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ex24.out
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============================== Prover9 ===============================
Prover9 (64) version 2009-11A, November 2009.
Process 6429 was started by qwang on grid01,
Wed Jun 26 22:33:07 2019
The command was "prover9 -f ex24.in".
============================== end of head ===========================
============================== INPUT =================================
% Reading from file ex24.in
formulas(sos).
(all x islike(x,x)).
(all x all y (ismember(x,y) -> want(x,y) & accept(y,x))).
(all x ((exists y (accept(x,y) & islike(y,groucho))) -> -want(groucho,x))).
end_of_list.
formulas(goals).
(all x -ismember(groucho,x)).
end_of_list.
============================== end of input ==========================
============================== PROCESS NON-CLAUSAL FORMULAS ==========
% Formulas that are not ordinary clauses:
1 (all x islike(x,x)) # label(non_clause). [assumption].
2 (all x all y (ismember(x,y) -> want(x,y) & accept(y,x))) # label(non_clause). [assumption].
3 (all x ((exists y (accept(x,y) & islike(y,groucho))) -> -want(groucho,x))) # label(non_clause). [assumption].
4 (all x -ismember(groucho,x)) # label(non_clause) # label(goal). [goal].
============================== end of process non-clausal formulas ===
============================== PROCESS INITIAL CLAUSES ===============
% Clauses before input processing:
formulas(usable).
end_of_list.
formulas(sos).
islike(x,x). [clausify(1)].
-ismember(x,y) | want(x,y). [clausify(2)].
-ismember(x,y) | accept(y,x). [clausify(2)].
-accept(x,y) | -islike(y,groucho) | -want(groucho,x). [clausify(3)].
ismember(groucho,c1). [deny(4)].
end_of_list.
formulas(demodulators).
end_of_list.
============================== PREDICATE ELIMINATION =================
Eliminating islike/2
5 -accept(x,y) | -islike(y,groucho) | -want(groucho,x). [clausify(3)].
6 islike(x,x). [clausify(1)].
Derived: -accept(x,groucho) | -want(groucho,x). [resolve(5,b,6,a)].
Eliminating ismember/2
7 ismember(groucho,c1). [deny(4)].
8 -ismember(x,y) | want(x,y). [clausify(2)].
9 -ismember(x,y) | accept(y,x). [clausify(2)].
Derived: want(groucho,c1). [resolve(7,a,8,a)].
Derived: accept(c1,groucho). [resolve(7,a,9,a)].
Eliminating accept/2
10 accept(c1,groucho). [resolve(7,a,9,a)].
11 -accept(x,groucho) | -want(groucho,x). [resolve(5,b,6,a)].
Derived: -want(groucho,c1). [resolve(10,a,11,a)].
Eliminating want/2
12 -want(groucho,c1). [resolve(10,a,11,a)].
13 want(groucho,c1). [resolve(7,a,8,a)].
Derived: $F. [resolve(12,a,13,a)].
============================== end predicate elimination =============
Auto_denials: (no changes).
Term ordering decisions:
Predicate symbol precedence: predicate_order([ ]).
Function symbol precedence: function_order([ ]).
After inverse_order: (no changes).
Unfolding symbols: (none).
Auto_inference settings:
% set(neg_binary_resolution). % (HNE depth_diff=0)
% clear(ordered_res). % (HNE depth_diff=0)
% set(ur_resolution). % (HNE depth_diff=0)
% set(ur_resolution) -> set(pos_ur_resolution).
% set(ur_resolution) -> set(neg_ur_resolution).
Auto_process settings: (no changes).
============================== PROOF =================================
% Proof 1 at 0.00 (+ 0.00) seconds.
% Length of proof is 14.
% Level of proof is 4.
% Maximum clause weight is 0.000.
% Given clauses 0.
1 (all x islike(x,x)) # label(non_clause). [assumption].
2 (all x all y (ismember(x,y) -> want(x,y) & accept(y,x))) # label(non_clause). [assumption].
3 (all x ((exists y (accept(x,y) & islike(y,groucho))) -> -want(groucho,x))) # label(non_clause). [assumption].
4 (all x -ismember(groucho,x)) # label(non_clause) # label(goal). [goal].
5 -accept(x,y) | -islike(y,groucho) | -want(groucho,x). [clausify(3)].
6 islike(x,x). [clausify(1)].
7 ismember(groucho,c1). [deny(4)].
8 -ismember(x,y) | want(x,y). [clausify(2)].
9 -ismember(x,y) | accept(y,x). [clausify(2)].
10 accept(c1,groucho). [resolve(7,a,9,a)].
11 -accept(x,groucho) | -want(groucho,x). [resolve(5,b,6,a)].
12 -want(groucho,c1). [resolve(10,a,11,a)].
13 want(groucho,c1). [resolve(7,a,8,a)].
14 $F. [resolve(12,a,13,a)].
============================== end of proof ==========================
============================== STATISTICS ============================
Given=0. Generated=1. Kept=0. proofs=1.
Usable=0. Sos=0. Demods=0. Limbo=0, Disabled=10. Hints=0.
Kept_by_rule=0, Deleted_by_rule=0.
Forward_subsumed=0. Back_subsumed=0.
Sos_limit_deleted=0. Sos_displaced=0. Sos_removed=0.
New_demodulators=0 (0 lex), Back_demodulated=0. Back_unit_deleted=0.
Demod_attempts=0. Demod_rewrites=0.
Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0.
Nonunit_fsub_feature_tests=0. Nonunit_bsub_feature_tests=0.
Megabytes=0.03.
User_CPU=0.00, System_CPU=0.00, Wall_clock=0.
============================== end of statistics =====================
============================== end of search =========================
THEOREM PROVED
Exiting with 1 proof.
Process 6429 exit (max_proofs) Wed Jun 26 22:33:07 2019