TSTP Solution File: SEU294+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU294+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 13:37:07 EDT 2022
% Result : Theorem 1.06s 1.30s
% Output : Refutation 1.06s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU294+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 04:33:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.06/1.30 # Version: 1.3
% 1.06/1.30 # SZS status Theorem
% 1.06/1.30 # SZS output start CNFRefutation
% 1.06/1.30 fof(t13_finset_1,conjecture,(![A]:(![B]:((subset(A,B)&finite(B))=>finite(A)))),input).
% 1.06/1.30 fof(c41,negated_conjecture,(~(![A]:(![B]:((subset(A,B)&finite(B))=>finite(A))))),inference(assume_negation,status(cth),[t13_finset_1])).
% 1.06/1.30 fof(c42,negated_conjecture,(?[A]:(?[B]:((subset(A,B)&finite(B))&~finite(A)))),inference(fof_nnf,status(thm),[c41])).
% 1.06/1.30 fof(c43,negated_conjecture,(?[A]:((?[B]:(subset(A,B)&finite(B)))&~finite(A))),inference(shift_quantors,status(thm),[c42])).
% 1.06/1.30 fof(c44,negated_conjecture,(?[X21]:((?[X22]:(subset(X21,X22)&finite(X22)))&~finite(X21))),inference(variable_rename,status(thm),[c43])).
% 1.06/1.30 fof(c45,negated_conjecture,((subset(skolem0001,skolem0002)&finite(skolem0002))&~finite(skolem0001)),inference(skolemize,status(esa),[c44])).
% 1.06/1.30 cnf(c48,negated_conjecture,~finite(skolem0001),inference(split_conjunct,status(thm),[c45])).
% 1.06/1.30 cnf(c47,negated_conjecture,finite(skolem0002),inference(split_conjunct,status(thm),[c45])).
% 1.06/1.30 fof(cc2_finset_1,axiom,(![A]:(finite(A)=>(![B]:(element(B,powerset(A))=>finite(B))))),input).
% 1.06/1.30 fof(c194,axiom,(![A]:(~finite(A)|(![B]:(~element(B,powerset(A))|finite(B))))),inference(fof_nnf,status(thm),[cc2_finset_1])).
% 1.06/1.30 fof(c196,axiom,(![X52]:(![X53]:(~finite(X52)|(~element(X53,powerset(X52))|finite(X53))))),inference(shift_quantors,status(thm),[fof(c195,axiom,(![X52]:(~finite(X52)|(![X53]:(~element(X53,powerset(X52))|finite(X53))))),inference(variable_rename,status(thm),[c194])).])).
% 1.06/1.30 cnf(c197,axiom,~finite(X194)|~element(X195,powerset(X194))|finite(X195),inference(split_conjunct,status(thm),[c196])).
% 1.06/1.30 cnf(c46,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c45])).
% 1.06/1.30 fof(t3_subset,axiom,(![A]:(![B]:(element(A,powerset(B))<=>subset(A,B)))),input).
% 1.06/1.30 fof(c29,axiom,(![A]:(![B]:((~element(A,powerset(B))|subset(A,B))&(~subset(A,B)|element(A,powerset(B)))))),inference(fof_nnf,status(thm),[t3_subset])).
% 1.06/1.30 fof(c30,axiom,((![A]:(![B]:(~element(A,powerset(B))|subset(A,B))))&(![A]:(![B]:(~subset(A,B)|element(A,powerset(B)))))),inference(shift_quantors,status(thm),[c29])).
% 1.06/1.30 fof(c32,axiom,(![X13]:(![X14]:(![X15]:(![X16]:((~element(X13,powerset(X14))|subset(X13,X14))&(~subset(X15,X16)|element(X15,powerset(X16)))))))),inference(shift_quantors,status(thm),[fof(c31,axiom,((![X13]:(![X14]:(~element(X13,powerset(X14))|subset(X13,X14))))&(![X15]:(![X16]:(~subset(X15,X16)|element(X15,powerset(X16)))))),inference(variable_rename,status(thm),[c30])).])).
% 1.06/1.30 cnf(c34,axiom,~subset(X144,X143)|element(X144,powerset(X143)),inference(split_conjunct,status(thm),[c32])).
% 1.06/1.30 cnf(c301,plain,element(skolem0001,powerset(skolem0002)),inference(resolution,status(thm),[c34, c46])).
% 1.06/1.30 cnf(c1085,plain,~finite(skolem0002)|finite(skolem0001),inference(resolution,status(thm),[c301, c197])).
% 1.06/1.30 cnf(c2481,plain,finite(skolem0001),inference(resolution,status(thm),[c1085, c47])).
% 1.06/1.30 cnf(c2485,plain,$false,inference(resolution,status(thm),[c2481, c48])).
% 1.06/1.30 # SZS output end CNFRefutation
% 1.06/1.30
% 1.06/1.30 # Initial clauses : 127
% 1.06/1.30 # Processed clauses : 400
% 1.06/1.30 # Factors computed : 0
% 1.06/1.30 # Resolvents computed: 2256
% 1.06/1.30 # Tautologies deleted: 18
% 1.06/1.30 # Forward subsumed : 395
% 1.06/1.30 # Backward subsumed : 24
% 1.06/1.30 # -------- CPU Time ---------
% 1.06/1.30 # User time : 0.933 s
% 1.06/1.30 # System time : 0.016 s
% 1.06/1.30 # Total time : 0.949 s
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