TSTP Solution File: SET987+1 by PyRes---1.3
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- Process Solution
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% File : PyRes---1.3
% Problem : SET987+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 04:41:45 EDT 2022
% Result : Theorem 47.27s 47.68s
% Output : Refutation 47.27s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET987+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 11:40:02 EDT 2022
% 0.14/0.34 % CPUTime :
% 47.27/47.68 # Version: 1.3
% 47.27/47.68 # SZS status Theorem
% 47.27/47.68 # SZS output start CNFRefutation
% 47.27/47.68 fof(t141_zfmisc_1,conjecture,(![A]:(![B]:((~in(A,B))=>set_difference(set_union2(B,singleton(A)),singleton(A))=B))),input).
% 47.27/47.68 fof(c14,negated_conjecture,(~(![A]:(![B]:((~in(A,B))=>set_difference(set_union2(B,singleton(A)),singleton(A))=B)))),inference(assume_negation,status(cth),[t141_zfmisc_1])).
% 47.27/47.68 fof(c15,negated_conjecture,(~(![A]:(![B]:(~in(A,B)=>set_difference(set_union2(B,singleton(A)),singleton(A))=B)))),inference(fof_simplification,status(thm),[c14])).
% 47.27/47.68 fof(c16,negated_conjecture,(?[A]:(?[B]:(~in(A,B)&set_difference(set_union2(B,singleton(A)),singleton(A))!=B))),inference(fof_nnf,status(thm),[c15])).
% 47.27/47.68 fof(c17,negated_conjecture,(?[X8]:(?[X9]:(~in(X8,X9)&set_difference(set_union2(X9,singleton(X8)),singleton(X8))!=X9))),inference(variable_rename,status(thm),[c16])).
% 47.27/47.68 fof(c18,negated_conjecture,(~in(skolem0001,skolem0002)&set_difference(set_union2(skolem0002,singleton(skolem0001)),singleton(skolem0001))!=skolem0002),inference(skolemize,status(esa),[c17])).
% 47.27/47.68 cnf(c19,negated_conjecture,~in(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c18])).
% 47.27/47.68 cnf(c20,negated_conjecture,set_difference(set_union2(skolem0002,singleton(skolem0001)),singleton(skolem0001))!=skolem0002,inference(split_conjunct,status(thm),[c18])).
% 47.27/47.68 fof(t40_xboole_1,axiom,(![A]:(![B]:set_difference(set_union2(A,B),B)=set_difference(A,B))),input).
% 47.27/47.68 fof(c12,axiom,(![X6]:(![X7]:set_difference(set_union2(X6,X7),X7)=set_difference(X6,X7))),inference(variable_rename,status(thm),[t40_xboole_1])).
% 47.27/47.68 cnf(c13,axiom,set_difference(set_union2(X85,X84),X84)=set_difference(X85,X84),inference(split_conjunct,status(thm),[c12])).
% 47.27/47.68 cnf(transitivity,axiom,X32!=X33|X33!=X34|X32=X34,eq_axiom).
% 47.27/47.68 fof(t65_zfmisc_1,axiom,(![A]:(![B]:(set_difference(A,singleton(B))=A<=>(~in(B,A))))),input).
% 47.27/47.68 fof(c5,axiom,(![A]:(![B]:(set_difference(A,singleton(B))=A<=>~in(B,A)))),inference(fof_simplification,status(thm),[t65_zfmisc_1])).
% 47.27/47.68 fof(c6,axiom,(![A]:(![B]:((set_difference(A,singleton(B))!=A|~in(B,A))&(in(B,A)|set_difference(A,singleton(B))=A)))),inference(fof_nnf,status(thm),[c5])).
% 47.27/47.68 fof(c7,axiom,((![A]:(![B]:(set_difference(A,singleton(B))!=A|~in(B,A))))&(![A]:(![B]:(in(B,A)|set_difference(A,singleton(B))=A)))),inference(shift_quantors,status(thm),[c6])).
% 47.27/47.68 fof(c9,axiom,(![X2]:(![X3]:(![X4]:(![X5]:((set_difference(X2,singleton(X3))!=X2|~in(X3,X2))&(in(X5,X4)|set_difference(X4,singleton(X5))=X4)))))),inference(shift_quantors,status(thm),[fof(c8,axiom,((![X2]:(![X3]:(set_difference(X2,singleton(X3))!=X2|~in(X3,X2))))&(![X4]:(![X5]:(in(X5,X4)|set_difference(X4,singleton(X5))=X4)))),inference(variable_rename,status(thm),[c7])).])).
% 47.27/47.68 cnf(c11,axiom,in(X81,X80)|set_difference(X80,singleton(X81))=X80,inference(split_conjunct,status(thm),[c9])).
% 47.27/47.68 cnf(c110,plain,in(X328,X329)|X330!=set_difference(X329,singleton(X328))|X330=X329,inference(resolution,status(thm),[c11, transitivity])).
% 47.27/47.68 cnf(c1254,plain,in(X3487,X3488)|set_difference(set_union2(X3488,singleton(X3487)),singleton(X3487))=X3488,inference(resolution,status(thm),[c110, c13])).
% 47.27/47.68 cnf(c61350,plain,in(skolem0001,skolem0002),inference(resolution,status(thm),[c1254, c20])).
% 47.27/47.68 cnf(c61382,plain,$false,inference(resolution,status(thm),[c61350, c19])).
% 47.27/47.68 # SZS output end CNFRefutation
% 47.27/47.68
% 47.27/47.68 # Initial clauses : 20
% 47.27/47.68 # Processed clauses : 868
% 47.27/47.68 # Factors computed : 2
% 47.27/47.68 # Resolvents computed: 61340
% 47.27/47.68 # Tautologies deleted: 4
% 47.27/47.68 # Forward subsumed : 1412
% 47.27/47.68 # Backward subsumed : 4
% 47.27/47.68 # -------- CPU Time ---------
% 47.27/47.68 # User time : 46.903 s
% 47.27/47.68 # System time : 0.177 s
% 47.27/47.68 # Total time : 47.080 s
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