TSTP Solution File: SEU162+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU162+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 13:36:04 EDT 2022
% Result : Theorem 0.46s 0.65s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU162+1 : TPTP v8.1.0. Released v3.3.0.
% 0.14/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.37 % Computer : n013.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 600
% 0.16/0.37 % DateTime : Sun Jun 19 05:04:14 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.46/0.65 # Version: 1.3
% 0.46/0.65 # SZS status Theorem
% 0.46/0.65 # SZS output start CNFRefutation
% 0.46/0.65 fof(t65_zfmisc_1,conjecture,(![A]:(![B]:(set_difference(A,singleton(B))=A<=>(~in(B,A))))),input).
% 0.46/0.65 fof(c10,negated_conjecture,(~(![A]:(![B]:(set_difference(A,singleton(B))=A<=>(~in(B,A)))))),inference(assume_negation,status(cth),[t65_zfmisc_1])).
% 0.46/0.65 fof(c11,negated_conjecture,(~(![A]:(![B]:(set_difference(A,singleton(B))=A<=>~in(B,A))))),inference(fof_simplification,status(thm),[c10])).
% 0.46/0.65 fof(c12,negated_conjecture,(?[A]:(?[B]:((set_difference(A,singleton(B))!=A|in(B,A))&(set_difference(A,singleton(B))=A|~in(B,A))))),inference(fof_nnf,status(thm),[c11])).
% 0.46/0.65 fof(c13,negated_conjecture,(?[X6]:(?[X7]:((set_difference(X6,singleton(X7))!=X6|in(X7,X6))&(set_difference(X6,singleton(X7))=X6|~in(X7,X6))))),inference(variable_rename,status(thm),[c12])).
% 0.46/0.65 fof(c14,negated_conjecture,((set_difference(skolem0001,singleton(skolem0002))!=skolem0001|in(skolem0002,skolem0001))&(set_difference(skolem0001,singleton(skolem0002))=skolem0001|~in(skolem0002,skolem0001))),inference(skolemize,status(esa),[c13])).
% 0.46/0.65 cnf(c15,negated_conjecture,set_difference(skolem0001,singleton(skolem0002))!=skolem0001|in(skolem0002,skolem0001),inference(split_conjunct,status(thm),[c14])).
% 0.46/0.65 fof(symmetry_r1_xboole_0,axiom,(![A]:(![B]:(disjoint(A,B)=>disjoint(B,A)))),input).
% 0.46/0.65 fof(c17,axiom,(![A]:(![B]:(~disjoint(A,B)|disjoint(B,A)))),inference(fof_nnf,status(thm),[symmetry_r1_xboole_0])).
% 0.46/0.65 fof(c18,axiom,(![X8]:(![X9]:(~disjoint(X8,X9)|disjoint(X9,X8)))),inference(variable_rename,status(thm),[c17])).
% 0.46/0.65 cnf(c19,axiom,~disjoint(X23,X24)|disjoint(X24,X23),inference(split_conjunct,status(thm),[c18])).
% 0.46/0.65 fof(l28_zfmisc_1,axiom,(![A]:(![B]:((~in(A,B))=>disjoint(singleton(A),B)))),input).
% 0.46/0.65 fof(c20,axiom,(![A]:(![B]:(~in(A,B)=>disjoint(singleton(A),B)))),inference(fof_simplification,status(thm),[l28_zfmisc_1])).
% 0.46/0.65 fof(c21,axiom,(![A]:(![B]:(in(A,B)|disjoint(singleton(A),B)))),inference(fof_nnf,status(thm),[c20])).
% 0.46/0.65 fof(c22,axiom,(![X10]:(![X11]:(in(X10,X11)|disjoint(singleton(X10),X11)))),inference(variable_rename,status(thm),[c21])).
% 0.46/0.65 cnf(c23,axiom,in(X30,X29)|disjoint(singleton(X30),X29),inference(split_conjunct,status(thm),[c22])).
% 0.46/0.65 cnf(c36,plain,in(X41,X40)|disjoint(X40,singleton(X41)),inference(resolution,status(thm),[c23, c19])).
% 0.46/0.65 fof(t83_xboole_1,axiom,(![A]:(![B]:(disjoint(A,B)<=>set_difference(A,B)=A))),input).
% 0.46/0.65 fof(c4,axiom,(![A]:(![B]:((~disjoint(A,B)|set_difference(A,B)=A)&(set_difference(A,B)!=A|disjoint(A,B))))),inference(fof_nnf,status(thm),[t83_xboole_1])).
% 0.46/0.65 fof(c5,axiom,((![A]:(![B]:(~disjoint(A,B)|set_difference(A,B)=A)))&(![A]:(![B]:(set_difference(A,B)!=A|disjoint(A,B))))),inference(shift_quantors,status(thm),[c4])).
% 0.46/0.65 fof(c7,axiom,(![X2]:(![X3]:(![X4]:(![X5]:((~disjoint(X2,X3)|set_difference(X2,X3)=X2)&(set_difference(X4,X5)!=X4|disjoint(X4,X5))))))),inference(shift_quantors,status(thm),[fof(c6,axiom,((![X2]:(![X3]:(~disjoint(X2,X3)|set_difference(X2,X3)=X2)))&(![X4]:(![X5]:(set_difference(X4,X5)!=X4|disjoint(X4,X5))))),inference(variable_rename,status(thm),[c5])).])).
% 0.46/0.65 cnf(c8,axiom,~disjoint(X50,X51)|set_difference(X50,X51)=X50,inference(split_conjunct,status(thm),[c7])).
% 0.46/0.65 cnf(c47,plain,set_difference(X114,singleton(X113))=X114|in(X113,X114),inference(resolution,status(thm),[c8, c36])).
% 0.46/0.65 cnf(c121,plain,in(skolem0002,skolem0001),inference(resolution,status(thm),[c47, c15])).
% 0.46/0.65 fof(l25_zfmisc_1,axiom,(![A]:(![B]:(~(disjoint(singleton(A),B)&in(A,B))))),input).
% 0.46/0.65 fof(c24,axiom,(![A]:(![B]:(~disjoint(singleton(A),B)|~in(A,B)))),inference(fof_nnf,status(thm),[l25_zfmisc_1])).
% 0.46/0.65 fof(c25,axiom,(![X12]:(![X13]:(~disjoint(singleton(X12),X13)|~in(X12,X13)))),inference(variable_rename,status(thm),[c24])).
% 0.46/0.65 cnf(c26,axiom,~disjoint(singleton(X32),X31)|~in(X32,X31),inference(split_conjunct,status(thm),[c25])).
% 0.46/0.65 cnf(c9,axiom,set_difference(X52,X53)!=X52|disjoint(X52,X53),inference(split_conjunct,status(thm),[c7])).
% 0.46/0.65 cnf(c16,negated_conjecture,set_difference(skolem0001,singleton(skolem0002))=skolem0001|~in(skolem0002,skolem0001),inference(split_conjunct,status(thm),[c14])).
% 0.46/0.65 cnf(c129,plain,set_difference(skolem0001,singleton(skolem0002))=skolem0001,inference(resolution,status(thm),[c47, c16])).
% 0.46/0.65 cnf(c178,plain,disjoint(skolem0001,singleton(skolem0002)),inference(resolution,status(thm),[c129, c9])).
% 0.46/0.65 cnf(c180,plain,disjoint(singleton(skolem0002),skolem0001),inference(resolution,status(thm),[c178, c19])).
% 0.46/0.65 cnf(c183,plain,~in(skolem0002,skolem0001),inference(resolution,status(thm),[c180, c26])).
% 0.46/0.65 cnf(c187,plain,$false,inference(resolution,status(thm),[c183, c121])).
% 0.46/0.65 # SZS output end CNFRefutation
% 0.46/0.65
% 0.46/0.65 # Initial clauses : 17
% 0.46/0.65 # Processed clauses : 43
% 0.46/0.65 # Factors computed : 2
% 0.46/0.65 # Resolvents computed: 156
% 0.46/0.65 # Tautologies deleted: 2
% 0.46/0.65 # Forward subsumed : 35
% 0.46/0.65 # Backward subsumed : 2
% 0.46/0.65 # -------- CPU Time ---------
% 0.46/0.65 # User time : 0.245 s
% 0.46/0.65 # System time : 0.020 s
% 0.46/0.65 # Total time : 0.265 s
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