TSTP Solution File: SET941+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET941+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 04:41:29 EDT 2022
% Result : Theorem 17.60s 17.83s
% Output : Refutation 17.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET941+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jul 9 19:14:43 EDT 2022
% 0.11/0.33 % CPUTime :
% 17.60/17.83 # Version: 1.3
% 17.60/17.83 # SZS status Theorem
% 17.60/17.83 # SZS output start CNFRefutation
% 17.60/17.83 fof(t94_zfmisc_1,conjecture,(![A]:(![B]:((![C]:(in(C,A)=>subset(C,B)))=>subset(union(A),B)))),input).
% 17.60/17.83 fof(c4,negated_conjecture,(~(![A]:(![B]:((![C]:(in(C,A)=>subset(C,B)))=>subset(union(A),B))))),inference(assume_negation,status(cth),[t94_zfmisc_1])).
% 17.60/17.83 fof(c5,negated_conjecture,(?[A]:(?[B]:((![C]:(~in(C,A)|subset(C,B)))&~subset(union(A),B)))),inference(fof_nnf,status(thm),[c4])).
% 17.60/17.83 fof(c6,negated_conjecture,(?[X2]:(?[X3]:((![X4]:(~in(X4,X2)|subset(X4,X3)))&~subset(union(X2),X3)))),inference(variable_rename,status(thm),[c5])).
% 17.60/17.83 fof(c8,negated_conjecture,(![X4]:((~in(X4,skolem0001)|subset(X4,skolem0002))&~subset(union(skolem0001),skolem0002))),inference(shift_quantors,status(thm),[fof(c7,negated_conjecture,((![X4]:(~in(X4,skolem0001)|subset(X4,skolem0002)))&~subset(union(skolem0001),skolem0002)),inference(skolemize,status(esa),[c6])).])).
% 17.60/17.83 cnf(c10,negated_conjecture,~subset(union(skolem0001),skolem0002),inference(split_conjunct,status(thm),[c8])).
% 17.60/17.83 fof(d3_tarski,axiom,(![A]:(![B]:(subset(A,B)<=>(![C]:(in(C,A)=>in(C,B)))))),input).
% 17.60/17.83 fof(c33,axiom,(![A]:(![B]:((~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))&((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(fof_nnf,status(thm),[d3_tarski])).
% 17.60/17.83 fof(c34,axiom,((![A]:(![B]:(~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))))&(![A]:(![B]:((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(shift_quantors,status(thm),[c33])).
% 17.60/17.83 fof(c35,axiom,((![X19]:(![X20]:(~subset(X19,X20)|(![X21]:(~in(X21,X19)|in(X21,X20))))))&(![X22]:(![X23]:((?[X24]:(in(X24,X22)&~in(X24,X23)))|subset(X22,X23))))),inference(variable_rename,status(thm),[c34])).
% 17.60/17.83 fof(c37,axiom,(![X19]:(![X20]:(![X21]:(![X22]:(![X23]:((~subset(X19,X20)|(~in(X21,X19)|in(X21,X20)))&((in(skolem0008(X22,X23),X22)&~in(skolem0008(X22,X23),X23))|subset(X22,X23)))))))),inference(shift_quantors,status(thm),[fof(c36,axiom,((![X19]:(![X20]:(~subset(X19,X20)|(![X21]:(~in(X21,X19)|in(X21,X20))))))&(![X22]:(![X23]:((in(skolem0008(X22,X23),X22)&~in(skolem0008(X22,X23),X23))|subset(X22,X23))))),inference(skolemize,status(esa),[c35])).])).
% 17.60/17.83 fof(c38,axiom,(![X19]:(![X20]:(![X21]:(![X22]:(![X23]:((~subset(X19,X20)|(~in(X21,X19)|in(X21,X20)))&((in(skolem0008(X22,X23),X22)|subset(X22,X23))&(~in(skolem0008(X22,X23),X23)|subset(X22,X23))))))))),inference(distribute,status(thm),[c37])).
% 17.60/17.83 cnf(c41,axiom,~in(skolem0008(X48,X49),X49)|subset(X48,X49),inference(split_conjunct,status(thm),[c38])).
% 17.60/17.83 cnf(c9,negated_conjecture,~in(X45,skolem0001)|subset(X45,skolem0002),inference(split_conjunct,status(thm),[c8])).
% 17.60/17.83 cnf(c40,axiom,in(skolem0008(X46,X47),X46)|subset(X46,X47),inference(split_conjunct,status(thm),[c38])).
% 17.60/17.83 cnf(c52,plain,in(skolem0008(union(skolem0001),skolem0002),union(skolem0001)),inference(resolution,status(thm),[c40, c10])).
% 17.60/17.83 cnf(reflexivity,axiom,X27=X27,eq_axiom).
% 17.60/17.83 fof(d4_tarski,axiom,(![A]:(![B]:(B=union(A)<=>(![C]:(in(C,B)<=>(?[D]:(in(C,D)&in(D,A)))))))),input).
% 17.60/17.83 fof(c21,axiom,(![A]:(![B]:((B!=union(A)|(![C]:((~in(C,B)|(?[D]:(in(C,D)&in(D,A))))&((![D]:(~in(C,D)|~in(D,A)))|in(C,B)))))&((?[C]:((~in(C,B)|(![D]:(~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]:(in(C,D)&in(D,A))))))|B=union(A))))),inference(fof_nnf,status(thm),[d4_tarski])).
% 17.60/17.83 fof(c22,axiom,((![A]:(![B]:(B!=union(A)|((![C]:(~in(C,B)|(?[D]:(in(C,D)&in(D,A)))))&(![C]:((![D]:(~in(C,D)|~in(D,A)))|in(C,B)))))))&(![A]:(![B]:((?[C]:((~in(C,B)|(![D]:(~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]:(in(C,D)&in(D,A))))))|B=union(A))))),inference(shift_quantors,status(thm),[c21])).
% 17.60/17.83 fof(c23,axiom,((![X8]:(![X9]:(X9!=union(X8)|((![X10]:(~in(X10,X9)|(?[X11]:(in(X10,X11)&in(X11,X8)))))&(![X12]:((![X13]:(~in(X12,X13)|~in(X13,X8)))|in(X12,X9)))))))&(![X14]:(![X15]:((?[X16]:((~in(X16,X15)|(![X17]:(~in(X16,X17)|~in(X17,X14))))&(in(X16,X15)|(?[X18]:(in(X16,X18)&in(X18,X14))))))|X15=union(X14))))),inference(variable_rename,status(thm),[c22])).
% 17.60/17.83 fof(c25,axiom,(![X8]:(![X9]:(![X10]:(![X12]:(![X13]:(![X14]:(![X15]:(![X17]:((X9!=union(X8)|((~in(X10,X9)|(in(X10,skolem0005(X8,X9,X10))&in(skolem0005(X8,X9,X10),X8)))&((~in(X12,X13)|~in(X13,X8))|in(X12,X9))))&(((~in(skolem0006(X14,X15),X15)|(~in(skolem0006(X14,X15),X17)|~in(X17,X14)))&(in(skolem0006(X14,X15),X15)|(in(skolem0006(X14,X15),skolem0007(X14,X15))&in(skolem0007(X14,X15),X14))))|X15=union(X14))))))))))),inference(shift_quantors,status(thm),[fof(c24,axiom,((![X8]:(![X9]:(X9!=union(X8)|((![X10]:(~in(X10,X9)|(in(X10,skolem0005(X8,X9,X10))&in(skolem0005(X8,X9,X10),X8))))&(![X12]:((![X13]:(~in(X12,X13)|~in(X13,X8)))|in(X12,X9)))))))&(![X14]:(![X15]:(((~in(skolem0006(X14,X15),X15)|(![X17]:(~in(skolem0006(X14,X15),X17)|~in(X17,X14))))&(in(skolem0006(X14,X15),X15)|(in(skolem0006(X14,X15),skolem0007(X14,X15))&in(skolem0007(X14,X15),X14))))|X15=union(X14))))),inference(skolemize,status(esa),[c23])).])).
% 17.60/17.83 fof(c26,axiom,(![X8]:(![X9]:(![X10]:(![X12]:(![X13]:(![X14]:(![X15]:(![X17]:((((X9!=union(X8)|(~in(X10,X9)|in(X10,skolem0005(X8,X9,X10))))&(X9!=union(X8)|(~in(X10,X9)|in(skolem0005(X8,X9,X10),X8))))&(X9!=union(X8)|((~in(X12,X13)|~in(X13,X8))|in(X12,X9))))&(((~in(skolem0006(X14,X15),X15)|(~in(skolem0006(X14,X15),X17)|~in(X17,X14)))|X15=union(X14))&(((in(skolem0006(X14,X15),X15)|in(skolem0006(X14,X15),skolem0007(X14,X15)))|X15=union(X14))&((in(skolem0006(X14,X15),X15)|in(skolem0007(X14,X15),X14))|X15=union(X14))))))))))))),inference(distribute,status(thm),[c25])).
% 17.60/17.83 cnf(c28,axiom,X82!=union(X83)|~in(X81,X82)|in(skolem0005(X83,X82,X81),X83),inference(split_conjunct,status(thm),[c26])).
% 17.60/17.83 cnf(c72,plain,~in(X84,union(X85))|in(skolem0005(X85,union(X85),X84),X85),inference(resolution,status(thm),[c28, reflexivity])).
% 17.60/17.83 cnf(c73,plain,in(skolem0005(skolem0001,union(skolem0001),skolem0008(union(skolem0001),skolem0002)),skolem0001),inference(resolution,status(thm),[c72, c52])).
% 17.60/17.83 cnf(c179,plain,subset(skolem0005(skolem0001,union(skolem0001),skolem0008(union(skolem0001),skolem0002)),skolem0002),inference(resolution,status(thm),[c73, c9])).
% 17.60/17.83 cnf(c39,axiom,~subset(X57,X58)|~in(X59,X57)|in(X59,X58),inference(split_conjunct,status(thm),[c38])).
% 17.60/17.83 cnf(c27,axiom,X75!=union(X76)|~in(X74,X75)|in(X74,skolem0005(X76,X75,X74)),inference(split_conjunct,status(thm),[c26])).
% 17.60/17.83 cnf(c69,plain,~in(X80,union(X79))|in(X80,skolem0005(X79,union(X79),X80)),inference(resolution,status(thm),[c27, reflexivity])).
% 17.60/17.83 cnf(c70,plain,in(skolem0008(union(skolem0001),skolem0002),skolem0005(skolem0001,union(skolem0001),skolem0008(union(skolem0001),skolem0002))),inference(resolution,status(thm),[c69, c52])).
% 17.60/17.83 cnf(c332,plain,~subset(skolem0005(skolem0001,union(skolem0001),skolem0008(union(skolem0001),skolem0002)),X2096)|in(skolem0008(union(skolem0001),skolem0002),X2096),inference(resolution,status(thm),[c70, c39])).
% 17.60/17.83 cnf(c47216,plain,in(skolem0008(union(skolem0001),skolem0002),skolem0002),inference(resolution,status(thm),[c332, c179])).
% 17.60/17.83 cnf(c47280,plain,subset(union(skolem0001),skolem0002),inference(resolution,status(thm),[c47216, c41])).
% 17.60/17.83 cnf(c47332,plain,$false,inference(resolution,status(thm),[c47280, c10])).
% 17.60/17.83 # SZS output end CNFRefutation
% 17.60/17.83
% 17.60/17.83 # Initial clauses : 22
% 17.60/17.83 # Processed clauses : 740
% 17.60/17.83 # Factors computed : 56
% 17.60/17.83 # Resolvents computed: 47236
% 17.60/17.83 # Tautologies deleted: 5
% 17.60/17.83 # Forward subsumed : 385
% 17.60/17.83 # Backward subsumed : 20
% 17.60/17.83 # -------- CPU Time ---------
% 17.60/17.83 # User time : 17.360 s
% 17.60/17.83 # System time : 0.133 s
% 17.60/17.83 # Total time : 17.493 s
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