TSTP Solution File: SET988+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET988+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 04:41:46 EDT 2022
% Result : Theorem 181.90s 182.13s
% Output : Refutation 181.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET988+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.11 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jul 10 15:08:38 EDT 2022
% 0.11/0.32 % CPUTime :
% 181.90/182.13 # Version: 1.3
% 181.90/182.13 # SZS status Theorem
% 181.90/182.13 # SZS output start CNFRefutation
% 181.90/182.13 fof(t2_funct_1,conjecture,(![A]:(((![B]:(~(in(B,A)&(![C]:(![D]:ordered_pair(C,D)!=B)))))&(![B]:(![C]:(![D]:((in(ordered_pair(B,C),A)&in(ordered_pair(B,D),A))=>C=D)))))=>(relation(A)&function(A)))),input).
% 181.90/182.13 fof(c30,negated_conjecture,(~(![A]:(((![B]:(~(in(B,A)&(![C]:(![D]:ordered_pair(C,D)!=B)))))&(![B]:(![C]:(![D]:((in(ordered_pair(B,C),A)&in(ordered_pair(B,D),A))=>C=D)))))=>(relation(A)&function(A))))),inference(assume_negation,status(cth),[t2_funct_1])).
% 181.90/182.13 fof(c31,negated_conjecture,(?[A]:(((![B]:(~in(B,A)|(?[C]:(?[D]:ordered_pair(C,D)=B))))&(![B]:(![C]:(![D]:((~in(ordered_pair(B,C),A)|~in(ordered_pair(B,D),A))|C=D)))))&(~relation(A)|~function(A)))),inference(fof_nnf,status(thm),[c30])).
% 181.90/182.13 fof(c32,negated_conjecture,(?[X18]:(((![X19]:(~in(X19,X18)|(?[X20]:(?[X21]:ordered_pair(X20,X21)=X19))))&(![X22]:(![X23]:(![X24]:((~in(ordered_pair(X22,X23),X18)|~in(ordered_pair(X22,X24),X18))|X23=X24)))))&(~relation(X18)|~function(X18)))),inference(variable_rename,status(thm),[c31])).
% 181.90/182.13 fof(c34,negated_conjecture,(![X19]:(![X22]:(![X23]:(![X24]:(((~in(X19,skolem0007)|ordered_pair(skolem0008(X19),skolem0009(X19))=X19)&((~in(ordered_pair(X22,X23),skolem0007)|~in(ordered_pair(X22,X24),skolem0007))|X23=X24))&(~relation(skolem0007)|~function(skolem0007))))))),inference(shift_quantors,status(thm),[fof(c33,negated_conjecture,(((![X19]:(~in(X19,skolem0007)|ordered_pair(skolem0008(X19),skolem0009(X19))=X19))&(![X22]:(![X23]:(![X24]:((~in(ordered_pair(X22,X23),skolem0007)|~in(ordered_pair(X22,X24),skolem0007))|X23=X24)))))&(~relation(skolem0007)|~function(skolem0007))),inference(skolemize,status(esa),[c32])).])).
% 181.90/182.13 cnf(c37,negated_conjecture,~relation(skolem0007)|~function(skolem0007),inference(split_conjunct,status(thm),[c34])).
% 181.90/182.13 fof(d1_funct_1,axiom,(![A]:(function(A)<=>(![B]:(![C]:(![D]:((in(ordered_pair(B,C),A)&in(ordered_pair(B,D),A))=>C=D)))))),input).
% 181.90/182.13 fof(c20,axiom,(![A]:((~function(A)|(![B]:(![C]:(![D]:((~in(ordered_pair(B,C),A)|~in(ordered_pair(B,D),A))|C=D)))))&((?[B]:(?[C]:(?[D]:((in(ordered_pair(B,C),A)&in(ordered_pair(B,D),A))&C!=D))))|function(A)))),inference(fof_nnf,status(thm),[d1_funct_1])).
% 181.90/182.13 fof(c21,axiom,((![A]:(~function(A)|(![B]:(![C]:(![D]:((~in(ordered_pair(B,C),A)|~in(ordered_pair(B,D),A))|C=D))))))&(![A]:((?[B]:(?[C]:(?[D]:((in(ordered_pair(B,C),A)&in(ordered_pair(B,D),A))&C!=D))))|function(A)))),inference(shift_quantors,status(thm),[c20])).
% 181.90/182.13 fof(c22,axiom,((![X10]:(~function(X10)|(![X11]:(![X12]:(![X13]:((~in(ordered_pair(X11,X12),X10)|~in(ordered_pair(X11,X13),X10))|X12=X13))))))&(![X14]:((?[X15]:(?[X16]:(?[X17]:((in(ordered_pair(X15,X16),X14)&in(ordered_pair(X15,X17),X14))&X16!=X17))))|function(X14)))),inference(variable_rename,status(thm),[c21])).
% 181.90/182.13 fof(c24,axiom,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((~function(X10)|((~in(ordered_pair(X11,X12),X10)|~in(ordered_pair(X11,X13),X10))|X12=X13))&(((in(ordered_pair(skolem0004(X14),skolem0005(X14)),X14)&in(ordered_pair(skolem0004(X14),skolem0006(X14)),X14))&skolem0005(X14)!=skolem0006(X14))|function(X14)))))))),inference(shift_quantors,status(thm),[fof(c23,axiom,((![X10]:(~function(X10)|(![X11]:(![X12]:(![X13]:((~in(ordered_pair(X11,X12),X10)|~in(ordered_pair(X11,X13),X10))|X12=X13))))))&(![X14]:(((in(ordered_pair(skolem0004(X14),skolem0005(X14)),X14)&in(ordered_pair(skolem0004(X14),skolem0006(X14)),X14))&skolem0005(X14)!=skolem0006(X14))|function(X14)))),inference(skolemize,status(esa),[c22])).])).
% 181.90/182.13 fof(c25,axiom,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((~function(X10)|((~in(ordered_pair(X11,X12),X10)|~in(ordered_pair(X11,X13),X10))|X12=X13))&(((in(ordered_pair(skolem0004(X14),skolem0005(X14)),X14)|function(X14))&(in(ordered_pair(skolem0004(X14),skolem0006(X14)),X14)|function(X14)))&(skolem0005(X14)!=skolem0006(X14)|function(X14))))))))),inference(distribute,status(thm),[c24])).
% 181.90/182.13 cnf(c29,axiom,skolem0005(X174)!=skolem0006(X174)|function(X174),inference(split_conjunct,status(thm),[c25])).
% 181.90/182.13 cnf(c27,axiom,in(ordered_pair(skolem0004(X167),skolem0005(X167)),X167)|function(X167),inference(split_conjunct,status(thm),[c25])).
% 181.90/182.13 cnf(c28,axiom,in(ordered_pair(skolem0004(X171),skolem0006(X171)),X171)|function(X171),inference(split_conjunct,status(thm),[c25])).
% 181.90/182.13 cnf(c36,negated_conjecture,~in(ordered_pair(X184,X182),skolem0007)|~in(ordered_pair(X184,X183),skolem0007)|X182=X183,inference(split_conjunct,status(thm),[c34])).
% 181.90/182.13 cnf(c322,plain,~in(ordered_pair(skolem0004(skolem0007),X556),skolem0007)|X556=skolem0006(skolem0007)|function(skolem0007),inference(resolution,status(thm),[c36, c28])).
% 181.90/182.13 cnf(c2603,plain,skolem0005(skolem0007)=skolem0006(skolem0007)|function(skolem0007),inference(resolution,status(thm),[c322, c27])).
% 181.90/182.13 cnf(c83809,plain,function(skolem0007),inference(resolution,status(thm),[c2603, c29])).
% 181.90/182.13 cnf(c83844,plain,~relation(skolem0007),inference(resolution,status(thm),[c83809, c37])).
% 181.90/182.13 fof(d1_relat_1,axiom,(![A]:(relation(A)<=>(![B]:(~(in(B,A)&(![C]:(![D]:B!=ordered_pair(C,D)))))))),input).
% 181.90/182.13 fof(c11,axiom,(![A]:((~relation(A)|(![B]:(~in(B,A)|(?[C]:(?[D]:B=ordered_pair(C,D))))))&((?[B]:(in(B,A)&(![C]:(![D]:B!=ordered_pair(C,D)))))|relation(A)))),inference(fof_nnf,status(thm),[d1_relat_1])).
% 181.90/182.13 fof(c12,axiom,((![A]:(~relation(A)|(![B]:(~in(B,A)|(?[C]:(?[D]:B=ordered_pair(C,D)))))))&(![A]:((?[B]:(in(B,A)&(![C]:(![D]:B!=ordered_pair(C,D)))))|relation(A)))),inference(shift_quantors,status(thm),[c11])).
% 181.90/182.13 fof(c13,axiom,((![X2]:(~relation(X2)|(![X3]:(~in(X3,X2)|(?[X4]:(?[X5]:X3=ordered_pair(X4,X5)))))))&(![X6]:((?[X7]:(in(X7,X6)&(![X8]:(![X9]:X7!=ordered_pair(X8,X9)))))|relation(X6)))),inference(variable_rename,status(thm),[c12])).
% 181.90/182.13 fof(c15,axiom,(![X2]:(![X3]:(![X6]:(![X8]:(![X9]:((~relation(X2)|(~in(X3,X2)|X3=ordered_pair(skolem0001(X2,X3),skolem0002(X2,X3))))&((in(skolem0003(X6),X6)&skolem0003(X6)!=ordered_pair(X8,X9))|relation(X6)))))))),inference(shift_quantors,status(thm),[fof(c14,axiom,((![X2]:(~relation(X2)|(![X3]:(~in(X3,X2)|X3=ordered_pair(skolem0001(X2,X3),skolem0002(X2,X3))))))&(![X6]:((in(skolem0003(X6),X6)&(![X8]:(![X9]:skolem0003(X6)!=ordered_pair(X8,X9))))|relation(X6)))),inference(skolemize,status(esa),[c13])).])).
% 181.90/182.13 fof(c16,axiom,(![X2]:(![X3]:(![X6]:(![X8]:(![X9]:((~relation(X2)|(~in(X3,X2)|X3=ordered_pair(skolem0001(X2,X3),skolem0002(X2,X3))))&((in(skolem0003(X6),X6)|relation(X6))&(skolem0003(X6)!=ordered_pair(X8,X9)|relation(X6))))))))),inference(distribute,status(thm),[c15])).
% 181.90/182.13 cnf(c19,axiom,skolem0003(X151)!=ordered_pair(X150,X149)|relation(X151),inference(split_conjunct,status(thm),[c16])).
% 181.90/182.13 cnf(symmetry,axiom,X73!=X72|X72=X73,eq_axiom).
% 181.90/182.13 cnf(c18,axiom,in(skolem0003(X145),X145)|relation(X145),inference(split_conjunct,status(thm),[c16])).
% 181.90/182.13 cnf(c35,negated_conjecture,~in(X178,skolem0007)|ordered_pair(skolem0008(X178),skolem0009(X178))=X178,inference(split_conjunct,status(thm),[c34])).
% 181.90/182.13 cnf(c299,plain,ordered_pair(skolem0008(skolem0003(skolem0007)),skolem0009(skolem0003(skolem0007)))=skolem0003(skolem0007)|relation(skolem0007),inference(resolution,status(thm),[c35, c18])).
% 181.90/182.13 cnf(c2122,plain,relation(skolem0007)|skolem0003(skolem0007)=ordered_pair(skolem0008(skolem0003(skolem0007)),skolem0009(skolem0003(skolem0007))),inference(resolution,status(thm),[c299, symmetry])).
% 181.90/182.13 cnf(c141362,plain,relation(skolem0007),inference(resolution,status(thm),[c2122, c19])).
% 181.90/182.13 cnf(c141426,plain,$false,inference(resolution,status(thm),[c141362, c83844])).
% 181.90/182.13 # SZS output end CNFRefutation
% 181.90/182.13
% 181.90/182.13 # Initial clauses : 64
% 181.90/182.13 # Processed clauses : 2784
% 181.90/182.13 # Factors computed : 1
% 181.90/182.13 # Resolvents computed: 141288
% 181.90/182.13 # Tautologies deleted: 33
% 181.90/182.13 # Forward subsumed : 5212
% 181.90/182.13 # Backward subsumed : 241
% 181.90/182.13 # -------- CPU Time ---------
% 181.90/182.13 # User time : 181.445 s
% 181.90/182.13 # System time : 0.302 s
% 181.90/182.13 # Total time : 181.747 s
%------------------------------------------------------------------------------