TSTP Solution File: SET975+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET975+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 04:41:41 EDT 2022
% Result : Theorem 1.38s 1.59s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET975+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 13:11:11 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.38/1.59 # Version: 1.3
% 1.38/1.59 # SZS status Theorem
% 1.38/1.59 # SZS output start CNFRefutation
% 1.38/1.59 cnf(reflexivity,axiom,X31=X31,eq_axiom).
% 1.38/1.59 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),input).
% 1.38/1.59 fof(c34,axiom,(![A]:(![B]:((B!=singleton(A)|(![C]:((~in(C,B)|C=A)&(C!=A|in(C,B)))))&((?[C]:((~in(C,B)|C!=A)&(in(C,B)|C=A)))|B=singleton(A))))),inference(fof_nnf,status(thm),[d1_tarski])).
% 1.38/1.59 fof(c35,axiom,((![A]:(![B]:(B!=singleton(A)|((![C]:(~in(C,B)|C=A))&(![C]:(C!=A|in(C,B)))))))&(![A]:(![B]:((?[C]:((~in(C,B)|C!=A)&(in(C,B)|C=A)))|B=singleton(A))))),inference(shift_quantors,status(thm),[c34])).
% 1.38/1.59 fof(c36,axiom,((![X20]:(![X21]:(X21!=singleton(X20)|((![X22]:(~in(X22,X21)|X22=X20))&(![X23]:(X23!=X20|in(X23,X21)))))))&(![X24]:(![X25]:((?[X26]:((~in(X26,X25)|X26!=X24)&(in(X26,X25)|X26=X24)))|X25=singleton(X24))))),inference(variable_rename,status(thm),[c35])).
% 1.38/1.59 fof(c38,axiom,(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:(![X25]:((X21!=singleton(X20)|((~in(X22,X21)|X22=X20)&(X23!=X20|in(X23,X21))))&(((~in(skolem0007(X24,X25),X25)|skolem0007(X24,X25)!=X24)&(in(skolem0007(X24,X25),X25)|skolem0007(X24,X25)=X24))|X25=singleton(X24))))))))),inference(shift_quantors,status(thm),[fof(c37,axiom,((![X20]:(![X21]:(X21!=singleton(X20)|((![X22]:(~in(X22,X21)|X22=X20))&(![X23]:(X23!=X20|in(X23,X21)))))))&(![X24]:(![X25]:(((~in(skolem0007(X24,X25),X25)|skolem0007(X24,X25)!=X24)&(in(skolem0007(X24,X25),X25)|skolem0007(X24,X25)=X24))|X25=singleton(X24))))),inference(skolemize,status(esa),[c36])).])).
% 1.38/1.59 fof(c39,axiom,(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:(![X25]:(((X21!=singleton(X20)|(~in(X22,X21)|X22=X20))&(X21!=singleton(X20)|(X23!=X20|in(X23,X21))))&(((~in(skolem0007(X24,X25),X25)|skolem0007(X24,X25)!=X24)|X25=singleton(X24))&((in(skolem0007(X24,X25),X25)|skolem0007(X24,X25)=X24)|X25=singleton(X24)))))))))),inference(distribute,status(thm),[c38])).
% 1.38/1.59 cnf(c40,axiom,X74!=singleton(X73)|~in(X72,X74)|X72=X73,inference(split_conjunct,status(thm),[c39])).
% 1.38/1.59 cnf(c62,plain,~in(X75,singleton(X76))|X75=X76,inference(resolution,status(thm),[c40, reflexivity])).
% 1.38/1.59 fof(l55_zfmisc_1,axiom,(![A]:(![B]:(![C]:(![D]:(in(ordered_pair(A,B),cartesian_product2(C,D))<=>(in(A,C)&in(B,D))))))),input).
% 1.38/1.59 fof(c21,axiom,(![A]:(![B]:(![C]:(![D]:((~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D)))&((~in(A,C)|~in(B,D))|in(ordered_pair(A,B),cartesian_product2(C,D)))))))),inference(fof_nnf,status(thm),[l55_zfmisc_1])).
% 1.38/1.59 fof(c22,axiom,((![A]:(![B]:(![C]:(![D]:(~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D)))))))&(![A]:(![B]:(![C]:(![D]:((~in(A,C)|~in(B,D))|in(ordered_pair(A,B),cartesian_product2(C,D)))))))),inference(shift_quantors,status(thm),[c21])).
% 1.38/1.59 fof(c24,axiom,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:((~in(ordered_pair(X8,X9),cartesian_product2(X10,X11))|(in(X8,X10)&in(X9,X11)))&((~in(X12,X14)|~in(X13,X15))|in(ordered_pair(X12,X13),cartesian_product2(X14,X15)))))))))))),inference(shift_quantors,status(thm),[fof(c23,axiom,((![X8]:(![X9]:(![X10]:(![X11]:(~in(ordered_pair(X8,X9),cartesian_product2(X10,X11))|(in(X8,X10)&in(X9,X11)))))))&(![X12]:(![X13]:(![X14]:(![X15]:((~in(X12,X14)|~in(X13,X15))|in(ordered_pair(X12,X13),cartesian_product2(X14,X15)))))))),inference(variable_rename,status(thm),[c22])).])).
% 1.38/1.59 fof(c25,axiom,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(((~in(ordered_pair(X8,X9),cartesian_product2(X10,X11))|in(X8,X10))&(~in(ordered_pair(X8,X9),cartesian_product2(X10,X11))|in(X9,X11)))&((~in(X12,X14)|~in(X13,X15))|in(ordered_pair(X12,X13),cartesian_product2(X14,X15)))))))))))),inference(distribute,status(thm),[c24])).
% 1.38/1.59 cnf(c26,axiom,~in(ordered_pair(X65,X64),cartesian_product2(X67,X66))|in(X65,X67),inference(split_conjunct,status(thm),[c25])).
% 1.38/1.59 fof(t128_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(![D]:(in(ordered_pair(A,B),cartesian_product2(singleton(C),D))<=>(A=C&in(B,D))))))),input).
% 1.38/1.59 fof(c6,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:(in(ordered_pair(A,B),cartesian_product2(singleton(C),D))<=>(A=C&in(B,D)))))))),inference(assume_negation,status(cth),[t128_zfmisc_1])).
% 1.38/1.59 fof(c7,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:((~in(ordered_pair(A,B),cartesian_product2(singleton(C),D))|(A!=C|~in(B,D)))&(in(ordered_pair(A,B),cartesian_product2(singleton(C),D))|(A=C&in(B,D)))))))),inference(fof_nnf,status(thm),[c6])).
% 1.38/1.59 fof(c8,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:((~in(ordered_pair(X2,X3),cartesian_product2(singleton(X4),X5))|(X2!=X4|~in(X3,X5)))&(in(ordered_pair(X2,X3),cartesian_product2(singleton(X4),X5))|(X2=X4&in(X3,X5)))))))),inference(variable_rename,status(thm),[c7])).
% 1.38/1.59 fof(c9,negated_conjecture,((~in(ordered_pair(skolem0001,skolem0002),cartesian_product2(singleton(skolem0003),skolem0004))|(skolem0001!=skolem0003|~in(skolem0002,skolem0004)))&(in(ordered_pair(skolem0001,skolem0002),cartesian_product2(singleton(skolem0003),skolem0004))|(skolem0001=skolem0003&in(skolem0002,skolem0004)))),inference(skolemize,status(esa),[c8])).
% 1.38/1.59 fof(c10,negated_conjecture,((~in(ordered_pair(skolem0001,skolem0002),cartesian_product2(singleton(skolem0003),skolem0004))|(skolem0001!=skolem0003|~in(skolem0002,skolem0004)))&((in(ordered_pair(skolem0001,skolem0002),cartesian_product2(singleton(skolem0003),skolem0004))|skolem0001=skolem0003)&(in(ordered_pair(skolem0001,skolem0002),cartesian_product2(singleton(skolem0003),skolem0004))|in(skolem0002,skolem0004)))),inference(distribute,status(thm),[c9])).
% 1.38/1.59 cnf(c12,negated_conjecture,in(ordered_pair(skolem0001,skolem0002),cartesian_product2(singleton(skolem0003),skolem0004))|skolem0001=skolem0003,inference(split_conjunct,status(thm),[c10])).
% 1.38/1.59 cnf(c94,plain,skolem0001=skolem0003|in(skolem0001,singleton(skolem0003)),inference(resolution,status(thm),[c12, c26])).
% 1.38/1.59 cnf(c167,plain,skolem0001=skolem0003,inference(resolution,status(thm),[c94, c62])).
% 1.38/1.59 cnf(c27,axiom,~in(ordered_pair(X69,X68),cartesian_product2(X71,X70))|in(X68,X70),inference(split_conjunct,status(thm),[c25])).
% 1.38/1.59 cnf(c13,negated_conjecture,in(ordered_pair(skolem0001,skolem0002),cartesian_product2(singleton(skolem0003),skolem0004))|in(skolem0002,skolem0004),inference(split_conjunct,status(thm),[c10])).
% 1.38/1.59 cnf(c132,plain,in(skolem0002,skolem0004),inference(resolution,status(thm),[c13, c27])).
% 1.38/1.59 cnf(c11,negated_conjecture,~in(ordered_pair(skolem0001,skolem0002),cartesian_product2(singleton(skolem0003),skolem0004))|skolem0001!=skolem0003|~in(skolem0002,skolem0004),inference(split_conjunct,status(thm),[c10])).
% 1.38/1.59 cnf(c41,axiom,X79!=singleton(X77)|X78!=X77|in(X78,X79),inference(split_conjunct,status(thm),[c39])).
% 1.38/1.59 cnf(c63,plain,X85!=X84|in(X85,singleton(X84)),inference(resolution,status(thm),[c41, reflexivity])).
% 1.38/1.59 cnf(c154,plain,in(skolem0001,singleton(skolem0003)),inference(resolution,status(thm),[c94, c63])).
% 1.38/1.59 cnf(c28,axiom,~in(X127,X129)|~in(X126,X128)|in(ordered_pair(X127,X126),cartesian_product2(X129,X128)),inference(split_conjunct,status(thm),[c25])).
% 1.38/1.59 cnf(c146,plain,~in(X381,X380)|in(ordered_pair(X381,skolem0002),cartesian_product2(X380,skolem0004)),inference(resolution,status(thm),[c28, c132])).
% 1.38/1.59 cnf(c1028,plain,in(ordered_pair(skolem0001,skolem0002),cartesian_product2(singleton(skolem0003),skolem0004)),inference(resolution,status(thm),[c146, c154])).
% 1.38/1.59 cnf(c3668,plain,skolem0001!=skolem0003|~in(skolem0002,skolem0004),inference(resolution,status(thm),[c1028, c11])).
% 1.38/1.59 cnf(c3743,plain,skolem0001!=skolem0003,inference(resolution,status(thm),[c3668, c132])).
% 1.38/1.59 cnf(c3744,plain,$false,inference(resolution,status(thm),[c3743, c167])).
% 1.38/1.59 # SZS output end CNFRefutation
% 1.38/1.59
% 1.38/1.59 # Initial clauses : 25
% 1.38/1.59 # Processed clauses : 264
% 1.38/1.59 # Factors computed : 2
% 1.38/1.59 # Resolvents computed: 3693
% 1.38/1.59 # Tautologies deleted: 5
% 1.38/1.59 # Forward subsumed : 345
% 1.38/1.59 # Backward subsumed : 12
% 1.38/1.59 # -------- CPU Time ---------
% 1.38/1.59 # User time : 1.211 s
% 1.38/1.59 # System time : 0.021 s
% 1.38/1.59 # Total time : 1.232 s
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