TSTP Solution File: SET884+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET884+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 04:41:05 EDT 2022
% Result : Theorem 0.55s 0.71s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET884+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 06:42:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.55/0.71 # Version: 1.3
% 0.55/0.71 # SZS status Theorem
% 0.55/0.71 # SZS output start CNFRefutation
% 0.55/0.71 fof(t25_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(~((subset(singleton(A),unordered_pair(B,C))&A!=B)&A!=C))))),input).
% 0.55/0.71 fof(c5,negated_conjecture,(~(![A]:(![B]:(![C]:(~((subset(singleton(A),unordered_pair(B,C))&A!=B)&A!=C)))))),inference(assume_negation,status(cth),[t25_zfmisc_1])).
% 0.55/0.71 fof(c6,negated_conjecture,(?[A]:(?[B]:(?[C]:((subset(singleton(A),unordered_pair(B,C))&A!=B)&A!=C)))),inference(fof_nnf,status(thm),[c5])).
% 0.55/0.71 fof(c7,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((subset(singleton(X2),unordered_pair(X3,X4))&X2!=X3)&X2!=X4)))),inference(variable_rename,status(thm),[c6])).
% 0.55/0.71 fof(c8,negated_conjecture,((subset(singleton(skolem0001),unordered_pair(skolem0002,skolem0003))&skolem0001!=skolem0002)&skolem0001!=skolem0003),inference(skolemize,status(esa),[c7])).
% 0.55/0.71 cnf(c11,negated_conjecture,skolem0001!=skolem0003,inference(split_conjunct,status(thm),[c8])).
% 0.55/0.71 cnf(c10,negated_conjecture,skolem0001!=skolem0002,inference(split_conjunct,status(thm),[c8])).
% 0.55/0.71 fof(commutativity_k2_tarski,axiom,(![A]:(![B]:unordered_pair(A,B)=unordered_pair(B,A))),input).
% 0.55/0.71 fof(c53,axiom,(![X30]:(![X31]:unordered_pair(X30,X31)=unordered_pair(X31,X30))),inference(variable_rename,status(thm),[commutativity_k2_tarski])).
% 0.55/0.71 cnf(c54,axiom,unordered_pair(X49,X50)=unordered_pair(X50,X49),inference(split_conjunct,status(thm),[c53])).
% 0.55/0.71 cnf(reflexivity,axiom,X34=X34,eq_axiom).
% 0.55/0.71 fof(reflexivity_r1_tarski,axiom,(![A]:(![B]:subset(A,A))),input).
% 0.55/0.71 fof(c12,axiom,(![A]:subset(A,A)),inference(fof_simplification,status(thm),[reflexivity_r1_tarski])).
% 0.55/0.71 fof(c13,axiom,(![X5]:subset(X5,X5)),inference(variable_rename,status(thm),[c12])).
% 0.55/0.71 cnf(c14,axiom,subset(X35,X35),inference(split_conjunct,status(thm),[c13])).
% 0.55/0.71 cnf(c3,plain,X87!=X84|X85!=X86|~subset(X87,X85)|subset(X84,X86),eq_axiom).
% 0.55/0.71 cnf(c76,plain,X102!=X100|X102!=X101|subset(X100,X101),inference(resolution,status(thm),[c3, c14])).
% 0.55/0.71 cnf(c94,plain,X104!=X103|subset(X103,X104),inference(resolution,status(thm),[c76, reflexivity])).
% 0.55/0.71 cnf(c95,plain,subset(unordered_pair(X111,X110),unordered_pair(X110,X111)),inference(resolution,status(thm),[c94, c54])).
% 0.55/0.71 fof(d3_tarski,axiom,(![A]:(![B]:(subset(A,B)<=>(![C]:(in(C,A)=>in(C,B)))))),input).
% 0.55/0.71 fof(c22,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])).
% 0.55/0.71 fof(c23,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),[c22])).
% 0.55/0.71 fof(c24,axiom,((![X8]:(![X9]:(~subset(X8,X9)|(![X10]:(~in(X10,X8)|in(X10,X9))))))&(![X11]:(![X12]:((?[X13]:(in(X13,X11)&~in(X13,X12)))|subset(X11,X12))))),inference(variable_rename,status(thm),[c23])).
% 0.55/0.71 fof(c26,axiom,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:((~subset(X8,X9)|(~in(X10,X8)|in(X10,X9)))&((in(skolem0006(X11,X12),X11)&~in(skolem0006(X11,X12),X12))|subset(X11,X12)))))))),inference(shift_quantors,status(thm),[fof(c25,axiom,((![X8]:(![X9]:(~subset(X8,X9)|(![X10]:(~in(X10,X8)|in(X10,X9))))))&(![X11]:(![X12]:((in(skolem0006(X11,X12),X11)&~in(skolem0006(X11,X12),X12))|subset(X11,X12))))),inference(skolemize,status(esa),[c24])).])).
% 0.55/0.71 fof(c27,axiom,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:((~subset(X8,X9)|(~in(X10,X8)|in(X10,X9)))&((in(skolem0006(X11,X12),X11)|subset(X11,X12))&(~in(skolem0006(X11,X12),X12)|subset(X11,X12))))))))),inference(distribute,status(thm),[c26])).
% 0.55/0.71 cnf(c28,axiom,~subset(X71,X73)|~in(X72,X71)|in(X72,X73),inference(split_conjunct,status(thm),[c27])).
% 0.55/0.71 cnf(c9,negated_conjecture,subset(singleton(skolem0001),unordered_pair(skolem0002,skolem0003)),inference(split_conjunct,status(thm),[c8])).
% 0.55/0.71 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),input).
% 0.55/0.71 fof(c43,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])).
% 0.55/0.71 fof(c44,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),[c43])).
% 0.55/0.71 fof(c45,axiom,((![X23]:(![X24]:(X24!=singleton(X23)|((![X25]:(~in(X25,X24)|X25=X23))&(![X26]:(X26!=X23|in(X26,X24)))))))&(![X27]:(![X28]:((?[X29]:((~in(X29,X28)|X29!=X27)&(in(X29,X28)|X29=X27)))|X28=singleton(X27))))),inference(variable_rename,status(thm),[c44])).
% 0.55/0.71 fof(c47,axiom,(![X23]:(![X24]:(![X25]:(![X26]:(![X27]:(![X28]:((X24!=singleton(X23)|((~in(X25,X24)|X25=X23)&(X26!=X23|in(X26,X24))))&(((~in(skolem0008(X27,X28),X28)|skolem0008(X27,X28)!=X27)&(in(skolem0008(X27,X28),X28)|skolem0008(X27,X28)=X27))|X28=singleton(X27))))))))),inference(shift_quantors,status(thm),[fof(c46,axiom,((![X23]:(![X24]:(X24!=singleton(X23)|((![X25]:(~in(X25,X24)|X25=X23))&(![X26]:(X26!=X23|in(X26,X24)))))))&(![X27]:(![X28]:(((~in(skolem0008(X27,X28),X28)|skolem0008(X27,X28)!=X27)&(in(skolem0008(X27,X28),X28)|skolem0008(X27,X28)=X27))|X28=singleton(X27))))),inference(skolemize,status(esa),[c45])).])).
% 0.55/0.71 fof(c48,axiom,(![X23]:(![X24]:(![X25]:(![X26]:(![X27]:(![X28]:(((X24!=singleton(X23)|(~in(X25,X24)|X25=X23))&(X24!=singleton(X23)|(X26!=X23|in(X26,X24))))&(((~in(skolem0008(X27,X28),X28)|skolem0008(X27,X28)!=X27)|X28=singleton(X27))&((in(skolem0008(X27,X28),X28)|skolem0008(X27,X28)=X27)|X28=singleton(X27)))))))))),inference(distribute,status(thm),[c47])).
% 0.55/0.71 cnf(c50,axiom,X82!=singleton(X81)|X83!=X81|in(X83,X82),inference(split_conjunct,status(thm),[c48])).
% 0.55/0.71 cnf(c75,plain,X88!=X89|in(X88,singleton(X89)),inference(resolution,status(thm),[c50, reflexivity])).
% 0.55/0.71 cnf(c80,plain,in(X90,singleton(X90)),inference(resolution,status(thm),[c75, reflexivity])).
% 0.55/0.71 cnf(c83,plain,~subset(singleton(X93),X94)|in(X93,X94),inference(resolution,status(thm),[c80, c28])).
% 0.55/0.71 cnf(c86,plain,in(skolem0001,unordered_pair(skolem0002,skolem0003)),inference(resolution,status(thm),[c83, c9])).
% 0.55/0.71 cnf(c92,plain,~subset(unordered_pair(skolem0002,skolem0003),X203)|in(skolem0001,X203),inference(resolution,status(thm),[c86, c28])).
% 0.55/0.71 cnf(c257,plain,in(skolem0001,unordered_pair(skolem0003,skolem0002)),inference(resolution,status(thm),[c92, c95])).
% 0.55/0.71 fof(d2_tarski,axiom,(![A]:(![B]:(![C]:(C=unordered_pair(A,B)<=>(![D]:(in(D,C)<=>(D=A|D=B))))))),input).
% 0.55/0.71 fof(c31,axiom,(![A]:(![B]:(![C]:((C!=unordered_pair(A,B)|(![D]:((~in(D,C)|(D=A|D=B))&((D!=A&D!=B)|in(D,C)))))&((?[D]:((~in(D,C)|(D!=A&D!=B))&(in(D,C)|(D=A|D=B))))|C=unordered_pair(A,B)))))),inference(fof_nnf,status(thm),[d2_tarski])).
% 0.55/0.71 fof(c32,axiom,((![A]:(![B]:(![C]:(C!=unordered_pair(A,B)|((![D]:(~in(D,C)|(D=A|D=B)))&(![D]:((D!=A&D!=B)|in(D,C))))))))&(![A]:(![B]:(![C]:((?[D]:((~in(D,C)|(D!=A&D!=B))&(in(D,C)|(D=A|D=B))))|C=unordered_pair(A,B)))))),inference(shift_quantors,status(thm),[c31])).
% 0.55/0.71 fof(c33,axiom,((![X14]:(![X15]:(![X16]:(X16!=unordered_pair(X14,X15)|((![X17]:(~in(X17,X16)|(X17=X14|X17=X15)))&(![X18]:((X18!=X14&X18!=X15)|in(X18,X16))))))))&(![X19]:(![X20]:(![X21]:((?[X22]:((~in(X22,X21)|(X22!=X19&X22!=X20))&(in(X22,X21)|(X22=X19|X22=X20))))|X21=unordered_pair(X19,X20)))))),inference(variable_rename,status(thm),[c32])).
% 0.55/0.71 fof(c35,axiom,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:((X16!=unordered_pair(X14,X15)|((~in(X17,X16)|(X17=X14|X17=X15))&((X18!=X14&X18!=X15)|in(X18,X16))))&(((~in(skolem0007(X19,X20,X21),X21)|(skolem0007(X19,X20,X21)!=X19&skolem0007(X19,X20,X21)!=X20))&(in(skolem0007(X19,X20,X21),X21)|(skolem0007(X19,X20,X21)=X19|skolem0007(X19,X20,X21)=X20)))|X21=unordered_pair(X19,X20))))))))))),inference(shift_quantors,status(thm),[fof(c34,axiom,((![X14]:(![X15]:(![X16]:(X16!=unordered_pair(X14,X15)|((![X17]:(~in(X17,X16)|(X17=X14|X17=X15)))&(![X18]:((X18!=X14&X18!=X15)|in(X18,X16))))))))&(![X19]:(![X20]:(![X21]:(((~in(skolem0007(X19,X20,X21),X21)|(skolem0007(X19,X20,X21)!=X19&skolem0007(X19,X20,X21)!=X20))&(in(skolem0007(X19,X20,X21),X21)|(skolem0007(X19,X20,X21)=X19|skolem0007(X19,X20,X21)=X20)))|X21=unordered_pair(X19,X20)))))),inference(skolemize,status(esa),[c33])).])).
% 0.55/0.71 fof(c36,axiom,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:(((X16!=unordered_pair(X14,X15)|(~in(X17,X16)|(X17=X14|X17=X15)))&((X16!=unordered_pair(X14,X15)|(X18!=X14|in(X18,X16)))&(X16!=unordered_pair(X14,X15)|(X18!=X15|in(X18,X16)))))&((((~in(skolem0007(X19,X20,X21),X21)|skolem0007(X19,X20,X21)!=X19)|X21=unordered_pair(X19,X20))&((~in(skolem0007(X19,X20,X21),X21)|skolem0007(X19,X20,X21)!=X20)|X21=unordered_pair(X19,X20)))&((in(skolem0007(X19,X20,X21),X21)|(skolem0007(X19,X20,X21)=X19|skolem0007(X19,X20,X21)=X20))|X21=unordered_pair(X19,X20)))))))))))),inference(distribute,status(thm),[c35])).
% 0.55/0.71 cnf(c37,axiom,X96!=unordered_pair(X98,X95)|~in(X97,X96)|X97=X98|X97=X95,inference(split_conjunct,status(thm),[c36])).
% 0.55/0.71 cnf(c88,plain,~in(X268,unordered_pair(X266,X267))|X268=X267|X268=X266,inference(resolution,status(thm),[c37, c54])).
% 0.55/0.71 cnf(c549,plain,skolem0001=skolem0002|skolem0001=skolem0003,inference(resolution,status(thm),[c88, c257])).
% 0.55/0.71 cnf(c565,plain,skolem0001=skolem0003,inference(resolution,status(thm),[c549, c10])).
% 0.55/0.71 cnf(c589,plain,$false,inference(resolution,status(thm),[c565, c11])).
% 0.55/0.71 # SZS output end CNFRefutation
% 0.55/0.71
% 0.55/0.71 # Initial clauses : 29
% 0.55/0.71 # Processed clauses : 88
% 0.55/0.71 # Factors computed : 1
% 0.55/0.71 # Resolvents computed: 542
% 0.55/0.71 # Tautologies deleted: 2
% 0.55/0.71 # Forward subsumed : 34
% 0.55/0.71 # Backward subsumed : 1
% 0.55/0.71 # -------- CPU Time ---------
% 0.55/0.71 # User time : 0.362 s
% 0.55/0.71 # System time : 0.006 s
% 0.55/0.71 # Total time : 0.368 s
%------------------------------------------------------------------------------