TSTP Solution File: SET909+1 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET909+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 : 300s
% DateTime : Thu May 9 17:40:20 EDT 2024
% Result : Theorem 0.50s 0.67s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET909+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 19:04:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.50/0.67 % Version: 1.5
% 0.50/0.67 % SZS status Theorem
% 0.50/0.67 % SZS output start CNFRefutation
% 0.50/0.67 fof(t50_zfmisc_1,conjecture,(![A]:(![B]:(![C]:set_union2(unordered_pair(A,B),C)!=empty_set))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t50_zfmisc_1)).
% 0.50/0.67 fof(c4,negated_conjecture,(~(![A]:(![B]:(![C]:set_union2(unordered_pair(A,B),C)!=empty_set)))),inference(assume_negation,[status(cth)],[t50_zfmisc_1])).
% 0.50/0.67 fof(c5,negated_conjecture,(?[A]:(?[B]:(?[C]:set_union2(unordered_pair(A,B),C)=empty_set))),inference(fof_nnf,[status(thm)],[c4])).
% 0.50/0.67 fof(c6,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:set_union2(unordered_pair(X2,X3),X4)=empty_set))),inference(variable_rename,[status(thm)],[c5])).
% 0.50/0.67 fof(c7,negated_conjecture,set_union2(unordered_pair(skolem0001,skolem0002),skolem0003)=empty_set,inference(skolemize,[status(esa)],[c6])).
% 0.50/0.67 cnf(c8,negated_conjecture,set_union2(unordered_pair(skolem0001,skolem0002),skolem0003)=empty_set,inference(split_conjunct,[status(thm)],[c7])).
% 0.50/0.67 fof(d1_xboole_0,axiom,(![A]:(A=empty_set<=>(![B]:(~in(B,A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_xboole_0)).
% 0.50/0.67 fof(c56,plain,(![A]:(A=empty_set<=>(![B]:~in(B,A)))),inference(fof_simplification,[status(thm)],[d1_xboole_0])).
% 0.50/0.67 fof(c57,plain,(![A]:((A!=empty_set|(![B]:~in(B,A)))&((?[B]:in(B,A))|A=empty_set))),inference(fof_nnf,[status(thm)],[c56])).
% 0.50/0.67 fof(c58,plain,((![A]:(A!=empty_set|(![B]:~in(B,A))))&(![A]:((?[B]:in(B,A))|A=empty_set))),inference(shift_quantors,[status(thm)],[c57])).
% 0.50/0.67 fof(c59,plain,((![X30]:(X30!=empty_set|(![X31]:~in(X31,X30))))&(![X32]:((?[X33]:in(X33,X32))|X32=empty_set))),inference(variable_rename,[status(thm)],[c58])).
% 0.50/0.67 fof(c61,plain,(![X30]:(![X31]:(![X32]:((X30!=empty_set|~in(X31,X30))&(in(skolem0008(X32),X32)|X32=empty_set))))),inference(shift_quantors,[status(thm)],[fof(c60,plain,((![X30]:(X30!=empty_set|(![X31]:~in(X31,X30))))&(![X32]:(in(skolem0008(X32),X32)|X32=empty_set))),inference(skolemize,[status(esa)],[c59])).])).
% 0.50/0.67 cnf(c62,plain,X60!=empty_set|~in(X61,X60),inference(split_conjunct,[status(thm)],[c61])).
% 0.50/0.67 cnf(reflexivity,axiom,X40=X40,theory(equality)).
% 0.50/0.67 fof(d2_xboole_0,axiom,(![A]:(![B]:(![C]:(C=set_union2(A,B)<=>(![D]:(in(D,C)<=>(in(D,A)|in(D,B)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_xboole_0)).
% 0.50/0.67 fof(c32,plain,(![A]:(![B]:(![C]:((C!=set_union2(A,B)|(![D]:((~in(D,C)|(in(D,A)|in(D,B)))&((~in(D,A)&~in(D,B))|in(D,C)))))&((?[D]:((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))|C=set_union2(A,B)))))),inference(fof_nnf,[status(thm)],[d2_xboole_0])).
% 0.50/0.67 fof(c33,plain,((![A]:(![B]:(![C]:(C!=set_union2(A,B)|((![D]:(~in(D,C)|(in(D,A)|in(D,B))))&(![D]:((~in(D,A)&~in(D,B))|in(D,C))))))))&(![A]:(![B]:(![C]:((?[D]:((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))|C=set_union2(A,B)))))),inference(shift_quantors,[status(thm)],[c32])).
% 0.50/0.67 fof(c34,plain,((![X12]:(![X13]:(![X14]:(X14!=set_union2(X12,X13)|((![X15]:(~in(X15,X14)|(in(X15,X12)|in(X15,X13))))&(![X16]:((~in(X16,X12)&~in(X16,X13))|in(X16,X14))))))))&(![X17]:(![X18]:(![X19]:((?[X20]:((~in(X20,X19)|(~in(X20,X17)&~in(X20,X18)))&(in(X20,X19)|(in(X20,X17)|in(X20,X18)))))|X19=set_union2(X17,X18)))))),inference(variable_rename,[status(thm)],[c33])).
% 0.50/0.67 fof(c36,plain,(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:((X14!=set_union2(X12,X13)|((~in(X15,X14)|(in(X15,X12)|in(X15,X13)))&((~in(X16,X12)&~in(X16,X13))|in(X16,X14))))&(((~in(skolem0006(X17,X18,X19),X19)|(~in(skolem0006(X17,X18,X19),X17)&~in(skolem0006(X17,X18,X19),X18)))&(in(skolem0006(X17,X18,X19),X19)|(in(skolem0006(X17,X18,X19),X17)|in(skolem0006(X17,X18,X19),X18))))|X19=set_union2(X17,X18))))))))))),inference(shift_quantors,[status(thm)],[fof(c35,plain,((![X12]:(![X13]:(![X14]:(X14!=set_union2(X12,X13)|((![X15]:(~in(X15,X14)|(in(X15,X12)|in(X15,X13))))&(![X16]:((~in(X16,X12)&~in(X16,X13))|in(X16,X14))))))))&(![X17]:(![X18]:(![X19]:(((~in(skolem0006(X17,X18,X19),X19)|(~in(skolem0006(X17,X18,X19),X17)&~in(skolem0006(X17,X18,X19),X18)))&(in(skolem0006(X17,X18,X19),X19)|(in(skolem0006(X17,X18,X19),X17)|in(skolem0006(X17,X18,X19),X18))))|X19=set_union2(X17,X18)))))),inference(skolemize,[status(esa)],[c34])).])).
% 0.50/0.67 fof(c37,plain,(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(((X14!=set_union2(X12,X13)|(~in(X15,X14)|(in(X15,X12)|in(X15,X13))))&((X14!=set_union2(X12,X13)|(~in(X16,X12)|in(X16,X14)))&(X14!=set_union2(X12,X13)|(~in(X16,X13)|in(X16,X14)))))&((((~in(skolem0006(X17,X18,X19),X19)|~in(skolem0006(X17,X18,X19),X17))|X19=set_union2(X17,X18))&((~in(skolem0006(X17,X18,X19),X19)|~in(skolem0006(X17,X18,X19),X18))|X19=set_union2(X17,X18)))&((in(skolem0006(X17,X18,X19),X19)|(in(skolem0006(X17,X18,X19),X17)|in(skolem0006(X17,X18,X19),X18)))|X19=set_union2(X17,X18)))))))))))),inference(distribute,[status(thm)],[c36])).
% 0.50/0.67 cnf(c39,plain,X108!=set_union2(X106,X107)|~in(X105,X106)|in(X105,X108),inference(split_conjunct,[status(thm)],[c37])).
% 0.50/0.67 cnf(c137,plain,~in(X114,X113)|in(X114,set_union2(X113,X115)),inference(resolution,[status(thm)],[c39, reflexivity])).
% 0.50/0.67 fof(d2_tarski,axiom,(![A]:(![B]:(![C]:(C=unordered_pair(A,B)<=>(![D]:(in(D,C)<=>(D=A|D=B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_tarski)).
% 0.50/0.67 fof(c44,plain,(![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])).
% 0.50/0.67 fof(c45,plain,((![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)],[c44])).
% 0.50/0.67 fof(c46,plain,((![X21]:(![X22]:(![X23]:(X23!=unordered_pair(X21,X22)|((![X24]:(~in(X24,X23)|(X24=X21|X24=X22)))&(![X25]:((X25!=X21&X25!=X22)|in(X25,X23))))))))&(![X26]:(![X27]:(![X28]:((?[X29]:((~in(X29,X28)|(X29!=X26&X29!=X27))&(in(X29,X28)|(X29=X26|X29=X27))))|X28=unordered_pair(X26,X27)))))),inference(variable_rename,[status(thm)],[c45])).
% 0.50/0.67 fof(c48,plain,(![X21]:(![X22]:(![X23]:(![X24]:(![X25]:(![X26]:(![X27]:(![X28]:((X23!=unordered_pair(X21,X22)|((~in(X24,X23)|(X24=X21|X24=X22))&((X25!=X21&X25!=X22)|in(X25,X23))))&(((~in(skolem0007(X26,X27,X28),X28)|(skolem0007(X26,X27,X28)!=X26&skolem0007(X26,X27,X28)!=X27))&(in(skolem0007(X26,X27,X28),X28)|(skolem0007(X26,X27,X28)=X26|skolem0007(X26,X27,X28)=X27)))|X28=unordered_pair(X26,X27))))))))))),inference(shift_quantors,[status(thm)],[fof(c47,plain,((![X21]:(![X22]:(![X23]:(X23!=unordered_pair(X21,X22)|((![X24]:(~in(X24,X23)|(X24=X21|X24=X22)))&(![X25]:((X25!=X21&X25!=X22)|in(X25,X23))))))))&(![X26]:(![X27]:(![X28]:(((~in(skolem0007(X26,X27,X28),X28)|(skolem0007(X26,X27,X28)!=X26&skolem0007(X26,X27,X28)!=X27))&(in(skolem0007(X26,X27,X28),X28)|(skolem0007(X26,X27,X28)=X26|skolem0007(X26,X27,X28)=X27)))|X28=unordered_pair(X26,X27)))))),inference(skolemize,[status(esa)],[c46])).])).
% 0.50/0.67 fof(c49,plain,(![X21]:(![X22]:(![X23]:(![X24]:(![X25]:(![X26]:(![X27]:(![X28]:(((X23!=unordered_pair(X21,X22)|(~in(X24,X23)|(X24=X21|X24=X22)))&((X23!=unordered_pair(X21,X22)|(X25!=X21|in(X25,X23)))&(X23!=unordered_pair(X21,X22)|(X25!=X22|in(X25,X23)))))&((((~in(skolem0007(X26,X27,X28),X28)|skolem0007(X26,X27,X28)!=X26)|X28=unordered_pair(X26,X27))&((~in(skolem0007(X26,X27,X28),X28)|skolem0007(X26,X27,X28)!=X27)|X28=unordered_pair(X26,X27)))&((in(skolem0007(X26,X27,X28),X28)|(skolem0007(X26,X27,X28)=X26|skolem0007(X26,X27,X28)=X27))|X28=unordered_pair(X26,X27)))))))))))),inference(distribute,[status(thm)],[c48])).
% 0.50/0.67 cnf(c51,plain,X164!=unordered_pair(X166,X163)|X165!=X166|in(X165,X164),inference(split_conjunct,[status(thm)],[c49])).
% 0.50/0.67 cnf(c256,plain,X178!=X177|in(X178,unordered_pair(X177,X179)),inference(resolution,[status(thm)],[c51, reflexivity])).
% 0.50/0.67 cnf(c281,plain,in(X180,unordered_pair(X180,X181)),inference(resolution,[status(thm)],[c256, reflexivity])).
% 0.50/0.67 cnf(c291,plain,in(X199,set_union2(unordered_pair(X199,X200),X198)),inference(resolution,[status(thm)],[c281, c137])).
% 0.50/0.67 cnf(c310,plain,set_union2(unordered_pair(X282,X281),X280)!=empty_set,inference(resolution,[status(thm)],[c291, c62])).
% 0.50/0.67 cnf(c477,plain,$false,inference(resolution,[status(thm)],[c310, c8])).
% 0.50/0.67 % SZS output end CNFRefutation
% 0.50/0.67
% 0.50/0.67 % Initial clauses : 31
% 0.50/0.67 % Processed clauses : 90
% 0.50/0.67 % Factors computed : 10
% 0.50/0.67 % Resolvents computed: 396
% 0.50/0.67 % Tautologies deleted: 7
% 0.50/0.67 % Forward subsumed : 44
% 0.50/0.67 % Backward subsumed : 1
% 0.50/0.67 % -------- CPU Time ---------
% 0.50/0.67 % User time : 0.304 s
% 0.50/0.67 % System time : 0.011 s
% 0.50/0.67 % Total time : 0.315 s
%------------------------------------------------------------------------------