TSTP Solution File: SET918+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET918+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 17:40:22 EDT 2024
% Result : Theorem 2.01s 2.17s
% Output : Refutation 2.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : SET918+1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 19:18:23 EDT 2024
% 0.14/0.37 % CPUTime :
% 2.01/2.17 % Version: 1.5
% 2.01/2.17 % SZS status Theorem
% 2.01/2.17 % SZS output start CNFRefutation
% 2.01/2.17 fof(t59_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(~((set_intersection2(unordered_pair(A,B),C)=singleton(A)&in(B,C))&A!=B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t59_zfmisc_1)).
% 2.01/2.17 fof(c5,negated_conjecture,(~(![A]:(![B]:(![C]:(~((set_intersection2(unordered_pair(A,B),C)=singleton(A)&in(B,C))&A!=B)))))),inference(assume_negation,[status(cth)],[t59_zfmisc_1])).
% 2.01/2.17 fof(c6,negated_conjecture,(?[A]:(?[B]:(?[C]:((set_intersection2(unordered_pair(A,B),C)=singleton(A)&in(B,C))&A!=B)))),inference(fof_nnf,[status(thm)],[c5])).
% 2.01/2.17 fof(c7,negated_conjecture,(?[A]:(?[B]:((?[C]:(set_intersection2(unordered_pair(A,B),C)=singleton(A)&in(B,C)))&A!=B))),inference(shift_quantors,[status(thm)],[c6])).
% 2.01/2.17 fof(c8,negated_conjecture,(?[X2]:(?[X3]:((?[X4]:(set_intersection2(unordered_pair(X2,X3),X4)=singleton(X2)&in(X3,X4)))&X2!=X3))),inference(variable_rename,[status(thm)],[c7])).
% 2.01/2.17 fof(c9,negated_conjecture,((set_intersection2(unordered_pair(skolem0001,skolem0002),skolem0003)=singleton(skolem0001)&in(skolem0002,skolem0003))&skolem0001!=skolem0002),inference(skolemize,[status(esa)],[c8])).
% 2.01/2.17 cnf(c12,negated_conjecture,skolem0001!=skolem0002,inference(split_conjunct,[status(thm)],[c9])).
% 2.01/2.17 cnf(symmetry,axiom,X40!=X41|X41=X40,theory(equality)).
% 2.01/2.17 cnf(c10,negated_conjecture,set_intersection2(unordered_pair(skolem0001,skolem0002),skolem0003)=singleton(skolem0001),inference(split_conjunct,[status(thm)],[c9])).
% 2.01/2.17 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 2.01/2.17 fof(c47,plain,(![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])).
% 2.01/2.17 fof(c48,plain,((![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)],[c47])).
% 2.01/2.17 fof(c49,plain,((![X26]:(![X27]:(X27!=singleton(X26)|((![X28]:(~in(X28,X27)|X28=X26))&(![X29]:(X29!=X26|in(X29,X27)))))))&(![X30]:(![X31]:((?[X32]:((~in(X32,X31)|X32!=X30)&(in(X32,X31)|X32=X30)))|X31=singleton(X30))))),inference(variable_rename,[status(thm)],[c48])).
% 2.01/2.17 fof(c51,plain,(![X26]:(![X27]:(![X28]:(![X29]:(![X30]:(![X31]:((X27!=singleton(X26)|((~in(X28,X27)|X28=X26)&(X29!=X26|in(X29,X27))))&(((~in(skolem0008(X30,X31),X31)|skolem0008(X30,X31)!=X30)&(in(skolem0008(X30,X31),X31)|skolem0008(X30,X31)=X30))|X31=singleton(X30))))))))),inference(shift_quantors,[status(thm)],[fof(c50,plain,((![X26]:(![X27]:(X27!=singleton(X26)|((![X28]:(~in(X28,X27)|X28=X26))&(![X29]:(X29!=X26|in(X29,X27)))))))&(![X30]:(![X31]:(((~in(skolem0008(X30,X31),X31)|skolem0008(X30,X31)!=X30)&(in(skolem0008(X30,X31),X31)|skolem0008(X30,X31)=X30))|X31=singleton(X30))))),inference(skolemize,[status(esa)],[c49])).])).
% 2.01/2.17 fof(c52,plain,(![X26]:(![X27]:(![X28]:(![X29]:(![X30]:(![X31]:(((X27!=singleton(X26)|(~in(X28,X27)|X28=X26))&(X27!=singleton(X26)|(X29!=X26|in(X29,X27))))&(((~in(skolem0008(X30,X31),X31)|skolem0008(X30,X31)!=X30)|X31=singleton(X30))&((in(skolem0008(X30,X31),X31)|skolem0008(X30,X31)=X30)|X31=singleton(X30)))))))))),inference(distribute,[status(thm)],[c51])).
% 2.01/2.17 cnf(c53,plain,X151!=singleton(X149)|~in(X150,X151)|X150=X149,inference(split_conjunct,[status(thm)],[c52])).
% 2.01/2.17 cnf(c205,plain,~in(X1126,set_intersection2(unordered_pair(skolem0001,skolem0002),skolem0003))|X1126=skolem0001,inference(resolution,[status(thm)],[c53, c10])).
% 2.01/2.17 cnf(c11,negated_conjecture,in(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c9])).
% 2.01/2.17 cnf(reflexivity,axiom,X39=X39,theory(equality)).
% 2.01/2.17 fof(commutativity_k2_tarski,axiom,(![A]:(![B]:unordered_pair(A,B)=unordered_pair(B,A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k2_tarski)).
% 2.01/2.17 fof(c59,plain,(![X35]:(![X36]:unordered_pair(X35,X36)=unordered_pair(X36,X35))),inference(variable_rename,[status(thm)],[commutativity_k2_tarski])).
% 2.01/2.17 cnf(c60,plain,unordered_pair(X71,X70)=unordered_pair(X70,X71),inference(split_conjunct,[status(thm)],[c59])).
% 2.01/2.17 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)).
% 2.01/2.17 fof(c35,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])).
% 2.01/2.17 fof(c36,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)],[c35])).
% 2.01/2.17 fof(c37,plain,((![X17]:(![X18]:(![X19]:(X19!=unordered_pair(X17,X18)|((![X20]:(~in(X20,X19)|(X20=X17|X20=X18)))&(![X21]:((X21!=X17&X21!=X18)|in(X21,X19))))))))&(![X22]:(![X23]:(![X24]:((?[X25]:((~in(X25,X24)|(X25!=X22&X25!=X23))&(in(X25,X24)|(X25=X22|X25=X23))))|X24=unordered_pair(X22,X23)))))),inference(variable_rename,[status(thm)],[c36])).
% 2.01/2.17 fof(c39,plain,(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:((X19!=unordered_pair(X17,X18)|((~in(X20,X19)|(X20=X17|X20=X18))&((X21!=X17&X21!=X18)|in(X21,X19))))&(((~in(skolem0007(X22,X23,X24),X24)|(skolem0007(X22,X23,X24)!=X22&skolem0007(X22,X23,X24)!=X23))&(in(skolem0007(X22,X23,X24),X24)|(skolem0007(X22,X23,X24)=X22|skolem0007(X22,X23,X24)=X23)))|X24=unordered_pair(X22,X23))))))))))),inference(shift_quantors,[status(thm)],[fof(c38,plain,((![X17]:(![X18]:(![X19]:(X19!=unordered_pair(X17,X18)|((![X20]:(~in(X20,X19)|(X20=X17|X20=X18)))&(![X21]:((X21!=X17&X21!=X18)|in(X21,X19))))))))&(![X22]:(![X23]:(![X24]:(((~in(skolem0007(X22,X23,X24),X24)|(skolem0007(X22,X23,X24)!=X22&skolem0007(X22,X23,X24)!=X23))&(in(skolem0007(X22,X23,X24),X24)|(skolem0007(X22,X23,X24)=X22|skolem0007(X22,X23,X24)=X23)))|X24=unordered_pair(X22,X23)))))),inference(skolemize,[status(esa)],[c37])).])).
% 2.01/2.17 fof(c40,plain,(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:(((X19!=unordered_pair(X17,X18)|(~in(X20,X19)|(X20=X17|X20=X18)))&((X19!=unordered_pair(X17,X18)|(X21!=X17|in(X21,X19)))&(X19!=unordered_pair(X17,X18)|(X21!=X18|in(X21,X19)))))&((((~in(skolem0007(X22,X23,X24),X24)|skolem0007(X22,X23,X24)!=X22)|X24=unordered_pair(X22,X23))&((~in(skolem0007(X22,X23,X24),X24)|skolem0007(X22,X23,X24)!=X23)|X24=unordered_pair(X22,X23)))&((in(skolem0007(X22,X23,X24),X24)|(skolem0007(X22,X23,X24)=X22|skolem0007(X22,X23,X24)=X23))|X24=unordered_pair(X22,X23)))))))))))),inference(distribute,[status(thm)],[c39])).
% 2.01/2.17 cnf(c42,plain,X179!=unordered_pair(X180,X182)|X181!=X180|in(X181,X179),inference(split_conjunct,[status(thm)],[c40])).
% 2.01/2.17 cnf(c283,plain,X195!=X196|in(X195,unordered_pair(X194,X196)),inference(resolution,[status(thm)],[c42, c60])).
% 2.01/2.17 cnf(c304,plain,in(X197,unordered_pair(X198,X197)),inference(resolution,[status(thm)],[c283, reflexivity])).
% 2.01/2.17 fof(commutativity_k3_xboole_0,axiom,(![A]:(![B]:set_intersection2(A,B)=set_intersection2(B,A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k3_xboole_0)).
% 2.01/2.17 fof(c57,plain,(![X33]:(![X34]:set_intersection2(X33,X34)=set_intersection2(X34,X33))),inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0])).
% 2.01/2.17 cnf(c58,plain,set_intersection2(X69,X68)=set_intersection2(X68,X69),inference(split_conjunct,[status(thm)],[c57])).
% 2.01/2.17 fof(d3_xboole_0,axiom,(![A]:(![B]:(![C]:(C=set_intersection2(A,B)<=>(![D]:(in(D,C)<=>(in(D,A)&in(D,B)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_xboole_0)).
% 2.01/2.17 fof(c23,plain,(![A]:(![B]:(![C]:((C!=set_intersection2(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_intersection2(A,B)))))),inference(fof_nnf,[status(thm)],[d3_xboole_0])).
% 2.01/2.17 fof(c24,plain,((![A]:(![B]:(![C]:(C!=set_intersection2(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_intersection2(A,B)))))),inference(shift_quantors,[status(thm)],[c23])).
% 2.01/2.17 fof(c25,plain,((![X8]:(![X9]:(![X10]:(X10!=set_intersection2(X8,X9)|((![X11]:(~in(X11,X10)|(in(X11,X8)&in(X11,X9))))&(![X12]:((~in(X12,X8)|~in(X12,X9))|in(X12,X10))))))))&(![X13]:(![X14]:(![X15]:((?[X16]:((~in(X16,X15)|(~in(X16,X13)|~in(X16,X14)))&(in(X16,X15)|(in(X16,X13)&in(X16,X14)))))|X15=set_intersection2(X13,X14)))))),inference(variable_rename,[status(thm)],[c24])).
% 2.01/2.17 fof(c27,plain,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:((X10!=set_intersection2(X8,X9)|((~in(X11,X10)|(in(X11,X8)&in(X11,X9)))&((~in(X12,X8)|~in(X12,X9))|in(X12,X10))))&(((~in(skolem0006(X13,X14,X15),X15)|(~in(skolem0006(X13,X14,X15),X13)|~in(skolem0006(X13,X14,X15),X14)))&(in(skolem0006(X13,X14,X15),X15)|(in(skolem0006(X13,X14,X15),X13)&in(skolem0006(X13,X14,X15),X14))))|X15=set_intersection2(X13,X14))))))))))),inference(shift_quantors,[status(thm)],[fof(c26,plain,((![X8]:(![X9]:(![X10]:(X10!=set_intersection2(X8,X9)|((![X11]:(~in(X11,X10)|(in(X11,X8)&in(X11,X9))))&(![X12]:((~in(X12,X8)|~in(X12,X9))|in(X12,X10))))))))&(![X13]:(![X14]:(![X15]:(((~in(skolem0006(X13,X14,X15),X15)|(~in(skolem0006(X13,X14,X15),X13)|~in(skolem0006(X13,X14,X15),X14)))&(in(skolem0006(X13,X14,X15),X15)|(in(skolem0006(X13,X14,X15),X13)&in(skolem0006(X13,X14,X15),X14))))|X15=set_intersection2(X13,X14)))))),inference(skolemize,[status(esa)],[c25])).])).
% 2.01/2.17 fof(c28,plain,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:((((X10!=set_intersection2(X8,X9)|(~in(X11,X10)|in(X11,X8)))&(X10!=set_intersection2(X8,X9)|(~in(X11,X10)|in(X11,X9))))&(X10!=set_intersection2(X8,X9)|((~in(X12,X8)|~in(X12,X9))|in(X12,X10))))&(((~in(skolem0006(X13,X14,X15),X15)|(~in(skolem0006(X13,X14,X15),X13)|~in(skolem0006(X13,X14,X15),X14)))|X15=set_intersection2(X13,X14))&(((in(skolem0006(X13,X14,X15),X15)|in(skolem0006(X13,X14,X15),X13))|X15=set_intersection2(X13,X14))&((in(skolem0006(X13,X14,X15),X15)|in(skolem0006(X13,X14,X15),X14))|X15=set_intersection2(X13,X14))))))))))))),inference(distribute,[status(thm)],[c27])).
% 2.01/2.17 cnf(c31,plain,X126!=set_intersection2(X125,X124)|~in(X123,X125)|~in(X123,X124)|in(X123,X126),inference(split_conjunct,[status(thm)],[c28])).
% 2.01/2.17 cnf(c170,plain,~in(X807,X806)|~in(X807,X805)|in(X807,set_intersection2(X805,X806)),inference(resolution,[status(thm)],[c31, c58])).
% 2.01/2.17 cnf(c3230,plain,~in(X1119,X1118)|in(X1119,set_intersection2(unordered_pair(X1120,X1119),X1118)),inference(resolution,[status(thm)],[c170, c304])).
% 2.01/2.17 cnf(c5469,plain,in(skolem0002,set_intersection2(unordered_pair(X1142,skolem0002),skolem0003)),inference(resolution,[status(thm)],[c3230, c11])).
% 2.01/2.17 cnf(c5577,plain,skolem0002=skolem0001,inference(resolution,[status(thm)],[c5469, c205])).
% 2.01/2.17 cnf(c5790,plain,skolem0001=skolem0002,inference(resolution,[status(thm)],[c5577, symmetry])).
% 2.01/2.17 cnf(c5801,plain,$false,inference(resolution,[status(thm)],[c5790, c12])).
% 2.01/2.17 % SZS output end CNFRefutation
% 2.01/2.17
% 2.01/2.17 % Initial clauses : 33
% 2.01/2.17 % Processed clauses : 313
% 2.01/2.17 % Factors computed : 25
% 2.01/2.17 % Resolvents computed: 5751
% 2.01/2.17 % Tautologies deleted: 10
% 2.01/2.17 % Forward subsumed : 347
% 2.01/2.17 % Backward subsumed : 1
% 2.01/2.17 % -------- CPU Time ---------
% 2.01/2.17 % User time : 1.774 s
% 2.01/2.17 % System time : 0.023 s
% 2.01/2.17 % Total time : 1.797 s
%------------------------------------------------------------------------------