TSTP Solution File: SET587+3 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET587+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 17:39:46 EDT 2024
% Result : Theorem 236.40s 236.61s
% Output : Refutation 236.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET587+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n016.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 18:19:07 EDT 2024
% 0.13/0.35 % CPUTime :
% 236.40/236.61 % Version: 1.5
% 236.40/236.61 % SZS status Theorem
% 236.40/236.61 % SZS output start CNFRefutation
% 236.40/236.61 fof(difference_defn,axiom,(![B]:(![C]:(![D]:(member(D,difference(B,C))<=>(member(D,B)&(~member(D,C))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', difference_defn)).
% 236.40/236.61 fof(c50,plain,(![B]:(![C]:(![D]:(member(D,difference(B,C))<=>(member(D,B)&~member(D,C)))))),inference(fof_simplification,[status(thm)],[difference_defn])).
% 236.40/236.61 fof(c51,plain,(![B]:(![C]:(![D]:((~member(D,difference(B,C))|(member(D,B)&~member(D,C)))&((~member(D,B)|member(D,C))|member(D,difference(B,C))))))),inference(fof_nnf,[status(thm)],[c50])).
% 236.40/236.61 fof(c52,plain,((![B]:(![C]:(![D]:(~member(D,difference(B,C))|(member(D,B)&~member(D,C))))))&(![B]:(![C]:(![D]:((~member(D,B)|member(D,C))|member(D,difference(B,C))))))),inference(shift_quantors,[status(thm)],[c51])).
% 236.40/236.61 fof(c54,plain,(![X27]:(![X28]:(![X29]:(![X30]:(![X31]:(![X32]:((~member(X29,difference(X27,X28))|(member(X29,X27)&~member(X29,X28)))&((~member(X32,X30)|member(X32,X31))|member(X32,difference(X30,X31)))))))))),inference(shift_quantors,[status(thm)],[fof(c53,plain,((![X27]:(![X28]:(![X29]:(~member(X29,difference(X27,X28))|(member(X29,X27)&~member(X29,X28))))))&(![X30]:(![X31]:(![X32]:((~member(X32,X30)|member(X32,X31))|member(X32,difference(X30,X31))))))),inference(variable_rename,[status(thm)],[c52])).])).
% 236.40/236.61 fof(c55,plain,(![X27]:(![X28]:(![X29]:(![X30]:(![X31]:(![X32]:(((~member(X29,difference(X27,X28))|member(X29,X27))&(~member(X29,difference(X27,X28))|~member(X29,X28)))&((~member(X32,X30)|member(X32,X31))|member(X32,difference(X30,X31)))))))))),inference(distribute,[status(thm)],[c54])).
% 236.40/236.61 cnf(c57,plain,~member(X92,difference(X91,X90))|~member(X92,X90),inference(split_conjunct,[status(thm)],[c55])).
% 236.40/236.61 fof(prove_difference_empty_set,conjecture,(![B]:(![C]:(difference(B,C)=empty_set<=>subset(B,C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_difference_empty_set)).
% 236.40/236.61 fof(c4,negated_conjecture,(~(![B]:(![C]:(difference(B,C)=empty_set<=>subset(B,C))))),inference(assume_negation,[status(cth)],[prove_difference_empty_set])).
% 236.40/236.61 fof(c5,negated_conjecture,(?[B]:(?[C]:((difference(B,C)!=empty_set|~subset(B,C))&(difference(B,C)=empty_set|subset(B,C))))),inference(fof_nnf,[status(thm)],[c4])).
% 236.40/236.61 fof(c6,negated_conjecture,(?[X2]:(?[X3]:((difference(X2,X3)!=empty_set|~subset(X2,X3))&(difference(X2,X3)=empty_set|subset(X2,X3))))),inference(variable_rename,[status(thm)],[c5])).
% 236.40/236.61 fof(c7,negated_conjecture,((difference(skolem0001,skolem0002)!=empty_set|~subset(skolem0001,skolem0002))&(difference(skolem0001,skolem0002)=empty_set|subset(skolem0001,skolem0002))),inference(skolemize,[status(esa)],[c6])).
% 236.40/236.61 cnf(c8,negated_conjecture,difference(skolem0001,skolem0002)!=empty_set|~subset(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c7])).
% 236.40/236.61 fof(empty_defn,axiom,(![B]:(empty(B)<=>(![C]:(~member(C,B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_defn)).
% 236.40/236.61 fof(c10,plain,(![B]:(empty(B)<=>(![C]:~member(C,B)))),inference(fof_simplification,[status(thm)],[empty_defn])).
% 236.40/236.61 fof(c11,plain,(![B]:((~empty(B)|(![C]:~member(C,B)))&((?[C]:member(C,B))|empty(B)))),inference(fof_nnf,[status(thm)],[c10])).
% 236.40/236.61 fof(c12,plain,((![B]:(~empty(B)|(![C]:~member(C,B))))&(![B]:((?[C]:member(C,B))|empty(B)))),inference(shift_quantors,[status(thm)],[c11])).
% 236.40/236.61 fof(c13,plain,((![X4]:(~empty(X4)|(![X5]:~member(X5,X4))))&(![X6]:((?[X7]:member(X7,X6))|empty(X6)))),inference(variable_rename,[status(thm)],[c12])).
% 236.40/236.61 fof(c15,plain,(![X4]:(![X5]:(![X6]:((~empty(X4)|~member(X5,X4))&(member(skolem0003(X6),X6)|empty(X6)))))),inference(shift_quantors,[status(thm)],[fof(c14,plain,((![X4]:(~empty(X4)|(![X5]:~member(X5,X4))))&(![X6]:(member(skolem0003(X6),X6)|empty(X6)))),inference(skolemize,[status(esa)],[c13])).])).
% 236.40/236.61 cnf(c17,plain,member(skolem0003(X60),X60)|empty(X60),inference(split_conjunct,[status(thm)],[c15])).
% 236.40/236.61 cnf(c16,plain,~empty(X39)|~member(X40,X39),inference(split_conjunct,[status(thm)],[c15])).
% 236.40/236.61 fof(subset_defn,axiom,(![B]:(![C]:(subset(B,C)<=>(![D]:(member(D,B)=>member(D,C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_defn)).
% 236.40/236.61 fof(c38,plain,(![B]:(![C]:((~subset(B,C)|(![D]:(~member(D,B)|member(D,C))))&((?[D]:(member(D,B)&~member(D,C)))|subset(B,C))))),inference(fof_nnf,[status(thm)],[subset_defn])).
% 236.40/236.61 fof(c39,plain,((![B]:(![C]:(~subset(B,C)|(![D]:(~member(D,B)|member(D,C))))))&(![B]:(![C]:((?[D]:(member(D,B)&~member(D,C)))|subset(B,C))))),inference(shift_quantors,[status(thm)],[c38])).
% 236.40/236.61 fof(c40,plain,((![X20]:(![X21]:(~subset(X20,X21)|(![X22]:(~member(X22,X20)|member(X22,X21))))))&(![X23]:(![X24]:((?[X25]:(member(X25,X23)&~member(X25,X24)))|subset(X23,X24))))),inference(variable_rename,[status(thm)],[c39])).
% 236.40/236.61 fof(c42,plain,(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:((~subset(X20,X21)|(~member(X22,X20)|member(X22,X21)))&((member(skolem0005(X23,X24),X23)&~member(skolem0005(X23,X24),X24))|subset(X23,X24)))))))),inference(shift_quantors,[status(thm)],[fof(c41,plain,((![X20]:(![X21]:(~subset(X20,X21)|(![X22]:(~member(X22,X20)|member(X22,X21))))))&(![X23]:(![X24]:((member(skolem0005(X23,X24),X23)&~member(skolem0005(X23,X24),X24))|subset(X23,X24))))),inference(skolemize,[status(esa)],[c40])).])).
% 236.40/236.61 fof(c43,plain,(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:((~subset(X20,X21)|(~member(X22,X20)|member(X22,X21)))&((member(skolem0005(X23,X24),X23)|subset(X23,X24))&(~member(skolem0005(X23,X24),X24)|subset(X23,X24))))))))),inference(distribute,[status(thm)],[c42])).
% 236.40/236.61 cnf(c45,plain,member(skolem0005(X70,X69),X70)|subset(X70,X69),inference(split_conjunct,[status(thm)],[c43])).
% 236.40/236.61 cnf(c77,plain,subset(X72,X73)|~empty(X72),inference(resolution,[status(thm)],[c45, c16])).
% 236.40/236.61 cnf(c79,plain,subset(X80,X79)|member(skolem0003(X80),X80),inference(resolution,[status(thm)],[c77, c17])).
% 236.40/236.61 fof(empty_set_defn,axiom,(![B]:(~member(B,empty_set))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_set_defn)).
% 236.40/236.61 fof(c47,plain,(![B]:~member(B,empty_set)),inference(fof_simplification,[status(thm)],[empty_set_defn])).
% 236.40/236.61 fof(c48,plain,(![X26]:~member(X26,empty_set)),inference(variable_rename,[status(thm)],[c47])).
% 236.40/236.61 cnf(c49,plain,~member(X38,empty_set),inference(split_conjunct,[status(thm)],[c48])).
% 236.40/236.61 cnf(c78,plain,subset(empty_set,X71),inference(resolution,[status(thm)],[c45, c49])).
% 236.40/236.61 fof(equal_defn,axiom,(![B]:(![C]:(B=C<=>(subset(B,C)&subset(C,B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_defn)).
% 236.40/236.61 fof(c30,plain,(![B]:(![C]:((B!=C|(subset(B,C)&subset(C,B)))&((~subset(B,C)|~subset(C,B))|B=C)))),inference(fof_nnf,[status(thm)],[equal_defn])).
% 236.40/236.61 fof(c31,plain,((![B]:(![C]:(B!=C|(subset(B,C)&subset(C,B)))))&(![B]:(![C]:((~subset(B,C)|~subset(C,B))|B=C)))),inference(shift_quantors,[status(thm)],[c30])).
% 236.40/236.61 fof(c33,plain,(![X16]:(![X17]:(![X18]:(![X19]:((X16!=X17|(subset(X16,X17)&subset(X17,X16)))&((~subset(X18,X19)|~subset(X19,X18))|X18=X19)))))),inference(shift_quantors,[status(thm)],[fof(c32,plain,((![X16]:(![X17]:(X16!=X17|(subset(X16,X17)&subset(X17,X16)))))&(![X18]:(![X19]:((~subset(X18,X19)|~subset(X19,X18))|X18=X19)))),inference(variable_rename,[status(thm)],[c31])).])).
% 236.40/236.61 fof(c34,plain,(![X16]:(![X17]:(![X18]:(![X19]:(((X16!=X17|subset(X16,X17))&(X16!=X17|subset(X17,X16)))&((~subset(X18,X19)|~subset(X19,X18))|X18=X19)))))),inference(distribute,[status(thm)],[c33])).
% 236.40/236.61 cnf(c37,plain,~subset(X99,X100)|~subset(X100,X99)|X99=X100,inference(split_conjunct,[status(thm)],[c34])).
% 236.40/236.61 cnf(c112,plain,~subset(X103,empty_set)|X103=empty_set,inference(resolution,[status(thm)],[c37, c78])).
% 236.40/236.61 cnf(c117,plain,X106=empty_set|member(skolem0003(X106),X106),inference(resolution,[status(thm)],[c112, c79])).
% 236.40/236.61 cnf(c122,plain,member(skolem0003(difference(skolem0001,skolem0002)),difference(skolem0001,skolem0002))|~subset(skolem0001,skolem0002),inference(resolution,[status(thm)],[c117, c8])).
% 236.40/236.61 cnf(c46,plain,~member(skolem0005(X85,X84),X84)|subset(X85,X84),inference(split_conjunct,[status(thm)],[c43])).
% 236.40/236.61 cnf(c58,plain,~member(X121,X123)|member(X121,X122)|member(X121,difference(X123,X122)),inference(split_conjunct,[status(thm)],[c55])).
% 236.40/236.61 cnf(c185,plain,member(skolem0005(X851,X852),X850)|member(skolem0005(X851,X852),difference(X851,X850))|subset(X851,X852),inference(resolution,[status(thm)],[c58, c45])).
% 236.40/236.61 cnf(c2884,plain,member(skolem0005(X1194,X1195),difference(X1194,X1195))|subset(X1194,X1195),inference(resolution,[status(thm)],[c185, c46])).
% 236.40/236.61 cnf(c4650,plain,subset(X1196,X1197)|~empty(difference(X1196,X1197)),inference(resolution,[status(thm)],[c2884, c16])).
% 236.40/236.61 cnf(c9,negated_conjecture,difference(skolem0001,skolem0002)=empty_set|subset(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c7])).
% 236.40/236.61 fof(equal_member_defn,axiom,(![B]:(![C]:(B=C<=>(![D]:(member(D,B)<=>member(D,C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 236.40/236.61 fof(c20,plain,(![B]:(![C]:((B!=C|(![D]:((~member(D,B)|member(D,C))&(~member(D,C)|member(D,B)))))&((?[D]:((~member(D,B)|~member(D,C))&(member(D,B)|member(D,C))))|B=C)))),inference(fof_nnf,[status(thm)],[equal_member_defn])).
% 236.40/236.61 fof(c21,plain,((![B]:(![C]:(B!=C|((![D]:(~member(D,B)|member(D,C)))&(![D]:(~member(D,C)|member(D,B)))))))&(![B]:(![C]:((?[D]:((~member(D,B)|~member(D,C))&(member(D,B)|member(D,C))))|B=C)))),inference(shift_quantors,[status(thm)],[c20])).
% 236.40/236.61 fof(c22,plain,((![X9]:(![X10]:(X9!=X10|((![X11]:(~member(X11,X9)|member(X11,X10)))&(![X12]:(~member(X12,X10)|member(X12,X9)))))))&(![X13]:(![X14]:((?[X15]:((~member(X15,X13)|~member(X15,X14))&(member(X15,X13)|member(X15,X14))))|X13=X14)))),inference(variable_rename,[status(thm)],[c21])).
% 236.40/236.61 fof(c24,plain,(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((X9!=X10|((~member(X11,X9)|member(X11,X10))&(~member(X12,X10)|member(X12,X9))))&(((~member(skolem0004(X13,X14),X13)|~member(skolem0004(X13,X14),X14))&(member(skolem0004(X13,X14),X13)|member(skolem0004(X13,X14),X14)))|X13=X14)))))))),inference(shift_quantors,[status(thm)],[fof(c23,plain,((![X9]:(![X10]:(X9!=X10|((![X11]:(~member(X11,X9)|member(X11,X10)))&(![X12]:(~member(X12,X10)|member(X12,X9)))))))&(![X13]:(![X14]:(((~member(skolem0004(X13,X14),X13)|~member(skolem0004(X13,X14),X14))&(member(skolem0004(X13,X14),X13)|member(skolem0004(X13,X14),X14)))|X13=X14)))),inference(skolemize,[status(esa)],[c22])).])).
% 236.40/236.61 fof(c25,plain,(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(((X9!=X10|(~member(X11,X9)|member(X11,X10)))&(X9!=X10|(~member(X12,X10)|member(X12,X9))))&(((~member(skolem0004(X13,X14),X13)|~member(skolem0004(X13,X14),X14))|X13=X14)&((member(skolem0004(X13,X14),X13)|member(skolem0004(X13,X14),X14))|X13=X14))))))))),inference(distribute,[status(thm)],[c24])).
% 236.40/236.61 cnf(c26,plain,X95!=X93|~member(X94,X95)|member(X94,X93),inference(split_conjunct,[status(thm)],[c25])).
% 236.40/236.61 cnf(c97,plain,X150!=X149|member(skolem0003(X150),X149)|empty(X150),inference(resolution,[status(thm)],[c26, c17])).
% 236.40/236.61 cnf(c237,plain,member(skolem0003(difference(skolem0001,skolem0002)),empty_set)|empty(difference(skolem0001,skolem0002))|subset(skolem0001,skolem0002),inference(resolution,[status(thm)],[c97, c9])).
% 236.40/236.61 cnf(c4985,plain,empty(difference(skolem0001,skolem0002))|subset(skolem0001,skolem0002),inference(resolution,[status(thm)],[c237, c49])).
% 236.40/236.61 cnf(c5522,plain,subset(skolem0001,skolem0002),inference(resolution,[status(thm)],[c4985, c4650])).
% 236.40/236.61 cnf(c5569,plain,member(skolem0003(difference(skolem0001,skolem0002)),difference(skolem0001,skolem0002)),inference(resolution,[status(thm)],[c5522, c122])).
% 236.40/236.61 cnf(c88356,plain,~member(skolem0003(difference(skolem0001,skolem0002)),skolem0002),inference(resolution,[status(thm)],[c5569, c57])).
% 236.40/236.61 cnf(c44,plain,~subset(X116,X115)|~member(X114,X116)|member(X114,X115),inference(split_conjunct,[status(thm)],[c43])).
% 236.40/236.61 cnf(c56,plain,~member(X89,difference(X88,X87))|member(X89,X88),inference(split_conjunct,[status(thm)],[c55])).
% 236.40/236.61 cnf(c131,plain,difference(X456,X457)=empty_set|member(skolem0003(difference(X456,X457)),X456),inference(resolution,[status(thm)],[c117, c56])).
% 236.40/236.61 cnf(c1188,plain,member(skolem0003(difference(skolem0001,skolem0002)),skolem0001)|~subset(skolem0001,skolem0002),inference(resolution,[status(thm)],[c131, c8])).
% 236.40/236.61 cnf(c67775,plain,member(skolem0003(difference(skolem0001,skolem0002)),skolem0001),inference(resolution,[status(thm)],[c1188, c5522])).
% 236.40/236.61 cnf(c67801,plain,~subset(skolem0001,X14920)|member(skolem0003(difference(skolem0001,skolem0002)),X14920),inference(resolution,[status(thm)],[c67775, c44])).
% 236.40/236.61 cnf(c188190,plain,member(skolem0003(difference(skolem0001,skolem0002)),skolem0002),inference(resolution,[status(thm)],[c67801, c5522])).
% 236.40/236.61 cnf(c188267,plain,$false,inference(resolution,[status(thm)],[c188190, c88356])).
% 236.40/236.61 % SZS output end CNFRefutation
% 236.40/236.61
% 236.40/236.61 % Initial clauses : 28
% 236.40/236.61 % Processed clauses : 1522
% 236.40/236.61 % Factors computed : 298
% 236.40/236.61 % Resolvents computed: 187908
% 236.40/236.61 % Tautologies deleted: 28
% 236.40/236.61 % Forward subsumed : 6972
% 236.40/236.61 % Backward subsumed : 111
% 236.40/236.61 % -------- CPU Time ---------
% 236.40/236.61 % User time : 235.803 s
% 236.40/236.61 % System time : 0.466 s
% 236.40/236.61 % Total time : 236.269 s
%------------------------------------------------------------------------------