%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET146+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 17:39:17 EDT 2024
% Result : Theorem 0.54s 0.75s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SET146+3 : TPTP v8.1.2. Released v2.2.0.
% 0.09/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed May 8 18:31:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.54/0.75 % Version: 1.5
% 0.54/0.75 % SZS status Theorem
% 0.54/0.75 % SZS output start CNFRefutation
% 0.54/0.75 fof(prove_th61,conjecture,(![B]:intersection(B,empty_set)=empty_set),file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th61)).
% 0.54/0.75 fof(c4,negated_conjecture,(~(![B]:intersection(B,empty_set)=empty_set)),inference(assume_negation,[status(cth)],[prove_th61])).
% 0.54/0.75 fof(c5,negated_conjecture,(?[B]:intersection(B,empty_set)!=empty_set),inference(fof_nnf,[status(thm)],[c4])).
% 0.54/0.75 fof(c6,negated_conjecture,(?[X2]:intersection(X2,empty_set)!=empty_set),inference(variable_rename,[status(thm)],[c5])).
% 0.54/0.75 fof(c7,negated_conjecture,intersection(skolem0001,empty_set)!=empty_set,inference(skolemize,[status(esa)],[c6])).
% 0.54/0.75 cnf(c8,negated_conjecture,intersection(skolem0001,empty_set)!=empty_set,inference(split_conjunct,[status(thm)],[c7])).
% 0.54/0.75 fof(empty_defn,axiom,(![B]:(empty(B)<=>(![C]:(~member(C,B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_defn)).
% 0.54/0.75 fof(c19,plain,(![B]:(empty(B)<=>(![C]:~member(C,B)))),inference(fof_simplification,[status(thm)],[empty_defn])).
% 0.54/0.75 fof(c20,plain,(![B]:((~empty(B)|(![C]:~member(C,B)))&((?[C]:member(C,B))|empty(B)))),inference(fof_nnf,[status(thm)],[c19])).
% 0.54/0.75 fof(c21,plain,((![B]:(~empty(B)|(![C]:~member(C,B))))&(![B]:((?[C]:member(C,B))|empty(B)))),inference(shift_quantors,[status(thm)],[c20])).
% 0.54/0.75 fof(c22,plain,((![X10]:(~empty(X10)|(![X11]:~member(X11,X10))))&(![X12]:((?[X13]:member(X13,X12))|empty(X12)))),inference(variable_rename,[status(thm)],[c21])).
% 0.54/0.75 fof(c24,plain,(![X10]:(![X11]:(![X12]:((~empty(X10)|~member(X11,X10))&(member(skolem0003(X12),X12)|empty(X12)))))),inference(shift_quantors,[status(thm)],[fof(c23,plain,((![X10]:(~empty(X10)|(![X11]:~member(X11,X10))))&(![X12]:(member(skolem0003(X12),X12)|empty(X12)))),inference(skolemize,[status(esa)],[c22])).])).
% 0.54/0.75 cnf(c25,plain,~empty(X37)|~member(X38,X37),inference(split_conjunct,[status(thm)],[c24])).
% 0.54/0.75 cnf(c26,plain,member(skolem0003(X58),X58)|empty(X58),inference(split_conjunct,[status(thm)],[c24])).
% 0.54/0.75 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)).
% 0.54/0.75 fof(c29,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])).
% 0.54/0.75 fof(c30,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)],[c29])).
% 0.54/0.75 fof(c31,plain,((![X15]:(![X16]:(~subset(X15,X16)|(![X17]:(~member(X17,X15)|member(X17,X16))))))&(![X18]:(![X19]:((?[X20]:(member(X20,X18)&~member(X20,X19)))|subset(X18,X19))))),inference(variable_rename,[status(thm)],[c30])).
% 0.54/0.75 fof(c33,plain,(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:((~subset(X15,X16)|(~member(X17,X15)|member(X17,X16)))&((member(skolem0004(X18,X19),X18)&~member(skolem0004(X18,X19),X19))|subset(X18,X19)))))))),inference(shift_quantors,[status(thm)],[fof(c32,plain,((![X15]:(![X16]:(~subset(X15,X16)|(![X17]:(~member(X17,X15)|member(X17,X16))))))&(![X18]:(![X19]:((member(skolem0004(X18,X19),X18)&~member(skolem0004(X18,X19),X19))|subset(X18,X19))))),inference(skolemize,[status(esa)],[c31])).])).
% 0.54/0.75 fof(c34,plain,(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:((~subset(X15,X16)|(~member(X17,X15)|member(X17,X16)))&((member(skolem0004(X18,X19),X18)|subset(X18,X19))&(~member(skolem0004(X18,X19),X19)|subset(X18,X19))))))))),inference(distribute,[status(thm)],[c33])).
% 0.54/0.75 cnf(c36,plain,member(skolem0004(X79,X80),X79)|subset(X79,X80),inference(split_conjunct,[status(thm)],[c34])).
% 0.54/0.75 cnf(c79,plain,subset(X82,X83)|~empty(X82),inference(resolution,[status(thm)],[c36, c25])).
% 0.54/0.75 cnf(c84,plain,subset(X88,X89)|member(skolem0003(X88),X88),inference(resolution,[status(thm)],[c79, c26])).
% 0.54/0.75 fof(empty_set_defn,axiom,(![B]:(~member(B,empty_set))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_set_defn)).
% 0.54/0.75 fof(c48,plain,(![B]:~member(B,empty_set)),inference(fof_simplification,[status(thm)],[empty_set_defn])).
% 0.54/0.75 fof(c49,plain,(![X27]:~member(X27,empty_set)),inference(variable_rename,[status(thm)],[c48])).
% 0.54/0.75 cnf(c50,plain,~member(X36,empty_set),inference(split_conjunct,[status(thm)],[c49])).
% 0.54/0.75 cnf(c80,plain,subset(empty_set,X81),inference(resolution,[status(thm)],[c36, c50])).
% 0.54/0.75 fof(equal_defn,axiom,(![B]:(![C]:(B=C<=>(subset(B,C)&subset(C,B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_defn)).
% 0.54/0.75 fof(c40,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])).
% 0.54/0.75 fof(c41,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)],[c40])).
% 0.54/0.75 fof(c43,plain,(![X23]:(![X24]:(![X25]:(![X26]:((X23!=X24|(subset(X23,X24)&subset(X24,X23)))&((~subset(X25,X26)|~subset(X26,X25))|X25=X26)))))),inference(shift_quantors,[status(thm)],[fof(c42,plain,((![X23]:(![X24]:(X23!=X24|(subset(X23,X24)&subset(X24,X23)))))&(![X25]:(![X26]:((~subset(X25,X26)|~subset(X26,X25))|X25=X26)))),inference(variable_rename,[status(thm)],[c41])).])).
% 0.54/0.75 fof(c44,plain,(![X23]:(![X24]:(![X25]:(![X26]:(((X23!=X24|subset(X23,X24))&(X23!=X24|subset(X24,X23)))&((~subset(X25,X26)|~subset(X26,X25))|X25=X26)))))),inference(distribute,[status(thm)],[c43])).
% 0.54/0.75 cnf(c47,plain,~subset(X109,X108)|~subset(X108,X109)|X109=X108,inference(split_conjunct,[status(thm)],[c44])).
% 0.54/0.75 cnf(c106,plain,~subset(X114,empty_set)|X114=empty_set,inference(resolution,[status(thm)],[c47, c80])).
% 0.54/0.75 cnf(c115,plain,X118=empty_set|member(skolem0003(X118),X118),inference(resolution,[status(thm)],[c106, c84])).
% 0.54/0.75 cnf(c155,plain,X119=empty_set|~empty(X119),inference(resolution,[status(thm)],[c115, c25])).
% 0.54/0.75 cnf(c3,axiom,X65!=X64|~empty(X65)|empty(X64),theory(equality)).
% 0.54/0.75 fof(commutativity_of_intersection,axiom,(![B]:(![C]:intersection(B,C)=intersection(C,B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_of_intersection)).
% 0.54/0.75 fof(c38,plain,(![X21]:(![X22]:intersection(X21,X22)=intersection(X22,X21))),inference(variable_rename,[status(thm)],[commutativity_of_intersection])).
% 0.54/0.75 cnf(c39,plain,intersection(X67,X68)=intersection(X68,X67),inference(split_conjunct,[status(thm)],[c38])).
% 0.54/0.75 cnf(c75,plain,~empty(intersection(X146,X147))|empty(intersection(X147,X146)),inference(resolution,[status(thm)],[c39, c3])).
% 0.54/0.75 fof(intersection_defn,axiom,(![B]:(![C]:(![D]:(member(D,intersection(B,C))<=>(member(D,B)&member(D,C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 0.54/0.75 fof(c51,plain,(![B]:(![C]:(![D]:((~member(D,intersection(B,C))|(member(D,B)&member(D,C)))&((~member(D,B)|~member(D,C))|member(D,intersection(B,C))))))),inference(fof_nnf,[status(thm)],[intersection_defn])).
% 0.54/0.75 fof(c52,plain,((![B]:(![C]:(![D]:(~member(D,intersection(B,C))|(member(D,B)&member(D,C))))))&(![B]:(![C]:(![D]:((~member(D,B)|~member(D,C))|member(D,intersection(B,C))))))),inference(shift_quantors,[status(thm)],[c51])).
% 0.54/0.75 fof(c54,plain,(![X28]:(![X29]:(![X30]:(![X31]:(![X32]:(![X33]:((~member(X30,intersection(X28,X29))|(member(X30,X28)&member(X30,X29)))&((~member(X33,X31)|~member(X33,X32))|member(X33,intersection(X31,X32)))))))))),inference(shift_quantors,[status(thm)],[fof(c53,plain,((![X28]:(![X29]:(![X30]:(~member(X30,intersection(X28,X29))|(member(X30,X28)&member(X30,X29))))))&(![X31]:(![X32]:(![X33]:((~member(X33,X31)|~member(X33,X32))|member(X33,intersection(X31,X32))))))),inference(variable_rename,[status(thm)],[c52])).])).
% 0.54/0.75 fof(c55,plain,(![X28]:(![X29]:(![X30]:(![X31]:(![X32]:(![X33]:(((~member(X30,intersection(X28,X29))|member(X30,X28))&(~member(X30,intersection(X28,X29))|member(X30,X29)))&((~member(X33,X31)|~member(X33,X32))|member(X33,intersection(X31,X32)))))))))),inference(distribute,[status(thm)],[c54])).
% 0.54/0.75 cnf(c56,plain,~member(X99,intersection(X100,X101))|member(X99,X100),inference(split_conjunct,[status(thm)],[c55])).
% 0.54/0.75 cnf(c96,plain,member(skolem0003(intersection(X271,X270)),X271)|empty(intersection(X271,X270)),inference(resolution,[status(thm)],[c56, c26])).
% 0.54/0.75 cnf(c481,plain,empty(intersection(empty_set,X272)),inference(resolution,[status(thm)],[c96, c50])).
% 0.54/0.75 cnf(c497,plain,empty(intersection(X274,empty_set)),inference(resolution,[status(thm)],[c481, c75])).
% 0.54/0.75 cnf(c506,plain,intersection(X313,empty_set)=empty_set,inference(resolution,[status(thm)],[c497, c155])).
% 0.54/0.75 cnf(c661,plain,$false,inference(resolution,[status(thm)],[c506, c8])).
% 0.54/0.75 % SZS output end CNFRefutation
% 0.54/0.75
% 0.54/0.75 % Initial clauses : 26
% 0.54/0.75 % Processed clauses : 84
% 0.54/0.75 % Factors computed : 11
% 0.54/0.75 % Resolvents computed: 599
% 0.54/0.75 % Tautologies deleted: 4
% 0.54/0.75 % Forward subsumed : 83
% 0.54/0.75 % Backward subsumed : 1
% 0.54/0.75 % -------- CPU Time ---------
% 0.54/0.75 % User time : 0.343 s
% 0.54/0.75 % System time : 0.028 s
% 0.54/0.75 % Total time : 0.371 s
%------------------------------------------------------------------------------