%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET627+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 17:39:52 EDT 2024
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET627+3 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n018.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 18:59:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.55 % Version: 1.5
% 0.21/0.55 % SZS status Theorem
% 0.21/0.55 % SZS output start CNFRefutation
% 0.21/0.55 fof(disjoint_defn,axiom,(![B]:(![C]:(disjoint(B,C)<=>(~intersect(B,C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', disjoint_defn)).
% 0.21/0.55 fof(c16,plain,(![B]:(![C]:(disjoint(B,C)<=>~intersect(B,C)))),inference(fof_simplification,[status(thm)],[disjoint_defn])).
% 0.21/0.55 fof(c17,plain,(![B]:(![C]:((~disjoint(B,C)|~intersect(B,C))&(intersect(B,C)|disjoint(B,C))))),inference(fof_nnf,[status(thm)],[c16])).
% 0.21/0.55 fof(c18,plain,((![B]:(![C]:(~disjoint(B,C)|~intersect(B,C))))&(![B]:(![C]:(intersect(B,C)|disjoint(B,C))))),inference(shift_quantors,[status(thm)],[c17])).
% 0.21/0.55 fof(c20,plain,(![X9]:(![X10]:(![X11]:(![X12]:((~disjoint(X9,X10)|~intersect(X9,X10))&(intersect(X11,X12)|disjoint(X11,X12))))))),inference(shift_quantors,[status(thm)],[fof(c19,plain,((![X9]:(![X10]:(~disjoint(X9,X10)|~intersect(X9,X10))))&(![X11]:(![X12]:(intersect(X11,X12)|disjoint(X11,X12))))),inference(variable_rename,[status(thm)],[c18])).])).
% 0.21/0.55 cnf(c21,plain,~disjoint(X26,X25)|~intersect(X26,X25),inference(split_conjunct,[status(thm)],[c20])).
% 0.21/0.55 fof(symmetry_of_intersect,axiom,(![B]:(![C]:(intersect(B,C)=>intersect(C,B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', symmetry_of_intersect)).
% 0.21/0.55 fof(c13,plain,(![B]:(![C]:(~intersect(B,C)|intersect(C,B)))),inference(fof_nnf,[status(thm)],[symmetry_of_intersect])).
% 0.21/0.55 fof(c14,plain,(![X7]:(![X8]:(~intersect(X7,X8)|intersect(X8,X7)))),inference(variable_rename,[status(thm)],[c13])).
% 0.21/0.55 cnf(c15,plain,~intersect(X23,X24)|intersect(X24,X23),inference(split_conjunct,[status(thm)],[c14])).
% 0.21/0.55 fof(prove_th104,conjecture,(![B]:disjoint(B,empty_set)),file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th104)).
% 0.21/0.55 fof(c0,negated_conjecture,(~(![B]:disjoint(B,empty_set))),inference(assume_negation,[status(cth)],[prove_th104])).
% 0.21/0.55 fof(c1,negated_conjecture,(?[B]:~disjoint(B,empty_set)),inference(fof_nnf,[status(thm)],[c0])).
% 0.21/0.55 fof(c2,negated_conjecture,(?[X2]:~disjoint(X2,empty_set)),inference(variable_rename,[status(thm)],[c1])).
% 0.21/0.55 fof(c3,negated_conjecture,~disjoint(skolem0001,empty_set),inference(skolemize,[status(esa)],[c2])).
% 0.21/0.55 cnf(c4,negated_conjecture,~disjoint(skolem0001,empty_set),inference(split_conjunct,[status(thm)],[c3])).
% 0.21/0.55 cnf(c22,plain,intersect(X30,X29)|disjoint(X30,X29),inference(split_conjunct,[status(thm)],[c20])).
% 0.21/0.55 cnf(c39,plain,intersect(skolem0001,empty_set),inference(resolution,[status(thm)],[c22, c4])).
% 0.21/0.55 cnf(c41,plain,intersect(empty_set,skolem0001),inference(resolution,[status(thm)],[c39, c15])).
% 0.21/0.55 cnf(c44,plain,~disjoint(empty_set,skolem0001),inference(resolution,[status(thm)],[c41, c21])).
% 0.21/0.55 fof(empty_set_defn,axiom,(![B]:(~member(B,empty_set))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_set_defn)).
% 0.21/0.55 fof(c32,plain,(![B]:~member(B,empty_set)),inference(fof_simplification,[status(thm)],[empty_set_defn])).
% 0.21/0.55 fof(c33,plain,(![X19]:~member(X19,empty_set)),inference(variable_rename,[status(thm)],[c32])).
% 0.21/0.55 cnf(c34,plain,~member(X20,empty_set),inference(split_conjunct,[status(thm)],[c33])).
% 0.21/0.55 fof(intersect_defn,axiom,(![B]:(![C]:(intersect(B,C)<=>(?[D]:(member(D,B)&member(D,C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersect_defn)).
% 0.21/0.55 fof(c23,plain,(![B]:(![C]:((~intersect(B,C)|(?[D]:(member(D,B)&member(D,C))))&((![D]:(~member(D,B)|~member(D,C)))|intersect(B,C))))),inference(fof_nnf,[status(thm)],[intersect_defn])).
% 0.21/0.55 fof(c24,plain,((![B]:(![C]:(~intersect(B,C)|(?[D]:(member(D,B)&member(D,C))))))&(![B]:(![C]:((![D]:(~member(D,B)|~member(D,C)))|intersect(B,C))))),inference(shift_quantors,[status(thm)],[c23])).
% 0.21/0.55 fof(c25,plain,((![X13]:(![X14]:(~intersect(X13,X14)|(?[X15]:(member(X15,X13)&member(X15,X14))))))&(![X16]:(![X17]:((![X18]:(~member(X18,X16)|~member(X18,X17)))|intersect(X16,X17))))),inference(variable_rename,[status(thm)],[c24])).
% 0.21/0.55 fof(c27,plain,(![X13]:(![X14]:(![X16]:(![X17]:(![X18]:((~intersect(X13,X14)|(member(skolem0003(X13,X14),X13)&member(skolem0003(X13,X14),X14)))&((~member(X18,X16)|~member(X18,X17))|intersect(X16,X17)))))))),inference(shift_quantors,[status(thm)],[fof(c26,plain,((![X13]:(![X14]:(~intersect(X13,X14)|(member(skolem0003(X13,X14),X13)&member(skolem0003(X13,X14),X14)))))&(![X16]:(![X17]:((![X18]:(~member(X18,X16)|~member(X18,X17)))|intersect(X16,X17))))),inference(skolemize,[status(esa)],[c25])).])).
% 0.21/0.55 fof(c28,plain,(![X13]:(![X14]:(![X16]:(![X17]:(![X18]:(((~intersect(X13,X14)|member(skolem0003(X13,X14),X13))&(~intersect(X13,X14)|member(skolem0003(X13,X14),X14)))&((~member(X18,X16)|~member(X18,X17))|intersect(X16,X17)))))))),inference(distribute,[status(thm)],[c27])).
% 0.21/0.55 cnf(c29,plain,~intersect(X32,X31)|member(skolem0003(X32,X31),X32),inference(split_conjunct,[status(thm)],[c28])).
% 0.21/0.55 cnf(c43,plain,member(skolem0003(X55,X54),X55)|disjoint(X55,X54),inference(resolution,[status(thm)],[c29, c22])).
% 0.21/0.55 cnf(c82,plain,disjoint(empty_set,X56),inference(resolution,[status(thm)],[c43, c34])).
% 0.21/0.55 cnf(c90,plain,$false,inference(resolution,[status(thm)],[c82, c44])).
% 0.21/0.55 % SZS output end CNFRefutation
% 0.21/0.55
% 0.21/0.55 % Initial clauses : 10
% 0.21/0.55 % Processed clauses : 25
% 0.21/0.55 % Factors computed : 1
% 0.21/0.55 % Resolvents computed: 55
% 0.21/0.55 % Tautologies deleted: 2
% 0.21/0.55 % Forward subsumed : 10
% 0.21/0.55 % Backward subsumed : 0
% 0.21/0.55 % -------- CPU Time ---------
% 0.21/0.55 % User time : 0.165 s
% 0.21/0.55 % System time : 0.017 s
% 0.21/0.55 % Total time : 0.182 s
%------------------------------------------------------------------------------