%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET027+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 17:38:54 EDT 2024
% Result : Theorem 0.38s 0.57s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET027+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 18:39:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.38/0.57 % Version: 1.5
% 0.38/0.57 % SZS status Theorem
% 0.38/0.57 % SZS output start CNFRefutation
% 0.38/0.57 fof(prove_transitivity_of_subset,conjecture,(![B]:(![C]:(![D]:((subset(B,C)&subset(C,D))=>subset(B,D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_transitivity_of_subset)).
% 0.38/0.57 fof(c0,negated_conjecture,(~(![B]:(![C]:(![D]:((subset(B,C)&subset(C,D))=>subset(B,D)))))),inference(assume_negation,[status(cth)],[prove_transitivity_of_subset])).
% 0.38/0.57 fof(c1,negated_conjecture,(?[B]:(?[C]:(?[D]:((subset(B,C)&subset(C,D))&~subset(B,D))))),inference(fof_nnf,[status(thm)],[c0])).
% 0.38/0.57 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((subset(X2,X3)&subset(X3,X4))&~subset(X2,X4))))),inference(variable_rename,[status(thm)],[c1])).
% 0.38/0.57 fof(c3,negated_conjecture,((subset(skolem0001,skolem0002)&subset(skolem0002,skolem0003))&~subset(skolem0001,skolem0003)),inference(skolemize,[status(esa)],[c2])).
% 0.38/0.57 cnf(c6,negated_conjecture,~subset(skolem0001,skolem0003),inference(split_conjunct,[status(thm)],[c3])).
% 0.38/0.57 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)).
% 0.38/0.57 fof(c9,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])).
% 0.38/0.57 fof(c10,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)],[c9])).
% 0.38/0.57 fof(c11,plain,((![X6]:(![X7]:(~subset(X6,X7)|(![X8]:(~member(X8,X6)|member(X8,X7))))))&(![X9]:(![X10]:((?[X11]:(member(X11,X9)&~member(X11,X10)))|subset(X9,X10))))),inference(variable_rename,[status(thm)],[c10])).
% 0.38/0.57 fof(c13,plain,(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:((~subset(X6,X7)|(~member(X8,X6)|member(X8,X7)))&((member(skolem0004(X9,X10),X9)&~member(skolem0004(X9,X10),X10))|subset(X9,X10)))))))),inference(shift_quantors,[status(thm)],[fof(c12,plain,((![X6]:(![X7]:(~subset(X6,X7)|(![X8]:(~member(X8,X6)|member(X8,X7))))))&(![X9]:(![X10]:((member(skolem0004(X9,X10),X9)&~member(skolem0004(X9,X10),X10))|subset(X9,X10))))),inference(skolemize,[status(esa)],[c11])).])).
% 0.38/0.57 fof(c14,plain,(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:((~subset(X6,X7)|(~member(X8,X6)|member(X8,X7)))&((member(skolem0004(X9,X10),X9)|subset(X9,X10))&(~member(skolem0004(X9,X10),X10)|subset(X9,X10))))))))),inference(distribute,[status(thm)],[c13])).
% 0.38/0.57 cnf(c17,plain,~member(skolem0004(X18,X19),X19)|subset(X18,X19),inference(split_conjunct,[status(thm)],[c14])).
% 0.38/0.57 cnf(c5,negated_conjecture,subset(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c3])).
% 0.38/0.57 cnf(c15,plain,~subset(X16,X15)|~member(X17,X16)|member(X17,X15),inference(split_conjunct,[status(thm)],[c14])).
% 0.38/0.57 cnf(c4,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c3])).
% 0.38/0.57 cnf(c16,plain,member(skolem0004(X13,X14),X13)|subset(X13,X14),inference(split_conjunct,[status(thm)],[c14])).
% 0.38/0.57 cnf(c18,plain,member(skolem0004(skolem0001,skolem0003),skolem0001),inference(resolution,[status(thm)],[c16, c6])).
% 0.38/0.57 cnf(c20,plain,~subset(skolem0001,X21)|member(skolem0004(skolem0001,skolem0003),X21),inference(resolution,[status(thm)],[c18, c15])).
% 0.38/0.57 cnf(c23,plain,member(skolem0004(skolem0001,skolem0003),skolem0002),inference(resolution,[status(thm)],[c20, c4])).
% 0.38/0.57 cnf(c29,plain,~subset(skolem0002,X30)|member(skolem0004(skolem0001,skolem0003),X30),inference(resolution,[status(thm)],[c23, c15])).
% 0.38/0.57 cnf(c44,plain,member(skolem0004(skolem0001,skolem0003),skolem0003),inference(resolution,[status(thm)],[c29, c5])).
% 0.38/0.57 cnf(c46,plain,subset(skolem0001,skolem0003),inference(resolution,[status(thm)],[c44, c17])).
% 0.38/0.57 cnf(c58,plain,$false,inference(resolution,[status(thm)],[c46, c6])).
% 0.38/0.57 % SZS output end CNFRefutation
% 0.38/0.57
% 0.38/0.57 % Initial clauses : 7
% 0.38/0.57 % Processed clauses : 18
% 0.38/0.57 % Factors computed : 1
% 0.38/0.57 % Resolvents computed: 41
% 0.38/0.57 % Tautologies deleted: 0
% 0.38/0.57 % Forward subsumed : 7
% 0.38/0.57 % Backward subsumed : 0
% 0.38/0.57 % -------- CPU Time ---------
% 0.38/0.57 % User time : 0.203 s
% 0.38/0.57 % System time : 0.011 s
% 0.38/0.57 % Total time : 0.214 s
%------------------------------------------------------------------------------