TSTP Solution File: SET027+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET027+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 : 600s
% DateTime : Tue Jul 19 04:34:31 EDT 2022
% Result : Theorem 0.37s 0.54s
% Output : Refutation 0.37s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET027+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n025.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 : 600
% 0.13/0.34 % DateTime : Sun Jul 10 04:52:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.37/0.54 # Version: 1.3
% 0.37/0.54 # SZS status Theorem
% 0.37/0.54 # SZS output start CNFRefutation
% 0.37/0.54 fof(prove_transitivity_of_subset,conjecture,(![B]:(![C]:(![D]:((subset(B,C)&subset(C,D))=>subset(B,D))))),input).
% 0.37/0.54 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])).
% 0.37/0.54 fof(c1,negated_conjecture,(?[B]:(?[C]:(?[D]:((subset(B,C)&subset(C,D))&~subset(B,D))))),inference(fof_nnf,status(thm),[c0])).
% 0.37/0.54 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((subset(X2,X3)&subset(X3,X4))&~subset(X2,X4))))),inference(variable_rename,status(thm),[c1])).
% 0.37/0.54 fof(c3,negated_conjecture,((subset(skolem0001,skolem0002)&subset(skolem0002,skolem0003))&~subset(skolem0001,skolem0003)),inference(skolemize,status(esa),[c2])).
% 0.37/0.54 cnf(c6,negated_conjecture,~subset(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c3])).
% 0.37/0.54 fof(subset_defn,axiom,(![B]:(![C]:(subset(B,C)<=>(![D]:(member(D,B)=>member(D,C)))))),input).
% 0.37/0.54 fof(c9,axiom,(![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])).
% 0.37/0.54 fof(c10,axiom,((![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])).
% 0.37/0.54 fof(c11,axiom,((![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])).
% 0.37/0.54 fof(c13,axiom,(![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,axiom,((![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])).])).
% 0.37/0.54 fof(c14,axiom,(![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])).
% 0.37/0.54 cnf(c17,axiom,~member(skolem0004(X19,X18),X18)|subset(X19,X18),inference(split_conjunct,status(thm),[c14])).
% 0.37/0.54 cnf(c5,negated_conjecture,subset(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c3])).
% 0.37/0.54 cnf(c15,axiom,~subset(X15,X16)|~member(X17,X15)|member(X17,X16),inference(split_conjunct,status(thm),[c14])).
% 0.37/0.54 cnf(c4,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c3])).
% 0.37/0.54 cnf(c16,axiom,member(skolem0004(X14,X13),X14)|subset(X14,X13),inference(split_conjunct,status(thm),[c14])).
% 0.37/0.54 cnf(c18,plain,member(skolem0004(skolem0001,skolem0003),skolem0001),inference(resolution,status(thm),[c16, c6])).
% 0.37/0.54 cnf(c20,plain,~subset(skolem0001,X21)|member(skolem0004(skolem0001,skolem0003),X21),inference(resolution,status(thm),[c18, c15])).
% 0.37/0.54 cnf(c23,plain,member(skolem0004(skolem0001,skolem0003),skolem0002),inference(resolution,status(thm),[c20, c4])).
% 0.37/0.54 cnf(c29,plain,~subset(skolem0002,X30)|member(skolem0004(skolem0001,skolem0003),X30),inference(resolution,status(thm),[c23, c15])).
% 0.37/0.54 cnf(c45,plain,member(skolem0004(skolem0001,skolem0003),skolem0003),inference(resolution,status(thm),[c29, c5])).
% 0.37/0.54 cnf(c47,plain,subset(skolem0001,skolem0003),inference(resolution,status(thm),[c45, c17])).
% 0.37/0.54 cnf(c59,plain,$false,inference(resolution,status(thm),[c47, c6])).
% 0.37/0.54 # SZS output end CNFRefutation
% 0.37/0.54
% 0.37/0.54 # Initial clauses : 7
% 0.37/0.54 # Processed clauses : 18
% 0.37/0.54 # Factors computed : 1
% 0.37/0.54 # Resolvents computed: 41
% 0.37/0.54 # Tautologies deleted: 0
% 0.37/0.54 # Forward subsumed : 7
% 0.37/0.54 # Backward subsumed : 0
% 0.37/0.54 # -------- CPU Time ---------
% 0.37/0.54 # User time : 0.187 s
% 0.37/0.54 # System time : 0.017 s
% 0.37/0.54 # Total time : 0.204 s
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