TSTP Solution File: SET573+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET573+3 : TPTP v8.1.0. 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 : 600s
% DateTime : Tue Jul 19 04:38:35 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET573+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 06:19:11 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.53 # Version: 1.3
% 0.20/0.53 # SZS status Theorem
% 0.20/0.53 # SZS output start CNFRefutation
% 0.20/0.53 fof(prove_th12,conjecture,(![B]:(![C]:(![D]:((member(B,C)&disjoint(C,D))=>(~member(B,D)))))),input).
% 0.20/0.53 fof(c0,negated_conjecture,(~(![B]:(![C]:(![D]:((member(B,C)&disjoint(C,D))=>(~member(B,D))))))),inference(assume_negation,status(cth),[prove_th12])).
% 0.20/0.53 fof(c1,negated_conjecture,(~(![B]:(![C]:(![D]:((member(B,C)&disjoint(C,D))=>~member(B,D)))))),inference(fof_simplification,status(thm),[c0])).
% 0.20/0.53 fof(c2,negated_conjecture,(?[B]:(?[C]:(?[D]:((member(B,C)&disjoint(C,D))&member(B,D))))),inference(fof_nnf,status(thm),[c1])).
% 0.20/0.53 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((member(X2,X3)&disjoint(X3,X4))&member(X2,X4))))),inference(variable_rename,status(thm),[c2])).
% 0.20/0.53 fof(c4,negated_conjecture,((member(skolem0001,skolem0002)&disjoint(skolem0002,skolem0003))&member(skolem0001,skolem0003)),inference(skolemize,status(esa),[c3])).
% 0.20/0.53 cnf(c6,negated_conjecture,disjoint(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 0.20/0.53 fof(disjoint_defn,axiom,(![B]:(![C]:(disjoint(B,C)<=>(~intersect(B,C))))),input).
% 0.20/0.53 fof(c11,axiom,(![B]:(![C]:(disjoint(B,C)<=>~intersect(B,C)))),inference(fof_simplification,status(thm),[disjoint_defn])).
% 0.20/0.53 fof(c12,axiom,(![B]:(![C]:((~disjoint(B,C)|~intersect(B,C))&(intersect(B,C)|disjoint(B,C))))),inference(fof_nnf,status(thm),[c11])).
% 0.20/0.53 fof(c13,axiom,((![B]:(![C]:(~disjoint(B,C)|~intersect(B,C))))&(![B]:(![C]:(intersect(B,C)|disjoint(B,C))))),inference(shift_quantors,status(thm),[c12])).
% 0.20/0.53 fof(c15,axiom,(![X7]:(![X8]:(![X9]:(![X10]:((~disjoint(X7,X8)|~intersect(X7,X8))&(intersect(X9,X10)|disjoint(X9,X10))))))),inference(shift_quantors,status(thm),[fof(c14,axiom,((![X7]:(![X8]:(~disjoint(X7,X8)|~intersect(X7,X8))))&(![X9]:(![X10]:(intersect(X9,X10)|disjoint(X9,X10))))),inference(variable_rename,status(thm),[c13])).])).
% 0.20/0.53 cnf(c16,axiom,~disjoint(X20,X19)|~intersect(X20,X19),inference(split_conjunct,status(thm),[c15])).
% 0.20/0.53 fof(symmetry_of_intersect,axiom,(![B]:(![C]:(intersect(B,C)=>intersect(C,B)))),input).
% 0.20/0.53 fof(c8,axiom,(![B]:(![C]:(~intersect(B,C)|intersect(C,B)))),inference(fof_nnf,status(thm),[symmetry_of_intersect])).
% 0.20/0.53 fof(c9,axiom,(![X5]:(![X6]:(~intersect(X5,X6)|intersect(X6,X5)))),inference(variable_rename,status(thm),[c8])).
% 0.20/0.53 cnf(c10,axiom,~intersect(X17,X18)|intersect(X18,X17),inference(split_conjunct,status(thm),[c9])).
% 0.20/0.53 cnf(c17,axiom,intersect(X21,X22)|disjoint(X21,X22),inference(split_conjunct,status(thm),[c15])).
% 0.20/0.53 cnf(c27,plain,disjoint(X23,X24)|intersect(X24,X23),inference(resolution,status(thm),[c17, c10])).
% 0.20/0.53 cnf(c30,plain,disjoint(X29,X30)|~disjoint(X30,X29),inference(resolution,status(thm),[c27, c16])).
% 0.20/0.53 cnf(c32,plain,disjoint(skolem0003,skolem0002),inference(resolution,status(thm),[c30, c6])).
% 0.20/0.53 cnf(c7,negated_conjecture,member(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 0.20/0.53 cnf(c5,negated_conjecture,member(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 0.20/0.53 fof(intersect_defn,axiom,(![B]:(![C]:(intersect(B,C)<=>(?[D]:(member(D,B)&member(D,C)))))),input).
% 0.20/0.53 fof(c18,axiom,(![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])).
% 0.20/0.53 fof(c19,axiom,((![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),[c18])).
% 0.20/0.53 fof(c20,axiom,((![X11]:(![X12]:(~intersect(X11,X12)|(?[X13]:(member(X13,X11)&member(X13,X12))))))&(![X14]:(![X15]:((![X16]:(~member(X16,X14)|~member(X16,X15)))|intersect(X14,X15))))),inference(variable_rename,status(thm),[c19])).
% 0.20/0.53 fof(c22,axiom,(![X11]:(![X12]:(![X14]:(![X15]:(![X16]:((~intersect(X11,X12)|(member(skolem0004(X11,X12),X11)&member(skolem0004(X11,X12),X12)))&((~member(X16,X14)|~member(X16,X15))|intersect(X14,X15)))))))),inference(shift_quantors,status(thm),[fof(c21,axiom,((![X11]:(![X12]:(~intersect(X11,X12)|(member(skolem0004(X11,X12),X11)&member(skolem0004(X11,X12),X12)))))&(![X14]:(![X15]:((![X16]:(~member(X16,X14)|~member(X16,X15)))|intersect(X14,X15))))),inference(skolemize,status(esa),[c20])).])).
% 0.20/0.53 fof(c23,axiom,(![X11]:(![X12]:(![X14]:(![X15]:(![X16]:(((~intersect(X11,X12)|member(skolem0004(X11,X12),X11))&(~intersect(X11,X12)|member(skolem0004(X11,X12),X12)))&((~member(X16,X14)|~member(X16,X15))|intersect(X14,X15)))))))),inference(distribute,status(thm),[c22])).
% 0.20/0.53 cnf(c26,axiom,~member(X41,X43)|~member(X41,X42)|intersect(X43,X42),inference(split_conjunct,status(thm),[c23])).
% 0.20/0.53 cnf(c40,plain,~member(skolem0001,X44)|intersect(X44,skolem0002),inference(resolution,status(thm),[c26, c5])).
% 0.20/0.53 cnf(c44,plain,intersect(skolem0003,skolem0002),inference(resolution,status(thm),[c40, c7])).
% 0.20/0.53 cnf(c51,plain,~disjoint(skolem0003,skolem0002),inference(resolution,status(thm),[c44, c16])).
% 0.20/0.53 cnf(c63,plain,$false,inference(resolution,status(thm),[c51, c32])).
% 0.20/0.53 # SZS output end CNFRefutation
% 0.20/0.53
% 0.20/0.53 # Initial clauses : 9
% 0.20/0.53 # Processed clauses : 20
% 0.20/0.53 # Factors computed : 0
% 0.20/0.53 # Resolvents computed: 41
% 0.20/0.53 # Tautologies deleted: 1
% 0.20/0.53 # Forward subsumed : 5
% 0.20/0.53 # Backward subsumed : 0
% 0.20/0.53 # -------- CPU Time ---------
% 0.20/0.53 # User time : 0.158 s
% 0.20/0.53 # System time : 0.020 s
% 0.20/0.53 # Total time : 0.178 s
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