TSTP Solution File: SET574+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET574+3 : TPTP v8.1.0. 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 : 600s
% DateTime : Tue Jul 19 04:38:36 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET574+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jul 9 23:23:13 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.51 # Version: 1.3
% 0.19/0.51 # SZS status Theorem
% 0.19/0.51 # SZS output start CNFRefutation
% 0.19/0.51 fof(prove_th13,conjecture,(![B]:(![C]:(![D]:((member(B,C)&member(B,D))=>intersect(C,D))))),input).
% 0.19/0.51 fof(c0,negated_conjecture,(~(![B]:(![C]:(![D]:((member(B,C)&member(B,D))=>intersect(C,D)))))),inference(assume_negation,status(cth),[prove_th13])).
% 0.19/0.51 fof(c1,negated_conjecture,(?[B]:(?[C]:(?[D]:((member(B,C)&member(B,D))&~intersect(C,D))))),inference(fof_nnf,status(thm),[c0])).
% 0.19/0.51 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((member(X2,X3)&member(X2,X4))&~intersect(X3,X4))))),inference(variable_rename,status(thm),[c1])).
% 0.19/0.51 fof(c3,negated_conjecture,((member(skolem0001,skolem0002)&member(skolem0001,skolem0003))&~intersect(skolem0002,skolem0003)),inference(skolemize,status(esa),[c2])).
% 0.19/0.51 cnf(c6,negated_conjecture,~intersect(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c3])).
% 0.19/0.51 fof(symmetry_of_intersect,axiom,(![B]:(![C]:(intersect(B,C)=>intersect(C,B)))),input).
% 0.19/0.51 fof(c7,axiom,(![B]:(![C]:(~intersect(B,C)|intersect(C,B)))),inference(fof_nnf,status(thm),[symmetry_of_intersect])).
% 0.19/0.51 fof(c8,axiom,(![X5]:(![X6]:(~intersect(X5,X6)|intersect(X6,X5)))),inference(variable_rename,status(thm),[c7])).
% 0.19/0.51 cnf(c9,axiom,~intersect(X14,X13)|intersect(X13,X14),inference(split_conjunct,status(thm),[c8])).
% 0.19/0.51 cnf(c5,negated_conjecture,member(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c3])).
% 0.19/0.51 cnf(c4,negated_conjecture,member(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c3])).
% 0.19/0.51 fof(intersect_defn,axiom,(![B]:(![C]:(intersect(B,C)<=>(?[D]:(member(D,B)&member(D,C)))))),input).
% 0.19/0.51 fof(c10,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])).
% 0.19/0.51 fof(c11,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),[c10])).
% 0.19/0.51 fof(c12,axiom,((![X7]:(![X8]:(~intersect(X7,X8)|(?[X9]:(member(X9,X7)&member(X9,X8))))))&(![X10]:(![X11]:((![X12]:(~member(X12,X10)|~member(X12,X11)))|intersect(X10,X11))))),inference(variable_rename,status(thm),[c11])).
% 0.19/0.51 fof(c14,axiom,(![X7]:(![X8]:(![X10]:(![X11]:(![X12]:((~intersect(X7,X8)|(member(skolem0004(X7,X8),X7)&member(skolem0004(X7,X8),X8)))&((~member(X12,X10)|~member(X12,X11))|intersect(X10,X11)))))))),inference(shift_quantors,status(thm),[fof(c13,axiom,((![X7]:(![X8]:(~intersect(X7,X8)|(member(skolem0004(X7,X8),X7)&member(skolem0004(X7,X8),X8)))))&(![X10]:(![X11]:((![X12]:(~member(X12,X10)|~member(X12,X11)))|intersect(X10,X11))))),inference(skolemize,status(esa),[c12])).])).
% 0.19/0.51 fof(c15,axiom,(![X7]:(![X8]:(![X10]:(![X11]:(![X12]:(((~intersect(X7,X8)|member(skolem0004(X7,X8),X7))&(~intersect(X7,X8)|member(skolem0004(X7,X8),X8)))&((~member(X12,X10)|~member(X12,X11))|intersect(X10,X11)))))))),inference(distribute,status(thm),[c14])).
% 0.19/0.51 cnf(c18,axiom,~member(X20,X21)|~member(X20,X19)|intersect(X21,X19),inference(split_conjunct,status(thm),[c15])).
% 0.19/0.51 cnf(c19,plain,~member(skolem0001,X22)|intersect(X22,skolem0002),inference(resolution,status(thm),[c18, c4])).
% 0.19/0.51 cnf(c22,plain,intersect(skolem0003,skolem0002),inference(resolution,status(thm),[c19, c5])).
% 0.19/0.51 cnf(c26,plain,intersect(skolem0002,skolem0003),inference(resolution,status(thm),[c22, c9])).
% 0.19/0.51 cnf(c33,plain,$false,inference(resolution,status(thm),[c26, c6])).
% 0.19/0.51 # SZS output end CNFRefutation
% 0.19/0.51
% 0.19/0.51 # Initial clauses : 7
% 0.19/0.51 # Processed clauses : 12
% 0.19/0.51 # Factors computed : 0
% 0.19/0.51 # Resolvents computed: 16
% 0.19/0.51 # Tautologies deleted: 0
% 0.19/0.51 # Forward subsumed : 1
% 0.19/0.51 # Backward subsumed : 0
% 0.19/0.51 # -------- CPU Time ---------
% 0.19/0.51 # User time : 0.155 s
% 0.19/0.51 # System time : 0.018 s
% 0.19/0.51 # Total time : 0.173 s
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