TSTP Solution File: SET590+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET590+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 04:38:45 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET590+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sat Jul 9 23:07:37 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.18/0.51 # Version: 1.3
% 0.18/0.51 # SZS status Theorem
% 0.18/0.51 # SZS output start CNFRefutation
% 0.18/0.51 fof(prove_th49,conjecture,(![B]:(![C]:subset(difference(B,C),B))),input).
% 0.18/0.51 fof(c0,negated_conjecture,(~(![B]:(![C]:subset(difference(B,C),B)))),inference(assume_negation,status(cth),[prove_th49])).
% 0.18/0.51 fof(c1,negated_conjecture,(?[B]:(?[C]:~subset(difference(B,C),B))),inference(fof_nnf,status(thm),[c0])).
% 0.18/0.51 fof(c2,negated_conjecture,(?[X2]:(?[X3]:~subset(difference(X2,X3),X2))),inference(variable_rename,status(thm),[c1])).
% 0.18/0.51 fof(c3,negated_conjecture,~subset(difference(skolem0001,skolem0002),skolem0001),inference(skolemize,status(esa),[c2])).
% 0.18/0.51 cnf(c4,negated_conjecture,~subset(difference(skolem0001,skolem0002),skolem0001),inference(split_conjunct,status(thm),[c3])).
% 0.18/0.51 fof(subset_defn,axiom,(![B]:(![C]:(subset(B,C)<=>(![D]:(member(D,B)=>member(D,C)))))),input).
% 0.18/0.51 fof(c7,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])).
% 0.18/0.51 fof(c8,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),[c7])).
% 0.18/0.51 fof(c9,axiom,((![X5]:(![X6]:(~subset(X5,X6)|(![X7]:(~member(X7,X5)|member(X7,X6))))))&(![X8]:(![X9]:((?[X10]:(member(X10,X8)&~member(X10,X9)))|subset(X8,X9))))),inference(variable_rename,status(thm),[c8])).
% 0.18/0.51 fof(c11,axiom,(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:((~subset(X5,X6)|(~member(X7,X5)|member(X7,X6)))&((member(skolem0003(X8,X9),X8)&~member(skolem0003(X8,X9),X9))|subset(X8,X9)))))))),inference(shift_quantors,status(thm),[fof(c10,axiom,((![X5]:(![X6]:(~subset(X5,X6)|(![X7]:(~member(X7,X5)|member(X7,X6))))))&(![X8]:(![X9]:((member(skolem0003(X8,X9),X8)&~member(skolem0003(X8,X9),X9))|subset(X8,X9))))),inference(skolemize,status(esa),[c9])).])).
% 0.18/0.51 fof(c12,axiom,(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:((~subset(X5,X6)|(~member(X7,X5)|member(X7,X6)))&((member(skolem0003(X8,X9),X8)|subset(X8,X9))&(~member(skolem0003(X8,X9),X9)|subset(X8,X9))))))))),inference(distribute,status(thm),[c11])).
% 0.18/0.51 cnf(c15,axiom,~member(skolem0003(X21,X20),X20)|subset(X21,X20),inference(split_conjunct,status(thm),[c12])).
% 0.18/0.51 fof(difference_defn,axiom,(![B]:(![C]:(![D]:(member(D,difference(B,C))<=>(member(D,B)&(~member(D,C))))))),input).
% 0.18/0.51 fof(c16,axiom,(![B]:(![C]:(![D]:(member(D,difference(B,C))<=>(member(D,B)&~member(D,C)))))),inference(fof_simplification,status(thm),[difference_defn])).
% 0.18/0.51 fof(c17,axiom,(![B]:(![C]:(![D]:((~member(D,difference(B,C))|(member(D,B)&~member(D,C)))&((~member(D,B)|member(D,C))|member(D,difference(B,C))))))),inference(fof_nnf,status(thm),[c16])).
% 0.18/0.51 fof(c18,axiom,((![B]:(![C]:(![D]:(~member(D,difference(B,C))|(member(D,B)&~member(D,C))))))&(![B]:(![C]:(![D]:((~member(D,B)|member(D,C))|member(D,difference(B,C))))))),inference(shift_quantors,status(thm),[c17])).
% 0.18/0.51 fof(c20,axiom,(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:((~member(X13,difference(X11,X12))|(member(X13,X11)&~member(X13,X12)))&((~member(X16,X14)|member(X16,X15))|member(X16,difference(X14,X15)))))))))),inference(shift_quantors,status(thm),[fof(c19,axiom,((![X11]:(![X12]:(![X13]:(~member(X13,difference(X11,X12))|(member(X13,X11)&~member(X13,X12))))))&(![X14]:(![X15]:(![X16]:((~member(X16,X14)|member(X16,X15))|member(X16,difference(X14,X15))))))),inference(variable_rename,status(thm),[c18])).])).
% 0.18/0.51 fof(c21,axiom,(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(((~member(X13,difference(X11,X12))|member(X13,X11))&(~member(X13,difference(X11,X12))|~member(X13,X12)))&((~member(X16,X14)|member(X16,X15))|member(X16,difference(X14,X15)))))))))),inference(distribute,status(thm),[c20])).
% 0.18/0.51 cnf(c22,axiom,~member(X27,difference(X26,X28))|member(X27,X26),inference(split_conjunct,status(thm),[c21])).
% 0.18/0.51 cnf(c14,axiom,member(skolem0003(X19,X18),X19)|subset(X19,X18),inference(split_conjunct,status(thm),[c12])).
% 0.18/0.51 cnf(c25,plain,member(skolem0003(difference(skolem0001,skolem0002),skolem0001),difference(skolem0001,skolem0002)),inference(resolution,status(thm),[c14, c4])).
% 0.18/0.51 cnf(c35,plain,member(skolem0003(difference(skolem0001,skolem0002),skolem0001),skolem0001),inference(resolution,status(thm),[c25, c22])).
% 0.18/0.51 cnf(c38,plain,subset(difference(skolem0001,skolem0002),skolem0001),inference(resolution,status(thm),[c35, c15])).
% 0.18/0.51 cnf(c41,plain,$false,inference(resolution,status(thm),[c38, c4])).
% 0.18/0.51 # SZS output end CNFRefutation
% 0.18/0.51
% 0.18/0.51 # Initial clauses : 8
% 0.18/0.51 # Processed clauses : 13
% 0.18/0.51 # Factors computed : 0
% 0.18/0.51 # Resolvents computed: 17
% 0.18/0.51 # Tautologies deleted: 0
% 0.18/0.51 # Forward subsumed : 2
% 0.18/0.51 # Backward subsumed : 0
% 0.18/0.51 # -------- CPU Time ---------
% 0.18/0.51 # User time : 0.164 s
% 0.18/0.51 # System time : 0.016 s
% 0.18/0.51 # Total time : 0.180 s
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