TSTP Solution File: SET591+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET591+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 04:38:46 EDT 2022
% Result : Theorem 0.48s 0.64s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET591+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 12:43:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.48/0.64 # Version: 1.3
% 0.48/0.64 # SZS status Theorem
% 0.48/0.64 # SZS output start CNFRefutation
% 0.48/0.64 fof(prove_th50,conjecture,(![B]:(![C]:(subset(B,difference(C,B))=>B=empty_set))),input).
% 0.48/0.64 fof(c4,negated_conjecture,(~(![B]:(![C]:(subset(B,difference(C,B))=>B=empty_set)))),inference(assume_negation,status(cth),[prove_th50])).
% 0.48/0.64 fof(c5,negated_conjecture,(?[B]:(?[C]:(subset(B,difference(C,B))&B!=empty_set))),inference(fof_nnf,status(thm),[c4])).
% 0.48/0.64 fof(c6,negated_conjecture,(?[B]:((?[C]:subset(B,difference(C,B)))&B!=empty_set)),inference(shift_quantors,status(thm),[c5])).
% 0.48/0.64 fof(c7,negated_conjecture,(?[X2]:((?[X3]:subset(X2,difference(X3,X2)))&X2!=empty_set)),inference(variable_rename,status(thm),[c6])).
% 0.48/0.64 fof(c8,negated_conjecture,(subset(skolem0001,difference(skolem0002,skolem0001))&skolem0001!=empty_set),inference(skolemize,status(esa),[c7])).
% 0.48/0.64 cnf(c10,negated_conjecture,skolem0001!=empty_set,inference(split_conjunct,status(thm),[c8])).
% 0.48/0.64 fof(empty_defn,axiom,(![B]:(empty(B)<=>(![C]:(~member(C,B))))),input).
% 0.48/0.64 fof(c11,axiom,(![B]:(empty(B)<=>(![C]:~member(C,B)))),inference(fof_simplification,status(thm),[empty_defn])).
% 0.48/0.64 fof(c12,axiom,(![B]:((~empty(B)|(![C]:~member(C,B)))&((?[C]:member(C,B))|empty(B)))),inference(fof_nnf,status(thm),[c11])).
% 0.48/0.64 fof(c13,axiom,((![B]:(~empty(B)|(![C]:~member(C,B))))&(![B]:((?[C]:member(C,B))|empty(B)))),inference(shift_quantors,status(thm),[c12])).
% 0.48/0.64 fof(c14,axiom,((![X4]:(~empty(X4)|(![X5]:~member(X5,X4))))&(![X6]:((?[X7]:member(X7,X6))|empty(X6)))),inference(variable_rename,status(thm),[c13])).
% 0.48/0.64 fof(c16,axiom,(![X4]:(![X5]:(![X6]:((~empty(X4)|~member(X5,X4))&(member(skolem0003(X6),X6)|empty(X6)))))),inference(shift_quantors,status(thm),[fof(c15,axiom,((![X4]:(~empty(X4)|(![X5]:~member(X5,X4))))&(![X6]:(member(skolem0003(X6),X6)|empty(X6)))),inference(skolemize,status(esa),[c14])).])).
% 0.48/0.64 cnf(c18,axiom,member(skolem0003(X45),X45)|empty(X45),inference(split_conjunct,status(thm),[c16])).
% 0.48/0.64 cnf(c17,axiom,~empty(X29)|~member(X30,X29),inference(split_conjunct,status(thm),[c16])).
% 0.48/0.64 fof(subset_defn,axiom,(![B]:(![C]:(subset(B,C)<=>(![D]:(member(D,B)=>member(D,C)))))),input).
% 0.48/0.64 fof(c41,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])).
% 0.48/0.64 fof(c42,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),[c41])).
% 0.48/0.64 fof(c43,axiom,((![X20]:(![X21]:(~subset(X20,X21)|(![X22]:(~member(X22,X20)|member(X22,X21))))))&(![X23]:(![X24]:((?[X25]:(member(X25,X23)&~member(X25,X24)))|subset(X23,X24))))),inference(variable_rename,status(thm),[c42])).
% 0.48/0.64 fof(c45,axiom,(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:((~subset(X20,X21)|(~member(X22,X20)|member(X22,X21)))&((member(skolem0004(X23,X24),X23)&~member(skolem0004(X23,X24),X24))|subset(X23,X24)))))))),inference(shift_quantors,status(thm),[fof(c44,axiom,((![X20]:(![X21]:(~subset(X20,X21)|(![X22]:(~member(X22,X20)|member(X22,X21))))))&(![X23]:(![X24]:((member(skolem0004(X23,X24),X23)&~member(skolem0004(X23,X24),X24))|subset(X23,X24))))),inference(skolemize,status(esa),[c43])).])).
% 0.48/0.64 fof(c46,axiom,(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:((~subset(X20,X21)|(~member(X22,X20)|member(X22,X21)))&((member(skolem0004(X23,X24),X23)|subset(X23,X24))&(~member(skolem0004(X23,X24),X24)|subset(X23,X24))))))))),inference(distribute,status(thm),[c45])).
% 0.48/0.64 cnf(c48,axiom,member(skolem0004(X60,X61),X60)|subset(X60,X61),inference(split_conjunct,status(thm),[c46])).
% 0.48/0.64 cnf(c62,plain,subset(X67,X68)|~empty(X67),inference(resolution,status(thm),[c48, c17])).
% 0.48/0.64 cnf(c68,plain,subset(X70,X71)|member(skolem0003(X70),X70),inference(resolution,status(thm),[c62, c18])).
% 0.48/0.64 fof(empty_set_defn,axiom,(![B]:(~member(B,empty_set))),input).
% 0.48/0.64 fof(c29,axiom,(![B]:~member(B,empty_set)),inference(fof_simplification,status(thm),[empty_set_defn])).
% 0.48/0.64 fof(c30,axiom,(![X13]:~member(X13,empty_set)),inference(variable_rename,status(thm),[c29])).
% 0.48/0.64 cnf(c31,axiom,~member(X28,empty_set),inference(split_conjunct,status(thm),[c30])).
% 0.48/0.64 cnf(c63,plain,subset(empty_set,X66),inference(resolution,status(thm),[c48, c31])).
% 0.48/0.64 fof(equal_defn,axiom,(![B]:(![C]:(B=C<=>(subset(B,C)&subset(C,B))))),input).
% 0.48/0.64 fof(c21,axiom,(![B]:(![C]:((B!=C|(subset(B,C)&subset(C,B)))&((~subset(B,C)|~subset(C,B))|B=C)))),inference(fof_nnf,status(thm),[equal_defn])).
% 0.48/0.64 fof(c22,axiom,((![B]:(![C]:(B!=C|(subset(B,C)&subset(C,B)))))&(![B]:(![C]:((~subset(B,C)|~subset(C,B))|B=C)))),inference(shift_quantors,status(thm),[c21])).
% 0.48/0.64 fof(c24,axiom,(![X9]:(![X10]:(![X11]:(![X12]:((X9!=X10|(subset(X9,X10)&subset(X10,X9)))&((~subset(X11,X12)|~subset(X12,X11))|X11=X12)))))),inference(shift_quantors,status(thm),[fof(c23,axiom,((![X9]:(![X10]:(X9!=X10|(subset(X9,X10)&subset(X10,X9)))))&(![X11]:(![X12]:((~subset(X11,X12)|~subset(X12,X11))|X11=X12)))),inference(variable_rename,status(thm),[c22])).])).
% 0.48/0.64 fof(c25,axiom,(![X9]:(![X10]:(![X11]:(![X12]:(((X9!=X10|subset(X9,X10))&(X9!=X10|subset(X10,X9)))&((~subset(X11,X12)|~subset(X12,X11))|X11=X12)))))),inference(distribute,status(thm),[c24])).
% 0.48/0.64 cnf(c28,axiom,~subset(X83,X82)|~subset(X82,X83)|X83=X82,inference(split_conjunct,status(thm),[c25])).
% 0.48/0.64 cnf(c79,plain,~subset(X88,empty_set)|X88=empty_set,inference(resolution,status(thm),[c28, c63])).
% 0.48/0.64 cnf(c89,plain,X89=empty_set|member(skolem0003(X89),X89),inference(resolution,status(thm),[c79, c68])).
% 0.48/0.64 cnf(c93,plain,member(skolem0003(skolem0001),skolem0001),inference(resolution,status(thm),[c89, c10])).
% 0.48/0.64 fof(difference_defn,axiom,(![B]:(![C]:(![D]:(member(D,difference(B,C))<=>(member(D,B)&(~member(D,C))))))),input).
% 0.48/0.64 fof(c32,axiom,(![B]:(![C]:(![D]:(member(D,difference(B,C))<=>(member(D,B)&~member(D,C)))))),inference(fof_simplification,status(thm),[difference_defn])).
% 0.48/0.64 fof(c33,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),[c32])).
% 0.48/0.64 fof(c34,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),[c33])).
% 0.48/0.64 fof(c36,axiom,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:((~member(X16,difference(X14,X15))|(member(X16,X14)&~member(X16,X15)))&((~member(X19,X17)|member(X19,X18))|member(X19,difference(X17,X18)))))))))),inference(shift_quantors,status(thm),[fof(c35,axiom,((![X14]:(![X15]:(![X16]:(~member(X16,difference(X14,X15))|(member(X16,X14)&~member(X16,X15))))))&(![X17]:(![X18]:(![X19]:((~member(X19,X17)|member(X19,X18))|member(X19,difference(X17,X18))))))),inference(variable_rename,status(thm),[c34])).])).
% 0.48/0.64 fof(c37,axiom,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(((~member(X16,difference(X14,X15))|member(X16,X14))&(~member(X16,difference(X14,X15))|~member(X16,X15)))&((~member(X19,X17)|member(X19,X18))|member(X19,difference(X17,X18)))))))))),inference(distribute,status(thm),[c36])).
% 0.48/0.64 cnf(c39,axiom,~member(X59,difference(X58,X57))|~member(X59,X57),inference(split_conjunct,status(thm),[c37])).
% 0.48/0.64 cnf(c9,negated_conjecture,subset(skolem0001,difference(skolem0002,skolem0001)),inference(split_conjunct,status(thm),[c8])).
% 0.48/0.64 cnf(c47,axiom,~subset(X92,X91)|~member(X90,X92)|member(X90,X91),inference(split_conjunct,status(thm),[c46])).
% 0.48/0.64 cnf(c109,plain,~subset(skolem0001,X249)|member(skolem0003(skolem0001),X249),inference(resolution,status(thm),[c93, c47])).
% 0.48/0.64 cnf(c301,plain,member(skolem0003(skolem0001),difference(skolem0002,skolem0001)),inference(resolution,status(thm),[c109, c9])).
% 0.48/0.64 cnf(c556,plain,~member(skolem0003(skolem0001),skolem0001),inference(resolution,status(thm),[c301, c39])).
% 0.48/0.64 cnf(c570,plain,$false,inference(resolution,status(thm),[c556, c93])).
% 0.48/0.64 # SZS output end CNFRefutation
% 0.48/0.64
% 0.48/0.64 # Initial clauses : 22
% 0.48/0.64 # Processed clauses : 93
% 0.48/0.64 # Factors computed : 0
% 0.48/0.64 # Resolvents computed: 528
% 0.48/0.64 # Tautologies deleted: 3
% 0.48/0.64 # Forward subsumed : 105
% 0.48/0.64 # Backward subsumed : 1
% 0.48/0.64 # -------- CPU Time ---------
% 0.48/0.64 # User time : 0.294 s
% 0.48/0.64 # System time : 0.015 s
% 0.48/0.64 # Total time : 0.309 s
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