TSTP Solution File: SET185+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET185+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 04:36:28 EDT 2022
% Result : Theorem 124.29s 124.52s
% Output : Refutation 124.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET185+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.32 % Computer : n005.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jul 10 10:42:07 EDT 2022
% 0.12/0.32 % CPUTime :
% 124.29/124.52 # Version: 1.3
% 124.29/124.52 # SZS status Theorem
% 124.29/124.52 # SZS output start CNFRefutation
% 124.29/124.52 fof(prove_subset_union,conjecture,(![B]:(![C]:(subset(B,C)=>union(B,C)=C))),input).
% 124.29/124.52 fof(c3,negated_conjecture,(~(![B]:(![C]:(subset(B,C)=>union(B,C)=C)))),inference(assume_negation,status(cth),[prove_subset_union])).
% 124.29/124.52 fof(c4,negated_conjecture,(?[B]:(?[C]:(subset(B,C)&union(B,C)!=C))),inference(fof_nnf,status(thm),[c3])).
% 124.29/124.52 fof(c5,negated_conjecture,(?[X2]:(?[X3]:(subset(X2,X3)&union(X2,X3)!=X3))),inference(variable_rename,status(thm),[c4])).
% 124.29/124.52 fof(c6,negated_conjecture,(subset(skolem0001,skolem0002)&union(skolem0001,skolem0002)!=skolem0002),inference(skolemize,status(esa),[c5])).
% 124.29/124.52 cnf(c8,negated_conjecture,union(skolem0001,skolem0002)!=skolem0002,inference(split_conjunct,status(thm),[c6])).
% 124.29/124.52 fof(equal_defn,axiom,(![B]:(![C]:(B=C<=>(subset(B,C)&subset(C,B))))),input).
% 124.29/124.52 fof(c23,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])).
% 124.29/124.52 fof(c24,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),[c23])).
% 124.29/124.52 fof(c26,axiom,(![X14]:(![X15]:(![X16]:(![X17]:((X14!=X15|(subset(X14,X15)&subset(X15,X14)))&((~subset(X16,X17)|~subset(X17,X16))|X16=X17)))))),inference(shift_quantors,status(thm),[fof(c25,axiom,((![X14]:(![X15]:(X14!=X15|(subset(X14,X15)&subset(X15,X14)))))&(![X16]:(![X17]:((~subset(X16,X17)|~subset(X17,X16))|X16=X17)))),inference(variable_rename,status(thm),[c24])).])).
% 124.29/124.52 fof(c27,axiom,(![X14]:(![X15]:(![X16]:(![X17]:(((X14!=X15|subset(X14,X15))&(X14!=X15|subset(X15,X14)))&((~subset(X16,X17)|~subset(X17,X16))|X16=X17)))))),inference(distribute,status(thm),[c26])).
% 124.29/124.52 cnf(c30,axiom,~subset(X83,X84)|~subset(X84,X83)|X83=X84,inference(split_conjunct,status(thm),[c27])).
% 124.29/124.52 fof(subset_defn,axiom,(![B]:(![C]:(subset(B,C)<=>(![D]:(member(D,B)=>member(D,C)))))),input).
% 124.29/124.52 fof(c31,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])).
% 124.29/124.52 fof(c32,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),[c31])).
% 124.29/124.52 fof(c33,axiom,((![X18]:(![X19]:(~subset(X18,X19)|(![X20]:(~member(X20,X18)|member(X20,X19))))))&(![X21]:(![X22]:((?[X23]:(member(X23,X21)&~member(X23,X22)))|subset(X21,X22))))),inference(variable_rename,status(thm),[c32])).
% 124.29/124.52 fof(c35,axiom,(![X18]:(![X19]:(![X20]:(![X21]:(![X22]:((~subset(X18,X19)|(~member(X20,X18)|member(X20,X19)))&((member(skolem0004(X21,X22),X21)&~member(skolem0004(X21,X22),X22))|subset(X21,X22)))))))),inference(shift_quantors,status(thm),[fof(c34,axiom,((![X18]:(![X19]:(~subset(X18,X19)|(![X20]:(~member(X20,X18)|member(X20,X19))))))&(![X21]:(![X22]:((member(skolem0004(X21,X22),X21)&~member(skolem0004(X21,X22),X22))|subset(X21,X22))))),inference(skolemize,status(esa),[c33])).])).
% 124.29/124.52 fof(c36,axiom,(![X18]:(![X19]:(![X20]:(![X21]:(![X22]:((~subset(X18,X19)|(~member(X20,X18)|member(X20,X19)))&((member(skolem0004(X21,X22),X21)|subset(X21,X22))&(~member(skolem0004(X21,X22),X22)|subset(X21,X22))))))))),inference(distribute,status(thm),[c35])).
% 124.29/124.52 cnf(c39,axiom,~member(skolem0004(X64,X65),X65)|subset(X64,X65),inference(split_conjunct,status(thm),[c36])).
% 124.29/124.52 cnf(c38,axiom,member(skolem0004(X62,X63),X62)|subset(X62,X63),inference(split_conjunct,status(thm),[c36])).
% 124.29/124.52 fof(union_defn,axiom,(![B]:(![C]:(![D]:(member(D,union(B,C))<=>(member(D,B)|member(D,C)))))),input).
% 124.29/124.52 fof(c40,axiom,(![B]:(![C]:(![D]:((~member(D,union(B,C))|(member(D,B)|member(D,C)))&((~member(D,B)&~member(D,C))|member(D,union(B,C))))))),inference(fof_nnf,status(thm),[union_defn])).
% 124.29/124.52 fof(c41,axiom,((![B]:(![C]:(![D]:(~member(D,union(B,C))|(member(D,B)|member(D,C))))))&(![B]:(![C]:(![D]:((~member(D,B)&~member(D,C))|member(D,union(B,C))))))),inference(shift_quantors,status(thm),[c40])).
% 124.29/124.52 fof(c43,axiom,(![X24]:(![X25]:(![X26]:(![X27]:(![X28]:(![X29]:((~member(X26,union(X24,X25))|(member(X26,X24)|member(X26,X25)))&((~member(X29,X27)&~member(X29,X28))|member(X29,union(X27,X28)))))))))),inference(shift_quantors,status(thm),[fof(c42,axiom,((![X24]:(![X25]:(![X26]:(~member(X26,union(X24,X25))|(member(X26,X24)|member(X26,X25))))))&(![X27]:(![X28]:(![X29]:((~member(X29,X27)&~member(X29,X28))|member(X29,union(X27,X28))))))),inference(variable_rename,status(thm),[c41])).])).
% 124.29/124.52 fof(c44,axiom,(![X24]:(![X25]:(![X26]:(![X27]:(![X28]:(![X29]:((~member(X26,union(X24,X25))|(member(X26,X24)|member(X26,X25)))&((~member(X29,X27)|member(X29,union(X27,X28)))&(~member(X29,X28)|member(X29,union(X27,X28))))))))))),inference(distribute,status(thm),[c43])).
% 124.29/124.52 cnf(c47,axiom,~member(X71,X72)|member(X71,union(X70,X72)),inference(split_conjunct,status(thm),[c44])).
% 124.29/124.52 cnf(c61,plain,member(skolem0004(X120,X119),union(X121,X120))|subset(X120,X119),inference(resolution,status(thm),[c47, c38])).
% 124.29/124.52 cnf(c120,plain,subset(X122,union(X123,X122)),inference(resolution,status(thm),[c61, c39])).
% 124.29/124.52 cnf(c131,plain,~subset(union(X144,X145),X145)|union(X144,X145)=X145,inference(resolution,status(thm),[c120, c30])).
% 124.29/124.52 cnf(c7,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c6])).
% 124.29/124.52 cnf(c37,axiom,~subset(X86,X87)|~member(X88,X86)|member(X88,X87),inference(split_conjunct,status(thm),[c36])).
% 124.29/124.52 cnf(c45,axiom,~member(X116,union(X114,X115))|member(X116,X114)|member(X116,X115),inference(split_conjunct,status(thm),[c44])).
% 124.29/124.52 cnf(c116,plain,member(skolem0004(union(X657,X656),X655),X657)|member(skolem0004(union(X657,X656),X655),X656)|subset(union(X657,X656),X655),inference(resolution,status(thm),[c45, c38])).
% 124.29/124.52 cnf(c1339,plain,member(skolem0004(union(X3665,X3664),X3664),X3665)|subset(union(X3665,X3664),X3664),inference(resolution,status(thm),[c116, c39])).
% 124.29/124.52 cnf(c22816,plain,member(skolem0004(union(X8074,X8073),X8073),X8074)|union(X8074,X8073)=X8073,inference(resolution,status(thm),[c1339, c131])).
% 124.29/124.52 cnf(c75644,plain,member(skolem0004(union(skolem0001,skolem0002),skolem0002),skolem0001),inference(resolution,status(thm),[c22816, c8])).
% 124.29/124.52 cnf(c75735,plain,~subset(skolem0001,X12421)|member(skolem0004(union(skolem0001,skolem0002),skolem0002),X12421),inference(resolution,status(thm),[c75644, c37])).
% 124.29/124.52 cnf(c140578,plain,member(skolem0004(union(skolem0001,skolem0002),skolem0002),skolem0002),inference(resolution,status(thm),[c75735, c7])).
% 124.29/124.52 cnf(c140731,plain,subset(union(skolem0001,skolem0002),skolem0002),inference(resolution,status(thm),[c140578, c39])).
% 124.29/124.52 cnf(c141096,plain,union(skolem0001,skolem0002)=skolem0002,inference(resolution,status(thm),[c140731, c131])).
% 124.29/124.52 cnf(c141291,plain,$false,inference(resolution,status(thm),[c141096, c8])).
% 124.29/124.52 # SZS output end CNFRefutation
% 124.29/124.52
% 124.29/124.52 # Initial clauses : 23
% 124.29/124.52 # Processed clauses : 1225
% 124.29/124.52 # Factors computed : 515
% 124.29/124.52 # Resolvents computed: 140794
% 124.29/124.52 # Tautologies deleted: 12
% 124.29/124.52 # Forward subsumed : 4009
% 124.29/124.52 # Backward subsumed : 23
% 124.29/124.52 # -------- CPU Time ---------
% 124.29/124.52 # User time : 123.824 s
% 124.29/124.52 # System time : 0.350 s
% 124.29/124.52 # Total time : 124.174 s
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