TSTP Solution File: SEU124+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU124+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 13:35:44 EDT 2022
% Result : Theorem 1.95s 2.19s
% Output : Refutation 1.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : SEU124+1 : TPTP v8.1.0. Released v3.3.0.
% 0.01/0.11 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.33 % Computer : n015.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 : Sun Jun 19 04:30:14 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.95/2.19 # Version: 1.3
% 1.95/2.19 # SZS status Theorem
% 1.95/2.19 # SZS output start CNFRefutation
% 1.95/2.19 fof(t7_xboole_1,conjecture,(![A]:(![B]:subset(A,set_union2(A,B)))),input).
% 1.95/2.19 fof(c7,negated_conjecture,(~(![A]:(![B]:subset(A,set_union2(A,B))))),inference(assume_negation,status(cth),[t7_xboole_1])).
% 1.95/2.19 fof(c8,negated_conjecture,(?[A]:(?[B]:~subset(A,set_union2(A,B)))),inference(fof_nnf,status(thm),[c7])).
% 1.95/2.19 fof(c9,negated_conjecture,(?[X4]:(?[X5]:~subset(X4,set_union2(X4,X5)))),inference(variable_rename,status(thm),[c8])).
% 1.95/2.19 fof(c10,negated_conjecture,~subset(skolem0001,set_union2(skolem0001,skolem0002)),inference(skolemize,status(esa),[c9])).
% 1.95/2.19 cnf(c11,negated_conjecture,~subset(skolem0001,set_union2(skolem0001,skolem0002)),inference(split_conjunct,status(thm),[c10])).
% 1.95/2.19 fof(d3_tarski,axiom,(![A]:(![B]:(subset(A,B)<=>(![C]:(in(C,A)=>in(C,B)))))),input).
% 1.95/2.19 fof(c48,axiom,(![A]:(![B]:((~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))&((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(fof_nnf,status(thm),[d3_tarski])).
% 1.95/2.19 fof(c49,axiom,((![A]:(![B]:(~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))))&(![A]:(![B]:((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(shift_quantors,status(thm),[c48])).
% 1.95/2.19 fof(c50,axiom,((![X18]:(![X19]:(~subset(X18,X19)|(![X20]:(~in(X20,X18)|in(X20,X19))))))&(![X21]:(![X22]:((?[X23]:(in(X23,X21)&~in(X23,X22)))|subset(X21,X22))))),inference(variable_rename,status(thm),[c49])).
% 1.95/2.19 fof(c52,axiom,(![X18]:(![X19]:(![X20]:(![X21]:(![X22]:((~subset(X18,X19)|(~in(X20,X18)|in(X20,X19)))&((in(skolem0005(X21,X22),X21)&~in(skolem0005(X21,X22),X22))|subset(X21,X22)))))))),inference(shift_quantors,status(thm),[fof(c51,axiom,((![X18]:(![X19]:(~subset(X18,X19)|(![X20]:(~in(X20,X18)|in(X20,X19))))))&(![X21]:(![X22]:((in(skolem0005(X21,X22),X21)&~in(skolem0005(X21,X22),X22))|subset(X21,X22))))),inference(skolemize,status(esa),[c50])).])).
% 1.95/2.19 fof(c53,axiom,(![X18]:(![X19]:(![X20]:(![X21]:(![X22]:((~subset(X18,X19)|(~in(X20,X18)|in(X20,X19)))&((in(skolem0005(X21,X22),X21)|subset(X21,X22))&(~in(skolem0005(X21,X22),X22)|subset(X21,X22))))))))),inference(distribute,status(thm),[c52])).
% 1.95/2.19 cnf(c56,axiom,~in(skolem0005(X97,X96),X96)|subset(X97,X96),inference(split_conjunct,status(thm),[c53])).
% 1.95/2.19 cnf(c55,axiom,in(skolem0005(X91,X90),X91)|subset(X91,X90),inference(split_conjunct,status(thm),[c53])).
% 1.95/2.19 cnf(reflexivity,axiom,X37=X37,eq_axiom).
% 1.95/2.19 fof(d2_xboole_0,axiom,(![A]:(![B]:(![C]:(C=set_union2(A,B)<=>(![D]:(in(D,C)<=>(in(D,A)|in(D,B)))))))),input).
% 1.95/2.19 fof(c57,axiom,(![A]:(![B]:(![C]:((C!=set_union2(A,B)|(![D]:((~in(D,C)|(in(D,A)|in(D,B)))&((~in(D,A)&~in(D,B))|in(D,C)))))&((?[D]:((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))|C=set_union2(A,B)))))),inference(fof_nnf,status(thm),[d2_xboole_0])).
% 1.95/2.19 fof(c58,axiom,((![A]:(![B]:(![C]:(C!=set_union2(A,B)|((![D]:(~in(D,C)|(in(D,A)|in(D,B))))&(![D]:((~in(D,A)&~in(D,B))|in(D,C))))))))&(![A]:(![B]:(![C]:((?[D]:((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))|C=set_union2(A,B)))))),inference(shift_quantors,status(thm),[c57])).
% 1.95/2.19 fof(c59,axiom,((![X24]:(![X25]:(![X26]:(X26!=set_union2(X24,X25)|((![X27]:(~in(X27,X26)|(in(X27,X24)|in(X27,X25))))&(![X28]:((~in(X28,X24)&~in(X28,X25))|in(X28,X26))))))))&(![X29]:(![X30]:(![X31]:((?[X32]:((~in(X32,X31)|(~in(X32,X29)&~in(X32,X30)))&(in(X32,X31)|(in(X32,X29)|in(X32,X30)))))|X31=set_union2(X29,X30)))))),inference(variable_rename,status(thm),[c58])).
% 1.95/2.19 fof(c61,axiom,(![X24]:(![X25]:(![X26]:(![X27]:(![X28]:(![X29]:(![X30]:(![X31]:((X26!=set_union2(X24,X25)|((~in(X27,X26)|(in(X27,X24)|in(X27,X25)))&((~in(X28,X24)&~in(X28,X25))|in(X28,X26))))&(((~in(skolem0006(X29,X30,X31),X31)|(~in(skolem0006(X29,X30,X31),X29)&~in(skolem0006(X29,X30,X31),X30)))&(in(skolem0006(X29,X30,X31),X31)|(in(skolem0006(X29,X30,X31),X29)|in(skolem0006(X29,X30,X31),X30))))|X31=set_union2(X29,X30))))))))))),inference(shift_quantors,status(thm),[fof(c60,axiom,((![X24]:(![X25]:(![X26]:(X26!=set_union2(X24,X25)|((![X27]:(~in(X27,X26)|(in(X27,X24)|in(X27,X25))))&(![X28]:((~in(X28,X24)&~in(X28,X25))|in(X28,X26))))))))&(![X29]:(![X30]:(![X31]:(((~in(skolem0006(X29,X30,X31),X31)|(~in(skolem0006(X29,X30,X31),X29)&~in(skolem0006(X29,X30,X31),X30)))&(in(skolem0006(X29,X30,X31),X31)|(in(skolem0006(X29,X30,X31),X29)|in(skolem0006(X29,X30,X31),X30))))|X31=set_union2(X29,X30)))))),inference(skolemize,status(esa),[c59])).])).
% 1.95/2.19 fof(c62,axiom,(![X24]:(![X25]:(![X26]:(![X27]:(![X28]:(![X29]:(![X30]:(![X31]:(((X26!=set_union2(X24,X25)|(~in(X27,X26)|(in(X27,X24)|in(X27,X25))))&((X26!=set_union2(X24,X25)|(~in(X28,X24)|in(X28,X26)))&(X26!=set_union2(X24,X25)|(~in(X28,X25)|in(X28,X26)))))&((((~in(skolem0006(X29,X30,X31),X31)|~in(skolem0006(X29,X30,X31),X29))|X31=set_union2(X29,X30))&((~in(skolem0006(X29,X30,X31),X31)|~in(skolem0006(X29,X30,X31),X30))|X31=set_union2(X29,X30)))&((in(skolem0006(X29,X30,X31),X31)|(in(skolem0006(X29,X30,X31),X29)|in(skolem0006(X29,X30,X31),X30)))|X31=set_union2(X29,X30)))))))))))),inference(distribute,status(thm),[c61])).
% 1.95/2.19 cnf(c64,axiom,X109!=set_union2(X112,X110)|~in(X111,X112)|in(X111,X109),inference(split_conjunct,status(thm),[c62])).
% 1.95/2.19 cnf(c170,plain,~in(X162,X161)|in(X162,set_union2(X161,X163)),inference(resolution,status(thm),[c64, reflexivity])).
% 1.95/2.19 cnf(c309,plain,in(skolem0005(X867,X865),set_union2(X867,X866))|subset(X867,X865),inference(resolution,status(thm),[c170, c55])).
% 1.95/2.19 cnf(c6593,plain,subset(X869,set_union2(X869,X868)),inference(resolution,status(thm),[c309, c56])).
% 1.95/2.19 cnf(c6602,plain,$false,inference(resolution,status(thm),[c6593, c11])).
% 1.95/2.19 # SZS output end CNFRefutation
% 1.95/2.19
% 1.95/2.19 # Initial clauses : 32
% 1.95/2.19 # Processed clauses : 284
% 1.95/2.19 # Factors computed : 43
% 1.95/2.19 # Resolvents computed: 6488
% 1.95/2.19 # Tautologies deleted: 19
% 1.95/2.19 # Forward subsumed : 610
% 1.95/2.19 # Backward subsumed : 14
% 1.95/2.19 # -------- CPU Time ---------
% 1.95/2.19 # User time : 1.829 s
% 1.95/2.19 # System time : 0.025 s
% 1.95/2.19 # Total time : 1.854 s
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