TSTP Solution File: SEU177+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU177+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 13:36:13 EDT 2022
% Result : Theorem 1.45s 1.69s
% Output : Refutation 1.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU177+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 07:03:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.45/1.69 # Version: 1.3
% 1.45/1.69 # SZS status Theorem
% 1.45/1.69 # SZS output start CNFRefutation
% 1.45/1.69 fof(t20_relat_1,conjecture,(![A]:(![B]:(![C]:(relation(C)=>(in(ordered_pair(A,B),C)=>(in(A,relation_dom(C))&in(B,relation_rng(C)))))))),input).
% 1.45/1.69 fof(c29,negated_conjecture,(~(![A]:(![B]:(![C]:(relation(C)=>(in(ordered_pair(A,B),C)=>(in(A,relation_dom(C))&in(B,relation_rng(C))))))))),inference(assume_negation,status(cth),[t20_relat_1])).
% 1.45/1.69 fof(c30,negated_conjecture,(?[A]:(?[B]:(?[C]:(relation(C)&(in(ordered_pair(A,B),C)&(~in(A,relation_dom(C))|~in(B,relation_rng(C)))))))),inference(fof_nnf,status(thm),[c29])).
% 1.45/1.69 fof(c31,negated_conjecture,(?[X22]:(?[X23]:(?[X24]:(relation(X24)&(in(ordered_pair(X22,X23),X24)&(~in(X22,relation_dom(X24))|~in(X23,relation_rng(X24)))))))),inference(variable_rename,status(thm),[c30])).
% 1.45/1.69 fof(c32,negated_conjecture,(relation(skolem0009)&(in(ordered_pair(skolem0007,skolem0008),skolem0009)&(~in(skolem0007,relation_dom(skolem0009))|~in(skolem0008,relation_rng(skolem0009))))),inference(skolemize,status(esa),[c31])).
% 1.45/1.69 cnf(c35,negated_conjecture,~in(skolem0007,relation_dom(skolem0009))|~in(skolem0008,relation_rng(skolem0009)),inference(split_conjunct,status(thm),[c32])).
% 1.45/1.69 cnf(c33,negated_conjecture,relation(skolem0009),inference(split_conjunct,status(thm),[c32])).
% 1.45/1.69 cnf(reflexivity,axiom,X50=X50,eq_axiom).
% 1.45/1.69 cnf(c34,negated_conjecture,in(ordered_pair(skolem0007,skolem0008),skolem0009),inference(split_conjunct,status(thm),[c32])).
% 1.45/1.69 fof(d5_relat_1,axiom,(![A]:(relation(A)=>(![B]:(B=relation_rng(A)<=>(![C]:(in(C,B)<=>(?[D]:in(ordered_pair(D,C),A)))))))),input).
% 1.45/1.69 fof(c9,axiom,(![A]:(~relation(A)|(![B]:((B!=relation_rng(A)|(![C]:((~in(C,B)|(?[D]:in(ordered_pair(D,C),A)))&((![D]:~in(ordered_pair(D,C),A))|in(C,B)))))&((?[C]:((~in(C,B)|(![D]:~in(ordered_pair(D,C),A)))&(in(C,B)|(?[D]:in(ordered_pair(D,C),A)))))|B=relation_rng(A)))))),inference(fof_nnf,status(thm),[d5_relat_1])).
% 1.45/1.69 fof(c10,axiom,(![A]:(~relation(A)|((![B]:(B!=relation_rng(A)|((![C]:(~in(C,B)|(?[D]:in(ordered_pair(D,C),A))))&(![C]:((![D]:~in(ordered_pair(D,C),A))|in(C,B))))))&(![B]:((?[C]:((~in(C,B)|(![D]:~in(ordered_pair(D,C),A)))&(in(C,B)|(?[D]:in(ordered_pair(D,C),A)))))|B=relation_rng(A)))))),inference(shift_quantors,status(thm),[c9])).
% 1.45/1.69 fof(c11,axiom,(![X2]:(~relation(X2)|((![X3]:(X3!=relation_rng(X2)|((![X4]:(~in(X4,X3)|(?[X5]:in(ordered_pair(X5,X4),X2))))&(![X6]:((![X7]:~in(ordered_pair(X7,X6),X2))|in(X6,X3))))))&(![X8]:((?[X9]:((~in(X9,X8)|(![X10]:~in(ordered_pair(X10,X9),X2)))&(in(X9,X8)|(?[X11]:in(ordered_pair(X11,X9),X2)))))|X8=relation_rng(X2)))))),inference(variable_rename,status(thm),[c10])).
% 1.45/1.69 fof(c13,axiom,(![X2]:(![X3]:(![X4]:(![X6]:(![X7]:(![X8]:(![X10]:(~relation(X2)|((X3!=relation_rng(X2)|((~in(X4,X3)|in(ordered_pair(skolem0001(X2,X3,X4),X4),X2))&(~in(ordered_pair(X7,X6),X2)|in(X6,X3))))&(((~in(skolem0002(X2,X8),X8)|~in(ordered_pair(X10,skolem0002(X2,X8)),X2))&(in(skolem0002(X2,X8),X8)|in(ordered_pair(skolem0003(X2,X8),skolem0002(X2,X8)),X2)))|X8=relation_rng(X2))))))))))),inference(shift_quantors,status(thm),[fof(c12,axiom,(![X2]:(~relation(X2)|((![X3]:(X3!=relation_rng(X2)|((![X4]:(~in(X4,X3)|in(ordered_pair(skolem0001(X2,X3,X4),X4),X2)))&(![X6]:((![X7]:~in(ordered_pair(X7,X6),X2))|in(X6,X3))))))&(![X8]:(((~in(skolem0002(X2,X8),X8)|(![X10]:~in(ordered_pair(X10,skolem0002(X2,X8)),X2)))&(in(skolem0002(X2,X8),X8)|in(ordered_pair(skolem0003(X2,X8),skolem0002(X2,X8)),X2)))|X8=relation_rng(X2)))))),inference(skolemize,status(esa),[c11])).])).
% 1.45/1.69 fof(c14,axiom,(![X2]:(![X3]:(![X4]:(![X6]:(![X7]:(![X8]:(![X10]:(((~relation(X2)|(X3!=relation_rng(X2)|(~in(X4,X3)|in(ordered_pair(skolem0001(X2,X3,X4),X4),X2))))&(~relation(X2)|(X3!=relation_rng(X2)|(~in(ordered_pair(X7,X6),X2)|in(X6,X3)))))&((~relation(X2)|((~in(skolem0002(X2,X8),X8)|~in(ordered_pair(X10,skolem0002(X2,X8)),X2))|X8=relation_rng(X2)))&(~relation(X2)|((in(skolem0002(X2,X8),X8)|in(ordered_pair(skolem0003(X2,X8),skolem0002(X2,X8)),X2))|X8=relation_rng(X2)))))))))))),inference(distribute,status(thm),[c13])).
% 1.45/1.69 cnf(c16,axiom,~relation(X111)|X112!=relation_rng(X111)|~in(ordered_pair(X113,X114),X111)|in(X114,X112),inference(split_conjunct,status(thm),[c14])).
% 1.45/1.69 cnf(c173,plain,~relation(skolem0009)|X229!=relation_rng(skolem0009)|in(skolem0008,X229),inference(resolution,status(thm),[c16, c34])).
% 1.45/1.69 cnf(c1065,plain,~relation(skolem0009)|in(skolem0008,relation_rng(skolem0009)),inference(resolution,status(thm),[c173, reflexivity])).
% 1.45/1.69 cnf(c2407,plain,in(skolem0008,relation_rng(skolem0009)),inference(resolution,status(thm),[c1065, c33])).
% 1.45/1.69 cnf(c2409,plain,~in(skolem0007,relation_dom(skolem0009)),inference(resolution,status(thm),[c2407, c35])).
% 1.45/1.69 fof(d4_relat_1,axiom,(![A]:(relation(A)=>(![B]:(B=relation_dom(A)<=>(![C]:(in(C,B)<=>(?[D]:in(ordered_pair(C,D),A)))))))),input).
% 1.45/1.69 fof(c19,axiom,(![A]:(~relation(A)|(![B]:((B!=relation_dom(A)|(![C]:((~in(C,B)|(?[D]:in(ordered_pair(C,D),A)))&((![D]:~in(ordered_pair(C,D),A))|in(C,B)))))&((?[C]:((~in(C,B)|(![D]:~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]:in(ordered_pair(C,D),A)))))|B=relation_dom(A)))))),inference(fof_nnf,status(thm),[d4_relat_1])).
% 1.45/1.69 fof(c20,axiom,(![A]:(~relation(A)|((![B]:(B!=relation_dom(A)|((![C]:(~in(C,B)|(?[D]:in(ordered_pair(C,D),A))))&(![C]:((![D]:~in(ordered_pair(C,D),A))|in(C,B))))))&(![B]:((?[C]:((~in(C,B)|(![D]:~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]:in(ordered_pair(C,D),A)))))|B=relation_dom(A)))))),inference(shift_quantors,status(thm),[c19])).
% 1.45/1.69 fof(c21,axiom,(![X12]:(~relation(X12)|((![X13]:(X13!=relation_dom(X12)|((![X14]:(~in(X14,X13)|(?[X15]:in(ordered_pair(X14,X15),X12))))&(![X16]:((![X17]:~in(ordered_pair(X16,X17),X12))|in(X16,X13))))))&(![X18]:((?[X19]:((~in(X19,X18)|(![X20]:~in(ordered_pair(X19,X20),X12)))&(in(X19,X18)|(?[X21]:in(ordered_pair(X19,X21),X12)))))|X18=relation_dom(X12)))))),inference(variable_rename,status(thm),[c20])).
% 1.45/1.69 fof(c23,axiom,(![X12]:(![X13]:(![X14]:(![X16]:(![X17]:(![X18]:(![X20]:(~relation(X12)|((X13!=relation_dom(X12)|((~in(X14,X13)|in(ordered_pair(X14,skolem0004(X12,X13,X14)),X12))&(~in(ordered_pair(X16,X17),X12)|in(X16,X13))))&(((~in(skolem0005(X12,X18),X18)|~in(ordered_pair(skolem0005(X12,X18),X20),X12))&(in(skolem0005(X12,X18),X18)|in(ordered_pair(skolem0005(X12,X18),skolem0006(X12,X18)),X12)))|X18=relation_dom(X12))))))))))),inference(shift_quantors,status(thm),[fof(c22,axiom,(![X12]:(~relation(X12)|((![X13]:(X13!=relation_dom(X12)|((![X14]:(~in(X14,X13)|in(ordered_pair(X14,skolem0004(X12,X13,X14)),X12)))&(![X16]:((![X17]:~in(ordered_pair(X16,X17),X12))|in(X16,X13))))))&(![X18]:(((~in(skolem0005(X12,X18),X18)|(![X20]:~in(ordered_pair(skolem0005(X12,X18),X20),X12)))&(in(skolem0005(X12,X18),X18)|in(ordered_pair(skolem0005(X12,X18),skolem0006(X12,X18)),X12)))|X18=relation_dom(X12)))))),inference(skolemize,status(esa),[c21])).])).
% 1.45/1.69 fof(c24,axiom,(![X12]:(![X13]:(![X14]:(![X16]:(![X17]:(![X18]:(![X20]:(((~relation(X12)|(X13!=relation_dom(X12)|(~in(X14,X13)|in(ordered_pair(X14,skolem0004(X12,X13,X14)),X12))))&(~relation(X12)|(X13!=relation_dom(X12)|(~in(ordered_pair(X16,X17),X12)|in(X16,X13)))))&((~relation(X12)|((~in(skolem0005(X12,X18),X18)|~in(ordered_pair(skolem0005(X12,X18),X20),X12))|X18=relation_dom(X12)))&(~relation(X12)|((in(skolem0005(X12,X18),X18)|in(ordered_pair(skolem0005(X12,X18),skolem0006(X12,X18)),X12))|X18=relation_dom(X12)))))))))))),inference(distribute,status(thm),[c23])).
% 1.45/1.69 cnf(c26,axiom,~relation(X131)|X129!=relation_dom(X131)|~in(ordered_pair(X128,X130),X131)|in(X128,X129),inference(split_conjunct,status(thm),[c24])).
% 1.45/1.69 cnf(c224,plain,~relation(skolem0009)|X360!=relation_dom(skolem0009)|in(skolem0007,X360),inference(resolution,status(thm),[c26, c34])).
% 1.45/1.69 cnf(c3201,plain,~relation(skolem0009)|in(skolem0007,relation_dom(skolem0009)),inference(resolution,status(thm),[c224, reflexivity])).
% 1.45/1.69 cnf(c3394,plain,in(skolem0007,relation_dom(skolem0009)),inference(resolution,status(thm),[c3201, c33])).
% 1.45/1.69 cnf(c3400,plain,$false,inference(resolution,status(thm),[c3394, c2409])).
% 1.45/1.69 # SZS output end CNFRefutation
% 1.45/1.69
% 1.45/1.69 # Initial clauses : 47
% 1.45/1.69 # Processed clauses : 264
% 1.45/1.69 # Factors computed : 0
% 1.45/1.69 # Resolvents computed: 3399
% 1.45/1.69 # Tautologies deleted: 4
% 1.45/1.69 # Forward subsumed : 188
% 1.45/1.69 # Backward subsumed : 5
% 1.45/1.69 # -------- CPU Time ---------
% 1.45/1.69 # User time : 1.326 s
% 1.45/1.69 # System time : 0.018 s
% 1.45/1.69 # Total time : 1.344 s
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