%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU190+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:21:56 PM UTC 2026
% Result : Theorem 9.30s 6.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU190+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/5.49 % Computer : n012.cluster.edu
% 0.03/5.49 % Model : x86_64 x86_64
% 0.03/5.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.49 % Memory : 8046.5625MB
% 0.03/5.49 % OS : Linux 6.8.0-71-generic
% 0.03/5.49 % CPULimit : 300
% 0.03/5.49 % WCLimit : 300
% 0.03/5.49 % DateTime : Mon Sep 21 05:56:20 UTC 2026
% 0.03/5.49 % CPUTime :
% 0.07/5.50 % Drodi V4.1.1
% 9.30/6.71 % Refutation found
% 9.30/6.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 9.30/6.71 % SZS output start CNFRefutation for theBenchmark
% 9.30/6.71 fof(f4,axiom,(
% 9.30/6.71 (! [A,B] :( relation(B)=> ( B = identity_relation(A)<=> (! [C,D] :( in(ordered_pair(C,D),B)<=> ( in(C,A)& C = D ) ) )) ) )),
% 9.30/6.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/6.71 fof(f5,axiom,(
% 9.30/6.71 (! [A] :( relation(A)=> (! [B] :( B = relation_dom(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(C,D),A) )) )) )) )),
% 9.30/6.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/6.71 fof(f6,axiom,(
% 9.30/6.71 (! [A] :( relation(A)=> (! [B] :( B = relation_rng(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(D,C),A) )) )) )) )),
% 9.30/6.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/6.71 fof(f14,axiom,(
% 9.30/6.71 (! [A] : relation(identity_relation(A)) )),
% 9.30/6.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/6.71 fof(f34,conjecture,(
% 9.30/6.71 (! [A] :( relation_dom(identity_relation(A)) = A& relation_rng(identity_relation(A)) = A ) )),
% 9.30/6.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/6.71 fof(f35,negated_conjecture,(
% 9.30/6.71 ~((! [A] :( relation_dom(identity_relation(A)) = A& relation_rng(identity_relation(A)) = A ) ))),
% 9.30/6.71 inference(negated_conjecture,[status(cth)],[f34])).
% 9.30/6.71 fof(f43,plain,(
% 9.30/6.71 ![A,B]: (~relation(B)|(B=identity_relation(A)<=>(![C,D]: (in(ordered_pair(C,D),B)<=>(in(C,A)&C=D)))))),
% 9.30/6.71 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 9.30/6.71 fof(f44,plain,(
% 9.30/6.71 ![A,B]: (~relation(B)|((~B=identity_relation(A)|(![C,D]: ((~in(ordered_pair(C,D),B)|(in(C,A)&C=D))&(in(ordered_pair(C,D),B)|(~in(C,A)|~C=D)))))&(B=identity_relation(A)|(?[C,D]: ((~in(ordered_pair(C,D),B)|(~in(C,A)|~C=D))&(in(ordered_pair(C,D),B)|(in(C,A)&C=D)))))))),
% 9.30/6.71 inference(NNF_transformation,[status(thm)],[f43])).
% 9.30/6.71 fof(f45,plain,(
% 9.30/6.71 ![B]: (~relation(B)|((![A]: (~B=identity_relation(A)|((![C,D]: (~in(ordered_pair(C,D),B)|(in(C,A)&C=D)))&(![C,D]: (in(ordered_pair(C,D),B)|(~in(C,A)|~C=D))))))&(![A]: (B=identity_relation(A)|(?[C,D]: ((~in(ordered_pair(C,D),B)|(~in(C,A)|~C=D))&(in(ordered_pair(C,D),B)|(in(C,A)&C=D))))))))),
% 9.30/6.71 inference(miniscoping,[status(thm)],[f44])).
% 9.30/6.71 fof(f46,plain,(
% 9.30/6.71 ![B]: (~relation(B)|((![A]: (~B=identity_relation(A)|((![C,D]: (~in(ordered_pair(C,D),B)|(in(C,A)&C=D)))&(![C,D]: (in(ordered_pair(C,D),B)|(~in(C,A)|~C=D))))))&(![A]: (B=identity_relation(A)|((~in(ordered_pair(sK0_skl(A,B),sK1_skl(A,B)),B)|(~in(sK0_skl(A,B),A)|~sK0_skl(A,B)=sK1_skl(A,B)))&(in(ordered_pair(sK0_skl(A,B),sK1_skl(A,B)),B)|(in(sK0_skl(A,B),A)&sK0_skl(A,B)=sK1_skl(A,B))))))))),
% 9.30/6.71 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(C,sK0_skl(A,B)),skolemize(D,sK1_skl(A,B))],[f45])).
% 9.30/6.71 fof(f47,plain,(
% 9.30/6.71 ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|~in(ordered_pair(X2,X3),X0)|in(X2,X1))),
% 9.30/6.71 inference(cnf_transformation,[status(thm)],[f46])).
% 9.30/6.71 fof(f48,plain,(
% 9.30/6.71 ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|~in(ordered_pair(X2,X3),X0)|X2=X3)),
% 9.30/6.71 inference(cnf_transformation,[status(thm)],[f46])).
% 9.30/6.71 fof(f49,plain,(
% 9.30/6.71 ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|in(ordered_pair(X2,X3),X0)|~in(X2,X1)|~X2=X3)),
% 9.30/6.71 inference(cnf_transformation,[status(thm)],[f46])).
% 9.30/6.71 fof(f53,plain,(
% 9.30/6.71 ![A]: (~relation(A)|(![B]: (B=relation_dom(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(C,D),A)))))))),
% 9.30/6.71 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 9.30/6.71 fof(f54,plain,(
% 9.30/6.71 ![A]: (~relation(A)|(![B]: ((~B=relation_dom(A)|(![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)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]: in(ordered_pair(C,D),A)))))))))),
% 9.30/6.71 inference(NNF_transformation,[status(thm)],[f53])).
% 9.30/6.71 fof(f55,plain,(
% 9.30/6.71 ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|(?[D]: in(ordered_pair(C,D),A))))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]: in(ordered_pair(C,D),A)))))))))),
% 9.30/6.71 inference(miniscoping,[status(thm)],[f54])).
% 9.30/6.71 fof(f56,plain,(
% 9.30/6.71 ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|in(ordered_pair(C,sK2_skl(C,B,A)),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|((~in(sK3_skl(B,A),B)|(![D]: ~in(ordered_pair(sK3_skl(B,A),D),A)))&(in(sK3_skl(B,A),B)|in(ordered_pair(sK3_skl(B,A),sK4_skl(B,A)),A)))))))),
% 9.30/6.71 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(D,sK2_skl(C,B,A)),skolemize(C,sK3_skl(B,A)),skolemize(D,sK4_skl(B,A))],[f55])).
% 9.30/6.71 fof(f59,plain,(
% 9.30/6.71 ![X0,X1,X2]: (~relation(X0)|X1=relation_dom(X0)|~in(sK3_skl(X1,X0),X1)|~in(ordered_pair(sK3_skl(X1,X0),X2),X0))),
% 9.30/6.71 inference(cnf_transformation,[status(thm)],[f56])).
% 9.30/6.71 fof(f60,plain,(
% 9.30/6.71 ![X0,X1]: (~relation(X0)|X1=relation_dom(X0)|in(sK3_skl(X1,X0),X1)|in(ordered_pair(sK3_skl(X1,X0),sK4_skl(X1,X0)),X0))),
% 9.30/6.71 inference(cnf_transformation,[status(thm)],[f56])).
% 9.30/6.71 fof(f61,plain,(
% 9.30/6.71 ![A]: (~relation(A)|(![B]: (B=relation_rng(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(D,C),A)))))))),
% 9.30/6.71 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 9.30/6.71 fof(f62,plain,(
% 9.30/6.71 ![A]: (~relation(A)|(![B]: ((~B=relation_rng(A)|(![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)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))&(in(C,B)|(?[D]: in(ordered_pair(D,C),A)))))))))),
% 9.30/6.71 inference(NNF_transformation,[status(thm)],[f61])).
% 9.30/6.71 fof(f63,plain,(
% 9.30/6.71 ![A]: (~relation(A)|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|(?[D]: in(ordered_pair(D,C),A))))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))))))&(![B]: (B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))&(in(C,B)|(?[D]: in(ordered_pair(D,C),A)))))))))),
% 9.30/6.71 inference(miniscoping,[status(thm)],[f62])).
% 9.30/6.71 fof(f64,plain,(
% 9.30/6.71 ![A]: (~relation(A)|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|in(ordered_pair(sK5_skl(C,B,A),C),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))))))&(![B]: (B=relation_rng(A)|((~in(sK6_skl(B,A),B)|(![D]: ~in(ordered_pair(D,sK6_skl(B,A)),A)))&(in(sK6_skl(B,A),B)|in(ordered_pair(sK7_skl(B,A),sK6_skl(B,A)),A)))))))),
% 9.30/6.71 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl,sK7_skl]),skolemize(D,sK5_skl(C,B,A)),skolemize(C,sK6_skl(B,A)),skolemize(D,sK7_skl(B,A))],[f63])).
% 9.30/6.71 fof(f67,plain,(
% 9.30/6.71 ![X0,X1,X2]: (~relation(X0)|X1=relation_rng(X0)|~in(sK6_skl(X1,X0),X1)|~in(ordered_pair(X2,sK6_skl(X1,X0)),X0))),
% 9.30/6.71 inference(cnf_transformation,[status(thm)],[f64])).
% 9.30/6.71 fof(f68,plain,(
% 9.30/6.71 ![X0,X1]: (~relation(X0)|X1=relation_rng(X0)|in(sK6_skl(X1,X0),X1)|in(ordered_pair(sK7_skl(X1,X0),sK6_skl(X1,X0)),X0))),
% 9.30/6.71 inference(cnf_transformation,[status(thm)],[f64])).
% 9.30/6.71 fof(f70,plain,(
% 9.30/6.71 ![X0]: (relation(identity_relation(X0)))),
% 9.30/6.71 inference(cnf_transformation,[status(thm)],[f14])).
% 9.30/6.71 fof(f110,plain,(
% 9.30/6.71 (?[A]: (~relation_dom(identity_relation(A))=A|~relation_rng(identity_relation(A))=A))),
% 9.30/6.71 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 9.30/6.71 fof(f111,plain,(
% 9.30/6.71 (?[A]: ~relation_dom(identity_relation(A))=A)|(?[A]: ~relation_rng(identity_relation(A))=A)),
% 9.30/6.71 inference(miniscoping,[status(thm)],[f110])).
% 9.30/6.71 fof(f112,plain,(
% 9.30/6.71 ~relation_dom(identity_relation(sK14_skl))=sK14_skl|~relation_rng(identity_relation(sK15_skl))=sK15_skl),
% 9.30/6.71 inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl]),skolemize(A,sK14_skl),skolemize(A,sK15_skl)],[f111])).
% 9.30/6.71 fof(f113,plain,(
% 9.30/6.71 ~relation_dom(identity_relation(sK14_skl))=sK14_skl|~relation_rng(identity_relation(sK15_skl))=sK15_skl),
% 9.30/6.71 inference(cnf_transformation,[status(thm)],[f112])).
% 9.30/6.71 fof(f120,definition,(
% 9.30/6.71 sQ0_spl <=> (relation_dom(identity_relation(sK14_skl))=sK14_skl)),
% 9.30/6.71 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 9.30/6.71 fof(f122,plain,(
% 9.30/6.71 ~relation_dom(identity_relation(sK14_skl))=sK14_skl|sQ0_spl),
% 9.30/6.71 inference(component_clause,[status(thm)],[f120])).
% 9.30/6.71 fof(f123,definition,(
% 9.30/6.71 sQ1_spl <=> (relation_rng(identity_relation(sK15_skl))=sK15_skl)),
% 9.30/6.71 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 9.30/6.71 fof(f125,plain,(
% 9.30/6.71 ~relation_rng(identity_relation(sK15_skl))=sK15_skl|sQ1_spl),
% 9.30/6.71 inference(component_clause,[status(thm)],[f123])).
% 9.30/6.71 fof(f126,plain,(
% 9.30/6.71 ~sQ0_spl|~sQ1_spl),
% 9.30/6.71 inference(split_clause,[status(thm)],[f113,f120,f123])).
% 9.30/6.71 fof(f127,plain,(
% 9.30/6.71 ![X0,X1,X2]: (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),identity_relation(X0))|in(X1,X0))),
% 9.30/6.71 inference(destructive_equality_resolution,[status(thm)],[f47])).
% 9.30/6.71 fof(f128,plain,(
% 9.30/6.71 ![X0,X1,X2]: (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),identity_relation(X0))|X1=X2)),
% 9.30/6.71 inference(destructive_equality_resolution,[status(thm)],[f48])).
% 9.30/6.71 fof(f129,plain,(
% 9.30/6.71 ![X0,X1]: (~relation(identity_relation(X0))|in(ordered_pair(X1,X1),identity_relation(X0))|~in(X1,X0))),
% 9.30/6.71 inference(destructive_equality_resolution,[status(thm)],[f49])).
% 9.30/6.71 fof(f134,plain,(
% 9.30/6.71 ![X0,X1]: (in(ordered_pair(X0,X0),identity_relation(X1))|~in(X0,X1))),
% 9.30/6.71 inference(backward_subsumption_resolution,[status(thm)],[f129,f70])).
% 9.30/6.71 fof(f135,plain,(
% 9.30/6.71 ![X0,X1,X2]: (~in(ordered_pair(X0,X1),identity_relation(X2))|X0=X1)),
% 9.30/6.71 inference(backward_subsumption_resolution,[status(thm)],[f128,f70])).
% 9.30/6.71 fof(f136,plain,(
% 9.30/6.71 ![X0,X1,X2]: (~in(ordered_pair(X0,X1),identity_relation(X2))|in(X0,X2))),
% 9.30/6.71 inference(backward_subsumption_resolution,[status(thm)],[f127,f70])).
% 9.30/6.71 fof(f217,plain,(
% 9.30/6.71 ![X0,X1]: (X0=relation_dom(identity_relation(X1))|in(sK3_skl(X0,identity_relation(X1)),X0)|in(ordered_pair(sK3_skl(X0,identity_relation(X1)),sK4_skl(X0,identity_relation(X1))),identity_relation(X1)))),
% 9.30/6.71 inference(resolution,[status(thm)],[f60,f70])).
% 9.30/6.71 fof(f263,plain,(
% 9.30/6.71 ![X0,X1]: (X0=relation_rng(identity_relation(X1))|in(sK6_skl(X0,identity_relation(X1)),X0)|in(ordered_pair(sK7_skl(X0,identity_relation(X1)),sK6_skl(X0,identity_relation(X1))),identity_relation(X1)))),
% 9.30/6.71 inference(resolution,[status(thm)],[f68,f70])).
% 9.30/6.71 fof(f290,plain,(
% 9.30/6.71 ![X0,X1]: (X0=relation_dom(identity_relation(X1))|in(sK3_skl(X0,identity_relation(X1)),X0)|in(sK3_skl(X0,identity_relation(X1)),X1))),
% 9.30/6.71 inference(resolution,[status(thm)],[f217,f136])).
% 9.30/6.71 fof(f300,plain,(
% 9.30/6.71 ![X0,X1]: (X0=relation_rng(identity_relation(X1))|in(sK6_skl(X0,identity_relation(X1)),X0)|in(sK7_skl(X0,identity_relation(X1)),X1))),
% 9.30/6.71 inference(resolution,[status(thm)],[f263,f136])).
% 9.30/6.71 fof(f301,plain,(
% 9.30/6.71 ![X0,X1]: (X0=relation_rng(identity_relation(X1))|in(sK6_skl(X0,identity_relation(X1)),X0)|sK7_skl(X0,identity_relation(X1))=sK6_skl(X0,identity_relation(X1)))),
% 9.30/6.71 inference(resolution,[status(thm)],[f263,f135])).
% 9.30/6.71 fof(f1127,plain,(
% 9.30/6.71 ![X0,X1]: (X0=relation_dom(identity_relation(X0))|~relation(identity_relation(X0))|X0=relation_dom(identity_relation(X0))|~in(ordered_pair(sK3_skl(X0,identity_relation(X0)),X1),identity_relation(X0)))),
% 9.30/6.71 inference(resolution,[status(thm)],[f290,f59])).
% 9.30/6.71 fof(f1139,plain,(
% 9.30/6.71 ![X0]: (X0=relation_dom(identity_relation(X0))|in(ordered_pair(sK3_skl(X0,identity_relation(X0)),sK3_skl(X0,identity_relation(X0))),identity_relation(X0)))),
% 9.30/6.71 inference(resolution,[status(thm)],[f290,f134])).
% 9.30/6.71 fof(f1154,plain,(
% 9.30/6.71 ![X0,X1]: (X0=relation_dom(identity_relation(X0))|~relation(identity_relation(X0))|~in(ordered_pair(sK3_skl(X0,identity_relation(X0)),X1),identity_relation(X0)))),
% 9.30/6.71 inference(duplicate_literals_removal,[status(thm)],[f1127])).
% 9.30/6.71 fof(f1155,plain,(
% 9.30/6.71 ![X0,X1]: (X0=relation_dom(identity_relation(X0))|~in(ordered_pair(sK3_skl(X0,identity_relation(X0)),X1),identity_relation(X0)))),
% 9.30/6.71 inference(forward_subsumption_resolution,[status(thm)],[f1154,f70])).
% 9.30/6.71 fof(f1164,plain,(
% 9.30/6.71 ~sK14_skl=sK14_skl|sQ0_spl),
% 9.30/6.71 inference(backward_demodulation,[status(thm)],[f1207,f122])).
% 9.30/6.71 fof(f1207,plain,(
% 9.30/6.71 ![X0]: (X0=relation_dom(identity_relation(X0)))),
% 9.30/6.71 inference(forward_subsumption_resolution,[status(thm)],[f1139,f1155])).
% 9.30/6.71 fof(f1219,plain,(
% 9.30/6.71 $false|sQ0_spl),
% 9.30/6.71 inference(trivial_equality_resolution,[status(thm)],[f1164])).
% 9.30/6.71 fof(f1220,plain,(
% 9.30/6.71 sQ0_spl),
% 9.30/6.71 inference(contradiction_clause,[status(thm)],[f1219])).
% 9.30/6.71 fof(f1252,plain,(
% 9.30/6.71 ![X0,X1]: (X0=relation_rng(identity_relation(X1))|in(sK6_skl(X0,identity_relation(X1)),X0)|in(ordered_pair(sK7_skl(X0,identity_relation(X1)),sK7_skl(X0,identity_relation(X1))),identity_relation(X1)))),
% 9.30/6.71 inference(resolution,[status(thm)],[f300,f134])).
% 9.30/6.71 fof(f1542,plain,(
% 9.30/6.71 ![X0,X1,X2]: (X0=relation_rng(identity_relation(X1))|sK7_skl(X0,identity_relation(X1))=sK6_skl(X0,identity_relation(X1))|~relation(identity_relation(X1))|X0=relation_rng(identity_relation(X1))|~in(ordered_pair(X2,sK6_skl(X0,identity_relation(X1))),identity_relation(X1)))),
% 9.30/6.73 inference(resolution,[status(thm)],[f301,f67])).
% 9.30/6.73 fof(f1548,plain,(
% 9.30/6.73 ![X0,X1]: (X0=relation_rng(identity_relation(X1))|sK7_skl(X0,identity_relation(X1))=sK6_skl(X0,identity_relation(X1))|in(ordered_pair(sK6_skl(X0,identity_relation(X1)),sK6_skl(X0,identity_relation(X1))),identity_relation(X0)))),
% 9.30/6.73 inference(resolution,[status(thm)],[f301,f134])).
% 9.30/6.73 fof(f1552,plain,(
% 9.30/6.73 ![X0,X1,X2]: (X0=relation_rng(identity_relation(X1))|sK7_skl(X0,identity_relation(X1))=sK6_skl(X0,identity_relation(X1))|~relation(identity_relation(X1))|~in(ordered_pair(X2,sK6_skl(X0,identity_relation(X1))),identity_relation(X1)))),
% 9.30/6.73 inference(duplicate_literals_removal,[status(thm)],[f1542])).
% 9.30/6.73 fof(f1553,plain,(
% 9.30/6.73 ![X0,X1,X2]: (X0=relation_rng(identity_relation(X1))|sK7_skl(X0,identity_relation(X1))=sK6_skl(X0,identity_relation(X1))|~in(ordered_pair(X2,sK6_skl(X0,identity_relation(X1))),identity_relation(X1)))),
% 9.30/6.73 inference(forward_subsumption_resolution,[status(thm)],[f1552,f70])).
% 9.30/6.73 fof(f7470,plain,(
% 9.30/6.73 ![X0]: (X0=relation_rng(identity_relation(X0))|sK7_skl(X0,identity_relation(X0))=sK6_skl(X0,identity_relation(X0))|X0=relation_rng(identity_relation(X0))|sK7_skl(X0,identity_relation(X0))=sK6_skl(X0,identity_relation(X0)))),
% 9.30/6.73 inference(resolution,[status(thm)],[f1548,f1553])).
% 9.30/6.73 fof(f7486,plain,(
% 9.30/6.73 ![X0]: (X0=relation_rng(identity_relation(X0))|sK7_skl(X0,identity_relation(X0))=sK6_skl(X0,identity_relation(X0)))),
% 9.30/6.73 inference(duplicate_literals_removal,[status(thm)],[f7470])).
% 9.30/6.73 fof(f7512,plain,(
% 9.30/6.73 ![X0]: (X0=relation_rng(identity_relation(X0))|in(sK6_skl(X0,identity_relation(X0)),X0)|in(ordered_pair(sK6_skl(X0,identity_relation(X0)),sK7_skl(X0,identity_relation(X0))),identity_relation(X0))|X0=relation_rng(identity_relation(X0)))),
% 9.30/6.73 inference(paramodulation,[status(thm)],[f7486,f1252])).
% 9.30/6.73 fof(f7543,plain,(
% 9.30/6.73 ![X0]: (X0=relation_rng(identity_relation(X0))|in(sK6_skl(X0,identity_relation(X0)),X0)|in(ordered_pair(sK6_skl(X0,identity_relation(X0)),sK7_skl(X0,identity_relation(X0))),identity_relation(X0)))),
% 9.30/6.73 inference(duplicate_literals_removal,[status(thm)],[f7512])).
% 9.30/6.73 fof(f7544,plain,(
% 9.30/6.73 ![X0]: (X0=relation_rng(identity_relation(X0))|in(sK6_skl(X0,identity_relation(X0)),X0))),
% 9.30/6.73 inference(forward_subsumption_resolution,[status(thm)],[f7543,f136])).
% 9.30/6.73 fof(f7561,plain,(
% 9.30/6.73 ![X0,X1]: (X0=relation_rng(identity_relation(X0))|~relation(identity_relation(X0))|X0=relation_rng(identity_relation(X0))|~in(ordered_pair(X1,sK6_skl(X0,identity_relation(X0))),identity_relation(X0)))),
% 9.30/6.73 inference(resolution,[status(thm)],[f7544,f67])).
% 9.30/6.73 fof(f7569,plain,(
% 9.30/6.73 ![X0]: (X0=relation_rng(identity_relation(X0))|in(ordered_pair(sK6_skl(X0,identity_relation(X0)),sK6_skl(X0,identity_relation(X0))),identity_relation(X0)))),
% 9.30/6.73 inference(resolution,[status(thm)],[f7544,f134])).
% 9.30/6.73 fof(f7573,plain,(
% 9.30/6.73 ![X0,X1]: (X0=relation_rng(identity_relation(X0))|~relation(identity_relation(X0))|~in(ordered_pair(X1,sK6_skl(X0,identity_relation(X0))),identity_relation(X0)))),
% 9.30/6.73 inference(duplicate_literals_removal,[status(thm)],[f7561])).
% 9.30/6.73 fof(f7574,plain,(
% 9.30/6.73 ![X0,X1]: (X0=relation_rng(identity_relation(X0))|~in(ordered_pair(X1,sK6_skl(X0,identity_relation(X0))),identity_relation(X0)))),
% 9.30/6.73 inference(forward_subsumption_resolution,[status(thm)],[f7573,f70])).
% 9.30/6.73 fof(f7591,plain,(
% 9.30/6.73 ~sK15_skl=sK15_skl|sQ1_spl),
% 9.30/6.73 inference(backward_demodulation,[status(thm)],[f7947,f125])).
% 9.30/6.73 fof(f7947,plain,(
% 9.30/6.73 ![X0]: (X0=relation_rng(identity_relation(X0)))),
% 9.30/6.73 inference(forward_subsumption_resolution,[status(thm)],[f7569,f7574])).
% 9.30/6.73 fof(f7957,plain,(
% 9.30/6.73 $false|sQ1_spl),
% 9.30/6.73 inference(trivial_equality_resolution,[status(thm)],[f7591])).
% 9.30/6.73 fof(f7958,plain,(
% 9.30/6.73 sQ1_spl),
% 9.30/6.73 inference(contradiction_clause,[status(thm)],[f7957])).
% 9.30/6.73 fof(f7959,plain,(
% 9.30/6.73 $false),
% 9.30/6.73 inference(sat_refutation,[status(thm)],[f126,f1220,f7958])).
% 9.30/6.73 % SZS output end CNFRefutation for theBenchmark.p
% 9.30/6.74 % Elapsed time: 1.240830 seconds
% 9.30/6.74 % CPU time: 9.665159 seconds
% 9.30/6.74 % Total memory used: 279.427 MB
% 9.30/6.74 % Net memory used: 266.629 MB
%------------------------------------------------------------------------------