TSTP Solution File: SEU208+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU208+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 : 300s
% DateTime : Wed May 31 12:36:15 EDT 2023
% Result : Theorem 2.98s 0.75s
% Output : CNFRefutation 3.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU208+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n032.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue May 30 09:11:45 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.30 % Drodi V3.5.1
% 2.98/0.75 % Refutation found
% 2.98/0.75 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.98/0.75 % SZS output start CNFRefutation for theBenchmark
% 2.98/0.75 fof(f1,axiom,(
% 2.98/0.75 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f3,axiom,(
% 2.98/0.75 (! [A] :( empty(A)=> relation(A) ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f5,axiom,(
% 2.98/0.75 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f6,axiom,(
% 2.98/0.75 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f7,axiom,(
% 2.98/0.75 (! [A,B] :( relation(B)=> ( B = identity_relation(A)<=> (! [C,D] :( in(ordered_pair(C,D),B)<=> ( in(C,A)& C = D ) ) )) ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f8,axiom,(
% 2.98/0.75 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f9,axiom,(
% 2.98/0.75 (! [A] :( relation(A)=> (! [B,C] :( relation(C)=> ( C = relation_dom_restriction(A,B)<=> (! [D,E] :( in(ordered_pair(D,E),C)<=> ( in(D,B)& in(ordered_pair(D,E),A) ) ) )) ) )) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f10,axiom,(
% 2.98/0.75 (! [A,B] :( relation(B)=> (! [C] :( relation(C)=> ( C = relation_rng_restriction(A,B)<=> (! [D,E] :( in(ordered_pair(D,E),C)<=> ( in(E,A)& in(ordered_pair(D,E),B) ) ) )) ) )) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f11,axiom,(
% 2.98/0.75 (! [A] :( relation(A)=> (! [B,C] :( C = relation_image(A,B)<=> (! [D] :( in(D,C)<=> (? [E] :( in(ordered_pair(E,D),A)& in(E,B) ) )) )) )) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f12,axiom,(
% 2.98/0.75 (! [A] :( relation(A)=> (! [B,C] :( C = relation_inverse_image(A,B)<=> (! [D] :( in(D,C)<=> (? [E] :( in(ordered_pair(D,E),A)& in(E,B) ) )) )) )) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f13,axiom,(
% 2.98/0.75 (! [A] :( relation(A)<=> (! [B] :~ ( in(B,A)& (! [C,D] : B != ordered_pair(C,D) )) )) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f15,axiom,(
% 2.98/0.75 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f16,axiom,(
% 2.98/0.75 (! [A] :( A = empty_set<=> (! [B] : ~ in(B,A) )) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f17,axiom,(
% 2.98/0.75 (! [A,B] :( B = powerset(A)<=> (! [C] :( in(C,B)<=> subset(C,A) ) )) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f18,axiom,(
% 2.98/0.75 (! [A] :( relation(A)=> (! [B] :( relation(B)=> ( A = B<=> (! [C,D] :( in(ordered_pair(C,D),A)<=> in(ordered_pair(C,D),B) ) )) ) )) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f30,axiom,(
% 2.98/0.75 (! [A] :( relation(A)=> (! [B] :( B = relation_rng(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(D,C),A) )) )) )) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f54,axiom,(
% 2.98/0.75 (! [A] :( relation(A)=> relation(relation_inverse(A)) ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f59,axiom,(
% 2.98/0.75 (! [A] : relation(identity_relation(A)) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f62,axiom,(
% 2.98/0.75 (! [A,B] :( relation(A)=> relation(relation_dom_restriction(A,B)) ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f64,axiom,(
% 2.98/0.75 (! [A,B] :( relation(B)=> relation(relation_rng_restriction(A,B)) ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f67,axiom,(
% 2.98/0.75 (! [A] :(? [B] : element(B,A) ))),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f71,axiom,(
% 2.98/0.75 empty(empty_set) ),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f78,axiom,(
% 2.98/0.75 ( empty(empty_set)& relation(empty_set) ) ),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f81,axiom,(
% 2.98/0.75 (! [A] :( ( ~ empty(A)& relation(A) )=> ~ empty(relation_rng(A)) ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f83,axiom,(
% 2.98/0.75 (! [A] :( empty(A)=> ( empty(relation_rng(A))& relation(relation_rng(A)) ) ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f85,axiom,(
% 2.98/0.75 (! [A,B] : set_union2(A,A) = A )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f86,axiom,(
% 2.98/0.75 (! [A,B] : set_intersection2(A,A) = A )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f88,axiom,(
% 2.98/0.75 (! [A] :( relation(A)=> relation_inverse(relation_inverse(A)) = A ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f96,lemma,(
% 2.98/0.75 (! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f103,axiom,(
% 2.98/0.75 (? [A] :( empty(A)& relation(A) ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f105,axiom,(
% 2.98/0.75 (? [A] : empty(A) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f106,axiom,(
% 2.98/0.75 (? [A] :( ~ empty(A)& relation(A) ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f107,axiom,(
% 2.98/0.75 (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f118,lemma,(
% 2.98/0.75 (! [A,B] :( relation(B)=> subset(relation_rng_restriction(A,B),B) ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f123,lemma,(
% 2.98/0.75 (! [A,B] :( subset(A,B)=> set_union2(A,B) = B ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f131,conjecture,(
% 2.98/0.75 (! [A,B,C] :( relation(C)=> ( in(A,relation_inverse_image(C,B))<=> (? [D] :( in(D,relation_rng(C))& in(ordered_pair(A,D),C)& in(D,B) ) )) ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f132,negated_conjecture,(
% 2.98/0.75 ~((! [A,B,C] :( relation(C)=> ( in(A,relation_inverse_image(C,B))<=> (? [D] :( in(D,relation_rng(C))& in(ordered_pair(A,D),C)& in(D,B) ) )) ) ))),
% 2.98/0.75 inference(negated_conjecture,[status(cth)],[f131])).
% 2.98/0.75 fof(f133,lemma,(
% 2.98/0.75 (! [A,B] : subset(set_intersection2(A,B),A) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f135,axiom,(
% 2.98/0.75 (! [A] : set_union2(A,empty_set) = A )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f138,lemma,(
% 2.98/0.75 powerset(empty_set) = singleton(empty_set) ),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f141,lemma,(
% 2.98/0.75 (! [A] :( relation(A)=> (! [B] :( relation(B)=> ( subset(A,B)=> ( subset(relation_dom(A),relation_dom(B))& subset(relation_rng(A),relation_rng(B)) ) ) ) )) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f143,lemma,(
% 2.98/0.75 (! [A,B] :( subset(A,B)=> set_intersection2(A,B) = A ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f144,axiom,(
% 2.98/0.75 (! [A] : set_intersection2(A,empty_set) = empty_set )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f147,lemma,(
% 2.98/0.75 (! [A] : subset(empty_set,A) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f151,lemma,(
% 2.98/0.75 (! [A,B] : subset(set_difference(A,B),A) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f159,axiom,(
% 2.98/0.75 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f161,lemma,(
% 2.98/0.75 (! [A] :( subset(A,empty_set)=> A = empty_set ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f174,axiom,(
% 2.98/0.75 (! [A] : set_difference(empty_set,A) = empty_set )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f181,lemma,(
% 2.98/0.75 ( relation_dom(empty_set) = empty_set& relation_rng(empty_set) = empty_set ) ),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f184,lemma,(
% 2.98/0.75 (! [A] :( relation(A)=> ( ( relation_dom(A) = empty_set| relation_rng(A) = empty_set )=> A = empty_set ) ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f188,axiom,(
% 2.98/0.75 (! [A] :( empty(A)=> A = empty_set ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f190,lemma,(
% 2.98/0.75 (! [A] :( relation_dom(identity_relation(A)) = A& relation_rng(identity_relation(A)) = A ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f193,lemma,(
% 2.98/0.75 (! [A,B] : subset(A,set_union2(A,B)) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f196,lemma,(
% 2.98/0.75 (! [A,B] :( relation(B)=> subset(relation_dom_restriction(B,A),B) ) )),
% 2.98/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.98/0.75 fof(f207,plain,(
% 2.98/0.75 ![A,B]: (~in(A,B)|~in(B,A))),
% 2.98/0.75 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 2.98/0.75 fof(f208,plain,(
% 2.98/0.75 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f207])).
% 2.98/0.75 fof(f211,plain,(
% 2.98/0.75 ![A]: (~empty(A)|relation(A))),
% 2.98/0.75 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 2.98/0.75 fof(f212,plain,(
% 2.98/0.75 ![X0]: (~empty(X0)|relation(X0))),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f211])).
% 2.98/0.75 fof(f214,plain,(
% 2.98/0.75 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f5])).
% 2.98/0.75 fof(f215,plain,(
% 2.98/0.75 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f6])).
% 2.98/0.75 fof(f216,plain,(
% 2.98/0.75 ![A,B]: (~relation(B)|(B=identity_relation(A)<=>(![C,D]: (in(ordered_pair(C,D),B)<=>(in(C,A)&C=D)))))),
% 2.98/0.75 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 2.98/0.75 fof(f217,plain,(
% 2.98/0.75 ![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)))))))),
% 2.98/0.75 inference(NNF_transformation,[status(esa)],[f216])).
% 2.98/0.75 fof(f218,plain,(
% 2.98/0.75 ![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))))))))),
% 2.98/0.75 inference(miniscoping,[status(esa)],[f217])).
% 2.98/0.75 fof(f219,plain,(
% 2.98/0.75 ![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_0(A,B),sk0_1(A,B)),B)|(~in(sk0_0(A,B),A)|~sk0_0(A,B)=sk0_1(A,B)))&(in(ordered_pair(sk0_0(A,B),sk0_1(A,B)),B)|(in(sk0_0(A,B),A)&sk0_0(A,B)=sk0_1(A,B))))))))),
% 2.98/0.75 inference(skolemization,[status(esa)],[f218])).
% 2.98/0.75 fof(f221,plain,(
% 2.98/0.75 ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|~in(ordered_pair(X2,X3),X0)|X2=X3)),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f219])).
% 2.98/0.75 fof(f222,plain,(
% 2.98/0.75 ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|in(ordered_pair(X2,X3),X0)|~in(X2,X1)|~X2=X3)),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f219])).
% 2.98/0.75 fof(f224,plain,(
% 2.98/0.75 ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|in(ordered_pair(sk0_0(X1,X0),sk0_1(X1,X0)),X0)|in(sk0_0(X1,X0),X1))),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f219])).
% 2.98/0.75 fof(f226,plain,(
% 2.98/0.75 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 2.98/0.75 inference(NNF_transformation,[status(esa)],[f8])).
% 2.98/0.75 fof(f227,plain,(
% 2.98/0.75 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 2.98/0.75 inference(miniscoping,[status(esa)],[f226])).
% 2.98/0.75 fof(f228,plain,(
% 2.98/0.75 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f227])).
% 2.98/0.75 fof(f231,plain,(
% 2.98/0.75 ![A]: (~relation(A)|(![B,C]: (~relation(C)|(C=relation_dom_restriction(A,B)<=>(![D,E]: (in(ordered_pair(D,E),C)<=>(in(D,B)&in(ordered_pair(D,E),A))))))))),
% 2.98/0.75 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 2.98/0.75 fof(f232,plain,(
% 2.98/0.75 ![A]: (~relation(A)|(![B,C]: (~relation(C)|((~C=relation_dom_restriction(A,B)|(![D,E]: ((~in(ordered_pair(D,E),C)|(in(D,B)&in(ordered_pair(D,E),A)))&(in(ordered_pair(D,E),C)|(~in(D,B)|~in(ordered_pair(D,E),A))))))&(C=relation_dom_restriction(A,B)|(?[D,E]: ((~in(ordered_pair(D,E),C)|(~in(D,B)|~in(ordered_pair(D,E),A)))&(in(ordered_pair(D,E),C)|(in(D,B)&in(ordered_pair(D,E),A))))))))))),
% 2.98/0.75 inference(NNF_transformation,[status(esa)],[f231])).
% 2.98/0.75 fof(f233,plain,(
% 2.98/0.75 ![A]: (~relation(A)|(![C]: (~relation(C)|((![B]: (~C=relation_dom_restriction(A,B)|((![D,E]: (~in(ordered_pair(D,E),C)|(in(D,B)&in(ordered_pair(D,E),A))))&(![D,E]: (in(ordered_pair(D,E),C)|(~in(D,B)|~in(ordered_pair(D,E),A)))))))&(![B]: (C=relation_dom_restriction(A,B)|(?[D,E]: ((~in(ordered_pair(D,E),C)|(~in(D,B)|~in(ordered_pair(D,E),A)))&(in(ordered_pair(D,E),C)|(in(D,B)&in(ordered_pair(D,E),A)))))))))))),
% 2.98/0.75 inference(miniscoping,[status(esa)],[f232])).
% 2.98/0.75 fof(f234,plain,(
% 2.98/0.75 ![A]: (~relation(A)|(![C]: (~relation(C)|((![B]: (~C=relation_dom_restriction(A,B)|((![D,E]: (~in(ordered_pair(D,E),C)|(in(D,B)&in(ordered_pair(D,E),A))))&(![D,E]: (in(ordered_pair(D,E),C)|(~in(D,B)|~in(ordered_pair(D,E),A)))))))&(![B]: (C=relation_dom_restriction(A,B)|((~in(ordered_pair(sk0_2(B,C,A),sk0_3(B,C,A)),C)|(~in(sk0_2(B,C,A),B)|~in(ordered_pair(sk0_2(B,C,A),sk0_3(B,C,A)),A)))&(in(ordered_pair(sk0_2(B,C,A),sk0_3(B,C,A)),C)|(in(sk0_2(B,C,A),B)&in(ordered_pair(sk0_2(B,C,A),sk0_3(B,C,A)),A))))))))))),
% 2.98/0.75 inference(skolemization,[status(esa)],[f233])).
% 2.98/0.75 fof(f238,plain,(
% 2.98/0.75 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_dom_restriction(X0,X2)|~in(ordered_pair(sk0_2(X2,X1,X0),sk0_3(X2,X1,X0)),X1)|~in(sk0_2(X2,X1,X0),X2)|~in(ordered_pair(sk0_2(X2,X1,X0),sk0_3(X2,X1,X0)),X0))),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f234])).
% 2.98/0.75 fof(f239,plain,(
% 2.98/0.75 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_dom_restriction(X0,X2)|in(ordered_pair(sk0_2(X2,X1,X0),sk0_3(X2,X1,X0)),X1)|in(sk0_2(X2,X1,X0),X2))),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f234])).
% 2.98/0.75 fof(f240,plain,(
% 2.98/0.75 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_dom_restriction(X0,X2)|in(ordered_pair(sk0_2(X2,X1,X0),sk0_3(X2,X1,X0)),X1)|in(ordered_pair(sk0_2(X2,X1,X0),sk0_3(X2,X1,X0)),X0))),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f234])).
% 2.98/0.75 fof(f241,plain,(
% 2.98/0.75 ![A,B]: (~relation(B)|(![C]: (~relation(C)|(C=relation_rng_restriction(A,B)<=>(![D,E]: (in(ordered_pair(D,E),C)<=>(in(E,A)&in(ordered_pair(D,E),B))))))))),
% 2.98/0.75 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 2.98/0.75 fof(f242,plain,(
% 2.98/0.75 ![A,B]: (~relation(B)|(![C]: (~relation(C)|((~C=relation_rng_restriction(A,B)|(![D,E]: ((~in(ordered_pair(D,E),C)|(in(E,A)&in(ordered_pair(D,E),B)))&(in(ordered_pair(D,E),C)|(~in(E,A)|~in(ordered_pair(D,E),B))))))&(C=relation_rng_restriction(A,B)|(?[D,E]: ((~in(ordered_pair(D,E),C)|(~in(E,A)|~in(ordered_pair(D,E),B)))&(in(ordered_pair(D,E),C)|(in(E,A)&in(ordered_pair(D,E),B))))))))))),
% 2.98/0.75 inference(NNF_transformation,[status(esa)],[f241])).
% 2.98/0.75 fof(f243,plain,(
% 2.98/0.75 ![B]: (~relation(B)|(![C]: (~relation(C)|((![A]: (~C=relation_rng_restriction(A,B)|((![D,E]: (~in(ordered_pair(D,E),C)|(in(E,A)&in(ordered_pair(D,E),B))))&(![D,E]: (in(ordered_pair(D,E),C)|(~in(E,A)|~in(ordered_pair(D,E),B)))))))&(![A]: (C=relation_rng_restriction(A,B)|(?[D,E]: ((~in(ordered_pair(D,E),C)|(~in(E,A)|~in(ordered_pair(D,E),B)))&(in(ordered_pair(D,E),C)|(in(E,A)&in(ordered_pair(D,E),B)))))))))))),
% 2.98/0.75 inference(miniscoping,[status(esa)],[f242])).
% 2.98/0.75 fof(f244,plain,(
% 2.98/0.75 ![B]: (~relation(B)|(![C]: (~relation(C)|((![A]: (~C=relation_rng_restriction(A,B)|((![D,E]: (~in(ordered_pair(D,E),C)|(in(E,A)&in(ordered_pair(D,E),B))))&(![D,E]: (in(ordered_pair(D,E),C)|(~in(E,A)|~in(ordered_pair(D,E),B)))))))&(![A]: (C=relation_rng_restriction(A,B)|((~in(ordered_pair(sk0_4(A,C,B),sk0_5(A,C,B)),C)|(~in(sk0_5(A,C,B),A)|~in(ordered_pair(sk0_4(A,C,B),sk0_5(A,C,B)),B)))&(in(ordered_pair(sk0_4(A,C,B),sk0_5(A,C,B)),C)|(in(sk0_5(A,C,B),A)&in(ordered_pair(sk0_4(A,C,B),sk0_5(A,C,B)),B))))))))))),
% 2.98/0.75 inference(skolemization,[status(esa)],[f243])).
% 2.98/0.75 fof(f248,plain,(
% 2.98/0.75 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_rng_restriction(X2,X0)|~in(ordered_pair(sk0_4(X2,X1,X0),sk0_5(X2,X1,X0)),X1)|~in(sk0_5(X2,X1,X0),X2)|~in(ordered_pair(sk0_4(X2,X1,X0),sk0_5(X2,X1,X0)),X0))),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f244])).
% 2.98/0.75 fof(f249,plain,(
% 2.98/0.75 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_rng_restriction(X2,X0)|in(ordered_pair(sk0_4(X2,X1,X0),sk0_5(X2,X1,X0)),X1)|in(sk0_5(X2,X1,X0),X2))),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f244])).
% 2.98/0.75 fof(f250,plain,(
% 2.98/0.75 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_rng_restriction(X2,X0)|in(ordered_pair(sk0_4(X2,X1,X0),sk0_5(X2,X1,X0)),X1)|in(ordered_pair(sk0_4(X2,X1,X0),sk0_5(X2,X1,X0)),X0))),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f244])).
% 2.98/0.75 fof(f251,plain,(
% 2.98/0.75 ![A]: (~relation(A)|(![B,C]: (C=relation_image(A,B)<=>(![D]: (in(D,C)<=>(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))))))),
% 2.98/0.75 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 2.98/0.75 fof(f252,plain,(
% 2.98/0.75 ![A]: (~relation(A)|(![B,C]: ((~C=relation_image(A,B)|(![D]: ((~in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))&(in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B)))))))&(C=relation_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))))))))),
% 2.98/0.75 inference(NNF_transformation,[status(esa)],[f251])).
% 2.98/0.75 fof(f253,plain,(
% 2.98/0.75 ![A]: (~relation(A)|((![B,C]: (~C=relation_image(A,B)|((![D]: (~in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B)))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))))))&(![B,C]: (C=relation_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))))))))),
% 2.98/0.75 inference(miniscoping,[status(esa)],[f252])).
% 2.98/0.75 fof(f254,plain,(
% 2.98/0.75 ![A]: (~relation(A)|((![B,C]: (~C=relation_image(A,B)|((![D]: (~in(D,C)|(in(ordered_pair(sk0_6(D,C,B,A),D),A)&in(sk0_6(D,C,B,A),B))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))))))&(![B,C]: (C=relation_image(A,B)|((~in(sk0_7(C,B,A),C)|(![E]: (~in(ordered_pair(E,sk0_7(C,B,A)),A)|~in(E,B))))&(in(sk0_7(C,B,A),C)|(in(ordered_pair(sk0_8(C,B,A),sk0_7(C,B,A)),A)&in(sk0_8(C,B,A),B))))))))),
% 2.98/0.75 inference(skolemization,[status(esa)],[f253])).
% 2.98/0.75 fof(f255,plain,(
% 2.98/0.75 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_image(X0,X2)|~in(X3,X1)|in(ordered_pair(sk0_6(X3,X1,X2,X0),X3),X0))),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f254])).
% 2.98/0.75 fof(f256,plain,(
% 2.98/0.75 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_image(X0,X2)|~in(X3,X1)|in(sk0_6(X3,X1,X2,X0),X2))),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f254])).
% 2.98/0.75 fof(f257,plain,(
% 2.98/0.75 ![X0,X1,X2,X3,X4]: (~relation(X0)|~X1=relation_image(X0,X2)|in(X3,X1)|~in(ordered_pair(X4,X3),X0)|~in(X4,X2))),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f254])).
% 2.98/0.75 fof(f259,plain,(
% 2.98/0.75 ![X0,X1,X2]: (~relation(X0)|X1=relation_image(X0,X2)|in(sk0_7(X1,X2,X0),X1)|in(ordered_pair(sk0_8(X1,X2,X0),sk0_7(X1,X2,X0)),X0))),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f254])).
% 2.98/0.75 fof(f261,plain,(
% 2.98/0.75 ![A]: (~relation(A)|(![B,C]: (C=relation_inverse_image(A,B)<=>(![D]: (in(D,C)<=>(?[E]: (in(ordered_pair(D,E),A)&in(E,B))))))))),
% 2.98/0.75 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 2.98/0.75 fof(f262,plain,(
% 2.98/0.75 ![A]: (~relation(A)|(![B,C]: ((~C=relation_inverse_image(A,B)|(![D]: ((~in(D,C)|(?[E]: (in(ordered_pair(D,E),A)&in(E,B))))&(in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B)))))))&(C=relation_inverse_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(D,E),A)&in(E,B))))))))))),
% 2.98/0.75 inference(NNF_transformation,[status(esa)],[f261])).
% 2.98/0.75 fof(f263,plain,(
% 2.98/0.75 ![A]: (~relation(A)|((![B,C]: (~C=relation_inverse_image(A,B)|((![D]: (~in(D,C)|(?[E]: (in(ordered_pair(D,E),A)&in(E,B)))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B))))))))&(![B,C]: (C=relation_inverse_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(D,E),A)&in(E,B))))))))))),
% 2.98/0.75 inference(miniscoping,[status(esa)],[f262])).
% 2.98/0.75 fof(f264,plain,(
% 2.98/0.75 ![A]: (~relation(A)|((![B,C]: (~C=relation_inverse_image(A,B)|((![D]: (~in(D,C)|(in(ordered_pair(D,sk0_9(D,C,B,A)),A)&in(sk0_9(D,C,B,A),B))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B))))))))&(![B,C]: (C=relation_inverse_image(A,B)|((~in(sk0_10(C,B,A),C)|(![E]: (~in(ordered_pair(sk0_10(C,B,A),E),A)|~in(E,B))))&(in(sk0_10(C,B,A),C)|(in(ordered_pair(sk0_10(C,B,A),sk0_11(C,B,A)),A)&in(sk0_11(C,B,A),B))))))))),
% 2.98/0.75 inference(skolemization,[status(esa)],[f263])).
% 2.98/0.75 fof(f265,plain,(
% 2.98/0.75 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_inverse_image(X0,X2)|~in(X3,X1)|in(ordered_pair(X3,sk0_9(X3,X1,X2,X0)),X0))),
% 2.98/0.75 inference(cnf_transformation,[status(esa)],[f264])).
% 2.98/0.75 fof(f266,plain,(
% 2.98/0.75 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_inverse_image(X0,X2)|~in(X3,X1)|in(sk0_9(X3,X1,X2,X0),X2))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f264])).
% 2.98/0.76 fof(f267,plain,(
% 2.98/0.76 ![X0,X1,X2,X3,X4]: (~relation(X0)|~X1=relation_inverse_image(X0,X2)|in(X3,X1)|~in(ordered_pair(X3,X4),X0)|~in(X4,X2))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f264])).
% 2.98/0.76 fof(f271,plain,(
% 2.98/0.76 ![A]: (relation(A)<=>(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D)))))),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 2.98/0.76 fof(f272,plain,(
% 2.98/0.76 ![A]: ((~relation(A)|(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D)))))&(relation(A)|(?[B]: (in(B,A)&(![C,D]: ~B=ordered_pair(C,D))))))),
% 2.98/0.76 inference(NNF_transformation,[status(esa)],[f271])).
% 2.98/0.76 fof(f273,plain,(
% 2.98/0.76 (![A]: (~relation(A)|(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D))))))&(![A]: (relation(A)|(?[B]: (in(B,A)&(![C,D]: ~B=ordered_pair(C,D))))))),
% 2.98/0.76 inference(miniscoping,[status(esa)],[f272])).
% 2.98/0.76 fof(f274,plain,(
% 2.98/0.76 (![A]: (~relation(A)|(![B]: (~in(B,A)|B=ordered_pair(sk0_12(B,A),sk0_13(B,A))))))&(![A]: (relation(A)|(in(sk0_14(A),A)&(![C,D]: ~sk0_14(A)=ordered_pair(C,D)))))),
% 2.98/0.76 inference(skolemization,[status(esa)],[f273])).
% 2.98/0.76 fof(f275,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|~in(X1,X0)|X1=ordered_pair(sk0_12(X1,X0),sk0_13(X1,X0)))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f274])).
% 2.98/0.76 fof(f290,plain,(
% 2.98/0.76 ![A,B]: ((~B=singleton(A)|(![C]: ((~in(C,B)|C=A)&(in(C,B)|~C=A))))&(B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 2.98/0.76 inference(NNF_transformation,[status(esa)],[f15])).
% 2.98/0.76 fof(f291,plain,(
% 2.98/0.76 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 2.98/0.76 inference(miniscoping,[status(esa)],[f290])).
% 2.98/0.76 fof(f292,plain,(
% 2.98/0.76 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|((~in(sk0_18(B,A),B)|~sk0_18(B,A)=A)&(in(sk0_18(B,A),B)|sk0_18(B,A)=A))))),
% 2.98/0.76 inference(skolemization,[status(esa)],[f291])).
% 2.98/0.76 fof(f293,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~X0=singleton(X1)|~in(X2,X0)|X2=X1)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f292])).
% 2.98/0.76 fof(f294,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~X0=singleton(X1)|in(X2,X0)|~X2=X1)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f292])).
% 2.98/0.76 fof(f297,plain,(
% 2.98/0.76 ![A]: ((~A=empty_set|(![B]: ~in(B,A)))&(A=empty_set|(?[B]: in(B,A))))),
% 2.98/0.76 inference(NNF_transformation,[status(esa)],[f16])).
% 2.98/0.76 fof(f298,plain,(
% 2.98/0.76 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|(?[B]: in(B,A))))),
% 2.98/0.76 inference(miniscoping,[status(esa)],[f297])).
% 2.98/0.76 fof(f299,plain,(
% 2.98/0.76 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|in(sk0_19(A),A)))),
% 2.98/0.76 inference(skolemization,[status(esa)],[f298])).
% 2.98/0.76 fof(f300,plain,(
% 2.98/0.76 ![X0,X1]: (~X0=empty_set|~in(X1,X0))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f299])).
% 2.98/0.76 fof(f301,plain,(
% 2.98/0.76 ![X0]: (X0=empty_set|in(sk0_19(X0),X0))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f299])).
% 2.98/0.76 fof(f302,plain,(
% 2.98/0.76 ![A,B]: ((~B=powerset(A)|(![C]: ((~in(C,B)|subset(C,A))&(in(C,B)|~subset(C,A)))))&(B=powerset(A)|(?[C]: ((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))))),
% 2.98/0.76 inference(NNF_transformation,[status(esa)],[f17])).
% 2.98/0.76 fof(f303,plain,(
% 2.98/0.76 (![A,B]: (~B=powerset(A)|((![C]: (~in(C,B)|subset(C,A)))&(![C]: (in(C,B)|~subset(C,A))))))&(![A,B]: (B=powerset(A)|(?[C]: ((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))))),
% 2.98/0.76 inference(miniscoping,[status(esa)],[f302])).
% 2.98/0.76 fof(f304,plain,(
% 2.98/0.76 (![A,B]: (~B=powerset(A)|((![C]: (~in(C,B)|subset(C,A)))&(![C]: (in(C,B)|~subset(C,A))))))&(![A,B]: (B=powerset(A)|((~in(sk0_20(B,A),B)|~subset(sk0_20(B,A),A))&(in(sk0_20(B,A),B)|subset(sk0_20(B,A),A)))))),
% 2.98/0.76 inference(skolemization,[status(esa)],[f303])).
% 2.98/0.76 fof(f305,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~X0=powerset(X1)|~in(X2,X0)|subset(X2,X1))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f304])).
% 2.98/0.76 fof(f309,plain,(
% 2.98/0.76 ![A]: (~relation(A)|(![B]: (~relation(B)|(A=B<=>(![C,D]: (in(ordered_pair(C,D),A)<=>in(ordered_pair(C,D),B)))))))),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 2.98/0.76 fof(f310,plain,(
% 2.98/0.76 ![A]: (~relation(A)|(![B]: (~relation(B)|((~A=B|(![C,D]: ((~in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B))&(in(ordered_pair(C,D),A)|~in(ordered_pair(C,D),B)))))&(A=B|(?[C,D]: ((~in(ordered_pair(C,D),A)|~in(ordered_pair(C,D),B))&(in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B)))))))))),
% 2.98/0.76 inference(NNF_transformation,[status(esa)],[f309])).
% 2.98/0.76 fof(f311,plain,(
% 2.98/0.76 ![A]: (~relation(A)|(![B]: (~relation(B)|((~A=B|((![C,D]: (~in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B)))&(![C,D]: (in(ordered_pair(C,D),A)|~in(ordered_pair(C,D),B)))))&(A=B|(?[C,D]: ((~in(ordered_pair(C,D),A)|~in(ordered_pair(C,D),B))&(in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B)))))))))),
% 2.98/0.76 inference(miniscoping,[status(esa)],[f310])).
% 2.98/0.76 fof(f312,plain,(
% 2.98/0.76 ![A]: (~relation(A)|(![B]: (~relation(B)|((~A=B|((![C,D]: (~in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B)))&(![C,D]: (in(ordered_pair(C,D),A)|~in(ordered_pair(C,D),B)))))&(A=B|((~in(ordered_pair(sk0_21(B,A),sk0_22(B,A)),A)|~in(ordered_pair(sk0_21(B,A),sk0_22(B,A)),B))&(in(ordered_pair(sk0_21(B,A),sk0_22(B,A)),A)|in(ordered_pair(sk0_21(B,A),sk0_22(B,A)),B))))))))),
% 2.98/0.76 inference(skolemization,[status(esa)],[f311])).
% 2.98/0.76 fof(f315,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|~relation(X1)|X0=X1|~in(ordered_pair(sk0_21(X1,X0),sk0_22(X1,X0)),X0)|~in(ordered_pair(sk0_21(X1,X0),sk0_22(X1,X0)),X1))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f312])).
% 2.98/0.76 fof(f400,plain,(
% 2.98/0.76 ![A]: (~relation(A)|(![B]: (B=relation_rng(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(D,C),A)))))))),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 2.98/0.76 fof(f401,plain,(
% 2.98/0.76 ![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)))))))))),
% 2.98/0.76 inference(NNF_transformation,[status(esa)],[f400])).
% 2.98/0.76 fof(f402,plain,(
% 2.98/0.76 ![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)))))))))),
% 2.98/0.76 inference(miniscoping,[status(esa)],[f401])).
% 2.98/0.76 fof(f403,plain,(
% 2.98/0.76 ![A]: (~relation(A)|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|in(ordered_pair(sk0_41(C,B,A),C),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))))))&(![B]: (B=relation_rng(A)|((~in(sk0_42(B,A),B)|(![D]: ~in(ordered_pair(D,sk0_42(B,A)),A)))&(in(sk0_42(B,A),B)|in(ordered_pair(sk0_43(B,A),sk0_42(B,A)),A)))))))),
% 2.98/0.76 inference(skolemization,[status(esa)],[f402])).
% 2.98/0.76 fof(f405,plain,(
% 2.98/0.76 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_rng(X0)|in(X2,X1)|~in(ordered_pair(X3,X2),X0))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f403])).
% 2.98/0.76 fof(f451,plain,(
% 2.98/0.76 ![A]: (~relation(A)|relation(relation_inverse(A)))),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 2.98/0.76 fof(f452,plain,(
% 2.98/0.76 ![X0]: (~relation(X0)|relation(relation_inverse(X0)))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f451])).
% 2.98/0.76 fof(f457,plain,(
% 2.98/0.76 ![X0]: (relation(identity_relation(X0)))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f59])).
% 2.98/0.76 fof(f462,plain,(
% 2.98/0.76 ![A,B]: (~relation(A)|relation(relation_dom_restriction(A,B)))),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f62])).
% 2.98/0.76 fof(f463,plain,(
% 2.98/0.76 ![A]: (~relation(A)|(![B]: relation(relation_dom_restriction(A,B))))),
% 2.98/0.76 inference(miniscoping,[status(esa)],[f462])).
% 2.98/0.76 fof(f464,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|relation(relation_dom_restriction(X0,X1)))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f463])).
% 2.98/0.76 fof(f467,plain,(
% 2.98/0.76 ![A,B]: (~relation(B)|relation(relation_rng_restriction(A,B)))),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f64])).
% 2.98/0.76 fof(f468,plain,(
% 2.98/0.76 ![B]: (~relation(B)|(![A]: relation(relation_rng_restriction(A,B))))),
% 2.98/0.76 inference(miniscoping,[status(esa)],[f467])).
% 2.98/0.76 fof(f469,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|relation(relation_rng_restriction(X1,X0)))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f468])).
% 2.98/0.76 fof(f470,plain,(
% 2.98/0.76 ![A]: element(sk0_51(A),A)),
% 2.98/0.76 inference(skolemization,[status(esa)],[f67])).
% 2.98/0.76 fof(f471,plain,(
% 2.98/0.76 ![X0]: (element(sk0_51(X0),X0))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f470])).
% 2.98/0.76 fof(f478,plain,(
% 2.98/0.76 empty(empty_set)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f71])).
% 2.98/0.76 fof(f491,plain,(
% 2.98/0.76 relation(empty_set)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f78])).
% 2.98/0.76 fof(f496,plain,(
% 2.98/0.76 ![A]: ((empty(A)|~relation(A))|~empty(relation_rng(A)))),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f81])).
% 2.98/0.76 fof(f497,plain,(
% 2.98/0.76 ![X0]: (empty(X0)|~relation(X0)|~empty(relation_rng(X0)))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f496])).
% 2.98/0.76 fof(f501,plain,(
% 2.98/0.76 ![A]: (~empty(A)|(empty(relation_rng(A))&relation(relation_rng(A))))),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 2.98/0.76 fof(f502,plain,(
% 2.98/0.76 ![X0]: (~empty(X0)|empty(relation_rng(X0)))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f501])).
% 2.98/0.76 fof(f503,plain,(
% 2.98/0.76 ![X0]: (~empty(X0)|relation(relation_rng(X0)))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f501])).
% 2.98/0.76 fof(f507,plain,(
% 2.98/0.76 ![A]: set_union2(A,A)=A),
% 2.98/0.76 inference(miniscoping,[status(esa)],[f85])).
% 2.98/0.76 fof(f508,plain,(
% 2.98/0.76 ![X0]: (set_union2(X0,X0)=X0)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f507])).
% 2.98/0.76 fof(f509,plain,(
% 2.98/0.76 ![A]: set_intersection2(A,A)=A),
% 2.98/0.76 inference(miniscoping,[status(esa)],[f86])).
% 2.98/0.76 fof(f510,plain,(
% 2.98/0.76 ![X0]: (set_intersection2(X0,X0)=X0)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f509])).
% 2.98/0.76 fof(f513,plain,(
% 2.98/0.76 ![A]: (~relation(A)|relation_inverse(relation_inverse(A))=A)),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f88])).
% 2.98/0.76 fof(f514,plain,(
% 2.98/0.76 ![X0]: (~relation(X0)|relation_inverse(relation_inverse(X0))=X0)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f513])).
% 2.98/0.76 fof(f530,plain,(
% 2.98/0.76 ![A,B]: ((~set_difference(A,B)=empty_set|subset(A,B))&(set_difference(A,B)=empty_set|~subset(A,B)))),
% 2.98/0.76 inference(NNF_transformation,[status(esa)],[f96])).
% 2.98/0.76 fof(f531,plain,(
% 2.98/0.76 (![A,B]: (~set_difference(A,B)=empty_set|subset(A,B)))&(![A,B]: (set_difference(A,B)=empty_set|~subset(A,B)))),
% 2.98/0.76 inference(miniscoping,[status(esa)],[f530])).
% 2.98/0.76 fof(f533,plain,(
% 2.98/0.76 ![X0,X1]: (set_difference(X0,X1)=empty_set|~subset(X0,X1))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f531])).
% 2.98/0.76 fof(f555,plain,(
% 2.98/0.76 (empty(sk0_53)&relation(sk0_53))),
% 2.98/0.76 inference(skolemization,[status(esa)],[f103])).
% 2.98/0.76 fof(f556,plain,(
% 2.98/0.76 empty(sk0_53)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f555])).
% 2.98/0.76 fof(f557,plain,(
% 2.98/0.76 relation(sk0_53)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f555])).
% 2.98/0.76 fof(f562,plain,(
% 2.98/0.76 empty(sk0_55)),
% 2.98/0.76 inference(skolemization,[status(esa)],[f105])).
% 2.98/0.76 fof(f563,plain,(
% 2.98/0.76 empty(sk0_55)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f562])).
% 2.98/0.76 fof(f564,plain,(
% 2.98/0.76 (~empty(sk0_56)&relation(sk0_56))),
% 2.98/0.76 inference(skolemization,[status(esa)],[f106])).
% 2.98/0.76 fof(f566,plain,(
% 2.98/0.76 relation(sk0_56)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f564])).
% 2.98/0.76 fof(f567,plain,(
% 2.98/0.76 ![A]: (element(sk0_57(A),powerset(A))&empty(sk0_57(A)))),
% 2.98/0.76 inference(skolemization,[status(esa)],[f107])).
% 2.98/0.76 fof(f569,plain,(
% 2.98/0.76 ![X0]: (empty(sk0_57(X0)))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f567])).
% 2.98/0.76 fof(f599,plain,(
% 2.98/0.76 ![A,B]: (~relation(B)|subset(relation_rng_restriction(A,B),B))),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f118])).
% 2.98/0.76 fof(f600,plain,(
% 2.98/0.76 ![B]: (~relation(B)|(![A]: subset(relation_rng_restriction(A,B),B)))),
% 2.98/0.76 inference(miniscoping,[status(esa)],[f599])).
% 2.98/0.76 fof(f601,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|subset(relation_rng_restriction(X1,X0),X0))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f600])).
% 2.98/0.76 fof(f614,plain,(
% 2.98/0.76 ![A,B]: (~subset(A,B)|set_union2(A,B)=B)),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f123])).
% 2.98/0.76 fof(f615,plain,(
% 2.98/0.76 ![X0,X1]: (~subset(X0,X1)|set_union2(X0,X1)=X1)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f614])).
% 2.98/0.76 fof(f644,plain,(
% 2.98/0.76 (?[A,B,C]: (relation(C)&(in(A,relation_inverse_image(C,B))<~>(?[D]: ((in(D,relation_rng(C))&in(ordered_pair(A,D),C))&in(D,B))))))),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f132])).
% 2.98/0.76 fof(f645,plain,(
% 2.98/0.76 ?[A,B,C]: (relation(C)&((in(A,relation_inverse_image(C,B))|(?[D]: ((in(D,relation_rng(C))&in(ordered_pair(A,D),C))&in(D,B))))&(~in(A,relation_inverse_image(C,B))|(![D]: ((~in(D,relation_rng(C))|~in(ordered_pair(A,D),C))|~in(D,B))))))),
% 2.98/0.76 inference(NNF_transformation,[status(esa)],[f644])).
% 2.98/0.76 fof(f646,plain,(
% 2.98/0.76 ?[C]: (relation(C)&(?[A,B]: ((in(A,relation_inverse_image(C,B))|(?[D]: ((in(D,relation_rng(C))&in(ordered_pair(A,D),C))&in(D,B))))&(~in(A,relation_inverse_image(C,B))|(![D]: ((~in(D,relation_rng(C))|~in(ordered_pair(A,D),C))|~in(D,B)))))))),
% 2.98/0.76 inference(miniscoping,[status(esa)],[f645])).
% 2.98/0.76 fof(f647,plain,(
% 2.98/0.76 (relation(sk0_61)&((in(sk0_62,relation_inverse_image(sk0_61,sk0_63))|((in(sk0_64,relation_rng(sk0_61))&in(ordered_pair(sk0_62,sk0_64),sk0_61))&in(sk0_64,sk0_63)))&(~in(sk0_62,relation_inverse_image(sk0_61,sk0_63))|(![D]: ((~in(D,relation_rng(sk0_61))|~in(ordered_pair(sk0_62,D),sk0_61))|~in(D,sk0_63))))))),
% 2.98/0.76 inference(skolemization,[status(esa)],[f646])).
% 2.98/0.76 fof(f648,plain,(
% 2.98/0.76 relation(sk0_61)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f647])).
% 2.98/0.76 fof(f650,plain,(
% 2.98/0.76 in(sk0_62,relation_inverse_image(sk0_61,sk0_63))|in(ordered_pair(sk0_62,sk0_64),sk0_61)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f647])).
% 2.98/0.76 fof(f651,plain,(
% 2.98/0.76 in(sk0_62,relation_inverse_image(sk0_61,sk0_63))|in(sk0_64,sk0_63)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f647])).
% 2.98/0.76 fof(f652,plain,(
% 2.98/0.76 ![X0]: (~in(sk0_62,relation_inverse_image(sk0_61,sk0_63))|~in(X0,relation_rng(sk0_61))|~in(ordered_pair(sk0_62,X0),sk0_61)|~in(X0,sk0_63))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f647])).
% 2.98/0.76 fof(f653,plain,(
% 2.98/0.76 ![X0,X1]: (subset(set_intersection2(X0,X1),X0))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f133])).
% 2.98/0.76 fof(f656,plain,(
% 2.98/0.76 ![X0]: (set_union2(X0,empty_set)=X0)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f135])).
% 2.98/0.76 fof(f662,plain,(
% 2.98/0.76 powerset(empty_set)=singleton(empty_set)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f138])).
% 2.98/0.76 fof(f669,plain,(
% 2.98/0.76 ![A]: (~relation(A)|(![B]: (~relation(B)|(~subset(A,B)|(subset(relation_dom(A),relation_dom(B))&subset(relation_rng(A),relation_rng(B)))))))),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f141])).
% 2.98/0.76 fof(f671,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|~relation(X1)|~subset(X0,X1)|subset(relation_rng(X0),relation_rng(X1)))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f669])).
% 2.98/0.76 fof(f675,plain,(
% 2.98/0.76 ![A,B]: (~subset(A,B)|set_intersection2(A,B)=A)),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f143])).
% 2.98/0.76 fof(f676,plain,(
% 2.98/0.76 ![X0,X1]: (~subset(X0,X1)|set_intersection2(X0,X1)=X0)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f675])).
% 2.98/0.76 fof(f677,plain,(
% 2.98/0.76 ![X0]: (set_intersection2(X0,empty_set)=empty_set)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f144])).
% 2.98/0.76 fof(f685,plain,(
% 2.98/0.76 ![X0]: (subset(empty_set,X0))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f147])).
% 2.98/0.76 fof(f696,plain,(
% 2.98/0.76 ![X0,X1]: (subset(set_difference(X0,X1),X0))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f151])).
% 2.98/0.76 fof(f720,plain,(
% 2.98/0.76 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 2.98/0.76 inference(NNF_transformation,[status(esa)],[f159])).
% 2.98/0.76 fof(f721,plain,(
% 2.98/0.76 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 2.98/0.76 inference(miniscoping,[status(esa)],[f720])).
% 2.98/0.76 fof(f722,plain,(
% 2.98/0.76 ![X0,X1]: (~element(X0,powerset(X1))|subset(X0,X1))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f721])).
% 2.98/0.76 fof(f730,plain,(
% 2.98/0.76 ![A]: (~subset(A,empty_set)|A=empty_set)),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f161])).
% 2.98/0.76 fof(f731,plain,(
% 2.98/0.76 ![X0]: (~subset(X0,empty_set)|X0=empty_set)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f730])).
% 2.98/0.76 fof(f756,plain,(
% 2.98/0.76 ![X0]: (set_difference(empty_set,X0)=empty_set)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f174])).
% 2.98/0.76 fof(f777,plain,(
% 2.98/0.76 relation_rng(empty_set)=empty_set),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f181])).
% 2.98/0.76 fof(f783,plain,(
% 2.98/0.76 ![A]: (~relation(A)|((~relation_dom(A)=empty_set&~relation_rng(A)=empty_set)|A=empty_set))),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f184])).
% 2.98/0.76 fof(f785,plain,(
% 2.98/0.76 ![X0]: (~relation(X0)|~relation_rng(X0)=empty_set|X0=empty_set)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f783])).
% 2.98/0.76 fof(f795,plain,(
% 2.98/0.76 ![A]: (~empty(A)|A=empty_set)),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f188])).
% 2.98/0.76 fof(f796,plain,(
% 2.98/0.76 ![X0]: (~empty(X0)|X0=empty_set)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f795])).
% 2.98/0.76 fof(f799,plain,(
% 2.98/0.76 (![A]: relation_dom(identity_relation(A))=A)&(![A]: relation_rng(identity_relation(A))=A)),
% 2.98/0.76 inference(miniscoping,[status(esa)],[f190])).
% 2.98/0.76 fof(f801,plain,(
% 2.98/0.76 ![X0]: (relation_rng(identity_relation(X0))=X0)),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f799])).
% 2.98/0.76 fof(f811,plain,(
% 2.98/0.76 ![X0,X1]: (subset(X0,set_union2(X0,X1)))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f193])).
% 2.98/0.76 fof(f822,plain,(
% 2.98/0.76 ![A,B]: (~relation(B)|subset(relation_dom_restriction(B,A),B))),
% 2.98/0.76 inference(pre_NNF_transformation,[status(esa)],[f196])).
% 2.98/0.76 fof(f823,plain,(
% 2.98/0.76 ![B]: (~relation(B)|(![A]: subset(relation_dom_restriction(B,A),B)))),
% 2.98/0.76 inference(miniscoping,[status(esa)],[f822])).
% 2.98/0.76 fof(f824,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|subset(relation_dom_restriction(X0,X1),X0))),
% 2.98/0.76 inference(cnf_transformation,[status(esa)],[f823])).
% 2.98/0.76 fof(f862,plain,(
% 2.98/0.76 spl0_0 <=> in(sk0_62,relation_inverse_image(sk0_61,sk0_63))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f863,plain,(
% 2.98/0.76 in(sk0_62,relation_inverse_image(sk0_61,sk0_63))|~spl0_0),
% 2.98/0.76 inference(component_clause,[status(thm)],[f862])).
% 2.98/0.76 fof(f864,plain,(
% 2.98/0.76 ~in(sk0_62,relation_inverse_image(sk0_61,sk0_63))|spl0_0),
% 2.98/0.76 inference(component_clause,[status(thm)],[f862])).
% 2.98/0.76 fof(f869,plain,(
% 2.98/0.76 spl0_2 <=> in(ordered_pair(sk0_62,sk0_64),sk0_61)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f870,plain,(
% 2.98/0.76 in(ordered_pair(sk0_62,sk0_64),sk0_61)|~spl0_2),
% 2.98/0.76 inference(component_clause,[status(thm)],[f869])).
% 2.98/0.76 fof(f872,plain,(
% 2.98/0.76 spl0_0|spl0_2),
% 2.98/0.76 inference(split_clause,[status(thm)],[f650,f862,f869])).
% 2.98/0.76 fof(f873,plain,(
% 2.98/0.76 spl0_3 <=> in(sk0_64,sk0_63)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f876,plain,(
% 2.98/0.76 spl0_0|spl0_3),
% 2.98/0.76 inference(split_clause,[status(thm)],[f651,f862,f873])).
% 2.98/0.76 fof(f877,plain,(
% 2.98/0.76 spl0_4 <=> ~in(X0,relation_rng(sk0_61))|~in(ordered_pair(sk0_62,X0),sk0_61)|~in(X0,sk0_63)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f878,plain,(
% 2.98/0.76 ![X0]: (~in(X0,relation_rng(sk0_61))|~in(ordered_pair(sk0_62,X0),sk0_61)|~in(X0,sk0_63)|~spl0_4)),
% 2.98/0.76 inference(component_clause,[status(thm)],[f877])).
% 2.98/0.76 fof(f880,plain,(
% 2.98/0.76 ~spl0_0|spl0_4),
% 2.98/0.76 inference(split_clause,[status(thm)],[f652,f862,f877])).
% 2.98/0.76 fof(f882,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),identity_relation(X0))|X1=X2)),
% 2.98/0.76 inference(destructive_equality_resolution,[status(esa)],[f221])).
% 2.98/0.76 fof(f883,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(identity_relation(X0))|in(ordered_pair(X1,X1),identity_relation(X0))|~in(X1,X0))),
% 2.98/0.76 inference(destructive_equality_resolution,[status(esa)],[f222])).
% 2.98/0.76 fof(f884,plain,(
% 2.98/0.76 ![X0]: (subset(X0,X0))),
% 2.98/0.76 inference(destructive_equality_resolution,[status(esa)],[f228])).
% 2.98/0.76 fof(f892,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_image(X0,X2))|in(ordered_pair(sk0_6(X1,relation_image(X0,X2),X2,X0),X1),X0))),
% 2.98/0.76 inference(destructive_equality_resolution,[status(esa)],[f255])).
% 2.98/0.76 fof(f893,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_image(X0,X2))|in(sk0_6(X1,relation_image(X0,X2),X2,X0),X2))),
% 2.98/0.76 inference(destructive_equality_resolution,[status(esa)],[f256])).
% 2.98/0.76 fof(f894,plain,(
% 2.98/0.76 ![X0,X1,X2,X3]: (~relation(X0)|in(X1,relation_image(X0,X2))|~in(ordered_pair(X3,X1),X0)|~in(X3,X2))),
% 2.98/0.76 inference(destructive_equality_resolution,[status(esa)],[f257])).
% 2.98/0.76 fof(f895,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_inverse_image(X0,X2))|in(ordered_pair(X1,sk0_9(X1,relation_inverse_image(X0,X2),X2,X0)),X0))),
% 2.98/0.76 inference(destructive_equality_resolution,[status(esa)],[f265])).
% 2.98/0.76 fof(f896,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_inverse_image(X0,X2))|in(sk0_9(X1,relation_inverse_image(X0,X2),X2,X0),X2))),
% 2.98/0.76 inference(destructive_equality_resolution,[status(esa)],[f266])).
% 2.98/0.76 fof(f897,plain,(
% 2.98/0.76 ![X0,X1,X2,X3]: (~relation(X0)|in(X1,relation_inverse_image(X0,X2))|~in(ordered_pair(X1,X3),X0)|~in(X3,X2))),
% 2.98/0.76 inference(destructive_equality_resolution,[status(esa)],[f267])).
% 2.98/0.76 fof(f903,plain,(
% 2.98/0.76 ![X0,X1]: (~in(X0,singleton(X1))|X0=X1)),
% 2.98/0.76 inference(destructive_equality_resolution,[status(esa)],[f293])).
% 2.98/0.76 fof(f904,plain,(
% 2.98/0.76 ![X0]: (in(X0,singleton(X0)))),
% 2.98/0.76 inference(destructive_equality_resolution,[status(esa)],[f294])).
% 2.98/0.76 fof(f905,plain,(
% 2.98/0.76 ![X0]: (~in(X0,empty_set))),
% 2.98/0.76 inference(destructive_equality_resolution,[status(esa)],[f300])).
% 2.98/0.76 fof(f906,plain,(
% 2.98/0.76 ![X0,X1]: (~in(X0,powerset(X1))|subset(X0,X1))),
% 2.98/0.76 inference(destructive_equality_resolution,[status(esa)],[f305])).
% 2.98/0.76 fof(f928,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_rng(X0))|~in(ordered_pair(X2,X1),X0))),
% 2.98/0.76 inference(destructive_equality_resolution,[status(esa)],[f405])).
% 2.98/0.76 fof(f942,plain,(
% 2.98/0.76 spl0_5 <=> empty(empty_set)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f944,plain,(
% 2.98/0.76 ~empty(empty_set)|spl0_5),
% 2.98/0.76 inference(component_clause,[status(thm)],[f942])).
% 2.98/0.76 fof(f945,plain,(
% 2.98/0.76 spl0_6 <=> relation(empty_set)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f947,plain,(
% 2.98/0.76 ~relation(empty_set)|spl0_6),
% 2.98/0.76 inference(component_clause,[status(thm)],[f945])).
% 2.98/0.76 fof(f965,plain,(
% 2.98/0.76 spl0_9 <=> relation_rng(empty_set)=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f967,plain,(
% 2.98/0.76 ~relation_rng(empty_set)=empty_set|spl0_9),
% 2.98/0.76 inference(component_clause,[status(thm)],[f965])).
% 2.98/0.76 fof(f968,plain,(
% 2.98/0.76 spl0_10 <=> empty_set=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f971,plain,(
% 2.98/0.76 ~relation_rng(empty_set)=empty_set|empty_set=empty_set),
% 2.98/0.76 inference(resolution,[status(thm)],[f491,f785])).
% 2.98/0.76 fof(f972,plain,(
% 2.98/0.76 ~spl0_9|spl0_10),
% 2.98/0.76 inference(split_clause,[status(thm)],[f971,f965,f968])).
% 2.98/0.76 fof(f973,plain,(
% 2.98/0.76 ~empty_set=empty_set|spl0_9),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f967])).
% 2.98/0.76 fof(f974,plain,(
% 2.98/0.76 $false|spl0_9),
% 2.98/0.76 inference(trivial_equality_resolution,[status(esa)],[f973])).
% 2.98/0.76 fof(f975,plain,(
% 2.98/0.76 spl0_9),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f974])).
% 2.98/0.76 fof(f977,plain,(
% 2.98/0.76 relation(relation_rng(sk0_53))),
% 2.98/0.76 inference(resolution,[status(thm)],[f556,f503])).
% 2.98/0.76 fof(f978,plain,(
% 2.98/0.76 empty(relation_rng(sk0_53))),
% 2.98/0.76 inference(resolution,[status(thm)],[f556,f502])).
% 2.98/0.76 fof(f979,plain,(
% 2.98/0.76 spl0_11 <=> relation_rng(sk0_53)=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f982,plain,(
% 2.98/0.76 spl0_12 <=> sk0_53=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f983,plain,(
% 2.98/0.76 sk0_53=empty_set|~spl0_12),
% 2.98/0.76 inference(component_clause,[status(thm)],[f982])).
% 2.98/0.76 fof(f984,plain,(
% 2.98/0.76 ~sk0_53=empty_set|spl0_12),
% 2.98/0.76 inference(component_clause,[status(thm)],[f982])).
% 2.98/0.76 fof(f987,plain,(
% 2.98/0.76 relation(sk0_55)),
% 2.98/0.76 inference(resolution,[status(thm)],[f563,f212])).
% 2.98/0.76 fof(f988,plain,(
% 2.98/0.76 relation(relation_rng(sk0_55))),
% 2.98/0.76 inference(resolution,[status(thm)],[f563,f503])).
% 2.98/0.76 fof(f989,plain,(
% 2.98/0.76 empty(relation_rng(sk0_55))),
% 2.98/0.76 inference(resolution,[status(thm)],[f563,f502])).
% 2.98/0.76 fof(f999,plain,(
% 2.98/0.76 spl0_15 <=> relation_rng(relation_rng(sk0_53))=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1001,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(sk0_53))=empty_set|spl0_15),
% 2.98/0.76 inference(component_clause,[status(thm)],[f999])).
% 2.98/0.76 fof(f1002,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(sk0_53))=empty_set|relation_rng(sk0_53)=empty_set),
% 2.98/0.76 inference(resolution,[status(thm)],[f977,f785])).
% 2.98/0.76 fof(f1003,plain,(
% 2.98/0.76 ~spl0_15|spl0_11),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1002,f999,f979])).
% 2.98/0.76 fof(f1008,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(empty_set))=empty_set|~spl0_12|spl0_15),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f983,f1001])).
% 2.98/0.76 fof(f1009,plain,(
% 2.98/0.76 ~relation_rng(empty_set)=empty_set|~spl0_12|spl0_15),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1008])).
% 2.98/0.76 fof(f1010,plain,(
% 2.98/0.76 ~empty_set=empty_set|~spl0_12|spl0_15),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1009])).
% 2.98/0.76 fof(f1011,plain,(
% 2.98/0.76 $false|~spl0_12|spl0_15),
% 2.98/0.76 inference(trivial_equality_resolution,[status(esa)],[f1010])).
% 2.98/0.76 fof(f1012,plain,(
% 2.98/0.76 ~spl0_12|spl0_15),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1011])).
% 2.98/0.76 fof(f1013,plain,(
% 2.98/0.76 spl0_16 <=> empty(sk0_53)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1016,plain,(
% 2.98/0.76 spl0_17 <=> relation(sk0_53)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1018,plain,(
% 2.98/0.76 ~relation(sk0_53)|spl0_17),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1016])).
% 2.98/0.76 fof(f1019,plain,(
% 2.98/0.76 empty(sk0_53)|~relation(sk0_53)),
% 2.98/0.76 inference(resolution,[status(thm)],[f978,f497])).
% 2.98/0.76 fof(f1020,plain,(
% 2.98/0.76 spl0_16|~spl0_17),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1019,f1013,f1016])).
% 2.98/0.76 fof(f1022,plain,(
% 2.98/0.76 relation(relation_rng(relation_rng(sk0_53)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f978,f503])).
% 2.98/0.76 fof(f1023,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(sk0_53)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f978,f502])).
% 2.98/0.76 fof(f1024,plain,(
% 2.98/0.76 spl0_18 <=> relation_rng(relation_rng(sk0_55))=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1027,plain,(
% 2.98/0.76 spl0_19 <=> relation_rng(sk0_55)=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1030,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(sk0_55))=empty_set|relation_rng(sk0_55)=empty_set),
% 2.98/0.76 inference(resolution,[status(thm)],[f988,f785])).
% 2.98/0.76 fof(f1031,plain,(
% 2.98/0.76 ~spl0_18|spl0_19),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1030,f1024,f1027])).
% 2.98/0.76 fof(f1032,plain,(
% 2.98/0.76 spl0_20 <=> empty(sk0_55)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1035,plain,(
% 2.98/0.76 spl0_21 <=> relation(sk0_55)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1037,plain,(
% 2.98/0.76 ~relation(sk0_55)|spl0_21),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1035])).
% 2.98/0.76 fof(f1038,plain,(
% 2.98/0.76 empty(sk0_55)|~relation(sk0_55)),
% 2.98/0.76 inference(resolution,[status(thm)],[f989,f497])).
% 2.98/0.76 fof(f1039,plain,(
% 2.98/0.76 spl0_20|~spl0_21),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1038,f1032,f1035])).
% 2.98/0.76 fof(f1041,plain,(
% 2.98/0.76 relation(relation_rng(relation_rng(sk0_55)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f989,f503])).
% 2.98/0.76 fof(f1042,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(sk0_55)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f989,f502])).
% 2.98/0.76 fof(f1045,plain,(
% 2.98/0.76 spl0_22 <=> relation_rng(relation_rng(relation_rng(sk0_53)))=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1050,plain,(
% 2.98/0.76 spl0_23 <=> empty(relation_rng(sk0_53))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1053,plain,(
% 2.98/0.76 spl0_24 <=> relation(relation_rng(sk0_53))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1055,plain,(
% 2.98/0.76 ~relation(relation_rng(sk0_53))|spl0_24),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1053])).
% 2.98/0.76 fof(f1056,plain,(
% 2.98/0.76 empty(relation_rng(sk0_53))|~relation(relation_rng(sk0_53))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1023,f497])).
% 2.98/0.76 fof(f1057,plain,(
% 2.98/0.76 spl0_23|~spl0_24),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1056,f1050,f1053])).
% 2.98/0.76 fof(f1059,plain,(
% 2.98/0.76 relation(relation_rng(relation_rng(relation_rng(sk0_53))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1023,f503])).
% 2.98/0.76 fof(f1060,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(relation_rng(sk0_53))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1023,f502])).
% 2.98/0.76 fof(f1061,plain,(
% 2.98/0.76 $false|spl0_24),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1055,f977])).
% 2.98/0.76 fof(f1062,plain,(
% 2.98/0.76 spl0_24),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1061])).
% 2.98/0.76 fof(f1063,plain,(
% 2.98/0.76 spl0_25 <=> relation_rng(relation_rng(relation_rng(sk0_55)))=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1066,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(sk0_55)))=empty_set|relation_rng(relation_rng(sk0_55))=empty_set),
% 2.98/0.76 inference(resolution,[status(thm)],[f1041,f785])).
% 2.98/0.76 fof(f1067,plain,(
% 2.98/0.76 ~spl0_25|spl0_18),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1066,f1063,f1024])).
% 2.98/0.76 fof(f1086,plain,(
% 2.98/0.76 spl0_26 <=> empty(relation_rng(sk0_55))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1089,plain,(
% 2.98/0.76 spl0_27 <=> relation(relation_rng(sk0_55))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1091,plain,(
% 2.98/0.76 ~relation(relation_rng(sk0_55))|spl0_27),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1089])).
% 2.98/0.76 fof(f1092,plain,(
% 2.98/0.76 empty(relation_rng(sk0_55))|~relation(relation_rng(sk0_55))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1042,f497])).
% 2.98/0.76 fof(f1093,plain,(
% 2.98/0.76 spl0_26|~spl0_27),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1092,f1086,f1089])).
% 2.98/0.76 fof(f1095,plain,(
% 2.98/0.76 relation(relation_rng(relation_rng(relation_rng(sk0_55))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1042,f503])).
% 2.98/0.76 fof(f1096,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(relation_rng(sk0_55))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1042,f502])).
% 2.98/0.76 fof(f1097,plain,(
% 2.98/0.76 $false|spl0_27),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1091,f988])).
% 2.98/0.76 fof(f1098,plain,(
% 2.98/0.76 spl0_27),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1097])).
% 2.98/0.76 fof(f1101,plain,(
% 2.98/0.76 spl0_28 <=> relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1104,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))=empty_set|relation_rng(relation_rng(relation_rng(sk0_53)))=empty_set),
% 2.98/0.76 inference(resolution,[status(thm)],[f1059,f785])).
% 2.98/0.76 fof(f1105,plain,(
% 2.98/0.76 ~spl0_28|spl0_22),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1104,f1101,f1045])).
% 2.98/0.76 fof(f1106,plain,(
% 2.98/0.76 spl0_29 <=> empty(relation_rng(relation_rng(sk0_53)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1109,plain,(
% 2.98/0.76 spl0_30 <=> relation(relation_rng(relation_rng(sk0_53)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1111,plain,(
% 2.98/0.76 ~relation(relation_rng(relation_rng(sk0_53)))|spl0_30),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1109])).
% 2.98/0.76 fof(f1112,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(sk0_53)))|~relation(relation_rng(relation_rng(sk0_53)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1060,f497])).
% 2.98/0.76 fof(f1113,plain,(
% 2.98/0.76 spl0_29|~spl0_30),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1112,f1106,f1109])).
% 2.98/0.76 fof(f1115,plain,(
% 2.98/0.76 relation(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53)))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1060,f503])).
% 2.98/0.76 fof(f1116,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53)))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1060,f502])).
% 2.98/0.76 fof(f1117,plain,(
% 2.98/0.76 $false|spl0_30),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1111,f1022])).
% 2.98/0.76 fof(f1118,plain,(
% 2.98/0.76 spl0_30),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1117])).
% 2.98/0.76 fof(f1119,plain,(
% 2.98/0.76 spl0_31 <=> relation_rng(relation_rng(relation_rng(relation_rng(sk0_55))))=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1122,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(sk0_55))))=empty_set|relation_rng(relation_rng(relation_rng(sk0_55)))=empty_set),
% 2.98/0.76 inference(resolution,[status(thm)],[f1095,f785])).
% 2.98/0.76 fof(f1123,plain,(
% 2.98/0.76 ~spl0_31|spl0_25),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1122,f1119,f1063])).
% 2.98/0.76 fof(f1124,plain,(
% 2.98/0.76 spl0_32 <=> empty(relation_rng(relation_rng(sk0_55)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1127,plain,(
% 2.98/0.76 spl0_33 <=> relation(relation_rng(relation_rng(sk0_55)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1129,plain,(
% 2.98/0.76 ~relation(relation_rng(relation_rng(sk0_55)))|spl0_33),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1127])).
% 2.98/0.76 fof(f1130,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(sk0_55)))|~relation(relation_rng(relation_rng(sk0_55)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1096,f497])).
% 2.98/0.76 fof(f1131,plain,(
% 2.98/0.76 spl0_32|~spl0_33),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1130,f1124,f1127])).
% 2.98/0.76 fof(f1133,plain,(
% 2.98/0.76 relation(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55)))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1096,f503])).
% 2.98/0.76 fof(f1134,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55)))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1096,f502])).
% 2.98/0.76 fof(f1135,plain,(
% 2.98/0.76 $false|spl0_33),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1129,f1041])).
% 2.98/0.76 fof(f1136,plain,(
% 2.98/0.76 spl0_33),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1135])).
% 2.98/0.76 fof(f1137,plain,(
% 2.98/0.76 spl0_34 <=> relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53)))))=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1140,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53)))))=empty_set|relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))=empty_set),
% 2.98/0.76 inference(resolution,[status(thm)],[f1115,f785])).
% 2.98/0.76 fof(f1141,plain,(
% 2.98/0.76 ~spl0_34|spl0_28),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1140,f1137,f1101])).
% 2.98/0.76 fof(f1142,plain,(
% 2.98/0.76 spl0_35 <=> empty(relation_rng(relation_rng(relation_rng(sk0_53))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1145,plain,(
% 2.98/0.76 spl0_36 <=> relation(relation_rng(relation_rng(relation_rng(sk0_53))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1147,plain,(
% 2.98/0.76 ~relation(relation_rng(relation_rng(relation_rng(sk0_53))))|spl0_36),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1145])).
% 2.98/0.76 fof(f1148,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(relation_rng(sk0_53))))|~relation(relation_rng(relation_rng(relation_rng(sk0_53))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1116,f497])).
% 2.98/0.76 fof(f1149,plain,(
% 2.98/0.76 spl0_35|~spl0_36),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1148,f1142,f1145])).
% 2.98/0.76 fof(f1151,plain,(
% 2.98/0.76 relation(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1116,f503])).
% 2.98/0.76 fof(f1152,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1116,f502])).
% 2.98/0.76 fof(f1153,plain,(
% 2.98/0.76 $false|spl0_36),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1147,f1059])).
% 2.98/0.76 fof(f1154,plain,(
% 2.98/0.76 spl0_36),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1153])).
% 2.98/0.76 fof(f1155,plain,(
% 2.98/0.76 spl0_37 <=> relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55)))))=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1157,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55)))))=empty_set|spl0_37),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1155])).
% 2.98/0.76 fof(f1158,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55)))))=empty_set|relation_rng(relation_rng(relation_rng(relation_rng(sk0_55))))=empty_set),
% 2.98/0.76 inference(resolution,[status(thm)],[f1133,f785])).
% 2.98/0.76 fof(f1159,plain,(
% 2.98/0.76 ~spl0_37|spl0_31),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1158,f1155,f1119])).
% 2.98/0.76 fof(f1160,plain,(
% 2.98/0.76 spl0_38 <=> empty(relation_rng(relation_rng(relation_rng(sk0_55))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1163,plain,(
% 2.98/0.76 spl0_39 <=> relation(relation_rng(relation_rng(relation_rng(sk0_55))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1165,plain,(
% 2.98/0.76 ~relation(relation_rng(relation_rng(relation_rng(sk0_55))))|spl0_39),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1163])).
% 2.98/0.76 fof(f1166,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(relation_rng(sk0_55))))|~relation(relation_rng(relation_rng(relation_rng(sk0_55))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1134,f497])).
% 2.98/0.76 fof(f1167,plain,(
% 2.98/0.76 spl0_38|~spl0_39),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1166,f1160,f1163])).
% 2.98/0.76 fof(f1169,plain,(
% 2.98/0.76 relation(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55))))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1134,f503])).
% 2.98/0.76 fof(f1170,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55))))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1134,f502])).
% 2.98/0.76 fof(f1171,plain,(
% 2.98/0.76 $false|spl0_39),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1165,f1095])).
% 2.98/0.76 fof(f1172,plain,(
% 2.98/0.76 spl0_39),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1171])).
% 2.98/0.76 fof(f1173,plain,(
% 2.98/0.76 spl0_40 <=> relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))))=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1175,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))))=empty_set|spl0_40),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1173])).
% 2.98/0.76 fof(f1176,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))))=empty_set|relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53)))))=empty_set),
% 2.98/0.76 inference(resolution,[status(thm)],[f1151,f785])).
% 2.98/0.76 fof(f1177,plain,(
% 2.98/0.76 ~spl0_40|spl0_34),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1176,f1173,f1137])).
% 2.98/0.76 fof(f1178,plain,(
% 2.98/0.76 spl0_41 <=> empty(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53)))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1181,plain,(
% 2.98/0.76 spl0_42 <=> relation(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53)))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1183,plain,(
% 2.98/0.76 ~relation(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53)))))|spl0_42),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1181])).
% 2.98/0.76 fof(f1184,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53)))))|~relation(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53)))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1152,f497])).
% 2.98/0.76 fof(f1185,plain,(
% 2.98/0.76 spl0_41|~spl0_42),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1184,f1178,f1181])).
% 2.98/0.76 fof(f1188,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53)))))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1152,f502])).
% 2.98/0.76 fof(f1189,plain,(
% 2.98/0.76 $false|spl0_42),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1183,f1115])).
% 2.98/0.76 fof(f1190,plain,(
% 2.98/0.76 spl0_42),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1189])).
% 2.98/0.76 fof(f1191,plain,(
% 2.98/0.76 spl0_43 <=> relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55))))))=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1196,plain,(
% 2.98/0.76 spl0_44 <=> empty(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55)))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1199,plain,(
% 2.98/0.76 spl0_45 <=> relation(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55)))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1201,plain,(
% 2.98/0.76 ~relation(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55)))))|spl0_45),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1199])).
% 2.98/0.76 fof(f1202,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55)))))|~relation(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55)))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1170,f497])).
% 2.98/0.76 fof(f1203,plain,(
% 2.98/0.76 spl0_44|~spl0_45),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1202,f1196,f1199])).
% 2.98/0.76 fof(f1205,plain,(
% 2.98/0.76 relation(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55)))))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1170,f503])).
% 2.98/0.76 fof(f1206,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55)))))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1170,f502])).
% 2.98/0.76 fof(f1207,plain,(
% 2.98/0.76 $false|spl0_45),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1201,f1133])).
% 2.98/0.76 fof(f1208,plain,(
% 2.98/0.76 spl0_45),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1207])).
% 2.98/0.76 fof(f1209,plain,(
% 2.98/0.76 spl0_46 <=> relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53)))))))=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1214,plain,(
% 2.98/0.76 spl0_47 <=> empty(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1217,plain,(
% 2.98/0.76 spl0_48 <=> relation(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1219,plain,(
% 2.98/0.76 ~relation(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))))|spl0_48),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1217])).
% 2.98/0.76 fof(f1220,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))))|~relation(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1188,f497])).
% 2.98/0.76 fof(f1221,plain,(
% 2.98/0.76 spl0_47|~spl0_48),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1220,f1214,f1217])).
% 2.98/0.76 fof(f1223,plain,(
% 2.98/0.76 relation(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1188,f503])).
% 2.98/0.76 fof(f1225,plain,(
% 2.98/0.76 $false|spl0_48),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1219,f1151])).
% 2.98/0.76 fof(f1226,plain,(
% 2.98/0.76 spl0_48),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1225])).
% 2.98/0.76 fof(f1227,plain,(
% 2.98/0.76 spl0_49 <=> relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55)))))))=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1229,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55)))))))=empty_set|spl0_49),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1227])).
% 2.98/0.76 fof(f1230,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55)))))))=empty_set|relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55))))))=empty_set),
% 2.98/0.76 inference(resolution,[status(thm)],[f1205,f785])).
% 2.98/0.76 fof(f1231,plain,(
% 2.98/0.76 ~spl0_49|spl0_43),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1230,f1227,f1191])).
% 2.98/0.76 fof(f1232,plain,(
% 2.98/0.76 spl0_50 <=> empty(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55))))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1235,plain,(
% 2.98/0.76 spl0_51 <=> relation(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55))))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1237,plain,(
% 2.98/0.76 ~relation(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55))))))|spl0_51),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1235])).
% 2.98/0.76 fof(f1238,plain,(
% 2.98/0.76 empty(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55))))))|~relation(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_55))))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1206,f497])).
% 2.98/0.76 fof(f1239,plain,(
% 2.98/0.76 spl0_50|~spl0_51),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1238,f1232,f1235])).
% 2.98/0.76 fof(f1243,plain,(
% 2.98/0.76 $false|spl0_51),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1237,f1169])).
% 2.98/0.76 fof(f1244,plain,(
% 2.98/0.76 spl0_51),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1243])).
% 2.98/0.76 fof(f1245,plain,(
% 2.98/0.76 spl0_52 <=> relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))))))=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1247,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))))))=empty_set|spl0_52),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1245])).
% 2.98/0.76 fof(f1248,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))))))=empty_set|relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53)))))))=empty_set),
% 2.98/0.76 inference(resolution,[status(thm)],[f1223,f785])).
% 2.98/0.76 fof(f1249,plain,(
% 2.98/0.76 ~spl0_52|spl0_46),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1248,f1245,f1209])).
% 2.98/0.76 fof(f1250,plain,(
% 2.98/0.76 $false|spl0_21),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f987,f1037])).
% 2.98/0.76 fof(f1251,plain,(
% 2.98/0.76 spl0_21),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1250])).
% 2.98/0.76 fof(f1252,plain,(
% 2.98/0.76 $false|spl0_17),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f557,f1018])).
% 2.98/0.76 fof(f1253,plain,(
% 2.98/0.76 spl0_17),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1252])).
% 2.98/0.76 fof(f1257,plain,(
% 2.98/0.76 spl0_53 <=> sk0_55=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1258,plain,(
% 2.98/0.76 sk0_55=empty_set|~spl0_53),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1257])).
% 2.98/0.76 fof(f1259,plain,(
% 2.98/0.76 ~sk0_55=empty_set|spl0_53),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1257])).
% 2.98/0.76 fof(f1264,plain,(
% 2.98/0.76 ![X0]: (~relation_rng(identity_relation(X0))=empty_set|identity_relation(X0)=empty_set)),
% 2.98/0.76 inference(resolution,[status(thm)],[f457,f785])).
% 2.98/0.76 fof(f1267,plain,(
% 2.98/0.76 ![X0]: (empty(relation_rng(sk0_57(X0))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f569,f502])).
% 2.98/0.76 fof(f1268,plain,(
% 2.98/0.76 spl0_54 <=> ~relation(X0)|subset(relation_rng(empty_set),relation_rng(X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1271,plain,(
% 2.98/0.76 ![X0]: (~relation(empty_set)|~relation(X0)|subset(relation_rng(empty_set),relation_rng(X0)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f685,f671])).
% 2.98/0.76 fof(f1272,plain,(
% 2.98/0.76 ~spl0_6|spl0_54),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1271,f945,f1268])).
% 2.98/0.76 fof(f1273,plain,(
% 2.98/0.76 $false|spl0_6),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f947,f491])).
% 2.98/0.76 fof(f1274,plain,(
% 2.98/0.76 spl0_6),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1273])).
% 2.98/0.76 fof(f1277,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~in(ordered_pair(X0,X1),identity_relation(X2))|X0=X1)),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f882,f457])).
% 2.98/0.76 fof(f1278,plain,(
% 2.98/0.76 ![X0,X1]: (in(ordered_pair(X0,X0),identity_relation(X1))|~in(X0,X1))),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f883,f457])).
% 2.98/0.76 fof(f1281,plain,(
% 2.98/0.76 spl0_55 <=> relation(identity_relation(relation_inverse_image(sk0_61,sk0_63)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1283,plain,(
% 2.98/0.76 ~relation(identity_relation(relation_inverse_image(sk0_61,sk0_63)))|spl0_55),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1281])).
% 2.98/0.76 fof(f1296,plain,(
% 2.98/0.76 $false|spl0_55),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1283,f457])).
% 2.98/0.76 fof(f1297,plain,(
% 2.98/0.76 spl0_55),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1296])).
% 2.98/0.76 fof(f1304,plain,(
% 2.98/0.76 spl0_58 <=> relation(sk0_61)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1306,plain,(
% 2.98/0.76 ~relation(sk0_61)|spl0_58),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1304])).
% 2.98/0.76 fof(f1309,plain,(
% 2.98/0.76 spl0_59 <=> in(sk0_62,relation_inverse_image(sk0_61,X0))|~in(sk0_64,X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1310,plain,(
% 2.98/0.76 ![X0]: (in(sk0_62,relation_inverse_image(sk0_61,X0))|~in(sk0_64,X0)|~spl0_59)),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1309])).
% 2.98/0.76 fof(f1312,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_61)|in(sk0_62,relation_inverse_image(sk0_61,X0))|~in(sk0_64,X0)|~spl0_2)),
% 2.98/0.76 inference(resolution,[status(thm)],[f870,f897])).
% 2.98/0.76 fof(f1313,plain,(
% 2.98/0.76 ~spl0_58|spl0_59|~spl0_2),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1312,f1304,f1309,f869])).
% 2.98/0.76 fof(f1316,plain,(
% 2.98/0.76 $false|spl0_58),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1306,f648])).
% 2.98/0.76 fof(f1317,plain,(
% 2.98/0.76 spl0_58),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1316])).
% 2.98/0.76 fof(f1382,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(empty_set)))))=empty_set|~spl0_53|spl0_37),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f1258,f1157])).
% 2.98/0.76 fof(f1383,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(empty_set))))=empty_set|~spl0_53|spl0_37),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1382])).
% 2.98/0.76 fof(f1384,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(empty_set)))=empty_set|~spl0_53|spl0_37),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1383])).
% 2.98/0.76 fof(f1385,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(empty_set))=empty_set|~spl0_53|spl0_37),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1384])).
% 2.98/0.76 fof(f1386,plain,(
% 2.98/0.76 ~relation_rng(empty_set)=empty_set|~spl0_53|spl0_37),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1385])).
% 2.98/0.76 fof(f1387,plain,(
% 2.98/0.76 ~empty_set=empty_set|~spl0_53|spl0_37),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1386])).
% 2.98/0.76 fof(f1388,plain,(
% 2.98/0.76 $false|~spl0_53|spl0_37),
% 2.98/0.76 inference(trivial_equality_resolution,[status(esa)],[f1387])).
% 2.98/0.76 fof(f1389,plain,(
% 2.98/0.76 ~spl0_53|spl0_37),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1388])).
% 2.98/0.76 fof(f1411,plain,(
% 2.98/0.76 spl0_60 <=> relation(identity_relation(identity_relation(relation_inverse_image(sk0_61,sk0_63))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1413,plain,(
% 2.98/0.76 ~relation(identity_relation(identity_relation(relation_inverse_image(sk0_61,sk0_63))))|spl0_60),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1411])).
% 2.98/0.76 fof(f1477,plain,(
% 2.98/0.76 sk0_55=empty_set),
% 2.98/0.76 inference(resolution,[status(thm)],[f796,f563])).
% 2.98/0.76 fof(f1478,plain,(
% 2.98/0.76 $false|spl0_53),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1477,f1259])).
% 2.98/0.76 fof(f1479,plain,(
% 2.98/0.76 spl0_53),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1478])).
% 2.98/0.76 fof(f1481,plain,(
% 2.98/0.76 sk0_53=empty_set),
% 2.98/0.76 inference(resolution,[status(thm)],[f796,f556])).
% 2.98/0.76 fof(f1482,plain,(
% 2.98/0.76 $false|spl0_12),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1481,f984])).
% 2.98/0.76 fof(f1483,plain,(
% 2.98/0.76 spl0_12),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1482])).
% 2.98/0.76 fof(f1484,plain,(
% 2.98/0.76 ![X0]: (relation_rng(sk0_57(X0))=empty_set)),
% 2.98/0.76 inference(resolution,[status(thm)],[f796,f1267])).
% 2.98/0.76 fof(f1489,plain,(
% 2.98/0.76 relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(sk0_53))))))=empty_set),
% 2.98/0.76 inference(resolution,[status(thm)],[f796,f1188])).
% 2.98/0.76 fof(f1490,plain,(
% 2.98/0.76 $false|spl0_40),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1489,f1175])).
% 2.98/0.76 fof(f1491,plain,(
% 2.98/0.76 spl0_40),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1490])).
% 2.98/0.76 fof(f1603,plain,(
% 2.98/0.76 ~in(sk0_64,sk0_63)|~spl0_59|spl0_0),
% 2.98/0.76 inference(resolution,[status(thm)],[f1310,f864])).
% 2.98/0.76 fof(f1604,plain,(
% 2.98/0.76 ~spl0_3|~spl0_59|spl0_0),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1603,f873,f1309,f862])).
% 2.98/0.76 fof(f1607,plain,(
% 2.98/0.76 $false|spl0_60),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1413,f457])).
% 2.98/0.76 fof(f1608,plain,(
% 2.98/0.76 spl0_60),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1607])).
% 2.98/0.76 fof(f1667,plain,(
% 2.98/0.76 spl0_65 <=> empty(sk0_57(X0))|~relation(sk0_57(X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1670,plain,(
% 2.98/0.76 ![X0]: (empty(sk0_57(X0))|~relation(sk0_57(X0))|~empty(empty_set))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f1484,f497])).
% 2.98/0.76 fof(f1671,plain,(
% 2.98/0.76 spl0_65|~spl0_5),
% 2.98/0.76 inference(split_clause,[status(thm)],[f1670,f1667,f942])).
% 2.98/0.76 fof(f1672,plain,(
% 2.98/0.76 $false|spl0_5),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f944,f478])).
% 2.98/0.76 fof(f1673,plain,(
% 2.98/0.76 spl0_5),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1672])).
% 2.98/0.76 fof(f1709,plain,(
% 2.98/0.76 ![X0]: (~X0=empty_set|identity_relation(X0)=empty_set)),
% 2.98/0.76 inference(backward_demodulation,[status(thm)],[f801,f1264])).
% 2.98/0.76 fof(f1710,plain,(
% 2.98/0.76 identity_relation(empty_set)=empty_set),
% 2.98/0.76 inference(destructive_equality_resolution,[status(esa)],[f1709])).
% 2.98/0.76 fof(f1746,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(empty_set)))))))=empty_set|spl0_49),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f1477,f1229])).
% 2.98/0.76 fof(f1747,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(empty_set))))))=empty_set|spl0_49),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1746])).
% 2.98/0.76 fof(f1748,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(empty_set)))))=empty_set|spl0_49),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1747])).
% 2.98/0.76 fof(f1749,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(empty_set))))=empty_set|spl0_49),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1748])).
% 2.98/0.76 fof(f1750,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(empty_set)))=empty_set|spl0_49),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1749])).
% 2.98/0.76 fof(f1751,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(empty_set))=empty_set|spl0_49),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1750])).
% 2.98/0.76 fof(f1752,plain,(
% 2.98/0.76 ~relation_rng(empty_set)=empty_set|spl0_49),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1751])).
% 2.98/0.76 fof(f1753,plain,(
% 2.98/0.76 ~empty_set=empty_set|spl0_49),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1752])).
% 2.98/0.76 fof(f1754,plain,(
% 2.98/0.76 $false|spl0_49),
% 2.98/0.76 inference(trivial_equality_resolution,[status(esa)],[f1753])).
% 2.98/0.76 fof(f1755,plain,(
% 2.98/0.76 spl0_49),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1754])).
% 2.98/0.76 fof(f1769,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(empty_set))))))))=empty_set|~spl0_12|spl0_52),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f983,f1247])).
% 2.98/0.76 fof(f1770,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(empty_set)))))))=empty_set|~spl0_12|spl0_52),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1769])).
% 2.98/0.76 fof(f1771,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(empty_set))))))=empty_set|~spl0_12|spl0_52),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1770])).
% 2.98/0.76 fof(f1772,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(empty_set)))))=empty_set|~spl0_12|spl0_52),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1771])).
% 2.98/0.76 fof(f1773,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(relation_rng(empty_set))))=empty_set|~spl0_12|spl0_52),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1772])).
% 2.98/0.76 fof(f1774,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(relation_rng(empty_set)))=empty_set|~spl0_12|spl0_52),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1773])).
% 2.98/0.76 fof(f1775,plain,(
% 2.98/0.76 ~relation_rng(relation_rng(empty_set))=empty_set|~spl0_12|spl0_52),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1774])).
% 2.98/0.76 fof(f1776,plain,(
% 2.98/0.76 ~relation_rng(empty_set)=empty_set|~spl0_12|spl0_52),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1775])).
% 2.98/0.76 fof(f1777,plain,(
% 2.98/0.76 ~empty_set=empty_set|~spl0_12|spl0_52),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f777,f1776])).
% 2.98/0.76 fof(f1778,plain,(
% 2.98/0.76 $false|~spl0_12|spl0_52),
% 2.98/0.76 inference(trivial_equality_resolution,[status(esa)],[f1777])).
% 2.98/0.76 fof(f1779,plain,(
% 2.98/0.76 ~spl0_12|spl0_52),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1778])).
% 2.98/0.76 fof(f1817,plain,(
% 2.98/0.76 spl0_68 <=> relation(identity_relation(identity_relation(identity_relation(relation_inverse_image(sk0_61,sk0_63)))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1819,plain,(
% 2.98/0.76 ~relation(identity_relation(identity_relation(identity_relation(relation_inverse_image(sk0_61,sk0_63)))))|spl0_68),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1817])).
% 2.98/0.76 fof(f1832,plain,(
% 2.98/0.76 $false|spl0_68),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1819,f457])).
% 2.98/0.76 fof(f1833,plain,(
% 2.98/0.76 spl0_68),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1832])).
% 2.98/0.76 fof(f1871,plain,(
% 2.98/0.76 spl0_72 <=> relation(identity_relation(identity_relation(identity_relation(identity_relation(relation_inverse_image(sk0_61,sk0_63))))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f1873,plain,(
% 2.98/0.76 ~relation(identity_relation(identity_relation(identity_relation(identity_relation(relation_inverse_image(sk0_61,sk0_63))))))|spl0_72),
% 2.98/0.76 inference(component_clause,[status(thm)],[f1871])).
% 2.98/0.76 fof(f1886,plain,(
% 2.98/0.76 $false|spl0_72),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1873,f457])).
% 2.98/0.76 fof(f1887,plain,(
% 2.98/0.76 spl0_72),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f1886])).
% 2.98/0.76 fof(f1951,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(set_intersection2(X0,X1))|~relation(X0)|subset(relation_rng(set_intersection2(X0,X1)),relation_rng(X0)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f653,f671])).
% 2.98/0.76 fof(f1953,plain,(
% 2.98/0.76 ![X0,X1]: (subset(set_intersection2(X0,X1),X1))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f215,f653])).
% 2.98/0.76 fof(f1955,plain,(
% 2.98/0.76 ![X0]: (set_intersection2(empty_set,X0)=empty_set)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f215,f677])).
% 2.98/0.76 fof(f1961,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(set_difference(X0,X1))|~relation(X0)|subset(relation_rng(set_difference(X0,X1)),relation_rng(X0)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f696,f671])).
% 2.98/0.76 fof(f1971,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|~relation(set_union2(X0,X1))|subset(relation_rng(X0),relation_rng(set_union2(X0,X1))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f811,f671])).
% 2.98/0.76 fof(f1975,plain,(
% 2.98/0.76 ![X0,X1]: (subset(X0,set_union2(X1,X0)))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f214,f811])).
% 2.98/0.76 fof(f1978,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(set_intersection2(X0,X1))|~relation(X1)|subset(relation_rng(set_intersection2(X0,X1)),relation_rng(X1)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1953,f671])).
% 2.98/0.76 fof(f1993,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),sk0_61)|in(sk0_2(X1,sk0_61,X0),X1))),
% 2.98/0.76 inference(resolution,[status(thm)],[f239,f648])).
% 2.98/0.76 fof(f2051,plain,(
% 2.98/0.76 spl0_77 <=> relation(identity_relation(identity_relation(identity_relation(identity_relation(identity_relation(relation_inverse_image(sk0_61,sk0_63)))))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2053,plain,(
% 2.98/0.76 ~relation(identity_relation(identity_relation(identity_relation(identity_relation(identity_relation(relation_inverse_image(sk0_61,sk0_63)))))))|spl0_77),
% 2.98/0.76 inference(component_clause,[status(thm)],[f2051])).
% 2.98/0.76 fof(f2066,plain,(
% 2.98/0.76 $false|spl0_77),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f2053,f457])).
% 2.98/0.76 fof(f2067,plain,(
% 2.98/0.76 spl0_77),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f2066])).
% 2.98/0.76 fof(f2127,plain,(
% 2.98/0.76 spl0_80 <=> ~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(sk0_2(X1,sk0_61,X0),X1)|in(sk0_3(X1,sk0_61,X0),relation_rng(sk0_61))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2128,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(sk0_2(X1,sk0_61,X0),X1)|in(sk0_3(X1,sk0_61,X0),relation_rng(sk0_61))|~spl0_80)),
% 2.98/0.76 inference(component_clause,[status(thm)],[f2127])).
% 2.98/0.76 fof(f2130,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(sk0_2(X1,sk0_61,X0),X1)|~relation(sk0_61)|in(sk0_3(X1,sk0_61,X0),relation_rng(sk0_61)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1993,f928])).
% 2.98/0.76 fof(f2131,plain,(
% 2.98/0.76 spl0_80|~spl0_58),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2130,f2127,f1304])).
% 2.98/0.76 fof(f2132,plain,(
% 2.98/0.76 spl0_81 <=> ~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(sk0_2(X1,sk0_61,X0),X1)|in(sk0_2(X1,sk0_61,X0),relation_inverse_image(sk0_61,X2))|~in(sk0_3(X1,sk0_61,X0),X2)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2133,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(sk0_2(X1,sk0_61,X0),X1)|in(sk0_2(X1,sk0_61,X0),relation_inverse_image(sk0_61,X2))|~in(sk0_3(X1,sk0_61,X0),X2)|~spl0_81)),
% 2.98/0.76 inference(component_clause,[status(thm)],[f2132])).
% 2.98/0.76 fof(f2135,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(sk0_2(X1,sk0_61,X0),X1)|~relation(sk0_61)|in(sk0_2(X1,sk0_61,X0),relation_inverse_image(sk0_61,X2))|~in(sk0_3(X1,sk0_61,X0),X2))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1993,f897])).
% 2.98/0.76 fof(f2136,plain,(
% 2.98/0.76 spl0_81|~spl0_58),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2135,f2132,f1304])).
% 2.98/0.76 fof(f2137,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(sk0_2(X1,sk0_61,X0),X1)|in(ordered_pair(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0))),identity_relation(sk0_61)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1993,f1278])).
% 2.98/0.76 fof(f2139,plain,(
% 2.98/0.76 ![X0,X1]: (sk0_61=relation_dom_restriction(identity_relation(X0),X1)|in(sk0_2(X1,sk0_61,identity_relation(X0)),X1)|in(ordered_pair(ordered_pair(sk0_2(X1,sk0_61,identity_relation(X0)),sk0_3(X1,sk0_61,identity_relation(X0))),ordered_pair(sk0_2(X1,sk0_61,identity_relation(X0)),sk0_3(X1,sk0_61,identity_relation(X0)))),identity_relation(sk0_61)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f2137,f457])).
% 2.98/0.76 fof(f2140,plain,(
% 2.98/0.76 ![X0]: (sk0_61=relation_dom_restriction(sk0_56,X0)|in(sk0_2(X0,sk0_61,sk0_56),X0)|in(ordered_pair(ordered_pair(sk0_2(X0,sk0_61,sk0_56),sk0_3(X0,sk0_61,sk0_56)),ordered_pair(sk0_2(X0,sk0_61,sk0_56),sk0_3(X0,sk0_61,sk0_56))),identity_relation(sk0_61)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f2137,f566])).
% 2.98/0.76 fof(f2141,plain,(
% 2.98/0.76 ![X0]: (sk0_61=relation_dom_restriction(empty_set,X0)|in(sk0_2(X0,sk0_61,empty_set),X0)|in(ordered_pair(ordered_pair(sk0_2(X0,sk0_61,empty_set),sk0_3(X0,sk0_61,empty_set)),ordered_pair(sk0_2(X0,sk0_61,empty_set),sk0_3(X0,sk0_61,empty_set))),identity_relation(sk0_61)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f2137,f491])).
% 2.98/0.76 fof(f2143,plain,(
% 2.98/0.76 spl0_82 <=> sk0_61=relation_dom_restriction(sk0_56,X0)|in(ordered_pair(ordered_pair(sk0_2(X0,sk0_61,sk0_56),sk0_3(X0,sk0_61,sk0_56)),ordered_pair(sk0_2(X0,sk0_61,sk0_56),sk0_3(X0,sk0_61,sk0_56))),identity_relation(sk0_61))|sk0_61=relation_dom_restriction(sk0_56,X0)|~in(ordered_pair(sk0_2(X0,sk0_61,sk0_56),sk0_3(X0,sk0_61,sk0_56)),sk0_61)|~in(ordered_pair(sk0_2(X0,sk0_61,sk0_56),sk0_3(X0,sk0_61,sk0_56)),sk0_56)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2146,plain,(
% 2.98/0.76 spl0_83 <=> relation(sk0_56)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2148,plain,(
% 2.98/0.76 ~relation(sk0_56)|spl0_83),
% 2.98/0.76 inference(component_clause,[status(thm)],[f2146])).
% 2.98/0.76 fof(f2149,plain,(
% 2.98/0.76 ![X0]: (sk0_61=relation_dom_restriction(sk0_56,X0)|in(ordered_pair(ordered_pair(sk0_2(X0,sk0_61,sk0_56),sk0_3(X0,sk0_61,sk0_56)),ordered_pair(sk0_2(X0,sk0_61,sk0_56),sk0_3(X0,sk0_61,sk0_56))),identity_relation(sk0_61))|~relation(sk0_56)|~relation(sk0_61)|sk0_61=relation_dom_restriction(sk0_56,X0)|~in(ordered_pair(sk0_2(X0,sk0_61,sk0_56),sk0_3(X0,sk0_61,sk0_56)),sk0_61)|~in(ordered_pair(sk0_2(X0,sk0_61,sk0_56),sk0_3(X0,sk0_61,sk0_56)),sk0_56))),
% 2.98/0.76 inference(resolution,[status(thm)],[f2140,f238])).
% 2.98/0.76 fof(f2150,plain,(
% 2.98/0.76 spl0_82|~spl0_83|~spl0_58),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2149,f2143,f2146,f1304])).
% 2.98/0.76 fof(f2161,plain,(
% 2.98/0.76 $false|spl0_83),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f2148,f566])).
% 2.98/0.76 fof(f2162,plain,(
% 2.98/0.76 spl0_83),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f2161])).
% 2.98/0.76 fof(f2164,plain,(
% 2.98/0.76 spl0_86 <=> sk0_61=relation_dom_restriction(empty_set,X0)|in(ordered_pair(ordered_pair(sk0_2(X0,sk0_61,empty_set),sk0_3(X0,sk0_61,empty_set)),ordered_pair(sk0_2(X0,sk0_61,empty_set),sk0_3(X0,sk0_61,empty_set))),identity_relation(sk0_61))|sk0_61=relation_dom_restriction(empty_set,X0)|~in(ordered_pair(sk0_2(X0,sk0_61,empty_set),sk0_3(X0,sk0_61,empty_set)),sk0_61)|~in(ordered_pair(sk0_2(X0,sk0_61,empty_set),sk0_3(X0,sk0_61,empty_set)),empty_set)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2167,plain,(
% 2.98/0.76 ![X0]: (sk0_61=relation_dom_restriction(empty_set,X0)|in(ordered_pair(ordered_pair(sk0_2(X0,sk0_61,empty_set),sk0_3(X0,sk0_61,empty_set)),ordered_pair(sk0_2(X0,sk0_61,empty_set),sk0_3(X0,sk0_61,empty_set))),identity_relation(sk0_61))|~relation(empty_set)|~relation(sk0_61)|sk0_61=relation_dom_restriction(empty_set,X0)|~in(ordered_pair(sk0_2(X0,sk0_61,empty_set),sk0_3(X0,sk0_61,empty_set)),sk0_61)|~in(ordered_pair(sk0_2(X0,sk0_61,empty_set),sk0_3(X0,sk0_61,empty_set)),empty_set))),
% 2.98/0.76 inference(resolution,[status(thm)],[f2141,f238])).
% 2.98/0.76 fof(f2168,plain,(
% 2.98/0.76 spl0_86|~spl0_6|~spl0_58),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2167,f2164,f945,f1304])).
% 2.98/0.76 fof(f2180,plain,(
% 2.98/0.76 spl0_89 <=> sk0_61=relation_dom_restriction(identity_relation(X0),X1)|in(ordered_pair(ordered_pair(sk0_2(X1,sk0_61,identity_relation(X0)),sk0_3(X1,sk0_61,identity_relation(X0))),ordered_pair(sk0_2(X1,sk0_61,identity_relation(X0)),sk0_3(X1,sk0_61,identity_relation(X0)))),identity_relation(sk0_61))|~relation(identity_relation(X0))|sk0_61=relation_dom_restriction(identity_relation(X0),X1)|~in(ordered_pair(sk0_2(X1,sk0_61,identity_relation(X0)),sk0_3(X1,sk0_61,identity_relation(X0))),sk0_61)|~in(ordered_pair(sk0_2(X1,sk0_61,identity_relation(X0)),sk0_3(X1,sk0_61,identity_relation(X0))),identity_relation(X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2183,plain,(
% 2.98/0.76 ![X0,X1]: (sk0_61=relation_dom_restriction(identity_relation(X0),X1)|in(ordered_pair(ordered_pair(sk0_2(X1,sk0_61,identity_relation(X0)),sk0_3(X1,sk0_61,identity_relation(X0))),ordered_pair(sk0_2(X1,sk0_61,identity_relation(X0)),sk0_3(X1,sk0_61,identity_relation(X0)))),identity_relation(sk0_61))|~relation(identity_relation(X0))|~relation(sk0_61)|sk0_61=relation_dom_restriction(identity_relation(X0),X1)|~in(ordered_pair(sk0_2(X1,sk0_61,identity_relation(X0)),sk0_3(X1,sk0_61,identity_relation(X0))),sk0_61)|~in(ordered_pair(sk0_2(X1,sk0_61,identity_relation(X0)),sk0_3(X1,sk0_61,identity_relation(X0))),identity_relation(X0)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f2139,f238])).
% 2.98/0.76 fof(f2184,plain,(
% 2.98/0.76 spl0_89|~spl0_58),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2183,f2180,f1304])).
% 2.98/0.76 fof(f2211,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(set_intersection2(identity_relation(X0),X1))|subset(relation_rng(set_intersection2(identity_relation(X0),X1)),relation_rng(identity_relation(X0))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1951,f457])).
% 2.98/0.76 fof(f2212,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(set_intersection2(identity_relation(X0),X1))|subset(relation_rng(set_intersection2(identity_relation(X0),X1)),X0))),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f801,f2211])).
% 2.98/0.76 fof(f2213,plain,(
% 2.98/0.76 ![X0]: (~relation(set_intersection2(sk0_56,X0))|subset(relation_rng(set_intersection2(sk0_56,X0)),relation_rng(sk0_56)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1951,f566])).
% 2.98/0.76 fof(f2219,plain,(
% 2.98/0.76 ![X0]: (~relation(set_intersection2(sk0_61,X0))|subset(relation_rng(set_intersection2(sk0_61,X0)),relation_rng(sk0_61)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1951,f648])).
% 2.98/0.76 fof(f2220,plain,(
% 2.98/0.76 spl0_90 <=> subset(relation_rng(set_intersection2(identity_relation(X0),empty_set)),X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2223,plain,(
% 2.98/0.76 ![X0]: (~relation(empty_set)|subset(relation_rng(set_intersection2(identity_relation(X0),empty_set)),X0))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f677,f2212])).
% 2.98/0.76 fof(f2224,plain,(
% 2.98/0.76 ~spl0_6|spl0_90),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2223,f945,f2220])).
% 2.98/0.76 fof(f2249,plain,(
% 2.98/0.76 spl0_91 <=> subset(relation_rng(set_difference(empty_set,X0)),relation_rng(empty_set))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2252,plain,(
% 2.98/0.76 ![X0]: (~relation(empty_set)|~relation(empty_set)|subset(relation_rng(set_difference(empty_set,X0)),relation_rng(empty_set)))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f756,f1961])).
% 2.98/0.76 fof(f2253,plain,(
% 2.98/0.76 ~spl0_6|spl0_91),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2252,f945,f2249])).
% 2.98/0.76 fof(f2262,plain,(
% 2.98/0.76 ![X0]: (~relation(set_union2(sk0_56,X0))|subset(relation_rng(sk0_56),relation_rng(set_union2(sk0_56,X0))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1971,f566])).
% 2.98/0.76 fof(f2267,plain,(
% 2.98/0.76 ![X0]: (~relation(set_union2(sk0_61,X0))|subset(relation_rng(sk0_61),relation_rng(set_union2(sk0_61,X0))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1971,f648])).
% 2.98/0.76 fof(f2297,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|~relation(set_union2(X1,X0))|subset(relation_rng(X0),relation_rng(set_union2(X1,X0))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f1975,f671])).
% 2.98/0.76 fof(f2309,plain,(
% 2.98/0.76 relation(relation_inverse(sk0_56))),
% 2.98/0.76 inference(resolution,[status(thm)],[f452,f566])).
% 2.98/0.76 fof(f2310,plain,(
% 2.98/0.76 relation(relation_inverse(empty_set))),
% 2.98/0.76 inference(resolution,[status(thm)],[f452,f491])).
% 2.98/0.76 fof(f2311,plain,(
% 2.98/0.76 relation(relation_inverse(sk0_61))),
% 2.98/0.76 inference(resolution,[status(thm)],[f452,f648])).
% 2.98/0.76 fof(f2325,plain,(
% 2.98/0.76 relation(relation_inverse(relation_inverse(empty_set)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f2310,f452])).
% 2.98/0.76 fof(f2339,plain,(
% 2.98/0.76 ![X0]: (~relation(set_union2(relation_inverse(sk0_61),X0))|subset(relation_rng(relation_inverse(sk0_61)),relation_rng(set_union2(relation_inverse(sk0_61),X0))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f2311,f1971])).
% 2.98/0.76 fof(f2340,plain,(
% 2.98/0.76 ![X0]: (~relation(set_intersection2(relation_inverse(sk0_61),X0))|subset(relation_rng(set_intersection2(relation_inverse(sk0_61),X0)),relation_rng(relation_inverse(sk0_61))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f2311,f1951])).
% 2.98/0.76 fof(f2370,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),sk0_61)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),X0))),
% 2.98/0.76 inference(resolution,[status(thm)],[f240,f648])).
% 2.98/0.76 fof(f2401,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(sk0_2(X1,sk0_61,X0),X1)|in(ordered_pair(sk0_3(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),identity_relation(relation_rng(sk0_61)))|~spl0_80)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2128,f1278])).
% 2.98/0.76 fof(f2403,plain,(
% 2.98/0.76 spl0_104 <=> ~relation(X0)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,X1))|in(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),relation_inverse_image(sk0_61,X1))|~in(sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0),X1)|~relation(X0)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,X1))|~in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0)),sk0_61)|~in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0)),X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2404,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,X1))|in(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),relation_inverse_image(sk0_61,X1))|~in(sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0),X1)|~relation(X0)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,X1))|~in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0)),sk0_61)|~in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0)),X0)|~spl0_104)),
% 2.98/0.76 inference(component_clause,[status(thm)],[f2403])).
% 2.98/0.76 fof(f2406,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,X1))|in(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),relation_inverse_image(sk0_61,X1))|~in(sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0),X1)|~relation(X0)|~relation(sk0_61)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,X1))|~in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0)),sk0_61)|~in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0)),X0)|~spl0_81)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2133,f238])).
% 2.98/0.76 fof(f2407,plain,(
% 2.98/0.76 spl0_104|~spl0_58|~spl0_81),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2406,f2403,f1304,f2132])).
% 2.98/0.76 fof(f2408,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(sk0_2(X1,sk0_61,X0),X1)|~in(sk0_3(X1,sk0_61,X0),X2)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_2(X1,sk0_61,X0)),identity_relation(relation_inverse_image(sk0_61,X2)))|~spl0_81)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2133,f1278])).
% 2.98/0.76 fof(f2410,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,X1))|in(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),relation_inverse_image(sk0_61,X1))|~in(sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0),X1)|~in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0)),sk0_61)|~in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0)),X0)|~spl0_104)),
% 2.98/0.76 inference(duplicate_literals_removal,[status(esa)],[f2404])).
% 2.98/0.76 fof(f2411,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,X1))|in(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),relation_inverse_image(sk0_61,X1))|~in(sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0),X1)|~in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0)),X0)|~spl0_104)),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f2410,f1993])).
% 2.98/0.76 fof(f2412,plain,(
% 2.98/0.76 spl0_105 <=> ~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_3(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),identity_relation(relation_rng(sk0_61)))|~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|~in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),sk0_61)|~in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2415,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_3(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),identity_relation(relation_rng(sk0_61)))|~relation(X0)|~relation(sk0_61)|sk0_61=relation_dom_restriction(X0,X1)|~in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),sk0_61)|~in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),X0)|~spl0_80)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2401,f238])).
% 2.98/0.76 fof(f2416,plain,(
% 2.98/0.76 spl0_105|~spl0_58|~spl0_80),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2415,f2412,f1304,f2127])).
% 2.98/0.76 fof(f2417,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,singleton(X1))|in(ordered_pair(sk0_3(singleton(X1),sk0_61,X0),sk0_3(singleton(X1),sk0_61,X0)),identity_relation(relation_rng(sk0_61)))|sk0_2(singleton(X1),sk0_61,X0)=X1|~spl0_80)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2401,f903])).
% 2.98/0.76 fof(f2418,plain,(
% 2.98/0.76 ![X0]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,empty_set)|in(ordered_pair(sk0_3(empty_set,sk0_61,X0),sk0_3(empty_set,sk0_61,X0)),identity_relation(relation_rng(sk0_61)))|~spl0_80)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2401,f905])).
% 2.98/0.76 fof(f2419,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_3(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),identity_relation(relation_rng(sk0_61)))|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_2(X1,sk0_61,X0)),identity_relation(X1))|~spl0_80)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2401,f1278])).
% 2.98/0.76 fof(f2423,plain,(
% 2.98/0.76 spl0_106 <=> ~relation(X0)|sk0_61=relation_dom_restriction(X0,empty_set)|in(sk0_3(empty_set,sk0_61,X0),relation_rng(identity_relation(relation_rng(sk0_61))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2426,plain,(
% 2.98/0.76 spl0_107 <=> relation(identity_relation(relation_rng(sk0_61)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2428,plain,(
% 2.98/0.76 ~relation(identity_relation(relation_rng(sk0_61)))|spl0_107),
% 2.98/0.76 inference(component_clause,[status(thm)],[f2426])).
% 2.98/0.76 fof(f2429,plain,(
% 2.98/0.76 ![X0]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,empty_set)|~relation(identity_relation(relation_rng(sk0_61)))|in(sk0_3(empty_set,sk0_61,X0),relation_rng(identity_relation(relation_rng(sk0_61))))|~spl0_80)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2418,f928])).
% 2.98/0.76 fof(f2430,plain,(
% 2.98/0.76 spl0_106|~spl0_107|~spl0_80),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2429,f2423,f2426,f2127])).
% 2.98/0.76 fof(f2431,plain,(
% 2.98/0.76 spl0_108 <=> ~relation(X0)|sk0_61=relation_dom_restriction(X0,empty_set)|in(sk0_3(empty_set,sk0_61,X0),relation_inverse_image(identity_relation(relation_rng(sk0_61)),X1))|~in(sk0_3(empty_set,sk0_61,X0),X1)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2434,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,empty_set)|~relation(identity_relation(relation_rng(sk0_61)))|in(sk0_3(empty_set,sk0_61,X0),relation_inverse_image(identity_relation(relation_rng(sk0_61)),X1))|~in(sk0_3(empty_set,sk0_61,X0),X1)|~spl0_80)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2418,f897])).
% 2.98/0.76 fof(f2435,plain,(
% 2.98/0.76 spl0_108|~spl0_107|~spl0_80),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2434,f2431,f2426,f2127])).
% 2.98/0.76 fof(f2438,plain,(
% 2.98/0.76 $false|spl0_107),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f2428,f457])).
% 2.98/0.76 fof(f2439,plain,(
% 2.98/0.76 spl0_107),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f2438])).
% 2.98/0.76 fof(f2443,plain,(
% 2.98/0.76 spl0_109 <=> ~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|~in(sk0_3(X1,sk0_61,X0),X2)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_2(X1,sk0_61,X0)),identity_relation(relation_inverse_image(sk0_61,X2)))|~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|~in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),sk0_61)|~in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2446,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|~in(sk0_3(X1,sk0_61,X0),X2)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_2(X1,sk0_61,X0)),identity_relation(relation_inverse_image(sk0_61,X2)))|~relation(X0)|~relation(sk0_61)|sk0_61=relation_dom_restriction(X0,X1)|~in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),sk0_61)|~in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),X0)|~spl0_81)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2408,f238])).
% 2.98/0.76 fof(f2447,plain,(
% 2.98/0.76 spl0_109|~spl0_58|~spl0_81),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2446,f2443,f1304,f2132])).
% 2.98/0.76 fof(f2456,plain,(
% 2.98/0.76 spl0_110 <=> relation(identity_relation(sk0_61))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2458,plain,(
% 2.98/0.76 ~relation(identity_relation(sk0_61))|spl0_110),
% 2.98/0.76 inference(component_clause,[status(thm)],[f2456])).
% 2.98/0.76 fof(f2471,plain,(
% 2.98/0.76 $false|spl0_110),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f2458,f457])).
% 2.98/0.76 fof(f2472,plain,(
% 2.98/0.76 spl0_110),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f2471])).
% 2.98/0.76 fof(f2522,plain,(
% 2.98/0.76 spl0_119 <=> ~relation(X0)|sk0_61=relation_dom_restriction(X0,singleton(X1))|sk0_2(singleton(X1),sk0_61,X0)=X1|in(sk0_3(singleton(X1),sk0_61,X0),relation_rng(identity_relation(relation_rng(sk0_61))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2525,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,singleton(X1))|sk0_2(singleton(X1),sk0_61,X0)=X1|~relation(identity_relation(relation_rng(sk0_61)))|in(sk0_3(singleton(X1),sk0_61,X0),relation_rng(identity_relation(relation_rng(sk0_61))))|~spl0_80)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2417,f928])).
% 2.98/0.76 fof(f2526,plain,(
% 2.98/0.76 spl0_119|~spl0_107|~spl0_80),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2525,f2522,f2426,f2127])).
% 2.98/0.76 fof(f2527,plain,(
% 2.98/0.76 spl0_120 <=> ~relation(X0)|sk0_61=relation_dom_restriction(X0,singleton(X1))|sk0_2(singleton(X1),sk0_61,X0)=X1|in(sk0_3(singleton(X1),sk0_61,X0),relation_inverse_image(identity_relation(relation_rng(sk0_61)),X2))|~in(sk0_3(singleton(X1),sk0_61,X0),X2)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2530,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,singleton(X1))|sk0_2(singleton(X1),sk0_61,X0)=X1|~relation(identity_relation(relation_rng(sk0_61)))|in(sk0_3(singleton(X1),sk0_61,X0),relation_inverse_image(identity_relation(relation_rng(sk0_61)),X2))|~in(sk0_3(singleton(X1),sk0_61,X0),X2)|~spl0_80)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2417,f897])).
% 2.98/0.76 fof(f2531,plain,(
% 2.98/0.76 spl0_120|~spl0_107|~spl0_80),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2530,f2527,f2426,f2127])).
% 2.98/0.76 fof(f2605,plain,(
% 2.98/0.76 spl0_131 <=> ~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),X0)|in(sk0_3(X1,sk0_61,X0),relation_rng(sk0_61))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2606,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),X0)|in(sk0_3(X1,sk0_61,X0),relation_rng(sk0_61))|~spl0_131)),
% 2.98/0.76 inference(component_clause,[status(thm)],[f2605])).
% 2.98/0.76 fof(f2608,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),X0)|~relation(sk0_61)|in(sk0_3(X1,sk0_61,X0),relation_rng(sk0_61)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f2370,f928])).
% 2.98/0.76 fof(f2609,plain,(
% 2.98/0.76 spl0_131|~spl0_58),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2608,f2605,f1304])).
% 2.98/0.76 fof(f2610,plain,(
% 2.98/0.76 spl0_132 <=> ~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),X0)|in(sk0_2(X1,sk0_61,X0),relation_inverse_image(sk0_61,X2))|~in(sk0_3(X1,sk0_61,X0),X2)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2611,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),X0)|in(sk0_2(X1,sk0_61,X0),relation_inverse_image(sk0_61,X2))|~in(sk0_3(X1,sk0_61,X0),X2)|~spl0_132)),
% 2.98/0.76 inference(component_clause,[status(thm)],[f2610])).
% 2.98/0.76 fof(f2613,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),X0)|~relation(sk0_61)|in(sk0_2(X1,sk0_61,X0),relation_inverse_image(sk0_61,X2))|~in(sk0_3(X1,sk0_61,X0),X2))),
% 2.98/0.76 inference(resolution,[status(thm)],[f2370,f897])).
% 2.98/0.76 fof(f2614,plain,(
% 2.98/0.76 spl0_132|~spl0_58),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2613,f2610,f1304])).
% 2.98/0.76 fof(f2636,plain,(
% 2.98/0.76 spl0_136 <=> ~relation(X0)|subset(relation_rng(set_intersection2(empty_set,X0)),relation_rng(X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2639,plain,(
% 2.98/0.76 ![X0]: (~relation(empty_set)|~relation(X0)|subset(relation_rng(set_intersection2(empty_set,X0)),relation_rng(X0)))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f1955,f1978])).
% 2.98/0.76 fof(f2640,plain,(
% 2.98/0.76 ~spl0_6|spl0_136),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2639,f945,f2636])).
% 2.98/0.76 fof(f2641,plain,(
% 2.98/0.76 spl0_137 <=> subset(relation_rng(set_intersection2(X0,empty_set)),relation_rng(empty_set))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2644,plain,(
% 2.98/0.76 ![X0]: (~relation(empty_set)|~relation(empty_set)|subset(relation_rng(set_intersection2(X0,empty_set)),relation_rng(empty_set)))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f677,f1978])).
% 2.98/0.76 fof(f2645,plain,(
% 2.98/0.76 ~spl0_6|spl0_137),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2644,f945,f2641])).
% 2.98/0.76 fof(f2649,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(set_intersection2(X0,X1))|~relation(X0)|subset(relation_rng(set_intersection2(X1,X0)),relation_rng(X0)))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f215,f1978])).
% 2.98/0.76 fof(f2656,plain,(
% 2.98/0.76 spl0_138 <=> subset(relation_rng(set_intersection2(sk0_56,empty_set)),relation_rng(sk0_56))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2659,plain,(
% 2.98/0.76 ~relation(empty_set)|subset(relation_rng(set_intersection2(sk0_56,empty_set)),relation_rng(sk0_56))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f677,f2213])).
% 2.98/0.76 fof(f2660,plain,(
% 2.98/0.76 ~spl0_6|spl0_138),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2659,f945,f2656])).
% 2.98/0.76 fof(f2661,plain,(
% 2.98/0.76 spl0_139 <=> subset(relation_rng(set_intersection2(sk0_56,sk0_56)),relation_rng(sk0_56))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2664,plain,(
% 2.98/0.76 ~relation(sk0_56)|subset(relation_rng(set_intersection2(sk0_56,sk0_56)),relation_rng(sk0_56))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f510,f2213])).
% 2.98/0.76 fof(f2665,plain,(
% 2.98/0.76 ~spl0_83|spl0_139),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2664,f2146,f2661])).
% 2.98/0.76 fof(f2671,plain,(
% 2.98/0.76 spl0_140 <=> subset(relation_rng(set_intersection2(sk0_61,empty_set)),relation_rng(sk0_61))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2674,plain,(
% 2.98/0.76 ~relation(empty_set)|subset(relation_rng(set_intersection2(sk0_61,empty_set)),relation_rng(sk0_61))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f677,f2219])).
% 2.98/0.76 fof(f2675,plain,(
% 2.98/0.76 ~spl0_6|spl0_140),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2674,f945,f2671])).
% 2.98/0.76 fof(f2676,plain,(
% 2.98/0.76 spl0_141 <=> subset(relation_rng(set_intersection2(sk0_61,sk0_61)),relation_rng(sk0_61))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2679,plain,(
% 2.98/0.76 ~relation(sk0_61)|subset(relation_rng(set_intersection2(sk0_61,sk0_61)),relation_rng(sk0_61))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f510,f2219])).
% 2.98/0.76 fof(f2680,plain,(
% 2.98/0.76 ~spl0_58|spl0_141),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2679,f1304,f2676])).
% 2.98/0.76 fof(f2686,plain,(
% 2.98/0.76 spl0_142 <=> subset(relation_rng(sk0_56),relation_rng(set_union2(sk0_56,empty_set)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2689,plain,(
% 2.98/0.76 ~relation(sk0_56)|subset(relation_rng(sk0_56),relation_rng(set_union2(sk0_56,empty_set)))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f656,f2262])).
% 2.98/0.76 fof(f2690,plain,(
% 2.98/0.76 ~spl0_83|spl0_142),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2689,f2146,f2686])).
% 2.98/0.76 fof(f2691,plain,(
% 2.98/0.76 spl0_143 <=> subset(relation_rng(sk0_56),relation_rng(set_union2(sk0_56,sk0_56)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2694,plain,(
% 2.98/0.76 ~relation(sk0_56)|subset(relation_rng(sk0_56),relation_rng(set_union2(sk0_56,sk0_56)))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f508,f2262])).
% 2.98/0.76 fof(f2695,plain,(
% 2.98/0.76 ~spl0_83|spl0_143),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2694,f2146,f2691])).
% 2.98/0.76 fof(f2700,plain,(
% 2.98/0.76 spl0_144 <=> subset(relation_rng(sk0_61),relation_rng(set_union2(sk0_61,empty_set)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2703,plain,(
% 2.98/0.76 ~relation(sk0_61)|subset(relation_rng(sk0_61),relation_rng(set_union2(sk0_61,empty_set)))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f656,f2267])).
% 2.98/0.76 fof(f2704,plain,(
% 2.98/0.76 ~spl0_58|spl0_144),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2703,f1304,f2700])).
% 2.98/0.76 fof(f2705,plain,(
% 2.98/0.76 spl0_145 <=> subset(relation_rng(sk0_61),relation_rng(set_union2(sk0_61,sk0_61)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2708,plain,(
% 2.98/0.76 ~relation(sk0_61)|subset(relation_rng(sk0_61),relation_rng(set_union2(sk0_61,sk0_61)))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f508,f2267])).
% 2.98/0.76 fof(f2709,plain,(
% 2.98/0.76 ~spl0_58|spl0_145),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2708,f1304,f2705])).
% 2.98/0.76 fof(f2717,plain,(
% 2.98/0.76 spl0_146 <=> ~relation(X0)|subset(relation_rng(empty_set),relation_rng(set_union2(X0,empty_set)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2720,plain,(
% 2.98/0.76 ![X0]: (~relation(empty_set)|~relation(X0)|subset(relation_rng(empty_set),relation_rng(set_union2(X0,empty_set))))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f656,f2297])).
% 2.98/0.76 fof(f2721,plain,(
% 2.98/0.76 ~spl0_6|spl0_146),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2720,f945,f2717])).
% 2.98/0.76 fof(f2725,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|~relation(set_union2(X0,X1))|subset(relation_rng(X0),relation_rng(set_union2(X1,X0))))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f214,f2297])).
% 2.98/0.76 fof(f2780,plain,(
% 2.98/0.76 spl0_151 <=> relation_rng(relation_inverse(relation_inverse(empty_set)))=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2782,plain,(
% 2.98/0.76 ~relation_rng(relation_inverse(relation_inverse(empty_set)))=empty_set|spl0_151),
% 2.98/0.76 inference(component_clause,[status(thm)],[f2780])).
% 2.98/0.76 fof(f2783,plain,(
% 2.98/0.76 spl0_152 <=> relation_inverse(relation_inverse(empty_set))=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2786,plain,(
% 2.98/0.76 ~relation_rng(relation_inverse(relation_inverse(empty_set)))=empty_set|relation_inverse(relation_inverse(empty_set))=empty_set),
% 2.98/0.76 inference(resolution,[status(thm)],[f2325,f785])).
% 2.98/0.76 fof(f2787,plain,(
% 2.98/0.76 ~spl0_151|spl0_152),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2786,f2780,f2783])).
% 2.98/0.76 fof(f2795,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_rng_restriction(X2,X0)|in(ordered_pair(sk0_4(X2,X1,X0),sk0_5(X2,X1,X0)),X1)|~in(X2,sk0_5(X2,X1,X0)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f249,f208])).
% 2.98/0.76 fof(f2796,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),X0)|in(ordered_pair(sk0_3(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),identity_relation(relation_rng(sk0_61)))|~spl0_131)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2606,f1278])).
% 2.98/0.76 fof(f2814,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,X1))|in(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),relation_inverse_image(sk0_61,X1))|~in(sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0),X1)|~spl0_132|~spl0_104)),
% 2.98/0.76 inference(backward_subsumption_resolution,[status(thm)],[f2411,f2611])).
% 2.98/0.76 fof(f2815,plain,(
% 2.98/0.76 spl0_155 <=> ~relation(X0)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,X1))|in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0)),X0)|~in(sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0),X1)|~relation(X0)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,X1))|~in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0)),sk0_61)|~in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0)),X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2818,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,X1))|in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0)),X0)|~in(sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0),X1)|~relation(X0)|~relation(sk0_61)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,X1))|~in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0)),sk0_61)|~in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,X1),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,X1),sk0_61,X0)),X0)|~spl0_132)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2611,f238])).
% 2.98/0.76 fof(f2819,plain,(
% 2.98/0.76 spl0_155|~spl0_58|~spl0_132),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2818,f2815,f1304,f2610])).
% 2.98/0.76 fof(f2823,plain,(
% 2.98/0.76 spl0_156 <=> ~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),X0)|in(sk0_3(X1,sk0_61,X0),relation_rng(identity_relation(relation_rng(sk0_61))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2826,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),X0)|~relation(identity_relation(relation_rng(sk0_61)))|in(sk0_3(X1,sk0_61,X0),relation_rng(identity_relation(relation_rng(sk0_61))))|~spl0_131)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2796,f928])).
% 2.98/0.76 fof(f2827,plain,(
% 2.98/0.76 spl0_156|~spl0_107|~spl0_131),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2826,f2823,f2426,f2605])).
% 2.98/0.76 fof(f2828,plain,(
% 2.98/0.76 spl0_157 <=> ~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),X0)|in(sk0_3(X1,sk0_61,X0),relation_inverse_image(identity_relation(relation_rng(sk0_61)),X2))|~in(sk0_3(X1,sk0_61,X0),X2)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2831,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_3(X1,sk0_61,X0)),X0)|~relation(identity_relation(relation_rng(sk0_61)))|in(sk0_3(X1,sk0_61,X0),relation_inverse_image(identity_relation(relation_rng(sk0_61)),X2))|~in(sk0_3(X1,sk0_61,X0),X2)|~spl0_131)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2796,f897])).
% 2.98/0.76 fof(f2832,plain,(
% 2.98/0.76 spl0_157|~spl0_107|~spl0_131),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2831,f2828,f2426,f2605])).
% 2.98/0.76 fof(f2877,plain,(
% 2.98/0.76 ![X0]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,relation_rng(sk0_61)))|in(sk0_2(relation_inverse_image(sk0_61,relation_rng(sk0_61)),sk0_61,X0),relation_inverse_image(sk0_61,relation_rng(sk0_61)))|~relation(X0)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,relation_rng(sk0_61)))|in(sk0_2(relation_inverse_image(sk0_61,relation_rng(sk0_61)),sk0_61,X0),relation_inverse_image(sk0_61,relation_rng(sk0_61)))|~spl0_132|~spl0_104|~spl0_80)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2814,f2128])).
% 2.98/0.76 fof(f2878,plain,(
% 2.98/0.76 ![X0]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,relation_rng(sk0_61)))|in(sk0_2(relation_inverse_image(sk0_61,relation_rng(sk0_61)),sk0_61,X0),relation_inverse_image(sk0_61,relation_rng(sk0_61)))|~spl0_132|~spl0_104|~spl0_80)),
% 2.98/0.76 inference(duplicate_literals_removal,[status(esa)],[f2877])).
% 2.98/0.76 fof(f2912,plain,(
% 2.98/0.76 spl0_164 <=> relation(relation_inverse(sk0_61))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2914,plain,(
% 2.98/0.76 ~relation(relation_inverse(sk0_61))|spl0_164),
% 2.98/0.76 inference(component_clause,[status(thm)],[f2912])).
% 2.98/0.76 fof(f2915,plain,(
% 2.98/0.76 spl0_165 <=> subset(relation_rng(relation_inverse(sk0_61)),relation_rng(set_union2(relation_inverse(sk0_61),empty_set)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2918,plain,(
% 2.98/0.76 ~relation(relation_inverse(sk0_61))|subset(relation_rng(relation_inverse(sk0_61)),relation_rng(set_union2(relation_inverse(sk0_61),empty_set)))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f656,f2339])).
% 2.98/0.76 fof(f2919,plain,(
% 2.98/0.76 ~spl0_164|spl0_165),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2918,f2912,f2915])).
% 2.98/0.76 fof(f2920,plain,(
% 2.98/0.76 spl0_166 <=> subset(relation_rng(relation_inverse(sk0_61)),relation_rng(set_union2(relation_inverse(sk0_61),relation_inverse(sk0_61))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f2923,plain,(
% 2.98/0.76 ~relation(relation_inverse(sk0_61))|subset(relation_rng(relation_inverse(sk0_61)),relation_rng(set_union2(relation_inverse(sk0_61),relation_inverse(sk0_61))))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f508,f2339])).
% 2.98/0.76 fof(f2924,plain,(
% 2.98/0.76 ~spl0_164|spl0_166),
% 2.98/0.76 inference(split_clause,[status(thm)],[f2923,f2912,f2920])).
% 2.98/0.76 fof(f2927,plain,(
% 2.98/0.76 $false|spl0_164),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f2914,f2311])).
% 2.98/0.76 fof(f2928,plain,(
% 2.98/0.76 spl0_164),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f2927])).
% 2.98/0.76 fof(f2994,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|~relation_rng(relation_rng_restriction(X1,X0))=empty_set|relation_rng_restriction(X1,X0)=empty_set)),
% 2.98/0.76 inference(resolution,[status(thm)],[f469,f785])).
% 2.98/0.76 fof(f3024,plain,(
% 2.98/0.76 relation_inverse(relation_inverse(empty_set))=empty_set),
% 2.98/0.76 inference(resolution,[status(thm)],[f514,f491])).
% 2.98/0.76 fof(f3027,plain,(
% 2.98/0.76 ~relation_rng(empty_set)=empty_set|spl0_151),
% 2.98/0.76 inference(backward_demodulation,[status(thm)],[f3024,f2782])).
% 2.98/0.76 fof(f3028,plain,(
% 2.98/0.76 ~spl0_9|spl0_151),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3027,f965,f2780])).
% 2.98/0.76 fof(f3060,plain,(
% 2.98/0.76 ![X0,X1]: (set_union2(set_difference(X0,X1),X0)=X0)),
% 2.98/0.76 inference(resolution,[status(thm)],[f615,f696])).
% 2.98/0.76 fof(f3061,plain,(
% 2.98/0.76 ![X0,X1]: (set_union2(X0,set_difference(X0,X1))=X0)),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f214,f3060])).
% 2.98/0.76 fof(f3062,plain,(
% 2.98/0.76 ![X0,X1]: (set_union2(set_intersection2(X0,X1),X1)=X1)),
% 2.98/0.76 inference(resolution,[status(thm)],[f615,f1953])).
% 2.98/0.76 fof(f3063,plain,(
% 2.98/0.76 ![X0,X1]: (set_union2(X0,set_intersection2(X1,X0))=X0)),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f214,f3062])).
% 2.98/0.76 fof(f3064,plain,(
% 2.98/0.76 ![X0,X1]: (set_union2(set_intersection2(X0,X1),X0)=X0)),
% 2.98/0.76 inference(resolution,[status(thm)],[f615,f653])).
% 2.98/0.76 fof(f3065,plain,(
% 2.98/0.76 ![X0,X1]: (set_union2(X0,set_intersection2(X0,X1))=X0)),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f214,f3064])).
% 2.98/0.76 fof(f3073,plain,(
% 2.98/0.76 spl0_168 <=> subset(relation_rng(relation_inverse(sk0_61)),relation_rng(set_union2(relation_inverse(sk0_61),set_difference(relation_inverse(sk0_61),X0))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3076,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_inverse(sk0_61))|subset(relation_rng(relation_inverse(sk0_61)),relation_rng(set_union2(relation_inverse(sk0_61),set_difference(relation_inverse(sk0_61),X0)))))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3061,f2339])).
% 2.98/0.76 fof(f3077,plain,(
% 2.98/0.76 ~spl0_164|spl0_168),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3076,f2912,f3073])).
% 2.98/0.76 fof(f3078,plain,(
% 2.98/0.76 spl0_169 <=> subset(relation_rng(sk0_61),relation_rng(set_union2(sk0_61,set_difference(sk0_61,X0))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3081,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_61)|subset(relation_rng(sk0_61),relation_rng(set_union2(sk0_61,set_difference(sk0_61,X0)))))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3061,f2267])).
% 2.98/0.76 fof(f3082,plain,(
% 2.98/0.76 ~spl0_58|spl0_169),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3081,f1304,f3078])).
% 2.98/0.76 fof(f3083,plain,(
% 2.98/0.76 spl0_170 <=> subset(relation_rng(sk0_56),relation_rng(set_union2(sk0_56,set_difference(sk0_56,X0))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3086,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_56)|subset(relation_rng(sk0_56),relation_rng(set_union2(sk0_56,set_difference(sk0_56,X0)))))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3061,f2262])).
% 2.98/0.76 fof(f3087,plain,(
% 2.98/0.76 ~spl0_83|spl0_170),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3086,f2146,f3083])).
% 2.98/0.76 fof(f3110,plain,(
% 2.98/0.76 spl0_171 <=> subset(relation_rng(relation_inverse(sk0_61)),relation_rng(set_union2(relation_inverse(sk0_61),set_intersection2(X0,relation_inverse(sk0_61)))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3113,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_inverse(sk0_61))|subset(relation_rng(relation_inverse(sk0_61)),relation_rng(set_union2(relation_inverse(sk0_61),set_intersection2(X0,relation_inverse(sk0_61))))))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3063,f2339])).
% 2.98/0.76 fof(f3114,plain,(
% 2.98/0.76 ~spl0_164|spl0_171),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3113,f2912,f3110])).
% 2.98/0.76 fof(f3115,plain,(
% 2.98/0.76 spl0_172 <=> subset(relation_rng(sk0_61),relation_rng(set_union2(sk0_61,set_intersection2(X0,sk0_61))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3118,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_61)|subset(relation_rng(sk0_61),relation_rng(set_union2(sk0_61,set_intersection2(X0,sk0_61)))))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3063,f2267])).
% 2.98/0.76 fof(f3119,plain,(
% 2.98/0.76 ~spl0_58|spl0_172),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3118,f1304,f3115])).
% 2.98/0.76 fof(f3120,plain,(
% 2.98/0.76 spl0_173 <=> subset(relation_rng(sk0_56),relation_rng(set_union2(sk0_56,set_intersection2(X0,sk0_56))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3123,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_56)|subset(relation_rng(sk0_56),relation_rng(set_union2(sk0_56,set_intersection2(X0,sk0_56)))))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3063,f2262])).
% 2.98/0.76 fof(f3124,plain,(
% 2.98/0.76 ~spl0_83|spl0_173),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3123,f2146,f3120])).
% 2.98/0.76 fof(f3147,plain,(
% 2.98/0.76 spl0_174 <=> subset(relation_rng(relation_inverse(sk0_61)),relation_rng(set_union2(relation_inverse(sk0_61),set_intersection2(relation_inverse(sk0_61),X0))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3150,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_inverse(sk0_61))|subset(relation_rng(relation_inverse(sk0_61)),relation_rng(set_union2(relation_inverse(sk0_61),set_intersection2(relation_inverse(sk0_61),X0)))))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3065,f2339])).
% 2.98/0.76 fof(f3151,plain,(
% 2.98/0.76 ~spl0_164|spl0_174),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3150,f2912,f3147])).
% 2.98/0.76 fof(f3152,plain,(
% 2.98/0.76 spl0_175 <=> subset(relation_rng(sk0_61),relation_rng(set_union2(sk0_61,set_intersection2(sk0_61,X0))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3155,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_61)|subset(relation_rng(sk0_61),relation_rng(set_union2(sk0_61,set_intersection2(sk0_61,X0)))))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3065,f2267])).
% 2.98/0.76 fof(f3156,plain,(
% 2.98/0.76 ~spl0_58|spl0_175),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3155,f1304,f3152])).
% 2.98/0.76 fof(f3157,plain,(
% 2.98/0.76 spl0_176 <=> subset(relation_rng(sk0_56),relation_rng(set_union2(sk0_56,set_intersection2(sk0_56,X0))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3160,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_56)|subset(relation_rng(sk0_56),relation_rng(set_union2(sk0_56,set_intersection2(sk0_56,X0)))))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3065,f2262])).
% 2.98/0.76 fof(f3161,plain,(
% 2.98/0.76 ~spl0_83|spl0_176),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3160,f2146,f3157])).
% 2.98/0.76 fof(f3182,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_rng_restriction(X2,X0)|in(ordered_pair(sk0_4(X2,X1,X0),sk0_5(X2,X1,X0)),X0)|~relation(X1)|in(sk0_5(X2,X1,X0),relation_rng(X1)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f250,f928])).
% 2.98/0.76 fof(f3183,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_rng_restriction(X2,X0)|in(ordered_pair(sk0_4(X2,X1,X0),sk0_5(X2,X1,X0)),X0)|in(sk0_5(X2,X1,X0),relation_rng(X1)))),
% 2.98/0.76 inference(duplicate_literals_removal,[status(esa)],[f3182])).
% 2.98/0.76 fof(f3184,plain,(
% 2.98/0.76 ![X0,X1,X2,X3]: (~relation(X0)|~relation(X1)|X1=relation_rng_restriction(X2,X0)|in(ordered_pair(sk0_4(X2,X1,X0),sk0_5(X2,X1,X0)),X0)|~relation(X1)|in(sk0_4(X2,X1,X0),relation_inverse_image(X1,X3))|~in(sk0_5(X2,X1,X0),X3))),
% 2.98/0.76 inference(resolution,[status(thm)],[f250,f897])).
% 2.98/0.76 fof(f3185,plain,(
% 2.98/0.76 ![X0,X1,X2,X3]: (~relation(X0)|~relation(X1)|X1=relation_rng_restriction(X2,X0)|in(ordered_pair(sk0_4(X2,X1,X0),sk0_5(X2,X1,X0)),X0)|in(sk0_4(X2,X1,X0),relation_inverse_image(X1,X3))|~in(sk0_5(X2,X1,X0),X3))),
% 2.98/0.76 inference(duplicate_literals_removal,[status(esa)],[f3184])).
% 2.98/0.76 fof(f3187,plain,(
% 2.98/0.76 spl0_177 <=> ~relation(X0)|empty_set=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,empty_set,X0),sk0_5(X1,empty_set,X0)),X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3188,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|empty_set=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,empty_set,X0),sk0_5(X1,empty_set,X0)),X0)|~spl0_177)),
% 2.98/0.76 inference(component_clause,[status(thm)],[f3187])).
% 2.98/0.76 fof(f3190,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|~relation(empty_set)|empty_set=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,empty_set,X0),sk0_5(X1,empty_set,X0)),X0))),
% 2.98/0.76 inference(resolution,[status(thm)],[f250,f905])).
% 2.98/0.76 fof(f3191,plain,(
% 2.98/0.76 spl0_177|~spl0_6),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3190,f3187,f945])).
% 2.98/0.76 fof(f3193,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_rng_restriction(X2,X0)|in(ordered_pair(sk0_4(X2,X1,X0),sk0_5(X2,X1,X0)),X0)|~in(X1,ordered_pair(sk0_4(X2,X1,X0),sk0_5(X2,X1,X0))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f250,f208])).
% 2.98/0.76 fof(f3198,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_image(X0,X2))|~relation(X0)|in(X1,relation_rng(X0)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f892,f928])).
% 2.98/0.76 fof(f3199,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_image(X0,X2))|in(X1,relation_rng(X0)))),
% 2.98/0.76 inference(duplicate_literals_removal,[status(esa)],[f3198])).
% 2.98/0.76 fof(f3200,plain,(
% 2.98/0.76 ![X0,X1,X2,X3]: (~relation(X0)|~in(X1,relation_image(X0,X2))|~relation(X0)|in(sk0_6(X1,relation_image(X0,X2),X2,X0),relation_inverse_image(X0,X3))|~in(X1,X3))),
% 2.98/0.76 inference(resolution,[status(thm)],[f892,f897])).
% 2.98/0.76 fof(f3201,plain,(
% 2.98/0.76 ![X0,X1,X2,X3]: (~relation(X0)|~in(X1,relation_image(X0,X2))|in(sk0_6(X1,relation_image(X0,X2),X2,X0),relation_inverse_image(X0,X3))|~in(X1,X3))),
% 2.98/0.76 inference(duplicate_literals_removal,[status(esa)],[f3200])).
% 2.98/0.76 fof(f3203,plain,(
% 2.98/0.76 spl0_178 <=> ~in(X0,relation_image(empty_set,X1))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3204,plain,(
% 2.98/0.76 ![X0,X1]: (~in(X0,relation_image(empty_set,X1))|~spl0_178)),
% 2.98/0.76 inference(component_clause,[status(thm)],[f3203])).
% 2.98/0.76 fof(f3206,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(empty_set)|~in(X0,relation_image(empty_set,X1)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f892,f905])).
% 2.98/0.76 fof(f3207,plain,(
% 2.98/0.76 ~spl0_6|spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3206,f945,f3203])).
% 2.98/0.76 fof(f3209,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_image(X0,X2))|~in(X0,ordered_pair(sk0_6(X1,relation_image(X0,X2),X2,X0),X1)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f892,f208])).
% 2.98/0.76 fof(f3213,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_image(X0,X2))|~in(X2,sk0_6(X1,relation_image(X0,X2),X2,X0)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f893,f208])).
% 2.98/0.76 fof(f3258,plain,(
% 2.98/0.76 spl0_181 <=> ~relation(X0)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,relation_rng(sk0_61)))|~relation(X0)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,relation_rng(sk0_61)))|~in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,relation_rng(sk0_61)),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,relation_rng(sk0_61)),sk0_61,X0)),sk0_61)|~in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,relation_rng(sk0_61)),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,relation_rng(sk0_61)),sk0_61,X0)),X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3261,plain,(
% 2.98/0.76 ![X0]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,relation_rng(sk0_61)))|~relation(X0)|~relation(sk0_61)|sk0_61=relation_dom_restriction(X0,relation_inverse_image(sk0_61,relation_rng(sk0_61)))|~in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,relation_rng(sk0_61)),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,relation_rng(sk0_61)),sk0_61,X0)),sk0_61)|~in(ordered_pair(sk0_2(relation_inverse_image(sk0_61,relation_rng(sk0_61)),sk0_61,X0),sk0_3(relation_inverse_image(sk0_61,relation_rng(sk0_61)),sk0_61,X0)),X0)|~spl0_132|~spl0_104|~spl0_80)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2878,f238])).
% 2.98/0.76 fof(f3262,plain,(
% 2.98/0.76 spl0_181|~spl0_58|~spl0_132|~spl0_104|~spl0_80),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3261,f3258,f1304,f2610,f2403,f2127])).
% 2.98/0.76 fof(f3267,plain,(
% 2.98/0.76 spl0_182 <=> ~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_2(X1,sk0_61,X0)),identity_relation(X1))|in(sk0_3(X1,sk0_61,X0),relation_rng(identity_relation(relation_rng(sk0_61))))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3270,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_2(X1,sk0_61,X0)),identity_relation(X1))|~relation(identity_relation(relation_rng(sk0_61)))|in(sk0_3(X1,sk0_61,X0),relation_rng(identity_relation(relation_rng(sk0_61))))|~spl0_80)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2419,f928])).
% 2.98/0.76 fof(f3271,plain,(
% 2.98/0.76 spl0_182|~spl0_107|~spl0_80),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3270,f3267,f2426,f2127])).
% 2.98/0.76 fof(f3272,plain,(
% 2.98/0.76 spl0_183 <=> ~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_2(X1,sk0_61,X0)),identity_relation(X1))|in(sk0_3(X1,sk0_61,X0),relation_inverse_image(identity_relation(relation_rng(sk0_61)),X2))|~in(sk0_3(X1,sk0_61,X0),X2)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3275,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|sk0_61=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_61,X0),sk0_2(X1,sk0_61,X0)),identity_relation(X1))|~relation(identity_relation(relation_rng(sk0_61)))|in(sk0_3(X1,sk0_61,X0),relation_inverse_image(identity_relation(relation_rng(sk0_61)),X2))|~in(sk0_3(X1,sk0_61,X0),X2)|~spl0_80)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2419,f897])).
% 2.98/0.76 fof(f3276,plain,(
% 2.98/0.76 spl0_183|~spl0_107|~spl0_80),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3275,f3272,f2426,f2127])).
% 2.98/0.76 fof(f3294,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_image(X0,relation_image(empty_set,X2)))|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3204,f893])).
% 2.98/0.76 fof(f3295,plain,(
% 2.98/0.76 ![X0]: (relation_image(empty_set,X0)=empty_set|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3204,f301])).
% 2.98/0.76 fof(f3296,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_rng_restriction(relation_image(empty_set,X2),X0)|in(ordered_pair(sk0_4(relation_image(empty_set,X2),X1,X0),sk0_5(relation_image(empty_set,X2),X1,X0)),X1)|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3204,f249])).
% 2.98/0.76 fof(f3305,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|X0=identity_relation(relation_image(empty_set,X1))|in(ordered_pair(sk0_0(relation_image(empty_set,X1),X0),sk0_1(relation_image(empty_set,X1),X0)),X0)|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3204,f224])).
% 2.98/0.76 fof(f3307,plain,(
% 2.98/0.76 spl0_186 <=> ~in(X0,relation_image(empty_set,X1))|in(sk0_6(X0,empty_set,X1,empty_set),X1)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3310,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(empty_set)|~in(X0,relation_image(empty_set,X1))|in(sk0_6(X0,empty_set,X1,empty_set),X1)|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3295,f893])).
% 2.98/0.76 fof(f3311,plain,(
% 2.98/0.76 ~spl0_6|spl0_186|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3310,f945,f3307,f3203])).
% 2.98/0.76 fof(f3312,plain,(
% 2.98/0.76 spl0_187 <=> ~in(X0,relation_image(empty_set,X1))|in(ordered_pair(sk0_6(X0,empty_set,X1,empty_set),X0),empty_set)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3315,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(empty_set)|~in(X0,relation_image(empty_set,X1))|in(ordered_pair(sk0_6(X0,empty_set,X1,empty_set),X0),empty_set)|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3295,f892])).
% 2.98/0.76 fof(f3316,plain,(
% 2.98/0.76 ~spl0_6|spl0_187|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3315,f945,f3312,f3203])).
% 2.98/0.76 fof(f3320,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|~in(X1,relation_image(X0,empty_set))|~spl0_178)),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f3295,f3294])).
% 2.98/0.76 fof(f3324,plain,(
% 2.98/0.76 ![X0]: (~in(X0,relation_image(relation_inverse(sk0_61),empty_set))|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3320,f2311])).
% 2.98/0.76 fof(f3325,plain,(
% 2.98/0.76 ![X0]: (~in(X0,relation_image(relation_inverse(empty_set),empty_set))|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3320,f2310])).
% 2.98/0.76 fof(f3326,plain,(
% 2.98/0.76 ![X0]: (~in(X0,relation_image(relation_inverse(sk0_56),empty_set))|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3320,f2309])).
% 2.98/0.76 fof(f3328,plain,(
% 2.98/0.76 ![X0]: (~in(X0,relation_image(sk0_56,empty_set))|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3320,f566])).
% 2.98/0.76 fof(f3331,plain,(
% 2.98/0.76 ![X0]: (~in(X0,relation_image(sk0_61,empty_set))|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3320,f648])).
% 2.98/0.76 fof(f3333,plain,(
% 2.98/0.76 relation_image(sk0_56,empty_set)=empty_set|~spl0_178),
% 2.98/0.76 inference(resolution,[status(thm)],[f3328,f301])).
% 2.98/0.76 fof(f3355,plain,(
% 2.98/0.76 spl0_192 <=> relation(relation_image(sk0_56,empty_set))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3357,plain,(
% 2.98/0.76 ~relation(relation_image(sk0_56,empty_set))|spl0_192),
% 2.98/0.76 inference(component_clause,[status(thm)],[f3355])).
% 2.98/0.76 fof(f3358,plain,(
% 2.98/0.76 spl0_193 <=> ~in(X0,relation_image(relation_image(sk0_56,empty_set),X1))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3361,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(relation_image(sk0_56,empty_set))|~in(X0,relation_image(relation_image(sk0_56,empty_set),X1))|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3328,f892])).
% 2.98/0.76 fof(f3362,plain,(
% 2.98/0.76 ~spl0_192|spl0_193|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3361,f3355,f3358,f3203])).
% 2.98/0.76 fof(f3363,plain,(
% 2.98/0.76 spl0_194 <=> ~relation(X0)|relation_image(sk0_56,empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_image(sk0_56,empty_set),X0),sk0_5(X1,relation_image(sk0_56,empty_set),X0)),X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3366,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|~relation(relation_image(sk0_56,empty_set))|relation_image(sk0_56,empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_image(sk0_56,empty_set),X0),sk0_5(X1,relation_image(sk0_56,empty_set),X0)),X0)|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3328,f250])).
% 2.98/0.76 fof(f3367,plain,(
% 2.98/0.76 spl0_194|~spl0_192|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3366,f3363,f3355,f3203])).
% 2.98/0.76 fof(f3370,plain,(
% 2.98/0.76 spl0_195 <=> ~in(X0,relation_image(sk0_56,empty_set))|in(sk0_6(X0,empty_set,empty_set,sk0_56),empty_set)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3373,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_56)|~in(X0,relation_image(sk0_56,empty_set))|in(sk0_6(X0,empty_set,empty_set,sk0_56),empty_set)|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3333,f893])).
% 2.98/0.76 fof(f3374,plain,(
% 2.98/0.76 ~spl0_83|spl0_195|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3373,f2146,f3370,f3203])).
% 2.98/0.76 fof(f3375,plain,(
% 2.98/0.76 spl0_196 <=> ~in(X0,relation_image(sk0_56,empty_set))|in(ordered_pair(sk0_6(X0,empty_set,empty_set,sk0_56),X0),sk0_56)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3378,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_56)|~in(X0,relation_image(sk0_56,empty_set))|in(ordered_pair(sk0_6(X0,empty_set,empty_set,sk0_56),X0),sk0_56)|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3333,f892])).
% 2.98/0.76 fof(f3379,plain,(
% 2.98/0.76 ~spl0_83|spl0_196|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3378,f2146,f3375,f3203])).
% 2.98/0.76 fof(f3383,plain,(
% 2.98/0.76 ~relation(empty_set)|~spl0_178|spl0_192),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f3333,f3357])).
% 2.98/0.76 fof(f3384,plain,(
% 2.98/0.76 $false|~spl0_178|spl0_192),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f3383,f491])).
% 2.98/0.76 fof(f3385,plain,(
% 2.98/0.76 ~spl0_178|spl0_192),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f3384])).
% 2.98/0.76 fof(f3393,plain,(
% 2.98/0.76 relation_image(sk0_61,empty_set)=empty_set|~spl0_178),
% 2.98/0.76 inference(resolution,[status(thm)],[f3331,f301])).
% 2.98/0.76 fof(f3415,plain,(
% 2.98/0.76 spl0_201 <=> relation(relation_image(sk0_61,empty_set))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3417,plain,(
% 2.98/0.76 ~relation(relation_image(sk0_61,empty_set))|spl0_201),
% 2.98/0.76 inference(component_clause,[status(thm)],[f3415])).
% 2.98/0.76 fof(f3418,plain,(
% 2.98/0.76 spl0_202 <=> ~in(X0,relation_image(relation_image(sk0_61,empty_set),X1))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3421,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(relation_image(sk0_61,empty_set))|~in(X0,relation_image(relation_image(sk0_61,empty_set),X1))|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3331,f892])).
% 2.98/0.76 fof(f3422,plain,(
% 2.98/0.76 ~spl0_201|spl0_202|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3421,f3415,f3418,f3203])).
% 2.98/0.76 fof(f3423,plain,(
% 2.98/0.76 spl0_203 <=> ~relation(X0)|relation_image(sk0_61,empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_image(sk0_61,empty_set),X0),sk0_5(X1,relation_image(sk0_61,empty_set),X0)),X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3426,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|~relation(relation_image(sk0_61,empty_set))|relation_image(sk0_61,empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_image(sk0_61,empty_set),X0),sk0_5(X1,relation_image(sk0_61,empty_set),X0)),X0)|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3331,f250])).
% 2.98/0.76 fof(f3427,plain,(
% 2.98/0.76 spl0_203|~spl0_201|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3426,f3423,f3415,f3203])).
% 2.98/0.76 fof(f3430,plain,(
% 2.98/0.76 spl0_204 <=> ~in(X0,relation_image(sk0_61,empty_set))|in(sk0_6(X0,empty_set,empty_set,sk0_61),empty_set)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3433,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_61)|~in(X0,relation_image(sk0_61,empty_set))|in(sk0_6(X0,empty_set,empty_set,sk0_61),empty_set)|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3393,f893])).
% 2.98/0.76 fof(f3434,plain,(
% 2.98/0.76 ~spl0_58|spl0_204|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3433,f1304,f3430,f3203])).
% 2.98/0.76 fof(f3435,plain,(
% 2.98/0.76 spl0_205 <=> ~in(X0,relation_image(sk0_61,empty_set))|in(ordered_pair(sk0_6(X0,empty_set,empty_set,sk0_61),X0),sk0_61)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3438,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_61)|~in(X0,relation_image(sk0_61,empty_set))|in(ordered_pair(sk0_6(X0,empty_set,empty_set,sk0_61),X0),sk0_61)|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3393,f892])).
% 2.98/0.76 fof(f3439,plain,(
% 2.98/0.76 ~spl0_58|spl0_205|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3438,f1304,f3435,f3203])).
% 2.98/0.76 fof(f3443,plain,(
% 2.98/0.76 ~relation(empty_set)|~spl0_178|spl0_201),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f3393,f3417])).
% 2.98/0.76 fof(f3444,plain,(
% 2.98/0.76 $false|~spl0_178|spl0_201),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f3443,f491])).
% 2.98/0.76 fof(f3445,plain,(
% 2.98/0.76 ~spl0_178|spl0_201),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f3444])).
% 2.98/0.76 fof(f3473,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(identity_relation(X0))|empty_set=relation_rng_restriction(X1,identity_relation(X0))|sk0_4(X1,empty_set,identity_relation(X0))=sk0_5(X1,empty_set,identity_relation(X0))|~spl0_177)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3188,f1277])).
% 2.98/0.76 fof(f3474,plain,(
% 2.98/0.76 ![X0,X1]: (empty_set=relation_rng_restriction(X0,identity_relation(X1))|sk0_4(X0,empty_set,identity_relation(X1))=sk0_5(X0,empty_set,identity_relation(X1))|~spl0_177)),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f3473,f457])).
% 2.98/0.76 fof(f3477,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|empty_set=relation_rng_restriction(X1,X0)|~relation(X0)|in(sk0_5(X1,empty_set,X0),relation_rng(X0))|~spl0_177)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3188,f928])).
% 2.98/0.76 fof(f3478,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|empty_set=relation_rng_restriction(X1,X0)|in(sk0_5(X1,empty_set,X0),relation_rng(X0))|~spl0_177)),
% 2.98/0.76 inference(duplicate_literals_removal,[status(esa)],[f3477])).
% 2.98/0.76 fof(f3479,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|empty_set=relation_rng_restriction(X1,X0)|~relation(X0)|in(sk0_4(X1,empty_set,X0),relation_inverse_image(X0,X2))|~in(sk0_5(X1,empty_set,X0),X2)|~spl0_177)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3188,f897])).
% 2.98/0.76 fof(f3480,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|empty_set=relation_rng_restriction(X1,X0)|in(sk0_4(X1,empty_set,X0),relation_inverse_image(X0,X2))|~in(sk0_5(X1,empty_set,X0),X2)|~spl0_177)),
% 2.98/0.76 inference(duplicate_literals_removal,[status(esa)],[f3479])).
% 2.98/0.76 fof(f3482,plain,(
% 2.98/0.76 spl0_206 <=> empty_set=relation_rng_restriction(X0,empty_set)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3485,plain,(
% 2.98/0.76 ![X0]: (~relation(empty_set)|empty_set=relation_rng_restriction(X0,empty_set)|~spl0_177)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3188,f905])).
% 2.98/0.76 fof(f3486,plain,(
% 2.98/0.76 ~spl0_6|spl0_206|~spl0_177),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3485,f945,f3482,f3187])).
% 2.98/0.76 fof(f3487,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|empty_set=relation_rng_restriction(X1,X0)|in(ordered_pair(ordered_pair(sk0_4(X1,empty_set,X0),sk0_5(X1,empty_set,X0)),ordered_pair(sk0_4(X1,empty_set,X0),sk0_5(X1,empty_set,X0))),identity_relation(X0))|~spl0_177)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3188,f1278])).
% 2.98/0.76 fof(f3489,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_rng_restriction(empty_set,X0)|in(ordered_pair(sk0_4(relation_image(empty_set,X2),X1,X0),sk0_5(relation_image(empty_set,X2),X1,X0)),X1)|~spl0_178)),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f3295,f3296])).
% 2.98/0.76 fof(f3490,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_rng_restriction(empty_set,X0)|in(ordered_pair(sk0_4(empty_set,X1,X0),sk0_5(relation_image(empty_set,X2),X1,X0)),X1)|~spl0_178)),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f3295,f3489])).
% 2.98/0.76 fof(f3491,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|~relation(X1)|X1=relation_rng_restriction(empty_set,X0)|in(ordered_pair(sk0_4(empty_set,X1,X0),sk0_5(empty_set,X1,X0)),X1)|~spl0_178)),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f3295,f3490])).
% 2.98/0.76 fof(f3501,plain,(
% 2.98/0.76 spl0_207 <=> ~relation(X0)|empty_set=relation_rng_restriction(empty_set,X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3504,plain,(
% 2.98/0.76 ![X0]: (~relation(X0)|~relation(empty_set)|empty_set=relation_rng_restriction(empty_set,X0)|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3491,f905])).
% 2.98/0.76 fof(f3505,plain,(
% 2.98/0.76 spl0_207|~spl0_6|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3504,f3501,f945,f3203])).
% 2.98/0.76 fof(f3516,plain,(
% 2.98/0.76 spl0_208 <=> subset(relation_rng(set_intersection2(relation_inverse(sk0_61),empty_set)),relation_rng(relation_inverse(sk0_61)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3519,plain,(
% 2.98/0.76 ~relation(empty_set)|subset(relation_rng(set_intersection2(relation_inverse(sk0_61),empty_set)),relation_rng(relation_inverse(sk0_61)))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f677,f2340])).
% 2.98/0.76 fof(f3520,plain,(
% 2.98/0.76 ~spl0_6|spl0_208),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3519,f945,f3516])).
% 2.98/0.76 fof(f3521,plain,(
% 2.98/0.76 spl0_209 <=> subset(relation_rng(set_intersection2(relation_inverse(sk0_61),relation_inverse(sk0_61))),relation_rng(relation_inverse(sk0_61)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3524,plain,(
% 2.98/0.76 ~relation(relation_inverse(sk0_61))|subset(relation_rng(set_intersection2(relation_inverse(sk0_61),relation_inverse(sk0_61))),relation_rng(relation_inverse(sk0_61)))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f510,f2340])).
% 2.98/0.76 fof(f3525,plain,(
% 2.98/0.76 ~spl0_164|spl0_209),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3524,f2912,f3521])).
% 2.98/0.76 fof(f3540,plain,(
% 2.98/0.76 ![X0,X1]: (~in(X0,relation_image(sk0_56,X1))|in(X0,relation_rng(sk0_56)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f3199,f566])).
% 2.98/0.76 fof(f3543,plain,(
% 2.98/0.76 ![X0,X1]: (~in(X0,relation_image(sk0_61,X1))|in(X0,relation_rng(sk0_61)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f3199,f648])).
% 2.98/0.76 fof(f3568,plain,(
% 2.98/0.76 spl0_210 <=> ~in(ordered_pair(X0,X1),relation_image(sk0_56,X2))|in(X1,relation_rng(relation_rng(sk0_56)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3571,plain,(
% 2.98/0.76 spl0_211 <=> relation(relation_rng(sk0_56))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3574,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~in(ordered_pair(X0,X1),relation_image(sk0_56,X2))|~relation(relation_rng(sk0_56))|in(X1,relation_rng(relation_rng(sk0_56))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f3540,f928])).
% 2.98/0.76 fof(f3575,plain,(
% 2.98/0.76 spl0_210|~spl0_211),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3574,f3568,f3571])).
% 2.98/0.76 fof(f3576,plain,(
% 2.98/0.76 spl0_212 <=> ~in(ordered_pair(X0,X1),relation_image(sk0_56,X2))|in(X0,relation_inverse_image(relation_rng(sk0_56),X3))|~in(X1,X3)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3579,plain,(
% 2.98/0.76 ![X0,X1,X2,X3]: (~in(ordered_pair(X0,X1),relation_image(sk0_56,X2))|~relation(relation_rng(sk0_56))|in(X0,relation_inverse_image(relation_rng(sk0_56),X3))|~in(X1,X3))),
% 2.98/0.76 inference(resolution,[status(thm)],[f3540,f897])).
% 2.98/0.76 fof(f3580,plain,(
% 2.98/0.76 spl0_212|~spl0_211),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3579,f3576,f3571])).
% 2.98/0.76 fof(f3582,plain,(
% 2.98/0.76 ![X0,X1]: (~in(X0,relation_image(sk0_56,X1))|~in(relation_rng(sk0_56),X0))),
% 2.98/0.76 inference(resolution,[status(thm)],[f3540,f208])).
% 2.98/0.76 fof(f3611,plain,(
% 2.98/0.76 ![X0]: (~relation_rng(relation_rng_restriction(X0,sk0_56))=empty_set|relation_rng_restriction(X0,sk0_56)=empty_set)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2994,f566])).
% 2.98/0.76 fof(f3613,plain,(
% 2.98/0.76 ![X0]: (~relation_rng(relation_rng_restriction(X0,sk0_61))=empty_set|relation_rng_restriction(X0,sk0_61)=empty_set)),
% 2.98/0.76 inference(resolution,[status(thm)],[f2994,f648])).
% 2.98/0.76 fof(f3621,plain,(
% 2.98/0.76 ![X0,X1]: (set_intersection2(X0,set_union2(X1,X0))=X0)),
% 2.98/0.76 inference(resolution,[status(thm)],[f676,f1975])).
% 2.98/0.76 fof(f3622,plain,(
% 2.98/0.76 ![X0,X1]: (set_intersection2(X0,set_union2(X0,X1))=X0)),
% 2.98/0.76 inference(resolution,[status(thm)],[f676,f811])).
% 2.98/0.76 fof(f3635,plain,(
% 2.98/0.76 spl0_213 <=> subset(relation_rng(set_intersection2(relation_inverse(sk0_61),set_union2(X0,relation_inverse(sk0_61)))),relation_rng(relation_inverse(sk0_61)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3638,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_inverse(sk0_61))|subset(relation_rng(set_intersection2(relation_inverse(sk0_61),set_union2(X0,relation_inverse(sk0_61)))),relation_rng(relation_inverse(sk0_61))))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3621,f2340])).
% 2.98/0.76 fof(f3639,plain,(
% 2.98/0.76 ~spl0_164|spl0_213),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3638,f2912,f3635])).
% 2.98/0.76 fof(f3640,plain,(
% 2.98/0.76 spl0_214 <=> subset(relation_rng(set_intersection2(sk0_61,set_union2(X0,sk0_61))),relation_rng(sk0_61))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3643,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_61)|subset(relation_rng(set_intersection2(sk0_61,set_union2(X0,sk0_61))),relation_rng(sk0_61)))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3621,f2219])).
% 2.98/0.76 fof(f3644,plain,(
% 2.98/0.76 ~spl0_58|spl0_214),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3643,f1304,f3640])).
% 2.98/0.76 fof(f3645,plain,(
% 2.98/0.76 spl0_215 <=> subset(relation_rng(set_intersection2(sk0_56,set_union2(X0,sk0_56))),relation_rng(sk0_56))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3648,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_56)|subset(relation_rng(set_intersection2(sk0_56,set_union2(X0,sk0_56))),relation_rng(sk0_56)))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3621,f2213])).
% 2.98/0.76 fof(f3649,plain,(
% 2.98/0.76 ~spl0_83|spl0_215),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3648,f2146,f3645])).
% 2.98/0.76 fof(f3675,plain,(
% 2.98/0.76 spl0_216 <=> subset(relation_rng(set_intersection2(relation_inverse(sk0_61),set_union2(relation_inverse(sk0_61),X0))),relation_rng(relation_inverse(sk0_61)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3678,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_inverse(sk0_61))|subset(relation_rng(set_intersection2(relation_inverse(sk0_61),set_union2(relation_inverse(sk0_61),X0))),relation_rng(relation_inverse(sk0_61))))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3622,f2340])).
% 2.98/0.76 fof(f3679,plain,(
% 2.98/0.76 ~spl0_164|spl0_216),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3678,f2912,f3675])).
% 2.98/0.76 fof(f3680,plain,(
% 2.98/0.76 spl0_217 <=> subset(relation_rng(set_intersection2(sk0_61,set_union2(sk0_61,X0))),relation_rng(sk0_61))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3683,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_61)|subset(relation_rng(set_intersection2(sk0_61,set_union2(sk0_61,X0))),relation_rng(sk0_61)))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3622,f2219])).
% 2.98/0.76 fof(f3684,plain,(
% 2.98/0.76 ~spl0_58|spl0_217),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3683,f1304,f3680])).
% 2.98/0.76 fof(f3685,plain,(
% 2.98/0.76 spl0_218 <=> subset(relation_rng(set_intersection2(sk0_56,set_union2(sk0_56,X0))),relation_rng(sk0_56))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3688,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_56)|subset(relation_rng(set_intersection2(sk0_56,set_union2(sk0_56,X0))),relation_rng(sk0_56)))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3622,f2213])).
% 2.98/0.76 fof(f3689,plain,(
% 2.98/0.76 ~spl0_83|spl0_218),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3688,f2146,f3685])).
% 2.98/0.76 fof(f3740,plain,(
% 2.98/0.76 ![X0,X1,X2]: (in(X0,relation_image(sk0_61,X1))|~in(ordered_pair(X2,X0),sk0_61)|~in(X2,X1))),
% 2.98/0.76 inference(resolution,[status(thm)],[f894,f648])).
% 2.98/0.76 fof(f3751,plain,(
% 2.98/0.76 relation_image(relation_inverse(sk0_61),empty_set)=empty_set|~spl0_178),
% 2.98/0.76 inference(resolution,[status(thm)],[f3324,f301])).
% 2.98/0.76 fof(f3773,plain,(
% 2.98/0.76 spl0_223 <=> relation(relation_image(relation_inverse(sk0_61),empty_set))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3775,plain,(
% 2.98/0.76 ~relation(relation_image(relation_inverse(sk0_61),empty_set))|spl0_223),
% 2.98/0.76 inference(component_clause,[status(thm)],[f3773])).
% 2.98/0.76 fof(f3776,plain,(
% 2.98/0.76 spl0_224 <=> ~in(X0,relation_image(relation_image(relation_inverse(sk0_61),empty_set),X1))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3779,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(relation_image(relation_inverse(sk0_61),empty_set))|~in(X0,relation_image(relation_image(relation_inverse(sk0_61),empty_set),X1))|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3324,f892])).
% 2.98/0.76 fof(f3780,plain,(
% 2.98/0.76 ~spl0_223|spl0_224|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3779,f3773,f3776,f3203])).
% 2.98/0.76 fof(f3781,plain,(
% 2.98/0.76 spl0_225 <=> ~relation(X0)|relation_image(relation_inverse(sk0_61),empty_set)=relation_rng_restriction(empty_set,X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3782,plain,(
% 2.98/0.76 ![X0]: (~relation(X0)|relation_image(relation_inverse(sk0_61),empty_set)=relation_rng_restriction(empty_set,X0)|~spl0_225)),
% 2.98/0.76 inference(component_clause,[status(thm)],[f3781])).
% 2.98/0.76 fof(f3784,plain,(
% 2.98/0.76 ![X0]: (~relation(X0)|~relation(relation_image(relation_inverse(sk0_61),empty_set))|relation_image(relation_inverse(sk0_61),empty_set)=relation_rng_restriction(empty_set,X0)|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3324,f3491])).
% 2.98/0.76 fof(f3785,plain,(
% 2.98/0.76 spl0_225|~spl0_223|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3784,f3781,f3773,f3203])).
% 2.98/0.76 fof(f3786,plain,(
% 2.98/0.76 spl0_226 <=> empty_set=relation_rng_restriction(X0,relation_image(relation_inverse(sk0_61),empty_set))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3789,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_image(relation_inverse(sk0_61),empty_set))|empty_set=relation_rng_restriction(X0,relation_image(relation_inverse(sk0_61),empty_set))|~spl0_178|~spl0_177)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3324,f3188])).
% 2.98/0.76 fof(f3790,plain,(
% 2.98/0.76 ~spl0_223|spl0_226|~spl0_178|~spl0_177),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3789,f3773,f3786,f3203,f3187])).
% 2.98/0.76 fof(f3791,plain,(
% 2.98/0.76 spl0_227 <=> ~relation(X0)|relation_image(relation_inverse(sk0_61),empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_image(relation_inverse(sk0_61),empty_set),X0),sk0_5(X1,relation_image(relation_inverse(sk0_61),empty_set),X0)),X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3794,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|~relation(relation_image(relation_inverse(sk0_61),empty_set))|relation_image(relation_inverse(sk0_61),empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_image(relation_inverse(sk0_61),empty_set),X0),sk0_5(X1,relation_image(relation_inverse(sk0_61),empty_set),X0)),X0)|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3324,f250])).
% 2.98/0.76 fof(f3795,plain,(
% 2.98/0.76 spl0_227|~spl0_223|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3794,f3791,f3773,f3203])).
% 2.98/0.76 fof(f3798,plain,(
% 2.98/0.76 spl0_228 <=> ~in(X0,relation_image(relation_inverse(sk0_61),empty_set))|in(sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_61)),empty_set)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3801,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_inverse(sk0_61))|~in(X0,relation_image(relation_inverse(sk0_61),empty_set))|in(sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_61)),empty_set)|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3751,f893])).
% 2.98/0.76 fof(f3802,plain,(
% 2.98/0.76 ~spl0_164|spl0_228|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3801,f2912,f3798,f3203])).
% 2.98/0.76 fof(f3803,plain,(
% 2.98/0.76 spl0_229 <=> ~in(X0,relation_image(relation_inverse(sk0_61),empty_set))|in(ordered_pair(sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_61)),X0),relation_inverse(sk0_61))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3806,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_inverse(sk0_61))|~in(X0,relation_image(relation_inverse(sk0_61),empty_set))|in(ordered_pair(sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_61)),X0),relation_inverse(sk0_61))|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3751,f892])).
% 2.98/0.76 fof(f3807,plain,(
% 2.98/0.76 ~spl0_164|spl0_229|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3806,f2912,f3803,f3203])).
% 2.98/0.76 fof(f3811,plain,(
% 2.98/0.76 ~relation(empty_set)|~spl0_178|spl0_223),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f3751,f3775])).
% 2.98/0.76 fof(f3812,plain,(
% 2.98/0.76 $false|~spl0_178|spl0_223),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f3811,f491])).
% 2.98/0.76 fof(f3813,plain,(
% 2.98/0.76 ~spl0_178|spl0_223),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f3812])).
% 2.98/0.76 fof(f3816,plain,(
% 2.98/0.76 ![X0]: (~relation(X0)|empty_set=relation_rng_restriction(empty_set,X0)|~spl0_178|~spl0_225)),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f3751,f3782])).
% 2.98/0.76 fof(f3839,plain,(
% 2.98/0.76 empty_set=relation_rng_restriction(empty_set,sk0_56)|~spl0_178|~spl0_225),
% 2.98/0.76 inference(resolution,[status(thm)],[f3816,f566])).
% 2.98/0.76 fof(f3841,plain,(
% 2.98/0.76 empty_set=relation_rng_restriction(empty_set,sk0_61)|~spl0_178|~spl0_225),
% 2.98/0.76 inference(resolution,[status(thm)],[f3816,f648])).
% 2.98/0.76 fof(f3854,plain,(
% 2.98/0.76 spl0_231 <=> relation(relation_inverse(empty_set))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3856,plain,(
% 2.98/0.76 ~relation(relation_inverse(empty_set))|spl0_231),
% 2.98/0.76 inference(component_clause,[status(thm)],[f3854])).
% 2.98/0.76 fof(f3859,plain,(
% 2.98/0.76 spl0_232 <=> relation(relation_inverse(sk0_56))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3861,plain,(
% 2.98/0.76 ~relation(relation_inverse(sk0_56))|spl0_232),
% 2.98/0.76 inference(component_clause,[status(thm)],[f3859])).
% 2.98/0.76 fof(f3879,plain,(
% 2.98/0.76 spl0_234 <=> ~relation(X0)|empty_set=relation_rng_restriction(relation_rng(X0),X0)|~relation(X0)|empty_set=relation_rng_restriction(relation_rng(X0),X0)|~in(ordered_pair(sk0_4(relation_rng(X0),empty_set,X0),sk0_5(relation_rng(X0),empty_set,X0)),empty_set)|~in(ordered_pair(sk0_4(relation_rng(X0),empty_set,X0),sk0_5(relation_rng(X0),empty_set,X0)),X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3882,plain,(
% 2.98/0.76 ![X0]: (~relation(X0)|empty_set=relation_rng_restriction(relation_rng(X0),X0)|~relation(X0)|~relation(empty_set)|empty_set=relation_rng_restriction(relation_rng(X0),X0)|~in(ordered_pair(sk0_4(relation_rng(X0),empty_set,X0),sk0_5(relation_rng(X0),empty_set,X0)),empty_set)|~in(ordered_pair(sk0_4(relation_rng(X0),empty_set,X0),sk0_5(relation_rng(X0),empty_set,X0)),X0)|~spl0_177)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3478,f248])).
% 2.98/0.76 fof(f3883,plain,(
% 2.98/0.76 spl0_234|~spl0_6|~spl0_177),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3882,f3879,f945,f3187])).
% 2.98/0.76 fof(f3888,plain,(
% 2.98/0.76 spl0_235 <=> empty_set=relation_rng_restriction(X0,empty_set)|in(sk0_5(X0,empty_set,empty_set),empty_set)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3891,plain,(
% 2.98/0.76 ![X0]: (~relation(empty_set)|empty_set=relation_rng_restriction(X0,empty_set)|in(sk0_5(X0,empty_set,empty_set),empty_set)|~spl0_177)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f777,f3478])).
% 2.98/0.76 fof(f3892,plain,(
% 2.98/0.76 ~spl0_6|spl0_235|~spl0_177),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3891,f945,f3888,f3187])).
% 2.98/0.76 fof(f3900,plain,(
% 2.98/0.76 relation_image(relation_inverse(empty_set),empty_set)=empty_set|~spl0_178),
% 2.98/0.76 inference(resolution,[status(thm)],[f3325,f301])).
% 2.98/0.76 fof(f3922,plain,(
% 2.98/0.76 spl0_240 <=> relation(relation_image(relation_inverse(empty_set),empty_set))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3924,plain,(
% 2.98/0.76 ~relation(relation_image(relation_inverse(empty_set),empty_set))|spl0_240),
% 2.98/0.76 inference(component_clause,[status(thm)],[f3922])).
% 2.98/0.76 fof(f3925,plain,(
% 2.98/0.76 spl0_241 <=> ~in(X0,relation_image(relation_image(relation_inverse(empty_set),empty_set),X1))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3928,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(relation_image(relation_inverse(empty_set),empty_set))|~in(X0,relation_image(relation_image(relation_inverse(empty_set),empty_set),X1))|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3325,f892])).
% 2.98/0.76 fof(f3929,plain,(
% 2.98/0.76 ~spl0_240|spl0_241|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3928,f3922,f3925,f3203])).
% 2.98/0.76 fof(f3930,plain,(
% 2.98/0.76 spl0_242 <=> ~relation(X0)|relation_image(relation_inverse(empty_set),empty_set)=relation_rng_restriction(empty_set,X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3933,plain,(
% 2.98/0.76 ![X0]: (~relation(X0)|~relation(relation_image(relation_inverse(empty_set),empty_set))|relation_image(relation_inverse(empty_set),empty_set)=relation_rng_restriction(empty_set,X0)|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3325,f3491])).
% 2.98/0.76 fof(f3934,plain,(
% 2.98/0.76 spl0_242|~spl0_240|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3933,f3930,f3922,f3203])).
% 2.98/0.76 fof(f3935,plain,(
% 2.98/0.76 spl0_243 <=> empty_set=relation_rng_restriction(X0,relation_image(relation_inverse(empty_set),empty_set))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3938,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_image(relation_inverse(empty_set),empty_set))|empty_set=relation_rng_restriction(X0,relation_image(relation_inverse(empty_set),empty_set))|~spl0_178|~spl0_177)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3325,f3188])).
% 2.98/0.76 fof(f3939,plain,(
% 2.98/0.76 ~spl0_240|spl0_243|~spl0_178|~spl0_177),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3938,f3922,f3935,f3203,f3187])).
% 2.98/0.76 fof(f3940,plain,(
% 2.98/0.76 spl0_244 <=> ~relation(X0)|relation_image(relation_inverse(empty_set),empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_image(relation_inverse(empty_set),empty_set),X0),sk0_5(X1,relation_image(relation_inverse(empty_set),empty_set),X0)),X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3943,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|~relation(relation_image(relation_inverse(empty_set),empty_set))|relation_image(relation_inverse(empty_set),empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_image(relation_inverse(empty_set),empty_set),X0),sk0_5(X1,relation_image(relation_inverse(empty_set),empty_set),X0)),X0)|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3325,f250])).
% 2.98/0.76 fof(f3944,plain,(
% 2.98/0.76 spl0_244|~spl0_240|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3943,f3940,f3922,f3203])).
% 2.98/0.76 fof(f3947,plain,(
% 2.98/0.76 spl0_245 <=> ~in(X0,relation_image(relation_inverse(empty_set),empty_set))|in(sk0_6(X0,empty_set,empty_set,relation_inverse(empty_set)),empty_set)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3950,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_inverse(empty_set))|~in(X0,relation_image(relation_inverse(empty_set),empty_set))|in(sk0_6(X0,empty_set,empty_set,relation_inverse(empty_set)),empty_set)|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3900,f893])).
% 2.98/0.76 fof(f3951,plain,(
% 2.98/0.76 ~spl0_231|spl0_245|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3950,f3854,f3947,f3203])).
% 2.98/0.76 fof(f3952,plain,(
% 2.98/0.76 spl0_246 <=> ~in(X0,relation_image(relation_inverse(empty_set),empty_set))|in(ordered_pair(sk0_6(X0,empty_set,empty_set,relation_inverse(empty_set)),X0),relation_inverse(empty_set))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3955,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_inverse(empty_set))|~in(X0,relation_image(relation_inverse(empty_set),empty_set))|in(ordered_pair(sk0_6(X0,empty_set,empty_set,relation_inverse(empty_set)),X0),relation_inverse(empty_set))|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3900,f892])).
% 2.98/0.76 fof(f3956,plain,(
% 2.98/0.76 ~spl0_231|spl0_246|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f3955,f3854,f3952,f3203])).
% 2.98/0.76 fof(f3957,plain,(
% 2.98/0.76 $false|spl0_231),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f3856,f2310])).
% 2.98/0.76 fof(f3958,plain,(
% 2.98/0.76 spl0_231),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f3957])).
% 2.98/0.76 fof(f3962,plain,(
% 2.98/0.76 ~relation(empty_set)|~spl0_178|spl0_240),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f3900,f3924])).
% 2.98/0.76 fof(f3963,plain,(
% 2.98/0.76 $false|~spl0_178|spl0_240),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f3962,f491])).
% 2.98/0.76 fof(f3964,plain,(
% 2.98/0.76 ~spl0_178|spl0_240),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f3963])).
% 2.98/0.76 fof(f3973,plain,(
% 2.98/0.76 relation_image(relation_inverse(sk0_56),empty_set)=empty_set|~spl0_178),
% 2.98/0.76 inference(resolution,[status(thm)],[f3326,f301])).
% 2.98/0.76 fof(f3995,plain,(
% 2.98/0.76 spl0_251 <=> relation(relation_image(relation_inverse(sk0_56),empty_set))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f3997,plain,(
% 2.98/0.76 ~relation(relation_image(relation_inverse(sk0_56),empty_set))|spl0_251),
% 2.98/0.76 inference(component_clause,[status(thm)],[f3995])).
% 2.98/0.76 fof(f3998,plain,(
% 2.98/0.76 spl0_252 <=> ~in(X0,relation_image(relation_image(relation_inverse(sk0_56),empty_set),X1))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4001,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(relation_image(relation_inverse(sk0_56),empty_set))|~in(X0,relation_image(relation_image(relation_inverse(sk0_56),empty_set),X1))|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3326,f892])).
% 2.98/0.76 fof(f4002,plain,(
% 2.98/0.76 ~spl0_251|spl0_252|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4001,f3995,f3998,f3203])).
% 2.98/0.76 fof(f4003,plain,(
% 2.98/0.76 spl0_253 <=> ~relation(X0)|relation_image(relation_inverse(sk0_56),empty_set)=relation_rng_restriction(empty_set,X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4006,plain,(
% 2.98/0.76 ![X0]: (~relation(X0)|~relation(relation_image(relation_inverse(sk0_56),empty_set))|relation_image(relation_inverse(sk0_56),empty_set)=relation_rng_restriction(empty_set,X0)|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3326,f3491])).
% 2.98/0.76 fof(f4007,plain,(
% 2.98/0.76 spl0_253|~spl0_251|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4006,f4003,f3995,f3203])).
% 2.98/0.76 fof(f4008,plain,(
% 2.98/0.76 spl0_254 <=> empty_set=relation_rng_restriction(X0,relation_image(relation_inverse(sk0_56),empty_set))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4011,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_image(relation_inverse(sk0_56),empty_set))|empty_set=relation_rng_restriction(X0,relation_image(relation_inverse(sk0_56),empty_set))|~spl0_178|~spl0_177)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3326,f3188])).
% 2.98/0.76 fof(f4012,plain,(
% 2.98/0.76 ~spl0_251|spl0_254|~spl0_178|~spl0_177),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4011,f3995,f4008,f3203,f3187])).
% 2.98/0.76 fof(f4013,plain,(
% 2.98/0.76 spl0_255 <=> ~relation(X0)|relation_image(relation_inverse(sk0_56),empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_image(relation_inverse(sk0_56),empty_set),X0),sk0_5(X1,relation_image(relation_inverse(sk0_56),empty_set),X0)),X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4016,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|~relation(relation_image(relation_inverse(sk0_56),empty_set))|relation_image(relation_inverse(sk0_56),empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_image(relation_inverse(sk0_56),empty_set),X0),sk0_5(X1,relation_image(relation_inverse(sk0_56),empty_set),X0)),X0)|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3326,f250])).
% 2.98/0.76 fof(f4017,plain,(
% 2.98/0.76 spl0_255|~spl0_251|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4016,f4013,f3995,f3203])).
% 2.98/0.76 fof(f4020,plain,(
% 2.98/0.76 spl0_256 <=> ~in(X0,relation_image(relation_inverse(sk0_56),empty_set))|in(sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_56)),empty_set)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4023,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_inverse(sk0_56))|~in(X0,relation_image(relation_inverse(sk0_56),empty_set))|in(sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_56)),empty_set)|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3973,f893])).
% 2.98/0.76 fof(f4024,plain,(
% 2.98/0.76 ~spl0_232|spl0_256|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4023,f3859,f4020,f3203])).
% 2.98/0.76 fof(f4025,plain,(
% 2.98/0.76 spl0_257 <=> ~in(X0,relation_image(relation_inverse(sk0_56),empty_set))|in(ordered_pair(sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_56)),X0),relation_inverse(sk0_56))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4028,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_inverse(sk0_56))|~in(X0,relation_image(relation_inverse(sk0_56),empty_set))|in(ordered_pair(sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_56)),X0),relation_inverse(sk0_56))|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3973,f892])).
% 2.98/0.76 fof(f4029,plain,(
% 2.98/0.76 ~spl0_232|spl0_257|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4028,f3859,f4025,f3203])).
% 2.98/0.76 fof(f4030,plain,(
% 2.98/0.76 $false|spl0_232),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f3861,f2309])).
% 2.98/0.76 fof(f4031,plain,(
% 2.98/0.76 spl0_232),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f4030])).
% 2.98/0.76 fof(f4035,plain,(
% 2.98/0.76 ~relation(empty_set)|~spl0_178|spl0_251),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f3973,f3997])).
% 2.98/0.76 fof(f4036,plain,(
% 2.98/0.76 $false|~spl0_178|spl0_251),
% 2.98/0.76 inference(forward_subsumption_resolution,[status(thm)],[f4035,f491])).
% 2.98/0.76 fof(f4037,plain,(
% 2.98/0.76 ~spl0_178|spl0_251),
% 2.98/0.76 inference(contradiction_clause,[status(thm)],[f4036])).
% 2.98/0.76 fof(f4079,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|X0=identity_relation(empty_set)|in(ordered_pair(sk0_0(relation_image(empty_set,X1),X0),sk0_1(relation_image(empty_set,X1),X0)),X0)|~spl0_178)),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f3295,f3305])).
% 2.98/0.76 fof(f4080,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|X0=empty_set|in(ordered_pair(sk0_0(relation_image(empty_set,X1),X0),sk0_1(relation_image(empty_set,X1),X0)),X0)|~spl0_178)),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f1710,f4079])).
% 2.98/0.76 fof(f4081,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|X0=empty_set|in(ordered_pair(sk0_0(empty_set,X0),sk0_1(relation_image(empty_set,X1),X0)),X0)|~spl0_178)),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f3295,f4080])).
% 2.98/0.76 fof(f4082,plain,(
% 2.98/0.76 ![X0]: (~relation(X0)|X0=empty_set|in(ordered_pair(sk0_0(empty_set,X0),sk0_1(empty_set,X0)),X0)|~spl0_178)),
% 2.98/0.76 inference(forward_demodulation,[status(thm)],[f3295,f4081])).
% 2.98/0.76 fof(f4100,plain,(
% 2.98/0.76 spl0_258 <=> ~relation(identity_relation(X0))|empty_set=relation_rng_restriction(empty_set,identity_relation(X0))|in(ordered_pair(sk0_4(empty_set,empty_set,identity_relation(X0)),sk0_4(empty_set,empty_set,identity_relation(X0))),empty_set)|empty_set=relation_rng_restriction(empty_set,identity_relation(X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4103,plain,(
% 2.98/0.76 ![X0]: (~relation(identity_relation(X0))|~relation(empty_set)|empty_set=relation_rng_restriction(empty_set,identity_relation(X0))|in(ordered_pair(sk0_4(empty_set,empty_set,identity_relation(X0)),sk0_4(empty_set,empty_set,identity_relation(X0))),empty_set)|empty_set=relation_rng_restriction(empty_set,identity_relation(X0))|~spl0_178|~spl0_177)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3474,f3491])).
% 2.98/0.76 fof(f4104,plain,(
% 2.98/0.76 spl0_258|~spl0_6|~spl0_178|~spl0_177),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4103,f4100,f945,f3203,f3187])).
% 2.98/0.76 fof(f4112,plain,(
% 2.98/0.76 spl0_259 <=> ~relation(identity_relation(X0))|empty_set=relation_rng_restriction(X1,identity_relation(X0))|in(ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_4(X1,empty_set,identity_relation(X0))),empty_set)|in(ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_5(X1,empty_set,identity_relation(X0))),identity_relation(X0))|empty_set=relation_rng_restriction(X1,identity_relation(X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4115,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(identity_relation(X0))|~relation(empty_set)|empty_set=relation_rng_restriction(X1,identity_relation(X0))|in(ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_4(X1,empty_set,identity_relation(X0))),empty_set)|in(ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_5(X1,empty_set,identity_relation(X0))),identity_relation(X0))|empty_set=relation_rng_restriction(X1,identity_relation(X0))|~spl0_177)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3474,f250])).
% 2.98/0.76 fof(f4116,plain,(
% 2.98/0.76 spl0_259|~spl0_6|~spl0_177),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4115,f4112,f945,f3187])).
% 2.98/0.76 fof(f4117,plain,(
% 2.98/0.76 spl0_260 <=> ~relation(identity_relation(X0))|empty_set=relation_rng_restriction(X1,identity_relation(X0))|in(ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_5(X1,empty_set,identity_relation(X0))),empty_set)|~in(X1,sk0_4(X1,empty_set,identity_relation(X0)))|empty_set=relation_rng_restriction(X1,identity_relation(X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4120,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(identity_relation(X0))|~relation(empty_set)|empty_set=relation_rng_restriction(X1,identity_relation(X0))|in(ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_5(X1,empty_set,identity_relation(X0))),empty_set)|~in(X1,sk0_4(X1,empty_set,identity_relation(X0)))|empty_set=relation_rng_restriction(X1,identity_relation(X0))|~spl0_177)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3474,f2795])).
% 2.98/0.76 fof(f4121,plain,(
% 2.98/0.76 spl0_260|~spl0_6|~spl0_177),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4120,f4117,f945,f3187])).
% 2.98/0.76 fof(f4122,plain,(
% 2.98/0.76 spl0_261 <=> ~relation(identity_relation(X0))|empty_set=relation_rng_restriction(X1,identity_relation(X0))|in(ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_5(X1,empty_set,identity_relation(X0))),empty_set)|in(sk0_4(X1,empty_set,identity_relation(X0)),X1)|empty_set=relation_rng_restriction(X1,identity_relation(X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4125,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(identity_relation(X0))|~relation(empty_set)|empty_set=relation_rng_restriction(X1,identity_relation(X0))|in(ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_5(X1,empty_set,identity_relation(X0))),empty_set)|in(sk0_4(X1,empty_set,identity_relation(X0)),X1)|empty_set=relation_rng_restriction(X1,identity_relation(X0))|~spl0_177)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3474,f249])).
% 2.98/0.76 fof(f4126,plain,(
% 2.98/0.76 spl0_261|~spl0_6|~spl0_177),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4125,f4122,f945,f3187])).
% 2.98/0.76 fof(f4127,plain,(
% 2.98/0.76 spl0_262 <=> ~relation(identity_relation(X0))|empty_set=relation_rng_restriction(X1,identity_relation(X0))|~in(ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_5(X1,empty_set,identity_relation(X0))),empty_set)|~in(sk0_4(X1,empty_set,identity_relation(X0)),X1)|~in(ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_5(X1,empty_set,identity_relation(X0))),identity_relation(X0))|empty_set=relation_rng_restriction(X1,identity_relation(X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4130,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(identity_relation(X0))|~relation(empty_set)|empty_set=relation_rng_restriction(X1,identity_relation(X0))|~in(ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_5(X1,empty_set,identity_relation(X0))),empty_set)|~in(sk0_4(X1,empty_set,identity_relation(X0)),X1)|~in(ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_5(X1,empty_set,identity_relation(X0))),identity_relation(X0))|empty_set=relation_rng_restriction(X1,identity_relation(X0))|~spl0_177)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3474,f248])).
% 2.98/0.76 fof(f4131,plain,(
% 2.98/0.76 spl0_262|~spl0_6|~spl0_177),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4130,f4127,f945,f3187])).
% 2.98/0.76 fof(f4145,plain,(
% 2.98/0.76 spl0_263 <=> ~in(ordered_pair(X0,X1),relation_image(sk0_61,X2))|in(X1,relation_rng(relation_rng(sk0_61)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4148,plain,(
% 2.98/0.76 spl0_264 <=> relation(relation_rng(sk0_61))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4151,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~in(ordered_pair(X0,X1),relation_image(sk0_61,X2))|~relation(relation_rng(sk0_61))|in(X1,relation_rng(relation_rng(sk0_61))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f3543,f928])).
% 2.98/0.76 fof(f4152,plain,(
% 2.98/0.76 spl0_263|~spl0_264),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4151,f4145,f4148])).
% 2.98/0.76 fof(f4153,plain,(
% 2.98/0.76 spl0_265 <=> ~in(ordered_pair(X0,X1),relation_image(sk0_61,X2))|in(X0,relation_inverse_image(relation_rng(sk0_61),X3))|~in(X1,X3)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4156,plain,(
% 2.98/0.76 ![X0,X1,X2,X3]: (~in(ordered_pair(X0,X1),relation_image(sk0_61,X2))|~relation(relation_rng(sk0_61))|in(X0,relation_inverse_image(relation_rng(sk0_61),X3))|~in(X1,X3))),
% 2.98/0.76 inference(resolution,[status(thm)],[f3543,f897])).
% 2.98/0.76 fof(f4157,plain,(
% 2.98/0.76 spl0_265|~spl0_264),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4156,f4153,f4148])).
% 2.98/0.76 fof(f4159,plain,(
% 2.98/0.76 ![X0,X1]: (~in(X0,relation_image(sk0_61,X1))|~in(relation_rng(sk0_61),X0))),
% 2.98/0.76 inference(resolution,[status(thm)],[f3543,f208])).
% 2.98/0.76 fof(f4172,plain,(
% 2.98/0.76 spl0_267 <=> in(X0,relation_image(sk0_61,X1))|~in(sk0_6(X0,relation_image(sk0_61,X2),X2,sk0_61),X1)|~in(X0,relation_image(sk0_61,X2))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4173,plain,(
% 2.98/0.76 ![X0,X1,X2]: (in(X0,relation_image(sk0_61,X1))|~in(sk0_6(X0,relation_image(sk0_61,X2),X2,sk0_61),X1)|~in(X0,relation_image(sk0_61,X2))|~spl0_267)),
% 2.98/0.76 inference(component_clause,[status(thm)],[f4172])).
% 2.98/0.76 fof(f4175,plain,(
% 2.98/0.76 ![X0,X1,X2]: (in(X0,relation_image(sk0_61,X1))|~in(sk0_6(X0,relation_image(sk0_61,X2),X2,sk0_61),X1)|~relation(sk0_61)|~in(X0,relation_image(sk0_61,X2)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f3740,f892])).
% 2.98/0.76 fof(f4176,plain,(
% 2.98/0.76 spl0_267|~spl0_58),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4175,f4172,f1304])).
% 2.98/0.76 fof(f4177,plain,(
% 2.98/0.76 spl0_268 <=> in(sk0_5(empty_set,sk0_61,X0),relation_image(sk0_61,X1))|~in(sk0_4(empty_set,sk0_61,X0),X1)|~relation(X0)|sk0_61=relation_rng_restriction(empty_set,X0)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4180,plain,(
% 2.98/0.76 ![X0,X1]: (in(sk0_5(empty_set,sk0_61,X0),relation_image(sk0_61,X1))|~in(sk0_4(empty_set,sk0_61,X0),X1)|~relation(X0)|~relation(sk0_61)|sk0_61=relation_rng_restriction(empty_set,X0)|~spl0_178)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3740,f3491])).
% 2.98/0.76 fof(f4181,plain,(
% 2.98/0.76 spl0_268|~spl0_58|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4180,f4177,f1304,f3203])).
% 2.98/0.76 fof(f4182,plain,(
% 2.98/0.76 spl0_269 <=> in(sk0_5(X0,empty_set,sk0_61),relation_image(sk0_61,X1))|~in(sk0_4(X0,empty_set,sk0_61),X1)|empty_set=relation_rng_restriction(X0,sk0_61)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4183,plain,(
% 2.98/0.76 ![X0,X1]: (in(sk0_5(X0,empty_set,sk0_61),relation_image(sk0_61,X1))|~in(sk0_4(X0,empty_set,sk0_61),X1)|empty_set=relation_rng_restriction(X0,sk0_61)|~spl0_269)),
% 2.98/0.76 inference(component_clause,[status(thm)],[f4182])).
% 2.98/0.76 fof(f4185,plain,(
% 2.98/0.76 ![X0,X1]: (in(sk0_5(X0,empty_set,sk0_61),relation_image(sk0_61,X1))|~in(sk0_4(X0,empty_set,sk0_61),X1)|~relation(sk0_61)|empty_set=relation_rng_restriction(X0,sk0_61)|~spl0_177)),
% 2.98/0.76 inference(resolution,[status(thm)],[f3740,f3188])).
% 2.98/0.76 fof(f4186,plain,(
% 2.98/0.76 spl0_269|~spl0_58|~spl0_177),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4185,f4182,f1304,f3187])).
% 2.98/0.76 fof(f4187,plain,(
% 2.98/0.76 spl0_270 <=> in(sk0_5(X0,sk0_61,X1),relation_image(sk0_61,X2))|~in(sk0_4(X0,sk0_61,X1),X2)|~relation(X1)|sk0_61=relation_rng_restriction(X0,X1)|in(ordered_pair(sk0_4(X0,sk0_61,X1),sk0_5(X0,sk0_61,X1)),X1)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4188,plain,(
% 2.98/0.76 ![X0,X1,X2]: (in(sk0_5(X0,sk0_61,X1),relation_image(sk0_61,X2))|~in(sk0_4(X0,sk0_61,X1),X2)|~relation(X1)|sk0_61=relation_rng_restriction(X0,X1)|in(ordered_pair(sk0_4(X0,sk0_61,X1),sk0_5(X0,sk0_61,X1)),X1)|~spl0_270)),
% 2.98/0.76 inference(component_clause,[status(thm)],[f4187])).
% 2.98/0.76 fof(f4190,plain,(
% 2.98/0.76 ![X0,X1,X2]: (in(sk0_5(X0,sk0_61,X1),relation_image(sk0_61,X2))|~in(sk0_4(X0,sk0_61,X1),X2)|~relation(X1)|~relation(sk0_61)|sk0_61=relation_rng_restriction(X0,X1)|in(ordered_pair(sk0_4(X0,sk0_61,X1),sk0_5(X0,sk0_61,X1)),X1))),
% 2.98/0.76 inference(resolution,[status(thm)],[f3740,f250])).
% 2.98/0.76 fof(f4191,plain,(
% 2.98/0.76 spl0_270|~spl0_58),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4190,f4187,f1304])).
% 2.98/0.76 fof(f4210,plain,(
% 2.98/0.76 spl0_273 <=> ~in(relation_rng(sk0_56),relation_image(sk0_56,X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4213,plain,(
% 2.98/0.76 ![X0,X1]: (~in(relation_rng(sk0_56),relation_image(sk0_56,X0))|~in(relation_rng(sk0_56),relation_image(sk0_56,X1)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f3582,f3540])).
% 2.98/0.76 fof(f4214,plain,(
% 2.98/0.76 spl0_273),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4213,f4210])).
% 2.98/0.76 fof(f4220,plain,(
% 2.98/0.76 spl0_274 <=> ~in(relation_rng(sk0_61),relation_image(sk0_61,X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4223,plain,(
% 2.98/0.76 ![X0,X1]: (~in(relation_rng(sk0_61),relation_image(sk0_61,X0))|~in(relation_rng(sk0_61),relation_image(sk0_61,X1)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f4159,f3543])).
% 2.98/0.76 fof(f4224,plain,(
% 2.98/0.76 spl0_274),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4223,f4220])).
% 2.98/0.76 fof(f4237,plain,(
% 2.98/0.76 spl0_276 <=> relation_rng_restriction(empty_set,sk0_56)=empty_set),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4240,plain,(
% 2.98/0.76 ~relation_rng(empty_set)=empty_set|relation_rng_restriction(empty_set,sk0_56)=empty_set|~spl0_178|~spl0_225),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3839,f3611])).
% 2.98/0.76 fof(f4241,plain,(
% 2.98/0.76 ~spl0_9|spl0_276|~spl0_178|~spl0_225),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4240,f965,f4237,f3203,f3781])).
% 2.98/0.76 fof(f4244,plain,(
% 2.98/0.76 spl0_277 <=> ~relation(identity_relation(X0))|empty_set=relation_rng_restriction(X1,identity_relation(X0))|in(ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_5(X1,empty_set,identity_relation(X0))),identity_relation(X0))|in(sk0_4(X1,empty_set,identity_relation(X0)),relation_rng(empty_set))|empty_set=relation_rng_restriction(X1,identity_relation(X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4247,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(identity_relation(X0))|~relation(empty_set)|empty_set=relation_rng_restriction(X1,identity_relation(X0))|in(ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_5(X1,empty_set,identity_relation(X0))),identity_relation(X0))|in(sk0_4(X1,empty_set,identity_relation(X0)),relation_rng(empty_set))|empty_set=relation_rng_restriction(X1,identity_relation(X0))|~spl0_177)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3474,f3183])).
% 2.98/0.76 fof(f4248,plain,(
% 2.98/0.76 spl0_277|~spl0_6|~spl0_177),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4247,f4244,f945,f3187])).
% 2.98/0.76 fof(f4251,plain,(
% 2.98/0.76 spl0_278 <=> ~relation(X0)|empty_set=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,empty_set,X0),sk0_5(X1,empty_set,X0)),X0)|in(sk0_5(X1,empty_set,X0),empty_set)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4254,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(X0)|~relation(empty_set)|empty_set=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,empty_set,X0),sk0_5(X1,empty_set,X0)),X0)|in(sk0_5(X1,empty_set,X0),empty_set))),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f777,f3183])).
% 2.98/0.76 fof(f4255,plain,(
% 2.98/0.76 spl0_278|~spl0_6),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4254,f4251,f945])).
% 2.98/0.76 fof(f4320,plain,(
% 2.98/0.76 ![X0,X1]: (~in(X0,powerset(X1))|~relation(X0)|~relation(X1)|subset(relation_rng(X0),relation_rng(X1)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f906,f671])).
% 2.98/0.76 fof(f4391,plain,(
% 2.98/0.76 spl0_279 <=> ~in(sk0_62,relation_inverse_image(sk0_61,X0))|~in(sk0_9(sk0_62,relation_inverse_image(sk0_61,X0),X0,sk0_61),relation_rng(sk0_61))|~in(sk0_9(sk0_62,relation_inverse_image(sk0_61,X0),X0,sk0_61),sk0_63)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4392,plain,(
% 2.98/0.76 ![X0]: (~in(sk0_62,relation_inverse_image(sk0_61,X0))|~in(sk0_9(sk0_62,relation_inverse_image(sk0_61,X0),X0,sk0_61),relation_rng(sk0_61))|~in(sk0_9(sk0_62,relation_inverse_image(sk0_61,X0),X0,sk0_61),sk0_63)|~spl0_279)),
% 2.98/0.76 inference(component_clause,[status(thm)],[f4391])).
% 2.98/0.76 fof(f4394,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_61)|~in(sk0_62,relation_inverse_image(sk0_61,X0))|~in(sk0_9(sk0_62,relation_inverse_image(sk0_61,X0),X0,sk0_61),relation_rng(sk0_61))|~in(sk0_9(sk0_62,relation_inverse_image(sk0_61,X0),X0,sk0_61),sk0_63)|~spl0_4)),
% 2.98/0.76 inference(resolution,[status(thm)],[f895,f878])).
% 2.98/0.76 fof(f4395,plain,(
% 2.98/0.76 ~spl0_58|spl0_279|~spl0_4),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4394,f1304,f4391,f877])).
% 2.98/0.76 fof(f4396,plain,(
% 2.98/0.76 spl0_280 <=> ~in(X0,relation_inverse_image(sk0_61,X1))|in(sk0_9(X0,relation_inverse_image(sk0_61,X1),X1,sk0_61),relation_image(sk0_61,X2))|~in(X0,X2)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4399,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(sk0_61)|~in(X0,relation_inverse_image(sk0_61,X1))|in(sk0_9(X0,relation_inverse_image(sk0_61,X1),X1,sk0_61),relation_image(sk0_61,X2))|~in(X0,X2))),
% 2.98/0.76 inference(resolution,[status(thm)],[f895,f3740])).
% 2.98/0.76 fof(f4400,plain,(
% 2.98/0.76 ~spl0_58|spl0_280),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4399,f1304,f4396])).
% 2.98/0.76 fof(f4405,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_inverse_image(X0,X2))|~relation(X0)|in(sk0_9(X1,relation_inverse_image(X0,X2),X2,X0),relation_rng(X0)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f895,f928])).
% 2.98/0.76 fof(f4406,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_inverse_image(X0,X2))|in(sk0_9(X1,relation_inverse_image(X0,X2),X2,X0),relation_rng(X0)))),
% 2.98/0.76 inference(duplicate_literals_removal,[status(esa)],[f4405])).
% 2.98/0.76 fof(f4411,plain,(
% 2.98/0.76 spl0_281 <=> ~in(X0,relation_inverse_image(empty_set,X1))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4412,plain,(
% 2.98/0.76 ![X0,X1]: (~in(X0,relation_inverse_image(empty_set,X1))|~spl0_281)),
% 2.98/0.76 inference(component_clause,[status(thm)],[f4411])).
% 2.98/0.76 fof(f4414,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(empty_set)|~in(X0,relation_inverse_image(empty_set,X1)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f895,f905])).
% 2.98/0.76 fof(f4415,plain,(
% 2.98/0.76 ~spl0_6|spl0_281),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4414,f945,f4411])).
% 2.98/0.76 fof(f4417,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_inverse_image(X0,X2))|~in(X0,ordered_pair(X1,sk0_9(X1,relation_inverse_image(X0,X2),X2,X0))))),
% 2.98/0.76 inference(resolution,[status(thm)],[f895,f208])).
% 2.98/0.76 fof(f4422,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_inverse_image(X0,X2))|~in(X2,sk0_9(X1,relation_inverse_image(X0,X2),X2,X0)))),
% 2.98/0.76 inference(resolution,[status(thm)],[f896,f208])).
% 2.98/0.76 fof(f4558,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_inverse_image(X0,relation_inverse_image(empty_set,X2)))|~spl0_281)),
% 2.98/0.76 inference(resolution,[status(thm)],[f4412,f896])).
% 2.98/0.76 fof(f4560,plain,(
% 2.98/0.76 spl0_283 <=> empty_set=relation_rng_restriction(X0,empty_set)|~in(sk0_5(X0,empty_set,empty_set),X1)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4563,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(empty_set)|empty_set=relation_rng_restriction(X0,empty_set)|~in(sk0_5(X0,empty_set,empty_set),X1)|~spl0_281|~spl0_177)),
% 2.98/0.76 inference(resolution,[status(thm)],[f4412,f3480])).
% 2.98/0.76 fof(f4564,plain,(
% 2.98/0.76 ~spl0_6|spl0_283|~spl0_281|~spl0_177),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4563,f945,f4560,f4411,f3187])).
% 2.98/0.76 fof(f4565,plain,(
% 2.98/0.76 spl0_284 <=> ~relation(X0)|empty_set=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,empty_set,X0),sk0_5(X1,empty_set,X0)),X0)|~in(sk0_5(X1,empty_set,X0),X2)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4568,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~relation(empty_set)|empty_set=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,empty_set,X0),sk0_5(X1,empty_set,X0)),X0)|~in(sk0_5(X1,empty_set,X0),X2)|~spl0_281)),
% 2.98/0.76 inference(resolution,[status(thm)],[f4412,f3185])).
% 2.98/0.76 fof(f4569,plain,(
% 2.98/0.76 spl0_284|~spl0_6|~spl0_281),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4568,f4565,f945,f4411])).
% 2.98/0.76 fof(f4570,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|relation_inverse_image(empty_set,X1)=relation_image(X0,X2)|in(ordered_pair(sk0_8(relation_inverse_image(empty_set,X1),X2,X0),sk0_7(relation_inverse_image(empty_set,X1),X2,X0)),X0)|~spl0_281)),
% 2.98/0.76 inference(resolution,[status(thm)],[f4412,f259])).
% 2.98/0.76 fof(f4572,plain,(
% 2.98/0.76 ![X0]: (relation_inverse_image(empty_set,X0)=empty_set|~spl0_281)),
% 2.98/0.76 inference(resolution,[status(thm)],[f4412,f301])).
% 2.98/0.76 fof(f4583,plain,(
% 2.98/0.76 spl0_285 <=> ~in(X0,relation_inverse_image(empty_set,X1))|in(sk0_9(X0,empty_set,X1,empty_set),X1)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4586,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(empty_set)|~in(X0,relation_inverse_image(empty_set,X1))|in(sk0_9(X0,empty_set,X1,empty_set),X1)|~spl0_281)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f4572,f896])).
% 2.98/0.76 fof(f4587,plain,(
% 2.98/0.76 ~spl0_6|spl0_285|~spl0_281),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4586,f945,f4583,f4411])).
% 2.98/0.76 fof(f4588,plain,(
% 2.98/0.76 spl0_286 <=> ~in(X0,relation_inverse_image(empty_set,X1))|in(ordered_pair(X0,sk0_9(X0,empty_set,X1,empty_set)),empty_set)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4591,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(empty_set)|~in(X0,relation_inverse_image(empty_set,X1))|in(ordered_pair(X0,sk0_9(X0,empty_set,X1,empty_set)),empty_set)|~spl0_281)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f4572,f895])).
% 2.98/0.76 fof(f4592,plain,(
% 2.98/0.76 ~spl0_6|spl0_286|~spl0_281),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4591,f945,f4588,f4411])).
% 2.98/0.76 fof(f4593,plain,(
% 2.98/0.76 spl0_287 <=> ~relation(X0)|empty_set=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,empty_set,X0),sk0_5(X1,empty_set,X0)),X0)|in(sk0_4(X1,empty_set,X0),empty_set)|~in(sk0_5(X1,empty_set,X0),X2)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4596,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(X0)|~relation(empty_set)|empty_set=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,empty_set,X0),sk0_5(X1,empty_set,X0)),X0)|in(sk0_4(X1,empty_set,X0),empty_set)|~in(sk0_5(X1,empty_set,X0),X2)|~spl0_281)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f4572,f3185])).
% 2.98/0.76 fof(f4597,plain,(
% 2.98/0.76 spl0_287|~spl0_6|~spl0_281),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4596,f4593,f945,f4411])).
% 2.98/0.76 fof(f4598,plain,(
% 2.98/0.76 spl0_288 <=> empty_set=relation_rng_restriction(X0,empty_set)|in(sk0_4(X0,empty_set,empty_set),empty_set)|~in(sk0_5(X0,empty_set,empty_set),X1)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4601,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(empty_set)|empty_set=relation_rng_restriction(X0,empty_set)|in(sk0_4(X0,empty_set,empty_set),empty_set)|~in(sk0_5(X0,empty_set,empty_set),X1)|~spl0_177|~spl0_281)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f4572,f3480])).
% 2.98/0.76 fof(f4602,plain,(
% 2.98/0.76 ~spl0_6|spl0_288|~spl0_177|~spl0_281),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4601,f945,f4598,f3187,f4411])).
% 2.98/0.76 fof(f4892,plain,(
% 2.98/0.76 spl0_294 <=> in(sk0_9(sk0_62,relation_inverse_image(sk0_61,sk0_63),sk0_63,sk0_61),relation_rng(sk0_61))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4894,plain,(
% 2.98/0.76 ~in(sk0_9(sk0_62,relation_inverse_image(sk0_61,sk0_63),sk0_63,sk0_61),relation_rng(sk0_61))|spl0_294),
% 2.98/0.76 inference(component_clause,[status(thm)],[f4892])).
% 2.98/0.76 fof(f4895,plain,(
% 2.98/0.76 spl0_295 <=> in(sk0_9(sk0_62,relation_inverse_image(sk0_61,sk0_63),sk0_63,sk0_61),sk0_63)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4897,plain,(
% 2.98/0.76 ~in(sk0_9(sk0_62,relation_inverse_image(sk0_61,sk0_63),sk0_63,sk0_61),sk0_63)|spl0_295),
% 2.98/0.76 inference(component_clause,[status(thm)],[f4895])).
% 2.98/0.76 fof(f4898,plain,(
% 2.98/0.76 ~in(sk0_9(sk0_62,relation_inverse_image(sk0_61,sk0_63),sk0_63,sk0_61),relation_rng(sk0_61))|~in(sk0_9(sk0_62,relation_inverse_image(sk0_61,sk0_63),sk0_63,sk0_61),sk0_63)|~spl0_279|~spl0_0),
% 2.98/0.76 inference(resolution,[status(thm)],[f4392,f863])).
% 2.98/0.76 fof(f4899,plain,(
% 2.98/0.76 ~spl0_294|~spl0_295|~spl0_279|~spl0_0),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4898,f4892,f4895,f4391,f862])).
% 2.98/0.76 fof(f4901,plain,(
% 2.98/0.76 ![X0,X1,X2]: (in(X0,relation_image(sk0_61,X1))|~in(ordered_pair(X2,X0),sk0_61)|~in(X2,X1))),
% 2.98/0.76 inference(resolution,[status(thm)],[f648,f894])).
% 2.98/0.76 fof(f4986,plain,(
% 2.98/0.76 spl0_296 <=> ~relation(identity_relation(X0))|empty_set=relation_rng_restriction(X1,identity_relation(X0))|in(ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_5(X1,empty_set,identity_relation(X0))),identity_relation(X0))|~in(empty_set,ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_4(X1,empty_set,identity_relation(X0))))|empty_set=relation_rng_restriction(X1,identity_relation(X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4989,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(identity_relation(X0))|~relation(empty_set)|empty_set=relation_rng_restriction(X1,identity_relation(X0))|in(ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_5(X1,empty_set,identity_relation(X0))),identity_relation(X0))|~in(empty_set,ordered_pair(sk0_4(X1,empty_set,identity_relation(X0)),sk0_4(X1,empty_set,identity_relation(X0))))|empty_set=relation_rng_restriction(X1,identity_relation(X0))|~spl0_177)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3474,f3193])).
% 2.98/0.76 fof(f4990,plain,(
% 2.98/0.76 spl0_296|~spl0_6|~spl0_177),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4989,f4986,f945,f3187])).
% 2.98/0.76 fof(f4993,plain,(
% 2.98/0.76 spl0_297 <=> ~in(X0,relation_image(sk0_61,empty_set))|in(sk0_6(X0,empty_set,empty_set,sk0_61),relation_inverse_image(sk0_61,X1))|~in(X0,X1)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f4996,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(sk0_61)|~in(X0,relation_image(sk0_61,empty_set))|in(sk0_6(X0,empty_set,empty_set,sk0_61),relation_inverse_image(sk0_61,X1))|~in(X0,X1)|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3393,f3201])).
% 2.98/0.76 fof(f4997,plain,(
% 2.98/0.76 ~spl0_58|spl0_297|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f4996,f1304,f4993,f3203])).
% 2.98/0.76 fof(f4998,plain,(
% 2.98/0.76 spl0_298 <=> ~in(X0,relation_image(relation_inverse(sk0_61),empty_set))|in(sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_61)),relation_inverse_image(relation_inverse(sk0_61),X1))|~in(X0,X1)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f5001,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(relation_inverse(sk0_61))|~in(X0,relation_image(relation_inverse(sk0_61),empty_set))|in(sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_61)),relation_inverse_image(relation_inverse(sk0_61),X1))|~in(X0,X1)|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3751,f3201])).
% 2.98/0.76 fof(f5002,plain,(
% 2.98/0.76 ~spl0_164|spl0_298|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f5001,f2912,f4998,f3203])).
% 2.98/0.76 fof(f5005,plain,(
% 2.98/0.76 spl0_299 <=> ~in(X0,relation_image(relation_inverse(sk0_56),empty_set))|in(sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_56)),relation_inverse_image(relation_inverse(sk0_56),X1))|~in(X0,X1)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f5008,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(relation_inverse(sk0_56))|~in(X0,relation_image(relation_inverse(sk0_56),empty_set))|in(sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_56)),relation_inverse_image(relation_inverse(sk0_56),X1))|~in(X0,X1)|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3973,f3201])).
% 2.98/0.76 fof(f5009,plain,(
% 2.98/0.76 ~spl0_232|spl0_299|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f5008,f3859,f5005,f3203])).
% 2.98/0.76 fof(f5010,plain,(
% 2.98/0.76 spl0_300 <=> ~in(X0,relation_image(relation_inverse(empty_set),empty_set))|in(sk0_6(X0,empty_set,empty_set,relation_inverse(empty_set)),relation_inverse_image(relation_inverse(empty_set),X1))|~in(X0,X1)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f5013,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(relation_inverse(empty_set))|~in(X0,relation_image(relation_inverse(empty_set),empty_set))|in(sk0_6(X0,empty_set,empty_set,relation_inverse(empty_set)),relation_inverse_image(relation_inverse(empty_set),X1))|~in(X0,X1)|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3900,f3201])).
% 2.98/0.76 fof(f5014,plain,(
% 2.98/0.76 ~spl0_231|spl0_300|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f5013,f3854,f5010,f3203])).
% 2.98/0.76 fof(f5017,plain,(
% 2.98/0.76 spl0_301 <=> ~in(X0,relation_image(sk0_56,empty_set))|in(sk0_6(X0,empty_set,empty_set,sk0_56),relation_inverse_image(sk0_56,X1))|~in(X0,X1)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f5020,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(sk0_56)|~in(X0,relation_image(sk0_56,empty_set))|in(sk0_6(X0,empty_set,empty_set,sk0_56),relation_inverse_image(sk0_56,X1))|~in(X0,X1)|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3333,f3201])).
% 2.98/0.76 fof(f5021,plain,(
% 2.98/0.76 ~spl0_83|spl0_301|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f5020,f2146,f5017,f3203])).
% 2.98/0.76 fof(f5022,plain,(
% 2.98/0.76 spl0_302 <=> ~in(X0,relation_image(empty_set,X1))|in(sk0_6(X0,empty_set,X1,empty_set),relation_inverse_image(empty_set,X2))|~in(X0,X2)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f5025,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(empty_set)|~in(X0,relation_image(empty_set,X1))|in(sk0_6(X0,empty_set,X1,empty_set),relation_inverse_image(empty_set,X2))|~in(X0,X2)|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3295,f3201])).
% 2.98/0.76 fof(f5026,plain,(
% 2.98/0.76 ~spl0_6|spl0_302|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f5025,f945,f5022,f3203])).
% 2.98/0.76 fof(f5027,plain,(
% 2.98/0.76 spl0_303 <=> ~in(X0,relation_image(empty_set,X1))|in(sk0_6(X0,relation_image(empty_set,X1),X1,empty_set),empty_set)|~in(X0,X2)),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f5030,plain,(
% 2.98/0.76 ![X0,X1,X2]: (~relation(empty_set)|~in(X0,relation_image(empty_set,X1))|in(sk0_6(X0,relation_image(empty_set,X1),X1,empty_set),empty_set)|~in(X0,X2)|~spl0_281)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f4572,f3201])).
% 2.98/0.76 fof(f5031,plain,(
% 2.98/0.76 ~spl0_6|spl0_303|~spl0_281),
% 2.98/0.76 inference(split_clause,[status(thm)],[f5030,f945,f5027,f4411])).
% 2.98/0.76 fof(f5328,plain,(
% 2.98/0.76 spl0_318 <=> ~in(X0,relation_image(sk0_61,empty_set))|~in(sk0_61,ordered_pair(sk0_6(X0,empty_set,empty_set,sk0_61),X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f5331,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_61)|~in(X0,relation_image(sk0_61,empty_set))|~in(sk0_61,ordered_pair(sk0_6(X0,empty_set,empty_set,sk0_61),X0))|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3393,f3209])).
% 2.98/0.76 fof(f5332,plain,(
% 2.98/0.76 ~spl0_58|spl0_318|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f5331,f1304,f5328,f3203])).
% 2.98/0.76 fof(f5333,plain,(
% 2.98/0.76 spl0_319 <=> ~in(X0,relation_image(relation_inverse(sk0_61),empty_set))|~in(relation_inverse(sk0_61),ordered_pair(sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_61)),X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f5336,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_inverse(sk0_61))|~in(X0,relation_image(relation_inverse(sk0_61),empty_set))|~in(relation_inverse(sk0_61),ordered_pair(sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_61)),X0))|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3751,f3209])).
% 2.98/0.76 fof(f5337,plain,(
% 2.98/0.76 ~spl0_164|spl0_319|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f5336,f2912,f5333,f3203])).
% 2.98/0.76 fof(f5340,plain,(
% 2.98/0.76 spl0_320 <=> ~in(X0,relation_image(relation_inverse(sk0_56),empty_set))|~in(relation_inverse(sk0_56),ordered_pair(sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_56)),X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f5343,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_inverse(sk0_56))|~in(X0,relation_image(relation_inverse(sk0_56),empty_set))|~in(relation_inverse(sk0_56),ordered_pair(sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_56)),X0))|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3973,f3209])).
% 2.98/0.76 fof(f5344,plain,(
% 2.98/0.76 ~spl0_232|spl0_320|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f5343,f3859,f5340,f3203])).
% 2.98/0.76 fof(f5345,plain,(
% 2.98/0.76 spl0_321 <=> ~in(X0,relation_image(relation_inverse(empty_set),empty_set))|~in(relation_inverse(empty_set),ordered_pair(sk0_6(X0,empty_set,empty_set,relation_inverse(empty_set)),X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f5348,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_inverse(empty_set))|~in(X0,relation_image(relation_inverse(empty_set),empty_set))|~in(relation_inverse(empty_set),ordered_pair(sk0_6(X0,empty_set,empty_set,relation_inverse(empty_set)),X0))|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3900,f3209])).
% 2.98/0.76 fof(f5349,plain,(
% 2.98/0.76 ~spl0_231|spl0_321|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f5348,f3854,f5345,f3203])).
% 2.98/0.76 fof(f5352,plain,(
% 2.98/0.76 spl0_322 <=> ~in(X0,relation_image(sk0_56,empty_set))|~in(sk0_56,ordered_pair(sk0_6(X0,empty_set,empty_set,sk0_56),X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f5355,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_56)|~in(X0,relation_image(sk0_56,empty_set))|~in(sk0_56,ordered_pair(sk0_6(X0,empty_set,empty_set,sk0_56),X0))|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3333,f3209])).
% 2.98/0.76 fof(f5356,plain,(
% 2.98/0.76 ~spl0_83|spl0_322|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f5355,f2146,f5352,f3203])).
% 2.98/0.76 fof(f5357,plain,(
% 2.98/0.76 spl0_323 <=> ~in(X0,relation_image(empty_set,X1))|~in(empty_set,ordered_pair(sk0_6(X0,empty_set,X1,empty_set),X0))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f5360,plain,(
% 2.98/0.76 ![X0,X1]: (~relation(empty_set)|~in(X0,relation_image(empty_set,X1))|~in(empty_set,ordered_pair(sk0_6(X0,empty_set,X1,empty_set),X0))|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3295,f3209])).
% 2.98/0.76 fof(f5361,plain,(
% 2.98/0.76 ~spl0_6|spl0_323|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f5360,f945,f5357,f3203])).
% 2.98/0.76 fof(f5372,plain,(
% 2.98/0.76 spl0_324 <=> ~in(X0,relation_image(sk0_61,empty_set))|~in(empty_set,sk0_6(X0,empty_set,empty_set,sk0_61))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f5375,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_61)|~in(X0,relation_image(sk0_61,empty_set))|~in(empty_set,sk0_6(X0,empty_set,empty_set,sk0_61))|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3393,f3213])).
% 2.98/0.76 fof(f5376,plain,(
% 2.98/0.76 ~spl0_58|spl0_324|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f5375,f1304,f5372,f3203])).
% 2.98/0.76 fof(f5377,plain,(
% 2.98/0.76 spl0_325 <=> ~in(X0,relation_image(relation_inverse(sk0_61),empty_set))|~in(empty_set,sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_61)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f5380,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_inverse(sk0_61))|~in(X0,relation_image(relation_inverse(sk0_61),empty_set))|~in(empty_set,sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_61)))|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3751,f3213])).
% 2.98/0.76 fof(f5381,plain,(
% 2.98/0.76 ~spl0_164|spl0_325|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f5380,f2912,f5377,f3203])).
% 2.98/0.76 fof(f5384,plain,(
% 2.98/0.76 spl0_326 <=> ~in(X0,relation_image(relation_inverse(sk0_56),empty_set))|~in(empty_set,sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_56)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f5387,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_inverse(sk0_56))|~in(X0,relation_image(relation_inverse(sk0_56),empty_set))|~in(empty_set,sk0_6(X0,empty_set,empty_set,relation_inverse(sk0_56)))|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3973,f3213])).
% 2.98/0.76 fof(f5388,plain,(
% 2.98/0.76 ~spl0_232|spl0_326|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f5387,f3859,f5384,f3203])).
% 2.98/0.76 fof(f5389,plain,(
% 2.98/0.76 spl0_327 <=> ~in(X0,relation_image(relation_inverse(empty_set),empty_set))|~in(empty_set,sk0_6(X0,empty_set,empty_set,relation_inverse(empty_set)))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f5392,plain,(
% 2.98/0.76 ![X0]: (~relation(relation_inverse(empty_set))|~in(X0,relation_image(relation_inverse(empty_set),empty_set))|~in(empty_set,sk0_6(X0,empty_set,empty_set,relation_inverse(empty_set)))|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3900,f3213])).
% 2.98/0.76 fof(f5393,plain,(
% 2.98/0.76 ~spl0_231|spl0_327|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f5392,f3854,f5389,f3203])).
% 2.98/0.76 fof(f5396,plain,(
% 2.98/0.76 spl0_328 <=> ~in(X0,relation_image(sk0_56,empty_set))|~in(empty_set,sk0_6(X0,empty_set,empty_set,sk0_56))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 2.98/0.76 fof(f5399,plain,(
% 2.98/0.76 ![X0]: (~relation(sk0_56)|~in(X0,relation_image(sk0_56,empty_set))|~in(empty_set,sk0_6(X0,empty_set,empty_set,sk0_56))|~spl0_178)),
% 2.98/0.76 inference(paramodulation,[status(thm)],[f3333,f3213])).
% 2.98/0.76 fof(f5400,plain,(
% 2.98/0.76 ~spl0_83|spl0_328|~spl0_178),
% 2.98/0.76 inference(split_clause,[status(thm)],[f5399,f2146,f5396,f3203])).
% 2.98/0.76 fof(f5401,plain,(
% 2.98/0.76 spl0_329 <=> ~in(X0,relation_image(empty_set,X1))|~in(X1,sk0_6(X0,empty_set,X1,empty_set))),
% 2.98/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f5404,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(empty_set)|~in(X0,relation_image(empty_set,X1))|~in(X1,sk0_6(X0,empty_set,X1,empty_set))|~spl0_178)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f3295,f3213])).
% 3.48/0.76 fof(f5405,plain,(
% 3.48/0.76 ~spl0_6|spl0_329|~spl0_178),
% 3.48/0.76 inference(split_clause,[status(thm)],[f5404,f945,f5401,f3203])).
% 3.48/0.76 fof(f5451,plain,(
% 3.48/0.76 ![X0]: (~in(X0,sk0_61)|X0=ordered_pair(sk0_12(X0,sk0_61),sk0_13(X0,sk0_61)))),
% 3.48/0.76 inference(resolution,[status(thm)],[f275,f648])).
% 3.48/0.76 fof(f5536,plain,(
% 3.48/0.76 spl0_333 <=> ~in(sk0_4(relation_image(sk0_61,X0),empty_set,sk0_61),X0)|empty_set=relation_rng_restriction(relation_image(sk0_61,X0),sk0_61)|empty_set=relation_rng_restriction(relation_image(sk0_61,X0),sk0_61)|~in(ordered_pair(sk0_4(relation_image(sk0_61,X0),empty_set,sk0_61),sk0_5(relation_image(sk0_61,X0),empty_set,sk0_61)),empty_set)|~in(ordered_pair(sk0_4(relation_image(sk0_61,X0),empty_set,sk0_61),sk0_5(relation_image(sk0_61,X0),empty_set,sk0_61)),sk0_61)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f5539,plain,(
% 3.48/0.76 ![X0]: (~in(sk0_4(relation_image(sk0_61,X0),empty_set,sk0_61),X0)|empty_set=relation_rng_restriction(relation_image(sk0_61,X0),sk0_61)|~relation(sk0_61)|~relation(empty_set)|empty_set=relation_rng_restriction(relation_image(sk0_61,X0),sk0_61)|~in(ordered_pair(sk0_4(relation_image(sk0_61,X0),empty_set,sk0_61),sk0_5(relation_image(sk0_61,X0),empty_set,sk0_61)),empty_set)|~in(ordered_pair(sk0_4(relation_image(sk0_61,X0),empty_set,sk0_61),sk0_5(relation_image(sk0_61,X0),empty_set,sk0_61)),sk0_61)|~spl0_269)),
% 3.48/0.76 inference(resolution,[status(thm)],[f4183,f248])).
% 3.48/0.76 fof(f5540,plain,(
% 3.48/0.76 spl0_333|~spl0_58|~spl0_6|~spl0_269),
% 3.48/0.76 inference(split_clause,[status(thm)],[f5539,f5536,f1304,f945,f4182])).
% 3.48/0.76 fof(f5593,plain,(
% 3.48/0.76 spl0_336 <=> in(X0,relation_image(sk0_61,relation_inverse_image(sk0_61,X1)))|~in(X0,relation_image(sk0_61,X2))|~in(X0,relation_image(sk0_61,X2))|~in(X0,X1)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f5596,plain,(
% 3.48/0.76 ![X0,X1,X2]: (in(X0,relation_image(sk0_61,relation_inverse_image(sk0_61,X1)))|~in(X0,relation_image(sk0_61,X2))|~relation(sk0_61)|~in(X0,relation_image(sk0_61,X2))|~in(X0,X1)|~spl0_267)),
% 3.48/0.76 inference(resolution,[status(thm)],[f4173,f3201])).
% 3.48/0.76 fof(f5597,plain,(
% 3.48/0.76 spl0_336|~spl0_58|~spl0_267),
% 3.48/0.76 inference(split_clause,[status(thm)],[f5596,f5593,f1304,f4172])).
% 3.48/0.76 fof(f5598,plain,(
% 3.48/0.76 spl0_337 <=> in(X0,relation_image(sk0_61,X1))|~in(X0,relation_image(sk0_61,X1))|~in(X0,relation_image(sk0_61,X1))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f5601,plain,(
% 3.48/0.76 ![X0,X1]: (in(X0,relation_image(sk0_61,X1))|~in(X0,relation_image(sk0_61,X1))|~relation(sk0_61)|~in(X0,relation_image(sk0_61,X1))|~spl0_267)),
% 3.48/0.76 inference(resolution,[status(thm)],[f4173,f893])).
% 3.48/0.76 fof(f5602,plain,(
% 3.48/0.76 spl0_337|~spl0_58|~spl0_267),
% 3.48/0.76 inference(split_clause,[status(thm)],[f5601,f5598,f1304,f4172])).
% 3.48/0.76 fof(f5782,plain,(
% 3.48/0.76 spl0_338 <=> empty_set=relation_rng_restriction(X0,empty_set)|in(ordered_pair(ordered_pair(sk0_4(X0,empty_set,empty_set),sk0_5(X0,empty_set,empty_set)),ordered_pair(sk0_4(X0,empty_set,empty_set),sk0_5(X0,empty_set,empty_set))),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f5785,plain,(
% 3.48/0.76 ![X0]: (~relation(empty_set)|empty_set=relation_rng_restriction(X0,empty_set)|in(ordered_pair(ordered_pair(sk0_4(X0,empty_set,empty_set),sk0_5(X0,empty_set,empty_set)),ordered_pair(sk0_4(X0,empty_set,empty_set),sk0_5(X0,empty_set,empty_set))),empty_set)|~spl0_177)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f1710,f3487])).
% 3.48/0.76 fof(f5786,plain,(
% 3.48/0.76 ~spl0_6|spl0_338|~spl0_177),
% 3.48/0.76 inference(split_clause,[status(thm)],[f5785,f945,f5782,f3187])).
% 3.48/0.76 fof(f5787,plain,(
% 3.48/0.76 spl0_339 <=> ~in(sk0_4(relation_image(sk0_61,X0),sk0_61,X1),X0)|~relation(X1)|sk0_61=relation_rng_restriction(relation_image(sk0_61,X0),X1)|in(ordered_pair(sk0_4(relation_image(sk0_61,X0),sk0_61,X1),sk0_5(relation_image(sk0_61,X0),sk0_61,X1)),X1)|~relation(X1)|sk0_61=relation_rng_restriction(relation_image(sk0_61,X0),X1)|~in(ordered_pair(sk0_4(relation_image(sk0_61,X0),sk0_61,X1),sk0_5(relation_image(sk0_61,X0),sk0_61,X1)),sk0_61)|~in(ordered_pair(sk0_4(relation_image(sk0_61,X0),sk0_61,X1),sk0_5(relation_image(sk0_61,X0),sk0_61,X1)),X1)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f5790,plain,(
% 3.48/0.76 ![X0,X1]: (~in(sk0_4(relation_image(sk0_61,X0),sk0_61,X1),X0)|~relation(X1)|sk0_61=relation_rng_restriction(relation_image(sk0_61,X0),X1)|in(ordered_pair(sk0_4(relation_image(sk0_61,X0),sk0_61,X1),sk0_5(relation_image(sk0_61,X0),sk0_61,X1)),X1)|~relation(X1)|~relation(sk0_61)|sk0_61=relation_rng_restriction(relation_image(sk0_61,X0),X1)|~in(ordered_pair(sk0_4(relation_image(sk0_61,X0),sk0_61,X1),sk0_5(relation_image(sk0_61,X0),sk0_61,X1)),sk0_61)|~in(ordered_pair(sk0_4(relation_image(sk0_61,X0),sk0_61,X1),sk0_5(relation_image(sk0_61,X0),sk0_61,X1)),X1)|~spl0_270)),
% 3.48/0.76 inference(resolution,[status(thm)],[f4188,f248])).
% 3.48/0.76 fof(f5791,plain,(
% 3.48/0.76 spl0_339|~spl0_58|~spl0_270),
% 3.48/0.76 inference(split_clause,[status(thm)],[f5790,f5787,f1304,f4187])).
% 3.48/0.76 fof(f5832,plain,(
% 3.48/0.76 spl0_340 <=> relation_rng_restriction(empty_set,sk0_61)=empty_set),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f5835,plain,(
% 3.48/0.76 ~relation_rng(empty_set)=empty_set|relation_rng_restriction(empty_set,sk0_61)=empty_set|~spl0_178|~spl0_225),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f3841,f3613])).
% 3.48/0.76 fof(f5836,plain,(
% 3.48/0.76 ~spl0_9|spl0_340|~spl0_178|~spl0_225),
% 3.48/0.76 inference(split_clause,[status(thm)],[f5835,f965,f5832,f3203,f3781])).
% 3.48/0.76 fof(f5877,plain,(
% 3.48/0.76 spl0_341 <=> ~in(empty_set,powerset(X0))|~relation(X0)|subset(empty_set,relation_rng(X0))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f5880,plain,(
% 3.48/0.76 ![X0]: (~in(empty_set,powerset(X0))|~relation(empty_set)|~relation(X0)|subset(empty_set,relation_rng(X0)))),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f777,f4320])).
% 3.48/0.76 fof(f5881,plain,(
% 3.48/0.76 spl0_341|~spl0_6),
% 3.48/0.76 inference(split_clause,[status(thm)],[f5880,f5877,f945])).
% 3.48/0.76 fof(f5884,plain,(
% 3.48/0.76 spl0_342 <=> ~in(X0,powerset(empty_set))|~relation(X0)|subset(relation_rng(X0),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f5885,plain,(
% 3.48/0.76 ![X0]: (~in(X0,powerset(empty_set))|~relation(X0)|subset(relation_rng(X0),empty_set)|~spl0_342)),
% 3.48/0.76 inference(component_clause,[status(thm)],[f5884])).
% 3.48/0.76 fof(f5887,plain,(
% 3.48/0.76 ![X0]: (~in(X0,powerset(empty_set))|~relation(X0)|~relation(empty_set)|subset(relation_rng(X0),empty_set))),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f777,f4320])).
% 3.48/0.76 fof(f5888,plain,(
% 3.48/0.76 spl0_342|~spl0_6),
% 3.48/0.76 inference(split_clause,[status(thm)],[f5887,f5884,f945])).
% 3.48/0.76 fof(f5889,plain,(
% 3.48/0.76 ![X0]: (~in(X0,singleton(empty_set))|~relation(X0)|subset(relation_rng(X0),empty_set)|~spl0_342)),
% 3.48/0.76 inference(forward_demodulation,[status(thm)],[f662,f5885])).
% 3.48/0.76 fof(f5919,plain,(
% 3.48/0.76 ![X0,X1]: (set_difference(set_difference(X0,X1),X0)=empty_set)),
% 3.48/0.76 inference(resolution,[status(thm)],[f533,f696])).
% 3.48/0.76 fof(f5920,plain,(
% 3.48/0.76 ![X0,X1]: (set_difference(set_intersection2(X0,X1),X1)=empty_set)),
% 3.48/0.76 inference(resolution,[status(thm)],[f533,f1953])).
% 3.48/0.76 fof(f5921,plain,(
% 3.48/0.76 ![X0,X1]: (set_difference(set_intersection2(X0,X1),X0)=empty_set)),
% 3.48/0.76 inference(resolution,[status(thm)],[f533,f653])).
% 3.48/0.76 fof(f5923,plain,(
% 3.48/0.76 ![X0,X1]: (set_difference(X0,set_union2(X1,X0))=empty_set)),
% 3.48/0.76 inference(resolution,[status(thm)],[f533,f1975])).
% 3.48/0.76 fof(f5924,plain,(
% 3.48/0.76 ![X0,X1]: (set_difference(X0,set_union2(X0,X1))=empty_set)),
% 3.48/0.76 inference(resolution,[status(thm)],[f533,f811])).
% 3.48/0.76 fof(f5926,plain,(
% 3.48/0.76 ![X0]: (set_difference(X0,X0)=empty_set)),
% 3.48/0.76 inference(resolution,[status(thm)],[f533,f884])).
% 3.48/0.76 fof(f5930,plain,(
% 3.48/0.76 spl0_343 <=> ~relation(X0)|subset(relation_rng(set_difference(X0,X0)),relation_rng(X0))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f5933,plain,(
% 3.48/0.76 ![X0]: (~relation(empty_set)|~relation(X0)|subset(relation_rng(set_difference(X0,X0)),relation_rng(X0)))),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f5926,f1961])).
% 3.48/0.76 fof(f5934,plain,(
% 3.48/0.76 ~spl0_6|spl0_343),
% 3.48/0.76 inference(split_clause,[status(thm)],[f5933,f945,f5930])).
% 3.48/0.76 fof(f5947,plain,(
% 3.48/0.76 spl0_344 <=> ~relation(set_difference(X0,X1))|subset(relation_rng(set_difference(set_difference(X0,X1),X0)),relation_rng(set_difference(X0,X1)))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f5950,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(empty_set)|~relation(set_difference(X0,X1))|subset(relation_rng(set_difference(set_difference(X0,X1),X0)),relation_rng(set_difference(X0,X1))))),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f5919,f1961])).
% 3.48/0.76 fof(f5951,plain,(
% 3.48/0.76 ~spl0_6|spl0_344),
% 3.48/0.76 inference(split_clause,[status(thm)],[f5950,f945,f5947])).
% 3.48/0.76 fof(f5968,plain,(
% 3.48/0.76 spl0_345 <=> ~relation(set_intersection2(X0,X1))|subset(relation_rng(set_difference(set_intersection2(X0,X1),X1)),relation_rng(set_intersection2(X0,X1)))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f5971,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(empty_set)|~relation(set_intersection2(X0,X1))|subset(relation_rng(set_difference(set_intersection2(X0,X1),X1)),relation_rng(set_intersection2(X0,X1))))),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f5920,f1961])).
% 3.48/0.76 fof(f5972,plain,(
% 3.48/0.76 ~spl0_6|spl0_345),
% 3.48/0.76 inference(split_clause,[status(thm)],[f5971,f945,f5968])).
% 3.48/0.76 fof(f5989,plain,(
% 3.48/0.76 spl0_346 <=> ~relation(set_intersection2(X0,X1))|subset(relation_rng(set_difference(set_intersection2(X0,X1),X0)),relation_rng(set_intersection2(X0,X1)))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f5992,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(empty_set)|~relation(set_intersection2(X0,X1))|subset(relation_rng(set_difference(set_intersection2(X0,X1),X0)),relation_rng(set_intersection2(X0,X1))))),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f5921,f1961])).
% 3.48/0.76 fof(f5993,plain,(
% 3.48/0.76 ~spl0_6|spl0_346),
% 3.48/0.76 inference(split_clause,[status(thm)],[f5992,f945,f5989])).
% 3.48/0.76 fof(f6009,plain,(
% 3.48/0.76 spl0_347 <=> ~relation(X0)|subset(relation_rng(set_difference(X0,set_union2(X1,X0))),relation_rng(X0))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6012,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(empty_set)|~relation(X0)|subset(relation_rng(set_difference(X0,set_union2(X1,X0))),relation_rng(X0)))),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f5923,f1961])).
% 3.48/0.76 fof(f6013,plain,(
% 3.48/0.76 ~spl0_6|spl0_347),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6012,f945,f6009])).
% 3.48/0.76 fof(f6029,plain,(
% 3.48/0.76 spl0_348 <=> ~relation(X0)|subset(relation_rng(set_difference(X0,set_union2(X0,X1))),relation_rng(X0))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6032,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(empty_set)|~relation(X0)|subset(relation_rng(set_difference(X0,set_union2(X0,X1))),relation_rng(X0)))),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f5924,f1961])).
% 3.48/0.76 fof(f6033,plain,(
% 3.48/0.76 ~spl0_6|spl0_348),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6032,f945,f6029])).
% 3.48/0.76 fof(f6229,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(X0)|~in(X1,relation_inverse_image(X0,empty_set))|~spl0_281)),
% 3.48/0.76 inference(forward_demodulation,[status(thm)],[f4572,f4558])).
% 3.48/0.76 fof(f6230,plain,(
% 3.48/0.76 ![X0]: (~in(X0,relation_inverse_image(sk0_61,empty_set))|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6229,f648])).
% 3.48/0.76 fof(f6233,plain,(
% 3.48/0.76 ![X0]: (~in(X0,relation_inverse_image(relation_inverse(sk0_61),empty_set))|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6229,f2311])).
% 3.48/0.76 fof(f6236,plain,(
% 3.48/0.76 ![X0]: (~in(X0,relation_inverse_image(relation_inverse(empty_set),empty_set))|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6229,f2310])).
% 3.48/0.76 fof(f6237,plain,(
% 3.48/0.76 ![X0]: (~in(X0,relation_inverse_image(relation_inverse(sk0_56),empty_set))|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6229,f2309])).
% 3.48/0.76 fof(f6239,plain,(
% 3.48/0.76 ![X0]: (~in(X0,relation_inverse_image(sk0_56,empty_set))|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6229,f566])).
% 3.48/0.76 fof(f6246,plain,(
% 3.48/0.76 spl0_357 <=> relation_inverse_image(sk0_61,empty_set)=empty_set),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6259,plain,(
% 3.48/0.76 spl0_359 <=> empty_set=relation_rng_restriction(X0,sk0_61)|~in(sk0_5(X0,empty_set,sk0_61),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6262,plain,(
% 3.48/0.76 ![X0]: (~relation(sk0_61)|empty_set=relation_rng_restriction(X0,sk0_61)|~in(sk0_5(X0,empty_set,sk0_61),empty_set)|~spl0_281|~spl0_177)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6230,f3480])).
% 3.48/0.76 fof(f6263,plain,(
% 3.48/0.76 ~spl0_58|spl0_359|~spl0_281|~spl0_177),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6262,f1304,f6259,f4411,f3187])).
% 3.48/0.76 fof(f6264,plain,(
% 3.48/0.76 spl0_360 <=> ~relation(X0)|sk0_61=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,sk0_61,X0),sk0_5(X1,sk0_61,X0)),X0)|~in(sk0_5(X1,sk0_61,X0),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6267,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(X0)|~relation(sk0_61)|sk0_61=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,sk0_61,X0),sk0_5(X1,sk0_61,X0)),X0)|~in(sk0_5(X1,sk0_61,X0),empty_set)|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6230,f3185])).
% 3.48/0.76 fof(f6268,plain,(
% 3.48/0.76 spl0_360|~spl0_58|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6267,f6264,f1304,f4411])).
% 3.48/0.76 fof(f6270,plain,(
% 3.48/0.76 spl0_361 <=> ~in(X0,relation_image(sk0_61,X1))|~in(X0,empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6273,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(sk0_61)|~in(X0,relation_image(sk0_61,X1))|~in(X0,empty_set)|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6230,f3201])).
% 3.48/0.76 fof(f6274,plain,(
% 3.48/0.76 ~spl0_58|spl0_361|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6273,f1304,f6270,f4411])).
% 3.48/0.76 fof(f6276,plain,(
% 3.48/0.76 relation_inverse_image(sk0_61,empty_set)=empty_set|~spl0_281),
% 3.48/0.76 inference(resolution,[status(thm)],[f6230,f301])).
% 3.48/0.76 fof(f6279,plain,(
% 3.48/0.76 spl0_362 <=> relation(relation_inverse_image(sk0_61,empty_set))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6281,plain,(
% 3.48/0.76 ~relation(relation_inverse_image(sk0_61,empty_set))|spl0_362),
% 3.48/0.76 inference(component_clause,[status(thm)],[f6279])).
% 3.48/0.76 fof(f6282,plain,(
% 3.48/0.76 ~relation(relation_inverse_image(sk0_61,empty_set))|relation_inverse_image(sk0_61,empty_set)=empty_set|~spl0_281|~spl0_178),
% 3.48/0.76 inference(resolution,[status(thm)],[f6230,f4082])).
% 3.48/0.76 fof(f6283,plain,(
% 3.48/0.76 ~spl0_362|spl0_357|~spl0_281|~spl0_178),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6282,f6279,f6246,f4411,f3203])).
% 3.48/0.76 fof(f6284,plain,(
% 3.48/0.76 spl0_363 <=> ~in(X0,relation_image(relation_inverse_image(sk0_61,empty_set),X1))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6287,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(relation_inverse_image(sk0_61,empty_set))|~in(X0,relation_image(relation_inverse_image(sk0_61,empty_set),X1))|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6230,f892])).
% 3.48/0.76 fof(f6288,plain,(
% 3.48/0.76 ~spl0_362|spl0_363|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6287,f6279,f6284,f4411])).
% 3.48/0.76 fof(f6289,plain,(
% 3.48/0.76 spl0_364 <=> ~relation(X0)|relation_inverse_image(sk0_61,empty_set)=relation_rng_restriction(empty_set,X0)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6292,plain,(
% 3.48/0.76 ![X0]: (~relation(X0)|~relation(relation_inverse_image(sk0_61,empty_set))|relation_inverse_image(sk0_61,empty_set)=relation_rng_restriction(empty_set,X0)|~spl0_281|~spl0_178)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6230,f3491])).
% 3.48/0.76 fof(f6293,plain,(
% 3.48/0.76 spl0_364|~spl0_362|~spl0_281|~spl0_178),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6292,f6289,f6279,f4411,f3203])).
% 3.48/0.76 fof(f6294,plain,(
% 3.48/0.76 spl0_365 <=> empty_set=relation_rng_restriction(X0,relation_inverse_image(sk0_61,empty_set))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6297,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_inverse_image(sk0_61,empty_set))|empty_set=relation_rng_restriction(X0,relation_inverse_image(sk0_61,empty_set))|~spl0_281|~spl0_177)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6230,f3188])).
% 3.48/0.76 fof(f6298,plain,(
% 3.48/0.76 ~spl0_362|spl0_365|~spl0_281|~spl0_177),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6297,f6279,f6294,f4411,f3187])).
% 3.48/0.76 fof(f6299,plain,(
% 3.48/0.76 spl0_366 <=> ~relation(X0)|relation_inverse_image(sk0_61,empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse_image(sk0_61,empty_set),X0),sk0_5(X1,relation_inverse_image(sk0_61,empty_set),X0)),X0)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6302,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(X0)|~relation(relation_inverse_image(sk0_61,empty_set))|relation_inverse_image(sk0_61,empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse_image(sk0_61,empty_set),X0),sk0_5(X1,relation_inverse_image(sk0_61,empty_set),X0)),X0)|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6230,f250])).
% 3.48/0.76 fof(f6303,plain,(
% 3.48/0.76 spl0_366|~spl0_362|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6302,f6299,f6279,f4411])).
% 3.48/0.76 fof(f6304,plain,(
% 3.48/0.76 spl0_367 <=> ~in(X0,relation_inverse_image(relation_inverse_image(sk0_61,empty_set),X1))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6307,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(relation_inverse_image(sk0_61,empty_set))|~in(X0,relation_inverse_image(relation_inverse_image(sk0_61,empty_set),X1))|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6230,f895])).
% 3.48/0.76 fof(f6308,plain,(
% 3.48/0.76 ~spl0_362|spl0_367|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6307,f6279,f6304,f4411])).
% 3.48/0.76 fof(f6327,plain,(
% 3.48/0.76 spl0_371 <=> ~in(X0,relation_image(sk0_61,X1))|in(sk0_6(X0,relation_image(sk0_61,X1),X1,sk0_61),empty_set)|~in(X0,empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6330,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(sk0_61)|~in(X0,relation_image(sk0_61,X1))|in(sk0_6(X0,relation_image(sk0_61,X1),X1,sk0_61),empty_set)|~in(X0,empty_set)|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6276,f3201])).
% 3.48/0.76 fof(f6331,plain,(
% 3.48/0.76 ~spl0_58|spl0_371|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6330,f1304,f6327,f4411])).
% 3.48/0.76 fof(f6332,plain,(
% 3.48/0.76 spl0_372 <=> ~in(X0,relation_inverse_image(sk0_61,empty_set))|in(sk0_9(X0,empty_set,empty_set,sk0_61),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6335,plain,(
% 3.48/0.76 ![X0]: (~relation(sk0_61)|~in(X0,relation_inverse_image(sk0_61,empty_set))|in(sk0_9(X0,empty_set,empty_set,sk0_61),empty_set)|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6276,f896])).
% 3.48/0.76 fof(f6336,plain,(
% 3.48/0.76 ~spl0_58|spl0_372|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6335,f1304,f6332,f4411])).
% 3.48/0.76 fof(f6337,plain,(
% 3.48/0.76 spl0_373 <=> ~in(X0,relation_inverse_image(sk0_61,empty_set))|in(ordered_pair(X0,sk0_9(X0,empty_set,empty_set,sk0_61)),sk0_61)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6340,plain,(
% 3.48/0.76 ![X0]: (~relation(sk0_61)|~in(X0,relation_inverse_image(sk0_61,empty_set))|in(ordered_pair(X0,sk0_9(X0,empty_set,empty_set,sk0_61)),sk0_61)|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6276,f895])).
% 3.48/0.76 fof(f6341,plain,(
% 3.48/0.76 ~spl0_58|spl0_373|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6340,f1304,f6337,f4411])).
% 3.48/0.76 fof(f6342,plain,(
% 3.48/0.76 spl0_374 <=> ~relation(X0)|sk0_61=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,sk0_61,X0),sk0_5(X1,sk0_61,X0)),X0)|in(sk0_4(X1,sk0_61,X0),empty_set)|~in(sk0_5(X1,sk0_61,X0),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6345,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(X0)|~relation(sk0_61)|sk0_61=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,sk0_61,X0),sk0_5(X1,sk0_61,X0)),X0)|in(sk0_4(X1,sk0_61,X0),empty_set)|~in(sk0_5(X1,sk0_61,X0),empty_set)|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6276,f3185])).
% 3.48/0.76 fof(f6346,plain,(
% 3.48/0.76 spl0_374|~spl0_58|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6345,f6342,f1304,f4411])).
% 3.48/0.76 fof(f6347,plain,(
% 3.48/0.76 spl0_375 <=> empty_set=relation_rng_restriction(X0,sk0_61)|in(sk0_4(X0,empty_set,sk0_61),empty_set)|~in(sk0_5(X0,empty_set,sk0_61),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6350,plain,(
% 3.48/0.76 ![X0]: (~relation(sk0_61)|empty_set=relation_rng_restriction(X0,sk0_61)|in(sk0_4(X0,empty_set,sk0_61),empty_set)|~in(sk0_5(X0,empty_set,sk0_61),empty_set)|~spl0_177|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6276,f3480])).
% 3.48/0.76 fof(f6351,plain,(
% 3.48/0.76 ~spl0_58|spl0_375|~spl0_177|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6350,f1304,f6347,f3187,f4411])).
% 3.48/0.76 fof(f6356,plain,(
% 3.48/0.76 ~relation(empty_set)|~spl0_281|spl0_362),
% 3.48/0.76 inference(forward_demodulation,[status(thm)],[f6276,f6281])).
% 3.48/0.76 fof(f6357,plain,(
% 3.48/0.76 $false|~spl0_281|spl0_362),
% 3.48/0.76 inference(forward_subsumption_resolution,[status(thm)],[f6356,f491])).
% 3.48/0.76 fof(f6358,plain,(
% 3.48/0.76 ~spl0_281|spl0_362),
% 3.48/0.76 inference(contradiction_clause,[status(thm)],[f6357])).
% 3.48/0.76 fof(f6368,plain,(
% 3.48/0.76 spl0_376 <=> relation_inverse_image(sk0_56,empty_set)=empty_set),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6381,plain,(
% 3.48/0.76 spl0_378 <=> empty_set=relation_rng_restriction(X0,sk0_56)|~in(sk0_5(X0,empty_set,sk0_56),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6384,plain,(
% 3.48/0.76 ![X0]: (~relation(sk0_56)|empty_set=relation_rng_restriction(X0,sk0_56)|~in(sk0_5(X0,empty_set,sk0_56),empty_set)|~spl0_281|~spl0_177)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6239,f3480])).
% 3.48/0.76 fof(f6385,plain,(
% 3.48/0.76 ~spl0_83|spl0_378|~spl0_281|~spl0_177),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6384,f2146,f6381,f4411,f3187])).
% 3.48/0.76 fof(f6386,plain,(
% 3.48/0.76 spl0_379 <=> ~relation(X0)|sk0_56=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,sk0_56,X0),sk0_5(X1,sk0_56,X0)),X0)|~in(sk0_5(X1,sk0_56,X0),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6389,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(X0)|~relation(sk0_56)|sk0_56=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,sk0_56,X0),sk0_5(X1,sk0_56,X0)),X0)|~in(sk0_5(X1,sk0_56,X0),empty_set)|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6239,f3185])).
% 3.48/0.76 fof(f6390,plain,(
% 3.48/0.76 spl0_379|~spl0_83|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6389,f6386,f2146,f4411])).
% 3.48/0.76 fof(f6392,plain,(
% 3.48/0.76 spl0_380 <=> ~in(X0,relation_image(sk0_56,X1))|~in(X0,empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6395,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(sk0_56)|~in(X0,relation_image(sk0_56,X1))|~in(X0,empty_set)|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6239,f3201])).
% 3.48/0.76 fof(f6396,plain,(
% 3.48/0.76 ~spl0_83|spl0_380|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6395,f2146,f6392,f4411])).
% 3.48/0.76 fof(f6398,plain,(
% 3.48/0.76 relation_inverse_image(sk0_56,empty_set)=empty_set|~spl0_281),
% 3.48/0.76 inference(resolution,[status(thm)],[f6239,f301])).
% 3.48/0.76 fof(f6401,plain,(
% 3.48/0.76 spl0_381 <=> relation(relation_inverse_image(sk0_56,empty_set))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6403,plain,(
% 3.48/0.76 ~relation(relation_inverse_image(sk0_56,empty_set))|spl0_381),
% 3.48/0.76 inference(component_clause,[status(thm)],[f6401])).
% 3.48/0.76 fof(f6404,plain,(
% 3.48/0.76 ~relation(relation_inverse_image(sk0_56,empty_set))|relation_inverse_image(sk0_56,empty_set)=empty_set|~spl0_281|~spl0_178),
% 3.48/0.76 inference(resolution,[status(thm)],[f6239,f4082])).
% 3.48/0.76 fof(f6405,plain,(
% 3.48/0.76 ~spl0_381|spl0_376|~spl0_281|~spl0_178),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6404,f6401,f6368,f4411,f3203])).
% 3.48/0.76 fof(f6406,plain,(
% 3.48/0.76 spl0_382 <=> ~in(X0,relation_image(relation_inverse_image(sk0_56,empty_set),X1))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6409,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(relation_inverse_image(sk0_56,empty_set))|~in(X0,relation_image(relation_inverse_image(sk0_56,empty_set),X1))|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6239,f892])).
% 3.48/0.76 fof(f6410,plain,(
% 3.48/0.76 ~spl0_381|spl0_382|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6409,f6401,f6406,f4411])).
% 3.48/0.76 fof(f6411,plain,(
% 3.48/0.76 spl0_383 <=> ~relation(X0)|relation_inverse_image(sk0_56,empty_set)=relation_rng_restriction(empty_set,X0)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6414,plain,(
% 3.48/0.76 ![X0]: (~relation(X0)|~relation(relation_inverse_image(sk0_56,empty_set))|relation_inverse_image(sk0_56,empty_set)=relation_rng_restriction(empty_set,X0)|~spl0_281|~spl0_178)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6239,f3491])).
% 3.48/0.76 fof(f6415,plain,(
% 3.48/0.76 spl0_383|~spl0_381|~spl0_281|~spl0_178),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6414,f6411,f6401,f4411,f3203])).
% 3.48/0.76 fof(f6416,plain,(
% 3.48/0.76 spl0_384 <=> empty_set=relation_rng_restriction(X0,relation_inverse_image(sk0_56,empty_set))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6419,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_inverse_image(sk0_56,empty_set))|empty_set=relation_rng_restriction(X0,relation_inverse_image(sk0_56,empty_set))|~spl0_281|~spl0_177)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6239,f3188])).
% 3.48/0.76 fof(f6420,plain,(
% 3.48/0.76 ~spl0_381|spl0_384|~spl0_281|~spl0_177),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6419,f6401,f6416,f4411,f3187])).
% 3.48/0.76 fof(f6421,plain,(
% 3.48/0.76 spl0_385 <=> ~relation(X0)|relation_inverse_image(sk0_56,empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse_image(sk0_56,empty_set),X0),sk0_5(X1,relation_inverse_image(sk0_56,empty_set),X0)),X0)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6424,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(X0)|~relation(relation_inverse_image(sk0_56,empty_set))|relation_inverse_image(sk0_56,empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse_image(sk0_56,empty_set),X0),sk0_5(X1,relation_inverse_image(sk0_56,empty_set),X0)),X0)|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6239,f250])).
% 3.48/0.76 fof(f6425,plain,(
% 3.48/0.76 spl0_385|~spl0_381|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6424,f6421,f6401,f4411])).
% 3.48/0.76 fof(f6426,plain,(
% 3.48/0.76 spl0_386 <=> ~in(X0,relation_inverse_image(relation_inverse_image(sk0_56,empty_set),X1))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6429,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(relation_inverse_image(sk0_56,empty_set))|~in(X0,relation_inverse_image(relation_inverse_image(sk0_56,empty_set),X1))|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6239,f895])).
% 3.48/0.76 fof(f6430,plain,(
% 3.48/0.76 ~spl0_381|spl0_386|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6429,f6401,f6426,f4411])).
% 3.48/0.76 fof(f6434,plain,(
% 3.48/0.76 spl0_387 <=> ~in(X0,relation_image(sk0_56,X1))|in(sk0_6(X0,relation_image(sk0_56,X1),X1,sk0_56),empty_set)|~in(X0,empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6437,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(sk0_56)|~in(X0,relation_image(sk0_56,X1))|in(sk0_6(X0,relation_image(sk0_56,X1),X1,sk0_56),empty_set)|~in(X0,empty_set)|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6398,f3201])).
% 3.48/0.76 fof(f6438,plain,(
% 3.48/0.76 ~spl0_83|spl0_387|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6437,f2146,f6434,f4411])).
% 3.48/0.76 fof(f6439,plain,(
% 3.48/0.76 spl0_388 <=> ~in(X0,relation_inverse_image(sk0_56,empty_set))|in(sk0_9(X0,empty_set,empty_set,sk0_56),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6442,plain,(
% 3.48/0.76 ![X0]: (~relation(sk0_56)|~in(X0,relation_inverse_image(sk0_56,empty_set))|in(sk0_9(X0,empty_set,empty_set,sk0_56),empty_set)|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6398,f896])).
% 3.48/0.76 fof(f6443,plain,(
% 3.48/0.76 ~spl0_83|spl0_388|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6442,f2146,f6439,f4411])).
% 3.48/0.76 fof(f6444,plain,(
% 3.48/0.76 spl0_389 <=> ~in(X0,relation_inverse_image(sk0_56,empty_set))|in(ordered_pair(X0,sk0_9(X0,empty_set,empty_set,sk0_56)),sk0_56)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6447,plain,(
% 3.48/0.76 ![X0]: (~relation(sk0_56)|~in(X0,relation_inverse_image(sk0_56,empty_set))|in(ordered_pair(X0,sk0_9(X0,empty_set,empty_set,sk0_56)),sk0_56)|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6398,f895])).
% 3.48/0.76 fof(f6448,plain,(
% 3.48/0.76 ~spl0_83|spl0_389|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6447,f2146,f6444,f4411])).
% 3.48/0.76 fof(f6449,plain,(
% 3.48/0.76 spl0_390 <=> ~relation(X0)|sk0_56=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,sk0_56,X0),sk0_5(X1,sk0_56,X0)),X0)|in(sk0_4(X1,sk0_56,X0),empty_set)|~in(sk0_5(X1,sk0_56,X0),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6452,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(X0)|~relation(sk0_56)|sk0_56=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,sk0_56,X0),sk0_5(X1,sk0_56,X0)),X0)|in(sk0_4(X1,sk0_56,X0),empty_set)|~in(sk0_5(X1,sk0_56,X0),empty_set)|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6398,f3185])).
% 3.48/0.76 fof(f6453,plain,(
% 3.48/0.76 spl0_390|~spl0_83|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6452,f6449,f2146,f4411])).
% 3.48/0.76 fof(f6454,plain,(
% 3.48/0.76 spl0_391 <=> empty_set=relation_rng_restriction(X0,sk0_56)|in(sk0_4(X0,empty_set,sk0_56),empty_set)|~in(sk0_5(X0,empty_set,sk0_56),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6457,plain,(
% 3.48/0.76 ![X0]: (~relation(sk0_56)|empty_set=relation_rng_restriction(X0,sk0_56)|in(sk0_4(X0,empty_set,sk0_56),empty_set)|~in(sk0_5(X0,empty_set,sk0_56),empty_set)|~spl0_177|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6398,f3480])).
% 3.48/0.76 fof(f6458,plain,(
% 3.48/0.76 ~spl0_83|spl0_391|~spl0_177|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6457,f2146,f6454,f3187,f4411])).
% 3.48/0.76 fof(f6530,plain,(
% 3.48/0.76 spl0_392 <=> ~in(X0,relation_inverse_image(sk0_56,empty_set))|in(sk0_9(X0,empty_set,empty_set,sk0_56),relation_rng(sk0_56))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6533,plain,(
% 3.48/0.76 ![X0]: (~relation(sk0_56)|~in(X0,relation_inverse_image(sk0_56,empty_set))|in(sk0_9(X0,empty_set,empty_set,sk0_56),relation_rng(sk0_56))|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6398,f4406])).
% 3.48/0.76 fof(f6534,plain,(
% 3.48/0.76 ~spl0_83|spl0_392|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6533,f2146,f6530,f4411])).
% 3.48/0.76 fof(f6535,plain,(
% 3.48/0.76 spl0_393 <=> ~in(X0,relation_inverse_image(sk0_61,empty_set))|in(sk0_9(X0,empty_set,empty_set,sk0_61),relation_rng(sk0_61))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6538,plain,(
% 3.48/0.76 ![X0]: (~relation(sk0_61)|~in(X0,relation_inverse_image(sk0_61,empty_set))|in(sk0_9(X0,empty_set,empty_set,sk0_61),relation_rng(sk0_61))|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6276,f4406])).
% 3.48/0.76 fof(f6539,plain,(
% 3.48/0.76 ~spl0_58|spl0_393|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6538,f1304,f6535,f4411])).
% 3.48/0.76 fof(f6540,plain,(
% 3.48/0.76 spl0_394 <=> ~in(X0,relation_inverse_image(empty_set,X1))|in(sk0_9(X0,empty_set,X1,empty_set),relation_rng(empty_set))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6543,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(empty_set)|~in(X0,relation_inverse_image(empty_set,X1))|in(sk0_9(X0,empty_set,X1,empty_set),relation_rng(empty_set))|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f4572,f4406])).
% 3.48/0.76 fof(f6544,plain,(
% 3.48/0.76 ~spl0_6|spl0_394|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6543,f945,f6540,f4411])).
% 3.48/0.76 fof(f6547,plain,(
% 3.48/0.76 spl0_395 <=> ~in(X0,relation_inverse_image(empty_set,X1))|in(sk0_9(X0,relation_inverse_image(empty_set,X1),X1,empty_set),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6550,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(empty_set)|~in(X0,relation_inverse_image(empty_set,X1))|in(sk0_9(X0,relation_inverse_image(empty_set,X1),X1,empty_set),empty_set))),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f777,f4406])).
% 3.48/0.76 fof(f6551,plain,(
% 3.48/0.76 ~spl0_6|spl0_395),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6550,f945,f6547])).
% 3.48/0.76 fof(f6567,plain,(
% 3.48/0.76 ![X0]: (subset(relation_rng_restriction(X0,sk0_61),sk0_61))),
% 3.48/0.76 inference(resolution,[status(thm)],[f601,f648])).
% 3.48/0.76 fof(f6570,plain,(
% 3.48/0.76 ![X0]: (subset(relation_rng_restriction(X0,relation_inverse(sk0_61)),relation_inverse(sk0_61)))),
% 3.48/0.76 inference(resolution,[status(thm)],[f601,f2311])).
% 3.48/0.76 fof(f6576,plain,(
% 3.48/0.76 ![X0]: (subset(relation_rng_restriction(X0,sk0_56),sk0_56))),
% 3.48/0.76 inference(resolution,[status(thm)],[f601,f566])).
% 3.48/0.76 fof(f6580,plain,(
% 3.48/0.76 ![X0]: (set_difference(relation_rng_restriction(X0,sk0_61),sk0_61)=empty_set)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6567,f533])).
% 3.48/0.76 fof(f6582,plain,(
% 3.48/0.76 ![X0]: (set_intersection2(relation_rng_restriction(X0,sk0_61),sk0_61)=relation_rng_restriction(X0,sk0_61))),
% 3.48/0.76 inference(resolution,[status(thm)],[f6567,f676])).
% 3.48/0.76 fof(f6583,plain,(
% 3.48/0.76 ![X0]: (set_intersection2(sk0_61,relation_rng_restriction(X0,sk0_61))=relation_rng_restriction(X0,sk0_61))),
% 3.48/0.76 inference(forward_demodulation,[status(thm)],[f215,f6582])).
% 3.48/0.76 fof(f6584,plain,(
% 3.48/0.76 ![X0]: (set_union2(relation_rng_restriction(X0,sk0_61),sk0_61)=sk0_61)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6567,f615])).
% 3.48/0.76 fof(f6585,plain,(
% 3.48/0.76 ![X0]: (set_union2(sk0_61,relation_rng_restriction(X0,sk0_61))=sk0_61)),
% 3.48/0.76 inference(forward_demodulation,[status(thm)],[f214,f6584])).
% 3.48/0.76 fof(f6587,plain,(
% 3.48/0.76 spl0_396 <=> ~relation(relation_rng_restriction(X0,sk0_61))|subset(relation_rng(relation_rng_restriction(X0,sk0_61)),relation_rng(sk0_61))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6588,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_rng_restriction(X0,sk0_61))|subset(relation_rng(relation_rng_restriction(X0,sk0_61)),relation_rng(sk0_61))|~spl0_396)),
% 3.48/0.76 inference(component_clause,[status(thm)],[f6587])).
% 3.48/0.76 fof(f6590,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_rng_restriction(X0,sk0_61))|~relation(sk0_61)|subset(relation_rng(relation_rng_restriction(X0,sk0_61)),relation_rng(sk0_61)))),
% 3.48/0.76 inference(resolution,[status(thm)],[f6567,f671])).
% 3.48/0.76 fof(f6591,plain,(
% 3.48/0.76 spl0_396|~spl0_58),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6590,f6587,f1304])).
% 3.48/0.76 fof(f6600,plain,(
% 3.48/0.76 spl0_397 <=> ~relation(relation_rng_restriction(X0,sk0_56))|subset(relation_rng(relation_rng_restriction(X0,sk0_56)),relation_rng(sk0_56))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6601,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_rng_restriction(X0,sk0_56))|subset(relation_rng(relation_rng_restriction(X0,sk0_56)),relation_rng(sk0_56))|~spl0_397)),
% 3.48/0.76 inference(component_clause,[status(thm)],[f6600])).
% 3.48/0.76 fof(f6603,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_rng_restriction(X0,sk0_56))|~relation(sk0_56)|subset(relation_rng(relation_rng_restriction(X0,sk0_56)),relation_rng(sk0_56)))),
% 3.48/0.76 inference(resolution,[status(thm)],[f6576,f671])).
% 3.48/0.76 fof(f6604,plain,(
% 3.48/0.76 spl0_397|~spl0_83),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6603,f6600,f2146])).
% 3.48/0.76 fof(f6608,plain,(
% 3.48/0.76 ![X0]: (subset(sk0_51(powerset(X0)),X0))),
% 3.48/0.76 inference(resolution,[status(thm)],[f722,f471])).
% 3.48/0.76 fof(f6614,plain,(
% 3.48/0.76 ![X0]: (set_difference(sk0_51(powerset(X0)),X0)=empty_set)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6608,f533])).
% 3.48/0.76 fof(f6618,plain,(
% 3.48/0.76 ![X0]: (set_union2(sk0_51(powerset(X0)),X0)=X0)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6608,f615])).
% 3.48/0.76 fof(f6619,plain,(
% 3.48/0.76 ![X0]: (set_union2(X0,sk0_51(powerset(X0)))=X0)),
% 3.48/0.76 inference(forward_demodulation,[status(thm)],[f214,f6618])).
% 3.48/0.76 fof(f6634,plain,(
% 3.48/0.76 spl0_398 <=> subset(relation_rng(sk0_56),relation_rng(set_union2(sk0_56,sk0_51(powerset(sk0_56)))))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6637,plain,(
% 3.48/0.76 ~relation(sk0_56)|subset(relation_rng(sk0_56),relation_rng(set_union2(sk0_56,sk0_51(powerset(sk0_56)))))),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6619,f2262])).
% 3.48/0.76 fof(f6638,plain,(
% 3.48/0.76 ~spl0_83|spl0_398),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6637,f2146,f6634])).
% 3.48/0.76 fof(f6685,plain,(
% 3.48/0.76 spl0_399 <=> relation_inverse_image(relation_inverse(sk0_61),empty_set)=empty_set),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6698,plain,(
% 3.48/0.76 spl0_401 <=> empty_set=relation_rng_restriction(X0,relation_inverse(sk0_61))|~in(sk0_5(X0,empty_set,relation_inverse(sk0_61)),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6701,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_inverse(sk0_61))|empty_set=relation_rng_restriction(X0,relation_inverse(sk0_61))|~in(sk0_5(X0,empty_set,relation_inverse(sk0_61)),empty_set)|~spl0_281|~spl0_177)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6233,f3480])).
% 3.48/0.76 fof(f6702,plain,(
% 3.48/0.76 ~spl0_164|spl0_401|~spl0_281|~spl0_177),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6701,f2912,f6698,f4411,f3187])).
% 3.48/0.76 fof(f6703,plain,(
% 3.48/0.76 spl0_402 <=> ~relation(X0)|relation_inverse(sk0_61)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse(sk0_61),X0),sk0_5(X1,relation_inverse(sk0_61),X0)),X0)|~in(sk0_5(X1,relation_inverse(sk0_61),X0),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6706,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(X0)|~relation(relation_inverse(sk0_61))|relation_inverse(sk0_61)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse(sk0_61),X0),sk0_5(X1,relation_inverse(sk0_61),X0)),X0)|~in(sk0_5(X1,relation_inverse(sk0_61),X0),empty_set)|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6233,f3185])).
% 3.48/0.76 fof(f6707,plain,(
% 3.48/0.76 spl0_402|~spl0_164|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6706,f6703,f2912,f4411])).
% 3.48/0.76 fof(f6709,plain,(
% 3.48/0.76 spl0_403 <=> ~in(X0,relation_image(relation_inverse(sk0_61),X1))|~in(X0,empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6712,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(relation_inverse(sk0_61))|~in(X0,relation_image(relation_inverse(sk0_61),X1))|~in(X0,empty_set)|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6233,f3201])).
% 3.48/0.76 fof(f6713,plain,(
% 3.48/0.76 ~spl0_164|spl0_403|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6712,f2912,f6709,f4411])).
% 3.48/0.76 fof(f6715,plain,(
% 3.48/0.76 relation_inverse_image(relation_inverse(sk0_61),empty_set)=empty_set|~spl0_281),
% 3.48/0.76 inference(resolution,[status(thm)],[f6233,f301])).
% 3.48/0.76 fof(f6718,plain,(
% 3.48/0.76 spl0_404 <=> relation(relation_inverse_image(relation_inverse(sk0_61),empty_set))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6720,plain,(
% 3.48/0.76 ~relation(relation_inverse_image(relation_inverse(sk0_61),empty_set))|spl0_404),
% 3.48/0.76 inference(component_clause,[status(thm)],[f6718])).
% 3.48/0.76 fof(f6721,plain,(
% 3.48/0.76 ~relation(relation_inverse_image(relation_inverse(sk0_61),empty_set))|relation_inverse_image(relation_inverse(sk0_61),empty_set)=empty_set|~spl0_281|~spl0_178),
% 3.48/0.76 inference(resolution,[status(thm)],[f6233,f4082])).
% 3.48/0.76 fof(f6722,plain,(
% 3.48/0.76 ~spl0_404|spl0_399|~spl0_281|~spl0_178),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6721,f6718,f6685,f4411,f3203])).
% 3.48/0.76 fof(f6723,plain,(
% 3.48/0.76 spl0_405 <=> ~in(X0,relation_image(relation_inverse_image(relation_inverse(sk0_61),empty_set),X1))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6726,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(relation_inverse_image(relation_inverse(sk0_61),empty_set))|~in(X0,relation_image(relation_inverse_image(relation_inverse(sk0_61),empty_set),X1))|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6233,f892])).
% 3.48/0.76 fof(f6727,plain,(
% 3.48/0.76 ~spl0_404|spl0_405|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6726,f6718,f6723,f4411])).
% 3.48/0.76 fof(f6728,plain,(
% 3.48/0.76 spl0_406 <=> ~relation(X0)|relation_inverse_image(relation_inverse(sk0_61),empty_set)=relation_rng_restriction(empty_set,X0)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6731,plain,(
% 3.48/0.76 ![X0]: (~relation(X0)|~relation(relation_inverse_image(relation_inverse(sk0_61),empty_set))|relation_inverse_image(relation_inverse(sk0_61),empty_set)=relation_rng_restriction(empty_set,X0)|~spl0_281|~spl0_178)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6233,f3491])).
% 3.48/0.76 fof(f6732,plain,(
% 3.48/0.76 spl0_406|~spl0_404|~spl0_281|~spl0_178),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6731,f6728,f6718,f4411,f3203])).
% 3.48/0.76 fof(f6733,plain,(
% 3.48/0.76 spl0_407 <=> empty_set=relation_rng_restriction(X0,relation_inverse_image(relation_inverse(sk0_61),empty_set))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6736,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_inverse_image(relation_inverse(sk0_61),empty_set))|empty_set=relation_rng_restriction(X0,relation_inverse_image(relation_inverse(sk0_61),empty_set))|~spl0_281|~spl0_177)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6233,f3188])).
% 3.48/0.76 fof(f6737,plain,(
% 3.48/0.76 ~spl0_404|spl0_407|~spl0_281|~spl0_177),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6736,f6718,f6733,f4411,f3187])).
% 3.48/0.76 fof(f6738,plain,(
% 3.48/0.76 spl0_408 <=> ~relation(X0)|relation_inverse_image(relation_inverse(sk0_61),empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse_image(relation_inverse(sk0_61),empty_set),X0),sk0_5(X1,relation_inverse_image(relation_inverse(sk0_61),empty_set),X0)),X0)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6741,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(X0)|~relation(relation_inverse_image(relation_inverse(sk0_61),empty_set))|relation_inverse_image(relation_inverse(sk0_61),empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse_image(relation_inverse(sk0_61),empty_set),X0),sk0_5(X1,relation_inverse_image(relation_inverse(sk0_61),empty_set),X0)),X0)|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6233,f250])).
% 3.48/0.76 fof(f6742,plain,(
% 3.48/0.76 spl0_408|~spl0_404|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6741,f6738,f6718,f4411])).
% 3.48/0.76 fof(f6743,plain,(
% 3.48/0.76 spl0_409 <=> ~in(X0,relation_inverse_image(relation_inverse_image(relation_inverse(sk0_61),empty_set),X1))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6746,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(relation_inverse_image(relation_inverse(sk0_61),empty_set))|~in(X0,relation_inverse_image(relation_inverse_image(relation_inverse(sk0_61),empty_set),X1))|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6233,f895])).
% 3.48/0.76 fof(f6747,plain,(
% 3.48/0.76 ~spl0_404|spl0_409|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6746,f6718,f6743,f4411])).
% 3.48/0.76 fof(f6751,plain,(
% 3.48/0.76 spl0_410 <=> ~in(X0,relation_inverse_image(relation_inverse(sk0_61),empty_set))|in(sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_61)),relation_rng(relation_inverse(sk0_61)))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6754,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_inverse(sk0_61))|~in(X0,relation_inverse_image(relation_inverse(sk0_61),empty_set))|in(sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_61)),relation_rng(relation_inverse(sk0_61)))|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6715,f4406])).
% 3.48/0.76 fof(f6755,plain,(
% 3.48/0.76 ~spl0_164|spl0_410|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6754,f2912,f6751,f4411])).
% 3.48/0.76 fof(f6756,plain,(
% 3.48/0.76 spl0_411 <=> ~in(X0,relation_image(relation_inverse(sk0_61),X1))|in(sk0_6(X0,relation_image(relation_inverse(sk0_61),X1),X1,relation_inverse(sk0_61)),empty_set)|~in(X0,empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6759,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(relation_inverse(sk0_61))|~in(X0,relation_image(relation_inverse(sk0_61),X1))|in(sk0_6(X0,relation_image(relation_inverse(sk0_61),X1),X1,relation_inverse(sk0_61)),empty_set)|~in(X0,empty_set)|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6715,f3201])).
% 3.48/0.76 fof(f6760,plain,(
% 3.48/0.76 ~spl0_164|spl0_411|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6759,f2912,f6756,f4411])).
% 3.48/0.76 fof(f6761,plain,(
% 3.48/0.76 spl0_412 <=> ~in(X0,relation_inverse_image(relation_inverse(sk0_61),empty_set))|in(sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_61)),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6764,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_inverse(sk0_61))|~in(X0,relation_inverse_image(relation_inverse(sk0_61),empty_set))|in(sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_61)),empty_set)|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6715,f896])).
% 3.48/0.76 fof(f6765,plain,(
% 3.48/0.76 ~spl0_164|spl0_412|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6764,f2912,f6761,f4411])).
% 3.48/0.76 fof(f6766,plain,(
% 3.48/0.76 spl0_413 <=> ~in(X0,relation_inverse_image(relation_inverse(sk0_61),empty_set))|in(ordered_pair(X0,sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_61))),relation_inverse(sk0_61))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6769,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_inverse(sk0_61))|~in(X0,relation_inverse_image(relation_inverse(sk0_61),empty_set))|in(ordered_pair(X0,sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_61))),relation_inverse(sk0_61))|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6715,f895])).
% 3.48/0.76 fof(f6770,plain,(
% 3.48/0.76 ~spl0_164|spl0_413|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6769,f2912,f6766,f4411])).
% 3.48/0.76 fof(f6771,plain,(
% 3.48/0.76 spl0_414 <=> ~relation(X0)|relation_inverse(sk0_61)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse(sk0_61),X0),sk0_5(X1,relation_inverse(sk0_61),X0)),X0)|in(sk0_4(X1,relation_inverse(sk0_61),X0),empty_set)|~in(sk0_5(X1,relation_inverse(sk0_61),X0),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6774,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(X0)|~relation(relation_inverse(sk0_61))|relation_inverse(sk0_61)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse(sk0_61),X0),sk0_5(X1,relation_inverse(sk0_61),X0)),X0)|in(sk0_4(X1,relation_inverse(sk0_61),X0),empty_set)|~in(sk0_5(X1,relation_inverse(sk0_61),X0),empty_set)|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6715,f3185])).
% 3.48/0.76 fof(f6775,plain,(
% 3.48/0.76 spl0_414|~spl0_164|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6774,f6771,f2912,f4411])).
% 3.48/0.76 fof(f6776,plain,(
% 3.48/0.76 spl0_415 <=> empty_set=relation_rng_restriction(X0,relation_inverse(sk0_61))|in(sk0_4(X0,empty_set,relation_inverse(sk0_61)),empty_set)|~in(sk0_5(X0,empty_set,relation_inverse(sk0_61)),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6779,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_inverse(sk0_61))|empty_set=relation_rng_restriction(X0,relation_inverse(sk0_61))|in(sk0_4(X0,empty_set,relation_inverse(sk0_61)),empty_set)|~in(sk0_5(X0,empty_set,relation_inverse(sk0_61)),empty_set)|~spl0_177|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6715,f3480])).
% 3.48/0.76 fof(f6780,plain,(
% 3.48/0.76 ~spl0_164|spl0_415|~spl0_177|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6779,f2912,f6776,f3187,f4411])).
% 3.48/0.76 fof(f6785,plain,(
% 3.48/0.76 ~relation(sk0_61)|~in(sk0_62,relation_inverse_image(sk0_61,sk0_63))|spl0_294),
% 3.48/0.76 inference(resolution,[status(thm)],[f4894,f4406])).
% 3.48/0.76 fof(f6786,plain,(
% 3.48/0.76 ~spl0_58|~spl0_0|spl0_294),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6785,f1304,f862,f4892])).
% 3.48/0.76 fof(f6788,plain,(
% 3.48/0.76 ~relation(empty_set)|~spl0_281|spl0_381),
% 3.48/0.76 inference(forward_demodulation,[status(thm)],[f6398,f6403])).
% 3.48/0.76 fof(f6789,plain,(
% 3.48/0.76 $false|~spl0_281|spl0_381),
% 3.48/0.76 inference(forward_subsumption_resolution,[status(thm)],[f6788,f491])).
% 3.48/0.76 fof(f6790,plain,(
% 3.48/0.76 ~spl0_281|spl0_381),
% 3.48/0.76 inference(contradiction_clause,[status(thm)],[f6789])).
% 3.48/0.76 fof(f6801,plain,(
% 3.48/0.76 ~relation(empty_set)|~spl0_281|spl0_404),
% 3.48/0.76 inference(forward_demodulation,[status(thm)],[f6715,f6720])).
% 3.48/0.76 fof(f6802,plain,(
% 3.48/0.76 $false|~spl0_281|spl0_404),
% 3.48/0.76 inference(forward_subsumption_resolution,[status(thm)],[f6801,f491])).
% 3.48/0.76 fof(f6803,plain,(
% 3.48/0.76 ~spl0_281|spl0_404),
% 3.48/0.76 inference(contradiction_clause,[status(thm)],[f6802])).
% 3.48/0.76 fof(f6865,plain,(
% 3.48/0.76 spl0_416 <=> relation_inverse_image(relation_inverse(empty_set),empty_set)=empty_set),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6878,plain,(
% 3.48/0.76 spl0_418 <=> empty_set=relation_rng_restriction(X0,relation_inverse(empty_set))|~in(sk0_5(X0,empty_set,relation_inverse(empty_set)),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6881,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_inverse(empty_set))|empty_set=relation_rng_restriction(X0,relation_inverse(empty_set))|~in(sk0_5(X0,empty_set,relation_inverse(empty_set)),empty_set)|~spl0_281|~spl0_177)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6236,f3480])).
% 3.48/0.76 fof(f6882,plain,(
% 3.48/0.76 ~spl0_231|spl0_418|~spl0_281|~spl0_177),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6881,f3854,f6878,f4411,f3187])).
% 3.48/0.76 fof(f6883,plain,(
% 3.48/0.76 spl0_419 <=> ~relation(X0)|relation_inverse(empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse(empty_set),X0),sk0_5(X1,relation_inverse(empty_set),X0)),X0)|~in(sk0_5(X1,relation_inverse(empty_set),X0),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6886,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(X0)|~relation(relation_inverse(empty_set))|relation_inverse(empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse(empty_set),X0),sk0_5(X1,relation_inverse(empty_set),X0)),X0)|~in(sk0_5(X1,relation_inverse(empty_set),X0),empty_set)|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6236,f3185])).
% 3.48/0.76 fof(f6887,plain,(
% 3.48/0.76 spl0_419|~spl0_231|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6886,f6883,f3854,f4411])).
% 3.48/0.76 fof(f6889,plain,(
% 3.48/0.76 spl0_420 <=> ~in(X0,relation_image(relation_inverse(empty_set),X1))|~in(X0,empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6892,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(relation_inverse(empty_set))|~in(X0,relation_image(relation_inverse(empty_set),X1))|~in(X0,empty_set)|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6236,f3201])).
% 3.48/0.76 fof(f6893,plain,(
% 3.48/0.76 ~spl0_231|spl0_420|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6892,f3854,f6889,f4411])).
% 3.48/0.76 fof(f6895,plain,(
% 3.48/0.76 relation_inverse_image(relation_inverse(empty_set),empty_set)=empty_set|~spl0_281),
% 3.48/0.76 inference(resolution,[status(thm)],[f6236,f301])).
% 3.48/0.76 fof(f6898,plain,(
% 3.48/0.76 spl0_421 <=> relation(relation_inverse_image(relation_inverse(empty_set),empty_set))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6900,plain,(
% 3.48/0.76 ~relation(relation_inverse_image(relation_inverse(empty_set),empty_set))|spl0_421),
% 3.48/0.76 inference(component_clause,[status(thm)],[f6898])).
% 3.48/0.76 fof(f6901,plain,(
% 3.48/0.76 ~relation(relation_inverse_image(relation_inverse(empty_set),empty_set))|relation_inverse_image(relation_inverse(empty_set),empty_set)=empty_set|~spl0_281|~spl0_178),
% 3.48/0.76 inference(resolution,[status(thm)],[f6236,f4082])).
% 3.48/0.76 fof(f6902,plain,(
% 3.48/0.76 ~spl0_421|spl0_416|~spl0_281|~spl0_178),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6901,f6898,f6865,f4411,f3203])).
% 3.48/0.76 fof(f6903,plain,(
% 3.48/0.76 spl0_422 <=> ~in(X0,relation_image(relation_inverse_image(relation_inverse(empty_set),empty_set),X1))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6906,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(relation_inverse_image(relation_inverse(empty_set),empty_set))|~in(X0,relation_image(relation_inverse_image(relation_inverse(empty_set),empty_set),X1))|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6236,f892])).
% 3.48/0.76 fof(f6907,plain,(
% 3.48/0.76 ~spl0_421|spl0_422|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6906,f6898,f6903,f4411])).
% 3.48/0.76 fof(f6908,plain,(
% 3.48/0.76 spl0_423 <=> ~relation(X0)|relation_inverse_image(relation_inverse(empty_set),empty_set)=relation_rng_restriction(empty_set,X0)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6911,plain,(
% 3.48/0.76 ![X0]: (~relation(X0)|~relation(relation_inverse_image(relation_inverse(empty_set),empty_set))|relation_inverse_image(relation_inverse(empty_set),empty_set)=relation_rng_restriction(empty_set,X0)|~spl0_281|~spl0_178)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6236,f3491])).
% 3.48/0.76 fof(f6912,plain,(
% 3.48/0.76 spl0_423|~spl0_421|~spl0_281|~spl0_178),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6911,f6908,f6898,f4411,f3203])).
% 3.48/0.76 fof(f6913,plain,(
% 3.48/0.76 spl0_424 <=> empty_set=relation_rng_restriction(X0,relation_inverse_image(relation_inverse(empty_set),empty_set))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6916,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_inverse_image(relation_inverse(empty_set),empty_set))|empty_set=relation_rng_restriction(X0,relation_inverse_image(relation_inverse(empty_set),empty_set))|~spl0_281|~spl0_177)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6236,f3188])).
% 3.48/0.76 fof(f6917,plain,(
% 3.48/0.76 ~spl0_421|spl0_424|~spl0_281|~spl0_177),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6916,f6898,f6913,f4411,f3187])).
% 3.48/0.76 fof(f6918,plain,(
% 3.48/0.76 spl0_425 <=> ~relation(X0)|relation_inverse_image(relation_inverse(empty_set),empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse_image(relation_inverse(empty_set),empty_set),X0),sk0_5(X1,relation_inverse_image(relation_inverse(empty_set),empty_set),X0)),X0)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6921,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(X0)|~relation(relation_inverse_image(relation_inverse(empty_set),empty_set))|relation_inverse_image(relation_inverse(empty_set),empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse_image(relation_inverse(empty_set),empty_set),X0),sk0_5(X1,relation_inverse_image(relation_inverse(empty_set),empty_set),X0)),X0)|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6236,f250])).
% 3.48/0.76 fof(f6922,plain,(
% 3.48/0.76 spl0_425|~spl0_421|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6921,f6918,f6898,f4411])).
% 3.48/0.76 fof(f6923,plain,(
% 3.48/0.76 spl0_426 <=> ~in(X0,relation_inverse_image(relation_inverse_image(relation_inverse(empty_set),empty_set),X1))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6926,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(relation_inverse_image(relation_inverse(empty_set),empty_set))|~in(X0,relation_inverse_image(relation_inverse_image(relation_inverse(empty_set),empty_set),X1))|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6236,f895])).
% 3.48/0.76 fof(f6927,plain,(
% 3.48/0.76 ~spl0_421|spl0_426|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6926,f6898,f6923,f4411])).
% 3.48/0.76 fof(f6931,plain,(
% 3.48/0.76 spl0_427 <=> ~in(X0,relation_inverse_image(relation_inverse(empty_set),empty_set))|in(sk0_9(X0,empty_set,empty_set,relation_inverse(empty_set)),relation_rng(relation_inverse(empty_set)))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6934,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_inverse(empty_set))|~in(X0,relation_inverse_image(relation_inverse(empty_set),empty_set))|in(sk0_9(X0,empty_set,empty_set,relation_inverse(empty_set)),relation_rng(relation_inverse(empty_set)))|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6895,f4406])).
% 3.48/0.76 fof(f6935,plain,(
% 3.48/0.76 ~spl0_231|spl0_427|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6934,f3854,f6931,f4411])).
% 3.48/0.76 fof(f6936,plain,(
% 3.48/0.76 spl0_428 <=> ~in(X0,relation_image(relation_inverse(empty_set),X1))|in(sk0_6(X0,relation_image(relation_inverse(empty_set),X1),X1,relation_inverse(empty_set)),empty_set)|~in(X0,empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6939,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(relation_inverse(empty_set))|~in(X0,relation_image(relation_inverse(empty_set),X1))|in(sk0_6(X0,relation_image(relation_inverse(empty_set),X1),X1,relation_inverse(empty_set)),empty_set)|~in(X0,empty_set)|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6895,f3201])).
% 3.48/0.76 fof(f6940,plain,(
% 3.48/0.76 ~spl0_231|spl0_428|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6939,f3854,f6936,f4411])).
% 3.48/0.76 fof(f6941,plain,(
% 3.48/0.76 spl0_429 <=> ~in(X0,relation_inverse_image(relation_inverse(empty_set),empty_set))|in(sk0_9(X0,empty_set,empty_set,relation_inverse(empty_set)),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6944,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_inverse(empty_set))|~in(X0,relation_inverse_image(relation_inverse(empty_set),empty_set))|in(sk0_9(X0,empty_set,empty_set,relation_inverse(empty_set)),empty_set)|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6895,f896])).
% 3.48/0.76 fof(f6945,plain,(
% 3.48/0.76 ~spl0_231|spl0_429|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6944,f3854,f6941,f4411])).
% 3.48/0.76 fof(f6946,plain,(
% 3.48/0.76 spl0_430 <=> ~in(X0,relation_inverse_image(relation_inverse(empty_set),empty_set))|in(ordered_pair(X0,sk0_9(X0,empty_set,empty_set,relation_inverse(empty_set))),relation_inverse(empty_set))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6949,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_inverse(empty_set))|~in(X0,relation_inverse_image(relation_inverse(empty_set),empty_set))|in(ordered_pair(X0,sk0_9(X0,empty_set,empty_set,relation_inverse(empty_set))),relation_inverse(empty_set))|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6895,f895])).
% 3.48/0.76 fof(f6950,plain,(
% 3.48/0.76 ~spl0_231|spl0_430|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6949,f3854,f6946,f4411])).
% 3.48/0.76 fof(f6951,plain,(
% 3.48/0.76 spl0_431 <=> ~relation(X0)|relation_inverse(empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse(empty_set),X0),sk0_5(X1,relation_inverse(empty_set),X0)),X0)|in(sk0_4(X1,relation_inverse(empty_set),X0),empty_set)|~in(sk0_5(X1,relation_inverse(empty_set),X0),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6954,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(X0)|~relation(relation_inverse(empty_set))|relation_inverse(empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse(empty_set),X0),sk0_5(X1,relation_inverse(empty_set),X0)),X0)|in(sk0_4(X1,relation_inverse(empty_set),X0),empty_set)|~in(sk0_5(X1,relation_inverse(empty_set),X0),empty_set)|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6895,f3185])).
% 3.48/0.76 fof(f6955,plain,(
% 3.48/0.76 spl0_431|~spl0_231|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6954,f6951,f3854,f4411])).
% 3.48/0.76 fof(f6956,plain,(
% 3.48/0.76 spl0_432 <=> empty_set=relation_rng_restriction(X0,relation_inverse(empty_set))|in(sk0_4(X0,empty_set,relation_inverse(empty_set)),empty_set)|~in(sk0_5(X0,empty_set,relation_inverse(empty_set)),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6959,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_inverse(empty_set))|empty_set=relation_rng_restriction(X0,relation_inverse(empty_set))|in(sk0_4(X0,empty_set,relation_inverse(empty_set)),empty_set)|~in(sk0_5(X0,empty_set,relation_inverse(empty_set)),empty_set)|~spl0_177|~spl0_281)),
% 3.48/0.76 inference(paramodulation,[status(thm)],[f6895,f3480])).
% 3.48/0.76 fof(f6960,plain,(
% 3.48/0.76 ~spl0_231|spl0_432|~spl0_177|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6959,f3854,f6956,f3187,f4411])).
% 3.48/0.76 fof(f6965,plain,(
% 3.48/0.76 ~relation(empty_set)|~spl0_281|spl0_421),
% 3.48/0.76 inference(forward_demodulation,[status(thm)],[f6895,f6900])).
% 3.48/0.76 fof(f6966,plain,(
% 3.48/0.76 $false|~spl0_281|spl0_421),
% 3.48/0.76 inference(forward_subsumption_resolution,[status(thm)],[f6965,f491])).
% 3.48/0.76 fof(f6967,plain,(
% 3.48/0.76 ~spl0_281|spl0_421),
% 3.48/0.76 inference(contradiction_clause,[status(thm)],[f6966])).
% 3.48/0.76 fof(f6979,plain,(
% 3.48/0.76 spl0_433 <=> relation_inverse_image(relation_inverse(sk0_56),empty_set)=empty_set),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6992,plain,(
% 3.48/0.76 spl0_435 <=> empty_set=relation_rng_restriction(X0,relation_inverse(sk0_56))|~in(sk0_5(X0,empty_set,relation_inverse(sk0_56)),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f6995,plain,(
% 3.48/0.76 ![X0]: (~relation(relation_inverse(sk0_56))|empty_set=relation_rng_restriction(X0,relation_inverse(sk0_56))|~in(sk0_5(X0,empty_set,relation_inverse(sk0_56)),empty_set)|~spl0_281|~spl0_177)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6237,f3480])).
% 3.48/0.76 fof(f6996,plain,(
% 3.48/0.76 ~spl0_232|spl0_435|~spl0_281|~spl0_177),
% 3.48/0.76 inference(split_clause,[status(thm)],[f6995,f3859,f6992,f4411,f3187])).
% 3.48/0.76 fof(f6997,plain,(
% 3.48/0.76 spl0_436 <=> ~relation(X0)|relation_inverse(sk0_56)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse(sk0_56),X0),sk0_5(X1,relation_inverse(sk0_56),X0)),X0)|~in(sk0_5(X1,relation_inverse(sk0_56),X0),empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f7000,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(X0)|~relation(relation_inverse(sk0_56))|relation_inverse(sk0_56)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse(sk0_56),X0),sk0_5(X1,relation_inverse(sk0_56),X0)),X0)|~in(sk0_5(X1,relation_inverse(sk0_56),X0),empty_set)|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6237,f3185])).
% 3.48/0.76 fof(f7001,plain,(
% 3.48/0.76 spl0_436|~spl0_232|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f7000,f6997,f3859,f4411])).
% 3.48/0.76 fof(f7003,plain,(
% 3.48/0.76 spl0_437 <=> ~in(X0,relation_image(relation_inverse(sk0_56),X1))|~in(X0,empty_set)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f7006,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(relation_inverse(sk0_56))|~in(X0,relation_image(relation_inverse(sk0_56),X1))|~in(X0,empty_set)|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6237,f3201])).
% 3.48/0.76 fof(f7007,plain,(
% 3.48/0.76 ~spl0_232|spl0_437|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f7006,f3859,f7003,f4411])).
% 3.48/0.76 fof(f7009,plain,(
% 3.48/0.76 relation_inverse_image(relation_inverse(sk0_56),empty_set)=empty_set|~spl0_281),
% 3.48/0.76 inference(resolution,[status(thm)],[f6237,f301])).
% 3.48/0.76 fof(f7012,plain,(
% 3.48/0.76 spl0_438 <=> relation(relation_inverse_image(relation_inverse(sk0_56),empty_set))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f7014,plain,(
% 3.48/0.76 ~relation(relation_inverse_image(relation_inverse(sk0_56),empty_set))|spl0_438),
% 3.48/0.76 inference(component_clause,[status(thm)],[f7012])).
% 3.48/0.76 fof(f7015,plain,(
% 3.48/0.76 ~relation(relation_inverse_image(relation_inverse(sk0_56),empty_set))|relation_inverse_image(relation_inverse(sk0_56),empty_set)=empty_set|~spl0_281|~spl0_178),
% 3.48/0.76 inference(resolution,[status(thm)],[f6237,f4082])).
% 3.48/0.76 fof(f7016,plain,(
% 3.48/0.76 ~spl0_438|spl0_433|~spl0_281|~spl0_178),
% 3.48/0.76 inference(split_clause,[status(thm)],[f7015,f7012,f6979,f4411,f3203])).
% 3.48/0.76 fof(f7017,plain,(
% 3.48/0.76 spl0_439 <=> ~in(X0,relation_image(relation_inverse_image(relation_inverse(sk0_56),empty_set),X1))),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f7020,plain,(
% 3.48/0.76 ![X0,X1]: (~relation(relation_inverse_image(relation_inverse(sk0_56),empty_set))|~in(X0,relation_image(relation_inverse_image(relation_inverse(sk0_56),empty_set),X1))|~spl0_281)),
% 3.48/0.76 inference(resolution,[status(thm)],[f6237,f892])).
% 3.48/0.76 fof(f7021,plain,(
% 3.48/0.76 ~spl0_438|spl0_439|~spl0_281),
% 3.48/0.76 inference(split_clause,[status(thm)],[f7020,f7012,f7017,f4411])).
% 3.48/0.76 fof(f7022,plain,(
% 3.48/0.76 spl0_440 <=> ~relation(X0)|relation_inverse_image(relation_inverse(sk0_56),empty_set)=relation_rng_restriction(empty_set,X0)),
% 3.48/0.76 introduced(split_symbol_definition)).
% 3.48/0.76 fof(f7025,plain,(
% 3.48/0.76 ![X0]: (~relation(X0)|~relation(relation_inverse_image(relation_inverse(sk0_56),empty_set))|relation_inverse_image(relation_inverse(sk0_56),empty_set)=relation_rng_restriction(empty_set,X0)|~spl0_281|~spl0_178)),
% 3.48/0.77 inference(resolution,[status(thm)],[f6237,f3491])).
% 3.48/0.77 fof(f7026,plain,(
% 3.48/0.77 spl0_440|~spl0_438|~spl0_281|~spl0_178),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7025,f7022,f7012,f4411,f3203])).
% 3.48/0.77 fof(f7027,plain,(
% 3.48/0.77 spl0_441 <=> empty_set=relation_rng_restriction(X0,relation_inverse_image(relation_inverse(sk0_56),empty_set))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7030,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_inverse_image(relation_inverse(sk0_56),empty_set))|empty_set=relation_rng_restriction(X0,relation_inverse_image(relation_inverse(sk0_56),empty_set))|~spl0_281|~spl0_177)),
% 3.48/0.77 inference(resolution,[status(thm)],[f6237,f3188])).
% 3.48/0.77 fof(f7031,plain,(
% 3.48/0.77 ~spl0_438|spl0_441|~spl0_281|~spl0_177),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7030,f7012,f7027,f4411,f3187])).
% 3.48/0.77 fof(f7032,plain,(
% 3.48/0.77 spl0_442 <=> ~relation(X0)|relation_inverse_image(relation_inverse(sk0_56),empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse_image(relation_inverse(sk0_56),empty_set),X0),sk0_5(X1,relation_inverse_image(relation_inverse(sk0_56),empty_set),X0)),X0)),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7035,plain,(
% 3.48/0.77 ![X0,X1]: (~relation(X0)|~relation(relation_inverse_image(relation_inverse(sk0_56),empty_set))|relation_inverse_image(relation_inverse(sk0_56),empty_set)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse_image(relation_inverse(sk0_56),empty_set),X0),sk0_5(X1,relation_inverse_image(relation_inverse(sk0_56),empty_set),X0)),X0)|~spl0_281)),
% 3.48/0.77 inference(resolution,[status(thm)],[f6237,f250])).
% 3.48/0.77 fof(f7036,plain,(
% 3.48/0.77 spl0_442|~spl0_438|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7035,f7032,f7012,f4411])).
% 3.48/0.77 fof(f7037,plain,(
% 3.48/0.77 spl0_443 <=> ~in(X0,relation_inverse_image(relation_inverse_image(relation_inverse(sk0_56),empty_set),X1))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7040,plain,(
% 3.48/0.77 ![X0,X1]: (~relation(relation_inverse_image(relation_inverse(sk0_56),empty_set))|~in(X0,relation_inverse_image(relation_inverse_image(relation_inverse(sk0_56),empty_set),X1))|~spl0_281)),
% 3.48/0.77 inference(resolution,[status(thm)],[f6237,f895])).
% 3.48/0.77 fof(f7041,plain,(
% 3.48/0.77 ~spl0_438|spl0_443|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7040,f7012,f7037,f4411])).
% 3.48/0.77 fof(f7045,plain,(
% 3.48/0.77 spl0_444 <=> ~in(X0,relation_inverse_image(relation_inverse(sk0_56),empty_set))|in(sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_56)),relation_rng(relation_inverse(sk0_56)))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7048,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_inverse(sk0_56))|~in(X0,relation_inverse_image(relation_inverse(sk0_56),empty_set))|in(sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_56)),relation_rng(relation_inverse(sk0_56)))|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f7009,f4406])).
% 3.48/0.77 fof(f7049,plain,(
% 3.48/0.77 ~spl0_232|spl0_444|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7048,f3859,f7045,f4411])).
% 3.48/0.77 fof(f7050,plain,(
% 3.48/0.77 spl0_445 <=> ~in(X0,relation_image(relation_inverse(sk0_56),X1))|in(sk0_6(X0,relation_image(relation_inverse(sk0_56),X1),X1,relation_inverse(sk0_56)),empty_set)|~in(X0,empty_set)),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7053,plain,(
% 3.48/0.77 ![X0,X1]: (~relation(relation_inverse(sk0_56))|~in(X0,relation_image(relation_inverse(sk0_56),X1))|in(sk0_6(X0,relation_image(relation_inverse(sk0_56),X1),X1,relation_inverse(sk0_56)),empty_set)|~in(X0,empty_set)|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f7009,f3201])).
% 3.48/0.77 fof(f7054,plain,(
% 3.48/0.77 ~spl0_232|spl0_445|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7053,f3859,f7050,f4411])).
% 3.48/0.77 fof(f7055,plain,(
% 3.48/0.77 spl0_446 <=> ~in(X0,relation_inverse_image(relation_inverse(sk0_56),empty_set))|in(sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_56)),empty_set)),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7058,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_inverse(sk0_56))|~in(X0,relation_inverse_image(relation_inverse(sk0_56),empty_set))|in(sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_56)),empty_set)|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f7009,f896])).
% 3.48/0.77 fof(f7059,plain,(
% 3.48/0.77 ~spl0_232|spl0_446|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7058,f3859,f7055,f4411])).
% 3.48/0.77 fof(f7060,plain,(
% 3.48/0.77 spl0_447 <=> ~in(X0,relation_inverse_image(relation_inverse(sk0_56),empty_set))|in(ordered_pair(X0,sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_56))),relation_inverse(sk0_56))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7063,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_inverse(sk0_56))|~in(X0,relation_inverse_image(relation_inverse(sk0_56),empty_set))|in(ordered_pair(X0,sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_56))),relation_inverse(sk0_56))|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f7009,f895])).
% 3.48/0.77 fof(f7064,plain,(
% 3.48/0.77 ~spl0_232|spl0_447|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7063,f3859,f7060,f4411])).
% 3.48/0.77 fof(f7065,plain,(
% 3.48/0.77 spl0_448 <=> ~relation(X0)|relation_inverse(sk0_56)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse(sk0_56),X0),sk0_5(X1,relation_inverse(sk0_56),X0)),X0)|in(sk0_4(X1,relation_inverse(sk0_56),X0),empty_set)|~in(sk0_5(X1,relation_inverse(sk0_56),X0),empty_set)),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7068,plain,(
% 3.48/0.77 ![X0,X1]: (~relation(X0)|~relation(relation_inverse(sk0_56))|relation_inverse(sk0_56)=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_4(X1,relation_inverse(sk0_56),X0),sk0_5(X1,relation_inverse(sk0_56),X0)),X0)|in(sk0_4(X1,relation_inverse(sk0_56),X0),empty_set)|~in(sk0_5(X1,relation_inverse(sk0_56),X0),empty_set)|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f7009,f3185])).
% 3.48/0.77 fof(f7069,plain,(
% 3.48/0.77 spl0_448|~spl0_232|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7068,f7065,f3859,f4411])).
% 3.48/0.77 fof(f7070,plain,(
% 3.48/0.77 spl0_449 <=> empty_set=relation_rng_restriction(X0,relation_inverse(sk0_56))|in(sk0_4(X0,empty_set,relation_inverse(sk0_56)),empty_set)|~in(sk0_5(X0,empty_set,relation_inverse(sk0_56)),empty_set)),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7073,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_inverse(sk0_56))|empty_set=relation_rng_restriction(X0,relation_inverse(sk0_56))|in(sk0_4(X0,empty_set,relation_inverse(sk0_56)),empty_set)|~in(sk0_5(X0,empty_set,relation_inverse(sk0_56)),empty_set)|~spl0_177|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f7009,f3480])).
% 3.48/0.77 fof(f7074,plain,(
% 3.48/0.77 ~spl0_232|spl0_449|~spl0_177|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7073,f3859,f7070,f3187,f4411])).
% 3.48/0.77 fof(f7079,plain,(
% 3.48/0.77 ~relation(empty_set)|~spl0_281|spl0_438),
% 3.48/0.77 inference(forward_demodulation,[status(thm)],[f7009,f7014])).
% 3.48/0.77 fof(f7080,plain,(
% 3.48/0.77 $false|~spl0_281|spl0_438),
% 3.48/0.77 inference(forward_subsumption_resolution,[status(thm)],[f7079,f491])).
% 3.48/0.77 fof(f7081,plain,(
% 3.48/0.77 ~spl0_281|spl0_438),
% 3.48/0.77 inference(contradiction_clause,[status(thm)],[f7080])).
% 3.48/0.77 fof(f7100,plain,(
% 3.48/0.77 ![X0,X1,X2]: (~relation(X0)|empty_set=relation_image(X0,X1)|in(ordered_pair(sk0_8(relation_inverse_image(empty_set,X2),X1,X0),sk0_7(relation_inverse_image(empty_set,X2),X1,X0)),X0)|~spl0_281)),
% 3.48/0.77 inference(forward_demodulation,[status(thm)],[f4572,f4570])).
% 3.48/0.77 fof(f7101,plain,(
% 3.48/0.77 ![X0,X1,X2]: (~relation(X0)|empty_set=relation_image(X0,X1)|in(ordered_pair(sk0_8(empty_set,X1,X0),sk0_7(relation_inverse_image(empty_set,X2),X1,X0)),X0)|~spl0_281)),
% 3.48/0.77 inference(forward_demodulation,[status(thm)],[f4572,f7100])).
% 3.48/0.77 fof(f7102,plain,(
% 3.48/0.77 ![X0,X1]: (~relation(X0)|empty_set=relation_image(X0,X1)|in(ordered_pair(sk0_8(empty_set,X1,X0),sk0_7(empty_set,X1,X0)),X0)|~spl0_281)),
% 3.48/0.77 inference(forward_demodulation,[status(thm)],[f4572,f7101])).
% 3.48/0.77 fof(f7103,plain,(
% 3.48/0.77 spl0_450 <=> empty_set=relation_image(sk0_61,X0)|in(sk0_7(empty_set,X0,sk0_61),relation_image(sk0_61,X1))|~in(sk0_8(empty_set,X0,sk0_61),X1)),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7106,plain,(
% 3.48/0.77 ![X0,X1]: (~relation(sk0_61)|empty_set=relation_image(sk0_61,X0)|in(sk0_7(empty_set,X0,sk0_61),relation_image(sk0_61,X1))|~in(sk0_8(empty_set,X0,sk0_61),X1)|~spl0_281)),
% 3.48/0.77 inference(resolution,[status(thm)],[f7102,f4901])).
% 3.48/0.77 fof(f7107,plain,(
% 3.48/0.77 ~spl0_58|spl0_450|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7106,f1304,f7103,f4411])).
% 3.48/0.77 fof(f7119,plain,(
% 3.48/0.77 spl0_451 <=> empty_set=relation_image(empty_set,X0)),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7122,plain,(
% 3.48/0.77 ![X0]: (~relation(empty_set)|empty_set=relation_image(empty_set,X0)|~spl0_281)),
% 3.48/0.77 inference(resolution,[status(thm)],[f7102,f905])).
% 3.48/0.77 fof(f7123,plain,(
% 3.48/0.77 ~spl0_6|spl0_451|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7122,f945,f7119,f4411])).
% 3.48/0.77 fof(f7131,plain,(
% 3.48/0.77 spl0_452 <=> ~relation(relation_rng_restriction(X0,sk0_61))|subset(relation_rng(set_difference(relation_rng_restriction(X0,sk0_61),sk0_61)),relation_rng(relation_rng_restriction(X0,sk0_61)))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7134,plain,(
% 3.48/0.77 ![X0]: (~relation(empty_set)|~relation(relation_rng_restriction(X0,sk0_61))|subset(relation_rng(set_difference(relation_rng_restriction(X0,sk0_61),sk0_61)),relation_rng(relation_rng_restriction(X0,sk0_61))))),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f6580,f1961])).
% 3.48/0.77 fof(f7135,plain,(
% 3.48/0.77 ~spl0_6|spl0_452),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7134,f945,f7131])).
% 3.48/0.77 fof(f7162,plain,(
% 3.48/0.77 spl0_455 <=> subset(relation_rng(sk0_61),relation_rng(set_union2(relation_rng_restriction(X0,sk0_61),sk0_61)))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7165,plain,(
% 3.48/0.77 ![X0]: (~relation(sk0_61)|~relation(sk0_61)|subset(relation_rng(sk0_61),relation_rng(set_union2(relation_rng_restriction(X0,sk0_61),sk0_61))))),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f6585,f2725])).
% 3.48/0.77 fof(f7166,plain,(
% 3.48/0.77 ~spl0_58|spl0_455),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7165,f1304,f7162])).
% 3.48/0.77 fof(f7167,plain,(
% 3.48/0.77 spl0_456 <=> ~relation(relation_rng_restriction(X0,sk0_61))|subset(relation_rng(relation_rng_restriction(X0,sk0_61)),relation_rng(set_union2(sk0_61,relation_rng_restriction(X0,sk0_61))))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7170,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_rng_restriction(X0,sk0_61))|~relation(sk0_61)|subset(relation_rng(relation_rng_restriction(X0,sk0_61)),relation_rng(set_union2(sk0_61,relation_rng_restriction(X0,sk0_61)))))),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f6585,f2297])).
% 3.48/0.77 fof(f7171,plain,(
% 3.48/0.77 spl0_456|~spl0_58),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7170,f7167,f1304])).
% 3.48/0.77 fof(f7184,plain,(
% 3.48/0.77 ![X0]: (set_difference(relation_rng_restriction(X0,relation_inverse(sk0_61)),relation_inverse(sk0_61))=empty_set)),
% 3.48/0.77 inference(resolution,[status(thm)],[f6570,f533])).
% 3.48/0.77 fof(f7188,plain,(
% 3.48/0.77 ![X0]: (set_union2(relation_rng_restriction(X0,relation_inverse(sk0_61)),relation_inverse(sk0_61))=relation_inverse(sk0_61))),
% 3.48/0.77 inference(resolution,[status(thm)],[f6570,f615])).
% 3.48/0.77 fof(f7189,plain,(
% 3.48/0.77 ![X0]: (set_union2(relation_inverse(sk0_61),relation_rng_restriction(X0,relation_inverse(sk0_61)))=relation_inverse(sk0_61))),
% 3.48/0.77 inference(forward_demodulation,[status(thm)],[f214,f7188])).
% 3.48/0.77 fof(f7191,plain,(
% 3.48/0.77 spl0_457 <=> ~relation(relation_rng_restriction(X0,relation_inverse(sk0_61)))|subset(relation_rng(relation_rng_restriction(X0,relation_inverse(sk0_61))),relation_rng(relation_inverse(sk0_61)))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7194,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_rng_restriction(X0,relation_inverse(sk0_61)))|~relation(relation_inverse(sk0_61))|subset(relation_rng(relation_rng_restriction(X0,relation_inverse(sk0_61))),relation_rng(relation_inverse(sk0_61))))),
% 3.48/0.77 inference(resolution,[status(thm)],[f6570,f671])).
% 3.48/0.77 fof(f7195,plain,(
% 3.48/0.77 spl0_457|~spl0_164),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7194,f7191,f2912])).
% 3.48/0.77 fof(f7207,plain,(
% 3.48/0.77 spl0_458 <=> ~relation(relation_rng_restriction(X0,sk0_61))|subset(relation_rng(set_intersection2(relation_rng_restriction(X0,sk0_61),sk0_61)),relation_rng(sk0_61))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7210,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_rng_restriction(X0,sk0_61))|~relation(sk0_61)|subset(relation_rng(set_intersection2(relation_rng_restriction(X0,sk0_61),sk0_61)),relation_rng(sk0_61)))),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f6583,f2649])).
% 3.48/0.77 fof(f7211,plain,(
% 3.48/0.77 spl0_458|~spl0_58),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7210,f7207,f1304])).
% 3.48/0.77 fof(f7224,plain,(
% 3.48/0.77 spl0_459 <=> ~relation(relation_rng_restriction(X0,relation_inverse(sk0_61)))|subset(relation_rng(set_difference(relation_rng_restriction(X0,relation_inverse(sk0_61)),relation_inverse(sk0_61))),relation_rng(relation_rng_restriction(X0,relation_inverse(sk0_61))))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7227,plain,(
% 3.48/0.77 ![X0]: (~relation(empty_set)|~relation(relation_rng_restriction(X0,relation_inverse(sk0_61)))|subset(relation_rng(set_difference(relation_rng_restriction(X0,relation_inverse(sk0_61)),relation_inverse(sk0_61))),relation_rng(relation_rng_restriction(X0,relation_inverse(sk0_61)))))),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f7184,f1961])).
% 3.48/0.77 fof(f7228,plain,(
% 3.48/0.77 ~spl0_6|spl0_459),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7227,f945,f7224])).
% 3.48/0.77 fof(f7251,plain,(
% 3.48/0.77 spl0_460 <=> ~in(X0,relation_inverse_image(relation_inverse(sk0_56),empty_set))|~in(relation_inverse(sk0_56),ordered_pair(X0,sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_56))))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7254,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_inverse(sk0_56))|~in(X0,relation_inverse_image(relation_inverse(sk0_56),empty_set))|~in(relation_inverse(sk0_56),ordered_pair(X0,sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_56))))|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f7009,f4417])).
% 3.48/0.77 fof(f7255,plain,(
% 3.48/0.77 ~spl0_232|spl0_460|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7254,f3859,f7251,f4411])).
% 3.48/0.77 fof(f7256,plain,(
% 3.48/0.77 spl0_461 <=> ~in(X0,relation_inverse_image(relation_inverse(empty_set),empty_set))|~in(relation_inverse(empty_set),ordered_pair(X0,sk0_9(X0,empty_set,empty_set,relation_inverse(empty_set))))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7259,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_inverse(empty_set))|~in(X0,relation_inverse_image(relation_inverse(empty_set),empty_set))|~in(relation_inverse(empty_set),ordered_pair(X0,sk0_9(X0,empty_set,empty_set,relation_inverse(empty_set))))|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f6895,f4417])).
% 3.48/0.77 fof(f7260,plain,(
% 3.48/0.77 ~spl0_231|spl0_461|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7259,f3854,f7256,f4411])).
% 3.48/0.77 fof(f7261,plain,(
% 3.48/0.77 spl0_462 <=> ~in(X0,relation_inverse_image(relation_inverse(sk0_61),empty_set))|~in(relation_inverse(sk0_61),ordered_pair(X0,sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_61))))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7264,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_inverse(sk0_61))|~in(X0,relation_inverse_image(relation_inverse(sk0_61),empty_set))|~in(relation_inverse(sk0_61),ordered_pair(X0,sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_61))))|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f6715,f4417])).
% 3.48/0.77 fof(f7265,plain,(
% 3.48/0.77 ~spl0_164|spl0_462|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7264,f2912,f7261,f4411])).
% 3.48/0.77 fof(f7266,plain,(
% 3.48/0.77 spl0_463 <=> ~in(X0,relation_inverse_image(sk0_56,empty_set))|~in(sk0_56,ordered_pair(X0,sk0_9(X0,empty_set,empty_set,sk0_56)))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7269,plain,(
% 3.48/0.77 ![X0]: (~relation(sk0_56)|~in(X0,relation_inverse_image(sk0_56,empty_set))|~in(sk0_56,ordered_pair(X0,sk0_9(X0,empty_set,empty_set,sk0_56)))|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f6398,f4417])).
% 3.48/0.77 fof(f7270,plain,(
% 3.48/0.77 ~spl0_83|spl0_463|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7269,f2146,f7266,f4411])).
% 3.48/0.77 fof(f7271,plain,(
% 3.48/0.77 spl0_464 <=> ~in(X0,relation_inverse_image(sk0_61,empty_set))|~in(sk0_61,ordered_pair(X0,sk0_9(X0,empty_set,empty_set,sk0_61)))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7274,plain,(
% 3.48/0.77 ![X0]: (~relation(sk0_61)|~in(X0,relation_inverse_image(sk0_61,empty_set))|~in(sk0_61,ordered_pair(X0,sk0_9(X0,empty_set,empty_set,sk0_61)))|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f6276,f4417])).
% 3.48/0.77 fof(f7275,plain,(
% 3.48/0.77 ~spl0_58|spl0_464|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7274,f1304,f7271,f4411])).
% 3.48/0.77 fof(f7276,plain,(
% 3.48/0.77 spl0_465 <=> ~in(X0,relation_inverse_image(empty_set,X1))|~in(empty_set,ordered_pair(X0,sk0_9(X0,empty_set,X1,empty_set)))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7279,plain,(
% 3.48/0.77 ![X0,X1]: (~relation(empty_set)|~in(X0,relation_inverse_image(empty_set,X1))|~in(empty_set,ordered_pair(X0,sk0_9(X0,empty_set,X1,empty_set)))|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f4572,f4417])).
% 3.48/0.77 fof(f7280,plain,(
% 3.48/0.77 ~spl0_6|spl0_465|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7279,f945,f7276,f4411])).
% 3.48/0.77 fof(f7295,plain,(
% 3.48/0.77 spl0_466 <=> relation_dom_restriction(empty_set,X0)=empty_set),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7296,plain,(
% 3.48/0.77 ![X0]: (relation_dom_restriction(empty_set,X0)=empty_set|~spl0_466)),
% 3.48/0.77 inference(component_clause,[status(thm)],[f7295])).
% 3.48/0.77 fof(f7298,plain,(
% 3.48/0.77 ![X0]: (~relation(empty_set)|relation_dom_restriction(empty_set,X0)=empty_set)),
% 3.48/0.77 inference(resolution,[status(thm)],[f824,f731])).
% 3.48/0.77 fof(f7299,plain,(
% 3.48/0.77 ~spl0_6|spl0_466),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7298,f945,f7295])).
% 3.48/0.77 fof(f7307,plain,(
% 3.48/0.77 ![X0,X1]: (~relation(X0)|~relation(relation_dom_restriction(X0,X1))|~relation(X0)|subset(relation_rng(relation_dom_restriction(X0,X1)),relation_rng(X0)))),
% 3.48/0.77 inference(resolution,[status(thm)],[f824,f671])).
% 3.48/0.77 fof(f7308,plain,(
% 3.48/0.77 ![X0,X1]: (~relation(X0)|~relation(relation_dom_restriction(X0,X1))|subset(relation_rng(relation_dom_restriction(X0,X1)),relation_rng(X0)))),
% 3.48/0.77 inference(duplicate_literals_removal,[status(esa)],[f7307])).
% 3.48/0.77 fof(f7309,plain,(
% 3.48/0.77 ![X0,X1]: (~relation(X0)|subset(relation_rng(relation_dom_restriction(X0,X1)),relation_rng(X0)))),
% 3.48/0.77 inference(forward_subsumption_resolution,[status(thm)],[f7308,f464])).
% 3.48/0.77 fof(f7350,plain,(
% 3.48/0.77 spl0_468 <=> ~relation(sk0_51(powerset(X0)))|subset(relation_rng(set_difference(sk0_51(powerset(X0)),X0)),relation_rng(sk0_51(powerset(X0))))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7353,plain,(
% 3.48/0.77 ![X0]: (~relation(empty_set)|~relation(sk0_51(powerset(X0)))|subset(relation_rng(set_difference(sk0_51(powerset(X0)),X0)),relation_rng(sk0_51(powerset(X0)))))),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f6614,f1961])).
% 3.48/0.77 fof(f7354,plain,(
% 3.48/0.77 ~spl0_6|spl0_468),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7353,f945,f7350])).
% 3.48/0.77 fof(f7379,plain,(
% 3.48/0.77 spl0_469 <=> ~relation(X0)|X0=relation_rng(sk0_61)|~in(ordered_pair(sk0_21(relation_rng(sk0_61),X0),sk0_22(relation_rng(sk0_61),X0)),X0)|~in(ordered_pair(sk0_21(relation_rng(sk0_61),X0),sk0_22(relation_rng(sk0_61),X0)),relation_image(sk0_61,X1))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7382,plain,(
% 3.48/0.77 ![X0,X1]: (~relation(X0)|~relation(relation_rng(sk0_61))|X0=relation_rng(sk0_61)|~in(ordered_pair(sk0_21(relation_rng(sk0_61),X0),sk0_22(relation_rng(sk0_61),X0)),X0)|~in(ordered_pair(sk0_21(relation_rng(sk0_61),X0),sk0_22(relation_rng(sk0_61),X0)),relation_image(sk0_61,X1)))),
% 3.48/0.77 inference(resolution,[status(thm)],[f315,f3543])).
% 3.48/0.77 fof(f7383,plain,(
% 3.48/0.77 spl0_469|~spl0_264),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7382,f7379,f4148])).
% 3.48/0.77 fof(f7384,plain,(
% 3.48/0.77 spl0_470 <=> ~relation(X0)|X0=relation_rng(sk0_56)|~in(ordered_pair(sk0_21(relation_rng(sk0_56),X0),sk0_22(relation_rng(sk0_56),X0)),X0)|~in(ordered_pair(sk0_21(relation_rng(sk0_56),X0),sk0_22(relation_rng(sk0_56),X0)),relation_image(sk0_56,X1))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7387,plain,(
% 3.48/0.77 ![X0,X1]: (~relation(X0)|~relation(relation_rng(sk0_56))|X0=relation_rng(sk0_56)|~in(ordered_pair(sk0_21(relation_rng(sk0_56),X0),sk0_22(relation_rng(sk0_56),X0)),X0)|~in(ordered_pair(sk0_21(relation_rng(sk0_56),X0),sk0_22(relation_rng(sk0_56),X0)),relation_image(sk0_56,X1)))),
% 3.48/0.77 inference(resolution,[status(thm)],[f315,f3540])).
% 3.48/0.77 fof(f7388,plain,(
% 3.48/0.77 spl0_470|~spl0_211),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7387,f7384,f3571])).
% 3.48/0.77 fof(f7401,plain,(
% 3.48/0.77 spl0_472 <=> subset(relation_rng(relation_rng_restriction(X0,sk0_61)),relation_rng(sk0_61))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7402,plain,(
% 3.48/0.77 ![X0]: (subset(relation_rng(relation_rng_restriction(X0,sk0_61)),relation_rng(sk0_61))|~spl0_472)),
% 3.48/0.77 inference(component_clause,[status(thm)],[f7401])).
% 3.48/0.77 fof(f7404,plain,(
% 3.48/0.77 ![X0]: (subset(relation_rng(relation_rng_restriction(X0,sk0_61)),relation_rng(sk0_61))|~relation(sk0_61)|~spl0_396)),
% 3.48/0.77 inference(resolution,[status(thm)],[f6588,f469])).
% 3.48/0.77 fof(f7405,plain,(
% 3.48/0.77 spl0_472|~spl0_58|~spl0_396),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7404,f7401,f1304,f6587])).
% 3.48/0.77 fof(f7407,plain,(
% 3.48/0.77 spl0_473 <=> subset(relation_rng(relation_rng_restriction(empty_set,sk0_61)),relation_rng(sk0_61))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7410,plain,(
% 3.48/0.77 ~relation(empty_set)|subset(relation_rng(relation_rng_restriction(empty_set,sk0_61)),relation_rng(sk0_61))|~spl0_396|~spl0_178|~spl0_225),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f3841,f6588])).
% 3.48/0.77 fof(f7411,plain,(
% 3.48/0.77 ~spl0_6|spl0_473|~spl0_396|~spl0_178|~spl0_225),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7410,f945,f7407,f6587,f3203,f3781])).
% 3.48/0.77 fof(f7427,plain,(
% 3.48/0.77 spl0_474 <=> ~relation(relation_rng(relation_rng_restriction(X0,sk0_61)))|subset(relation_rng(relation_rng(relation_rng_restriction(X0,sk0_61))),relation_rng(relation_rng(sk0_61)))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7430,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_rng(relation_rng_restriction(X0,sk0_61)))|~relation(relation_rng(sk0_61))|subset(relation_rng(relation_rng(relation_rng_restriction(X0,sk0_61))),relation_rng(relation_rng(sk0_61)))|~spl0_472)),
% 3.48/0.77 inference(resolution,[status(thm)],[f7402,f671])).
% 3.48/0.77 fof(f7431,plain,(
% 3.48/0.77 spl0_474|~spl0_264|~spl0_472),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7430,f7427,f4148,f7401])).
% 3.48/0.77 fof(f7451,plain,(
% 3.48/0.77 spl0_475 <=> ~in(X0,singleton(empty_set))|~relation(X0)|~relation(relation_rng(X0))|subset(relation_rng(relation_rng(X0)),relation_rng(empty_set))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7454,plain,(
% 3.48/0.77 ![X0]: (~in(X0,singleton(empty_set))|~relation(X0)|~relation(relation_rng(X0))|~relation(empty_set)|subset(relation_rng(relation_rng(X0)),relation_rng(empty_set))|~spl0_342)),
% 3.48/0.77 inference(resolution,[status(thm)],[f5889,f671])).
% 3.48/0.77 fof(f7455,plain,(
% 3.48/0.77 spl0_475|~spl0_6|~spl0_342),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7454,f7451,f945,f5884])).
% 3.48/0.77 fof(f7458,plain,(
% 3.48/0.77 spl0_476 <=> in(empty_set,singleton(empty_set))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7460,plain,(
% 3.48/0.77 ~in(empty_set,singleton(empty_set))|spl0_476),
% 3.48/0.77 inference(component_clause,[status(thm)],[f7458])).
% 3.48/0.77 fof(f7461,plain,(
% 3.48/0.77 spl0_477 <=> subset(empty_set,empty_set)),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7464,plain,(
% 3.48/0.77 ~in(empty_set,singleton(empty_set))|~relation(empty_set)|subset(empty_set,empty_set)|~spl0_342),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f777,f5889])).
% 3.48/0.77 fof(f7465,plain,(
% 3.48/0.77 ~spl0_476|~spl0_6|spl0_477|~spl0_342),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7464,f7458,f945,f7461,f5884])).
% 3.48/0.77 fof(f7466,plain,(
% 3.48/0.77 $false|spl0_476),
% 3.48/0.77 inference(forward_subsumption_resolution,[status(thm)],[f7460,f904])).
% 3.48/0.77 fof(f7467,plain,(
% 3.48/0.77 spl0_476),
% 3.48/0.77 inference(contradiction_clause,[status(thm)],[f7466])).
% 3.48/0.77 fof(f7469,plain,(
% 3.48/0.77 spl0_478 <=> subset(relation_rng(relation_rng_restriction(X0,sk0_56)),relation_rng(sk0_56))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7470,plain,(
% 3.48/0.77 ![X0]: (subset(relation_rng(relation_rng_restriction(X0,sk0_56)),relation_rng(sk0_56))|~spl0_478)),
% 3.48/0.77 inference(component_clause,[status(thm)],[f7469])).
% 3.48/0.77 fof(f7472,plain,(
% 3.48/0.77 ![X0]: (subset(relation_rng(relation_rng_restriction(X0,sk0_56)),relation_rng(sk0_56))|~relation(sk0_56)|~spl0_397)),
% 3.48/0.77 inference(resolution,[status(thm)],[f6601,f469])).
% 3.48/0.77 fof(f7473,plain,(
% 3.48/0.77 spl0_478|~spl0_83|~spl0_397),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7472,f7469,f2146,f6600])).
% 3.48/0.77 fof(f7475,plain,(
% 3.48/0.77 spl0_479 <=> subset(relation_rng(relation_rng_restriction(empty_set,sk0_56)),relation_rng(sk0_56))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7478,plain,(
% 3.48/0.77 ~relation(empty_set)|subset(relation_rng(relation_rng_restriction(empty_set,sk0_56)),relation_rng(sk0_56))|~spl0_397|~spl0_178|~spl0_225),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f3839,f6601])).
% 3.48/0.77 fof(f7479,plain,(
% 3.48/0.77 ~spl0_6|spl0_479|~spl0_397|~spl0_178|~spl0_225),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7478,f945,f7475,f6600,f3203,f3781])).
% 3.48/0.77 fof(f7556,plain,(
% 3.48/0.77 spl0_481 <=> ~relation(relation_rng(relation_rng_restriction(X0,sk0_56)))|subset(relation_rng(relation_rng(relation_rng_restriction(X0,sk0_56))),relation_rng(relation_rng(sk0_56)))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7559,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_rng(relation_rng_restriction(X0,sk0_56)))|~relation(relation_rng(sk0_56))|subset(relation_rng(relation_rng(relation_rng_restriction(X0,sk0_56))),relation_rng(relation_rng(sk0_56)))|~spl0_478)),
% 3.48/0.77 inference(resolution,[status(thm)],[f7470,f671])).
% 3.48/0.77 fof(f7560,plain,(
% 3.48/0.77 spl0_481|~spl0_211|~spl0_478),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7559,f7556,f3571,f7469])).
% 3.48/0.77 fof(f7668,plain,(
% 3.48/0.77 spl0_486 <=> subset(relation_rng(relation_inverse(sk0_61)),relation_rng(set_union2(relation_rng_restriction(X0,relation_inverse(sk0_61)),relation_inverse(sk0_61))))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7671,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_inverse(sk0_61))|~relation(relation_inverse(sk0_61))|subset(relation_rng(relation_inverse(sk0_61)),relation_rng(set_union2(relation_rng_restriction(X0,relation_inverse(sk0_61)),relation_inverse(sk0_61)))))),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f7189,f2725])).
% 3.48/0.77 fof(f7672,plain,(
% 3.48/0.77 ~spl0_164|spl0_486),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7671,f2912,f7668])).
% 3.48/0.77 fof(f7673,plain,(
% 3.48/0.77 spl0_487 <=> ~relation(relation_rng_restriction(X0,relation_inverse(sk0_61)))|subset(relation_rng(relation_rng_restriction(X0,relation_inverse(sk0_61))),relation_rng(set_union2(relation_inverse(sk0_61),relation_rng_restriction(X0,relation_inverse(sk0_61)))))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7676,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_rng_restriction(X0,relation_inverse(sk0_61)))|~relation(relation_inverse(sk0_61))|subset(relation_rng(relation_rng_restriction(X0,relation_inverse(sk0_61))),relation_rng(set_union2(relation_inverse(sk0_61),relation_rng_restriction(X0,relation_inverse(sk0_61))))))),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f7189,f2297])).
% 3.48/0.77 fof(f7677,plain,(
% 3.48/0.77 spl0_487|~spl0_164),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7676,f7673,f2912])).
% 3.48/0.77 fof(f7717,plain,(
% 3.48/0.77 spl0_493 <=> ordered_pair(sk0_8(empty_set,X0,sk0_61),sk0_7(empty_set,X0,sk0_61))=ordered_pair(sk0_12(ordered_pair(sk0_8(empty_set,X0,sk0_61),sk0_7(empty_set,X0,sk0_61)),sk0_61),sk0_13(ordered_pair(sk0_8(empty_set,X0,sk0_61),sk0_7(empty_set,X0,sk0_61)),sk0_61))|empty_set=relation_image(sk0_61,X0)),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7720,plain,(
% 3.48/0.77 ![X0]: (ordered_pair(sk0_8(empty_set,X0,sk0_61),sk0_7(empty_set,X0,sk0_61))=ordered_pair(sk0_12(ordered_pair(sk0_8(empty_set,X0,sk0_61),sk0_7(empty_set,X0,sk0_61)),sk0_61),sk0_13(ordered_pair(sk0_8(empty_set,X0,sk0_61),sk0_7(empty_set,X0,sk0_61)),sk0_61))|~relation(sk0_61)|empty_set=relation_image(sk0_61,X0)|~spl0_281)),
% 3.48/0.77 inference(resolution,[status(thm)],[f5451,f7102])).
% 3.48/0.77 fof(f7721,plain,(
% 3.48/0.77 spl0_493|~spl0_58|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7720,f7717,f1304,f4411])).
% 3.48/0.77 fof(f7729,plain,(
% 3.48/0.77 spl0_495 <=> ordered_pair(sk0_6(X0,relation_image(sk0_61,X1),X1,sk0_61),X0)=ordered_pair(sk0_12(ordered_pair(sk0_6(X0,relation_image(sk0_61,X1),X1,sk0_61),X0),sk0_61),sk0_13(ordered_pair(sk0_6(X0,relation_image(sk0_61,X1),X1,sk0_61),X0),sk0_61))|~in(X0,relation_image(sk0_61,X1))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7732,plain,(
% 3.48/0.77 ![X0,X1]: (ordered_pair(sk0_6(X0,relation_image(sk0_61,X1),X1,sk0_61),X0)=ordered_pair(sk0_12(ordered_pair(sk0_6(X0,relation_image(sk0_61,X1),X1,sk0_61),X0),sk0_61),sk0_13(ordered_pair(sk0_6(X0,relation_image(sk0_61,X1),X1,sk0_61),X0),sk0_61))|~relation(sk0_61)|~in(X0,relation_image(sk0_61,X1)))),
% 3.48/0.77 inference(resolution,[status(thm)],[f5451,f892])).
% 3.48/0.77 fof(f7733,plain,(
% 3.48/0.77 spl0_495|~spl0_58),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7732,f7729,f1304])).
% 3.48/0.77 fof(f7734,plain,(
% 3.48/0.77 spl0_496 <=> ordered_pair(sk0_4(empty_set,sk0_61,X0),sk0_5(empty_set,sk0_61,X0))=ordered_pair(sk0_12(ordered_pair(sk0_4(empty_set,sk0_61,X0),sk0_5(empty_set,sk0_61,X0)),sk0_61),sk0_13(ordered_pair(sk0_4(empty_set,sk0_61,X0),sk0_5(empty_set,sk0_61,X0)),sk0_61))|~relation(X0)|sk0_61=relation_rng_restriction(empty_set,X0)),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7737,plain,(
% 3.48/0.77 ![X0]: (ordered_pair(sk0_4(empty_set,sk0_61,X0),sk0_5(empty_set,sk0_61,X0))=ordered_pair(sk0_12(ordered_pair(sk0_4(empty_set,sk0_61,X0),sk0_5(empty_set,sk0_61,X0)),sk0_61),sk0_13(ordered_pair(sk0_4(empty_set,sk0_61,X0),sk0_5(empty_set,sk0_61,X0)),sk0_61))|~relation(X0)|~relation(sk0_61)|sk0_61=relation_rng_restriction(empty_set,X0)|~spl0_178)),
% 3.48/0.77 inference(resolution,[status(thm)],[f5451,f3491])).
% 3.48/0.77 fof(f7738,plain,(
% 3.48/0.77 spl0_496|~spl0_58|~spl0_178),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7737,f7734,f1304,f3203])).
% 3.48/0.77 fof(f7739,plain,(
% 3.48/0.77 spl0_497 <=> ordered_pair(sk0_4(X0,empty_set,sk0_61),sk0_5(X0,empty_set,sk0_61))=ordered_pair(sk0_12(ordered_pair(sk0_4(X0,empty_set,sk0_61),sk0_5(X0,empty_set,sk0_61)),sk0_61),sk0_13(ordered_pair(sk0_4(X0,empty_set,sk0_61),sk0_5(X0,empty_set,sk0_61)),sk0_61))|empty_set=relation_rng_restriction(X0,sk0_61)),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7742,plain,(
% 3.48/0.77 ![X0]: (ordered_pair(sk0_4(X0,empty_set,sk0_61),sk0_5(X0,empty_set,sk0_61))=ordered_pair(sk0_12(ordered_pair(sk0_4(X0,empty_set,sk0_61),sk0_5(X0,empty_set,sk0_61)),sk0_61),sk0_13(ordered_pair(sk0_4(X0,empty_set,sk0_61),sk0_5(X0,empty_set,sk0_61)),sk0_61))|~relation(sk0_61)|empty_set=relation_rng_restriction(X0,sk0_61)|~spl0_177)),
% 3.48/0.77 inference(resolution,[status(thm)],[f5451,f3188])).
% 3.48/0.77 fof(f7743,plain,(
% 3.48/0.77 spl0_497|~spl0_58|~spl0_177),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7742,f7739,f1304,f3187])).
% 3.48/0.77 fof(f7744,plain,(
% 3.48/0.77 spl0_498 <=> ordered_pair(sk0_4(X0,sk0_61,X1),sk0_5(X0,sk0_61,X1))=ordered_pair(sk0_12(ordered_pair(sk0_4(X0,sk0_61,X1),sk0_5(X0,sk0_61,X1)),sk0_61),sk0_13(ordered_pair(sk0_4(X0,sk0_61,X1),sk0_5(X0,sk0_61,X1)),sk0_61))|~relation(X1)|sk0_61=relation_rng_restriction(X0,X1)|in(ordered_pair(sk0_4(X0,sk0_61,X1),sk0_5(X0,sk0_61,X1)),X1)),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7747,plain,(
% 3.48/0.77 ![X0,X1]: (ordered_pair(sk0_4(X0,sk0_61,X1),sk0_5(X0,sk0_61,X1))=ordered_pair(sk0_12(ordered_pair(sk0_4(X0,sk0_61,X1),sk0_5(X0,sk0_61,X1)),sk0_61),sk0_13(ordered_pair(sk0_4(X0,sk0_61,X1),sk0_5(X0,sk0_61,X1)),sk0_61))|~relation(X1)|~relation(sk0_61)|sk0_61=relation_rng_restriction(X0,X1)|in(ordered_pair(sk0_4(X0,sk0_61,X1),sk0_5(X0,sk0_61,X1)),X1))),
% 3.48/0.77 inference(resolution,[status(thm)],[f5451,f250])).
% 3.48/0.77 fof(f7748,plain,(
% 3.48/0.77 spl0_498|~spl0_58),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7747,f7744,f1304])).
% 3.48/0.77 fof(f7749,plain,(
% 3.48/0.77 spl0_499 <=> ordered_pair(X0,sk0_9(X0,relation_inverse_image(sk0_61,X1),X1,sk0_61))=ordered_pair(sk0_12(ordered_pair(X0,sk0_9(X0,relation_inverse_image(sk0_61,X1),X1,sk0_61)),sk0_61),sk0_13(ordered_pair(X0,sk0_9(X0,relation_inverse_image(sk0_61,X1),X1,sk0_61)),sk0_61))|~in(X0,relation_inverse_image(sk0_61,X1))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7752,plain,(
% 3.48/0.77 ![X0,X1]: (ordered_pair(X0,sk0_9(X0,relation_inverse_image(sk0_61,X1),X1,sk0_61))=ordered_pair(sk0_12(ordered_pair(X0,sk0_9(X0,relation_inverse_image(sk0_61,X1),X1,sk0_61)),sk0_61),sk0_13(ordered_pair(X0,sk0_9(X0,relation_inverse_image(sk0_61,X1),X1,sk0_61)),sk0_61))|~relation(sk0_61)|~in(X0,relation_inverse_image(sk0_61,X1)))),
% 3.48/0.77 inference(resolution,[status(thm)],[f5451,f895])).
% 3.48/0.77 fof(f7753,plain,(
% 3.48/0.77 spl0_499|~spl0_58),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7752,f7749,f1304])).
% 3.48/0.77 fof(f7768,plain,(
% 3.48/0.77 spl0_501 <=> subset(relation_rng(empty_set),relation_rng(empty_set))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7771,plain,(
% 3.48/0.77 ~relation(empty_set)|subset(relation_rng(empty_set),relation_rng(empty_set))|~spl0_466),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f7296,f7309])).
% 3.48/0.77 fof(f7772,plain,(
% 3.48/0.77 ~spl0_6|spl0_501|~spl0_466),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7771,f945,f7768,f7295])).
% 3.48/0.77 fof(f7773,plain,(
% 3.48/0.77 ![X0,X1]: (~relation(identity_relation(X0))|subset(relation_rng(relation_dom_restriction(identity_relation(X0),X1)),X0))),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f801,f7309])).
% 3.48/0.77 fof(f7774,plain,(
% 3.48/0.77 ![X0,X1]: (subset(relation_rng(relation_dom_restriction(identity_relation(X0),X1)),X0))),
% 3.48/0.77 inference(forward_subsumption_resolution,[status(thm)],[f7773,f457])).
% 3.48/0.77 fof(f7775,plain,(
% 3.48/0.77 spl0_502 <=> subset(relation_rng(relation_dom_restriction(empty_set,X0)),empty_set)),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7778,plain,(
% 3.48/0.77 ![X0]: (~relation(empty_set)|subset(relation_rng(relation_dom_restriction(empty_set,X0)),empty_set))),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f777,f7309])).
% 3.48/0.77 fof(f7779,plain,(
% 3.48/0.77 ~spl0_6|spl0_502),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7778,f945,f7775])).
% 3.48/0.77 fof(f7787,plain,(
% 3.48/0.77 ![X0,X1]: (set_difference(relation_rng(relation_dom_restriction(identity_relation(X0),X1)),X0)=empty_set)),
% 3.48/0.77 inference(resolution,[status(thm)],[f7774,f533])).
% 3.48/0.77 fof(f7791,plain,(
% 3.48/0.77 ![X0,X1]: (set_union2(relation_rng(relation_dom_restriction(identity_relation(X0),X1)),X0)=X0)),
% 3.48/0.77 inference(resolution,[status(thm)],[f7774,f615])).
% 3.48/0.77 fof(f7792,plain,(
% 3.48/0.77 ![X0,X1]: (set_union2(X0,relation_rng(relation_dom_restriction(identity_relation(X0),X1)))=X0)),
% 3.48/0.77 inference(forward_demodulation,[status(thm)],[f214,f7791])).
% 3.48/0.77 fof(f7810,plain,(
% 3.48/0.77 spl0_503 <=> subset(relation_rng(sk0_56),relation_rng(set_union2(sk0_56,relation_rng(relation_dom_restriction(identity_relation(sk0_56),X0)))))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7813,plain,(
% 3.48/0.77 ![X0]: (~relation(sk0_56)|subset(relation_rng(sk0_56),relation_rng(set_union2(sk0_56,relation_rng(relation_dom_restriction(identity_relation(sk0_56),X0))))))),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f7792,f2262])).
% 3.48/0.77 fof(f7814,plain,(
% 3.48/0.77 ~spl0_83|spl0_503),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7813,f2146,f7810])).
% 3.48/0.77 fof(f7854,plain,(
% 3.48/0.77 spl0_504 <=> ~relation(relation_rng(relation_dom_restriction(identity_relation(X0),X1)))|subset(relation_rng(set_difference(relation_rng(relation_dom_restriction(identity_relation(X0),X1)),X0)),relation_rng(relation_rng(relation_dom_restriction(identity_relation(X0),X1))))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7857,plain,(
% 3.48/0.77 ![X0,X1]: (~relation(empty_set)|~relation(relation_rng(relation_dom_restriction(identity_relation(X0),X1)))|subset(relation_rng(set_difference(relation_rng(relation_dom_restriction(identity_relation(X0),X1)),X0)),relation_rng(relation_rng(relation_dom_restriction(identity_relation(X0),X1)))))),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f7787,f1961])).
% 3.48/0.77 fof(f7858,plain,(
% 3.48/0.77 ~spl0_6|spl0_504),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7857,f945,f7854])).
% 3.48/0.77 fof(f7888,plain,(
% 3.48/0.77 spl0_505 <=> ~in(X0,relation_inverse_image(relation_inverse(sk0_56),empty_set))|~in(empty_set,sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_56)))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7891,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_inverse(sk0_56))|~in(X0,relation_inverse_image(relation_inverse(sk0_56),empty_set))|~in(empty_set,sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_56)))|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f7009,f4422])).
% 3.48/0.77 fof(f7892,plain,(
% 3.48/0.77 ~spl0_232|spl0_505|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7891,f3859,f7888,f4411])).
% 3.48/0.77 fof(f7893,plain,(
% 3.48/0.77 spl0_506 <=> ~in(X0,relation_inverse_image(relation_inverse(empty_set),empty_set))|~in(empty_set,sk0_9(X0,empty_set,empty_set,relation_inverse(empty_set)))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7896,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_inverse(empty_set))|~in(X0,relation_inverse_image(relation_inverse(empty_set),empty_set))|~in(empty_set,sk0_9(X0,empty_set,empty_set,relation_inverse(empty_set)))|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f6895,f4422])).
% 3.48/0.77 fof(f7897,plain,(
% 3.48/0.77 ~spl0_231|spl0_506|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7896,f3854,f7893,f4411])).
% 3.48/0.77 fof(f7898,plain,(
% 3.48/0.77 spl0_507 <=> ~in(X0,relation_inverse_image(relation_inverse(sk0_61),empty_set))|~in(empty_set,sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_61)))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7901,plain,(
% 3.48/0.77 ![X0]: (~relation(relation_inverse(sk0_61))|~in(X0,relation_inverse_image(relation_inverse(sk0_61),empty_set))|~in(empty_set,sk0_9(X0,empty_set,empty_set,relation_inverse(sk0_61)))|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f6715,f4422])).
% 3.48/0.77 fof(f7902,plain,(
% 3.48/0.77 ~spl0_164|spl0_507|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7901,f2912,f7898,f4411])).
% 3.48/0.77 fof(f7903,plain,(
% 3.48/0.77 spl0_508 <=> ~in(X0,relation_inverse_image(sk0_56,empty_set))|~in(empty_set,sk0_9(X0,empty_set,empty_set,sk0_56))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7906,plain,(
% 3.48/0.77 ![X0]: (~relation(sk0_56)|~in(X0,relation_inverse_image(sk0_56,empty_set))|~in(empty_set,sk0_9(X0,empty_set,empty_set,sk0_56))|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f6398,f4422])).
% 3.48/0.77 fof(f7907,plain,(
% 3.48/0.77 ~spl0_83|spl0_508|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7906,f2146,f7903,f4411])).
% 3.48/0.77 fof(f7908,plain,(
% 3.48/0.77 spl0_509 <=> ~in(X0,relation_inverse_image(sk0_61,empty_set))|~in(empty_set,sk0_9(X0,empty_set,empty_set,sk0_61))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7911,plain,(
% 3.48/0.77 ![X0]: (~relation(sk0_61)|~in(X0,relation_inverse_image(sk0_61,empty_set))|~in(empty_set,sk0_9(X0,empty_set,empty_set,sk0_61))|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f6276,f4422])).
% 3.48/0.77 fof(f7912,plain,(
% 3.48/0.77 ~spl0_58|spl0_509|~spl0_281),
% 3.48/0.77 inference(split_clause,[status(thm)],[f7911,f1304,f7908,f4411])).
% 3.48/0.77 fof(f7913,plain,(
% 3.48/0.77 spl0_510 <=> ~in(X0,relation_inverse_image(empty_set,X1))|~in(X1,sk0_9(X0,empty_set,X1,empty_set))),
% 3.48/0.77 introduced(split_symbol_definition)).
% 3.48/0.77 fof(f7916,plain,(
% 3.48/0.77 ![X0,X1]: (~relation(empty_set)|~in(X0,relation_inverse_image(empty_set,X1))|~in(X1,sk0_9(X0,empty_set,X1,empty_set))|~spl0_281)),
% 3.48/0.77 inference(paramodulation,[status(thm)],[f4572,f4422])).
% 3.53/0.77 fof(f7917,plain,(
% 3.53/0.77 ~spl0_6|spl0_510|~spl0_281),
% 3.53/0.77 inference(split_clause,[status(thm)],[f7916,f945,f7913,f4411])).
% 3.53/0.77 fof(f8214,plain,(
% 3.53/0.77 ~relation(sk0_61)|~in(sk0_62,relation_inverse_image(sk0_61,sk0_63))|spl0_295),
% 3.53/0.77 inference(resolution,[status(thm)],[f4897,f896])).
% 3.53/0.77 fof(f8215,plain,(
% 3.53/0.77 ~spl0_58|~spl0_0|spl0_295),
% 3.53/0.77 inference(split_clause,[status(thm)],[f8214,f1304,f862,f4895])).
% 3.53/0.77 fof(f8216,plain,(
% 3.53/0.77 $false),
% 3.53/0.77 inference(sat_refutation,[status(thm)],[f872,f876,f880,f972,f975,f1003,f1012,f1020,f1031,f1039,f1057,f1062,f1067,f1093,f1098,f1105,f1113,f1118,f1123,f1131,f1136,f1141,f1149,f1154,f1159,f1167,f1172,f1177,f1185,f1190,f1203,f1208,f1221,f1226,f1231,f1239,f1244,f1249,f1251,f1253,f1272,f1274,f1297,f1313,f1317,f1389,f1479,f1483,f1491,f1604,f1608,f1671,f1673,f1755,f1779,f1833,f1887,f2067,f2131,f2136,f2150,f2162,f2168,f2184,f2224,f2253,f2407,f2416,f2430,f2435,f2439,f2447,f2472,f2526,f2531,f2609,f2614,f2640,f2645,f2660,f2665,f2675,f2680,f2690,f2695,f2704,f2709,f2721,f2787,f2819,f2827,f2832,f2919,f2924,f2928,f3028,f3077,f3082,f3087,f3114,f3119,f3124,f3151,f3156,f3161,f3191,f3207,f3262,f3271,f3276,f3311,f3316,f3362,f3367,f3374,f3379,f3385,f3422,f3427,f3434,f3439,f3445,f3486,f3505,f3520,f3525,f3575,f3580,f3639,f3644,f3649,f3679,f3684,f3689,f3780,f3785,f3790,f3795,f3802,f3807,f3813,f3883,f3892,f3929,f3934,f3939,f3944,f3951,f3956,f3958,f3964,f4002,f4007,f4012,f4017,f4024,f4029,f4031,f4037,f4104,f4116,f4121,f4126,f4131,f4152,f4157,f4176,f4181,f4186,f4191,f4214,f4224,f4241,f4248,f4255,f4395,f4400,f4415,f4564,f4569,f4587,f4592,f4597,f4602,f4899,f4990,f4997,f5002,f5009,f5014,f5021,f5026,f5031,f5332,f5337,f5344,f5349,f5356,f5361,f5376,f5381,f5388,f5393,f5400,f5405,f5540,f5597,f5602,f5786,f5791,f5836,f5881,f5888,f5934,f5951,f5972,f5993,f6013,f6033,f6263,f6268,f6274,f6283,f6288,f6293,f6298,f6303,f6308,f6331,f6336,f6341,f6346,f6351,f6358,f6385,f6390,f6396,f6405,f6410,f6415,f6420,f6425,f6430,f6438,f6443,f6448,f6453,f6458,f6534,f6539,f6544,f6551,f6591,f6604,f6638,f6702,f6707,f6713,f6722,f6727,f6732,f6737,f6742,f6747,f6755,f6760,f6765,f6770,f6775,f6780,f6786,f6790,f6803,f6882,f6887,f6893,f6902,f6907,f6912,f6917,f6922,f6927,f6935,f6940,f6945,f6950,f6955,f6960,f6967,f6996,f7001,f7007,f7016,f7021,f7026,f7031,f7036,f7041,f7049,f7054,f7059,f7064,f7069,f7074,f7081,f7107,f7123,f7135,f7166,f7171,f7195,f7211,f7228,f7255,f7260,f7265,f7270,f7275,f7280,f7299,f7354,f7383,f7388,f7405,f7411,f7431,f7455,f7465,f7467,f7473,f7479,f7560,f7672,f7677,f7721,f7733,f7738,f7743,f7748,f7753,f7772,f7779,f7814,f7858,f7892,f7897,f7902,f7907,f7912,f7917,f8215])).
% 3.53/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 3.53/0.78 % Elapsed time: 0.483138 seconds
% 3.53/0.78 % CPU time: 3.649434 seconds
% 3.53/0.78 % Memory used: 117.974 MB
%------------------------------------------------------------------------------