%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU044+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 12:35:45 EDT 2023

% Result   : Theorem 0.21s 0.45s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEU044+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 08:55:32 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.21/0.45  % Refutation found
% 0.21/0.45  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.45  % SZS output start CNFRefutation for theBenchmark
% 0.21/0.45  fof(f2,axiom,(
% 0.21/0.45    ( empty(empty_set)& relation(empty_set) ) ),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f5,axiom,(
% 0.21/0.45    (! [A] :(? [B] : element(B,A) ))),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f6,axiom,(
% 0.21/0.45    (! [A] :( empty(A)=> function(A) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f8,axiom,(
% 0.21/0.45    (! [A] : ~ empty(powerset(A)) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f9,axiom,(
% 0.21/0.45    (! [A] :( ( ~ empty(A)& relation(A) )=> ~ empty(relation_dom(A)) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f10,axiom,(
% 0.21/0.45    (! [A] :( empty(A)=> ( empty(relation_dom(A))& relation(relation_dom(A)) ) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f11,axiom,(
% 0.21/0.45    (! [A] :( empty(A)=> relation(A) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f12,axiom,(
% 0.21/0.45    (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f13,axiom,(
% 0.21/0.45    (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f14,axiom,(
% 0.21/0.45    (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f15,axiom,(
% 0.21/0.45    (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f16,axiom,(
% 0.21/0.45    (! [A] :( empty(A)=> A = empty_set ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f18,axiom,(
% 0.21/0.45    (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f19,axiom,(
% 0.21/0.45    (! [A,B] :( relation(B)=> relation(relation_rng_restriction(A,B)) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f20,axiom,(
% 0.21/0.45    (! [A,B] :( ( relation(B)& function(B) )=> ( relation(relation_rng_restriction(A,B))& function(relation_rng_restriction(A,B)) ) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f21,axiom,(
% 0.21/0.45    (? [A] :( relation(A)& function(A) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f22,axiom,(
% 0.21/0.45    (? [A] :( relation(A)& empty(A)& function(A) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f23,axiom,(
% 0.21/0.45    (? [A] :( relation(A)& function(A)& one_to_one(A) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f24,axiom,(
% 0.21/0.45    (! [A] :( ~ empty(A)=> (? [B] :( element(B,powerset(A))& ~ empty(B) ) )) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f26,axiom,(
% 0.21/0.45    (? [A] :( empty(A)& relation(A) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f31,axiom,(
% 0.21/0.45    (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f32,axiom,(
% 0.21/0.45    (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f33,conjecture,(
% 0.21/0.45    (! [A,B,C] :( ( relation(C)& function(C) )=> ( in(B,relation_dom(relation_rng_restriction(A,C)))<=> ( in(B,relation_dom(C))& in(apply(C,B),A) ) ) ) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f34,negated_conjecture,(
% 0.21/0.45    ~((! [A,B,C] :( ( relation(C)& function(C) )=> ( in(B,relation_dom(relation_rng_restriction(A,C)))<=> ( in(B,relation_dom(C))& in(apply(C,B),A) ) ) ) ))),
% 0.21/0.45    inference(negated_conjecture,[status(cth)],[f33])).
% 0.21/0.45  fof(f35,axiom,(
% 0.21/0.45    (! [A,B] :( ( relation(B)& function(B) )=> (! [C] :( ( relation(C)& function(C) )=> ( B = relation_rng_restriction(A,C)<=> ( (! [D] :( in(D,relation_dom(B))<=> ( in(D,relation_dom(C))& in(apply(C,D),A) ) ))& (! [D] :( in(D,relation_dom(B))=> apply(B,D) = apply(C,D) ) )) ) ) )) )),
% 0.21/0.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.45  fof(f38,plain,(
% 0.21/0.45    empty(empty_set)),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f2])).
% 0.21/0.45  fof(f39,plain,(
% 0.21/0.45    relation(empty_set)),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f2])).
% 0.21/0.45  fof(f44,plain,(
% 0.21/0.45    ![A]: element(sk0_0(A),A)),
% 0.21/0.45    inference(skolemization,[status(esa)],[f5])).
% 0.21/0.45  fof(f45,plain,(
% 0.21/0.45    ![X0]: (element(sk0_0(X0),X0))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f44])).
% 0.21/0.45  fof(f46,plain,(
% 0.21/0.45    ![A]: (~empty(A)|function(A))),
% 0.21/0.45    inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.21/0.45  fof(f47,plain,(
% 0.21/0.45    ![X0]: (~empty(X0)|function(X0))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f46])).
% 0.21/0.45  fof(f52,plain,(
% 0.21/0.45    ![X0]: (~empty(powerset(X0)))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f8])).
% 0.21/0.45  fof(f53,plain,(
% 0.21/0.45    ![A]: ((empty(A)|~relation(A))|~empty(relation_dom(A)))),
% 0.21/0.45    inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.21/0.45  fof(f54,plain,(
% 0.21/0.45    ![X0]: (empty(X0)|~relation(X0)|~empty(relation_dom(X0)))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f53])).
% 0.21/0.45  fof(f55,plain,(
% 0.21/0.45    ![A]: (~empty(A)|(empty(relation_dom(A))&relation(relation_dom(A))))),
% 0.21/0.45    inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.21/0.45  fof(f56,plain,(
% 0.21/0.45    ![X0]: (~empty(X0)|empty(relation_dom(X0)))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f55])).
% 0.21/0.45  fof(f57,plain,(
% 0.21/0.45    ![X0]: (~empty(X0)|relation(relation_dom(X0)))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f55])).
% 0.21/0.45  fof(f58,plain,(
% 0.21/0.45    ![A]: (~empty(A)|relation(A))),
% 0.21/0.45    inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.21/0.45  fof(f59,plain,(
% 0.21/0.45    ![X0]: (~empty(X0)|relation(X0))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f58])).
% 0.21/0.45  fof(f60,plain,(
% 0.21/0.45    ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.21/0.45    inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.21/0.45  fof(f61,plain,(
% 0.21/0.45    ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f60])).
% 0.21/0.45  fof(f62,plain,(
% 0.21/0.45    ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.21/0.45    inference(NNF_transformation,[status(esa)],[f13])).
% 0.21/0.45  fof(f63,plain,(
% 0.21/0.45    (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.21/0.45    inference(miniscoping,[status(esa)],[f62])).
% 0.21/0.45  fof(f64,plain,(
% 0.21/0.45    ![X0,X1]: (~element(X0,powerset(X1))|subset(X0,X1))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f63])).
% 0.21/0.45  fof(f65,plain,(
% 0.21/0.45    ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f63])).
% 0.21/0.45  fof(f66,plain,(
% 0.21/0.45    ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 0.21/0.45    inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.21/0.45  fof(f67,plain,(
% 0.21/0.45    ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 0.21/0.45    inference(miniscoping,[status(esa)],[f66])).
% 0.21/0.45  fof(f68,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f67])).
% 0.21/0.45  fof(f69,plain,(
% 0.21/0.45    ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 0.21/0.45    inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.21/0.45  fof(f70,plain,(
% 0.21/0.45    ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 0.21/0.45    inference(miniscoping,[status(esa)],[f69])).
% 0.21/0.45  fof(f71,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f70])).
% 0.21/0.45  fof(f72,plain,(
% 0.21/0.45    ![A]: (~empty(A)|A=empty_set)),
% 0.21/0.45    inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.21/0.45  fof(f73,plain,(
% 0.21/0.45    ![X0]: (~empty(X0)|X0=empty_set)),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f72])).
% 0.21/0.45  fof(f77,plain,(
% 0.21/0.45    ![A,B]: (~in(A,B)|~in(B,A))),
% 0.21/0.45    inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.21/0.45  fof(f78,plain,(
% 0.21/0.45    ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f77])).
% 0.21/0.45  fof(f79,plain,(
% 0.21/0.45    ![A,B]: (~relation(B)|relation(relation_rng_restriction(A,B)))),
% 0.21/0.45    inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.21/0.45  fof(f80,plain,(
% 0.21/0.45    ![B]: (~relation(B)|(![A]: relation(relation_rng_restriction(A,B))))),
% 0.21/0.45    inference(miniscoping,[status(esa)],[f79])).
% 0.21/0.45  fof(f81,plain,(
% 0.21/0.45    ![X0,X1]: (~relation(X0)|relation(relation_rng_restriction(X1,X0)))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f80])).
% 0.21/0.45  fof(f82,plain,(
% 0.21/0.45    ![A,B]: ((~relation(B)|~function(B))|(relation(relation_rng_restriction(A,B))&function(relation_rng_restriction(A,B))))),
% 0.21/0.45    inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.21/0.45  fof(f83,plain,(
% 0.21/0.45    ![B]: ((~relation(B)|~function(B))|((![A]: relation(relation_rng_restriction(A,B)))&(![A]: function(relation_rng_restriction(A,B)))))),
% 0.21/0.45    inference(miniscoping,[status(esa)],[f82])).
% 0.21/0.45  fof(f85,plain,(
% 0.21/0.45    ![X0,X1]: (~relation(X0)|~function(X0)|function(relation_rng_restriction(X1,X0)))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f83])).
% 0.21/0.45  fof(f86,plain,(
% 0.21/0.45    (relation(sk0_1)&function(sk0_1))),
% 0.21/0.45    inference(skolemization,[status(esa)],[f21])).
% 0.21/0.45  fof(f87,plain,(
% 0.21/0.45    relation(sk0_1)),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f86])).
% 0.21/0.45  fof(f88,plain,(
% 0.21/0.45    function(sk0_1)),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f86])).
% 0.21/0.45  fof(f89,plain,(
% 0.21/0.45    ((relation(sk0_2)&empty(sk0_2))&function(sk0_2))),
% 0.21/0.45    inference(skolemization,[status(esa)],[f22])).
% 0.21/0.45  fof(f90,plain,(
% 0.21/0.45    relation(sk0_2)),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f89])).
% 0.21/0.45  fof(f91,plain,(
% 0.21/0.45    empty(sk0_2)),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f89])).
% 0.21/0.45  fof(f92,plain,(
% 0.21/0.45    function(sk0_2)),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f89])).
% 0.21/0.45  fof(f93,plain,(
% 0.21/0.45    ((relation(sk0_3)&function(sk0_3))&one_to_one(sk0_3))),
% 0.21/0.45    inference(skolemization,[status(esa)],[f23])).
% 0.21/0.45  fof(f94,plain,(
% 0.21/0.45    relation(sk0_3)),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f93])).
% 0.21/0.45  fof(f95,plain,(
% 0.21/0.45    function(sk0_3)),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f93])).
% 0.21/0.45  fof(f97,plain,(
% 0.21/0.45    ![A]: (empty(A)|(?[B]: (element(B,powerset(A))&~empty(B))))),
% 0.21/0.45    inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.21/0.45  fof(f98,plain,(
% 0.21/0.45    ![A]: (empty(A)|(element(sk0_4(A),powerset(A))&~empty(sk0_4(A))))),
% 0.21/0.45    inference(skolemization,[status(esa)],[f97])).
% 0.21/0.45  fof(f99,plain,(
% 0.21/0.45    ![X0]: (empty(X0)|element(sk0_4(X0),powerset(X0)))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f98])).
% 0.21/0.45  fof(f100,plain,(
% 0.21/0.45    ![X0]: (empty(X0)|~empty(sk0_4(X0)))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f98])).
% 0.21/0.45  fof(f104,plain,(
% 0.21/0.45    (empty(sk0_6)&relation(sk0_6))),
% 0.21/0.45    inference(skolemization,[status(esa)],[f26])).
% 0.21/0.45  fof(f105,plain,(
% 0.21/0.45    empty(sk0_6)),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f104])).
% 0.21/0.45  fof(f106,plain,(
% 0.21/0.45    relation(sk0_6)),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f104])).
% 0.21/0.45  fof(f117,plain,(
% 0.21/0.45    ![A,B]: (~in(A,B)|element(A,B))),
% 0.21/0.45    inference(pre_NNF_transformation,[status(esa)],[f31])).
% 0.21/0.45  fof(f118,plain,(
% 0.21/0.45    ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f117])).
% 0.21/0.45  fof(f119,plain,(
% 0.21/0.45    ![A,B]: (~in(A,B)|~empty(B))),
% 0.21/0.45    inference(pre_NNF_transformation,[status(esa)],[f32])).
% 0.21/0.45  fof(f120,plain,(
% 0.21/0.45    ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 0.21/0.45    inference(miniscoping,[status(esa)],[f119])).
% 0.21/0.45  fof(f121,plain,(
% 0.21/0.45    ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f120])).
% 0.21/0.45  fof(f122,plain,(
% 0.21/0.45    (?[A,B,C]: ((relation(C)&function(C))&(in(B,relation_dom(relation_rng_restriction(A,C)))<~>(in(B,relation_dom(C))&in(apply(C,B),A)))))),
% 0.21/0.45    inference(pre_NNF_transformation,[status(esa)],[f34])).
% 0.21/0.45  fof(f123,plain,(
% 0.21/0.45    ?[A,B,C]: ((relation(C)&function(C))&((in(B,relation_dom(relation_rng_restriction(A,C)))|(in(B,relation_dom(C))&in(apply(C,B),A)))&(~in(B,relation_dom(relation_rng_restriction(A,C)))|(~in(B,relation_dom(C))|~in(apply(C,B),A)))))),
% 0.21/0.45    inference(NNF_transformation,[status(esa)],[f122])).
% 0.21/0.45  fof(f124,plain,(
% 0.21/0.45    ?[C]: ((relation(C)&function(C))&(?[A,B]: ((in(B,relation_dom(relation_rng_restriction(A,C)))|(in(B,relation_dom(C))&in(apply(C,B),A)))&(~in(B,relation_dom(relation_rng_restriction(A,C)))|(~in(B,relation_dom(C))|~in(apply(C,B),A))))))),
% 0.21/0.45    inference(miniscoping,[status(esa)],[f123])).
% 0.21/0.45  fof(f125,plain,(
% 0.21/0.45    ((relation(sk0_11)&function(sk0_11))&((in(sk0_13,relation_dom(relation_rng_restriction(sk0_12,sk0_11)))|(in(sk0_13,relation_dom(sk0_11))&in(apply(sk0_11,sk0_13),sk0_12)))&(~in(sk0_13,relation_dom(relation_rng_restriction(sk0_12,sk0_11)))|(~in(sk0_13,relation_dom(sk0_11))|~in(apply(sk0_11,sk0_13),sk0_12)))))),
% 0.21/0.45    inference(skolemization,[status(esa)],[f124])).
% 0.21/0.45  fof(f126,plain,(
% 0.21/0.45    relation(sk0_11)),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f125])).
% 0.21/0.45  fof(f127,plain,(
% 0.21/0.45    function(sk0_11)),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f125])).
% 0.21/0.45  fof(f128,plain,(
% 0.21/0.45    in(sk0_13,relation_dom(relation_rng_restriction(sk0_12,sk0_11)))|in(sk0_13,relation_dom(sk0_11))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f125])).
% 0.21/0.45  fof(f129,plain,(
% 0.21/0.45    in(sk0_13,relation_dom(relation_rng_restriction(sk0_12,sk0_11)))|in(apply(sk0_11,sk0_13),sk0_12)),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f125])).
% 0.21/0.45  fof(f130,plain,(
% 0.21/0.45    ~in(sk0_13,relation_dom(relation_rng_restriction(sk0_12,sk0_11)))|~in(sk0_13,relation_dom(sk0_11))|~in(apply(sk0_11,sk0_13),sk0_12)),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f125])).
% 0.21/0.45  fof(f131,plain,(
% 0.21/0.45    ![A,B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|(B=relation_rng_restriction(A,C)<=>((![D]: (in(D,relation_dom(B))<=>(in(D,relation_dom(C))&in(apply(C,D),A))))&(![D]: (~in(D,relation_dom(B))|apply(B,D)=apply(C,D))))))))),
% 0.21/0.45    inference(pre_NNF_transformation,[status(esa)],[f35])).
% 0.21/0.45  fof(f132,plain,(
% 0.21/0.45    ![A,C,D]: (pd0_0(D,C,A)<=>(in(D,relation_dom(C))&in(apply(C,D),A)))),
% 0.21/0.45    introduced(predicate_definition,[f131])).
% 0.21/0.45  fof(f133,plain,(
% 0.21/0.45    ![A,B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|(B=relation_rng_restriction(A,C)<=>((![D]: (in(D,relation_dom(B))<=>pd0_0(D,C,A)))&(![D]: (~in(D,relation_dom(B))|apply(B,D)=apply(C,D))))))))),
% 0.21/0.45    inference(formula_renaming,[status(thm)],[f131,f132])).
% 0.21/0.45  fof(f134,plain,(
% 0.21/0.45    ![A,B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|((~B=relation_rng_restriction(A,C)|((![D]: ((~in(D,relation_dom(B))|pd0_0(D,C,A))&(in(D,relation_dom(B))|~pd0_0(D,C,A))))&(![D]: (~in(D,relation_dom(B))|apply(B,D)=apply(C,D)))))&(B=relation_rng_restriction(A,C)|((?[D]: ((~in(D,relation_dom(B))|~pd0_0(D,C,A))&(in(D,relation_dom(B))|pd0_0(D,C,A))))|(?[D]: (in(D,relation_dom(B))&~apply(B,D)=apply(C,D)))))))))),
% 0.21/0.45    inference(NNF_transformation,[status(esa)],[f133])).
% 0.21/0.45  fof(f135,plain,(
% 0.21/0.45    ![B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|((![A]: (~B=relation_rng_restriction(A,C)|(((![D]: (~in(D,relation_dom(B))|pd0_0(D,C,A)))&(![D]: (in(D,relation_dom(B))|~pd0_0(D,C,A))))&(![D]: (~in(D,relation_dom(B))|apply(B,D)=apply(C,D))))))&(![A]: (B=relation_rng_restriction(A,C)|((?[D]: ((~in(D,relation_dom(B))|~pd0_0(D,C,A))&(in(D,relation_dom(B))|pd0_0(D,C,A))))|(?[D]: (in(D,relation_dom(B))&~apply(B,D)=apply(C,D))))))))))),
% 0.21/0.45    inference(miniscoping,[status(esa)],[f134])).
% 0.21/0.45  fof(f136,plain,(
% 0.21/0.45    ![B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|((![A]: (~B=relation_rng_restriction(A,C)|(((![D]: (~in(D,relation_dom(B))|pd0_0(D,C,A)))&(![D]: (in(D,relation_dom(B))|~pd0_0(D,C,A))))&(![D]: (~in(D,relation_dom(B))|apply(B,D)=apply(C,D))))))&(![A]: (B=relation_rng_restriction(A,C)|(((~in(sk0_14(A,C,B),relation_dom(B))|~pd0_0(sk0_14(A,C,B),C,A))&(in(sk0_14(A,C,B),relation_dom(B))|pd0_0(sk0_14(A,C,B),C,A)))|(in(sk0_15(A,C,B),relation_dom(B))&~apply(B,sk0_15(A,C,B))=apply(C,sk0_15(A,C,B))))))))))),
% 0.21/0.45    inference(skolemization,[status(esa)],[f135])).
% 0.21/0.45  fof(f137,plain,(
% 0.21/0.45    ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|~X0=relation_rng_restriction(X2,X1)|~in(X3,relation_dom(X0))|pd0_0(X3,X1,X2))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f136])).
% 0.21/0.45  fof(f138,plain,(
% 0.21/0.45    ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|~X0=relation_rng_restriction(X2,X1)|in(X3,relation_dom(X0))|~pd0_0(X3,X1,X2))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f136])).
% 0.21/0.45  fof(f139,plain,(
% 0.21/0.45    ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|~X0=relation_rng_restriction(X2,X1)|~in(X3,relation_dom(X0))|apply(X0,X3)=apply(X1,X3))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f136])).
% 0.21/0.45  fof(f140,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|X0=relation_rng_restriction(X2,X1)|~in(sk0_14(X2,X1,X0),relation_dom(X0))|~pd0_0(sk0_14(X2,X1,X0),X1,X2)|in(sk0_15(X2,X1,X0),relation_dom(X0)))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f136])).
% 0.21/0.45  fof(f142,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|X0=relation_rng_restriction(X2,X1)|in(sk0_14(X2,X1,X0),relation_dom(X0))|pd0_0(sk0_14(X2,X1,X0),X1,X2)|in(sk0_15(X2,X1,X0),relation_dom(X0)))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f136])).
% 0.21/0.45  fof(f143,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|X0=relation_rng_restriction(X2,X1)|in(sk0_14(X2,X1,X0),relation_dom(X0))|pd0_0(sk0_14(X2,X1,X0),X1,X2)|~apply(X0,sk0_15(X2,X1,X0))=apply(X1,sk0_15(X2,X1,X0)))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f136])).
% 0.21/0.45  fof(f144,plain,(
% 0.21/0.45    ![A,C,D]: ((~pd0_0(D,C,A)|(in(D,relation_dom(C))&in(apply(C,D),A)))&(pd0_0(D,C,A)|(~in(D,relation_dom(C))|~in(apply(C,D),A))))),
% 0.21/0.45    inference(NNF_transformation,[status(esa)],[f132])).
% 0.21/0.45  fof(f145,plain,(
% 0.21/0.45    (![A,C,D]: (~pd0_0(D,C,A)|(in(D,relation_dom(C))&in(apply(C,D),A))))&(![A,C,D]: (pd0_0(D,C,A)|(~in(D,relation_dom(C))|~in(apply(C,D),A))))),
% 0.21/0.45    inference(miniscoping,[status(esa)],[f144])).
% 0.21/0.45  fof(f146,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|in(X0,relation_dom(X1)))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f145])).
% 0.21/0.45  fof(f147,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|in(apply(X1,X0),X2))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f145])).
% 0.21/0.45  fof(f148,plain,(
% 0.21/0.45    ![X0,X1,X2]: (pd0_0(X0,X1,X2)|~in(X0,relation_dom(X1))|~in(apply(X1,X0),X2))),
% 0.21/0.45    inference(cnf_transformation,[status(esa)],[f145])).
% 0.21/0.45  fof(f149,plain,(
% 0.21/0.45    spl0_0 <=> in(sk0_13,relation_dom(relation_rng_restriction(sk0_12,sk0_11)))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f150,plain,(
% 0.21/0.45    in(sk0_13,relation_dom(relation_rng_restriction(sk0_12,sk0_11)))|~spl0_0),
% 0.21/0.45    inference(component_clause,[status(thm)],[f149])).
% 0.21/0.45  fof(f152,plain,(
% 0.21/0.45    spl0_1 <=> in(sk0_13,relation_dom(sk0_11))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f155,plain,(
% 0.21/0.45    spl0_0|spl0_1),
% 0.21/0.45    inference(split_clause,[status(thm)],[f128,f149,f152])).
% 0.21/0.45  fof(f156,plain,(
% 0.21/0.45    spl0_2 <=> in(apply(sk0_11,sk0_13),sk0_12)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f157,plain,(
% 0.21/0.45    in(apply(sk0_11,sk0_13),sk0_12)|~spl0_2),
% 0.21/0.45    inference(component_clause,[status(thm)],[f156])).
% 0.21/0.45  fof(f159,plain,(
% 0.21/0.45    spl0_0|spl0_2),
% 0.21/0.45    inference(split_clause,[status(thm)],[f129,f149,f156])).
% 0.21/0.45  fof(f160,plain,(
% 0.21/0.45    ~spl0_0|~spl0_1|~spl0_2),
% 0.21/0.45    inference(split_clause,[status(thm)],[f130,f149,f152,f156])).
% 0.21/0.45  fof(f161,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~relation(relation_rng_restriction(X0,X1))|~function(relation_rng_restriction(X0,X1))|~relation(X1)|~function(X1)|~in(X2,relation_dom(relation_rng_restriction(X0,X1)))|pd0_0(X2,X1,X0))),
% 0.21/0.45    inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.21/0.45  fof(f162,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~relation(relation_rng_restriction(X0,X1))|~function(relation_rng_restriction(X0,X1))|~relation(X1)|~function(X1)|in(X2,relation_dom(relation_rng_restriction(X0,X1)))|~pd0_0(X2,X1,X0))),
% 0.21/0.45    inference(destructive_equality_resolution,[status(esa)],[f138])).
% 0.21/0.45  fof(f163,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~relation(relation_rng_restriction(X0,X1))|~function(relation_rng_restriction(X0,X1))|~relation(X1)|~function(X1)|~in(X2,relation_dom(relation_rng_restriction(X0,X1)))|apply(relation_rng_restriction(X0,X1),X2)=apply(X1,X2))),
% 0.21/0.45    inference(destructive_equality_resolution,[status(esa)],[f139])).
% 0.21/0.45  fof(f164,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~function(relation_rng_restriction(X0,X1))|~relation(X1)|~function(X1)|~in(X2,relation_dom(relation_rng_restriction(X0,X1)))|apply(relation_rng_restriction(X0,X1),X2)=apply(X1,X2))),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f163,f81])).
% 0.21/0.45  fof(f165,plain,(
% 0.21/0.45    empty(relation_dom(empty_set))),
% 0.21/0.45    inference(resolution,[status(thm)],[f38,f56])).
% 0.21/0.45  fof(f166,plain,(
% 0.21/0.45    ![X0]: (~in(X0,empty_set))),
% 0.21/0.45    inference(resolution,[status(thm)],[f38,f121])).
% 0.21/0.45  fof(f167,plain,(
% 0.21/0.45    spl0_3 <=> empty(empty_set)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f170,plain,(
% 0.21/0.45    spl0_4 <=> relation(empty_set)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f172,plain,(
% 0.21/0.45    ~relation(empty_set)|spl0_4),
% 0.21/0.45    inference(component_clause,[status(thm)],[f170])).
% 0.21/0.45  fof(f173,plain,(
% 0.21/0.45    empty(empty_set)|~relation(empty_set)),
% 0.21/0.45    inference(resolution,[status(thm)],[f165,f54])).
% 0.21/0.45  fof(f174,plain,(
% 0.21/0.45    spl0_3|~spl0_4),
% 0.21/0.45    inference(split_clause,[status(thm)],[f173,f167,f170])).
% 0.21/0.45  fof(f175,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(empty_set)))),
% 0.21/0.45    inference(resolution,[status(thm)],[f165,f56])).
% 0.21/0.45  fof(f177,plain,(
% 0.21/0.45    spl0_5 <=> empty(relation_dom(empty_set))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f180,plain,(
% 0.21/0.45    spl0_6 <=> relation(relation_dom(empty_set))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f182,plain,(
% 0.21/0.45    ~relation(relation_dom(empty_set))|spl0_6),
% 0.21/0.45    inference(component_clause,[status(thm)],[f180])).
% 0.21/0.45  fof(f183,plain,(
% 0.21/0.45    empty(relation_dom(empty_set))|~relation(relation_dom(empty_set))),
% 0.21/0.45    inference(resolution,[status(thm)],[f175,f54])).
% 0.21/0.45  fof(f184,plain,(
% 0.21/0.45    spl0_5|~spl0_6),
% 0.21/0.45    inference(split_clause,[status(thm)],[f183,f177,f180])).
% 0.21/0.45  fof(f185,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(empty_set))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f175,f56])).
% 0.21/0.45  fof(f187,plain,(
% 0.21/0.45    empty(relation_dom(sk0_2))),
% 0.21/0.45    inference(resolution,[status(thm)],[f91,f56])).
% 0.21/0.45  fof(f189,plain,(
% 0.21/0.45    empty(relation_dom(sk0_6))),
% 0.21/0.45    inference(resolution,[status(thm)],[f105,f56])).
% 0.21/0.45  fof(f192,plain,(
% 0.21/0.45    spl0_7 <=> function(relation_rng_restriction(sk0_12,sk0_11))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f193,plain,(
% 0.21/0.45    function(relation_rng_restriction(sk0_12,sk0_11))|~spl0_7),
% 0.21/0.45    inference(component_clause,[status(thm)],[f192])).
% 0.21/0.45  fof(f194,plain,(
% 0.21/0.45    ~function(relation_rng_restriction(sk0_12,sk0_11))|spl0_7),
% 0.21/0.45    inference(component_clause,[status(thm)],[f192])).
% 0.21/0.45  fof(f195,plain,(
% 0.21/0.45    spl0_8 <=> relation(sk0_11)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f197,plain,(
% 0.21/0.45    ~relation(sk0_11)|spl0_8),
% 0.21/0.45    inference(component_clause,[status(thm)],[f195])).
% 0.21/0.45  fof(f198,plain,(
% 0.21/0.45    spl0_9 <=> function(sk0_11)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f200,plain,(
% 0.21/0.45    ~function(sk0_11)|spl0_9),
% 0.21/0.45    inference(component_clause,[status(thm)],[f198])).
% 0.21/0.45  fof(f207,plain,(
% 0.21/0.45    $false|spl0_9),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f200,f127])).
% 0.21/0.45  fof(f208,plain,(
% 0.21/0.45    spl0_9),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f207])).
% 0.21/0.45  fof(f209,plain,(
% 0.21/0.45    $false|spl0_8),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f197,f126])).
% 0.21/0.45  fof(f210,plain,(
% 0.21/0.45    spl0_8),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f209])).
% 0.21/0.45  fof(f211,plain,(
% 0.21/0.45    ~relation(sk0_11)|~function(sk0_11)|spl0_7),
% 0.21/0.45    inference(resolution,[status(thm)],[f194,f85])).
% 0.21/0.45  fof(f212,plain,(
% 0.21/0.45    ~spl0_8|~spl0_9|spl0_7),
% 0.21/0.45    inference(split_clause,[status(thm)],[f211,f195,f198,f192])).
% 0.21/0.45  fof(f214,plain,(
% 0.21/0.45    $false|spl0_4),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f172,f39])).
% 0.21/0.45  fof(f215,plain,(
% 0.21/0.45    spl0_4),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f214])).
% 0.21/0.45  fof(f216,plain,(
% 0.21/0.45    ~empty(empty_set)|spl0_6),
% 0.21/0.45    inference(resolution,[status(thm)],[f182,f57])).
% 0.21/0.45  fof(f217,plain,(
% 0.21/0.45    $false|spl0_6),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f216,f38])).
% 0.21/0.45  fof(f218,plain,(
% 0.21/0.45    spl0_6),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f217])).
% 0.21/0.45  fof(f219,plain,(
% 0.21/0.45    spl0_11 <=> empty(sk0_2)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f222,plain,(
% 0.21/0.45    spl0_12 <=> relation(sk0_2)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f224,plain,(
% 0.21/0.45    ~relation(sk0_2)|spl0_12),
% 0.21/0.45    inference(component_clause,[status(thm)],[f222])).
% 0.21/0.45  fof(f225,plain,(
% 0.21/0.45    empty(sk0_2)|~relation(sk0_2)),
% 0.21/0.45    inference(resolution,[status(thm)],[f187,f54])).
% 0.21/0.45  fof(f226,plain,(
% 0.21/0.45    spl0_11|~spl0_12),
% 0.21/0.45    inference(split_clause,[status(thm)],[f225,f219,f222])).
% 0.21/0.45  fof(f227,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(sk0_2)))),
% 0.21/0.45    inference(resolution,[status(thm)],[f187,f56])).
% 0.21/0.45  fof(f229,plain,(
% 0.21/0.45    $false|spl0_12),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f224,f90])).
% 0.21/0.45  fof(f230,plain,(
% 0.21/0.45    spl0_12),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f229])).
% 0.21/0.45  fof(f231,plain,(
% 0.21/0.45    spl0_13 <=> empty(sk0_6)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f234,plain,(
% 0.21/0.45    spl0_14 <=> relation(sk0_6)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f236,plain,(
% 0.21/0.45    ~relation(sk0_6)|spl0_14),
% 0.21/0.45    inference(component_clause,[status(thm)],[f234])).
% 0.21/0.45  fof(f237,plain,(
% 0.21/0.45    empty(sk0_6)|~relation(sk0_6)),
% 0.21/0.45    inference(resolution,[status(thm)],[f189,f54])).
% 0.21/0.45  fof(f238,plain,(
% 0.21/0.45    spl0_13|~spl0_14),
% 0.21/0.45    inference(split_clause,[status(thm)],[f237,f231,f234])).
% 0.21/0.45  fof(f239,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(sk0_6)))),
% 0.21/0.45    inference(resolution,[status(thm)],[f189,f56])).
% 0.21/0.45  fof(f241,plain,(
% 0.21/0.45    $false|spl0_14),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f236,f106])).
% 0.21/0.45  fof(f242,plain,(
% 0.21/0.45    spl0_14),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f241])).
% 0.21/0.45  fof(f243,plain,(
% 0.21/0.45    spl0_15 <=> empty(relation_dom(sk0_2))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f246,plain,(
% 0.21/0.45    spl0_16 <=> relation(relation_dom(sk0_2))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f248,plain,(
% 0.21/0.45    ~relation(relation_dom(sk0_2))|spl0_16),
% 0.21/0.45    inference(component_clause,[status(thm)],[f246])).
% 0.21/0.45  fof(f249,plain,(
% 0.21/0.45    empty(relation_dom(sk0_2))|~relation(relation_dom(sk0_2))),
% 0.21/0.45    inference(resolution,[status(thm)],[f227,f54])).
% 0.21/0.45  fof(f250,plain,(
% 0.21/0.45    spl0_15|~spl0_16),
% 0.21/0.45    inference(split_clause,[status(thm)],[f249,f243,f246])).
% 0.21/0.45  fof(f251,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(sk0_2))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f227,f56])).
% 0.21/0.45  fof(f253,plain,(
% 0.21/0.45    ~empty(sk0_2)|spl0_16),
% 0.21/0.45    inference(resolution,[status(thm)],[f248,f57])).
% 0.21/0.45  fof(f254,plain,(
% 0.21/0.45    $false|spl0_16),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f253,f91])).
% 0.21/0.45  fof(f255,plain,(
% 0.21/0.45    spl0_16),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f254])).
% 0.21/0.45  fof(f256,plain,(
% 0.21/0.45    spl0_17 <=> empty(relation_dom(sk0_6))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f259,plain,(
% 0.21/0.45    spl0_18 <=> relation(relation_dom(sk0_6))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f261,plain,(
% 0.21/0.45    ~relation(relation_dom(sk0_6))|spl0_18),
% 0.21/0.45    inference(component_clause,[status(thm)],[f259])).
% 0.21/0.45  fof(f262,plain,(
% 0.21/0.45    empty(relation_dom(sk0_6))|~relation(relation_dom(sk0_6))),
% 0.21/0.45    inference(resolution,[status(thm)],[f239,f54])).
% 0.21/0.45  fof(f263,plain,(
% 0.21/0.45    spl0_17|~spl0_18),
% 0.21/0.45    inference(split_clause,[status(thm)],[f262,f256,f259])).
% 0.21/0.45  fof(f264,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(sk0_6))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f239,f56])).
% 0.21/0.45  fof(f266,plain,(
% 0.21/0.45    ~empty(sk0_6)|spl0_18),
% 0.21/0.45    inference(resolution,[status(thm)],[f261,f57])).
% 0.21/0.45  fof(f267,plain,(
% 0.21/0.45    $false|spl0_18),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f266,f105])).
% 0.21/0.45  fof(f268,plain,(
% 0.21/0.45    spl0_18),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f267])).
% 0.21/0.45  fof(f269,plain,(
% 0.21/0.45    spl0_19 <=> empty(relation_dom(relation_dom(empty_set)))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f272,plain,(
% 0.21/0.45    spl0_20 <=> relation(relation_dom(relation_dom(empty_set)))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f274,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(empty_set)))|spl0_20),
% 0.21/0.45    inference(component_clause,[status(thm)],[f272])).
% 0.21/0.45  fof(f275,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(empty_set)))|~relation(relation_dom(relation_dom(empty_set)))),
% 0.21/0.45    inference(resolution,[status(thm)],[f185,f54])).
% 0.21/0.45  fof(f276,plain,(
% 0.21/0.45    spl0_19|~spl0_20),
% 0.21/0.45    inference(split_clause,[status(thm)],[f275,f269,f272])).
% 0.21/0.45  fof(f277,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f185,f56])).
% 0.21/0.45  fof(f279,plain,(
% 0.21/0.45    ~empty(relation_dom(empty_set))|spl0_20),
% 0.21/0.45    inference(resolution,[status(thm)],[f274,f57])).
% 0.21/0.45  fof(f280,plain,(
% 0.21/0.45    $false|spl0_20),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f279,f165])).
% 0.21/0.45  fof(f281,plain,(
% 0.21/0.45    spl0_20),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f280])).
% 0.21/0.45  fof(f282,plain,(
% 0.21/0.45    spl0_21 <=> empty(relation_dom(relation_dom(sk0_2)))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f285,plain,(
% 0.21/0.45    spl0_22 <=> relation(relation_dom(relation_dom(sk0_2)))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f287,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(sk0_2)))|spl0_22),
% 0.21/0.45    inference(component_clause,[status(thm)],[f285])).
% 0.21/0.45  fof(f288,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(sk0_2)))|~relation(relation_dom(relation_dom(sk0_2)))),
% 0.21/0.45    inference(resolution,[status(thm)],[f251,f54])).
% 0.21/0.45  fof(f289,plain,(
% 0.21/0.45    spl0_21|~spl0_22),
% 0.21/0.45    inference(split_clause,[status(thm)],[f288,f282,f285])).
% 0.21/0.45  fof(f290,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(relation_dom(sk0_2)))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f251,f56])).
% 0.21/0.45  fof(f292,plain,(
% 0.21/0.45    ~empty(relation_dom(sk0_2))|spl0_22),
% 0.21/0.45    inference(resolution,[status(thm)],[f287,f57])).
% 0.21/0.45  fof(f293,plain,(
% 0.21/0.45    $false|spl0_22),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f292,f187])).
% 0.21/0.45  fof(f294,plain,(
% 0.21/0.45    spl0_22),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f293])).
% 0.21/0.45  fof(f295,plain,(
% 0.21/0.45    spl0_23 <=> empty(relation_dom(relation_dom(sk0_6)))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f298,plain,(
% 0.21/0.45    spl0_24 <=> relation(relation_dom(relation_dom(sk0_6)))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f300,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(sk0_6)))|spl0_24),
% 0.21/0.45    inference(component_clause,[status(thm)],[f298])).
% 0.21/0.45  fof(f301,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(sk0_6)))|~relation(relation_dom(relation_dom(sk0_6)))),
% 0.21/0.45    inference(resolution,[status(thm)],[f264,f54])).
% 0.21/0.45  fof(f302,plain,(
% 0.21/0.45    spl0_23|~spl0_24),
% 0.21/0.45    inference(split_clause,[status(thm)],[f301,f295,f298])).
% 0.21/0.45  fof(f303,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(relation_dom(sk0_6)))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f264,f56])).
% 0.21/0.45  fof(f305,plain,(
% 0.21/0.45    ~empty(relation_dom(sk0_6))|spl0_24),
% 0.21/0.45    inference(resolution,[status(thm)],[f300,f57])).
% 0.21/0.45  fof(f306,plain,(
% 0.21/0.45    $false|spl0_24),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f305,f189])).
% 0.21/0.45  fof(f307,plain,(
% 0.21/0.45    spl0_24),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f306])).
% 0.21/0.45  fof(f308,plain,(
% 0.21/0.45    spl0_25 <=> empty(relation_dom(relation_dom(relation_dom(empty_set))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f311,plain,(
% 0.21/0.45    spl0_26 <=> relation(relation_dom(relation_dom(relation_dom(empty_set))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f312,plain,(
% 0.21/0.45    relation(relation_dom(relation_dom(relation_dom(empty_set))))|~spl0_26),
% 0.21/0.45    inference(component_clause,[status(thm)],[f311])).
% 0.21/0.45  fof(f313,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(relation_dom(empty_set))))|spl0_26),
% 0.21/0.45    inference(component_clause,[status(thm)],[f311])).
% 0.21/0.45  fof(f314,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(empty_set))))|~relation(relation_dom(relation_dom(relation_dom(empty_set))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f277,f54])).
% 0.21/0.45  fof(f315,plain,(
% 0.21/0.45    spl0_25|~spl0_26),
% 0.21/0.45    inference(split_clause,[status(thm)],[f314,f308,f311])).
% 0.21/0.45  fof(f316,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f277,f56])).
% 0.21/0.45  fof(f318,plain,(
% 0.21/0.45    ~empty(relation_dom(relation_dom(empty_set)))|spl0_26),
% 0.21/0.45    inference(resolution,[status(thm)],[f313,f57])).
% 0.21/0.45  fof(f319,plain,(
% 0.21/0.45    $false|spl0_26),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f318,f175])).
% 0.21/0.45  fof(f320,plain,(
% 0.21/0.45    spl0_26),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f319])).
% 0.21/0.45  fof(f321,plain,(
% 0.21/0.45    spl0_27 <=> empty(relation_dom(relation_dom(relation_dom(sk0_2))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f324,plain,(
% 0.21/0.45    spl0_28 <=> relation(relation_dom(relation_dom(relation_dom(sk0_2))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f326,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(relation_dom(sk0_2))))|spl0_28),
% 0.21/0.45    inference(component_clause,[status(thm)],[f324])).
% 0.21/0.45  fof(f327,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(sk0_2))))|~relation(relation_dom(relation_dom(relation_dom(sk0_2))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f290,f54])).
% 0.21/0.45  fof(f328,plain,(
% 0.21/0.45    spl0_27|~spl0_28),
% 0.21/0.45    inference(split_clause,[status(thm)],[f327,f321,f324])).
% 0.21/0.45  fof(f329,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_2))))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f290,f56])).
% 0.21/0.45  fof(f331,plain,(
% 0.21/0.45    spl0_29 <=> empty(relation_dom(relation_dom(relation_dom(sk0_6))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f334,plain,(
% 0.21/0.45    spl0_30 <=> relation(relation_dom(relation_dom(relation_dom(sk0_6))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f336,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(relation_dom(sk0_6))))|spl0_30),
% 0.21/0.45    inference(component_clause,[status(thm)],[f334])).
% 0.21/0.45  fof(f337,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(sk0_6))))|~relation(relation_dom(relation_dom(relation_dom(sk0_6))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f303,f54])).
% 0.21/0.45  fof(f338,plain,(
% 0.21/0.45    spl0_29|~spl0_30),
% 0.21/0.45    inference(split_clause,[status(thm)],[f337,f331,f334])).
% 0.21/0.45  fof(f339,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_6))))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f303,f56])).
% 0.21/0.45  fof(f341,plain,(
% 0.21/0.45    spl0_31 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f344,plain,(
% 0.21/0.45    spl0_32 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f346,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))|spl0_32),
% 0.21/0.45    inference(component_clause,[status(thm)],[f344])).
% 0.21/0.45  fof(f347,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f316,f54])).
% 0.21/0.45  fof(f348,plain,(
% 0.21/0.45    spl0_31|~spl0_32),
% 0.21/0.45    inference(split_clause,[status(thm)],[f347,f341,f344])).
% 0.21/0.45  fof(f349,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f316,f56])).
% 0.21/0.45  fof(f351,plain,(
% 0.21/0.45    spl0_33 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(sk0_2)))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f354,plain,(
% 0.21/0.45    spl0_34 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(sk0_2)))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f356,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(sk0_2)))))|spl0_34),
% 0.21/0.45    inference(component_clause,[status(thm)],[f354])).
% 0.21/0.45  fof(f357,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(relation_dom(sk0_2)))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(sk0_2)))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f329,f54])).
% 0.21/0.45  fof(f358,plain,(
% 0.21/0.45    spl0_33|~spl0_34),
% 0.21/0.45    inference(split_clause,[status(thm)],[f357,f351,f354])).
% 0.21/0.45  fof(f359,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_2)))))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f329,f56])).
% 0.21/0.45  fof(f361,plain,(
% 0.21/0.45    spl0_35 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(sk0_6)))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f364,plain,(
% 0.21/0.45    spl0_36 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(sk0_6)))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f366,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(sk0_6)))))|spl0_36),
% 0.21/0.45    inference(component_clause,[status(thm)],[f364])).
% 0.21/0.45  fof(f367,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(relation_dom(sk0_6)))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(sk0_6)))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f339,f54])).
% 0.21/0.45  fof(f368,plain,(
% 0.21/0.45    spl0_35|~spl0_36),
% 0.21/0.45    inference(split_clause,[status(thm)],[f367,f361,f364])).
% 0.21/0.45  fof(f369,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_6)))))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f339,f56])).
% 0.21/0.45  fof(f371,plain,(
% 0.21/0.45    spl0_37 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f374,plain,(
% 0.21/0.45    spl0_38 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f376,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))|spl0_38),
% 0.21/0.45    inference(component_clause,[status(thm)],[f374])).
% 0.21/0.45  fof(f377,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f349,f54])).
% 0.21/0.45  fof(f378,plain,(
% 0.21/0.45    spl0_37|~spl0_38),
% 0.21/0.45    inference(split_clause,[status(thm)],[f377,f371,f374])).
% 0.21/0.45  fof(f379,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f349,f56])).
% 0.21/0.45  fof(f381,plain,(
% 0.21/0.45    spl0_39 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_2))))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f384,plain,(
% 0.21/0.45    spl0_40 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_2))))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f386,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_2))))))|spl0_40),
% 0.21/0.45    inference(component_clause,[status(thm)],[f384])).
% 0.21/0.45  fof(f387,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_2))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_2))))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f359,f54])).
% 0.21/0.45  fof(f388,plain,(
% 0.21/0.45    spl0_39|~spl0_40),
% 0.21/0.45    inference(split_clause,[status(thm)],[f387,f381,f384])).
% 0.21/0.45  fof(f391,plain,(
% 0.21/0.45    spl0_41 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_6))))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f394,plain,(
% 0.21/0.45    spl0_42 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_6))))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f396,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_6))))))|spl0_42),
% 0.21/0.45    inference(component_clause,[status(thm)],[f394])).
% 0.21/0.45  fof(f397,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_6))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_6))))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f369,f54])).
% 0.21/0.45  fof(f398,plain,(
% 0.21/0.45    spl0_41|~spl0_42),
% 0.21/0.45    inference(split_clause,[status(thm)],[f397,f391,f394])).
% 0.21/0.45  fof(f401,plain,(
% 0.21/0.45    spl0_43 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f404,plain,(
% 0.21/0.45    spl0_44 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f406,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))|spl0_44),
% 0.21/0.45    inference(component_clause,[status(thm)],[f404])).
% 0.21/0.45  fof(f407,plain,(
% 0.21/0.45    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f379,f54])).
% 0.21/0.45  fof(f408,plain,(
% 0.21/0.45    spl0_43|~spl0_44),
% 0.21/0.45    inference(split_clause,[status(thm)],[f407,f401,f404])).
% 0.21/0.45  fof(f418,plain,(
% 0.21/0.45    sk0_6=empty_set),
% 0.21/0.45    inference(resolution,[status(thm)],[f73,f105])).
% 0.21/0.45  fof(f419,plain,(
% 0.21/0.45    sk0_2=empty_set),
% 0.21/0.45    inference(resolution,[status(thm)],[f73,f91])).
% 0.21/0.45  fof(f420,plain,(
% 0.21/0.45    relation_dom(sk0_6)=empty_set),
% 0.21/0.45    inference(resolution,[status(thm)],[f73,f189])).
% 0.21/0.45  fof(f467,plain,(
% 0.21/0.45    function(empty_set)),
% 0.21/0.45    inference(backward_demodulation,[status(thm)],[f419,f92])).
% 0.21/0.45  fof(f471,plain,(
% 0.21/0.45    ![X0]: (empty(X0)|in(sk0_0(X0),X0))),
% 0.21/0.45    inference(resolution,[status(thm)],[f61,f45])).
% 0.21/0.45  fof(f474,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(relation_dom(empty_set))))|spl0_28),
% 0.21/0.45    inference(forward_demodulation,[status(thm)],[f419,f326])).
% 0.21/0.45  fof(f475,plain,(
% 0.21/0.45    $false|~spl0_26|spl0_28),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f474,f312])).
% 0.21/0.45  fof(f476,plain,(
% 0.21/0.45    ~spl0_26|spl0_28),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f475])).
% 0.21/0.45  fof(f478,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(relation_dom(empty_set))))|spl0_30),
% 0.21/0.45    inference(forward_demodulation,[status(thm)],[f418,f336])).
% 0.21/0.45  fof(f479,plain,(
% 0.21/0.45    $false|~spl0_26|spl0_30),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f478,f312])).
% 0.21/0.45  fof(f480,plain,(
% 0.21/0.45    ~spl0_26|spl0_30),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f479])).
% 0.21/0.45  fof(f482,plain,(
% 0.21/0.45    ~empty(relation_dom(relation_dom(relation_dom(empty_set))))|spl0_32),
% 0.21/0.45    inference(resolution,[status(thm)],[f346,f57])).
% 0.21/0.45  fof(f483,plain,(
% 0.21/0.45    $false|spl0_32),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f482,f185])).
% 0.21/0.45  fof(f484,plain,(
% 0.21/0.45    spl0_32),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f483])).
% 0.21/0.45  fof(f485,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))|spl0_34),
% 0.21/0.45    inference(forward_demodulation,[status(thm)],[f419,f356])).
% 0.21/0.45  fof(f486,plain,(
% 0.21/0.45    ~empty(relation_dom(relation_dom(relation_dom(empty_set))))|spl0_34),
% 0.21/0.45    inference(resolution,[status(thm)],[f485,f57])).
% 0.21/0.45  fof(f487,plain,(
% 0.21/0.45    $false|spl0_34),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f486,f185])).
% 0.21/0.45  fof(f488,plain,(
% 0.21/0.45    spl0_34),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f487])).
% 0.21/0.45  fof(f491,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))|spl0_36),
% 0.21/0.45    inference(forward_demodulation,[status(thm)],[f418,f366])).
% 0.21/0.45  fof(f492,plain,(
% 0.21/0.45    ~empty(relation_dom(relation_dom(relation_dom(empty_set))))|spl0_36),
% 0.21/0.45    inference(resolution,[status(thm)],[f491,f57])).
% 0.21/0.45  fof(f493,plain,(
% 0.21/0.45    $false|spl0_36),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f492,f185])).
% 0.21/0.45  fof(f494,plain,(
% 0.21/0.45    spl0_36),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f493])).
% 0.21/0.45  fof(f497,plain,(
% 0.21/0.45    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))|spl0_38),
% 0.21/0.45    inference(resolution,[status(thm)],[f376,f57])).
% 0.21/0.45  fof(f498,plain,(
% 0.21/0.45    $false|spl0_38),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f497,f277])).
% 0.21/0.45  fof(f499,plain,(
% 0.21/0.45    spl0_38),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f498])).
% 0.21/0.45  fof(f500,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))|spl0_40),
% 0.21/0.45    inference(forward_demodulation,[status(thm)],[f419,f386])).
% 0.21/0.45  fof(f501,plain,(
% 0.21/0.45    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))|spl0_40),
% 0.21/0.45    inference(resolution,[status(thm)],[f500,f57])).
% 0.21/0.45  fof(f502,plain,(
% 0.21/0.45    $false|spl0_40),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f501,f277])).
% 0.21/0.45  fof(f503,plain,(
% 0.21/0.45    spl0_40),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f502])).
% 0.21/0.45  fof(f506,plain,(
% 0.21/0.45    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))|spl0_42),
% 0.21/0.45    inference(forward_demodulation,[status(thm)],[f418,f396])).
% 0.21/0.45  fof(f507,plain,(
% 0.21/0.45    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))|spl0_42),
% 0.21/0.45    inference(resolution,[status(thm)],[f506,f57])).
% 0.21/0.45  fof(f508,plain,(
% 0.21/0.45    $false|spl0_42),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f507,f277])).
% 0.21/0.45  fof(f509,plain,(
% 0.21/0.45    spl0_42),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f508])).
% 0.21/0.45  fof(f512,plain,(
% 0.21/0.45    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))|spl0_44),
% 0.21/0.45    inference(resolution,[status(thm)],[f406,f57])).
% 0.21/0.45  fof(f513,plain,(
% 0.21/0.45    $false|spl0_44),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f512,f316])).
% 0.21/0.45  fof(f514,plain,(
% 0.21/0.45    spl0_44),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f513])).
% 0.21/0.45  fof(f517,plain,(
% 0.21/0.45    relation_dom(empty_set)=empty_set),
% 0.21/0.45    inference(forward_demodulation,[status(thm)],[f418,f420])).
% 0.21/0.45  fof(f712,plain,(
% 0.21/0.45    ![X0,X1]: (~in(X0,X1)|~element(X1,powerset(empty_set)))),
% 0.21/0.45    inference(resolution,[status(thm)],[f71,f38])).
% 0.21/0.45  fof(f721,plain,(
% 0.21/0.45    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,X1)))|~function(relation_rng_restriction(X0,X1))|~relation(X1)|~function(X1)|apply(relation_rng_restriction(X0,X1),sk0_0(relation_dom(relation_rng_restriction(X0,X1))))=apply(X1,sk0_0(relation_dom(relation_rng_restriction(X0,X1)))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f471,f164])).
% 0.21/0.45  fof(f722,plain,(
% 0.21/0.45    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,X1)))|~relation(X1)|~function(X1)|apply(relation_rng_restriction(X0,X1),sk0_0(relation_dom(relation_rng_restriction(X0,X1))))=apply(X1,sk0_0(relation_dom(relation_rng_restriction(X0,X1)))))),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f721,f85])).
% 0.21/0.45  fof(f724,plain,(
% 0.21/0.45    ![X0,X1]: (empty(X0)|~element(X0,powerset(X1))|element(sk0_0(X0),X1))),
% 0.21/0.45    inference(resolution,[status(thm)],[f471,f68])).
% 0.21/0.45  fof(f725,plain,(
% 0.21/0.45    ![X0]: (empty(X0)|~in(X0,sk0_0(X0)))),
% 0.21/0.45    inference(resolution,[status(thm)],[f471,f78])).
% 0.21/0.45  fof(f736,plain,(
% 0.21/0.45    ![X0]: (~in(X0,sk0_0(powerset(empty_set))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f712,f45])).
% 0.21/0.45  fof(f738,plain,(
% 0.21/0.45    empty(sk0_0(powerset(empty_set)))),
% 0.21/0.45    inference(resolution,[status(thm)],[f736,f471])).
% 0.21/0.45  fof(f741,plain,(
% 0.21/0.45    sk0_0(powerset(empty_set))=empty_set),
% 0.21/0.45    inference(resolution,[status(thm)],[f738,f73])).
% 0.21/0.45  fof(f747,plain,(
% 0.21/0.45    spl0_46 <=> empty(powerset(empty_set))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f748,plain,(
% 0.21/0.45    empty(powerset(empty_set))|~spl0_46),
% 0.21/0.45    inference(component_clause,[status(thm)],[f747])).
% 0.21/0.45  fof(f750,plain,(
% 0.21/0.45    spl0_47 <=> in(powerset(empty_set),empty_set)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f753,plain,(
% 0.21/0.45    empty(powerset(empty_set))|~in(powerset(empty_set),empty_set)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f741,f725])).
% 0.21/0.45  fof(f754,plain,(
% 0.21/0.45    spl0_46|~spl0_47),
% 0.21/0.45    inference(split_clause,[status(thm)],[f753,f747,f750])).
% 0.21/0.45  fof(f755,plain,(
% 0.21/0.45    spl0_48 <=> in(empty_set,powerset(empty_set))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f758,plain,(
% 0.21/0.45    empty(powerset(empty_set))|in(empty_set,powerset(empty_set))),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f741,f471])).
% 0.21/0.45  fof(f759,plain,(
% 0.21/0.45    spl0_46|spl0_48),
% 0.21/0.45    inference(split_clause,[status(thm)],[f758,f747,f755])).
% 0.21/0.45  fof(f761,plain,(
% 0.21/0.45    $false|~spl0_46),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f748,f52])).
% 0.21/0.45  fof(f762,plain,(
% 0.21/0.45    ~spl0_46),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f761])).
% 0.21/0.45  fof(f766,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~function(relation_rng_restriction(X0,X1))|~relation(X1)|~function(X1)|~in(X2,relation_dom(relation_rng_restriction(X0,X1)))|pd0_0(X2,X1,X0))),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f161,f81])).
% 0.21/0.45  fof(f767,plain,(
% 0.21/0.45    ![X0,X1]: (~function(relation_rng_restriction(X0,X1))|~relation(X1)|~function(X1)|pd0_0(sk0_0(relation_dom(relation_rng_restriction(X0,X1))),X1,X0)|empty(relation_dom(relation_rng_restriction(X0,X1))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f766,f471])).
% 0.21/0.45  fof(f768,plain,(
% 0.21/0.45    ![X0,X1]: (~relation(X0)|~function(X0)|pd0_0(sk0_0(relation_dom(relation_rng_restriction(X1,X0))),X0,X1)|empty(relation_dom(relation_rng_restriction(X1,X0))))),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f767,f85])).
% 0.21/0.45  fof(f769,plain,(
% 0.21/0.45    spl0_49 <=> pd0_0(sk0_13,sk0_11,sk0_12)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f770,plain,(
% 0.21/0.45    pd0_0(sk0_13,sk0_11,sk0_12)|~spl0_49),
% 0.21/0.45    inference(component_clause,[status(thm)],[f769])).
% 0.21/0.45  fof(f772,plain,(
% 0.21/0.45    ~function(relation_rng_restriction(sk0_12,sk0_11))|~relation(sk0_11)|~function(sk0_11)|pd0_0(sk0_13,sk0_11,sk0_12)|~spl0_0),
% 0.21/0.45    inference(resolution,[status(thm)],[f766,f150])).
% 0.21/0.45  fof(f773,plain,(
% 0.21/0.45    ~spl0_7|~spl0_8|~spl0_9|spl0_49|~spl0_0),
% 0.21/0.45    inference(split_clause,[status(thm)],[f772,f192,f195,f198,f769,f149])).
% 0.21/0.45  fof(f774,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~function(relation_rng_restriction(X0,X1))|~relation(X1)|~function(X1)|in(X2,relation_dom(relation_rng_restriction(X0,X1)))|~pd0_0(X2,X1,X0))),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f162,f81])).
% 0.21/0.45  fof(f795,plain,(
% 0.21/0.45    ![X0,X1]: (~relation(X0)|~function(X0)|empty(relation_dom(relation_rng_restriction(X1,X0)))|in(sk0_0(relation_dom(relation_rng_restriction(X1,X0))),relation_dom(X0)))),
% 0.21/0.45    inference(resolution,[status(thm)],[f768,f146])).
% 0.21/0.45  fof(f796,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~relation(relation_rng_restriction(X0,X1))|~function(relation_rng_restriction(X0,X1))|empty(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1))))|~function(relation_rng_restriction(X0,X1))|~relation(X1)|~function(X1)|pd0_0(sk0_0(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1)))),X1,X0))),
% 0.21/0.45    inference(resolution,[status(thm)],[f795,f766])).
% 0.21/0.45  fof(f797,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~relation(relation_rng_restriction(X0,X1))|~function(relation_rng_restriction(X0,X1))|empty(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1))))|~relation(X1)|~function(X1)|pd0_0(sk0_0(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1)))),X1,X0))),
% 0.21/0.45    inference(duplicate_literals_removal,[status(esa)],[f796])).
% 0.21/0.45  fof(f798,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~function(relation_rng_restriction(X0,X1))|empty(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1))))|~relation(X1)|~function(X1)|pd0_0(sk0_0(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1)))),X1,X0))),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f797,f81])).
% 0.21/0.45  fof(f799,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~relation(relation_rng_restriction(X0,X1))|~function(relation_rng_restriction(X0,X1))|empty(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1))))|~function(relation_rng_restriction(X0,X1))|~relation(X1)|~function(X1)|apply(relation_rng_restriction(X0,X1),sk0_0(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1)))))=apply(X1,sk0_0(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1))))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f795,f164])).
% 0.21/0.45  fof(f800,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~relation(relation_rng_restriction(X0,X1))|~function(relation_rng_restriction(X0,X1))|empty(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1))))|~relation(X1)|~function(X1)|apply(relation_rng_restriction(X0,X1),sk0_0(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1)))))=apply(X1,sk0_0(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1))))))),
% 0.21/0.45    inference(duplicate_literals_removal,[status(esa)],[f799])).
% 0.21/0.45  fof(f801,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~function(relation_rng_restriction(X0,X1))|empty(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1))))|~relation(X1)|~function(X1)|apply(relation_rng_restriction(X0,X1),sk0_0(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1)))))=apply(X1,sk0_0(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1))))))),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f800,f81])).
% 0.21/0.45  fof(f802,plain,(
% 0.21/0.45    ![X0,X1]: (~relation(X0)|~function(X0)|empty(relation_dom(relation_rng_restriction(X1,X0)))|element(sk0_0(relation_dom(relation_rng_restriction(X1,X0))),relation_dom(X0)))),
% 0.21/0.45    inference(resolution,[status(thm)],[f795,f118])).
% 0.21/0.45  fof(f803,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~relation(X0)|~function(X0)|empty(relation_dom(relation_rng_restriction(X1,X0)))|~element(relation_dom(X0),powerset(X2))|element(sk0_0(relation_dom(relation_rng_restriction(X1,X0))),X2))),
% 0.21/0.45    inference(resolution,[status(thm)],[f795,f68])).
% 0.21/0.45  fof(f804,plain,(
% 0.21/0.45    ![X0,X1]: (~relation(X0)|~function(X0)|empty(relation_dom(relation_rng_restriction(X1,X0)))|~in(relation_dom(X0),sk0_0(relation_dom(relation_rng_restriction(X1,X0)))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f795,f78])).
% 0.21/0.45  fof(f805,plain,(
% 0.21/0.45    spl0_52 <=> function(empty_set)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f807,plain,(
% 0.21/0.45    ~function(empty_set)|spl0_52),
% 0.21/0.45    inference(component_clause,[status(thm)],[f805])).
% 0.21/0.45  fof(f808,plain,(
% 0.21/0.45    spl0_53 <=> empty(relation_dom(relation_rng_restriction(X0,empty_set)))|in(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),empty_set)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f809,plain,(
% 0.21/0.45    ![X0]: (empty(relation_dom(relation_rng_restriction(X0,empty_set)))|in(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),empty_set)|~spl0_53)),
% 0.21/0.45    inference(component_clause,[status(thm)],[f808])).
% 0.21/0.45  fof(f811,plain,(
% 0.21/0.45    ![X0]: (~relation(empty_set)|~function(empty_set)|empty(relation_dom(relation_rng_restriction(X0,empty_set)))|in(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),empty_set))),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f517,f795])).
% 0.21/0.45  fof(f812,plain,(
% 0.21/0.45    ~spl0_4|~spl0_52|spl0_53),
% 0.21/0.45    inference(split_clause,[status(thm)],[f811,f170,f805,f808])).
% 0.21/0.45  fof(f813,plain,(
% 0.21/0.45    $false|spl0_52),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f807,f467])).
% 0.21/0.45  fof(f814,plain,(
% 0.21/0.45    spl0_52),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f813])).
% 0.21/0.45  fof(f815,plain,(
% 0.21/0.45    ![X0]: (empty(relation_dom(relation_rng_restriction(X0,empty_set)))|~spl0_53)),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f809,f166])).
% 0.21/0.45  fof(f816,plain,(
% 0.21/0.45    ![X0]: (empty(relation_rng_restriction(X0,empty_set))|~relation(relation_rng_restriction(X0,empty_set))|~spl0_53)),
% 0.21/0.45    inference(resolution,[status(thm)],[f815,f54])).
% 0.21/0.45  fof(f819,plain,(
% 0.21/0.45    ![X0]: (relation_dom(relation_rng_restriction(X0,empty_set))=empty_set|~spl0_53)),
% 0.21/0.45    inference(resolution,[status(thm)],[f815,f73])).
% 0.21/0.45  fof(f831,plain,(
% 0.21/0.45    spl0_56 <=> pd0_0(sk0_0(empty_set),empty_set,X0)|empty(relation_dom(relation_rng_restriction(X0,empty_set)))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f834,plain,(
% 0.21/0.45    ![X0]: (~relation(empty_set)|~function(empty_set)|pd0_0(sk0_0(empty_set),empty_set,X0)|empty(relation_dom(relation_rng_restriction(X0,empty_set)))|~spl0_53)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f819,f768])).
% 0.21/0.45  fof(f835,plain,(
% 0.21/0.45    ~spl0_4|~spl0_52|spl0_56|~spl0_53),
% 0.21/0.45    inference(split_clause,[status(thm)],[f834,f170,f805,f831,f808])).
% 0.21/0.45  fof(f836,plain,(
% 0.21/0.45    spl0_57 <=> ~function(relation_rng_restriction(X0,empty_set))|~in(X1,empty_set)|pd0_0(X1,empty_set,X0)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f839,plain,(
% 0.21/0.45    ![X0,X1]: (~function(relation_rng_restriction(X0,empty_set))|~relation(empty_set)|~function(empty_set)|~in(X1,empty_set)|pd0_0(X1,empty_set,X0)|~spl0_53)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f819,f766])).
% 0.21/0.45  fof(f840,plain,(
% 0.21/0.45    spl0_57|~spl0_4|~spl0_52|~spl0_53),
% 0.21/0.45    inference(split_clause,[status(thm)],[f839,f836,f170,f805,f808])).
% 0.21/0.45  fof(f841,plain,(
% 0.21/0.45    spl0_58 <=> ~function(relation_rng_restriction(X0,empty_set))|~in(X1,empty_set)|apply(relation_rng_restriction(X0,empty_set),X1)=apply(empty_set,X1)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f844,plain,(
% 0.21/0.45    ![X0,X1]: (~function(relation_rng_restriction(X0,empty_set))|~relation(empty_set)|~function(empty_set)|~in(X1,empty_set)|apply(relation_rng_restriction(X0,empty_set),X1)=apply(empty_set,X1)|~spl0_53)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f819,f164])).
% 0.21/0.45  fof(f845,plain,(
% 0.21/0.45    spl0_58|~spl0_4|~spl0_52|~spl0_53),
% 0.21/0.45    inference(split_clause,[status(thm)],[f844,f841,f170,f805,f808])).
% 0.21/0.45  fof(f853,plain,(
% 0.21/0.45    spl0_60 <=> empty(relation_rng_restriction(X0,empty_set))|~relation(relation_rng_restriction(X0,empty_set))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f856,plain,(
% 0.21/0.45    ![X0]: (empty(relation_rng_restriction(X0,empty_set))|~relation(relation_rng_restriction(X0,empty_set))|~empty(empty_set)|~spl0_53)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f819,f54])).
% 0.21/0.45  fof(f857,plain,(
% 0.21/0.45    spl0_60|~spl0_3|~spl0_53),
% 0.21/0.45    inference(split_clause,[status(thm)],[f856,f853,f167,f808])).
% 0.21/0.45  fof(f864,plain,(
% 0.21/0.45    spl0_61 <=> empty(relation_rng_restriction(X0,empty_set))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f865,plain,(
% 0.21/0.45    ![X0]: (empty(relation_rng_restriction(X0,empty_set))|~spl0_61)),
% 0.21/0.45    inference(component_clause,[status(thm)],[f864])).
% 0.21/0.45  fof(f867,plain,(
% 0.21/0.45    ![X0]: (empty(relation_rng_restriction(X0,empty_set))|~relation(empty_set)|~spl0_53)),
% 0.21/0.45    inference(resolution,[status(thm)],[f816,f81])).
% 0.21/0.45  fof(f868,plain,(
% 0.21/0.45    spl0_61|~spl0_4|~spl0_53),
% 0.21/0.45    inference(split_clause,[status(thm)],[f867,f864,f170,f808])).
% 0.21/0.45  fof(f872,plain,(
% 0.21/0.45    ![X0]: (relation_rng_restriction(X0,empty_set)=empty_set|~spl0_61)),
% 0.21/0.45    inference(resolution,[status(thm)],[f865,f73])).
% 0.21/0.45  fof(f883,plain,(
% 0.21/0.45    spl0_63 <=> pd0_0(sk0_0(relation_dom(empty_set)),empty_set,X0)|empty(relation_dom(relation_rng_restriction(X0,empty_set)))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f886,plain,(
% 0.21/0.45    ![X0]: (~relation(empty_set)|~function(empty_set)|pd0_0(sk0_0(relation_dom(empty_set)),empty_set,X0)|empty(relation_dom(relation_rng_restriction(X0,empty_set)))|~spl0_61)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f872,f768])).
% 0.21/0.45  fof(f887,plain,(
% 0.21/0.45    ~spl0_4|~spl0_52|spl0_63|~spl0_61),
% 0.21/0.45    inference(split_clause,[status(thm)],[f886,f170,f805,f883,f864])).
% 0.21/0.45  fof(f888,plain,(
% 0.21/0.45    spl0_64 <=> ~function(relation_rng_restriction(X0,empty_set))|~in(X1,relation_dom(empty_set))|pd0_0(X1,empty_set,X0)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f891,plain,(
% 0.21/0.45    ![X0,X1]: (~function(relation_rng_restriction(X0,empty_set))|~relation(empty_set)|~function(empty_set)|~in(X1,relation_dom(empty_set))|pd0_0(X1,empty_set,X0)|~spl0_61)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f872,f766])).
% 0.21/0.45  fof(f892,plain,(
% 0.21/0.45    spl0_64|~spl0_4|~spl0_52|~spl0_61),
% 0.21/0.45    inference(split_clause,[status(thm)],[f891,f888,f170,f805,f864])).
% 0.21/0.45  fof(f893,plain,(
% 0.21/0.45    spl0_65 <=> ~function(relation_rng_restriction(X0,empty_set))|~in(X1,relation_dom(empty_set))|apply(relation_rng_restriction(X0,empty_set),X1)=apply(empty_set,X1)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f896,plain,(
% 0.21/0.45    ![X0,X1]: (~function(relation_rng_restriction(X0,empty_set))|~relation(empty_set)|~function(empty_set)|~in(X1,relation_dom(empty_set))|apply(relation_rng_restriction(X0,empty_set),X1)=apply(empty_set,X1)|~spl0_61)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f872,f164])).
% 0.21/0.45  fof(f897,plain,(
% 0.21/0.45    spl0_65|~spl0_4|~spl0_52|~spl0_61),
% 0.21/0.45    inference(split_clause,[status(thm)],[f896,f893,f170,f805,f864])).
% 0.21/0.45  fof(f925,plain,(
% 0.21/0.45    spl0_67 <=> empty(relation_dom(relation_rng_restriction(X0,empty_set)))|element(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),empty_set)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f928,plain,(
% 0.21/0.45    ![X0]: (~relation(empty_set)|~function(empty_set)|empty(relation_dom(relation_rng_restriction(X0,empty_set)))|element(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),empty_set))),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f517,f802])).
% 0.21/0.45  fof(f929,plain,(
% 0.21/0.45    ~spl0_4|~spl0_52|spl0_67),
% 0.21/0.45    inference(split_clause,[status(thm)],[f928,f170,f805,f925])).
% 0.21/0.45  fof(f934,plain,(
% 0.21/0.45    spl0_68 <=> empty(relation_dom(relation_rng_restriction(X0,empty_set)))|~in(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f937,plain,(
% 0.21/0.45    ![X0]: (~relation(empty_set)|~function(empty_set)|empty(relation_dom(relation_rng_restriction(X0,empty_set)))|~in(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,empty_set)))))),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f517,f804])).
% 0.21/0.45  fof(f938,plain,(
% 0.21/0.45    ~spl0_4|~spl0_52|spl0_68),
% 0.21/0.45    inference(split_clause,[status(thm)],[f937,f170,f805,f934])).
% 0.21/0.45  fof(f949,plain,(
% 0.21/0.45    spl0_70 <=> empty(relation_dom(relation_rng_restriction(X0,empty_set)))|~element(empty_set,powerset(X1))|element(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),X1)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f952,plain,(
% 0.21/0.45    ![X0,X1]: (~relation(empty_set)|~function(empty_set)|empty(relation_dom(relation_rng_restriction(X0,empty_set)))|~element(empty_set,powerset(X1))|element(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),X1))),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f517,f803])).
% 0.21/0.45  fof(f953,plain,(
% 0.21/0.45    ~spl0_4|~spl0_52|spl0_70),
% 0.21/0.45    inference(split_clause,[status(thm)],[f952,f170,f805,f949])).
% 0.21/0.45  fof(f958,plain,(
% 0.21/0.45    ![X0,X1,X2]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))|~relation(X2)|~function(X2)|pd0_0(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2)))),X2,X1))),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f798,f85])).
% 0.21/0.45  fof(f959,plain,(
% 0.21/0.45    ![X0,X1,X2]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))|~relation(X2)|~function(X2)|~function(relation_rng_restriction(X1,X2))|~relation(X2)|~function(X2)|in(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2)))),relation_dom(relation_rng_restriction(X1,X2))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f958,f774])).
% 0.21/0.45  fof(f960,plain,(
% 0.21/0.45    ![X0,X1,X2]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))|~relation(X2)|~function(X2)|~function(relation_rng_restriction(X1,X2))|in(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2)))),relation_dom(relation_rng_restriction(X1,X2))))),
% 0.21/0.45    inference(duplicate_literals_removal,[status(esa)],[f959])).
% 0.21/0.45  fof(f961,plain,(
% 0.21/0.45    ![X0,X1,X2]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))|~relation(X2)|~function(X2)|in(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2)))),relation_dom(relation_rng_restriction(X1,X2))))),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f960,f85])).
% 0.21/0.45  fof(f962,plain,(
% 0.21/0.45    ![X0,X1,X2]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))|~relation(X2)|~function(X2)|in(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2)))),relation_dom(X2)))),
% 0.21/0.45    inference(resolution,[status(thm)],[f958,f146])).
% 0.21/0.45  fof(f963,plain,(
% 0.21/0.45    spl0_71 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|pd0_0(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),empty_set,X1)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f966,plain,(
% 0.21/0.45    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~relation(empty_set)|~function(empty_set)|pd0_0(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),empty_set,X1)|~spl0_61)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f872,f958])).
% 0.21/0.45  fof(f967,plain,(
% 0.21/0.45    spl0_71|~spl0_4|~spl0_52|~spl0_61),
% 0.21/0.45    inference(split_clause,[status(thm)],[f966,f963,f170,f805,f864])).
% 0.21/0.45  fof(f979,plain,(
% 0.21/0.45    ![X0,X1,X2]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))|~relation(X2)|~function(X2)|element(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2)))),relation_dom(X2)))),
% 0.21/0.45    inference(resolution,[status(thm)],[f962,f118])).
% 0.21/0.45  fof(f980,plain,(
% 0.21/0.45    ![X0,X1,X2,X3]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))|~relation(X2)|~function(X2)|~element(relation_dom(X2),powerset(X3))|element(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2)))),X3))),
% 0.21/0.45    inference(resolution,[status(thm)],[f962,f68])).
% 0.21/0.45  fof(f981,plain,(
% 0.21/0.45    ![X0,X1,X2]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))|~relation(X2)|~function(X2)|~in(relation_dom(X2),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f962,f78])).
% 0.21/0.45  fof(f982,plain,(
% 0.21/0.45    spl0_72 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|in(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),relation_dom(empty_set))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f985,plain,(
% 0.21/0.45    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~relation(empty_set)|~function(empty_set)|in(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),relation_dom(empty_set))|~spl0_61)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f872,f962])).
% 0.21/0.45  fof(f986,plain,(
% 0.21/0.45    spl0_72|~spl0_4|~spl0_52|~spl0_61),
% 0.21/0.45    inference(split_clause,[status(thm)],[f985,f982,f170,f805,f864])).
% 0.21/0.45  fof(f987,plain,(
% 0.21/0.45    spl0_73 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|in(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))),empty_set)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f990,plain,(
% 0.21/0.45    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~relation(empty_set)|~function(empty_set)|in(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))),empty_set))),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f517,f962])).
% 0.21/0.45  fof(f991,plain,(
% 0.21/0.45    spl0_73|~spl0_4|~spl0_52),
% 0.21/0.45    inference(split_clause,[status(thm)],[f990,f987,f170,f805])).
% 0.21/0.45  fof(f1005,plain,(
% 0.21/0.45    spl0_74 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|element(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),relation_dom(empty_set))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1008,plain,(
% 0.21/0.45    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~relation(empty_set)|~function(empty_set)|element(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),relation_dom(empty_set))|~spl0_61)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f872,f979])).
% 0.21/0.45  fof(f1009,plain,(
% 0.21/0.45    spl0_74|~spl0_4|~spl0_52|~spl0_61),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1008,f1005,f170,f805,f864])).
% 0.21/0.45  fof(f1010,plain,(
% 0.21/0.45    spl0_75 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|element(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))),empty_set)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1013,plain,(
% 0.21/0.45    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~relation(empty_set)|~function(empty_set)|element(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))),empty_set))),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f517,f979])).
% 0.21/0.45  fof(f1014,plain,(
% 0.21/0.45    spl0_75|~spl0_4|~spl0_52),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1013,f1010,f170,f805])).
% 0.21/0.45  fof(f1027,plain,(
% 0.21/0.45    spl0_76 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~in(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1030,plain,(
% 0.21/0.45    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~relation(empty_set)|~function(empty_set)|~in(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))))),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f517,f981])).
% 0.21/0.45  fof(f1031,plain,(
% 0.21/0.45    spl0_76|~spl0_4|~spl0_52),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1030,f1027,f170,f805])).
% 0.21/0.45  fof(f1032,plain,(
% 0.21/0.45    spl0_77 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~in(relation_dom(empty_set),sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1035,plain,(
% 0.21/0.45    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~relation(empty_set)|~function(empty_set)|~in(relation_dom(empty_set),sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))|~spl0_61)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f872,f981])).
% 0.21/0.45  fof(f1036,plain,(
% 0.21/0.45    spl0_77|~spl0_4|~spl0_52|~spl0_61),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1035,f1032,f170,f805,f864])).
% 0.21/0.45  fof(f1054,plain,(
% 0.21/0.45    ![X0,X1,X2]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))|~relation(X2)|~function(X2)|element(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2)))),relation_dom(relation_rng_restriction(X1,X2))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f961,f118])).
% 0.21/0.45  fof(f1055,plain,(
% 0.21/0.45    ![X0,X1,X2,X3]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))|~relation(X2)|~function(X2)|~element(relation_dom(relation_rng_restriction(X1,X2)),powerset(X3))|element(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2)))),X3))),
% 0.21/0.45    inference(resolution,[status(thm)],[f961,f68])).
% 0.21/0.45  fof(f1056,plain,(
% 0.21/0.45    ![X0,X1,X2]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))|~relation(X2)|~function(X2)|~in(relation_dom(relation_rng_restriction(X1,X2)),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f961,f78])).
% 0.21/0.45  fof(f1057,plain,(
% 0.21/0.45    spl0_78 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|in(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),relation_dom(relation_rng_restriction(X1,empty_set)))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1060,plain,(
% 0.21/0.45    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~relation(empty_set)|~function(empty_set)|in(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),relation_dom(relation_rng_restriction(X1,empty_set)))|~spl0_61)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f872,f961])).
% 0.21/0.45  fof(f1061,plain,(
% 0.21/0.45    spl0_78|~spl0_4|~spl0_52|~spl0_61),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1060,f1057,f170,f805,f864])).
% 0.21/0.45  fof(f1062,plain,(
% 0.21/0.45    spl0_79 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|in(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))),relation_dom(empty_set))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1065,plain,(
% 0.21/0.45    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~relation(empty_set)|~function(empty_set)|in(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))),relation_dom(empty_set))|~spl0_61)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f872,f961])).
% 0.21/0.45  fof(f1066,plain,(
% 0.21/0.45    spl0_79|~spl0_4|~spl0_52|~spl0_61),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1065,f1062,f170,f805,f864])).
% 0.21/0.45  fof(f1081,plain,(
% 0.21/0.45    ![X0,X1]: (~relation(X0)|~function(X0)|apply(relation_rng_restriction(X1,X0),sk0_0(relation_dom(relation_rng_restriction(X1,X0))))=apply(X0,sk0_0(relation_dom(relation_rng_restriction(X1,X0))))|empty(relation_rng_restriction(X1,X0))|~relation(relation_rng_restriction(X1,X0)))),
% 0.21/0.45    inference(resolution,[status(thm)],[f722,f54])).
% 0.21/0.45  fof(f1082,plain,(
% 0.21/0.45    ![X0,X1]: (~relation(X0)|~function(X0)|apply(relation_rng_restriction(X1,X0),sk0_0(relation_dom(relation_rng_restriction(X1,X0))))=apply(X0,sk0_0(relation_dom(relation_rng_restriction(X1,X0))))|empty(relation_rng_restriction(X1,X0)))),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f1081,f81])).
% 0.21/0.45  fof(f1085,plain,(
% 0.21/0.45    ![X0,X1]: (~relation(X0)|~function(X0)|apply(relation_rng_restriction(X1,X0),sk0_0(relation_dom(relation_rng_restriction(X1,X0))))=apply(X0,sk0_0(relation_dom(relation_rng_restriction(X1,X0))))|relation_dom(relation_rng_restriction(X1,X0))=empty_set)),
% 0.21/0.45    inference(resolution,[status(thm)],[f722,f73])).
% 0.21/0.45  fof(f1086,plain,(
% 0.21/0.45    ![X0,X1]: (~relation(X0)|~function(X0)|apply(relation_rng_restriction(X1,X0),sk0_0(relation_dom(relation_rng_restriction(X1,X0))))=apply(X0,sk0_0(relation_dom(relation_rng_restriction(X1,X0))))|empty(relation_dom(relation_dom(relation_rng_restriction(X1,X0)))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f722,f56])).
% 0.21/0.45  fof(f1087,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~relation(X0)|~function(X0)|apply(relation_rng_restriction(X1,X0),sk0_0(relation_dom(relation_rng_restriction(X1,X0))))=apply(X0,sk0_0(relation_dom(relation_rng_restriction(X1,X0))))|~in(X2,relation_dom(relation_rng_restriction(X1,X0))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f722,f121])).
% 0.21/0.45  fof(f1095,plain,(
% 0.21/0.45    ![X0,X1]: (~relation(X0)|~function(X0)|apply(relation_rng_restriction(X1,X0),sk0_0(relation_dom(relation_rng_restriction(X1,X0))))=apply(X0,sk0_0(relation_dom(relation_rng_restriction(X1,X0))))|relation_rng_restriction(X1,X0)=empty_set)),
% 0.21/0.45    inference(resolution,[status(thm)],[f1082,f73])).
% 0.21/0.45  fof(f1117,plain,(
% 0.21/0.45    spl0_84 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|element(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),relation_dom(relation_rng_restriction(X1,empty_set)))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1120,plain,(
% 0.21/0.45    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~relation(empty_set)|~function(empty_set)|element(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),relation_dom(relation_rng_restriction(X1,empty_set)))|~spl0_61)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f872,f1054])).
% 0.21/0.45  fof(f1121,plain,(
% 0.21/0.45    spl0_84|~spl0_4|~spl0_52|~spl0_61),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1120,f1117,f170,f805,f864])).
% 0.21/0.45  fof(f1122,plain,(
% 0.21/0.45    spl0_85 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|element(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))),relation_dom(empty_set))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1125,plain,(
% 0.21/0.45    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~relation(empty_set)|~function(empty_set)|element(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))),relation_dom(empty_set))|~spl0_61)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f872,f1054])).
% 0.21/0.45  fof(f1126,plain,(
% 0.21/0.45    spl0_85|~spl0_4|~spl0_52|~spl0_61),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1125,f1122,f170,f805,f864])).
% 0.21/0.45  fof(f1141,plain,(
% 0.21/0.45    spl0_86 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~in(relation_dom(empty_set),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1144,plain,(
% 0.21/0.45    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~relation(empty_set)|~function(empty_set)|~in(relation_dom(empty_set),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))))|~spl0_61)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f872,f1056])).
% 0.21/0.45  fof(f1145,plain,(
% 0.21/0.45    spl0_86|~spl0_4|~spl0_52|~spl0_61),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1144,f1141,f170,f805,f864])).
% 0.21/0.45  fof(f1146,plain,(
% 0.21/0.45    spl0_87 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~in(relation_dom(relation_rng_restriction(X1,empty_set)),sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1149,plain,(
% 0.21/0.45    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~relation(empty_set)|~function(empty_set)|~in(relation_dom(relation_rng_restriction(X1,empty_set)),sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))|~spl0_61)),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f872,f1056])).
% 0.21/0.45  fof(f1150,plain,(
% 0.21/0.45    spl0_87|~spl0_4|~spl0_52|~spl0_61),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1149,f1146,f170,f805,f864])).
% 0.21/0.45  fof(f1165,plain,(
% 0.21/0.45    spl0_88 <=> apply(relation_rng_restriction(X0,empty_set),sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))=apply(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))|relation_rng_restriction(X0,empty_set)=empty_set),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1168,plain,(
% 0.21/0.45    ![X0]: (~relation(empty_set)|apply(relation_rng_restriction(X0,empty_set),sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))=apply(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))|relation_rng_restriction(X0,empty_set)=empty_set)),
% 0.21/0.45    inference(resolution,[status(thm)],[f1095,f467])).
% 0.21/0.45  fof(f1169,plain,(
% 0.21/0.45    ~spl0_4|spl0_88),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1168,f170,f1165])).
% 0.21/0.45  fof(f1170,plain,(
% 0.21/0.45    spl0_89 <=> relation(sk0_3)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1172,plain,(
% 0.21/0.45    ~relation(sk0_3)|spl0_89),
% 0.21/0.45    inference(component_clause,[status(thm)],[f1170])).
% 0.21/0.45  fof(f1173,plain,(
% 0.21/0.45    spl0_90 <=> apply(relation_rng_restriction(X0,sk0_3),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_3))))=apply(sk0_3,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_3))))|relation_rng_restriction(X0,sk0_3)=empty_set),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1176,plain,(
% 0.21/0.45    ![X0]: (~relation(sk0_3)|apply(relation_rng_restriction(X0,sk0_3),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_3))))=apply(sk0_3,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_3))))|relation_rng_restriction(X0,sk0_3)=empty_set)),
% 0.21/0.45    inference(resolution,[status(thm)],[f1095,f95])).
% 0.21/0.45  fof(f1177,plain,(
% 0.21/0.45    ~spl0_89|spl0_90),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1176,f1170,f1173])).
% 0.21/0.45  fof(f1178,plain,(
% 0.21/0.45    spl0_91 <=> relation(sk0_1)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1180,plain,(
% 0.21/0.45    ~relation(sk0_1)|spl0_91),
% 0.21/0.45    inference(component_clause,[status(thm)],[f1178])).
% 0.21/0.45  fof(f1181,plain,(
% 0.21/0.45    spl0_92 <=> apply(relation_rng_restriction(X0,sk0_1),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_1))))=apply(sk0_1,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_1))))|relation_rng_restriction(X0,sk0_1)=empty_set),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1184,plain,(
% 0.21/0.45    ![X0]: (~relation(sk0_1)|apply(relation_rng_restriction(X0,sk0_1),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_1))))=apply(sk0_1,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_1))))|relation_rng_restriction(X0,sk0_1)=empty_set)),
% 0.21/0.45    inference(resolution,[status(thm)],[f1095,f88])).
% 0.21/0.45  fof(f1185,plain,(
% 0.21/0.45    ~spl0_91|spl0_92),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1184,f1178,f1181])).
% 0.21/0.45  fof(f1186,plain,(
% 0.21/0.45    spl0_93 <=> relation(relation_rng_restriction(sk0_12,sk0_11))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1188,plain,(
% 0.21/0.45    ~relation(relation_rng_restriction(sk0_12,sk0_11))|spl0_93),
% 0.21/0.45    inference(component_clause,[status(thm)],[f1186])).
% 0.21/0.45  fof(f1189,plain,(
% 0.21/0.45    spl0_94 <=> apply(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)))))=apply(relation_rng_restriction(sk0_12,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)))))|relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11))=empty_set),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1192,plain,(
% 0.21/0.45    ![X0]: (~relation(relation_rng_restriction(sk0_12,sk0_11))|apply(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)))))=apply(relation_rng_restriction(sk0_12,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)))))|relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11))=empty_set|~spl0_7)),
% 0.21/0.45    inference(resolution,[status(thm)],[f1095,f193])).
% 0.21/0.45  fof(f1193,plain,(
% 0.21/0.45    ~spl0_93|spl0_94|~spl0_7),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1192,f1186,f1189,f192])).
% 0.21/0.45  fof(f1196,plain,(
% 0.21/0.45    spl0_95 <=> apply(relation_rng_restriction(X0,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11))))=apply(sk0_11,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11))))|relation_rng_restriction(X0,sk0_11)=empty_set),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1199,plain,(
% 0.21/0.45    ![X0]: (~relation(sk0_11)|apply(relation_rng_restriction(X0,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11))))=apply(sk0_11,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11))))|relation_rng_restriction(X0,sk0_11)=empty_set)),
% 0.21/0.45    inference(resolution,[status(thm)],[f1095,f127])).
% 0.21/0.45  fof(f1200,plain,(
% 0.21/0.45    ~spl0_8|spl0_95),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1199,f195,f1196])).
% 0.21/0.45  fof(f1203,plain,(
% 0.21/0.45    $false|spl0_91),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f1180,f87])).
% 0.21/0.45  fof(f1204,plain,(
% 0.21/0.45    spl0_91),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f1203])).
% 0.21/0.45  fof(f1205,plain,(
% 0.21/0.45    $false|spl0_89),
% 0.21/0.45    inference(forward_subsumption_resolution,[status(thm)],[f1172,f94])).
% 0.21/0.45  fof(f1206,plain,(
% 0.21/0.45    spl0_89),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f1205])).
% 0.21/0.45  fof(f1217,plain,(
% 0.21/0.45    spl0_96 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~element(empty_set,powerset(X2))|element(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))),X2)),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1220,plain,(
% 0.21/0.45    ![X0,X1,X2]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~relation(empty_set)|~function(empty_set)|~element(empty_set,powerset(X2))|element(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))),X2))),
% 0.21/0.45    inference(paramodulation,[status(thm)],[f517,f980])).
% 0.21/0.45  fof(f1221,plain,(
% 0.21/0.45    spl0_96|~spl0_4|~spl0_52),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1220,f1217,f170,f805])).
% 0.21/0.45  fof(f1228,plain,(
% 0.21/0.45    spl0_97 <=> apply(relation_rng_restriction(X0,empty_set),sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))=apply(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))|relation_dom(relation_rng_restriction(X0,empty_set))=empty_set),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1231,plain,(
% 0.21/0.45    ![X0]: (~relation(empty_set)|apply(relation_rng_restriction(X0,empty_set),sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))=apply(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))|relation_dom(relation_rng_restriction(X0,empty_set))=empty_set)),
% 0.21/0.45    inference(resolution,[status(thm)],[f1085,f467])).
% 0.21/0.45  fof(f1232,plain,(
% 0.21/0.45    ~spl0_4|spl0_97),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1231,f170,f1228])).
% 0.21/0.45  fof(f1233,plain,(
% 0.21/0.45    spl0_98 <=> apply(relation_rng_restriction(X0,sk0_3),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_3))))=apply(sk0_3,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_3))))|relation_dom(relation_rng_restriction(X0,sk0_3))=empty_set),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1236,plain,(
% 0.21/0.45    ![X0]: (~relation(sk0_3)|apply(relation_rng_restriction(X0,sk0_3),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_3))))=apply(sk0_3,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_3))))|relation_dom(relation_rng_restriction(X0,sk0_3))=empty_set)),
% 0.21/0.45    inference(resolution,[status(thm)],[f1085,f95])).
% 0.21/0.45  fof(f1237,plain,(
% 0.21/0.45    ~spl0_89|spl0_98),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1236,f1170,f1233])).
% 0.21/0.45  fof(f1238,plain,(
% 0.21/0.45    spl0_99 <=> apply(relation_rng_restriction(X0,sk0_1),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_1))))=apply(sk0_1,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_1))))|relation_dom(relation_rng_restriction(X0,sk0_1))=empty_set),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1241,plain,(
% 0.21/0.45    ![X0]: (~relation(sk0_1)|apply(relation_rng_restriction(X0,sk0_1),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_1))))=apply(sk0_1,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_1))))|relation_dom(relation_rng_restriction(X0,sk0_1))=empty_set)),
% 0.21/0.45    inference(resolution,[status(thm)],[f1085,f88])).
% 0.21/0.45  fof(f1242,plain,(
% 0.21/0.45    ~spl0_91|spl0_99),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1241,f1178,f1238])).
% 0.21/0.45  fof(f1243,plain,(
% 0.21/0.45    spl0_100 <=> apply(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)))))=apply(relation_rng_restriction(sk0_12,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)))))|relation_dom(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)))=empty_set),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1246,plain,(
% 0.21/0.45    ![X0]: (~relation(relation_rng_restriction(sk0_12,sk0_11))|apply(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)))))=apply(relation_rng_restriction(sk0_12,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)))))|relation_dom(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)))=empty_set|~spl0_7)),
% 0.21/0.45    inference(resolution,[status(thm)],[f1085,f193])).
% 0.21/0.45  fof(f1247,plain,(
% 0.21/0.45    ~spl0_93|spl0_100|~spl0_7),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1246,f1186,f1243,f192])).
% 0.21/0.45  fof(f1250,plain,(
% 0.21/0.45    spl0_101 <=> apply(relation_rng_restriction(X0,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11))))=apply(sk0_11,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11))))|relation_dom(relation_rng_restriction(X0,sk0_11))=empty_set),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1253,plain,(
% 0.21/0.45    ![X0]: (~relation(sk0_11)|apply(relation_rng_restriction(X0,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11))))=apply(sk0_11,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11))))|relation_dom(relation_rng_restriction(X0,sk0_11))=empty_set)),
% 0.21/0.45    inference(resolution,[status(thm)],[f1085,f127])).
% 0.21/0.45  fof(f1254,plain,(
% 0.21/0.45    ~spl0_8|spl0_101),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1253,f195,f1250])).
% 0.21/0.45  fof(f1263,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~relation(X0)|~function(X0)|apply(relation_rng_restriction(X1,X0),sk0_0(relation_dom(relation_rng_restriction(X1,X0))))=apply(X0,sk0_0(relation_dom(relation_rng_restriction(X1,X0))))|empty(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X1,X0))))|~relation(X0)|~function(X0))),
% 0.21/0.45    inference(resolution,[status(thm)],[f1087,f961])).
% 0.21/0.45  fof(f1264,plain,(
% 0.21/0.45    ![X0,X1,X2]: (~relation(X0)|~function(X0)|apply(relation_rng_restriction(X1,X0),sk0_0(relation_dom(relation_rng_restriction(X1,X0))))=apply(X0,sk0_0(relation_dom(relation_rng_restriction(X1,X0))))|empty(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X1,X0)))))),
% 0.21/0.45    inference(duplicate_literals_removal,[status(esa)],[f1263])).
% 0.21/0.45  fof(f1275,plain,(
% 0.21/0.45    spl0_103 <=> apply(relation_rng_restriction(X0,empty_set),sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))=apply(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))|empty(relation_dom(relation_dom(relation_rng_restriction(X0,empty_set))))),
% 0.21/0.45    introduced(split_symbol_definition)).
% 0.21/0.45  fof(f1278,plain,(
% 0.21/0.45    ![X0]: (~relation(empty_set)|apply(relation_rng_restriction(X0,empty_set),sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))=apply(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))|empty(relation_dom(relation_dom(relation_rng_restriction(X0,empty_set)))))),
% 0.21/0.45    inference(resolution,[status(thm)],[f1086,f467])).
% 0.21/0.45  fof(f1279,plain,(
% 0.21/0.45    ~spl0_4|spl0_103),
% 0.21/0.45    inference(split_clause,[status(thm)],[f1278,f170,f1275])).
% 0.21/0.46  fof(f1280,plain,(
% 0.21/0.46    spl0_104 <=> apply(relation_rng_restriction(X0,sk0_3),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_3))))=apply(sk0_3,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_3))))|empty(relation_dom(relation_dom(relation_rng_restriction(X0,sk0_3))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1283,plain,(
% 0.21/0.46    ![X0]: (~relation(sk0_3)|apply(relation_rng_restriction(X0,sk0_3),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_3))))=apply(sk0_3,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_3))))|empty(relation_dom(relation_dom(relation_rng_restriction(X0,sk0_3)))))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1086,f95])).
% 0.21/0.46  fof(f1284,plain,(
% 0.21/0.46    ~spl0_89|spl0_104),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1283,f1170,f1280])).
% 0.21/0.46  fof(f1285,plain,(
% 0.21/0.46    spl0_105 <=> apply(relation_rng_restriction(X0,sk0_1),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_1))))=apply(sk0_1,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_1))))|empty(relation_dom(relation_dom(relation_rng_restriction(X0,sk0_1))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1288,plain,(
% 0.21/0.46    ![X0]: (~relation(sk0_1)|apply(relation_rng_restriction(X0,sk0_1),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_1))))=apply(sk0_1,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_1))))|empty(relation_dom(relation_dom(relation_rng_restriction(X0,sk0_1)))))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1086,f88])).
% 0.21/0.46  fof(f1289,plain,(
% 0.21/0.46    ~spl0_91|spl0_105),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1288,f1178,f1285])).
% 0.21/0.46  fof(f1290,plain,(
% 0.21/0.46    spl0_106 <=> apply(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)))))=apply(relation_rng_restriction(sk0_12,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)))))|empty(relation_dom(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1293,plain,(
% 0.21/0.46    ![X0]: (~relation(relation_rng_restriction(sk0_12,sk0_11))|apply(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)))))=apply(relation_rng_restriction(sk0_12,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)))))|empty(relation_dom(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11)))))|~spl0_7)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1086,f193])).
% 0.21/0.46  fof(f1294,plain,(
% 0.21/0.46    ~spl0_93|spl0_106|~spl0_7),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1293,f1186,f1290,f192])).
% 0.21/0.46  fof(f1297,plain,(
% 0.21/0.46    spl0_107 <=> apply(relation_rng_restriction(X0,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11))))=apply(sk0_11,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11))))|empty(relation_dom(relation_dom(relation_rng_restriction(X0,sk0_11))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1300,plain,(
% 0.21/0.46    ![X0]: (~relation(sk0_11)|apply(relation_rng_restriction(X0,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11))))=apply(sk0_11,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11))))|empty(relation_dom(relation_dom(relation_rng_restriction(X0,sk0_11)))))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1086,f127])).
% 0.21/0.46  fof(f1301,plain,(
% 0.21/0.46    ~spl0_8|spl0_107),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1300,f195,f1297])).
% 0.21/0.46  fof(f1308,plain,(
% 0.21/0.46    spl0_108 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~element(relation_dom(empty_set),powerset(X2))|element(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))),X2)),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1311,plain,(
% 0.21/0.46    ![X0,X1,X2]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~relation(empty_set)|~function(empty_set)|~element(relation_dom(empty_set),powerset(X2))|element(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))),X2)|~spl0_61)),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f872,f1055])).
% 0.21/0.46  fof(f1312,plain,(
% 0.21/0.46    spl0_108|~spl0_4|~spl0_52|~spl0_61),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1311,f1308,f170,f805,f864])).
% 0.21/0.46  fof(f1320,plain,(
% 0.21/0.46    ![X0,X1,X2]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))|~relation(X2)|~function(X2)|apply(relation_rng_restriction(X1,X2),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2)))))=apply(X2,sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))))),
% 0.21/0.46    inference(forward_subsumption_resolution,[status(thm)],[f801,f85])).
% 0.21/0.46  fof(f1321,plain,(
% 0.21/0.46    spl0_109 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|apply(relation_rng_restriction(X1,empty_set),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))))=apply(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1324,plain,(
% 0.21/0.46    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~relation(empty_set)|apply(relation_rng_restriction(X1,empty_set),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set)))))=apply(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1320,f467])).
% 0.21/0.46  fof(f1325,plain,(
% 0.21/0.46    spl0_109|~spl0_4),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1324,f1321,f170])).
% 0.21/0.46  fof(f1326,plain,(
% 0.21/0.46    spl0_110 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_3))))|apply(relation_rng_restriction(X1,sk0_3),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_3)))))=apply(sk0_3,sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_3)))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1329,plain,(
% 0.21/0.46    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_3))))|~relation(sk0_3)|apply(relation_rng_restriction(X1,sk0_3),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_3)))))=apply(sk0_3,sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_3))))))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1320,f95])).
% 0.21/0.46  fof(f1330,plain,(
% 0.21/0.46    spl0_110|~spl0_89),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1329,f1326,f1170])).
% 0.21/0.46  fof(f1331,plain,(
% 0.21/0.46    spl0_111 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_1))))|apply(relation_rng_restriction(X1,sk0_1),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_1)))))=apply(sk0_1,sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_1)))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1334,plain,(
% 0.21/0.46    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_1))))|~relation(sk0_1)|apply(relation_rng_restriction(X1,sk0_1),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_1)))))=apply(sk0_1,sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_1))))))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1320,f88])).
% 0.21/0.46  fof(f1335,plain,(
% 0.21/0.46    spl0_111|~spl0_91),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1334,f1331,f1178])).
% 0.21/0.46  fof(f1336,plain,(
% 0.21/0.46    spl0_112 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,relation_rng_restriction(sk0_12,sk0_11)))))|apply(relation_rng_restriction(X1,relation_rng_restriction(sk0_12,sk0_11)),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,relation_rng_restriction(sk0_12,sk0_11))))))=apply(relation_rng_restriction(sk0_12,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,relation_rng_restriction(sk0_12,sk0_11))))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1339,plain,(
% 0.21/0.46    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,relation_rng_restriction(sk0_12,sk0_11)))))|~relation(relation_rng_restriction(sk0_12,sk0_11))|apply(relation_rng_restriction(X1,relation_rng_restriction(sk0_12,sk0_11)),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,relation_rng_restriction(sk0_12,sk0_11))))))=apply(relation_rng_restriction(sk0_12,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,relation_rng_restriction(sk0_12,sk0_11))))))|~spl0_7)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1320,f193])).
% 0.21/0.46  fof(f1340,plain,(
% 0.21/0.46    spl0_112|~spl0_93|~spl0_7),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1339,f1336,f1186,f192])).
% 0.21/0.46  fof(f1343,plain,(
% 0.21/0.46    spl0_113 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_11))))|apply(relation_rng_restriction(X1,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_11)))))=apply(sk0_11,sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_11)))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1346,plain,(
% 0.21/0.46    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_11))))|~relation(sk0_11)|apply(relation_rng_restriction(X1,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_11)))))=apply(sk0_11,sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_11))))))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1320,f127])).
% 0.21/0.46  fof(f1347,plain,(
% 0.21/0.46    spl0_113|~spl0_8),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1346,f1343,f195])).
% 0.21/0.46  fof(f1366,plain,(
% 0.21/0.46    ![X0,X1,X2]: (in(apply(X0,sk0_0(relation_dom(relation_rng_restriction(X1,relation_rng_restriction(X2,X0))))),X2)|empty(relation_dom(relation_rng_restriction(X1,relation_rng_restriction(X2,X0))))|~relation(X0)|~function(X0))),
% 0.21/0.46    inference(resolution,[status(thm)],[f147,f958])).
% 0.21/0.46  fof(f1367,plain,(
% 0.21/0.46    ![X0,X1]: (in(apply(X0,sk0_0(relation_dom(relation_rng_restriction(X1,X0)))),X1)|~relation(X0)|~function(X0)|empty(relation_dom(relation_rng_restriction(X1,X0))))),
% 0.21/0.46    inference(resolution,[status(thm)],[f147,f768])).
% 0.21/0.46  fof(f1370,plain,(
% 0.21/0.46    ![X0]: (empty(sk0_4(X0))|element(sk0_0(sk0_4(X0)),X0)|empty(X0))),
% 0.21/0.46    inference(resolution,[status(thm)],[f724,f99])).
% 0.21/0.46  fof(f1371,plain,(
% 0.21/0.46    ![X0]: (element(sk0_0(sk0_4(X0)),X0)|empty(X0))),
% 0.21/0.46    inference(forward_subsumption_resolution,[status(thm)],[f1370,f100])).
% 0.21/0.46  fof(f1383,plain,(
% 0.21/0.46    spl0_116 <=> ~in(X0,sk0_0(sk0_4(powerset(empty_set))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1386,plain,(
% 0.21/0.46    ![X0]: (empty(powerset(empty_set))|~in(X0,sk0_0(sk0_4(powerset(empty_set)))))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1371,f712])).
% 0.21/0.46  fof(f1387,plain,(
% 0.21/0.46    spl0_46|spl0_116),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1386,f747,f1383])).
% 0.21/0.46  fof(f1390,plain,(
% 0.21/0.46    ![X0]: (empty(powerset(X0))|subset(sk0_0(sk0_4(powerset(X0))),X0))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1371,f64])).
% 0.21/0.46  fof(f1391,plain,(
% 0.21/0.46    ![X0]: (subset(sk0_0(sk0_4(powerset(X0))),X0))),
% 0.21/0.46    inference(forward_subsumption_resolution,[status(thm)],[f1390,f52])).
% 0.21/0.46  fof(f1392,plain,(
% 0.21/0.46    ![X0]: (empty(X0)|empty(X0)|in(sk0_0(sk0_4(X0)),X0))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1371,f61])).
% 0.21/0.46  fof(f1393,plain,(
% 0.21/0.46    ![X0]: (empty(X0)|in(sk0_0(sk0_4(X0)),X0))),
% 0.21/0.46    inference(duplicate_literals_removal,[status(esa)],[f1392])).
% 0.21/0.46  fof(f1394,plain,(
% 0.21/0.46    ![X0]: (element(sk0_0(sk0_4(powerset(X0))),powerset(X0)))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1391,f65])).
% 0.21/0.46  fof(f1398,plain,(
% 0.21/0.46    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,X1)))|~function(relation_rng_restriction(X0,X1))|~relation(X1)|~function(X1)|pd0_0(sk0_0(sk0_4(relation_dom(relation_rng_restriction(X0,X1)))),X1,X0))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1393,f766])).
% 0.21/0.46  fof(f1399,plain,(
% 0.21/0.46    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,X1)))|~relation(X1)|~function(X1)|pd0_0(sk0_0(sk0_4(relation_dom(relation_rng_restriction(X0,X1)))),X1,X0))),
% 0.21/0.46    inference(forward_subsumption_resolution,[status(thm)],[f1398,f85])).
% 0.21/0.46  fof(f1403,plain,(
% 0.21/0.46    ![X0,X1]: (empty(X0)|~element(X0,powerset(X1))|element(sk0_0(sk0_4(X0)),X1))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1393,f68])).
% 0.21/0.46  fof(f1407,plain,(
% 0.21/0.46    ![X0]: (~in(X0,sk0_0(sk0_4(powerset(empty_set)))))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1394,f712])).
% 0.21/0.46  fof(f1411,plain,(
% 0.21/0.46    empty(sk0_0(sk0_4(powerset(empty_set))))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1407,f1393])).
% 0.21/0.46  fof(f1420,plain,(
% 0.21/0.46    sk0_0(sk0_4(powerset(empty_set)))=empty_set),
% 0.21/0.46    inference(resolution,[status(thm)],[f1411,f73])).
% 0.21/0.46  fof(f1431,plain,(
% 0.21/0.46    spl0_117 <=> element(empty_set,powerset(empty_set))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1434,plain,(
% 0.21/0.46    element(empty_set,powerset(empty_set))|empty(powerset(empty_set))),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f1420,f1371])).
% 0.21/0.46  fof(f1435,plain,(
% 0.21/0.46    spl0_117|spl0_46),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1434,f1431,f747])).
% 0.21/0.46  fof(f1436,plain,(
% 0.21/0.46    spl0_118 <=> empty(sk0_4(powerset(empty_set)))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1437,plain,(
% 0.21/0.46    empty(sk0_4(powerset(empty_set)))|~spl0_118),
% 0.21/0.46    inference(component_clause,[status(thm)],[f1436])).
% 0.21/0.46  fof(f1439,plain,(
% 0.21/0.46    spl0_119 <=> in(sk0_4(powerset(empty_set)),empty_set)),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1442,plain,(
% 0.21/0.46    empty(sk0_4(powerset(empty_set)))|~in(sk0_4(powerset(empty_set)),empty_set)),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f1420,f725])).
% 0.21/0.46  fof(f1443,plain,(
% 0.21/0.46    spl0_118|~spl0_119),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1442,f1436,f1439])).
% 0.21/0.46  fof(f1444,plain,(
% 0.21/0.46    spl0_120 <=> in(empty_set,sk0_4(powerset(empty_set)))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1447,plain,(
% 0.21/0.46    empty(sk0_4(powerset(empty_set)))|in(empty_set,sk0_4(powerset(empty_set)))),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f1420,f471])).
% 0.21/0.46  fof(f1448,plain,(
% 0.21/0.46    spl0_118|spl0_120),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1447,f1436,f1444])).
% 0.21/0.46  fof(f1453,plain,(
% 0.21/0.46    spl0_121 <=> ~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,empty_set)|in(sk0_14(X1,empty_set,X0),relation_dom(X0))|pd0_0(sk0_14(X1,empty_set,X0),empty_set,X1)|in(sk0_15(X1,empty_set,X0),relation_dom(X0))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1454,plain,(
% 0.21/0.46    ![X0,X1]: (~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,empty_set)|in(sk0_14(X1,empty_set,X0),relation_dom(X0))|pd0_0(sk0_14(X1,empty_set,X0),empty_set,X1)|in(sk0_15(X1,empty_set,X0),relation_dom(X0))|~spl0_121)),
% 0.21/0.46    inference(component_clause,[status(thm)],[f1453])).
% 0.21/0.46  fof(f1456,plain,(
% 0.21/0.46    ![X0,X1]: (~relation(X0)|~function(X0)|~relation(empty_set)|X0=relation_rng_restriction(X1,empty_set)|in(sk0_14(X1,empty_set,X0),relation_dom(X0))|pd0_0(sk0_14(X1,empty_set,X0),empty_set,X1)|in(sk0_15(X1,empty_set,X0),relation_dom(X0)))),
% 0.21/0.46    inference(resolution,[status(thm)],[f142,f467])).
% 0.21/0.46  fof(f1457,plain,(
% 0.21/0.46    spl0_121|~spl0_4),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1456,f1453,f170])).
% 0.21/0.46  fof(f1458,plain,(
% 0.21/0.46    spl0_122 <=> ~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,sk0_3)|in(sk0_14(X1,sk0_3,X0),relation_dom(X0))|pd0_0(sk0_14(X1,sk0_3,X0),sk0_3,X1)|in(sk0_15(X1,sk0_3,X0),relation_dom(X0))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1461,plain,(
% 0.21/0.46    ![X0,X1]: (~relation(X0)|~function(X0)|~relation(sk0_3)|X0=relation_rng_restriction(X1,sk0_3)|in(sk0_14(X1,sk0_3,X0),relation_dom(X0))|pd0_0(sk0_14(X1,sk0_3,X0),sk0_3,X1)|in(sk0_15(X1,sk0_3,X0),relation_dom(X0)))),
% 0.21/0.46    inference(resolution,[status(thm)],[f142,f95])).
% 0.21/0.46  fof(f1462,plain,(
% 0.21/0.46    spl0_122|~spl0_89),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1461,f1458,f1170])).
% 0.21/0.46  fof(f1463,plain,(
% 0.21/0.46    spl0_123 <=> ~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,sk0_1)|in(sk0_14(X1,sk0_1,X0),relation_dom(X0))|pd0_0(sk0_14(X1,sk0_1,X0),sk0_1,X1)|in(sk0_15(X1,sk0_1,X0),relation_dom(X0))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1466,plain,(
% 0.21/0.46    ![X0,X1]: (~relation(X0)|~function(X0)|~relation(sk0_1)|X0=relation_rng_restriction(X1,sk0_1)|in(sk0_14(X1,sk0_1,X0),relation_dom(X0))|pd0_0(sk0_14(X1,sk0_1,X0),sk0_1,X1)|in(sk0_15(X1,sk0_1,X0),relation_dom(X0)))),
% 0.21/0.46    inference(resolution,[status(thm)],[f142,f88])).
% 0.21/0.46  fof(f1467,plain,(
% 0.21/0.46    spl0_123|~spl0_91),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1466,f1463,f1178])).
% 0.21/0.46  fof(f1468,plain,(
% 0.21/0.46    spl0_124 <=> ~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,relation_rng_restriction(sk0_12,sk0_11))|in(sk0_14(X1,relation_rng_restriction(sk0_12,sk0_11),X0),relation_dom(X0))|pd0_0(sk0_14(X1,relation_rng_restriction(sk0_12,sk0_11),X0),relation_rng_restriction(sk0_12,sk0_11),X1)|in(sk0_15(X1,relation_rng_restriction(sk0_12,sk0_11),X0),relation_dom(X0))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1469,plain,(
% 0.21/0.46    ![X0,X1]: (~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,relation_rng_restriction(sk0_12,sk0_11))|in(sk0_14(X1,relation_rng_restriction(sk0_12,sk0_11),X0),relation_dom(X0))|pd0_0(sk0_14(X1,relation_rng_restriction(sk0_12,sk0_11),X0),relation_rng_restriction(sk0_12,sk0_11),X1)|in(sk0_15(X1,relation_rng_restriction(sk0_12,sk0_11),X0),relation_dom(X0))|~spl0_124)),
% 0.21/0.46    inference(component_clause,[status(thm)],[f1468])).
% 0.21/0.46  fof(f1471,plain,(
% 0.21/0.46    ![X0,X1]: (~relation(X0)|~function(X0)|~relation(relation_rng_restriction(sk0_12,sk0_11))|X0=relation_rng_restriction(X1,relation_rng_restriction(sk0_12,sk0_11))|in(sk0_14(X1,relation_rng_restriction(sk0_12,sk0_11),X0),relation_dom(X0))|pd0_0(sk0_14(X1,relation_rng_restriction(sk0_12,sk0_11),X0),relation_rng_restriction(sk0_12,sk0_11),X1)|in(sk0_15(X1,relation_rng_restriction(sk0_12,sk0_11),X0),relation_dom(X0))|~spl0_7)),
% 0.21/0.46    inference(resolution,[status(thm)],[f142,f193])).
% 0.21/0.46  fof(f1472,plain,(
% 0.21/0.46    spl0_124|~spl0_93|~spl0_7),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1471,f1468,f1186,f192])).
% 0.21/0.46  fof(f1473,plain,(
% 0.21/0.46    ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|~relation(relation_rng_restriction(X1,X2))|X0=relation_rng_restriction(X3,relation_rng_restriction(X1,X2))|in(sk0_14(X3,relation_rng_restriction(X1,X2),X0),relation_dom(X0))|pd0_0(sk0_14(X3,relation_rng_restriction(X1,X2),X0),relation_rng_restriction(X1,X2),X3)|in(sk0_15(X3,relation_rng_restriction(X1,X2),X0),relation_dom(X0))|~relation(X2)|~function(X2))),
% 0.21/0.46    inference(resolution,[status(thm)],[f142,f85])).
% 0.21/0.46  fof(f1474,plain,(
% 0.21/0.46    ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,relation_rng_restriction(X2,X3))|in(sk0_14(X1,relation_rng_restriction(X2,X3),X0),relation_dom(X0))|pd0_0(sk0_14(X1,relation_rng_restriction(X2,X3),X0),relation_rng_restriction(X2,X3),X1)|in(sk0_15(X1,relation_rng_restriction(X2,X3),X0),relation_dom(X0))|~relation(X3)|~function(X3))),
% 0.21/0.46    inference(forward_subsumption_resolution,[status(thm)],[f1473,f81])).
% 0.21/0.46  fof(f1475,plain,(
% 0.21/0.46    spl0_125 <=> ~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,sk0_11)|in(sk0_14(X1,sk0_11,X0),relation_dom(X0))|pd0_0(sk0_14(X1,sk0_11,X0),sk0_11,X1)|in(sk0_15(X1,sk0_11,X0),relation_dom(X0))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1476,plain,(
% 0.21/0.46    ![X0,X1]: (~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,sk0_11)|in(sk0_14(X1,sk0_11,X0),relation_dom(X0))|pd0_0(sk0_14(X1,sk0_11,X0),sk0_11,X1)|in(sk0_15(X1,sk0_11,X0),relation_dom(X0))|~spl0_125)),
% 0.21/0.46    inference(component_clause,[status(thm)],[f1475])).
% 0.21/0.46  fof(f1478,plain,(
% 0.21/0.46    ![X0,X1]: (~relation(X0)|~function(X0)|~relation(sk0_11)|X0=relation_rng_restriction(X1,sk0_11)|in(sk0_14(X1,sk0_11,X0),relation_dom(X0))|pd0_0(sk0_14(X1,sk0_11,X0),sk0_11,X1)|in(sk0_15(X1,sk0_11,X0),relation_dom(X0)))),
% 0.21/0.46    inference(resolution,[status(thm)],[f142,f127])).
% 0.21/0.46  fof(f1479,plain,(
% 0.21/0.46    spl0_125|~spl0_8),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1478,f1475,f195])).
% 0.21/0.46  fof(f1482,plain,(
% 0.21/0.46    ![X0,X1]: (~relation(X0)|~function(X0)|X0=empty_set|in(sk0_14(X1,empty_set,X0),relation_dom(X0))|pd0_0(sk0_14(X1,empty_set,X0),empty_set,X1)|in(sk0_15(X1,empty_set,X0),relation_dom(X0))|~spl0_61|~spl0_121)),
% 0.21/0.46    inference(forward_demodulation,[status(thm)],[f872,f1454])).
% 0.21/0.46  fof(f1483,plain,(
% 0.21/0.46    ![X0,X1]: (~relation(X0)|~function(X0)|~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,X0)|in(sk0_14(X1,X0,X0),relation_dom(X0))|pd0_0(sk0_14(X1,X0,X0),X0,X1))),
% 0.21/0.46    inference(equality_resolution,[status(esa)],[f143])).
% 0.21/0.46  fof(f1484,plain,(
% 0.21/0.46    ![X0,X1]: (~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,X0)|in(sk0_14(X1,X0,X0),relation_dom(X0))|pd0_0(sk0_14(X1,X0,X0),X0,X1))),
% 0.21/0.46    inference(duplicate_literals_removal,[status(esa)],[f1483])).
% 0.21/0.46  fof(f1485,plain,(
% 0.21/0.46    ![X0,X1]: (~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,X0)|in(sk0_14(X1,X0,X0),relation_dom(X0)))),
% 0.21/0.46    inference(forward_subsumption_resolution,[status(thm)],[f1484,f146])).
% 0.21/0.46  fof(f1486,plain,(
% 0.21/0.46    ~relation(sk0_11)|spl0_93),
% 0.21/0.46    inference(resolution,[status(thm)],[f1188,f81])).
% 0.21/0.46  fof(f1487,plain,(
% 0.21/0.46    ~spl0_8|spl0_93),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1486,f195,f1186])).
% 0.21/0.46  fof(f1500,plain,(
% 0.21/0.46    spl0_126 <=> empty_set=relation_rng_restriction(X0,sk0_11)|in(sk0_14(X0,sk0_11,empty_set),relation_dom(empty_set))|pd0_0(sk0_14(X0,sk0_11,empty_set),sk0_11,X0)|in(sk0_15(X0,sk0_11,empty_set),relation_dom(empty_set))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1501,plain,(
% 0.21/0.46    ![X0]: (empty_set=relation_rng_restriction(X0,sk0_11)|in(sk0_14(X0,sk0_11,empty_set),relation_dom(empty_set))|pd0_0(sk0_14(X0,sk0_11,empty_set),sk0_11,X0)|in(sk0_15(X0,sk0_11,empty_set),relation_dom(empty_set))|~spl0_126)),
% 0.21/0.46    inference(component_clause,[status(thm)],[f1500])).
% 0.21/0.46  fof(f1503,plain,(
% 0.21/0.46    ![X0]: (~relation(empty_set)|empty_set=relation_rng_restriction(X0,sk0_11)|in(sk0_14(X0,sk0_11,empty_set),relation_dom(empty_set))|pd0_0(sk0_14(X0,sk0_11,empty_set),sk0_11,X0)|in(sk0_15(X0,sk0_11,empty_set),relation_dom(empty_set))|~spl0_125)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1476,f467])).
% 0.21/0.46  fof(f1504,plain,(
% 0.21/0.46    ~spl0_4|spl0_126|~spl0_125),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1503,f170,f1500,f1475])).
% 0.21/0.46  fof(f1505,plain,(
% 0.21/0.46    spl0_127 <=> sk0_3=relation_rng_restriction(X0,sk0_11)|in(sk0_14(X0,sk0_11,sk0_3),relation_dom(sk0_3))|pd0_0(sk0_14(X0,sk0_11,sk0_3),sk0_11,X0)|in(sk0_15(X0,sk0_11,sk0_3),relation_dom(sk0_3))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1508,plain,(
% 0.21/0.46    ![X0]: (~relation(sk0_3)|sk0_3=relation_rng_restriction(X0,sk0_11)|in(sk0_14(X0,sk0_11,sk0_3),relation_dom(sk0_3))|pd0_0(sk0_14(X0,sk0_11,sk0_3),sk0_11,X0)|in(sk0_15(X0,sk0_11,sk0_3),relation_dom(sk0_3))|~spl0_125)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1476,f95])).
% 0.21/0.46  fof(f1509,plain,(
% 0.21/0.46    ~spl0_89|spl0_127|~spl0_125),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1508,f1170,f1505,f1475])).
% 0.21/0.46  fof(f1510,plain,(
% 0.21/0.46    spl0_128 <=> sk0_1=relation_rng_restriction(X0,sk0_11)|in(sk0_14(X0,sk0_11,sk0_1),relation_dom(sk0_1))|pd0_0(sk0_14(X0,sk0_11,sk0_1),sk0_11,X0)|in(sk0_15(X0,sk0_11,sk0_1),relation_dom(sk0_1))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1513,plain,(
% 0.21/0.46    ![X0]: (~relation(sk0_1)|sk0_1=relation_rng_restriction(X0,sk0_11)|in(sk0_14(X0,sk0_11,sk0_1),relation_dom(sk0_1))|pd0_0(sk0_14(X0,sk0_11,sk0_1),sk0_11,X0)|in(sk0_15(X0,sk0_11,sk0_1),relation_dom(sk0_1))|~spl0_125)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1476,f88])).
% 0.21/0.46  fof(f1514,plain,(
% 0.21/0.46    ~spl0_91|spl0_128|~spl0_125),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1513,f1178,f1510,f1475])).
% 0.21/0.46  fof(f1515,plain,(
% 0.21/0.46    spl0_129 <=> relation_rng_restriction(sk0_12,sk0_11)=relation_rng_restriction(X0,sk0_11)|in(sk0_14(X0,sk0_11,relation_rng_restriction(sk0_12,sk0_11)),relation_dom(relation_rng_restriction(sk0_12,sk0_11)))|pd0_0(sk0_14(X0,sk0_11,relation_rng_restriction(sk0_12,sk0_11)),sk0_11,X0)|in(sk0_15(X0,sk0_11,relation_rng_restriction(sk0_12,sk0_11)),relation_dom(relation_rng_restriction(sk0_12,sk0_11)))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1518,plain,(
% 0.21/0.46    ![X0]: (~relation(relation_rng_restriction(sk0_12,sk0_11))|relation_rng_restriction(sk0_12,sk0_11)=relation_rng_restriction(X0,sk0_11)|in(sk0_14(X0,sk0_11,relation_rng_restriction(sk0_12,sk0_11)),relation_dom(relation_rng_restriction(sk0_12,sk0_11)))|pd0_0(sk0_14(X0,sk0_11,relation_rng_restriction(sk0_12,sk0_11)),sk0_11,X0)|in(sk0_15(X0,sk0_11,relation_rng_restriction(sk0_12,sk0_11)),relation_dom(relation_rng_restriction(sk0_12,sk0_11)))|~spl0_125|~spl0_7)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1476,f193])).
% 0.21/0.46  fof(f1519,plain,(
% 0.21/0.46    ~spl0_93|spl0_129|~spl0_125|~spl0_7),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1518,f1186,f1515,f1475,f192])).
% 0.21/0.46  fof(f1522,plain,(
% 0.21/0.46    spl0_130 <=> sk0_11=relation_rng_restriction(X0,sk0_11)|in(sk0_14(X0,sk0_11,sk0_11),relation_dom(sk0_11))|pd0_0(sk0_14(X0,sk0_11,sk0_11),sk0_11,X0)|in(sk0_15(X0,sk0_11,sk0_11),relation_dom(sk0_11))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1525,plain,(
% 0.21/0.46    ![X0]: (~relation(sk0_11)|sk0_11=relation_rng_restriction(X0,sk0_11)|in(sk0_14(X0,sk0_11,sk0_11),relation_dom(sk0_11))|pd0_0(sk0_14(X0,sk0_11,sk0_11),sk0_11,X0)|in(sk0_15(X0,sk0_11,sk0_11),relation_dom(sk0_11))|~spl0_125)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1476,f127])).
% 0.21/0.46  fof(f1526,plain,(
% 0.21/0.46    ~spl0_8|spl0_130|~spl0_125),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1525,f195,f1522,f1475])).
% 0.21/0.46  fof(f1529,plain,(
% 0.21/0.46    ![X0]: (empty_set=relation_rng_restriction(X0,sk0_11)|in(sk0_14(X0,sk0_11,empty_set),empty_set)|pd0_0(sk0_14(X0,sk0_11,empty_set),sk0_11,X0)|in(sk0_15(X0,sk0_11,empty_set),relation_dom(empty_set))|~spl0_126)),
% 0.21/0.46    inference(forward_demodulation,[status(thm)],[f517,f1501])).
% 0.21/0.46  fof(f1530,plain,(
% 0.21/0.46    ![X0]: (empty_set=relation_rng_restriction(X0,sk0_11)|in(sk0_14(X0,sk0_11,empty_set),empty_set)|pd0_0(sk0_14(X0,sk0_11,empty_set),sk0_11,X0)|in(sk0_15(X0,sk0_11,empty_set),empty_set)|~spl0_126)),
% 0.21/0.46    inference(forward_demodulation,[status(thm)],[f517,f1529])).
% 0.21/0.46  fof(f1531,plain,(
% 0.21/0.46    ![X0]: (empty_set=relation_rng_restriction(X0,sk0_11)|pd0_0(sk0_14(X0,sk0_11,empty_set),sk0_11,X0)|in(sk0_15(X0,sk0_11,empty_set),empty_set)|~spl0_126)),
% 0.21/0.46    inference(forward_subsumption_resolution,[status(thm)],[f1530,f166])).
% 0.21/0.46  fof(f1533,plain,(
% 0.21/0.46    empty(powerset(empty_set))|~spl0_118),
% 0.21/0.46    inference(resolution,[status(thm)],[f1437,f100])).
% 0.21/0.46  fof(f1534,plain,(
% 0.21/0.46    spl0_46|~spl0_118),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1533,f747,f1436])).
% 0.21/0.46  fof(f1545,plain,(
% 0.21/0.46    ![X0]: (empty_set=relation_rng_restriction(X0,sk0_11)|pd0_0(sk0_14(X0,sk0_11,empty_set),sk0_11,X0)|~spl0_126)),
% 0.21/0.46    inference(forward_subsumption_resolution,[status(thm)],[f1531,f166])).
% 0.21/0.46  fof(f1546,plain,(
% 0.21/0.46    spl0_131 <=> empty_set=relation_rng_restriction(X0,sk0_11)|empty_set=relation_rng_restriction(X0,sk0_11)|~in(sk0_14(X0,sk0_11,empty_set),relation_dom(empty_set))|in(sk0_15(X0,sk0_11,empty_set),relation_dom(empty_set))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1549,plain,(
% 0.21/0.46    ![X0]: (empty_set=relation_rng_restriction(X0,sk0_11)|~relation(empty_set)|~function(empty_set)|~relation(sk0_11)|~function(sk0_11)|empty_set=relation_rng_restriction(X0,sk0_11)|~in(sk0_14(X0,sk0_11,empty_set),relation_dom(empty_set))|in(sk0_15(X0,sk0_11,empty_set),relation_dom(empty_set))|~spl0_126)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1545,f140])).
% 0.21/0.46  fof(f1550,plain,(
% 0.21/0.46    spl0_131|~spl0_4|~spl0_52|~spl0_8|~spl0_9|~spl0_126),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1549,f1546,f170,f805,f195,f198,f1500])).
% 0.21/0.46  fof(f1551,plain,(
% 0.21/0.46    ![X0]: (empty_set=relation_rng_restriction(X0,sk0_11)|in(apply(sk0_11,sk0_14(X0,sk0_11,empty_set)),X0)|~spl0_126)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1545,f147])).
% 0.21/0.46  fof(f1552,plain,(
% 0.21/0.46    spl0_132 <=> empty_set=relation_rng_restriction(X0,sk0_11)|~function(relation_rng_restriction(X0,sk0_11))|in(sk0_14(X0,sk0_11,empty_set),relation_dom(relation_rng_restriction(X0,sk0_11)))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1555,plain,(
% 0.21/0.46    ![X0]: (empty_set=relation_rng_restriction(X0,sk0_11)|~function(relation_rng_restriction(X0,sk0_11))|~relation(sk0_11)|~function(sk0_11)|in(sk0_14(X0,sk0_11,empty_set),relation_dom(relation_rng_restriction(X0,sk0_11)))|~spl0_126)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1545,f774])).
% 0.21/0.46  fof(f1556,plain,(
% 0.21/0.46    spl0_132|~spl0_8|~spl0_9|~spl0_126),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1555,f1552,f195,f198,f1500])).
% 0.21/0.46  fof(f1570,plain,(
% 0.21/0.46    empty_set=relation_rng_restriction(empty_set,sk0_11)|~spl0_126),
% 0.21/0.46    inference(resolution,[status(thm)],[f1551,f166])).
% 0.21/0.46  fof(f1606,plain,(
% 0.21/0.46    spl0_139 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|~element(relation_dom(empty_set),powerset(X1))|element(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11)))),X1)),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1609,plain,(
% 0.21/0.46    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|~relation(sk0_11)|~function(sk0_11)|~element(relation_dom(empty_set),powerset(X1))|element(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11)))),X1)|~spl0_126)),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f1570,f1055])).
% 0.21/0.46  fof(f1610,plain,(
% 0.21/0.46    spl0_139|~spl0_8|~spl0_9|~spl0_126),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1609,f1606,f195,f198,f1500])).
% 0.21/0.46  fof(f1615,plain,(
% 0.21/0.46    spl0_140 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|~in(relation_dom(relation_rng_restriction(empty_set,sk0_11)),sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1618,plain,(
% 0.21/0.46    ![X0]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|~relation(sk0_11)|~function(sk0_11)|~in(relation_dom(relation_rng_restriction(empty_set,sk0_11)),sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))|~spl0_126)),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f1570,f1056])).
% 0.21/0.46  fof(f1619,plain,(
% 0.21/0.46    spl0_140|~spl0_8|~spl0_9|~spl0_126),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1618,f1615,f195,f198,f1500])).
% 0.21/0.46  fof(f1620,plain,(
% 0.21/0.46    spl0_141 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|~in(relation_dom(empty_set),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11)))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1623,plain,(
% 0.21/0.46    ![X0]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|~relation(sk0_11)|~function(sk0_11)|~in(relation_dom(empty_set),sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11)))))|~spl0_126)),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f1570,f1056])).
% 0.21/0.46  fof(f1624,plain,(
% 0.21/0.46    spl0_141|~spl0_8|~spl0_9|~spl0_126),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1623,f1620,f195,f198,f1500])).
% 0.21/0.46  fof(f1625,plain,(
% 0.21/0.46    spl0_142 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|element(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11)))),relation_dom(empty_set))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1628,plain,(
% 0.21/0.46    ![X0]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|~relation(sk0_11)|~function(sk0_11)|element(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11)))),relation_dom(empty_set))|~spl0_126)),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f1570,f1054])).
% 0.21/0.46  fof(f1629,plain,(
% 0.21/0.46    spl0_142|~spl0_8|~spl0_9|~spl0_126),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1628,f1625,f195,f198,f1500])).
% 0.21/0.46  fof(f1630,plain,(
% 0.21/0.46    spl0_143 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|element(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),relation_dom(relation_rng_restriction(empty_set,sk0_11)))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1633,plain,(
% 0.21/0.46    ![X0]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|~relation(sk0_11)|~function(sk0_11)|element(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),relation_dom(relation_rng_restriction(empty_set,sk0_11)))|~spl0_126)),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f1570,f1054])).
% 0.21/0.46  fof(f1634,plain,(
% 0.21/0.46    spl0_143|~spl0_8|~spl0_9|~spl0_126),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1633,f1630,f195,f198,f1500])).
% 0.21/0.46  fof(f1641,plain,(
% 0.21/0.46    spl0_144 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|in(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11)))),relation_dom(empty_set))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1644,plain,(
% 0.21/0.46    ![X0]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|~relation(sk0_11)|~function(sk0_11)|in(sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11)))),relation_dom(empty_set))|~spl0_126)),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f1570,f961])).
% 0.21/0.46  fof(f1645,plain,(
% 0.21/0.46    spl0_144|~spl0_8|~spl0_9|~spl0_126),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1644,f1641,f195,f198,f1500])).
% 0.21/0.46  fof(f1646,plain,(
% 0.21/0.46    spl0_145 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|in(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),relation_dom(relation_rng_restriction(empty_set,sk0_11)))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1649,plain,(
% 0.21/0.46    ![X0]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|~relation(sk0_11)|~function(sk0_11)|in(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),relation_dom(relation_rng_restriction(empty_set,sk0_11)))|~spl0_126)),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f1570,f961])).
% 0.21/0.46  fof(f1650,plain,(
% 0.21/0.46    spl0_145|~spl0_8|~spl0_9|~spl0_126),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1649,f1646,f195,f198,f1500])).
% 0.21/0.46  fof(f1651,plain,(
% 0.21/0.46    spl0_146 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|~in(relation_dom(sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1654,plain,(
% 0.21/0.46    ![X0]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|~relation(sk0_11)|~function(sk0_11)|~in(relation_dom(sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))|~spl0_126)),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f1570,f981])).
% 0.21/0.46  fof(f1655,plain,(
% 0.21/0.46    spl0_146|~spl0_8|~spl0_9|~spl0_126),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1654,f1651,f195,f198,f1500])).
% 0.21/0.46  fof(f1656,plain,(
% 0.21/0.46    spl0_147 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|element(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),relation_dom(sk0_11))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1659,plain,(
% 0.21/0.46    ![X0]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|~relation(sk0_11)|~function(sk0_11)|element(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),relation_dom(sk0_11))|~spl0_126)),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f1570,f979])).
% 0.21/0.46  fof(f1660,plain,(
% 0.21/0.46    spl0_147|~spl0_8|~spl0_9|~spl0_126),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1659,f1656,f195,f198,f1500])).
% 0.21/0.46  fof(f1661,plain,(
% 0.21/0.46    spl0_148 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|in(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),relation_dom(sk0_11))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1664,plain,(
% 0.21/0.46    ![X0]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|~relation(sk0_11)|~function(sk0_11)|in(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),relation_dom(sk0_11))|~spl0_126)),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f1570,f962])).
% 0.21/0.46  fof(f1665,plain,(
% 0.21/0.46    spl0_148|~spl0_8|~spl0_9|~spl0_126),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1664,f1661,f195,f198,f1500])).
% 0.21/0.46  fof(f1666,plain,(
% 0.21/0.46    spl0_149 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|pd0_0(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),sk0_11,empty_set)),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1669,plain,(
% 0.21/0.46    ![X0]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(empty_set,sk0_11))))|~relation(sk0_11)|~function(sk0_11)|pd0_0(sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))),sk0_11,empty_set)|~spl0_126)),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f1570,f958])).
% 0.21/0.46  fof(f1670,plain,(
% 0.21/0.46    spl0_149|~spl0_8|~spl0_9|~spl0_126),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1669,f1666,f195,f198,f1500])).
% 0.21/0.46  fof(f1694,plain,(
% 0.21/0.46    spl0_155 <=> function(relation_rng_restriction(empty_set,sk0_11))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1696,plain,(
% 0.21/0.46    ~function(relation_rng_restriction(empty_set,sk0_11))|spl0_155),
% 0.21/0.46    inference(component_clause,[status(thm)],[f1694])).
% 0.21/0.46  fof(f1697,plain,(
% 0.21/0.46    spl0_156 <=> ~in(X0,relation_dom(empty_set))|pd0_0(X0,sk0_11,empty_set)),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1700,plain,(
% 0.21/0.46    ![X0]: (~function(relation_rng_restriction(empty_set,sk0_11))|~relation(sk0_11)|~function(sk0_11)|~in(X0,relation_dom(empty_set))|pd0_0(X0,sk0_11,empty_set)|~spl0_126)),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f1570,f766])).
% 0.21/0.46  fof(f1701,plain,(
% 0.21/0.46    ~spl0_155|~spl0_8|~spl0_9|spl0_156|~spl0_126),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1700,f1694,f195,f198,f1697,f1500])).
% 0.21/0.46  fof(f1702,plain,(
% 0.21/0.46    spl0_157 <=> ~in(X0,relation_dom(empty_set))|apply(relation_rng_restriction(empty_set,sk0_11),X0)=apply(sk0_11,X0)),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1705,plain,(
% 0.21/0.46    ![X0]: (~function(relation_rng_restriction(empty_set,sk0_11))|~relation(sk0_11)|~function(sk0_11)|~in(X0,relation_dom(empty_set))|apply(relation_rng_restriction(empty_set,sk0_11),X0)=apply(sk0_11,X0)|~spl0_126)),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f1570,f164])).
% 0.21/0.46  fof(f1706,plain,(
% 0.21/0.46    ~spl0_155|~spl0_8|~spl0_9|spl0_157|~spl0_126),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1705,f1694,f195,f198,f1702,f1500])).
% 0.21/0.46  fof(f1712,plain,(
% 0.21/0.46    ~function(empty_set)|~spl0_126|spl0_155),
% 0.21/0.46    inference(forward_demodulation,[status(thm)],[f1570,f1696])).
% 0.21/0.46  fof(f1713,plain,(
% 0.21/0.46    $false|~spl0_126|spl0_155),
% 0.21/0.46    inference(forward_subsumption_resolution,[status(thm)],[f1712,f467])).
% 0.21/0.46  fof(f1714,plain,(
% 0.21/0.46    ~spl0_126|spl0_155),
% 0.21/0.46    inference(contradiction_clause,[status(thm)],[f1713])).
% 0.21/0.46  fof(f1803,plain,(
% 0.21/0.46    spl0_158 <=> empty_set=empty_set),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1806,plain,(
% 0.21/0.46    spl0_159 <=> in(sk0_14(X0,empty_set,empty_set),relation_dom(empty_set))|pd0_0(sk0_14(X0,empty_set,empty_set),empty_set,X0)|in(sk0_15(X0,empty_set,empty_set),relation_dom(empty_set))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1809,plain,(
% 0.21/0.46    ![X0]: (~relation(empty_set)|empty_set=empty_set|in(sk0_14(X0,empty_set,empty_set),relation_dom(empty_set))|pd0_0(sk0_14(X0,empty_set,empty_set),empty_set,X0)|in(sk0_15(X0,empty_set,empty_set),relation_dom(empty_set))|~spl0_61|~spl0_121)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1482,f467])).
% 0.21/0.46  fof(f1810,plain,(
% 0.21/0.46    ~spl0_4|spl0_158|spl0_159|~spl0_61|~spl0_121),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1809,f170,f1803,f1806,f864,f1453])).
% 0.21/0.46  fof(f1811,plain,(
% 0.21/0.46    spl0_160 <=> sk0_3=empty_set),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1814,plain,(
% 0.21/0.46    spl0_161 <=> in(sk0_14(X0,empty_set,sk0_3),relation_dom(sk0_3))|pd0_0(sk0_14(X0,empty_set,sk0_3),empty_set,X0)|in(sk0_15(X0,empty_set,sk0_3),relation_dom(sk0_3))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1817,plain,(
% 0.21/0.46    ![X0]: (~relation(sk0_3)|sk0_3=empty_set|in(sk0_14(X0,empty_set,sk0_3),relation_dom(sk0_3))|pd0_0(sk0_14(X0,empty_set,sk0_3),empty_set,X0)|in(sk0_15(X0,empty_set,sk0_3),relation_dom(sk0_3))|~spl0_61|~spl0_121)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1482,f95])).
% 0.21/0.46  fof(f1818,plain,(
% 0.21/0.46    ~spl0_89|spl0_160|spl0_161|~spl0_61|~spl0_121),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1817,f1170,f1811,f1814,f864,f1453])).
% 0.21/0.46  fof(f1819,plain,(
% 0.21/0.46    spl0_162 <=> sk0_1=empty_set),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1822,plain,(
% 0.21/0.46    spl0_163 <=> in(sk0_14(X0,empty_set,sk0_1),relation_dom(sk0_1))|pd0_0(sk0_14(X0,empty_set,sk0_1),empty_set,X0)|in(sk0_15(X0,empty_set,sk0_1),relation_dom(sk0_1))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1825,plain,(
% 0.21/0.46    ![X0]: (~relation(sk0_1)|sk0_1=empty_set|in(sk0_14(X0,empty_set,sk0_1),relation_dom(sk0_1))|pd0_0(sk0_14(X0,empty_set,sk0_1),empty_set,X0)|in(sk0_15(X0,empty_set,sk0_1),relation_dom(sk0_1))|~spl0_61|~spl0_121)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1482,f88])).
% 0.21/0.46  fof(f1826,plain,(
% 0.21/0.46    ~spl0_91|spl0_162|spl0_163|~spl0_61|~spl0_121),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1825,f1178,f1819,f1822,f864,f1453])).
% 0.21/0.46  fof(f1827,plain,(
% 0.21/0.46    spl0_164 <=> relation_rng_restriction(sk0_12,sk0_11)=empty_set),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1828,plain,(
% 0.21/0.46    relation_rng_restriction(sk0_12,sk0_11)=empty_set|~spl0_164),
% 0.21/0.46    inference(component_clause,[status(thm)],[f1827])).
% 0.21/0.46  fof(f1830,plain,(
% 0.21/0.46    spl0_165 <=> in(sk0_14(X0,empty_set,relation_rng_restriction(sk0_12,sk0_11)),relation_dom(relation_rng_restriction(sk0_12,sk0_11)))|pd0_0(sk0_14(X0,empty_set,relation_rng_restriction(sk0_12,sk0_11)),empty_set,X0)|in(sk0_15(X0,empty_set,relation_rng_restriction(sk0_12,sk0_11)),relation_dom(relation_rng_restriction(sk0_12,sk0_11)))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1833,plain,(
% 0.21/0.46    ![X0]: (~relation(relation_rng_restriction(sk0_12,sk0_11))|relation_rng_restriction(sk0_12,sk0_11)=empty_set|in(sk0_14(X0,empty_set,relation_rng_restriction(sk0_12,sk0_11)),relation_dom(relation_rng_restriction(sk0_12,sk0_11)))|pd0_0(sk0_14(X0,empty_set,relation_rng_restriction(sk0_12,sk0_11)),empty_set,X0)|in(sk0_15(X0,empty_set,relation_rng_restriction(sk0_12,sk0_11)),relation_dom(relation_rng_restriction(sk0_12,sk0_11)))|~spl0_61|~spl0_121|~spl0_7)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1482,f193])).
% 0.21/0.46  fof(f1834,plain,(
% 0.21/0.46    ~spl0_93|spl0_164|spl0_165|~spl0_61|~spl0_121|~spl0_7),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1833,f1186,f1827,f1830,f864,f1453,f192])).
% 0.21/0.46  fof(f1846,plain,(
% 0.21/0.46    spl0_168 <=> empty_set=relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11))|in(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),empty_set),relation_dom(empty_set))|pd0_0(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),empty_set),relation_rng_restriction(sk0_12,sk0_11),X0)|in(sk0_15(X0,relation_rng_restriction(sk0_12,sk0_11),empty_set),relation_dom(empty_set))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1849,plain,(
% 0.21/0.46    ![X0]: (~relation(empty_set)|empty_set=relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11))|in(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),empty_set),relation_dom(empty_set))|pd0_0(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),empty_set),relation_rng_restriction(sk0_12,sk0_11),X0)|in(sk0_15(X0,relation_rng_restriction(sk0_12,sk0_11),empty_set),relation_dom(empty_set))|~spl0_124)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1469,f467])).
% 0.21/0.46  fof(f1850,plain,(
% 0.21/0.46    ~spl0_4|spl0_168|~spl0_124),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1849,f170,f1846,f1468])).
% 0.21/0.46  fof(f1851,plain,(
% 0.21/0.46    spl0_169 <=> sk0_3=relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11))|in(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_3),relation_dom(sk0_3))|pd0_0(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_3),relation_rng_restriction(sk0_12,sk0_11),X0)|in(sk0_15(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_3),relation_dom(sk0_3))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1854,plain,(
% 0.21/0.46    ![X0]: (~relation(sk0_3)|sk0_3=relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11))|in(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_3),relation_dom(sk0_3))|pd0_0(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_3),relation_rng_restriction(sk0_12,sk0_11),X0)|in(sk0_15(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_3),relation_dom(sk0_3))|~spl0_124)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1469,f95])).
% 0.21/0.46  fof(f1855,plain,(
% 0.21/0.46    ~spl0_89|spl0_169|~spl0_124),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1854,f1170,f1851,f1468])).
% 0.21/0.46  fof(f1856,plain,(
% 0.21/0.46    spl0_170 <=> sk0_1=relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11))|in(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_1),relation_dom(sk0_1))|pd0_0(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_1),relation_rng_restriction(sk0_12,sk0_11),X0)|in(sk0_15(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_1),relation_dom(sk0_1))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1859,plain,(
% 0.21/0.46    ![X0]: (~relation(sk0_1)|sk0_1=relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11))|in(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_1),relation_dom(sk0_1))|pd0_0(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_1),relation_rng_restriction(sk0_12,sk0_11),X0)|in(sk0_15(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_1),relation_dom(sk0_1))|~spl0_124)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1469,f88])).
% 0.21/0.46  fof(f1860,plain,(
% 0.21/0.46    ~spl0_91|spl0_170|~spl0_124),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1859,f1178,f1856,f1468])).
% 0.21/0.46  fof(f1861,plain,(
% 0.21/0.46    spl0_171 <=> relation_rng_restriction(sk0_12,sk0_11)=relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11))|in(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),relation_rng_restriction(sk0_12,sk0_11)),relation_dom(relation_rng_restriction(sk0_12,sk0_11)))|pd0_0(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),relation_rng_restriction(sk0_12,sk0_11)),relation_rng_restriction(sk0_12,sk0_11),X0)|in(sk0_15(X0,relation_rng_restriction(sk0_12,sk0_11),relation_rng_restriction(sk0_12,sk0_11)),relation_dom(relation_rng_restriction(sk0_12,sk0_11)))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1864,plain,(
% 0.21/0.46    ![X0]: (~relation(relation_rng_restriction(sk0_12,sk0_11))|relation_rng_restriction(sk0_12,sk0_11)=relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11))|in(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),relation_rng_restriction(sk0_12,sk0_11)),relation_dom(relation_rng_restriction(sk0_12,sk0_11)))|pd0_0(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),relation_rng_restriction(sk0_12,sk0_11)),relation_rng_restriction(sk0_12,sk0_11),X0)|in(sk0_15(X0,relation_rng_restriction(sk0_12,sk0_11),relation_rng_restriction(sk0_12,sk0_11)),relation_dom(relation_rng_restriction(sk0_12,sk0_11)))|~spl0_124|~spl0_7)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1469,f193])).
% 0.21/0.46  fof(f1865,plain,(
% 0.21/0.46    ~spl0_93|spl0_171|~spl0_124|~spl0_7),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1864,f1186,f1861,f1468,f192])).
% 0.21/0.46  fof(f1868,plain,(
% 0.21/0.46    spl0_172 <=> sk0_11=relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11))|in(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_11),relation_dom(sk0_11))|pd0_0(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_11),relation_rng_restriction(sk0_12,sk0_11),X0)|in(sk0_15(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_11),relation_dom(sk0_11))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1871,plain,(
% 0.21/0.46    ![X0]: (~relation(sk0_11)|sk0_11=relation_rng_restriction(X0,relation_rng_restriction(sk0_12,sk0_11))|in(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_11),relation_dom(sk0_11))|pd0_0(sk0_14(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_11),relation_rng_restriction(sk0_12,sk0_11),X0)|in(sk0_15(X0,relation_rng_restriction(sk0_12,sk0_11),sk0_11),relation_dom(sk0_11))|~spl0_124)),
% 0.21/0.46    inference(resolution,[status(thm)],[f1469,f127])).
% 0.21/0.46  fof(f1872,plain,(
% 0.21/0.46    ~spl0_8|spl0_172|~spl0_124),
% 0.21/0.46    inference(split_clause,[status(thm)],[f1871,f195,f1868,f1468])).
% 0.21/0.46  fof(f2220,plain,(
% 0.21/0.46    spl0_189 <=> in(apply(sk0_11,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11)))),X0)|empty(relation_dom(relation_rng_restriction(X0,sk0_11)))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2223,plain,(
% 0.21/0.46    ![X0]: (in(apply(sk0_11,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11)))),X0)|~relation(sk0_11)|empty(relation_dom(relation_rng_restriction(X0,sk0_11))))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1367,f127])).
% 0.21/0.46  fof(f2224,plain,(
% 0.21/0.46    spl0_189|~spl0_8),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2223,f2220,f195])).
% 0.21/0.46  fof(f2225,plain,(
% 0.21/0.46    spl0_190 <=> in(apply(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,empty_set)))),X0)|empty(relation_dom(relation_rng_restriction(X0,empty_set)))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2228,plain,(
% 0.21/0.46    ![X0]: (in(apply(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,empty_set)))),X0)|~relation(empty_set)|empty(relation_dom(relation_rng_restriction(X0,empty_set))))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1367,f467])).
% 0.21/0.46  fof(f2229,plain,(
% 0.21/0.46    spl0_190|~spl0_4),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2228,f2225,f170])).
% 0.21/0.46  fof(f2230,plain,(
% 0.21/0.46    ![X0,X1,X2]: (in(apply(relation_rng_restriction(X0,X1),sk0_0(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1))))),X2)|~relation(relation_rng_restriction(X0,X1))|empty(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1))))|~relation(X1)|~function(X1))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1367,f85])).
% 0.21/0.46  fof(f2231,plain,(
% 0.21/0.46    ![X0,X1,X2]: (in(apply(relation_rng_restriction(X0,X1),sk0_0(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1))))),X2)|empty(relation_dom(relation_rng_restriction(X2,relation_rng_restriction(X0,X1))))|~relation(X1)|~function(X1))),
% 0.21/0.46    inference(forward_subsumption_resolution,[status(thm)],[f2230,f81])).
% 0.21/0.46  fof(f2245,plain,(
% 0.21/0.46    spl0_191 <=> ~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,relation_rng_restriction(X2,sk0_11))|in(sk0_14(X1,relation_rng_restriction(X2,sk0_11),X0),relation_dom(X0))|pd0_0(sk0_14(X1,relation_rng_restriction(X2,sk0_11),X0),relation_rng_restriction(X2,sk0_11),X1)|in(sk0_15(X1,relation_rng_restriction(X2,sk0_11),X0),relation_dom(X0))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2248,plain,(
% 0.21/0.46    ![X0,X1,X2]: (~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,relation_rng_restriction(X2,sk0_11))|in(sk0_14(X1,relation_rng_restriction(X2,sk0_11),X0),relation_dom(X0))|pd0_0(sk0_14(X1,relation_rng_restriction(X2,sk0_11),X0),relation_rng_restriction(X2,sk0_11),X1)|in(sk0_15(X1,relation_rng_restriction(X2,sk0_11),X0),relation_dom(X0))|~relation(sk0_11))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1474,f127])).
% 0.21/0.46  fof(f2249,plain,(
% 0.21/0.46    spl0_191|~spl0_8),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2248,f2245,f195])).
% 0.21/0.46  fof(f2250,plain,(
% 0.21/0.46    spl0_192 <=> ~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,relation_rng_restriction(X2,empty_set))|in(sk0_14(X1,relation_rng_restriction(X2,empty_set),X0),relation_dom(X0))|pd0_0(sk0_14(X1,relation_rng_restriction(X2,empty_set),X0),relation_rng_restriction(X2,empty_set),X1)|in(sk0_15(X1,relation_rng_restriction(X2,empty_set),X0),relation_dom(X0))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2253,plain,(
% 0.21/0.46    ![X0,X1,X2]: (~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,relation_rng_restriction(X2,empty_set))|in(sk0_14(X1,relation_rng_restriction(X2,empty_set),X0),relation_dom(X0))|pd0_0(sk0_14(X1,relation_rng_restriction(X2,empty_set),X0),relation_rng_restriction(X2,empty_set),X1)|in(sk0_15(X1,relation_rng_restriction(X2,empty_set),X0),relation_dom(X0))|~relation(empty_set))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1474,f467])).
% 0.21/0.46  fof(f2254,plain,(
% 0.21/0.46    spl0_192|~spl0_4),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2253,f2250,f170])).
% 0.21/0.46  fof(f2255,plain,(
% 0.21/0.46    ![X0,X1,X2,X3,X4]: (~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,X4)))|in(sk0_14(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,X4)),X0),relation_dom(X0))|pd0_0(sk0_14(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,X4)),X0),relation_rng_restriction(X2,relation_rng_restriction(X3,X4)),X1)|in(sk0_15(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,X4)),X0),relation_dom(X0))|~relation(relation_rng_restriction(X3,X4))|~relation(X4)|~function(X4))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1474,f85])).
% 0.21/0.46  fof(f2256,plain,(
% 0.21/0.46    ![X0,X1,X2,X3,X4]: (~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,X4)))|in(sk0_14(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,X4)),X0),relation_dom(X0))|pd0_0(sk0_14(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,X4)),X0),relation_rng_restriction(X2,relation_rng_restriction(X3,X4)),X1)|in(sk0_15(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,X4)),X0),relation_dom(X0))|~relation(X4)|~function(X4))),
% 0.21/0.46    inference(forward_subsumption_resolution,[status(thm)],[f2255,f81])).
% 0.21/0.46  fof(f2257,plain,(
% 0.21/0.46    ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,relation_rng_restriction(X2,X3))|in(sk0_14(X1,relation_rng_restriction(X2,X3),X0),relation_dom(X0))|pd0_0(sk0_14(X1,relation_rng_restriction(X2,X3),X0),relation_rng_restriction(X2,X3),X1)|in(sk0_15(X1,relation_rng_restriction(X2,X3),X0),relation_dom(X0))|~relation(X3)|~empty(X3))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1474,f47])).
% 0.21/0.46  fof(f2258,plain,(
% 0.21/0.46    ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,relation_rng_restriction(X2,X3))|in(sk0_14(X1,relation_rng_restriction(X2,X3),X0),relation_dom(X0))|pd0_0(sk0_14(X1,relation_rng_restriction(X2,X3),X0),relation_rng_restriction(X2,X3),X1)|in(sk0_15(X1,relation_rng_restriction(X2,X3),X0),relation_dom(X0))|~empty(X3))),
% 0.21/0.46    inference(forward_subsumption_resolution,[status(thm)],[f2257,f59])).
% 0.21/0.46  fof(f2264,plain,(
% 0.21/0.46    spl0_193 <=> empty(relation_dom(relation_rng_restriction(X0,sk0_11)))|pd0_0(sk0_0(sk0_4(relation_dom(relation_rng_restriction(X0,sk0_11)))),sk0_11,X0)),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2267,plain,(
% 0.21/0.46    ![X0]: (empty(relation_dom(relation_rng_restriction(X0,sk0_11)))|~relation(sk0_11)|pd0_0(sk0_0(sk0_4(relation_dom(relation_rng_restriction(X0,sk0_11)))),sk0_11,X0))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1399,f127])).
% 0.21/0.46  fof(f2268,plain,(
% 0.21/0.46    spl0_193|~spl0_8),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2267,f2264,f195])).
% 0.21/0.46  fof(f2269,plain,(
% 0.21/0.46    spl0_194 <=> empty(relation_dom(relation_rng_restriction(X0,empty_set)))|pd0_0(sk0_0(sk0_4(relation_dom(relation_rng_restriction(X0,empty_set)))),empty_set,X0)),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2272,plain,(
% 0.21/0.46    ![X0]: (empty(relation_dom(relation_rng_restriction(X0,empty_set)))|~relation(empty_set)|pd0_0(sk0_0(sk0_4(relation_dom(relation_rng_restriction(X0,empty_set)))),empty_set,X0))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1399,f467])).
% 0.21/0.46  fof(f2273,plain,(
% 0.21/0.46    spl0_194|~spl0_4),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2272,f2269,f170])).
% 0.21/0.46  fof(f2274,plain,(
% 0.21/0.46    ![X0,X1,X2]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))|~relation(relation_rng_restriction(X1,X2))|pd0_0(sk0_0(sk0_4(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))),relation_rng_restriction(X1,X2),X0)|~relation(X2)|~function(X2))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1399,f85])).
% 0.21/0.46  fof(f2275,plain,(
% 0.21/0.46    ![X0,X1,X2]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))|pd0_0(sk0_0(sk0_4(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,X2))))),relation_rng_restriction(X1,X2),X0)|~relation(X2)|~function(X2))),
% 0.21/0.46    inference(forward_subsumption_resolution,[status(thm)],[f2274,f81])).
% 0.21/0.46  fof(f2289,plain,(
% 0.21/0.46    spl0_195 <=> in(apply(sk0_11,sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_11))))),X1)|empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_11))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2292,plain,(
% 0.21/0.46    ![X0,X1]: (in(apply(sk0_11,sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_11))))),X1)|empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_11))))|~relation(sk0_11))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1366,f127])).
% 0.21/0.46  fof(f2293,plain,(
% 0.21/0.46    spl0_195|~spl0_8),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2292,f2289,f195])).
% 0.21/0.46  fof(f2294,plain,(
% 0.21/0.46    spl0_196 <=> in(apply(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))),X1)|empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2297,plain,(
% 0.21/0.46    ![X0,X1]: (in(apply(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))),X1)|empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|~relation(empty_set))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1366,f467])).
% 0.21/0.46  fof(f2298,plain,(
% 0.21/0.46    spl0_196|~spl0_4),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2297,f2294,f170])).
% 0.21/0.46  fof(f2318,plain,(
% 0.21/0.46    spl0_197 <=> in(apply(relation_rng_restriction(X0,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X1,relation_rng_restriction(X0,sk0_11))))),X1)|empty(relation_dom(relation_rng_restriction(X1,relation_rng_restriction(X0,sk0_11))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2321,plain,(
% 0.21/0.46    ![X0,X1]: (in(apply(relation_rng_restriction(X0,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X1,relation_rng_restriction(X0,sk0_11))))),X1)|empty(relation_dom(relation_rng_restriction(X1,relation_rng_restriction(X0,sk0_11))))|~relation(sk0_11))),
% 0.21/0.46    inference(resolution,[status(thm)],[f2231,f127])).
% 0.21/0.46  fof(f2322,plain,(
% 0.21/0.46    spl0_197|~spl0_8),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2321,f2318,f195])).
% 0.21/0.46  fof(f2323,plain,(
% 0.21/0.46    spl0_198 <=> in(apply(relation_rng_restriction(X0,empty_set),sk0_0(relation_dom(relation_rng_restriction(X1,relation_rng_restriction(X0,empty_set))))),X1)|empty(relation_dom(relation_rng_restriction(X1,relation_rng_restriction(X0,empty_set))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2326,plain,(
% 0.21/0.46    ![X0,X1]: (in(apply(relation_rng_restriction(X0,empty_set),sk0_0(relation_dom(relation_rng_restriction(X1,relation_rng_restriction(X0,empty_set))))),X1)|empty(relation_dom(relation_rng_restriction(X1,relation_rng_restriction(X0,empty_set))))|~relation(empty_set))),
% 0.21/0.46    inference(resolution,[status(thm)],[f2231,f467])).
% 0.21/0.46  fof(f2327,plain,(
% 0.21/0.46    spl0_198|~spl0_4),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2326,f2323,f170])).
% 0.21/0.46  fof(f2349,plain,(
% 0.21/0.46    spl0_199 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_11))))|pd0_0(sk0_0(sk0_4(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_11))))),relation_rng_restriction(X1,sk0_11),X0)),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2352,plain,(
% 0.21/0.46    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_11))))|pd0_0(sk0_0(sk0_4(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,sk0_11))))),relation_rng_restriction(X1,sk0_11),X0)|~relation(sk0_11))),
% 0.21/0.46    inference(resolution,[status(thm)],[f2275,f127])).
% 0.21/0.46  fof(f2353,plain,(
% 0.21/0.46    spl0_199|~spl0_8),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2352,f2349,f195])).
% 0.21/0.46  fof(f2354,plain,(
% 0.21/0.46    spl0_200 <=> empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|pd0_0(sk0_0(sk0_4(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))),relation_rng_restriction(X1,empty_set),X0)),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2357,plain,(
% 0.21/0.46    ![X0,X1]: (empty(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))|pd0_0(sk0_0(sk0_4(relation_dom(relation_rng_restriction(X0,relation_rng_restriction(X1,empty_set))))),relation_rng_restriction(X1,empty_set),X0)|~relation(empty_set))),
% 0.21/0.46    inference(resolution,[status(thm)],[f2275,f467])).
% 0.21/0.46  fof(f2358,plain,(
% 0.21/0.46    spl0_200|~spl0_4),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2357,f2354,f170])).
% 0.21/0.46  fof(f2380,plain,(
% 0.21/0.46    spl0_201 <=> apply(relation_rng_restriction(X0,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11))))=apply(sk0_11,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11))))|empty(relation_dom(relation_rng_restriction(X1,relation_rng_restriction(X0,sk0_11))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2383,plain,(
% 0.21/0.46    ![X0,X1]: (~relation(sk0_11)|apply(relation_rng_restriction(X0,sk0_11),sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11))))=apply(sk0_11,sk0_0(relation_dom(relation_rng_restriction(X0,sk0_11))))|empty(relation_dom(relation_rng_restriction(X1,relation_rng_restriction(X0,sk0_11)))))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1264,f127])).
% 0.21/0.46  fof(f2384,plain,(
% 0.21/0.46    ~spl0_8|spl0_201),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2383,f195,f2380])).
% 0.21/0.46  fof(f2385,plain,(
% 0.21/0.46    spl0_202 <=> apply(relation_rng_restriction(X0,empty_set),sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))=apply(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))|empty(relation_dom(relation_rng_restriction(X1,relation_rng_restriction(X0,empty_set))))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2388,plain,(
% 0.21/0.46    ![X0,X1]: (~relation(empty_set)|apply(relation_rng_restriction(X0,empty_set),sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))=apply(empty_set,sk0_0(relation_dom(relation_rng_restriction(X0,empty_set))))|empty(relation_dom(relation_rng_restriction(X1,relation_rng_restriction(X0,empty_set)))))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1264,f467])).
% 0.21/0.46  fof(f2389,plain,(
% 0.21/0.46    ~spl0_4|spl0_202),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2388,f170,f2385])).
% 0.21/0.46  fof(f2400,plain,(
% 0.21/0.46    spl0_203 <=> ~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,sk0_11)))|in(sk0_14(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,sk0_11)),X0),relation_dom(X0))|pd0_0(sk0_14(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,sk0_11)),X0),relation_rng_restriction(X2,relation_rng_restriction(X3,sk0_11)),X1)|in(sk0_15(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,sk0_11)),X0),relation_dom(X0))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2403,plain,(
% 0.21/0.46    ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,sk0_11)))|in(sk0_14(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,sk0_11)),X0),relation_dom(X0))|pd0_0(sk0_14(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,sk0_11)),X0),relation_rng_restriction(X2,relation_rng_restriction(X3,sk0_11)),X1)|in(sk0_15(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,sk0_11)),X0),relation_dom(X0))|~relation(sk0_11))),
% 0.21/0.46    inference(resolution,[status(thm)],[f2256,f127])).
% 0.21/0.46  fof(f2404,plain,(
% 0.21/0.46    spl0_203|~spl0_8),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2403,f2400,f195])).
% 0.21/0.46  fof(f2405,plain,(
% 0.21/0.46    spl0_204 <=> ~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,empty_set)))|in(sk0_14(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,empty_set)),X0),relation_dom(X0))|pd0_0(sk0_14(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,empty_set)),X0),relation_rng_restriction(X2,relation_rng_restriction(X3,empty_set)),X1)|in(sk0_15(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,empty_set)),X0),relation_dom(X0))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2408,plain,(
% 0.21/0.46    ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|X0=relation_rng_restriction(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,empty_set)))|in(sk0_14(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,empty_set)),X0),relation_dom(X0))|pd0_0(sk0_14(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,empty_set)),X0),relation_rng_restriction(X2,relation_rng_restriction(X3,empty_set)),X1)|in(sk0_15(X1,relation_rng_restriction(X2,relation_rng_restriction(X3,empty_set)),X0),relation_dom(X0))|~relation(empty_set))),
% 0.21/0.46    inference(resolution,[status(thm)],[f2256,f467])).
% 0.21/0.46  fof(f2409,plain,(
% 0.21/0.46    spl0_204|~spl0_4),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2408,f2405,f170])).
% 0.21/0.46  fof(f2457,plain,(
% 0.21/0.46    spl0_209 <=> ~element(powerset(empty_set),powerset(X0))|element(empty_set,X0)),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2460,plain,(
% 0.21/0.46    ![X0]: (empty(powerset(empty_set))|~element(powerset(empty_set),powerset(X0))|element(empty_set,X0))),
% 0.21/0.46    inference(paramodulation,[status(thm)],[f1420,f1403])).
% 0.21/0.46  fof(f2461,plain,(
% 0.21/0.46    spl0_46|spl0_209),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2460,f747,f2457])).
% 0.21/0.46  fof(f2463,plain,(
% 0.21/0.46    pd0_0(sk0_13,sk0_11,sk0_12)|~in(sk0_13,relation_dom(sk0_11))|~spl0_2),
% 0.21/0.46    inference(resolution,[status(thm)],[f148,f157])).
% 0.21/0.46  fof(f2464,plain,(
% 0.21/0.46    spl0_49|~spl0_1|~spl0_2),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2463,f769,f152,f156])).
% 0.21/0.46  fof(f2512,plain,(
% 0.21/0.46    spl0_211 <=> sk0_11=relation_rng_restriction(X0,sk0_11)|in(sk0_14(X0,sk0_11,sk0_11),relation_dom(sk0_11))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2515,plain,(
% 0.21/0.46    ![X0]: (~relation(sk0_11)|sk0_11=relation_rng_restriction(X0,sk0_11)|in(sk0_14(X0,sk0_11,sk0_11),relation_dom(sk0_11)))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1485,f127])).
% 0.21/0.46  fof(f2516,plain,(
% 0.21/0.46    ~spl0_8|spl0_211),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2515,f195,f2512])).
% 0.21/0.46  fof(f2517,plain,(
% 0.21/0.46    spl0_212 <=> empty_set=relation_rng_restriction(X0,empty_set)|in(sk0_14(X0,empty_set,empty_set),relation_dom(empty_set))),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2520,plain,(
% 0.21/0.46    ![X0]: (~relation(empty_set)|empty_set=relation_rng_restriction(X0,empty_set)|in(sk0_14(X0,empty_set,empty_set),relation_dom(empty_set)))),
% 0.21/0.46    inference(resolution,[status(thm)],[f1485,f467])).
% 0.21/0.46  fof(f2521,plain,(
% 0.21/0.46    ~spl0_4|spl0_212),
% 0.21/0.46    inference(split_clause,[status(thm)],[f2520,f170,f2517])).
% 0.21/0.46  fof(f2526,plain,(
% 0.21/0.46    spl0_213 <=> sk0_11=relation_rng_restriction(X0,relation_rng_restriction(X1,X2))|in(sk0_14(X0,relation_rng_restriction(X1,X2),sk0_11),relation_dom(sk0_11))|pd0_0(sk0_14(X0,relation_rng_restriction(X1,X2),sk0_11),relation_rng_restriction(X1,X2),X0)|in(sk0_15(X0,relation_rng_restriction(X1,X2),sk0_11),relation_dom(sk0_11))|~empty(X2)),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f2529,plain,(
% 0.21/0.46    ![X0,X1,X2]: (~relation(sk0_11)|sk0_11=relation_rng_restriction(X0,relation_rng_restriction(X1,X2))|in(sk0_14(X0,relation_rng_restriction(X1,X2),sk0_11),relation_dom(sk0_11))|pd0_0(sk0_14(X0,relation_rng_restriction(X1,X2),sk0_11),relation_rng_restriction(X1,X2),X0)|in(sk0_15(X0,relation_rng_restriction(X1,X2),sk0_11),relation_dom(sk0_11))|~empty(X2))),
% 0.21/0.47    inference(resolution,[status(thm)],[f2258,f127])).
% 0.21/0.47  fof(f2530,plain,(
% 0.21/0.47    ~spl0_8|spl0_213),
% 0.21/0.47    inference(split_clause,[status(thm)],[f2529,f195,f2526])).
% 0.21/0.47  fof(f2531,plain,(
% 0.21/0.47    spl0_214 <=> empty_set=relation_rng_restriction(X0,relation_rng_restriction(X1,X2))|in(sk0_14(X0,relation_rng_restriction(X1,X2),empty_set),relation_dom(empty_set))|pd0_0(sk0_14(X0,relation_rng_restriction(X1,X2),empty_set),relation_rng_restriction(X1,X2),X0)|in(sk0_15(X0,relation_rng_restriction(X1,X2),empty_set),relation_dom(empty_set))|~empty(X2)),
% 0.21/0.47    introduced(split_symbol_definition)).
% 0.21/0.47  fof(f2534,plain,(
% 0.21/0.47    ![X0,X1,X2]: (~relation(empty_set)|empty_set=relation_rng_restriction(X0,relation_rng_restriction(X1,X2))|in(sk0_14(X0,relation_rng_restriction(X1,X2),empty_set),relation_dom(empty_set))|pd0_0(sk0_14(X0,relation_rng_restriction(X1,X2),empty_set),relation_rng_restriction(X1,X2),X0)|in(sk0_15(X0,relation_rng_restriction(X1,X2),empty_set),relation_dom(empty_set))|~empty(X2))),
% 0.21/0.47    inference(resolution,[status(thm)],[f2258,f467])).
% 0.21/0.47  fof(f2535,plain,(
% 0.21/0.47    ~spl0_4|spl0_214),
% 0.21/0.47    inference(split_clause,[status(thm)],[f2534,f170,f2531])).
% 0.21/0.47  fof(f2543,plain,(
% 0.21/0.47    ~function(relation_rng_restriction(sk0_12,sk0_11))|~relation(sk0_11)|~function(sk0_11)|in(sk0_13,relation_dom(relation_rng_restriction(sk0_12,sk0_11)))|~spl0_49),
% 0.21/0.47    inference(resolution,[status(thm)],[f770,f774])).
% 0.21/0.47  fof(f2544,plain,(
% 0.21/0.47    ~spl0_7|~spl0_8|~spl0_9|spl0_0|~spl0_49),
% 0.21/0.47    inference(split_clause,[status(thm)],[f2543,f192,f195,f198,f149,f769])).
% 0.21/0.47  fof(f2546,plain,(
% 0.21/0.47    in(apply(sk0_11,sk0_13),sk0_12)|~spl0_49),
% 0.21/0.47    inference(resolution,[status(thm)],[f770,f147])).
% 0.21/0.47  fof(f2547,plain,(
% 0.21/0.47    spl0_2|~spl0_49),
% 0.21/0.47    inference(split_clause,[status(thm)],[f2546,f156,f769])).
% 0.21/0.47  fof(f2548,plain,(
% 0.21/0.47    in(sk0_13,relation_dom(sk0_11))|~spl0_49),
% 0.21/0.47    inference(resolution,[status(thm)],[f770,f146])).
% 0.21/0.47  fof(f2549,plain,(
% 0.21/0.47    spl0_1|~spl0_49),
% 0.21/0.47    inference(split_clause,[status(thm)],[f2548,f152,f769])).
% 0.21/0.47  fof(f2550,plain,(
% 0.21/0.47    in(sk0_13,relation_dom(empty_set))|~spl0_164|~spl0_0),
% 0.21/0.47    inference(forward_demodulation,[status(thm)],[f1828,f150])).
% 0.21/0.47  fof(f2551,plain,(
% 0.21/0.47    in(sk0_13,empty_set)|~spl0_164|~spl0_0),
% 0.21/0.47    inference(forward_demodulation,[status(thm)],[f517,f2550])).
% 0.21/0.47  fof(f2552,plain,(
% 0.21/0.47    $false|~spl0_164|~spl0_0),
% 0.21/0.47    inference(forward_subsumption_resolution,[status(thm)],[f2551,f166])).
% 0.21/0.47  fof(f2553,plain,(
% 0.21/0.47    ~spl0_164|~spl0_0),
% 0.21/0.47    inference(contradiction_clause,[status(thm)],[f2552])).
% 0.21/0.47  fof(f2554,plain,(
% 0.21/0.47    $false),
% 0.21/0.47    inference(sat_refutation,[status(thm)],[f155,f159,f160,f174,f184,f208,f210,f212,f215,f218,f226,f230,f238,f242,f250,f255,f263,f268,f276,f281,f289,f294,f302,f307,f315,f320,f328,f338,f348,f358,f368,f378,f388,f398,f408,f476,f480,f484,f488,f494,f499,f503,f509,f514,f754,f759,f762,f773,f812,f814,f835,f840,f845,f857,f868,f887,f892,f897,f929,f938,f953,f967,f986,f991,f1009,f1014,f1031,f1036,f1061,f1066,f1121,f1126,f1145,f1150,f1169,f1177,f1185,f1193,f1200,f1204,f1206,f1221,f1232,f1237,f1242,f1247,f1254,f1279,f1284,f1289,f1294,f1301,f1312,f1325,f1330,f1335,f1340,f1347,f1387,f1435,f1443,f1448,f1457,f1462,f1467,f1472,f1479,f1487,f1504,f1509,f1514,f1519,f1526,f1534,f1550,f1556,f1610,f1619,f1624,f1629,f1634,f1645,f1650,f1655,f1660,f1665,f1670,f1701,f1706,f1714,f1810,f1818,f1826,f1834,f1850,f1855,f1860,f1865,f1872,f2224,f2229,f2249,f2254,f2268,f2273,f2293,f2298,f2322,f2327,f2353,f2358,f2384,f2389,f2404,f2409,f2461,f2464,f2516,f2521,f2530,f2535,f2544,f2547,f2549,f2553])).
% 0.21/0.47  % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.47  % Elapsed time: 0.112646 seconds
% 0.21/0.47  % CPU time: 0.396934 seconds
% 0.21/0.47  % Memory used: 40.823 MB
%------------------------------------------------------------------------------