TSTP Solution File: SEU236+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU236+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:36:24 EDT 2023
% Result : Theorem 0.19s 0.46s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU236+3 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n008.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 09:14:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.46 % Refutation found
% 0.19/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.46 fof(f1,axiom,(
% 0.19/0.46 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f2,axiom,(
% 0.19/0.46 (! [A] :( empty(A)=> function(A) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f3,axiom,(
% 0.19/0.46 (! [A] :( ordinal(A)=> ( epsilon_transitive(A)& epsilon_connected(A) ) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f4,axiom,(
% 0.19/0.46 (! [A] :( empty(A)=> relation(A) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f5,axiom,(
% 0.19/0.46 (! [A] :( ( relation(A)& empty(A)& function(A) )=> ( relation(A)& function(A)& one_to_one(A) ) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f6,axiom,(
% 0.19/0.46 (! [A] :( ( epsilon_transitive(A)& epsilon_connected(A) )=> ordinal(A) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f7,axiom,(
% 0.19/0.46 (! [A] :( empty(A)=> ( epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f8,axiom,(
% 0.19/0.46 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f9,axiom,(
% 0.19/0.46 (! [A,B] :( ( ordinal(A)& ordinal(B) )=> ( ordinal_subset(A,B)| ordinal_subset(B,A) ) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f10,axiom,(
% 0.19/0.46 (! [A] : succ(A) = set_union2(A,singleton(A)) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f11,axiom,(
% 0.19/0.46 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f12,axiom,(
% 0.19/0.46 (! [A] :( epsilon_transitive(A)<=> (! [B] :( in(B,A)=> subset(B,A) ) )) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f13,axiom,(
% 0.19/0.46 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f14,axiom,(
% 0.19/0.46 (! [A] :(? [B] : element(B,A) ))),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f15,axiom,(
% 0.19/0.46 ( empty(empty_set)& relation(empty_set)& relation_empty_yielding(empty_set) ) ),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f16,axiom,(
% 0.19/0.46 (! [A] : ~ empty(succ(A)) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f18,axiom,(
% 0.19/0.46 ( relation(empty_set)& relation_empty_yielding(empty_set)& function(empty_set)& one_to_one(empty_set)& empty(empty_set)& epsilon_transitive(empty_set)& epsilon_connected(empty_set)& ordinal(empty_set) ) ),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f19,axiom,(
% 0.19/0.46 (! [A,B] :( ( relation(A)& relation(B) )=> relation(set_union2(A,B)) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f21,axiom,(
% 0.19/0.46 (! [A] :( ordinal(A)=> ( ~ empty(succ(A))& epsilon_transitive(succ(A))& epsilon_connected(succ(A))& ordinal(succ(A)) ) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f26,axiom,(
% 0.19/0.46 (? [A] :( epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f27,axiom,(
% 0.19/0.46 (? [A] :( empty(A)& relation(A) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f28,axiom,(
% 0.19/0.46 (? [A] : empty(A) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f29,axiom,(
% 0.19/0.46 (? [A] :( relation(A)& empty(A)& function(A) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f30,axiom,(
% 0.19/0.46 (? [A] :( relation(A)& function(A)& one_to_one(A)& empty(A)& epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f34,axiom,(
% 0.19/0.46 (? [A] :( ~ empty(A)& epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f38,axiom,(
% 0.19/0.46 (! [A,B] :( ( ordinal(A)& ordinal(B) )=> ( ordinal_subset(A,B)<=> subset(A,B) ) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f40,axiom,(
% 0.19/0.46 (! [A,B] : subset(A,A) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f41,axiom,(
% 0.19/0.46 (! [A] : in(A,succ(A)) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f42,axiom,(
% 0.19/0.46 (! [A] : set_union2(A,empty_set) = A )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f43,axiom,(
% 0.19/0.46 (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f44,axiom,(
% 0.19/0.46 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f45,conjecture,(
% 0.19/0.46 (! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> ( in(A,B)<=> ordinal_subset(succ(A),B) ) ) )) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f46,negated_conjecture,(
% 0.19/0.46 ~((! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> ( in(A,B)<=> ordinal_subset(succ(A),B) ) ) )) ))),
% 0.19/0.46 inference(negated_conjecture,[status(cth)],[f45])).
% 0.19/0.46 fof(f47,axiom,(
% 0.19/0.46 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f48,axiom,(
% 0.19/0.46 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f49,axiom,(
% 0.19/0.46 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f50,axiom,(
% 0.19/0.46 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f51,axiom,(
% 0.19/0.46 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f53,axiom,(
% 0.19/0.46 (! [A,B,C] :( ( subset(A,B)& subset(C,B) )=> subset(set_union2(A,C),B) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f54,plain,(
% 0.19/0.46 ![A,B]: (~in(A,B)|~in(B,A))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.19/0.46 fof(f55,plain,(
% 0.19/0.46 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f54])).
% 0.19/0.46 fof(f56,plain,(
% 0.19/0.46 ![A]: (~empty(A)|function(A))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.19/0.46 fof(f57,plain,(
% 0.19/0.46 ![X0]: (~empty(X0)|function(X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f56])).
% 0.19/0.46 fof(f58,plain,(
% 0.19/0.46 ![A]: (~ordinal(A)|(epsilon_transitive(A)&epsilon_connected(A)))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.19/0.46 fof(f59,plain,(
% 0.19/0.46 ![X0]: (~ordinal(X0)|epsilon_transitive(X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f58])).
% 0.19/0.46 fof(f60,plain,(
% 0.19/0.46 ![X0]: (~ordinal(X0)|epsilon_connected(X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f58])).
% 0.19/0.46 fof(f61,plain,(
% 0.19/0.46 ![A]: (~empty(A)|relation(A))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.19/0.46 fof(f62,plain,(
% 0.19/0.46 ![X0]: (~empty(X0)|relation(X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f61])).
% 0.19/0.46 fof(f63,plain,(
% 0.19/0.46 ![A]: (((~relation(A)|~empty(A))|~function(A))|((relation(A)&function(A))&one_to_one(A)))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.19/0.46 fof(f66,plain,(
% 0.19/0.46 ![X0]: (~relation(X0)|~empty(X0)|~function(X0)|one_to_one(X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f63])).
% 0.19/0.46 fof(f67,plain,(
% 0.19/0.46 ![A]: ((~epsilon_transitive(A)|~epsilon_connected(A))|ordinal(A))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.19/0.46 fof(f68,plain,(
% 0.19/0.46 ![X0]: (~epsilon_transitive(X0)|~epsilon_connected(X0)|ordinal(X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f67])).
% 0.19/0.46 fof(f69,plain,(
% 0.19/0.46 ![A]: (~empty(A)|((epsilon_transitive(A)&epsilon_connected(A))&ordinal(A)))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.19/0.46 fof(f72,plain,(
% 0.19/0.46 ![X0]: (~empty(X0)|ordinal(X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f69])).
% 0.19/0.46 fof(f73,plain,(
% 0.19/0.46 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f8])).
% 0.19/0.46 fof(f74,plain,(
% 0.19/0.46 ![A,B]: ((~ordinal(A)|~ordinal(B))|(ordinal_subset(A,B)|ordinal_subset(B,A)))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.19/0.46 fof(f75,plain,(
% 0.19/0.46 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X1)|ordinal_subset(X1,X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f74])).
% 0.19/0.46 fof(f76,plain,(
% 0.19/0.46 ![X0]: (succ(X0)=set_union2(X0,singleton(X0)))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f10])).
% 0.19/0.46 fof(f77,plain,(
% 0.19/0.46 ![A,B]: ((~B=singleton(A)|(![C]: ((~in(C,B)|C=A)&(in(C,B)|~C=A))))&(B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 0.19/0.46 inference(NNF_transformation,[status(esa)],[f11])).
% 0.19/0.46 fof(f78,plain,(
% 0.19/0.46 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 0.19/0.46 inference(miniscoping,[status(esa)],[f77])).
% 0.19/0.46 fof(f79,plain,(
% 0.19/0.46 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|((~in(sk0_0(B,A),B)|~sk0_0(B,A)=A)&(in(sk0_0(B,A),B)|sk0_0(B,A)=A))))),
% 0.19/0.46 inference(skolemization,[status(esa)],[f78])).
% 0.19/0.46 fof(f80,plain,(
% 0.19/0.46 ![X0,X1,X2]: (~X0=singleton(X1)|~in(X2,X0)|X2=X1)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f79])).
% 0.19/0.46 fof(f81,plain,(
% 0.19/0.46 ![X0,X1,X2]: (~X0=singleton(X1)|in(X2,X0)|~X2=X1)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f79])).
% 0.19/0.46 fof(f83,plain,(
% 0.19/0.46 ![X0,X1]: (X0=singleton(X1)|in(sk0_0(X0,X1),X0)|sk0_0(X0,X1)=X1)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f79])).
% 0.19/0.46 fof(f84,plain,(
% 0.19/0.46 ![A]: (epsilon_transitive(A)<=>(![B]: (~in(B,A)|subset(B,A))))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.19/0.46 fof(f85,plain,(
% 0.19/0.46 ![A]: ((~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A))))&(epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 0.19/0.46 inference(NNF_transformation,[status(esa)],[f84])).
% 0.19/0.46 fof(f86,plain,(
% 0.19/0.46 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 0.19/0.46 inference(miniscoping,[status(esa)],[f85])).
% 0.19/0.46 fof(f87,plain,(
% 0.19/0.46 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(in(sk0_1(A),A)&~subset(sk0_1(A),A))))),
% 0.19/0.46 inference(skolemization,[status(esa)],[f86])).
% 0.19/0.46 fof(f88,plain,(
% 0.19/0.46 ![X0,X1]: (~epsilon_transitive(X0)|~in(X1,X0)|subset(X1,X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f87])).
% 0.19/0.46 fof(f89,plain,(
% 0.19/0.46 ![X0]: (epsilon_transitive(X0)|in(sk0_1(X0),X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f87])).
% 0.19/0.46 fof(f90,plain,(
% 0.19/0.46 ![X0]: (epsilon_transitive(X0)|~subset(sk0_1(X0),X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f87])).
% 0.19/0.46 fof(f91,plain,(
% 0.19/0.46 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.19/0.46 fof(f92,plain,(
% 0.19/0.46 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.19/0.46 inference(NNF_transformation,[status(esa)],[f91])).
% 0.19/0.46 fof(f93,plain,(
% 0.19/0.46 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.19/0.46 inference(miniscoping,[status(esa)],[f92])).
% 0.19/0.46 fof(f94,plain,(
% 0.19/0.46 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sk0_2(B,A),A)&~in(sk0_2(B,A),B))))),
% 0.19/0.46 inference(skolemization,[status(esa)],[f93])).
% 0.19/0.46 fof(f95,plain,(
% 0.19/0.46 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f94])).
% 0.19/0.46 fof(f96,plain,(
% 0.19/0.46 ![X0,X1]: (subset(X0,X1)|in(sk0_2(X1,X0),X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f94])).
% 0.19/0.46 fof(f97,plain,(
% 0.19/0.46 ![X0,X1]: (subset(X0,X1)|~in(sk0_2(X1,X0),X1))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f94])).
% 0.19/0.46 fof(f98,plain,(
% 0.19/0.46 ![A]: element(sk0_3(A),A)),
% 0.19/0.46 inference(skolemization,[status(esa)],[f14])).
% 0.19/0.46 fof(f99,plain,(
% 0.19/0.46 ![X0]: (element(sk0_3(X0),X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f98])).
% 0.19/0.46 fof(f100,plain,(
% 0.19/0.46 empty(empty_set)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f15])).
% 0.19/0.46 fof(f101,plain,(
% 0.19/0.46 relation(empty_set)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f15])).
% 0.19/0.46 fof(f103,plain,(
% 0.19/0.46 ![X0]: (~empty(succ(X0)))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f16])).
% 0.19/0.46 fof(f107,plain,(
% 0.19/0.46 function(empty_set)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f18])).
% 0.19/0.46 fof(f110,plain,(
% 0.19/0.46 epsilon_transitive(empty_set)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f18])).
% 0.19/0.46 fof(f111,plain,(
% 0.19/0.46 epsilon_connected(empty_set)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f18])).
% 0.19/0.46 fof(f113,plain,(
% 0.19/0.46 ![A,B]: ((~relation(A)|~relation(B))|relation(set_union2(A,B)))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.19/0.46 fof(f114,plain,(
% 0.19/0.46 ![X0,X1]: (~relation(X0)|~relation(X1)|relation(set_union2(X0,X1)))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f113])).
% 0.19/0.46 fof(f118,plain,(
% 0.19/0.46 ![A]: (~ordinal(A)|(((~empty(succ(A))&epsilon_transitive(succ(A)))&epsilon_connected(succ(A)))&ordinal(succ(A))))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.19/0.46 fof(f120,plain,(
% 0.19/0.46 ![X0]: (~ordinal(X0)|epsilon_transitive(succ(X0)))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f118])).
% 0.19/0.46 fof(f122,plain,(
% 0.19/0.46 ![X0]: (~ordinal(X0)|ordinal(succ(X0)))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f118])).
% 0.19/0.46 fof(f133,plain,(
% 0.19/0.46 ((epsilon_transitive(sk0_5)&epsilon_connected(sk0_5))&ordinal(sk0_5))),
% 0.19/0.46 inference(skolemization,[status(esa)],[f26])).
% 0.19/0.46 fof(f134,plain,(
% 0.19/0.46 epsilon_transitive(sk0_5)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f133])).
% 0.19/0.46 fof(f135,plain,(
% 0.19/0.46 epsilon_connected(sk0_5)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f133])).
% 0.19/0.46 fof(f137,plain,(
% 0.19/0.46 (empty(sk0_6)&relation(sk0_6))),
% 0.19/0.46 inference(skolemization,[status(esa)],[f27])).
% 0.19/0.46 fof(f138,plain,(
% 0.19/0.46 empty(sk0_6)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f137])).
% 0.19/0.46 fof(f140,plain,(
% 0.19/0.46 empty(sk0_7)),
% 0.19/0.46 inference(skolemization,[status(esa)],[f28])).
% 0.19/0.46 fof(f141,plain,(
% 0.19/0.46 empty(sk0_7)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f140])).
% 0.19/0.46 fof(f142,plain,(
% 0.19/0.46 ((relation(sk0_8)&empty(sk0_8))&function(sk0_8))),
% 0.19/0.46 inference(skolemization,[status(esa)],[f29])).
% 0.19/0.46 fof(f144,plain,(
% 0.19/0.46 empty(sk0_8)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f142])).
% 0.19/0.46 fof(f145,plain,(
% 0.19/0.46 function(sk0_8)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f142])).
% 0.19/0.46 fof(f146,plain,(
% 0.19/0.46 ((((((relation(sk0_9)&function(sk0_9))&one_to_one(sk0_9))&empty(sk0_9))&epsilon_transitive(sk0_9))&epsilon_connected(sk0_9))&ordinal(sk0_9))),
% 0.19/0.46 inference(skolemization,[status(esa)],[f30])).
% 0.19/0.46 fof(f148,plain,(
% 0.19/0.46 function(sk0_9)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f146])).
% 0.19/0.46 fof(f150,plain,(
% 0.19/0.46 empty(sk0_9)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f146])).
% 0.19/0.46 fof(f151,plain,(
% 0.19/0.46 epsilon_transitive(sk0_9)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f146])).
% 0.19/0.46 fof(f152,plain,(
% 0.19/0.46 epsilon_connected(sk0_9)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f146])).
% 0.19/0.46 fof(f163,plain,(
% 0.19/0.46 (((~empty(sk0_13)&epsilon_transitive(sk0_13))&epsilon_connected(sk0_13))&ordinal(sk0_13))),
% 0.19/0.46 inference(skolemization,[status(esa)],[f34])).
% 0.19/0.46 fof(f165,plain,(
% 0.19/0.46 epsilon_transitive(sk0_13)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f163])).
% 0.19/0.46 fof(f166,plain,(
% 0.19/0.46 epsilon_connected(sk0_13)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f163])).
% 0.19/0.46 fof(f179,plain,(
% 0.19/0.46 ![A,B]: ((~ordinal(A)|~ordinal(B))|(ordinal_subset(A,B)<=>subset(A,B)))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.19/0.46 fof(f180,plain,(
% 0.19/0.46 ![A,B]: ((~ordinal(A)|~ordinal(B))|((~ordinal_subset(A,B)|subset(A,B))&(ordinal_subset(A,B)|~subset(A,B))))),
% 0.19/0.46 inference(NNF_transformation,[status(esa)],[f179])).
% 0.19/0.46 fof(f181,plain,(
% 0.19/0.46 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|~ordinal_subset(X0,X1)|subset(X0,X1))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f180])).
% 0.19/0.46 fof(f182,plain,(
% 0.19/0.46 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X1)|~subset(X0,X1))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f180])).
% 0.19/0.46 fof(f186,plain,(
% 0.19/0.46 ![A]: subset(A,A)),
% 0.19/0.46 inference(miniscoping,[status(esa)],[f40])).
% 0.19/0.46 fof(f187,plain,(
% 0.19/0.46 ![X0]: (subset(X0,X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f186])).
% 0.19/0.46 fof(f188,plain,(
% 0.19/0.46 ![X0]: (in(X0,succ(X0)))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f41])).
% 0.19/0.46 fof(f189,plain,(
% 0.19/0.46 ![X0]: (set_union2(X0,empty_set)=X0)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f42])).
% 0.19/0.46 fof(f190,plain,(
% 0.19/0.46 ![A,B]: (~in(A,B)|element(A,B))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.19/0.46 fof(f191,plain,(
% 0.19/0.46 ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f190])).
% 0.19/0.46 fof(f192,plain,(
% 0.19/0.46 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 0.19/0.46 fof(f193,plain,(
% 0.19/0.46 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f192])).
% 0.19/0.46 fof(f194,plain,(
% 0.19/0.46 (?[A]: (ordinal(A)&(?[B]: (ordinal(B)&(in(A,B)<~>ordinal_subset(succ(A),B))))))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 0.19/0.46 fof(f195,plain,(
% 0.19/0.46 ?[A]: (ordinal(A)&(?[B]: (ordinal(B)&((in(A,B)|ordinal_subset(succ(A),B))&(~in(A,B)|~ordinal_subset(succ(A),B))))))),
% 0.19/0.46 inference(NNF_transformation,[status(esa)],[f194])).
% 0.19/0.46 fof(f196,plain,(
% 0.19/0.46 (ordinal(sk0_17)&(ordinal(sk0_18)&((in(sk0_17,sk0_18)|ordinal_subset(succ(sk0_17),sk0_18))&(~in(sk0_17,sk0_18)|~ordinal_subset(succ(sk0_17),sk0_18)))))),
% 0.19/0.46 inference(skolemization,[status(esa)],[f195])).
% 0.19/0.46 fof(f197,plain,(
% 0.19/0.46 ordinal(sk0_17)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f196])).
% 0.19/0.46 fof(f198,plain,(
% 0.19/0.46 ordinal(sk0_18)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f196])).
% 0.19/0.46 fof(f199,plain,(
% 0.19/0.46 in(sk0_17,sk0_18)|ordinal_subset(succ(sk0_17),sk0_18)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f196])).
% 0.19/0.46 fof(f200,plain,(
% 0.19/0.46 ~in(sk0_17,sk0_18)|~ordinal_subset(succ(sk0_17),sk0_18)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f196])).
% 0.19/0.46 fof(f201,plain,(
% 0.19/0.46 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.19/0.46 inference(NNF_transformation,[status(esa)],[f47])).
% 0.19/0.46 fof(f202,plain,(
% 0.19/0.46 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.19/0.46 inference(miniscoping,[status(esa)],[f201])).
% 0.19/0.46 fof(f204,plain,(
% 0.19/0.46 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f202])).
% 0.19/0.46 fof(f205,plain,(
% 0.19/0.46 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 0.19/0.46 fof(f206,plain,(
% 0.19/0.46 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 0.19/0.46 inference(miniscoping,[status(esa)],[f205])).
% 0.19/0.46 fof(f207,plain,(
% 0.19/0.46 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f206])).
% 0.19/0.46 fof(f208,plain,(
% 0.19/0.46 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 0.19/0.46 fof(f209,plain,(
% 0.19/0.46 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 0.19/0.46 inference(miniscoping,[status(esa)],[f208])).
% 0.19/0.46 fof(f210,plain,(
% 0.19/0.46 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f209])).
% 0.19/0.46 fof(f211,plain,(
% 0.19/0.46 ![A]: (~empty(A)|A=empty_set)),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 0.19/0.46 fof(f212,plain,(
% 0.19/0.46 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f211])).
% 0.19/0.46 fof(f213,plain,(
% 0.19/0.46 ![A,B]: (~in(A,B)|~empty(B))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f51])).
% 0.19/0.46 fof(f214,plain,(
% 0.19/0.46 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 0.19/0.46 inference(miniscoping,[status(esa)],[f213])).
% 0.19/0.46 fof(f215,plain,(
% 0.19/0.46 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f214])).
% 0.19/0.46 fof(f219,plain,(
% 0.19/0.46 ![A,B,C]: ((~subset(A,B)|~subset(C,B))|subset(set_union2(A,C),B))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 0.19/0.46 fof(f220,plain,(
% 0.19/0.46 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X2,X1)|subset(set_union2(X0,X2),X1))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f219])).
% 0.19/0.46 fof(f228,plain,(
% 0.19/0.46 spl0_2 <=> in(sk0_17,sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f229,plain,(
% 0.19/0.46 in(sk0_17,sk0_18)|~spl0_2),
% 0.19/0.46 inference(component_clause,[status(thm)],[f228])).
% 0.19/0.46 fof(f231,plain,(
% 0.19/0.46 spl0_3 <=> ordinal_subset(succ(sk0_17),sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f232,plain,(
% 0.19/0.46 ordinal_subset(succ(sk0_17),sk0_18)|~spl0_3),
% 0.19/0.46 inference(component_clause,[status(thm)],[f231])).
% 0.19/0.46 fof(f233,plain,(
% 0.19/0.46 ~ordinal_subset(succ(sk0_17),sk0_18)|spl0_3),
% 0.19/0.46 inference(component_clause,[status(thm)],[f231])).
% 0.19/0.46 fof(f234,plain,(
% 0.19/0.46 spl0_2|spl0_3),
% 0.19/0.46 inference(split_clause,[status(thm)],[f199,f228,f231])).
% 0.19/0.46 fof(f235,plain,(
% 0.19/0.46 ~spl0_2|~spl0_3),
% 0.19/0.46 inference(split_clause,[status(thm)],[f200,f228,f231])).
% 0.19/0.46 fof(f236,plain,(
% 0.19/0.46 ![X0,X1]: (~in(X0,singleton(X1))|X0=X1)),
% 0.19/0.46 inference(destructive_equality_resolution,[status(esa)],[f80])).
% 0.19/0.46 fof(f237,plain,(
% 0.19/0.46 ![X0]: (in(X0,singleton(X0)))),
% 0.19/0.46 inference(destructive_equality_resolution,[status(esa)],[f81])).
% 0.19/0.46 fof(f238,plain,(
% 0.19/0.46 ![X0]: (~in(succ(X0),X0))),
% 0.19/0.46 inference(resolution,[status(thm)],[f55,f188])).
% 0.19/0.46 fof(f240,plain,(
% 0.19/0.46 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|subset(X0,X1)|~ordinal(X1)|~ordinal(X0)|ordinal_subset(X1,X0))),
% 0.19/0.46 inference(resolution,[status(thm)],[f181,f75])).
% 0.19/0.46 fof(f241,plain,(
% 0.19/0.46 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|subset(X0,X1)|ordinal_subset(X1,X0))),
% 0.19/0.46 inference(duplicate_literals_removal,[status(esa)],[f240])).
% 0.19/0.46 fof(f244,plain,(
% 0.19/0.46 ordinal(empty_set)),
% 0.19/0.46 inference(resolution,[status(thm)],[f100,f72])).
% 0.19/0.46 fof(f248,plain,(
% 0.19/0.46 epsilon_transitive(sk0_18)),
% 0.19/0.46 inference(resolution,[status(thm)],[f59,f198])).
% 0.19/0.46 fof(f249,plain,(
% 0.19/0.46 epsilon_transitive(sk0_17)),
% 0.19/0.46 inference(resolution,[status(thm)],[f59,f197])).
% 0.19/0.46 fof(f253,plain,(
% 0.19/0.46 epsilon_connected(sk0_17)),
% 0.19/0.46 inference(resolution,[status(thm)],[f60,f197])).
% 0.19/0.46 fof(f255,plain,(
% 0.19/0.46 spl0_4 <=> ordinal(succ(sk0_17))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f257,plain,(
% 0.19/0.46 ~ordinal(succ(sk0_17))|spl0_4),
% 0.19/0.46 inference(component_clause,[status(thm)],[f255])).
% 0.19/0.46 fof(f258,plain,(
% 0.19/0.46 spl0_5 <=> ordinal(sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f260,plain,(
% 0.19/0.46 ~ordinal(sk0_18)|spl0_5),
% 0.19/0.46 inference(component_clause,[status(thm)],[f258])).
% 0.19/0.46 fof(f261,plain,(
% 0.19/0.46 spl0_6 <=> subset(succ(sk0_17),sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f262,plain,(
% 0.19/0.46 subset(succ(sk0_17),sk0_18)|~spl0_6),
% 0.19/0.46 inference(component_clause,[status(thm)],[f261])).
% 0.19/0.46 fof(f263,plain,(
% 0.19/0.46 ~subset(succ(sk0_17),sk0_18)|spl0_6),
% 0.19/0.46 inference(component_clause,[status(thm)],[f261])).
% 0.19/0.46 fof(f264,plain,(
% 0.19/0.46 ~ordinal(succ(sk0_17))|~ordinal(sk0_18)|subset(succ(sk0_17),sk0_18)|~spl0_3),
% 0.19/0.46 inference(resolution,[status(thm)],[f232,f181])).
% 0.19/0.46 fof(f265,plain,(
% 0.19/0.46 ~spl0_4|~spl0_5|spl0_6|~spl0_3),
% 0.19/0.46 inference(split_clause,[status(thm)],[f264,f255,f258,f261,f231])).
% 0.19/0.46 fof(f266,plain,(
% 0.19/0.46 $false|spl0_5),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f260,f198])).
% 0.19/0.46 fof(f267,plain,(
% 0.19/0.46 spl0_5),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f266])).
% 0.19/0.46 fof(f268,plain,(
% 0.19/0.46 ~ordinal(sk0_17)|spl0_4),
% 0.19/0.46 inference(resolution,[status(thm)],[f257,f122])).
% 0.19/0.46 fof(f269,plain,(
% 0.19/0.46 $false|spl0_4),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f268,f197])).
% 0.19/0.46 fof(f270,plain,(
% 0.19/0.46 spl0_4),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f269])).
% 0.19/0.46 fof(f275,plain,(
% 0.19/0.46 spl0_7 <=> ordinal_subset(sk0_18,succ(sk0_17))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f276,plain,(
% 0.19/0.46 ordinal_subset(sk0_18,succ(sk0_17))|~spl0_7),
% 0.19/0.46 inference(component_clause,[status(thm)],[f275])).
% 0.19/0.46 fof(f278,plain,(
% 0.19/0.46 ~ordinal(sk0_18)|~ordinal(succ(sk0_17))|ordinal_subset(sk0_18,succ(sk0_17))|spl0_3),
% 0.19/0.46 inference(resolution,[status(thm)],[f233,f75])).
% 0.19/0.46 fof(f279,plain,(
% 0.19/0.46 ~spl0_5|~spl0_4|spl0_7|spl0_3),
% 0.19/0.46 inference(split_clause,[status(thm)],[f278,f258,f255,f275,f231])).
% 0.19/0.46 fof(f284,plain,(
% 0.19/0.46 ~ordinal(succ(sk0_17))|~ordinal(sk0_18)|ordinal_subset(succ(sk0_17),sk0_18)|~spl0_6),
% 0.19/0.46 inference(resolution,[status(thm)],[f262,f182])).
% 0.19/0.46 fof(f285,plain,(
% 0.19/0.46 ~spl0_4|~spl0_5|spl0_3|~spl0_6),
% 0.19/0.46 inference(split_clause,[status(thm)],[f284,f255,f258,f231,f261])).
% 0.19/0.46 fof(f286,plain,(
% 0.19/0.46 spl0_8 <=> subset(sk0_18,succ(sk0_17))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f287,plain,(
% 0.19/0.46 subset(sk0_18,succ(sk0_17))|~spl0_8),
% 0.19/0.46 inference(component_clause,[status(thm)],[f286])).
% 0.19/0.46 fof(f289,plain,(
% 0.19/0.46 ~ordinal(sk0_18)|~ordinal(succ(sk0_17))|subset(sk0_18,succ(sk0_17))|~spl0_7),
% 0.19/0.46 inference(resolution,[status(thm)],[f276,f181])).
% 0.19/0.46 fof(f290,plain,(
% 0.19/0.46 ~spl0_5|~spl0_4|spl0_8|~spl0_7),
% 0.19/0.46 inference(split_clause,[status(thm)],[f289,f258,f255,f286,f275])).
% 0.19/0.46 fof(f291,plain,(
% 0.19/0.46 ~ordinal(succ(sk0_17))|~ordinal(sk0_18)|ordinal_subset(sk0_18,succ(sk0_17))|spl0_6),
% 0.19/0.46 inference(resolution,[status(thm)],[f263,f241])).
% 0.19/0.46 fof(f292,plain,(
% 0.19/0.46 ~spl0_4|~spl0_5|spl0_7|spl0_6),
% 0.19/0.46 inference(split_clause,[status(thm)],[f291,f255,f258,f275,f261])).
% 0.19/0.46 fof(f297,plain,(
% 0.19/0.46 ~ordinal(sk0_18)|~ordinal(succ(sk0_17))|ordinal_subset(sk0_18,succ(sk0_17))|~spl0_8),
% 0.19/0.46 inference(resolution,[status(thm)],[f287,f182])).
% 0.19/0.46 fof(f298,plain,(
% 0.19/0.46 ~spl0_5|~spl0_4|spl0_7|~spl0_8),
% 0.19/0.46 inference(split_clause,[status(thm)],[f297,f258,f255,f275,f286])).
% 0.19/0.46 fof(f313,plain,(
% 0.19/0.46 ![X0]: (~empty(X0)|~function(X0)|one_to_one(X0))),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f66,f62])).
% 0.19/0.46 fof(f322,plain,(
% 0.19/0.46 spl0_11 <=> empty(empty_set)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f324,plain,(
% 0.19/0.46 ~empty(empty_set)|spl0_11),
% 0.19/0.46 inference(component_clause,[status(thm)],[f322])).
% 0.19/0.46 fof(f325,plain,(
% 0.19/0.46 spl0_12 <=> one_to_one(empty_set)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f328,plain,(
% 0.19/0.46 ~empty(empty_set)|one_to_one(empty_set)),
% 0.19/0.46 inference(resolution,[status(thm)],[f313,f107])).
% 0.19/0.46 fof(f329,plain,(
% 0.19/0.46 ~spl0_11|spl0_12),
% 0.19/0.46 inference(split_clause,[status(thm)],[f328,f322,f325])).
% 0.19/0.46 fof(f330,plain,(
% 0.19/0.46 $false|spl0_11),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f324,f100])).
% 0.19/0.46 fof(f331,plain,(
% 0.19/0.46 spl0_11),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f330])).
% 0.19/0.46 fof(f335,plain,(
% 0.19/0.46 function(sk0_6)),
% 0.19/0.46 inference(resolution,[status(thm)],[f138,f57])).
% 0.19/0.46 fof(f336,plain,(
% 0.19/0.46 ordinal(sk0_6)),
% 0.19/0.46 inference(resolution,[status(thm)],[f138,f72])).
% 0.19/0.46 fof(f337,plain,(
% 0.19/0.46 epsilon_connected(sk0_6)),
% 0.19/0.46 inference(resolution,[status(thm)],[f336,f60])).
% 0.19/0.46 fof(f338,plain,(
% 0.19/0.46 epsilon_transitive(sk0_6)),
% 0.19/0.46 inference(resolution,[status(thm)],[f336,f59])).
% 0.19/0.46 fof(f340,plain,(
% 0.19/0.46 function(sk0_7)),
% 0.19/0.46 inference(resolution,[status(thm)],[f141,f57])).
% 0.19/0.46 fof(f341,plain,(
% 0.19/0.46 ordinal(sk0_7)),
% 0.19/0.46 inference(resolution,[status(thm)],[f141,f72])).
% 0.19/0.46 fof(f342,plain,(
% 0.19/0.46 epsilon_connected(sk0_7)),
% 0.19/0.46 inference(resolution,[status(thm)],[f341,f60])).
% 0.19/0.46 fof(f343,plain,(
% 0.19/0.46 epsilon_transitive(sk0_7)),
% 0.19/0.46 inference(resolution,[status(thm)],[f341,f59])).
% 0.19/0.46 fof(f346,plain,(
% 0.19/0.46 ordinal(sk0_8)),
% 0.19/0.46 inference(resolution,[status(thm)],[f144,f72])).
% 0.19/0.46 fof(f347,plain,(
% 0.19/0.46 epsilon_connected(sk0_8)),
% 0.19/0.46 inference(resolution,[status(thm)],[f346,f60])).
% 0.19/0.46 fof(f348,plain,(
% 0.19/0.46 epsilon_transitive(sk0_8)),
% 0.19/0.46 inference(resolution,[status(thm)],[f346,f59])).
% 0.19/0.46 fof(f349,plain,(
% 0.19/0.46 spl0_13 <=> epsilon_transitive(sk0_8)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f351,plain,(
% 0.19/0.46 ~epsilon_transitive(sk0_8)|spl0_13),
% 0.19/0.46 inference(component_clause,[status(thm)],[f349])).
% 0.19/0.46 fof(f352,plain,(
% 0.19/0.46 spl0_14 <=> ordinal(sk0_8)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f355,plain,(
% 0.19/0.46 ~epsilon_transitive(sk0_8)|ordinal(sk0_8)),
% 0.19/0.46 inference(resolution,[status(thm)],[f68,f347])).
% 0.19/0.46 fof(f356,plain,(
% 0.19/0.46 ~spl0_13|spl0_14),
% 0.19/0.46 inference(split_clause,[status(thm)],[f355,f349,f352])).
% 0.19/0.46 fof(f357,plain,(
% 0.19/0.46 spl0_15 <=> epsilon_transitive(sk0_7)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f359,plain,(
% 0.19/0.46 ~epsilon_transitive(sk0_7)|spl0_15),
% 0.19/0.46 inference(component_clause,[status(thm)],[f357])).
% 0.19/0.46 fof(f360,plain,(
% 0.19/0.46 spl0_16 <=> ordinal(sk0_7)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f363,plain,(
% 0.19/0.46 ~epsilon_transitive(sk0_7)|ordinal(sk0_7)),
% 0.19/0.46 inference(resolution,[status(thm)],[f68,f342])).
% 0.19/0.46 fof(f364,plain,(
% 0.19/0.46 ~spl0_15|spl0_16),
% 0.19/0.46 inference(split_clause,[status(thm)],[f363,f357,f360])).
% 0.19/0.46 fof(f365,plain,(
% 0.19/0.46 spl0_17 <=> epsilon_transitive(sk0_6)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f367,plain,(
% 0.19/0.46 ~epsilon_transitive(sk0_6)|spl0_17),
% 0.19/0.46 inference(component_clause,[status(thm)],[f365])).
% 0.19/0.46 fof(f368,plain,(
% 0.19/0.46 spl0_18 <=> ordinal(sk0_6)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f371,plain,(
% 0.19/0.46 ~epsilon_transitive(sk0_6)|ordinal(sk0_6)),
% 0.19/0.46 inference(resolution,[status(thm)],[f68,f337])).
% 0.19/0.46 fof(f372,plain,(
% 0.19/0.46 ~spl0_17|spl0_18),
% 0.19/0.46 inference(split_clause,[status(thm)],[f371,f365,f368])).
% 0.19/0.46 fof(f373,plain,(
% 0.19/0.46 spl0_19 <=> epsilon_transitive(sk0_5)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f375,plain,(
% 0.19/0.46 ~epsilon_transitive(sk0_5)|spl0_19),
% 0.19/0.46 inference(component_clause,[status(thm)],[f373])).
% 0.19/0.46 fof(f376,plain,(
% 0.19/0.46 spl0_20 <=> ordinal(sk0_5)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f379,plain,(
% 0.19/0.46 ~epsilon_transitive(sk0_5)|ordinal(sk0_5)),
% 0.19/0.46 inference(resolution,[status(thm)],[f68,f135])).
% 0.19/0.46 fof(f380,plain,(
% 0.19/0.46 ~spl0_19|spl0_20),
% 0.19/0.46 inference(split_clause,[status(thm)],[f379,f373,f376])).
% 0.19/0.46 fof(f381,plain,(
% 0.19/0.46 spl0_21 <=> epsilon_transitive(sk0_17)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f383,plain,(
% 0.19/0.46 ~epsilon_transitive(sk0_17)|spl0_21),
% 0.19/0.46 inference(component_clause,[status(thm)],[f381])).
% 0.19/0.46 fof(f384,plain,(
% 0.19/0.46 spl0_22 <=> ordinal(sk0_17)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f387,plain,(
% 0.19/0.46 ~epsilon_transitive(sk0_17)|ordinal(sk0_17)),
% 0.19/0.46 inference(resolution,[status(thm)],[f68,f253])).
% 0.19/0.46 fof(f388,plain,(
% 0.19/0.46 ~spl0_21|spl0_22),
% 0.19/0.46 inference(split_clause,[status(thm)],[f387,f381,f384])).
% 0.19/0.46 fof(f389,plain,(
% 0.19/0.46 spl0_23 <=> epsilon_transitive(sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f391,plain,(
% 0.19/0.46 ~epsilon_transitive(sk0_18)|spl0_23),
% 0.19/0.46 inference(component_clause,[status(thm)],[f389])).
% 0.19/0.46 fof(f394,plain,(
% 0.19/0.46 spl0_24 <=> epsilon_transitive(succ(sk0_17))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f400,plain,(
% 0.19/0.46 spl0_25 <=> epsilon_transitive(empty_set)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f402,plain,(
% 0.19/0.46 ~epsilon_transitive(empty_set)|spl0_25),
% 0.19/0.46 inference(component_clause,[status(thm)],[f400])).
% 0.19/0.46 fof(f403,plain,(
% 0.19/0.46 spl0_26 <=> ordinal(empty_set)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f406,plain,(
% 0.19/0.46 ~epsilon_transitive(empty_set)|ordinal(empty_set)),
% 0.19/0.46 inference(resolution,[status(thm)],[f68,f111])).
% 0.19/0.46 fof(f407,plain,(
% 0.19/0.46 ~spl0_25|spl0_26),
% 0.19/0.46 inference(split_clause,[status(thm)],[f406,f400,f403])).
% 0.19/0.46 fof(f408,plain,(
% 0.19/0.46 $false|spl0_25),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f402,f110])).
% 0.19/0.46 fof(f409,plain,(
% 0.19/0.46 spl0_25),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f408])).
% 0.19/0.46 fof(f410,plain,(
% 0.19/0.46 $false|spl0_21),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f383,f249])).
% 0.19/0.46 fof(f411,plain,(
% 0.19/0.46 spl0_21),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f410])).
% 0.19/0.46 fof(f412,plain,(
% 0.19/0.46 $false|spl0_19),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f375,f134])).
% 0.19/0.46 fof(f413,plain,(
% 0.19/0.46 spl0_19),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f412])).
% 0.19/0.46 fof(f414,plain,(
% 0.19/0.46 $false|spl0_17),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f367,f338])).
% 0.19/0.46 fof(f415,plain,(
% 0.19/0.46 spl0_17),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f414])).
% 0.19/0.46 fof(f416,plain,(
% 0.19/0.46 $false|spl0_15),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f359,f343])).
% 0.19/0.46 fof(f417,plain,(
% 0.19/0.46 spl0_15),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f416])).
% 0.19/0.46 fof(f418,plain,(
% 0.19/0.46 $false|spl0_13),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f351,f348])).
% 0.19/0.46 fof(f419,plain,(
% 0.19/0.46 spl0_13),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f418])).
% 0.19/0.46 fof(f420,plain,(
% 0.19/0.46 spl0_27 <=> empty(sk0_8)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f422,plain,(
% 0.19/0.46 ~empty(sk0_8)|spl0_27),
% 0.19/0.46 inference(component_clause,[status(thm)],[f420])).
% 0.19/0.46 fof(f423,plain,(
% 0.19/0.46 spl0_28 <=> one_to_one(sk0_8)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f426,plain,(
% 0.19/0.46 ~empty(sk0_8)|one_to_one(sk0_8)),
% 0.19/0.46 inference(resolution,[status(thm)],[f145,f313])).
% 0.19/0.46 fof(f427,plain,(
% 0.19/0.46 ~spl0_27|spl0_28),
% 0.19/0.46 inference(split_clause,[status(thm)],[f426,f420,f423])).
% 0.19/0.46 fof(f428,plain,(
% 0.19/0.46 $false|spl0_27),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f422,f144])).
% 0.19/0.46 fof(f429,plain,(
% 0.19/0.46 spl0_27),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f428])).
% 0.19/0.46 fof(f430,plain,(
% 0.19/0.46 spl0_29 <=> empty(sk0_9)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f432,plain,(
% 0.19/0.46 ~empty(sk0_9)|spl0_29),
% 0.19/0.46 inference(component_clause,[status(thm)],[f430])).
% 0.19/0.46 fof(f433,plain,(
% 0.19/0.46 spl0_30 <=> one_to_one(sk0_9)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f436,plain,(
% 0.19/0.46 ~empty(sk0_9)|one_to_one(sk0_9)),
% 0.19/0.46 inference(resolution,[status(thm)],[f148,f313])).
% 0.19/0.46 fof(f437,plain,(
% 0.19/0.46 ~spl0_29|spl0_30),
% 0.19/0.46 inference(split_clause,[status(thm)],[f436,f430,f433])).
% 0.19/0.46 fof(f441,plain,(
% 0.19/0.46 spl0_31 <=> epsilon_transitive(sk0_9)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f443,plain,(
% 0.19/0.46 ~epsilon_transitive(sk0_9)|spl0_31),
% 0.19/0.46 inference(component_clause,[status(thm)],[f441])).
% 0.19/0.46 fof(f444,plain,(
% 0.19/0.46 spl0_32 <=> ordinal(sk0_9)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f447,plain,(
% 0.19/0.46 ~epsilon_transitive(sk0_9)|ordinal(sk0_9)),
% 0.19/0.46 inference(resolution,[status(thm)],[f152,f68])).
% 0.19/0.46 fof(f448,plain,(
% 0.19/0.46 ~spl0_31|spl0_32),
% 0.19/0.46 inference(split_clause,[status(thm)],[f447,f441,f444])).
% 0.19/0.46 fof(f449,plain,(
% 0.19/0.46 $false|spl0_31),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f443,f151])).
% 0.19/0.46 fof(f450,plain,(
% 0.19/0.46 spl0_31),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f449])).
% 0.19/0.46 fof(f471,plain,(
% 0.19/0.46 $false|spl0_29),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f432,f150])).
% 0.19/0.46 fof(f472,plain,(
% 0.19/0.46 spl0_29),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f471])).
% 0.19/0.46 fof(f473,plain,(
% 0.19/0.46 spl0_35 <=> epsilon_transitive(sk0_13)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f475,plain,(
% 0.19/0.46 ~epsilon_transitive(sk0_13)|spl0_35),
% 0.19/0.46 inference(component_clause,[status(thm)],[f473])).
% 0.19/0.46 fof(f476,plain,(
% 0.19/0.46 spl0_36 <=> ordinal(sk0_13)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f479,plain,(
% 0.19/0.46 ~epsilon_transitive(sk0_13)|ordinal(sk0_13)),
% 0.19/0.46 inference(resolution,[status(thm)],[f166,f68])).
% 0.19/0.46 fof(f480,plain,(
% 0.19/0.46 ~spl0_35|spl0_36),
% 0.19/0.46 inference(split_clause,[status(thm)],[f479,f473,f476])).
% 0.19/0.46 fof(f481,plain,(
% 0.19/0.46 $false|spl0_35),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f475,f165])).
% 0.19/0.46 fof(f482,plain,(
% 0.19/0.46 spl0_35),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f481])).
% 0.19/0.46 fof(f493,plain,(
% 0.19/0.46 ![X0]: (~empty(singleton(X0)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f237,f215])).
% 0.19/0.46 fof(f494,plain,(
% 0.19/0.46 ![X0]: (~in(singleton(X0),X0))),
% 0.19/0.46 inference(resolution,[status(thm)],[f237,f55])).
% 0.19/0.46 fof(f504,plain,(
% 0.19/0.46 spl0_41 <=> empty(sk0_6)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f506,plain,(
% 0.19/0.46 ~empty(sk0_6)|spl0_41),
% 0.19/0.46 inference(component_clause,[status(thm)],[f504])).
% 0.19/0.46 fof(f507,plain,(
% 0.19/0.46 spl0_42 <=> one_to_one(sk0_6)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f510,plain,(
% 0.19/0.46 ~empty(sk0_6)|one_to_one(sk0_6)),
% 0.19/0.46 inference(resolution,[status(thm)],[f335,f313])).
% 0.19/0.46 fof(f511,plain,(
% 0.19/0.46 ~spl0_41|spl0_42),
% 0.19/0.46 inference(split_clause,[status(thm)],[f510,f504,f507])).
% 0.19/0.46 fof(f512,plain,(
% 0.19/0.46 $false|spl0_41),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f506,f138])).
% 0.19/0.46 fof(f513,plain,(
% 0.19/0.46 spl0_41),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f512])).
% 0.19/0.46 fof(f514,plain,(
% 0.19/0.46 spl0_43 <=> empty(sk0_7)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f516,plain,(
% 0.19/0.46 ~empty(sk0_7)|spl0_43),
% 0.19/0.46 inference(component_clause,[status(thm)],[f514])).
% 0.19/0.46 fof(f517,plain,(
% 0.19/0.46 spl0_44 <=> one_to_one(sk0_7)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f520,plain,(
% 0.19/0.46 ~empty(sk0_7)|one_to_one(sk0_7)),
% 0.19/0.46 inference(resolution,[status(thm)],[f340,f313])).
% 0.19/0.46 fof(f521,plain,(
% 0.19/0.46 ~spl0_43|spl0_44),
% 0.19/0.46 inference(split_clause,[status(thm)],[f520,f514,f517])).
% 0.19/0.46 fof(f522,plain,(
% 0.19/0.46 $false|spl0_43),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f516,f141])).
% 0.19/0.46 fof(f523,plain,(
% 0.19/0.46 spl0_43),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f522])).
% 0.19/0.46 fof(f525,plain,(
% 0.19/0.46 ![X0,X1]: (X0=singleton(X1)|sk0_0(X0,X1)=X1|~empty(X0))),
% 0.19/0.46 inference(resolution,[status(thm)],[f83,f215])).
% 0.19/0.46 fof(f529,plain,(
% 0.19/0.46 ![X0]: (set_union2(empty_set,X0)=X0)),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f73,f189])).
% 0.19/0.46 fof(f537,plain,(
% 0.19/0.46 ![X0,X1]: (~epsilon_transitive(X0)|subset(sk0_0(X0,X1),X0)|X0=singleton(X1)|sk0_0(X0,X1)=X1)),
% 0.19/0.46 inference(resolution,[status(thm)],[f88,f83])).
% 0.19/0.46 fof(f538,plain,(
% 0.19/0.46 spl0_45 <=> subset(sk0_17,sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f539,plain,(
% 0.19/0.46 subset(sk0_17,sk0_18)|~spl0_45),
% 0.19/0.46 inference(component_clause,[status(thm)],[f538])).
% 0.19/0.46 fof(f541,plain,(
% 0.19/0.46 ~epsilon_transitive(sk0_18)|subset(sk0_17,sk0_18)|~spl0_2),
% 0.19/0.46 inference(resolution,[status(thm)],[f88,f229])).
% 0.19/0.46 fof(f542,plain,(
% 0.19/0.46 ~spl0_23|spl0_45|~spl0_2),
% 0.19/0.46 inference(split_clause,[status(thm)],[f541,f389,f538,f228])).
% 0.19/0.46 fof(f543,plain,(
% 0.19/0.46 ![X0]: (~epsilon_transitive(singleton(X0))|subset(X0,singleton(X0)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f88,f237])).
% 0.19/0.46 fof(f544,plain,(
% 0.19/0.46 ![X0]: (~epsilon_transitive(succ(X0))|subset(X0,succ(X0)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f88,f188])).
% 0.19/0.46 fof(f545,plain,(
% 0.19/0.46 $false|spl0_23),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f391,f248])).
% 0.19/0.46 fof(f546,plain,(
% 0.19/0.46 spl0_23),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f545])).
% 0.19/0.46 fof(f547,plain,(
% 0.19/0.46 ![X0]: (~epsilon_transitive(succ(X0))|~ordinal(X0)|~ordinal(succ(X0))|ordinal_subset(X0,succ(X0)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f544,f182])).
% 0.19/0.46 fof(f548,plain,(
% 0.19/0.46 ![X0]: (~ordinal(X0)|~ordinal(succ(X0))|ordinal_subset(X0,succ(X0)))),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f547,f59])).
% 0.19/0.46 fof(f549,plain,(
% 0.19/0.46 ![X0]: (~ordinal(X0)|ordinal_subset(X0,succ(X0)))),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f548,f122])).
% 0.19/0.46 fof(f550,plain,(
% 0.19/0.46 ![X0]: (~ordinal(X0)|~ordinal(X0)|~ordinal(succ(X0))|subset(X0,succ(X0)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f549,f181])).
% 0.19/0.46 fof(f551,plain,(
% 0.19/0.46 ![X0]: (~ordinal(X0)|~ordinal(succ(X0))|subset(X0,succ(X0)))),
% 0.19/0.46 inference(duplicate_literals_removal,[status(esa)],[f550])).
% 0.19/0.46 fof(f552,plain,(
% 0.19/0.46 ![X0]: (~ordinal(X0)|subset(X0,succ(X0)))),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f551,f122])).
% 0.19/0.46 fof(f583,plain,(
% 0.19/0.46 succ(empty_set)=singleton(empty_set)),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f76,f529])).
% 0.19/0.46 fof(f589,plain,(
% 0.19/0.46 ![X0]: (epsilon_transitive(singleton(X0))|sk0_1(singleton(X0))=X0)),
% 0.19/0.46 inference(resolution,[status(thm)],[f89,f236])).
% 0.19/0.46 fof(f602,plain,(
% 0.19/0.46 ![X0]: (~in(X0,succ(empty_set))|X0=empty_set)),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f583,f236])).
% 0.19/0.46 fof(f605,plain,(
% 0.19/0.46 spl0_46 <=> ~empty(X0)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f606,plain,(
% 0.19/0.46 ![X0]: (~empty(X0)|~spl0_46)),
% 0.19/0.46 inference(component_clause,[status(thm)],[f605])).
% 0.19/0.46 fof(f620,plain,(
% 0.19/0.46 ![X0]: (~in(X0,sk0_18)|in(X0,succ(sk0_17))|~spl0_8)),
% 0.19/0.46 inference(resolution,[status(thm)],[f95,f287])).
% 0.19/0.46 fof(f621,plain,(
% 0.19/0.46 ![X0,X1]: (~in(X0,X1)|in(X0,succ(X1))|~ordinal(X1))),
% 0.19/0.46 inference(resolution,[status(thm)],[f95,f552])).
% 0.19/0.46 fof(f622,plain,(
% 0.19/0.46 ![X0,X1]: (~in(X0,X1)|in(X0,succ(X1))|~epsilon_transitive(succ(X1)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f95,f544])).
% 0.19/0.46 fof(f623,plain,(
% 0.19/0.46 ![X0,X1,X2]: (~in(X0,X1)|in(X0,X2)|~ordinal(X1)|~ordinal(X2)|ordinal_subset(X2,X1))),
% 0.19/0.46 inference(resolution,[status(thm)],[f95,f241])).
% 0.19/0.46 fof(f624,plain,(
% 0.19/0.46 ![X0,X1]: (subset(singleton(X0),X1)|sk0_2(X1,singleton(X0))=X0)),
% 0.19/0.46 inference(resolution,[status(thm)],[f96,f236])).
% 0.19/0.46 fof(f627,plain,(
% 0.19/0.46 ![X0,X1]: (subset(X0,X1)|~empty(X0))),
% 0.19/0.46 inference(resolution,[status(thm)],[f96,f215])).
% 0.19/0.46 fof(f628,plain,(
% 0.19/0.46 ![X0,X1]: (subset(X0,X1)|~in(X0,sk0_2(X1,X0)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f96,f55])).
% 0.19/0.46 fof(f631,plain,(
% 0.19/0.46 ![X0]: (~in(X0,sk0_17)|in(X0,sk0_18)|~spl0_45)),
% 0.19/0.46 inference(resolution,[status(thm)],[f539,f95])).
% 0.19/0.46 fof(f632,plain,(
% 0.19/0.46 spl0_47 <=> ordinal_subset(sk0_17,sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f633,plain,(
% 0.19/0.46 ordinal_subset(sk0_17,sk0_18)|~spl0_47),
% 0.19/0.46 inference(component_clause,[status(thm)],[f632])).
% 0.19/0.46 fof(f635,plain,(
% 0.19/0.46 ~ordinal(sk0_17)|~ordinal(sk0_18)|ordinal_subset(sk0_17,sk0_18)|~spl0_45),
% 0.19/0.46 inference(resolution,[status(thm)],[f539,f182])).
% 0.19/0.46 fof(f636,plain,(
% 0.19/0.46 ~spl0_22|~spl0_5|spl0_47|~spl0_45),
% 0.19/0.46 inference(split_clause,[status(thm)],[f635,f384,f258,f632,f538])).
% 0.19/0.46 fof(f658,plain,(
% 0.19/0.46 ![X0]: (~in(X0,succ(sk0_17))|in(X0,sk0_18)|~spl0_6)),
% 0.19/0.46 inference(resolution,[status(thm)],[f262,f95])).
% 0.19/0.46 fof(f671,plain,(
% 0.19/0.46 spl0_51 <=> in(sk0_1(succ(sk0_17)),sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f674,plain,(
% 0.19/0.46 in(sk0_1(succ(sk0_17)),sk0_18)|epsilon_transitive(succ(sk0_17))|~spl0_6),
% 0.19/0.46 inference(resolution,[status(thm)],[f658,f89])).
% 0.19/0.46 fof(f675,plain,(
% 0.19/0.46 spl0_51|spl0_24|~spl0_6),
% 0.19/0.46 inference(split_clause,[status(thm)],[f674,f671,f394,f261])).
% 0.19/0.46 fof(f677,plain,(
% 0.19/0.46 in(sk0_17,sk0_18)|~spl0_6),
% 0.19/0.46 inference(resolution,[status(thm)],[f658,f188])).
% 0.19/0.46 fof(f678,plain,(
% 0.19/0.46 spl0_2|~spl0_6),
% 0.19/0.46 inference(split_clause,[status(thm)],[f677,f228,f261])).
% 0.19/0.46 fof(f713,plain,(
% 0.19/0.46 ![X0]: (in(sk0_2(X0,sk0_17),sk0_18)|subset(sk0_17,X0)|~spl0_45)),
% 0.19/0.46 inference(resolution,[status(thm)],[f631,f96])).
% 0.19/0.46 fof(f719,plain,(
% 0.19/0.46 ![X0]: (in(sk0_0(sk0_17,X0),sk0_18)|sk0_17=singleton(X0)|sk0_0(sk0_17,X0)=X0|~spl0_45)),
% 0.19/0.46 inference(resolution,[status(thm)],[f631,f83])).
% 0.19/0.46 fof(f720,plain,(
% 0.19/0.46 ![X0]: (~in(sk0_2(succ(sk0_17),X0),sk0_18)|subset(X0,succ(sk0_17))|~spl0_8)),
% 0.19/0.46 inference(resolution,[status(thm)],[f620,f97])).
% 0.19/0.46 fof(f723,plain,(
% 0.19/0.46 ![X0]: (~in(X0,sk0_18)|element(X0,succ(sk0_17))|~spl0_8)),
% 0.19/0.46 inference(resolution,[status(thm)],[f620,f191])).
% 0.19/0.46 fof(f724,plain,(
% 0.19/0.46 spl0_54 <=> ~in(X0,sk0_18)|subset(X0,succ(sk0_17))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f725,plain,(
% 0.19/0.46 ![X0]: (~in(X0,sk0_18)|subset(X0,succ(sk0_17))|~spl0_54)),
% 0.19/0.46 inference(component_clause,[status(thm)],[f724])).
% 0.19/0.46 fof(f727,plain,(
% 0.19/0.46 ![X0]: (~in(X0,sk0_18)|~epsilon_transitive(succ(sk0_17))|subset(X0,succ(sk0_17))|~spl0_8)),
% 0.19/0.46 inference(resolution,[status(thm)],[f620,f88])).
% 0.19/0.46 fof(f728,plain,(
% 0.19/0.46 spl0_54|~spl0_24|~spl0_8),
% 0.19/0.46 inference(split_clause,[status(thm)],[f727,f724,f394,f286])).
% 0.19/0.46 fof(f732,plain,(
% 0.19/0.46 spl0_56 <=> empty(succ(sk0_17))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f737,plain,(
% 0.19/0.46 ![X0]: (~in(X0,sk0_18)|~in(succ(sk0_17),X0)|~spl0_8)),
% 0.19/0.46 inference(resolution,[status(thm)],[f620,f55])).
% 0.19/0.46 fof(f740,plain,(
% 0.19/0.46 ![X0]: (subset(sk0_17,X0)|element(sk0_2(X0,sk0_17),sk0_18)|~spl0_45)),
% 0.19/0.46 inference(resolution,[status(thm)],[f713,f191])).
% 0.19/0.46 fof(f741,plain,(
% 0.19/0.46 spl0_57 <=> subset(sk0_17,X0)|subset(sk0_2(X0,sk0_17),sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f742,plain,(
% 0.19/0.46 ![X0]: (subset(sk0_17,X0)|subset(sk0_2(X0,sk0_17),sk0_18)|~spl0_57)),
% 0.19/0.46 inference(component_clause,[status(thm)],[f741])).
% 0.19/0.46 fof(f744,plain,(
% 0.19/0.46 ![X0]: (subset(sk0_17,X0)|~epsilon_transitive(sk0_18)|subset(sk0_2(X0,sk0_17),sk0_18)|~spl0_45)),
% 0.19/0.46 inference(resolution,[status(thm)],[f713,f88])).
% 0.19/0.46 fof(f745,plain,(
% 0.19/0.46 spl0_57|~spl0_23|~spl0_45),
% 0.19/0.46 inference(split_clause,[status(thm)],[f744,f741,f389,f538])).
% 0.19/0.46 fof(f749,plain,(
% 0.19/0.46 spl0_59 <=> empty(sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f756,plain,(
% 0.19/0.46 spl0_60 <=> sk0_17=singleton(X0)|sk0_0(sk0_17,X0)=X0|subset(sk0_0(sk0_17,X0),sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f759,plain,(
% 0.19/0.46 ![X0]: (sk0_17=singleton(X0)|sk0_0(sk0_17,X0)=X0|~epsilon_transitive(sk0_18)|subset(sk0_0(sk0_17,X0),sk0_18)|~spl0_45)),
% 0.19/0.46 inference(resolution,[status(thm)],[f719,f88])).
% 0.19/0.46 fof(f760,plain,(
% 0.19/0.46 spl0_60|~spl0_23|~spl0_45),
% 0.19/0.46 inference(split_clause,[status(thm)],[f759,f756,f389,f538])).
% 0.19/0.46 fof(f768,plain,(
% 0.19/0.46 ![X0]: (~empty(sk0_1(X0))|epsilon_transitive(X0))),
% 0.19/0.46 inference(resolution,[status(thm)],[f627,f90])).
% 0.19/0.46 fof(f770,plain,(
% 0.19/0.46 ![X0,X1]: (~empty(X0)|~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X1))),
% 0.19/0.46 inference(resolution,[status(thm)],[f627,f182])).
% 0.19/0.46 fof(f771,plain,(
% 0.19/0.46 ![X0,X1]: (~empty(X0)|~ordinal(X1)|ordinal_subset(X0,X1))),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f770,f72])).
% 0.19/0.46 fof(f774,plain,(
% 0.19/0.46 ~empty(succ(sk0_17))|~ordinal(sk0_18)|spl0_3),
% 0.19/0.46 inference(resolution,[status(thm)],[f771,f233])).
% 0.19/0.46 fof(f775,plain,(
% 0.19/0.46 ~spl0_56|~spl0_5|spl0_3),
% 0.19/0.46 inference(split_clause,[status(thm)],[f774,f732,f258,f231])).
% 0.19/0.46 fof(f778,plain,(
% 0.19/0.46 ![X0,X1]: (~in(sk0_2(succ(X0),X1),X0)|~ordinal(X0)|subset(X1,succ(X0)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f621,f97])).
% 0.19/0.46 fof(f779,plain,(
% 0.19/0.46 ![X0]: (~in(singleton(succ(X0)),X0)|~ordinal(X0))),
% 0.19/0.46 inference(resolution,[status(thm)],[f621,f494])).
% 0.19/0.46 fof(f780,plain,(
% 0.19/0.46 ![X0]: (~in(succ(succ(X0)),X0)|~ordinal(X0))),
% 0.19/0.46 inference(resolution,[status(thm)],[f621,f238])).
% 0.19/0.46 fof(f782,plain,(
% 0.19/0.46 ![X0,X1]: (~in(X0,X1)|~ordinal(X1)|~epsilon_transitive(succ(X1))|subset(X0,succ(X1)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f621,f88])).
% 0.19/0.46 fof(f783,plain,(
% 0.19/0.46 ![X0,X1]: (~in(X0,X1)|~ordinal(X1)|subset(X0,succ(X1)))),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f782,f120])).
% 0.19/0.46 fof(f786,plain,(
% 0.19/0.46 ![X0,X1]: (~in(sk0_2(succ(X0),X1),X0)|~epsilon_transitive(succ(X0))|subset(X1,succ(X0)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f622,f97])).
% 0.19/0.46 fof(f787,plain,(
% 0.19/0.46 ![X0]: (~in(singleton(succ(X0)),X0)|~epsilon_transitive(succ(X0)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f622,f494])).
% 0.19/0.46 fof(f788,plain,(
% 0.19/0.46 ![X0]: (~in(succ(succ(X0)),X0)|~epsilon_transitive(succ(X0)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f622,f238])).
% 0.19/0.46 fof(f794,plain,(
% 0.19/0.46 spl0_62 <=> in(singleton(succ(succ(sk0_17))),sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f797,plain,(
% 0.19/0.46 ~ordinal(succ(sk0_17))|~in(singleton(succ(succ(sk0_17))),sk0_18)|~spl0_8),
% 0.19/0.46 inference(resolution,[status(thm)],[f779,f620])).
% 0.19/0.46 fof(f798,plain,(
% 0.19/0.46 ~spl0_4|~spl0_62|~spl0_8),
% 0.19/0.46 inference(split_clause,[status(thm)],[f797,f255,f794,f286])).
% 0.19/0.46 fof(f801,plain,(
% 0.19/0.46 ![X0]: (~ordinal(succ(X0))|~in(singleton(succ(succ(X0))),X0)|~ordinal(X0))),
% 0.19/0.46 inference(resolution,[status(thm)],[f779,f621])).
% 0.19/0.46 fof(f802,plain,(
% 0.19/0.46 ![X0]: (~in(singleton(succ(succ(X0))),X0)|~ordinal(X0))),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f801,f122])).
% 0.19/0.46 fof(f803,plain,(
% 0.19/0.46 spl0_63 <=> in(succ(succ(succ(sk0_17))),sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f806,plain,(
% 0.19/0.46 ~ordinal(succ(sk0_17))|~in(succ(succ(succ(sk0_17))),sk0_18)|~spl0_8),
% 0.19/0.46 inference(resolution,[status(thm)],[f780,f620])).
% 0.19/0.46 fof(f807,plain,(
% 0.19/0.46 ~spl0_4|~spl0_63|~spl0_8),
% 0.19/0.46 inference(split_clause,[status(thm)],[f806,f255,f803,f286])).
% 0.19/0.46 fof(f810,plain,(
% 0.19/0.46 ![X0]: (~ordinal(succ(X0))|~in(succ(succ(succ(X0))),X0)|~ordinal(X0))),
% 0.19/0.46 inference(resolution,[status(thm)],[f780,f621])).
% 0.19/0.46 fof(f811,plain,(
% 0.19/0.46 ![X0]: (~in(succ(succ(succ(X0))),X0)|~ordinal(X0))),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f810,f122])).
% 0.19/0.46 fof(f813,plain,(
% 0.19/0.46 ![X0,X1,X2]: (~in(X0,X1)|~ordinal(X1)|~in(X2,X0)|in(X2,succ(X1)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f783,f95])).
% 0.19/0.46 fof(f821,plain,(
% 0.19/0.46 spl0_64 <=> epsilon_transitive(succ(succ(sk0_17)))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f823,plain,(
% 0.19/0.46 ~epsilon_transitive(succ(succ(sk0_17)))|spl0_64),
% 0.19/0.46 inference(component_clause,[status(thm)],[f821])).
% 0.19/0.46 fof(f832,plain,(
% 0.19/0.46 spl0_65 <=> in(singleton(succ(succ(succ(sk0_17)))),sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f835,plain,(
% 0.19/0.46 ~ordinal(succ(sk0_17))|~in(singleton(succ(succ(succ(sk0_17)))),sk0_18)|~spl0_8),
% 0.19/0.46 inference(resolution,[status(thm)],[f802,f620])).
% 0.19/0.46 fof(f836,plain,(
% 0.19/0.46 ~spl0_4|~spl0_65|~spl0_8),
% 0.19/0.46 inference(split_clause,[status(thm)],[f835,f255,f832,f286])).
% 0.19/0.46 fof(f839,plain,(
% 0.19/0.46 ![X0]: (~ordinal(succ(X0))|~in(singleton(succ(succ(succ(X0)))),X0)|~ordinal(X0))),
% 0.19/0.46 inference(resolution,[status(thm)],[f802,f621])).
% 0.19/0.46 fof(f840,plain,(
% 0.19/0.46 ![X0]: (~in(singleton(succ(succ(succ(X0)))),X0)|~ordinal(X0))),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f839,f122])).
% 0.19/0.46 fof(f841,plain,(
% 0.19/0.46 spl0_66 <=> in(succ(succ(succ(succ(sk0_17)))),sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f844,plain,(
% 0.19/0.46 ~ordinal(succ(sk0_17))|~in(succ(succ(succ(succ(sk0_17)))),sk0_18)|~spl0_8),
% 0.19/0.46 inference(resolution,[status(thm)],[f811,f620])).
% 0.19/0.46 fof(f845,plain,(
% 0.19/0.46 ~spl0_4|~spl0_66|~spl0_8),
% 0.19/0.46 inference(split_clause,[status(thm)],[f844,f255,f841,f286])).
% 0.19/0.46 fof(f848,plain,(
% 0.19/0.46 ![X0]: (~ordinal(succ(X0))|~in(succ(succ(succ(succ(X0)))),X0)|~ordinal(X0))),
% 0.19/0.46 inference(resolution,[status(thm)],[f811,f621])).
% 0.19/0.46 fof(f849,plain,(
% 0.19/0.46 ![X0]: (~in(succ(succ(succ(succ(X0)))),X0)|~ordinal(X0))),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f848,f122])).
% 0.19/0.46 fof(f855,plain,(
% 0.19/0.46 spl0_68 <=> in(sk0_2(X0,sk0_17),X1)|~ordinal(X1)|ordinal_subset(X1,sk0_18)|subset(sk0_17,X0)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f858,plain,(
% 0.19/0.46 ![X0,X1]: (in(sk0_2(X0,sk0_17),X1)|~ordinal(sk0_18)|~ordinal(X1)|ordinal_subset(X1,sk0_18)|subset(sk0_17,X0)|~spl0_45)),
% 0.19/0.46 inference(resolution,[status(thm)],[f623,f713])).
% 0.19/0.46 fof(f859,plain,(
% 0.19/0.46 spl0_68|~spl0_5|~spl0_45),
% 0.19/0.46 inference(split_clause,[status(thm)],[f858,f855,f258,f538])).
% 0.19/0.46 fof(f860,plain,(
% 0.19/0.46 ![X0,X1,X2]: (in(sk0_2(X0,X1),X2)|~ordinal(X1)|~ordinal(X2)|ordinal_subset(X2,X1)|subset(X1,X0))),
% 0.19/0.46 inference(resolution,[status(thm)],[f623,f96])).
% 0.19/0.46 fof(f862,plain,(
% 0.19/0.46 spl0_69 <=> in(sk0_0(sk0_17,X0),X1)|~ordinal(X1)|ordinal_subset(X1,sk0_18)|sk0_17=singleton(X0)|sk0_0(sk0_17,X0)=X0),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f865,plain,(
% 0.19/0.46 ![X0,X1]: (in(sk0_0(sk0_17,X0),X1)|~ordinal(sk0_18)|~ordinal(X1)|ordinal_subset(X1,sk0_18)|sk0_17=singleton(X0)|sk0_0(sk0_17,X0)=X0|~spl0_45)),
% 0.19/0.46 inference(resolution,[status(thm)],[f623,f719])).
% 0.19/0.46 fof(f866,plain,(
% 0.19/0.46 spl0_69|~spl0_5|~spl0_45),
% 0.19/0.46 inference(split_clause,[status(thm)],[f865,f862,f258,f538])).
% 0.19/0.46 fof(f867,plain,(
% 0.19/0.46 ![X0,X1,X2]: (in(sk0_0(X0,X1),X2)|~ordinal(X0)|~ordinal(X2)|ordinal_subset(X2,X0)|X0=singleton(X1)|sk0_0(X0,X1)=X1)),
% 0.19/0.46 inference(resolution,[status(thm)],[f623,f83])).
% 0.19/0.46 fof(f869,plain,(
% 0.19/0.46 spl0_70 <=> in(X0,X1)|~ordinal(X1)|ordinal_subset(X1,succ(sk0_17))|~in(X0,sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f872,plain,(
% 0.19/0.46 ![X0,X1]: (in(X0,X1)|~ordinal(succ(sk0_17))|~ordinal(X1)|ordinal_subset(X1,succ(sk0_17))|~in(X0,sk0_18)|~spl0_8)),
% 0.19/0.46 inference(resolution,[status(thm)],[f623,f620])).
% 0.19/0.46 fof(f873,plain,(
% 0.19/0.46 spl0_70|~spl0_4|~spl0_8),
% 0.19/0.46 inference(split_clause,[status(thm)],[f872,f869,f255,f286])).
% 0.19/0.46 fof(f879,plain,(
% 0.19/0.46 spl0_71 <=> epsilon_transitive(succ(sk0_18))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f881,plain,(
% 0.19/0.46 ~epsilon_transitive(succ(sk0_18))|spl0_71),
% 0.19/0.46 inference(component_clause,[status(thm)],[f879])).
% 0.19/0.46 fof(f882,plain,(
% 0.19/0.46 spl0_72 <=> subset(sk0_17,succ(sk0_18))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f883,plain,(
% 0.19/0.46 subset(sk0_17,succ(sk0_18))|~spl0_72),
% 0.19/0.46 inference(component_clause,[status(thm)],[f882])).
% 0.19/0.46 fof(f885,plain,(
% 0.19/0.46 ~epsilon_transitive(succ(sk0_18))|subset(sk0_17,succ(sk0_18))|subset(sk0_17,succ(sk0_18))|~spl0_45),
% 0.19/0.46 inference(resolution,[status(thm)],[f786,f713])).
% 0.19/0.46 fof(f886,plain,(
% 0.19/0.46 ~spl0_71|spl0_72|~spl0_45),
% 0.19/0.46 inference(split_clause,[status(thm)],[f885,f879,f882,f538])).
% 0.19/0.46 fof(f889,plain,(
% 0.19/0.46 spl0_73 <=> subset(X0,succ(succ(sk0_17)))|~in(sk0_2(succ(succ(sk0_17)),X0),sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f892,plain,(
% 0.19/0.46 ![X0]: (~epsilon_transitive(succ(succ(sk0_17)))|subset(X0,succ(succ(sk0_17)))|~in(sk0_2(succ(succ(sk0_17)),X0),sk0_18)|~spl0_8)),
% 0.19/0.46 inference(resolution,[status(thm)],[f786,f620])).
% 0.19/0.46 fof(f893,plain,(
% 0.19/0.46 ~spl0_64|spl0_73|~spl0_8),
% 0.19/0.46 inference(split_clause,[status(thm)],[f892,f821,f889,f286])).
% 0.19/0.46 fof(f902,plain,(
% 0.19/0.46 spl0_75 <=> epsilon_transitive(succ(empty_set))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f903,plain,(
% 0.19/0.46 epsilon_transitive(succ(empty_set))|~spl0_75),
% 0.19/0.46 inference(component_clause,[status(thm)],[f902])).
% 0.19/0.46 fof(f908,plain,(
% 0.19/0.46 spl0_76 <=> X0=empty_set|~in(X0,empty_set)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f909,plain,(
% 0.19/0.46 ![X0]: (X0=empty_set|~in(X0,empty_set)|~spl0_76)),
% 0.19/0.46 inference(component_clause,[status(thm)],[f908])).
% 0.19/0.46 fof(f911,plain,(
% 0.19/0.46 ![X0]: (X0=empty_set|~in(X0,empty_set)|~epsilon_transitive(succ(empty_set)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f602,f622])).
% 0.19/0.46 fof(f912,plain,(
% 0.19/0.46 spl0_76|~spl0_75),
% 0.19/0.46 inference(split_clause,[status(thm)],[f911,f908,f902])).
% 0.19/0.46 fof(f918,plain,(
% 0.19/0.46 ![X0]: (empty(X0)|in(sk0_3(X0),X0))),
% 0.19/0.46 inference(resolution,[status(thm)],[f193,f99])).
% 0.19/0.46 fof(f924,plain,(
% 0.19/0.46 spl0_77 <=> empty(succ(empty_set))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f925,plain,(
% 0.19/0.46 empty(succ(empty_set))|~spl0_77),
% 0.19/0.46 inference(component_clause,[status(thm)],[f924])).
% 0.19/0.46 fof(f927,plain,(
% 0.19/0.46 spl0_78 <=> sk0_3(succ(empty_set))=empty_set),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f930,plain,(
% 0.19/0.46 empty(succ(empty_set))|sk0_3(succ(empty_set))=empty_set),
% 0.19/0.46 inference(resolution,[status(thm)],[f918,f602])).
% 0.19/0.46 fof(f931,plain,(
% 0.19/0.46 spl0_77|spl0_78),
% 0.19/0.46 inference(split_clause,[status(thm)],[f930,f924,f927])).
% 0.19/0.46 fof(f932,plain,(
% 0.19/0.46 spl0_79 <=> empty(sk0_17)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f933,plain,(
% 0.19/0.46 empty(sk0_17)|~spl0_79),
% 0.19/0.46 inference(component_clause,[status(thm)],[f932])).
% 0.19/0.46 fof(f935,plain,(
% 0.19/0.46 spl0_80 <=> in(sk0_3(sk0_17),sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f936,plain,(
% 0.19/0.46 in(sk0_3(sk0_17),sk0_18)|~spl0_80),
% 0.19/0.46 inference(component_clause,[status(thm)],[f935])).
% 0.19/0.46 fof(f938,plain,(
% 0.19/0.46 empty(sk0_17)|in(sk0_3(sk0_17),sk0_18)|~spl0_45),
% 0.19/0.46 inference(resolution,[status(thm)],[f918,f631])).
% 0.19/0.46 fof(f939,plain,(
% 0.19/0.46 spl0_79|spl0_80|~spl0_45),
% 0.19/0.46 inference(split_clause,[status(thm)],[f938,f932,f935,f538])).
% 0.19/0.46 fof(f940,plain,(
% 0.19/0.46 ![X0]: (empty(singleton(X0))|sk0_3(singleton(X0))=X0)),
% 0.19/0.46 inference(resolution,[status(thm)],[f918,f236])).
% 0.19/0.46 fof(f941,plain,(
% 0.19/0.46 ![X0]: (sk0_3(singleton(X0))=X0)),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f940,f493])).
% 0.19/0.46 fof(f945,plain,(
% 0.19/0.46 ![X0]: (empty(X0)|~in(X0,sk0_3(X0)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f918,f55])).
% 0.19/0.46 fof(f946,plain,(
% 0.19/0.46 $false|~spl0_77),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f925,f103])).
% 0.19/0.46 fof(f947,plain,(
% 0.19/0.46 ~spl0_77),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f946])).
% 0.19/0.46 fof(f948,plain,(
% 0.19/0.46 sk0_3(succ(empty_set))=empty_set),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f583,f941])).
% 0.19/0.46 fof(f951,plain,(
% 0.19/0.46 spl0_81 <=> in(empty_set,succ(empty_set))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f954,plain,(
% 0.19/0.46 empty(succ(empty_set))|in(empty_set,succ(empty_set))),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f948,f918])).
% 0.19/0.46 fof(f955,plain,(
% 0.19/0.46 spl0_77|spl0_81),
% 0.19/0.46 inference(split_clause,[status(thm)],[f954,f924,f951])).
% 0.19/0.46 fof(f957,plain,(
% 0.19/0.46 spl0_82 <=> in(succ(empty_set),empty_set)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f960,plain,(
% 0.19/0.46 empty(succ(empty_set))|~in(succ(empty_set),empty_set)),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f948,f945])).
% 0.19/0.46 fof(f961,plain,(
% 0.19/0.46 spl0_77|~spl0_82),
% 0.19/0.46 inference(split_clause,[status(thm)],[f960,f924,f957])).
% 0.19/0.46 fof(f963,plain,(
% 0.19/0.46 ![X0,X1]: (~epsilon_transitive(singleton(X0))|~in(X1,X0)|in(X1,singleton(X0)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f543,f95])).
% 0.19/0.46 fof(f964,plain,(
% 0.19/0.46 ![X0]: (~epsilon_transitive(singleton(X0))|~ordinal(X0)|~ordinal(singleton(X0))|ordinal_subset(X0,singleton(X0)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f543,f182])).
% 0.19/0.46 fof(f965,plain,(
% 0.19/0.46 ![X0]: (~ordinal(X0)|~ordinal(singleton(X0))|ordinal_subset(X0,singleton(X0)))),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f964,f59])).
% 0.19/0.46 fof(f966,plain,(
% 0.19/0.46 spl0_83 <=> epsilon_transitive(singleton(empty_set))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f968,plain,(
% 0.19/0.46 ~epsilon_transitive(singleton(empty_set))|spl0_83),
% 0.19/0.46 inference(component_clause,[status(thm)],[f966])).
% 0.19/0.46 fof(f969,plain,(
% 0.19/0.46 spl0_84 <=> subset(empty_set,succ(empty_set))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f972,plain,(
% 0.19/0.46 ~epsilon_transitive(singleton(empty_set))|subset(empty_set,succ(empty_set))),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f583,f543])).
% 0.19/0.46 fof(f973,plain,(
% 0.19/0.46 ~spl0_83|spl0_84),
% 0.19/0.46 inference(split_clause,[status(thm)],[f972,f966,f969])).
% 0.19/0.46 fof(f974,plain,(
% 0.19/0.46 ~epsilon_transitive(succ(empty_set))|spl0_83),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f583,f968])).
% 0.19/0.46 fof(f977,plain,(
% 0.19/0.46 ![X0]: (~empty(X0)|epsilon_transitive(singleton(X0))|epsilon_transitive(singleton(X0)))),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f589,f768])).
% 0.19/0.46 fof(f978,plain,(
% 0.19/0.46 ![X0]: (~empty(X0)|epsilon_transitive(singleton(X0)))),
% 0.19/0.46 inference(duplicate_literals_removal,[status(esa)],[f977])).
% 0.19/0.46 fof(f987,plain,(
% 0.19/0.46 ~empty(empty_set)|epsilon_transitive(succ(empty_set))),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f583,f978])).
% 0.19/0.46 fof(f988,plain,(
% 0.19/0.46 ~spl0_11|spl0_75),
% 0.19/0.46 inference(split_clause,[status(thm)],[f987,f322,f902])).
% 0.19/0.46 fof(f996,plain,(
% 0.19/0.46 spl0_85 <=> relation(empty_set)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f998,plain,(
% 0.19/0.46 ~relation(empty_set)|spl0_85),
% 0.19/0.46 inference(component_clause,[status(thm)],[f996])).
% 0.19/0.46 fof(f999,plain,(
% 0.19/0.46 spl0_86 <=> ~relation(X0)|relation(X0)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f1002,plain,(
% 0.19/0.46 ![X0]: (~relation(empty_set)|~relation(X0)|relation(X0))),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f529,f114])).
% 0.19/0.46 fof(f1003,plain,(
% 0.19/0.46 ~spl0_85|spl0_86),
% 0.19/0.46 inference(split_clause,[status(thm)],[f1002,f996,f999])).
% 0.19/0.46 fof(f1009,plain,(
% 0.19/0.46 $false|spl0_85),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f998,f101])).
% 0.19/0.46 fof(f1010,plain,(
% 0.19/0.46 spl0_85),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f1009])).
% 0.19/0.46 fof(f1018,plain,(
% 0.19/0.46 ![X0,X1,X2]: (~in(X0,X1)|element(X0,X2)|~subset(X1,X2))),
% 0.19/0.46 inference(resolution,[status(thm)],[f207,f204])).
% 0.19/0.46 fof(f1021,plain,(
% 0.19/0.46 ![X0,X1]: (~in(X0,sk0_3(powerset(X1)))|~empty(X1))),
% 0.19/0.46 inference(resolution,[status(thm)],[f210,f99])).
% 0.19/0.46 fof(f1022,plain,(
% 0.19/0.46 ![X0,X1,X2]: (~in(X0,X1)|~empty(X2)|~subset(X1,X2))),
% 0.19/0.46 inference(resolution,[status(thm)],[f210,f204])).
% 0.19/0.46 fof(f1025,plain,(
% 0.19/0.46 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X2,X1)|~ordinal(set_union2(X0,X2))|~ordinal(X1)|ordinal_subset(set_union2(X0,X2),X1))),
% 0.19/0.46 inference(resolution,[status(thm)],[f220,f182])).
% 0.19/0.46 fof(f1026,plain,(
% 0.19/0.46 ![X0,X1]: (~subset(X0,X1)|~subset(singleton(X0),X1)|subset(succ(X0),X1))),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f76,f220])).
% 0.19/0.46 fof(f1030,plain,(
% 0.19/0.46 sk0_17=empty_set|~spl0_79),
% 0.19/0.46 inference(resolution,[status(thm)],[f933,f212])).
% 0.19/0.46 fof(f1045,plain,(
% 0.19/0.46 subset(sk0_18,succ(empty_set))|~spl0_79|~spl0_8),
% 0.19/0.46 inference(backward_demodulation,[status(thm)],[f1030,f287])).
% 0.19/0.46 fof(f1046,plain,(
% 0.19/0.46 ordinal_subset(sk0_18,succ(empty_set))|~spl0_79|~spl0_7),
% 0.19/0.46 inference(backward_demodulation,[status(thm)],[f1030,f276])).
% 0.19/0.46 fof(f1052,plain,(
% 0.19/0.46 ordinal_subset(empty_set,sk0_18)|~spl0_79|~spl0_47),
% 0.19/0.46 inference(backward_demodulation,[status(thm)],[f1030,f633])).
% 0.19/0.46 fof(f1064,plain,(
% 0.19/0.46 ~ordinal(sk0_18)|spl0_71),
% 0.19/0.46 inference(resolution,[status(thm)],[f881,f120])).
% 0.19/0.46 fof(f1065,plain,(
% 0.19/0.46 ~spl0_5|spl0_71),
% 0.19/0.46 inference(split_clause,[status(thm)],[f1064,f258,f879])).
% 0.19/0.46 fof(f1073,plain,(
% 0.19/0.46 spl0_88 <=> subset(empty_set,sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f1095,plain,(
% 0.19/0.46 ~ordinal(empty_set)|~ordinal(sk0_18)|subset(empty_set,sk0_18)|~spl0_79|~spl0_47),
% 0.19/0.46 inference(resolution,[status(thm)],[f1052,f181])).
% 0.19/0.46 fof(f1096,plain,(
% 0.19/0.46 ~spl0_26|~spl0_5|spl0_88|~spl0_79|~spl0_47),
% 0.19/0.46 inference(split_clause,[status(thm)],[f1095,f403,f258,f1073,f932,f632])).
% 0.19/0.46 fof(f1114,plain,(
% 0.19/0.46 $false|~spl0_75|spl0_83),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f974,f903])).
% 0.19/0.46 fof(f1115,plain,(
% 0.19/0.46 ~spl0_75|spl0_83),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f1114])).
% 0.19/0.46 fof(f1127,plain,(
% 0.19/0.46 ~ordinal(succ(sk0_17))|spl0_64),
% 0.19/0.46 inference(resolution,[status(thm)],[f823,f120])).
% 0.19/0.46 fof(f1128,plain,(
% 0.19/0.46 ~spl0_4|spl0_64),
% 0.19/0.46 inference(split_clause,[status(thm)],[f1127,f255,f821])).
% 0.19/0.46 fof(f1134,plain,(
% 0.19/0.46 ![X0]: (sk0_2(X0,empty_set)=empty_set|subset(empty_set,X0)|~spl0_76)),
% 0.19/0.46 inference(resolution,[status(thm)],[f909,f96])).
% 0.19/0.46 fof(f1141,plain,(
% 0.19/0.46 spl0_93 <=> in(sk0_3(sk0_17),X0)|~ordinal(X0)|ordinal_subset(X0,sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f1144,plain,(
% 0.19/0.46 ![X0]: (in(sk0_3(sk0_17),X0)|~ordinal(sk0_18)|~ordinal(X0)|ordinal_subset(X0,sk0_18)|~spl0_80)),
% 0.19/0.46 inference(resolution,[status(thm)],[f936,f623])).
% 0.19/0.46 fof(f1145,plain,(
% 0.19/0.46 spl0_93|~spl0_5|~spl0_80),
% 0.19/0.46 inference(split_clause,[status(thm)],[f1144,f1141,f258,f935])).
% 0.19/0.46 fof(f1147,plain,(
% 0.19/0.46 spl0_94 <=> subset(sk0_3(sk0_17),sk0_18)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f1148,plain,(
% 0.19/0.46 subset(sk0_3(sk0_17),sk0_18)|~spl0_94),
% 0.19/0.46 inference(component_clause,[status(thm)],[f1147])).
% 0.19/0.46 fof(f1150,plain,(
% 0.19/0.46 ~epsilon_transitive(sk0_18)|subset(sk0_3(sk0_17),sk0_18)|~spl0_80),
% 0.19/0.46 inference(resolution,[status(thm)],[f936,f88])).
% 0.19/0.46 fof(f1151,plain,(
% 0.19/0.46 ~spl0_23|spl0_94|~spl0_80),
% 0.19/0.46 inference(split_clause,[status(thm)],[f1150,f389,f1147,f935])).
% 0.19/0.46 fof(f1168,plain,(
% 0.19/0.46 ![X0]: (~ordinal(X0)|~ordinal(singleton(X0))|~ordinal(X0)|~ordinal(singleton(X0))|subset(X0,singleton(X0)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f965,f181])).
% 0.19/0.46 fof(f1169,plain,(
% 0.19/0.46 ![X0]: (~ordinal(X0)|~ordinal(singleton(X0))|subset(X0,singleton(X0)))),
% 0.19/0.46 inference(duplicate_literals_removal,[status(esa)],[f1168])).
% 0.19/0.46 fof(f1170,plain,(
% 0.19/0.46 spl0_95 <=> ordinal(singleton(empty_set))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f1172,plain,(
% 0.19/0.46 ~ordinal(singleton(empty_set))|spl0_95),
% 0.19/0.46 inference(component_clause,[status(thm)],[f1170])).
% 0.19/0.46 fof(f1173,plain,(
% 0.19/0.46 spl0_96 <=> ordinal_subset(empty_set,succ(empty_set))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f1176,plain,(
% 0.19/0.46 ~ordinal(empty_set)|~ordinal(singleton(empty_set))|ordinal_subset(empty_set,succ(empty_set))),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f583,f965])).
% 0.19/0.46 fof(f1177,plain,(
% 0.19/0.46 ~spl0_26|~spl0_95|spl0_96),
% 0.19/0.46 inference(split_clause,[status(thm)],[f1176,f403,f1170,f1173])).
% 0.19/0.46 fof(f1178,plain,(
% 0.19/0.46 ~ordinal(succ(empty_set))|spl0_95),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f583,f1172])).
% 0.19/0.46 fof(f1191,plain,(
% 0.19/0.46 ![X0,X1]: (~subset(X0,X1)|~subset(singleton(X0),X1)|~ordinal(set_union2(X0,singleton(X0)))|~ordinal(X1)|ordinal_subset(succ(X0),X1))),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f76,f1025])).
% 0.19/0.46 fof(f1192,plain,(
% 0.19/0.46 ![X0,X1]: (~subset(X0,X1)|~subset(singleton(X0),X1)|~ordinal(succ(X0))|~ordinal(X1)|ordinal_subset(succ(X0),X1))),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f76,f1191])).
% 0.19/0.46 fof(f1211,plain,(
% 0.19/0.46 ![X0]: (~ordinal(succ(X0))|~in(singleton(succ(succ(succ(succ(X0))))),X0)|~ordinal(X0))),
% 0.19/0.46 inference(resolution,[status(thm)],[f840,f621])).
% 0.19/0.46 fof(f1212,plain,(
% 0.19/0.46 ![X0]: (~in(singleton(succ(succ(succ(succ(X0))))),X0)|~ordinal(X0))),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1211,f122])).
% 0.19/0.46 fof(f1215,plain,(
% 0.19/0.47 ![X0]: (~ordinal(succ(X0))|~in(succ(succ(succ(succ(succ(X0))))),X0)|~ordinal(X0))),
% 0.19/0.47 inference(resolution,[status(thm)],[f849,f621])).
% 0.19/0.47 fof(f1216,plain,(
% 0.19/0.47 ![X0]: (~in(succ(succ(succ(succ(succ(X0))))),X0)|~ordinal(X0))),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1215,f122])).
% 0.19/0.47 fof(f1229,plain,(
% 0.19/0.47 ![X0,X1]: (~in(X0,X1)|~ordinal(X1)|~in(singleton(succ(X1)),X0))),
% 0.19/0.47 inference(resolution,[status(thm)],[f813,f494])).
% 0.19/0.47 fof(f1241,plain,(
% 0.19/0.47 spl0_97 <=> ~in(X0,empty_set)|~in(X1,X0)|X1=empty_set),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1244,plain,(
% 0.19/0.47 ![X0,X1]: (~in(X0,empty_set)|~ordinal(empty_set)|~in(X1,X0)|X1=empty_set)),
% 0.19/0.47 inference(resolution,[status(thm)],[f813,f602])).
% 0.19/0.47 fof(f1245,plain,(
% 0.19/0.47 spl0_97|~spl0_26),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1244,f1241,f403])).
% 0.19/0.47 fof(f1253,plain,(
% 0.19/0.47 ![X0]: (~in(singleton(singleton(succ(X0))),X0)|~ordinal(X0))),
% 0.19/0.47 inference(resolution,[status(thm)],[f1229,f237])).
% 0.19/0.47 fof(f1257,plain,(
% 0.19/0.47 ![X0]: (~in(succ(singleton(succ(X0))),X0)|~ordinal(X0))),
% 0.19/0.47 inference(resolution,[status(thm)],[f1229,f188])).
% 0.19/0.47 fof(f1262,plain,(
% 0.19/0.47 ![X0]: (~ordinal(succ(X0))|~in(singleton(singleton(succ(succ(X0)))),X0)|~ordinal(X0))),
% 0.19/0.47 inference(resolution,[status(thm)],[f1253,f621])).
% 0.19/0.47 fof(f1263,plain,(
% 0.19/0.47 ![X0]: (~in(singleton(singleton(succ(succ(X0)))),X0)|~ordinal(X0))),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1262,f122])).
% 0.19/0.47 fof(f1282,plain,(
% 0.19/0.47 spl0_98 <=> ~subset(empty_set,X0)|~subset(succ(empty_set),X0)|~ordinal(X0)|ordinal_subset(succ(empty_set),X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1283,plain,(
% 0.19/0.47 ![X0]: (~subset(empty_set,X0)|~subset(succ(empty_set),X0)|~ordinal(X0)|ordinal_subset(succ(empty_set),X0)|~spl0_98)),
% 0.19/0.47 inference(component_clause,[status(thm)],[f1282])).
% 0.19/0.47 fof(f1285,plain,(
% 0.19/0.47 spl0_99 <=> ordinal(succ(empty_set))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1287,plain,(
% 0.19/0.47 ~ordinal(succ(empty_set))|spl0_99),
% 0.19/0.47 inference(component_clause,[status(thm)],[f1285])).
% 0.19/0.47 fof(f1288,plain,(
% 0.19/0.47 ![X0]: (~subset(empty_set,X0)|~subset(succ(empty_set),X0)|~ordinal(succ(empty_set))|~ordinal(X0)|ordinal_subset(succ(empty_set),X0))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f583,f1192])).
% 0.19/0.47 fof(f1289,plain,(
% 0.19/0.47 spl0_98|~spl0_99),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1288,f1282,f1285])).
% 0.19/0.47 fof(f1291,plain,(
% 0.19/0.47 ![X0,X1]: (~empty(X0)|subset(sk0_3(powerset(X0)),X1))),
% 0.19/0.47 inference(resolution,[status(thm)],[f1021,f96])).
% 0.19/0.47 fof(f1307,plain,(
% 0.19/0.47 spl0_100 <=> ~in(X0,sk0_17)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1308,plain,(
% 0.19/0.47 ![X0]: (~in(X0,sk0_17)|~spl0_100)),
% 0.19/0.47 inference(component_clause,[status(thm)],[f1307])).
% 0.19/0.47 fof(f1310,plain,(
% 0.19/0.47 ![X0]: (~in(X0,sk0_17)|~empty(sk0_18)|~spl0_45)),
% 0.19/0.47 inference(resolution,[status(thm)],[f1022,f539])).
% 0.19/0.47 fof(f1311,plain,(
% 0.19/0.47 spl0_100|~spl0_59|~spl0_45),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1310,f1307,f749,f538])).
% 0.19/0.47 fof(f1320,plain,(
% 0.19/0.47 spl0_101 <=> ~in(X0,X1)|~empty(X1)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1323,plain,(
% 0.19/0.47 ![X0,X1,X2]: (~in(X0,X1)|~empty(X2)|~empty(X1))),
% 0.19/0.47 inference(resolution,[status(thm)],[f1022,f627])).
% 0.19/0.47 fof(f1324,plain,(
% 0.19/0.47 spl0_101|spl0_46),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1323,f1320,f605])).
% 0.19/0.47 fof(f1328,plain,(
% 0.19/0.47 spl0_102 <=> ~empty(X0)|~in(X1,sk0_3(powerset(X0)))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1331,plain,(
% 0.19/0.47 ![X0,X1,X2]: (~empty(X0)|~in(X1,sk0_3(powerset(X0)))|~empty(X2))),
% 0.19/0.47 inference(resolution,[status(thm)],[f1291,f1022])).
% 0.19/0.47 fof(f1332,plain,(
% 0.19/0.47 spl0_102|spl0_46),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1331,f1328,f605])).
% 0.19/0.47 fof(f1360,plain,(
% 0.19/0.47 ![X0,X1]: (~epsilon_transitive(X0)|X0=singleton(X1)|sk0_0(X0,X1)=X1|~ordinal(sk0_0(X0,X1))|~ordinal(X0)|ordinal_subset(sk0_0(X0,X1),X0))),
% 0.19/0.47 inference(resolution,[status(thm)],[f537,f182])).
% 0.19/0.47 fof(f1361,plain,(
% 0.19/0.47 ![X0,X1]: (X0=singleton(X1)|sk0_0(X0,X1)=X1|~ordinal(sk0_0(X0,X1))|~ordinal(X0)|ordinal_subset(sk0_0(X0,X1),X0))),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1360,f59])).
% 0.19/0.47 fof(f1370,plain,(
% 0.19/0.47 spl0_103 <=> empty(succ(sk0_18))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1373,plain,(
% 0.19/0.47 ![X0]: (~in(X0,sk0_17)|~empty(succ(sk0_18))|~spl0_72)),
% 0.19/0.47 inference(resolution,[status(thm)],[f883,f1022])).
% 0.19/0.47 fof(f1374,plain,(
% 0.19/0.47 spl0_100|~spl0_103|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1373,f1307,f1370,f882])).
% 0.19/0.47 fof(f1375,plain,(
% 0.19/0.47 ![X0]: (~in(X0,sk0_17)|in(X0,succ(sk0_18))|~spl0_72)),
% 0.19/0.47 inference(resolution,[status(thm)],[f883,f95])).
% 0.19/0.47 fof(f1376,plain,(
% 0.19/0.47 spl0_104 <=> ordinal(succ(sk0_18))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1378,plain,(
% 0.19/0.47 ~ordinal(succ(sk0_18))|spl0_104),
% 0.19/0.47 inference(component_clause,[status(thm)],[f1376])).
% 0.19/0.47 fof(f1379,plain,(
% 0.19/0.47 spl0_105 <=> ordinal_subset(sk0_17,succ(sk0_18))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1382,plain,(
% 0.19/0.47 ~ordinal(sk0_17)|~ordinal(succ(sk0_18))|ordinal_subset(sk0_17,succ(sk0_18))|~spl0_72),
% 0.19/0.47 inference(resolution,[status(thm)],[f883,f182])).
% 0.19/0.47 fof(f1383,plain,(
% 0.19/0.47 ~spl0_22|~spl0_104|spl0_105|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1382,f384,f1376,f1379,f882])).
% 0.19/0.47 fof(f1384,plain,(
% 0.19/0.47 ~ordinal(sk0_18)|spl0_104),
% 0.19/0.47 inference(resolution,[status(thm)],[f1378,f122])).
% 0.19/0.47 fof(f1385,plain,(
% 0.19/0.47 ~spl0_5|spl0_104),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1384,f258,f1376])).
% 0.19/0.47 fof(f1394,plain,(
% 0.19/0.47 ~ordinal(empty_set)|spl0_95),
% 0.19/0.47 inference(resolution,[status(thm)],[f1178,f122])).
% 0.19/0.47 fof(f1395,plain,(
% 0.19/0.47 $false|spl0_95),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1394,f244])).
% 0.19/0.47 fof(f1396,plain,(
% 0.19/0.47 spl0_95),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f1395])).
% 0.19/0.47 fof(f1398,plain,(
% 0.19/0.47 ~ordinal(empty_set)|spl0_99),
% 0.19/0.47 inference(resolution,[status(thm)],[f1287,f122])).
% 0.19/0.47 fof(f1399,plain,(
% 0.19/0.47 $false|spl0_99),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1398,f244])).
% 0.19/0.47 fof(f1400,plain,(
% 0.19/0.47 spl0_99),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f1399])).
% 0.19/0.47 fof(f1411,plain,(
% 0.19/0.47 ![X0]: (~in(X0,sk0_3(sk0_17))|in(X0,sk0_18)|~spl0_94)),
% 0.19/0.47 inference(resolution,[status(thm)],[f1148,f95])).
% 0.19/0.47 fof(f1412,plain,(
% 0.19/0.47 spl0_107 <=> ordinal(sk0_3(sk0_17))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1415,plain,(
% 0.19/0.47 spl0_108 <=> ordinal_subset(sk0_3(sk0_17),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1418,plain,(
% 0.19/0.47 ~ordinal(sk0_3(sk0_17))|~ordinal(sk0_18)|ordinal_subset(sk0_3(sk0_17),sk0_18)|~spl0_94),
% 0.19/0.47 inference(resolution,[status(thm)],[f1148,f182])).
% 0.19/0.47 fof(f1419,plain,(
% 0.19/0.47 ~spl0_107|~spl0_5|spl0_108|~spl0_94),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1418,f1412,f258,f1415,f1147])).
% 0.19/0.47 fof(f1443,plain,(
% 0.19/0.47 $false|~spl0_46),
% 0.19/0.47 inference(backward_subsumption_resolution,[status(thm)],[f100,f606])).
% 0.19/0.47 fof(f1444,plain,(
% 0.19/0.47 ~spl0_46),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f1443])).
% 0.19/0.47 fof(f1471,plain,(
% 0.19/0.47 spl0_111 <=> in(singleton(singleton(succ(succ(sk0_17)))),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1474,plain,(
% 0.19/0.47 ~in(singleton(singleton(succ(succ(sk0_17)))),sk0_18)|~ordinal(succ(sk0_17))|~spl0_8),
% 0.19/0.47 inference(resolution,[status(thm)],[f620,f1253])).
% 0.19/0.47 fof(f1475,plain,(
% 0.19/0.47 ~spl0_111|~spl0_4|~spl0_8),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1474,f1471,f255,f286])).
% 0.19/0.47 fof(f1476,plain,(
% 0.19/0.47 spl0_112 <=> in(singleton(succ(succ(succ(succ(sk0_17))))),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1479,plain,(
% 0.19/0.47 ~in(singleton(succ(succ(succ(succ(sk0_17))))),sk0_18)|~ordinal(succ(sk0_17))|~spl0_8),
% 0.19/0.47 inference(resolution,[status(thm)],[f620,f840])).
% 0.19/0.47 fof(f1480,plain,(
% 0.19/0.47 ~spl0_112|~spl0_4|~spl0_8),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1479,f1476,f255,f286])).
% 0.19/0.47 fof(f1494,plain,(
% 0.19/0.47 spl0_114 <=> in(succ(succ(succ(succ(succ(sk0_17))))),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1497,plain,(
% 0.19/0.47 ~in(succ(succ(succ(succ(succ(sk0_17))))),sk0_18)|~ordinal(succ(sk0_17))|~spl0_8),
% 0.19/0.47 inference(resolution,[status(thm)],[f620,f849])).
% 0.19/0.47 fof(f1498,plain,(
% 0.19/0.47 ~spl0_114|~spl0_4|~spl0_8),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1497,f1494,f255,f286])).
% 0.19/0.47 fof(f1616,plain,(
% 0.19/0.47 ![X0,X1]: (subset(singleton(X0),X1)|~in(X0,X1)|subset(singleton(X0),X1))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f624,f97])).
% 0.19/0.47 fof(f1617,plain,(
% 0.19/0.47 ![X0,X1]: (subset(singleton(X0),X1)|~in(X0,X1))),
% 0.19/0.47 inference(duplicate_literals_removal,[status(esa)],[f1616])).
% 0.19/0.47 fof(f1620,plain,(
% 0.19/0.47 spl0_115 <=> ~in(X0,sk0_18)|in(X0,succ(sk0_17))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1623,plain,(
% 0.19/0.47 ![X0]: (~in(X0,sk0_18)|empty(succ(sk0_17))|in(X0,succ(sk0_17))|~spl0_8)),
% 0.19/0.47 inference(resolution,[status(thm)],[f723,f193])).
% 0.19/0.47 fof(f1624,plain,(
% 0.19/0.47 spl0_115|spl0_56|~spl0_8),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1623,f1620,f732,f286])).
% 0.19/0.47 fof(f1626,plain,(
% 0.19/0.47 spl0_116 <=> in(succ(sk0_17),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1629,plain,(
% 0.19/0.47 ~in(succ(sk0_17),sk0_18)|~in(succ(sk0_17),sk0_18)|~spl0_8),
% 0.19/0.47 inference(resolution,[status(thm)],[f737,f620])).
% 0.19/0.47 fof(f1630,plain,(
% 0.19/0.47 ~spl0_116|~spl0_8),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1629,f1626,f286])).
% 0.19/0.47 fof(f1635,plain,(
% 0.19/0.47 spl0_117 <=> ~in(singleton(X0),sk0_18)|~subset(X0,succ(sk0_17))|~ordinal(succ(X0))|ordinal_subset(succ(X0),succ(sk0_17))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1638,plain,(
% 0.19/0.47 ![X0]: (~in(singleton(X0),sk0_18)|~subset(X0,succ(sk0_17))|~ordinal(succ(X0))|~ordinal(succ(sk0_17))|ordinal_subset(succ(X0),succ(sk0_17))|~spl0_54)),
% 0.19/0.47 inference(resolution,[status(thm)],[f725,f1192])).
% 0.19/0.47 fof(f1639,plain,(
% 0.19/0.47 spl0_117|~spl0_4|~spl0_54),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1638,f1635,f255,f724])).
% 0.19/0.47 fof(f1640,plain,(
% 0.19/0.47 ~in(sk0_1(succ(sk0_17)),sk0_18)|epsilon_transitive(succ(sk0_17))|~spl0_54),
% 0.19/0.47 inference(resolution,[status(thm)],[f725,f90])).
% 0.19/0.47 fof(f1641,plain,(
% 0.19/0.47 ~spl0_51|spl0_24|~spl0_54),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1640,f671,f394,f724])).
% 0.19/0.47 fof(f1643,plain,(
% 0.19/0.47 spl0_118 <=> ~in(X0,sk0_18)|~ordinal(X0)|ordinal_subset(X0,succ(sk0_17))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1646,plain,(
% 0.19/0.47 ![X0]: (~in(X0,sk0_18)|~ordinal(X0)|~ordinal(succ(sk0_17))|ordinal_subset(X0,succ(sk0_17))|~spl0_54)),
% 0.19/0.47 inference(resolution,[status(thm)],[f725,f182])).
% 0.19/0.47 fof(f1647,plain,(
% 0.19/0.47 spl0_118|~spl0_4|~spl0_54),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1646,f1643,f255,f724])).
% 0.19/0.47 fof(f1650,plain,(
% 0.19/0.47 spl0_119 <=> subset(empty_set,X0)|subset(empty_set,X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1651,plain,(
% 0.19/0.47 ![X0]: (subset(empty_set,X0)|subset(empty_set,X0)|~spl0_119)),
% 0.19/0.47 inference(component_clause,[status(thm)],[f1650])).
% 0.19/0.47 fof(f1658,plain,(
% 0.19/0.47 spl0_121 <=> in(empty_set,empty_set)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1661,plain,(
% 0.19/0.47 ![X0]: (subset(empty_set,X0)|~in(empty_set,empty_set)|subset(empty_set,X0)|~spl0_76)),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f1134,f628])).
% 0.19/0.47 fof(f1662,plain,(
% 0.19/0.47 spl0_119|~spl0_121|~spl0_76),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1661,f1650,f1658,f908])).
% 0.19/0.47 fof(f1665,plain,(
% 0.19/0.47 ![X0]: (subset(empty_set,X0)|in(empty_set,empty_set)|subset(empty_set,X0)|~spl0_76)),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f1134,f96])).
% 0.19/0.47 fof(f1666,plain,(
% 0.19/0.47 spl0_119|spl0_121|~spl0_76),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1665,f1650,f1658,f908])).
% 0.19/0.47 fof(f1667,plain,(
% 0.19/0.47 ![X0]: (subset(empty_set,X0)|~spl0_119)),
% 0.19/0.47 inference(duplicate_literals_removal,[status(esa)],[f1651])).
% 0.19/0.47 fof(f1670,plain,(
% 0.19/0.47 spl0_122 <=> ~ordinal(X0)|ordinal_subset(empty_set,X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1671,plain,(
% 0.19/0.47 ![X0]: (~ordinal(X0)|ordinal_subset(empty_set,X0)|~spl0_122)),
% 0.19/0.47 inference(component_clause,[status(thm)],[f1670])).
% 0.19/0.47 fof(f1673,plain,(
% 0.19/0.47 ![X0]: (~ordinal(empty_set)|~ordinal(X0)|ordinal_subset(empty_set,X0)|~spl0_119)),
% 0.19/0.47 inference(resolution,[status(thm)],[f1667,f182])).
% 0.19/0.47 fof(f1674,plain,(
% 0.19/0.47 ~spl0_26|spl0_122|~spl0_119),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1673,f403,f1670,f1650])).
% 0.19/0.47 fof(f1675,plain,(
% 0.19/0.47 spl0_123 <=> ~ordinal(X0)|~ordinal(X0)|subset(empty_set,X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1678,plain,(
% 0.19/0.47 ![X0]: (~ordinal(X0)|~ordinal(empty_set)|~ordinal(X0)|subset(empty_set,X0)|~spl0_122)),
% 0.19/0.47 inference(resolution,[status(thm)],[f1671,f181])).
% 0.19/0.47 fof(f1679,plain,(
% 0.19/0.47 spl0_123|~spl0_26|~spl0_122),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1678,f1675,f403,f1670])).
% 0.19/0.47 fof(f1705,plain,(
% 0.19/0.47 spl0_128 <=> ~in(sk0_2(succ(succ(sk0_18)),X0),sk0_17)|subset(X0,succ(succ(sk0_18)))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1708,plain,(
% 0.19/0.47 spl0_129 <=> epsilon_transitive(succ(succ(sk0_18)))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1710,plain,(
% 0.19/0.47 ~epsilon_transitive(succ(succ(sk0_18)))|spl0_129),
% 0.19/0.47 inference(component_clause,[status(thm)],[f1708])).
% 0.19/0.47 fof(f1711,plain,(
% 0.19/0.47 ![X0]: (~in(sk0_2(succ(succ(sk0_18)),X0),sk0_17)|~epsilon_transitive(succ(succ(sk0_18)))|subset(X0,succ(succ(sk0_18)))|~spl0_72)),
% 0.19/0.47 inference(resolution,[status(thm)],[f1375,f786])).
% 0.19/0.47 fof(f1712,plain,(
% 0.19/0.47 spl0_128|~spl0_129|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1711,f1705,f1708,f882])).
% 0.19/0.47 fof(f1714,plain,(
% 0.19/0.47 spl0_130 <=> in(singleton(singleton(succ(succ(sk0_18)))),sk0_17)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1717,plain,(
% 0.19/0.47 ~in(singleton(singleton(succ(succ(sk0_18)))),sk0_17)|~ordinal(succ(sk0_18))|~spl0_72),
% 0.19/0.47 inference(resolution,[status(thm)],[f1375,f1253])).
% 0.19/0.47 fof(f1718,plain,(
% 0.19/0.47 ~spl0_130|~spl0_104|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1717,f1714,f1376,f882])).
% 0.19/0.47 fof(f1719,plain,(
% 0.19/0.47 spl0_131 <=> in(singleton(succ(succ(succ(succ(sk0_18))))),sk0_17)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1722,plain,(
% 0.19/0.47 ~in(singleton(succ(succ(succ(succ(sk0_18))))),sk0_17)|~ordinal(succ(sk0_18))|~spl0_72),
% 0.19/0.47 inference(resolution,[status(thm)],[f1375,f840])).
% 0.19/0.47 fof(f1723,plain,(
% 0.19/0.47 ~spl0_131|~spl0_104|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1722,f1719,f1376,f882])).
% 0.19/0.47 fof(f1724,plain,(
% 0.19/0.47 spl0_132 <=> in(singleton(succ(succ(succ(sk0_18)))),sk0_17)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1732,plain,(
% 0.19/0.47 ~in(singleton(succ(succ(succ(sk0_18)))),sk0_17)|~ordinal(succ(sk0_18))|~spl0_72),
% 0.19/0.47 inference(resolution,[status(thm)],[f1375,f802])).
% 0.19/0.47 fof(f1733,plain,(
% 0.19/0.47 ~spl0_132|~spl0_104|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1732,f1724,f1376,f882])).
% 0.19/0.47 fof(f1735,plain,(
% 0.19/0.47 spl0_134 <=> in(singleton(succ(succ(sk0_18))),sk0_17)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1738,plain,(
% 0.19/0.47 ~in(singleton(succ(succ(sk0_18))),sk0_17)|~epsilon_transitive(succ(succ(sk0_18)))|~spl0_72),
% 0.19/0.47 inference(resolution,[status(thm)],[f1375,f787])).
% 0.19/0.47 fof(f1739,plain,(
% 0.19/0.47 ~spl0_134|~spl0_129|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1738,f1735,f1708,f882])).
% 0.19/0.47 fof(f1743,plain,(
% 0.19/0.47 spl0_135 <=> in(succ(sk0_17),sk0_17)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1746,plain,(
% 0.19/0.47 spl0_136 <=> in(succ(sk0_18),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1749,plain,(
% 0.19/0.47 ~in(succ(sk0_17),sk0_17)|~in(succ(sk0_18),sk0_18)|~spl0_72|~spl0_8),
% 0.19/0.47 inference(resolution,[status(thm)],[f1375,f737])).
% 0.19/0.47 fof(f1750,plain,(
% 0.19/0.47 ~spl0_135|~spl0_136|~spl0_72|~spl0_8),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1749,f1743,f1746,f882,f286])).
% 0.19/0.47 fof(f1751,plain,(
% 0.19/0.47 spl0_137 <=> in(succ(succ(succ(succ(succ(sk0_18))))),sk0_17)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1754,plain,(
% 0.19/0.47 ~in(succ(succ(succ(succ(succ(sk0_18))))),sk0_17)|~ordinal(succ(sk0_18))|~spl0_72),
% 0.19/0.47 inference(resolution,[status(thm)],[f1375,f849])).
% 0.19/0.47 fof(f1755,plain,(
% 0.19/0.47 ~spl0_137|~spl0_104|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1754,f1751,f1376,f882])).
% 0.19/0.47 fof(f1756,plain,(
% 0.19/0.47 spl0_138 <=> in(succ(succ(succ(succ(sk0_18)))),sk0_17)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1761,plain,(
% 0.19/0.47 ~in(succ(succ(succ(succ(sk0_18)))),sk0_17)|~ordinal(succ(sk0_18))|~spl0_72),
% 0.19/0.47 inference(resolution,[status(thm)],[f1375,f811])).
% 0.19/0.47 fof(f1762,plain,(
% 0.19/0.47 ~spl0_138|~spl0_104|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1761,f1756,f1376,f882])).
% 0.19/0.47 fof(f1763,plain,(
% 0.19/0.47 spl0_139 <=> in(succ(succ(succ(sk0_18))),sk0_17)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1766,plain,(
% 0.19/0.47 ~in(succ(succ(succ(sk0_18))),sk0_17)|~epsilon_transitive(succ(succ(sk0_18)))|~spl0_72),
% 0.19/0.47 inference(resolution,[status(thm)],[f1375,f788])).
% 0.19/0.47 fof(f1767,plain,(
% 0.19/0.47 ~spl0_139|~spl0_129|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1766,f1763,f1708,f882])).
% 0.19/0.47 fof(f1775,plain,(
% 0.19/0.47 spl0_140 <=> ~in(X0,sk0_17)|in(X0,X1)|~ordinal(X1)|ordinal_subset(X1,succ(sk0_18))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1778,plain,(
% 0.19/0.47 ![X0,X1]: (~in(X0,sk0_17)|in(X0,X1)|~ordinal(succ(sk0_18))|~ordinal(X1)|ordinal_subset(X1,succ(sk0_18))|~spl0_72)),
% 0.19/0.47 inference(resolution,[status(thm)],[f1375,f623])).
% 0.19/0.47 fof(f1779,plain,(
% 0.19/0.47 spl0_140|~spl0_104|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1778,f1775,f1376,f882])).
% 0.19/0.47 fof(f1780,plain,(
% 0.19/0.47 ![X0]: (~in(X0,sk0_17)|element(X0,succ(sk0_18))|~spl0_72)),
% 0.19/0.47 inference(resolution,[status(thm)],[f1375,f191])).
% 0.19/0.47 fof(f1781,plain,(
% 0.19/0.47 spl0_141 <=> ~in(X0,sk0_17)|subset(X0,succ(sk0_18))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1784,plain,(
% 0.19/0.47 ![X0]: (~in(X0,sk0_17)|~epsilon_transitive(succ(sk0_18))|subset(X0,succ(sk0_18))|~spl0_72)),
% 0.19/0.47 inference(resolution,[status(thm)],[f1375,f88])).
% 0.19/0.47 fof(f1785,plain,(
% 0.19/0.47 spl0_141|~spl0_71|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1784,f1781,f879,f882])).
% 0.19/0.47 fof(f1787,plain,(
% 0.19/0.47 ~ordinal(succ(sk0_18))|spl0_129),
% 0.19/0.47 inference(resolution,[status(thm)],[f1710,f120])).
% 0.19/0.47 fof(f1788,plain,(
% 0.19/0.47 ~spl0_104|spl0_129),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1787,f1376,f1708])).
% 0.19/0.47 fof(f1789,plain,(
% 0.19/0.47 ![X0]: (~subset(succ(empty_set),X0)|~ordinal(X0)|ordinal_subset(succ(empty_set),X0)|~spl0_119|~spl0_98)),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1283,f1667])).
% 0.19/0.47 fof(f1790,plain,(
% 0.19/0.47 spl0_142 <=> ordinal(singleton(succ(empty_set)))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1793,plain,(
% 0.19/0.47 spl0_143 <=> ordinal_subset(succ(empty_set),singleton(succ(empty_set)))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1796,plain,(
% 0.19/0.47 ~ordinal(singleton(succ(empty_set)))|ordinal_subset(succ(empty_set),singleton(succ(empty_set)))|~ordinal(succ(empty_set))|~ordinal(singleton(succ(empty_set)))|~spl0_119|~spl0_98),
% 0.19/0.47 inference(resolution,[status(thm)],[f1789,f1169])).
% 0.19/0.47 fof(f1797,plain,(
% 0.19/0.47 ~spl0_142|spl0_143|~spl0_99|~spl0_119|~spl0_98),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1796,f1790,f1793,f1285,f1650,f1282])).
% 0.19/0.47 fof(f1803,plain,(
% 0.19/0.47 spl0_145 <=> ordinal_subset(succ(empty_set),succ(sk0_17))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1806,plain,(
% 0.19/0.47 spl0_146 <=> in(succ(empty_set),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1809,plain,(
% 0.19/0.47 ~ordinal(succ(sk0_17))|ordinal_subset(succ(empty_set),succ(sk0_17))|~in(succ(empty_set),sk0_18)|~spl0_119|~spl0_98|~spl0_54),
% 0.19/0.47 inference(resolution,[status(thm)],[f1789,f725])).
% 0.19/0.47 fof(f1810,plain,(
% 0.19/0.47 ~spl0_4|spl0_145|~spl0_146|~spl0_119|~spl0_98|~spl0_54),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1809,f255,f1803,f1806,f1650,f1282,f724])).
% 0.19/0.47 fof(f1815,plain,(
% 0.19/0.47 spl0_147 <=> ordinal(succ(succ(empty_set)))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1816,plain,(
% 0.19/0.47 ordinal(succ(succ(empty_set)))|~spl0_147),
% 0.19/0.47 inference(component_clause,[status(thm)],[f1815])).
% 0.19/0.47 fof(f1817,plain,(
% 0.19/0.47 ~ordinal(succ(succ(empty_set)))|spl0_147),
% 0.19/0.47 inference(component_clause,[status(thm)],[f1815])).
% 0.19/0.47 fof(f1818,plain,(
% 0.19/0.47 spl0_148 <=> ordinal_subset(succ(empty_set),succ(succ(empty_set)))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1821,plain,(
% 0.19/0.47 ~ordinal(succ(succ(empty_set)))|ordinal_subset(succ(empty_set),succ(succ(empty_set)))|~ordinal(succ(empty_set))|~spl0_119|~spl0_98),
% 0.19/0.47 inference(resolution,[status(thm)],[f1789,f552])).
% 0.19/0.47 fof(f1822,plain,(
% 0.19/0.47 ~spl0_147|spl0_148|~spl0_99|~spl0_119|~spl0_98),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1821,f1815,f1818,f1285,f1650,f1282])).
% 0.19/0.47 fof(f1823,plain,(
% 0.19/0.47 spl0_149 <=> epsilon_transitive(succ(succ(empty_set)))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1825,plain,(
% 0.19/0.47 ~epsilon_transitive(succ(succ(empty_set)))|spl0_149),
% 0.19/0.47 inference(component_clause,[status(thm)],[f1823])).
% 0.19/0.47 fof(f1833,plain,(
% 0.19/0.47 spl0_151 <=> ordinal_subset(succ(empty_set),succ(empty_set))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1834,plain,(
% 0.19/0.47 ordinal_subset(succ(empty_set),succ(empty_set))|~spl0_151),
% 0.19/0.47 inference(component_clause,[status(thm)],[f1833])).
% 0.19/0.47 fof(f1836,plain,(
% 0.19/0.47 ~ordinal(succ(empty_set))|ordinal_subset(succ(empty_set),succ(empty_set))|~spl0_119|~spl0_98),
% 0.19/0.47 inference(resolution,[status(thm)],[f1789,f187])).
% 0.19/0.47 fof(f1837,plain,(
% 0.19/0.47 ~spl0_99|spl0_151|~spl0_119|~spl0_98),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1836,f1285,f1833,f1650,f1282])).
% 0.19/0.47 fof(f1838,plain,(
% 0.19/0.47 spl0_152 <=> ~ordinal(X0)|ordinal_subset(succ(empty_set),X0)|~ordinal(X0)|ordinal_subset(X0,succ(empty_set))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1841,plain,(
% 0.19/0.47 ![X0]: (~ordinal(X0)|ordinal_subset(succ(empty_set),X0)|~ordinal(succ(empty_set))|~ordinal(X0)|ordinal_subset(X0,succ(empty_set))|~spl0_119|~spl0_98)),
% 0.19/0.47 inference(resolution,[status(thm)],[f1789,f241])).
% 0.19/0.47 fof(f1842,plain,(
% 0.19/0.47 spl0_152|~spl0_99|~spl0_119|~spl0_98),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1841,f1838,f1285,f1650,f1282])).
% 0.19/0.47 fof(f1844,plain,(
% 0.19/0.47 ~ordinal(succ(empty_set))|spl0_147),
% 0.19/0.47 inference(resolution,[status(thm)],[f1817,f122])).
% 0.19/0.47 fof(f1845,plain,(
% 0.19/0.47 ~spl0_99|spl0_147),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1844,f1285,f1815])).
% 0.19/0.47 fof(f1847,plain,(
% 0.19/0.47 epsilon_transitive(succ(succ(empty_set)))|~spl0_147),
% 0.19/0.47 inference(resolution,[status(thm)],[f1816,f59])).
% 0.19/0.47 fof(f1858,plain,(
% 0.19/0.47 spl0_153 <=> subset(succ(empty_set),succ(empty_set))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1861,plain,(
% 0.19/0.47 ~ordinal(succ(empty_set))|~ordinal(succ(empty_set))|subset(succ(empty_set),succ(empty_set))|~spl0_151),
% 0.19/0.47 inference(resolution,[status(thm)],[f1834,f181])).
% 0.19/0.47 fof(f1862,plain,(
% 0.19/0.47 ~spl0_99|spl0_153|~spl0_151),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1861,f1285,f1858,f1833])).
% 0.19/0.47 fof(f1863,plain,(
% 0.19/0.47 spl0_154 <=> subset(sk0_17,succ(sk0_17))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1864,plain,(
% 0.19/0.47 subset(sk0_17,succ(sk0_17))|~spl0_154),
% 0.19/0.47 inference(component_clause,[status(thm)],[f1863])).
% 0.19/0.47 fof(f1866,plain,(
% 0.19/0.47 subset(sk0_17,succ(sk0_17))|subset(sk0_17,succ(sk0_17))|~spl0_8|~spl0_45),
% 0.19/0.47 inference(resolution,[status(thm)],[f720,f713])).
% 0.19/0.47 fof(f1867,plain,(
% 0.19/0.47 spl0_154|~spl0_8|~spl0_45),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1866,f1863,f286,f538])).
% 0.19/0.47 fof(f1872,plain,(
% 0.19/0.47 spl0_155 <=> subset(sk0_17,X0)|in(sk0_2(X0,sk0_17),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1875,plain,(
% 0.19/0.47 ![X0]: (subset(sk0_17,X0)|empty(sk0_18)|in(sk0_2(X0,sk0_17),sk0_18)|~spl0_45)),
% 0.19/0.47 inference(resolution,[status(thm)],[f740,f193])).
% 0.19/0.47 fof(f1876,plain,(
% 0.19/0.47 spl0_155|spl0_59|~spl0_45),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1875,f1872,f749,f538])).
% 0.19/0.47 fof(f1877,plain,(
% 0.19/0.47 spl0_156 <=> in(succ(singleton(succ(succ(sk0_18)))),sk0_17)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1880,plain,(
% 0.19/0.47 ~ordinal(succ(sk0_18))|~in(succ(singleton(succ(succ(sk0_18)))),sk0_17)|~spl0_72),
% 0.19/0.47 inference(resolution,[status(thm)],[f1257,f1375])).
% 0.19/0.47 fof(f1881,plain,(
% 0.19/0.47 ~spl0_104|~spl0_156|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1880,f1376,f1877,f882])).
% 0.19/0.47 fof(f1882,plain,(
% 0.19/0.47 spl0_157 <=> in(succ(singleton(succ(succ(sk0_17)))),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1885,plain,(
% 0.19/0.47 ~ordinal(succ(sk0_17))|~in(succ(singleton(succ(succ(sk0_17)))),sk0_18)|~spl0_8),
% 0.19/0.47 inference(resolution,[status(thm)],[f1257,f620])).
% 0.19/0.47 fof(f1886,plain,(
% 0.19/0.47 ~spl0_4|~spl0_157|~spl0_8),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1885,f255,f1882,f286])).
% 0.19/0.47 fof(f1891,plain,(
% 0.19/0.47 ![X0]: (~ordinal(succ(X0))|~in(succ(singleton(succ(succ(X0)))),X0)|~ordinal(X0))),
% 0.19/0.47 inference(resolution,[status(thm)],[f1257,f621])).
% 0.19/0.47 fof(f1892,plain,(
% 0.19/0.47 ![X0]: (~in(succ(singleton(succ(succ(X0)))),X0)|~ordinal(X0))),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1891,f122])).
% 0.19/0.47 fof(f1901,plain,(
% 0.19/0.47 spl0_158 <=> in(singleton(singleton(succ(succ(succ(sk0_18))))),sk0_17)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1904,plain,(
% 0.19/0.47 ~ordinal(succ(sk0_18))|~in(singleton(singleton(succ(succ(succ(sk0_18))))),sk0_17)|~spl0_72),
% 0.19/0.47 inference(resolution,[status(thm)],[f1263,f1375])).
% 0.19/0.47 fof(f1905,plain,(
% 0.19/0.47 ~spl0_104|~spl0_158|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1904,f1376,f1901,f882])).
% 0.19/0.47 fof(f1906,plain,(
% 0.19/0.47 spl0_159 <=> in(singleton(singleton(succ(succ(succ(sk0_17))))),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1909,plain,(
% 0.19/0.47 ~ordinal(succ(sk0_17))|~in(singleton(singleton(succ(succ(succ(sk0_17))))),sk0_18)|~spl0_8),
% 0.19/0.47 inference(resolution,[status(thm)],[f1263,f620])).
% 0.19/0.47 fof(f1910,plain,(
% 0.19/0.47 ~spl0_4|~spl0_159|~spl0_8),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1909,f255,f1906,f286])).
% 0.19/0.47 fof(f1931,plain,(
% 0.19/0.47 spl0_160 <=> in(succ(singleton(succ(succ(succ(sk0_18))))),sk0_17)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1934,plain,(
% 0.19/0.47 ~ordinal(succ(sk0_18))|~in(succ(singleton(succ(succ(succ(sk0_18))))),sk0_17)|~spl0_72),
% 0.19/0.47 inference(resolution,[status(thm)],[f1892,f1375])).
% 0.19/0.47 fof(f1935,plain,(
% 0.19/0.47 ~spl0_104|~spl0_160|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1934,f1376,f1931,f882])).
% 0.19/0.47 fof(f1936,plain,(
% 0.19/0.47 spl0_161 <=> in(succ(singleton(succ(succ(succ(sk0_17))))),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1939,plain,(
% 0.19/0.47 ~ordinal(succ(sk0_17))|~in(succ(singleton(succ(succ(succ(sk0_17))))),sk0_18)|~spl0_8),
% 0.19/0.47 inference(resolution,[status(thm)],[f1892,f620])).
% 0.19/0.47 fof(f1940,plain,(
% 0.19/0.47 ~spl0_4|~spl0_161|~spl0_8),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1939,f255,f1936,f286])).
% 0.19/0.47 fof(f1961,plain,(
% 0.19/0.47 spl0_162 <=> in(singleton(succ(succ(succ(succ(succ(sk0_18)))))),sk0_17)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1964,plain,(
% 0.19/0.47 ~ordinal(succ(sk0_18))|~in(singleton(succ(succ(succ(succ(succ(sk0_18)))))),sk0_17)|~spl0_72),
% 0.19/0.47 inference(resolution,[status(thm)],[f1212,f1375])).
% 0.19/0.47 fof(f1965,plain,(
% 0.19/0.47 ~spl0_104|~spl0_162|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1964,f1376,f1961,f882])).
% 0.19/0.47 fof(f1966,plain,(
% 0.19/0.47 spl0_163 <=> in(singleton(succ(succ(succ(succ(succ(sk0_17)))))),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1969,plain,(
% 0.19/0.47 ~ordinal(succ(sk0_17))|~in(singleton(succ(succ(succ(succ(succ(sk0_17)))))),sk0_18)|~spl0_8),
% 0.19/0.47 inference(resolution,[status(thm)],[f1212,f620])).
% 0.19/0.47 fof(f1970,plain,(
% 0.19/0.47 ~spl0_4|~spl0_163|~spl0_8),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1969,f255,f1966,f286])).
% 0.19/0.47 fof(f1977,plain,(
% 0.19/0.47 spl0_164 <=> in(succ(succ(succ(succ(succ(succ(sk0_18)))))),sk0_17)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1980,plain,(
% 0.19/0.47 ~ordinal(succ(sk0_18))|~in(succ(succ(succ(succ(succ(succ(sk0_18)))))),sk0_17)|~spl0_72),
% 0.19/0.47 inference(resolution,[status(thm)],[f1216,f1375])).
% 0.19/0.47 fof(f1981,plain,(
% 0.19/0.47 ~spl0_104|~spl0_164|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1980,f1376,f1977,f882])).
% 0.19/0.47 fof(f1982,plain,(
% 0.19/0.47 spl0_165 <=> in(succ(succ(succ(succ(succ(succ(sk0_17)))))),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f1985,plain,(
% 0.19/0.47 ~ordinal(succ(sk0_17))|~in(succ(succ(succ(succ(succ(succ(sk0_17)))))),sk0_18)|~spl0_8),
% 0.19/0.47 inference(resolution,[status(thm)],[f1216,f620])).
% 0.19/0.47 fof(f1986,plain,(
% 0.19/0.47 ~spl0_4|~spl0_165|~spl0_8),
% 0.19/0.47 inference(split_clause,[status(thm)],[f1985,f255,f1982,f286])).
% 0.19/0.47 fof(f2031,plain,(
% 0.19/0.47 ![X0]: (subset(succ(empty_set),X0)|~in(empty_set,X0))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f583,f1617])).
% 0.19/0.47 fof(f2033,plain,(
% 0.19/0.47 spl0_166 <=> ~in(X0,empty_set)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2034,plain,(
% 0.19/0.47 ![X0]: (~in(X0,empty_set)|~spl0_166)),
% 0.19/0.47 inference(component_clause,[status(thm)],[f2033])).
% 0.19/0.47 fof(f2036,plain,(
% 0.19/0.47 ![X0,X1]: (~in(X0,empty_set)|~empty(X1)|~spl0_119)),
% 0.19/0.47 inference(resolution,[status(thm)],[f1022,f1667])).
% 0.19/0.47 fof(f2037,plain,(
% 0.19/0.47 spl0_166|spl0_46|~spl0_119),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2036,f2033,f605,f1650])).
% 0.19/0.47 fof(f2071,plain,(
% 0.19/0.47 ![X0]: (~in(X0,sk0_17)|element(X0,sk0_18)|~spl0_45)),
% 0.19/0.47 inference(resolution,[status(thm)],[f1018,f539])).
% 0.19/0.47 fof(f2077,plain,(
% 0.19/0.47 ![X0,X1]: (~in(X0,X1)|element(X0,singleton(X1))|~epsilon_transitive(singleton(X1)))),
% 0.19/0.47 inference(resolution,[status(thm)],[f1018,f543])).
% 0.19/0.47 fof(f2138,plain,(
% 0.19/0.47 spl0_169 <=> ordinal_subset(sk0_17,succ(sk0_17))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2141,plain,(
% 0.19/0.47 ~ordinal(sk0_17)|~ordinal(succ(sk0_17))|ordinal_subset(sk0_17,succ(sk0_17))|~spl0_154),
% 0.19/0.47 inference(resolution,[status(thm)],[f1864,f182])).
% 0.19/0.47 fof(f2142,plain,(
% 0.19/0.47 ~spl0_22|~spl0_4|spl0_169|~spl0_154),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2141,f384,f255,f2138,f1863])).
% 0.19/0.47 fof(f2145,plain,(
% 0.19/0.47 spl0_170 <=> element(sk0_3(sk0_17),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2148,plain,(
% 0.19/0.47 element(sk0_3(sk0_17),sk0_18)|empty(sk0_17)|~spl0_45),
% 0.19/0.47 inference(resolution,[status(thm)],[f2071,f918])).
% 0.19/0.47 fof(f2149,plain,(
% 0.19/0.47 spl0_170|spl0_79|~spl0_45),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2148,f2145,f932,f538])).
% 0.19/0.47 fof(f2156,plain,(
% 0.19/0.47 ![X0]: (element(sk0_0(sk0_17,X0),sk0_18)|sk0_17=singleton(X0)|sk0_0(sk0_17,X0)=X0|~spl0_45)),
% 0.19/0.47 inference(resolution,[status(thm)],[f2071,f83])).
% 0.19/0.47 fof(f2157,plain,(
% 0.19/0.47 spl0_172 <=> in(sk0_3(sk0_3(sk0_17)),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2158,plain,(
% 0.19/0.47 in(sk0_3(sk0_3(sk0_17)),sk0_18)|~spl0_172),
% 0.19/0.47 inference(component_clause,[status(thm)],[f2157])).
% 0.19/0.47 fof(f2160,plain,(
% 0.19/0.47 spl0_173 <=> empty(sk0_3(sk0_17))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2163,plain,(
% 0.19/0.47 in(sk0_3(sk0_3(sk0_17)),sk0_18)|empty(sk0_3(sk0_17))|~spl0_94),
% 0.19/0.47 inference(resolution,[status(thm)],[f1411,f918])).
% 0.19/0.47 fof(f2164,plain,(
% 0.19/0.47 spl0_172|spl0_173|~spl0_94),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2163,f2157,f2160,f1147])).
% 0.19/0.47 fof(f2166,plain,(
% 0.19/0.47 spl0_174 <=> in(sk0_1(sk0_3(sk0_17)),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2167,plain,(
% 0.19/0.47 in(sk0_1(sk0_3(sk0_17)),sk0_18)|~spl0_174),
% 0.19/0.47 inference(component_clause,[status(thm)],[f2166])).
% 0.19/0.47 fof(f2169,plain,(
% 0.19/0.47 spl0_175 <=> epsilon_transitive(sk0_3(sk0_17))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2172,plain,(
% 0.19/0.47 in(sk0_1(sk0_3(sk0_17)),sk0_18)|epsilon_transitive(sk0_3(sk0_17))|~spl0_94),
% 0.19/0.47 inference(resolution,[status(thm)],[f1411,f89])).
% 0.19/0.47 fof(f2173,plain,(
% 0.19/0.47 spl0_174|spl0_175|~spl0_94),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2172,f2166,f2169,f1147])).
% 0.19/0.47 fof(f2175,plain,(
% 0.19/0.47 spl0_176 <=> in(sk0_3(sk0_3(sk0_17)),X0)|~ordinal(X0)|ordinal_subset(X0,sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2178,plain,(
% 0.19/0.47 ![X0]: (in(sk0_3(sk0_3(sk0_17)),X0)|~ordinal(sk0_18)|~ordinal(X0)|ordinal_subset(X0,sk0_18)|~spl0_172)),
% 0.19/0.47 inference(resolution,[status(thm)],[f2158,f623])).
% 0.19/0.47 fof(f2179,plain,(
% 0.19/0.47 spl0_176|~spl0_5|~spl0_172),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2178,f2175,f258,f2157])).
% 0.19/0.47 fof(f2181,plain,(
% 0.19/0.47 spl0_177 <=> subset(sk0_3(sk0_3(sk0_17)),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2182,plain,(
% 0.19/0.47 subset(sk0_3(sk0_3(sk0_17)),sk0_18)|~spl0_177),
% 0.19/0.47 inference(component_clause,[status(thm)],[f2181])).
% 0.19/0.47 fof(f2184,plain,(
% 0.19/0.47 ~epsilon_transitive(sk0_18)|subset(sk0_3(sk0_3(sk0_17)),sk0_18)|~spl0_172),
% 0.19/0.47 inference(resolution,[status(thm)],[f2158,f88])).
% 0.19/0.47 fof(f2185,plain,(
% 0.19/0.47 ~spl0_23|spl0_177|~spl0_172),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2184,f389,f2181,f2157])).
% 0.19/0.47 fof(f2187,plain,(
% 0.19/0.47 spl0_178 <=> sk0_17=singleton(X0)|sk0_0(sk0_17,X0)=X0|in(sk0_0(sk0_17,X0),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2190,plain,(
% 0.19/0.47 ![X0]: (sk0_17=singleton(X0)|sk0_0(sk0_17,X0)=X0|empty(sk0_18)|in(sk0_0(sk0_17,X0),sk0_18)|~spl0_45)),
% 0.19/0.47 inference(resolution,[status(thm)],[f2156,f193])).
% 0.19/0.47 fof(f2191,plain,(
% 0.19/0.47 spl0_178|spl0_59|~spl0_45),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2190,f2187,f749,f538])).
% 0.19/0.47 fof(f2194,plain,(
% 0.19/0.47 ![X0]: (empty_set=singleton(X0)|sk0_0(empty_set,X0)=X0|~spl0_166)),
% 0.19/0.47 inference(resolution,[status(thm)],[f2034,f83])).
% 0.19/0.47 fof(f2195,plain,(
% 0.19/0.47 spl0_179 <=> in(sk0_1(sk0_3(sk0_17)),X0)|~ordinal(X0)|ordinal_subset(X0,sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2198,plain,(
% 0.19/0.47 ![X0]: (in(sk0_1(sk0_3(sk0_17)),X0)|~ordinal(sk0_18)|~ordinal(X0)|ordinal_subset(X0,sk0_18)|~spl0_174)),
% 0.19/0.47 inference(resolution,[status(thm)],[f2167,f623])).
% 0.19/0.47 fof(f2199,plain,(
% 0.19/0.47 spl0_179|~spl0_5|~spl0_174),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2198,f2195,f258,f2166])).
% 0.19/0.47 fof(f2201,plain,(
% 0.19/0.47 spl0_180 <=> subset(sk0_1(sk0_3(sk0_17)),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2202,plain,(
% 0.19/0.47 subset(sk0_1(sk0_3(sk0_17)),sk0_18)|~spl0_180),
% 0.19/0.47 inference(component_clause,[status(thm)],[f2201])).
% 0.19/0.47 fof(f2204,plain,(
% 0.19/0.47 ~epsilon_transitive(sk0_18)|subset(sk0_1(sk0_3(sk0_17)),sk0_18)|~spl0_174),
% 0.19/0.47 inference(resolution,[status(thm)],[f2167,f88])).
% 0.19/0.47 fof(f2205,plain,(
% 0.19/0.47 ~spl0_23|spl0_180|~spl0_174),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2204,f389,f2201,f2166])).
% 0.19/0.47 fof(f2216,plain,(
% 0.19/0.47 spl0_182 <=> ordinal(sk0_3(sk0_3(sk0_17)))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2219,plain,(
% 0.19/0.47 spl0_183 <=> ordinal_subset(sk0_3(sk0_3(sk0_17)),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2222,plain,(
% 0.19/0.47 ~ordinal(sk0_3(sk0_3(sk0_17)))|~ordinal(sk0_18)|ordinal_subset(sk0_3(sk0_3(sk0_17)),sk0_18)|~spl0_177),
% 0.19/0.47 inference(resolution,[status(thm)],[f2182,f182])).
% 0.19/0.47 fof(f2223,plain,(
% 0.19/0.47 ~spl0_182|~spl0_5|spl0_183|~spl0_177),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2222,f2216,f258,f2219,f2181])).
% 0.19/0.47 fof(f2233,plain,(
% 0.19/0.47 spl0_185 <=> ordinal(sk0_1(sk0_3(sk0_17)))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2236,plain,(
% 0.19/0.47 spl0_186 <=> ordinal_subset(sk0_1(sk0_3(sk0_17)),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2239,plain,(
% 0.19/0.47 ~ordinal(sk0_1(sk0_3(sk0_17)))|~ordinal(sk0_18)|ordinal_subset(sk0_1(sk0_3(sk0_17)),sk0_18)|~spl0_180),
% 0.19/0.47 inference(resolution,[status(thm)],[f2202,f182])).
% 0.19/0.47 fof(f2240,plain,(
% 0.19/0.47 ~spl0_185|~spl0_5|spl0_186|~spl0_180),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2239,f2233,f258,f2236,f2201])).
% 0.19/0.47 fof(f2248,plain,(
% 0.19/0.47 spl0_188 <=> subset(sk0_17,X0)|~ordinal(sk0_2(X0,sk0_17))|ordinal_subset(sk0_2(X0,sk0_17),sk0_18)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2251,plain,(
% 0.19/0.47 ![X0]: (subset(sk0_17,X0)|~ordinal(sk0_2(X0,sk0_17))|~ordinal(sk0_18)|ordinal_subset(sk0_2(X0,sk0_17),sk0_18)|~spl0_57)),
% 0.19/0.47 inference(resolution,[status(thm)],[f742,f182])).
% 0.19/0.47 fof(f2252,plain,(
% 0.19/0.47 spl0_188|~spl0_5|~spl0_57),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2251,f2248,f258,f741])).
% 0.19/0.47 fof(f2255,plain,(
% 0.19/0.47 spl0_189 <=> empty_set=singleton(X0)|sk0_0(empty_set,X0)=X0|~ordinal(sk0_0(empty_set,X0))|ordinal_subset(X0,empty_set)|empty_set=singleton(X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2258,plain,(
% 0.19/0.47 ![X0]: (empty_set=singleton(X0)|sk0_0(empty_set,X0)=X0|~ordinal(sk0_0(empty_set,X0))|~ordinal(empty_set)|ordinal_subset(X0,empty_set)|empty_set=singleton(X0)|~spl0_166)),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f2194,f1361])).
% 0.19/0.47 fof(f2259,plain,(
% 0.19/0.47 spl0_189|~spl0_26|~spl0_166),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2258,f2255,f403,f2033])).
% 0.19/0.47 fof(f2260,plain,(
% 0.19/0.47 spl0_190 <=> empty_set=singleton(X0)|X0=X0|empty_set=singleton(X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2263,plain,(
% 0.19/0.47 ![X0]: (empty_set=singleton(X0)|X0=X0|~empty(empty_set)|empty_set=singleton(X0)|~spl0_166)),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f2194,f525])).
% 0.19/0.47 fof(f2264,plain,(
% 0.19/0.47 spl0_190|~spl0_11|~spl0_166),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2263,f2260,f322,f2033])).
% 0.19/0.47 fof(f2267,plain,(
% 0.19/0.47 spl0_191 <=> subset(X0,empty_set)|empty_set=singleton(X0)|sk0_0(empty_set,X0)=X0|empty_set=singleton(X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2270,plain,(
% 0.19/0.47 ![X0]: (~epsilon_transitive(empty_set)|subset(X0,empty_set)|empty_set=singleton(X0)|sk0_0(empty_set,X0)=X0|empty_set=singleton(X0)|~spl0_166)),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f2194,f537])).
% 0.19/0.47 fof(f2271,plain,(
% 0.19/0.47 ~spl0_25|spl0_191|~spl0_166),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2270,f400,f2267,f2033])).
% 0.19/0.47 fof(f2279,plain,(
% 0.19/0.47 spl0_192 <=> ~in(X0,sk0_17)|in(X0,succ(sk0_18))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2282,plain,(
% 0.19/0.47 ![X0]: (~in(X0,sk0_17)|empty(succ(sk0_18))|in(X0,succ(sk0_18))|~spl0_72)),
% 0.19/0.47 inference(resolution,[status(thm)],[f1780,f193])).
% 0.19/0.47 fof(f2283,plain,(
% 0.19/0.47 spl0_192|spl0_103|~spl0_72),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2282,f2279,f1370,f882])).
% 0.19/0.47 fof(f2284,plain,(
% 0.19/0.47 empty(sk0_17)|~spl0_100),
% 0.19/0.47 inference(resolution,[status(thm)],[f1308,f918])).
% 0.19/0.47 fof(f2285,plain,(
% 0.19/0.47 spl0_79|~spl0_100),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2284,f932,f1307])).
% 0.19/0.47 fof(f2341,plain,(
% 0.19/0.47 spl0_193 <=> ordinal_subset(sk0_18,succ(empty_set))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2391,plain,(
% 0.19/0.47 spl0_195 <=> ordinal(sk0_3(succ(empty_set)))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2393,plain,(
% 0.19/0.47 ~ordinal(sk0_3(succ(empty_set)))|spl0_195),
% 0.19/0.47 inference(component_clause,[status(thm)],[f2391])).
% 0.19/0.47 fof(f2398,plain,(
% 0.19/0.47 ~ordinal(empty_set)|spl0_195),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f948,f2393])).
% 0.19/0.47 fof(f2399,plain,(
% 0.19/0.47 $false|spl0_195),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f2398,f244])).
% 0.19/0.47 fof(f2400,plain,(
% 0.19/0.47 spl0_195),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f2399])).
% 0.19/0.47 fof(f2446,plain,(
% 0.19/0.47 ![X0,X1]: (~in(X0,X1)|~ordinal(X1)|subset(singleton(X0),succ(X1))|subset(singleton(X0),succ(X1)))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f624,f778])).
% 0.19/0.47 fof(f2447,plain,(
% 0.19/0.47 ![X0,X1]: (~in(X0,X1)|~ordinal(X1)|subset(singleton(X0),succ(X1)))),
% 0.19/0.47 inference(duplicate_literals_removal,[status(esa)],[f2446])).
% 0.19/0.47 fof(f2456,plain,(
% 0.19/0.47 ![X0]: (~in(empty_set,X0)|~ordinal(X0)|subset(succ(empty_set),succ(X0)))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f583,f2447])).
% 0.19/0.47 fof(f2460,plain,(
% 0.19/0.47 spl0_196 <=> ~in(empty_set,X0)|~ordinal(X0)|~empty(succ(X0))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2463,plain,(
% 0.19/0.47 spl0_197 <=> ~in(X1,succ(empty_set))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2464,plain,(
% 0.19/0.47 ![X0]: (~in(X0,succ(empty_set))|~spl0_197)),
% 0.19/0.47 inference(component_clause,[status(thm)],[f2463])).
% 0.19/0.47 fof(f2466,plain,(
% 0.19/0.47 ![X0,X1]: (~in(empty_set,X0)|~ordinal(X0)|~in(X1,succ(empty_set))|~empty(succ(X0)))),
% 0.19/0.47 inference(resolution,[status(thm)],[f2456,f1022])).
% 0.19/0.47 fof(f2467,plain,(
% 0.19/0.47 spl0_196|spl0_197),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2466,f2460,f2463])).
% 0.19/0.47 fof(f2469,plain,(
% 0.19/0.47 spl0_198 <=> ~in(empty_set,X0)|~ordinal(X0)|~ordinal(succ(X0))|ordinal_subset(succ(empty_set),succ(X0))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2472,plain,(
% 0.19/0.47 ![X0]: (~in(empty_set,X0)|~ordinal(X0)|~ordinal(succ(empty_set))|~ordinal(succ(X0))|ordinal_subset(succ(empty_set),succ(X0)))),
% 0.19/0.47 inference(resolution,[status(thm)],[f2456,f182])).
% 0.19/0.47 fof(f2473,plain,(
% 0.19/0.47 spl0_198|~spl0_99),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2472,f2469,f1285])).
% 0.19/0.47 fof(f2488,plain,(
% 0.19/0.47 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X1,X0)|subset(X0,succ(X1))|~ordinal(X1)|subset(X0,succ(X1)))),
% 0.19/0.47 inference(resolution,[status(thm)],[f860,f778])).
% 0.19/0.47 fof(f2489,plain,(
% 0.19/0.47 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X1,X0)|subset(X0,succ(X1)))),
% 0.19/0.47 inference(duplicate_literals_removal,[status(esa)],[f2488])).
% 0.19/0.47 fof(f2495,plain,(
% 0.19/0.47 spl0_199 <=> ~ordinal(X0)|ordinal_subset(empty_set,X0)|subset(X0,X1)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2498,plain,(
% 0.19/0.47 ![X0,X1]: (~ordinal(X0)|~ordinal(empty_set)|ordinal_subset(empty_set,X0)|subset(X0,X1)|~spl0_166)),
% 0.19/0.47 inference(resolution,[status(thm)],[f860,f2034])).
% 0.19/0.47 fof(f2499,plain,(
% 0.19/0.47 spl0_199|~spl0_26|~spl0_166),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2498,f2495,f403,f2033])).
% 0.19/0.47 fof(f2504,plain,(
% 0.19/0.47 spl0_200 <=> ~ordinal(X0)|ordinal_subset(succ(empty_set),X0)|subset(X0,X1)|sk0_2(X1,X0)=empty_set),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2507,plain,(
% 0.19/0.47 ![X0,X1]: (~ordinal(X0)|~ordinal(succ(empty_set))|ordinal_subset(succ(empty_set),X0)|subset(X0,X1)|sk0_2(X1,X0)=empty_set)),
% 0.19/0.47 inference(resolution,[status(thm)],[f860,f602])).
% 0.19/0.47 fof(f2508,plain,(
% 0.19/0.47 spl0_200|~spl0_99),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2507,f2504,f1285])).
% 0.19/0.47 fof(f2537,plain,(
% 0.19/0.47 spl0_202 <=> ~in(empty_set,X0)|~empty(X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2540,plain,(
% 0.19/0.47 ![X0,X1]: (~in(empty_set,X0)|~in(X1,succ(empty_set))|~empty(X0))),
% 0.19/0.47 inference(resolution,[status(thm)],[f2031,f1022])).
% 0.19/0.47 fof(f2541,plain,(
% 0.19/0.47 spl0_202|spl0_197),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2540,f2537,f2463])).
% 0.19/0.47 fof(f2543,plain,(
% 0.19/0.47 spl0_203 <=> ~in(empty_set,X0)|~ordinal(X0)|ordinal_subset(succ(empty_set),X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2546,plain,(
% 0.19/0.47 ![X0]: (~in(empty_set,X0)|~ordinal(succ(empty_set))|~ordinal(X0)|ordinal_subset(succ(empty_set),X0))),
% 0.19/0.47 inference(resolution,[status(thm)],[f2031,f182])).
% 0.19/0.47 fof(f2547,plain,(
% 0.19/0.47 spl0_203|~spl0_99),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2546,f2543,f1285])).
% 0.19/0.47 fof(f2577,plain,(
% 0.19/0.47 ![X0]: (~epsilon_transitive(singleton(X0))|~in(singleton(singleton(succ(singleton(X0)))),X0)|~ordinal(singleton(X0)))),
% 0.19/0.47 inference(resolution,[status(thm)],[f963,f1253])).
% 0.19/0.47 fof(f2578,plain,(
% 0.19/0.47 ![X0]: (~in(singleton(singleton(succ(singleton(X0)))),X0)|~ordinal(singleton(X0)))),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f2577,f59])).
% 0.19/0.47 fof(f2586,plain,(
% 0.19/0.47 ![X0]: (~epsilon_transitive(singleton(X0))|~in(singleton(succ(succ(singleton(X0)))),X0)|~ordinal(singleton(X0)))),
% 0.19/0.47 inference(resolution,[status(thm)],[f963,f802])).
% 0.19/0.47 fof(f2587,plain,(
% 0.19/0.47 ![X0]: (~in(singleton(succ(succ(singleton(X0)))),X0)|~ordinal(singleton(X0)))),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f2586,f59])).
% 0.19/0.47 fof(f2590,plain,(
% 0.19/0.47 ![X0]: (~epsilon_transitive(singleton(X0))|~in(singleton(succ(singleton(X0))),X0)|~ordinal(singleton(X0)))),
% 0.19/0.47 inference(resolution,[status(thm)],[f963,f779])).
% 0.19/0.47 fof(f2591,plain,(
% 0.19/0.47 ![X0]: (~in(singleton(succ(singleton(X0))),X0)|~ordinal(singleton(X0)))),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f2590,f59])).
% 0.19/0.47 fof(f2592,plain,(
% 0.19/0.47 ![X0]: (~epsilon_transitive(singleton(X0))|~in(singleton(singleton(X0)),X0))),
% 0.19/0.47 inference(resolution,[status(thm)],[f963,f494])).
% 0.19/0.47 fof(f2598,plain,(
% 0.19/0.47 ![X0]: (~epsilon_transitive(singleton(X0))|~in(succ(singleton(succ(singleton(X0)))),X0)|~ordinal(singleton(X0)))),
% 0.19/0.47 inference(resolution,[status(thm)],[f963,f1257])).
% 0.19/0.47 fof(f2599,plain,(
% 0.19/0.47 ![X0]: (~in(succ(singleton(succ(singleton(X0)))),X0)|~ordinal(singleton(X0)))),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f2598,f59])).
% 0.19/0.47 fof(f2611,plain,(
% 0.19/0.47 ![X0]: (~epsilon_transitive(singleton(X0))|~in(succ(succ(singleton(X0))),X0)|~ordinal(singleton(X0)))),
% 0.19/0.47 inference(resolution,[status(thm)],[f963,f780])).
% 0.19/0.47 fof(f2612,plain,(
% 0.19/0.47 ![X0]: (~in(succ(succ(singleton(X0))),X0)|~ordinal(singleton(X0)))),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f2611,f59])).
% 0.19/0.47 fof(f2618,plain,(
% 0.19/0.47 ![X0]: (~epsilon_transitive(singleton(X0))|~in(succ(singleton(X0)),X0))),
% 0.19/0.47 inference(resolution,[status(thm)],[f963,f238])).
% 0.19/0.47 fof(f2630,plain,(
% 0.19/0.47 ![X0,X1]: (~epsilon_transitive(singleton(X0))|~in(X1,X0)|~in(singleton(X0),X1))),
% 0.19/0.47 inference(resolution,[status(thm)],[f963,f55])).
% 0.19/0.47 fof(f2631,plain,(
% 0.19/0.47 spl0_204 <=> ~in(X0,empty_set)|in(X0,succ(empty_set))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2634,plain,(
% 0.19/0.47 ![X0]: (~epsilon_transitive(singleton(empty_set))|~in(X0,empty_set)|in(X0,succ(empty_set)))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f583,f963])).
% 0.19/0.47 fof(f2635,plain,(
% 0.19/0.47 ~spl0_83|spl0_204),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2634,f966,f2631])).
% 0.19/0.47 fof(f2645,plain,(
% 0.19/0.47 spl0_205 <=> in(singleton(succ(empty_set)),empty_set)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2648,plain,(
% 0.19/0.47 ~epsilon_transitive(singleton(empty_set))|~in(singleton(succ(empty_set)),empty_set)),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f583,f2592])).
% 0.19/0.47 fof(f2649,plain,(
% 0.19/0.47 ~spl0_83|~spl0_205),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2648,f966,f2645])).
% 0.19/0.47 fof(f2655,plain,(
% 0.19/0.47 spl0_206 <=> in(succ(succ(empty_set)),empty_set)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2658,plain,(
% 0.19/0.47 ~epsilon_transitive(singleton(empty_set))|~in(succ(succ(empty_set)),empty_set)),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f583,f2618])).
% 0.19/0.47 fof(f2659,plain,(
% 0.19/0.47 ~spl0_83|~spl0_206),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2658,f966,f2655])).
% 0.19/0.47 fof(f2671,plain,(
% 0.19/0.47 spl0_208 <=> ~in(X0,empty_set)|element(X0,succ(empty_set))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2674,plain,(
% 0.19/0.47 ![X0]: (~in(X0,empty_set)|element(X0,succ(empty_set))|~epsilon_transitive(singleton(empty_set)))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f583,f2077])).
% 0.19/0.47 fof(f2675,plain,(
% 0.19/0.47 spl0_208|~spl0_83),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2674,f2671,f966])).
% 0.19/0.47 fof(f2692,plain,(
% 0.19/0.47 ![X0,X1]: (~subset(X0,X1)|subset(succ(X0),X1)|~in(X0,X1))),
% 0.19/0.47 inference(resolution,[status(thm)],[f1026,f1617])).
% 0.19/0.47 fof(f2699,plain,(
% 0.19/0.47 ![X0]: (~subset(X0,succ(singleton(X0)))|subset(succ(X0),succ(singleton(X0)))|~epsilon_transitive(succ(singleton(X0))))),
% 0.19/0.47 inference(resolution,[status(thm)],[f1026,f544])).
% 0.19/0.47 fof(f2702,plain,(
% 0.19/0.47 ![X0,X1]: (~subset(X0,X1)|subset(succ(X0),X1)|~ordinal(singleton(X0))|~ordinal(X1)|ordinal_subset(X1,singleton(X0)))),
% 0.19/0.47 inference(resolution,[status(thm)],[f1026,f241])).
% 0.19/0.47 fof(f2710,plain,(
% 0.19/0.47 spl0_209 <=> subset(sk0_18,succ(empty_set))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2713,plain,(
% 0.19/0.47 ~ordinal(sk0_18)|~ordinal(succ(empty_set))|subset(sk0_18,succ(empty_set))|~spl0_79|~spl0_7),
% 0.19/0.47 inference(resolution,[status(thm)],[f1046,f181])).
% 0.19/0.47 fof(f2714,plain,(
% 0.19/0.47 ~spl0_5|~spl0_99|spl0_209|~spl0_79|~spl0_7),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2713,f258,f1285,f2710,f932,f275])).
% 0.19/0.47 fof(f2733,plain,(
% 0.19/0.47 $false|~spl0_197),
% 0.19/0.47 inference(resolution,[status(thm)],[f2464,f188])).
% 0.19/0.47 fof(f2734,plain,(
% 0.19/0.47 ~spl0_197),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f2733])).
% 0.19/0.47 fof(f2750,plain,(
% 0.19/0.47 ~ordinal(sk0_18)|~ordinal(succ(empty_set))|ordinal_subset(sk0_18,succ(empty_set))|~spl0_79|~spl0_8),
% 0.19/0.47 inference(resolution,[status(thm)],[f1045,f182])).
% 0.19/0.47 fof(f2751,plain,(
% 0.19/0.47 ~spl0_5|~spl0_99|spl0_193|~spl0_79|~spl0_8),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2750,f258,f1285,f2341,f932,f286])).
% 0.19/0.47 fof(f2806,plain,(
% 0.19/0.47 spl0_215 <=> subset(empty_set,succ(singleton(empty_set)))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2808,plain,(
% 0.19/0.47 ~subset(empty_set,succ(singleton(empty_set)))|spl0_215),
% 0.19/0.47 inference(component_clause,[status(thm)],[f2806])).
% 0.19/0.47 fof(f2809,plain,(
% 0.19/0.47 spl0_216 <=> epsilon_transitive(succ(singleton(empty_set)))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2811,plain,(
% 0.19/0.47 ~epsilon_transitive(succ(singleton(empty_set)))|spl0_216),
% 0.19/0.47 inference(component_clause,[status(thm)],[f2809])).
% 0.19/0.47 fof(f2812,plain,(
% 0.19/0.47 spl0_217 <=> ordinal(succ(singleton(empty_set)))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2814,plain,(
% 0.19/0.47 ~ordinal(succ(singleton(empty_set)))|spl0_217),
% 0.19/0.47 inference(component_clause,[status(thm)],[f2812])).
% 0.19/0.47 fof(f2815,plain,(
% 0.19/0.47 spl0_218 <=> ordinal_subset(succ(empty_set),succ(singleton(empty_set)))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2818,plain,(
% 0.19/0.47 ~subset(empty_set,succ(singleton(empty_set)))|~epsilon_transitive(succ(singleton(empty_set)))|~ordinal(succ(singleton(empty_set)))|ordinal_subset(succ(empty_set),succ(singleton(empty_set)))|~spl0_119|~spl0_98),
% 0.19/0.47 inference(resolution,[status(thm)],[f2699,f1789])).
% 0.19/0.47 fof(f2819,plain,(
% 0.19/0.47 ~spl0_215|~spl0_216|~spl0_217|spl0_218|~spl0_119|~spl0_98),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2818,f2806,f2809,f2812,f2815,f1650,f1282])).
% 0.19/0.47 fof(f2825,plain,(
% 0.19/0.47 spl0_219 <=> subset(succ(empty_set),succ(succ(empty_set)))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2828,plain,(
% 0.19/0.47 ~subset(empty_set,succ(singleton(empty_set)))|subset(succ(empty_set),succ(succ(empty_set)))|~epsilon_transitive(succ(singleton(empty_set)))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f583,f2699])).
% 0.19/0.47 fof(f2829,plain,(
% 0.19/0.47 ~spl0_215|spl0_219|~spl0_216),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2828,f2806,f2825,f2809])).
% 0.19/0.47 fof(f2830,plain,(
% 0.19/0.47 ~ordinal(succ(succ(empty_set)))|spl0_217),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f583,f2814])).
% 0.19/0.47 fof(f2831,plain,(
% 0.19/0.47 $false|~spl0_147|spl0_217),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f2830,f1816])).
% 0.19/0.47 fof(f2832,plain,(
% 0.19/0.47 ~spl0_147|spl0_217),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f2831])).
% 0.19/0.47 fof(f2833,plain,(
% 0.19/0.47 $false|~spl0_147|spl0_149),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1825,f1847])).
% 0.19/0.47 fof(f2834,plain,(
% 0.19/0.47 ~spl0_147|spl0_149),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f2833])).
% 0.19/0.47 fof(f2835,plain,(
% 0.19/0.47 ~epsilon_transitive(succ(succ(empty_set)))|spl0_216),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f583,f2811])).
% 0.19/0.47 fof(f2836,plain,(
% 0.19/0.47 $false|~spl0_147|spl0_216),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f2835,f1847])).
% 0.19/0.47 fof(f2837,plain,(
% 0.19/0.47 ~spl0_147|spl0_216),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f2836])).
% 0.19/0.47 fof(f2838,plain,(
% 0.19/0.47 ~subset(empty_set,succ(succ(empty_set)))|spl0_215),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f583,f2808])).
% 0.19/0.47 fof(f2839,plain,(
% 0.19/0.47 $false|~spl0_119|spl0_215),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f2838,f1667])).
% 0.19/0.47 fof(f2840,plain,(
% 0.19/0.47 ~spl0_119|spl0_215),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f2839])).
% 0.19/0.47 fof(f2847,plain,(
% 0.19/0.47 spl0_220 <=> in(singleton(succ(succ(empty_set))),empty_set)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2850,plain,(
% 0.19/0.47 ~in(singleton(succ(succ(empty_set))),empty_set)|~ordinal(singleton(empty_set))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f583,f2591])).
% 0.19/0.47 fof(f2851,plain,(
% 0.19/0.47 ~spl0_220|~spl0_95),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2850,f2847,f1170])).
% 0.19/0.47 fof(f2857,plain,(
% 0.19/0.47 spl0_221 <=> in(succ(succ(succ(empty_set))),empty_set)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2860,plain,(
% 0.19/0.47 ~in(succ(succ(succ(empty_set))),empty_set)|~ordinal(singleton(empty_set))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f583,f2612])).
% 0.19/0.47 fof(f2861,plain,(
% 0.19/0.47 ~spl0_221|~spl0_95),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2860,f2857,f1170])).
% 0.19/0.47 fof(f2869,plain,(
% 0.19/0.47 spl0_222 <=> ~in(X0,empty_set)|~in(succ(empty_set),X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2872,plain,(
% 0.19/0.47 ![X0]: (~epsilon_transitive(singleton(empty_set))|~in(X0,empty_set)|~in(succ(empty_set),X0))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f583,f2630])).
% 0.19/0.47 fof(f2873,plain,(
% 0.19/0.47 ~spl0_83|spl0_222),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2872,f966,f2869])).
% 0.19/0.47 fof(f2887,plain,(
% 0.19/0.47 spl0_223 <=> ~ordinal(X0)|ordinal_subset(X0,succ(empty_set))|~ordinal(succ(X0))|ordinal_subset(succ(empty_set),succ(X0))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2890,plain,(
% 0.19/0.47 ![X0]: (~ordinal(succ(empty_set))|~ordinal(X0)|ordinal_subset(X0,succ(empty_set))|~ordinal(succ(X0))|ordinal_subset(succ(empty_set),succ(X0))|~spl0_119|~spl0_98)),
% 0.19/0.47 inference(resolution,[status(thm)],[f2489,f1789])).
% 0.19/0.47 fof(f2891,plain,(
% 0.19/0.47 ~spl0_99|spl0_223|~spl0_119|~spl0_98),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2890,f1285,f2887,f1650,f1282])).
% 0.19/0.47 fof(f2907,plain,(
% 0.19/0.47 spl0_224 <=> in(singleton(singleton(succ(succ(empty_set)))),empty_set)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2910,plain,(
% 0.19/0.47 ~in(singleton(singleton(succ(succ(empty_set)))),empty_set)|~ordinal(singleton(empty_set))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f583,f2578])).
% 0.19/0.47 fof(f2911,plain,(
% 0.19/0.47 ~spl0_224|~spl0_95),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2910,f2907,f1170])).
% 0.19/0.47 fof(f2917,plain,(
% 0.19/0.47 spl0_225 <=> in(singleton(succ(succ(succ(empty_set)))),empty_set)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2920,plain,(
% 0.19/0.47 ~in(singleton(succ(succ(succ(empty_set)))),empty_set)|~ordinal(singleton(empty_set))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f583,f2587])).
% 0.19/0.47 fof(f2921,plain,(
% 0.19/0.47 ~spl0_225|~spl0_95),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2920,f2917,f1170])).
% 0.19/0.47 fof(f2927,plain,(
% 0.19/0.47 spl0_226 <=> in(succ(singleton(succ(succ(empty_set)))),empty_set)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2930,plain,(
% 0.19/0.47 ~in(succ(singleton(succ(succ(empty_set)))),empty_set)|~ordinal(singleton(empty_set))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f583,f2599])).
% 0.19/0.47 fof(f2931,plain,(
% 0.19/0.47 ~spl0_226|~spl0_95),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2930,f2927,f1170])).
% 0.19/0.47 fof(f2941,plain,(
% 0.19/0.47 spl0_229 <=> ~subset(empty_set,X0)|~ordinal(X0)|ordinal_subset(X0,singleton(empty_set))|~ordinal(X0)|ordinal_subset(succ(empty_set),X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2944,plain,(
% 0.19/0.47 ![X0]: (~subset(empty_set,X0)|~ordinal(singleton(empty_set))|~ordinal(X0)|ordinal_subset(X0,singleton(empty_set))|~ordinal(X0)|ordinal_subset(succ(empty_set),X0)|~spl0_119|~spl0_98)),
% 0.19/0.47 inference(resolution,[status(thm)],[f2702,f1789])).
% 0.19/0.47 fof(f2945,plain,(
% 0.19/0.47 spl0_229|~spl0_95|~spl0_119|~spl0_98),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2944,f2941,f1170,f1650,f1282])).
% 0.19/0.47 fof(f2956,plain,(
% 0.19/0.47 spl0_230 <=> ~ordinal(X0)|ordinal_subset(empty_set,X0)|X0=singleton(X1)|sk0_0(X0,X1)=X1),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2959,plain,(
% 0.19/0.47 ![X0,X1]: (~ordinal(X0)|~ordinal(empty_set)|ordinal_subset(empty_set,X0)|X0=singleton(X1)|sk0_0(X0,X1)=X1|~spl0_166)),
% 0.19/0.47 inference(resolution,[status(thm)],[f867,f2034])).
% 0.19/0.47 fof(f2960,plain,(
% 0.19/0.47 spl0_230|~spl0_26|~spl0_166),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2959,f2956,f403,f2033])).
% 0.19/0.47 fof(f2982,plain,(
% 0.19/0.47 spl0_231 <=> in(X0,X1)|~ordinal(X1)|ordinal_subset(X1,empty_set)|empty_set=singleton(X0)|sk0_0(empty_set,X0)=X0|empty_set=singleton(X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2985,plain,(
% 0.19/0.47 ![X0,X1]: (in(X0,X1)|~ordinal(empty_set)|~ordinal(X1)|ordinal_subset(X1,empty_set)|empty_set=singleton(X0)|sk0_0(empty_set,X0)=X0|empty_set=singleton(X0)|~spl0_166)),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f2194,f867])).
% 0.19/0.47 fof(f2986,plain,(
% 0.19/0.47 spl0_231|~spl0_26|~spl0_166),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2985,f2982,f403,f2033])).
% 0.19/0.47 fof(f2996,plain,(
% 0.19/0.47 spl0_232 <=> sk0_0(X0,X1)=empty_set|~ordinal(X0)|ordinal_subset(succ(empty_set),X0)|X0=singleton(X1)|sk0_0(X0,X1)=X1),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f2999,plain,(
% 0.19/0.47 ![X0,X1]: (sk0_0(X0,X1)=empty_set|~ordinal(X0)|~ordinal(succ(empty_set))|ordinal_subset(succ(empty_set),X0)|X0=singleton(X1)|sk0_0(X0,X1)=X1)),
% 0.19/0.47 inference(resolution,[status(thm)],[f602,f867])).
% 0.19/0.47 fof(f3000,plain,(
% 0.19/0.47 spl0_232|~spl0_99),
% 0.19/0.47 inference(split_clause,[status(thm)],[f2999,f2996,f1285])).
% 0.19/0.47 fof(f3008,plain,(
% 0.19/0.47 ~subset(sk0_17,sk0_18)|~in(sk0_17,sk0_18)|spl0_6),
% 0.19/0.48 inference(resolution,[status(thm)],[f2692,f263])).
% 0.19/0.48 fof(f3009,plain,(
% 0.19/0.48 ~spl0_45|~spl0_2|spl0_6),
% 0.19/0.48 inference(split_clause,[status(thm)],[f3008,f538,f228,f261])).
% 0.19/0.48 fof(f3018,plain,(
% 0.19/0.48 $false),
% 0.19/0.48 inference(sat_refutation,[status(thm)],[f234,f235,f265,f267,f270,f279,f285,f290,f292,f298,f329,f331,f356,f364,f372,f380,f388,f407,f409,f411,f413,f415,f417,f419,f427,f429,f437,f448,f450,f472,f480,f482,f511,f513,f521,f523,f542,f546,f636,f675,f678,f728,f745,f760,f775,f798,f807,f836,f845,f859,f866,f873,f886,f893,f912,f931,f939,f947,f955,f961,f973,f988,f1003,f1010,f1065,f1096,f1115,f1128,f1145,f1151,f1177,f1245,f1289,f1311,f1324,f1332,f1374,f1383,f1385,f1396,f1400,f1419,f1444,f1475,f1480,f1498,f1624,f1630,f1639,f1641,f1647,f1662,f1666,f1674,f1679,f1712,f1718,f1723,f1733,f1739,f1750,f1755,f1762,f1767,f1779,f1785,f1788,f1797,f1810,f1822,f1837,f1842,f1845,f1862,f1867,f1876,f1881,f1886,f1905,f1910,f1935,f1940,f1965,f1970,f1981,f1986,f2037,f2142,f2149,f2164,f2173,f2179,f2185,f2191,f2199,f2205,f2223,f2240,f2252,f2259,f2264,f2271,f2283,f2285,f2400,f2467,f2473,f2499,f2508,f2541,f2547,f2635,f2649,f2659,f2675,f2714,f2734,f2751,f2819,f2829,f2832,f2834,f2837,f2840,f2851,f2861,f2873,f2891,f2911,f2921,f2931,f2945,f2960,f2986,f3000,f3009])).
% 0.19/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.48 % Elapsed time: 0.133563 seconds
% 0.19/0.48 % CPU time: 0.887014 seconds
% 0.19/0.48 % Memory used: 64.666 MB
%------------------------------------------------------------------------------