TSTP Solution File: SEU238+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU238+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:36:25 EDT 2023
% Result : Theorem 4.71s 1.09s
% Output : CNFRefutation 4.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU238+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 09:23:13 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 4.71/1.09 % Refutation found
% 4.71/1.09 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.71/1.09 % SZS output start CNFRefutation for theBenchmark
% 4.71/1.09 fof(f1,axiom,(
% 4.71/1.09 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f2,axiom,(
% 4.71/1.09 (! [A,B] :( proper_subset(A,B)=> ~ proper_subset(B,A) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f4,axiom,(
% 4.71/1.09 (! [A] :( ordinal(A)=> ( epsilon_transitive(A)& epsilon_connected(A) ) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f7,axiom,(
% 4.71/1.09 (! [A] :( ( epsilon_transitive(A)& epsilon_connected(A) )=> ordinal(A) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f10,axiom,(
% 4.71/1.09 (! [A,B] :( ( ordinal(A)& ordinal(B) )=> ( ordinal_subset(A,B)| ordinal_subset(B,A) ) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f12,axiom,(
% 4.71/1.09 (! [A,B] :( proper_subset(A,B)<=> ( subset(A,B)& A != B ) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f20,axiom,(
% 4.71/1.09 ( empty(empty_set)& relation(empty_set)& relation_empty_yielding(empty_set) ) ),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f21,axiom,(
% 4.71/1.09 (! [A] : ~ empty(succ(A)) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f23,axiom,(
% 4.71/1.09 ( 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) ) ),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f24,axiom,(
% 4.71/1.09 (! [A,B] :( ( relation(A)& relation(B) )=> relation(set_union2(A,B)) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f26,axiom,(
% 4.71/1.09 (! [A] :( ordinal(A)=> ( ~ empty(succ(A))& epsilon_transitive(succ(A))& epsilon_connected(succ(A))& ordinal(succ(A)) ) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f27,axiom,(
% 4.71/1.09 (! [A,B] :( ~ empty(A)=> ~ empty(set_union2(B,A)) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f32,axiom,(
% 4.71/1.09 (? [A] :( epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f40,axiom,(
% 4.71/1.09 (? [A] :( ~ empty(A)& epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f43,axiom,(
% 4.71/1.09 (! [A,B] :( ( ordinal(A)& ordinal(B) )=> ( ordinal_subset(A,B)<=> subset(A,B) ) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f44,axiom,(
% 4.71/1.09 (! [A,B] :( ( ordinal(A)& ordinal(B) )=> ordinal_subset(A,A) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f45,axiom,(
% 4.71/1.09 (! [A,B] : subset(A,A) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f46,axiom,(
% 4.71/1.09 (! [A] : in(A,succ(A)) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f47,axiom,(
% 4.71/1.09 (! [A] : set_union2(A,empty_set) = A )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f49,axiom,(
% 4.71/1.09 (! [A] :( epsilon_transitive(A)=> (! [B] :( ordinal(B)=> ( proper_subset(A,B)=> in(A,B) ) ) )) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f51,axiom,(
% 4.71/1.09 (! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> ( in(A,B)<=> ordinal_subset(succ(A),B) ) ) )) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f52,axiom,(
% 4.71/1.09 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f53,axiom,(
% 4.71/1.09 (! [A] :( ordinal(A)=> ( being_limit_ordinal(A)<=> (! [B] :( ordinal(B)=> ( in(B,A)=> in(succ(B),A) ) ) )) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f54,conjecture,(
% 4.71/1.09 (! [A] :( ordinal(A)=> ( ~ ( ~ being_limit_ordinal(A)& (! [B] :( ordinal(B)=> A != succ(B) ) ))& ~ ( (? [B] :( ordinal(B)& A = succ(B) ))& being_limit_ordinal(A) ) ) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f55,negated_conjecture,(
% 4.71/1.09 ~((! [A] :( ordinal(A)=> ( ~ ( ~ being_limit_ordinal(A)& (! [B] :( ordinal(B)=> A != succ(B) ) ))& ~ ( (? [B] :( ordinal(B)& A = succ(B) ))& being_limit_ordinal(A) ) ) ) ))),
% 4.71/1.09 inference(negated_conjecture,[status(cth)],[f54])).
% 4.71/1.09 fof(f57,axiom,(
% 4.71/1.09 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f59,axiom,(
% 4.71/1.09 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 4.71/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.71/1.09 fof(f61,plain,(
% 4.71/1.09 ![A,B]: (~in(A,B)|~in(B,A))),
% 4.71/1.09 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 4.71/1.09 fof(f62,plain,(
% 4.71/1.09 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f61])).
% 4.71/1.09 fof(f63,plain,(
% 4.71/1.09 ![A,B]: (~proper_subset(A,B)|~proper_subset(B,A))),
% 4.71/1.09 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 4.71/1.09 fof(f64,plain,(
% 4.71/1.09 ![X0,X1]: (~proper_subset(X0,X1)|~proper_subset(X1,X0))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f63])).
% 4.71/1.09 fof(f67,plain,(
% 4.71/1.09 ![A]: (~ordinal(A)|(epsilon_transitive(A)&epsilon_connected(A)))),
% 4.71/1.09 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 4.71/1.09 fof(f68,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|epsilon_transitive(X0))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f67])).
% 4.71/1.09 fof(f69,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|epsilon_connected(X0))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f67])).
% 4.71/1.09 fof(f76,plain,(
% 4.71/1.09 ![A]: ((~epsilon_transitive(A)|~epsilon_connected(A))|ordinal(A))),
% 4.71/1.09 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 4.71/1.09 fof(f77,plain,(
% 4.71/1.09 ![X0]: (~epsilon_transitive(X0)|~epsilon_connected(X0)|ordinal(X0))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f76])).
% 4.71/1.09 fof(f83,plain,(
% 4.71/1.09 ![A,B]: ((~ordinal(A)|~ordinal(B))|(ordinal_subset(A,B)|ordinal_subset(B,A)))),
% 4.71/1.09 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 4.71/1.09 fof(f84,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X1)|ordinal_subset(X1,X0))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f83])).
% 4.71/1.09 fof(f86,plain,(
% 4.71/1.09 ![A,B]: ((~proper_subset(A,B)|(subset(A,B)&~A=B))&(proper_subset(A,B)|(~subset(A,B)|A=B)))),
% 4.71/1.09 inference(NNF_transformation,[status(esa)],[f12])).
% 4.71/1.09 fof(f87,plain,(
% 4.71/1.09 (![A,B]: (~proper_subset(A,B)|(subset(A,B)&~A=B)))&(![A,B]: (proper_subset(A,B)|(~subset(A,B)|A=B)))),
% 4.71/1.09 inference(miniscoping,[status(esa)],[f86])).
% 4.71/1.09 fof(f88,plain,(
% 4.71/1.09 ![X0,X1]: (~proper_subset(X0,X1)|subset(X0,X1))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f87])).
% 4.71/1.09 fof(f90,plain,(
% 4.71/1.09 ![X0,X1]: (proper_subset(X0,X1)|~subset(X0,X1)|X0=X1)),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f87])).
% 4.71/1.09 fof(f93,plain,(
% 4.71/1.09 empty(empty_set)),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f20])).
% 4.71/1.09 fof(f94,plain,(
% 4.71/1.09 relation(empty_set)),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f20])).
% 4.71/1.09 fof(f96,plain,(
% 4.71/1.09 ![X0]: (~empty(succ(X0)))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f21])).
% 4.71/1.09 fof(f103,plain,(
% 4.71/1.09 epsilon_transitive(empty_set)),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f23])).
% 4.71/1.09 fof(f104,plain,(
% 4.71/1.09 epsilon_connected(empty_set)),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f23])).
% 4.71/1.09 fof(f105,plain,(
% 4.71/1.09 ordinal(empty_set)),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f23])).
% 4.71/1.09 fof(f106,plain,(
% 4.71/1.09 ![A,B]: ((~relation(A)|~relation(B))|relation(set_union2(A,B)))),
% 4.71/1.09 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 4.71/1.09 fof(f107,plain,(
% 4.71/1.09 ![X0,X1]: (~relation(X0)|~relation(X1)|relation(set_union2(X0,X1)))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f106])).
% 4.71/1.09 fof(f111,plain,(
% 4.71/1.09 ![A]: (~ordinal(A)|(((~empty(succ(A))&epsilon_transitive(succ(A)))&epsilon_connected(succ(A)))&ordinal(succ(A))))),
% 4.71/1.09 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 4.71/1.09 fof(f115,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|ordinal(succ(X0)))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f111])).
% 4.71/1.09 fof(f116,plain,(
% 4.71/1.09 ![A,B]: (empty(A)|~empty(set_union2(B,A)))),
% 4.71/1.09 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 4.71/1.09 fof(f117,plain,(
% 4.71/1.09 ![A]: (empty(A)|(![B]: ~empty(set_union2(B,A))))),
% 4.71/1.09 inference(miniscoping,[status(esa)],[f116])).
% 4.71/1.09 fof(f118,plain,(
% 4.71/1.09 ![X0,X1]: (empty(X0)|~empty(set_union2(X1,X0)))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f117])).
% 4.71/1.09 fof(f128,plain,(
% 4.71/1.09 ((epsilon_transitive(sk0_2)&epsilon_connected(sk0_2))&ordinal(sk0_2))),
% 4.71/1.09 inference(skolemization,[status(esa)],[f32])).
% 4.71/1.09 fof(f129,plain,(
% 4.71/1.09 epsilon_transitive(sk0_2)),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f128])).
% 4.71/1.09 fof(f130,plain,(
% 4.71/1.09 epsilon_connected(sk0_2)),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f128])).
% 4.71/1.09 fof(f131,plain,(
% 4.71/1.09 ordinal(sk0_2)),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f128])).
% 4.71/1.09 fof(f158,plain,(
% 4.71/1.09 (((~empty(sk0_10)&epsilon_transitive(sk0_10))&epsilon_connected(sk0_10))&ordinal(sk0_10))),
% 4.71/1.09 inference(skolemization,[status(esa)],[f40])).
% 4.71/1.09 fof(f160,plain,(
% 4.71/1.09 epsilon_transitive(sk0_10)),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f158])).
% 4.71/1.09 fof(f161,plain,(
% 4.71/1.09 epsilon_connected(sk0_10)),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f158])).
% 4.71/1.09 fof(f162,plain,(
% 4.71/1.09 ordinal(sk0_10)),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f158])).
% 4.71/1.09 fof(f170,plain,(
% 4.71/1.09 ![A,B]: ((~ordinal(A)|~ordinal(B))|(ordinal_subset(A,B)<=>subset(A,B)))),
% 4.71/1.09 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 4.71/1.09 fof(f171,plain,(
% 4.71/1.09 ![A,B]: ((~ordinal(A)|~ordinal(B))|((~ordinal_subset(A,B)|subset(A,B))&(ordinal_subset(A,B)|~subset(A,B))))),
% 4.71/1.09 inference(NNF_transformation,[status(esa)],[f170])).
% 4.71/1.09 fof(f172,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|~ordinal_subset(X0,X1)|subset(X0,X1))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f171])).
% 4.71/1.09 fof(f173,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X1)|~subset(X0,X1))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f171])).
% 4.71/1.09 fof(f174,plain,(
% 4.71/1.09 ![A,B]: ((~ordinal(A)|~ordinal(B))|ordinal_subset(A,A))),
% 4.71/1.09 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 4.71/1.09 fof(f175,plain,(
% 4.71/1.09 ![A]: ((~ordinal(A)|(![B]: ~ordinal(B)))|ordinal_subset(A,A))),
% 4.71/1.09 inference(miniscoping,[status(esa)],[f174])).
% 4.71/1.09 fof(f176,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X0))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f175])).
% 4.71/1.09 fof(f177,plain,(
% 4.71/1.09 ![A]: subset(A,A)),
% 4.71/1.09 inference(miniscoping,[status(esa)],[f45])).
% 4.71/1.09 fof(f178,plain,(
% 4.71/1.09 ![X0]: (subset(X0,X0))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f177])).
% 4.71/1.09 fof(f179,plain,(
% 4.71/1.09 ![X0]: (in(X0,succ(X0)))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f46])).
% 4.71/1.09 fof(f180,plain,(
% 4.71/1.09 ![X0]: (set_union2(X0,empty_set)=X0)),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f47])).
% 4.71/1.09 fof(f183,plain,(
% 4.71/1.09 ![A]: (~epsilon_transitive(A)|(![B]: (~ordinal(B)|(~proper_subset(A,B)|in(A,B)))))),
% 4.71/1.09 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 4.71/1.09 fof(f184,plain,(
% 4.71/1.09 ![X0,X1]: (~epsilon_transitive(X0)|~ordinal(X1)|~proper_subset(X0,X1)|in(X0,X1))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f183])).
% 4.71/1.09 fof(f187,plain,(
% 4.71/1.09 ![A]: (~ordinal(A)|(![B]: (~ordinal(B)|(in(A,B)<=>ordinal_subset(succ(A),B)))))),
% 4.71/1.09 inference(pre_NNF_transformation,[status(esa)],[f51])).
% 4.71/1.09 fof(f188,plain,(
% 4.71/1.09 ![A]: (~ordinal(A)|(![B]: (~ordinal(B)|((~in(A,B)|ordinal_subset(succ(A),B))&(in(A,B)|~ordinal_subset(succ(A),B))))))),
% 4.71/1.09 inference(NNF_transformation,[status(esa)],[f187])).
% 4.71/1.09 fof(f189,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|~in(X0,X1)|ordinal_subset(succ(X0),X1))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f188])).
% 4.71/1.09 fof(f190,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|in(X0,X1)|~ordinal_subset(succ(X0),X1))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f188])).
% 4.71/1.09 fof(f191,plain,(
% 4.71/1.09 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 4.71/1.09 inference(NNF_transformation,[status(esa)],[f52])).
% 4.71/1.09 fof(f192,plain,(
% 4.71/1.09 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 4.71/1.09 inference(miniscoping,[status(esa)],[f191])).
% 4.71/1.09 fof(f194,plain,(
% 4.71/1.09 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f192])).
% 4.71/1.09 fof(f195,plain,(
% 4.71/1.09 ![A]: (~ordinal(A)|(being_limit_ordinal(A)<=>(![B]: (~ordinal(B)|(~in(B,A)|in(succ(B),A))))))),
% 4.71/1.09 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 4.71/1.09 fof(f196,plain,(
% 4.71/1.09 ![A]: (~ordinal(A)|((~being_limit_ordinal(A)|(![B]: (~ordinal(B)|(~in(B,A)|in(succ(B),A)))))&(being_limit_ordinal(A)|(?[B]: (ordinal(B)&(in(B,A)&~in(succ(B),A)))))))),
% 4.71/1.09 inference(NNF_transformation,[status(esa)],[f195])).
% 4.71/1.09 fof(f197,plain,(
% 4.71/1.09 ![A]: (~ordinal(A)|((~being_limit_ordinal(A)|(![B]: (~ordinal(B)|(~in(B,A)|in(succ(B),A)))))&(being_limit_ordinal(A)|(ordinal(sk0_13(A))&(in(sk0_13(A),A)&~in(succ(sk0_13(A)),A))))))),
% 4.71/1.09 inference(skolemization,[status(esa)],[f196])).
% 4.71/1.09 fof(f198,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~being_limit_ordinal(X0)|~ordinal(X1)|~in(X1,X0)|in(succ(X1),X0))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f197])).
% 4.71/1.09 fof(f199,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|being_limit_ordinal(X0)|ordinal(sk0_13(X0)))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f197])).
% 4.71/1.09 fof(f200,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|being_limit_ordinal(X0)|in(sk0_13(X0),X0))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f197])).
% 4.71/1.09 fof(f201,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|being_limit_ordinal(X0)|~in(succ(sk0_13(X0)),X0))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f197])).
% 4.71/1.09 fof(f202,plain,(
% 4.71/1.09 (?[A]: (ordinal(A)&((~being_limit_ordinal(A)&(![B]: (~ordinal(B)|~A=succ(B))))|((?[B]: (ordinal(B)&A=succ(B)))&being_limit_ordinal(A)))))),
% 4.71/1.09 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 4.71/1.09 fof(f203,plain,(
% 4.71/1.09 ![A]: (pd0_0(A)=>(~being_limit_ordinal(A)&(![B]: (~ordinal(B)|~A=succ(B)))))),
% 4.71/1.09 introduced(predicate_definition,[f202])).
% 4.71/1.09 fof(f204,plain,(
% 4.71/1.09 ?[A]: (ordinal(A)&(pd0_0(A)|((?[B]: (ordinal(B)&A=succ(B)))&being_limit_ordinal(A))))),
% 4.71/1.09 inference(formula_renaming,[status(thm)],[f202,f203])).
% 4.71/1.09 fof(f205,plain,(
% 4.71/1.09 (ordinal(sk0_14)&(pd0_0(sk0_14)|((ordinal(sk0_15)&sk0_14=succ(sk0_15))&being_limit_ordinal(sk0_14))))),
% 4.71/1.09 inference(skolemization,[status(esa)],[f204])).
% 4.71/1.09 fof(f206,plain,(
% 4.71/1.09 ordinal(sk0_14)),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f205])).
% 4.71/1.09 fof(f207,plain,(
% 4.71/1.09 pd0_0(sk0_14)|ordinal(sk0_15)),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f205])).
% 4.71/1.09 fof(f208,plain,(
% 4.71/1.09 pd0_0(sk0_14)|sk0_14=succ(sk0_15)),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f205])).
% 4.71/1.09 fof(f209,plain,(
% 4.71/1.09 pd0_0(sk0_14)|being_limit_ordinal(sk0_14)),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f205])).
% 4.71/1.09 fof(f213,plain,(
% 4.71/1.09 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 4.71/1.09 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 4.71/1.09 fof(f214,plain,(
% 4.71/1.09 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 4.71/1.09 inference(miniscoping,[status(esa)],[f213])).
% 4.71/1.09 fof(f215,plain,(
% 4.71/1.09 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f214])).
% 4.71/1.09 fof(f218,plain,(
% 4.71/1.09 ![A,B]: (~in(A,B)|~empty(B))),
% 4.71/1.09 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 4.71/1.09 fof(f219,plain,(
% 4.71/1.09 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 4.71/1.09 inference(miniscoping,[status(esa)],[f218])).
% 4.71/1.09 fof(f220,plain,(
% 4.71/1.09 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f219])).
% 4.71/1.09 fof(f224,plain,(
% 4.71/1.09 ![A]: (~pd0_0(A)|(~being_limit_ordinal(A)&(![B]: (~ordinal(B)|~A=succ(B)))))),
% 4.71/1.09 inference(pre_NNF_transformation,[status(esa)],[f203])).
% 4.71/1.09 fof(f225,plain,(
% 4.71/1.09 ![X0]: (~pd0_0(X0)|~being_limit_ordinal(X0))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f224])).
% 4.71/1.09 fof(f226,plain,(
% 4.71/1.09 ![X0,X1]: (~pd0_0(X0)|~ordinal(X1)|~X0=succ(X1))),
% 4.71/1.09 inference(cnf_transformation,[status(esa)],[f224])).
% 4.71/1.09 fof(f227,plain,(
% 4.71/1.09 spl0_0 <=> ~ordinal(X0)|ordinal_subset(X0,X0)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f230,plain,(
% 4.71/1.09 spl0_1 <=> ~ordinal(X1)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f231,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|~spl0_1)),
% 4.71/1.09 inference(component_clause,[status(thm)],[f230])).
% 4.71/1.09 fof(f233,plain,(
% 4.71/1.09 spl0_0|spl0_1),
% 4.71/1.09 inference(split_clause,[status(thm)],[f176,f227,f230])).
% 4.71/1.09 fof(f234,plain,(
% 4.71/1.09 spl0_2 <=> pd0_0(sk0_14)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f235,plain,(
% 4.71/1.09 pd0_0(sk0_14)|~spl0_2),
% 4.71/1.09 inference(component_clause,[status(thm)],[f234])).
% 4.71/1.09 fof(f237,plain,(
% 4.71/1.09 spl0_3 <=> ordinal(sk0_15)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f240,plain,(
% 4.71/1.09 spl0_2|spl0_3),
% 4.71/1.09 inference(split_clause,[status(thm)],[f207,f234,f237])).
% 4.71/1.09 fof(f241,plain,(
% 4.71/1.09 spl0_4 <=> sk0_14=succ(sk0_15)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f242,plain,(
% 4.71/1.09 sk0_14=succ(sk0_15)|~spl0_4),
% 4.71/1.09 inference(component_clause,[status(thm)],[f241])).
% 4.71/1.09 fof(f244,plain,(
% 4.71/1.09 spl0_2|spl0_4),
% 4.71/1.09 inference(split_clause,[status(thm)],[f208,f234,f241])).
% 4.71/1.09 fof(f245,plain,(
% 4.71/1.09 spl0_5 <=> being_limit_ordinal(sk0_14)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f246,plain,(
% 4.71/1.09 being_limit_ordinal(sk0_14)|~spl0_5),
% 4.71/1.09 inference(component_clause,[status(thm)],[f245])).
% 4.71/1.09 fof(f248,plain,(
% 4.71/1.09 spl0_2|spl0_5),
% 4.71/1.09 inference(split_clause,[status(thm)],[f209,f234,f245])).
% 4.71/1.09 fof(f250,plain,(
% 4.71/1.09 ![X0]: (~pd0_0(succ(X0))|~ordinal(X0))),
% 4.71/1.09 inference(destructive_equality_resolution,[status(esa)],[f226])).
% 4.71/1.09 fof(f251,plain,(
% 4.71/1.09 ![X0]: (~in(succ(X0),X0))),
% 4.71/1.09 inference(resolution,[status(thm)],[f62,f179])).
% 4.71/1.09 fof(f277,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|~ordinal_subset(X0,X1)|proper_subset(X0,X1)|X0=X1)),
% 4.71/1.09 inference(resolution,[status(thm)],[f172,f90])).
% 4.71/1.09 fof(f278,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|~ordinal_subset(X0,X1)|X0=X1|~proper_subset(X1,X0))),
% 4.71/1.09 inference(resolution,[status(thm)],[f277,f64])).
% 4.71/1.09 fof(f279,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|~ordinal_subset(X0,X1)|X0=X1|~ordinal(X1)|~ordinal(X0)|~ordinal_subset(X1,X0)|X1=X0)),
% 4.71/1.09 inference(resolution,[status(thm)],[f278,f277])).
% 4.71/1.09 fof(f280,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|~ordinal_subset(X0,X1)|X0=X1|~ordinal_subset(X1,X0))),
% 4.71/1.09 inference(duplicate_literals_removal,[status(esa)],[f279])).
% 4.71/1.09 fof(f281,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|~ordinal_subset(X0,X1)|X0=X1|~ordinal(X1)|~ordinal(X0)|~subset(X1,X0))),
% 4.71/1.09 inference(resolution,[status(thm)],[f280,f173])).
% 4.71/1.09 fof(f282,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|~ordinal_subset(X0,X1)|X0=X1|~subset(X1,X0))),
% 4.71/1.09 inference(duplicate_literals_removal,[status(esa)],[f281])).
% 4.71/1.09 fof(f316,plain,(
% 4.71/1.09 spl0_6 <=> empty(empty_set)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f319,plain,(
% 4.71/1.09 spl0_7 <=> ~empty(X0)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f320,plain,(
% 4.71/1.09 ![X0]: (~empty(X0)|~spl0_7)),
% 4.71/1.09 inference(component_clause,[status(thm)],[f319])).
% 4.71/1.09 fof(f322,plain,(
% 4.71/1.09 ![X0]: (empty(empty_set)|~empty(X0))),
% 4.71/1.09 inference(paramodulation,[status(thm)],[f180,f118])).
% 4.71/1.09 fof(f323,plain,(
% 4.71/1.09 spl0_6|spl0_7),
% 4.71/1.09 inference(split_clause,[status(thm)],[f322,f316,f319])).
% 4.71/1.09 fof(f324,plain,(
% 4.71/1.09 spl0_8 <=> ~relation(X0)|relation(X0)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f327,plain,(
% 4.71/1.09 spl0_9 <=> relation(empty_set)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f329,plain,(
% 4.71/1.09 ~relation(empty_set)|spl0_9),
% 4.71/1.09 inference(component_clause,[status(thm)],[f327])).
% 4.71/1.09 fof(f330,plain,(
% 4.71/1.09 ![X0]: (~relation(X0)|~relation(empty_set)|relation(X0))),
% 4.71/1.09 inference(paramodulation,[status(thm)],[f180,f107])).
% 4.71/1.09 fof(f331,plain,(
% 4.71/1.09 spl0_8|~spl0_9),
% 4.71/1.09 inference(split_clause,[status(thm)],[f330,f324,f327])).
% 4.71/1.09 fof(f334,plain,(
% 4.71/1.09 $false|spl0_9),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f329,f94])).
% 4.71/1.09 fof(f335,plain,(
% 4.71/1.09 spl0_9),
% 4.71/1.09 inference(contradiction_clause,[status(thm)],[f334])).
% 4.71/1.09 fof(f336,plain,(
% 4.71/1.09 ![X0,X1]: (~epsilon_transitive(X0)|~ordinal(X1)|in(X0,X1)|~ordinal(X0)|~ordinal(X1)|~ordinal_subset(X0,X1)|X0=X1)),
% 4.71/1.09 inference(resolution,[status(thm)],[f184,f277])).
% 4.71/1.09 fof(f337,plain,(
% 4.71/1.09 ![X0,X1]: (~epsilon_transitive(X0)|~ordinal(X1)|in(X0,X1)|~ordinal(X0)|~ordinal_subset(X0,X1)|X0=X1)),
% 4.71/1.09 inference(duplicate_literals_removal,[status(esa)],[f336])).
% 4.71/1.09 fof(f338,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(X1,X0)|~ordinal(X1)|~ordinal_subset(X1,X0)|X1=X0)),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f337,f68])).
% 4.71/1.09 fof(f349,plain,(
% 4.71/1.09 ![X0]: (~in(X0,empty_set))),
% 4.71/1.09 inference(resolution,[status(thm)],[f220,f93])).
% 4.71/1.09 fof(f360,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(sk0_13(X0),X0)|~ordinal(X0)|~ordinal(X1)|~in(X1,X0)|in(succ(X1),X0))),
% 4.71/1.09 inference(resolution,[status(thm)],[f200,f198])).
% 4.71/1.09 fof(f361,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(sk0_13(X0),X0)|~ordinal(X1)|~in(X1,X0)|in(succ(X1),X0))),
% 4.71/1.09 inference(duplicate_literals_removal,[status(esa)],[f360])).
% 4.71/1.09 fof(f362,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(sk0_13(X0),X0)|~pd0_0(X0))),
% 4.71/1.09 inference(resolution,[status(thm)],[f200,f225])).
% 4.71/1.09 fof(f363,plain,(
% 4.71/1.09 spl0_10 <=> ordinal(sk0_14)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f365,plain,(
% 4.71/1.09 ~ordinal(sk0_14)|spl0_10),
% 4.71/1.09 inference(component_clause,[status(thm)],[f363])).
% 4.71/1.09 fof(f366,plain,(
% 4.71/1.09 spl0_11 <=> in(sk0_13(sk0_14),sk0_14)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f367,plain,(
% 4.71/1.09 in(sk0_13(sk0_14),sk0_14)|~spl0_11),
% 4.71/1.09 inference(component_clause,[status(thm)],[f366])).
% 4.71/1.09 fof(f369,plain,(
% 4.71/1.09 ~ordinal(sk0_14)|in(sk0_13(sk0_14),sk0_14)|~spl0_2),
% 4.71/1.09 inference(resolution,[status(thm)],[f362,f235])).
% 4.71/1.09 fof(f370,plain,(
% 4.71/1.09 ~spl0_10|spl0_11|~spl0_2),
% 4.71/1.09 inference(split_clause,[status(thm)],[f369,f363,f366,f234])).
% 4.71/1.09 fof(f371,plain,(
% 4.71/1.09 $false|spl0_10),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f365,f206])).
% 4.71/1.09 fof(f372,plain,(
% 4.71/1.09 spl0_10),
% 4.71/1.09 inference(contradiction_clause,[status(thm)],[f371])).
% 4.71/1.09 fof(f373,plain,(
% 4.71/1.09 spl0_12 <=> ~ordinal(X0)|~in(X0,sk0_14)|in(succ(X0),sk0_14)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f374,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|~in(X0,sk0_14)|in(succ(X0),sk0_14)|~spl0_12)),
% 4.71/1.09 inference(component_clause,[status(thm)],[f373])).
% 4.71/1.09 fof(f376,plain,(
% 4.71/1.09 ![X0]: (~ordinal(sk0_14)|~ordinal(X0)|~in(X0,sk0_14)|in(succ(X0),sk0_14)|~spl0_5)),
% 4.71/1.09 inference(resolution,[status(thm)],[f246,f198])).
% 4.71/1.09 fof(f377,plain,(
% 4.71/1.09 ~spl0_10|spl0_12|~spl0_5),
% 4.71/1.09 inference(split_clause,[status(thm)],[f376,f363,f373,f245])).
% 4.71/1.09 fof(f378,plain,(
% 4.71/1.09 ~pd0_0(sk0_14)|~spl0_5),
% 4.71/1.09 inference(resolution,[status(thm)],[f246,f225])).
% 4.71/1.09 fof(f403,plain,(
% 4.71/1.09 in(sk0_15,sk0_14)|~spl0_4),
% 4.71/1.09 inference(paramodulation,[status(thm)],[f242,f179])).
% 4.71/1.09 fof(f405,plain,(
% 4.71/1.09 ~pd0_0(sk0_14)|~ordinal(sk0_15)|~spl0_4),
% 4.71/1.09 inference(paramodulation,[status(thm)],[f242,f250])).
% 4.71/1.09 fof(f406,plain,(
% 4.71/1.09 ~spl0_2|~spl0_3|~spl0_4),
% 4.71/1.09 inference(split_clause,[status(thm)],[f405,f234,f237,f241])).
% 4.71/1.09 fof(f430,plain,(
% 4.71/1.09 spl0_20 <=> ordinal(empty_set)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f432,plain,(
% 4.71/1.09 ~ordinal(empty_set)|spl0_20),
% 4.71/1.09 inference(component_clause,[status(thm)],[f430])).
% 4.71/1.09 fof(f433,plain,(
% 4.71/1.09 spl0_21 <=> in(sk0_13(empty_set),empty_set)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f434,plain,(
% 4.71/1.09 in(sk0_13(empty_set),empty_set)|~spl0_21),
% 4.71/1.09 inference(component_clause,[status(thm)],[f433])).
% 4.71/1.09 fof(f438,plain,(
% 4.71/1.09 $false|spl0_20),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f432,f105])).
% 4.71/1.09 fof(f439,plain,(
% 4.71/1.09 spl0_20),
% 4.71/1.09 inference(contradiction_clause,[status(thm)],[f438])).
% 4.71/1.09 fof(f440,plain,(
% 4.71/1.09 $false|~spl0_21),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f434,f349])).
% 4.71/1.09 fof(f441,plain,(
% 4.71/1.09 ~spl0_21),
% 4.71/1.09 inference(contradiction_clause,[status(thm)],[f440])).
% 4.71/1.09 fof(f451,plain,(
% 4.71/1.09 spl0_22 <=> ordinal(sk0_13(sk0_14))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f453,plain,(
% 4.71/1.09 ~ordinal(sk0_13(sk0_14))|spl0_22),
% 4.71/1.09 inference(component_clause,[status(thm)],[f451])).
% 4.71/1.09 fof(f454,plain,(
% 4.71/1.09 spl0_23 <=> in(succ(sk0_13(sk0_14)),sk0_14)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f455,plain,(
% 4.71/1.09 in(succ(sk0_13(sk0_14)),sk0_14)|~spl0_23),
% 4.71/1.09 inference(component_clause,[status(thm)],[f454])).
% 4.71/1.09 fof(f460,plain,(
% 4.71/1.09 ~ordinal(sk0_14)|being_limit_ordinal(sk0_14)|spl0_22),
% 4.71/1.09 inference(resolution,[status(thm)],[f453,f199])).
% 4.71/1.09 fof(f461,plain,(
% 4.71/1.09 ~spl0_10|spl0_5|spl0_22),
% 4.71/1.09 inference(split_clause,[status(thm)],[f460,f363,f245,f451])).
% 4.71/1.09 fof(f471,plain,(
% 4.71/1.09 ~spl0_2|~spl0_5),
% 4.71/1.09 inference(split_clause,[status(thm)],[f378,f234,f245])).
% 4.71/1.09 fof(f479,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|~in(X0,X1)|~ordinal(X1)|~ordinal(succ(X0))|~ordinal_subset(X1,succ(X0))|X1=succ(X0))),
% 4.71/1.09 inference(resolution,[status(thm)],[f189,f280])).
% 4.71/1.09 fof(f480,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|~in(X0,X1)|~ordinal(succ(X0))|~ordinal_subset(X1,succ(X0))|X1=succ(X0))),
% 4.71/1.09 inference(duplicate_literals_removal,[status(esa)],[f479])).
% 4.71/1.09 fof(f481,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|~in(X0,X1)|~ordinal_subset(X1,succ(X0))|X1=succ(X0))),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f480,f115])).
% 4.71/1.09 fof(f485,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|in(X0,X1)|~ordinal(X1)|~ordinal(succ(X0))|ordinal_subset(X1,succ(X0)))),
% 4.71/1.09 inference(resolution,[status(thm)],[f190,f84])).
% 4.71/1.09 fof(f486,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|in(X0,X1)|~ordinal(succ(X0))|ordinal_subset(X1,succ(X0)))),
% 4.71/1.09 inference(duplicate_literals_removal,[status(esa)],[f485])).
% 4.71/1.09 fof(f487,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|in(X0,X1)|ordinal_subset(X1,succ(X0)))),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f486,f115])).
% 4.71/1.09 fof(f492,plain,(
% 4.71/1.09 ![X0,X1]: (~in(X0,X1)|~element(X1,powerset(empty_set)))),
% 4.71/1.09 inference(resolution,[status(thm)],[f215,f93])).
% 4.71/1.09 fof(f493,plain,(
% 4.71/1.09 spl0_26 <=> ~ordinal(X0)|in(sk0_15,X0)|~ordinal_subset(sk0_14,X0)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f494,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(sk0_15,X0)|~ordinal_subset(sk0_14,X0)|~spl0_26)),
% 4.71/1.09 inference(component_clause,[status(thm)],[f493])).
% 4.71/1.09 fof(f496,plain,(
% 4.71/1.09 ![X0]: (~ordinal(sk0_15)|~ordinal(X0)|in(sk0_15,X0)|~ordinal_subset(sk0_14,X0)|~spl0_4)),
% 4.71/1.09 inference(paramodulation,[status(thm)],[f242,f190])).
% 4.71/1.09 fof(f497,plain,(
% 4.71/1.09 ~spl0_3|spl0_26|~spl0_4),
% 4.71/1.09 inference(split_clause,[status(thm)],[f496,f237,f493,f241])).
% 4.71/1.09 fof(f498,plain,(
% 4.71/1.09 spl0_27 <=> ~ordinal(X0)|~in(sk0_15,X0)|ordinal_subset(sk0_14,X0)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f499,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|~in(sk0_15,X0)|ordinal_subset(sk0_14,X0)|~spl0_27)),
% 4.71/1.09 inference(component_clause,[status(thm)],[f498])).
% 4.71/1.09 fof(f501,plain,(
% 4.71/1.09 ![X0]: (~ordinal(sk0_15)|~ordinal(X0)|~in(sk0_15,X0)|ordinal_subset(sk0_14,X0)|~spl0_4)),
% 4.71/1.09 inference(paramodulation,[status(thm)],[f242,f189])).
% 4.71/1.09 fof(f502,plain,(
% 4.71/1.09 ~spl0_3|spl0_27|~spl0_4),
% 4.71/1.09 inference(split_clause,[status(thm)],[f501,f237,f498,f241])).
% 4.71/1.09 fof(f532,plain,(
% 4.71/1.09 spl0_31 <=> in(succ(sk0_15),sk0_14)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f533,plain,(
% 4.71/1.09 in(succ(sk0_15),sk0_14)|~spl0_31),
% 4.71/1.09 inference(component_clause,[status(thm)],[f532])).
% 4.71/1.09 fof(f535,plain,(
% 4.71/1.09 ~ordinal(sk0_15)|in(succ(sk0_15),sk0_14)|~spl0_4|~spl0_12),
% 4.71/1.09 inference(resolution,[status(thm)],[f403,f374])).
% 4.71/1.09 fof(f536,plain,(
% 4.71/1.09 ~spl0_3|spl0_31|~spl0_4|~spl0_12),
% 4.71/1.09 inference(split_clause,[status(thm)],[f535,f237,f532,f241,f373])).
% 4.71/1.09 fof(f540,plain,(
% 4.71/1.09 in(sk0_14,sk0_14)|~spl0_4|~spl0_31),
% 4.71/1.09 inference(forward_demodulation,[status(thm)],[f242,f533])).
% 4.71/1.09 fof(f550,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(succ(X1))|in(X0,succ(X1))|~ordinal(X1)|~ordinal(succ(X0))|in(X1,succ(X0)))),
% 4.71/1.09 inference(resolution,[status(thm)],[f487,f190])).
% 4.71/1.09 fof(f551,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(succ(X1))|in(X0,succ(X1))|~ordinal(X1)|in(X1,succ(X0)))),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f550,f115])).
% 4.71/1.09 fof(f571,plain,(
% 4.71/1.09 spl0_34 <=> in(succ(sk0_14),sk0_14)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f572,plain,(
% 4.71/1.09 in(succ(sk0_14),sk0_14)|~spl0_34),
% 4.71/1.09 inference(component_clause,[status(thm)],[f571])).
% 4.71/1.09 fof(f578,plain,(
% 4.71/1.09 ~in(sk0_14,sk0_14)|~spl0_4|~spl0_31),
% 4.71/1.09 inference(resolution,[status(thm)],[f540,f62])).
% 4.71/1.09 fof(f579,plain,(
% 4.71/1.09 $false|~spl0_4|~spl0_31),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f578,f540])).
% 4.71/1.09 fof(f580,plain,(
% 4.71/1.09 ~spl0_4|~spl0_31),
% 4.71/1.09 inference(contradiction_clause,[status(thm)],[f579])).
% 4.71/1.09 fof(f598,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(X0,succ(X1))|~ordinal(X1)|in(X1,succ(X0)))),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f551,f115])).
% 4.71/1.09 fof(f599,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(sk0_13(succ(X0)))))|~ordinal(succ(sk0_13(succ(X0))))|~ordinal(succ(X0))|being_limit_ordinal(succ(X0)))),
% 4.71/1.09 inference(resolution,[status(thm)],[f598,f201])).
% 4.71/1.09 fof(f600,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(sk0_13(succ(X0)))))|~ordinal(succ(sk0_13(succ(X0))))|being_limit_ordinal(succ(X0)))),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f599,f115])).
% 4.71/1.09 fof(f605,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(X0,succ(X1))|~ordinal(X1)|~in(succ(X0),X1))),
% 4.71/1.09 inference(resolution,[status(thm)],[f598,f62])).
% 4.71/1.09 fof(f606,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(X0,succ(succ(X1)))|~ordinal(succ(X1))|~ordinal(X1)|in(X1,succ(succ(X0)))|~ordinal(succ(X0)))),
% 4.71/1.09 inference(resolution,[status(thm)],[f605,f598])).
% 4.71/1.09 fof(f607,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(X0,succ(succ(X1)))|~ordinal(succ(X1))|~ordinal(X1)|in(X1,succ(succ(X0))))),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f606,f115])).
% 4.71/1.09 fof(f609,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(X0,succ(succ(X1)))|~ordinal(X1)|in(X1,succ(succ(X0))))),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f607,f115])).
% 4.71/1.09 fof(f611,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(X0,succ(succ(succ(X1))))|~ordinal(succ(X1))|~ordinal(X1)|in(X1,succ(succ(succ(X0))))|~ordinal(succ(succ(X0))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f609,f605])).
% 4.71/1.09 fof(f612,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(X0,succ(succ(succ(X1))))|~ordinal(X1)|in(X1,succ(succ(succ(X0))))|~ordinal(succ(succ(X0))))),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f611,f115])).
% 4.71/1.09 fof(f623,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(X0,succ(succ(sk0_13(succ(X0)))))|~ordinal(succ(sk0_13(succ(X0))))|~ordinal(succ(X0))|~ordinal(X1)|~in(X1,succ(X0))|in(succ(X1),succ(X0)))),
% 4.71/1.09 inference(resolution,[status(thm)],[f600,f198])).
% 4.71/1.09 fof(f624,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(X0,succ(succ(sk0_13(succ(X0)))))|~ordinal(succ(sk0_13(succ(X0))))|~ordinal(X1)|~in(X1,succ(X0))|in(succ(X1),succ(X0)))),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f623,f115])).
% 4.71/1.09 fof(f630,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(X0,succ(succ(sk0_13(succ(X0)))))|~ordinal(X1)|~in(X1,succ(X0))|in(succ(X1),succ(X0))|~ordinal(sk0_13(succ(X0))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f624,f115])).
% 4.71/1.09 fof(f633,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(X0,succ(succ(sk0_13(succ(X0)))))|~ordinal(X1)|~in(X1,succ(X0))|in(succ(X1),succ(X0))|~ordinal(succ(X0))|being_limit_ordinal(succ(X0)))),
% 4.71/1.09 inference(resolution,[status(thm)],[f630,f199])).
% 4.71/1.09 fof(f634,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(X0,succ(succ(sk0_13(succ(X0)))))|~ordinal(X1)|~in(X1,succ(X0))|in(succ(X1),succ(X0))|being_limit_ordinal(succ(X0)))),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f633,f115])).
% 4.71/1.09 fof(f648,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(succ(X1))|~in(X0,succ(X1))|succ(X1)=succ(X0)|~ordinal(X1)|~ordinal(succ(X0))|~in(X1,succ(X0)))),
% 4.71/1.09 inference(resolution,[status(thm)],[f481,f189])).
% 4.71/1.09 fof(f649,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(succ(X1))|~in(X0,succ(X1))|succ(X1)=succ(X0)|~ordinal(X1)|~in(X1,succ(X0)))),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f648,f115])).
% 4.71/1.09 fof(f655,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~in(X0,succ(X1))|succ(X1)=succ(X0)|~ordinal(X1)|~in(X1,succ(X0)))),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f649,f115])).
% 4.71/1.09 fof(f664,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(succ(X0))|~in(succ(X0),succ(X1))|succ(X1)=succ(succ(X0))|~ordinal(X1)|~ordinal(X0)|in(X0,succ(succ(X1)))|~ordinal(X1))),
% 4.71/1.09 inference(resolution,[status(thm)],[f655,f609])).
% 4.71/1.09 fof(f665,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(succ(X0))|~in(succ(X0),succ(X1))|succ(X1)=succ(succ(X0))|~ordinal(X1)|~ordinal(X0)|in(X0,succ(succ(X1))))),
% 4.71/1.09 inference(duplicate_literals_removal,[status(esa)],[f664])).
% 4.71/1.09 fof(f666,plain,(
% 4.71/1.09 ![X0,X1]: (~in(succ(X0),succ(X1))|succ(X1)=succ(succ(X0))|~ordinal(X1)|~ordinal(X0)|in(X0,succ(succ(X1))))),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f665,f115])).
% 4.71/1.09 fof(f726,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(X0,succ(succ(succ(X1))))|~ordinal(X1)|in(X1,succ(succ(succ(X0))))|~ordinal(succ(X0)))),
% 4.71/1.09 inference(resolution,[status(thm)],[f612,f115])).
% 4.71/1.09 fof(f727,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(X0,succ(succ(succ(X1))))|~ordinal(X1)|in(X1,succ(succ(succ(X0)))))),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f726,f115])).
% 4.71/1.09 fof(f730,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(sk0_14))))|in(sk0_14,succ(succ(succ(X0)))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f727,f206])).
% 4.71/1.09 fof(f733,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(sk0_10))))|in(sk0_10,succ(succ(succ(X0)))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f727,f162])).
% 4.71/1.09 fof(f734,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(sk0_2))))|in(sk0_2,succ(succ(succ(X0)))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f727,f131])).
% 4.71/1.09 fof(f735,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(empty_set))))|in(empty_set,succ(succ(succ(X0)))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f727,f105])).
% 4.71/1.09 fof(f736,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(X1)))))|in(succ(X1),succ(succ(succ(X0))))|~ordinal(X1))),
% 4.71/1.09 inference(resolution,[status(thm)],[f727,f115])).
% 4.71/1.09 fof(f738,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|in(X0,succ(succ(succ(X1))))|in(X1,succ(succ(succ(X0))))|~epsilon_transitive(X1)|~epsilon_connected(X1))),
% 4.71/1.09 inference(resolution,[status(thm)],[f727,f77])).
% 4.71/1.09 fof(f739,plain,(
% 4.71/1.09 spl0_37 <=> ~ordinal(X0)|in(X0,succ(succ(succ(sk0_14))))|~ordinal(succ(succ(X0)))|~in(succ(succ(X0)),succ(sk0_14))|succ(sk0_14)=succ(succ(succ(X0)))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f742,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(sk0_14))))|~ordinal(succ(succ(X0)))|~in(succ(succ(X0)),succ(sk0_14))|succ(sk0_14)=succ(succ(succ(X0)))|~ordinal(sk0_14))),
% 4.71/1.09 inference(resolution,[status(thm)],[f730,f655])).
% 4.71/1.09 fof(f743,plain,(
% 4.71/1.09 spl0_37|~spl0_10),
% 4.71/1.09 inference(split_clause,[status(thm)],[f742,f739,f363])).
% 4.71/1.09 fof(f744,plain,(
% 4.71/1.09 spl0_38 <=> ~ordinal(X0)|in(X0,succ(succ(succ(sk0_14))))|~ordinal(succ(succ(succ(X0))))|in(sk0_13(succ(succ(succ(X0)))),succ(succ(succ(X0))))|in(succ(sk0_14),succ(succ(succ(X0))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f747,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(sk0_14))))|~ordinal(succ(succ(succ(X0))))|in(sk0_13(succ(succ(succ(X0)))),succ(succ(succ(X0))))|~ordinal(sk0_14)|in(succ(sk0_14),succ(succ(succ(X0)))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f730,f361])).
% 4.71/1.09 fof(f748,plain,(
% 4.71/1.09 spl0_38|~spl0_10),
% 4.71/1.09 inference(split_clause,[status(thm)],[f747,f744,f363])).
% 4.71/1.09 fof(f750,plain,(
% 4.71/1.09 spl0_39 <=> ~ordinal(X0)|in(X0,succ(succ(succ(sk0_10))))|~ordinal(succ(succ(X0)))|~in(succ(succ(X0)),succ(sk0_10))|succ(sk0_10)=succ(succ(succ(X0)))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f753,plain,(
% 4.71/1.09 spl0_40 <=> ordinal(sk0_10)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f755,plain,(
% 4.71/1.09 ~ordinal(sk0_10)|spl0_40),
% 4.71/1.09 inference(component_clause,[status(thm)],[f753])).
% 4.71/1.09 fof(f756,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(sk0_10))))|~ordinal(succ(succ(X0)))|~in(succ(succ(X0)),succ(sk0_10))|succ(sk0_10)=succ(succ(succ(X0)))|~ordinal(sk0_10))),
% 4.71/1.09 inference(resolution,[status(thm)],[f733,f655])).
% 4.71/1.09 fof(f757,plain,(
% 4.71/1.09 spl0_39|~spl0_40),
% 4.71/1.09 inference(split_clause,[status(thm)],[f756,f750,f753])).
% 4.71/1.09 fof(f758,plain,(
% 4.71/1.09 spl0_41 <=> ~ordinal(X0)|in(X0,succ(succ(succ(sk0_10))))|~ordinal(succ(succ(succ(X0))))|in(sk0_13(succ(succ(succ(X0)))),succ(succ(succ(X0))))|in(succ(sk0_10),succ(succ(succ(X0))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f761,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(sk0_10))))|~ordinal(succ(succ(succ(X0))))|in(sk0_13(succ(succ(succ(X0)))),succ(succ(succ(X0))))|~ordinal(sk0_10)|in(succ(sk0_10),succ(succ(succ(X0)))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f733,f361])).
% 4.71/1.09 fof(f762,plain,(
% 4.71/1.09 spl0_41|~spl0_40),
% 4.71/1.09 inference(split_clause,[status(thm)],[f761,f758,f753])).
% 4.71/1.09 fof(f764,plain,(
% 4.71/1.09 $false|spl0_40),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f755,f162])).
% 4.71/1.09 fof(f765,plain,(
% 4.71/1.09 spl0_40),
% 4.71/1.09 inference(contradiction_clause,[status(thm)],[f764])).
% 4.71/1.09 fof(f766,plain,(
% 4.71/1.09 spl0_42 <=> ~ordinal(X0)|in(X0,succ(succ(succ(sk0_2))))|~ordinal(succ(succ(X0)))|~in(succ(succ(X0)),succ(sk0_2))|succ(sk0_2)=succ(succ(succ(X0)))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f769,plain,(
% 4.71/1.09 spl0_43 <=> ordinal(sk0_2)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f771,plain,(
% 4.71/1.09 ~ordinal(sk0_2)|spl0_43),
% 4.71/1.09 inference(component_clause,[status(thm)],[f769])).
% 4.71/1.09 fof(f772,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(sk0_2))))|~ordinal(succ(succ(X0)))|~in(succ(succ(X0)),succ(sk0_2))|succ(sk0_2)=succ(succ(succ(X0)))|~ordinal(sk0_2))),
% 4.71/1.09 inference(resolution,[status(thm)],[f734,f655])).
% 4.71/1.09 fof(f773,plain,(
% 4.71/1.09 spl0_42|~spl0_43),
% 4.71/1.09 inference(split_clause,[status(thm)],[f772,f766,f769])).
% 4.71/1.09 fof(f774,plain,(
% 4.71/1.09 spl0_44 <=> ~ordinal(X0)|in(X0,succ(succ(succ(sk0_2))))|~ordinal(succ(succ(succ(X0))))|in(sk0_13(succ(succ(succ(X0)))),succ(succ(succ(X0))))|in(succ(sk0_2),succ(succ(succ(X0))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f777,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(sk0_2))))|~ordinal(succ(succ(succ(X0))))|in(sk0_13(succ(succ(succ(X0)))),succ(succ(succ(X0))))|~ordinal(sk0_2)|in(succ(sk0_2),succ(succ(succ(X0)))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f734,f361])).
% 4.71/1.09 fof(f778,plain,(
% 4.71/1.09 spl0_44|~spl0_43),
% 4.71/1.09 inference(split_clause,[status(thm)],[f777,f774,f769])).
% 4.71/1.09 fof(f780,plain,(
% 4.71/1.09 $false|spl0_43),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f771,f131])).
% 4.71/1.09 fof(f781,plain,(
% 4.71/1.09 spl0_43),
% 4.71/1.09 inference(contradiction_clause,[status(thm)],[f780])).
% 4.71/1.09 fof(f782,plain,(
% 4.71/1.09 spl0_45 <=> ~ordinal(X0)|in(X0,succ(succ(succ(empty_set))))|~ordinal(succ(succ(X0)))|~in(succ(succ(X0)),succ(empty_set))|succ(empty_set)=succ(succ(succ(X0)))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f785,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(empty_set))))|~ordinal(succ(succ(X0)))|~in(succ(succ(X0)),succ(empty_set))|succ(empty_set)=succ(succ(succ(X0)))|~ordinal(empty_set))),
% 4.71/1.09 inference(resolution,[status(thm)],[f735,f655])).
% 4.71/1.09 fof(f786,plain,(
% 4.71/1.09 spl0_45|~spl0_20),
% 4.71/1.09 inference(split_clause,[status(thm)],[f785,f782,f430])).
% 4.71/1.09 fof(f787,plain,(
% 4.71/1.09 spl0_46 <=> ~ordinal(X0)|in(X0,succ(succ(succ(empty_set))))|~ordinal(succ(succ(succ(X0))))|in(sk0_13(succ(succ(succ(X0)))),succ(succ(succ(X0))))|in(succ(empty_set),succ(succ(succ(X0))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f790,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(empty_set))))|~ordinal(succ(succ(succ(X0))))|in(sk0_13(succ(succ(succ(X0)))),succ(succ(succ(X0))))|~ordinal(empty_set)|in(succ(empty_set),succ(succ(succ(X0)))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f735,f361])).
% 4.71/1.09 fof(f791,plain,(
% 4.71/1.09 spl0_46|~spl0_20),
% 4.71/1.09 inference(split_clause,[status(thm)],[f790,f787,f430])).
% 4.71/1.09 fof(f813,plain,(
% 4.71/1.09 spl0_50 <=> ~ordinal(X0)|in(X0,succ(succ(succ(sk0_10))))|in(sk0_10,succ(succ(succ(X0))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f816,plain,(
% 4.71/1.09 spl0_51 <=> epsilon_transitive(sk0_10)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f818,plain,(
% 4.71/1.09 ~epsilon_transitive(sk0_10)|spl0_51),
% 4.71/1.09 inference(component_clause,[status(thm)],[f816])).
% 4.71/1.09 fof(f819,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(sk0_10))))|in(sk0_10,succ(succ(succ(X0))))|~epsilon_transitive(sk0_10))),
% 4.71/1.09 inference(resolution,[status(thm)],[f738,f161])).
% 4.71/1.09 fof(f820,plain,(
% 4.71/1.09 spl0_50|~spl0_51),
% 4.71/1.09 inference(split_clause,[status(thm)],[f819,f813,f816])).
% 4.71/1.09 fof(f821,plain,(
% 4.71/1.09 spl0_52 <=> ~ordinal(X0)|in(X0,succ(succ(succ(sk0_2))))|in(sk0_2,succ(succ(succ(X0))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f824,plain,(
% 4.71/1.09 spl0_53 <=> epsilon_transitive(sk0_2)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f826,plain,(
% 4.71/1.09 ~epsilon_transitive(sk0_2)|spl0_53),
% 4.71/1.09 inference(component_clause,[status(thm)],[f824])).
% 4.71/1.09 fof(f827,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(sk0_2))))|in(sk0_2,succ(succ(succ(X0))))|~epsilon_transitive(sk0_2))),
% 4.71/1.09 inference(resolution,[status(thm)],[f738,f130])).
% 4.71/1.09 fof(f828,plain,(
% 4.71/1.09 spl0_52|~spl0_53),
% 4.71/1.09 inference(split_clause,[status(thm)],[f827,f821,f824])).
% 4.71/1.09 fof(f829,plain,(
% 4.71/1.09 spl0_54 <=> ~ordinal(X0)|in(X0,succ(succ(succ(empty_set))))|in(empty_set,succ(succ(succ(X0))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f832,plain,(
% 4.71/1.09 spl0_55 <=> epsilon_transitive(empty_set)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f834,plain,(
% 4.71/1.09 ~epsilon_transitive(empty_set)|spl0_55),
% 4.71/1.09 inference(component_clause,[status(thm)],[f832])).
% 4.71/1.09 fof(f835,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(empty_set))))|in(empty_set,succ(succ(succ(X0))))|~epsilon_transitive(empty_set))),
% 4.71/1.09 inference(resolution,[status(thm)],[f738,f104])).
% 4.71/1.09 fof(f836,plain,(
% 4.71/1.09 spl0_54|~spl0_55),
% 4.71/1.09 inference(split_clause,[status(thm)],[f835,f829,f832])).
% 4.71/1.09 fof(f839,plain,(
% 4.71/1.09 $false|spl0_55),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f834,f103])).
% 4.71/1.09 fof(f840,plain,(
% 4.71/1.09 spl0_55),
% 4.71/1.09 inference(contradiction_clause,[status(thm)],[f839])).
% 4.71/1.09 fof(f841,plain,(
% 4.71/1.09 $false|spl0_53),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f826,f129])).
% 4.71/1.09 fof(f842,plain,(
% 4.71/1.09 spl0_53),
% 4.71/1.09 inference(contradiction_clause,[status(thm)],[f841])).
% 4.71/1.09 fof(f843,plain,(
% 4.71/1.09 $false|spl0_51),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f818,f160])).
% 4.71/1.09 fof(f844,plain,(
% 4.71/1.09 spl0_51),
% 4.71/1.09 inference(contradiction_clause,[status(thm)],[f843])).
% 4.71/1.09 fof(f845,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_14)))))|in(succ(sk0_14),succ(succ(succ(X0)))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f736,f206])).
% 4.71/1.09 fof(f848,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_10)))))|in(succ(sk0_10),succ(succ(succ(X0)))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f736,f162])).
% 4.71/1.09 fof(f849,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_2)))))|in(succ(sk0_2),succ(succ(succ(X0)))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f736,f131])).
% 4.71/1.09 fof(f854,plain,(
% 4.71/1.09 spl0_56 <=> ~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_14)))))|succ(succ(succ(X0)))=succ(succ(sk0_14))|~ordinal(succ(succ(X0)))|in(sk0_14,succ(succ(succ(succ(X0)))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f857,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_14)))))|succ(succ(succ(X0)))=succ(succ(sk0_14))|~ordinal(succ(succ(X0)))|~ordinal(sk0_14)|in(sk0_14,succ(succ(succ(succ(X0))))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f845,f666])).
% 4.71/1.09 fof(f858,plain,(
% 4.71/1.09 spl0_56|~spl0_10),
% 4.71/1.09 inference(split_clause,[status(thm)],[f857,f854,f363])).
% 4.71/1.09 fof(f859,plain,(
% 4.71/1.09 spl0_57 <=> ~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_14)))))|in(sk0_14,succ(succ(succ(succ(X0)))))|~ordinal(succ(succ(succ(X0))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f862,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_14)))))|~ordinal(sk0_14)|in(sk0_14,succ(succ(succ(succ(X0)))))|~ordinal(succ(succ(succ(X0)))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f845,f605])).
% 4.71/1.09 fof(f863,plain,(
% 4.71/1.09 spl0_57|~spl0_10),
% 4.71/1.09 inference(split_clause,[status(thm)],[f862,f859,f363])).
% 4.71/1.09 fof(f864,plain,(
% 4.71/1.09 spl0_58 <=> ~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_14)))))|~ordinal(succ(succ(X0)))|~in(succ(succ(X0)),succ(succ(sk0_14)))|succ(succ(sk0_14))=succ(succ(succ(X0)))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f867,plain,(
% 4.71/1.09 spl0_59 <=> ordinal(succ(sk0_14))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f869,plain,(
% 4.71/1.09 ~ordinal(succ(sk0_14))|spl0_59),
% 4.71/1.09 inference(component_clause,[status(thm)],[f867])).
% 4.71/1.09 fof(f870,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_14)))))|~ordinal(succ(succ(X0)))|~in(succ(succ(X0)),succ(succ(sk0_14)))|succ(succ(sk0_14))=succ(succ(succ(X0)))|~ordinal(succ(sk0_14)))),
% 4.71/1.09 inference(resolution,[status(thm)],[f845,f655])).
% 4.71/1.09 fof(f871,plain,(
% 4.71/1.09 spl0_58|~spl0_59),
% 4.71/1.09 inference(split_clause,[status(thm)],[f870,f864,f867])).
% 4.71/1.09 fof(f872,plain,(
% 4.71/1.09 spl0_60 <=> ~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_14)))))|~ordinal(succ(succ(succ(X0))))|in(sk0_13(succ(succ(succ(X0)))),succ(succ(succ(X0))))|in(succ(succ(sk0_14)),succ(succ(succ(X0))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f875,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_14)))))|~ordinal(succ(succ(succ(X0))))|in(sk0_13(succ(succ(succ(X0)))),succ(succ(succ(X0))))|~ordinal(succ(sk0_14))|in(succ(succ(sk0_14)),succ(succ(succ(X0)))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f845,f361])).
% 4.71/1.09 fof(f876,plain,(
% 4.71/1.09 spl0_60|~spl0_59),
% 4.71/1.09 inference(split_clause,[status(thm)],[f875,f872,f867])).
% 4.71/1.09 fof(f878,plain,(
% 4.71/1.09 ~ordinal(sk0_14)|spl0_59),
% 4.71/1.09 inference(resolution,[status(thm)],[f869,f115])).
% 4.71/1.09 fof(f879,plain,(
% 4.71/1.09 ~spl0_10|spl0_59),
% 4.71/1.09 inference(split_clause,[status(thm)],[f878,f363,f867])).
% 4.71/1.09 fof(f881,plain,(
% 4.71/1.09 spl0_61 <=> epsilon_transitive(succ(sk0_14))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f883,plain,(
% 4.71/1.09 ~epsilon_transitive(succ(sk0_14))|spl0_61),
% 4.71/1.09 inference(component_clause,[status(thm)],[f881])).
% 4.71/1.09 fof(f884,plain,(
% 4.71/1.09 spl0_62 <=> epsilon_connected(succ(sk0_14))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f885,plain,(
% 4.71/1.09 epsilon_connected(succ(sk0_14))|~spl0_62),
% 4.71/1.09 inference(component_clause,[status(thm)],[f884])).
% 4.71/1.09 fof(f886,plain,(
% 4.71/1.09 ~epsilon_connected(succ(sk0_14))|spl0_62),
% 4.71/1.09 inference(component_clause,[status(thm)],[f884])).
% 4.71/1.09 fof(f894,plain,(
% 4.71/1.09 ~ordinal(succ(sk0_14))|spl0_62),
% 4.71/1.09 inference(resolution,[status(thm)],[f886,f69])).
% 4.71/1.09 fof(f895,plain,(
% 4.71/1.09 ~spl0_59|spl0_62),
% 4.71/1.09 inference(split_clause,[status(thm)],[f894,f867,f884])).
% 4.71/1.09 fof(f899,plain,(
% 4.71/1.09 ~ordinal(succ(sk0_14))|spl0_61),
% 4.71/1.09 inference(resolution,[status(thm)],[f883,f68])).
% 4.71/1.09 fof(f900,plain,(
% 4.71/1.09 ~spl0_59|spl0_61),
% 4.71/1.09 inference(split_clause,[status(thm)],[f899,f867,f881])).
% 4.71/1.09 fof(f901,plain,(
% 4.71/1.09 spl0_63 <=> ~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_14)))))|in(succ(sk0_14),succ(succ(succ(X0))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f904,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_14)))))|in(succ(sk0_14),succ(succ(succ(X0))))|~epsilon_transitive(succ(sk0_14))|~spl0_62)),
% 4.71/1.09 inference(resolution,[status(thm)],[f885,f738])).
% 4.71/1.09 fof(f905,plain,(
% 4.71/1.09 spl0_63|~spl0_61|~spl0_62),
% 4.71/1.09 inference(split_clause,[status(thm)],[f904,f901,f881,f884])).
% 4.71/1.09 fof(f906,plain,(
% 4.71/1.09 spl0_64 <=> ~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_10)))))|succ(succ(succ(X0)))=succ(succ(sk0_10))|~ordinal(succ(succ(X0)))|in(sk0_10,succ(succ(succ(succ(X0)))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f909,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_10)))))|succ(succ(succ(X0)))=succ(succ(sk0_10))|~ordinal(succ(succ(X0)))|~ordinal(sk0_10)|in(sk0_10,succ(succ(succ(succ(X0))))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f848,f666])).
% 4.71/1.09 fof(f910,plain,(
% 4.71/1.09 spl0_64|~spl0_40),
% 4.71/1.09 inference(split_clause,[status(thm)],[f909,f906,f753])).
% 4.71/1.09 fof(f911,plain,(
% 4.71/1.09 spl0_65 <=> ~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_10)))))|in(sk0_10,succ(succ(succ(succ(X0)))))|~ordinal(succ(succ(succ(X0))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f914,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_10)))))|~ordinal(sk0_10)|in(sk0_10,succ(succ(succ(succ(X0)))))|~ordinal(succ(succ(succ(X0)))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f848,f605])).
% 4.71/1.09 fof(f915,plain,(
% 4.71/1.09 spl0_65|~spl0_40),
% 4.71/1.09 inference(split_clause,[status(thm)],[f914,f911,f753])).
% 4.71/1.09 fof(f916,plain,(
% 4.71/1.09 spl0_66 <=> ~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_10)))))|~ordinal(succ(succ(X0)))|~in(succ(succ(X0)),succ(succ(sk0_10)))|succ(succ(sk0_10))=succ(succ(succ(X0)))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f919,plain,(
% 4.71/1.09 spl0_67 <=> ordinal(succ(sk0_10))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f921,plain,(
% 4.71/1.09 ~ordinal(succ(sk0_10))|spl0_67),
% 4.71/1.09 inference(component_clause,[status(thm)],[f919])).
% 4.71/1.09 fof(f922,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_10)))))|~ordinal(succ(succ(X0)))|~in(succ(succ(X0)),succ(succ(sk0_10)))|succ(succ(sk0_10))=succ(succ(succ(X0)))|~ordinal(succ(sk0_10)))),
% 4.71/1.09 inference(resolution,[status(thm)],[f848,f655])).
% 4.71/1.09 fof(f923,plain,(
% 4.71/1.09 spl0_66|~spl0_67),
% 4.71/1.09 inference(split_clause,[status(thm)],[f922,f916,f919])).
% 4.71/1.09 fof(f924,plain,(
% 4.71/1.09 spl0_68 <=> ~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_10)))))|~ordinal(succ(succ(succ(X0))))|in(sk0_13(succ(succ(succ(X0)))),succ(succ(succ(X0))))|in(succ(succ(sk0_10)),succ(succ(succ(X0))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f927,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_10)))))|~ordinal(succ(succ(succ(X0))))|in(sk0_13(succ(succ(succ(X0)))),succ(succ(succ(X0))))|~ordinal(succ(sk0_10))|in(succ(succ(sk0_10)),succ(succ(succ(X0)))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f848,f361])).
% 4.71/1.09 fof(f928,plain,(
% 4.71/1.09 spl0_68|~spl0_67),
% 4.71/1.09 inference(split_clause,[status(thm)],[f927,f924,f919])).
% 4.71/1.09 fof(f930,plain,(
% 4.71/1.09 ~ordinal(sk0_10)|spl0_67),
% 4.71/1.09 inference(resolution,[status(thm)],[f921,f115])).
% 4.71/1.09 fof(f931,plain,(
% 4.71/1.09 ~spl0_40|spl0_67),
% 4.71/1.09 inference(split_clause,[status(thm)],[f930,f753,f919])).
% 4.71/1.09 fof(f933,plain,(
% 4.71/1.09 spl0_69 <=> epsilon_transitive(succ(sk0_10))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f935,plain,(
% 4.71/1.09 ~epsilon_transitive(succ(sk0_10))|spl0_69),
% 4.71/1.09 inference(component_clause,[status(thm)],[f933])).
% 4.71/1.09 fof(f936,plain,(
% 4.71/1.09 spl0_70 <=> epsilon_connected(succ(sk0_10))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f937,plain,(
% 4.71/1.09 epsilon_connected(succ(sk0_10))|~spl0_70),
% 4.71/1.09 inference(component_clause,[status(thm)],[f936])).
% 4.71/1.09 fof(f938,plain,(
% 4.71/1.09 ~epsilon_connected(succ(sk0_10))|spl0_70),
% 4.71/1.09 inference(component_clause,[status(thm)],[f936])).
% 4.71/1.09 fof(f946,plain,(
% 4.71/1.09 ~ordinal(succ(sk0_10))|spl0_70),
% 4.71/1.09 inference(resolution,[status(thm)],[f938,f69])).
% 4.71/1.09 fof(f947,plain,(
% 4.71/1.09 ~spl0_67|spl0_70),
% 4.71/1.09 inference(split_clause,[status(thm)],[f946,f919,f936])).
% 4.71/1.09 fof(f951,plain,(
% 4.71/1.09 ~ordinal(succ(sk0_10))|spl0_69),
% 4.71/1.09 inference(resolution,[status(thm)],[f935,f68])).
% 4.71/1.09 fof(f952,plain,(
% 4.71/1.09 ~spl0_67|spl0_69),
% 4.71/1.09 inference(split_clause,[status(thm)],[f951,f919,f933])).
% 4.71/1.09 fof(f953,plain,(
% 4.71/1.09 spl0_71 <=> ~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_10)))))|in(succ(sk0_10),succ(succ(succ(X0))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f956,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_10)))))|in(succ(sk0_10),succ(succ(succ(X0))))|~epsilon_transitive(succ(sk0_10))|~spl0_70)),
% 4.71/1.09 inference(resolution,[status(thm)],[f937,f738])).
% 4.71/1.09 fof(f957,plain,(
% 4.71/1.09 spl0_71|~spl0_69|~spl0_70),
% 4.71/1.09 inference(split_clause,[status(thm)],[f956,f953,f933,f936])).
% 4.71/1.09 fof(f958,plain,(
% 4.71/1.09 spl0_72 <=> ~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_2)))))|succ(succ(succ(X0)))=succ(succ(sk0_2))|~ordinal(succ(succ(X0)))|in(sk0_2,succ(succ(succ(succ(X0)))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f961,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_2)))))|succ(succ(succ(X0)))=succ(succ(sk0_2))|~ordinal(succ(succ(X0)))|~ordinal(sk0_2)|in(sk0_2,succ(succ(succ(succ(X0))))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f849,f666])).
% 4.71/1.09 fof(f962,plain,(
% 4.71/1.09 spl0_72|~spl0_43),
% 4.71/1.09 inference(split_clause,[status(thm)],[f961,f958,f769])).
% 4.71/1.09 fof(f963,plain,(
% 4.71/1.09 spl0_73 <=> ~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_2)))))|in(sk0_2,succ(succ(succ(succ(X0)))))|~ordinal(succ(succ(succ(X0))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f966,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_2)))))|~ordinal(sk0_2)|in(sk0_2,succ(succ(succ(succ(X0)))))|~ordinal(succ(succ(succ(X0)))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f849,f605])).
% 4.71/1.09 fof(f967,plain,(
% 4.71/1.09 spl0_73|~spl0_43),
% 4.71/1.09 inference(split_clause,[status(thm)],[f966,f963,f769])).
% 4.71/1.09 fof(f968,plain,(
% 4.71/1.09 spl0_74 <=> ~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_2)))))|~ordinal(succ(succ(X0)))|~in(succ(succ(X0)),succ(succ(sk0_2)))|succ(succ(sk0_2))=succ(succ(succ(X0)))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f971,plain,(
% 4.71/1.09 spl0_75 <=> ordinal(succ(sk0_2))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f973,plain,(
% 4.71/1.09 ~ordinal(succ(sk0_2))|spl0_75),
% 4.71/1.09 inference(component_clause,[status(thm)],[f971])).
% 4.71/1.09 fof(f974,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_2)))))|~ordinal(succ(succ(X0)))|~in(succ(succ(X0)),succ(succ(sk0_2)))|succ(succ(sk0_2))=succ(succ(succ(X0)))|~ordinal(succ(sk0_2)))),
% 4.71/1.09 inference(resolution,[status(thm)],[f849,f655])).
% 4.71/1.09 fof(f975,plain,(
% 4.71/1.09 spl0_74|~spl0_75),
% 4.71/1.09 inference(split_clause,[status(thm)],[f974,f968,f971])).
% 4.71/1.09 fof(f976,plain,(
% 4.71/1.09 spl0_76 <=> ~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_2)))))|~ordinal(succ(succ(succ(X0))))|in(sk0_13(succ(succ(succ(X0)))),succ(succ(succ(X0))))|in(succ(succ(sk0_2)),succ(succ(succ(X0))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f979,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_2)))))|~ordinal(succ(succ(succ(X0))))|in(sk0_13(succ(succ(succ(X0)))),succ(succ(succ(X0))))|~ordinal(succ(sk0_2))|in(succ(succ(sk0_2)),succ(succ(succ(X0)))))),
% 4.71/1.09 inference(resolution,[status(thm)],[f849,f361])).
% 4.71/1.09 fof(f980,plain,(
% 4.71/1.09 spl0_76|~spl0_75),
% 4.71/1.09 inference(split_clause,[status(thm)],[f979,f976,f971])).
% 4.71/1.09 fof(f982,plain,(
% 4.71/1.09 ~ordinal(sk0_2)|spl0_75),
% 4.71/1.09 inference(resolution,[status(thm)],[f973,f115])).
% 4.71/1.09 fof(f983,plain,(
% 4.71/1.09 ~spl0_43|spl0_75),
% 4.71/1.09 inference(split_clause,[status(thm)],[f982,f769,f971])).
% 4.71/1.09 fof(f985,plain,(
% 4.71/1.09 spl0_77 <=> epsilon_transitive(succ(sk0_2))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f987,plain,(
% 4.71/1.09 ~epsilon_transitive(succ(sk0_2))|spl0_77),
% 4.71/1.09 inference(component_clause,[status(thm)],[f985])).
% 4.71/1.09 fof(f988,plain,(
% 4.71/1.09 spl0_78 <=> epsilon_connected(succ(sk0_2))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f989,plain,(
% 4.71/1.09 epsilon_connected(succ(sk0_2))|~spl0_78),
% 4.71/1.09 inference(component_clause,[status(thm)],[f988])).
% 4.71/1.09 fof(f990,plain,(
% 4.71/1.09 ~epsilon_connected(succ(sk0_2))|spl0_78),
% 4.71/1.09 inference(component_clause,[status(thm)],[f988])).
% 4.71/1.09 fof(f998,plain,(
% 4.71/1.09 ~ordinal(succ(sk0_2))|spl0_78),
% 4.71/1.09 inference(resolution,[status(thm)],[f990,f69])).
% 4.71/1.09 fof(f999,plain,(
% 4.71/1.09 ~spl0_75|spl0_78),
% 4.71/1.09 inference(split_clause,[status(thm)],[f998,f971,f988])).
% 4.71/1.09 fof(f1022,plain,(
% 4.71/1.09 ~ordinal(succ(sk0_2))|spl0_77),
% 4.71/1.09 inference(resolution,[status(thm)],[f987,f68])).
% 4.71/1.09 fof(f1023,plain,(
% 4.71/1.09 ~spl0_75|spl0_77),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1022,f971,f985])).
% 4.71/1.09 fof(f1024,plain,(
% 4.71/1.09 spl0_79 <=> ~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_2)))))|in(succ(sk0_2),succ(succ(succ(X0))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1027,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(X0,succ(succ(succ(succ(sk0_2)))))|in(succ(sk0_2),succ(succ(succ(X0))))|~epsilon_transitive(succ(sk0_2))|~spl0_78)),
% 4.71/1.09 inference(resolution,[status(thm)],[f989,f738])).
% 4.71/1.09 fof(f1028,plain,(
% 4.71/1.09 spl0_79|~spl0_77|~spl0_78),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1027,f1024,f985,f988])).
% 4.71/1.09 fof(f1030,plain,(
% 4.71/1.09 ![X0,X1]: (~in(X0,X1)|~subset(X1,empty_set))),
% 4.71/1.09 inference(resolution,[status(thm)],[f492,f194])).
% 4.71/1.09 fof(f1062,plain,(
% 4.71/1.09 $false|~spl0_34),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f572,f251])).
% 4.71/1.09 fof(f1063,plain,(
% 4.71/1.09 ~spl0_34),
% 4.71/1.09 inference(contradiction_clause,[status(thm)],[f1062])).
% 4.71/1.09 fof(f1119,plain,(
% 4.71/1.09 $false|~spl0_7),
% 4.71/1.09 inference(backward_subsumption_resolution,[status(thm)],[f93,f320])).
% 4.71/1.09 fof(f1120,plain,(
% 4.71/1.09 ~spl0_7),
% 4.71/1.09 inference(contradiction_clause,[status(thm)],[f1119])).
% 4.71/1.09 fof(f1121,plain,(
% 4.71/1.09 $false|~spl0_1),
% 4.71/1.09 inference(backward_subsumption_resolution,[status(thm)],[f206,f231])).
% 4.71/1.09 fof(f1122,plain,(
% 4.71/1.09 ~spl0_1),
% 4.71/1.09 inference(contradiction_clause,[status(thm)],[f1121])).
% 4.71/1.09 fof(f1136,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|proper_subset(X0,X1)|X0=X1|~ordinal(X1)|~ordinal(X0)|ordinal_subset(X1,X0))),
% 4.71/1.09 inference(resolution,[status(thm)],[f277,f84])).
% 4.71/1.09 fof(f1137,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|proper_subset(X0,X1)|X0=X1|ordinal_subset(X1,X0))),
% 4.71/1.09 inference(duplicate_literals_removal,[status(esa)],[f1136])).
% 4.71/1.09 fof(f1144,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|proper_subset(X0,X1)|X0=X1|~ordinal(X1)|~ordinal(X0)|proper_subset(X1,X0)|X1=X0)),
% 4.71/1.09 inference(resolution,[status(thm)],[f1137,f277])).
% 4.71/1.09 fof(f1145,plain,(
% 4.71/1.09 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|proper_subset(X0,X1)|X0=X1|proper_subset(X1,X0))),
% 4.71/1.09 inference(duplicate_literals_removal,[status(esa)],[f1144])).
% 4.71/1.09 fof(f1189,plain,(
% 4.71/1.09 spl0_91 <=> ordinal_subset(succ(sk0_13(sk0_14)),sk0_14)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1190,plain,(
% 4.71/1.09 ordinal_subset(succ(sk0_13(sk0_14)),sk0_14)|~spl0_91),
% 4.71/1.09 inference(component_clause,[status(thm)],[f1189])).
% 4.71/1.09 fof(f1192,plain,(
% 4.71/1.09 ~ordinal(sk0_13(sk0_14))|~ordinal(sk0_14)|ordinal_subset(succ(sk0_13(sk0_14)),sk0_14)|~spl0_11),
% 4.71/1.09 inference(resolution,[status(thm)],[f189,f367])).
% 4.71/1.09 fof(f1193,plain,(
% 4.71/1.09 ~spl0_22|~spl0_10|spl0_91|~spl0_11),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1192,f451,f363,f1189,f366])).
% 4.71/1.09 fof(f1218,plain,(
% 4.71/1.09 ~ordinal(sk0_14)|being_limit_ordinal(sk0_14)|~spl0_23),
% 4.71/1.09 inference(resolution,[status(thm)],[f455,f201])).
% 4.71/1.09 fof(f1219,plain,(
% 4.71/1.09 ~spl0_10|spl0_5|~spl0_23),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1218,f363,f245,f454])).
% 4.71/1.09 fof(f1225,plain,(
% 4.71/1.09 spl0_96 <=> ordinal(succ(sk0_13(sk0_14)))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1227,plain,(
% 4.71/1.09 ~ordinal(succ(sk0_13(sk0_14)))|spl0_96),
% 4.71/1.09 inference(component_clause,[status(thm)],[f1225])).
% 4.71/1.09 fof(f1234,plain,(
% 4.71/1.09 ~ordinal(sk0_13(sk0_14))|spl0_96),
% 4.71/1.09 inference(resolution,[status(thm)],[f1227,f115])).
% 4.71/1.09 fof(f1235,plain,(
% 4.71/1.09 ~spl0_22|spl0_96),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1234,f451,f1225])).
% 4.71/1.09 fof(f1242,plain,(
% 4.71/1.09 spl0_99 <=> succ(sk0_13(sk0_14))=sk0_14),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1243,plain,(
% 4.71/1.09 succ(sk0_13(sk0_14))=sk0_14|~spl0_99),
% 4.71/1.09 inference(component_clause,[status(thm)],[f1242])).
% 4.71/1.09 fof(f1257,plain,(
% 4.71/1.09 spl0_102 <=> ~ordinal(X0)|in(sk0_15,X0)|~ordinal(X0)|proper_subset(X0,sk0_14)|X0=sk0_14),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1260,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(sk0_15,X0)|~ordinal(X0)|~ordinal(sk0_14)|proper_subset(X0,sk0_14)|X0=sk0_14|~spl0_26)),
% 4.71/1.09 inference(resolution,[status(thm)],[f494,f1137])).
% 4.71/1.09 fof(f1261,plain,(
% 4.71/1.09 spl0_102|~spl0_10|~spl0_26),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1260,f1257,f363,f493])).
% 4.71/1.09 fof(f1262,plain,(
% 4.71/1.09 spl0_103 <=> ~ordinal(X0)|in(sk0_15,X0)|~ordinal(X0)|ordinal_subset(X0,sk0_14)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1263,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(sk0_15,X0)|~ordinal(X0)|ordinal_subset(X0,sk0_14)|~spl0_103)),
% 4.71/1.09 inference(component_clause,[status(thm)],[f1262])).
% 4.71/1.09 fof(f1265,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(sk0_15,X0)|~ordinal(X0)|~ordinal(sk0_14)|ordinal_subset(X0,sk0_14)|~spl0_26)),
% 4.71/1.09 inference(resolution,[status(thm)],[f494,f84])).
% 4.71/1.09 fof(f1266,plain,(
% 4.71/1.09 spl0_103|~spl0_10|~spl0_26),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1265,f1262,f363,f493])).
% 4.71/1.09 fof(f1267,plain,(
% 4.71/1.09 spl0_104 <=> ~ordinal(X0)|in(sk0_15,X0)|~ordinal(X0)|~subset(sk0_14,X0)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1268,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(sk0_15,X0)|~ordinal(X0)|~subset(sk0_14,X0)|~spl0_104)),
% 4.71/1.09 inference(component_clause,[status(thm)],[f1267])).
% 4.71/1.09 fof(f1270,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(sk0_15,X0)|~ordinal(sk0_14)|~ordinal(X0)|~subset(sk0_14,X0)|~spl0_26)),
% 4.71/1.09 inference(resolution,[status(thm)],[f494,f173])).
% 4.71/1.09 fof(f1271,plain,(
% 4.71/1.09 spl0_104|~spl0_10|~spl0_26),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1270,f1267,f363,f493])).
% 4.71/1.09 fof(f1272,plain,(
% 4.71/1.09 spl0_105 <=> in(sk0_15,sk0_14)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1273,plain,(
% 4.71/1.09 in(sk0_15,sk0_14)|~spl0_105),
% 4.71/1.09 inference(component_clause,[status(thm)],[f1272])).
% 4.71/1.09 fof(f1277,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(sk0_15,X0)|~subset(sk0_14,X0)|~spl0_104)),
% 4.71/1.09 inference(duplicate_literals_removal,[status(esa)],[f1268])).
% 4.71/1.09 fof(f1278,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(sk0_15,X0)|ordinal_subset(X0,sk0_14)|~spl0_103)),
% 4.71/1.09 inference(duplicate_literals_removal,[status(esa)],[f1263])).
% 4.71/1.09 fof(f1285,plain,(
% 4.71/1.09 spl0_107 <=> ordinal(succ(sk0_15))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1287,plain,(
% 4.71/1.09 ~ordinal(succ(sk0_15))|spl0_107),
% 4.71/1.09 inference(component_clause,[status(thm)],[f1285])).
% 4.71/1.09 fof(f1288,plain,(
% 4.71/1.09 spl0_108 <=> ordinal_subset(sk0_14,succ(sk0_15))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1291,plain,(
% 4.71/1.09 ~ordinal(succ(sk0_15))|ordinal_subset(sk0_14,succ(sk0_15))|~spl0_27),
% 4.71/1.09 inference(resolution,[status(thm)],[f499,f179])).
% 4.71/1.09 fof(f1292,plain,(
% 4.71/1.09 ~spl0_107|spl0_108|~spl0_27),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1291,f1285,f1288,f498])).
% 4.71/1.09 fof(f1295,plain,(
% 4.71/1.09 spl0_109 <=> ordinal_subset(succ(sk0_15),sk0_14)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1298,plain,(
% 4.71/1.09 ~ordinal(sk0_15)|~ordinal(sk0_14)|ordinal_subset(succ(sk0_15),sk0_14)|~spl0_105),
% 4.71/1.09 inference(resolution,[status(thm)],[f1273,f189])).
% 4.71/1.09 fof(f1299,plain,(
% 4.71/1.09 ~spl0_3|~spl0_10|spl0_109|~spl0_105),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1298,f237,f363,f1295,f1272])).
% 4.71/1.09 fof(f1308,plain,(
% 4.71/1.09 ~pd0_0(sk0_14)|~ordinal(sk0_13(sk0_14))|~spl0_99),
% 4.71/1.09 inference(paramodulation,[status(thm)],[f1243,f250])).
% 4.71/1.09 fof(f1309,plain,(
% 4.71/1.09 ~spl0_2|~spl0_22|~spl0_99),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1308,f234,f451,f1242])).
% 4.71/1.09 fof(f1342,plain,(
% 4.71/1.09 spl0_117 <=> subset(succ(sk0_15),sk0_14)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1344,plain,(
% 4.71/1.09 ~subset(succ(sk0_15),sk0_14)|spl0_117),
% 4.71/1.09 inference(component_clause,[status(thm)],[f1342])).
% 4.71/1.09 fof(f1356,plain,(
% 4.71/1.09 spl0_119 <=> subset(sk0_14,succ(sk0_15))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1358,plain,(
% 4.71/1.09 ~subset(sk0_14,succ(sk0_15))|spl0_119),
% 4.71/1.09 inference(component_clause,[status(thm)],[f1356])).
% 4.71/1.09 fof(f1361,plain,(
% 4.71/1.09 ~ordinal(succ(sk0_15))|~ordinal(sk0_14)|~ordinal_subset(succ(sk0_15),sk0_14)|spl0_117),
% 4.71/1.09 inference(resolution,[status(thm)],[f1344,f172])).
% 4.71/1.09 fof(f1362,plain,(
% 4.71/1.09 ~spl0_107|~spl0_10|~spl0_109|spl0_117),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1361,f1285,f363,f1295,f1342])).
% 4.71/1.09 fof(f1375,plain,(
% 4.71/1.09 ~ordinal(sk0_14)|~ordinal(succ(sk0_15))|~ordinal_subset(sk0_14,succ(sk0_15))|spl0_119),
% 4.71/1.09 inference(resolution,[status(thm)],[f1358,f172])).
% 4.71/1.09 fof(f1376,plain,(
% 4.71/1.09 ~spl0_10|~spl0_107|~spl0_108|spl0_119),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1375,f363,f1285,f1288,f1356])).
% 4.71/1.09 fof(f1380,plain,(
% 4.71/1.09 spl0_120 <=> ~ordinal(X0)|in(sk0_15,X0)|~ordinal(X0)|~ordinal_subset(sk0_14,X0)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1414,plain,(
% 4.71/1.09 ~ordinal(sk0_14)|~spl0_4|spl0_107),
% 4.71/1.09 inference(backward_demodulation,[status(thm)],[f242,f1287])).
% 4.71/1.09 fof(f1415,plain,(
% 4.71/1.09 ~spl0_10|~spl0_4|spl0_107),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1414,f363,f241,f1285])).
% 4.71/1.09 fof(f1480,plain,(
% 4.71/1.09 spl0_123 <=> ~ordinal(succ(X0))|in(sk0_15,succ(X0))|~ordinal(X0)|in(X0,sk0_14)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1487,plain,(
% 4.71/1.09 spl0_124 <=> ~ordinal(X0)|in(sk0_15,X0)|~ordinal(X0)|~ordinal_subset(sk0_14,X0)|sk0_14=X0),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1492,plain,(
% 4.71/1.09 spl0_125 <=> ~ordinal(X0)|in(sk0_15,X0)|~ordinal(X0)|X0=sk0_14|~subset(sk0_14,X0)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1500,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(sk0_15,X0)|~ordinal(sk0_14)|~ordinal(X0)|~ordinal_subset(sk0_14,X0)|~spl0_104)),
% 4.71/1.09 inference(resolution,[status(thm)],[f1277,f172])).
% 4.71/1.09 fof(f1501,plain,(
% 4.71/1.09 spl0_120|~spl0_10|~spl0_104),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1500,f1380,f363,f1267])).
% 4.71/1.09 fof(f1503,plain,(
% 4.71/1.09 ~ordinal(sk0_14)|in(sk0_15,sk0_14)|~spl0_104),
% 4.71/1.09 inference(resolution,[status(thm)],[f1277,f178])).
% 4.71/1.09 fof(f1504,plain,(
% 4.71/1.09 ~spl0_10|spl0_105|~spl0_104),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1503,f363,f1272,f1267])).
% 4.71/1.09 fof(f1505,plain,(
% 4.71/1.09 ![X0]: (~ordinal(succ(X0))|in(sk0_15,succ(X0))|~ordinal(X0)|~ordinal(sk0_14)|in(X0,sk0_14)|~spl0_103)),
% 4.71/1.09 inference(resolution,[status(thm)],[f1278,f190])).
% 4.71/1.09 fof(f1506,plain,(
% 4.71/1.09 spl0_123|~spl0_10|~spl0_103),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1505,f1480,f363,f1262])).
% 4.71/1.09 fof(f1509,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(sk0_15,X0)|~ordinal(sk0_14)|~ordinal(X0)|~ordinal_subset(sk0_14,X0)|sk0_14=X0|~spl0_103)),
% 4.71/1.09 inference(resolution,[status(thm)],[f1278,f280])).
% 4.71/1.09 fof(f1510,plain,(
% 4.71/1.09 spl0_124|~spl0_10|~spl0_103),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1509,f1487,f363,f1262])).
% 4.71/1.09 fof(f1511,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|in(sk0_15,X0)|~ordinal(X0)|~ordinal(sk0_14)|X0=sk0_14|~subset(sk0_14,X0)|~spl0_103)),
% 4.71/1.09 inference(resolution,[status(thm)],[f1278,f282])).
% 4.71/1.09 fof(f1512,plain,(
% 4.71/1.09 spl0_125|~spl0_10|~spl0_103),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1511,f1492,f363,f1262])).
% 4.71/1.09 fof(f1513,plain,(
% 4.71/1.09 spl0_126 <=> in(succ(sk0_15),succ(sk0_15))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1514,plain,(
% 4.71/1.09 in(succ(sk0_15),succ(sk0_15))|~spl0_126),
% 4.71/1.09 inference(component_clause,[status(thm)],[f1513])).
% 4.71/1.09 fof(f1537,plain,(
% 4.71/1.09 ~in(succ(sk0_15),succ(sk0_15))|~spl0_126),
% 4.71/1.09 inference(resolution,[status(thm)],[f1514,f62])).
% 4.71/1.09 fof(f1538,plain,(
% 4.71/1.09 $false|~spl0_126),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f1537,f1514])).
% 4.71/1.09 fof(f1539,plain,(
% 4.71/1.09 ~spl0_126),
% 4.71/1.09 inference(contradiction_clause,[status(thm)],[f1538])).
% 4.71/1.09 fof(f1603,plain,(
% 4.71/1.09 spl0_132 <=> ordinal(succ(empty_set))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1605,plain,(
% 4.71/1.09 ~ordinal(succ(empty_set))|spl0_132),
% 4.71/1.09 inference(component_clause,[status(thm)],[f1603])).
% 4.71/1.09 fof(f1613,plain,(
% 4.71/1.09 ~ordinal(empty_set)|spl0_132),
% 4.71/1.09 inference(resolution,[status(thm)],[f1605,f115])).
% 4.71/1.09 fof(f1614,plain,(
% 4.71/1.09 ~spl0_20|spl0_132),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1613,f430,f1603])).
% 4.71/1.09 fof(f1648,plain,(
% 4.71/1.09 spl0_137 <=> ~ordinal(X0)|~in(X0,empty_set)|in(succ(X0),empty_set)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1651,plain,(
% 4.71/1.09 ![X0]: (~ordinal(empty_set)|~ordinal(X0)|~in(X0,empty_set)|in(succ(X0),empty_set))),
% 4.71/1.09 inference(resolution,[status(thm)],[f361,f349])).
% 4.71/1.09 fof(f1652,plain,(
% 4.71/1.09 ~spl0_20|spl0_137),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1651,f430,f1648])).
% 4.71/1.09 fof(f1677,plain,(
% 4.71/1.09 spl0_139 <=> ~in(X0,X1)|~ordinal(X1)|~ordinal_subset(X1,empty_set)),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1680,plain,(
% 4.71/1.09 ![X0,X1]: (~in(X0,X1)|~ordinal(X1)|~ordinal(empty_set)|~ordinal_subset(X1,empty_set))),
% 4.71/1.09 inference(resolution,[status(thm)],[f1030,f172])).
% 4.71/1.09 fof(f1681,plain,(
% 4.71/1.09 spl0_139|~spl0_20),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1680,f1677,f430])).
% 4.71/1.09 fof(f1682,plain,(
% 4.71/1.09 ![X0,X1]: (~in(X0,X1)|~proper_subset(X1,empty_set))),
% 4.71/1.09 inference(resolution,[status(thm)],[f1030,f88])).
% 4.71/1.09 fof(f1721,plain,(
% 4.71/1.09 spl0_144 <=> ~in(X0,X1)|~ordinal(X1)|proper_subset(empty_set,X1)|empty_set=X1),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1724,plain,(
% 4.71/1.09 ![X0,X1]: (~in(X0,X1)|~ordinal(empty_set)|~ordinal(X1)|proper_subset(empty_set,X1)|empty_set=X1)),
% 4.71/1.09 inference(resolution,[status(thm)],[f1682,f1145])).
% 4.71/1.09 fof(f1725,plain,(
% 4.71/1.09 spl0_144|~spl0_20),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1724,f1721,f430])).
% 4.71/1.09 fof(f1860,plain,(
% 4.71/1.09 spl0_164 <=> being_limit_ordinal(succ(sk0_14))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1861,plain,(
% 4.71/1.09 being_limit_ordinal(succ(sk0_14))|~spl0_164),
% 4.71/1.09 inference(component_clause,[status(thm)],[f1860])).
% 4.71/1.09 fof(f1862,plain,(
% 4.71/1.09 ~being_limit_ordinal(succ(sk0_14))|spl0_164),
% 4.71/1.09 inference(component_clause,[status(thm)],[f1860])).
% 4.71/1.09 fof(f1956,plain,(
% 4.71/1.09 spl0_182 <=> ~ordinal(X0)|~in(X0,succ(sk0_14))|in(succ(X0),succ(sk0_14))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1957,plain,(
% 4.71/1.09 ![X0]: (~ordinal(X0)|~in(X0,succ(sk0_14))|in(succ(X0),succ(sk0_14))|~spl0_182)),
% 4.71/1.09 inference(component_clause,[status(thm)],[f1956])).
% 4.71/1.09 fof(f1959,plain,(
% 4.71/1.09 ![X0]: (~ordinal(succ(sk0_14))|~ordinal(X0)|~in(X0,succ(sk0_14))|in(succ(X0),succ(sk0_14))|~spl0_164)),
% 4.71/1.09 inference(resolution,[status(thm)],[f1861,f198])).
% 4.71/1.09 fof(f1960,plain,(
% 4.71/1.09 ~spl0_59|spl0_182|~spl0_164),
% 4.71/1.09 inference(split_clause,[status(thm)],[f1959,f867,f1956,f1860])).
% 4.71/1.09 fof(f1984,plain,(
% 4.71/1.09 spl0_187 <=> empty(succ(sk0_14))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f1985,plain,(
% 4.71/1.09 empty(succ(sk0_14))|~spl0_187),
% 4.71/1.09 inference(component_clause,[status(thm)],[f1984])).
% 4.71/1.09 fof(f2000,plain,(
% 4.71/1.09 spl0_191 <=> in(succ(sk0_14),succ(sk0_14))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f2001,plain,(
% 4.71/1.09 in(succ(sk0_14),succ(sk0_14))|~spl0_191),
% 4.71/1.09 inference(component_clause,[status(thm)],[f2000])).
% 4.71/1.09 fof(f2002,plain,(
% 4.71/1.09 ~in(succ(sk0_14),succ(sk0_14))|spl0_191),
% 4.71/1.09 inference(component_clause,[status(thm)],[f2000])).
% 4.71/1.09 fof(f2012,plain,(
% 4.71/1.09 ~ordinal(sk0_14)|in(succ(sk0_14),succ(sk0_14))|~spl0_182),
% 4.71/1.09 inference(resolution,[status(thm)],[f1957,f179])).
% 4.71/1.09 fof(f2013,plain,(
% 4.71/1.09 ~spl0_10|spl0_191|~spl0_182),
% 4.71/1.09 inference(split_clause,[status(thm)],[f2012,f363,f2000,f1956])).
% 4.71/1.09 fof(f2015,plain,(
% 4.71/1.09 $false|~spl0_187),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f1985,f96])).
% 4.71/1.09 fof(f2016,plain,(
% 4.71/1.09 ~spl0_187),
% 4.71/1.09 inference(contradiction_clause,[status(thm)],[f2015])).
% 4.71/1.09 fof(f2020,plain,(
% 4.71/1.09 spl0_194 <=> in(sk0_14,succ(succ(sk0_14)))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f2027,plain,(
% 4.71/1.09 spl0_195 <=> in(succ(succ(sk0_14)),succ(sk0_14))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f2028,plain,(
% 4.71/1.09 in(succ(succ(sk0_14)),succ(sk0_14))|~spl0_195),
% 4.71/1.09 inference(component_clause,[status(thm)],[f2027])).
% 4.71/1.09 fof(f2039,plain,(
% 4.71/1.09 ~in(succ(sk0_14),succ(sk0_14))|~spl0_191),
% 4.71/1.09 inference(resolution,[status(thm)],[f2001,f62])).
% 4.71/1.09 fof(f2040,plain,(
% 4.71/1.09 $false|~spl0_191),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f2039,f2001])).
% 4.71/1.09 fof(f2041,plain,(
% 4.71/1.09 ~spl0_191),
% 4.71/1.09 inference(contradiction_clause,[status(thm)],[f2040])).
% 4.71/1.09 fof(f2042,plain,(
% 4.71/1.09 $false|~spl0_195),
% 4.71/1.09 inference(forward_subsumption_resolution,[status(thm)],[f2028,f251])).
% 4.71/1.09 fof(f2043,plain,(
% 4.71/1.09 ~spl0_195),
% 4.71/1.09 inference(contradiction_clause,[status(thm)],[f2042])).
% 4.71/1.09 fof(f2044,plain,(
% 4.71/1.09 spl0_197 <=> in(sk0_14,succ(succ(sk0_13(succ(sk0_14)))))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f2047,plain,(
% 4.71/1.09 ![X0]: (~ordinal(sk0_14)|in(sk0_14,succ(succ(sk0_13(succ(sk0_14)))))|~ordinal(X0)|~in(X0,succ(sk0_14))|in(succ(X0),succ(sk0_14))|spl0_164)),
% 4.71/1.09 inference(resolution,[status(thm)],[f1862,f634])).
% 4.71/1.09 fof(f2048,plain,(
% 4.71/1.09 ~spl0_10|spl0_197|spl0_182|spl0_164),
% 4.71/1.09 inference(split_clause,[status(thm)],[f2047,f363,f2044,f1956,f1860])).
% 4.71/1.09 fof(f2049,plain,(
% 4.71/1.09 spl0_198 <=> in(sk0_13(succ(sk0_14)),succ(sk0_14))),
% 4.71/1.09 introduced(split_symbol_definition)).
% 4.71/1.09 fof(f2052,plain,(
% 4.71/1.09 ~ordinal(succ(sk0_14))|in(sk0_13(succ(sk0_14)),succ(sk0_14))|spl0_164),
% 4.71/1.09 inference(resolution,[status(thm)],[f1862,f200])).
% 4.71/1.09 fof(f2053,plain,(
% 4.71/1.09 ~spl0_59|spl0_198|spl0_164),
% 4.71/1.09 inference(split_clause,[status(thm)],[f2052,f867,f2049,f1860])).
% 4.71/1.09 fof(f2054,plain,(
% 4.71/1.09 ~ordinal(sk0_14)|in(sk0_14,succ(succ(sk0_14)))|~ordinal(succ(sk0_14))|spl0_191),
% 4.71/1.09 inference(resolution,[status(thm)],[f2002,f598])).
% 4.71/1.09 fof(f2055,plain,(
% 4.71/1.09 ~spl0_10|spl0_194|~spl0_59|spl0_191),
% 4.71/1.09 inference(split_clause,[status(thm)],[f2054,f363,f2020,f867,f2000])).
% 4.71/1.09 fof(f2188,plain,(
% 4.71/1.09 ~ordinal(sk0_14)|in(succ(sk0_13(sk0_14)),sk0_14)|~ordinal(succ(sk0_13(sk0_14)))|succ(sk0_13(sk0_14))=sk0_14|~spl0_91),
% 4.71/1.09 inference(resolution,[status(thm)],[f338,f1190])).
% 4.71/1.09 fof(f2189,plain,(
% 4.71/1.09 ~spl0_10|spl0_23|~spl0_96|spl0_99|~spl0_91),
% 4.71/1.09 inference(split_clause,[status(thm)],[f2188,f363,f454,f1225,f1242,f1189])).
% 4.71/1.11 fof(f2199,plain,(
% 4.71/1.11 $false),
% 4.71/1.11 inference(sat_refutation,[status(thm)],[f233,f240,f244,f248,f323,f331,f335,f370,f372,f377,f406,f439,f441,f461,f471,f497,f502,f536,f580,f743,f748,f757,f762,f765,f773,f778,f781,f786,f791,f820,f828,f836,f840,f842,f844,f858,f863,f871,f876,f879,f895,f900,f905,f910,f915,f923,f928,f931,f947,f952,f957,f962,f967,f975,f980,f983,f999,f1023,f1028,f1063,f1120,f1122,f1193,f1219,f1235,f1261,f1266,f1271,f1292,f1299,f1309,f1362,f1376,f1415,f1501,f1504,f1506,f1510,f1512,f1539,f1614,f1652,f1681,f1725,f1960,f2013,f2016,f2041,f2043,f2048,f2053,f2055,f2189])).
% 4.71/1.11 % SZS output end CNFRefutation for theBenchmark.p
% 4.71/1.12 % Elapsed time: 0.780056 seconds
% 4.71/1.12 % CPU time: 5.032476 seconds
% 4.71/1.12 % Memory used: 103.814 MB
%------------------------------------------------------------------------------