TSTP Solution File: SEU298+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU298+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:41:51 EDT 2024
% Result : Theorem 0.15s 0.35s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SEU298+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon Apr 29 19:56:05 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 0.15/0.35 % Refutation found
% 0.15/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.35 fof(f1,conjecture,(
% 0.15/0.35 (! [A,B] :( ( ordinal(A)& element(B,powerset(powerset(succ(A)))) )=> (? [C] :(! [D] :( in(D,C)<=> ( in(D,powerset(A))& (? [E] :( in(E,B)& D = set_difference(E,singleton(A)) ) )) ) ))) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f2,negated_conjecture,(
% 0.15/0.35 ~((! [A,B] :( ( ordinal(A)& element(B,powerset(powerset(succ(A)))) )=> (? [C] :(! [D] :( in(D,C)<=> ( in(D,powerset(A))& (? [E] :( in(E,B)& D = set_difference(E,singleton(A)) ) )) ) ))) ))),
% 0.15/0.35 inference(negated_conjecture,[status(cth)],[f1])).
% 0.15/0.35 fof(f3,axiom,(
% 0.15/0.35 (! [A] :(? [B] :( element(B,powerset(A))& empty(B)& relation(B)& function(B)& one_to_one(B)& epsilon_transitive(B)& epsilon_connected(B)& ordinal(B)& natural(B)& finite(B) ) ))),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f5,axiom,(
% 0.15/0.35 (? [A] :( relation(A)& function(A)& one_to_one(A)& empty(A)& epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f7,axiom,(
% 0.15/0.35 (? [A] :( relation(A)& empty(A)& function(A) ) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f8,axiom,(
% 0.15/0.35 (! [A] :( ( relation(A)& empty(A)& function(A) )=> ( relation(A)& function(A)& one_to_one(A) ) ) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f9,axiom,(
% 0.15/0.35 (? [A] :( empty(A)& relation(A) ) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f12,axiom,(
% 0.15/0.35 (? [A] :( ~ empty(A)& epsilon_transitive(A)& epsilon_connected(A)& ordinal(A)& natural(A) ) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f16,axiom,(
% 0.15/0.35 (! [A] :( ~ empty(A)=> (? [B] :( element(B,powerset(A))& ~ empty(B)& finite(B) ) )) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f19,axiom,(
% 0.15/0.35 (! [A] :( empty(A)=> function(A) ) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f20,axiom,(
% 0.15/0.35 (! [A] :( empty(A)=> relation(A) ) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f22,axiom,(
% 0.15/0.35 (! [A] :( ( epsilon_transitive(A)& epsilon_connected(A) )=> ordinal(A) ) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f23,axiom,(
% 0.15/0.35 (? [A] :( epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f24,axiom,(
% 0.15/0.35 (! [A] :( empty(A)=> ( epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) ) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f25,axiom,(
% 0.15/0.35 (? [A] :( ~ empty(A)& epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f26,axiom,(
% 0.15/0.35 (! [A] :( ~ empty(A)=> (? [B] :( element(B,powerset(A))& ~ empty(B) ) )) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f27,axiom,(
% 0.15/0.35 (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f28,axiom,(
% 0.15/0.35 (? [A] : empty(A) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f39,axiom,(
% 0.15/0.35 (! [A] :( ordinal(A)=> ( epsilon_transitive(A)& epsilon_connected(A) ) ) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f41,axiom,(
% 0.15/0.35 (! [A] : ~ empty(powerset(A)) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f43,axiom,(
% 0.15/0.35 (! [A,B] :( ( ordinal(A)& element(B,powerset(powerset(succ(A)))) )=> ( (! [C,D,E] :( ( C = D& (? [F] :( in(F,B)& D = set_difference(F,singleton(A)) ))& C = E& (? [G] :( in(G,B)& E = set_difference(G,singleton(A)) ) ))=> D = E ))=> (? [C] :(! [D] :( in(D,C)<=> (? [E] :( in(E,powerset(A))& E = D& (? [H] :( in(H,B)& D = set_difference(H,singleton(A)) ) )) )) ))) ) )),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f44,plain,(
% 0.15/0.35 (?[A,B]: ((ordinal(A)&element(B,powerset(powerset(succ(A)))))&(![C]: ?[D]: (in(D,C)<~>(in(D,powerset(A))&(?[E]: (in(E,B)&D=set_difference(E,singleton(A)))))))))),
% 0.15/0.35 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.15/0.36 fof(f45,plain,(
% 0.15/0.36 ?[A,B]: ((ordinal(A)&element(B,powerset(powerset(succ(A)))))&(![C]: ?[D]: ((in(D,C)|(in(D,powerset(A))&(?[E]: (in(E,B)&D=set_difference(E,singleton(A))))))&(~in(D,C)|(~in(D,powerset(A))|(![E]: (~in(E,B)|~D=set_difference(E,singleton(A)))))))))),
% 0.15/0.36 inference(NNF_transformation,[status(esa)],[f44])).
% 0.15/0.36 fof(f46,plain,(
% 0.15/0.36 ((ordinal(sk0_0)&element(sk0_1,powerset(powerset(succ(sk0_0)))))&(![C]: ((in(sk0_2(C),C)|(in(sk0_2(C),powerset(sk0_0))&(in(sk0_3(C),sk0_1)&sk0_2(C)=set_difference(sk0_3(C),singleton(sk0_0)))))&(~in(sk0_2(C),C)|(~in(sk0_2(C),powerset(sk0_0))|(![E]: (~in(E,sk0_1)|~sk0_2(C)=set_difference(E,singleton(sk0_0)))))))))),
% 0.15/0.36 inference(skolemization,[status(esa)],[f45])).
% 0.15/0.36 fof(f47,plain,(
% 0.15/0.36 ordinal(sk0_0)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f46])).
% 0.15/0.36 fof(f48,plain,(
% 0.15/0.36 element(sk0_1,powerset(powerset(succ(sk0_0))))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f46])).
% 0.15/0.36 fof(f49,plain,(
% 0.15/0.36 ![X0]: (in(sk0_2(X0),X0)|in(sk0_2(X0),powerset(sk0_0)))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f46])).
% 0.15/0.36 fof(f50,plain,(
% 0.15/0.36 ![X0]: (in(sk0_2(X0),X0)|in(sk0_3(X0),sk0_1))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f46])).
% 0.15/0.36 fof(f51,plain,(
% 0.15/0.36 ![X0]: (in(sk0_2(X0),X0)|sk0_2(X0)=set_difference(sk0_3(X0),singleton(sk0_0)))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f46])).
% 0.15/0.36 fof(f52,plain,(
% 0.15/0.36 ![X0,X1]: (~in(sk0_2(X0),X0)|~in(sk0_2(X0),powerset(sk0_0))|~in(X1,sk0_1)|~sk0_2(X0)=set_difference(X1,singleton(sk0_0)))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f46])).
% 0.15/0.36 fof(f53,plain,(
% 0.15/0.36 ![A]: (((((((((element(sk0_4(A),powerset(A))&empty(sk0_4(A)))&relation(sk0_4(A)))&function(sk0_4(A)))&one_to_one(sk0_4(A)))&epsilon_transitive(sk0_4(A)))&epsilon_connected(sk0_4(A)))&ordinal(sk0_4(A)))&natural(sk0_4(A)))&finite(sk0_4(A)))),
% 0.15/0.36 inference(skolemization,[status(esa)],[f3])).
% 0.15/0.36 fof(f54,plain,(
% 0.15/0.36 ![X0]: (element(sk0_4(X0),powerset(X0)))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f53])).
% 0.15/0.36 fof(f68,plain,(
% 0.15/0.36 ((((((relation(sk0_6)&function(sk0_6))&one_to_one(sk0_6))&empty(sk0_6))&epsilon_transitive(sk0_6))&epsilon_connected(sk0_6))&ordinal(sk0_6))),
% 0.15/0.36 inference(skolemization,[status(esa)],[f5])).
% 0.15/0.36 fof(f70,plain,(
% 0.15/0.36 function(sk0_6)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f68])).
% 0.15/0.36 fof(f72,plain,(
% 0.15/0.36 empty(sk0_6)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f68])).
% 0.15/0.36 fof(f73,plain,(
% 0.15/0.36 epsilon_transitive(sk0_6)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f68])).
% 0.15/0.36 fof(f74,plain,(
% 0.15/0.36 epsilon_connected(sk0_6)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f68])).
% 0.15/0.36 fof(f79,plain,(
% 0.15/0.36 ((relation(sk0_8)&empty(sk0_8))&function(sk0_8))),
% 0.15/0.36 inference(skolemization,[status(esa)],[f7])).
% 0.15/0.36 fof(f81,plain,(
% 0.15/0.36 empty(sk0_8)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f79])).
% 0.15/0.36 fof(f82,plain,(
% 0.15/0.36 function(sk0_8)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f79])).
% 0.15/0.36 fof(f83,plain,(
% 0.15/0.36 ![A]: (((~relation(A)|~empty(A))|~function(A))|((relation(A)&function(A))&one_to_one(A)))),
% 0.15/0.36 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.15/0.36 fof(f86,plain,(
% 0.15/0.36 ![X0]: (~relation(X0)|~empty(X0)|~function(X0)|one_to_one(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f83])).
% 0.15/0.36 fof(f87,plain,(
% 0.15/0.36 (empty(sk0_9)&relation(sk0_9))),
% 0.15/0.36 inference(skolemization,[status(esa)],[f9])).
% 0.15/0.36 fof(f88,plain,(
% 0.15/0.36 empty(sk0_9)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f87])).
% 0.15/0.36 fof(f95,plain,(
% 0.15/0.36 ((((~empty(sk0_11)&epsilon_transitive(sk0_11))&epsilon_connected(sk0_11))&ordinal(sk0_11))&natural(sk0_11))),
% 0.15/0.36 inference(skolemization,[status(esa)],[f12])).
% 0.15/0.36 fof(f97,plain,(
% 0.15/0.36 epsilon_transitive(sk0_11)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f95])).
% 0.15/0.36 fof(f98,plain,(
% 0.15/0.36 epsilon_connected(sk0_11)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f95])).
% 0.15/0.36 fof(f112,plain,(
% 0.15/0.36 ![A]: (empty(A)|(?[B]: ((element(B,powerset(A))&~empty(B))&finite(B))))),
% 0.15/0.36 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.15/0.36 fof(f113,plain,(
% 0.15/0.36 ![A]: (empty(A)|((element(sk0_13(A),powerset(A))&~empty(sk0_13(A)))&finite(sk0_13(A))))),
% 0.15/0.36 inference(skolemization,[status(esa)],[f112])).
% 0.15/0.36 fof(f114,plain,(
% 0.15/0.36 ![X0]: (empty(X0)|element(sk0_13(X0),powerset(X0)))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f113])).
% 0.15/0.36 fof(f122,plain,(
% 0.15/0.36 ![A]: (~empty(A)|function(A))),
% 0.15/0.36 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.15/0.36 fof(f123,plain,(
% 0.15/0.36 ![X0]: (~empty(X0)|function(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f122])).
% 0.15/0.36 fof(f124,plain,(
% 0.15/0.36 ![A]: (~empty(A)|relation(A))),
% 0.15/0.36 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.15/0.36 fof(f125,plain,(
% 0.15/0.36 ![X0]: (~empty(X0)|relation(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f124])).
% 0.15/0.36 fof(f131,plain,(
% 0.15/0.36 ![A]: ((~epsilon_transitive(A)|~epsilon_connected(A))|ordinal(A))),
% 0.15/0.36 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.15/0.36 fof(f132,plain,(
% 0.15/0.36 ![X0]: (~epsilon_transitive(X0)|~epsilon_connected(X0)|ordinal(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f131])).
% 0.15/0.36 fof(f133,plain,(
% 0.15/0.36 ((epsilon_transitive(sk0_14)&epsilon_connected(sk0_14))&ordinal(sk0_14))),
% 0.15/0.36 inference(skolemization,[status(esa)],[f23])).
% 0.15/0.36 fof(f134,plain,(
% 0.15/0.36 epsilon_transitive(sk0_14)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f133])).
% 0.15/0.36 fof(f135,plain,(
% 0.15/0.36 epsilon_connected(sk0_14)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f133])).
% 0.15/0.36 fof(f137,plain,(
% 0.15/0.36 ![A]: (~empty(A)|((epsilon_transitive(A)&epsilon_connected(A))&ordinal(A)))),
% 0.15/0.36 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.15/0.36 fof(f138,plain,(
% 0.15/0.36 ![X0]: (~empty(X0)|epsilon_transitive(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f137])).
% 0.15/0.36 fof(f139,plain,(
% 0.15/0.36 ![X0]: (~empty(X0)|epsilon_connected(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f137])).
% 0.15/0.36 fof(f141,plain,(
% 0.15/0.36 (((~empty(sk0_15)&epsilon_transitive(sk0_15))&epsilon_connected(sk0_15))&ordinal(sk0_15))),
% 0.15/0.36 inference(skolemization,[status(esa)],[f25])).
% 0.15/0.36 fof(f143,plain,(
% 0.15/0.36 epsilon_transitive(sk0_15)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f141])).
% 0.15/0.36 fof(f144,plain,(
% 0.15/0.36 epsilon_connected(sk0_15)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f141])).
% 0.15/0.36 fof(f146,plain,(
% 0.15/0.36 ![A]: (empty(A)|(?[B]: (element(B,powerset(A))&~empty(B))))),
% 0.15/0.36 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.15/0.36 fof(f147,plain,(
% 0.15/0.36 ![A]: (empty(A)|(element(sk0_16(A),powerset(A))&~empty(sk0_16(A))))),
% 0.15/0.36 inference(skolemization,[status(esa)],[f146])).
% 0.15/0.36 fof(f148,plain,(
% 0.15/0.36 ![X0]: (empty(X0)|element(sk0_16(X0),powerset(X0)))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f147])).
% 0.15/0.36 fof(f150,plain,(
% 0.15/0.36 ![A]: (element(sk0_17(A),powerset(A))&empty(sk0_17(A)))),
% 0.15/0.36 inference(skolemization,[status(esa)],[f27])).
% 0.15/0.36 fof(f151,plain,(
% 0.15/0.36 ![X0]: (element(sk0_17(X0),powerset(X0)))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f150])).
% 0.15/0.36 fof(f153,plain,(
% 0.15/0.36 empty(sk0_18)),
% 0.15/0.36 inference(skolemization,[status(esa)],[f28])).
% 0.15/0.36 fof(f154,plain,(
% 0.15/0.36 empty(sk0_18)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f153])).
% 0.15/0.36 fof(f167,plain,(
% 0.15/0.36 ![A]: (~ordinal(A)|(epsilon_transitive(A)&epsilon_connected(A)))),
% 0.15/0.36 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 0.15/0.36 fof(f168,plain,(
% 0.15/0.36 ![X0]: (~ordinal(X0)|epsilon_transitive(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f167])).
% 0.15/0.36 fof(f169,plain,(
% 0.15/0.36 ![X0]: (~ordinal(X0)|epsilon_connected(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f167])).
% 0.15/0.36 fof(f175,plain,(
% 0.15/0.36 ![X0]: (~empty(powerset(X0)))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f41])).
% 0.15/0.36 fof(f177,plain,(
% 0.15/0.36 ![A,B]: ((~ordinal(A)|~element(B,powerset(powerset(succ(A)))))|((?[C,D,E]: ((((C=D&(?[F]: (in(F,B)&D=set_difference(F,singleton(A)))))&C=E)&(?[G]: (in(G,B)&E=set_difference(G,singleton(A)))))&~D=E))|(?[C]: ![D]: (in(D,C)<=>(?[E]: ((in(E,powerset(A))&E=D)&(?[H]: (in(H,B)&D=set_difference(H,singleton(A))))))))))),
% 0.15/0.36 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.15/0.36 fof(f178,plain,(
% 0.15/0.36 ![A,B,C,D,E]: (pd0_0(E,D,C,B,A)=>((((C=D&(?[F]: (in(F,B)&D=set_difference(F,singleton(A)))))&C=E)&(?[G]: (in(G,B)&E=set_difference(G,singleton(A)))))&~D=E))),
% 0.15/0.36 introduced(predicate_definition,[f177])).
% 0.15/0.36 fof(f179,plain,(
% 0.15/0.36 ![A,B]: ((~ordinal(A)|~element(B,powerset(powerset(succ(A)))))|((?[C,D,E]: pd0_0(E,D,C,B,A))|(?[C]: ![D]: (in(D,C)<=>(?[E]: ((in(E,powerset(A))&E=D)&(?[H]: (in(H,B)&D=set_difference(H,singleton(A))))))))))),
% 0.15/0.36 inference(formula_renaming,[status(thm)],[f177,f178])).
% 0.15/0.36 fof(f180,plain,(
% 0.15/0.36 ![A,B]: ((~ordinal(A)|~element(B,powerset(powerset(succ(A)))))|((?[C,D,E]: pd0_0(E,D,C,B,A))|(?[C]: ![D]: ((~in(D,C)|(?[E]: ((in(E,powerset(A))&E=D)&(?[H]: (in(H,B)&D=set_difference(H,singleton(A)))))))&(in(D,C)|(![E]: ((~in(E,powerset(A))|~E=D)|(![H]: (~in(H,B)|~D=set_difference(H,singleton(A)))))))))))),
% 0.15/0.36 inference(NNF_transformation,[status(esa)],[f179])).
% 0.15/0.36 fof(f181,plain,(
% 0.15/0.36 ![A,B]: ((~ordinal(A)|~element(B,powerset(powerset(succ(A)))))|((?[C,D,E]: pd0_0(E,D,C,B,A))|(?[C]: ((![D]: (~in(D,C)|((?[E]: (in(E,powerset(A))&E=D))&(?[H]: (in(H,B)&D=set_difference(H,singleton(A)))))))&(![D]: (in(D,C)|((![E]: (~in(E,powerset(A))|~E=D))|(![H]: (~in(H,B)|~D=set_difference(H,singleton(A)))))))))))),
% 0.15/0.36 inference(miniscoping,[status(esa)],[f180])).
% 0.15/0.36 fof(f182,plain,(
% 0.15/0.36 ![A,B]: ((~ordinal(A)|~element(B,powerset(powerset(succ(A)))))|(pd0_0(sk0_22(B,A),sk0_21(B,A),sk0_20(B,A),B,A)|((![D]: (~in(D,sk0_23(B,A))|((in(sk0_24(D,B,A),powerset(A))&sk0_24(D,B,A)=D)&(in(sk0_25(D,B,A),B)&D=set_difference(sk0_25(D,B,A),singleton(A))))))&(![D]: (in(D,sk0_23(B,A))|((![E]: (~in(E,powerset(A))|~E=D))|(![H]: (~in(H,B)|~D=set_difference(H,singleton(A))))))))))),
% 0.15/0.36 inference(skolemization,[status(esa)],[f181])).
% 0.15/0.36 fof(f183,plain,(
% 0.15/0.36 ![X0,X1,X2]: (~ordinal(X0)|~element(X1,powerset(powerset(succ(X0))))|pd0_0(sk0_22(X1,X0),sk0_21(X1,X0),sk0_20(X1,X0),X1,X0)|~in(X2,sk0_23(X1,X0))|in(sk0_24(X2,X1,X0),powerset(X0)))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f182])).
% 0.15/0.36 fof(f184,plain,(
% 0.15/0.36 ![X0,X1,X2]: (~ordinal(X0)|~element(X1,powerset(powerset(succ(X0))))|pd0_0(sk0_22(X1,X0),sk0_21(X1,X0),sk0_20(X1,X0),X1,X0)|~in(X2,sk0_23(X1,X0))|sk0_24(X2,X1,X0)=X2)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f182])).
% 0.15/0.36 fof(f185,plain,(
% 0.15/0.36 ![X0,X1,X2]: (~ordinal(X0)|~element(X1,powerset(powerset(succ(X0))))|pd0_0(sk0_22(X1,X0),sk0_21(X1,X0),sk0_20(X1,X0),X1,X0)|~in(X2,sk0_23(X1,X0))|in(sk0_25(X2,X1,X0),X1))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f182])).
% 0.15/0.36 fof(f186,plain,(
% 0.15/0.36 ![X0,X1,X2]: (~ordinal(X0)|~element(X1,powerset(powerset(succ(X0))))|pd0_0(sk0_22(X1,X0),sk0_21(X1,X0),sk0_20(X1,X0),X1,X0)|~in(X2,sk0_23(X1,X0))|X2=set_difference(sk0_25(X2,X1,X0),singleton(X0)))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f182])).
% 0.15/0.36 fof(f187,plain,(
% 0.15/0.36 ![X0,X1,X2,X3,X4]: (~ordinal(X0)|~element(X1,powerset(powerset(succ(X0))))|pd0_0(sk0_22(X1,X0),sk0_21(X1,X0),sk0_20(X1,X0),X1,X0)|in(X2,sk0_23(X1,X0))|~in(X3,powerset(X0))|~X3=X2|~in(X4,X1)|~X2=set_difference(X4,singleton(X0)))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f182])).
% 0.15/0.36 fof(f188,plain,(
% 0.15/0.36 ![A,B,C,D,E]: (~pd0_0(E,D,C,B,A)|((((C=D&(?[F]: (in(F,B)&D=set_difference(F,singleton(A)))))&C=E)&(?[G]: (in(G,B)&E=set_difference(G,singleton(A)))))&~D=E))),
% 0.15/0.36 inference(pre_NNF_transformation,[status(esa)],[f178])).
% 0.15/0.36 fof(f189,plain,(
% 0.15/0.36 ![A,B,C,D,E]: (~pd0_0(E,D,C,B,A)|((((C=D&(in(sk0_26(E,D,C,B,A),B)&D=set_difference(sk0_26(E,D,C,B,A),singleton(A))))&C=E)&(in(sk0_27(E,D,C,B,A),B)&E=set_difference(sk0_27(E,D,C,B,A),singleton(A))))&~D=E))),
% 0.15/0.36 inference(skolemization,[status(esa)],[f188])).
% 0.15/0.36 fof(f190,plain,(
% 0.15/0.36 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|X2=X1)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f189])).
% 0.15/0.36 fof(f193,plain,(
% 0.15/0.36 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|X2=X0)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f189])).
% 0.15/0.36 fof(f196,plain,(
% 0.15/0.36 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|~X1=X0)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f189])).
% 0.15/0.36 fof(f197,plain,(
% 0.15/0.36 ![X0,X1,X2]: (~ordinal(X0)|~element(X1,powerset(powerset(succ(X0))))|pd0_0(sk0_22(X1,X0),sk0_21(X1,X0),sk0_20(X1,X0),X1,X0)|in(set_difference(X2,singleton(X0)),sk0_23(X1,X0))|~in(set_difference(X2,singleton(X0)),powerset(X0))|~in(X2,X1))),
% 0.15/0.36 inference(destructive_equality_resolution,[status(esa)],[f187])).
% 0.15/0.36 fof(f198,plain,(
% 0.15/0.36 ![X0,X1,X2,X3]: (~pd0_0(X0,X0,X1,X2,X3))),
% 0.15/0.36 inference(destructive_equality_resolution,[status(esa)],[f196])).
% 0.15/0.36 fof(f242,plain,(
% 0.15/0.36 function(sk0_18)),
% 0.15/0.36 inference(resolution,[status(thm)],[f123,f154])).
% 0.15/0.36 fof(f243,plain,(
% 0.15/0.36 function(sk0_9)),
% 0.15/0.36 inference(resolution,[status(thm)],[f123,f88])).
% 0.15/0.36 fof(f248,plain,(
% 0.15/0.36 epsilon_transitive(sk0_18)),
% 0.15/0.36 inference(resolution,[status(thm)],[f138,f154])).
% 0.15/0.36 fof(f249,plain,(
% 0.15/0.36 epsilon_transitive(sk0_9)),
% 0.15/0.36 inference(resolution,[status(thm)],[f138,f88])).
% 0.15/0.36 fof(f250,plain,(
% 0.15/0.36 epsilon_transitive(sk0_8)),
% 0.15/0.36 inference(resolution,[status(thm)],[f138,f81])).
% 0.15/0.36 fof(f254,plain,(
% 0.15/0.36 epsilon_connected(sk0_18)),
% 0.15/0.36 inference(resolution,[status(thm)],[f139,f154])).
% 0.15/0.36 fof(f255,plain,(
% 0.15/0.36 epsilon_connected(sk0_9)),
% 0.15/0.36 inference(resolution,[status(thm)],[f139,f88])).
% 0.15/0.36 fof(f256,plain,(
% 0.15/0.36 epsilon_connected(sk0_8)),
% 0.15/0.36 inference(resolution,[status(thm)],[f139,f81])).
% 0.15/0.36 fof(f259,plain,(
% 0.15/0.36 ![X0]: (~empty(X0)|~function(X0)|one_to_one(X0))),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f86,f125])).
% 0.15/0.36 fof(f262,plain,(
% 0.15/0.36 spl0_4 <=> empty(sk0_9)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f264,plain,(
% 0.15/0.36 ~empty(sk0_9)|spl0_4),
% 0.15/0.36 inference(component_clause,[status(thm)],[f262])).
% 0.15/0.36 fof(f265,plain,(
% 0.15/0.36 spl0_5 <=> one_to_one(sk0_9)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f268,plain,(
% 0.15/0.36 ~empty(sk0_9)|one_to_one(sk0_9)),
% 0.15/0.36 inference(resolution,[status(thm)],[f259,f243])).
% 0.15/0.36 fof(f269,plain,(
% 0.15/0.36 ~spl0_4|spl0_5),
% 0.15/0.36 inference(split_clause,[status(thm)],[f268,f262,f265])).
% 0.15/0.36 fof(f270,plain,(
% 0.15/0.36 spl0_6 <=> empty(sk0_18)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f272,plain,(
% 0.15/0.36 ~empty(sk0_18)|spl0_6),
% 0.15/0.36 inference(component_clause,[status(thm)],[f270])).
% 0.15/0.36 fof(f273,plain,(
% 0.15/0.36 spl0_7 <=> one_to_one(sk0_18)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f276,plain,(
% 0.15/0.36 ~empty(sk0_18)|one_to_one(sk0_18)),
% 0.15/0.36 inference(resolution,[status(thm)],[f259,f242])).
% 0.15/0.36 fof(f277,plain,(
% 0.15/0.36 ~spl0_6|spl0_7),
% 0.15/0.36 inference(split_clause,[status(thm)],[f276,f270,f273])).
% 0.15/0.36 fof(f278,plain,(
% 0.15/0.36 spl0_8 <=> empty(sk0_8)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f280,plain,(
% 0.15/0.36 ~empty(sk0_8)|spl0_8),
% 0.15/0.36 inference(component_clause,[status(thm)],[f278])).
% 0.15/0.36 fof(f281,plain,(
% 0.15/0.36 spl0_9 <=> one_to_one(sk0_8)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f284,plain,(
% 0.15/0.36 ~empty(sk0_8)|one_to_one(sk0_8)),
% 0.15/0.36 inference(resolution,[status(thm)],[f259,f82])).
% 0.15/0.36 fof(f285,plain,(
% 0.15/0.36 ~spl0_8|spl0_9),
% 0.15/0.36 inference(split_clause,[status(thm)],[f284,f278,f281])).
% 0.15/0.36 fof(f294,plain,(
% 0.15/0.36 spl0_12 <=> empty(sk0_6)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f296,plain,(
% 0.15/0.36 ~empty(sk0_6)|spl0_12),
% 0.15/0.36 inference(component_clause,[status(thm)],[f294])).
% 0.15/0.36 fof(f297,plain,(
% 0.15/0.36 spl0_13 <=> one_to_one(sk0_6)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f300,plain,(
% 0.15/0.36 ~empty(sk0_6)|one_to_one(sk0_6)),
% 0.15/0.36 inference(resolution,[status(thm)],[f259,f70])).
% 0.15/0.36 fof(f301,plain,(
% 0.15/0.36 ~spl0_12|spl0_13),
% 0.15/0.36 inference(split_clause,[status(thm)],[f300,f294,f297])).
% 0.15/0.36 fof(f311,plain,(
% 0.15/0.36 $false|spl0_12),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f296,f72])).
% 0.15/0.36 fof(f312,plain,(
% 0.15/0.36 spl0_12),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f311])).
% 0.15/0.36 fof(f313,plain,(
% 0.15/0.36 $false|spl0_8),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f280,f81])).
% 0.15/0.36 fof(f314,plain,(
% 0.15/0.36 spl0_8),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f313])).
% 0.15/0.36 fof(f315,plain,(
% 0.15/0.36 $false|spl0_6),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f272,f154])).
% 0.15/0.36 fof(f316,plain,(
% 0.15/0.36 spl0_6),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f315])).
% 0.15/0.36 fof(f317,plain,(
% 0.15/0.36 $false|spl0_4),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f264,f88])).
% 0.15/0.36 fof(f318,plain,(
% 0.15/0.36 spl0_4),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f317])).
% 0.15/0.36 fof(f330,plain,(
% 0.15/0.36 epsilon_transitive(sk0_0)),
% 0.15/0.36 inference(resolution,[status(thm)],[f168,f47])).
% 0.15/0.36 fof(f341,plain,(
% 0.15/0.36 epsilon_connected(sk0_0)),
% 0.15/0.36 inference(resolution,[status(thm)],[f169,f47])).
% 0.15/0.36 fof(f349,plain,(
% 0.15/0.36 spl0_16 <=> epsilon_transitive(sk0_0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f351,plain,(
% 0.15/0.36 ~epsilon_transitive(sk0_0)|spl0_16),
% 0.15/0.36 inference(component_clause,[status(thm)],[f349])).
% 0.15/0.36 fof(f352,plain,(
% 0.15/0.36 spl0_17 <=> ordinal(sk0_0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f355,plain,(
% 0.15/0.36 ~epsilon_transitive(sk0_0)|ordinal(sk0_0)),
% 0.15/0.36 inference(resolution,[status(thm)],[f132,f341])).
% 0.15/0.36 fof(f356,plain,(
% 0.15/0.36 ~spl0_16|spl0_17),
% 0.15/0.36 inference(split_clause,[status(thm)],[f355,f349,f352])).
% 0.15/0.36 fof(f358,plain,(
% 0.15/0.36 spl0_18 <=> epsilon_transitive(sk0_8)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f360,plain,(
% 0.15/0.36 ~epsilon_transitive(sk0_8)|spl0_18),
% 0.15/0.36 inference(component_clause,[status(thm)],[f358])).
% 0.15/0.36 fof(f361,plain,(
% 0.15/0.36 spl0_19 <=> ordinal(sk0_8)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f364,plain,(
% 0.15/0.36 ~epsilon_transitive(sk0_8)|ordinal(sk0_8)),
% 0.15/0.36 inference(resolution,[status(thm)],[f132,f256])).
% 0.15/0.36 fof(f365,plain,(
% 0.15/0.36 ~spl0_18|spl0_19),
% 0.15/0.36 inference(split_clause,[status(thm)],[f364,f358,f361])).
% 0.15/0.36 fof(f366,plain,(
% 0.15/0.36 spl0_20 <=> epsilon_transitive(sk0_9)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f368,plain,(
% 0.15/0.36 ~epsilon_transitive(sk0_9)|spl0_20),
% 0.15/0.36 inference(component_clause,[status(thm)],[f366])).
% 0.15/0.36 fof(f369,plain,(
% 0.15/0.36 spl0_21 <=> ordinal(sk0_9)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f372,plain,(
% 0.15/0.36 ~epsilon_transitive(sk0_9)|ordinal(sk0_9)),
% 0.15/0.36 inference(resolution,[status(thm)],[f132,f255])).
% 0.15/0.36 fof(f373,plain,(
% 0.15/0.36 ~spl0_20|spl0_21),
% 0.15/0.36 inference(split_clause,[status(thm)],[f372,f366,f369])).
% 0.15/0.36 fof(f374,plain,(
% 0.15/0.36 spl0_22 <=> epsilon_transitive(sk0_18)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f376,plain,(
% 0.15/0.36 ~epsilon_transitive(sk0_18)|spl0_22),
% 0.15/0.36 inference(component_clause,[status(thm)],[f374])).
% 0.15/0.36 fof(f377,plain,(
% 0.15/0.36 spl0_23 <=> ordinal(sk0_18)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f380,plain,(
% 0.15/0.36 ~epsilon_transitive(sk0_18)|ordinal(sk0_18)),
% 0.15/0.36 inference(resolution,[status(thm)],[f132,f254])).
% 0.15/0.36 fof(f381,plain,(
% 0.15/0.36 ~spl0_22|spl0_23),
% 0.15/0.36 inference(split_clause,[status(thm)],[f380,f374,f377])).
% 0.15/0.36 fof(f383,plain,(
% 0.15/0.36 spl0_24 <=> epsilon_transitive(sk0_15)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f385,plain,(
% 0.15/0.36 ~epsilon_transitive(sk0_15)|spl0_24),
% 0.15/0.36 inference(component_clause,[status(thm)],[f383])).
% 0.15/0.36 fof(f386,plain,(
% 0.15/0.36 spl0_25 <=> ordinal(sk0_15)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f389,plain,(
% 0.15/0.36 ~epsilon_transitive(sk0_15)|ordinal(sk0_15)),
% 0.15/0.36 inference(resolution,[status(thm)],[f132,f144])).
% 0.15/0.36 fof(f390,plain,(
% 0.15/0.36 ~spl0_24|spl0_25),
% 0.15/0.36 inference(split_clause,[status(thm)],[f389,f383,f386])).
% 0.15/0.36 fof(f391,plain,(
% 0.15/0.36 spl0_26 <=> epsilon_transitive(sk0_14)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f393,plain,(
% 0.15/0.36 ~epsilon_transitive(sk0_14)|spl0_26),
% 0.15/0.36 inference(component_clause,[status(thm)],[f391])).
% 0.15/0.36 fof(f394,plain,(
% 0.15/0.36 spl0_27 <=> ordinal(sk0_14)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f397,plain,(
% 0.15/0.36 ~epsilon_transitive(sk0_14)|ordinal(sk0_14)),
% 0.15/0.36 inference(resolution,[status(thm)],[f132,f135])).
% 0.15/0.36 fof(f398,plain,(
% 0.15/0.36 ~spl0_26|spl0_27),
% 0.15/0.36 inference(split_clause,[status(thm)],[f397,f391,f394])).
% 0.15/0.36 fof(f399,plain,(
% 0.15/0.36 spl0_28 <=> epsilon_transitive(sk0_11)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f401,plain,(
% 0.15/0.36 ~epsilon_transitive(sk0_11)|spl0_28),
% 0.15/0.36 inference(component_clause,[status(thm)],[f399])).
% 0.15/0.36 fof(f402,plain,(
% 0.15/0.36 spl0_29 <=> ordinal(sk0_11)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f405,plain,(
% 0.15/0.36 ~epsilon_transitive(sk0_11)|ordinal(sk0_11)),
% 0.15/0.36 inference(resolution,[status(thm)],[f132,f98])).
% 0.15/0.36 fof(f406,plain,(
% 0.15/0.36 ~spl0_28|spl0_29),
% 0.15/0.36 inference(split_clause,[status(thm)],[f405,f399,f402])).
% 0.15/0.36 fof(f408,plain,(
% 0.15/0.36 spl0_30 <=> epsilon_transitive(sk0_6)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f410,plain,(
% 0.15/0.36 ~epsilon_transitive(sk0_6)|spl0_30),
% 0.15/0.36 inference(component_clause,[status(thm)],[f408])).
% 0.15/0.36 fof(f411,plain,(
% 0.15/0.36 spl0_31 <=> ordinal(sk0_6)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f414,plain,(
% 0.15/0.36 ~epsilon_transitive(sk0_6)|ordinal(sk0_6)),
% 0.15/0.36 inference(resolution,[status(thm)],[f132,f74])).
% 0.15/0.36 fof(f415,plain,(
% 0.15/0.36 ~spl0_30|spl0_31),
% 0.15/0.36 inference(split_clause,[status(thm)],[f414,f408,f411])).
% 0.15/0.36 fof(f416,plain,(
% 0.15/0.36 $false|spl0_30),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f410,f73])).
% 0.15/0.36 fof(f417,plain,(
% 0.15/0.36 spl0_30),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f416])).
% 0.15/0.36 fof(f418,plain,(
% 0.15/0.36 $false|spl0_28),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f401,f97])).
% 0.15/0.36 fof(f419,plain,(
% 0.15/0.36 spl0_28),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f418])).
% 0.15/0.36 fof(f420,plain,(
% 0.15/0.36 $false|spl0_26),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f393,f134])).
% 0.15/0.36 fof(f421,plain,(
% 0.15/0.36 spl0_26),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f420])).
% 0.15/0.36 fof(f422,plain,(
% 0.15/0.36 $false|spl0_24),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f385,f143])).
% 0.15/0.36 fof(f423,plain,(
% 0.15/0.36 spl0_24),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f422])).
% 0.15/0.36 fof(f424,plain,(
% 0.15/0.36 $false|spl0_22),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f376,f248])).
% 0.15/0.36 fof(f425,plain,(
% 0.15/0.36 spl0_22),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f424])).
% 0.15/0.36 fof(f426,plain,(
% 0.15/0.36 $false|spl0_20),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f368,f249])).
% 0.15/0.36 fof(f427,plain,(
% 0.15/0.36 spl0_20),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f426])).
% 0.15/0.36 fof(f428,plain,(
% 0.15/0.36 $false|spl0_18),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f360,f250])).
% 0.15/0.36 fof(f429,plain,(
% 0.15/0.36 spl0_18),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f428])).
% 0.15/0.36 fof(f430,plain,(
% 0.15/0.36 $false|spl0_16),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f351,f330])).
% 0.15/0.36 fof(f431,plain,(
% 0.15/0.36 spl0_16),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f430])).
% 0.15/0.36 fof(f471,plain,(
% 0.15/0.36 ![X0,X1,X2]: (~ordinal(X0)|~element(X1,powerset(powerset(succ(X0))))|~in(X2,sk0_23(X1,X0))|sk0_24(X2,X1,X0)=X2|sk0_20(X1,X0)=sk0_22(X1,X0))),
% 0.15/0.36 inference(resolution,[status(thm)],[f184,f193])).
% 0.15/0.36 fof(f479,plain,(
% 0.15/0.36 spl0_36 <=> ~in(X0,sk0_23(sk0_1,sk0_0))|sk0_24(X0,sk0_1,sk0_0)=X0),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f480,plain,(
% 0.15/0.36 ![X0]: (~in(X0,sk0_23(sk0_1,sk0_0))|sk0_24(X0,sk0_1,sk0_0)=X0|~spl0_36)),
% 0.15/0.36 inference(component_clause,[status(thm)],[f479])).
% 0.15/0.36 fof(f482,plain,(
% 0.15/0.36 spl0_37 <=> sk0_20(sk0_1,sk0_0)=sk0_22(sk0_1,sk0_0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f483,plain,(
% 0.15/0.36 sk0_20(sk0_1,sk0_0)=sk0_22(sk0_1,sk0_0)|~spl0_37),
% 0.15/0.36 inference(component_clause,[status(thm)],[f482])).
% 0.15/0.36 fof(f485,plain,(
% 0.15/0.36 ![X0]: (~ordinal(sk0_0)|~in(X0,sk0_23(sk0_1,sk0_0))|sk0_24(X0,sk0_1,sk0_0)=X0|sk0_20(sk0_1,sk0_0)=sk0_22(sk0_1,sk0_0))),
% 0.15/0.36 inference(resolution,[status(thm)],[f471,f48])).
% 0.15/0.36 fof(f486,plain,(
% 0.15/0.36 ~spl0_17|spl0_36|spl0_37),
% 0.15/0.36 inference(split_clause,[status(thm)],[f485,f352,f479,f482])).
% 0.15/0.36 fof(f500,plain,(
% 0.15/0.36 spl0_41 <=> element(sk0_1,powerset(powerset(succ(sk0_0))))),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f502,plain,(
% 0.15/0.36 ~element(sk0_1,powerset(powerset(succ(sk0_0))))|spl0_41),
% 0.15/0.36 inference(component_clause,[status(thm)],[f500])).
% 0.15/0.36 fof(f503,plain,(
% 0.15/0.36 spl0_42 <=> pd0_0(sk0_20(sk0_1,sk0_0),sk0_21(sk0_1,sk0_0),sk0_20(sk0_1,sk0_0),sk0_1,sk0_0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f504,plain,(
% 0.15/0.36 pd0_0(sk0_20(sk0_1,sk0_0),sk0_21(sk0_1,sk0_0),sk0_20(sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_42),
% 0.15/0.36 inference(component_clause,[status(thm)],[f503])).
% 0.15/0.36 fof(f506,plain,(
% 0.15/0.36 ![X0]: (~ordinal(sk0_0)|~element(sk0_1,powerset(powerset(succ(sk0_0))))|pd0_0(sk0_20(sk0_1,sk0_0),sk0_21(sk0_1,sk0_0),sk0_20(sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_23(sk0_1,sk0_0))|sk0_24(X0,sk0_1,sk0_0)=X0|~spl0_37)),
% 0.15/0.36 inference(paramodulation,[status(thm)],[f483,f184])).
% 0.15/0.36 fof(f507,plain,(
% 0.15/0.36 ~spl0_17|~spl0_41|spl0_42|spl0_36|~spl0_37),
% 0.15/0.36 inference(split_clause,[status(thm)],[f506,f352,f500,f503,f479,f482])).
% 0.15/0.36 fof(f508,plain,(
% 0.15/0.36 $false|spl0_41),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f502,f48])).
% 0.15/0.36 fof(f509,plain,(
% 0.15/0.36 spl0_41),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f508])).
% 0.15/0.36 fof(f520,plain,(
% 0.15/0.36 spl0_43 <=> sk0_20(sk0_1,sk0_0)=sk0_21(sk0_1,sk0_0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f521,plain,(
% 0.15/0.36 sk0_20(sk0_1,sk0_0)=sk0_21(sk0_1,sk0_0)|~spl0_43),
% 0.15/0.36 inference(component_clause,[status(thm)],[f520])).
% 0.15/0.36 fof(f525,plain,(
% 0.15/0.36 ![X0,X1,X2]: (~ordinal(X0)|~element(X1,powerset(powerset(succ(X0))))|~in(X2,sk0_23(X1,X0))|in(sk0_24(X2,X1,X0),powerset(X0))|sk0_20(X1,X0)=sk0_22(X1,X0))),
% 0.15/0.36 inference(resolution,[status(thm)],[f183,f193])).
% 0.15/0.36 fof(f526,plain,(
% 0.15/0.36 ![X0,X1,X2]: (~ordinal(X0)|~element(X1,powerset(powerset(succ(X0))))|~in(X2,sk0_23(X1,X0))|in(sk0_24(X2,X1,X0),powerset(X0))|sk0_20(X1,X0)=sk0_21(X1,X0))),
% 0.15/0.36 inference(resolution,[status(thm)],[f183,f190])).
% 0.15/0.36 fof(f527,plain,(
% 0.15/0.36 ![X0,X1,X2]: (~ordinal(X0)|~element(X1,powerset(powerset(succ(X0))))|~in(X2,sk0_23(X1,X0))|in(sk0_25(X2,X1,X0),X1)|sk0_20(X1,X0)=sk0_22(X1,X0))),
% 0.15/0.36 inference(resolution,[status(thm)],[f185,f193])).
% 0.15/0.36 fof(f528,plain,(
% 0.15/0.36 ![X0,X1,X2]: (~ordinal(X0)|~element(X1,powerset(powerset(succ(X0))))|~in(X2,sk0_23(X1,X0))|in(sk0_25(X2,X1,X0),X1)|sk0_20(X1,X0)=sk0_21(X1,X0))),
% 0.15/0.36 inference(resolution,[status(thm)],[f185,f190])).
% 0.15/0.36 fof(f529,plain,(
% 0.15/0.36 ![X0,X1,X2]: (~ordinal(X0)|~element(X1,powerset(powerset(succ(X0))))|~in(X2,sk0_23(X1,X0))|X2=set_difference(sk0_25(X2,X1,X0),singleton(X0))|sk0_20(X1,X0)=sk0_22(X1,X0))),
% 0.15/0.36 inference(resolution,[status(thm)],[f186,f193])).
% 0.15/0.36 fof(f530,plain,(
% 0.15/0.36 ![X0,X1,X2]: (~ordinal(X0)|~element(X1,powerset(powerset(succ(X0))))|~in(X2,sk0_23(X1,X0))|X2=set_difference(sk0_25(X2,X1,X0),singleton(X0))|sk0_20(X1,X0)=sk0_21(X1,X0))),
% 0.15/0.36 inference(resolution,[status(thm)],[f186,f190])).
% 0.15/0.36 fof(f531,plain,(
% 0.15/0.36 ![X0,X1,X2]: (~ordinal(X0)|~element(X1,powerset(powerset(succ(X0))))|in(set_difference(X2,singleton(X0)),sk0_23(X1,X0))|~in(set_difference(X2,singleton(X0)),powerset(X0))|~in(X2,X1)|sk0_20(X1,X0)=sk0_22(X1,X0))),
% 0.15/0.36 inference(resolution,[status(thm)],[f197,f193])).
% 0.15/0.36 fof(f532,plain,(
% 0.15/0.36 ![X0,X1,X2]: (~ordinal(X0)|~element(X1,powerset(powerset(succ(X0))))|in(set_difference(X2,singleton(X0)),sk0_23(X1,X0))|~in(set_difference(X2,singleton(X0)),powerset(X0))|~in(X2,X1)|sk0_20(X1,X0)=sk0_21(X1,X0))),
% 0.15/0.36 inference(resolution,[status(thm)],[f197,f190])).
% 0.15/0.36 fof(f541,plain,(
% 0.15/0.36 spl0_44 <=> ~in(X0,sk0_23(sk0_1,sk0_0))|in(sk0_25(X0,sk0_1,sk0_0),sk0_1)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f542,plain,(
% 0.15/0.36 ![X0]: (~in(X0,sk0_23(sk0_1,sk0_0))|in(sk0_25(X0,sk0_1,sk0_0),sk0_1)|~spl0_44)),
% 0.15/0.36 inference(component_clause,[status(thm)],[f541])).
% 0.15/0.36 fof(f544,plain,(
% 0.15/0.36 ![X0]: (~ordinal(sk0_0)|~in(X0,sk0_23(sk0_1,sk0_0))|in(sk0_25(X0,sk0_1,sk0_0),sk0_1)|sk0_20(sk0_1,sk0_0)=sk0_22(sk0_1,sk0_0))),
% 0.15/0.36 inference(resolution,[status(thm)],[f527,f48])).
% 0.15/0.36 fof(f545,plain,(
% 0.15/0.36 ~spl0_17|spl0_44|spl0_37),
% 0.15/0.36 inference(split_clause,[status(thm)],[f544,f352,f541,f482])).
% 0.15/0.36 fof(f552,plain,(
% 0.15/0.36 ![X0]: (~ordinal(sk0_0)|~in(X0,sk0_23(sk0_1,sk0_0))|in(sk0_25(X0,sk0_1,sk0_0),sk0_1)|sk0_20(sk0_1,sk0_0)=sk0_21(sk0_1,sk0_0))),
% 0.15/0.36 inference(resolution,[status(thm)],[f528,f48])).
% 0.15/0.36 fof(f553,plain,(
% 0.15/0.36 ~spl0_17|spl0_44|spl0_43),
% 0.15/0.36 inference(split_clause,[status(thm)],[f552,f352,f541,f520])).
% 0.15/0.36 fof(f554,plain,(
% 0.15/0.36 spl0_45 <=> ~element(X0,powerset(powerset(succ(sk0_0))))|~in(sk0_2(X1),sk0_23(X0,sk0_0))|sk0_20(X0,sk0_0)=sk0_22(X0,sk0_0)|~in(sk0_2(X1),X1)|~in(sk0_2(X1),powerset(sk0_0))|~in(sk0_25(sk0_2(X1),X0,sk0_0),sk0_1)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f555,plain,(
% 0.15/0.36 ![X0,X1]: (~element(X0,powerset(powerset(succ(sk0_0))))|~in(sk0_2(X1),sk0_23(X0,sk0_0))|sk0_20(X0,sk0_0)=sk0_22(X0,sk0_0)|~in(sk0_2(X1),X1)|~in(sk0_2(X1),powerset(sk0_0))|~in(sk0_25(sk0_2(X1),X0,sk0_0),sk0_1)|~spl0_45)),
% 0.15/0.36 inference(component_clause,[status(thm)],[f554])).
% 0.15/0.36 fof(f557,plain,(
% 0.15/0.36 ![X0,X1]: (~ordinal(sk0_0)|~element(X0,powerset(powerset(succ(sk0_0))))|~in(sk0_2(X1),sk0_23(X0,sk0_0))|sk0_20(X0,sk0_0)=sk0_22(X0,sk0_0)|~in(sk0_2(X1),X1)|~in(sk0_2(X1),powerset(sk0_0))|~in(sk0_25(sk0_2(X1),X0,sk0_0),sk0_1))),
% 0.15/0.36 inference(resolution,[status(thm)],[f529,f52])).
% 0.15/0.36 fof(f558,plain,(
% 0.15/0.36 ~spl0_17|spl0_45),
% 0.15/0.36 inference(split_clause,[status(thm)],[f557,f352,f554])).
% 0.15/0.36 fof(f559,plain,(
% 0.15/0.36 spl0_46 <=> ~element(X0,powerset(powerset(succ(sk0_0))))|~in(sk0_2(X1),sk0_23(X0,sk0_0))|sk0_20(X0,sk0_0)=sk0_21(X0,sk0_0)|~in(sk0_2(X1),X1)|~in(sk0_2(X1),powerset(sk0_0))|~in(sk0_25(sk0_2(X1),X0,sk0_0),sk0_1)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f560,plain,(
% 0.15/0.36 ![X0,X1]: (~element(X0,powerset(powerset(succ(sk0_0))))|~in(sk0_2(X1),sk0_23(X0,sk0_0))|sk0_20(X0,sk0_0)=sk0_21(X0,sk0_0)|~in(sk0_2(X1),X1)|~in(sk0_2(X1),powerset(sk0_0))|~in(sk0_25(sk0_2(X1),X0,sk0_0),sk0_1)|~spl0_46)),
% 0.15/0.36 inference(component_clause,[status(thm)],[f559])).
% 0.15/0.36 fof(f562,plain,(
% 0.15/0.36 ![X0,X1]: (~ordinal(sk0_0)|~element(X0,powerset(powerset(succ(sk0_0))))|~in(sk0_2(X1),sk0_23(X0,sk0_0))|sk0_20(X0,sk0_0)=sk0_21(X0,sk0_0)|~in(sk0_2(X1),X1)|~in(sk0_2(X1),powerset(sk0_0))|~in(sk0_25(sk0_2(X1),X0,sk0_0),sk0_1))),
% 0.15/0.36 inference(resolution,[status(thm)],[f530,f52])).
% 0.15/0.36 fof(f563,plain,(
% 0.15/0.36 ~spl0_17|spl0_46),
% 0.15/0.36 inference(split_clause,[status(thm)],[f562,f352,f559])).
% 0.15/0.36 fof(f564,plain,(
% 0.15/0.36 spl0_47 <=> ~in(set_difference(X0,singleton(sk0_0)),powerset(sk0_0))|~in(X0,sk0_1)|sk0_24(set_difference(X0,singleton(sk0_0)),sk0_1,sk0_0)=set_difference(X0,singleton(sk0_0))),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f570,plain,(
% 0.15/0.36 spl0_48 <=> ~element(X0,powerset(powerset(succ(sk0_0))))|in(sk0_2(X1),sk0_23(X0,sk0_0))|~in(set_difference(sk0_3(X1),singleton(sk0_0)),powerset(sk0_0))|~in(sk0_3(X1),X0)|sk0_20(X0,sk0_0)=sk0_22(X0,sk0_0)|in(sk0_2(X1),X1)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f571,plain,(
% 0.15/0.36 ![X0,X1]: (~element(X0,powerset(powerset(succ(sk0_0))))|in(sk0_2(X1),sk0_23(X0,sk0_0))|~in(set_difference(sk0_3(X1),singleton(sk0_0)),powerset(sk0_0))|~in(sk0_3(X1),X0)|sk0_20(X0,sk0_0)=sk0_22(X0,sk0_0)|in(sk0_2(X1),X1)|~spl0_48)),
% 0.15/0.36 inference(component_clause,[status(thm)],[f570])).
% 0.15/0.36 fof(f573,plain,(
% 0.15/0.36 ![X0,X1]: (~ordinal(sk0_0)|~element(X0,powerset(powerset(succ(sk0_0))))|in(sk0_2(X1),sk0_23(X0,sk0_0))|~in(set_difference(sk0_3(X1),singleton(sk0_0)),powerset(sk0_0))|~in(sk0_3(X1),X0)|sk0_20(X0,sk0_0)=sk0_22(X0,sk0_0)|in(sk0_2(X1),X1))),
% 0.15/0.36 inference(paramodulation,[status(thm)],[f51,f531])).
% 0.15/0.36 fof(f574,plain,(
% 0.15/0.36 ~spl0_17|spl0_48),
% 0.15/0.36 inference(split_clause,[status(thm)],[f573,f352,f570])).
% 0.15/0.36 fof(f576,plain,(
% 0.15/0.36 spl0_49 <=> ~element(X0,powerset(powerset(succ(sk0_0))))|in(sk0_2(X1),sk0_23(X0,sk0_0))|~in(set_difference(sk0_3(X1),singleton(sk0_0)),powerset(sk0_0))|~in(sk0_3(X1),X0)|sk0_20(X0,sk0_0)=sk0_21(X0,sk0_0)|in(sk0_2(X1),X1)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f579,plain,(
% 0.15/0.36 ![X0,X1]: (~ordinal(sk0_0)|~element(X0,powerset(powerset(succ(sk0_0))))|in(sk0_2(X1),sk0_23(X0,sk0_0))|~in(set_difference(sk0_3(X1),singleton(sk0_0)),powerset(sk0_0))|~in(sk0_3(X1),X0)|sk0_20(X0,sk0_0)=sk0_21(X0,sk0_0)|in(sk0_2(X1),X1))),
% 0.15/0.36 inference(paramodulation,[status(thm)],[f51,f532])).
% 0.15/0.36 fof(f580,plain,(
% 0.15/0.36 ~spl0_17|spl0_49),
% 0.15/0.36 inference(split_clause,[status(thm)],[f579,f352,f576])).
% 0.15/0.36 fof(f584,plain,(
% 0.15/0.36 spl0_51 <=> in(set_difference(X0,singleton(sk0_0)),sk0_23(sk0_1,sk0_0))|~in(set_difference(X0,singleton(sk0_0)),powerset(sk0_0))|~in(X0,sk0_1)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f585,plain,(
% 0.15/0.36 ![X0]: (in(set_difference(X0,singleton(sk0_0)),sk0_23(sk0_1,sk0_0))|~in(set_difference(X0,singleton(sk0_0)),powerset(sk0_0))|~in(X0,sk0_1)|~spl0_51)),
% 0.15/0.36 inference(component_clause,[status(thm)],[f584])).
% 0.15/0.36 fof(f589,plain,(
% 0.15/0.36 spl0_52 <=> ~in(X0,sk0_23(sk0_1,sk0_0))|X0=set_difference(sk0_25(X0,sk0_1,sk0_0),singleton(sk0_0))),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f590,plain,(
% 0.15/0.36 ![X0]: (~in(X0,sk0_23(sk0_1,sk0_0))|X0=set_difference(sk0_25(X0,sk0_1,sk0_0),singleton(sk0_0))|~spl0_52)),
% 0.15/0.36 inference(component_clause,[status(thm)],[f589])).
% 0.15/0.36 fof(f596,plain,(
% 0.15/0.36 spl0_53 <=> ~in(X0,sk0_23(sk0_1,sk0_0))|in(sk0_24(X0,sk0_1,sk0_0),powerset(sk0_0))),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f597,plain,(
% 0.15/0.36 ![X0]: (~in(X0,sk0_23(sk0_1,sk0_0))|in(sk0_24(X0,sk0_1,sk0_0),powerset(sk0_0))|~spl0_53)),
% 0.15/0.36 inference(component_clause,[status(thm)],[f596])).
% 0.15/0.36 fof(f603,plain,(
% 0.15/0.36 ![X0]: (~ordinal(sk0_0)|~element(sk0_1,powerset(powerset(succ(sk0_0))))|pd0_0(sk0_20(sk0_1,sk0_0),sk0_21(sk0_1,sk0_0),sk0_20(sk0_1,sk0_0),sk0_1,sk0_0)|in(set_difference(X0,singleton(sk0_0)),sk0_23(sk0_1,sk0_0))|~in(set_difference(X0,singleton(sk0_0)),powerset(sk0_0))|~in(X0,sk0_1)|~spl0_37)),
% 0.15/0.36 inference(paramodulation,[status(thm)],[f483,f197])).
% 0.15/0.36 fof(f604,plain,(
% 0.15/0.36 ~spl0_17|~spl0_41|spl0_42|spl0_51|~spl0_37),
% 0.15/0.36 inference(split_clause,[status(thm)],[f603,f352,f500,f503,f584,f482])).
% 0.15/0.36 fof(f605,plain,(
% 0.15/0.36 ![X0]: (~ordinal(sk0_0)|~element(sk0_1,powerset(powerset(succ(sk0_0))))|pd0_0(sk0_20(sk0_1,sk0_0),sk0_21(sk0_1,sk0_0),sk0_20(sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_23(sk0_1,sk0_0))|X0=set_difference(sk0_25(X0,sk0_1,sk0_0),singleton(sk0_0))|~spl0_37)),
% 0.15/0.36 inference(paramodulation,[status(thm)],[f483,f186])).
% 0.15/0.36 fof(f606,plain,(
% 0.15/0.36 ~spl0_17|~spl0_41|spl0_42|spl0_52|~spl0_37),
% 0.15/0.36 inference(split_clause,[status(thm)],[f605,f352,f500,f503,f589,f482])).
% 0.15/0.36 fof(f607,plain,(
% 0.15/0.36 ![X0]: (~ordinal(sk0_0)|~element(sk0_1,powerset(powerset(succ(sk0_0))))|pd0_0(sk0_20(sk0_1,sk0_0),sk0_21(sk0_1,sk0_0),sk0_20(sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_23(sk0_1,sk0_0))|in(sk0_25(X0,sk0_1,sk0_0),sk0_1)|~spl0_37)),
% 0.15/0.36 inference(paramodulation,[status(thm)],[f483,f185])).
% 0.15/0.36 fof(f608,plain,(
% 0.15/0.36 ~spl0_17|~spl0_41|spl0_42|spl0_44|~spl0_37),
% 0.15/0.36 inference(split_clause,[status(thm)],[f607,f352,f500,f503,f541,f482])).
% 0.15/0.36 fof(f609,plain,(
% 0.15/0.36 ![X0]: (~ordinal(sk0_0)|~element(sk0_1,powerset(powerset(succ(sk0_0))))|pd0_0(sk0_20(sk0_1,sk0_0),sk0_21(sk0_1,sk0_0),sk0_20(sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_23(sk0_1,sk0_0))|in(sk0_24(X0,sk0_1,sk0_0),powerset(sk0_0))|~spl0_37)),
% 0.15/0.36 inference(paramodulation,[status(thm)],[f483,f183])).
% 0.15/0.36 fof(f610,plain,(
% 0.15/0.36 ~spl0_17|~spl0_41|spl0_42|spl0_53|~spl0_37),
% 0.15/0.36 inference(split_clause,[status(thm)],[f609,f352,f500,f503,f596,f482])).
% 0.15/0.36 fof(f613,plain,(
% 0.15/0.36 pd0_0(sk0_20(sk0_1,sk0_0),sk0_20(sk0_1,sk0_0),sk0_20(sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_43|~spl0_42),
% 0.15/0.36 inference(forward_demodulation,[status(thm)],[f521,f504])).
% 0.15/0.36 fof(f614,plain,(
% 0.15/0.36 $false|~spl0_43|~spl0_42),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f613,f198])).
% 0.15/0.36 fof(f615,plain,(
% 0.15/0.36 ~spl0_43|~spl0_42),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f614])).
% 0.15/0.36 fof(f616,plain,(
% 0.15/0.36 ![X0]: (sk0_24(set_difference(X0,singleton(sk0_0)),sk0_1,sk0_0)=set_difference(X0,singleton(sk0_0))|~ordinal(sk0_0)|~element(sk0_1,powerset(powerset(succ(sk0_0))))|~in(set_difference(X0,singleton(sk0_0)),powerset(sk0_0))|~in(X0,sk0_1)|sk0_20(sk0_1,sk0_0)=sk0_21(sk0_1,sk0_0)|~spl0_36)),
% 0.15/0.36 inference(resolution,[status(thm)],[f480,f532])).
% 0.15/0.36 fof(f617,plain,(
% 0.15/0.36 spl0_47|~spl0_17|~spl0_41|spl0_43|~spl0_36),
% 0.15/0.36 inference(split_clause,[status(thm)],[f616,f564,f352,f500,f520,f479])).
% 0.15/0.36 fof(f625,plain,(
% 0.15/0.36 spl0_54 <=> ~in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|~in(sk0_2(X0),X0)|~in(sk0_2(X0),powerset(sk0_0))|~in(sk0_2(X0),sk0_23(sk0_1,sk0_0))),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f626,plain,(
% 0.15/0.36 ![X0]: (~in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|~in(sk0_2(X0),X0)|~in(sk0_2(X0),powerset(sk0_0))|~in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|~spl0_54)),
% 0.15/0.36 inference(component_clause,[status(thm)],[f625])).
% 0.15/0.36 fof(f628,plain,(
% 0.15/0.36 ![X0]: (~element(sk0_1,powerset(powerset(succ(sk0_0))))|~in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|sk0_20(sk0_1,sk0_0)=sk0_22(sk0_1,sk0_0)|~in(sk0_2(X0),X0)|~in(sk0_2(X0),powerset(sk0_0))|~in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|~spl0_45|~spl0_44)),
% 0.15/0.36 inference(resolution,[status(thm)],[f555,f542])).
% 0.15/0.36 fof(f629,plain,(
% 0.15/0.36 ~spl0_41|spl0_54|spl0_37|~spl0_45|~spl0_44),
% 0.15/0.36 inference(split_clause,[status(thm)],[f628,f500,f625,f482,f554,f541])).
% 0.15/0.36 fof(f630,plain,(
% 0.15/0.36 sk0_20(sk0_1,sk0_0)=sk0_21(sk0_1,sk0_0)|~spl0_42),
% 0.15/0.36 inference(resolution,[status(thm)],[f504,f190])).
% 0.15/0.36 fof(f631,plain,(
% 0.15/0.36 spl0_43|~spl0_42),
% 0.15/0.36 inference(split_clause,[status(thm)],[f630,f520,f503])).
% 0.15/0.36 fof(f643,plain,(
% 0.15/0.36 ![X0]: (~in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|~in(sk0_2(X0),X0)|~in(sk0_2(X0),powerset(sk0_0))|~in(sk0_25(sk0_2(X0),sk0_1,sk0_0),sk0_1)|~spl0_52)),
% 0.15/0.36 inference(resolution,[status(thm)],[f590,f52])).
% 0.15/0.36 fof(f644,plain,(
% 0.15/0.36 ![X0]: (~in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|~in(sk0_2(X0),X0)|~in(sk0_2(X0),powerset(sk0_0))|~spl0_44|~spl0_52)),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f643,f542])).
% 0.15/0.36 fof(f646,plain,(
% 0.15/0.36 spl0_55 <=> in(sk0_2(sk0_23(sk0_1,sk0_0)),sk0_23(sk0_1,sk0_0))),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f647,plain,(
% 0.15/0.36 in(sk0_2(sk0_23(sk0_1,sk0_0)),sk0_23(sk0_1,sk0_0))|~spl0_55),
% 0.15/0.36 inference(component_clause,[status(thm)],[f646])).
% 0.15/0.36 fof(f648,plain,(
% 0.15/0.36 ~in(sk0_2(sk0_23(sk0_1,sk0_0)),sk0_23(sk0_1,sk0_0))|spl0_55),
% 0.15/0.36 inference(component_clause,[status(thm)],[f646])).
% 0.15/0.36 fof(f649,plain,(
% 0.15/0.36 spl0_56 <=> in(sk0_2(sk0_23(sk0_1,sk0_0)),powerset(sk0_0))),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f651,plain,(
% 0.15/0.36 ~in(sk0_2(sk0_23(sk0_1,sk0_0)),powerset(sk0_0))|spl0_56),
% 0.15/0.36 inference(component_clause,[status(thm)],[f649])).
% 0.15/0.36 fof(f654,plain,(
% 0.15/0.36 in(sk0_2(sk0_23(sk0_1,sk0_0)),sk0_23(sk0_1,sk0_0))|spl0_56),
% 0.15/0.36 inference(resolution,[status(thm)],[f651,f49])).
% 0.15/0.36 fof(f657,plain,(
% 0.15/0.36 ![X0]: (~element(sk0_1,powerset(powerset(succ(sk0_0))))|~in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|sk0_20(sk0_1,sk0_0)=sk0_21(sk0_1,sk0_0)|~in(sk0_2(X0),X0)|~in(sk0_2(X0),powerset(sk0_0))|~in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|~spl0_46|~spl0_44)),
% 0.15/0.36 inference(resolution,[status(thm)],[f560,f542])).
% 0.15/0.36 fof(f658,plain,(
% 0.15/0.36 ~spl0_41|spl0_54|spl0_43|~spl0_46|~spl0_44),
% 0.15/0.36 inference(split_clause,[status(thm)],[f657,f500,f625,f520,f559,f541])).
% 0.15/0.36 fof(f659,plain,(
% 0.15/0.36 ![X0,X1]: (~element(X0,powerset(powerset(succ(sk0_0))))|in(sk0_2(X1),sk0_23(X0,sk0_0))|~in(sk0_2(X1),powerset(sk0_0))|~in(sk0_3(X1),X0)|sk0_20(X0,sk0_0)=sk0_22(X0,sk0_0)|in(sk0_2(X1),X1)|in(sk0_2(X1),X1)|~spl0_48)),
% 0.15/0.36 inference(paramodulation,[status(thm)],[f51,f571])).
% 0.15/0.36 fof(f660,plain,(
% 0.15/0.36 ![X0,X1]: (~element(X0,powerset(powerset(succ(sk0_0))))|in(sk0_2(X1),sk0_23(X0,sk0_0))|~in(sk0_2(X1),powerset(sk0_0))|~in(sk0_3(X1),X0)|sk0_20(X0,sk0_0)=sk0_22(X0,sk0_0)|in(sk0_2(X1),X1)|~spl0_48)),
% 0.15/0.36 inference(duplicate_literals_removal,[status(esa)],[f659])).
% 0.15/0.36 fof(f661,plain,(
% 0.15/0.36 ![X0,X1]: (~element(X0,powerset(powerset(succ(sk0_0))))|in(sk0_2(X1),sk0_23(X0,sk0_0))|~in(sk0_3(X1),X0)|sk0_20(X0,sk0_0)=sk0_22(X0,sk0_0)|in(sk0_2(X1),X1)|~spl0_48)),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f660,f49])).
% 0.15/0.36 fof(f664,plain,(
% 0.15/0.36 sk0_24(sk0_2(sk0_23(sk0_1,sk0_0)),sk0_1,sk0_0)=sk0_2(sk0_23(sk0_1,sk0_0))|spl0_56|~spl0_36),
% 0.15/0.36 inference(resolution,[status(thm)],[f654,f480])).
% 0.15/0.36 fof(f671,plain,(
% 0.15/0.36 ~in(sk0_2(sk0_23(sk0_1,sk0_0)),sk0_23(sk0_1,sk0_0))|in(sk0_2(sk0_23(sk0_1,sk0_0)),powerset(sk0_0))|~spl0_53|spl0_56|~spl0_36),
% 0.15/0.36 inference(paramodulation,[status(thm)],[f664,f597])).
% 0.15/0.36 fof(f672,plain,(
% 0.15/0.36 ~spl0_55|spl0_56|~spl0_53|~spl0_36),
% 0.15/0.36 inference(split_clause,[status(thm)],[f671,f646,f649,f596,f479])).
% 0.15/0.36 fof(f673,plain,(
% 0.15/0.36 ~ordinal(sk0_0)|~element(sk0_1,powerset(powerset(succ(sk0_0))))|~in(sk0_2(sk0_23(sk0_1,sk0_0)),sk0_23(sk0_1,sk0_0))|in(sk0_2(sk0_23(sk0_1,sk0_0)),powerset(sk0_0))|sk0_20(sk0_1,sk0_0)=sk0_21(sk0_1,sk0_0)|spl0_56|~spl0_36),
% 0.15/0.36 inference(paramodulation,[status(thm)],[f664,f526])).
% 0.15/0.36 fof(f674,plain,(
% 0.15/0.36 ~spl0_17|~spl0_41|~spl0_55|spl0_56|spl0_43|~spl0_36),
% 0.15/0.36 inference(split_clause,[status(thm)],[f673,f352,f500,f646,f649,f520,f479])).
% 0.15/0.36 fof(f675,plain,(
% 0.15/0.36 ~ordinal(sk0_0)|~element(sk0_1,powerset(powerset(succ(sk0_0))))|~in(sk0_2(sk0_23(sk0_1,sk0_0)),sk0_23(sk0_1,sk0_0))|in(sk0_2(sk0_23(sk0_1,sk0_0)),powerset(sk0_0))|sk0_20(sk0_1,sk0_0)=sk0_22(sk0_1,sk0_0)|spl0_56|~spl0_36),
% 0.15/0.36 inference(paramodulation,[status(thm)],[f664,f525])).
% 0.15/0.36 fof(f676,plain,(
% 0.15/0.36 ~spl0_17|~spl0_41|~spl0_55|spl0_56|spl0_37|~spl0_36),
% 0.15/0.36 inference(split_clause,[status(thm)],[f675,f352,f500,f646,f649,f482,f479])).
% 0.15/0.36 fof(f681,plain,(
% 0.15/0.36 ![X0]: (in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|~in(set_difference(sk0_3(X0),singleton(sk0_0)),powerset(sk0_0))|~in(sk0_3(X0),sk0_1)|in(sk0_2(X0),X0)|~spl0_51)),
% 0.15/0.36 inference(paramodulation,[status(thm)],[f51,f585])).
% 0.15/0.36 fof(f682,plain,(
% 0.15/0.36 ![X0]: (in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|~in(set_difference(sk0_3(X0),singleton(sk0_0)),powerset(sk0_0))|in(sk0_2(X0),X0)|~spl0_51)),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f681,f50])).
% 0.15/0.36 fof(f683,plain,(
% 0.15/0.36 ![X0]: (in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|~in(sk0_2(X0),powerset(sk0_0))|in(sk0_2(X0),X0)|in(sk0_2(X0),X0)|~spl0_51)),
% 0.15/0.36 inference(paramodulation,[status(thm)],[f51,f682])).
% 0.15/0.36 fof(f684,plain,(
% 0.15/0.36 ![X0]: (in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|~in(sk0_2(X0),powerset(sk0_0))|in(sk0_2(X0),X0)|~spl0_51)),
% 0.15/0.36 inference(duplicate_literals_removal,[status(esa)],[f683])).
% 0.15/0.36 fof(f685,plain,(
% 0.15/0.36 ![X0]: (in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|in(sk0_2(X0),X0)|~spl0_51)),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f684,f49])).
% 0.15/0.36 fof(f686,plain,(
% 0.15/0.36 in(sk0_2(sk0_23(sk0_1,sk0_0)),sk0_23(sk0_1,sk0_0))|~spl0_51|spl0_55),
% 0.15/0.36 inference(resolution,[status(thm)],[f685,f648])).
% 0.15/0.36 fof(f687,plain,(
% 0.15/0.36 $false|~spl0_51|spl0_55),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f686,f648])).
% 0.15/0.36 fof(f688,plain,(
% 0.15/0.36 ~spl0_51|spl0_55),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f687])).
% 0.15/0.36 fof(f692,plain,(
% 0.15/0.36 ~in(sk0_2(sk0_23(sk0_1,sk0_0)),sk0_23(sk0_1,sk0_0))|~in(sk0_2(sk0_23(sk0_1,sk0_0)),powerset(sk0_0))|~spl0_55|~spl0_44|~spl0_52),
% 0.15/0.36 inference(resolution,[status(thm)],[f647,f644])).
% 0.15/0.36 fof(f693,plain,(
% 0.15/0.36 ~spl0_55|~spl0_56|~spl0_44|~spl0_52),
% 0.15/0.36 inference(split_clause,[status(thm)],[f692,f646,f649,f541,f589])).
% 0.15/0.36 fof(f696,plain,(
% 0.15/0.36 ![X0]: (~in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|~in(sk0_2(X0),X0)|~in(sk0_2(X0),powerset(sk0_0))|~spl0_54)),
% 0.15/0.36 inference(duplicate_literals_removal,[status(esa)],[f626])).
% 0.15/0.36 fof(f722,plain,(
% 0.15/0.36 ~in(sk0_2(sk0_23(sk0_1,sk0_0)),sk0_23(sk0_1,sk0_0))|~in(sk0_2(sk0_23(sk0_1,sk0_0)),powerset(sk0_0))|~spl0_54|~spl0_55),
% 0.15/0.36 inference(resolution,[status(thm)],[f696,f647])).
% 0.15/0.36 fof(f723,plain,(
% 0.15/0.36 ~spl0_55|~spl0_56|~spl0_54),
% 0.15/0.36 inference(split_clause,[status(thm)],[f722,f646,f649,f625])).
% 0.15/0.36 fof(f730,plain,(
% 0.15/0.36 spl0_60 <=> in(sk0_2(X0),sk0_23(sk0_16(powerset(succ(sk0_0))),sk0_0))|~in(sk0_3(X0),sk0_16(powerset(succ(sk0_0))))|in(sk0_2(X0),X0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f733,plain,(
% 0.15/0.36 spl0_61 <=> sk0_20(sk0_16(powerset(succ(sk0_0))),sk0_0)=sk0_22(sk0_16(powerset(succ(sk0_0))),sk0_0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f736,plain,(
% 0.15/0.36 spl0_62 <=> empty(powerset(succ(sk0_0)))),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f737,plain,(
% 0.15/0.36 empty(powerset(succ(sk0_0)))|~spl0_62),
% 0.15/0.36 inference(component_clause,[status(thm)],[f736])).
% 0.15/0.36 fof(f739,plain,(
% 0.15/0.36 ![X0]: (in(sk0_2(X0),sk0_23(sk0_16(powerset(succ(sk0_0))),sk0_0))|~in(sk0_3(X0),sk0_16(powerset(succ(sk0_0))))|sk0_20(sk0_16(powerset(succ(sk0_0))),sk0_0)=sk0_22(sk0_16(powerset(succ(sk0_0))),sk0_0)|in(sk0_2(X0),X0)|empty(powerset(succ(sk0_0)))|~spl0_48)),
% 0.15/0.36 inference(resolution,[status(thm)],[f661,f148])).
% 0.15/0.36 fof(f740,plain,(
% 0.15/0.36 spl0_60|spl0_61|spl0_62|~spl0_48),
% 0.15/0.36 inference(split_clause,[status(thm)],[f739,f730,f733,f736,f570])).
% 0.15/0.36 fof(f741,plain,(
% 0.15/0.36 spl0_63 <=> in(sk0_2(X0),sk0_23(sk0_13(powerset(succ(sk0_0))),sk0_0))|~in(sk0_3(X0),sk0_13(powerset(succ(sk0_0))))|in(sk0_2(X0),X0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f744,plain,(
% 0.15/0.36 spl0_64 <=> sk0_20(sk0_13(powerset(succ(sk0_0))),sk0_0)=sk0_22(sk0_13(powerset(succ(sk0_0))),sk0_0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f747,plain,(
% 0.15/0.36 ![X0]: (in(sk0_2(X0),sk0_23(sk0_13(powerset(succ(sk0_0))),sk0_0))|~in(sk0_3(X0),sk0_13(powerset(succ(sk0_0))))|sk0_20(sk0_13(powerset(succ(sk0_0))),sk0_0)=sk0_22(sk0_13(powerset(succ(sk0_0))),sk0_0)|in(sk0_2(X0),X0)|empty(powerset(succ(sk0_0)))|~spl0_48)),
% 0.15/0.36 inference(resolution,[status(thm)],[f661,f114])).
% 0.15/0.36 fof(f748,plain,(
% 0.15/0.36 spl0_63|spl0_64|spl0_62|~spl0_48),
% 0.15/0.36 inference(split_clause,[status(thm)],[f747,f741,f744,f736,f570])).
% 0.15/0.36 fof(f749,plain,(
% 0.15/0.36 spl0_65 <=> in(sk0_2(X0),sk0_23(sk0_17(powerset(succ(sk0_0))),sk0_0))|~in(sk0_3(X0),sk0_17(powerset(succ(sk0_0))))|in(sk0_2(X0),X0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f752,plain,(
% 0.15/0.36 spl0_66 <=> sk0_20(sk0_17(powerset(succ(sk0_0))),sk0_0)=sk0_22(sk0_17(powerset(succ(sk0_0))),sk0_0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f755,plain,(
% 0.15/0.36 ![X0]: (in(sk0_2(X0),sk0_23(sk0_17(powerset(succ(sk0_0))),sk0_0))|~in(sk0_3(X0),sk0_17(powerset(succ(sk0_0))))|sk0_20(sk0_17(powerset(succ(sk0_0))),sk0_0)=sk0_22(sk0_17(powerset(succ(sk0_0))),sk0_0)|in(sk0_2(X0),X0)|~spl0_48)),
% 0.15/0.36 inference(resolution,[status(thm)],[f661,f151])).
% 0.15/0.36 fof(f756,plain,(
% 0.15/0.36 spl0_65|spl0_66|~spl0_48),
% 0.15/0.36 inference(split_clause,[status(thm)],[f755,f749,f752,f570])).
% 0.15/0.36 fof(f757,plain,(
% 0.15/0.36 spl0_67 <=> in(sk0_2(X0),sk0_23(sk0_4(powerset(succ(sk0_0))),sk0_0))|~in(sk0_3(X0),sk0_4(powerset(succ(sk0_0))))|in(sk0_2(X0),X0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f760,plain,(
% 0.15/0.36 spl0_68 <=> sk0_20(sk0_4(powerset(succ(sk0_0))),sk0_0)=sk0_22(sk0_4(powerset(succ(sk0_0))),sk0_0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f763,plain,(
% 0.15/0.36 ![X0]: (in(sk0_2(X0),sk0_23(sk0_4(powerset(succ(sk0_0))),sk0_0))|~in(sk0_3(X0),sk0_4(powerset(succ(sk0_0))))|sk0_20(sk0_4(powerset(succ(sk0_0))),sk0_0)=sk0_22(sk0_4(powerset(succ(sk0_0))),sk0_0)|in(sk0_2(X0),X0)|~spl0_48)),
% 0.15/0.36 inference(resolution,[status(thm)],[f661,f54])).
% 0.15/0.36 fof(f764,plain,(
% 0.15/0.36 spl0_67|spl0_68|~spl0_48),
% 0.15/0.36 inference(split_clause,[status(thm)],[f763,f757,f760,f570])).
% 0.15/0.36 fof(f765,plain,(
% 0.15/0.36 spl0_69 <=> in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|~in(sk0_3(X0),sk0_1)|in(sk0_2(X0),X0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f766,plain,(
% 0.15/0.36 ![X0]: (in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|~in(sk0_3(X0),sk0_1)|in(sk0_2(X0),X0)|~spl0_69)),
% 0.15/0.36 inference(component_clause,[status(thm)],[f765])).
% 0.15/0.36 fof(f768,plain,(
% 0.15/0.36 ![X0]: (in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|~in(sk0_3(X0),sk0_1)|sk0_20(sk0_1,sk0_0)=sk0_22(sk0_1,sk0_0)|in(sk0_2(X0),X0)|~spl0_48)),
% 0.15/0.36 inference(resolution,[status(thm)],[f661,f48])).
% 0.15/0.36 fof(f769,plain,(
% 0.15/0.36 spl0_69|spl0_37|~spl0_48),
% 0.15/0.36 inference(split_clause,[status(thm)],[f768,f765,f482,f570])).
% 0.15/0.36 fof(f770,plain,(
% 0.15/0.36 $false|~spl0_62),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f737,f175])).
% 0.15/0.36 fof(f771,plain,(
% 0.15/0.36 ~spl0_62),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f770])).
% 0.15/0.36 fof(f772,plain,(
% 0.15/0.36 ![X0]: (in(sk0_2(X0),sk0_23(sk0_1,sk0_0))|in(sk0_2(X0),X0)|~spl0_69)),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f766,f50])).
% 0.15/0.36 fof(f773,plain,(
% 0.15/0.36 in(sk0_2(sk0_23(sk0_1,sk0_0)),sk0_23(sk0_1,sk0_0))|~spl0_69|spl0_55),
% 0.15/0.36 inference(resolution,[status(thm)],[f772,f648])).
% 0.15/0.36 fof(f774,plain,(
% 0.15/0.36 spl0_55|~spl0_69),
% 0.15/0.36 inference(split_clause,[status(thm)],[f773,f646,f765])).
% 0.15/0.36 fof(f777,plain,(
% 0.15/0.36 $false),
% 0.15/0.36 inference(sat_refutation,[status(thm)],[f269,f277,f285,f301,f312,f314,f316,f318,f356,f365,f373,f381,f390,f398,f406,f415,f417,f419,f421,f423,f425,f427,f429,f431,f486,f507,f509,f545,f553,f558,f563,f574,f580,f604,f606,f608,f610,f615,f617,f629,f631,f658,f672,f674,f676,f688,f693,f723,f740,f748,f756,f764,f769,f771,f774])).
% 0.15/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.37 % Elapsed time: 0.055744 seconds
% 0.15/0.37 % CPU time: 0.344190 seconds
% 0.15/0.37 % Total memory used: 60.288 MB
% 0.15/0.37 % Net memory used: 60.169 MB
%------------------------------------------------------------------------------