TSTP Solution File: NUM404+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM404+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:29:02 EDT 2023
% Result : Theorem 0.21s 0.48s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM404+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 30 10:02:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 0.21/0.48 % Refutation found
% 0.21/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.48 fof(f1,axiom,(
% 0.21/0.48 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f2,axiom,(
% 0.21/0.48 (! [A] :( empty(A)=> function(A) ) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f3,axiom,(
% 0.21/0.48 (! [A] :( ordinal(A)=> ( epsilon_transitive(A)& epsilon_connected(A) ) ) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f4,axiom,(
% 0.21/0.48 (! [A] :( empty(A)=> relation(A) ) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f5,axiom,(
% 0.21/0.48 (! [A] :( ( relation(A)& empty(A)& function(A) )=> ( relation(A)& function(A)& one_to_one(A) ) ) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f6,axiom,(
% 0.21/0.48 (! [A] :( ( epsilon_transitive(A)& epsilon_connected(A) )=> ordinal(A) ) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f7,axiom,(
% 0.21/0.48 (! [A] :( empty(A)=> ( epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) ) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f8,axiom,(
% 0.21/0.48 (! [A] :( epsilon_transitive(A)<=> (! [B] :( in(B,A)=> subset(B,A) ) )) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f9,axiom,(
% 0.21/0.48 (! [A] :( epsilon_connected(A)<=> (! [B,C] :~ ( in(B,A)& in(C,A)& ~ in(B,C)& B != C& ~ in(C,B) ) )) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f10,axiom,(
% 0.21/0.48 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f13,axiom,(
% 0.21/0.48 ( empty(empty_set)& relation(empty_set)& relation_empty_yielding(empty_set) ) ),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f15,axiom,(
% 0.21/0.48 ( relation(empty_set)& relation_empty_yielding(empty_set)& function(empty_set)& one_to_one(empty_set)& empty(empty_set)& epsilon_transitive(empty_set)& epsilon_connected(empty_set)& ordinal(empty_set) ) ),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f18,axiom,(
% 0.21/0.48 (? [A] :( epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f19,axiom,(
% 0.21/0.48 (? [A] :( empty(A)& relation(A) ) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f20,axiom,(
% 0.21/0.48 (? [A] : empty(A) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f21,axiom,(
% 0.21/0.48 (? [A] :( relation(A)& empty(A)& function(A) ) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f22,axiom,(
% 0.21/0.48 (? [A] :( relation(A)& function(A)& one_to_one(A)& empty(A)& epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f26,axiom,(
% 0.21/0.48 (? [A] :( ~ empty(A)& epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f32,axiom,(
% 0.21/0.48 (! [A,B] :( ordinal(B)=> ( in(A,B)=> ordinal(A) ) ) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f33,axiom,(
% 0.21/0.48 (! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> ~ ( ~ in(A,B)& A != B& ~ in(B,A) ) ) )) )),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f35,conjecture,(
% 0.21/0.48 (! [A] :~ (! [B] :( in(B,A)<=> ordinal(B) ) ))),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f36,negated_conjecture,(
% 0.21/0.48 ~((! [A] :~ (! [B] :( in(B,A)<=> ordinal(B) ) )))),
% 0.21/0.48 inference(negated_conjecture,[status(cth)],[f35])).
% 0.21/0.48 fof(f43,plain,(
% 0.21/0.48 ![A,B]: (~in(A,B)|~in(B,A))),
% 0.21/0.48 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.21/0.48 fof(f44,plain,(
% 0.21/0.48 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f43])).
% 0.21/0.48 fof(f45,plain,(
% 0.21/0.48 ![A]: (~empty(A)|function(A))),
% 0.21/0.48 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.21/0.48 fof(f46,plain,(
% 0.21/0.48 ![X0]: (~empty(X0)|function(X0))),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f45])).
% 0.21/0.48 fof(f47,plain,(
% 0.21/0.48 ![A]: (~ordinal(A)|(epsilon_transitive(A)&epsilon_connected(A)))),
% 0.21/0.48 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.21/0.49 fof(f48,plain,(
% 0.21/0.49 ![X0]: (~ordinal(X0)|epsilon_transitive(X0))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f47])).
% 0.21/0.49 fof(f49,plain,(
% 0.21/0.49 ![X0]: (~ordinal(X0)|epsilon_connected(X0))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f47])).
% 0.21/0.49 fof(f50,plain,(
% 0.21/0.49 ![A]: (~empty(A)|relation(A))),
% 0.21/0.49 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.21/0.49 fof(f51,plain,(
% 0.21/0.49 ![X0]: (~empty(X0)|relation(X0))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f50])).
% 0.21/0.49 fof(f52,plain,(
% 0.21/0.49 ![A]: (((~relation(A)|~empty(A))|~function(A))|((relation(A)&function(A))&one_to_one(A)))),
% 0.21/0.49 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.21/0.49 fof(f55,plain,(
% 0.21/0.49 ![X0]: (~relation(X0)|~empty(X0)|~function(X0)|one_to_one(X0))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f52])).
% 0.21/0.49 fof(f56,plain,(
% 0.21/0.49 ![A]: ((~epsilon_transitive(A)|~epsilon_connected(A))|ordinal(A))),
% 0.21/0.49 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.21/0.49 fof(f57,plain,(
% 0.21/0.49 ![X0]: (~epsilon_transitive(X0)|~epsilon_connected(X0)|ordinal(X0))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f56])).
% 0.21/0.49 fof(f58,plain,(
% 0.21/0.49 ![A]: (~empty(A)|((epsilon_transitive(A)&epsilon_connected(A))&ordinal(A)))),
% 0.21/0.49 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.21/0.49 fof(f59,plain,(
% 0.21/0.49 ![X0]: (~empty(X0)|epsilon_transitive(X0))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f58])).
% 0.21/0.49 fof(f61,plain,(
% 0.21/0.49 ![X0]: (~empty(X0)|ordinal(X0))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f58])).
% 0.21/0.49 fof(f62,plain,(
% 0.21/0.49 ![A]: (epsilon_transitive(A)<=>(![B]: (~in(B,A)|subset(B,A))))),
% 0.21/0.49 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.21/0.49 fof(f63,plain,(
% 0.21/0.49 ![A]: ((~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A))))&(epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 0.21/0.49 inference(NNF_transformation,[status(esa)],[f62])).
% 0.21/0.49 fof(f64,plain,(
% 0.21/0.49 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 0.21/0.49 inference(miniscoping,[status(esa)],[f63])).
% 0.21/0.49 fof(f65,plain,(
% 0.21/0.49 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(in(sk0_0(A),A)&~subset(sk0_0(A),A))))),
% 0.21/0.49 inference(skolemization,[status(esa)],[f64])).
% 0.21/0.49 fof(f67,plain,(
% 0.21/0.49 ![X0]: (epsilon_transitive(X0)|in(sk0_0(X0),X0))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f65])).
% 0.21/0.49 fof(f68,plain,(
% 0.21/0.49 ![X0]: (epsilon_transitive(X0)|~subset(sk0_0(X0),X0))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f65])).
% 0.21/0.49 fof(f69,plain,(
% 0.21/0.49 ![A]: (epsilon_connected(A)<=>(![B,C]: ((((~in(B,A)|~in(C,A))|in(B,C))|B=C)|in(C,B))))),
% 0.21/0.49 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.21/0.49 fof(f70,plain,(
% 0.21/0.49 ![A]: ((~epsilon_connected(A)|(![B,C]: ((((~in(B,A)|~in(C,A))|in(B,C))|B=C)|in(C,B))))&(epsilon_connected(A)|(?[B,C]: ((((in(B,A)&in(C,A))&~in(B,C))&~B=C)&~in(C,B)))))),
% 0.21/0.49 inference(NNF_transformation,[status(esa)],[f69])).
% 0.21/0.49 fof(f71,plain,(
% 0.21/0.49 (![A]: (~epsilon_connected(A)|(![B,C]: ((((~in(B,A)|~in(C,A))|in(B,C))|B=C)|in(C,B)))))&(![A]: (epsilon_connected(A)|(?[B,C]: ((((in(B,A)&in(C,A))&~in(B,C))&~B=C)&~in(C,B)))))),
% 0.21/0.49 inference(miniscoping,[status(esa)],[f70])).
% 0.21/0.49 fof(f72,plain,(
% 0.21/0.49 (![A]: (~epsilon_connected(A)|(![B,C]: ((((~in(B,A)|~in(C,A))|in(B,C))|B=C)|in(C,B)))))&(![A]: (epsilon_connected(A)|((((in(sk0_1(A),A)&in(sk0_2(A),A))&~in(sk0_1(A),sk0_2(A)))&~sk0_1(A)=sk0_2(A))&~in(sk0_2(A),sk0_1(A)))))),
% 0.21/0.49 inference(skolemization,[status(esa)],[f71])).
% 0.21/0.49 fof(f73,plain,(
% 0.21/0.49 ![X0,X1,X2]: (~epsilon_connected(X0)|~in(X1,X0)|~in(X2,X0)|in(X1,X2)|X1=X2|in(X2,X1))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f72])).
% 0.21/0.49 fof(f74,plain,(
% 0.21/0.49 ![X0]: (epsilon_connected(X0)|in(sk0_1(X0),X0))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f72])).
% 0.21/0.49 fof(f75,plain,(
% 0.21/0.49 ![X0]: (epsilon_connected(X0)|in(sk0_2(X0),X0))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f72])).
% 0.21/0.49 fof(f76,plain,(
% 0.21/0.49 ![X0]: (epsilon_connected(X0)|~in(sk0_1(X0),sk0_2(X0)))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f72])).
% 0.21/0.49 fof(f77,plain,(
% 0.21/0.49 ![X0]: (epsilon_connected(X0)|~sk0_1(X0)=sk0_2(X0))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f72])).
% 0.21/0.49 fof(f78,plain,(
% 0.21/0.49 ![X0]: (epsilon_connected(X0)|~in(sk0_2(X0),sk0_1(X0)))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f72])).
% 0.21/0.49 fof(f79,plain,(
% 0.21/0.49 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.21/0.49 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.21/0.49 fof(f80,plain,(
% 0.21/0.49 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.21/0.49 inference(NNF_transformation,[status(esa)],[f79])).
% 0.21/0.49 fof(f81,plain,(
% 0.21/0.49 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.21/0.49 inference(miniscoping,[status(esa)],[f80])).
% 0.21/0.49 fof(f82,plain,(
% 0.21/0.49 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sk0_3(B,A),A)&~in(sk0_3(B,A),B))))),
% 0.21/0.49 inference(skolemization,[status(esa)],[f81])).
% 0.21/0.49 fof(f84,plain,(
% 0.21/0.49 ![X0,X1]: (subset(X0,X1)|in(sk0_3(X1,X0),X0))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f82])).
% 0.21/0.49 fof(f85,plain,(
% 0.21/0.49 ![X0,X1]: (subset(X0,X1)|~in(sk0_3(X1,X0),X1))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f82])).
% 0.21/0.49 fof(f93,plain,(
% 0.21/0.49 empty(empty_set)),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f13])).
% 0.21/0.49 fof(f99,plain,(
% 0.21/0.49 function(empty_set)),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f15])).
% 0.21/0.49 fof(f102,plain,(
% 0.21/0.49 epsilon_transitive(empty_set)),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f15])).
% 0.21/0.49 fof(f103,plain,(
% 0.21/0.49 epsilon_connected(empty_set)),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f15])).
% 0.21/0.49 fof(f110,plain,(
% 0.21/0.49 ((epsilon_transitive(sk0_6)&epsilon_connected(sk0_6))&ordinal(sk0_6))),
% 0.21/0.49 inference(skolemization,[status(esa)],[f18])).
% 0.21/0.49 fof(f111,plain,(
% 0.21/0.49 epsilon_transitive(sk0_6)),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f110])).
% 0.21/0.49 fof(f112,plain,(
% 0.21/0.49 epsilon_connected(sk0_6)),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f110])).
% 0.21/0.49 fof(f114,plain,(
% 0.21/0.49 (empty(sk0_7)&relation(sk0_7))),
% 0.21/0.49 inference(skolemization,[status(esa)],[f19])).
% 0.21/0.49 fof(f115,plain,(
% 0.21/0.49 empty(sk0_7)),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f114])).
% 0.21/0.49 fof(f117,plain,(
% 0.21/0.49 empty(sk0_8)),
% 0.21/0.49 inference(skolemization,[status(esa)],[f20])).
% 0.21/0.49 fof(f118,plain,(
% 0.21/0.49 empty(sk0_8)),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f117])).
% 0.21/0.49 fof(f119,plain,(
% 0.21/0.49 ((relation(sk0_9)&empty(sk0_9))&function(sk0_9))),
% 0.21/0.49 inference(skolemization,[status(esa)],[f21])).
% 0.21/0.49 fof(f121,plain,(
% 0.21/0.49 empty(sk0_9)),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f119])).
% 0.21/0.49 fof(f122,plain,(
% 0.21/0.49 function(sk0_9)),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f119])).
% 0.21/0.49 fof(f123,plain,(
% 0.21/0.49 ((((((relation(sk0_10)&function(sk0_10))&one_to_one(sk0_10))&empty(sk0_10))&epsilon_transitive(sk0_10))&epsilon_connected(sk0_10))&ordinal(sk0_10))),
% 0.21/0.49 inference(skolemization,[status(esa)],[f22])).
% 0.21/0.49 fof(f125,plain,(
% 0.21/0.49 function(sk0_10)),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f123])).
% 0.21/0.49 fof(f127,plain,(
% 0.21/0.49 empty(sk0_10)),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f123])).
% 0.21/0.49 fof(f140,plain,(
% 0.21/0.49 (((~empty(sk0_14)&epsilon_transitive(sk0_14))&epsilon_connected(sk0_14))&ordinal(sk0_14))),
% 0.21/0.49 inference(skolemization,[status(esa)],[f26])).
% 0.21/0.49 fof(f142,plain,(
% 0.21/0.49 epsilon_transitive(sk0_14)),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f140])).
% 0.21/0.49 fof(f143,plain,(
% 0.21/0.49 epsilon_connected(sk0_14)),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f140])).
% 0.21/0.49 fof(f160,plain,(
% 0.21/0.49 ![A,B]: (~ordinal(B)|(~in(A,B)|ordinal(A)))),
% 0.21/0.49 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 0.21/0.49 fof(f161,plain,(
% 0.21/0.49 ![B]: (~ordinal(B)|(![A]: (~in(A,B)|ordinal(A))))),
% 0.21/0.49 inference(miniscoping,[status(esa)],[f160])).
% 0.21/0.49 fof(f162,plain,(
% 0.21/0.49 ![X0,X1]: (~ordinal(X0)|~in(X1,X0)|ordinal(X1))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f161])).
% 0.21/0.49 fof(f163,plain,(
% 0.21/0.49 ![A]: (~ordinal(A)|(![B]: (~ordinal(B)|((in(A,B)|A=B)|in(B,A)))))),
% 0.21/0.49 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 0.21/0.49 fof(f164,plain,(
% 0.21/0.49 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|in(X0,X1)|X0=X1|in(X1,X0))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f163])).
% 0.21/0.49 fof(f167,plain,(
% 0.21/0.49 (?[A]: ![B]: (in(B,A)<=>ordinal(B)))),
% 0.21/0.49 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.21/0.49 fof(f168,plain,(
% 0.21/0.49 ?[A]: ![B]: ((~in(B,A)|ordinal(B))&(in(B,A)|~ordinal(B)))),
% 0.21/0.49 inference(NNF_transformation,[status(esa)],[f167])).
% 0.21/0.49 fof(f169,plain,(
% 0.21/0.49 ?[A]: ((![B]: (~in(B,A)|ordinal(B)))&(![B]: (in(B,A)|~ordinal(B))))),
% 0.21/0.49 inference(miniscoping,[status(esa)],[f168])).
% 0.21/0.49 fof(f170,plain,(
% 0.21/0.49 ((![B]: (~in(B,sk0_18)|ordinal(B)))&(![B]: (in(B,sk0_18)|~ordinal(B))))),
% 0.21/0.49 inference(skolemization,[status(esa)],[f169])).
% 0.21/0.49 fof(f171,plain,(
% 0.21/0.49 ![X0]: (~in(X0,sk0_18)|ordinal(X0))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f170])).
% 0.21/0.49 fof(f172,plain,(
% 0.21/0.49 ![X0]: (in(X0,sk0_18)|~ordinal(X0))),
% 0.21/0.49 inference(cnf_transformation,[status(esa)],[f170])).
% 0.21/0.49 fof(f191,plain,(
% 0.21/0.49 ![X0]: (~in(sk0_18,X0)|~ordinal(X0))),
% 0.21/0.49 inference(resolution,[status(thm)],[f44,f172])).
% 0.21/0.49 fof(f192,plain,(
% 0.21/0.49 spl0_0 <=> ordinal(sk0_18)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f195,plain,(
% 0.21/0.49 ~ordinal(sk0_18)|~ordinal(sk0_18)),
% 0.21/0.49 inference(resolution,[status(thm)],[f191,f172])).
% 0.21/0.49 fof(f196,plain,(
% 0.21/0.49 ~spl0_0),
% 0.21/0.49 inference(split_clause,[status(thm)],[f195,f192])).
% 0.21/0.49 fof(f216,plain,(
% 0.21/0.49 function(sk0_7)),
% 0.21/0.49 inference(resolution,[status(thm)],[f115,f46])).
% 0.21/0.49 fof(f217,plain,(
% 0.21/0.49 ordinal(sk0_7)),
% 0.21/0.49 inference(resolution,[status(thm)],[f115,f61])).
% 0.21/0.49 fof(f218,plain,(
% 0.21/0.49 function(sk0_8)),
% 0.21/0.49 inference(resolution,[status(thm)],[f118,f46])).
% 0.21/0.49 fof(f219,plain,(
% 0.21/0.49 ordinal(sk0_8)),
% 0.21/0.49 inference(resolution,[status(thm)],[f118,f61])).
% 0.21/0.49 fof(f225,plain,(
% 0.21/0.49 ![X0]: (~empty(X0)|~function(X0)|one_to_one(X0))),
% 0.21/0.49 inference(forward_subsumption_resolution,[status(thm)],[f55,f51])).
% 0.21/0.49 fof(f234,plain,(
% 0.21/0.49 spl0_6 <=> empty(empty_set)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f236,plain,(
% 0.21/0.49 ~empty(empty_set)|spl0_6),
% 0.21/0.49 inference(component_clause,[status(thm)],[f234])).
% 0.21/0.49 fof(f237,plain,(
% 0.21/0.49 spl0_7 <=> one_to_one(empty_set)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f240,plain,(
% 0.21/0.49 ~empty(empty_set)|one_to_one(empty_set)),
% 0.21/0.49 inference(resolution,[status(thm)],[f225,f99])).
% 0.21/0.49 fof(f241,plain,(
% 0.21/0.49 ~spl0_6|spl0_7),
% 0.21/0.49 inference(split_clause,[status(thm)],[f240,f234,f237])).
% 0.21/0.49 fof(f242,plain,(
% 0.21/0.49 $false|spl0_6),
% 0.21/0.49 inference(forward_subsumption_resolution,[status(thm)],[f236,f93])).
% 0.21/0.49 fof(f243,plain,(
% 0.21/0.49 spl0_6),
% 0.21/0.49 inference(contradiction_clause,[status(thm)],[f242])).
% 0.21/0.49 fof(f244,plain,(
% 0.21/0.49 epsilon_connected(sk0_7)),
% 0.21/0.49 inference(resolution,[status(thm)],[f217,f49])).
% 0.21/0.49 fof(f245,plain,(
% 0.21/0.49 epsilon_transitive(sk0_7)),
% 0.21/0.49 inference(resolution,[status(thm)],[f217,f48])).
% 0.21/0.49 fof(f246,plain,(
% 0.21/0.49 epsilon_connected(sk0_8)),
% 0.21/0.49 inference(resolution,[status(thm)],[f219,f49])).
% 0.21/0.49 fof(f247,plain,(
% 0.21/0.49 epsilon_transitive(sk0_8)),
% 0.21/0.49 inference(resolution,[status(thm)],[f219,f48])).
% 0.21/0.49 fof(f250,plain,(
% 0.21/0.49 ordinal(sk0_9)),
% 0.21/0.49 inference(resolution,[status(thm)],[f121,f61])).
% 0.21/0.49 fof(f251,plain,(
% 0.21/0.49 epsilon_connected(sk0_9)),
% 0.21/0.49 inference(resolution,[status(thm)],[f250,f49])).
% 0.21/0.49 fof(f252,plain,(
% 0.21/0.49 epsilon_transitive(sk0_9)),
% 0.21/0.49 inference(resolution,[status(thm)],[f250,f48])).
% 0.21/0.49 fof(f253,plain,(
% 0.21/0.49 spl0_8 <=> empty(sk0_9)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f255,plain,(
% 0.21/0.49 ~empty(sk0_9)|spl0_8),
% 0.21/0.49 inference(component_clause,[status(thm)],[f253])).
% 0.21/0.49 fof(f256,plain,(
% 0.21/0.49 spl0_9 <=> one_to_one(sk0_9)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f259,plain,(
% 0.21/0.49 ~empty(sk0_9)|one_to_one(sk0_9)),
% 0.21/0.49 inference(resolution,[status(thm)],[f122,f225])).
% 0.21/0.49 fof(f260,plain,(
% 0.21/0.49 ~spl0_8|spl0_9),
% 0.21/0.49 inference(split_clause,[status(thm)],[f259,f253,f256])).
% 0.21/0.49 fof(f261,plain,(
% 0.21/0.49 $false|spl0_8),
% 0.21/0.49 inference(forward_subsumption_resolution,[status(thm)],[f255,f121])).
% 0.21/0.49 fof(f262,plain,(
% 0.21/0.49 spl0_8),
% 0.21/0.49 inference(contradiction_clause,[status(thm)],[f261])).
% 0.21/0.49 fof(f263,plain,(
% 0.21/0.49 spl0_10 <=> epsilon_transitive(sk0_9)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f265,plain,(
% 0.21/0.49 ~epsilon_transitive(sk0_9)|spl0_10),
% 0.21/0.49 inference(component_clause,[status(thm)],[f263])).
% 0.21/0.49 fof(f266,plain,(
% 0.21/0.49 spl0_11 <=> ordinal(sk0_9)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f269,plain,(
% 0.21/0.49 ~epsilon_transitive(sk0_9)|ordinal(sk0_9)),
% 0.21/0.49 inference(resolution,[status(thm)],[f57,f251])).
% 0.21/0.49 fof(f270,plain,(
% 0.21/0.49 ~spl0_10|spl0_11),
% 0.21/0.49 inference(split_clause,[status(thm)],[f269,f263,f266])).
% 0.21/0.49 fof(f271,plain,(
% 0.21/0.49 spl0_12 <=> epsilon_transitive(sk0_8)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f273,plain,(
% 0.21/0.49 ~epsilon_transitive(sk0_8)|spl0_12),
% 0.21/0.49 inference(component_clause,[status(thm)],[f271])).
% 0.21/0.49 fof(f274,plain,(
% 0.21/0.49 spl0_13 <=> ordinal(sk0_8)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f277,plain,(
% 0.21/0.49 ~epsilon_transitive(sk0_8)|ordinal(sk0_8)),
% 0.21/0.49 inference(resolution,[status(thm)],[f57,f246])).
% 0.21/0.49 fof(f278,plain,(
% 0.21/0.49 ~spl0_12|spl0_13),
% 0.21/0.49 inference(split_clause,[status(thm)],[f277,f271,f274])).
% 0.21/0.49 fof(f279,plain,(
% 0.21/0.49 spl0_14 <=> epsilon_transitive(sk0_7)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f281,plain,(
% 0.21/0.49 ~epsilon_transitive(sk0_7)|spl0_14),
% 0.21/0.49 inference(component_clause,[status(thm)],[f279])).
% 0.21/0.49 fof(f282,plain,(
% 0.21/0.49 spl0_15 <=> ordinal(sk0_7)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f285,plain,(
% 0.21/0.49 ~epsilon_transitive(sk0_7)|ordinal(sk0_7)),
% 0.21/0.49 inference(resolution,[status(thm)],[f57,f244])).
% 0.21/0.49 fof(f286,plain,(
% 0.21/0.49 ~spl0_14|spl0_15),
% 0.21/0.49 inference(split_clause,[status(thm)],[f285,f279,f282])).
% 0.21/0.49 fof(f287,plain,(
% 0.21/0.49 spl0_16 <=> epsilon_transitive(sk0_6)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f289,plain,(
% 0.21/0.49 ~epsilon_transitive(sk0_6)|spl0_16),
% 0.21/0.49 inference(component_clause,[status(thm)],[f287])).
% 0.21/0.49 fof(f290,plain,(
% 0.21/0.49 spl0_17 <=> ordinal(sk0_6)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f293,plain,(
% 0.21/0.49 ~epsilon_transitive(sk0_6)|ordinal(sk0_6)),
% 0.21/0.49 inference(resolution,[status(thm)],[f57,f112])).
% 0.21/0.49 fof(f294,plain,(
% 0.21/0.49 ~spl0_16|spl0_17),
% 0.21/0.49 inference(split_clause,[status(thm)],[f293,f287,f290])).
% 0.21/0.49 fof(f295,plain,(
% 0.21/0.49 spl0_18 <=> epsilon_transitive(empty_set)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f297,plain,(
% 0.21/0.49 ~epsilon_transitive(empty_set)|spl0_18),
% 0.21/0.49 inference(component_clause,[status(thm)],[f295])).
% 0.21/0.49 fof(f298,plain,(
% 0.21/0.49 spl0_19 <=> ordinal(empty_set)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f301,plain,(
% 0.21/0.49 ~epsilon_transitive(empty_set)|ordinal(empty_set)),
% 0.21/0.49 inference(resolution,[status(thm)],[f57,f103])).
% 0.21/0.49 fof(f302,plain,(
% 0.21/0.49 ~spl0_18|spl0_19),
% 0.21/0.49 inference(split_clause,[status(thm)],[f301,f295,f298])).
% 0.21/0.49 fof(f303,plain,(
% 0.21/0.49 $false|spl0_18),
% 0.21/0.49 inference(forward_subsumption_resolution,[status(thm)],[f297,f102])).
% 0.21/0.49 fof(f304,plain,(
% 0.21/0.49 spl0_18),
% 0.21/0.49 inference(contradiction_clause,[status(thm)],[f303])).
% 0.21/0.49 fof(f305,plain,(
% 0.21/0.49 $false|spl0_16),
% 0.21/0.49 inference(forward_subsumption_resolution,[status(thm)],[f289,f111])).
% 0.21/0.49 fof(f306,plain,(
% 0.21/0.49 spl0_16),
% 0.21/0.49 inference(contradiction_clause,[status(thm)],[f305])).
% 0.21/0.49 fof(f307,plain,(
% 0.21/0.49 $false|spl0_14),
% 0.21/0.49 inference(forward_subsumption_resolution,[status(thm)],[f281,f245])).
% 0.21/0.49 fof(f308,plain,(
% 0.21/0.49 spl0_14),
% 0.21/0.49 inference(contradiction_clause,[status(thm)],[f307])).
% 0.21/0.49 fof(f309,plain,(
% 0.21/0.49 $false|spl0_12),
% 0.21/0.49 inference(forward_subsumption_resolution,[status(thm)],[f273,f247])).
% 0.21/0.49 fof(f310,plain,(
% 0.21/0.49 spl0_12),
% 0.21/0.49 inference(contradiction_clause,[status(thm)],[f309])).
% 0.21/0.49 fof(f311,plain,(
% 0.21/0.49 $false|spl0_10),
% 0.21/0.49 inference(forward_subsumption_resolution,[status(thm)],[f265,f252])).
% 0.21/0.49 fof(f312,plain,(
% 0.21/0.49 spl0_10),
% 0.21/0.49 inference(contradiction_clause,[status(thm)],[f311])).
% 0.21/0.49 fof(f317,plain,(
% 0.21/0.49 spl0_20 <=> empty(sk0_10)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f318,plain,(
% 0.21/0.49 empty(sk0_10)|~spl0_20),
% 0.21/0.49 inference(component_clause,[status(thm)],[f317])).
% 0.21/0.49 fof(f319,plain,(
% 0.21/0.49 ~empty(sk0_10)|spl0_20),
% 0.21/0.49 inference(component_clause,[status(thm)],[f317])).
% 0.21/0.49 fof(f320,plain,(
% 0.21/0.49 spl0_21 <=> one_to_one(sk0_10)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f323,plain,(
% 0.21/0.49 ~empty(sk0_10)|one_to_one(sk0_10)),
% 0.21/0.49 inference(resolution,[status(thm)],[f125,f225])).
% 0.21/0.49 fof(f324,plain,(
% 0.21/0.49 ~spl0_20|spl0_21),
% 0.21/0.49 inference(split_clause,[status(thm)],[f323,f317,f320])).
% 0.21/0.49 fof(f325,plain,(
% 0.21/0.49 $false|spl0_20),
% 0.21/0.49 inference(forward_subsumption_resolution,[status(thm)],[f127,f319])).
% 0.21/0.49 fof(f326,plain,(
% 0.21/0.49 spl0_20),
% 0.21/0.49 inference(contradiction_clause,[status(thm)],[f325])).
% 0.21/0.49 fof(f327,plain,(
% 0.21/0.49 epsilon_transitive(sk0_10)|~spl0_20),
% 0.21/0.49 inference(resolution,[status(thm)],[f318,f59])).
% 0.21/0.49 fof(f330,plain,(
% 0.21/0.49 ordinal(sk0_10)|~spl0_20),
% 0.21/0.49 inference(resolution,[status(thm)],[f318,f61])).
% 0.21/0.49 fof(f331,plain,(
% 0.21/0.49 epsilon_connected(sk0_10)|~spl0_20),
% 0.21/0.49 inference(resolution,[status(thm)],[f330,f49])).
% 0.21/0.49 fof(f333,plain,(
% 0.21/0.49 spl0_22 <=> epsilon_transitive(sk0_10)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f335,plain,(
% 0.21/0.49 ~epsilon_transitive(sk0_10)|spl0_22),
% 0.21/0.49 inference(component_clause,[status(thm)],[f333])).
% 0.21/0.49 fof(f336,plain,(
% 0.21/0.49 spl0_23 <=> ordinal(sk0_10)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f339,plain,(
% 0.21/0.49 ~epsilon_transitive(sk0_10)|ordinal(sk0_10)|~spl0_20),
% 0.21/0.49 inference(resolution,[status(thm)],[f331,f57])).
% 0.21/0.49 fof(f340,plain,(
% 0.21/0.49 ~spl0_22|spl0_23|~spl0_20),
% 0.21/0.49 inference(split_clause,[status(thm)],[f339,f333,f336,f317])).
% 0.21/0.49 fof(f341,plain,(
% 0.21/0.49 $false|~spl0_20|spl0_22),
% 0.21/0.49 inference(forward_subsumption_resolution,[status(thm)],[f335,f327])).
% 0.21/0.49 fof(f342,plain,(
% 0.21/0.49 ~spl0_20|spl0_22),
% 0.21/0.49 inference(contradiction_clause,[status(thm)],[f341])).
% 0.21/0.49 fof(f348,plain,(
% 0.21/0.49 spl0_24 <=> epsilon_transitive(sk0_18)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f366,plain,(
% 0.21/0.49 spl0_28 <=> ordinal(sk0_0(sk0_18))),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f369,plain,(
% 0.21/0.49 epsilon_transitive(sk0_18)|ordinal(sk0_0(sk0_18))),
% 0.21/0.49 inference(resolution,[status(thm)],[f67,f171])).
% 0.21/0.49 fof(f370,plain,(
% 0.21/0.49 spl0_24|spl0_28),
% 0.21/0.49 inference(split_clause,[status(thm)],[f369,f348,f366])).
% 0.21/0.49 fof(f374,plain,(
% 0.21/0.49 spl0_29 <=> epsilon_transitive(sk0_14)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f376,plain,(
% 0.21/0.49 ~epsilon_transitive(sk0_14)|spl0_29),
% 0.21/0.49 inference(component_clause,[status(thm)],[f374])).
% 0.21/0.49 fof(f377,plain,(
% 0.21/0.49 spl0_30 <=> ordinal(sk0_14)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f380,plain,(
% 0.21/0.49 ~epsilon_transitive(sk0_14)|ordinal(sk0_14)),
% 0.21/0.49 inference(resolution,[status(thm)],[f143,f57])).
% 0.21/0.49 fof(f381,plain,(
% 0.21/0.49 ~spl0_29|spl0_30),
% 0.21/0.49 inference(split_clause,[status(thm)],[f380,f374,f377])).
% 0.21/0.49 fof(f382,plain,(
% 0.21/0.49 $false|spl0_29),
% 0.21/0.49 inference(forward_subsumption_resolution,[status(thm)],[f376,f142])).
% 0.21/0.49 fof(f383,plain,(
% 0.21/0.49 spl0_29),
% 0.21/0.49 inference(contradiction_clause,[status(thm)],[f382])).
% 0.21/0.49 fof(f395,plain,(
% 0.21/0.49 ![X0,X1]: (~epsilon_connected(X0)|~in(X1,X0)|in(X1,sk0_0(X0))|X1=sk0_0(X0)|in(sk0_0(X0),X1)|epsilon_transitive(X0))),
% 0.21/0.49 inference(resolution,[status(thm)],[f73,f67])).
% 0.21/0.49 fof(f396,plain,(
% 0.21/0.49 spl0_33 <=> epsilon_connected(sk0_18)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f397,plain,(
% 0.21/0.49 epsilon_connected(sk0_18)|~spl0_33),
% 0.21/0.49 inference(component_clause,[status(thm)],[f396])).
% 0.21/0.49 fof(f414,plain,(
% 0.21/0.49 spl0_37 <=> empty(sk0_7)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f416,plain,(
% 0.21/0.49 ~empty(sk0_7)|spl0_37),
% 0.21/0.49 inference(component_clause,[status(thm)],[f414])).
% 0.21/0.49 fof(f417,plain,(
% 0.21/0.49 spl0_38 <=> one_to_one(sk0_7)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f420,plain,(
% 0.21/0.49 ~empty(sk0_7)|one_to_one(sk0_7)),
% 0.21/0.49 inference(resolution,[status(thm)],[f216,f225])).
% 0.21/0.49 fof(f421,plain,(
% 0.21/0.49 ~spl0_37|spl0_38),
% 0.21/0.49 inference(split_clause,[status(thm)],[f420,f414,f417])).
% 0.21/0.49 fof(f422,plain,(
% 0.21/0.49 $false|spl0_37),
% 0.21/0.49 inference(forward_subsumption_resolution,[status(thm)],[f416,f115])).
% 0.21/0.49 fof(f423,plain,(
% 0.21/0.49 spl0_37),
% 0.21/0.49 inference(contradiction_clause,[status(thm)],[f422])).
% 0.21/0.49 fof(f424,plain,(
% 0.21/0.49 spl0_39 <=> empty(sk0_8)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f426,plain,(
% 0.21/0.49 ~empty(sk0_8)|spl0_39),
% 0.21/0.49 inference(component_clause,[status(thm)],[f424])).
% 0.21/0.49 fof(f427,plain,(
% 0.21/0.49 spl0_40 <=> one_to_one(sk0_8)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f430,plain,(
% 0.21/0.49 ~empty(sk0_8)|one_to_one(sk0_8)),
% 0.21/0.49 inference(resolution,[status(thm)],[f218,f225])).
% 0.21/0.49 fof(f431,plain,(
% 0.21/0.49 ~spl0_39|spl0_40),
% 0.21/0.49 inference(split_clause,[status(thm)],[f430,f424,f427])).
% 0.21/0.49 fof(f432,plain,(
% 0.21/0.49 $false|spl0_39),
% 0.21/0.49 inference(forward_subsumption_resolution,[status(thm)],[f426,f118])).
% 0.21/0.49 fof(f433,plain,(
% 0.21/0.49 spl0_39),
% 0.21/0.49 inference(contradiction_clause,[status(thm)],[f432])).
% 0.21/0.49 fof(f468,plain,(
% 0.21/0.49 spl0_43 <=> ordinal(sk0_1(sk0_18))),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f471,plain,(
% 0.21/0.49 epsilon_connected(sk0_18)|ordinal(sk0_1(sk0_18))),
% 0.21/0.49 inference(resolution,[status(thm)],[f74,f171])).
% 0.21/0.49 fof(f472,plain,(
% 0.21/0.49 spl0_33|spl0_43),
% 0.21/0.49 inference(split_clause,[status(thm)],[f471,f396,f468])).
% 0.21/0.49 fof(f477,plain,(
% 0.21/0.49 spl0_44 <=> ordinal(sk0_2(sk0_18))),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f478,plain,(
% 0.21/0.49 ordinal(sk0_2(sk0_18))|~spl0_44),
% 0.21/0.49 inference(component_clause,[status(thm)],[f477])).
% 0.21/0.49 fof(f480,plain,(
% 0.21/0.49 epsilon_connected(sk0_18)|ordinal(sk0_2(sk0_18))),
% 0.21/0.49 inference(resolution,[status(thm)],[f75,f171])).
% 0.21/0.49 fof(f481,plain,(
% 0.21/0.49 spl0_33|spl0_44),
% 0.21/0.49 inference(split_clause,[status(thm)],[f480,f396,f477])).
% 0.21/0.49 fof(f486,plain,(
% 0.21/0.49 ![X0]: (epsilon_connected(X0)|~ordinal(sk0_2(X0))|~ordinal(sk0_1(X0))|in(sk0_2(X0),sk0_1(X0))|sk0_2(X0)=sk0_1(X0))),
% 0.21/0.49 inference(resolution,[status(thm)],[f76,f164])).
% 0.21/0.49 fof(f487,plain,(
% 0.21/0.49 ~epsilon_transitive(sk0_18)|ordinal(sk0_18)|~spl0_33),
% 0.21/0.49 inference(resolution,[status(thm)],[f397,f57])).
% 0.21/0.49 fof(f488,plain,(
% 0.21/0.49 ~spl0_24|spl0_0|~spl0_33),
% 0.21/0.49 inference(split_clause,[status(thm)],[f487,f348,f192,f396])).
% 0.21/0.49 fof(f611,plain,(
% 0.21/0.49 ![X0]: (epsilon_connected(X0)|~ordinal(sk0_2(X0))|~ordinal(sk0_1(X0))|in(sk0_2(X0),sk0_1(X0)))),
% 0.21/0.49 inference(backward_subsumption_resolution,[status(thm)],[f486,f77])).
% 0.21/0.49 fof(f642,plain,(
% 0.21/0.49 ![X0]: (epsilon_connected(X0)|~ordinal(sk0_2(X0))|~ordinal(sk0_1(X0)))),
% 0.21/0.49 inference(backward_subsumption_resolution,[status(thm)],[f611,f78])).
% 0.21/0.49 fof(f647,plain,(
% 0.21/0.49 epsilon_connected(sk0_18)|~ordinal(sk0_1(sk0_18))|~spl0_44),
% 0.21/0.49 inference(resolution,[status(thm)],[f642,f478])).
% 0.21/0.49 fof(f648,plain,(
% 0.21/0.49 spl0_33|~spl0_43|~spl0_44),
% 0.21/0.49 inference(split_clause,[status(thm)],[f647,f396,f468,f477])).
% 0.21/0.49 fof(f655,plain,(
% 0.21/0.49 ![X0]: (subset(sk0_18,X0)|ordinal(sk0_3(X0,sk0_18)))),
% 0.21/0.49 inference(resolution,[status(thm)],[f84,f171])).
% 0.21/0.49 fof(f662,plain,(
% 0.21/0.49 ![X0,X1]: (subset(X0,X1)|~ordinal(X0)|ordinal(sk0_3(X1,X0)))),
% 0.21/0.49 inference(resolution,[status(thm)],[f84,f162])).
% 0.21/0.49 fof(f667,plain,(
% 0.21/0.49 ![X0]: (subset(X0,sk0_18)|~ordinal(sk0_3(sk0_18,X0)))),
% 0.21/0.49 inference(resolution,[status(thm)],[f85,f172])).
% 0.21/0.49 fof(f954,plain,(
% 0.21/0.49 spl0_104 <=> subset(sk0_18,sk0_18)),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f1203,plain,(
% 0.21/0.49 subset(sk0_18,sk0_18)|subset(sk0_18,sk0_18)),
% 0.21/0.49 inference(resolution,[status(thm)],[f667,f655])).
% 0.21/0.49 fof(f1204,plain,(
% 0.21/0.49 spl0_104),
% 0.21/0.49 inference(split_clause,[status(thm)],[f1203,f954])).
% 0.21/0.49 fof(f1353,plain,(
% 0.21/0.49 ![X0]: (~epsilon_connected(X0)|~in(sk0_18,X0)|in(sk0_18,sk0_0(X0))|sk0_18=sk0_0(X0)|epsilon_transitive(X0)|ordinal(sk0_0(X0)))),
% 0.21/0.49 inference(resolution,[status(thm)],[f395,f171])).
% 0.21/0.49 fof(f1517,plain,(
% 0.21/0.49 spl0_155 <=> ~epsilon_connected(X0)|~in(sk0_18,X0)|sk0_18=sk0_0(X0)|epsilon_transitive(X0)|ordinal(sk0_0(X0))|~ordinal(sk0_0(X0))),
% 0.21/0.49 introduced(split_symbol_definition)).
% 0.21/0.49 fof(f1520,plain,(
% 0.21/0.49 ![X0]: (~epsilon_connected(X0)|~in(sk0_18,X0)|sk0_18=sk0_0(X0)|epsilon_transitive(X0)|ordinal(sk0_0(X0))|~ordinal(sk0_0(X0))|ordinal(sk0_18))),
% 0.21/0.49 inference(resolution,[status(thm)],[f1353,f162])).
% 0.21/0.49 fof(f1521,plain,(
% 0.21/0.49 spl0_155|spl0_0),
% 0.21/0.49 inference(split_clause,[status(thm)],[f1520,f1517,f192])).
% 0.21/0.49 fof(f1563,plain,(
% 0.21/0.49 ![X0]: (subset(X0,sk0_18)|~ordinal(X0)|subset(X0,sk0_18))),
% 0.21/0.49 inference(resolution,[status(thm)],[f662,f667])).
% 0.21/0.49 fof(f1564,plain,(
% 0.21/0.49 ![X0]: (subset(X0,sk0_18)|~ordinal(X0))),
% 0.21/0.49 inference(duplicate_literals_removal,[status(esa)],[f1563])).
% 0.21/0.49 fof(f1567,plain,(
% 0.21/0.49 ~ordinal(sk0_0(sk0_18))|epsilon_transitive(sk0_18)),
% 0.21/0.49 inference(resolution,[status(thm)],[f1564,f68])).
% 0.21/0.49 fof(f1568,plain,(
% 0.21/0.49 ~spl0_28|spl0_24),
% 0.21/0.49 inference(split_clause,[status(thm)],[f1567,f366,f348])).
% 0.21/0.49 fof(f1570,plain,(
% 0.21/0.49 $false),
% 0.21/0.49 inference(sat_refutation,[status(thm)],[f196,f241,f243,f260,f262,f270,f278,f286,f294,f302,f304,f306,f308,f310,f312,f324,f326,f340,f342,f370,f381,f383,f421,f423,f431,f433,f472,f481,f488,f648,f1204,f1521,f1568])).
% 0.21/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.49 % Elapsed time: 0.134626 seconds
% 0.21/0.49 % CPU time: 0.656437 seconds
% 0.21/0.49 % Memory used: 54.029 MB
%------------------------------------------------------------------------------