TSTP Solution File: NUM404+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n022.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 20:34:36 EDT 2024
% Result : Theorem 0.19s 0.58s
% Output : CNFRefutation 1.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM404+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 20:41:13 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.19/0.58 % Refutation found
% 0.19/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.58 fof(f1,axiom,(
% 0.19/0.58 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f4,axiom,(
% 0.19/0.58 (! [A] :( empty(A)=> relation(A) ) )),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f5,axiom,(
% 0.19/0.58 (! [A] :( ( relation(A)& empty(A)& function(A) )=> ( relation(A)& function(A)& one_to_one(A) ) ) )),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f6,axiom,(
% 0.19/0.58 (! [A] :( ( epsilon_transitive(A)& epsilon_connected(A) )=> ordinal(A) ) )),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f7,axiom,(
% 0.19/0.58 (! [A] :( empty(A)=> ( epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) ) )),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f8,axiom,(
% 0.19/0.58 (! [A] :( epsilon_transitive(A)<=> (! [B] :( in(B,A)=> subset(B,A) ) )) )),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f9,axiom,(
% 0.19/0.58 (! [A] :( epsilon_connected(A)<=> (! [B,C] :~ ( in(B,A)& in(C,A)& ~ in(B,C)& B != C& ~ in(C,B) ) )) )),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f10,axiom,(
% 0.19/0.58 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f12,axiom,(
% 0.19/0.58 (! [A] :(? [B] : element(B,A) ))),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f13,axiom,(
% 0.19/0.58 ( empty(empty_set)& relation(empty_set)& relation_empty_yielding(empty_set) ) ),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f15,axiom,(
% 0.19/0.58 ( relation(empty_set)& relation_empty_yielding(empty_set)& function(empty_set)& one_to_one(empty_set)& empty(empty_set)& epsilon_transitive(empty_set)& epsilon_connected(empty_set)& ordinal(empty_set) ) ),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f18,axiom,(
% 0.19/0.58 (? [A] :( epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f22,axiom,(
% 0.19/0.58 (? [A] :( relation(A)& function(A)& one_to_one(A)& empty(A)& epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f26,axiom,(
% 0.19/0.58 (? [A] :( ~ empty(A)& epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f32,axiom,(
% 0.19/0.58 (! [A,B] :( ordinal(B)=> ( in(A,B)=> ordinal(A) ) ) )),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f33,axiom,(
% 0.19/0.58 (! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> ~ ( ~ in(A,B)& A != B& ~ in(B,A) ) ) )) )),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f35,conjecture,(
% 0.19/0.58 (! [A] :~ (! [B] :( in(B,A)<=> ordinal(B) ) ))),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f36,negated_conjecture,(
% 0.19/0.58 ~((! [A] :~ (! [B] :( in(B,A)<=> ordinal(B) ) )))),
% 0.19/0.58 inference(negated_conjecture,[status(cth)],[f35])).
% 0.19/0.58 fof(f37,axiom,(
% 0.19/0.58 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f39,axiom,(
% 0.19/0.58 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f41,axiom,(
% 0.19/0.58 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f43,plain,(
% 0.19/0.58 ![A,B]: (~in(A,B)|~in(B,A))),
% 0.19/0.58 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.19/0.58 fof(f44,plain,(
% 0.19/0.58 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 0.19/0.58 inference(cnf_transformation,[status(esa)],[f43])).
% 0.19/0.58 fof(f50,plain,(
% 0.19/0.58 ![A]: (~empty(A)|relation(A))),
% 0.19/0.58 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.19/0.58 fof(f51,plain,(
% 0.19/0.58 ![X0]: (~empty(X0)|relation(X0))),
% 0.19/0.58 inference(cnf_transformation,[status(esa)],[f50])).
% 0.19/0.58 fof(f52,plain,(
% 0.19/0.58 ![A]: (((~relation(A)|~empty(A))|~function(A))|((relation(A)&function(A))&one_to_one(A)))),
% 0.19/0.58 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.19/0.58 fof(f55,plain,(
% 0.19/0.58 ![X0]: (~relation(X0)|~empty(X0)|~function(X0)|one_to_one(X0))),
% 0.19/0.58 inference(cnf_transformation,[status(esa)],[f52])).
% 1.64/0.59 fof(f56,plain,(
% 1.64/0.59 ![A]: ((~epsilon_transitive(A)|~epsilon_connected(A))|ordinal(A))),
% 1.64/0.59 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 1.64/0.59 fof(f57,plain,(
% 1.64/0.59 ![X0]: (~epsilon_transitive(X0)|~epsilon_connected(X0)|ordinal(X0))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f56])).
% 1.64/0.59 fof(f58,plain,(
% 1.64/0.59 ![A]: (~empty(A)|((epsilon_transitive(A)&epsilon_connected(A))&ordinal(A)))),
% 1.64/0.59 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 1.64/0.59 fof(f61,plain,(
% 1.64/0.59 ![X0]: (~empty(X0)|ordinal(X0))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f58])).
% 1.64/0.59 fof(f62,plain,(
% 1.64/0.59 ![A]: (epsilon_transitive(A)<=>(![B]: (~in(B,A)|subset(B,A))))),
% 1.64/0.59 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 1.64/0.59 fof(f63,plain,(
% 1.64/0.59 ![A]: ((~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A))))&(epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 1.64/0.59 inference(NNF_transformation,[status(esa)],[f62])).
% 1.64/0.59 fof(f64,plain,(
% 1.64/0.59 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 1.64/0.59 inference(miniscoping,[status(esa)],[f63])).
% 1.64/0.59 fof(f65,plain,(
% 1.64/0.59 (![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))))),
% 1.64/0.59 inference(skolemization,[status(esa)],[f64])).
% 1.64/0.59 fof(f67,plain,(
% 1.64/0.59 ![X0]: (epsilon_transitive(X0)|in(sk0_0(X0),X0))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f65])).
% 1.64/0.59 fof(f68,plain,(
% 1.64/0.59 ![X0]: (epsilon_transitive(X0)|~subset(sk0_0(X0),X0))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f65])).
% 1.64/0.59 fof(f69,plain,(
% 1.64/0.59 ![A]: (epsilon_connected(A)<=>(![B,C]: ((((~in(B,A)|~in(C,A))|in(B,C))|B=C)|in(C,B))))),
% 1.64/0.59 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 1.64/0.59 fof(f70,plain,(
% 1.64/0.59 ![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)))))),
% 1.64/0.59 inference(NNF_transformation,[status(esa)],[f69])).
% 1.64/0.59 fof(f71,plain,(
% 1.64/0.59 (![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)))))),
% 1.64/0.59 inference(miniscoping,[status(esa)],[f70])).
% 1.64/0.59 fof(f72,plain,(
% 1.64/0.59 (![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)))))),
% 1.64/0.59 inference(skolemization,[status(esa)],[f71])).
% 1.64/0.59 fof(f74,plain,(
% 1.64/0.59 ![X0]: (epsilon_connected(X0)|in(sk0_1(X0),X0))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f72])).
% 1.64/0.59 fof(f75,plain,(
% 1.64/0.59 ![X0]: (epsilon_connected(X0)|in(sk0_2(X0),X0))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f72])).
% 1.64/0.59 fof(f76,plain,(
% 1.64/0.59 ![X0]: (epsilon_connected(X0)|~in(sk0_1(X0),sk0_2(X0)))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f72])).
% 1.64/0.59 fof(f77,plain,(
% 1.64/0.59 ![X0]: (epsilon_connected(X0)|~sk0_1(X0)=sk0_2(X0))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f72])).
% 1.64/0.59 fof(f78,plain,(
% 1.64/0.59 ![X0]: (epsilon_connected(X0)|~in(sk0_2(X0),sk0_1(X0)))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f72])).
% 1.64/0.59 fof(f79,plain,(
% 1.64/0.59 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 1.64/0.59 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 1.64/0.59 fof(f80,plain,(
% 1.64/0.59 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 1.64/0.59 inference(NNF_transformation,[status(esa)],[f79])).
% 1.64/0.59 fof(f81,plain,(
% 1.64/0.59 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 1.64/0.59 inference(miniscoping,[status(esa)],[f80])).
% 1.64/0.59 fof(f82,plain,(
% 1.64/0.59 (![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))))),
% 1.64/0.59 inference(skolemization,[status(esa)],[f81])).
% 1.64/0.59 fof(f84,plain,(
% 1.64/0.59 ![X0,X1]: (subset(X0,X1)|in(sk0_3(X1,X0),X0))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f82])).
% 1.64/0.59 fof(f85,plain,(
% 1.64/0.59 ![X0,X1]: (subset(X0,X1)|~in(sk0_3(X1,X0),X1))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f82])).
% 1.64/0.59 fof(f91,plain,(
% 1.64/0.59 ![A]: element(sk0_4(A),A)),
% 1.64/0.59 inference(skolemization,[status(esa)],[f12])).
% 1.64/0.59 fof(f92,plain,(
% 1.64/0.59 ![X0]: (element(sk0_4(X0),X0))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f91])).
% 1.64/0.59 fof(f93,plain,(
% 1.64/0.59 empty(empty_set)),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f13])).
% 1.64/0.59 fof(f99,plain,(
% 1.64/0.59 function(empty_set)),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f15])).
% 1.64/0.59 fof(f102,plain,(
% 1.64/0.59 epsilon_transitive(empty_set)),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f15])).
% 1.64/0.59 fof(f103,plain,(
% 1.64/0.59 epsilon_connected(empty_set)),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f15])).
% 1.64/0.59 fof(f110,plain,(
% 1.64/0.59 ((epsilon_transitive(sk0_6)&epsilon_connected(sk0_6))&ordinal(sk0_6))),
% 1.64/0.59 inference(skolemization,[status(esa)],[f18])).
% 1.64/0.59 fof(f111,plain,(
% 1.64/0.59 epsilon_transitive(sk0_6)),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f110])).
% 1.64/0.59 fof(f112,plain,(
% 1.64/0.59 epsilon_connected(sk0_6)),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f110])).
% 1.64/0.59 fof(f123,plain,(
% 1.64/0.59 ((((((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))),
% 1.64/0.59 inference(skolemization,[status(esa)],[f22])).
% 1.64/0.59 fof(f125,plain,(
% 1.64/0.59 function(sk0_10)),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f123])).
% 1.64/0.59 fof(f127,plain,(
% 1.64/0.59 empty(sk0_10)),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f123])).
% 1.64/0.59 fof(f140,plain,(
% 1.64/0.59 (((~empty(sk0_14)&epsilon_transitive(sk0_14))&epsilon_connected(sk0_14))&ordinal(sk0_14))),
% 1.64/0.59 inference(skolemization,[status(esa)],[f26])).
% 1.64/0.59 fof(f142,plain,(
% 1.64/0.59 epsilon_transitive(sk0_14)),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f140])).
% 1.64/0.59 fof(f143,plain,(
% 1.64/0.59 epsilon_connected(sk0_14)),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f140])).
% 1.64/0.59 fof(f160,plain,(
% 1.64/0.59 ![A,B]: (~ordinal(B)|(~in(A,B)|ordinal(A)))),
% 1.64/0.59 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 1.64/0.59 fof(f161,plain,(
% 1.64/0.59 ![B]: (~ordinal(B)|(![A]: (~in(A,B)|ordinal(A))))),
% 1.64/0.59 inference(miniscoping,[status(esa)],[f160])).
% 1.64/0.59 fof(f162,plain,(
% 1.64/0.59 ![X0,X1]: (~ordinal(X0)|~in(X1,X0)|ordinal(X1))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f161])).
% 1.64/0.59 fof(f163,plain,(
% 1.64/0.59 ![A]: (~ordinal(A)|(![B]: (~ordinal(B)|((in(A,B)|A=B)|in(B,A)))))),
% 1.64/0.59 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 1.64/0.59 fof(f164,plain,(
% 1.64/0.59 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|in(X0,X1)|X0=X1|in(X1,X0))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f163])).
% 1.64/0.59 fof(f167,plain,(
% 1.64/0.59 (?[A]: ![B]: (in(B,A)<=>ordinal(B)))),
% 1.64/0.59 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 1.64/0.59 fof(f168,plain,(
% 1.64/0.59 ?[A]: ![B]: ((~in(B,A)|ordinal(B))&(in(B,A)|~ordinal(B)))),
% 1.64/0.59 inference(NNF_transformation,[status(esa)],[f167])).
% 1.64/0.59 fof(f169,plain,(
% 1.64/0.59 ?[A]: ((![B]: (~in(B,A)|ordinal(B)))&(![B]: (in(B,A)|~ordinal(B))))),
% 1.64/0.59 inference(miniscoping,[status(esa)],[f168])).
% 1.64/0.59 fof(f170,plain,(
% 1.64/0.59 ((![B]: (~in(B,sk0_18)|ordinal(B)))&(![B]: (in(B,sk0_18)|~ordinal(B))))),
% 1.64/0.59 inference(skolemization,[status(esa)],[f169])).
% 1.64/0.59 fof(f171,plain,(
% 1.64/0.59 ![X0]: (~in(X0,sk0_18)|ordinal(X0))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f170])).
% 1.64/0.59 fof(f172,plain,(
% 1.64/0.59 ![X0]: (in(X0,sk0_18)|~ordinal(X0))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f170])).
% 1.64/0.59 fof(f173,plain,(
% 1.64/0.59 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 1.64/0.59 inference(NNF_transformation,[status(esa)],[f37])).
% 1.64/0.59 fof(f174,plain,(
% 1.64/0.59 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 1.64/0.59 inference(miniscoping,[status(esa)],[f173])).
% 1.64/0.59 fof(f176,plain,(
% 1.64/0.59 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f174])).
% 1.64/0.59 fof(f180,plain,(
% 1.64/0.59 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 1.64/0.59 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 1.64/0.59 fof(f181,plain,(
% 1.64/0.59 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 1.64/0.59 inference(miniscoping,[status(esa)],[f180])).
% 1.64/0.59 fof(f182,plain,(
% 1.64/0.59 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f181])).
% 1.64/0.59 fof(f185,plain,(
% 1.64/0.59 ![A,B]: (~in(A,B)|~empty(B))),
% 1.64/0.59 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 1.64/0.59 fof(f186,plain,(
% 1.64/0.59 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 1.64/0.59 inference(miniscoping,[status(esa)],[f185])).
% 1.64/0.59 fof(f187,plain,(
% 1.64/0.59 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 1.64/0.59 inference(cnf_transformation,[status(esa)],[f186])).
% 1.64/0.59 fof(f191,plain,(
% 1.64/0.59 ![X0]: (~in(sk0_18,X0)|~ordinal(X0))),
% 1.64/0.59 inference(resolution,[status(thm)],[f44,f172])).
% 1.64/0.59 fof(f192,plain,(
% 1.64/0.59 spl0_0 <=> ordinal(sk0_18)),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f195,plain,(
% 1.64/0.59 ~ordinal(sk0_18)|~ordinal(sk0_18)),
% 1.64/0.59 inference(resolution,[status(thm)],[f191,f172])).
% 1.64/0.59 fof(f196,plain,(
% 1.64/0.59 ~spl0_0),
% 1.64/0.59 inference(split_clause,[status(thm)],[f195,f192])).
% 1.64/0.59 fof(f220,plain,(
% 1.64/0.59 ![X0,X1]: (~empty(X0)|~ordinal(X0)|~ordinal(X1)|in(X0,X1)|X0=X1)),
% 1.64/0.59 inference(resolution,[status(thm)],[f187,f164])).
% 1.64/0.59 fof(f221,plain,(
% 1.64/0.59 ![X0,X1]: (~empty(X0)|~ordinal(X1)|in(X0,X1)|X0=X1)),
% 1.64/0.59 inference(forward_subsumption_resolution,[status(thm)],[f220,f61])).
% 1.64/0.59 fof(f232,plain,(
% 1.64/0.59 ![X0,X1]: (~empty(X0)|~ordinal(X1)|X0=X1|~empty(X1))),
% 1.64/0.59 inference(resolution,[status(thm)],[f221,f187])).
% 1.64/0.59 fof(f233,plain,(
% 1.64/0.59 ![X0,X1]: (~empty(X0)|X0=X1|~empty(X1))),
% 1.64/0.59 inference(forward_subsumption_resolution,[status(thm)],[f232,f61])).
% 1.64/0.59 fof(f240,plain,(
% 1.64/0.59 ![X0,X1]: (~in(X0,sk0_4(powerset(X1)))|~empty(X1))),
% 1.64/0.59 inference(resolution,[status(thm)],[f182,f92])).
% 1.64/0.59 fof(f348,plain,(
% 1.64/0.59 ![X0]: (~empty(X0)|~function(X0)|one_to_one(X0))),
% 1.64/0.59 inference(forward_subsumption_resolution,[status(thm)],[f55,f51])).
% 1.64/0.59 fof(f349,plain,(
% 1.64/0.59 spl0_10 <=> empty(empty_set)),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f351,plain,(
% 1.64/0.59 ~empty(empty_set)|spl0_10),
% 1.64/0.59 inference(component_clause,[status(thm)],[f349])).
% 1.64/0.59 fof(f352,plain,(
% 1.64/0.59 spl0_11 <=> one_to_one(empty_set)),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f355,plain,(
% 1.64/0.59 ~empty(empty_set)|one_to_one(empty_set)),
% 1.64/0.59 inference(resolution,[status(thm)],[f348,f99])).
% 1.64/0.59 fof(f356,plain,(
% 1.64/0.59 ~spl0_10|spl0_11),
% 1.64/0.59 inference(split_clause,[status(thm)],[f355,f349,f352])).
% 1.64/0.59 fof(f357,plain,(
% 1.64/0.59 $false|spl0_10),
% 1.64/0.59 inference(forward_subsumption_resolution,[status(thm)],[f351,f93])).
% 1.64/0.59 fof(f358,plain,(
% 1.64/0.59 spl0_10),
% 1.64/0.59 inference(contradiction_clause,[status(thm)],[f357])).
% 1.64/0.59 fof(f409,plain,(
% 1.64/0.59 spl0_14 <=> empty(sk0_10)),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f411,plain,(
% 1.64/0.59 ~empty(sk0_10)|spl0_14),
% 1.64/0.59 inference(component_clause,[status(thm)],[f409])).
% 1.64/0.59 fof(f412,plain,(
% 1.64/0.59 spl0_15 <=> one_to_one(sk0_10)),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f415,plain,(
% 1.64/0.59 ~empty(sk0_10)|one_to_one(sk0_10)),
% 1.64/0.59 inference(resolution,[status(thm)],[f125,f348])).
% 1.64/0.59 fof(f416,plain,(
% 1.64/0.59 ~spl0_14|spl0_15),
% 1.64/0.59 inference(split_clause,[status(thm)],[f415,f409,f412])).
% 1.64/0.59 fof(f419,plain,(
% 1.64/0.59 ![X0]: (~empty(X0)|X0=sk0_10)),
% 1.64/0.59 inference(resolution,[status(thm)],[f127,f233])).
% 1.64/0.59 fof(f422,plain,(
% 1.64/0.59 empty_set=sk0_10),
% 1.64/0.59 inference(resolution,[status(thm)],[f419,f93])).
% 1.64/0.59 fof(f431,plain,(
% 1.64/0.59 spl0_16 <=> epsilon_transitive(sk0_6)),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f433,plain,(
% 1.64/0.59 ~epsilon_transitive(sk0_6)|spl0_16),
% 1.64/0.59 inference(component_clause,[status(thm)],[f431])).
% 1.64/0.59 fof(f434,plain,(
% 1.64/0.59 spl0_17 <=> ordinal(sk0_6)),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f437,plain,(
% 1.64/0.59 ~epsilon_transitive(sk0_6)|ordinal(sk0_6)),
% 1.64/0.59 inference(resolution,[status(thm)],[f57,f112])).
% 1.64/0.59 fof(f438,plain,(
% 1.64/0.59 ~spl0_16|spl0_17),
% 1.64/0.59 inference(split_clause,[status(thm)],[f437,f431,f434])).
% 1.64/0.59 fof(f439,plain,(
% 1.64/0.59 spl0_18 <=> epsilon_transitive(empty_set)),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f441,plain,(
% 1.64/0.59 ~epsilon_transitive(empty_set)|spl0_18),
% 1.64/0.59 inference(component_clause,[status(thm)],[f439])).
% 1.64/0.59 fof(f442,plain,(
% 1.64/0.59 spl0_19 <=> ordinal(empty_set)),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f445,plain,(
% 1.64/0.59 ~epsilon_transitive(empty_set)|ordinal(empty_set)),
% 1.64/0.59 inference(resolution,[status(thm)],[f57,f103])).
% 1.64/0.59 fof(f446,plain,(
% 1.64/0.59 ~spl0_18|spl0_19),
% 1.64/0.59 inference(split_clause,[status(thm)],[f445,f439,f442])).
% 1.64/0.59 fof(f447,plain,(
% 1.64/0.59 $false|spl0_18),
% 1.64/0.59 inference(forward_subsumption_resolution,[status(thm)],[f441,f102])).
% 1.64/0.59 fof(f448,plain,(
% 1.64/0.59 spl0_18),
% 1.64/0.59 inference(contradiction_clause,[status(thm)],[f447])).
% 1.64/0.59 fof(f449,plain,(
% 1.64/0.59 $false|spl0_16),
% 1.64/0.59 inference(forward_subsumption_resolution,[status(thm)],[f433,f111])).
% 1.64/0.59 fof(f450,plain,(
% 1.64/0.59 spl0_16),
% 1.64/0.59 inference(contradiction_clause,[status(thm)],[f449])).
% 1.64/0.59 fof(f459,plain,(
% 1.64/0.59 spl0_20 <=> epsilon_transitive(sk0_18)),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f496,plain,(
% 1.64/0.59 spl0_25 <=> epsilon_transitive(sk0_14)),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f498,plain,(
% 1.64/0.59 ~epsilon_transitive(sk0_14)|spl0_25),
% 1.64/0.59 inference(component_clause,[status(thm)],[f496])).
% 1.64/0.59 fof(f499,plain,(
% 1.64/0.59 spl0_26 <=> ordinal(sk0_14)),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f502,plain,(
% 1.64/0.59 ~epsilon_transitive(sk0_14)|ordinal(sk0_14)),
% 1.64/0.59 inference(resolution,[status(thm)],[f143,f57])).
% 1.64/0.59 fof(f503,plain,(
% 1.64/0.59 ~spl0_25|spl0_26),
% 1.64/0.59 inference(split_clause,[status(thm)],[f502,f496,f499])).
% 1.64/0.59 fof(f504,plain,(
% 1.64/0.59 $false|spl0_25),
% 1.64/0.59 inference(forward_subsumption_resolution,[status(thm)],[f498,f142])).
% 1.64/0.59 fof(f505,plain,(
% 1.64/0.59 spl0_25),
% 1.64/0.59 inference(contradiction_clause,[status(thm)],[f504])).
% 1.64/0.59 fof(f529,plain,(
% 1.64/0.59 ~empty(empty_set)|spl0_14),
% 1.64/0.59 inference(forward_demodulation,[status(thm)],[f422,f411])).
% 1.64/0.59 fof(f530,plain,(
% 1.64/0.59 $false|spl0_14),
% 1.64/0.59 inference(forward_subsumption_resolution,[status(thm)],[f529,f93])).
% 1.64/0.59 fof(f531,plain,(
% 1.64/0.59 spl0_14),
% 1.64/0.59 inference(contradiction_clause,[status(thm)],[f530])).
% 1.64/0.59 fof(f538,plain,(
% 1.64/0.59 spl0_31 <=> ordinal(sk0_0(sk0_18))),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f541,plain,(
% 1.64/0.59 epsilon_transitive(sk0_18)|ordinal(sk0_0(sk0_18))),
% 1.64/0.59 inference(resolution,[status(thm)],[f67,f171])).
% 1.64/0.59 fof(f542,plain,(
% 1.64/0.59 spl0_20|spl0_31),
% 1.64/0.59 inference(split_clause,[status(thm)],[f541,f459,f538])).
% 1.64/0.59 fof(f617,plain,(
% 1.64/0.59 spl0_41 <=> epsilon_connected(sk0_18)),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f618,plain,(
% 1.64/0.59 epsilon_connected(sk0_18)|~spl0_41),
% 1.64/0.59 inference(component_clause,[status(thm)],[f617])).
% 1.64/0.59 fof(f620,plain,(
% 1.64/0.59 spl0_42 <=> ordinal(sk0_1(sk0_18))),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f623,plain,(
% 1.64/0.59 epsilon_connected(sk0_18)|ordinal(sk0_1(sk0_18))),
% 1.64/0.59 inference(resolution,[status(thm)],[f74,f171])).
% 1.64/0.59 fof(f624,plain,(
% 1.64/0.59 spl0_41|spl0_42),
% 1.64/0.59 inference(split_clause,[status(thm)],[f623,f617,f620])).
% 1.64/0.59 fof(f632,plain,(
% 1.64/0.59 ~epsilon_transitive(sk0_18)|ordinal(sk0_18)|~spl0_41),
% 1.64/0.59 inference(resolution,[status(thm)],[f618,f57])).
% 1.64/0.59 fof(f633,plain,(
% 1.64/0.59 ~spl0_20|spl0_0|~spl0_41),
% 1.64/0.59 inference(split_clause,[status(thm)],[f632,f459,f192,f617])).
% 1.64/0.59 fof(f652,plain,(
% 1.64/0.59 spl0_45 <=> ordinal(sk0_2(sk0_18))),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f653,plain,(
% 1.64/0.59 ordinal(sk0_2(sk0_18))|~spl0_45),
% 1.64/0.59 inference(component_clause,[status(thm)],[f652])).
% 1.64/0.59 fof(f655,plain,(
% 1.64/0.59 epsilon_connected(sk0_18)|ordinal(sk0_2(sk0_18))),
% 1.64/0.59 inference(resolution,[status(thm)],[f75,f171])).
% 1.64/0.59 fof(f656,plain,(
% 1.64/0.59 spl0_41|spl0_45),
% 1.64/0.59 inference(split_clause,[status(thm)],[f655,f617,f652])).
% 1.64/0.59 fof(f682,plain,(
% 1.64/0.59 ![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))),
% 1.64/0.59 inference(resolution,[status(thm)],[f76,f164])).
% 1.64/0.59 fof(f691,plain,(
% 1.64/0.59 ![X0]: (subset(sk0_18,X0)|ordinal(sk0_3(X0,sk0_18)))),
% 1.64/0.59 inference(resolution,[status(thm)],[f84,f171])).
% 1.64/0.59 fof(f696,plain,(
% 1.64/0.59 ![X0,X1]: (subset(X0,X1)|~empty(X0))),
% 1.64/0.59 inference(resolution,[status(thm)],[f84,f187])).
% 1.64/0.59 fof(f697,plain,(
% 1.64/0.59 ![X0,X1]: (subset(X0,X1)|~ordinal(X0)|ordinal(sk0_3(X1,X0)))),
% 1.64/0.59 inference(resolution,[status(thm)],[f84,f162])).
% 1.64/0.59 fof(f701,plain,(
% 1.64/0.59 ![X0]: (subset(X0,sk0_18)|~ordinal(sk0_3(sk0_18,X0)))),
% 1.64/0.59 inference(resolution,[status(thm)],[f85,f172])).
% 1.64/0.59 fof(f719,plain,(
% 1.64/0.59 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|~empty(X1))),
% 1.64/0.59 inference(resolution,[status(thm)],[f176,f182])).
% 1.64/0.59 fof(f728,plain,(
% 1.64/0.59 ![X0,X1]: (~empty(X0)|subset(sk0_4(powerset(X0)),X1))),
% 1.64/0.59 inference(resolution,[status(thm)],[f240,f84])).
% 1.64/0.59 fof(f775,plain,(
% 1.64/0.59 spl0_50 <=> subset(sk0_18,sk0_18)),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f778,plain,(
% 1.64/0.59 subset(sk0_18,sk0_18)|subset(sk0_18,sk0_18)),
% 1.64/0.59 inference(resolution,[status(thm)],[f701,f691])).
% 1.64/0.59 fof(f779,plain,(
% 1.64/0.59 spl0_50),
% 1.64/0.59 inference(split_clause,[status(thm)],[f778,f775])).
% 1.64/0.59 fof(f845,plain,(
% 1.64/0.59 ![X0]: (subset(X0,sk0_18)|~ordinal(X0)|subset(X0,sk0_18))),
% 1.64/0.59 inference(resolution,[status(thm)],[f697,f701])).
% 1.64/0.59 fof(f846,plain,(
% 1.64/0.59 ![X0]: (subset(X0,sk0_18)|~ordinal(X0))),
% 1.64/0.59 inference(duplicate_literals_removal,[status(esa)],[f845])).
% 1.64/0.59 fof(f847,plain,(
% 1.64/0.59 ~ordinal(sk0_0(sk0_18))|epsilon_transitive(sk0_18)),
% 1.64/0.59 inference(resolution,[status(thm)],[f846,f68])).
% 1.64/0.59 fof(f848,plain,(
% 1.64/0.59 ~spl0_31|spl0_20),
% 1.64/0.59 inference(split_clause,[status(thm)],[f847,f538,f459])).
% 1.64/0.59 fof(f1114,plain,(
% 1.64/0.59 ![X0]: (epsilon_connected(X0)|~ordinal(sk0_2(X0))|~ordinal(sk0_1(X0))|sk0_2(X0)=sk0_1(X0))),
% 1.64/0.59 inference(forward_subsumption_resolution,[status(thm)],[f682,f78])).
% 1.64/0.59 fof(f1115,plain,(
% 1.64/0.59 ![X0]: (epsilon_connected(X0)|~ordinal(sk0_2(X0))|~ordinal(sk0_1(X0))|epsilon_connected(X0))),
% 1.64/0.59 inference(resolution,[status(thm)],[f1114,f77])).
% 1.64/0.59 fof(f1116,plain,(
% 1.64/0.59 ![X0]: (epsilon_connected(X0)|~ordinal(sk0_2(X0))|~ordinal(sk0_1(X0)))),
% 1.64/0.59 inference(duplicate_literals_removal,[status(esa)],[f1115])).
% 1.64/0.59 fof(f1169,plain,(
% 1.64/0.59 spl0_94 <=> ~in(X0,X1)|~empty(X1)),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f1172,plain,(
% 1.64/0.59 spl0_95 <=> ~empty(X2)),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f1173,plain,(
% 1.64/0.59 ![X0]: (~empty(X0)|~spl0_95)),
% 1.64/0.59 inference(component_clause,[status(thm)],[f1172])).
% 1.64/0.59 fof(f1175,plain,(
% 1.64/0.59 ![X0,X1,X2]: (~in(X0,X1)|~empty(X2)|~empty(X1))),
% 1.64/0.59 inference(resolution,[status(thm)],[f719,f696])).
% 1.64/0.59 fof(f1176,plain,(
% 1.64/0.59 spl0_94|spl0_95),
% 1.64/0.59 inference(split_clause,[status(thm)],[f1175,f1169,f1172])).
% 1.64/0.59 fof(f1357,plain,(
% 1.64/0.59 spl0_113 <=> ~empty(X0)|~in(X1,sk0_4(powerset(X0)))),
% 1.64/0.59 introduced(split_symbol_definition)).
% 1.64/0.59 fof(f1360,plain,(
% 1.64/0.59 ![X0,X1,X2]: (~empty(X0)|~in(X1,sk0_4(powerset(X0)))|~empty(X2))),
% 1.64/0.59 inference(resolution,[status(thm)],[f728,f719])).
% 1.64/0.59 fof(f1361,plain,(
% 1.64/0.59 spl0_113|spl0_95),
% 1.64/0.59 inference(split_clause,[status(thm)],[f1360,f1357,f1172])).
% 1.64/0.59 fof(f1370,plain,(
% 1.64/0.59 $false|~spl0_95),
% 1.64/0.59 inference(backward_subsumption_resolution,[status(thm)],[f93,f1173])).
% 1.64/0.59 fof(f1371,plain,(
% 1.64/0.59 ~spl0_95),
% 1.64/0.59 inference(contradiction_clause,[status(thm)],[f1370])).
% 1.64/0.59 fof(f2005,plain,(
% 1.64/0.59 epsilon_connected(sk0_18)|~ordinal(sk0_1(sk0_18))|~spl0_45),
% 1.64/0.59 inference(resolution,[status(thm)],[f1116,f653])).
% 1.64/0.59 fof(f2006,plain,(
% 1.64/0.59 spl0_41|~spl0_42|~spl0_45),
% 1.64/0.59 inference(split_clause,[status(thm)],[f2005,f617,f620,f652])).
% 1.64/0.59 fof(f2007,plain,(
% 1.64/0.59 $false),
% 1.64/0.59 inference(sat_refutation,[status(thm)],[f196,f356,f358,f416,f438,f446,f448,f450,f503,f505,f531,f542,f624,f633,f656,f779,f848,f1176,f1361,f1371,f2006])).
% 1.64/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 1.64/0.60 % Elapsed time: 0.241953 seconds
% 1.64/0.60 % CPU time: 1.774449 seconds
% 1.64/0.60 % Total memory used: 73.783 MB
% 1.64/0.60 % Net memory used: 72.458 MB
%------------------------------------------------------------------------------