TSTP Solution File: SEU367+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU367+1 : TPTP v8.1.2. Released v3.3.0.
% 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 12:36:50 EDT 2023
% Result : Theorem 0.10s 0.43s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : SEU367+1 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n018.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 09:26:40 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 0.10/0.43 % Refutation found
% 0.10/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.43 fof(f1,axiom,(
% 0.10/0.43 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f2,axiom,(
% 0.10/0.43 (! [A] :( empty(A)=> finite(A) ) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f5,axiom,(
% 0.10/0.43 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (! [B] :( ( ~ empty_carrier(B)& net_str(B,A) )=> (! [C] :( is_eventually_in(A,B,C)<=> (? [D] :( element(D,the_carrier(B))& (! [E] :( element(E,the_carrier(B))=> ( related(B,D,E)=> in(apply_netmap(A,B,E),C) ) ) )) )) )) )) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f6,axiom,(
% 0.10/0.43 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (! [B] :( ( ~ empty_carrier(B)& net_str(B,A) )=> (! [C] :( is_often_in(A,B,C)<=> (! [D] :( element(D,the_carrier(B))=> (? [E] :( element(E,the_carrier(B))& related(B,D,E)& in(apply_netmap(A,B,E),C) ) )) )) )) )) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f16,axiom,(
% 0.10/0.43 (! [A] :( one_sorted_str(A)=> (! [B] :( net_str(B,A)=> rel_str(B) ) )) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f26,axiom,(
% 0.10/0.43 (! [A] :(? [B] : element(B,A) ))),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f30,axiom,(
% 0.10/0.43 (! [A] : ~ empty(powerset(A)) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f31,axiom,(
% 0.10/0.43 empty(empty_set) ),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f33,axiom,(
% 0.10/0.43 (? [A] :( ~ empty(A)& finite(A) ) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f36,axiom,(
% 0.10/0.43 (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f46,axiom,(
% 0.10/0.43 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f47,axiom,(
% 0.10/0.43 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f48,axiom,(
% 0.10/0.43 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f49,axiom,(
% 0.10/0.43 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f50,axiom,(
% 0.10/0.43 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f51,axiom,(
% 0.10/0.43 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f52,axiom,(
% 0.10/0.43 (! [A,B] :~ ( empty(A)& A != B& empty(B) ) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f53,conjecture,(
% 0.10/0.43 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (! [B] :( ( ~ empty_carrier(B)& net_str(B,A) )=> (! [C,D] :( subset(C,D)=> ( ( is_eventually_in(A,B,C)=> is_eventually_in(A,B,D) )& ( is_often_in(A,B,C)=> is_often_in(A,B,D) ) ) ) )) )) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f54,negated_conjecture,(
% 0.10/0.43 ~((! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (! [B] :( ( ~ empty_carrier(B)& net_str(B,A) )=> (! [C,D] :( subset(C,D)=> ( ( is_eventually_in(A,B,C)=> is_eventually_in(A,B,D) )& ( is_often_in(A,B,C)=> is_often_in(A,B,D) ) ) ) )) )) ))),
% 0.10/0.43 inference(negated_conjecture,[status(cth)],[f53])).
% 0.10/0.43 fof(f55,plain,(
% 0.10/0.43 ![A,B]: (~in(A,B)|~in(B,A))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.10/0.43 fof(f56,plain,(
% 0.10/0.43 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f55])).
% 0.10/0.43 fof(f57,plain,(
% 0.10/0.43 ![A]: (~empty(A)|finite(A))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.10/0.43 fof(f58,plain,(
% 0.10/0.43 ![X0]: (~empty(X0)|finite(X0))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f57])).
% 0.10/0.43 fof(f64,plain,(
% 0.10/0.43 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(![B]: ((empty_carrier(B)|~net_str(B,A))|(![C]: (is_eventually_in(A,B,C)<=>(?[D]: (element(D,the_carrier(B))&(![E]: (~element(E,the_carrier(B))|(~related(B,D,E)|in(apply_netmap(A,B,E),C)))))))))))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.10/0.43 fof(f65,plain,(
% 0.10/0.43 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(![B]: ((empty_carrier(B)|~net_str(B,A))|(![C]: ((~is_eventually_in(A,B,C)|(?[D]: (element(D,the_carrier(B))&(![E]: (~element(E,the_carrier(B))|(~related(B,D,E)|in(apply_netmap(A,B,E),C)))))))&(is_eventually_in(A,B,C)|(![D]: (~element(D,the_carrier(B))|(?[E]: (element(E,the_carrier(B))&(related(B,D,E)&~in(apply_netmap(A,B,E),C))))))))))))),
% 0.10/0.43 inference(NNF_transformation,[status(esa)],[f64])).
% 0.10/0.43 fof(f66,plain,(
% 0.10/0.43 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(![B]: ((empty_carrier(B)|~net_str(B,A))|((![C]: (~is_eventually_in(A,B,C)|(?[D]: (element(D,the_carrier(B))&(![E]: (~element(E,the_carrier(B))|(~related(B,D,E)|in(apply_netmap(A,B,E),C))))))))&(![C]: (is_eventually_in(A,B,C)|(![D]: (~element(D,the_carrier(B))|(?[E]: (element(E,the_carrier(B))&(related(B,D,E)&~in(apply_netmap(A,B,E),C))))))))))))),
% 0.10/0.43 inference(miniscoping,[status(esa)],[f65])).
% 0.10/0.43 fof(f67,plain,(
% 0.10/0.43 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(![B]: ((empty_carrier(B)|~net_str(B,A))|((![C]: (~is_eventually_in(A,B,C)|(element(sk0_0(C,B,A),the_carrier(B))&(![E]: (~element(E,the_carrier(B))|(~related(B,sk0_0(C,B,A),E)|in(apply_netmap(A,B,E),C)))))))&(![C]: (is_eventually_in(A,B,C)|(![D]: (~element(D,the_carrier(B))|(element(sk0_1(D,C,B,A),the_carrier(B))&(related(B,D,sk0_1(D,C,B,A))&~in(apply_netmap(A,B,sk0_1(D,C,B,A)),C)))))))))))),
% 0.10/0.43 inference(skolemization,[status(esa)],[f66])).
% 0.10/0.43 fof(f68,plain,(
% 0.10/0.43 ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_eventually_in(X0,X1,X2)|element(sk0_0(X2,X1,X0),the_carrier(X1)))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f67])).
% 0.10/0.43 fof(f69,plain,(
% 0.10/0.43 ![X0,X1,X2,X3]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_eventually_in(X0,X1,X2)|~element(X3,the_carrier(X1))|~related(X1,sk0_0(X2,X1,X0),X3)|in(apply_netmap(X0,X1,X3),X2))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f67])).
% 0.10/0.43 fof(f70,plain,(
% 0.10/0.43 ![X0,X1,X2,X3]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|is_eventually_in(X0,X1,X2)|~element(X3,the_carrier(X1))|element(sk0_1(X3,X2,X1,X0),the_carrier(X1)))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f67])).
% 0.10/0.43 fof(f71,plain,(
% 0.10/0.43 ![X0,X1,X2,X3]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|is_eventually_in(X0,X1,X2)|~element(X3,the_carrier(X1))|related(X1,X3,sk0_1(X3,X2,X1,X0)))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f67])).
% 0.10/0.43 fof(f72,plain,(
% 0.10/0.43 ![X0,X1,X2,X3]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|is_eventually_in(X0,X1,X2)|~element(X3,the_carrier(X1))|~in(apply_netmap(X0,X1,sk0_1(X3,X2,X1,X0)),X2))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f67])).
% 0.10/0.43 fof(f73,plain,(
% 0.10/0.43 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(![B]: ((empty_carrier(B)|~net_str(B,A))|(![C]: (is_often_in(A,B,C)<=>(![D]: (~element(D,the_carrier(B))|(?[E]: ((element(E,the_carrier(B))&related(B,D,E))&in(apply_netmap(A,B,E),C))))))))))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.10/0.43 fof(f74,plain,(
% 0.10/0.43 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(![B]: ((empty_carrier(B)|~net_str(B,A))|(![C]: ((~is_often_in(A,B,C)|(![D]: (~element(D,the_carrier(B))|(?[E]: ((element(E,the_carrier(B))&related(B,D,E))&in(apply_netmap(A,B,E),C))))))&(is_often_in(A,B,C)|(?[D]: (element(D,the_carrier(B))&(![E]: ((~element(E,the_carrier(B))|~related(B,D,E))|~in(apply_netmap(A,B,E),C)))))))))))),
% 0.10/0.43 inference(NNF_transformation,[status(esa)],[f73])).
% 0.10/0.43 fof(f75,plain,(
% 0.10/0.43 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(![B]: ((empty_carrier(B)|~net_str(B,A))|((![C]: (~is_often_in(A,B,C)|(![D]: (~element(D,the_carrier(B))|(?[E]: ((element(E,the_carrier(B))&related(B,D,E))&in(apply_netmap(A,B,E),C)))))))&(![C]: (is_often_in(A,B,C)|(?[D]: (element(D,the_carrier(B))&(![E]: ((~element(E,the_carrier(B))|~related(B,D,E))|~in(apply_netmap(A,B,E),C)))))))))))),
% 0.10/0.43 inference(miniscoping,[status(esa)],[f74])).
% 0.10/0.43 fof(f76,plain,(
% 0.10/0.43 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(![B]: ((empty_carrier(B)|~net_str(B,A))|((![C]: (~is_often_in(A,B,C)|(![D]: (~element(D,the_carrier(B))|((element(sk0_2(D,C,B,A),the_carrier(B))&related(B,D,sk0_2(D,C,B,A)))&in(apply_netmap(A,B,sk0_2(D,C,B,A)),C))))))&(![C]: (is_often_in(A,B,C)|(element(sk0_3(C,B,A),the_carrier(B))&(![E]: ((~element(E,the_carrier(B))|~related(B,sk0_3(C,B,A),E))|~in(apply_netmap(A,B,E),C))))))))))),
% 0.10/0.43 inference(skolemization,[status(esa)],[f75])).
% 0.10/0.43 fof(f77,plain,(
% 0.10/0.43 ![X0,X1,X2,X3]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_often_in(X0,X1,X2)|~element(X3,the_carrier(X1))|element(sk0_2(X3,X2,X1,X0),the_carrier(X1)))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f76])).
% 0.10/0.43 fof(f78,plain,(
% 0.10/0.43 ![X0,X1,X2,X3]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_often_in(X0,X1,X2)|~element(X3,the_carrier(X1))|related(X1,X3,sk0_2(X3,X2,X1,X0)))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f76])).
% 0.10/0.43 fof(f79,plain,(
% 0.10/0.43 ![X0,X1,X2,X3]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_often_in(X0,X1,X2)|~element(X3,the_carrier(X1))|in(apply_netmap(X0,X1,sk0_2(X3,X2,X1,X0)),X2))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f76])).
% 0.10/0.43 fof(f80,plain,(
% 0.10/0.43 ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|is_often_in(X0,X1,X2)|element(sk0_3(X2,X1,X0),the_carrier(X1)))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f76])).
% 0.10/0.43 fof(f81,plain,(
% 0.10/0.43 ![X0,X1,X2,X3]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|is_often_in(X0,X1,X2)|~element(X3,the_carrier(X1))|~related(X1,sk0_3(X2,X1,X0),X3)|~in(apply_netmap(X0,X1,X3),X2))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f76])).
% 0.10/0.43 fof(f90,plain,(
% 0.10/0.43 ![A]: (~one_sorted_str(A)|(![B]: (~net_str(B,A)|rel_str(B))))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.10/0.43 fof(f91,plain,(
% 0.10/0.43 ![X0,X1]: (~one_sorted_str(X0)|~net_str(X1,X0)|rel_str(X1))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f90])).
% 0.10/0.43 fof(f107,plain,(
% 0.10/0.43 ![A]: element(sk0_8(A),A)),
% 0.10/0.43 inference(skolemization,[status(esa)],[f26])).
% 0.10/0.43 fof(f108,plain,(
% 0.10/0.43 ![X0]: (element(sk0_8(X0),X0))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f107])).
% 0.10/0.43 fof(f115,plain,(
% 0.10/0.43 ![X0]: (~empty(powerset(X0)))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f30])).
% 0.10/0.43 fof(f116,plain,(
% 0.10/0.43 empty(empty_set)),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f31])).
% 0.10/0.43 fof(f119,plain,(
% 0.10/0.43 (~empty(sk0_10)&finite(sk0_10))),
% 0.10/0.43 inference(skolemization,[status(esa)],[f33])).
% 0.10/0.43 fof(f121,plain,(
% 0.10/0.43 finite(sk0_10)),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f119])).
% 0.10/0.43 fof(f128,plain,(
% 0.10/0.43 ![A]: (element(sk0_13(A),powerset(A))&empty(sk0_13(A)))),
% 0.10/0.43 inference(skolemization,[status(esa)],[f36])).
% 0.10/0.43 fof(f129,plain,(
% 0.10/0.43 ![X0]: (element(sk0_13(X0),powerset(X0)))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f128])).
% 0.10/0.43 fof(f130,plain,(
% 0.10/0.43 ![X0]: (empty(sk0_13(X0)))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f128])).
% 0.10/0.43 fof(f160,plain,(
% 0.10/0.43 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 0.10/0.43 fof(f161,plain,(
% 0.10/0.43 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f160])).
% 0.10/0.43 fof(f162,plain,(
% 0.10/0.43 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.10/0.43 inference(NNF_transformation,[status(esa)],[f47])).
% 0.10/0.43 fof(f163,plain,(
% 0.10/0.43 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.10/0.43 inference(miniscoping,[status(esa)],[f162])).
% 0.10/0.43 fof(f164,plain,(
% 0.10/0.43 ![X0,X1]: (~element(X0,powerset(X1))|subset(X0,X1))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f163])).
% 0.10/0.43 fof(f165,plain,(
% 0.10/0.43 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f163])).
% 0.10/0.43 fof(f166,plain,(
% 0.10/0.43 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 0.10/0.43 fof(f167,plain,(
% 0.10/0.43 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 0.10/0.43 inference(miniscoping,[status(esa)],[f166])).
% 0.10/0.43 fof(f168,plain,(
% 0.10/0.43 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f167])).
% 0.10/0.43 fof(f169,plain,(
% 0.10/0.43 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 0.10/0.43 fof(f170,plain,(
% 0.10/0.43 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 0.10/0.43 inference(miniscoping,[status(esa)],[f169])).
% 0.10/0.43 fof(f171,plain,(
% 0.10/0.43 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f170])).
% 0.10/0.43 fof(f172,plain,(
% 0.10/0.43 ![A]: (~empty(A)|A=empty_set)),
% 0.10/0.43 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 0.10/0.43 fof(f173,plain,(
% 0.10/0.43 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f172])).
% 0.10/0.43 fof(f174,plain,(
% 0.10/0.43 ![A,B]: (~in(A,B)|~empty(B))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(esa)],[f51])).
% 0.10/0.43 fof(f175,plain,(
% 0.10/0.43 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 0.10/0.43 inference(miniscoping,[status(esa)],[f174])).
% 0.10/0.43 fof(f176,plain,(
% 0.10/0.43 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f175])).
% 0.10/0.43 fof(f177,plain,(
% 0.10/0.43 ![A,B]: ((~empty(A)|A=B)|~empty(B))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 0.10/0.43 fof(f178,plain,(
% 0.10/0.43 ![B]: ((![A]: (~empty(A)|A=B))|~empty(B))),
% 0.10/0.43 inference(miniscoping,[status(esa)],[f177])).
% 0.10/0.43 fof(f179,plain,(
% 0.10/0.43 ![X0,X1]: (~empty(X0)|X0=X1|~empty(X1))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f178])).
% 0.10/0.43 fof(f180,plain,(
% 0.10/0.43 (?[A]: ((~empty_carrier(A)&one_sorted_str(A))&(?[B]: ((~empty_carrier(B)&net_str(B,A))&(?[C,D]: (subset(C,D)&((is_eventually_in(A,B,C)&~is_eventually_in(A,B,D))|(is_often_in(A,B,C)&~is_often_in(A,B,D)))))))))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 0.10/0.43 fof(f181,plain,(
% 0.10/0.43 ![A,B,C,D]: (pd0_0(D,C,B,A)=>(is_eventually_in(A,B,C)&~is_eventually_in(A,B,D)))),
% 0.10/0.43 introduced(predicate_definition,[f180])).
% 0.10/0.43 fof(f182,plain,(
% 0.10/0.43 ?[A]: ((~empty_carrier(A)&one_sorted_str(A))&(?[B]: ((~empty_carrier(B)&net_str(B,A))&(?[C,D]: (subset(C,D)&(pd0_0(D,C,B,A)|(is_often_in(A,B,C)&~is_often_in(A,B,D))))))))),
% 0.10/0.43 inference(formula_renaming,[status(thm)],[f180,f181])).
% 0.10/0.43 fof(f183,plain,(
% 0.10/0.43 ((~empty_carrier(sk0_19)&one_sorted_str(sk0_19))&((~empty_carrier(sk0_20)&net_str(sk0_20,sk0_19))&(subset(sk0_21,sk0_22)&(pd0_0(sk0_22,sk0_21,sk0_20,sk0_19)|(is_often_in(sk0_19,sk0_20,sk0_21)&~is_often_in(sk0_19,sk0_20,sk0_22))))))),
% 0.10/0.43 inference(skolemization,[status(esa)],[f182])).
% 0.10/0.43 fof(f184,plain,(
% 0.10/0.43 ~empty_carrier(sk0_19)),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f183])).
% 0.10/0.43 fof(f185,plain,(
% 0.10/0.43 one_sorted_str(sk0_19)),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f183])).
% 0.10/0.43 fof(f186,plain,(
% 0.10/0.43 ~empty_carrier(sk0_20)),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f183])).
% 0.10/0.43 fof(f187,plain,(
% 0.10/0.43 net_str(sk0_20,sk0_19)),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f183])).
% 0.10/0.43 fof(f188,plain,(
% 0.10/0.43 subset(sk0_21,sk0_22)),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f183])).
% 0.10/0.43 fof(f189,plain,(
% 0.10/0.43 pd0_0(sk0_22,sk0_21,sk0_20,sk0_19)|is_often_in(sk0_19,sk0_20,sk0_21)),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f183])).
% 0.10/0.43 fof(f190,plain,(
% 0.10/0.43 pd0_0(sk0_22,sk0_21,sk0_20,sk0_19)|~is_often_in(sk0_19,sk0_20,sk0_22)),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f183])).
% 0.10/0.43 fof(f191,plain,(
% 0.10/0.43 ![A,B,C,D]: (~pd0_0(D,C,B,A)|(is_eventually_in(A,B,C)&~is_eventually_in(A,B,D)))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(esa)],[f181])).
% 0.10/0.43 fof(f192,plain,(
% 0.10/0.43 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|is_eventually_in(X3,X2,X1))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f191])).
% 0.10/0.43 fof(f193,plain,(
% 0.10/0.43 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|~is_eventually_in(X3,X2,X0))),
% 0.10/0.43 inference(cnf_transformation,[status(esa)],[f191])).
% 0.10/0.43 fof(f194,plain,(
% 0.10/0.43 spl0_0 <=> pd0_0(sk0_22,sk0_21,sk0_20,sk0_19)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f195,plain,(
% 0.10/0.43 pd0_0(sk0_22,sk0_21,sk0_20,sk0_19)|~spl0_0),
% 0.10/0.43 inference(component_clause,[status(thm)],[f194])).
% 0.10/0.43 fof(f197,plain,(
% 0.10/0.43 spl0_1 <=> is_often_in(sk0_19,sk0_20,sk0_21)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f198,plain,(
% 0.10/0.43 is_often_in(sk0_19,sk0_20,sk0_21)|~spl0_1),
% 0.10/0.43 inference(component_clause,[status(thm)],[f197])).
% 0.10/0.43 fof(f200,plain,(
% 0.10/0.43 spl0_0|spl0_1),
% 0.10/0.43 inference(split_clause,[status(thm)],[f189,f194,f197])).
% 0.10/0.43 fof(f201,plain,(
% 0.10/0.43 spl0_2 <=> is_often_in(sk0_19,sk0_20,sk0_22)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f204,plain,(
% 0.10/0.43 spl0_0|~spl0_2),
% 0.10/0.43 inference(split_clause,[status(thm)],[f190,f194,f201])).
% 0.10/0.43 fof(f205,plain,(
% 0.10/0.43 ~is_eventually_in(sk0_19,sk0_20,sk0_22)|~spl0_0),
% 0.10/0.43 inference(resolution,[status(thm)],[f195,f193])).
% 0.10/0.43 fof(f206,plain,(
% 0.10/0.43 is_eventually_in(sk0_19,sk0_20,sk0_21)|~spl0_0),
% 0.10/0.43 inference(resolution,[status(thm)],[f195,f192])).
% 0.10/0.43 fof(f209,plain,(
% 0.10/0.43 ![X0]: (subset(sk0_8(powerset(X0)),X0))),
% 0.10/0.43 inference(resolution,[status(thm)],[f108,f164])).
% 0.10/0.43 fof(f212,plain,(
% 0.10/0.43 ![X0]: (subset(sk0_13(X0),X0))),
% 0.10/0.43 inference(resolution,[status(thm)],[f129,f164])).
% 0.10/0.43 fof(f222,plain,(
% 0.10/0.43 spl0_3 <=> one_sorted_str(sk0_19)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f224,plain,(
% 0.10/0.43 ~one_sorted_str(sk0_19)|spl0_3),
% 0.10/0.43 inference(component_clause,[status(thm)],[f222])).
% 0.10/0.43 fof(f225,plain,(
% 0.10/0.43 spl0_4 <=> rel_str(sk0_20)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f228,plain,(
% 0.10/0.43 ~one_sorted_str(sk0_19)|rel_str(sk0_20)),
% 0.10/0.43 inference(resolution,[status(thm)],[f91,f187])).
% 0.10/0.43 fof(f229,plain,(
% 0.10/0.43 ~spl0_3|spl0_4),
% 0.10/0.43 inference(split_clause,[status(thm)],[f228,f222,f225])).
% 0.10/0.43 fof(f230,plain,(
% 0.10/0.43 $false|spl0_3),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f224,f185])).
% 0.10/0.43 fof(f231,plain,(
% 0.10/0.43 spl0_3),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f230])).
% 0.10/0.43 fof(f234,plain,(
% 0.10/0.43 ![X0]: (empty(X0)|in(sk0_8(X0),X0))),
% 0.10/0.43 inference(resolution,[status(thm)],[f161,f108])).
% 0.10/0.43 fof(f241,plain,(
% 0.10/0.43 ![X0]: (empty(X0)|~in(X0,sk0_8(X0)))),
% 0.10/0.43 inference(resolution,[status(thm)],[f234,f56])).
% 0.10/0.43 fof(f257,plain,(
% 0.10/0.43 ![X0,X1,X2]: (~in(X0,X1)|~empty(X2)|~subset(X1,X2))),
% 0.10/0.43 inference(resolution,[status(thm)],[f171,f165])).
% 0.10/0.43 fof(f258,plain,(
% 0.10/0.43 ![X0,X1]: (~in(X0,sk0_13(X1))|~empty(X1))),
% 0.10/0.43 inference(resolution,[status(thm)],[f257,f212])).
% 0.10/0.43 fof(f259,plain,(
% 0.10/0.43 ![X0,X1]: (~in(X0,sk0_8(powerset(X1)))|~empty(X1))),
% 0.10/0.43 inference(resolution,[status(thm)],[f257,f209])).
% 0.10/0.43 fof(f260,plain,(
% 0.10/0.43 spl0_7 <=> ~in(X0,sk0_21)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f261,plain,(
% 0.10/0.43 ![X0]: (~in(X0,sk0_21)|~spl0_7)),
% 0.10/0.43 inference(component_clause,[status(thm)],[f260])).
% 0.10/0.43 fof(f263,plain,(
% 0.10/0.43 spl0_8 <=> empty(sk0_22)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f264,plain,(
% 0.10/0.43 empty(sk0_22)|~spl0_8),
% 0.10/0.43 inference(component_clause,[status(thm)],[f263])).
% 0.10/0.43 fof(f266,plain,(
% 0.10/0.43 ![X0]: (~in(X0,sk0_21)|~empty(sk0_22))),
% 0.10/0.43 inference(resolution,[status(thm)],[f257,f188])).
% 0.10/0.43 fof(f267,plain,(
% 0.10/0.43 spl0_7|~spl0_8),
% 0.10/0.43 inference(split_clause,[status(thm)],[f266,f260,f263])).
% 0.10/0.43 fof(f269,plain,(
% 0.10/0.43 ![X0]: (~empty(X0)|empty(sk0_13(X0)))),
% 0.10/0.43 inference(resolution,[status(thm)],[f258,f234])).
% 0.10/0.43 fof(f270,plain,(
% 0.10/0.43 ![X0]: (~empty(X0)|empty(sk0_8(powerset(X0))))),
% 0.10/0.43 inference(resolution,[status(thm)],[f259,f234])).
% 0.10/0.43 fof(f273,plain,(
% 0.10/0.43 ![X0]: (~empty(X0)|finite(sk0_13(X0)))),
% 0.10/0.43 inference(resolution,[status(thm)],[f269,f58])).
% 0.10/0.43 fof(f279,plain,(
% 0.10/0.43 ![X0,X1,X2]: (~in(X0,X1)|element(X0,X2)|~subset(X1,X2))),
% 0.10/0.43 inference(resolution,[status(thm)],[f168,f165])).
% 0.10/0.43 fof(f280,plain,(
% 0.10/0.43 ![X0,X1]: (~in(X0,sk0_13(X1))|element(X0,X1))),
% 0.10/0.43 inference(resolution,[status(thm)],[f279,f212])).
% 0.10/0.43 fof(f281,plain,(
% 0.10/0.43 ![X0,X1]: (~in(X0,sk0_8(powerset(X1)))|element(X0,X1))),
% 0.10/0.43 inference(resolution,[status(thm)],[f279,f209])).
% 0.10/0.43 fof(f282,plain,(
% 0.10/0.43 ![X0]: (~in(X0,sk0_21)|element(X0,sk0_22))),
% 0.10/0.43 inference(resolution,[status(thm)],[f279,f188])).
% 0.10/0.43 fof(f284,plain,(
% 0.10/0.43 ![X0]: (element(sk0_8(sk0_13(X0)),X0)|empty(sk0_13(X0)))),
% 0.10/0.43 inference(resolution,[status(thm)],[f280,f234])).
% 0.10/0.43 fof(f288,plain,(
% 0.10/0.43 spl0_10 <=> empty(sk0_21)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f289,plain,(
% 0.10/0.43 empty(sk0_21)|~spl0_10),
% 0.10/0.43 inference(component_clause,[status(thm)],[f288])).
% 0.10/0.43 fof(f299,plain,(
% 0.10/0.43 sk0_21=empty_set|~spl0_10),
% 0.10/0.43 inference(resolution,[status(thm)],[f289,f173])).
% 0.10/0.43 fof(f303,plain,(
% 0.10/0.43 is_eventually_in(sk0_19,sk0_20,empty_set)|~spl0_10|~spl0_0),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f299,f206])).
% 0.10/0.43 fof(f304,plain,(
% 0.10/0.43 pd0_0(sk0_22,empty_set,sk0_20,sk0_19)|~spl0_10|~spl0_0),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f299,f195])).
% 0.10/0.43 fof(f314,plain,(
% 0.10/0.43 spl0_12 <=> ~in(X0,empty_set)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f315,plain,(
% 0.10/0.43 ![X0]: (~in(X0,empty_set)|~spl0_12)),
% 0.10/0.43 inference(component_clause,[status(thm)],[f314])).
% 0.10/0.43 fof(f319,plain,(
% 0.10/0.43 spl0_13 <=> finite(empty_set)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f328,plain,(
% 0.10/0.43 spl0_15 <=> empty(empty_set)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f330,plain,(
% 0.10/0.43 ~empty(empty_set)|spl0_15),
% 0.10/0.43 inference(component_clause,[status(thm)],[f328])).
% 0.10/0.43 fof(f343,plain,(
% 0.10/0.43 ![X0]: (element(sk0_8(sk0_8(powerset(X0))),X0)|empty(sk0_8(powerset(X0))))),
% 0.10/0.43 inference(resolution,[status(thm)],[f281,f234])).
% 0.10/0.43 fof(f349,plain,(
% 0.10/0.43 ![X0]: (empty(sk0_13(X0))|empty(X0)|in(sk0_8(sk0_13(X0)),X0))),
% 0.10/0.43 inference(resolution,[status(thm)],[f284,f161])).
% 0.10/0.43 fof(f350,plain,(
% 0.10/0.43 ![X0]: (empty(sk0_13(X0))|in(sk0_8(sk0_13(X0)),X0))),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f349,f269])).
% 0.10/0.43 fof(f353,plain,(
% 0.10/0.43 ![X0]: (empty(sk0_13(sk0_13(X0)))|~empty(X0))),
% 0.10/0.43 inference(resolution,[status(thm)],[f350,f258])).
% 0.10/0.43 fof(f359,plain,(
% 0.10/0.43 ![X0,X1]: (~empty(X0)|~empty(X1)|X1=sk0_13(sk0_13(X0)))),
% 0.10/0.43 inference(resolution,[status(thm)],[f353,f179])).
% 0.10/0.43 fof(f360,plain,(
% 0.10/0.43 ![X0]: (~empty(X0)|sk0_13(sk0_13(X0))=empty_set)),
% 0.10/0.43 inference(resolution,[status(thm)],[f353,f173])).
% 0.10/0.43 fof(f374,plain,(
% 0.10/0.43 ![X0]: (empty(sk0_8(powerset(X0)))|empty(X0)|in(sk0_8(sk0_8(powerset(X0))),X0))),
% 0.10/0.43 inference(resolution,[status(thm)],[f343,f161])).
% 0.10/0.43 fof(f375,plain,(
% 0.10/0.43 ![X0]: (empty(sk0_8(powerset(X0)))|in(sk0_8(sk0_8(powerset(X0))),X0))),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f374,f270])).
% 0.10/0.43 fof(f399,plain,(
% 0.10/0.43 ![X0,X1,X2,X3,X4]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_eventually_in(X0,X1,X2)|~element(sk0_1(sk0_0(X2,X1,X0),X3,X1,X4),the_carrier(X1))|in(apply_netmap(X0,X1,sk0_1(sk0_0(X2,X1,X0),X3,X1,X4)),X2)|empty_carrier(X4)|~one_sorted_str(X4)|empty_carrier(X1)|~net_str(X1,X4)|is_eventually_in(X4,X1,X3)|~element(sk0_0(X2,X1,X0),the_carrier(X1)))),
% 0.10/0.43 inference(resolution,[status(thm)],[f69,f71])).
% 0.10/0.43 fof(f400,plain,(
% 0.10/0.43 ![X0,X1,X2,X3,X4]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_eventually_in(X0,X1,X2)|~element(sk0_1(sk0_0(X2,X1,X0),X3,X1,X4),the_carrier(X1))|in(apply_netmap(X0,X1,sk0_1(sk0_0(X2,X1,X0),X3,X1,X4)),X2)|empty_carrier(X4)|~one_sorted_str(X4)|~net_str(X1,X4)|is_eventually_in(X4,X1,X3)|~element(sk0_0(X2,X1,X0),the_carrier(X1)))),
% 0.10/0.43 inference(duplicate_literals_removal,[status(esa)],[f399])).
% 0.10/0.43 fof(f401,plain,(
% 0.10/0.43 ![X0,X1,X2,X3,X4]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|is_often_in(X0,X1,X2)|~element(sk0_2(sk0_3(X2,X1,X0),X3,X1,X4),the_carrier(X1))|~in(apply_netmap(X0,X1,sk0_2(sk0_3(X2,X1,X0),X3,X1,X4)),X2)|empty_carrier(X4)|~one_sorted_str(X4)|empty_carrier(X1)|~net_str(X1,X4)|~is_often_in(X4,X1,X3)|~element(sk0_3(X2,X1,X0),the_carrier(X1)))),
% 0.10/0.43 inference(resolution,[status(thm)],[f81,f78])).
% 0.10/0.43 fof(f402,plain,(
% 0.10/0.43 ![X0,X1,X2,X3,X4]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|is_often_in(X0,X1,X2)|~element(sk0_2(sk0_3(X2,X1,X0),X3,X1,X4),the_carrier(X1))|~in(apply_netmap(X0,X1,sk0_2(sk0_3(X2,X1,X0),X3,X1,X4)),X2)|empty_carrier(X4)|~one_sorted_str(X4)|~net_str(X1,X4)|~is_often_in(X4,X1,X3)|~element(sk0_3(X2,X1,X0),the_carrier(X1)))),
% 0.10/0.43 inference(duplicate_literals_removal,[status(esa)],[f401])).
% 0.10/0.43 fof(f413,plain,(
% 0.10/0.43 ![X0]: (sk0_13(X0)=empty_set)),
% 0.10/0.43 inference(resolution,[status(thm)],[f130,f173])).
% 0.10/0.43 fof(f415,plain,(
% 0.10/0.43 spl0_17 <=> ~empty(X0)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f416,plain,(
% 0.10/0.43 ![X0]: (~empty(X0)|~spl0_17)),
% 0.10/0.43 inference(component_clause,[status(thm)],[f415])).
% 0.10/0.43 fof(f418,plain,(
% 0.10/0.43 spl0_18 <=> ~empty(X1)|X1=empty_set),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f421,plain,(
% 0.10/0.43 ![X0,X1]: (~empty(X0)|~empty(X1)|X1=empty_set)),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f413,f359])).
% 0.10/0.43 fof(f422,plain,(
% 0.10/0.43 spl0_17|spl0_18),
% 0.10/0.43 inference(split_clause,[status(thm)],[f421,f415,f418])).
% 0.10/0.43 fof(f423,plain,(
% 0.10/0.43 spl0_19 <=> empty_set=empty_set),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f426,plain,(
% 0.10/0.43 ![X0]: (~empty(X0)|empty_set=empty_set)),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f413,f360])).
% 0.10/0.43 fof(f427,plain,(
% 0.10/0.43 spl0_17|spl0_19),
% 0.10/0.43 inference(split_clause,[status(thm)],[f426,f415,f423])).
% 0.10/0.43 fof(f430,plain,(
% 0.10/0.43 ![X0]: (~empty(X0)|finite(empty_set))),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f413,f273])).
% 0.10/0.43 fof(f431,plain,(
% 0.10/0.43 spl0_17|spl0_13),
% 0.10/0.43 inference(split_clause,[status(thm)],[f430,f415,f319])).
% 0.10/0.43 fof(f436,plain,(
% 0.10/0.43 ![X0,X1]: (~in(X0,empty_set)|~empty(X1))),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f413,f258])).
% 0.10/0.43 fof(f437,plain,(
% 0.10/0.43 spl0_12|spl0_17),
% 0.10/0.43 inference(split_clause,[status(thm)],[f436,f314,f415])).
% 0.10/0.43 fof(f438,plain,(
% 0.10/0.43 spl0_20 <=> ~finite(X0)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f439,plain,(
% 0.10/0.43 ![X0]: (~finite(X0)|~spl0_20)),
% 0.10/0.43 inference(component_clause,[status(thm)],[f438])).
% 0.10/0.43 fof(f451,plain,(
% 0.10/0.43 $false|~spl0_17),
% 0.10/0.43 inference(backward_subsumption_resolution,[status(thm)],[f116,f416])).
% 0.10/0.43 fof(f452,plain,(
% 0.10/0.43 ~spl0_17),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f451])).
% 0.10/0.43 fof(f453,plain,(
% 0.10/0.43 $false|~spl0_20),
% 0.10/0.43 inference(backward_subsumption_resolution,[status(thm)],[f121,f439])).
% 0.10/0.43 fof(f454,plain,(
% 0.10/0.43 ~spl0_20),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f453])).
% 0.10/0.43 fof(f497,plain,(
% 0.10/0.43 ![X0,X1,X2,X3]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_often_in(X0,X1,X2)|~element(X3,the_carrier(X1))|~empty(X2))),
% 0.10/0.43 inference(resolution,[status(thm)],[f79,f176])).
% 0.10/0.43 fof(f510,plain,(
% 0.10/0.43 spl0_21 <=> empty_carrier(sk0_19)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f511,plain,(
% 0.10/0.43 empty_carrier(sk0_19)|~spl0_21),
% 0.10/0.43 inference(component_clause,[status(thm)],[f510])).
% 0.10/0.43 fof(f513,plain,(
% 0.10/0.43 spl0_22 <=> empty_carrier(sk0_20)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f514,plain,(
% 0.10/0.43 empty_carrier(sk0_20)|~spl0_22),
% 0.10/0.43 inference(component_clause,[status(thm)],[f513])).
% 0.10/0.43 fof(f516,plain,(
% 0.10/0.43 spl0_23 <=> net_str(sk0_20,sk0_19)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f518,plain,(
% 0.10/0.43 ~net_str(sk0_20,sk0_19)|spl0_23),
% 0.10/0.43 inference(component_clause,[status(thm)],[f516])).
% 0.10/0.43 fof(f519,plain,(
% 0.10/0.43 spl0_24 <=> ~element(X0,the_carrier(sk0_20))),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f520,plain,(
% 0.10/0.43 ![X0]: (~element(X0,the_carrier(sk0_20))|~spl0_24)),
% 0.10/0.43 inference(component_clause,[status(thm)],[f519])).
% 0.10/0.43 fof(f524,plain,(
% 0.10/0.43 $false|spl0_23),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f518,f187])).
% 0.10/0.43 fof(f525,plain,(
% 0.10/0.43 spl0_23),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f524])).
% 0.10/0.43 fof(f526,plain,(
% 0.10/0.43 $false|~spl0_22),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f514,f186])).
% 0.10/0.43 fof(f527,plain,(
% 0.10/0.43 ~spl0_22),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f526])).
% 0.10/0.43 fof(f528,plain,(
% 0.10/0.43 $false|~spl0_21),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f511,f184])).
% 0.10/0.43 fof(f529,plain,(
% 0.10/0.43 ~spl0_21),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f528])).
% 0.10/0.43 fof(f563,plain,(
% 0.10/0.43 $false|~spl0_24),
% 0.10/0.43 inference(resolution,[status(thm)],[f520,f108])).
% 0.10/0.43 fof(f564,plain,(
% 0.10/0.43 ~spl0_24),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f563])).
% 0.10/0.43 fof(f573,plain,(
% 0.10/0.43 sk0_22=empty_set|~spl0_8),
% 0.10/0.43 inference(resolution,[status(thm)],[f264,f173])).
% 0.10/0.43 fof(f581,plain,(
% 0.10/0.43 empty(sk0_21)|~spl0_7),
% 0.10/0.43 inference(resolution,[status(thm)],[f261,f234])).
% 0.10/0.43 fof(f582,plain,(
% 0.10/0.43 spl0_10|~spl0_7),
% 0.10/0.43 inference(split_clause,[status(thm)],[f581,f288,f260])).
% 0.10/0.43 fof(f591,plain,(
% 0.10/0.43 ![X0,X1,X2]: (element(apply_netmap(X0,X1,sk0_2(X2,sk0_21,X1,X0)),sk0_22)|empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_often_in(X0,X1,sk0_21)|~element(X2,the_carrier(X1)))),
% 0.10/0.43 inference(resolution,[status(thm)],[f282,f79])).
% 0.10/0.43 fof(f594,plain,(
% 0.10/0.43 spl0_32 <=> empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_often_in(X0,X1,sk0_21)|~element(X2,the_carrier(X1))|in(apply_netmap(X0,X1,sk0_2(X2,sk0_21,X1,X0)),sk0_22)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f595,plain,(
% 0.10/0.43 ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_often_in(X0,X1,sk0_21)|~element(X2,the_carrier(X1))|in(apply_netmap(X0,X1,sk0_2(X2,sk0_21,X1,X0)),sk0_22)|~spl0_32)),
% 0.10/0.43 inference(component_clause,[status(thm)],[f594])).
% 0.10/0.43 fof(f597,plain,(
% 0.10/0.43 ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_often_in(X0,X1,sk0_21)|~element(X2,the_carrier(X1))|empty(sk0_22)|in(apply_netmap(X0,X1,sk0_2(X2,sk0_21,X1,X0)),sk0_22))),
% 0.10/0.43 inference(resolution,[status(thm)],[f591,f161])).
% 0.10/0.43 fof(f598,plain,(
% 0.10/0.43 spl0_32|spl0_8),
% 0.10/0.43 inference(split_clause,[status(thm)],[f597,f594,f263])).
% 0.10/0.43 fof(f619,plain,(
% 0.10/0.43 ![X0,X1,X2,X3]: (~empty(X0)|empty_carrier(X1)|~one_sorted_str(X1)|empty_carrier(X2)|~net_str(X2,X1)|~is_often_in(X1,X2,sk0_8(powerset(X0)))|~element(X3,the_carrier(X2)))),
% 0.10/0.43 inference(resolution,[status(thm)],[f259,f79])).
% 0.10/0.43 fof(f672,plain,(
% 0.10/0.43 empty(sk0_8(powerset(empty_set)))|~spl0_12),
% 0.10/0.43 inference(resolution,[status(thm)],[f375,f315])).
% 0.10/0.43 fof(f673,plain,(
% 0.10/0.43 ![X0]: (empty(sk0_8(powerset(sk0_8(powerset(X0)))))|~empty(X0))),
% 0.10/0.43 inference(resolution,[status(thm)],[f375,f259])).
% 0.10/0.43 fof(f680,plain,(
% 0.10/0.43 sk0_8(powerset(empty_set))=empty_set|~spl0_12),
% 0.10/0.43 inference(resolution,[status(thm)],[f672,f173])).
% 0.10/0.43 fof(f685,plain,(
% 0.10/0.43 spl0_36 <=> empty(sk0_8(powerset(empty_set)))),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f714,plain,(
% 0.10/0.43 spl0_39 <=> empty(powerset(empty_set))),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f715,plain,(
% 0.10/0.43 empty(powerset(empty_set))|~spl0_39),
% 0.10/0.43 inference(component_clause,[status(thm)],[f714])).
% 0.10/0.43 fof(f717,plain,(
% 0.10/0.43 spl0_40 <=> in(empty_set,powerset(empty_set))),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f720,plain,(
% 0.10/0.43 empty(powerset(empty_set))|in(empty_set,powerset(empty_set))|~spl0_12),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f680,f234])).
% 0.10/0.43 fof(f721,plain,(
% 0.10/0.43 spl0_39|spl0_40|~spl0_12),
% 0.10/0.43 inference(split_clause,[status(thm)],[f720,f714,f717,f314])).
% 0.10/0.43 fof(f722,plain,(
% 0.10/0.43 spl0_41 <=> in(powerset(empty_set),empty_set)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f725,plain,(
% 0.10/0.43 empty(powerset(empty_set))|~in(powerset(empty_set),empty_set)|~spl0_12),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f680,f241])).
% 0.10/0.43 fof(f726,plain,(
% 0.10/0.43 spl0_39|~spl0_41|~spl0_12),
% 0.10/0.43 inference(split_clause,[status(thm)],[f725,f714,f722,f314])).
% 0.10/0.43 fof(f729,plain,(
% 0.10/0.43 $false|~spl0_39),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f715,f115])).
% 0.10/0.43 fof(f730,plain,(
% 0.10/0.43 ~spl0_39),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f729])).
% 0.10/0.43 fof(f756,plain,(
% 0.10/0.43 spl0_44 <=> empty(powerset(sk0_21))),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f757,plain,(
% 0.10/0.43 empty(powerset(sk0_21))|~spl0_44),
% 0.10/0.43 inference(component_clause,[status(thm)],[f756])).
% 0.10/0.43 fof(f770,plain,(
% 0.10/0.43 $false|~spl0_44),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f757,f115])).
% 0.10/0.43 fof(f771,plain,(
% 0.10/0.43 ~spl0_44),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f770])).
% 0.10/0.43 fof(f781,plain,(
% 0.10/0.43 ![X0,X1]: (~empty(X0)|~empty(X1)|X1=sk0_8(powerset(sk0_8(powerset(X0)))))),
% 0.10/0.43 inference(resolution,[status(thm)],[f673,f179])).
% 0.10/0.43 fof(f782,plain,(
% 0.10/0.43 ![X0]: (~empty(X0)|finite(sk0_8(powerset(sk0_8(powerset(X0))))))),
% 0.10/0.43 inference(resolution,[status(thm)],[f673,f58])).
% 0.10/0.43 fof(f783,plain,(
% 0.10/0.43 ![X0]: (~empty(X0)|sk0_8(powerset(sk0_8(powerset(X0))))=empty_set)),
% 0.10/0.43 inference(resolution,[status(thm)],[f673,f173])).
% 0.10/0.43 fof(f784,plain,(
% 0.10/0.43 empty(sk0_8(powerset(empty_set)))|~empty(empty_set)|~spl0_12),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f680,f673])).
% 0.10/0.43 fof(f785,plain,(
% 0.10/0.43 spl0_36|~spl0_15|~spl0_12),
% 0.10/0.43 inference(split_clause,[status(thm)],[f784,f685,f328,f314])).
% 0.10/0.43 fof(f786,plain,(
% 0.10/0.43 spl0_48 <=> finite(sk0_8(powerset(empty_set)))),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f789,plain,(
% 0.10/0.43 ~empty(empty_set)|finite(sk0_8(powerset(empty_set)))|~spl0_12),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f680,f782])).
% 0.10/0.43 fof(f790,plain,(
% 0.10/0.43 ~spl0_15|spl0_48|~spl0_12),
% 0.10/0.43 inference(split_clause,[status(thm)],[f789,f328,f786,f314])).
% 0.10/0.43 fof(f791,plain,(
% 0.10/0.43 $false|spl0_15),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f330,f116])).
% 0.10/0.43 fof(f792,plain,(
% 0.10/0.43 spl0_15),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f791])).
% 0.10/0.43 fof(f793,plain,(
% 0.10/0.43 spl0_49 <=> sk0_8(powerset(empty_set))=empty_set),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f796,plain,(
% 0.10/0.43 ~empty(empty_set)|sk0_8(powerset(empty_set))=empty_set|~spl0_12),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f680,f783])).
% 0.10/0.43 fof(f797,plain,(
% 0.10/0.43 ~spl0_15|spl0_49|~spl0_12),
% 0.10/0.43 inference(split_clause,[status(thm)],[f796,f328,f793,f314])).
% 0.10/0.43 fof(f801,plain,(
% 0.10/0.43 spl0_50 <=> ~empty(X0)|X0=sk0_8(powerset(empty_set))),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f804,plain,(
% 0.10/0.43 ![X0]: (~empty(empty_set)|~empty(X0)|X0=sk0_8(powerset(empty_set))|~spl0_12)),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f680,f781])).
% 0.10/0.43 fof(f805,plain,(
% 0.10/0.43 ~spl0_15|spl0_50|~spl0_12),
% 0.10/0.43 inference(split_clause,[status(thm)],[f804,f328,f801,f314])).
% 0.10/0.43 fof(f836,plain,(
% 0.10/0.43 spl0_52 <=> empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_often_in(X0,X1,empty_set)|~element(X2,the_carrier(X1))),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f839,plain,(
% 0.10/0.43 ![X0,X1,X2]: (~empty(empty_set)|empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_often_in(X0,X1,empty_set)|~element(X2,the_carrier(X1))|~spl0_12)),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f680,f619])).
% 0.10/0.43 fof(f840,plain,(
% 0.10/0.43 ~spl0_15|spl0_52|~spl0_12),
% 0.10/0.43 inference(split_clause,[status(thm)],[f839,f328,f836,f314])).
% 0.10/0.43 fof(f1035,plain,(
% 0.10/0.43 ![X0,X1,X2,X3,X4]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_eventually_in(X0,X1,X2)|in(apply_netmap(X0,X1,sk0_1(sk0_0(X2,X1,X0),X3,X1,X4)),X2)|empty_carrier(X4)|~one_sorted_str(X4)|~net_str(X1,X4)|is_eventually_in(X4,X1,X3)|~element(sk0_0(X2,X1,X0),the_carrier(X1)))),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f400,f70])).
% 0.10/0.43 fof(f1047,plain,(
% 0.10/0.43 ![X0,X1,X2,X3]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_eventually_in(X0,X1,sk0_21)|empty_carrier(X2)|~one_sorted_str(X2)|~net_str(X1,X2)|is_eventually_in(X2,X1,X3)|~element(sk0_0(sk0_21,X1,X0),the_carrier(X1))|element(apply_netmap(X0,X1,sk0_1(sk0_0(sk0_21,X1,X0),X3,X1,X2)),sk0_22))),
% 0.10/0.43 inference(resolution,[status(thm)],[f1035,f282])).
% 0.10/0.43 fof(f1048,plain,(
% 0.10/0.43 ![X0,X1,X2,X3]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_eventually_in(X0,X1,sk0_21)|empty_carrier(X2)|~one_sorted_str(X2)|~net_str(X1,X2)|is_eventually_in(X2,X1,X3)|element(apply_netmap(X0,X1,sk0_1(sk0_0(sk0_21,X1,X0),X3,X1,X2)),sk0_22))),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1047,f68])).
% 0.10/0.43 fof(f1065,plain,(
% 0.10/0.43 ![X0,X1,X2,X3,X4]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|is_often_in(X0,X1,X2)|~in(apply_netmap(X0,X1,sk0_2(sk0_3(X2,X1,X0),X3,X1,X4)),X2)|empty_carrier(X4)|~one_sorted_str(X4)|~net_str(X1,X4)|~is_often_in(X4,X1,X3)|~element(sk0_3(X2,X1,X0),the_carrier(X1)))),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f402,f77])).
% 0.10/0.43 fof(f1066,plain,(
% 0.10/0.43 ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|is_often_in(X0,X1,sk0_22)|empty_carrier(X0)|~one_sorted_str(X0)|~net_str(X1,X0)|~is_often_in(X0,X1,sk0_21)|~element(sk0_3(sk0_22,X1,X0),the_carrier(X1))|empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_often_in(X0,X1,sk0_21)|~element(sk0_3(sk0_22,X1,X0),the_carrier(X1))|~spl0_32)),
% 0.10/0.43 inference(resolution,[status(thm)],[f1065,f595])).
% 0.10/0.43 fof(f1067,plain,(
% 0.10/0.43 ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|is_often_in(X0,X1,sk0_22)|~is_often_in(X0,X1,sk0_21)|~element(sk0_3(sk0_22,X1,X0),the_carrier(X1))|~spl0_32)),
% 0.10/0.43 inference(duplicate_literals_removal,[status(esa)],[f1066])).
% 0.10/0.43 fof(f1068,plain,(
% 0.10/0.43 ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|is_often_in(X0,X1,sk0_22)|~is_often_in(X0,X1,sk0_21)|~spl0_32)),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1067,f80])).
% 0.10/0.43 fof(f1095,plain,(
% 0.10/0.43 spl0_58 <=> empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_eventually_in(X0,X1,sk0_21)|empty_carrier(X2)|~one_sorted_str(X2)|~net_str(X1,X2)|is_eventually_in(X2,X1,X3)|in(apply_netmap(X0,X1,sk0_1(sk0_0(sk0_21,X1,X0),X3,X1,X2)),sk0_22)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f1096,plain,(
% 0.10/0.43 ![X0,X1,X2,X3]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_eventually_in(X0,X1,sk0_21)|empty_carrier(X2)|~one_sorted_str(X2)|~net_str(X1,X2)|is_eventually_in(X2,X1,X3)|in(apply_netmap(X0,X1,sk0_1(sk0_0(sk0_21,X1,X0),X3,X1,X2)),sk0_22)|~spl0_58)),
% 0.10/0.43 inference(component_clause,[status(thm)],[f1095])).
% 0.10/0.43 fof(f1098,plain,(
% 0.10/0.43 ![X0,X1,X2,X3]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_eventually_in(X0,X1,sk0_21)|empty_carrier(X2)|~one_sorted_str(X2)|~net_str(X1,X2)|is_eventually_in(X2,X1,X3)|empty(sk0_22)|in(apply_netmap(X0,X1,sk0_1(sk0_0(sk0_21,X1,X0),X3,X1,X2)),sk0_22))),
% 0.10/0.43 inference(resolution,[status(thm)],[f1048,f161])).
% 0.10/0.43 fof(f1099,plain,(
% 0.10/0.43 spl0_58|spl0_8),
% 0.10/0.43 inference(split_clause,[status(thm)],[f1098,f1095,f263])).
% 0.10/0.43 fof(f1110,plain,(
% 0.10/0.43 ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_eventually_in(X0,X1,sk0_21)|empty_carrier(X0)|~one_sorted_str(X0)|~net_str(X1,X0)|is_eventually_in(X0,X1,sk0_22)|empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|is_eventually_in(X0,X1,sk0_22)|~element(sk0_0(sk0_21,X1,X0),the_carrier(X1))|~spl0_58)),
% 0.10/0.43 inference(resolution,[status(thm)],[f1096,f72])).
% 0.10/0.43 fof(f1111,plain,(
% 0.10/0.43 ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_eventually_in(X0,X1,sk0_21)|is_eventually_in(X0,X1,sk0_22)|~element(sk0_0(sk0_21,X1,X0),the_carrier(X1))|~spl0_58)),
% 0.10/0.43 inference(duplicate_literals_removal,[status(esa)],[f1110])).
% 0.10/0.43 fof(f1112,plain,(
% 0.10/0.43 ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~is_eventually_in(X0,X1,sk0_21)|is_eventually_in(X0,X1,sk0_22)|~spl0_58)),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1111,f68])).
% 0.10/0.43 fof(f1120,plain,(
% 0.10/0.43 spl0_61 <=> is_eventually_in(sk0_19,sk0_20,sk0_22)),
% 0.10/0.43 introduced(split_symbol_definition)).
% 0.10/0.43 fof(f1121,plain,(
% 0.10/0.43 is_eventually_in(sk0_19,sk0_20,sk0_22)|~spl0_61),
% 0.10/0.43 inference(component_clause,[status(thm)],[f1120])).
% 0.10/0.43 fof(f1123,plain,(
% 0.10/0.43 empty_carrier(sk0_19)|~one_sorted_str(sk0_19)|empty_carrier(sk0_20)|~net_str(sk0_20,sk0_19)|is_eventually_in(sk0_19,sk0_20,sk0_22)|~spl0_58|~spl0_0),
% 0.10/0.43 inference(resolution,[status(thm)],[f1112,f206])).
% 0.10/0.43 fof(f1124,plain,(
% 0.10/0.43 spl0_21|~spl0_3|spl0_22|~spl0_23|spl0_61|~spl0_58|~spl0_0),
% 0.10/0.43 inference(split_clause,[status(thm)],[f1123,f510,f222,f513,f516,f1120,f1095,f194])).
% 0.10/0.43 fof(f1125,plain,(
% 0.10/0.43 $false|~spl0_0|~spl0_61),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1121,f205])).
% 0.10/0.43 fof(f1126,plain,(
% 0.10/0.43 ~spl0_0|~spl0_61),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f1125])).
% 0.10/0.43 fof(f1127,plain,(
% 0.10/0.43 empty_carrier(sk0_19)|~one_sorted_str(sk0_19)|empty_carrier(sk0_20)|~net_str(sk0_20,sk0_19)|is_often_in(sk0_19,sk0_20,sk0_22)|~spl0_1|~spl0_32),
% 0.10/0.43 inference(resolution,[status(thm)],[f198,f1068])).
% 0.10/0.43 fof(f1128,plain,(
% 0.10/0.43 spl0_21|~spl0_3|spl0_22|~spl0_23|spl0_2|~spl0_1|~spl0_32),
% 0.10/0.43 inference(split_clause,[status(thm)],[f1127,f510,f222,f513,f516,f201,f197,f594])).
% 0.10/0.43 fof(f1134,plain,(
% 0.10/0.43 ![X0]: (empty_carrier(sk0_19)|~one_sorted_str(sk0_19)|empty_carrier(sk0_20)|~net_str(sk0_20,sk0_19)|~element(X0,the_carrier(sk0_20))|~empty(sk0_21)|~spl0_1)),
% 0.10/0.43 inference(resolution,[status(thm)],[f198,f497])).
% 0.10/0.43 fof(f1135,plain,(
% 0.10/0.43 spl0_21|~spl0_3|spl0_22|~spl0_23|spl0_24|~spl0_10|~spl0_1),
% 0.10/0.43 inference(split_clause,[status(thm)],[f1134,f510,f222,f513,f516,f519,f288,f197])).
% 0.10/0.43 fof(f1146,plain,(
% 0.10/0.43 pd0_0(empty_set,empty_set,sk0_20,sk0_19)|~spl0_8|~spl0_10|~spl0_0),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f573,f304])).
% 0.10/0.43 fof(f1147,plain,(
% 0.10/0.43 ~is_eventually_in(sk0_19,sk0_20,empty_set)|~spl0_8|~spl0_10|~spl0_0),
% 0.10/0.43 inference(resolution,[status(thm)],[f1146,f193])).
% 0.10/0.43 fof(f1148,plain,(
% 0.10/0.43 $false|~spl0_8|~spl0_10|~spl0_0),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1147,f303])).
% 0.10/0.43 fof(f1149,plain,(
% 0.10/0.43 ~spl0_8|~spl0_10|~spl0_0),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f1148])).
% 0.10/0.43 fof(f1150,plain,(
% 0.10/0.43 $false),
% 0.10/0.43 inference(sat_refutation,[status(thm)],[f200,f204,f229,f231,f267,f422,f427,f431,f437,f452,f454,f525,f527,f529,f564,f582,f598,f721,f726,f730,f771,f785,f790,f792,f797,f805,f840,f1099,f1124,f1126,f1128,f1135,f1149])).
% 0.10/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.173535 seconds
% 0.10/0.43 % CPU time: 1.284358 seconds
% 0.10/0.43 % Memory used: 68.797 MB
%------------------------------------------------------------------------------