TSTP Solution File: SEU109+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU109+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:35:50 EDT 2023
% Result : Theorem 5.20s 1.06s
% Output : CNFRefutation 5.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU109+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 09:06:06 EDT 2023
% 0.18/0.33 % CPUTime :
% 0.18/0.34 % Drodi V3.5.1
% 5.20/1.06 % Refutation found
% 5.20/1.06 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.20/1.06 % SZS output start CNFRefutation for theBenchmark
% 5.20/1.06 fof(f1,axiom,(
% 5.20/1.06 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f5,axiom,(
% 5.20/1.06 (! [A] :( ( cup_closed(A)& diff_closed(A) )=> preboolean(A) ) )),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f6,axiom,(
% 5.20/1.06 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f7,axiom,(
% 5.20/1.06 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f8,axiom,(
% 5.20/1.06 (! [A,B,C] :( C = set_intersection2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& in(D,B) ) ) )) )),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f11,axiom,(
% 5.20/1.06 (! [A,B] :( finite(A)=> finite(set_intersection2(A,B)) ) )),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f15,axiom,(
% 5.20/1.06 empty(empty_set) ),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f18,axiom,(
% 5.20/1.06 (! [A,B] :( ( finite(A)& finite(B) )=> finite(set_union2(A,B)) ) )),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f20,axiom,(
% 5.20/1.06 (! [A,B] : set_intersection2(A,A) = A )),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f21,axiom,(
% 5.20/1.06 (? [A] :( ~ empty(A)& finite(A) ) )),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f22,axiom,(
% 5.20/1.06 (? [A] :( ~ empty(A)& cup_closed(A)& cap_closed(A)& diff_closed(A)& preboolean(A) ) )),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f31,axiom,(
% 5.20/1.06 (! [A] :( preboolean(A)<=> (! [B,C] :( ( in(B,A)& in(C,A) )=> ( in(set_union2(B,C),A)& in(set_difference(B,C),A) ) ) )) )),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f32,axiom,(
% 5.20/1.06 (! [A] :( ( ~ empty(A)& preboolean(A) )=> in(empty_set,A) ) )),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f33,axiom,(
% 5.20/1.06 (! [A] : set_union2(A,empty_set) = A )),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f35,conjecture,(
% 5.20/1.06 (! [A] :( ( ~ empty(A)& preboolean(A) )=> (! [B] :( ( ~ empty(B)& preboolean(B) )=> ( ~ empty(set_intersection2(A,B))& preboolean(set_intersection2(A,B)) ) ) )) )),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f36,negated_conjecture,(
% 5.20/1.06 ~((! [A] :( ( ~ empty(A)& preboolean(A) )=> (! [B] :( ( ~ empty(B)& preboolean(B) )=> ( ~ empty(set_intersection2(A,B))& preboolean(set_intersection2(A,B)) ) ) )) ))),
% 5.20/1.06 inference(negated_conjecture,[status(cth)],[f35])).
% 5.20/1.06 fof(f37,axiom,(
% 5.20/1.06 (! [A] : set_intersection2(A,empty_set) = empty_set )),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f44,axiom,(
% 5.20/1.06 (! [A] :( empty(A)=> A = empty_set ) )),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f45,axiom,(
% 5.20/1.06 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 5.20/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.20/1.06 fof(f47,plain,(
% 5.20/1.06 ![A,B]: (~in(A,B)|~in(B,A))),
% 5.20/1.06 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 5.20/1.06 fof(f48,plain,(
% 5.20/1.06 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 5.20/1.06 inference(cnf_transformation,[status(esa)],[f47])).
% 5.20/1.06 fof(f56,plain,(
% 5.20/1.06 ![A]: ((~cup_closed(A)|~diff_closed(A))|preboolean(A))),
% 5.20/1.06 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 5.20/1.06 fof(f57,plain,(
% 5.20/1.06 ![X0]: (~cup_closed(X0)|~diff_closed(X0)|preboolean(X0))),
% 5.20/1.06 inference(cnf_transformation,[status(esa)],[f56])).
% 5.20/1.06 fof(f58,plain,(
% 5.20/1.06 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 5.20/1.06 inference(cnf_transformation,[status(esa)],[f6])).
% 5.20/1.06 fof(f59,plain,(
% 5.20/1.06 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 5.20/1.06 inference(cnf_transformation,[status(esa)],[f7])).
% 5.20/1.06 fof(f60,plain,(
% 5.20/1.06 ![A,B,C]: ((~C=set_intersection2(A,B)|(![D]: ((~in(D,C)|(in(D,A)&in(D,B)))&(in(D,C)|(~in(D,A)|~in(D,B))))))&(C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 5.20/1.06 inference(NNF_transformation,[status(esa)],[f8])).
% 5.20/1.06 fof(f61,plain,(
% 5.20/1.06 (![A,B,C]: (~C=set_intersection2(A,B)|((![D]: (~in(D,C)|(in(D,A)&in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|~in(D,B)))))))&(![A,B,C]: (C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 5.20/1.06 inference(miniscoping,[status(esa)],[f60])).
% 5.20/1.06 fof(f62,plain,(
% 5.20/1.06 (![A,B,C]: (~C=set_intersection2(A,B)|((![D]: (~in(D,C)|(in(D,A)&in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|~in(D,B)))))))&(![A,B,C]: (C=set_intersection2(A,B)|((~in(sk0_0(C,B,A),C)|(~in(sk0_0(C,B,A),A)|~in(sk0_0(C,B,A),B)))&(in(sk0_0(C,B,A),C)|(in(sk0_0(C,B,A),A)&in(sk0_0(C,B,A),B))))))),
% 5.20/1.06 inference(skolemization,[status(esa)],[f61])).
% 5.20/1.06 fof(f63,plain,(
% 5.20/1.06 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|~in(X3,X0)|in(X3,X1))),
% 5.20/1.06 inference(cnf_transformation,[status(esa)],[f62])).
% 5.20/1.06 fof(f64,plain,(
% 5.20/1.06 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|~in(X3,X0)|in(X3,X2))),
% 5.20/1.06 inference(cnf_transformation,[status(esa)],[f62])).
% 5.20/1.06 fof(f65,plain,(
% 5.20/1.06 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|in(X3,X0)|~in(X3,X1)|~in(X3,X2))),
% 5.20/1.06 inference(cnf_transformation,[status(esa)],[f62])).
% 5.20/1.06 fof(f68,plain,(
% 5.20/1.06 ![X0,X1,X2]: (X0=set_intersection2(X1,X2)|in(sk0_0(X0,X2,X1),X0)|in(sk0_0(X0,X2,X1),X2))),
% 5.20/1.06 inference(cnf_transformation,[status(esa)],[f62])).
% 5.20/1.06 fof(f74,plain,(
% 5.20/1.06 ![A,B]: (~finite(A)|finite(set_intersection2(A,B)))),
% 5.20/1.06 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 5.20/1.06 fof(f75,plain,(
% 5.20/1.06 ![A]: (~finite(A)|(![B]: finite(set_intersection2(A,B))))),
% 5.20/1.06 inference(miniscoping,[status(esa)],[f74])).
% 5.20/1.06 fof(f76,plain,(
% 5.20/1.06 ![X0,X1]: (~finite(X0)|finite(set_intersection2(X0,X1)))),
% 5.20/1.06 inference(cnf_transformation,[status(esa)],[f75])).
% 5.20/1.06 fof(f86,plain,(
% 5.20/1.06 empty(empty_set)),
% 5.20/1.06 inference(cnf_transformation,[status(esa)],[f15])).
% 5.20/1.06 fof(f93,plain,(
% 5.20/1.06 ![A,B]: ((~finite(A)|~finite(B))|finite(set_union2(A,B)))),
% 5.20/1.06 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 5.20/1.06 fof(f94,plain,(
% 5.20/1.06 ![X0,X1]: (~finite(X0)|~finite(X1)|finite(set_union2(X0,X1)))),
% 5.20/1.06 inference(cnf_transformation,[status(esa)],[f93])).
% 5.20/1.06 fof(f97,plain,(
% 5.20/1.06 ![A]: set_intersection2(A,A)=A),
% 5.20/1.06 inference(miniscoping,[status(esa)],[f20])).
% 5.20/1.06 fof(f98,plain,(
% 5.20/1.06 ![X0]: (set_intersection2(X0,X0)=X0)),
% 5.20/1.06 inference(cnf_transformation,[status(esa)],[f97])).
% 5.20/1.06 fof(f99,plain,(
% 5.20/1.06 (~empty(sk0_2)&finite(sk0_2))),
% 5.20/1.06 inference(skolemization,[status(esa)],[f21])).
% 5.20/1.06 fof(f101,plain,(
% 5.20/1.06 finite(sk0_2)),
% 5.20/1.06 inference(cnf_transformation,[status(esa)],[f99])).
% 5.20/1.06 fof(f102,plain,(
% 5.20/1.06 ((((~empty(sk0_3)&cup_closed(sk0_3))&cap_closed(sk0_3))&diff_closed(sk0_3))&preboolean(sk0_3))),
% 5.20/1.06 inference(skolemization,[status(esa)],[f22])).
% 5.20/1.06 fof(f103,plain,(
% 5.20/1.06 ~empty(sk0_3)),
% 5.20/1.06 inference(cnf_transformation,[status(esa)],[f102])).
% 5.20/1.06 fof(f104,plain,(
% 5.20/1.06 cup_closed(sk0_3)),
% 5.20/1.06 inference(cnf_transformation,[status(esa)],[f102])).
% 5.20/1.06 fof(f106,plain,(
% 5.20/1.06 diff_closed(sk0_3)),
% 5.20/1.06 inference(cnf_transformation,[status(esa)],[f102])).
% 5.20/1.06 fof(f107,plain,(
% 5.20/1.06 preboolean(sk0_3)),
% 5.20/1.06 inference(cnf_transformation,[status(esa)],[f102])).
% 5.20/1.06 fof(f142,plain,(
% 5.20/1.06 ![A]: (preboolean(A)<=>(![B,C]: ((~in(B,A)|~in(C,A))|(in(set_union2(B,C),A)&in(set_difference(B,C),A)))))),
% 5.20/1.06 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 5.20/1.06 fof(f143,plain,(
% 5.20/1.06 ![A]: ((~preboolean(A)|(![B,C]: ((~in(B,A)|~in(C,A))|(in(set_union2(B,C),A)&in(set_difference(B,C),A)))))&(preboolean(A)|(?[B,C]: ((in(B,A)&in(C,A))&(~in(set_union2(B,C),A)|~in(set_difference(B,C),A))))))),
% 5.20/1.07 inference(NNF_transformation,[status(esa)],[f142])).
% 5.20/1.07 fof(f144,plain,(
% 5.20/1.07 (![A]: (~preboolean(A)|(![B,C]: ((~in(B,A)|~in(C,A))|(in(set_union2(B,C),A)&in(set_difference(B,C),A))))))&(![A]: (preboolean(A)|(?[B,C]: ((in(B,A)&in(C,A))&(~in(set_union2(B,C),A)|~in(set_difference(B,C),A))))))),
% 5.20/1.07 inference(miniscoping,[status(esa)],[f143])).
% 5.20/1.07 fof(f145,plain,(
% 5.20/1.07 (![A]: (~preboolean(A)|(![B,C]: ((~in(B,A)|~in(C,A))|(in(set_union2(B,C),A)&in(set_difference(B,C),A))))))&(![A]: (preboolean(A)|((in(sk0_11(A),A)&in(sk0_12(A),A))&(~in(set_union2(sk0_11(A),sk0_12(A)),A)|~in(set_difference(sk0_11(A),sk0_12(A)),A)))))),
% 5.20/1.07 inference(skolemization,[status(esa)],[f144])).
% 5.20/1.07 fof(f146,plain,(
% 5.20/1.07 ![X0,X1,X2]: (~preboolean(X0)|~in(X1,X0)|~in(X2,X0)|in(set_union2(X1,X2),X0))),
% 5.20/1.07 inference(cnf_transformation,[status(esa)],[f145])).
% 5.20/1.07 fof(f147,plain,(
% 5.20/1.07 ![X0,X1,X2]: (~preboolean(X0)|~in(X1,X0)|~in(X2,X0)|in(set_difference(X1,X2),X0))),
% 5.20/1.07 inference(cnf_transformation,[status(esa)],[f145])).
% 5.20/1.07 fof(f148,plain,(
% 5.20/1.07 ![X0]: (preboolean(X0)|in(sk0_11(X0),X0))),
% 5.20/1.07 inference(cnf_transformation,[status(esa)],[f145])).
% 5.20/1.07 fof(f149,plain,(
% 5.20/1.07 ![X0]: (preboolean(X0)|in(sk0_12(X0),X0))),
% 5.20/1.07 inference(cnf_transformation,[status(esa)],[f145])).
% 5.20/1.07 fof(f150,plain,(
% 5.20/1.07 ![X0]: (preboolean(X0)|~in(set_union2(sk0_11(X0),sk0_12(X0)),X0)|~in(set_difference(sk0_11(X0),sk0_12(X0)),X0))),
% 5.20/1.07 inference(cnf_transformation,[status(esa)],[f145])).
% 5.20/1.07 fof(f151,plain,(
% 5.20/1.07 ![A]: ((empty(A)|~preboolean(A))|in(empty_set,A))),
% 5.20/1.07 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 5.20/1.07 fof(f152,plain,(
% 5.20/1.07 ![X0]: (empty(X0)|~preboolean(X0)|in(empty_set,X0))),
% 5.20/1.07 inference(cnf_transformation,[status(esa)],[f151])).
% 5.20/1.07 fof(f153,plain,(
% 5.20/1.07 ![X0]: (set_union2(X0,empty_set)=X0)),
% 5.20/1.07 inference(cnf_transformation,[status(esa)],[f33])).
% 5.20/1.07 fof(f156,plain,(
% 5.20/1.07 (?[A]: ((~empty(A)&preboolean(A))&(?[B]: ((~empty(B)&preboolean(B))&(empty(set_intersection2(A,B))|~preboolean(set_intersection2(A,B)))))))),
% 5.20/1.07 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 5.20/1.07 fof(f157,plain,(
% 5.20/1.07 ((~empty(sk0_13)&preboolean(sk0_13))&((~empty(sk0_14)&preboolean(sk0_14))&(empty(set_intersection2(sk0_13,sk0_14))|~preboolean(set_intersection2(sk0_13,sk0_14)))))),
% 5.20/1.07 inference(skolemization,[status(esa)],[f156])).
% 5.20/1.07 fof(f158,plain,(
% 5.20/1.07 ~empty(sk0_13)),
% 5.20/1.07 inference(cnf_transformation,[status(esa)],[f157])).
% 5.20/1.07 fof(f159,plain,(
% 5.20/1.07 preboolean(sk0_13)),
% 5.20/1.07 inference(cnf_transformation,[status(esa)],[f157])).
% 5.20/1.07 fof(f160,plain,(
% 5.20/1.07 ~empty(sk0_14)),
% 5.20/1.07 inference(cnf_transformation,[status(esa)],[f157])).
% 5.20/1.07 fof(f161,plain,(
% 5.20/1.07 preboolean(sk0_14)),
% 5.20/1.07 inference(cnf_transformation,[status(esa)],[f157])).
% 5.20/1.07 fof(f162,plain,(
% 5.20/1.07 empty(set_intersection2(sk0_13,sk0_14))|~preboolean(set_intersection2(sk0_13,sk0_14))),
% 5.20/1.07 inference(cnf_transformation,[status(esa)],[f157])).
% 5.20/1.07 fof(f163,plain,(
% 5.20/1.07 ![X0]: (set_intersection2(X0,empty_set)=empty_set)),
% 5.20/1.07 inference(cnf_transformation,[status(esa)],[f37])).
% 5.20/1.07 fof(f178,plain,(
% 5.20/1.07 ![A]: (~empty(A)|A=empty_set)),
% 5.20/1.07 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 5.20/1.07 fof(f179,plain,(
% 5.20/1.07 ![X0]: (~empty(X0)|X0=empty_set)),
% 5.20/1.07 inference(cnf_transformation,[status(esa)],[f178])).
% 5.20/1.07 fof(f180,plain,(
% 5.20/1.07 ![A,B]: (~in(A,B)|~empty(B))),
% 5.20/1.07 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 5.20/1.07 fof(f181,plain,(
% 5.20/1.07 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 5.20/1.07 inference(miniscoping,[status(esa)],[f180])).
% 5.20/1.07 fof(f182,plain,(
% 5.20/1.07 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 5.20/1.07 inference(cnf_transformation,[status(esa)],[f181])).
% 5.20/1.07 fof(f186,plain,(
% 5.20/1.07 spl0_0 <=> empty(set_intersection2(sk0_13,sk0_14))),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f187,plain,(
% 5.20/1.07 empty(set_intersection2(sk0_13,sk0_14))|~spl0_0),
% 5.20/1.07 inference(component_clause,[status(thm)],[f186])).
% 5.20/1.07 fof(f189,plain,(
% 5.20/1.07 spl0_1 <=> preboolean(set_intersection2(sk0_13,sk0_14))),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f191,plain,(
% 5.20/1.07 ~preboolean(set_intersection2(sk0_13,sk0_14))|spl0_1),
% 5.20/1.07 inference(component_clause,[status(thm)],[f189])).
% 5.20/1.07 fof(f192,plain,(
% 5.20/1.07 spl0_0|~spl0_1),
% 5.20/1.07 inference(split_clause,[status(thm)],[f162,f186,f189])).
% 5.20/1.07 fof(f193,plain,(
% 5.20/1.07 ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|in(X0,X1))),
% 5.20/1.07 inference(destructive_equality_resolution,[status(esa)],[f63])).
% 5.20/1.07 fof(f194,plain,(
% 5.20/1.07 ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|in(X0,X2))),
% 5.20/1.07 inference(destructive_equality_resolution,[status(esa)],[f64])).
% 5.20/1.07 fof(f195,plain,(
% 5.20/1.07 ![X0,X1,X2]: (in(X0,set_intersection2(X1,X2))|~in(X0,X1)|~in(X0,X2))),
% 5.20/1.07 inference(destructive_equality_resolution,[status(esa)],[f65])).
% 5.20/1.07 fof(f206,plain,(
% 5.20/1.07 ![X0,X1,X2]: (~in(set_intersection2(X0,X1),X2)|~in(X2,X0)|~in(X2,X1))),
% 5.20/1.07 inference(resolution,[status(thm)],[f48,f195])).
% 5.20/1.07 fof(f220,plain,(
% 5.20/1.07 ![X0,X1,X2,X3]: (~in(set_intersection2(X0,X1),X2)|~in(set_intersection2(X0,X1),X3)|~in(set_intersection2(X2,X3),X0)|~in(set_intersection2(X2,X3),X1))),
% 5.20/1.07 inference(resolution,[status(thm)],[f206,f195])).
% 5.20/1.07 fof(f250,plain,(
% 5.20/1.07 ![X0]: (~in(set_intersection2(X0,X0),X0)|~in(set_intersection2(X0,X0),X0))),
% 5.20/1.07 inference(factoring,[status(esa)],[f220])).
% 5.20/1.07 fof(f251,plain,(
% 5.20/1.07 ![X0]: (~in(X0,X0)|~in(set_intersection2(X0,X0),X0))),
% 5.20/1.07 inference(forward_demodulation,[status(thm)],[f98,f250])).
% 5.20/1.07 fof(f252,plain,(
% 5.20/1.07 ![X0]: (~in(X0,X0)|~in(X0,X0))),
% 5.20/1.07 inference(forward_demodulation,[status(thm)],[f98,f251])).
% 5.20/1.07 fof(f253,plain,(
% 5.20/1.07 ![X0]: (~in(X0,X0))),
% 5.20/1.07 inference(duplicate_literals_removal,[status(esa)],[f252])).
% 5.20/1.07 fof(f254,plain,(
% 5.20/1.07 ![X0,X1]: (~in(set_intersection2(X0,X1),X0)|~in(set_intersection2(X0,X1),X1))),
% 5.20/1.07 inference(resolution,[status(thm)],[f253,f195])).
% 5.20/1.07 fof(f842,plain,(
% 5.20/1.07 ![X0]: (set_intersection2(empty_set,X0)=empty_set)),
% 5.20/1.07 inference(paramodulation,[status(thm)],[f59,f163])).
% 5.20/1.07 fof(f1036,plain,(
% 5.20/1.07 spl0_4 <=> ~finite(X0)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f1037,plain,(
% 5.20/1.07 ![X0]: (~finite(X0)|~spl0_4)),
% 5.20/1.07 inference(component_clause,[status(thm)],[f1036])).
% 5.20/1.07 fof(f1039,plain,(
% 5.20/1.07 spl0_5 <=> finite(empty_set)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f1042,plain,(
% 5.20/1.07 ![X0]: (~finite(X0)|finite(empty_set))),
% 5.20/1.07 inference(paramodulation,[status(thm)],[f163,f76])).
% 5.20/1.07 fof(f1043,plain,(
% 5.20/1.07 spl0_4|spl0_5),
% 5.20/1.07 inference(split_clause,[status(thm)],[f1042,f1036,f1039])).
% 5.20/1.07 fof(f1275,plain,(
% 5.20/1.07 spl0_6 <=> cup_closed(sk0_3)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f1277,plain,(
% 5.20/1.07 ~cup_closed(sk0_3)|spl0_6),
% 5.20/1.07 inference(component_clause,[status(thm)],[f1275])).
% 5.20/1.07 fof(f1278,plain,(
% 5.20/1.07 spl0_7 <=> preboolean(sk0_3)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f1281,plain,(
% 5.20/1.07 ~cup_closed(sk0_3)|preboolean(sk0_3)),
% 5.20/1.07 inference(resolution,[status(thm)],[f106,f57])).
% 5.20/1.07 fof(f1282,plain,(
% 5.20/1.07 ~spl0_6|spl0_7),
% 5.20/1.07 inference(split_clause,[status(thm)],[f1281,f1275,f1278])).
% 5.20/1.07 fof(f1283,plain,(
% 5.20/1.07 $false|spl0_6),
% 5.20/1.07 inference(forward_subsumption_resolution,[status(thm)],[f1277,f104])).
% 5.20/1.07 fof(f1284,plain,(
% 5.20/1.07 spl0_6),
% 5.20/1.07 inference(contradiction_clause,[status(thm)],[f1283])).
% 5.20/1.07 fof(f1295,plain,(
% 5.20/1.07 $false|~spl0_4),
% 5.20/1.07 inference(backward_subsumption_resolution,[status(thm)],[f101,f1037])).
% 5.20/1.07 fof(f1296,plain,(
% 5.20/1.07 ~spl0_4),
% 5.20/1.07 inference(contradiction_clause,[status(thm)],[f1295])).
% 5.20/1.07 fof(f2884,plain,(
% 5.20/1.07 ![X0]: (set_union2(empty_set,X0)=X0)),
% 5.20/1.07 inference(paramodulation,[status(thm)],[f58,f153])).
% 5.20/1.07 fof(f2895,plain,(
% 5.20/1.07 ![X0,X1,X2,X3]: (X0=set_intersection2(X1,set_intersection2(X2,X3))|in(sk0_0(X0,set_intersection2(X2,X3),X1),X0)|in(sk0_0(X0,set_intersection2(X2,X3),X1),X2))),
% 5.20/1.07 inference(resolution,[status(thm)],[f68,f193])).
% 5.20/1.07 fof(f4716,plain,(
% 5.20/1.07 ![X0]: (~in(X0,empty_set))),
% 5.20/1.07 inference(resolution,[status(thm)],[f182,f86])).
% 5.20/1.07 fof(f4721,plain,(
% 5.20/1.07 ![X0,X1,X2]: (X0=set_intersection2(X1,set_intersection2(empty_set,X2))|in(sk0_0(X0,set_intersection2(empty_set,X2),X1),X0))),
% 5.20/1.07 inference(resolution,[status(thm)],[f4716,f2895])).
% 5.20/1.07 fof(f4722,plain,(
% 5.20/1.07 ![X0,X1,X2]: (X0=set_intersection2(X1,empty_set)|in(sk0_0(X0,set_intersection2(empty_set,X2),X1),X0))),
% 5.20/1.07 inference(forward_demodulation,[status(thm)],[f842,f4721])).
% 5.20/1.07 fof(f4723,plain,(
% 5.20/1.07 ![X0,X1,X2]: (X0=empty_set|in(sk0_0(X0,set_intersection2(empty_set,X1),X2),X0))),
% 5.20/1.07 inference(forward_demodulation,[status(thm)],[f163,f4722])).
% 5.20/1.07 fof(f4724,plain,(
% 5.20/1.07 ![X0,X1]: (X0=empty_set|in(sk0_0(X0,empty_set,X1),X0))),
% 5.20/1.07 inference(forward_demodulation,[status(thm)],[f842,f4723])).
% 5.20/1.07 fof(f4773,plain,(
% 5.20/1.07 in(sk0_11(set_intersection2(sk0_13,sk0_14)),set_intersection2(sk0_13,sk0_14))|spl0_1),
% 5.20/1.07 inference(resolution,[status(thm)],[f148,f191])).
% 5.20/1.07 fof(f4774,plain,(
% 5.20/1.07 in(sk0_12(set_intersection2(sk0_13,sk0_14)),set_intersection2(sk0_13,sk0_14))|spl0_1),
% 5.20/1.07 inference(resolution,[status(thm)],[f149,f191])).
% 5.20/1.07 fof(f4775,plain,(
% 5.20/1.07 spl0_35 <=> ~finite(X0)|finite(X0)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f4778,plain,(
% 5.20/1.07 ![X0]: (~finite(empty_set)|~finite(X0)|finite(X0))),
% 5.20/1.07 inference(paramodulation,[status(thm)],[f2884,f94])).
% 5.20/1.07 fof(f4779,plain,(
% 5.20/1.07 ~spl0_5|spl0_35),
% 5.20/1.07 inference(split_clause,[status(thm)],[f4778,f1039,f4775])).
% 5.20/1.07 fof(f4784,plain,(
% 5.20/1.07 in(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_14)|spl0_1),
% 5.20/1.07 inference(resolution,[status(thm)],[f4773,f194])).
% 5.20/1.07 fof(f4785,plain,(
% 5.20/1.07 in(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_13)|spl0_1),
% 5.20/1.07 inference(resolution,[status(thm)],[f4773,f193])).
% 5.20/1.07 fof(f4789,plain,(
% 5.20/1.07 in(sk0_12(set_intersection2(sk0_13,sk0_14)),sk0_14)|spl0_1),
% 5.20/1.07 inference(resolution,[status(thm)],[f4774,f194])).
% 5.20/1.07 fof(f4790,plain,(
% 5.20/1.07 in(sk0_12(set_intersection2(sk0_13,sk0_14)),sk0_13)|spl0_1),
% 5.20/1.07 inference(resolution,[status(thm)],[f4774,f193])).
% 5.20/1.07 fof(f4825,plain,(
% 5.20/1.07 ![X0,X1,X2]: (set_intersection2(X0,X1)=empty_set|in(sk0_0(set_intersection2(X0,X1),empty_set,X2),X1))),
% 5.20/1.07 inference(resolution,[status(thm)],[f4724,f194])).
% 5.20/1.07 fof(f4826,plain,(
% 5.20/1.07 ![X0,X1,X2]: (set_intersection2(X0,X1)=empty_set|in(sk0_0(set_intersection2(X0,X1),empty_set,X2),X0))),
% 5.20/1.07 inference(resolution,[status(thm)],[f4724,f193])).
% 5.20/1.07 fof(f5211,plain,(
% 5.20/1.07 spl0_40 <=> set_intersection2(X0,empty_set)=empty_set),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f5214,plain,(
% 5.20/1.07 spl0_41 <=> in(sk0_0(empty_set,empty_set,X1),empty_set)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f5215,plain,(
% 5.20/1.07 ![X0]: (in(sk0_0(empty_set,empty_set,X0),empty_set)|~spl0_41)),
% 5.20/1.07 inference(component_clause,[status(thm)],[f5214])).
% 5.20/1.07 fof(f5217,plain,(
% 5.20/1.07 ![X0,X1]: (set_intersection2(X0,empty_set)=empty_set|in(sk0_0(empty_set,empty_set,X1),empty_set))),
% 5.20/1.07 inference(paramodulation,[status(thm)],[f163,f4825])).
% 5.20/1.07 fof(f5218,plain,(
% 5.20/1.07 spl0_40|spl0_41),
% 5.20/1.07 inference(split_clause,[status(thm)],[f5217,f5211,f5214])).
% 5.20/1.07 fof(f5244,plain,(
% 5.20/1.07 spl0_42 <=> set_intersection2(empty_set,X0)=empty_set),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f5247,plain,(
% 5.20/1.07 ![X0,X1]: (set_intersection2(empty_set,X0)=empty_set|in(sk0_0(empty_set,empty_set,X1),empty_set))),
% 5.20/1.07 inference(paramodulation,[status(thm)],[f842,f4826])).
% 5.20/1.07 fof(f5248,plain,(
% 5.20/1.07 spl0_42|spl0_41),
% 5.20/1.07 inference(split_clause,[status(thm)],[f5247,f5244,f5214])).
% 5.20/1.07 fof(f5254,plain,(
% 5.20/1.07 $false|~spl0_41),
% 5.20/1.07 inference(forward_subsumption_resolution,[status(thm)],[f5215,f4716])).
% 5.20/1.07 fof(f5255,plain,(
% 5.20/1.07 ~spl0_41),
% 5.20/1.07 inference(contradiction_clause,[status(thm)],[f5254])).
% 5.20/1.07 fof(f6717,plain,(
% 5.20/1.07 spl0_52 <=> empty(sk0_3)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f6718,plain,(
% 5.20/1.07 empty(sk0_3)|~spl0_52),
% 5.20/1.07 inference(component_clause,[status(thm)],[f6717])).
% 5.20/1.07 fof(f6720,plain,(
% 5.20/1.07 spl0_53 <=> in(empty_set,sk0_3)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f6723,plain,(
% 5.20/1.07 empty(sk0_3)|in(empty_set,sk0_3)),
% 5.20/1.07 inference(resolution,[status(thm)],[f152,f107])).
% 5.20/1.07 fof(f6724,plain,(
% 5.20/1.07 spl0_52|spl0_53),
% 5.20/1.07 inference(split_clause,[status(thm)],[f6723,f6717,f6720])).
% 5.20/1.07 fof(f6727,plain,(
% 5.20/1.07 spl0_54 <=> empty(sk0_14)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f6728,plain,(
% 5.20/1.07 empty(sk0_14)|~spl0_54),
% 5.20/1.07 inference(component_clause,[status(thm)],[f6727])).
% 5.20/1.07 fof(f6730,plain,(
% 5.20/1.07 spl0_55 <=> in(empty_set,sk0_14)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f6733,plain,(
% 5.20/1.07 empty(sk0_14)|in(empty_set,sk0_14)),
% 5.20/1.07 inference(resolution,[status(thm)],[f152,f161])).
% 5.20/1.07 fof(f6734,plain,(
% 5.20/1.07 spl0_54|spl0_55),
% 5.20/1.07 inference(split_clause,[status(thm)],[f6733,f6727,f6730])).
% 5.20/1.07 fof(f6735,plain,(
% 5.20/1.07 spl0_56 <=> empty(sk0_13)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f6736,plain,(
% 5.20/1.07 empty(sk0_13)|~spl0_56),
% 5.20/1.07 inference(component_clause,[status(thm)],[f6735])).
% 5.20/1.07 fof(f6738,plain,(
% 5.20/1.07 spl0_57 <=> in(empty_set,sk0_13)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f6739,plain,(
% 5.20/1.07 in(empty_set,sk0_13)|~spl0_57),
% 5.20/1.07 inference(component_clause,[status(thm)],[f6738])).
% 5.20/1.07 fof(f6741,plain,(
% 5.20/1.07 empty(sk0_13)|in(empty_set,sk0_13)),
% 5.20/1.07 inference(resolution,[status(thm)],[f152,f159])).
% 5.20/1.07 fof(f6742,plain,(
% 5.20/1.07 spl0_56|spl0_57),
% 5.20/1.07 inference(split_clause,[status(thm)],[f6741,f6735,f6738])).
% 5.20/1.07 fof(f6745,plain,(
% 5.20/1.07 $false|~spl0_56),
% 5.20/1.07 inference(forward_subsumption_resolution,[status(thm)],[f6736,f158])).
% 5.20/1.07 fof(f6746,plain,(
% 5.20/1.07 ~spl0_56),
% 5.20/1.07 inference(contradiction_clause,[status(thm)],[f6745])).
% 5.20/1.07 fof(f6747,plain,(
% 5.20/1.07 $false|~spl0_54),
% 5.20/1.07 inference(forward_subsumption_resolution,[status(thm)],[f6728,f160])).
% 5.20/1.07 fof(f6748,plain,(
% 5.20/1.07 ~spl0_54),
% 5.20/1.07 inference(contradiction_clause,[status(thm)],[f6747])).
% 5.20/1.07 fof(f6749,plain,(
% 5.20/1.07 $false|~spl0_52),
% 5.20/1.07 inference(forward_subsumption_resolution,[status(thm)],[f6718,f103])).
% 5.20/1.07 fof(f6750,plain,(
% 5.20/1.07 ~spl0_52),
% 5.20/1.07 inference(contradiction_clause,[status(thm)],[f6749])).
% 5.20/1.07 fof(f6755,plain,(
% 5.20/1.07 ![X0,X1]: (~in(X0,sk0_14)|~in(X1,sk0_14)|in(set_union2(X0,X1),sk0_14))),
% 5.20/1.07 inference(resolution,[status(thm)],[f146,f161])).
% 5.20/1.07 fof(f6756,plain,(
% 5.20/1.07 ![X0,X1]: (~in(X0,sk0_13)|~in(X1,sk0_13)|in(set_union2(X0,X1),sk0_13))),
% 5.20/1.07 inference(resolution,[status(thm)],[f146,f159])).
% 5.20/1.07 fof(f6761,plain,(
% 5.20/1.07 ![X0,X1]: (~in(X0,sk0_14)|~in(X1,sk0_14)|in(set_difference(X0,X1),sk0_14))),
% 5.20/1.07 inference(resolution,[status(thm)],[f147,f161])).
% 5.20/1.07 fof(f6762,plain,(
% 5.20/1.07 ![X0,X1]: (~in(X0,sk0_13)|~in(X1,sk0_13)|in(set_difference(X0,X1),sk0_13))),
% 5.20/1.07 inference(resolution,[status(thm)],[f147,f159])).
% 5.20/1.07 fof(f6765,plain,(
% 5.20/1.07 spl0_58 <=> in(set_union2(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),set_intersection2(sk0_13,sk0_14))),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f6767,plain,(
% 5.20/1.07 ~in(set_union2(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),set_intersection2(sk0_13,sk0_14))|spl0_58),
% 5.20/1.07 inference(component_clause,[status(thm)],[f6765])).
% 5.20/1.07 fof(f6768,plain,(
% 5.20/1.07 spl0_59 <=> in(set_difference(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),set_intersection2(sk0_13,sk0_14))),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f6770,plain,(
% 5.20/1.07 ~in(set_difference(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),set_intersection2(sk0_13,sk0_14))|spl0_59),
% 5.20/1.07 inference(component_clause,[status(thm)],[f6768])).
% 5.20/1.07 fof(f6771,plain,(
% 5.20/1.07 ~in(set_union2(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),set_intersection2(sk0_13,sk0_14))|~in(set_difference(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),set_intersection2(sk0_13,sk0_14))|spl0_1),
% 5.20/1.07 inference(resolution,[status(thm)],[f150,f191])).
% 5.20/1.07 fof(f6772,plain,(
% 5.20/1.07 ~spl0_58|~spl0_59|spl0_1),
% 5.20/1.07 inference(split_clause,[status(thm)],[f6771,f6765,f6768,f189])).
% 5.20/1.07 fof(f6778,plain,(
% 5.20/1.07 set_intersection2(sk0_13,sk0_14)=empty_set|~spl0_0),
% 5.20/1.07 inference(resolution,[status(thm)],[f187,f179])).
% 5.20/1.07 fof(f7351,plain,(
% 5.20/1.07 spl0_73 <=> in(set_intersection2(sk0_13,sk0_14),sk0_13)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f7353,plain,(
% 5.20/1.07 ~in(set_intersection2(sk0_13,sk0_14),sk0_13)|spl0_73),
% 5.20/1.07 inference(component_clause,[status(thm)],[f7351])).
% 5.20/1.07 fof(f7915,plain,(
% 5.20/1.07 ~in(set_intersection2(sk0_13,sk0_14),sk0_13)|~in(empty_set,sk0_14)|~spl0_0),
% 5.20/1.07 inference(paramodulation,[status(thm)],[f6778,f254])).
% 5.20/1.07 fof(f7916,plain,(
% 5.20/1.07 ~spl0_73|~spl0_55|~spl0_0),
% 5.20/1.07 inference(split_clause,[status(thm)],[f7915,f7351,f6730,f186])).
% 5.20/1.07 fof(f7943,plain,(
% 5.20/1.07 ~in(empty_set,sk0_13)|~spl0_0|spl0_73),
% 5.20/1.07 inference(forward_demodulation,[status(thm)],[f6778,f7353])).
% 5.20/1.07 fof(f7952,plain,(
% 5.20/1.07 $false|~spl0_57|~spl0_0|spl0_73),
% 5.20/1.07 inference(forward_subsumption_resolution,[status(thm)],[f7943,f6739])).
% 5.20/1.07 fof(f7953,plain,(
% 5.20/1.07 ~spl0_57|~spl0_0|spl0_73),
% 5.20/1.07 inference(contradiction_clause,[status(thm)],[f7952])).
% 5.20/1.07 fof(f7961,plain,(
% 5.20/1.07 spl0_82 <=> in(set_union2(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),sk0_13)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f7963,plain,(
% 5.20/1.07 ~in(set_union2(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),sk0_13)|spl0_82),
% 5.20/1.07 inference(component_clause,[status(thm)],[f7961])).
% 5.20/1.07 fof(f7964,plain,(
% 5.20/1.07 spl0_83 <=> in(set_union2(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),sk0_14)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f7966,plain,(
% 5.20/1.07 ~in(set_union2(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),sk0_14)|spl0_83),
% 5.20/1.07 inference(component_clause,[status(thm)],[f7964])).
% 5.20/1.07 fof(f7967,plain,(
% 5.20/1.07 ~in(set_union2(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),sk0_13)|~in(set_union2(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),sk0_14)|spl0_58),
% 5.20/1.07 inference(resolution,[status(thm)],[f6767,f195])).
% 5.20/1.07 fof(f7968,plain,(
% 5.20/1.07 ~spl0_82|~spl0_83|spl0_58),
% 5.20/1.07 inference(split_clause,[status(thm)],[f7967,f7961,f7964,f6765])).
% 5.20/1.07 fof(f7977,plain,(
% 5.20/1.07 spl0_84 <=> in(set_difference(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),sk0_13)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f7979,plain,(
% 5.20/1.07 ~in(set_difference(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),sk0_13)|spl0_84),
% 5.20/1.07 inference(component_clause,[status(thm)],[f7977])).
% 5.20/1.07 fof(f7980,plain,(
% 5.20/1.07 spl0_85 <=> in(set_difference(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),sk0_14)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f7982,plain,(
% 5.20/1.07 ~in(set_difference(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),sk0_14)|spl0_85),
% 5.20/1.07 inference(component_clause,[status(thm)],[f7980])).
% 5.20/1.07 fof(f7983,plain,(
% 5.20/1.07 ~in(set_difference(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),sk0_13)|~in(set_difference(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_12(set_intersection2(sk0_13,sk0_14))),sk0_14)|spl0_59),
% 5.20/1.07 inference(resolution,[status(thm)],[f6770,f195])).
% 5.20/1.07 fof(f7984,plain,(
% 5.20/1.07 ~spl0_84|~spl0_85|spl0_59),
% 5.20/1.07 inference(split_clause,[status(thm)],[f7983,f7977,f7980,f6768])).
% 5.20/1.07 fof(f7987,plain,(
% 5.20/1.07 ![X0,X1]: (~in(X0,sk0_14)|~in(X1,sk0_14)|~in(sk0_14,set_union2(X0,X1)))),
% 5.20/1.07 inference(resolution,[status(thm)],[f6755,f48])).
% 5.20/1.07 fof(f7988,plain,(
% 5.20/1.07 spl0_86 <=> ~in(X0,sk0_14)|in(X0,sk0_14)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f7991,plain,(
% 5.20/1.07 ![X0]: (~in(empty_set,sk0_14)|~in(X0,sk0_14)|in(X0,sk0_14))),
% 5.20/1.07 inference(paramodulation,[status(thm)],[f2884,f6755])).
% 5.20/1.07 fof(f7992,plain,(
% 5.20/1.07 ~spl0_55|spl0_86),
% 5.20/1.07 inference(split_clause,[status(thm)],[f7991,f6730,f7988])).
% 5.20/1.07 fof(f7997,plain,(
% 5.20/1.07 spl0_87 <=> in(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_13)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f7999,plain,(
% 5.20/1.07 ~in(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_13)|spl0_87),
% 5.20/1.07 inference(component_clause,[status(thm)],[f7997])).
% 5.20/1.07 fof(f8000,plain,(
% 5.20/1.07 spl0_88 <=> in(sk0_12(set_intersection2(sk0_13,sk0_14)),sk0_13)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f8002,plain,(
% 5.20/1.07 ~in(sk0_12(set_intersection2(sk0_13,sk0_14)),sk0_13)|spl0_88),
% 5.20/1.07 inference(component_clause,[status(thm)],[f8000])).
% 5.20/1.07 fof(f8003,plain,(
% 5.20/1.07 ~in(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_13)|~in(sk0_12(set_intersection2(sk0_13,sk0_14)),sk0_13)|spl0_82),
% 5.20/1.07 inference(resolution,[status(thm)],[f6756,f7963])).
% 5.20/1.07 fof(f8004,plain,(
% 5.20/1.07 ~spl0_87|~spl0_88|spl0_82),
% 5.20/1.07 inference(split_clause,[status(thm)],[f8003,f7997,f8000,f7961])).
% 5.20/1.07 fof(f8005,plain,(
% 5.20/1.07 ![X0,X1]: (~in(X0,sk0_13)|~in(X1,sk0_13)|~in(sk0_13,set_union2(X0,X1)))),
% 5.20/1.07 inference(resolution,[status(thm)],[f6756,f48])).
% 5.20/1.07 fof(f8006,plain,(
% 5.20/1.07 spl0_89 <=> ~in(X0,sk0_13)|in(X0,sk0_13)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f8009,plain,(
% 5.20/1.07 ![X0]: (~in(empty_set,sk0_13)|~in(X0,sk0_13)|in(X0,sk0_13))),
% 5.20/1.07 inference(paramodulation,[status(thm)],[f2884,f6756])).
% 5.20/1.07 fof(f8010,plain,(
% 5.20/1.07 ~spl0_57|spl0_89),
% 5.20/1.07 inference(split_clause,[status(thm)],[f8009,f6738,f8006])).
% 5.20/1.07 fof(f8015,plain,(
% 5.20/1.07 $false|spl0_1|spl0_88),
% 5.20/1.07 inference(forward_subsumption_resolution,[status(thm)],[f8002,f4790])).
% 5.20/1.07 fof(f8016,plain,(
% 5.20/1.07 spl0_1|spl0_88),
% 5.20/1.07 inference(contradiction_clause,[status(thm)],[f8015])).
% 5.20/1.07 fof(f8017,plain,(
% 5.20/1.07 $false|spl0_1|spl0_87),
% 5.20/1.07 inference(forward_subsumption_resolution,[status(thm)],[f7999,f4785])).
% 5.20/1.07 fof(f8018,plain,(
% 5.20/1.07 spl0_1|spl0_87),
% 5.20/1.07 inference(contradiction_clause,[status(thm)],[f8017])).
% 5.20/1.07 fof(f8035,plain,(
% 5.20/1.07 spl0_92 <=> ~in(X0,sk0_14)|~in(sk0_14,X0)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f8038,plain,(
% 5.20/1.07 ![X0]: (~in(empty_set,sk0_14)|~in(X0,sk0_14)|~in(sk0_14,X0))),
% 5.20/1.07 inference(paramodulation,[status(thm)],[f2884,f7987])).
% 5.20/1.07 fof(f8039,plain,(
% 5.20/1.07 ~spl0_55|spl0_92),
% 5.20/1.07 inference(split_clause,[status(thm)],[f8038,f6730,f8035])).
% 5.20/1.07 fof(f8046,plain,(
% 5.20/1.07 spl0_93 <=> ~in(X0,sk0_13)|~in(sk0_13,X0)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f8049,plain,(
% 5.20/1.07 ![X0]: (~in(empty_set,sk0_13)|~in(X0,sk0_13)|~in(sk0_13,X0))),
% 5.20/1.07 inference(paramodulation,[status(thm)],[f2884,f8005])).
% 5.20/1.07 fof(f8050,plain,(
% 5.20/1.07 ~spl0_57|spl0_93),
% 5.20/1.07 inference(split_clause,[status(thm)],[f8049,f6738,f8046])).
% 5.20/1.07 fof(f8165,plain,(
% 5.20/1.07 spl0_96 <=> in(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_14)),
% 5.20/1.07 introduced(split_symbol_definition)).
% 5.20/1.07 fof(f8167,plain,(
% 5.72/1.08 ~in(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_14)|spl0_96),
% 5.72/1.08 inference(component_clause,[status(thm)],[f8165])).
% 5.72/1.08 fof(f8168,plain,(
% 5.72/1.08 spl0_97 <=> in(sk0_12(set_intersection2(sk0_13,sk0_14)),sk0_14)),
% 5.72/1.08 introduced(split_symbol_definition)).
% 5.72/1.08 fof(f8170,plain,(
% 5.72/1.08 ~in(sk0_12(set_intersection2(sk0_13,sk0_14)),sk0_14)|spl0_97),
% 5.72/1.08 inference(component_clause,[status(thm)],[f8168])).
% 5.72/1.08 fof(f8171,plain,(
% 5.72/1.08 ~in(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_14)|~in(sk0_12(set_intersection2(sk0_13,sk0_14)),sk0_14)|spl0_85),
% 5.72/1.08 inference(resolution,[status(thm)],[f7982,f6761])).
% 5.72/1.08 fof(f8172,plain,(
% 5.72/1.08 ~spl0_96|~spl0_97|spl0_85),
% 5.72/1.08 inference(split_clause,[status(thm)],[f8171,f8165,f8168,f7980])).
% 5.72/1.08 fof(f8173,plain,(
% 5.72/1.08 $false|spl0_1|spl0_97),
% 5.72/1.08 inference(forward_subsumption_resolution,[status(thm)],[f8170,f4789])).
% 5.72/1.08 fof(f8174,plain,(
% 5.72/1.08 spl0_1|spl0_97),
% 5.72/1.08 inference(contradiction_clause,[status(thm)],[f8173])).
% 5.72/1.08 fof(f8175,plain,(
% 5.72/1.08 $false|spl0_1|spl0_96),
% 5.72/1.08 inference(forward_subsumption_resolution,[status(thm)],[f8167,f4784])).
% 5.72/1.08 fof(f8176,plain,(
% 5.72/1.08 spl0_1|spl0_96),
% 5.72/1.08 inference(contradiction_clause,[status(thm)],[f8175])).
% 5.72/1.08 fof(f8177,plain,(
% 5.72/1.08 ~in(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_14)|~in(sk0_12(set_intersection2(sk0_13,sk0_14)),sk0_14)|spl0_83),
% 5.72/1.08 inference(resolution,[status(thm)],[f7966,f6755])).
% 5.72/1.08 fof(f8178,plain,(
% 5.72/1.08 ~spl0_96|~spl0_97|spl0_83),
% 5.72/1.08 inference(split_clause,[status(thm)],[f8177,f8165,f8168,f7964])).
% 5.72/1.08 fof(f8180,plain,(
% 5.72/1.08 ~in(sk0_11(set_intersection2(sk0_13,sk0_14)),sk0_13)|~in(sk0_12(set_intersection2(sk0_13,sk0_14)),sk0_13)|spl0_84),
% 5.72/1.08 inference(resolution,[status(thm)],[f7979,f6762])).
% 5.72/1.08 fof(f8181,plain,(
% 5.72/1.08 ~spl0_87|~spl0_88|spl0_84),
% 5.72/1.08 inference(split_clause,[status(thm)],[f8180,f7997,f8000,f7977])).
% 5.72/1.08 fof(f8182,plain,(
% 5.72/1.08 $false),
% 5.72/1.08 inference(sat_refutation,[status(thm)],[f192,f1043,f1282,f1284,f1296,f4779,f5218,f5248,f5255,f6724,f6734,f6742,f6746,f6748,f6750,f6772,f7916,f7953,f7968,f7984,f7992,f8004,f8010,f8016,f8018,f8039,f8050,f8172,f8174,f8176,f8178,f8181])).
% 5.72/1.08 % SZS output end CNFRefutation for theBenchmark.p
% 5.72/1.10 % Elapsed time: 0.749238 seconds
% 5.72/1.10 % CPU time: 5.808440 seconds
% 5.72/1.10 % Memory used: 124.769 MB
%------------------------------------------------------------------------------