TSTP Solution File: SEU210+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU210+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:36:16 EDT 2023
% Result : Theorem 122.33s 15.78s
% Output : CNFRefutation 123.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU210+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n001.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 09:40:00 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 122.33/15.78 % Refutation found
% 122.33/15.78 % SZS status Theorem for theBenchmark: Theorem is valid
% 122.33/15.78 % SZS output start CNFRefutation for theBenchmark
% 122.33/15.78 fof(f1,axiom,(
% 122.33/15.78 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f4,axiom,(
% 122.33/15.78 (! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f5,axiom,(
% 122.33/15.78 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f12,axiom,(
% 122.33/15.78 (! [A] :( relation(A)=> (! [B,C] :( C = relation_inverse_image(A,B)<=> (! [D] :( in(D,C)<=> (? [E] :( in(ordered_pair(D,E),A)& in(E,B) ) )) )) )) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f13,axiom,(
% 122.33/15.78 (! [A] :( relation(A)<=> (! [B] :~ ( in(B,A)& (! [C,D] : B != ordered_pair(C,D) )) )) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f16,axiom,(
% 122.33/15.78 (! [A] :( A = empty_set<=> (! [B] : ~ in(B,A) )) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f19,axiom,(
% 122.33/15.78 (! [A,B] :( ( ~ empty(A)=> ( element(B,A)<=> in(B,A) ) )& ( empty(A)=> ( element(B,A)<=> empty(B) ) ) ) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f20,axiom,(
% 122.33/15.78 (! [A,B,C] :( C = unordered_pair(A,B)<=> (! [D] :( in(D,C)<=> ( D = A| D = B ) ) )) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f24,axiom,(
% 122.33/15.78 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f25,axiom,(
% 122.33/15.78 (! [A,B,C] :( C = set_intersection2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& in(D,B) ) ) )) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f28,axiom,(
% 122.33/15.78 (! [A,B] :( B = union(A)<=> (! [C] :( in(C,B)<=> (? [D] :( in(C,D)& in(D,A) ) )) )) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f30,axiom,(
% 122.33/15.78 (! [A] :( relation(A)=> (! [B] :( B = relation_rng(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(D,C),A) )) )) )) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f32,axiom,(
% 122.33/15.78 (! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f59,axiom,(
% 122.33/15.78 (! [A] : relation(identity_relation(A)) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f67,axiom,(
% 122.33/15.78 (! [A] :(? [B] : element(B,A) ))),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f71,axiom,(
% 122.33/15.78 empty(empty_set) ),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f78,axiom,(
% 122.33/15.78 ( empty(empty_set)& relation(empty_set) ) ),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f85,axiom,(
% 122.33/15.78 (! [A,B] : set_union2(A,A) = A )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f91,lemma,(
% 122.33/15.78 (! [A] : singleton(A) != empty_set )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f102,lemma,(
% 122.33/15.78 (! [A,B] :( (! [C] :( in(C,A)=> in(C,B) ))=> element(A,powerset(B)) ) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f127,lemma,(
% 122.33/15.78 (! [A,B] :( relation(B)=> subset(relation_image(B,A),relation_rng(B)) ) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f133,conjecture,(
% 122.33/15.78 (! [A,B] :( relation(B)=> ~ ( A != empty_set& subset(A,relation_rng(B))& relation_inverse_image(B,A) = empty_set ) ) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f134,negated_conjecture,(
% 122.33/15.78 ~((! [A,B] :( relation(B)=> ~ ( A != empty_set& subset(A,relation_rng(B))& relation_inverse_image(B,A) = empty_set ) ) ))),
% 122.33/15.78 inference(negated_conjecture,[status(cth)],[f133])).
% 122.33/15.78 fof(f137,axiom,(
% 122.33/15.78 (! [A] : set_union2(A,empty_set) = A )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f139,lemma,(
% 122.33/15.78 (! [A,B,C] :( ( subset(A,B)& subset(B,C) )=> subset(A,C) ) )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f146,axiom,(
% 122.33/15.78 (! [A] : set_intersection2(A,empty_set) = empty_set )),
% 122.33/15.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.78 fof(f149,lemma,(
% 122.33/15.80 (! [A] : subset(empty_set,A) )),
% 122.33/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.80 fof(f153,lemma,(
% 122.33/15.80 (! [A,B] : subset(set_difference(A,B),A) )),
% 122.33/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.80 fof(f176,axiom,(
% 122.33/15.80 (! [A] : set_difference(empty_set,A) = empty_set )),
% 122.33/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.80 fof(f183,lemma,(
% 122.33/15.80 ( relation_dom(empty_set) = empty_set& relation_rng(empty_set) = empty_set ) ),
% 122.33/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.80 fof(f190,axiom,(
% 122.33/15.80 (! [A] :( empty(A)=> A = empty_set ) )),
% 122.33/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.80 fof(f192,lemma,(
% 122.33/15.80 (! [A] :( relation_dom(identity_relation(A)) = A& relation_rng(identity_relation(A)) = A ) )),
% 122.33/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.80 fof(f195,lemma,(
% 122.33/15.80 (! [A,B] : subset(A,set_union2(A,B)) )),
% 122.33/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.33/15.80 fof(f209,plain,(
% 122.33/15.80 ![A,B]: (~in(A,B)|~in(B,A))),
% 122.33/15.80 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 122.33/15.80 fof(f210,plain,(
% 122.33/15.80 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f209])).
% 122.33/15.80 fof(f215,plain,(
% 122.33/15.80 ![X0,X1]: (unordered_pair(X0,X1)=unordered_pair(X1,X0))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f4])).
% 122.33/15.80 fof(f216,plain,(
% 122.33/15.80 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f5])).
% 122.33/15.80 fof(f263,plain,(
% 122.33/15.80 ![A]: (~relation(A)|(![B,C]: (C=relation_inverse_image(A,B)<=>(![D]: (in(D,C)<=>(?[E]: (in(ordered_pair(D,E),A)&in(E,B))))))))),
% 122.33/15.80 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 122.33/15.80 fof(f264,plain,(
% 122.33/15.80 ![A]: (~relation(A)|(![B,C]: ((~C=relation_inverse_image(A,B)|(![D]: ((~in(D,C)|(?[E]: (in(ordered_pair(D,E),A)&in(E,B))))&(in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B)))))))&(C=relation_inverse_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(D,E),A)&in(E,B))))))))))),
% 122.33/15.80 inference(NNF_transformation,[status(esa)],[f263])).
% 122.33/15.80 fof(f265,plain,(
% 122.33/15.80 ![A]: (~relation(A)|((![B,C]: (~C=relation_inverse_image(A,B)|((![D]: (~in(D,C)|(?[E]: (in(ordered_pair(D,E),A)&in(E,B)))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B))))))))&(![B,C]: (C=relation_inverse_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(D,E),A)&in(E,B))))))))))),
% 122.33/15.80 inference(miniscoping,[status(esa)],[f264])).
% 122.33/15.80 fof(f266,plain,(
% 122.33/15.80 ![A]: (~relation(A)|((![B,C]: (~C=relation_inverse_image(A,B)|((![D]: (~in(D,C)|(in(ordered_pair(D,sk0_9(D,C,B,A)),A)&in(sk0_9(D,C,B,A),B))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B))))))))&(![B,C]: (C=relation_inverse_image(A,B)|((~in(sk0_10(C,B,A),C)|(![E]: (~in(ordered_pair(sk0_10(C,B,A),E),A)|~in(E,B))))&(in(sk0_10(C,B,A),C)|(in(ordered_pair(sk0_10(C,B,A),sk0_11(C,B,A)),A)&in(sk0_11(C,B,A),B))))))))),
% 122.33/15.80 inference(skolemization,[status(esa)],[f265])).
% 122.33/15.80 fof(f269,plain,(
% 122.33/15.80 ![X0,X1,X2,X3,X4]: (~relation(X0)|~X1=relation_inverse_image(X0,X2)|in(X3,X1)|~in(ordered_pair(X3,X4),X0)|~in(X4,X2))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f266])).
% 122.33/15.80 fof(f273,plain,(
% 122.33/15.80 ![A]: (relation(A)<=>(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D)))))),
% 122.33/15.80 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 122.33/15.80 fof(f274,plain,(
% 122.33/15.80 ![A]: ((~relation(A)|(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D)))))&(relation(A)|(?[B]: (in(B,A)&(![C,D]: ~B=ordered_pair(C,D))))))),
% 122.33/15.80 inference(NNF_transformation,[status(esa)],[f273])).
% 122.33/15.80 fof(f275,plain,(
% 122.33/15.80 (![A]: (~relation(A)|(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D))))))&(![A]: (relation(A)|(?[B]: (in(B,A)&(![C,D]: ~B=ordered_pair(C,D))))))),
% 122.33/15.80 inference(miniscoping,[status(esa)],[f274])).
% 122.33/15.80 fof(f276,plain,(
% 122.33/15.80 (![A]: (~relation(A)|(![B]: (~in(B,A)|B=ordered_pair(sk0_12(B,A),sk0_13(B,A))))))&(![A]: (relation(A)|(in(sk0_14(A),A)&(![C,D]: ~sk0_14(A)=ordered_pair(C,D)))))),
% 122.33/15.80 inference(skolemization,[status(esa)],[f275])).
% 122.33/15.80 fof(f278,plain,(
% 122.33/15.80 ![X0]: (relation(X0)|in(sk0_14(X0),X0))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f276])).
% 122.33/15.80 fof(f299,plain,(
% 122.33/15.80 ![A]: ((~A=empty_set|(![B]: ~in(B,A)))&(A=empty_set|(?[B]: in(B,A))))),
% 122.33/15.80 inference(NNF_transformation,[status(esa)],[f16])).
% 122.33/15.80 fof(f300,plain,(
% 122.33/15.80 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|(?[B]: in(B,A))))),
% 122.33/15.80 inference(miniscoping,[status(esa)],[f299])).
% 122.33/15.80 fof(f301,plain,(
% 122.33/15.80 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|in(sk0_19(A),A)))),
% 122.33/15.80 inference(skolemization,[status(esa)],[f300])).
% 122.33/15.80 fof(f302,plain,(
% 122.33/15.80 ![X0,X1]: (~X0=empty_set|~in(X1,X0))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f301])).
% 122.33/15.80 fof(f303,plain,(
% 122.33/15.80 ![X0]: (X0=empty_set|in(sk0_19(X0),X0))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f301])).
% 122.33/15.80 fof(f319,plain,(
% 122.33/15.80 ![A,B]: ((empty(A)|(element(B,A)<=>in(B,A)))&(~empty(A)|(element(B,A)<=>empty(B))))),
% 122.33/15.80 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 122.33/15.80 fof(f320,plain,(
% 122.33/15.80 ![A,B]: ((empty(A)|((~element(B,A)|in(B,A))&(element(B,A)|~in(B,A))))&(~empty(A)|((~element(B,A)|empty(B))&(element(B,A)|~empty(B)))))),
% 122.33/15.80 inference(NNF_transformation,[status(esa)],[f319])).
% 122.33/15.80 fof(f321,plain,(
% 122.33/15.80 (![A]: (empty(A)|((![B]: (~element(B,A)|in(B,A)))&(![B]: (element(B,A)|~in(B,A))))))&(![A]: (~empty(A)|((![B]: (~element(B,A)|empty(B)))&(![B]: (element(B,A)|~empty(B))))))),
% 122.33/15.80 inference(miniscoping,[status(esa)],[f320])).
% 122.33/15.80 fof(f322,plain,(
% 122.33/15.80 ![X0,X1]: (empty(X0)|~element(X1,X0)|in(X1,X0))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f321])).
% 122.33/15.80 fof(f326,plain,(
% 122.33/15.80 ![A,B,C]: ((~C=unordered_pair(A,B)|(![D]: ((~in(D,C)|(D=A|D=B))&(in(D,C)|(~D=A&~D=B)))))&(C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 122.33/15.80 inference(NNF_transformation,[status(esa)],[f20])).
% 122.33/15.80 fof(f327,plain,(
% 122.33/15.80 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 122.33/15.80 inference(miniscoping,[status(esa)],[f326])).
% 122.33/15.80 fof(f328,plain,(
% 122.33/15.80 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|((~in(sk0_23(C,B,A),C)|(~sk0_23(C,B,A)=A&~sk0_23(C,B,A)=B))&(in(sk0_23(C,B,A),C)|(sk0_23(C,B,A)=A|sk0_23(C,B,A)=B)))))),
% 122.33/15.80 inference(skolemization,[status(esa)],[f327])).
% 122.33/15.80 fof(f330,plain,(
% 122.33/15.80 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X1)),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f328])).
% 122.33/15.80 fof(f359,plain,(
% 122.33/15.80 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 122.33/15.80 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 122.33/15.80 fof(f360,plain,(
% 122.33/15.80 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 122.33/15.80 inference(NNF_transformation,[status(esa)],[f359])).
% 122.33/15.80 fof(f361,plain,(
% 122.33/15.80 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 122.33/15.80 inference(miniscoping,[status(esa)],[f360])).
% 122.33/15.80 fof(f362,plain,(
% 122.33/15.80 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sk0_32(B,A),A)&~in(sk0_32(B,A),B))))),
% 122.33/15.80 inference(skolemization,[status(esa)],[f361])).
% 122.33/15.80 fof(f363,plain,(
% 122.33/15.80 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f362])).
% 122.33/15.80 fof(f364,plain,(
% 122.33/15.80 ![X0,X1]: (subset(X0,X1)|in(sk0_32(X1,X0),X0))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f362])).
% 122.33/15.80 fof(f365,plain,(
% 122.33/15.80 ![X0,X1]: (subset(X0,X1)|~in(sk0_32(X1,X0),X1))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f362])).
% 122.33/15.80 fof(f366,plain,(
% 122.33/15.80 ![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)))))))),
% 122.33/15.80 inference(NNF_transformation,[status(esa)],[f25])).
% 122.33/15.80 fof(f367,plain,(
% 122.33/15.80 (![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)))))))),
% 122.33/15.80 inference(miniscoping,[status(esa)],[f366])).
% 122.33/15.80 fof(f368,plain,(
% 122.33/15.80 (![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_33(C,B,A),C)|(~in(sk0_33(C,B,A),A)|~in(sk0_33(C,B,A),B)))&(in(sk0_33(C,B,A),C)|(in(sk0_33(C,B,A),A)&in(sk0_33(C,B,A),B))))))),
% 122.33/15.80 inference(skolemization,[status(esa)],[f367])).
% 122.33/15.80 fof(f374,plain,(
% 122.33/15.80 ![X0,X1,X2]: (X0=set_intersection2(X1,X2)|in(sk0_33(X0,X2,X1),X0)|in(sk0_33(X0,X2,X1),X2))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f368])).
% 122.33/15.80 fof(f384,plain,(
% 122.33/15.80 ![A,B]: ((~B=union(A)|(![C]: ((~in(C,B)|(?[D]: (in(C,D)&in(D,A))))&(in(C,B)|(![D]: (~in(C,D)|~in(D,A)))))))&(B=union(A)|(?[C]: ((~in(C,B)|(![D]: (~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]: (in(C,D)&in(D,A))))))))),
% 122.33/15.80 inference(NNF_transformation,[status(esa)],[f28])).
% 122.33/15.80 fof(f385,plain,(
% 122.33/15.80 (![A,B]: (~B=union(A)|((![C]: (~in(C,B)|(?[D]: (in(C,D)&in(D,A)))))&(![C]: (in(C,B)|(![D]: (~in(C,D)|~in(D,A))))))))&(![A,B]: (B=union(A)|(?[C]: ((~in(C,B)|(![D]: (~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]: (in(C,D)&in(D,A))))))))),
% 122.33/15.80 inference(miniscoping,[status(esa)],[f384])).
% 122.33/15.80 fof(f386,plain,(
% 122.33/15.80 (![A,B]: (~B=union(A)|((![C]: (~in(C,B)|(in(C,sk0_37(C,B,A))&in(sk0_37(C,B,A),A))))&(![C]: (in(C,B)|(![D]: (~in(C,D)|~in(D,A))))))))&(![A,B]: (B=union(A)|((~in(sk0_38(B,A),B)|(![D]: (~in(sk0_38(B,A),D)|~in(D,A))))&(in(sk0_38(B,A),B)|(in(sk0_38(B,A),sk0_39(B,A))&in(sk0_39(B,A),A))))))),
% 122.33/15.80 inference(skolemization,[status(esa)],[f385])).
% 122.33/15.80 fof(f388,plain,(
% 122.33/15.80 ![X0,X1,X2]: (~X0=union(X1)|~in(X2,X0)|in(sk0_37(X2,X0,X1),X1))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f386])).
% 122.33/15.80 fof(f402,plain,(
% 122.33/15.80 ![A]: (~relation(A)|(![B]: (B=relation_rng(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(D,C),A)))))))),
% 122.33/15.80 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 122.33/15.80 fof(f403,plain,(
% 122.33/15.80 ![A]: (~relation(A)|(![B]: ((~B=relation_rng(A)|(![C]: ((~in(C,B)|(?[D]: in(ordered_pair(D,C),A)))&(in(C,B)|(![D]: ~in(ordered_pair(D,C),A))))))&(B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))&(in(C,B)|(?[D]: in(ordered_pair(D,C),A)))))))))),
% 122.33/15.80 inference(NNF_transformation,[status(esa)],[f402])).
% 122.33/15.80 fof(f404,plain,(
% 122.33/15.80 ![A]: (~relation(A)|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|(?[D]: in(ordered_pair(D,C),A))))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))))))&(![B]: (B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))&(in(C,B)|(?[D]: in(ordered_pair(D,C),A)))))))))),
% 122.33/15.80 inference(miniscoping,[status(esa)],[f403])).
% 122.33/15.80 fof(f405,plain,(
% 122.33/15.80 ![A]: (~relation(A)|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|in(ordered_pair(sk0_41(C,B,A),C),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))))))&(![B]: (B=relation_rng(A)|((~in(sk0_42(B,A),B)|(![D]: ~in(ordered_pair(D,sk0_42(B,A)),A)))&(in(sk0_42(B,A),B)|in(ordered_pair(sk0_43(B,A),sk0_42(B,A)),A)))))))),
% 122.33/15.80 inference(skolemization,[status(esa)],[f404])).
% 122.33/15.80 fof(f406,plain,(
% 122.33/15.80 ![X0,X1,X2]: (~relation(X0)|~X1=relation_rng(X0)|~in(X2,X1)|in(ordered_pair(sk0_41(X2,X1,X0),X2),X0))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f405])).
% 122.33/15.80 fof(f412,plain,(
% 122.33/15.80 ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(unordered_pair(X0,X1),singleton(X0)))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f32])).
% 122.33/15.80 fof(f459,plain,(
% 122.33/15.80 ![X0]: (relation(identity_relation(X0)))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f59])).
% 122.33/15.80 fof(f472,plain,(
% 122.33/15.80 ![A]: element(sk0_51(A),A)),
% 122.33/15.80 inference(skolemization,[status(esa)],[f67])).
% 122.33/15.80 fof(f473,plain,(
% 122.33/15.80 ![X0]: (element(sk0_51(X0),X0))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f472])).
% 122.33/15.80 fof(f480,plain,(
% 122.33/15.80 empty(empty_set)),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f71])).
% 122.33/15.80 fof(f493,plain,(
% 122.33/15.80 relation(empty_set)),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f78])).
% 122.33/15.80 fof(f509,plain,(
% 122.33/15.80 ![A]: set_union2(A,A)=A),
% 122.33/15.80 inference(miniscoping,[status(esa)],[f85])).
% 122.33/15.80 fof(f510,plain,(
% 122.33/15.80 ![X0]: (set_union2(X0,X0)=X0)),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f509])).
% 122.33/15.80 fof(f521,plain,(
% 122.33/15.80 ![X0]: (~singleton(X0)=empty_set)),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f91])).
% 122.33/15.80 fof(f553,plain,(
% 122.33/15.80 ![A,B]: ((?[C]: (in(C,A)&~in(C,B)))|element(A,powerset(B)))),
% 122.33/15.80 inference(pre_NNF_transformation,[status(esa)],[f102])).
% 122.33/15.80 fof(f554,plain,(
% 122.33/15.80 ![A,B]: ((in(sk0_52(B,A),A)&~in(sk0_52(B,A),B))|element(A,powerset(B)))),
% 122.33/15.80 inference(skolemization,[status(esa)],[f553])).
% 122.33/15.80 fof(f555,plain,(
% 122.33/15.80 ![X0,X1]: (in(sk0_52(X0,X1),X1)|element(X1,powerset(X0)))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f554])).
% 122.33/15.80 fof(f556,plain,(
% 122.33/15.80 ![X0,X1]: (~in(sk0_52(X0,X1),X0)|element(X1,powerset(X0)))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f554])).
% 122.33/15.80 fof(f636,plain,(
% 122.33/15.80 ![A,B]: (~relation(B)|subset(relation_image(B,A),relation_rng(B)))),
% 122.33/15.80 inference(pre_NNF_transformation,[status(esa)],[f127])).
% 122.33/15.80 fof(f637,plain,(
% 122.33/15.80 ![B]: (~relation(B)|(![A]: subset(relation_image(B,A),relation_rng(B))))),
% 122.33/15.80 inference(miniscoping,[status(esa)],[f636])).
% 122.33/15.80 fof(f638,plain,(
% 122.33/15.80 ![X0,X1]: (~relation(X0)|subset(relation_image(X0,X1),relation_rng(X0)))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f637])).
% 122.33/15.80 fof(f657,plain,(
% 122.33/15.80 (?[A,B]: (relation(B)&((~A=empty_set&subset(A,relation_rng(B)))&relation_inverse_image(B,A)=empty_set)))),
% 122.33/15.80 inference(pre_NNF_transformation,[status(esa)],[f134])).
% 122.33/15.80 fof(f658,plain,(
% 122.33/15.80 ?[B]: (relation(B)&(?[A]: ((~A=empty_set&subset(A,relation_rng(B)))&relation_inverse_image(B,A)=empty_set)))),
% 122.33/15.80 inference(miniscoping,[status(esa)],[f657])).
% 122.33/15.80 fof(f659,plain,(
% 122.33/15.80 (relation(sk0_62)&((~sk0_63=empty_set&subset(sk0_63,relation_rng(sk0_62)))&relation_inverse_image(sk0_62,sk0_63)=empty_set))),
% 122.33/15.80 inference(skolemization,[status(esa)],[f658])).
% 122.33/15.80 fof(f660,plain,(
% 122.33/15.80 relation(sk0_62)),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f659])).
% 122.33/15.80 fof(f661,plain,(
% 122.33/15.80 ~sk0_63=empty_set),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f659])).
% 122.33/15.80 fof(f662,plain,(
% 122.33/15.80 subset(sk0_63,relation_rng(sk0_62))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f659])).
% 122.33/15.80 fof(f663,plain,(
% 122.33/15.80 relation_inverse_image(sk0_62,sk0_63)=empty_set),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f659])).
% 122.33/15.80 fof(f667,plain,(
% 122.33/15.80 ![X0]: (set_union2(X0,empty_set)=X0)),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f137])).
% 122.33/15.80 fof(f670,plain,(
% 122.33/15.80 ![A,B,C]: ((~subset(A,B)|~subset(B,C))|subset(A,C))),
% 122.33/15.80 inference(pre_NNF_transformation,[status(esa)],[f139])).
% 122.33/15.80 fof(f671,plain,(
% 122.33/15.80 ![A,C]: ((![B]: (~subset(A,B)|~subset(B,C)))|subset(A,C))),
% 122.33/15.80 inference(miniscoping,[status(esa)],[f670])).
% 122.33/15.80 fof(f672,plain,(
% 122.33/15.80 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X1,X2)|subset(X0,X2))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f671])).
% 122.33/15.80 fof(f688,plain,(
% 122.33/15.80 ![X0]: (set_intersection2(X0,empty_set)=empty_set)),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f146])).
% 122.33/15.80 fof(f696,plain,(
% 122.33/15.80 ![X0]: (subset(empty_set,X0))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f149])).
% 122.33/15.80 fof(f707,plain,(
% 122.33/15.80 ![X0,X1]: (subset(set_difference(X0,X1),X0))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f153])).
% 122.33/15.80 fof(f767,plain,(
% 122.33/15.80 ![X0]: (set_difference(empty_set,X0)=empty_set)),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f176])).
% 122.33/15.80 fof(f788,plain,(
% 122.33/15.80 relation_rng(empty_set)=empty_set),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f183])).
% 122.33/15.80 fof(f806,plain,(
% 122.33/15.80 ![A]: (~empty(A)|A=empty_set)),
% 122.33/15.80 inference(pre_NNF_transformation,[status(esa)],[f190])).
% 122.33/15.80 fof(f807,plain,(
% 122.33/15.80 ![X0]: (~empty(X0)|X0=empty_set)),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f806])).
% 122.33/15.80 fof(f810,plain,(
% 122.33/15.80 (![A]: relation_dom(identity_relation(A))=A)&(![A]: relation_rng(identity_relation(A))=A)),
% 122.33/15.80 inference(miniscoping,[status(esa)],[f192])).
% 122.33/15.80 fof(f812,plain,(
% 122.33/15.80 ![X0]: (relation_rng(identity_relation(X0))=X0)),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f810])).
% 122.33/15.80 fof(f822,plain,(
% 122.33/15.80 ![X0,X1]: (subset(X0,set_union2(X0,X1)))),
% 122.33/15.80 inference(cnf_transformation,[status(esa)],[f195])).
% 122.33/15.80 fof(f889,plain,(
% 122.33/15.80 ![X0,X1,X2,X3]: (~relation(X0)|in(X1,relation_inverse_image(X0,X2))|~in(ordered_pair(X1,X3),X0)|~in(X3,X2))),
% 122.33/15.80 inference(destructive_equality_resolution,[status(esa)],[f269])).
% 122.33/15.80 fof(f897,plain,(
% 122.33/15.80 ![X0]: (~in(X0,empty_set))),
% 122.33/15.80 inference(destructive_equality_resolution,[status(esa)],[f302])).
% 122.33/15.80 fof(f901,plain,(
% 122.33/15.80 ![X0,X1]: (in(X0,unordered_pair(X0,X1)))),
% 122.33/15.80 inference(destructive_equality_resolution,[status(esa)],[f330])).
% 122.33/15.80 fof(f914,plain,(
% 122.33/15.80 ![X0,X1]: (~in(X0,union(X1))|in(sk0_37(X0,union(X1),X1),X1))),
% 122.33/15.80 inference(destructive_equality_resolution,[status(esa)],[f388])).
% 122.33/15.80 fof(f919,plain,(
% 122.33/15.80 ![X0,X1]: (~relation(X0)|~in(X1,relation_rng(X0))|in(ordered_pair(sk0_41(X1,relation_rng(X0),X0),X1),X0))),
% 122.33/15.80 inference(destructive_equality_resolution,[status(esa)],[f406])).
% 122.33/15.80 fof(f934,plain,(
% 122.33/15.80 spl0_0 <=> empty(empty_set)),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f936,plain,(
% 122.33/15.80 ~empty(empty_set)|spl0_0),
% 122.33/15.80 inference(component_clause,[status(thm)],[f934])).
% 122.33/15.80 fof(f963,plain,(
% 122.33/15.80 ![X0]: (~in(X0,sk0_63)|in(X0,relation_rng(sk0_62)))),
% 122.33/15.80 inference(resolution,[status(thm)],[f363,f662])).
% 122.33/15.80 fof(f975,plain,(
% 122.33/15.80 spl0_7 <=> relation(sk0_62)),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f977,plain,(
% 122.33/15.80 ~relation(sk0_62)|spl0_7),
% 122.33/15.80 inference(component_clause,[status(thm)],[f975])).
% 122.33/15.80 fof(f983,plain,(
% 122.33/15.80 $false|spl0_7),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f977,f660])).
% 122.33/15.80 fof(f984,plain,(
% 122.33/15.80 spl0_7),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f983])).
% 122.33/15.80 fof(f987,plain,(
% 122.33/15.80 ![X0]: (~subset(X0,sk0_63)|subset(X0,relation_rng(sk0_62)))),
% 122.33/15.80 inference(resolution,[status(thm)],[f672,f662])).
% 122.33/15.80 fof(f989,plain,(
% 122.33/15.80 ![X0,X1]: (~subset(X0,sk0_63)|~in(X1,X0)|in(X1,relation_rng(sk0_62)))),
% 122.33/15.80 inference(resolution,[status(thm)],[f987,f363])).
% 122.33/15.80 fof(f1806,plain,(
% 122.33/15.80 spl0_90 <=> sk0_63=empty_set),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f1807,plain,(
% 122.33/15.80 sk0_63=empty_set|~spl0_90),
% 122.33/15.80 inference(component_clause,[status(thm)],[f1806])).
% 122.33/15.80 fof(f1817,plain,(
% 122.33/15.80 spl0_93 <=> empty(sk0_63)),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f1818,plain,(
% 122.33/15.80 empty(sk0_63)|~spl0_93),
% 122.33/15.80 inference(component_clause,[status(thm)],[f1817])).
% 122.33/15.80 fof(f1856,plain,(
% 122.33/15.80 spl0_97 <=> subset(empty_set,sk0_62)),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f1858,plain,(
% 122.33/15.80 ~subset(empty_set,sk0_62)|spl0_97),
% 122.33/15.80 inference(component_clause,[status(thm)],[f1856])).
% 122.33/15.80 fof(f2059,plain,(
% 122.33/15.80 sk0_63=empty_set|~spl0_93),
% 122.33/15.80 inference(resolution,[status(thm)],[f807,f1818])).
% 122.33/15.80 fof(f2060,plain,(
% 122.33/15.80 $false|~spl0_93),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f2059,f661])).
% 122.33/15.80 fof(f2061,plain,(
% 122.33/15.80 ~spl0_93),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f2060])).
% 122.33/15.80 fof(f2071,plain,(
% 122.33/15.80 spl0_115 <=> relation(identity_relation(empty_set))),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f2073,plain,(
% 122.33/15.80 ~relation(identity_relation(empty_set))|spl0_115),
% 122.33/15.80 inference(component_clause,[status(thm)],[f2071])).
% 122.33/15.80 fof(f2101,plain,(
% 122.33/15.80 $false|spl0_115),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f2073,f459])).
% 122.33/15.80 fof(f2102,plain,(
% 122.33/15.80 spl0_115),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f2101])).
% 122.33/15.80 fof(f2154,plain,(
% 122.33/15.80 ![X0,X1,X2]: (~subset(X0,set_difference(X1,X2))|subset(X0,X1))),
% 122.33/15.80 inference(resolution,[status(thm)],[f707,f672])).
% 122.33/15.80 fof(f2183,plain,(
% 122.33/15.80 ![X0]: (X0=set_union2(empty_set,X0))),
% 122.33/15.80 inference(paramodulation,[status(thm)],[f667,f216])).
% 122.33/15.80 fof(f2186,plain,(
% 122.33/15.80 ![X0,X1]: (subset(X0,set_union2(X1,X0)))),
% 122.33/15.80 inference(paramodulation,[status(thm)],[f216,f822])).
% 122.33/15.80 fof(f2341,plain,(
% 122.33/15.80 ![X0]: (~in(X0,sk0_63)|~in(relation_rng(sk0_62),X0))),
% 122.33/15.80 inference(resolution,[status(thm)],[f963,f210])).
% 122.33/15.80 fof(f2342,plain,(
% 122.33/15.80 spl0_124 <=> ~in(X0,sk0_63)),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f2343,plain,(
% 122.33/15.80 ![X0]: (~in(X0,sk0_63)|~spl0_124)),
% 122.33/15.80 inference(component_clause,[status(thm)],[f2342])).
% 122.33/15.80 fof(f2385,plain,(
% 122.33/15.80 spl0_127 <=> relation(set_union2(empty_set,sk0_62))),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f2387,plain,(
% 122.33/15.80 ~relation(set_union2(empty_set,sk0_62))|spl0_127),
% 122.33/15.80 inference(component_clause,[status(thm)],[f2385])).
% 122.33/15.80 fof(f2392,plain,(
% 122.33/15.80 spl0_128 <=> relation(set_union2(sk0_62,sk0_62))),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f2394,plain,(
% 122.33/15.80 ~relation(set_union2(sk0_62,sk0_62))|spl0_128),
% 122.33/15.80 inference(component_clause,[status(thm)],[f2392])).
% 122.33/15.80 fof(f2397,plain,(
% 122.33/15.80 spl0_129 <=> relation(set_union2(sk0_62,empty_set))),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f2399,plain,(
% 122.33/15.80 ~relation(set_union2(sk0_62,empty_set))|spl0_129),
% 122.33/15.80 inference(component_clause,[status(thm)],[f2397])).
% 122.33/15.80 fof(f2487,plain,(
% 122.33/15.80 ![X0,X1]: (~subset(X0,sk0_63)|~in(X1,X0)|~in(relation_rng(sk0_62),X1))),
% 122.33/15.80 inference(resolution,[status(thm)],[f989,f210])).
% 122.33/15.80 fof(f2851,plain,(
% 122.33/15.80 ![X0,X1,X2]: (subset(set_difference(set_difference(X0,X1),X2),X0))),
% 122.33/15.80 inference(resolution,[status(thm)],[f2154,f707])).
% 122.33/15.80 fof(f3863,plain,(
% 122.33/15.80 spl0_183 <=> in(relation_rng(sk0_62),sk0_63)),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f3866,plain,(
% 122.33/15.80 spl0_184 <=> ~subset(X0,sk0_63)|~in(relation_rng(sk0_62),X0)),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f3871,plain,(
% 122.33/15.80 ~in(relation_rng(sk0_62),sk0_63)|~in(relation_rng(sk0_62),sk0_63)),
% 122.33/15.80 inference(resolution,[status(thm)],[f2341,f963])).
% 122.33/15.80 fof(f3872,plain,(
% 122.33/15.80 ~spl0_183),
% 122.33/15.80 inference(split_clause,[status(thm)],[f3871,f3863])).
% 122.33/15.80 fof(f3939,plain,(
% 122.33/15.80 sk0_63=empty_set|~spl0_124),
% 122.33/15.80 inference(resolution,[status(thm)],[f2343,f303])).
% 122.33/15.80 fof(f3940,plain,(
% 122.33/15.80 $false|~spl0_124),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f3939,f661])).
% 122.33/15.80 fof(f3941,plain,(
% 122.33/15.80 ~spl0_124),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f3940])).
% 122.33/15.80 fof(f4153,plain,(
% 122.33/15.80 $false|spl0_0),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f936,f480])).
% 122.33/15.80 fof(f4154,plain,(
% 122.33/15.80 spl0_0),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f4153])).
% 122.33/15.80 fof(f5949,plain,(
% 122.33/15.80 ![X0]: (subset(X0,relation_rng(sk0_62))|~in(sk0_32(relation_rng(sk0_62),X0),sk0_63))),
% 122.33/15.80 inference(resolution,[status(thm)],[f365,f963])).
% 122.33/15.80 fof(f6184,plain,(
% 122.33/15.80 spl0_257 <=> ~empty(X0)),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f6185,plain,(
% 122.33/15.80 ![X0]: (~empty(X0)|~spl0_257)),
% 122.33/15.80 inference(component_clause,[status(thm)],[f6184])).
% 122.33/15.80 fof(f6534,plain,(
% 122.33/15.80 spl0_270 <=> ~empty(X0)|~empty(X0)),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f6535,plain,(
% 122.33/15.80 ![X0]: (~empty(X0)|~empty(X0)|~spl0_270)),
% 122.33/15.80 inference(component_clause,[status(thm)],[f6534])).
% 122.33/15.80 fof(f6542,plain,(
% 122.33/15.80 ![X0]: (~empty(X0)|~spl0_270)),
% 122.33/15.80 inference(duplicate_literals_removal,[status(esa)],[f6535])).
% 122.33/15.80 fof(f6612,plain,(
% 122.33/15.80 spl0_272 <=> subset(sk0_63,relation_rng(sk0_62))),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f6615,plain,(
% 122.33/15.80 subset(sk0_63,relation_rng(sk0_62))|subset(sk0_63,relation_rng(sk0_62))),
% 122.33/15.80 inference(resolution,[status(thm)],[f5949,f364])).
% 122.33/15.80 fof(f6616,plain,(
% 122.33/15.80 spl0_272),
% 122.33/15.80 inference(split_clause,[status(thm)],[f6615,f6612])).
% 122.33/15.80 fof(f6714,plain,(
% 122.33/15.80 spl0_274 <=> ~subset(X0,sk0_63)),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f6715,plain,(
% 122.33/15.80 ![X0]: (~subset(X0,sk0_63)|~spl0_274)),
% 122.33/15.80 inference(component_clause,[status(thm)],[f6714])).
% 122.33/15.80 fof(f6897,plain,(
% 122.33/15.80 $false|~spl0_274),
% 122.33/15.80 inference(resolution,[status(thm)],[f6715,f2851])).
% 122.33/15.80 fof(f6898,plain,(
% 122.33/15.80 ~spl0_274),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f6897])).
% 122.33/15.80 fof(f7573,plain,(
% 122.33/15.80 $false|~spl0_270),
% 122.33/15.80 inference(backward_subsumption_resolution,[status(thm)],[f480,f6542])).
% 122.33/15.80 fof(f7574,plain,(
% 122.33/15.80 ~spl0_270),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f7573])).
% 122.33/15.80 fof(f9409,plain,(
% 122.33/15.80 ![X0,X1]: (X0=set_intersection2(X1,empty_set)|in(sk0_33(X0,empty_set,X1),X0))),
% 122.33/15.80 inference(resolution,[status(thm)],[f374,f897])).
% 122.33/15.80 fof(f9410,plain,(
% 122.33/15.80 ![X0,X1]: (X0=empty_set|in(sk0_33(X0,empty_set,X1),X0))),
% 122.33/15.80 inference(forward_demodulation,[status(thm)],[f688,f9409])).
% 122.33/15.80 fof(f10549,plain,(
% 122.33/15.80 ![X0,X1]: (~relation(identity_relation(X0))|subset(relation_image(identity_relation(X0),X1),X0))),
% 122.33/15.80 inference(paramodulation,[status(thm)],[f812,f638])).
% 122.33/15.80 fof(f10550,plain,(
% 122.33/15.80 ![X0,X1]: (subset(relation_image(identity_relation(X0),X1),X0))),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f10549,f459])).
% 122.33/15.80 fof(f10849,plain,(
% 122.33/15.80 $false|~spl0_257),
% 122.33/15.80 inference(backward_subsumption_resolution,[status(thm)],[f480,f6185])).
% 122.33/15.80 fof(f10850,plain,(
% 122.33/15.80 ~spl0_257),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f10849])).
% 122.33/15.80 fof(f11166,plain,(
% 122.33/15.80 ![X0]: (~in(X0,union(empty_set)))),
% 122.33/15.80 inference(resolution,[status(thm)],[f914,f897])).
% 122.33/15.80 fof(f11424,plain,(
% 122.33/15.80 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_rng(X0))|~relation(X0)|in(sk0_41(X1,relation_rng(X0),X0),relation_inverse_image(X0,X2))|~in(X1,X2))),
% 122.33/15.80 inference(resolution,[status(thm)],[f919,f889])).
% 122.33/15.80 fof(f11425,plain,(
% 122.33/15.80 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_rng(X0))|in(sk0_41(X1,relation_rng(X0),X0),relation_inverse_image(X0,X2))|~in(X1,X2))),
% 122.33/15.80 inference(duplicate_literals_removal,[status(esa)],[f11424])).
% 122.33/15.80 fof(f11868,plain,(
% 122.33/15.80 ![X0]: (~in(X0,union(union(empty_set))))),
% 122.33/15.80 inference(resolution,[status(thm)],[f11166,f914])).
% 122.33/15.80 fof(f12361,plain,(
% 122.33/15.80 ![X0]: (~in(X0,union(union(union(empty_set)))))),
% 122.33/15.80 inference(resolution,[status(thm)],[f11868,f914])).
% 122.33/15.80 fof(f12392,plain,(
% 122.33/15.80 spl0_514 <=> relation(union(union(empty_set)))),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f12394,plain,(
% 122.33/15.80 ~relation(union(union(empty_set)))|spl0_514),
% 122.33/15.80 inference(component_clause,[status(thm)],[f12392])).
% 122.33/15.80 fof(f13555,plain,(
% 122.33/15.80 ![X0,X1]: (in(unordered_pair(X0,X1),ordered_pair(X0,X1)))),
% 122.33/15.80 inference(paramodulation,[status(thm)],[f412,f901])).
% 122.33/15.80 fof(f16051,plain,(
% 122.33/15.80 ![X0,X1]: (in(unordered_pair(X0,X1),ordered_pair(X1,X0)))),
% 122.33/15.80 inference(paramodulation,[status(thm)],[f215,f13555])).
% 122.33/15.80 fof(f16470,plain,(
% 122.33/15.80 spl0_851 <=> relation(union(union(union(empty_set))))),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f16472,plain,(
% 122.33/15.80 ~relation(union(union(union(empty_set))))|spl0_851),
% 122.33/15.80 inference(component_clause,[status(thm)],[f16470])).
% 122.33/15.80 fof(f18189,plain,(
% 122.33/15.80 ![X0,X1]: (~subset(X0,sk0_63)|~in(relation_rng(sk0_62),X0)|~subset(X1,sk0_63)|~in(relation_rng(sk0_62),X1))),
% 122.33/15.80 inference(resolution,[status(thm)],[f2487,f989])).
% 122.33/15.80 fof(f18190,plain,(
% 122.33/15.80 spl0_184),
% 122.33/15.80 inference(split_clause,[status(thm)],[f18189,f3866])).
% 122.33/15.80 fof(f19953,plain,(
% 122.33/15.80 ![X0]: (empty(X0)|in(sk0_51(X0),X0))),
% 122.33/15.80 inference(resolution,[status(thm)],[f473,f322])).
% 122.33/15.80 fof(f20576,plain,(
% 122.33/15.80 spl0_1080 <=> relation(relation_rng(empty_set))),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f20578,plain,(
% 122.33/15.80 ~relation(relation_rng(empty_set))|spl0_1080),
% 122.33/15.80 inference(component_clause,[status(thm)],[f20576])).
% 122.33/15.80 fof(f21968,plain,(
% 122.33/15.80 spl0_1128 <=> ~in(X0,X1)),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f21969,plain,(
% 122.33/15.80 ![X0,X1]: (~in(X0,X1)|~spl0_1128)),
% 122.33/15.80 inference(component_clause,[status(thm)],[f21968])).
% 122.33/15.80 fof(f22062,plain,(
% 122.33/15.80 ![X0]: (element(X0,powerset(relation_rng(sk0_62)))|~in(sk0_52(relation_rng(sk0_62),X0),sk0_63))),
% 122.33/15.80 inference(resolution,[status(thm)],[f556,f963])).
% 122.33/15.80 fof(f22113,plain,(
% 122.33/15.80 spl0_1134 <=> element(sk0_63,powerset(relation_rng(sk0_62)))),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f22116,plain,(
% 122.33/15.80 element(sk0_63,powerset(relation_rng(sk0_62)))|element(sk0_63,powerset(relation_rng(sk0_62)))),
% 122.33/15.80 inference(resolution,[status(thm)],[f22062,f555])).
% 122.33/15.80 fof(f22117,plain,(
% 122.33/15.80 spl0_1134),
% 122.33/15.80 inference(split_clause,[status(thm)],[f22116,f22113])).
% 122.33/15.80 fof(f24643,plain,(
% 122.33/15.80 $false|~spl0_1128),
% 122.33/15.80 inference(backward_subsumption_resolution,[status(thm)],[f16051,f21969])).
% 122.33/15.80 fof(f24644,plain,(
% 122.33/15.80 ~spl0_1128),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f24643])).
% 122.33/15.80 fof(f24822,plain,(
% 122.33/15.80 relation(union(union(empty_set)))),
% 122.33/15.80 inference(resolution,[status(thm)],[f278,f11868])).
% 122.33/15.80 fof(f24823,plain,(
% 122.33/15.80 $false|spl0_514),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f24822,f12394])).
% 122.33/15.80 fof(f24824,plain,(
% 122.33/15.80 spl0_514),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f24823])).
% 122.33/15.80 fof(f25271,plain,(
% 122.33/15.80 relation(union(union(union(empty_set))))),
% 122.33/15.80 inference(resolution,[status(thm)],[f12361,f278])).
% 122.33/15.80 fof(f25272,plain,(
% 122.33/15.80 $false|spl0_851),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f25271,f16472])).
% 122.33/15.80 fof(f25273,plain,(
% 122.33/15.80 spl0_851),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f25272])).
% 122.33/15.80 fof(f29723,plain,(
% 122.33/15.80 spl0_1341 <=> in(sk0_33(sk0_63,empty_set,relation_rng(sk0_62)),sk0_63)),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f29725,plain,(
% 122.33/15.80 ~in(sk0_33(sk0_63,empty_set,relation_rng(sk0_62)),sk0_63)|spl0_1341),
% 122.33/15.80 inference(component_clause,[status(thm)],[f29723])).
% 122.33/15.80 fof(f30524,plain,(
% 122.33/15.80 sk0_63=empty_set|spl0_1341),
% 122.33/15.80 inference(resolution,[status(thm)],[f29725,f9410])).
% 122.33/15.80 fof(f30525,plain,(
% 122.33/15.80 $false|spl0_1341),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f30524,f661])).
% 122.33/15.80 fof(f30526,plain,(
% 122.33/15.80 spl0_1341),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f30525])).
% 122.33/15.80 fof(f30909,plain,(
% 122.33/15.80 spl0_1373 <=> ~subset(X0,empty_set)),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f30910,plain,(
% 122.33/15.80 ![X0]: (~subset(X0,empty_set)|~spl0_1373)),
% 122.33/15.80 inference(component_clause,[status(thm)],[f30909])).
% 122.33/15.80 fof(f32475,plain,(
% 122.33/15.80 spl0_1420 <=> singleton(empty_set)=empty_set),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f32476,plain,(
% 122.33/15.80 singleton(empty_set)=empty_set|~spl0_1420),
% 122.33/15.80 inference(component_clause,[status(thm)],[f32475])).
% 122.33/15.80 fof(f32538,plain,(
% 122.33/15.80 $false|~spl0_1420),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f32476,f521])).
% 122.33/15.80 fof(f32539,plain,(
% 122.33/15.80 ~spl0_1420),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f32538])).
% 122.33/15.80 fof(f32551,plain,(
% 122.33/15.80 $false|~spl0_1373),
% 122.33/15.80 inference(resolution,[status(thm)],[f30910,f10550])).
% 122.33/15.80 fof(f32552,plain,(
% 122.33/15.80 ~spl0_1373),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f32551])).
% 122.33/15.80 fof(f33059,plain,(
% 122.33/15.80 spl0_1433 <=> ~subset(sk0_62,X0)),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f33060,plain,(
% 122.33/15.80 ![X0]: (~subset(sk0_62,X0)|~spl0_1433)),
% 122.33/15.80 inference(component_clause,[status(thm)],[f33059])).
% 122.33/15.80 fof(f33103,plain,(
% 122.33/15.80 ~relation(empty_set)|spl0_1080),
% 122.33/15.80 inference(forward_demodulation,[status(thm)],[f788,f20578])).
% 122.33/15.80 fof(f33104,plain,(
% 122.33/15.80 $false|spl0_1080),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f33103,f493])).
% 122.33/15.80 fof(f33105,plain,(
% 122.33/15.80 spl0_1080),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f33104])).
% 122.33/15.80 fof(f33106,plain,(
% 122.33/15.80 $false|spl0_97),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f1858,f696])).
% 122.33/15.80 fof(f33107,plain,(
% 122.33/15.80 spl0_97),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f33106])).
% 122.33/15.80 fof(f33108,plain,(
% 122.33/15.80 ~relation(sk0_62)|spl0_129),
% 122.33/15.80 inference(forward_demodulation,[status(thm)],[f667,f2399])).
% 122.33/15.80 fof(f33109,plain,(
% 122.33/15.80 $false|spl0_129),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f33108,f660])).
% 122.33/15.80 fof(f33110,plain,(
% 122.33/15.80 spl0_129),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f33109])).
% 122.33/15.80 fof(f33111,plain,(
% 122.33/15.80 ~relation(sk0_62)|spl0_128),
% 122.33/15.80 inference(forward_demodulation,[status(thm)],[f510,f2394])).
% 122.33/15.80 fof(f33112,plain,(
% 122.33/15.80 $false|spl0_128),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f33111,f660])).
% 122.33/15.80 fof(f33113,plain,(
% 122.33/15.80 spl0_128),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f33112])).
% 122.33/15.80 fof(f33114,plain,(
% 122.33/15.80 ~relation(sk0_62)|spl0_127),
% 122.33/15.80 inference(forward_demodulation,[status(thm)],[f2183,f2387])).
% 122.33/15.80 fof(f33115,plain,(
% 122.33/15.80 $false|spl0_127),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f33114,f660])).
% 122.33/15.80 fof(f33116,plain,(
% 122.33/15.80 spl0_127),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f33115])).
% 122.33/15.80 fof(f33134,plain,(
% 122.33/15.80 $false|~spl0_1433),
% 122.33/15.80 inference(resolution,[status(thm)],[f33060,f2186])).
% 122.33/15.80 fof(f33135,plain,(
% 122.33/15.80 ~spl0_1433),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f33134])).
% 122.33/15.80 fof(f34266,plain,(
% 122.33/15.80 spl0_1443 <=> subset(relation_rng(empty_set),empty_set)),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f34268,plain,(
% 122.33/15.80 ~subset(relation_rng(empty_set),empty_set)|spl0_1443),
% 122.33/15.80 inference(component_clause,[status(thm)],[f34266])).
% 122.33/15.80 fof(f34271,plain,(
% 122.33/15.80 ~subset(empty_set,empty_set)|spl0_1443),
% 122.33/15.80 inference(forward_demodulation,[status(thm)],[f788,f34268])).
% 122.33/15.80 fof(f34272,plain,(
% 122.33/15.80 $false|spl0_1443),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f34271,f696])).
% 122.33/15.80 fof(f34273,plain,(
% 122.33/15.80 spl0_1443),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f34272])).
% 122.33/15.80 fof(f36031,plain,(
% 122.33/15.80 $false|~spl0_90),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f1807,f661])).
% 122.33/15.80 fof(f36032,plain,(
% 122.33/15.80 ~spl0_90),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f36031])).
% 122.33/15.80 fof(f36783,plain,(
% 122.33/15.80 spl0_1498 <=> sk0_63=set_difference(empty_set,relation_rng(sk0_62))),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f36784,plain,(
% 122.33/15.80 sk0_63=set_difference(empty_set,relation_rng(sk0_62))|~spl0_1498),
% 122.33/15.80 inference(component_clause,[status(thm)],[f36783])).
% 122.33/15.80 fof(f36836,plain,(
% 122.33/15.80 sk0_63=empty_set|~spl0_1498),
% 122.33/15.80 inference(forward_demodulation,[status(thm)],[f767,f36784])).
% 122.33/15.80 fof(f36837,plain,(
% 122.33/15.80 $false|~spl0_1498),
% 122.33/15.80 inference(forward_subsumption_resolution,[status(thm)],[f36836,f661])).
% 122.33/15.80 fof(f36838,plain,(
% 122.33/15.80 ~spl0_1498),
% 122.33/15.80 inference(contradiction_clause,[status(thm)],[f36837])).
% 122.33/15.80 fof(f36865,plain,(
% 122.33/15.80 spl0_1503 <=> ~in(X0,relation_rng(sk0_62))|in(sk0_41(X0,relation_rng(sk0_62),sk0_62),empty_set)|~in(X0,sk0_63)),
% 122.33/15.80 introduced(split_symbol_definition)).
% 122.33/15.80 fof(f36866,plain,(
% 122.33/15.80 ![X0]: (~in(X0,relation_rng(sk0_62))|in(sk0_41(X0,relation_rng(sk0_62),sk0_62),empty_set)|~in(X0,sk0_63)|~spl0_1503)),
% 122.33/15.80 inference(component_clause,[status(thm)],[f36865])).
% 122.33/15.80 fof(f36868,plain,(
% 123.09/15.88 ![X0]: (~relation(sk0_62)|~in(X0,relation_rng(sk0_62))|in(sk0_41(X0,relation_rng(sk0_62),sk0_62),empty_set)|~in(X0,sk0_63))),
% 123.09/15.88 inference(paramodulation,[status(thm)],[f663,f11425])).
% 123.09/15.88 fof(f36869,plain,(
% 123.09/15.88 ~spl0_7|spl0_1503),
% 123.09/15.88 inference(split_clause,[status(thm)],[f36868,f975,f36865])).
% 123.09/15.88 fof(f36870,plain,(
% 123.09/15.88 ![X0]: (in(sk0_41(X0,relation_rng(sk0_62),sk0_62),empty_set)|~in(X0,sk0_63)|~spl0_1503)),
% 123.09/15.88 inference(forward_subsumption_resolution,[status(thm)],[f36866,f963])).
% 123.09/15.88 fof(f38321,plain,(
% 123.09/15.88 spl0_1548 <=> empty(relation_rng(empty_set))),
% 123.09/15.88 introduced(split_symbol_definition)).
% 123.09/15.88 fof(f38323,plain,(
% 123.09/15.88 ~empty(relation_rng(empty_set))|spl0_1548),
% 123.09/15.88 inference(component_clause,[status(thm)],[f38321])).
% 123.09/15.88 fof(f38326,plain,(
% 123.09/15.88 ~empty(empty_set)|spl0_1548),
% 123.09/15.88 inference(forward_demodulation,[status(thm)],[f788,f38323])).
% 123.09/15.88 fof(f38327,plain,(
% 123.09/15.88 $false|spl0_1548),
% 123.09/15.88 inference(forward_subsumption_resolution,[status(thm)],[f38326,f480])).
% 123.09/15.88 fof(f38328,plain,(
% 123.09/15.88 spl0_1548),
% 123.09/15.88 inference(contradiction_clause,[status(thm)],[f38327])).
% 123.09/15.88 fof(f38349,plain,(
% 123.09/15.88 ![X0]: (~in(X0,sk0_63)|~spl0_1503)),
% 123.09/15.88 inference(forward_subsumption_resolution,[status(thm)],[f36870,f897])).
% 123.09/15.88 fof(f38400,plain,(
% 123.09/15.88 empty(sk0_63)|~spl0_1503),
% 123.09/15.88 inference(resolution,[status(thm)],[f38349,f19953])).
% 123.09/15.88 fof(f38401,plain,(
% 123.09/15.88 spl0_93|~spl0_1503),
% 123.09/15.88 inference(split_clause,[status(thm)],[f38400,f1817,f36865])).
% 123.09/15.88 fof(f38402,plain,(
% 123.09/15.88 $false),
% 123.09/15.88 inference(sat_refutation,[status(thm)],[f984,f2061,f2102,f3872,f3941,f4154,f6616,f6898,f7574,f10850,f18190,f22117,f24644,f24824,f25273,f30526,f32539,f32552,f33105,f33107,f33110,f33113,f33116,f33135,f34273,f36032,f36838,f36869,f38328,f38401])).
% 123.09/15.88 % SZS output end CNFRefutation for theBenchmark.p
% 123.09/15.93 % Elapsed time: 15.577198 seconds
% 123.09/15.93 % CPU time: 123.165446 seconds
% 123.09/15.93 % Memory used: 472.310 MB
%------------------------------------------------------------------------------