TSTP Solution File: ITP006+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ITP006+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:22:40 EDT 2024
% Result : Theorem 11.54s 1.84s
% Output : CNFRefutation 11.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP006+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 22:42:17 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 11.54/1.84 % Refutation found
% 11.54/1.84 % SZS status Theorem for theBenchmark: Theorem is valid
% 11.54/1.84 % SZS output start CNFRefutation for theBenchmark
% 11.54/1.84 fof(f4,axiom,(
% 11.54/1.84 (! [A,B,F] :( mem(F,arr(A,B))=> (! [X] :( mem(X,A)=> mem(ap(F,X),B) ) )) )),
% 11.54/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.54/1.84 fof(f9,axiom,(
% 11.54/1.84 mem(c_2Ebool_2ET,bool) ),
% 11.54/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.54/1.84 fof(f27,axiom,(
% 11.54/1.84 mem(c_2Ebool_2E_7E,arr(bool,bool)) ),
% 11.54/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.54/1.84 fof(f40,axiom,(
% 11.54/1.84 (! [A_27a] :( ne(A_27a)=> (! [A_27b] :( ne(A_27b)=> (! [V0i] :( mem(V0i,arr(A_27a,A_27b))=> (! [V1P] :( mem(V1P,arr(A_27b,bool))=> ( ( p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS(A_27a,A_27b),V0i),V1P))<=> (! [V2v] :( mem(V2v,A_27b)=> ( p(ap(V1P,V2v))=> (? [V3fv] :( mem(V3fv,A_27a)& p(ap(V1P,ap(V0i,V3fv))) ) )) ) ))& ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL(A_27a,A_27b),V0i),V1P))<=> (! [V4v] :( mem(V4v,A_27b)=> ( ~ p(ap(V1P,V4v))=> (? [V5fv] :( mem(V5fv,A_27a)& ~ p(ap(V1P,ap(V0i,V5fv))) ) )) ) ))& (! [V6i] :( mem(V6i,arr(A_27a,A_27b))=> (! [V7P] :( mem(V7P,arr(A_27b,bool))=> ( p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__POINT(A_27a,A_27b),V6i),V7P))<=> (! [V8fv] :( mem(V8fv,A_27a)=> p(ap(V7P,ap(V6i,V8fv))) ) )) ) )))& (! [V9i] :( mem(V9i,arr(A_27a,A_27b))=> (! [V10P] :( mem(V10P,arr(A_27b,bool))=> ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(A_27a,A_27b),V9i),V10P))<=> (! [V11fv] :( mem(V11fv,A_27a)=> ~ p(ap(V10P,ap(V9i,V11fv))) ) )) ) )))& (! [V12i] :( mem(V12i,arr(A_27a,A_27b))=> (! [V13P] :( mem(V13P,arr(A_27b,bool))=> ( p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__GAP(A_27a,A_27b),V12i),V13P))<=> (! [V14v] :( mem(V14v,A_27b)=> ( p(ap(V13P,V14v))=> (? [V15fv] :( mem(V15fv,A_27a)& V14v = ap(V12i,V15fv) ) )) ) )) ) )))& (! [V16i] :( mem(V16i,arr(A_27a,A_27b))=> (! [V17P] :( mem(V17P,arr(A_27b,bool))=> ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__GAP(A_27a,A_27b),V16i),V17P))<=> (! [V18v] :( mem(V18v,A_27b)=> ( ~ p(ap(V17P,V18v))=> (? [V19fv] :( mem(V19fv,A_27a)& V18v = ap(V16i,V19fv) ) )) ) )) ) )) )) ) )) )) )) )),
% 11.54/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.54/1.84 fof(f52,conjecture,(
% 11.54/1.84 (! [A_27a] :( ne(A_27a)=> (! [A_27b] :( ne(A_27b)=> (! [V0i] :( mem(V0i,arr(A_27b,A_27a))=> (! [V1P] :( mem(V1P,arr(A_27a,bool))=> (! [V2Q] :( mem(V2Q,arr(A_27a,bool))=> ( (! [V3x] :( mem(V3x,A_27a)=> ( p(ap(V2Q,V3x))=> p(ap(V1P,V3x)) ) ))=> ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(A_27b,A_27a),V0i),V1P))=> p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(A_27b,A_27a),V0i),V2Q)) ) ) ) )) )) )) )) )),
% 11.54/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.54/1.84 fof(f53,negated_conjecture,(
% 11.54/1.84 ~((! [A_27a] :( ne(A_27a)=> (! [A_27b] :( ne(A_27b)=> (! [V0i] :( mem(V0i,arr(A_27b,A_27a))=> (! [V1P] :( mem(V1P,arr(A_27a,bool))=> (! [V2Q] :( mem(V2Q,arr(A_27a,bool))=> ( (! [V3x] :( mem(V3x,A_27a)=> ( p(ap(V2Q,V3x))=> p(ap(V1P,V3x)) ) ))=> ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(A_27b,A_27a),V0i),V1P))=> p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(A_27b,A_27a),V0i),V2Q)) ) ) ) )) )) )) )) ))),
% 11.54/1.84 inference(negated_conjecture,[status(cth)],[f52])).
% 11.54/1.84 fof(f58,plain,(
% 11.54/1.84 ![A,B,F]: (~mem(F,arr(A,B))|(![X]: (~mem(X,A)|mem(ap(F,X),B))))),
% 11.54/1.84 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 11.54/1.84 fof(f59,plain,(
% 11.54/1.84 ![X0,X1,X2,X3]: (~mem(X0,arr(X1,X2))|~mem(X3,X1)|mem(ap(X0,X3),X2))),
% 11.54/1.84 inference(cnf_transformation,[status(esa)],[f58])).
% 11.54/1.84 fof(f73,plain,(
% 11.54/1.84 mem(c_2Ebool_2ET,bool)),
% 11.54/1.84 inference(cnf_transformation,[status(esa)],[f9])).
% 11.54/1.84 fof(f115,plain,(
% 11.54/1.84 mem(c_2Ebool_2E_7E,arr(bool,bool))),
% 11.54/1.84 inference(cnf_transformation,[status(esa)],[f27])).
% 11.54/1.84 fof(f178,plain,(
% 11.54/1.84 ![A_27a]: (~ne(A_27a)|(![A_27b]: (~ne(A_27b)|(![V0i]: (~mem(V0i,arr(A_27a,A_27b))|(![V1P]: (~mem(V1P,arr(A_27b,bool))|((((((p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS(A_27a,A_27b),V0i),V1P))<=>(![V2v]: (~mem(V2v,A_27b)|(~p(ap(V1P,V2v))|(?[V3fv]: (mem(V3fv,A_27a)&p(ap(V1P,ap(V0i,V3fv)))))))))&(p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL(A_27a,A_27b),V0i),V1P))<=>(![V4v]: (~mem(V4v,A_27b)|(p(ap(V1P,V4v))|(?[V5fv]: (mem(V5fv,A_27a)&~p(ap(V1P,ap(V0i,V5fv))))))))))&(![V6i]: (~mem(V6i,arr(A_27a,A_27b))|(![V7P]: (~mem(V7P,arr(A_27b,bool))|(p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__POINT(A_27a,A_27b),V6i),V7P))<=>(![V8fv]: (~mem(V8fv,A_27a)|p(ap(V7P,ap(V6i,V8fv)))))))))))&(![V9i]: (~mem(V9i,arr(A_27a,A_27b))|(![V10P]: (~mem(V10P,arr(A_27b,bool))|(p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(A_27a,A_27b),V9i),V10P))<=>(![V11fv]: (~mem(V11fv,A_27a)|~p(ap(V10P,ap(V9i,V11fv)))))))))))&(![V12i]: (~mem(V12i,arr(A_27a,A_27b))|(![V13P]: (~mem(V13P,arr(A_27b,bool))|(p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__GAP(A_27a,A_27b),V12i),V13P))<=>(![V14v]: (~mem(V14v,A_27b)|(~p(ap(V13P,V14v))|(?[V15fv]: (mem(V15fv,A_27a)&V14v=ap(V12i,V15fv))))))))))))&(![V16i]: (~mem(V16i,arr(A_27a,A_27b))|(![V17P]: (~mem(V17P,arr(A_27b,bool))|(p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__GAP(A_27a,A_27b),V16i),V17P))<=>(![V18v]: (~mem(V18v,A_27b)|(p(ap(V17P,V18v))|(?[V19fv]: (mem(V19fv,A_27a)&V18v=ap(V16i,V19fv)))))))))))))))))))),
% 11.54/1.86 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 11.54/1.86 fof(f179,plain,(
% 11.54/1.86 ![A_27a]: (~ne(A_27a)|(![A_27b]: (~ne(A_27b)|(![V0i]: (~mem(V0i,arr(A_27a,A_27b))|(![V1P]: (~mem(V1P,arr(A_27b,bool))|(((((((~p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS(A_27a,A_27b),V0i),V1P))|(![V2v]: (~mem(V2v,A_27b)|(~p(ap(V1P,V2v))|(?[V3fv]: (mem(V3fv,A_27a)&p(ap(V1P,ap(V0i,V3fv)))))))))&(p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS(A_27a,A_27b),V0i),V1P))|(?[V2v]: (mem(V2v,A_27b)&(p(ap(V1P,V2v))&(![V3fv]: (~mem(V3fv,A_27a)|~p(ap(V1P,ap(V0i,V3fv))))))))))&((~p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL(A_27a,A_27b),V0i),V1P))|(![V4v]: (~mem(V4v,A_27b)|(p(ap(V1P,V4v))|(?[V5fv]: (mem(V5fv,A_27a)&~p(ap(V1P,ap(V0i,V5fv)))))))))&(p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL(A_27a,A_27b),V0i),V1P))|(?[V4v]: (mem(V4v,A_27b)&(~p(ap(V1P,V4v))&(![V5fv]: (~mem(V5fv,A_27a)|p(ap(V1P,ap(V0i,V5fv)))))))))))&(![V6i]: (~mem(V6i,arr(A_27a,A_27b))|(![V7P]: (~mem(V7P,arr(A_27b,bool))|((~p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__POINT(A_27a,A_27b),V6i),V7P))|(![V8fv]: (~mem(V8fv,A_27a)|p(ap(V7P,ap(V6i,V8fv))))))&(p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__POINT(A_27a,A_27b),V6i),V7P))|(?[V8fv]: (mem(V8fv,A_27a)&~p(ap(V7P,ap(V6i,V8fv))))))))))))&(![V9i]: (~mem(V9i,arr(A_27a,A_27b))|(![V10P]: (~mem(V10P,arr(A_27b,bool))|((~p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(A_27a,A_27b),V9i),V10P))|(![V11fv]: (~mem(V11fv,A_27a)|~p(ap(V10P,ap(V9i,V11fv))))))&(p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(A_27a,A_27b),V9i),V10P))|(?[V11fv]: (mem(V11fv,A_27a)&p(ap(V10P,ap(V9i,V11fv))))))))))))&(![V12i]: (~mem(V12i,arr(A_27a,A_27b))|(![V13P]: (~mem(V13P,arr(A_27b,bool))|((~p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__GAP(A_27a,A_27b),V12i),V13P))|(![V14v]: (~mem(V14v,A_27b)|(~p(ap(V13P,V14v))|(?[V15fv]: (mem(V15fv,A_27a)&V14v=ap(V12i,V15fv)))))))&(p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__GAP(A_27a,A_27b),V12i),V13P))|(?[V14v]: (mem(V14v,A_27b)&(p(ap(V13P,V14v))&(![V15fv]: (~mem(V15fv,A_27a)|~V14v=ap(V12i,V15fv)))))))))))))&(![V16i]: (~mem(V16i,arr(A_27a,A_27b))|(![V17P]: (~mem(V17P,arr(A_27b,bool))|((~p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__GAP(A_27a,A_27b),V16i),V17P))|(![V18v]: (~mem(V18v,A_27b)|(p(ap(V17P,V18v))|(?[V19fv]: (mem(V19fv,A_27a)&V18v=ap(V16i,V19fv)))))))&(p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__GAP(A_27a,A_27b),V16i),V17P))|(?[V18v]: (mem(V18v,A_27b)&(~p(ap(V17P,V18v))&(![V19fv]: (~mem(V19fv,A_27a)|~V18v=ap(V16i,V19fv))))))))))))))))))))),
% 11.54/1.86 inference(NNF_transformation,[status(esa)],[f178])).
% 11.54/1.86 fof(f180,plain,(
% 11.54/1.86 ![A_27a]: (~ne(A_27a)|(![A_27b]: (~ne(A_27b)|(![V0i]: (~mem(V0i,arr(A_27a,A_27b))|(![V1P]: (~mem(V1P,arr(A_27b,bool))|(((((((~p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS(A_27a,A_27b),V0i),V1P))|(![V2v]: (~mem(V2v,A_27b)|(~p(ap(V1P,V2v))|(mem(sk0_3(V2v,V1P,V0i,A_27b,A_27a),A_27a)&p(ap(V1P,ap(V0i,sk0_3(V2v,V1P,V0i,A_27b,A_27a)))))))))&(p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS(A_27a,A_27b),V0i),V1P))|(mem(sk0_4(V1P,V0i,A_27b,A_27a),A_27b)&(p(ap(V1P,sk0_4(V1P,V0i,A_27b,A_27a)))&(![V3fv]: (~mem(V3fv,A_27a)|~p(ap(V1P,ap(V0i,V3fv)))))))))&((~p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL(A_27a,A_27b),V0i),V1P))|(![V4v]: (~mem(V4v,A_27b)|(p(ap(V1P,V4v))|(mem(sk0_5(V4v,V1P,V0i,A_27b,A_27a),A_27a)&~p(ap(V1P,ap(V0i,sk0_5(V4v,V1P,V0i,A_27b,A_27a)))))))))&(p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL(A_27a,A_27b),V0i),V1P))|(mem(sk0_6(V1P,V0i,A_27b,A_27a),A_27b)&(~p(ap(V1P,sk0_6(V1P,V0i,A_27b,A_27a)))&(![V5fv]: (~mem(V5fv,A_27a)|p(ap(V1P,ap(V0i,V5fv))))))))))&(![V6i]: (~mem(V6i,arr(A_27a,A_27b))|(![V7P]: (~mem(V7P,arr(A_27b,bool))|((~p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__POINT(A_27a,A_27b),V6i),V7P))|(![V8fv]: (~mem(V8fv,A_27a)|p(ap(V7P,ap(V6i,V8fv))))))&(p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__POINT(A_27a,A_27b),V6i),V7P))|(mem(sk0_7(V7P,V6i,V1P,V0i,A_27b,A_27a),A_27a)&~p(ap(V7P,ap(V6i,sk0_7(V7P,V6i,V1P,V0i,A_27b,A_27a))))))))))))&(![V9i]: (~mem(V9i,arr(A_27a,A_27b))|(![V10P]: (~mem(V10P,arr(A_27b,bool))|((~p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(A_27a,A_27b),V9i),V10P))|(![V11fv]: (~mem(V11fv,A_27a)|~p(ap(V10P,ap(V9i,V11fv))))))&(p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(A_27a,A_27b),V9i),V10P))|(mem(sk0_8(V10P,V9i,V1P,V0i,A_27b,A_27a),A_27a)&p(ap(V10P,ap(V9i,sk0_8(V10P,V9i,V1P,V0i,A_27b,A_27a))))))))))))&(![V12i]: (~mem(V12i,arr(A_27a,A_27b))|(![V13P]: (~mem(V13P,arr(A_27b,bool))|((~p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__GAP(A_27a,A_27b),V12i),V13P))|(![V14v]: (~mem(V14v,A_27b)|(~p(ap(V13P,V14v))|(mem(sk0_9(V14v,V13P,V12i,V1P,V0i,A_27b,A_27a),A_27a)&V14v=ap(V12i,sk0_9(V14v,V13P,V12i,V1P,V0i,A_27b,A_27a)))))))&(p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__GAP(A_27a,A_27b),V12i),V13P))|(mem(sk0_10(V13P,V12i,V1P,V0i,A_27b,A_27a),A_27b)&(p(ap(V13P,sk0_10(V13P,V12i,V1P,V0i,A_27b,A_27a)))&(![V15fv]: (~mem(V15fv,A_27a)|~sk0_10(V13P,V12i,V1P,V0i,A_27b,A_27a)=ap(V12i,V15fv))))))))))))&(![V16i]: (~mem(V16i,arr(A_27a,A_27b))|(![V17P]: (~mem(V17P,arr(A_27b,bool))|((~p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__GAP(A_27a,A_27b),V16i),V17P))|(![V18v]: (~mem(V18v,A_27b)|(p(ap(V17P,V18v))|(mem(sk0_11(V18v,V17P,V16i,V1P,V0i,A_27b,A_27a),A_27a)&V18v=ap(V16i,sk0_11(V18v,V17P,V16i,V1P,V0i,A_27b,A_27a)))))))&(p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__GAP(A_27a,A_27b),V16i),V17P))|(mem(sk0_12(V17P,V16i,V1P,V0i,A_27b,A_27a),A_27b)&(~p(ap(V17P,sk0_12(V17P,V16i,V1P,V0i,A_27b,A_27a)))&(![V19fv]: (~mem(V19fv,A_27a)|~sk0_12(V17P,V16i,V1P,V0i,A_27b,A_27a)=ap(V16i,V19fv)))))))))))))))))))),
% 11.54/1.86 inference(skolemization,[status(esa)],[f179])).
% 11.54/1.86 fof(f194,plain,(
% 11.54/1.86 ![X0,X1,X2,X3,X4,X5,X6]: (~ne(X0)|~ne(X1)|~mem(X2,arr(X0,X1))|~mem(X3,arr(X1,bool))|~mem(X4,arr(X0,X1))|~mem(X5,arr(X1,bool))|~p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X4),X5))|~mem(X6,X0)|~p(ap(X5,ap(X4,X6))))),
% 11.54/1.86 inference(cnf_transformation,[status(esa)],[f180])).
% 11.54/1.86 fof(f195,plain,(
% 11.54/1.86 ![X0,X1,X2,X3,X4,X5]: (~ne(X0)|~ne(X1)|~mem(X2,arr(X0,X1))|~mem(X3,arr(X1,bool))|~mem(X4,arr(X0,X1))|~mem(X5,arr(X1,bool))|p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X4),X5))|mem(sk0_8(X5,X4,X3,X2,X1,X0),X0))),
% 11.54/1.86 inference(cnf_transformation,[status(esa)],[f180])).
% 11.54/1.86 fof(f196,plain,(
% 11.54/1.86 ![X0,X1,X2,X3,X4,X5]: (~ne(X0)|~ne(X1)|~mem(X2,arr(X0,X1))|~mem(X3,arr(X1,bool))|~mem(X4,arr(X0,X1))|~mem(X5,arr(X1,bool))|p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X4),X5))|p(ap(X5,ap(X4,sk0_8(X5,X4,X3,X2,X1,X0)))))),
% 11.54/1.86 inference(cnf_transformation,[status(esa)],[f180])).
% 11.54/1.86 fof(f281,plain,(
% 11.54/1.86 (?[A_27a]: (ne(A_27a)&(?[A_27b]: (ne(A_27b)&(?[V0i]: (mem(V0i,arr(A_27b,A_27a))&(?[V1P]: (mem(V1P,arr(A_27a,bool))&(?[V2Q]: (mem(V2Q,arr(A_27a,bool))&((![V3x]: (~mem(V3x,A_27a)|(~p(ap(V2Q,V3x))|p(ap(V1P,V3x)))))&(p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(A_27b,A_27a),V0i),V1P))&~p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(A_27b,A_27a),V0i),V2Q))))))))))))))),
% 11.54/1.86 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 11.54/1.86 fof(f282,plain,(
% 11.54/1.86 (ne(sk0_13)&(ne(sk0_14)&(mem(sk0_15,arr(sk0_14,sk0_13))&(mem(sk0_16,arr(sk0_13,bool))&(mem(sk0_17,arr(sk0_13,bool))&((![V3x]: (~mem(V3x,sk0_13)|(~p(ap(sk0_17,V3x))|p(ap(sk0_16,V3x)))))&(p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sk0_14,sk0_13),sk0_15),sk0_16))&~p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sk0_14,sk0_13),sk0_15),sk0_17)))))))))),
% 11.54/1.86 inference(skolemization,[status(esa)],[f281])).
% 11.54/1.86 fof(f283,plain,(
% 11.54/1.86 ne(sk0_13)),
% 11.54/1.86 inference(cnf_transformation,[status(esa)],[f282])).
% 11.54/1.86 fof(f284,plain,(
% 11.54/1.86 ne(sk0_14)),
% 11.54/1.86 inference(cnf_transformation,[status(esa)],[f282])).
% 11.54/1.86 fof(f285,plain,(
% 11.54/1.86 mem(sk0_15,arr(sk0_14,sk0_13))),
% 11.54/1.86 inference(cnf_transformation,[status(esa)],[f282])).
% 11.54/1.86 fof(f286,plain,(
% 11.54/1.86 mem(sk0_16,arr(sk0_13,bool))),
% 11.54/1.86 inference(cnf_transformation,[status(esa)],[f282])).
% 11.54/1.86 fof(f287,plain,(
% 11.54/1.86 mem(sk0_17,arr(sk0_13,bool))),
% 11.54/1.86 inference(cnf_transformation,[status(esa)],[f282])).
% 11.54/1.86 fof(f288,plain,(
% 11.54/1.86 ![X0]: (~mem(X0,sk0_13)|~p(ap(sk0_17,X0))|p(ap(sk0_16,X0)))),
% 11.54/1.86 inference(cnf_transformation,[status(esa)],[f282])).
% 11.54/1.86 fof(f289,plain,(
% 11.54/1.86 p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sk0_14,sk0_13),sk0_15),sk0_16))),
% 11.54/1.86 inference(cnf_transformation,[status(esa)],[f282])).
% 11.54/1.86 fof(f290,plain,(
% 11.54/1.86 ~p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sk0_14,sk0_13),sk0_15),sk0_17))),
% 11.54/1.86 inference(cnf_transformation,[status(esa)],[f282])).
% 11.54/1.86 fof(f428,plain,(
% 11.54/1.86 spl0_3 <=> ne(sk0_14)),
% 11.54/1.86 introduced(split_symbol_definition)).
% 11.54/1.86 fof(f430,plain,(
% 11.54/1.86 ~ne(sk0_14)|spl0_3),
% 11.54/1.86 inference(component_clause,[status(thm)],[f428])).
% 11.54/1.86 fof(f431,plain,(
% 11.54/1.86 spl0_4 <=> ne(sk0_13)),
% 11.54/1.86 introduced(split_symbol_definition)).
% 11.54/1.86 fof(f433,plain,(
% 11.54/1.86 ~ne(sk0_13)|spl0_4),
% 11.54/1.86 inference(component_clause,[status(thm)],[f431])).
% 11.54/1.86 fof(f434,plain,(
% 11.54/1.86 spl0_5 <=> mem(sk0_15,arr(sk0_14,sk0_13))),
% 11.54/1.86 introduced(split_symbol_definition)).
% 11.54/1.86 fof(f436,plain,(
% 11.54/1.86 ~mem(sk0_15,arr(sk0_14,sk0_13))|spl0_5),
% 11.54/1.86 inference(component_clause,[status(thm)],[f434])).
% 11.54/1.86 fof(f437,plain,(
% 11.54/1.86 spl0_6 <=> mem(sk0_16,arr(sk0_13,bool))),
% 11.54/1.86 introduced(split_symbol_definition)).
% 11.54/1.86 fof(f439,plain,(
% 11.54/1.86 ~mem(sk0_16,arr(sk0_13,bool))|spl0_6),
% 11.54/1.86 inference(component_clause,[status(thm)],[f437])).
% 11.54/1.86 fof(f445,plain,(
% 11.54/1.86 $false|spl0_6),
% 11.54/1.86 inference(forward_subsumption_resolution,[status(thm)],[f439,f286])).
% 11.54/1.86 fof(f446,plain,(
% 11.54/1.86 spl0_6),
% 11.54/1.86 inference(contradiction_clause,[status(thm)],[f445])).
% 11.54/1.86 fof(f447,plain,(
% 11.54/1.86 $false|spl0_5),
% 11.54/1.86 inference(forward_subsumption_resolution,[status(thm)],[f436,f285])).
% 11.54/1.86 fof(f448,plain,(
% 11.54/1.86 spl0_5),
% 11.54/1.86 inference(contradiction_clause,[status(thm)],[f447])).
% 11.54/1.86 fof(f449,plain,(
% 11.54/1.86 $false|spl0_4),
% 11.54/1.86 inference(forward_subsumption_resolution,[status(thm)],[f433,f283])).
% 11.54/1.86 fof(f450,plain,(
% 11.54/1.86 spl0_4),
% 11.54/1.86 inference(contradiction_clause,[status(thm)],[f449])).
% 11.54/1.86 fof(f451,plain,(
% 11.54/1.86 $false|spl0_3),
% 11.54/1.86 inference(forward_subsumption_resolution,[status(thm)],[f430,f284])).
% 11.54/1.86 fof(f452,plain,(
% 11.54/1.86 spl0_3),
% 11.54/1.86 inference(contradiction_clause,[status(thm)],[f451])).
% 11.54/1.86 fof(f453,plain,(
% 11.54/1.86 spl0_8 <=> ~mem(X0,arr(sk0_14,sk0_13))),
% 11.54/1.86 introduced(split_symbol_definition)).
% 11.54/1.86 fof(f454,plain,(
% 11.54/1.86 ![X0]: (~mem(X0,arr(sk0_14,sk0_13))|~spl0_8)),
% 11.54/1.86 inference(component_clause,[status(thm)],[f453])).
% 11.54/1.86 fof(f456,plain,(
% 11.54/1.86 spl0_9 <=> ~mem(X1,arr(sk0_13,bool))),
% 11.54/1.86 introduced(split_symbol_definition)).
% 11.54/1.86 fof(f457,plain,(
% 11.54/1.86 ![X0]: (~mem(X0,arr(sk0_13,bool))|~spl0_9)),
% 11.54/1.86 inference(component_clause,[status(thm)],[f456])).
% 11.54/1.86 fof(f459,plain,(
% 11.54/1.86 spl0_10 <=> ~mem(X2,sk0_14)|~p(ap(sk0_16,ap(sk0_15,X2)))),
% 11.54/1.86 introduced(split_symbol_definition)).
% 11.54/1.86 fof(f460,plain,(
% 11.54/1.86 ![X0]: (~mem(X0,sk0_14)|~p(ap(sk0_16,ap(sk0_15,X0)))|~spl0_10)),
% 11.54/1.86 inference(component_clause,[status(thm)],[f459])).
% 11.54/1.86 fof(f462,plain,(
% 11.54/1.86 ![X0,X1,X2]: (~ne(sk0_14)|~ne(sk0_13)|~mem(X0,arr(sk0_14,sk0_13))|~mem(X1,arr(sk0_13,bool))|~mem(sk0_15,arr(sk0_14,sk0_13))|~mem(sk0_16,arr(sk0_13,bool))|~mem(X2,sk0_14)|~p(ap(sk0_16,ap(sk0_15,X2))))),
% 11.54/1.86 inference(resolution,[status(thm)],[f194,f289])).
% 11.54/1.86 fof(f463,plain,(
% 11.54/1.86 ~spl0_3|~spl0_4|spl0_8|spl0_9|~spl0_5|~spl0_6|spl0_10),
% 11.54/1.86 inference(split_clause,[status(thm)],[f462,f428,f431,f453,f456,f434,f437,f459])).
% 11.54/1.86 fof(f734,plain,(
% 11.54/1.86 spl0_26 <=> mem(sk0_17,arr(sk0_13,bool))),
% 11.54/1.86 introduced(split_symbol_definition)).
% 11.54/1.86 fof(f736,plain,(
% 11.54/1.86 ~mem(sk0_17,arr(sk0_13,bool))|spl0_26),
% 11.54/1.86 inference(component_clause,[status(thm)],[f734])).
% 11.54/1.86 fof(f742,plain,(
% 11.54/1.86 $false|spl0_26),
% 11.54/1.86 inference(forward_subsumption_resolution,[status(thm)],[f736,f287])).
% 11.54/1.86 fof(f743,plain,(
% 11.54/1.86 spl0_26),
% 11.54/1.86 inference(contradiction_clause,[status(thm)],[f742])).
% 11.54/1.86 fof(f1316,plain,(
% 11.54/1.86 $false|~spl0_9),
% 11.54/1.86 inference(backward_subsumption_resolution,[status(thm)],[f287,f457])).
% 11.54/1.86 fof(f1317,plain,(
% 11.54/1.86 ~spl0_9),
% 11.54/1.86 inference(contradiction_clause,[status(thm)],[f1316])).
% 11.54/1.86 fof(f1328,plain,(
% 11.54/1.86 $false|~spl0_8),
% 11.54/1.86 inference(backward_subsumption_resolution,[status(thm)],[f285,f454])).
% 11.54/1.86 fof(f1329,plain,(
% 11.54/1.86 ~spl0_8),
% 11.54/1.86 inference(contradiction_clause,[status(thm)],[f1328])).
% 11.54/1.86 fof(f1330,plain,(
% 11.54/1.86 ![X0]: (~mem(X0,sk0_14)|mem(ap(sk0_15,X0),sk0_13))),
% 11.54/1.86 inference(resolution,[status(thm)],[f285,f59])).
% 11.54/1.86 fof(f1561,plain,(
% 11.54/1.86 spl0_75 <=> mem(c_2Ebool_2E_7E,arr(bool,bool))),
% 11.54/1.86 introduced(split_symbol_definition)).
% 11.54/1.86 fof(f1563,plain,(
% 11.54/1.86 ~mem(c_2Ebool_2E_7E,arr(bool,bool))|spl0_75),
% 11.54/1.86 inference(component_clause,[status(thm)],[f1561])).
% 11.54/1.86 fof(f1569,plain,(
% 11.54/1.86 $false|spl0_75),
% 11.54/1.86 inference(forward_subsumption_resolution,[status(thm)],[f1563,f115])).
% 11.54/1.86 fof(f1570,plain,(
% 11.54/1.86 spl0_75),
% 11.54/1.86 inference(contradiction_clause,[status(thm)],[f1569])).
% 11.54/1.86 fof(f1884,plain,(
% 11.54/1.86 ![X0,X1,X2,X3,X4]: (~ne(X0)|~ne(X1)|~mem(X2,arr(X0,X1))|~mem(X3,arr(X1,bool))|~mem(X4,arr(X0,X1))|~mem(sk0_17,arr(X1,bool))|p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X4),sk0_17))|~mem(ap(X4,sk0_8(sk0_17,X4,X3,X2,X1,X0)),sk0_13)|p(ap(sk0_16,ap(X4,sk0_8(sk0_17,X4,X3,X2,X1,X0)))))),
% 11.54/1.86 inference(resolution,[status(thm)],[f196,f288])).
% 11.54/1.86 fof(f1922,plain,(
% 11.54/1.86 ![X0,X1,X2,X3]: (~ne(X0)|~ne(X1)|~mem(X2,arr(X0,X1))|~mem(X3,arr(X1,bool))|~mem(sk0_15,arr(X0,X1))|~mem(sk0_17,arr(X1,bool))|p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),sk0_15),sk0_17))|~mem(ap(sk0_15,sk0_8(sk0_17,sk0_15,X3,X2,X1,X0)),sk0_13)|~mem(sk0_8(sk0_17,sk0_15,X3,X2,X1,X0),sk0_14)|~spl0_10)),
% 11.54/1.86 inference(resolution,[status(thm)],[f1884,f460])).
% 11.54/1.86 fof(f1923,plain,(
% 11.54/1.86 ![X0,X1,X2,X3]: (~ne(X0)|~ne(X1)|~mem(X2,arr(X0,X1))|~mem(X3,arr(X1,bool))|~mem(sk0_15,arr(X0,X1))|~mem(sk0_17,arr(X1,bool))|p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),sk0_15),sk0_17))|~mem(sk0_8(sk0_17,sk0_15,X3,X2,X1,X0),sk0_14)|~spl0_10)),
% 11.54/1.86 inference(forward_subsumption_resolution,[status(thm)],[f1922,f1330])).
% 11.54/1.86 fof(f1992,plain,(
% 11.54/1.86 spl0_95 <=> ~ne(X0)|~mem(X1,arr(sk0_14,X0))|~mem(X2,arr(X0,bool))|~mem(sk0_15,arr(sk0_14,X0))|~mem(sk0_17,arr(X0,bool))|p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sk0_14,X0),sk0_15),sk0_17))|~ne(X0)|~mem(X1,arr(sk0_14,X0))|~mem(X2,arr(X0,bool))|~mem(sk0_15,arr(sk0_14,X0))|~mem(sk0_17,arr(X0,bool))|p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sk0_14,X0),sk0_15),sk0_17))),
% 11.54/1.86 introduced(split_symbol_definition)).
% 11.54/1.86 fof(f1993,plain,(
% 11.54/1.86 ![X0,X1,X2]: (~ne(X0)|~mem(X1,arr(sk0_14,X0))|~mem(X2,arr(X0,bool))|~mem(sk0_15,arr(sk0_14,X0))|~mem(sk0_17,arr(X0,bool))|p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sk0_14,X0),sk0_15),sk0_17))|~ne(X0)|~mem(X1,arr(sk0_14,X0))|~mem(X2,arr(X0,bool))|~mem(sk0_15,arr(sk0_14,X0))|~mem(sk0_17,arr(X0,bool))|p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sk0_14,X0),sk0_15),sk0_17))|~spl0_95)),
% 11.54/1.86 inference(component_clause,[status(thm)],[f1992])).
% 11.54/1.86 fof(f1995,plain,(
% 11.54/1.86 ![X0,X1,X2]: (~ne(sk0_14)|~ne(X0)|~mem(X1,arr(sk0_14,X0))|~mem(X2,arr(X0,bool))|~mem(sk0_15,arr(sk0_14,X0))|~mem(sk0_17,arr(X0,bool))|p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sk0_14,X0),sk0_15),sk0_17))|~ne(sk0_14)|~ne(X0)|~mem(X1,arr(sk0_14,X0))|~mem(X2,arr(X0,bool))|~mem(sk0_15,arr(sk0_14,X0))|~mem(sk0_17,arr(X0,bool))|p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sk0_14,X0),sk0_15),sk0_17))|~spl0_10)),
% 11.54/1.86 inference(resolution,[status(thm)],[f1923,f195])).
% 11.54/1.86 fof(f1996,plain,(
% 11.54/1.86 ~spl0_3|spl0_95|~spl0_10),
% 11.54/1.86 inference(split_clause,[status(thm)],[f1995,f428,f1992,f459])).
% 11.54/1.86 fof(f1997,plain,(
% 11.54/1.86 ![X0,X1,X2]: (~ne(X0)|~mem(X1,arr(sk0_14,X0))|~mem(X2,arr(X0,bool))|~mem(sk0_15,arr(sk0_14,X0))|~mem(sk0_17,arr(X0,bool))|p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sk0_14,X0),sk0_15),sk0_17))|~spl0_95)),
% 11.54/1.86 inference(duplicate_literals_removal,[status(esa)],[f1993])).
% 11.54/1.86 fof(f2840,plain,(
% 11.54/1.86 spl0_140 <=> ~mem(X2,bool)),
% 11.54/1.86 introduced(split_symbol_definition)).
% 11.54/1.86 fof(f2841,plain,(
% 11.54/1.86 ![X0]: (~mem(X0,bool)|~spl0_140)),
% 11.54/1.86 inference(component_clause,[status(thm)],[f2840])).
% 11.54/1.86 fof(f3237,plain,(
% 11.54/1.86 $false|~spl0_140),
% 11.54/1.86 inference(backward_subsumption_resolution,[status(thm)],[f73,f2841])).
% 11.54/1.86 fof(f3238,plain,(
% 11.54/1.86 ~spl0_140),
% 11.54/1.86 inference(contradiction_clause,[status(thm)],[f3237])).
% 11.54/1.86 fof(f3785,plain,(
% 11.54/1.86 ![X0,X1]: (~ne(sk0_13)|~mem(X0,arr(sk0_14,sk0_13))|~mem(X1,arr(sk0_13,bool))|~mem(sk0_15,arr(sk0_14,sk0_13))|~mem(sk0_17,arr(sk0_13,bool))|~spl0_95)),
% 11.54/1.86 inference(resolution,[status(thm)],[f1997,f290])).
% 11.54/1.86 fof(f3786,plain,(
% 11.54/1.86 ~spl0_4|spl0_8|spl0_9|~spl0_5|~spl0_26|~spl0_95),
% 11.54/1.86 inference(split_clause,[status(thm)],[f3785,f431,f453,f456,f434,f734,f1992])).
% 11.54/1.86 fof(f3795,plain,(
% 11.54/1.86 $false),
% 11.54/1.86 inference(sat_refutation,[status(thm)],[f446,f448,f450,f452,f463,f743,f1317,f1329,f1570,f1996,f3238,f3786])).
% 11.54/1.86 % SZS output end CNFRefutation for theBenchmark.p
% 11.54/1.88 % Elapsed time: 1.525469 seconds
% 11.54/1.88 % CPU time: 11.939872 seconds
% 11.54/1.88 % Total memory used: 179.584 MB
% 11.54/1.88 % Net memory used: 175.433 MB
%------------------------------------------------------------------------------