TSTP Solution File: ITP004+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ITP004+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:22:38 EDT 2024
% Result : Theorem 45.82s 6.20s
% Output : CNFRefutation 46.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP004+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 22:48:43 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 45.82/6.20 % Refutation found
% 45.82/6.20 % SZS status Theorem for theBenchmark: Theorem is valid
% 45.82/6.20 % SZS output start CNFRefutation for theBenchmark
% 45.82/6.20 fof(f4,axiom,(
% 45.82/6.20 (! [A,B,F] :( mem(F,arr(A,B))=> (! [X] :( mem(X,A)=> mem(ap(F,X),B) ) )) )),
% 45.82/6.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.82/6.20 fof(f17,axiom,(
% 45.82/6.20 (! [A_27a] :( ne(A_27a)=> mem(c_2Epred__set_2ECHOICE(A_27a),arr(arr(A_27a,bool),A_27a)) ) )),
% 45.82/6.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.82/6.20 fof(f19,axiom,(
% 45.82/6.20 (! [A_27a] :( ne(A_27a)=> mem(c_2Epred__set_2EREST(A_27a),arr(arr(A_27a,bool),arr(A_27a,bool))) ) )),
% 45.82/6.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.82/6.20 fof(f24,axiom,(
% 45.82/6.20 (! [A_27a] :( ne(A_27a)=> (! [V0s] :( mem(V0s,arr(A_27a,bool))=> (! [V1t] :( mem(V1t,arr(A_27a,bool))=> ( p(ap(ap(c_2Epred__set_2ESUBSET(A_27a),V0s),V1t))<=> (! [V2x] :( mem(V2x,A_27a)=> ( p(ap(ap(c_2Ebool_2EIN(A_27a),V2x),V0s))=> p(ap(ap(c_2Ebool_2EIN(A_27a),V2x),V1t)) ) ) )) ) )) )) )),
% 45.82/6.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.82/6.20 fof(f25,axiom,(
% 45.82/6.20 (! [A_27a] :( ne(A_27a)=> (! [V0s] :( mem(V0s,arr(A_27a,bool))=> (! [V1x] :( mem(V1x,A_27a)=> (! [V2y] :( mem(V2y,A_27a)=> ( p(ap(ap(c_2Ebool_2EIN(A_27a),V1x),ap(ap(c_2Epred__set_2EDELETE(A_27a),V0s),V2y)))<=> ( p(ap(ap(c_2Ebool_2EIN(A_27a),V1x),V0s))& V1x != V2y ) ) ) )) )) )) )),
% 45.82/6.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.82/6.20 fof(f26,axiom,(
% 45.82/6.20 (! [A_27a] :( ne(A_27a)=> (! [V0s] :( mem(V0s,arr(A_27a,bool))=> ap(c_2Epred__set_2EREST(A_27a),V0s) = ap(ap(c_2Epred__set_2EDELETE(A_27a),V0s),ap(c_2Epred__set_2ECHOICE(A_27a),V0s)) ) )) )),
% 45.82/6.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.82/6.20 fof(f27,conjecture,(
% 45.82/6.20 (! [A_27a] :( ne(A_27a)=> (! [V0s] :( mem(V0s,arr(A_27a,bool))=> p(ap(ap(c_2Epred__set_2ESUBSET(A_27a),ap(c_2Epred__set_2EREST(A_27a),V0s)),V0s)) ) )) )),
% 45.82/6.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.82/6.20 fof(f28,negated_conjecture,(
% 45.82/6.20 ~((! [A_27a] :( ne(A_27a)=> (! [V0s] :( mem(V0s,arr(A_27a,bool))=> p(ap(ap(c_2Epred__set_2ESUBSET(A_27a),ap(c_2Epred__set_2EREST(A_27a),V0s)),V0s)) ) )) ))),
% 45.82/6.20 inference(negated_conjecture,[status(cth)],[f27])).
% 45.82/6.20 fof(f33,plain,(
% 45.82/6.20 ![A,B,F]: (~mem(F,arr(A,B))|(![X]: (~mem(X,A)|mem(ap(F,X),B))))),
% 45.82/6.20 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 45.82/6.20 fof(f34,plain,(
% 45.82/6.20 ![X0,X1,X2,X3]: (~mem(X0,arr(X1,X2))|~mem(X3,X1)|mem(ap(X0,X3),X2))),
% 45.82/6.20 inference(cnf_transformation,[status(esa)],[f33])).
% 45.82/6.20 fof(f69,plain,(
% 45.82/6.20 ![A_27a]: (~ne(A_27a)|mem(c_2Epred__set_2ECHOICE(A_27a),arr(arr(A_27a,bool),A_27a)))),
% 45.82/6.20 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 45.82/6.20 fof(f70,plain,(
% 45.82/6.20 ![X0]: (~ne(X0)|mem(c_2Epred__set_2ECHOICE(X0),arr(arr(X0,bool),X0)))),
% 45.82/6.20 inference(cnf_transformation,[status(esa)],[f69])).
% 45.82/6.20 fof(f73,plain,(
% 45.82/6.20 ![A_27a]: (~ne(A_27a)|mem(c_2Epred__set_2EREST(A_27a),arr(arr(A_27a,bool),arr(A_27a,bool))))),
% 45.82/6.20 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 45.82/6.20 fof(f74,plain,(
% 45.82/6.20 ![X0]: (~ne(X0)|mem(c_2Epred__set_2EREST(X0),arr(arr(X0,bool),arr(X0,bool))))),
% 45.82/6.20 inference(cnf_transformation,[status(esa)],[f73])).
% 45.82/6.20 fof(f89,plain,(
% 45.82/6.20 ![A_27a]: (~ne(A_27a)|(![V0s]: (~mem(V0s,arr(A_27a,bool))|(![V1t]: (~mem(V1t,arr(A_27a,bool))|(p(ap(ap(c_2Epred__set_2ESUBSET(A_27a),V0s),V1t))<=>(![V2x]: (~mem(V2x,A_27a)|(~p(ap(ap(c_2Ebool_2EIN(A_27a),V2x),V0s))|p(ap(ap(c_2Ebool_2EIN(A_27a),V2x),V1t)))))))))))),
% 45.82/6.20 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 45.82/6.20 fof(f90,plain,(
% 45.82/6.20 ![A_27a]: (~ne(A_27a)|(![V0s]: (~mem(V0s,arr(A_27a,bool))|(![V1t]: (~mem(V1t,arr(A_27a,bool))|((~p(ap(ap(c_2Epred__set_2ESUBSET(A_27a),V0s),V1t))|(![V2x]: (~mem(V2x,A_27a)|(~p(ap(ap(c_2Ebool_2EIN(A_27a),V2x),V0s))|p(ap(ap(c_2Ebool_2EIN(A_27a),V2x),V1t))))))&(p(ap(ap(c_2Epred__set_2ESUBSET(A_27a),V0s),V1t))|(?[V2x]: (mem(V2x,A_27a)&(p(ap(ap(c_2Ebool_2EIN(A_27a),V2x),V0s))&~p(ap(ap(c_2Ebool_2EIN(A_27a),V2x),V1t))))))))))))),
% 45.82/6.20 inference(NNF_transformation,[status(esa)],[f89])).
% 45.82/6.20 fof(f91,plain,(
% 45.82/6.20 ![A_27a]: (~ne(A_27a)|(![V0s]: (~mem(V0s,arr(A_27a,bool))|(![V1t]: (~mem(V1t,arr(A_27a,bool))|((~p(ap(ap(c_2Epred__set_2ESUBSET(A_27a),V0s),V1t))|(![V2x]: (~mem(V2x,A_27a)|(~p(ap(ap(c_2Ebool_2EIN(A_27a),V2x),V0s))|p(ap(ap(c_2Ebool_2EIN(A_27a),V2x),V1t))))))&(p(ap(ap(c_2Epred__set_2ESUBSET(A_27a),V0s),V1t))|(mem(sk0_2(V1t,V0s,A_27a),A_27a)&(p(ap(ap(c_2Ebool_2EIN(A_27a),sk0_2(V1t,V0s,A_27a)),V0s))&~p(ap(ap(c_2Ebool_2EIN(A_27a),sk0_2(V1t,V0s,A_27a)),V1t)))))))))))),
% 45.82/6.20 inference(skolemization,[status(esa)],[f90])).
% 45.82/6.20 fof(f93,plain,(
% 45.82/6.20 ![X0,X1,X2]: (~ne(X0)|~mem(X1,arr(X0,bool))|~mem(X2,arr(X0,bool))|p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))|mem(sk0_2(X2,X1,X0),X0))),
% 45.82/6.20 inference(cnf_transformation,[status(esa)],[f91])).
% 45.82/6.20 fof(f94,plain,(
% 45.82/6.20 ![X0,X1,X2]: (~ne(X0)|~mem(X1,arr(X0,bool))|~mem(X2,arr(X0,bool))|p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))|p(ap(ap(c_2Ebool_2EIN(X0),sk0_2(X2,X1,X0)),X1)))),
% 45.82/6.20 inference(cnf_transformation,[status(esa)],[f91])).
% 45.82/6.20 fof(f95,plain,(
% 45.82/6.20 ![X0,X1,X2]: (~ne(X0)|~mem(X1,arr(X0,bool))|~mem(X2,arr(X0,bool))|p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))|~p(ap(ap(c_2Ebool_2EIN(X0),sk0_2(X2,X1,X0)),X2)))),
% 45.82/6.20 inference(cnf_transformation,[status(esa)],[f91])).
% 45.82/6.20 fof(f96,plain,(
% 45.82/6.20 ![A_27a]: (~ne(A_27a)|(![V0s]: (~mem(V0s,arr(A_27a,bool))|(![V1x]: (~mem(V1x,A_27a)|(![V2y]: (~mem(V2y,A_27a)|(p(ap(ap(c_2Ebool_2EIN(A_27a),V1x),ap(ap(c_2Epred__set_2EDELETE(A_27a),V0s),V2y)))<=>(p(ap(ap(c_2Ebool_2EIN(A_27a),V1x),V0s))&~V1x=V2y)))))))))),
% 45.82/6.20 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 45.82/6.20 fof(f97,plain,(
% 45.82/6.20 ![A_27a]: (~ne(A_27a)|(![V0s]: (~mem(V0s,arr(A_27a,bool))|(![V1x]: (~mem(V1x,A_27a)|(![V2y]: (~mem(V2y,A_27a)|((~p(ap(ap(c_2Ebool_2EIN(A_27a),V1x),ap(ap(c_2Epred__set_2EDELETE(A_27a),V0s),V2y)))|(p(ap(ap(c_2Ebool_2EIN(A_27a),V1x),V0s))&~V1x=V2y))&(p(ap(ap(c_2Ebool_2EIN(A_27a),V1x),ap(ap(c_2Epred__set_2EDELETE(A_27a),V0s),V2y)))|(~p(ap(ap(c_2Ebool_2EIN(A_27a),V1x),V0s))|V1x=V2y))))))))))),
% 45.82/6.20 inference(NNF_transformation,[status(esa)],[f96])).
% 45.82/6.20 fof(f98,plain,(
% 45.82/6.20 ![X0,X1,X2,X3]: (~ne(X0)|~mem(X1,arr(X0,bool))|~mem(X2,X0)|~mem(X3,X0)|~p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))|p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)))),
% 45.82/6.20 inference(cnf_transformation,[status(esa)],[f97])).
% 45.82/6.20 fof(f101,plain,(
% 45.82/6.20 ![A_27a]: (~ne(A_27a)|(![V0s]: (~mem(V0s,arr(A_27a,bool))|ap(c_2Epred__set_2EREST(A_27a),V0s)=ap(ap(c_2Epred__set_2EDELETE(A_27a),V0s),ap(c_2Epred__set_2ECHOICE(A_27a),V0s)))))),
% 45.82/6.20 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 45.82/6.20 fof(f102,plain,(
% 45.82/6.20 ![X0,X1]: (~ne(X0)|~mem(X1,arr(X0,bool))|ap(c_2Epred__set_2EREST(X0),X1)=ap(ap(c_2Epred__set_2EDELETE(X0),X1),ap(c_2Epred__set_2ECHOICE(X0),X1)))),
% 45.82/6.20 inference(cnf_transformation,[status(esa)],[f101])).
% 45.82/6.20 fof(f103,plain,(
% 45.82/6.20 (?[A_27a]: (ne(A_27a)&(?[V0s]: (mem(V0s,arr(A_27a,bool))&~p(ap(ap(c_2Epred__set_2ESUBSET(A_27a),ap(c_2Epred__set_2EREST(A_27a),V0s)),V0s))))))),
% 45.82/6.20 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 45.82/6.20 fof(f104,plain,(
% 45.82/6.20 (ne(sk0_3)&(mem(sk0_4,arr(sk0_3,bool))&~p(ap(ap(c_2Epred__set_2ESUBSET(sk0_3),ap(c_2Epred__set_2EREST(sk0_3),sk0_4)),sk0_4))))),
% 45.82/6.20 inference(skolemization,[status(esa)],[f103])).
% 45.82/6.20 fof(f105,plain,(
% 45.82/6.20 ne(sk0_3)),
% 45.82/6.20 inference(cnf_transformation,[status(esa)],[f104])).
% 45.82/6.20 fof(f106,plain,(
% 45.82/6.20 mem(sk0_4,arr(sk0_3,bool))),
% 45.82/6.20 inference(cnf_transformation,[status(esa)],[f104])).
% 45.82/6.20 fof(f107,plain,(
% 45.82/6.20 ~p(ap(ap(c_2Epred__set_2ESUBSET(sk0_3),ap(c_2Epred__set_2EREST(sk0_3),sk0_4)),sk0_4))),
% 45.82/6.20 inference(cnf_transformation,[status(esa)],[f104])).
% 45.82/6.20 fof(f209,plain,(
% 45.82/6.20 spl0_9 <=> ne(sk0_3)),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f211,plain,(
% 45.82/6.20 ~ne(sk0_3)|spl0_9),
% 45.82/6.20 inference(component_clause,[status(thm)],[f209])).
% 45.82/6.20 fof(f215,plain,(
% 45.82/6.20 $false|spl0_9),
% 45.82/6.20 inference(forward_subsumption_resolution,[status(thm)],[f211,f105])).
% 45.82/6.20 fof(f216,plain,(
% 45.82/6.20 spl0_9),
% 45.82/6.20 inference(contradiction_clause,[status(thm)],[f215])).
% 45.82/6.20 fof(f359,plain,(
% 45.82/6.20 mem(c_2Epred__set_2ECHOICE(sk0_3),arr(arr(sk0_3,bool),sk0_3))),
% 45.82/6.20 inference(resolution,[status(thm)],[f70,f105])).
% 45.82/6.20 fof(f967,plain,(
% 45.82/6.20 ![X0,X1,X2,X3]: (~ne(X0)|~mem(X1,arr(X0,bool))|~mem(sk0_2(X2,ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3),X0),X0)|~mem(X3,X0)|p(ap(ap(c_2Ebool_2EIN(X0),sk0_2(X2,ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3),X0)),X1))|~ne(X0)|~mem(ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3),arr(X0,bool))|~mem(X2,arr(X0,bool))|p(ap(ap(c_2Epred__set_2ESUBSET(X0),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)),X2)))),
% 45.82/6.20 inference(resolution,[status(thm)],[f98,f94])).
% 45.82/6.20 fof(f968,plain,(
% 45.82/6.20 ![X0,X1,X2,X3]: (~ne(X0)|~mem(X1,arr(X0,bool))|~mem(sk0_2(X2,ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3),X0),X0)|~mem(X3,X0)|p(ap(ap(c_2Ebool_2EIN(X0),sk0_2(X2,ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3),X0)),X1))|~mem(ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3),arr(X0,bool))|~mem(X2,arr(X0,bool))|p(ap(ap(c_2Epred__set_2ESUBSET(X0),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)),X2)))),
% 45.82/6.20 inference(duplicate_literals_removal,[status(esa)],[f967])).
% 45.82/6.20 fof(f969,plain,(
% 45.82/6.20 ![X0,X1,X2,X3]: (~ne(X0)|~mem(X1,arr(X0,bool))|~mem(X2,X0)|p(ap(ap(c_2Ebool_2EIN(X0),sk0_2(X3,ap(ap(c_2Epred__set_2EDELETE(X0),X1),X2),X0)),X1))|~mem(ap(ap(c_2Epred__set_2EDELETE(X0),X1),X2),arr(X0,bool))|~mem(X3,arr(X0,bool))|p(ap(ap(c_2Epred__set_2ESUBSET(X0),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X2)),X3)))),
% 45.82/6.20 inference(forward_subsumption_resolution,[status(thm)],[f968,f93])).
% 45.82/6.20 fof(f1393,plain,(
% 45.82/6.20 spl0_75 <=> mem(sk0_4,arr(sk0_3,bool))),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f1395,plain,(
% 45.82/6.20 ~mem(sk0_4,arr(sk0_3,bool))|spl0_75),
% 45.82/6.20 inference(component_clause,[status(thm)],[f1393])).
% 45.82/6.20 fof(f1400,plain,(
% 45.82/6.20 $false|spl0_75),
% 45.82/6.20 inference(forward_subsumption_resolution,[status(thm)],[f1395,f106])).
% 45.82/6.20 fof(f1401,plain,(
% 45.82/6.20 spl0_75),
% 45.82/6.20 inference(contradiction_clause,[status(thm)],[f1400])).
% 45.82/6.20 fof(f1415,plain,(
% 45.82/6.20 ![X0]: (~mem(X0,arr(sk0_3,bool))|ap(c_2Epred__set_2EREST(sk0_3),X0)=ap(ap(c_2Epred__set_2EDELETE(sk0_3),X0),ap(c_2Epred__set_2ECHOICE(sk0_3),X0)))),
% 45.82/6.20 inference(resolution,[status(thm)],[f102,f105])).
% 45.82/6.20 fof(f2364,plain,(
% 45.82/6.20 ap(c_2Epred__set_2EREST(sk0_3),sk0_4)=ap(ap(c_2Epred__set_2EDELETE(sk0_3),sk0_4),ap(c_2Epred__set_2ECHOICE(sk0_3),sk0_4))),
% 45.82/6.20 inference(resolution,[status(thm)],[f1415,f106])).
% 45.82/6.20 fof(f2392,plain,(
% 45.82/6.20 spl0_141 <=> mem(ap(c_2Epred__set_2ECHOICE(sk0_3),sk0_4),sk0_3)),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f2394,plain,(
% 45.82/6.20 ~mem(ap(c_2Epred__set_2ECHOICE(sk0_3),sk0_4),sk0_3)|spl0_141),
% 45.82/6.20 inference(component_clause,[status(thm)],[f2392])).
% 45.82/6.20 fof(f2894,plain,(
% 45.82/6.20 spl0_174 <=> p(ap(ap(c_2Ebool_2EIN(sk0_3),sk0_2(X0,ap(ap(c_2Epred__set_2EDELETE(sk0_3),sk0_4),ap(c_2Epred__set_2ECHOICE(sk0_3),sk0_4)),sk0_3)),sk0_4))|~mem(X0,arr(sk0_3,bool))|p(ap(ap(c_2Epred__set_2ESUBSET(sk0_3),ap(ap(c_2Epred__set_2EDELETE(sk0_3),sk0_4),ap(c_2Epred__set_2ECHOICE(sk0_3),sk0_4))),X0))),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f2895,plain,(
% 45.82/6.20 ![X0]: (p(ap(ap(c_2Ebool_2EIN(sk0_3),sk0_2(X0,ap(ap(c_2Epred__set_2EDELETE(sk0_3),sk0_4),ap(c_2Epred__set_2ECHOICE(sk0_3),sk0_4)),sk0_3)),sk0_4))|~mem(X0,arr(sk0_3,bool))|p(ap(ap(c_2Epred__set_2ESUBSET(sk0_3),ap(ap(c_2Epred__set_2EDELETE(sk0_3),sk0_4),ap(c_2Epred__set_2ECHOICE(sk0_3),sk0_4))),X0))|~spl0_174)),
% 45.82/6.20 inference(component_clause,[status(thm)],[f2894])).
% 45.82/6.20 fof(f2897,plain,(
% 45.82/6.20 spl0_175 <=> mem(ap(c_2Epred__set_2EREST(sk0_3),sk0_4),arr(sk0_3,bool))),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f2899,plain,(
% 45.82/6.20 ~mem(ap(c_2Epred__set_2EREST(sk0_3),sk0_4),arr(sk0_3,bool))|spl0_175),
% 45.82/6.20 inference(component_clause,[status(thm)],[f2897])).
% 45.82/6.20 fof(f2900,plain,(
% 45.82/6.20 ![X0]: (~ne(sk0_3)|~mem(sk0_4,arr(sk0_3,bool))|~mem(ap(c_2Epred__set_2ECHOICE(sk0_3),sk0_4),sk0_3)|p(ap(ap(c_2Ebool_2EIN(sk0_3),sk0_2(X0,ap(ap(c_2Epred__set_2EDELETE(sk0_3),sk0_4),ap(c_2Epred__set_2ECHOICE(sk0_3),sk0_4)),sk0_3)),sk0_4))|~mem(ap(c_2Epred__set_2EREST(sk0_3),sk0_4),arr(sk0_3,bool))|~mem(X0,arr(sk0_3,bool))|p(ap(ap(c_2Epred__set_2ESUBSET(sk0_3),ap(ap(c_2Epred__set_2EDELETE(sk0_3),sk0_4),ap(c_2Epred__set_2ECHOICE(sk0_3),sk0_4))),X0)))),
% 45.82/6.20 inference(paramodulation,[status(thm)],[f2364,f969])).
% 45.82/6.20 fof(f2901,plain,(
% 45.82/6.20 ~spl0_9|~spl0_75|~spl0_141|spl0_174|~spl0_175),
% 45.82/6.20 inference(split_clause,[status(thm)],[f2900,f209,f1393,f2392,f2894,f2897])).
% 45.82/6.20 fof(f2902,plain,(
% 45.82/6.20 ![X0]: (p(ap(ap(c_2Ebool_2EIN(sk0_3),sk0_2(X0,ap(c_2Epred__set_2EREST(sk0_3),sk0_4),sk0_3)),sk0_4))|~mem(X0,arr(sk0_3,bool))|p(ap(ap(c_2Epred__set_2ESUBSET(sk0_3),ap(ap(c_2Epred__set_2EDELETE(sk0_3),sk0_4),ap(c_2Epred__set_2ECHOICE(sk0_3),sk0_4))),X0))|~spl0_174)),
% 45.82/6.20 inference(forward_demodulation,[status(thm)],[f2364,f2895])).
% 45.82/6.20 fof(f2903,plain,(
% 45.82/6.20 ![X0]: (p(ap(ap(c_2Ebool_2EIN(sk0_3),sk0_2(X0,ap(c_2Epred__set_2EREST(sk0_3),sk0_4),sk0_3)),sk0_4))|~mem(X0,arr(sk0_3,bool))|p(ap(ap(c_2Epred__set_2ESUBSET(sk0_3),ap(c_2Epred__set_2EREST(sk0_3),sk0_4)),X0))|~spl0_174)),
% 45.82/6.20 inference(forward_demodulation,[status(thm)],[f2364,f2902])).
% 45.82/6.20 fof(f2904,plain,(
% 45.82/6.20 ![X0]: (~mem(c_2Epred__set_2EREST(sk0_3),arr(X0,arr(sk0_3,bool)))|~mem(sk0_4,X0)|spl0_175)),
% 45.82/6.20 inference(resolution,[status(thm)],[f2899,f34])).
% 45.82/6.20 fof(f3815,plain,(
% 45.82/6.20 ![X0]: (~mem(c_2Epred__set_2ECHOICE(sk0_3),arr(X0,sk0_3))|~mem(sk0_4,X0)|spl0_141)),
% 45.82/6.20 inference(resolution,[status(thm)],[f2394,f34])).
% 45.82/6.20 fof(f4459,plain,(
% 45.82/6.20 ~mem(sk0_4,arr(sk0_3,bool))|spl0_141),
% 45.82/6.20 inference(resolution,[status(thm)],[f3815,f359])).
% 45.82/6.20 fof(f4460,plain,(
% 45.82/6.20 ~spl0_75|spl0_141),
% 45.82/6.20 inference(split_clause,[status(thm)],[f4459,f1393,f2392])).
% 45.82/6.20 fof(f4814,plain,(
% 45.82/6.20 spl0_251 <=> p(ap(ap(c_2Epred__set_2ESUBSET(sk0_3),ap(c_2Epred__set_2EREST(sk0_3),sk0_4)),sk0_4))),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f4815,plain,(
% 45.82/6.20 p(ap(ap(c_2Epred__set_2ESUBSET(sk0_3),ap(c_2Epred__set_2EREST(sk0_3),sk0_4)),sk0_4))|~spl0_251),
% 45.82/6.20 inference(component_clause,[status(thm)],[f4814])).
% 45.82/6.20 fof(f4817,plain,(
% 45.82/6.20 ~mem(sk0_4,arr(sk0_3,bool))|p(ap(ap(c_2Epred__set_2ESUBSET(sk0_3),ap(c_2Epred__set_2EREST(sk0_3),sk0_4)),sk0_4))|~ne(sk0_3)|~mem(ap(c_2Epred__set_2EREST(sk0_3),sk0_4),arr(sk0_3,bool))|~mem(sk0_4,arr(sk0_3,bool))|p(ap(ap(c_2Epred__set_2ESUBSET(sk0_3),ap(c_2Epred__set_2EREST(sk0_3),sk0_4)),sk0_4))|~spl0_174),
% 45.82/6.20 inference(resolution,[status(thm)],[f2903,f95])).
% 45.82/6.20 fof(f4818,plain,(
% 45.82/6.20 ~spl0_75|spl0_251|~spl0_9|~spl0_175|~spl0_174),
% 45.82/6.20 inference(split_clause,[status(thm)],[f4817,f1393,f4814,f209,f2897,f2894])).
% 45.82/6.20 fof(f4824,plain,(
% 45.82/6.20 $false|~spl0_251),
% 45.82/6.20 inference(forward_subsumption_resolution,[status(thm)],[f4815,f107])).
% 45.82/6.20 fof(f4825,plain,(
% 45.82/6.20 ~spl0_251),
% 45.82/6.20 inference(contradiction_clause,[status(thm)],[f4824])).
% 45.82/6.20 fof(f4934,plain,(
% 45.82/6.20 spl0_257 <=> ap(c_2Ebool_2E_21(sk0_3),sk0_0(c_2Ebool_2E_21(sk0_3),c_2Ebool_2E_21(sk0_3),bool,arr(sk0_3,bool)))=ap(c_2Ebool_2E_21(sk0_3),sk0_0(c_2Ebool_2E_21(sk0_3),c_2Ebool_2E_21(sk0_3),bool,arr(sk0_3,bool)))),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f4936,plain,(
% 45.82/6.20 ~ap(c_2Ebool_2E_21(sk0_3),sk0_0(c_2Ebool_2E_21(sk0_3),c_2Ebool_2E_21(sk0_3),bool,arr(sk0_3,bool)))=ap(c_2Ebool_2E_21(sk0_3),sk0_0(c_2Ebool_2E_21(sk0_3),c_2Ebool_2E_21(sk0_3),bool,arr(sk0_3,bool)))|spl0_257),
% 45.82/6.20 inference(component_clause,[status(thm)],[f4934])).
% 45.82/6.20 fof(f4943,plain,(
% 45.82/6.20 $false|spl0_257),
% 45.82/6.20 inference(trivial_equality_resolution,[status(esa)],[f4936])).
% 45.82/6.20 fof(f4944,plain,(
% 45.82/6.20 spl0_257),
% 45.82/6.20 inference(contradiction_clause,[status(thm)],[f4943])).
% 45.82/6.20 fof(f6586,plain,(
% 45.82/6.20 spl0_315 <=> ap(c_2Ebool_2EIN(sk0_3),sk0_0(c_2Ebool_2EIN(sk0_3),c_2Ebool_2EIN(sk0_3),arr(arr(sk0_3,bool),bool),sk0_3))=ap(c_2Ebool_2EIN(sk0_3),sk0_0(c_2Ebool_2EIN(sk0_3),c_2Ebool_2EIN(sk0_3),arr(arr(sk0_3,bool),bool),sk0_3))),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f6588,plain,(
% 45.82/6.20 ~ap(c_2Ebool_2EIN(sk0_3),sk0_0(c_2Ebool_2EIN(sk0_3),c_2Ebool_2EIN(sk0_3),arr(arr(sk0_3,bool),bool),sk0_3))=ap(c_2Ebool_2EIN(sk0_3),sk0_0(c_2Ebool_2EIN(sk0_3),c_2Ebool_2EIN(sk0_3),arr(arr(sk0_3,bool),bool),sk0_3))|spl0_315),
% 45.82/6.20 inference(component_clause,[status(thm)],[f6586])).
% 45.82/6.20 fof(f6595,plain,(
% 45.82/6.20 $false|spl0_315),
% 45.82/6.20 inference(trivial_equality_resolution,[status(esa)],[f6588])).
% 45.82/6.20 fof(f6596,plain,(
% 45.82/6.20 spl0_315),
% 45.82/6.20 inference(contradiction_clause,[status(thm)],[f6595])).
% 45.82/6.20 fof(f7410,plain,(
% 45.82/6.20 spl0_352 <=> ap(c_2Ebool_2E_21(arr(arr(bool,bool),bool)),sk0_0(c_2Ebool_2E_21(arr(arr(bool,bool),bool)),c_2Ebool_2E_21(arr(arr(bool,bool),bool)),bool,arr(arr(arr(bool,bool),bool),bool)))=ap(c_2Ebool_2E_21(arr(arr(bool,bool),bool)),sk0_0(c_2Ebool_2E_21(arr(arr(bool,bool),bool)),c_2Ebool_2E_21(arr(arr(bool,bool),bool)),bool,arr(arr(arr(bool,bool),bool),bool)))),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f7412,plain,(
% 45.82/6.20 ~ap(c_2Ebool_2E_21(arr(arr(bool,bool),bool)),sk0_0(c_2Ebool_2E_21(arr(arr(bool,bool),bool)),c_2Ebool_2E_21(arr(arr(bool,bool),bool)),bool,arr(arr(arr(bool,bool),bool),bool)))=ap(c_2Ebool_2E_21(arr(arr(bool,bool),bool)),sk0_0(c_2Ebool_2E_21(arr(arr(bool,bool),bool)),c_2Ebool_2E_21(arr(arr(bool,bool),bool)),bool,arr(arr(arr(bool,bool),bool),bool)))|spl0_352),
% 45.82/6.20 inference(component_clause,[status(thm)],[f7410])).
% 45.82/6.20 fof(f7419,plain,(
% 45.82/6.20 $false|spl0_352),
% 45.82/6.20 inference(trivial_equality_resolution,[status(esa)],[f7412])).
% 45.82/6.20 fof(f7420,plain,(
% 45.82/6.20 spl0_352),
% 45.82/6.20 inference(contradiction_clause,[status(thm)],[f7419])).
% 45.82/6.20 fof(f7709,plain,(
% 45.82/6.20 spl0_360 <=> ap(c_2Epred__set_2EDELETE(sk0_3),sk0_0(c_2Epred__set_2EDELETE(sk0_3),c_2Epred__set_2EDELETE(sk0_3),arr(sk0_3,arr(sk0_3,bool)),arr(sk0_3,bool)))=ap(c_2Epred__set_2EDELETE(sk0_3),sk0_0(c_2Epred__set_2EDELETE(sk0_3),c_2Epred__set_2EDELETE(sk0_3),arr(sk0_3,arr(sk0_3,bool)),arr(sk0_3,bool)))),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f7711,plain,(
% 45.82/6.20 ~ap(c_2Epred__set_2EDELETE(sk0_3),sk0_0(c_2Epred__set_2EDELETE(sk0_3),c_2Epred__set_2EDELETE(sk0_3),arr(sk0_3,arr(sk0_3,bool)),arr(sk0_3,bool)))=ap(c_2Epred__set_2EDELETE(sk0_3),sk0_0(c_2Epred__set_2EDELETE(sk0_3),c_2Epred__set_2EDELETE(sk0_3),arr(sk0_3,arr(sk0_3,bool)),arr(sk0_3,bool)))|spl0_360),
% 45.82/6.20 inference(component_clause,[status(thm)],[f7709])).
% 45.82/6.20 fof(f7718,plain,(
% 45.82/6.20 $false|spl0_360),
% 45.82/6.20 inference(trivial_equality_resolution,[status(esa)],[f7711])).
% 45.82/6.20 fof(f7719,plain,(
% 45.82/6.20 spl0_360),
% 45.82/6.20 inference(contradiction_clause,[status(thm)],[f7718])).
% 45.82/6.20 fof(f7969,plain,(
% 45.82/6.20 spl0_364 <=> ap(c_2Epred__set_2ECHOICE(bool),sk0_0(c_2Epred__set_2ECHOICE(bool),c_2Epred__set_2ECHOICE(bool),bool,arr(bool,bool)))=ap(c_2Epred__set_2ECHOICE(bool),sk0_0(c_2Epred__set_2ECHOICE(bool),c_2Epred__set_2ECHOICE(bool),bool,arr(bool,bool)))),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f7971,plain,(
% 45.82/6.20 ~ap(c_2Epred__set_2ECHOICE(bool),sk0_0(c_2Epred__set_2ECHOICE(bool),c_2Epred__set_2ECHOICE(bool),bool,arr(bool,bool)))=ap(c_2Epred__set_2ECHOICE(bool),sk0_0(c_2Epred__set_2ECHOICE(bool),c_2Epred__set_2ECHOICE(bool),bool,arr(bool,bool)))|spl0_364),
% 45.82/6.20 inference(component_clause,[status(thm)],[f7969])).
% 45.82/6.20 fof(f7978,plain,(
% 45.82/6.20 $false|spl0_364),
% 45.82/6.20 inference(trivial_equality_resolution,[status(esa)],[f7971])).
% 45.82/6.20 fof(f7979,plain,(
% 45.82/6.20 spl0_364),
% 45.82/6.20 inference(contradiction_clause,[status(thm)],[f7978])).
% 45.82/6.20 fof(f8173,plain,(
% 45.82/6.20 spl0_374 <=> ap(c_2Emin_2E_3D(bool),sk0_0(c_2Emin_2E_3D(bool),c_2Emin_2E_3D(bool),arr(bool,bool),bool))=ap(c_2Emin_2E_3D(bool),sk0_0(c_2Emin_2E_3D(bool),c_2Emin_2E_3D(bool),arr(bool,bool),bool))),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f8175,plain,(
% 45.82/6.20 ~ap(c_2Emin_2E_3D(bool),sk0_0(c_2Emin_2E_3D(bool),c_2Emin_2E_3D(bool),arr(bool,bool),bool))=ap(c_2Emin_2E_3D(bool),sk0_0(c_2Emin_2E_3D(bool),c_2Emin_2E_3D(bool),arr(bool,bool),bool))|spl0_374),
% 45.82/6.20 inference(component_clause,[status(thm)],[f8173])).
% 45.82/6.20 fof(f8187,plain,(
% 45.82/6.20 $false|spl0_374),
% 45.82/6.20 inference(trivial_equality_resolution,[status(esa)],[f8175])).
% 45.82/6.20 fof(f8188,plain,(
% 45.82/6.20 spl0_374),
% 45.82/6.20 inference(contradiction_clause,[status(thm)],[f8187])).
% 45.82/6.20 fof(f8263,plain,(
% 45.82/6.20 spl0_380 <=> ap(c_2Epred__set_2ECHOICE(ind),sk0_0(c_2Epred__set_2ECHOICE(ind),c_2Epred__set_2ECHOICE(ind),ind,arr(ind,bool)))=ap(c_2Epred__set_2ECHOICE(ind),sk0_0(c_2Epred__set_2ECHOICE(ind),c_2Epred__set_2ECHOICE(ind),ind,arr(ind,bool)))),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f8265,plain,(
% 45.82/6.20 ~ap(c_2Epred__set_2ECHOICE(ind),sk0_0(c_2Epred__set_2ECHOICE(ind),c_2Epred__set_2ECHOICE(ind),ind,arr(ind,bool)))=ap(c_2Epred__set_2ECHOICE(ind),sk0_0(c_2Epred__set_2ECHOICE(ind),c_2Epred__set_2ECHOICE(ind),ind,arr(ind,bool)))|spl0_380),
% 45.82/6.20 inference(component_clause,[status(thm)],[f8263])).
% 45.82/6.20 fof(f8272,plain,(
% 45.82/6.20 $false|spl0_380),
% 45.82/6.20 inference(trivial_equality_resolution,[status(esa)],[f8265])).
% 45.82/6.20 fof(f8273,plain,(
% 45.82/6.20 spl0_380),
% 45.82/6.20 inference(contradiction_clause,[status(thm)],[f8272])).
% 45.82/6.20 fof(f8616,plain,(
% 45.82/6.20 spl0_398 <=> ap(c_2Ebool_2E_21(bool),sk0_0(c_2Ebool_2E_21(bool),c_2Ebool_2E_21(bool),bool,arr(bool,bool)))=ap(c_2Ebool_2E_21(bool),sk0_0(c_2Ebool_2E_21(bool),c_2Ebool_2E_21(bool),bool,arr(bool,bool)))),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f8618,plain,(
% 45.82/6.20 ~ap(c_2Ebool_2E_21(bool),sk0_0(c_2Ebool_2E_21(bool),c_2Ebool_2E_21(bool),bool,arr(bool,bool)))=ap(c_2Ebool_2E_21(bool),sk0_0(c_2Ebool_2E_21(bool),c_2Ebool_2E_21(bool),bool,arr(bool,bool)))|spl0_398),
% 45.82/6.20 inference(component_clause,[status(thm)],[f8616])).
% 45.82/6.20 fof(f8630,plain,(
% 45.82/6.20 $false|spl0_398),
% 45.82/6.20 inference(trivial_equality_resolution,[status(esa)],[f8618])).
% 45.82/6.20 fof(f8631,plain,(
% 45.82/6.20 spl0_398),
% 45.82/6.20 inference(contradiction_clause,[status(thm)],[f8630])).
% 45.82/6.20 fof(f8705,plain,(
% 45.82/6.20 spl0_403 <=> ap(c_2Emin_2E_3D(ind),sk0_0(c_2Emin_2E_3D(ind),c_2Emin_2E_3D(ind),arr(ind,bool),ind))=ap(c_2Emin_2E_3D(ind),sk0_0(c_2Emin_2E_3D(ind),c_2Emin_2E_3D(ind),arr(ind,bool),ind))),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f8707,plain,(
% 45.82/6.20 ~ap(c_2Emin_2E_3D(ind),sk0_0(c_2Emin_2E_3D(ind),c_2Emin_2E_3D(ind),arr(ind,bool),ind))=ap(c_2Emin_2E_3D(ind),sk0_0(c_2Emin_2E_3D(ind),c_2Emin_2E_3D(ind),arr(ind,bool),ind))|spl0_403),
% 45.82/6.20 inference(component_clause,[status(thm)],[f8705])).
% 45.82/6.20 fof(f8714,plain,(
% 45.82/6.20 $false|spl0_403),
% 45.82/6.20 inference(trivial_equality_resolution,[status(esa)],[f8707])).
% 45.82/6.20 fof(f8715,plain,(
% 45.82/6.20 spl0_403),
% 45.82/6.20 inference(contradiction_clause,[status(thm)],[f8714])).
% 45.82/6.20 fof(f8722,plain,(
% 45.82/6.20 spl0_406 <=> ap(c_2Ebool_2E_21(ind),sk0_0(c_2Ebool_2E_21(ind),c_2Ebool_2E_21(ind),bool,arr(ind,bool)))=ap(c_2Ebool_2E_21(ind),sk0_0(c_2Ebool_2E_21(ind),c_2Ebool_2E_21(ind),bool,arr(ind,bool)))),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f8724,plain,(
% 45.82/6.20 ~ap(c_2Ebool_2E_21(ind),sk0_0(c_2Ebool_2E_21(ind),c_2Ebool_2E_21(ind),bool,arr(ind,bool)))=ap(c_2Ebool_2E_21(ind),sk0_0(c_2Ebool_2E_21(ind),c_2Ebool_2E_21(ind),bool,arr(ind,bool)))|spl0_406),
% 45.82/6.20 inference(component_clause,[status(thm)],[f8722])).
% 45.82/6.20 fof(f8731,plain,(
% 45.82/6.20 $false|spl0_406),
% 45.82/6.20 inference(trivial_equality_resolution,[status(esa)],[f8724])).
% 45.82/6.20 fof(f8732,plain,(
% 45.82/6.20 spl0_406),
% 45.82/6.20 inference(contradiction_clause,[status(thm)],[f8731])).
% 45.82/6.20 fof(f9321,plain,(
% 45.82/6.20 spl0_419 <=> ap(c_2Ebool_2EIN(ind),sk0_0(c_2Ebool_2EIN(ind),c_2Ebool_2EIN(ind),arr(arr(ind,bool),bool),ind))=ap(c_2Ebool_2EIN(ind),sk0_0(c_2Ebool_2EIN(ind),c_2Ebool_2EIN(ind),arr(arr(ind,bool),bool),ind))),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f9323,plain,(
% 45.82/6.20 ~ap(c_2Ebool_2EIN(ind),sk0_0(c_2Ebool_2EIN(ind),c_2Ebool_2EIN(ind),arr(arr(ind,bool),bool),ind))=ap(c_2Ebool_2EIN(ind),sk0_0(c_2Ebool_2EIN(ind),c_2Ebool_2EIN(ind),arr(arr(ind,bool),bool),ind))|spl0_419),
% 45.82/6.20 inference(component_clause,[status(thm)],[f9321])).
% 45.82/6.20 fof(f9330,plain,(
% 45.82/6.20 $false|spl0_419),
% 45.82/6.20 inference(trivial_equality_resolution,[status(esa)],[f9323])).
% 45.82/6.20 fof(f9331,plain,(
% 45.82/6.20 spl0_419),
% 45.82/6.20 inference(contradiction_clause,[status(thm)],[f9330])).
% 45.82/6.20 fof(f9883,plain,(
% 45.82/6.20 spl0_444 <=> ap(c_2Ebool_2EIN(bool),sk0_0(c_2Ebool_2EIN(bool),c_2Ebool_2EIN(bool),arr(arr(bool,bool),bool),bool))=ap(c_2Ebool_2EIN(bool),sk0_0(c_2Ebool_2EIN(bool),c_2Ebool_2EIN(bool),arr(arr(bool,bool),bool),bool))),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f9885,plain,(
% 45.82/6.20 ~ap(c_2Ebool_2EIN(bool),sk0_0(c_2Ebool_2EIN(bool),c_2Ebool_2EIN(bool),arr(arr(bool,bool),bool),bool))=ap(c_2Ebool_2EIN(bool),sk0_0(c_2Ebool_2EIN(bool),c_2Ebool_2EIN(bool),arr(arr(bool,bool),bool),bool))|spl0_444),
% 45.82/6.20 inference(component_clause,[status(thm)],[f9883])).
% 45.82/6.20 fof(f9892,plain,(
% 45.82/6.20 $false|spl0_444),
% 45.82/6.20 inference(trivial_equality_resolution,[status(esa)],[f9885])).
% 45.82/6.20 fof(f9893,plain,(
% 45.82/6.20 spl0_444),
% 45.82/6.20 inference(contradiction_clause,[status(thm)],[f9892])).
% 45.82/6.20 fof(f10165,plain,(
% 45.82/6.20 spl0_448 <=> ap(c_2Epred__set_2EDELETE(bool),sk0_0(c_2Epred__set_2EDELETE(bool),c_2Epred__set_2EDELETE(bool),arr(bool,arr(bool,bool)),arr(bool,bool)))=ap(c_2Epred__set_2EDELETE(bool),sk0_0(c_2Epred__set_2EDELETE(bool),c_2Epred__set_2EDELETE(bool),arr(bool,arr(bool,bool)),arr(bool,bool)))),
% 45.82/6.20 introduced(split_symbol_definition)).
% 45.82/6.20 fof(f10167,plain,(
% 45.82/6.20 ~ap(c_2Epred__set_2EDELETE(bool),sk0_0(c_2Epred__set_2EDELETE(bool),c_2Epred__set_2EDELETE(bool),arr(bool,arr(bool,bool)),arr(bool,bool)))=ap(c_2Epred__set_2EDELETE(bool),sk0_0(c_2Epred__set_2EDELETE(bool),c_2Epred__set_2EDELETE(bool),arr(bool,arr(bool,bool)),arr(bool,bool)))|spl0_448),
% 45.82/6.20 inference(component_clause,[status(thm)],[f10165])).
% 45.82/6.20 fof(f10174,plain,(
% 45.82/6.20 $false|spl0_448),
% 45.82/6.20 inference(trivial_equality_resolution,[status(esa)],[f10167])).
% 45.82/6.20 fof(f10175,plain,(
% 46.55/6.26 spl0_448),
% 46.55/6.26 inference(contradiction_clause,[status(thm)],[f10174])).
% 46.55/6.26 fof(f10204,plain,(
% 46.55/6.26 spl0_450 <=> ap(c_2Epred__set_2EDELETE(ind),sk0_0(c_2Epred__set_2EDELETE(ind),c_2Epred__set_2EDELETE(ind),arr(ind,arr(ind,bool)),arr(ind,bool)))=ap(c_2Epred__set_2EDELETE(ind),sk0_0(c_2Epred__set_2EDELETE(ind),c_2Epred__set_2EDELETE(ind),arr(ind,arr(ind,bool)),arr(ind,bool)))),
% 46.55/6.26 introduced(split_symbol_definition)).
% 46.55/6.26 fof(f10206,plain,(
% 46.55/6.26 ~ap(c_2Epred__set_2EDELETE(ind),sk0_0(c_2Epred__set_2EDELETE(ind),c_2Epred__set_2EDELETE(ind),arr(ind,arr(ind,bool)),arr(ind,bool)))=ap(c_2Epred__set_2EDELETE(ind),sk0_0(c_2Epred__set_2EDELETE(ind),c_2Epred__set_2EDELETE(ind),arr(ind,arr(ind,bool)),arr(ind,bool)))|spl0_450),
% 46.55/6.26 inference(component_clause,[status(thm)],[f10204])).
% 46.55/6.26 fof(f10213,plain,(
% 46.55/6.26 $false|spl0_450),
% 46.55/6.26 inference(trivial_equality_resolution,[status(esa)],[f10206])).
% 46.55/6.26 fof(f10214,plain,(
% 46.55/6.26 spl0_450),
% 46.55/6.26 inference(contradiction_clause,[status(thm)],[f10213])).
% 46.55/6.26 fof(f10864,plain,(
% 46.55/6.26 spl0_482 <=> ap(c_2Ebool_2E_21(arr(bool,arr(bool,bool))),sk0_0(c_2Ebool_2E_21(arr(bool,arr(bool,bool))),c_2Ebool_2E_21(arr(bool,arr(bool,bool))),bool,arr(arr(bool,arr(bool,bool)),bool)))=ap(c_2Ebool_2E_21(arr(bool,arr(bool,bool))),sk0_0(c_2Ebool_2E_21(arr(bool,arr(bool,bool))),c_2Ebool_2E_21(arr(bool,arr(bool,bool))),bool,arr(arr(bool,arr(bool,bool)),bool)))),
% 46.55/6.26 introduced(split_symbol_definition)).
% 46.55/6.26 fof(f10866,plain,(
% 46.55/6.26 ~ap(c_2Ebool_2E_21(arr(bool,arr(bool,bool))),sk0_0(c_2Ebool_2E_21(arr(bool,arr(bool,bool))),c_2Ebool_2E_21(arr(bool,arr(bool,bool))),bool,arr(arr(bool,arr(bool,bool)),bool)))=ap(c_2Ebool_2E_21(arr(bool,arr(bool,bool))),sk0_0(c_2Ebool_2E_21(arr(bool,arr(bool,bool))),c_2Ebool_2E_21(arr(bool,arr(bool,bool))),bool,arr(arr(bool,arr(bool,bool)),bool)))|spl0_482),
% 46.55/6.26 inference(component_clause,[status(thm)],[f10864])).
% 46.55/6.26 fof(f10873,plain,(
% 46.55/6.26 $false|spl0_482),
% 46.55/6.26 inference(trivial_equality_resolution,[status(esa)],[f10866])).
% 46.55/6.26 fof(f10874,plain,(
% 46.55/6.26 spl0_482),
% 46.55/6.26 inference(contradiction_clause,[status(thm)],[f10873])).
% 46.55/6.26 fof(f15973,plain,(
% 46.55/6.26 ~mem(sk0_4,arr(sk0_3,bool))|~ne(sk0_3)|spl0_175),
% 46.55/6.26 inference(resolution,[status(thm)],[f2904,f74])).
% 46.55/6.26 fof(f15974,plain,(
% 46.55/6.26 ~spl0_75|~spl0_9|spl0_175),
% 46.55/6.26 inference(split_clause,[status(thm)],[f15973,f1393,f209,f2897])).
% 46.55/6.26 fof(f15975,plain,(
% 46.55/6.26 $false),
% 46.55/6.26 inference(sat_refutation,[status(thm)],[f216,f1401,f2901,f4460,f4818,f4825,f4944,f6596,f7420,f7719,f7979,f8188,f8273,f8631,f8715,f8732,f9331,f9893,f10175,f10214,f10874,f15974])).
% 46.55/6.26 % SZS output end CNFRefutation for theBenchmark.p
% 47.10/6.32 % Elapsed time: 5.953593 seconds
% 47.10/6.32 % CPU time: 46.969407 seconds
% 47.10/6.32 % Total memory used: 494.844 MB
% 47.10/6.32 % Net memory used: 468.575 MB
%------------------------------------------------------------------------------