TSTP Solution File: SWW102+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW102+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:44:25 EDT 2023
% Result : Theorem 4.02s 0.91s
% Output : CNFRefutation 4.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW102+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:08:12 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 4.02/0.91 % Refutation found
% 4.02/0.91 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.02/0.91 % SZS output start CNFRefutation for theBenchmark
% 4.02/0.91 fof(f1,axiom,(
% 4.02/0.91 (! [X] :( bool(X)<=> ( X = false| X = true ) ) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f2,axiom,(
% 4.02/0.91 ( true != false& true != err& false != err ) ),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f3,axiom,(
% 4.02/0.91 ( d(true)& d(false)& d(err) ) ),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f4,axiom,(
% 4.02/0.91 (! [X,Y] :( forallprefers(X,Y)<=> ( ( ~ d(X)& d(Y) )| ( d(X)& d(Y)& ~ bool(X)& bool(Y) )| ( X = false& Y = true ) ) ) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f6,axiom,(
% 4.02/0.91 (! [X] :( ( d(X)& phi(X) = X )| ( ~ d(X)& phi(X) = err ) ) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f7,axiom,(
% 4.02/0.91 (! [X] :( prop(X) = true<=> bool(X) ) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f8,axiom,(
% 4.02/0.91 (! [X] :( prop(X) = false<=> ~ bool(X) ) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f9,axiom,(
% 4.02/0.91 (! [A,B] :( ~ bool(A)=> impl(A,B) = phi(A) ) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f10,axiom,(
% 4.02/0.91 (! [A,B] :( ( bool(A)& ~ bool(B) )=> impl(A,B) = phi(B) ) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f11,axiom,(
% 4.02/0.91 (! [B] :( bool(B)=> impl(false,B) = true ) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f12,axiom,(
% 4.02/0.91 (! [B] :( bool(B)=> impl(true,B) = B ) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f14,axiom,(
% 4.02/0.91 (! [B] : lazy_impl(false,B) = true )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f15,axiom,(
% 4.02/0.91 (! [B] : lazy_impl(true,B) = phi(B) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f17,axiom,(
% 4.02/0.91 (! [A,B] :( ( bool(A)& ~ bool(B) )=> and1(A,B) = phi(B) ) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f18,axiom,(
% 4.02/0.91 (! [B] :( bool(B)=> and1(false,B) = false ) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f19,axiom,(
% 4.02/0.91 (! [B] :( bool(B)=> and1(true,B) = B ) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f29,axiom,(
% 4.02/0.91 (! [B] :( bool(B)=> or1(true,B) = true ) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f30,axiom,(
% 4.02/0.91 (! [B] :( bool(B)=> or1(false,B) = B ) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f39,axiom,(
% 4.02/0.91 (! [P] : f7(P) = lazy_impl(prop(P),P) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f40,axiom,(
% 4.02/0.91 (? [P] :( false2 = phi(f7(P))& ~ (? [P1] : forallprefers(f7(P1),f7(P)) )) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f41,axiom,(
% 4.02/0.91 (! [A] :( ~ bool(A)=> not1(A) = phi(A) ) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f42,axiom,(
% 4.02/0.91 not1(false) = true ),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f43,axiom,(
% 4.02/0.91 not1(true) = false ),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f44,axiom,(
% 4.02/0.91 (! [P] : not2(P) = impl(P,false2) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f45,conjecture,(
% 4.02/0.91 (! [P] : not1(P) = not2(P) )),
% 4.02/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.02/0.91 fof(f46,negated_conjecture,(
% 4.02/0.91 ~((! [P] : not1(P) = not2(P) ))),
% 4.02/0.91 inference(negated_conjecture,[status(cth)],[f45])).
% 4.02/0.91 fof(f47,plain,(
% 4.02/0.91 ![X]: ((~bool(X)|(X=false|X=true))&(bool(X)|(~X=false&~X=true)))),
% 4.02/0.91 inference(NNF_transformation,[status(esa)],[f1])).
% 4.02/0.91 fof(f48,plain,(
% 4.02/0.91 (![X]: (~bool(X)|(X=false|X=true)))&(![X]: (bool(X)|(~X=false&~X=true)))),
% 4.02/0.91 inference(miniscoping,[status(esa)],[f47])).
% 4.02/0.91 fof(f49,plain,(
% 4.02/0.91 ![X0]: (~bool(X0)|X0=false|X0=true)),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f48])).
% 4.02/0.91 fof(f50,plain,(
% 4.02/0.91 ![X0]: (bool(X0)|~X0=false)),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f48])).
% 4.02/0.91 fof(f51,plain,(
% 4.02/0.91 ![X0]: (bool(X0)|~X0=true)),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f48])).
% 4.02/0.91 fof(f52,plain,(
% 4.02/0.91 ~true=false),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f2])).
% 4.02/0.91 fof(f53,plain,(
% 4.02/0.91 ~true=err),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f2])).
% 4.02/0.91 fof(f54,plain,(
% 4.02/0.91 ~false=err),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f2])).
% 4.02/0.91 fof(f55,plain,(
% 4.02/0.91 d(true)),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f3])).
% 4.02/0.91 fof(f56,plain,(
% 4.02/0.91 d(false)),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f3])).
% 4.02/0.91 fof(f57,plain,(
% 4.02/0.91 d(err)),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f3])).
% 4.02/0.91 fof(f58,plain,(
% 4.02/0.91 ![X,Y]: (pd0_0(Y,X)<=>((~d(X)&d(Y))|(((d(X)&d(Y))&~bool(X))&bool(Y))))),
% 4.02/0.91 introduced(predicate_definition,[f4])).
% 4.02/0.91 fof(f59,plain,(
% 4.02/0.91 ![X,Y]: (forallprefers(X,Y)<=>(pd0_0(Y,X)|(X=false&Y=true)))),
% 4.02/0.91 inference(formula_renaming,[status(thm)],[f4,f58])).
% 4.02/0.91 fof(f60,plain,(
% 4.02/0.91 ![X,Y]: ((~forallprefers(X,Y)|(pd0_0(Y,X)|(X=false&Y=true)))&(forallprefers(X,Y)|(~pd0_0(Y,X)&(~X=false|~Y=true))))),
% 4.02/0.91 inference(NNF_transformation,[status(esa)],[f59])).
% 4.02/0.91 fof(f61,plain,(
% 4.02/0.91 (![X,Y]: (~forallprefers(X,Y)|(pd0_0(Y,X)|(X=false&Y=true))))&(![X,Y]: (forallprefers(X,Y)|(~pd0_0(Y,X)&(~X=false|~Y=true))))),
% 4.02/0.91 inference(miniscoping,[status(esa)],[f60])).
% 4.02/0.91 fof(f65,plain,(
% 4.02/0.91 ![X0,X1]: (forallprefers(X0,X1)|~X0=false|~X1=true)),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f61])).
% 4.02/0.91 fof(f74,plain,(
% 4.02/0.91 ![X]: (pd0_2(X)=>(d(X)&phi(X)=X))),
% 4.02/0.91 introduced(predicate_definition,[f6])).
% 4.02/0.91 fof(f75,plain,(
% 4.02/0.91 ![X]: (pd0_2(X)|(~d(X)&phi(X)=err))),
% 4.02/0.91 inference(formula_renaming,[status(thm)],[f6,f74])).
% 4.02/0.91 fof(f76,plain,(
% 4.02/0.91 ![X0]: (pd0_2(X0)|~d(X0))),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f75])).
% 4.02/0.91 fof(f77,plain,(
% 4.02/0.91 ![X0]: (pd0_2(X0)|phi(X0)=err)),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f75])).
% 4.02/0.91 fof(f78,plain,(
% 4.02/0.91 ![X]: ((~prop(X)=true|bool(X))&(prop(X)=true|~bool(X)))),
% 4.02/0.91 inference(NNF_transformation,[status(esa)],[f7])).
% 4.02/0.91 fof(f79,plain,(
% 4.02/0.91 (![X]: (~prop(X)=true|bool(X)))&(![X]: (prop(X)=true|~bool(X)))),
% 4.02/0.91 inference(miniscoping,[status(esa)],[f78])).
% 4.02/0.91 fof(f81,plain,(
% 4.02/0.91 ![X0]: (prop(X0)=true|~bool(X0))),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f79])).
% 4.02/0.91 fof(f82,plain,(
% 4.02/0.91 ![X]: ((~prop(X)=false|~bool(X))&(prop(X)=false|bool(X)))),
% 4.02/0.91 inference(NNF_transformation,[status(esa)],[f8])).
% 4.02/0.91 fof(f83,plain,(
% 4.02/0.91 (![X]: (~prop(X)=false|~bool(X)))&(![X]: (prop(X)=false|bool(X)))),
% 4.02/0.91 inference(miniscoping,[status(esa)],[f82])).
% 4.02/0.91 fof(f84,plain,(
% 4.02/0.91 ![X0]: (~prop(X0)=false|~bool(X0))),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f83])).
% 4.02/0.91 fof(f85,plain,(
% 4.02/0.91 ![X0]: (prop(X0)=false|bool(X0))),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f83])).
% 4.02/0.91 fof(f86,plain,(
% 4.02/0.91 ![A,B]: (bool(A)|impl(A,B)=phi(A))),
% 4.02/0.91 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 4.02/0.91 fof(f87,plain,(
% 4.02/0.91 ![A]: (bool(A)|(![B]: impl(A,B)=phi(A)))),
% 4.02/0.91 inference(miniscoping,[status(esa)],[f86])).
% 4.02/0.91 fof(f88,plain,(
% 4.02/0.91 ![X0,X1]: (bool(X0)|impl(X0,X1)=phi(X0))),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f87])).
% 4.02/0.91 fof(f89,plain,(
% 4.02/0.91 ![A,B]: ((~bool(A)|bool(B))|impl(A,B)=phi(B))),
% 4.02/0.91 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 4.02/0.91 fof(f90,plain,(
% 4.02/0.91 ![X0,X1]: (~bool(X0)|bool(X1)|impl(X0,X1)=phi(X1))),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f89])).
% 4.02/0.91 fof(f91,plain,(
% 4.02/0.91 ![B]: (~bool(B)|impl(false,B)=true)),
% 4.02/0.91 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 4.02/0.91 fof(f92,plain,(
% 4.02/0.91 ![X0]: (~bool(X0)|impl(false,X0)=true)),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f91])).
% 4.02/0.91 fof(f93,plain,(
% 4.02/0.91 ![B]: (~bool(B)|impl(true,B)=B)),
% 4.02/0.91 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 4.02/0.91 fof(f94,plain,(
% 4.02/0.91 ![X0]: (~bool(X0)|impl(true,X0)=X0)),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f93])).
% 4.02/0.91 fof(f98,plain,(
% 4.02/0.91 ![X0]: (lazy_impl(false,X0)=true)),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f14])).
% 4.02/0.91 fof(f99,plain,(
% 4.02/0.91 ![X0]: (lazy_impl(true,X0)=phi(X0))),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f15])).
% 4.02/0.91 fof(f103,plain,(
% 4.02/0.91 ![A,B]: ((~bool(A)|bool(B))|and1(A,B)=phi(B))),
% 4.02/0.91 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 4.02/0.91 fof(f104,plain,(
% 4.02/0.91 ![X0,X1]: (~bool(X0)|bool(X1)|and1(X0,X1)=phi(X1))),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f103])).
% 4.02/0.91 fof(f105,plain,(
% 4.02/0.91 ![B]: (~bool(B)|and1(false,B)=false)),
% 4.02/0.91 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 4.02/0.91 fof(f106,plain,(
% 4.02/0.91 ![X0]: (~bool(X0)|and1(false,X0)=false)),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f105])).
% 4.02/0.91 fof(f107,plain,(
% 4.02/0.91 ![B]: (~bool(B)|and1(true,B)=B)),
% 4.02/0.91 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 4.02/0.91 fof(f108,plain,(
% 4.02/0.91 ![X0]: (~bool(X0)|and1(true,X0)=X0)),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f107])).
% 4.02/0.91 fof(f129,plain,(
% 4.02/0.91 ![B]: (~bool(B)|or1(true,B)=true)),
% 4.02/0.91 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 4.02/0.91 fof(f130,plain,(
% 4.02/0.91 ![X0]: (~bool(X0)|or1(true,X0)=true)),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f129])).
% 4.02/0.91 fof(f131,plain,(
% 4.02/0.91 ![B]: (~bool(B)|or1(false,B)=B)),
% 4.02/0.91 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 4.02/0.91 fof(f132,plain,(
% 4.02/0.91 ![X0]: (~bool(X0)|or1(false,X0)=X0)),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f131])).
% 4.02/0.91 fof(f153,plain,(
% 4.02/0.91 ![X0]: (f7(X0)=lazy_impl(prop(X0),X0))),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f39])).
% 4.02/0.91 fof(f154,plain,(
% 4.02/0.91 ?[P]: (false2=phi(f7(P))&(![P1]: ~forallprefers(f7(P1),f7(P))))),
% 4.02/0.91 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 4.02/0.91 fof(f155,plain,(
% 4.02/0.91 (false2=phi(f7(sk0_6))&(![P1]: ~forallprefers(f7(P1),f7(sk0_6))))),
% 4.02/0.91 inference(skolemization,[status(esa)],[f154])).
% 4.02/0.91 fof(f156,plain,(
% 4.02/0.91 false2=phi(f7(sk0_6))),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f155])).
% 4.02/0.91 fof(f157,plain,(
% 4.02/0.91 ![X0]: (~forallprefers(f7(X0),f7(sk0_6)))),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f155])).
% 4.02/0.91 fof(f158,plain,(
% 4.02/0.91 ![A]: (bool(A)|not1(A)=phi(A))),
% 4.02/0.91 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 4.02/0.91 fof(f159,plain,(
% 4.02/0.91 ![X0]: (bool(X0)|not1(X0)=phi(X0))),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f158])).
% 4.02/0.91 fof(f160,plain,(
% 4.02/0.91 not1(false)=true),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f42])).
% 4.02/0.91 fof(f161,plain,(
% 4.02/0.91 not1(true)=false),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f43])).
% 4.02/0.91 fof(f162,plain,(
% 4.02/0.91 ![X0]: (not2(X0)=impl(X0,false2))),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f44])).
% 4.02/0.91 fof(f163,plain,(
% 4.02/0.91 (?[P]: ~not1(P)=not2(P))),
% 4.02/0.91 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 4.02/0.91 fof(f164,plain,(
% 4.02/0.91 ~not1(sk0_7)=not2(sk0_7)),
% 4.02/0.91 inference(skolemization,[status(esa)],[f163])).
% 4.02/0.91 fof(f165,plain,(
% 4.02/0.91 ~not1(sk0_7)=not2(sk0_7)),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f164])).
% 4.02/0.91 fof(f186,plain,(
% 4.02/0.91 ![X]: (~pd0_2(X)|(d(X)&phi(X)=X))),
% 4.02/0.91 inference(pre_NNF_transformation,[status(esa)],[f74])).
% 4.02/0.91 fof(f188,plain,(
% 4.02/0.91 ![X0]: (~pd0_2(X0)|phi(X0)=X0)),
% 4.02/0.91 inference(cnf_transformation,[status(esa)],[f186])).
% 4.02/0.91 fof(f199,plain,(
% 4.02/0.91 bool(false)),
% 4.02/0.91 inference(destructive_equality_resolution,[status(esa)],[f50])).
% 4.02/0.91 fof(f200,plain,(
% 4.02/0.91 bool(true)),
% 4.02/0.91 inference(destructive_equality_resolution,[status(esa)],[f51])).
% 4.02/0.91 fof(f201,plain,(
% 4.02/0.91 forallprefers(false,true)),
% 4.02/0.91 inference(destructive_equality_resolution,[status(esa)],[f65])).
% 4.02/0.91 fof(f205,plain,(
% 4.02/0.91 ![X0]: (X0=false|X0=true|not1(X0)=phi(X0))),
% 4.02/0.91 inference(resolution,[status(thm)],[f49,f159])).
% 4.02/0.91 fof(f206,plain,(
% 4.02/0.91 spl0_0 <=> true=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f207,plain,(
% 4.02/0.91 true=false|~spl0_0),
% 4.02/0.91 inference(component_clause,[status(thm)],[f206])).
% 4.02/0.91 fof(f209,plain,(
% 4.02/0.91 spl0_1 <=> true=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f212,plain,(
% 4.02/0.91 spl0_2 <=> false=phi(true)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f213,plain,(
% 4.02/0.91 false=phi(true)|~spl0_2),
% 4.02/0.91 inference(component_clause,[status(thm)],[f212])).
% 4.02/0.91 fof(f217,plain,(
% 4.02/0.91 spl0_3 <=> false=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f220,plain,(
% 4.02/0.91 spl0_4 <=> true=phi(false)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f221,plain,(
% 4.02/0.91 true=phi(false)|~spl0_4),
% 4.02/0.91 inference(component_clause,[status(thm)],[f220])).
% 4.02/0.91 fof(f229,plain,(
% 4.02/0.91 $false|~spl0_0),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f207,f52])).
% 4.02/0.91 fof(f230,plain,(
% 4.02/0.91 ~spl0_0),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f229])).
% 4.02/0.91 fof(f231,plain,(
% 4.02/0.91 false=false|false=true),
% 4.02/0.91 inference(resolution,[status(thm)],[f199,f49])).
% 4.02/0.91 fof(f232,plain,(
% 4.02/0.91 spl0_3|spl0_0),
% 4.02/0.91 inference(split_clause,[status(thm)],[f231,f217,f206])).
% 4.02/0.91 fof(f233,plain,(
% 4.02/0.91 true=false|true=true),
% 4.02/0.91 inference(resolution,[status(thm)],[f200,f49])).
% 4.02/0.91 fof(f234,plain,(
% 4.02/0.91 spl0_0|spl0_1),
% 4.02/0.91 inference(split_clause,[status(thm)],[f233,f206,f209])).
% 4.02/0.91 fof(f235,plain,(
% 4.02/0.91 prop(true)=true),
% 4.02/0.91 inference(resolution,[status(thm)],[f81,f200])).
% 4.02/0.91 fof(f236,plain,(
% 4.02/0.91 prop(false)=true),
% 4.02/0.91 inference(resolution,[status(thm)],[f81,f199])).
% 4.02/0.91 fof(f237,plain,(
% 4.02/0.91 ![X0]: (prop(X0)=true|not1(X0)=phi(X0))),
% 4.02/0.91 inference(resolution,[status(thm)],[f81,f159])).
% 4.02/0.91 fof(f238,plain,(
% 4.02/0.91 spl0_5 <=> not1(true)=phi(true)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f239,plain,(
% 4.02/0.91 not1(true)=phi(true)|~spl0_5),
% 4.02/0.91 inference(component_clause,[status(thm)],[f238])).
% 4.02/0.91 fof(f245,plain,(
% 4.02/0.91 spl0_6 <=> not1(false)=phi(false)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f246,plain,(
% 4.02/0.91 not1(false)=phi(false)|~spl0_6),
% 4.02/0.91 inference(component_clause,[status(thm)],[f245])).
% 4.02/0.91 fof(f255,plain,(
% 4.02/0.91 spl0_7 <=> impl(true,true)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f260,plain,(
% 4.02/0.91 spl0_8 <=> impl(true,false)=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f271,plain,(
% 4.02/0.91 ![X0]: (impl(false,X0)=true|not1(X0)=phi(X0))),
% 4.02/0.91 inference(resolution,[status(thm)],[f92,f159])).
% 4.02/0.91 fof(f272,plain,(
% 4.02/0.91 spl0_9 <=> impl(false,true)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f275,plain,(
% 4.02/0.91 impl(false,true)=true|false=phi(true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f161,f271])).
% 4.02/0.91 fof(f276,plain,(
% 4.02/0.91 spl0_9|spl0_2),
% 4.02/0.91 inference(split_clause,[status(thm)],[f275,f272,f212])).
% 4.02/0.91 fof(f277,plain,(
% 4.02/0.91 spl0_10 <=> impl(false,false)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f280,plain,(
% 4.02/0.91 impl(false,false)=true|true=phi(false)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f160,f271])).
% 4.02/0.91 fof(f281,plain,(
% 4.02/0.91 spl0_10|spl0_4),
% 4.02/0.91 inference(split_clause,[status(thm)],[f280,f277,f220])).
% 4.02/0.91 fof(f288,plain,(
% 4.02/0.91 ![X0]: (and1(false,X0)=false|not1(X0)=phi(X0))),
% 4.02/0.91 inference(resolution,[status(thm)],[f106,f159])).
% 4.02/0.91 fof(f299,plain,(
% 4.02/0.91 ![X0]: (or1(true,X0)=true|not1(X0)=phi(X0))),
% 4.02/0.91 inference(resolution,[status(thm)],[f130,f159])).
% 4.02/0.91 fof(f319,plain,(
% 4.02/0.91 spl0_11 <=> bool(false)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f321,plain,(
% 4.02/0.91 ~bool(false)|spl0_11),
% 4.02/0.91 inference(component_clause,[status(thm)],[f319])).
% 4.02/0.91 fof(f322,plain,(
% 4.02/0.91 spl0_12 <=> d(false)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f324,plain,(
% 4.02/0.91 ~d(false)|spl0_12),
% 4.02/0.91 inference(component_clause,[status(thm)],[f322])).
% 4.02/0.91 fof(f329,plain,(
% 4.02/0.91 spl0_13 <=> bool(true)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f331,plain,(
% 4.02/0.91 ~bool(true)|spl0_13),
% 4.02/0.91 inference(component_clause,[status(thm)],[f329])).
% 4.02/0.91 fof(f332,plain,(
% 4.02/0.91 spl0_14 <=> d(true)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f334,plain,(
% 4.02/0.91 ~d(true)|spl0_14),
% 4.02/0.91 inference(component_clause,[status(thm)],[f332])).
% 4.02/0.91 fof(f339,plain,(
% 4.02/0.91 ![X0]: (phi(X0)=X0|phi(X0)=err)),
% 4.02/0.91 inference(resolution,[status(thm)],[f188,f77])).
% 4.02/0.91 fof(f340,plain,(
% 4.02/0.91 ![X0]: (phi(X0)=X0|~d(X0))),
% 4.02/0.91 inference(resolution,[status(thm)],[f188,f76])).
% 4.02/0.91 fof(f341,plain,(
% 4.02/0.91 phi(false)=false),
% 4.02/0.91 inference(resolution,[status(thm)],[f340,f56])).
% 4.02/0.91 fof(f342,plain,(
% 4.02/0.91 true=false|~spl0_4),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f221,f341])).
% 4.02/0.91 fof(f343,plain,(
% 4.02/0.91 $false|~spl0_4),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f342,f52])).
% 4.02/0.91 fof(f344,plain,(
% 4.02/0.91 ~spl0_4),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f343])).
% 4.02/0.91 fof(f345,plain,(
% 4.02/0.91 phi(true)=true),
% 4.02/0.91 inference(resolution,[status(thm)],[f340,f55])).
% 4.02/0.91 fof(f346,plain,(
% 4.02/0.91 false=true|~spl0_2),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f213,f345])).
% 4.02/0.91 fof(f347,plain,(
% 4.02/0.91 $false|~spl0_2),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f346,f52])).
% 4.02/0.91 fof(f348,plain,(
% 4.02/0.91 ~spl0_2),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f347])).
% 4.02/0.91 fof(f349,plain,(
% 4.02/0.91 phi(err)=err),
% 4.02/0.91 inference(resolution,[status(thm)],[f340,f57])).
% 4.02/0.91 fof(f357,plain,(
% 4.02/0.91 spl0_15 <=> phi(true)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f368,plain,(
% 4.02/0.91 spl0_16 <=> phi(false)=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f394,plain,(
% 4.02/0.91 ![X0]: (~prop(X0)=false|not1(X0)=phi(X0))),
% 4.02/0.91 inference(resolution,[status(thm)],[f84,f159])).
% 4.02/0.91 fof(f395,plain,(
% 4.02/0.91 spl0_17 <=> prop(true)=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f398,plain,(
% 4.02/0.91 ~prop(true)=false|false=phi(true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f161,f394])).
% 4.02/0.91 fof(f399,plain,(
% 4.02/0.91 ~spl0_17|spl0_2),
% 4.02/0.91 inference(split_clause,[status(thm)],[f398,f395,f212])).
% 4.02/0.91 fof(f400,plain,(
% 4.02/0.91 spl0_18 <=> prop(false)=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f403,plain,(
% 4.02/0.91 ~prop(false)=false|true=phi(false)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f160,f394])).
% 4.02/0.91 fof(f404,plain,(
% 4.02/0.91 ~spl0_18|spl0_4),
% 4.02/0.91 inference(split_clause,[status(thm)],[f403,f400,f220])).
% 4.02/0.91 fof(f408,plain,(
% 4.02/0.91 ![X0]: (prop(X0)=false|and1(false,X0)=false)),
% 4.02/0.91 inference(resolution,[status(thm)],[f85,f106])).
% 4.02/0.91 fof(f409,plain,(
% 4.02/0.91 ![X0]: (prop(X0)=false|impl(false,X0)=true)),
% 4.02/0.91 inference(resolution,[status(thm)],[f85,f92])).
% 4.02/0.91 fof(f410,plain,(
% 4.02/0.91 ![X0]: (prop(X0)=false|impl(true,X0)=X0)),
% 4.02/0.91 inference(resolution,[status(thm)],[f85,f94])).
% 4.02/0.91 fof(f411,plain,(
% 4.02/0.91 ![X0]: (prop(X0)=false|prop(X0)=true)),
% 4.02/0.91 inference(resolution,[status(thm)],[f85,f81])).
% 4.02/0.91 fof(f412,plain,(
% 4.02/0.91 ![X0]: (prop(X0)=false|X0=false|X0=true)),
% 4.02/0.91 inference(resolution,[status(thm)],[f85,f49])).
% 4.02/0.91 fof(f413,plain,(
% 4.02/0.91 spl0_19 <=> prop(false)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f416,plain,(
% 4.02/0.91 true=false|prop(false)=true),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f236,f411])).
% 4.02/0.91 fof(f417,plain,(
% 4.02/0.91 spl0_0|spl0_19),
% 4.02/0.91 inference(split_clause,[status(thm)],[f416,f206,f413])).
% 4.02/0.91 fof(f418,plain,(
% 4.02/0.91 spl0_20 <=> prop(true)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f421,plain,(
% 4.02/0.91 true=false|prop(true)=true),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f235,f411])).
% 4.02/0.91 fof(f422,plain,(
% 4.02/0.91 spl0_0|spl0_20),
% 4.02/0.91 inference(split_clause,[status(thm)],[f421,f206,f418])).
% 4.02/0.91 fof(f423,plain,(
% 4.02/0.91 spl0_21 <=> prop(X0)=true|not1(X0)=phi(X0)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f439,plain,(
% 4.02/0.91 true=false|impl(true,false)=false),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f236,f410])).
% 4.02/0.91 fof(f440,plain,(
% 4.02/0.91 spl0_0|spl0_8),
% 4.02/0.91 inference(split_clause,[status(thm)],[f439,f206,f260])).
% 4.02/0.91 fof(f441,plain,(
% 4.02/0.91 true=false|impl(true,true)=true),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f235,f410])).
% 4.02/0.91 fof(f442,plain,(
% 4.02/0.91 spl0_0|spl0_7),
% 4.02/0.91 inference(split_clause,[status(thm)],[f441,f206,f255])).
% 4.02/0.91 fof(f448,plain,(
% 4.02/0.91 spl0_24 <=> impl(true,X0)=X0|not1(X0)=phi(X0)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f475,plain,(
% 4.02/0.91 spl0_27 <=> X0=false|X0=true|not1(X0)=phi(X0)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f494,plain,(
% 4.02/0.91 spl0_28 <=> prop(X0)=false|not1(X0)=phi(X0)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f495,plain,(
% 4.02/0.91 ![X0]: (prop(X0)=false|not1(X0)=phi(X0)|~spl0_28)),
% 4.02/0.91 inference(component_clause,[status(thm)],[f494])).
% 4.02/0.91 fof(f521,plain,(
% 4.02/0.91 spl0_29 <=> prop(false2)=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f522,plain,(
% 4.02/0.91 prop(false2)=false|~spl0_29),
% 4.02/0.91 inference(component_clause,[status(thm)],[f521])).
% 4.02/0.91 fof(f523,plain,(
% 4.02/0.91 ~prop(false2)=false|spl0_29),
% 4.02/0.91 inference(component_clause,[status(thm)],[f521])).
% 4.02/0.91 fof(f524,plain,(
% 4.02/0.91 spl0_30 <=> not2(false)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f525,plain,(
% 4.02/0.91 not2(false)=true|~spl0_30),
% 4.02/0.91 inference(component_clause,[status(thm)],[f524])).
% 4.02/0.91 fof(f535,plain,(
% 4.02/0.91 spl0_31 <=> false2=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f536,plain,(
% 4.02/0.91 false2=false|~spl0_31),
% 4.02/0.91 inference(component_clause,[status(thm)],[f535])).
% 4.02/0.91 fof(f538,plain,(
% 4.02/0.91 spl0_32 <=> false2=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f539,plain,(
% 4.02/0.91 false2=true|~spl0_32),
% 4.02/0.91 inference(component_clause,[status(thm)],[f538])).
% 4.02/0.91 fof(f540,plain,(
% 4.02/0.91 ~false2=true|spl0_32),
% 4.02/0.91 inference(component_clause,[status(thm)],[f538])).
% 4.02/0.91 fof(f543,plain,(
% 4.02/0.91 spl0_33 <=> impl(true,false2)=false2),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f544,plain,(
% 4.02/0.91 impl(true,false2)=false2|~spl0_33),
% 4.02/0.91 inference(component_clause,[status(thm)],[f543])).
% 4.02/0.91 fof(f548,plain,(
% 4.02/0.91 spl0_34 <=> prop(false2)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f549,plain,(
% 4.02/0.91 prop(false2)=true|~spl0_34),
% 4.02/0.91 inference(component_clause,[status(thm)],[f548])).
% 4.02/0.91 fof(f553,plain,(
% 4.02/0.91 spl0_35 <=> not1(false2)=phi(false2)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f554,plain,(
% 4.02/0.91 not1(false2)=phi(false2)|~spl0_35),
% 4.02/0.91 inference(component_clause,[status(thm)],[f553])).
% 4.02/0.91 fof(f556,plain,(
% 4.02/0.91 true=false|not1(false2)=phi(false2)|~spl0_29),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f237,f522])).
% 4.02/0.91 fof(f557,plain,(
% 4.02/0.91 spl0_0|spl0_35|~spl0_29),
% 4.02/0.91 inference(split_clause,[status(thm)],[f556,f206,f553,f521])).
% 4.02/0.91 fof(f566,plain,(
% 4.02/0.91 false2=false|false2=true|spl0_29),
% 4.02/0.91 inference(resolution,[status(thm)],[f523,f412])).
% 4.02/0.91 fof(f567,plain,(
% 4.02/0.91 spl0_31|spl0_32|spl0_29),
% 4.02/0.91 inference(split_clause,[status(thm)],[f566,f535,f538,f521])).
% 4.02/0.91 fof(f573,plain,(
% 4.02/0.91 ~false=false|impl(true,false2)=false2|spl0_29),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f410,f523])).
% 4.02/0.91 fof(f574,plain,(
% 4.02/0.91 ~spl0_3|spl0_33|spl0_29),
% 4.02/0.91 inference(split_clause,[status(thm)],[f573,f217,f543,f521])).
% 4.02/0.91 fof(f580,plain,(
% 4.02/0.91 not2(true)=false2|~spl0_33),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f162,f544])).
% 4.02/0.91 fof(f581,plain,(
% 4.02/0.91 true=false|~spl0_34|~spl0_29),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f549,f522])).
% 4.02/0.91 fof(f582,plain,(
% 4.02/0.91 $false|~spl0_34|~spl0_29),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f581,f52])).
% 4.02/0.91 fof(f583,plain,(
% 4.02/0.91 ~spl0_34|~spl0_29),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f582])).
% 4.02/0.91 fof(f586,plain,(
% 4.02/0.91 ![X0]: (not2(X0)=impl(X0,false)|~spl0_31)),
% 4.02/0.91 inference(backward_demodulation,[status(thm)],[f536,f162])).
% 4.02/0.91 fof(f593,plain,(
% 4.02/0.91 not2(false)=true|prop(false)=false|~spl0_31),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f409,f586])).
% 4.02/0.91 fof(f594,plain,(
% 4.02/0.91 spl0_30|spl0_18|~spl0_31),
% 4.02/0.91 inference(split_clause,[status(thm)],[f593,f524,f400,f535])).
% 4.02/0.91 fof(f623,plain,(
% 4.02/0.91 ![X0]: (and1(true,X0)=X0|prop(X0)=false)),
% 4.02/0.91 inference(resolution,[status(thm)],[f108,f85])).
% 4.02/0.91 fof(f626,plain,(
% 4.02/0.91 spl0_36 <=> and1(true,false)=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f629,plain,(
% 4.02/0.91 and1(true,false)=false|true=false),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f236,f623])).
% 4.02/0.91 fof(f630,plain,(
% 4.02/0.91 spl0_36|spl0_0),
% 4.02/0.91 inference(split_clause,[status(thm)],[f629,f626,f206])).
% 4.02/0.91 fof(f631,plain,(
% 4.02/0.91 spl0_37 <=> and1(true,true)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f634,plain,(
% 4.02/0.91 and1(true,true)=true|true=false),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f235,f623])).
% 4.02/0.91 fof(f635,plain,(
% 4.02/0.91 spl0_37|spl0_0),
% 4.02/0.91 inference(split_clause,[status(thm)],[f634,f631,f206])).
% 4.02/0.91 fof(f651,plain,(
% 4.02/0.91 spl0_41 <=> and1(true,X0)=X0|not1(X0)=phi(X0)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f670,plain,(
% 4.02/0.91 ![X0]: (or1(false,X0)=X0|prop(X0)=false)),
% 4.02/0.91 inference(resolution,[status(thm)],[f132,f85])).
% 4.02/0.91 fof(f673,plain,(
% 4.02/0.91 spl0_42 <=> or1(false,false)=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f676,plain,(
% 4.02/0.91 or1(false,false)=false|true=false),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f236,f670])).
% 4.02/0.91 fof(f677,plain,(
% 4.02/0.91 spl0_42|spl0_0),
% 4.02/0.91 inference(split_clause,[status(thm)],[f676,f673,f206])).
% 4.02/0.91 fof(f678,plain,(
% 4.02/0.91 spl0_43 <=> or1(false,true)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f681,plain,(
% 4.02/0.91 or1(false,true)=true|true=false),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f235,f670])).
% 4.02/0.91 fof(f682,plain,(
% 4.02/0.91 spl0_43|spl0_0),
% 4.02/0.91 inference(split_clause,[status(thm)],[f681,f678,f206])).
% 4.02/0.91 fof(f703,plain,(
% 4.02/0.91 spl0_48 <=> or1(false,X0)=X0|not1(X0)=phi(X0)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f722,plain,(
% 4.02/0.91 f7(false)=lazy_impl(true,false)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f236,f153])).
% 4.02/0.91 fof(f723,plain,(
% 4.02/0.91 f7(false)=phi(false)),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f99,f722])).
% 4.02/0.91 fof(f724,plain,(
% 4.02/0.91 f7(false)=false),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f341,f723])).
% 4.02/0.91 fof(f725,plain,(
% 4.02/0.91 f7(true)=lazy_impl(true,true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f235,f153])).
% 4.02/0.91 fof(f726,plain,(
% 4.02/0.91 f7(true)=phi(true)),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f99,f725])).
% 4.02/0.91 fof(f727,plain,(
% 4.02/0.91 f7(true)=true),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f345,f726])).
% 4.02/0.91 fof(f732,plain,(
% 4.02/0.91 ![X0]: (f7(X0)=lazy_impl(false,X0)|X0=false|X0=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f412,f153])).
% 4.02/0.91 fof(f733,plain,(
% 4.02/0.91 ![X0]: (f7(X0)=true|X0=false|X0=true)),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f98,f732])).
% 4.02/0.91 fof(f736,plain,(
% 4.02/0.91 ![X0]: (f7(X0)=lazy_impl(false,X0)|prop(X0)=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f411,f153])).
% 4.02/0.91 fof(f737,plain,(
% 4.02/0.91 ![X0]: (f7(X0)=true|prop(X0)=true)),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f98,f736])).
% 4.02/0.91 fof(f738,plain,(
% 4.02/0.91 ![X0]: (f7(X0)=lazy_impl(true,X0)|not1(X0)=phi(X0))),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f237,f153])).
% 4.02/0.91 fof(f739,plain,(
% 4.02/0.91 ![X0]: (f7(X0)=phi(X0)|not1(X0)=phi(X0))),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f99,f738])).
% 4.02/0.91 fof(f740,plain,(
% 4.02/0.91 ~forallprefers(false,f7(sk0_6))),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f724,f157])).
% 4.02/0.91 fof(f755,plain,(
% 4.02/0.91 spl0_50 <=> ~forallprefers(f7(X0),true)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f887,plain,(
% 4.02/0.91 spl0_56 <=> sk0_6=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f888,plain,(
% 4.02/0.91 sk0_6=false|~spl0_56),
% 4.02/0.91 inference(component_clause,[status(thm)],[f887])).
% 4.02/0.91 fof(f890,plain,(
% 4.02/0.91 spl0_57 <=> sk0_6=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f891,plain,(
% 4.02/0.91 sk0_6=true|~spl0_57),
% 4.02/0.91 inference(component_clause,[status(thm)],[f890])).
% 4.02/0.91 fof(f895,plain,(
% 4.02/0.91 ![X0]: (~forallprefers(f7(X0),true)|sk0_6=false|sk0_6=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f733,f157])).
% 4.02/0.91 fof(f896,plain,(
% 4.02/0.91 spl0_50|spl0_56|spl0_57),
% 4.02/0.91 inference(split_clause,[status(thm)],[f895,f755,f887,f890])).
% 4.02/0.91 fof(f971,plain,(
% 4.02/0.91 spl0_63 <=> true=err),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f972,plain,(
% 4.02/0.91 true=err|~spl0_63),
% 4.02/0.91 inference(component_clause,[status(thm)],[f971])).
% 4.02/0.91 fof(f974,plain,(
% 4.02/0.91 phi(true)=true|true=err),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f345,f339])).
% 4.02/0.91 fof(f975,plain,(
% 4.02/0.91 spl0_15|spl0_63),
% 4.02/0.91 inference(split_clause,[status(thm)],[f974,f357,f971])).
% 4.02/0.91 fof(f976,plain,(
% 4.02/0.91 spl0_64 <=> false=err),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f977,plain,(
% 4.02/0.91 false=err|~spl0_64),
% 4.02/0.91 inference(component_clause,[status(thm)],[f976])).
% 4.02/0.91 fof(f996,plain,(
% 4.02/0.91 ![X0,X1]: (impl(X0,X1)=phi(X0)|prop(X0)=true)),
% 4.02/0.91 inference(resolution,[status(thm)],[f88,f81])).
% 4.02/0.91 fof(f1007,plain,(
% 4.02/0.91 ![X0]: (not2(X0)=phi(X0)|prop(X0)=true|~spl0_31)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f586,f996])).
% 4.02/0.91 fof(f1023,plain,(
% 4.02/0.91 spl0_66 <=> not1(sk0_7)=phi(sk0_7)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1025,plain,(
% 4.02/0.91 ~not1(sk0_7)=phi(sk0_7)|spl0_66),
% 4.02/0.91 inference(component_clause,[status(thm)],[f1023])).
% 4.02/0.91 fof(f1026,plain,(
% 4.02/0.91 spl0_67 <=> prop(sk0_7)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1027,plain,(
% 4.02/0.91 prop(sk0_7)=true|~spl0_67),
% 4.02/0.91 inference(component_clause,[status(thm)],[f1026])).
% 4.02/0.91 fof(f1029,plain,(
% 4.02/0.91 ~not1(sk0_7)=phi(sk0_7)|prop(sk0_7)=true|~spl0_31),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f1007,f165])).
% 4.02/0.91 fof(f1030,plain,(
% 4.02/0.91 ~spl0_66|spl0_67|~spl0_31),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1029,f1023,f1026,f535])).
% 4.02/0.91 fof(f1034,plain,(
% 4.02/0.91 spl0_68 <=> sk0_7=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1035,plain,(
% 4.02/0.91 sk0_7=false|~spl0_68),
% 4.02/0.91 inference(component_clause,[status(thm)],[f1034])).
% 4.02/0.91 fof(f1037,plain,(
% 4.02/0.91 spl0_69 <=> sk0_7=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1038,plain,(
% 4.02/0.91 sk0_7=true|~spl0_69),
% 4.02/0.91 inference(component_clause,[status(thm)],[f1037])).
% 4.02/0.91 fof(f1040,plain,(
% 4.02/0.91 sk0_7=false|sk0_7=true|spl0_66),
% 4.02/0.91 inference(resolution,[status(thm)],[f1025,f205])).
% 4.02/0.91 fof(f1041,plain,(
% 4.02/0.91 spl0_68|spl0_69|spl0_66),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1040,f1034,f1037,f1023])).
% 4.02/0.91 fof(f1042,plain,(
% 4.02/0.91 spl0_70 <=> phi(sk0_7)=phi(sk0_7)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1044,plain,(
% 4.02/0.91 ~phi(sk0_7)=phi(sk0_7)|spl0_70),
% 4.02/0.91 inference(component_clause,[status(thm)],[f1042])).
% 4.02/0.91 fof(f1057,plain,(
% 4.02/0.91 $false|spl0_70),
% 4.02/0.91 inference(trivial_equality_resolution,[status(esa)],[f1044])).
% 4.02/0.91 fof(f1058,plain,(
% 4.02/0.91 spl0_70),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f1057])).
% 4.02/0.91 fof(f1063,plain,(
% 4.02/0.91 ~not1(sk0_7)=not2(false)|~spl0_68),
% 4.02/0.91 inference(backward_demodulation,[status(thm)],[f1035,f165])).
% 4.02/0.91 fof(f1064,plain,(
% 4.02/0.91 ~not1(false)=not2(false)|~spl0_68),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f1035,f1063])).
% 4.02/0.91 fof(f1065,plain,(
% 4.02/0.91 ~true=not2(false)|~spl0_68),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f160,f1064])).
% 4.02/0.91 fof(f1066,plain,(
% 4.02/0.91 ~true=true|~spl0_30|~spl0_68),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f525,f1065])).
% 4.02/0.91 fof(f1067,plain,(
% 4.02/0.91 $false|~spl0_30|~spl0_68),
% 4.02/0.91 inference(trivial_equality_resolution,[status(esa)],[f1066])).
% 4.02/0.91 fof(f1068,plain,(
% 4.02/0.91 ~spl0_30|~spl0_68),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f1067])).
% 4.02/0.91 fof(f1069,plain,(
% 4.02/0.91 $false|spl0_14),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f334,f55])).
% 4.02/0.91 fof(f1070,plain,(
% 4.02/0.91 spl0_14),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f1069])).
% 4.02/0.91 fof(f1071,plain,(
% 4.02/0.91 $false|spl0_12),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f324,f56])).
% 4.02/0.91 fof(f1072,plain,(
% 4.02/0.91 spl0_12),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f1071])).
% 4.02/0.91 fof(f1073,plain,(
% 4.02/0.91 $false|spl0_13),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f331,f200])).
% 4.02/0.91 fof(f1074,plain,(
% 4.02/0.91 spl0_13),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f1073])).
% 4.02/0.91 fof(f1075,plain,(
% 4.02/0.91 $false|spl0_11),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f321,f199])).
% 4.02/0.91 fof(f1076,plain,(
% 4.02/0.91 spl0_11),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f1075])).
% 4.02/0.91 fof(f1145,plain,(
% 4.02/0.91 ~not1(true)=not2(sk0_7)|~spl0_69),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f1038,f165])).
% 4.02/0.91 fof(f1146,plain,(
% 4.02/0.91 ~false=not2(sk0_7)|~spl0_69),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f161,f1145])).
% 4.02/0.91 fof(f1147,plain,(
% 4.02/0.91 ~false=not2(true)|~spl0_69),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f1038,f1146])).
% 4.02/0.91 fof(f1148,plain,(
% 4.02/0.91 ~false=false2|~spl0_33|~spl0_69),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f580,f1147])).
% 4.02/0.91 fof(f1149,plain,(
% 4.02/0.91 ~false=false|~spl0_31|~spl0_33|~spl0_69),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f536,f1148])).
% 4.02/0.91 fof(f1150,plain,(
% 4.02/0.91 $false|~spl0_31|~spl0_33|~spl0_69),
% 4.02/0.91 inference(trivial_equality_resolution,[status(esa)],[f1149])).
% 4.02/0.91 fof(f1151,plain,(
% 4.02/0.91 ~spl0_31|~spl0_33|~spl0_69),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f1150])).
% 4.02/0.91 fof(f1154,plain,(
% 4.02/0.91 false2=phi(f7(false))|~spl0_56),
% 4.02/0.91 inference(backward_demodulation,[status(thm)],[f888,f156])).
% 4.02/0.91 fof(f1177,plain,(
% 4.02/0.91 ![X0,X1]: (bool(X0)|impl(X1,X0)=phi(X0)|not1(X1)=phi(X1))),
% 4.02/0.91 inference(resolution,[status(thm)],[f90,f159])).
% 4.02/0.91 fof(f1205,plain,(
% 4.02/0.91 ![X0,X1]: (bool(X0)|and1(X1,X0)=phi(X0)|not1(X1)=phi(X1))),
% 4.02/0.91 inference(resolution,[status(thm)],[f104,f159])).
% 4.02/0.91 fof(f1295,plain,(
% 4.02/0.91 false=true|sk0_7=false|sk0_7=true|~spl0_67),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f412,f1027])).
% 4.02/0.91 fof(f1296,plain,(
% 4.02/0.91 spl0_0|spl0_68|spl0_69|~spl0_67),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1295,f206,f1034,f1037,f1026])).
% 4.02/0.91 fof(f1321,plain,(
% 4.02/0.91 not1(false)=phi(false2)|~spl0_31|~spl0_35),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f536,f554])).
% 4.02/0.91 fof(f1322,plain,(
% 4.02/0.91 true=phi(false2)|~spl0_31|~spl0_35),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f160,f1321])).
% 4.02/0.91 fof(f1323,plain,(
% 4.02/0.91 true=phi(false)|~spl0_31|~spl0_35),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f536,f1322])).
% 4.02/0.91 fof(f1324,plain,(
% 4.02/0.91 true=false|~spl0_31|~spl0_35),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f341,f1323])).
% 4.02/0.91 fof(f1325,plain,(
% 4.02/0.91 $false|~spl0_31|~spl0_35),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f1324,f52])).
% 4.02/0.91 fof(f1326,plain,(
% 4.02/0.91 ~spl0_31|~spl0_35),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f1325])).
% 4.02/0.91 fof(f1516,plain,(
% 4.02/0.91 spl0_79 <=> phi(false2)=phi(false2)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1530,plain,(
% 4.02/0.91 phi(false2)=phi(false2)|false2=false|false2=true|~spl0_35),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f205,f554])).
% 4.02/0.91 fof(f1531,plain,(
% 4.02/0.91 spl0_79|spl0_31|spl0_32|~spl0_35),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1530,f1516,f535,f538,f553])).
% 4.02/0.91 fof(f1553,plain,(
% 4.02/0.91 false=phi(false)|not1(false)=phi(false)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f724,f739])).
% 4.02/0.91 fof(f1554,plain,(
% 4.02/0.91 spl0_16|spl0_6),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1553,f368,f245])).
% 4.02/0.91 fof(f1580,plain,(
% 4.02/0.91 ![X0,X1]: (impl(X0,X1)=phi(X1)|not1(X0)=phi(X0)|prop(X1)=true)),
% 4.02/0.91 inference(resolution,[status(thm)],[f1177,f81])).
% 4.02/0.91 fof(f1586,plain,(
% 4.02/0.91 ![X0,X1]: (and1(X0,X1)=phi(X1)|not1(X0)=phi(X0)|~prop(X1)=false)),
% 4.02/0.91 inference(resolution,[status(thm)],[f1205,f84])).
% 4.02/0.91 fof(f1589,plain,(
% 4.02/0.91 ![X0,X1]: (and1(X0,X1)=phi(X1)|not1(X0)=phi(X0)|impl(false,X1)=true)),
% 4.02/0.91 inference(resolution,[status(thm)],[f1205,f92])).
% 4.02/0.91 fof(f1590,plain,(
% 4.02/0.91 ![X0,X1]: (and1(X0,X1)=phi(X1)|not1(X0)=phi(X0)|impl(true,X1)=X1)),
% 4.02/0.91 inference(resolution,[status(thm)],[f1205,f94])).
% 4.02/0.91 fof(f1591,plain,(
% 4.02/0.91 ![X0,X1]: (and1(X0,X1)=phi(X1)|not1(X0)=phi(X0)|prop(X1)=true)),
% 4.02/0.91 inference(resolution,[status(thm)],[f1205,f81])).
% 4.02/0.91 fof(f1592,plain,(
% 4.02/0.91 ![X0,X1]: (and1(X0,X1)=phi(X1)|not1(X0)=phi(X0)|X1=false|X1=true)),
% 4.02/0.91 inference(resolution,[status(thm)],[f1205,f49])).
% 4.02/0.91 fof(f1601,plain,(
% 4.02/0.91 spl0_82 <=> false=phi(X0)|impl(true,X0)=X0|prop(X0)=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1604,plain,(
% 4.02/0.91 ![X0]: (false=phi(X0)|not1(false)=phi(false)|impl(true,X0)=X0|prop(X0)=false)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f408,f1590])).
% 4.02/0.91 fof(f1605,plain,(
% 4.02/0.91 spl0_82|spl0_6),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1604,f1601,f245])).
% 4.02/0.91 fof(f1606,plain,(
% 4.02/0.91 spl0_83 <=> false=phi(X0)|impl(true,X0)=X0|not1(X0)=phi(X0)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1609,plain,(
% 4.02/0.91 ![X0]: (false=phi(X0)|not1(false)=phi(false)|impl(true,X0)=X0|not1(X0)=phi(X0))),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f288,f1590])).
% 4.02/0.91 fof(f1610,plain,(
% 4.02/0.91 spl0_83|spl0_6),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1609,f1606,f245])).
% 4.02/0.91 fof(f1611,plain,(
% 4.02/0.91 spl0_84 <=> phi(X0)=phi(X0)|impl(true,X0)=X0|impl(true,X0)=X0),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1614,plain,(
% 4.02/0.91 spl0_85 <=> not1(X1)=phi(X1)|not1(X1)=phi(X1)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1615,plain,(
% 4.02/0.91 ![X0]: (not1(X0)=phi(X0)|not1(X0)=phi(X0)|~spl0_85)),
% 4.02/0.91 inference(component_clause,[status(thm)],[f1614])).
% 4.02/0.91 fof(f1617,plain,(
% 4.02/0.91 ![X0,X1]: (phi(X0)=phi(X0)|not1(X1)=phi(X1)|impl(true,X0)=X0|not1(X1)=phi(X1)|impl(true,X0)=X0)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f1590,f1590])).
% 4.02/0.91 fof(f1618,plain,(
% 4.02/0.91 spl0_84|spl0_85),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1617,f1611,f1614])).
% 4.02/0.91 fof(f1631,plain,(
% 4.02/0.91 true=phi(false)|~spl0_6),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f160,f246])).
% 4.02/0.91 fof(f1632,plain,(
% 4.02/0.91 true=false|~spl0_6),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f341,f1631])).
% 4.02/0.91 fof(f1633,plain,(
% 4.02/0.91 $false|~spl0_6),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f1632,f52])).
% 4.02/0.91 fof(f1634,plain,(
% 4.02/0.91 ~spl0_6),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f1633])).
% 4.02/0.91 fof(f1645,plain,(
% 4.02/0.91 spl0_86 <=> false=phi(X0)|X0=false|X0=true|prop(X0)=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1648,plain,(
% 4.02/0.91 ![X0]: (false=phi(X0)|not1(false)=phi(false)|X0=false|X0=true|prop(X0)=false)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f408,f1592])).
% 4.02/0.91 fof(f1649,plain,(
% 4.02/0.91 spl0_86|spl0_6),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1648,f1645,f245])).
% 4.02/0.91 fof(f1650,plain,(
% 4.02/0.91 spl0_87 <=> false=phi(X0)|X0=false|X0=true|not1(X0)=phi(X0)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1653,plain,(
% 4.02/0.91 ![X0]: (false=phi(X0)|not1(false)=phi(false)|X0=false|X0=true|not1(X0)=phi(X0))),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f288,f1592])).
% 4.02/0.91 fof(f1654,plain,(
% 4.02/0.91 spl0_87|spl0_6),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1653,f1650,f245])).
% 4.02/0.91 fof(f1655,plain,(
% 4.02/0.91 spl0_88 <=> phi(X0)=phi(X0)|X0=false|X0=true|X0=false|X0=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1658,plain,(
% 4.02/0.91 ![X0,X1]: (phi(X0)=phi(X0)|not1(X1)=phi(X1)|X0=false|X0=true|not1(X1)=phi(X1)|X0=false|X0=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f1592,f1592])).
% 4.02/0.91 fof(f1659,plain,(
% 4.02/0.91 spl0_88|spl0_85),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1658,f1655,f1614])).
% 4.02/0.91 fof(f1660,plain,(
% 4.02/0.91 spl0_89 <=> phi(X0)=phi(X0)|X0=false|X0=true|impl(true,X0)=X0),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1663,plain,(
% 4.02/0.91 ![X0,X1]: (phi(X0)=phi(X0)|not1(X1)=phi(X1)|X0=false|X0=true|not1(X1)=phi(X1)|impl(true,X0)=X0)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f1590,f1592])).
% 4.02/0.91 fof(f1664,plain,(
% 4.02/0.91 spl0_89|spl0_85),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1663,f1660,f1614])).
% 4.02/0.91 fof(f1679,plain,(
% 4.02/0.91 ![X0]: (not1(X0)=phi(X0)|~spl0_85)),
% 4.02/0.91 inference(duplicate_literals_removal,[status(esa)],[f1615])).
% 4.02/0.91 fof(f1682,plain,(
% 4.02/0.91 phi(false)=true|~spl0_85),
% 4.02/0.91 inference(backward_demodulation,[status(thm)],[f1679,f160])).
% 4.02/0.91 fof(f1683,plain,(
% 4.02/0.91 spl0_4|~spl0_85),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1682,f220,f1614])).
% 4.02/0.91 fof(f1741,plain,(
% 4.02/0.91 spl0_90 <=> or1(true,false)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1744,plain,(
% 4.02/0.91 or1(true,false)=true|true=phi(false)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f160,f299])).
% 4.02/0.91 fof(f1745,plain,(
% 4.02/0.91 spl0_90|spl0_4),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1744,f1741,f220])).
% 4.02/0.91 fof(f1746,plain,(
% 4.02/0.91 spl0_91 <=> or1(true,true)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1749,plain,(
% 4.02/0.91 or1(true,true)=true|false=phi(true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f161,f299])).
% 4.02/0.91 fof(f1750,plain,(
% 4.02/0.91 spl0_91|spl0_2),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1749,f1746,f212])).
% 4.02/0.91 fof(f1755,plain,(
% 4.02/0.91 spl0_92 <=> and1(false,false)=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1758,plain,(
% 4.02/0.91 and1(false,false)=false|true=phi(false)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f160,f288])).
% 4.02/0.91 fof(f1759,plain,(
% 4.02/0.91 spl0_92|spl0_4),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1758,f1755,f220])).
% 4.02/0.91 fof(f1760,plain,(
% 4.02/0.91 spl0_93 <=> and1(false,true)=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1763,plain,(
% 4.02/0.91 and1(false,true)=false|false=phi(true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f161,f288])).
% 4.02/0.91 fof(f1764,plain,(
% 4.02/0.91 spl0_93|spl0_2),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1763,f1760,f212])).
% 4.02/0.91 fof(f1915,plain,(
% 4.02/0.91 spl0_96 <=> false=phi(X0)|prop(X0)=true|prop(X0)=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1918,plain,(
% 4.02/0.91 ![X0]: (false=phi(X0)|not1(false)=phi(false)|prop(X0)=true|prop(X0)=false)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f408,f1591])).
% 4.02/0.91 fof(f1919,plain,(
% 4.02/0.91 spl0_96|spl0_6),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1918,f1915,f245])).
% 4.02/0.91 fof(f1920,plain,(
% 4.02/0.91 spl0_97 <=> phi(X0)=phi(X0)|prop(X0)=true|prop(X0)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1923,plain,(
% 4.02/0.91 ![X0,X1]: (phi(X0)=phi(X0)|not1(X1)=phi(X1)|prop(X0)=true|not1(X1)=phi(X1)|prop(X0)=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f1591,f1591])).
% 4.02/0.91 fof(f1924,plain,(
% 4.02/0.91 spl0_97|spl0_85),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1923,f1920,f1614])).
% 4.02/0.91 fof(f1925,plain,(
% 4.02/0.91 spl0_98 <=> phi(X0)=phi(X0)|prop(X0)=true|impl(true,X0)=X0),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1928,plain,(
% 4.02/0.91 ![X0,X1]: (phi(X0)=phi(X0)|not1(X1)=phi(X1)|prop(X0)=true|not1(X1)=phi(X1)|impl(true,X0)=X0)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f1590,f1591])).
% 4.02/0.91 fof(f1929,plain,(
% 4.02/0.91 spl0_98|spl0_85),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1928,f1925,f1614])).
% 4.02/0.91 fof(f1930,plain,(
% 4.02/0.91 spl0_99 <=> phi(X0)=phi(X0)|prop(X0)=true|X0=false|X0=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1933,plain,(
% 4.02/0.91 ![X0,X1]: (phi(X0)=phi(X0)|not1(X1)=phi(X1)|prop(X0)=true|not1(X1)=phi(X1)|X0=false|X0=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f1592,f1591])).
% 4.02/0.91 fof(f1934,plain,(
% 4.02/0.91 spl0_99|spl0_85),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1933,f1930,f1614])).
% 4.02/0.91 fof(f1957,plain,(
% 4.02/0.91 spl0_100 <=> false=phi(X0)|~prop(X0)=false|prop(X0)=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1960,plain,(
% 4.02/0.91 ![X0]: (false=phi(X0)|not1(false)=phi(false)|~prop(X0)=false|prop(X0)=false)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f408,f1586])).
% 4.02/0.91 fof(f1961,plain,(
% 4.02/0.91 spl0_100|spl0_6),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1960,f1957,f245])).
% 4.02/0.91 fof(f1962,plain,(
% 4.02/0.91 spl0_101 <=> phi(X0)=phi(X0)|~prop(X0)=false|prop(X0)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1965,plain,(
% 4.02/0.91 ![X0,X1]: (phi(X0)=phi(X0)|not1(X1)=phi(X1)|~prop(X0)=false|not1(X1)=phi(X1)|prop(X0)=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f1591,f1586])).
% 4.02/0.91 fof(f1966,plain,(
% 4.02/0.91 spl0_101|spl0_85),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1965,f1962,f1614])).
% 4.02/0.91 fof(f1967,plain,(
% 4.02/0.91 spl0_102 <=> phi(X0)=phi(X0)|~prop(X0)=false|impl(true,X0)=X0),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1970,plain,(
% 4.02/0.91 ![X0,X1]: (phi(X0)=phi(X0)|not1(X1)=phi(X1)|~prop(X0)=false|not1(X1)=phi(X1)|impl(true,X0)=X0)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f1590,f1586])).
% 4.02/0.91 fof(f1971,plain,(
% 4.02/0.91 spl0_102|spl0_85),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1970,f1967,f1614])).
% 4.02/0.91 fof(f1972,plain,(
% 4.02/0.91 spl0_103 <=> phi(X0)=phi(X0)|~prop(X0)=false|X0=false|X0=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1975,plain,(
% 4.02/0.91 ![X0,X1]: (phi(X0)=phi(X0)|not1(X1)=phi(X1)|~prop(X0)=false|not1(X1)=phi(X1)|X0=false|X0=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f1592,f1586])).
% 4.02/0.91 fof(f1976,plain,(
% 4.02/0.91 spl0_103|spl0_85),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1975,f1972,f1614])).
% 4.02/0.91 fof(f1977,plain,(
% 4.02/0.91 spl0_104 <=> true=phi(X0)|prop(X0)=true|prop(X0)=false),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1980,plain,(
% 4.02/0.91 ![X0]: (true=phi(X0)|not1(false)=phi(false)|prop(X0)=true|prop(X0)=false)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f409,f1580])).
% 4.02/0.91 fof(f1981,plain,(
% 4.02/0.91 spl0_104|spl0_6),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1980,f1977,f245])).
% 4.02/0.91 fof(f1982,plain,(
% 4.02/0.91 spl0_105 <=> not2(X0)=phi(false2)|not1(X0)=phi(X0)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f1985,plain,(
% 4.02/0.91 ![X0]: (not2(X0)=phi(false2)|not1(X0)=phi(X0)|prop(false2)=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f162,f1580])).
% 4.02/0.91 fof(f1986,plain,(
% 4.02/0.91 spl0_105|spl0_34),
% 4.02/0.91 inference(split_clause,[status(thm)],[f1985,f1982,f548])).
% 4.02/0.91 fof(f2023,plain,(
% 4.02/0.91 $false|~spl0_63),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f972,f53])).
% 4.02/0.91 fof(f2024,plain,(
% 4.02/0.91 ~spl0_63),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f2023])).
% 4.02/0.91 fof(f2042,plain,(
% 4.02/0.91 true=phi(f7(sk0_6))|~spl0_32),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f539,f156])).
% 4.02/0.91 fof(f2110,plain,(
% 4.02/0.91 spl0_109 <=> phi(f7(sk0_6))=f7(sk0_6)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f2111,plain,(
% 4.02/0.91 phi(f7(sk0_6))=f7(sk0_6)|~spl0_109),
% 4.02/0.91 inference(component_clause,[status(thm)],[f2110])).
% 4.02/0.91 fof(f2113,plain,(
% 4.02/0.91 true=err|phi(f7(sk0_6))=f7(sk0_6)|~spl0_32),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f339,f2042])).
% 4.02/0.91 fof(f2114,plain,(
% 4.02/0.91 spl0_63|spl0_109|~spl0_32),
% 4.02/0.91 inference(split_clause,[status(thm)],[f2113,f971,f2110,f538])).
% 4.02/0.91 fof(f2168,plain,(
% 4.02/0.91 false=phi(true)|~spl0_5),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f161,f239])).
% 4.02/0.91 fof(f2169,plain,(
% 4.02/0.91 false=true|~spl0_5),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f345,f2168])).
% 4.02/0.91 fof(f2170,plain,(
% 4.02/0.91 $false|~spl0_5),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f2169,f52])).
% 4.02/0.91 fof(f2171,plain,(
% 4.02/0.91 ~spl0_5),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f2170])).
% 4.02/0.91 fof(f2249,plain,(
% 4.02/0.91 spl0_112 <=> err=false2),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f2250,plain,(
% 4.02/0.91 err=false2|~spl0_112),
% 4.02/0.91 inference(component_clause,[status(thm)],[f2249])).
% 4.02/0.91 fof(f2300,plain,(
% 4.02/0.91 false2=f7(sk0_6)|~spl0_109),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f156,f2111])).
% 4.02/0.91 fof(f2301,plain,(
% 4.02/0.91 false2=f7(true)|~spl0_57|~spl0_109),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f891,f2300])).
% 4.02/0.91 fof(f2302,plain,(
% 4.02/0.91 false2=true|~spl0_57|~spl0_109),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f727,f2301])).
% 4.02/0.91 fof(f2303,plain,(
% 4.02/0.91 $false|spl0_32|~spl0_57|~spl0_109),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f2302,f540])).
% 4.02/0.91 fof(f2304,plain,(
% 4.02/0.91 spl0_32|~spl0_57|~spl0_109),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f2303])).
% 4.02/0.91 fof(f2317,plain,(
% 4.02/0.91 ![X0]: (not1(X0)=phi(X0)|~spl0_28)),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f495,f394])).
% 4.02/0.91 fof(f2322,plain,(
% 4.02/0.91 phi(false)=true|~spl0_28),
% 4.02/0.91 inference(backward_demodulation,[status(thm)],[f2317,f160])).
% 4.02/0.91 fof(f2323,plain,(
% 4.02/0.91 spl0_4|~spl0_28),
% 4.02/0.91 inference(split_clause,[status(thm)],[f2322,f220,f494])).
% 4.02/0.91 fof(f2336,plain,(
% 4.02/0.91 spl0_114 <=> true=phi(err)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f2337,plain,(
% 4.02/0.91 true=phi(err)|~spl0_114),
% 4.02/0.91 inference(component_clause,[status(thm)],[f2336])).
% 4.02/0.91 fof(f2346,plain,(
% 4.02/0.91 true=err|~spl0_114),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f349,f2337])).
% 4.02/0.91 fof(f2347,plain,(
% 4.02/0.91 $false|~spl0_114),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f2346,f53])).
% 4.02/0.91 fof(f2348,plain,(
% 4.02/0.91 ~spl0_114),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f2347])).
% 4.02/0.91 fof(f2359,plain,(
% 4.02/0.91 spl0_117 <=> false2=phi(true)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f2360,plain,(
% 4.02/0.91 false2=phi(true)|~spl0_117),
% 4.02/0.91 inference(component_clause,[status(thm)],[f2359])).
% 4.02/0.91 fof(f2368,plain,(
% 4.02/0.91 false2=true|~spl0_117),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f345,f2360])).
% 4.02/0.91 fof(f2369,plain,(
% 4.02/0.91 $false|spl0_32|~spl0_117),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f2368,f540])).
% 4.02/0.91 fof(f2370,plain,(
% 4.02/0.91 spl0_32|~spl0_117),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f2369])).
% 4.02/0.91 fof(f2489,plain,(
% 4.02/0.91 spl0_122 <=> phi(X0)=phi(X0)|impl(false,X0)=true|impl(false,X0)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f2492,plain,(
% 4.02/0.91 ![X0,X1]: (phi(X0)=phi(X0)|not1(X1)=phi(X1)|impl(false,X0)=true|not1(X1)=phi(X1)|impl(false,X0)=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f1589,f1589])).
% 4.02/0.91 fof(f2493,plain,(
% 4.02/0.91 spl0_122|spl0_85),
% 4.02/0.91 inference(split_clause,[status(thm)],[f2492,f2489,f1614])).
% 4.02/0.91 fof(f2536,plain,(
% 4.02/0.91 $false|~spl0_64),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f977,f54])).
% 4.02/0.91 fof(f2537,plain,(
% 4.02/0.91 ~spl0_64),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f2536])).
% 4.02/0.91 fof(f2573,plain,(
% 4.02/0.91 false2=err|phi(f7(sk0_6))=f7(sk0_6)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f339,f156])).
% 4.02/0.91 fof(f2574,plain,(
% 4.02/0.91 spl0_112|spl0_109),
% 4.02/0.91 inference(split_clause,[status(thm)],[f2573,f2249,f2110])).
% 4.02/0.91 fof(f2583,plain,(
% 4.02/0.91 ~forallprefers(false,false2)|~spl0_109),
% 4.02/0.91 inference(backward_demodulation,[status(thm)],[f2300,f740])).
% 4.02/0.91 fof(f2643,plain,(
% 4.02/0.91 spl0_125 <=> f7(false2)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f2646,plain,(
% 4.02/0.91 f7(false2)=true|false=true|~spl0_29),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f522,f737])).
% 4.02/0.91 fof(f2647,plain,(
% 4.02/0.91 spl0_125|spl0_0|~spl0_29),
% 4.02/0.91 inference(split_clause,[status(thm)],[f2646,f2643,f206,f521])).
% 4.02/0.91 fof(f2666,plain,(
% 4.02/0.91 spl0_127 <=> prop(X0)=true|f7(X0)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f2669,plain,(
% 4.02/0.91 ![X0]: (true=false|prop(X0)=true|f7(X0)=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f737,f411])).
% 4.02/0.91 fof(f2670,plain,(
% 4.02/0.91 spl0_0|spl0_127),
% 4.02/0.91 inference(split_clause,[status(thm)],[f2669,f206,f2666])).
% 4.02/0.91 fof(f2679,plain,(
% 4.02/0.91 ![X0]: (~false=false|not1(X0)=phi(X0)|prop(X0)=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f411,f394])).
% 4.02/0.91 fof(f2680,plain,(
% 4.02/0.91 ~spl0_3|spl0_21),
% 4.02/0.91 inference(split_clause,[status(thm)],[f2679,f217,f423])).
% 4.02/0.91 fof(f2692,plain,(
% 4.02/0.91 spl0_128 <=> or1(false,X0)=X0|f7(X0)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f2695,plain,(
% 4.02/0.91 ![X0]: (or1(false,X0)=X0|true=false|f7(X0)=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f737,f670])).
% 4.02/0.91 fof(f2696,plain,(
% 4.02/0.91 spl0_128|spl0_0),
% 4.02/0.91 inference(split_clause,[status(thm)],[f2695,f2692,f206])).
% 4.02/0.91 fof(f2707,plain,(
% 4.02/0.91 ![X0]: (~false=false|not1(X0)=phi(X0)|or1(false,X0)=X0)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f670,f394])).
% 4.02/0.91 fof(f2708,plain,(
% 4.02/0.91 ~spl0_3|spl0_48),
% 4.02/0.91 inference(split_clause,[status(thm)],[f2707,f217,f703])).
% 4.02/0.91 fof(f2725,plain,(
% 4.02/0.91 err=phi(f7(sk0_6))|~spl0_112),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f2250,f156])).
% 4.02/0.91 fof(f2752,plain,(
% 4.02/0.91 spl0_129 <=> and1(true,X0)=X0|f7(X0)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f2755,plain,(
% 4.02/0.91 ![X0]: (and1(true,X0)=X0|true=false|f7(X0)=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f737,f623])).
% 4.02/0.91 fof(f2756,plain,(
% 4.02/0.91 spl0_129|spl0_0),
% 4.02/0.91 inference(split_clause,[status(thm)],[f2755,f2752,f206])).
% 4.02/0.91 fof(f2767,plain,(
% 4.02/0.91 ![X0]: (~false=false|not1(X0)=phi(X0)|and1(true,X0)=X0)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f623,f394])).
% 4.02/0.91 fof(f2768,plain,(
% 4.02/0.91 ~spl0_3|spl0_41),
% 4.02/0.91 inference(split_clause,[status(thm)],[f2767,f217,f651])).
% 4.02/0.91 fof(f2796,plain,(
% 4.02/0.91 spl0_130 <=> X0=false|X0=true|f7(X0)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f2799,plain,(
% 4.02/0.91 ![X0]: (true=false|X0=false|X0=true|f7(X0)=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f737,f412])).
% 4.02/0.91 fof(f2800,plain,(
% 4.02/0.91 spl0_0|spl0_130),
% 4.02/0.91 inference(split_clause,[status(thm)],[f2799,f206,f2796])).
% 4.02/0.91 fof(f2813,plain,(
% 4.02/0.91 ![X0]: (~false=false|not1(X0)=phi(X0)|X0=false|X0=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f412,f394])).
% 4.02/0.91 fof(f2814,plain,(
% 4.02/0.91 ~spl0_3|spl0_27),
% 4.02/0.91 inference(split_clause,[status(thm)],[f2813,f217,f475])).
% 4.02/0.91 fof(f2848,plain,(
% 4.02/0.91 spl0_131 <=> impl(true,X0)=X0|f7(X0)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f2851,plain,(
% 4.02/0.91 ![X0]: (true=false|impl(true,X0)=X0|f7(X0)=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f737,f410])).
% 4.02/0.91 fof(f2852,plain,(
% 4.02/0.91 spl0_0|spl0_131),
% 4.02/0.91 inference(split_clause,[status(thm)],[f2851,f206,f2848])).
% 4.02/0.91 fof(f2867,plain,(
% 4.02/0.91 ![X0]: (~false=false|not1(X0)=phi(X0)|impl(true,X0)=X0)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f410,f394])).
% 4.02/0.91 fof(f2868,plain,(
% 4.02/0.91 ~spl0_3|spl0_24),
% 4.02/0.91 inference(split_clause,[status(thm)],[f2867,f217,f448])).
% 4.02/0.91 fof(f2938,plain,(
% 4.02/0.91 spl0_133 <=> prop(X0)=false|phi(X0)=false|impl(false,X0)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f2941,plain,(
% 4.02/0.91 ![X0]: (prop(X0)=false|phi(X0)=false|not1(false)=phi(false)|impl(false,X0)=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f1589,f408])).
% 4.02/0.91 fof(f2942,plain,(
% 4.02/0.91 spl0_133|spl0_6),
% 4.02/0.91 inference(split_clause,[status(thm)],[f2941,f2938,f245])).
% 4.02/0.91 fof(f3372,plain,(
% 4.02/0.91 spl0_136 <=> and1(false,X0)=phi(X0)|X0=false|X0=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f3373,plain,(
% 4.02/0.91 ![X0]: (and1(false,X0)=phi(X0)|X0=false|X0=true|~spl0_136)),
% 4.02/0.91 inference(component_clause,[status(thm)],[f3372])).
% 4.02/0.91 fof(f3375,plain,(
% 4.02/0.91 ![X0]: (and1(false,X0)=phi(X0)|true=phi(false)|X0=false|X0=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f160,f1592])).
% 4.02/0.91 fof(f3376,plain,(
% 4.02/0.91 spl0_136|spl0_4),
% 4.02/0.91 inference(split_clause,[status(thm)],[f3375,f3372,f220])).
% 4.02/0.91 fof(f3377,plain,(
% 4.02/0.91 spl0_137 <=> and1(true,X0)=phi(X0)|X0=false|X0=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f3380,plain,(
% 4.02/0.91 ![X0]: (and1(true,X0)=phi(X0)|false=phi(true)|X0=false|X0=true)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f161,f1592])).
% 4.02/0.91 fof(f3381,plain,(
% 4.02/0.91 spl0_137|spl0_2),
% 4.02/0.91 inference(split_clause,[status(thm)],[f3380,f3377,f212])).
% 4.02/0.91 fof(f3406,plain,(
% 4.02/0.91 spl0_139 <=> phi(X0)=phi(X0)|X0=false|X0=true|impl(false,X0)=true),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f3409,plain,(
% 4.02/0.91 ![X0]: (phi(X0)=phi(X0)|X0=false|X0=true|not1(false)=phi(false)|impl(false,X0)=true|~spl0_136)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f1589,f3373])).
% 4.02/0.91 fof(f3410,plain,(
% 4.02/0.91 spl0_139|spl0_6|~spl0_136),
% 4.02/0.91 inference(split_clause,[status(thm)],[f3409,f3406,f245,f3372])).
% 4.02/0.91 fof(f3463,plain,(
% 4.02/0.91 spl0_141 <=> and1(false,X0)=phi(X0)|impl(true,X0)=X0),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f3466,plain,(
% 4.02/0.91 ![X0]: (and1(false,X0)=phi(X0)|true=phi(false)|impl(true,X0)=X0)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f160,f1590])).
% 4.02/0.91 fof(f3467,plain,(
% 4.02/0.91 spl0_141|spl0_4),
% 4.02/0.91 inference(split_clause,[status(thm)],[f3466,f3463,f220])).
% 4.02/0.91 fof(f3468,plain,(
% 4.02/0.91 spl0_142 <=> and1(true,X0)=phi(X0)|impl(true,X0)=X0),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f3471,plain,(
% 4.02/0.91 ![X0]: (and1(true,X0)=phi(X0)|false=phi(true)|impl(true,X0)=X0)),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f161,f1590])).
% 4.02/0.91 fof(f3472,plain,(
% 4.02/0.91 spl0_142|spl0_2),
% 4.02/0.91 inference(split_clause,[status(thm)],[f3471,f3468,f212])).
% 4.02/0.91 fof(f3480,plain,(
% 4.02/0.91 spl0_143 <=> err=phi(true)),
% 4.02/0.91 introduced(split_symbol_definition)).
% 4.02/0.91 fof(f3481,plain,(
% 4.02/0.91 err=phi(true)|~spl0_143),
% 4.02/0.91 inference(component_clause,[status(thm)],[f3480])).
% 4.02/0.91 fof(f3485,plain,(
% 4.02/0.91 err=phi(true)|sk0_6=false|sk0_6=true|~spl0_112),
% 4.02/0.91 inference(paramodulation,[status(thm)],[f733,f2725])).
% 4.02/0.91 fof(f3486,plain,(
% 4.02/0.91 spl0_143|spl0_56|spl0_57|~spl0_112),
% 4.02/0.91 inference(split_clause,[status(thm)],[f3485,f3480,f887,f890,f2249])).
% 4.02/0.91 fof(f3493,plain,(
% 4.02/0.91 err=true|~spl0_143),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f345,f3481])).
% 4.02/0.91 fof(f3494,plain,(
% 4.02/0.91 $false|~spl0_143),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f3493,f53])).
% 4.02/0.91 fof(f3495,plain,(
% 4.02/0.91 ~spl0_143),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f3494])).
% 4.02/0.91 fof(f3507,plain,(
% 4.02/0.91 false2=phi(f7(true))|~spl0_57),
% 4.02/0.91 inference(backward_demodulation,[status(thm)],[f891,f156])).
% 4.02/0.91 fof(f3508,plain,(
% 4.02/0.91 err=phi(f7(true))|~spl0_112|~spl0_57),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f2250,f3507])).
% 4.02/0.91 fof(f3509,plain,(
% 4.02/0.91 err=phi(true)|~spl0_112|~spl0_57),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f727,f3508])).
% 4.02/0.91 fof(f3510,plain,(
% 4.02/0.91 err=true|~spl0_112|~spl0_57),
% 4.02/0.91 inference(forward_demodulation,[status(thm)],[f345,f3509])).
% 4.02/0.91 fof(f3511,plain,(
% 4.02/0.91 $false|~spl0_112|~spl0_57),
% 4.02/0.91 inference(forward_subsumption_resolution,[status(thm)],[f3510,f53])).
% 4.02/0.91 fof(f3512,plain,(
% 4.02/0.91 ~spl0_112|~spl0_57),
% 4.02/0.91 inference(contradiction_clause,[status(thm)],[f3511])).
% 4.02/0.91 fof(f3521,plain,(
% 4.02/0.91 false2=phi(false)|~spl0_56),
% 4.02/0.93 inference(forward_demodulation,[status(thm)],[f724,f1154])).
% 4.02/0.93 fof(f3522,plain,(
% 4.02/0.93 false2=false|~spl0_56),
% 4.02/0.93 inference(forward_demodulation,[status(thm)],[f341,f3521])).
% 4.02/0.93 fof(f3525,plain,(
% 4.02/0.93 prop(false)=false|~spl0_56|~spl0_29),
% 4.02/0.93 inference(forward_demodulation,[status(thm)],[f3522,f522])).
% 4.02/0.93 fof(f3526,plain,(
% 4.02/0.93 true=false|~spl0_56|~spl0_29),
% 4.02/0.93 inference(forward_demodulation,[status(thm)],[f236,f3525])).
% 4.02/0.93 fof(f3527,plain,(
% 4.02/0.93 $false|~spl0_56|~spl0_29),
% 4.02/0.93 inference(forward_subsumption_resolution,[status(thm)],[f3526,f52])).
% 4.02/0.93 fof(f3528,plain,(
% 4.02/0.93 ~spl0_56|~spl0_29),
% 4.02/0.93 inference(contradiction_clause,[status(thm)],[f3527])).
% 4.02/0.93 fof(f3589,plain,(
% 4.02/0.93 false2=true|sk0_6=false|sk0_6=true|~spl0_109),
% 4.02/0.93 inference(paramodulation,[status(thm)],[f733,f2300])).
% 4.02/0.93 fof(f3590,plain,(
% 4.02/0.93 spl0_32|spl0_56|spl0_57|~spl0_109),
% 4.02/0.93 inference(split_clause,[status(thm)],[f3589,f538,f887,f890,f2110])).
% 4.02/0.93 fof(f3649,plain,(
% 4.02/0.93 ~forallprefers(false,true)|~spl0_32|~spl0_109),
% 4.02/0.93 inference(backward_demodulation,[status(thm)],[f539,f2583])).
% 4.02/0.93 fof(f3650,plain,(
% 4.02/0.93 $false|~spl0_32|~spl0_109),
% 4.02/0.93 inference(forward_subsumption_resolution,[status(thm)],[f3649,f201])).
% 4.02/0.93 fof(f3651,plain,(
% 4.02/0.93 ~spl0_32|~spl0_109),
% 4.02/0.93 inference(contradiction_clause,[status(thm)],[f3650])).
% 4.02/0.93 fof(f3652,plain,(
% 4.02/0.93 $false),
% 4.02/0.93 inference(sat_refutation,[status(thm)],[f230,f232,f234,f276,f281,f344,f348,f399,f404,f417,f422,f440,f442,f557,f567,f574,f583,f594,f630,f635,f677,f682,f896,f975,f1030,f1041,f1058,f1068,f1070,f1072,f1074,f1076,f1151,f1296,f1326,f1531,f1554,f1605,f1610,f1618,f1634,f1649,f1654,f1659,f1664,f1683,f1745,f1750,f1759,f1764,f1919,f1924,f1929,f1934,f1961,f1966,f1971,f1976,f1981,f1986,f2024,f2114,f2171,f2304,f2323,f2348,f2370,f2493,f2537,f2574,f2647,f2670,f2680,f2696,f2708,f2756,f2768,f2800,f2814,f2852,f2868,f2942,f3376,f3381,f3410,f3467,f3472,f3486,f3495,f3512,f3528,f3590,f3651])).
% 4.02/0.93 % SZS output end CNFRefutation for theBenchmark.p
% 4.02/0.95 % Elapsed time: 0.625817 seconds
% 4.02/0.95 % CPU time: 4.180523 seconds
% 4.02/0.95 % Memory used: 107.068 MB
%------------------------------------------------------------------------------