%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW102+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:08:45 PM UTC 2026
% Result : Theorem 1.33s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW102+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n011.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 09:39:10 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 1.33/0.60 % Refutation found
% 1.33/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.33/0.60 % SZS output start CNFRefutation for theBenchmark
% 1.33/0.60 fof(f1,axiom,(
% 1.33/0.60 (! [X] :( bool(X)<=> ( X = false| X = true ) ) )),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f2,axiom,(
% 1.33/0.60 ( true != false& true != err& false != err ) ),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f3,axiom,(
% 1.33/0.60 ( d(true)& d(false)& d(err) ) ),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f4,axiom,(
% 1.33/0.60 (! [X,Y] :( forallprefers(X,Y)<=> ( ( ~ d(X)& d(Y) )| ( d(X)& d(Y)& ~ bool(X)& bool(Y) )| ( X = false& Y = true ) ) ) )),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f6,axiom,(
% 1.33/0.60 (! [X] :( ( d(X)& phi(X) = X )| ( ~ d(X)& phi(X) = err ) ) )),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f7,axiom,(
% 1.33/0.60 (! [X] :( prop(X) = true<=> bool(X) ) )),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f8,axiom,(
% 1.33/0.60 (! [X] :( prop(X) = false<=> ~ bool(X) ) )),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f9,axiom,(
% 1.33/0.60 (! [A,B] :( ~ bool(A)=> impl(A,B) = phi(A) ) )),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f10,axiom,(
% 1.33/0.60 (! [A,B] :( ( bool(A)& ~ bool(B) )=> impl(A,B) = phi(B) ) )),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f11,axiom,(
% 1.33/0.60 (! [B] :( bool(B)=> impl(false,B) = true ) )),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f12,axiom,(
% 1.33/0.60 (! [B] :( bool(B)=> impl(true,B) = B ) )),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f14,axiom,(
% 1.33/0.60 (! [B] : lazy_impl(false,B) = true )),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f15,axiom,(
% 1.33/0.60 (! [B] : lazy_impl(true,B) = phi(B) )),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f39,axiom,(
% 1.33/0.60 (! [P] : f7(P) = lazy_impl(prop(P),P) )),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f40,axiom,(
% 1.33/0.60 (? [P] :( false2 = phi(f7(P))& ~ (? [P1] : forallprefers(f7(P1),f7(P)) )) )),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f41,axiom,(
% 1.33/0.60 (! [A] :( ~ bool(A)=> not1(A) = phi(A) ) )),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f42,axiom,(
% 1.33/0.60 not1(false) = true ),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f43,axiom,(
% 1.33/0.60 not1(true) = false ),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f44,axiom,(
% 1.33/0.60 (! [P] : not2(P) = impl(P,false2) )),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f45,conjecture,(
% 1.33/0.60 (! [P] : not1(P) = not2(P) )),
% 1.33/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.60 fof(f46,negated_conjecture,(
% 1.33/0.60 ~((! [P] : not1(P) = not2(P) ))),
% 1.33/0.60 inference(negated_conjecture,[status(cth)],[f45])).
% 1.33/0.60 fof(f47,plain,(
% 1.33/0.60 ![X]: ((~bool(X)|(X=false|X=true))&(bool(X)|(~X=false&~X=true)))),
% 1.33/0.60 inference(NNF_transformation,[status(thm)],[f1])).
% 1.33/0.60 fof(f48,plain,(
% 1.33/0.60 (![X]: (~bool(X)|(X=false|X=true)))&(![X]: (bool(X)|(~X=false&~X=true)))),
% 1.33/0.60 inference(miniscoping,[status(thm)],[f47])).
% 1.33/0.60 fof(f49,plain,(
% 1.33/0.60 ![X0]: (~bool(X0)|X0=false|X0=true)),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f48])).
% 1.33/0.60 fof(f50,plain,(
% 1.33/0.60 ![X0]: (bool(X0)|~X0=false)),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f48])).
% 1.33/0.60 fof(f51,plain,(
% 1.33/0.60 ![X0]: (bool(X0)|~X0=true)),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f48])).
% 1.33/0.60 fof(f52,plain,(
% 1.33/0.60 ~true=false),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f2])).
% 1.33/0.60 fof(f55,plain,(
% 1.33/0.60 d(true)),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f3])).
% 1.33/0.60 fof(f56,plain,(
% 1.33/0.60 d(false)),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f3])).
% 1.33/0.60 fof(f58,definition,(
% 1.33/0.60 ![X,Y]: (sP0_prd(Y,X)<=>((~d(X)&d(Y))|(((d(X)&d(Y))&~bool(X))&bool(Y))))),
% 1.33/0.60 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 1.33/0.60 fof(f59,plain,(
% 1.33/0.60 ![X,Y]: (forallprefers(X,Y)<=>(sP0_prd(Y,X)|(X=false&Y=true)))),
% 1.33/0.60 inference(formula_renaming,[status(thm)],[f4,f58])).
% 1.33/0.60 fof(f60,plain,(
% 1.33/0.60 ![X,Y]: ((~forallprefers(X,Y)|(sP0_prd(Y,X)|(X=false&Y=true)))&(forallprefers(X,Y)|(~sP0_prd(Y,X)&(~X=false|~Y=true))))),
% 1.33/0.60 inference(NNF_transformation,[status(thm)],[f59])).
% 1.33/0.60 fof(f61,plain,(
% 1.33/0.60 (![X,Y]: (~forallprefers(X,Y)|(sP0_prd(Y,X)|(X=false&Y=true))))&(![X,Y]: (forallprefers(X,Y)|(~sP0_prd(Y,X)&(~X=false|~Y=true))))),
% 1.33/0.60 inference(miniscoping,[status(thm)],[f60])).
% 1.33/0.60 fof(f65,plain,(
% 1.33/0.60 ![X0,X1]: (forallprefers(X0,X1)|~X0=false|~X1=true)),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f61])).
% 1.33/0.60 fof(f74,definition,(
% 1.33/0.60 ![X]: (sP2_prd(X)<=>(d(X)&phi(X)=X))),
% 1.33/0.60 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 1.33/0.60 fof(f75,plain,(
% 1.33/0.60 ![X]: (sP2_prd(X)|(~d(X)&phi(X)=err))),
% 1.33/0.60 inference(formula_renaming,[status(thm)],[f6,f74])).
% 1.33/0.60 fof(f76,plain,(
% 1.33/0.60 ![X0]: (sP2_prd(X0)|~d(X0))),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f75])).
% 1.33/0.60 fof(f77,plain,(
% 1.33/0.60 ![X0]: (sP2_prd(X0)|phi(X0)=err)),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f75])).
% 1.33/0.60 fof(f78,plain,(
% 1.33/0.60 ![X]: ((~prop(X)=true|bool(X))&(prop(X)=true|~bool(X)))),
% 1.33/0.60 inference(NNF_transformation,[status(thm)],[f7])).
% 1.33/0.60 fof(f79,plain,(
% 1.33/0.60 (![X]: (~prop(X)=true|bool(X)))&(![X]: (prop(X)=true|~bool(X)))),
% 1.33/0.60 inference(miniscoping,[status(thm)],[f78])).
% 1.33/0.60 fof(f81,plain,(
% 1.33/0.60 ![X0]: (prop(X0)=true|~bool(X0))),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f79])).
% 1.33/0.60 fof(f82,plain,(
% 1.33/0.60 ![X]: ((~prop(X)=false|~bool(X))&(prop(X)=false|bool(X)))),
% 1.33/0.60 inference(NNF_transformation,[status(thm)],[f8])).
% 1.33/0.60 fof(f83,plain,(
% 1.33/0.60 (![X]: (~prop(X)=false|~bool(X)))&(![X]: (prop(X)=false|bool(X)))),
% 1.33/0.60 inference(miniscoping,[status(thm)],[f82])).
% 1.33/0.60 fof(f85,plain,(
% 1.33/0.60 ![X0]: (prop(X0)=false|bool(X0))),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f83])).
% 1.33/0.60 fof(f86,plain,(
% 1.33/0.60 ![A,B]: (bool(A)|impl(A,B)=phi(A))),
% 1.33/0.60 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 1.33/0.60 fof(f87,plain,(
% 1.33/0.60 ![A]: (bool(A)|(![B]: impl(A,B)=phi(A)))),
% 1.33/0.60 inference(miniscoping,[status(thm)],[f86])).
% 1.33/0.60 fof(f88,plain,(
% 1.33/0.60 ![X0,X1]: (bool(X0)|impl(X0,X1)=phi(X0))),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f87])).
% 1.33/0.60 fof(f89,plain,(
% 1.33/0.60 ![A,B]: ((~bool(A)|bool(B))|impl(A,B)=phi(B))),
% 1.33/0.60 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 1.33/0.60 fof(f90,plain,(
% 1.33/0.60 ![X0,X1]: (~bool(X0)|bool(X1)|impl(X0,X1)=phi(X1))),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f89])).
% 1.33/0.60 fof(f91,plain,(
% 1.33/0.60 ![B]: (~bool(B)|impl(false,B)=true)),
% 1.33/0.60 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 1.33/0.60 fof(f92,plain,(
% 1.33/0.60 ![X0]: (~bool(X0)|impl(false,X0)=true)),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f91])).
% 1.33/0.60 fof(f93,plain,(
% 1.33/0.60 ![B]: (~bool(B)|impl(true,B)=B)),
% 1.33/0.60 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 1.33/0.60 fof(f94,plain,(
% 1.33/0.60 ![X0]: (~bool(X0)|impl(true,X0)=X0)),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f93])).
% 1.33/0.60 fof(f98,plain,(
% 1.33/0.60 ![X0]: (lazy_impl(false,X0)=true)),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f14])).
% 1.33/0.60 fof(f99,plain,(
% 1.33/0.60 ![X0]: (lazy_impl(true,X0)=phi(X0))),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f15])).
% 1.33/0.60 fof(f153,plain,(
% 1.33/0.60 ![X0]: (f7(X0)=lazy_impl(prop(X0),X0))),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f39])).
% 1.33/0.60 fof(f154,plain,(
% 1.33/0.60 ?[P]: (false2=phi(f7(P))&(![P1]: ~forallprefers(f7(P1),f7(P))))),
% 1.33/0.60 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 1.33/0.60 fof(f155,plain,(
% 1.33/0.60 (false2=phi(f7(sK6_skl))&(![P1]: ~forallprefers(f7(P1),f7(sK6_skl))))),
% 1.33/0.60 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(P,sK6_skl)],[f154])).
% 1.33/0.60 fof(f156,plain,(
% 1.33/0.60 false2=phi(f7(sK6_skl))),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f155])).
% 1.33/0.60 fof(f157,plain,(
% 1.33/0.60 ![X0]: (~forallprefers(f7(X0),f7(sK6_skl)))),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f155])).
% 1.33/0.60 fof(f158,plain,(
% 1.33/0.60 ![A]: (bool(A)|not1(A)=phi(A))),
% 1.33/0.60 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 1.33/0.60 fof(f159,plain,(
% 1.33/0.60 ![X0]: (bool(X0)|not1(X0)=phi(X0))),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f158])).
% 1.33/0.60 fof(f160,plain,(
% 1.33/0.60 not1(false)=true),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f42])).
% 1.33/0.60 fof(f161,plain,(
% 1.33/0.60 not1(true)=false),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f43])).
% 1.33/0.60 fof(f162,plain,(
% 1.33/0.60 ![X0]: (not2(X0)=impl(X0,false2))),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f44])).
% 1.33/0.60 fof(f163,plain,(
% 1.33/0.60 (?[P]: ~not1(P)=not2(P))),
% 1.33/0.60 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 1.33/0.60 fof(f164,plain,(
% 1.33/0.60 ~not1(sK7_skl)=not2(sK7_skl)),
% 1.33/0.60 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(P,sK7_skl)],[f163])).
% 1.33/0.60 fof(f165,plain,(
% 1.33/0.60 ~not1(sK7_skl)=not2(sK7_skl)),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f164])).
% 1.33/0.60 fof(f186,plain,(
% 1.33/0.60 ![X]: ((~sP2_prd(X)|(d(X)&phi(X)=X))&(sP2_prd(X)|(~d(X)|~phi(X)=X)))),
% 1.33/0.60 inference(NNF_transformation,[status(thm)],[f74])).
% 1.33/0.60 fof(f187,plain,(
% 1.33/0.60 (![X]: (~sP2_prd(X)|(d(X)&phi(X)=X)))&(![X]: (sP2_prd(X)|(~d(X)|~phi(X)=X)))),
% 1.33/0.60 inference(miniscoping,[status(thm)],[f186])).
% 1.33/0.60 fof(f189,plain,(
% 1.33/0.60 ![X0]: (~sP2_prd(X0)|phi(X0)=X0)),
% 1.33/0.60 inference(cnf_transformation,[status(thm)],[f187])).
% 1.33/0.60 fof(f207,plain,(
% 1.33/0.60 bool(not1(true))),
% 1.33/0.60 inference(resolution,[status(thm)],[f50,f161])).
% 1.33/0.60 fof(f210,plain,(
% 1.33/0.60 bool(false)),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f161,f207])).
% 1.33/0.60 fof(f212,plain,(
% 1.33/0.60 bool(not1(false))),
% 1.33/0.60 inference(resolution,[status(thm)],[f51,f160])).
% 1.33/0.60 fof(f214,plain,(
% 1.33/0.60 bool(true)),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f160,f212])).
% 1.33/0.60 fof(f217,plain,(
% 1.33/0.60 sP2_prd(false)),
% 1.33/0.60 inference(resolution,[status(thm)],[f76,f56])).
% 1.33/0.60 fof(f218,plain,(
% 1.33/0.60 sP2_prd(true)),
% 1.33/0.60 inference(resolution,[status(thm)],[f76,f55])).
% 1.33/0.60 fof(f226,plain,(
% 1.33/0.60 phi(true)=true),
% 1.33/0.60 inference(resolution,[status(thm)],[f189,f218])).
% 1.33/0.60 fof(f227,plain,(
% 1.33/0.60 phi(false)=false),
% 1.33/0.60 inference(resolution,[status(thm)],[f189,f217])).
% 1.33/0.60 fof(f236,plain,(
% 1.33/0.60 ![X0]: (forallprefers(not1(true),X0)|~X0=true)),
% 1.33/0.60 inference(resolution,[status(thm)],[f65,f161])).
% 1.33/0.60 fof(f241,plain,(
% 1.33/0.60 ![X0]: (forallprefers(false,X0)|~X0=true)),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f161,f236])).
% 1.33/0.60 fof(f242,plain,(
% 1.33/0.60 forallprefers(false,phi(true))),
% 1.33/0.60 inference(resolution,[status(thm)],[f241,f226])).
% 1.33/0.60 fof(f246,plain,(
% 1.33/0.60 forallprefers(false,true)),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f226,f242])).
% 1.33/0.60 fof(f251,plain,(
% 1.33/0.60 ![X0]: (phi(X0)=err|phi(X0)=X0)),
% 1.33/0.60 inference(resolution,[status(thm)],[f77,f189])).
% 1.33/0.60 fof(f253,plain,(
% 1.33/0.60 prop(true)=true),
% 1.33/0.60 inference(resolution,[status(thm)],[f81,f214])).
% 1.33/0.60 fof(f254,plain,(
% 1.33/0.60 prop(false)=true),
% 1.33/0.60 inference(resolution,[status(thm)],[f81,f210])).
% 1.33/0.60 fof(f255,plain,(
% 1.33/0.60 ![X0]: (prop(X0)=true|not1(X0)=phi(X0))),
% 1.33/0.60 inference(resolution,[status(thm)],[f81,f159])).
% 1.33/0.60 fof(f289,plain,(
% 1.33/0.60 ![X0]: (prop(X0)=false|X0=false|X0=true)),
% 1.33/0.60 inference(resolution,[status(thm)],[f85,f49])).
% 1.33/0.60 fof(f325,plain,(
% 1.33/0.60 ![X0,X1]: (impl(X0,X1)=phi(X0)|prop(X0)=true)),
% 1.33/0.60 inference(resolution,[status(thm)],[f88,f81])).
% 1.33/0.60 fof(f327,plain,(
% 1.33/0.60 ![X0]: (bool(X0)|impl(true,X0)=phi(X0))),
% 1.33/0.60 inference(resolution,[status(thm)],[f90,f214])).
% 1.33/0.60 fof(f336,plain,(
% 1.33/0.60 ![X0]: (impl(false,X0)=true|not1(X0)=phi(X0))),
% 1.33/0.60 inference(resolution,[status(thm)],[f92,f159])).
% 1.33/0.60 fof(f357,plain,(
% 1.33/0.60 ![X0]: (impl(true,X0)=phi(X0)|impl(true,X0)=X0)),
% 1.33/0.60 inference(resolution,[status(thm)],[f327,f94])).
% 1.33/0.60 fof(f408,plain,(
% 1.33/0.60 not2(false)=true|not1(false2)=phi(false2)),
% 1.33/0.60 inference(paramodulation,[status(thm)],[f162,f336])).
% 1.33/0.60 fof(f458,plain,(
% 1.33/0.60 not2(true)=phi(false2)|impl(true,false2)=false2),
% 1.33/0.60 inference(paramodulation,[status(thm)],[f162,f357])).
% 1.33/0.60 fof(f465,plain,(
% 1.33/0.60 not2(true)=phi(false2)|not2(true)=false2),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f162,f458])).
% 1.33/0.60 fof(f573,plain,(
% 1.33/0.60 f7(false)=lazy_impl(true,false)),
% 1.33/0.60 inference(paramodulation,[status(thm)],[f254,f153])).
% 1.33/0.60 fof(f574,plain,(
% 1.33/0.60 f7(true)=lazy_impl(true,true)),
% 1.33/0.60 inference(paramodulation,[status(thm)],[f253,f153])).
% 1.33/0.60 fof(f575,plain,(
% 1.33/0.60 f7(false)=phi(false)),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f99,f573])).
% 1.33/0.60 fof(f576,plain,(
% 1.33/0.60 f7(false)=false),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f227,f575])).
% 1.33/0.60 fof(f577,plain,(
% 1.33/0.60 f7(true)=phi(true)),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f99,f574])).
% 1.33/0.60 fof(f578,plain,(
% 1.33/0.60 f7(true)=true),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f226,f577])).
% 1.33/0.60 fof(f592,plain,(
% 1.33/0.60 ~forallprefers(false,f7(sK6_skl))),
% 1.33/0.60 inference(paramodulation,[status(thm)],[f576,f157])).
% 1.33/0.60 fof(f602,plain,(
% 1.33/0.60 false2=err|phi(f7(sK6_skl))=f7(sK6_skl)),
% 1.33/0.60 inference(paramodulation,[status(thm)],[f156,f251])).
% 1.33/0.60 fof(f611,plain,(
% 1.33/0.60 ![X0]: (~err=X0|phi(X0)=X0)),
% 1.33/0.60 inference(equality_factoring,[status(thm)],[f251])).
% 1.33/0.60 fof(f624,plain,(
% 1.33/0.60 false2=err|false2=f7(sK6_skl)),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f156,f602])).
% 1.33/0.60 fof(f1136,plain,(
% 1.33/0.60 ~phi(false2)=false2|not2(true)=false2),
% 1.33/0.60 inference(equality_factoring,[status(thm)],[f465])).
% 1.33/0.60 fof(f1486,plain,(
% 1.33/0.60 false2=phi(false2)|false2=err),
% 1.33/0.60 inference(paramodulation,[status(thm)],[f624,f156])).
% 1.33/0.60 fof(f1488,plain,(
% 1.33/0.60 false2=phi(false2)),
% 1.33/0.60 inference(forward_subsumption_resolution,[status(thm)],[f1486,f611])).
% 1.33/0.60 fof(f1490,plain,(
% 1.33/0.60 ~false2=false2|not2(true)=false2),
% 1.33/0.60 inference(backward_demodulation,[status(thm)],[f1488,f1136])).
% 1.33/0.60 fof(f1495,plain,(
% 1.33/0.60 not2(false)=true|not1(false2)=false2),
% 1.33/0.60 inference(backward_demodulation,[status(thm)],[f1488,f408])).
% 1.33/0.60 fof(f1503,plain,(
% 1.33/0.60 not2(true)=false2),
% 1.33/0.60 inference(trivial_equality_resolution,[status(thm)],[f1490])).
% 1.33/0.60 fof(f1872,plain,(
% 1.33/0.60 ![X0]: (f7(X0)=lazy_impl(false,X0)|X0=false|X0=true)),
% 1.33/0.60 inference(paramodulation,[status(thm)],[f289,f153])).
% 1.33/0.60 fof(f1890,plain,(
% 1.33/0.60 ![X0]: (f7(X0)=true|X0=false|X0=true)),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f98,f1872])).
% 1.33/0.60 fof(f2460,plain,(
% 1.33/0.60 ~forallprefers(false,true)|sK6_skl=false|sK6_skl=true),
% 1.33/0.60 inference(paramodulation,[status(thm)],[f1890,f592])).
% 1.33/0.60 fof(f2467,plain,(
% 1.33/0.60 sK6_skl=false|sK6_skl=true),
% 1.33/0.60 inference(forward_subsumption_resolution,[status(thm)],[f2460,f246])).
% 1.33/0.60 fof(f2474,plain,(
% 1.33/0.60 ~forallprefers(false,f7(true))|sK6_skl=false),
% 1.33/0.60 inference(paramodulation,[status(thm)],[f2467,f592])).
% 1.33/0.60 fof(f2482,plain,(
% 1.33/0.60 ~forallprefers(false,true)|sK6_skl=false),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f578,f2474])).
% 1.33/0.60 fof(f2483,plain,(
% 1.33/0.60 sK6_skl=false),
% 1.33/0.60 inference(forward_subsumption_resolution,[status(thm)],[f2482,f246])).
% 1.33/0.60 fof(f2508,plain,(
% 1.33/0.60 false2=phi(f7(false))),
% 1.33/0.60 inference(backward_demodulation,[status(thm)],[f2483,f156])).
% 1.33/0.60 fof(f2517,plain,(
% 1.33/0.60 false2=phi(false)),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f576,f2508])).
% 1.33/0.60 fof(f2518,plain,(
% 1.33/0.60 false2=false),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f227,f2517])).
% 1.33/0.60 fof(f2527,plain,(
% 1.33/0.60 not2(false)=true|not1(false2)=false),
% 1.33/0.60 inference(backward_demodulation,[status(thm)],[f2518,f1495])).
% 1.33/0.60 fof(f2532,plain,(
% 1.33/0.60 not2(true)=false),
% 1.33/0.60 inference(backward_demodulation,[status(thm)],[f2518,f1503])).
% 1.33/0.60 fof(f2536,plain,(
% 1.33/0.60 ![X0]: (not2(X0)=impl(X0,false))),
% 1.33/0.60 inference(backward_demodulation,[status(thm)],[f2518,f162])).
% 1.33/0.60 fof(f2552,plain,(
% 1.33/0.60 not2(false)=true|not1(false)=false),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f2518,f2527])).
% 1.33/0.60 fof(f2553,plain,(
% 1.33/0.60 not2(false)=true|true=false),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f160,f2552])).
% 1.33/0.60 fof(f2554,plain,(
% 1.33/0.60 not2(false)=true),
% 1.33/0.60 inference(forward_subsumption_resolution,[status(thm)],[f2553,f52])).
% 1.33/0.60 fof(f3213,plain,(
% 1.33/0.60 ![X0]: (not2(X0)=phi(X0)|prop(X0)=true)),
% 1.33/0.60 inference(paramodulation,[status(thm)],[f2536,f325])).
% 1.33/0.60 fof(f3288,plain,(
% 1.33/0.60 ~not1(sK7_skl)=phi(sK7_skl)|prop(sK7_skl)=true),
% 1.33/0.60 inference(paramodulation,[status(thm)],[f3213,f165])).
% 1.33/0.60 fof(f3297,plain,(
% 1.33/0.60 prop(sK7_skl)=true),
% 1.33/0.60 inference(forward_subsumption_resolution,[status(thm)],[f3288,f255])).
% 1.33/0.60 fof(f3302,plain,(
% 1.33/0.60 false=true|sK7_skl=false|sK7_skl=true),
% 1.33/0.60 inference(paramodulation,[status(thm)],[f289,f3297])).
% 1.33/0.60 fof(f3350,plain,(
% 1.33/0.60 sK7_skl=false|sK7_skl=true),
% 1.33/0.60 inference(forward_subsumption_resolution,[status(thm)],[f3302,f52])).
% 1.33/0.60 fof(f3400,plain,(
% 1.33/0.60 ~not1(sK7_skl)=not2(true)|sK7_skl=false),
% 1.33/0.60 inference(paramodulation,[status(thm)],[f3350,f165])).
% 1.33/0.60 fof(f3402,plain,(
% 1.33/0.60 ~not1(sK7_skl)=false|sK7_skl=false),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f2532,f3400])).
% 1.33/0.60 fof(f3800,plain,(
% 1.33/0.60 ~not1(true)=false|sK7_skl=false|sK7_skl=false),
% 1.33/0.60 inference(paramodulation,[status(thm)],[f3350,f3402])).
% 1.33/0.60 fof(f3802,plain,(
% 1.33/0.60 ~false=false|sK7_skl=false|sK7_skl=false),
% 1.33/0.60 inference(forward_demodulation,[status(thm)],[f161,f3800])).
% 1.33/0.60 fof(f3803,plain,(
% 1.33/0.60 ~false=false|sK7_skl=false),
% 1.33/0.60 inference(duplicate_literals_removal,[status(thm)],[f3802])).
% 1.33/0.60 fof(f3804,plain,(
% 1.33/0.60 sK7_skl=false),
% 1.33/0.60 inference(trivial_equality_resolution,[status(thm)],[f3803])).
% 1.33/0.60 fof(f3821,plain,(
% 1.33/0.60 ~not1(sK7_skl)=not2(false)),
% 1.33/0.60 inference(backward_demodulation,[status(thm)],[f3804,f165])).
% 1.33/0.60 fof(f3838,plain,(
% 1.33/0.61 ~not1(false)=not2(false)),
% 1.33/0.61 inference(forward_demodulation,[status(thm)],[f3804,f3821])).
% 1.33/0.61 fof(f3839,plain,(
% 1.33/0.61 ~true=not2(false)),
% 1.33/0.61 inference(forward_demodulation,[status(thm)],[f160,f3838])).
% 1.33/0.61 fof(f3840,plain,(
% 1.33/0.61 ~true=true),
% 1.33/0.61 inference(forward_demodulation,[status(thm)],[f2554,f3839])).
% 1.33/0.61 fof(f3841,plain,(
% 1.33/0.61 $false),
% 1.33/0.61 inference(trivial_equality_resolution,[status(thm)],[f3840])).
% 1.33/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 1.33/0.64 % Elapsed time: 0.283350 seconds
% 1.33/0.64 % CPU time: 1.975369 seconds
% 1.33/0.64 % Total memory used: 144.395 MB
% 1.33/0.64 % Net memory used: 141.561 MB
%------------------------------------------------------------------------------