TSTP Solution File: HAL001+2 by Drodi---3.3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.3.3
% Problem  : HAL001+2 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.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 : Fri Sep 16 22:34:30 EDT 2022

% Result   : Theorem 12.73s 2.05s
% Output   : CNFRefutation 13.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : HAL001+2 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Aug 31 21:47:30 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.36  % Drodi V3.3.3
% 12.73/2.05  % Refutation found
% 12.73/2.05  % SZS status Theorem for theBenchmark: Theorem is valid
% 12.73/2.05  % SZS output start CNFRefutation for theBenchmark
% 12.73/2.05  fof(f1,axiom,(
% 12.73/2.05    (! [Morphism,Dom,Cod] :( morphism(Morphism,Dom,Cod)=> ( (! [El] :( element(El,Dom)=> element(apply(Morphism,El),Cod) ))& apply(Morphism,zero(Dom)) = zero(Cod) ) ) )),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f6,axiom,(
% 12.73/2.05    (! [Morphism1,Morphism2,Dom,CodDom,Cod] :( ( exact(Morphism1,Morphism2)& morphism(Morphism1,Dom,CodDom)& morphism(Morphism2,CodDom,Cod) )=> (! [ElCodDom] :( ( element(ElCodDom,CodDom)& apply(Morphism2,ElCodDom) = zero(Cod) )<=> (? [ElDom] :( element(ElDom,Dom)& apply(Morphism1,ElDom) = ElCodDom ) )) )) )),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f8,axiom,(
% 12.73/2.05    (! [M1,M2,M3,M4,Dom,DomCod1,DomCod2,Cod] :( ( commute(M1,M2,M3,M4)& morphism(M1,Dom,DomCod1)& morphism(M2,DomCod1,Cod)& morphism(M3,Dom,DomCod2)& morphism(M4,DomCod2,Cod) )=> (! [ElDom] :( element(ElDom,Dom)=> apply(M2,apply(M1,ElDom)) = apply(M4,apply(M3,ElDom)) ) )) )),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f14,axiom,(
% 12.73/2.05    (! [Morphism,Dom,Cod] :( ( injection(Morphism)& morphism(Morphism,Dom,Cod) )=> (! [El] :( ( element(El,Dom)& apply(Morphism,El) = zero(Cod) )=> El = zero(Dom) ) )) )),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f15,axiom,(
% 12.73/2.05    (! [Morphism,Dom,Cod] :( ( morphism(Morphism,Dom,Cod)& (! [El] :( ( element(El,Dom)& apply(Morphism,El) = zero(Cod) )=> El = zero(Dom) ) ))=> injection(Morphism) ) )),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f16,axiom,(
% 12.73/2.05    morphism(alpha,a,b) ),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f17,axiom,(
% 12.73/2.05    morphism(beta,b,c) ),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f18,axiom,(
% 12.73/2.05    morphism(gamma,d,e) ),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f19,axiom,(
% 12.73/2.05    morphism(delta,e,r) ),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f20,axiom,(
% 12.73/2.05    morphism(f,a,d) ),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f21,axiom,(
% 12.73/2.05    morphism(g,b,e) ),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f22,axiom,(
% 12.73/2.05    morphism(h,c,r) ),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f24,axiom,(
% 12.73/2.05    injection(gamma) ),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f27,axiom,(
% 12.73/2.05    exact(alpha,beta) ),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f29,axiom,(
% 12.73/2.05    commute(alpha,g,f,gamma) ),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f30,axiom,(
% 12.73/2.05    commute(beta,h,g,delta) ),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f31,hypothesis,(
% 12.73/2.05    injection(f) ),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f32,hypothesis,(
% 12.73/2.05    injection(h) ),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f33,conjecture,(
% 12.73/2.05    injection(g) ),
% 12.73/2.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.73/2.05  fof(f34,negated_conjecture,(
% 12.73/2.05    ~(injection(g) )),
% 12.73/2.05    inference(negated_conjecture,[status(cth)],[f33])).
% 12.73/2.05  fof(f35,plain,(
% 12.73/2.05    ![Morphism,Dom,Cod]: (~morphism(Morphism,Dom,Cod)|((![El]: (~element(El,Dom)|element(apply(Morphism,El),Cod)))&apply(Morphism,zero(Dom))=zero(Cod)))),
% 12.73/2.05    inference(pre_NNF_transformation,[status(esa)],[f1])).
% 12.73/2.05  fof(f36,plain,(
% 12.73/2.05    ![X0,X1,X2,X3]: (~morphism(X0,X1,X2)|~element(X3,X1)|element(apply(X0,X3),X2))),
% 12.73/2.05    inference(cnf_transformation,[status(esa)],[f35])).
% 12.73/2.05  fof(f37,plain,(
% 12.73/2.05    ![X0,X1,X2]: (~morphism(X0,X1,X2)|apply(X0,zero(X1))=zero(X2))),
% 12.73/2.05    inference(cnf_transformation,[status(esa)],[f35])).
% 12.73/2.05  fof(f57,plain,(
% 12.73/2.05    ![Morphism1,Morphism2,Dom,CodDom,Cod]: (((~exact(Morphism1,Morphism2)|~morphism(Morphism1,Dom,CodDom))|~morphism(Morphism2,CodDom,Cod))|(![ElCodDom]: ((element(ElCodDom,CodDom)&apply(Morphism2,ElCodDom)=zero(Cod))<=>(?[ElDom]: (element(ElDom,Dom)&apply(Morphism1,ElDom)=ElCodDom)))))),
% 12.73/2.05    inference(pre_NNF_transformation,[status(esa)],[f6])).
% 12.73/2.05  fof(f58,plain,(
% 12.73/2.05    ![Morphism1,Morphism2,Dom,CodDom,Cod]: (((~exact(Morphism1,Morphism2)|~morphism(Morphism1,Dom,CodDom))|~morphism(Morphism2,CodDom,Cod))|(![ElCodDom]: (((~element(ElCodDom,CodDom)|~apply(Morphism2,ElCodDom)=zero(Cod))|(?[ElDom]: (element(ElDom,Dom)&apply(Morphism1,ElDom)=ElCodDom)))&((element(ElCodDom,CodDom)&apply(Morphism2,ElCodDom)=zero(Cod))|(![ElDom]: (~element(ElDom,Dom)|~apply(Morphism1,ElDom)=ElCodDom))))))),
% 12.73/2.07    inference(NNF_transformation,[status(esa)],[f57])).
% 12.73/2.07  fof(f59,plain,(
% 12.73/2.07    ![Morphism1,Morphism2,Dom,CodDom,Cod]: (((~exact(Morphism1,Morphism2)|~morphism(Morphism1,Dom,CodDom))|~morphism(Morphism2,CodDom,Cod))|((![ElCodDom]: ((~element(ElCodDom,CodDom)|~apply(Morphism2,ElCodDom)=zero(Cod))|(?[ElDom]: (element(ElDom,Dom)&apply(Morphism1,ElDom)=ElCodDom))))&(![ElCodDom]: ((element(ElCodDom,CodDom)&apply(Morphism2,ElCodDom)=zero(Cod))|(![ElDom]: (~element(ElDom,Dom)|~apply(Morphism1,ElDom)=ElCodDom))))))),
% 12.73/2.07    inference(miniscoping,[status(esa)],[f58])).
% 12.73/2.07  fof(f60,plain,(
% 12.73/2.07    ![Morphism1,Morphism2,Dom,CodDom,Cod]: (((~exact(Morphism1,Morphism2)|~morphism(Morphism1,Dom,CodDom))|~morphism(Morphism2,CodDom,Cod))|((![ElCodDom]: ((~element(ElCodDom,CodDom)|~apply(Morphism2,ElCodDom)=zero(Cod))|(element(sk0_4(ElCodDom,Cod,CodDom,Dom,Morphism2,Morphism1),Dom)&apply(Morphism1,sk0_4(ElCodDom,Cod,CodDom,Dom,Morphism2,Morphism1))=ElCodDom)))&(![ElCodDom]: ((element(ElCodDom,CodDom)&apply(Morphism2,ElCodDom)=zero(Cod))|(![ElDom]: (~element(ElDom,Dom)|~apply(Morphism1,ElDom)=ElCodDom))))))),
% 12.73/2.07    inference(skolemization,[status(esa)],[f59])).
% 12.73/2.07  fof(f61,plain,(
% 12.73/2.07    ![X0,X1,X2,X3,X4,X5]: (~exact(X0,X1)|~morphism(X0,X2,X3)|~morphism(X1,X3,X4)|~element(X5,X3)|~apply(X1,X5)=zero(X4)|element(sk0_4(X5,X4,X3,X2,X1,X0),X2))),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f60])).
% 12.73/2.07  fof(f62,plain,(
% 12.73/2.07    ![X0,X1,X2,X3,X4,X5]: (~exact(X0,X1)|~morphism(X0,X2,X3)|~morphism(X1,X3,X4)|~element(X5,X3)|~apply(X1,X5)=zero(X4)|apply(X0,sk0_4(X5,X4,X3,X2,X1,X0))=X5)),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f60])).
% 12.73/2.07  fof(f74,plain,(
% 12.73/2.07    ![M1,M2,M3,M4,Dom,DomCod1,DomCod2,Cod]: (((((~commute(M1,M2,M3,M4)|~morphism(M1,Dom,DomCod1))|~morphism(M2,DomCod1,Cod))|~morphism(M3,Dom,DomCod2))|~morphism(M4,DomCod2,Cod))|(![ElDom]: (~element(ElDom,Dom)|apply(M2,apply(M1,ElDom))=apply(M4,apply(M3,ElDom)))))),
% 12.73/2.07    inference(pre_NNF_transformation,[status(esa)],[f8])).
% 12.73/2.07  fof(f75,plain,(
% 12.73/2.07    ![M1,M2,M3,M4,Dom]: ((![DomCod2,Cod]: (((![DomCod1]: ((~commute(M1,M2,M3,M4)|~morphism(M1,Dom,DomCod1))|~morphism(M2,DomCod1,Cod)))|~morphism(M3,Dom,DomCod2))|~morphism(M4,DomCod2,Cod)))|(![ElDom]: (~element(ElDom,Dom)|apply(M2,apply(M1,ElDom))=apply(M4,apply(M3,ElDom)))))),
% 12.73/2.07    inference(miniscoping,[status(esa)],[f74])).
% 12.73/2.07  fof(f76,plain,(
% 12.73/2.07    ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~commute(X0,X1,X2,X3)|~morphism(X0,X4,X5)|~morphism(X1,X5,X6)|~morphism(X2,X4,X7)|~morphism(X3,X7,X6)|~element(X8,X4)|apply(X1,apply(X0,X8))=apply(X3,apply(X2,X8)))),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f75])).
% 12.73/2.07  fof(f90,plain,(
% 12.73/2.07    ![Morphism,Dom,Cod]: ((~injection(Morphism)|~morphism(Morphism,Dom,Cod))|(![El]: ((~element(El,Dom)|~apply(Morphism,El)=zero(Cod))|El=zero(Dom))))),
% 12.73/2.07    inference(pre_NNF_transformation,[status(esa)],[f14])).
% 12.73/2.07  fof(f91,plain,(
% 12.73/2.07    ![X0,X1,X2,X3]: (~injection(X0)|~morphism(X0,X1,X2)|~element(X3,X1)|~apply(X0,X3)=zero(X2)|X3=zero(X1))),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f90])).
% 12.73/2.07  fof(f92,plain,(
% 12.73/2.07    ![Morphism,Dom,Cod]: ((~morphism(Morphism,Dom,Cod)|(?[El]: ((element(El,Dom)&apply(Morphism,El)=zero(Cod))&~El=zero(Dom))))|injection(Morphism))),
% 12.73/2.07    inference(pre_NNF_transformation,[status(esa)],[f15])).
% 12.73/2.07  fof(f93,plain,(
% 12.73/2.07    ![Morphism]: ((![Dom,Cod]: (~morphism(Morphism,Dom,Cod)|(?[El]: ((element(El,Dom)&apply(Morphism,El)=zero(Cod))&~El=zero(Dom)))))|injection(Morphism))),
% 12.73/2.07    inference(miniscoping,[status(esa)],[f92])).
% 12.73/2.07  fof(f94,plain,(
% 12.73/2.07    ![Morphism]: ((![Dom,Cod]: (~morphism(Morphism,Dom,Cod)|((element(sk0_8(Cod,Dom,Morphism),Dom)&apply(Morphism,sk0_8(Cod,Dom,Morphism))=zero(Cod))&~sk0_8(Cod,Dom,Morphism)=zero(Dom))))|injection(Morphism))),
% 12.73/2.07    inference(skolemization,[status(esa)],[f93])).
% 12.73/2.07  fof(f95,plain,(
% 12.73/2.07    ![X0,X1,X2]: (~morphism(X0,X1,X2)|element(sk0_8(X2,X1,X0),X1)|injection(X0))),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f94])).
% 12.73/2.07  fof(f96,plain,(
% 12.73/2.07    ![X0,X1,X2]: (~morphism(X0,X1,X2)|apply(X0,sk0_8(X2,X1,X0))=zero(X2)|injection(X0))),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f94])).
% 12.73/2.07  fof(f97,plain,(
% 12.73/2.07    ![X0,X1,X2]: (~morphism(X0,X1,X2)|~sk0_8(X2,X1,X0)=zero(X1)|injection(X0))),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f94])).
% 12.73/2.07  fof(f98,plain,(
% 12.73/2.07    morphism(alpha,a,b)),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f16])).
% 12.73/2.07  fof(f99,plain,(
% 12.73/2.07    morphism(beta,b,c)),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f17])).
% 12.73/2.07  fof(f100,plain,(
% 12.73/2.07    morphism(gamma,d,e)),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f18])).
% 12.73/2.07  fof(f101,plain,(
% 12.73/2.07    morphism(delta,e,r)),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f19])).
% 12.73/2.07  fof(f102,plain,(
% 12.73/2.07    morphism(f,a,d)),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f20])).
% 12.73/2.07  fof(f103,plain,(
% 12.73/2.07    morphism(g,b,e)),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f21])).
% 12.73/2.07  fof(f104,plain,(
% 12.73/2.07    morphism(h,c,r)),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f22])).
% 12.73/2.07  fof(f106,plain,(
% 12.73/2.07    injection(gamma)),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f24])).
% 12.73/2.07  fof(f109,plain,(
% 12.73/2.07    exact(alpha,beta)),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f27])).
% 12.73/2.07  fof(f111,plain,(
% 12.73/2.07    commute(alpha,g,f,gamma)),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f29])).
% 12.73/2.07  fof(f112,plain,(
% 12.73/2.07    commute(beta,h,g,delta)),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f30])).
% 12.73/2.07  fof(f113,plain,(
% 12.73/2.07    injection(f)),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f31])).
% 12.73/2.07  fof(f114,plain,(
% 12.73/2.07    injection(h)),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f32])).
% 12.73/2.07  fof(f115,plain,(
% 12.73/2.07    ~injection(g)),
% 12.73/2.07    inference(cnf_transformation,[status(esa)],[f34])).
% 12.73/2.07  fof(f125,plain,(
% 12.73/2.07    ![X0,X1,X2]: (~morphism(gamma,X0,X1)|~element(X2,X0)|~apply(gamma,X2)=zero(X1)|X2=zero(X0))),
% 12.73/2.07    inference(resolution,[status(thm)],[f91,f106])).
% 12.73/2.07  fof(f127,plain,(
% 12.73/2.07    spl0_0 <=> element(sk0_8(e,b,g),b)),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f128,plain,(
% 12.73/2.07    element(sk0_8(e,b,g),b)|~spl0_0),
% 12.73/2.07    inference(component_clause,[status(thm)],[f127])).
% 12.73/2.07  fof(f130,plain,(
% 12.73/2.07    spl0_1 <=> injection(g)),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f131,plain,(
% 12.73/2.07    injection(g)|~spl0_1),
% 12.73/2.07    inference(component_clause,[status(thm)],[f130])).
% 12.73/2.07  fof(f133,plain,(
% 12.73/2.07    element(sk0_8(e,b,g),b)|injection(g)),
% 12.73/2.07    inference(resolution,[status(thm)],[f103,f95])).
% 12.73/2.07  fof(f134,plain,(
% 12.73/2.07    spl0_0|spl0_1),
% 12.73/2.07    inference(split_clause,[status(thm)],[f133,f127,f130])).
% 12.73/2.07  fof(f147,plain,(
% 12.73/2.07    $false|~spl0_1),
% 12.73/2.07    inference(forward_subsumption_resolution,[status(thm)],[f131,f115])).
% 12.73/2.07  fof(f148,plain,(
% 12.73/2.07    ~spl0_1),
% 12.73/2.07    inference(contradiction_clause,[status(thm)],[f147])).
% 12.73/2.07  fof(f149,plain,(
% 12.73/2.07    ![X0,X1,X2]: (~morphism(f,X0,X1)|~element(X2,X0)|~apply(f,X2)=zero(X1)|X2=zero(X0))),
% 12.73/2.07    inference(resolution,[status(thm)],[f113,f91])).
% 12.73/2.07  fof(f151,plain,(
% 12.73/2.07    ![X0,X1,X2]: (~morphism(h,X0,X1)|~element(X2,X0)|~apply(h,X2)=zero(X1)|X2=zero(X0))),
% 12.73/2.07    inference(resolution,[status(thm)],[f114,f91])).
% 12.73/2.07  fof(f182,plain,(
% 12.73/2.07    apply(alpha,zero(a))=zero(b)),
% 12.73/2.07    inference(resolution,[status(thm)],[f98,f37])).
% 12.73/2.07  fof(f201,plain,(
% 12.73/2.07    ![X0]: (~element(X0,b)|element(apply(beta,X0),c))),
% 12.73/2.07    inference(resolution,[status(thm)],[f99,f36])).
% 12.73/2.07  fof(f228,plain,(
% 12.73/2.07    ![X0]: (~element(X0,d)|~apply(gamma,X0)=zero(e)|X0=zero(d))),
% 12.73/2.07    inference(resolution,[status(thm)],[f100,f125])).
% 12.73/2.07  fof(f258,plain,(
% 12.73/2.07    apply(gamma,zero(d))=zero(e)),
% 12.73/2.07    inference(resolution,[status(thm)],[f100,f37])).
% 12.73/2.07  fof(f288,plain,(
% 12.73/2.07    apply(delta,zero(e))=zero(r)),
% 12.73/2.07    inference(resolution,[status(thm)],[f101,f37])).
% 12.73/2.07  fof(f314,plain,(
% 12.73/2.07    ![X0]: (~element(X0,a)|element(apply(f,X0),d))),
% 12.73/2.07    inference(resolution,[status(thm)],[f102,f36])).
% 12.73/2.07  fof(f320,plain,(
% 12.73/2.07    apply(f,zero(a))=zero(d)),
% 12.73/2.07    inference(resolution,[status(thm)],[f102,f37])).
% 12.73/2.07  fof(f452,plain,(
% 12.73/2.07    ![X0,X1,X2,X3]: (~morphism(alpha,X0,X1)|~morphism(beta,X1,X2)|~element(X3,X1)|~apply(beta,X3)=zero(X2)|element(sk0_4(X3,X2,X1,X0,beta,alpha),X0))),
% 12.73/2.07    inference(resolution,[status(thm)],[f61,f109])).
% 12.73/2.07  fof(f464,plain,(
% 12.73/2.07    ![X0,X1,X2,X3]: (~morphism(alpha,X0,X1)|~morphism(beta,X1,X2)|~element(X3,X1)|~apply(beta,X3)=zero(X2)|apply(alpha,sk0_4(X3,X2,X1,X0,beta,alpha))=X3)),
% 12.73/2.07    inference(resolution,[status(thm)],[f62,f109])).
% 12.73/2.07  fof(f520,plain,(
% 12.73/2.07    spl0_69 <=> sk0_8(e,b,g)=zero(b)),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f522,plain,(
% 12.73/2.07    ~sk0_8(e,b,g)=zero(b)|spl0_69),
% 12.73/2.07    inference(component_clause,[status(thm)],[f520])).
% 12.73/2.07  fof(f523,plain,(
% 12.73/2.07    ~sk0_8(e,b,g)=zero(b)|injection(g)),
% 12.73/2.07    inference(resolution,[status(thm)],[f97,f103])).
% 12.73/2.07  fof(f524,plain,(
% 12.73/2.07    ~spl0_69|spl0_1),
% 12.73/2.07    inference(split_clause,[status(thm)],[f523,f520,f130])).
% 12.73/2.07  fof(f527,plain,(
% 12.73/2.07    ![X0]: (~element(X0,a)|~apply(f,X0)=zero(d)|X0=zero(a))),
% 12.73/2.07    inference(resolution,[status(thm)],[f149,f102])).
% 12.73/2.07  fof(f528,plain,(
% 12.73/2.07    ![X0]: (~element(X0,c)|~apply(h,X0)=zero(r)|X0=zero(c))),
% 12.73/2.07    inference(resolution,[status(thm)],[f151,f104])).
% 12.73/2.07  fof(f537,plain,(
% 12.73/2.07    ![X0,X1,X2,X3,X4]: (~morphism(beta,X0,X1)|~morphism(h,X1,X2)|~morphism(g,X0,X3)|~morphism(delta,X3,X2)|~element(X4,X0)|apply(h,apply(beta,X4))=apply(delta,apply(g,X4)))),
% 12.73/2.07    inference(resolution,[status(thm)],[f76,f112])).
% 12.73/2.07  fof(f538,plain,(
% 12.73/2.07    ![X0,X1,X2,X3,X4]: (~morphism(alpha,X0,X1)|~morphism(g,X1,X2)|~morphism(f,X0,X3)|~morphism(gamma,X3,X2)|~element(X4,X0)|apply(g,apply(alpha,X4))=apply(gamma,apply(f,X4)))),
% 12.73/2.07    inference(resolution,[status(thm)],[f76,f111])).
% 12.73/2.07  fof(f539,plain,(
% 12.73/2.07    spl0_70 <=> apply(beta,sk0_8(e,b,g))=zero(c)),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f647,plain,(
% 12.73/2.07    spl0_85 <=> apply(g,sk0_8(e,b,g))=zero(e)),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f648,plain,(
% 12.73/2.07    apply(g,sk0_8(e,b,g))=zero(e)|~spl0_85),
% 12.73/2.07    inference(component_clause,[status(thm)],[f647])).
% 12.73/2.07  fof(f650,plain,(
% 12.73/2.07    apply(g,sk0_8(e,b,g))=zero(e)|injection(g)),
% 12.73/2.07    inference(resolution,[status(thm)],[f96,f103])).
% 12.73/2.07  fof(f651,plain,(
% 12.73/2.07    spl0_85|spl0_1),
% 12.73/2.07    inference(split_clause,[status(thm)],[f650,f647,f130])).
% 12.73/2.07  fof(f657,plain,(
% 12.73/2.07    element(apply(beta,sk0_8(e,b,g)),c)|~spl0_0),
% 12.73/2.07    inference(resolution,[status(thm)],[f201,f128])).
% 12.73/2.07  fof(f816,plain,(
% 12.73/2.07    ![X0,X1]: (~morphism(beta,b,X0)|~element(X1,b)|~apply(beta,X1)=zero(X0)|apply(alpha,sk0_4(X1,X0,b,a,beta,alpha))=X1)),
% 12.73/2.07    inference(resolution,[status(thm)],[f464,f98])).
% 12.73/2.07  fof(f817,plain,(
% 12.73/2.07    ![X0]: (~element(X0,b)|~apply(beta,X0)=zero(c)|apply(alpha,sk0_4(X0,c,b,a,beta,alpha))=X0)),
% 12.73/2.07    inference(resolution,[status(thm)],[f816,f99])).
% 12.73/2.07  fof(f849,plain,(
% 12.73/2.07    spl0_101 <=> apply(alpha,sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha))=sk0_8(e,b,g)),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f850,plain,(
% 12.73/2.07    apply(alpha,sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha))=sk0_8(e,b,g)|~spl0_101),
% 12.73/2.07    inference(component_clause,[status(thm)],[f849])).
% 12.73/2.07  fof(f852,plain,(
% 12.73/2.07    ~apply(beta,sk0_8(e,b,g))=zero(c)|apply(alpha,sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha))=sk0_8(e,b,g)|~spl0_0),
% 12.73/2.07    inference(resolution,[status(thm)],[f817,f128])).
% 12.73/2.07  fof(f853,plain,(
% 12.73/2.07    ~spl0_70|spl0_101|~spl0_0),
% 12.73/2.07    inference(split_clause,[status(thm)],[f852,f539,f849,f127])).
% 12.73/2.07  fof(f1040,plain,(
% 12.73/2.07    spl0_118 <=> apply(h,apply(beta,sk0_8(e,b,g)))=zero(r)),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f1042,plain,(
% 12.73/2.07    ~apply(h,apply(beta,sk0_8(e,b,g)))=zero(r)|spl0_118),
% 12.73/2.07    inference(component_clause,[status(thm)],[f1040])).
% 12.73/2.07  fof(f1043,plain,(
% 12.73/2.07    ~apply(h,apply(beta,sk0_8(e,b,g)))=zero(r)|apply(beta,sk0_8(e,b,g))=zero(c)|~spl0_0),
% 12.73/2.07    inference(resolution,[status(thm)],[f657,f528])).
% 12.73/2.07  fof(f1044,plain,(
% 12.73/2.07    ~spl0_118|spl0_70|~spl0_0),
% 12.73/2.07    inference(split_clause,[status(thm)],[f1043,f1040,f539,f127])).
% 12.73/2.07  fof(f1162,plain,(
% 12.73/2.07    ![X0,X1]: (~morphism(beta,b,X0)|~element(X1,b)|~apply(beta,X1)=zero(X0)|element(sk0_4(X1,X0,b,a,beta,alpha),a))),
% 12.73/2.07    inference(resolution,[status(thm)],[f452,f98])).
% 12.73/2.07  fof(f3253,plain,(
% 12.73/2.07    spl0_286 <=> ~morphism(h,c,X0)|~morphism(g,b,X1)|~morphism(delta,X1,X0)),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f3254,plain,(
% 12.73/2.07    ![X0,X1]: (~morphism(h,c,X0)|~morphism(g,b,X1)|~morphism(delta,X1,X0)|~spl0_286)),
% 12.73/2.07    inference(component_clause,[status(thm)],[f3253])).
% 12.73/2.07  fof(f3256,plain,(
% 12.73/2.07    spl0_287 <=> ~element(X2,b)|apply(h,apply(beta,X2))=apply(delta,apply(g,X2))),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f3257,plain,(
% 12.73/2.07    ![X0]: (~element(X0,b)|apply(h,apply(beta,X0))=apply(delta,apply(g,X0))|~spl0_287)),
% 12.73/2.07    inference(component_clause,[status(thm)],[f3256])).
% 12.73/2.07  fof(f3259,plain,(
% 12.73/2.07    ![X0,X1,X2]: (~morphism(h,c,X0)|~morphism(g,b,X1)|~morphism(delta,X1,X0)|~element(X2,b)|apply(h,apply(beta,X2))=apply(delta,apply(g,X2)))),
% 12.73/2.07    inference(resolution,[status(thm)],[f537,f99])).
% 12.73/2.07  fof(f3260,plain,(
% 12.73/2.07    spl0_286|spl0_287),
% 12.73/2.07    inference(split_clause,[status(thm)],[f3259,f3253,f3256])).
% 12.73/2.07  fof(f3392,plain,(
% 12.73/2.07    spl0_288 <=> ~morphism(g,b,X0)|~morphism(f,a,X1)|~morphism(gamma,X1,X0)),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f3393,plain,(
% 12.73/2.07    ![X0,X1]: (~morphism(g,b,X0)|~morphism(f,a,X1)|~morphism(gamma,X1,X0)|~spl0_288)),
% 12.73/2.07    inference(component_clause,[status(thm)],[f3392])).
% 12.73/2.07  fof(f3395,plain,(
% 12.73/2.07    spl0_289 <=> ~element(X2,a)|apply(g,apply(alpha,X2))=apply(gamma,apply(f,X2))),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f3396,plain,(
% 12.73/2.07    ![X0]: (~element(X0,a)|apply(g,apply(alpha,X0))=apply(gamma,apply(f,X0))|~spl0_289)),
% 12.73/2.07    inference(component_clause,[status(thm)],[f3395])).
% 12.73/2.07  fof(f3398,plain,(
% 12.73/2.07    ![X0,X1,X2]: (~morphism(g,b,X0)|~morphism(f,a,X1)|~morphism(gamma,X1,X0)|~element(X2,a)|apply(g,apply(alpha,X2))=apply(gamma,apply(f,X2)))),
% 12.73/2.07    inference(resolution,[status(thm)],[f538,f98])).
% 12.73/2.07  fof(f3399,plain,(
% 12.73/2.07    spl0_288|spl0_289),
% 12.73/2.07    inference(split_clause,[status(thm)],[f3398,f3392,f3395])).
% 12.73/2.07  fof(f3400,plain,(
% 12.73/2.07    ![X0]: (~morphism(f,a,X0)|~morphism(gamma,X0,e)|~spl0_288)),
% 12.73/2.07    inference(resolution,[status(thm)],[f3393,f103])).
% 12.73/2.07  fof(f3401,plain,(
% 12.73/2.07    ~morphism(gamma,d,e)|~spl0_288),
% 12.73/2.07    inference(resolution,[status(thm)],[f3400,f102])).
% 12.73/2.07  fof(f3402,plain,(
% 12.73/2.07    $false|~spl0_288),
% 12.73/2.07    inference(forward_subsumption_resolution,[status(thm)],[f3401,f100])).
% 12.73/2.07  fof(f3403,plain,(
% 12.73/2.07    ~spl0_288),
% 12.73/2.07    inference(contradiction_clause,[status(thm)],[f3402])).
% 12.73/2.07  fof(f4028,plain,(
% 12.73/2.07    ![X0]: (~morphism(g,b,X0)|~morphism(delta,X0,r)|~spl0_286)),
% 12.73/2.07    inference(resolution,[status(thm)],[f3254,f104])).
% 12.73/2.07  fof(f4029,plain,(
% 12.73/2.07    ~morphism(delta,e,r)|~spl0_286),
% 12.73/2.07    inference(resolution,[status(thm)],[f4028,f103])).
% 12.73/2.07  fof(f4030,plain,(
% 12.73/2.07    $false|~spl0_286),
% 12.73/2.07    inference(forward_subsumption_resolution,[status(thm)],[f4029,f101])).
% 12.73/2.07  fof(f4031,plain,(
% 12.73/2.07    ~spl0_286),
% 12.73/2.07    inference(contradiction_clause,[status(thm)],[f4030])).
% 12.73/2.07  fof(f4153,plain,(
% 12.73/2.07    apply(h,apply(beta,sk0_8(e,b,g)))=apply(delta,apply(g,sk0_8(e,b,g)))|~spl0_287|~spl0_0),
% 12.73/2.07    inference(resolution,[status(thm)],[f3257,f128])).
% 12.73/2.07  fof(f4154,plain,(
% 12.73/2.07    apply(h,apply(beta,sk0_8(e,b,g)))=apply(delta,zero(e))|~spl0_85|~spl0_287|~spl0_0),
% 12.73/2.07    inference(forward_demodulation,[status(thm)],[f648,f4153])).
% 12.73/2.07  fof(f4155,plain,(
% 12.73/2.07    apply(h,apply(beta,sk0_8(e,b,g)))=zero(r)|~spl0_85|~spl0_287|~spl0_0),
% 12.73/2.07    inference(forward_demodulation,[status(thm)],[f288,f4154])).
% 12.73/2.07  fof(f4156,plain,(
% 12.73/2.07    $false|spl0_118|~spl0_85|~spl0_287|~spl0_0),
% 12.73/2.07    inference(forward_subsumption_resolution,[status(thm)],[f4155,f1042])).
% 12.73/2.07  fof(f4157,plain,(
% 12.73/2.07    spl0_118|~spl0_85|~spl0_287|~spl0_0),
% 12.73/2.07    inference(contradiction_clause,[status(thm)],[f4156])).
% 12.73/2.07  fof(f6598,plain,(
% 12.73/2.07    spl0_440 <=> apply(h,sk0_5(r,c,b,h,beta))=apply(h,sk0_5(r,c,b,h,beta))),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f6600,plain,(
% 12.73/2.07    ~apply(h,sk0_5(r,c,b,h,beta))=apply(h,sk0_5(r,c,b,h,beta))|spl0_440),
% 12.73/2.07    inference(component_clause,[status(thm)],[f6598])).
% 12.73/2.07  fof(f6684,plain,(
% 12.73/2.07    $false|spl0_440),
% 12.73/2.07    inference(trivial_equality_resolution,[status(esa)],[f6600])).
% 12.73/2.07  fof(f6685,plain,(
% 12.73/2.07    spl0_440),
% 12.73/2.07    inference(contradiction_clause,[status(thm)],[f6684])).
% 12.73/2.07  fof(f7587,plain,(
% 12.73/2.07    spl0_506 <=> apply(f,zero(a))=zero(d)),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f7589,plain,(
% 12.73/2.07    ~apply(f,zero(a))=zero(d)|spl0_506),
% 12.73/2.07    inference(component_clause,[status(thm)],[f7587])).
% 12.73/2.07  fof(f7595,plain,(
% 12.73/2.07    spl0_508 <=> apply(alpha,zero(a))=zero(b)),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f7597,plain,(
% 12.73/2.07    ~apply(alpha,zero(a))=zero(b)|spl0_508),
% 12.73/2.07    inference(component_clause,[status(thm)],[f7595])).
% 12.73/2.07  fof(f7604,plain,(
% 12.73/2.07    ~zero(d)=zero(d)|spl0_506),
% 12.73/2.07    inference(forward_demodulation,[status(thm)],[f320,f7589])).
% 12.73/2.07  fof(f7605,plain,(
% 12.73/2.07    $false|spl0_506),
% 12.73/2.07    inference(trivial_equality_resolution,[status(esa)],[f7604])).
% 12.73/2.07  fof(f7606,plain,(
% 12.73/2.07    spl0_506),
% 12.73/2.07    inference(contradiction_clause,[status(thm)],[f7605])).
% 12.73/2.07  fof(f7607,plain,(
% 12.73/2.07    ~zero(b)=zero(b)|spl0_508),
% 12.73/2.07    inference(forward_demodulation,[status(thm)],[f182,f7597])).
% 12.73/2.07  fof(f7608,plain,(
% 12.73/2.07    $false|spl0_508),
% 12.73/2.07    inference(trivial_equality_resolution,[status(esa)],[f7607])).
% 12.73/2.07  fof(f7609,plain,(
% 12.73/2.07    spl0_508),
% 12.73/2.07    inference(contradiction_clause,[status(thm)],[f7608])).
% 12.73/2.07  fof(f7614,plain,(
% 12.73/2.07    spl0_509 <=> apply(gamma,zero(d))=zero(e)),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f7616,plain,(
% 12.73/2.07    ~apply(gamma,zero(d))=zero(e)|spl0_509),
% 12.73/2.07    inference(component_clause,[status(thm)],[f7614])).
% 12.73/2.07  fof(f7638,plain,(
% 12.73/2.07    ~zero(e)=zero(e)|spl0_509),
% 12.73/2.07    inference(forward_demodulation,[status(thm)],[f258,f7616])).
% 12.73/2.07  fof(f7639,plain,(
% 12.73/2.07    $false|spl0_509),
% 12.73/2.07    inference(trivial_equality_resolution,[status(esa)],[f7638])).
% 12.73/2.07  fof(f7640,plain,(
% 12.73/2.07    spl0_509),
% 12.73/2.07    inference(contradiction_clause,[status(thm)],[f7639])).
% 12.73/2.07  fof(f11912,plain,(
% 12.73/2.07    spl0_591 <=> apply(gamma,sk0_3(d,a,f))=apply(gamma,sk0_3(d,a,f))),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f11914,plain,(
% 12.73/2.07    ~apply(gamma,sk0_3(d,a,f))=apply(gamma,sk0_3(d,a,f))|spl0_591),
% 12.73/2.07    inference(component_clause,[status(thm)],[f11912])).
% 12.73/2.07  fof(f11933,plain,(
% 12.73/2.07    $false|spl0_591),
% 12.73/2.07    inference(trivial_equality_resolution,[status(esa)],[f11914])).
% 12.73/2.07  fof(f11934,plain,(
% 12.73/2.07    spl0_591),
% 12.73/2.07    inference(contradiction_clause,[status(thm)],[f11933])).
% 12.73/2.07  fof(f13795,plain,(
% 12.73/2.07    ![X0]: (~element(X0,b)|~apply(beta,X0)=zero(c)|element(sk0_4(X0,c,b,a,beta,alpha),a))),
% 12.73/2.07    inference(resolution,[status(thm)],[f1162,f99])).
% 12.73/2.07  fof(f14331,plain,(
% 12.73/2.07    spl0_626 <=> apply(gamma,sk0_8(e,d,gamma))=apply(gamma,sk0_8(e,d,gamma))),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f14333,plain,(
% 12.73/2.07    ~apply(gamma,sk0_8(e,d,gamma))=apply(gamma,sk0_8(e,d,gamma))|spl0_626),
% 12.73/2.07    inference(component_clause,[status(thm)],[f14331])).
% 12.73/2.07  fof(f14339,plain,(
% 12.73/2.07    $false|spl0_626),
% 12.73/2.07    inference(trivial_equality_resolution,[status(esa)],[f14333])).
% 12.73/2.07  fof(f14340,plain,(
% 12.73/2.07    spl0_626),
% 12.73/2.07    inference(contradiction_clause,[status(thm)],[f14339])).
% 12.73/2.07  fof(f14720,plain,(
% 12.73/2.07    spl0_698 <=> element(sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha),a)),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f14721,plain,(
% 12.73/2.07    element(sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha),a)|~spl0_698),
% 12.73/2.07    inference(component_clause,[status(thm)],[f14720])).
% 12.73/2.07  fof(f14723,plain,(
% 12.73/2.07    ~apply(beta,sk0_8(e,b,g))=zero(c)|element(sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha),a)|~spl0_0),
% 12.73/2.07    inference(resolution,[status(thm)],[f13795,f128])).
% 12.73/2.07  fof(f14724,plain,(
% 12.73/2.07    ~spl0_70|spl0_698|~spl0_0),
% 12.73/2.07    inference(split_clause,[status(thm)],[f14723,f539,f14720,f127])).
% 12.73/2.07  fof(f14826,plain,(
% 12.73/2.07    spl0_706 <=> apply(f,sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha))=zero(d)),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f14829,plain,(
% 12.73/2.07    spl0_707 <=> sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha)=zero(a)),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f14830,plain,(
% 12.73/2.07    sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha)=zero(a)|~spl0_707),
% 12.73/2.07    inference(component_clause,[status(thm)],[f14829])).
% 12.73/2.07  fof(f14832,plain,(
% 12.73/2.07    ~apply(f,sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha))=zero(d)|sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha)=zero(a)|~spl0_698),
% 12.73/2.07    inference(resolution,[status(thm)],[f14721,f527])).
% 12.73/2.07  fof(f14833,plain,(
% 12.73/2.07    ~spl0_706|spl0_707|~spl0_698),
% 12.73/2.07    inference(split_clause,[status(thm)],[f14832,f14826,f14829,f14720])).
% 12.73/2.07  fof(f14845,plain,(
% 12.73/2.07    apply(g,apply(alpha,sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha)))=apply(gamma,apply(f,sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha)))|~spl0_698|~spl0_289),
% 12.73/2.07    inference(resolution,[status(thm)],[f14721,f3396])).
% 12.73/2.07  fof(f14846,plain,(
% 12.73/2.07    apply(g,sk0_8(e,b,g))=apply(gamma,apply(f,sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha)))|~spl0_101|~spl0_698|~spl0_289),
% 12.73/2.07    inference(forward_demodulation,[status(thm)],[f850,f14845])).
% 12.73/2.07  fof(f14847,plain,(
% 12.73/2.07    zero(e)=apply(gamma,apply(f,sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha)))|~spl0_85|~spl0_101|~spl0_698|~spl0_289),
% 12.73/2.07    inference(forward_demodulation,[status(thm)],[f648,f14846])).
% 12.73/2.07  fof(f14850,plain,(
% 12.73/2.07    element(apply(f,sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha)),d)|~spl0_698),
% 12.73/2.07    inference(resolution,[status(thm)],[f14721,f314])).
% 12.73/2.07  fof(f15685,plain,(
% 12.73/2.07    spl0_713 <=> apply(gamma,apply(f,sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha)))=zero(e)),
% 12.73/2.07    introduced(split_symbol_definition)).
% 12.73/2.07  fof(f15687,plain,(
% 12.73/2.07    ~apply(gamma,apply(f,sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha)))=zero(e)|spl0_713),
% 12.73/2.07    inference(component_clause,[status(thm)],[f15685])).
% 13.50/2.08  fof(f15688,plain,(
% 13.50/2.08    ~apply(gamma,apply(f,sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha)))=zero(e)|apply(f,sk0_4(sk0_8(e,b,g),c,b,a,beta,alpha))=zero(d)|~spl0_698),
% 13.50/2.08    inference(resolution,[status(thm)],[f14850,f228])).
% 13.50/2.08  fof(f15689,plain,(
% 13.50/2.08    ~spl0_713|spl0_706|~spl0_698),
% 13.50/2.08    inference(split_clause,[status(thm)],[f15688,f15685,f14826,f14720])).
% 13.50/2.08  fof(f16325,plain,(
% 13.50/2.08    apply(alpha,zero(a))=sk0_8(e,b,g)|~spl0_707|~spl0_101),
% 13.50/2.08    inference(backward_demodulation,[status(thm)],[f14830,f850])).
% 13.50/2.08  fof(f16326,plain,(
% 13.50/2.08    zero(b)=sk0_8(e,b,g)|~spl0_707|~spl0_101),
% 13.50/2.08    inference(forward_demodulation,[status(thm)],[f182,f16325])).
% 13.50/2.08  fof(f16327,plain,(
% 13.50/2.08    $false|spl0_69|~spl0_707|~spl0_101),
% 13.50/2.08    inference(forward_subsumption_resolution,[status(thm)],[f16326,f522])).
% 13.50/2.08  fof(f16328,plain,(
% 13.50/2.08    spl0_69|~spl0_707|~spl0_101),
% 13.50/2.08    inference(contradiction_clause,[status(thm)],[f16327])).
% 13.50/2.08  fof(f17273,plain,(
% 13.50/2.08    $false|spl0_713|~spl0_85|~spl0_101|~spl0_698|~spl0_289),
% 13.50/2.08    inference(forward_subsumption_resolution,[status(thm)],[f14847,f15687])).
% 13.50/2.08  fof(f17274,plain,(
% 13.50/2.08    spl0_713|~spl0_85|~spl0_101|~spl0_698|~spl0_289),
% 13.50/2.08    inference(contradiction_clause,[status(thm)],[f17273])).
% 13.50/2.08  fof(f17275,plain,(
% 13.50/2.08    $false),
% 13.50/2.08    inference(sat_refutation,[status(thm)],[f134,f148,f524,f651,f853,f1044,f3260,f3399,f3403,f4031,f4157,f6685,f7606,f7609,f7640,f11934,f14340,f14724,f14833,f15689,f16328,f17274])).
% 13.50/2.08  % SZS output end CNFRefutation for theBenchmark.p
% 13.50/2.09  % Elapsed time: 1.736596 seconds
% 13.50/2.09  % CPU time: 13.608991 seconds
% 13.50/2.09  % Memory used: 244.204 MB
%------------------------------------------------------------------------------