TSTP Solution File: HAL006+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : HAL006+1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:12:44 EDT 2023
% Result : Theorem 43.98s 5.82s
% Output : CNFRefutation 44.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.06 % Problem : HAL006+1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n017.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 30 10:30:55 EDT 2023
% 0.06/0.25 % CPUTime :
% 0.06/0.25 % Drodi V3.5.1
% 43.98/5.82 % Refutation found
% 43.98/5.82 % SZS status Theorem for theBenchmark: Theorem is valid
% 43.98/5.82 % SZS output start CNFRefutation for theBenchmark
% 43.98/5.82 fof(f1,axiom,(
% 43.98/5.82 (! [Morphism,Dom,Cod] :( morphism(Morphism,Dom,Cod)=> ( (! [El] :( element(El,Dom)=> element(apply(Morphism,El),Cod) ))& apply(Morphism,zero(Dom)) = zero(Cod) ) ) )),
% 43.98/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.98/5.82 fof(f10,axiom,(
% 43.98/5.82 (! [Dom,El1,El2] :( ( element(El1,Dom)& element(El2,Dom) )=> element(subtract(Dom,El1,El2),Dom) ) )),
% 43.98/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.98/5.82 fof(f11,axiom,(
% 43.98/5.82 (! [Dom,El] :( element(El,Dom)=> subtract(Dom,El,El) = zero(Dom) ) )),
% 43.98/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.98/5.82 fof(f12,axiom,(
% 43.98/5.82 (! [Dom,El1,El2] :( ( element(El1,Dom)& element(El2,Dom) )=> subtract(Dom,El1,subtract(Dom,El1,El2)) = El2 ) )),
% 43.98/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.98/5.82 fof(f13,axiom,(
% 43.98/5.82 (! [Morphism,Dom,Cod] :( morphism(Morphism,Dom,Cod)=> (! [El1,El2] :( ( element(El1,Dom)& element(El2,Dom) )=> apply(Morphism,subtract(Dom,El1,El2)) = subtract(Cod,apply(Morphism,El1),apply(Morphism,El2)) ) )) )),
% 43.98/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.98/5.82 fof(f14,axiom,(
% 43.98/5.82 morphism(alpha,a,b) ),
% 43.98/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.98/5.82 fof(f15,axiom,(
% 43.98/5.82 morphism(beta,b,c) ),
% 43.98/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.98/5.82 fof(f16,axiom,(
% 43.98/5.82 morphism(gamma,d,e) ),
% 43.98/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.98/5.82 fof(f17,axiom,(
% 43.98/5.82 morphism(delta,e,r) ),
% 43.98/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.98/5.82 fof(f18,axiom,(
% 43.98/5.82 morphism(f,a,d) ),
% 43.98/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.98/5.82 fof(f19,axiom,(
% 43.98/5.82 morphism(g,b,e) ),
% 43.98/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.98/5.82 fof(f20,axiom,(
% 43.98/5.82 morphism(h,c,r) ),
% 43.98/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.98/5.82 fof(f25,axiom,(
% 43.98/5.82 exact(alpha,beta) ),
% 43.98/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.98/5.82 fof(f29,hypothesis,(
% 43.98/5.82 surjection(f) ),
% 43.98/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.98/5.82 fof(f31,axiom,(
% 43.98/5.82 (! [E] :( element(E,e)=> (? [R,B1] :( element(R,r)& apply(delta,E) = R& element(B1,b)& apply(h,apply(beta,B1)) = R& apply(delta,apply(g,B1)) = R ) )) )),
% 43.98/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.98/5.82 fof(f32,axiom,(
% 43.98/5.82 (! [E] :( element(E,e)=> (? [B1,E1,A] :( element(B1,b)& element(E1,e)& subtract(e,apply(g,B1),E) = E1& element(A,a)& apply(gamma,apply(f,A)) = E1& apply(g,apply(alpha,A)) = E1 ) )) )),
% 43.98/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.98/5.82 fof(f33,conjecture,(
% 43.98/5.82 (! [E] :( element(E,e)=> (? [B1,B2] :( element(B1,b)& element(B2,b)& apply(g,subtract(b,B1,B2)) = E ) )) )),
% 43.98/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.98/5.82 fof(f34,negated_conjecture,(
% 43.98/5.82 ~((! [E] :( element(E,e)=> (? [B1,B2] :( element(B1,b)& element(B2,b)& apply(g,subtract(b,B1,B2)) = E ) )) ))),
% 43.98/5.82 inference(negated_conjecture,[status(cth)],[f33])).
% 43.98/5.82 fof(f35,plain,(
% 43.98/5.82 ![Morphism,Dom,Cod]: (~morphism(Morphism,Dom,Cod)|((![El]: (~element(El,Dom)|element(apply(Morphism,El),Cod)))&apply(Morphism,zero(Dom))=zero(Cod)))),
% 43.98/5.82 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 43.98/5.82 fof(f36,plain,(
% 43.98/5.82 ![X0,X1,X2,X3]: (~morphism(X0,X1,X2)|~element(X3,X1)|element(apply(X0,X3),X2))),
% 43.98/5.82 inference(cnf_transformation,[status(esa)],[f35])).
% 43.98/5.82 fof(f37,plain,(
% 43.98/5.82 ![X0,X1,X2]: (~morphism(X0,X1,X2)|apply(X0,zero(X1))=zero(X2))),
% 43.98/5.82 inference(cnf_transformation,[status(esa)],[f35])).
% 43.98/5.82 fof(f82,plain,(
% 43.98/5.82 ![Dom,El1,El2]: ((~element(El1,Dom)|~element(El2,Dom))|element(subtract(Dom,El1,El2),Dom))),
% 43.98/5.82 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 43.98/5.82 fof(f83,plain,(
% 43.98/5.82 ![X0,X1,X2]: (~element(X0,X1)|~element(X2,X1)|element(subtract(X1,X0,X2),X1))),
% 43.98/5.82 inference(cnf_transformation,[status(esa)],[f82])).
% 43.98/5.82 fof(f84,plain,(
% 43.98/5.82 ![Dom,El]: (~element(El,Dom)|subtract(Dom,El,El)=zero(Dom))),
% 43.98/5.82 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 43.98/5.82 fof(f85,plain,(
% 43.98/5.82 ![X0,X1]: (~element(X0,X1)|subtract(X1,X0,X0)=zero(X1))),
% 43.98/5.82 inference(cnf_transformation,[status(esa)],[f84])).
% 44.07/5.83 fof(f86,plain,(
% 44.07/5.83 ![Dom,El1,El2]: ((~element(El1,Dom)|~element(El2,Dom))|subtract(Dom,El1,subtract(Dom,El1,El2))=El2)),
% 44.07/5.83 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 44.07/5.83 fof(f87,plain,(
% 44.07/5.83 ![X0,X1,X2]: (~element(X0,X1)|~element(X2,X1)|subtract(X1,X0,subtract(X1,X0,X2))=X2)),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f86])).
% 44.07/5.83 fof(f88,plain,(
% 44.07/5.83 ![Morphism,Dom,Cod]: (~morphism(Morphism,Dom,Cod)|(![El1,El2]: ((~element(El1,Dom)|~element(El2,Dom))|apply(Morphism,subtract(Dom,El1,El2))=subtract(Cod,apply(Morphism,El1),apply(Morphism,El2)))))),
% 44.07/5.83 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 44.07/5.83 fof(f89,plain,(
% 44.07/5.83 ![X0,X1,X2,X3,X4]: (~morphism(X0,X1,X2)|~element(X3,X1)|~element(X4,X1)|apply(X0,subtract(X1,X3,X4))=subtract(X2,apply(X0,X3),apply(X0,X4)))),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f88])).
% 44.07/5.83 fof(f90,plain,(
% 44.07/5.83 morphism(alpha,a,b)),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f14])).
% 44.07/5.83 fof(f91,plain,(
% 44.07/5.83 morphism(beta,b,c)),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f15])).
% 44.07/5.83 fof(f92,plain,(
% 44.07/5.83 morphism(gamma,d,e)),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f16])).
% 44.07/5.83 fof(f93,plain,(
% 44.07/5.83 morphism(delta,e,r)),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f17])).
% 44.07/5.83 fof(f94,plain,(
% 44.07/5.83 morphism(f,a,d)),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f18])).
% 44.07/5.83 fof(f95,plain,(
% 44.07/5.83 morphism(g,b,e)),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f19])).
% 44.07/5.83 fof(f96,plain,(
% 44.07/5.83 morphism(h,c,r)),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f20])).
% 44.07/5.83 fof(f101,plain,(
% 44.07/5.83 exact(alpha,beta)),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f25])).
% 44.07/5.83 fof(f105,plain,(
% 44.07/5.83 surjection(f)),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f29])).
% 44.07/5.83 fof(f107,plain,(
% 44.07/5.83 ![E]: (~element(E,e)|(?[R,B1]: ((((element(R,r)&apply(delta,E)=R)&element(B1,b))&apply(h,apply(beta,B1))=R)&apply(delta,apply(g,B1))=R)))),
% 44.07/5.83 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 44.07/5.83 fof(f108,plain,(
% 44.07/5.83 ![E]: (~element(E,e)|((((element(sk0_8(E),r)&apply(delta,E)=sk0_8(E))&element(sk0_9(E),b))&apply(h,apply(beta,sk0_9(E)))=sk0_8(E))&apply(delta,apply(g,sk0_9(E)))=sk0_8(E)))),
% 44.07/5.83 inference(skolemization,[status(esa)],[f107])).
% 44.07/5.83 fof(f110,plain,(
% 44.07/5.83 ![X0]: (~element(X0,e)|apply(delta,X0)=sk0_8(X0))),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f108])).
% 44.07/5.83 fof(f111,plain,(
% 44.07/5.83 ![X0]: (~element(X0,e)|element(sk0_9(X0),b))),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f108])).
% 44.07/5.83 fof(f112,plain,(
% 44.07/5.83 ![X0]: (~element(X0,e)|apply(h,apply(beta,sk0_9(X0)))=sk0_8(X0))),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f108])).
% 44.07/5.83 fof(f114,plain,(
% 44.07/5.83 ![E]: (~element(E,e)|(?[B1,E1,A]: (((((element(B1,b)&element(E1,e))&subtract(e,apply(g,B1),E)=E1)&element(A,a))&apply(gamma,apply(f,A))=E1)&apply(g,apply(alpha,A))=E1)))),
% 44.07/5.83 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 44.07/5.83 fof(f115,plain,(
% 44.07/5.83 ![E]: (~element(E,e)|(?[E1,A]: ((((?[B1]: ((element(B1,b)&element(E1,e))&subtract(e,apply(g,B1),E)=E1))&element(A,a))&apply(gamma,apply(f,A))=E1)&apply(g,apply(alpha,A))=E1)))),
% 44.07/5.83 inference(miniscoping,[status(esa)],[f114])).
% 44.07/5.83 fof(f116,plain,(
% 44.07/5.83 ![E]: (~element(E,e)|(((((element(sk0_12(E),b)&element(sk0_10(E),e))&subtract(e,apply(g,sk0_12(E)),E)=sk0_10(E))&element(sk0_11(E),a))&apply(gamma,apply(f,sk0_11(E)))=sk0_10(E))&apply(g,apply(alpha,sk0_11(E)))=sk0_10(E)))),
% 44.07/5.83 inference(skolemization,[status(esa)],[f115])).
% 44.07/5.83 fof(f117,plain,(
% 44.07/5.83 ![X0]: (~element(X0,e)|element(sk0_12(X0),b))),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f116])).
% 44.07/5.83 fof(f118,plain,(
% 44.07/5.83 ![X0]: (~element(X0,e)|element(sk0_10(X0),e))),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f116])).
% 44.07/5.83 fof(f119,plain,(
% 44.07/5.83 ![X0]: (~element(X0,e)|subtract(e,apply(g,sk0_12(X0)),X0)=sk0_10(X0))),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f116])).
% 44.07/5.83 fof(f120,plain,(
% 44.07/5.83 ![X0]: (~element(X0,e)|element(sk0_11(X0),a))),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f116])).
% 44.07/5.83 fof(f122,plain,(
% 44.07/5.83 ![X0]: (~element(X0,e)|apply(g,apply(alpha,sk0_11(X0)))=sk0_10(X0))),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f116])).
% 44.07/5.83 fof(f123,plain,(
% 44.07/5.83 (?[E]: (element(E,e)&(![B1,B2]: ((~element(B1,b)|~element(B2,b))|~apply(g,subtract(b,B1,B2))=E))))),
% 44.07/5.83 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 44.07/5.83 fof(f124,plain,(
% 44.07/5.83 (element(sk0_13,e)&(![B1,B2]: ((~element(B1,b)|~element(B2,b))|~apply(g,subtract(b,B1,B2))=sk0_13)))),
% 44.07/5.83 inference(skolemization,[status(esa)],[f123])).
% 44.07/5.83 fof(f125,plain,(
% 44.07/5.83 element(sk0_13,e)),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f124])).
% 44.07/5.83 fof(f126,plain,(
% 44.07/5.83 ![X0,X1]: (~element(X0,b)|~element(X1,b)|~apply(g,subtract(b,X0,X1))=sk0_13)),
% 44.07/5.83 inference(cnf_transformation,[status(esa)],[f124])).
% 44.07/5.83 fof(f134,plain,(
% 44.07/5.83 subtract(e,sk0_13,sk0_13)=zero(e)),
% 44.07/5.83 inference(resolution,[status(thm)],[f85,f125])).
% 44.07/5.83 fof(f135,plain,(
% 44.07/5.83 ![X0]: (~element(X0,b)|element(apply(g,X0),e))),
% 44.07/5.83 inference(resolution,[status(thm)],[f36,f95])).
% 44.07/5.83 fof(f136,plain,(
% 44.07/5.83 ![X0]: (~element(X0,e)|element(subtract(e,sk0_13,X0),e))),
% 44.07/5.83 inference(resolution,[status(thm)],[f83,f125])).
% 44.07/5.83 fof(f137,plain,(
% 44.07/5.83 element(subtract(e,sk0_13,sk0_13),e)),
% 44.07/5.83 inference(resolution,[status(thm)],[f136,f125])).
% 44.07/5.83 fof(f138,plain,(
% 44.07/5.83 element(zero(e),e)),
% 44.07/5.83 inference(forward_demodulation,[status(thm)],[f134,f137])).
% 44.07/5.83 fof(f147,plain,(
% 44.07/5.83 ![X0]: (~element(X0,e)|subtract(e,X0,subtract(e,X0,sk0_13))=sk0_13)),
% 44.07/5.83 inference(resolution,[status(thm)],[f87,f125])).
% 44.07/5.83 fof(f162,plain,(
% 44.07/5.83 ![X0,X1]: (~element(X0,b)|~element(X1,b)|apply(g,subtract(b,X0,X1))=subtract(e,apply(g,X0),apply(g,X1)))),
% 44.07/5.83 inference(resolution,[status(thm)],[f89,f95])).
% 44.07/5.83 fof(f164,plain,(
% 44.07/5.83 ![X0]: (~element(X0,a)|element(apply(alpha,X0),b))),
% 44.07/5.83 inference(resolution,[status(thm)],[f90,f36])).
% 44.07/5.83 fof(f165,plain,(
% 44.07/5.83 ![X0,X1]: (~element(X0,b)|~element(X1,b)|apply(beta,subtract(b,X0,X1))=subtract(c,apply(beta,X0),apply(beta,X1)))),
% 44.07/5.83 inference(resolution,[status(thm)],[f91,f89])).
% 44.07/5.83 fof(f166,plain,(
% 44.07/5.83 ![X0]: (~element(X0,b)|element(apply(beta,X0),c))),
% 44.07/5.83 inference(resolution,[status(thm)],[f91,f36])).
% 44.07/5.83 fof(f172,plain,(
% 44.07/5.83 ![X0]: (~element(X0,a)|element(apply(f,X0),d))),
% 44.07/5.83 inference(resolution,[status(thm)],[f94,f36])).
% 44.07/5.83 fof(f175,plain,(
% 44.07/5.83 apply(h,zero(c))=zero(r)),
% 44.07/5.83 inference(resolution,[status(thm)],[f37,f96])).
% 44.07/5.83 fof(f176,plain,(
% 44.07/5.83 apply(f,zero(a))=zero(d)),
% 44.07/5.83 inference(resolution,[status(thm)],[f37,f94])).
% 44.07/5.83 fof(f177,plain,(
% 44.07/5.83 apply(delta,zero(e))=zero(r)),
% 44.07/5.83 inference(resolution,[status(thm)],[f37,f93])).
% 44.07/5.83 fof(f284,plain,(
% 44.07/5.83 spl0_24 <=> surjection(f)),
% 44.07/5.83 introduced(split_symbol_definition)).
% 44.07/5.83 fof(f286,plain,(
% 44.07/5.83 ~surjection(f)|spl0_24),
% 44.07/5.83 inference(component_clause,[status(thm)],[f284])).
% 44.07/5.83 fof(f589,plain,(
% 44.07/5.83 spl0_77 <=> exact(alpha,beta)),
% 44.07/5.83 introduced(split_symbol_definition)).
% 44.07/5.83 fof(f591,plain,(
% 44.07/5.83 ~exact(alpha,beta)|spl0_77),
% 44.07/5.83 inference(component_clause,[status(thm)],[f589])).
% 44.07/5.83 fof(f1220,plain,(
% 44.07/5.83 element(sk0_9(sk0_13),b)),
% 44.07/5.83 inference(resolution,[status(thm)],[f111,f125])).
% 44.07/5.83 fof(f1221,plain,(
% 44.07/5.83 ![X0]: (~element(X0,b)|apply(beta,subtract(b,X0,sk0_9(sk0_13)))=subtract(c,apply(beta,X0),apply(beta,sk0_9(sk0_13))))),
% 44.07/5.83 inference(resolution,[status(thm)],[f1220,f165])).
% 44.07/5.83 fof(f1222,plain,(
% 44.07/5.83 element(apply(beta,sk0_9(sk0_13)),c)),
% 44.07/5.83 inference(resolution,[status(thm)],[f1220,f166])).
% 44.07/5.83 fof(f1224,plain,(
% 44.07/5.83 element(apply(g,sk0_9(sk0_13)),e)),
% 44.07/5.83 inference(resolution,[status(thm)],[f1220,f135])).
% 44.07/5.83 fof(f1226,plain,(
% 44.07/5.83 ![X0]: (~element(X0,b)|element(subtract(b,sk0_9(sk0_13),X0),b))),
% 44.07/5.83 inference(resolution,[status(thm)],[f1220,f83])).
% 44.07/5.83 fof(f1227,plain,(
% 44.07/5.83 subtract(b,sk0_9(sk0_13),sk0_9(sk0_13))=zero(b)),
% 44.07/5.83 inference(resolution,[status(thm)],[f1220,f85])).
% 44.07/5.83 fof(f1309,plain,(
% 44.07/5.83 subtract(c,apply(beta,sk0_9(sk0_13)),apply(beta,sk0_9(sk0_13)))=zero(c)),
% 44.07/5.83 inference(resolution,[status(thm)],[f1222,f85])).
% 44.07/5.83 fof(f1402,plain,(
% 44.07/5.83 element(subtract(b,sk0_9(sk0_13),sk0_9(sk0_13)),b)),
% 44.07/5.83 inference(resolution,[status(thm)],[f1226,f1220])).
% 44.07/5.83 fof(f1403,plain,(
% 44.07/5.83 element(zero(b),b)),
% 44.07/5.83 inference(forward_demodulation,[status(thm)],[f1227,f1402])).
% 44.07/5.83 fof(f1406,plain,(
% 44.07/5.83 element(apply(beta,zero(b)),c)),
% 44.07/5.83 inference(resolution,[status(thm)],[f1403,f166])).
% 44.07/5.83 fof(f1429,plain,(
% 44.07/5.83 apply(beta,subtract(b,sk0_9(sk0_13),sk0_9(sk0_13)))=subtract(c,apply(beta,sk0_9(sk0_13)),apply(beta,sk0_9(sk0_13)))),
% 44.07/5.83 inference(resolution,[status(thm)],[f1221,f1220])).
% 44.07/5.83 fof(f1430,plain,(
% 44.07/5.83 apply(beta,zero(b))=subtract(c,apply(beta,sk0_9(sk0_13)),apply(beta,sk0_9(sk0_13)))),
% 44.07/5.84 inference(forward_demodulation,[status(thm)],[f1227,f1429])).
% 44.07/5.84 fof(f1849,plain,(
% 44.07/5.84 apply(beta,zero(b))=zero(c)),
% 44.07/5.84 inference(forward_demodulation,[status(thm)],[f1309,f1430])).
% 44.07/5.84 fof(f1850,plain,(
% 44.07/5.84 element(zero(c),c)),
% 44.07/5.84 inference(backward_demodulation,[status(thm)],[f1849,f1406])).
% 44.07/5.84 fof(f3062,plain,(
% 44.07/5.84 element(sk0_12(sk0_13),b)),
% 44.07/5.84 inference(resolution,[status(thm)],[f117,f125])).
% 44.07/5.84 fof(f3077,plain,(
% 44.07/5.84 element(subtract(b,sk0_9(sk0_13),sk0_12(sk0_13)),b)),
% 44.07/5.84 inference(resolution,[status(thm)],[f3062,f1226])).
% 44.07/5.84 fof(f3081,plain,(
% 44.07/5.84 element(apply(g,sk0_12(sk0_13)),e)),
% 44.07/5.84 inference(resolution,[status(thm)],[f3062,f135])).
% 44.07/5.84 fof(f3148,plain,(
% 44.07/5.84 element(sk0_10(sk0_13),e)),
% 44.07/5.84 inference(resolution,[status(thm)],[f118,f125])).
% 44.07/5.84 fof(f3150,plain,(
% 44.07/5.84 element(sk0_12(sk0_10(sk0_13)),b)),
% 44.07/5.84 inference(resolution,[status(thm)],[f3148,f117])).
% 44.07/5.84 fof(f3156,plain,(
% 44.07/5.84 element(sk0_9(sk0_10(sk0_13)),b)),
% 44.07/5.84 inference(resolution,[status(thm)],[f3148,f111])).
% 44.07/5.84 fof(f3235,plain,(
% 44.07/5.84 ![X0]: (~element(X0,b)|element(subtract(b,sk0_12(sk0_10(sk0_13)),X0),b))),
% 44.07/5.84 inference(resolution,[status(thm)],[f3150,f83])).
% 44.07/5.84 fof(f3257,plain,(
% 44.07/5.84 ![X0]: (~element(X0,b)|element(subtract(b,sk0_9(sk0_10(sk0_13)),X0),b))),
% 44.07/5.84 inference(resolution,[status(thm)],[f3156,f83])).
% 44.07/5.84 fof(f3272,plain,(
% 44.07/5.84 element(sk0_11(sk0_10(sk0_13)),a)),
% 44.07/5.84 inference(resolution,[status(thm)],[f120,f3148])).
% 44.07/5.84 fof(f3314,plain,(
% 44.07/5.84 element(sk0_11(sk0_13),a)),
% 44.07/5.84 inference(resolution,[status(thm)],[f120,f125])).
% 44.07/5.84 fof(f3317,plain,(
% 44.07/5.84 element(apply(alpha,sk0_11(sk0_13)),b)),
% 44.07/5.84 inference(resolution,[status(thm)],[f3314,f164])).
% 44.07/5.84 fof(f3319,plain,(
% 44.07/5.84 ![X0]: (~element(X0,a)|element(subtract(a,sk0_11(sk0_13),X0),a))),
% 44.07/5.84 inference(resolution,[status(thm)],[f3314,f83])).
% 44.07/5.84 fof(f3320,plain,(
% 44.07/5.84 subtract(a,sk0_11(sk0_13),sk0_11(sk0_13))=zero(a)),
% 44.07/5.84 inference(resolution,[status(thm)],[f3314,f85])).
% 44.07/5.84 fof(f3334,plain,(
% 44.07/5.84 element(apply(alpha,sk0_11(sk0_10(sk0_13))),b)),
% 44.07/5.84 inference(resolution,[status(thm)],[f3272,f164])).
% 44.07/5.84 fof(f3370,plain,(
% 44.07/5.84 subtract(e,apply(g,sk0_12(sk0_13)),subtract(e,apply(g,sk0_12(sk0_13)),sk0_13))=sk0_13),
% 44.07/5.84 inference(resolution,[status(thm)],[f3081,f147])).
% 44.07/5.84 fof(f3577,plain,(
% 44.07/5.84 ![X0]: (~element(X0,b)|apply(g,subtract(b,X0,apply(alpha,sk0_11(sk0_13))))=subtract(e,apply(g,X0),apply(g,apply(alpha,sk0_11(sk0_13)))))),
% 44.07/5.84 inference(resolution,[status(thm)],[f3317,f162])).
% 44.07/5.84 fof(f3580,plain,(
% 44.07/5.84 ![X0]: (~element(X0,b)|element(subtract(b,apply(alpha,sk0_11(sk0_13)),X0),b))),
% 44.07/5.84 inference(resolution,[status(thm)],[f3317,f83])).
% 44.07/5.84 fof(f4399,plain,(
% 44.07/5.84 spl0_109 <=> element(sk0_12(sk0_13),b)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f4401,plain,(
% 44.07/5.84 ~element(sk0_12(sk0_13),b)|spl0_109),
% 44.07/5.84 inference(component_clause,[status(thm)],[f4399])).
% 44.07/5.84 fof(f4404,plain,(
% 44.07/5.84 $false|spl0_109),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f4401,f3062])).
% 44.07/5.84 fof(f4405,plain,(
% 44.07/5.84 spl0_109),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f4404])).
% 44.07/5.84 fof(f4764,plain,(
% 44.07/5.84 element(subtract(a,sk0_11(sk0_13),sk0_11(sk0_13)),a)),
% 44.07/5.84 inference(resolution,[status(thm)],[f3319,f3314])).
% 44.07/5.84 fof(f6528,plain,(
% 44.07/5.84 element(zero(a),a)),
% 44.07/5.84 inference(forward_demodulation,[status(thm)],[f3320,f4764])).
% 44.07/5.84 fof(f6532,plain,(
% 44.07/5.84 element(apply(f,zero(a)),d)),
% 44.07/5.84 inference(resolution,[status(thm)],[f6528,f172])).
% 44.07/5.84 fof(f6619,plain,(
% 44.07/5.84 element(zero(d),d)),
% 44.07/5.84 inference(backward_demodulation,[status(thm)],[f176,f6532])).
% 44.07/5.84 fof(f8305,plain,(
% 44.07/5.84 element(subtract(b,sk0_12(sk0_10(sk0_13)),sk0_12(sk0_13)),b)),
% 44.07/5.84 inference(resolution,[status(thm)],[f3235,f3062])).
% 44.07/5.84 fof(f10026,plain,(
% 44.07/5.84 element(subtract(b,sk0_9(sk0_10(sk0_13)),sk0_12(sk0_13)),b)),
% 44.07/5.84 inference(resolution,[status(thm)],[f3257,f3062])).
% 44.07/5.84 fof(f11090,plain,(
% 44.07/5.84 apply(delta,zero(e))=sk0_8(zero(e))),
% 44.07/5.84 inference(resolution,[status(thm)],[f110,f138])).
% 44.07/5.84 fof(f11091,plain,(
% 44.07/5.84 zero(r)=sk0_8(zero(e))),
% 44.07/5.84 inference(forward_demodulation,[status(thm)],[f177,f11090])).
% 44.07/5.84 fof(f11415,plain,(
% 44.07/5.84 apply(h,apply(beta,sk0_9(zero(e))))=sk0_8(zero(e))),
% 44.07/5.84 inference(resolution,[status(thm)],[f112,f138])).
% 44.07/5.84 fof(f11416,plain,(
% 44.07/5.84 apply(h,apply(beta,sk0_9(zero(e))))=zero(r)),
% 44.07/5.84 inference(forward_demodulation,[status(thm)],[f11091,f11415])).
% 44.07/5.84 fof(f15266,plain,(
% 44.07/5.84 subtract(e,apply(g,sk0_12(sk0_13)),sk0_13)=sk0_10(sk0_13)),
% 44.07/5.84 inference(resolution,[status(thm)],[f119,f125])).
% 44.07/5.84 fof(f15520,plain,(
% 44.07/5.84 apply(g,apply(alpha,sk0_11(sk0_13)))=sk0_10(sk0_13)),
% 44.07/5.84 inference(resolution,[status(thm)],[f122,f125])).
% 44.07/5.84 fof(f15963,plain,(
% 44.07/5.84 subtract(e,apply(g,sk0_12(sk0_13)),sk0_10(sk0_13))=sk0_13),
% 44.07/5.84 inference(backward_demodulation,[status(thm)],[f15266,f3370])).
% 44.07/5.84 fof(f20463,plain,(
% 44.07/5.84 spl0_190 <=> element(apply(alpha,sk0_11(sk0_13)),b)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f20465,plain,(
% 44.07/5.84 ~element(apply(alpha,sk0_11(sk0_13)),b)|spl0_190),
% 44.07/5.84 inference(component_clause,[status(thm)],[f20463])).
% 44.07/5.84 fof(f20466,plain,(
% 44.07/5.84 spl0_191 <=> element(subtract(b,apply(alpha,sk0_11(sk0_13)),sk0_9(sk0_13)),b)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f20468,plain,(
% 44.07/5.84 ~element(subtract(b,apply(alpha,sk0_11(sk0_13)),sk0_9(sk0_13)),b)|spl0_191),
% 44.07/5.84 inference(component_clause,[status(thm)],[f20466])).
% 44.07/5.84 fof(f20471,plain,(
% 44.07/5.84 $false|spl0_190),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f20465,f3317])).
% 44.07/5.84 fof(f20472,plain,(
% 44.07/5.84 spl0_190),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f20471])).
% 44.07/5.84 fof(f20679,plain,(
% 44.07/5.84 ![X0]: (~element(X0,b)|apply(g,subtract(b,X0,apply(alpha,sk0_11(sk0_13))))=subtract(e,apply(g,X0),sk0_10(sk0_13)))),
% 44.07/5.84 inference(forward_demodulation,[status(thm)],[f15520,f3577])).
% 44.07/5.84 fof(f20739,plain,(
% 44.07/5.84 apply(g,subtract(b,sk0_12(sk0_13),apply(alpha,sk0_11(sk0_13))))=subtract(e,apply(g,sk0_12(sk0_13)),sk0_10(sk0_13))),
% 44.07/5.84 inference(resolution,[status(thm)],[f20679,f3062])).
% 44.07/5.84 fof(f20740,plain,(
% 44.07/5.84 apply(g,subtract(b,sk0_12(sk0_13),apply(alpha,sk0_11(sk0_13))))=sk0_13),
% 44.07/5.84 inference(forward_demodulation,[status(thm)],[f15963,f20739])).
% 44.07/5.84 fof(f22472,plain,(
% 44.07/5.84 element(subtract(b,apply(alpha,sk0_11(sk0_13)),sk0_12(sk0_13)),b)),
% 44.07/5.84 inference(resolution,[status(thm)],[f3580,f3062])).
% 44.07/5.84 fof(f22549,plain,(
% 44.07/5.84 element(subtract(b,apply(alpha,sk0_11(sk0_13)),sk0_9(sk0_13)),b)),
% 44.07/5.84 inference(resolution,[status(thm)],[f3580,f1220])).
% 44.07/5.84 fof(f24624,plain,(
% 44.07/5.84 spl0_204 <=> element(subtract(b,sk0_12(sk0_10(sk0_13)),sk0_12(sk0_13)),b)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f24626,plain,(
% 44.07/5.84 ~element(subtract(b,sk0_12(sk0_10(sk0_13)),sk0_12(sk0_13)),b)|spl0_204),
% 44.07/5.84 inference(component_clause,[status(thm)],[f24624])).
% 44.07/5.84 fof(f24632,plain,(
% 44.07/5.84 $false|spl0_204),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f24626,f8305])).
% 44.07/5.84 fof(f24633,plain,(
% 44.07/5.84 spl0_204),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f24632])).
% 44.07/5.84 fof(f24640,plain,(
% 44.07/5.84 spl0_206 <=> element(subtract(b,apply(alpha,sk0_11(sk0_13)),sk0_12(sk0_13)),b)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f24642,plain,(
% 44.07/5.84 ~element(subtract(b,apply(alpha,sk0_11(sk0_13)),sk0_12(sk0_13)),b)|spl0_206),
% 44.07/5.84 inference(component_clause,[status(thm)],[f24640])).
% 44.07/5.84 fof(f24645,plain,(
% 44.07/5.84 spl0_207 <=> element(subtract(b,sk0_9(sk0_10(sk0_13)),sk0_12(sk0_13)),b)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f24647,plain,(
% 44.07/5.84 ~element(subtract(b,sk0_9(sk0_10(sk0_13)),sk0_12(sk0_13)),b)|spl0_207),
% 44.07/5.84 inference(component_clause,[status(thm)],[f24645])).
% 44.07/5.84 fof(f24650,plain,(
% 44.07/5.84 $false|spl0_207),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f24647,f10026])).
% 44.07/5.84 fof(f24651,plain,(
% 44.07/5.84 spl0_207),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f24650])).
% 44.07/5.84 fof(f26078,plain,(
% 44.07/5.84 spl0_208 <=> element(subtract(b,sk0_9(sk0_13),sk0_12(sk0_13)),b)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f26080,plain,(
% 44.07/5.84 ~element(subtract(b,sk0_9(sk0_13),sk0_12(sk0_13)),b)|spl0_208),
% 44.07/5.84 inference(component_clause,[status(thm)],[f26078])).
% 44.07/5.84 fof(f26083,plain,(
% 44.07/5.84 $false|spl0_208),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f26080,f3077])).
% 44.07/5.84 fof(f26084,plain,(
% 44.07/5.84 spl0_208),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f26083])).
% 44.07/5.84 fof(f27030,plain,(
% 44.07/5.84 spl0_233 <=> morphism(g,b,e)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f27032,plain,(
% 44.07/5.84 ~morphism(g,b,e)|spl0_233),
% 44.07/5.84 inference(component_clause,[status(thm)],[f27030])).
% 44.07/5.84 fof(f27038,plain,(
% 44.07/5.84 $false|spl0_233),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f27032,f95])).
% 44.07/5.84 fof(f27039,plain,(
% 44.07/5.84 spl0_233),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f27038])).
% 44.07/5.84 fof(f28835,plain,(
% 44.07/5.84 spl0_236 <=> element(apply(alpha,sk0_11(sk0_10(sk0_13))),b)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f28837,plain,(
% 44.07/5.84 ~element(apply(alpha,sk0_11(sk0_10(sk0_13))),b)|spl0_236),
% 44.07/5.84 inference(component_clause,[status(thm)],[f28835])).
% 44.07/5.84 fof(f28843,plain,(
% 44.07/5.84 $false|spl0_236),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f28837,f3334])).
% 44.07/5.84 fof(f28844,plain,(
% 44.07/5.84 spl0_236),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f28843])).
% 44.07/5.84 fof(f35237,plain,(
% 44.07/5.84 $false|spl0_77),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f591,f101])).
% 44.07/5.84 fof(f35238,plain,(
% 44.07/5.84 spl0_77),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f35237])).
% 44.07/5.84 fof(f36649,plain,(
% 44.07/5.84 $false|spl0_191),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f22549,f20468])).
% 44.07/5.84 fof(f36650,plain,(
% 44.07/5.84 spl0_191),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f36649])).
% 44.07/5.84 fof(f36708,plain,(
% 44.07/5.84 $false|spl0_206),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f24642,f22472])).
% 44.07/5.84 fof(f36709,plain,(
% 44.07/5.84 spl0_206),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f36708])).
% 44.07/5.84 fof(f67885,plain,(
% 44.07/5.84 $false|spl0_24),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f286,f105])).
% 44.07/5.84 fof(f67886,plain,(
% 44.07/5.84 spl0_24),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f67885])).
% 44.07/5.84 fof(f71048,plain,(
% 44.07/5.84 spl0_460 <=> ~morphism(f,a,X0)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f71049,plain,(
% 44.07/5.84 ![X0]: (~morphism(f,a,X0)|~spl0_460)),
% 44.07/5.84 inference(component_clause,[status(thm)],[f71048])).
% 44.07/5.84 fof(f71058,plain,(
% 44.07/5.84 $false|~spl0_460),
% 44.07/5.84 inference(backward_subsumption_resolution,[status(thm)],[f94,f71049])).
% 44.07/5.84 fof(f71059,plain,(
% 44.07/5.84 ~spl0_460),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f71058])).
% 44.07/5.84 fof(f71127,plain,(
% 44.07/5.84 spl0_462 <=> ~morphism(gamma,d,X0)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f71128,plain,(
% 44.07/5.84 ![X0]: (~morphism(gamma,d,X0)|~spl0_462)),
% 44.07/5.84 inference(component_clause,[status(thm)],[f71127])).
% 44.07/5.84 fof(f71137,plain,(
% 44.07/5.84 $false|~spl0_462),
% 44.07/5.84 inference(backward_subsumption_resolution,[status(thm)],[f92,f71128])).
% 44.07/5.84 fof(f71138,plain,(
% 44.07/5.84 ~spl0_462),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f71137])).
% 44.07/5.84 fof(f76836,plain,(
% 44.07/5.84 spl0_490 <=> morphism(h,c,r)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f76838,plain,(
% 44.07/5.84 ~morphism(h,c,r)|spl0_490),
% 44.07/5.84 inference(component_clause,[status(thm)],[f76836])).
% 44.07/5.84 fof(f76839,plain,(
% 44.07/5.84 spl0_491 <=> element(zero(c),c)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f76841,plain,(
% 44.07/5.84 ~element(zero(c),c)|spl0_491),
% 44.07/5.84 inference(component_clause,[status(thm)],[f76839])).
% 44.07/5.84 fof(f76861,plain,(
% 44.07/5.84 $false|spl0_491),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f76841,f1850])).
% 44.07/5.84 fof(f76862,plain,(
% 44.07/5.84 spl0_491),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f76861])).
% 44.07/5.84 fof(f76863,plain,(
% 44.07/5.84 $false|spl0_490),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f76838,f96])).
% 44.07/5.84 fof(f76864,plain,(
% 44.07/5.84 spl0_490),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f76863])).
% 44.07/5.84 fof(f77659,plain,(
% 44.07/5.84 spl0_504 <=> morphism(delta,e,r)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f77661,plain,(
% 44.07/5.84 ~morphism(delta,e,r)|spl0_504),
% 44.07/5.84 inference(component_clause,[status(thm)],[f77659])).
% 44.07/5.84 fof(f77662,plain,(
% 44.07/5.84 spl0_505 <=> element(sk0_13,e)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f77664,plain,(
% 44.07/5.84 ~element(sk0_13,e)|spl0_505),
% 44.07/5.84 inference(component_clause,[status(thm)],[f77662])).
% 44.07/5.84 fof(f77736,plain,(
% 44.07/5.84 $false|spl0_505),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f77664,f125])).
% 44.07/5.84 fof(f77737,plain,(
% 44.07/5.84 spl0_505),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f77736])).
% 44.07/5.84 fof(f77738,plain,(
% 44.07/5.84 $false|spl0_504),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f77661,f93])).
% 44.07/5.84 fof(f77739,plain,(
% 44.07/5.84 spl0_504),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f77738])).
% 44.07/5.84 fof(f79032,plain,(
% 44.07/5.84 spl0_560 <=> element(apply(g,sk0_9(sk0_13)),e)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f79034,plain,(
% 44.07/5.84 ~element(apply(g,sk0_9(sk0_13)),e)|spl0_560),
% 44.07/5.84 inference(component_clause,[status(thm)],[f79032])).
% 44.07/5.84 fof(f79082,plain,(
% 44.07/5.84 $false|spl0_560),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f79034,f1224])).
% 44.07/5.84 fof(f79083,plain,(
% 44.07/5.84 spl0_560),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f79082])).
% 44.07/5.84 fof(f79102,plain,(
% 44.07/5.84 spl0_576 <=> ~morphism(delta,X0,X1)|~element(apply(g,sk0_9(sk0_13)),X0)|~element(apply(g,sk0_9(sk0_13)),X0)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f79103,plain,(
% 44.07/5.84 ![X0,X1]: (~morphism(delta,X0,X1)|~element(apply(g,sk0_9(sk0_13)),X0)|~element(apply(g,sk0_9(sk0_13)),X0)|~spl0_576)),
% 44.07/5.84 inference(component_clause,[status(thm)],[f79102])).
% 44.07/5.84 fof(f79154,plain,(
% 44.07/5.84 ![X0,X1]: (~morphism(delta,X0,X1)|~element(apply(g,sk0_9(sk0_13)),X0)|~spl0_576)),
% 44.07/5.84 inference(duplicate_literals_removal,[status(esa)],[f79103])).
% 44.07/5.84 fof(f79190,plain,(
% 44.07/5.84 spl0_594 <=> element(apply(beta,sk0_9(sk0_13)),c)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f79192,plain,(
% 44.07/5.84 ~element(apply(beta,sk0_9(sk0_13)),c)|spl0_594),
% 44.07/5.84 inference(component_clause,[status(thm)],[f79190])).
% 44.07/5.84 fof(f79206,plain,(
% 44.07/5.84 $false|spl0_594),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f79192,f1222])).
% 44.07/5.84 fof(f79207,plain,(
% 44.07/5.84 spl0_594),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f79206])).
% 44.07/5.84 fof(f81136,plain,(
% 44.07/5.84 spl0_643 <=> element(zero(e),e)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f81138,plain,(
% 44.07/5.84 ~element(zero(e),e)|spl0_643),
% 44.07/5.84 inference(component_clause,[status(thm)],[f81136])).
% 44.07/5.84 fof(f81186,plain,(
% 44.07/5.84 $false|spl0_643),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f81138,f138])).
% 44.07/5.84 fof(f81187,plain,(
% 44.07/5.84 spl0_643),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f81186])).
% 44.07/5.84 fof(f81200,plain,(
% 44.07/5.84 spl0_658 <=> morphism(gamma,d,e)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f81202,plain,(
% 44.07/5.84 ~morphism(gamma,d,e)|spl0_658),
% 44.07/5.84 inference(component_clause,[status(thm)],[f81200])).
% 44.07/5.84 fof(f81203,plain,(
% 44.07/5.84 spl0_659 <=> element(zero(d),d)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f81205,plain,(
% 44.07/5.84 ~element(zero(d),d)|spl0_659),
% 44.07/5.84 inference(component_clause,[status(thm)],[f81203])).
% 44.07/5.84 fof(f81269,plain,(
% 44.07/5.84 $false|spl0_659),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f81205,f6619])).
% 44.07/5.84 fof(f81270,plain,(
% 44.07/5.84 spl0_659),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f81269])).
% 44.07/5.84 fof(f81271,plain,(
% 44.07/5.84 $false|spl0_658),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f81202,f92])).
% 44.07/5.84 fof(f81272,plain,(
% 44.07/5.84 spl0_658),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f81271])).
% 44.07/5.84 fof(f82645,plain,(
% 44.07/5.84 ![X0]: (~morphism(delta,e,X0)|~spl0_576)),
% 44.07/5.84 inference(resolution,[status(thm)],[f79154,f1224])).
% 44.07/5.84 fof(f82646,plain,(
% 44.07/5.84 $false|~spl0_576),
% 44.07/5.84 inference(backward_subsumption_resolution,[status(thm)],[f93,f82645])).
% 44.07/5.84 fof(f82647,plain,(
% 44.07/5.84 ~spl0_576),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f82646])).
% 44.07/5.84 fof(f83279,plain,(
% 44.07/5.84 spl0_690 <=> ~morphism(delta,e,X0)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f83280,plain,(
% 44.07/5.84 ![X0]: (~morphism(delta,e,X0)|~spl0_690)),
% 44.07/5.84 inference(component_clause,[status(thm)],[f83279])).
% 44.07/5.84 fof(f83284,plain,(
% 44.07/5.84 $false|~spl0_690),
% 44.07/5.84 inference(backward_subsumption_resolution,[status(thm)],[f93,f83280])).
% 44.07/5.84 fof(f83285,plain,(
% 44.07/5.84 ~spl0_690),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f83284])).
% 44.07/5.84 fof(f83400,plain,(
% 44.07/5.84 spl0_701 <=> ~morphism(h,c,X0)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f83401,plain,(
% 44.07/5.84 ![X0]: (~morphism(h,c,X0)|~spl0_701)),
% 44.07/5.84 inference(component_clause,[status(thm)],[f83400])).
% 44.07/5.84 fof(f83408,plain,(
% 44.07/5.84 $false|~spl0_701),
% 44.07/5.84 inference(backward_subsumption_resolution,[status(thm)],[f96,f83401])).
% 44.07/5.84 fof(f83409,plain,(
% 44.07/5.84 ~spl0_701),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f83408])).
% 44.07/5.84 fof(f86120,plain,(
% 44.07/5.84 spl0_707 <=> ~morphism(beta,b,X0)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f86121,plain,(
% 44.07/5.84 ![X0]: (~morphism(beta,b,X0)|~spl0_707)),
% 44.07/5.84 inference(component_clause,[status(thm)],[f86120])).
% 44.07/5.84 fof(f86130,plain,(
% 44.07/5.84 $false|~spl0_707),
% 44.07/5.84 inference(backward_subsumption_resolution,[status(thm)],[f91,f86121])).
% 44.07/5.84 fof(f86131,plain,(
% 44.07/5.84 ~spl0_707),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f86130])).
% 44.07/5.84 fof(f89628,plain,(
% 44.07/5.84 spl0_739 <=> ~morphism(alpha,X0,X1)|~element(zero(a),X0)|~element(zero(a),X0)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f89629,plain,(
% 44.07/5.84 ![X0,X1]: (~morphism(alpha,X0,X1)|~element(zero(a),X0)|~element(zero(a),X0)|~spl0_739)),
% 44.07/5.84 inference(component_clause,[status(thm)],[f89628])).
% 44.07/5.84 fof(f89641,plain,(
% 44.07/5.84 ![X0,X1]: (~morphism(alpha,X0,X1)|~element(zero(a),X0)|~spl0_739)),
% 44.07/5.84 inference(duplicate_literals_removal,[status(esa)],[f89629])).
% 44.07/5.84 fof(f91261,plain,(
% 44.07/5.84 ![X0]: (~morphism(alpha,a,X0)|~spl0_739)),
% 44.07/5.84 inference(resolution,[status(thm)],[f89641,f6528])).
% 44.07/5.84 fof(f91262,plain,(
% 44.07/5.84 $false|~spl0_739),
% 44.07/5.84 inference(backward_subsumption_resolution,[status(thm)],[f90,f91261])).
% 44.07/5.84 fof(f91263,plain,(
% 44.07/5.84 ~spl0_739),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f91262])).
% 44.07/5.84 fof(f107839,plain,(
% 44.07/5.84 spl0_856 <=> ~morphism(g,b,X0)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f107840,plain,(
% 44.07/5.84 ![X0]: (~morphism(g,b,X0)|~spl0_856)),
% 44.07/5.84 inference(component_clause,[status(thm)],[f107839])).
% 44.07/5.84 fof(f107846,plain,(
% 44.07/5.84 $false|~spl0_856),
% 44.07/5.84 inference(backward_subsumption_resolution,[status(thm)],[f95,f107840])).
% 44.07/5.84 fof(f107847,plain,(
% 44.07/5.84 ~spl0_856),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f107846])).
% 44.07/5.84 fof(f122592,plain,(
% 44.07/5.84 spl0_934 <=> morphism(beta,b,c)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f122594,plain,(
% 44.07/5.84 ~morphism(beta,b,c)|spl0_934),
% 44.07/5.84 inference(component_clause,[status(thm)],[f122592])).
% 44.07/5.84 fof(f122598,plain,(
% 44.07/5.84 $false|spl0_934),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f122594,f91])).
% 44.07/5.84 fof(f122599,plain,(
% 44.07/5.84 spl0_934),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f122598])).
% 44.07/5.84 fof(f127818,plain,(
% 44.07/5.84 spl0_946 <=> morphism(alpha,a,b)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f127820,plain,(
% 44.07/5.84 ~morphism(alpha,a,b)|spl0_946),
% 44.07/5.84 inference(component_clause,[status(thm)],[f127818])).
% 44.07/5.84 fof(f127824,plain,(
% 44.07/5.84 $false|spl0_946),
% 44.07/5.84 inference(forward_subsumption_resolution,[status(thm)],[f127820,f90])).
% 44.07/5.84 fof(f127825,plain,(
% 44.07/5.84 spl0_946),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f127824])).
% 44.07/5.84 fof(f131740,plain,(
% 44.07/5.84 spl0_1908 <=> apply(beta,zero(b))=zero(c)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f131742,plain,(
% 44.07/5.84 ~apply(beta,zero(b))=zero(c)|spl0_1908),
% 44.07/5.84 inference(component_clause,[status(thm)],[f131740])).
% 44.07/5.84 fof(f131774,plain,(
% 44.07/5.84 ~zero(c)=zero(c)|spl0_1908),
% 44.07/5.84 inference(forward_demodulation,[status(thm)],[f1849,f131742])).
% 44.07/5.84 fof(f131775,plain,(
% 44.07/5.84 $false|spl0_1908),
% 44.07/5.84 inference(trivial_equality_resolution,[status(esa)],[f131774])).
% 44.07/5.84 fof(f131776,plain,(
% 44.07/5.84 spl0_1908),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f131775])).
% 44.07/5.84 fof(f132350,plain,(
% 44.07/5.84 spl0_2053 <=> apply(h,apply(beta,sk0_9(zero(e))))=zero(r)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f132352,plain,(
% 44.07/5.84 ~apply(h,apply(beta,sk0_9(zero(e))))=zero(r)|spl0_2053),
% 44.07/5.84 inference(component_clause,[status(thm)],[f132350])).
% 44.07/5.84 fof(f132710,plain,(
% 44.07/5.84 spl0_2143 <=> apply(h,zero(c))=zero(r)),
% 44.07/5.84 introduced(split_symbol_definition)).
% 44.07/5.84 fof(f132712,plain,(
% 44.07/5.84 ~apply(h,zero(c))=zero(r)|spl0_2143),
% 44.07/5.84 inference(component_clause,[status(thm)],[f132710])).
% 44.07/5.84 fof(f132718,plain,(
% 44.07/5.84 ~zero(r)=zero(r)|spl0_2143),
% 44.07/5.84 inference(forward_demodulation,[status(thm)],[f175,f132712])).
% 44.07/5.84 fof(f132719,plain,(
% 44.07/5.84 $false|spl0_2143),
% 44.07/5.84 inference(trivial_equality_resolution,[status(esa)],[f132718])).
% 44.07/5.84 fof(f132720,plain,(
% 44.07/5.84 spl0_2143),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f132719])).
% 44.07/5.84 fof(f132725,plain,(
% 44.07/5.84 ~zero(r)=zero(r)|spl0_2053),
% 44.07/5.84 inference(forward_demodulation,[status(thm)],[f11416,f132352])).
% 44.07/5.84 fof(f132726,plain,(
% 44.07/5.84 $false|spl0_2053),
% 44.07/5.84 inference(trivial_equality_resolution,[status(esa)],[f132725])).
% 44.07/5.84 fof(f132727,plain,(
% 44.07/5.84 spl0_2053),
% 44.07/5.84 inference(contradiction_clause,[status(thm)],[f132726])).
% 44.07/5.84 fof(f133617,plain,(
% 44.07/5.84 ~element(sk0_12(sk0_13),b)|~element(apply(alpha,sk0_11(sk0_13)),b)),
% 44.07/5.84 inference(resolution,[status(thm)],[f20740,f126])).
% 44.07/5.84 fof(f133618,plain,(
% 44.07/5.84 ~spl0_109|~spl0_190),
% 44.07/5.84 inference(split_clause,[status(thm)],[f133617,f4399,f20463])).
% 44.07/5.84 fof(f133636,plain,(
% 44.07/5.84 $false),
% 44.07/5.84 inference(sat_refutation,[status(thm)],[f4405,f20472,f24633,f24651,f26084,f27039,f28844,f35238,f36650,f36709,f67886,f71059,f71138,f76862,f76864,f77737,f77739,f79083,f79207,f81187,f81270,f81272,f82647,f83285,f83409,f86131,f91263,f107847,f122599,f127825,f131776,f132720,f132727,f133618])).
% 44.07/5.84 % SZS output end CNFRefutation for theBenchmark.p
% 44.90/5.97 % Elapsed time: 5.719543 seconds
% 44.90/5.97 % CPU time: 44.892775 seconds
% 44.90/5.97 % Memory used: 613.617 MB
%------------------------------------------------------------------------------