TSTP Solution File: SWW268+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW268+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:49:56 EDT 2024
% Result : Theorem 12.51s 2.09s
% Output : CNFRefutation 13.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWW268+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:32:02 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.20/0.43 % Drodi V3.6.0
% 12.51/2.09 % Refutation found
% 12.51/2.09 % SZS status Theorem for theBenchmark: Theorem is valid
% 12.51/2.09 % SZS output start CNFRefutation for theBenchmark
% 12.51/2.09 fof(f1,axiom,(
% 12.51/2.09 (! [V_g_2,V_f_2] :( (! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x))=> V_f_2 = V_g_2 ) )),
% 12.51/2.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.51/2.09 fof(f2,axiom,(
% 12.51/2.09 v_c____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 12.51/2.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.51/2.09 fof(f3,axiom,(
% 12.51/2.09 (! [V_y] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),V_y) )),
% 12.51/2.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.51/2.09 fof(f4,axiom,(
% 12.51/2.09 (! [V_x,T_a] :( class_Rings_Ocomm__semiring__0(T_a)=> hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_x) = c_Groups_Ozero__class_Ozero(T_a) ) )),
% 12.51/2.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.51/2.09 fof(f5,axiom,(
% 12.51/2.09 (! [V_q_2,V_pa_2,T_a] :( ( class_Int_Oring__char__0(T_a)& class_Rings_Oidom(T_a) )=> ( c_Polynomial_Opoly(T_a,V_pa_2) = c_Polynomial_Opoly(T_a,V_q_2)<=> V_pa_2 = V_q_2 ) ) )),
% 12.51/2.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.51/2.09 fof(f11,axiom,(
% 12.51/2.09 ~ (? [B_a] :( B_a != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)& c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____) = c_Polynomial_OpCons(tc_Complex_Ocomplex,B_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) ) )),
% 12.51/2.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.51/2.09 fof(f335,axiom,(
% 12.51/2.09 (! [V_a,T_a] :( class_Rings_Ocomm__semiring__1(T_a)=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) )),
% 12.51/2.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.51/2.09 fof(f377,axiom,(
% 12.51/2.09 (! [V_a,T_a] :( class_Rings_Ocomm__semiring__1(T_a)=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) )),
% 12.51/2.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.51/2.09 fof(f408,axiom,(
% 12.51/2.09 (! [V_a,T_a] :( class_Rings_Ocomm__semiring__1(T_a)=> c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) )),
% 12.51/2.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.51/2.09 fof(f473,axiom,(
% 12.51/2.09 (! [V_x,V_p,V_a,T_a] :( class_Rings_Ocomm__semiring__0(T_a)=> hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_OpCons(T_a,V_a,V_p)),V_x) = c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x))) ) )),
% 12.51/2.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.51/2.09 fof(f1125,axiom,(
% 12.51/2.09 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 12.51/2.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.51/2.09 fof(f1126,axiom,(
% 12.51/2.09 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 12.51/2.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.51/2.09 fof(f1139,axiom,(
% 12.51/2.09 class_Int_Oring__char__0(tc_Complex_Ocomplex) ),
% 12.51/2.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.51/2.09 fof(f1147,axiom,(
% 12.51/2.09 class_Rings_Oidom(tc_Complex_Ocomplex) ),
% 12.51/2.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.51/2.09 fof(f1214,plain,(
% 12.51/2.09 ![V_g_2,V_f_2]: ((?[B_x]: ~hAPP(V_f_2,B_x)=hAPP(V_g_2,B_x))|V_f_2=V_g_2)),
% 12.51/2.09 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 12.51/2.09 fof(f1215,plain,(
% 12.51/2.09 ![V_g_2,V_f_2]: (~hAPP(V_f_2,sk0_0(V_f_2,V_g_2))=hAPP(V_g_2,sk0_0(V_f_2,V_g_2))|V_f_2=V_g_2)),
% 12.51/2.09 inference(skolemization,[status(esa)],[f1214])).
% 12.51/2.09 fof(f1216,plain,(
% 12.51/2.09 ![X0,X1]: (~hAPP(X0,sk0_0(X0,X1))=hAPP(X1,sk0_0(X0,X1))|X0=X1)),
% 12.51/2.09 inference(cnf_transformation,[status(esa)],[f1215])).
% 12.51/2.09 fof(f1217,plain,(
% 12.51/2.09 ~v_c____=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 12.51/2.09 inference(cnf_transformation,[status(esa)],[f2])).
% 12.51/2.09 fof(f1218,plain,(
% 12.51/2.09 ![X0]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X0))),
% 12.51/2.11 inference(cnf_transformation,[status(esa)],[f3])).
% 12.51/2.11 fof(f1219,plain,(
% 12.51/2.11 ![V_x,T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_x)=c_Groups_Ozero__class_Ozero(T_a))),
% 12.51/2.11 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 12.51/2.11 fof(f1220,plain,(
% 12.51/2.11 ![T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(![V_x]: hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_x)=c_Groups_Ozero__class_Ozero(T_a)))),
% 12.51/2.11 inference(miniscoping,[status(esa)],[f1219])).
% 12.51/2.11 fof(f1221,plain,(
% 12.51/2.11 ![X0,X1]: (~class_Rings_Ocomm__semiring__0(X0)|hAPP(c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1)=c_Groups_Ozero__class_Ozero(X0))),
% 12.51/2.11 inference(cnf_transformation,[status(esa)],[f1220])).
% 12.51/2.11 fof(f1222,plain,(
% 12.51/2.11 ![V_q_2,V_pa_2,T_a]: ((~class_Int_Oring__char__0(T_a)|~class_Rings_Oidom(T_a))|(c_Polynomial_Opoly(T_a,V_pa_2)=c_Polynomial_Opoly(T_a,V_q_2)<=>V_pa_2=V_q_2))),
% 12.51/2.11 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 12.51/2.11 fof(f1223,plain,(
% 12.51/2.11 ![V_q_2,V_pa_2,T_a]: ((~class_Int_Oring__char__0(T_a)|~class_Rings_Oidom(T_a))|((~c_Polynomial_Opoly(T_a,V_pa_2)=c_Polynomial_Opoly(T_a,V_q_2)|V_pa_2=V_q_2)&(c_Polynomial_Opoly(T_a,V_pa_2)=c_Polynomial_Opoly(T_a,V_q_2)|~V_pa_2=V_q_2)))),
% 12.51/2.11 inference(NNF_transformation,[status(esa)],[f1222])).
% 12.51/2.11 fof(f1224,plain,(
% 12.51/2.11 ![T_a]: ((~class_Int_Oring__char__0(T_a)|~class_Rings_Oidom(T_a))|((![V_q_2,V_pa_2]: (~c_Polynomial_Opoly(T_a,V_pa_2)=c_Polynomial_Opoly(T_a,V_q_2)|V_pa_2=V_q_2))&(![V_q_2,V_pa_2]: (c_Polynomial_Opoly(T_a,V_pa_2)=c_Polynomial_Opoly(T_a,V_q_2)|~V_pa_2=V_q_2))))),
% 12.51/2.11 inference(miniscoping,[status(esa)],[f1223])).
% 12.51/2.11 fof(f1225,plain,(
% 12.51/2.11 ![X0,X1,X2]: (~class_Int_Oring__char__0(X0)|~class_Rings_Oidom(X0)|~c_Polynomial_Opoly(X0,X1)=c_Polynomial_Opoly(X0,X2)|X1=X2)),
% 12.51/2.11 inference(cnf_transformation,[status(esa)],[f1224])).
% 12.51/2.11 fof(f1245,plain,(
% 12.51/2.11 (![B_a]: (B_a=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)=c_Polynomial_OpCons(tc_Complex_Ocomplex,B_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))),
% 12.51/2.11 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 12.51/2.11 fof(f1246,plain,(
% 12.51/2.11 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)=c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),
% 12.51/2.11 inference(cnf_transformation,[status(esa)],[f1245])).
% 12.51/2.11 fof(f2341,plain,(
% 12.51/2.11 ![V_a,T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=c_Groups_Ozero__class_Ozero(T_a))),
% 12.51/2.11 inference(pre_NNF_transformation,[status(esa)],[f335])).
% 12.51/2.11 fof(f2342,plain,(
% 12.51/2.11 ![T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|(![V_a]: hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=c_Groups_Ozero__class_Ozero(T_a)))),
% 12.51/2.11 inference(miniscoping,[status(esa)],[f2341])).
% 12.51/2.11 fof(f2343,plain,(
% 12.51/2.11 ![X0,X1]: (~class_Rings_Ocomm__semiring__1(X0)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1)=c_Groups_Ozero__class_Ozero(X0))),
% 12.51/2.11 inference(cnf_transformation,[status(esa)],[f2342])).
% 12.51/2.11 fof(f2465,plain,(
% 12.51/2.11 ![V_a,T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a))),
% 12.51/2.11 inference(pre_NNF_transformation,[status(esa)],[f377])).
% 12.51/2.11 fof(f2466,plain,(
% 12.51/2.11 ![T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|(![V_a]: hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)))),
% 12.51/2.11 inference(miniscoping,[status(esa)],[f2465])).
% 12.51/2.11 fof(f2467,plain,(
% 12.51/2.11 ![X0,X1]: (~class_Rings_Ocomm__semiring__1(X0)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0))=c_Groups_Ozero__class_Ozero(X0))),
% 12.51/2.11 inference(cnf_transformation,[status(esa)],[f2466])).
% 12.51/2.11 fof(f2570,plain,(
% 12.51/2.11 ![V_a,T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=V_a)),
% 12.51/2.11 inference(pre_NNF_transformation,[status(esa)],[f408])).
% 12.51/2.11 fof(f2571,plain,(
% 12.51/2.11 ![T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|(![V_a]: c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=V_a))),
% 12.51/2.11 inference(miniscoping,[status(esa)],[f2570])).
% 12.51/2.11 fof(f2572,plain,(
% 12.51/2.11 ![X0,X1]: (~class_Rings_Ocomm__semiring__1(X0)|c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0))=X1)),
% 12.51/2.11 inference(cnf_transformation,[status(esa)],[f2571])).
% 12.51/2.11 fof(f2799,plain,(
% 12.51/2.11 ![V_x,V_p,V_a,T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_OpCons(T_a,V_a,V_p)),V_x)=c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x))))),
% 12.51/2.11 inference(pre_NNF_transformation,[status(esa)],[f473])).
% 12.51/2.11 fof(f2800,plain,(
% 12.51/2.11 ![T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(![V_x,V_p,V_a]: hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_OpCons(T_a,V_a,V_p)),V_x)=c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)))))),
% 12.51/2.11 inference(miniscoping,[status(esa)],[f2799])).
% 12.51/2.11 fof(f2801,plain,(
% 12.51/2.11 ![X0,X1,X2,X3]: (~class_Rings_Ocomm__semiring__0(X0)|hAPP(c_Polynomial_Opoly(X0,c_Polynomial_OpCons(X0,X1,X2)),X3)=c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),hAPP(c_Polynomial_Opoly(X0,X2),X3))))),
% 12.51/2.11 inference(cnf_transformation,[status(esa)],[f2800])).
% 12.51/2.11 fof(f4569,plain,(
% 12.51/2.11 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)),
% 12.51/2.11 inference(cnf_transformation,[status(esa)],[f1125])).
% 12.51/2.11 fof(f4570,plain,(
% 12.51/2.11 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)),
% 12.51/2.11 inference(cnf_transformation,[status(esa)],[f1126])).
% 12.51/2.11 fof(f4583,plain,(
% 12.51/2.11 class_Int_Oring__char__0(tc_Complex_Ocomplex)),
% 12.51/2.11 inference(cnf_transformation,[status(esa)],[f1139])).
% 12.51/2.11 fof(f4591,plain,(
% 12.51/2.11 class_Rings_Oidom(tc_Complex_Ocomplex)),
% 12.51/2.11 inference(cnf_transformation,[status(esa)],[f1147])).
% 12.51/2.11 fof(f5131,plain,(
% 12.51/2.11 ![X0,X1,X2]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,X1)),X2)=c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),X2))))),
% 12.51/2.11 inference(resolution,[status(thm)],[f4570,f2801])).
% 12.51/2.11 fof(f5135,plain,(
% 12.51/2.11 ![X0]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 12.51/2.11 inference(resolution,[status(thm)],[f4570,f1221])).
% 12.51/2.11 fof(f5177,plain,(
% 12.51/2.11 ![X0]: (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=X0)),
% 12.51/2.11 inference(resolution,[status(thm)],[f2572,f4569])).
% 12.51/2.11 fof(f5295,plain,(
% 12.51/2.11 ![X0]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 12.51/2.11 inference(resolution,[status(thm)],[f2343,f4569])).
% 12.51/2.11 fof(f5301,plain,(
% 12.51/2.11 ![X0]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 12.51/2.11 inference(resolution,[status(thm)],[f2467,f4569])).
% 12.51/2.11 fof(f6517,plain,(
% 12.51/2.11 ![X0,X1]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,X1)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),
% 12.51/2.11 inference(paramodulation,[status(thm)],[f5295,f5131])).
% 12.51/2.11 fof(f6518,plain,(
% 12.51/2.11 ![X0,X1]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,X1)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=X0)),
% 12.51/2.11 inference(forward_demodulation,[status(thm)],[f5177,f6517])).
% 12.51/2.11 fof(f6519,plain,(
% 12.51/2.11 ![X0,X1]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),X1)=c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))),
% 13.29/2.14 inference(paramodulation,[status(thm)],[f5135,f5131])).
% 13.29/2.14 fof(f6520,plain,(
% 13.29/2.14 ![X0,X1]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),X1)=c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),
% 13.29/2.14 inference(forward_demodulation,[status(thm)],[f5301,f6519])).
% 13.29/2.14 fof(f6521,plain,(
% 13.29/2.14 ![X0,X1]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),X1)=X0)),
% 13.29/2.14 inference(forward_demodulation,[status(thm)],[f5177,f6520])).
% 13.29/2.14 fof(f6894,plain,(
% 13.29/2.14 ![X0]: (v_c____=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X0))),
% 13.29/2.14 inference(backward_demodulation,[status(thm)],[f6518,f1218])).
% 13.29/2.14 fof(f6973,plain,(
% 13.29/2.14 ![X0]: (~hAPP(X0,sk0_0(X0,c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____))))=v_c____|X0=c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)))),
% 13.29/2.14 inference(paramodulation,[status(thm)],[f6894,f1216])).
% 13.29/2.14 fof(f7198,plain,(
% 13.29/2.14 c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))=c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____))),
% 13.29/2.14 inference(resolution,[status(thm)],[f6973,f6521])).
% 13.29/2.14 fof(f11623,plain,(
% 13.29/2.14 spl0_328 <=> class_Int_Oring__char__0(tc_Complex_Ocomplex)),
% 13.29/2.14 introduced(split_symbol_definition)).
% 13.29/2.14 fof(f11625,plain,(
% 13.29/2.14 ~class_Int_Oring__char__0(tc_Complex_Ocomplex)|spl0_328),
% 13.29/2.14 inference(component_clause,[status(thm)],[f11623])).
% 13.29/2.14 fof(f11626,plain,(
% 13.29/2.14 spl0_329 <=> ~c_Polynomial_Opoly(tc_Complex_Ocomplex,X0)=c_Polynomial_Opoly(tc_Complex_Ocomplex,X1)|X0=X1),
% 13.29/2.14 introduced(split_symbol_definition)).
% 13.29/2.14 fof(f11627,plain,(
% 13.29/2.14 ![X0,X1]: (~c_Polynomial_Opoly(tc_Complex_Ocomplex,X0)=c_Polynomial_Opoly(tc_Complex_Ocomplex,X1)|X0=X1|~spl0_329)),
% 13.29/2.14 inference(component_clause,[status(thm)],[f11626])).
% 13.29/2.14 fof(f11629,plain,(
% 13.29/2.14 ![X0,X1]: (~class_Int_Oring__char__0(tc_Complex_Ocomplex)|~c_Polynomial_Opoly(tc_Complex_Ocomplex,X0)=c_Polynomial_Opoly(tc_Complex_Ocomplex,X1)|X0=X1)),
% 13.29/2.14 inference(resolution,[status(thm)],[f4591,f1225])).
% 13.29/2.14 fof(f11630,plain,(
% 13.29/2.14 ~spl0_328|spl0_329),
% 13.29/2.14 inference(split_clause,[status(thm)],[f11629,f11623,f11626])).
% 13.29/2.14 fof(f11631,plain,(
% 13.29/2.14 $false|spl0_328),
% 13.29/2.14 inference(forward_subsumption_resolution,[status(thm)],[f11625,f4583])).
% 13.29/2.14 fof(f11632,plain,(
% 13.29/2.14 spl0_328),
% 13.29/2.14 inference(contradiction_clause,[status(thm)],[f11631])).
% 13.29/2.14 fof(f11634,plain,(
% 13.29/2.14 c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))=c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)|~spl0_329),
% 13.29/2.14 inference(resolution,[status(thm)],[f11627,f7198])).
% 13.29/2.14 fof(f11698,plain,(
% 13.29/2.14 v_c____=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_329),
% 13.29/2.14 inference(resolution,[status(thm)],[f11634,f1246])).
% 13.29/2.14 fof(f11699,plain,(
% 13.29/2.14 $false|~spl0_329),
% 13.29/2.14 inference(forward_subsumption_resolution,[status(thm)],[f11698,f1217])).
% 13.29/2.14 fof(f11700,plain,(
% 13.29/2.14 ~spl0_329),
% 13.29/2.14 inference(contradiction_clause,[status(thm)],[f11699])).
% 13.29/2.14 fof(f11701,plain,(
% 13.29/2.14 $false),
% 13.29/2.14 inference(sat_refutation,[status(thm)],[f11630,f11632,f11700])).
% 13.29/2.14 % SZS output end CNFRefutation for theBenchmark.p
% 13.98/2.21 % Elapsed time: 1.839615 seconds
% 13.98/2.21 % CPU time: 13.644922 seconds
% 13.98/2.21 % Total memory used: 491.780 MB
% 13.98/2.21 % Net memory used: 487.362 MB
%------------------------------------------------------------------------------