TSTP Solution File: SWW185+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW185+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 20:49:48 EDT 2024
% Result : Theorem 14.05s 2.24s
% Output : CNFRefutation 14.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWW185+1 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n007.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 23:02:02 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.45 % Drodi V3.6.0
% 14.05/2.24 % Refutation found
% 14.05/2.24 % SZS status Theorem for theBenchmark: Theorem is valid
% 14.05/2.24 % SZS output start CNFRefutation for theBenchmark
% 14.05/2.24 fof(f3,axiom,(
% 14.05/2.24 (! [V_h,V_a,T_a] :( class_Rings_Ocomm__semiring__0(T_a)=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_h) = c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) )),
% 14.05/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.05/2.24 fof(f27,axiom,(
% 14.05/2.24 (! [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) ) )),
% 14.05/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.05/2.24 fof(f28,axiom,(
% 14.05/2.24 (! [V_c,T_a] :( class_Rings_Ocomm__semiring__0(T_a)=> c_Polynomial_Osynthetic__div(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_c) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) )),
% 14.05/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.05/2.24 fof(f32,axiom,(
% 14.05/2.24 (! [V_p,T_a] :( class_Rings_Ocomm__semiring__0(T_a)=> c_Polynomial_Osmult(T_a,c_Groups_Ozero__class_Ozero(T_a),V_p) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) )),
% 14.05/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.05/2.24 fof(f39,axiom,(
% 14.05/2.24 (! [V_a,T_a] :( class_Rings_Ocomm__semiring__0(T_a)=> c_Polynomial_Osmult(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) )),
% 14.05/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.05/2.24 fof(f50,axiom,(
% 14.05/2.24 (! [V_c,V_p,T_a] :( class_Rings_Ocomm__semiring__0(T_a)=> c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_c,c_Polynomial_Osynthetic__div(T_a,V_p,V_c))) = c_Polynomial_OpCons(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_c),c_Polynomial_Osynthetic__div(T_a,V_p,V_c)) ) )),
% 14.05/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.05/2.24 fof(f60,axiom,(
% 14.05/2.24 (! [V_p,V_b,V_a,T_a] :( class_Rings_Ocomm__semiring__0(T_a)=> c_Polynomial_Osmult(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_p) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_Osmult(T_a,V_b,V_p)) ) )),
% 14.05/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.05/2.24 fof(f69,axiom,(
% 14.05/2.24 (! [V_a,T_a] :( class_Groups_Ocomm__monoid__add(T_a)=> c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) )),
% 14.05/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.05/2.24 fof(f75,axiom,(
% 14.05/2.24 (! [V_a,V_p,V_c,T_a] :( class_Rings_Ocomm__semiring__0(T_a)=> ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_c,V_p),c_Polynomial_OpCons(T_a,V_a,V_p)) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))=> V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) )),
% 14.05/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.05/2.24 fof(f80,axiom,(
% 14.05/2.24 (! [V_h,V_p,V_a,T_a] :( class_Rings_Ocomm__semiring__0(T_a)=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Polynomial_OpCons(T_a,V_a,V_p),V_h) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)),c_Polynomial_OpCons(T_a,V_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h))) ) )),
% 14.05/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.05/2.24 fof(f998,axiom,(
% 14.05/2.24 (! [T] :( class_Rings_Ocomm__semiring__0(T)=> class_Groups_Ocomm__monoid__add(T) ) )),
% 14.05/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.05/2.24 fof(f1180,hypothesis,(
% 14.05/2.24 ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))=> v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ) ),
% 14.05/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.05/2.24 fof(f1181,hypothesis,(
% 14.05/2.24 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
% 14.05/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.05/2.26 fof(f1182,conjecture,(
% 14.05/2.26 c_Polynomial_OpCons(t_a,v_a,v_p) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
% 14.05/2.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.05/2.26 fof(f1183,negated_conjecture,(
% 14.05/2.26 ~(c_Polynomial_OpCons(t_a,v_a,v_p) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )),
% 14.05/2.26 inference(negated_conjecture,[status(cth)],[f1182])).
% 14.05/2.26 fof(f1184,hypothesis,(
% 14.05/2.26 class_Rings_Ocomm__semiring__0(t_a) ),
% 14.05/2.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.05/2.26 fof(f1191,plain,(
% 14.05/2.26 ![V_h,V_a,T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_h)=c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),
% 14.05/2.26 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 14.05/2.26 fof(f1192,plain,(
% 14.05/2.26 ![T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(![V_h,V_a]: c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_h)=c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))))),
% 14.05/2.26 inference(miniscoping,[status(esa)],[f1191])).
% 14.05/2.26 fof(f1193,plain,(
% 14.05/2.26 ![X0,X1,X2]: (~class_Rings_Ocomm__semiring__0(X0)|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X2)=c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))))),
% 14.05/2.26 inference(cnf_transformation,[status(esa)],[f1192])).
% 14.05/2.26 fof(f1286,plain,(
% 14.05/2.26 ![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))),
% 14.05/2.26 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 14.05/2.26 fof(f1287,plain,(
% 14.05/2.26 ![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)))),
% 14.05/2.26 inference(miniscoping,[status(esa)],[f1286])).
% 14.05/2.26 fof(f1288,plain,(
% 14.05/2.26 ![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))),
% 14.05/2.26 inference(cnf_transformation,[status(esa)],[f1287])).
% 14.05/2.26 fof(f1289,plain,(
% 14.05/2.26 ![V_c,T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|c_Polynomial_Osynthetic__div(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_c)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))),
% 14.05/2.26 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 14.05/2.26 fof(f1290,plain,(
% 14.05/2.26 ![T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(![V_c]: c_Polynomial_Osynthetic__div(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_c)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),
% 14.05/2.26 inference(miniscoping,[status(esa)],[f1289])).
% 14.05/2.26 fof(f1291,plain,(
% 14.05/2.26 ![X0,X1]: (~class_Rings_Ocomm__semiring__0(X0)|c_Polynomial_Osynthetic__div(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),
% 14.05/2.26 inference(cnf_transformation,[status(esa)],[f1290])).
% 14.05/2.26 fof(f1305,plain,(
% 14.05/2.26 ![V_p,T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|c_Polynomial_Osmult(T_a,c_Groups_Ozero__class_Ozero(T_a),V_p)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))),
% 14.05/2.26 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 14.05/2.26 fof(f1306,plain,(
% 14.05/2.26 ![T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(![V_p]: c_Polynomial_Osmult(T_a,c_Groups_Ozero__class_Ozero(T_a),V_p)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),
% 14.05/2.26 inference(miniscoping,[status(esa)],[f1305])).
% 14.05/2.26 fof(f1307,plain,(
% 14.05/2.26 ![X0,X1]: (~class_Rings_Ocomm__semiring__0(X0)|c_Polynomial_Osmult(X0,c_Groups_Ozero__class_Ozero(X0),X1)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),
% 14.05/2.26 inference(cnf_transformation,[status(esa)],[f1306])).
% 14.05/2.26 fof(f1333,plain,(
% 14.05/2.26 ![V_a,T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|c_Polynomial_Osmult(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))),
% 14.05/2.26 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 14.05/2.26 fof(f1334,plain,(
% 14.05/2.26 ![T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(![V_a]: c_Polynomial_Osmult(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),
% 14.05/2.26 inference(miniscoping,[status(esa)],[f1333])).
% 14.05/2.26 fof(f1335,plain,(
% 14.05/2.26 ![X0,X1]: (~class_Rings_Ocomm__semiring__0(X0)|c_Polynomial_Osmult(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),
% 14.05/2.26 inference(cnf_transformation,[status(esa)],[f1334])).
% 14.05/2.26 fof(f1359,plain,(
% 14.05/2.26 ![V_c,V_p,T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_c,c_Polynomial_Osynthetic__div(T_a,V_p,V_c)))=c_Polynomial_OpCons(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_c),c_Polynomial_Osynthetic__div(T_a,V_p,V_c)))),
% 14.05/2.26 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 14.05/2.26 fof(f1360,plain,(
% 14.05/2.26 ![T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(![V_c,V_p]: c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_c,c_Polynomial_Osynthetic__div(T_a,V_p,V_c)))=c_Polynomial_OpCons(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_c),c_Polynomial_Osynthetic__div(T_a,V_p,V_c))))),
% 14.05/2.26 inference(miniscoping,[status(esa)],[f1359])).
% 14.05/2.26 fof(f1361,plain,(
% 14.05/2.26 ![X0,X1,X2]: (~class_Rings_Ocomm__semiring__0(X0)|c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,c_Polynomial_Osmult(X0,X2,c_Polynomial_Osynthetic__div(X0,X1,X2)))=c_Polynomial_OpCons(X0,hAPP(c_Polynomial_Opoly(X0,X1),X2),c_Polynomial_Osynthetic__div(X0,X1,X2)))),
% 14.05/2.26 inference(cnf_transformation,[status(esa)],[f1360])).
% 14.05/2.26 fof(f1394,plain,(
% 14.05/2.26 ![V_p,V_b,V_a,T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|c_Polynomial_Osmult(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_p)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_Osmult(T_a,V_b,V_p)))),
% 14.05/2.26 inference(pre_NNF_transformation,[status(esa)],[f60])).
% 14.05/2.26 fof(f1395,plain,(
% 14.05/2.26 ![T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(![V_p,V_b,V_a]: c_Polynomial_Osmult(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_p)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_Osmult(T_a,V_b,V_p))))),
% 14.05/2.26 inference(miniscoping,[status(esa)],[f1394])).
% 14.05/2.26 fof(f1396,plain,(
% 14.05/2.26 ![X0,X1,X2,X3]: (~class_Rings_Ocomm__semiring__0(X0)|c_Polynomial_Osmult(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X3),c_Polynomial_Osmult(X0,X2,X3)))),
% 14.05/2.26 inference(cnf_transformation,[status(esa)],[f1395])).
% 14.05/2.26 fof(f1419,plain,(
% 14.05/2.26 ![V_a,T_a]: (~class_Groups_Ocomm__monoid__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=V_a)),
% 14.05/2.26 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 14.05/2.26 fof(f1420,plain,(
% 14.05/2.26 ![T_a]: (~class_Groups_Ocomm__monoid__add(T_a)|(![V_a]: c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=V_a))),
% 14.05/2.26 inference(miniscoping,[status(esa)],[f1419])).
% 14.05/2.26 fof(f1421,plain,(
% 14.05/2.26 ![X0,X1]: (~class_Groups_Ocomm__monoid__add(X0)|c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1)=X1)),
% 14.05/2.26 inference(cnf_transformation,[status(esa)],[f1420])).
% 14.05/2.26 fof(f1437,plain,(
% 14.05/2.26 ![V_a,V_p,V_c,T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(~c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_c,V_p),c_Polynomial_OpCons(T_a,V_a,V_p))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|V_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),
% 14.05/2.26 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 14.05/2.26 fof(f1438,plain,(
% 14.05/2.26 ![T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(![V_p]: ((![V_a,V_c]: ~c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_c,V_p),c_Polynomial_OpCons(T_a,V_a,V_p))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))|V_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))))),
% 14.05/2.26 inference(miniscoping,[status(esa)],[f1437])).
% 14.05/2.26 fof(f1439,plain,(
% 14.05/2.26 ![X0,X1,X2,X3]: (~class_Rings_Ocomm__semiring__0(X0)|~c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_OpCons(X0,X3,X2))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))|X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),
% 14.05/2.26 inference(cnf_transformation,[status(esa)],[f1438])).
% 14.05/2.26 fof(f1448,plain,(
% 14.05/2.26 ![V_h,V_p,V_a,T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Polynomial_OpCons(T_a,V_a,V_p),V_h)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)),c_Polynomial_OpCons(T_a,V_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h))))),
% 14.05/2.26 inference(pre_NNF_transformation,[status(esa)],[f80])).
% 14.05/2.26 fof(f1449,plain,(
% 14.05/2.26 ![T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(![V_h,V_p,V_a]: c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Polynomial_OpCons(T_a,V_a,V_p),V_h)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)),c_Polynomial_OpCons(T_a,V_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)))))),
% 14.05/2.26 inference(miniscoping,[status(esa)],[f1448])).
% 14.05/2.26 fof(f1450,plain,(
% 14.05/2.26 ![X0,X1,X2,X3]: (~class_Rings_Ocomm__semiring__0(X0)|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Polynomial_OpCons(X0,X1,X2),X3)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X2,X3)),c_Polynomial_OpCons(X0,X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X2,X3))))),
% 14.05/2.26 inference(cnf_transformation,[status(esa)],[f1449])).
% 14.05/2.26 fof(f4412,plain,(
% 14.05/2.26 ![T]: (~class_Rings_Ocomm__semiring__0(T)|class_Groups_Ocomm__monoid__add(T))),
% 14.05/2.26 inference(pre_NNF_transformation,[status(esa)],[f998])).
% 14.05/2.26 fof(f4413,plain,(
% 14.05/2.26 ![X0]: (~class_Rings_Ocomm__semiring__0(X0)|class_Groups_Ocomm__monoid__add(X0))),
% 14.05/2.26 inference(cnf_transformation,[status(esa)],[f4412])).
% 14.05/2.26 fof(f4672,plain,(
% 14.05/2.26 ~c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
% 14.05/2.26 inference(pre_NNF_transformation,[status(esa)],[f1180])).
% 14.05/2.26 fof(f4673,plain,(
% 14.05/2.26 ~c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
% 14.05/2.26 inference(cnf_transformation,[status(esa)],[f4672])).
% 14.05/2.26 fof(f4674,plain,(
% 14.05/2.26 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
% 14.05/2.26 inference(cnf_transformation,[status(esa)],[f1181])).
% 14.05/2.26 fof(f4675,plain,(
% 14.05/2.26 ~c_Polynomial_OpCons(t_a,v_a,v_p)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
% 14.05/2.26 inference(cnf_transformation,[status(esa)],[f1183])).
% 14.05/2.26 fof(f4676,plain,(
% 14.05/2.26 class_Rings_Ocomm__semiring__0(t_a)),
% 14.05/2.26 inference(cnf_transformation,[status(esa)],[f1184])).
% 14.05/2.26 fof(f4712,plain,(
% 14.05/2.26 spl0_0 <=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
% 14.05/2.26 introduced(split_symbol_definition)).
% 14.05/2.26 fof(f4715,plain,(
% 14.05/2.26 spl0_1 <=> v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
% 14.05/2.26 introduced(split_symbol_definition)).
% 14.05/2.26 fof(f4716,plain,(
% 14.05/2.26 v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|~spl0_1),
% 14.05/2.26 inference(component_clause,[status(thm)],[f4715])).
% 14.05/2.26 fof(f4718,plain,(
% 14.05/2.26 ~spl0_0|spl0_1),
% 14.05/2.26 inference(split_clause,[status(thm)],[f4673,f4712,f4715])).
% 14.05/2.26 fof(f4866,plain,(
% 14.05/2.26 ![X0,X1]: (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X1)=c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),
% 14.05/2.26 inference(resolution,[status(thm)],[f1193,f4676])).
% 14.05/2.26 fof(f5041,plain,(
% 14.05/2.26 ![X0]: (hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X0)=c_Groups_Ozero__class_Ozero(t_a))),
% 14.05/2.26 inference(resolution,[status(thm)],[f1288,f4676])).
% 14.05/2.26 fof(f5086,plain,(
% 14.05/2.26 ![X0]: (c_Polynomial_Osynthetic__div(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X0)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),
% 14.05/2.26 inference(resolution,[status(thm)],[f1291,f4676])).
% 14.05/2.26 fof(f5096,plain,(
% 14.05/2.26 ![X0]: (c_Polynomial_Osmult(t_a,c_Groups_Ozero__class_Ozero(t_a),X0)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),
% 14.05/2.26 inference(resolution,[status(thm)],[f1307,f4676])).
% 14.05/2.26 fof(f5162,plain,(
% 14.05/2.26 ![X0]: (c_Polynomial_Osmult(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),
% 14.05/2.26 inference(resolution,[status(thm)],[f1335,f4676])).
% 14.05/2.26 fof(f5181,plain,(
% 14.05/2.26 spl0_26 <=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
% 14.05/2.26 introduced(split_symbol_definition)).
% 14.05/2.26 fof(f5186,plain,(
% 14.05/2.26 spl0_27 <=> class_Rings_Ocomm__semiring__0(t_a)),
% 14.05/2.26 introduced(split_symbol_definition)).
% 14.05/2.26 fof(f5188,plain,(
% 14.05/2.26 ~class_Rings_Ocomm__semiring__0(t_a)|spl0_27),
% 14.05/2.26 inference(component_clause,[status(thm)],[f5186])).
% 14.05/2.26 fof(f5194,plain,(
% 14.05/2.26 $false|spl0_27),
% 14.05/2.26 inference(forward_subsumption_resolution,[status(thm)],[f5188,f4676])).
% 14.05/2.26 fof(f5195,plain,(
% 14.05/2.26 spl0_27),
% 14.05/2.26 inference(contradiction_clause,[status(thm)],[f5194])).
% 14.05/2.26 fof(f7190,plain,(
% 14.05/2.26 ![X0,X1]: (c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1)=X1|~class_Rings_Ocomm__semiring__0(X0))),
% 14.05/2.26 inference(resolution,[status(thm)],[f1421,f4413])).
% 14.05/2.26 fof(f7283,plain,(
% 14.05/2.26 ![X0,X1]: (c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),X0,c_Polynomial_Osmult(t_a,X1,c_Polynomial_Osynthetic__div(t_a,X0,X1)))=c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,X0),X1),c_Polynomial_Osynthetic__div(t_a,X0,X1)))),
% 14.05/2.26 inference(resolution,[status(thm)],[f1361,f4676])).
% 14.05/2.26 fof(f10583,plain,(
% 14.05/2.26 ![X0]: (c_Groups_Oplus__class_Oplus(t_a,c_Groups_Ozero__class_Ozero(t_a),X0)=X0)),
% 14.05/2.26 inference(resolution,[status(thm)],[f7190,f4676])).
% 14.05/2.26 fof(f10783,plain,(
% 14.05/2.26 ![X0,X1,X2]: (c_Polynomial_Osmult(t_a,c_Groups_Oplus__class_Oplus(t_a,X0,X1),X2)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X0,X2),c_Polynomial_Osmult(t_a,X1,X2)))),
% 14.05/2.26 inference(resolution,[status(thm)],[f1396,f4676])).
% 14.05/2.26 fof(f10877,plain,(
% 14.05/2.26 spl0_172 <=> ~c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),c_Polynomial_OpCons(t_a,X0,X1))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
% 14.05/2.26 introduced(split_symbol_definition)).
% 14.05/2.26 fof(f10878,plain,(
% 14.05/2.26 ![X0,X1]: (~c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),c_Polynomial_OpCons(t_a,X0,X1))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|~spl0_172)),
% 14.05/2.26 inference(component_clause,[status(thm)],[f10877])).
% 14.05/2.26 fof(f10880,plain,(
% 14.05/2.26 ![X0,X1]: (~class_Rings_Ocomm__semiring__0(t_a)|~c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),c_Polynomial_OpCons(t_a,X0,X1))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),
% 14.05/2.26 inference(paramodulation,[status(thm)],[f5096,f1439])).
% 14.05/2.26 fof(f10881,plain,(
% 14.05/2.26 ~spl0_27|spl0_172),
% 14.05/2.26 inference(split_clause,[status(thm)],[f10880,f5186,f10877])).
% 14.05/2.26 fof(f11011,plain,(
% 14.05/2.26 ![X0,X1]: (c_Polynomial_Osmult(t_a,c_Groups_Oplus__class_Oplus(t_a,c_Groups_Ozero__class_Ozero(t_a),X0),X1)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),c_Polynomial_Osmult(t_a,X0,X1)))),
% 14.05/2.26 inference(paramodulation,[status(thm)],[f5096,f10783])).
% 14.05/2.26 fof(f11012,plain,(
% 14.05/2.26 ![X0,X1]: (c_Polynomial_Osmult(t_a,X0,X1)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),c_Polynomial_Osmult(t_a,X0,X1)))),
% 14.05/2.26 inference(forward_demodulation,[status(thm)],[f10583,f11011])).
% 14.05/2.26 fof(f11066,plain,(
% 14.05/2.26 ![X0]: (c_Polynomial_Osmult(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),
% 14.05/2.26 inference(paramodulation,[status(thm)],[f5162,f11012])).
% 14.05/2.26 fof(f11067,plain,(
% 14.05/2.26 c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),
% 14.05/2.26 inference(forward_demodulation,[status(thm)],[f5162,f11066])).
% 14.05/2.26 fof(f11071,plain,(
% 14.05/2.26 ![X0]: (c_Polynomial_Osmult(t_a,X0,c_Polynomial_Osynthetic__div(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X0))=c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X0),c_Polynomial_Osynthetic__div(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X0)))),
% 14.05/2.26 inference(paramodulation,[status(thm)],[f11012,f7283])).
% 14.05/2.26 fof(f11072,plain,(
% 14.05/2.26 ![X0]: (c_Polynomial_Osmult(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))=c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X0),c_Polynomial_Osynthetic__div(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X0)))),
% 14.05/2.26 inference(forward_demodulation,[status(thm)],[f5086,f11071])).
% 14.05/2.26 fof(f11073,plain,(
% 14.05/2.26 ![X0]: (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))=c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X0),c_Polynomial_Osynthetic__div(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X0)))),
% 14.05/2.26 inference(forward_demodulation,[status(thm)],[f5162,f11072])).
% 14.05/2.26 fof(f11074,plain,(
% 14.05/2.26 ![X0]: (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))=c_Polynomial_OpCons(t_a,c_Groups_Ozero__class_Ozero(t_a),c_Polynomial_Osynthetic__div(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X0)))),
% 14.05/2.26 inference(forward_demodulation,[status(thm)],[f5041,f11073])).
% 14.05/2.26 fof(f11075,plain,(
% 14.05/2.26 c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))=c_Polynomial_OpCons(t_a,c_Groups_Ozero__class_Ozero(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),
% 14.05/2.26 inference(forward_demodulation,[status(thm)],[f5086,f11074])).
% 14.05/2.26 fof(f11620,plain,(
% 14.05/2.26 spl0_207 <=> c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
% 14.05/2.26 introduced(split_symbol_definition)).
% 14.05/2.26 fof(f11622,plain,(
% 14.05/2.26 ~c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|spl0_207),
% 14.05/2.26 inference(component_clause,[status(thm)],[f11620])).
% 14.05/2.26 fof(f11623,plain,(
% 14.05/2.26 ~c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|~spl0_172),
% 14.05/2.26 inference(paramodulation,[status(thm)],[f11075,f10878])).
% 14.05/2.26 fof(f11624,plain,(
% 14.05/2.26 ~spl0_207|spl0_26|~spl0_172),
% 14.05/2.26 inference(split_clause,[status(thm)],[f11623,f11620,f5181,f10877])).
% 14.05/2.26 fof(f11637,plain,(
% 14.05/2.26 ~c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|spl0_207),
% 14.05/2.26 inference(forward_demodulation,[status(thm)],[f11067,f11622])).
% 14.05/2.26 fof(f11638,plain,(
% 14.05/2.26 $false|spl0_207),
% 14.05/2.26 inference(trivial_equality_resolution,[status(esa)],[f11637])).
% 14.05/2.26 fof(f11639,plain,(
% 14.05/2.26 spl0_207),
% 14.05/2.26 inference(contradiction_clause,[status(thm)],[f11638])).
% 14.05/2.26 fof(f13607,plain,(
% 14.05/2.26 ![X0,X1,X2]: (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,X1),X2)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X2)),c_Polynomial_OpCons(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X2))))),
% 14.05/2.29 inference(resolution,[status(thm)],[f1450,f4676])).
% 14.05/2.29 fof(f13801,plain,(
% 14.05/2.29 spl0_260 <=> ~c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,X1),X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
% 14.05/2.29 introduced(split_symbol_definition)).
% 14.05/2.29 fof(f13802,plain,(
% 14.05/2.29 ![X0,X1,X2]: (~c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,X1),X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|~spl0_260)),
% 14.05/2.29 inference(component_clause,[status(thm)],[f13801])).
% 14.05/2.29 fof(f13804,plain,(
% 14.05/2.29 ![X0,X1,X2]: (~class_Rings_Ocomm__semiring__0(t_a)|~c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,X1),X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),
% 14.05/2.29 inference(paramodulation,[status(thm)],[f13607,f1439])).
% 14.05/2.29 fof(f13805,plain,(
% 14.05/2.29 ~spl0_27|spl0_260),
% 14.05/2.29 inference(split_clause,[status(thm)],[f13804,f5186,f13801])).
% 14.05/2.29 fof(f13825,plain,(
% 14.05/2.29 ~c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|~spl0_260),
% 14.05/2.29 inference(paramodulation,[status(thm)],[f4674,f13802])).
% 14.05/2.29 fof(f13826,plain,(
% 14.05/2.29 ~spl0_26|spl0_0|~spl0_260),
% 14.05/2.29 inference(split_clause,[status(thm)],[f13825,f5181,f4712,f13801])).
% 14.05/2.29 fof(f17238,plain,(
% 14.05/2.29 ![X0,X1]: (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X1)=c_Polynomial_OpCons(t_a,X0,v_p)|~spl0_1)),
% 14.05/2.29 inference(backward_demodulation,[status(thm)],[f4716,f4866])).
% 14.05/2.29 fof(f17239,plain,(
% 14.05/2.29 ![X0,X1]: (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,v_p),X1)=c_Polynomial_OpCons(t_a,X0,v_p)|~spl0_1)),
% 14.05/2.29 inference(forward_demodulation,[status(thm)],[f4716,f17238])).
% 14.05/2.29 fof(f17242,plain,(
% 14.05/2.29 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h)=v_p|~spl0_1),
% 14.05/2.29 inference(backward_demodulation,[status(thm)],[f4716,f4674])).
% 14.05/2.29 fof(f17243,plain,(
% 14.05/2.29 ~c_Polynomial_OpCons(t_a,v_a,v_p)=v_p|~spl0_1),
% 14.05/2.29 inference(backward_demodulation,[status(thm)],[f4716,f4675])).
% 14.05/2.29 fof(f18259,plain,(
% 14.05/2.29 c_Polynomial_OpCons(t_a,v_a,v_p)=v_p|~spl0_1),
% 14.05/2.29 inference(backward_demodulation,[status(thm)],[f17239,f17242])).
% 14.05/2.29 fof(f18260,plain,(
% 14.05/2.29 $false|~spl0_1),
% 14.05/2.29 inference(forward_subsumption_resolution,[status(thm)],[f18259,f17243])).
% 14.05/2.29 fof(f18261,plain,(
% 14.05/2.29 ~spl0_1),
% 14.05/2.29 inference(contradiction_clause,[status(thm)],[f18260])).
% 14.05/2.29 fof(f18262,plain,(
% 14.05/2.29 $false),
% 14.05/2.29 inference(sat_refutation,[status(thm)],[f4718,f5195,f10881,f11624,f11639,f13805,f13826,f18261])).
% 14.05/2.29 % SZS output end CNFRefutation for theBenchmark.p
% 14.74/2.35 % Elapsed time: 1.976872 seconds
% 14.74/2.35 % CPU time: 14.689811 seconds
% 14.74/2.35 % Total memory used: 564.777 MB
% 14.74/2.35 % Net memory used: 559.301 MB
%------------------------------------------------------------------------------