TSTP Solution File: SWW182+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW182+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:49:47 EDT 2024
% Result : Theorem 1.65s 0.65s
% Output : CNFRefutation 1.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWW182+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 : n022.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 23:07:13 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.20/0.45 % Drodi V3.6.0
% 1.65/0.65 % Refutation found
% 1.65/0.65 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.65/0.65 % SZS output start CNFRefutation for theBenchmark
% 1.65/0.65 fof(f2,axiom,(
% 1.65/0.65 (! [V_h,T_a] :( class_Rings_Ocomm__semiring__0(T_a)=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) )),
% 1.65/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.65/0.65 fof(f17,axiom,(
% 1.65/0.65 (! [V_a,T_a] :( class_Groups_Ozero(T_a)=> c_Polynomial_Omonom(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) )),
% 1.65/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.65/0.65 fof(f38,axiom,(
% 1.65/0.65 (! [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)) ) )),
% 1.65/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.65/0.65 fof(f68,axiom,(
% 1.65/0.65 (! [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 ) )),
% 1.65/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.65/0.65 fof(f77,axiom,(
% 1.65/0.65 (! [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))) ) )),
% 1.65/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.65/0.65 fof(f998,axiom,(
% 1.65/0.65 (! [T] :( class_Rings_Ocomm__semiring__0(T)=> class_Groups_Ocomm__monoid__add(T) ) )),
% 1.65/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.65/0.65 fof(f1004,axiom,(
% 1.65/0.65 (! [T] :( class_Rings_Ocomm__semiring__0(T)=> class_Groups_Ozero(T) ) )),
% 1.65/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.65/0.65 fof(f1147,axiom,(
% 1.65/0.65 (! [T_1] :( class_Rings_Ocomm__semiring__0(T_1)=> class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) ) )),
% 1.65/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.65/0.65 fof(f1180,conjecture,(
% 1.65/0.65 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))) ),
% 1.65/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.65/0.65 fof(f1181,negated_conjecture,(
% 1.65/0.65 ~(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))) )),
% 1.65/0.65 inference(negated_conjecture,[status(cth)],[f1180])).
% 1.65/0.65 fof(f1182,hypothesis,(
% 1.65/0.65 class_Rings_Ocomm__semiring__0(t_a) ),
% 1.65/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.65/0.65 fof(f1186,plain,(
% 1.65/0.65 ![V_h,T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_h)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))),
% 1.65/0.65 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 1.65/0.65 fof(f1187,plain,(
% 1.65/0.65 ![T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(![V_h]: c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_h)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),
% 1.65/0.65 inference(miniscoping,[status(esa)],[f1186])).
% 1.65/0.65 fof(f1188,plain,(
% 1.65/0.65 ![X0,X1]: (~class_Rings_Ocomm__semiring__0(X0)|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),
% 1.65/0.65 inference(cnf_transformation,[status(esa)],[f1187])).
% 1.65/0.65 fof(f1253,plain,(
% 1.65/0.65 ![V_a,T_a]: (~class_Groups_Ozero(T_a)|c_Polynomial_Omonom(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),
% 1.65/0.65 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 1.65/0.65 fof(f1254,plain,(
% 1.65/0.65 ![T_a]: (~class_Groups_Ozero(T_a)|(![V_a]: c_Polynomial_Omonom(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))))),
% 1.65/0.65 inference(miniscoping,[status(esa)],[f1253])).
% 1.65/0.65 fof(f1255,plain,(
% 1.65/0.65 ![X0,X1]: (~class_Groups_Ozero(X0)|c_Polynomial_Omonom(X0,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))))),
% 1.65/0.65 inference(cnf_transformation,[status(esa)],[f1254])).
% 1.65/0.65 fof(f1328,plain,(
% 1.65/0.65 ![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)))),
% 1.65/0.65 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 1.65/0.65 fof(f1329,plain,(
% 1.65/0.65 ![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))))),
% 1.65/0.65 inference(miniscoping,[status(esa)],[f1328])).
% 1.65/0.65 fof(f1330,plain,(
% 1.65/0.65 ![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)))),
% 1.65/0.65 inference(cnf_transformation,[status(esa)],[f1329])).
% 1.65/0.65 fof(f1414,plain,(
% 1.65/0.65 ![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)),
% 1.65/0.65 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 1.65/0.65 fof(f1415,plain,(
% 1.65/0.65 ![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))),
% 1.65/0.65 inference(miniscoping,[status(esa)],[f1414])).
% 1.65/0.65 fof(f1416,plain,(
% 1.65/0.65 ![X0,X1]: (~class_Groups_Ocomm__monoid__add(X0)|c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1)=X1)),
% 1.65/0.65 inference(cnf_transformation,[status(esa)],[f1415])).
% 1.65/0.65 fof(f1437,plain,(
% 1.65/0.65 ![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))))),
% 1.65/0.65 inference(pre_NNF_transformation,[status(esa)],[f77])).
% 1.65/0.65 fof(f1438,plain,(
% 1.65/0.65 ![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)))))),
% 1.65/0.65 inference(miniscoping,[status(esa)],[f1437])).
% 1.65/0.65 fof(f1439,plain,(
% 1.65/0.65 ![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))))),
% 1.65/0.65 inference(cnf_transformation,[status(esa)],[f1438])).
% 1.65/0.65 fof(f4413,plain,(
% 1.65/0.65 ![T]: (~class_Rings_Ocomm__semiring__0(T)|class_Groups_Ocomm__monoid__add(T))),
% 1.65/0.65 inference(pre_NNF_transformation,[status(esa)],[f998])).
% 1.65/0.65 fof(f4414,plain,(
% 1.65/0.65 ![X0]: (~class_Rings_Ocomm__semiring__0(X0)|class_Groups_Ocomm__monoid__add(X0))),
% 1.65/0.65 inference(cnf_transformation,[status(esa)],[f4413])).
% 1.65/0.65 fof(f4425,plain,(
% 1.65/0.65 ![T]: (~class_Rings_Ocomm__semiring__0(T)|class_Groups_Ozero(T))),
% 1.65/0.65 inference(pre_NNF_transformation,[status(esa)],[f1004])).
% 1.65/0.65 fof(f4426,plain,(
% 1.65/0.65 ![X0]: (~class_Rings_Ocomm__semiring__0(X0)|class_Groups_Ozero(X0))),
% 1.65/0.65 inference(cnf_transformation,[status(esa)],[f4425])).
% 1.65/0.65 fof(f4611,plain,(
% 1.65/0.65 ![T_1]: (~class_Rings_Ocomm__semiring__0(T_1)|class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)))),
% 1.65/0.65 inference(pre_NNF_transformation,[status(esa)],[f1147])).
% 1.65/0.65 fof(f4612,plain,(
% 1.65/0.65 ![X0]: (~class_Rings_Ocomm__semiring__0(X0)|class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X0)))),
% 1.65/0.65 inference(cnf_transformation,[status(esa)],[f4611])).
% 1.65/0.65 fof(f4673,plain,(
% 1.65/0.65 ~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)))),
% 1.65/0.65 inference(cnf_transformation,[status(esa)],[f1181])).
% 1.65/0.65 fof(f4674,plain,(
% 1.65/0.65 class_Rings_Ocomm__semiring__0(t_a)),
% 1.65/0.65 inference(cnf_transformation,[status(esa)],[f1182])).
% 1.65/0.65 fof(f4854,plain,(
% 1.65/0.65 ![X0]: (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X0)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),
% 1.65/0.65 inference(resolution,[status(thm)],[f1188,f4674])).
% 1.65/0.65 fof(f4970,plain,(
% 1.65/0.65 class_Groups_Ozero(t_a)),
% 1.65/0.65 inference(resolution,[status(thm)],[f4426,f4674])).
% 1.65/0.65 fof(f5561,plain,(
% 1.65/0.65 ![X0]: (c_Polynomial_Omonom(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),
% 1.65/0.65 inference(resolution,[status(thm)],[f4970,f1255])).
% 1.65/0.65 fof(f5600,plain,(
% 1.65/0.65 ~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_Omonom(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 1.65/0.65 inference(backward_demodulation,[status(thm)],[f5561,f4673])).
% 1.65/0.65 fof(f5601,plain,(
% 1.65/0.65 ~c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_Omonom(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v_h)=c_Polynomial_Omonom(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 1.65/0.65 inference(forward_demodulation,[status(thm)],[f5561,f5600])).
% 1.65/0.65 fof(f7054,plain,(
% 1.65/0.65 class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(t_a))),
% 1.65/0.65 inference(resolution,[status(thm)],[f4612,f4674])).
% 1.65/0.65 fof(f7980,plain,(
% 1.65/0.65 spl0_377 <=> class_Rings_Ocomm__semiring__0(t_a)),
% 1.65/0.65 introduced(split_symbol_definition)).
% 1.65/0.65 fof(f7982,plain,(
% 1.65/0.65 ~class_Rings_Ocomm__semiring__0(t_a)|spl0_377),
% 1.65/0.65 inference(component_clause,[status(thm)],[f7980])).
% 1.65/0.65 fof(f7993,plain,(
% 1.65/0.65 $false|spl0_377),
% 1.65/0.65 inference(forward_subsumption_resolution,[status(thm)],[f7982,f4674])).
% 1.65/0.65 fof(f7994,plain,(
% 1.65/0.65 spl0_377),
% 1.65/0.65 inference(contradiction_clause,[status(thm)],[f7993])).
% 1.65/0.65 fof(f8113,plain,(
% 1.65/0.65 ![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)))),
% 1.65/0.65 inference(resolution,[status(thm)],[f1330,f4674])).
% 1.65/0.65 fof(f8616,plain,(
% 1.65/0.65 ![X0,X1]: (c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1)=X1|~class_Rings_Ocomm__semiring__0(X0))),
% 1.65/0.65 inference(resolution,[status(thm)],[f1416,f4414])).
% 1.65/0.65 fof(f9007,plain,(
% 1.65/0.65 spl0_433 <=> 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_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,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))))),
% 1.65/0.65 introduced(split_symbol_definition)).
% 1.65/0.65 fof(f9008,plain,(
% 1.65/0.65 ![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_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,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))))|~spl0_433)),
% 1.65/0.65 inference(component_clause,[status(thm)],[f9007])).
% 1.65/0.65 fof(f9010,plain,(
% 1.65/0.65 ![X0,X1]: (~class_Rings_Ocomm__semiring__0(t_a)|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_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,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)))))),
% 1.65/0.65 inference(paramodulation,[status(thm)],[f4854,f1439])).
% 1.65/0.65 fof(f9011,plain,(
% 1.65/0.65 ~spl0_377|spl0_433),
% 1.65/0.65 inference(split_clause,[status(thm)],[f9010,f7980,f9007])).
% 1.65/0.65 fof(f9017,plain,(
% 1.65/0.65 ![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_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))|~spl0_433)),
% 1.65/0.65 inference(forward_demodulation,[status(thm)],[f4854,f9008])).
% 1.65/0.65 fof(f9018,plain,(
% 1.65/0.65 ![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_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,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))|~spl0_433)),
% 1.65/0.65 inference(forward_demodulation,[status(thm)],[f8113,f9017])).
% 1.65/0.65 fof(f9430,plain,(
% 1.65/0.65 ![X0,X1]: (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_Omonom(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),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,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))|~spl0_433)),
% 1.65/0.65 inference(forward_demodulation,[status(thm)],[f5561,f9018])).
% 1.65/0.65 fof(f9431,plain,(
% 1.65/0.65 ![X0,X1]: (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_Omonom(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~spl0_433)),
% 1.65/0.65 inference(forward_demodulation,[status(thm)],[f5561,f9430])).
% 1.65/0.65 fof(f9435,plain,(
% 1.65/0.65 ![X0,X1,X2]: (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_Omonom(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)=c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_Omonom(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)|~spl0_433)),
% 1.65/0.65 inference(paramodulation,[status(thm)],[f9431,f9431])).
% 1.65/0.65 fof(f9464,plain,(
% 1.65/0.65 ![X0]: (~c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_Omonom(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)=c_Polynomial_Omonom(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~spl0_433)),
% 1.65/0.65 inference(paramodulation,[status(thm)],[f9435,f5601])).
% 1.65/0.65 fof(f9490,plain,(
% 1.65/0.65 ~c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=c_Polynomial_Omonom(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~spl0_433),
% 1.65/0.65 inference(paramodulation,[status(thm)],[f9431,f9464])).
% 1.65/0.65 fof(f10081,plain,(
% 1.65/0.65 ![X0]: (c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X0)=X0)),
% 1.65/0.65 inference(resolution,[status(thm)],[f8616,f7054])).
% 1.65/0.65 fof(f10790,plain,(
% 1.65/0.65 ~c_Polynomial_Omonom(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Polynomial_Omonom(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~spl0_433),
% 1.65/0.65 inference(backward_demodulation,[status(thm)],[f10081,f9490])).
% 1.65/0.65 fof(f10791,plain,(
% 1.65/0.65 $false|~spl0_433),
% 1.65/0.65 inference(trivial_equality_resolution,[status(esa)],[f10790])).
% 1.65/0.65 fof(f10792,plain,(
% 1.65/0.65 ~spl0_433),
% 1.65/0.65 inference(contradiction_clause,[status(thm)],[f10791])).
% 1.65/0.65 fof(f10793,plain,(
% 1.65/0.65 $false),
% 1.65/0.65 inference(sat_refutation,[status(thm)],[f7994,f9011,f10792])).
% 1.65/0.65 % SZS output end CNFRefutation for theBenchmark.p
% 1.65/0.67 % Elapsed time: 0.313350 seconds
% 1.65/0.67 % CPU time: 1.759067 seconds
% 1.65/0.67 % Total memory used: 174.533 MB
% 1.65/0.67 % Net memory used: 173.410 MB
%------------------------------------------------------------------------------