TSTP Solution File: SWW213+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW213+1 : TPTP v8.1.2. Released v5.2.0.
% 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 12:44:29 EDT 2023
% Result : Theorem 0.15s 0.40s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW213+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:26:10 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.38 % Drodi V3.5.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f3,axiom,(
% 0.15/0.40 (! [V_x,V_h,V_p,T_a] :( class_Rings_Ocomm__semiring__0(T_a)=> hAPP(c_Polynomial_Opoly(T_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)),V_x) = hAPP(c_Polynomial_Opoly(T_a,V_p),c_Groups_Oplus__class_Oplus(T_a,V_h,V_x)) ) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f14,axiom,(
% 0.15/0.40 (! [V_h,V_p,T_a] :( class_Rings_Ocomm__semiring__0(T_a)=> c_Polynomial_Odegree(T_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)) = c_Polynomial_Odegree(T_a,V_p) ) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f1181,axiom,(
% 0.15/0.40 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f1263,hypothesis,(
% 0.15/0.40 (! [B_q] :( c_Polynomial_Odegree(tc_Complex_Ocomplex,B_q) = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)=> ( (! [B_x] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,B_q),B_x) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,B_x)))=> v_thesis____ ) ) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f1264,conjecture,(
% 0.15/0.40 v_thesis____ ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f1265,negated_conjecture,(
% 0.15/0.40 ~(v_thesis____ )),
% 0.15/0.40 inference(negated_conjecture,[status(cth)],[f1264])).
% 0.15/0.40 fof(f1272,plain,(
% 0.15/0.40 ![V_x,V_h,V_p,T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|hAPP(c_Polynomial_Opoly(T_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)),V_x)=hAPP(c_Polynomial_Opoly(T_a,V_p),c_Groups_Oplus__class_Oplus(T_a,V_h,V_x)))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.15/0.40 fof(f1273,plain,(
% 0.15/0.40 ![T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(![V_x,V_h,V_p]: hAPP(c_Polynomial_Opoly(T_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)),V_x)=hAPP(c_Polynomial_Opoly(T_a,V_p),c_Groups_Oplus__class_Oplus(T_a,V_h,V_x))))),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f1272])).
% 0.15/0.40 fof(f1274,plain,(
% 0.15/0.40 ![X0,X1,X2,X3]: (~class_Rings_Ocomm__semiring__0(X0)|hAPP(c_Polynomial_Opoly(X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2)),X3)=hAPP(c_Polynomial_Opoly(X0,X1),c_Groups_Oplus__class_Oplus(X0,X2,X3)))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f1273])).
% 0.15/0.40 fof(f1311,plain,(
% 0.15/0.40 ![V_h,V_p,T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|c_Polynomial_Odegree(T_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h))=c_Polynomial_Odegree(T_a,V_p))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.15/0.40 fof(f1312,plain,(
% 0.15/0.40 ![T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(![V_h,V_p]: c_Polynomial_Odegree(T_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h))=c_Polynomial_Odegree(T_a,V_p)))),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f1311])).
% 0.15/0.40 fof(f1313,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~class_Rings_Ocomm__semiring__0(X0)|c_Polynomial_Odegree(X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2))=c_Polynomial_Odegree(X0,X1))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f1312])).
% 0.15/0.40 fof(f4681,plain,(
% 0.15/0.40 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f1181])).
% 0.15/0.40 fof(f4820,plain,(
% 0.15/0.40 ![B_q]: (~c_Polynomial_Odegree(tc_Complex_Ocomplex,B_q)=c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)|((?[B_x]: ~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,B_q),B_x)=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,B_x)))|v_thesis____))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(esa)],[f1263])).
% 0.15/0.40 fof(f4821,plain,(
% 0.15/0.40 ![B_q]: (~c_Polynomial_Odegree(tc_Complex_Ocomplex,B_q)=c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)|(~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,B_q),sk0_23(B_q))=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,sk0_23(B_q)))|v_thesis____))),
% 0.15/0.40 inference(skolemization,[status(esa)],[f4820])).
% 0.15/0.40 fof(f4822,plain,(
% 0.15/0.40 ![X0]: (~c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)=c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)|~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sk0_23(X0))=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,sk0_23(X0)))|v_thesis____)),
% 0.29/0.64 inference(cnf_transformation,[status(esa)],[f4821])).
% 0.29/0.64 fof(f4823,plain,(
% 0.29/0.64 ~v_thesis____),
% 0.29/0.64 inference(cnf_transformation,[status(esa)],[f1265])).
% 0.29/0.64 fof(f4838,plain,(
% 0.29/0.64 spl0_0 <=> ~c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)=c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)|~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sk0_23(X0))=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,sk0_23(X0)))),
% 0.29/0.64 introduced(split_symbol_definition)).
% 0.29/0.64 fof(f4839,plain,(
% 0.29/0.64 ![X0]: (~c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)=c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)|~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sk0_23(X0))=hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,sk0_23(X0)))|~spl0_0)),
% 0.29/0.64 inference(component_clause,[status(thm)],[f4838])).
% 0.29/0.64 fof(f4841,plain,(
% 0.29/0.64 spl0_1 <=> v_thesis____),
% 0.29/0.64 introduced(split_symbol_definition)).
% 0.29/0.64 fof(f4842,plain,(
% 0.29/0.64 v_thesis____|~spl0_1),
% 0.29/0.64 inference(component_clause,[status(thm)],[f4841])).
% 0.29/0.64 fof(f4844,plain,(
% 0.29/0.64 spl0_0|spl0_1),
% 0.29/0.64 inference(split_clause,[status(thm)],[f4822,f4838,f4841])).
% 0.29/0.64 fof(f4996,plain,(
% 0.29/0.64 spl0_4 <=> c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z))=c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)),
% 0.29/0.64 introduced(split_symbol_definition)).
% 0.29/0.64 fof(f4998,plain,(
% 0.29/0.64 ~c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z))=c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)|spl0_4),
% 0.29/0.64 inference(component_clause,[status(thm)],[f4996])).
% 0.29/0.64 fof(f4999,plain,(
% 0.29/0.64 spl0_5 <=> class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)),
% 0.29/0.64 introduced(split_symbol_definition)).
% 0.29/0.64 fof(f5001,plain,(
% 0.29/0.64 ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)|spl0_5),
% 0.29/0.64 inference(component_clause,[status(thm)],[f4999])).
% 0.29/0.64 fof(f5002,plain,(
% 0.29/0.64 ~c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z))=c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)|~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)|~spl0_0),
% 0.29/0.64 inference(resolution,[status(thm)],[f4839,f1274])).
% 0.29/0.64 fof(f5003,plain,(
% 0.29/0.64 ~spl0_4|~spl0_5|~spl0_0),
% 0.29/0.64 inference(split_clause,[status(thm)],[f5002,f4996,f4999,f4838])).
% 0.29/0.64 fof(f5004,plain,(
% 0.29/0.64 $false|~spl0_1),
% 0.29/0.64 inference(forward_subsumption_resolution,[status(thm)],[f4842,f4823])).
% 0.29/0.64 fof(f5005,plain,(
% 0.29/0.64 ~spl0_1),
% 0.29/0.64 inference(contradiction_clause,[status(thm)],[f5004])).
% 0.29/0.64 fof(f5034,plain,(
% 0.29/0.64 ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)|spl0_4),
% 0.29/0.64 inference(resolution,[status(thm)],[f1313,f4998])).
% 0.29/0.64 fof(f5088,plain,(
% 0.29/0.64 $false|spl0_4),
% 0.29/0.64 inference(forward_subsumption_resolution,[status(thm)],[f4681,f5034])).
% 0.29/0.64 fof(f5089,plain,(
% 0.29/0.64 spl0_4),
% 0.29/0.64 inference(contradiction_clause,[status(thm)],[f5088])).
% 0.29/0.64 fof(f5104,plain,(
% 0.29/0.64 $false|spl0_5),
% 0.29/0.64 inference(forward_subsumption_resolution,[status(thm)],[f4681,f5001])).
% 0.29/0.64 fof(f5105,plain,(
% 0.29/0.64 spl0_5),
% 0.29/0.64 inference(contradiction_clause,[status(thm)],[f5104])).
% 0.29/0.64 fof(f5106,plain,(
% 0.29/0.64 $false),
% 0.29/0.64 inference(sat_refutation,[status(thm)],[f4844,f5003,f5005,f5089,f5105])).
% 0.29/0.64 % SZS output end CNFRefutation for theBenchmark.p
% 0.29/0.64 % Elapsed time: 0.111795 seconds
% 0.29/0.64 % CPU time: 0.106108 seconds
% 0.29/0.64 % Memory used: 13.996 MB
%------------------------------------------------------------------------------