%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW284+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:08:54 PM UTC 2026
% Result : Theorem 14.53s 2.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW284+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n015.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 09:48:36 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.25/0.59 % Drodi V4.1.1
% 14.53/2.63 % Refutation found
% 14.53/2.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 14.53/2.63 % SZS output start CNFRefutation for theBenchmark
% 14.53/2.63 fof(f1,axiom,(
% 14.53/2.63 (! [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 ) )),
% 14.53/2.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.53/2.63 fof(f2,axiom,(
% 14.53/2.63 v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 14.53/2.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.53/2.63 fof(f3,axiom,(
% 14.53/2.63 (! [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) ) )),
% 14.53/2.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.53/2.63 fof(f5,axiom,(
% 14.53/2.63 (! [V_qa_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_qa_2)<=> V_pa_2 = V_qa_2 ) ) )),
% 14.53/2.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.53/2.63 fof(f1102,axiom,(
% 14.53/2.63 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 14.53/2.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.53/2.63 fof(f1115,axiom,(
% 14.53/2.63 class_Int_Oring__char__0(tc_Complex_Ocomplex) ),
% 14.53/2.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.53/2.63 fof(f1122,axiom,(
% 14.53/2.63 class_Rings_Oidom(tc_Complex_Ocomplex) ),
% 14.53/2.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.53/2.63 fof(f1180,hypothesis,(
% 14.53/2.63 (! [B_x] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),B_x) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )),
% 14.53/2.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.53/2.63 fof(f1181,conjecture,(
% 14.53/2.63 v_q = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 14.53/2.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.53/2.63 fof(f1182,negated_conjecture,(
% 14.53/2.63 ~(v_q = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )),
% 14.53/2.63 inference(negated_conjecture,[status(cth)],[f1181])).
% 14.53/2.63 fof(f1183,plain,(
% 14.53/2.63 ![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)),
% 14.53/2.63 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 14.53/2.63 fof(f1184,plain,(
% 14.53/2.63 ![V_g_2,V_f_2]: (~hAPP(V_f_2,sK0_skl(V_f_2,V_g_2))=hAPP(V_g_2,sK0_skl(V_f_2,V_g_2))|V_f_2=V_g_2)),
% 14.53/2.63 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(B_x,sK0_skl(V_f_2,V_g_2))],[f1183])).
% 14.53/2.63 fof(f1185,plain,(
% 14.53/2.63 ![X0,X1]: (~hAPP(X0,sK0_skl(X0,X1))=hAPP(X1,sK0_skl(X0,X1))|X0=X1)),
% 14.53/2.63 inference(cnf_transformation,[status(thm)],[f1184])).
% 14.53/2.63 fof(f1186,plain,(
% 14.53/2.63 v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 14.53/2.63 inference(cnf_transformation,[status(thm)],[f2])).
% 14.53/2.63 fof(f1187,plain,(
% 14.53/2.63 ![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))),
% 14.53/2.63 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 14.53/2.63 fof(f1188,plain,(
% 14.53/2.63 ![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)))),
% 14.53/2.63 inference(miniscoping,[status(thm)],[f1187])).
% 14.53/2.63 fof(f1189,plain,(
% 14.53/2.63 ![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))),
% 14.53/2.63 inference(cnf_transformation,[status(thm)],[f1188])).
% 14.53/2.63 fof(f1195,plain,(
% 14.53/2.63 ![V_qa_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_qa_2)<=>V_pa_2=V_qa_2))),
% 14.53/2.63 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 14.53/2.63 fof(f1196,plain,(
% 14.53/2.63 ![V_qa_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_qa_2)|V_pa_2=V_qa_2)&(c_Polynomial_Opoly(T_a,V_pa_2)=c_Polynomial_Opoly(T_a,V_qa_2)|~V_pa_2=V_qa_2)))),
% 14.53/2.63 inference(NNF_transformation,[status(thm)],[f1195])).
% 14.53/2.63 fof(f1197,plain,(
% 14.53/2.63 ![T_a]: ((~class_Int_Oring__char__0(T_a)|~class_Rings_Oidom(T_a))|((![V_qa_2,V_pa_2]: (~c_Polynomial_Opoly(T_a,V_pa_2)=c_Polynomial_Opoly(T_a,V_qa_2)|V_pa_2=V_qa_2))&(![V_qa_2,V_pa_2]: (c_Polynomial_Opoly(T_a,V_pa_2)=c_Polynomial_Opoly(T_a,V_qa_2)|~V_pa_2=V_qa_2))))),
% 14.53/2.67 inference(miniscoping,[status(thm)],[f1196])).
% 14.53/2.67 fof(f1198,plain,(
% 14.53/2.67 ![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)),
% 14.53/2.67 inference(cnf_transformation,[status(thm)],[f1197])).
% 14.53/2.67 fof(f4506,plain,(
% 14.53/2.67 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)),
% 14.53/2.67 inference(cnf_transformation,[status(thm)],[f1102])).
% 14.53/2.67 fof(f4519,plain,(
% 14.53/2.67 class_Int_Oring__char__0(tc_Complex_Ocomplex)),
% 14.53/2.67 inference(cnf_transformation,[status(thm)],[f1115])).
% 14.53/2.67 fof(f4526,plain,(
% 14.53/2.67 class_Rings_Oidom(tc_Complex_Ocomplex)),
% 14.53/2.67 inference(cnf_transformation,[status(thm)],[f1122])).
% 14.53/2.67 fof(f4635,plain,(
% 14.53/2.67 ![X0]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 14.53/2.67 inference(cnf_transformation,[status(thm)],[f1180])).
% 14.53/2.67 fof(f4636,plain,(
% 14.53/2.67 ~v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 14.53/2.67 inference(cnf_transformation,[status(thm)],[f1182])).
% 14.53/2.67 fof(f4905,plain,(
% 14.53/2.67 ~v_q=v_p),
% 14.53/2.67 inference(forward_demodulation,[status(thm)],[f1186,f4636])).
% 14.53/2.67 fof(f4921,plain,(
% 14.53/2.67 ![X0]: (~hAPP(X0,sK0_skl(X0,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q)))=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|X0=c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q))),
% 14.53/2.67 inference(paramodulation,[status(thm)],[f4635,f1185])).
% 14.53/2.67 fof(f4976,plain,(
% 14.53/2.67 ![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))),
% 14.53/2.67 inference(resolution,[status(thm)],[f4506,f1189])).
% 14.53/2.67 fof(f4981,plain,(
% 14.53/2.67 ![X0]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 14.53/2.67 inference(forward_demodulation,[status(thm)],[f1186,f4976])).
% 14.53/2.67 fof(f5005,plain,(
% 14.53/2.67 ![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)),
% 14.53/2.67 inference(resolution,[status(thm)],[f4526,f1198])).
% 14.53/2.67 fof(f5007,plain,(
% 14.53/2.67 ![X0,X1]: (~c_Polynomial_Opoly(tc_Complex_Ocomplex,X0)=c_Polynomial_Opoly(tc_Complex_Ocomplex,X1)|X0=X1)),
% 14.53/2.67 inference(forward_subsumption_resolution,[status(thm)],[f5005,f4519])).
% 14.53/2.67 fof(f6525,plain,(
% 14.53/2.67 c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p)=c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q)),
% 14.53/2.67 inference(resolution,[status(thm)],[f4981,f4921])).
% 14.53/2.67 fof(f6541,plain,(
% 14.53/2.67 v_p=v_q),
% 14.53/2.67 inference(resolution,[status(thm)],[f6525,f5007])).
% 14.53/2.67 fof(f6546,plain,(
% 14.53/2.67 $false),
% 14.53/2.67 inference(forward_subsumption_resolution,[status(thm)],[f6541,f4905])).
% 14.53/2.67 % SZS output end CNFRefutation for theBenchmark.p
% 14.53/2.72 % Elapsed time: 2.264074 seconds
% 14.53/2.72 % CPU time: 16.345245 seconds
% 14.53/2.72 % Total memory used: 321.592 MB
% 14.53/2.72 % Net memory used: 318.313 MB
%------------------------------------------------------------------------------