%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW272+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 : n003.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 03:08:53 PM UTC 2026
% Result : Theorem 0.25s 0.80s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW272+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 09:46:48 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.25/0.53 % Drodi V4.1.1
% 0.25/0.80 % Refutation found
% 0.25/0.80 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.25/0.80 % SZS output start CNFRefutation for theBenchmark
% 0.25/0.80 fof(f2,axiom,(
% 0.25/0.80 v_pa____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 0.25/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.80 fof(f62,axiom,(
% 0.25/0.80 v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____) ),
% 0.25/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.80 fof(f186,axiom,(
% 0.25/0.80 (! [T_a] :( class_Rings_Ocomm__semiring__1(T_a)=> c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) )),
% 0.25/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.80 fof(f194,axiom,(
% 0.25/0.80 (! [V_p,T_a] :( class_Rings_Ocomm__semiring__0(T_a)=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) )),
% 0.25/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.80 fof(f1121,axiom,(
% 0.25/0.80 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 0.25/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.80 fof(f1122,axiom,(
% 0.25/0.80 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 0.25/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.80 fof(f1206,conjecture,(
% 0.25/0.80 v_s____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 0.25/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.80 fof(f1207,negated_conjecture,(
% 0.25/0.80 ~(v_s____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )),
% 0.25/0.80 inference(negated_conjecture,[status(cth)],[f1206])).
% 0.25/0.80 fof(f1211,plain,(
% 0.25/0.80 ~v_pa____=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.25/0.80 inference(cnf_transformation,[status(thm)],[f2])).
% 0.25/0.80 fof(f1414,plain,(
% 0.25/0.80 v_pa____=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____)),
% 0.25/0.80 inference(cnf_transformation,[status(thm)],[f62])).
% 0.25/0.80 fof(f1856,plain,(
% 0.25/0.80 ![T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))=c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),
% 0.25/0.80 inference(pre_NNF_transformation,[status(thm)],[f186])).
% 0.25/0.80 fof(f1857,plain,(
% 0.25/0.80 ![X0]: (~class_Rings_Ocomm__semiring__1(X0)|c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))=c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))))),
% 0.25/0.80 inference(cnf_transformation,[status(thm)],[f1856])).
% 0.25/0.80 fof(f1886,plain,(
% 0.25/0.80 ![V_p,T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))),
% 0.25/0.80 inference(pre_NNF_transformation,[status(thm)],[f194])).
% 0.25/0.80 fof(f1887,plain,(
% 0.25/0.80 ![T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(![V_p]: hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),
% 0.25/0.80 inference(miniscoping,[status(thm)],[f1886])).
% 0.25/0.80 fof(f1888,plain,(
% 0.25/0.80 ![X0,X1]: (~class_Rings_Ocomm__semiring__0(X0)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),
% 1.76/0.82 inference(cnf_transformation,[status(thm)],[f1887])).
% 1.76/0.82 fof(f4517,plain,(
% 1.76/0.82 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)),
% 1.76/0.82 inference(cnf_transformation,[status(thm)],[f1121])).
% 1.76/0.82 fof(f4518,plain,(
% 1.76/0.82 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)),
% 1.76/0.82 inference(cnf_transformation,[status(thm)],[f1122])).
% 1.76/0.82 fof(f4660,plain,(
% 1.76/0.82 v_s____=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 1.76/0.82 inference(cnf_transformation,[status(thm)],[f1207])).
% 1.76/0.82 fof(f4826,plain,(
% 1.76/0.82 v_pa____=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_s____))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____)),
% 1.76/0.82 inference(forward_demodulation,[status(thm)],[f4660,f1414])).
% 1.76/0.82 fof(f4828,plain,(
% 1.76/0.82 ~v_pa____=v_s____),
% 1.76/0.82 inference(forward_demodulation,[status(thm)],[f4660,f1211])).
% 1.76/0.82 fof(f5219,plain,(
% 1.76/0.82 c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex))=c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
% 1.76/0.82 inference(resolution,[status(thm)],[f1857,f4517])).
% 1.76/0.82 fof(f5222,plain,(
% 1.76/0.82 c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex))=c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_s____)),
% 1.76/0.82 inference(forward_demodulation,[status(thm)],[f4660,f5219])).
% 1.76/0.82 fof(f5240,plain,(
% 1.76/0.82 v_pa____=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____)),
% 1.76/0.82 inference(backward_demodulation,[status(thm)],[f5222,f4826])).
% 1.76/0.82 fof(f5310,plain,(
% 1.76/0.82 ![X0]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
% 1.76/0.82 inference(resolution,[status(thm)],[f1888,f4518])).
% 1.76/0.82 fof(f5313,plain,(
% 1.76/0.82 ![X0]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),v_s____)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
% 1.76/0.82 inference(forward_demodulation,[status(thm)],[f4660,f5310])).
% 1.76/0.82 fof(f5314,plain,(
% 1.76/0.82 ![X0]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),v_s____)=v_s____)),
% 1.76/0.82 inference(forward_demodulation,[status(thm)],[f4660,f5313])).
% 1.76/0.82 fof(f5323,plain,(
% 1.76/0.82 v_pa____=v_s____),
% 1.76/0.82 inference(backward_demodulation,[status(thm)],[f5314,f5240])).
% 1.76/0.82 fof(f5328,plain,(
% 1.76/0.82 $false),
% 1.76/0.82 inference(forward_subsumption_resolution,[status(thm)],[f5323,f4828])).
% 1.76/0.82 % SZS output end CNFRefutation for theBenchmark.p
% 1.76/0.85 % Elapsed time: 0.459579 seconds
% 1.76/0.85 % CPU time: 2.255031 seconds
% 1.76/0.85 % Total memory used: 218.384 MB
% 1.76/0.85 % Net memory used: 217.081 MB
%------------------------------------------------------------------------------