%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG438-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 11:50:11 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG438-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 13:24:02 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 0.12/0.44 % Refutation found
% 0.12/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.44 fof(f248,axiom,(
% 0.12/0.44 (![T_a,V_a,V_p,V_q]: (( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)| c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_q,T_a),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a),tc_Polynomial_Opoly(T_a)) ) ))),
% 0.12/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f331,negated_conjecture,(
% 0.12/0.44 c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 0.12/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f342,axiom,(
% 0.12/0.44 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 0.12/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f798,plain,(
% 0.12/0.44 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__0(T_a)|(![V_a,V_p,V_q]: c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a))=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_q,T_a),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a),tc_Polynomial_Opoly(T_a))))),
% 0.12/0.44 inference(miniscoping,[status(thm)],[f248])).
% 0.12/0.44 fof(f799,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ocomm__semiring__0(X0)|c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(X1,X2,X0),X3,tc_Polynomial_Opoly(X0))=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X3,X0),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),X0),tc_Polynomial_Opoly(X0)))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f798])).
% 0.12/0.44 fof(f962,plain,(
% 0.12/0.44 ~c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f331])).
% 0.12/0.44 fof(f973,plain,(
% 0.12/0.44 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f342])).
% 0.12/0.44 fof(f1032,plain,(
% 0.12/0.44 ![X0,X1,X2]: (c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(X0,X1,tc_Complex_Ocomplex),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X0,X2,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
% 0.12/0.44 inference(resolution,[status(thm)],[f799,f973])).
% 0.12/0.44 fof(f1050,plain,(
% 0.12/0.44 ~c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))=c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.12/0.44 inference(backward_demodulation,[status(thm)],[f1032,f962])).
% 0.12/0.44 fof(f1057,plain,(
% 0.12/0.44 $false),
% 0.12/0.44 inference(trivial_equality_resolution,[status(thm)],[f1050])).
% 0.12/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.45 % Elapsed time: 0.091231 seconds
% 0.12/0.45 % CPU time: 0.240848 seconds
% 0.12/0.45 % Total memory used: 75.588 MB
% 0.12/0.45 % Net memory used: 75.330 MB
%------------------------------------------------------------------------------