%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG434-1 : 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 : n026.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 0.15s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG434-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 13:23:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.15/0.42 % Drodi V4.1.1
% 0.15/0.45 % Refutation found
% 0.15/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.45 fof(f367,axiom,(
% 0.15/0.45 (![T_a,V_p,V_a,V_q]: (( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)| c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a))| ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f371,axiom,(
% 0.15/0.45 c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f375,negated_conjecture,(
% 0.15/0.45 ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f383,axiom,(
% 0.15/0.45 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f1122,plain,(
% 0.15/0.45 ![T_a,V_p,V_q]: ((~class_Ring__and__Field_Ocomm__semiring__1(T_a)|(![V_a]: c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a))))|~c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)))),
% 0.15/0.45 inference(miniscoping,[status(thm)],[f367])).
% 0.15/0.45 fof(f1123,plain,(
% 0.15/0.45 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ocomm__semiring__1(X0)|c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0))|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0)))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f1122])).
% 0.15/0.45 fof(f1130,plain,(
% 0.15/0.45 c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f371])).
% 0.15/0.45 fof(f1135,plain,(
% 0.15/0.45 ~c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f375])).
% 0.15/0.45 fof(f1143,plain,(
% 0.15/0.45 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f383])).
% 0.15/0.45 fof(f1202,plain,(
% 0.15/0.45 ![X0]: (~class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)|c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Polynomial_Osmult(X0,v_q,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
% 0.15/0.45 inference(resolution,[status(thm)],[f1130,f1123])).
% 0.15/0.45 fof(f1203,plain,(
% 0.15/0.45 ![X0]: (c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Polynomial_Osmult(X0,v_q,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
% 0.15/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1202,f1143])).
% 0.15/0.45 fof(f1207,plain,(
% 0.15/0.45 $false),
% 0.15/0.45 inference(backward_subsumption_resolution,[status(thm)],[f1135,f1203])).
% 0.15/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.52 % Elapsed time: 0.135533 seconds
% 0.15/0.52 % CPU time: 0.163914 seconds
% 0.15/0.52 % Total memory used: 12.981 MB
% 0.15/0.52 % Net memory used: 12.949 MB
%------------------------------------------------------------------------------