%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG348-1 : 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 : n006.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 11:50:04 AM UTC 2026
% Result : Unsatisfiable 0.14s 5.84s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG348-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.58 % Computer : n006.cluster.edu
% 0.10/5.58 % Model : x86_64 x86_64
% 0.10/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.58 % Memory : 8046.5625MB
% 0.10/5.58 % OS : Linux 6.8.0-71-generic
% 0.10/5.58 % CPULimit : 300
% 0.10/5.58 % WCLimit : 300
% 0.10/5.58 % DateTime : Mon Sep 21 13:15:54 UTC 2026
% 0.10/5.58 % CPUTime :
% 0.14/5.65 % Drodi V4.1.1
% 0.14/5.84 % Refutation found
% 0.14/5.84 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.84 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.84 fof(f792,axiom,(
% 0.14/5.84 (![T_a,V_p,V_h,V_x]: (( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)| c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),V_x,T_a) = c_Polynomial_Opoly(V_p,c_HOL_Oplus__class_Oplus(V_h,V_x,T_a),T_a) ) ))),
% 0.14/5.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.84 fof(f802,negated_conjecture,(
% 0.14/5.84 c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_a,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_a,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
% 0.14/5.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.84 fof(f910,axiom,(
% 0.14/5.84 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 0.14/5.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.84 fof(f2340,plain,(
% 0.14/5.84 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__0(T_a)|(![V_p,V_h,V_x]: c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),V_x,T_a)=c_Polynomial_Opoly(V_p,c_HOL_Oplus__class_Oplus(V_h,V_x,T_a),T_a)))),
% 0.14/5.84 inference(miniscoping,[status(thm)],[f792])).
% 0.14/5.84 fof(f2341,plain,(
% 0.14/5.84 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ocomm__semiring__0(X0)|c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0),X3,X0)=c_Polynomial_Opoly(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0))),
% 0.14/5.84 inference(cnf_transformation,[status(thm)],[f2340])).
% 0.14/5.84 fof(f2360,plain,(
% 0.14/5.84 ~c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_a,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex)=c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_a,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
% 0.14/5.84 inference(cnf_transformation,[status(thm)],[f802])).
% 0.14/5.84 fof(f2468,plain,(
% 0.14/5.84 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)),
% 0.14/5.84 inference(cnf_transformation,[status(thm)],[f910])).
% 0.14/5.84 fof(f2542,plain,(
% 0.14/5.84 ![X0,X1,X2]: (c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)=c_Polynomial_Opoly(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex))),
% 0.14/5.84 inference(resolution,[status(thm)],[f2468,f2341])).
% 0.14/5.84 fof(f2752,plain,(
% 0.14/5.84 ~c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_a,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_a,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
% 0.14/5.84 inference(backward_demodulation,[status(thm)],[f2542,f2360])).
% 0.14/5.84 fof(f2753,plain,(
% 0.14/5.84 $false),
% 0.14/5.84 inference(trivial_equality_resolution,[status(thm)],[f2752])).
% 0.14/5.84 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.87 % Elapsed time: 0.266794 seconds
% 0.14/5.87 % CPU time: 1.509288 seconds
% 0.14/5.87 % Total memory used: 180.442 MB
% 0.14/5.87 % Net memory used: 179.276 MB
%------------------------------------------------------------------------------