%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG421-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 11:50:10 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG421-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n001.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 13:26:29 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.40 % Drodi V4.1.1
% 0.10/0.45 % Refutation found
% 0.10/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.45 fof(f708,axiom,(
% 0.10/0.45 (![T_a,V_p,V_q,V_x]: (( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)| c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f710,axiom,(
% 0.10/0.45 (![T_a,V_p,V_n,V_x]: (( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)| c_Polynomial_Opoly(c_Power_Opower__class_Opower(V_p,V_n,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_Power_Opower__class_Opower(c_Polynomial_Opoly(V_p,V_x,T_a),V_n,T_a) ) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f713,axiom,(
% 0.10/0.45 c_Power_Opower__class_Opower(v_r____,c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f732,negated_conjecture,(
% 0.10/0.45 c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_s____,v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_u____,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_Polynomial_Opoly(v_r____,v_x,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f771,axiom,(
% 0.10/0.45 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f772,axiom,(
% 0.10/0.45 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f2019,plain,(
% 0.10/0.45 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__0(T_a)|(![V_p,V_q,V_x]: c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a)=c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a)))),
% 0.10/0.45 inference(miniscoping,[status(thm)],[f708])).
% 0.10/0.45 fof(f2020,plain,(
% 0.10/0.45 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ocomm__semiring__0(X0)|c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),X3,X0)=c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X1,X3,X0),c_Polynomial_Opoly(X2,X3,X0),X0))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f2019])).
% 0.10/0.45 fof(f2023,plain,(
% 0.10/0.45 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__1(T_a)|(![V_p,V_n,V_x]: c_Polynomial_Opoly(c_Power_Opower__class_Opower(V_p,V_n,tc_Polynomial_Opoly(T_a)),V_x,T_a)=c_Power_Opower__class_Opower(c_Polynomial_Opoly(V_p,V_x,T_a),V_n,T_a)))),
% 0.10/0.45 inference(miniscoping,[status(thm)],[f710])).
% 0.10/0.45 fof(f2024,plain,(
% 0.10/0.45 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ocomm__semiring__1(X0)|c_Polynomial_Opoly(c_Power_Opower__class_Opower(X1,X2,tc_Polynomial_Opoly(X0)),X3,X0)=c_Power_Opower__class_Opower(c_Polynomial_Opoly(X1,X3,X0),X2,X0))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f2023])).
% 0.10/0.45 fof(f2028,plain,(
% 0.10/0.45 c_Power_Opower__class_Opower(v_r____,c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex))=c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f713])).
% 0.10/0.45 fof(f2063,plain,(
% 0.10/0.45 ~c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_s____,v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_u____,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_Polynomial_Opoly(v_r____,v_x,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f732])).
% 0.10/0.45 fof(f2102,plain,(
% 0.10/0.45 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f771])).
% 0.10/0.45 fof(f2103,plain,(
% 0.10/0.45 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f772])).
% 0.10/0.45 fof(f2178,plain,(
% 0.10/0.45 ![X0,X1,X2]: (c_Polynomial_Opoly(c_Power_Opower__class_Opower(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_Polynomial_Opoly(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex))),
% 0.10/0.46 inference(resolution,[status(thm)],[f2024,f2102])).
% 0.10/0.46 fof(f2179,plain,(
% 0.10/0.46 ![X0]: (c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_Polynomial_Opoly(v_r____,X0,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f2028,f2178])).
% 0.10/0.46 fof(f2205,plain,(
% 0.10/0.46 ~c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_s____,v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_u____,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x,tc_Complex_Ocomplex)),
% 0.10/0.46 inference(backward_demodulation,[status(thm)],[f2179,f2063])).
% 0.10/0.46 fof(f3340,plain,(
% 0.10/0.46 ![X0,X1,X2]: (c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Complex_Ocomplex)=c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X0,X2,tc_Complex_Ocomplex),c_Polynomial_Opoly(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex))),
% 0.10/0.46 inference(resolution,[status(thm)],[f2103,f2020])).
% 0.10/0.46 fof(f3344,plain,(
% 0.10/0.46 ~c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x,tc_Complex_Ocomplex)=c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x,tc_Complex_Ocomplex)),
% 0.10/0.46 inference(backward_demodulation,[status(thm)],[f3340,f2205])).
% 0.10/0.46 fof(f3351,plain,(
% 0.10/0.46 $false),
% 0.10/0.46 inference(trivial_equality_resolution,[status(thm)],[f3344])).
% 0.10/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.49 % Elapsed time: 0.104873 seconds
% 0.10/0.49 % CPU time: 0.424263 seconds
% 0.10/0.49 % Total memory used: 149.770 MB
% 0.10/0.49 % Net memory used: 149.145 MB
%------------------------------------------------------------------------------