%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV629-1 : 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 : n011.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 02:52:56 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV629-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.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 09:15:11 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.40 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.42 fof(f311,axiom,(
% 0.10/0.42 (![T_a,V_a]: (( ~ class_OrderedGroup_Omonoid__mult(T_a)| c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_a ) ))),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f334,axiom,(
% 0.10/0.42 (![V_n]: (c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(V_n),V_n,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ))),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f352,negated_conjecture,(
% 0.10/0.42 c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f383,axiom,(
% 0.10/0.42 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f884,plain,(
% 0.10/0.42 ![T_a]: (~class_OrderedGroup_Omonoid__mult(T_a)|(![V_a]: c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a)=V_a))),
% 0.10/0.42 inference(miniscoping,[status(thm)],[f311])).
% 0.10/0.42 fof(f885,plain,(
% 0.10/0.42 ![X0,X1]: (~class_OrderedGroup_Omonoid__mult(X0)|c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0)=X1)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f884])).
% 0.10/0.42 fof(f916,plain,(
% 0.10/0.42 ![X0]: (c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),X0,tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f334])).
% 0.10/0.42 fof(f943,plain,(
% 0.10/0.42 ~c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f352])).
% 0.10/0.42 fof(f974,plain,(
% 0.10/0.42 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f383])).
% 0.10/0.42 fof(f1655,plain,(
% 0.10/0.42 ![X0]: (c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex)=X0)),
% 0.10/0.42 inference(resolution,[status(thm)],[f885,f974])).
% 0.10/0.42 fof(f1657,plain,(
% 0.10/0.42 c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)=c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f916,f1655])).
% 0.10/0.42 fof(f1659,plain,(
% 0.10/0.42 $false),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1657,f943])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.45 % Elapsed time: 0.065682 seconds
% 0.10/0.45 % CPU time: 0.169995 seconds
% 0.10/0.45 % Total memory used: 49.372 MB
% 0.10/0.45 % Net memory used: 49.285 MB
%------------------------------------------------------------------------------