%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG384-1 : 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 : n003.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 11:50:07 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG384-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n003.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 13:20:01 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.24/0.50 % Drodi V4.1.1
% 0.24/0.62 % Refutation found
% 0.24/0.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.24/0.62 % SZS output start CNFRefutation for theBenchmark
% 0.24/0.62 fof(f485,axiom,(
% 0.24/0.62 (![T_a,V_x]: (( ~ class_RealVector_Oreal__normed__vector(T_a)| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal)| V_x = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 0.24/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.62 fof(f496,axiom,(
% 0.24/0.62 v_c____ != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 0.24/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.62 fof(f497,negated_conjecture,(
% 0.24/0.62 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
% 0.24/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.62 fof(f563,axiom,(
% 0.24/0.62 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 0.24/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.62 fof(f1346,plain,(
% 0.24/0.62 ![X0,X1]: (~class_RealVector_Oreal__normed__vector(X0)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)|X1=c_HOL_Ozero__class_Ozero(X0))),
% 0.24/0.62 inference(cnf_transformation,[status(thm)],[f485])).
% 0.24/0.62 fof(f1362,plain,(
% 0.24/0.62 ~v_c____=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 0.24/0.62 inference(cnf_transformation,[status(thm)],[f496])).
% 0.24/0.62 fof(f1363,plain,(
% 0.24/0.62 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal)),
% 0.24/0.62 inference(cnf_transformation,[status(thm)],[f497])).
% 0.24/0.62 fof(f1429,plain,(
% 0.24/0.62 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)),
% 0.24/0.62 inference(cnf_transformation,[status(thm)],[f563])).
% 0.24/0.62 fof(f1507,plain,(
% 0.24/0.62 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal)|X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 0.24/0.62 inference(resolution,[status(thm)],[f1346,f1429])).
% 0.24/0.62 fof(f1508,plain,(
% 0.24/0.62 v_c____=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 0.24/0.62 inference(resolution,[status(thm)],[f1507,f1363])).
% 0.24/0.62 fof(f1509,plain,(
% 0.24/0.62 $false),
% 0.24/0.62 inference(forward_subsumption_resolution,[status(thm)],[f1508,f1362])).
% 0.24/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.64 % Elapsed time: 0.195007 seconds
% 0.24/0.64 % CPU time: 0.874824 seconds
% 0.24/0.64 % Total memory used: 138.009 MB
% 0.24/0.64 % Net memory used: 137.324 MB
%------------------------------------------------------------------------------