%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG383-1 : 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 : n002.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 11:50:06 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG383-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.39 % Computer : n002.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 21 13:21:18 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.45 % Drodi V4.1.1
% 0.19/0.47 % Refutation found
% 0.19/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.47 fof(f780,axiom,(
% 0.19/0.47 c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
% 0.19/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.47 fof(f782,axiom,(
% 0.19/0.47 c_lessequals(v_da____,c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 0.19/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.47 fof(f788,axiom,(
% 0.19/0.47 (![V_i,V_k,V_j]: (( c_lessequals(V_i,V_k,tc_RealDef_Oreal)| ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal)| ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ))),
% 0.19/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.47 fof(f799,negated_conjecture,(
% 0.19/0.47 ~ c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
% 0.19/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.47 fof(f2244,plain,(
% 0.19/0.47 c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)),
% 0.19/0.47 inference(cnf_transformation,[status(thm)],[f780])).
% 0.19/0.47 fof(f2246,plain,(
% 0.19/0.47 c_lessequals(v_da____,c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 0.19/0.47 inference(cnf_transformation,[status(thm)],[f782])).
% 0.19/0.47 fof(f2254,plain,(
% 0.19/0.47 ![V_i,V_j]: ((![V_k]: (c_lessequals(V_i,V_k,tc_RealDef_Oreal)|~c_lessequals(V_j,V_k,tc_RealDef_Oreal)))|~c_lessequals(V_i,V_j,tc_RealDef_Oreal))),
% 0.19/0.47 inference(miniscoping,[status(thm)],[f788])).
% 0.19/0.47 fof(f2255,plain,(
% 0.19/0.47 ![X0,X1,X2]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_lessequals(X2,X1,tc_RealDef_Oreal)|~c_lessequals(X0,X2,tc_RealDef_Oreal))),
% 0.19/0.47 inference(cnf_transformation,[status(thm)],[f2254])).
% 0.19/0.47 fof(f2270,plain,(
% 0.19/0.47 ~c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)),
% 0.19/0.47 inference(cnf_transformation,[status(thm)],[f799])).
% 0.19/0.47 fof(f2473,plain,(
% 0.19/0.47 ![X0]: (~c_lessequals(X0,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)|~c_lessequals(v_da____,X0,tc_RealDef_Oreal))),
% 0.19/0.47 inference(resolution,[status(thm)],[f2255,f2270])).
% 0.19/0.47 fof(f2477,plain,(
% 0.19/0.47 ~c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)),
% 0.19/0.47 inference(resolution,[status(thm)],[f2473,f2246])).
% 0.19/0.47 fof(f2484,plain,(
% 0.19/0.47 $false),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f2477,f2244])).
% 0.19/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.50 % Elapsed time: 0.104607 seconds
% 0.19/0.50 % CPU time: 0.214355 seconds
% 0.19/0.50 % Total memory used: 65.650 MB
% 0.19/0.50 % Net memory used: 65.426 MB
%------------------------------------------------------------------------------