%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG387-1 : 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 : n005.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 251.59s 32.26s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG387-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 13:18:49 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.42 % Drodi V4.1.1
% 251.59/32.26 % Refutation found
% 251.59/32.26 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 251.59/32.26 % SZS output start CNFRefutation for theBenchmark
% 251.59/32.26 fof(f681,axiom,(
% 251.59/32.26 (![V_x,V_r]: (( c_lessequals(V_x,V_r,tc_RealDef_Oreal)| ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) ) ))),
% 251.59/32.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 251.59/32.26 fof(f712,axiom,(
% 251.59/32.26 (![V_w]: (( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_w,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ))),
% 251.59/32.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 251.59/32.26 fof(f715,axiom,(
% 251.59/32.26 (![V_z]: (( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ))),
% 251.59/32.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 251.59/32.26 fof(f719,axiom,(
% 251.59/32.26 (![V_w,V_z]: (( c_lessequals(V_w,V_z,tc_RealDef_Oreal)| c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ))),
% 251.59/32.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 251.59/32.26 fof(f736,negated_conjecture,(
% 251.59/32.26 (![V_xa]: (~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),V_xa,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,V_xa),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ))),
% 251.59/32.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 251.59/32.26 fof(f1999,plain,(
% 251.59/32.26 ![X0,X1]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal))),
% 251.59/32.26 inference(cnf_transformation,[status(thm)],[f681])).
% 251.59/32.26 fof(f2048,plain,(
% 251.59/32.26 ![X0]: (c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)|~c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 251.59/32.26 inference(cnf_transformation,[status(thm)],[f712])).
% 251.59/32.26 fof(f2053,plain,(
% 251.59/32.26 ![X0]: (c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)|~c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal))),
% 251.59/32.26 inference(cnf_transformation,[status(thm)],[f715])).
% 251.59/32.26 fof(f2057,plain,(
% 251.59/32.26 ![X0,X1]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|c_lessequals(X1,X0,tc_RealDef_Oreal))),
% 251.59/32.26 inference(cnf_transformation,[status(thm)],[f719])).
% 251.59/32.26 fof(f2081,plain,(
% 251.59/32.26 ![X0]: (~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal))),
% 251.59/32.26 inference(cnf_transformation,[status(thm)],[f736])).
% 251.59/32.26 fof(f39329,plain,(
% 251.59/32.26 ![X0]: (c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)|c_lessequals(c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal))),
% 251.59/32.34 inference(resolution,[status(thm)],[f2048,f2057])).
% 251.59/32.34 fof(f40209,plain,(
% 251.59/32.34 c_lessequals(c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),tc_RealDef_Oreal)),
% 251.59/32.34 inference(resolution,[status(thm)],[f39329,f2081])).
% 251.59/32.34 fof(f40558,plain,(
% 251.59/32.34 c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),tc_RealDef_Oreal)),
% 251.59/32.34 inference(resolution,[status(thm)],[f40209,f1999])).
% 251.59/32.34 fof(f41797,plain,(
% 251.59/32.34 c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,v_v____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)),
% 251.59/32.34 inference(resolution,[status(thm)],[f40558,f2053])).
% 251.59/32.34 fof(f41829,plain,(
% 251.59/32.34 $false),
% 251.59/32.34 inference(forward_subsumption_resolution,[status(thm)],[f41797,f2081])).
% 251.59/32.34 % SZS output end CNFRefutation for theBenchmark.p
% 21.50/32.41 % Elapsed time: 32.018346 seconds
% 21.50/32.41 % CPU time: 252.574100 seconds
% 21.50/32.41 % Total memory used: 936.360 MB
% 21.50/32.41 % Net memory used: 877.441 MB
%------------------------------------------------------------------------------