%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG362-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 09:46:15 AM UTC 2025
% Result : Unsatisfiable 9.16s 1.52s
% Output : CNFRefutation 9.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(674,plain,
~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[674]) ).
cnf(466,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
| ~ class_OrderedGroup_Ocomm__monoid__add(X2)
| c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2) ),
inference(cnf,[status(esa)],[cls_add__increasing2_0]) ).
cnf(l1,plain,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)
| ~ class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[466]) ).
cnf(706,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
inference(cnf,[status(esa)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le]) ).
cnf(l10,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[706]) ).
cnf(740,plain,
class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
inference(cnf,[status(esa)],[clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add]) ).
cnf(l22,plain,
class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[740]) ).
cnf(631,plain,
( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X0,X2,tc_RealDef_Oreal) ),
inference(cnf,[status(esa)],[cls_real__le__trans_0]) ).
cnf(l3,plain,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(hAPP(v_s,v_n____),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,v_n____),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[631]) ).
cnf(672,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,v_n____),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
inference(cnf,[status(esa)],[cls_CHAINED_0]) ).
cnf(l6,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,v_n____),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[672]) ).
cnf(623,plain,
c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(X0),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(cnf,[status(esa)],[cls_abs__Re__le__cmod_0]) ).
cnf(l5,plain,
c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(hAPP(v_s,v_n____),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[623]) ).
cnf(309,plain,
c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cnf,[status(esa)],[cls_sin__zero_0]) ).
cnf(l9,plain,
c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[309]) ).
cnf(604,plain,
c_lessequals(c_Transcendental_Osin(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf,[status(esa)],[cls_sin__le__one_0]) ).
cnf(l7,plain,
c_lessequals(c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[604]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l10,l22,l3,l6,l5,l9,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG362-1 : TPTP v9.0.0. Released v4.1.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 03:29:19 EDT 2025
% 0.20/0.34 % CPUTime :
% 0.20/0.37 % launching worker at depth: 1
% 0.20/0.37 % launching worker at depth: 3
% 0.20/0.37 % launching worker at depth: 6
% 0.20/0.37 % launching worker at depth: 5
% 0.20/0.37 % launching worker at depth: 4
% 0.20/0.37 % launching worker at depth: 2
% 0.20/0.37 % launching worker at depth: 7
% 0.20/0.37 % launching worker at depth: 8
% 0.20/0.37 % launching worker at depth: 9
% 0.20/0.48 % launching worker at depth: 10
% 9.16/1.52 % SZS status Theorem for theBenchmark
% 9.16/1.52 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------