%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG382-1 : 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 : n022.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 09:46:17 AM UTC 2025
% Result : Unsatisfiable 97.19s 12.60s
% Output : CNFRefutation 97.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(841,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),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),tc_RealDef_Oreal),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),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),tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[841]) ).
cnf(722,plain,
( ~ c_lessequals(X0,X1,X2)
| c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| c_lessequals(X4,X3,X2) ),
inference(cnf,[status(esa)],[cls_le__eqI_1]) ).
cnf(l1,plain,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,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_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),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_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ominus__class_Ominus(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),c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),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),tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[722]) ).
cnf(858,plain,
class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
inference(cnf,[status(esa)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add]) ).
cnf(l10,plain,
class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[858]) ).
cnf(821,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = X0,
inference(cnf,[status(esa)],[cls_real__mult__1_0]) ).
cnf(l5,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),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_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),
inference(instantiation,[status(thm)],[821]) ).
cnf(840,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,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_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(cnf,[status(esa)],[cls_CHAINED_0]) ).
cnf(l6,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,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_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[840]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l10,l5,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG382-1 : TPTP v9.0.0. Released v4.1.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 03:31:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.18/0.37 % launching worker at depth: 1
% 0.18/0.37 % launching worker at depth: 2
% 0.18/0.37 % launching worker at depth: 3
% 0.18/0.37 % launching worker at depth: 4
% 0.18/0.37 % launching worker at depth: 5
% 0.18/0.37 % launching worker at depth: 7
% 0.18/0.37 % launching worker at depth: 6
% 0.18/0.37 % launching worker at depth: 8
% 0.18/0.38 % launching worker at depth: 9
% 0.18/0.52 % launching worker at depth: 10
% 97.19/12.60 % SZS status Theorem for theBenchmark
% 97.19/12.60 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------