%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG406-1 : 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 : n027.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 09:46:19 AM UTC 2025
% Result : Unsatisfiable 5.82s 1.14s
% Output : CNFRefutation 5.82s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(558,plain,
~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[558]) ).
cnf(458,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(X3,X4,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Opordered__semiring(X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) ),
inference(cnf,[status(esa)],[cls_mult__mono_H_0]) ).
cnf(l1,plain,
( ~ c_lessequals(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[458]) ).
cnf(340,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(cnf,[status(esa)],[cls_real__mult__le__cancel__iff1_0]) ).
cnf(l6,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),v_t____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),v_t____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[340]) ).
cnf(117,plain,
( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_lessequals(X0,X1,X2) ),
inference(cnf,[status(esa)],[cls_order__le__less_1]) ).
cnf(l2,plain,
( ~ c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Orderings_Oorder(tc_RealDef_Oreal)
| c_lessequals(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[117]) ).
cnf(644,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(cnf,[status(esa)],[clsarity_RealDef__Oreal__Orderings_Oorder]) ).
cnf(l3,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[644]) ).
cnf(26,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
inference(cnf,[status(esa)],[cls_t_I1_J_0]) ).
cnf(l10,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[26]) ).
cnf(507,plain,
c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf,[status(esa)],[cls_t_I2_J_0]) ).
cnf(l5,plain,
c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[507]) ).
cnf(607,plain,
class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
inference(cnf,[status(esa)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring]) ).
cnf(l22,plain,
class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[607]) ).
cnf(520,plain,
( c_lessequals(X0,X1,tc_RealDef_Oreal)
| c_lessequals(X1,X0,tc_RealDef_Oreal) ),
inference(cnf,[status(esa)],[cls_real__le__linear_0]) ).
cnf(l7,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),v_t____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),v_t____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),v_t____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),v_t____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[520]) ).
cnf(378,plain,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1) ),
inference(cnf,[status(esa)],[cls_neg__less__eq__nonneg_0]) ).
cnf(l17,plain,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[378]) ).
cnf(605,plain,
class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
inference(cnf,[status(esa)],[clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add]) ).
cnf(l18,plain,
class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[605]) ).
cnf(505,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(cnf,[status(esa)],[cls_complex__mod__minus__le__complex__mod_0]) ).
cnf(l21,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[505]) ).
cnf(333,plain,
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(cnf,[status(esa)],[cls_real__less__def_0]) ).
cnf(l4,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[333]) ).
cnf(l8,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[26]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l2,l3,l10,l5,l22,l7,l17,l18,l21,l4,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : ALG406-1 : TPTP v9.0.0. Released v4.1.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Jul 20 03:35:04 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % launching worker at depth: 2
% 0.14/0.37 % launching worker at depth: 5
% 0.14/0.37 % launching worker at depth: 3
% 0.14/0.37 % launching worker at depth: 4
% 0.14/0.37 % launching worker at depth: 1
% 0.14/0.37 % launching worker at depth: 6
% 0.14/0.37 % launching worker at depth: 7
% 0.14/0.37 % launching worker at depth: 8
% 0.14/0.37 % launching worker at depth: 9
% 0.20/0.48 % launching worker at depth: 10
% 5.82/1.14 % SZS status Theorem for theBenchmark
% 5.82/1.14 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------