%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ANA043-2 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n029.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 09:50:34 AM UTC 2025
% Result : Unsatisfiable 0.18s 0.43s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(0,plain,
c_lessequals(c_HOL_Oabs(v_f(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
c_lessequals(c_HOL_Oabs(v_f(v_k(v_x(v_c),v_xa(v_c))),t_b),c_times(v_c,c_HOL_Oabs(v_h(v_k(v_x(v_c),v_xa(v_c))),t_b),t_b),t_b),
inference(instantiation,[status(thm)],[0]) ).
cnf(5,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(c_0,X3,X2)
| ~ class_Ring__and__Field_Opordered__semiring(X2)
| c_lessequals(c_times(X3,X0,X2),c_times(X3,X1,X2),X2) ),
inference(cnf,[status(esa)],[cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0]) ).
cnf(l1,plain,
( ~ c_lessequals(c_HOL_Oabs(v_f(v_k(v_x(v_c),v_xa(v_c))),t_b),c_times(v_c,c_HOL_Oabs(v_h(v_k(v_x(v_c),v_xa(v_c))),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_l(v_x(v_c),v_xa(v_c)),t_b),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b)
| c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(v_c),v_xa(v_c)),t_b),c_HOL_Oabs(v_f(v_k(v_x(v_c),v_xa(v_c))),t_b),t_b),c_times(c_HOL_Oabs(v_l(v_x(v_c),v_xa(v_c)),t_b),c_times(v_c,c_HOL_Oabs(v_h(v_k(v_x(v_c),v_xa(v_c))),t_b),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(3,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
inference(cnf,[status(esa)],[cls_OrderedGroup_Oabs__ge__zero_0]) ).
cnf(l2,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(c_0,c_HOL_Oabs(v_l(v_x(v_c),v_xa(v_c)),t_b),t_b) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(4,plain,
( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
| c_times(X1,c_times(X2,X3,X0),X0) = c_times(X2,c_times(X1,X3,X0),X0) ),
inference(cnf,[status(esa)],[cls_OrderedGroup_Omult__left__commute_0]) ).
cnf(l7,plain,
( ~ class_OrderedGroup_Oab__semigroup__mult(t_b)
| c_times(c_HOL_Oabs(v_l(v_x(v_c),v_xa(v_c)),t_b),c_times(v_c,c_HOL_Oabs(v_h(v_k(v_x(v_c),v_xa(v_c))),t_b),t_b),t_b) = c_times(v_c,c_times(c_HOL_Oabs(v_l(v_x(v_c),v_xa(v_c)),t_b),c_HOL_Oabs(v_h(v_k(v_x(v_c),v_xa(v_c))),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(8,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(cnf,[status(esa)],[clsrel_Ring__and__Field_Oordered__idom_50]) ).
cnf(l4,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(7,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Opordered__semiring(X0) ),
inference(cnf,[status(esa)],[clsrel_Ring__and__Field_Oordered__idom_42]) ).
cnf(l6,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(2,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf,[status(esa)],[tfree_tcs]) ).
cnf(l12,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[2]) ).
cnf(l21,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[2]) ).
cnf(6,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__semigroup__mult(X0) ),
inference(cnf,[status(esa)],[clsrel_Ring__and__Field_Oordered__idom_17]) ).
cnf(l14,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Oab__semigroup__mult(t_b) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l27,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
~ c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X0),v_xa(X0))),t_b),t_b),c_times(X0,c_times(c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),c_HOL_Oabs(v_h(v_k(v_x(X0),v_xa(X0))),t_b),t_b),t_b),t_b),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l5,plain,
~ c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(v_c),v_xa(v_c)),t_b),c_HOL_Oabs(v_f(v_k(v_x(v_c),v_xa(v_c))),t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(v_l(v_x(v_c),v_xa(v_c)),t_b),c_HOL_Oabs(v_h(v_k(v_x(v_c),v_xa(v_c))),t_b),t_b),t_b),t_b),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l7,l4,l6,l12,l21,l14,l27,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ANA043-2 : TPTP v9.0.0. Released v3.2.0.
% 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 03:59:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.36 % launching worker at depth: 11
% 0.18/0.43 % SZS status Theorem for theBenchmark
% 0.18/0.43 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------