%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ANA009-2 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 09:50:29 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_2)
% Comments :
%------------------------------------------------------------------------------
cnf(3,plain,
~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l0,plain,
~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
| c_lessequals(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2) ),
inference(cnf,[status(esa)],[cls_OrderedGroup_Oadd__le__cancel__right_1]) ).
cnf(l54,plain,
( ~ c_lessequals(v_lb(v_x),v_f(v_x),t_b)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
| c_lessequals(c_plus(v_lb(v_x),c_uminus(v_lb(v_x),t_b),t_b),c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
c_lessequals(v_lb(X0),v_f(X0),t_b),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l55,plain,
c_lessequals(v_lb(v_x),v_f(v_x),t_b),
inference(instantiation,[status(thm)],[2]) ).
cnf(4,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
inference(cnf,[status(esa)],[clsrel_Ring__and__Field_Oordered__idom_37]) ).
cnf(l56,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(6,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf,[status(esa)],[tfree_tcs]) ).
cnf(l58,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[6]) ).
cnf(1,plain,
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
inference(cnf,[status(esa)],[cls_OrderedGroup_Oright__minus_0]) ).
cnf(l2,plain,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_plus(v_lb(v_x),c_uminus(v_lb(v_x),t_b),t_b) = c_0 ),
inference(instantiation,[status(thm)],[1]) ).
cnf(5,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf,[status(esa)],[clsrel_Ring__and__Field_Oordered__idom_4]) ).
cnf(l11,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Oab__group__add(t_b) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l23,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[6]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l54,l55,l56,l58,l2,l11,l23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA009-2 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 03:48:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 0.19/0.39 % SZS status Theorem for theBenchmark
% 0.19/0.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------