%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ANA015-2 : 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 : n021.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 36.64s 4.99s
% Output : CNFRefutation 36.64s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_2)
% Comments :
%------------------------------------------------------------------------------
cnf(5,plain,
~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(X0)),t_a),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_a),t_a),t_a),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l0,plain,
~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),t_a),c_times(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a),c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),t_a),t_a),
inference(instantiation,[status(thm)],[5]) ).
cnf(2,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Oabs(c_times(X1,X2,X0),X0) = c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) ),
inference(cnf,[status(esa)],[cls_Ring__and__Field_Oabs__mult_0]) ).
cnf(l229,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),t_a) = c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),c_HOL_Oabs(v_g(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),t_a) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,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(l328,plain,
( ~ c_lessequals(c_HOL_Oabs(v_g(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),c_times(v_d,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),t_a),t_a)
| ~ c_lessequals(c_0,c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),t_a)
| ~ class_Ring__and__Field_Opordered__semiring(t_a)
| c_lessequals(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),c_HOL_Oabs(v_g(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),t_a),c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),c_times(v_d,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),t_a),t_a),t_a) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(4,plain,
c_lessequals(c_HOL_Oabs(v_g(X0),t_a),c_times(v_d,c_HOL_Oabs(v_f(X0),t_a),t_a),t_a),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l332,plain,
c_lessequals(c_HOL_Oabs(v_g(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),c_times(v_d,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),t_a),t_a),
inference(instantiation,[status(thm)],[4]) ).
cnf(8,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf,[status(esa)],[clsrel_Ring__and__Field_Oordered__field_34]) ).
cnf(l251,plain,
( ~ class_Ring__and__Field_Oordered__field(t_a)
| class_Ring__and__Field_Oordered__idom(t_a) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(11,plain,
class_Ring__and__Field_Oordered__field(t_a),
inference(cnf,[status(esa)],[tfree_tcs]) ).
cnf(l262,plain,
class_Ring__and__Field_Oordered__field(t_a),
inference(instantiation,[status(thm)],[11]) ).
cnf(0,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(l329,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| c_lessequals(c_0,c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),t_a) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
( ~ class_OrderedGroup_Osemigroup__mult(X0)
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
inference(cnf,[status(esa)],[cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0]) ).
cnf(l10,plain,
( ~ class_OrderedGroup_Osemigroup__mult(t_a)
| c_times(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a),c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),t_a) = c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),c_times(v_d,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),t_a),t_a) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(10,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(cnf,[status(esa)],[clsrel_Ring__and__Field_Oordered__field_47]) ).
cnf(l331,plain,
( ~ class_Ring__and__Field_Oordered__field(t_a)
| class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(9,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Ring__and__Field_Opordered__semiring(X0) ),
inference(cnf,[status(esa)],[clsrel_Ring__and__Field_Oordered__field_46]) ).
cnf(l334,plain,
( ~ class_Ring__and__Field_Oordered__field(t_a)
| class_Ring__and__Field_Opordered__semiring(t_a) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l356,plain,
class_Ring__and__Field_Oordered__field(t_a),
inference(instantiation,[status(thm)],[11]) ).
cnf(l362,plain,
class_Ring__and__Field_Oordered__field(t_a),
inference(instantiation,[status(thm)],[11]) ).
cnf(6,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| class_OrderedGroup_Osemigroup__mult(X0) ),
inference(cnf,[status(esa)],[clsrel_Ring__and__Field_Ofield_21]) ).
cnf(l11,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| class_OrderedGroup_Osemigroup__mult(t_a) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Ring__and__Field_Ofield(X0) ),
inference(cnf,[status(esa)],[clsrel_Ring__and__Field_Oordered__field_0]) ).
cnf(l27,plain,
( ~ class_Ring__and__Field_Oordered__field(t_a)
| class_Ring__and__Field_Ofield(t_a) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l30,plain,
class_Ring__and__Field_Oordered__field(t_a),
inference(instantiation,[status(thm)],[11]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l229,l328,l332,l251,l262,l329,l10,l331,l334,l356,l362,l11,l27,l30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ANA015-2 : TPTP v9.0.0. Released v3.2.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n021.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 03:50:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 0.19/0.52 % launching worker at depth: 12
% 5.88/1.18 % launching worker at depth: 13
% 36.64/4.99 % SZS status Theorem for theBenchmark
% 36.64/4.99 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------