%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ANA012-2 : 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 09:50:29 AM UTC 2025
% Result : Unsatisfiable 7.21s 1.24s
% Output : CNFRefutation 7.21s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_1)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
~ c_lessequals(c_1,c_times(X0,c_HOL_Oabs(v_c,t_a),t_a),t_a),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l0,plain,
~ c_lessequals(c_1,c_times(c_HOL_Oinverse(c_HOL_Oabs(v_c,t_a),t_a),c_HOL_Oabs(v_c,t_a),t_a),t_a),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
( ~ class_Orderings_Oorder(X0)
| c_lessequals(X1,X1,X0) ),
inference(cnf,[status(esa)],[cls_Orderings_Oorder__class_Oaxioms__1_0]) ).
cnf(l192,plain,
( ~ class_Orderings_Oorder(t_a)
| c_lessequals(c_times(c_HOL_Oinverse(c_HOL_Oabs(v_c,t_a),t_a),c_HOL_Oabs(v_c,t_a),t_a),c_times(c_HOL_Oinverse(c_HOL_Oabs(v_c,t_a),t_a),c_HOL_Oabs(v_c,t_a),t_a),t_a) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(8,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Orderings_Oorder(X0) ),
inference(cnf,[status(esa)],[clsrel_Ring__and__Field_Oordered__field_58]) ).
cnf(l194,plain,
( ~ class_Ring__and__Field_Oordered__field(t_a)
| class_Orderings_Oorder(t_a) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(2,plain,
class_Ring__and__Field_Oordered__field(t_a),
inference(cnf,[status(esa)],[tfree_tcs]) ).
cnf(l198,plain,
class_Ring__and__Field_Oordered__field(t_a),
inference(instantiation,[status(thm)],[2]) ).
cnf(5,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| X1 = c_0
| c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1 ),
inference(cnf,[status(esa)],[cls_Ring__and__Field_Ofield__class_Oaxioms__1_0]) ).
cnf(l2,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| c_HOL_Oabs(v_c,t_a) = c_0
| c_times(c_HOL_Oinverse(c_HOL_Oabs(v_c,t_a),t_a),c_HOL_Oabs(v_c,t_a),t_a) = c_1 ),
inference(instantiation,[status(thm)],[5]) ).
cnf(6,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(l7,plain,
( ~ class_Ring__and__Field_Oordered__field(t_a)
| class_Ring__and__Field_Ofield(t_a) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l12,plain,
class_Ring__and__Field_Oordered__field(t_a),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(X1,X0) != c_0
| X1 = c_0 ),
inference(cnf,[status(esa)],[cls_OrderedGroup_Oabs__eq__0_0]) ).
cnf(l4,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| c_HOL_Oabs(v_c,t_a) != c_0
| v_c = c_0 ),
inference(instantiation,[status(thm)],[3]) ).
cnf(7,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(l8,plain,
( ~ class_Ring__and__Field_Oordered__field(t_a)
| class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l17,plain,
class_Ring__and__Field_Oordered__field(t_a),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
v_c != c_0,
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l189,plain,
v_c != c_0,
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l192,l194,l198,l2,l7,l12,l4,l8,l17,l189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ANA012-2 : TPTP v9.0.0. Released v3.2.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 03:49:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.18/0.33 % launching worker at depth: 7
% 0.18/0.33 % launching worker at depth: 2
% 0.18/0.33 % launching worker at depth: 6
% 0.18/0.33 % launching worker at depth: 4
% 0.18/0.33 % launching worker at depth: 5
% 0.18/0.33 % launching worker at depth: 3
% 0.18/0.33 % launching worker at depth: 1
% 0.18/0.33 % launching worker at depth: 8
% 0.18/0.33 % launching worker at depth: 9
% 0.18/0.33 % launching worker at depth: 10
% 0.18/0.36 % launching worker at depth: 11
% 0.18/0.47 % launching worker at depth: 12
% 7.21/1.24 % SZS status Theorem for theBenchmark
% 7.21/1.24 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------