%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ANA034-2 : 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 : n019.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 09:50:33 AM UTC 2025
% Result : Unsatisfiable 129.11s 16.49s
% Output : CNFRefutation 129.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_2)
% Comments :
%------------------------------------------------------------------------------
cnf(6,plain,
c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l0,plain,
c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),
inference(instantiation,[status(thm)],[6]) ).
cnf(1,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(X3,X4,X2)
| ~ c_lessequals(c_0,X0,X2)
| ~ c_lessequals(c_0,X4,X2)
| ~ class_Ring__and__Field_Opordered__semiring(X2)
| c_lessequals(c_times(X3,X0,X2),c_times(X4,X1,X2),X2) ),
inference(cnf,[status(esa)],[cls_Ring__and__Field_Omult__mono_0]) ).
cnf(l1,plain,
( ~ c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b)
| ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b)
| c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( ~ c_lessequals(c_0,X0,X1)
| ~ c_lessequals(c_0,X2,X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| c_lessequals(c_0,c_times(X2,X0,X1),X1) ),
inference(cnf,[status(esa)],[cls_Ring__and__Field_Omult__nonneg__nonneg_0]) ).
cnf(l787,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_b),t_b)
| ~ c_lessequals(c_0,v_c,t_b)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_b)
| c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(4,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(l4,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l804,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_b),t_b) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(12,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
inference(cnf,[status(esa)],[clsrel_Ring__and__Field_Oordered__idom_40]) ).
cnf(l1085,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_Ring__and__Field_Opordered__cancel__semiring(t_b) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(14,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(l819,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(3,plain,
( ~ class_Orderings_Oorder(X0)
| ~ c_less(X1,X2,X0)
| c_lessequals(X1,X2,X0) ),
inference(cnf,[status(esa)],[cls_Orderings_Oorder__less__imp__le_0]) ).
cnf(l793,plain,
( ~ class_Orderings_Oorder(t_b)
| ~ c_less(c_0,v_c,t_b)
| c_lessequals(c_0,v_c,t_b) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(9,plain,
~ c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(cnf,[status(esa)],[cls_conjecture_5]) ).
cnf(l1809,plain,
~ c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(instantiation,[status(thm)],[9]) ).
cnf(11,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_Orderings_Oorder(X0) ),
inference(cnf,[status(esa)],[clsrel_OrderedGroup_Olordered__ab__group__abs_17]) ).
cnf(l985,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| class_Orderings_Oorder(t_b) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(0,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(l840,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b) = c_times(c_HOL_Oabs(v_a(v_x),t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(13,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(l3,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(5,plain,
c_less(c_0,v_c,t_b),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l981,plain,
c_less(c_0,v_c,t_b),
inference(instantiation,[status(thm)],[5]) ).
cnf(l1024,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l6,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(10,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf,[status(esa)],[tfree_tcs]) ).
cnf(l7,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[10]) ).
cnf(l833,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[10]) ).
cnf(l11,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[10]) ).
cnf(l1178,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[10]) ).
cnf(l1067,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[10]) ).
cnf(l880,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[10]) ).
cnf(8,plain,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
inference(cnf,[status(esa)],[cls_conjecture_4]) ).
cnf(l832,plain,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
inference(instantiation,[status(thm)],[8]) ).
cnf(7,plain,
c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
inference(cnf,[status(esa)],[cls_conjecture_3]) ).
cnf(l2,plain,
c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
inference(instantiation,[status(thm)],[7]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l787,l4,l804,l1085,l819,l793,l1809,l985,l840,l3,l981,l1024,l6,l7,l833,l11,l1178,l1067,l880,l832,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : ANA034-2 : TPTP v9.0.0. Released v3.2.0.
% 0.04/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.29 % Computer : n019.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Sun Jul 20 03:57:19 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % launching worker at depth: 2
% 0.08/0.29 % launching worker at depth: 1
% 0.08/0.29 % launching worker at depth: 3
% 0.08/0.29 % launching worker at depth: 4
% 0.08/0.29 % launching worker at depth: 5
% 0.08/0.29 % launching worker at depth: 6
% 0.08/0.29 % launching worker at depth: 7
% 0.08/0.29 % launching worker at depth: 8
% 0.08/0.29 % launching worker at depth: 9
% 0.14/0.31 % launching worker at depth: 10
% 0.14/0.37 % launching worker at depth: 11
% 8.67/1.39 % launching worker at depth: 12
% 129.11/16.49 % SZS status Theorem for theBenchmark
% 129.11/16.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------