%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ANA018-2 : 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 09:50:30 AM UTC 2025
% Result : Unsatisfiable 21.05s 2.93s
% Output : CNFRefutation 21.05s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_1)
% Comments :
%------------------------------------------------------------------------------
cnf(0,plain,
c_lessequals(c_HOL_Oabs(v_f(X0),t_b),c_times(v_c,c_HOL_Oabs(v_g(X0),t_b),t_b),t_b),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l0,plain,
c_lessequals(c_HOL_Oabs(v_f(v_xa),t_b),c_times(v_c,c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),
inference(instantiation,[status(thm)],[0]) ).
cnf(8,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_xa),t_b),c_times(v_c,c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b)
| ~ c_lessequals(c_0,v_ca,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b)
| c_lessequals(c_times(v_ca,c_HOL_Oabs(v_f(v_xa),t_b),t_b),c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(7,plain,
( ~ c_less(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_lessequals(X0,X1,X2) ),
inference(cnf,[status(esa)],[cls_Orderings_Oorder__less__imp__le_0]) ).
cnf(l2,plain,
( ~ c_less(c_0,v_ca,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,v_ca,t_b) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(12,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)],[12]) ).
cnf(9,plain,
( ~ class_LOrder_Ojoin__semilorder(X0)
| class_Orderings_Oorder(X0) ),
inference(cnf,[status(esa)],[clsrel_LOrder_Ojoin__semilorder_1]) ).
cnf(l32,plain,
( ~ class_LOrder_Ojoin__semilorder(t_b)
| class_Orderings_Oorder(t_b) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(11,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_LOrder_Ojoin__semilorder(X0) ),
inference(cnf,[status(esa)],[clsrel_Ring__and__Field_Oordered__idom_35]) ).
cnf(l48,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_LOrder_Ojoin__semilorder(t_b) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(4,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf,[status(esa)],[tfree_tcs]) ).
cnf(l5,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[4]) ).
cnf(l80,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[4]) ).
cnf(1,plain,
c_less(c_0,v_ca,t_b),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l7,plain,
c_less(c_0,v_ca,t_b),
inference(instantiation,[status(thm)],[1]) ).
cnf(6,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(X3,X0,X2)
| ~ class_Orderings_Oorder(X2)
| c_lessequals(X3,X1,X2) ),
inference(cnf,[status(esa)],[cls_Orderings_Oorder__class_Oorder__trans_0]) ).
cnf(l170,plain,
( ~ c_lessequals(c_times(v_ca,c_HOL_Oabs(v_f(v_xa),t_b),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(v_ca,c_HOL_Oabs(v_f(v_xa),t_b),t_b),t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l187,plain,
( ~ class_LOrder_Ojoin__semilorder(t_b)
| class_Orderings_Oorder(t_b) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l353,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_LOrder_Ojoin__semilorder(t_b) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l379,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
~ c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),
inference(cnf,[status(esa)],[cls_conjecture_4]) ).
cnf(l206,plain,
~ c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
c_lessequals(c_HOL_Oabs(v_x(X0),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X0),t_b),t_b),t_b),
inference(cnf,[status(esa)],[cls_conjecture_3]) ).
cnf(l199,plain,
c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(v_ca,c_HOL_Oabs(v_f(v_xa),t_b),t_b),t_b),
inference(instantiation,[status(thm)],[2]) ).
cnf(5,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_Omult__ac__1_0]) ).
cnf(l159,plain,
( ~ class_OrderedGroup_Osemigroup__mult(t_b)
| c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b) = c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(10,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Osemigroup__mult(X0) ),
inference(cnf,[status(esa)],[clsrel_Ring__and__Field_Oordered__idom_21]) ).
cnf(l189,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Osemigroup__mult(t_b) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l201,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l32,l48,l5,l80,l7,l170,l187,l353,l379,l206,l199,l159,l189,l201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : ANA018-2 : TPTP v9.0.0. Released v3.2.0.
% 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.25 % Computer : n029.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Sun Jul 20 03:51:03 EDT 2025
% 0.07/0.25 % CPUTime :
% 0.07/0.26 % launching worker at depth: 5
% 0.07/0.26 % launching worker at depth: 8
% 0.07/0.26 % launching worker at depth: 2
% 0.07/0.26 % launching worker at depth: 4
% 0.07/0.26 % launching worker at depth: 6
% 0.07/0.26 % launching worker at depth: 1
% 0.07/0.26 % launching worker at depth: 7
% 0.07/0.26 % launching worker at depth: 3
% 0.07/0.26 % launching worker at depth: 9
% 0.07/0.26 % launching worker at depth: 10
% 0.07/0.27 % launching worker at depth: 11
% 0.10/0.36 % launching worker at depth: 12
% 6.56/1.15 % launching worker at depth: 13
% 21.05/2.93 % SZS status Theorem for theBenchmark
% 21.05/2.93 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------