%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ANA010-2 : 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 : 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 76.02s 9.88s
% Output : CNFRefutation 76.02s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(3,plain,
c_lessequals(c_0,v_f(X0),t_b),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
c_lessequals(c_0,v_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,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(l1,plain,
( ~ c_lessequals(v_f(v_x(c_HOL_Oabs(v_c,t_b))),c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b)
| ~ c_lessequals(c_0,v_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(6,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_Orderings_Oorder(X0) ),
inference(cnf,[status(esa)],[clsrel_OrderedGroup_Olordered__ab__group__abs_17]) ).
cnf(l3,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| class_Orderings_Oorder(t_b) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,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(l5,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(0,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ c_lessequals(c_0,X1,X0)
| c_HOL_Oabs(X1,X0) = X1 ),
inference(cnf,[status(esa)],[cls_OrderedGroup_Oabs__of__nonneg_0]) ).
cnf(l4,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ c_lessequals(c_0,c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b)
| c_HOL_Oabs(c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b) = c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(8,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf,[status(esa)],[tfree_tcs]) ).
cnf(l15,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[8]) ).
cnf(l371,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l440,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[8]) ).
cnf(4,plain,
c_lessequals(v_f(X0),c_times(v_c,v_g(X0),t_b),t_b),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l321,plain,
c_lessequals(v_f(v_x(c_HOL_Oabs(v_c,t_b))),c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),
inference(instantiation,[status(thm)],[4]) ).
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(l58,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| c_HOL_Oabs(c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b) = c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l59,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[8]) ).
cnf(5,plain,
~ c_lessequals(v_f(v_x(X0)),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l1588,plain,
~ c_lessequals(v_f(v_x(c_HOL_Oabs(v_c,t_b))),c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b),
inference(instantiation,[status(thm)],[5]) ).
cnf(l1587,plain,
c_lessequals(v_f(v_x(c_HOL_Oabs(v_c,t_b))),c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l4,l15,l371,l440,l321,l58,l59,l1588,l1587]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA010-2 : TPTP v9.0.0. Released v3.2.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n018.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 03:48:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.37 % launching worker at depth: 11
% 1.79/0.60 % launching worker at depth: 12
% 25.69/3.56 % launching worker at depth: 13
% 76.02/9.88 % SZS status Theorem for theBenchmark
% 76.02/9.88 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------