%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ANA013-1 : 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 : 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 5.47s 1.09s
% Output : CNFRefutation 5.47s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(2783,plain,
~ c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
~ c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(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_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b),
inference(instantiation,[status(thm)],[2783]) ).
cnf(1456,plain,
( ~ c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
| ~ class_Orderings_Olinorder(X2)
| c_lessequals(X1,X0,X2)
| c_lessequals(X3,X0,X2) ),
inference(cnf,[status(esa)],[cls_SetInterval_Oivl__subset_0]) ).
cnf(l1,plain,
( ~ c_lessequals(c_SetInterval_OatLeastLessThan(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(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_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b),c_SetInterval_OatLeastLessThan(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(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_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b),tc_set(t_b))
| ~ class_Orderings_Olinorder(t_b)
| c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(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_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b)
| c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(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_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[1456]) ).
cnf(2443,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Olinorder(X0) ),
inference(cnf,[status(esa)],[clsrel_Ring__and__Field_Oordered__idom_33]) ).
cnf(l2,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_Orderings_Olinorder(t_b) ),
inference(instantiation,[status(thm)],[2443]) ).
cnf(2784,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf,[status(esa)],[tfree_tcs]) ).
cnf(l4,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[2784]) ).
cnf(1729,plain,
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf,[status(esa)],[cls_Set_OsubsetI_0]) ).
cnf(l5,plain,
( c_in(c_Main_OsubsetI__1(c_SetInterval_OatLeastLessThan(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(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_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b),c_SetInterval_OatLeastLessThan(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(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_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b),t_b),c_SetInterval_OatLeastLessThan(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(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_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b),t_b)
| c_lessequals(c_SetInterval_OatLeastLessThan(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(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_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b),c_SetInterval_OatLeastLessThan(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(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_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b),tc_set(t_b)) ),
inference(instantiation,[status(thm)],[1729]) ).
cnf(1730,plain,
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf,[status(esa)],[cls_Set_OsubsetI_1]) ).
cnf(l6,plain,
( ~ c_in(c_Main_OsubsetI__1(c_SetInterval_OatLeastLessThan(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(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_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b),c_SetInterval_OatLeastLessThan(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(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_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b),t_b),c_SetInterval_OatLeastLessThan(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(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_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b),t_b)
| c_lessequals(c_SetInterval_OatLeastLessThan(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(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_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b),c_SetInterval_OatLeastLessThan(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(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_f(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),t_b),tc_set(t_b)) ),
inference(instantiation,[status(thm)],[1730]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l5,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA013-1 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 03:49:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.41 % launching worker at depth: 1
% 0.20/0.41 % launching worker at depth: 2
% 0.20/0.41 % launching worker at depth: 3
% 0.20/0.41 % launching worker at depth: 4
% 0.20/0.41 % launching worker at depth: 5
% 0.20/0.41 % launching worker at depth: 7
% 0.20/0.41 % launching worker at depth: 6
% 0.20/0.41 % launching worker at depth: 8
% 0.20/0.42 % launching worker at depth: 9
% 1.96/0.65 % launching worker at depth: 10
% 5.47/1.09 % SZS status Theorem for theBenchmark
% 5.47/1.09 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------