%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ANA025-2 : 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 : n020.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 09:50:31 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_2)
% Comments :
%------------------------------------------------------------------------------
cnf(5,plain,
~ c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l0,plain,
~ c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(instantiation,[status(thm)],[5]) ).
cnf(1,plain,
( ~ class_Orderings_Olinorder(X0)
| c_lessequals(X1,X2,X0)
| c_less(X2,X1,X0) ),
inference(cnf,[status(esa)],[cls_Orderings_Olinorder__not__le_0]) ).
cnf(l1,plain,
( ~ class_Orderings_Olinorder(t_b)
| c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b)
| c_less(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(9,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)],[9]) ).
cnf(11,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf,[status(esa)],[tfree_tcs]) ).
cnf(l3,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[11]) ).
cnf(4,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(l4,plain,
( ~ c_less(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(7,plain,
( ~ class_LOrder_Ojoin__semilorder(X0)
| class_Orderings_Oorder(X0) ),
inference(cnf,[status(esa)],[clsrel_LOrder_Ojoin__semilorder_1]) ).
cnf(l5,plain,
( ~ class_LOrder_Ojoin__semilorder(t_b)
| class_Orderings_Oorder(t_b) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(3,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(l6,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l36,plain,
( ~ class_LOrder_Ojoin__semilorder(t_b)
| class_Orderings_Oorder(t_b) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(2,plain,
( ~ class_Orderings_Olinorder(X0)
| ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(X3,X2,X0)
| c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0) ),
inference(cnf,[status(esa)],[cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2]) ).
cnf(l8,plain,
( ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l29,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_Orderings_Olinorder(t_b) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l30,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[11]) ).
cnf(8,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_LOrder_Ojoin__semilorder(X0) ),
inference(cnf,[status(esa)],[clsrel_OrderedGroup_Olordered__ab__group__abs_15]) ).
cnf(l7,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| class_LOrder_Ojoin__semilorder(t_b) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(10,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(l11,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(6,plain,
~ c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference(cnf,[status(esa)],[cls_conjecture_3]) ).
cnf(l12,plain,
~ c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference(instantiation,[status(thm)],[6]) ).
cnf(l16,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[11]) ).
cnf(0,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(l9,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l14,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l41,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| class_LOrder_Ojoin__semilorder(t_b) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l23,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[11]) ).
cnf(l18,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l43,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l44,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[11]) ).
cnf(l22,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l38,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[11]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l36,l8,l29,l30,l7,l11,l12,l16,l9,l14,l41,l23,l18,l43,l44,l22,l38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA025-2 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 03:53:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 0.12/0.35 % launching worker at depth: 12
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------