%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ANA027-2 : 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 : n017.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 09:50:32 AM UTC 2025
% Result : Unsatisfiable 54.47s 7.20s
% Output : CNFRefutation 54.47s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_2)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
c_lessequals(v_g(v_x),v_k(v_x),t_b),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l0,plain,
c_lessequals(v_g(v_x),v_k(v_x),t_b),
inference(instantiation,[status(thm)],[1]) ).
cnf(7,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(l326,plain,
( ~ c_lessequals(c_plus(c_0,v_k(v_x),t_b),v_f(v_x),t_b)
| ~ c_lessequals(c_plus(c_0,v_g(v_x),t_b),c_plus(c_0,v_k(v_x),t_b),t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_f(v_x),t_b) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(8,plain,
( ~ class_LOrder_Ojoin__semilorder(X0)
| class_Orderings_Oorder(X0) ),
inference(cnf,[status(esa)],[clsrel_LOrder_Ojoin__semilorder_1]) ).
cnf(l327,plain,
( ~ class_LOrder_Ojoin__semilorder(t_b)
| class_Orderings_Oorder(t_b) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(4,plain,
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_plus(c_0,X1,X0) = X1 ),
inference(cnf,[status(esa)],[cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0]) ).
cnf(l48,plain,
( ~ class_OrderedGroup_Ocomm__monoid__add(t_b)
| c_plus(c_0,v_k(v_x),t_b) = v_k(v_x) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(5,plain,
( ~ c_lessequals(X0,c_minus(X1,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(c_plus(X0,X2,X3),X1,X3) ),
inference(cnf,[status(esa)],[cls_OrderedGroup_Ocompare__rls__9_0]) ).
cnf(l1261,plain,
( ~ c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_plus(c_0,v_k(v_x),t_b),v_f(v_x),t_b) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(9,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_OrderedGroup_Opordered__ab__group__add(X0) ),
inference(cnf,[status(esa)],[clsrel_OrderedGroup_Olordered__ab__group__abs_1]) ).
cnf(l1267,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(6,plain,
( ~ c_lessequals(c_plus(X0,X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| c_lessequals(X0,c_minus(X3,X1,X2),X2) ),
inference(cnf,[status(esa)],[cls_OrderedGroup_Ocompare__rls__9_1]) ).
cnf(l465,plain,
( ~ c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_f(v_x),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(11,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Ocomm__monoid__add(X0) ),
inference(cnf,[status(esa)],[clsrel_Ring__and__Field_Oordered__idom_23]) ).
cnf(l50,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Ocomm__monoid__add(t_b) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l468,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(12,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(l474,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(3,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf,[status(esa)],[tfree_tcs]) ).
cnf(l57,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[3]) ).
cnf(l1271,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(10,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(l337,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| class_LOrder_Ojoin__semilorder(t_b) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(2,plain,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(cnf,[status(esa)],[cls_conjecture_3]) ).
cnf(l467,plain,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(instantiation,[status(thm)],[2]) ).
cnf(l1277,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[3]) ).
cnf(l342,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l348,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[3]) ).
cnf(l331,plain,
( ~ class_OrderedGroup_Ocomm__monoid__add(t_b)
| c_plus(c_0,v_g(v_x),t_b) = v_g(v_x) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l332,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Ocomm__monoid__add(t_b) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l339,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l1262,plain,
c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
inference(instantiation,[status(thm)],[0]) ).
cnf(l478,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l326,l327,l48,l1261,l1267,l465,l50,l468,l474,l57,l1271,l337,l467,l1277,l342,l348,l331,l332,l339,l1262,l478]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : ANA027-2 : TPTP v9.0.0. Released v3.2.0.
% 0.02/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 03:54:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.36 % launching worker at depth: 11
% 0.20/0.46 % launching worker at depth: 12
% 7.53/1.29 % launching worker at depth: 13
% 54.47/7.20 % SZS status Theorem for theBenchmark
% 54.47/7.20 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------