%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ANA022-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:03:05 PM UTC 2026
% Result : Unsatisfiable 24.08s 3.61s
% Output : CNFRefutation 24.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 26
% Syntax : Number of clauses : 225 ( 22 unt; 13 nHn; 140 RR)
% Number of literals : 577 ( 77 equ; 349 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 403 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OrderedGroup_Odiff__self_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_minus(X2,X2,X1) = c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__self_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
cnf(cls_OrderedGroup_Ominus__diff__eq_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_minus(X2,X3,X1),X1) = c_minus(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__diff__eq_0) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_OrderedGroup_Odiff__minus__eq__add_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_minus(X2,c_uminus(X3,X1),X1) = c_plus(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__minus__eq__add_0) ).
cnf(cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| c_plus(c_0,X2,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_23,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
cnf(cls_Orderings_Olinorder__not__le_0,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X3,X2,X1)
| c_less(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
cnf(cls_OrderedGroup_Oadd__le__cancel__right_0,axiom,
( ~ c_lessequals(c_plus(X2,X3,X1),c_plus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__right_0) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_6,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).
cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
( ~ c_less(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom,
( ~ class_LOrder_Ojoin__semilorder(X1)
| class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_35,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
cnf(cls_OrderedGroup_Oabs__of__nonpos_0,axiom,
( ~ c_lessequals(X2,c_0,X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(X2,X1) = c_uminus(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonpos_0) ).
cnf(cls_OrderedGroup_Oabs__minus__cancel_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(c_uminus(X2,X1),X1) = c_HOL_Oabs(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__minus__cancel_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__3_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_plus(c_minus(X2,X3,X1),X4,X1) = c_minus(c_plus(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__3_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(cls_OrderedGroup_Ocompare__rls__2_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_plus(X2,c_minus(X3,X4,X1),X1) = c_minus(c_plus(X2,X3,X1),X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__2_0) ).
cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
( ~ c_lessequals(X4,X2,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ 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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,axiom,
( ~ c_lessequals(X4,X3,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| c_lessequals(c_Orderings_Omax(X4,X2,X1),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
cnf(cls_OrderedGroup_Ocompare__rls__8_1,axiom,
( ~ c_lessequals(X2,c_plus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_lessequals(c_minus(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_1) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_k(X1),v_f(X1),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
cnf(c_0_26,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_minus(X2,X2,X1) = c_0 ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Odiff__self_0]) ).
cnf(c_0_27,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_4]) ).
cnf(c_0_28,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_minus(X2,X2,X1) = c_0 ),
c_0_26 ).
cnf(c_0_29,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
c_0_27 ).
cnf(c_0_30,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_minus(X2,X3,X1),X1) = c_minus(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Ominus__diff__eq_0]) ).
cnf(c_0_31,plain,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_minus(X1,X1,X2) = c_0 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs ).
cnf(c_0_33,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_minus(X2,c_uminus(X3,X1),X1) = c_plus(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Odiff__minus__eq__add_0]) ).
cnf(c_0_34,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_minus(X2,X3,X1),X1) = c_minus(X3,X2,X1) ),
c_0_30 ).
cnf(c_0_35,negated_conjecture,
c_minus(X1,X1,t_b) = c_0,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| c_plus(c_0,X2,X1) = X2 ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0]) ).
cnf(c_0_37,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_23]) ).
cnf(c_0_38,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_minus(X2,c_uminus(X3,X1),X1) = c_plus(X2,X3,X1) ),
c_0_33 ).
cnf(c_0_39,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_uminus(c_0,t_b) = c_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_35]) ).
cnf(c_0_40,plain,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| c_plus(c_0,X2,X1) = X2 ),
c_0_36 ).
cnf(c_0_41,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Ocomm__monoid__add(X1) ),
c_0_37 ).
cnf(c_0_42,plain,
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X3,X2,X1)
| c_less(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_Orderings_Olinorder__not__le_0]) ).
cnf(c_0_43,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Olinorder(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_33]) ).
cnf(c_0_44,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_plus(X1,c_0,t_b) = c_minus(X1,c_0,t_b) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
( ~ c_lessequals(c_plus(X2,X3,X1),c_plus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| c_lessequals(X2,X4,X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oadd__le__cancel__right_0]) ).
cnf(c_0_46,plain,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_plus(c_0,X1,X2) = X1 ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,plain,
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X3,X2,X1)
| c_less(X2,X3,X1) ),
c_0_42 ).
cnf(c_0_48,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Olinorder(X1) ),
c_0_43 ).
cnf(c_0_49,negated_conjecture,
c_plus(X1,c_0,t_b) = c_minus(X1,c_0,t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_29]),c_0_32])]) ).
cnf(c_0_50,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_plus(c_uminus(X1,t_b),X1,t_b) = c_0 ),
inference(spm,[status(thm)],[c_0_35,c_0_38]) ).
cnf(c_0_51,plain,
( ~ c_lessequals(c_plus(X2,X3,X1),c_plus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| c_lessequals(X2,X4,X1) ),
c_0_45 ).
cnf(c_0_52,negated_conjecture,
c_plus(c_0,X1,t_b) = X1,
inference(spm,[status(thm)],[c_0_46,c_0_32]) ).
cnf(c_0_53,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_OrderedGroup_Olordered__ab__group__abs_6]) ).
cnf(c_0_54,plain,
( ~ c_less(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_Orderings_Oorder__less__imp__le_0]) ).
cnf(c_0_55,plain,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| c_lessequals(X2,X1,X3)
| c_less(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_56,plain,
( ~ class_LOrder_Ojoin__semilorder(X1)
| class_Orderings_Oorder(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_LOrder_Ojoin__semilorder_1]) ).
cnf(c_0_57,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_35]) ).
cnf(c_0_58,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_uminus(c_0,t_b),c_0,t_b) = c_0 ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_59,plain,
( ~ c_lessequals(X2,c_0,X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(X2,X1) = c_uminus(X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oabs__of__nonpos_0]) ).
cnf(c_0_60,negated_conjecture,
( ~ c_lessequals(c_plus(X1,X2,t_b),X2,t_b)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
| c_lessequals(X1,c_0,t_b) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_61,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_53 ).
cnf(c_0_62,plain,
( ~ c_less(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X3,X1) ),
c_0_54 ).
cnf(c_0_63,negated_conjecture,
( c_lessequals(X2,X1,t_b)
| c_less(X1,X2,t_b) ),
inference(spm,[status(thm)],[c_0_55,c_0_32]) ).
cnf(c_0_64,plain,
( ~ class_LOrder_Ojoin__semilorder(X1)
| class_Orderings_Oorder(X1) ),
c_0_56 ).
cnf(c_0_65,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_LOrder_Ojoin__semilorder(X1) ),
c_0_57 ).
cnf(c_0_66,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_0,c_uminus(c_0,t_b),t_b) = c_uminus(c_0,t_b) ),
inference(spm,[status(thm)],[c_0_34,c_0_58]) ).
cnf(c_0_67,plain,
( ~ c_lessequals(X2,c_0,X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(X2,X1) = c_uminus(X2,X1) ),
c_0_59 ).
cnf(c_0_68,negated_conjecture,
( ~ c_lessequals(c_plus(X1,X2,t_b),X2,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(X1,c_0,t_b) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,negated_conjecture,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(X2,X1,t_b)
| c_lessequals(X1,X2,t_b) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Oorder(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,negated_conjecture,
( ~ c_lessequals(c_0,c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_0,c_HOL_Oabs(c_0,t_b),t_b) = c_HOL_Oabs(c_0,t_b) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,negated_conjecture,
( ~ c_lessequals(c_minus(X1,c_0,t_b),c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(X1,c_0,t_b) ),
inference(spm,[status(thm)],[c_0_68,c_0_49]) ).
cnf(c_0_73,negated_conjecture,
( ~ c_lessequals(c_0,c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_HOL_Oabs(c_0,t_b),c_0,t_b) = c_0 ),
inference(spm,[status(thm)],[c_0_58,c_0_67]) ).
cnf(c_0_74,negated_conjecture,
( c_lessequals(X2,X1,t_b)
| c_lessequals(X1,X2,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_32])]) ).
cnf(c_0_75,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(c_uminus(X2,X1),X1) = c_HOL_Oabs(X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oabs__minus__cancel_0]) ).
cnf(c_0_76,negated_conjecture,
( ~ c_lessequals(c_0,c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_uminus(c_HOL_Oabs(c_0,t_b),t_b) = c_minus(c_HOL_Oabs(c_0,t_b),c_0,t_b) ),
inference(spm,[status(thm)],[c_0_34,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( ~ c_lessequals(c_0,c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(c_HOL_Oabs(c_0,t_b),c_0,t_b) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_78,negated_conjecture,
c_lessequals(X1,X1,t_b),
inference(ef,[status(thm)],[c_0_74]) ).
cnf(c_0_79,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(c_uminus(X2,X1),X1) = c_HOL_Oabs(X2,X1) ),
c_0_75 ).
cnf(c_0_80,negated_conjecture,
( ~ c_lessequals(c_0,c_0,t_b)
| ~ c_lessequals(c_HOL_Oabs(c_0,t_b),c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_HOL_Oabs(c_HOL_Oabs(c_0,t_b),t_b) = c_minus(c_HOL_Oabs(c_0,t_b),c_0,t_b) ),
inference(spm,[status(thm)],[c_0_67,c_0_76]) ).
cnf(c_0_81,negated_conjecture,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(c_HOL_Oabs(c_0,t_b),c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]) ).
cnf(c_0_82,plain,
( ~ c_lessequals(X1,c_0,X2)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
| c_HOL_Oabs(c_HOL_Oabs(X1,X2),X2) = c_HOL_Oabs(X1,X2) ),
inference(spm,[status(thm)],[c_0_79,c_0_67]) ).
cnf(c_0_83,negated_conjecture,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_HOL_Oabs(c_HOL_Oabs(c_0,t_b),t_b) = c_minus(c_HOL_Oabs(c_0,t_b),c_0,t_b) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_78])]),c_0_81]) ).
cnf(c_0_84,plain,
( ~ c_lessequals(c_minus(X1,X2,X3),c_0,X3)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X3)
| ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Oabs(c_minus(X1,X2,X3),X3) = c_minus(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_67,c_0_34]) ).
cnf(c_0_85,negated_conjecture,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_HOL_Oabs(c_0,t_b),c_0,t_b) = c_HOL_Oabs(c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_78])]) ).
cnf(c_0_86,negated_conjecture,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_HOL_Oabs(c_HOL_Oabs(c_0,t_b),t_b) = c_minus(c_0,c_HOL_Oabs(c_0,t_b),t_b) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_81]) ).
cnf(c_0_87,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_plus(c_minus(X2,X3,X1),X4,X1) = c_minus(c_plus(X2,X4,X1),X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Ocompare__rls__3_0]) ).
cnf(c_0_88,negated_conjecture,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_HOL_Oabs(c_0,t_b),c_0,t_b) = c_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_78])]) ).
cnf(c_0_89,negated_conjecture,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_HOL_Oabs(c_0,t_b),c_0,t_b) = c_minus(c_0,c_HOL_Oabs(c_0,t_b),t_b) ),
inference(spm,[status(thm)],[c_0_83,c_0_86]) ).
cnf(c_0_90,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_plus(c_minus(X2,X3,X1),X4,X1) = c_minus(c_plus(X2,X4,X1),X3,X1) ),
c_0_87 ).
cnf(c_0_91,negated_conjecture,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_0,c_HOL_Oabs(c_0,t_b),t_b) = c_0 ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_92,plain,
( ~ c_lessequals(X2,c_0,X3)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X3)
| ~ class_OrderedGroup_Oab__group__add(X3)
| c_minus(X1,c_HOL_Oabs(X2,X3),X3) = c_plus(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_38,c_0_67]) ).
cnf(c_0_93,negated_conjecture,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(X1,c_HOL_Oabs(c_0,t_b),t_b) = X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_52]),c_0_52]) ).
cnf(c_0_94,negated_conjecture,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(X1,c_0,t_b) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_49]),c_0_78])]) ).
cnf(c_0_95,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50]) ).
cnf(c_0_96,negated_conjecture,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_minus(X1,c_0,t_b) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_29]),c_0_32])]) ).
cnf(c_0_97,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_95 ).
cnf(c_0_98,negated_conjecture,
c_minus(X1,c_0,t_b) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_32])]) ).
cnf(c_0_99,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_plus(X1,X2,t_b),X1,t_b) = X2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_35]),c_0_52]) ).
cnf(c_0_100,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_plus(X2,c_minus(X3,X4,X1),X1) = c_minus(c_plus(X2,X3,X1),X4,X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Ocompare__rls__2_0]) ).
cnf(c_0_101,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_uminus(X1,t_b) = c_minus(c_0,X1,t_b) ),
inference(spm,[status(thm)],[c_0_34,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_0,c_uminus(X1,t_b),t_b) = X1 ),
inference(spm,[status(thm)],[c_0_99,c_0_50]) ).
cnf(c_0_103,plain,
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_uminus(c_plus(X1,X2,X3),X3) = c_minus(c_uminus(X2,X3),X1,X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_38]) ).
cnf(c_0_104,negated_conjecture,
c_plus(X1,c_0,t_b) = X1,
inference(rw,[status(thm)],[c_0_49,c_0_98]) ).
cnf(c_0_105,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_plus(X2,c_minus(X3,X4,X1),X1) = c_minus(c_plus(X2,X3,X1),X4,X1) ),
c_0_100 ).
cnf(c_0_106,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_plus(c_minus(c_0,X1,t_b),X1,t_b) = c_0 ),
inference(spm,[status(thm)],[c_0_50,c_0_101]) ).
cnf(c_0_107,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_0,c_minus(c_0,X1,t_b),t_b) = X1 ),
inference(spm,[status(thm)],[c_0_102,c_0_101]) ).
cnf(c_0_108,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_uminus(c_0,t_b),X1,t_b) = c_uminus(X1,t_b) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_109,plain,
( ~ c_lessequals(c_minus(c_plus(X1,X4,X3),X5,X3),c_plus(X2,c_minus(X4,X5,X3),X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| ~ class_OrderedGroup_Oab__group__add(X3)
| c_lessequals(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_105]) ).
cnf(c_0_110,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_plus(X1,c_minus(c_0,X1,t_b),t_b) = c_0 ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_uminus(c_uminus(c_0,t_b),t_b) = c_0 ),
inference(spm,[status(thm)],[c_0_35,c_0_108]) ).
cnf(c_0_112,negated_conjecture,
( ~ c_lessequals(c_minus(X1,X2,t_b),c_0,t_b)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(X1,X2,t_b) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_49]),c_0_98]) ).
cnf(c_0_113,negated_conjecture,
( ~ c_lessequals(c_minus(c_plus(X1,X2,t_b),X3,t_b),c_minus(X2,X3,t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(X1,c_0,t_b) ),
inference(spm,[status(thm)],[c_0_68,c_0_105]) ).
cnf(c_0_114,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_plus(X1,X2,t_b),X2,t_b) = X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_35]),c_0_49]),c_0_98]) ).
cnf(c_0_115,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_plus(X1,c_uminus(c_0,t_b),t_b) = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_111]),c_0_98]) ).
cnf(c_0_116,negated_conjecture,
( ~ c_lessequals(c_minus(X1,X2,t_b),c_0,t_b)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
| c_lessequals(X1,X2,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_29]),c_0_32])]) ).
cnf(c_0_117,negated_conjecture,
( ~ c_lessequals(X2,c_minus(X2,X1,t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(X1,c_0,t_b) ),
inference(spm,[status(thm)],[c_0_113,c_0_99]) ).
cnf(c_0_118,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(X1,c_uminus(c_0,t_b),t_b) = X1 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_119,negated_conjecture,
( ~ c_lessequals(c_minus(X1,X2,t_b),c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(X1,X2,t_b) ),
inference(spm,[status(thm)],[c_0_116,c_0_61]) ).
cnf(c_0_120,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(X1,c_plus(X1,X2,t_b),t_b) = c_uminus(X2,t_b) ),
inference(spm,[status(thm)],[c_0_34,c_0_99]) ).
cnf(c_0_121,negated_conjecture,
( ~ c_lessequals(X2,c_plus(X2,X1,t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(c_uminus(X1,t_b),c_0,t_b) ),
inference(spm,[status(thm)],[c_0_117,c_0_38]) ).
cnf(c_0_122,negated_conjecture,
( ~ c_lessequals(X2,c_plus(X1,X2,t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_123,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_plus(c_uminus(c_0,t_b),X1,t_b) = X1 ),
inference(spm,[status(thm)],[c_0_99,c_0_118]) ).
cnf(c_0_124,negated_conjecture,
( ~ c_lessequals(c_uminus(X2,t_b),c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(X1,c_plus(X1,X2,t_b),t_b) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_125,negated_conjecture,
( ~ c_lessequals(X2,c_plus(X2,X1,t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(c_uminus(X1,t_b),c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_29]),c_0_32])]) ).
cnf(c_0_126,negated_conjecture,
( ~ c_lessequals(X2,c_plus(X1,X2,t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(spm,[status(thm)],[c_0_122,c_0_61]) ).
cnf(c_0_127,negated_conjecture,
( ~ c_lessequals(X2,c_plus(X1,X2,t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(c_uminus(c_0,t_b),X1,t_b) ),
inference(spm,[status(thm)],[c_0_51,c_0_123]) ).
cnf(c_0_128,negated_conjecture,
( ~ c_lessequals(c_uminus(X2,t_b),c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(X1,c_plus(X1,X2,t_b),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_29]),c_0_32])]) ).
cnf(c_0_129,negated_conjecture,
( ~ c_lessequals(X2,c_plus(X2,X1,t_b),t_b)
| c_lessequals(c_uminus(X1,t_b),c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_97]),c_0_32])]) ).
cnf(c_0_130,negated_conjecture,
( ~ c_lessequals(c_minus(X2,X3,t_b),c_minus(c_plus(X1,X2,t_b),X3,t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(spm,[status(thm)],[c_0_126,c_0_105]) ).
cnf(c_0_131,negated_conjecture,
( ~ c_lessequals(X2,c_plus(X1,X2,t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
| c_lessequals(c_uminus(c_0,t_b),X1,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_29]),c_0_32])]) ).
cnf(c_0_132,plain,
( ~ c_lessequals(X4,X2,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X4,X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0]) ).
cnf(c_0_133,negated_conjecture,
( ~ c_lessequals(c_uminus(X2,t_b),c_0,t_b)
| c_lessequals(X1,c_plus(X1,X2,t_b),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_97]),c_0_32])]) ).
cnf(c_0_134,negated_conjecture,
( ~ c_lessequals(c_0,X1,t_b)
| c_lessequals(c_uminus(X1,t_b),c_0,t_b) ),
inference(spm,[status(thm)],[c_0_129,c_0_52]) ).
cnf(c_0_135,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_plus(c_plus(X1,X2,t_b),X3,t_b),X1,t_b) = c_plus(X2,X3,t_b) ),
inference(spm,[status(thm)],[c_0_90,c_0_99]) ).
cnf(c_0_136,negated_conjecture,
( ~ c_lessequals(c_minus(X2,X1,t_b),X2,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(spm,[status(thm)],[c_0_130,c_0_99]) ).
cnf(c_0_137,negated_conjecture,
( ~ c_lessequals(X2,c_plus(X1,X2,t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(c_uminus(c_0,t_b),X1,t_b) ),
inference(spm,[status(thm)],[c_0_131,c_0_61]) ).
cnf(c_0_138,plain,
( ~ c_lessequals(X4,X2,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X4,X3,X1) ),
c_0_132 ).
cnf(c_0_139,negated_conjecture,
( ~ c_lessequals(c_0,X2,t_b)
| c_lessequals(X1,c_plus(X1,X2,t_b),t_b) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_140,plain,
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_plus(X1,c_minus(X2,X3,X4),X4) = c_minus(X1,c_minus(X3,X2,X4),X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_34]) ).
cnf(c_0_141,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_plus(X1,X2,t_b) = c_plus(X2,X1,t_b) ),
inference(spm,[status(thm)],[c_0_114,c_0_135]) ).
cnf(c_0_142,negated_conjecture,
( ~ c_lessequals(c_plus(X1,X2,t_b),X2,t_b)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(X1,c_uminus(c_0,t_b),t_b) ),
inference(spm,[status(thm)],[c_0_51,c_0_123]) ).
cnf(c_0_143,negated_conjecture,
( ~ c_lessequals(c_plus(X2,X1,t_b),X2,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(c_0,c_uminus(X1,t_b),t_b) ),
inference(spm,[status(thm)],[c_0_136,c_0_38]) ).
cnf(c_0_144,negated_conjecture,
( ~ c_lessequals(X2,c_plus(X1,X2,t_b),t_b)
| c_lessequals(c_uminus(c_0,t_b),X1,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_97]),c_0_32])]) ).
cnf(c_0_145,negated_conjecture,
( ~ c_lessequals(c_0,X3,t_b)
| ~ c_lessequals(c_plus(X1,X3,t_b),X2,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(X1,X2,t_b) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_146,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(X1,c_minus(c_0,X2,t_b),t_b) = c_plus(X1,X2,t_b) ),
inference(spm,[status(thm)],[c_0_140,c_0_98]) ).
cnf(c_0_147,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_minus(c_plus(X1,X2,t_b),X3,t_b),c_minus(X1,X3,t_b),t_b) = X2 ),
inference(spm,[status(thm)],[c_0_99,c_0_90]) ).
cnf(c_0_148,negated_conjecture,
c_plus(X1,X2,t_b) = c_plus(X2,X1,t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_29]),c_0_32])]) ).
cnf(c_0_149,negated_conjecture,
( ~ c_lessequals(c_plus(X1,X2,t_b),X2,t_b)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
| c_lessequals(X1,c_uminus(c_0,t_b),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_29]),c_0_32])]) ).
cnf(c_0_150,negated_conjecture,
( ~ c_lessequals(c_plus(X2,X1,t_b),X2,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(c_0,c_uminus(X1,t_b),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_29]),c_0_32])]) ).
cnf(c_0_151,negated_conjecture,
( ~ c_lessequals(c_0,X1,t_b)
| c_lessequals(c_uminus(c_0,t_b),X1,t_b) ),
inference(spm,[status(thm)],[c_0_144,c_0_104]) ).
cnf(c_0_152,negated_conjecture,
( ~ c_lessequals(c_0,X3,t_b)
| ~ c_lessequals(c_plus(X1,X3,t_b),X2,t_b)
| c_lessequals(X1,X2,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_70]),c_0_32])]) ).
cnf(c_0_153,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_plus(X1,c_minus(X2,X1,t_b),t_b) = X2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_52]),c_0_148]) ).
cnf(c_0_154,negated_conjecture,
( ~ c_lessequals(c_plus(X1,X2,t_b),X2,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(X1,c_uminus(c_0,t_b),t_b) ),
inference(spm,[status(thm)],[c_0_149,c_0_61]) ).
cnf(c_0_155,negated_conjecture,
( ~ c_lessequals(c_plus(X2,X1,t_b),X2,t_b)
| c_lessequals(c_0,c_uminus(X1,t_b),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_97]),c_0_32])]) ).
cnf(c_0_156,negated_conjecture,
( ~ c_lessequals(X2,X1,t_b)
| ~ c_lessequals(c_0,X2,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_uminus(c_0,t_b),X1,t_b) ),
inference(spm,[status(thm)],[c_0_138,c_0_151]) ).
cnf(c_0_157,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oabs__ge__zero_0]) ).
cnf(c_0_158,negated_conjecture,
( ~ c_lessequals(X3,X2,t_b)
| ~ c_lessequals(c_0,c_minus(X3,X1,t_b),t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(X1,X2,t_b) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_159,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_plus(X1,c_uminus(X1,t_b),t_b) = c_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_38]),c_0_52]) ).
cnf(c_0_160,negated_conjecture,
( ~ c_lessequals(c_plus(X1,X2,t_b),X2,t_b)
| c_lessequals(X1,c_uminus(c_0,t_b),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_97]),c_0_32])]) ).
cnf(c_0_161,negated_conjecture,
( ~ c_lessequals(X1,c_0,t_b)
| c_lessequals(c_0,c_uminus(X1,t_b),t_b) ),
inference(spm,[status(thm)],[c_0_155,c_0_52]) ).
cnf(c_0_162,negated_conjecture,
( ~ c_lessequals(X2,X1,t_b)
| ~ c_lessequals(c_0,X2,t_b)
| c_lessequals(c_uminus(c_0,t_b),X1,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_70]),c_0_32])]) ).
cnf(c_0_163,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1) ),
c_0_157 ).
cnf(c_0_164,negated_conjecture,
( ~ c_lessequals(X3,X2,t_b)
| ~ c_lessequals(c_0,c_minus(X3,X1,t_b),t_b)
| c_lessequals(X1,X2,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_29]),c_0_32])]) ).
cnf(c_0_165,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_uminus(c_uminus(X1,t_b),t_b),X1,t_b) = c_uminus(c_0,t_b) ),
inference(spm,[status(thm)],[c_0_103,c_0_159]) ).
cnf(c_0_166,negated_conjecture,
c_lessequals(c_0,c_uminus(c_0,t_b),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_52]),c_0_78])]) ).
cnf(c_0_167,negated_conjecture,
( ~ c_lessequals(X1,X3,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(X2,X3,t_b)
| c_lessequals(X1,X2,t_b) ),
inference(spm,[status(thm)],[c_0_138,c_0_74]) ).
cnf(c_0_168,negated_conjecture,
( ~ c_lessequals(X2,c_0,t_b)
| ~ c_lessequals(c_uminus(X2,t_b),X1,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(spm,[status(thm)],[c_0_138,c_0_161]) ).
cnf(c_0_169,negated_conjecture,
( ~ c_lessequals(X1,c_0,t_b)
| c_lessequals(X1,c_uminus(c_0,t_b),t_b) ),
inference(spm,[status(thm)],[c_0_160,c_0_104]) ).
cnf(c_0_170,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs(X2,t_b),X1,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(c_uminus(c_0,t_b),X1,t_b) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_171,negated_conjecture,
( ~ c_lessequals(c_uminus(c_uminus(X1,t_b),t_b),X2,t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(X1,X2,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166])]) ).
cnf(c_0_172,negated_conjecture,
( ~ c_lessequals(X1,c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_HOL_Oabs(X1,t_b) = c_minus(c_0,X1,t_b) ),
inference(spm,[status(thm)],[c_0_84,c_0_98]) ).
cnf(c_0_173,negated_conjecture,
( ~ c_lessequals(X3,X2,t_b)
| c_lessequals(X3,X1,t_b)
| c_lessequals(X1,X2,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_70]),c_0_32])]) ).
cnf(c_0_174,negated_conjecture,
( ~ c_lessequals(X2,c_0,t_b)
| ~ c_lessequals(c_minus(c_0,X2,t_b),X1,t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(spm,[status(thm)],[c_0_168,c_0_101]) ).
cnf(c_0_175,negated_conjecture,
( ~ c_lessequals(X1,c_0,t_b)
| ~ c_lessequals(c_uminus(c_0,t_b),X2,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(X1,X2,t_b) ),
inference(spm,[status(thm)],[c_0_138,c_0_169]) ).
cnf(c_0_176,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs(X2,t_b),X1,t_b)
| c_lessequals(c_uminus(c_0,t_b),X1,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_97]),c_0_32])]) ).
cnf(c_0_177,negated_conjecture,
( ~ c_lessequals(c_minus(c_0,c_uminus(X1,t_b),t_b),X2,t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(X1,X2,t_b) ),
inference(spm,[status(thm)],[c_0_171,c_0_101]) ).
cnf(c_0_178,negated_conjecture,
( ~ c_lessequals(c_uminus(X1,t_b),c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_0,c_uminus(X1,t_b),t_b) = c_HOL_Oabs(X1,t_b) ),
inference(spm,[status(thm)],[c_0_79,c_0_172]) ).
cnf(c_0_179,negated_conjecture,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(c_0,X1,t_b)
| c_lessequals(X1,c_HOL_Oabs(X2,t_b),t_b) ),
inference(spm,[status(thm)],[c_0_173,c_0_163]) ).
cnf(c_0_180,negated_conjecture,
( ~ c_lessequals(X2,c_0,t_b)
| ~ c_lessequals(c_minus(c_0,X2,t_b),X1,t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_70]),c_0_32])]) ).
cnf(c_0_181,negated_conjecture,
( ~ c_lessequals(c_uminus(c_0,t_b),X1,t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(c_uminus(X1,t_b),c_0,t_b) ),
inference(spm,[status(thm)],[c_0_129,c_0_123]) ).
cnf(c_0_182,negated_conjecture,
( ~ c_lessequals(X1,c_0,t_b)
| ~ c_lessequals(c_uminus(c_0,t_b),X2,t_b)
| c_lessequals(X1,X2,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_70]),c_0_32])]) ).
cnf(c_0_183,negated_conjecture,
c_lessequals(c_uminus(c_0,t_b),c_HOL_Oabs(X1,t_b),t_b),
inference(spm,[status(thm)],[c_0_176,c_0_78]) ).
cnf(c_0_184,negated_conjecture,
( ~ c_lessequals(X3,c_minus(c_plus(X1,X3,t_b),X2,t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(c_0,c_minus(X1,X2,t_b),t_b) ),
inference(spm,[status(thm)],[c_0_126,c_0_90]) ).
cnf(c_0_185,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs(X1,t_b),X2,t_b)
| ~ c_lessequals(c_uminus(X1,t_b),c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(X1,X2,t_b) ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_186,negated_conjecture,
( c_lessequals(c_0,X1,t_b)
| c_lessequals(X1,c_HOL_Oabs(X2,t_b),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_97]),c_0_32])]) ).
cnf(c_0_187,negated_conjecture,
( ~ c_lessequals(X2,X1,t_b)
| ~ c_lessequals(c_uminus(X2,t_b),c_0,t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_38]),c_0_52]) ).
cnf(c_0_188,negated_conjecture,
( ~ c_lessequals(c_uminus(c_0,t_b),X1,t_b)
| c_lessequals(c_uminus(X1,t_b),c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_29]),c_0_32])]) ).
cnf(c_0_189,negated_conjecture,
( ~ c_lessequals(X1,c_0,t_b)
| c_lessequals(X1,c_HOL_Oabs(X2,t_b),t_b) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_190,negated_conjecture,
c_lessequals(c_uminus(c_0,t_b),c_0,t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_52]),c_0_78])]) ).
cnf(c_0_191,negated_conjecture,
( ~ c_lessequals(X2,X1,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(c_0,c_minus(X1,X2,t_b),t_b) ),
inference(spm,[status(thm)],[c_0_184,c_0_114]) ).
cnf(c_0_192,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs(X1,t_b),X2,t_b)
| ~ c_lessequals(c_uminus(X1,t_b),c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(X1,X2,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_29]),c_0_32])]) ).
cnf(c_0_193,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs(X3,t_b),X2,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(X1,X2,t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(spm,[status(thm)],[c_0_138,c_0_186]) ).
cnf(c_0_194,negated_conjecture,
~ 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(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
cnf(c_0_195,plain,
( ~ c_lessequals(X4,X3,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| c_lessequals(c_Orderings_Omax(X4,X2,X1),X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2]) ).
cnf(c_0_196,negated_conjecture,
( ~ c_lessequals(X2,X1,t_b)
| ~ c_lessequals(c_uminus(X2,t_b),c_0,t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_29]),c_0_32])]) ).
cnf(c_0_197,negated_conjecture,
c_lessequals(c_uminus(c_HOL_Oabs(X1,t_b),t_b),c_0,t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190])]) ).
cnf(c_0_198,negated_conjecture,
( ~ c_lessequals(X1,X3,t_b)
| ~ c_lessequals(X3,X2,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| c_lessequals(X1,X2,t_b) ),
inference(spm,[status(thm)],[c_0_164,c_0_191]) ).
cnf(c_0_199,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs(X1,t_b),X2,t_b)
| ~ c_lessequals(c_uminus(X1,t_b),c_0,t_b)
| c_lessequals(X1,X2,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_97]),c_0_32])]) ).
cnf(c_0_200,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs(X3,t_b),X2,t_b)
| c_lessequals(X1,X2,t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_70]),c_0_32])]) ).
cnf(c_0_201,negated_conjecture,
~ 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),
c_0_194 ).
cnf(c_0_202,plain,
( ~ c_lessequals(X4,X3,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| c_lessequals(c_Orderings_Omax(X4,X2,X1),X3,X1) ),
c_0_195 ).
cnf(c_0_203,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs(X2,t_b),X1,t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_204,negated_conjecture,
( ~ c_lessequals(X1,X3,t_b)
| ~ c_lessequals(X3,X2,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(X1,X2,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_29]),c_0_32])]) ).
cnf(c_0_205,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs(X1,t_b),X2,t_b)
| c_lessequals(X1,X2,t_b) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_134]),c_0_200]) ).
cnf(c_0_206,plain,
( ~ c_lessequals(X2,c_plus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_lessequals(c_minus(X2,X4,X1),X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Ocompare__rls__8_1]) ).
cnf(c_0_207,negated_conjecture,
( ~ 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)
| ~ class_Orderings_Olinorder(t_b) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_208,negated_conjecture,
c_lessequals(c_0,c_HOL_Oabs(X1,t_b),t_b),
inference(spm,[status(thm)],[c_0_203,c_0_78]) ).
cnf(c_0_209,negated_conjecture,
( ~ c_lessequals(X1,X3,t_b)
| ~ c_lessequals(X3,X2,t_b)
| c_lessequals(X1,X2,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_97]),c_0_32])]) ).
cnf(c_0_210,negated_conjecture,
c_lessequals(X1,c_HOL_Oabs(X1,t_b),t_b),
inference(spm,[status(thm)],[c_0_205,c_0_78]) ).
cnf(c_0_211,plain,
( ~ c_lessequals(X2,c_plus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_lessequals(c_minus(X2,X4,X1),X3,X1) ),
c_0_206 ).
cnf(c_0_212,negated_conjecture,
( ~ 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)
| ~ class_Orderings_Olinorder(t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_208])]) ).
cnf(c_0_213,negated_conjecture,
( ~ c_lessequals(X1,X2,t_b)
| c_lessequals(X1,c_HOL_Oabs(X2,t_b),t_b) ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_214,plain,
( ~ c_lessequals(X1,c_minus(c_plus(X4,X2,X3),X5,X3),X3)
| ~ class_OrderedGroup_Oab__group__add(X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(c_minus(X1,X2,X3),c_minus(X4,X5,X3),X3) ),
inference(spm,[status(thm)],[c_0_211,c_0_90]) ).
cnf(c_0_215,negated_conjecture,
( ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_216,negated_conjecture,
( ~ c_lessequals(X1,X3,t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_minus(X1,X2,t_b),c_minus(X3,X2,t_b),t_b) ),
inference(spm,[status(thm)],[c_0_214,c_0_114]) ).
cnf(c_0_217,negated_conjecture,
c_lessequals(v_k(X1),v_f(X1),t_b),
cls_conjecture_1 ).
cnf(c_0_218,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_217])]) ).
cnf(c_0_219,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_OrderedGroup_Olordered__ab__group__abs_1]) ).
cnf(c_0_220,negated_conjecture,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_48]),c_0_32])]) ).
cnf(c_0_221,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_219 ).
cnf(c_0_222,negated_conjecture,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b) ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_223,negated_conjecture,
~ class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_29]),c_0_32])]) ).
cnf(c_0_224,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_97]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA022-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 13:29:09 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.08/3.61 % Version: 3.5.1
% 24.08/3.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 24.08/3.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.08/3.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 24.08/3.61 % Starting new_bool_3 with 300s (1) cores
% 24.08/3.61 % Starting new_bool_1 with 300s (1) cores
% 24.08/3.61 % Starting sh5l with 300s (1) cores
% 24.08/3.61 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2518480 completed with status 0
% 24.08/3.61 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 24.08/3.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 24.08/3.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.08/3.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 24.08/3.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 24.08/3.61 % No SInE strategy applied
% 24.08/3.61 % Search class: FGUSF-FFMF32-MFFFFFNN
% 24.08/3.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 24.08/3.61 % Starting SubtermCWHack with 136s (1) cores
% 24.08/3.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 24.08/3.61 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 24.08/3.61 % Starting new_bool_3 with 136s (1) cores
% 24.08/3.61 % Starting new_bool_1 with 136s (1) cores
% 24.08/3.61 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2518486 completed with status 0
% 24.08/3.61 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 24.08/3.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 24.08/3.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.08/3.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 24.08/3.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 24.08/3.61 % No SInE strategy applied
% 24.08/3.61 % Search class: FGUSF-FFMF32-MFFFFFNN
% 24.08/3.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 24.08/3.61 % Starting SubtermCWHack with 136s (1) cores
% 24.08/3.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 24.08/3.61 % Preprocessing time : 0.001 s
% 24.08/3.61 % Presaturation interreduction done
% 24.08/3.61
% 24.08/3.61 % Proof found!
% 24.08/3.61 % SZS status Unsatisfiable
% 24.08/3.61 % SZS output start CNFRefutation
% See solution above
% 24.08/3.61 % Parsed axioms : 27
% 24.08/3.61 % Removed by relevancy pruning/SinE : 0
% 24.08/3.61 % Initial clauses : 27
% 24.08/3.61 % Removed in clause preprocessing : 0
% 24.08/3.61 % Initial clauses in saturation : 27
% 24.08/3.61 % Processed clauses : 11462
% 24.08/3.61 % ...of these trivial : 94
% 24.08/3.61 % ...subsumed : 9052
% 24.08/3.61 % ...remaining for further processing : 2316
% 24.08/3.61 % Other redundant clauses eliminated : 0
% 24.08/3.61 % Clauses deleted for lack of memory : 0
% 24.08/3.61 % Backward-subsumed : 842
% 24.08/3.61 % Backward-rewritten : 146
% 24.08/3.61 % Generated clauses : 202809
% 24.08/3.61 % ...of the previous two non-redundant : 185859
% 24.08/3.61 % ...aggressively subsumed : 0
% 24.08/3.61 % Contextual simplify-reflections : 94
% 24.08/3.61 % Paramodulations : 202798
% 24.08/3.61 % Factorizations : 11
% 24.08/3.61 % NegExts : 0
% 24.08/3.61 % Equation resolutions : 0
% 24.08/3.61 % Disequality decompositions : 0
% 24.08/3.61 % Total rewrite steps : 72079
% 24.08/3.61 % ...of those cached : 70715
% 24.08/3.61 % Propositional unsat checks : 0
% 24.08/3.61 % Propositional check models : 0
% 24.08/3.61 % Propositional check unsatisfiable : 0
% 24.08/3.61 % Propositional clauses : 0
% 24.08/3.61 % Propositional clauses after purity: 0
% 24.08/3.61 % Propositional unsat core size : 0
% 24.08/3.61 % Propositional preprocessing time : 0.000
% 24.08/3.61 % Propositional encoding time : 0.000
% 24.08/3.61 % Propositional solver time : 0.000
% 24.08/3.61 % Success case prop preproc time : 0.000
% 24.08/3.61 % Success case prop encoding time : 0.000
% 24.08/3.61 % Success case prop solver time : 0.000
% 24.08/3.61 % Current number of processed clauses : 1301
% 24.08/3.61 % Positive orientable unit clauses : 53
% 24.08/3.61 % Positive unorientable unit clauses: 1
% 24.08/3.61 % Negative unit clauses : 5
% 24.08/3.61 % Non-unit-clauses : 1242
% 24.08/3.61 % Current number of unprocessed clauses: 173620
% 24.08/3.61 % ...number of literals in the above : 671078
% 24.08/3.61 % Current number of archived formulas : 0
% 24.08/3.61 % Current number of archived clauses : 1015
% 24.08/3.61 % Clause-clause subsumption calls (NU) : 475089
% 24.08/3.61 % Rec. Clause-clause subsumption calls : 293527
% 24.08/3.61 % Non-unit clause-clause subsumptions : 9897
% 24.08/3.61 % Unit Clause-clause subsumption calls : 1545
% 24.08/3.61 % Rewrite failures with RHS unbound : 0
% 24.08/3.61 % BW rewrite match attempts : 239
% 24.08/3.61 % BW rewrite match successes : 85
% 24.08/3.61 % Condensation attempts : 0
% 24.08/3.61 % Condensation successes : 0
% 24.08/3.61 % Termbank termtop insertions : 4576805
% 24.08/3.61 % Search garbage collected termcells : 56
% 24.08/3.61
% 24.08/3.61 % -------------------------------------------------
% 24.08/3.61 % User time : 2.871 s
% 24.08/3.61 % System time : 0.124 s
% 24.08/3.61 % Total time : 2.995 s
% 24.08/3.61 % Maximum resident set size: 3656 pages
% 24.08/3.61
% 24.08/3.61 % -------------------------------------------------
% 24.08/3.61 % User time : 14.332 s
% 24.08/3.61 % System time : 0.556 s
% 24.08/3.61 % Total time : 14.888 s
% 24.08/3.61 % Maximum resident set size: 4864 pages
% 24.08/3.61 % E exiting
%------------------------------------------------------------------------------