TSTP Solution File: ANA026-2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : ANA026-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:16:04 EDT 2023

% Result   : Unsatisfiable 1304.93s 177.82s
% Output   : CNFRefutation 1304.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   28
% Syntax   : Number of clauses     :  139 (  25 unt;   9 nHn;  87 RR)
%            Number of literals    :  316 (  40 equ; 209 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   :  275 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',clsrel_Ring__and__Field_Oordered__idom_4) ).

cnf(tfree_tcs,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',tfree_tcs) ).

cnf(cls_Orderings_Olinorder__not__le_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_Orderings_Olinorder__not__le_1) ).

cnf(cls_OrderedGroup_Ocompare__rls__6_0,axiom,
    ( c_less(X2,c_plus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_minus(X2,X3,X1),X4,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_OrderedGroup_Ocompare__rls__6_0) ).

cnf(cls_OrderedGroup_Odiff__self_0,axiom,
    ( c_minus(X2,X2,X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_OrderedGroup_Odiff__self_0) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',clsrel_Ring__and__Field_Oordered__idom_33) ).

cnf(cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,axiom,
    ( c_plus(c_0,X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_23,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',clsrel_Ring__and__Field_Oordered__idom_23) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_1,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

cnf(cls_OrderedGroup_Oab__group__add__class_Odiff__minus_0,axiom,
    ( c_minus(X2,X3,X1) = c_plus(X2,c_uminus(X3,X1),X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_OrderedGroup_Oab__group__add__class_Odiff__minus_0) ).

cnf(cls_OrderedGroup_Ocompare__rls__10_1,axiom,
    ( c_minus(c_plus(X2,X3,X1),X3,X1) = X2
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_OrderedGroup_Ocompare__rls__10_1) ).

cnf(cls_OrderedGroup_Ominus__diff__eq_0,axiom,
    ( c_uminus(c_minus(X2,X3,X1),X1) = c_minus(X3,X2,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_OrderedGroup_Ominus__diff__eq_0) ).

cnf(cls_OrderedGroup_Ocompare__rls__3_0,axiom,
    ( c_plus(c_minus(X2,X3,X1),X4,X1) = c_minus(c_plus(X2,X4,X1),X3,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_OrderedGroup_Ocompare__rls__3_0) ).

cnf(cls_OrderedGroup_Ocompare__rls__4_0,axiom,
    ( c_minus(c_minus(X2,X3,X1),X4,X1) = c_minus(X2,c_plus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_OrderedGroup_Ocompare__rls__4_0) ).

cnf(cls_OrderedGroup_Oabs__of__nonpos_0,axiom,
    ( c_HOL_Oabs(X2,X1) = c_uminus(X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_OrderedGroup_Oabs__of__nonpos_0) ).

cnf(cls_Orderings_Olinorder__not__le_0,axiom,
    ( c_less(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_Orderings_Olinorder__not__le_0) ).

cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',clsrel_LOrder_Ojoin__semilorder_1) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_35,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',clsrel_Ring__and__Field_Oordered__idom_35) ).

cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_less(X2,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_Orderings_Oorder__less__imp__le_0) ).

cnf(cls_OrderedGroup_Oabs__minus__cancel_0,axiom,
    ( c_HOL_Oabs(c_uminus(X2,X1),X1) = c_HOL_Oabs(X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_OrderedGroup_Oabs__minus__cancel_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(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/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_conjecture_2) ).

cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,axiom,
    ( c_lessequals(c_Orderings_Omax(X4,X2,X1),X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).

cnf(cls_OrderedGroup_Oadd__le__cancel__left_1,axiom,
    ( c_lessequals(c_plus(X4,X2,X1),c_plus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_OrderedGroup_Oadd__le__cancel__left_1) ).

cnf(cls_OrderedGroup_Ocompare__rls__8_1,axiom,
    ( c_lessequals(c_minus(X2,X4,X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_plus(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_OrderedGroup_Ocompare__rls__8_1) ).

cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
    ( c_lessequals(X4,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_lessequals(v_g(X1),v_k(X1),t_b),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',cls_conjecture_1) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_6,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).

cnf(c_0_28,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_4 ).

cnf(c_0_29,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    tfree_tcs ).

cnf(c_0_30,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_Orderings_Olinorder__not__le_1 ).

cnf(c_0_31,axiom,
    ( c_less(X2,c_plus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_minus(X2,X3,X1),X4,X1) ),
    cls_OrderedGroup_Ocompare__rls__6_0 ).

cnf(c_0_32,axiom,
    ( c_minus(X2,X2,X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Odiff__self_0 ).

cnf(c_0_33,negated_conjecture,
    class_OrderedGroup_Oab__group__add(t_b),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_34,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_less(c_minus(X2,X3,X1),X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_plus(X4,X3,X1),X2,X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_35,negated_conjecture,
    c_minus(X1,X1,t_b) = c_0,
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ class_Orderings_Olinorder(t_b)
    | ~ c_less(c_0,X1,t_b)
    | ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | ~ c_lessequals(c_plus(X1,X2,t_b),X2,t_b) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_37,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_33 ).

cnf(c_0_38,axiom,
    ( c_plus(c_0,X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0 ).

cnf(c_0_39,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_23 ).

cnf(c_0_40,negated_conjecture,
    ( ~ c_less(c_0,X1,t_b)
    | ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | ~ c_lessequals(c_plus(X1,X2,t_b),X2,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_29])]) ).

cnf(c_0_41,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_1 ).

cnf(c_0_42,plain,
    ( c_plus(c_0,X1,X2) = X1
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ c_less(c_0,X1,t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(c_plus(X1,X2,t_b),X2,t_b) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_44,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_50 ).

cnf(c_0_45,negated_conjecture,
    c_plus(c_0,X1,t_b) = X1,
    inference(spm,[status(thm)],[c_0_42,c_0_29]) ).

cnf(c_0_46,axiom,
    ( c_minus(X2,X3,X1) = c_plus(X2,c_uminus(X3,X1),X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Oab__group__add__class_Odiff__minus_0 ).

cnf(c_0_47,negated_conjecture,
    ( ~ c_less(c_0,X1,t_b)
    | ~ c_lessequals(c_plus(X1,X2,t_b),X2,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_29])]) ).

cnf(c_0_48,negated_conjecture,
    c_uminus(X1,t_b) = c_minus(c_0,X1,t_b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_33])]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ c_less(c_0,X1,t_b)
    | ~ c_lessequals(c_minus(X1,X2,t_b),c_minus(c_0,X2,t_b),t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_46]),c_0_48]),c_0_33])]) ).

cnf(c_0_50,axiom,
    ( c_minus(c_plus(X2,X3,X1),X3,X1) = X2
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Ocompare__rls__10_1 ).

cnf(c_0_51,negated_conjecture,
    ( ~ c_less(c_0,c_plus(X1,X2,t_b),t_b)
    | ~ c_lessequals(X1,c_minus(c_0,X2,t_b),t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_33])]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ c_less(c_minus(c_0,X1,t_b),X2,t_b)
    | ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | ~ c_lessequals(X2,c_minus(c_0,X1,t_b),t_b) ),
    inference(spm,[status(thm)],[c_0_51,c_0_31]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ c_less(c_minus(c_0,X1,t_b),X2,t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(X2,c_minus(c_0,X1,t_b),t_b) ),
    inference(spm,[status(thm)],[c_0_52,c_0_41]) ).

cnf(c_0_54,axiom,
    ( c_uminus(c_minus(X2,X3,X1),X1) = c_minus(X3,X2,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Ominus__diff__eq_0 ).

cnf(c_0_55,negated_conjecture,
    ( ~ c_less(c_minus(c_0,X1,t_b),X2,t_b)
    | ~ c_lessequals(X2,c_minus(c_0,X1,t_b),t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_44]),c_0_29])]) ).

cnf(c_0_56,negated_conjecture,
    c_minus(c_0,c_minus(X1,X2,t_b),t_b) = c_minus(X2,X1,t_b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_48]),c_0_33])]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ c_less(c_minus(X1,X2,t_b),X3,t_b)
    | ~ c_lessequals(X3,c_minus(X1,X2,t_b),t_b) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_58,axiom,
    ( c_plus(c_minus(X2,X3,X1),X4,X1) = c_minus(c_plus(X2,X4,X1),X3,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Ocompare__rls__3_0 ).

cnf(c_0_59,negated_conjecture,
    ( ~ c_less(X1,X2,t_b)
    | ~ c_lessequals(X2,X1,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_50]),c_0_33])]) ).

cnf(c_0_60,negated_conjecture,
    c_minus(c_plus(X1,X2,t_b),X1,t_b) = X2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_35]),c_0_45]),c_0_33])]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ c_less(c_minus(X1,X2,t_b),X3,t_b)
    | ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | ~ c_lessequals(c_plus(X3,X2,t_b),X1,t_b) ),
    inference(spm,[status(thm)],[c_0_59,c_0_31]) ).

cnf(c_0_62,negated_conjecture,
    c_minus(c_minus(X1,X2,t_b),X1,t_b) = c_minus(c_0,X2,t_b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_46]),c_0_48]),c_0_33])]) ).

cnf(c_0_63,negated_conjecture,
    c_minus(X1,c_0,t_b) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_42]),c_0_29])]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ c_less(c_minus(X1,X2,t_b),X3,t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(c_plus(X3,X2,t_b),X1,t_b) ),
    inference(spm,[status(thm)],[c_0_61,c_0_41]) ).

cnf(c_0_65,negated_conjecture,
    c_minus(X1,c_minus(X1,X2,t_b),t_b) = X2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_62]),c_0_48]),c_0_56]),c_0_63]),c_0_33])]) ).

cnf(c_0_66,plain,
    ( c_uminus(X1,X2) = c_minus(X3,c_plus(X1,X3,X2),X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_50]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ c_less(c_minus(X1,X2,t_b),X3,t_b)
    | ~ c_lessequals(c_plus(X3,X2,t_b),X1,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_44]),c_0_29])]) ).

cnf(c_0_68,plain,
    ( c_uminus(c_0,X1) = c_minus(X2,X2,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_32]) ).

cnf(c_0_69,negated_conjecture,
    c_minus(X1,c_minus(c_0,X2,t_b),t_b) = c_plus(X2,X1,t_b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_48]),c_0_33])]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ c_less(X1,X2,t_b)
    | ~ c_lessequals(c_plus(X2,X3,t_b),c_plus(X1,X3,t_b),t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_50]),c_0_33])]) ).

cnf(c_0_71,axiom,
    ( c_minus(c_minus(X2,X3,X1),X4,X1) = c_minus(X2,c_plus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Ocompare__rls__4_0 ).

cnf(c_0_72,negated_conjecture,
    c_plus(X1,c_minus(c_0,X1,t_b),t_b) = c_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_48]),c_0_35]),c_0_33])]) ).

cnf(c_0_73,axiom,
    ( c_HOL_Oabs(X2,X1) = c_uminus(X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    cls_OrderedGroup_Oabs__of__nonpos_0 ).

cnf(c_0_74,axiom,
    ( c_less(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_Orderings_Olinorder__not__le_0 ).

cnf(c_0_75,negated_conjecture,
    ( ~ c_less(X1,c_0,t_b)
    | ~ c_lessequals(X2,c_plus(X1,X2,t_b),t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_42]),c_0_29])]) ).

cnf(c_0_76,negated_conjecture,
    c_plus(X1,c_minus(X2,X1,t_b),t_b) = X2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_63]),c_0_69]),c_0_33])]) ).

cnf(c_0_77,negated_conjecture,
    c_minus(X1,c_plus(X1,X2,t_b),t_b) = c_minus(c_0,X2,t_b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_60]),c_0_48]),c_0_33])]) ).

cnf(c_0_78,plain,
    ( c_plus(X1,c_HOL_Oabs(X2,X3),X3) = c_minus(X1,X2,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X3)
    | ~ class_OrderedGroup_Oab__group__add(X3)
    | ~ c_lessequals(X2,c_0,X3) ),
    inference(spm,[status(thm)],[c_0_46,c_0_73]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ c_less(c_0,c_minus(X1,X2,t_b),t_b)
    | ~ c_lessequals(X1,c_minus(c_0,c_minus(c_0,X2,t_b),t_b),t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_46]),c_0_48]),c_0_33])]) ).

cnf(c_0_80,plain,
    ( c_less(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(spm,[status(thm)],[c_0_74,c_0_37]) ).

cnf(c_0_81,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    clsrel_LOrder_Ojoin__semilorder_1 ).

cnf(c_0_82,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_35 ).

cnf(c_0_83,negated_conjecture,
    ( ~ c_less(X1,c_0,t_b)
    | ~ c_lessequals(c_minus(X2,X1,t_b),X2,t_b) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_84,negated_conjecture,
    ( c_minus(c_0,c_HOL_Oabs(X1,t_b),t_b) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(X1,c_0,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_65]),c_0_33])]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ c_less(c_0,c_minus(X1,X2,t_b),t_b)
    | ~ c_lessequals(X1,X2,t_b) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_56]),c_0_63]) ).

cnf(c_0_86,negated_conjecture,
    ( c_less(X1,X2,t_b)
    | c_lessequals(X2,X1,t_b) ),
    inference(spm,[status(thm)],[c_0_80,c_0_29]) ).

cnf(c_0_87,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_Orderings_Oorder__less__imp__le_0 ).

cnf(c_0_88,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_89,negated_conjecture,
    ( ~ c_less(c_HOL_Oabs(X1,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_83,c_0_84]) ).

cnf(c_0_90,negated_conjecture,
    ( c_lessequals(c_minus(X1,X2,t_b),c_0,t_b)
    | ~ c_lessequals(X1,X2,t_b) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_91,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_92,negated_conjecture,
    ( ~ c_less(c_HOL_Oabs(X1,t_b),c_0,t_b)
    | ~ c_lessequals(X1,c_0,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_44]),c_0_29])]) ).

cnf(c_0_93,axiom,
    ( c_HOL_Oabs(c_uminus(X2,X1),X1) = c_HOL_Oabs(X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    cls_OrderedGroup_Oabs__minus__cancel_0 ).

cnf(c_0_94,negated_conjecture,
    ( c_lessequals(X1,c_0,t_b)
    | ~ c_lessequals(c_plus(X1,X2,t_b),X2,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_50]),c_0_33])]) ).

cnf(c_0_95,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | c_lessequals(X2,X1,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_86]),c_0_29])]) ).

cnf(c_0_96,negated_conjecture,
    ( ~ c_less(c_HOL_Oabs(X1,t_b),c_0,t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(c_minus(c_0,X1,t_b),c_0,t_b) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_48]) ).

cnf(c_0_97,negated_conjecture,
    ( c_lessequals(X1,c_plus(X2,X1,t_b),t_b)
    | c_lessequals(X2,c_0,t_b) ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_98,negated_conjecture,
    ( ~ c_less(c_HOL_Oabs(X1,t_b),c_0,t_b)
    | ~ c_lessequals(c_minus(c_0,X1,t_b),c_0,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_44]),c_0_29])]) ).

cnf(c_0_99,negated_conjecture,
    ( c_lessequals(c_minus(X1,X2,t_b),X1,t_b)
    | c_lessequals(X2,c_0,t_b) ),
    inference(spm,[status(thm)],[c_0_97,c_0_76]) ).

cnf(c_0_100,plain,
    ( c_uminus(X1,X2) = c_minus(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_46]),c_0_28]) ).

cnf(c_0_101,negated_conjecture,
    ~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(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),
    cls_conjecture_2 ).

cnf(c_0_102,axiom,
    ( c_lessequals(c_Orderings_Omax(X4,X2,X1),X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2 ).

cnf(c_0_103,negated_conjecture,
    ~ c_less(c_HOL_Oabs(X1,t_b),c_0,t_b),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_92]) ).

cnf(c_0_104,plain,
    ( c_HOL_Oabs(c_minus(c_0,X1,X2),X2) = c_HOL_Oabs(X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_100]),c_0_44]) ).

cnf(c_0_105,negated_conjecture,
    ( ~ c_less(X1,X2,t_b)
    | ~ c_lessequals(c_plus(X2,X3,t_b),c_plus(X3,X1,t_b),t_b) ),
    inference(spm,[status(thm)],[c_0_67,c_0_60]) ).

cnf(c_0_106,negated_conjecture,
    ( ~ class_Orderings_Olinorder(t_b)
    | ~ c_lessequals(c_minus(v_f(v_x),v_k(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_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_107,negated_conjecture,
    c_lessequals(c_0,c_HOL_Oabs(X1,t_b),t_b),
    inference(spm,[status(thm)],[c_0_103,c_0_86]) ).

cnf(c_0_108,plain,
    ( c_HOL_Oabs(X1,X2) = c_minus(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_lessequals(X1,c_0,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_100]),c_0_44]) ).

cnf(c_0_109,negated_conjecture,
    c_HOL_Oabs(c_minus(c_0,X1,t_b),t_b) = c_HOL_Oabs(X1,t_b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_77]),c_0_45]),c_0_29])]) ).

cnf(c_0_110,axiom,
    ( c_lessequals(c_plus(X4,X2,X1),c_plus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_OrderedGroup_Oadd__le__cancel__left_1 ).

cnf(c_0_111,negated_conjecture,
    ( ~ c_less(X1,c_0,t_b)
    | ~ c_lessequals(X2,c_plus(X2,X1,t_b),t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_42]),c_0_29])]) ).

cnf(c_0_112,axiom,
    ( c_lessequals(c_minus(X2,X4,X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_plus(X3,X4,X1),X1) ),
    cls_OrderedGroup_Ocompare__rls__8_1 ).

cnf(c_0_113,axiom,
    ( c_lessequals(X4,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X2,X1) ),
    cls_Orderings_Oorder__class_Oorder__trans_0 ).

cnf(c_0_114,negated_conjecture,
    c_lessequals(v_g(X1),v_k(X1),t_b),
    cls_conjecture_1 ).

cnf(c_0_115,negated_conjecture,
    ( ~ class_Orderings_Olinorder(t_b)
    | ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]) ).

cnf(c_0_116,negated_conjecture,
    ( c_HOL_Oabs(X1,t_b) = X1
    | ~ c_lessequals(c_minus(c_0,X1,t_b),c_0,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_65]),c_0_29])]) ).

cnf(c_0_117,plain,
    ( c_lessequals(c_plus(X1,X2,X3),c_minus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ class_OrderedGroup_Oab__group__add(X3)
    | ~ c_lessequals(X2,c_uminus(X4,X3),X3) ),
    inference(spm,[status(thm)],[c_0_110,c_0_46]) ).

cnf(c_0_118,negated_conjecture,
    ( ~ c_less(c_minus(X1,X2,t_b),c_0,t_b)
    | ~ c_lessequals(X2,X1,t_b) ),
    inference(spm,[status(thm)],[c_0_111,c_0_76]) ).

cnf(c_0_119,plain,
    ( c_lessequals(c_minus(X1,X2,X3),c_0,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_lessequals(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_112,c_0_42]) ).

cnf(c_0_120,negated_conjecture,
    ( c_lessequals(v_g(X1),X2,t_b)
    | ~ class_Orderings_Oorder(t_b)
    | ~ c_lessequals(v_k(X1),X2,t_b) ),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ class_Orderings_Olinorder(t_b)
    | ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b)
    | ~ c_lessequals(c_minus(v_g(v_x),v_f(v_x),t_b),c_0,t_b) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_56]) ).

cnf(c_0_122,plain,
    ( c_lessequals(c_minus(X1,X2,X3),c_minus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ class_OrderedGroup_Oab__group__add(X3)
    | ~ c_lessequals(c_uminus(X2,X3),c_uminus(X4,X3),X3) ),
    inference(spm,[status(thm)],[c_0_117,c_0_46]) ).

cnf(c_0_123,plain,
    ( c_lessequals(c_minus(X1,X2,X3),c_minus(X4,X5,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ class_OrderedGroup_Oab__group__add(X3)
    | ~ c_lessequals(X1,c_minus(c_plus(X4,X2,X3),X5,X3),X3) ),
    inference(spm,[status(thm)],[c_0_112,c_0_58]) ).

cnf(c_0_124,negated_conjecture,
    ( c_lessequals(c_0,c_minus(X1,X2,t_b),t_b)
    | ~ c_lessequals(X2,X1,t_b) ),
    inference(spm,[status(thm)],[c_0_118,c_0_86]) ).

cnf(c_0_125,plain,
    ( c_lessequals(c_minus(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_119]),c_0_88]) ).

cnf(c_0_126,negated_conjecture,
    ( c_lessequals(X1,v_k(X2),t_b)
    | c_lessequals(v_g(X2),X1,t_b)
    | ~ class_Orderings_Oorder(t_b) ),
    inference(spm,[status(thm)],[c_0_120,c_0_95]) ).

cnf(c_0_127,negated_conjecture,
    ( ~ class_Orderings_Olinorder(t_b)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
    | ~ c_lessequals(c_minus(c_0,v_k(v_x),t_b),c_minus(c_0,v_g(v_x),t_b),t_b)
    | ~ c_lessequals(c_minus(v_g(v_x),v_f(v_x),t_b),c_0,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_33]),c_0_48]),c_0_48])]) ).

cnf(c_0_128,negated_conjecture,
    ( c_lessequals(c_minus(c_0,X1,t_b),c_minus(X2,X3,t_b),t_b)
    | ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | ~ c_lessequals(X3,c_plus(X2,X1,t_b),t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_33])]) ).

cnf(c_0_129,negated_conjecture,
    ( ~ class_Orderings_Olinorder(t_b)
    | ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | ~ c_lessequals(v_f(v_x),v_k(v_x),t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_125]),c_0_29]),c_0_107])]) ).

cnf(c_0_130,negated_conjecture,
    ( c_lessequals(v_g(X1),X2,t_b)
    | c_lessequals(X2,v_k(X1),t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_88]),c_0_29])]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ class_Orderings_Olinorder(t_b)
    | ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
    | ~ c_lessequals(c_minus(v_g(v_x),v_f(v_x),t_b),c_0,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_45]),c_0_114])]) ).

cnf(c_0_132,negated_conjecture,
    c_lessequals(X1,X1,t_b),
    inference(ef,[status(thm)],[c_0_95]) ).

cnf(c_0_133,negated_conjecture,
    ( c_lessequals(v_g(v_x),v_f(v_x),t_b)
    | ~ class_Orderings_Olinorder(t_b)
    | ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_134,negated_conjecture,
    ( ~ class_Orderings_Olinorder(t_b)
    | ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_125]),c_0_29]),c_0_132])]),c_0_133]) ).

cnf(c_0_135,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_6 ).

cnf(c_0_136,negated_conjecture,
    ( ~ class_Orderings_Olinorder(t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_41]),c_0_135]) ).

cnf(c_0_137,negated_conjecture,
    ~ class_OrderedGroup_Olordered__ab__group__abs(t_b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_37]),c_0_29])]) ).

cnf(c_0_138,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_44]),c_0_29])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ANA026-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Oct  2 15:24:07 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.2iqjDW4aTR/E---3.1_31134.p
% 1304.93/177.82  # Version: 3.1pre001
% 1304.93/177.82  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1304.93/177.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1304.93/177.82  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1304.93/177.82  # Starting new_bool_3 with 300s (1) cores
% 1304.93/177.82  # Starting new_bool_1 with 300s (1) cores
% 1304.93/177.82  # Starting sh5l with 300s (1) cores
% 1304.93/177.82  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 31212 completed with status 0
% 1304.93/177.82  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1304.93/177.82  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1304.93/177.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1304.93/177.82  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1304.93/177.82  # No SInE strategy applied
% 1304.93/177.82  # Search class: FGHSF-FFMF32-MFFFFFNN
% 1304.93/177.82  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1304.93/177.82  # Starting G-E--_208_C18CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 1304.93/177.82  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1304.93/177.82  # Starting new_bool_3 with 136s (1) cores
% 1304.93/177.82  # Starting new_bool_1 with 136s (1) cores
% 1304.93/177.82  # Starting sh5l with 136s (1) cores
% 1304.93/177.82  # new_bool_3 with pid 31220 completed with status 7
% 1304.93/177.82  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 130s (1) cores
% 1304.93/177.82  # new_bool_1 with pid 31221 completed with status 7
% 1304.93/177.82  # sh5l with pid 31222 completed with status 7
% 1304.93/177.82  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 31218 completed with status 7
% 1304.93/177.82  # G-E--_208_C18_F1_SE_CS_SP_PS_S0U with pid 543 completed with status 0
% 1304.93/177.82  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S0U
% 1304.93/177.82  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1304.93/177.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1304.93/177.82  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1304.93/177.82  # No SInE strategy applied
% 1304.93/177.82  # Search class: FGHSF-FFMF32-MFFFFFNN
% 1304.93/177.82  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1304.93/177.82  # Starting G-E--_208_C18CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 1304.93/177.82  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1304.93/177.82  # Starting new_bool_3 with 136s (1) cores
% 1304.93/177.82  # Starting new_bool_1 with 136s (1) cores
% 1304.93/177.82  # Starting sh5l with 136s (1) cores
% 1304.93/177.82  # new_bool_3 with pid 31220 completed with status 7
% 1304.93/177.82  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 130s (1) cores
% 1304.93/177.82  # Preprocessing time       : 0.001 s
% 1304.93/177.82  # Presaturation interreduction done
% 1304.93/177.82  
% 1304.93/177.82  # Proof found!
% 1304.93/177.82  # SZS status Unsatisfiable
% 1304.93/177.82  # SZS output start CNFRefutation
% See solution above
% 1304.93/177.82  # Parsed axioms                        : 31
% 1304.93/177.82  # Removed by relevancy pruning/SinE    : 0
% 1304.93/177.82  # Initial clauses                      : 31
% 1304.93/177.82  # Removed in clause preprocessing      : 0
% 1304.93/177.82  # Initial clauses in saturation        : 31
% 1304.93/177.82  # Processed clauses                    : 37899
% 1304.93/177.82  # ...of these trivial                  : 377
% 1304.93/177.82  # ...subsumed                          : 34251
% 1304.93/177.82  # ...remaining for further processing  : 3271
% 1304.93/177.82  # Other redundant clauses eliminated   : 0
% 1304.93/177.82  # Clauses deleted for lack of memory   : 0
% 1304.93/177.82  # Backward-subsumed                    : 337
% 1304.93/177.82  # Backward-rewritten                   : 151
% 1304.93/177.82  # Generated clauses                    : 2064398
% 1304.93/177.82  # ...of the previous two non-redundant : 2011002
% 1304.93/177.82  # ...aggressively subsumed             : 0
% 1304.93/177.82  # Contextual simplify-reflections      : 246
% 1304.93/177.82  # Paramodulations                      : 2064392
% 1304.93/177.82  # Factorizations                       : 6
% 1304.93/177.82  # NegExts                              : 0
% 1304.93/177.82  # Equation resolutions                 : 0
% 1304.93/177.82  # Total rewrite steps                  : 3264197
% 1304.93/177.82  # Propositional unsat checks           : 0
% 1304.93/177.82  #    Propositional check models        : 0
% 1304.93/177.82  #    Propositional check unsatisfiable : 0
% 1304.93/177.82  #    Propositional clauses             : 0
% 1304.93/177.82  #    Propositional clauses after purity: 0
% 1304.93/177.82  #    Propositional unsat core size     : 0
% 1304.93/177.82  #    Propositional preprocessing time  : 0.000
% 1304.93/177.82  #    Propositional encoding time       : 0.000
% 1304.93/177.82  #    Propositional solver time         : 0.000
% 1304.93/177.82  #    Success case prop preproc time    : 0.000
% 1304.93/177.82  #    Success case prop encoding time   : 0.000
% 1304.93/177.82  #    Success case prop solver time     : 0.000
% 1304.93/177.82  # Current number of processed clauses  : 2752
% 1304.93/177.82  #    Positive orientable unit clauses  : 31
% 1304.93/177.82  #    Positive unorientable unit clauses: 9
% 1304.93/177.82  #    Negative unit clauses             : 5
% 1304.93/177.82  #    Non-unit-clauses                  : 2707
% 1304.93/177.82  # Current number of unprocessed clauses: 1970655
% 1304.93/177.82  # ...number of literals in the above   : 7004613
% 1304.93/177.82  # Current number of archived formulas  : 0
% 1304.93/177.82  # Current number of archived clauses   : 519
% 1304.93/177.82  # Clause-clause subsumption calls (NU) : 927550
% 1304.93/177.82  # Rec. Clause-clause subsumption calls : 578279
% 1304.93/177.82  # Non-unit clause-clause subsumptions  : 29850
% 1304.93/177.82  # Unit Clause-clause subsumption calls : 1657
% 1304.93/177.82  # Rewrite failures with RHS unbound    : 0
% 1304.93/177.82  # BW rewrite match attempts            : 1146
% 1304.93/177.82  # BW rewrite match successes           : 287
% 1304.93/177.82  # Condensation attempts                : 0
% 1304.93/177.82  # Condensation successes               : 0
% 1304.93/177.82  # Termbank termtop insertions          : 41330407
% 1304.93/177.82  
% 1304.93/177.82  # -------------------------------------------------
% 1304.93/177.82  # User time                : 595.605 s
% 1304.93/177.82  # System time              : 3.967 s
% 1304.93/177.82  # Total time               : 599.572 s
% 1304.93/177.82  # Maximum resident set size: 1644 pages
% 1304.93/177.82  
% 1304.93/177.82  # -------------------------------------------------
% 1304.93/177.82  # User time                : 769.583 s
% 1304.93/177.82  # System time              : 6.317 s
% 1304.93/177.82  # Total time               : 775.900 s
% 1304.93/177.82  # Maximum resident set size: 1732 pages
% 1304.93/177.82  % E---3.1 exiting
% 1304.93/177.82  % E---3.1 exiting
%------------------------------------------------------------------------------