TSTP Solution File: ANA022-2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ANA022-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 18:38:04 EDT 2024

% Result   : Unsatisfiable 17.70s 2.73s
% Output   : CNFRefutation 17.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   26
% Syntax   : Number of clauses     :  202 (  20 unt;  13 nHn; 121 RR)
%            Number of literals    :  513 (  65 equ; 308 neg)
%            Maximal clause size   :    6 (   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   :  396 (  15 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_OrderedGroup_Odiff__self_0,axiom,
    ( c_minus(X2,X2,X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__self_0) ).

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/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).

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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).

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/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/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

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/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__3_0) ).

cnf(cls_OrderedGroup_Odiff__minus__eq__add_0,axiom,
    ( c_minus(X2,c_uminus(X3,X1),X1) = c_plus(X2,X3,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__minus__eq__add_0) ).

cnf(cls_OrderedGroup_Ocompare__rls__2_0,axiom,
    ( c_plus(X2,c_minus(X3,X4,X1),X1) = c_minus(c_plus(X2,X3,X1),X4,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__2_0) ).

cnf(cls_OrderedGroup_Oadd__le__cancel__right_0,axiom,
    ( c_lessequals(X2,X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(c_plus(X2,X3,X1),c_plus(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__right_0) ).

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/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).

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/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

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/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_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/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).

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/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).

cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
    ( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_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/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__minus__cancel_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/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonpos_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/sandbox2/benchmark/theBenchmark.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/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).

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/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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

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/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).

cnf(c_0_26,plain,
    ( c_minus(X2,X2,X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Odiff__self_0]) ).

cnf(c_0_27,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_4]) ).

cnf(c_0_28,plain,
    ( c_plus(c_0,X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0]) ).

cnf(c_0_29,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_23]) ).

cnf(c_0_30,plain,
    ( c_minus(X2,X2,X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_26 ).

cnf(c_0_31,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_27 ).

cnf(c_0_32,plain,
    ( c_plus(c_0,X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_28 ).

cnf(c_0_33,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_29 ).

cnf(c_0_34,plain,
    ( c_uminus(c_minus(X2,X3,X1),X1) = c_minus(X3,X2,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Ominus__diff__eq_0]) ).

cnf(c_0_35,plain,
    ( c_minus(X1,X1,X2) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    tfree_tcs ).

cnf(c_0_37,plain,
    ( c_plus(c_minus(X2,X3,X1),X4,X1) = c_minus(c_plus(X2,X4,X1),X3,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Ocompare__rls__3_0]) ).

cnf(c_0_38,plain,
    ( c_plus(c_0,X1,X2) = X1
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_39,plain,
    ( c_minus(X2,c_uminus(X3,X1),X1) = c_plus(X2,X3,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Odiff__minus__eq__add_0]) ).

cnf(c_0_40,plain,
    ( c_uminus(c_minus(X2,X3,X1),X1) = c_minus(X3,X2,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_34 ).

cnf(c_0_41,negated_conjecture,
    c_minus(X1,X1,t_b) = c_0,
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_42,plain,
    ( c_plus(c_minus(X2,X3,X1),X4,X1) = c_minus(c_plus(X2,X4,X1),X3,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_37 ).

cnf(c_0_43,negated_conjecture,
    c_plus(c_0,X1,t_b) = X1,
    inference(spm,[status(thm)],[c_0_38,c_0_36]) ).

cnf(c_0_44,plain,
    ( c_minus(X2,c_uminus(X3,X1),X1) = c_plus(X2,X3,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_39 ).

cnf(c_0_45,negated_conjecture,
    ( c_uminus(c_0,t_b) = c_0
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_41]) ).

cnf(c_0_46,negated_conjecture,
    ( c_minus(c_plus(X1,X2,t_b),X1,t_b) = X2
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_41]),c_0_43]) ).

cnf(c_0_47,negated_conjecture,
    ( c_plus(X1,c_0,t_b) = c_minus(X1,c_0,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_48,negated_conjecture,
    ( c_minus(X1,c_0,t_b) = X1
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_46,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_47,c_0_31]),c_0_36])]) ).

cnf(c_0_50,negated_conjecture,
    c_minus(X1,c_0,t_b) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_31]),c_0_36])]) ).

cnf(c_0_51,plain,
    ( c_uminus(c_plus(X1,X2,X3),X3) = c_minus(c_uminus(X2,X3),X1,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(spm,[status(thm)],[c_0_40,c_0_44]) ).

cnf(c_0_52,negated_conjecture,
    c_plus(X1,c_0,t_b) = X1,
    inference(rw,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_53,plain,
    ( c_plus(X2,c_minus(X3,X4,X1),X1) = c_minus(c_plus(X2,X3,X1),X4,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Ocompare__rls__2_0]) ).

cnf(c_0_54,negated_conjecture,
    ( c_minus(c_uminus(c_0,t_b),X1,t_b) = c_uminus(X1,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_55,plain,
    ( c_plus(X2,c_minus(X3,X4,X1),X1) = c_minus(c_plus(X2,X3,X1),X4,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_53 ).

cnf(c_0_56,negated_conjecture,
    ( c_uminus(c_uminus(c_0,t_b),t_b) = c_0
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_41,c_0_54]) ).

cnf(c_0_57,negated_conjecture,
    ( c_minus(c_plus(X1,X2,t_b),X2,t_b) = X1
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_41]),c_0_49]),c_0_50]) ).

cnf(c_0_58,negated_conjecture,
    ( c_plus(X1,c_uminus(c_0,t_b),t_b) = X1
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_56]),c_0_50]) ).

cnf(c_0_59,negated_conjecture,
    ( c_plus(c_uminus(X1,t_b),X1,t_b) = c_0
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_41,c_0_44]) ).

cnf(c_0_60,plain,
    ( c_lessequals(X2,X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(c_plus(X2,X3,X1),c_plus(X4,X3,X1),X1) ),
    inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oadd__le__cancel__right_0]) ).

cnf(c_0_61,negated_conjecture,
    ( c_minus(X1,c_uminus(c_0,t_b),t_b) = X1
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_62,negated_conjecture,
    ( c_uminus(X1,t_b) = c_minus(c_0,X1,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_40,c_0_50]) ).

cnf(c_0_63,negated_conjecture,
    ( c_minus(c_0,c_uminus(X1,t_b),t_b) = X1
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_46,c_0_59]) ).

cnf(c_0_64,plain,
    ( c_lessequals(X2,X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(c_plus(X2,X3,X1),c_plus(X4,X3,X1),X1) ),
    c_0_60 ).

cnf(c_0_65,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(fof_simplification,[status(thm)],[clsrel_OrderedGroup_Olordered__ab__group__abs_6]) ).

cnf(c_0_66,negated_conjecture,
    ( c_plus(c_uminus(c_0,t_b),X1,t_b) = X1
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_46,c_0_61]) ).

cnf(c_0_67,negated_conjecture,
    ( c_plus(c_minus(c_0,X1,t_b),X1,t_b) = c_0
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_59,c_0_62]) ).

cnf(c_0_68,negated_conjecture,
    ( c_minus(c_0,c_minus(c_0,X1,t_b),t_b) = X1
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_63,c_0_62]) ).

cnf(c_0_69,negated_conjecture,
    ( c_lessequals(X1,c_0,t_b)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
    | ~ c_lessequals(c_plus(X1,X2,t_b),X2,t_b) ),
    inference(spm,[status(thm)],[c_0_64,c_0_43]) ).

cnf(c_0_70,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_65 ).

cnf(c_0_71,negated_conjecture,
    ( c_lessequals(c_uminus(c_0,t_b),X1,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
    | ~ c_lessequals(X2,c_plus(X1,X2,t_b),t_b) ),
    inference(spm,[status(thm)],[c_0_64,c_0_66]) ).

cnf(c_0_72,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_lessequals(c_minus(c_plus(X1,X4,X3),X5,X3),c_plus(X2,c_minus(X4,X5,X3),X3),X3) ),
    inference(spm,[status(thm)],[c_0_64,c_0_55]) ).

cnf(c_0_73,negated_conjecture,
    ( c_plus(X1,c_minus(c_0,X1,t_b),t_b) = c_0
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_74,negated_conjecture,
    ( c_lessequals(X1,c_0,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_69,c_0_70]) ).

cnf(c_0_75,negated_conjecture,
    ( c_lessequals(c_uminus(c_0,t_b),X1,t_b)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(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_71,c_0_31]),c_0_36])]) ).

cnf(c_0_76,plain,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50]) ).

cnf(c_0_77,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
    | ~ c_lessequals(c_minus(X1,X2,t_b),c_0,t_b) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_49]),c_0_50]) ).

cnf(c_0_78,negated_conjecture,
    ( c_lessequals(X1,c_0,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(c_minus(c_plus(X1,X2,t_b),X3,t_b),c_minus(X2,X3,t_b),t_b) ),
    inference(spm,[status(thm)],[c_0_74,c_0_55]) ).

cnf(c_0_79,negated_conjecture,
    ( c_lessequals(c_uminus(c_0,t_b),X1,t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(X2,c_plus(X1,X2,t_b),t_b) ),
    inference(spm,[status(thm)],[c_0_75,c_0_70]) ).

cnf(c_0_80,plain,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_76 ).

cnf(c_0_81,plain,
    ( c_less(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(fof_simplification,[status(thm)],[cls_Orderings_Olinorder__not__le_0]) ).

cnf(c_0_82,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_33]) ).

cnf(c_0_83,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
    | ~ c_lessequals(c_minus(X1,X2,t_b),c_0,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_31]),c_0_36])]) ).

cnf(c_0_84,negated_conjecture,
    ( c_lessequals(X1,c_0,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(X2,c_minus(X2,X1,t_b),t_b) ),
    inference(spm,[status(thm)],[c_0_78,c_0_46]) ).

cnf(c_0_85,negated_conjecture,
    ( c_lessequals(X1,c_uminus(c_0,t_b),t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
    | ~ c_lessequals(c_plus(X1,X2,t_b),X2,t_b) ),
    inference(spm,[status(thm)],[c_0_64,c_0_66]) ).

cnf(c_0_86,plain,
    ( c_lessequals(X4,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X2,X1) ),
    inference(fof_simplification,[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0]) ).

cnf(c_0_87,negated_conjecture,
    ( c_lessequals(c_uminus(c_0,t_b),X1,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_79,c_0_80]),c_0_36])]) ).

cnf(c_0_88,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    inference(fof_simplification,[status(thm)],[clsrel_LOrder_Ojoin__semilorder_1]) ).

cnf(c_0_89,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_35]) ).

cnf(c_0_90,plain,
    ( c_less(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_81 ).

cnf(c_0_91,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_82 ).

cnf(c_0_92,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(c_minus(X1,X2,t_b),c_0,t_b) ),
    inference(spm,[status(thm)],[c_0_83,c_0_70]) ).

cnf(c_0_93,negated_conjecture,
    ( c_minus(X1,c_plus(X1,X2,t_b),t_b) = c_uminus(X2,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_40,c_0_46]) ).

cnf(c_0_94,negated_conjecture,
    ( c_lessequals(c_uminus(X1,t_b),c_0,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(X2,c_plus(X2,X1,t_b),t_b) ),
    inference(spm,[status(thm)],[c_0_84,c_0_44]) ).

cnf(c_0_95,negated_conjecture,
    ( c_lessequals(X1,c_uminus(c_0,t_b),t_b)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(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_85,c_0_31]),c_0_36])]) ).

cnf(c_0_96,plain,
    ( c_lessequals(X4,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X2,X1) ),
    c_0_86 ).

cnf(c_0_97,negated_conjecture,
    ( c_lessequals(c_uminus(c_0,t_b),X1,t_b)
    | ~ c_lessequals(c_0,X1,t_b) ),
    inference(spm,[status(thm)],[c_0_87,c_0_52]) ).

cnf(c_0_98,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    c_0_88 ).

cnf(c_0_99,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_89 ).

cnf(c_0_100,plain,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_less(X2,X3,X1) ),
    inference(fof_simplification,[status(thm)],[cls_Orderings_Oorder__less__imp__le_0]) ).

cnf(c_0_101,plain,
    ( c_less(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_102,negated_conjecture,
    ( c_lessequals(X1,c_plus(X1,X2,t_b),t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(c_uminus(X2,t_b),c_0,t_b) ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_103,negated_conjecture,
    ( c_lessequals(c_uminus(X1,t_b),c_0,t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(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_94,c_0_31]),c_0_36])]) ).

cnf(c_0_104,negated_conjecture,
    ( c_lessequals(X1,c_uminus(c_0,t_b),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_95,c_0_70]) ).

cnf(c_0_105,negated_conjecture,
    ( c_lessequals(c_uminus(c_0,t_b),X1,t_b)
    | ~ class_Orderings_Oorder(t_b)
    | ~ c_lessequals(c_0,X2,t_b)
    | ~ c_lessequals(X2,X1,t_b) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_106,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_107,plain,
    ( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oabs__ge__zero_0]) ).

cnf(c_0_108,plain,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_less(X2,X3,X1) ),
    c_0_100 ).

cnf(c_0_109,negated_conjecture,
    ( c_less(X1,X2,t_b)
    | c_lessequals(X2,X1,t_b) ),
    inference(spm,[status(thm)],[c_0_101,c_0_36]) ).

cnf(c_0_110,negated_conjecture,
    ( c_lessequals(X1,c_plus(X1,X2,t_b),t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(c_uminus(X2,t_b),c_0,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_31]),c_0_36])]) ).

cnf(c_0_111,negated_conjecture,
    ( c_lessequals(c_uminus(X1,t_b),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_103,c_0_80]),c_0_36])]) ).

cnf(c_0_112,negated_conjecture,
    ( c_lessequals(X1,c_uminus(c_0,t_b),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_104,c_0_80]),c_0_36])]) ).

cnf(c_0_113,negated_conjecture,
    ( c_lessequals(c_uminus(c_0,t_b),X1,t_b)
    | ~ c_lessequals(c_0,X2,t_b)
    | ~ c_lessequals(X2,X1,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_36])]) ).

cnf(c_0_114,plain,
    ( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_107 ).

cnf(c_0_115,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | c_lessequals(X2,X1,t_b)
    | ~ class_Orderings_Oorder(t_b) ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_116,negated_conjecture,
    ( c_lessequals(X1,c_plus(X1,X2,t_b),t_b)
    | ~ c_lessequals(c_uminus(X2,t_b),c_0,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_80]),c_0_36])]) ).

cnf(c_0_117,negated_conjecture,
    ( c_lessequals(c_uminus(X1,t_b),c_0,t_b)
    | ~ c_lessequals(c_0,X1,t_b) ),
    inference(spm,[status(thm)],[c_0_111,c_0_43]) ).

cnf(c_0_118,negated_conjecture,
    ( c_minus(c_plus(c_plus(X1,X2,t_b),X3,t_b),X1,t_b) = c_plus(X2,X3,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_42,c_0_46]) ).

cnf(c_0_119,negated_conjecture,
    ( c_lessequals(X1,c_uminus(c_0,t_b),t_b)
    | ~ c_lessequals(X1,c_0,t_b) ),
    inference(spm,[status(thm)],[c_0_112,c_0_52]) ).

cnf(c_0_120,negated_conjecture,
    ( c_lessequals(c_uminus(c_0,t_b),X1,t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(c_HOL_Oabs(X2,t_b),X1,t_b) ),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_121,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_115,c_0_106]),c_0_36])]) ).

cnf(c_0_122,plain,
    ( c_HOL_Oabs(c_uminus(X2,X1),X1) = c_HOL_Oabs(X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oabs__minus__cancel_0]) ).

cnf(c_0_123,plain,
    ( c_HOL_Oabs(X2,X1) = c_uminus(X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oabs__of__nonpos_0]) ).

cnf(c_0_124,negated_conjecture,
    ( c_lessequals(X1,c_plus(X1,X2,t_b),t_b)
    | ~ c_lessequals(c_0,X2,t_b) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_125,plain,
    ( c_plus(X1,c_minus(X2,X3,X4),X4) = c_minus(X1,c_minus(X3,X2,X4),X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(spm,[status(thm)],[c_0_44,c_0_40]) ).

cnf(c_0_126,negated_conjecture,
    ( c_plus(X1,X2,t_b) = c_plus(X2,X1,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_57,c_0_118]) ).

cnf(c_0_127,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ class_Orderings_Oorder(t_b)
    | ~ c_lessequals(c_uminus(c_0,t_b),X2,t_b)
    | ~ c_lessequals(X1,c_0,t_b) ),
    inference(spm,[status(thm)],[c_0_96,c_0_119]) ).

cnf(c_0_128,negated_conjecture,
    ( c_lessequals(c_uminus(c_0,t_b),X1,t_b)
    | ~ c_lessequals(c_HOL_Oabs(X2,t_b),X1,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_80]),c_0_36])]) ).

cnf(c_0_129,negated_conjecture,
    c_lessequals(X1,X1,t_b),
    inference(ef,[status(thm)],[c_0_121]) ).

cnf(c_0_130,plain,
    ( c_HOL_Oabs(c_uminus(X2,X1),X1) = c_HOL_Oabs(X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_122 ).

cnf(c_0_131,plain,
    ( c_HOL_Oabs(X2,X1) = c_uminus(X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    c_0_123 ).

cnf(c_0_132,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ class_Orderings_Oorder(t_b)
    | ~ c_lessequals(c_plus(X1,X3,t_b),X2,t_b)
    | ~ c_lessequals(c_0,X3,t_b) ),
    inference(spm,[status(thm)],[c_0_96,c_0_124]) ).

cnf(c_0_133,negated_conjecture,
    ( c_minus(c_minus(c_plus(X1,X2,t_b),X3,t_b),c_minus(X1,X3,t_b),t_b) = X2
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_46,c_0_42]) ).

cnf(c_0_134,negated_conjecture,
    ( c_minus(X1,c_minus(c_0,X2,t_b),t_b) = c_plus(X1,X2,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_125,c_0_50]) ).

cnf(c_0_135,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_126,c_0_31]),c_0_36])]) ).

cnf(c_0_136,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ c_lessequals(c_uminus(c_0,t_b),X2,t_b)
    | ~ c_lessequals(X1,c_0,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_106]),c_0_36])]) ).

cnf(c_0_137,negated_conjecture,
    c_lessequals(c_uminus(c_0,t_b),c_HOL_Oabs(X1,t_b),t_b),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_138,plain,
    ( c_HOL_Oabs(c_HOL_Oabs(X1,X2),X2) = c_HOL_Oabs(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
    | ~ c_lessequals(X1,c_0,X2) ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_139,plain,
    ( c_HOL_Oabs(c_minus(X1,X2,X3),X3) = c_minus(X2,X1,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X3)
    | ~ c_lessequals(c_minus(X1,X2,X3),c_0,X3) ),
    inference(spm,[status(thm)],[c_0_131,c_0_40]) ).

cnf(c_0_140,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ c_lessequals(c_plus(X1,X3,t_b),X2,t_b)
    | ~ c_lessequals(c_0,X3,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_106]),c_0_36])]) ).

cnf(c_0_141,negated_conjecture,
    ( c_plus(X1,c_minus(X2,X1,t_b),t_b) = X2
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_43]),c_0_135]) ).

cnf(c_0_142,negated_conjecture,
    ( c_lessequals(X1,c_HOL_Oabs(X2,t_b),t_b)
    | ~ c_lessequals(X1,c_0,t_b) ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_143,plain,
    ( c_HOL_Oabs(c_minus(X1,X2,X3),X3) = c_minus(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X3)
    | ~ c_lessequals(c_minus(X2,X1,X3),c_0,X3) ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_144,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ c_lessequals(c_0,c_minus(X3,X1,t_b),t_b)
    | ~ c_lessequals(X3,X2,t_b) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_145,negated_conjecture,
    ( c_plus(X1,c_uminus(X1,t_b),t_b) = c_0
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_44]),c_0_43]) ).

cnf(c_0_146,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ class_Orderings_Oorder(t_b)
    | ~ c_lessequals(c_HOL_Oabs(X3,t_b),X2,t_b)
    | ~ c_lessequals(X1,c_0,t_b) ),
    inference(spm,[status(thm)],[c_0_96,c_0_142]) ).

cnf(c_0_147,negated_conjecture,
    ( c_HOL_Oabs(X1,t_b) = X1
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(c_uminus(X1,t_b),c_0,t_b) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_63]),c_0_50]) ).

cnf(c_0_148,negated_conjecture,
    ( c_lessequals(c_uminus(X1,t_b),X2,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
    | ~ c_lessequals(c_0,c_plus(X2,X1,t_b),t_b) ),
    inference(spm,[status(thm)],[c_0_64,c_0_59]) ).

cnf(c_0_149,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ c_lessequals(c_0,c_minus(X3,X1,t_b),t_b)
    | ~ c_lessequals(X3,X2,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_31]),c_0_36])]) ).

cnf(c_0_150,negated_conjecture,
    ( c_minus(c_uminus(c_uminus(X1,t_b),t_b),X1,t_b) = c_uminus(c_0,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(spm,[status(thm)],[c_0_51,c_0_145]) ).

cnf(c_0_151,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_112,c_0_43]),c_0_129])]) ).

cnf(c_0_152,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | c_lessequals(X2,X3,t_b)
    | ~ class_Orderings_Oorder(t_b)
    | ~ c_lessequals(X1,X3,t_b) ),
    inference(spm,[status(thm)],[c_0_96,c_0_121]) ).

cnf(c_0_153,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ c_lessequals(c_HOL_Oabs(X3,t_b),X2,t_b)
    | ~ c_lessequals(X1,c_0,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_106]),c_0_36])]) ).

cnf(c_0_154,negated_conjecture,
    ( c_HOL_Oabs(X1,t_b) = X1
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(c_0,X1,t_b) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_43]),c_0_70]) ).

cnf(c_0_155,negated_conjecture,
    ( c_lessequals(c_0,X1,t_b)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
    | ~ c_lessequals(X2,c_plus(X1,X2,t_b),t_b) ),
    inference(spm,[status(thm)],[c_0_64,c_0_43]) ).

cnf(c_0_156,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ c_lessequals(c_uminus(c_uminus(X1,t_b),t_b),X2,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151])]) ).

cnf(c_0_157,negated_conjecture,
    ( c_HOL_Oabs(X1,t_b) = c_minus(c_0,X1,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(X1,c_0,t_b) ),
    inference(spm,[status(thm)],[c_0_139,c_0_50]) ).

cnf(c_0_158,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | c_lessequals(X3,X1,t_b)
    | ~ c_lessequals(X3,X2,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_106]),c_0_36])]) ).

cnf(c_0_159,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(X1,c_0,t_b)
    | ~ c_lessequals(c_0,X3,t_b)
    | ~ c_lessequals(X3,X2,t_b) ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_160,negated_conjecture,
    ( c_lessequals(c_0,X1,t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(X2,c_plus(X1,X2,t_b),t_b) ),
    inference(spm,[status(thm)],[c_0_155,c_0_70]) ).

cnf(c_0_161,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ c_lessequals(c_minus(c_0,c_uminus(X1,t_b),t_b),X2,t_b) ),
    inference(spm,[status(thm)],[c_0_156,c_0_62]) ).

cnf(c_0_162,negated_conjecture,
    ( c_minus(c_0,c_uminus(X1,t_b),t_b) = c_HOL_Oabs(X1,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(c_uminus(X1,t_b),c_0,t_b) ),
    inference(spm,[status(thm)],[c_0_130,c_0_157]) ).

cnf(c_0_163,negated_conjecture,
    ( c_lessequals(X1,c_HOL_Oabs(X2,t_b),t_b)
    | c_lessequals(c_0,X1,t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
    inference(spm,[status(thm)],[c_0_158,c_0_114]) ).

cnf(c_0_164,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(X1,c_0,t_b)
    | ~ c_lessequals(c_0,X3,t_b)
    | ~ c_lessequals(X3,X2,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_31]),c_0_36])]) ).

cnf(c_0_165,negated_conjecture,
    ( c_lessequals(c_0,c_minus(X1,X2,t_b),t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(X3,c_minus(c_plus(X1,X3,t_b),X2,t_b),t_b) ),
    inference(spm,[status(thm)],[c_0_160,c_0_42]) ).

cnf(c_0_166,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(c_uminus(X1,t_b),c_0,t_b)
    | ~ c_lessequals(c_HOL_Oabs(X1,t_b),X2,t_b) ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_167,negated_conjecture,
    ( c_lessequals(X1,c_HOL_Oabs(X2,t_b),t_b)
    | c_lessequals(c_0,X1,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_80]),c_0_36])]) ).

cnf(c_0_168,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ c_lessequals(X1,c_0,t_b)
    | ~ c_lessequals(c_0,X3,t_b)
    | ~ c_lessequals(X3,X2,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_80]),c_0_36])]) ).

cnf(c_0_169,negated_conjecture,
    ( c_lessequals(c_0,c_minus(X1,X2,t_b),t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(X2,X1,t_b) ),
    inference(spm,[status(thm)],[c_0_165,c_0_57]) ).

cnf(c_0_170,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(c_uminus(X1,t_b),c_0,t_b)
    | ~ c_lessequals(c_HOL_Oabs(X1,t_b),X2,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_31]),c_0_36])]) ).

cnf(c_0_171,negated_conjecture,
    ( c_lessequals(c_0,X1,t_b)
    | c_lessequals(X1,X2,t_b)
    | ~ class_Orderings_Oorder(t_b)
    | ~ c_lessequals(c_HOL_Oabs(X3,t_b),X2,t_b) ),
    inference(spm,[status(thm)],[c_0_96,c_0_167]) ).

cnf(c_0_172,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_173,plain,
    ( c_lessequals(c_Orderings_Omax(X4,X2,X1),X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    inference(fof_simplification,[status(thm)],[cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2]) ).

cnf(c_0_174,negated_conjecture,
    ( c_lessequals(c_0,X1,t_b)
    | ~ c_lessequals(c_0,X2,t_b)
    | ~ c_lessequals(X2,X1,t_b) ),
    inference(spm,[status(thm)],[c_0_168,c_0_129]) ).

cnf(c_0_175,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(X3,X2,t_b)
    | ~ c_lessequals(X1,X3,t_b) ),
    inference(spm,[status(thm)],[c_0_149,c_0_169]) ).

cnf(c_0_176,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ c_lessequals(c_uminus(X1,t_b),c_0,t_b)
    | ~ c_lessequals(c_HOL_Oabs(X1,t_b),X2,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_80]),c_0_36])]) ).

cnf(c_0_177,negated_conjecture,
    ( c_lessequals(c_0,X1,t_b)
    | c_lessequals(X1,X2,t_b)
    | ~ c_lessequals(c_HOL_Oabs(X3,t_b),X2,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_106]),c_0_36])]) ).

cnf(c_0_178,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_172 ).

cnf(c_0_179,plain,
    ( c_lessequals(c_Orderings_Omax(X4,X2,X1),X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    c_0_173 ).

cnf(c_0_180,negated_conjecture,
    ( c_lessequals(c_0,X1,t_b)
    | ~ c_lessequals(c_HOL_Oabs(X2,t_b),X1,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_142]),c_0_129])]) ).

cnf(c_0_181,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(X3,X2,t_b)
    | ~ c_lessequals(X1,X3,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_31]),c_0_36])]) ).

cnf(c_0_182,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ c_lessequals(c_HOL_Oabs(X1,t_b),X2,t_b) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_117]),c_0_177]) ).

cnf(c_0_183,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Ocompare__rls__8_1]) ).

cnf(c_0_184,negated_conjecture,
    ( ~ class_Orderings_Olinorder(t_b)
    | ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
    | ~ c_lessequals(c_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_178,c_0_179]) ).

cnf(c_0_185,negated_conjecture,
    c_lessequals(c_0,c_HOL_Oabs(X1,t_b),t_b),
    inference(spm,[status(thm)],[c_0_180,c_0_129]) ).

cnf(c_0_186,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ c_lessequals(X3,X2,t_b)
    | ~ c_lessequals(X1,X3,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_80]),c_0_36])]) ).

cnf(c_0_187,negated_conjecture,
    c_lessequals(X1,c_HOL_Oabs(X1,t_b),t_b),
    inference(spm,[status(thm)],[c_0_182,c_0_129]) ).

cnf(c_0_188,plain,
    ( 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) ),
    c_0_183 ).

cnf(c_0_189,negated_conjecture,
    ( ~ class_Orderings_Olinorder(t_b)
    | ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_185])]) ).

cnf(c_0_190,negated_conjecture,
    ( c_lessequals(X1,c_HOL_Oabs(X2,t_b),t_b)
    | ~ c_lessequals(X1,X2,t_b) ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_191,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_188,c_0_42]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ class_Orderings_Olinorder(t_b)
    | ~ 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) ),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_193,negated_conjecture,
    ( c_lessequals(c_minus(X1,X2,t_b),c_minus(X3,X2,t_b),t_b)
    | ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ c_lessequals(X1,X3,t_b) ),
    inference(spm,[status(thm)],[c_0_191,c_0_57]) ).

cnf(c_0_194,negated_conjecture,
    c_lessequals(v_k(X1),v_f(X1),t_b),
    cls_conjecture_1 ).

cnf(c_0_195,negated_conjecture,
    ( ~ class_Orderings_Olinorder(t_b)
    | ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194])]) ).

cnf(c_0_196,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(fof_simplification,[status(thm)],[clsrel_OrderedGroup_Olordered__ab__group__abs_1]) ).

cnf(c_0_197,negated_conjecture,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_91]),c_0_36])]) ).

cnf(c_0_198,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_196 ).

cnf(c_0_199,negated_conjecture,
    ( ~ class_OrderedGroup_Oab__group__add(t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
    inference(spm,[status(thm)],[c_0_197,c_0_198]) ).

cnf(c_0_200,negated_conjecture,
    ~ class_OrderedGroup_Olordered__ab__group__abs(t_b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_31]),c_0_36])]) ).

cnf(c_0_201,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_80]),c_0_36])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ANA022-2 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon May 20 07:55:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.51  Running first-order theorem proving
% 0.21/0.51  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/benchmark/theBenchmark.p
% 17.70/2.73  # Version: 3.1.0
% 17.70/2.73  # Preprocessing class: FSMSSMSSSSSNFFN.
% 17.70/2.73  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.70/2.73  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 17.70/2.73  # Starting new_bool_3 with 300s (1) cores
% 17.70/2.73  # Starting new_bool_1 with 300s (1) cores
% 17.70/2.73  # Starting sh5l with 300s (1) cores
% 17.70/2.73  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 5584 completed with status 0
% 17.70/2.73  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 17.70/2.73  # Preprocessing class: FSMSSMSSSSSNFFN.
% 17.70/2.73  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.70/2.73  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 17.70/2.73  # No SInE strategy applied
% 17.70/2.73  # Search class: FGUSF-FFMF32-MFFFFFNN
% 17.70/2.73  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 17.70/2.73  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 17.70/2.73  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 17.70/2.73  # Starting new_bool_3 with 136s (1) cores
% 17.70/2.73  # Starting new_bool_1 with 136s (1) cores
% 17.70/2.73  # Starting sh5l with 136s (1) cores
% 17.70/2.73  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 5590 completed with status 0
% 17.70/2.73  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 17.70/2.73  # Preprocessing class: FSMSSMSSSSSNFFN.
% 17.70/2.73  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.70/2.73  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 17.70/2.73  # No SInE strategy applied
% 17.70/2.73  # Search class: FGUSF-FFMF32-MFFFFFNN
% 17.70/2.73  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 17.70/2.73  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 17.70/2.73  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 17.70/2.73  # Preprocessing time       : 0.001 s
% 17.70/2.73  # Presaturation interreduction done
% 17.70/2.73  
% 17.70/2.73  # Proof found!
% 17.70/2.73  # SZS status Unsatisfiable
% 17.70/2.73  # SZS output start CNFRefutation
% See solution above
% 17.70/2.73  # Parsed axioms                        : 27
% 17.70/2.73  # Removed by relevancy pruning/SinE    : 0
% 17.70/2.73  # Initial clauses                      : 27
% 17.70/2.73  # Removed in clause preprocessing      : 0
% 17.70/2.73  # Initial clauses in saturation        : 27
% 17.70/2.73  # Processed clauses                    : 11119
% 17.70/2.73  # ...of these trivial                  : 124
% 17.70/2.73  # ...subsumed                          : 8712
% 17.70/2.73  # ...remaining for further processing  : 2283
% 17.70/2.73  # Other redundant clauses eliminated   : 0
% 17.70/2.73  # Clauses deleted for lack of memory   : 0
% 17.70/2.73  # Backward-subsumed                    : 829
% 17.70/2.73  # Backward-rewritten                   : 139
% 17.70/2.73  # Generated clauses                    : 194696
% 17.70/2.73  # ...of the previous two non-redundant : 179543
% 17.70/2.73  # ...aggressively subsumed             : 0
% 17.70/2.73  # Contextual simplify-reflections      : 92
% 17.70/2.73  # Paramodulations                      : 194685
% 17.70/2.73  # Factorizations                       : 11
% 17.70/2.73  # NegExts                              : 0
% 17.70/2.73  # Equation resolutions                 : 0
% 17.70/2.73  # Disequality decompositions           : 0
% 17.70/2.73  # Total rewrite steps                  : 66890
% 17.70/2.73  # ...of those cached                   : 65588
% 17.70/2.73  # Propositional unsat checks           : 0
% 17.70/2.73  #    Propositional check models        : 0
% 17.70/2.73  #    Propositional check unsatisfiable : 0
% 17.70/2.73  #    Propositional clauses             : 0
% 17.70/2.73  #    Propositional clauses after purity: 0
% 17.70/2.73  #    Propositional unsat core size     : 0
% 17.70/2.73  #    Propositional preprocessing time  : 0.000
% 17.70/2.73  #    Propositional encoding time       : 0.000
% 17.70/2.73  #    Propositional solver time         : 0.000
% 17.70/2.73  #    Success case prop preproc time    : 0.000
% 17.70/2.73  #    Success case prop encoding time   : 0.000
% 17.70/2.73  #    Success case prop solver time     : 0.000
% 17.70/2.73  # Current number of processed clauses  : 1288
% 17.70/2.73  #    Positive orientable unit clauses  : 45
% 17.70/2.73  #    Positive unorientable unit clauses: 1
% 17.70/2.73  #    Negative unit clauses             : 5
% 17.70/2.73  #    Non-unit-clauses                  : 1237
% 17.70/2.73  # Current number of unprocessed clauses: 167609
% 17.70/2.73  # ...number of literals in the above   : 645085
% 17.70/2.73  # Current number of archived formulas  : 0
% 17.70/2.73  # Current number of archived clauses   : 995
% 17.70/2.73  # Clause-clause subsumption calls (NU) : 635963
% 17.70/2.73  # Rec. Clause-clause subsumption calls : 394734
% 17.70/2.73  # Non-unit clause-clause subsumptions  : 9549
% 17.70/2.73  # Unit Clause-clause subsumption calls : 3261
% 17.70/2.73  # Rewrite failures with RHS unbound    : 0
% 17.70/2.73  # BW rewrite match attempts            : 229
% 17.70/2.73  # BW rewrite match successes           : 82
% 17.70/2.73  # Condensation attempts                : 0
% 17.70/2.73  # Condensation successes               : 0
% 17.70/2.73  # Termbank termtop insertions          : 4408048
% 17.70/2.73  # Search garbage collected termcells   : 56
% 17.70/2.73  
% 17.70/2.73  # -------------------------------------------------
% 17.70/2.73  # User time                : 2.044 s
% 17.70/2.73  # System time              : 0.107 s
% 17.70/2.73  # Total time               : 2.151 s
% 17.70/2.73  # Maximum resident set size: 1648 pages
% 17.70/2.73  
% 17.70/2.73  # -------------------------------------------------
% 17.70/2.73  # User time                : 10.620 s
% 17.70/2.73  # System time              : 0.194 s
% 17.70/2.73  # Total time               : 10.813 s
% 17.70/2.73  # Maximum resident set size: 1752 pages
% 17.70/2.73  % E---3.1 exiting
% 17.70/2.73  % E exiting
%------------------------------------------------------------------------------