%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP015^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:07:47 AM UTC 2026
% Result : Theorem 0.65s 0.48s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 16
% Syntax : Number of formulae : 93 ( 34 unt; 0 typ; 7 def)
% Number of atoms : 400 ( 154 equ; 0 cnn)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 1248 ( 102 ~; 77 |; 30 &;1025 @)
% ( 11 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 120 ( 117 usr; 41 con; 0-4 aty)
% Number of variables : 76 ( 0 sgn 75 !; 1 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
u: $tType ).
thf(type_def_6,type,
d: $tType ).
thf(type_def_7,type,
du: $tType ).
thf(type_def_8,type,
mono_2Etyop_2Einteger_2Eint: $tType ).
thf(type_def_9,type,
mono_2Etyop_2Enum_2Enum: $tType ).
thf(type_def_10,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
tyop_2Ebool_2Eitself: d > d ).
thf(func_def_1,type,
tyop_2Efcp_2Ecart: d > d > d ).
thf(func_def_2,type,
tyop_2Einteger_2Eint: d ).
thf(func_def_3,type,
tyop_2Emin_2Ebool: d ).
thf(func_def_4,type,
tyop_2Emin_2Efun: d > d > d ).
thf(func_def_5,type,
tyop_2Enum_2Enum: d ).
thf(func_def_6,type,
s: d > u > du ).
thf(func_def_7,type,
app_2E2: du > du > u ).
thf(func_def_8,type,
combin_i_2E0: u ).
thf(func_def_9,type,
combin_k_2E0: u ).
thf(func_def_10,type,
combin_s_2E0: u ).
thf(func_def_11,type,
c_2Ebool_2E_21_2E0: u ).
thf(func_def_12,type,
c_2Ebool_2E_21_2E1: du > u ).
thf(func_def_13,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(func_def_14,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(func_def_15,type,
c_2Enum_2E0_2E0: u ).
thf(func_def_16,type,
c_2Eprim__rec_2E_3C_2E0: u ).
thf(func_def_17,type,
c_2Eprim__rec_2E_3C_2E2: du > du > u ).
thf(func_def_18,type,
c_2Emin_2E_3D_2E0: u ).
thf(func_def_19,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(func_def_20,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(func_def_21,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(func_def_22,type,
c_2Ebool_2E_3F_2E0: u ).
thf(func_def_23,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(func_def_24,type,
c_2Ebool_2ECOND_2E0: u ).
thf(func_def_25,type,
c_2Ebool_2ECOND_2E3: du > du > du > u ).
thf(func_def_26,type,
c_2Ebool_2EF_2E0: u ).
thf(func_def_27,type,
c_2Earithmetic_2EMOD_2E0: u ).
thf(func_def_28,type,
c_2Earithmetic_2EMOD_2E2: du > du > u ).
thf(func_def_29,type,
c_2Einteger_2ENum_2E0: u ).
thf(func_def_30,type,
c_2Einteger_2ENum_2E1: du > u ).
thf(func_def_31,type,
c_2Ebool_2ET_2E0: u ).
thf(func_def_32,type,
c_2Ebool_2E_5C_2F_2E0: u ).
thf(func_def_33,type,
c_2Ebool_2E_5C_2F_2E2: du > du > u ).
thf(func_def_34,type,
c_2Ewords_2Edimword_2E0: u ).
thf(func_def_35,type,
c_2Ewords_2Edimword_2E1: du > u ).
thf(func_def_36,type,
c_2Einteger__word_2Ei2w_2E0: u ).
thf(func_def_37,type,
c_2Einteger__word_2Ei2w_2E1: du > u ).
thf(func_def_38,type,
c_2Einteger_2Eint__lt_2E0: u ).
thf(func_def_39,type,
c_2Einteger_2Eint__lt_2E2: du > du > u ).
thf(func_def_40,type,
c_2Einteger_2Eint__neg_2E0: u ).
thf(func_def_41,type,
c_2Einteger_2Eint__neg_2E1: du > u ).
thf(func_def_42,type,
c_2Einteger_2Eint__of__num_2E0: u ).
thf(func_def_43,type,
c_2Einteger_2Eint__of__num_2E1: du > u ).
thf(func_def_44,type,
c_2Ewords_2En2w_2E0: u ).
thf(func_def_45,type,
c_2Ewords_2En2w_2E1: du > u ).
thf(func_def_46,type,
c_2Ebool_2Ethe__value_2E0: u ).
thf(func_def_47,type,
c_2Ewords_2Eword__2comp_2E0: u ).
thf(func_def_48,type,
c_2Ewords_2Eword__2comp_2E1: du > u ).
thf(func_def_49,type,
c_2Ebool_2E_7E_2E0: u ).
thf(func_def_50,type,
c_2Ebool_2E_7E_2E1: du > u ).
thf(func_def_51,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
thf(func_def_52,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
thf(func_def_53,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ).
thf(func_def_54,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).
thf(func_def_55,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(func_def_56,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum ).
thf(func_def_57,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_58,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_59,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_60,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint ).
thf(func_def_61,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_62,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_63,type,
mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).
thf(func_def_64,type,
mono_2Ec_2Eprim__rec_2E_3C: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_65,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_66,type,
mono_2Ec_2Ebool_2EF: $o ).
thf(func_def_67,type,
mono_2Ec_2Earithmetic_2EMOD: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_68,type,
mono_2Ec_2Einteger_2ENum: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum ).
thf(func_def_69,type,
mono_2Ec_2Ebool_2ET: $o ).
thf(func_def_70,type,
mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_71,type,
mono_2Ec_2Einteger_2Eint__lt: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).
thf(func_def_72,type,
mono_2Ec_2Einteger_2Eint__neg: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(func_def_73,type,
mono_2Ec_2Einteger_2Eint__of__num: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint ).
thf(func_def_74,type,
mono_2Ec_2Ebool_2E_7E: $o > $o ).
thf(func_def_75,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(func_def_76,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
thf(func_def_77,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
thf(func_def_78,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Einteger_2Eint > $o ) > u ).
thf(func_def_79,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ) > u ).
thf(func_def_80,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(func_def_81,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum ) > u ).
thf(func_def_82,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(func_def_83,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(func_def_84,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(func_def_85,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(func_def_86,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(func_def_87,type,
i_mono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > u ).
thf(func_def_88,type,
i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
thf(func_def_89,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(func_def_90,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
thf(func_def_91,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
thf(func_def_92,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Einteger_2Eint > $o ).
thf(func_def_93,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).
thf(func_def_94,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(func_def_95,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum ).
thf(func_def_96,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_97,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_98,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_99,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint ).
thf(func_def_100,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_101,type,
j_mono_2Etyop_2Einteger_2Eint: du > mono_2Etyop_2Einteger_2Eint ).
thf(func_def_102,type,
j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
thf(func_def_104,type,
vNOT: $o > $o ).
thf(func_def_107,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_108,type,
sK0: u > d > u ).
thf(func_def_109,type,
sK1: d ).
thf(func_def_110,type,
sK2: u > u > d > d > u ).
thf(func_def_111,type,
sK3: d > u > u ).
thf(f73,axiom,
! [X0: $o] :
( mono_2Ec_2Ebool_2EF
=> X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EFALSITY) ).
thf(f78,axiom,
! [X0: d] :
( ! [X2: u,X1: u] :
( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X0 @ X1 ) @ ( s @ X0 @ X2 ) ) )
= ( s @ X0 @ X1 ) )
& ! [X3: u,X4: u] :
( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X0 @ X3 ) @ ( s @ X0 @ X4 ) ) )
= ( s @ X0 @ X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2Ebool__case__thm) ).
thf(f79,axiom,
( ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
= ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__NEG__0) ).
thf(f80,axiom,
! [X1: mono_2Etyop_2Enum_2Enum,X0: mono_2Etyop_2Enum_2Enum] :
( ( ( ( X1 != mono_2Ec_2Enum_2E0 )
| ( X0 != mono_2Ec_2Enum_2E0 ) )
<=> ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) )
& ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) )
= ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1 ) )
& ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) )
= ( mono_2Ec_2Eprim__rec_2E_3C @ X1 @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__LT__CALCULATE) ).
thf(f81,axiom,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Einteger_2ENum @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) )
= X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2ENUM__OF__INT) ).
thf(f82,axiom,
! [X0: d,X1: mono_2Etyop_2Einteger_2Eint] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ X1 ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Einteger_2Eint__lt @ X1 @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Einteger_2ENum @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) ) ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Einteger_2ENum @ X1 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger__word_2Ei2w__def) ).
thf(f83,axiom,
! [X0: mono_2Etyop_2Enum_2Enum] :
~ ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ mono_2Ec_2Enum_2E0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eprim__rec_2ENOT__LESS__0) ).
thf(f85,axiom,
! [X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__NEG__0) ).
thf(f86,conjecture,
! [X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger__word_2Ei2w__0) ).
thf(f87,negated_conjecture,
~ ! [X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f86]) ).
thf(f104,plain,
! [X0: $o] :
( mono_2Ec_2Ebool_2EF
=> X0 ),
inference(rectify,[],[f73]) ).
thf(f105,plain,
! [X0: $o] :
( ( mono_2Ec_2Ebool_2EF = $true )
=> ( $true = X0 ) ),
inference(fool_elimination,[],[f104]) ).
thf(f106,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( ( ( mono_2Ec_2Enum_2E0 != X0 )
| ( mono_2Ec_2Enum_2E0 != X1 ) )
<=> ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) )
& ( mono_2Ec_2Ebool_2EF
= ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) ) )
& ( ( mono_2Ec_2Eprim__rec_2E_3C @ X1 @ X0 )
= ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) )
& ( ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1 )
= ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) ) ) ),
inference(rectify,[],[f80]) ).
thf(f107,plain,
! [X1: mono_2Etyop_2Enum_2Enum,X0: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Ebool_2EF = $true )
<=> ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) )
= $true ) )
& ( ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) )
= $true )
<=> ( ( ( mono_2Ec_2Enum_2E0 != X1 )
= $true )
| ( $true
= ( mono_2Ec_2Enum_2E0 != X0 ) ) ) )
& ( ( mono_2Ec_2Eprim__rec_2E_3C @ X1 @ X0 )
= ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) )
& ( ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1 )
= ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) ) ) ),
inference(fool_elimination,[],[f106]) ).
thf(f118,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
~ ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ mono_2Ec_2Enum_2E0 ),
inference(rectify,[],[f83]) ).
thf(f119,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ~ ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ mono_2Ec_2Enum_2E0 ) )
= $true ),
inference(fool_elimination,[],[f118]) ).
thf(f127,plain,
! [X0: d] :
( ! [X2: u,X1: u] :
( ( s @ X0 @ X2 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X0 @ X2 ) @ ( s @ X0 @ X1 ) ) ) )
& ! [X3: u,X4: u] :
( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X0 @ X3 ) @ ( s @ X0 @ X4 ) ) )
= ( s @ X0 @ X4 ) ) ),
inference(rectify,[],[f78]) ).
thf(f144,plain,
! [X0: $o] :
( ( $true = X0 )
| ( mono_2Ec_2Ebool_2EF != $true ) ),
inference(ennf_transformation,[],[f105]) ).
thf(f148,plain,
? [X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ),
inference(ennf_transformation,[],[f87]) ).
thf(f157,plain,
! [X0: d] :
( ! [X1: u,X2: u] :
( ( s @ X0 @ X1 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X0 @ X1 ) @ ( s @ X0 @ X2 ) ) ) )
& ! [X3: u,X4: u] :
( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X0 @ X3 ) @ ( s @ X0 @ X4 ) ) )
= ( s @ X0 @ X4 ) ) ),
inference(rectify,[],[f127]) ).
thf(f164,plain,
! [X1: mono_2Etyop_2Enum_2Enum,X0: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Ebool_2EF = $true )
| ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) )
!= $true ) )
& ( ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) )
= $true )
| ( mono_2Ec_2Ebool_2EF != $true ) )
& ( ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) )
= $true )
| ( ( ( mono_2Ec_2Enum_2E0 != X1 )
!= $true )
& ( $true
!= ( mono_2Ec_2Enum_2E0 != X0 ) ) ) )
& ( ( ( mono_2Ec_2Enum_2E0 != X1 )
= $true )
| ( $true
= ( mono_2Ec_2Enum_2E0 != X0 ) )
| ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) )
!= $true ) )
& ( ( mono_2Ec_2Eprim__rec_2E_3C @ X1 @ X0 )
= ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) )
& ( ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1 )
= ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) ) ) ),
inference(nnf_transformation,[],[f107]) ).
thf(f165,plain,
! [X1: mono_2Etyop_2Enum_2Enum,X0: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Ebool_2EF = $true )
| ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) )
!= $true ) )
& ( ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) )
= $true )
| ( mono_2Ec_2Ebool_2EF != $true ) )
& ( ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) )
= $true )
| ( ( ( mono_2Ec_2Enum_2E0 != X1 )
!= $true )
& ( $true
!= ( mono_2Ec_2Enum_2E0 != X0 ) ) ) )
& ( ( ( mono_2Ec_2Enum_2E0 != X1 )
= $true )
| ( $true
= ( mono_2Ec_2Enum_2E0 != X0 ) )
| ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) )
!= $true ) )
& ( ( mono_2Ec_2Eprim__rec_2E_3C @ X1 @ X0 )
= ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) )
& ( ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1 )
= ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) ) ) ),
inference(flattening,[],[f164]) ).
thf(f166,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Ebool_2EF = $true )
| ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) )
!= $true ) )
& ( ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) )
= $true )
| ( mono_2Ec_2Ebool_2EF != $true ) )
& ( ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) )
= $true )
| ( ( $true
!= ( mono_2Ec_2Enum_2E0 != X0 ) )
& ( ( mono_2Ec_2Enum_2E0 != X1 )
!= $true ) ) )
& ( ( $true
= ( mono_2Ec_2Enum_2E0 != X0 ) )
| ( ( mono_2Ec_2Enum_2E0 != X1 )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) )
!= $true ) )
& ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) )
= ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1 ) )
& ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) )
= ( mono_2Ec_2Eprim__rec_2E_3C @ X1 @ X0 ) ) ),
inference(rectify,[],[f165]) ).
thf(f177,plain,
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f148]) ).
thf(f206,plain,
! [X3: u,X0: d,X4: u] :
( ( s @ X0 @ X4 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X0 @ X3 ) @ ( s @ X0 @ X4 ) ) ) ),
inference(cnf_transformation,[],[f157]) ).
thf(f219,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) )
= ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1 ) ),
inference(cnf_transformation,[],[f166]) ).
thf(f220,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) )
!= $true )
| ( $true
= ( mono_2Ec_2Enum_2E0 != X0 ) )
| ( ( mono_2Ec_2Enum_2E0 != X1 )
= $true ) ),
inference(cnf_transformation,[],[f166]) ).
thf(f232,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ~ ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ mono_2Ec_2Enum_2E0 ) )
= $true ),
inference(cnf_transformation,[],[f119]) ).
thf(f250,plain,
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ),
inference(cnf_transformation,[],[f177]) ).
thf(f253,plain,
! [X0: $o] :
( ( mono_2Ec_2Ebool_2EF != $true )
| ( $true = X0 ) ),
inference(cnf_transformation,[],[f144]) ).
thf(f277,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Einteger_2ENum @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) )
= X0 ),
inference(cnf_transformation,[],[f81]) ).
thf(f284,plain,
! [X0: d,X1: mono_2Etyop_2Einteger_2Eint] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ X1 ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Einteger_2Eint__lt @ X1 @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Einteger_2ENum @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) ) ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Einteger_2ENum @ X1 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f82]) ).
thf(f286,plain,
( ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 )
= ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
inference(cnf_transformation,[],[f79]) ).
thf(f296,plain,
! [X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f85]) ).
thf(f354,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ mono_2Ec_2Enum_2E0 )
= $false ),
inference(not_proxy_clausification,[],[f232]) ).
thf(f358,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Enum_2E0 != X1 )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) )
!= $true )
| ( $false
= ( mono_2Ec_2Enum_2E0 = X0 ) ) ),
inference(not_proxy_clausification,[],[f220]) ).
thf(f359,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( $false
= ( mono_2Ec_2Enum_2E0 = X0 ) )
| ( $false
= ( mono_2Ec_2Enum_2E0 = X1 ) )
| ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) )
!= $true ) ),
inference(not_proxy_clausification,[],[f358]) ).
thf(f360,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) )
!= $true )
| ( mono_2Ec_2Enum_2E0 != X0 )
| ( $false
= ( mono_2Ec_2Enum_2E0 = X1 ) ) ),
inference(equality_proxy_clausification,[],[f359]) ).
thf(f361,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) )
!= $true )
| ( mono_2Ec_2Enum_2E0 != X0 )
| ( mono_2Ec_2Enum_2E0 != X1 ) ),
inference(equality_proxy_clausification,[],[f360]) ).
thf(f375,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) )
= $false )
| ( ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1 )
= $true ) ),
inference(iff_proxy_clausification,[],[f219]) ).
thf(f386,definition,
( spl4_1
<=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
thf(f388,plain,
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) )
| spl4_1 ),
inference(avatar_component_clause,[],[f386]) ).
thf(f389,plain,
~ spl4_1,
inference(avatar_split_clause,[],[f250,f386]) ).
thf(f391,definition,
( spl4_2
<=> ( ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 )
= ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
thf(f393,plain,
( ( ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 )
= ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f391]) ).
thf(f394,plain,
spl4_2,
inference(avatar_split_clause,[],[f286,f391]) ).
thf(f399,definition,
( spl4_4
<=> ( mono_2Ec_2Ebool_2EF = $true ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
thf(f400,plain,
( ( mono_2Ec_2Ebool_2EF != $true )
| spl4_4 ),
inference(avatar_component_clause,[],[f399]) ).
thf(f404,definition,
( spl4_5
<=> ! [X0: $o] : ( $true = X0 ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
thf(f405,plain,
( ! [X0: $o] : ( $true = X0 )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f404]) ).
thf(f406,plain,
( spl4_5
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f253,f399,f404]) ).
thf(f427,plain,
( ! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2E0 != mono_2Ec_2Enum_2E0 )
| ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) )
!= $true )
| ( mono_2Ec_2Enum_2E0 != X0 ) )
| ~ spl4_2 ),
inference(superposition,[],[f361,f393]) ).
thf(f430,plain,
( ! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) )
!= $true )
| ( mono_2Ec_2Enum_2E0 != X0 ) )
| ~ spl4_2 ),
inference(trivial_inequality_removal,[],[f427]) ).
thf(f449,plain,
( ! [X0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Enum_2E0 != X0 )
| ~ spl4_2
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f430,f405]) ).
thf(f451,plain,
( $false
| ~ spl4_2
| ~ spl4_5 ),
inference(equality_resolution,[],[f449]) ).
thf(f454,plain,
( ~ spl4_2
| ~ spl4_5 ),
inference(avatar_contradiction_clause,[],[f451]) ).
thf(f457,plain,
( ( mono_2Ec_2Ebool_2EF = $false )
| ( $true != $true )
| spl4_4 ),
inference(fool_paramodulation,[],[f400]) ).
thf(f458,plain,
( ( mono_2Ec_2Ebool_2EF = $false )
| spl4_4 ),
inference(trivial_inequality_removal,[],[f457]) ).
thf(f460,definition,
( spl4_9
<=> ( mono_2Ec_2Ebool_2EF = $false ) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
thf(f462,plain,
( ( mono_2Ec_2Ebool_2EF = $false )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f460]) ).
thf(f463,plain,
( spl4_9
| spl4_4 ),
inference(avatar_split_clause,[],[f458,f399,f460]) ).
thf(f507,plain,
( ! [X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Einteger_2ENum @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Einteger_2ENum @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ) ) ) )
| ~ spl4_2 ),
inference(superposition,[],[f284,f393]) ).
thf(f513,plain,
( ! [X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ) )
| ~ spl4_2 ),
inference(forward_demodulation,[],[f507,f277]) ).
thf(f516,plain,
( ! [X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ) )
| ~ spl4_2 ),
inference(forward_demodulation,[],[f513,f296]) ).
thf(f604,plain,
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) )
| spl4_1
| ~ spl4_2 ),
inference(superposition,[],[f388,f516]) ).
thf(f615,definition,
( spl4_10
<=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
thf(f617,plain,
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) )
| spl4_10 ),
inference(avatar_component_clause,[],[f615]) ).
thf(f618,plain,
( ~ spl4_10
| spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f604,f391,f386,f615]) ).
thf(f719,plain,
( ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ mono_2Ec_2Enum_2E0 )
= $true )
| ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) )
| spl4_10 ),
inference(superposition,[],[f617,f375]) ).
thf(f726,plain,
( ( $false = $true )
| ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) )
| spl4_10 ),
inference(forward_demodulation,[],[f719,f354]) ).
thf(f727,plain,
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) )
| spl4_10 ),
inference(trivial_inequality_removal,[],[f726]) ).
thf(f729,definition,
( spl4_14
<=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
thf(f731,plain,
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) )
| spl4_14 ),
inference(avatar_component_clause,[],[f729]) ).
thf(f732,plain,
( ~ spl4_14
| spl4_10 ),
inference(avatar_split_clause,[],[f727,f615,f729]) ).
thf(f823,plain,
( ! [X3: u,X0: d,X4: u] :
( ( s @ X0 @ X4 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ X0 @ X3 ) @ ( s @ X0 @ X4 ) ) ) )
| ~ spl4_9 ),
inference(forward_demodulation,[],[f206,f462]) ).
thf(f909,plain,
( $false
| ~ spl4_9
| spl4_14 ),
inference(forward_subsumption_resolution,[],[f731,f823]) ).
thf(f910,plain,
( ~ spl4_9
| spl4_14 ),
inference(avatar_contradiction_clause,[],[f909]) ).
cnf(s1,plain,
~ spl4_1,
inference(sat_conversion,[],[f389]) ).
cnf(s2,plain,
spl4_2,
inference(sat_conversion,[],[f394]) ).
cnf(s4,plain,
( ~ spl4_4
| spl4_5 ),
inference(sat_conversion,[],[f406]) ).
cnf(s10,plain,
( ~ spl4_2
| ~ spl4_5 ),
inference(sat_conversion,[],[f454]) ).
cnf(s12,plain,
( spl4_4
| spl4_9 ),
inference(sat_conversion,[],[f463]) ).
cnf(s13,plain,
( spl4_1
| ~ spl4_2
| ~ spl4_10 ),
inference(sat_conversion,[],[f618]) ).
cnf(s17,plain,
( spl4_10
| ~ spl4_14 ),
inference(sat_conversion,[],[f732]) ).
cnf(s19,plain,
( ~ spl4_9
| spl4_14 ),
inference(sat_conversion,[],[f910]) ).
cnf(s20,plain,
~ spl4_5,
inference(rat,[],[s10,s2]) ).
cnf(s21,plain,
~ spl4_4,
inference(rat,[],[s4,s20]) ).
cnf(s22,plain,
spl4_9,
inference(rat,[],[s12,s21]) ).
cnf(s24,plain,
spl4_14,
inference(rat,[],[s19,s22]) ).
cnf(s26,plain,
spl4_10,
inference(rat,[],[s17,s24]) ).
cnf(s27,plain,
spl4_1,
inference(rat,[],[s13,s2,s26]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s1,s27]) ).
thf(f911,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP015^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n007.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 19:27:17 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 Running higher-order theorem proving
% 0.21/0.30 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/0.42 % (3802048)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.65/0.42 % (3802053)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1748709548:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.65/0.42 % (3802059)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.65/0.42 % (3802059)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.65/0.42 % (3802054)lrs+10_16_si=on:nwc=1.5:random_seed=3552633468:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.65/0.42 % (3802057)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1988836895:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.65/0.42 % (3802058)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3340723934:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.65/0.42 % (3802055)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2630161334:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.65/0.42 % (3802059)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3301380301:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.65/0.42 % (3802055)Instruction limit reached!
% 0.65/0.42 % (3802055)------------------------------
% 0.65/0.42 % (3802055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.42 % (3802055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.42 % (3802055)CaDiCaL version: 2.1.3
% 0.65/0.42 % (3802055)Termination reason: Instruction limit
% 0.65/0.42 % (3802055)Termination phase: shuffling
% 0.65/0.42 % (3802055)Time elapsed: 0.003 s
% 0.65/0.42 % (3802055)Peak memory usage: 10 MB
% 0.65/0.42 % (3802055)Instructions burned: 6 (million)
% 0.65/0.42 % (3802056)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=335426797:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.65/0.42 % (3802054)Instruction limit reached!
% 0.65/0.42 % (3802054)------------------------------
% 0.65/0.42 % (3802054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.42 % (3802054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.42 % (3802054)CaDiCaL version: 2.1.3
% 0.65/0.42 % (3802054)Termination reason: Instruction limit
% 0.65/0.42 % (3802054)Termination phase: Function definition elimination
% 0.65/0.42 % (3802054)Time elapsed: 0.009 s
% 0.65/0.42 % (3802054)Peak memory usage: 10 MB
% 0.65/0.42 % (3802054)Instructions burned: 20 (million)
% 0.65/0.42 % (3802057)Instruction limit reached!
% 0.65/0.42 % (3802057)------------------------------
% 0.65/0.42 % (3802057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.42 % (3802057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.42 % (3802057)CaDiCaL version: 2.1.3
% 0.65/0.42 % (3802057)Termination reason: Instruction limit
% 0.65/0.42 % (3802057)Termination phase: Saturation
% 0.65/0.42 % (3802057)Time elapsed: 0.013 s
% 0.65/0.42 % (3802057)Peak memory usage: 11 MB
% 0.65/0.42 % (3802057)Instructions burned: 30 (million)
% 0.65/0.42 % (3802053)Instruction limit reached!
% 0.65/0.42 % (3802053)------------------------------
% 0.65/0.42 % (3802053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.42 % (3802053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.42 % (3802053)CaDiCaL version: 2.1.3
% 0.65/0.42 % (3802053)Termination reason: Instruction limit
% 0.65/0.42 % (3802053)Termination phase: Saturation
% 0.65/0.42 % (3802053)Time elapsed: 0.023 s
% 0.65/0.42 % (3802053)Peak memory usage: 13 MB
% 0.65/0.42 % (3802053)Instructions burned: 91 (million)
% 0.65/0.42 % (3802066)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1354227395:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.65/0.42 % (3802066)Instruction limit reached!
% 0.65/0.42 % (3802066)------------------------------
% 0.65/0.42 % (3802066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.45 % (3802066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.45 % (3802066)CaDiCaL version: 2.1.3
% 0.65/0.45 % (3802066)Termination reason: Instruction limit
% 0.65/0.45 % (3802066)Termination phase: Property scanning
% 0.65/0.45 % (3802066)Time elapsed: 0.003 s
% 0.65/0.45 % (3802066)Peak memory usage: 10 MB
% 0.65/0.45 % (3802066)Instructions burned: 6 (million)
% 0.65/0.45 % (3802070)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=146922442:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.65/0.45 % (3802068)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1941783737:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.65/0.45 % (3802069)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.65/0.45 % (3802070)Instruction limit reached!
% 0.65/0.45 % (3802070)------------------------------
% 0.65/0.45 % (3802070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.45 % (3802070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.45 % (3802070)CaDiCaL version: 2.1.3
% 0.65/0.45 % (3802070)Termination reason: Instruction limit
% 0.65/0.45 % (3802070)Termination phase: Preprocessing 3
% 0.65/0.45 % (3802070)Time elapsed: 0.003 s
% 0.65/0.45 % (3802070)Peak memory usage: 10 MB
% 0.65/0.45 % (3802070)Instructions burned: 15 (million)
% 0.65/0.45 % (3802068)Instruction limit reached!
% 0.65/0.45 % (3802068)------------------------------
% 0.65/0.45 % (3802068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.45 % (3802068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.45 % (3802068)CaDiCaL version: 2.1.3
% 0.65/0.45 % (3802068)Termination reason: Instruction limit
% 0.65/0.45 % (3802068)Termination phase: Property scanning
% 0.65/0.45 % (3802068)Time elapsed: 0.003 s
% 0.65/0.45 % (3802068)Peak memory usage: 10 MB
% 0.65/0.45 % (3802068)Instructions burned: 7 (million)
% 0.65/0.45 % (3802069)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3395701472:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.65/0.45 % (3802069)Instruction limit reached!
% 0.65/0.45 % (3802069)------------------------------
% 0.65/0.45 % (3802069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.45 % (3802069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.45 % (3802069)CaDiCaL version: 2.1.3
% 0.65/0.45 % (3802069)Termination reason: Instruction limit
% 0.65/0.45 % (3802069)Termination phase: shuffling
% 0.65/0.45 % (3802069)Time elapsed: 0.003 s
% 0.65/0.45 % (3802069)Peak memory usage: 10 MB
% 0.65/0.45 % (3802069)Instructions burned: 8 (million)
% 0.65/0.45 % (3802058)Instruction limit reached!
% 0.65/0.45 % (3802058)------------------------------
% 0.65/0.45 % (3802058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.45 % (3802058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.45 % (3802058)CaDiCaL version: 2.1.3
% 0.65/0.45 % (3802058)Termination reason: Instruction limit
% 0.65/0.45 % (3802058)Termination phase: Saturation
% 0.65/0.45 % (3802058)Time elapsed: 0.038 s
% 0.65/0.45 % (3802058)Peak memory usage: 13 MB
% 0.65/0.45 % (3802058)Instructions burned: 76 (million)
% 0.65/0.45 % (3802072)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.65/0.45 % (3802072)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.65/0.45 % (3802075)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3145225838:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.65/0.45 % (3802072)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4036329897:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.65/0.45 % (3802077)lrs+10_1_si=on:cs=on:random_seed=441698896:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.65/0.48 % (3802078)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.65/0.48 % (3802078)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2720313264:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.65/0.48 % (3802077)Instruction limit reached!
% 0.65/0.48 % (3802077)------------------------------
% 0.65/0.48 % (3802077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.48 % (3802077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.48 % (3802077)CaDiCaL version: 2.1.3
% 0.65/0.48 % (3802077)Termination reason: Instruction limit
% 0.65/0.48 % (3802077)Termination phase: Preprocessing 1
% 0.65/0.48 % (3802077)Time elapsed: 0.004 s
% 0.65/0.48 % (3802077)Peak memory usage: 10 MB
% 0.65/0.48 % (3802077)Instructions burned: 9 (million)
% 0.65/0.48 % (3802078)Instruction limit reached!
% 0.65/0.48 % (3802078)------------------------------
% 0.65/0.48 % (3802078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.48 % (3802078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.48 % (3802078)CaDiCaL version: 2.1.3
% 0.65/0.48 % (3802078)Termination reason: Instruction limit
% 0.65/0.48 % (3802078)Termination phase: shuffling
% 0.65/0.48 % (3802078)Time elapsed: 0.002 s
% 0.65/0.48 % (3802078)Peak memory usage: 10 MB
% 0.65/0.48 % (3802078)Instructions burned: 4 (million)
% 0.65/0.48 % (3802072)Instruction limit reached!
% 0.65/0.48 % (3802072)------------------------------
% 0.65/0.48 % (3802072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.48 % (3802072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.48 % (3802072)CaDiCaL version: 2.1.3
% 0.65/0.48 % (3802072)Termination reason: Instruction limit
% 0.65/0.48 % (3802072)Termination phase: Property scanning
% 0.65/0.48 % (3802072)Time elapsed: 0.012 s
% 0.65/0.48 % (3802072)Peak memory usage: 10 MB
% 0.65/0.48 % (3802072)Instructions burned: 28 (million)
% 0.65/0.48 % (3802079)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=566164964:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.65/0.48 % (3802079)Refutation not found, incomplete strategy
% 0.65/0.48 % (3802079)------------------------------
% 0.65/0.48 % (3802079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.48 % (3802079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.48 % (3802079)CaDiCaL version: 2.1.3
% 0.65/0.48 % (3802079)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.48 % (3802079)Time elapsed: 0.005 s
% 0.65/0.48 % (3802079)Peak memory usage: 12 MB
% 0.65/0.48 % (3802079)Instructions burned: 11 (million)
% 0.65/0.48 % (3802079)------------------------------
% 0.65/0.48 % (3802079)------------------------------
% 0.65/0.48 % (3802075)Instruction limit reached!
% 0.65/0.48 % (3802075)------------------------------
% 0.65/0.48 % (3802075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.48 % (3802075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.48 % (3802075)CaDiCaL version: 2.1.3
% 0.65/0.48 % (3802075)Termination reason: Instruction limit
% 0.65/0.48 % (3802075)Termination phase: Saturation
% 0.65/0.48 % (3802075)Time elapsed: 0.028 s
% 0.65/0.48 % (3802075)Peak memory usage: 13 MB
% 0.65/0.48 % (3802075)Instructions burned: 88 (million)
% 0.65/0.48 % (3802085)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1305245382:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.65/0.48 % (3802084)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3371839180:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.65/0.48 % (3802059)Instruction limit reached!
% 0.65/0.48 % (3802059)------------------------------
% 0.65/0.48 % (3802059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.48 % (3802059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.48 % (3802059)CaDiCaL version: 2.1.3
% 0.65/0.48 % (3802059)Termination reason: Instruction limit
% 0.65/0.48 % (3802059)Termination phase: Saturation
% 0.65/0.48 % (3802059)Time elapsed: 0.076 s
% 0.65/0.48 % (3802059)Peak memory usage: 13 MB
% 0.65/0.48 % (3802059)Instructions burned: 158 (million)
% 0.65/0.48 % (3802087)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2210967727:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.65/0.48 % (3802089)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3308095750:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.65/0.48 % (3802089)Instruction limit reached!
% 0.65/0.48 % (3802089)------------------------------
% 0.65/0.48 % (3802089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.48 % (3802089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.48 % (3802089)CaDiCaL version: 2.1.3
% 0.65/0.48 % (3802089)Termination reason: Instruction limit
% 0.65/0.48 % (3802089)Termination phase: Property scanning
% 0.65/0.48 % (3802089)Time elapsed: 0.003 s
% 0.65/0.48 % (3802089)Peak memory usage: 10 MB
% 0.65/0.48 % (3802089)Instructions burned: 14 (million)
% 0.65/0.48 % (3802088)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3941835687:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.65/0.48 % (3802084)Refutation not found, incomplete strategy
% 0.65/0.48 % (3802084)------------------------------
% 0.65/0.48 % (3802084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.48 % (3802084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.48 % (3802084)CaDiCaL version: 2.1.3
% 0.65/0.48 % (3802084)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.48 % (3802084)Time elapsed: 0.008 s
% 0.65/0.48 % (3802084)Peak memory usage: 12 MB
% 0.65/0.48 % (3802084)Instructions burned: 17 (million)
% 0.65/0.48 % (3802084)------------------------------
% 0.65/0.48 % (3802084)------------------------------
% 0.65/0.48 % (3802087)Instruction limit reached!
% 0.65/0.48 % (3802087)------------------------------
% 0.65/0.48 % (3802087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.48 % (3802087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.48 % (3802087)CaDiCaL version: 2.1.3
% 0.65/0.48 % (3802087)Termination reason: Instruction limit
% 0.65/0.48 % (3802087)Termination phase: Property scanning
% 0.65/0.48 % (3802087)Time elapsed: 0.006 s
% 0.65/0.48 % (3802087)Peak memory usage: 10 MB
% 0.65/0.48 % (3802087)Instructions burned: 14 (million)
% 0.65/0.48 % (3802085)Instruction limit reached!
% 0.65/0.48 % (3802085)------------------------------
% 0.65/0.48 % (3802085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.48 % (3802085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.48 % (3802085)CaDiCaL version: 2.1.3
% 0.65/0.48 % (3802085)Termination reason: Instruction limit
% 0.65/0.48 % (3802085)Termination phase: Saturation
% 0.65/0.48 % (3802085)Time elapsed: 0.013 s
% 0.65/0.48 % (3802085)Peak memory usage: 12 MB
% 0.65/0.48 % (3802085)Instructions burned: 26 (million)
% 0.65/0.48 % (3802095)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=393182382:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.65/0.48 % (3802092)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3474701129:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.65/0.48 % (3802092)Instruction limit reached!
% 0.65/0.48 % (3802092)------------------------------
% 0.65/0.48 % (3802092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.48 % (3802092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.48 % (3802092)CaDiCaL version: 2.1.3
% 0.65/0.48 % (3802092)Termination reason: Instruction limit
% 0.65/0.48 % (3802092)Termination phase: Property scanning
% 0.65/0.48 % (3802092)Time elapsed: 0.002 s
% 0.65/0.48 % (3802092)Peak memory usage: 9 MB
% 0.65/0.48 % (3802092)Instructions burned: 4 (million)
% 0.65/0.48 % (3802095)Instruction limit reached!
% 0.65/0.48 % (3802095)------------------------------
% 0.65/0.48 % (3802095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.48 % (3802095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.48 % (3802095)CaDiCaL version: 2.1.3
% 0.65/0.48 % (3802095)Termination reason: Instruction limit
% 0.65/0.48 % (3802095)Termination phase: Property scanning
% 0.65/0.48 % (3802095)Time elapsed: 0.006 s
% 0.65/0.48 % (3802095)Peak memory usage: 10 MB
% 0.65/0.48 % (3802095)Instructions burned: 29 (million)
% 0.65/0.48 % (3802099)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.65/0.48 % (3802099)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.65/0.48 % (3802097)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=348656260:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.65/0.48 % (3802099)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3445804895:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.65/0.48 % (3802098)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1467519172:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.65/0.48 % (3802102)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.65/0.48 % (3802103)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3887519630:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.65/0.48 % (3802099)Instruction limit reached!
% 0.65/0.48 % (3802099)------------------------------
% 0.65/0.48 % (3802099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.48 % (3802099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.48 % (3802099)CaDiCaL version: 2.1.3
% 0.65/0.48 % (3802099)Termination reason: Instruction limit
% 0.65/0.48 % (3802099)Termination phase: Property scanning
% 0.65/0.48 % (3802099)Time elapsed: 0.007 s
% 0.65/0.48 % (3802099)Peak memory usage: 10 MB
% 0.65/0.48 % (3802099)Instructions burned: 16 (million)
% 0.65/0.48 % (3802102)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=4153003333:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.65/0.48 % (3802097)Instruction limit reached!
% 0.65/0.48 % (3802097)------------------------------
% 0.65/0.48 % (3802097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.48 % (3802097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.48 % (3802097)CaDiCaL version: 2.1.3
% 0.65/0.48 % (3802097)Termination reason: Instruction limit
% 0.65/0.48 % (3802097)Termination phase: Property scanning
% 0.65/0.48 % (3802097)Time elapsed: 0.010 s
% 0.65/0.48 % (3802097)Peak memory usage: 11 MB
% 0.65/0.48 % (3802097)Instructions burned: 25 (million)
% 0.65/0.48 % (3802102)Instruction limit reached!
% 0.65/0.48 % (3802102)------------------------------
% 0.65/0.48 % (3802102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.48 % (3802102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.48 % (3802102)CaDiCaL version: 2.1.3
% 0.65/0.48 % (3802102)Termination reason: Instruction limit
% 0.65/0.48 % (3802102)Termination phase: SInE selection
% 0.65/0.48 % (3802102)Time elapsed: 0.004 s
% 0.65/0.48 % (3802102)Peak memory usage: 10 MB
% 0.65/0.48 % (3802102)Instructions burned: 9 (million)
% 0.65/0.48 % (3802056) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3802048-3802056"...
% 0.65/0.48 % (3802103)Instruction limit reached!
% 0.65/0.48 % (3802103)------------------------------
% 0.65/0.48 % (3802103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.48 % (3802103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.48 % (3802103)CaDiCaL version: 2.1.3
% 0.65/0.48 % (3802103)Termination reason: Instruction limit
% 0.65/0.48 % (3802103)Termination phase: Property scanning
% 0.65/0.48 % (3802103)Time elapsed: 0.008 s
% 0.65/0.48 % (3802103)Peak memory usage: 10 MB
% 0.65/0.48 % (3802103)Instructions burned: 32 (million)
% 0.65/0.48 % (3802056)...printing done.
% 0.65/0.48 % (3802056)Refutation found. Thanks to Tanya!
% 0.65/0.48 % SZS status Theorem for theBenchmark
% 0.65/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.65/0.48 % (3802056)------------------------------
% 0.65/0.48 % (3802056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.48 % (3802056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.48 % (3802056)CaDiCaL version: 2.1.3
% 0.65/0.48 % (3802056)Termination reason: Refutation
% 0.65/0.48 % (3802056)Time elapsed: 0.121 s
% 0.65/0.48 % (3802056)Peak memory usage: 14 MB
% 0.65/0.48 % (3802056)Instructions burned: 179 (million)
% 0.65/0.48 % (3802048)Success in time 0.174 s
% 0.65/0.48 % Vampire exiting
%------------------------------------------------------------------------------