%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ITP021^1 : TPTP v9.2.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 : Wed Feb 25 08:54:19 AM UTC 2026
% Result : Theorem 8.55s 2.54s
% Output : Refutation 8.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 35
% Syntax : Number of formulae : 179 ( 32 unt; 0 typ; 17 def)
% Number of atoms : 1193 ( 410 equ; 0 cnn)
% Maximal formula atoms : 30 ( 6 avg)
% Number of connectives : 1595 ( 296 ~; 257 |; 109 &; 860 @)
% ( 53 <=>; 19 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 99 ( 96 usr; 41 con; 0-4 aty)
% Number of variables : 190 ( 0 ^; 175 !; 15 ?; 190 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
d: $tType ).
thf(type_def_7,type,
u: $tType ).
thf(type_def_8,type,
du: $tType ).
thf(type_def_9,type,
mono_2Etyop_2Eextreal_2Eextreal: $tType ).
thf(func_def_0,type,
u: $tType ).
thf(func_def_1,type,
d: $tType ).
thf(func_def_2,type,
du: $tType ).
thf(func_def_3,type,
mono_2Etyop_2Eextreal_2Eextreal: $tType ).
thf(func_def_4,type,
tyop_2Eextreal_2Eextreal: d ).
thf(func_def_5,type,
tyop_2Emin_2Ebool: d ).
thf(func_def_6,type,
tyop_2Emin_2Efun: d > d > d ).
thf(func_def_7,type,
s: d > u > du ).
thf(func_def_8,type,
app_2E2: du > du > u ).
thf(func_def_9,type,
combin_i_2E0: u ).
thf(func_def_10,type,
combin_k_2E0: u ).
thf(func_def_11,type,
combin_s_2E0: u ).
thf(func_def_12,type,
c_2Ebool_2E_21_2E0: u ).
thf(func_def_13,type,
c_2Ebool_2E_21_2E1: du > u ).
thf(func_def_14,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(func_def_15,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(func_def_16,type,
c_2Emin_2E_3D_2E0: u ).
thf(func_def_17,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(func_def_18,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(func_def_19,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(func_def_20,type,
c_2Ebool_2E_3F_2E0: u ).
thf(func_def_21,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(func_def_22,type,
c_2Ebool_2ECOND_2E0: u ).
thf(func_def_23,type,
c_2Ebool_2ECOND_2E3: du > du > du > u ).
thf(func_def_24,type,
c_2Ebool_2EF_2E0: u ).
thf(func_def_25,type,
c_2Ebool_2ET_2E0: u ).
thf(func_def_26,type,
c_2Ebool_2E_5C_2F_2E0: u ).
thf(func_def_27,type,
c_2Ebool_2E_5C_2F_2E2: du > du > u ).
thf(func_def_28,type,
c_2Eextreal_2Eextreal__le_2E0: u ).
thf(func_def_29,type,
c_2Eextreal_2Eextreal__le_2E2: du > du > u ).
thf(func_def_30,type,
c_2Eextreal_2Eextreal__max_2E0: u ).
thf(func_def_31,type,
c_2Eextreal_2Eextreal__max_2E2: du > du > u ).
thf(func_def_32,type,
c_2Ebool_2E_7E_2E0: u ).
thf(func_def_33,type,
c_2Ebool_2E_7E_2E1: du > u ).
thf(func_def_34,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
thf(func_def_35,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_36,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: ( $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_37,type,
mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal > $o ).
thf(func_def_38,type,
mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_39,type,
mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ).
thf(func_def_40,type,
mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_41,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_42,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_43,type,
mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal: $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_46,type,
mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_47,type,
mono_2Ec_2Eextreal_2Eextreal__le: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ).
thf(func_def_48,type,
mono_2Ec_2Eextreal_2Eextreal__max: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_49,type,
mono_2Ec_2Ebool_2E_7E: $o > $o ).
thf(func_def_50,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(func_def_51,type,
i_mono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Eextreal_2Eextreal > u ).
thf(func_def_52,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
thf(func_def_53,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_54,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: ( $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > u ).
thf(func_def_55,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > u ).
thf(func_def_56,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > u ).
thf(func_def_57,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ) > u ).
thf(func_def_58,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > u ).
thf(func_def_59,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(func_def_60,type,
j_mono_2Etyop_2Eextreal_2Eextreal: du > mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_61,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
thf(func_def_62,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_63,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: du > $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_64,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Eextreal_2Eextreal > $o ).
thf(func_def_65,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_66,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ).
thf(func_def_67,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_74,type,
sP0: $o > $o > $o > $o ).
thf(func_def_75,type,
sP1: $o > $o > $o > $o ).
thf(func_def_76,type,
sP2: $o > $o > $o > $o ).
thf(func_def_77,type,
sP3: $o > $o > $o > $o ).
thf(func_def_78,type,
sP4: $o > $o > $o > $o ).
thf(func_def_79,type,
sP5: $o > $o > $o > $o ).
thf(func_def_80,type,
sP6: $o > $o > $o > $o ).
thf(func_def_81,type,
sP7: $o > $o > $o > $o ).
thf(func_def_82,type,
sP8: $o > $o > $o > $o ).
thf(func_def_83,type,
sP9: $o > $o > $o > $o ).
thf(func_def_84,type,
sK10: u > u > d > d > u ).
thf(func_def_85,type,
sK11: mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_86,type,
sK12: mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_87,type,
sK13: mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_89,type,
ph15:
!>[X0: $tType] : X0 ).
thf(f4819,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f686,f691,f716,f718,f729,f1353,f1371,f3265,f3275,f3276,f3609,f4395,f4466,f4582,f4584,f4589,f4594,f4610,f4624,f4748,f4749,f4795,f4818]) ).
thf(f4818,plain,
( ~ spl14_3
| spl14_4
| ~ spl14_29 ),
inference(avatar_contradiction_clause,[status(thm)],[f4817]) ).
thf(f4817,plain,
( $false
| ~ spl14_3
| spl14_4
| ~ spl14_29 ),
inference(subsumption_resolution,[status(thm)],[f4810,f685]) ).
thf(f685,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11 ) )
| ~ spl14_3 ),
inference(avatar_component_clause,[status(thm)],[f683]) ).
thf(f683,definition,
( spl14_3
<=> ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11 ) ) ),
introduced(definition,[new_symbols(naming,[spl14_3])],[avatar_definition]) ).
thf(f4810,plain,
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11 ) )
| spl14_4
| ~ spl14_29 ),
inference(trivial_inequality_removal,[status(thm)],[f4808]) ).
thf(f4808,plain,
( ( $true != $true )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11 ) )
| spl14_4
| ~ spl14_29 ),
inference(superposition,[status(thm)],[f4607,f4415]) ).
thf(f4415,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK13 ) )
| ~ spl14_29 ),
inference(avatar_component_clause,[status(thm)],[f4413]) ).
thf(f4413,definition,
( spl14_29
<=> ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK13 ) ) ),
introduced(definition,[new_symbols(naming,[spl14_29])],[avatar_definition]) ).
thf(f4607,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ X0 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK11 ) ) )
| spl14_4 ),
inference(trivial_inequality_removal,[status(thm)],[f4604]) ).
thf(f4604,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true != $true )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ X0 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK11 ) ) )
| spl14_4 ),
inference(superposition,[status(thm)],[f689,f379]) ).
thf(f379,plain,
! [X2: mono_2Etyop_2Eextreal_2Eextreal,X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1 )
!= $true )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 ) ) ),
inference(cnf_transformation,[status(thm)],[f246]) ).
thf(f246,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1 )
!= $true )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 ) ) ),
inference(rectify,[status(thm)],[f186]) ).
thf(f186,plain,
! [X2: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1 )
= $true )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
!= $true ) ),
inference(flattening,[status(thm)],[f185]) ).
thf(f185,plain,
! [X2: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1 )
= $true )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
!= $true )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) ) ),
inference(ennf_transformation,[status(thm)],[f127]) ).
thf(f127,plain,
! [X2: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
= $true )
& ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) ) )
=> ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1 )
= $true ) ),
inference(fool_elimination,[status(thm)],[f126]) ).
thf(f126,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
& ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) )
=> ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1 ) ),
inference(rectify,[status(thm)],[f64]) ).
thf(f64,axiom,
! [X27: mono_2Etyop_2Eextreal_2Eextreal,X28: mono_2Etyop_2Eextreal_2Eextreal,X26: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X26 @ X27 )
& ( mono_2Ec_2Eextreal_2Eextreal__le @ X27 @ X28 ) )
=> ( mono_2Ec_2Eextreal_2Eextreal__le @ X26 @ X28 ) ),
file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Eextreal_2Ele__trans) ).
thf(f689,plain,
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) )
| spl14_4 ),
inference(avatar_component_clause,[status(thm)],[f688]) ).
thf(f688,definition,
( spl14_4
<=> ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) ) ),
introduced(definition,[new_symbols(naming,[spl14_4])],[avatar_definition]) ).
thf(f4795,plain,
( spl14_30
| ~ spl14_28 ),
inference(avatar_split_clause,[status(thm)],[f4794,f4408,f4458]) ).
thf(f4458,definition,
( spl14_30
<=> ( ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 )
= sK13 ) ),
introduced(definition,[new_symbols(naming,[spl14_30])],[avatar_definition]) ).
thf(f4408,definition,
( spl14_28
<=> ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12 ) ) ),
introduced(definition,[new_symbols(naming,[spl14_28])],[avatar_definition]) ).
thf(f4794,plain,
( ( ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 )
= sK13 )
| ~ spl14_28 ),
inference(forward_demodulation,[status(thm)],[f4782,f3133]) ).
thf(f3133,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X0 @ X1 )
= X1 ),
inference(forward_demodulation,[status(thm)],[f3118,f411]) ).
thf(f411,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X0 ) ) )
= X0 ),
inference(cnf_transformation,[status(thm)],[f166]) ).
thf(f166,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X0 ) ) )
= X0 ),
inference(rectify,[status(thm)],[f22]) ).
thf(f22,axiom,
! [X8: mono_2Etyop_2Eextreal_2Eextreal] :
( ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X8 ) ) )
= X8 ),
file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',ji_2Emono_2Etyop_2Eextreal_2Eextreal) ).
thf(f3118,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X0 @ X1 )
= ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X1 ) ) ) ),
inference(superposition,[status(thm)],[f411,f2315]) ).
thf(f2315,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X1 ) )
= ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X0 @ X1 ) ) ) ),
inference(superposition,[status(thm)],[f319,f634]) ).
thf(f634,plain,
! [X2: u,X0: d,X1: u] :
( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ X0 @ X1 ) @ ( s @ X0 @ X2 ) ) )
= ( s @ X0 @ X2 ) ),
inference(boolean_simplification,[status(thm)],[f464]) ).
thf(f464,plain,
! [X2: u,X0: d,X1: u] :
( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ~ $true ) ) @ ( s @ X0 @ X1 ) @ ( s @ X0 @ X2 ) ) )
= ( s @ X0 @ X2 ) ),
inference(definition_unfolding,[status(thm)],[f317,f458]) ).
thf(f458,plain,
( mono_2Ec_2Ebool_2EF = ( ~ $true ) ),
inference(definition_unfolding,[status(thm)],[f420,f315]) ).
thf(f315,plain,
mono_2Ec_2Ebool_2ET = $true,
inference(cnf_transformation,[status(thm)],[f87]) ).
thf(f87,plain,
mono_2Ec_2Ebool_2ET = $true,
inference(fool_elimination,[status(thm)],[f86]) ).
thf(f86,plain,
mono_2Ec_2Ebool_2ET,
inference(rectify,[status(thm)],[f50]) ).
thf(f50,axiom,
mono_2Ec_2Ebool_2ET,
file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Ebool_2ETRUTH) ).
thf(f420,plain,
( mono_2Ec_2Ebool_2EF = ( ~ mono_2Ec_2Ebool_2ET ) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
thf(f143,plain,
( ( mono_2Ec_2Ebool_2ET = ( ~ mono_2Ec_2Ebool_2EF ) )
& ! [X0: $o] :
( ( ~ ~ X0 )
= X0 )
& ( mono_2Ec_2Ebool_2EF = ( ~ mono_2Ec_2Ebool_2ET ) ) ),
inference(fool_elimination,[status(thm)],[f142]) ).
thf(f142,plain,
( ! [X0: $o] :
( X0
<=> ~ ~ X0 )
& ( ~ mono_2Ec_2Ebool_2EF
<=> mono_2Ec_2Ebool_2ET )
& ( ~ mono_2Ec_2Ebool_2ET
<=> mono_2Ec_2Ebool_2EF ) ),
inference(rectify,[status(thm)],[f57]) ).
thf(f57,axiom,
( ! [X20: $o] :
( X20
<=> ~ ~ X20 )
& ( ~ mono_2Ec_2Ebool_2EF
<=> mono_2Ec_2Ebool_2ET )
& ( ~ mono_2Ec_2Ebool_2ET
<=> mono_2Ec_2Ebool_2EF ) ),
file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Ebool_2ENOT__CLAUSES) ).
thf(f317,plain,
! [X2: u,X0: d,X1: u] :
( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X0 @ X1 ) @ ( s @ X0 @ X2 ) ) )
= ( s @ X0 @ X2 ) ),
inference(cnf_transformation,[status(thm)],[f221]) ).
thf(f221,plain,
! [X0: d,X1: u,X2: u] :
( ( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X0 @ X1 ) @ ( s @ X0 @ X2 ) ) )
= ( s @ X0 @ X2 ) )
& ( ( 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 ) ) ),
inference(rectify,[status(thm)],[f160]) ).
thf(f160,plain,
! [X2: d,X1: u,X0: u] :
( ( ( s @ X2 @ X0 )
= ( s @ X2 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X2 @ X1 ) @ ( s @ X2 @ X0 ) ) ) )
& ( ( s @ X2 @ X1 )
= ( s @ X2 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X2 @ X1 ) @ ( s @ X2 @ X0 ) ) ) ) ),
inference(rectify,[status(thm)],[f60]) ).
thf(f60,axiom,
! [X22: u,X21: u,X0: d] :
( ( ( s @ X0 @ X22 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X0 @ X21 ) @ ( s @ X0 @ X22 ) ) ) )
& ( ( s @ X0 @ X21 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X0 @ X21 ) @ ( s @ X0 @ X22 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Ebool_2ECOND__CLAUSES) ).
thf(f319,plain,
! [X2: $o,X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ X2 @ X1 @ X0 ) ) )
= ( s @ tyop_2Eextreal_2Eextreal @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X2 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X1 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X0 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f222]) ).
thf(f222,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: $o] :
( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ X2 @ X1 @ X0 ) ) )
= ( s @ tyop_2Eextreal_2Eextreal @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X2 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X1 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X0 ) ) ) ) ),
inference(rectify,[status(thm)],[f154]) ).
thf(f154,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal,X1: $o] :
( ( s @ tyop_2Eextreal_2Eextreal @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X1 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X2 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X0 ) ) ) )
= ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ X1 @ X2 @ X0 ) ) ) ),
inference(rectify,[status(thm)],[f42]) ).
thf(f42,axiom,
! [X17: mono_2Etyop_2Eextreal_2Eextreal,X8: $o,X9: mono_2Etyop_2Eextreal_2Eextreal] :
( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ X8 @ X9 @ X17 ) ) )
= ( s @ tyop_2Eextreal_2Eextreal @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X8 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X9 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X17 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal) ).
thf(f4782,plain,
( ( ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ sK12 @ sK13 ) )
| ~ spl14_28 ),
inference(superposition,[status(thm)],[f456,f4410]) ).
thf(f4410,plain,
( ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12 ) )
| ~ spl14_28 ),
inference(avatar_component_clause,[status(thm)],[f4408]) ).
thf(f456,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) @ X1 @ X0 )
= ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ X1 ) ),
inference(cnf_transformation,[status(thm)],[f279]) ).
thf(f279,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) @ X1 @ X0 )
= ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ X1 ) ),
inference(rectify,[status(thm)],[f153]) ).
thf(f153,plain,
! [X1: mono_2Etyop_2Eextreal_2Eextreal,X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X0 )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) @ X0 @ X1 ) ),
inference(rectify,[status(thm)],[f66]) ).
thf(f66,axiom,
! [X27: mono_2Etyop_2Eextreal_2Eextreal,X26: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__max @ X26 @ X27 )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Eextreal_2Eextreal__le @ X26 @ X27 ) @ X27 @ X26 ) ),
file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Eextreal_2Eextreal__max__def) ).
thf(f4749,plain,
( spl14_29
| spl14_27 ),
inference(avatar_split_clause,[status(thm)],[f4746,f4392,f4413]) ).
thf(f4392,definition,
( spl14_27
<=> ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12 ) ) ),
introduced(definition,[new_symbols(naming,[spl14_27])],[avatar_definition]) ).
thf(f4746,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK13 ) )
| spl14_27 ),
inference(trivial_inequality_removal,[status(thm)],[f4743]) ).
thf(f4743,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK13 ) )
| ( $true != $true )
| spl14_27 ),
inference(superposition,[status(thm)],[f4394,f404]) ).
thf(f404,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) ) ),
inference(cnf_transformation,[status(thm)],[f259]) ).
thf(f259,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) ) ),
inference(rectify,[status(thm)],[f95]) ).
thf(f95,plain,
! [X1: mono_2Etyop_2Eextreal_2Eextreal,X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) ) ),
inference(fool_elimination,[status(thm)],[f94]) ).
thf(f94,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) ),
inference(rectify,[status(thm)],[f65]) ).
thf(f65,axiom,
! [X27: mono_2Etyop_2Eextreal_2Eextreal,X26: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ X26 @ X27 )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ X27 @ X26 ) ),
file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Eextreal_2Ele__total) ).
thf(f4394,plain,
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12 ) )
| spl14_27 ),
inference(avatar_component_clause,[status(thm)],[f4392]) ).
thf(f4748,plain,
( spl14_28
| ~ spl14_9
| spl14_27 ),
inference(avatar_split_clause,[status(thm)],[f4747,f4392,f711,f4408]) ).
thf(f711,definition,
( spl14_9
<=> ! [X1: $o] :
( ( $false = X1 )
| ( $true = X1 ) ) ),
introduced(definition,[new_symbols(naming,[spl14_9])],[avatar_definition]) ).
thf(f4747,plain,
( ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12 ) )
| ~ spl14_9
| spl14_27 ),
inference(trivial_inequality_removal,[status(thm)],[f4744]) ).
thf(f4744,plain,
( ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12 ) )
| ( $true != $true )
| ~ spl14_9
| spl14_27 ),
inference(superposition,[status(thm)],[f4394,f712]) ).
thf(f712,plain,
( ! [X1: $o] :
( ( $true = X1 )
| ( $false = X1 ) )
| ~ spl14_9 ),
inference(avatar_component_clause,[status(thm)],[f711]) ).
thf(f4624,plain,
( spl14_23
| ~ spl14_11 ),
inference(avatar_split_clause,[status(thm)],[f4623,f803,f3196]) ).
thf(f3196,definition,
( spl14_23
<=> ( sK12
= ( mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11 ) ) ),
introduced(definition,[new_symbols(naming,[spl14_23])],[avatar_definition]) ).
thf(f803,definition,
( spl14_11
<=> ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) ) ),
introduced(definition,[new_symbols(naming,[spl14_11])],[avatar_definition]) ).
thf(f4623,plain,
( ( sK12
= ( mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11 ) )
| ~ spl14_11 ),
inference(forward_demodulation,[status(thm)],[f4615,f3133]) ).
thf(f4615,plain,
( ( ( mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11 )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ sK11 @ sK12 ) )
| ~ spl14_11 ),
inference(superposition,[status(thm)],[f456,f805]) ).
thf(f805,plain,
( ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) )
| ~ spl14_11 ),
inference(avatar_component_clause,[status(thm)],[f803]) ).
thf(f4610,plain,
( spl14_11
| spl14_4
| ~ spl14_9 ),
inference(avatar_split_clause,[status(thm)],[f4609,f711,f688,f803]) ).
thf(f4609,plain,
( ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) )
| spl14_4
| ~ spl14_9 ),
inference(trivial_inequality_removal,[status(thm)],[f4606]) ).
thf(f4606,plain,
( ( $true != $true )
| ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) )
| spl14_4
| ~ spl14_9 ),
inference(superposition,[status(thm)],[f689,f712]) ).
thf(f4594,plain,
( ( ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 )
!= sK13 )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11 ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 ) ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f4589,plain,
( ( sK12
!= ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 ) ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f4584,plain,
( spl14_3
| ~ spl14_4
| ~ spl14_9
| ~ spl14_27 ),
inference(avatar_contradiction_clause,[status(thm)],[f4583]) ).
thf(f4583,plain,
( $false
| spl14_3
| ~ spl14_4
| ~ spl14_9
| ~ spl14_27 ),
inference(subsumption_resolution,[status(thm)],[f4570,f690]) ).
thf(f690,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) )
| ~ spl14_4 ),
inference(avatar_component_clause,[status(thm)],[f688]) ).
thf(f4570,plain,
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) )
| spl14_3
| ~ spl14_9
| ~ spl14_27 ),
inference(trivial_inequality_removal,[status(thm)],[f4566]) ).
thf(f4566,plain,
( ( $true = $false )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) )
| spl14_3
| ~ spl14_9
| ~ spl14_27 ),
inference(superposition,[status(thm)],[f4393,f1446]) ).
thf(f1446,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ X0 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK11 ) ) )
| spl14_3
| ~ spl14_9 ),
inference(trivial_inequality_removal,[status(thm)],[f1443]) ).
thf(f1443,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ X0 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK11 ) )
| ( $true != $true ) )
| spl14_3
| ~ spl14_9 ),
inference(superposition,[status(thm)],[f1317,f712]) ).
thf(f1317,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ X0 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK11 ) ) )
| spl14_3 ),
inference(trivial_inequality_removal,[status(thm)],[f1313]) ).
thf(f1313,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK11 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ X0 ) )
| ( $true != $true ) )
| spl14_3 ),
inference(superposition,[status(thm)],[f684,f379]) ).
thf(f684,plain,
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11 ) )
| spl14_3 ),
inference(avatar_component_clause,[status(thm)],[f683]) ).
thf(f4393,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12 ) )
| ~ spl14_27 ),
inference(avatar_component_clause,[status(thm)],[f4392]) ).
thf(f4582,plain,
( spl14_32
| ~ spl14_27 ),
inference(avatar_split_clause,[status(thm)],[f4577,f4392,f4579]) ).
thf(f4579,definition,
( spl14_32
<=> ( sK12
= ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) ) ),
introduced(definition,[new_symbols(naming,[spl14_32])],[avatar_definition]) ).
thf(f4577,plain,
( ( sK12
= ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) )
| ~ spl14_27 ),
inference(forward_demodulation,[status(thm)],[f4569,f3160]) ).
thf(f3160,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X0 @ X1 )
= X0 ),
inference(forward_demodulation,[status(thm)],[f3142,f411]) ).
thf(f3142,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X0 @ X1 )
= ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X0 ) ) ) ),
inference(superposition,[status(thm)],[f411,f2316]) ).
thf(f2316,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X0 @ X1 ) ) )
= ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X0 ) ) ),
inference(superposition,[status(thm)],[f319,f465]) ).
thf(f465,plain,
! [X2: u,X0: d,X1: u] :
( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ X0 @ X1 ) @ ( s @ X0 @ X2 ) ) )
= ( s @ X0 @ X1 ) ),
inference(definition_unfolding,[status(thm)],[f316,f315]) ).
thf(f316,plain,
! [X2: u,X0: d,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 ) ),
inference(cnf_transformation,[status(thm)],[f221]) ).
thf(f4569,plain,
( ( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ sK12 @ sK13 )
= ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) )
| ~ spl14_27 ),
inference(superposition,[status(thm)],[f456,f4393]) ).
thf(f4466,plain,
( ( ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 )
!= sK13 )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11 ) ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f4395,plain,
( ~ spl14_27
| spl14_24
| ~ spl14_26 ),
inference(avatar_split_clause,[status(thm)],[f4386,f3262,f3215,f4392]) ).
thf(f3215,definition,
( spl14_24
<=> ( sK11
= ( mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11 ) ) ),
introduced(definition,[new_symbols(naming,[spl14_24])],[avatar_definition]) ).
thf(f3262,definition,
( spl14_26
<=> ( sK11
= ( mono_2Ec_2Eextreal_2Eextreal__max @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 ) ) ),
introduced(definition,[new_symbols(naming,[spl14_26])],[avatar_definition]) ).
thf(f4386,plain,
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12 ) )
| spl14_24
| ~ spl14_26 ),
inference(trivial_inequality_removal,[status(thm)],[f4378]) ).
thf(f4378,plain,
( ( $true != $true )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12 ) )
| spl14_24
| ~ spl14_26 ),
inference(superposition,[status(thm)],[f4319,f939]) ).
thf(f939,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X0 ) ),
inference(trivial_inequality_removal,[status(thm)],[f936]) ).
thf(f936,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true != $true )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X0 ) ) ),
inference(equality_factoring,[status(thm)],[f404]) ).
thf(f4319,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ X0 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK12 ) ) )
| spl14_24
| ~ spl14_26 ),
inference(subsumption_resolution,[status(thm)],[f4314,f3216]) ).
thf(f3216,plain,
( ( sK11
!= ( mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11 ) )
| spl14_24 ),
inference(avatar_component_clause,[status(thm)],[f3215]) ).
thf(f4314,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK12 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ X0 ) )
| ( sK11
= ( mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11 ) ) )
| ~ spl14_26 ),
inference(superposition,[status(thm)],[f3264,f4307]) ).
thf(f4307,plain,
! [X2: mono_2Etyop_2Eextreal_2Eextreal,X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ X1 )
= X1 )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 ) )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1 )
!= $true ) ),
inference(forward_demodulation,[status(thm)],[f1337,f3160]) ).
thf(f1337,plain,
! [X2: mono_2Etyop_2Eextreal_2Eextreal,X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 ) )
| ( ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ X1 )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X1 @ X0 ) )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1 )
!= $true ) ),
inference(superposition,[status(thm)],[f456,f379]) ).
thf(f3264,plain,
( ( sK11
= ( mono_2Ec_2Eextreal_2Eextreal__max @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 ) )
| ~ spl14_26 ),
inference(avatar_component_clause,[status(thm)],[f3262]) ).
thf(f3609,plain,
~ spl14_6,
inference(avatar_contradiction_clause,[status(thm)],[f3608]) ).
thf(f3608,plain,
( $false
| ~ spl14_6 ),
inference(subsumption_resolution,[status(thm)],[f3607,f698]) ).
thf(f698,plain,
( ! [X0: $o] : ( $false = X0 )
| ~ spl14_6 ),
inference(avatar_component_clause,[status(thm)],[f697]) ).
thf(f697,definition,
( spl14_6
<=> ! [X0: $o] : ( $false = X0 ) ),
introduced(definition,[new_symbols(naming,[spl14_6])],[avatar_definition]) ).
thf(f3607,plain,
( ! [X2: $o,X0: $o,X1: $o] :
( ( sP3 @ X0 @ X2 @ X1 )
!= $false )
| ~ spl14_6 ),
inference(forward_demodulation,[status(thm)],[f3479,f698]) ).
thf(f3479,plain,
( ! [X2: $o,X0: $o,X1: $o] :
( ( sP3 @ X0 @ X2 @ X1 )
!= $true )
| ~ spl14_6 ),
inference(trivial_inequality_removal,[status(thm)],[f3291]) ).
thf(f3291,plain,
( ! [X2: $o,X0: $o,X1: $o] :
( ( $true = $false )
| ( ( sP3 @ X0 @ X2 @ X1 )
!= $true ) )
| ~ spl14_6 ),
inference(superposition,[status(thm)],[f287,f698]) ).
thf(f287,plain,
! [X2: $o,X0: $o,X1: $o] :
( ( $true
= ( sP1 @ X2 @ X0 @ X1 ) )
| ( $true
!= ( sP3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f208]) ).
thf(f208,plain,
! [X0: $o,X1: $o,X2: $o] :
( ( ( $true
= ( sP3 @ X2 @ X1 @ X0 ) )
| ( ( $true != X0 )
& ( $true != ( ~ X1 ) )
& ( $true != ( ~ X2 ) ) )
| ( $true
!= ( sP2 @ X2 @ X0 @ X1 ) )
| ( $true
!= ( sP1 @ X2 @ X0 @ X1 ) )
| ( $true
!= ( sP0 @ X2 @ X1 @ X0 ) ) )
& ( ( ( ( $true = X0 )
| ( $true = ( ~ X1 ) )
| ( $true = ( ~ X2 ) ) )
& ( $true
= ( sP2 @ X2 @ X0 @ X1 ) )
& ( $true
= ( sP1 @ X2 @ X0 @ X1 ) )
& ( $true
= ( sP0 @ X2 @ X1 @ X0 ) ) )
| ( $true
!= ( sP3 @ X2 @ X1 @ X0 ) ) ) ),
inference(rectify,[status(thm)],[f207]) ).
thf(f207,plain,
! [X2: $o,X1: $o,X0: $o] :
( ( ( $true
= ( sP3 @ X0 @ X1 @ X2 ) )
| ( ( $true != X2 )
& ( $true != ( ~ X1 ) )
& ( $true != ( ~ X0 ) ) )
| ( $true
!= ( sP2 @ X0 @ X2 @ X1 ) )
| ( ( sP1 @ X0 @ X2 @ X1 )
!= $true )
| ( $true
!= ( sP0 @ X0 @ X1 @ X2 ) ) )
& ( ( ( ( $true = X2 )
| ( $true = ( ~ X1 ) )
| ( $true = ( ~ X0 ) ) )
& ( $true
= ( sP2 @ X0 @ X2 @ X1 ) )
& ( ( sP1 @ X0 @ X2 @ X1 )
= $true )
& ( $true
= ( sP0 @ X0 @ X1 @ X2 ) ) )
| ( $true
!= ( sP3 @ X0 @ X1 @ X2 ) ) ) ),
inference(flattening,[status(thm)],[f206]) ).
thf(f206,plain,
! [X2: $o,X1: $o,X0: $o] :
( ( ( $true
= ( sP3 @ X0 @ X1 @ X2 ) )
| ( ( $true != X2 )
& ( $true != ( ~ X1 ) )
& ( $true != ( ~ X0 ) ) )
| ( $true
!= ( sP2 @ X0 @ X2 @ X1 ) )
| ( ( sP1 @ X0 @ X2 @ X1 )
!= $true )
| ( $true
!= ( sP0 @ X0 @ X1 @ X2 ) ) )
& ( ( ( ( $true = X2 )
| ( $true = ( ~ X1 ) )
| ( $true = ( ~ X0 ) ) )
& ( $true
= ( sP2 @ X0 @ X2 @ X1 ) )
& ( ( sP1 @ X0 @ X2 @ X1 )
= $true )
& ( $true
= ( sP0 @ X0 @ X1 @ X2 ) ) )
| ( $true
!= ( sP3 @ X0 @ X1 @ X2 ) ) ) ),
inference(nnf_transformation,[status(thm)],[f195]) ).
thf(f195,plain,
! [X2: $o,X1: $o,X0: $o] :
( ( $true
= ( sP3 @ X0 @ X1 @ X2 ) )
<=> ( ( ( $true = X2 )
| ( $true = ( ~ X1 ) )
| ( $true = ( ~ X0 ) ) )
& ( $true
= ( sP2 @ X0 @ X2 @ X1 ) )
& ( ( sP1 @ X0 @ X2 @ X1 )
= $true )
& ( $true
= ( sP0 @ X0 @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction]) ).
thf(f3276,plain,
( ( sK11
!= ( mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11 ) )
| ( sK12
!= ( mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK11 @ sK12 ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f3275,plain,
( ( sK11
!= ( mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11 ) )
| ( sK12
!= ( mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11 ) )
| ( $false
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK11 @ sK12 ) )
| ( $true = $false ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f3265,plain,
( spl14_26
| ~ spl14_16 ),
inference(avatar_split_clause,[status(thm)],[f3260,f1350,f3262]) ).
thf(f1350,definition,
( spl14_16
<=> ( ( mono_2Ec_2Eextreal_2Eextreal__max @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ sK11 @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl14_16])],[avatar_definition]) ).
thf(f3260,plain,
( ( sK11
= ( mono_2Ec_2Eextreal_2Eextreal__max @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 ) )
| ~ spl14_16 ),
inference(forward_demodulation,[status(thm)],[f1352,f3160]) ).
thf(f1352,plain,
( ( ( mono_2Ec_2Eextreal_2Eextreal__max @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ sK11 @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) ) )
| ~ spl14_16 ),
inference(avatar_component_clause,[status(thm)],[f1350]) ).
thf(f1371,plain,
( spl14_14
| spl14_4 ),
inference(avatar_split_clause,[status(thm)],[f1368,f688,f953]) ).
thf(f953,definition,
( spl14_14
<=> ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK11 @ sK12 ) ) ),
introduced(definition,[new_symbols(naming,[spl14_14])],[avatar_definition]) ).
thf(f1368,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK11 @ sK12 ) )
| spl14_4 ),
inference(trivial_inequality_removal,[status(thm)],[f1365]) ).
thf(f1365,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK11 @ sK12 ) )
| ( $true != $true )
| spl14_4 ),
inference(superposition,[status(thm)],[f689,f404]) ).
thf(f1353,plain,
( spl14_16
| ~ spl14_2 ),
inference(avatar_split_clause,[status(thm)],[f1339,f679,f1350]) ).
thf(f679,definition,
( spl14_2
<=> ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 ) ) ),
introduced(definition,[new_symbols(naming,[spl14_2])],[avatar_definition]) ).
thf(f1339,plain,
( ( ( mono_2Ec_2Eextreal_2Eextreal__max @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ sK11 @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) ) )
| ~ spl14_2 ),
inference(superposition,[status(thm)],[f456,f681]) ).
thf(f681,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 ) )
| ~ spl14_2 ),
inference(avatar_component_clause,[status(thm)],[f679]) ).
thf(f729,plain,
spl14_9,
inference(avatar_split_clause,[status(thm)],[f672,f711]) ).
thf(f672,plain,
! [X0: $o] :
( ( $false = X0 )
| ( $true = X0 ) ),
inference(not_proxy_clausification,[status(thm)],[f542]) ).
thf(f542,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $true = ( ~ X0 ) ) ),
inference(equality_resolution,[status(thm)],[f376]) ).
thf(f376,plain,
! [X0: $o,X1: $o] :
( ( $true = X1 )
| ( $true = X0 )
| ( ( ~ X0 ) != X1 ) ),
inference(cnf_transformation,[status(thm)],[f243]) ).
thf(f243,plain,
! [X0: $o,X1: $o] :
( ( ( ( ( $true = X1 )
| ( $true = X0 ) )
& ( ( $true = ( ~ X0 ) )
| ( $true = ( ~ X1 ) ) ) )
| ( ( ~ X0 ) != X1 ) )
& ( ( ( ~ X0 ) = X1 )
| ( ( $true != X1 )
& ( $true != X0 ) )
| ( ( $true != ( ~ X0 ) )
& ( $true != ( ~ X1 ) ) ) ) ),
inference(rectify,[status(thm)],[f242]) ).
thf(f242,plain,
! [X1: $o,X0: $o] :
( ( ( ( ( $true = X0 )
| ( $true = X1 ) )
& ( ( $true = ( ~ X1 ) )
| ( $true = ( ~ X0 ) ) ) )
| ( ( ~ X1 ) != X0 ) )
& ( ( ( ~ X1 ) = X0 )
| ( ( $true != X0 )
& ( $true != X1 ) )
| ( ( $true != ( ~ X1 ) )
& ( $true != ( ~ X0 ) ) ) ) ),
inference(flattening,[status(thm)],[f241]) ).
thf(f241,plain,
! [X1: $o,X0: $o] :
( ( ( ( ( $true = X0 )
| ( $true = X1 ) )
& ( ( $true = ( ~ X1 ) )
| ( $true = ( ~ X0 ) ) ) )
| ( ( ~ X1 ) != X0 ) )
& ( ( ( ~ X1 ) = X0 )
| ( ( $true != X0 )
& ( $true != X1 ) )
| ( ( $true != ( ~ X1 ) )
& ( $true != ( ~ X0 ) ) ) ) ),
inference(nnf_transformation,[status(thm)],[f109]) ).
thf(f109,plain,
! [X1: $o,X0: $o] :
( ( ( ( $true = X0 )
| ( $true = X1 ) )
& ( ( $true = ( ~ X1 ) )
| ( $true = ( ~ X0 ) ) ) )
<=> ( ( ~ X1 ) = X0 ) ),
inference(fool_elimination,[status(thm)],[f108]) ).
thf(f108,plain,
! [X0: $o,X1: $o] :
( ( X0
<=> ~ X1 )
<=> ( ( ~ X0
| ~ X1 )
& ( X0
| X1 ) ) ),
inference(rectify,[status(thm)],[f76]) ).
thf(f76,axiom,
! [X35: $o,X34: $o] :
( ( X35
<=> ~ X34 )
<=> ( ( ~ X35
| ~ X34 )
& ( X35
| X34 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Esat_2Edc__neg) ).
thf(f718,plain,
( spl14_6
| ~ spl14_5 ),
inference(avatar_split_clause,[status(thm)],[f620,f693,f697]) ).
thf(f693,definition,
( spl14_5
<=> ( $true = $false ) ),
introduced(definition,[new_symbols(naming,[spl14_5])],[avatar_definition]) ).
thf(f620,plain,
! [X0: $o] :
( ( $true != $false )
| ( $false = X0 ) ),
inference(not_proxy_clausification,[status(thm)],[f619]) ).
thf(f619,plain,
! [X0: $o] :
( ( $true != $false )
| ( $true = ( ~ X0 ) ) ),
inference(boolean_simplification,[status(thm)],[f466]) ).
thf(f466,plain,
! [X0: $o] :
( ( $true != ( ~ $true ) )
| ( $true = ( ~ X0 ) ) ),
inference(definition_unfolding,[status(thm)],[f334,f458]) ).
thf(f334,plain,
! [X0: $o] :
( ( $true = ( ~ X0 ) )
| ( mono_2Ec_2Ebool_2EF != $true ) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
thf(f224,plain,
! [X0: $o] :
( ( ( $true = ( ~ X0 ) )
| ( ( mono_2Ec_2Ebool_2EF != $true )
& ( $true = X0 ) ) )
& ( ( mono_2Ec_2Ebool_2EF = $true )
| ( $true != X0 )
| ( $true != ( ~ X0 ) ) )
& ( ( $true = X0 )
| ( ( mono_2Ec_2Ebool_2ET = $true )
& ( $true != X0 ) ) )
& ( ( mono_2Ec_2Ebool_2ET != $true )
| ( $true = X0 )
| ( $true != X0 ) )
& ( ( mono_2Ec_2Ebool_2EF != $true )
| ( $true = X0 )
| ( mono_2Ec_2Ebool_2ET != $true ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
| ( ( mono_2Ec_2Ebool_2EF = $true )
& ( $true != X0 ) ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
| ( ( $true = X0 )
& ( mono_2Ec_2Ebool_2ET != $true ) ) )
& ( ( $true != X0 )
| ( mono_2Ec_2Ebool_2ET = $true )
| ( mono_2Ec_2Ebool_2ET != $true ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
| ( ( $true != X0 )
& ( $true = X0 ) ) )
& ( ( $true = X0 )
| ( $true != X0 )
| ( mono_2Ec_2Ebool_2ET != $true ) ) ),
inference(flattening,[status(thm)],[f223]) ).
thf(f223,plain,
! [X0: $o] :
( ( ( $true = ( ~ X0 ) )
| ( ( mono_2Ec_2Ebool_2EF != $true )
& ( $true = X0 ) ) )
& ( ( mono_2Ec_2Ebool_2EF = $true )
| ( $true != X0 )
| ( $true != ( ~ X0 ) ) )
& ( ( $true = X0 )
| ( ( mono_2Ec_2Ebool_2ET = $true )
& ( $true != X0 ) ) )
& ( ( mono_2Ec_2Ebool_2ET != $true )
| ( $true = X0 )
| ( $true != X0 ) )
& ( ( mono_2Ec_2Ebool_2EF != $true )
| ( $true = X0 )
| ( mono_2Ec_2Ebool_2ET != $true ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
| ( ( mono_2Ec_2Ebool_2EF = $true )
& ( $true != X0 ) ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
| ( ( $true = X0 )
& ( mono_2Ec_2Ebool_2ET != $true ) ) )
& ( ( $true != X0 )
| ( mono_2Ec_2Ebool_2ET = $true )
| ( mono_2Ec_2Ebool_2ET != $true ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
| ( ( $true != X0 )
& ( $true = X0 ) ) )
& ( ( $true = X0 )
| ( $true != X0 )
| ( mono_2Ec_2Ebool_2ET != $true ) ) ),
inference(nnf_transformation,[status(thm)],[f187]) ).
thf(f187,plain,
! [X0: $o] :
( ( ( $true = ( ~ X0 ) )
<=> ( ( mono_2Ec_2Ebool_2EF = $true )
| ( $true != X0 ) ) )
& ( ( $true = X0 )
<=> ( ( mono_2Ec_2Ebool_2ET != $true )
| ( $true = X0 ) ) )
& ( ( ( mono_2Ec_2Ebool_2EF != $true )
| ( $true = X0 ) )
<=> ( mono_2Ec_2Ebool_2ET = $true ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
<=> ( ( $true != X0 )
| ( mono_2Ec_2Ebool_2ET = $true ) ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
<=> ( ( $true = X0 )
| ( $true != X0 ) ) ) ),
inference(ennf_transformation,[status(thm)],[f121]) ).
thf(f121,plain,
! [X0: $o] :
( ( ( mono_2Ec_2Ebool_2ET = $true )
<=> ( ( mono_2Ec_2Ebool_2EF = $true )
=> ( $true = X0 ) ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
<=> ( ( $true = X0 )
=> ( mono_2Ec_2Ebool_2ET = $true ) ) )
& ( ( $true = X0 )
<=> ( ( mono_2Ec_2Ebool_2ET = $true )
=> ( $true = X0 ) ) )
& ( ( $true = ( ~ X0 ) )
<=> ( ( $true = X0 )
=> ( mono_2Ec_2Ebool_2EF = $true ) ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
<=> ( ( $true = X0 )
=> ( $true = X0 ) ) ) ),
inference(fool_elimination,[status(thm)],[f120]) ).
thf(f120,plain,
! [X0: $o] :
( ( ( mono_2Ec_2Ebool_2ET
=> X0 )
<=> X0 )
& ( ( X0
=> mono_2Ec_2Ebool_2EF )
<=> ~ X0 )
& ( mono_2Ec_2Ebool_2ET
<=> ( mono_2Ec_2Ebool_2EF
=> X0 ) )
& ( mono_2Ec_2Ebool_2ET
<=> ( X0
=> mono_2Ec_2Ebool_2ET ) )
& ( mono_2Ec_2Ebool_2ET
<=> ( X0
=> X0 ) ) ),
inference(rectify,[status(thm)],[f56]) ).
thf(f56,axiom,
! [X20: $o] :
( ( ( mono_2Ec_2Ebool_2ET
=> X20 )
<=> X20 )
& ( ( X20
=> mono_2Ec_2Ebool_2EF )
<=> ~ X20 )
& ( mono_2Ec_2Ebool_2ET
<=> ( mono_2Ec_2Ebool_2EF
=> X20 ) )
& ( mono_2Ec_2Ebool_2ET
<=> ( X20
=> mono_2Ec_2Ebool_2ET ) )
& ( mono_2Ec_2Ebool_2ET
<=> ( X20
=> X20 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Ebool_2EIMP__CLAUSES) ).
thf(f716,plain,
( ~ spl14_2
| ~ spl14_3
| ~ spl14_4 ),
inference(avatar_split_clause,[status(thm)],[f407,f688,f683,f679]) ).
thf(f407,plain,
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11 ) ) ),
inference(cnf_transformation,[status(thm)],[f264]) ).
thf(f264,plain,
( ( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 ) ) )
& ( ( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) )
& ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11 ) ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f262,f263]) ).
thf(f263,plain,
( ? [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
!= $true )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X2 @ X1 ) @ X0 ) ) )
& ( ( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) )
& ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
= $true ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X2 @ X1 ) @ X0 ) ) ) )
=> ( ( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 ) ) )
& ( ( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) )
& ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11 ) ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f262,plain,
? [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
!= $true )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X2 @ X1 ) @ X0 ) ) )
& ( ( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) )
& ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
= $true ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X2 @ X1 ) @ X0 ) ) ) ),
inference(rectify,[status(thm)],[f261]) ).
thf(f261,plain,
? [X0: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
!= $true )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) @ X0 ) ) )
& ( ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
= $true )
& ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) @ X0 ) ) ) ),
inference(flattening,[status(thm)],[f260]) ).
thf(f260,plain,
? [X0: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
!= $true )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) @ X0 ) ) )
& ( ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
= $true )
& ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) @ X0 ) ) ) ),
inference(nnf_transformation,[status(thm)],[f190]) ).
thf(f190,plain,
? [X0: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) @ X0 ) )
<~> ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
= $true )
& ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) ) ) ),
inference(ennf_transformation,[status(thm)],[f129]) ).
thf(f129,plain,
~ ! [X2: mono_2Etyop_2Eextreal_2Eextreal,X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
= $true )
& ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) ) )
<=> ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) @ X0 ) ) ),
inference(fool_elimination,[status(thm)],[f128]) ).
thf(f128,plain,
~ ! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) @ X0 )
<=> ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
& ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) ) ),
inference(rectify,[status(thm)],[f78]) ).
thf(f78,negated_conjecture,
~ ! [X36: mono_2Etyop_2Eextreal_2Eextreal,X37: mono_2Etyop_2Eextreal_2Eextreal,X38: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X37 @ X38 ) @ X36 )
<=> ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X38 @ X36 )
& ( mono_2Ec_2Eextreal_2Eextreal__le @ X37 @ X36 ) ) ),
inference(negated_conjecture,[status(cth)],[f77]) ).
thf(f77,conjecture,
! [X36: mono_2Etyop_2Eextreal_2Eextreal,X37: mono_2Etyop_2Eextreal_2Eextreal,X38: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X37 @ X38 ) @ X36 )
<=> ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X38 @ X36 )
& ( mono_2Ec_2Eextreal_2Eextreal__le @ X37 @ X36 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Eextreal_2Emax__le) ).
thf(f691,plain,
( spl14_4
| spl14_2 ),
inference(avatar_split_clause,[status(thm)],[f406,f679,f688]) ).
thf(f406,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11 ) ) ),
inference(cnf_transformation,[status(thm)],[f264]) ).
thf(f686,plain,
( spl14_2
| spl14_3 ),
inference(avatar_split_clause,[status(thm)],[f405,f683,f679]) ).
thf(f405,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11 ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12 ) @ sK11 ) ) ),
inference(cnf_transformation,[status(thm)],[f264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP021^1 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.35 % Computer : n002.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Tue Feb 24 08:22:33 EST 2026
% 0.18/0.35 % CPUTime :
% 0.18/0.35 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.26/0.50 ---- Original DTF file ---
% 0.26/0.50 thf(spec,logic,$$dhol).
% 0.26/0.50 %------------------------------------------------------------------------------
% 0.26/0.50 % File : ITP021^1 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.26/0.50 % Domain : Interactive Theorem Proving
% 0.26/0.50 % Problem : HOL4 syntactic export of thm_2Eextreal_2Emax__le.p, bushy mode
% 0.26/0.50 % Version : [BG+19] axioms.
% 0.26/0.50 % English :
% 0.26/0.50
% 0.26/0.50 % Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% 0.26/0.50 % : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% 0.26/0.50 % Source : [BG+19]
% 0.26/0.50 % Names : thm_2Eextreal_2Emax__le.p [Gau19]
% 0.26/0.50 % : HL410001^1.p [TPAP]
% 0.26/0.50
% 0.26/0.50 % Status : Theorem
% 0.26/0.50 % Rating : 0.56 v9.1.0, 0.62 v9.0.0, 0.60 v8.2.0, 0.54 v8.1.0, 0.55 v7.5.0
% 0.26/0.50 % Syntax : Number of formulae : 145 ( 48 unt; 68 typ; 0 def)
% 0.26/0.50 % Number of atoms : 163 ( 55 equ; 45 cnn)
% 0.26/0.50 % Maximal formula atoms : 8 ( 2 avg)
% 0.26/0.50 % Number of connectives : 991 ( 45 ~; 36 |; 27 &; 813 @)
% 0.26/0.50 % ( 39 <=>; 31 =>; 0 <=; 0 <~>)
% 0.26/0.50 % Maximal formula depth : 17 ( 5 avg)
% 0.26/0.50 % Number of types : 5 ( 4 usr)
% 0.26/0.50 % Number of type conns : 147 ( 147 >; 0 *; 0 +; 0 <<)
% 0.26/0.50 % Number of symbols : 66 ( 64 usr; 20 con; 0-4 aty)
% 0.26/0.50 % Number of variables : 146 ( 0 ^; 145 !; 1 ?; 146 :)
% 0.26/0.50 % SPC : TH0_THM_EQU_NAR
% 0.26/0.50
% 0.26/0.50 % Comments :
% 0.26/0.50 % Bugfixes : v7.5.0 - Bugfixes in axioms and export.
% 0.26/0.50 %------------------------------------------------------------------------------
% 0.26/0.50 thf(u,type,
% 0.26/0.50 u: $tType ).
% 0.26/0.50
% 0.26/0.50 thf(d,type,
% 0.26/0.50 d: $tType ).
% 0.26/0.50
% 0.26/0.50 thf(du,type,
% 0.26/0.50 du: $tType ).
% 0.26/0.50
% 0.26/0.50 thf(mono_2Etyop_2Eextreal_2Eextreal,type,
% 0.26/0.50 mono_2Etyop_2Eextreal_2Eextreal: $tType ).
% 0.26/0.50
% 0.26/0.50 thf(tyop_2Eextreal_2Eextreal,type,
% 0.26/0.50 tyop_2Eextreal_2Eextreal: d ).
% 0.26/0.50
% 0.26/0.50 thf(tyop_2Emin_2Ebool,type,
% 0.26/0.50 tyop_2Emin_2Ebool: d ).
% 0.26/0.50
% 0.26/0.50 thf(tyop_2Emin_2Efun,type,
% 0.26/0.50 tyop_2Emin_2Efun: d > d > d ).
% 0.26/0.50
% 0.26/0.50 thf(s,type,
% 0.26/0.50 s: d > u > du ).
% 0.26/0.50
% 0.26/0.50 thf(app_2E2,type,
% 0.26/0.50 app_2E2: du > du > u ).
% 0.26/0.50
% 0.26/0.50 thf(combin_i_2E0,type,
% 0.26/0.50 combin_i_2E0: u ).
% 0.26/0.50
% 0.26/0.50 thf(combin_k_2E0,type,
% 0.26/0.50 combin_k_2E0: u ).
% 0.26/0.50
% 0.26/0.50 thf(combin_s_2E0,type,
% 0.26/0.50 combin_s_2E0: u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Ebool_2E_21_2E0,type,
% 0.26/0.50 c_2Ebool_2E_21_2E0: u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Ebool_2E_21_2E1,type,
% 0.26/0.50 c_2Ebool_2E_21_2E1: du > u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Ebool_2E_2F_5C_2E0,type,
% 0.26/0.50 c_2Ebool_2E_2F_5C_2E0: u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Ebool_2E_2F_5C_2E2,type,
% 0.26/0.50 c_2Ebool_2E_2F_5C_2E2: du > du > u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Emin_2E_3D_2E0,type,
% 0.26/0.50 c_2Emin_2E_3D_2E0: u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Emin_2E_3D_2E2,type,
% 0.26/0.50 c_2Emin_2E_3D_2E2: du > du > u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Emin_2E_3D_3D_3E_2E0,type,
% 0.26/0.50 c_2Emin_2E_3D_3D_3E_2E0: u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Emin_2E_3D_3D_3E_2E2,type,
% 0.26/0.50 c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Ebool_2E_3F_2E0,type,
% 0.26/0.50 c_2Ebool_2E_3F_2E0: u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Ebool_2E_3F_2E1,type,
% 0.26/0.50 c_2Ebool_2E_3F_2E1: du > u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Ebool_2ECOND_2E0,type,
% 0.26/0.50 c_2Ebool_2ECOND_2E0: u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Ebool_2ECOND_2E3,type,
% 0.26/0.50 c_2Ebool_2ECOND_2E3: du > du > du > u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Ebool_2EF_2E0,type,
% 0.26/0.50 c_2Ebool_2EF_2E0: u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Ebool_2ET_2E0,type,
% 0.26/0.50 c_2Ebool_2ET_2E0: u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Ebool_2E_5C_2F_2E0,type,
% 0.26/0.50 c_2Ebool_2E_5C_2F_2E0: u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Ebool_2E_5C_2F_2E2,type,
% 0.26/0.50 c_2Ebool_2E_5C_2F_2E2: du > du > u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Eextreal_2Eextreal__le_2E0,type,
% 0.26/0.50 c_2Eextreal_2Eextreal__le_2E0: u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Eextreal_2Eextreal__le_2E2,type,
% 0.26/0.50 c_2Eextreal_2Eextreal__le_2E2: du > du > u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Eextreal_2Eextreal__max_2E0,type,
% 0.26/0.50 c_2Eextreal_2Eextreal__max_2E0: u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Eextreal_2Eextreal__max_2E2,type,
% 0.26/0.50 c_2Eextreal_2Eextreal__max_2E2: du > du > u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Ebool_2E_7E_2E0,type,
% 0.26/0.50 c_2Ebool_2E_7E_2E0: u ).
% 0.26/0.50
% 0.26/0.50 thf(c_2Ebool_2E_7E_2E1,type,
% 0.26/0.50 c_2Ebool_2E_7E_2E1: du > u ).
% 0.26/0.50
% 0.26/0.50 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
% 0.26/0.50 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
% 0.26/0.50
% 0.26/0.50 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.50 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
% 0.26/0.50
% 0.26/0.50 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
% 0.26/0.50 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: ( $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.50
% 0.26/0.50 thf(mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool,type,
% 0.26/0.50 mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 0.26/0.50
% 0.26/0.50 thf(mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,type,
% 0.26/0.50 mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.50
% 0.26/0.50 thf(mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.50 mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 0.26/0.50
% 0.26/0.50 thf(mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,type,
% 0.26/0.50 mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.50
% 0.26/0.50 thf(mono_2Ec_2Ebool_2E_2F_5C,type,
% 0.26/0.50 mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
% 0.26/0.50
% 0.26/0.50 thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
% 0.26/0.50 mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 0.26/0.50
% 0.26/0.50 thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal,type,
% 0.26/0.50 mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal: $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.50
% 0.26/0.50 thf(mono_2Ec_2Ebool_2EF,type,
% 0.26/0.50 mono_2Ec_2Ebool_2EF: $o ).
% 0.26/0.50
% 0.26/0.50 thf(mono_2Ec_2Ebool_2ET,type,
% 0.26/0.50 mono_2Ec_2Ebool_2ET: $o ).
% 0.26/0.50
% 0.26/0.50 thf(mono_2Ec_2Ebool_2E_5C_2F,type,
% 0.26/0.50 mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
% 0.26/0.50
% 0.26/0.50 thf(mono_2Ec_2Eextreal_2Eextreal__le,type,
% 0.26/0.50 mono_2Ec_2Eextreal_2Eextreal__le: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 0.26/0.50
% 0.26/0.50 thf(mono_2Ec_2Eextreal_2Eextreal__max,type,
% 0.26/0.50 mono_2Ec_2Eextreal_2Eextreal__max: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.50
% 0.26/0.50 thf(mono_2Ec_2Ebool_2E_7E,type,
% 0.26/0.50 mono_2Ec_2Ebool_2E_7E: $o > $o ).
% 0.26/0.50
% 0.26/0.50 thf(i_mono_2Etyop_2Emin_2Ebool,type,
% 0.26/0.50 i_mono_2Etyop_2Emin_2Ebool: $o > u ).
% 0.26/0.50
% 0.26/0.50 thf(i_mono_2Etyop_2Eextreal_2Eextreal,type,
% 0.26/0.50 i_mono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Eextreal_2Eextreal > u ).
% 0.26/0.50
% 0.26/0.50 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.50 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
% 0.26/0.50
% 0.26/0.50 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.50 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
% 0.26/0.50
% 0.26/0.50 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
% 0.26/0.50 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: ( $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > u ).
% 0.26/0.50
% 0.26/0.50 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.50 i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > u ).
% 0.26/0.50
% 0.26/0.50 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,type,
% 0.26/0.50 i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > u ).
% 0.26/0.50
% 0.26/0.50 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.50 i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ) > u ).
% 0.26/0.50
% 0.26/0.50 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
% 0.26/0.50 i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > u ).
% 0.26/0.50
% 0.26/0.50 thf(j_mono_2Etyop_2Emin_2Ebool,type,
% 0.26/0.50 j_mono_2Etyop_2Emin_2Ebool: du > $o ).
% 0.26/0.50
% 0.26/0.50 thf(j_mono_2Etyop_2Eextreal_2Eextreal,type,
% 0.26/0.50 j_mono_2Etyop_2Eextreal_2Eextreal: du > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.50
% 0.26/0.50 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.50 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
% 0.26/0.50
% 0.26/0.50 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.50 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
% 0.26/0.50
% 0.26/0.50 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
% 0.26/0.50 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: du > $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.50
% 0.26/0.50 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.50 j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 0.26/0.50
% 0.26/0.50 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,type,
% 0.26/0.50 j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.50
% 0.26/0.50 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.50 j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 0.26/0.50
% 0.26/0.50 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
% 0.26/0.50 j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.50
% 0.26/0.50 thf(reserved_2Eho_2Eeq__ext,axiom,
% 0.26/0.50 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
% 0.26/0.50 ( ! [V2x_2E0: u] :
% 0.26/0.50 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 0.26/0.50 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 0.26/0.50 => ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
% 0.26/0.50 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(reserved_2Eho_2Ei__thm,axiom,
% 0.26/0.50 ! [A_27a: d,V0x_2E0: u] :
% 0.26/0.50 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
% 0.26/0.50 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(reserved_2Eho_2Ek__thm,axiom,
% 0.26/0.50 ! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
% 0.26/0.50 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) ) @ combin_k_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) ) @ ( s @ A_27b @ V1y_2E0 ) ) )
% 0.26/0.50 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(reserved_2Eho_2Es__thm,axiom,
% 0.26/0.50 ! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
% 0.26/0.50 ( ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 0.26/0.50 = ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(reserved_2Elogic_2E_2F_5C,axiom,
% 0.26/0.50 ! [V0: $o,V1: $o] :
% 0.26/0.50 ( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
% 0.26/0.50 <=> ( V0
% 0.26/0.50 & V1 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(reserved_2Elogic_2E_5C_2F,axiom,
% 0.26/0.50 ! [V0: $o,V1: $o] :
% 0.26/0.50 ( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
% 0.26/0.50 <=> ( V0
% 0.26/0.50 | V1 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(reserved_2Elogic_2E_7E,axiom,
% 0.26/0.50 ! [V0: $o] :
% 0.26/0.50 ( ( mono_2Ec_2Ebool_2E_7E @ V0 )
% 0.26/0.50 <=> ( (~) @ V0 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
% 0.26/0.50 ! [V0: $o,V1: $o] :
% 0.26/0.50 ( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 0.26/0.50 <=> ( V0
% 0.26/0.50 => V1 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(reserved_2Elogic_2E_3D,axiom,
% 0.26/0.50 ! [A_27a: d,V0_2E0: u,V1_2E0: u] :
% 0.26/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
% 0.26/0.50 <=> ( ( s @ A_27a @ V0_2E0 )
% 0.26/0.50 = ( s @ A_27a @ V1_2E0 ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(reserved_2Equant_2E_21,axiom,
% 0.26/0.50 ! [A_27a: d,V0f_2E0: u] :
% 0.26/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
% 0.26/0.50 <=> ! [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(reserved_2Equant_2E_3F,axiom,
% 0.26/0.50 ! [A_27a: d,V0f_2E0: u] :
% 0.26/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
% 0.26/0.50 <=> ? [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.50 ! [V0_2E0: u] :
% 0.26/0.50 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
% 0.26/0.50 = ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(ij_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.50 ! [V0_2E0: u] :
% 0.26/0.50 ( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ V0_2E0 ) ) ) )
% 0.26/0.50 = ( s @ tyop_2Eextreal_2Eextreal @ V0_2E0 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.50 ! [V0_2E0: u] :
% 0.26/0.50 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 0.26/0.50 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.50 ! [V0_2E0: u] :
% 0.26/0.50 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 0.26/0.50 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
% 0.26/0.50 ! [V0_2E0: u] :
% 0.26/0.50 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) ) @ V0_2E0 ) ) ) )
% 0.26/0.50 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) ) @ V0_2E0 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.50 ! [V0_2E0: u] :
% 0.26/0.50 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 0.26/0.50 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 0.26/0.50 ! [V0_2E0: u] :
% 0.26/0.50 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ V0_2E0 ) ) ) )
% 0.26/0.50 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ V0_2E0 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.50 ! [V0_2E0: u] :
% 0.26/0.50 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 0.26/0.50 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
% 0.26/0.50 ! [V0_2E0: u] :
% 0.26/0.50 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ V0_2E0 ) ) ) )
% 0.26/0.50 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ V0_2E0 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.50 ! [V0: $o] :
% 0.26/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
% 0.26/0.50 = V0 ) ).
% 0.26/0.50
% 0.26/0.50 thf(ji_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.50 ! [V0: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.50 ( ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V0 ) ) )
% 0.26/0.50 = V0 ) ).
% 0.26/0.50
% 0.26/0.50 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.50 ! [V0: $o > $o] :
% 0.26/0.50 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 0.26/0.50 = V0 ) ).
% 0.26/0.50
% 0.26/0.50 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.50 ! [V0: $o > $o > $o] :
% 0.26/0.50 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 0.26/0.50 = V0 ) ).
% 0.26/0.50
% 0.26/0.50 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
% 0.26/0.50 ! [V0: $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.50 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @ V0 ) ) )
% 0.26/0.50 = V0 ) ).
% 0.26/0.50
% 0.26/0.50 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.50 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > $o] :
% 0.26/0.50 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 0.26/0.50 = V0 ) ).
% 0.26/0.50
% 0.26/0.50 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 0.26/0.50 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.50 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ V0 ) ) )
% 0.26/0.50 = V0 ) ).
% 0.26/0.50
% 0.26/0.50 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.50 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o] :
% 0.26/0.50 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 0.26/0.50 = V0 ) ).
% 0.26/0.50
% 0.26/0.50 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
% 0.26/0.50 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.50 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @ V0 ) ) )
% 0.26/0.50 = V0 ) ).
% 0.26/0.50
% 0.26/0.50 thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
% 0.26/0.50 ! [A_27a: d,X0_2E0: u] :
% 0.26/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
% 0.26/0.50 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
% 0.26/0.50 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 0.26/0.50 ( ( ( s @ A_27a @ X0_2E0 )
% 0.26/0.50 = ( s @ A_27a @ X1_2E0 ) )
% 0.26/0.50 <=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
% 0.26/0.50 ! [A_27a: d,X0_2E0: u] :
% 0.26/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
% 0.26/0.50 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_3F_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a,axiom,
% 0.26/0.50 ! [A_27a: d,X0: $o,X1_2E0: u,X2_2E0: u] :
% 0.26/0.50 ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ A_27a @ X1_2E0 ) @ ( s @ A_27a @ X2_2E0 ) ) )
% 0.26/0.50 = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.50 ! [V0: $o > $o,V1: $o] :
% 0.26/0.50 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 0.26/0.50 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.50 ! [V0: $o > $o > $o,V1: $o] :
% 0.26/0.50 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.26/0.50 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
% 0.26/0.50 ! [V0: $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal,V1: $o] :
% 0.26/0.50 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @ ( V0 @ V1 ) ) )
% 0.26/0.50 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.50 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > $o,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.50 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 0.26/0.50 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V1 ) ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.50 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.50 ( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( V0 @ V1 ) ) )
% 0.26/0.50 = ( s @ tyop_2Eextreal_2Eextreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ V0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V1 ) ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.50 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.50 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.26/0.50 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V1 ) ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 0.26/0.50 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.50 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ ( V0 @ V1 ) ) )
% 0.26/0.50 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @ V0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V1 ) ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.50 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal ) )
% 0.26/0.50 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.50 ! [V0: $o,V1: mono_2Etyop_2Eextreal_2Eextreal,V2: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.50 ( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ V0 @ V1 @ V2 ) ) )
% 0.26/0.50 = ( s @ tyop_2Eextreal_2Eextreal @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V1 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V2 ) ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.50 ! [V0: $o > $o,V1: $o] :
% 0.26/0.50 ( ( V0 @ V1 )
% 0.26/0.50 = ( V0 @ V1 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.50 ! [V0: $o > $o > $o,V1: $o] :
% 0.26/0.50 ( ( V0 @ V1 )
% 0.26/0.50 = ( V0 @ V1 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
% 0.26/0.50 ! [V0: $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal,V1: $o] :
% 0.26/0.50 ( ( V0 @ V1 )
% 0.26/0.50 = ( V0 @ V1 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.50 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > $o,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.50 ( ( V0 @ V1 )
% 0.26/0.50 = ( V0 @ V1 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.50 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.50 ( ( V0 @ V1 )
% 0.26/0.50 = ( V0 @ V1 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.50 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.50 ( ( V0 @ V1 )
% 0.26/0.50 = ( V0 @ V1 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 0.26/0.50 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.50 ( ( V0 @ V1 )
% 0.26/0.50 = ( V0 @ V1 ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Ebool_2ETRUTH,axiom,
% 0.26/0.50 mono_2Ec_2Ebool_2ET ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Ebool_2EIMP__ANTISYM__AX,axiom,
% 0.26/0.50 ! [V0t1: $o,V1t2: $o] :
% 0.26/0.50 ( ( V0t1
% 0.26/0.50 => V1t2 )
% 0.26/0.50 => ( ( V1t2
% 0.26/0.50 => V0t1 )
% 0.26/0.50 => ( V0t1 = V1t2 ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Ebool_2EFALSITY,axiom,
% 0.26/0.50 ! [V0t: $o] :
% 0.26/0.50 ( mono_2Ec_2Ebool_2EF
% 0.26/0.50 => V0t ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Ebool_2EEXCLUDED__MIDDLE,axiom,
% 0.26/0.50 ! [V0t: $o] :
% 0.26/0.50 ( V0t
% 0.26/0.50 | ( (~) @ V0t ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Ebool_2EIMP__F,axiom,
% 0.26/0.50 ! [V0t: $o] :
% 0.26/0.50 ( ( V0t
% 0.26/0.50 => mono_2Ec_2Ebool_2EF )
% 0.26/0.50 => ( (~) @ V0t ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Ebool_2EF__IMP,axiom,
% 0.26/0.50 ! [V0t: $o] :
% 0.26/0.50 ( ( (~) @ V0t )
% 0.26/0.50 => ( V0t
% 0.26/0.50 => mono_2Ec_2Ebool_2EF ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Ebool_2EIMP__CLAUSES,axiom,
% 0.26/0.50 ! [V0t: $o] :
% 0.26/0.50 ( ( ( mono_2Ec_2Ebool_2ET
% 0.26/0.50 => V0t )
% 0.26/0.50 <=> V0t )
% 0.26/0.50 & ( ( V0t
% 0.26/0.50 => mono_2Ec_2Ebool_2ET )
% 0.26/0.50 <=> mono_2Ec_2Ebool_2ET )
% 0.26/0.50 & ( ( mono_2Ec_2Ebool_2EF
% 0.26/0.50 => V0t )
% 0.26/0.50 <=> mono_2Ec_2Ebool_2ET )
% 0.26/0.50 & ( ( V0t
% 0.26/0.50 => V0t )
% 0.26/0.50 <=> mono_2Ec_2Ebool_2ET )
% 0.26/0.50 & ( ( V0t
% 0.26/0.50 => mono_2Ec_2Ebool_2EF )
% 0.26/0.50 <=> ( (~) @ V0t ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Ebool_2ENOT__CLAUSES,axiom,
% 0.26/0.50 ( ! [V0t: $o] :
% 0.26/0.50 ( ( (~) @ ( (~) @ V0t ) )
% 0.26/0.50 <=> V0t )
% 0.26/0.50 & ( ( (~) @ mono_2Ec_2Ebool_2ET )
% 0.26/0.50 <=> mono_2Ec_2Ebool_2EF )
% 0.26/0.50 & ( ( (~) @ mono_2Ec_2Ebool_2EF )
% 0.26/0.50 <=> mono_2Ec_2Ebool_2ET ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Ebool_2EEQ__SYM__EQ,axiom,
% 0.26/0.50 ! [A_27a: d,V0x_2E0: u,V1y_2E0: u] :
% 0.26/0.50 ( ( ( s @ A_27a @ V0x_2E0 )
% 0.26/0.50 = ( s @ A_27a @ V1y_2E0 ) )
% 0.26/0.50 <=> ( ( s @ A_27a @ V1y_2E0 )
% 0.26/0.50 = ( s @ A_27a @ V0x_2E0 ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 0.26/0.50 ! [V0t: $o] :
% 0.26/0.50 ( ( ( mono_2Ec_2Ebool_2ET = V0t )
% 0.26/0.50 <=> V0t )
% 0.26/0.50 & ( ( V0t = mono_2Ec_2Ebool_2ET )
% 0.26/0.50 <=> V0t )
% 0.26/0.50 & ( ( mono_2Ec_2Ebool_2EF = V0t )
% 0.26/0.50 <=> ( (~) @ V0t ) )
% 0.26/0.50 & ( ( V0t = mono_2Ec_2Ebool_2EF )
% 0.26/0.50 <=> ( (~) @ V0t ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Ebool_2ECOND__CLAUSES,axiom,
% 0.26/0.50 ! [A_27a: d,V0t1_2E0: u,V1t2_2E0: u] :
% 0.26/0.50 ( ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
% 0.26/0.50 = ( s @ A_27a @ V0t1_2E0 ) )
% 0.26/0.50 & ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
% 0.26/0.50 = ( s @ A_27a @ V1t2_2E0 ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Ebool_2EDISJ__ASSOC,axiom,
% 0.26/0.50 ! [V0A: $o,V1B: $o,V2C: $o] :
% 0.26/0.50 ( ( V0A
% 0.26/0.50 | V1B
% 0.26/0.50 | V2C )
% 0.26/0.50 <=> ( V0A
% 0.26/0.50 | V1B
% 0.26/0.50 | V2C ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Ebool_2EDISJ__SYM,axiom,
% 0.26/0.50 ! [V0A: $o,V1B: $o] :
% 0.26/0.50 ( ( V0A
% 0.26/0.50 | V1B )
% 0.26/0.50 <=> ( V1B
% 0.26/0.50 | V0A ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Ebool_2EDE__MORGAN__THM,axiom,
% 0.26/0.50 ! [V0A: $o,V1B: $o] :
% 0.26/0.50 ( ( ( (~)
% 0.26/0.50 @ ( V0A
% 0.26/0.50 & V1B ) )
% 0.26/0.50 <=> ( ( (~) @ V0A )
% 0.26/0.50 | ( (~) @ V1B ) ) )
% 0.26/0.50 & ( ( (~)
% 0.26/0.50 @ ( V0A
% 0.26/0.50 | V1B ) )
% 0.26/0.50 <=> ( ( (~) @ V0A )
% 0.26/0.50 & ( (~) @ V1B ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Eextreal_2Ele__trans,axiom,
% 0.26/0.50 ! [V0x: mono_2Etyop_2Eextreal_2Eextreal,V1y: mono_2Etyop_2Eextreal_2Eextreal,V2z: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.50 ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ V0x @ V1y )
% 0.26/0.50 & ( mono_2Ec_2Eextreal_2Eextreal__le @ V1y @ V2z ) )
% 0.26/0.50 => ( mono_2Ec_2Eextreal_2Eextreal__le @ V0x @ V2z ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Eextreal_2Ele__total,axiom,
% 0.26/0.50 ! [V0x: mono_2Etyop_2Eextreal_2Eextreal,V1y: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.50 ( ( mono_2Ec_2Eextreal_2Eextreal__le @ V0x @ V1y )
% 0.26/0.50 | ( mono_2Ec_2Eextreal_2Eextreal__le @ V1y @ V0x ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Eextreal_2Eextreal__max__def,axiom,
% 0.26/0.50 ! [V0x: mono_2Etyop_2Eextreal_2Eextreal,V1y: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.50 ( ( mono_2Ec_2Eextreal_2Eextreal__max @ V0x @ V1y )
% 0.26/0.50 = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Eextreal_2Eextreal__le @ V0x @ V1y ) @ V1y @ V0x ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Esat_2ENOT__NOT,axiom,
% 0.26/0.50 ! [V0t: $o] :
% 0.26/0.50 ( ( (~) @ ( (~) @ V0t ) )
% 0.26/0.50 <=> V0t ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Esat_2EAND__INV__IMP,axiom,
% 0.26/0.50 ! [V0A: $o] :
% 0.26/0.50 ( V0A
% 0.26/0.50 => ( ( (~) @ V0A )
% 0.26/0.50 => mono_2Ec_2Ebool_2EF ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Esat_2EOR__DUAL2,axiom,
% 0.26/0.50 ! [V0B: $o,V1A: $o] :
% 0.26/0.50 ( ( ( (~)
% 0.26/0.50 @ ( V1A
% 0.26/0.50 | V0B ) )
% 0.26/0.50 => mono_2Ec_2Ebool_2EF )
% 0.26/0.50 <=> ( ( V1A
% 0.26/0.50 => mono_2Ec_2Ebool_2EF )
% 0.26/0.50 => ( ( (~) @ V0B )
% 0.26/0.50 => mono_2Ec_2Ebool_2EF ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Esat_2EOR__DUAL3,axiom,
% 0.26/0.50 ! [V0B: $o,V1A: $o] :
% 0.26/0.50 ( ( ( (~)
% 0.26/0.50 @ ( ( (~) @ V1A )
% 0.26/0.50 | V0B ) )
% 0.26/0.50 => mono_2Ec_2Ebool_2EF )
% 0.26/0.50 <=> ( V1A
% 0.26/0.50 => ( ( (~) @ V0B )
% 0.26/0.50 => mono_2Ec_2Ebool_2EF ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Esat_2EAND__INV2,axiom,
% 0.26/0.50 ! [V0A: $o] :
% 0.26/0.50 ( ( ( (~) @ V0A )
% 0.26/0.50 => mono_2Ec_2Ebool_2EF )
% 0.26/0.50 => ( ( V0A
% 0.26/0.50 => mono_2Ec_2Ebool_2EF )
% 0.26/0.50 => mono_2Ec_2Ebool_2EF ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Esat_2Edc__eq,axiom,
% 0.26/0.50 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.26/0.50 ( ( V2p
% 0.26/0.50 <=> ( V1q = V0r ) )
% 0.26/0.50 <=> ( ( V2p
% 0.26/0.50 | V1q
% 0.26/0.50 | V0r )
% 0.26/0.50 & ( V2p
% 0.26/0.50 | ( (~) @ V0r )
% 0.26/0.50 | ( (~) @ V1q ) )
% 0.26/0.50 & ( V1q
% 0.26/0.50 | ( (~) @ V0r )
% 0.26/0.50 | ( (~) @ V2p ) )
% 0.26/0.50 & ( V0r
% 0.26/0.50 | ( (~) @ V1q )
% 0.26/0.50 | ( (~) @ V2p ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Esat_2Edc__conj,axiom,
% 0.26/0.50 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.26/0.50 ( ( V2p
% 0.26/0.50 <=> ( V1q
% 0.26/0.50 & V0r ) )
% 0.26/0.50 <=> ( ( V2p
% 0.26/0.50 | ( (~) @ V1q )
% 0.26/0.50 | ( (~) @ V0r ) )
% 0.26/0.50 & ( V1q
% 0.26/0.50 | ( (~) @ V2p ) )
% 0.26/0.50 & ( V0r
% 0.26/0.50 | ( (~) @ V2p ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Esat_2Edc__disj,axiom,
% 0.26/0.50 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.26/0.50 ( ( V2p
% 0.26/0.50 <=> ( V1q
% 0.26/0.50 | V0r ) )
% 0.26/0.50 <=> ( ( V2p
% 0.26/0.50 | ( (~) @ V1q ) )
% 0.26/0.50 & ( V2p
% 0.26/0.50 | ( (~) @ V0r ) )
% 0.26/0.50 & ( V1q
% 0.26/0.50 | V0r
% 0.26/0.50 | ( (~) @ V2p ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Esat_2Edc__imp,axiom,
% 0.26/0.50 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.26/0.50 ( ( V2p
% 0.26/0.50 <=> ( V1q
% 0.26/0.50 => V0r ) )
% 0.26/0.50 <=> ( ( V2p
% 0.26/0.50 | V1q )
% 0.26/0.50 & ( V2p
% 0.26/0.50 | ( (~) @ V0r ) )
% 0.26/0.50 & ( ( (~) @ V1q )
% 0.26/0.50 | V0r
% 0.26/0.50 | ( (~) @ V2p ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Esat_2Edc__neg,axiom,
% 0.26/0.50 ! [V0q: $o,V1p: $o] :
% 0.26/0.50 ( ( V1p
% 0.26/0.50 <=> ( (~) @ V0q ) )
% 0.26/0.50 <=> ( ( V1p
% 0.26/0.50 | V0q )
% 0.26/0.50 & ( ( (~) @ V0q )
% 0.26/0.50 | ( (~) @ V1p ) ) ) ) ).
% 0.26/0.50
% 0.26/0.50 thf(thm_2Eextreal_2Emax__le,conjecture,
% 0.26/0.50 ! [V0z: mono_2Etyop_2Eextreal_2Eextreal,V1x: mono_2Etyop_2Eextreal_2Eextreal,V2y: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.51 ( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ V1x @ V2y ) @ V0z )
% 0.26/0.51 <=> ( ( mono_2Ec_2Eextreal_2Eextreal__le @ V1x @ V0z )
% 0.26/0.51 & ( mono_2Ec_2Eextreal_2Eextreal__le @ V2y @ V0z ) ) ) ).
% 0.26/0.51
% 0.26/0.51 %------------------------------------------------------------------------------
% 0.26/0.51 ------------------------
% 2.04/1.46 ---- Embedded in THF ---
% 2.04/1.46 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.04/1.46 %%% Generated on Tue Feb 24 08:22:34 EST 2026
% 2.04/1.46 %%% using '$$dhol' embedding, version 1.3.0.
% 2.04/1.46 %%% Logic specification used:
% 2.04/1.46 %%% thf(spec, logic, $$dhol).
% 2.04/1.46
% 2.04/1.46 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2DTF22886.p
% See solution above
% 2.04/1.46 ------------------------
% 2.04/1.47 ---- Cleaned THF ---
% 2.04/1.47 thf(u,type,
% 2.04/1.47 u: $tType ).
% 2.04/1.47
% 2.04/1.47 thf(d,type,
% 2.04/1.47 d: $tType ).
% 2.04/1.47
% 2.04/1.47 thf(du,type,
% 2.04/1.47 du: $tType ).
% 2.04/1.47
% 2.04/1.47 thf(mono_2Etyop_2Eextreal_2Eextreal,type,
% 2.04/1.47 mono_2Etyop_2Eextreal_2Eextreal: $tType ).
% 2.04/1.47
% 2.04/1.47 thf(tyop_2Eextreal_2Eextreal,type,
% 2.04/1.47 tyop_2Eextreal_2Eextreal: d ).
% 2.04/1.47
% 2.04/1.47 thf(tyop_2Emin_2Ebool,type,
% 2.04/1.47 tyop_2Emin_2Ebool: d ).
% 2.04/1.47
% 2.04/1.47 thf(tyop_2Emin_2Efun,type,
% 2.04/1.47 tyop_2Emin_2Efun: d > d > d ).
% 2.04/1.47
% 2.04/1.47 thf(s,type,
% 2.04/1.47 s: d > u > du ).
% 2.04/1.47
% 2.04/1.47 thf(app_2E2,type,
% 2.04/1.47 app_2E2: du > du > u ).
% 2.04/1.47
% 2.04/1.47 thf(combin_i_2E0,type,
% 2.04/1.47 combin_i_2E0: u ).
% 2.04/1.47
% 2.04/1.47 thf(combin_k_2E0,type,
% 2.04/1.47 combin_k_2E0: u ).
% 2.04/1.47
% 2.04/1.47 thf(combin_s_2E0,type,
% 2.04/1.47 combin_s_2E0: u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Ebool_2E_21_2E0,type,
% 2.04/1.47 c_2Ebool_2E_21_2E0: u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Ebool_2E_21_2E1,type,
% 2.04/1.47 c_2Ebool_2E_21_2E1: du > u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Ebool_2E_2F_5C_2E0,type,
% 2.04/1.47 c_2Ebool_2E_2F_5C_2E0: u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Ebool_2E_2F_5C_2E2,type,
% 2.04/1.47 c_2Ebool_2E_2F_5C_2E2: du > du > u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Emin_2E_3D_2E0,type,
% 2.04/1.47 c_2Emin_2E_3D_2E0: u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Emin_2E_3D_2E2,type,
% 2.04/1.47 c_2Emin_2E_3D_2E2: du > du > u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Emin_2E_3D_3D_3E_2E0,type,
% 2.04/1.47 c_2Emin_2E_3D_3D_3E_2E0: u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Emin_2E_3D_3D_3E_2E2,type,
% 2.04/1.47 c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Ebool_2E_3F_2E0,type,
% 2.04/1.47 c_2Ebool_2E_3F_2E0: u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Ebool_2E_3F_2E1,type,
% 2.04/1.47 c_2Ebool_2E_3F_2E1: du > u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Ebool_2ECOND_2E0,type,
% 2.04/1.47 c_2Ebool_2ECOND_2E0: u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Ebool_2ECOND_2E3,type,
% 2.04/1.47 c_2Ebool_2ECOND_2E3: du > du > du > u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Ebool_2EF_2E0,type,
% 2.04/1.47 c_2Ebool_2EF_2E0: u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Ebool_2ET_2E0,type,
% 2.04/1.47 c_2Ebool_2ET_2E0: u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Ebool_2E_5C_2F_2E0,type,
% 2.04/1.47 c_2Ebool_2E_5C_2F_2E0: u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Ebool_2E_5C_2F_2E2,type,
% 2.04/1.47 c_2Ebool_2E_5C_2F_2E2: du > du > u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Eextreal_2Eextreal__le_2E0,type,
% 2.04/1.47 c_2Eextreal_2Eextreal__le_2E0: u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Eextreal_2Eextreal__le_2E2,type,
% 2.04/1.47 c_2Eextreal_2Eextreal__le_2E2: du > du > u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Eextreal_2Eextreal__max_2E0,type,
% 2.04/1.47 c_2Eextreal_2Eextreal__max_2E0: u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Eextreal_2Eextreal__max_2E2,type,
% 2.04/1.47 c_2Eextreal_2Eextreal__max_2E2: du > du > u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Ebool_2E_7E_2E0,type,
% 2.04/1.47 c_2Ebool_2E_7E_2E0: u ).
% 2.04/1.47
% 2.04/1.47 thf(c_2Ebool_2E_7E_2E1,type,
% 2.04/1.47 c_2Ebool_2E_7E_2E1: du > u ).
% 2.04/1.47
% 2.04/1.47 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
% 2.04/1.47 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
% 2.04/1.47
% 2.04/1.47 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.04/1.47 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
% 2.04/1.47
% 2.04/1.47 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
% 2.04/1.47 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: ( $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 2.04/1.47
% 2.04/1.47 thf(mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool,type,
% 2.04/1.47 mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 2.04/1.47
% 2.04/1.47 thf(mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,type,
% 2.04/1.47 mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 2.04/1.47
% 2.04/1.47 thf(mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
% 2.04/1.47 mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 2.04/1.47
% 2.04/1.47 thf(mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,type,
% 2.04/1.47 mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 2.04/1.47
% 2.04/1.47 thf(mono_2Ec_2Ebool_2E_2F_5C,type,
% 2.04/1.47 mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
% 2.04/1.47
% 2.04/1.47 thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
% 2.04/1.47 mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 2.04/1.47
% 2.04/1.47 thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal,type,
% 2.04/1.47 mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal: $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 2.04/1.47
% 2.04/1.47 thf(mono_2Ec_2Ebool_2EF,type,
% 2.04/1.47 mono_2Ec_2Ebool_2EF: $o ).
% 2.04/1.47
% 2.04/1.47 thf(mono_2Ec_2Ebool_2ET,type,
% 2.04/1.47 mono_2Ec_2Ebool_2ET: $o ).
% 2.04/1.47
% 2.04/1.47 thf(mono_2Ec_2Ebool_2E_5C_2F,type,
% 2.04/1.47 mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
% 2.04/1.47
% 2.04/1.47 thf(mono_2Ec_2Eextreal_2Eextreal__le,type,
% 2.04/1.47 mono_2Ec_2Eextreal_2Eextreal__le: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 2.04/1.47
% 2.04/1.47 thf(mono_2Ec_2Eextreal_2Eextreal__max,type,
% 2.04/1.47 mono_2Ec_2Eextreal_2Eextreal__max: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 2.04/1.47
% 2.04/1.47 thf(mono_2Ec_2Ebool_2E_7E,type,
% 2.04/1.47 mono_2Ec_2Ebool_2E_7E: $o > $o ).
% 2.04/1.47
% 2.04/1.47 thf(i_mono_2Etyop_2Emin_2Ebool,type,
% 2.04/1.47 i_mono_2Etyop_2Emin_2Ebool: $o > u ).
% 2.04/1.47
% 2.04/1.47 thf(i_mono_2Etyop_2Eextreal_2Eextreal,type,
% 2.04/1.47 i_mono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Eextreal_2Eextreal > u ).
% 2.04/1.47
% 2.04/1.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.04/1.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
% 2.04/1.47
% 2.04/1.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.04/1.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
% 2.04/1.47
% 2.04/1.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
% 2.04/1.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: ( $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > u ).
% 2.04/1.47
% 2.04/1.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
% 2.04/1.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > u ).
% 2.04/1.47
% 2.04/1.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,type,
% 2.04/1.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > u ).
% 2.04/1.47
% 2.04/1.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.04/1.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ) > u ).
% 2.04/1.47
% 2.04/1.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
% 2.04/1.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > u ).
% 2.04/1.47
% 2.04/1.47 thf(j_mono_2Etyop_2Emin_2Ebool,type,
% 2.04/1.47 j_mono_2Etyop_2Emin_2Ebool: du > $o ).
% 2.04/1.47
% 2.04/1.47 thf(j_mono_2Etyop_2Eextreal_2Eextreal,type,
% 2.04/1.47 j_mono_2Etyop_2Eextreal_2Eextreal: du > mono_2Etyop_2Eextreal_2Eextreal ).
% 2.04/1.47
% 2.04/1.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.04/1.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
% 2.04/1.47
% 2.04/1.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.04/1.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
% 2.04/1.47
% 2.04/1.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
% 2.04/1.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: du > $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 2.04/1.47
% 2.04/1.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
% 2.04/1.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 2.04/1.47
% 2.04/1.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,type,
% 2.04/1.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 2.04/1.47
% 2.04/1.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.04/1.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 2.04/1.47
% 2.04/1.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
% 2.04/1.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 2.04/1.47
% 2.04/1.47 thf(reserved_2Eho_2Eeq__ext,axiom,
% 2.04/1.47 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
% 2.04/1.47 ( ! [V2x_2E0: u] :
% 2.04/1.47 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 2.04/1.47 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 2.04/1.47 => ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
% 2.04/1.47 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
% 2.04/1.47
% 2.04/1.47 thf(reserved_2Eho_2Ei__thm,axiom,
% 2.04/1.47 ! [A_27a: d,V0x_2E0: u] :
% 2.04/1.47 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
% 2.04/1.47 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 2.04/1.47
% 2.04/1.47 thf(reserved_2Eho_2Ek__thm,axiom,
% 2.04/1.47 ! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
% 2.04/1.47 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) ) @ combin_k_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) ) @ ( s @ A_27b @ V1y_2E0 ) ) )
% 2.04/1.47 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 2.04/1.47
% 2.04/1.47 thf(reserved_2Eho_2Es__thm,axiom,
% 2.04/1.47 ! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
% 2.04/1.47 ( ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 2.04/1.47 = ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) ) ) ).
% 2.04/1.47
% 2.04/1.47 thf(reserved_2Elogic_2E_2F_5C,axiom,
% 2.04/1.47 ! [V0: $o,V1: $o] :
% 2.04/1.47 ( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
% 2.04/1.47 <=> ( V0
% 2.04/1.47 & V1 ) ) ).
% 2.04/1.47
% 2.04/1.47 thf(reserved_2Elogic_2E_5C_2F,axiom,
% 2.04/1.47 ! [V0: $o,V1: $o] :
% 2.04/1.47 ( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
% 2.04/1.47 <=> ( V0
% 2.04/1.47 | V1 ) ) ).
% 2.04/1.47
% 2.04/1.47 thf(reserved_2Elogic_2E_7E,axiom,
% 2.04/1.47 ! [V0: $o] :
% 2.04/1.47 ( ( mono_2Ec_2Ebool_2E_7E @ V0 )
% 2.04/1.47 <=> ( (~) @ V0 ) ) ).
% 2.04/1.47
% 2.04/1.47 thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
% 2.04/1.47 ! [V0: $o,V1: $o] :
% 2.04/1.47 ( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 2.04/1.47 <=> ( V0
% 2.04/1.47 => V1 ) ) ).
% 2.04/1.47
% 2.04/1.47 thf(reserved_2Elogic_2E_3D,axiom,
% 2.04/1.47 ! [A_27a: d,V0_2E0: u,V1_2E0: u] :
% 2.04/1.47 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
% 2.04/1.47 <=> ( ( s @ A_27a @ V0_2E0 )
% 2.04/1.47 = ( s @ A_27a @ V1_2E0 ) ) ) ).
% 2.04/1.47
% 2.04/1.47 thf(reserved_2Equant_2E_21,axiom,
% 2.04/1.47 ! [A_27a: d,V0f_2E0: u] :
% 2.04/1.47 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
% 2.04/1.47 <=> ! [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 2.04/1.47
% 2.04/1.47 thf(reserved_2Equant_2E_3F,axiom,
% 2.04/1.47 ! [A_27a: d,V0f_2E0: u] :
% 2.04/1.47 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
% 2.04/1.47 <=> ? [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 2.04/1.47
% 2.04/1.47 thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 2.04/1.47 ! [V0_2E0: u] :
% 2.04/1.47 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
% 2.04/1.47 = ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
% 2.04/1.47
% 2.04/1.47 thf(ij_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
% 2.04/1.48 ! [V0_2E0: u] :
% 2.04/1.48 ( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ V0_2E0 ) ) ) )
% 2.04/1.48 = ( s @ tyop_2Eextreal_2Eextreal @ V0_2E0 ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.04/1.48 ! [V0_2E0: u] :
% 2.04/1.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 2.04/1.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.04/1.48 ! [V0_2E0: u] :
% 2.04/1.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 2.04/1.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
% 2.04/1.48 ! [V0_2E0: u] :
% 2.04/1.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) ) @ V0_2E0 ) ) ) )
% 2.04/1.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) ) @ V0_2E0 ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.04/1.48 ! [V0_2E0: u] :
% 2.04/1.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 2.04/1.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 2.04/1.48 ! [V0_2E0: u] :
% 2.04/1.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ V0_2E0 ) ) ) )
% 2.04/1.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ V0_2E0 ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.04/1.48 ! [V0_2E0: u] :
% 2.04/1.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 2.04/1.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
% 2.04/1.48 ! [V0_2E0: u] :
% 2.04/1.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ V0_2E0 ) ) ) )
% 2.04/1.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ V0_2E0 ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 2.04/1.48 ! [V0: $o] :
% 2.04/1.48 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
% 2.04/1.48 = V0 ) ).
% 2.04/1.48
% 2.04/1.48 thf(ji_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
% 2.04/1.48 ! [V0: mono_2Etyop_2Eextreal_2Eextreal] :
% 2.04/1.48 ( ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V0 ) ) )
% 2.04/1.48 = V0 ) ).
% 2.04/1.48
% 2.04/1.48 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.04/1.48 ! [V0: $o > $o] :
% 2.04/1.48 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 2.04/1.48 = V0 ) ).
% 2.04/1.48
% 2.04/1.48 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.04/1.48 ! [V0: $o > $o > $o] :
% 2.04/1.48 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 2.04/1.48 = V0 ) ).
% 2.04/1.48
% 2.04/1.48 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
% 2.04/1.48 ! [V0: $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal] :
% 2.04/1.48 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @ V0 ) ) )
% 2.04/1.48 = V0 ) ).
% 2.04/1.48
% 2.04/1.48 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.04/1.48 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > $o] :
% 2.04/1.48 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 2.04/1.48 = V0 ) ).
% 2.04/1.48
% 2.04/1.48 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 2.04/1.48 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal] :
% 2.04/1.48 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ V0 ) ) )
% 2.04/1.48 = V0 ) ).
% 2.04/1.48
% 2.04/1.48 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.04/1.48 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o] :
% 2.04/1.48 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 2.04/1.48 = V0 ) ).
% 2.04/1.48
% 2.04/1.48 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
% 2.04/1.48 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal] :
% 2.04/1.48 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @ V0 ) ) )
% 2.04/1.48 = V0 ) ).
% 2.04/1.48
% 2.04/1.48 thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
% 2.04/1.48 ! [A_27a: d,X0_2E0: u] :
% 2.04/1.48 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
% 2.04/1.48 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
% 2.04/1.48 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 2.04/1.48 ( ( ( s @ A_27a @ X0_2E0 )
% 2.04/1.48 = ( s @ A_27a @ X1_2E0 ) )
% 2.04/1.48 <=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
% 2.04/1.48 ! [A_27a: d,X0_2E0: u] :
% 2.04/1.48 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
% 2.04/1.48 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_3F_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a,axiom,
% 2.04/1.48 ! [A_27a: d,X0: $o,X1_2E0: u,X2_2E0: u] :
% 2.04/1.48 ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ A_27a @ X1_2E0 ) @ ( s @ A_27a @ X2_2E0 ) ) )
% 2.04/1.48 = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.04/1.48 ! [V0: $o > $o,V1: $o] :
% 2.04/1.48 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 2.04/1.48 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.04/1.48 ! [V0: $o > $o > $o,V1: $o] :
% 2.04/1.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 2.04/1.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
% 2.04/1.48 ! [V0: $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal,V1: $o] :
% 2.04/1.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @ ( V0 @ V1 ) ) )
% 2.04/1.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.04/1.48 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > $o,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 2.04/1.48 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 2.04/1.48 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V1 ) ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
% 2.04/1.48 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 2.04/1.48 ( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( V0 @ V1 ) ) )
% 2.04/1.48 = ( s @ tyop_2Eextreal_2Eextreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ V0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V1 ) ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.04/1.48 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 2.04/1.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 2.04/1.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V1 ) ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 2.04/1.48 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 2.04/1.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ ( V0 @ V1 ) ) )
% 2.04/1.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @ V0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V1 ) ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
% 2.04/1.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal ) )
% 2.04/1.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
% 2.04/1.48 ! [V0: $o,V1: mono_2Etyop_2Eextreal_2Eextreal,V2: mono_2Etyop_2Eextreal_2Eextreal] :
% 2.04/1.48 ( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ V0 @ V1 @ V2 ) ) )
% 2.04/1.48 = ( s @ tyop_2Eextreal_2Eextreal @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V1 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V2 ) ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.04/1.48 ! [V0: $o > $o,V1: $o] :
% 2.04/1.48 ( ( V0 @ V1 )
% 2.04/1.48 = ( V0 @ V1 ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.04/1.48 ! [V0: $o > $o > $o,V1: $o] :
% 2.04/1.48 ( ( V0 @ V1 )
% 2.04/1.48 = ( V0 @ V1 ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
% 2.04/1.48 ! [V0: $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal,V1: $o] :
% 2.04/1.48 ( ( V0 @ V1 )
% 2.04/1.48 = ( V0 @ V1 ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.04/1.48 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > $o,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 2.04/1.48 ( ( V0 @ V1 )
% 2.04/1.48 = ( V0 @ V1 ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
% 2.04/1.48 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 2.04/1.48 ( ( V0 @ V1 )
% 2.04/1.48 = ( V0 @ V1 ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.04/1.48 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 2.04/1.48 ( ( V0 @ V1 )
% 2.04/1.48 = ( V0 @ V1 ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 2.04/1.48 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 2.04/1.48 ( ( V0 @ V1 )
% 2.04/1.48 = ( V0 @ V1 ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Ebool_2ETRUTH,axiom,
% 2.04/1.48 mono_2Ec_2Ebool_2ET ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Ebool_2EIMP__ANTISYM__AX,axiom,
% 2.04/1.48 ! [V0t1: $o,V1t2: $o] :
% 2.04/1.48 ( ( V0t1
% 2.04/1.48 => V1t2 )
% 2.04/1.48 => ( ( V1t2
% 2.04/1.48 => V0t1 )
% 2.04/1.48 => ( V0t1 = V1t2 ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Ebool_2EFALSITY,axiom,
% 2.04/1.48 ! [V0t: $o] :
% 2.04/1.48 ( mono_2Ec_2Ebool_2EF
% 2.04/1.48 => V0t ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Ebool_2EEXCLUDED__MIDDLE,axiom,
% 2.04/1.48 ! [V0t: $o] :
% 2.04/1.48 ( V0t
% 2.04/1.48 | ( (~) @ V0t ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Ebool_2EIMP__F,axiom,
% 2.04/1.48 ! [V0t: $o] :
% 2.04/1.48 ( ( V0t
% 2.04/1.48 => mono_2Ec_2Ebool_2EF )
% 2.04/1.48 => ( (~) @ V0t ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Ebool_2EF__IMP,axiom,
% 2.04/1.48 ! [V0t: $o] :
% 2.04/1.48 ( ( (~) @ V0t )
% 2.04/1.48 => ( V0t
% 2.04/1.48 => mono_2Ec_2Ebool_2EF ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Ebool_2EIMP__CLAUSES,axiom,
% 2.04/1.48 ! [V0t: $o] :
% 2.04/1.48 ( ( ( mono_2Ec_2Ebool_2ET
% 2.04/1.48 => V0t )
% 2.04/1.48 <=> V0t )
% 2.04/1.48 & ( ( V0t
% 2.04/1.48 => mono_2Ec_2Ebool_2ET )
% 2.04/1.48 <=> mono_2Ec_2Ebool_2ET )
% 2.04/1.48 & ( ( mono_2Ec_2Ebool_2EF
% 2.04/1.48 => V0t )
% 2.04/1.48 <=> mono_2Ec_2Ebool_2ET )
% 2.04/1.48 & ( ( V0t
% 2.04/1.48 => V0t )
% 2.04/1.48 <=> mono_2Ec_2Ebool_2ET )
% 2.04/1.48 & ( ( V0t
% 2.04/1.48 => mono_2Ec_2Ebool_2EF )
% 2.04/1.48 <=> ( (~) @ V0t ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Ebool_2ENOT__CLAUSES,axiom,
% 2.04/1.48 ( ! [V0t: $o] :
% 2.04/1.48 ( ( (~) @ ( (~) @ V0t ) )
% 2.04/1.48 <=> V0t )
% 2.04/1.48 & ( ( (~) @ mono_2Ec_2Ebool_2ET )
% 2.04/1.48 <=> mono_2Ec_2Ebool_2EF )
% 2.04/1.48 & ( ( (~) @ mono_2Ec_2Ebool_2EF )
% 2.04/1.48 <=> mono_2Ec_2Ebool_2ET ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Ebool_2EEQ__SYM__EQ,axiom,
% 2.04/1.48 ! [A_27a: d,V0x_2E0: u,V1y_2E0: u] :
% 2.04/1.48 ( ( ( s @ A_27a @ V0x_2E0 )
% 2.04/1.48 = ( s @ A_27a @ V1y_2E0 ) )
% 2.04/1.48 <=> ( ( s @ A_27a @ V1y_2E0 )
% 2.04/1.48 = ( s @ A_27a @ V0x_2E0 ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 2.04/1.48 ! [V0t: $o] :
% 2.04/1.48 ( ( ( mono_2Ec_2Ebool_2ET = V0t )
% 2.04/1.48 <=> V0t )
% 2.04/1.48 & ( ( V0t = mono_2Ec_2Ebool_2ET )
% 2.04/1.48 <=> V0t )
% 2.04/1.48 & ( ( mono_2Ec_2Ebool_2EF = V0t )
% 2.04/1.48 <=> ( (~) @ V0t ) )
% 2.04/1.48 & ( ( V0t = mono_2Ec_2Ebool_2EF )
% 2.04/1.48 <=> ( (~) @ V0t ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Ebool_2ECOND__CLAUSES,axiom,
% 2.04/1.48 ! [A_27a: d,V0t1_2E0: u,V1t2_2E0: u] :
% 2.04/1.48 ( ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
% 2.04/1.48 = ( s @ A_27a @ V0t1_2E0 ) )
% 2.04/1.48 & ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
% 2.04/1.48 = ( s @ A_27a @ V1t2_2E0 ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Ebool_2EDISJ__ASSOC,axiom,
% 2.04/1.48 ! [V0A: $o,V1B: $o,V2C: $o] :
% 2.04/1.48 ( ( V0A
% 2.04/1.48 | V1B
% 2.04/1.48 | V2C )
% 2.04/1.48 <=> ( V0A
% 2.04/1.48 | V1B
% 2.04/1.48 | V2C ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Ebool_2EDISJ__SYM,axiom,
% 2.04/1.48 ! [V0A: $o,V1B: $o] :
% 2.04/1.48 ( ( V0A
% 2.04/1.48 | V1B )
% 2.04/1.48 <=> ( V1B
% 2.04/1.48 | V0A ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Ebool_2EDE__MORGAN__THM,axiom,
% 2.04/1.48 ! [V0A: $o,V1B: $o] :
% 2.04/1.48 ( ( ( (~)
% 2.04/1.48 @ ( V0A
% 2.04/1.48 & V1B ) )
% 2.04/1.48 <=> ( ( (~) @ V0A )
% 2.04/1.48 | ( (~) @ V1B ) ) )
% 2.04/1.48 & ( ( (~)
% 2.04/1.48 @ ( V0A
% 2.04/1.48 | V1B ) )
% 2.04/1.48 <=> ( ( (~) @ V0A )
% 2.04/1.48 & ( (~) @ V1B ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Eextreal_2Ele__trans,axiom,
% 2.04/1.48 ! [V0x: mono_2Etyop_2Eextreal_2Eextreal,V1y: mono_2Etyop_2Eextreal_2Eextreal,V2z: mono_2Etyop_2Eextreal_2Eextreal] :
% 2.04/1.48 ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ V0x @ V1y )
% 2.04/1.48 & ( mono_2Ec_2Eextreal_2Eextreal__le @ V1y @ V2z ) )
% 2.04/1.48 => ( mono_2Ec_2Eextreal_2Eextreal__le @ V0x @ V2z ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Eextreal_2Ele__total,axiom,
% 2.04/1.48 ! [V0x: mono_2Etyop_2Eextreal_2Eextreal,V1y: mono_2Etyop_2Eextreal_2Eextreal] :
% 2.04/1.48 ( ( mono_2Ec_2Eextreal_2Eextreal__le @ V0x @ V1y )
% 2.04/1.48 | ( mono_2Ec_2Eextreal_2Eextreal__le @ V1y @ V0x ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Eextreal_2Eextreal__max__def,axiom,
% 2.04/1.48 ! [V0x: mono_2Etyop_2Eextreal_2Eextreal,V1y: mono_2Etyop_2Eextreal_2Eextreal] :
% 2.04/1.48 ( ( mono_2Ec_2Eextreal_2Eextreal__max @ V0x @ V1y )
% 2.04/1.48 = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Eextreal_2Eextreal__le @ V0x @ V1y ) @ V1y @ V0x ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Esat_2ENOT__NOT,axiom,
% 2.04/1.48 ! [V0t: $o] :
% 2.04/1.48 ( ( (~) @ ( (~) @ V0t ) )
% 2.04/1.48 <=> V0t ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Esat_2EAND__INV__IMP,axiom,
% 2.04/1.48 ! [V0A: $o] :
% 2.04/1.48 ( V0A
% 2.04/1.48 => ( ( (~) @ V0A )
% 2.04/1.48 => mono_2Ec_2Ebool_2EF ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Esat_2EOR__DUAL2,axiom,
% 2.04/1.48 ! [V0B: $o,V1A: $o] :
% 2.04/1.48 ( ( ( (~)
% 2.04/1.48 @ ( V1A
% 2.04/1.48 | V0B ) )
% 2.04/1.48 => mono_2Ec_2Ebool_2EF )
% 2.04/1.48 <=> ( ( V1A
% 2.04/1.48 => mono_2Ec_2Ebool_2EF )
% 2.04/1.48 => ( ( (~) @ V0B )
% 2.04/1.48 => mono_2Ec_2Ebool_2EF ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Esat_2EOR__DUAL3,axiom,
% 2.04/1.48 ! [V0B: $o,V1A: $o] :
% 2.04/1.48 ( ( ( (~)
% 2.04/1.48 @ ( ( (~) @ V1A )
% 2.04/1.48 | V0B ) )
% 2.04/1.48 => mono_2Ec_2Ebool_2EF )
% 2.04/1.48 <=> ( V1A
% 2.04/1.48 => ( ( (~) @ V0B )
% 2.04/1.48 => mono_2Ec_2Ebool_2EF ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Esat_2EAND__INV2,axiom,
% 2.04/1.48 ! [V0A: $o] :
% 2.04/1.48 ( ( ( (~) @ V0A )
% 2.04/1.48 => mono_2Ec_2Ebool_2EF )
% 2.04/1.48 => ( ( V0A
% 2.04/1.48 => mono_2Ec_2Ebool_2EF )
% 2.04/1.48 => mono_2Ec_2Ebool_2EF ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Esat_2Edc__eq,axiom,
% 2.04/1.48 ! [V0r: $o,V1q: $o,V2p: $o] :
% 2.04/1.48 ( ( V2p
% 2.04/1.48 <=> ( V1q = V0r ) )
% 2.04/1.48 <=> ( ( V2p
% 2.04/1.48 | V1q
% 2.04/1.48 | V0r )
% 2.04/1.48 & ( V2p
% 2.04/1.48 | ( (~) @ V0r )
% 2.04/1.48 | ( (~) @ V1q ) )
% 2.04/1.48 & ( V1q
% 2.04/1.48 | ( (~) @ V0r )
% 2.04/1.48 | ( (~) @ V2p ) )
% 2.04/1.48 & ( V0r
% 2.04/1.48 | ( (~) @ V1q )
% 2.04/1.48 | ( (~) @ V2p ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Esat_2Edc__conj,axiom,
% 2.04/1.48 ! [V0r: $o,V1q: $o,V2p: $o] :
% 2.04/1.48 ( ( V2p
% 2.04/1.48 <=> ( V1q
% 2.04/1.48 & V0r ) )
% 2.04/1.48 <=> ( ( V2p
% 2.04/1.48 | ( (~) @ V1q )
% 2.04/1.48 | ( (~) @ V0r ) )
% 2.04/1.48 & ( V1q
% 2.04/1.48 | ( (~) @ V2p ) )
% 2.04/1.48 & ( V0r
% 2.04/1.48 | ( (~) @ V2p ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Esat_2Edc__disj,axiom,
% 2.04/1.48 ! [V0r: $o,V1q: $o,V2p: $o] :
% 2.04/1.48 ( ( V2p
% 2.04/1.48 <=> ( V1q
% 2.04/1.48 | V0r ) )
% 2.04/1.48 <=> ( ( V2p
% 2.04/1.48 | ( (~) @ V1q ) )
% 2.04/1.48 & ( V2p
% 2.04/1.48 | ( (~) @ V0r ) )
% 2.04/1.48 & ( V1q
% 2.04/1.48 | V0r
% 2.04/1.48 | ( (~) @ V2p ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Esat_2Edc__imp,axiom,
% 2.04/1.48 ! [V0r: $o,V1q: $o,V2p: $o] :
% 2.04/1.48 ( ( V2p
% 2.04/1.48 <=> ( V1q
% 2.04/1.48 => V0r ) )
% 2.04/1.48 <=> ( ( V2p
% 2.04/1.48 | V1q )
% 2.04/1.48 & ( V2p
% 2.04/1.48 | ( (~) @ V0r ) )
% 2.04/1.48 & ( ( (~) @ V1q )
% 2.04/1.48 | V0r
% 2.04/1.48 | ( (~) @ V2p ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Esat_2Edc__neg,axiom,
% 2.04/1.48 ! [V0q: $o,V1p: $o] :
% 2.04/1.48 ( ( V1p
% 2.04/1.48 <=> ( (~) @ V0q ) )
% 2.04/1.48 <=> ( ( V1p
% 2.04/1.48 | V0q )
% 2.04/1.48 & ( ( (~) @ V0q )
% 2.04/1.48 | ( (~) @ V1p ) ) ) ) ).
% 2.04/1.48
% 2.04/1.48 thf(thm_2Eextreal_2Emax__le,conjecture,
% 2.04/1.48 ! [V0z: mono_2Etyop_2Eextreal_2Eextreal,V1x: mono_2Etyop_2Eextreal_2Eextreal,V2y: mono_2Etyop_2Eextreal_2Eextreal] :
% 2.04/1.48 ( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ V1x @ V2y ) @ V0z )
% 2.04/1.48 <=> ( ( mono_2Ec_2Eextreal_2Eextreal__le @ V1x @ V0z )
% 2.04/1.48 & ( mono_2Ec_2Eextreal_2Eextreal__le @ V2y @ V0z ) ) ) ).
% 2.04/1.48 ------------------------
% 2.04/1.50 % (23197)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/183Mi)
% 2.22/1.50 % (23201)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/2Mi)
% 2.22/1.50 % (23199)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/27Mi)
% 2.22/1.50 % (23201)Instruction limit reached!
% 2.22/1.50 % (23201)------------------------------
% 2.22/1.50 % (23201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.50 % (23201)Termination reason: Unknown
% 2.22/1.50 % (23201)Termination phase: shuffling
% 2.22/1.50
% 2.22/1.50 % (23201)Memory used [KB]: 1151
% 2.22/1.50 % (23201)Time elapsed: 0.002 s
% 2.22/1.50 % (23201)Instructions burned: 3 (million)
% 2.22/1.50 % (23201)------------------------------
% 2.22/1.50 % (23201)------------------------------
% 2.22/1.50 % (23198)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/4Mi)
% 2.22/1.50 % (23203)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/18Mi)
% 2.22/1.50 % (23202)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/275Mi)
% 2.22/1.51 % (23199)Instruction limit reached!
% 2.22/1.51 % (23199)------------------------------
% 2.22/1.51 % (23199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.51 % (23199)Termination reason: Unknown
% 2.22/1.51 % (23199)Termination phase: Property scanning
% 2.22/1.51
% 2.22/1.51 % (23199)Memory used [KB]: 1407
% 2.22/1.51 % (23199)Time elapsed: 0.010 s
% 2.22/1.51 % (23199)Instructions burned: 27 (million)
% 2.22/1.51 % (23199)------------------------------
% 2.22/1.51 % (23199)------------------------------
% 2.22/1.51 % (23200)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/2Mi)
% 2.22/1.51 % (23198)Instruction limit reached!
% 2.22/1.51 % (23198)------------------------------
% 2.22/1.51 % (23198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.51 % (23198)Termination reason: Unknown
% 2.22/1.51 % (23198)Termination phase: shuffling
% 2.22/1.51
% 2.22/1.51 % (23198)Memory used [KB]: 1151
% 2.22/1.51 % (23198)Time elapsed: 0.005 s
% 2.22/1.51 % (23198)Instructions burned: 5 (million)
% 2.22/1.51 % (23198)------------------------------
% 2.22/1.51 % (23198)------------------------------
% 2.22/1.51 % (23200)Instruction limit reached!
% 2.22/1.51 % (23200)------------------------------
% 2.22/1.51 % (23200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.51 % (23200)Termination reason: Unknown
% 2.22/1.51 % (23200)Termination phase: shuffling
% 2.22/1.51
% 2.22/1.51 % (23200)Memory used [KB]: 1023
% 2.22/1.51 % (23200)Time elapsed: 0.003 s
% 2.22/1.51 % (23200)Instructions burned: 2 (million)
% 2.22/1.51 % (23200)------------------------------
% 2.22/1.51 % (23200)------------------------------
% 2.22/1.51 % (23207)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/3Mi)
% 2.22/1.51 % (23207)Instruction limit reached!
% 2.22/1.51 % (23207)------------------------------
% 2.22/1.51 % (23207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.51 % (23207)Termination reason: Unknown
% 2.22/1.51 % (23207)Termination phase: shuffling
% 2.22/1.51
% 2.22/1.51 % (23207)Memory used [KB]: 1151
% 2.22/1.51 % (23207)Time elapsed: 0.003 s
% 2.22/1.51 % (23207)Instructions burned: 4 (million)
% 2.22/1.51 % (23207)------------------------------
% 2.22/1.51 % (23207)------------------------------
% 2.22/1.51 % (23203)Instruction limit reached!
% 2.22/1.51 % (23203)------------------------------
% 2.22/1.51 % (23203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.51 % (23203)Termination reason: Unknown
% 2.22/1.51 % (23203)Termination phase: Property scanning
% 2.22/1.51
% 2.22/1.51 % (23203)Memory used [KB]: 1407
% 2.22/1.51 % (23203)Time elapsed: 0.012 s
% 2.22/1.51 % (23203)Instructions burned: 18 (million)
% 2.22/1.51 % (23203)------------------------------
% 2.22/1.51 % (23203)------------------------------
% 2.22/1.52 % (23211)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/37Mi)
% 2.22/1.52 % (23216)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/1041Mi)
% 2.22/1.52 % (23213)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/15Mi)
% 2.22/1.52 % (23214)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/3Mi)
% 2.22/1.53 % (23211)Instruction limit reached!
% 2.22/1.53 % (23211)------------------------------
% 2.22/1.53 % (23211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.53 % (23211)Termination reason: Unknown
% 2.22/1.53 % (23211)Termination phase: Property scanning
% 2.22/1.53
% 2.22/1.53 % (23211)Memory used [KB]: 1407
% 2.22/1.53 % (23211)Time elapsed: 0.012 s
% 2.22/1.53 % (23211)Instructions burned: 38 (million)
% 2.22/1.53 % (23211)------------------------------
% 2.22/1.53 % (23211)------------------------------
% 2.22/1.53 % (23214)Instruction limit reached!
% 2.22/1.53 % (23214)------------------------------
% 2.22/1.53 % (23214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.53 % (23214)Termination reason: Unknown
% 2.22/1.53 % (23214)Termination phase: shuffling
% 2.22/1.53
% 2.22/1.53 % (23214)Memory used [KB]: 1151
% 2.22/1.53 % (23214)Time elapsed: 0.004 s
% 2.22/1.53 % (23214)Instructions burned: 3 (million)
% 2.22/1.53 % (23214)------------------------------
% 2.22/1.53 % (23214)------------------------------
% 2.22/1.53 % (23217)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/7Mi)
% 2.22/1.53 % (23213)Instruction limit reached!
% 2.22/1.53 % (23213)------------------------------
% 2.22/1.53 % (23213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.53 % (23213)Termination reason: Unknown
% 2.22/1.53 % (23213)Termination phase: Property scanning
% 2.22/1.53
% 2.22/1.53 % (23213)Memory used [KB]: 1407
% 2.22/1.53 % (23213)Time elapsed: 0.011 s
% 2.22/1.53 % (23213)Instructions burned: 16 (million)
% 2.22/1.53 % (23213)------------------------------
% 2.22/1.53 % (23213)------------------------------
% 2.22/1.54 % (23217)Instruction limit reached!
% 2.22/1.54 % (23217)------------------------------
% 2.22/1.54 % (23217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.54 % (23217)Termination reason: Unknown
% 2.22/1.54 % (23217)Termination phase: Property scanning
% 2.22/1.54
% 2.22/1.54 % (23217)Memory used [KB]: 1151
% 2.22/1.54 % (23217)Time elapsed: 0.006 s
% 2.22/1.54 % (23217)Instructions burned: 7 (million)
% 2.22/1.54 % (23217)------------------------------
% 2.22/1.54 % (23217)------------------------------
% 2.22/1.54 % (23218)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/16Mi)
% 2.22/1.54 % (23219)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/3Mi)
% 2.22/1.55 % (23219)Instruction limit reached!
% 2.22/1.55 % (23219)------------------------------
% 2.22/1.55 % (23219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.55 % (23219)Termination reason: Unknown
% 2.22/1.55 % (23219)Termination phase: shuffling
% 2.22/1.55
% 2.22/1.55 % (23219)Memory used [KB]: 1151
% 2.22/1.55 % (23219)Time elapsed: 0.004 s
% 2.22/1.55 % (23219)Instructions burned: 3 (million)
% 2.22/1.55 % (23219)------------------------------
% 2.22/1.55 % (23219)------------------------------
% 2.22/1.55 % (23224)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/3Mi)
% 2.22/1.55 % (23218)Instruction limit reached!
% 2.22/1.55 % (23218)------------------------------
% 2.22/1.55 % (23218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.55 % (23218)Termination reason: Unknown
% 2.22/1.55 % (23218)Termination phase: Property scanning
% 2.22/1.55
% 2.22/1.55 % (23218)Memory used [KB]: 1407
% 2.22/1.55 % (23218)Time elapsed: 0.011 s
% 2.22/1.55 % (23218)Instructions burned: 17 (million)
% 2.22/1.55 % (23218)------------------------------
% 2.22/1.55 % (23218)------------------------------
% 2.22/1.55 % (23224)Instruction limit reached!
% 2.22/1.55 % (23224)------------------------------
% 2.22/1.55 % (23224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.55 % (23224)Termination reason: Unknown
% 2.22/1.55 % (23224)Termination phase: shuffling
% 2.22/1.55
% 2.22/1.55 % (23224)Memory used [KB]: 1151
% 2.22/1.55 % (23224)Time elapsed: 0.004 s
% 2.22/1.55 % (23224)Instructions burned: 3 (million)
% 2.22/1.55 % (23224)------------------------------
% 2.22/1.55 % (23224)------------------------------
% 2.22/1.55 % (23226)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/7Mi)
% 2.22/1.55 % (23197)Instruction limit reached!
% 2.22/1.55 % (23197)------------------------------
% 2.22/1.55 % (23197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.55 % (23197)Termination reason: Unknown
% 2.22/1.55 % (23197)Termination phase: Saturation
% 2.22/1.55
% 2.22/1.55 % (23197)Memory used [KB]: 6908
% 2.22/1.55 % (23197)Time elapsed: 0.060 s
% 2.22/1.55 % (23197)Instructions burned: 185 (million)
% 2.22/1.55 % (23197)------------------------------
% 2.22/1.55 % (23197)------------------------------
% 2.22/1.56 % (23226)Instruction limit reached!
% 2.22/1.56 % (23226)------------------------------
% 2.22/1.56 % (23226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.56 % (23226)Termination reason: Unknown
% 2.22/1.56 % (23226)Termination phase: shuffling
% 2.22/1.56
% 2.22/1.56 % (23226)Memory used [KB]: 1151
% 2.22/1.56 % (23226)Time elapsed: 0.006 s
% 2.22/1.56 % (23226)Instructions burned: 7 (million)
% 2.22/1.56 % (23226)------------------------------
% 2.22/1.56 % (23226)------------------------------
% 2.22/1.56 % (23235)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/710Mi)
% 2.22/1.56 % (23229)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/3Mi)
% 2.22/1.57 % (23229)Instruction limit reached!
% 2.22/1.57 % (23229)------------------------------
% 2.22/1.57 % (23229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.57 % (23229)Termination reason: Unknown
% 2.22/1.57 % (23229)Termination phase: shuffling
% 2.22/1.57
% 2.22/1.57 % (23229)Memory used [KB]: 1151
% 2.22/1.57 % (23229)Time elapsed: 0.004 s
% 2.22/1.57 % (23229)Instructions burned: 4 (million)
% 2.22/1.57 % (23229)------------------------------
% 2.22/1.57 % (23229)------------------------------
% 2.22/1.57 % (23232)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/4Mi)
% 2.22/1.57 % (23233)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/18Mi)
% 2.22/1.57 % (23232)Instruction limit reached!
% 2.22/1.57 % (23232)------------------------------
% 2.22/1.57 % (23232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.57 % (23232)Termination reason: Unknown
% 2.22/1.57 % (23232)Termination phase: Property scanning
% 2.22/1.57
% 2.22/1.57 % (23232)Memory used [KB]: 1151
% 2.22/1.57 % (23232)Time elapsed: 0.005 s
% 2.22/1.57 % (23232)Instructions burned: 5 (million)
% 2.22/1.57 % (23232)------------------------------
% 2.22/1.57 % (23232)------------------------------
% 2.22/1.57 % (23236)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/6Mi)
% 2.22/1.58 % (23236)Instruction limit reached!
% 2.22/1.58 % (23236)------------------------------
% 2.22/1.58 % (23236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.58 % (23236)Termination reason: Unknown
% 2.22/1.58 % (23236)Termination phase: Property scanning
% 2.22/1.58
% 2.22/1.58 % (23236)Memory used [KB]: 1151
% 2.22/1.58 % (23236)Time elapsed: 0.004 s
% 2.22/1.58 % (23236)Instructions burned: 8 (million)
% 2.22/1.58 % (23236)------------------------------
% 2.22/1.58 % (23236)------------------------------
% 2.22/1.58 % (23233)Instruction limit reached!
% 2.22/1.58 % (23233)------------------------------
% 2.22/1.58 % (23233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.58 % (23233)Termination reason: Unknown
% 2.22/1.58 % (23233)Termination phase: Property scanning
% 2.22/1.58
% 2.22/1.58 % (23233)Memory used [KB]: 1407
% 2.22/1.58 % (23233)Time elapsed: 0.012 s
% 2.22/1.58 % (23233)Instructions burned: 19 (million)
% 2.22/1.58 % (23233)------------------------------
% 2.22/1.58 % (23233)------------------------------
% 2.22/1.58 % (23237)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/902Mi)
% 2.22/1.59 % (23244)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/5Mi)
% 2.22/1.59 % (23244)Instruction limit reached!
% 2.22/1.59 % (23244)------------------------------
% 2.22/1.59 % (23244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.59 % (23244)Termination reason: Unknown
% 2.22/1.59 % (23244)Termination phase: shuffling
% 2.22/1.59
% 2.22/1.59 % (23244)Memory used [KB]: 1151
% 2.22/1.59 % (23244)Time elapsed: 0.004 s
% 2.22/1.59 % (23244)Instructions burned: 8 (million)
% 2.22/1.59 % (23244)------------------------------
% 2.22/1.59 % (23244)------------------------------
% 2.22/1.59 % (23242)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/21Mi)
% 2.22/1.60 % (23245)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/6Mi)
% 2.22/1.60 % (23246)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_22886 for (2999ds/377Mi)
% 2.22/1.60 % (23245)Instruction limit reached!
% 2.22/1.60 % (23245)------------------------------
% 2.22/1.60 % (23245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.60 % (23245)Termination reason: Unknown
% 2.22/1.60 % (23245)Termination phase: shuffling
% 2.22/1.60
% 2.22/1.60 % (23245)Memory used [KB]: 1151
% 2.22/1.60 % (23245)Time elapsed: 0.005 s
% 2.22/1.60 % (23245)Instructions burned: 7 (million)
% 2.22/1.60 % (23245)------------------------------
% 2.22/1.60 % (23245)------------------------------
% 2.22/1.60 % (23242)Instruction limit reached!
% 2.22/1.60 % (23242)------------------------------
% 2.22/1.60 % (23242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.60 % (23242)Termination reason: Unknown
% 2.22/1.60 % (23242)Termination phase: Property scanning
% 2.22/1.60
% 2.22/1.60 % (23242)Memory used [KB]: 1407
% 2.22/1.60 % (23242)Time elapsed: 0.014 s
% 2.22/1.60 % (23242)Instructions burned: 22 (million)
% 2.22/1.60 % (23242)------------------------------
% 2.22/1.60 % (23242)------------------------------
% 2.22/1.62 % (23247)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_22886 for (2998ds/779Mi)
% 2.22/1.62 % (23202)Instruction limit reached!
% 2.22/1.62 % (23202)------------------------------
% 2.22/1.62 % (23202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.62 % (23202)Termination reason: Unknown
% 2.22/1.62 % (23202)Termination phase: Saturation
% 2.22/1.62
% 2.22/1.62 % (23202)Memory used [KB]: 6268
% 2.22/1.62 % (23202)Time elapsed: 0.116 s
% 2.22/1.62 % (23202)Instructions burned: 276 (million)
% 2.22/1.62 % (23202)------------------------------
% 2.22/1.62 % (23202)------------------------------
% 2.22/1.62 % (23248)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_22886 for (2998ds/19Mi)
% 2.22/1.63 % (23248)Instruction limit reached!
% 2.22/1.63 % (23248)------------------------------
% 2.22/1.63 % (23248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.63 % (23248)Termination reason: Unknown
% 2.22/1.63 % (23248)Termination phase: Property scanning
% 2.22/1.63
% 2.22/1.63 % (23248)Memory used [KB]: 1407
% 2.22/1.63 % (23248)Time elapsed: 0.010 s
% 2.22/1.63 % (23248)Instructions burned: 20 (million)
% 2.22/1.63 % (23248)------------------------------
% 2.22/1.63 % (23248)------------------------------
% 2.22/1.63 % (23254)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_22886 for (2998ds/879Mi)
% 2.22/1.64 % (23259)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_22886 for (2998ds/17Mi)
% 2.22/1.64 % (23259)Instruction limit reached!
% 2.22/1.64 % (23259)------------------------------
% 2.22/1.64 % (23259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.64 % (23259)Termination reason: Unknown
% 2.22/1.64 % (23259)Termination phase: Property scanning
% 2.22/1.64
% 2.22/1.64 % (23259)Memory used [KB]: 1407
% 2.22/1.64 % (23259)Time elapsed: 0.007 s
% 2.22/1.64 % (23259)Instructions burned: 18 (million)
% 2.22/1.64 % (23259)------------------------------
% 2.22/1.64 % (23259)------------------------------
% 2.22/1.65 % (23266)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_22886 for (2998ds/3Mi)
% 2.22/1.66 % (23266)Instruction limit reached!
% 2.22/1.66 % (23266)------------------------------
% 2.22/1.66 % (23266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.66 % (23266)Termination reason: Unknown
% 2.22/1.66 % (23266)Termination phase: shuffling
% 2.22/1.66
% 2.22/1.66 % (23266)Memory used [KB]: 1151
% 2.22/1.66 % (23266)Time elapsed: 0.003 s
% 2.22/1.66 % (23266)Instructions burned: 4 (million)
% 2.22/1.66 % (23266)------------------------------
% 2.22/1.66 % (23266)------------------------------
% 2.22/1.67 % (23267)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_22886 for (2998ds/30Mi)
% 2.22/1.67 % (23267)Instruction limit reached!
% 2.22/1.67 % (23267)------------------------------
% 2.22/1.67 % (23267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.67 % (23267)Termination reason: Unknown
% 2.22/1.67 % (23267)Termination phase: Property scanning
% 2.22/1.67
% 2.22/1.67 % (23267)Memory used [KB]: 1407
% 2.22/1.67 % (23267)Time elapsed: 0.011 s
% 2.22/1.67 % (23267)Instructions burned: 31 (million)
% 2.22/1.67 % (23267)------------------------------
% 2.22/1.67 % (23267)------------------------------
% 2.22/1.68 % (23273)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_22886 for (2998ds/127Mi)
% 2.22/1.73 % (23246)Instruction limit reached!
% 2.22/1.73 % (23246)------------------------------
% 2.22/1.73 % (23246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.73 % (23246)Termination reason: Unknown
% 2.22/1.73 % (23246)Termination phase: Saturation
% 2.22/1.73
% 2.22/1.73 % (23246)Memory used [KB]: 6652
% 2.22/1.73 % (23246)Time elapsed: 0.131 s
% 2.22/1.73 % (23246)Instructions burned: 379 (million)
% 2.22/1.73 % (23246)------------------------------
% 2.22/1.73 % (23246)------------------------------
% 2.22/1.73 % (23273)Instruction limit reached!
% 2.22/1.73 % (23273)------------------------------
% 2.22/1.73 % (23273)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.73 % (23273)Termination reason: Unknown
% 2.22/1.73 % (23273)Termination phase: Saturation
% 2.22/1.73
% 2.22/1.73 % (23273)Memory used [KB]: 6396
% 2.22/1.73 % (23273)Time elapsed: 0.068 s
% 2.22/1.73 % (23273)Instructions burned: 127 (million)
% 2.22/1.73 % (23273)------------------------------
% 2.22/1.73 % (23273)------------------------------
% 2.22/1.74 % (23284)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_22886 for (2997ds/100Mi)
% 2.22/1.74 % (23285)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_22886 for (2997ds/3Mi)
% 2.22/1.74 % (23285)Instruction limit reached!
% 2.22/1.74 % (23285)------------------------------
% 2.22/1.74 % (23285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.74 % (23285)Termination reason: Unknown
% 2.22/1.74 % (23285)Termination phase: shuffling
% 2.22/1.74
% 2.22/1.74 % (23285)Memory used [KB]: 1151
% 2.22/1.74 % (23285)Time elapsed: 0.003 s
% 2.22/1.74 % (23285)Instructions burned: 4 (million)
% 2.22/1.74 % (23285)------------------------------
% 2.22/1.74 % (23285)------------------------------
% 2.22/1.75 % (23290)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_22886 for (2997ds/20Mi)
% 2.22/1.76 % (23290)Instruction limit reached!
% 2.22/1.76 % (23290)------------------------------
% 2.22/1.76 % (23290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.76 % (23290)Termination reason: Unknown
% 2.22/1.76 % (23290)Termination phase: Property scanning
% 2.22/1.76
% 2.22/1.76 % (23290)Memory used [KB]: 1279
% 2.22/1.76 % (23290)Time elapsed: 0.008 s
% 2.22/1.76 % (23290)Instructions burned: 21 (million)
% 2.22/1.76 % (23290)------------------------------
% 2.22/1.76 % (23290)------------------------------
% 2.22/1.77 % (23292)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_22886 for (2997ds/86Mi)
% 2.22/1.77 % (23284)Instruction limit reached!
% 2.22/1.77 % (23284)------------------------------
% 2.22/1.77 % (23284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.77 % (23284)Termination reason: Unknown
% 2.22/1.77 % (23284)Termination phase: Saturation
% 2.22/1.77
% 2.22/1.77 % (23284)Memory used [KB]: 6268
% 2.22/1.77 % (23284)Time elapsed: 0.033 s
% 2.22/1.77 % (23284)Instructions burned: 102 (million)
% 2.22/1.77 % (23284)------------------------------
% 2.22/1.77 % (23284)------------------------------
% 2.22/1.77 % (23235)Instruction limit reached!
% 2.22/1.77 % (23235)------------------------------
% 2.22/1.77 % (23235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.77 % (23235)Termination reason: Unknown
% 2.22/1.77 % (23235)Termination phase: Saturation
% 2.22/1.77
% 2.22/1.77 % (23235)Memory used [KB]: 6524
% 2.22/1.77 % (23235)Time elapsed: 0.212 s
% 2.22/1.77 % (23235)Instructions burned: 712 (million)
% 2.22/1.77 % (23235)------------------------------
% 2.22/1.77 % (23235)------------------------------
% 2.22/1.78 % (23298)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_22886 for (2997ds/107Mi)
% 2.22/1.78 % (23301)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_22886 for (2997ds/39Mi)
% 2.22/1.80 % (23301)Instruction limit reached!
% 2.22/1.80 % (23301)------------------------------
% 2.22/1.80 % (23301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.80 % (23301)Termination reason: Unknown
% 2.22/1.80 % (23301)Termination phase: Saturation
% 2.22/1.80
% 2.22/1.80 % (23301)Memory used [KB]: 5884
% 2.22/1.80 % (23301)Time elapsed: 0.012 s
% 2.22/1.80 % (23301)Instructions burned: 41 (million)
% 2.22/1.80 % (23301)------------------------------
% 2.22/1.80 % (23301)------------------------------
% 2.22/1.80 % (23292)Instruction limit reached!
% 2.22/1.80 % (23292)------------------------------
% 2.22/1.80 % (23292)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.80 % (23292)Termination reason: Unknown
% 2.22/1.80 % (23292)Termination phase: Saturation
% 2.22/1.80
% 2.22/1.80 % (23292)Memory used [KB]: 6396
% 2.22/1.80 % (23292)Time elapsed: 0.056 s
% 2.22/1.80 % (23292)Instructions burned: 88 (million)
% 2.22/1.80 % (23292)------------------------------
% 2.22/1.80 % (23292)------------------------------
% 2.22/1.80 % (23305)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_22886 for (2996ds/448Mi)
% 2.22/1.81 % (23306)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_22886 for (2996ds/46Mi)
% 2.22/1.82 % (23298)Instruction limit reached!
% 2.22/1.82 % (23298)------------------------------
% 2.22/1.82 % (23298)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.82 % (23298)Termination reason: Unknown
% 2.22/1.82 % (23298)Termination phase: Saturation
% 2.22/1.82
% 2.22/1.82 % (23298)Memory used [KB]: 6396
% 2.22/1.82 % (23298)Time elapsed: 0.062 s
% 2.22/1.82 % (23298)Instructions burned: 108 (million)
% 2.22/1.82 % (23298)------------------------------
% 2.22/1.82 % (23298)------------------------------
% 2.22/1.82 % (23306)Instruction limit reached!
% 2.22/1.82 % (23306)------------------------------
% 2.22/1.82 % (23306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.82 % (23306)Termination reason: Unknown
% 2.22/1.82 % (23306)Termination phase: Saturation
% 2.22/1.82
% 2.22/1.82 % (23306)Memory used [KB]: 6012
% 2.22/1.82 % (23306)Time elapsed: 0.017 s
% 2.22/1.82 % (23306)Instructions burned: 48 (million)
% 2.22/1.82 % (23306)------------------------------
% 2.22/1.82 % (23306)------------------------------
% 2.22/1.83 % (23312)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_22886 for (2996ds/98Mi)
% 2.22/1.83 % (23313)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_22886 for (2996ds/507Mi)
% 2.22/1.86 % (23216)Instruction limit reached!
% 2.22/1.86 % (23216)------------------------------
% 2.22/1.86 % (23216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.86 % (23216)Termination reason: Unknown
% 2.22/1.86 % (23216)Termination phase: Saturation
% 2.22/1.86
% 2.22/1.86 % (23216)Memory used [KB]: 8187
% 2.22/1.86 % (23216)Time elapsed: 0.338 s
% 2.22/1.86 % (23216)Instructions burned: 1041 (million)
% 2.22/1.86 % (23216)------------------------------
% 2.22/1.86 % (23216)------------------------------
% 2.22/1.86 % (23312)Instruction limit reached!
% 2.22/1.86 % (23312)------------------------------
% 2.22/1.86 % (23312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.86 % (23312)Termination reason: Unknown
% 2.22/1.86 % (23312)Termination phase: Saturation
% 2.22/1.86
% 2.22/1.86 % (23312)Memory used [KB]: 1791
% 2.22/1.86 % (23312)Time elapsed: 0.032 s
% 2.22/1.86 % (23312)Instructions burned: 98 (million)
% 2.22/1.86 % (23312)------------------------------
% 2.22/1.86 % (23312)------------------------------
% 2.22/1.87 % (23324)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_22886 for (2996ds/149Mi)
% 2.22/1.87 % (23325)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_22886 for (2996ds/39Mi)
% 2.22/1.87 % (23247)Instruction limit reached!
% 2.22/1.87 % (23247)------------------------------
% 2.22/1.87 % (23247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.87 % (23247)Termination reason: Unknown
% 2.22/1.87 % (23247)Termination phase: Saturation
% 2.22/1.87
% 2.22/1.87 % (23247)Memory used [KB]: 7419
% 2.22/1.87 % (23247)Time elapsed: 0.257 s
% 2.22/1.87 % (23247)Instructions burned: 780 (million)
% 2.22/1.87 % (23247)------------------------------
% 2.22/1.87 % (23247)------------------------------
% 2.22/1.88 % (23325)Instruction limit reached!
% 2.22/1.88 % (23325)------------------------------
% 2.22/1.88 % (23325)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.88 % (23325)Termination reason: Unknown
% 2.22/1.88 % (23325)Termination phase: Saturation
% 2.22/1.88
% 2.22/1.88 % (23325)Memory used [KB]: 6012
% 2.22/1.88 % (23325)Time elapsed: 0.014 s
% 2.22/1.88 % (23325)Instructions burned: 40 (million)
% 2.22/1.88 % (23325)------------------------------
% 2.22/1.88 % (23325)------------------------------
% 2.22/1.88 % (23328)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_22886 for (2996ds/6Mi)
% 2.22/1.88 % (23328)Instruction limit reached!
% 2.22/1.88 % (23328)------------------------------
% 2.22/1.88 % (23328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.88 % (23328)Termination reason: Unknown
% 2.22/1.88 % (23328)Termination phase: shuffling
% 2.22/1.88
% 2.22/1.88 % (23328)Memory used [KB]: 1279
% 2.22/1.88 % (23328)Time elapsed: 0.004 s
% 2.22/1.88 % (23328)Instructions burned: 8 (million)
% 2.22/1.88 % (23328)------------------------------
% 2.22/1.88 % (23328)------------------------------
% 2.22/1.89 % (23332)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_22886 for (2995ds/1087Mi)
% 2.22/1.89 % (23237)Instruction limit reached!
% 2.22/1.89 % (23237)------------------------------
% 2.22/1.89 % (23237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.89 % (23237)Termination reason: Unknown
% 2.22/1.89 % (23237)Termination phase: Saturation
% 2.22/1.89
% 2.22/1.89 % (23237)Memory used [KB]: 9083
% 2.22/1.89 % (23237)Time elapsed: 0.311 s
% 2.22/1.89 % (23237)Instructions burned: 902 (million)
% 2.22/1.89 % (23237)------------------------------
% 2.22/1.89 % (23237)------------------------------
% 2.22/1.89 % (23333)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_22886 for (2995ds/47Mi)
% 2.22/1.90 % (23254)Instruction limit reached!
% 2.22/1.90 % (23254)------------------------------
% 2.22/1.90 % (23254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.90 % (23254)Termination reason: Unknown
% 2.22/1.90 % (23254)Termination phase: Saturation
% 2.22/1.90
% 2.22/1.90 % (23254)Memory used [KB]: 6908
% 2.22/1.90 % (23254)Time elapsed: 0.291 s
% 2.22/1.90 % (23254)Instructions burned: 879 (million)
% 2.22/1.90 % (23254)------------------------------
% 2.22/1.90 % (23254)------------------------------
% 2.22/1.90 % (23335)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_22886 for (2995ds/44Mi)
% 2.22/1.91 % (23337)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_22886 for (2995ds/432Mi)
% 2.22/1.91 % (23333)Instruction limit reached!
% 2.22/1.91 % (23333)------------------------------
% 2.22/1.91 % (23333)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.91 % (23333)Termination reason: Unknown
% 2.22/1.91 % (23333)Termination phase: Saturation
% 2.22/1.91
% 2.22/1.91 % (23333)Memory used [KB]: 6012
% 2.22/1.91 % (23333)Time elapsed: 0.017 s
% 2.22/1.91 % (23333)Instructions burned: 49 (million)
% 2.22/1.91 % (23333)------------------------------
% 2.22/1.91 % (23333)------------------------------
% 2.22/1.91 % (23324)Instruction limit reached!
% 2.22/1.91 % (23324)------------------------------
% 2.22/1.91 % (23324)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.91 % (23324)Termination reason: Unknown
% 2.22/1.91 % (23324)Termination phase: Saturation
% 2.22/1.91
% 2.22/1.91 % (23324)Memory used [KB]: 6524
% 2.22/1.91 % (23324)Time elapsed: 0.047 s
% 2.22/1.91 % (23324)Instructions burned: 149 (million)
% 2.22/1.91 % (23324)------------------------------
% 2.22/1.91 % (23324)------------------------------
% 2.22/1.92 % (23335)Instruction limit reached!
% 2.22/1.92 % (23335)------------------------------
% 2.22/1.92 % (23335)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.92 % (23335)Termination reason: Unknown
% 2.22/1.92 % (23335)Termination phase: Saturation
% 2.22/1.92
% 2.22/1.92 % (23335)Memory used [KB]: 1407
% 2.22/1.92 % (23335)Time elapsed: 0.015 s
% 2.22/1.92 % (23335)Instructions burned: 46 (million)
% 2.22/1.92 % (23335)------------------------------
% 2.22/1.92 % (23335)------------------------------
% 2.22/1.92 % (23341)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_22886 for (2995ds/62Mi)
% 2.22/1.92 % (23342)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_22886 for (2995ds/31Mi)
% 2.22/1.93 % (23343)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_22886 for (2995ds/96Mi)
% 2.22/1.93 % (23342)Instruction limit reached!
% 2.22/1.93 % (23342)------------------------------
% 2.22/1.93 % (23342)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.93 % (23342)Termination reason: Unknown
% 2.22/1.93 % (23342)Termination phase: Saturation
% 2.22/1.93
% 2.22/1.93 % (23342)Memory used [KB]: 5884
% 2.22/1.93 % (23342)Time elapsed: 0.010 s
% 2.22/1.93 % (23342)Instructions burned: 32 (million)
% 2.22/1.93 % (23342)------------------------------
% 2.22/1.93 % (23342)------------------------------
% 2.22/1.94 % (23341)Instruction limit reached!
% 2.22/1.94 % (23341)------------------------------
% 2.22/1.94 % (23341)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.94 % (23341)Termination reason: Unknown
% 2.22/1.94 % (23341)Termination phase: Saturation
% 2.22/1.94
% 2.22/1.94 % (23341)Memory used [KB]: 6140
% 2.22/1.94 % (23341)Time elapsed: 0.021 s
% 2.22/1.94 % (23341)Instructions burned: 63 (million)
% 2.22/1.94 % (23341)------------------------------
% 2.22/1.94 % (23341)------------------------------
% 2.22/1.94 % (23305)Instruction limit reached!
% 2.22/1.94 % (23305)------------------------------
% 2.22/1.94 % (23305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.94 % (23305)Termination reason: Unknown
% 2.22/1.94 % (23305)Termination phase: Saturation
% 2.22/1.94
% 2.22/1.94 % (23305)Memory used [KB]: 7164
% 2.22/1.94 % (23305)Time elapsed: 0.135 s
% 2.22/1.94 % (23305)Instructions burned: 449 (million)
% 2.22/1.94 % (23305)------------------------------
% 2.22/1.94 % (23305)------------------------------
% 2.22/1.94 % (23349)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_22886 for (2995ds/453Mi)
% 2.22/1.95 % (23351)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_22886 for (2995ds/83Mi)
% 2.22/1.95 % (23350)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_22886 for (2995ds/71Mi)
% 2.22/1.96 % (23343)Instruction limit reached!
% 2.22/1.96 % (23343)------------------------------
% 2.22/1.96 % (23343)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.96 % (23343)Termination reason: Unknown
% 2.22/1.96 % (23343)Termination phase: Saturation
% 2.22/1.96
% 2.22/1.96 % (23343)Memory used [KB]: 6268
% 2.22/1.96 % (23343)Time elapsed: 0.037 s
% 2.22/1.96 % (23343)Instructions burned: 98 (million)
% 2.22/1.96 % (23343)------------------------------
% 2.22/1.96 % (23343)------------------------------
% 2.22/1.97 % (23350)Instruction limit reached!
% 2.22/1.97 % (23350)------------------------------
% 2.22/1.97 % (23350)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.97 % (23350)Termination reason: Unknown
% 2.22/1.97 % (23350)Termination phase: Saturation
% 2.22/1.97
% 2.22/1.97 % (23350)Memory used [KB]: 6268
% 2.22/1.97 % (23350)Time elapsed: 0.025 s
% 2.22/1.97 % (23350)Instructions burned: 73 (million)
% 2.22/1.97 % (23350)------------------------------
% 2.22/1.97 % (23350)------------------------------
% 2.22/1.97 % (23359)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_22886 for (2995ds/11Mi)
% 2.22/1.97 % (23359)Instruction limit reached!
% 2.22/1.97 % (23359)------------------------------
% 2.22/1.97 % (23359)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.97 % (23359)Termination reason: Unknown
% 2.22/1.97 % (23359)Termination phase: shuffling
% 2.22/1.97
% 2.22/1.97 % (23359)Memory used [KB]: 1279
% 2.22/1.97 % (23359)Time elapsed: 0.004 s
% 2.22/1.97 % (23359)Instructions burned: 11 (million)
% 2.22/1.97 % (23359)------------------------------
% 2.22/1.97 % (23359)------------------------------
% 2.22/1.97 % (23351)Instruction limit reached!
% 2.22/1.97 % (23351)------------------------------
% 2.22/1.97 % (23351)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.97 % (23351)Termination reason: Unknown
% 2.22/1.97 % (23351)Termination phase: Saturation
% 2.22/1.97
% 2.22/1.97 % (23351)Memory used [KB]: 6140
% 2.22/1.97 % (23351)Time elapsed: 0.028 s
% 2.22/1.97 % (23351)Instructions burned: 85 (million)
% 2.22/1.97 % (23351)------------------------------
% 2.22/1.97 % (23351)------------------------------
% 2.22/1.98 % (23363)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_22886 for (2995ds/41Mi)
% 2.22/1.98 % (23364)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_22886 for (2995ds/6Mi)
% 2.22/1.98 % (23365)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_22886 for (2995ds/150Mi)
% 2.22/1.99 % (23364)Instruction limit reached!
% 2.22/1.99 % (23364)------------------------------
% 2.22/1.99 % (23364)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.99 % (23364)Termination reason: Unknown
% 2.22/1.99 % (23364)Termination phase: Property scanning
% 2.22/1.99
% 2.22/1.99 % (23364)Memory used [KB]: 1151
% 2.22/1.99 % (23364)Time elapsed: 0.003 s
% 2.22/1.99 % (23364)Instructions burned: 7 (million)
% 2.22/1.99 % (23364)------------------------------
% 2.22/1.99 % (23364)------------------------------
% 2.22/1.99 % (23363)Instruction limit reached!
% 2.22/1.99 % (23363)------------------------------
% 2.22/1.99 % (23363)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/1.99 % (23363)Termination reason: Unknown
% 2.22/1.99 % (23363)Termination phase: Saturation
% 2.22/1.99
% 2.22/1.99 % (23363)Memory used [KB]: 5884
% 2.22/1.99 % (23363)Time elapsed: 0.012 s
% 2.22/1.99 % (23363)Instructions burned: 44 (million)
% 2.22/1.99 % (23363)------------------------------
% 2.22/1.99 % (23363)------------------------------
% 2.22/2.00 % (23368)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_22886 for (2995ds/343Mi)
% 2.22/2.00 % (23313)Instruction limit reached!
% 2.22/2.00 % (23313)------------------------------
% 2.22/2.00 % (23313)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.22/2.00 % (23313)Termination reason: Unknown
% 2.22/2.00 % (23313)Termination phase: Saturation
% 2.22/2.00
% 2.22/2.00 % (23313)Memory used [KB]: 7036
% 2.22/2.00 % (23313)Time elapsed: 0.170 s
% 2.22/2.00 % (23313)Instructions burned: 507 (million)
% 2.22/2.00 % (23313)------------------------------
% 2.22/2.00 % (23313)------------------------------
% 2.22/2.00 % (23372)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_22886 for (2994ds/109Mi)
% 2.22/2.01 % (23373)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_22886 for (2994ds/253Mi)
% 5.84/2.03 % (23365)Instruction limit reached!
% 5.84/2.03 % (23365)------------------------------
% 5.84/2.03 % (23365)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.03 % (23365)Termination reason: Unknown
% 5.84/2.03 % (23365)Termination phase: Saturation
% 5.84/2.03
% 5.84/2.03 % (23365)Memory used [KB]: 6268
% 5.84/2.03 % (23365)Time elapsed: 0.049 s
% 5.84/2.03 % (23365)Instructions burned: 152 (million)
% 5.84/2.03 % (23365)------------------------------
% 5.84/2.03 % (23365)------------------------------
% 5.84/2.04 % (23372)Instruction limit reached!
% 5.84/2.04 % (23372)------------------------------
% 5.84/2.04 % (23372)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.04 % (23372)Termination reason: Unknown
% 5.84/2.04 % (23372)Termination phase: Saturation
% 5.84/2.04
% 5.84/2.04 % (23372)Memory used [KB]: 6396
% 5.84/2.04 % (23372)Time elapsed: 0.037 s
% 5.84/2.04 % (23372)Instructions burned: 111 (million)
% 5.84/2.04 % (23372)------------------------------
% 5.84/2.04 % (23372)------------------------------
% 5.84/2.04 % (23383)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_22886 for (2994ds/140Mi)
% 5.84/2.05 % (23385)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_22886 for (2994ds/614Mi)
% 5.84/2.07 % (23349)Instruction limit reached!
% 5.84/2.07 % (23349)------------------------------
% 5.84/2.07 % (23349)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.07 % (23349)Termination reason: Unknown
% 5.84/2.07 % (23349)Termination phase: Saturation
% 5.84/2.07
% 5.84/2.07 % (23349)Memory used [KB]: 6780
% 5.84/2.07 % (23349)Time elapsed: 0.131 s
% 5.84/2.07 % (23349)Instructions burned: 453 (million)
% 5.84/2.07 % (23349)------------------------------
% 5.84/2.07 % (23349)------------------------------
% 5.84/2.08 % (23395)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_22886 for (2994ds/202Mi)
% 5.84/2.08 % (23337)Instruction limit reached!
% 5.84/2.08 % (23337)------------------------------
% 5.84/2.08 % (23337)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.08 % (23337)Termination reason: Unknown
% 5.84/2.08 % (23337)Termination phase: Saturation
% 5.84/2.08
% 5.84/2.08 % (23337)Memory used [KB]: 3070
% 5.84/2.08 % (23337)Time elapsed: 0.178 s
% 5.84/2.08 % (23337)Instructions burned: 432 (million)
% 5.84/2.08 % (23337)------------------------------
% 5.84/2.08 % (23337)------------------------------
% 5.84/2.09 % (23383)Instruction limit reached!
% 5.84/2.09 % (23383)------------------------------
% 5.84/2.09 % (23383)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.09 % (23383)Termination reason: Unknown
% 5.84/2.09 % (23383)Termination phase: Saturation
% 5.84/2.09
% 5.84/2.09 % (23383)Memory used [KB]: 5884
% 5.84/2.09 % (23383)Time elapsed: 0.046 s
% 5.84/2.09 % (23383)Instructions burned: 142 (million)
% 5.84/2.09 % (23383)------------------------------
% 5.84/2.09 % (23383)------------------------------
% 5.84/2.09 % (23373)Instruction limit reached!
% 5.84/2.09 % (23373)------------------------------
% 5.84/2.09 % (23373)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.09 % (23373)Termination reason: Unknown
% 5.84/2.09 % (23373)Termination phase: Saturation
% 5.84/2.09
% 5.84/2.09 % (23373)Memory used [KB]: 7164
% 5.84/2.09 % (23373)Time elapsed: 0.080 s
% 5.84/2.09 % (23373)Instructions burned: 254 (million)
% 5.84/2.09 % (23373)------------------------------
% 5.84/2.09 % (23373)------------------------------
% 5.84/2.10 % (23400)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_22886 for (2994ds/283Mi)
% 5.84/2.10 % (23402)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_22886 for (2994ds/134Mi)
% 5.84/2.10 % (23399)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_22886 for (2994ds/339Mi)
% 5.84/2.10 % (23368)Instruction limit reached!
% 5.84/2.10 % (23368)------------------------------
% 5.84/2.10 % (23368)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.10 % (23368)Termination reason: Unknown
% 5.84/2.10 % (23368)Termination phase: Saturation
% 5.84/2.10
% 5.84/2.10 % (23368)Memory used [KB]: 6652
% 5.84/2.10 % (23368)Time elapsed: 0.110 s
% 5.84/2.10 % (23368)Instructions burned: 343 (million)
% 5.84/2.10 % (23368)------------------------------
% 5.84/2.10 % (23368)------------------------------
% 6.39/2.11 % (23410)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_22886 for (2993ds/298Mi)
% 6.39/2.14 % (23402)Instruction limit reached!
% 6.39/2.14 % (23402)------------------------------
% 6.39/2.14 % (23402)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.39/2.14 % (23402)Termination reason: Unknown
% 6.39/2.14 % (23402)Termination phase: Saturation
% 6.39/2.14
% 6.39/2.14 % (23402)Memory used [KB]: 6396
% 6.39/2.14 % (23402)Time elapsed: 0.043 s
% 6.39/2.14 % (23402)Instructions burned: 136 (million)
% 6.39/2.14 % (23402)------------------------------
% 6.39/2.14 % (23402)------------------------------
% 6.39/2.14 % (23395)Instruction limit reached!
% 6.39/2.14 % (23395)------------------------------
% 6.39/2.14 % (23395)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.39/2.14 % (23395)Termination reason: Unknown
% 6.39/2.14 % (23395)Termination phase: Saturation
% 6.39/2.14
% 6.39/2.14 % (23395)Memory used [KB]: 6268
% 6.39/2.14 % (23395)Time elapsed: 0.065 s
% 6.39/2.14 % (23395)Instructions burned: 204 (million)
% 6.39/2.14 % (23395)------------------------------
% 6.39/2.14 % (23395)------------------------------
% 6.39/2.15 % (23416)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_22886 for (2993ds/192Mi)
% 6.39/2.15 % (23417)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_22886 for (2993ds/258Mi)
% 6.39/2.19 % (23400)Instruction limit reached!
% 6.39/2.19 % (23400)------------------------------
% 6.39/2.19 % (23400)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.39/2.19 % (23400)Termination reason: Unknown
% 6.39/2.19 % (23400)Termination phase: Saturation
% 6.39/2.19
% 6.39/2.19 % (23400)Memory used [KB]: 6908
% 6.39/2.19 % (23400)Time elapsed: 0.090 s
% 6.39/2.19 % (23400)Instructions burned: 283 (million)
% 6.39/2.19 % (23400)------------------------------
% 6.39/2.19 % (23400)------------------------------
% 6.39/2.19 % (23429)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_22886 for (2993ds/90Mi)
% 6.70/2.21 % (23416)Instruction limit reached!
% 6.70/2.21 % (23416)------------------------------
% 6.70/2.21 % (23416)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.70/2.21 % (23416)Termination reason: Unknown
% 6.70/2.21 % (23416)Termination phase: Saturation
% 6.70/2.21
% 6.70/2.21 % (23416)Memory used [KB]: 6524
% 6.70/2.21 % (23416)Time elapsed: 0.060 s
% 6.70/2.21 % (23416)Instructions burned: 192 (million)
% 6.70/2.21 % (23416)------------------------------
% 6.70/2.21 % (23416)------------------------------
% 6.70/2.21 % (23410)Instruction limit reached!
% 6.70/2.21 % (23410)------------------------------
% 6.70/2.21 % (23410)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.70/2.21 % (23410)Termination reason: Unknown
% 6.70/2.21 % (23410)Termination phase: Saturation
% 6.70/2.21
% 6.70/2.21 % (23410)Memory used [KB]: 7291
% 6.70/2.21 % (23410)Time elapsed: 0.118 s
% 6.70/2.21 % (23410)Instructions burned: 298 (million)
% 6.70/2.21 % (23410)------------------------------
% 6.70/2.21 % (23410)------------------------------
% 6.70/2.22 % (23435)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_22886 for (2992ds/231Mi)
% 6.70/2.22 % (23332)Instruction limit reached!
% 6.70/2.22 % (23332)------------------------------
% 6.70/2.22 % (23332)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.70/2.22 % (23332)Termination reason: Unknown
% 6.70/2.22 % (23332)Termination phase: Saturation
% 6.70/2.22
% 6.70/2.22 % (23332)Memory used [KB]: 7419
% 6.70/2.22 % (23332)Time elapsed: 0.330 s
% 6.70/2.22 % (23332)Instructions burned: 1088 (million)
% 6.70/2.22 % (23332)------------------------------
% 6.70/2.22 % (23332)------------------------------
% 6.70/2.22 % (23437)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_22886 for (2992ds/458Mi)
% 6.70/2.22 % (23429)Instruction limit reached!
% 6.70/2.22 % (23429)------------------------------
% 6.70/2.22 % (23429)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.70/2.22 % (23429)Termination reason: Unknown
% 6.70/2.22 % (23429)Termination phase: Saturation
% 6.70/2.22
% 6.70/2.22 % (23429)Memory used [KB]: 6396
% 6.70/2.22 % (23429)Time elapsed: 0.050 s
% 6.70/2.22 % (23429)Instructions burned: 92 (million)
% 6.70/2.22 % (23429)------------------------------
% 6.70/2.22 % (23429)------------------------------
% 6.70/2.23 % (23441)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_22886 for (2992ds/31Mi)
% 6.70/2.23 % (23417)Instruction limit reached!
% 6.70/2.23 % (23417)------------------------------
% 6.70/2.23 % (23417)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.70/2.23 % (23417)Termination reason: Unknown
% 6.70/2.23 % (23417)Termination phase: Saturation
% 6.70/2.23
% 6.70/2.23 % (23417)Memory used [KB]: 7675
% 6.70/2.23 % (23417)Time elapsed: 0.099 s
% 6.70/2.23 % (23417)Instructions burned: 260 (million)
% 6.70/2.23 % (23417)------------------------------
% 6.70/2.23 % (23417)------------------------------
% 6.70/2.23 % (23399)Instruction limit reached!
% 6.70/2.23 % (23399)------------------------------
% 6.70/2.23 % (23399)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.70/2.23 % (23399)Termination reason: Unknown
% 6.70/2.23 % (23399)Termination phase: Saturation
% 6.70/2.23
% 6.70/2.23 % (23399)Memory used [KB]: 6908
% 6.70/2.23 % (23399)Time elapsed: 0.131 s
% 6.70/2.23 % (23399)Instructions burned: 339 (million)
% 6.70/2.23 % (23399)------------------------------
% 6.70/2.23 % (23399)------------------------------
% 6.70/2.23 % (23442)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_22886 for (2992ds/297Mi)
% 6.70/2.24 % (23441)Instruction limit reached!
% 6.70/2.24 % (23441)------------------------------
% 6.70/2.24 % (23441)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.70/2.24 % (23441)Termination reason: Unknown
% 6.70/2.24 % (23441)Termination phase: Saturation
% 6.70/2.24
% 6.70/2.24 % (23441)Memory used [KB]: 5884
% 6.70/2.24 % (23441)Time elapsed: 0.010 s
% 6.70/2.24 % (23441)Instructions burned: 33 (million)
% 6.70/2.24 % (23441)------------------------------
% 6.70/2.24 % (23441)------------------------------
% 6.70/2.24 % (23443)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_22886 for (2992ds/987Mi)
% 6.70/2.24 % (23444)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_22886 for (2992ds/182Mi)
% 6.70/2.24 % (23385)Instruction limit reached!
% 6.70/2.24 % (23385)------------------------------
% 6.70/2.24 % (23385)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.70/2.24 % (23385)Termination reason: Unknown
% 6.70/2.24 % (23385)Termination phase: Saturation
% 6.70/2.24
% 6.70/2.24 % (23385)Memory used [KB]: 7803
% 6.70/2.24 % (23385)Time elapsed: 0.196 s
% 6.70/2.24 % (23385)Instructions burned: 616 (million)
% 6.70/2.24 % (23385)------------------------------
% 6.70/2.24 % (23385)------------------------------
% 6.70/2.25 % (23450)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_22886 for (2992ds/182Mi)
% 6.70/2.25 % (23451)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_22886 for (2992ds/154Mi)
% 6.70/2.27 % (23451)Refutation not found, incomplete strategy
% 6.70/2.27 % (23451)------------------------------
% 6.70/2.27 % (23451)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.70/2.27 % (23451)Termination reason: Refutation not found, incomplete strategy
% 6.70/2.27
% 6.70/2.27
% 6.70/2.27 % (23451)Memory used [KB]: 6140
% 6.70/2.27 % (23451)Time elapsed: 0.019 s
% 6.70/2.27 % (23451)Instructions burned: 62 (million)
% 6.70/2.27 % (23451)------------------------------
% 6.70/2.27 % (23451)------------------------------
% 6.70/2.28 % (23461)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_22886 for (2992ds/79Mi)
% 6.70/2.29 % (23435)Instruction limit reached!
% 6.70/2.29 % (23435)------------------------------
% 6.70/2.29 % (23435)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.70/2.29 % (23435)Termination reason: Unknown
% 6.70/2.29 % (23435)Termination phase: Saturation
% 6.70/2.29
% 6.70/2.29 % (23435)Memory used [KB]: 6524
% 6.70/2.29 % (23435)Time elapsed: 0.097 s
% 6.70/2.29 % (23435)Instructions burned: 233 (million)
% 6.70/2.29 % (23435)------------------------------
% 6.70/2.29 % (23435)------------------------------
% 7.51/2.30 % (23444)Instruction limit reached!
% 7.51/2.30 % (23444)------------------------------
% 7.51/2.30 % (23444)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.51/2.30 % (23444)Termination reason: Unknown
% 7.51/2.30 % (23444)Termination phase: Saturation
% 7.51/2.30
% 7.51/2.30 % (23444)Memory used [KB]: 6396
% 7.51/2.30 % (23444)Time elapsed: 0.061 s
% 7.51/2.30 % (23444)Instructions burned: 183 (million)
% 7.51/2.30 % (23444)------------------------------
% 7.51/2.30 % (23444)------------------------------
% 7.51/2.30 % (23468)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_22886 for (2991ds/216Mi)
% 7.51/2.30 % (23450)Instruction limit reached!
% 7.51/2.30 % (23450)------------------------------
% 7.51/2.30 % (23450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.51/2.30 % (23450)Termination reason: Unknown
% 7.51/2.30 % (23450)Termination phase: Saturation
% 7.51/2.30
% 7.51/2.30 % (23450)Memory used [KB]: 6396
% 7.51/2.30 % (23450)Time elapsed: 0.058 s
% 7.51/2.30 % (23450)Instructions burned: 182 (million)
% 7.51/2.30 % (23450)------------------------------
% 7.51/2.30 % (23450)------------------------------
% 7.51/2.30 % (23461)Instruction limit reached!
% 7.51/2.30 % (23461)------------------------------
% 7.51/2.30 % (23461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.51/2.30 % (23461)Termination reason: Unknown
% 7.51/2.30 % (23461)Termination phase: Saturation
% 7.51/2.30
% 7.51/2.30 % (23461)Memory used [KB]: 6268
% 7.51/2.30 % (23461)Time elapsed: 0.026 s
% 7.51/2.30 % (23461)Instructions burned: 81 (million)
% 7.51/2.30 % (23461)------------------------------
% 7.51/2.30 % (23461)------------------------------
% 7.51/2.31 % (23470)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_22886 for (2991ds/114Mi)
% 7.51/2.31 % (23473)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_22886 for (2991ds/922Mi)
% 7.51/2.31 % (23474)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_22886 for (2991ds/182Mi)
% 7.51/2.32 % (23442)Instruction limit reached!
% 7.51/2.32 % (23442)------------------------------
% 7.51/2.32 % (23442)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.51/2.32 % (23442)Termination reason: Unknown
% 7.51/2.32 % (23442)Termination phase: Saturation
% 7.51/2.32
% 7.51/2.32 % (23442)Memory used [KB]: 6780
% 7.51/2.32 % (23442)Time elapsed: 0.092 s
% 7.51/2.32 % (23442)Instructions burned: 297 (million)
% 7.51/2.32 % (23442)------------------------------
% 7.51/2.32 % (23442)------------------------------
% 7.51/2.33 % (23478)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_22886 for (2991ds/164Mi)
% 7.51/2.35 % (23470)Instruction limit reached!
% 7.51/2.35 % (23470)------------------------------
% 7.51/2.35 % (23470)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.51/2.35 % (23470)Termination reason: Unknown
% 7.51/2.35 % (23470)Termination phase: Saturation
% 7.51/2.35
% 7.51/2.35 % (23470)Memory used [KB]: 6396
% 7.51/2.35 % (23470)Time elapsed: 0.040 s
% 7.51/2.35 % (23470)Instructions burned: 116 (million)
% 7.51/2.35 % (23470)------------------------------
% 7.51/2.35 % (23470)------------------------------
% 7.51/2.36 % (23484)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_22886 for (2991ds/50Mi)
% 7.51/2.37 % (23468)Instruction limit reached!
% 7.51/2.37 % (23468)------------------------------
% 7.51/2.37 % (23468)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.51/2.37 % (23468)Termination reason: Unknown
% 7.51/2.37 % (23468)Termination phase: Saturation
% 7.51/2.37
% 7.51/2.37 % (23468)Memory used [KB]: 6396
% 7.51/2.37 % (23468)Time elapsed: 0.066 s
% 7.51/2.37 % (23468)Instructions burned: 218 (million)
% 7.51/2.37 % (23468)------------------------------
% 7.51/2.37 % (23468)------------------------------
% 7.51/2.37 % (23474)Instruction limit reached!
% 7.51/2.37 % (23474)------------------------------
% 7.51/2.37 % (23474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.51/2.37 % (23474)Termination reason: Unknown
% 7.51/2.37 % (23474)Termination phase: Saturation
% 7.51/2.37
% 7.51/2.37 % (23474)Memory used [KB]: 6652
% 7.51/2.37 % (23474)Time elapsed: 0.055 s
% 7.51/2.37 % (23474)Instructions burned: 184 (million)
% 7.51/2.37 % (23474)------------------------------
% 7.51/2.37 % (23474)------------------------------
% 7.51/2.37 % (23437)Instruction limit reached!
% 7.51/2.37 % (23437)------------------------------
% 7.51/2.37 % (23437)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.51/2.37 % (23437)Termination reason: Unknown
% 7.51/2.37 % (23437)Termination phase: Saturation
% 7.51/2.37
% 7.51/2.37 % (23437)Memory used [KB]: 7164
% 7.51/2.37 % (23437)Time elapsed: 0.176 s
% 7.51/2.37 % (23437)Instructions burned: 459 (million)
% 7.51/2.37 % (23437)------------------------------
% 7.51/2.37 % (23437)------------------------------
% 7.51/2.37 % (23484)Instruction limit reached!
% 7.51/2.37 % (23484)------------------------------
% 7.51/2.37 % (23484)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.51/2.37 % (23484)Termination reason: Unknown
% 7.51/2.37 % (23484)Termination phase: Saturation
% 7.51/2.37
% 7.51/2.37 % (23484)Memory used [KB]: 10490
% 7.51/2.37 % (23484)Time elapsed: 0.017 s
% 7.51/2.37 % (23484)Instructions burned: 52 (million)
% 7.51/2.37 % (23484)------------------------------
% 7.51/2.37 % (23484)------------------------------
% 7.51/2.38 % (23490)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_22886 for (2991ds/368Mi)
% 7.51/2.38 % (23491)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_22886 for (2991ds/1021Mi)
% 7.51/2.38 % (23478)Instruction limit reached!
% 7.51/2.38 % (23478)------------------------------
% 7.51/2.38 % (23478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.51/2.38 % (23478)Termination reason: Unknown
% 7.51/2.38 % (23478)Termination phase: Saturation
% 7.51/2.38
% 7.51/2.38 % (23478)Memory used [KB]: 1663
% 7.51/2.38 % (23478)Time elapsed: 0.050 s
% 7.51/2.38 % (23478)Instructions burned: 167 (million)
% 7.51/2.38 % (23478)------------------------------
% 7.51/2.38 % (23478)------------------------------
% 7.51/2.38 % (23492)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_22886 for (2991ds/267Mi)
% 7.51/2.38 % (23494)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_22886 for (2991ds/204Mi)
% 7.51/2.39 % (23496)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_22886 for (2990ds/26Mi)
% 8.21/2.40 % (23496)Instruction limit reached!
% 8.21/2.40 % (23496)------------------------------
% 8.21/2.40 % (23496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.21/2.40 % (23496)Termination reason: Unknown
% 8.21/2.40 % (23496)Termination phase: Property scanning
% 8.21/2.40
% 8.21/2.40 % (23496)Memory used [KB]: 1407
% 8.21/2.40 % (23496)Time elapsed: 0.008 s
% 8.21/2.40 % (23496)Instructions burned: 28 (million)
% 8.21/2.40 % (23496)------------------------------
% 8.21/2.40 % (23496)------------------------------
% 8.21/2.41 % (23502)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_22886 for (2990ds/53Mi)
% 8.21/2.42 % (23502)Instruction limit reached!
% 8.21/2.42 % (23502)------------------------------
% 8.21/2.42 % (23502)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.21/2.42 % (23502)Termination reason: Unknown
% 8.21/2.42 % (23502)Termination phase: Saturation
% 8.21/2.42
% 8.21/2.42 % (23502)Memory used [KB]: 6012
% 8.21/2.42 % (23502)Time elapsed: 0.016 s
% 8.21/2.42 % (23502)Instructions burned: 55 (million)
% 8.21/2.42 % (23502)------------------------------
% 8.21/2.42 % (23502)------------------------------
% 8.21/2.43 % (23511)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_22886 for (2990ds/4436Mi)
% 8.21/2.45 % (23494)Instruction limit reached!
% 8.21/2.45 % (23494)------------------------------
% 8.21/2.45 % (23494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.21/2.45 % (23494)Termination reason: Unknown
% 8.21/2.45 % (23494)Termination phase: Saturation
% 8.21/2.45
% 8.21/2.45 % (23494)Memory used [KB]: 6140
% 8.21/2.45 % (23494)Time elapsed: 0.067 s
% 8.21/2.45 % (23494)Instructions burned: 206 (million)
% 8.21/2.45 % (23494)------------------------------
% 8.21/2.45 % (23494)------------------------------
% 8.21/2.46 % (23519)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_22886 for (2990ds/1539Mi)
% 8.21/2.47 % (23492)Instruction limit reached!
% 8.21/2.47 % (23492)------------------------------
% 8.21/2.47 % (23492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.21/2.47 % (23492)Termination reason: Unknown
% 8.21/2.47 % (23492)Termination phase: Saturation
% 8.21/2.47
% 8.21/2.47 % (23492)Memory used [KB]: 6652
% 8.21/2.47 % (23492)Time elapsed: 0.089 s
% 8.21/2.47 % (23492)Instructions burned: 267 (million)
% 8.21/2.47 % (23492)------------------------------
% 8.21/2.47 % (23492)------------------------------
% 8.21/2.48 % (23528)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_22886 for (2990ds/408Mi)
% 8.21/2.50 % (23490)Instruction limit reached!
% 8.21/2.50 % (23490)------------------------------
% 8.21/2.50 % (23490)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.21/2.50 % (23490)Termination reason: Unknown
% 8.21/2.50 % (23490)Termination phase: Saturation
% 8.21/2.50
% 8.21/2.50 % (23490)Memory used [KB]: 7291
% 8.21/2.50 % (23490)Time elapsed: 0.121 s
% 8.21/2.50 % (23490)Instructions burned: 370 (million)
% 8.21/2.50 % (23490)------------------------------
% 8.21/2.50 % (23490)------------------------------
% 8.55/2.50 % (23534)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_22886 for (2989ds/5205Mi)
% 8.55/2.54 % (23473)First to succeed.
% 8.55/2.54 % (23473)Refutation found. Thanks to Tanya!
% 8.55/2.54 % SZS status Theorem for DTF2THF_22886
% 8.55/2.54 % SZS output start Proof for DTF2THF_22886
% 8.55/2.54 thf(type_def_5, type, d: $tType).
% 8.55/2.54 thf(type_def_7, type, u: $tType).
% 8.55/2.54 thf(type_def_8, type, du: $tType).
% 8.55/2.54 thf(type_def_9, type, mono_2Etyop_2Eextreal_2Eextreal: $tType).
% 8.55/2.54 thf(func_def_0, type, u: $tType).
% 8.55/2.54 thf(func_def_1, type, d: $tType).
% 8.55/2.54 thf(func_def_2, type, du: $tType).
% 8.55/2.54 thf(func_def_3, type, mono_2Etyop_2Eextreal_2Eextreal: $tType).
% 8.55/2.54 thf(func_def_4, type, tyop_2Eextreal_2Eextreal: d).
% 8.55/2.54 thf(func_def_5, type, tyop_2Emin_2Ebool: d).
% 8.55/2.54 thf(func_def_6, type, tyop_2Emin_2Efun: d > d > d).
% 8.55/2.54 thf(func_def_7, type, s: d > u > du).
% 8.55/2.54 thf(func_def_8, type, app_2E2: du > du > u).
% 8.55/2.54 thf(func_def_9, type, combin_i_2E0: u).
% 8.55/2.54 thf(func_def_10, type, combin_k_2E0: u).
% 8.55/2.54 thf(func_def_11, type, combin_s_2E0: u).
% 8.55/2.54 thf(func_def_12, type, c_2Ebool_2E_21_2E0: u).
% 8.55/2.54 thf(func_def_13, type, c_2Ebool_2E_21_2E1: du > u).
% 8.55/2.54 thf(func_def_14, type, c_2Ebool_2E_2F_5C_2E0: u).
% 8.55/2.54 thf(func_def_15, type, c_2Ebool_2E_2F_5C_2E2: du > du > u).
% 8.55/2.54 thf(func_def_16, type, c_2Emin_2E_3D_2E0: u).
% 8.55/2.54 thf(func_def_17, type, c_2Emin_2E_3D_2E2: du > du > u).
% 8.55/2.54 thf(func_def_18, type, c_2Emin_2E_3D_3D_3E_2E0: u).
% 8.55/2.54 thf(func_def_19, type, c_2Emin_2E_3D_3D_3E_2E2: du > du > u).
% 8.55/2.54 thf(func_def_20, type, c_2Ebool_2E_3F_2E0: u).
% 8.55/2.54 thf(func_def_21, type, c_2Ebool_2E_3F_2E1: du > u).
% 8.55/2.54 thf(func_def_22, type, c_2Ebool_2ECOND_2E0: u).
% 8.55/2.54 thf(func_def_23, type, c_2Ebool_2ECOND_2E3: du > du > du > u).
% 8.55/2.54 thf(func_def_24, type, c_2Ebool_2EF_2E0: u).
% 8.55/2.54 thf(func_def_25, type, c_2Ebool_2ET_2E0: u).
% 8.55/2.54 thf(func_def_26, type, c_2Ebool_2E_5C_2F_2E0: u).
% 8.55/2.54 thf(func_def_27, type, c_2Ebool_2E_5C_2F_2E2: du > du > u).
% 8.55/2.54 thf(func_def_28, type, c_2Eextreal_2Eextreal__le_2E0: u).
% 8.55/2.54 thf(func_def_29, type, c_2Eextreal_2Eextreal__le_2E2: du > du > u).
% 8.55/2.54 thf(func_def_30, type, c_2Eextreal_2Eextreal__max_2E0: u).
% 8.55/2.54 thf(func_def_31, type, c_2Eextreal_2Eextreal__max_2E2: du > du > u).
% 8.55/2.54 thf(func_def_32, type, c_2Ebool_2E_7E_2E0: u).
% 8.55/2.54 thf(func_def_33, type, c_2Ebool_2E_7E_2E1: du > u).
% 8.55/2.54 thf(func_def_34, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ($o > $o) > $o > $o).
% 8.55/2.54 thf(func_def_35, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o > $o) > $o > $o > $o).
% 8.55/2.54 thf(func_def_36, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: ($o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal) > $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal).
% 8.55/2.54 thf(func_def_37, type, mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool: (mono_2Etyop_2Eextreal_2Eextreal > $o) > mono_2Etyop_2Eextreal_2Eextreal > $o).
% 8.55/2.54 thf(func_def_38, type, mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal: (mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal).
% 8.55/2.54 thf(func_def_39, type, mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: (mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o).
% 8.55/2.54 thf(func_def_40, type, mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: (mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal).
% 8.55/2.54 thf(func_def_41, type, mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o).
% 8.55/2.54 thf(func_def_42, type, mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o).
% 8.55/2.54 thf(func_def_43, type, mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal: $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal).
% 8.55/2.54 thf(func_def_46, type, mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o).
% 8.55/2.54 thf(func_def_47, type, mono_2Ec_2Eextreal_2Eextreal__le: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o).
% 8.55/2.54 thf(func_def_48, type, mono_2Ec_2Eextreal_2Eextreal__max: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal).
% 8.55/2.54 thf(func_def_49, type, mono_2Ec_2Ebool_2E_7E: $o > $o).
% 8.55/2.54 thf(func_def_50, type, i_mono_2Etyop_2Emin_2Ebool: $o > u).
% 8.55/2.54 thf(func_def_51, type, i_mono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Eextreal_2Eextreal > u).
% 8.55/2.54 thf(func_def_52, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o) > u).
% 8.55/2.54 thf(func_def_53, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ($o > $o > $o) > u).
% 8.55/2.54 thf(func_def_54, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: ($o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal) > u).
% 8.55/2.54 thf(func_def_55, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: (mono_2Etyop_2Eextreal_2Eextreal > $o) > u).
% 8.55/2.54 thf(func_def_56, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: (mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal) > u).
% 8.55/2.54 thf(func_def_57, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: (mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o) > u).
% 8.55/2.54 thf(func_def_58, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: (mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal) > u).
% 8.55/2.54 thf(func_def_59, type, j_mono_2Etyop_2Emin_2Ebool: du > $o).
% 8.55/2.54 thf(func_def_60, type, j_mono_2Etyop_2Eextreal_2Eextreal: du > mono_2Etyop_2Eextreal_2Eextreal).
% 8.55/2.54 thf(func_def_61, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o).
% 8.55/2.54 thf(func_def_62, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o).
% 8.55/2.54 thf(func_def_63, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: du > $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal).
% 8.55/2.54 thf(func_def_64, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Eextreal_2Eextreal > $o).
% 8.55/2.54 thf(func_def_65, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal).
% 8.55/2.54 thf(func_def_66, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o).
% 8.55/2.54 thf(func_def_67, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal).
% 8.55/2.54 thf(func_def_74, type, sP0: $o > $o > $o > $o).
% 8.55/2.54 thf(func_def_75, type, sP1: $o > $o > $o > $o).
% 8.55/2.54 thf(func_def_76, type, sP2: $o > $o > $o > $o).
% 8.55/2.54 thf(func_def_77, type, sP3: $o > $o > $o > $o).
% 8.55/2.54 thf(func_def_78, type, sP4: $o > $o > $o > $o).
% 8.55/2.54 thf(func_def_79, type, sP5: $o > $o > $o > $o).
% 8.55/2.54 thf(func_def_80, type, sP6: $o > $o > $o > $o).
% 8.55/2.54 thf(func_def_81, type, sP7: $o > $o > $o > $o).
% 8.55/2.54 thf(func_def_82, type, sP8: $o > $o > $o > $o).
% 8.55/2.54 thf(func_def_83, type, sP9: $o > $o > $o > $o).
% 8.55/2.54 thf(func_def_84, type, sK10: u > u > d > d > u).
% 8.55/2.54 thf(func_def_85, type, sK11: mono_2Etyop_2Eextreal_2Eextreal).
% 8.55/2.54 thf(func_def_86, type, sK12: mono_2Etyop_2Eextreal_2Eextreal).
% 8.55/2.54 thf(func_def_87, type, sK13: mono_2Etyop_2Eextreal_2Eextreal).
% 8.55/2.54 thf(func_def_89, type, ph15: !>[X0: $tType]:(X0)).
% 8.55/2.54 thf(f4819,plain,(
% 8.55/2.54 $false),
% 8.55/2.54 inference(avatar_sat_refutation,[status(thm)],[f686,f691,f716,f718,f729,f1353,f1371,f3265,f3275,f3276,f3609,f4395,f4466,f4582,f4584,f4589,f4594,f4610,f4624,f4748,f4749,f4795,f4818])).
% 8.55/2.54 thf(f4818,plain,(
% 8.55/2.54 ~spl14_3 | spl14_4 | ~spl14_29),
% 8.55/2.54 inference(avatar_contradiction_clause,[status(thm)],[f4817])).
% 8.55/2.54 thf(f4817,plain,(
% 8.55/2.54 $false | (~spl14_3 | spl14_4 | ~spl14_29)),
% 8.55/2.54 inference(subsumption_resolution,[status(thm)],[f4810,f685])).
% 8.55/2.54 thf(f685,plain,(
% 8.55/2.54 ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11)) | ~spl14_3),
% 8.55/2.54 inference(avatar_component_clause,[status(thm)],[f683])).
% 8.55/2.54 thf(f683,definition,(
% 8.55/2.54 spl14_3 <=> ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11))),
% 8.55/2.54 introduced(definition,[new_symbols(naming,[spl14_3])],[avatar_definition])).
% 8.55/2.54 thf(f4810,plain,(
% 8.55/2.54 ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11)) | (spl14_4 | ~spl14_29)),
% 8.55/2.54 inference(trivial_inequality_removal,[status(thm)],[f4808])).
% 8.55/2.54 thf(f4808,plain,(
% 8.55/2.54 ($true != $true) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11)) | (spl14_4 | ~spl14_29)),
% 8.55/2.54 inference(superposition,[status(thm)],[f4607,f4415])).
% 8.55/2.54 thf(f4415,plain,(
% 8.55/2.54 ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK13)) | ~spl14_29),
% 8.55/2.54 inference(avatar_component_clause,[status(thm)],[f4413])).
% 8.55/2.54 thf(f4413,definition,(
% 8.55/2.54 spl14_29 <=> ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK13))),
% 8.55/2.54 introduced(definition,[new_symbols(naming,[spl14_29])],[avatar_definition])).
% 8.55/2.54 thf(f4607,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal] : (($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ X0)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK11))) ) | spl14_4),
% 8.55/2.54 inference(trivial_inequality_removal,[status(thm)],[f4604])).
% 8.55/2.54 thf(f4604,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal] : (($true != $true) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ X0)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK11))) ) | spl14_4),
% 8.55/2.54 inference(superposition,[status(thm)],[f689,f379])).
% 8.55/2.54 thf(f379,plain,(
% 8.55/2.54 ( ! [X2 : mono_2Etyop_2Eextreal_2Eextreal,X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : (($true = (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1)) | ((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1) != $true) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2))) )),
% 8.55/2.54 inference(cnf_transformation,[status(thm)],[f246])).
% 8.55/2.54 thf(f246,plain,(
% 8.55/2.54 ! [X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal,X2 : mono_2Etyop_2Eextreal_2Eextreal] : (($true = (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1)) | ((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1) != $true) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2)))),
% 8.55/2.54 inference(rectify,[status(thm)],[f186])).
% 8.55/2.54 thf(f186,plain,(
% 8.55/2.54 ! [X2 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal,X0 : mono_2Etyop_2Eextreal_2Eextreal] : (((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1) = $true) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1)) | ((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0) != $true))),
% 8.55/2.54 inference(flattening,[status(thm)],[f185])).
% 8.55/2.54 thf(f185,plain,(
% 8.55/2.54 ! [X2 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal,X0 : mono_2Etyop_2Eextreal_2Eextreal] : (((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1) = $true) | (((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0) != $true) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1))))),
% 8.55/2.54 inference(ennf_transformation,[status(thm)],[f127])).
% 8.55/2.54 thf(f127,plain,(
% 8.55/2.54 ! [X2 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal,X0 : mono_2Etyop_2Eextreal_2Eextreal] : ((((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0) = $true) & ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1))) => ((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1) = $true))),
% 8.55/2.54 inference(fool_elimination,[status(thm)],[f126])).
% 8.55/2.54 thf(f126,plain,(
% 8.55/2.54 ! [X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal,X2 : mono_2Etyop_2Eextreal_2Eextreal] : (((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0) & (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1)) => (mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1))),
% 8.55/2.54 inference(rectify,[status(thm)],[f64])).
% 8.55/2.54 thf(f64,axiom,(
% 8.55/2.54 ! [X27 : mono_2Etyop_2Eextreal_2Eextreal,X28 : mono_2Etyop_2Eextreal_2Eextreal,X26 : mono_2Etyop_2Eextreal_2Eextreal] : (((mono_2Ec_2Eextreal_2Eextreal__le @ X26 @ X27) & (mono_2Ec_2Eextreal_2Eextreal__le @ X27 @ X28)) => (mono_2Ec_2Eextreal_2Eextreal__le @ X26 @ X28))),
% 8.55/2.54 file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Eextreal_2Ele__trans)).
% 8.55/2.54 thf(f689,plain,(
% 8.55/2.54 ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11)) | spl14_4),
% 8.55/2.54 inference(avatar_component_clause,[status(thm)],[f688])).
% 8.55/2.54 thf(f688,definition,(
% 8.55/2.54 spl14_4 <=> ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11))),
% 8.55/2.54 introduced(definition,[new_symbols(naming,[spl14_4])],[avatar_definition])).
% 8.55/2.54 thf(f4795,plain,(
% 8.55/2.54 spl14_30 | ~spl14_28),
% 8.55/2.54 inference(avatar_split_clause,[status(thm)],[f4794,f4408,f4458])).
% 8.55/2.54 thf(f4458,definition,(
% 8.55/2.54 spl14_30 <=> ((mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) = sK13)),
% 8.55/2.54 introduced(definition,[new_symbols(naming,[spl14_30])],[avatar_definition])).
% 8.55/2.54 thf(f4408,definition,(
% 8.55/2.54 spl14_28 <=> ($false = (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12))),
% 8.55/2.54 introduced(definition,[new_symbols(naming,[spl14_28])],[avatar_definition])).
% 8.55/2.54 thf(f4794,plain,(
% 8.55/2.54 ((mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) = sK13) | ~spl14_28),
% 8.55/2.54 inference(forward_demodulation,[status(thm)],[f4782,f3133])).
% 8.55/2.54 thf(f3133,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : (((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X0 @ X1) = X1)) )),
% 8.55/2.54 inference(forward_demodulation,[status(thm)],[f3118,f411])).
% 8.55/2.54 thf(f411,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal] : (((j_mono_2Etyop_2Eextreal_2Eextreal @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X0))) = X0)) )),
% 8.55/2.54 inference(cnf_transformation,[status(thm)],[f166])).
% 8.55/2.54 thf(f166,plain,(
% 8.55/2.54 ! [X0 : mono_2Etyop_2Eextreal_2Eextreal] : ((j_mono_2Etyop_2Eextreal_2Eextreal @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X0))) = X0)),
% 8.55/2.54 inference(rectify,[status(thm)],[f22])).
% 8.55/2.54 thf(f22,axiom,(
% 8.55/2.54 ! [X8 : mono_2Etyop_2Eextreal_2Eextreal] : ((j_mono_2Etyop_2Eextreal_2Eextreal @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X8))) = X8)),
% 8.55/2.54 file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',ji_2Emono_2Etyop_2Eextreal_2Eextreal)).
% 8.55/2.54 thf(f3118,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : (((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X0 @ X1) = (j_mono_2Etyop_2Eextreal_2Eextreal @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X1))))) )),
% 8.55/2.54 inference(superposition,[status(thm)],[f411,f2315])).
% 8.55/2.54 thf(f2315,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : (((s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X1)) = (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X0 @ X1))))) )),
% 8.55/2.54 inference(superposition,[status(thm)],[f319,f634])).
% 8.55/2.54 thf(f634,plain,(
% 8.55/2.54 ( ! [X2 : u,X0 : d,X1 : u] : (((s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X0 @ X1) @ (s @ X0 @ X2))) = (s @ X0 @ X2))) )),
% 8.55/2.54 inference(boolean_simplification,[status(thm)],[f464])).
% 8.55/2.54 thf(f464,plain,(
% 8.55/2.54 ( ! [X2 : u,X0 : d,X1 : u] : (((s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (~ $true))) @ (s @ X0 @ X1) @ (s @ X0 @ X2))) = (s @ X0 @ X2))) )),
% 8.55/2.54 inference(definition_unfolding,[status(thm)],[f317,f458])).
% 8.55/2.54 thf(f458,plain,(
% 8.55/2.54 (mono_2Ec_2Ebool_2EF = (~ $true))),
% 8.55/2.54 inference(definition_unfolding,[status(thm)],[f420,f315])).
% 8.55/2.54 thf(f315,plain,(
% 8.55/2.54 (mono_2Ec_2Ebool_2ET = $true)),
% 8.55/2.54 inference(cnf_transformation,[status(thm)],[f87])).
% 8.55/2.54 thf(f87,plain,(
% 8.55/2.54 (mono_2Ec_2Ebool_2ET = $true)),
% 8.55/2.54 inference(fool_elimination,[status(thm)],[f86])).
% 8.55/2.54 thf(f86,plain,(
% 8.55/2.54 mono_2Ec_2Ebool_2ET),
% 8.55/2.54 inference(rectify,[status(thm)],[f50])).
% 8.55/2.54 thf(f50,axiom,(
% 8.55/2.54 mono_2Ec_2Ebool_2ET),
% 8.55/2.54 file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Ebool_2ETRUTH)).
% 8.55/2.54 thf(f420,plain,(
% 8.55/2.54 (mono_2Ec_2Ebool_2EF = (~ mono_2Ec_2Ebool_2ET))),
% 8.55/2.54 inference(cnf_transformation,[status(thm)],[f143])).
% 8.55/2.54 thf(f143,plain,(
% 8.55/2.54 (mono_2Ec_2Ebool_2ET = (~ mono_2Ec_2Ebool_2EF)) & ! [X0 : $o] : ((~ (~ X0)) = X0) & (mono_2Ec_2Ebool_2EF = (~ mono_2Ec_2Ebool_2ET))),
% 8.55/2.54 inference(fool_elimination,[status(thm)],[f142])).
% 8.55/2.54 thf(f142,plain,(
% 8.55/2.54 ! [X0 : $o] : (X0 <=> (~ (~ X0))) & ((~ mono_2Ec_2Ebool_2EF) <=> mono_2Ec_2Ebool_2ET) & ((~ mono_2Ec_2Ebool_2ET) <=> mono_2Ec_2Ebool_2EF)),
% 8.55/2.54 inference(rectify,[status(thm)],[f57])).
% 8.55/2.54 thf(f57,axiom,(
% 8.55/2.54 ! [X20 : $o] : (X20 <=> (~ (~ X20))) & ((~ mono_2Ec_2Ebool_2EF) <=> mono_2Ec_2Ebool_2ET) & ((~ mono_2Ec_2Ebool_2ET) <=> mono_2Ec_2Ebool_2EF)),
% 8.55/2.54 file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Ebool_2ENOT__CLAUSES)).
% 8.55/2.54 thf(f317,plain,(
% 8.55/2.54 ( ! [X2 : u,X0 : d,X1 : u] : (((s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X0 @ X1) @ (s @ X0 @ X2))) = (s @ X0 @ X2))) )),
% 8.55/2.54 inference(cnf_transformation,[status(thm)],[f221])).
% 8.55/2.54 thf(f221,plain,(
% 8.55/2.54 ! [X0 : d,X1 : u,X2 : u] : (((s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X0 @ X1) @ (s @ X0 @ X2))) = (s @ X0 @ X2)) & ((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)))),
% 8.55/2.54 inference(rectify,[status(thm)],[f160])).
% 8.55/2.54 thf(f160,plain,(
% 8.55/2.54 ! [X2 : d,X1 : u,X0 : u] : (((s @ X2 @ X0) = (s @ X2 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X2 @ X1) @ (s @ X2 @ X0)))) & ((s @ X2 @ X1) = (s @ X2 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET)) @ (s @ X2 @ X1) @ (s @ X2 @ X0)))))),
% 8.55/2.54 inference(rectify,[status(thm)],[f60])).
% 8.55/2.54 thf(f60,axiom,(
% 8.55/2.54 ! [X22 : u,X21 : u,X0 : d] : (((s @ X0 @ X22) = (s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X0 @ X21) @ (s @ X0 @ X22)))) & ((s @ X0 @ X21) = (s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET)) @ (s @ X0 @ X21) @ (s @ X0 @ X22)))))),
% 8.55/2.54 file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Ebool_2ECOND__CLAUSES)).
% 8.55/2.54 thf(f319,plain,(
% 8.55/2.54 ( ! [X2 : $o,X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : (((s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ X2 @ X1 @ X0))) = (s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X2)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X1)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X0)))))) )),
% 8.55/2.54 inference(cnf_transformation,[status(thm)],[f222])).
% 8.55/2.54 thf(f222,plain,(
% 8.55/2.54 ! [X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal,X2 : $o] : ((s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ X2 @ X1 @ X0))) = (s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X2)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X1)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X0)))))),
% 8.55/2.54 inference(rectify,[status(thm)],[f154])).
% 8.55/2.54 thf(f154,plain,(
% 8.55/2.54 ! [X0 : mono_2Etyop_2Eextreal_2Eextreal,X2 : mono_2Etyop_2Eextreal_2Eextreal,X1 : $o] : ((s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X1)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X2)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X0)))) = (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ X1 @ X2 @ X0))))),
% 8.55/2.54 inference(rectify,[status(thm)],[f42])).
% 8.55/2.54 thf(f42,axiom,(
% 8.55/2.54 ! [X17 : mono_2Etyop_2Eextreal_2Eextreal,X8 : $o,X9 : mono_2Etyop_2Eextreal_2Eextreal] : ((s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ X8 @ X9 @ X17))) = (s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X8)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X9)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X17)))))),
% 8.55/2.54 file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal)).
% 8.55/2.54 thf(f4782,plain,(
% 8.55/2.54 ((mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) = (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ sK12 @ sK13)) | ~spl14_28),
% 8.55/2.54 inference(superposition,[status(thm)],[f456,f4410])).
% 8.55/2.54 thf(f4410,plain,(
% 8.55/2.54 ($false = (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12)) | ~spl14_28),
% 8.55/2.54 inference(avatar_component_clause,[status(thm)],[f4408])).
% 8.55/2.54 thf(f456,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : (((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1) @ X1 @ X0) = (mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ X1))) )),
% 8.55/2.54 inference(cnf_transformation,[status(thm)],[f279])).
% 8.55/2.54 thf(f279,plain,(
% 8.55/2.54 ! [X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : ((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1) @ X1 @ X0) = (mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ X1))),
% 8.55/2.54 inference(rectify,[status(thm)],[f153])).
% 8.55/2.54 thf(f153,plain,(
% 8.55/2.54 ! [X1 : mono_2Etyop_2Eextreal_2Eextreal,X0 : mono_2Etyop_2Eextreal_2Eextreal] : ((mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X0) = (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0) @ X0 @ X1))),
% 8.55/2.54 inference(rectify,[status(thm)],[f66])).
% 8.55/2.54 thf(f66,axiom,(
% 8.55/2.54 ! [X27 : mono_2Etyop_2Eextreal_2Eextreal,X26 : mono_2Etyop_2Eextreal_2Eextreal] : ((mono_2Ec_2Eextreal_2Eextreal__max @ X26 @ X27) = (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Eextreal_2Eextreal__le @ X26 @ X27) @ X27 @ X26))),
% 8.55/2.54 file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Eextreal_2Eextreal__max__def)).
% 8.55/2.54 thf(f4749,plain,(
% 8.55/2.54 spl14_29 | spl14_27),
% 8.55/2.54 inference(avatar_split_clause,[status(thm)],[f4746,f4392,f4413])).
% 8.55/2.54 thf(f4392,definition,(
% 8.55/2.54 spl14_27 <=> ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12))),
% 8.55/2.54 introduced(definition,[new_symbols(naming,[spl14_27])],[avatar_definition])).
% 8.55/2.54 thf(f4746,plain,(
% 8.55/2.54 ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK13)) | spl14_27),
% 8.55/2.54 inference(trivial_inequality_removal,[status(thm)],[f4743])).
% 8.55/2.54 thf(f4743,plain,(
% 8.55/2.54 ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK13)) | ($true != $true) | spl14_27),
% 8.55/2.54 inference(superposition,[status(thm)],[f4394,f404])).
% 8.55/2.54 thf(f404,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : (($true = (mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0)) | ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1))) )),
% 8.55/2.54 inference(cnf_transformation,[status(thm)],[f259])).
% 8.55/2.54 thf(f259,plain,(
% 8.55/2.54 ! [X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : (($true = (mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0)) | ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1)))),
% 8.55/2.54 inference(rectify,[status(thm)],[f95])).
% 8.55/2.54 thf(f95,plain,(
% 8.55/2.54 ! [X1 : mono_2Etyop_2Eextreal_2Eextreal,X0 : mono_2Etyop_2Eextreal_2Eextreal] : (($true = (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1)) | ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0)))),
% 8.55/2.54 inference(fool_elimination,[status(thm)],[f94])).
% 8.55/2.54 thf(f94,plain,(
% 8.55/2.54 ! [X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : ((mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0) | (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1))),
% 8.55/2.54 inference(rectify,[status(thm)],[f65])).
% 8.55/2.54 thf(f65,axiom,(
% 8.55/2.54 ! [X27 : mono_2Etyop_2Eextreal_2Eextreal,X26 : mono_2Etyop_2Eextreal_2Eextreal] : ((mono_2Ec_2Eextreal_2Eextreal__le @ X26 @ X27) | (mono_2Ec_2Eextreal_2Eextreal__le @ X27 @ X26))),
% 8.55/2.54 file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Eextreal_2Ele__total)).
% 8.55/2.54 thf(f4394,plain,(
% 8.55/2.54 ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12)) | spl14_27),
% 8.55/2.54 inference(avatar_component_clause,[status(thm)],[f4392])).
% 8.55/2.54 thf(f4748,plain,(
% 8.55/2.54 spl14_28 | ~spl14_9 | spl14_27),
% 8.55/2.54 inference(avatar_split_clause,[status(thm)],[f4747,f4392,f711,f4408])).
% 8.55/2.54 thf(f711,definition,(
% 8.55/2.54 spl14_9 <=> ! [X1 : $o] : (($false = X1) | ($true = X1))),
% 8.55/2.54 introduced(definition,[new_symbols(naming,[spl14_9])],[avatar_definition])).
% 8.55/2.54 thf(f4747,plain,(
% 8.55/2.54 ($false = (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12)) | (~spl14_9 | spl14_27)),
% 8.55/2.54 inference(trivial_inequality_removal,[status(thm)],[f4744])).
% 8.55/2.54 thf(f4744,plain,(
% 8.55/2.54 ($false = (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12)) | ($true != $true) | (~spl14_9 | spl14_27)),
% 8.55/2.54 inference(superposition,[status(thm)],[f4394,f712])).
% 8.55/2.54 thf(f712,plain,(
% 8.55/2.54 ( ! [X1 : $o] : (($true = X1) | ($false = X1)) ) | ~spl14_9),
% 8.55/2.54 inference(avatar_component_clause,[status(thm)],[f711])).
% 8.55/2.54 thf(f4624,plain,(
% 8.55/2.54 spl14_23 | ~spl14_11),
% 8.55/2.54 inference(avatar_split_clause,[status(thm)],[f4623,f803,f3196])).
% 8.55/2.54 thf(f3196,definition,(
% 8.55/2.54 spl14_23 <=> (sK12 = (mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11))),
% 8.55/2.54 introduced(definition,[new_symbols(naming,[spl14_23])],[avatar_definition])).
% 8.55/2.54 thf(f803,definition,(
% 8.55/2.54 spl14_11 <=> ($false = (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11))),
% 8.55/2.54 introduced(definition,[new_symbols(naming,[spl14_11])],[avatar_definition])).
% 8.55/2.54 thf(f4623,plain,(
% 8.55/2.54 (sK12 = (mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11)) | ~spl14_11),
% 8.55/2.54 inference(forward_demodulation,[status(thm)],[f4615,f3133])).
% 8.55/2.54 thf(f4615,plain,(
% 8.55/2.54 ((mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11) = (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ sK11 @ sK12)) | ~spl14_11),
% 8.55/2.54 inference(superposition,[status(thm)],[f456,f805])).
% 8.55/2.54 thf(f805,plain,(
% 8.55/2.54 ($false = (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11)) | ~spl14_11),
% 8.55/2.54 inference(avatar_component_clause,[status(thm)],[f803])).
% 8.55/2.54 thf(f4610,plain,(
% 8.55/2.54 spl14_11 | spl14_4 | ~spl14_9),
% 8.55/2.54 inference(avatar_split_clause,[status(thm)],[f4609,f711,f688,f803])).
% 8.55/2.54 thf(f4609,plain,(
% 8.55/2.54 ($false = (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11)) | (spl14_4 | ~spl14_9)),
% 8.55/2.54 inference(trivial_inequality_removal,[status(thm)],[f4606])).
% 8.55/2.54 thf(f4606,plain,(
% 8.55/2.54 ($true != $true) | ($false = (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11)) | (spl14_4 | ~spl14_9)),
% 8.55/2.54 inference(superposition,[status(thm)],[f689,f712])).
% 8.55/2.54 thf(f4594,plain,(
% 8.55/2.54 ((mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) != sK13) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11)) | ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11))),
% 8.55/2.54 introduced(definition,[],[theory_tautology_sat_conflict])).
% 8.55/2.54 thf(f4589,plain,(
% 8.55/2.54 (sK12 != (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11)) | ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11))),
% 8.55/2.54 introduced(definition,[],[theory_tautology_sat_conflict])).
% 8.55/2.54 thf(f4584,plain,(
% 8.55/2.54 spl14_3 | ~spl14_4 | ~spl14_9 | ~spl14_27),
% 8.55/2.54 inference(avatar_contradiction_clause,[status(thm)],[f4583])).
% 8.55/2.54 thf(f4583,plain,(
% 8.55/2.54 $false | (spl14_3 | ~spl14_4 | ~spl14_9 | ~spl14_27)),
% 8.55/2.54 inference(subsumption_resolution,[status(thm)],[f4570,f690])).
% 8.55/2.54 thf(f690,plain,(
% 8.55/2.54 ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11)) | ~spl14_4),
% 8.55/2.54 inference(avatar_component_clause,[status(thm)],[f688])).
% 8.55/2.54 thf(f4570,plain,(
% 8.55/2.54 ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11)) | (spl14_3 | ~spl14_9 | ~spl14_27)),
% 8.55/2.54 inference(trivial_inequality_removal,[status(thm)],[f4566])).
% 8.55/2.54 thf(f4566,plain,(
% 8.55/2.54 ($true = $false) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11)) | (spl14_3 | ~spl14_9 | ~spl14_27)),
% 8.55/2.54 inference(superposition,[status(thm)],[f4393,f1446])).
% 8.55/2.54 thf(f1446,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal] : (($false = (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ X0)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK11))) ) | (spl14_3 | ~spl14_9)),
% 8.55/2.54 inference(trivial_inequality_removal,[status(thm)],[f1443])).
% 8.55/2.54 thf(f1443,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal] : (($false = (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ X0)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK11)) | ($true != $true)) ) | (spl14_3 | ~spl14_9)),
% 8.55/2.54 inference(superposition,[status(thm)],[f1317,f712])).
% 8.55/2.54 thf(f1317,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal] : (($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ X0)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK11))) ) | spl14_3),
% 8.55/2.54 inference(trivial_inequality_removal,[status(thm)],[f1313])).
% 8.55/2.54 thf(f1313,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal] : (($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK11)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ X0)) | ($true != $true)) ) | spl14_3),
% 8.55/2.54 inference(superposition,[status(thm)],[f684,f379])).
% 8.55/2.54 thf(f684,plain,(
% 8.55/2.54 ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11)) | spl14_3),
% 8.55/2.54 inference(avatar_component_clause,[status(thm)],[f683])).
% 8.55/2.54 thf(f4393,plain,(
% 8.55/2.54 ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12)) | ~spl14_27),
% 8.55/2.54 inference(avatar_component_clause,[status(thm)],[f4392])).
% 8.55/2.54 thf(f4582,plain,(
% 8.55/2.54 spl14_32 | ~spl14_27),
% 8.55/2.54 inference(avatar_split_clause,[status(thm)],[f4577,f4392,f4579])).
% 8.55/2.54 thf(f4579,definition,(
% 8.55/2.54 spl14_32 <=> (sK12 = (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12))),
% 8.55/2.54 introduced(definition,[new_symbols(naming,[spl14_32])],[avatar_definition])).
% 8.55/2.54 thf(f4577,plain,(
% 8.55/2.54 (sK12 = (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12)) | ~spl14_27),
% 8.55/2.54 inference(forward_demodulation,[status(thm)],[f4569,f3160])).
% 8.55/2.54 thf(f3160,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : (((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X0 @ X1) = X0)) )),
% 8.55/2.54 inference(forward_demodulation,[status(thm)],[f3142,f411])).
% 8.55/2.54 thf(f3142,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : (((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X0 @ X1) = (j_mono_2Etyop_2Eextreal_2Eextreal @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X0))))) )),
% 8.55/2.54 inference(superposition,[status(thm)],[f411,f2316])).
% 8.55/2.54 thf(f2316,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : (((s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X0 @ X1))) = (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X0)))) )),
% 8.55/2.54 inference(superposition,[status(thm)],[f319,f465])).
% 8.55/2.54 thf(f465,plain,(
% 8.55/2.54 ( ! [X2 : u,X0 : d,X1 : u] : (((s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X0 @ X1) @ (s @ X0 @ X2))) = (s @ X0 @ X1))) )),
% 8.55/2.54 inference(definition_unfolding,[status(thm)],[f316,f315])).
% 8.55/2.54 thf(f316,plain,(
% 8.55/2.54 ( ! [X2 : u,X0 : d,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))) )),
% 8.55/2.54 inference(cnf_transformation,[status(thm)],[f221])).
% 8.55/2.54 thf(f4569,plain,(
% 8.55/2.54 ((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ sK12 @ sK13) = (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12)) | ~spl14_27),
% 8.55/2.54 inference(superposition,[status(thm)],[f456,f4393])).
% 8.55/2.54 thf(f4466,plain,(
% 8.55/2.54 ((mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) != sK13) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11)) | ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11))),
% 8.55/2.54 introduced(definition,[],[theory_tautology_sat_conflict])).
% 8.55/2.54 thf(f4395,plain,(
% 8.55/2.54 ~spl14_27 | spl14_24 | ~spl14_26),
% 8.55/2.54 inference(avatar_split_clause,[status(thm)],[f4386,f3262,f3215,f4392])).
% 8.55/2.54 thf(f3215,definition,(
% 8.55/2.54 spl14_24 <=> (sK11 = (mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11))),
% 8.55/2.54 introduced(definition,[new_symbols(naming,[spl14_24])],[avatar_definition])).
% 8.55/2.54 thf(f3262,definition,(
% 8.55/2.54 spl14_26 <=> (sK11 = (mono_2Ec_2Eextreal_2Eextreal__max @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11))),
% 8.55/2.54 introduced(definition,[new_symbols(naming,[spl14_26])],[avatar_definition])).
% 8.55/2.54 thf(f4386,plain,(
% 8.55/2.54 ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12)) | (spl14_24 | ~spl14_26)),
% 8.55/2.54 inference(trivial_inequality_removal,[status(thm)],[f4378])).
% 8.55/2.54 thf(f4378,plain,(
% 8.55/2.54 ($true != $true) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK12)) | (spl14_24 | ~spl14_26)),
% 8.55/2.54 inference(superposition,[status(thm)],[f4319,f939])).
% 8.55/2.54 thf(f939,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal] : (($true = (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X0))) )),
% 8.55/2.54 inference(trivial_inequality_removal,[status(thm)],[f936])).
% 8.55/2.54 thf(f936,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal] : (($true != $true) | ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X0))) )),
% 8.55/2.54 inference(equality_factoring,[status(thm)],[f404])).
% 8.55/2.54 thf(f4319,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal] : (($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ X0)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK12))) ) | (spl14_24 | ~spl14_26)),
% 8.55/2.54 inference(subsumption_resolution,[status(thm)],[f4314,f3216])).
% 8.55/2.54 thf(f3216,plain,(
% 8.55/2.54 (sK11 != (mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11)) | spl14_24),
% 8.55/2.54 inference(avatar_component_clause,[status(thm)],[f3215])).
% 8.55/2.54 thf(f4314,plain,(
% 8.55/2.54 ( ! [X0 : mono_2Etyop_2Eextreal_2Eextreal] : (($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK12)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ X0)) | (sK11 = (mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11))) ) | ~spl14_26),
% 8.55/2.54 inference(superposition,[status(thm)],[f3264,f4307])).
% 8.55/2.54 thf(f4307,plain,(
% 8.55/2.54 ( ! [X2 : mono_2Etyop_2Eextreal_2Eextreal,X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : (((mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ X1) = X1) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2)) | ((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1) != $true)) )),
% 8.55/2.54 inference(forward_demodulation,[status(thm)],[f1337,f3160])).
% 8.55/2.54 thf(f1337,plain,(
% 8.55/2.54 ( ! [X2 : mono_2Etyop_2Eextreal_2Eextreal,X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : (($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2)) | ((mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ X1) = (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X1 @ X0)) | ((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1) != $true)) )),
% 8.55/2.54 inference(superposition,[status(thm)],[f456,f379])).
% 8.55/2.54 thf(f3264,plain,(
% 8.55/2.54 (sK11 = (mono_2Ec_2Eextreal_2Eextreal__max @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11)) | ~spl14_26),
% 8.55/2.54 inference(avatar_component_clause,[status(thm)],[f3262])).
% 8.55/2.54 thf(f3609,plain,(
% 8.55/2.54 ~spl14_6),
% 8.55/2.54 inference(avatar_contradiction_clause,[status(thm)],[f3608])).
% 8.55/2.54 thf(f3608,plain,(
% 8.55/2.54 $false | ~spl14_6),
% 8.55/2.54 inference(subsumption_resolution,[status(thm)],[f3607,f698])).
% 8.55/2.54 thf(f698,plain,(
% 8.55/2.54 ( ! [X0 : $o] : (($false = X0)) ) | ~spl14_6),
% 8.55/2.54 inference(avatar_component_clause,[status(thm)],[f697])).
% 8.55/2.54 thf(f697,definition,(
% 8.55/2.54 spl14_6 <=> ! [X0 : $o] : ($false = X0)),
% 8.55/2.54 introduced(definition,[new_symbols(naming,[spl14_6])],[avatar_definition])).
% 8.55/2.54 thf(f3607,plain,(
% 8.55/2.54 ( ! [X2 : $o,X0 : $o,X1 : $o] : (((sP3 @ X0 @ X2 @ X1) != $false)) ) | ~spl14_6),
% 8.55/2.54 inference(forward_demodulation,[status(thm)],[f3479,f698])).
% 8.55/2.54 thf(f3479,plain,(
% 8.55/2.54 ( ! [X2 : $o,X0 : $o,X1 : $o] : (((sP3 @ X0 @ X2 @ X1) != $true)) ) | ~spl14_6),
% 8.55/2.54 inference(trivial_inequality_removal,[status(thm)],[f3291])).
% 8.55/2.54 thf(f3291,plain,(
% 8.55/2.54 ( ! [X2 : $o,X0 : $o,X1 : $o] : (($true = $false) | ((sP3 @ X0 @ X2 @ X1) != $true)) ) | ~spl14_6),
% 8.55/2.54 inference(superposition,[status(thm)],[f287,f698])).
% 8.55/2.54 thf(f287,plain,(
% 8.55/2.54 ( ! [X2 : $o,X0 : $o,X1 : $o] : (($true = (sP1 @ X2 @ X0 @ X1)) | ($true != (sP3 @ X2 @ X1 @ X0))) )),
% 8.55/2.54 inference(cnf_transformation,[status(thm)],[f208])).
% 8.55/2.54 thf(f208,plain,(
% 8.55/2.54 ! [X0 : $o,X1 : $o,X2 : $o] : ((($true = (sP3 @ X2 @ X1 @ X0)) | (($true != X0) & ($true != (~ X1)) & ($true != (~ X2))) | ($true != (sP2 @ X2 @ X0 @ X1)) | ($true != (sP1 @ X2 @ X0 @ X1)) | ($true != (sP0 @ X2 @ X1 @ X0))) & (((($true = X0) | ($true = (~ X1)) | ($true = (~ X2))) & ($true = (sP2 @ X2 @ X0 @ X1)) & ($true = (sP1 @ X2 @ X0 @ X1)) & ($true = (sP0 @ X2 @ X1 @ X0))) | ($true != (sP3 @ X2 @ X1 @ X0))))),
% 8.55/2.54 inference(rectify,[status(thm)],[f207])).
% 8.55/2.54 thf(f207,plain,(
% 8.55/2.54 ! [X2 : $o,X1 : $o,X0 : $o] : ((($true = (sP3 @ X0 @ X1 @ X2)) | (($true != X2) & ($true != (~ X1)) & ($true != (~ X0))) | ($true != (sP2 @ X0 @ X2 @ X1)) | ((sP1 @ X0 @ X2 @ X1) != $true) | ($true != (sP0 @ X0 @ X1 @ X2))) & (((($true = X2) | ($true = (~ X1)) | ($true = (~ X0))) & ($true = (sP2 @ X0 @ X2 @ X1)) & ((sP1 @ X0 @ X2 @ X1) = $true) & ($true = (sP0 @ X0 @ X1 @ X2))) | ($true != (sP3 @ X0 @ X1 @ X2))))),
% 8.55/2.54 inference(flattening,[status(thm)],[f206])).
% 8.55/2.54 thf(f206,plain,(
% 8.55/2.54 ! [X2 : $o,X1 : $o,X0 : $o] : ((($true = (sP3 @ X0 @ X1 @ X2)) | ((($true != X2) & ($true != (~ X1)) & ($true != (~ X0))) | ($true != (sP2 @ X0 @ X2 @ X1)) | ((sP1 @ X0 @ X2 @ X1) != $true) | ($true != (sP0 @ X0 @ X1 @ X2)))) & (((($true = X2) | ($true = (~ X1)) | ($true = (~ X0))) & ($true = (sP2 @ X0 @ X2 @ X1)) & ((sP1 @ X0 @ X2 @ X1) = $true) & ($true = (sP0 @ X0 @ X1 @ X2))) | ($true != (sP3 @ X0 @ X1 @ X2))))),
% 8.55/2.54 inference(nnf_transformation,[status(thm)],[f195])).
% 8.55/2.54 thf(f195,plain,(
% 8.55/2.54 ! [X2 : $o,X1 : $o,X0 : $o] : (($true = (sP3 @ X0 @ X1 @ X2)) <=> ((($true = X2) | ($true = (~ X1)) | ($true = (~ X0))) & ($true = (sP2 @ X0 @ X2 @ X1)) & ((sP1 @ X0 @ X2 @ X1) = $true) & ($true = (sP0 @ X0 @ X1 @ X2))))),
% 8.55/2.54 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 8.55/2.54 thf(f3276,plain,(
% 8.55/2.54 (sK11 != (mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11)) | (sK12 != (mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK11 @ sK12)) | ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11))),
% 8.55/2.54 introduced(definition,[],[theory_tautology_sat_conflict])).
% 8.55/2.54 thf(f3275,plain,(
% 8.55/2.54 (sK11 != (mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11)) | (sK12 != (mono_2Ec_2Eextreal_2Eextreal__max @ sK12 @ sK11)) | ($false != (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK11 @ sK12)) | ($true = $false)),
% 8.55/2.54 introduced(definition,[],[theory_tautology_sat_conflict])).
% 8.55/2.54 thf(f3265,plain,(
% 8.55/2.54 spl14_26 | ~spl14_16),
% 8.55/2.54 inference(avatar_split_clause,[status(thm)],[f3260,f1350,f3262])).
% 8.55/2.54 thf(f1350,definition,(
% 8.55/2.54 spl14_16 <=> ((mono_2Ec_2Eextreal_2Eextreal__max @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11) = (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ sK11 @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12)))),
% 8.55/2.54 introduced(definition,[new_symbols(naming,[spl14_16])],[avatar_definition])).
% 8.55/2.54 thf(f3260,plain,(
% 8.55/2.54 (sK11 = (mono_2Ec_2Eextreal_2Eextreal__max @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11)) | ~spl14_16),
% 8.55/2.54 inference(forward_demodulation,[status(thm)],[f1352,f3160])).
% 8.55/2.54 thf(f1352,plain,(
% 8.55/2.54 ((mono_2Ec_2Eextreal_2Eextreal__max @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11) = (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ sK11 @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12))) | ~spl14_16),
% 8.55/2.54 inference(avatar_component_clause,[status(thm)],[f1350])).
% 8.55/2.54 thf(f1371,plain,(
% 8.55/2.54 spl14_14 | spl14_4),
% 8.55/2.54 inference(avatar_split_clause,[status(thm)],[f1368,f688,f953])).
% 8.55/2.54 thf(f953,definition,(
% 8.55/2.54 spl14_14 <=> ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK11 @ sK12))),
% 8.55/2.54 introduced(definition,[new_symbols(naming,[spl14_14])],[avatar_definition])).
% 8.55/2.54 thf(f1368,plain,(
% 8.55/2.54 ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK11 @ sK12)) | spl14_4),
% 8.55/2.54 inference(trivial_inequality_removal,[status(thm)],[f1365])).
% 8.55/2.55 thf(f1365,plain,(
% 8.55/2.55 ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK11 @ sK12)) | ($true != $true) | spl14_4),
% 8.55/2.55 inference(superposition,[status(thm)],[f689,f404])).
% 8.55/2.55 thf(f1353,plain,(
% 8.55/2.55 spl14_16 | ~spl14_2),
% 8.55/2.55 inference(avatar_split_clause,[status(thm)],[f1339,f679,f1350])).
% 8.55/2.55 thf(f679,definition,(
% 8.55/2.55 spl14_2 <=> ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11))),
% 8.55/2.55 introduced(definition,[new_symbols(naming,[spl14_2])],[avatar_definition])).
% 8.55/2.55 thf(f1339,plain,(
% 8.55/2.55 ((mono_2Ec_2Eextreal_2Eextreal__max @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11) = (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ sK11 @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12))) | ~spl14_2),
% 8.55/2.55 inference(superposition,[status(thm)],[f456,f681])).
% 8.55/2.55 thf(f681,plain,(
% 8.55/2.55 ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11)) | ~spl14_2),
% 8.55/2.55 inference(avatar_component_clause,[status(thm)],[f679])).
% 8.55/2.55 thf(f729,plain,(
% 8.55/2.55 spl14_9),
% 8.55/2.55 inference(avatar_split_clause,[status(thm)],[f672,f711])).
% 8.55/2.55 thf(f672,plain,(
% 8.55/2.55 ( ! [X0 : $o] : (($false = X0) | ($true = X0)) )),
% 8.55/2.55 inference(not_proxy_clausification,[status(thm)],[f542])).
% 8.55/2.55 thf(f542,plain,(
% 8.55/2.55 ( ! [X0 : $o] : (($true = X0) | ($true = (~ X0))) )),
% 8.55/2.55 inference(equality_resolution,[status(thm)],[f376])).
% 8.55/2.55 thf(f376,plain,(
% 8.55/2.55 ( ! [X0 : $o,X1 : $o] : (($true = X1) | ($true = X0) | ((~ X0) != X1)) )),
% 8.55/2.55 inference(cnf_transformation,[status(thm)],[f243])).
% 8.55/2.55 thf(f243,plain,(
% 8.55/2.55 ! [X0 : $o,X1 : $o] : ((((($true = X1) | ($true = X0)) & (($true = (~ X0)) | ($true = (~ X1)))) | ((~ X0) != X1)) & (((~ X0) = X1) | (($true != X1) & ($true != X0)) | (($true != (~ X0)) & ($true != (~ X1)))))),
% 8.55/2.55 inference(rectify,[status(thm)],[f242])).
% 8.55/2.55 thf(f242,plain,(
% 8.55/2.55 ! [X1 : $o,X0 : $o] : ((((($true = X0) | ($true = X1)) & (($true = (~ X1)) | ($true = (~ X0)))) | ((~ X1) != X0)) & (((~ X1) = X0) | (($true != X0) & ($true != X1)) | (($true != (~ X1)) & ($true != (~ X0)))))),
% 8.55/2.55 inference(flattening,[status(thm)],[f241])).
% 8.55/2.55 thf(f241,plain,(
% 8.55/2.55 ! [X1 : $o,X0 : $o] : ((((($true = X0) | ($true = X1)) & (($true = (~ X1)) | ($true = (~ X0)))) | ((~ X1) != X0)) & (((~ X1) = X0) | ((($true != X0) & ($true != X1)) | (($true != (~ X1)) & ($true != (~ X0))))))),
% 8.55/2.55 inference(nnf_transformation,[status(thm)],[f109])).
% 8.55/2.55 thf(f109,plain,(
% 8.55/2.55 ! [X1 : $o,X0 : $o] : (((($true = X0) | ($true = X1)) & (($true = (~ X1)) | ($true = (~ X0)))) <=> ((~ X1) = X0))),
% 8.55/2.55 inference(fool_elimination,[status(thm)],[f108])).
% 8.55/2.55 thf(f108,plain,(
% 8.55/2.55 ! [X0 : $o,X1 : $o] : ((X0 <=> (~ X1)) <=> (((~ X0) | (~ X1)) & (X0 | X1)))),
% 8.55/2.55 inference(rectify,[status(thm)],[f76])).
% 8.55/2.55 thf(f76,axiom,(
% 8.55/2.55 ! [X35 : $o,X34 : $o] : ((X35 <=> (~ X34)) <=> (((~ X35) | (~ X34)) & (X35 | X34)))),
% 8.55/2.55 file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Esat_2Edc__neg)).
% 8.55/2.55 thf(f718,plain,(
% 8.55/2.55 spl14_6 | ~spl14_5),
% 8.55/2.55 inference(avatar_split_clause,[status(thm)],[f620,f693,f697])).
% 8.55/2.55 thf(f693,definition,(
% 8.55/2.55 spl14_5 <=> ($true = $false)),
% 8.55/2.55 introduced(definition,[new_symbols(naming,[spl14_5])],[avatar_definition])).
% 8.55/2.55 thf(f620,plain,(
% 8.55/2.55 ( ! [X0 : $o] : (($true != $false) | ($false = X0)) )),
% 8.55/2.55 inference(not_proxy_clausification,[status(thm)],[f619])).
% 8.55/2.55 thf(f619,plain,(
% 8.55/2.55 ( ! [X0 : $o] : (($true != $false) | ($true = (~ X0))) )),
% 8.55/2.55 inference(boolean_simplification,[status(thm)],[f466])).
% 8.55/2.55 thf(f466,plain,(
% 8.55/2.55 ( ! [X0 : $o] : (($true != (~ $true)) | ($true = (~ X0))) )),
% 8.55/2.55 inference(definition_unfolding,[status(thm)],[f334,f458])).
% 8.55/2.55 thf(f334,plain,(
% 8.55/2.55 ( ! [X0 : $o] : (($true = (~ X0)) | (mono_2Ec_2Ebool_2EF != $true)) )),
% 8.55/2.55 inference(cnf_transformation,[status(thm)],[f224])).
% 8.55/2.55 thf(f224,plain,(
% 8.55/2.55 ! [X0 : $o] : ((($true = (~ X0)) | ((mono_2Ec_2Ebool_2EF != $true) & ($true = X0))) & ((mono_2Ec_2Ebool_2EF = $true) | ($true != X0) | ($true != (~ X0))) & (($true = X0) | ((mono_2Ec_2Ebool_2ET = $true) & ($true != X0))) & ((mono_2Ec_2Ebool_2ET != $true) | ($true = X0) | ($true != X0)) & ((mono_2Ec_2Ebool_2EF != $true) | ($true = X0) | (mono_2Ec_2Ebool_2ET != $true)) & ((mono_2Ec_2Ebool_2ET = $true) | ((mono_2Ec_2Ebool_2EF = $true) & ($true != X0))) & ((mono_2Ec_2Ebool_2ET = $true) | (($true = X0) & (mono_2Ec_2Ebool_2ET != $true))) & (($true != X0) | (mono_2Ec_2Ebool_2ET = $true) | (mono_2Ec_2Ebool_2ET != $true)) & ((mono_2Ec_2Ebool_2ET = $true) | (($true != X0) & ($true = X0))) & (($true = X0) | ($true != X0) | (mono_2Ec_2Ebool_2ET != $true)))),
% 8.55/2.55 inference(flattening,[status(thm)],[f223])).
% 8.55/2.55 thf(f223,plain,(
% 8.55/2.55 ! [X0 : $o] : (((($true = (~ X0)) | ((mono_2Ec_2Ebool_2EF != $true) & ($true = X0))) & (((mono_2Ec_2Ebool_2EF = $true) | ($true != X0)) | ($true != (~ X0)))) & ((($true = X0) | ((mono_2Ec_2Ebool_2ET = $true) & ($true != X0))) & (((mono_2Ec_2Ebool_2ET != $true) | ($true = X0)) | ($true != X0))) & ((((mono_2Ec_2Ebool_2EF != $true) | ($true = X0)) | (mono_2Ec_2Ebool_2ET != $true)) & ((mono_2Ec_2Ebool_2ET = $true) | ((mono_2Ec_2Ebool_2EF = $true) & ($true != X0)))) & (((mono_2Ec_2Ebool_2ET = $true) | (($true = X0) & (mono_2Ec_2Ebool_2ET != $true))) & ((($true != X0) | (mono_2Ec_2Ebool_2ET = $true)) | (mono_2Ec_2Ebool_2ET != $true))) & (((mono_2Ec_2Ebool_2ET = $true) | (($true != X0) & ($true = X0))) & ((($true = X0) | ($true != X0)) | (mono_2Ec_2Ebool_2ET != $true))))),
% 8.55/2.55 inference(nnf_transformation,[status(thm)],[f187])).
% 8.55/2.55 thf(f187,plain,(
% 8.55/2.55 ! [X0 : $o] : ((($true = (~ X0)) <=> ((mono_2Ec_2Ebool_2EF = $true) | ($true != X0))) & (($true = X0) <=> ((mono_2Ec_2Ebool_2ET != $true) | ($true = X0))) & (((mono_2Ec_2Ebool_2EF != $true) | ($true = X0)) <=> (mono_2Ec_2Ebool_2ET = $true)) & ((mono_2Ec_2Ebool_2ET = $true) <=> (($true != X0) | (mono_2Ec_2Ebool_2ET = $true))) & ((mono_2Ec_2Ebool_2ET = $true) <=> (($true = X0) | ($true != X0))))),
% 8.55/2.55 inference(ennf_transformation,[status(thm)],[f121])).
% 8.55/2.55 thf(f121,plain,(
% 8.55/2.55 ! [X0 : $o] : (((mono_2Ec_2Ebool_2ET = $true) <=> ((mono_2Ec_2Ebool_2EF = $true) => ($true = X0))) & ((mono_2Ec_2Ebool_2ET = $true) <=> (($true = X0) => (mono_2Ec_2Ebool_2ET = $true))) & (($true = X0) <=> ((mono_2Ec_2Ebool_2ET = $true) => ($true = X0))) & (($true = (~ X0)) <=> (($true = X0) => (mono_2Ec_2Ebool_2EF = $true))) & ((mono_2Ec_2Ebool_2ET = $true) <=> (($true = X0) => ($true = X0))))),
% 8.55/2.55 inference(fool_elimination,[status(thm)],[f120])).
% 8.55/2.55 thf(f120,plain,(
% 8.55/2.55 ! [X0 : $o] : (((mono_2Ec_2Ebool_2ET => X0) <=> X0) & ((X0 => mono_2Ec_2Ebool_2EF) <=> (~ X0)) & (mono_2Ec_2Ebool_2ET <=> (mono_2Ec_2Ebool_2EF => X0)) & (mono_2Ec_2Ebool_2ET <=> (X0 => mono_2Ec_2Ebool_2ET)) & (mono_2Ec_2Ebool_2ET <=> (X0 => X0)))),
% 8.55/2.55 inference(rectify,[status(thm)],[f56])).
% 8.55/2.55 thf(f56,axiom,(
% 8.55/2.55 ! [X20 : $o] : (((mono_2Ec_2Ebool_2ET => X20) <=> X20) & ((X20 => mono_2Ec_2Ebool_2EF) <=> (~ X20)) & (mono_2Ec_2Ebool_2ET <=> (mono_2Ec_2Ebool_2EF => X20)) & (mono_2Ec_2Ebool_2ET <=> (X20 => mono_2Ec_2Ebool_2ET)) & (mono_2Ec_2Ebool_2ET <=> (X20 => X20)))),
% 8.55/2.55 file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Ebool_2EIMP__CLAUSES)).
% 8.55/2.55 thf(f716,plain,(
% 8.55/2.55 ~spl14_2 | ~spl14_3 | ~spl14_4),
% 8.55/2.55 inference(avatar_split_clause,[status(thm)],[f407,f688,f683,f679])).
% 8.55/2.55 thf(f407,plain,(
% 8.55/2.55 ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11))),
% 8.55/2.55 inference(cnf_transformation,[status(thm)],[f264])).
% 8.55/2.55 thf(f264,plain,(
% 8.55/2.55 (($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11))) & ((($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11)) & ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11))) | ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11)))),
% 8.55/2.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f262,f263])).
% 8.55/2.55 thf(f263,plain,(
% 8.55/2.55 ? [X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal,X2 : mono_2Etyop_2Eextreal_2Eextreal] : ((($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0)) | ((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0) != $true) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ X2 @ X1) @ X0))) & ((($true = (mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0)) & ((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0) = $true)) | ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ X2 @ X1) @ X0)))) => ((($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11))) & ((($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11)) & ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11))) | ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11))))),
% 8.55/2.55 introduced(definition,[],[choice_axiom])).
% 8.55/2.55 thf(f262,plain,(
% 8.55/2.55 ? [X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal,X2 : mono_2Etyop_2Eextreal_2Eextreal] : ((($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0)) | ((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0) != $true) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ X2 @ X1) @ X0))) & ((($true = (mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0)) & ((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0) = $true)) | ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ X2 @ X1) @ X0))))),
% 8.55/2.55 inference(rectify,[status(thm)],[f261])).
% 8.55/2.55 thf(f261,plain,(
% 8.55/2.55 ? [X0 : mono_2Etyop_2Eextreal_2Eextreal,X2 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : ((((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0) != $true) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0)) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2) @ X0))) & ((((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0) = $true) & ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0))) | ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2) @ X0))))),
% 8.55/2.55 inference(flattening,[status(thm)],[f260])).
% 8.55/2.55 thf(f260,plain,(
% 8.55/2.55 ? [X0 : mono_2Etyop_2Eextreal_2Eextreal,X2 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : (((((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0) != $true) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0))) | ($true != (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2) @ X0))) & ((((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0) = $true) & ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0))) | ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2) @ X0))))),
% 8.55/2.55 inference(nnf_transformation,[status(thm)],[f190])).
% 8.55/2.55 thf(f190,plain,(
% 8.55/2.55 ? [X0 : mono_2Etyop_2Eextreal_2Eextreal,X2 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : (($true = (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2) @ X0)) <~> (((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0) = $true) & ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0))))),
% 8.55/2.55 inference(ennf_transformation,[status(thm)],[f129])).
% 8.55/2.55 thf(f129,plain,(
% 8.55/2.55 ~! [X2 : mono_2Etyop_2Eextreal_2Eextreal,X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal] : ((((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0) = $true) & ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0))) <=> ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2) @ X0)))),
% 8.55/2.55 inference(fool_elimination,[status(thm)],[f128])).
% 8.55/2.55 thf(f128,plain,(
% 8.55/2.55 ~! [X0 : mono_2Etyop_2Eextreal_2Eextreal,X1 : mono_2Etyop_2Eextreal_2Eextreal,X2 : mono_2Etyop_2Eextreal_2Eextreal] : ((mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2) @ X0) <=> ((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0) & (mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0)))),
% 8.55/2.55 inference(rectify,[status(thm)],[f78])).
% 8.55/2.55 thf(f78,negated_conjecture,(
% 8.55/2.55 ~! [X36 : mono_2Etyop_2Eextreal_2Eextreal,X37 : mono_2Etyop_2Eextreal_2Eextreal,X38 : mono_2Etyop_2Eextreal_2Eextreal] : ((mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ X37 @ X38) @ X36) <=> ((mono_2Ec_2Eextreal_2Eextreal__le @ X38 @ X36) & (mono_2Ec_2Eextreal_2Eextreal__le @ X37 @ X36)))),
% 8.55/2.55 inference(negated_conjecture,[status(cth)],[f77])).
% 8.55/2.55 thf(f77,conjecture,(
% 8.55/2.55 ! [X36 : mono_2Etyop_2Eextreal_2Eextreal,X37 : mono_2Etyop_2Eextreal_2Eextreal,X38 : mono_2Etyop_2Eextreal_2Eextreal] : ((mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ X37 @ X38) @ X36) <=> ((mono_2Ec_2Eextreal_2Eextreal__le @ X38 @ X36) & (mono_2Ec_2Eextreal_2Eextreal__le @ X37 @ X36)))),
% 8.55/2.55 file('/export/starexec/sandbox2/tmp/tmp.ViC1BwWsRK/DTF2THF_22886.p',thm_2Eextreal_2Emax__le)).
% 8.55/2.55 thf(f691,plain,(
% 8.55/2.55 spl14_4 | spl14_2),
% 8.55/2.55 inference(avatar_split_clause,[status(thm)],[f406,f679,f688])).
% 8.55/2.55 thf(f406,plain,(
% 8.55/2.55 ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11)) | ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK12 @ sK11))),
% 8.55/2.55 inference(cnf_transformation,[status(thm)],[f264])).
% 8.55/2.55 thf(f686,plain,(
% 8.55/2.55 spl14_2 | spl14_3),
% 8.55/2.55 inference(avatar_split_clause,[status(thm)],[f405,f683,f679])).
% 8.55/2.55 thf(f405,plain,(
% 8.55/2.55 ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK11)) | ($true = (mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ sK13 @ sK12) @ sK11))),
% 8.55/2.55 inference(cnf_transformation,[status(thm)],[f264])).
% 8.55/2.55 % SZS output end Proof for DTF2THF_22886
% 8.55/2.55 % (23473)------------------------------
% 8.55/2.55 % (23473)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.55/2.55 % (23473)Termination reason: Refutation
% 8.55/2.55
% 8.55/2.55 % (23473)Memory used [KB]: 8059
% 8.55/2.55 % (23473)Time elapsed: 0.230 s
% 8.55/2.55 % (23473)Instructions burned: 724 (million)
% 8.55/2.55 % (23473)------------------------------
% 8.55/2.55 % (23473)------------------------------
% 8.55/2.55 % (23194)Success in time 1.06 s
%------------------------------------------------------------------------------