TSTP Solution File: ITP011^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP011^1 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:30:38 EDT 2024
% Result : Theorem 36.10s 4.95s
% Output : Refutation 36.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 79
% Syntax : Number of formulae : 198 ( 15 unt; 66 typ; 0 def)
% Number of atoms : 1086 ( 496 equ; 0 cnn)
% Maximal formula atoms : 33 ( 8 avg)
% Number of connectives : 7135 ( 253 ~; 245 |; 191 &;6394 @)
% ( 38 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 6 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 72 ( 72 >; 0 *; 0 +; 0 <<)
% Number of symbols : 70 ( 67 usr; 35 con; 0-5 aty)
% Number of variables : 348 ( 0 ^ 326 !; 22 ?; 348 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
d: $tType ).
thf(type_def_7,type,
u: $tType ).
thf(type_def_8,type,
du: $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,
tyop_2Emin_2Ebool: d ).
thf(func_def_4,type,
tyop_2Emin_2Efun: d > d > d ).
thf(func_def_5,type,
tyop_2Eoption_2Eoption: d > d ).
thf(func_def_6,type,
s: d > u > du ).
thf(func_def_7,type,
app_2E2: du > du > u ).
thf(func_def_8,type,
combin_i_2E0: u ).
thf(func_def_9,type,
combin_k_2E0: u ).
thf(func_def_10,type,
combin_s_2E0: u ).
thf(func_def_11,type,
c_2Ebool_2E_21_2E0: u ).
thf(func_def_12,type,
c_2Ebool_2E_21_2E1: du > u ).
thf(func_def_13,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(func_def_14,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(func_def_15,type,
c_2Emin_2E_3D_2E0: u ).
thf(func_def_16,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(func_def_17,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(func_def_18,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(func_def_19,type,
c_2Ebool_2E_3F_2E0: u ).
thf(func_def_20,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(func_def_21,type,
c_2Ebool_2EF_2E0: u ).
thf(func_def_22,type,
c_2Eoption_2EIS__NONE_2E0: u ).
thf(func_def_23,type,
c_2Eoption_2EIS__NONE_2E1: du > u ).
thf(func_def_24,type,
c_2Eoption_2EIS__SOME_2E0: u ).
thf(func_def_25,type,
c_2Eoption_2EIS__SOME_2E1: du > u ).
thf(func_def_26,type,
c_2Eoption_2ENONE_2E0: u ).
thf(func_def_27,type,
c_2Eoption_2EOPTION__JOIN_2E0: u ).
thf(func_def_28,type,
c_2Eoption_2EOPTION__JOIN_2E1: du > u ).
thf(func_def_29,type,
c_2Eoption_2EOPTION__MAP_2E0: u ).
thf(func_def_30,type,
c_2Eoption_2EOPTION__MAP_2E2: du > du > u ).
thf(func_def_31,type,
c_2Eoption_2EOPTREL_2E0: u ).
thf(func_def_32,type,
c_2Eoption_2EOPTREL_2E3: du > du > du > u ).
thf(func_def_33,type,
c_2Eoption_2ESOME_2E0: u ).
thf(func_def_34,type,
c_2Eoption_2ESOME_2E1: du > u ).
thf(func_def_35,type,
c_2Ebool_2ET_2E0: u ).
thf(func_def_36,type,
c_2Eoption_2ETHE_2E0: u ).
thf(func_def_37,type,
c_2Eoption_2ETHE_2E1: du > u ).
thf(func_def_38,type,
c_2Ebool_2E_5C_2F_2E0: u ).
thf(func_def_39,type,
c_2Ebool_2E_5C_2F_2E2: du > du > u ).
thf(func_def_40,type,
c_2Eoption_2Eoption__CASE_2E0: u ).
thf(func_def_41,type,
c_2Eoption_2Eoption__CASE_2E3: du > du > du > u ).
thf(func_def_42,type,
c_2Ebool_2E_7E_2E0: u ).
thf(func_def_43,type,
c_2Ebool_2E_7E_2E1: du > u ).
thf(func_def_44,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
thf(func_def_45,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_46,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_47,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_50,type,
mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_51,type,
mono_2Ec_2Ebool_2E_7E: $o > $o ).
thf(func_def_52,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(func_def_53,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
thf(func_def_54,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_55,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(func_def_56,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
thf(func_def_57,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,
sK0: u ).
thf(func_def_64,type,
sK1: u ).
thf(func_def_65,type,
sK2: u ).
thf(func_def_66,type,
sK3: d ).
thf(func_def_67,type,
sK4: d > d > u > u > u ).
thf(func_def_68,type,
sK5: d > d > u > u > u > u ).
thf(func_def_69,type,
sK6: d > d > u > u > u > u ).
thf(f1022,plain,
$false,
inference(avatar_sat_refutation,[],[f382,f528,f645,f767,f782,f839,f1021]) ).
thf(f1021,plain,
( spl7_6
| ~ spl7_7 ),
inference(avatar_contradiction_clause,[],[f1020]) ).
thf(f1020,plain,
( $false
| spl7_6
| ~ spl7_7 ),
inference(trivial_inequality_removal,[],[f1019]) ).
thf(f1019,plain,
( ( $true = $false )
| spl7_6
| ~ spl7_7 ),
inference(forward_demodulation,[],[f1018,f842]) ).
thf(f842,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ sK3 @ sK2 ) ) ) )
= $false )
| spl7_6 ),
inference(trivial_inequality_removal,[],[f841]) ).
thf(f841,plain,
( ( $true != $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ sK3 @ sK2 ) ) ) )
= $false )
| spl7_6 ),
inference(superposition,[],[f376,f306]) ).
thf(f306,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
inference(not_proxy_clausification,[],[f305]) ).
thf(f305,plain,
! [X0: $o] :
( ( $true != ~ X0 )
| ( $false = X0 ) ),
inference(boolean_simplification,[],[f255]) ).
thf(f255,plain,
! [X0: $o] :
( ( ~ $true = X0 )
| ( $true != ~ X0 ) ),
inference(definition_unfolding,[],[f207,f226]) ).
thf(f226,plain,
( mono_2Ec_2Ebool_2EF = ~ $true ),
inference(definition_unfolding,[],[f222,f159]) ).
thf(f159,plain,
mono_2Ec_2Ebool_2ET = $true,
inference(cnf_transformation,[],[f64]) ).
thf(f64,plain,
mono_2Ec_2Ebool_2ET = $true,
inference(fool_elimination,[],[f63]) ).
thf(f63,plain,
mono_2Ec_2Ebool_2ET,
inference(rectify,[],[f37]) ).
thf(f37,axiom,
mono_2Ec_2Ebool_2ET,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
thf(f222,plain,
( mono_2Ec_2Ebool_2EF = ~ mono_2Ec_2Ebool_2ET ),
inference(cnf_transformation,[],[f72]) ).
thf(f72,plain,
( ! [X0: $o] :
( ( ~ ~ X0 )
= X0 )
& ( mono_2Ec_2Ebool_2ET = ~ mono_2Ec_2Ebool_2EF )
& ( mono_2Ec_2Ebool_2EF = ~ mono_2Ec_2Ebool_2ET ) ),
inference(fool_elimination,[],[f71]) ).
thf(f71,plain,
( ( ~ mono_2Ec_2Ebool_2EF
<=> mono_2Ec_2Ebool_2ET )
& ( ~ mono_2Ec_2Ebool_2ET
<=> mono_2Ec_2Ebool_2EF )
& ! [X0: $o] :
( ~ ~ X0
<=> X0 ) ),
inference(rectify,[],[f43]) ).
thf(f43,axiom,
( ( ~ mono_2Ec_2Ebool_2EF
<=> mono_2Ec_2Ebool_2ET )
& ( ~ mono_2Ec_2Ebool_2ET
<=> mono_2Ec_2Ebool_2EF )
& ! [X18: $o] :
( ~ ~ X18
<=> X18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ENOT__CLAUSES) ).
thf(f207,plain,
! [X0: $o] :
( ( mono_2Ec_2Ebool_2EF = X0 )
| ( $true != ~ X0 ) ),
inference(cnf_transformation,[],[f123]) ).
thf(f123,plain,
! [X0: $o] :
( ( ( mono_2Ec_2Ebool_2EF = X0 )
| ( $true != ~ X0 ) )
& ( ( $true = ~ X0 )
| ( mono_2Ec_2Ebool_2EF != X0 ) )
& ( ( mono_2Ec_2Ebool_2EF = X0 )
| ( $true != ~ X0 ) )
& ( ( $true = ~ X0 )
| ( mono_2Ec_2Ebool_2EF != X0 ) )
& ( ( mono_2Ec_2Ebool_2ET = X0 )
| ( $true != X0 ) )
& ( ( $true = X0 )
| ( mono_2Ec_2Ebool_2ET != X0 ) )
& ( ( mono_2Ec_2Ebool_2ET = X0 )
| ( $true != X0 ) )
& ( ( $true = X0 )
| ( mono_2Ec_2Ebool_2ET != X0 ) ) ),
inference(flattening,[],[f122]) ).
thf(f122,plain,
! [X0: $o] :
( ( ( mono_2Ec_2Ebool_2EF = X0 )
| ( $true != ~ X0 ) )
& ( ( $true = ~ X0 )
| ( mono_2Ec_2Ebool_2EF != X0 ) )
& ( ( mono_2Ec_2Ebool_2EF = X0 )
| ( $true != ~ X0 ) )
& ( ( $true = ~ X0 )
| ( mono_2Ec_2Ebool_2EF != X0 ) )
& ( ( mono_2Ec_2Ebool_2ET = X0 )
| ( $true != X0 ) )
& ( ( $true = X0 )
| ( mono_2Ec_2Ebool_2ET != X0 ) )
& ( ( mono_2Ec_2Ebool_2ET = X0 )
| ( $true != X0 ) )
& ( ( $true = X0 )
| ( mono_2Ec_2Ebool_2ET != X0 ) ) ),
inference(nnf_transformation,[],[f78]) ).
thf(f78,plain,
! [X0: $o] :
( ( ( mono_2Ec_2Ebool_2EF = X0 )
<=> ( $true = ~ X0 ) )
& ( ( mono_2Ec_2Ebool_2EF = X0 )
<=> ( $true = ~ X0 ) )
& ( ( mono_2Ec_2Ebool_2ET = X0 )
<=> ( $true = X0 ) )
& ( ( mono_2Ec_2Ebool_2ET = X0 )
<=> ( $true = X0 ) ) ),
inference(fool_elimination,[],[f77]) ).
thf(f77,plain,
! [X0: $o] :
( ( ~ X0
<=> ( mono_2Ec_2Ebool_2EF = X0 ) )
& ( ~ X0
<=> ( mono_2Ec_2Ebool_2EF = X0 ) )
& ( ( mono_2Ec_2Ebool_2ET = X0 )
<=> X0 )
& ( X0
<=> ( mono_2Ec_2Ebool_2ET = X0 ) ) ),
inference(rectify,[],[f45]) ).
thf(f45,axiom,
! [X18: $o] :
( ( ~ X18
<=> ( mono_2Ec_2Ebool_2EF = X18 ) )
& ( ~ X18
<=> ( mono_2Ec_2Ebool_2EF = X18 ) )
& ( ( mono_2Ec_2Ebool_2ET = X18 )
<=> X18 )
& ( X18
<=> ( mono_2Ec_2Ebool_2ET = X18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
thf(f376,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ sK3 @ sK2 ) ) ) )
!= $true )
| spl7_6 ),
inference(avatar_component_clause,[],[f375]) ).
thf(f375,plain,
( spl7_6
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ sK3 @ sK2 ) ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
thf(f1018,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ sK3 @ sK2 ) ) ) )
= $true )
| ~ spl7_7 ),
inference(forward_demodulation,[],[f1017,f931]) ).
thf(f931,plain,
( ( ( s @ sK3 @ ( sK5 @ sK3 @ sK3 @ sK0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) )
= ( s @ sK3 @ sK1 ) )
| ~ spl7_7 ),
inference(forward_demodulation,[],[f890,f179]) ).
thf(f179,plain,
! [X2: d,X9: u] :
( ( s @ X2 @ X9 )
= ( s @ X2 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X9 ) ) ) ) ) ),
inference(cnf_transformation,[],[f119]) ).
thf(f119,plain,
! [X0: u,X1: d,X2: d,X3: u,X4: u] :
( ! [X5: u,X6: u] :
( ( s @ X1 @ X5 )
= ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ X1 @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X6 ) ) ) )
& ! [X7: u] :
( $true
= ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X7 ) ) ) ) )
& ! [X8: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X8 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2EOPTION__JOIN_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X8 ) ) ) ) ) )
& ( mono_2Ec_2Ebool_2EF
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2EOPTION__JOIN_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
& ! [X9: u] :
( ( s @ X2 @ X9 )
= ( s @ X2 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X9 ) ) ) ) ) )
& ! [X10: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X10 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X10 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ESOME_2E0 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X10 ) ) ) )
!= $true ) )
& ! [X11: u] :
( mono_2Ec_2Ebool_2ET
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X11 ) ) ) ) ) ) )
& ! [X12: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X12 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ESOME_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X12 ) )
& ! [X13: u] :
( ( ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X13 ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__NONE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X13 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__NONE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X13 ) ) ) )
= $true )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X13 ) ) ) )
& ! [X14: u] :
( ( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X14 ) @ ( s @ X1 @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X3 ) ) )
= ( s @ X1 @ X0 ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__NONE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X14 ) ) ) ) ) )
& ! [X15: u,X16: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X16 ) @ ( s @ X2 @ X15 ) ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2EOPTION__MAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X16 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X15 ) ) ) ) ) )
& ! [X17: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X17 ) ) ) )
!= $true )
| ( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X17 ) @ ( s @ X1 @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X3 ) ) )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X3 ) @ ( s @ X2 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X17 ) ) ) ) ) ) )
& ! [X18: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X18 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X18 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ESOME_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X18 ) )
& ! [X19: u,X20: u,X21: u] :
( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X19 ) ) ) @ ( s @ X1 @ X20 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X21 ) ) )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X21 ) @ ( s @ X2 @ X19 ) ) ) )
& ! [X22: u] :
( ( ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X22 ) ) ) ) )
= $true )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X22 ) ) )
& ( ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X22 ) )
| ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X22 ) ) ) ) )
!= $true ) ) )
& ! [X23: u,X24: u] :
( ( ( ( s @ X2 @ X23 )
= ( s @ X2 @ X24 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X24 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X23 ) ) ) ) )
& ( ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X24 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X23 ) ) ) )
| ( ( s @ X2 @ X23 )
!= ( s @ X2 @ X24 ) ) ) )
& ! [X25: u] :
( $true
= ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X25 ) ) ) ) )
& ! [X26: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X26 ) ) ) )
!= $true )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X26 ) ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X26 ) ) )
& ! [X27: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2EOPTION__MAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X27 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ),
inference(rectify,[],[f118]) ).
thf(f118,plain,
! [X0: u,X1: d,X2: d,X3: u,X4: u] :
( ! [X16: u,X17: u] :
( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ X1 @ X16 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X17 ) ) )
= ( s @ X1 @ X16 ) )
& ! [X21: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X21 ) ) ) )
= $true )
& ! [X23: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2EOPTION__JOIN_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X23 ) ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X23 ) )
& ( mono_2Ec_2Ebool_2EF
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2EOPTION__JOIN_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
& ! [X6: u] :
( ( s @ X2 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X6 ) ) ) ) )
= ( s @ X2 @ X6 ) )
& ! [X5: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X5 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X5 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ESOME_2E0 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X5 ) ) ) )
!= $true ) )
& ! [X22: u] :
( mono_2Ec_2Ebool_2ET
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X22 ) ) ) ) ) ) )
& ! [X9: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X9 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ESOME_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X9 ) )
& ! [X20: u] :
( ( ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X20 ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__NONE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X20 ) ) ) ) ) )
& ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__NONE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X20 ) ) ) ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X20 ) ) ) )
& ! [X24: u] :
( ( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X24 ) @ ( s @ X1 @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X3 ) ) )
= ( s @ X1 @ X0 ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__NONE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X24 ) ) ) ) ) )
& ! [X26: u,X27: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2EOPTION__MAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X27 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X26 ) ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X27 ) @ ( s @ X2 @ X26 ) ) ) ) ) )
& ! [X15: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X15 ) ) ) )
!= $true )
| ( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X15 ) @ ( s @ X1 @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X3 ) ) )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X3 ) @ ( s @ X2 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X15 ) ) ) ) ) ) )
& ! [X8: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X8 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X8 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X8 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ESOME_2E0 ) ) ) )
& ! [X10: u,X11: u,X12: u] :
( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X10 ) ) ) @ ( s @ X1 @ X11 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X12 ) ) )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X12 ) @ ( s @ X2 @ X10 ) ) ) )
& ! [X13: u] :
( ( ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X13 ) ) ) ) )
= $true )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X13 ) ) )
& ( ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X13 ) )
| ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X13 ) ) ) ) )
!= $true ) ) )
& ! [X18: u,X19: u] :
( ( ( ( s @ X2 @ X18 )
= ( s @ X2 @ X19 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X18 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X19 ) ) ) ) )
& ( ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X18 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X19 ) ) ) )
| ( ( s @ X2 @ X18 )
!= ( s @ X2 @ X19 ) ) ) )
& ! [X25: u] :
( $true
= ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X25 ) ) ) ) )
& ! [X7: u] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X7 ) ) ) ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X7 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X7 ) ) ) ) ) ) )
& ! [X14: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2EOPTION__MAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X14 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ),
inference(nnf_transformation,[],[f110]) ).
thf(f110,plain,
! [X0: u,X1: d,X2: d,X3: u,X4: u] :
( ! [X16: u,X17: u] :
( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ X1 @ X16 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X17 ) ) )
= ( s @ X1 @ X16 ) )
& ! [X21: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X21 ) ) ) )
= $true )
& ! [X23: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2EOPTION__JOIN_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X23 ) ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X23 ) )
& ( mono_2Ec_2Ebool_2EF
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2EOPTION__JOIN_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
& ! [X6: u] :
( ( s @ X2 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X6 ) ) ) ) )
= ( s @ X2 @ X6 ) )
& ! [X5: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X5 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X5 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ESOME_2E0 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X5 ) ) ) )
!= $true ) )
& ! [X22: u] :
( mono_2Ec_2Ebool_2ET
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X22 ) ) ) ) ) ) )
& ! [X9: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X9 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ESOME_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X9 ) )
& ! [X20: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X20 ) )
<=> ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__NONE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X20 ) ) ) ) ) )
& ! [X24: u] :
( ( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X24 ) @ ( s @ X1 @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X3 ) ) )
= ( s @ X1 @ X0 ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__NONE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X24 ) ) ) ) ) )
& ! [X26: u,X27: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2EOPTION__MAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X27 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X26 ) ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X27 ) @ ( s @ X2 @ X26 ) ) ) ) ) )
& ! [X15: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X15 ) ) ) )
!= $true )
| ( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X15 ) @ ( s @ X1 @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X3 ) ) )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X3 ) @ ( s @ X2 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X15 ) ) ) ) ) ) )
& ! [X8: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X8 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X8 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X8 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ESOME_2E0 ) ) ) )
& ! [X10: u,X11: u,X12: u] :
( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X10 ) ) ) @ ( s @ X1 @ X11 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X12 ) ) )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X12 ) @ ( s @ X2 @ X10 ) ) ) )
& ! [X13: u] :
( ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X13 ) ) ) ) )
= $true )
<=> ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X13 ) ) )
& ! [X18: u,X19: u] :
( ( ( s @ X2 @ X18 )
= ( s @ X2 @ X19 ) )
<=> ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X18 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X19 ) ) ) ) )
& ! [X25: u] :
( $true
= ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X25 ) ) ) ) )
& ! [X7: u] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X7 ) ) ) ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X7 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X7 ) ) ) ) ) ) )
& ! [X14: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2EOPTION__MAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X14 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ),
inference(ennf_transformation,[],[f76]) ).
thf(f76,plain,
! [X0: u,X1: d,X2: d,X3: u,X4: u] :
( ! [X10: u,X11: u,X12: u] :
( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X10 ) ) ) @ ( s @ X1 @ X11 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X12 ) ) )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X12 ) @ ( s @ X2 @ X10 ) ) ) )
& ! [X14: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2EOPTION__MAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X14 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
& ( mono_2Ec_2Ebool_2EF
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) )
& ! [X23: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2EOPTION__JOIN_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X23 ) ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X23 ) )
& ! [X8: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X8 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X8 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X8 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ESOME_2E0 ) ) ) )
& ! [X15: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X15 ) ) ) )
= $true )
=> ( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X15 ) @ ( s @ X1 @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X3 ) ) )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X3 ) @ ( s @ X2 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X15 ) ) ) ) ) ) )
& ! [X9: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X9 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ESOME_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X9 ) )
& ! [X22: u] :
( mono_2Ec_2Ebool_2ET
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X22 ) ) ) ) ) ) )
& ! [X26: u,X27: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2EOPTION__MAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X27 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X26 ) ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X27 ) @ ( s @ X2 @ X26 ) ) ) ) ) )
& ! [X6: u] :
( ( s @ X2 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X6 ) ) ) ) )
= ( s @ X2 @ X6 ) )
& ! [X16: u,X17: u] :
( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ X1 @ X16 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X17 ) ) )
= ( s @ X1 @ X16 ) )
& ! [X25: u] :
( $true
= ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X25 ) ) ) ) )
& ! [X18: u,X19: u] :
( ( ( s @ X2 @ X18 )
= ( s @ X2 @ X19 ) )
<=> ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X18 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X19 ) ) ) ) )
& ! [X5: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X5 ) ) ) )
= $true )
=> ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X5 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X5 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ESOME_2E0 ) ) ) ) )
& ! [X20: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X20 ) )
<=> ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__NONE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X20 ) ) ) ) ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2EOPTION__JOIN_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
& ! [X7: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X7 ) ) ) ) )
=> ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X7 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X7 ) ) ) ) ) ) )
& ! [X13: u] :
( ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X13 ) ) ) ) )
= $true )
<=> ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X13 ) ) )
& ! [X21: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X21 ) ) ) )
= $true )
& ! [X24: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__NONE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X24 ) ) ) ) )
=> ( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X24 ) @ ( s @ X1 @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X3 ) ) )
= ( s @ X1 @ X0 ) ) ) ),
inference(fool_elimination,[],[f75]) ).
thf(f75,plain,
! [X0: u,X1: d,X2: d,X3: u,X4: u] :
( ! [X5: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X5 ) ) ) )
=> ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X5 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X5 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ESOME_2E0 ) ) ) ) )
& ! [X6: u] :
( ( s @ X2 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X6 ) ) ) ) )
= ( s @ X2 @ X6 ) )
& ! [X7: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X7 ) ) ) )
=> ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X7 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X7 ) ) ) ) ) ) )
& ! [X8: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X8 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X8 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X8 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ESOME_2E0 ) ) ) )
& ! [X9: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X9 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ESOME_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X9 ) )
& ! [X10: u,X11: u,X12: u] :
( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X10 ) ) ) @ ( s @ X1 @ X11 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X12 ) ) )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X12 ) @ ( s @ X2 @ X10 ) ) ) )
& ! [X13: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X13 ) )
<=> ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X13 ) ) ) ) )
& ! [X14: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2EOPTION__MAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X14 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
& ! [X15: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X15 ) ) ) )
=> ( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X15 ) @ ( s @ X1 @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X3 ) ) )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X3 ) @ ( s @ X2 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X15 ) ) ) ) ) ) )
& ! [X16: u,X17: u] :
( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ X1 @ X16 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X17 ) ) )
= ( s @ X1 @ X16 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2EOPTION__JOIN_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
& ! [X18: u,X19: u] :
( ( ( s @ X2 @ X18 )
= ( s @ X2 @ X19 ) )
<=> ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X18 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X19 ) ) ) ) )
& ( mono_2Ec_2Ebool_2EF
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) )
& ! [X20: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X20 ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__NONE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X20 ) ) ) ) )
& ! [X21: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X21 ) ) ) )
& ! [X22: u] :
( mono_2Ec_2Ebool_2ET
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X22 ) ) ) ) ) ) )
& ! [X23: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2EOPTION__JOIN_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ ( tyop_2Eoption_2Eoption @ X2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X23 ) ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X23 ) )
& ! [X24: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__NONE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X24 ) ) ) )
=> ( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X24 ) @ ( s @ X1 @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X3 ) ) )
= ( s @ X1 @ X0 ) ) )
& ! [X25: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X25 ) ) ) )
& ! [X26: u,X27: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2EOPTION__MAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X27 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X26 ) ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X27 ) @ ( s @ X2 @ X26 ) ) ) ) ) ) ),
inference(rectify,[],[f46]) ).
thf(f46,axiom,
! [X20: u,X1: d,X0: d,X2: u,X19: u] :
( ! [X34: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X34 ) ) ) )
=> ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X34 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X34 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X19 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Eoption_2Eoption @ X0 ) ) @ c_2Eoption_2ESOME_2E0 ) ) ) ) )
& ! [X23: u] :
( ( s @ X0 @ X23 )
= ( s @ X0 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X23 ) ) ) ) ) )
& ! [X29: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X29 ) ) ) )
=> ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X29 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X29 ) ) ) ) ) ) )
& ! [X31: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X31 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X31 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X31 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Eoption_2Eoption @ X0 ) ) @ c_2Eoption_2ESOME_2E0 ) ) ) )
& ! [X30: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X30 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X30 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Eoption_2Eoption @ X0 ) ) @ c_2Eoption_2ESOME_2E0 ) ) ) )
& ! [X37: u,X38: u,X39: u] :
( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X37 ) ) ) @ ( s @ X1 @ X38 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X39 ) ) )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X39 ) @ ( s @ X0 @ X37 ) ) ) )
& ! [X28: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X28 ) )
<=> ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X28 ) ) ) ) )
& ! [X42: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2EOPTION__MAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X42 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ c_2Eoption_2ENONE_2E0 ) )
& ! [X33: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X33 ) ) ) )
=> ( ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X33 ) @ ( s @ X1 @ X20 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X2 ) ) )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X2 ) @ ( s @ X0 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X33 ) ) ) ) ) ) )
& ! [X35: u,X36: u] :
( ( s @ X1 @ X35 )
= ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ X1 @ X35 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X36 ) ) ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2EOPTION__JOIN_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ ( tyop_2Eoption_2Eoption @ X0 ) ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
& ! [X21: u,X22: u] :
( ( ( s @ X0 @ X21 )
= ( s @ X0 @ X22 ) )
<=> ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X21 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X22 ) ) ) ) )
& ( mono_2Ec_2Ebool_2EF
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) )
& ! [X27: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X27 ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__NONE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X27 ) ) ) ) )
& ! [X24: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X24 ) ) ) )
& ! [X26: u] :
( mono_2Ec_2Ebool_2ET
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X26 ) ) ) ) ) ) )
& ! [X43: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X43 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2EOPTION__JOIN_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ ( tyop_2Eoption_2Eoption @ X0 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X43 ) ) ) ) ) )
& ! [X32: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__NONE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X32 ) ) ) )
=> ( ( s @ X1 @ X20 )
= ( s @ X1 @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X32 ) @ ( s @ X1 @ X20 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X2 ) ) ) ) )
& ! [X25: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X25 ) ) ) )
& ! [X41: u,X40: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2EOPTION__MAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X40 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X41 ) ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X40 ) @ ( s @ X0 @ X41 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eoption_2Eoption__CLAUSES) ).
thf(f890,plain,
( ( ( s @ sK3 @ ( sK5 @ sK3 @ sK3 @ sK0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) )
= ( s @ sK3 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) ) ) )
| ~ spl7_7 ),
inference(superposition,[],[f179,f819]) ).
thf(f819,plain,
( ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ ( sK5 @ sK3 @ sK3 @ sK0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) ) ) ) )
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f812,f303]) ).
thf(f303,plain,
! [X2: d,X7: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X7 ) ) ) ),
inference(equality_proxy_clausification,[],[f302]) ).
thf(f302,plain,
! [X2: d,X7: u] :
( $false
= ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X7 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f301]) ).
thf(f301,plain,
! [X2: d,X7: u] :
( ( $false
= ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X7 ) ) ) ) )
| ( $true = $false ) ),
inference(boolean_simplification,[],[f298]) ).
thf(f298,plain,
! [X2: d,X7: u] :
( ( $false
= ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X7 ) ) ) ) )
| ( ~ $true = $true ) ),
inference(cases_simplifying,[],[f183]) ).
thf(f183,plain,
! [X2: d,X7: u] :
( $true
= ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X2 @ X7 ) ) ) ) ),
inference(cnf_transformation,[],[f119]) ).
thf(f812,plain,
( ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ ( sK5 @ sK3 @ sK3 @ sK0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) ) ) ) )
| ~ spl7_7 ),
inference(trivial_inequality_removal,[],[f796]) ).
thf(f796,plain,
( ( $true != $true )
| ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ ( sK5 @ sK3 @ sK3 @ sK0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) ) ) ) )
| ~ spl7_7 ),
inference(superposition,[],[f220,f381]) ).
thf(f381,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
= $true )
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f379]) ).
thf(f379,plain,
( spl7_7
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
thf(f220,plain,
! [X2: u,X3: d,X0: u,X1: u,X4: d] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) ) ) )
!= $true )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X4 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) ) ),
inference(cnf_transformation,[],[f128]) ).
thf(f128,plain,
! [X0: u,X1: u,X2: u,X3: d,X4: d] :
( ( ( ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X4 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ ( sK6 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ X4 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) ) @ ( s @ X3 @ ( sK6 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ) ) )
| ( ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) ) ) )
= $true )
| ( ! [X7: u,X8: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X4 @ X7 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X8 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ X4 @ X7 ) ) ) @ ( s @ X3 @ X8 ) ) ) ) ) )
& ( ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f126,f127]) ).
thf(f127,plain,
! [X0: u,X1: u,X2: u,X3: d,X4: d] :
( ? [X5: u,X6: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X4 @ X5 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X6 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X3 @ X6 ) ) ) ) ) )
=> ( ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X4 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ ( sK6 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ X4 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) ) @ ( s @ X3 @ ( sK6 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f126,plain,
! [X0: u,X1: u,X2: u,X3: d,X4: d] :
( ( ? [X5: u,X6: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X4 @ X5 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X6 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X3 @ X6 ) ) ) ) ) )
| ( ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) ) ) )
= $true )
| ( ! [X7: u,X8: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X4 @ X7 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X8 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ X4 @ X7 ) ) ) @ ( s @ X3 @ X8 ) ) ) ) ) )
& ( ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) ) ) ) ) ),
inference(rectify,[],[f125]) ).
thf(f125,plain,
! [X0: u,X1: u,X2: u,X3: d,X4: d] :
( ( ? [X5: u,X6: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X4 @ X5 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X6 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X3 @ X6 ) ) ) ) ) )
| ( ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) ) ) )
= $true )
| ( ! [X5: u,X6: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X4 @ X5 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X6 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X3 @ X6 ) ) ) ) ) )
& ( ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) ) ) ) ) ),
inference(flattening,[],[f124]) ).
thf(f124,plain,
! [X0: u,X1: u,X2: u,X3: d,X4: d] :
( ( ? [X5: u,X6: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X4 @ X5 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X6 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X3 @ X6 ) ) ) ) ) )
| ( ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) ) ) )
= $true )
| ( ! [X5: u,X6: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X4 @ X5 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X6 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X3 @ X6 ) ) ) ) ) )
& ( ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) ) ) ) ) ),
inference(nnf_transformation,[],[f58]) ).
thf(f58,plain,
! [X0: u,X1: u,X2: u,X3: d,X4: d] :
( ( ? [X5: u,X6: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X4 @ X5 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X6 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X3 @ X6 ) ) ) ) ) )
| ( ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) ) ) )
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) ) ) )
= $true ) ),
inference(fool_elimination,[],[f57]) ).
thf(f57,plain,
! [X0: u,X1: u,X2: u,X3: d,X4: d] :
( ( ? [X5: u,X6: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X6 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X4 @ X5 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) )
& ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X3 @ X6 ) ) ) ) )
| ( ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) ) ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) ) ) ) ),
inference(rectify,[],[f47]) ).
thf(f47,axiom,
! [X12: u,X45: u,X44: u,X1: d,X0: d] :
( ( ? [X46: u,X47: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ X45 )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X1 @ X47 ) ) ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X12 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X46 ) ) ) )
& ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X44 ) @ ( s @ X0 @ X46 ) ) ) @ ( s @ X1 @ X47 ) ) ) ) )
| ( ( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ X45 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X12 ) ) ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X44 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X12 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ X45 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eoption_2EOPTREL__def) ).
thf(f1017,plain,
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ ( sK5 @ sK3 @ sK3 @ sK0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) ) ) ) @ ( s @ sK3 @ sK2 ) ) ) ) )
| ~ spl7_7 ),
inference(trivial_inequality_removal,[],[f1016]) ).
thf(f1016,plain,
( ( $true = $false )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ ( sK5 @ sK3 @ sK3 @ sK0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) ) ) ) @ ( s @ sK3 @ sK2 ) ) ) ) )
| ~ spl7_7 ),
inference(forward_demodulation,[],[f1015,f381]) ).
thf(f1015,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
= $false )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ ( sK5 @ sK3 @ sK3 @ sK0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) ) ) ) @ ( s @ sK3 @ sK2 ) ) ) ) )
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f1004,f303]) ).
thf(f1004,plain,
( ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ ( sK5 @ sK3 @ sK3 @ sK0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) ) ) ) @ ( s @ sK3 @ sK2 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
= $false )
| ~ spl7_7 ),
inference(superposition,[],[f476,f993]) ).
thf(f993,plain,
( ( ( s @ sK3 @ sK2 )
= ( s @ sK3 @ ( sK6 @ sK3 @ sK3 @ sK0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) ) )
| ~ spl7_7 ),
inference(forward_demodulation,[],[f954,f179]) ).
thf(f954,plain,
( ( ( s @ sK3 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) )
= ( s @ sK3 @ ( sK6 @ sK3 @ sK3 @ sK0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) ) )
| ~ spl7_7 ),
inference(superposition,[],[f179,f828]) ).
thf(f828,plain,
( ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ ( sK6 @ sK3 @ sK3 @ sK0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) ) ) ) )
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f803,f303]) ).
thf(f803,plain,
( ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ ( sK6 @ sK3 @ sK3 @ sK0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) ) ) ) )
| ~ spl7_7 ),
inference(trivial_inequality_removal,[],[f794]) ).
thf(f794,plain,
( ( $true != $true )
| ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ ( sK6 @ sK3 @ sK3 @ sK0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) ) ) ) )
| ~ spl7_7 ),
inference(superposition,[],[f218,f381]) ).
thf(f218,plain,
! [X2: u,X3: d,X0: u,X1: u,X4: d] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) ) ) )
!= $true )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ ( sK6 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) ) ),
inference(cnf_transformation,[],[f128]) ).
thf(f476,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ X0 @ ( sK5 @ X0 @ X1 @ X2 @ X4 @ X3 ) ) ) ) @ ( s @ X1 @ ( sK6 @ X0 @ X1 @ X2 @ X4 @ X3 ) ) ) ) )
= $true )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X3 ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X3 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ X4 ) ) ) )
= $false ) ),
inference(trivial_inequality_removal,[],[f475]) ).
thf(f475,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u] :
( ( $true != $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ X0 @ ( sK5 @ X0 @ X1 @ X2 @ X4 @ X3 ) ) ) ) @ ( s @ X1 @ ( sK6 @ X0 @ X1 @ X2 @ X4 @ X3 ) ) ) ) )
= $true )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X3 ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X3 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ X4 ) ) ) )
= $false ) ),
inference(superposition,[],[f216,f306]) ).
thf(f216,plain,
! [X2: u,X3: d,X0: u,X1: u,X4: d] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) ) ) )
!= $true )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ X4 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) ) @ ( s @ X3 @ ( sK6 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) ) ),
inference(cnf_transformation,[],[f128]) ).
thf(f839,plain,
( ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7 ),
inference(avatar_contradiction_clause,[],[f838]) ).
thf(f838,plain,
( $false
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7 ),
inference(trivial_inequality_removal,[],[f830]) ).
thf(f830,plain,
( ( $true = $false )
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7 ),
inference(backward_demodulation,[],[f381,f787]) ).
thf(f787,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
= $false )
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6 ),
inference(trivial_inequality_removal,[],[f786]) ).
thf(f786,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
= $false )
| ( $true = $false )
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6 ),
inference(forward_demodulation,[],[f785,f377]) ).
thf(f377,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ sK3 @ sK2 ) ) ) )
= $true )
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f375]) ).
thf(f785,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ sK3 @ sK2 ) ) ) )
= $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
= $false )
| ~ spl7_4
| ~ spl7_5 ),
inference(subsumption_resolution,[],[f784,f372]) ).
thf(f372,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
= $false )
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f371]) ).
thf(f371,plain,
( spl7_5
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
thf(f784,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
!= $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
= $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ sK3 @ sK2 ) ) ) )
= $false )
| ~ spl7_4 ),
inference(subsumption_resolution,[],[f783,f496]) ).
thf(f496,plain,
! [X2: u,X0: d,X1: d] :
( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ),
inference(equality_resolution,[],[f400]) ).
thf(f400,plain,
! [X2: d,X3: u,X0: d,X1: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X1 ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X1 ) ) ) )
= $true ) ),
inference(equality_resolution,[],[f214]) ).
thf(f214,plain,
! [X2: u,X3: d,X0: u,X1: u,X4: d] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) ) ) )
= $true ) ),
inference(cnf_transformation,[],[f128]) ).
thf(f783,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
!= $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ sK3 @ sK2 ) ) ) )
= $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
= $false )
| ~ spl7_4 ),
inference(subsumption_resolution,[],[f311,f368]) ).
thf(f368,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
= $false )
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f367]) ).
thf(f367,plain,
( spl7_4
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
thf(f311,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
!= $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
!= $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ sK3 @ sK2 ) ) ) )
= $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f309]) ).
thf(f309,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ sK3 @ sK2 ) ) ) )
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
!= $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
!= $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
!= $true ) ),
inference(boolean_simplification,[],[f308]) ).
thf(f308,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
!= $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ sK3 @ sK2 ) ) ) )
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) ) )
| ( ~ $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ) ),
inference(boolean_simplification,[],[f237]) ).
thf(f237,plain,
( ( ~ $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ sK3 @ sK2 ) ) ) )
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) ) )
| ( ~ $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f152,f226,f226,f159]) ).
thf(f152,plain,
( ( mono_2Ec_2Ebool_2EF
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ sK3 @ sK2 ) ) ) )
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) ) )
| ( mono_2Ec_2Ebool_2EF
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) ) )
| ( mono_2Ec_2Ebool_2ET
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f114]) ).
thf(f114,plain,
( ( mono_2Ec_2Ebool_2EF
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ sK3 @ sK2 ) ) ) )
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) ) )
| ( mono_2Ec_2Ebool_2EF
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) ) )
| ( mono_2Ec_2Ebool_2ET
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f105,f113]) ).
thf(f113,plain,
( ? [X0: u,X1: u,X2: u,X3: d] :
( ( mono_2Ec_2Ebool_2EF
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X3 @ X1 ) ) ) @ ( s @ X3 @ X2 ) ) ) )
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X2 ) ) ) ) ) ) )
| ( mono_2Ec_2Ebool_2EF
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X2 ) ) ) ) ) ) )
| ( mono_2Ec_2Ebool_2ET
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ) )
=> ( ( mono_2Ec_2Ebool_2EF
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ sK3 @ sK2 ) ) ) )
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) ) )
| ( mono_2Ec_2Ebool_2EF
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) ) )
| ( mono_2Ec_2Ebool_2ET
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f105,plain,
? [X0: u,X1: u,X2: u,X3: d] :
( ( mono_2Ec_2Ebool_2EF
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X3 @ X1 ) ) ) @ ( s @ X3 @ X2 ) ) ) )
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X2 ) ) ) ) ) ) )
| ( mono_2Ec_2Ebool_2EF
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X2 ) ) ) ) ) ) )
| ( mono_2Ec_2Ebool_2ET
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ) ),
inference(ennf_transformation,[],[f89]) ).
thf(f89,plain,
~ ! [X0: u,X1: u,X2: u,X3: d] :
( ( mono_2Ec_2Ebool_2EF
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X2 ) ) ) ) ) ) )
& ( mono_2Ec_2Ebool_2EF
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) )
& ( mono_2Ec_2Ebool_2ET
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X3 @ X1 ) ) ) @ ( s @ X3 @ X2 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X2 ) ) ) ) ) ) ) ),
inference(rectify,[],[f49]) ).
thf(f49,negated_conjecture,
~ ! [X49: u,X12: u,X48: u,X0: d] :
( ( mono_2Ec_2Ebool_2ET
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X49 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X49 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X12 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X48 ) ) ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X49 ) @ ( s @ X0 @ X12 ) ) ) @ ( s @ X0 @ X48 ) ) ) ) )
& ( mono_2Ec_2Ebool_2EF
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X49 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X48 ) ) ) ) ) ) )
& ( mono_2Ec_2Ebool_2EF
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X49 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X12 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ) ),
inference(negated_conjecture,[],[f48]) ).
thf(f48,conjecture,
! [X49: u,X12: u,X48: u,X0: d] :
( ( mono_2Ec_2Ebool_2ET
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X49 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X49 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X12 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X48 ) ) ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X49 ) @ ( s @ X0 @ X12 ) ) ) @ ( s @ X0 @ X48 ) ) ) ) )
& ( mono_2Ec_2Ebool_2EF
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X49 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X48 ) ) ) ) ) ) )
& ( mono_2Ec_2Ebool_2EF
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X49 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X12 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Equotient__option_2EOPTION__REL__def) ).
thf(f782,plain,
( ~ spl7_6
| spl7_7 ),
inference(avatar_contradiction_clause,[],[f781]) ).
thf(f781,plain,
( $false
| ~ spl7_6
| spl7_7 ),
inference(trivial_inequality_removal,[],[f780]) ).
thf(f780,plain,
( ( $true = $false )
| ~ spl7_6
| spl7_7 ),
inference(forward_demodulation,[],[f779,f393]) ).
thf(f393,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
= $false )
| spl7_7 ),
inference(trivial_inequality_removal,[],[f392]) ).
thf(f392,plain,
( ( $true != $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
= $false )
| spl7_7 ),
inference(superposition,[],[f380,f306]) ).
thf(f380,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
!= $true )
| spl7_7 ),
inference(avatar_component_clause,[],[f379]) ).
thf(f779,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
= $true )
| ~ spl7_6 ),
inference(equality_resolution,[],[f774]) ).
thf(f774,plain,
( ! [X0: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ X0 ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
= $true ) )
| ~ spl7_6 ),
inference(equality_resolution,[],[f769]) ).
thf(f769,plain,
( ! [X0: u,X1: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ X1 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ X0 ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ X1 ) ) ) )
= $true ) )
| ~ spl7_6 ),
inference(trivial_inequality_removal,[],[f768]) ).
thf(f768,plain,
( ! [X0: u,X1: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ X0 ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ X1 ) ) ) )
= $true )
| ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ X1 ) )
| ( $true != $true ) )
| ~ spl7_6 ),
inference(superposition,[],[f215,f377]) ).
thf(f215,plain,
! [X2: u,X3: d,X0: u,X1: u,X8: u,X7: u,X4: d] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ X4 @ X7 ) ) ) @ ( s @ X3 @ X8 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) ) ) )
= $true )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X4 @ X7 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X3 @ X8 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) ) ),
inference(cnf_transformation,[],[f128]) ).
thf(f767,plain,
spl7_3,
inference(avatar_contradiction_clause,[],[f766]) ).
thf(f766,plain,
( $false
| spl7_3 ),
inference(trivial_inequality_removal,[],[f748]) ).
thf(f748,plain,
( ( $true = $false )
| spl7_3 ),
inference(superposition,[],[f496,f384]) ).
thf(f384,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
= $false )
| spl7_3 ),
inference(trivial_inequality_removal,[],[f383]) ).
thf(f383,plain,
( ( $true != $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
= $false )
| spl7_3 ),
inference(superposition,[],[f365,f306]) ).
thf(f365,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
!= $true )
| spl7_3 ),
inference(avatar_component_clause,[],[f363]) ).
thf(f363,plain,
( spl7_3
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
thf(f645,plain,
spl7_4,
inference(avatar_contradiction_clause,[],[f644]) ).
thf(f644,plain,
( $false
| spl7_4 ),
inference(subsumption_resolution,[],[f643,f303]) ).
thf(f643,plain,
( ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ ( sK5 @ sK3 @ sK3 @ sK0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) )
| spl7_4 ),
inference(subsumption_resolution,[],[f639,f303]) ).
thf(f639,plain,
( ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ ( sK5 @ sK3 @ sK3 @ sK0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) )
| spl7_4 ),
inference(trivial_inequality_removal,[],[f630]) ).
thf(f630,plain,
( ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ ( sK5 @ sK3 @ sK3 @ sK0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) )
| ( $false != $false )
| ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) )
| spl7_4 ),
inference(superposition,[],[f369,f453]) ).
thf(f453,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X3 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ X4 ) ) ) )
= $false )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ X4 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ ( sK5 @ X0 @ X1 @ X2 @ X4 @ X3 ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f452]) ).
thf(f452,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X3 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ X4 ) ) ) )
= $false )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ X4 ) )
| ( $true != $true )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ ( sK5 @ X0 @ X1 @ X2 @ X4 @ X3 ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X3 ) ) ),
inference(superposition,[],[f221,f306]) ).
thf(f221,plain,
! [X2: u,X3: d,X0: u,X1: u,X4: d] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) ) ) )
!= $true )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X4 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X0 ) ) ),
inference(cnf_transformation,[],[f128]) ).
thf(f369,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
!= $false )
| spl7_4 ),
inference(avatar_component_clause,[],[f367]) ).
thf(f528,plain,
spl7_5,
inference(avatar_contradiction_clause,[],[f527]) ).
thf(f527,plain,
( $false
| spl7_5 ),
inference(subsumption_resolution,[],[f526,f303]) ).
thf(f526,plain,
( ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) )
| spl7_5 ),
inference(subsumption_resolution,[],[f525,f303]) ).
thf(f525,plain,
( ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ ( sK6 @ sK3 @ sK3 @ sK0 @ c_2Eoption_2ENONE_2E0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) )
| spl7_5 ),
inference(trivial_inequality_removal,[],[f513]) ).
thf(f513,plain,
( ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) )
| ( $false != $false )
| ( ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ ( sK6 @ sK3 @ sK3 @ sK0 @ c_2Eoption_2ENONE_2E0 @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) )
| spl7_5 ),
inference(superposition,[],[f373,f411]) ).
thf(f411,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X3 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ X4 ) ) ) )
= $false )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X3 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X1 @ ( sK6 @ X0 @ X1 @ X2 @ X4 @ X3 ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ X4 ) ) ),
inference(trivial_inequality_removal,[],[f410]) ).
thf(f410,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X1 @ ( sK6 @ X0 @ X1 @ X2 @ X4 @ X3 ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ X4 ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X3 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ X4 ) ) ) )
= $false )
| ( $true != $true )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X3 ) ) ),
inference(superposition,[],[f218,f306]) ).
thf(f373,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
!= $false )
| spl7_5 ),
inference(avatar_component_clause,[],[f371]) ).
thf(f382,plain,
( ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| spl7_6
| spl7_7 ),
inference(avatar_split_clause,[],[f310,f379,f375,f371,f367,f363]) ).
thf(f310,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ sK3 @ sK2 ) ) ) )
= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK1 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
!= $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sK3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sK3 @ sK2 ) ) ) ) ) )
!= $false ) ),
inference(binary_proxy_clausification,[],[f309]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP011^1 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.39 % Computer : n026.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8042.1875MB
% 0.15/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Sat May 18 18:27:08 EDT 2024
% 0.15/0.39 % CPUTime :
% 0.15/0.39 This is a TH0_THM_EQU_NAR problem
% 0.15/0.39 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.42 % (26214)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.25/0.42 % (26216)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 theBenchmark for (2999ds/27Mi)
% 0.25/0.42 % (26221)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.25/0.42 % (26218)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.25/0.42 % (26219)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.25/0.42 % (26217)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.25/0.42 % (26215)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 theBenchmark for (2999ds/4Mi)
% 0.25/0.42 % (26220)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.25/0.42 % (26217)Instruction limit reached!
% 0.25/0.42 % (26217)------------------------------
% 0.25/0.42 % (26217)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.42 % (26217)Termination reason: Unknown
% 0.25/0.42 % (26217)Termination phase: shuffling
% 0.25/0.42 % (26218)Instruction limit reached!
% 0.25/0.42 % (26218)------------------------------
% 0.25/0.42 % (26218)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.42
% 0.25/0.42 % (26217)Memory used [KB]: 1023
% 0.25/0.42 % (26217)Time elapsed: 0.003 s
% 0.25/0.42 % (26217)Instructions burned: 2 (million)
% 0.25/0.42 % (26217)------------------------------
% 0.25/0.42 % (26217)------------------------------
% 0.25/0.42 % (26218)Termination reason: Unknown
% 0.25/0.42 % (26218)Termination phase: shuffling
% 0.25/0.42
% 0.25/0.42 % (26218)Memory used [KB]: 1023
% 0.25/0.42 % (26218)Time elapsed: 0.003 s
% 0.25/0.42 % (26218)Instructions burned: 2 (million)
% 0.25/0.42 % (26218)------------------------------
% 0.25/0.42 % (26218)------------------------------
% 0.25/0.42 % (26221)Instruction limit reached!
% 0.25/0.42 % (26221)------------------------------
% 0.25/0.42 % (26221)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.42 % (26221)Termination reason: Unknown
% 0.25/0.42 % (26221)Termination phase: shuffling
% 0.25/0.42
% 0.25/0.42 % (26221)Memory used [KB]: 1023
% 0.25/0.42 % (26221)Time elapsed: 0.003 s
% 0.25/0.42 % (26221)Instructions burned: 3 (million)
% 0.25/0.42 % (26221)------------------------------
% 0.25/0.42 % (26221)------------------------------
% 0.25/0.42 % (26215)Instruction limit reached!
% 0.25/0.42 % (26215)------------------------------
% 0.25/0.42 % (26215)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.42 % (26215)Termination reason: Unknown
% 0.25/0.42 % (26215)Termination phase: shuffling
% 0.25/0.42
% 0.25/0.42 % (26215)Memory used [KB]: 1151
% 0.25/0.42 % (26215)Time elapsed: 0.003 s
% 0.25/0.42 % (26215)Instructions burned: 4 (million)
% 0.25/0.42 % (26215)------------------------------
% 0.25/0.42 % (26215)------------------------------
% 0.25/0.43 % (26220)Instruction limit reached!
% 0.25/0.43 % (26220)------------------------------
% 0.25/0.43 % (26220)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.43 % (26220)Termination reason: Unknown
% 0.25/0.43 % (26220)Termination phase: Preprocessing 3
% 0.25/0.43
% 0.25/0.43 % (26220)Memory used [KB]: 1279
% 0.25/0.43 % (26220)Time elapsed: 0.011 s
% 0.25/0.43 % (26220)Instructions burned: 18 (million)
% 0.25/0.43 % (26220)------------------------------
% 0.25/0.43 % (26220)------------------------------
% 0.25/0.43 % (26216)Instruction limit reached!
% 0.25/0.43 % (26216)------------------------------
% 0.25/0.43 % (26216)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.43 % (26216)Termination reason: Unknown
% 0.25/0.43 % (26216)Termination phase: Property scanning
% 0.25/0.43
% 0.25/0.43 % (26216)Memory used [KB]: 1279
% 0.25/0.43 % (26216)Time elapsed: 0.015 s
% 0.25/0.43 % (26216)Instructions burned: 27 (million)
% 0.25/0.43 % (26216)------------------------------
% 0.25/0.43 % (26216)------------------------------
% 0.25/0.43 % (26222)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 theBenchmark for (2999ds/37Mi)
% 0.25/0.43 % (26224)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.25/0.43 % (26223)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 theBenchmark for (2999ds/15Mi)
% 0.25/0.43 % (26225)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 theBenchmark for (2999ds/1041Mi)
% 0.25/0.44 % (26224)Instruction limit reached!
% 0.25/0.44 % (26224)------------------------------
% 0.25/0.44 % (26224)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.44 % (26224)Termination reason: Unknown
% 0.25/0.44 % (26224)Termination phase: shuffling
% 0.25/0.44
% 0.25/0.44 % (26224)Memory used [KB]: 1023
% 0.25/0.44 % (26224)Time elapsed: 0.003 s
% 0.25/0.44 % (26224)Instructions burned: 3 (million)
% 0.25/0.44 % (26224)------------------------------
% 0.25/0.44 % (26224)------------------------------
% 0.25/0.44 % (26223)Instruction limit reached!
% 0.25/0.44 % (26223)------------------------------
% 0.25/0.44 % (26223)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.44 % (26223)Termination reason: Unknown
% 0.25/0.44 % (26223)Termination phase: Preprocessing 1
% 0.25/0.44
% 0.25/0.44 % (26223)Memory used [KB]: 1151
% 0.25/0.44 % (26223)Time elapsed: 0.009 s
% 0.25/0.44 % (26223)Instructions burned: 15 (million)
% 0.25/0.44 % (26223)------------------------------
% 0.25/0.44 % (26223)------------------------------
% 0.25/0.44 % (26226)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.25/0.45 % (26227)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.25/0.45 % (26226)Instruction limit reached!
% 0.25/0.45 % (26226)------------------------------
% 0.25/0.45 % (26226)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.45 % (26226)Termination reason: Unknown
% 0.25/0.45 % (26226)Termination phase: Property scanning
% 0.25/0.45
% 0.25/0.45 % (26226)Memory used [KB]: 1151
% 0.25/0.45 % (26226)Time elapsed: 0.006 s
% 0.25/0.45 % (26226)Instructions burned: 8 (million)
% 0.25/0.45 % (26226)------------------------------
% 0.25/0.45 % (26226)------------------------------
% 0.25/0.45 % (26228)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 theBenchmark for (2999ds/3Mi)
% 0.25/0.45 % (26222)Instruction limit reached!
% 0.25/0.45 % (26222)------------------------------
% 0.25/0.45 % (26222)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.45 % (26222)Termination reason: Unknown
% 0.25/0.45 % (26222)Termination phase: Property scanning
% 0.25/0.45
% 0.25/0.45 % (26222)Memory used [KB]: 1407
% 0.25/0.45 % (26222)Time elapsed: 0.019 s
% 0.25/0.45 % (26222)Instructions burned: 37 (million)
% 0.25/0.45 % (26222)------------------------------
% 0.25/0.45 % (26222)------------------------------
% 0.25/0.45 % (26228)Instruction limit reached!
% 0.25/0.45 % (26228)------------------------------
% 0.25/0.45 % (26228)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.45 % (26228)Termination reason: Unknown
% 0.25/0.45 % (26228)Termination phase: shuffling
% 0.25/0.45
% 0.25/0.45 % (26228)Memory used [KB]: 1151
% 0.25/0.45 % (26228)Time elapsed: 0.004 s
% 0.25/0.45 % (26228)Instructions burned: 4 (million)
% 0.25/0.45 % (26228)------------------------------
% 0.25/0.45 % (26228)------------------------------
% 0.25/0.45 % (26227)Instruction limit reached!
% 0.25/0.45 % (26227)------------------------------
% 0.25/0.45 % (26227)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.45 % (26227)Termination reason: Unknown
% 0.25/0.45 % (26227)Termination phase: Preprocessing 3
% 0.25/0.45
% 0.25/0.45 % (26227)Memory used [KB]: 1151
% 0.25/0.45 % (26227)Time elapsed: 0.010 s
% 0.25/0.45 % (26227)Instructions burned: 17 (million)
% 0.25/0.45 % (26227)------------------------------
% 0.25/0.45 % (26227)------------------------------
% 0.25/0.46 % (26229)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 theBenchmark for (2999ds/3Mi)
% 0.25/0.46 % (26229)Instruction limit reached!
% 0.25/0.46 % (26229)------------------------------
% 0.25/0.46 % (26229)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.46 % (26229)Termination reason: Unknown
% 0.25/0.46 % (26229)Termination phase: shuffling
% 0.25/0.46
% 0.25/0.46 % (26229)Memory used [KB]: 1151
% 0.25/0.46 % (26229)Time elapsed: 0.004 s
% 0.25/0.46 % (26229)Instructions burned: 4 (million)
% 0.25/0.46 % (26229)------------------------------
% 0.25/0.46 % (26229)------------------------------
% 0.25/0.46 % (26230)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.25/0.46 % (26230)Instruction limit reached!
% 0.25/0.46 % (26230)------------------------------
% 0.25/0.46 % (26230)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.46 % (26230)Termination reason: Unknown
% 0.25/0.46 % (26230)Termination phase: shuffling
% 0.25/0.46
% 0.25/0.46 % (26230)Memory used [KB]: 1151
% 0.25/0.46 % (26230)Time elapsed: 0.005 s
% 0.25/0.46 % (26230)Instructions burned: 7 (million)
% 0.25/0.46 % (26230)------------------------------
% 0.25/0.46 % (26230)------------------------------
% 0.25/0.47 % (26231)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.25/0.47 % (26232)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.25/0.47 % (26231)Instruction limit reached!
% 0.25/0.47 % (26231)------------------------------
% 0.25/0.47 % (26231)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.47 % (26231)Termination reason: Unknown
% 0.25/0.47 % (26231)Termination phase: shuffling
% 0.25/0.47
% 0.25/0.47 % (26231)Memory used [KB]: 1023
% 0.25/0.47 % (26231)Time elapsed: 0.003 s
% 0.25/0.47 % (26231)Instructions burned: 3 (million)
% 0.25/0.47 % (26231)------------------------------
% 0.25/0.47 % (26231)------------------------------
% 0.25/0.47 % (26233)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.25/0.47 % (26232)Instruction limit reached!
% 0.25/0.47 % (26232)------------------------------
% 0.25/0.47 % (26232)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.47 % (26232)Termination reason: Unknown
% 0.25/0.47 % (26232)Termination phase: shuffling
% 0.25/0.47
% 0.25/0.47 % (26232)Memory used [KB]: 1151
% 0.25/0.47 % (26232)Time elapsed: 0.004 s
% 0.25/0.47 % (26232)Instructions burned: 5 (million)
% 0.25/0.47 % (26232)------------------------------
% 0.25/0.47 % (26232)------------------------------
% 0.25/0.47 % (26234)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.25/0.48 % (26233)Instruction limit reached!
% 0.25/0.48 % (26233)------------------------------
% 0.25/0.48 % (26233)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.48 % (26233)Termination reason: Unknown
% 0.25/0.48 % (26233)Termination phase: Preprocessing 3
% 0.25/0.48
% 0.25/0.48 % (26233)Memory used [KB]: 1279
% 0.25/0.48 % (26233)Time elapsed: 0.011 s
% 0.25/0.48 % (26233)Instructions burned: 19 (million)
% 0.25/0.48 % (26233)------------------------------
% 0.25/0.48 % (26233)------------------------------
% 0.25/0.48 % (26235)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.25/0.48 % (26235)Instruction limit reached!
% 0.25/0.48 % (26235)------------------------------
% 0.25/0.48 % (26235)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.48 % (26235)Termination reason: Unknown
% 0.25/0.48 % (26235)Termination phase: shuffling
% 0.25/0.48
% 0.25/0.48 % (26235)Memory used [KB]: 1151
% 0.25/0.48 % (26235)Time elapsed: 0.005 s
% 0.25/0.48 % (26235)Instructions burned: 6 (million)
% 0.25/0.48 % (26235)------------------------------
% 0.25/0.48 % (26235)------------------------------
% 0.25/0.48 % (26236)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 theBenchmark for (2999ds/902Mi)
% 0.25/0.48 % (26237)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 theBenchmark for (2999ds/21Mi)
% 0.25/0.49 % (26238)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.25/0.49 % (26237)Instruction limit reached!
% 0.25/0.49 % (26237)------------------------------
% 0.25/0.49 % (26237)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.49 % (26237)Termination reason: Unknown
% 0.25/0.49 % (26237)Termination phase: shuffling
% 0.25/0.49
% 0.25/0.49 % (26237)Memory used [KB]: 1279
% 0.25/0.49 % (26237)Time elapsed: 0.012 s
% 0.25/0.49 % (26237)Instructions burned: 21 (million)
% 0.25/0.49 % (26237)------------------------------
% 0.25/0.49 % (26237)------------------------------
% 0.25/0.49 % (26238)Instruction limit reached!
% 0.25/0.49 % (26238)------------------------------
% 0.25/0.49 % (26238)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.49 % (26238)Termination reason: Unknown
% 0.25/0.49 % (26238)Termination phase: shuffling
% 0.25/0.49
% 0.25/0.49 % (26238)Memory used [KB]: 1151
% 0.25/0.49 % (26238)Time elapsed: 0.004 s
% 0.25/0.49 % (26238)Instructions burned: 5 (million)
% 0.25/0.49 % (26238)------------------------------
% 0.25/0.49 % (26238)------------------------------
% 0.25/0.50 % (26239)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 theBenchmark for (2999ds/6Mi)
% 0.25/0.50 % (26239)Instruction limit reached!
% 0.25/0.50 % (26239)------------------------------
% 0.25/0.50 % (26239)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.50 % (26239)Termination reason: Unknown
% 0.25/0.50 % (26239)Termination phase: shuffling
% 0.25/0.50
% 0.25/0.50 % (26239)Memory used [KB]: 1151
% 0.25/0.50 % (26239)Time elapsed: 0.005 s
% 0.25/0.50 % (26239)Instructions burned: 6 (million)
% 0.25/0.50 % (26239)------------------------------
% 0.25/0.50 % (26239)------------------------------
% 0.25/0.51 % (26240)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.25/0.51 % (26241)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 theBenchmark for (2998ds/779Mi)
% 0.25/0.51 % (26242)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 theBenchmark for (2998ds/19Mi)
% 0.25/0.52 % (26214)Instruction limit reached!
% 0.25/0.52 % (26214)------------------------------
% 0.25/0.52 % (26214)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.52 % (26214)Termination reason: Unknown
% 0.25/0.52 % (26214)Termination phase: Saturation
% 0.25/0.52
% 0.25/0.52 % (26214)Memory used [KB]: 6652
% 0.25/0.52 % (26214)Time elapsed: 0.104 s
% 0.25/0.52 % (26214)Instructions burned: 184 (million)
% 0.25/0.52 % (26214)------------------------------
% 0.25/0.52 % (26214)------------------------------
% 0.25/0.52 % (26242)Instruction limit reached!
% 0.25/0.52 % (26242)------------------------------
% 0.25/0.52 % (26242)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.52 % (26242)Termination reason: Unknown
% 0.25/0.52 % (26242)Termination phase: Property scanning
% 0.25/0.52
% 0.25/0.52 % (26242)Memory used [KB]: 1407
% 0.25/0.52 % (26242)Time elapsed: 0.012 s
% 0.25/0.52 % (26242)Instructions burned: 21 (million)
% 0.25/0.52 % (26242)------------------------------
% 0.25/0.52 % (26242)------------------------------
% 1.15/0.54 % (26243)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 1.15/0.54 % (26244)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 1.15/0.55 % (26244)Instruction limit reached!
% 1.15/0.55 % (26244)------------------------------
% 1.15/0.55 % (26244)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.15/0.55 % (26244)Termination reason: Unknown
% 1.15/0.55 % (26244)Termination phase: Preprocessing 3
% 1.15/0.55
% 1.15/0.55 % (26244)Memory used [KB]: 1279
% 1.15/0.55 % (26244)Time elapsed: 0.011 s
% 1.15/0.55 % (26244)Instructions burned: 17 (million)
% 1.15/0.55 % (26244)------------------------------
% 1.15/0.55 % (26244)------------------------------
% 1.33/0.56 % (26245)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.33/0.56 % (26219)Instruction limit reached!
% 1.33/0.56 % (26219)------------------------------
% 1.33/0.56 % (26219)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.33/0.56 % (26219)Termination reason: Unknown
% 1.33/0.56 % (26219)Termination phase: Saturation
% 1.33/0.56
% 1.33/0.56 % (26219)Memory used [KB]: 6268
% 1.33/0.56 % (26219)Time elapsed: 0.147 s
% 1.33/0.56 % (26219)Instructions burned: 275 (million)
% 1.33/0.56 % (26219)------------------------------
% 1.33/0.56 % (26219)------------------------------
% 1.33/0.56 % (26245)Instruction limit reached!
% 1.33/0.56 % (26245)------------------------------
% 1.33/0.56 % (26245)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.33/0.56 % (26245)Termination reason: Unknown
% 1.33/0.56 % (26245)Termination phase: shuffling
% 1.33/0.56
% 1.33/0.56 % (26245)Memory used [KB]: 1023
% 1.33/0.56 % (26245)Time elapsed: 0.004 s
% 1.33/0.56 % (26245)Instructions burned: 4 (million)
% 1.33/0.56 % (26245)------------------------------
% 1.33/0.56 % (26245)------------------------------
% 1.33/0.58 % (26246)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.33/0.58 % (26247)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 1.33/0.59 % (26246)Instruction limit reached!
% 1.33/0.59 % (26246)------------------------------
% 1.33/0.59 % (26246)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.33/0.59 % (26246)Termination reason: Unknown
% 1.33/0.59 % (26246)Termination phase: Property scanning
% 1.33/0.59
% 1.33/0.59 % (26246)Memory used [KB]: 1279
% 1.33/0.59 % (26246)Time elapsed: 0.017 s
% 1.33/0.59 % (26246)Instructions burned: 30 (million)
% 1.33/0.59 % (26246)------------------------------
% 1.33/0.59 % (26246)------------------------------
% 1.33/0.61 % (26248)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.33/0.64 % (26247)Instruction limit reached!
% 1.33/0.64 % (26247)------------------------------
% 1.33/0.64 % (26247)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.33/0.64 % (26247)Termination reason: Unknown
% 1.33/0.64 % (26247)Termination phase: Saturation
% 1.33/0.64
% 1.33/0.64 % (26247)Memory used [KB]: 6396
% 1.33/0.64 % (26247)Time elapsed: 0.065 s
% 1.33/0.64 % (26247)Instructions burned: 127 (million)
% 1.33/0.64 % (26247)------------------------------
% 1.33/0.64 % (26247)------------------------------
% 1.95/0.65 % (26248)Instruction limit reached!
% 1.95/0.65 % (26248)------------------------------
% 1.95/0.65 % (26248)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.95/0.65 % (26248)Termination reason: Unknown
% 1.95/0.65 % (26248)Termination phase: Saturation
% 1.95/0.65
% 1.95/0.65 % (26248)Memory used [KB]: 6268
% 1.95/0.65 % (26248)Time elapsed: 0.046 s
% 1.95/0.65 % (26248)Instructions burned: 100 (million)
% 1.95/0.65 % (26248)------------------------------
% 1.95/0.65 % (26248)------------------------------
% 1.95/0.66 % (26249)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 theBenchmark for (2997ds/3Mi)
% 1.95/0.66 % (26249)Instruction limit reached!
% 1.95/0.66 % (26249)------------------------------
% 1.95/0.66 % (26249)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.95/0.66 % (26249)Termination reason: Unknown
% 1.95/0.66 % (26249)Termination phase: shuffling
% 1.95/0.66
% 1.95/0.66 % (26249)Memory used [KB]: 1151
% 1.95/0.66 % (26249)Time elapsed: 0.004 s
% 1.95/0.66 % (26249)Instructions burned: 4 (million)
% 1.95/0.66 % (26249)------------------------------
% 1.95/0.66 % (26249)------------------------------
% 1.95/0.67 % (26250)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 theBenchmark for (2997ds/20Mi)
% 1.95/0.67 % (26251)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 theBenchmark for (2997ds/86Mi)
% 1.95/0.68 % (26250)Instruction limit reached!
% 1.95/0.68 % (26250)------------------------------
% 1.95/0.68 % (26250)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.95/0.68 % (26250)Termination reason: Unknown
% 1.95/0.68 % (26250)Termination phase: Property scanning
% 1.95/0.68
% 1.95/0.68 % (26250)Memory used [KB]: 1151
% 1.95/0.68 % (26250)Time elapsed: 0.011 s
% 1.95/0.68 % (26250)Instructions burned: 20 (million)
% 1.95/0.68 % (26250)------------------------------
% 1.95/0.68 % (26250)------------------------------
% 1.95/0.69 % (26252)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 theBenchmark for (2997ds/107Mi)
% 2.27/0.71 % (26240)Instruction limit reached!
% 2.27/0.71 % (26240)------------------------------
% 2.27/0.71 % (26240)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.27/0.71 % (26240)Termination reason: Unknown
% 2.27/0.71 % (26240)Termination phase: Saturation
% 2.27/0.71
% 2.27/0.71 % (26240)Memory used [KB]: 6652
% 2.27/0.71 % (26240)Time elapsed: 0.200 s
% 2.27/0.71 % (26240)Instructions burned: 377 (million)
% 2.27/0.71 % (26240)------------------------------
% 2.27/0.71 % (26240)------------------------------
% 2.27/0.71 % (26251)Instruction limit reached!
% 2.27/0.71 % (26251)------------------------------
% 2.27/0.71 % (26251)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.27/0.71 % (26251)Termination reason: Unknown
% 2.27/0.71 % (26251)Termination phase: Saturation
% 2.27/0.71
% 2.27/0.71 % (26251)Memory used [KB]: 6268
% 2.27/0.71 % (26251)Time elapsed: 0.044 s
% 2.27/0.71 % (26251)Instructions burned: 86 (million)
% 2.27/0.71 % (26251)------------------------------
% 2.27/0.71 % (26251)------------------------------
% 2.27/0.72 % (26253)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 theBenchmark for (2996ds/39Mi)
% 2.27/0.73 % (26254)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 theBenchmark for (2996ds/448Mi)
% 2.27/0.74 % (26253)Instruction limit reached!
% 2.27/0.74 % (26253)------------------------------
% 2.27/0.74 % (26253)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.27/0.74 % (26253)Termination reason: Unknown
% 2.27/0.74 % (26253)Termination phase: Property scanning
% 2.27/0.74
% 2.27/0.74 % (26253)Memory used [KB]: 1407
% 2.27/0.74 % (26253)Time elapsed: 0.019 s
% 2.27/0.74 % (26253)Instructions burned: 40 (million)
% 2.27/0.74 % (26253)------------------------------
% 2.27/0.74 % (26253)------------------------------
% 2.56/0.74 % (26252)Instruction limit reached!
% 2.56/0.74 % (26252)------------------------------
% 2.56/0.74 % (26252)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.56/0.74 % (26252)Termination reason: Unknown
% 2.56/0.74 % (26252)Termination phase: Saturation
% 2.56/0.74
% 2.56/0.74 % (26252)Memory used [KB]: 6268
% 2.56/0.74 % (26252)Time elapsed: 0.055 s
% 2.56/0.74 % (26252)Instructions burned: 107 (million)
% 2.56/0.74 % (26252)------------------------------
% 2.56/0.74 % (26252)------------------------------
% 2.56/0.75 % (26255)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 theBenchmark for (2996ds/46Mi)
% 2.56/0.76 % (26256)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 theBenchmark for (2996ds/98Mi)
% 2.56/0.77 % (26255)Instruction limit reached!
% 2.56/0.77 % (26255)------------------------------
% 2.56/0.77 % (26255)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.56/0.77 % (26255)Termination reason: Unknown
% 2.56/0.77 % (26255)Termination phase: Saturation
% 2.56/0.77
% 2.56/0.77 % (26255)Memory used [KB]: 5884
% 2.56/0.77 % (26255)Time elapsed: 0.024 s
% 2.56/0.77 % (26255)Instructions burned: 47 (million)
% 2.56/0.77 % (26255)------------------------------
% 2.56/0.77 % (26255)------------------------------
% 2.56/0.79 % (26257)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 theBenchmark for (2996ds/507Mi)
% 2.90/0.80 % (26256)Instruction limit reached!
% 2.90/0.80 % (26256)------------------------------
% 2.90/0.80 % (26256)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.90/0.80 % (26256)Termination reason: Unknown
% 2.90/0.80 % (26256)Termination phase: Saturation
% 2.90/0.80
% 2.90/0.80 % (26256)Memory used [KB]: 1791
% 2.90/0.80 % (26256)Time elapsed: 0.049 s
% 2.90/0.80 % (26256)Instructions burned: 99 (million)
% 2.90/0.80 % (26256)------------------------------
% 2.90/0.80 % (26256)------------------------------
% 2.90/0.82 % (26258)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 theBenchmark for (2995ds/149Mi)
% 2.90/0.84 % (26234)Instruction limit reached!
% 2.90/0.84 % (26234)------------------------------
% 2.90/0.84 % (26234)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.90/0.84 % (26234)Termination reason: Unknown
% 2.90/0.84 % (26234)Termination phase: Saturation
% 2.90/0.84
% 2.90/0.84 % (26234)Memory used [KB]: 7419
% 2.90/0.84 % (26234)Time elapsed: 0.389 s
% 2.90/0.84 % (26234)Instructions burned: 711 (million)
% 2.90/0.84 % (26234)------------------------------
% 2.90/0.84 % (26234)------------------------------
% 3.17/0.86 % (26259)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2995ds/39Mi)
% 3.17/0.87 % (26241)Instruction limit reached!
% 3.17/0.87 % (26241)------------------------------
% 3.17/0.87 % (26241)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.17/0.87 % (26241)Termination reason: Unknown
% 3.17/0.87 % (26241)Termination phase: Saturation
% 3.17/0.87
% 3.17/0.87 % (26241)Memory used [KB]: 8187
% 3.17/0.87 % (26241)Time elapsed: 0.362 s
% 3.17/0.87 % (26241)Instructions burned: 780 (million)
% 3.17/0.87 % (26241)------------------------------
% 3.17/0.87 % (26241)------------------------------
% 3.17/0.87 % (26259)Instruction limit reached!
% 3.17/0.87 % (26259)------------------------------
% 3.17/0.87 % (26259)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.17/0.87 % (26259)Termination reason: Unknown
% 3.17/0.87 % (26259)Termination phase: Saturation
% 3.17/0.87
% 3.17/0.87 % (26259)Memory used [KB]: 5756
% 3.17/0.87 % (26259)Time elapsed: 0.019 s
% 3.17/0.87 % (26259)Instructions burned: 39 (million)
% 3.17/0.87 % (26259)------------------------------
% 3.17/0.87 % (26259)------------------------------
% 3.17/0.88 % (26260)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 theBenchmark for (2995ds/6Mi)
% 3.17/0.89 % (26260)Instruction limit reached!
% 3.17/0.89 % (26260)------------------------------
% 3.17/0.89 % (26260)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.17/0.89 % (26260)Termination reason: Unknown
% 3.17/0.89 % (26260)Termination phase: shuffling
% 3.17/0.89
% 3.17/0.89 % (26260)Memory used [KB]: 1151
% 3.17/0.89 % (26260)Time elapsed: 0.005 s
% 3.17/0.89 % (26260)Instructions burned: 7 (million)
% 3.17/0.89 % (26260)------------------------------
% 3.17/0.89 % (26260)------------------------------
% 3.17/0.89 % (26261)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 theBenchmark for (2995ds/1087Mi)
% 3.17/0.90 % (26258)Instruction limit reached!
% 3.17/0.90 % (26258)------------------------------
% 3.17/0.90 % (26258)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.17/0.90 % (26258)Termination reason: Unknown
% 3.17/0.90 % (26258)Termination phase: Saturation
% 3.17/0.90
% 3.17/0.90 % (26258)Memory used [KB]: 6268
% 3.17/0.90 % (26258)Time elapsed: 0.081 s
% 3.17/0.90 % (26258)Instructions burned: 149 (million)
% 3.17/0.90 % (26258)------------------------------
% 3.17/0.90 % (26258)------------------------------
% 3.17/0.90 % (26262)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2995ds/47Mi)
% 3.17/0.91 % (26263)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 theBenchmark for (2995ds/44Mi)
% 3.17/0.92 % (26262)Instruction limit reached!
% 3.17/0.92 % (26262)------------------------------
% 3.17/0.92 % (26262)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.17/0.92 % (26262)Termination reason: Unknown
% 3.17/0.92 % (26262)Termination phase: Saturation
% 3.17/0.92
% 3.17/0.92 % (26262)Memory used [KB]: 5884
% 3.17/0.92 % (26262)Time elapsed: 0.023 s
% 3.17/0.92 % (26262)Instructions burned: 47 (million)
% 3.17/0.92 % (26262)------------------------------
% 3.17/0.92 % (26262)------------------------------
% 3.17/0.93 % (26263)Instruction limit reached!
% 3.17/0.93 % (26263)------------------------------
% 3.17/0.93 % (26263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.17/0.93 % (26263)Termination reason: Unknown
% 3.17/0.93 % (26263)Termination phase: Saturation
% 3.17/0.93
% 3.17/0.93 % (26263)Memory used [KB]: 1407
% 3.17/0.93 % (26263)Time elapsed: 0.022 s
% 3.17/0.93 % (26263)Instructions burned: 45 (million)
% 3.17/0.93 % (26263)------------------------------
% 3.17/0.93 % (26263)------------------------------
% 3.17/0.93 % (26264)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 theBenchmark for (2994ds/432Mi)
% 3.17/0.94 % (26236)Instruction limit reached!
% 3.17/0.94 % (26236)------------------------------
% 3.17/0.94 % (26236)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.17/0.94 % (26236)Termination reason: Unknown
% 3.17/0.94 % (26236)Termination phase: Saturation
% 3.17/0.94
% 3.17/0.94 % (26236)Memory used [KB]: 8059
% 3.17/0.94 % (26236)Time elapsed: 0.482 s
% 3.17/0.94 % (26236)Instructions burned: 902 (million)
% 3.17/0.94 % (26236)------------------------------
% 3.17/0.94 % (26236)------------------------------
% 3.17/0.94 % (26254)Instruction limit reached!
% 3.17/0.94 % (26254)------------------------------
% 3.17/0.94 % (26254)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.17/0.94 % (26254)Termination reason: Unknown
% 3.17/0.94 % (26254)Termination phase: Saturation
% 3.17/0.94
% 3.17/0.94 % (26254)Memory used [KB]: 7036
% 3.17/0.94 % (26254)Time elapsed: 0.214 s
% 3.17/0.94 % (26254)Instructions burned: 450 (million)
% 3.17/0.94 % (26254)------------------------------
% 3.17/0.94 % (26254)------------------------------
% 3.17/0.94 % (26265)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2994ds/62Mi)
% 3.83/0.95 % (26266)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 theBenchmark for (2994ds/31Mi)
% 3.83/0.95 % (26267)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2994ds/96Mi)
% 3.83/0.96 % (26266)Instruction limit reached!
% 3.83/0.96 % (26266)------------------------------
% 3.83/0.96 % (26266)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.83/0.96 % (26266)Termination reason: Unknown
% 3.83/0.96 % (26266)Termination phase: Property scanning
% 3.83/0.96
% 3.83/0.96 % (26266)Memory used [KB]: 1279
% 3.83/0.96 % (26266)Time elapsed: 0.015 s
% 3.83/0.96 % (26266)Instructions burned: 31 (million)
% 3.83/0.96 % (26266)------------------------------
% 3.83/0.96 % (26266)------------------------------
% 3.83/0.97 % (26243)Instruction limit reached!
% 3.83/0.97 % (26243)------------------------------
% 3.83/0.97 % (26243)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.83/0.97 % (26243)Termination reason: Unknown
% 3.83/0.97 % (26243)Termination phase: Saturation
% 3.83/0.97
% 3.83/0.97 % (26243)Memory used [KB]: 7803
% 3.83/0.97 % (26243)Time elapsed: 0.436 s
% 3.83/0.97 % (26243)Instructions burned: 880 (million)
% 3.83/0.97 % (26243)------------------------------
% 3.83/0.97 % (26243)------------------------------
% 3.83/0.97 % (26265)Instruction limit reached!
% 3.83/0.97 % (26265)------------------------------
% 3.83/0.97 % (26265)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.83/0.97 % (26265)Termination reason: Unknown
% 3.83/0.97 % (26265)Termination phase: Saturation
% 3.83/0.97
% 3.83/0.97 % (26265)Memory used [KB]: 6012
% 3.83/0.97 % (26265)Time elapsed: 0.029 s
% 3.83/0.97 % (26265)Instructions burned: 63 (million)
% 3.83/0.97 % (26265)------------------------------
% 3.83/0.97 % (26265)------------------------------
% 3.83/0.98 % (26225)Instruction limit reached!
% 3.83/0.98 % (26225)------------------------------
% 3.83/0.98 % (26225)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.83/0.98 % (26225)Termination reason: Unknown
% 3.83/0.98 % (26225)Termination phase: Saturation
% 3.83/0.98
% 3.83/0.98 % (26225)Memory used [KB]: 9338
% 3.83/0.98 % (26225)Time elapsed: 0.543 s
% 3.83/0.98 % (26225)Instructions burned: 1042 (million)
% 3.83/0.98 % (26225)------------------------------
% 3.83/0.98 % (26225)------------------------------
% 3.83/0.98 % (26268)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 theBenchmark for (2994ds/453Mi)
% 3.83/0.98 % (26269)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2994ds/71Mi)
% 3.83/0.99 % (26270)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2994ds/83Mi)
% 3.83/0.99 % (26271)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2994ds/11Mi)
% 4.38/0.99 % (26271)Instruction limit reached!
% 4.38/0.99 % (26271)------------------------------
% 4.38/0.99 % (26271)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.38/0.99 % (26271)Termination reason: Unknown
% 4.38/0.99 % (26271)Termination phase: shuffling
% 4.38/0.99
% 4.38/0.99 % (26271)Memory used [KB]: 1279
% 4.38/0.99 % (26271)Time elapsed: 0.007 s
% 4.38/0.99 % (26271)Instructions burned: 12 (million)
% 4.38/0.99 % (26271)------------------------------
% 4.38/0.99 % (26271)------------------------------
% 4.38/1.00 % (26267)Instruction limit reached!
% 4.38/1.00 % (26267)------------------------------
% 4.38/1.00 % (26267)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.38/1.00 % (26267)Termination reason: Unknown
% 4.38/1.00 % (26267)Termination phase: Saturation
% 4.38/1.00
% 4.38/1.00 % (26267)Memory used [KB]: 6140
% 4.38/1.00 % (26267)Time elapsed: 0.049 s
% 4.38/1.00 % (26267)Instructions burned: 96 (million)
% 4.38/1.00 % (26267)------------------------------
% 4.38/1.00 % (26267)------------------------------
% 4.38/1.01 % (26272)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 theBenchmark for (2994ds/41Mi)
% 4.38/1.01 % (26273)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2993ds/6Mi)
% 4.38/1.02 % (26269)Instruction limit reached!
% 4.38/1.02 % (26269)------------------------------
% 4.38/1.02 % (26269)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.38/1.02 % (26269)Termination reason: Unknown
% 4.38/1.02 % (26269)Termination phase: Saturation
% 4.38/1.02
% 4.38/1.02 % (26269)Memory used [KB]: 6140
% 4.38/1.02 % (26269)Time elapsed: 0.035 s
% 4.38/1.02 % (26269)Instructions burned: 72 (million)
% 4.38/1.02 % (26269)------------------------------
% 4.38/1.02 % (26269)------------------------------
% 4.38/1.02 % (26273)Instruction limit reached!
% 4.38/1.02 % (26273)------------------------------
% 4.38/1.02 % (26273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.38/1.02 % (26273)Termination reason: Unknown
% 4.38/1.02 % (26273)Termination phase: Property scanning
% 4.38/1.02
% 4.38/1.02 % (26273)Memory used [KB]: 1151
% 4.38/1.02 % (26273)Time elapsed: 0.005 s
% 4.38/1.02 % (26273)Instructions burned: 6 (million)
% 4.38/1.02 % (26273)------------------------------
% 4.38/1.02 % (26273)------------------------------
% 4.38/1.03 % (26272)Instruction limit reached!
% 4.38/1.03 % (26272)------------------------------
% 4.38/1.03 % (26272)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.38/1.03 % (26272)Termination reason: Unknown
% 4.38/1.03 % (26272)Termination phase: Property scanning
% 4.38/1.03
% 4.38/1.03 % (26272)Memory used [KB]: 1407
% 4.38/1.03 % (26272)Time elapsed: 0.019 s
% 4.38/1.03 % (26272)Instructions burned: 42 (million)
% 4.38/1.03 % (26272)------------------------------
% 4.38/1.03 % (26272)------------------------------
% 4.38/1.03 % (26270)Instruction limit reached!
% 4.38/1.03 % (26270)------------------------------
% 4.38/1.03 % (26270)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.38/1.03 % (26270)Termination reason: Unknown
% 4.38/1.03 % (26270)Termination phase: Saturation
% 4.38/1.03
% 4.38/1.03 % (26270)Memory used [KB]: 5884
% 4.38/1.03 % (26270)Time elapsed: 0.064 s
% 4.38/1.03 % (26270)Instructions burned: 83 (million)
% 4.38/1.03 % (26270)------------------------------
% 4.38/1.03 % (26270)------------------------------
% 4.38/1.03 % (26274)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2993ds/150Mi)
% 4.38/1.03 % (26275)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2993ds/343Mi)
% 4.60/1.04 % (26276)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 theBenchmark for (2993ds/109Mi)
% 4.60/1.04 % (26277)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 theBenchmark for (2993ds/253Mi)
% 4.60/1.04 % (26257)Instruction limit reached!
% 4.60/1.04 % (26257)------------------------------
% 4.60/1.04 % (26257)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.60/1.04 % (26257)Termination reason: Unknown
% 4.60/1.04 % (26257)Termination phase: Saturation
% 4.60/1.04
% 4.60/1.04 % (26257)Memory used [KB]: 7036
% 4.60/1.04 % (26257)Time elapsed: 0.257 s
% 4.60/1.04 % (26257)Instructions burned: 507 (million)
% 4.60/1.04 % (26257)------------------------------
% 4.60/1.04 % (26257)------------------------------
% 4.60/1.06 % (26278)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2993ds/140Mi)
% 5.37/1.09 % (26276)Instruction limit reached!
% 5.37/1.09 % (26276)------------------------------
% 5.37/1.09 % (26276)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.37/1.09 % (26276)Termination reason: Unknown
% 5.37/1.09 % (26276)Termination phase: Saturation
% 5.37/1.09
% 5.37/1.09 % (26276)Memory used [KB]: 6268
% 5.37/1.09 % (26276)Time elapsed: 0.053 s
% 5.37/1.09 % (26276)Instructions burned: 109 (million)
% 5.37/1.09 % (26276)------------------------------
% 5.37/1.09 % (26276)------------------------------
% 5.37/1.10 % (26274)Instruction limit reached!
% 5.37/1.10 % (26274)------------------------------
% 5.37/1.10 % (26274)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.37/1.10 % (26274)Termination reason: Unknown
% 5.37/1.10 % (26274)Termination phase: Saturation
% 5.37/1.10
% 5.37/1.10 % (26274)Memory used [KB]: 6268
% 5.37/1.10 % (26274)Time elapsed: 0.076 s
% 5.37/1.10 % (26274)Instructions burned: 151 (million)
% 5.37/1.10 % (26274)------------------------------
% 5.37/1.10 % (26274)------------------------------
% 5.37/1.10 % (26279)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 theBenchmark for (2993ds/614Mi)
% 5.37/1.12 % (26280)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 theBenchmark for (2992ds/202Mi)
% 5.76/1.12 % (26278)Instruction limit reached!
% 5.76/1.12 % (26278)------------------------------
% 5.76/1.12 % (26278)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.76/1.12 % (26278)Termination reason: Unknown
% 5.76/1.12 % (26278)Termination phase: Saturation
% 5.76/1.12
% 5.76/1.12 % (26278)Memory used [KB]: 6396
% 5.76/1.12 % (26278)Time elapsed: 0.071 s
% 5.76/1.12 % (26278)Instructions burned: 141 (million)
% 5.76/1.12 % (26278)------------------------------
% 5.76/1.12 % (26278)------------------------------
% 5.76/1.14 % (26281)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 theBenchmark for (2992ds/339Mi)
% 5.76/1.15 % (26264)Instruction limit reached!
% 5.76/1.15 % (26264)------------------------------
% 5.76/1.15 % (26264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.76/1.15 % (26264)Termination reason: Unknown
% 5.76/1.15 % (26264)Termination phase: Saturation
% 5.76/1.15
% 5.76/1.15 % (26264)Memory used [KB]: 2942
% 5.76/1.15 % (26264)Time elapsed: 0.215 s
% 5.76/1.15 % (26264)Instructions burned: 432 (million)
% 5.76/1.15 % (26264)------------------------------
% 5.76/1.15 % (26264)------------------------------
% 5.76/1.16 % (26277)Instruction limit reached!
% 5.76/1.16 % (26277)------------------------------
% 5.76/1.16 % (26277)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.76/1.16 % (26277)Termination reason: Unknown
% 5.76/1.16 % (26277)Termination phase: Saturation
% 5.76/1.16
% 5.76/1.16 % (26277)Memory used [KB]: 6652
% 5.76/1.16 % (26277)Time elapsed: 0.123 s
% 5.76/1.16 % (26277)Instructions burned: 253 (million)
% 5.76/1.16 % (26277)------------------------------
% 5.76/1.16 % (26277)------------------------------
% 5.76/1.16 % (26282)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 theBenchmark for (2992ds/283Mi)
% 6.09/1.17 % (26283)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2992ds/134Mi)
% 6.09/1.19 % (26268)Instruction limit reached!
% 6.09/1.19 % (26268)------------------------------
% 6.09/1.19 % (26268)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.09/1.19 % (26268)Termination reason: Unknown
% 6.09/1.19 % (26268)Termination phase: Saturation
% 6.09/1.19
% 6.09/1.19 % (26268)Memory used [KB]: 6524
% 6.09/1.19 % (26268)Time elapsed: 0.210 s
% 6.09/1.19 % (26268)Instructions burned: 453 (million)
% 6.09/1.19 % (26268)------------------------------
% 6.09/1.19 % (26268)------------------------------
% 6.09/1.19 % (26275)Instruction limit reached!
% 6.09/1.19 % (26275)------------------------------
% 6.09/1.19 % (26275)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.09/1.19 % (26275)Termination reason: Unknown
% 6.09/1.19 % (26275)Termination phase: Saturation
% 6.09/1.19
% 6.09/1.19 % (26275)Memory used [KB]: 6524
% 6.09/1.19 % (26275)Time elapsed: 0.164 s
% 6.09/1.19 % (26275)Instructions burned: 343 (million)
% 6.09/1.19 % (26275)------------------------------
% 6.09/1.19 % (26275)------------------------------
% 6.09/1.20 % (26284)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2992ds/298Mi)
% 6.09/1.21 % (26285)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2992ds/192Mi)
% 6.09/1.21 % (26280)Instruction limit reached!
% 6.09/1.21 % (26280)------------------------------
% 6.09/1.21 % (26280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.09/1.21 % (26280)Termination reason: Unknown
% 6.09/1.21 % (26280)Termination phase: Saturation
% 6.09/1.21
% 6.09/1.21 % (26280)Memory used [KB]: 6396
% 6.09/1.21 % (26280)Time elapsed: 0.098 s
% 6.09/1.21 % (26280)Instructions burned: 202 (million)
% 6.09/1.21 % (26280)------------------------------
% 6.09/1.21 % (26280)------------------------------
% 6.09/1.23 % (26286)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 theBenchmark for (2991ds/258Mi)
% 6.09/1.24 % (26283)Instruction limit reached!
% 6.09/1.24 % (26283)------------------------------
% 6.09/1.24 % (26283)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.09/1.24 % (26283)Termination reason: Unknown
% 6.09/1.24 % (26283)Termination phase: Saturation
% 6.09/1.24
% 6.09/1.24 % (26283)Memory used [KB]: 6268
% 6.09/1.24 % (26283)Time elapsed: 0.070 s
% 6.09/1.24 % (26283)Instructions burned: 135 (million)
% 6.09/1.24 % (26283)------------------------------
% 6.09/1.24 % (26283)------------------------------
% 6.40/1.26 % (26287)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 theBenchmark for (2991ds/90Mi)
% 6.42/1.30 % (26282)Instruction limit reached!
% 6.42/1.30 % (26282)------------------------------
% 6.42/1.30 % (26282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.42/1.30 % (26282)Termination reason: Unknown
% 6.42/1.30 % (26282)Termination phase: Saturation
% 6.42/1.30
% 6.42/1.30 % (26282)Memory used [KB]: 6780
% 6.42/1.30 % (26282)Time elapsed: 0.136 s
% 6.42/1.30 % (26282)Instructions burned: 284 (million)
% 6.42/1.30 % (26282)------------------------------
% 6.42/1.30 % (26282)------------------------------
% 6.42/1.30 % (26285)Instruction limit reached!
% 6.42/1.30 % (26285)------------------------------
% 6.42/1.30 % (26285)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.42/1.30 % (26285)Termination reason: Unknown
% 6.42/1.30 % (26285)Termination phase: Saturation
% 6.42/1.30
% 6.42/1.30 % (26285)Memory used [KB]: 6652
% 6.42/1.30 % (26285)Time elapsed: 0.094 s
% 6.42/1.30 % (26285)Instructions burned: 193 (million)
% 6.42/1.30 % (26285)------------------------------
% 6.42/1.30 % (26285)------------------------------
% 6.42/1.30 % (26281)Instruction limit reached!
% 6.42/1.30 % (26281)------------------------------
% 6.42/1.30 % (26281)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.42/1.30 % (26281)Termination reason: Unknown
% 6.42/1.30 % (26281)Termination phase: Saturation
% 6.42/1.30
% 6.42/1.30 % (26281)Memory used [KB]: 6652
% 6.42/1.30 % (26281)Time elapsed: 0.163 s
% 6.42/1.30 % (26281)Instructions burned: 340 (million)
% 6.42/1.30 % (26281)------------------------------
% 6.42/1.30 % (26281)------------------------------
% 6.42/1.30 % (26287)Instruction limit reached!
% 6.42/1.30 % (26287)------------------------------
% 6.42/1.30 % (26287)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.42/1.30 % (26287)Termination reason: Unknown
% 6.42/1.30 % (26287)Termination phase: Saturation
% 6.42/1.30
% 6.42/1.30 % (26287)Memory used [KB]: 6268
% 6.42/1.30 % (26287)Time elapsed: 0.047 s
% 6.42/1.30 % (26287)Instructions burned: 91 (million)
% 6.42/1.30 % (26287)------------------------------
% 6.42/1.30 % (26287)------------------------------
% 6.42/1.31 % (26288)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 theBenchmark for (2991ds/231Mi)
% 6.42/1.31 % (26289)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 theBenchmark for (2991ds/458Mi)
% 6.42/1.31 % (26290)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 theBenchmark for (2991ds/31Mi)
% 6.42/1.31 % (26291)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 theBenchmark for (2991ds/297Mi)
% 6.95/1.33 % (26290)Instruction limit reached!
% 6.95/1.33 % (26290)------------------------------
% 6.95/1.33 % (26290)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.95/1.33 % (26290)Termination reason: Unknown
% 6.95/1.33 % (26290)Termination phase: Property scanning
% 6.95/1.33
% 6.95/1.33 % (26290)Memory used [KB]: 1279
% 6.95/1.33 % (26290)Time elapsed: 0.015 s
% 6.95/1.33 % (26290)Instructions burned: 31 (million)
% 6.95/1.33 % (26290)------------------------------
% 6.95/1.33 % (26290)------------------------------
% 6.95/1.34 % (26292)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 theBenchmark for (2990ds/987Mi)
% 7.00/1.34 % (26284)Instruction limit reached!
% 7.00/1.34 % (26284)------------------------------
% 7.00/1.34 % (26284)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.00/1.34 % (26284)Termination reason: Unknown
% 7.00/1.34 % (26284)Termination phase: Saturation
% 7.00/1.34
% 7.00/1.34 % (26284)Memory used [KB]: 6780
% 7.00/1.34 % (26284)Time elapsed: 0.144 s
% 7.00/1.34 % (26284)Instructions burned: 299 (million)
% 7.00/1.34 % (26284)------------------------------
% 7.00/1.34 % (26284)------------------------------
% 7.00/1.36 % (26286)Instruction limit reached!
% 7.00/1.36 % (26286)------------------------------
% 7.00/1.36 % (26286)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.00/1.36 % (26286)Termination reason: Unknown
% 7.00/1.36 % (26286)Termination phase: Saturation
% 7.00/1.36
% 7.00/1.36 % (26286)Memory used [KB]: 6780
% 7.00/1.36 % (26286)Time elapsed: 0.130 s
% 7.00/1.36 % (26286)Instructions burned: 259 (million)
% 7.00/1.36 % (26286)------------------------------
% 7.00/1.36 % (26286)------------------------------
% 7.00/1.36 % (26293)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 theBenchmark for (2990ds/182Mi)
% 7.00/1.37 % (26294)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 theBenchmark for (2990ds/182Mi)
% 7.00/1.40 % (26279)Instruction limit reached!
% 7.00/1.40 % (26279)------------------------------
% 7.00/1.40 % (26279)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.00/1.40 % (26279)Termination reason: Unknown
% 7.00/1.40 % (26279)Termination phase: Saturation
% 7.00/1.40
% 7.00/1.40 % (26279)Memory used [KB]: 7547
% 7.00/1.40 % (26279)Time elapsed: 0.294 s
% 7.00/1.40 % (26279)Instructions burned: 615 (million)
% 7.00/1.40 % (26279)------------------------------
% 7.00/1.40 % (26279)------------------------------
% 7.00/1.41 % (26261)Instruction limit reached!
% 7.00/1.41 % (26261)------------------------------
% 7.00/1.41 % (26261)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.00/1.41 % (26261)Termination reason: Unknown
% 7.00/1.41 % (26261)Termination phase: Saturation
% 7.00/1.41
% 7.00/1.41 % (26261)Memory used [KB]: 7675
% 7.00/1.41 % (26261)Time elapsed: 0.534 s
% 7.00/1.41 % (26261)Instructions burned: 1087 (million)
% 7.00/1.41 % (26261)------------------------------
% 7.00/1.41 % (26261)------------------------------
% 7.00/1.41 % (26295)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 theBenchmark for (2990ds/154Mi)
% 7.68/1.42 % (26296)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 theBenchmark for (2989ds/79Mi)
% 7.68/1.43 % (26288)Instruction limit reached!
% 7.68/1.43 % (26288)------------------------------
% 7.68/1.43 % (26288)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.68/1.43 % (26288)Termination reason: Unknown
% 7.68/1.43 % (26288)Termination phase: Saturation
% 7.68/1.43
% 7.68/1.43 % (26288)Memory used [KB]: 6780
% 7.68/1.43 % (26288)Time elapsed: 0.120 s
% 7.68/1.43 % (26288)Instructions burned: 231 (million)
% 7.68/1.43 % (26288)------------------------------
% 7.68/1.43 % (26288)------------------------------
% 7.68/1.44 % (26297)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 theBenchmark for (2989ds/216Mi)
% 7.68/1.45 % (26293)Instruction limit reached!
% 7.68/1.45 % (26293)------------------------------
% 7.68/1.45 % (26293)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.68/1.45 % (26293)Termination reason: Unknown
% 7.68/1.45 % (26293)Termination phase: Saturation
% 7.68/1.45
% 7.68/1.45 % (26293)Memory used [KB]: 6268
% 7.68/1.45 % (26293)Time elapsed: 0.092 s
% 7.68/1.45 % (26293)Instructions burned: 183 (million)
% 7.68/1.45 % (26293)------------------------------
% 7.68/1.45 % (26293)------------------------------
% 7.68/1.45 % (26295)Refutation not found, incomplete strategy
% 7.68/1.45 % (26295)------------------------------
% 7.68/1.45 % (26295)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.68/1.45 % (26295)Termination reason: Refutation not found, incomplete strategy
% 7.68/1.45
% 7.68/1.45
% 7.68/1.45 % (26295)Memory used [KB]: 6268
% 7.68/1.45 % (26295)Time elapsed: 0.044 s
% 7.68/1.45 % (26295)Instructions burned: 93 (million)
% 7.68/1.45 % (26295)------------------------------
% 7.68/1.45 % (26295)------------------------------
% 7.68/1.46 % (26294)Instruction limit reached!
% 7.68/1.46 % (26294)------------------------------
% 7.68/1.46 % (26294)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.68/1.46 % (26294)Termination reason: Unknown
% 7.68/1.46 % (26294)Termination phase: Saturation
% 7.68/1.46
% 7.68/1.46 % (26294)Memory used [KB]: 6396
% 7.68/1.46 % (26294)Time elapsed: 0.089 s
% 7.68/1.46 % (26294)Instructions burned: 184 (million)
% 7.68/1.46 % (26294)------------------------------
% 7.68/1.46 % (26294)------------------------------
% 7.68/1.46 % (26298)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2989ds/114Mi)
% 7.68/1.46 % (26296)Instruction limit reached!
% 7.68/1.46 % (26296)------------------------------
% 7.68/1.46 % (26296)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.68/1.46 % (26296)Termination reason: Unknown
% 7.68/1.46 % (26296)Termination phase: Saturation
% 7.68/1.46
% 7.68/1.46 % (26296)Memory used [KB]: 6140
% 7.68/1.46 % (26296)Time elapsed: 0.040 s
% 7.68/1.46 % (26296)Instructions burned: 79 (million)
% 7.68/1.46 % (26296)------------------------------
% 7.68/1.46 % (26296)------------------------------
% 7.68/1.46 % (26291)Instruction limit reached!
% 7.68/1.46 % (26291)------------------------------
% 7.68/1.46 % (26291)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.68/1.46 % (26291)Termination reason: Unknown
% 7.68/1.46 % (26291)Termination phase: Saturation
% 7.68/1.46
% 7.68/1.46 % (26291)Memory used [KB]: 6524
% 7.68/1.46 % (26291)Time elapsed: 0.149 s
% 7.68/1.46 % (26291)Instructions burned: 297 (million)
% 7.68/1.46 % (26291)------------------------------
% 7.68/1.46 % (26291)------------------------------
% 7.68/1.47 % (26299)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2989ds/922Mi)
% 7.68/1.47 % (26300)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 theBenchmark for (2989ds/182Mi)
% 8.29/1.48 % (26301)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 theBenchmark for (2989ds/164Mi)
% 8.29/1.48 % (26302)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 theBenchmark for (2989ds/50Mi)
% 8.29/1.50 % (26302)Instruction limit reached!
% 8.29/1.50 % (26302)------------------------------
% 8.29/1.50 % (26302)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.29/1.50 % (26302)Termination reason: Unknown
% 8.29/1.50 % (26302)Termination phase: Saturation
% 8.29/1.50
% 8.29/1.50 % (26301)Refutation not found, incomplete strategy
% 8.29/1.50 % (26301)------------------------------
% 8.29/1.50 % (26301)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.29/1.50 % (26302)Memory used [KB]: 10362
% 8.29/1.50 % (26302)Time elapsed: 0.023 s
% 8.29/1.50 % (26302)Instructions burned: 50 (million)
% 8.29/1.50 % (26302)------------------------------
% 8.29/1.50 % (26302)------------------------------
% 8.29/1.50 % (26301)Termination reason: Refutation not found, incomplete strategy
% 8.29/1.50
% 8.29/1.50
% 8.29/1.50 % (26301)Memory used [KB]: 1535
% 8.29/1.50 % (26301)Time elapsed: 0.023 s
% 8.29/1.50 % (26301)Instructions burned: 47 (million)
% 8.29/1.50 % (26301)------------------------------
% 8.29/1.50 % (26301)------------------------------
% 8.29/1.51 % (26303)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2989ds/368Mi)
% 8.29/1.51 % (26304)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 theBenchmark for (2989ds/1021Mi)
% 8.29/1.52 % (26298)Instruction limit reached!
% 8.29/1.52 % (26298)------------------------------
% 8.29/1.52 % (26298)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.29/1.52 % (26298)Termination reason: Unknown
% 8.29/1.52 % (26298)Termination phase: Saturation
% 8.29/1.52
% 8.29/1.52 % (26298)Memory used [KB]: 6396
% 8.29/1.52 % (26298)Time elapsed: 0.057 s
% 8.29/1.52 % (26298)Instructions burned: 114 (million)
% 8.29/1.52 % (26298)------------------------------
% 8.29/1.52 % (26298)------------------------------
% 8.29/1.53 % (26305)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 theBenchmark for (2988ds/267Mi)
% 8.29/1.54 % (26289)Instruction limit reached!
% 8.29/1.54 % (26289)------------------------------
% 8.29/1.54 % (26289)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.29/1.54 % (26289)Termination reason: Unknown
% 8.29/1.54 % (26289)Termination phase: Saturation
% 8.29/1.54
% 8.29/1.54 % (26289)Memory used [KB]: 6908
% 8.29/1.54 % (26289)Time elapsed: 0.226 s
% 8.29/1.54 % (26289)Instructions burned: 458 (million)
% 8.29/1.54 % (26289)------------------------------
% 8.29/1.54 % (26289)------------------------------
% 8.29/1.54 % (26297)Instruction limit reached!
% 8.29/1.54 % (26297)------------------------------
% 8.29/1.54 % (26297)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.29/1.54 % (26297)Termination reason: Unknown
% 8.29/1.54 % (26297)Termination phase: Saturation
% 8.29/1.54
% 8.29/1.54 % (26297)Memory used [KB]: 6396
% 8.29/1.54 % (26297)Time elapsed: 0.105 s
% 8.29/1.54 % (26297)Instructions burned: 216 (million)
% 8.29/1.54 % (26297)------------------------------
% 8.29/1.54 % (26297)------------------------------
% 8.29/1.55 % (26300)Instruction limit reached!
% 8.29/1.55 % (26300)------------------------------
% 8.29/1.55 % (26300)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.29/1.55 % (26300)Termination reason: Unknown
% 8.29/1.55 % (26300)Termination phase: Saturation
% 8.29/1.55
% 8.29/1.55 % (26300)Memory used [KB]: 6396
% 8.29/1.55 % (26300)Time elapsed: 0.078 s
% 8.29/1.55 % (26300)Instructions burned: 182 (million)
% 8.29/1.55 % (26300)------------------------------
% 8.29/1.55 % (26300)------------------------------
% 8.88/1.55 % (26306)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 theBenchmark for (2988ds/204Mi)
% 8.88/1.56 % (26307)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 theBenchmark for (2988ds/26Mi)
% 8.88/1.56 % (26308)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 theBenchmark for (2988ds/53Mi)
% 8.88/1.57 % (26307)Instruction limit reached!
% 8.88/1.57 % (26307)------------------------------
% 8.88/1.57 % (26307)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.88/1.57 % (26307)Termination reason: Unknown
% 8.88/1.57 % (26307)Termination phase: Property scanning
% 8.88/1.57
% 8.88/1.57 % (26307)Memory used [KB]: 1407
% 8.88/1.57 % (26307)Time elapsed: 0.013 s
% 8.88/1.57 % (26307)Instructions burned: 26 (million)
% 8.88/1.57 % (26307)------------------------------
% 8.88/1.57 % (26307)------------------------------
% 8.90/1.58 % (26308)Instruction limit reached!
% 8.90/1.58 % (26308)------------------------------
% 8.90/1.58 % (26308)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.90/1.58 % (26308)Termination reason: Unknown
% 8.90/1.58 % (26308)Termination phase: Saturation
% 8.90/1.58
% 8.90/1.58 % (26308)Memory used [KB]: 5884
% 8.90/1.58 % (26308)Time elapsed: 0.024 s
% 8.90/1.58 % (26308)Instructions burned: 53 (million)
% 8.90/1.58 % (26308)------------------------------
% 8.90/1.58 % (26308)------------------------------
% 8.90/1.58 % (26309)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 theBenchmark for (2988ds/4436Mi)
% 8.90/1.60 % (26310)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2988ds/1539Mi)
% 9.95/1.65 % (26306)Instruction limit reached!
% 9.95/1.65 % (26306)------------------------------
% 9.95/1.65 % (26306)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.95/1.65 % (26306)Termination reason: Unknown
% 9.95/1.65 % (26306)Termination phase: Saturation
% 9.95/1.65
% 9.95/1.65 % (26306)Memory used [KB]: 6140
% 9.95/1.65 % (26306)Time elapsed: 0.126 s
% 9.95/1.65 % (26306)Instructions burned: 205 (million)
% 9.95/1.65 % (26306)------------------------------
% 9.95/1.65 % (26306)------------------------------
% 10.16/1.66 % (26305)Instruction limit reached!
% 10.16/1.66 % (26305)------------------------------
% 10.16/1.66 % (26305)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.16/1.66 % (26305)Termination reason: Unknown
% 10.16/1.66 % (26305)Termination phase: Saturation
% 10.16/1.66
% 10.16/1.66 % (26305)Memory used [KB]: 6908
% 10.16/1.66 % (26305)Time elapsed: 0.157 s
% 10.16/1.66 % (26305)Instructions burned: 267 (million)
% 10.16/1.66 % (26305)------------------------------
% 10.16/1.66 % (26305)------------------------------
% 10.16/1.67 % (26311)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 theBenchmark for (2987ds/408Mi)
% 10.16/1.68 % (26312)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 theBenchmark for (2987ds/5205Mi)
% 10.16/1.69 % (26303)Instruction limit reached!
% 10.16/1.69 % (26303)------------------------------
% 10.16/1.69 % (26303)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.16/1.69 % (26303)Termination reason: Unknown
% 10.16/1.69 % (26303)Termination phase: Saturation
% 10.16/1.69
% 10.16/1.69 % (26303)Memory used [KB]: 7036
% 10.16/1.69 % (26303)Time elapsed: 0.206 s
% 10.16/1.69 % (26303)Instructions burned: 368 (million)
% 10.16/1.69 % (26303)------------------------------
% 10.16/1.69 % (26303)------------------------------
% 10.16/1.71 % (26313)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on theBenchmark for (2986ds/1913Mi)
% 10.77/1.83 % (26292)Instruction limit reached!
% 10.77/1.83 % (26292)------------------------------
% 10.77/1.83 % (26292)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.77/1.83 % (26292)Termination reason: Unknown
% 10.77/1.83 % (26292)Termination phase: Saturation
% 10.77/1.83
% 10.77/1.83 % (26292)Memory used [KB]: 7675
% 10.77/1.83 % (26292)Time elapsed: 0.486 s
% 10.77/1.83 % (26292)Instructions burned: 987 (million)
% 10.77/1.83 % (26292)------------------------------
% 10.77/1.83 % (26292)------------------------------
% 11.07/1.84 % (26314)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on theBenchmark for (2985ds/4350Mi)
% 11.15/1.86 % (26311)Instruction limit reached!
% 11.15/1.86 % (26311)------------------------------
% 11.15/1.86 % (26311)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.15/1.86 % (26311)Termination reason: Unknown
% 11.15/1.86 % (26311)Termination phase: Saturation
% 11.15/1.86
% 11.15/1.86 % (26311)Memory used [KB]: 7164
% 11.15/1.86 % (26311)Time elapsed: 0.197 s
% 11.15/1.86 % (26311)Instructions burned: 408 (million)
% 11.15/1.86 % (26311)------------------------------
% 11.15/1.86 % (26311)------------------------------
% 11.15/1.87 % (26315)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=68:si=on:rtra=on_0 on theBenchmark for (2985ds/68Mi)
% 11.15/1.89 % (26299)Instruction limit reached!
% 11.15/1.89 % (26299)------------------------------
% 11.15/1.89 % (26299)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.15/1.90 % (26299)Termination reason: Unknown
% 11.15/1.90 % (26299)Termination phase: Saturation
% 11.15/1.90
% 11.15/1.90 % (26299)Memory used [KB]: 7291
% 11.15/1.90 % (26299)Time elapsed: 0.429 s
% 11.15/1.90 % (26299)Instructions burned: 923 (million)
% 11.15/1.90 % (26299)------------------------------
% 11.15/1.90 % (26299)------------------------------
% 11.15/1.91 % (26315)Instruction limit reached!
% 11.15/1.91 % (26315)------------------------------
% 11.15/1.91 % (26315)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.15/1.91 % (26315)Termination reason: Unknown
% 11.15/1.91 % (26315)Termination phase: Saturation
% 11.15/1.91
% 11.15/1.91 % (26315)Memory used [KB]: 6012
% 11.15/1.91 % (26315)Time elapsed: 0.034 s
% 11.15/1.91 % (26315)Instructions burned: 68 (million)
% 11.15/1.91 % (26315)------------------------------
% 11.15/1.91 % (26315)------------------------------
% 11.15/1.91 % (26316)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on theBenchmark for (2984ds/358Mi)
% 11.65/1.92 % (26317)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 theBenchmark for (2984ds/31Mi)
% 11.65/1.93 % (26317)Instruction limit reached!
% 11.65/1.93 % (26317)------------------------------
% 11.65/1.93 % (26317)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.65/1.93 % (26317)Termination reason: Unknown
% 11.65/1.93 % (26317)Termination phase: Property scanning
% 11.65/1.93
% 11.65/1.93 % (26317)Memory used [KB]: 1279
% 11.65/1.93 % (26317)Time elapsed: 0.016 s
% 11.65/1.93 % (26317)Instructions burned: 31 (million)
% 11.65/1.93 % (26317)------------------------------
% 11.65/1.93 % (26317)------------------------------
% 11.65/1.95 % (26318)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2984ds/279Mi)
% 11.80/1.98 % (26318)Refutation not found, incomplete strategy
% 11.80/1.98 % (26318)------------------------------
% 11.80/1.98 % (26318)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.80/1.98 % (26318)Termination reason: Refutation not found, incomplete strategy
% 11.80/1.98
% 11.80/1.98
% 11.80/1.98 % (26318)Memory used [KB]: 6012
% 11.80/1.98 % (26318)Time elapsed: 0.033 s
% 11.80/1.98 % (26318)Instructions burned: 69 (million)
% 11.80/1.98 % (26318)------------------------------
% 11.80/1.98 % (26318)------------------------------
% 11.80/1.99 % (26319)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2984ds/258Mi)
% 11.80/2.02 % (26304)Instruction limit reached!
% 11.80/2.02 % (26304)------------------------------
% 11.80/2.02 % (26304)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.80/2.03 % (26304)Termination reason: Unknown
% 11.80/2.03 % (26304)Termination phase: Saturation
% 11.80/2.03
% 11.80/2.03 % (26304)Memory used [KB]: 8443
% 11.80/2.03 % (26304)Time elapsed: 0.523 s
% 11.80/2.03 % (26304)Instructions burned: 1021 (million)
% 11.80/2.03 % (26304)------------------------------
% 11.80/2.03 % (26304)------------------------------
% 12.08/2.04 % (26320)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 theBenchmark for (2983ds/26Mi)
% 12.08/2.05 % (26320)Instruction limit reached!
% 12.08/2.05 % (26320)------------------------------
% 12.08/2.05 % (26320)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.08/2.05 % (26320)Termination reason: Unknown
% 12.08/2.05 % (26320)Termination phase: Preprocessing 3
% 12.08/2.05
% 12.08/2.05 % (26320)Memory used [KB]: 1407
% 12.08/2.05 % (26320)Time elapsed: 0.014 s
% 12.08/2.05 % (26320)Instructions burned: 28 (million)
% 12.08/2.05 % (26320)------------------------------
% 12.08/2.05 % (26320)------------------------------
% 12.08/2.07 % (26321)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on theBenchmark for (2983ds/995Mi)
% 12.08/2.07 % (26316)Instruction limit reached!
% 12.08/2.07 % (26316)------------------------------
% 12.08/2.07 % (26316)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.08/2.07 % (26316)Termination reason: Unknown
% 12.08/2.07 % (26316)Termination phase: Saturation
% 12.08/2.07
% 12.08/2.07 % (26316)Memory used [KB]: 6268
% 12.08/2.07 % (26316)Time elapsed: 0.167 s
% 12.08/2.07 % (26316)Instructions burned: 360 (million)
% 12.08/2.07 % (26316)------------------------------
% 12.08/2.07 % (26316)------------------------------
% 12.17/2.09 % (26322)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on theBenchmark for (2983ds/373Mi)
% 12.17/2.12 % (26319)Instruction limit reached!
% 12.17/2.12 % (26319)------------------------------
% 12.17/2.12 % (26319)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.17/2.12 % (26319)Termination reason: Unknown
% 12.17/2.12 % (26319)Termination phase: Saturation
% 12.17/2.12
% 12.17/2.12 % (26319)Memory used [KB]: 6780
% 12.17/2.12 % (26319)Time elapsed: 0.129 s
% 12.17/2.12 % (26319)Instructions burned: 258 (million)
% 12.17/2.12 % (26319)------------------------------
% 12.17/2.12 % (26319)------------------------------
% 12.61/2.14 % (26323)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on theBenchmark for (2982ds/253Mi)
% 14.71/2.25 % (26323)Instruction limit reached!
% 14.71/2.25 % (26323)------------------------------
% 14.71/2.25 % (26323)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.71/2.25 % (26323)Termination reason: Unknown
% 14.71/2.25 % (26323)Termination phase: Saturation
% 14.71/2.25
% 14.71/2.25 % (26323)Memory used [KB]: 6524
% 14.71/2.25 % (26323)Time elapsed: 0.115 s
% 14.71/2.25 % (26323)Instructions burned: 255 (million)
% 14.71/2.25 % (26323)------------------------------
% 14.71/2.25 % (26323)------------------------------
% 14.71/2.26 % (26324)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on theBenchmark for (2981ds/832Mi)
% 14.71/2.27 % (26322)Instruction limit reached!
% 14.71/2.27 % (26322)------------------------------
% 14.71/2.27 % (26322)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.71/2.27 % (26322)Termination reason: Unknown
% 14.71/2.27 % (26322)Termination phase: Saturation
% 14.71/2.27
% 14.71/2.27 % (26322)Memory used [KB]: 6268
% 14.71/2.27 % (26322)Time elapsed: 0.184 s
% 14.71/2.27 % (26322)Instructions burned: 373 (million)
% 14.71/2.27 % (26322)------------------------------
% 14.71/2.27 % (26322)------------------------------
% 15.02/2.28 % (26325)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on theBenchmark for (2981ds/668Mi)
% 15.02/2.33 % (26310)Instruction limit reached!
% 15.02/2.33 % (26310)------------------------------
% 15.02/2.33 % (26310)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.02/2.33 % (26310)Termination reason: Unknown
% 15.02/2.33 % (26310)Termination phase: Saturation
% 15.02/2.33
% 15.02/2.33 % (26310)Memory used [KB]: 8059
% 15.02/2.33 % (26310)Time elapsed: 0.740 s
% 15.02/2.33 % (26310)Instructions burned: 1539 (million)
% 15.02/2.33 % (26310)------------------------------
% 15.02/2.33 % (26310)------------------------------
% 15.40/2.35 % (26326)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=40:si=on:rtra=on_0 on theBenchmark for (2980ds/40Mi)
% 15.51/2.37 % (26326)Instruction limit reached!
% 15.51/2.37 % (26326)------------------------------
% 15.51/2.37 % (26326)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.51/2.37 % (26326)Termination reason: Unknown
% 15.51/2.37 % (26326)Termination phase: Property scanning
% 15.51/2.37
% 15.51/2.37 % (26326)Memory used [KB]: 1407
% 15.51/2.37 % (26326)Time elapsed: 0.019 s
% 15.51/2.37 % (26326)Instructions burned: 41 (million)
% 15.51/2.37 % (26326)------------------------------
% 15.51/2.37 % (26326)------------------------------
% 15.51/2.38 % (26327)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on theBenchmark for (2980ds/294Mi)
% 16.03/2.51 % (26327)Instruction limit reached!
% 16.03/2.51 % (26327)------------------------------
% 16.03/2.51 % (26327)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.03/2.51 % (26327)Termination reason: Unknown
% 16.03/2.51 % (26327)Termination phase: Saturation
% 16.03/2.51
% 16.03/2.51 % (26327)Memory used [KB]: 6268
% 16.03/2.51 % (26327)Time elapsed: 0.131 s
% 16.03/2.51 % (26327)Instructions burned: 295 (million)
% 16.03/2.51 % (26327)------------------------------
% 16.03/2.51 % (26327)------------------------------
% 16.03/2.52 % (26328)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on theBenchmark for (2978ds/187Mi)
% 16.57/2.56 % (26321)Instruction limit reached!
% 16.57/2.56 % (26321)------------------------------
% 16.57/2.56 % (26321)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.57/2.56 % (26321)Termination reason: Unknown
% 16.57/2.56 % (26321)Termination phase: Saturation
% 16.57/2.56
% 16.57/2.56 % (26321)Memory used [KB]: 7419
% 16.57/2.56 % (26321)Time elapsed: 0.509 s
% 16.57/2.56 % (26321)Instructions burned: 995 (million)
% 16.57/2.56 % (26321)------------------------------
% 16.57/2.56 % (26321)------------------------------
% 16.77/2.58 % (26329)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on theBenchmark for (2978ds/371Mi)
% 16.77/2.60 % (26325)Instruction limit reached!
% 16.77/2.60 % (26325)------------------------------
% 16.77/2.60 % (26325)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.77/2.60 % (26325)Termination reason: Unknown
% 16.77/2.60 % (26325)Termination phase: Saturation
% 16.77/2.60
% 16.77/2.60 % (26325)Memory used [KB]: 13304
% 16.77/2.60 % (26325)Time elapsed: 0.316 s
% 16.77/2.60 % (26325)Instructions burned: 669 (million)
% 16.77/2.60 % (26325)------------------------------
% 16.77/2.60 % (26325)------------------------------
% 16.77/2.61 % (26330)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on theBenchmark for (2978ds/1827Mi)
% 16.77/2.62 % (26313)Instruction limit reached!
% 16.77/2.62 % (26313)------------------------------
% 16.77/2.62 % (26313)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.77/2.62 % (26313)Termination reason: Unknown
% 16.77/2.62 % (26313)Termination phase: Saturation
% 16.77/2.62
% 16.77/2.62 % (26313)Memory used [KB]: 3198
% 16.77/2.62 % (26313)Time elapsed: 0.914 s
% 16.77/2.62 % (26313)Instructions burned: 1914 (million)
% 16.77/2.62 % (26313)------------------------------
% 16.77/2.62 % (26313)------------------------------
% 16.77/2.62 % (26328)Instruction limit reached!
% 16.77/2.62 % (26328)------------------------------
% 16.77/2.62 % (26328)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.77/2.62 % (26328)Termination reason: Unknown
% 16.77/2.62 % (26328)Termination phase: Saturation
% 16.77/2.62
% 16.77/2.62 % (26328)Memory used [KB]: 6268
% 16.77/2.62 % (26328)Time elapsed: 0.099 s
% 16.77/2.62 % (26328)Instructions burned: 188 (million)
% 16.77/2.62 % (26328)------------------------------
% 16.77/2.62 % (26328)------------------------------
% 16.77/2.63 % (26331)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on theBenchmark for (2977ds/70Mi)
% 16.77/2.63 % (26332)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on theBenchmark for (2977ds/316Mi)
% 17.51/2.66 % (26332)Refutation not found, incomplete strategy
% 17.51/2.66 % (26332)------------------------------
% 17.51/2.66 % (26332)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.51/2.66 % (26332)Termination reason: Refutation not found, incomplete strategy
% 17.51/2.66
% 17.51/2.66
% 17.51/2.66 % (26332)Memory used [KB]: 6012
% 17.51/2.66 % (26332)Time elapsed: 0.030 s
% 17.51/2.66 % (26332)Instructions burned: 64 (million)
% 17.51/2.66 % (26332)------------------------------
% 17.51/2.66 % (26332)------------------------------
% 17.51/2.67 % (26331)Instruction limit reached!
% 17.51/2.67 % (26331)------------------------------
% 17.51/2.67 % (26331)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.51/2.67 % (26331)Termination reason: Unknown
% 17.51/2.67 % (26331)Termination phase: Saturation
% 17.51/2.67
% 17.51/2.67 % (26331)Memory used [KB]: 1535
% 17.51/2.67 % (26331)Time elapsed: 0.034 s
% 17.51/2.67 % (26331)Instructions burned: 70 (million)
% 17.51/2.67 % (26331)------------------------------
% 17.51/2.67 % (26331)------------------------------
% 17.51/2.67 % (26324)Instruction limit reached!
% 17.51/2.67 % (26324)------------------------------
% 17.51/2.67 % (26324)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.51/2.67 % (26324)Termination reason: Unknown
% 17.51/2.67 % (26324)Termination phase: Saturation
% 17.51/2.67
% 17.51/2.67 % (26324)Memory used [KB]: 7291
% 17.51/2.67 % (26324)Time elapsed: 0.412 s
% 17.51/2.67 % (26324)Instructions burned: 833 (million)
% 17.51/2.67 % (26324)------------------------------
% 17.51/2.67 % (26324)------------------------------
% 17.51/2.68 % (26333)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on theBenchmark for (2977ds/932Mi)
% 17.51/2.68 % (26334)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on theBenchmark for (2977ds/4714Mi)
% 17.51/2.69 % (26335)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on theBenchmark for (2977ds/8250Mi)
% 17.51/2.71 % (26334)Refutation not found, incomplete strategy
% 17.51/2.71 % (26334)------------------------------
% 17.51/2.71 % (26334)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.51/2.71 % (26334)Termination reason: Refutation not found, incomplete strategy
% 17.51/2.71
% 17.51/2.71
% 17.51/2.71 % (26334)Memory used [KB]: 6012
% 17.51/2.71 % (26334)Time elapsed: 0.036 s
% 17.51/2.71 % (26334)Instructions burned: 78 (million)
% 17.51/2.71 % (26334)------------------------------
% 17.51/2.71 % (26334)------------------------------
% 17.51/2.73 % (26336)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on theBenchmark for (2976ds/770Mi)
% 18.68/2.75 % (26336)Refutation not found, incomplete strategy
% 18.68/2.75 % (26336)------------------------------
% 18.68/2.75 % (26336)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.68/2.75 % (26336)Termination reason: Refutation not found, incomplete strategy
% 18.68/2.75
% 18.68/2.75
% 18.68/2.75 % (26336)Memory used [KB]: 5884
% 18.68/2.75 % (26336)Time elapsed: 0.024 s
% 18.68/2.75 % (26336)Instructions burned: 44 (million)
% 18.68/2.75 % (26336)------------------------------
% 18.68/2.75 % (26336)------------------------------
% 18.68/2.77 % (26337)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on theBenchmark for (2976ds/794Mi)
% 18.99/2.77 % (26329)Instruction limit reached!
% 18.99/2.77 % (26329)------------------------------
% 18.99/2.77 % (26329)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.99/2.77 % (26329)Termination reason: Unknown
% 18.99/2.77 % (26329)Termination phase: Saturation
% 18.99/2.77
% 18.99/2.77 % (26329)Memory used [KB]: 6908
% 18.99/2.77 % (26329)Time elapsed: 0.206 s
% 18.99/2.77 % (26329)Instructions burned: 371 (million)
% 18.99/2.77 % (26329)------------------------------
% 18.99/2.77 % (26329)------------------------------
% 18.99/2.79 % (26338)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on theBenchmark for (2976ds/464Mi)
% 20.46/3.02 % (26338)Instruction limit reached!
% 20.46/3.02 % (26338)------------------------------
% 20.46/3.02 % (26338)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.46/3.02 % (26338)Termination reason: Unknown
% 20.46/3.02 % (26338)Termination phase: Saturation
% 20.46/3.02
% 20.46/3.02 % (26338)Memory used [KB]: 6652
% 20.46/3.02 % (26338)Time elapsed: 0.258 s
% 20.46/3.02 % (26338)Instructions burned: 465 (million)
% 20.46/3.02 % (26338)------------------------------
% 20.46/3.02 % (26338)------------------------------
% 20.46/3.04 % (26339)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on theBenchmark for (2973ds/1376Mi)
% 21.03/3.09 % (26333)Instruction limit reached!
% 21.03/3.09 % (26333)------------------------------
% 21.03/3.09 % (26333)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.03/3.09 % (26333)Termination reason: Unknown
% 21.03/3.09 % (26333)Termination phase: Saturation
% 21.03/3.09
% 21.03/3.09 % (26333)Memory used [KB]: 8571
% 21.03/3.09 % (26333)Time elapsed: 0.414 s
% 21.03/3.09 % (26333)Instructions burned: 932 (million)
% 21.03/3.09 % (26333)------------------------------
% 21.03/3.09 % (26333)------------------------------
% 21.03/3.10 % (26340)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on theBenchmark for (2973ds/906Mi)
% 21.47/3.16 % (26337)Instruction limit reached!
% 21.47/3.16 % (26337)------------------------------
% 21.47/3.16 % (26337)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.47/3.16 % (26337)Termination reason: Unknown
% 21.47/3.16 % (26337)Termination phase: Saturation
% 21.47/3.16
% 21.47/3.16 % (26337)Memory used [KB]: 3709
% 21.47/3.16 % (26337)Time elapsed: 0.393 s
% 21.47/3.16 % (26337)Instructions burned: 794 (million)
% 21.47/3.16 % (26337)------------------------------
% 21.47/3.16 % (26337)------------------------------
% 21.47/3.17 % (26341)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on theBenchmark for (2972ds/434Mi)
% 23.44/3.38 % (26341)Instruction limit reached!
% 23.44/3.38 % (26341)------------------------------
% 23.44/3.38 % (26341)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.44/3.38 % (26341)Termination reason: Unknown
% 23.44/3.38 % (26341)Termination phase: Saturation
% 23.44/3.38
% 23.44/3.38 % (26341)Memory used [KB]: 6268
% 23.44/3.38 % (26341)Time elapsed: 0.235 s
% 23.44/3.38 % (26341)Instructions burned: 435 (million)
% 23.44/3.38 % (26341)------------------------------
% 23.44/3.38 % (26341)------------------------------
% 23.86/3.40 % (26342)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on theBenchmark for (2970ds/865Mi)
% 24.39/3.47 % (26330)Instruction limit reached!
% 24.39/3.47 % (26330)------------------------------
% 24.39/3.47 % (26330)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.39/3.47 % (26330)Termination reason: Unknown
% 24.39/3.47 % (26330)Termination phase: Saturation
% 24.39/3.47
% 24.39/3.47 % (26330)Memory used [KB]: 9083
% 24.39/3.47 % (26330)Time elapsed: 0.863 s
% 24.39/3.47 % (26330)Instructions burned: 1827 (million)
% 24.39/3.47 % (26330)------------------------------
% 24.39/3.47 % (26330)------------------------------
% 24.39/3.49 % (26343)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on theBenchmark for (2969ds/593Mi)
% 24.90/3.57 % (26340)Instruction limit reached!
% 24.90/3.57 % (26340)------------------------------
% 24.90/3.57 % (26340)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.90/3.57 % (26340)Termination reason: Unknown
% 24.90/3.57 % (26340)Termination phase: Saturation
% 24.90/3.57
% 24.90/3.57 % (26340)Memory used [KB]: 10106
% 24.90/3.57 % (26340)Time elapsed: 0.491 s
% 24.90/3.57 % (26340)Instructions burned: 907 (million)
% 24.90/3.57 % (26340)------------------------------
% 24.90/3.57 % (26340)------------------------------
% 24.90/3.59 % (26344)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on theBenchmark for (2968ds/443Mi)
% 25.67/3.69 % (26309)Instruction limit reached!
% 25.67/3.69 % (26309)------------------------------
% 25.67/3.69 % (26309)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.67/3.69 % (26309)Termination reason: Unknown
% 25.67/3.69 % (26309)Termination phase: Saturation
% 25.67/3.69
% 25.67/3.69 % (26309)Memory used [KB]: 11897
% 25.67/3.69 % (26309)Time elapsed: 2.105 s
% 25.67/3.69 % (26309)Instructions burned: 4437 (million)
% 25.67/3.69 % (26309)------------------------------
% 25.67/3.69 % (26309)------------------------------
% 25.67/3.70 % (26345)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on theBenchmark for (2967ds/594Mi)
% 25.94/3.76 % (26339)Instruction limit reached!
% 25.94/3.76 % (26339)------------------------------
% 25.94/3.76 % (26339)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.94/3.76 % (26339)Termination reason: Unknown
% 25.94/3.76 % (26339)Termination phase: Saturation
% 25.94/3.76
% 25.94/3.76 % (26339)Memory used [KB]: 11257
% 25.94/3.76 % (26339)Time elapsed: 0.731 s
% 25.94/3.76 % (26339)Instructions burned: 1376 (million)
% 25.94/3.76 % (26339)------------------------------
% 25.94/3.76 % (26339)------------------------------
% 25.99/3.76 % (26343)Instruction limit reached!
% 25.99/3.76 % (26343)------------------------------
% 25.99/3.76 % (26343)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.99/3.76 % (26343)Termination reason: Unknown
% 25.99/3.76 % (26343)Termination phase: Saturation
% 25.99/3.76
% 25.99/3.76 % (26343)Memory used [KB]: 8315
% 25.99/3.76 % (26343)Time elapsed: 0.298 s
% 25.99/3.76 % (26343)Instructions burned: 593 (million)
% 25.99/3.76 % (26343)------------------------------
% 25.99/3.76 % (26343)------------------------------
% 25.99/3.77 % (26346)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on theBenchmark for (2966ds/327Mi)
% 25.99/3.78 % (26347)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on theBenchmark for (2966ds/5411Mi)
% 25.99/3.79 % (26342)Instruction limit reached!
% 25.99/3.79 % (26342)------------------------------
% 25.99/3.79 % (26342)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.99/3.79 % (26342)Termination reason: Unknown
% 25.99/3.79 % (26342)Termination phase: Saturation
% 25.99/3.79
% 25.99/3.79 % (26342)Memory used [KB]: 9338
% 25.99/3.79 % (26342)Time elapsed: 0.418 s
% 25.99/3.79 % (26342)Instructions burned: 865 (million)
% 25.99/3.79 % (26342)------------------------------
% 25.99/3.79 % (26342)------------------------------
% 25.99/3.81 % (26348)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on theBenchmark for (2966ds/1762Mi)
% 25.99/3.81 % (26344)Instruction limit reached!
% 25.99/3.81 % (26344)------------------------------
% 25.99/3.81 % (26344)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.99/3.81 % (26344)Termination reason: Unknown
% 25.99/3.81 % (26344)Termination phase: Saturation
% 25.99/3.81
% 25.99/3.81 % (26344)Memory used [KB]: 6908
% 25.99/3.81 % (26344)Time elapsed: 0.224 s
% 25.99/3.81 % (26344)Instructions burned: 444 (million)
% 25.99/3.81 % (26344)------------------------------
% 25.99/3.81 % (26344)------------------------------
% 25.99/3.82 % (26349)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on theBenchmark for (2965ds/96Mi)
% 27.63/3.87 % (26349)Instruction limit reached!
% 27.63/3.87 % (26349)------------------------------
% 27.63/3.87 % (26349)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.63/3.87 % (26349)Termination reason: Unknown
% 27.63/3.87 % (26349)Termination phase: Saturation
% 27.63/3.87
% 27.63/3.87 % (26349)Memory used [KB]: 6012
% 27.63/3.87 % (26349)Time elapsed: 0.049 s
% 27.63/3.87 % (26349)Instructions burned: 97 (million)
% 27.63/3.87 % (26349)------------------------------
% 27.63/3.87 % (26349)------------------------------
% 27.63/3.88 % (26350)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on theBenchmark for (2965ds/503Mi)
% 27.63/3.95 % (26346)Instruction limit reached!
% 27.63/3.95 % (26346)------------------------------
% 27.63/3.95 % (26346)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.63/3.95 % (26346)Termination reason: Unknown
% 27.63/3.95 % (26346)Termination phase: Saturation
% 27.63/3.95
% 27.63/3.95 % (26346)Memory used [KB]: 6524
% 27.63/3.95 % (26346)Time elapsed: 0.164 s
% 27.63/3.95 % (26346)Instructions burned: 327 (million)
% 27.63/3.95 % (26346)------------------------------
% 27.63/3.95 % (26346)------------------------------
% 28.32/3.96 % (26314)Instruction limit reached!
% 28.32/3.96 % (26314)------------------------------
% 28.32/3.96 % (26314)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.32/3.96 % (26314)Termination reason: Unknown
% 28.32/3.96 % (26314)Termination phase: Saturation
% 28.32/3.96
% 28.32/3.96 % (26314)Memory used [KB]: 9722
% 28.32/3.96 % (26314)Time elapsed: 2.122 s
% 28.32/3.96 % (26314)Instructions burned: 4350 (million)
% 28.32/3.96 % (26314)------------------------------
% 28.32/3.96 % (26314)------------------------------
% 28.32/3.96 % (26351)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 theBenchmark for (2964ds/90Mi)
% 28.32/3.97 % (26352)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on theBenchmark for (2964ds/593Mi)
% 28.32/3.97 % (26345)Instruction limit reached!
% 28.32/3.97 % (26345)------------------------------
% 28.32/3.97 % (26345)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.32/3.97 % (26345)Termination reason: Unknown
% 28.32/3.97 % (26345)Termination phase: Saturation
% 28.32/3.97
% 28.32/3.97 % (26345)Memory used [KB]: 6524
% 28.32/3.97 % (26345)Time elapsed: 0.276 s
% 28.32/3.97 % (26345)Instructions burned: 595 (million)
% 28.32/3.97 % (26345)------------------------------
% 28.32/3.97 % (26345)------------------------------
% 28.51/3.99 % (26353)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on theBenchmark for (2964ds/1512Mi)
% 28.51/4.01 % (26351)Instruction limit reached!
% 28.51/4.01 % (26351)------------------------------
% 28.51/4.01 % (26351)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.51/4.01 % (26351)Termination reason: Unknown
% 28.51/4.01 % (26351)Termination phase: Saturation
% 28.51/4.01
% 28.51/4.01 % (26351)Memory used [KB]: 6396
% 28.51/4.01 % (26351)Time elapsed: 0.045 s
% 28.51/4.01 % (26351)Instructions burned: 91 (million)
% 28.51/4.01 % (26351)------------------------------
% 28.51/4.01 % (26351)------------------------------
% 28.51/4.02 % (26354)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on theBenchmark for (2963ds/569Mi)
% 28.78/4.10 % (26312)Instruction limit reached!
% 28.78/4.10 % (26312)------------------------------
% 28.78/4.10 % (26312)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.78/4.10 % (26312)Termination reason: Unknown
% 28.78/4.10 % (26312)Termination phase: Saturation
% 28.78/4.10
% 28.78/4.10 % (26312)Memory used [KB]: 14072
% 28.78/4.10 % (26312)Time elapsed: 2.421 s
% 28.78/4.10 % (26312)Instructions burned: 5205 (million)
% 28.78/4.10 % (26312)------------------------------
% 28.78/4.10 % (26312)------------------------------
% 29.05/4.11 % (26355)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on theBenchmark for (2963ds/501Mi)
% 29.05/4.13 % (26350)Instruction limit reached!
% 29.05/4.13 % (26350)------------------------------
% 29.05/4.13 % (26350)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 29.05/4.13 % (26350)Termination reason: Unknown
% 29.05/4.13 % (26350)Termination phase: Saturation
% 29.05/4.13
% 29.05/4.13 % (26350)Memory used [KB]: 6524
% 29.05/4.13 % (26350)Time elapsed: 0.250 s
% 29.05/4.13 % (26350)Instructions burned: 504 (million)
% 29.05/4.13 % (26350)------------------------------
% 29.05/4.13 % (26350)------------------------------
% 29.05/4.15 % (26356)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on theBenchmark for (2962ds/562Mi)
% 29.74/4.27 % (26352)Instruction limit reached!
% 29.74/4.27 % (26352)------------------------------
% 29.74/4.27 % (26352)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 29.74/4.27 % (26352)Termination reason: Unknown
% 29.74/4.27 % (26352)Termination phase: Saturation
% 29.74/4.27
% 29.74/4.27 % (26352)Memory used [KB]: 6652
% 29.74/4.27 % (26352)Time elapsed: 0.303 s
% 29.74/4.27 % (26352)Instructions burned: 593 (million)
% 29.74/4.27 % (26352)------------------------------
% 29.74/4.27 % (26352)------------------------------
% 30.17/4.29 % (26357)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on theBenchmark for (2961ds/406Mi)
% 30.17/4.31 % (26354)Instruction limit reached!
% 30.17/4.31 % (26354)------------------------------
% 30.17/4.31 % (26354)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.17/4.31 % (26354)Termination reason: Unknown
% 30.17/4.31 % (26354)Termination phase: Saturation
% 30.17/4.31
% 30.17/4.31 % (26354)Memory used [KB]: 7419
% 30.17/4.31 % (26354)Time elapsed: 0.289 s
% 30.17/4.31 % (26354)Instructions burned: 569 (million)
% 30.17/4.31 % (26354)------------------------------
% 30.17/4.31 % (26354)------------------------------
% 30.17/4.32 % (26358)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on theBenchmark for (2960ds/582Mi)
% 30.59/4.35 % (26355)Instruction limit reached!
% 30.59/4.35 % (26355)------------------------------
% 30.59/4.35 % (26355)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.59/4.35 % (26355)Termination reason: Unknown
% 30.59/4.35 % (26355)Termination phase: Saturation
% 30.59/4.35
% 30.59/4.35 % (26355)Memory used [KB]: 6908
% 30.59/4.35 % (26355)Time elapsed: 0.243 s
% 30.59/4.35 % (26355)Instructions burned: 502 (million)
% 30.59/4.35 % (26355)------------------------------
% 30.59/4.35 % (26355)------------------------------
% 30.59/4.37 % (26359)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on theBenchmark for (2960ds/456Mi)
% 31.61/4.40 % (26356)Instruction limit reached!
% 31.61/4.40 % (26356)------------------------------
% 31.61/4.40 % (26356)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 31.61/4.40 % (26356)Termination reason: Unknown
% 31.61/4.40 % (26356)Termination phase: Saturation
% 31.61/4.40
% 31.61/4.40 % (26356)Memory used [KB]: 8187
% 31.61/4.40 % (26356)Time elapsed: 0.260 s
% 31.61/4.40 % (26356)Instructions burned: 562 (million)
% 31.61/4.40 % (26356)------------------------------
% 31.61/4.40 % (26356)------------------------------
% 31.61/4.42 % (26360)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on theBenchmark for (2960ds/393Mi)
% 32.44/4.50 % (26357)Instruction limit reached!
% 32.44/4.50 % (26357)------------------------------
% 32.44/4.50 % (26357)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 32.44/4.50 % (26357)Termination reason: Unknown
% 32.44/4.50 % (26357)Termination phase: Saturation
% 32.44/4.50
% 32.44/4.50 % (26357)Memory used [KB]: 6780
% 32.44/4.50 % (26357)Time elapsed: 0.216 s
% 32.44/4.50 % (26357)Instructions burned: 407 (million)
% 32.44/4.50 % (26357)------------------------------
% 32.44/4.50 % (26357)------------------------------
% 32.44/4.52 % (26361)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on theBenchmark for (2959ds/1335Mi)
% 32.84/4.59 % (26359)Instruction limit reached!
% 32.84/4.59 % (26359)------------------------------
% 32.84/4.59 % (26359)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 32.84/4.59 % (26359)Termination reason: Unknown
% 32.84/4.59 % (26359)Termination phase: Saturation
% 32.84/4.59
% 32.84/4.59 % (26359)Memory used [KB]: 6908
% 32.84/4.59 % (26359)Time elapsed: 0.229 s
% 32.84/4.59 % (26359)Instructions burned: 456 (million)
% 32.84/4.59 % (26359)------------------------------
% 32.84/4.59 % (26359)------------------------------
% 32.84/4.60 % (26360)Instruction limit reached!
% 32.84/4.60 % (26360)------------------------------
% 32.84/4.60 % (26360)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 32.84/4.60 % (26360)Termination reason: Unknown
% 32.84/4.60 % (26360)Termination phase: Saturation
% 32.84/4.60
% 32.84/4.60 % (26360)Memory used [KB]: 7164
% 32.84/4.60 % (26360)Time elapsed: 0.185 s
% 32.84/4.60 % (26360)Instructions burned: 394 (million)
% 32.84/4.60 % (26360)------------------------------
% 32.84/4.60 % (26360)------------------------------
% 33.50/4.61 % (26362)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on theBenchmark for (2958ds/3373Mi)
% 33.50/4.62 % (26363)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on theBenchmark for (2958ds/474Mi)
% 33.50/4.63 % (26358)Instruction limit reached!
% 33.50/4.63 % (26358)------------------------------
% 33.50/4.63 % (26358)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 33.50/4.63 % (26358)Termination reason: Unknown
% 33.50/4.63 % (26358)Termination phase: Saturation
% 33.50/4.63
% 33.50/4.63 % (26358)Memory used [KB]: 6396
% 33.50/4.63 % (26358)Time elapsed: 0.320 s
% 33.50/4.63 % (26358)Instructions burned: 582 (million)
% 33.50/4.63 % (26358)------------------------------
% 33.50/4.63 % (26358)------------------------------
% 33.50/4.64 % (26364)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on theBenchmark for (2957ds/157Mi)
% 33.66/4.69 % (26348)Instruction limit reached!
% 33.66/4.69 % (26348)------------------------------
% 33.66/4.69 % (26348)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 33.66/4.69 % (26348)Termination reason: Unknown
% 33.66/4.69 % (26348)Termination phase: Saturation
% 33.66/4.69
% 33.66/4.69 % (26348)Memory used [KB]: 7291
% 33.66/4.69 % (26348)Time elapsed: 0.882 s
% 33.66/4.69 % (26348)Instructions burned: 1762 (million)
% 33.66/4.69 % (26348)------------------------------
% 33.66/4.69 % (26348)------------------------------
% 33.66/4.70 % (26365)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on theBenchmark for (2957ds/590Mi)
% 33.66/4.72 % (26364)Instruction limit reached!
% 33.66/4.72 % (26364)------------------------------
% 33.66/4.72 % (26364)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 33.66/4.72 % (26364)Termination reason: Unknown
% 33.66/4.72 % (26364)Termination phase: Saturation
% 33.66/4.72
% 33.66/4.72 % (26364)Memory used [KB]: 6396
% 33.66/4.72 % (26364)Time elapsed: 0.103 s
% 33.66/4.72 % (26364)Instructions burned: 158 (million)
% 33.66/4.72 % (26364)------------------------------
% 33.66/4.72 % (26364)------------------------------
% 33.66/4.73 % (26353)Instruction limit reached!
% 33.66/4.73 % (26353)------------------------------
% 33.66/4.73 % (26353)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 33.66/4.73 % (26353)Termination reason: Unknown
% 33.66/4.73 % (26353)Termination phase: Saturation
% 33.66/4.73
% 33.66/4.73 % (26353)Memory used [KB]: 9466
% 33.66/4.73 % (26353)Time elapsed: 0.742 s
% 33.66/4.73 % (26353)Instructions burned: 1512 (million)
% 33.66/4.73 % (26353)------------------------------
% 33.66/4.73 % (26353)------------------------------
% 34.10/4.73 % (26366)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on theBenchmark for (2956ds/104Mi)
% 34.10/4.74 % (26367)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on theBenchmark for (2956ds/414Mi)
% 34.10/4.78 % (26366)Instruction limit reached!
% 34.10/4.78 % (26366)------------------------------
% 34.10/4.78 % (26366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 34.10/4.78 % (26366)Termination reason: Unknown
% 34.10/4.78 % (26366)Termination phase: Saturation
% 34.10/4.78
% 34.10/4.78 % (26366)Memory used [KB]: 6524
% 34.10/4.78 % (26366)Time elapsed: 0.050 s
% 34.10/4.78 % (26366)Instructions burned: 104 (million)
% 34.10/4.78 % (26366)------------------------------
% 34.10/4.78 % (26366)------------------------------
% 34.27/4.80 % (26368)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on theBenchmark for (2956ds/715Mi)
% 34.39/4.85 % (26363)Instruction limit reached!
% 34.39/4.85 % (26363)------------------------------
% 34.39/4.85 % (26363)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 34.39/4.85 % (26363)Termination reason: Unknown
% 34.39/4.85 % (26363)Termination phase: Saturation
% 34.39/4.85
% 34.39/4.85 % (26363)Memory used [KB]: 7164
% 34.39/4.85 % (26363)Time elapsed: 0.261 s
% 34.39/4.85 % (26363)Instructions burned: 475 (million)
% 34.39/4.85 % (26363)------------------------------
% 34.39/4.85 % (26363)------------------------------
% 34.66/4.87 % (26369)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on theBenchmark for (2955ds/961Mi)
% 34.66/4.93 % (26365)First to succeed.
% 36.10/4.94 % (26367)Instruction limit reached!
% 36.10/4.94 % (26367)------------------------------
% 36.10/4.94 % (26367)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.10/4.94 % (26367)Termination reason: Unknown
% 36.10/4.94 % (26367)Termination phase: Saturation
% 36.10/4.94
% 36.10/4.94 % (26367)Memory used [KB]: 6268
% 36.10/4.94 % (26367)Time elapsed: 0.199 s
% 36.10/4.94 % (26367)Instructions burned: 415 (million)
% 36.10/4.94 % (26367)------------------------------
% 36.10/4.94 % (26367)------------------------------
% 36.10/4.95 % (26365)Refutation found. Thanks to Tanya!
% 36.10/4.95 % SZS status Theorem for theBenchmark
% 36.10/4.95 % SZS output start Proof for theBenchmark
% See solution above
% 36.10/4.95 % (26365)------------------------------
% 36.10/4.95 % (26365)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.10/4.95 % (26365)Termination reason: Refutation
% 36.10/4.95
% 36.10/4.95 % (26365)Memory used [KB]: 7036
% 36.10/4.95 % (26365)Time elapsed: 0.269 s
% 36.10/4.95 % (26365)Instructions burned: 484 (million)
% 36.10/4.95 % (26365)------------------------------
% 36.10/4.95 % (26365)------------------------------
% 36.10/4.95 % (26213)Success in time 4.554 s
% 36.10/4.95 % Vampire---4.8 exiting
%------------------------------------------------------------------------------