%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ITP009^3 : TPTP v9.2.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:53:17 AM UTC 2026
% Result : Theorem 33.88s 6.08s
% Output : Refutation 33.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 29
% Syntax : Number of formulae : 170 ( 13 unt; 0 typ; 20 def)
% Number of atoms : 1421 ( 390 equ; 0 cnn)
% Maximal formula atoms : 20 ( 8 avg)
% Number of connectives : 3180 ( 326 ~; 323 |; 69 &;2401 @)
% ( 28 <=>; 32 =>; 0 <=; 1 <~>)
% Maximal formula depth : 25 ( 7 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 468 ( 468 >; 0 *; 0 +; 0 <<)
% Number of symbols : 51 ( 48 usr; 23 con; 0-8 aty)
% Number of variables : 490 ( 0 ^; 428 !; 62 ?; 490 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_6,type,
sK0: $tType ).
thf(type_def_7,type,
sK1: $tType ).
thf(type_def_8,type,
sK2: $tType ).
thf(type_def_9,type,
sK3: $tType ).
thf(func_def_0,type,
tyop_2Emin_2Ebool: $tType ).
thf(func_def_1,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
thf(func_def_2,type,
c_2Ebool_2E_21:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
c_2Equotient_2E_2D_2D_3E:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( X0 > X2 ) > ( X1 > X3 ) > ( X2 > X1 ) > X0 > X3 ) ).
thf(func_def_4,type,
c_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_5,type,
c_2Emin_2E_3D:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_6,type,
c_2Equotient_2E_3D_3D_3D_3E:
!>[X0: $tType,X1: $tType] : ( ( X0 > X0 > $o ) > ( X1 > X1 > $o ) > ( X0 > X1 ) > ( X0 > X1 ) > $o ) ).
thf(func_def_7,type,
c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_8,type,
c_2Ebool_2E_3F:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_10,type,
c_2Equotient_2EQUOTIENT:
!>[X0: $tType,X1: $tType] : ( ( X0 > X0 > $o ) > ( X0 > X1 ) > ( X1 > X0 ) > $o ) ).
thf(func_def_12,type,
c_2Ecombin_2EW:
!>[X0: $tType,X1: $tType] : ( ( X0 > X0 > X1 ) > X0 > X1 ) ).
thf(func_def_13,type,
c_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_14,type,
c_2Equotient_2Erespects:
!>[X0: $tType,X1: $tType] : ( ( X0 > X0 > X1 ) > X0 > X1 ) ).
thf(func_def_15,type,
c_2Ebool_2E_7E: $o > $o ).
thf(func_def_20,type,
sK4: sK0 > sK0 > $o ).
thf(func_def_21,type,
sK5: sK0 > sK2 ).
thf(func_def_22,type,
sK6: sK2 > sK0 ).
thf(func_def_23,type,
sK7: sK1 > sK1 > $o ).
thf(func_def_24,type,
sK8: sK1 > sK3 ).
thf(func_def_25,type,
sK9: sK3 > sK1 ).
thf(func_def_26,type,
sK10: sK0 > sK1 ).
thf(func_def_27,type,
sK11: sK0 > sK1 ).
thf(func_def_29,type,
ph13:
!>[X0: $tType] : X0 ).
thf(func_def_30,type,
sK14: sK2 ).
thf(func_def_31,type,
sK15: ( sK0 > sK1 ) > sK2 ).
thf(func_def_32,type,
sK16: ( sK0 > sK1 ) > sK2 ).
thf(func_def_33,type,
sK17:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( X1 > X3 ) > ( X2 > X1 ) > ( X2 > X1 ) > ( X0 > X2 ) > X0 ) ).
thf(func_def_34,type,
sK18: ( sK0 > sK1 ) > sK2 ).
thf(func_def_35,type,
sK19: ( sK0 > sK1 ) > sK2 ).
thf(f1393,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f122,f127,f132,f133,f138,f146,f151,f519,f588,f595,f604,f611,f763,f767,f786,f794,f810,f849,f851,f888,f898,f907,f915,f951,f1336,f1347,f1392]) ).
thf(f1392,plain,
( spl12_27
| spl12_28
| ~ spl12_12
| ~ spl12_14
| ~ spl12_19
| ~ spl12_34 ),
inference(avatar_split_clause,[status(thm)],[f1391,f1334,f335,f308,f184,f761,f758]) ).
thf(f758,definition,
( spl12_27
<=> ! [X1: sK0 > sK2] :
( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6 ) ) ),
introduced(definition,[new_symbols(naming,[spl12_27])],[avatar_definition]) ).
thf(f761,definition,
( spl12_28
<=> ! [X0: sK3 > sK1] :
( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0 ) ) ),
introduced(definition,[new_symbols(naming,[spl12_28])],[avatar_definition]) ).
thf(f184,definition,
( spl12_12
<=> ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK10 ) ) ),
introduced(definition,[new_symbols(naming,[spl12_12])],[avatar_definition]) ).
thf(f308,definition,
( spl12_14
<=> ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl12_14])],[avatar_definition]) ).
thf(f335,definition,
( spl12_19
<=> ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl12_19])],[avatar_definition]) ).
thf(f1334,definition,
( spl12_34
<=> ! [X2: sK1 > sK1 > $o,X4: sK0 > sK2,X3: sK3 > sK1,X1: sK0 > sK0 > $o] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X1 @ X4 @ sK6 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK11 @ sK11 )
!= $true )
| ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK10 @ sK11 ) )
| ( ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X2 @ sK8 @ X3 )
!= $true )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK10 @ sK10 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl12_34])],[avatar_definition]) ).
thf(f1391,plain,
( ! [X0: sK3 > sK1,X1: sK0 > sK2] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0 ) ) )
| ~ spl12_12
| ~ spl12_14
| ~ spl12_19
| ~ spl12_34 ),
inference(subsumption_resolution,[status(thm)],[f1390,f185]) ).
thf(f185,plain,
( ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK10 ) )
| ~ spl12_12 ),
inference(avatar_component_clause,[status(thm)],[f184]) ).
thf(f1390,plain,
( ! [X0: sK3 > sK1,X1: sK0 > sK2] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK10 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0 ) ) )
| ~ spl12_14
| ~ spl12_19
| ~ spl12_34 ),
inference(subsumption_resolution,[status(thm)],[f1385,f336]) ).
thf(f336,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11 )
= $true )
| ~ spl12_19 ),
inference(avatar_component_clause,[status(thm)],[f335]) ).
thf(f1385,plain,
( ! [X0: sK3 > sK1,X1: sK0 > sK2] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11 )
!= $true )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK10 ) ) )
| ~ spl12_14
| ~ spl12_34 ),
inference(trivial_inequality_removal,[status(thm)],[f1383]) ).
thf(f1383,plain,
( ! [X0: sK3 > sK1,X1: sK0 > sK2] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11 )
!= $true )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK10 ) )
| ( $true = $false )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0 ) ) )
| ~ spl12_14
| ~ spl12_34 ),
inference(superposition,[status(thm)],[f1335,f310]) ).
thf(f310,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11 )
= $false )
| ~ spl12_14 ),
inference(avatar_component_clause,[status(thm)],[f308]) ).
thf(f1335,plain,
( ! [X2: sK1 > sK1 > $o,X3: sK3 > sK1,X1: sK0 > sK0 > $o,X4: sK0 > sK2] :
( ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK10 @ sK11 ) )
| ( ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X2 @ sK8 @ X3 )
!= $true )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK11 @ sK11 )
!= $true )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X1 @ X4 @ sK6 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK10 @ sK10 ) ) )
| ~ spl12_34 ),
inference(avatar_component_clause,[status(thm)],[f1334]) ).
thf(f1347,plain,
( spl12_28
| spl12_27
| ~ spl12_19
| ~ spl12_33 ),
inference(avatar_split_clause,[status(thm)],[f1344,f1304,f335,f758,f761]) ).
thf(f1304,definition,
( spl12_33
<=> ! [X5: sK0 > sK0 > $o,X7: sK1 > sK1 > $o,X0: sK0 > sK1,X6: sK0 > sK2,X8: sK3 > sK1] :
( ( ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X7 @ sK8 @ X8 )
!= $true )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X5 @ X6 @ sK6 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X5 @ X7 @ X0 @ sK11 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl12_33])],[avatar_definition]) ).
thf(f1344,plain,
( ! [X0: sK3 > sK1,X1: sK0 > sK2] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0 ) ) )
| ~ spl12_19
| ~ spl12_33 ),
inference(trivial_inequality_removal,[status(thm)],[f1339]) ).
thf(f1339,plain,
( ! [X0: sK3 > sK1,X1: sK0 > sK2] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6 ) )
| ( $true != $true ) )
| ~ spl12_19
| ~ spl12_33 ),
inference(superposition,[status(thm)],[f1305,f336]) ).
thf(f1305,plain,
( ! [X0: sK0 > sK1,X8: sK3 > sK1,X6: sK0 > sK2,X7: sK1 > sK1 > $o,X5: sK0 > sK0 > $o] :
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X5 @ X7 @ X0 @ sK11 )
!= $true )
| ( ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X7 @ sK8 @ X8 )
!= $true )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X5 @ X6 @ sK6 ) ) )
| ~ spl12_33 ),
inference(avatar_component_clause,[status(thm)],[f1304]) ).
thf(f1336,plain,
( spl12_33
| spl12_34
| ~ spl12_1 ),
inference(avatar_split_clause,[status(thm)],[f1329,f115,f1334,f1304]) ).
thf(f115,definition,
( spl12_1
<=> ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11 )
= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10 ) ) ),
introduced(definition,[new_symbols(naming,[spl12_1])],[avatar_definition]) ).
thf(f1329,plain,
( ! [X2: sK1 > sK1 > $o,X3: sK3 > sK1,X0: sK0 > sK1,X1: sK0 > sK0 > $o,X8: sK3 > sK1,X6: sK0 > sK2,X7: sK1 > sK1 > $o,X4: sK0 > sK2,X5: sK0 > sK0 > $o] :
( ( ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X7 @ sK8 @ X8 )
!= $true )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X5 @ X6 @ sK6 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X1 @ X4 @ sK6 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK10 @ sK10 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X5 @ X7 @ X0 @ sK11 )
!= $true )
| ( ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X2 @ sK8 @ X3 )
!= $true )
| ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK10 @ sK11 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK11 @ sK11 )
!= $true ) )
| ~ spl12_1 ),
inference(trivial_inequality_removal,[status(thm)],[f1319]) ).
thf(f1319,plain,
( ! [X2: sK1 > sK1 > $o,X3: sK3 > sK1,X0: sK0 > sK1,X1: sK0 > sK0 > $o,X8: sK3 > sK1,X6: sK0 > sK2,X7: sK1 > sK1 > $o,X4: sK0 > sK2,X5: sK0 > sK0 > $o] :
( ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK10 @ sK11 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X5 @ X6 @ sK6 ) )
| ( ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X2 @ sK8 @ X3 )
!= $true )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X5 @ X7 @ X0 @ sK11 )
!= $true )
| ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X0 )
!= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X0 ) )
| ( ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X7 @ sK8 @ X8 )
!= $true )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X1 @ X4 @ sK6 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK10 @ sK10 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK11 @ sK11 )
!= $true ) )
| ~ spl12_1 ),
inference(superposition,[status(thm)],[f1102,f813]) ).
thf(f813,plain,
( ! [X2: sK3 > sK1,X3: sK0 > sK0 > $o,X0: sK0 > sK1,X1: sK1 > sK1 > $o,X4: sK0 > sK2] :
( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X0 )
= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X3 @ X4 @ sK6 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X3 @ X1 @ X0 @ sK11 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X1 @ sK8 @ X2 ) ) )
| ~ spl12_1 ),
inference(superposition,[status(thm)],[f117,f257]) ).
thf(f257,plain,
! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X10: X2 > X3,X11: X2 > X3,X8: X2 > X0,X6: X0 > X2,X9: X1 > X3,X7: X3 > X1,X4: X2 > X2 > $o,X5: X3 > X3 > $o] :
( ( ( c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X6 @ X7 @ X11 )
= ( c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X6 @ X7 @ X10 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ X3 @ X1 @ X5 @ X7 @ X9 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ X2 @ X0 @ X4 @ X8 @ X6 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X11 @ X10 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f253]) ).
thf(f253,plain,
! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X10: X2 > X3,X11: X2 > X3,X8: X2 > X0,X6: X0 > X2,X9: X1 > X3,X7: X3 > X1,X4: X2 > X2 > $o,X5: X3 > X3 > $o] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ X2 @ X0 @ X4 @ X8 @ X6 ) )
| ( $true != $true )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X11 @ X10 ) )
| ( ( c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X6 @ X7 @ X11 )
= ( c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X6 @ X7 @ X10 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ X3 @ X1 @ X5 @ X7 @ X9 ) ) ),
inference(superposition,[status(thm)],[f77,f78]) ).
thf(f78,plain,
! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X8: X1 > X3,X6: X2 > X0,X9: X3 > X1,X7: X1 > X1 > $o,X4: X0 > X0 > $o,X5: X0 > X2] :
( ( $true
= ( c_2Equotient_2EQUOTIENT @ ( X0 > X1 ) @ ( X2 > X3 ) @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 ) @ ( c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X5 @ X9 ) ) )
| ( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
!= $true )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9 ) ) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
thf(f54,plain,
! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: X0 > X0 > $o,X5: X0 > X2,X6: X2 > X0] :
( ( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
!= $true )
| ! [X7: X1 > X1 > $o,X8: X1 > X3,X9: X3 > X1] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9 ) )
| ( $true
= ( c_2Equotient_2EQUOTIENT @ ( X0 > X1 ) @ ( X2 > X3 ) @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 ) @ ( c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X5 @ X9 ) ) ) ) ),
inference(ennf_transformation,[status(thm)],[f37]) ).
thf(f37,plain,
! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: X0 > X0 > $o,X5: X0 > X2,X6: X2 > X0] :
( ( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
= $true )
=> ! [X7: X1 > X1 > $o,X8: X1 > X3,X9: X3 > X1] :
( ( $true
= ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9 ) )
=> ( $true
= ( c_2Equotient_2EQUOTIENT @ ( X0 > X1 ) @ ( X2 > X3 ) @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 ) @ ( c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X5 @ X9 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f36]) ).
thf(f36,plain,
! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: X0 > X0 > $o,X5: X0 > X2,X6: X2 > X0] :
( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
=> ! [X7: X1 > X1 > $o,X8: X1 > X3,X9: X3 > X1] :
( ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9 )
=> ( c_2Equotient_2EQUOTIENT @ ( X0 > X1 ) @ ( X2 > X3 ) @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 ) @ ( c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X5 @ X9 ) ) ) ),
inference(rectify,[status(thm)],[f15]) ).
thf(f15,axiom,
! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X17: X0 > X0 > $o,X18: X0 > X2,X19: X2 > X0] :
( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X17 @ X18 @ X19 )
=> ! [X20: X1 > X1 > $o,X21: X1 > X3,X22: X3 > X1] :
( ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X20 @ X21 @ X22 )
=> ( c_2Equotient_2EQUOTIENT @ ( X0 > X1 ) @ ( X2 > X3 ) @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X17 @ X20 ) @ ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X19 @ X21 ) @ ( c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X18 @ X22 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.m1C5hAK84D/DTF2THF_8796.p',thm_2Equotient_2EFUN__QUOTIENT) ).
thf(f77,plain,
! [X1: $tType,X0: $tType,X2: X0 > X0 > $o,X3: X0 > X1,X6: X0,X4: X1 > X0,X5: X0] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4 ) )
| ( ( X3 @ X6 )
= ( X3 @ X5 ) )
| ( ( X2 @ X5 @ X6 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
thf(f59,plain,
! [X0: $tType,X1: $tType,X2: X0 > X0 > $o,X3: X0 > X1,X4: X1 > X0] :
( ! [X5: X0,X6: X0] :
( ( ( ( ( X3 @ X6 )
= ( X3 @ X5 ) )
& ( ( X2 @ X5 @ X5 )
= $true )
& ( $true
= ( X2 @ X6 @ X6 ) ) )
| ( ( X2 @ X5 @ X6 )
!= $true ) )
& ( ( ( X2 @ X5 @ X6 )
= $true )
| ( ( X3 @ X6 )
!= ( X3 @ X5 ) )
| ( ( X2 @ X5 @ X5 )
!= $true )
| ( $true
!= ( X2 @ X6 @ X6 ) ) ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ),
inference(flattening,[status(thm)],[f58]) ).
thf(f58,plain,
! [X0: $tType,X1: $tType,X2: X0 > X0 > $o,X3: X0 > X1,X4: X1 > X0] :
( ! [X5: X0,X6: X0] :
( ( ( ( ( X3 @ X6 )
= ( X3 @ X5 ) )
& ( ( X2 @ X5 @ X5 )
= $true )
& ( $true
= ( X2 @ X6 @ X6 ) ) )
| ( ( X2 @ X5 @ X6 )
!= $true ) )
& ( ( ( X2 @ X5 @ X6 )
= $true )
| ( ( X3 @ X6 )
!= ( X3 @ X5 ) )
| ( ( X2 @ X5 @ X5 )
!= $true )
| ( $true
!= ( X2 @ X6 @ X6 ) ) ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ),
inference(nnf_transformation,[status(thm)],[f51]) ).
thf(f51,plain,
! [X0: $tType,X1: $tType,X2: X0 > X0 > $o,X3: X0 > X1,X4: X1 > X0] :
( ! [X5: X0,X6: X0] :
( ( ( ( X3 @ X6 )
= ( X3 @ X5 ) )
& ( ( X2 @ X5 @ X5 )
= $true )
& ( $true
= ( X2 @ X6 @ X6 ) ) )
<=> ( ( X2 @ X5 @ X6 )
= $true ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ),
inference(ennf_transformation,[status(thm)],[f41]) ).
thf(f41,plain,
! [X0: $tType,X1: $tType,X2: X0 > X0 > $o,X3: X0 > X1,X4: X1 > X0] :
( ( $true
= ( c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4 ) )
=> ! [X5: X0,X6: X0] :
( ( ( ( X3 @ X6 )
= ( X3 @ X5 ) )
& ( ( X2 @ X5 @ X5 )
= $true )
& ( $true
= ( X2 @ X6 @ X6 ) ) )
<=> ( ( X2 @ X5 @ X6 )
= $true ) ) ),
inference(fool_elimination,[status(thm)],[f40]) ).
thf(f40,plain,
! [X0: $tType,X1: $tType,X2: X0 > X0 > $o,X3: X0 > X1,X4: X1 > X0] :
( ( c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4 )
=> ! [X5: X0,X6: X0] :
( ( X2 @ X5 @ X6 )
<=> ( ( X2 @ X6 @ X6 )
& ( X2 @ X5 @ X5 )
& ( ( X3 @ X6 )
= ( X3 @ X5 ) ) ) ) ),
inference(rectify,[status(thm)],[f14]) ).
thf(f14,axiom,
! [X0: $tType,X1: $tType,X12: X0 > X0 > $o,X13: X0 > X1,X14: X1 > X0] :
( ( c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X12 @ X13 @ X14 )
=> ! [X15: X0,X16: X0] :
( ( X12 @ X15 @ X16 )
<=> ( ( X12 @ X16 @ X16 )
& ( X12 @ X15 @ X15 )
& ( ( X13 @ X15 )
= ( X13 @ X16 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.m1C5hAK84D/DTF2THF_8796.p',thm_2Equotient_2EQUOTIENT__REL) ).
thf(f117,plain,
( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11 )
= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10 ) )
| ~ spl12_1 ),
inference(avatar_component_clause,[status(thm)],[f115]) ).
thf(f1102,plain,
( ! [X2: sK3 > sK1,X3: sK0 > sK0 > $o,X0: sK0 > sK1,X1: sK1 > sK1 > $o,X4: sK0 > sK2] :
( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X0 )
!= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X3 @ X1 @ X0 @ X0 ) )
| ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X3 @ X1 @ X0 @ sK11 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X1 @ sK8 @ X2 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X3 @ X1 @ sK11 @ sK11 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X3 @ X4 @ sK6 ) ) )
| ~ spl12_1 ),
inference(superposition,[status(thm)],[f255,f117]) ).
thf(f255,plain,
! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X10: X2 > X3,X11: X2 > X3,X8: X2 > X0,X6: X0 > X2,X9: X1 > X3,X7: X3 > X1,X4: X2 > X2 > $o,X5: X3 > X3 > $o] :
( ( ( c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X6 @ X7 @ X11 )
!= ( c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X6 @ X7 @ X10 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ X3 @ X1 @ X5 @ X7 @ X9 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ X2 @ X0 @ X4 @ X8 @ X6 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X10 @ X10 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X11 @ X11 )
!= $true )
| ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X11 @ X10 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f250]) ).
thf(f250,plain,
! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X10: X2 > X3,X11: X2 > X3,X8: X2 > X0,X6: X0 > X2,X9: X1 > X3,X7: X3 > X1,X4: X2 > X2 > $o,X5: X3 > X3 > $o] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ X2 @ X0 @ X4 @ X8 @ X6 ) )
| ( $true != $true )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ X3 @ X1 @ X5 @ X7 @ X9 ) )
| ( ( c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X6 @ X7 @ X11 )
!= ( c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X6 @ X7 @ X10 ) )
| ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X11 @ X10 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X10 @ X10 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X11 @ X11 )
!= $true ) ),
inference(superposition,[status(thm)],[f74,f78]) ).
thf(f74,plain,
! [X1: $tType,X0: $tType,X2: X0 > X0 > $o,X3: X0 > X1,X6: X0,X4: X1 > X0,X5: X0] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4 ) )
| ( ( X2 @ X5 @ X6 )
= $true )
| ( ( X3 @ X6 )
!= ( X3 @ X5 ) )
| ( $true
!= ( X2 @ X6 @ X6 ) )
| ( ( X2 @ X5 @ X5 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
thf(f951,plain,
( spl12_14
| spl12_2
| ~ spl12_6 ),
inference(avatar_split_clause,[status(thm)],[f937,f140,f119,f308]) ).
thf(f119,definition,
( spl12_2
<=> ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl12_2])],[avatar_definition]) ).
thf(f140,definition,
( spl12_6
<=> ! [X1: $o] :
( ( $false = X1 )
| ( $true = X1 ) ) ),
introduced(definition,[new_symbols(naming,[spl12_6])],[avatar_definition]) ).
thf(f937,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11 )
= $false )
| spl12_2
| ~ spl12_6 ),
inference(trivial_inequality_removal,[status(thm)],[f926]) ).
thf(f926,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11 )
= $false )
| ( $true != $true )
| spl12_2
| ~ spl12_6 ),
inference(superposition,[status(thm)],[f120,f141]) ).
thf(f141,plain,
( ! [X1: $o] :
( ( $true = X1 )
| ( $false = X1 ) )
| ~ spl12_6 ),
inference(avatar_component_clause,[status(thm)],[f140]) ).
thf(f120,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11 )
!= $true )
| spl12_2 ),
inference(avatar_component_clause,[status(thm)],[f119]) ).
thf(f915,plain,
( spl12_12
| ~ spl12_4 ),
inference(avatar_split_clause,[status(thm)],[f912,f129,f184]) ).
thf(f129,definition,
( spl12_4
<=> ( $true
= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK10 ) ) ),
introduced(definition,[new_symbols(naming,[spl12_4])],[avatar_definition]) ).
thf(f912,plain,
( ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK10 ) )
| ~ spl12_4 ),
inference(superposition,[status(thm)],[f130,f91]) ).
thf(f91,plain,
! [X1: $tType,X0: $tType,X2: X0 > X0 > X1,X3: X0] :
( ( X2 @ X3 @ X3 )
= ( c_2Equotient_2Erespects @ X0 @ X1 @ X2 @ X3 ) ),
inference(definition_unfolding,[status(thm)],[f69,f68]) ).
thf(f68,plain,
! [X1: $tType,X0: $tType] : ( c_2Ecombin_2EW @ X0 @ ( X1 = c_2Equotient_2Erespects ) @ X0 @ X1 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f16,axiom,
! [X0: $tType,X1: $tType] : ( c_2Ecombin_2EW @ X0 @ ( X1 = c_2Equotient_2Erespects ) @ X0 @ X1 ),
file('/export/starexec/sandbox2/tmp/tmp.m1C5hAK84D/DTF2THF_8796.p',thm_2Equotient_2Erespects__def) ).
thf(f69,plain,
! [X1: $tType,X0: $tType,X2: X0 > X0 > X1,X3: X0] :
( ( c_2Ecombin_2EW @ X0 @ X1 @ X2 @ X3 )
= ( X2 @ X3 @ X3 ) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
thf(f50,plain,
! [X0: $tType,X1: $tType,X2: X0 > X0 > X1,X3: X0] :
( ( c_2Ecombin_2EW @ X0 @ X1 @ X2 @ X3 )
= ( X2 @ X3 @ X3 ) ),
inference(rectify,[status(thm)],[f13]) ).
thf(f13,axiom,
! [X0: $tType,X1: $tType,X6: X0 > X0 > X1,X7: X0] :
( ( c_2Ecombin_2EW @ X0 @ X1 @ X6 @ X7 )
= ( X6 @ X7 @ X7 ) ),
file('/export/starexec/sandbox2/tmp/tmp.m1C5hAK84D/DTF2THF_8796.p',thm_2Ecombin_2EW__THM) ).
thf(f130,plain,
( ( $true
= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK10 ) )
| ~ spl12_4 ),
inference(avatar_component_clause,[status(thm)],[f129]) ).
thf(f907,plain,
( spl12_19
| ~ spl12_3 ),
inference(avatar_split_clause,[status(thm)],[f903,f124,f335]) ).
thf(f124,definition,
( spl12_3
<=> ( $true
= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK11 ) ) ),
introduced(definition,[new_symbols(naming,[spl12_3])],[avatar_definition]) ).
thf(f903,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11 )
= $true )
| ~ spl12_3 ),
inference(superposition,[status(thm)],[f126,f91]) ).
thf(f126,plain,
( ( $true
= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK11 ) )
| ~ spl12_3 ),
inference(avatar_component_clause,[status(thm)],[f124]) ).
thf(f898,plain,
( spl12_2
| ~ spl12_7 ),
inference(avatar_contradiction_clause,[status(thm)],[f897]) ).
thf(f897,plain,
( $false
| spl12_2
| ~ spl12_7 ),
inference(subsumption_resolution,[status(thm)],[f120,f144]) ).
thf(f144,plain,
( ! [X0: $o] : ( $true = X0 )
| ~ spl12_7 ),
inference(avatar_component_clause,[status(thm)],[f143]) ).
thf(f143,definition,
( spl12_7
<=> ! [X0: $o] : ( $true = X0 ) ),
introduced(definition,[new_symbols(naming,[spl12_7])],[avatar_definition]) ).
thf(f888,plain,
( spl12_3
| ~ spl12_7 ),
inference(avatar_contradiction_clause,[status(thm)],[f887]) ).
thf(f887,plain,
( $false
| spl12_3
| ~ spl12_7 ),
inference(trivial_inequality_removal,[status(thm)],[f867]) ).
thf(f867,plain,
( ( $true != $true )
| spl12_3
| ~ spl12_7 ),
inference(superposition,[status(thm)],[f125,f144]) ).
thf(f125,plain,
( ( $true
!= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK11 ) )
| spl12_3 ),
inference(avatar_component_clause,[status(thm)],[f124]) ).
thf(f851,plain,
( ~ spl12_19
| spl12_3 ),
inference(avatar_split_clause,[status(thm)],[f850,f124,f335]) ).
thf(f850,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11 )
!= $true )
| spl12_3 ),
inference(superposition,[status(thm)],[f125,f91]) ).
thf(f849,plain,
( ~ spl12_2
| ~ spl12_30 ),
inference(avatar_contradiction_clause,[status(thm)],[f848]) ).
thf(f848,plain,
( $false
| ~ spl12_2
| ~ spl12_30 ),
inference(trivial_inequality_removal,[status(thm)],[f841]) ).
thf(f841,plain,
( ( $true != $true )
| ~ spl12_2
| ~ spl12_30 ),
inference(superposition,[status(thm)],[f809,f121]) ).
thf(f121,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11 )
= $true )
| ~ spl12_2 ),
inference(avatar_component_clause,[status(thm)],[f119]) ).
thf(f809,plain,
( ! [X3: sK0 > sK1] :
( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ X3 ) )
| ~ spl12_30 ),
inference(avatar_component_clause,[status(thm)],[f808]) ).
thf(f808,definition,
( spl12_30
<=> ! [X3: sK0 > sK1] :
( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ X3 ) ) ),
introduced(definition,[new_symbols(naming,[spl12_30])],[avatar_definition]) ).
thf(f810,plain,
( spl12_22
| spl12_30
| spl12_24
| spl12_12 ),
inference(avatar_split_clause,[status(thm)],[f801,f184,f566,f808,f560]) ).
thf(f560,definition,
( spl12_22
<=> ! [X4: $tType,X6: X4 > sK1,X5: sK1 > X4] :
( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ X4 @ sK7 @ X5 @ X6 ) ) ),
introduced(definition,[new_symbols(naming,[spl12_22])],[avatar_definition]) ).
thf(f566,definition,
( spl12_24
<=> ! [X0: $tType,X2: X0 > sK0,X1: sK0 > X0] :
( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ X0 @ sK4 @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(naming,[spl12_24])],[avatar_definition]) ).
thf(f801,plain,
( ! [X4: $tType,X0: $tType,X2: X0 > sK0,X3: sK0 > sK1,X1: sK0 > X0,X6: X4 > sK1,X5: sK1 > X4] :
( ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ X3 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ X0 @ sK4 @ X1 @ X2 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ X4 @ sK7 @ X5 @ X6 ) ) )
| spl12_12 ),
inference(trivial_inequality_removal,[status(thm)],[f798]) ).
thf(f798,plain,
( ! [X4: $tType,X0: $tType,X2: X0 > sK0,X3: sK0 > sK1,X1: sK0 > X0,X6: X4 > sK1,X5: sK1 > X4] :
( ( $true != $true )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ X3 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ X4 @ sK7 @ X5 @ X6 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ X0 @ sK4 @ X1 @ X2 ) ) )
| spl12_12 ),
inference(superposition,[status(thm)],[f186,f256]) ).
thf(f256,plain,
! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X10: X2 > X3,X11: X2 > X3,X8: X2 > X0,X6: X0 > X2,X9: X1 > X3,X7: X3 > X1,X4: X2 > X2 > $o,X5: X3 > X3 > $o] :
( ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X10 @ X10 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ X2 @ X0 @ X4 @ X8 @ X6 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X10 @ X11 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ X3 @ X1 @ X5 @ X7 @ X9 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f251]) ).
thf(f251,plain,
! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X10: X2 > X3,X11: X2 > X3,X8: X2 > X0,X6: X0 > X2,X9: X1 > X3,X7: X3 > X1,X4: X2 > X2 > $o,X5: X3 > X3 > $o] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ X2 @ X0 @ X4 @ X8 @ X6 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X10 @ X11 ) )
| ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X10 @ X10 ) )
| ( $true != $true )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ X3 @ X1 @ X5 @ X7 @ X9 ) ) ),
inference(superposition,[status(thm)],[f76,f78]) ).
thf(f76,plain,
! [X1: $tType,X0: $tType,X2: X0 > X0 > $o,X3: X0 > X1,X6: X0,X4: X1 > X0,X5: X0] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4 ) )
| ( ( X2 @ X5 @ X5 )
= $true )
| ( ( X2 @ X5 @ X6 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
thf(f186,plain,
( ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK10 ) )
| spl12_12 ),
inference(avatar_component_clause,[status(thm)],[f184]) ).
thf(f794,plain,
( ~ spl12_12
| spl12_4 ),
inference(avatar_split_clause,[status(thm)],[f791,f129,f184]) ).
thf(f791,plain,
( ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK10 ) )
| spl12_4 ),
inference(superposition,[status(thm)],[f131,f91]) ).
thf(f131,plain,
( ( $true
!= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK10 ) )
| spl12_4 ),
inference(avatar_component_clause,[status(thm)],[f129]) ).
thf(f786,plain,
( ~ spl12_5
| ~ spl12_28 ),
inference(avatar_contradiction_clause,[status(thm)],[f785]) ).
thf(f785,plain,
( $false
| ~ spl12_5
| ~ spl12_28 ),
inference(trivial_inequality_removal,[status(thm)],[f782]) ).
thf(f782,plain,
( ( $true != $true )
| ~ spl12_5
| ~ spl12_28 ),
inference(superposition,[status(thm)],[f762,f137]) ).
thf(f137,plain,
( ( $true
= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ sK9 ) )
| ~ spl12_5 ),
inference(avatar_component_clause,[status(thm)],[f135]) ).
thf(f135,definition,
( spl12_5
<=> ( $true
= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ sK9 ) ) ),
introduced(definition,[new_symbols(naming,[spl12_5])],[avatar_definition]) ).
thf(f762,plain,
( ! [X0: sK3 > sK1] :
( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0 ) )
| ~ spl12_28 ),
inference(avatar_component_clause,[status(thm)],[f761]) ).
thf(f767,plain,
( ~ spl12_8
| ~ spl12_27 ),
inference(avatar_contradiction_clause,[status(thm)],[f766]) ).
thf(f766,plain,
( $false
| ~ spl12_8
| ~ spl12_27 ),
inference(trivial_inequality_removal,[status(thm)],[f764]) ).
thf(f764,plain,
( ( $true != $true )
| ~ spl12_8
| ~ spl12_27 ),
inference(superposition,[status(thm)],[f759,f150]) ).
thf(f150,plain,
( ( $true
= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ sK5 @ sK6 ) )
| ~ spl12_8 ),
inference(avatar_component_clause,[status(thm)],[f148]) ).
thf(f148,definition,
( spl12_8
<=> ( $true
= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ sK5 @ sK6 ) ) ),
introduced(definition,[new_symbols(naming,[spl12_8])],[avatar_definition]) ).
thf(f759,plain,
( ! [X1: sK0 > sK2] :
( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6 ) )
| ~ spl12_27 ),
inference(avatar_component_clause,[status(thm)],[f758]) ).
thf(f763,plain,
( spl12_27
| spl12_28
| spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[status(thm)],[f756,f119,f115,f761,f758]) ).
thf(f756,plain,
( ! [X0: sK3 > sK1,X1: sK0 > sK2] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6 ) ) )
| spl12_1
| ~ spl12_2 ),
inference(trivial_inequality_removal,[status(thm)],[f753]) ).
thf(f753,plain,
( ! [X0: sK3 > sK1,X1: sK0 > sK2] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6 ) )
| ( $true != $true )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0 ) ) )
| spl12_1
| ~ spl12_2 ),
inference(superposition,[status(thm)],[f752,f121]) ).
thf(f752,plain,
( ! [X2: sK0 > sK0 > $o,X3: sK0 > sK2,X0: sK1 > sK1 > $o,X1: sK3 > sK1] :
( ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X2 @ X0 @ sK10 @ sK11 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X0 @ sK8 @ X1 ) )
| ( ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X2 @ X3 @ sK6 )
!= $true ) )
| spl12_1 ),
inference(equality_resolution,[status(thm)],[f719]) ).
thf(f719,plain,
( ! [X2: sK3 > sK1,X3: sK0 > sK0 > $o,X0: sK0 > sK1,X1: sK1 > sK1 > $o,X4: sK0 > sK2] :
( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X0 @ ( sK16 @ X0 ) )
!= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10 @ ( sK16 @ X0 ) ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X1 @ sK8 @ X2 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X3 @ X4 @ sK6 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X3 @ X1 @ X0 @ sK11 ) ) )
| spl12_1 ),
inference(negative_extensionality,[status(thm)],[f645]) ).
thf(f645,plain,
( ! [X2: sK3 > sK1,X3: sK0 > sK0 > $o,X0: sK0 > sK1,X1: sK1 > sK1 > $o,X4: sK0 > sK2] :
( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X0 )
!= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X3 @ X4 @ sK6 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X1 @ sK8 @ X2 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X3 @ X1 @ X0 @ sK11 ) ) )
| spl12_1 ),
inference(superposition,[status(thm)],[f116,f257]) ).
thf(f116,plain,
( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11 )
!= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10 ) )
| spl12_1 ),
inference(avatar_component_clause,[status(thm)],[f115]) ).
thf(f611,plain,
( ~ spl12_8
| ~ spl12_24 ),
inference(avatar_contradiction_clause,[status(thm)],[f610]) ).
thf(f610,plain,
( $false
| ~ spl12_8
| ~ spl12_24 ),
inference(trivial_inequality_removal,[status(thm)],[f606]) ).
thf(f606,plain,
( ( $true != $true )
| ~ spl12_8
| ~ spl12_24 ),
inference(superposition,[status(thm)],[f567,f150]) ).
thf(f567,plain,
( ! [X0: $tType,X2: X0 > sK0,X1: sK0 > X0] :
( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ X0 @ sK4 @ X1 @ X2 ) )
| ~ spl12_24 ),
inference(avatar_component_clause,[status(thm)],[f566]) ).
thf(f604,plain,
( ~ spl12_2
| ~ spl12_25 ),
inference(avatar_contradiction_clause,[status(thm)],[f603]) ).
thf(f603,plain,
( $false
| ~ spl12_2
| ~ spl12_25 ),
inference(trivial_inequality_removal,[status(thm)],[f597]) ).
thf(f597,plain,
( ( $true != $true )
| ~ spl12_2
| ~ spl12_25 ),
inference(superposition,[status(thm)],[f586,f121]) ).
thf(f586,plain,
( ! [X3: sK0 > sK1] :
( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ X3 @ sK11 ) )
| ~ spl12_25 ),
inference(avatar_component_clause,[status(thm)],[f585]) ).
thf(f585,definition,
( spl12_25
<=> ! [X3: sK0 > sK1] :
( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ X3 @ sK11 ) ) ),
introduced(definition,[new_symbols(naming,[spl12_25])],[avatar_definition]) ).
thf(f595,plain,
( ~ spl12_5
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[status(thm)],[f594]) ).
thf(f594,plain,
( $false
| ~ spl12_5
| ~ spl12_22 ),
inference(trivial_inequality_removal,[status(thm)],[f590]) ).
thf(f590,plain,
( ( $true != $true )
| ~ spl12_5
| ~ spl12_22 ),
inference(superposition,[status(thm)],[f561,f137]) ).
thf(f561,plain,
( ! [X4: $tType,X6: X4 > sK1,X5: sK1 > X4] :
( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ X4 @ sK7 @ X5 @ X6 ) )
| ~ spl12_22 ),
inference(avatar_component_clause,[status(thm)],[f560]) ).
thf(f588,plain,
( spl12_24
| spl12_22
| spl12_25
| ~ spl12_21 ),
inference(avatar_split_clause,[status(thm)],[f582,f516,f585,f560,f566]) ).
thf(f516,definition,
( spl12_21
<=> ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl12_21])],[avatar_definition]) ).
thf(f582,plain,
( ! [X4: $tType,X0: $tType,X2: X0 > sK0,X3: sK0 > sK1,X1: sK0 > X0,X6: X4 > sK1,X5: sK1 > X4] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ X0 @ sK4 @ X1 @ X2 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ X4 @ sK7 @ X5 @ X6 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ X3 @ sK11 ) ) )
| ~ spl12_21 ),
inference(trivial_inequality_removal,[status(thm)],[f578]) ).
thf(f578,plain,
( ! [X4: $tType,X0: $tType,X2: X0 > sK0,X3: sK0 > sK1,X1: sK0 > X0,X6: X4 > sK1,X5: sK1 > X4] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK1 @ X4 @ sK7 @ X5 @ X6 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ X3 @ sK11 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ sK0 @ X0 @ sK4 @ X1 @ X2 ) )
| ( $true = $false ) )
| ~ spl12_21 ),
inference(superposition,[status(thm)],[f518,f258]) ).
thf(f258,plain,
! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X10: X2 > X3,X11: X2 > X3,X8: X2 > X0,X6: X0 > X2,X9: X1 > X3,X7: X3 > X1,X4: X2 > X2 > $o,X5: X3 > X3 > $o] :
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X11 @ X11 )
= $true )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ X2 @ X0 @ X4 @ X8 @ X6 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X10 @ X11 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ X3 @ X1 @ X5 @ X7 @ X9 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f252]) ).
thf(f252,plain,
! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X10: X2 > X3,X11: X2 > X3,X8: X2 > X0,X6: X0 > X2,X9: X1 > X3,X7: X3 > X1,X4: X2 > X2 > $o,X5: X3 > X3 > $o] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ X3 @ X1 @ X5 @ X7 @ X9 ) )
| ( $true
!= ( c_2Equotient_2EQUOTIENT @ X2 @ X0 @ X4 @ X8 @ X6 ) )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X10 @ X11 ) )
| ( $true != $true )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X11 @ X11 )
= $true ) ),
inference(superposition,[status(thm)],[f75,f78]) ).
thf(f75,plain,
! [X1: $tType,X0: $tType,X2: X0 > X0 > $o,X3: X0 > X1,X6: X0,X4: X1 > X0,X5: X0] :
( ( $true
!= ( c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4 ) )
| ( ( X2 @ X5 @ X6 )
!= $true )
| ( $true
= ( X2 @ X6 @ X6 ) ) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
thf(f518,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11 )
= $false )
| ~ spl12_21 ),
inference(avatar_component_clause,[status(thm)],[f516]) ).
thf(f519,plain,
( spl12_21
| ~ spl12_6
| spl12_19 ),
inference(avatar_split_clause,[status(thm)],[f514,f335,f140,f516]) ).
thf(f514,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11 )
= $false )
| ~ spl12_6
| spl12_19 ),
inference(trivial_inequality_removal,[status(thm)],[f513]) ).
thf(f513,plain,
( ( $true != $true )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11 )
= $false )
| ~ spl12_6
| spl12_19 ),
inference(superposition,[status(thm)],[f337,f141]) ).
thf(f337,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11 )
!= $true )
| spl12_19 ),
inference(avatar_component_clause,[status(thm)],[f335]) ).
thf(f151,plain,
spl12_8,
inference(avatar_split_clause,[status(thm)],[f85,f148]) ).
thf(f85,plain,
( $true
= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ sK5 @ sK6 ) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
thf(f67,plain,
( ( $true
= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ sK9 ) )
& ( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11 )
!= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10 ) )
| ( $true
!= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK11 ) )
| ( $true
!= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK10 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11 )
!= $true ) )
& ( ( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11 )
= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK11 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK10 ) ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11 )
= $true ) )
& ( $true
= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ sK5 @ sK6 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f63,f66,f65,f64]) ).
thf(f64,plain,
( ? [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: X0 > X0 > $o,X5: X0 > X2,X6: X2 > X0] :
( ? [X7: X1 > X1 > $o,X8: X1 > X3,X9: X3 > X1] :
( ( $true
= ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9 ) )
& ? [X10: X0 > X1,X11: X0 > X1] :
( ( ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11 )
!= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10 ) )
| ( $true
!= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X11 ) )
| ( $true
!= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X10 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11 )
!= $true ) )
& ( ( ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11 )
= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X11 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X10 ) ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11 )
= $true ) ) ) )
& ( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
= $true ) )
=> ( ? [X9: sK3 > sK1,X8: sK1 > sK3,X7: sK1 > sK1 > $o] :
( ( ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X7 @ X8 @ X9 )
= $true )
& ? [X11: sK0 > sK1,X10: sK0 > sK1] :
( ( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ X8 @ X11 )
!= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ X8 @ X10 ) )
| ( ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7 ) @ X11 )
!= $true )
| ( $true
!= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7 ) @ X10 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7 @ X10 @ X11 )
!= $true ) )
& ( ( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ X8 @ X11 )
= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ X8 @ X10 ) )
& ( ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7 ) @ X11 )
= $true )
& ( $true
= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7 ) @ X10 ) ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7 @ X10 @ X11 )
= $true ) ) ) )
& ( $true
= ( c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ sK5 @ sK6 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f65,plain,
( ? [X9: sK3 > sK1,X8: sK1 > sK3,X7: sK1 > sK1 > $o] :
( ( ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X7 @ X8 @ X9 )
= $true )
& ? [X11: sK0 > sK1,X10: sK0 > sK1] :
( ( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ X8 @ X11 )
!= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ X8 @ X10 ) )
| ( ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7 ) @ X11 )
!= $true )
| ( $true
!= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7 ) @ X10 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7 @ X10 @ X11 )
!= $true ) )
& ( ( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ X8 @ X11 )
= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ X8 @ X10 ) )
& ( ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7 ) @ X11 )
= $true )
& ( $true
= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7 ) @ X10 ) ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7 @ X10 @ X11 )
= $true ) ) ) )
=> ( ( $true
= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ sK9 ) )
& ? [X11: sK0 > sK1,X10: sK0 > sK1] :
( ( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X10 )
!= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X11 ) )
| ( ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ X11 )
!= $true )
| ( ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ X10 )
!= $true )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ X10 @ X11 ) ) )
& ( ( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X10 )
= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X11 ) )
& ( ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ X11 )
= $true )
& ( ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ X10 )
= $true ) )
| ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ X10 @ X11 ) ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f66,plain,
( ? [X11: sK0 > sK1,X10: sK0 > sK1] :
( ( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X10 )
!= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X11 ) )
| ( ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ X11 )
!= $true )
| ( ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ X10 )
!= $true )
| ( $true
!= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ X10 @ X11 ) ) )
& ( ( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X10 )
= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X11 ) )
& ( ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ X11 )
= $true )
& ( ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ X10 )
= $true ) )
| ( $true
= ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ X10 @ X11 ) ) ) )
=> ( ( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11 )
!= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10 ) )
| ( $true
!= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK11 ) )
| ( $true
!= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK10 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11 )
!= $true ) )
& ( ( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11 )
= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK11 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK10 ) ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11 )
= $true ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f63,plain,
? [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: X0 > X0 > $o,X5: X0 > X2,X6: X2 > X0] :
( ? [X7: X1 > X1 > $o,X8: X1 > X3,X9: X3 > X1] :
( ( $true
= ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9 ) )
& ? [X10: X0 > X1,X11: X0 > X1] :
( ( ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11 )
!= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10 ) )
| ( $true
!= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X11 ) )
| ( $true
!= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X10 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11 )
!= $true ) )
& ( ( ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11 )
= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X11 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X10 ) ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11 )
= $true ) ) ) )
& ( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
= $true ) ),
inference(flattening,[status(thm)],[f62]) ).
thf(f62,plain,
? [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: X0 > X0 > $o,X5: X0 > X2,X6: X2 > X0] :
( ? [X7: X1 > X1 > $o,X8: X1 > X3,X9: X3 > X1] :
( ( $true
= ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9 ) )
& ? [X10: X0 > X1,X11: X0 > X1] :
( ( ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11 )
!= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10 ) )
| ( $true
!= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X11 ) )
| ( $true
!= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X10 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11 )
!= $true ) )
& ( ( ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11 )
= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X11 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X10 ) ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11 )
= $true ) ) ) )
& ( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
= $true ) ),
inference(nnf_transformation,[status(thm)],[f55]) ).
thf(f55,plain,
? [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: X0 > X0 > $o,X5: X0 > X2,X6: X2 > X0] :
( ? [X7: X1 > X1 > $o,X8: X1 > X3,X9: X3 > X1] :
( ( $true
= ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9 ) )
& ? [X10: X0 > X1,X11: X0 > X1] :
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11 )
= $true )
<~> ( ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11 )
= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X11 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X10 ) ) ) ) )
& ( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
= $true ) ),
inference(ennf_transformation,[status(thm)],[f29]) ).
thf(f29,plain,
~ ! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: X0 > X0 > $o,X5: X0 > X2,X6: X2 > X0] :
( ( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
= $true )
=> ! [X7: X1 > X1 > $o,X8: X1 > X3,X9: X3 > X1] :
( ( $true
= ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9 ) )
=> ! [X10: X0 > X1,X11: X0 > X1] :
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11 )
= $true )
<=> ( ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11 )
= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X11 ) )
& ( $true
= ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X10 ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f28]) ).
thf(f28,plain,
~ ! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: X0 > X0 > $o,X5: X0 > X2,X6: X2 > X0] :
( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6 )
=> ! [X7: X1 > X1 > $o,X8: X1 > X3,X9: X3 > X1] :
( ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9 )
=> ! [X10: X0 > X1,X11: X0 > X1] :
( ( ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11 )
= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10 ) )
& ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X10 )
& ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 ) @ X11 ) )
<=> ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11 ) ) ) ),
inference(rectify,[status(thm)],[f18]) ).
thf(f18,negated_conjecture,
~ ! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X17: X0 > X0 > $o,X18: X0 > X2,X19: X2 > X0] :
( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X17 @ X18 @ X19 )
=> ! [X20: X1 > X1 > $o,X21: X1 > X3,X22: X3 > X1] :
( ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X20 @ X21 @ X22 )
=> ! [X23: X0 > X1,X24: X0 > X1] :
( ( ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X19 @ X21 @ X23 )
= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X19 @ X21 @ X24 ) )
& ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X17 @ X20 ) @ X23 )
& ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X17 @ X20 ) @ X24 ) )
<=> ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X17 @ X20 @ X23 @ X24 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
thf(f17,conjecture,
! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X17: X0 > X0 > $o,X18: X0 > X2,X19: X2 > X0] :
( ( c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X17 @ X18 @ X19 )
=> ! [X20: X1 > X1 > $o,X21: X1 > X3,X22: X3 > X1] :
( ( c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X20 @ X21 @ X22 )
=> ! [X23: X0 > X1,X24: X0 > X1] :
( ( ( ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X19 @ X21 @ X23 )
= ( c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X19 @ X21 @ X24 ) )
& ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X17 @ X20 ) @ X23 )
& ( c_2Equotient_2Erespects @ ( X0 > X1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X17 @ X20 ) @ X24 ) )
<=> ( c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X17 @ X20 @ X23 @ X24 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.m1C5hAK84D/DTF2THF_8796.p',thm_2Equotient_2EFUN__REL__EQ__REL) ).
thf(f146,plain,
( spl12_7
| spl12_6 ),
inference(avatar_split_clause,[status(thm)],[f112,f140,f143]) ).
thf(f112,plain,
! [X0: $o,X1: $o] :
( ( $false = X0 )
| ( $true = X1 )
| ( $true = X0 ) ),
inference(duplicate_literal_removal,[status(thm)],[f111]) ).
thf(f111,plain,
! [X0: $o,X1: $o] :
( ( $true = X1 )
| ( $true = X1 )
| ( $false = X0 )
| ( $true = X0 ) ),
inference(binary_proxy_clausification,[status(thm)],[f73]) ).
thf(f73,plain,
! [X0: $o,X1: $o] :
( ( X0 = X1 )
| ( $true = X1 )
| ( $true = X0 ) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
thf(f53,plain,
! [X0: $o,X1: $o] :
( ( X0 = X1 )
| ( ( $true = X0 )
& ( $true != X1 ) )
| ( ( $true = X1 )
& ( $true != X0 ) ) ),
inference(flattening,[status(thm)],[f52]) ).
thf(f52,plain,
! [X0: $o,X1: $o] :
( ( X0 = X1 )
| ( ( $true = X1 )
& ( $true != X0 ) )
| ( ( $true = X0 )
& ( $true != X1 ) ) ),
inference(ennf_transformation,[status(thm)],[f35]) ).
thf(f35,plain,
! [X0: $o,X1: $o] :
( ( ( $true = X0 )
=> ( $true = X1 ) )
=> ( ( ( $true = X1 )
=> ( $true = X0 ) )
=> ( X0 = X1 ) ) ),
inference(fool_elimination,[status(thm)],[f34]) ).
thf(f34,plain,
! [X0: $o,X1: $o] :
( ( X0
=> X1 )
=> ( ( X1
=> X0 )
=> ( X0 = X1 ) ) ),
inference(rectify,[status(thm)],[f9]) ).
thf(f9,axiom,
! [X8: $o,X9: $o] :
( ( X8
=> X9 )
=> ( ( X9
=> X8 )
=> ( X8 = X9 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.m1C5hAK84D/DTF2THF_8796.p',thm_2Ebool_2EIMP__ANTISYM__AX) ).
thf(f138,plain,
spl12_5,
inference(avatar_split_clause,[status(thm)],[f90,f135]) ).
thf(f90,plain,
( $true
= ( c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ sK9 ) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
thf(f133,plain,
( spl12_4
| spl12_2 ),
inference(avatar_split_clause,[status(thm)],[f86,f119,f129]) ).
thf(f86,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11 )
= $true )
| ( $true
= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK10 ) ) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
thf(f132,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_2
| ~ spl12_4 ),
inference(avatar_split_clause,[status(thm)],[f89,f129,f119,f124,f115]) ).
thf(f89,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11 )
!= $true )
| ( $true
!= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK10 ) )
| ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11 )
!= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10 ) )
| ( $true
!= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK11 ) ) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
thf(f127,plain,
( spl12_3
| spl12_2 ),
inference(avatar_split_clause,[status(thm)],[f87,f119,f124]) ).
thf(f87,plain,
( ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11 )
= $true )
| ( $true
= ( c_2Equotient_2Erespects @ ( sK0 > sK1 ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 ) @ sK11 ) ) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
thf(f122,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[status(thm)],[f88,f119,f115]) ).
thf(f88,plain,
( ( ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11 )
= ( c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10 ) )
| ( ( c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ITP009^3 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.35 % Computer : n013.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Tue Feb 24 08:19:08 EST 2026
% 0.17/0.35 % CPUTime :
% 0.17/0.35 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.28/0.48 ---- Original DTF file ---
% 0.28/0.48 thf(spec,logic,$$dhol).
% 0.28/0.48 %------------------------------------------------------------------------------
% 0.28/0.48 % File : ITP009^3 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.28/0.48 % Domain : Interactive Theorem Proving
% 0.28/0.48 % Problem : HOL4 syntactic export of thm_2Equotient_2EFUN__REL__EQ__REL.p, bushy mode
% 0.28/0.48 % Version : [BG+19] axioms.
% 0.28/0.48 % English :
% 0.28/0.48
% 0.28/0.48 % Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% 0.28/0.48 % : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% 0.28/0.48 % Source : [BG+19]
% 0.28/0.48 % Names : thm_2Equotient_2EFUN__REL__EQ__REL.p [Gau19]
% 0.28/0.48 % : HL404001^3.p [TPAP]
% 0.28/0.48
% 0.28/0.48 % Status : Theorem
% 0.28/0.48 % Rating : 0.33 v8.1.0, 0.25 v7.5.0
% 0.28/0.48 % Syntax : Number of formulae : 33 ( 9 unt; 16 typ; 0 def)
% 0.28/0.48 % Number of atoms : 41 ( 10 equ; 3 cnn)
% 0.28/0.48 % Maximal formula atoms : 6 ( 2 avg)
% 0.28/0.48 % Number of connectives : 173 ( 3 ~; 1 |; 18 &; 119 @)
% 0.28/0.48 % ( 19 <=>; 13 =>; 0 <=; 0 <~>)
% 0.28/0.48 % Maximal formula depth : 24 ( 8 avg)
% 0.28/0.48 % Number of types : 2 ( 1 usr)
% 0.28/0.48 % Number of type conns : 77 ( 77 >; 0 *; 0 +; 0 <<)
% 0.28/0.48 % Number of symbols : 17 ( 15 usr; 3 con; 0-8 aty)
% 0.28/0.48 % Number of variables : 73 ( 0 ^; 57 !; 1 ?; 73 :)
% 0.28/0.48 % ( 15 !>; 0 ?*; 0 @-; 0 @+)
% 0.28/0.48 % SPC : TH1_THM_EQU_NAR
% 0.28/0.48
% 0.28/0.48 % Comments :
% 0.28/0.48 % Bugfixes : v7.5.0 - Bugfixes in axioms and export.
% 0.28/0.48 %------------------------------------------------------------------------------
% 0.28/0.48 thf(tyop_2Emin_2Ebool,type,
% 0.28/0.48 tyop_2Emin_2Ebool: $tType ).
% 0.28/0.48
% 0.28/0.48 thf(tyop_2Emin_2Efun,type,
% 0.28/0.48 tyop_2Emin_2Efun: $tType > $tType > $tType ).
% 0.28/0.48
% 0.28/0.48 thf(c_2Ebool_2E_21,type,
% 0.28/0.48 c_2Ebool_2E_21:
% 0.28/0.48 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 0.28/0.48
% 0.28/0.48 thf(c_2Equotient_2E_2D_2D_3E,type,
% 0.28/0.48 c_2Equotient_2E_2D_2D_3E:
% 0.28/0.48 !>[A_27a: $tType,A_27b: $tType,A_27c: $tType,A_27d: $tType] : ( ( A_27a > A_27c ) > ( A_27b > A_27d ) > ( A_27c > A_27b ) > A_27a > A_27d ) ).
% 0.28/0.48
% 0.28/0.48 thf(c_2Ebool_2E_2F_5C,type,
% 0.28/0.48 c_2Ebool_2E_2F_5C: $o > $o > $o ).
% 0.28/0.48
% 0.28/0.48 thf(c_2Emin_2E_3D,type,
% 0.28/0.48 c_2Emin_2E_3D:
% 0.28/0.48 !>[A_27a: $tType] : ( A_27a > A_27a > $o ) ).
% 0.28/0.48
% 0.28/0.48 thf(c_2Equotient_2E_3D_3D_3D_3E,type,
% 0.28/0.48 c_2Equotient_2E_3D_3D_3D_3E:
% 0.28/0.48 !>[A_27a: $tType,A_27b: $tType] : ( ( A_27a > A_27a > $o ) > ( A_27b > A_27b > $o ) > ( A_27a > A_27b ) > ( A_27a > A_27b ) > $o ) ).
% 0.28/0.48
% 0.28/0.48 thf(c_2Emin_2E_3D_3D_3E,type,
% 0.28/0.48 c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 0.28/0.48
% 0.28/0.48 thf(c_2Ebool_2E_3F,type,
% 0.28/0.48 c_2Ebool_2E_3F:
% 0.28/0.48 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 0.28/0.48
% 0.28/0.48 thf(c_2Ebool_2EF,type,
% 0.28/0.48 c_2Ebool_2EF: $o ).
% 0.28/0.48
% 0.28/0.48 thf(c_2Equotient_2EQUOTIENT,type,
% 0.28/0.48 c_2Equotient_2EQUOTIENT:
% 0.28/0.48 !>[A_27a: $tType,A_27b: $tType] : ( ( A_27a > A_27a > $o ) > ( A_27a > A_27b ) > ( A_27b > A_27a ) > $o ) ).
% 0.28/0.48
% 0.28/0.48 thf(c_2Ebool_2ET,type,
% 0.28/0.48 c_2Ebool_2ET: $o ).
% 0.28/0.48
% 0.28/0.48 thf(c_2Ecombin_2EW,type,
% 0.28/0.48 c_2Ecombin_2EW:
% 0.28/0.48 !>[A_27a: $tType,A_27b: $tType] : ( ( A_27a > A_27a > A_27b ) > A_27a > A_27b ) ).
% 0.28/0.48
% 0.28/0.48 thf(c_2Ebool_2E_5C_2F,type,
% 0.28/0.48 c_2Ebool_2E_5C_2F: $o > $o > $o ).
% 0.28/0.48
% 0.28/0.48 thf(c_2Equotient_2Erespects,type,
% 0.28/0.48 c_2Equotient_2Erespects:
% 0.28/0.48 !>[A_27a: $tType,A_27b: $tType] : ( ( A_27a > A_27a > A_27b ) > A_27a > A_27b ) ).
% 0.28/0.48
% 0.28/0.48 thf(c_2Ebool_2E_7E,type,
% 0.28/0.48 c_2Ebool_2E_7E: $o > $o ).
% 0.28/0.48
% 0.28/0.48 thf(logicdef_2E_2F_5C,axiom,
% 0.28/0.48 ! [V0: $o,V1: $o] :
% 0.28/0.48 ( ( c_2Ebool_2E_2F_5C @ V0 @ V1 )
% 0.28/0.48 <=> ( V0
% 0.28/0.48 & V1 ) ) ).
% 0.28/0.48
% 0.28/0.48 thf(logicdef_2E_5C_2F,axiom,
% 0.28/0.48 ! [V0: $o,V1: $o] :
% 0.28/0.48 ( ( c_2Ebool_2E_5C_2F @ V0 @ V1 )
% 0.28/0.48 <=> ( V0
% 0.28/0.48 | V1 ) ) ).
% 0.28/0.48
% 0.28/0.48 thf(logicdef_2E_7E,axiom,
% 0.28/0.48 ! [V0: $o] :
% 0.28/0.48 ( ( c_2Ebool_2E_7E @ V0 )
% 0.28/0.48 <=> ( (~) @ V0 ) ) ).
% 0.28/0.48
% 0.28/0.48 thf(logicdef_2E_3D_3D_3E,axiom,
% 0.28/0.48 ! [V0: $o,V1: $o] :
% 0.28/0.48 ( ( c_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 0.28/0.48 <=> ( V0
% 0.28/0.48 => V1 ) ) ).
% 0.28/0.48
% 0.28/0.48 thf(logicdef_2E_3D,axiom,
% 0.28/0.48 ! [A_27a: $tType,V0: A_27a,V1: A_27a] :
% 0.28/0.48 ( ( c_2Emin_2E_3D @ A_27a @ V0 @ V1 )
% 0.28/0.48 <=> ( V0 = V1 ) ) ).
% 0.28/0.48
% 0.28/0.48 thf(quantdef_2E_21,axiom,
% 0.28/0.48 ! [A_27a: $tType,V0f: A_27a > $o] :
% 0.28/0.48 ( ( c_2Ebool_2E_21 @ A_27a @ V0f )
% 0.28/0.48 <=> ! [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 0.28/0.48
% 0.28/0.48 thf(quantdef_2E_3F,axiom,
% 0.28/0.48 ! [A_27a: $tType,V0f: A_27a > $o] :
% 0.28/0.48 ( ( c_2Ebool_2E_3F @ A_27a @ V0f )
% 0.28/0.48 <=> ? [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 0.28/0.48
% 0.28/0.48 thf(thm_2Ebool_2ETRUTH,axiom,
% 0.28/0.48 c_2Ebool_2ET ).
% 0.28/0.48
% 0.28/0.48 thf(thm_2Ebool_2EIMP__ANTISYM__AX,axiom,
% 0.28/0.48 ! [V0t1: $o,V1t2: $o] :
% 0.28/0.48 ( ( V0t1
% 0.28/0.48 => V1t2 )
% 0.28/0.48 => ( ( V1t2
% 0.28/0.48 => V0t1 )
% 0.28/0.48 => ( V0t1 = V1t2 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 thf(thm_2Ebool_2EAND__CLAUSES,axiom,
% 0.28/0.48 ! [V0t: $o] :
% 0.28/0.48 ( ( ( c_2Ebool_2ET
% 0.28/0.48 & V0t )
% 0.28/0.48 <=> V0t )
% 0.28/0.48 & ( ( V0t
% 0.28/0.48 & c_2Ebool_2ET )
% 0.28/0.48 <=> V0t )
% 0.28/0.48 & ( ( c_2Ebool_2EF
% 0.28/0.48 & V0t )
% 0.28/0.48 <=> c_2Ebool_2EF )
% 0.28/0.48 & ( ( V0t
% 0.28/0.48 & c_2Ebool_2EF )
% 0.28/0.48 <=> c_2Ebool_2EF )
% 0.28/0.48 & ( ( V0t
% 0.28/0.48 & V0t )
% 0.28/0.48 <=> V0t ) ) ).
% 0.28/0.48
% 0.28/0.48 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 0.28/0.48 ! [V0t: $o] :
% 0.28/0.48 ( ( ( c_2Ebool_2ET = V0t )
% 0.28/0.48 <=> V0t )
% 0.28/0.48 & ( ( V0t = c_2Ebool_2ET )
% 0.28/0.48 <=> V0t )
% 0.28/0.48 & ( ( c_2Ebool_2EF = V0t )
% 0.28/0.48 <=> ( (~) @ V0t ) )
% 0.28/0.48 & ( ( V0t = c_2Ebool_2EF )
% 0.28/0.48 <=> ( (~) @ V0t ) ) ) ).
% 0.28/0.48
% 0.28/0.48 thf(thm_2Ebool_2EAND__IMP__INTRO,axiom,
% 0.28/0.48 ! [V0t1: $o,V1t2: $o,V2t3: $o] :
% 0.28/0.48 ( ( V0t1
% 0.28/0.48 => ( V1t2
% 0.28/0.48 => V2t3 ) )
% 0.28/0.48 <=> ( ( V0t1
% 0.28/0.48 & V1t2 )
% 0.28/0.48 => V2t3 ) ) ).
% 0.28/0.48
% 0.28/0.48 thf(thm_2Ecombin_2EW__THM,axiom,
% 0.28/0.48 ! [A_27a: $tType,A_27b: $tType,V0f: A_27a > A_27a > A_27b,V1x: A_27a] :
% 0.28/0.48 ( ( c_2Ecombin_2EW @ A_27a @ A_27b @ V0f @ V1x )
% 0.28/0.48 = ( V0f @ V1x @ V1x ) ) ).
% 0.28/0.48
% 0.28/0.48 thf(thm_2Equotient_2EQUOTIENT__REL,axiom,
% 0.28/0.48 ! [A_27a: $tType,A_27b: $tType,V0R: A_27a > A_27a > $o,V1abs: A_27a > A_27b,V2rep: A_27b > A_27a] :
% 0.28/0.48 ( ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b @ V0R @ V1abs @ V2rep )
% 0.28/0.48 => ! [V3r: A_27a,V4s: A_27a] :
% 0.28/0.48 ( ( V0R @ V3r @ V4s )
% 0.28/0.48 <=> ( ( V0R @ V3r @ V3r )
% 0.28/0.48 & ( V0R @ V4s @ V4s )
% 0.28/0.48 & ( ( V1abs @ V3r )
% 0.28/0.48 = ( V1abs @ V4s ) ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 thf(thm_2Equotient_2EFUN__QUOTIENT,axiom,
% 0.28/0.48 ! [A_27a: $tType,A_27b: $tType,A_27c: $tType,A_27d: $tType,V0R1: A_27a > A_27a > $o,V1abs1: A_27a > A_27c,V2rep1: A_27c > A_27a] :
% 0.28/0.48 ( ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c @ V0R1 @ V1abs1 @ V2rep1 )
% 0.28/0.48 => ! [V3R2: A_27b > A_27b > $o,V4abs2: A_27b > A_27d,V5rep2: A_27d > A_27b] :
% 0.28/0.48 ( ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d @ V3R2 @ V4abs2 @ V5rep2 )
% 0.28/0.48 => ( c_2Equotient_2EQUOTIENT @ ( A_27a > A_27b ) @ ( A_27c > A_27d ) @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b @ V0R1 @ V3R2 ) @ ( c_2Equotient_2E_2D_2D_3E @ A_27c @ A_27b @ A_27a @ A_27d @ V2rep1 @ V4abs2 ) @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ A_27d @ A_27c @ A_27b @ V1abs1 @ V5rep2 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 thf(thm_2Equotient_2Erespects__def,axiom,
% 0.28/0.48 ! [A_27a: $tType,A_27b: $tType] :
% 0.28/0.48 ( ( c_2Equotient_2Erespects @ A_27a @ A_27b )
% 0.28/0.48 = ( c_2Ecombin_2EW @ A_27a @ A_27b ) ) ).
% 0.28/0.48
% 0.28/0.48 thf(thm_2Equotient_2EFUN__REL__EQ__REL,conjecture,
% 0.28/0.48 ! [A_27a: $tType,A_27b: $tType,A_27c: $tType,A_27d: $tType,V0R1: A_27a > A_27a > $o,V1abs1: A_27a > A_27c,V2rep1: A_27c > A_27a] :
% 0.28/0.48 ( ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c @ V0R1 @ V1abs1 @ V2rep1 )
% 0.28/0.48 => ! [V3R2: A_27b > A_27b > $o,V4abs2: A_27b > A_27d,V5rep2: A_27d > A_27b] :
% 0.28/0.48 ( ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d @ V3R2 @ V4abs2 @ V5rep2 )
% 0.28/0.48 => ! [V6f: A_27a > A_27b,V7g: A_27a > A_27b] :
% 0.28/0.48 ( ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b @ V0R1 @ V3R2 @ V6f @ V7g )
% 0.28/0.48 <=> ( ( c_2Equotient_2Erespects @ ( A_27a > A_27b ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b @ V0R1 @ V3R2 ) @ V6f )
% 0.28/0.48 & ( c_2Equotient_2Erespects @ ( A_27a > A_27b ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b @ V0R1 @ V3R2 ) @ V7g )
% 0.28/0.48 & ( ( c_2Equotient_2E_2D_2D_3E @ A_27c @ A_27b @ A_27a @ A_27d @ V2rep1 @ V4abs2 @ V6f )
% 0.28/0.48 = ( c_2Equotient_2E_2D_2D_3E @ A_27c @ A_27b @ A_27a @ A_27d @ V2rep1 @ V4abs2 @ V7g ) ) ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 %------------------------------------------------------------------------------
% 0.28/0.48 ------------------------
% 1.82/1.41 ---- Embedded in THF ---
% 1.82/1.42 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.82/1.42 %%% Generated on Tue Feb 24 08:19:09 EST 2026
% 1.82/1.42 %%% using '$$dhol' embedding, version 1.3.0.
% 1.82/1.42 %%% Logic specification used:
% 1.82/1.42 %%% thf(spec, logic, $$dhol).
% 1.82/1.42
% 1.82/1.42 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.m1C5hAK84D/DTF2DTF8796.p
% See solution above
% 1.82/1.42 ------------------------
% 1.82/1.43 ---- Cleaned THF ---
% 1.82/1.43 thf(tyop_2Emin_2Ebool,type,
% 1.82/1.43 tyop_2Emin_2Ebool: $tType ).
% 1.82/1.43
% 1.82/1.43 thf(tyop_2Emin_2Efun,type,
% 1.82/1.43 tyop_2Emin_2Efun: $tType > $tType > $tType ).
% 1.82/1.43
% 1.82/1.43 thf(c_2Ebool_2E_21,type,
% 1.82/1.43 c_2Ebool_2E_21:
% 1.82/1.43 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 1.82/1.43
% 1.82/1.43 thf(c_2Equotient_2E_2D_2D_3E,type,
% 1.82/1.43 c_2Equotient_2E_2D_2D_3E:
% 1.82/1.43 !>[A_27a: $tType,A_27b: $tType,A_27c: $tType,A_27d: $tType] : ( ( A_27a > A_27c ) > ( A_27b > A_27d ) > ( A_27c > A_27b ) > A_27a > A_27d ) ).
% 1.82/1.43
% 1.82/1.43 thf(c_2Ebool_2E_2F_5C,type,
% 1.82/1.43 c_2Ebool_2E_2F_5C: $o > $o > $o ).
% 1.82/1.43
% 1.82/1.43 thf(c_2Emin_2E_3D,type,
% 1.82/1.43 c_2Emin_2E_3D:
% 1.82/1.43 !>[A_27a: $tType] : ( A_27a > A_27a > $o ) ).
% 1.82/1.43
% 1.82/1.43 thf(c_2Equotient_2E_3D_3D_3D_3E,type,
% 1.82/1.43 c_2Equotient_2E_3D_3D_3D_3E:
% 1.82/1.43 !>[A_27a: $tType,A_27b: $tType] : ( ( A_27a > A_27a > $o ) > ( A_27b > A_27b > $o ) > ( A_27a > A_27b ) > ( A_27a > A_27b ) > $o ) ).
% 1.82/1.43
% 1.82/1.43 thf(c_2Emin_2E_3D_3D_3E,type,
% 1.82/1.43 c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 1.82/1.43
% 1.82/1.43 thf(c_2Ebool_2E_3F,type,
% 1.82/1.43 c_2Ebool_2E_3F:
% 1.82/1.43 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 1.82/1.43
% 1.82/1.43 thf(c_2Ebool_2EF,type,
% 1.82/1.43 c_2Ebool_2EF: $o ).
% 1.82/1.43
% 1.82/1.43 thf(c_2Equotient_2EQUOTIENT,type,
% 1.82/1.43 c_2Equotient_2EQUOTIENT:
% 1.82/1.43 !>[A_27a: $tType,A_27b: $tType] : ( ( A_27a > A_27a > $o ) > ( A_27a > A_27b ) > ( A_27b > A_27a ) > $o ) ).
% 1.82/1.43
% 1.82/1.43 thf(c_2Ebool_2ET,type,
% 1.82/1.43 c_2Ebool_2ET: $o ).
% 1.82/1.43
% 1.82/1.43 thf(c_2Ecombin_2EW,type,
% 1.82/1.43 c_2Ecombin_2EW:
% 1.82/1.43 !>[A_27a: $tType,A_27b: $tType] : ( ( A_27a > A_27a > A_27b ) > A_27a > A_27b ) ).
% 1.82/1.43
% 1.82/1.43 thf(c_2Ebool_2E_5C_2F,type,
% 1.82/1.43 c_2Ebool_2E_5C_2F: $o > $o > $o ).
% 1.82/1.43
% 1.82/1.43 thf(c_2Equotient_2Erespects,type,
% 1.82/1.43 c_2Equotient_2Erespects:
% 1.82/1.43 !>[A_27a: $tType,A_27b: $tType] : ( ( A_27a > A_27a > A_27b ) > A_27a > A_27b ) ).
% 1.82/1.43
% 1.82/1.43 thf(c_2Ebool_2E_7E,type,
% 1.82/1.43 c_2Ebool_2E_7E: $o > $o ).
% 1.82/1.43
% 1.82/1.43 thf(logicdef_2E_2F_5C,axiom,
% 1.82/1.43 ! [V0: $o,V1: $o] :
% 1.82/1.43 ( ( c_2Ebool_2E_2F_5C @ V0 @ V1 )
% 1.82/1.43 <=> ( V0
% 1.82/1.43 & V1 ) ) ).
% 1.82/1.43
% 1.82/1.43 thf(logicdef_2E_5C_2F,axiom,
% 1.82/1.43 ! [V0: $o,V1: $o] :
% 1.82/1.43 ( ( c_2Ebool_2E_5C_2F @ V0 @ V1 )
% 1.82/1.43 <=> ( V0
% 1.82/1.43 | V1 ) ) ).
% 1.82/1.43
% 1.82/1.43 thf(logicdef_2E_7E,axiom,
% 1.82/1.43 ! [V0: $o] :
% 1.82/1.43 ( ( c_2Ebool_2E_7E @ V0 )
% 1.82/1.43 <=> ( (~) @ V0 ) ) ).
% 1.82/1.43
% 1.82/1.43 thf(logicdef_2E_3D_3D_3E,axiom,
% 1.82/1.43 ! [V0: $o,V1: $o] :
% 1.82/1.43 ( ( c_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 1.82/1.43 <=> ( V0
% 1.82/1.43 => V1 ) ) ).
% 1.82/1.43
% 1.82/1.43 thf(logicdef_2E_3D,axiom,
% 1.82/1.43 ! [A_27a: $tType,V0: A_27a,V1: A_27a] :
% 1.82/1.43 ( ( c_2Emin_2E_3D @ A_27a @ V0 @ V1 )
% 1.82/1.43 <=> ( V0 = V1 ) ) ).
% 1.82/1.43
% 1.82/1.43 thf(quantdef_2E_21,axiom,
% 1.82/1.43 ! [A_27a: $tType,V0f: A_27a > $o] :
% 1.82/1.43 ( ( c_2Ebool_2E_21 @ A_27a @ V0f )
% 1.82/1.43 <=> ! [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 1.82/1.43
% 1.82/1.43 thf(quantdef_2E_3F,axiom,
% 1.82/1.43 ! [A_27a: $tType,V0f: A_27a > $o] :
% 1.82/1.43 ( ( c_2Ebool_2E_3F @ A_27a @ V0f )
% 1.82/1.43 <=> ? [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 1.82/1.43
% 1.82/1.43 thf(thm_2Ebool_2ETRUTH,axiom,
% 1.82/1.43 c_2Ebool_2ET ).
% 1.82/1.43
% 1.82/1.43 thf(thm_2Ebool_2EIMP__ANTISYM__AX,axiom,
% 1.82/1.43 ! [V0t1: $o,V1t2: $o] :
% 1.82/1.43 ( ( V0t1
% 1.82/1.43 => V1t2 )
% 1.82/1.43 => ( ( V1t2
% 1.82/1.43 => V0t1 )
% 1.82/1.43 => ( V0t1 = V1t2 ) ) ) ).
% 1.82/1.43
% 1.82/1.43 thf(thm_2Ebool_2EAND__CLAUSES,axiom,
% 1.82/1.43 ! [V0t: $o] :
% 1.82/1.43 ( ( ( c_2Ebool_2ET
% 1.82/1.43 & V0t )
% 1.82/1.43 <=> V0t )
% 1.82/1.43 & ( ( V0t
% 1.82/1.43 & c_2Ebool_2ET )
% 1.82/1.43 <=> V0t )
% 1.82/1.43 & ( ( c_2Ebool_2EF
% 1.82/1.43 & V0t )
% 1.82/1.43 <=> c_2Ebool_2EF )
% 1.82/1.43 & ( ( V0t
% 1.82/1.43 & c_2Ebool_2EF )
% 1.82/1.43 <=> c_2Ebool_2EF )
% 1.82/1.43 & ( ( V0t
% 1.82/1.43 & V0t )
% 1.82/1.43 <=> V0t ) ) ).
% 1.82/1.43
% 1.82/1.43 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 1.82/1.43 ! [V0t: $o] :
% 1.82/1.43 ( ( ( c_2Ebool_2ET = V0t )
% 1.82/1.43 <=> V0t )
% 1.82/1.43 & ( ( V0t = c_2Ebool_2ET )
% 1.82/1.43 <=> V0t )
% 1.82/1.43 & ( ( c_2Ebool_2EF = V0t )
% 1.82/1.43 <=> ( (~) @ V0t ) )
% 1.82/1.43 & ( ( V0t = c_2Ebool_2EF )
% 1.82/1.43 <=> ( (~) @ V0t ) ) ) ).
% 1.82/1.43
% 1.82/1.43 thf(thm_2Ebool_2EAND__IMP__INTRO,axiom,
% 1.82/1.43 ! [V0t1: $o,V1t2: $o,V2t3: $o] :
% 1.82/1.43 ( ( V0t1
% 1.82/1.43 => ( V1t2
% 1.82/1.43 => V2t3 ) )
% 1.82/1.43 <=> ( ( V0t1
% 1.82/1.43 & V1t2 )
% 1.82/1.43 => V2t3 ) ) ).
% 1.82/1.43
% 1.82/1.43 thf(thm_2Ecombin_2EW__THM,axiom,
% 1.82/1.43 ! [A_27a: $tType,A_27b: $tType,V0f: A_27a > A_27a > A_27b,V1x: A_27a] :
% 1.82/1.43 ( ( c_2Ecombin_2EW @ A_27a @ A_27b @ V0f @ V1x )
% 1.82/1.43 = ( V0f @ V1x @ V1x ) ) ).
% 1.82/1.43
% 1.82/1.43 thf(thm_2Equotient_2EQUOTIENT__REL,axiom,
% 1.82/1.43 ! [A_27a: $tType,A_27b: $tType,V0R: A_27a > A_27a > $o,V1abs: A_27a > A_27b,V2rep: A_27b > A_27a] :
% 1.82/1.43 ( ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b @ V0R @ V1abs @ V2rep )
% 1.82/1.43 => ! [V3r: A_27a,V4s: A_27a] :
% 1.82/1.43 ( ( V0R @ V3r @ V4s )
% 1.82/1.43 <=> ( ( V0R @ V3r @ V3r )
% 1.82/1.43 & ( V0R @ V4s @ V4s )
% 1.82/1.43 & ( ( V1abs @ V3r )
% 1.82/1.43 = ( V1abs @ V4s ) ) ) ) ) ).
% 1.82/1.43
% 1.82/1.43 thf(thm_2Equotient_2EFUN__QUOTIENT,axiom,
% 1.82/1.43 ! [A_27a: $tType,A_27b: $tType,A_27c: $tType,A_27d: $tType,V0R1: A_27a > A_27a > $o,V1abs1: A_27a > A_27c,V2rep1: A_27c > A_27a] :
% 1.82/1.43 ( ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c @ V0R1 @ V1abs1 @ V2rep1 )
% 1.82/1.43 => ! [V3R2: A_27b > A_27b > $o,V4abs2: A_27b > A_27d,V5rep2: A_27d > A_27b] :
% 1.82/1.43 ( ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d @ V3R2 @ V4abs2 @ V5rep2 )
% 1.82/1.43 => ( c_2Equotient_2EQUOTIENT @ ( A_27a > A_27b ) @ ( A_27c > A_27d ) @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b @ V0R1 @ V3R2 ) @ ( c_2Equotient_2E_2D_2D_3E @ A_27c @ A_27b @ A_27a @ A_27d @ V2rep1 @ V4abs2 ) @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ A_27d @ A_27c @ A_27b @ V1abs1 @ V5rep2 ) ) ) ) ).
% 1.82/1.43
% 1.82/1.43 thf(thm_2Equotient_2Erespects__def,axiom,
% 1.82/1.43 ! [A_27a: $tType,A_27b: $tType] :
% 1.82/1.43 ( ( c_2Equotient_2Erespects @ A_27a @ A_27b )
% 1.82/1.43 = ( c_2Ecombin_2EW @ A_27a @ A_27b ) ) ).
% 1.82/1.43
% 1.82/1.43 thf(thm_2Equotient_2EFUN__REL__EQ__REL,conjecture,
% 1.82/1.43 ! [A_27a: $tType,A_27b: $tType,A_27c: $tType,A_27d: $tType,V0R1: A_27a > A_27a > $o,V1abs1: A_27a > A_27c,V2rep1: A_27c > A_27a] :
% 1.82/1.43 ( ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c @ V0R1 @ V1abs1 @ V2rep1 )
% 1.82/1.43 => ! [V3R2: A_27b > A_27b > $o,V4abs2: A_27b > A_27d,V5rep2: A_27d > A_27b] :
% 1.82/1.43 ( ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d @ V3R2 @ V4abs2 @ V5rep2 )
% 1.82/1.43 => ! [V6f: A_27a > A_27b,V7g: A_27a > A_27b] :
% 1.82/1.43 ( ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b @ V0R1 @ V3R2 @ V6f @ V7g )
% 1.82/1.43 <=> ( ( c_2Equotient_2Erespects @ ( A_27a > A_27b ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b @ V0R1 @ V3R2 ) @ V6f )
% 1.82/1.43 & ( c_2Equotient_2Erespects @ ( A_27a > A_27b ) @ $o @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b @ V0R1 @ V3R2 ) @ V7g )
% 1.82/1.43 & ( ( c_2Equotient_2E_2D_2D_3E @ A_27c @ A_27b @ A_27a @ A_27d @ V2rep1 @ V4abs2 @ V6f )
% 1.82/1.43 = ( c_2Equotient_2E_2D_2D_3E @ A_27c @ A_27b @ A_27a @ A_27d @ V2rep1 @ V4abs2 @ V7g ) ) ) ) ) ) ).
% 1.82/1.43 ------------------------
% 1.82/1.44 % (8912)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/4Mi)
% 1.82/1.44 % (8913)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/27Mi)
% 1.82/1.44 % (8915)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/2Mi)
% 1.82/1.44 % (8912)Instruction limit reached!
% 1.82/1.44 % (8912)------------------------------
% 1.82/1.44 % (8912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.82/1.44 % (8912)Termination reason: Unknown
% 1.82/1.44 % (8912)Termination phase: Preprocessing 1
% 1.82/1.44
% 1.82/1.44 % (8912)Memory used [KB]: 1023
% 1.82/1.44 % (8912)Time elapsed: 0.003 s
% 1.82/1.44 % (8912)Instructions burned: 5 (million)
% 1.82/1.44 % (8912)------------------------------
% 1.82/1.44 % (8912)------------------------------
% 1.82/1.44 % (8915)Instruction limit reached!
% 1.82/1.44 % (8915)------------------------------
% 1.82/1.44 % (8915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.82/1.44 % (8915)Termination reason: Unknown
% 1.82/1.44 % (8915)Termination phase: shuffling
% 1.82/1.44
% 1.82/1.44 % (8915)Memory used [KB]: 1023
% 1.82/1.44 % (8915)Time elapsed: 0.002 s
% 1.82/1.44 % (8915)Instructions burned: 3 (million)
% 1.82/1.44 % (8915)------------------------------
% 1.82/1.44 % (8915)------------------------------
% 1.82/1.45 % (8911)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/183Mi)
% 1.82/1.45 % (8914)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/2Mi)
% 1.82/1.45 % (8917)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/18Mi)
% 1.82/1.45 % (8916)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/275Mi)
% 1.82/1.45 % (8914)Instruction limit reached!
% 1.82/1.45 % (8914)------------------------------
% 1.82/1.45 % (8914)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.82/1.45 % (8914)Termination reason: Unknown
% 1.82/1.45 % (8914)Termination phase: shuffling
% 1.82/1.45
% 1.82/1.45 % (8914)Memory used [KB]: 1023
% 1.82/1.45 % (8914)Time elapsed: 0.003 s
% 1.82/1.45 % (8914)Instructions burned: 2 (million)
% 1.82/1.45 % (8914)------------------------------
% 1.82/1.45 % (8914)------------------------------
% 1.82/1.45 % (8918)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/3Mi)
% 1.82/1.45 % (8913)Instruction limit reached!
% 1.82/1.45 % (8913)------------------------------
% 1.82/1.45 % (8913)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.82/1.45 % (8913)Termination reason: Unknown
% 1.82/1.45 % (8913)Termination phase: Saturation
% 1.82/1.45
% 1.82/1.45 % (8913)Memory used [KB]: 5756
% 1.82/1.45 % (8913)Time elapsed: 0.012 s
% 1.82/1.45 % (8913)Instructions burned: 28 (million)
% 1.82/1.45 % (8913)------------------------------
% 1.82/1.45 % (8913)------------------------------
% 1.82/1.45 % (8918)Instruction limit reached!
% 1.82/1.45 % (8918)------------------------------
% 1.82/1.45 % (8918)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.82/1.45 % (8918)Termination reason: Unknown
% 1.82/1.45 % (8918)Termination phase: Preprocessing 3
% 1.82/1.45
% 1.82/1.45 % (8919)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/37Mi)
% 1.82/1.45 % (8918)Memory used [KB]: 1023
% 1.82/1.45 % (8918)Time elapsed: 0.002 s
% 1.82/1.45 % (8918)Instructions burned: 3 (million)
% 1.82/1.45 % (8918)------------------------------
% 1.82/1.45 % (8918)------------------------------
% 1.82/1.46 % Exception at run slice level
% 1.82/1.46 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.82/1.46 % (8917)Instruction limit reached!
% 1.82/1.46 % (8917)------------------------------
% 1.82/1.46 % (8917)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.82/1.46 % (8917)Termination reason: Unknown
% 1.82/1.46 % (8917)Termination phase: Saturation
% 1.82/1.46
% 1.82/1.46 % (8917)Memory used [KB]: 5628
% 1.82/1.46 % (8917)Time elapsed: 0.014 s
% 1.82/1.46 % (8917)Instructions burned: 19 (million)
% 1.82/1.46 % (8917)------------------------------
% 1.82/1.46 % (8917)------------------------------
% 1.82/1.46 % (8922)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/1041Mi)
% 1.82/1.46 % (8921)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/3Mi)
% 1.82/1.46 % Exception at run slice level
% 1.82/1.46 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.82/1.47 % (8921)Instruction limit reached!
% 1.82/1.47 % (8921)------------------------------
% 1.82/1.47 % (8921)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.82/1.47 % (8921)Termination reason: Unknown
% 1.82/1.47 % (8921)Termination phase: Preprocessing 3
% 1.82/1.47
% 1.82/1.47 % (8921)Memory used [KB]: 1023
% 1.82/1.47 % (8921)Time elapsed: 0.002 s
% 1.82/1.47 % (8921)Instructions burned: 3 (million)
% 1.82/1.47 % (8921)------------------------------
% 1.82/1.47 % (8921)------------------------------
% 1.82/1.47 % (8920)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/15Mi)
% 1.82/1.47 % (8923)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/7Mi)
% 1.82/1.47 % (8925)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/3Mi)
% 1.82/1.47 % (8923)Instruction limit reached!
% 1.82/1.47 % (8923)------------------------------
% 1.82/1.47 % (8923)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.82/1.47 % (8923)Termination reason: Unknown
% 1.82/1.47 % (8923)Termination phase: Function definition elimination
% 1.82/1.47
% 1.82/1.47 % (8923)Memory used [KB]: 1023
% 1.82/1.47 % (8923)Time elapsed: 0.005 s
% 1.82/1.47 % (8923)Instructions burned: 7 (million)
% 1.82/1.47 % (8923)------------------------------
% 1.82/1.47 % (8923)------------------------------
% 1.82/1.48 % (8926)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/3Mi)
% 1.82/1.48 % (8925)Instruction limit reached!
% 1.82/1.48 % (8925)------------------------------
% 1.82/1.48 % (8925)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.82/1.48 % (8925)Termination reason: Unknown
% 1.82/1.48 % (8925)Termination phase: Preprocessing 3
% 1.82/1.48
% 1.82/1.48 % (8925)Memory used [KB]: 1023
% 1.82/1.48 % (8925)Time elapsed: 0.003 s
% 1.82/1.48 % (8925)Instructions burned: 6 (million)
% 1.82/1.48 % (8925)------------------------------
% 1.82/1.48 % (8925)------------------------------
% 1.82/1.48 % (8926)Instruction limit reached!
% 1.82/1.48 % (8926)------------------------------
% 1.82/1.48 % (8926)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.82/1.48 % (8926)Termination reason: Unknown
% 1.82/1.48 % (8926)Termination phase: Preprocessing 3
% 1.82/1.48
% 1.82/1.48 % (8926)Memory used [KB]: 1023
% 1.82/1.48 % (8926)Time elapsed: 0.002 s
% 1.82/1.48 % (8926)Instructions burned: 3 (million)
% 1.82/1.48 % (8926)------------------------------
% 1.82/1.48 % (8926)------------------------------
% 1.82/1.48 % (8920)Instruction limit reached!
% 1.82/1.48 % (8920)------------------------------
% 1.82/1.48 % (8920)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.82/1.48 % (8920)Termination reason: Unknown
% 1.82/1.48 % (8920)Termination phase: Saturation
% 1.82/1.48
% 1.82/1.48 % (8920)Memory used [KB]: 5756
% 1.82/1.48 % (8920)Time elapsed: 0.011 s
% 1.82/1.48 % (8920)Instructions burned: 15 (million)
% 1.82/1.48 % (8920)------------------------------
% 1.82/1.48 % (8920)------------------------------
% 1.82/1.48 % (8924)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/16Mi)
% 1.82/1.48 % (8927)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/7Mi)
% 1.82/1.49 % (8928)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/3Mi)
% 1.82/1.49 % (8928)Instruction limit reached!
% 1.82/1.49 % (8928)------------------------------
% 1.82/1.49 % (8928)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.82/1.49 % (8928)Termination reason: Unknown
% 1.82/1.49 % (8928)Termination phase: shuffling
% 1.82/1.49
% 1.82/1.49 % (8928)Memory used [KB]: 1023
% 1.82/1.49 % (8928)Time elapsed: 0.002 s
% 1.82/1.49 % (8928)Instructions burned: 4 (million)
% 1.82/1.49 % (8928)------------------------------
% 1.82/1.49 % (8928)------------------------------
% 1.82/1.49 % (8927)Instruction limit reached!
% 1.82/1.49 % (8927)------------------------------
% 1.82/1.49 % (8927)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.82/1.49 % (8927)Termination reason: Unknown
% 1.82/1.49 % (8927)Termination phase: Function definition elimination
% 1.82/1.49
% 1.82/1.49 % (8927)Memory used [KB]: 1023
% 1.82/1.49 % (8927)Time elapsed: 0.004 s
% 1.82/1.49 % (8927)Instructions burned: 7 (million)
% 1.82/1.49 % (8929)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/4Mi)
% 1.82/1.49 % (8927)------------------------------
% 1.82/1.49 % (8927)------------------------------
% 1.82/1.49 % (8929)Instruction limit reached!
% 1.82/1.49 % (8929)------------------------------
% 1.82/1.49 % (8929)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.82/1.49 % (8929)Termination reason: Unknown
% 1.82/1.49 % (8929)Termination phase: Preprocessing 3
% 1.82/1.49
% 1.82/1.49 % (8929)Memory used [KB]: 1023
% 1.82/1.49 % (8929)Time elapsed: 0.003 s
% 1.82/1.49 % (8929)Instructions burned: 4 (million)
% 1.82/1.49 % (8929)------------------------------
% 1.82/1.49 % (8929)------------------------------
% 1.82/1.49 % (8924)Instruction limit reached!
% 1.82/1.49 % (8924)------------------------------
% 1.82/1.49 % (8924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.82/1.49 % (8924)Termination reason: Unknown
% 1.82/1.49 % (8924)Termination phase: Saturation
% 1.82/1.49
% 1.82/1.49 % (8924)Memory used [KB]: 5756
% 1.82/1.49 % (8924)Time elapsed: 0.013 s
% 1.82/1.49 % (8924)Instructions burned: 17 (million)
% 1.82/1.49 % (8924)------------------------------
% 1.82/1.49 % (8924)------------------------------
% 1.82/1.50 % (8931)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/710Mi)
% 1.82/1.50 % (8930)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/18Mi)
% 1.88/1.50 % (8932)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/6Mi)
% 1.88/1.50 % (8933)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/902Mi)
% 1.88/1.50 % (8932)Instruction limit reached!
% 1.88/1.50 % (8932)------------------------------
% 1.88/1.50 % (8932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.50 % (8932)Termination reason: Unknown
% 1.88/1.50 % (8932)Termination phase: Equality resolution with deletion
% 1.88/1.50
% 1.88/1.50 % (8932)Memory used [KB]: 1023
% 1.88/1.50 % (8932)Time elapsed: 0.004 s
% 1.88/1.50 % (8932)Instructions burned: 7 (million)
% 1.88/1.50 % (8932)------------------------------
% 1.88/1.50 % (8932)------------------------------
% 1.88/1.51 % (8930)Instruction limit reached!
% 1.88/1.51 % (8930)------------------------------
% 1.88/1.51 % (8930)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.51 % (8930)Termination reason: Unknown
% 1.88/1.51 % (8930)Termination phase: Saturation
% 1.88/1.51
% 1.88/1.51 % (8930)Memory used [KB]: 5628
% 1.88/1.51 % (8930)Time elapsed: 0.013 s
% 1.88/1.51 % (8930)Instructions burned: 18 (million)
% 1.88/1.51 % (8930)------------------------------
% 1.88/1.51 % (8930)------------------------------
% 1.88/1.51 % (8934)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/21Mi)
% 1.88/1.51 % (8935)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/5Mi)
% 1.88/1.51 % Exception at run slice level
% 1.88/1.51 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.52 % (8937)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/377Mi)
% 1.88/1.52 % (8934)Instruction limit reached!
% 1.88/1.52 % (8934)------------------------------
% 1.88/1.52 % (8934)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.52 % (8934)Termination reason: Unknown
% 1.88/1.52 % (8934)Termination phase: Saturation
% 1.88/1.52
% 1.88/1.52 % (8934)Memory used [KB]: 5884
% 1.88/1.52 % (8934)Time elapsed: 0.016 s
% 1.88/1.52 % (8934)Instructions burned: 22 (million)
% 1.88/1.52 % (8934)------------------------------
% 1.88/1.52 % (8934)------------------------------
% 1.88/1.52 % (8936)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/6Mi)
% 1.88/1.53 % Exception at run slice level
% 1.88/1.53 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.54 % (8938)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/779Mi)
% 1.88/1.54 % Exception at run slice level
% 1.88/1.54 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.54 % (8939)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/19Mi)
% 1.88/1.54 % Exception at run slice level
% 1.88/1.54 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.55 % (8940)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_8796 for (2999ds/879Mi)
% 1.88/1.55 % (8911)Instruction limit reached!
% 1.88/1.55 % (8911)------------------------------
% 1.88/1.55 % (8911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.55 % (8911)Termination reason: Unknown
% 1.88/1.55 % (8911)Termination phase: Saturation
% 1.88/1.55
% 1.88/1.55 % (8911)Memory used [KB]: 6908
% 1.88/1.55 % (8911)Time elapsed: 0.105 s
% 1.88/1.55 % (8911)Instructions burned: 185 (million)
% 1.88/1.55 % (8911)------------------------------
% 1.88/1.55 % (8911)------------------------------
% 1.88/1.55 % (8941)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_8796 for (2998ds/17Mi)
% 1.88/1.56 % (8941)Instruction limit reached!
% 1.88/1.56 % (8941)------------------------------
% 1.88/1.56 % (8941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.56 % (8941)Termination reason: Unknown
% 1.88/1.56 % (8941)Termination phase: Saturation
% 1.88/1.56
% 1.88/1.56 % (8941)Memory used [KB]: 5756
% 1.88/1.56 % (8941)Time elapsed: 0.009 s
% 1.88/1.56 % (8941)Instructions burned: 19 (million)
% 1.88/1.56 % (8941)------------------------------
% 1.88/1.56 % (8941)------------------------------
% 1.88/1.56 % (8942)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_8796 for (2998ds/3Mi)
% 1.88/1.57 % (8942)Instruction limit reached!
% 1.88/1.57 % (8942)------------------------------
% 1.88/1.57 % (8942)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.57 % (8942)Termination reason: Unknown
% 1.88/1.57 % (8942)Termination phase: Preprocessing 3
% 1.88/1.57
% 1.88/1.57 % (8942)Memory used [KB]: 1023
% 1.88/1.57 % (8942)Time elapsed: 0.003 s
% 1.88/1.57 % (8942)Instructions burned: 5 (million)
% 1.88/1.57 % (8942)------------------------------
% 1.88/1.57 % (8942)------------------------------
% 1.88/1.57 % (8943)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_8796 for (2998ds/30Mi)
% 1.88/1.57 % (8916)Instruction limit reached!
% 1.88/1.57 % (8916)------------------------------
% 1.88/1.57 % (8916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.57 % (8916)Termination reason: Unknown
% 1.88/1.57 % (8916)Termination phase: Saturation
% 1.88/1.57
% 1.88/1.57 % (8916)Memory used [KB]: 6140
% 1.88/1.57 % (8916)Time elapsed: 0.125 s
% 1.88/1.57 % (8916)Instructions burned: 275 (million)
% 1.88/1.57 % (8916)------------------------------
% 1.88/1.57 % (8916)------------------------------
% 1.88/1.58 % (8944)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_8796 for (2998ds/127Mi)
% 1.88/1.58 % (8943)Instruction limit reached!
% 1.88/1.58 % (8943)------------------------------
% 1.88/1.58 % (8943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.58 % (8943)Termination reason: Unknown
% 1.88/1.58 % (8943)Termination phase: Saturation
% 1.88/1.58
% 1.88/1.58 % (8943)Memory used [KB]: 5756
% 1.88/1.58 % (8943)Time elapsed: 0.012 s
% 1.88/1.58 % (8943)Instructions burned: 30 (million)
% 1.88/1.58 % (8943)------------------------------
% 1.88/1.58 % (8943)------------------------------
% 1.88/1.58 % (8945)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_8796 for (2998ds/100Mi)
% 1.88/1.59 % (8946)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_8796 for (2998ds/3Mi)
% 1.88/1.59 % (8946)Instruction limit reached!
% 1.88/1.59 % (8946)------------------------------
% 1.88/1.59 % (8946)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.59 % (8946)Termination reason: Unknown
% 1.88/1.59 % (8946)Termination phase: shuffling
% 1.88/1.59
% 1.88/1.59 % (8946)Memory used [KB]: 1023
% 1.88/1.59 % (8946)Time elapsed: 0.002 s
% 1.88/1.59 % (8946)Instructions burned: 3 (million)
% 1.88/1.59 % (8946)------------------------------
% 1.88/1.59 % (8946)------------------------------
% 1.88/1.60 % (8947)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_8796 for (2998ds/20Mi)
% 1.88/1.61 % (8947)Instruction limit reached!
% 1.88/1.61 % (8947)------------------------------
% 1.88/1.61 % (8947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.61 % (8947)Termination reason: Unknown
% 1.88/1.61 % (8947)Termination phase: Saturation
% 1.88/1.61
% 1.88/1.61 % (8947)Memory used [KB]: 5756
% 1.88/1.61 % (8947)Time elapsed: 0.009 s
% 1.88/1.61 % (8947)Instructions burned: 21 (million)
% 1.88/1.61 % (8947)------------------------------
% 1.88/1.61 % (8947)------------------------------
% 1.88/1.62 % (8945)Instruction limit reached!
% 1.88/1.62 % (8945)------------------------------
% 1.88/1.62 % (8945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.62 % (8945)Termination reason: Unknown
% 1.88/1.62 % (8945)Termination phase: Saturation
% 1.88/1.62
% 1.88/1.62 % (8945)Memory used [KB]: 6012
% 1.88/1.62 % (8945)Time elapsed: 0.033 s
% 1.88/1.62 % (8945)Instructions burned: 100 (million)
% 1.88/1.62 % (8945)------------------------------
% 1.88/1.62 % (8945)------------------------------
% 1.88/1.62 % (8944)Instruction limit reached!
% 1.88/1.62 % (8944)------------------------------
% 1.88/1.62 % (8944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.62 % (8944)Termination reason: Unknown
% 1.88/1.62 % (8944)Termination phase: Saturation
% 1.88/1.62
% 1.88/1.62 % (8944)Memory used [KB]: 6396
% 1.88/1.62 % (8944)Time elapsed: 0.046 s
% 1.88/1.62 % (8944)Instructions burned: 129 (million)
% 1.88/1.62 % (8944)------------------------------
% 1.88/1.62 % (8944)------------------------------
% 1.88/1.62 % (8948)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_8796 for (2998ds/86Mi)
% 1.88/1.63 % (8949)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_8796 for (2998ds/107Mi)
% 1.88/1.63 % (8950)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_8796 for (2998ds/39Mi)
% 1.88/1.63 % Exception at run slice level
% 1.88/1.63 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.64 % (8951)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_8796 for (2998ds/448Mi)
% 1.88/1.64 % Exception at run slice level
% 1.88/1.64 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.65 % (8948)Instruction limit reached!
% 1.88/1.65 % (8948)------------------------------
% 1.88/1.65 % (8948)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.65 % (8948)Termination reason: Unknown
% 1.88/1.65 % (8948)Termination phase: Saturation
% 1.88/1.65
% 1.88/1.65 % (8948)Memory used [KB]: 6012
% 1.88/1.65 % (8948)Time elapsed: 0.031 s
% 1.88/1.65 % (8948)Instructions burned: 86 (million)
% 1.88/1.65 % (8948)------------------------------
% 1.88/1.65 % (8948)------------------------------
% 1.88/1.65 % (8952)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_8796 for (2998ds/46Mi)
% 1.88/1.65 % (8937)Instruction limit reached!
% 1.88/1.65 % (8937)------------------------------
% 1.88/1.65 % (8937)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.65 % (8937)Termination reason: Unknown
% 1.88/1.65 % (8937)Termination phase: Saturation
% 1.88/1.65
% 1.88/1.65 % (8937)Memory used [KB]: 6268
% 1.88/1.65 % (8937)Time elapsed: 0.135 s
% 1.88/1.65 % (8937)Instructions burned: 379 (million)
% 1.88/1.65 % (8937)------------------------------
% 1.88/1.65 % (8937)------------------------------
% 1.88/1.66 % (8953)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_8796 for (2997ds/98Mi)
% 1.88/1.66 % (8954)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_8796 for (2997ds/507Mi)
% 1.88/1.66 % Exception at run slice level
% 1.88/1.66 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.67 % (8949)Instruction limit reached!
% 1.88/1.67 % (8949)------------------------------
% 1.88/1.67 % (8949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.67 % (8949)Termination reason: Unknown
% 1.88/1.67 % (8949)Termination phase: Saturation
% 1.88/1.67
% 1.88/1.67 % (8949)Memory used [KB]: 6140
% 1.88/1.67 % (8949)Time elapsed: 0.039 s
% 1.88/1.67 % (8949)Instructions burned: 107 (million)
% 1.88/1.67 % (8949)------------------------------
% 1.88/1.67 % (8949)------------------------------
% 1.88/1.67 % (8952)Instruction limit reached!
% 1.88/1.67 % (8952)------------------------------
% 1.88/1.67 % (8952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.67 % (8952)Termination reason: Unknown
% 1.88/1.67 % (8952)Termination phase: Saturation
% 1.88/1.67
% 1.88/1.67 % (8952)Memory used [KB]: 5884
% 1.88/1.67 % (8952)Time elapsed: 0.019 s
% 1.88/1.67 % (8952)Instructions burned: 46 (million)
% 1.88/1.67 % (8952)------------------------------
% 1.88/1.67 % (8952)------------------------------
% 1.88/1.68 % (8958)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_8796 for (2997ds/149Mi)
% 1.88/1.68 % (8959)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_8796 for (2997ds/39Mi)
% 1.88/1.68 % (8960)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_8796 for (2997ds/6Mi)
% 1.88/1.69 % Exception at run slice level
% 1.88/1.69 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.69 % (8959)Instruction limit reached!
% 1.88/1.69 % (8959)------------------------------
% 1.88/1.69 % (8959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.69 % (8959)Termination reason: Unknown
% 1.88/1.69 % (8959)Termination phase: Saturation
% 1.88/1.69
% 1.88/1.69 % (8959)Memory used [KB]: 5756
% 1.88/1.69 % (8959)Time elapsed: 0.039 s
% 1.88/1.69 % (8959)Instructions burned: 39 (million)
% 1.88/1.69 % (8959)------------------------------
% 1.88/1.69 % (8959)------------------------------
% 1.88/1.70 % (8969)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_8796 for (2997ds/1087Mi)
% 1.88/1.70 % (8976)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_8796 for (2997ds/47Mi)
% 1.88/1.71 % (8931)Instruction limit reached!
% 1.88/1.71 % (8931)------------------------------
% 1.88/1.71 % (8931)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.71 % (8931)Termination reason: Unknown
% 1.88/1.71 % (8931)Termination phase: Saturation
% 1.88/1.71
% 1.88/1.71 % (8931)Memory used [KB]: 9850
% 1.88/1.71 % (8931)Time elapsed: 0.216 s
% 1.88/1.71 % (8931)Instructions burned: 712 (million)
% 1.88/1.71 % (8931)------------------------------
% 1.88/1.71 % (8931)------------------------------
% 1.88/1.72 % (8976)Instruction limit reached!
% 1.88/1.72 % (8976)------------------------------
% 1.88/1.72 % (8976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.72 % (8976)Termination reason: Unknown
% 1.88/1.72 % (8976)Termination phase: Saturation
% 1.88/1.72
% 1.88/1.72 % (8976)Memory used [KB]: 5756
% 1.88/1.72 % (8976)Time elapsed: 0.019 s
% 1.88/1.72 % (8976)Instructions burned: 47 (million)
% 1.88/1.72 % (8976)------------------------------
% 1.88/1.72 % (8976)------------------------------
% 1.88/1.72 % (8977)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_8796 for (2997ds/44Mi)
% 1.88/1.72 % Exception at run slice level
% 1.88/1.72 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.73 % (8958)Instruction limit reached!
% 1.88/1.73 % (8958)------------------------------
% 1.88/1.73 % (8958)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.73 % (8958)Termination reason: Unknown
% 1.88/1.73 % (8958)Termination phase: Saturation
% 1.88/1.73
% 1.88/1.73 % (8958)Memory used [KB]: 6396
% 1.88/1.73 % (8958)Time elapsed: 0.077 s
% 1.88/1.73 % (8958)Instructions burned: 151 (million)
% 1.88/1.73 % (8958)------------------------------
% 1.88/1.73 % (8958)------------------------------
% 1.88/1.73 % (8978)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_8796 for (2997ds/432Mi)
% 1.88/1.73 % Exception at run slice level
% 1.88/1.73 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.73 % (8979)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_8796 for (2997ds/62Mi)
% 1.88/1.73 % Exception at run slice level
% 1.88/1.73 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.74 % (8980)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_8796 for (2997ds/31Mi)
% 1.88/1.74 % (8981)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_8796 for (2997ds/96Mi)
% 1.88/1.74 % (8982)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_8796 for (2997ds/453Mi)
% 1.88/1.74 % Exception at run slice level
% 1.88/1.74 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.75 % (8980)Instruction limit reached!
% 1.88/1.75 % (8980)------------------------------
% 1.88/1.75 % (8980)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.75 % (8980)Termination reason: Unknown
% 1.88/1.75 % (8980)Termination phase: Saturation
% 1.88/1.75
% 1.88/1.75 % (8980)Memory used [KB]: 5756
% 1.88/1.75 % (8980)Time elapsed: 0.014 s
% 1.88/1.75 % (8980)Instructions burned: 32 (million)
% 1.88/1.75 % (8980)------------------------------
% 1.88/1.75 % (8980)------------------------------
% 1.88/1.75 % (8983)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_8796 for (2996ds/71Mi)
% 1.88/1.76 % (8984)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_8796 for (2996ds/83Mi)
% 1.88/1.78 % (8981)Instruction limit reached!
% 1.88/1.78 % (8981)------------------------------
% 1.88/1.78 % (8981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.78 % (8981)Termination reason: Unknown
% 1.88/1.78 % (8981)Termination phase: Saturation
% 1.88/1.78
% 1.88/1.78 % (8981)Memory used [KB]: 6012
% 1.88/1.78 % (8981)Time elapsed: 0.036 s
% 1.88/1.78 % (8981)Instructions burned: 96 (million)
% 1.88/1.78 % (8981)------------------------------
% 1.88/1.78 % (8981)------------------------------
% 1.88/1.78 % (8983)Instruction limit reached!
% 1.88/1.78 % (8983)------------------------------
% 1.88/1.78 % (8983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.78 % (8983)Termination reason: Unknown
% 1.88/1.78 % (8983)Termination phase: Saturation
% 1.88/1.78
% 1.88/1.78 % (8983)Memory used [KB]: 5884
% 1.88/1.78 % (8983)Time elapsed: 0.026 s
% 1.88/1.78 % (8983)Instructions burned: 73 (million)
% 1.88/1.78 % (8983)------------------------------
% 1.88/1.78 % (8983)------------------------------
% 1.88/1.79 % (8986)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_8796 for (2996ds/41Mi)
% 1.88/1.79 % (8985)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_8796 for (2996ds/11Mi)
% 1.88/1.79 % Exception at run slice level
% 1.88/1.79 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.79 % Exception at run slice level
% 1.88/1.79 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.79 % (8984)Instruction limit reached!
% 1.88/1.79 % (8984)------------------------------
% 1.88/1.79 % (8984)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.79 % (8984)Termination reason: Unknown
% 1.88/1.79 % (8984)Termination phase: Saturation
% 1.88/1.79
% 1.88/1.79 % (8984)Memory used [KB]: 6268
% 1.88/1.79 % (8984)Time elapsed: 0.029 s
% 1.88/1.79 % (8984)Instructions burned: 83 (million)
% 1.88/1.79 % (8984)------------------------------
% 1.88/1.79 % (8984)------------------------------
% 1.88/1.80 % (8933)Instruction limit reached!
% 1.88/1.80 % (8933)------------------------------
% 1.88/1.80 % (8933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.80 % (8987)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_8796 for (2996ds/6Mi)
% 1.88/1.80 % (8933)Termination reason: Unknown
% 1.88/1.80 % (8933)Termination phase: Saturation
% 1.88/1.80
% 1.88/1.80 % (8933)Memory used [KB]: 7803
% 1.88/1.80 % (8933)Time elapsed: 0.300 s
% 1.88/1.80 % (8933)Instructions burned: 903 (million)
% 1.88/1.80 % (8933)------------------------------
% 1.88/1.80 % (8933)------------------------------
% 1.88/1.80 % (8988)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_8796 for (2996ds/150Mi)
% 1.88/1.80 % (8987)Instruction limit reached!
% 1.88/1.80 % (8987)------------------------------
% 1.88/1.80 % (8987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.80 % (8987)Termination reason: Unknown
% 1.88/1.80 % (8987)Termination phase: Function definition elimination
% 1.88/1.80
% 1.88/1.80 % (8987)Memory used [KB]: 1023
% 1.88/1.80 % (8987)Time elapsed: 0.003 s
% 1.88/1.80 % (8987)Instructions burned: 7 (million)
% 1.88/1.80 % (8987)------------------------------
% 1.88/1.80 % (8987)------------------------------
% 1.88/1.80 % (8989)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_8796 for (2996ds/343Mi)
% 1.88/1.81 % (8990)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_8796 for (2996ds/109Mi)
% 1.88/1.81 % (8991)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_8796 for (2996ds/253Mi)
% 1.88/1.82 % (8954)Instruction limit reached!
% 1.88/1.82 % (8954)------------------------------
% 1.88/1.82 % (8954)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.82 % (8954)Termination reason: Unknown
% 1.88/1.82 % (8954)Termination phase: Saturation
% 1.88/1.82
% 1.88/1.82 % (8954)Memory used [KB]: 6524
% 1.88/1.82 % (8954)Time elapsed: 0.181 s
% 1.88/1.82 % (8954)Instructions burned: 510 (million)
% 1.88/1.82 % (8954)------------------------------
% 1.88/1.82 % (8954)------------------------------
% 1.88/1.83 % (8992)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_8796 for (2996ds/140Mi)
% 1.88/1.84 % (8990)Instruction limit reached!
% 1.88/1.84 % (8990)------------------------------
% 1.88/1.84 % (8990)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.84 % (8990)Termination reason: Unknown
% 1.88/1.84 % (8990)Termination phase: Saturation
% 1.88/1.84
% 1.88/1.84 % (8990)Memory used [KB]: 6268
% 1.88/1.84 % (8990)Time elapsed: 0.035 s
% 1.88/1.84 % (8990)Instructions burned: 109 (million)
% 1.88/1.84 % (8990)------------------------------
% 1.88/1.84 % (8990)------------------------------
% 1.88/1.85 % (8988)Instruction limit reached!
% 1.88/1.85 % (8988)------------------------------
% 1.88/1.85 % (8988)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.85 % (8988)Termination reason: Unknown
% 1.88/1.85 % (8988)Termination phase: Saturation
% 1.88/1.85
% 1.88/1.85 % (8988)Memory used [KB]: 6012
% 1.88/1.85 % (8988)Time elapsed: 0.053 s
% 1.88/1.85 % (8988)Instructions burned: 151 (million)
% 1.88/1.85 % (8988)------------------------------
% 1.88/1.85 % (8988)------------------------------
% 1.88/1.85 % (8993)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_8796 for (2996ds/614Mi)
% 1.88/1.86 % (8940)Instruction limit reached!
% 1.88/1.86 % (8940)------------------------------
% 1.88/1.86 % (8940)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.86 % (8940)Termination reason: Unknown
% 1.88/1.86 % (8940)Termination phase: Saturation
% 1.88/1.86
% 1.88/1.86 % (8940)Memory used [KB]: 7547
% 1.88/1.86 % (8940)Time elapsed: 0.310 s
% 1.88/1.86 % (8940)Instructions burned: 879 (million)
% 1.88/1.86 % (8940)------------------------------
% 1.88/1.86 % (8940)------------------------------
% 1.88/1.86 % (8994)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_8796 for (2995ds/202Mi)
% 1.88/1.87 % (8995)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_8796 for (2995ds/339Mi)
% 1.88/1.88 % (8992)Instruction limit reached!
% 1.88/1.88 % (8992)------------------------------
% 1.88/1.88 % (8992)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.88 % (8992)Termination reason: Unknown
% 1.88/1.88 % (8992)Termination phase: Saturation
% 1.88/1.88
% 1.88/1.88 % (8992)Memory used [KB]: 5884
% 1.88/1.88 % (8992)Time elapsed: 0.046 s
% 1.88/1.88 % (8992)Instructions burned: 140 (million)
% 1.88/1.88 % (8992)------------------------------
% 1.88/1.88 % (8992)------------------------------
% 1.88/1.89 % (8991)Instruction limit reached!
% 1.88/1.89 % (8991)------------------------------
% 1.88/1.89 % (8991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.89 % (8991)Termination reason: Unknown
% 1.88/1.89 % (8991)Termination phase: Saturation
% 1.88/1.89
% 1.88/1.89 % (8991)Memory used [KB]: 6396
% 1.88/1.89 % (8991)Time elapsed: 0.080 s
% 1.88/1.89 % (8991)Instructions burned: 253 (million)
% 1.88/1.89 % (8991)------------------------------
% 1.88/1.89 % (8991)------------------------------
% 1.88/1.89 % (8996)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_8796 for (2995ds/283Mi)
% 1.88/1.89 % Exception at run slice level
% 1.88/1.89 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.90 % (8997)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_8796 for (2995ds/134Mi)
% 1.88/1.90 % (8998)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_8796 for (2995ds/298Mi)
% 1.88/1.90 % Exception at run slice level
% 1.88/1.90 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.91 % (8999)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_8796 for (2995ds/192Mi)
% 1.88/1.92 % (8989)Instruction limit reached!
% 1.88/1.92 % (8989)------------------------------
% 1.88/1.92 % (8989)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.92 % (8989)Termination reason: Unknown
% 1.88/1.92 % (8989)Termination phase: Saturation
% 1.88/1.92
% 1.88/1.92 % (8989)Memory used [KB]: 6780
% 1.88/1.92 % (8989)Time elapsed: 0.122 s
% 1.88/1.92 % (8989)Instructions burned: 343 (million)
% 1.88/1.92 % (8989)------------------------------
% 1.88/1.92 % (8989)------------------------------
% 1.88/1.93 % (8994)Instruction limit reached!
% 1.88/1.93 % (8994)------------------------------
% 1.88/1.93 % (8994)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.93 % (8994)Termination reason: Unknown
% 1.88/1.93 % (8994)Termination phase: Saturation
% 1.88/1.93
% 1.88/1.93 % (8994)Memory used [KB]: 6012
% 1.88/1.93 % (8994)Time elapsed: 0.067 s
% 1.88/1.93 % (8994)Instructions burned: 203 (million)
% 1.88/1.93 % (8994)------------------------------
% 1.88/1.93 % (8994)------------------------------
% 1.88/1.93 % (9000)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_8796 for (2995ds/258Mi)
% 1.88/1.94 % (9001)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_8796 for (2995ds/90Mi)
% 1.88/1.94 % (8997)Instruction limit reached!
% 1.88/1.94 % (8997)------------------------------
% 1.88/1.94 % (8997)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.94 % (8997)Termination reason: Unknown
% 1.88/1.94 % (8997)Termination phase: Saturation
% 1.88/1.94
% 1.88/1.94 % (8997)Memory used [KB]: 6268
% 1.88/1.94 % (8997)Time elapsed: 0.044 s
% 1.88/1.94 % (8997)Instructions burned: 134 (million)
% 1.88/1.94 % (8997)------------------------------
% 1.88/1.94 % (8997)------------------------------
% 1.88/1.95 % (9002)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_8796 for (2995ds/231Mi)
% 1.88/1.95 % Exception at run slice level
% 1.88/1.95 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.96 % (9003)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_8796 for (2994ds/458Mi)
% 1.88/1.97 % (9001)Instruction limit reached!
% 1.88/1.97 % (9001)------------------------------
% 1.88/1.97 % (9001)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.97 % (9001)Termination reason: Unknown
% 1.88/1.97 % (9001)Termination phase: Saturation
% 1.88/1.97
% 1.88/1.97 % (9001)Memory used [KB]: 6012
% 1.88/1.97 % (9001)Time elapsed: 0.031 s
% 1.88/1.97 % (9001)Instructions burned: 90 (million)
% 1.88/1.97 % (9001)------------------------------
% 1.88/1.97 % (9001)------------------------------
% 1.88/1.97 % (8999)Instruction limit reached!
% 1.88/1.97 % (8999)------------------------------
% 1.88/1.97 % (8999)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.97 % (8999)Termination reason: Unknown
% 1.88/1.97 % (8999)Termination phase: Saturation
% 1.88/1.97
% 1.88/1.97 % (8999)Memory used [KB]: 6524
% 1.88/1.97 % (8999)Time elapsed: 0.061 s
% 1.88/1.97 % (8999)Instructions burned: 194 (million)
% 1.88/1.97 % (8999)------------------------------
% 1.88/1.97 % (8999)------------------------------
% 1.88/1.98 % (9004)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_8796 for (2994ds/31Mi)
% 1.88/1.98 % (8995)Instruction limit reached!
% 1.88/1.98 % (8995)------------------------------
% 1.88/1.98 % (8995)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.98 % (8995)Termination reason: Unknown
% 1.88/1.98 % (8995)Termination phase: Saturation
% 1.88/1.98
% 1.88/1.98 % (8995)Memory used [KB]: 6268
% 1.88/1.98 % (8995)Time elapsed: 0.113 s
% 1.88/1.98 % (8995)Instructions burned: 341 (million)
% 1.88/1.98 % (8995)------------------------------
% 1.88/1.98 % (8995)------------------------------
% 1.88/1.98 % (9005)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_8796 for (2994ds/297Mi)
% 1.88/1.98 % Exception at run slice level
% 1.88/1.98 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/1.99 % (9004)Instruction limit reached!
% 1.88/1.99 % (9004)------------------------------
% 1.88/1.99 % (9004)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/1.99 % (9004)Termination reason: Unknown
% 1.88/1.99 % (9004)Termination phase: Saturation
% 1.88/1.99
% 1.88/1.99 % (9004)Memory used [KB]: 5756
% 1.88/1.99 % (9004)Time elapsed: 0.013 s
% 1.88/1.99 % (9004)Instructions burned: 33 (million)
% 1.88/1.99 % (9004)------------------------------
% 1.88/1.99 % (9004)------------------------------
% 1.88/1.99 % (9006)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_8796 for (2994ds/987Mi)
% 1.88/1.99 % (9007)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_8796 for (2994ds/182Mi)
% 1.88/1.99 % Exception at run slice level
% 1.88/1.99 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/2.00 % (9009)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_8796 for (2994ds/154Mi)
% 1.88/2.00 % (9008)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_8796 for (2994ds/182Mi)
% 1.88/2.00 % Exception at run slice level
% 1.88/2.00 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.88/2.01 % (9000)Instruction limit reached!
% 1.88/2.01 % (9000)------------------------------
% 1.88/2.01 % (9000)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.88/2.01 % (9000)Termination reason: Unknown
% 1.88/2.01 % (9000)Termination phase: Saturation
% 1.88/2.01
% 1.88/2.01 % (9000)Memory used [KB]: 6524
% 1.88/2.01 % (9000)Time elapsed: 0.083 s
% 1.88/2.01 % (9000)Instructions burned: 258 (million)
% 1.88/2.01 % (9000)------------------------------
% 1.88/2.01 % (9000)------------------------------
% 5.82/2.02 % (9010)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_8796 for (2994ds/79Mi)
% 5.82/2.02 % (9011)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_8796 for (2994ds/216Mi)
% 5.82/2.02 % Exception at run slice level
% 5.82/2.02 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 5.82/2.03 % (9012)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_8796 for (2994ds/114Mi)
% 5.82/2.04 % (8969)Instruction limit reached!
% 5.82/2.04 % (8969)------------------------------
% 5.82/2.04 % (8969)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.04 % (8969)Termination reason: Unknown
% 5.82/2.04 % (8969)Termination phase: Saturation
% 5.82/2.04
% 5.82/2.04 % (8969)Memory used [KB]: 6652
% 5.82/2.04 % (8969)Time elapsed: 0.366 s
% 5.82/2.04 % (8969)Instructions burned: 1087 (million)
% 5.82/2.04 % (8969)------------------------------
% 5.82/2.04 % (8969)------------------------------
% 5.82/2.04 % (9007)Instruction limit reached!
% 5.82/2.04 % (9007)------------------------------
% 5.82/2.04 % (9007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.04 % (9007)Termination reason: Unknown
% 5.82/2.04 % (9007)Termination phase: Saturation
% 5.82/2.04
% 5.82/2.04 % (9007)Memory used [KB]: 6908
% 5.82/2.04 % (9007)Time elapsed: 0.056 s
% 5.82/2.04 % (9007)Instructions burned: 183 (million)
% 5.82/2.04 % (9007)------------------------------
% 5.82/2.04 % (9007)------------------------------
% 5.82/2.05 % (8993)Instruction limit reached!
% 5.82/2.05 % (8993)------------------------------
% 5.82/2.05 % (8993)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.05 % (8993)Termination reason: Unknown
% 5.82/2.05 % (8993)Termination phase: Saturation
% 5.82/2.05
% 5.82/2.05 % (8993)Memory used [KB]: 8059
% 5.82/2.05 % (8993)Time elapsed: 0.197 s
% 5.82/2.05 % (8993)Instructions burned: 615 (million)
% 5.82/2.05 % (8993)------------------------------
% 5.82/2.05 % (8993)------------------------------
% 5.82/2.05 % (9013)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_8796 for (2993ds/922Mi)
% 5.82/2.05 % (9014)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_8796 for (2993ds/182Mi)
% 5.82/2.05 % Exception at run slice level
% 5.82/2.05 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 5.82/2.06 % (9015)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_8796 for (2993ds/164Mi)
% 5.82/2.06 % (9008)Instruction limit reached!
% 5.82/2.06 % (9008)------------------------------
% 5.82/2.06 % (9008)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.06 % (9008)Termination reason: Unknown
% 5.82/2.06 % (9008)Termination phase: Saturation
% 5.82/2.06
% 5.82/2.06 % (9008)Memory used [KB]: 6396
% 5.82/2.06 % (9008)Time elapsed: 0.081 s
% 5.82/2.06 % (9008)Instructions burned: 184 (million)
% 5.82/2.06 % (9008)------------------------------
% 5.82/2.06 % (9008)------------------------------
% 5.82/2.06 % (9010)Instruction limit reached!
% 5.82/2.06 % (9010)------------------------------
% 5.82/2.06 % (9010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.06 % (9010)Termination reason: Unknown
% 5.82/2.06 % (9010)Termination phase: Saturation
% 5.82/2.06
% 5.82/2.06 % (9010)Memory used [KB]: 6012
% 5.82/2.06 % (9010)Time elapsed: 0.039 s
% 5.82/2.06 % (9010)Instructions burned: 81 (million)
% 5.82/2.06 % (9010)------------------------------
% 5.82/2.06 % (9010)------------------------------
% 5.82/2.06 % (9016)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_8796 for (2993ds/50Mi)
% 5.82/2.06 % Exception at run slice level
% 5.82/2.06 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 5.82/2.07 % (9017)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_8796 for (2993ds/368Mi)
% 5.82/2.07 % (9018)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_8796 for (2993ds/1021Mi)
% 5.82/2.07 % (9012)Instruction limit reached!
% 5.82/2.07 % (9012)------------------------------
% 5.82/2.07 % (9012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.07 % (9012)Termination reason: Unknown
% 5.82/2.07 % (9012)Termination phase: Saturation
% 5.82/2.07
% 5.82/2.07 % (9012)Memory used [KB]: 6140
% 5.82/2.07 % (9012)Time elapsed: 0.037 s
% 5.82/2.07 % (9012)Instructions burned: 114 (million)
% 5.82/2.07 % (9012)------------------------------
% 5.82/2.07 % (9012)------------------------------
% 5.82/2.07 % (9019)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_8796 for (2993ds/267Mi)
% 5.82/2.07 % Exception at run slice level
% 5.82/2.07 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 5.82/2.08 % (9020)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_8796 for (2993ds/204Mi)
% 5.82/2.08 % (9021)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_8796 for (2993ds/26Mi)
% 5.82/2.08 % Exception at run slice level
% 5.82/2.08 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 5.82/2.09 % (9022)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_8796 for (2993ds/53Mi)
% 5.82/2.09 % Exception at run slice level
% 5.82/2.09 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 5.82/2.10 % (9023)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_8796 for (2993ds/4436Mi)
% 5.82/2.11 % (9015)Instruction limit reached!
% 5.82/2.11 % (9015)------------------------------
% 5.82/2.11 % (9015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.11 % (9015)Termination reason: Unknown
% 5.82/2.11 % (9015)Termination phase: Saturation
% 5.82/2.11
% 5.82/2.11 % (9015)Memory used [KB]: 1663
% 5.82/2.11 % (9015)Time elapsed: 0.052 s
% 5.82/2.11 % (9015)Instructions burned: 167 (million)
% 5.82/2.11 % (9015)------------------------------
% 5.82/2.11 % (9015)------------------------------
% 5.82/2.11 % (9003)Instruction limit reached!
% 5.82/2.11 % (9003)------------------------------
% 5.82/2.11 % (9003)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.82/2.11 % (9003)Termination reason: Unknown
% 5.82/2.11 % (9003)Termination phase: Saturation
% 5.82/2.11
% 5.82/2.11 % (9003)Memory used [KB]: 6652
% 5.82/2.11 % (9003)Time elapsed: 0.149 s
% 5.82/2.11 % (9003)Instructions burned: 458 (million)
% 5.82/2.11 % (9003)------------------------------
% 5.82/2.11 % (9003)------------------------------
% 6.35/2.12 % (9024)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_8796 for (2993ds/1539Mi)
% 6.35/2.12 % (9025)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_8796 for (2993ds/408Mi)
% 6.35/2.14 % (9020)Instruction limit reached!
% 6.35/2.14 % (9020)------------------------------
% 6.35/2.14 % (9020)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.35/2.14 % (9020)Termination reason: Unknown
% 6.35/2.14 % (9020)Termination phase: Saturation
% 6.35/2.14
% 6.35/2.14 % (9020)Memory used [KB]: 6140
% 6.35/2.14 % (9020)Time elapsed: 0.064 s
% 6.35/2.14 % (9020)Instructions burned: 206 (million)
% 6.35/2.14 % (9020)------------------------------
% 6.35/2.14 % (9020)------------------------------
% 6.35/2.15 % (9026)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_8796 for (2992ds/5205Mi)
% 6.35/2.15 % Exception at run slice level
% 6.35/2.15 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 6.35/2.16 % (9027)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 DTF2THF_8796 for (2992ds/1913Mi)
% 6.35/2.18 % (9017)Instruction limit reached!
% 6.35/2.18 % (9017)------------------------------
% 6.35/2.18 % (9017)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.35/2.18 % (9017)Termination reason: Unknown
% 6.35/2.18 % (9017)Termination phase: Saturation
% 6.35/2.18
% 6.35/2.18 % (9017)Memory used [KB]: 7164
% 6.35/2.18 % (9017)Time elapsed: 0.113 s
% 6.35/2.18 % (9017)Instructions burned: 370 (million)
% 6.35/2.18 % (9017)------------------------------
% 6.35/2.18 % (9017)------------------------------
% 6.35/2.19 % (9028)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 DTF2THF_8796 for (2992ds/4350Mi)
% 6.55/2.24 % (9025)Instruction limit reached!
% 6.55/2.24 % (9025)------------------------------
% 6.55/2.24 % (9025)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.55/2.24 % (9025)Termination reason: Unknown
% 6.55/2.24 % (9025)Termination phase: Saturation
% 6.55/2.24
% 6.55/2.24 % (9025)Memory used [KB]: 7164
% 6.55/2.24 % (9025)Time elapsed: 0.122 s
% 6.55/2.24 % (9025)Instructions burned: 408 (million)
% 6.55/2.24 % (9025)------------------------------
% 6.55/2.24 % (9025)------------------------------
% 6.55/2.25 % (9029)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 DTF2THF_8796 for (2992ds/68Mi)
% 6.55/2.27 % (9029)Instruction limit reached!
% 6.55/2.27 % (9029)------------------------------
% 6.55/2.27 % (9029)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.55/2.27 % (9029)Termination reason: Unknown
% 6.55/2.27 % (9029)Termination phase: Saturation
% 6.55/2.27
% 6.55/2.27 % (9029)Memory used [KB]: 6012
% 6.55/2.27 % (9029)Time elapsed: 0.024 s
% 6.55/2.27 % (9029)Instructions burned: 69 (million)
% 6.55/2.27 % (9029)------------------------------
% 6.55/2.27 % (9029)------------------------------
% 6.55/2.28 % (9030)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 DTF2THF_8796 for (2991ds/358Mi)
% 6.71/2.33 % (9013)Instruction limit reached!
% 6.71/2.33 % (9013)------------------------------
% 6.71/2.33 % (9013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.71/2.33 % (9013)Termination reason: Unknown
% 6.71/2.33 % (9013)Termination phase: Saturation
% 6.71/2.33
% 6.71/2.33 % (9013)Memory used [KB]: 6780
% 6.71/2.33 % (9013)Time elapsed: 0.279 s
% 6.71/2.33 % (9013)Instructions burned: 924 (million)
% 6.71/2.33 % (9013)------------------------------
% 6.71/2.33 % (9013)------------------------------
% 6.71/2.34 % (9031)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_8796 for (2991ds/31Mi)
% 6.71/2.35 % (9031)Instruction limit reached!
% 6.71/2.35 % (9031)------------------------------
% 6.71/2.35 % (9031)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.71/2.35 % (9031)Termination reason: Unknown
% 6.71/2.35 % (9031)Termination phase: Saturation
% 6.71/2.35
% 6.71/2.35 % (9031)Memory used [KB]: 5756
% 6.71/2.35 % (9031)Time elapsed: 0.013 s
% 6.71/2.35 % (9031)Instructions burned: 33 (million)
% 6.71/2.35 % (9031)------------------------------
% 6.71/2.35 % (9031)------------------------------
% 6.71/2.36 % (9032)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_8796 for (2990ds/279Mi)
% 6.71/2.36 % Exception at run slice level
% 6.71/2.36 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 6.71/2.37 % (9033)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_8796 for (2990ds/258Mi)
% 6.71/2.38 % (9018)Instruction limit reached!
% 6.71/2.38 % (9018)------------------------------
% 6.71/2.38 % (9018)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.71/2.38 % (9018)Termination reason: Unknown
% 6.71/2.38 % (9018)Termination phase: Saturation
% 6.71/2.38
% 6.71/2.38 % (9018)Memory used [KB]: 9338
% 6.71/2.38 % (9018)Time elapsed: 0.315 s
% 6.71/2.38 % (9018)Instructions burned: 1024 (million)
% 6.71/2.38 % (9018)------------------------------
% 6.71/2.38 % (9018)------------------------------
% 6.71/2.39 % (9034)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_8796 for (2990ds/26Mi)
% 6.71/2.39 % (9030)Instruction limit reached!
% 6.71/2.39 % (9030)------------------------------
% 6.71/2.39 % (9030)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.71/2.39 % (9030)Termination reason: Unknown
% 6.71/2.39 % (9030)Termination phase: Saturation
% 6.71/2.39
% 6.71/2.39 % (9030)Memory used [KB]: 6524
% 6.71/2.39 % (9030)Time elapsed: 0.113 s
% 6.71/2.39 % (9030)Instructions burned: 361 (million)
% 6.71/2.39 % (9030)------------------------------
% 6.71/2.39 % (9030)------------------------------
% 6.71/2.39 % Exception at run slice level
% 6.71/2.39 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 7.49/2.40 % (9035)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 DTF2THF_8796 for (2990ds/995Mi)
% 7.49/2.40 % (9036)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 DTF2THF_8796 for (2990ds/373Mi)
% 7.49/2.40 % Exception at run slice level
% 7.49/2.40 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 7.49/2.41 % (9037)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 DTF2THF_8796 for (2990ds/253Mi)
% 7.49/2.41 % Exception at run slice level
% 7.49/2.41 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 7.49/2.42 % (9038)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_8796 for (2990ds/832Mi)
% 7.49/2.45 % (9033)Instruction limit reached!
% 7.49/2.45 % (9033)------------------------------
% 7.49/2.45 % (9033)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.49/2.45 % (9033)Termination reason: Unknown
% 7.49/2.45 % (9033)Termination phase: Saturation
% 7.49/2.45
% 7.49/2.45 % (9033)Memory used [KB]: 7419
% 7.49/2.45 % (9033)Time elapsed: 0.084 s
% 7.49/2.45 % (9033)Instructions burned: 259 (million)
% 7.49/2.45 % (9033)------------------------------
% 7.49/2.45 % (9033)------------------------------
% 7.49/2.46 % (9039)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 DTF2THF_8796 for (2989ds/668Mi)
% 7.49/2.46 % Exception at run slice level
% 7.49/2.46 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 7.49/2.47 % (9040)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 DTF2THF_8796 for (2989ds/40Mi)
% 7.49/2.47 % Exception at run slice level
% 7.49/2.47 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 7.49/2.48 % (9041)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 DTF2THF_8796 for (2989ds/294Mi)
% 7.49/2.48 % Exception at run slice level
% 7.49/2.48 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 7.49/2.49 % (9042)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 DTF2THF_8796 for (2989ds/187Mi)
% 7.64/2.52 % (9036)Instruction limit reached!
% 7.64/2.52 % (9036)------------------------------
% 7.64/2.52 % (9036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.64/2.52 % (9036)Termination reason: Unknown
% 7.64/2.52 % (9036)Termination phase: Saturation
% 7.64/2.52
% 7.64/2.52 % (9036)Memory used [KB]: 7036
% 7.64/2.52 % (9036)Time elapsed: 0.116 s
% 7.64/2.52 % (9036)Instructions burned: 374 (million)
% 7.64/2.52 % (9036)------------------------------
% 7.64/2.52 % (9036)------------------------------
% 7.64/2.53 % (9043)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_8796 for (2989ds/371Mi)
% 7.64/2.55 % (9042)Instruction limit reached!
% 7.64/2.55 % (9042)------------------------------
% 7.64/2.55 % (9042)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.64/2.55 % (9042)Termination reason: Unknown
% 7.64/2.55 % (9042)Termination phase: Saturation
% 7.64/2.55
% 7.64/2.55 % (9042)Memory used [KB]: 6780
% 7.64/2.55 % (9042)Time elapsed: 0.060 s
% 7.64/2.55 % (9042)Instructions burned: 187 (million)
% 7.64/2.55 % (9042)------------------------------
% 7.64/2.55 % (9042)------------------------------
% 7.64/2.56 % (9044)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_8796 for (2988ds/1827Mi)
% 7.64/2.58 % (9024)Instruction limit reached!
% 7.64/2.58 % (9024)------------------------------
% 7.64/2.58 % (9024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.64/2.58 % (9024)Termination reason: Unknown
% 7.64/2.58 % (9024)Termination phase: Saturation
% 7.64/2.58
% 7.64/2.58 % (9024)Memory used [KB]: 9722
% 7.64/2.58 % (9024)Time elapsed: 0.468 s
% 7.64/2.58 % (9024)Instructions burned: 1541 (million)
% 7.64/2.58 % (9024)------------------------------
% 7.64/2.58 % (9024)------------------------------
% 7.64/2.59 % (9045)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 DTF2THF_8796 for (2988ds/70Mi)
% 7.64/2.59 % Exception at run slice level
% 7.64/2.59 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 8.32/2.60 % (9046)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 DTF2THF_8796 for (2988ds/316Mi)
% 8.32/2.60 % Exception at run slice level
% 8.32/2.60 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 8.32/2.61 % (9047)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 DTF2THF_8796 for (2988ds/932Mi)
% 8.32/2.61 % Exception at run slice level
% 8.32/2.61 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 8.32/2.62 % (9048)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 DTF2THF_8796 for (2988ds/4714Mi)
% 8.32/2.62 % Exception at run slice level
% 8.32/2.62 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 8.32/2.63 % (9049)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 DTF2THF_8796 for (2988ds/8250Mi)
% 8.32/2.65 % (9043)Instruction limit reached!
% 8.32/2.65 % (9043)------------------------------
% 8.32/2.65 % (9043)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.32/2.65 % (9043)Termination reason: Unknown
% 8.32/2.65 % (9043)Termination phase: Saturation
% 8.32/2.65
% 8.32/2.65 % (9043)Memory used [KB]: 6780
% 8.32/2.65 % (9043)Time elapsed: 0.120 s
% 8.32/2.65 % (9043)Instructions burned: 371 (million)
% 8.32/2.65 % (9043)------------------------------
% 8.32/2.65 % (9043)------------------------------
% 8.32/2.66 % (9050)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 DTF2THF_8796 for (2988ds/770Mi)
% 8.32/2.67 % (9050)Refutation not found, incomplete strategy
% 8.32/2.67 % (9050)------------------------------
% 8.32/2.67 % (9050)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.32/2.67 % (9050)Termination reason: Refutation not found, incomplete strategy
% 8.32/2.67
% 8.32/2.67
% 8.32/2.67 % (9050)Memory used [KB]: 5756
% 8.32/2.67 % (9050)Time elapsed: 0.035 s
% 8.32/2.67 % (9050)Instructions burned: 39 (million)
% 8.32/2.67 % (9050)------------------------------
% 8.32/2.67 % (9050)------------------------------
% 8.32/2.68 % (9051)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_8796 for (2987ds/794Mi)
% 8.32/2.69 % (9038)Instruction limit reached!
% 8.32/2.69 % (9038)------------------------------
% 8.32/2.69 % (9038)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.32/2.69 % (9038)Termination reason: Unknown
% 8.32/2.69 % (9038)Termination phase: Saturation
% 8.32/2.69
% 8.32/2.69 % (9038)Memory used [KB]: 7164
% 8.32/2.69 % (9038)Time elapsed: 0.269 s
% 8.32/2.69 % (9038)Instructions burned: 833 (million)
% 8.32/2.69 % (9038)------------------------------
% 8.32/2.69 % (9038)------------------------------
% 8.79/2.70 % (9052)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_8796 for (2987ds/464Mi)
% 8.79/2.75 % (9027)Instruction limit reached!
% 8.79/2.75 % (9027)------------------------------
% 8.79/2.75 % (9027)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.79/2.75 % (9027)Termination reason: Unknown
% 8.79/2.75 % (9027)Termination phase: Saturation
% 8.79/2.75
% 8.79/2.75 % (9027)Memory used [KB]: 2942
% 8.79/2.75 % (9027)Time elapsed: 0.589 s
% 8.79/2.75 % (9027)Instructions burned: 1914 (million)
% 8.79/2.75 % (9027)------------------------------
% 8.79/2.75 % (9027)------------------------------
% 8.79/2.76 % (9071)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 DTF2THF_8796 for (2986ds/1376Mi)
% 8.79/2.76 % Exception at run slice level
% 8.79/2.76 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 8.79/2.77 % (9072)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_8796 for (2986ds/906Mi)
% 9.40/2.86 % (9052)Instruction limit reached!
% 9.40/2.86 % (9052)------------------------------
% 9.40/2.86 % (9052)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.40/2.86 % (9052)Termination reason: Unknown
% 9.40/2.86 % (9052)Termination phase: Saturation
% 9.40/2.86
% 9.40/2.86 % (9052)Memory used [KB]: 6780
% 9.40/2.86 % (9052)Time elapsed: 0.158 s
% 9.40/2.86 % (9052)Instructions burned: 466 (million)
% 9.40/2.86 % (9052)------------------------------
% 9.40/2.86 % (9052)------------------------------
% 9.40/2.87 % (9073)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 DTF2THF_8796 for (2985ds/434Mi)
% 9.56/2.92 % (9051)Instruction limit reached!
% 9.56/2.92 % (9051)------------------------------
% 9.56/2.92 % (9051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.56/2.92 % (9051)Termination reason: Unknown
% 9.56/2.92 % (9051)Termination phase: Saturation
% 9.56/2.92
% 9.56/2.92 % (9051)Memory used [KB]: 3709
% 9.56/2.92 % (9051)Time elapsed: 0.247 s
% 9.56/2.93 % (9051)Instructions burned: 795 (million)
% 9.56/2.93 % (9051)------------------------------
% 9.56/2.93 % (9051)------------------------------
% 9.56/2.94 % (9074)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 DTF2THF_8796 for (2985ds/865Mi)
% 12.81/3.01 % (9073)Instruction limit reached!
% 12.81/3.01 % (9073)------------------------------
% 12.81/3.01 % (9073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.81/3.01 % (9073)Termination reason: Unknown
% 12.81/3.01 % (9073)Termination phase: Saturation
% 12.81/3.01
% 12.81/3.01 % (9073)Memory used [KB]: 7036
% 12.81/3.01 % (9073)Time elapsed: 0.140 s
% 12.81/3.01 % (9073)Instructions burned: 434 (million)
% 12.81/3.01 % (9073)------------------------------
% 12.81/3.01 % (9073)------------------------------
% 12.81/3.02 % (9075)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 DTF2THF_8796 for (2984ds/593Mi)
% 12.81/3.02 % Exception at run slice level
% 12.81/3.02 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 12.81/3.03 % (9076)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_8796 for (2984ds/443Mi)
% 12.81/3.10 % (9072)Instruction limit reached!
% 12.81/3.10 % (9072)------------------------------
% 12.81/3.10 % (9072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.81/3.10 % (9072)Termination reason: Unknown
% 12.81/3.10 % (9072)Termination phase: Saturation
% 12.81/3.10
% 12.81/3.10 % (9072)Memory used [KB]: 13048
% 12.81/3.10 % (9072)Time elapsed: 0.333 s
% 12.81/3.10 % (9072)Instructions burned: 906 (million)
% 12.81/3.10 % (9072)------------------------------
% 12.81/3.10 % (9072)------------------------------
% 13.45/3.11 % (9077)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_8796 for (2983ds/594Mi)
% 13.45/3.15 % (9044)Instruction limit reached!
% 13.45/3.15 % (9044)------------------------------
% 13.45/3.15 % (9044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.45/3.15 % (9044)Termination reason: Unknown
% 13.45/3.15 % (9044)Termination phase: Saturation
% 13.45/3.15
% 13.45/3.15 % (9044)Memory used [KB]: 9210
% 13.45/3.15 % (9044)Time elapsed: 0.611 s
% 13.45/3.15 % (9044)Instructions burned: 1829 (million)
% 13.45/3.15 % (9044)------------------------------
% 13.45/3.15 % (9044)------------------------------
% 13.45/3.16 % (9078)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 DTF2THF_8796 for (2982ds/327Mi)
% 13.45/3.17 % (9076)Instruction limit reached!
% 13.45/3.17 % (9076)------------------------------
% 13.45/3.17 % (9076)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.45/3.17 % (9076)Termination reason: Unknown
% 13.45/3.17 % (9076)Termination phase: Saturation
% 13.45/3.17
% 13.45/3.17 % (9076)Memory used [KB]: 7419
% 13.45/3.17 % (9076)Time elapsed: 0.141 s
% 13.45/3.17 % (9076)Instructions burned: 444 (million)
% 13.45/3.17 % (9076)------------------------------
% 13.45/3.17 % (9076)------------------------------
% 13.45/3.18 % (9079)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_8796 for (2982ds/5411Mi)
% 13.45/3.19 % (9074)Instruction limit reached!
% 13.45/3.19 % (9074)------------------------------
% 13.45/3.19 % (9074)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.45/3.19 % (9074)Termination reason: Unknown
% 13.45/3.19 % (9074)Termination phase: Saturation
% 13.45/3.19
% 13.45/3.19 % (9074)Memory used [KB]: 11257
% 13.45/3.19 % (9074)Time elapsed: 0.259 s
% 13.45/3.19 % (9074)Instructions burned: 866 (million)
% 13.45/3.19 % (9074)------------------------------
% 13.45/3.19 % (9074)------------------------------
% 13.99/3.20 % (9080)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 DTF2THF_8796 for (2982ds/1762Mi)
% 13.99/3.20 % Exception at run slice level
% 13.99/3.20 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 13.99/3.21 % (9081)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_8796 for (2982ds/96Mi)
% 13.99/3.22 % Exception at run slice level
% 13.99/3.22 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 13.99/3.23 % (9082)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 DTF2THF_8796 for (2982ds/503Mi)
% 13.99/3.26 % (9078)Instruction limit reached!
% 13.99/3.26 % (9078)------------------------------
% 13.99/3.26 % (9078)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.99/3.26 % (9078)Termination reason: Unknown
% 13.99/3.26 % (9078)Termination phase: Saturation
% 13.99/3.26
% 13.99/3.26 % (9078)Memory used [KB]: 7164
% 13.99/3.26 % (9078)Time elapsed: 0.098 s
% 13.99/3.26 % (9078)Instructions burned: 330 (million)
% 13.99/3.26 % (9078)------------------------------
% 13.99/3.26 % (9078)------------------------------
% 13.99/3.27 % (9083)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_8796 for (2981ds/90Mi)
% 14.42/3.30 % (9083)Instruction limit reached!
% 14.42/3.30 % (9083)------------------------------
% 14.42/3.30 % (9083)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.42/3.30 % (9083)Termination reason: Unknown
% 14.42/3.30 % (9083)Termination phase: Saturation
% 14.42/3.30
% 14.42/3.30 % (9083)Memory used [KB]: 6012
% 14.42/3.30 % (9083)Time elapsed: 0.033 s
% 14.42/3.30 % (9083)Instructions burned: 93 (million)
% 14.42/3.30 % (9083)------------------------------
% 14.42/3.30 % (9083)------------------------------
% 14.42/3.31 % (9077)Instruction limit reached!
% 14.42/3.31 % (9077)------------------------------
% 14.42/3.31 % (9077)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.42/3.31 % (9077)Termination reason: Unknown
% 14.42/3.31 % (9077)Termination phase: Saturation
% 14.42/3.31
% 14.42/3.31 % (9077)Memory used [KB]: 7419
% 14.42/3.31 % (9077)Time elapsed: 0.198 s
% 14.42/3.31 % (9077)Instructions burned: 595 (million)
% 14.42/3.31 % (9077)------------------------------
% 14.42/3.31 % (9077)------------------------------
% 14.42/3.31 % (9084)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_8796 for (2981ds/593Mi)
% 14.42/3.32 % (9085)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 DTF2THF_8796 for (2981ds/1512Mi)
% 14.42/3.38 % (9082)Instruction limit reached!
% 14.42/3.38 % (9082)------------------------------
% 14.42/3.38 % (9082)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.42/3.38 % (9082)Termination reason: Unknown
% 14.42/3.38 % (9082)Termination phase: Saturation
% 14.42/3.38
% 14.42/3.38 % (9082)Memory used [KB]: 7419
% 14.42/3.38 % (9082)Time elapsed: 0.158 s
% 14.42/3.38 % (9082)Instructions burned: 504 (million)
% 14.42/3.38 % (9082)------------------------------
% 14.42/3.38 % (9082)------------------------------
% 14.42/3.39 % (9086)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_8796 for (2980ds/569Mi)
% 14.42/3.39 % Exception at run slice level
% 14.42/3.39 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 15.14/3.40 % (9023)Instruction limit reached!
% 15.14/3.40 % (9023)------------------------------
% 15.14/3.40 % (9023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.14/3.40 % (9023)Termination reason: Unknown
% 15.14/3.40 % (9023)Termination phase: Saturation
% 15.14/3.40
% 15.14/3.40 % (9023)Memory used [KB]: 7419
% 15.14/3.40 % (9023)Time elapsed: 1.298 s
% 15.14/3.40 % (9023)Instructions burned: 4436 (million)
% 15.14/3.40 % (9023)------------------------------
% 15.14/3.40 % (9023)------------------------------
% 15.14/3.40 % (9087)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 DTF2THF_8796 for (2980ds/501Mi)
% 15.14/3.41 % (9088)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 DTF2THF_8796 for (2980ds/562Mi)
% 15.14/3.50 % (9084)Instruction limit reached!
% 15.14/3.50 % (9084)------------------------------
% 15.14/3.50 % (9084)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.14/3.50 % (9084)Termination reason: Unknown
% 15.14/3.50 % (9084)Termination phase: Saturation
% 15.14/3.50
% 15.14/3.50 % (9084)Memory used [KB]: 7419
% 15.14/3.50 % (9084)Time elapsed: 0.185 s
% 15.14/3.50 % (9084)Instructions burned: 596 (million)
% 15.14/3.50 % (9084)------------------------------
% 15.14/3.50 % (9084)------------------------------
% 15.36/3.51 % (9089)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_8796 for (2979ds/406Mi)
% 15.36/3.53 % (9028)Instruction limit reached!
% 15.36/3.53 % (9028)------------------------------
% 15.36/3.53 % (9028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.36/3.53 % (9028)Termination reason: Unknown
% 15.36/3.53 % (9028)Termination phase: Saturation
% 15.36/3.53
% 15.36/3.53 % (9028)Memory used [KB]: 15095
% 15.36/3.53 % (9028)Time elapsed: 1.339 s
% 15.36/3.53 % (9028)Instructions burned: 4351 (million)
% 15.36/3.53 % (9028)------------------------------
% 15.36/3.53 % (9028)------------------------------
% 15.36/3.54 % (9090)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_8796 for (2979ds/582Mi)
% 15.36/3.56 % (9087)Instruction limit reached!
% 15.36/3.56 % (9087)------------------------------
% 15.36/3.56 % (9087)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.36/3.56 % (9087)Termination reason: Unknown
% 15.36/3.56 % (9087)Termination phase: Saturation
% 15.36/3.56
% 15.36/3.56 % (9087)Memory used [KB]: 6780
% 15.36/3.56 % (9087)Time elapsed: 0.157 s
% 15.36/3.56 % (9087)Instructions burned: 503 (million)
% 15.36/3.56 % (9087)------------------------------
% 15.36/3.56 % (9087)------------------------------
% 15.36/3.57 % (9091)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 DTF2THF_8796 for (2978ds/456Mi)
% 15.36/3.59 % (9088)Instruction limit reached!
% 15.36/3.59 % (9088)------------------------------
% 15.36/3.59 % (9088)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.36/3.59 % (9088)Termination reason: Unknown
% 15.36/3.59 % (9088)Termination phase: Saturation
% 15.36/3.59
% 15.36/3.59 % (9088)Memory used [KB]: 8443
% 15.36/3.59 % (9088)Time elapsed: 0.178 s
% 15.36/3.59 % (9088)Instructions burned: 562 (million)
% 15.36/3.59 % (9088)------------------------------
% 15.36/3.59 % (9088)------------------------------
% 16.05/3.60 % (9092)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_8796 for (2978ds/393Mi)
% 16.05/3.63 % (9089)Instruction limit reached!
% 16.05/3.63 % (9089)------------------------------
% 16.05/3.63 % (9089)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.05/3.63 % (9089)Termination reason: Unknown
% 16.05/3.63 % (9089)Termination phase: Saturation
% 16.05/3.63
% 16.05/3.63 % (9089)Memory used [KB]: 6396
% 16.05/3.63 % (9089)Time elapsed: 0.129 s
% 16.05/3.63 % (9089)Instructions burned: 406 (million)
% 16.05/3.63 % (9089)------------------------------
% 16.05/3.63 % (9089)------------------------------
% 16.05/3.64 % (9093)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 DTF2THF_8796 for (2978ds/1335Mi)
% 16.28/3.70 % (9091)Refutation not found, non-redundant clauses discarded% (9091)------------------------------
% 16.28/3.70 % (9091)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.28/3.70 % (9091)Termination reason: Refutation not found, non-redundant clauses discarded
% 16.28/3.70
% 16.28/3.70 % (9091)Memory used [KB]: 6780
% 16.28/3.70 % (9091)Time elapsed: 0.134 s
% 16.28/3.70 % (9091)Instructions burned: 415 (million)
% 16.28/3.70 % (9091)------------------------------
% 16.28/3.70 % (9091)------------------------------
% 16.28/3.71 % (9094)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 DTF2THF_8796 for (2977ds/3373Mi)
% 16.28/3.72 % (9092)Instruction limit reached!
% 16.28/3.72 % (9092)------------------------------
% 16.28/3.72 % (9092)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.28/3.72 % (9092)Termination reason: Unknown
% 16.28/3.72 % (9092)Termination phase: Saturation
% 16.28/3.72
% 16.28/3.72 % (9092)Memory used [KB]: 7036
% 16.28/3.72 % (9092)Time elapsed: 0.129 s
% 16.28/3.72 % (9092)Instructions burned: 393 (million)
% 16.28/3.72 % (9092)------------------------------
% 16.28/3.72 % (9092)------------------------------
% 16.28/3.73 % (9090)Instruction limit reached!
% 16.28/3.73 % (9090)------------------------------
% 16.28/3.73 % (9090)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.28/3.73 % (9090)Termination reason: Unknown
% 16.28/3.73 % (9090)Termination phase: Saturation
% 16.28/3.73
% 16.28/3.73 % (9090)Memory used [KB]: 6396
% 16.28/3.73 % (9090)Time elapsed: 0.189 s
% 16.28/3.73 % (9090)Instructions burned: 584 (million)
% 16.28/3.73 % (9090)------------------------------
% 16.28/3.73 % (9090)------------------------------
% 16.28/3.74 % (9099)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 DTF2THF_8796 for (2977ds/157Mi)
% 16.28/3.74 % Exception at run slice level
% 16.28/3.74 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 16.28/3.74 % (9098)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 DTF2THF_8796 for (2977ds/474Mi)
% 16.28/3.74 % Exception at run slice level
% 16.28/3.74 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 16.28/3.75 % (9100)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 DTF2THF_8796 for (2977ds/590Mi)
% 16.28/3.75 % (9101)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_8796 for (2977ds/104Mi)
% 16.28/3.79 % (9101)Instruction limit reached!
% 16.28/3.79 % (9101)------------------------------
% 16.28/3.79 % (9101)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.28/3.79 % (9101)Termination reason: Unknown
% 16.28/3.79 % (9101)Termination phase: Saturation
% 16.28/3.79
% 16.28/3.79 % (9101)Memory used [KB]: 6012
% 16.28/3.79 % (9101)Time elapsed: 0.036 s
% 16.28/3.79 % (9101)Instructions burned: 106 (million)
% 16.28/3.79 % (9101)------------------------------
% 16.28/3.79 % (9101)------------------------------
% 16.94/3.80 % (9116)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_8796 for (2976ds/414Mi)
% 16.94/3.80 % Exception at run slice level
% 16.94/3.80 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 16.94/3.81 % (9085)Instruction limit reached!
% 16.94/3.81 % (9085)------------------------------
% 16.94/3.81 % (9085)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.94/3.81 % (9085)Termination reason: Unknown
% 16.94/3.81 % (9085)Termination phase: Saturation
% 16.94/3.81
% 16.94/3.81 % (9085)Memory used [KB]: 8187
% 16.94/3.81 % (9085)Time elapsed: 0.489 s
% 16.94/3.81 % (9085)Instructions burned: 1512 (million)
% 16.94/3.81 % (9085)------------------------------
% 16.94/3.81 % (9085)------------------------------
% 16.94/3.81 % (9117)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 DTF2THF_8796 for (2976ds/715Mi)
% 16.94/3.82 % (9118)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 DTF2THF_8796 for (2976ds/961Mi)
% 17.55/3.93 % (9100)Instruction limit reached!
% 17.55/3.93 % (9100)------------------------------
% 17.55/3.93 % (9100)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.55/3.93 % (9100)Termination reason: Unknown
% 17.55/3.93 % (9100)Termination phase: Saturation
% 17.55/3.93
% 17.55/3.93 % (9100)Memory used [KB]: 8187
% 17.55/3.93 % (9100)Time elapsed: 0.182 s
% 17.55/3.93 % (9100)Instructions burned: 590 (million)
% 17.55/3.93 % (9100)------------------------------
% 17.55/3.93 % (9100)------------------------------
% 17.55/3.94 % (9119)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_8796 for (2975ds/1213Mi)
% 19.81/4.02 % (9117)Instruction limit reached!
% 19.81/4.02 % (9117)------------------------------
% 19.81/4.02 % (9117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.81/4.02 % (9117)Termination reason: Unknown
% 19.81/4.02 % (9117)Termination phase: Saturation
% 19.81/4.02
% 19.81/4.02 % (9117)Memory used [KB]: 3837
% 19.81/4.02 % (9117)Time elapsed: 0.216 s
% 19.81/4.02 % (9117)Instructions burned: 718 (million)
% 19.81/4.02 % (9117)------------------------------
% 19.81/4.02 % (9117)------------------------------
% 19.81/4.03 % (9120)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_8796 for (2974ds/1979Mi)
% 19.81/4.05 % (9093)Instruction limit reached!
% 19.81/4.05 % (9093)------------------------------
% 19.81/4.05 % (9093)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.81/4.05 % (9093)Termination reason: Unknown
% 19.81/4.05 % (9093)Termination phase: Saturation
% 19.81/4.05
% 19.81/4.05 % (9093)Memory used [KB]: 7164
% 19.81/4.05 % (9093)Time elapsed: 0.404 s
% 19.81/4.05 % (9093)Instructions burned: 1335 (million)
% 19.81/4.05 % (9093)------------------------------
% 19.81/4.05 % (9093)------------------------------
% 19.81/4.06 % (9121)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_8796 for (2974ds/481Mi)
% 19.81/4.06 % Exception at run slice level
% 19.81/4.06 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 19.81/4.07 % (9122)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_8796 for (2973ds/783Mi)
% 20.40/4.14 % (9118)Instruction limit reached!
% 20.40/4.14 % (9118)------------------------------
% 20.40/4.14 % (9118)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.40/4.14 % (9118)Termination reason: Unknown
% 20.40/4.14 % (9118)Termination phase: Saturation
% 20.40/4.14
% 20.40/4.14 % (9118)Memory used [KB]: 6780
% 20.40/4.14 % (9118)Time elapsed: 0.319 s
% 20.40/4.14 % (9118)Instructions burned: 962 (million)
% 20.40/4.14 % (9118)------------------------------
% 20.40/4.14 % (9118)------------------------------
% 20.40/4.15 % (9123)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_8796 for (2973ds/432Mi)
% 20.76/4.28 % (9123)Instruction limit reached!
% 20.76/4.28 % (9123)------------------------------
% 20.76/4.28 % (9123)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.76/4.28 % (9123)Termination reason: Unknown
% 20.76/4.28 % (9123)Termination phase: Saturation
% 20.76/4.28
% 20.76/4.28 % (9123)Memory used [KB]: 7036
% 20.76/4.28 % (9123)Time elapsed: 0.158 s
% 20.76/4.28 % (9123)Instructions burned: 433 (million)
% 20.76/4.28 % (9123)------------------------------
% 20.76/4.28 % (9123)------------------------------
% 20.76/4.29 % (9124)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_8796 for (2971ds/1670Mi)
% 20.76/4.29 % Exception at run slice level
% 20.76/4.29 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 21.32/4.30 % (9125)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_8796 for (2971ds/90Mi)
% 21.32/4.31 % (9122)Instruction limit reached!
% 21.32/4.31 % (9122)------------------------------
% 21.32/4.31 % (9122)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.32/4.31 % (9122)Termination reason: Unknown
% 21.32/4.31 % (9122)Termination phase: Saturation
% 21.32/4.31
% 21.32/4.31 % (9122)Memory used [KB]: 8187
% 21.32/4.31 % (9122)Time elapsed: 0.263 s
% 21.32/4.31 % (9122)Instructions burned: 783 (million)
% 21.32/4.31 % (9122)------------------------------
% 21.32/4.31 % (9122)------------------------------
% 21.32/4.31 % (9119)Instruction limit reached!
% 21.32/4.31 % (9119)------------------------------
% 21.32/4.31 % (9119)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.32/4.31 % (9119)Termination reason: Unknown
% 21.32/4.31 % (9119)Termination phase: Saturation
% 21.32/4.31
% 21.32/4.31 % (9119)Memory used [KB]: 8443
% 21.32/4.31 % (9119)Time elapsed: 0.376 s
% 21.32/4.31 % (9119)Instructions burned: 1214 (million)
% 21.32/4.31 % (9119)------------------------------
% 21.32/4.31 % (9119)------------------------------
% 21.32/4.32 % (9126)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_8796 for (2971ds/346Mi)
% 21.32/4.32 % Exception at run slice level
% 21.32/4.32 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 21.32/4.32 % (9127)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_8796 for (2971ds/401Mi)
% 21.32/4.32 % Exception at run slice level
% 21.32/4.32 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 21.32/4.33 % (9128)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_8796 for (2971ds/6454Mi)
% 21.32/4.33 % (9125)Instruction limit reached!
% 21.32/4.33 % (9125)------------------------------
% 21.32/4.33 % (9125)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.32/4.33 % (9125)Termination reason: Unknown
% 21.32/4.33 % (9125)Termination phase: Saturation
% 21.32/4.33
% 21.32/4.33 % (9125)Memory used [KB]: 6012
% 21.32/4.33 % (9125)Time elapsed: 0.054 s
% 21.32/4.33 % (9125)Instructions burned: 91 (million)
% 21.32/4.33 % (9125)------------------------------
% 21.32/4.33 % (9125)------------------------------
% 21.32/4.33 % (9129)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_8796 for (2971ds/283Mi)
% 21.32/4.34 % (9130)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_8796 for (2971ds/865Mi)
% 21.95/4.42 % (9129)Instruction limit reached!
% 21.95/4.42 % (9129)------------------------------
% 21.95/4.42 % (9129)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.95/4.42 % (9129)Termination reason: Unknown
% 21.95/4.42 % (9129)Termination phase: Saturation
% 21.95/4.42
% 21.95/4.42 % (9129)Memory used [KB]: 7164
% 21.95/4.42 % (9129)Time elapsed: 0.112 s
% 21.95/4.42 % (9129)Instructions burned: 284 (million)
% 21.95/4.42 % (9129)------------------------------
% 21.95/4.42 % (9129)------------------------------
% 21.95/4.43 % (9131)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_8796 for (2970ds/4528Mi)
% 22.66/4.62 % (9130)Instruction limit reached!
% 22.66/4.62 % (9130)------------------------------
% 22.66/4.62 % (9130)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.66/4.62 % (9130)Termination reason: Unknown
% 22.66/4.62 % (9130)Termination phase: Saturation
% 22.66/4.62
% 22.66/4.62 % (9130)Memory used [KB]: 7419
% 22.66/4.62 % (9130)Time elapsed: 0.281 s
% 22.66/4.62 % (9130)Instructions burned: 867 (million)
% 22.66/4.62 % (9130)------------------------------
% 22.66/4.62 % (9130)------------------------------
% 22.66/4.63 % (9132)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_8796 for (2968ds/1001Mi)
% 22.66/4.65 % (9120)Instruction limit reached!
% 22.66/4.65 % (9120)------------------------------
% 22.66/4.65 % (9120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.66/4.65 % (9120)Termination reason: Unknown
% 22.66/4.65 % (9120)Termination phase: Saturation
% 22.66/4.65
% 22.66/4.65 % (9120)Memory used [KB]: 9850
% 22.66/4.65 % (9120)Time elapsed: 0.617 s
% 22.66/4.65 % (9120)Instructions burned: 1982 (million)
% 22.66/4.65 % (9120)------------------------------
% 22.66/4.65 % (9120)------------------------------
% 22.66/4.66 % (9133)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_8796 for (2967ds/102Mi)
% 22.66/4.69 % (9133)Instruction limit reached!
% 22.66/4.69 % (9133)------------------------------
% 22.66/4.69 % (9133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.66/4.69 % (9133)Termination reason: Unknown
% 22.66/4.69 % (9133)Termination phase: Saturation
% 22.66/4.69
% 22.66/4.69 % (9133)Memory used [KB]: 6268
% 22.66/4.69 % (9133)Time elapsed: 0.031 s
% 22.66/4.69 % (9133)Instructions burned: 105 (million)
% 22.66/4.69 % (9133)------------------------------
% 22.66/4.69 % (9133)------------------------------
% 23.90/4.70 % (9134)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_8796 for (2967ds/952Mi)
% 23.90/4.76 % (9079)Instruction limit reached!
% 23.90/4.76 % (9079)------------------------------
% 23.90/4.76 % (9079)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.90/4.76 % (9079)Termination reason: Unknown
% 23.90/4.76 % (9079)Termination phase: Saturation
% 23.90/4.76
% 23.90/4.76 % (9079)Memory used [KB]: 7419
% 23.90/4.76 % (9079)Time elapsed: 1.581 s
% 23.90/4.76 % (9079)Instructions burned: 5413 (million)
% 23.90/4.76 % (9079)------------------------------
% 23.90/4.76 % (9079)------------------------------
% 23.90/4.77 % (9094)Instruction limit reached!
% 23.90/4.77 % (9094)------------------------------
% 23.90/4.77 % (9094)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.90/4.77 % (9094)Termination reason: Unknown
% 23.90/4.77 % (9094)Termination phase: Saturation
% 23.90/4.77
% 23.90/4.77 % (9094)Memory used [KB]: 10618
% 23.90/4.77 % (9094)Time elapsed: 1.058 s
% 23.90/4.77 % (9094)Instructions burned: 3373 (million)
% 23.90/4.77 % (9094)------------------------------
% 23.90/4.77 % (9094)------------------------------
% 23.90/4.77 % (9138)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_8796 for (2966ds/578Mi)
% 23.90/4.78 % Exception at run slice level
% 23.90/4.78 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 23.90/4.78 % (9139)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_8796 for (2966ds/643Mi)
% 23.90/4.78 % Exception at run slice level
% 23.90/4.78 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 23.90/4.78 % (9140)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_8796 for (2966ds/865Mi)
% 23.90/4.79 % (9149)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_8796 for (2966ds/1174Mi)
% 24.31/4.94 % (9132)Instruction limit reached!
% 24.31/4.94 % (9132)------------------------------
% 24.31/4.94 % (9132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.31/4.94 % (9132)Termination reason: Unknown
% 24.31/4.94 % (9132)Termination phase: Saturation
% 24.31/4.94
% 24.31/4.94 % (9132)Memory used [KB]: 9722
% 24.31/4.94 % (9132)Time elapsed: 0.312 s
% 24.31/4.94 % (9132)Instructions burned: 1001 (million)
% 24.31/4.94 % (9132)------------------------------
% 24.31/4.94 % (9132)------------------------------
% 24.31/4.95 % (9156)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_8796 for (2964ds/644Mi)
% 24.31/5.00 % (9134)Instruction limit reached!
% 24.31/5.00 % (9134)------------------------------
% 24.31/5.00 % (9134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.31/5.00 % (9134)Termination reason: Unknown
% 24.31/5.00 % (9134)Termination phase: Saturation
% 24.31/5.00
% 24.31/5.00 % (9134)Memory used [KB]: 8827
% 24.31/5.00 % (9134)Time elapsed: 0.300 s
% 24.31/5.00 % (9134)Instructions burned: 954 (million)
% 24.31/5.00 % (9134)------------------------------
% 24.31/5.00 % (9134)------------------------------
% 24.31/5.01 % (9157)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_8796 for (2964ds/1201Mi)
% 26.88/5.06 % (9140)Instruction limit reached!
% 26.88/5.06 % (9140)------------------------------
% 26.88/5.06 % (9140)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.88/5.06 % (9140)Termination reason: Unknown
% 26.88/5.06 % (9140)Termination phase: Saturation
% 26.88/5.06
% 26.88/5.06 % (9140)Memory used [KB]: 7675
% 26.88/5.06 % (9140)Time elapsed: 0.272 s
% 26.88/5.06 % (9140)Instructions burned: 865 (million)
% 26.88/5.06 % (9140)------------------------------
% 26.88/5.06 % (9140)------------------------------
% 26.88/5.07 % (9158)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_8796 for (2963ds/1046Mi)
% 26.88/5.07 % Exception at run slice level
% 26.88/5.07 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 26.88/5.08 % (9159)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_8796 for (2963ds/222Mi)
% 26.88/5.08 % Exception at run slice level
% 26.88/5.08 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 26.88/5.09 % (9160)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 DTF2THF_8796 for (2963ds/68Mi)
% 26.88/5.10 % (9049)Instruction limit reached!
% 26.88/5.10 % (9049)------------------------------
% 26.88/5.10 % (9049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.88/5.10 % (9049)Termination reason: Unknown
% 26.88/5.10 % (9049)Termination phase: Saturation
% 26.88/5.10
% 26.88/5.10 % (9049)Memory used [KB]: 16502
% 26.88/5.10 % (9049)Time elapsed: 2.489 s
% 26.88/5.10 % (9049)Instructions burned: 8251 (million)
% 26.88/5.10 % (9049)------------------------------
% 26.88/5.10 % (9049)------------------------------
% 26.88/5.11 % (9160)Instruction limit reached!
% 26.88/5.11 % (9160)------------------------------
% 26.88/5.11 % (9160)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.88/5.11 % (9160)Termination reason: Unknown
% 26.88/5.11 % (9160)Termination phase: Saturation
% 26.88/5.11
% 26.88/5.11 % (9160)Memory used [KB]: 6140
% 26.88/5.11 % (9160)Time elapsed: 0.024 s
% 26.88/5.11 % (9160)Instructions burned: 70 (million)
% 26.88/5.11 % (9160)------------------------------
% 26.88/5.11 % (9160)------------------------------
% 26.88/5.11 % (9161)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=454:si=on:rtra=on_0 on DTF2THF_8796 for (2963ds/454Mi)
% 26.88/5.11 % Exception at run slice level
% 26.88/5.11 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 26.88/5.12 % (9162)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_8796 for (2963ds/360Mi)
% 26.88/5.12 % Exception at run slice level
% 26.88/5.12 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 26.88/5.12 % (9163)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 DTF2THF_8796 for (2963ds/157Mi)
% 26.88/5.12 % Exception at run slice level
% 26.88/5.12 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 27.52/5.13 % (9164)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_8796 for (2963ds/5061Mi)
% 27.52/5.13 % Exception at run slice level
% 27.52/5.13 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 27.52/5.13 % (9165)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_8796 for (2963ds/2401Mi)
% 27.52/5.14 % (9166)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_8796 for (2963ds/5798Mi)
% 27.52/5.15 % (9156)Instruction limit reached!
% 27.52/5.15 % (9156)------------------------------
% 27.52/5.15 % (9156)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.52/5.15 % (9156)Termination reason: Unknown
% 27.52/5.15 % (9156)Termination phase: Saturation
% 27.52/5.15
% 27.52/5.15 % (9156)Memory used [KB]: 6652
% 27.52/5.15 % (9156)Time elapsed: 0.201 s
% 27.52/5.15 % (9156)Instructions burned: 646 (million)
% 27.52/5.15 % (9156)------------------------------
% 27.52/5.15 % (9156)------------------------------
% 27.52/5.16 % (9167)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_8796 for (2962ds/346Mi)
% 27.52/5.16 % Exception at run slice level
% 27.52/5.16 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 27.52/5.16 % (9149)Instruction limit reached!
% 27.52/5.16 % (9149)------------------------------
% 27.52/5.16 % (9149)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.52/5.16 % (9149)Termination reason: Unknown
% 27.52/5.16 % (9149)Termination phase: Saturation
% 27.52/5.16
% 27.52/5.16 % (9149)Memory used [KB]: 7803
% 27.52/5.16 % (9149)Time elapsed: 0.372 s
% 27.52/5.16 % (9149)Instructions burned: 1175 (million)
% 27.52/5.16 % (9149)------------------------------
% 27.52/5.16 % (9149)------------------------------
% 27.52/5.17 % (9168)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_8796 for (2962ds/1321Mi)
% 27.52/5.17 % (9169)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_8796 for (2962ds/1312Mi)
% 27.52/5.17 % Exception at run slice level
% 27.52/5.17 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 27.52/5.18 % (9170)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_8796 for (2962ds/672Mi)
% 27.97/5.38 % (9157)Instruction limit reached!
% 27.97/5.38 % (9157)------------------------------
% 27.97/5.38 % (9157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.97/5.38 % (9157)Termination reason: Unknown
% 27.97/5.38 % (9157)Termination phase: Saturation
% 27.97/5.38
% 27.97/5.38 % (9157)Memory used [KB]: 8059
% 27.97/5.38 % (9157)Time elapsed: 0.377 s
% 27.97/5.38 % (9157)Instructions burned: 1201 (million)
% 27.97/5.38 % (9157)------------------------------
% 27.97/5.38 % (9157)------------------------------
% 27.97/5.39 % (9170)Instruction limit reached!
% 27.97/5.39 % (9170)------------------------------
% 27.97/5.39 % (9170)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.97/5.39 % (9170)Termination reason: Unknown
% 27.97/5.39 % (9170)Termination phase: Saturation
% 27.97/5.39
% 27.97/5.39 % (9170)Memory used [KB]: 7547
% 27.97/5.39 % (9170)Time elapsed: 0.207 s
% 27.97/5.39 % (9170)Instructions burned: 672 (million)
% 27.97/5.39 % (9170)------------------------------
% 27.97/5.39 % (9170)------------------------------
% 27.97/5.39 % (9171)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_8796 for (2960ds/1897Mi)
% 28.78/5.40 % (9172)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_8796 for (2960ds/1202Mi)
% 28.98/5.58 % (9168)Instruction limit reached!
% 28.98/5.58 % (9168)------------------------------
% 28.98/5.58 % (9168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.98/5.58 % (9168)Termination reason: Unknown
% 28.98/5.58 % (9168)Termination phase: Saturation
% 28.98/5.58
% 28.98/5.58 % (9168)Memory used [KB]: 2686
% 28.98/5.58 % (9168)Time elapsed: 0.410 s
% 28.98/5.58 % (9168)Instructions burned: 1322 (million)
% 28.98/5.58 % (9168)------------------------------
% 28.98/5.58 % (9168)------------------------------
% 28.98/5.59 % (9173)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_8796 for (2958ds/1493Mi)
% 28.98/5.59 % Exception at run slice level
% 28.98/5.59 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 29.60/5.60 % (9174)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on DTF2THF_8796 for (2958ds/7679Mi)
% 29.80/5.76 % (9172)Instruction limit reached!
% 29.80/5.76 % (9172)------------------------------
% 29.80/5.76 % (9172)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.80/5.76 % (9172)Termination reason: Unknown
% 29.80/5.76 % (9172)Termination phase: Saturation
% 29.80/5.76
% 29.80/5.76 % (9172)Memory used [KB]: 2814
% 29.80/5.76 % (9172)Time elapsed: 0.360 s
% 29.80/5.76 % (9172)Instructions burned: 1203 (million)
% 29.80/5.76 % (9172)------------------------------
% 29.80/5.76 % (9172)------------------------------
% 29.80/5.77 % (9175)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on DTF2THF_8796 for (2956ds/340Mi)
% 29.80/5.77 % (9131)Instruction limit reached!
% 29.80/5.77 % (9131)------------------------------
% 29.80/5.77 % (9131)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.80/5.77 % (9131)Termination reason: Unknown
% 29.80/5.77 % (9131)Termination phase: Saturation
% 29.80/5.77
% 29.80/5.77 % (9131)Memory used [KB]: 2174
% 29.80/5.77 % (9131)Time elapsed: 1.343 s
% 29.80/5.77 % (9131)Instructions burned: 4530 (million)
% 29.80/5.77 % (9131)------------------------------
% 29.80/5.77 % (9131)------------------------------
% 29.80/5.78 % (9176)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on DTF2THF_8796 for (2956ds/3672Mi)
% 30.36/5.85 % (9165)Instruction limit reached!
% 30.36/5.85 % (9165)------------------------------
% 30.36/5.85 % (9165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.36/5.85 % (9165)Termination reason: Unknown
% 30.36/5.85 % (9165)Termination phase: Saturation
% 30.36/5.85
% 30.36/5.85 % (9165)Memory used [KB]: 11257
% 30.36/5.85 % (9165)Time elapsed: 0.723 s
% 30.36/5.85 % (9165)Instructions burned: 2402 (million)
% 30.36/5.85 % (9165)------------------------------
% 30.36/5.85 % (9165)------------------------------
% 30.36/5.87 % (9195)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on DTF2THF_8796 for (2955ds/1535Mi)
% 30.36/5.87 % Exception at run slice level
% 30.36/5.87 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 30.36/5.87 % (9175)Instruction limit reached!
% 30.36/5.87 % (9175)------------------------------
% 30.36/5.87 % (9175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.36/5.87 % (9175)Termination reason: Unknown
% 30.36/5.87 % (9175)Termination phase: Saturation
% 30.36/5.87
% 30.36/5.87 % (9175)Memory used [KB]: 6268
% 30.36/5.87 % (9175)Time elapsed: 0.107 s
% 30.36/5.87 % (9175)Instructions burned: 341 (million)
% 30.36/5.87 % (9175)------------------------------
% 30.36/5.87 % (9175)------------------------------
% 30.36/5.88 % (9196)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on DTF2THF_8796 for (2955ds/4637Mi)
% 30.36/5.88 % (9197)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_8796 for (2955ds/3174Mi)
% 31.31/6.00 % (9171)Instruction limit reached!
% 31.31/6.00 % (9171)------------------------------
% 31.31/6.00 % (9171)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.31/6.00 % (9171)Termination reason: Unknown
% 31.31/6.00 % (9171)Termination phase: Saturation
% 31.31/6.00
% 31.31/6.00 % (9171)Memory used [KB]: 8571
% 31.31/6.00 % (9171)Time elapsed: 0.603 s
% 31.31/6.00 % (9171)Instructions burned: 1897 (million)
% 31.31/6.00 % (9171)------------------------------
% 31.31/6.00 % (9171)------------------------------
% 31.31/6.01 % (9198)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_8796 for (2954ds/307Mi)
% 31.31/6.01 % Exception at run slice level
% 31.31/6.01 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 31.31/6.02 % (9199)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on DTF2THF_8796 for (2954ds/3619Mi)
% 33.88/6.07 % (9176)First to succeed.
% 33.88/6.08 % (9176)Refutation found. Thanks to Tanya!
% 33.88/6.08 % SZS status Theorem for DTF2THF_8796
% 33.88/6.08 % SZS output start Proof for DTF2THF_8796
% 33.88/6.08 thf(type_def_6, type, sK0: $tType).
% 33.88/6.08 thf(type_def_7, type, sK1: $tType).
% 33.88/6.08 thf(type_def_8, type, sK2: $tType).
% 33.88/6.08 thf(type_def_9, type, sK3: $tType).
% 33.88/6.08 thf(func_def_0, type, tyop_2Emin_2Ebool: $tType).
% 33.88/6.08 thf(func_def_1, type, tyop_2Emin_2Efun: ($tType * $tType) > $tType).
% 33.88/6.08 thf(func_def_2, type, c_2Ebool_2E_21: !>[X0: $tType]:((X0 > $o) > $o)).
% 33.88/6.08 thf(func_def_3, type, c_2Equotient_2E_2D_2D_3E: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > X2) > (X1 > X3) > (X2 > X1) > X0 > X3)).
% 33.88/6.08 thf(func_def_4, type, c_2Ebool_2E_2F_5C: $o > $o > $o).
% 33.88/6.08 thf(func_def_5, type, c_2Emin_2E_3D: !>[X0: $tType]:(X0 > X0 > $o)).
% 33.88/6.08 thf(func_def_6, type, c_2Equotient_2E_3D_3D_3D_3E: !>[X0: $tType, X1: $tType]:((X0 > X0 > $o) > (X1 > X1 > $o) > (X0 > X1) > (X0 > X1) > $o)).
% 33.88/6.08 thf(func_def_7, type, c_2Emin_2E_3D_3D_3E: $o > $o > $o).
% 33.88/6.08 thf(func_def_8, type, c_2Ebool_2E_3F: !>[X0: $tType]:((X0 > $o) > $o)).
% 33.88/6.08 thf(func_def_10, type, c_2Equotient_2EQUOTIENT: !>[X0: $tType, X1: $tType]:((X0 > X0 > $o) > (X0 > X1) > (X1 > X0) > $o)).
% 33.88/6.08 thf(func_def_12, type, c_2Ecombin_2EW: !>[X0: $tType, X1: $tType]:((X0 > X0 > X1) > X0 > X1)).
% 33.88/6.08 thf(func_def_13, type, c_2Ebool_2E_5C_2F: $o > $o > $o).
% 33.88/6.08 thf(func_def_14, type, c_2Equotient_2Erespects: !>[X0: $tType, X1: $tType]:((X0 > X0 > X1) > X0 > X1)).
% 33.88/6.08 thf(func_def_15, type, c_2Ebool_2E_7E: $o > $o).
% 33.88/6.08 thf(func_def_20, type, sK4: sK0 > sK0 > $o).
% 33.88/6.08 thf(func_def_21, type, sK5: sK0 > sK2).
% 33.88/6.08 thf(func_def_22, type, sK6: sK2 > sK0).
% 33.88/6.08 thf(func_def_23, type, sK7: sK1 > sK1 > $o).
% 33.88/6.08 thf(func_def_24, type, sK8: sK1 > sK3).
% 33.88/6.08 thf(func_def_25, type, sK9: sK3 > sK1).
% 33.88/6.08 thf(func_def_26, type, sK10: sK0 > sK1).
% 33.88/6.08 thf(func_def_27, type, sK11: sK0 > sK1).
% 33.88/6.08 thf(func_def_29, type, ph13: !>[X0: $tType]:(X0)).
% 33.88/6.08 thf(func_def_30, type, sK14: sK2).
% 33.88/6.08 thf(func_def_31, type, sK15: (sK0 > sK1) > sK2).
% 33.88/6.08 thf(func_def_32, type, sK16: (sK0 > sK1) > sK2).
% 33.88/6.08 thf(func_def_33, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X1 > X3) > (X2 > X1) > (X2 > X1) > (X0 > X2) > X0)).
% 33.88/6.08 thf(func_def_34, type, sK18: (sK0 > sK1) > sK2).
% 33.88/6.08 thf(func_def_35, type, sK19: (sK0 > sK1) > sK2).
% 33.88/6.08 thf(f1393,plain,(
% 33.88/6.08 $false),
% 33.88/6.08 inference(avatar_sat_refutation,[status(thm)],[f122,f127,f132,f133,f138,f146,f151,f519,f588,f595,f604,f611,f763,f767,f786,f794,f810,f849,f851,f888,f898,f907,f915,f951,f1336,f1347,f1392])).
% 33.88/6.08 thf(f1392,plain,(
% 33.88/6.08 spl12_27 | spl12_28 | ~spl12_12 | ~spl12_14 | ~spl12_19 | ~spl12_34),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f1391,f1334,f335,f308,f184,f761,f758])).
% 33.88/6.08 thf(f758,definition,(
% 33.88/6.08 spl12_27 <=> ! [X1 : sK0 > sK2] : ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6))),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_27])],[avatar_definition])).
% 33.88/6.08 thf(f761,definition,(
% 33.88/6.08 spl12_28 <=> ! [X0 : sK3 > sK1] : ($true != (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0))),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_28])],[avatar_definition])).
% 33.88/6.08 thf(f184,definition,(
% 33.88/6.08 spl12_12 <=> ($true = (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK10))),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_12])],[avatar_definition])).
% 33.88/6.08 thf(f308,definition,(
% 33.88/6.08 spl12_14 <=> ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11) = $false)),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_14])],[avatar_definition])).
% 33.88/6.08 thf(f335,definition,(
% 33.88/6.08 spl12_19 <=> ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11) = $true)),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_19])],[avatar_definition])).
% 33.88/6.08 thf(f1334,definition,(
% 33.88/6.08 spl12_34 <=> ! [X2 : sK1 > sK1 > $o,X4 : sK0 > sK2,X3 : sK3 > sK1,X1 : sK0 > sK0 > $o] : (($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X1 @ X4 @ sK6)) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK11 @ sK11) != $true) | ($true = (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK10 @ sK11)) | ((c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X2 @ sK8 @ X3) != $true) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK10 @ sK10)))),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_34])],[avatar_definition])).
% 33.88/6.08 thf(f1391,plain,(
% 33.88/6.08 ( ! [X0 : sK3 > sK1,X1 : sK0 > sK2] : (($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6)) | ($true != (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0))) ) | (~spl12_12 | ~spl12_14 | ~spl12_19 | ~spl12_34)),
% 33.88/6.08 inference(subsumption_resolution,[status(thm)],[f1390,f185])).
% 33.88/6.08 thf(f185,plain,(
% 33.88/6.08 ($true = (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK10)) | ~spl12_12),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f184])).
% 33.88/6.08 thf(f1390,plain,(
% 33.88/6.08 ( ! [X0 : sK3 > sK1,X1 : sK0 > sK2] : (($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK10)) | ($true != (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0))) ) | (~spl12_14 | ~spl12_19 | ~spl12_34)),
% 33.88/6.08 inference(subsumption_resolution,[status(thm)],[f1385,f336])).
% 33.88/6.08 thf(f336,plain,(
% 33.88/6.08 ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11) = $true) | ~spl12_19),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f335])).
% 33.88/6.08 thf(f1385,plain,(
% 33.88/6.08 ( ! [X0 : sK3 > sK1,X1 : sK0 > sK2] : (($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6)) | ($true != (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0)) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11) != $true) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK10))) ) | (~spl12_14 | ~spl12_34)),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f1383])).
% 33.88/6.08 thf(f1383,plain,(
% 33.88/6.08 ( ! [X0 : sK3 > sK1,X1 : sK0 > sK2] : (($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6)) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11) != $true) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK10)) | ($true = $false) | ($true != (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0))) ) | (~spl12_14 | ~spl12_34)),
% 33.88/6.08 inference(superposition,[status(thm)],[f1335,f310])).
% 33.88/6.08 thf(f310,plain,(
% 33.88/6.08 ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11) = $false) | ~spl12_14),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f308])).
% 33.88/6.08 thf(f1335,plain,(
% 33.88/6.08 ( ! [X2 : sK1 > sK1 > $o,X3 : sK3 > sK1,X1 : sK0 > sK0 > $o,X4 : sK0 > sK2] : (($true = (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK10 @ sK11)) | ((c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X2 @ sK8 @ X3) != $true) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK11 @ sK11) != $true) | ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X1 @ X4 @ sK6)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK10 @ sK10))) ) | ~spl12_34),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f1334])).
% 33.88/6.08 thf(f1347,plain,(
% 33.88/6.08 spl12_28 | spl12_27 | ~spl12_19 | ~spl12_33),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f1344,f1304,f335,f758,f761])).
% 33.88/6.08 thf(f1304,definition,(
% 33.88/6.08 spl12_33 <=> ! [X5 : sK0 > sK0 > $o,X7 : sK1 > sK1 > $o,X0 : sK0 > sK1,X6 : sK0 > sK2,X8 : sK3 > sK1] : (((c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X7 @ sK8 @ X8) != $true) | ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X5 @ X6 @ sK6)) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X5 @ X7 @ X0 @ sK11) != $true))),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_33])],[avatar_definition])).
% 33.88/6.08 thf(f1344,plain,(
% 33.88/6.08 ( ! [X0 : sK3 > sK1,X1 : sK0 > sK2] : (($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6)) | ($true != (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0))) ) | (~spl12_19 | ~spl12_33)),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f1339])).
% 33.88/6.08 thf(f1339,plain,(
% 33.88/6.08 ( ! [X0 : sK3 > sK1,X1 : sK0 > sK2] : (($true != (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0)) | ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6)) | ($true != $true)) ) | (~spl12_19 | ~spl12_33)),
% 33.88/6.08 inference(superposition,[status(thm)],[f1305,f336])).
% 33.88/6.08 thf(f1305,plain,(
% 33.88/6.08 ( ! [X0 : sK0 > sK1,X8 : sK3 > sK1,X6 : sK0 > sK2,X7 : sK1 > sK1 > $o,X5 : sK0 > sK0 > $o] : (((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X5 @ X7 @ X0 @ sK11) != $true) | ((c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X7 @ sK8 @ X8) != $true) | ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X5 @ X6 @ sK6))) ) | ~spl12_33),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f1304])).
% 33.88/6.08 thf(f1336,plain,(
% 33.88/6.08 spl12_33 | spl12_34 | ~spl12_1),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f1329,f115,f1334,f1304])).
% 33.88/6.08 thf(f115,definition,(
% 33.88/6.08 spl12_1 <=> ((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11) = (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10))),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_1])],[avatar_definition])).
% 33.88/6.08 thf(f1329,plain,(
% 33.88/6.08 ( ! [X2 : sK1 > sK1 > $o,X3 : sK3 > sK1,X0 : sK0 > sK1,X1 : sK0 > sK0 > $o,X8 : sK3 > sK1,X6 : sK0 > sK2,X7 : sK1 > sK1 > $o,X4 : sK0 > sK2,X5 : sK0 > sK0 > $o] : (((c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X7 @ sK8 @ X8) != $true) | ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X5 @ X6 @ sK6)) | ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X1 @ X4 @ sK6)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK10 @ sK10)) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X5 @ X7 @ X0 @ sK11) != $true) | ((c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X2 @ sK8 @ X3) != $true) | ($true = (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK10 @ sK11)) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK11 @ sK11) != $true)) ) | ~spl12_1),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f1319])).
% 33.88/6.08 thf(f1319,plain,(
% 33.88/6.08 ( ! [X2 : sK1 > sK1 > $o,X3 : sK3 > sK1,X0 : sK0 > sK1,X1 : sK0 > sK0 > $o,X8 : sK3 > sK1,X6 : sK0 > sK2,X7 : sK1 > sK1 > $o,X4 : sK0 > sK2,X5 : sK0 > sK0 > $o] : (($true = (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK10 @ sK11)) | ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X5 @ X6 @ sK6)) | ((c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X2 @ sK8 @ X3) != $true) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X5 @ X7 @ X0 @ sK11) != $true) | ((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X0) != (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X0)) | ((c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X7 @ sK8 @ X8) != $true) | ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X1 @ X4 @ sK6)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK10 @ sK10)) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X1 @ X2 @ sK11 @ sK11) != $true)) ) | ~spl12_1),
% 33.88/6.08 inference(superposition,[status(thm)],[f1102,f813])).
% 33.88/6.08 thf(f813,plain,(
% 33.88/6.08 ( ! [X2 : sK3 > sK1,X3 : sK0 > sK0 > $o,X0 : sK0 > sK1,X1 : sK1 > sK1 > $o,X4 : sK0 > sK2] : (((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X0) = (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10)) | ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X3 @ X4 @ sK6)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X3 @ X1 @ X0 @ sK11)) | ($true != (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X1 @ sK8 @ X2))) ) | ~spl12_1),
% 33.88/6.08 inference(superposition,[status(thm)],[f117,f257])).
% 33.88/6.08 thf(f257,plain,(
% 33.88/6.08 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X10 : X2 > X3,X11 : X2 > X3,X8 : X2 > X0,X6 : X0 > X2,X9 : X1 > X3,X7 : X3 > X1,X4 : X2 > X2 > $o,X5 : X3 > X3 > $o] : (((c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X6 @ X7 @ X11) = (c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X6 @ X7 @ X10)) | ($true != (c_2Equotient_2EQUOTIENT @ X3 @ X1 @ X5 @ X7 @ X9)) | ($true != (c_2Equotient_2EQUOTIENT @ X2 @ X0 @ X4 @ X8 @ X6)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X11 @ X10))) )),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f253])).
% 33.88/6.08 thf(f253,plain,(
% 33.88/6.08 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X10 : X2 > X3,X11 : X2 > X3,X8 : X2 > X0,X6 : X0 > X2,X9 : X1 > X3,X7 : X3 > X1,X4 : X2 > X2 > $o,X5 : X3 > X3 > $o] : (($true != (c_2Equotient_2EQUOTIENT @ X2 @ X0 @ X4 @ X8 @ X6)) | ($true != $true) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X11 @ X10)) | ((c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X6 @ X7 @ X11) = (c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X6 @ X7 @ X10)) | ($true != (c_2Equotient_2EQUOTIENT @ X3 @ X1 @ X5 @ X7 @ X9))) )),
% 33.88/6.08 inference(superposition,[status(thm)],[f77,f78])).
% 33.88/6.08 thf(f78,plain,(
% 33.88/6.08 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X8 : X1 > X3,X6 : X2 > X0,X9 : X3 > X1,X7 : X1 > X1 > $o,X4 : X0 > X0 > $o,X5 : X0 > X2] : (($true = (c_2Equotient_2EQUOTIENT @ (X0 > X1) @ (X2 > X3) @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ (c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8) @ (c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X5 @ X9))) | ((c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6) != $true) | ($true != (c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9))) )),
% 33.88/6.08 inference(cnf_transformation,[status(thm)],[f54])).
% 33.88/6.08 thf(f54,plain,(
% 33.88/6.08 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : X0 > X0 > $o,X5 : X0 > X2,X6 : X2 > X0] : (((c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6) != $true) | ! [X7 : X1 > X1 > $o,X8 : X1 > X3,X9 : X3 > X1] : (($true != (c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9)) | ($true = (c_2Equotient_2EQUOTIENT @ (X0 > X1) @ (X2 > X3) @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ (c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8) @ (c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X5 @ X9)))))),
% 33.88/6.08 inference(ennf_transformation,[status(thm)],[f37])).
% 33.88/6.08 thf(f37,plain,(
% 33.88/6.08 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : X0 > X0 > $o,X5 : X0 > X2,X6 : X2 > X0] : (((c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6) = $true) => ! [X7 : X1 > X1 > $o,X8 : X1 > X3,X9 : X3 > X1] : (($true = (c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9)) => ($true = (c_2Equotient_2EQUOTIENT @ (X0 > X1) @ (X2 > X3) @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ (c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8) @ (c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X5 @ X9)))))),
% 33.88/6.08 inference(fool_elimination,[status(thm)],[f36])).
% 33.88/6.08 thf(f36,plain,(
% 33.88/6.08 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : X0 > X0 > $o,X5 : X0 > X2,X6 : X2 > X0] : ((c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6) => ! [X7 : X1 > X1 > $o,X8 : X1 > X3,X9 : X3 > X1] : ((c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9) => (c_2Equotient_2EQUOTIENT @ (X0 > X1) @ (X2 > X3) @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ (c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8) @ (c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X5 @ X9))))),
% 33.88/6.08 inference(rectify,[status(thm)],[f15])).
% 33.88/6.08 thf(f15,axiom,(
% 33.88/6.08 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X17 : X0 > X0 > $o,X18 : X0 > X2,X19 : X2 > X0] : ((c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X17 @ X18 @ X19) => ! [X20 : X1 > X1 > $o,X21 : X1 > X3,X22 : X3 > X1] : ((c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X20 @ X21 @ X22) => (c_2Equotient_2EQUOTIENT @ (X0 > X1) @ (X2 > X3) @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X17 @ X20) @ (c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X19 @ X21) @ (c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X18 @ X22))))),
% 33.88/6.08 file('/export/starexec/sandbox2/tmp/tmp.m1C5hAK84D/DTF2THF_8796.p',thm_2Equotient_2EFUN__QUOTIENT)).
% 33.88/6.08 thf(f77,plain,(
% 33.88/6.08 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X0 > $o,X3 : X0 > X1,X6 : X0,X4 : X1 > X0,X5 : X0] : (($true != (c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4)) | ((X3 @ X6) = (X3 @ X5)) | ((X2 @ X5 @ X6) != $true)) )),
% 33.88/6.08 inference(cnf_transformation,[status(thm)],[f59])).
% 33.88/6.08 thf(f59,plain,(
% 33.88/6.08 ! [X0 : $tType,X1 : $tType,X2 : X0 > X0 > $o,X3 : X0 > X1,X4 : X1 > X0] : (! [X5 : X0,X6 : X0] : (((((X3 @ X6) = (X3 @ X5)) & ((X2 @ X5 @ X5) = $true) & ($true = (X2 @ X6 @ X6))) | ((X2 @ X5 @ X6) != $true)) & (((X2 @ X5 @ X6) = $true) | ((X3 @ X6) != (X3 @ X5)) | ((X2 @ X5 @ X5) != $true) | ($true != (X2 @ X6 @ X6)))) | ($true != (c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4)))),
% 33.88/6.08 inference(flattening,[status(thm)],[f58])).
% 33.88/6.08 thf(f58,plain,(
% 33.88/6.08 ! [X0 : $tType,X1 : $tType,X2 : X0 > X0 > $o,X3 : X0 > X1,X4 : X1 > X0] : (! [X5 : X0,X6 : X0] : (((((X3 @ X6) = (X3 @ X5)) & ((X2 @ X5 @ X5) = $true) & ($true = (X2 @ X6 @ X6))) | ((X2 @ X5 @ X6) != $true)) & (((X2 @ X5 @ X6) = $true) | (((X3 @ X6) != (X3 @ X5)) | ((X2 @ X5 @ X5) != $true) | ($true != (X2 @ X6 @ X6))))) | ($true != (c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4)))),
% 33.88/6.08 inference(nnf_transformation,[status(thm)],[f51])).
% 33.88/6.08 thf(f51,plain,(
% 33.88/6.08 ! [X0 : $tType,X1 : $tType,X2 : X0 > X0 > $o,X3 : X0 > X1,X4 : X1 > X0] : (! [X5 : X0,X6 : X0] : ((((X3 @ X6) = (X3 @ X5)) & ((X2 @ X5 @ X5) = $true) & ($true = (X2 @ X6 @ X6))) <=> ((X2 @ X5 @ X6) = $true)) | ($true != (c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4)))),
% 33.88/6.08 inference(ennf_transformation,[status(thm)],[f41])).
% 33.88/6.08 thf(f41,plain,(
% 33.88/6.08 ! [X0 : $tType,X1 : $tType,X2 : X0 > X0 > $o,X3 : X0 > X1,X4 : X1 > X0] : (($true = (c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4)) => ! [X5 : X0,X6 : X0] : ((((X3 @ X6) = (X3 @ X5)) & ((X2 @ X5 @ X5) = $true) & ($true = (X2 @ X6 @ X6))) <=> ((X2 @ X5 @ X6) = $true)))),
% 33.88/6.08 inference(fool_elimination,[status(thm)],[f40])).
% 33.88/6.08 thf(f40,plain,(
% 33.88/6.08 ! [X0 : $tType,X1 : $tType,X2 : X0 > X0 > $o,X3 : X0 > X1,X4 : X1 > X0] : ((c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4) => ! [X5 : X0,X6 : X0] : ((X2 @ X5 @ X6) <=> ((X2 @ X6 @ X6) & (X2 @ X5 @ X5) & ((X3 @ X6) = (X3 @ X5)))))),
% 33.88/6.08 inference(rectify,[status(thm)],[f14])).
% 33.88/6.08 thf(f14,axiom,(
% 33.88/6.08 ! [X0 : $tType,X1 : $tType,X12 : X0 > X0 > $o,X13 : X0 > X1,X14 : X1 > X0] : ((c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X12 @ X13 @ X14) => ! [X15 : X0,X16 : X0] : ((X12 @ X15 @ X16) <=> ((X12 @ X16 @ X16) & (X12 @ X15 @ X15) & ((X13 @ X15) = (X13 @ X16)))))),
% 33.88/6.08 file('/export/starexec/sandbox2/tmp/tmp.m1C5hAK84D/DTF2THF_8796.p',thm_2Equotient_2EQUOTIENT__REL)).
% 33.88/6.08 thf(f117,plain,(
% 33.88/6.08 ((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11) = (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10)) | ~spl12_1),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f115])).
% 33.88/6.08 thf(f1102,plain,(
% 33.88/6.08 ( ! [X2 : sK3 > sK1,X3 : sK0 > sK0 > $o,X0 : sK0 > sK1,X1 : sK1 > sK1 > $o,X4 : sK0 > sK2] : (((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X0) != (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X3 @ X1 @ X0 @ X0)) | ($true = (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X3 @ X1 @ X0 @ sK11)) | ($true != (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X1 @ sK8 @ X2)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X3 @ X1 @ sK11 @ sK11)) | ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X3 @ X4 @ sK6))) ) | ~spl12_1),
% 33.88/6.08 inference(superposition,[status(thm)],[f255,f117])).
% 33.88/6.08 thf(f255,plain,(
% 33.88/6.08 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X10 : X2 > X3,X11 : X2 > X3,X8 : X2 > X0,X6 : X0 > X2,X9 : X1 > X3,X7 : X3 > X1,X4 : X2 > X2 > $o,X5 : X3 > X3 > $o] : (((c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X6 @ X7 @ X11) != (c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X6 @ X7 @ X10)) | ($true != (c_2Equotient_2EQUOTIENT @ X3 @ X1 @ X5 @ X7 @ X9)) | ($true != (c_2Equotient_2EQUOTIENT @ X2 @ X0 @ X4 @ X8 @ X6)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X10 @ X10)) | ((c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X11 @ X11) != $true) | ($true = (c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X11 @ X10))) )),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f250])).
% 33.88/6.08 thf(f250,plain,(
% 33.88/6.08 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X10 : X2 > X3,X11 : X2 > X3,X8 : X2 > X0,X6 : X0 > X2,X9 : X1 > X3,X7 : X3 > X1,X4 : X2 > X2 > $o,X5 : X3 > X3 > $o] : (($true != (c_2Equotient_2EQUOTIENT @ X2 @ X0 @ X4 @ X8 @ X6)) | ($true != $true) | ($true != (c_2Equotient_2EQUOTIENT @ X3 @ X1 @ X5 @ X7 @ X9)) | ((c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X6 @ X7 @ X11) != (c_2Equotient_2E_2D_2D_3E @ X0 @ X3 @ X2 @ X1 @ X6 @ X7 @ X10)) | ($true = (c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X11 @ X10)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X10 @ X10)) | ((c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X11 @ X11) != $true)) )),
% 33.88/6.08 inference(superposition,[status(thm)],[f74,f78])).
% 33.88/6.08 thf(f74,plain,(
% 33.88/6.08 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X0 > $o,X3 : X0 > X1,X6 : X0,X4 : X1 > X0,X5 : X0] : (($true != (c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4)) | ((X2 @ X5 @ X6) = $true) | ((X3 @ X6) != (X3 @ X5)) | ($true != (X2 @ X6 @ X6)) | ((X2 @ X5 @ X5) != $true)) )),
% 33.88/6.08 inference(cnf_transformation,[status(thm)],[f59])).
% 33.88/6.08 thf(f951,plain,(
% 33.88/6.08 spl12_14 | spl12_2 | ~spl12_6),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f937,f140,f119,f308])).
% 33.88/6.08 thf(f119,definition,(
% 33.88/6.08 spl12_2 <=> ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11) = $true)),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_2])],[avatar_definition])).
% 33.88/6.08 thf(f140,definition,(
% 33.88/6.08 spl12_6 <=> ! [X1 : $o] : (($false = X1) | ($true = X1))),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_6])],[avatar_definition])).
% 33.88/6.08 thf(f937,plain,(
% 33.88/6.08 ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11) = $false) | (spl12_2 | ~spl12_6)),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f926])).
% 33.88/6.08 thf(f926,plain,(
% 33.88/6.08 ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11) = $false) | ($true != $true) | (spl12_2 | ~spl12_6)),
% 33.88/6.08 inference(superposition,[status(thm)],[f120,f141])).
% 33.88/6.08 thf(f141,plain,(
% 33.88/6.08 ( ! [X1 : $o] : (($true = X1) | ($false = X1)) ) | ~spl12_6),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f140])).
% 33.88/6.08 thf(f120,plain,(
% 33.88/6.08 ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11) != $true) | spl12_2),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f119])).
% 33.88/6.08 thf(f915,plain,(
% 33.88/6.08 spl12_12 | ~spl12_4),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f912,f129,f184])).
% 33.88/6.08 thf(f129,definition,(
% 33.88/6.08 spl12_4 <=> ($true = (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK10))),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_4])],[avatar_definition])).
% 33.88/6.08 thf(f912,plain,(
% 33.88/6.08 ($true = (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK10)) | ~spl12_4),
% 33.88/6.08 inference(superposition,[status(thm)],[f130,f91])).
% 33.88/6.08 thf(f91,plain,(
% 33.88/6.08 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X0 > X1,X3 : X0] : (((X2 @ X3 @ X3) = (c_2Equotient_2Erespects @ X0 @ X1 @ X2 @ X3))) )),
% 33.88/6.08 inference(definition_unfolding,[status(thm)],[f69,f68])).
% 33.88/6.08 thf(f68,plain,(
% 33.88/6.08 ( ! [X1 : $tType,X0 : $tType] : ((c_2Ecombin_2EW @ X0 @ X1 = c_2Equotient_2Erespects @ X0 @ X1)) )),
% 33.88/6.08 inference(cnf_transformation,[status(thm)],[f16])).
% 33.88/6.08 thf(f16,axiom,(
% 33.88/6.08 ! [X0 : $tType,X1 : $tType] : (c_2Ecombin_2EW @ X0 @ X1 = c_2Equotient_2Erespects @ X0 @ X1)),
% 33.88/6.08 file('/export/starexec/sandbox2/tmp/tmp.m1C5hAK84D/DTF2THF_8796.p',thm_2Equotient_2Erespects__def)).
% 33.88/6.08 thf(f69,plain,(
% 33.88/6.08 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X0 > X1,X3 : X0] : (((c_2Ecombin_2EW @ X0 @ X1 @ X2 @ X3) = (X2 @ X3 @ X3))) )),
% 33.88/6.08 inference(cnf_transformation,[status(thm)],[f50])).
% 33.88/6.08 thf(f50,plain,(
% 33.88/6.08 ! [X0 : $tType,X1 : $tType,X2 : X0 > X0 > X1,X3 : X0] : ((c_2Ecombin_2EW @ X0 @ X1 @ X2 @ X3) = (X2 @ X3 @ X3))),
% 33.88/6.08 inference(rectify,[status(thm)],[f13])).
% 33.88/6.08 thf(f13,axiom,(
% 33.88/6.08 ! [X0 : $tType,X1 : $tType,X6 : X0 > X0 > X1,X7 : X0] : ((c_2Ecombin_2EW @ X0 @ X1 @ X6 @ X7) = (X6 @ X7 @ X7))),
% 33.88/6.08 file('/export/starexec/sandbox2/tmp/tmp.m1C5hAK84D/DTF2THF_8796.p',thm_2Ecombin_2EW__THM)).
% 33.88/6.08 thf(f130,plain,(
% 33.88/6.08 ($true = (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK10)) | ~spl12_4),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f129])).
% 33.88/6.08 thf(f907,plain,(
% 33.88/6.08 spl12_19 | ~spl12_3),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f903,f124,f335])).
% 33.88/6.08 thf(f124,definition,(
% 33.88/6.08 spl12_3 <=> ($true = (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK11))),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_3])],[avatar_definition])).
% 33.88/6.08 thf(f903,plain,(
% 33.88/6.08 ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11) = $true) | ~spl12_3),
% 33.88/6.08 inference(superposition,[status(thm)],[f126,f91])).
% 33.88/6.08 thf(f126,plain,(
% 33.88/6.08 ($true = (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK11)) | ~spl12_3),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f124])).
% 33.88/6.08 thf(f898,plain,(
% 33.88/6.08 spl12_2 | ~spl12_7),
% 33.88/6.08 inference(avatar_contradiction_clause,[status(thm)],[f897])).
% 33.88/6.08 thf(f897,plain,(
% 33.88/6.08 $false | (spl12_2 | ~spl12_7)),
% 33.88/6.08 inference(subsumption_resolution,[status(thm)],[f120,f144])).
% 33.88/6.08 thf(f144,plain,(
% 33.88/6.08 ( ! [X0 : $o] : (($true = X0)) ) | ~spl12_7),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f143])).
% 33.88/6.08 thf(f143,definition,(
% 33.88/6.08 spl12_7 <=> ! [X0 : $o] : ($true = X0)),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_7])],[avatar_definition])).
% 33.88/6.08 thf(f888,plain,(
% 33.88/6.08 spl12_3 | ~spl12_7),
% 33.88/6.08 inference(avatar_contradiction_clause,[status(thm)],[f887])).
% 33.88/6.08 thf(f887,plain,(
% 33.88/6.08 $false | (spl12_3 | ~spl12_7)),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f867])).
% 33.88/6.08 thf(f867,plain,(
% 33.88/6.08 ($true != $true) | (spl12_3 | ~spl12_7)),
% 33.88/6.08 inference(superposition,[status(thm)],[f125,f144])).
% 33.88/6.08 thf(f125,plain,(
% 33.88/6.08 ($true != (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK11)) | spl12_3),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f124])).
% 33.88/6.08 thf(f851,plain,(
% 33.88/6.08 ~spl12_19 | spl12_3),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f850,f124,f335])).
% 33.88/6.08 thf(f850,plain,(
% 33.88/6.08 ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11) != $true) | spl12_3),
% 33.88/6.08 inference(superposition,[status(thm)],[f125,f91])).
% 33.88/6.08 thf(f849,plain,(
% 33.88/6.08 ~spl12_2 | ~spl12_30),
% 33.88/6.08 inference(avatar_contradiction_clause,[status(thm)],[f848])).
% 33.88/6.08 thf(f848,plain,(
% 33.88/6.08 $false | (~spl12_2 | ~spl12_30)),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f841])).
% 33.88/6.08 thf(f841,plain,(
% 33.88/6.08 ($true != $true) | (~spl12_2 | ~spl12_30)),
% 33.88/6.08 inference(superposition,[status(thm)],[f809,f121])).
% 33.88/6.08 thf(f121,plain,(
% 33.88/6.08 ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11) = $true) | ~spl12_2),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f119])).
% 33.88/6.08 thf(f809,plain,(
% 33.88/6.08 ( ! [X3 : sK0 > sK1] : (($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ X3))) ) | ~spl12_30),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f808])).
% 33.88/6.08 thf(f808,definition,(
% 33.88/6.08 spl12_30 <=> ! [X3 : sK0 > sK1] : ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ X3))),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_30])],[avatar_definition])).
% 33.88/6.08 thf(f810,plain,(
% 33.88/6.08 spl12_22 | spl12_30 | spl12_24 | spl12_12),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f801,f184,f566,f808,f560])).
% 33.88/6.08 thf(f560,definition,(
% 33.88/6.08 spl12_22 <=> ! [X4 : $tType,X6 : X4 > sK1,X5 : sK1 > X4] : ($true != (c_2Equotient_2EQUOTIENT @ sK1 @ X4 @ sK7 @ X5 @ X6))),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_22])],[avatar_definition])).
% 33.88/6.08 thf(f566,definition,(
% 33.88/6.08 spl12_24 <=> ! [X0 : $tType,X2 : X0 > sK0,X1 : sK0 > X0] : ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ X0 @ sK4 @ X1 @ X2))),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_24])],[avatar_definition])).
% 33.88/6.08 thf(f801,plain,(
% 33.88/6.08 ( ! [X4 : $tType,X0 : $tType,X2 : X0 > sK0,X3 : sK0 > sK1,X1 : sK0 > X0,X6 : X4 > sK1,X5 : sK1 > X4] : (($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ X3)) | ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ X0 @ sK4 @ X1 @ X2)) | ($true != (c_2Equotient_2EQUOTIENT @ sK1 @ X4 @ sK7 @ X5 @ X6))) ) | spl12_12),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f798])).
% 33.88/6.08 thf(f798,plain,(
% 33.88/6.08 ( ! [X4 : $tType,X0 : $tType,X2 : X0 > sK0,X3 : sK0 > sK1,X1 : sK0 > X0,X6 : X4 > sK1,X5 : sK1 > X4] : (($true != $true) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ X3)) | ($true != (c_2Equotient_2EQUOTIENT @ sK1 @ X4 @ sK7 @ X5 @ X6)) | ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ X0 @ sK4 @ X1 @ X2))) ) | spl12_12),
% 33.88/6.08 inference(superposition,[status(thm)],[f186,f256])).
% 33.88/6.08 thf(f256,plain,(
% 33.88/6.08 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X10 : X2 > X3,X11 : X2 > X3,X8 : X2 > X0,X6 : X0 > X2,X9 : X1 > X3,X7 : X3 > X1,X4 : X2 > X2 > $o,X5 : X3 > X3 > $o] : (($true = (c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X10 @ X10)) | ($true != (c_2Equotient_2EQUOTIENT @ X2 @ X0 @ X4 @ X8 @ X6)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X10 @ X11)) | ($true != (c_2Equotient_2EQUOTIENT @ X3 @ X1 @ X5 @ X7 @ X9))) )),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f251])).
% 33.88/6.08 thf(f251,plain,(
% 33.88/6.08 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X10 : X2 > X3,X11 : X2 > X3,X8 : X2 > X0,X6 : X0 > X2,X9 : X1 > X3,X7 : X3 > X1,X4 : X2 > X2 > $o,X5 : X3 > X3 > $o] : (($true != (c_2Equotient_2EQUOTIENT @ X2 @ X0 @ X4 @ X8 @ X6)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X10 @ X11)) | ($true = (c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X10 @ X10)) | ($true != $true) | ($true != (c_2Equotient_2EQUOTIENT @ X3 @ X1 @ X5 @ X7 @ X9))) )),
% 33.88/6.08 inference(superposition,[status(thm)],[f76,f78])).
% 33.88/6.08 thf(f76,plain,(
% 33.88/6.08 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X0 > $o,X3 : X0 > X1,X6 : X0,X4 : X1 > X0,X5 : X0] : (($true != (c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4)) | ((X2 @ X5 @ X5) = $true) | ((X2 @ X5 @ X6) != $true)) )),
% 33.88/6.08 inference(cnf_transformation,[status(thm)],[f59])).
% 33.88/6.08 thf(f186,plain,(
% 33.88/6.08 ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK10)) | spl12_12),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f184])).
% 33.88/6.08 thf(f794,plain,(
% 33.88/6.08 ~spl12_12 | spl12_4),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f791,f129,f184])).
% 33.88/6.08 thf(f791,plain,(
% 33.88/6.08 ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK10)) | spl12_4),
% 33.88/6.08 inference(superposition,[status(thm)],[f131,f91])).
% 33.88/6.08 thf(f131,plain,(
% 33.88/6.08 ($true != (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK10)) | spl12_4),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f129])).
% 33.88/6.08 thf(f786,plain,(
% 33.88/6.08 ~spl12_5 | ~spl12_28),
% 33.88/6.08 inference(avatar_contradiction_clause,[status(thm)],[f785])).
% 33.88/6.08 thf(f785,plain,(
% 33.88/6.08 $false | (~spl12_5 | ~spl12_28)),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f782])).
% 33.88/6.08 thf(f782,plain,(
% 33.88/6.08 ($true != $true) | (~spl12_5 | ~spl12_28)),
% 33.88/6.08 inference(superposition,[status(thm)],[f762,f137])).
% 33.88/6.08 thf(f137,plain,(
% 33.88/6.08 ($true = (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ sK9)) | ~spl12_5),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f135])).
% 33.88/6.08 thf(f135,definition,(
% 33.88/6.08 spl12_5 <=> ($true = (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ sK9))),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_5])],[avatar_definition])).
% 33.88/6.08 thf(f762,plain,(
% 33.88/6.08 ( ! [X0 : sK3 > sK1] : (($true != (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0))) ) | ~spl12_28),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f761])).
% 33.88/6.08 thf(f767,plain,(
% 33.88/6.08 ~spl12_8 | ~spl12_27),
% 33.88/6.08 inference(avatar_contradiction_clause,[status(thm)],[f766])).
% 33.88/6.08 thf(f766,plain,(
% 33.88/6.08 $false | (~spl12_8 | ~spl12_27)),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f764])).
% 33.88/6.08 thf(f764,plain,(
% 33.88/6.08 ($true != $true) | (~spl12_8 | ~spl12_27)),
% 33.88/6.08 inference(superposition,[status(thm)],[f759,f150])).
% 33.88/6.08 thf(f150,plain,(
% 33.88/6.08 ($true = (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ sK5 @ sK6)) | ~spl12_8),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f148])).
% 33.88/6.08 thf(f148,definition,(
% 33.88/6.08 spl12_8 <=> ($true = (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ sK5 @ sK6))),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_8])],[avatar_definition])).
% 33.88/6.08 thf(f759,plain,(
% 33.88/6.08 ( ! [X1 : sK0 > sK2] : (($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6))) ) | ~spl12_27),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f758])).
% 33.88/6.08 thf(f763,plain,(
% 33.88/6.08 spl12_27 | spl12_28 | spl12_1 | ~spl12_2),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f756,f119,f115,f761,f758])).
% 33.88/6.08 thf(f756,plain,(
% 33.88/6.08 ( ! [X0 : sK3 > sK1,X1 : sK0 > sK2] : (($true != (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0)) | ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6))) ) | (spl12_1 | ~spl12_2)),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f753])).
% 33.88/6.08 thf(f753,plain,(
% 33.88/6.08 ( ! [X0 : sK3 > sK1,X1 : sK0 > sK2] : (($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ X1 @ sK6)) | ($true != $true) | ($true != (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ X0))) ) | (spl12_1 | ~spl12_2)),
% 33.88/6.08 inference(superposition,[status(thm)],[f752,f121])).
% 33.88/6.08 thf(f752,plain,(
% 33.88/6.08 ( ! [X2 : sK0 > sK0 > $o,X3 : sK0 > sK2,X0 : sK1 > sK1 > $o,X1 : sK3 > sK1] : (($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X2 @ X0 @ sK10 @ sK11)) | ($true != (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X0 @ sK8 @ X1)) | ((c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X2 @ X3 @ sK6) != $true)) ) | spl12_1),
% 33.88/6.08 inference(equality_resolution,[status(thm)],[f719])).
% 33.88/6.08 thf(f719,plain,(
% 33.88/6.08 ( ! [X2 : sK3 > sK1,X3 : sK0 > sK0 > $o,X0 : sK0 > sK1,X1 : sK1 > sK1 > $o,X4 : sK0 > sK2] : (((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X0 @ (sK16 @ X0)) != (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10 @ (sK16 @ X0))) | ($true != (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X1 @ sK8 @ X2)) | ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X3 @ X4 @ sK6)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X3 @ X1 @ X0 @ sK11))) ) | spl12_1),
% 33.88/6.08 inference(negative_extensionality,[status(thm)],[f645])).
% 33.88/6.08 thf(f645,plain,(
% 33.88/6.08 ( ! [X2 : sK3 > sK1,X3 : sK0 > sK0 > $o,X0 : sK0 > sK1,X1 : sK1 > sK1 > $o,X4 : sK0 > sK2] : (((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X0) != (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10)) | ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ X3 @ X4 @ sK6)) | ($true != (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X1 @ sK8 @ X2)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ X3 @ X1 @ X0 @ sK11))) ) | spl12_1),
% 33.88/6.08 inference(superposition,[status(thm)],[f116,f257])).
% 33.88/6.08 thf(f116,plain,(
% 33.88/6.08 ((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11) != (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10)) | spl12_1),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f115])).
% 33.88/6.08 thf(f611,plain,(
% 33.88/6.08 ~spl12_8 | ~spl12_24),
% 33.88/6.08 inference(avatar_contradiction_clause,[status(thm)],[f610])).
% 33.88/6.08 thf(f610,plain,(
% 33.88/6.08 $false | (~spl12_8 | ~spl12_24)),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f606])).
% 33.88/6.08 thf(f606,plain,(
% 33.88/6.08 ($true != $true) | (~spl12_8 | ~spl12_24)),
% 33.88/6.08 inference(superposition,[status(thm)],[f567,f150])).
% 33.88/6.08 thf(f567,plain,(
% 33.88/6.08 ( ! [X0 : $tType,X2 : X0 > sK0,X1 : sK0 > X0] : (($true != (c_2Equotient_2EQUOTIENT @ sK0 @ X0 @ sK4 @ X1 @ X2))) ) | ~spl12_24),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f566])).
% 33.88/6.08 thf(f604,plain,(
% 33.88/6.08 ~spl12_2 | ~spl12_25),
% 33.88/6.08 inference(avatar_contradiction_clause,[status(thm)],[f603])).
% 33.88/6.08 thf(f603,plain,(
% 33.88/6.08 $false | (~spl12_2 | ~spl12_25)),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f597])).
% 33.88/6.08 thf(f597,plain,(
% 33.88/6.08 ($true != $true) | (~spl12_2 | ~spl12_25)),
% 33.88/6.08 inference(superposition,[status(thm)],[f586,f121])).
% 33.88/6.08 thf(f586,plain,(
% 33.88/6.08 ( ! [X3 : sK0 > sK1] : (($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ X3 @ sK11))) ) | ~spl12_25),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f585])).
% 33.88/6.08 thf(f585,definition,(
% 33.88/6.08 spl12_25 <=> ! [X3 : sK0 > sK1] : ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ X3 @ sK11))),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_25])],[avatar_definition])).
% 33.88/6.08 thf(f595,plain,(
% 33.88/6.08 ~spl12_5 | ~spl12_22),
% 33.88/6.08 inference(avatar_contradiction_clause,[status(thm)],[f594])).
% 33.88/6.08 thf(f594,plain,(
% 33.88/6.08 $false | (~spl12_5 | ~spl12_22)),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f590])).
% 33.88/6.08 thf(f590,plain,(
% 33.88/6.08 ($true != $true) | (~spl12_5 | ~spl12_22)),
% 33.88/6.08 inference(superposition,[status(thm)],[f561,f137])).
% 33.88/6.08 thf(f561,plain,(
% 33.88/6.08 ( ! [X4 : $tType,X6 : X4 > sK1,X5 : sK1 > X4] : (($true != (c_2Equotient_2EQUOTIENT @ sK1 @ X4 @ sK7 @ X5 @ X6))) ) | ~spl12_22),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f560])).
% 33.88/6.08 thf(f588,plain,(
% 33.88/6.08 spl12_24 | spl12_22 | spl12_25 | ~spl12_21),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f582,f516,f585,f560,f566])).
% 33.88/6.08 thf(f516,definition,(
% 33.88/6.08 spl12_21 <=> ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11) = $false)),
% 33.88/6.08 introduced(definition,[new_symbols(naming,[spl12_21])],[avatar_definition])).
% 33.88/6.08 thf(f582,plain,(
% 33.88/6.08 ( ! [X4 : $tType,X0 : $tType,X2 : X0 > sK0,X3 : sK0 > sK1,X1 : sK0 > X0,X6 : X4 > sK1,X5 : sK1 > X4] : (($true != (c_2Equotient_2EQUOTIENT @ sK0 @ X0 @ sK4 @ X1 @ X2)) | ($true != (c_2Equotient_2EQUOTIENT @ sK1 @ X4 @ sK7 @ X5 @ X6)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ X3 @ sK11))) ) | ~spl12_21),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f578])).
% 33.88/6.08 thf(f578,plain,(
% 33.88/6.08 ( ! [X4 : $tType,X0 : $tType,X2 : X0 > sK0,X3 : sK0 > sK1,X1 : sK0 > X0,X6 : X4 > sK1,X5 : sK1 > X4] : (($true != (c_2Equotient_2EQUOTIENT @ sK1 @ X4 @ sK7 @ X5 @ X6)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ X3 @ sK11)) | ($true != (c_2Equotient_2EQUOTIENT @ sK0 @ X0 @ sK4 @ X1 @ X2)) | ($true = $false)) ) | ~spl12_21),
% 33.88/6.08 inference(superposition,[status(thm)],[f518,f258])).
% 33.88/6.08 thf(f258,plain,(
% 33.88/6.08 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X10 : X2 > X3,X11 : X2 > X3,X8 : X2 > X0,X6 : X0 > X2,X9 : X1 > X3,X7 : X3 > X1,X4 : X2 > X2 > $o,X5 : X3 > X3 > $o] : (((c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X11 @ X11) = $true) | ($true != (c_2Equotient_2EQUOTIENT @ X2 @ X0 @ X4 @ X8 @ X6)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X10 @ X11)) | ($true != (c_2Equotient_2EQUOTIENT @ X3 @ X1 @ X5 @ X7 @ X9))) )),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f252])).
% 33.88/6.08 thf(f252,plain,(
% 33.88/6.08 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X10 : X2 > X3,X11 : X2 > X3,X8 : X2 > X0,X6 : X0 > X2,X9 : X1 > X3,X7 : X3 > X1,X4 : X2 > X2 > $o,X5 : X3 > X3 > $o] : (($true != (c_2Equotient_2EQUOTIENT @ X3 @ X1 @ X5 @ X7 @ X9)) | ($true != (c_2Equotient_2EQUOTIENT @ X2 @ X0 @ X4 @ X8 @ X6)) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X10 @ X11)) | ($true != $true) | ((c_2Equotient_2E_3D_3D_3D_3E @ X2 @ X3 @ X4 @ X5 @ X11 @ X11) = $true)) )),
% 33.88/6.08 inference(superposition,[status(thm)],[f75,f78])).
% 33.88/6.08 thf(f75,plain,(
% 33.88/6.08 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X0 > $o,X3 : X0 > X1,X6 : X0,X4 : X1 > X0,X5 : X0] : (($true != (c_2Equotient_2EQUOTIENT @ X0 @ X1 @ X2 @ X3 @ X4)) | ((X2 @ X5 @ X6) != $true) | ($true = (X2 @ X6 @ X6))) )),
% 33.88/6.08 inference(cnf_transformation,[status(thm)],[f59])).
% 33.88/6.08 thf(f518,plain,(
% 33.88/6.08 ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11) = $false) | ~spl12_21),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f516])).
% 33.88/6.08 thf(f519,plain,(
% 33.88/6.08 spl12_21 | ~spl12_6 | spl12_19),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f514,f335,f140,f516])).
% 33.88/6.08 thf(f514,plain,(
% 33.88/6.08 ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11) = $false) | (~spl12_6 | spl12_19)),
% 33.88/6.08 inference(trivial_inequality_removal,[status(thm)],[f513])).
% 33.88/6.08 thf(f513,plain,(
% 33.88/6.08 ($true != $true) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11) = $false) | (~spl12_6 | spl12_19)),
% 33.88/6.08 inference(superposition,[status(thm)],[f337,f141])).
% 33.88/6.08 thf(f337,plain,(
% 33.88/6.08 ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK11 @ sK11) != $true) | spl12_19),
% 33.88/6.08 inference(avatar_component_clause,[status(thm)],[f335])).
% 33.88/6.08 thf(f151,plain,(
% 33.88/6.08 spl12_8),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f85,f148])).
% 33.88/6.08 thf(f85,plain,(
% 33.88/6.08 ($true = (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ sK5 @ sK6))),
% 33.88/6.08 inference(cnf_transformation,[status(thm)],[f67])).
% 33.88/6.08 thf(f67,plain,(
% 33.88/6.08 (($true = (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ sK9)) & ((((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11) != (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10)) | ($true != (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK11)) | ($true != (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK10)) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11) != $true)) & ((((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11) = (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10)) & ($true = (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK11)) & ($true = (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK10))) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11) = $true)))) & ($true = (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ sK5 @ sK6))),
% 33.88/6.08 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f63,f66,f65,f64])).
% 33.88/6.08 thf(f64,plain,(
% 33.88/6.08 ? [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : X0 > X0 > $o,X5 : X0 > X2,X6 : X2 > X0] : (? [X7 : X1 > X1 > $o,X8 : X1 > X3,X9 : X3 > X1] : (($true = (c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9)) & ? [X10 : X0 > X1,X11 : X0 > X1] : ((((c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11) != (c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10)) | ($true != (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X11)) | ($true != (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X10)) | ((c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11) != $true)) & ((((c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11) = (c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10)) & ($true = (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X11)) & ($true = (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X10))) | ((c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11) = $true)))) & ((c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6) = $true)) => (? [X9 : sK3 > sK1,X8 : sK1 > sK3,X7 : sK1 > sK1 > $o] : (((c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X7 @ X8 @ X9) = $true) & ? [X11 : sK0 > sK1,X10 : sK0 > sK1] : ((((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ X8 @ X11) != (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ X8 @ X10)) | ((c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7) @ X11) != $true) | ($true != (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7) @ X10)) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7 @ X10 @ X11) != $true)) & ((((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ X8 @ X11) = (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ X8 @ X10)) & ((c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7) @ X11) = $true) & ($true = (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7) @ X10))) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7 @ X10 @ X11) = $true)))) & ($true = (c_2Equotient_2EQUOTIENT @ sK0 @ sK2 @ sK4 @ sK5 @ sK6)))),
% 33.88/6.08 introduced(definition,[],[choice_axiom])).
% 33.88/6.08 thf(f65,plain,(
% 33.88/6.08 ? [X9 : sK3 > sK1,X8 : sK1 > sK3,X7 : sK1 > sK1 > $o] : (((c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ X7 @ X8 @ X9) = $true) & ? [X11 : sK0 > sK1,X10 : sK0 > sK1] : ((((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ X8 @ X11) != (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ X8 @ X10)) | ((c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7) @ X11) != $true) | ($true != (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7) @ X10)) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7 @ X10 @ X11) != $true)) & ((((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ X8 @ X11) = (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ X8 @ X10)) & ((c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7) @ X11) = $true) & ($true = (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7) @ X10))) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ X7 @ X10 @ X11) = $true)))) => (($true = (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ sK9)) & ? [X11 : sK0 > sK1,X10 : sK0 > sK1] : ((((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X10) != (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X11)) | ((c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ X11) != $true) | ((c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ X10) != $true) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ X10 @ X11))) & ((((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X10) = (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X11)) & ((c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ X11) = $true) & ((c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ X10) = $true)) | ($true = (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ X10 @ X11)))))),
% 33.88/6.08 introduced(definition,[],[choice_axiom])).
% 33.88/6.08 thf(f66,plain,(
% 33.88/6.08 ? [X11 : sK0 > sK1,X10 : sK0 > sK1] : ((((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X10) != (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X11)) | ((c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ X11) != $true) | ((c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ X10) != $true) | ($true != (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ X10 @ X11))) & ((((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X10) = (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ X11)) & ((c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ X11) = $true) & ((c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ X10) = $true)) | ($true = (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ X10 @ X11)))) => ((((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11) != (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10)) | ($true != (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK11)) | ($true != (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK10)) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11) != $true)) & ((((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11) = (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10)) & ($true = (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK11)) & ($true = (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK10))) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11) = $true)))),
% 33.88/6.08 introduced(definition,[],[choice_axiom])).
% 33.88/6.08 thf(f63,plain,(
% 33.88/6.08 ? [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : X0 > X0 > $o,X5 : X0 > X2,X6 : X2 > X0] : (? [X7 : X1 > X1 > $o,X8 : X1 > X3,X9 : X3 > X1] : (($true = (c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9)) & ? [X10 : X0 > X1,X11 : X0 > X1] : ((((c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11) != (c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10)) | ($true != (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X11)) | ($true != (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X10)) | ((c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11) != $true)) & ((((c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11) = (c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10)) & ($true = (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X11)) & ($true = (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X10))) | ((c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11) = $true)))) & ((c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6) = $true))),
% 33.88/6.08 inference(flattening,[status(thm)],[f62])).
% 33.88/6.08 thf(f62,plain,(
% 33.88/6.08 ? [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : X0 > X0 > $o,X5 : X0 > X2,X6 : X2 > X0] : (? [X7 : X1 > X1 > $o,X8 : X1 > X3,X9 : X3 > X1] : (($true = (c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9)) & ? [X10 : X0 > X1,X11 : X0 > X1] : (((((c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11) != (c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10)) | ($true != (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X11)) | ($true != (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X10))) | ((c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11) != $true)) & ((((c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11) = (c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10)) & ($true = (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X11)) & ($true = (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X10))) | ((c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11) = $true)))) & ((c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6) = $true))),
% 33.88/6.08 inference(nnf_transformation,[status(thm)],[f55])).
% 33.88/6.08 thf(f55,plain,(
% 33.88/6.08 ? [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : X0 > X0 > $o,X5 : X0 > X2,X6 : X2 > X0] : (? [X7 : X1 > X1 > $o,X8 : X1 > X3,X9 : X3 > X1] : (($true = (c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9)) & ? [X10 : X0 > X1,X11 : X0 > X1] : (((c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11) = $true) <~> (((c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11) = (c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10)) & ($true = (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X11)) & ($true = (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X10))))) & ((c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6) = $true))),
% 33.88/6.08 inference(ennf_transformation,[status(thm)],[f29])).
% 33.88/6.08 thf(f29,plain,(
% 33.88/6.08 ~! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : X0 > X0 > $o,X5 : X0 > X2,X6 : X2 > X0] : (((c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6) = $true) => ! [X7 : X1 > X1 > $o,X8 : X1 > X3,X9 : X3 > X1] : (($true = (c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9)) => ! [X10 : X0 > X1,X11 : X0 > X1] : (((c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11) = $true) <=> (((c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11) = (c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10)) & ($true = (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X11)) & ($true = (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X10))))))),
% 33.88/6.08 inference(fool_elimination,[status(thm)],[f28])).
% 33.88/6.08 thf(f28,plain,(
% 33.88/6.08 ~! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : X0 > X0 > $o,X5 : X0 > X2,X6 : X2 > X0] : ((c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X4 @ X5 @ X6) => ! [X7 : X1 > X1 > $o,X8 : X1 > X3,X9 : X3 > X1] : ((c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X7 @ X8 @ X9) => ! [X10 : X0 > X1,X11 : X0 > X1] : ((((c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X11) = (c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X6 @ X8 @ X10)) & (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X10) & (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7) @ X11)) <=> (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X4 @ X7 @ X10 @ X11))))),
% 33.88/6.08 inference(rectify,[status(thm)],[f18])).
% 33.88/6.08 thf(f18,negated_conjecture,(
% 33.88/6.08 ~! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X17 : X0 > X0 > $o,X18 : X0 > X2,X19 : X2 > X0] : ((c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X17 @ X18 @ X19) => ! [X20 : X1 > X1 > $o,X21 : X1 > X3,X22 : X3 > X1] : ((c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X20 @ X21 @ X22) => ! [X23 : X0 > X1,X24 : X0 > X1] : ((((c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X19 @ X21 @ X23) = (c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X19 @ X21 @ X24)) & (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X17 @ X20) @ X23) & (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X17 @ X20) @ X24)) <=> (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X17 @ X20 @ X23 @ X24))))),
% 33.88/6.08 inference(negated_conjecture,[status(cth)],[f17])).
% 33.88/6.08 thf(f17,conjecture,(
% 33.88/6.08 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X17 : X0 > X0 > $o,X18 : X0 > X2,X19 : X2 > X0] : ((c_2Equotient_2EQUOTIENT @ X0 @ X2 @ X17 @ X18 @ X19) => ! [X20 : X1 > X1 > $o,X21 : X1 > X3,X22 : X3 > X1] : ((c_2Equotient_2EQUOTIENT @ X1 @ X3 @ X20 @ X21 @ X22) => ! [X23 : X0 > X1,X24 : X0 > X1] : ((((c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X19 @ X21 @ X23) = (c_2Equotient_2E_2D_2D_3E @ X2 @ X1 @ X0 @ X3 @ X19 @ X21 @ X24)) & (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X17 @ X20) @ X23) & (c_2Equotient_2Erespects @ (X0 > X1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X17 @ X20) @ X24)) <=> (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1 @ X17 @ X20 @ X23 @ X24))))),
% 33.88/6.08 file('/export/starexec/sandbox2/tmp/tmp.m1C5hAK84D/DTF2THF_8796.p',thm_2Equotient_2EFUN__REL__EQ__REL)).
% 33.88/6.08 thf(f146,plain,(
% 33.88/6.08 spl12_7 | spl12_6),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f112,f140,f143])).
% 33.88/6.08 thf(f112,plain,(
% 33.88/6.08 ( ! [X0 : $o,X1 : $o] : (($false = X0) | ($true = X1) | ($true = X0)) )),
% 33.88/6.08 inference(duplicate_literal_removal,[status(thm)],[f111])).
% 33.88/6.08 thf(f111,plain,(
% 33.88/6.08 ( ! [X0 : $o,X1 : $o] : (($true = X1) | ($true = X1) | ($false = X0) | ($true = X0)) )),
% 33.88/6.08 inference(binary_proxy_clausification,[status(thm)],[f73])).
% 33.88/6.08 thf(f73,plain,(
% 33.88/6.08 ( ! [X0 : $o,X1 : $o] : ((X0 = X1) | ($true = X1) | ($true = X0)) )),
% 33.88/6.08 inference(cnf_transformation,[status(thm)],[f53])).
% 33.88/6.08 thf(f53,plain,(
% 33.88/6.08 ! [X0 : $o,X1 : $o] : ((X0 = X1) | (($true = X0) & ($true != X1)) | (($true = X1) & ($true != X0)))),
% 33.88/6.08 inference(flattening,[status(thm)],[f52])).
% 33.88/6.08 thf(f52,plain,(
% 33.88/6.08 ! [X0 : $o,X1 : $o] : (((X0 = X1) | (($true = X1) & ($true != X0))) | (($true = X0) & ($true != X1)))),
% 33.88/6.08 inference(ennf_transformation,[status(thm)],[f35])).
% 33.88/6.08 thf(f35,plain,(
% 33.88/6.08 ! [X0 : $o,X1 : $o] : ((($true = X0) => ($true = X1)) => ((($true = X1) => ($true = X0)) => (X0 = X1)))),
% 33.88/6.08 inference(fool_elimination,[status(thm)],[f34])).
% 33.88/6.08 thf(f34,plain,(
% 33.88/6.08 ! [X0 : $o,X1 : $o] : ((X0 => X1) => ((X1 => X0) => (X0 = X1)))),
% 33.88/6.08 inference(rectify,[status(thm)],[f9])).
% 33.88/6.08 thf(f9,axiom,(
% 33.88/6.08 ! [X8 : $o,X9 : $o] : ((X8 => X9) => ((X9 => X8) => (X8 = X9)))),
% 33.88/6.08 file('/export/starexec/sandbox2/tmp/tmp.m1C5hAK84D/DTF2THF_8796.p',thm_2Ebool_2EIMP__ANTISYM__AX)).
% 33.88/6.08 thf(f138,plain,(
% 33.88/6.08 spl12_5),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f90,f135])).
% 33.88/6.08 thf(f90,plain,(
% 33.88/6.08 ($true = (c_2Equotient_2EQUOTIENT @ sK1 @ sK3 @ sK7 @ sK8 @ sK9))),
% 33.88/6.08 inference(cnf_transformation,[status(thm)],[f67])).
% 33.88/6.08 thf(f133,plain,(
% 33.88/6.08 spl12_4 | spl12_2),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f86,f119,f129])).
% 33.88/6.08 thf(f86,plain,(
% 33.88/6.08 ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11) = $true) | ($true = (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK10))),
% 33.88/6.08 inference(cnf_transformation,[status(thm)],[f67])).
% 33.88/6.08 thf(f132,plain,(
% 33.88/6.08 ~spl12_1 | ~spl12_3 | ~spl12_2 | ~spl12_4),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f89,f129,f119,f124,f115])).
% 33.88/6.08 thf(f89,plain,(
% 33.88/6.08 ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11) != $true) | ($true != (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK10)) | ((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11) != (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10)) | ($true != (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK11))),
% 33.88/6.08 inference(cnf_transformation,[status(thm)],[f67])).
% 33.88/6.08 thf(f127,plain,(
% 33.88/6.08 spl12_3 | spl12_2),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f87,f119,f124])).
% 33.88/6.08 thf(f87,plain,(
% 33.88/6.08 ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11) = $true) | ($true = (c_2Equotient_2Erespects @ (sK0 > sK1) @ $o @ (c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7) @ sK11))),
% 33.88/6.08 inference(cnf_transformation,[status(thm)],[f67])).
% 33.88/6.08 thf(f122,plain,(
% 33.88/6.08 spl12_1 | spl12_2),
% 33.88/6.08 inference(avatar_split_clause,[status(thm)],[f88,f119,f115])).
% 33.88/6.08 thf(f88,plain,(
% 33.88/6.08 ((c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK11) = (c_2Equotient_2E_2D_2D_3E @ sK2 @ sK1 @ sK0 @ sK3 @ sK6 @ sK8 @ sK10)) | ((c_2Equotient_2E_3D_3D_3D_3E @ sK0 @ sK1 @ sK4 @ sK7 @ sK10 @ sK11) = $true)),
% 33.88/6.08 inference(cnf_transformation,[status(thm)],[f67])).
% 33.88/6.08 % SZS output end Proof for DTF2THF_8796
% 33.88/6.08 % (9176)------------------------------
% 33.88/6.08 % (9176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.88/6.08 % (9176)Termination reason: Refutation
% 33.88/6.08
% 33.88/6.08 % (9176)Memory used [KB]: 6908
% 33.88/6.08 % (9176)Time elapsed: 0.296 s
% 33.88/6.08 % (9176)Instructions burned: 947 (million)
% 33.88/6.08 % (9176)------------------------------
% 33.88/6.08 % (9176)------------------------------
% 33.88/6.08 % (8910)Success in time 4.628 s
%------------------------------------------------------------------------------