TSTP Solution File: ITP021^3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP021^3 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:32:03 EDT 2024
% Result : Theorem 1.27s 0.54s
% Output : Refutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 32
% Syntax : Number of formulae : 169 ( 61 unt; 17 typ; 0 def)
% Number of atoms : 762 ( 203 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 1121 ( 144 ~; 151 |; 56 &; 686 @)
% ( 17 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 22 ( 21 >; 1 *; 0 +; 0 <<)
% Number of symbols : 28 ( 24 usr; 16 con; 0-4 aty)
% ( 57 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 185 ( 69 ^ 112 !; 0 ?; 185 :)
% ( 4 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_6,type,
tyop_2Eextreal_2Eextreal: $tType ).
thf(func_def_0,type,
tyop_2Eextreal_2Eextreal: $tType ).
thf(func_def_1,type,
tyop_2Emin_2Ebool: $tType ).
thf(func_def_2,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
c_2Ebool_2E_21:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
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_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_7,type,
c_2Ebool_2E_3F:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_8,type,
c_2Ebool_2ECOND:
!>[X0: $tType] : ( $o > X0 > X0 > X0 ) ).
thf(func_def_11,type,
c_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_12,type,
c_2Eextreal_2Eextreal__le: tyop_2Eextreal_2Eextreal > tyop_2Eextreal_2Eextreal > $o ).
thf(func_def_13,type,
c_2Eextreal_2Eextreal__max: tyop_2Eextreal_2Eextreal > tyop_2Eextreal_2Eextreal > tyop_2Eextreal_2Eextreal ).
thf(func_def_14,type,
c_2Ebool_2E_7E: $o > $o ).
thf(func_def_31,type,
sK1: tyop_2Eextreal_2Eextreal ).
thf(func_def_32,type,
sK2: tyop_2Eextreal_2Eextreal ).
thf(func_def_33,type,
sK3: tyop_2Eextreal_2Eextreal ).
thf(f2050,plain,
$false,
inference(avatar_sat_refutation,[],[f183,f188,f202,f1171,f1432,f1540,f1701,f1714,f1837,f1840,f1915,f1923,f1925,f2040]) ).
thf(f2040,plain,
( ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f2039]) ).
thf(f2039,plain,
( $false
| ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f2038]) ).
thf(f2038,plain,
( ( $false = $true )
| ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2037,f201]) ).
thf(f201,plain,
( ( $false
= ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f199]) ).
thf(f199,plain,
( spl0_6
<=> ( $false
= ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f2037,plain,
( ( ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 )
= $true )
| ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f2031,f196]) ).
thf(f196,plain,
( ( $false
!= ( c_2Eextreal_2Eextreal__le @ sK1 @ sK3 ) )
| spl0_5 ),
inference(avatar_component_clause,[],[f195]) ).
thf(f195,plain,
( spl0_5
<=> ( $false
= ( c_2Eextreal_2Eextreal__le @ sK1 @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f2031,plain,
( ( $false
= ( c_2Eextreal_2Eextreal__le @ sK1 @ sK3 ) )
| ( ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 )
= $true )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f182,f1936]) ).
thf(f1936,plain,
( ! [X0: tyop_2Eextreal_2Eextreal] :
( ( sK2
= ( c_2Eextreal_2Eextreal__max @ sK2 @ X0 ) )
| ( $false
= ( c_2Eextreal_2Eextreal__le @ X0 @ sK3 ) ) )
| ~ spl0_6
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f1929]) ).
thf(f1929,plain,
( ! [X0: tyop_2Eextreal_2Eextreal] :
( ( $false = $true )
| ( $false
= ( c_2Eextreal_2Eextreal__le @ X0 @ sK3 ) )
| ( sK2
= ( c_2Eextreal_2Eextreal__max @ sK2 @ X0 ) ) )
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f201,f1495]) ).
thf(f1495,plain,
( ! [X2: tyop_2Eextreal_2Eextreal,X0: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( $true
= ( c_2Eextreal_2Eextreal__le @ X0 @ X2 ) )
| ( ( c_2Eextreal_2Eextreal__max @ X0 @ X1 )
= X0 )
| ( $false
= ( c_2Eextreal_2Eextreal__le @ X1 @ X2 ) ) )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1484,f1428]) ).
thf(f1428,plain,
( ! [X0: $tType,X2: X0,X1: X0] :
( ( c_2Ebool_2ECOND @ X0 @ $false @ X2 @ X1 )
= X1 )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f539,f215]) ).
thf(f215,plain,
( ( c_2Ebool_2EF = $false )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f213]) ).
thf(f213,plain,
( spl0_8
<=> ( c_2Ebool_2EF = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
thf(f539,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ( c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ X2 @ X1 )
= X1 ),
inference(equality_proxy_clausification,[],[f536]) ).
thf(f536,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ( ( c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ X2 @ X1 )
= X1 )
= $true ),
inference(binary_proxy_clausification,[],[f535]) ).
thf(f535,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ( ( ( c_2Ebool_2ECOND @ X0 @ $true @ X2 @ X1 )
= X2 )
& ( ( c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ X2 @ X1 )
= X1 ) )
= $true ),
inference(beta_eta_normalization,[],[f534]) ).
thf(f534,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ( ^ [Y0: X0] :
( ( ( c_2Ebool_2ECOND @ X0 @ $true @ Y0 @ X1 )
= Y0 )
& ( ( c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ Y0 @ X1 )
= X1 ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f533]) ).
thf(f533,plain,
! [X0: $tType,X1: X0] :
( ( !! @ X0
@ ^ [Y0: X0] :
( ( ( c_2Ebool_2ECOND @ X0 @ $true @ Y0 @ X1 )
= Y0 )
& ( ( c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ Y0 @ X1 )
= X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f532]) ).
thf(f532,plain,
! [X0: $tType,X1: X0] :
( ( ^ [Y0: X0] :
( !! @ X0
@ ^ [Y1: X0] :
( ( ( c_2Ebool_2ECOND @ X0 @ $true @ Y1 @ Y0 )
= Y1 )
& ( ( c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ Y1 @ Y0 )
= Y0 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f138]) ).
thf(f138,plain,
! [X0: $tType] :
( ( !! @ X0
@ ^ [Y0: X0] :
( !! @ X0
@ ^ [Y1: X0] :
( ( ( c_2Ebool_2ECOND @ X0 @ $true @ Y1 @ Y0 )
= Y1 )
& ( ( c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ Y1 @ Y0 )
= Y0 ) ) ) )
= $true ),
inference(definition_unfolding,[],[f110,f133]) ).
thf(f133,plain,
c_2Ebool_2ET = $true,
inference(cnf_transformation,[],[f101]) ).
thf(f101,plain,
c_2Ebool_2ET = $true,
inference(fool_elimination,[],[f100]) ).
thf(f100,plain,
c_2Ebool_2ET,
inference(rectify,[],[f8]) ).
thf(f8,axiom,
c_2Ebool_2ET,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
thf(f110,plain,
! [X0: $tType] :
( ( !! @ X0
@ ^ [Y0: X0] :
( !! @ X0
@ ^ [Y1: X0] :
( ( ( c_2Ebool_2ECOND @ X0 @ c_2Ebool_2ET @ Y1 @ Y0 )
= Y1 )
& ( ( c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ Y1 @ Y0 )
= Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f108]) ).
thf(f108,plain,
! [X0: $tType] :
( ( !! @ X0
@ ^ [Y0: X0] :
( !! @ X0
@ ^ [Y1: X0] :
( ( ( c_2Ebool_2ECOND @ X0 @ c_2Ebool_2ET @ Y1 @ Y0 )
= Y1 )
& ( ( c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ Y1 @ Y0 )
= Y0 ) ) ) )
= $true ),
inference(closure,[],[f79]) ).
thf(f79,plain,
! [X0: $tType] :
( ( !! @ X0
@ ^ [Y0: X0] :
( !! @ X0
@ ^ [Y1: X0] :
( ( ( c_2Ebool_2ECOND @ X0 @ c_2Ebool_2ET @ Y1 @ Y0 )
= Y1 )
& ( ( c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ Y1 @ Y0 )
= Y0 ) ) ) )
= $true ),
inference(fool_elimination,[],[f78]) ).
thf(f78,plain,
! [X0: $tType,X1: X0,X2: X0] :
( ( ( c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ X1 @ X2 )
= X2 )
& ( ( c_2Ebool_2ECOND @ X0 @ c_2Ebool_2ET @ X1 @ X2 )
= X1 ) ),
inference(rectify,[],[f18]) ).
thf(f18,axiom,
! [X0: $tType,X5: X0,X6: X0] :
( ( ( c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ X5 @ X6 )
= X6 )
& ( ( c_2Ebool_2ECOND @ X0 @ c_2Ebool_2ET @ X5 @ X6 )
= X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ECOND__CLAUSES) ).
thf(f1484,plain,
! [X2: tyop_2Eextreal_2Eextreal,X0: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( $false
= ( c_2Eextreal_2Eextreal__le @ X1 @ X2 ) )
| ( ( c_2Eextreal_2Eextreal__max @ X0 @ X1 )
= ( c_2Ebool_2ECOND @ tyop_2Eextreal_2Eextreal @ $false @ X1 @ X0 ) )
| ( $true
= ( c_2Eextreal_2Eextreal__le @ X0 @ X2 ) ) ),
inference(superposition,[],[f240,f587]) ).
thf(f587,plain,
! [X2: tyop_2Eextreal_2Eextreal,X3: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( $false
= ( c_2Eextreal_2Eextreal__le @ X3 @ X2 ) )
| ( $false
= ( c_2Eextreal_2Eextreal__le @ X2 @ X1 ) )
| ( ( c_2Eextreal_2Eextreal__le @ X3 @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[],[f586]) ).
thf(f586,plain,
! [X2: tyop_2Eextreal_2Eextreal,X3: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ X3 @ X1 )
= $true )
| ( $false
= ( ( c_2Eextreal_2Eextreal__le @ X3 @ X2 )
& ( c_2Eextreal_2Eextreal__le @ X2 @ X1 ) ) ) ),
inference(binary_proxy_clausification,[],[f585]) ).
thf(f585,plain,
! [X2: tyop_2Eextreal_2Eextreal,X3: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( ( ( c_2Eextreal_2Eextreal__le @ X3 @ X2 )
& ( c_2Eextreal_2Eextreal__le @ X2 @ X1 ) )
=> ( c_2Eextreal_2Eextreal__le @ X3 @ X1 ) )
= $true ),
inference(beta_eta_normalization,[],[f584]) ).
thf(f584,plain,
! [X2: tyop_2Eextreal_2Eextreal,X3: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( ^ [Y0: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ Y0 @ X2 )
& ( c_2Eextreal_2Eextreal__le @ X2 @ X1 ) )
=> ( c_2Eextreal_2Eextreal__le @ Y0 @ X1 ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f583]) ).
thf(f583,plain,
! [X2: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y0: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ Y0 @ X2 )
& ( c_2Eextreal_2Eextreal__le @ X2 @ X1 ) )
=> ( c_2Eextreal_2Eextreal__le @ Y0 @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f582]) ).
thf(f582,plain,
! [X2: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( $true
= ( ^ [Y0: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y1: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ Y1 @ Y0 )
& ( c_2Eextreal_2Eextreal__le @ Y0 @ X1 ) )
=> ( c_2Eextreal_2Eextreal__le @ Y1 @ X1 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f581]) ).
thf(f581,plain,
! [X1: tyop_2Eextreal_2Eextreal] :
( $true
= ( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y0: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y1: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ Y1 @ Y0 )
& ( c_2Eextreal_2Eextreal__le @ Y0 @ X1 ) )
=> ( c_2Eextreal_2Eextreal__le @ Y1 @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[],[f580]) ).
thf(f580,plain,
! [X1: tyop_2Eextreal_2Eextreal] :
( ( ^ [Y0: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y1: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y2: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ Y2 @ Y1 )
& ( c_2Eextreal_2Eextreal__le @ Y1 @ Y0 ) )
=> ( c_2Eextreal_2Eextreal__le @ Y2 @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f119]) ).
thf(f119,plain,
( ( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y0: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y1: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y2: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ Y2 @ Y1 )
& ( c_2Eextreal_2Eextreal__le @ Y1 @ Y0 ) )
=> ( c_2Eextreal_2Eextreal__le @ Y2 @ Y0 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f87]) ).
thf(f87,plain,
( ( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y0: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y1: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y2: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ Y2 @ Y1 )
& ( c_2Eextreal_2Eextreal__le @ Y1 @ Y0 ) )
=> ( c_2Eextreal_2Eextreal__le @ Y2 @ Y0 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f86]) ).
thf(f86,plain,
! [X0: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal,X2: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ X1 @ X2 )
& ( c_2Eextreal_2Eextreal__le @ X0 @ X1 ) )
=> ( c_2Eextreal_2Eextreal__le @ X0 @ X2 ) ),
inference(rectify,[],[f22]) ).
thf(f22,axiom,
! [X8: tyop_2Eextreal_2Eextreal,X9: tyop_2Eextreal_2Eextreal,X13: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ X9 @ X13 )
& ( c_2Eextreal_2Eextreal__le @ X8 @ X9 ) )
=> ( c_2Eextreal_2Eextreal__le @ X8 @ X13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Ele__trans) ).
thf(f240,plain,
! [X2: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ECOND @ tyop_2Eextreal_2Eextreal @ ( c_2Eextreal_2Eextreal__le @ X2 @ X1 ) @ X1 @ X2 )
= ( c_2Eextreal_2Eextreal__max @ X2 @ X1 ) ),
inference(equality_proxy_clausification,[],[f239]) ).
thf(f239,plain,
! [X2: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( $true
= ( ( c_2Eextreal_2Eextreal__max @ X2 @ X1 )
= ( c_2Ebool_2ECOND @ tyop_2Eextreal_2Eextreal @ ( c_2Eextreal_2Eextreal__le @ X2 @ X1 ) @ X1 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f238]) ).
thf(f238,plain,
! [X2: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( ^ [Y0: tyop_2Eextreal_2Eextreal] :
( ( c_2Eextreal_2Eextreal__max @ Y0 @ X1 )
= ( c_2Ebool_2ECOND @ tyop_2Eextreal_2Eextreal @ ( c_2Eextreal_2Eextreal__le @ Y0 @ X1 ) @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f237]) ).
thf(f237,plain,
! [X1: tyop_2Eextreal_2Eextreal] :
( ( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y0: tyop_2Eextreal_2Eextreal] :
( ( c_2Eextreal_2Eextreal__max @ Y0 @ X1 )
= ( c_2Ebool_2ECOND @ tyop_2Eextreal_2Eextreal @ ( c_2Eextreal_2Eextreal__le @ Y0 @ X1 ) @ X1 @ Y0 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f236]) ).
thf(f236,plain,
! [X1: tyop_2Eextreal_2Eextreal] :
( $true
= ( ^ [Y0: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y1: tyop_2Eextreal_2Eextreal] :
( ( c_2Eextreal_2Eextreal__max @ Y1 @ Y0 )
= ( c_2Ebool_2ECOND @ tyop_2Eextreal_2Eextreal @ ( c_2Eextreal_2Eextreal__le @ Y1 @ Y0 ) @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f112]) ).
thf(f112,plain,
( ( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y0: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y1: tyop_2Eextreal_2Eextreal] :
( ( c_2Eextreal_2Eextreal__max @ Y1 @ Y0 )
= ( c_2Ebool_2ECOND @ tyop_2Eextreal_2Eextreal @ ( c_2Eextreal_2Eextreal__le @ Y1 @ Y0 ) @ Y0 @ Y1 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f97]) ).
thf(f97,plain,
( ( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y0: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y1: tyop_2Eextreal_2Eextreal] :
( ( c_2Eextreal_2Eextreal__max @ Y1 @ Y0 )
= ( c_2Ebool_2ECOND @ tyop_2Eextreal_2Eextreal @ ( c_2Eextreal_2Eextreal__le @ Y1 @ Y0 ) @ Y0 @ Y1 ) ) ) )
= $true ),
inference(fool_elimination,[],[f96]) ).
thf(f96,plain,
! [X0: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( c_2Eextreal_2Eextreal__max @ X0 @ X1 )
= ( c_2Ebool_2ECOND @ tyop_2Eextreal_2Eextreal @ ( c_2Eextreal_2Eextreal__le @ X0 @ X1 ) @ X1 @ X0 ) ),
inference(rectify,[],[f24]) ).
thf(f24,axiom,
! [X8: tyop_2Eextreal_2Eextreal,X9: tyop_2Eextreal_2Eextreal] :
( ( c_2Eextreal_2Eextreal__max @ X8 @ X9 )
= ( c_2Ebool_2ECOND @ tyop_2Eextreal_2Eextreal @ ( c_2Eextreal_2Eextreal__le @ X8 @ X9 ) @ X9 @ X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Eextreal__max__def) ).
thf(f182,plain,
( ( ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) @ sK3 )
= $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
thf(f180,plain,
( spl0_2
<=> ( ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) @ sK3 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f1925,plain,
( spl0_3
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1924,f1824,f180,f185]) ).
thf(f185,plain,
( spl0_3
<=> ( ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f1824,plain,
( spl0_12
<=> ( sK2
= ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
thf(f1924,plain,
( ( ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 )
= $true )
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f182,f1826]) ).
thf(f1826,plain,
( ( sK2
= ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f1824]) ).
thf(f1923,plain,
( ~ spl0_4
| spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1922]) ).
thf(f1922,plain,
( $false
| ~ spl0_4
| spl0_6
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f1917,f200]) ).
thf(f200,plain,
( ( $false
!= ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 ) )
| spl0_6 ),
inference(avatar_component_clause,[],[f199]) ).
thf(f1917,plain,
( ( $false
= ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 ) )
| ~ spl0_4
| ~ spl0_12 ),
inference(backward_demodulation,[],[f193,f1826]) ).
thf(f193,plain,
( ( $false
= ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) @ sK3 ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f191]) ).
thf(f191,plain,
( spl0_4
<=> ( $false
= ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f1915,plain,
( spl0_12
| ~ spl0_4
| spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1914,f213,f195,f191,f1824]) ).
thf(f1914,plain,
( ( sK2
= ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) )
| ~ spl0_4
| spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1897,f196]) ).
thf(f1897,plain,
( ( sK2
= ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) )
| ( $false
= ( c_2Eextreal_2Eextreal__le @ sK1 @ sK3 ) )
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f193,f1518]) ).
thf(f1518,plain,
( ! [X0: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__max @ X0 @ X1 )
= X1 )
| ( ( c_2Eextreal_2Eextreal__max @ X0 @ X1 )
= X0 ) )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1503,f1428]) ).
thf(f1503,plain,
! [X0: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__max @ X0 @ X1 )
= ( c_2Ebool_2ECOND @ tyop_2Eextreal_2Eextreal @ $false @ X1 @ X0 ) )
| ( ( c_2Eextreal_2Eextreal__max @ X0 @ X1 )
= X1 ) ),
inference(superposition,[],[f240,f1491]) ).
thf(f1491,plain,
! [X2: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( $false
= ( c_2Eextreal_2Eextreal__le @ X2 @ X1 ) )
| ( ( c_2Eextreal_2Eextreal__max @ X2 @ X1 )
= X1 ) ),
inference(forward_demodulation,[],[f1481,f538]) ).
thf(f538,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ( c_2Ebool_2ECOND @ X0 @ $true @ X2 @ X1 )
= X2 ),
inference(equality_proxy_clausification,[],[f537]) ).
thf(f537,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ( ( c_2Ebool_2ECOND @ X0 @ $true @ X2 @ X1 )
= X2 )
= $true ),
inference(binary_proxy_clausification,[],[f535]) ).
thf(f1481,plain,
! [X2: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__max @ X2 @ X1 )
= ( c_2Ebool_2ECOND @ tyop_2Eextreal_2Eextreal @ $true @ X1 @ X2 ) )
| ( $false
= ( c_2Eextreal_2Eextreal__le @ X2 @ X1 ) ) ),
inference(fool_paramodulation,[],[f240]) ).
thf(f1840,plain,
( ~ spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1839]) ).
thf(f1839,plain,
( $false
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1838]) ).
thf(f1838,plain,
( ( $false = $true )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f187,f201]) ).
thf(f187,plain,
( ( ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 )
= $true )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f185]) ).
thf(f1837,plain,
( spl0_12
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1836,f213,f195,f180,f1824]) ).
thf(f1836,plain,
( ( sK2
= ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f1835]) ).
thf(f1835,plain,
( ( $false = $true )
| ( sK2
= ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1819,f197]) ).
thf(f197,plain,
( ( $false
= ( c_2Eextreal_2Eextreal__le @ sK1 @ sK3 ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f195]) ).
thf(f1819,plain,
( ( ( c_2Eextreal_2Eextreal__le @ sK1 @ sK3 )
= $true )
| ( sK2
= ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) )
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f182,f1518]) ).
thf(f1714,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f1712,f185,f199]) ).
thf(f1712,plain,
( ( $false
= ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 ) )
| spl0_3 ),
inference(trivial_inequality_removal,[],[f1704]) ).
thf(f1704,plain,
( ( $false
= ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 ) )
| ( $true != $true )
| spl0_3 ),
inference(fool_paramodulation,[],[f186]) ).
thf(f186,plain,
( ( ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 )
!= $true )
| spl0_3 ),
inference(avatar_component_clause,[],[f185]) ).
thf(f1701,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f1700]) ).
thf(f1700,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f1699]) ).
thf(f1699,plain,
( ( $false = $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1695,f197]) ).
thf(f1695,plain,
( ( ( c_2Eextreal_2Eextreal__le @ sK1 @ sK3 )
= $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(backward_demodulation,[],[f182,f1690]) ).
thf(f1690,plain,
( ( sK1
= ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f1685]) ).
thf(f1685,plain,
( ( sK1
= ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) )
| ( $false = $true )
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f1491,f1651]) ).
thf(f1651,plain,
( ( ( c_2Eextreal_2Eextreal__le @ sK2 @ sK1 )
= $true )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f1637]) ).
thf(f1637,plain,
( ( $false = $true )
| ( ( c_2Eextreal_2Eextreal__le @ sK2 @ sK1 )
= $true )
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f1548,f1443]) ).
thf(f1443,plain,
( ( $true
= ( c_2Eextreal_2Eextreal__le @ sK3 @ sK1 ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f1439]) ).
thf(f1439,plain,
( ( $true
= ( c_2Eextreal_2Eextreal__le @ sK3 @ sK1 ) )
| ( $false = $true )
| ~ spl0_5 ),
inference(superposition,[],[f531,f197]) ).
thf(f531,plain,
! [X2: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ X2 @ X1 )
= $true )
| ( ( c_2Eextreal_2Eextreal__le @ X1 @ X2 )
= $true ) ),
inference(binary_proxy_clausification,[],[f530]) ).
thf(f530,plain,
! [X2: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ X2 @ X1 )
| ( c_2Eextreal_2Eextreal__le @ X1 @ X2 ) )
= $true ),
inference(beta_eta_normalization,[],[f529]) ).
thf(f529,plain,
! [X2: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( ^ [Y0: tyop_2Eextreal_2Eextreal] :
( ( c_2Eextreal_2Eextreal__le @ Y0 @ X1 )
| ( c_2Eextreal_2Eextreal__le @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f528]) ).
thf(f528,plain,
! [X1: tyop_2Eextreal_2Eextreal] :
( ( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y0: tyop_2Eextreal_2Eextreal] :
( ( c_2Eextreal_2Eextreal__le @ Y0 @ X1 )
| ( c_2Eextreal_2Eextreal__le @ X1 @ Y0 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f527]) ).
thf(f527,plain,
! [X1: tyop_2Eextreal_2Eextreal] :
( ( ^ [Y0: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y1: tyop_2Eextreal_2Eextreal] :
( ( c_2Eextreal_2Eextreal__le @ Y1 @ Y0 )
| ( c_2Eextreal_2Eextreal__le @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f123]) ).
thf(f123,plain,
( $true
= ( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y0: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y1: tyop_2Eextreal_2Eextreal] :
( ( c_2Eextreal_2Eextreal__le @ Y1 @ Y0 )
| ( c_2Eextreal_2Eextreal__le @ Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f67]) ).
thf(f67,plain,
( $true
= ( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y0: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y1: tyop_2Eextreal_2Eextreal] :
( ( c_2Eextreal_2Eextreal__le @ Y1 @ Y0 )
| ( c_2Eextreal_2Eextreal__le @ Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f66]) ).
thf(f66,plain,
! [X0: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal] :
( ( c_2Eextreal_2Eextreal__le @ X1 @ X0 )
| ( c_2Eextreal_2Eextreal__le @ X0 @ X1 ) ),
inference(rectify,[],[f23]) ).
thf(f23,axiom,
! [X8: tyop_2Eextreal_2Eextreal,X9: tyop_2Eextreal_2Eextreal] :
( ( c_2Eextreal_2Eextreal__le @ X9 @ X8 )
| ( c_2Eextreal_2Eextreal__le @ X8 @ X9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Ele__total) ).
thf(f1548,plain,
( ! [X0: tyop_2Eextreal_2Eextreal] :
( ( $false
= ( c_2Eextreal_2Eextreal__le @ sK3 @ X0 ) )
| ( ( c_2Eextreal_2Eextreal__le @ sK2 @ X0 )
= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f1547]) ).
thf(f1547,plain,
( ! [X0: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ sK2 @ X0 )
= $true )
| ( $false = $true )
| ( $false
= ( c_2Eextreal_2Eextreal__le @ sK3 @ X0 ) ) )
| ~ spl0_3 ),
inference(superposition,[],[f587,f187]) ).
thf(f1540,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f1539]) ).
thf(f1539,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f1538]) ).
thf(f1538,plain,
( ( $false = $true )
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f178,f197]) ).
thf(f178,plain,
( ( ( c_2Eextreal_2Eextreal__le @ sK1 @ sK3 )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
thf(f176,plain,
( spl0_1
<=> ( ( c_2Eextreal_2Eextreal__le @ sK1 @ sK3 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f1432,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f1431]) ).
thf(f1431,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f1430]) ).
thf(f1430,plain,
( ( $false = $true )
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f182,f193]) ).
thf(f1171,plain,
spl0_8,
inference(avatar_split_clause,[],[f1170,f213]) ).
thf(f1170,plain,
c_2Ebool_2EF = $false,
inference(not_proxy_clausification,[],[f1162]) ).
thf(f1162,plain,
( ~ c_2Ebool_2EF = $true ),
inference(binary_proxy_clausification,[],[f150]) ).
thf(f150,plain,
( $true
= ( ( !! @ $o
@ ^ [Y0: $o] : $true )
& ~ c_2Ebool_2EF
& ~ c_2Ebool_2EF ) ),
inference(boolean_simplification,[],[f149]) ).
thf(f149,plain,
( $true
= ( ( !! @ $o
@ ^ [Y0: $o] : ( Y0 = Y0 ) )
& ~ c_2Ebool_2EF
& ~ c_2Ebool_2EF ) ),
inference(boolean_simplification,[],[f148]) ).
thf(f148,plain,
( ( ( !! @ $o
@ ^ [Y0: $o] :
( ( ~ ~ Y0 )
= Y0 ) )
& ~ c_2Ebool_2EF
& ~ c_2Ebool_2EF )
= $true ),
inference(boolean_simplification,[],[f147]) ).
thf(f147,plain,
( ( ( !! @ $o
@ ^ [Y0: $o] :
( ( ~ ~ Y0 )
= Y0 ) )
& ( ~ c_2Ebool_2EF = $true )
& ~ c_2Ebool_2EF )
= $true ),
inference(boolean_simplification,[],[f146]) ).
thf(f146,plain,
( ( ( !! @ $o
@ ^ [Y0: $o] :
( ( ~ ~ Y0 )
= Y0 ) )
& ( ~ c_2Ebool_2EF = $true )
& ( c_2Ebool_2EF = $false ) )
= $true ),
inference(boolean_simplification,[],[f141]) ).
thf(f141,plain,
( ( ( !! @ $o
@ ^ [Y0: $o] :
( ( ~ ~ Y0 )
= Y0 ) )
& ( ~ c_2Ebool_2EF = $true )
& ( c_2Ebool_2EF = ~ $true ) )
= $true ),
inference(definition_unfolding,[],[f135,f133,f133]) ).
thf(f135,plain,
( ( ( !! @ $o
@ ^ [Y0: $o] :
( ( ~ ~ Y0 )
= Y0 ) )
& ( ~ c_2Ebool_2EF = c_2Ebool_2ET )
& ( c_2Ebool_2EF = ~ c_2Ebool_2ET ) )
= $true ),
inference(cnf_transformation,[],[f85]) ).
thf(f85,plain,
( ( ( !! @ $o
@ ^ [Y0: $o] :
( ( ~ ~ Y0 )
= Y0 ) )
& ( ~ c_2Ebool_2EF = c_2Ebool_2ET )
& ( c_2Ebool_2EF = ~ c_2Ebool_2ET ) )
= $true ),
inference(fool_elimination,[],[f84]) ).
thf(f84,plain,
( ( c_2Ebool_2EF
<=> ~ c_2Ebool_2ET )
& ( ~ c_2Ebool_2EF
<=> c_2Ebool_2ET )
& ! [X0: $o] :
( ~ ~ X0
<=> X0 ) ),
inference(rectify,[],[f15]) ).
thf(f15,axiom,
( ( c_2Ebool_2EF
<=> ~ c_2Ebool_2ET )
& ( ~ c_2Ebool_2EF
<=> c_2Ebool_2ET )
& ! [X7: $o] :
( ~ ~ X7
<=> X7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ENOT__CLAUSES) ).
thf(f202,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f189,f199,f195,f191]) ).
thf(f189,plain,
( ( $false
= ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) @ sK3 ) )
| ( $false
= ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 ) )
| ( $false
= ( c_2Eextreal_2Eextreal__le @ sK1 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f172]) ).
thf(f172,plain,
( ( $false
= ( ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 )
& ( c_2Eextreal_2Eextreal__le @ sK1 @ sK3 ) ) )
| ( $false
= ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f170]) ).
thf(f170,plain,
( ( ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 )
& ( c_2Eextreal_2Eextreal__le @ sK1 @ sK3 ) )
!= ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) @ sK3 ) ),
inference(binary_proxy_clausification,[],[f169]) ).
thf(f169,plain,
( $false
= ( ( ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 )
& ( c_2Eextreal_2Eextreal__le @ sK1 @ sK3 ) )
= ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) @ sK3 ) ) ),
inference(beta_eta_normalization,[],[f168]) ).
thf(f168,plain,
( $false
= ( ^ [Y0: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ sK2 @ Y0 )
& ( c_2Eextreal_2Eextreal__le @ sK1 @ Y0 ) )
= ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) @ Y0 ) )
@ sK3 ) ),
inference(sigma_clausification,[],[f167]) ).
thf(f167,plain,
( $false
= ( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y0: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ sK2 @ Y0 )
& ( c_2Eextreal_2Eextreal__le @ sK1 @ Y0 ) )
= ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) @ Y0 ) ) ) ),
inference(beta_eta_normalization,[],[f166]) ).
thf(f166,plain,
( $false
= ( ^ [Y0: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y1: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ Y0 @ Y1 )
& ( c_2Eextreal_2Eextreal__le @ sK1 @ Y1 ) )
= ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ Y0 @ sK1 ) @ Y1 ) ) )
@ sK2 ) ),
inference(sigma_clausification,[],[f165]) ).
thf(f165,plain,
( $false
= ( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y0: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y1: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ Y0 @ Y1 )
& ( c_2Eextreal_2Eextreal__le @ sK1 @ Y1 ) )
= ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ Y0 @ sK1 ) @ Y1 ) ) ) ) ),
inference(beta_eta_normalization,[],[f164]) ).
thf(f164,plain,
( $false
= ( ^ [Y0: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y1: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y2: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ Y1 @ Y2 )
& ( c_2Eextreal_2Eextreal__le @ Y0 @ Y2 ) )
= ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ Y1 @ Y0 ) @ Y2 ) ) ) )
@ sK1 ) ),
inference(sigma_clausification,[],[f163]) ).
thf(f163,plain,
( $false
= ( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y0: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y1: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y2: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ Y1 @ Y2 )
& ( c_2Eextreal_2Eextreal__le @ Y0 @ Y2 ) )
= ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ Y1 @ Y0 ) @ Y2 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f111]) ).
thf(f111,plain,
( ( ~ ( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y0: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y1: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y2: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ Y1 @ Y2 )
& ( c_2Eextreal_2Eextreal__le @ Y0 @ Y2 ) )
= ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ Y1 @ Y0 ) @ Y2 ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f51]) ).
thf(f51,plain,
( ( ~ ( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y0: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y1: tyop_2Eextreal_2Eextreal] :
( !! @ tyop_2Eextreal_2Eextreal
@ ^ [Y2: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ Y1 @ Y2 )
& ( c_2Eextreal_2Eextreal__le @ Y0 @ Y2 ) )
= ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ Y1 @ Y0 ) @ Y2 ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f50]) ).
thf(f50,plain,
~ ! [X0: tyop_2Eextreal_2Eextreal,X1: tyop_2Eextreal_2Eextreal,X2: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ X2 @ X0 )
& ( c_2Eextreal_2Eextreal__le @ X1 @ X0 ) )
<=> ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ X1 @ X2 ) @ X0 ) ),
inference(rectify,[],[f36]) ).
thf(f36,negated_conjecture,
~ ! [X21: tyop_2Eextreal_2Eextreal,X4: tyop_2Eextreal_2Eextreal,X22: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ X22 @ X21 )
& ( c_2Eextreal_2Eextreal__le @ X4 @ X21 ) )
<=> ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ X4 @ X22 ) @ X21 ) ),
inference(negated_conjecture,[],[f35]) ).
thf(f35,conjecture,
! [X21: tyop_2Eextreal_2Eextreal,X4: tyop_2Eextreal_2Eextreal,X22: tyop_2Eextreal_2Eextreal] :
( ( ( c_2Eextreal_2Eextreal__le @ X22 @ X21 )
& ( c_2Eextreal_2Eextreal__le @ X4 @ X21 ) )
<=> ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ X4 @ X22 ) @ X21 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Emax__le) ).
thf(f188,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f174,f180,f185]) ).
thf(f174,plain,
( ( ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 )
= $true )
| ( ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) @ sK3 )
= $true ) ),
inference(binary_proxy_clausification,[],[f171]) ).
thf(f171,plain,
( ( ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) @ sK3 )
= $true )
| ( ( ( c_2Eextreal_2Eextreal__le @ sK2 @ sK3 )
& ( c_2Eextreal_2Eextreal__le @ sK1 @ sK3 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f170]) ).
thf(f183,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f173,f180,f176]) ).
thf(f173,plain,
( ( ( c_2Eextreal_2Eextreal__le @ ( c_2Eextreal_2Eextreal__max @ sK2 @ sK1 ) @ sK3 )
= $true )
| ( ( c_2Eextreal_2Eextreal__le @ sK1 @ sK3 )
= $true ) ),
inference(binary_proxy_clausification,[],[f171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : ITP021^3 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.15/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n019.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat May 18 16:10:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TH1_THM_EQU_NAR problem
% 0.15/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.39 % (19839)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.39 % (19840)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.39 % (19840)Instruction limit reached!
% 0.15/0.39 % (19840)------------------------------
% 0.15/0.39 % (19840)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (19840)Termination reason: Unknown
% 0.15/0.39 % (19840)Termination phase: Preprocessing 3
% 0.15/0.39
% 0.15/0.39 % (19840)Memory used [KB]: 1023
% 0.15/0.39 % (19840)Time elapsed: 0.004 s
% 0.15/0.39 % (19840)Instructions burned: 4 (million)
% 0.15/0.39 % (19840)------------------------------
% 0.15/0.39 % (19840)------------------------------
% 0.15/0.40 % (19838)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.15/0.40 % (19839)Instruction limit reached!
% 0.15/0.40 % (19839)------------------------------
% 0.15/0.40 % (19839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (19839)Termination reason: Unknown
% 0.15/0.40 % (19839)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (19839)Memory used [KB]: 5756
% 0.15/0.40 % (19839)Time elapsed: 0.010 s
% 0.15/0.40 % (19839)Instructions burned: 18 (million)
% 0.15/0.40 % (19839)------------------------------
% 0.15/0.40 % (19839)------------------------------
% 0.15/0.40 % (19833)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.40 % (19837)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.40 % (19837)Instruction limit reached!
% 0.15/0.40 % (19837)------------------------------
% 0.15/0.40 % (19837)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (19837)Termination reason: Unknown
% 0.15/0.40 % (19837)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (19837)Memory used [KB]: 1023
% 0.15/0.40 % (19837)Time elapsed: 0.002 s
% 0.15/0.40 % (19837)Instructions burned: 2 (million)
% 0.15/0.40 % (19837)------------------------------
% 0.15/0.40 % (19837)------------------------------
% 0.15/0.40 % (19836)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.41 % (19841)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.41 % (19834)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.41 % (19836)Instruction limit reached!
% 0.15/0.41 % (19836)------------------------------
% 0.15/0.41 % (19836)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (19836)Termination reason: Unknown
% 0.15/0.41 % (19836)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (19836)Memory used [KB]: 1023
% 0.15/0.41 % (19836)Time elapsed: 0.003 s
% 0.15/0.41 % (19836)Instructions burned: 2 (million)
% 0.15/0.41 % (19836)------------------------------
% 0.15/0.41 % (19836)------------------------------
% 0.15/0.41 % (19835)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.15/0.41 % (19834)Instruction limit reached!
% 0.15/0.41 % (19834)------------------------------
% 0.15/0.41 % (19834)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (19834)Termination reason: Unknown
% 0.15/0.41 % (19834)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (19834)Memory used [KB]: 1023
% 0.15/0.41 % (19834)Time elapsed: 0.004 s
% 0.15/0.41 % (19834)Instructions burned: 4 (million)
% 0.15/0.41 % (19834)------------------------------
% 0.15/0.41 % (19834)------------------------------
% 0.15/0.41 % (19842)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.42 % (19843)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.42 % (19843)Instruction limit reached!
% 0.15/0.42 % (19843)------------------------------
% 0.15/0.42 % (19843)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (19842)Instruction limit reached!
% 0.15/0.42 % (19842)------------------------------
% 0.15/0.42 % (19842)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (19842)Termination reason: Unknown
% 0.15/0.42 % (19842)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (19842)Memory used [KB]: 1279
% 0.15/0.42 % (19842)Time elapsed: 0.009 s
% 0.15/0.42 % (19842)Instructions burned: 16 (million)
% 0.15/0.42 % (19842)------------------------------
% 0.15/0.42 % (19842)------------------------------
% 0.15/0.42 % (19843)Termination reason: Unknown
% 0.15/0.42 % (19843)Termination phase: Preprocessing 3
% 0.15/0.42
% 0.15/0.42 % (19843)Memory used [KB]: 1023
% 0.15/0.42 % (19843)Time elapsed: 0.004 s
% 0.15/0.42 % (19843)Instructions burned: 4 (million)
% 0.15/0.42 % (19843)------------------------------
% 0.15/0.42 % (19843)------------------------------
% 0.15/0.42 % (19835)Instruction limit reached!
% 0.15/0.42 % (19835)------------------------------
% 0.15/0.42 % (19835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (19835)Termination reason: Unknown
% 0.15/0.42 % (19835)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (19835)Memory used [KB]: 5884
% 0.15/0.42 % (19835)Time elapsed: 0.015 s
% 0.15/0.42 % (19835)Instructions burned: 28 (million)
% 0.15/0.42 % (19835)------------------------------
% 0.15/0.42 % (19835)------------------------------
% 0.15/0.42 % (19844)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.15/0.42 % (19845)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.42 % (19841)Instruction limit reached!
% 0.15/0.42 % (19841)------------------------------
% 0.15/0.42 % (19841)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (19841)Termination reason: Unknown
% 0.15/0.42 % (19841)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (19841)Memory used [KB]: 5884
% 0.15/0.42 % (19841)Time elapsed: 0.019 s
% 0.15/0.42 % (19841)Instructions burned: 37 (million)
% 0.15/0.42 % (19841)------------------------------
% 0.15/0.42 % (19841)------------------------------
% 0.15/0.43 % (19845)Instruction limit reached!
% 0.15/0.43 % (19845)------------------------------
% 0.15/0.43 % (19845)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.43 % (19845)Termination reason: Unknown
% 0.15/0.43 % (19845)Termination phase: Property scanning
% 0.15/0.43
% 0.15/0.43 % (19845)Memory used [KB]: 1151
% 0.15/0.43 % (19845)Time elapsed: 0.006 s
% 0.15/0.43 % (19845)Instructions burned: 7 (million)
% 0.15/0.43 % (19845)------------------------------
% 0.15/0.43 % (19845)------------------------------
% 0.15/0.43 % (19846)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.43 % (19848)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.43 % (19849)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.44 % (19848)Instruction limit reached!
% 0.15/0.44 % (19848)------------------------------
% 0.15/0.44 % (19848)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.44 % (19848)Termination reason: Unknown
% 0.15/0.44 % (19848)Termination phase: Preprocessing 3
% 0.15/0.44
% 0.15/0.44 % (19848)Memory used [KB]: 1023
% 0.15/0.44 % (19848)Time elapsed: 0.003 s
% 0.15/0.44 % (19848)Instructions burned: 4 (million)
% 0.15/0.44 % (19848)------------------------------
% 0.15/0.44 % (19848)------------------------------
% 0.15/0.44 % (19849)Instruction limit reached!
% 0.15/0.44 % (19849)------------------------------
% 0.15/0.44 % (19849)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.44 % (19849)Termination reason: Unknown
% 0.15/0.44 % (19849)Termination phase: Property scanning
% 0.15/0.44
% 0.15/0.44 % (19849)Memory used [KB]: 1151
% 0.15/0.44 % (19849)Time elapsed: 0.005 s
% 0.15/0.44 % (19849)Instructions burned: 7 (million)
% 0.15/0.44 % (19849)------------------------------
% 0.15/0.44 % (19849)------------------------------
% 0.15/0.44 % (19846)Instruction limit reached!
% 0.15/0.44 % (19846)------------------------------
% 0.15/0.44 % (19846)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.44 % (19846)Termination reason: Unknown
% 0.15/0.44 % (19846)Termination phase: Saturation
% 0.15/0.44
% 0.15/0.44 % (19846)Memory used [KB]: 5756
% 0.15/0.44 % (19846)Time elapsed: 0.009 s
% 0.15/0.44 % (19846)Instructions burned: 16 (million)
% 0.15/0.44 % (19846)------------------------------
% 0.15/0.44 % (19846)------------------------------
% 0.15/0.44 % (19847)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.44 % (19847)Instruction limit reached!
% 0.15/0.44 % (19847)------------------------------
% 0.15/0.44 % (19847)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.44 % (19847)Termination reason: Unknown
% 0.15/0.44 % (19847)Termination phase: SInE selection
% 0.15/0.44
% 0.15/0.44 % (19847)Memory used [KB]: 1023
% 0.15/0.44 % (19847)Time elapsed: 0.004 s
% 0.15/0.44 % (19847)Instructions burned: 3 (million)
% 0.15/0.44 % (19847)------------------------------
% 0.15/0.44 % (19847)------------------------------
% 0.22/0.45 % (19851)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.45 % (19851)Instruction limit reached!
% 0.22/0.45 % (19851)------------------------------
% 0.22/0.45 % (19851)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (19852)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.45 % (19851)Termination reason: Unknown
% 0.22/0.45 % (19851)Termination phase: Preprocessing 3
% 0.22/0.45
% 0.22/0.45 % (19851)Memory used [KB]: 1151
% 0.22/0.45 % (19851)Time elapsed: 0.004 s
% 0.22/0.45 % (19851)Instructions burned: 5 (million)
% 0.22/0.45 % (19851)------------------------------
% 0.22/0.45 % (19851)------------------------------
% 0.22/0.45 % (19853)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.45 % (19850)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.46 % (19850)Instruction limit reached!
% 0.22/0.46 % (19850)------------------------------
% 0.22/0.46 % (19850)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (19850)Termination reason: Unknown
% 0.22/0.46 % (19850)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (19850)Memory used [KB]: 1023
% 0.22/0.46 % (19850)Time elapsed: 0.004 s
% 0.22/0.46 % (19850)Instructions burned: 4 (million)
% 0.22/0.46 % (19850)------------------------------
% 0.22/0.46 % (19850)------------------------------
% 0.22/0.46 % (19854)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.46 % (19852)Instruction limit reached!
% 0.22/0.46 % (19852)------------------------------
% 0.22/0.46 % (19852)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (19852)Termination reason: Unknown
% 0.22/0.46 % (19852)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (19852)Memory used [KB]: 5756
% 0.22/0.46 % (19852)Time elapsed: 0.010 s
% 0.22/0.46 % (19852)Instructions burned: 18 (million)
% 0.22/0.46 % (19852)------------------------------
% 0.22/0.46 % (19852)------------------------------
% 0.22/0.46 % (19854)Instruction limit reached!
% 0.22/0.46 % (19854)------------------------------
% 0.22/0.46 % (19854)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (19854)Termination reason: Unknown
% 0.22/0.46 % (19854)Termination phase: Property scanning
% 0.22/0.46
% 0.22/0.46 % (19854)Memory used [KB]: 1151
% 0.22/0.46 % (19854)Time elapsed: 0.004 s
% 0.22/0.46 % (19854)Instructions burned: 6 (million)
% 0.22/0.46 % (19854)------------------------------
% 0.22/0.46 % (19854)------------------------------
% 0.22/0.46 % (19855)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.47 % (19856)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.47 % (19858)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.48 % (19857)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.48 % (19858)Instruction limit reached!
% 0.22/0.48 % (19858)------------------------------
% 0.22/0.48 % (19858)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (19858)Termination reason: Unknown
% 0.22/0.48 % (19858)Termination phase: Property scanning
% 0.22/0.48
% 0.22/0.48 % (19858)Memory used [KB]: 1023
% 0.22/0.48 % (19858)Time elapsed: 0.004 s
% 0.22/0.48 % (19858)Instructions burned: 6 (million)
% 0.22/0.48 % (19858)------------------------------
% 0.22/0.48 % (19858)------------------------------
% 0.22/0.48 % (19857)Instruction limit reached!
% 0.22/0.48 % (19857)------------------------------
% 0.22/0.48 % (19857)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (19857)Termination reason: Unknown
% 0.22/0.48 % (19857)Termination phase: Property scanning
% 0.22/0.48
% 0.22/0.48 % (19857)Memory used [KB]: 1023
% 0.22/0.48 % (19857)Time elapsed: 0.004 s
% 0.22/0.48 % (19857)Instructions burned: 5 (million)
% 0.22/0.48 % (19857)------------------------------
% 0.22/0.48 % (19857)------------------------------
% 0.22/0.48 % (19856)Instruction limit reached!
% 0.22/0.48 % (19856)------------------------------
% 0.22/0.48 % (19856)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (19856)Termination reason: Unknown
% 0.22/0.48 % (19856)Termination phase: Property scanning
% 0.22/0.48
% 0.22/0.48 % (19856)Memory used [KB]: 1407
% 0.22/0.48 % (19856)Time elapsed: 0.012 s
% 0.22/0.48 % (19856)Instructions burned: 21 (million)
% 0.22/0.48 % (19856)------------------------------
% 0.22/0.48 % (19856)------------------------------
% 0.22/0.49 % (19833)Instruction limit reached!
% 0.22/0.49 % (19833)------------------------------
% 0.22/0.49 % (19833)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (19833)Termination reason: Unknown
% 0.22/0.49 % (19833)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (19833)Memory used [KB]: 7036
% 0.22/0.49 % (19833)Time elapsed: 0.090 s
% 0.22/0.49 % (19833)Instructions burned: 183 (million)
% 0.22/0.49 % (19833)------------------------------
% 0.22/0.49 % (19833)------------------------------
% 0.22/0.49 % (19860)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.22/0.49 % (19859)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.50 % (19862)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.22/0.51 % (19861)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.22/0.51 % (19861)Instruction limit reached!
% 0.22/0.51 % (19861)------------------------------
% 0.22/0.51 % (19861)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (19861)Termination reason: Unknown
% 0.22/0.51 % (19861)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (19861)Memory used [KB]: 5756
% 0.22/0.51 % (19861)Time elapsed: 0.010 s
% 0.22/0.51 % (19861)Instructions burned: 20 (million)
% 0.22/0.51 % (19861)------------------------------
% 0.22/0.51 % (19861)------------------------------
% 1.27/0.54 % (19863)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 1.27/0.54 % (19860)First to succeed.
% 1.27/0.54 % (19838)Instruction limit reached!
% 1.27/0.54 % (19838)------------------------------
% 1.27/0.54 % (19838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.27/0.54 % (19838)Termination reason: Unknown
% 1.27/0.54 % (19838)Termination phase: Saturation
% 1.27/0.54
% 1.27/0.54 % (19838)Memory used [KB]: 6268
% 1.27/0.54 % (19838)Time elapsed: 0.134 s
% 1.27/0.54 % (19838)Instructions burned: 277 (million)
% 1.27/0.54 % (19838)------------------------------
% 1.27/0.54 % (19838)------------------------------
% 1.27/0.54 % (19860)Refutation found. Thanks to Tanya!
% 1.27/0.54 % SZS status Theorem for theBenchmark
% 1.27/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.27/0.54 % (19860)------------------------------
% 1.27/0.54 % (19860)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.27/0.54 % (19860)Termination reason: Refutation
% 1.27/0.54
% 1.27/0.54 % (19860)Memory used [KB]: 6012
% 1.27/0.54 % (19860)Time elapsed: 0.076 s
% 1.27/0.54 % (19860)Instructions burned: 136 (million)
% 1.27/0.54 % (19860)------------------------------
% 1.27/0.54 % (19860)------------------------------
% 1.27/0.54 % (19831)Success in time 0.152 s
% 1.27/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------