TSTP Solution File: SYO244^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO244^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : n014.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 : Tue May 21 09:03:38 EDT 2024
% Result : Theorem 0.14s 0.41s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 33
% Syntax : Number of formulae : 189 ( 7 unt; 14 typ; 0 def)
% Number of atoms : 1467 ( 314 equ; 0 cnn)
% Maximal formula atoms : 8 ( 8 avg)
% Number of connectives : 1866 ( 301 ~; 423 |; 96 &; 874 @)
% ( 14 <=>; 78 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 753 ( 753 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 26 usr; 19 con; 0-2 aty)
% ( 39 !!; 41 ??; 0 @@+; 0 @@-)
% Number of variables : 274 ( 114 ^ 117 !; 42 ?; 274 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_12,type,
sK0: ( ( a > $o ) > $o ) > a > $o ).
thf(func_def_13,type,
sK1: ( ( a > $o ) > $o ) > $o ).
thf(func_def_14,type,
sK2: ( ( a > $o ) > $o ) > a > $o ).
thf(func_def_15,type,
sK3: ( a > $o ) > $o ).
thf(func_def_17,type,
ph5:
!>[X0: $tType] : X0 ).
thf(func_def_20,type,
sK6: a ).
thf(func_def_21,type,
sK7: ( a > $o ) > $o ).
thf(func_def_22,type,
sK8: ( ( ( a > $o ) > $o ) > a > $o ) > ( a > $o ) > $o ).
thf(func_def_23,type,
sK9: ( ( ( a > $o ) > $o ) > a > $o ) > ( a > $o ) > $o ).
thf(func_def_24,type,
sK10: ( ( a > $o ) > $o ) > a > $o ).
thf(func_def_25,type,
sK11: ( ( a > $o ) > $o ) > a > $o ).
thf(func_def_26,type,
sK12: ( ( a > $o ) > $o ) > a > $o ).
thf(f659,plain,
$false,
inference(avatar_sat_refutation,[],[f87,f91,f98,f102,f109,f113,f121,f125,f298,f329,f364,f440,f488,f519,f522,f562,f581,f642,f658]) ).
thf(f658,plain,
( ~ spl4_2
| ~ spl4_5
| ~ spl4_7
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f657]) ).
thf(f657,plain,
( $false
| ~ spl4_2
| ~ spl4_5
| ~ spl4_7
| ~ spl4_9 ),
inference(trivial_inequality_removal,[],[f653]) ).
thf(f653,plain,
( ( $true = $false )
| ~ spl4_2
| ~ spl4_5
| ~ spl4_7
| ~ spl4_9 ),
inference(superposition,[],[f650,f112]) ).
thf(f112,plain,
( ! [X1: ( ( a > $o ) > $o ) > a > $o] :
( $true
= ( sK1 @ ( sK9 @ X1 ) ) )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f111]) ).
thf(f111,plain,
( spl4_9
<=> ! [X1: ( ( a > $o ) > $o ) > a > $o] :
( $true
= ( sK1 @ ( sK9 @ X1 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
thf(f650,plain,
( ( ( sK1 @ ( sK9 @ sK10 ) )
= $false )
| ~ spl4_2
| ~ spl4_5
| ~ spl4_7
| ~ spl4_9 ),
inference(trivial_inequality_removal,[],[f643]) ).
thf(f643,plain,
( ( $true = $false )
| ( ( sK1 @ ( sK9 @ sK10 ) )
= $false )
| ~ spl4_2
| ~ spl4_5
| ~ spl4_7
| ~ spl4_9 ),
inference(superposition,[],[f97,f608]) ).
thf(f608,plain,
( ( ( sK10 @ ( sK9 @ sK10 ) @ sK6 )
= $false )
| ~ spl4_2
| ~ spl4_7
| ~ spl4_9 ),
inference(trivial_inequality_removal,[],[f607]) ).
thf(f607,plain,
( ( ( sK10 @ ( sK9 @ sK10 ) @ sK6 )
= $false )
| ( $true = $false )
| ~ spl4_2
| ~ spl4_7
| ~ spl4_9 ),
inference(forward_demodulation,[],[f599,f112]) ).
thf(f599,plain,
( ( ( sK1 @ ( sK9 @ sK10 ) )
= $false )
| ( ( sK10 @ ( sK9 @ sK10 ) @ sK6 )
= $false )
| ~ spl4_2
| ~ spl4_7 ),
inference(trivial_inequality_removal,[],[f591]) ).
thf(f591,plain,
( ( ( sK10 @ ( sK9 @ sK10 ) @ sK6 )
= $false )
| ( $true = $false )
| ( ( sK1 @ ( sK9 @ sK10 ) )
= $false )
| ~ spl4_2
| ~ spl4_7 ),
inference(superposition,[],[f86,f105]) ).
thf(f105,plain,
( ! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $false
= ( sK9 @ X1 @ ( X1 @ ( sK9 @ X1 ) ) ) )
| ( ( X1 @ ( sK9 @ X1 ) @ sK6 )
= $false ) )
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f104]) ).
thf(f104,plain,
( spl4_7
<=> ! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $false
= ( sK9 @ X1 @ ( X1 @ ( sK9 @ X1 ) ) ) )
| ( ( X1 @ ( sK9 @ X1 ) @ sK6 )
= $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
thf(f86,plain,
( ! [X2: ( a > $o ) > $o] :
( ( $true
= ( X2 @ ( sK10 @ X2 ) ) )
| ( $false
= ( sK1 @ X2 ) ) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f85]) ).
thf(f85,plain,
( spl4_2
<=> ! [X2: ( a > $o ) > $o] :
( ( $true
= ( X2 @ ( sK10 @ X2 ) ) )
| ( $false
= ( sK1 @ X2 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
thf(f97,plain,
( ! [X2: ( a > $o ) > $o] :
( ( $true
= ( sK10 @ X2 @ sK6 ) )
| ( $false
= ( sK1 @ X2 ) ) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f96]) ).
thf(f96,plain,
( spl4_5
<=> ! [X2: ( a > $o ) > $o] :
( ( $false
= ( sK1 @ X2 ) )
| ( $true
= ( sK10 @ X2 @ sK6 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
thf(f642,plain,
( ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f641]) ).
thf(f641,plain,
( $false
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_9 ),
inference(trivial_inequality_removal,[],[f637]) ).
thf(f637,plain,
( ( $true = $false )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_9 ),
inference(superposition,[],[f632,f112]) ).
thf(f632,plain,
( ( $false
= ( sK1 @ ( sK9 @ sK11 ) ) )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_9 ),
inference(trivial_inequality_removal,[],[f629]) ).
thf(f629,plain,
( ( $true = $false )
| ( $false
= ( sK1 @ ( sK9 @ sK11 ) ) )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_9 ),
inference(superposition,[],[f101,f606]) ).
thf(f606,plain,
( ( $false
= ( sK11 @ ( sK9 @ sK11 ) @ sK6 ) )
| ~ spl4_4
| ~ spl4_7
| ~ spl4_9 ),
inference(trivial_inequality_removal,[],[f605]) ).
thf(f605,plain,
( ( $true = $false )
| ( $false
= ( sK11 @ ( sK9 @ sK11 ) @ sK6 ) )
| ~ spl4_4
| ~ spl4_7
| ~ spl4_9 ),
inference(forward_demodulation,[],[f600,f112]) ).
thf(f600,plain,
( ( $false
= ( sK11 @ ( sK9 @ sK11 ) @ sK6 ) )
| ( $false
= ( sK1 @ ( sK9 @ sK11 ) ) )
| ~ spl4_4
| ~ spl4_7 ),
inference(trivial_inequality_removal,[],[f587]) ).
thf(f587,plain,
( ( $false
= ( sK11 @ ( sK9 @ sK11 ) @ sK6 ) )
| ( $true = $false )
| ( $false
= ( sK1 @ ( sK9 @ sK11 ) ) )
| ~ spl4_4
| ~ spl4_7 ),
inference(superposition,[],[f105,f94]) ).
thf(f94,plain,
( ! [X1: ( a > $o ) > $o] :
( ( $true
= ( X1 @ ( sK11 @ X1 ) ) )
| ( $false
= ( sK1 @ X1 ) ) )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f93]) ).
thf(f93,plain,
( spl4_4
<=> ! [X1: ( a > $o ) > $o] :
( ( $false
= ( sK1 @ X1 ) )
| ( $true
= ( X1 @ ( sK11 @ X1 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
thf(f101,plain,
( ! [X1: ( a > $o ) > $o] :
( ( $true
= ( sK11 @ X1 @ sK6 ) )
| ( $false
= ( sK1 @ X1 ) ) )
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f100]) ).
thf(f100,plain,
( spl4_6
<=> ! [X1: ( a > $o ) > $o] :
( ( $false
= ( sK1 @ X1 ) )
| ( $true
= ( sK11 @ X1 @ sK6 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
thf(f581,plain,
( ~ spl4_6
| spl4_20
| ~ spl4_31 ),
inference(avatar_contradiction_clause,[],[f580]) ).
thf(f580,plain,
( $false
| ~ spl4_6
| spl4_20
| ~ spl4_31 ),
inference(subsumption_resolution,[],[f576,f383]) ).
thf(f383,plain,
( ( $false
!= ( sK1 @ sK7 ) )
| spl4_20 ),
inference(avatar_component_clause,[],[f382]) ).
thf(f382,plain,
( spl4_20
<=> ( $false
= ( sK1 @ sK7 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
thf(f576,plain,
( ( $false
= ( sK1 @ sK7 ) )
| ~ spl4_6
| ~ spl4_31 ),
inference(trivial_inequality_removal,[],[f573]) ).
thf(f573,plain,
( ( $false
= ( sK1 @ sK7 ) )
| ( $true = $false )
| ~ spl4_6
| ~ spl4_31 ),
inference(superposition,[],[f101,f558]) ).
thf(f558,plain,
( ( $false
= ( sK11 @ sK7 @ sK6 ) )
| ~ spl4_31 ),
inference(avatar_component_clause,[],[f556]) ).
thf(f556,plain,
( spl4_31
<=> ( $false
= ( sK11 @ sK7 @ sK6 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).
thf(f562,plain,
( spl4_31
| ~ spl4_4
| ~ spl4_8
| spl4_20 ),
inference(avatar_split_clause,[],[f561,f382,f107,f93,f556]) ).
thf(f107,plain,
( spl4_8
<=> ! [X2: a > $o] :
( ( ( sK7 @ X2 )
= $false )
| ( ( X2 @ sK6 )
= $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
thf(f561,plain,
( ( $false
= ( sK11 @ sK7 @ sK6 ) )
| ~ spl4_4
| ~ spl4_8
| spl4_20 ),
inference(subsumption_resolution,[],[f502,f383]) ).
thf(f502,plain,
( ( $false
= ( sK11 @ sK7 @ sK6 ) )
| ( $false
= ( sK1 @ sK7 ) )
| ~ spl4_4
| ~ spl4_8 ),
inference(trivial_inequality_removal,[],[f495]) ).
thf(f495,plain,
( ( $false
= ( sK11 @ sK7 @ sK6 ) )
| ( $true = $false )
| ( $false
= ( sK1 @ sK7 ) )
| ~ spl4_4
| ~ spl4_8 ),
inference(superposition,[],[f108,f94]) ).
thf(f108,plain,
( ! [X2: a > $o] :
( ( ( sK7 @ X2 )
= $false )
| ( ( X2 @ sK6 )
= $false ) )
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f107]) ).
thf(f522,plain,
( ~ spl4_10
| ~ spl4_20 ),
inference(avatar_contradiction_clause,[],[f521]) ).
thf(f521,plain,
( $false
| ~ spl4_10
| ~ spl4_20 ),
inference(trivial_inequality_removal,[],[f520]) ).
thf(f520,plain,
( ( $true = $false )
| ~ spl4_10
| ~ spl4_20 ),
inference(forward_demodulation,[],[f117,f384]) ).
thf(f384,plain,
( ( $false
= ( sK1 @ sK7 ) )
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f382]) ).
thf(f117,plain,
( ( $true
= ( sK1 @ sK7 ) )
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f115]) ).
thf(f115,plain,
( spl4_10
<=> ( $true
= ( sK1 @ sK7 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
thf(f519,plain,
( ~ spl4_4
| ~ spl4_6
| ~ spl4_11
| ~ spl4_12 ),
inference(avatar_contradiction_clause,[],[f518]) ).
thf(f518,plain,
( $false
| ~ spl4_4
| ~ spl4_6
| ~ spl4_11
| ~ spl4_12 ),
inference(trivial_inequality_removal,[],[f514]) ).
thf(f514,plain,
( ( $true = $false )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_11
| ~ spl4_12 ),
inference(superposition,[],[f513,f124]) ).
thf(f124,plain,
( ! [X1: ( ( a > $o ) > $o ) > a > $o] :
( $true
= ( sK1 @ ( sK8 @ X1 ) ) )
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f123]) ).
thf(f123,plain,
( spl4_12
<=> ! [X1: ( ( a > $o ) > $o ) > a > $o] :
( $true
= ( sK1 @ ( sK8 @ X1 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
thf(f513,plain,
( ( ( sK1 @ ( sK8 @ sK11 ) )
= $false )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_11
| ~ spl4_12 ),
inference(trivial_inequality_removal,[],[f509]) ).
thf(f509,plain,
( ( ( sK1 @ ( sK8 @ sK11 ) )
= $false )
| ( $true = $false )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_11
| ~ spl4_12 ),
inference(superposition,[],[f101,f506]) ).
thf(f506,plain,
( ( $false
= ( sK11 @ ( sK8 @ sK11 ) @ sK6 ) )
| ~ spl4_4
| ~ spl4_11
| ~ spl4_12 ),
inference(trivial_inequality_removal,[],[f505]) ).
thf(f505,plain,
( ( $true = $false )
| ( $false
= ( sK11 @ ( sK8 @ sK11 ) @ sK6 ) )
| ~ spl4_4
| ~ spl4_11
| ~ spl4_12 ),
inference(forward_demodulation,[],[f499,f124]) ).
thf(f499,plain,
( ( $false
= ( sK11 @ ( sK8 @ sK11 ) @ sK6 ) )
| ( ( sK1 @ ( sK8 @ sK11 ) )
= $false )
| ~ spl4_4
| ~ spl4_11 ),
inference(trivial_inequality_removal,[],[f494]) ).
thf(f494,plain,
( ( $false
= ( sK11 @ ( sK8 @ sK11 ) @ sK6 ) )
| ( $true = $false )
| ( ( sK1 @ ( sK8 @ sK11 ) )
= $false )
| ~ spl4_4
| ~ spl4_11 ),
inference(superposition,[],[f120,f94]) ).
thf(f120,plain,
( ! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( ( sK8 @ X1 @ ( X1 @ ( sK8 @ X1 ) ) )
= $false )
| ( $false
= ( X1 @ ( sK8 @ X1 ) @ sK6 ) ) )
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f119]) ).
thf(f119,plain,
( spl4_11
<=> ! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $false
= ( X1 @ ( sK8 @ X1 ) @ sK6 ) )
| ( ( sK8 @ X1 @ ( X1 @ ( sK8 @ X1 ) ) )
= $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
thf(f488,plain,
( ~ spl4_2
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12 ),
inference(avatar_contradiction_clause,[],[f487]) ).
thf(f487,plain,
( $false
| ~ spl4_2
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12 ),
inference(trivial_inequality_removal,[],[f483]) ).
thf(f483,plain,
( ( $true = $false )
| ~ spl4_2
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12 ),
inference(superposition,[],[f469,f124]) ).
thf(f469,plain,
( ( ( sK1 @ ( sK8 @ sK10 ) )
= $false )
| ~ spl4_2
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12 ),
inference(trivial_inequality_removal,[],[f465]) ).
thf(f465,plain,
( ( ( sK1 @ ( sK8 @ sK10 ) )
= $false )
| ( $true = $false )
| ~ spl4_2
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12 ),
inference(superposition,[],[f97,f458]) ).
thf(f458,plain,
( ( $false
= ( sK10 @ ( sK8 @ sK10 ) @ sK6 ) )
| ~ spl4_2
| ~ spl4_11
| ~ spl4_12 ),
inference(trivial_inequality_removal,[],[f457]) ).
thf(f457,plain,
( ( $false
= ( sK10 @ ( sK8 @ sK10 ) @ sK6 ) )
| ( $true = $false )
| ~ spl4_2
| ~ spl4_11
| ~ spl4_12 ),
inference(forward_demodulation,[],[f452,f124]) ).
thf(f452,plain,
( ( $false
= ( sK10 @ ( sK8 @ sK10 ) @ sK6 ) )
| ( ( sK1 @ ( sK8 @ sK10 ) )
= $false )
| ~ spl4_2
| ~ spl4_11 ),
inference(trivial_inequality_removal,[],[f444]) ).
thf(f444,plain,
( ( ( sK1 @ ( sK8 @ sK10 ) )
= $false )
| ( $false
= ( sK10 @ ( sK8 @ sK10 ) @ sK6 ) )
| ( $true = $false )
| ~ spl4_2
| ~ spl4_11 ),
inference(superposition,[],[f86,f120]) ).
thf(f440,plain,
( ~ spl4_1
| ~ spl4_3
| ~ spl4_11
| ~ spl4_12 ),
inference(avatar_contradiction_clause,[],[f439]) ).
thf(f439,plain,
( $false
| ~ spl4_1
| ~ spl4_3
| ~ spl4_11
| ~ spl4_12 ),
inference(trivial_inequality_removal,[],[f436]) ).
thf(f436,plain,
( ( $true = $false )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_11
| ~ spl4_12 ),
inference(superposition,[],[f124,f431]) ).
thf(f431,plain,
( ( $false
= ( sK1 @ ( sK8 @ sK12 ) ) )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_11
| ~ spl4_12 ),
inference(trivial_inequality_removal,[],[f425]) ).
thf(f425,plain,
( ( $false
= ( sK1 @ ( sK8 @ sK12 ) ) )
| ( $true = $false )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_11
| ~ spl4_12 ),
inference(superposition,[],[f409,f90]) ).
thf(f90,plain,
( ! [X1: ( a > $o ) > $o] :
( ( $true
= ( sK12 @ X1 @ sK6 ) )
| ( $false
= ( sK1 @ X1 ) ) )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f89]) ).
thf(f89,plain,
( spl4_3
<=> ! [X1: ( a > $o ) > $o] :
( ( $false
= ( sK1 @ X1 ) )
| ( $true
= ( sK12 @ X1 @ sK6 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
thf(f409,plain,
( ( ( sK12 @ ( sK8 @ sK12 ) @ sK6 )
= $false )
| ~ spl4_1
| ~ spl4_11
| ~ spl4_12 ),
inference(trivial_inequality_removal,[],[f408]) ).
thf(f408,plain,
( ( ( sK12 @ ( sK8 @ sK12 ) @ sK6 )
= $false )
| ( $true = $false )
| ~ spl4_1
| ~ spl4_11
| ~ spl4_12 ),
inference(forward_demodulation,[],[f407,f124]) ).
thf(f407,plain,
( ( $false
= ( sK1 @ ( sK8 @ sK12 ) ) )
| ( ( sK12 @ ( sK8 @ sK12 ) @ sK6 )
= $false )
| ~ spl4_1
| ~ spl4_11 ),
inference(trivial_inequality_removal,[],[f398]) ).
thf(f398,plain,
( ( $true = $false )
| ( ( sK12 @ ( sK8 @ sK12 ) @ sK6 )
= $false )
| ( $false
= ( sK1 @ ( sK8 @ sK12 ) ) )
| ~ spl4_1
| ~ spl4_11 ),
inference(superposition,[],[f83,f120]) ).
thf(f83,plain,
( ! [X1: ( a > $o ) > $o] :
( ( $true
= ( X1 @ ( sK12 @ X1 ) ) )
| ( $false
= ( sK1 @ X1 ) ) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f82]) ).
thf(f82,plain,
( spl4_1
<=> ! [X1: ( a > $o ) > $o] :
( ( $true
= ( X1 @ ( sK12 @ X1 ) ) )
| ( $false
= ( sK1 @ X1 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
thf(f364,plain,
( ~ spl4_1
| ~ spl4_3
| ~ spl4_7
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f363]) ).
thf(f363,plain,
( $false
| ~ spl4_1
| ~ spl4_3
| ~ spl4_7
| ~ spl4_9 ),
inference(trivial_inequality_removal,[],[f359]) ).
thf(f359,plain,
( ( $true = $false )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_7
| ~ spl4_9 ),
inference(superposition,[],[f358,f112]) ).
thf(f358,plain,
( ( ( sK1 @ ( sK9 @ sK12 ) )
= $false )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_7
| ~ spl4_9 ),
inference(trivial_inequality_removal,[],[f354]) ).
thf(f354,plain,
( ( ( sK1 @ ( sK9 @ sK12 ) )
= $false )
| ( $true = $false )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_7
| ~ spl4_9 ),
inference(superposition,[],[f90,f347]) ).
thf(f347,plain,
( ( ( sK12 @ ( sK9 @ sK12 ) @ sK6 )
= $false )
| ~ spl4_1
| ~ spl4_7
| ~ spl4_9 ),
inference(trivial_inequality_removal,[],[f346]) ).
thf(f346,plain,
( ( $true = $false )
| ( ( sK12 @ ( sK9 @ sK12 ) @ sK6 )
= $false )
| ~ spl4_1
| ~ spl4_7
| ~ spl4_9 ),
inference(forward_demodulation,[],[f343,f112]) ).
thf(f343,plain,
( ( ( sK12 @ ( sK9 @ sK12 ) @ sK6 )
= $false )
| ( ( sK1 @ ( sK9 @ sK12 ) )
= $false )
| ~ spl4_1
| ~ spl4_7 ),
inference(trivial_inequality_removal,[],[f336]) ).
thf(f336,plain,
( ( $true = $false )
| ( ( sK1 @ ( sK9 @ sK12 ) )
= $false )
| ( ( sK12 @ ( sK9 @ sK12 ) @ sK6 )
= $false )
| ~ spl4_1
| ~ spl4_7 ),
inference(superposition,[],[f83,f105]) ).
thf(f329,plain,
( ~ spl4_1
| ~ spl4_3
| ~ spl4_8
| ~ spl4_10 ),
inference(avatar_contradiction_clause,[],[f328]) ).
thf(f328,plain,
( $false
| ~ spl4_1
| ~ spl4_3
| ~ spl4_8
| ~ spl4_10 ),
inference(trivial_inequality_removal,[],[f325]) ).
thf(f325,plain,
( ( $true = $false )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_8
| ~ spl4_10 ),
inference(superposition,[],[f117,f323]) ).
thf(f323,plain,
( ( $false
= ( sK1 @ sK7 ) )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_8
| ~ spl4_10 ),
inference(trivial_inequality_removal,[],[f317]) ).
thf(f317,plain,
( ( $false
= ( sK1 @ sK7 ) )
| ( $true = $false )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_8
| ~ spl4_10 ),
inference(superposition,[],[f315,f90]) ).
thf(f315,plain,
( ( $false
= ( sK12 @ sK7 @ sK6 ) )
| ~ spl4_1
| ~ spl4_8
| ~ spl4_10 ),
inference(trivial_inequality_removal,[],[f314]) ).
thf(f314,plain,
( ( $true = $false )
| ( $false
= ( sK12 @ sK7 @ sK6 ) )
| ~ spl4_1
| ~ spl4_8
| ~ spl4_10 ),
inference(forward_demodulation,[],[f309,f117]) ).
thf(f309,plain,
( ( $false
= ( sK12 @ sK7 @ sK6 ) )
| ( $false
= ( sK1 @ sK7 ) )
| ~ spl4_1
| ~ spl4_8 ),
inference(trivial_inequality_removal,[],[f305]) ).
thf(f305,plain,
( ( $false
= ( sK12 @ sK7 @ sK6 ) )
| ( $true = $false )
| ( $false
= ( sK1 @ sK7 ) )
| ~ spl4_1
| ~ spl4_8 ),
inference(superposition,[],[f83,f108]) ).
thf(f298,plain,
( ~ spl4_2
| ~ spl4_5
| ~ spl4_8
| ~ spl4_10 ),
inference(avatar_contradiction_clause,[],[f297]) ).
thf(f297,plain,
( $false
| ~ spl4_2
| ~ spl4_5
| ~ spl4_8
| ~ spl4_10 ),
inference(trivial_inequality_removal,[],[f294]) ).
thf(f294,plain,
( ( $true = $false )
| ~ spl4_2
| ~ spl4_5
| ~ spl4_8
| ~ spl4_10 ),
inference(superposition,[],[f117,f291]) ).
thf(f291,plain,
( ( $false
= ( sK1 @ sK7 ) )
| ~ spl4_2
| ~ spl4_5
| ~ spl4_8
| ~ spl4_10 ),
inference(trivial_inequality_removal,[],[f288]) ).
thf(f288,plain,
( ( $true = $false )
| ( $false
= ( sK1 @ sK7 ) )
| ~ spl4_2
| ~ spl4_5
| ~ spl4_8
| ~ spl4_10 ),
inference(superposition,[],[f97,f281]) ).
thf(f281,plain,
( ( $false
= ( sK10 @ sK7 @ sK6 ) )
| ~ spl4_2
| ~ spl4_8
| ~ spl4_10 ),
inference(trivial_inequality_removal,[],[f280]) ).
thf(f280,plain,
( ( $true = $false )
| ( $false
= ( sK10 @ sK7 @ sK6 ) )
| ~ spl4_2
| ~ spl4_8
| ~ spl4_10 ),
inference(forward_demodulation,[],[f279,f117]) ).
thf(f279,plain,
( ( $false
= ( sK1 @ sK7 ) )
| ( $false
= ( sK10 @ sK7 @ sK6 ) )
| ~ spl4_2
| ~ spl4_8 ),
inference(trivial_inequality_removal,[],[f270]) ).
thf(f270,plain,
( ( $false
= ( sK10 @ sK7 @ sK6 ) )
| ( $true = $false )
| ( $false
= ( sK1 @ sK7 ) )
| ~ spl4_2
| ~ spl4_8 ),
inference(superposition,[],[f86,f108]) ).
thf(f125,plain,
( spl4_10
| spl4_12 ),
inference(avatar_split_clause,[],[f53,f123,f115]) ).
thf(f53,plain,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $true
= ( sK1 @ ( sK8 @ X1 ) ) )
| ( $true
= ( sK1 @ sK7 ) ) ),
inference(binary_proxy_clausification,[],[f51]) ).
thf(f51,plain,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $true
= ( sK1 @ sK7 ) )
| ( ( ( sK1 @ ( sK8 @ X1 ) )
=> ( ( X1 @ ( sK8 @ X1 ) @ sK6 )
& ( sK8 @ X1 @ ( X1 @ ( sK8 @ X1 ) ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f50]) ).
thf(f50,plain,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( ( ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ( X1 @ Y0 @ sK6 )
& ( Y0 @ ( X1 @ Y0 ) ) ) )
@ ( sK8 @ X1 ) )
= $false )
| ( $true
= ( sK1 @ sK7 ) ) ),
inference(sigma_clausification,[],[f49]) ).
thf(f49,plain,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $true
= ( sK1 @ sK7 ) )
| ( $false
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ( X1 @ Y0 @ sK6 )
& ( Y0 @ ( X1 @ Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f47]) ).
thf(f47,plain,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $false
= ( ( sK1 @ sK7 )
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( sK7 @ Y0 ) ) ) ) )
| ( $false
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ( X1 @ Y0 @ sK6 )
& ( Y0 @ ( X1 @ Y0 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f46]) ).
thf(f46,plain,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $false
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ( X1 @ Y0 @ sK6 )
& ( Y0 @ ( X1 @ Y0 ) ) ) ) ) )
| ( ( ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ sK6 )
& ( Y0 @ Y1 ) ) ) )
@ sK7 )
= $false ) ),
inference(sigma_clausification,[],[f45]) ).
thf(f45,plain,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $false
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ sK6 )
& ( Y0 @ Y1 ) ) ) ) ) )
| ( $false
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ( X1 @ Y0 @ sK6 )
& ( Y0 @ ( X1 @ Y0 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f44]) ).
thf(f44,plain,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $false
= ( ^ [Y0: ( ( a > $o ) > $o ) > a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( sK1 @ Y1 )
=> ( ( Y0 @ Y1 @ sK6 )
& ( Y1 @ ( Y0 @ Y1 ) ) ) ) )
@ X1 ) )
| ( $false
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ sK6 )
& ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(pi_clausification,[],[f43]) ).
thf(f43,plain,
( ( $false
= ( ?? @ ( ( ( a > $o ) > $o ) > a > $o )
@ ^ [Y0: ( ( a > $o ) > $o ) > a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( sK1 @ Y1 )
=> ( ( Y0 @ Y1 @ sK6 )
& ( Y1 @ ( Y0 @ Y1 ) ) ) ) ) ) )
| ( $false
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ sK6 )
& ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f41]) ).
thf(f41,plain,
( ( ?? @ ( ( ( a > $o ) > $o ) > a > $o )
@ ^ [Y0: ( ( a > $o ) > $o ) > a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( sK1 @ Y1 )
=> ( ( Y0 @ Y1 @ sK6 )
& ( Y1 @ ( Y0 @ Y1 ) ) ) ) ) )
!= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ sK6 )
& ( Y0 @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f40]) ).
thf(f40,plain,
( ( ^ [Y0: a] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( sK1 @ Y1 )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( Y1 @ Y2 ) ) ) ) )
@ sK6 )
!= ( ^ [Y0: a] :
( ?? @ ( ( ( a > $o ) > $o ) > a > $o )
@ ^ [Y1: ( ( a > $o ) > $o ) > a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( sK1 @ Y2 )
=> ( ( Y1 @ Y2 @ Y0 )
& ( Y2 @ ( Y1 @ Y2 ) ) ) ) ) )
@ sK6 ) ),
inference(negative_extensionality,[],[f15]) ).
thf(f15,plain,
( ( ^ [Y0: a] :
( ?? @ ( ( ( a > $o ) > $o ) > a > $o )
@ ^ [Y1: ( ( a > $o ) > $o ) > a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( sK1 @ Y2 )
=> ( ( Y1 @ Y2 @ Y0 )
& ( Y2 @ ( Y1 @ Y2 ) ) ) ) ) ) )
!= ( ^ [Y0: a] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( sK1 @ Y1 )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( ! [X1: ( a > $o ) > $o] :
( ! [X2: a > $o] :
( ( X1 @ X2 )
!= $true )
| ( $true
= ( X1 @ ( sK0 @ X1 ) ) ) )
& ! [X4: ( a > $o ) > $o] :
( ( $true
= ( X4 @ ( sK2 @ X4 ) ) )
| ( $true
!= ( sK1 @ X4 ) ) )
& ( ( ^ [Y0: a] :
( ?? @ ( ( ( a > $o ) > $o ) > a > $o )
@ ^ [Y1: ( ( a > $o ) > $o ) > a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( sK1 @ Y2 )
=> ( ( Y1 @ Y2 @ Y0 )
& ( Y2 @ ( Y1 @ Y2 ) ) ) ) ) ) )
!= ( ^ [Y0: a] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( sK1 @ Y1 )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( Y1 @ Y2 ) ) ) ) ) ) )
& ( $true
= ( sK1 @ sK3 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f8,f12,f11,f10,f9]) ).
thf(f9,plain,
( ? [X0: ( ( a > $o ) > $o ) > a > $o] :
! [X1: ( a > $o ) > $o] :
( ! [X2: a > $o] :
( ( X1 @ X2 )
!= $true )
| ( ( X1 @ ( X0 @ X1 ) )
= $true ) )
=> ! [X1: ( a > $o ) > $o] :
( ! [X2: a > $o] :
( ( X1 @ X2 )
!= $true )
| ( $true
= ( X1 @ ( sK0 @ X1 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
( ? [X3: ( ( a > $o ) > $o ) > $o] :
( ! [X4: ( a > $o ) > $o] :
( ? [X5: a > $o] :
( $true
= ( X4 @ X5 ) )
| ( $true
!= ( X3 @ X4 ) ) )
& ( ( ^ [Y0: a] :
( ?? @ ( ( ( a > $o ) > $o ) > a > $o )
@ ^ [Y1: ( ( a > $o ) > $o ) > a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( X3 @ Y2 )
=> ( ( Y1 @ Y2 @ Y0 )
& ( Y2 @ ( Y1 @ Y2 ) ) ) ) ) ) )
!= ( ^ [Y0: a] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( X3 @ Y1 )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( Y1 @ Y2 ) ) ) ) ) ) )
& ? [X6: ( a > $o ) > $o] :
( ( X3 @ X6 )
= $true ) )
=> ( ! [X4: ( a > $o ) > $o] :
( ? [X5: a > $o] :
( $true
= ( X4 @ X5 ) )
| ( $true
!= ( sK1 @ X4 ) ) )
& ( ( ^ [Y0: a] :
( ?? @ ( ( ( a > $o ) > $o ) > a > $o )
@ ^ [Y1: ( ( a > $o ) > $o ) > a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( sK1 @ Y2 )
=> ( ( Y1 @ Y2 @ Y0 )
& ( Y2 @ ( Y1 @ Y2 ) ) ) ) ) ) )
!= ( ^ [Y0: a] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( sK1 @ Y1 )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( Y1 @ Y2 ) ) ) ) ) ) )
& ? [X6: ( a > $o ) > $o] :
( $true
= ( sK1 @ X6 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
! [X4: ( a > $o ) > $o] :
( ? [X5: a > $o] :
( $true
= ( X4 @ X5 ) )
=> ( $true
= ( X4 @ ( sK2 @ X4 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
( ? [X6: ( a > $o ) > $o] :
( $true
= ( sK1 @ X6 ) )
=> ( $true
= ( sK1 @ sK3 ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
( ? [X0: ( ( a > $o ) > $o ) > a > $o] :
! [X1: ( a > $o ) > $o] :
( ! [X2: a > $o] :
( ( X1 @ X2 )
!= $true )
| ( ( X1 @ ( X0 @ X1 ) )
= $true ) )
& ? [X3: ( ( a > $o ) > $o ) > $o] :
( ! [X4: ( a > $o ) > $o] :
( ? [X5: a > $o] :
( $true
= ( X4 @ X5 ) )
| ( $true
!= ( X3 @ X4 ) ) )
& ( ( ^ [Y0: a] :
( ?? @ ( ( ( a > $o ) > $o ) > a > $o )
@ ^ [Y1: ( ( a > $o ) > $o ) > a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( X3 @ Y2 )
=> ( ( Y1 @ Y2 @ Y0 )
& ( Y2 @ ( Y1 @ Y2 ) ) ) ) ) ) )
!= ( ^ [Y0: a] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( X3 @ Y1 )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( Y1 @ Y2 ) ) ) ) ) ) )
& ? [X6: ( a > $o ) > $o] :
( ( X3 @ X6 )
= $true ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
( ? [X0: ( ( a > $o ) > $o ) > a > $o] :
! [X1: ( a > $o ) > $o] :
( ! [X2: a > $o] :
( ( X1 @ X2 )
!= $true )
| ( ( X1 @ ( X0 @ X1 ) )
= $true ) )
& ? [X3: ( ( a > $o ) > $o ) > $o] :
( ! [X5: ( a > $o ) > $o] :
( ? [X6: a > $o] :
( $true
= ( X5 @ X6 ) )
| ( $true
!= ( X3 @ X5 ) ) )
& ( ( ^ [Y0: a] :
( ?? @ ( ( ( a > $o ) > $o ) > a > $o )
@ ^ [Y1: ( ( a > $o ) > $o ) > a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( X3 @ Y2 )
=> ( ( Y1 @ Y2 @ Y0 )
& ( Y2 @ ( Y1 @ Y2 ) ) ) ) ) ) )
!= ( ^ [Y0: a] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( X3 @ Y1 )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( Y1 @ Y2 ) ) ) ) ) ) )
& ? [X4: ( a > $o ) > $o] :
( $true
= ( X3 @ X4 ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
( ? [X3: ( ( a > $o ) > $o ) > $o] :
( ( ( ^ [Y0: a] :
( ?? @ ( ( ( a > $o ) > $o ) > a > $o )
@ ^ [Y1: ( ( a > $o ) > $o ) > a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( X3 @ Y2 )
=> ( ( Y1 @ Y2 @ Y0 )
& ( Y2 @ ( Y1 @ Y2 ) ) ) ) ) ) )
!= ( ^ [Y0: a] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( X3 @ Y1 )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( Y1 @ Y2 ) ) ) ) ) ) )
& ? [X4: ( a > $o ) > $o] :
( $true
= ( X3 @ X4 ) )
& ! [X5: ( a > $o ) > $o] :
( ? [X6: a > $o] :
( $true
= ( X5 @ X6 ) )
| ( $true
!= ( X3 @ X5 ) ) ) )
& ? [X0: ( ( a > $o ) > $o ) > a > $o] :
! [X1: ( a > $o ) > $o] :
( ! [X2: a > $o] :
( ( X1 @ X2 )
!= $true )
| ( ( X1 @ ( X0 @ X1 ) )
= $true ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ( ? [X0: ( ( a > $o ) > $o ) > a > $o] :
! [X1: ( a > $o ) > $o] :
( ? [X2: a > $o] :
( ( X1 @ X2 )
= $true )
=> ( ( X1 @ ( X0 @ X1 ) )
= $true ) )
=> ! [X3: ( ( a > $o ) > $o ) > $o] :
( ( ? [X4: ( a > $o ) > $o] :
( $true
= ( X3 @ X4 ) )
& ! [X5: ( a > $o ) > $o] :
( ( $true
= ( X3 @ X5 ) )
=> ? [X6: a > $o] :
( $true
= ( X5 @ X6 ) ) ) )
=> ( ( ^ [Y0: a] :
( ?? @ ( ( ( a > $o ) > $o ) > a > $o )
@ ^ [Y1: ( ( a > $o ) > $o ) > a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( X3 @ Y2 )
=> ( ( Y1 @ Y2 @ Y0 )
& ( Y2 @ ( Y1 @ Y2 ) ) ) ) ) ) )
= ( ^ [Y0: a] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( X3 @ Y1 )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ? [X0: ( ( a > $o ) > $o ) > a > $o] :
! [X1: ( a > $o ) > $o] :
( ? [X2: a > $o] : ( X1 @ X2 )
=> ( X1 @ ( X0 @ X1 ) ) )
=> ! [X3: ( ( a > $o ) > $o ) > $o] :
( ( ? [X4: ( a > $o ) > $o] : ( X3 @ X4 )
& ! [X5: ( a > $o ) > $o] :
( ( X3 @ X5 )
=> ? [X6: a > $o] : ( X5 @ X6 ) ) )
=> ( ( ^ [X7: a] :
? [X8: ( ( a > $o ) > $o ) > a > $o] :
! [X9: ( a > $o ) > $o] :
( ( X3 @ X9 )
=> ( ( X9 @ ( X8 @ X9 ) )
& ( X8 @ X9 @ X7 ) ) ) )
= ( ^ [X10: a] :
! [X11: ( a > $o ) > $o] :
( ( X3 @ X11 )
=> ? [X12: a > $o] :
( ( X11 @ X12 )
& ( X12 @ X10 ) ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ? [X0: ( ( a > $o ) > $o ) > a > $o] :
! [X1: ( a > $o ) > $o] :
( ? [X2: a > $o] : ( X1 @ X2 )
=> ( X1 @ ( X0 @ X1 ) ) )
=> ! [X3: ( ( a > $o ) > $o ) > $o] :
( ( ? [X1: ( a > $o ) > $o] : ( X3 @ X1 )
& ! [X1: ( a > $o ) > $o] :
( ( X3 @ X1 )
=> ? [X4: a > $o] : ( X1 @ X4 ) ) )
=> ( ( ^ [X5: a] :
? [X0: ( ( a > $o ) > $o ) > a > $o] :
! [X6: ( a > $o ) > $o] :
( ( X3 @ X6 )
=> ( ( X6 @ ( X0 @ X6 ) )
& ( X0 @ X6 @ X5 ) ) ) )
= ( ^ [X5: a] :
! [X6: ( a > $o ) > $o] :
( ( X3 @ X6 )
=> ? [X7: a > $o] :
( ( X6 @ X7 )
& ( X7 @ X5 ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ? [X0: ( ( a > $o ) > $o ) > a > $o] :
! [X1: ( a > $o ) > $o] :
( ? [X2: a > $o] : ( X1 @ X2 )
=> ( X1 @ ( X0 @ X1 ) ) )
=> ! [X3: ( ( a > $o ) > $o ) > $o] :
( ( ? [X1: ( a > $o ) > $o] : ( X3 @ X1 )
& ! [X1: ( a > $o ) > $o] :
( ( X3 @ X1 )
=> ? [X4: a > $o] : ( X1 @ X4 ) ) )
=> ( ( ^ [X5: a] :
? [X0: ( ( a > $o ) > $o ) > a > $o] :
! [X6: ( a > $o ) > $o] :
( ( X3 @ X6 )
=> ( ( X6 @ ( X0 @ X6 ) )
& ( X0 @ X6 @ X5 ) ) ) )
= ( ^ [X5: a] :
! [X6: ( a > $o ) > $o] :
( ( X3 @ X6 )
=> ? [X7: a > $o] :
( ( X6 @ X7 )
& ( X7 @ X5 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM535B) ).
thf(f121,plain,
( spl4_10
| spl4_11 ),
inference(avatar_split_clause,[],[f54,f119,f115]) ).
thf(f54,plain,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $false
= ( X1 @ ( sK8 @ X1 ) @ sK6 ) )
| ( $true
= ( sK1 @ sK7 ) )
| ( ( sK8 @ X1 @ ( X1 @ ( sK8 @ X1 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f52]) ).
thf(f52,plain,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $false
= ( ( X1 @ ( sK8 @ X1 ) @ sK6 )
& ( sK8 @ X1 @ ( X1 @ ( sK8 @ X1 ) ) ) ) )
| ( $true
= ( sK1 @ sK7 ) ) ),
inference(binary_proxy_clausification,[],[f51]) ).
thf(f113,plain,
( spl4_8
| spl4_9 ),
inference(avatar_split_clause,[],[f61,f111,f107]) ).
thf(f61,plain,
! [X2: a > $o,X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $true
= ( sK1 @ ( sK9 @ X1 ) ) )
| ( ( X2 @ sK6 )
= $false )
| ( ( sK7 @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[],[f59]) ).
thf(f59,plain,
! [X2: a > $o,X1: ( ( a > $o ) > $o ) > a > $o] :
( ( ( X2 @ sK6 )
= $false )
| ( ( sK7 @ X2 )
= $false )
| ( $false
= ( ( sK1 @ ( sK9 @ X1 ) )
=> ( ( X1 @ ( sK9 @ X1 ) @ sK6 )
& ( sK9 @ X1 @ ( X1 @ ( sK9 @ X1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f58]) ).
thf(f58,plain,
! [X2: a > $o,X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $false
= ( ( X2 @ sK6 )
& ( sK7 @ X2 ) ) )
| ( $false
= ( ( sK1 @ ( sK9 @ X1 ) )
=> ( ( X1 @ ( sK9 @ X1 ) @ sK6 )
& ( sK9 @ X1 @ ( X1 @ ( sK9 @ X1 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f57]) ).
thf(f57,plain,
! [X2: a > $o,X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $false
= ( ( X2 @ sK6 )
& ( sK7 @ X2 ) ) )
| ( $false
= ( ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ( X1 @ Y0 @ sK6 )
& ( Y0 @ ( X1 @ Y0 ) ) ) )
@ ( sK9 @ X1 ) ) ) ),
inference(sigma_clausification,[],[f56]) ).
thf(f56,plain,
! [X2: a > $o,X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $false
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ( X1 @ Y0 @ sK6 )
& ( Y0 @ ( X1 @ Y0 ) ) ) ) ) )
| ( $false
= ( ( X2 @ sK6 )
& ( sK7 @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f55]) ).
thf(f55,plain,
! [X2: a > $o,X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $false
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ( X1 @ Y0 @ sK6 )
& ( Y0 @ ( X1 @ Y0 ) ) ) ) ) )
| ( ( ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( sK7 @ Y0 ) )
@ X2 )
= $false ) ),
inference(pi_clausification,[],[f48]) ).
thf(f48,plain,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( sK7 @ Y0 ) ) ) )
| ( $false
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ( X1 @ Y0 @ sK6 )
& ( Y0 @ ( X1 @ Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f47]) ).
thf(f109,plain,
( spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f62,f107,f104]) ).
thf(f62,plain,
! [X2: a > $o,X1: ( ( a > $o ) > $o ) > a > $o] :
( ( ( sK7 @ X2 )
= $false )
| ( $false
= ( sK9 @ X1 @ ( X1 @ ( sK9 @ X1 ) ) ) )
| ( ( X1 @ ( sK9 @ X1 ) @ sK6 )
= $false )
| ( ( X2 @ sK6 )
= $false ) ),
inference(binary_proxy_clausification,[],[f60]) ).
thf(f60,plain,
! [X2: a > $o,X1: ( ( a > $o ) > $o ) > a > $o] :
( ( ( X2 @ sK6 )
= $false )
| ( $false
= ( ( X1 @ ( sK9 @ X1 ) @ sK6 )
& ( sK9 @ X1 @ ( X1 @ ( sK9 @ X1 ) ) ) ) )
| ( ( sK7 @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[],[f59]) ).
thf(f102,plain,
( spl4_6
| spl4_5 ),
inference(avatar_split_clause,[],[f76,f96,f100]) ).
thf(f76,plain,
! [X2: ( a > $o ) > $o,X1: ( a > $o ) > $o] :
( ( $false
= ( sK1 @ X1 ) )
| ( $true
= ( sK11 @ X1 @ sK6 ) )
| ( $false
= ( sK1 @ X2 ) )
| ( $true
= ( sK10 @ X2 @ sK6 ) ) ),
inference(binary_proxy_clausification,[],[f74]) ).
thf(f74,plain,
! [X2: ( a > $o ) > $o,X1: ( a > $o ) > $o] :
( ( $true
= ( sK10 @ X2 @ sK6 ) )
| ( $false
= ( sK1 @ X2 ) )
| ( $false
= ( sK1 @ X1 ) )
| ( $true
= ( ( sK11 @ X1 @ sK6 )
& ( X1 @ ( sK11 @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[],[f73]) ).
thf(f73,plain,
! [X2: ( a > $o ) > $o,X1: ( a > $o ) > $o] :
( ( $false
= ( sK1 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) )
| ( $true
= ( sK10 @ X2 @ sK6 ) )
| ( $true
= ( ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( X1 @ Y0 ) )
@ ( sK11 @ X1 ) ) ) ),
inference(sigma_clausification,[],[f72]) ).
thf(f72,plain,
! [X2: ( a > $o ) > $o,X1: ( a > $o ) > $o] :
( ( $false
= ( sK1 @ X2 ) )
| ( $true
= ( sK10 @ X2 @ sK6 ) )
| ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( X1 @ Y0 ) ) ) )
| ( $false
= ( sK1 @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f70]) ).
thf(f70,plain,
! [X2: ( a > $o ) > $o,X1: ( a > $o ) > $o] :
( ( $true
= ( ( sK10 @ X2 @ sK6 )
& ( X2 @ ( sK10 @ X2 ) ) ) )
| ( $false
= ( sK1 @ X2 ) )
| ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( X1 @ Y0 ) ) ) )
| ( $false
= ( sK1 @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f69]) ).
thf(f69,plain,
! [X2: ( a > $o ) > $o,X1: ( a > $o ) > $o] :
( ( $true
= ( ( sK1 @ X2 )
=> ( ( sK10 @ X2 @ sK6 )
& ( X2 @ ( sK10 @ X2 ) ) ) ) )
| ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( X1 @ Y0 ) ) ) )
| ( $false
= ( sK1 @ X1 ) ) ),
inference(beta_eta_normalization,[],[f68]) ).
thf(f68,plain,
! [X2: ( a > $o ) > $o,X1: ( a > $o ) > $o] :
( ( $true
= ( ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ( sK10 @ Y0 @ sK6 )
& ( Y0 @ ( sK10 @ Y0 ) ) ) )
@ X2 ) )
| ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( X1 @ Y0 ) ) ) )
| ( $false
= ( sK1 @ X1 ) ) ),
inference(pi_clausification,[],[f67]) ).
thf(f67,plain,
! [X1: ( a > $o ) > $o] :
( ( $false
= ( sK1 @ X1 ) )
| ( $true
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ( sK10 @ Y0 @ sK6 )
& ( Y0 @ ( sK10 @ Y0 ) ) ) ) ) )
| ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( X1 @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f66]) ).
thf(f66,plain,
! [X1: ( a > $o ) > $o] :
( ( $true
= ( ( sK1 @ X1 )
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( X1 @ Y0 ) ) ) ) )
| ( $true
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ( sK10 @ Y0 @ sK6 )
& ( Y0 @ ( sK10 @ Y0 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f65]) ).
thf(f65,plain,
! [X1: ( a > $o ) > $o] :
( ( $true
= ( ^ [Y0: ( ( a > $o ) > $o ) > a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( sK1 @ Y1 )
=> ( ( Y0 @ Y1 @ sK6 )
& ( Y1 @ ( Y0 @ Y1 ) ) ) ) )
@ sK10 ) )
| ( $true
= ( ( sK1 @ X1 )
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( X1 @ Y0 ) ) ) ) ) ),
inference(sigma_clausification,[],[f64]) ).
thf(f64,plain,
! [X1: ( a > $o ) > $o] :
( ( $true
= ( ?? @ ( ( ( a > $o ) > $o ) > a > $o )
@ ^ [Y0: ( ( a > $o ) > $o ) > a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( sK1 @ Y1 )
=> ( ( Y0 @ Y1 @ sK6 )
& ( Y1 @ ( Y0 @ Y1 ) ) ) ) ) ) )
| ( $true
= ( ( sK1 @ X1 )
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( X1 @ Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f63]) ).
thf(f63,plain,
! [X1: ( a > $o ) > $o] :
( ( $true
= ( ?? @ ( ( ( a > $o ) > $o ) > a > $o )
@ ^ [Y0: ( ( a > $o ) > $o ) > a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( sK1 @ Y1 )
=> ( ( Y0 @ Y1 @ sK6 )
& ( Y1 @ ( Y0 @ Y1 ) ) ) ) ) ) )
| ( $true
= ( ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ sK6 )
& ( Y0 @ Y1 ) ) ) )
@ X1 ) ) ),
inference(pi_clausification,[],[f42]) ).
thf(f42,plain,
( ( $true
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( sK1 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ sK6 )
& ( Y0 @ Y1 ) ) ) ) ) )
| ( $true
= ( ?? @ ( ( ( a > $o ) > $o ) > a > $o )
@ ^ [Y0: ( ( a > $o ) > $o ) > a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( sK1 @ Y1 )
=> ( ( Y0 @ Y1 @ sK6 )
& ( Y1 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f41]) ).
thf(f98,plain,
( spl4_4
| spl4_5 ),
inference(avatar_split_clause,[],[f75,f96,f93]) ).
thf(f75,plain,
! [X2: ( a > $o ) > $o,X1: ( a > $o ) > $o] :
( ( $false
= ( sK1 @ X2 ) )
| ( $false
= ( sK1 @ X1 ) )
| ( $true
= ( X1 @ ( sK11 @ X1 ) ) )
| ( $true
= ( sK10 @ X2 @ sK6 ) ) ),
inference(binary_proxy_clausification,[],[f74]) ).
thf(f91,plain,
( spl4_2
| spl4_3 ),
inference(avatar_split_clause,[],[f80,f89,f85]) ).
thf(f80,plain,
! [X2: ( a > $o ) > $o,X1: ( a > $o ) > $o] :
( ( $true
= ( X2 @ ( sK10 @ X2 ) ) )
| ( $false
= ( sK1 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) )
| ( $true
= ( sK12 @ X1 @ sK6 ) ) ),
inference(binary_proxy_clausification,[],[f78]) ).
thf(f78,plain,
! [X2: ( a > $o ) > $o,X1: ( a > $o ) > $o] :
( ( $true
= ( ( sK12 @ X1 @ sK6 )
& ( X1 @ ( sK12 @ X1 ) ) ) )
| ( $false
= ( sK1 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) )
| ( $true
= ( X2 @ ( sK10 @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f77]) ).
thf(f77,plain,
! [X2: ( a > $o ) > $o,X1: ( a > $o ) > $o] :
( ( $false
= ( sK1 @ X2 ) )
| ( $true
= ( X2 @ ( sK10 @ X2 ) ) )
| ( $true
= ( ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( X1 @ Y0 ) )
@ ( sK12 @ X1 ) ) )
| ( $false
= ( sK1 @ X1 ) ) ),
inference(sigma_clausification,[],[f71]) ).
thf(f71,plain,
! [X2: ( a > $o ) > $o,X1: ( a > $o ) > $o] :
( ( $true
= ( X2 @ ( sK10 @ X2 ) ) )
| ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( X1 @ Y0 ) ) ) )
| ( $false
= ( sK1 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f70]) ).
thf(f87,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f79,f85,f82]) ).
thf(f79,plain,
! [X2: ( a > $o ) > $o,X1: ( a > $o ) > $o] :
( ( $true
= ( X1 @ ( sK12 @ X1 ) ) )
| ( $false
= ( sK1 @ X1 ) )
| ( $true
= ( X2 @ ( sK10 @ X2 ) ) )
| ( $false
= ( sK1 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO244^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 09:55:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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
% 0.14/0.36 % (10175)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 (3000ds/2Mi)
% 0.14/0.37 % (10175)Instruction limit reached!
% 0.14/0.37 % (10175)------------------------------
% 0.14/0.37 % (10175)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (10175)Termination reason: Unknown
% 0.14/0.37 % (10175)Termination phase: Property scanning
% 0.14/0.37
% 0.14/0.37 % (10175)Memory used [KB]: 895
% 0.14/0.37 % (10175)Time elapsed: 0.002 s
% 0.14/0.37 % (10175)Instructions burned: 2 (million)
% 0.14/0.37 % (10175)------------------------------
% 0.14/0.37 % (10175)------------------------------
% 0.14/0.37 % (10171)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.37 % (10176)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 (3000ds/275Mi)
% 0.14/0.37 % (10178)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.14/0.37 % (10177)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.37 % (10172)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 (3000ds/4Mi)
% 0.14/0.37 % (10178)Instruction limit reached!
% 0.14/0.37 % (10178)------------------------------
% 0.14/0.37 % (10178)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (10178)Termination reason: Unknown
% 0.14/0.37 % (10178)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (10178)Memory used [KB]: 5500
% 0.14/0.37 % (10178)Time elapsed: 0.003 s
% 0.14/0.37 % (10178)Instructions burned: 3 (million)
% 0.14/0.37 % (10178)------------------------------
% 0.14/0.37 % (10178)------------------------------
% 0.14/0.37 % (10179)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)
% 0.14/0.37 % (10172)Instruction limit reached!
% 0.14/0.37 % (10172)------------------------------
% 0.14/0.37 % (10172)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (10172)Termination reason: Unknown
% 0.14/0.37 % (10172)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (10172)Memory used [KB]: 5500
% 0.14/0.37 % (10172)Time elapsed: 0.005 s
% 0.14/0.37 % (10172)Instructions burned: 4 (million)
% 0.14/0.37 % (10172)------------------------------
% 0.14/0.37 % (10172)------------------------------
% 0.14/0.38 % (10174)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.38 % (10174)Instruction limit reached!
% 0.14/0.38 % (10174)------------------------------
% 0.14/0.38 % (10174)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (10174)Termination reason: Unknown
% 0.14/0.38 % (10174)Termination phase: Preprocessing 1
% 0.14/0.38
% 0.14/0.38 % (10174)Memory used [KB]: 895
% 0.14/0.38 % (10174)Time elapsed: 0.002 s
% 0.14/0.38 % (10174)Instructions burned: 2 (million)
% 0.14/0.38 % (10174)------------------------------
% 0.14/0.38 % (10174)------------------------------
% 0.14/0.38 % (10177)Instruction limit reached!
% 0.14/0.38 % (10177)------------------------------
% 0.14/0.38 % (10177)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (10177)Termination reason: Unknown
% 0.14/0.38 % (10177)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (10177)Memory used [KB]: 5628
% 0.14/0.38 % (10177)Time elapsed: 0.011 s
% 0.14/0.38 % (10177)Instructions burned: 18 (million)
% 0.14/0.38 % (10177)------------------------------
% 0.14/0.38 % (10177)------------------------------
% 0.14/0.38 % (10179)Instruction limit reached!
% 0.14/0.38 % (10179)------------------------------
% 0.14/0.38 % (10179)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (10179)Termination reason: Unknown
% 0.14/0.38 % (10179)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (10179)Memory used [KB]: 6012
% 0.14/0.38 % (10179)Time elapsed: 0.012 s
% 0.14/0.38 % (10179)Instructions burned: 39 (million)
% 0.14/0.38 % (10179)------------------------------
% 0.14/0.38 % (10179)------------------------------
% 0.14/0.38 % (10173)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 (3000ds/27Mi)
% 0.14/0.39 % (10180)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)
% 0.14/0.39 % (10181)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)
% 0.14/0.39 % (10182)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)
% 0.14/0.39 % (10184)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.39 % (10181)Instruction limit reached!
% 0.14/0.39 % (10181)------------------------------
% 0.14/0.39 % (10181)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (10181)Termination reason: Unknown
% 0.14/0.39 % (10181)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (10181)Memory used [KB]: 5500
% 0.14/0.39 % (10181)Time elapsed: 0.003 s
% 0.14/0.39 % (10181)Instructions burned: 5 (million)
% 0.14/0.39 % (10181)------------------------------
% 0.14/0.39 % (10181)------------------------------
% 0.14/0.40 % (10184)Instruction limit reached!
% 0.14/0.40 % (10184)------------------------------
% 0.14/0.40 % (10184)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (10184)Termination reason: Unknown
% 0.14/0.40 % (10184)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (10184)Memory used [KB]: 1023
% 0.14/0.40 % (10184)Time elapsed: 0.005 s
% 0.14/0.40 % (10184)Instructions burned: 7 (million)
% 0.14/0.40 % (10184)------------------------------
% 0.14/0.40 % (10184)------------------------------
% 0.14/0.40 % (10180)Instruction limit reached!
% 0.14/0.40 % (10180)------------------------------
% 0.14/0.40 % (10180)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (10180)Termination reason: Unknown
% 0.14/0.40 % (10180)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (10180)Memory used [KB]: 5628
% 0.14/0.40 % (10180)Time elapsed: 0.012 s
% 0.14/0.40 % (10180)Instructions burned: 15 (million)
% 0.14/0.40 % (10180)------------------------------
% 0.14/0.40 % (10180)------------------------------
% 0.14/0.40 % (10176)First to succeed.
% 0.14/0.40 % (10186)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)
% 0.14/0.40 % (10173)Instruction limit reached!
% 0.14/0.40 % (10173)------------------------------
% 0.14/0.40 % (10173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (10173)Termination reason: Unknown
% 0.14/0.40 % (10173)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (10173)Memory used [KB]: 5628
% 0.14/0.40 % (10173)Time elapsed: 0.020 s
% 0.14/0.40 % (10173)Instructions burned: 27 (million)
% 0.14/0.40 % (10173)------------------------------
% 0.14/0.40 % (10173)------------------------------
% 0.14/0.40 % (10186)Instruction limit reached!
% 0.14/0.40 % (10186)------------------------------
% 0.14/0.40 % (10186)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (10186)Termination reason: Unknown
% 0.14/0.40 % (10186)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (10186)Memory used [KB]: 5500
% 0.14/0.40 % (10186)Time elapsed: 0.003 s
% 0.14/0.40 % (10186)Instructions burned: 5 (million)
% 0.14/0.40 % (10186)------------------------------
% 0.14/0.40 % (10186)------------------------------
% 0.14/0.41 % (10176)Refutation found. Thanks to Tanya!
% 0.14/0.41 % SZS status Theorem for theBenchmark
% 0.14/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.41 % (10176)------------------------------
% 0.14/0.41 % (10176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (10176)Termination reason: Refutation
% 0.14/0.41
% 0.14/0.41 % (10176)Memory used [KB]: 5884
% 0.14/0.41 % (10176)Time elapsed: 0.036 s
% 0.14/0.41 % (10176)Instructions burned: 54 (million)
% 0.14/0.41 % (10176)------------------------------
% 0.14/0.41 % (10176)------------------------------
% 0.14/0.41 % (10170)Success in time 0.043 s
% 0.14/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------