TSTP Solution File: SYO016^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO016^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 09:02:14 EDT 2024
% Result : Theorem 0.11s 0.37s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 24
% Syntax : Number of formulae : 116 ( 15 unt; 11 typ; 0 def)
% Number of atoms : 762 ( 116 equ; 0 cnn)
% Maximal formula atoms : 9 ( 7 avg)
% Number of connectives : 668 ( 121 ~; 151 |; 0 &; 333 @)
% ( 11 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 66 ( 66 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 22 usr; 14 con; 0-2 aty)
% ( 20 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 52 ( 41 ^ 10 !; 0 ?; 52 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
leibeq: $o > $o > $o ).
thf(func_def_2,type,
h: $o > $o ).
thf(func_def_12,type,
sK1: $o > $o ).
thf(func_def_14,type,
ph2:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
sK3: $o > $o ).
thf(func_def_17,type,
sK4: $o > $o ).
thf(func_def_18,type,
sK5: $o > $o ).
thf(func_def_19,type,
sK6: $o > $o ).
thf(func_def_20,type,
sK7: $o > $o ).
thf(func_def_21,type,
sK8: $o > $o ).
thf(func_def_22,type,
sK9: $o > $o ).
thf(f521,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f58,f75,f81,f161,f189,f191,f207,f301,f307,f361,f366,f384,f520]) ).
thf(f520,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f519]) ).
thf(f519,plain,
( $false
| spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f480,f187]) ).
thf(f187,plain,
( ( $false
= ( h @ $true ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f185]) ).
thf(f185,plain,
( spl0_12
<=> ( $false
= ( h @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
thf(f480,plain,
( ( $false
!= ( h @ $true ) )
| spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f477]) ).
thf(f477,plain,
( ( $false = $true )
| ( $false
!= ( h @ $true ) )
| spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(constrained_superposition,[],[f468,f365]) ).
thf(f365,plain,
( ( $true
= ( sK5 @ ( h @ $true ) ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f363]) ).
thf(f363,plain,
( spl0_14
<=> ( $true
= ( sK5 @ ( h @ $true ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
thf(f468,plain,
( ( $false
= ( sK5 @ $false ) )
| spl0_2
| ~ spl0_6
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f464,f32]) ).
thf(f32,plain,
( ( $true
!= ( h @ $false ) )
| spl0_2 ),
inference(avatar_component_clause,[],[f31]) ).
thf(f31,plain,
( spl0_2
<=> ( $true
= ( h @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f464,plain,
( ( $false
= ( sK5 @ $false ) )
| ( $true
= ( h @ $false ) )
| ~ spl0_6
| ~ spl0_13 ),
inference(beta_eta_normalization,[],[f463]) ).
thf(f463,plain,
( ( ( ^ [Y0: $o] :
( h
@ ( ^ [Y1: $o] : $false
@ Y0 ) )
@ ( h @ $false ) )
= $true )
| ( $false
= ( sK5 @ $false ) )
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f360,f57]) ).
thf(f57,plain,
( ! [X1: $o > $o] :
( ( $false
= ( X1 @ ( h @ $true ) ) )
| ( ( X1 @ ( h @ $false ) )
= $true ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f56]) ).
thf(f56,plain,
( spl0_6
<=> ! [X1: $o > $o] :
( ( $false
= ( X1 @ ( h @ $true ) ) )
| ( ( X1 @ ( h @ $false ) )
= $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f360,plain,
( ( $false
= ( sK5 @ ( h @ $false ) ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f358]) ).
thf(f358,plain,
( spl0_13
<=> ( $false
= ( sK5 @ ( h @ $false ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
thf(f384,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f383]) ).
thf(f383,plain,
( $false
| spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f367]) ).
thf(f367,plain,
( ( $false = $true )
| spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f151,f305]) ).
thf(f305,plain,
( ( ( sK1 @ $false )
= $false )
| spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f129,f32]) ).
thf(f129,plain,
( ( $true
= ( h @ $false ) )
| ( ( sK1 @ $false )
= $false )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f98]) ).
thf(f98,plain,
( ( ( ^ [Y0: $o] :
( h
@ ( ^ [Y1: $o] : $false
@ Y0 ) )
@ ( h @ $false ) )
= $true )
| ( ( sK1 @ $false )
= $false )
| ~ spl0_6 ),
inference(superposition,[],[f16,f57]) ).
thf(f16,plain,
( $false
= ( sK1 @ ( h @ $false ) ) ),
inference(binary_proxy_clausification,[],[f15]) ).
thf(f15,plain,
( $false
= ( ( sK1
@ ( h
@ ( !! @ ( $o > $o )
@ ^ [Y0: $o > $o] :
( ( Y0 @ ( h @ $true ) )
=> ( Y0 @ ( h @ $false ) ) ) ) ) )
=> ( sK1 @ ( h @ $false ) ) ) ),
inference(beta_eta_normalization,[],[f14]) ).
thf(f14,plain,
( $false
= ( ^ [Y0: $o > $o] :
( ( Y0
@ ( h
@ ( !! @ ( $o > $o )
@ ^ [Y1: $o > $o] :
( ( Y1 @ ( h @ $true ) )
=> ( Y1 @ ( h @ $false ) ) ) ) ) )
=> ( Y0 @ ( h @ $false ) ) )
@ sK1 ) ),
inference(sigma_clausification,[],[f13]) ).
thf(f13,plain,
( $true
!= ( !! @ ( $o > $o )
@ ^ [Y0: $o > $o] :
( ( Y0
@ ( h
@ ( !! @ ( $o > $o )
@ ^ [Y1: $o > $o] :
( ( Y1 @ ( h @ $true ) )
=> ( Y1 @ ( h @ $false ) ) ) ) ) )
=> ( Y0 @ ( h @ $false ) ) ) ) ),
inference(beta_eta_normalization,[],[f12]) ).
thf(f12,plain,
( ( ^ [Y0: $o,Y1: $o] :
( !! @ ( $o > $o )
@ ^ [Y2: $o > $o] :
( ( Y2 @ Y0 )
=> ( Y2 @ Y1 ) ) )
@ ( h
@ ( ^ [Y0: $o,Y1: $o] :
( !! @ ( $o > $o )
@ ^ [Y2: $o > $o] :
( ( Y2 @ Y0 )
=> ( Y2 @ Y1 ) ) )
@ ( h @ $true )
@ ( h @ $false ) ) )
@ ( h @ $false ) )
!= $true ),
inference(definition_unfolding,[],[f11,f10,f10]) ).
thf(f10,plain,
( leibeq
= ( ^ [Y0: $o,Y1: $o] :
( !! @ ( $o > $o )
@ ^ [Y2: $o > $o] :
( ( Y2 @ Y0 )
=> ( Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f6,plain,
( leibeq
= ( ^ [Y0: $o,Y1: $o] :
( !! @ ( $o > $o )
@ ^ [Y2: $o > $o] :
( ( Y2 @ Y0 )
=> ( Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
( leibeq
= ( ^ [X0: $o,X1: $o] :
! [X2: $o > $o] :
( ( X2 @ X0 )
=> ( X2 @ X1 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( leibeq
= ( ^ [X0: $o,X1: $o] :
! [X2: $o > $o] :
( ( X2 @ X0 )
=> ( X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leibeq) ).
thf(f11,plain,
( $true
!= ( leibeq @ ( h @ ( leibeq @ ( h @ $true ) @ ( h @ $false ) ) ) @ ( h @ $false ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
( $true
!= ( leibeq @ ( h @ ( leibeq @ ( h @ $true ) @ ( h @ $false ) ) ) @ ( h @ $false ) ) ),
inference(flattening,[],[f8]) ).
thf(f8,plain,
( $true
!= ( leibeq @ ( h @ ( leibeq @ ( h @ $true ) @ ( h @ $false ) ) ) @ ( h @ $false ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
~ ( leibeq @ ( h @ ( leibeq @ ( h @ $true ) @ ( h @ $false ) ) ) @ ( h @ $false ) ),
inference(rectify,[],[f3]) ).
thf(f3,negated_conjecture,
~ ( leibeq @ ( h @ ( leibeq @ ( h @ $true ) @ ( h @ $false ) ) ) @ ( h @ $false ) ),
inference(negated_conjecture,[],[f2]) ).
thf(f2,conjecture,
leibeq @ ( h @ ( leibeq @ ( h @ $true ) @ ( h @ $false ) ) ) @ ( h @ $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f151,plain,
( ( ( sK1 @ $false )
= $true )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f149]) ).
thf(f149,plain,
( spl0_9
<=> ( ( sK1 @ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f366,plain,
( spl0_14
| spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f355,f185,f149,f363]) ).
thf(f355,plain,
( ( $true
= ( sK5 @ ( h @ $true ) ) )
| ( ( sK1 @ $false )
= $true )
| ~ spl0_12 ),
inference(binary_proxy_clausification,[],[f353]) ).
thf(f353,plain,
( ( $false
= ( ( sK5 @ ( h @ $true ) )
=> ( sK5 @ ( h @ $false ) ) ) )
| ( ( sK1 @ $false )
= $true )
| ~ spl0_12 ),
inference(beta_eta_normalization,[],[f352]) ).
thf(f352,plain,
( ( ( ^ [Y0: $o > $o] :
( ( Y0 @ ( h @ $true ) )
=> ( Y0 @ ( h @ $false ) ) )
@ sK5 )
= $false )
| ( ( sK1 @ $false )
= $true )
| ~ spl0_12 ),
inference(sigma_clausification,[],[f348]) ).
thf(f348,plain,
( ( $true
!= ( !! @ ( $o > $o )
@ ^ [Y0: $o > $o] :
( ( Y0 @ ( h @ $true ) )
=> ( Y0 @ ( h @ $false ) ) ) ) )
| ( ( sK1 @ $false )
= $true )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f17,f187]) ).
thf(f17,plain,
( $true
= ( sK1
@ ( h
@ ( !! @ ( $o > $o )
@ ^ [Y0: $o > $o] :
( ( Y0 @ ( h @ $true ) )
=> ( Y0 @ ( h @ $false ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f15]) ).
thf(f361,plain,
( spl0_13
| spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f354,f185,f149,f358]) ).
thf(f354,plain,
( ( $false
= ( sK5 @ ( h @ $false ) ) )
| ( ( sK1 @ $false )
= $true )
| ~ spl0_12 ),
inference(binary_proxy_clausification,[],[f353]) ).
thf(f307,plain,
( ~ spl0_1
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f306]) ).
thf(f306,plain,
( $false
| ~ spl0_1
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f225,f29]) ).
thf(f29,plain,
( ( $true
= ( h
@ ( !! @ ( $o > $o )
@ ^ [Y0: $o > $o] :
( ( Y0 @ ( h @ $true ) )
=> ( Y0 @ ( h @ $false ) ) ) ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
thf(f27,plain,
( spl0_1
<=> ( $true
= ( h
@ ( !! @ ( $o > $o )
@ ^ [Y0: $o > $o] :
( ( Y0 @ ( h @ $true ) )
=> ( Y0 @ ( h @ $false ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f225,plain,
( ( $true
!= ( h
@ ( !! @ ( $o > $o )
@ ^ [Y0: $o > $o] :
( ( Y0 @ ( h @ $true ) )
=> ( Y0 @ ( h @ $false ) ) ) ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f224]) ).
thf(f224,plain,
( ( $false = $true )
| ( $true
!= ( h
@ ( !! @ ( $o > $o )
@ ^ [Y0: $o > $o] :
( ( Y0 @ ( h @ $true ) )
=> ( Y0 @ ( h @ $false ) ) ) ) ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f17,f74]) ).
thf(f74,plain,
( ( $false
= ( sK1 @ $true ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f72]) ).
thf(f72,plain,
( spl0_7
<=> ( $false
= ( sK1 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f301,plain,
( ~ spl0_2
| spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f300]) ).
thf(f300,plain,
( $false
| ~ spl0_2
| spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f291,f156]) ).
thf(f156,plain,
( ( ( h @ $true )
= $true )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f154]) ).
thf(f154,plain,
( spl0_10
<=> ( ( h @ $true )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
thf(f291,plain,
( ( ( h @ $true )
!= $true )
| ~ spl0_2
| spl0_5
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f279]) ).
thf(f279,plain,
( ( $false = $true )
| ( ( h @ $true )
!= $true )
| ~ spl0_2
| spl0_5
| ~ spl0_10 ),
inference(constrained_superposition,[],[f248,f246]) ).
thf(f246,plain,
( ( ( sK3 @ ( h @ $true ) )
= $true )
| spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f242,f53]) ).
thf(f53,plain,
( ( $true
!= ( sK1 @ $true ) )
| spl0_5 ),
inference(avatar_component_clause,[],[f52]) ).
thf(f52,plain,
( spl0_5
<=> ( $true
= ( sK1 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f242,plain,
( ( ( sK3 @ ( h @ $true ) )
= $true )
| ( $true
= ( sK1 @ $true ) )
| ~ spl0_10 ),
inference(binary_proxy_clausification,[],[f240]) ).
thf(f240,plain,
( ( $false
= ( ( sK3 @ ( h @ $true ) )
=> ( sK3 @ ( h @ $false ) ) ) )
| ( $true
= ( sK1 @ $true ) )
| ~ spl0_10 ),
inference(beta_eta_normalization,[],[f239]) ).
thf(f239,plain,
( ( ( ^ [Y0: $o > $o] :
( ( Y0 @ ( h @ $true ) )
=> ( Y0 @ ( h @ $false ) ) )
@ sK3 )
= $false )
| ( $true
= ( sK1 @ $true ) )
| ~ spl0_10 ),
inference(sigma_clausification,[],[f232]) ).
thf(f232,plain,
( ( $true
= ( sK1 @ $true ) )
| ( $true
!= ( !! @ ( $o > $o )
@ ^ [Y0: $o > $o] :
( ( Y0 @ ( h @ $true ) )
=> ( Y0 @ ( h @ $false ) ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f17,f156]) ).
thf(f248,plain,
( ( $false
= ( sK3 @ $true ) )
| ~ spl0_2
| spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f245,f33]) ).
thf(f33,plain,
( ( $true
= ( h @ $false ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f31]) ).
thf(f245,plain,
( ( ( sK3 @ ( h @ $false ) )
= $false )
| spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f241,f53]) ).
thf(f241,plain,
( ( ( sK3 @ ( h @ $false ) )
= $false )
| ( $true
= ( sK1 @ $true ) )
| ~ spl0_10 ),
inference(binary_proxy_clausification,[],[f240]) ).
thf(f207,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f206]) ).
thf(f206,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f194]) ).
thf(f194,plain,
( ( $false = $true )
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f42,f33]) ).
thf(f42,plain,
( ( $false
= ( h @ $false ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f40]) ).
thf(f40,plain,
( spl0_4
<=> ( $false
= ( h @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f191,plain,
( spl0_12
| spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f138,f56,f31,f185]) ).
thf(f138,plain,
( ( $true
= ( h @ $false ) )
| ( $false
= ( h @ $true ) )
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f86]) ).
thf(f86,plain,
( ( ( h @ $true )
= ( h @ $false ) )
| ~ spl0_6 ),
inference(leibniz_equality_elimination,[],[f57]) ).
thf(f189,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f84,f52,f31]) ).
thf(f84,plain,
( ( $true
!= ( h @ $false ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f82]) ).
thf(f82,plain,
( ( $true
!= ( h @ $false ) )
| ( $false = $true )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f54,f16]) ).
thf(f54,plain,
( ( $true
= ( sK1 @ $true ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f52]) ).
thf(f161,plain,
( spl0_10
| spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f106,f56,f40,f154]) ).
thf(f106,plain,
( ( ( h @ $true )
= $true )
| ( $false
= ( h @ $false ) )
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f87]) ).
thf(f87,plain,
( ( ( h @ $true )
= ( h @ $false ) )
| ~ spl0_6 ),
inference(leibniz_equality_elimination,[],[f57]) ).
thf(f81,plain,
( spl0_7
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f77,f31,f72]) ).
thf(f77,plain,
( ( $false
= ( sK1 @ $true ) )
| ~ spl0_2 ),
inference(superposition,[],[f16,f33]) ).
thf(f75,plain,
( spl0_7
| spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f64,f27,f56,f72]) ).
thf(f64,plain,
( ! [X1: $o > $o] :
( ( $false
= ( X1 @ ( h @ $true ) ) )
| ( ( X1 @ ( h @ $false ) )
= $true )
| ( $false
= ( sK1 @ $true ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f63]) ).
thf(f63,plain,
( ! [X1: $o > $o] :
( ( $false
= ( sK1 @ $true ) )
| ( ( ( X1 @ ( h @ $true ) )
=> ( X1 @ ( h @ $false ) ) )
= $true ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f62]) ).
thf(f62,plain,
( ! [X1: $o > $o] :
( ( $false
= ( sK1 @ $true ) )
| ( ( ^ [Y0: $o > $o] :
( ( Y0 @ ( h @ $true ) )
=> ( Y0 @ ( h @ $false ) ) )
@ X1 )
= $true ) )
| ~ spl0_1 ),
inference(pi_clausification,[],[f61]) ).
thf(f61,plain,
( ( $false
= ( sK1 @ $true ) )
| ( $false
!= ( !! @ ( $o > $o )
@ ^ [Y0: $o > $o] :
( ( Y0 @ ( h @ $true ) )
=> ( Y0 @ ( h @ $false ) ) ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f16,f29]) ).
thf(f58,plain,
( spl0_5
| spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f50,f31,f56,f52]) ).
thf(f50,plain,
( ! [X1: $o > $o] :
( ( $true
= ( sK1 @ $true ) )
| ( $false
= ( X1 @ ( h @ $true ) ) )
| ( ( X1 @ ( h @ $false ) )
= $true ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f49]) ).
thf(f49,plain,
( ! [X1: $o > $o] :
( ( $true
= ( sK1 @ $true ) )
| ( ( ( X1 @ ( h @ $true ) )
=> ( X1 @ ( h @ $false ) ) )
= $true ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f48]) ).
thf(f48,plain,
( ! [X1: $o > $o] :
( ( $true
= ( sK1 @ $true ) )
| ( ( ^ [Y0: $o > $o] :
( ( Y0 @ ( h @ $true ) )
=> ( Y0 @ ( h @ $false ) ) )
@ X1 )
= $true ) )
| ~ spl0_2 ),
inference(pi_clausification,[],[f46]) ).
thf(f46,plain,
( ( $true
= ( sK1 @ $true ) )
| ( $false
!= ( !! @ ( $o > $o )
@ ^ [Y0: $o > $o] :
( ( Y0 @ ( h @ $true ) )
=> ( Y0 @ ( h @ $false ) ) ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f17,f33]) ).
thf(f44,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f21,f27,f31]) ).
thf(f21,plain,
( ( $true
= ( h
@ ( !! @ ( $o > $o )
@ ^ [Y0: $o > $o] :
( ( Y0 @ ( h @ $true ) )
=> ( Y0 @ ( h @ $false ) ) ) ) ) )
| ( $true
= ( h @ $false ) ) ),
inference(binary_proxy_clausification,[],[f20]) ).
thf(f20,plain,
( ( h
@ ( !! @ ( $o > $o )
@ ^ [Y0: $o > $o] :
( ( Y0 @ ( h @ $true ) )
=> ( Y0 @ ( h @ $false ) ) ) ) )
!= ( h @ $false ) ),
inference(trivial_inequality_removal,[],[f18]) ).
thf(f18,plain,
( ( $false = $true )
| ( ( h
@ ( !! @ ( $o > $o )
@ ^ [Y0: $o > $o] :
( ( Y0 @ ( h @ $true ) )
=> ( Y0 @ ( h @ $false ) ) ) ) )
!= ( h @ $false ) ) ),
inference(constrained_superposition,[],[f17,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SYO016^1 : TPTP v8.2.0. Released v3.7.0.
% 0.09/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.33 % Computer : n016.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon May 20 09:51:37 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a TH0_THM_EQU_NAR problem
% 0.11/0.33 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/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % (16565)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)
% 0.11/0.35 % (16563)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)
% 0.11/0.35 % (16564)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.11/0.35 % (16566)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)
% 0.11/0.35 % (16567)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.11/0.35 % (16568)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)
% 0.11/0.35 % (16562)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)
% 0.11/0.35 % (16564)Instruction limit reached!
% 0.11/0.35 % (16564)------------------------------
% 0.11/0.35 % (16564)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (16564)Termination reason: Unknown
% 0.11/0.35 % (16566)Refutation not found, incomplete strategy
% 0.11/0.35 % (16566)------------------------------
% 0.11/0.35 % (16566)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (16564)Termination phase: Saturation
% 0.11/0.35 % (16565)Instruction limit reached!
% 0.11/0.35 % (16565)------------------------------
% 0.11/0.35 % (16565)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35
% 0.11/0.35 % (16565)Termination reason: Unknown
% 0.11/0.35 % (16565)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (16564)Memory used [KB]: 5373
% 0.11/0.35 % (16564)Time elapsed: 0.003 s
% 0.11/0.35 % (16565)Memory used [KB]: 5500
% 0.11/0.35 % (16564)Instructions burned: 2 (million)
% 0.11/0.35 % (16565)Time elapsed: 0.003 s
% 0.11/0.35 % (16564)------------------------------
% 0.11/0.35 % (16564)------------------------------
% 0.11/0.35 % (16565)Instructions burned: 2 (million)
% 0.11/0.35 % (16565)------------------------------
% 0.11/0.35 % (16565)------------------------------
% 0.11/0.35 % (16566)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.35
% 0.11/0.35
% 0.11/0.35 % (16566)Memory used [KB]: 5373
% 0.11/0.35 % (16568)Refutation not found, incomplete strategy
% 0.11/0.35 % (16568)------------------------------
% 0.11/0.35 % (16568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (16568)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.35
% 0.11/0.35
% 0.11/0.35 % (16568)Memory used [KB]: 5500
% 0.11/0.35 % (16568)Time elapsed: 0.002 s
% 0.11/0.35 % (16568)Instructions burned: 1 (million)
% 0.11/0.35 % (16568)------------------------------
% 0.11/0.35 % (16568)------------------------------
% 0.11/0.35 % (16566)Time elapsed: 0.003 s
% 0.11/0.35 % (16566)Instructions burned: 1 (million)
% 0.11/0.35 % (16566)------------------------------
% 0.11/0.35 % (16566)------------------------------
% 0.11/0.35 % (16563)Refutation not found, incomplete strategy
% 0.11/0.35 % (16563)------------------------------
% 0.11/0.35 % (16563)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (16563)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.35
% 0.11/0.35
% 0.11/0.35 % (16563)Memory used [KB]: 5500
% 0.11/0.35 % (16563)Time elapsed: 0.003 s
% 0.11/0.35 % (16563)Instructions burned: 2 (million)
% 0.11/0.35 % (16563)------------------------------
% 0.11/0.35 % (16563)------------------------------
% 0.11/0.35 % (16561)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.11/0.35 % (16562)Instruction limit reached!
% 0.11/0.35 % (16562)------------------------------
% 0.11/0.35 % (16562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (16562)Termination reason: Unknown
% 0.11/0.35 % (16562)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (16562)Memory used [KB]: 5500
% 0.11/0.35 % (16562)Time elapsed: 0.004 s
% 0.11/0.35 % (16562)Instructions burned: 4 (million)
% 0.11/0.35 % (16562)------------------------------
% 0.11/0.35 % (16562)------------------------------
% 0.11/0.36 % (16567)Instruction limit reached!
% 0.11/0.36 % (16567)------------------------------
% 0.11/0.36 % (16567)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (16567)Termination reason: Unknown
% 0.11/0.36 % (16567)Termination phase: Saturation
% 0.11/0.36
% 0.11/0.36 % (16567)Memory used [KB]: 5628
% 0.11/0.36 % (16567)Time elapsed: 0.012 s
% 0.11/0.36 % (16567)Instructions burned: 18 (million)
% 0.11/0.36 % (16567)------------------------------
% 0.11/0.36 % (16567)------------------------------
% 0.11/0.36 % (16569)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)
% 0.11/0.36 % (16570)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)
% 0.11/0.36 % (16571)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)
% 0.11/0.36 % (16573)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.11/0.36 % (16571)Refutation not found, incomplete strategy
% 0.11/0.36 % (16571)------------------------------
% 0.11/0.36 % (16571)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (16571)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.36
% 0.11/0.36
% 0.11/0.36 % (16571)Memory used [KB]: 5373
% 0.11/0.36 % (16571)Time elapsed: 0.002 s
% 0.11/0.36 % (16571)Instructions burned: 1 (million)
% 0.11/0.36 % (16571)------------------------------
% 0.11/0.36 % (16571)------------------------------
% 0.11/0.36 % (16574)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.11/0.36 % (16572)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)
% 0.11/0.36 % (16570)Refutation not found, incomplete strategy
% 0.11/0.36 % (16570)------------------------------
% 0.11/0.36 % (16570)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (16570)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.36
% 0.11/0.36
% 0.11/0.36 % (16570)Memory used [KB]: 5500
% 0.11/0.36 % (16570)Time elapsed: 0.004 s
% 0.11/0.36 % (16570)Instructions burned: 4 (million)
% 0.11/0.36 % (16570)------------------------------
% 0.11/0.36 % (16570)------------------------------
% 0.11/0.36 % (16573)Instruction limit reached!
% 0.11/0.36 % (16573)------------------------------
% 0.11/0.36 % (16573)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (16572)Refutation not found, incomplete strategy
% 0.11/0.36 % (16572)------------------------------
% 0.11/0.36 % (16572)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (16572)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.36
% 0.11/0.36
% 0.11/0.36 % (16572)Memory used [KB]: 5500
% 0.11/0.36 % (16572)Time elapsed: 0.003 s
% 0.11/0.36 % (16572)Instructions burned: 2 (million)
% 0.11/0.36 % (16572)------------------------------
% 0.11/0.36 % (16572)------------------------------
% 0.11/0.36 % (16573)Termination reason: Unknown
% 0.11/0.36 % (16573)Termination phase: Saturation
% 0.11/0.36
% 0.11/0.36 % (16573)Memory used [KB]: 1023
% 0.11/0.36 % (16573)Time elapsed: 0.006 s
% 0.11/0.36 % (16573)Instructions burned: 8 (million)
% 0.11/0.36 % (16573)------------------------------
% 0.11/0.36 % (16573)------------------------------
% 0.11/0.37 % (16561)First to succeed.
% 0.11/0.37 % (16574)Instruction limit reached!
% 0.11/0.37 % (16574)------------------------------
% 0.11/0.37 % (16574)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (16574)Termination reason: Unknown
% 0.11/0.37 % (16574)Termination phase: Saturation
% 0.11/0.37
% 0.11/0.37 % (16574)Memory used [KB]: 5756
% 0.11/0.37 % (16574)Time elapsed: 0.011 s
% 0.11/0.37 % (16574)Instructions burned: 17 (million)
% 0.11/0.37 % (16574)------------------------------
% 0.11/0.37 % (16574)------------------------------
% 0.11/0.37 % (16561)Refutation found. Thanks to Tanya!
% 0.11/0.37 % SZS status Theorem for theBenchmark
% 0.11/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.38 % (16561)------------------------------
% 0.11/0.38 % (16561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38 % (16561)Termination reason: Refutation
% 0.11/0.38
% 0.11/0.38 % (16561)Memory used [KB]: 5884
% 0.11/0.38 % (16561)Time elapsed: 0.028 s
% 0.11/0.38 % (16561)Instructions burned: 34 (million)
% 0.11/0.38 % (16561)------------------------------
% 0.11/0.38 % (16561)------------------------------
% 0.11/0.38 % (16560)Success in time 0.037 s
% 0.11/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------