TSTP Solution File: SEV229^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV229^5 : 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 : n011.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 04:12:28 EDT 2024
% Result : Theorem 0.07s 0.31s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 25
% Syntax : Number of formulae : 132 ( 9 unt; 11 typ; 0 def)
% Number of atoms : 888 ( 196 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 915 ( 98 ~; 205 |; 47 &; 423 @)
% ( 13 <=>; 85 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 22 usr; 21 con; 0-2 aty)
% ( 44 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 104 ( 67 ^ 36 !; 0 ?; 104 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cE: a > $o ).
thf(func_def_2,type,
cD: a > $o ).
thf(func_def_13,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
sK2: a > $o ).
thf(func_def_15,type,
sK3: a ).
thf(func_def_16,type,
sK4: a ).
thf(func_def_17,type,
sK5: a ).
thf(func_def_18,type,
sK6: a ).
thf(func_def_19,type,
sK7: a ).
thf(f213,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f68,f85,f90,f95,f96,f109,f114,f119,f120,f134,f150,f165,f181,f196,f212]) ).
thf(f212,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f211]) ).
thf(f211,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f207]) ).
thf(f207,plain,
( ( $false = $true )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f202,f84]) ).
thf(f84,plain,
( ( ( cD @ sK7 )
= $false )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f82]) ).
thf(f82,plain,
( spl0_6
<=> ( ( cD @ sK7 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f202,plain,
( ( ( cD @ sK7 )
= $true )
| ~ spl0_1
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f200]) ).
thf(f200,plain,
( ( ( cD @ sK7 )
= $true )
| ( $false = $true )
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f61,f89]) ).
thf(f89,plain,
( ( $true
= ( sK2 @ sK7 ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f87]) ).
thf(f87,plain,
( spl0_7
<=> ( $true
= ( sK2 @ sK7 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f61,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( ( cD @ X1 )
= $true ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f60]) ).
thf(f60,plain,
( spl0_1
<=> ! [X1: a] :
( ( ( cD @ X1 )
= $true )
| ( $false
= ( sK2 @ X1 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f196,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f195]) ).
thf(f195,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f192]) ).
thf(f192,plain,
( ( $false = $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f72,f190]) ).
thf(f190,plain,
( ( ( cE @ sK6 )
= $true )
| ~ spl0_2
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f183]) ).
thf(f183,plain,
( ( $false = $true )
| ( ( cE @ sK6 )
= $true )
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f94,f65]) ).
thf(f65,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( ( cE @ X1 )
= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f64]) ).
thf(f64,plain,
( spl0_2
<=> ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( ( cE @ X1 )
= $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f94,plain,
( ( $true
= ( sK2 @ sK6 ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f92]) ).
thf(f92,plain,
( spl0_8
<=> ( $true
= ( sK2 @ sK6 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
thf(f72,plain,
( ( ( cE @ sK6 )
= $false )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f70,plain,
( spl0_3
<=> ( ( cE @ sK6 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f181,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f180]) ).
thf(f180,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f176]) ).
thf(f176,plain,
( ( $false = $true )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f173,f80]) ).
thf(f80,plain,
( ( ( cD @ sK3 )
= $false )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f78]) ).
thf(f78,plain,
( spl0_5
<=> ( ( cD @ sK3 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f173,plain,
( ( ( cD @ sK3 )
= $true )
| ~ spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f167]) ).
thf(f167,plain,
( ( ( cD @ sK3 )
= $true )
| ( $false = $true )
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f100,f61]) ).
thf(f100,plain,
( ( ( sK2 @ sK3 )
= $true )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f98]) ).
thf(f98,plain,
( spl0_9
<=> ( ( sK2 @ sK3 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f165,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f164]) ).
thf(f164,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f160]) ).
thf(f160,plain,
( ( $false = $true )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f158,f104]) ).
thf(f104,plain,
( ( $false
= ( cE @ sK5 ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f102,plain,
( spl0_10
<=> ( $false
= ( cE @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
thf(f158,plain,
( ( $true
= ( cE @ sK5 ) )
| ~ spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f154]) ).
thf(f154,plain,
( ( $false = $true )
| ( $true
= ( cE @ sK5 ) )
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f65,f118]) ).
thf(f118,plain,
( ( ( sK2 @ sK5 )
= $true )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f116]) ).
thf(f116,plain,
( spl0_13
<=> ( ( sK2 @ sK5 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
thf(f150,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f149]) ).
thf(f149,plain,
( $false
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f146]) ).
thf(f146,plain,
( ( $false = $true )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f108,f143]) ).
thf(f143,plain,
( ( ( cD @ sK4 )
= $true )
| ~ spl0_1
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f138]) ).
thf(f138,plain,
( ( $false = $true )
| ( ( cD @ sK4 )
= $true )
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f113,f61]) ).
thf(f113,plain,
( ( ( sK2 @ sK4 )
= $true )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f111]) ).
thf(f111,plain,
( spl0_12
<=> ( ( sK2 @ sK4 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
thf(f108,plain,
( ( ( cD @ sK4 )
= $false )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f106]) ).
thf(f106,plain,
( spl0_11
<=> ( ( cD @ sK4 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
thf(f134,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f133]) ).
thf(f133,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f130]) ).
thf(f130,plain,
( ( $false = $true )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f76,f128]) ).
thf(f128,plain,
( ( $true
= ( cE @ sK3 ) )
| ~ spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f125]) ).
thf(f125,plain,
( ( $true
= ( cE @ sK3 ) )
| ( $false = $true )
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f65,f100]) ).
thf(f76,plain,
( ( $false
= ( cE @ sK3 ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f74]) ).
thf(f74,plain,
( spl0_4
<=> ( $false
= ( cE @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f120,plain,
( spl0_9
| spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f116,f111,f98]) ).
thf(f24,plain,
( ( ( sK2 @ sK5 )
= $true )
| ( ( sK2 @ sK4 )
= $true )
| ( ( sK2 @ sK3 )
= $true ) ),
inference(binary_proxy_clausification,[],[f22]) ).
thf(f22,plain,
( ( ( ( sK2 @ sK4 )
=> ( cD @ sK4 ) )
= $false )
| ( ( sK2 @ sK3 )
= $true )
| ( ( sK2 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f20]) ).
thf(f20,plain,
( ( ( sK2 @ sK3 )
= $true )
| ( ( ( sK2 @ sK5 )
=> ( cE @ sK5 ) )
= $false )
| ( ( ( sK2 @ sK4 )
=> ( cD @ sK4 ) )
= $false ) ),
inference(beta_eta_normalization,[],[f19]) ).
thf(f19,plain,
( ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) )
@ sK5 )
= $false )
| ( ( sK2 @ sK3 )
= $true )
| ( ( ( sK2 @ sK4 )
=> ( cD @ sK4 ) )
= $false ) ),
inference(sigma_clausification,[],[f18]) ).
thf(f18,plain,
( ( ( sK2 @ sK3 )
= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) )
= $false )
| ( ( ( sK2 @ sK4 )
=> ( cD @ sK4 ) )
= $false ) ),
inference(beta_eta_normalization,[],[f17]) ).
thf(f17,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) )
= $false )
| ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) )
@ sK4 )
= $false )
| ( ( sK2 @ sK3 )
= $true ) ),
inference(sigma_clausification,[],[f16]) ).
thf(f16,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) )
= $false )
| ( ( sK2 @ sK3 )
= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f14]) ).
thf(f14,plain,
( ( ( ( sK2 @ sK3 )
=> ( ( cE @ sK3 )
& ( cD @ sK3 ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f13,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) ) ) )
| ( ( ( sK2 @ sK3 )
=> ( ( cE @ sK3 )
& ( cD @ sK3 ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f12]) ).
thf(f12,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) ) ) )
| ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cE @ Y0 )
& ( cD @ Y0 ) ) )
@ sK3 )
= $false ) ),
inference(sigma_clausification,[],[f11]) ).
thf(f11,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cE @ Y0 )
& ( cD @ Y0 ) ) ) )
= $false )
| ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f9,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cE @ Y0 )
& ( cD @ Y0 ) ) ) )
!= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f8]) ).
thf(f8,plain,
( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cE @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cD @ Y1 ) ) ) )
@ sK2 )
!= ( ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ( cE @ Y1 )
& ( cD @ Y1 ) ) ) )
@ sK2 ) ),
inference(negative_extensionality,[],[f7]) ).
thf(f7,plain,
( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cE @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cD @ Y1 ) ) ) ) )
!= ( ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ( cE @ Y1 )
& ( cD @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f6,plain,
( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cE @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cD @ Y1 ) ) ) ) )
!= ( ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ( cE @ Y1 )
& ( cD @ Y1 ) ) ) ) ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cE @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cD @ Y1 ) ) ) ) )
!= ( ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ( cE @ Y1 )
& ( cD @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
( ( ^ [X0: a > $o] :
( ! [X1: a] :
( ( X0 @ X1 )
=> ( cD @ X1 ) )
& ! [X2: a] :
( ( X0 @ X2 )
=> ( cE @ X2 ) ) ) )
!= ( ^ [X3: a > $o] :
! [X4: a] :
( ( X3 @ X4 )
=> ( ( cD @ X4 )
& ( cE @ X4 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
( ( ^ [X1: a > $o] :
( ! [X2: a] :
( ( X1 @ X2 )
=> ( cD @ X2 ) )
& ! [X2: a] :
( ( X1 @ X2 )
=> ( cE @ X2 ) ) ) )
!= ( ^ [X0: a > $o] :
! [X1: a] :
( ( X0 @ X1 )
=> ( ( cD @ X1 )
& ( cE @ X1 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ^ [X1: a > $o] :
( ! [X2: a] :
( ( X1 @ X2 )
=> ( cD @ X2 ) )
& ! [X2: a] :
( ( X1 @ X2 )
=> ( cE @ X2 ) ) ) )
= ( ^ [X0: a > $o] :
! [X1: a] :
( ( X0 @ X1 )
=> ( ( cD @ X1 )
& ( cE @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX5209_pme) ).
thf(f119,plain,
( spl0_11
| spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f23,f98,f116,f106]) ).
thf(f23,plain,
( ( ( cD @ sK4 )
= $false )
| ( ( sK2 @ sK5 )
= $true )
| ( ( sK2 @ sK3 )
= $true ) ),
inference(binary_proxy_clausification,[],[f22]) ).
thf(f114,plain,
( spl0_10
| spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f26,f111,f98,f102]) ).
thf(f26,plain,
( ( ( sK2 @ sK4 )
= $true )
| ( ( sK2 @ sK3 )
= $true )
| ( $false
= ( cE @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f21]) ).
thf(f21,plain,
( ( ( sK2 @ sK3 )
= $true )
| ( ( ( sK2 @ sK4 )
=> ( cD @ sK4 ) )
= $false )
| ( $false
= ( cE @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f20]) ).
thf(f109,plain,
( spl0_9
| spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f25,f106,f102,f98]) ).
thf(f25,plain,
( ( ( cD @ sK4 )
= $false )
| ( ( sK2 @ sK3 )
= $true )
| ( $false
= ( cE @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f21]) ).
thf(f96,plain,
( spl0_4
| spl0_7
| spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f35,f92,f78,f87,f74]) ).
thf(f35,plain,
( ( $true
= ( sK2 @ sK6 ) )
| ( $false
= ( cE @ sK3 ) )
| ( ( cD @ sK3 )
= $false )
| ( $true
= ( sK2 @ sK7 ) ) ),
inference(binary_proxy_clausification,[],[f34]) ).
thf(f34,plain,
( ( $true
= ( sK2 @ sK6 ) )
| ( $true
= ( sK2 @ sK7 ) )
| ( ( ( cE @ sK3 )
& ( cD @ sK3 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f32]) ).
thf(f32,plain,
( ( ( ( sK2 @ sK7 )
=> ( cD @ sK7 ) )
= $false )
| ( ( ( cE @ sK3 )
& ( cD @ sK3 ) )
= $false )
| ( $true
= ( sK2 @ sK6 ) ) ),
inference(binary_proxy_clausification,[],[f30]) ).
thf(f30,plain,
( ( ( ( sK2 @ sK6 )
=> ( cE @ sK6 ) )
= $false )
| ( ( ( cE @ sK3 )
& ( cD @ sK3 ) )
= $false )
| ( ( ( sK2 @ sK7 )
=> ( cD @ sK7 ) )
= $false ) ),
inference(beta_eta_normalization,[],[f29]) ).
thf(f29,plain,
( ( ( ( sK2 @ sK6 )
=> ( cE @ sK6 ) )
= $false )
| ( ( ( cE @ sK3 )
& ( cD @ sK3 ) )
= $false )
| ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) )
@ sK7 )
= $false ) ),
inference(sigma_clausification,[],[f28]) ).
thf(f28,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) )
= $false )
| ( ( ( sK2 @ sK6 )
=> ( cE @ sK6 ) )
= $false )
| ( ( ( cE @ sK3 )
& ( cD @ sK3 ) )
= $false ) ),
inference(beta_eta_normalization,[],[f27]) ).
thf(f27,plain,
( ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) )
@ sK6 )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) )
= $false )
| ( ( ( cE @ sK3 )
& ( cD @ sK3 ) )
= $false ) ),
inference(sigma_clausification,[],[f15]) ).
thf(f15,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) )
= $false )
| ( ( ( cE @ sK3 )
& ( cD @ sK3 ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f14]) ).
thf(f95,plain,
( spl0_5
| spl0_8
| spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f36,f74,f82,f92,f78]) ).
thf(f36,plain,
( ( ( cD @ sK7 )
= $false )
| ( $true
= ( sK2 @ sK6 ) )
| ( ( cD @ sK3 )
= $false )
| ( $false
= ( cE @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f33]) ).
thf(f33,plain,
( ( ( ( cE @ sK3 )
& ( cD @ sK3 ) )
= $false )
| ( $true
= ( sK2 @ sK6 ) )
| ( ( cD @ sK7 )
= $false ) ),
inference(binary_proxy_clausification,[],[f32]) ).
thf(f90,plain,
( spl0_5
| spl0_3
| spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f39,f74,f87,f70,f78]) ).
thf(f39,plain,
( ( ( cE @ sK6 )
= $false )
| ( ( cD @ sK3 )
= $false )
| ( $false
= ( cE @ sK3 ) )
| ( $true
= ( sK2 @ sK7 ) ) ),
inference(binary_proxy_clausification,[],[f37]) ).
thf(f37,plain,
( ( $false
= ( cE @ sK3 ) )
| ( ( cD @ sK3 )
= $false )
| ( ( ( sK2 @ sK7 )
=> ( cD @ sK7 ) )
= $false )
| ( ( cE @ sK6 )
= $false ) ),
inference(binary_proxy_clausification,[],[f31]) ).
thf(f31,plain,
( ( ( cE @ sK6 )
= $false )
| ( ( ( cE @ sK3 )
& ( cD @ sK3 ) )
= $false )
| ( ( ( sK2 @ sK7 )
=> ( cD @ sK7 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f30]) ).
thf(f85,plain,
( spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f38,f82,f78,f74,f70]) ).
thf(f38,plain,
( ( ( cD @ sK3 )
= $false )
| ( ( cE @ sK6 )
= $false )
| ( ( cD @ sK7 )
= $false )
| ( $false
= ( cE @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f37]) ).
thf(f68,plain,
( spl0_2
| spl0_2 ),
inference(avatar_split_clause,[],[f49,f64,f64]) ).
thf(f49,plain,
! [X2: a,X1: a] :
( ( ( cE @ X1 )
= $true )
| ( ( cE @ X2 )
= $true )
| ( $false
= ( sK2 @ X1 ) )
| ( ( sK2 @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[],[f47]) ).
thf(f47,plain,
! [X2: a,X1: a] :
( ( ( sK2 @ X2 )
= $false )
| ( $false
= ( sK2 @ X1 ) )
| ( ( cE @ X2 )
= $true )
| ( ( ( cE @ X1 )
& ( cD @ X1 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f46]) ).
thf(f46,plain,
! [X2: a,X1: a] :
( ( ( cE @ X2 )
= $true )
| ( ( ( sK2 @ X1 )
=> ( ( cE @ X1 )
& ( cD @ X1 ) ) )
= $true )
| ( ( sK2 @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[],[f45]) ).
thf(f45,plain,
! [X2: a,X1: a] :
( ( $true
= ( ( sK2 @ X2 )
=> ( cE @ X2 ) ) )
| ( ( ( sK2 @ X1 )
=> ( ( cE @ X1 )
& ( cD @ X1 ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f44]) ).
thf(f44,plain,
! [X2: a,X1: a] :
( ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) )
@ X2 )
= $true )
| ( ( ( sK2 @ X1 )
=> ( ( cE @ X1 )
& ( cD @ X1 ) ) )
= $true ) ),
inference(pi_clausification,[],[f43]) ).
thf(f43,plain,
! [X1: a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) )
= $true )
| ( ( ( sK2 @ X1 )
=> ( ( cE @ X1 )
& ( cD @ X1 ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f42]) ).
thf(f42,plain,
! [X1: a] :
( ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cE @ Y0 )
& ( cD @ Y0 ) ) )
@ X1 )
= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) )
= $true ) ),
inference(pi_clausification,[],[f41]) ).
thf(f41,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cE @ Y0 )
& ( cD @ Y0 ) ) ) )
= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f10]) ).
thf(f10,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cE @ Y0 )
& ( cD @ Y0 ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f62,plain,
( spl0_1
| spl0_1 ),
inference(avatar_split_clause,[],[f58,f60,f60]) ).
thf(f58,plain,
! [X2: a,X1: a] :
( ( ( cD @ X2 )
= $true )
| ( ( sK2 @ X2 )
= $false )
| ( ( cD @ X1 )
= $true )
| ( $false
= ( sK2 @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f55]) ).
thf(f55,plain,
! [X2: a,X1: a] :
( ( ( ( sK2 @ X2 )
=> ( cD @ X2 ) )
= $true )
| ( $false
= ( sK2 @ X1 ) )
| ( ( cD @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[],[f54]) ).
thf(f54,plain,
! [X2: a,X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( ( ( cE @ X1 )
& ( cD @ X1 ) )
= $true )
| ( ( ( sK2 @ X2 )
=> ( cD @ X2 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f53]) ).
thf(f53,plain,
! [X2: a,X1: a] :
( ( ( ( cE @ X1 )
& ( cD @ X1 ) )
= $true )
| ( $false
= ( sK2 @ X1 ) )
| ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) )
@ X2 )
= $true ) ),
inference(pi_clausification,[],[f52]) ).
thf(f52,plain,
! [X1: a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) )
= $true )
| ( $false
= ( sK2 @ X1 ) )
| ( ( ( cE @ X1 )
& ( cD @ X1 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f51]) ).
thf(f51,plain,
! [X1: a] :
( ( ( ( sK2 @ X1 )
=> ( ( cE @ X1 )
& ( cD @ X1 ) ) )
= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f50]) ).
thf(f50,plain,
! [X1: a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) )
= $true )
| ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cE @ Y0 )
& ( cD @ Y0 ) ) )
@ X1 )
= $true ) ),
inference(pi_clausification,[],[f40]) ).
thf(f40,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cE @ Y0 )
& ( cD @ Y0 ) ) ) )
= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SEV229^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.08 % 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
% 0.07/0.27 % Computer : n011.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Sun May 19 19:01:08 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.07/0.27 This is a TH0_THM_EQU_NAR problem
% 0.07/0.27 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
% 0.07/0.29 % (12118)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)
% 0.07/0.29 % (12119)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.07/0.29 % (12117)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)
% 0.07/0.29 % (12113)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.07/0.29 % (12116)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.07/0.29 % (12115)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)
% 0.07/0.29 % (12114)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)
% 0.07/0.29 % (12120)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)
% 0.07/0.29 % (12116)Instruction limit reached!
% 0.07/0.29 % (12116)------------------------------
% 0.07/0.29 % (12116)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.07/0.29 % (12117)Instruction limit reached!
% 0.07/0.29 % (12117)------------------------------
% 0.07/0.29 % (12117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.07/0.29 % (12116)Termination reason: Unknown
% 0.07/0.29 % (12116)Termination phase: Saturation
% 0.07/0.29
% 0.07/0.29 % (12116)Memory used [KB]: 5373
% 0.07/0.29 % (12116)Time elapsed: 0.004 s
% 0.07/0.29 % (12116)Instructions burned: 2 (million)
% 0.07/0.29 % (12116)------------------------------
% 0.07/0.29 % (12116)------------------------------
% 0.07/0.29 % (12117)Termination reason: Unknown
% 0.07/0.29 % (12117)Termination phase: Saturation
% 0.07/0.29
% 0.07/0.29 % (12117)Memory used [KB]: 5373
% 0.07/0.29 % (12117)Time elapsed: 0.004 s
% 0.07/0.29 % (12117)Instructions burned: 2 (million)
% 0.07/0.29 % (12117)------------------------------
% 0.07/0.29 % (12117)------------------------------
% 0.07/0.29 % (12120)Refutation not found, incomplete strategy
% 0.07/0.29 % (12120)------------------------------
% 0.07/0.29 % (12120)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.07/0.29 % (12120)Termination reason: Refutation not found, incomplete strategy
% 0.07/0.29
% 0.07/0.29
% 0.07/0.29 % (12120)Memory used [KB]: 5500
% 0.07/0.29 % (12120)Time elapsed: 0.005 s
% 0.07/0.29 % (12120)Instructions burned: 2 (million)
% 0.07/0.29 % (12120)------------------------------
% 0.07/0.29 % (12120)------------------------------
% 0.07/0.29 % (12114)Instruction limit reached!
% 0.07/0.29 % (12114)------------------------------
% 0.07/0.29 % (12114)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.07/0.29 % (12114)Termination reason: Unknown
% 0.07/0.29 % (12114)Termination phase: Saturation
% 0.07/0.29
% 0.07/0.29 % (12114)Memory used [KB]: 5500
% 0.07/0.29 % (12114)Time elapsed: 0.007 s
% 0.07/0.29 % (12114)Instructions burned: 4 (million)
% 0.07/0.29 % (12114)------------------------------
% 0.07/0.29 % (12114)------------------------------
% 0.07/0.30 % (12113)First to succeed.
% 0.07/0.30 % (12115)Also succeeded, but the first one will report.
% 0.07/0.30 % (12118)Also succeeded, but the first one will report.
% 0.07/0.31 % (12113)Refutation found. Thanks to Tanya!
% 0.07/0.31 % SZS status Theorem for theBenchmark
% 0.07/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.31 % (12113)------------------------------
% 0.11/0.31 % (12113)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.31 % (12113)Termination reason: Refutation
% 0.11/0.31
% 0.11/0.31 % (12113)Memory used [KB]: 5628
% 0.11/0.31 % (12113)Time elapsed: 0.018 s
% 0.11/0.31 % (12113)Instructions burned: 9 (million)
% 0.11/0.31 % (12113)------------------------------
% 0.11/0.31 % (12113)------------------------------
% 0.11/0.31 % (12112)Success in time 0.019 s
% 0.11/0.31 % Vampire---4.8 exiting
%------------------------------------------------------------------------------