TSTP Solution File: SEV229^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV229^5 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n023.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 : Sun May 5 09:41:50 EDT 2024
% Result : Theorem 0.16s 0.40s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 108 ( 9 unt; 9 typ; 0 def)
% Number of atoms : 760 ( 168 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 795 ( 68 ~; 167 |; 49 &; 383 @)
% ( 9 <=>; 81 =>; 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 : 20 ( 16 usr; 15 con; 0-2 aty)
% ( 38 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 96 ( 59 ^ 36 !; 0 ?; 96 :)
% ( 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(f169,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f64,f81,f86,f91,f92,f97,f98,f99,f100,f114,f140,f154,f168]) ).
thf(f168,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f167]) ).
thf(f167,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f166]) ).
thf(f166,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f159,f68]) ).
thf(f68,plain,
( ( ( cD @ sK3 )
= $false )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f66]) ).
thf(f66,plain,
( spl0_3
<=> ( ( cD @ sK3 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f159,plain,
( ( ( cD @ sK3 )
= $true )
| ~ spl0_2
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f157]) ).
thf(f157,plain,
( ( ( cD @ sK3 )
= $true )
| ( $true = $false )
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f61,f85]) ).
thf(f85,plain,
( ( $true
= ( sK2 @ sK3 ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f83]) ).
thf(f83,plain,
( spl0_7
<=> ( $true
= ( sK2 @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f61,plain,
( ! [X1: a] :
( ( ( sK2 @ X1 )
= $false )
| ( ( cD @ X1 )
= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f60]) ).
thf(f60,plain,
( spl0_2
<=> ! [X1: a] :
( ( ( cD @ X1 )
= $true )
| ( ( sK2 @ X1 )
= $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f154,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f153]) ).
thf(f153,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f152]) ).
thf(f152,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f145,f72]) ).
thf(f72,plain,
( ( ( cE @ sK5 )
= $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f70,plain,
( spl0_4
<=> ( ( cE @ sK5 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f145,plain,
( ( $true
= ( cE @ sK5 ) )
| ~ spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f142]) ).
thf(f142,plain,
( ( $true
= ( cE @ sK5 ) )
| ( $true = $false )
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f96,f57]) ).
thf(f57,plain,
( ! [X1: a] :
( ( ( sK2 @ X1 )
= $false )
| ( ( cE @ X1 )
= $true ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f56]) ).
thf(f56,plain,
( spl0_1
<=> ! [X1: a] :
( ( ( sK2 @ X1 )
= $false )
| ( ( cE @ X1 )
= $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f96,plain,
( ( $true
= ( sK2 @ sK5 ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f94]) ).
thf(f94,plain,
( spl0_9
<=> ( $true
= ( sK2 @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f140,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f139]) ).
thf(f139,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f138]) ).
thf(f138,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f132,f80]) ).
thf(f80,plain,
( ( ( cD @ sK4 )
= $false )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f78]) ).
thf(f78,plain,
( spl0_6
<=> ( ( cD @ sK4 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f132,plain,
( ( $true
= ( cD @ sK4 ) )
| ~ spl0_2
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f127]) ).
thf(f127,plain,
( ( $true = $false )
| ( $true
= ( cD @ sK4 ) )
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f90,f61]) ).
thf(f90,plain,
( ( $true
= ( sK2 @ sK4 ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f88]) ).
thf(f88,plain,
( spl0_8
<=> ( $true
= ( sK2 @ sK4 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
thf(f114,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f113]) ).
thf(f113,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f112]) ).
thf(f112,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f107,f76]) ).
thf(f76,plain,
( ( ( cE @ sK3 )
= $false )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f74]) ).
thf(f74,plain,
( spl0_5
<=> ( ( cE @ sK3 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f107,plain,
( ( $true
= ( cE @ sK3 ) )
| ~ spl0_1
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f104]) ).
thf(f104,plain,
( ( $true
= ( cE @ sK3 ) )
| ( $true = $false )
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f57,f85]) ).
thf(f100,plain,
( spl0_7
| spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f24,f88,f94,f83]) ).
thf(f24,plain,
( ( $true
= ( sK2 @ sK3 ) )
| ( $true
= ( sK2 @ sK4 ) )
| ( $true
= ( sK2 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f22]) ).
thf(f22,plain,
( ( $true
= ( sK2 @ sK5 ) )
| ( ( ( sK2 @ sK4 )
=> ( cD @ sK4 ) )
= $false )
| ( $true
= ( sK2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f20]) ).
thf(f20,plain,
( ( ( ( sK2 @ sK3 )
=> ( ( cD @ sK3 )
& ( cE @ sK3 ) ) )
= $false )
| ( ( ( sK2 @ sK4 )
=> ( cD @ sK4 ) )
= $false )
| ( $true
= ( sK2 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f18]) ).
thf(f18,plain,
( ( ( ( sK2 @ sK5 )
=> ( cE @ sK5 ) )
= $false )
| ( ( ( sK2 @ sK4 )
=> ( cD @ sK4 ) )
= $false )
| ( ( ( sK2 @ sK3 )
=> ( ( cD @ sK3 )
& ( cE @ sK3 ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f17]) ).
thf(f17,plain,
( ( ( ( sK2 @ sK3 )
=> ( ( cD @ sK3 )
& ( cE @ sK3 ) ) )
= $false )
| ( ( ( sK2 @ sK4 )
=> ( cD @ sK4 ) )
= $false )
| ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) )
@ sK5 )
= $false ) ),
inference(sigma_clausification,[],[f16]) ).
thf(f16,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) )
= $false )
| ( ( ( sK2 @ sK4 )
=> ( cD @ sK4 ) )
= $false )
| ( ( ( sK2 @ sK3 )
=> ( ( cD @ sK3 )
& ( cE @ sK3 ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f15]) ).
thf(f15,plain,
( ( ( ( sK2 @ sK3 )
=> ( ( cD @ sK3 )
& ( cE @ sK3 ) ) )
= $false )
| ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) )
@ sK4 )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) )
= $false ) ),
inference(sigma_clausification,[],[f14]) ).
thf(f14,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) )
= $false )
| ( ( ( sK2 @ sK3 )
=> ( ( cD @ sK3 )
& ( cE @ sK3 ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f13,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) ) )
= $false )
| ( ( ( sK2 @ sK3 )
=> ( ( cD @ sK3 )
& ( cE @ sK3 ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f12]) ).
thf(f12,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) ) )
= $false )
| ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cD @ Y0 )
& ( cE @ Y0 ) ) )
@ sK3 )
= $false ) ),
inference(sigma_clausification,[],[f11]) ).
thf(f11,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cD @ Y0 )
& ( cE @ Y0 ) ) ) )
= $false )
| ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f9,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cD @ Y0 )
& ( cE @ Y0 ) ) ) )
!= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f8]) ).
thf(f8,plain,
( ( ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ( cD @ Y1 )
& ( cE @ Y1 ) ) ) )
@ sK2 )
!= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cD @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cE @ Y1 ) ) ) )
@ sK2 ) ),
inference(negative_extensionality,[],[f7]) ).
thf(f7,plain,
( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cD @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cE @ Y1 ) ) ) ) )
!= ( ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ( cD @ Y1 )
& ( cE @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f6,plain,
( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cD @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cE @ Y1 ) ) ) ) )
!= ( ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ( cD @ Y1 )
& ( cE @ Y1 ) ) ) ) ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cD @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cE @ Y1 ) ) ) ) )
!= ( ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ( cD @ Y1 )
& ( cE @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
( ( ^ [X0: a > $o] :
( ! [X1: a] :
( ( X0 @ X1 )
=> ( cE @ X1 ) )
& ! [X2: a] :
( ( X0 @ X2 )
=> ( cD @ X2 ) ) ) )
!= ( ^ [X3: a > $o] :
! [X4: a] :
( ( X3 @ X4 )
=> ( ( cE @ X4 )
& ( cD @ X4 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
( ( ^ [X1: a > $o] :
( ! [X2: a] :
( ( X1 @ X2 )
=> ( cE @ X2 ) )
& ! [X2: a] :
( ( X1 @ X2 )
=> ( cD @ X2 ) ) ) )
!= ( ^ [X0: a > $o] :
! [X1: a] :
( ( X0 @ X1 )
=> ( ( cE @ X1 )
& ( cD @ X1 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ^ [X1: a > $o] :
( ! [X2: a] :
( ( X1 @ X2 )
=> ( cE @ X2 ) )
& ! [X2: a] :
( ( X1 @ X2 )
=> ( cD @ X2 ) ) ) )
= ( ^ [X0: a > $o] :
! [X1: a] :
( ( X0 @ X1 )
=> ( ( cE @ X1 )
& ( cD @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.wuQxNy0be2/Vampire---4.8_26665',cX5209_pme) ).
thf(f99,plain,
( spl0_6
| spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f23,f94,f83,f78]) ).
thf(f23,plain,
( ( $true
= ( sK2 @ sK5 ) )
| ( ( cD @ sK4 )
= $false )
| ( $true
= ( sK2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f22]) ).
thf(f98,plain,
( spl0_8
| spl0_9
| spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f27,f74,f66,f94,f88]) ).
thf(f27,plain,
( ( $true
= ( sK2 @ sK5 ) )
| ( ( cE @ sK3 )
= $false )
| ( ( cD @ sK3 )
= $false )
| ( $true
= ( sK2 @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f25]) ).
thf(f25,plain,
( ( ( cE @ sK3 )
= $false )
| ( $true
= ( sK2 @ sK5 ) )
| ( ( ( sK2 @ sK4 )
=> ( cD @ sK4 ) )
= $false )
| ( ( cD @ sK3 )
= $false ) ),
inference(binary_proxy_clausification,[],[f21]) ).
thf(f21,plain,
( ( $false
= ( ( cD @ sK3 )
& ( cE @ sK3 ) ) )
| ( $true
= ( sK2 @ sK5 ) )
| ( ( ( sK2 @ sK4 )
=> ( cD @ sK4 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f20]) ).
thf(f97,plain,
( spl0_5
| spl0_6
| spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f26,f66,f94,f78,f74]) ).
thf(f26,plain,
( ( ( cD @ sK3 )
= $false )
| ( ( cE @ sK3 )
= $false )
| ( $true
= ( sK2 @ sK5 ) )
| ( ( cD @ sK4 )
= $false ) ),
inference(binary_proxy_clausification,[],[f25]) ).
thf(f92,plain,
( spl0_4
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f31,f88,f83,f70]) ).
thf(f31,plain,
( ( $true
= ( sK2 @ sK4 ) )
| ( ( cE @ sK5 )
= $false )
| ( $true
= ( sK2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f29]) ).
thf(f29,plain,
( ( $true
= ( sK2 @ sK4 ) )
| ( ( cE @ sK5 )
= $false )
| ( ( ( sK2 @ sK3 )
=> ( ( cD @ sK3 )
& ( cE @ sK3 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f19,plain,
( ( ( cE @ sK5 )
= $false )
| ( ( ( sK2 @ sK4 )
=> ( cD @ sK4 ) )
= $false )
| ( ( ( sK2 @ sK3 )
=> ( ( cD @ sK3 )
& ( cE @ sK3 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f18]) ).
thf(f91,plain,
( spl0_5
| spl0_4
| spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f32,f88,f66,f70,f74]) ).
thf(f32,plain,
( ( ( cE @ sK5 )
= $false )
| ( ( cD @ sK3 )
= $false )
| ( ( cE @ sK3 )
= $false )
| ( $true
= ( sK2 @ sK4 ) ) ),
inference(binary_proxy_clausification,[],[f30]) ).
thf(f30,plain,
( ( $true
= ( sK2 @ sK4 ) )
| ( ( cE @ sK5 )
= $false )
| ( $false
= ( ( cD @ sK3 )
& ( cE @ sK3 ) ) ) ),
inference(binary_proxy_clausification,[],[f29]) ).
thf(f86,plain,
( spl0_6
| spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f34,f70,f83,f78]) ).
thf(f34,plain,
( ( ( cE @ sK5 )
= $false )
| ( ( cD @ sK4 )
= $false )
| ( $true
= ( sK2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f28]) ).
thf(f28,plain,
( ( ( cD @ sK4 )
= $false )
| ( ( cE @ sK5 )
= $false )
| ( ( ( sK2 @ sK3 )
=> ( ( cD @ sK3 )
& ( cE @ sK3 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f81,plain,
( spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f35,f78,f74,f70,f66]) ).
thf(f35,plain,
( ( ( cE @ sK5 )
= $false )
| ( ( cE @ sK3 )
= $false )
| ( ( cD @ sK3 )
= $false )
| ( ( cD @ sK4 )
= $false ) ),
inference(binary_proxy_clausification,[],[f33]) ).
thf(f33,plain,
( ( ( cE @ sK5 )
= $false )
| ( $false
= ( ( cD @ sK3 )
& ( cE @ sK3 ) ) )
| ( ( cD @ sK4 )
= $false ) ),
inference(binary_proxy_clausification,[],[f28]) ).
thf(f64,plain,
( spl0_2
| spl0_2 ),
inference(avatar_split_clause,[],[f45,f60,f60]) ).
thf(f45,plain,
! [X2: a,X1: a] :
( ( ( sK2 @ X2 )
= $false )
| ( ( cD @ X1 )
= $true )
| ( ( sK2 @ X1 )
= $false )
| ( ( cD @ X2 )
= $true ) ),
inference(binary_proxy_clausification,[],[f43]) ).
thf(f43,plain,
! [X2: a,X1: a] :
( ( ( sK2 @ X1 )
= $false )
| ( $true
= ( ( cD @ X2 )
& ( cE @ X2 ) ) )
| ( ( sK2 @ X2 )
= $false )
| ( ( cD @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[],[f42]) ).
thf(f42,plain,
! [X2: a,X1: a] :
( ( ( sK2 @ X1 )
= $false )
| ( $true
= ( ( sK2 @ X2 )
=> ( ( cD @ X2 )
& ( cE @ X2 ) ) ) )
| ( ( cD @ X1 )
= $true ) ),
inference(beta_eta_normalization,[],[f41]) ).
thf(f41,plain,
! [X2: a,X1: a] :
( ( $true
= ( ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cD @ Y0 )
& ( cE @ Y0 ) ) )
@ X2 ) )
| ( ( sK2 @ X1 )
= $false )
| ( ( cD @ X1 )
= $true ) ),
inference(pi_clausification,[],[f40]) ).
thf(f40,plain,
! [X1: a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cD @ Y0 )
& ( cE @ Y0 ) ) ) )
= $true )
| ( ( cD @ X1 )
= $true )
| ( ( sK2 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f39]) ).
thf(f39,plain,
! [X1: a] :
( ( $true
= ( ( sK2 @ X1 )
=> ( cD @ X1 ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cD @ Y0 )
& ( cE @ Y0 ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f38]) ).
thf(f38,plain,
! [X1: a] :
( ( ( ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) )
@ X1 )
= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cD @ Y0 )
& ( cE @ Y0 ) ) ) )
= $true ) ),
inference(pi_clausification,[],[f37]) ).
thf(f37,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cD @ Y0 )
& ( cE @ Y0 ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f10]) ).
thf(f10,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cD @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cD @ Y0 )
& ( cE @ Y0 ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f58,plain,
( spl0_1
| spl0_1 ),
inference(avatar_split_clause,[],[f54,f56,f56]) ).
thf(f54,plain,
! [X2: a,X1: a] :
( ( ( sK2 @ X1 )
= $false )
| ( ( cE @ X2 )
= $true )
| ( ( sK2 @ X2 )
= $false )
| ( ( cE @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[],[f51]) ).
thf(f51,plain,
! [X2: a,X1: a] :
( ( ( cE @ X1 )
= $true )
| ( ( sK2 @ X1 )
= $false )
| ( $true
= ( ( sK2 @ X2 )
=> ( cE @ X2 ) ) ) ),
inference(binary_proxy_clausification,[],[f50]) ).
thf(f50,plain,
! [X2: a,X1: a] :
( ( $true
= ( ( cD @ X1 )
& ( cE @ X1 ) ) )
| ( $true
= ( ( sK2 @ X2 )
=> ( cE @ X2 ) ) )
| ( ( sK2 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f49]) ).
thf(f49,plain,
! [X2: a,X1: a] :
( ( $true
= ( ( sK2 @ X1 )
=> ( ( cD @ X1 )
& ( cE @ X1 ) ) ) )
| ( $true
= ( ( sK2 @ X2 )
=> ( cE @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f48]) ).
thf(f48,plain,
! [X2: a,X1: a] :
( ( $true
= ( ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) )
@ X2 ) )
| ( $true
= ( ( sK2 @ X1 )
=> ( ( cD @ X1 )
& ( cE @ X1 ) ) ) ) ),
inference(pi_clausification,[],[f47]) ).
thf(f47,plain,
! [X1: a] :
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) ) )
| ( $true
= ( ( sK2 @ X1 )
=> ( ( cD @ X1 )
& ( cE @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[],[f46]) ).
thf(f46,plain,
! [X1: a] :
( ( $true
= ( ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cD @ Y0 )
& ( cE @ Y0 ) ) )
@ X1 ) )
| ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) ) ) ),
inference(pi_clausification,[],[f36]) ).
thf(f36,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( ( cD @ Y0 )
& ( cE @ Y0 ) ) ) )
= $true )
| ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 )
=> ( cE @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEV229^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % 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
% 0.16/0.36 % Computer : n023.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 3 12:16:23 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TH0_THM_EQU_NAR problem
% 0.16/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.wuQxNy0be2/Vampire---4.8_26665
% 0.16/0.39 % (26917)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 Vampire---4 for (3000ds/27Mi)
% 0.16/0.39 % (26920)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.16/0.39 % (26919)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.16/0.39 % (26915)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.16/0.39 % (26916)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 Vampire---4 for (3000ds/4Mi)
% 0.16/0.39 % (26921)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.16/0.39 % (26918)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.16/0.39 % (26922)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (3000ds/3Mi)
% 0.16/0.39 % (26918)Instruction limit reached!
% 0.16/0.39 % (26918)------------------------------
% 0.16/0.39 % (26918)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (26918)Termination reason: Unknown
% 0.16/0.39 % (26918)Termination phase: Saturation
% 0.16/0.39 % (26919)Instruction limit reached!
% 0.16/0.39 % (26919)------------------------------
% 0.16/0.39 % (26919)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (26919)Termination reason: Unknown
% 0.16/0.39 % (26919)Termination phase: Saturation
% 0.16/0.39
% 0.16/0.39 % (26919)Memory used [KB]: 5373
% 0.16/0.39 % (26919)Time elapsed: 0.004 s
% 0.16/0.39 % (26919)Instructions burned: 2 (million)
% 0.16/0.39 % (26919)------------------------------
% 0.16/0.39 % (26919)------------------------------
% 0.16/0.39
% 0.16/0.39 % (26918)Memory used [KB]: 5373
% 0.16/0.39 % (26918)Time elapsed: 0.003 s
% 0.16/0.39 % (26918)Instructions burned: 2 (million)
% 0.16/0.39 % (26918)------------------------------
% 0.16/0.39 % (26918)------------------------------
% 0.16/0.39 % (26922)Refutation not found, incomplete strategy
% 0.16/0.39 % (26922)------------------------------
% 0.16/0.39 % (26922)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (26922)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.39
% 0.16/0.39
% 0.16/0.39 % (26922)Memory used [KB]: 5500
% 0.16/0.39 % (26922)Time elapsed: 0.003 s
% 0.16/0.39 % (26922)Instructions burned: 2 (million)
% 0.16/0.39 % (26922)------------------------------
% 0.16/0.39 % (26922)------------------------------
% 0.16/0.39 % (26916)Instruction limit reached!
% 0.16/0.39 % (26916)------------------------------
% 0.16/0.39 % (26916)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (26916)Termination reason: Unknown
% 0.16/0.39 % (26916)Termination phase: Saturation
% 0.16/0.39
% 0.16/0.39 % (26916)Memory used [KB]: 5500
% 0.16/0.39 % (26916)Time elapsed: 0.005 s
% 0.16/0.39 % (26916)Instructions burned: 4 (million)
% 0.16/0.39 % (26916)------------------------------
% 0.16/0.39 % (26916)------------------------------
% 0.16/0.39 % (26920)First to succeed.
% 0.16/0.40 % (26921)Also succeeded, but the first one will report.
% 0.16/0.40 % (26920)Refutation found. Thanks to Tanya!
% 0.16/0.40 % SZS status Theorem for Vampire---4
% 0.16/0.40 % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.40 % (26920)------------------------------
% 0.16/0.40 % (26920)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (26920)Termination reason: Refutation
% 0.16/0.40
% 0.16/0.40 % (26920)Memory used [KB]: 5500
% 0.16/0.40 % (26920)Time elapsed: 0.010 s
% 0.16/0.40 % (26920)Instructions burned: 7 (million)
% 0.16/0.40 % (26920)------------------------------
% 0.16/0.40 % (26920)------------------------------
% 0.16/0.40 % (26914)Success in time 0.022 s
% 0.16/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------