TSTP Solution File: SEU895^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU895^5 : 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 : n007.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 03:52:06 EDT 2024
% Result : Theorem 0.15s 0.42s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 22
% Syntax : Number of formulae : 118 ( 9 unt; 12 typ; 0 def)
% Number of atoms : 777 ( 311 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 867 ( 80 ~; 231 |; 85 &; 424 @)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 17 usr; 16 con; 0-2 aty)
% ( 0 !!; 38 ??; 0 @@+; 0 @@-)
% Number of variables : 102 ( 58 ^ 34 !; 9 ?; 102 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
a: $tType ).
thf(func_def_0,type,
b: $tType ).
thf(func_def_1,type,
a: $tType ).
thf(func_def_2,type,
f: b > a ).
thf(func_def_3,type,
y: b > $o ).
thf(func_def_4,type,
x: b > $o ).
thf(func_def_16,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
sK2: a ).
thf(func_def_18,type,
sK3: b ).
thf(func_def_19,type,
sK4: b ).
thf(func_def_20,type,
sK5: b ).
thf(f149,plain,
$false,
inference(avatar_sat_refutation,[],[f81,f86,f95,f96,f101,f102,f103,f104,f112,f113,f122,f131,f140,f148]) ).
thf(f148,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f147]) ).
thf(f147,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f143,f85]) ).
thf(f85,plain,
( ( ( f @ sK3 )
= sK2 )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f83]) ).
thf(f83,plain,
( spl0_4
<=> ( ( f @ sK3 )
= sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f143,plain,
( ( ( f @ sK3 )
!= sK2 )
| ~ spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f141]) ).
thf(f141,plain,
( ( ( f @ sK3 )
!= sK2 )
| ( $false = $true )
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f72,f110]) ).
thf(f110,plain,
( ! [X2: b] :
( ( ( x @ X2 )
= $false )
| ( sK2
!= ( f @ X2 ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f109]) ).
thf(f109,plain,
( spl0_9
<=> ! [X2: b] :
( ( sK2
!= ( f @ X2 ) )
| ( ( x @ X2 )
= $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f72,plain,
( ( ( x @ sK3 )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f70,plain,
( spl0_1
<=> ( ( x @ sK3 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f140,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f139]) ).
thf(f139,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f135,f80]) ).
thf(f80,plain,
( ( ( f @ sK5 )
= sK2 )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f78]) ).
thf(f78,plain,
( spl0_3
<=> ( ( f @ sK5 )
= sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f135,plain,
( ( ( f @ sK5 )
!= sK2 )
| ~ spl0_7
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f134]) ).
thf(f134,plain,
( ( ( f @ sK5 )
!= sK2 )
| ( $false = $true )
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f107,f100]) ).
thf(f100,plain,
( ( ( y @ sK5 )
= $true )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f98]) ).
thf(f98,plain,
( spl0_7
<=> ( ( y @ sK5 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f107,plain,
( ! [X1: b] :
( ( ( y @ X1 )
= $false )
| ( ( f @ X1 )
!= sK2 ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f106]) ).
thf(f106,plain,
( spl0_8
<=> ! [X1: b] :
( ( ( y @ X1 )
= $false )
| ( ( f @ X1 )
!= sK2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
thf(f131,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f130]) ).
thf(f130,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f126,f76]) ).
thf(f76,plain,
( ( ( f @ sK4 )
= sK2 )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f74]) ).
thf(f74,plain,
( spl0_2
<=> ( ( f @ sK4 )
= sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f126,plain,
( ( ( f @ sK4 )
!= sK2 )
| ~ spl0_6
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f124]) ).
thf(f124,plain,
( ( $false = $true )
| ( ( f @ sK4 )
!= sK2 )
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f94,f107]) ).
thf(f94,plain,
( ( ( y @ sK4 )
= $true )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f92]) ).
thf(f92,plain,
( spl0_6
<=> ( ( y @ sK4 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f122,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f121]) ).
thf(f121,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f117,f76]) ).
thf(f117,plain,
( ( ( f @ sK4 )
!= sK2 )
| ~ spl0_5
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f116]) ).
thf(f116,plain,
( ( ( f @ sK4 )
!= sK2 )
| ( $false = $true )
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f90,f110]) ).
thf(f90,plain,
( ( ( x @ sK4 )
= $true )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f88]) ).
thf(f88,plain,
( spl0_5
<=> ( ( x @ sK4 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f113,plain,
( spl0_8
| spl0_8 ),
inference(avatar_split_clause,[],[f25,f106,f106]) ).
thf(f25,plain,
! [X2: b,X1: b] :
( ( $false
= ( y @ X2 ) )
| ( sK2
!= ( f @ X2 ) )
| ( ( f @ X1 )
!= sK2 )
| ( ( y @ X1 )
= $false ) ),
inference(equality_proxy_clausification,[],[f24]) ).
thf(f24,plain,
! [X2: b,X1: b] :
( ( $false
= ( ( f @ X2 )
= sK2 ) )
| ( ( f @ X1 )
!= sK2 )
| ( $false
= ( y @ X2 ) )
| ( ( y @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f20]) ).
thf(f20,plain,
! [X2: b,X1: b] :
( ( ( f @ X1 )
!= sK2 )
| ( $false
= ( ( y @ X2 )
& ( ( f @ X2 )
= sK2 ) ) )
| ( ( y @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f19,plain,
! [X2: b,X1: b] :
( ( $false
= ( ( x @ X1 )
| ( y @ X1 ) ) )
| ( ( f @ X1 )
!= sK2 )
| ( $false
= ( ( y @ X2 )
& ( ( f @ X2 )
= sK2 ) ) ) ),
inference(equality_proxy_clausification,[],[f18]) ).
thf(f18,plain,
! [X2: b,X1: b] :
( ( $false
= ( ( f @ X1 )
= sK2 ) )
| ( $false
= ( ( x @ X1 )
| ( y @ X1 ) ) )
| ( $false
= ( ( y @ X2 )
& ( ( f @ X2 )
= sK2 ) ) ) ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
! [X2: b,X1: b] :
( ( ( ( ( x @ X1 )
| ( y @ X1 ) )
& ( ( f @ X1 )
= sK2 ) )
= $false )
| ( $false
= ( ( y @ X2 )
& ( ( f @ X2 )
= sK2 ) ) ) ),
inference(beta_eta_normalization,[],[f16]) ).
thf(f16,plain,
! [X2: b,X1: b] :
( ( ( ( ( x @ X1 )
| ( y @ X1 ) )
& ( ( f @ X1 )
= sK2 ) )
= $false )
| ( ( ^ [Y0: b] :
( ( y @ Y0 )
& ( ( f @ Y0 )
= sK2 ) )
@ X2 )
= $false ) ),
inference(pi_clausification,[],[f15]) ).
thf(f15,plain,
! [X1: b] :
( ( $false
= ( ?? @ b
@ ^ [Y0: b] :
( ( y @ Y0 )
& ( ( f @ Y0 )
= sK2 ) ) ) )
| ( ( ( ( x @ X1 )
| ( y @ X1 ) )
& ( ( f @ X1 )
= sK2 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f13,plain,
! [X1: b] :
( ( ( ( ?? @ b
@ ^ [Y0: b] :
( ( y @ Y0 )
& ( ( f @ Y0 )
= sK2 ) ) )
| ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( x @ Y0 ) ) ) )
= $false )
| ( ( ( ( x @ X1 )
| ( y @ X1 ) )
& ( ( f @ X1 )
= sK2 ) )
= $false ) ),
inference(beta_eta_normalization,[],[f12]) ).
thf(f12,plain,
! [X1: b] :
( ( ( ( ?? @ b
@ ^ [Y0: b] :
( ( y @ Y0 )
& ( ( f @ Y0 )
= sK2 ) ) )
| ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( x @ Y0 ) ) ) )
= $false )
| ( ( ^ [Y0: b] :
( ( ( x @ Y0 )
| ( y @ Y0 ) )
& ( ( f @ Y0 )
= sK2 ) )
@ X1 )
= $false ) ),
inference(pi_clausification,[],[f11]) ).
thf(f11,plain,
( ( $false
= ( ?? @ b
@ ^ [Y0: b] :
( ( ( x @ Y0 )
| ( y @ Y0 ) )
& ( ( f @ Y0 )
= sK2 ) ) ) )
| ( ( ( ?? @ b
@ ^ [Y0: b] :
( ( y @ Y0 )
& ( ( f @ Y0 )
= sK2 ) ) )
| ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( x @ Y0 ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f9,plain,
( ( ( ?? @ b
@ ^ [Y0: b] :
( ( y @ Y0 )
& ( ( f @ Y0 )
= sK2 ) ) )
| ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( x @ Y0 ) ) ) )
!= ( ?? @ b
@ ^ [Y0: b] :
( ( ( x @ Y0 )
| ( y @ Y0 ) )
& ( ( f @ Y0 )
= sK2 ) ) ) ),
inference(beta_eta_normalization,[],[f8]) ).
thf(f8,plain,
( ( ^ [Y0: a] :
( ( ?? @ b
@ ^ [Y1: b] :
( ( y @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) )
| ( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( x @ Y1 ) ) ) )
@ sK2 )
!= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( x @ Y1 )
| ( y @ Y1 ) )
& ( ( f @ Y1 )
= Y0 ) ) )
@ sK2 ) ),
inference(negative_extensionality,[],[f7]) ).
thf(f7,plain,
( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( x @ Y1 )
| ( y @ Y1 ) )
& ( ( f @ Y1 )
= Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ( ?? @ b
@ ^ [Y1: b] :
( ( y @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) )
| ( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( x @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f6,plain,
( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( x @ Y1 )
| ( y @ Y1 ) )
& ( ( f @ Y1 )
= Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ( ?? @ b
@ ^ [Y1: b] :
( ( y @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) )
| ( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( x @ Y1 ) ) ) ) ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( x @ Y1 )
| ( y @ Y1 ) )
& ( ( f @ Y1 )
= Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ( ?? @ b
@ ^ [Y1: b] :
( ( y @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) )
| ( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( x @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
( ( ^ [X0: a] :
? [X1: b] :
( ( ( f @ X1 )
= X0 )
& ( ( y @ X1 )
| ( x @ X1 ) ) ) )
!= ( ^ [X2: a] :
( ? [X3: b] :
( ( x @ X3 )
& ( ( f @ X3 )
= X2 ) )
| ? [X4: b] :
( ( ( f @ X4 )
= X2 )
& ( y @ X4 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
( ( ^ [X0: a] :
? [X1: b] :
( ( ( f @ X1 )
= X0 )
& ( ( y @ X1 )
| ( x @ X1 ) ) ) )
!= ( ^ [X0: a] :
( ? [X1: b] :
( ( x @ X1 )
& ( ( f @ X1 )
= X0 ) )
| ? [X1: b] :
( ( ( f @ X1 )
= X0 )
& ( y @ X1 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ^ [X0: a] :
? [X1: b] :
( ( ( f @ X1 )
= X0 )
& ( ( y @ X1 )
| ( x @ X1 ) ) ) )
= ( ^ [X0: a] :
( ? [X1: b] :
( ( x @ X1 )
& ( ( f @ X1 )
= X0 ) )
| ? [X1: b] :
( ( ( f @ X1 )
= X0 )
& ( y @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX5202_pme) ).
thf(f112,plain,
( spl0_9
| spl0_9 ),
inference(avatar_split_clause,[],[f33,f109,f109]) ).
thf(f33,plain,
! [X2: b,X1: b] :
( ( ( f @ X1 )
!= sK2 )
| ( sK2
!= ( f @ X2 ) )
| ( ( x @ X1 )
= $false )
| ( ( x @ X2 )
= $false ) ),
inference(equality_proxy_clausification,[],[f32]) ).
thf(f32,plain,
! [X2: b,X1: b] :
( ( $false
= ( ( f @ X2 )
= sK2 ) )
| ( ( x @ X2 )
= $false )
| ( ( f @ X1 )
!= sK2 )
| ( ( x @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f31]) ).
thf(f31,plain,
! [X2: b,X1: b] :
( ( ( f @ X1 )
!= sK2 )
| ( ( ( ( f @ X2 )
= sK2 )
& ( x @ X2 ) )
= $false )
| ( ( x @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f29]) ).
thf(f29,plain,
! [X2: b,X1: b] :
( ( ( f @ X1 )
!= sK2 )
| ( $false
= ( ( x @ X1 )
| ( y @ X1 ) ) )
| ( ( ( ( f @ X2 )
= sK2 )
& ( x @ X2 ) )
= $false ) ),
inference(beta_eta_normalization,[],[f28]) ).
thf(f28,plain,
! [X2: b,X1: b] :
( ( ( f @ X1 )
!= sK2 )
| ( $false
= ( ( x @ X1 )
| ( y @ X1 ) ) )
| ( ( ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( x @ Y0 ) )
@ X2 )
= $false ) ),
inference(pi_clausification,[],[f27]) ).
thf(f27,plain,
! [X1: b] :
( ( ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( x @ Y0 ) ) )
= $false )
| ( $false
= ( ( x @ X1 )
| ( y @ X1 ) ) )
| ( ( f @ X1 )
!= sK2 ) ),
inference(equality_proxy_clausification,[],[f26]) ).
thf(f26,plain,
! [X1: b] :
( ( $false
= ( ( f @ X1 )
= sK2 ) )
| ( ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( x @ Y0 ) ) )
= $false )
| ( $false
= ( ( x @ X1 )
| ( y @ X1 ) ) ) ),
inference(binary_proxy_clausification,[],[f14]) ).
thf(f14,plain,
! [X1: b] :
( ( ( ( ( x @ X1 )
| ( y @ X1 ) )
& ( ( f @ X1 )
= sK2 ) )
= $false )
| ( ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( x @ Y0 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f104,plain,
( spl0_6
| spl0_4
| spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f50,f88,f98,f83,f92]) ).
thf(f50,plain,
( ( ( x @ sK4 )
= $true )
| ( ( f @ sK3 )
= sK2 )
| ( ( y @ sK5 )
= $true )
| ( ( y @ sK4 )
= $true ) ),
inference(equality_proxy_clausification,[],[f49]) ).
thf(f49,plain,
( ( ( x @ sK4 )
= $true )
| ( ( y @ sK5 )
= $true )
| ( ( y @ sK4 )
= $true )
| ( ( ( f @ sK3 )
= sK2 )
= $true ) ),
inference(binary_proxy_clausification,[],[f47]) ).
thf(f47,plain,
( ( ( ( ( f @ sK3 )
= sK2 )
& ( x @ sK3 ) )
= $true )
| ( ( y @ sK4 )
= $true )
| ( ( x @ sK4 )
= $true )
| ( ( y @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f46]) ).
thf(f46,plain,
( ( ( y @ sK5 )
= $true )
| ( ( ( x @ sK4 )
| ( y @ sK4 ) )
= $true )
| ( ( ( ( f @ sK3 )
= sK2 )
& ( x @ sK3 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f44]) ).
thf(f44,plain,
( ( ( y @ sK5 )
= $true )
| ( ( ( ( x @ sK4 )
| ( y @ sK4 ) )
& ( ( f @ sK4 )
= sK2 ) )
= $true )
| ( ( ( ( f @ sK3 )
= sK2 )
& ( x @ sK3 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f42]) ).
thf(f42,plain,
( ( ( ( y @ sK5 )
& ( ( f @ sK5 )
= sK2 ) )
= $true )
| ( ( ( ( x @ sK4 )
| ( y @ sK4 ) )
& ( ( f @ sK4 )
= sK2 ) )
= $true )
| ( ( ( ( f @ sK3 )
= sK2 )
& ( x @ sK3 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f41]) ).
thf(f41,plain,
( ( ( ( ( f @ sK3 )
= sK2 )
& ( x @ sK3 ) )
= $true )
| ( ( ^ [Y0: b] :
( ( y @ Y0 )
& ( ( f @ Y0 )
= sK2 ) )
@ sK5 )
= $true )
| ( ( ( ( x @ sK4 )
| ( y @ sK4 ) )
& ( ( f @ sK4 )
= sK2 ) )
= $true ) ),
inference(sigma_clausification,[],[f40]) ).
thf(f40,plain,
( ( ( ?? @ b
@ ^ [Y0: b] :
( ( y @ Y0 )
& ( ( f @ Y0 )
= sK2 ) ) )
= $true )
| ( ( ( ( f @ sK3 )
= sK2 )
& ( x @ sK3 ) )
= $true )
| ( ( ( ( x @ sK4 )
| ( y @ sK4 ) )
& ( ( f @ sK4 )
= sK2 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f39]) ).
thf(f39,plain,
( ( ( ?? @ b
@ ^ [Y0: b] :
( ( y @ Y0 )
& ( ( f @ Y0 )
= sK2 ) ) )
= $true )
| ( ( ^ [Y0: b] :
( ( ( x @ Y0 )
| ( y @ Y0 ) )
& ( ( f @ Y0 )
= sK2 ) )
@ sK4 )
= $true )
| ( ( ( ( f @ sK3 )
= sK2 )
& ( x @ sK3 ) )
= $true ) ),
inference(sigma_clausification,[],[f38]) ).
thf(f38,plain,
( ( ( ?? @ b
@ ^ [Y0: b] :
( ( ( x @ Y0 )
| ( y @ Y0 ) )
& ( ( f @ Y0 )
= sK2 ) ) )
= $true )
| ( ( ?? @ b
@ ^ [Y0: b] :
( ( y @ Y0 )
& ( ( f @ Y0 )
= sK2 ) ) )
= $true )
| ( ( ( ( f @ sK3 )
= sK2 )
& ( x @ sK3 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f37]) ).
thf(f37,plain,
( ( ( ?? @ b
@ ^ [Y0: b] :
( ( y @ Y0 )
& ( ( f @ Y0 )
= sK2 ) ) )
= $true )
| ( ( ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( x @ Y0 ) )
@ sK3 )
= $true )
| ( ( ?? @ b
@ ^ [Y0: b] :
( ( ( x @ Y0 )
| ( y @ Y0 ) )
& ( ( f @ Y0 )
= sK2 ) ) )
= $true ) ),
inference(sigma_clausification,[],[f36]) ).
thf(f36,plain,
( ( ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( x @ Y0 ) ) )
= $true )
| ( ( ?? @ b
@ ^ [Y0: b] :
( ( ( x @ Y0 )
| ( y @ Y0 ) )
& ( ( f @ Y0 )
= sK2 ) ) )
= $true )
| ( ( ?? @ b
@ ^ [Y0: b] :
( ( y @ Y0 )
& ( ( f @ Y0 )
= sK2 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f10]) ).
thf(f10,plain,
( ( ( ( ?? @ b
@ ^ [Y0: b] :
( ( y @ Y0 )
& ( ( f @ Y0 )
= sK2 ) ) )
| ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( x @ Y0 ) ) ) )
= $true )
| ( ( ?? @ b
@ ^ [Y0: b] :
( ( ( x @ Y0 )
| ( y @ Y0 ) )
& ( ( f @ Y0 )
= sK2 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f103,plain,
( spl0_1
| spl0_7
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f48,f92,f88,f98,f70]) ).
thf(f48,plain,
( ( ( x @ sK3 )
= $true )
| ( ( y @ sK5 )
= $true )
| ( ( x @ sK4 )
= $true )
| ( ( y @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[],[f47]) ).
thf(f102,plain,
( spl0_4
| spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f54,f74,f98,f83]) ).
thf(f54,plain,
( ( ( y @ sK5 )
= $true )
| ( ( f @ sK4 )
= sK2 )
| ( ( f @ sK3 )
= sK2 ) ),
inference(equality_proxy_clausification,[],[f53]) ).
thf(f53,plain,
( ( ( ( f @ sK3 )
= sK2 )
= $true )
| ( ( y @ sK5 )
= $true )
| ( ( f @ sK4 )
= sK2 ) ),
inference(binary_proxy_clausification,[],[f51]) ).
thf(f51,plain,
( ( ( y @ sK5 )
= $true )
| ( ( ( ( f @ sK3 )
= sK2 )
& ( x @ sK3 ) )
= $true )
| ( ( f @ sK4 )
= sK2 ) ),
inference(equality_proxy_clausification,[],[f45]) ).
thf(f45,plain,
( ( ( ( f @ sK4 )
= sK2 )
= $true )
| ( ( ( ( f @ sK3 )
= sK2 )
& ( x @ sK3 ) )
= $true )
| ( ( y @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f44]) ).
thf(f101,plain,
( spl0_2
| spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f52,f98,f70,f74]) ).
thf(f52,plain,
( ( ( f @ sK4 )
= sK2 )
| ( ( y @ sK5 )
= $true )
| ( ( x @ sK3 )
= $true ) ),
inference(binary_proxy_clausification,[],[f51]) ).
thf(f96,plain,
( spl0_5
| spl0_4
| spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f61,f92,f78,f83,f88]) ).
thf(f61,plain,
( ( ( f @ sK5 )
= sK2 )
| ( ( f @ sK3 )
= sK2 )
| ( ( x @ sK4 )
= $true )
| ( ( y @ sK4 )
= $true ) ),
inference(equality_proxy_clausification,[],[f60]) ).
thf(f60,plain,
( ( ( x @ sK4 )
= $true )
| ( ( f @ sK5 )
= sK2 )
| ( ( ( f @ sK3 )
= sK2 )
= $true )
| ( ( y @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[],[f58]) ).
thf(f58,plain,
( ( ( x @ sK4 )
= $true )
| ( ( y @ sK4 )
= $true )
| ( ( f @ sK5 )
= sK2 )
| ( ( ( ( f @ sK3 )
= sK2 )
& ( x @ sK3 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f57]) ).
thf(f57,plain,
( ( ( ( x @ sK4 )
| ( y @ sK4 ) )
= $true )
| ( ( f @ sK5 )
= sK2 )
| ( ( ( ( f @ sK3 )
= sK2 )
& ( x @ sK3 ) )
= $true ) ),
inference(equality_proxy_clausification,[],[f56]) ).
thf(f56,plain,
( ( ( ( f @ sK5 )
= sK2 )
= $true )
| ( ( ( x @ sK4 )
| ( y @ sK4 ) )
= $true )
| ( ( ( ( f @ sK3 )
= sK2 )
& ( x @ sK3 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f43]) ).
thf(f43,plain,
( ( ( ( ( x @ sK4 )
| ( y @ sK4 ) )
& ( ( f @ sK4 )
= sK2 ) )
= $true )
| ( ( ( f @ sK5 )
= sK2 )
= $true )
| ( ( ( ( f @ sK3 )
= sK2 )
& ( x @ sK3 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f42]) ).
thf(f95,plain,
( spl0_5
| spl0_6
| spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f59,f78,f70,f92,f88]) ).
thf(f59,plain,
( ( ( f @ sK5 )
= sK2 )
| ( ( y @ sK4 )
= $true )
| ( ( x @ sK3 )
= $true )
| ( ( x @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[],[f58]) ).
thf(f86,plain,
( spl0_2
| spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f66,f78,f83,f74]) ).
thf(f66,plain,
( ( ( f @ sK3 )
= sK2 )
| ( ( f @ sK4 )
= sK2 )
| ( ( f @ sK5 )
= sK2 ) ),
inference(equality_proxy_clausification,[],[f65]) ).
thf(f65,plain,
( ( ( f @ sK5 )
= sK2 )
| ( ( f @ sK3 )
= sK2 )
| ( ( ( f @ sK4 )
= sK2 )
= $true ) ),
inference(equality_proxy_clausification,[],[f64]) ).
thf(f64,plain,
( ( ( f @ sK5 )
= sK2 )
| ( ( ( f @ sK3 )
= sK2 )
= $true )
| ( ( ( f @ sK4 )
= sK2 )
= $true ) ),
inference(equality_proxy_clausification,[],[f63]) ).
thf(f63,plain,
( ( ( ( f @ sK5 )
= sK2 )
= $true )
| ( ( ( f @ sK4 )
= sK2 )
= $true )
| ( ( ( f @ sK3 )
= sK2 )
= $true ) ),
inference(binary_proxy_clausification,[],[f55]) ).
thf(f55,plain,
( ( ( ( ( f @ sK3 )
= sK2 )
& ( x @ sK3 ) )
= $true )
| ( ( ( f @ sK4 )
= sK2 )
= $true )
| ( ( ( f @ sK5 )
= sK2 )
= $true ) ),
inference(binary_proxy_clausification,[],[f43]) ).
thf(f81,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f68,f78,f74,f70]) ).
thf(f68,plain,
( ( ( f @ sK5 )
= sK2 )
| ( ( f @ sK4 )
= sK2 )
| ( ( x @ sK3 )
= $true ) ),
inference(equality_proxy_clausification,[],[f67]) ).
thf(f67,plain,
( ( ( f @ sK5 )
= sK2 )
| ( ( ( f @ sK4 )
= sK2 )
= $true )
| ( ( x @ sK3 )
= $true ) ),
inference(equality_proxy_clausification,[],[f62]) ).
thf(f62,plain,
( ( ( ( f @ sK5 )
= sK2 )
= $true )
| ( ( x @ sK3 )
= $true )
| ( ( ( f @ sK4 )
= sK2 )
= $true ) ),
inference(binary_proxy_clausification,[],[f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SEU895^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.16 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.39 % Computer : n007.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8042.1875MB
% 0.15/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Sun May 19 17:29:53 EDT 2024
% 0.15/0.39 % CPUTime :
% 0.15/0.39 This is a TH0_THM_EQU_NAR problem
% 0.15/0.40 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 % (31598)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.41 % (31595)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.41 % (31597)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)
% 0.15/0.41 % (31596)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)
% 0.15/0.41 % (31599)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)
% 0.15/0.41 % (31600)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)
% 0.15/0.41 % (31601)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.41 % (31602)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)
% 0.15/0.41 % (31598)Instruction limit reached!
% 0.15/0.41 % (31598)------------------------------
% 0.15/0.41 % (31598)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (31598)Termination reason: Unknown
% 0.15/0.41 % (31598)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (31599)Instruction limit reached!
% 0.15/0.41 % (31599)------------------------------
% 0.15/0.41 % (31599)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (31599)Termination reason: Unknown
% 0.15/0.41 % (31599)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (31599)Memory used [KB]: 5373
% 0.15/0.41 % (31599)Time elapsed: 0.003 s
% 0.15/0.41 % (31599)Instructions burned: 2 (million)
% 0.15/0.41 % (31599)------------------------------
% 0.15/0.41 % (31599)------------------------------
% 0.15/0.41 % (31598)Memory used [KB]: 5373
% 0.15/0.41 % (31598)Time elapsed: 0.003 s
% 0.15/0.41 % (31598)Instructions burned: 2 (million)
% 0.15/0.41 % (31598)------------------------------
% 0.15/0.41 % (31598)------------------------------
% 0.15/0.42 % (31602)Refutation not found, incomplete strategy
% 0.15/0.42 % (31602)------------------------------
% 0.15/0.42 % (31602)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (31602)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.42
% 0.15/0.42
% 0.15/0.42 % (31602)Memory used [KB]: 5500
% 0.15/0.42 % (31602)Time elapsed: 0.003 s
% 0.15/0.42 % (31602)Instructions burned: 2 (million)
% 0.15/0.42 % (31602)------------------------------
% 0.15/0.42 % (31602)------------------------------
% 0.15/0.42 % (31596)Instruction limit reached!
% 0.15/0.42 % (31596)------------------------------
% 0.15/0.42 % (31596)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (31596)Termination reason: Unknown
% 0.15/0.42 % (31596)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (31596)Memory used [KB]: 5500
% 0.15/0.42 % (31596)Time elapsed: 0.004 s
% 0.15/0.42 % (31596)Instructions burned: 5 (million)
% 0.15/0.42 % (31596)------------------------------
% 0.15/0.42 % (31596)------------------------------
% 0.15/0.42 % (31595)First to succeed.
% 0.15/0.42 % (31597)Also succeeded, but the first one will report.
% 0.15/0.42 % (31595)Refutation found. Thanks to Tanya!
% 0.15/0.42 % SZS status Theorem for theBenchmark
% 0.15/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.42 % (31595)------------------------------
% 0.15/0.42 % (31595)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (31595)Termination reason: Refutation
% 0.15/0.42
% 0.15/0.42 % (31595)Memory used [KB]: 5500
% 0.15/0.42 % (31595)Time elapsed: 0.008 s
% 0.15/0.42 % (31595)Instructions burned: 6 (million)
% 0.15/0.42 % (31595)------------------------------
% 0.15/0.42 % (31595)------------------------------
% 0.15/0.42 % (31594)Success in time 0.009 s
% 0.15/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------