TSTP Solution File: SEU868^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU868^5 : 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 03:51:59 EDT 2024
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 15
% Syntax : Number of formulae : 72 ( 29 unt; 12 typ; 0 def)
% Number of atoms : 457 ( 130 equ; 0 cnn)
% Maximal formula atoms : 5 ( 7 avg)
% Number of connectives : 851 ( 52 ~; 81 |; 44 &; 466 @)
% ( 5 <=>; 86 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 186 ( 186 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 12 usr; 10 con; 0-2 aty)
% ( 102 !!; 15 ??; 0 @@+; 0 @@-)
% Number of variables : 213 ( 155 ^ 54 !; 3 ?; 213 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cC: a > $o ).
thf(func_def_19,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_20,type,
sK2: ( a > $o ) > $o ).
thf(func_def_21,type,
sK3: a ).
thf(func_def_22,type,
sK4: a ).
thf(func_def_23,type,
sK5: a ).
thf(func_def_24,type,
sK6: a > $o ).
thf(func_def_25,type,
sK7: a ).
thf(func_def_26,type,
sK8: a > a ).
thf(func_def_27,type,
sK9: a > a ).
thf(f217,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f75,f216]) ).
thf(f216,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f215]) ).
thf(f215,plain,
( $false
| ~ spl0_1 ),
inference(equality_resolution,[],[f212]) ).
thf(f212,plain,
( ! [X0: a] :
( ( ( X0
= ( sK9 @ X0 ) )
| ( sK6 @ ( sK9 @ X0 ) ) )
!= ( ( sK5
= ( sK9 @ X0 ) )
| ( sK6 @ ( sK9 @ X0 ) ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f211]) ).
thf(f211,plain,
( ! [X0: a] :
( ( ( ( sK5
= ( sK9 @ X0 ) )
| ( sK6 @ ( sK9 @ X0 ) ) )
= ( ( X0
= ( sK9 @ X0 ) )
| ( sK6 @ ( sK9 @ X0 ) ) ) )
= $false )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f208]) ).
thf(f208,plain,
( ! [X0: a] :
( ( ^ [Y0: a] :
( ( ( sK5 = Y0 )
| ( sK6 @ Y0 ) )
= ( ( X0 = Y0 )
| ( sK6 @ Y0 ) ) )
@ ( sK9 @ X0 ) )
= $false )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f197]) ).
thf(f197,plain,
( ! [X0: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK5 = Y0 )
| ( sK6 @ Y0 ) )
= ( ( X0 = Y0 )
| ( sK6 @ Y0 ) ) ) )
= $false )
| ~ spl0_1 ),
inference(not_proxy_clausification,[],[f182]) ).
thf(f182,plain,
( ! [X0: a] :
( $true
= ( ~ ( !! @ a
@ ^ [Y0: a] :
( ( ( sK5 = Y0 )
| ( sK6 @ Y0 ) )
= ( ( X0 = Y0 )
| ( sK6 @ Y0 ) ) ) ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f181]) ).
thf(f181,plain,
( ! [X0: a] :
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK5 = Y0 )
| ( sK6 @ Y0 ) )
= ( ( X0 = Y0 )
| ( sK6 @ Y0 ) ) ) )
=> $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f174]) ).
thf(f174,plain,
( ! [X0: a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( sK5 = Y1 )
| ( sK6 @ Y1 ) )
@ Y0 )
= ( ( X0 = Y0 )
| ( sK6 @ Y0 ) ) ) )
=> $false )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f130,f87]) ).
thf(f87,plain,
( ( ( sK2
@ ^ [Y0: a] :
( ( sK5 = Y0 )
| ( sK6 @ Y0 ) ) )
= $false )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f86]) ).
thf(f86,plain,
( ( ( ( sK2 @ sK6 )
=> ( sK2
@ ^ [Y0: a] :
( ( sK5 = Y0 )
| ( sK6 @ Y0 ) ) ) )
= $false )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f85]) ).
thf(f85,plain,
( ( ( ^ [Y0: a > $o] :
( ( sK2 @ Y0 )
=> ( sK2
@ ^ [Y1: a] :
( ( sK5 = Y1 )
| ( Y0 @ Y1 ) ) ) )
@ sK6 )
= $false )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f82]) ).
thf(f82,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK2 @ Y0 )
=> ( sK2
@ ^ [Y1: a] :
( ( sK5 = Y1 )
| ( Y0 @ Y1 ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f80]) ).
thf(f80,plain,
( ( ( ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK2 @ Y1 )
=> ( sK2
@ ^ [Y2: a] :
( ( Y0 = Y2 )
| ( Y1 @ Y2 ) ) ) ) )
@ sK5 )
= $false )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f54]) ).
thf(f54,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK2 @ Y1 )
=> ( sK2
@ ^ [Y2: a] :
( ( Y0 = Y2 )
| ( Y1 @ Y2 ) ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f53]) ).
thf(f53,plain,
( spl0_1
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK2 @ Y1 )
=> ( sK2
@ ^ [Y2: a] :
( ( Y0 = Y2 )
| ( Y1 @ Y2 ) ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f130,plain,
( ! [X0: a > $o,X1: a] :
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( X0 @ Y0 )
= ( ( X1 = Y0 )
| ( sK6 @ Y0 ) ) ) )
=> ( sK2 @ X0 ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f124]) ).
thf(f124,plain,
( ! [X0: a > $o,X1: a] :
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( X0 @ Y0 )
= ( ( X1 = Y0 )
| ( sK6 @ Y0 ) ) ) )
& $true )
=> ( sK2 @ X0 ) )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f108,f88]) ).
thf(f88,plain,
( ( $true
= ( sK2 @ sK6 ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f86]) ).
thf(f108,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
= ( ( X3 = Y0 )
| ( X2 @ Y0 ) ) ) )
& ( sK2 @ X2 ) )
=> ( sK2 @ X1 ) ) ),
inference(beta_eta_normalization,[],[f107]) ).
thf(f107,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( ^ [Y0: a] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
= ( ( Y0 = Y1 )
| ( X2 @ Y1 ) ) ) )
& ( sK2 @ X2 ) )
=> ( sK2 @ X1 ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f101]) ).
thf(f101,plain,
! [X2: a > $o,X1: a > $o] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
= ( ( Y0 = Y1 )
| ( X2 @ Y1 ) ) ) )
& ( sK2 @ X2 ) )
=> ( sK2 @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f100]) ).
thf(f100,plain,
! [X2: a > $o,X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( X1 @ Y2 )
= ( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) )
& ( sK2 @ Y0 ) )
=> ( sK2 @ X1 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f96]) ).
thf(f96,plain,
! [X1: a > $o] :
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( X1 @ Y2 )
= ( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) )
& ( sK2 @ Y0 ) )
=> ( sK2 @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[],[f95]) ).
thf(f95,plain,
! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
= ( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) )
& ( sK2 @ Y1 ) )
=> ( sK2 @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f33]) ).
thf(f33,plain,
( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
= ( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) )
& ( sK2 @ Y1 ) )
=> ( sK2 @ Y0 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f23]) ).
thf(f23,plain,
( $true
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ~ ( ?? @ a @ Y0 )
=> ( sK2 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
= ( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) )
& ( sK2 @ Y1 ) )
=> ( sK2 @ Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f21]) ).
thf(f21,plain,
( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ~ ( ?? @ a @ Y0 )
=> ( sK2 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
= ( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) )
& ( sK2 @ Y1 ) )
=> ( sK2 @ Y0 ) ) ) ) ) )
=> ( sK2 @ cC ) )
= $false ),
inference(beta_eta_normalization,[],[f20]) ).
thf(f20,plain,
( ( ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ~ ( ?? @ a @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
= ( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) ) )
=> ( Y0 @ cC ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[],[f11]) ).
thf(f11,plain,
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ~ ( ?? @ a @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
= ( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) ) )
=> ( Y0 @ cC ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f8]) ).
thf(f8,plain,
( $false
= ( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y1 = Y3 )
| ( Y2 @ Y3 ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ cC ) ) )
=> ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ~ ( ?? @ a @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
= ( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) ) )
=> ( Y0 @ cC ) ) ) ) ),
inference(not_proxy_clausification,[],[f7]) ).
thf(f7,plain,
( ( ~ ( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y1 = Y3 )
| ( Y2 @ Y3 ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ cC ) ) )
=> ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ~ ( ?? @ a @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
= ( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) ) )
=> ( Y0 @ cC ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f6]) ).
thf(f6,plain,
( ( ~ ( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y1 = Y3 )
| ( Y2 @ Y3 ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ cC ) ) )
=> ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ~ ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
= ( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) ) )
=> ( Y0 @ cC ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( ( ~ ( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y1 = Y3 )
| ( Y2 @ Y3 ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ cC ) ) )
=> ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ~ ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
= ( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) ) )
=> ( Y0 @ cC ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ! [X0: ( a > $o ) > $o] :
( ( ( X0
@ ^ [X1: a] : $false )
& ! [X2: a > $o,X3: a] :
( ( X0 @ X2 )
=> ( X0
@ ^ [X4: a] :
( ( X2 @ X4 )
| ( X3 = X4 ) ) ) ) )
=> ( X0 @ cC ) )
=> ! [X5: ( a > $o ) > $o] :
( ( ! [X6: a,X7: a > $o,X8: a > $o] :
( ( ( X5 @ X7 )
& ! [X9: a] :
( ( X8 @ X9 )
<=> ( ( X7 @ X9 )
| ( X6 = X9 ) ) ) )
=> ( X5 @ X8 ) )
& ! [X10: a > $o] :
( ~ ? [X11: a] : ( X10 @ X11 )
=> ( X5 @ X10 ) ) )
=> ( X5 @ cC ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: ( a > $o ) > $o] :
( ( ( X0
@ ^ [X1: a] : $false )
& ! [X2: a > $o,X1: a] :
( ( X0 @ X2 )
=> ( X0
@ ^ [X3: a] :
( ( X2 @ X3 )
| ( X1 = X3 ) ) ) ) )
=> ( X0 @ cC ) )
=> ! [X4: ( a > $o ) > $o] :
( ( ! [X1: a,X6: a > $o,X7: a > $o] :
( ( ( X4 @ X6 )
& ! [X8: a] :
( ( X7 @ X8 )
<=> ( ( X6 @ X8 )
| ( X1 = X8 ) ) ) )
=> ( X4 @ X7 ) )
& ! [X5: a > $o] :
( ~ ? [X3: a] : ( X5 @ X3 )
=> ( X4 @ X5 ) ) )
=> ( X4 @ cC ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ! [X0: ( a > $o ) > $o] :
( ( ( X0
@ ^ [X1: a] : $false )
& ! [X2: a > $o,X1: a] :
( ( X0 @ X2 )
=> ( X0
@ ^ [X3: a] :
( ( X2 @ X3 )
| ( X1 = X3 ) ) ) ) )
=> ( X0 @ cC ) )
=> ! [X4: ( a > $o ) > $o] :
( ( ! [X1: a,X6: a > $o,X7: a > $o] :
( ( ( X4 @ X6 )
& ! [X8: a] :
( ( X7 @ X8 )
<=> ( ( X6 @ X8 )
| ( X1 = X8 ) ) ) )
=> ( X4 @ X7 ) )
& ! [X5: a > $o] :
( ~ ? [X3: a] : ( X5 @ X3 )
=> ( X4 @ X5 ) ) )
=> ( X4 @ cC ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM551_pme) ).
thf(f75,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f74]) ).
thf(f74,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f73]) ).
thf(f73,plain,
( ( $true = $false )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f67]) ).
thf(f67,plain,
( ( $true
= ( ^ [Y0: a] : $false
@ sK4 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f66]) ).
thf(f66,plain,
( ( ( ?? @ a
@ ^ [Y0: a] : $false )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f65]) ).
thf(f65,plain,
( ( ( ~ ~ ( ?? @ a
@ ^ [Y0: a] : $false ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f61]) ).
thf(f61,plain,
( ( $true
= ( ~ ( ?? @ a
@ ^ [Y0: a] : $false )
=> $false ) )
| ~ spl0_2 ),
inference(superposition,[],[f38,f57]) ).
thf(f57,plain,
( ( ( sK2
@ ^ [Y0: a] : $false )
= $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f56]) ).
thf(f56,plain,
( spl0_2
<=> ( ( sK2
@ ^ [Y0: a] : $false )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f38,plain,
! [X1: a > $o] :
( $true
= ( ~ ( ?? @ a @ X1 )
=> ( sK2 @ X1 ) ) ),
inference(beta_eta_normalization,[],[f37]) ).
thf(f37,plain,
! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ~ ( ?? @ a @ Y0 )
=> ( sK2 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f36]) ).
thf(f36,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ~ ( ?? @ a @ Y0 )
=> ( sK2 @ Y0 ) ) ) ),
inference(boolean_simplification,[],[f35]) ).
thf(f35,plain,
( $true
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ~ ( ?? @ a @ Y0 )
=> ( sK2 @ Y0 ) ) )
& $true ) ),
inference(backward_demodulation,[],[f23,f33]) ).
thf(f58,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f49,f56,f53]) ).
thf(f49,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK2 @ Y1 )
=> ( sK2
@ ^ [Y2: a] :
( ( Y0 = Y2 )
| ( Y1 @ Y2 ) ) ) ) ) )
= $false )
| ( ( sK2
@ ^ [Y0: a] : $false )
= $false ) ),
inference(binary_proxy_clausification,[],[f30]) ).
thf(f30,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK2 @ Y1 )
=> ( sK2
@ ^ [Y2: a] :
( ( Y0 = Y2 )
| ( Y1 @ Y2 ) ) ) ) ) )
& ( sK2
@ ^ [Y0: a] : $false ) )
= $false ),
inference(not_proxy_clausification,[],[f29]) ).
thf(f29,plain,
( $true
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK2 @ Y1 )
=> ( sK2
@ ^ [Y2: a] :
( ( Y0 = Y2 )
| ( Y1 @ Y2 ) ) ) ) ) )
& ( sK2
@ ^ [Y0: a] : $false ) ) ) ),
inference(boolean_simplification,[],[f28]) ).
thf(f28,plain,
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK2 @ Y1 )
=> ( sK2
@ ^ [Y2: a] :
( ( Y0 = Y2 )
| ( Y1 @ Y2 ) ) ) ) ) )
& ( sK2
@ ^ [Y0: a] : $false ) )
=> $false ) ),
inference(superposition,[],[f18,f22]) ).
thf(f22,plain,
( ( sK2 @ cC )
= $false ),
inference(binary_proxy_clausification,[],[f21]) ).
thf(f18,plain,
! [X1: ( a > $o ) > $o] :
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( X1 @ Y1 )
=> ( X1
@ ^ [Y2: a] :
( ( Y0 = Y2 )
| ( Y1 @ Y2 ) ) ) ) ) )
& ( X1
@ ^ [Y0: a] : $false ) )
=> ( X1 @ cC ) ) ),
inference(beta_eta_normalization,[],[f17]) ).
thf(f17,plain,
! [X1: ( a > $o ) > $o] :
( $true
= ( ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y1 = Y3 )
| ( Y2 @ Y3 ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ cC ) )
@ X1 ) ),
inference(pi_clausification,[],[f12]) ).
thf(f12,plain,
( $true
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y1 = Y3 )
| ( Y2 @ Y3 ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ cC ) ) ) ),
inference(binary_proxy_clausification,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU868^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 18:05:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38 % (5454)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.38 % (5455)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.14/0.38 % (5457)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.38 % (5458)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.38 % (5456)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.14/0.38 % (5459)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.14/0.38 % (5460)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.38 % (5461)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.14/0.38 % (5458)Instruction limit reached!
% 0.14/0.38 % (5458)------------------------------
% 0.14/0.38 % (5458)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (5458)Termination reason: Unknown
% 0.14/0.38 % (5458)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (5458)Memory used [KB]: 895
% 0.14/0.38 % (5458)Time elapsed: 0.003 s
% 0.14/0.38 % (5458)Instructions burned: 2 (million)
% 0.14/0.38 % (5458)------------------------------
% 0.14/0.38 % (5458)------------------------------
% 0.14/0.38 % (5457)Instruction limit reached!
% 0.14/0.38 % (5457)------------------------------
% 0.14/0.38 % (5457)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (5457)Termination reason: Unknown
% 0.14/0.38 % (5457)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (5457)Memory used [KB]: 5500
% 0.14/0.38 % (5457)Time elapsed: 0.004 s
% 0.14/0.38 % (5457)Instructions burned: 2 (million)
% 0.14/0.38 % (5457)------------------------------
% 0.14/0.38 % (5457)------------------------------
% 0.14/0.38 % (5455)Instruction limit reached!
% 0.14/0.38 % (5455)------------------------------
% 0.14/0.38 % (5455)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (5455)Termination reason: Unknown
% 0.14/0.38 % (5455)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (5455)Memory used [KB]: 5500
% 0.14/0.38 % (5455)Time elapsed: 0.005 s
% 0.14/0.38 % (5455)Instructions burned: 4 (million)
% 0.14/0.38 % (5455)------------------------------
% 0.14/0.38 % (5455)------------------------------
% 0.14/0.38 % (5461)Instruction limit reached!
% 0.14/0.38 % (5461)------------------------------
% 0.14/0.38 % (5461)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (5461)Termination reason: Unknown
% 0.14/0.38 % (5461)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (5461)Memory used [KB]: 5500
% 0.14/0.38 % (5461)Time elapsed: 0.005 s
% 0.14/0.38 % (5461)Instructions burned: 4 (million)
% 0.14/0.38 % (5461)------------------------------
% 0.14/0.38 % (5461)------------------------------
% 0.14/0.38 % (5456)Refutation not found, incomplete strategy
% 0.14/0.38 % (5456)------------------------------
% 0.14/0.38 % (5456)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (5456)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (5456)Memory used [KB]: 5500
% 0.14/0.38 % (5456)Time elapsed: 0.005 s
% 0.14/0.38 % (5456)Instructions burned: 3 (million)
% 0.14/0.38 % (5456)------------------------------
% 0.14/0.38 % (5456)------------------------------
% 0.21/0.39 % (5460)Instruction limit reached!
% 0.21/0.39 % (5460)------------------------------
% 0.21/0.39 % (5460)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (5460)Termination reason: Unknown
% 0.21/0.39 % (5460)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (5460)Memory used [KB]: 5628
% 0.21/0.39 % (5460)Time elapsed: 0.015 s
% 0.21/0.39 % (5460)Instructions burned: 18 (million)
% 0.21/0.39 % (5460)------------------------------
% 0.21/0.39 % (5460)------------------------------
% 0.21/0.40 % (5462)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)
% 0.21/0.40 % (5463)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)
% 0.21/0.40 % (5464)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)
% 0.21/0.40 % (5465)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)
% 0.21/0.40 % (5466)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.40 % (5464)Instruction limit reached!
% 0.21/0.40 % (5464)------------------------------
% 0.21/0.40 % (5464)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (5464)Termination reason: Unknown
% 0.21/0.40 % (5464)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (5464)Memory used [KB]: 5500
% 0.21/0.40 % (5464)Time elapsed: 0.004 s
% 0.21/0.40 % (5464)Instructions burned: 3 (million)
% 0.21/0.40 % (5464)------------------------------
% 0.21/0.40 % (5464)------------------------------
% 0.21/0.40 % (5466)Instruction limit reached!
% 0.21/0.40 % (5466)------------------------------
% 0.21/0.40 % (5466)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (5466)Termination reason: Unknown
% 0.21/0.40 % (5466)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (5466)Memory used [KB]: 1023
% 0.21/0.40 % (5466)Time elapsed: 0.007 s
% 0.21/0.40 % (5466)Instructions burned: 7 (million)
% 0.21/0.40 % (5466)------------------------------
% 0.21/0.40 % (5466)------------------------------
% 0.21/0.41 % (5463)Instruction limit reached!
% 0.21/0.41 % (5463)------------------------------
% 0.21/0.41 % (5463)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (5463)Termination reason: Unknown
% 0.21/0.41 % (5463)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (5463)Memory used [KB]: 5756
% 0.21/0.41 % (5463)Time elapsed: 0.013 s
% 0.21/0.41 % (5463)Instructions burned: 16 (million)
% 0.21/0.41 % (5463)------------------------------
% 0.21/0.41 % (5463)------------------------------
% 0.21/0.41 % (5467)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.41 % (5468)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (5468)Instruction limit reached!
% 0.21/0.42 % (5468)------------------------------
% 0.21/0.42 % (5468)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (5468)Termination reason: Unknown
% 0.21/0.42 % (5468)Termination phase: Twee Goal Transformation
% 0.21/0.42
% 0.21/0.42 % (5468)Memory used [KB]: 1023
% 0.21/0.42 % (5468)Time elapsed: 0.004 s
% 0.21/0.42 % (5468)Instructions burned: 3 (million)
% 0.21/0.42 % (5468)------------------------------
% 0.21/0.42 % (5468)------------------------------
% 0.21/0.42 % (5462)Instruction limit reached!
% 0.21/0.42 % (5462)------------------------------
% 0.21/0.42 % (5462)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (5462)Termination reason: Unknown
% 0.21/0.42 % (5462)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (5462)Memory used [KB]: 5884
% 0.21/0.42 % (5462)Time elapsed: 0.023 s
% 0.21/0.42 % (5462)Instructions burned: 37 (million)
% 0.21/0.42 % (5462)------------------------------
% 0.21/0.42 % (5462)------------------------------
% 0.21/0.42 % (5459)Refutation not found, incomplete strategy
% 0.21/0.42 % (5459)------------------------------
% 0.21/0.42 % (5459)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (5459)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42
% 0.21/0.42 % (5459)Memory used [KB]: 5756
% 0.21/0.42 % (5459)Time elapsed: 0.039 s
% 0.21/0.42 % (5459)Instructions burned: 57 (million)
% 0.21/0.42 % (5459)------------------------------
% 0.21/0.42 % (5459)------------------------------
% 0.21/0.42 % (5469)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (5467)Instruction limit reached!
% 0.21/0.42 % (5467)------------------------------
% 0.21/0.42 % (5467)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (5467)Termination reason: Unknown
% 0.21/0.42 % (5467)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (5467)Memory used [KB]: 5628
% 0.21/0.42 % (5467)Time elapsed: 0.013 s
% 0.21/0.42 % (5467)Instructions burned: 16 (million)
% 0.21/0.42 % (5467)------------------------------
% 0.21/0.42 % (5467)------------------------------
% 0.21/0.42 % (5469)Instruction limit reached!
% 0.21/0.42 % (5469)------------------------------
% 0.21/0.42 % (5469)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (5469)Termination reason: Unknown
% 0.21/0.42 % (5469)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (5469)Memory used [KB]: 1023
% 0.21/0.42 % (5469)Time elapsed: 0.004 s
% 0.21/0.42 % (5469)Instructions burned: 3 (million)
% 0.21/0.42 % (5469)------------------------------
% 0.21/0.42 % (5469)------------------------------
% 0.21/0.42 % (5465)First to succeed.
% 0.21/0.42 % (5470)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.43 % (5465)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43 % (5465)------------------------------
% 0.21/0.43 % (5465)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (5465)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (5465)Memory used [KB]: 5756
% 0.21/0.43 % (5465)Time elapsed: 0.050 s
% 0.21/0.43 % (5465)Instructions burned: 35 (million)
% 0.21/0.43 % (5465)------------------------------
% 0.21/0.43 % (5465)------------------------------
% 0.21/0.43 % (5453)Success in time 0.061 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------