TSTP Solution File: SEV011^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV011^5 : 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 : n008.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 04:11:41 EDT 2024
% Result : Theorem 0.18s 0.40s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 18
% Syntax : Number of formulae : 116 ( 37 unt; 11 typ; 0 def)
% Number of atoms : 721 ( 161 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 1474 ( 91 ~; 84 |; 95 &; 899 @)
% ( 12 <=>; 119 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 84 ( 84 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 15 usr; 15 con; 0-2 aty)
% ( 165 !!; 9 ??; 0 @@+; 0 @@-)
% Number of variables : 262 ( 188 ^ 70 !; 3 ?; 262 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_19,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_20,type,
sK2: a > a > $o ).
thf(func_def_21,type,
sK3: a ).
thf(func_def_22,type,
sK4: a > $o ).
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 ).
thf(func_def_27,type,
sK9: a ).
thf(f378,plain,
$false,
inference(avatar_sat_refutation,[],[f64,f215,f248,f255,f259,f357,f360,f377]) ).
thf(f377,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f376]) ).
thf(f376,plain,
( $false
| ~ spl0_1
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f375]) ).
thf(f375,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f370,f254]) ).
thf(f254,plain,
( ( $false
= ( sK2 @ sK3 @ sK9 ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f253]) ).
thf(f253,plain,
( spl0_14
<=> ( $false
= ( sK2 @ sK3 @ sK9 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
thf(f370,plain,
( ( $true
= ( sK2 @ sK3 @ sK9 ) )
| ~ spl0_1
| ~ spl0_11 ),
inference(boolean_simplification,[],[f363]) ).
thf(f363,plain,
( ( $true
= ( $true
=> ( sK2 @ sK3 @ sK9 ) ) )
| ~ spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f235,f244]) ).
thf(f244,plain,
( ( $true
= ( sK2 @ sK8 @ sK9 ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f243]) ).
thf(f243,plain,
( spl0_11
<=> ( $true
= ( sK2 @ sK8 @ sK9 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
thf(f235,plain,
( ! [X0: a] :
( $true
= ( ( sK2 @ sK8 @ X0 )
=> ( sK2 @ sK3 @ X0 ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f230]) ).
thf(f230,plain,
( ! [X0: a] :
( $true
= ( ( $true
& ( sK2 @ sK8 @ X0 ) )
=> ( sK2 @ sK3 @ X0 ) ) )
| ~ spl0_1 ),
inference(superposition,[],[f42,f224]) ).
thf(f224,plain,
( ( ( sK2 @ sK3 @ sK8 )
= $true )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f222]) ).
thf(f222,plain,
( ( $false
= ( ( sK2 @ sK3 @ sK8 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK8 @ Y0 )
= ( sK2 @ sK3 @ Y0 ) ) ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f218]) ).
thf(f218,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK2 @ sK3 @ Y1 ) ) ) )
@ sK8 ) )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f60]) ).
thf(f60,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK2 @ sK3 @ Y1 ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f59]) ).
thf(f59,plain,
( spl0_1
<=> ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK2 @ sK3 @ Y1 ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f42,plain,
! [X2: a,X3: a,X1: a] :
( $true
= ( ( ( sK2 @ X3 @ X1 )
& ( sK2 @ X1 @ X2 ) )
=> ( sK2 @ X3 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f41]) ).
thf(f41,plain,
! [X2: a,X3: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 @ X1 )
& ( sK2 @ X1 @ X2 ) )
=> ( sK2 @ Y0 @ X2 ) )
@ X3 ) ),
inference(pi_clausification,[],[f38]) ).
thf(f38,plain,
! [X2: a,X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ Y0 @ X1 )
& ( sK2 @ X1 @ X2 ) )
=> ( sK2 @ Y0 @ X2 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f37]) ).
thf(f37,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ Y1 @ X1 )
& ( sK2 @ X1 @ Y0 ) )
=> ( sK2 @ Y1 @ Y0 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f34]) ).
thf(f34,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ Y1 @ X1 )
& ( sK2 @ X1 @ Y0 ) )
=> ( sK2 @ Y1 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f33]) ).
thf(f33,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y0 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK2 @ Y2 @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f32]) ).
thf(f32,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y0 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK2 @ Y2 @ Y1 ) ) ) ) ) ),
inference(boolean_simplification,[],[f31]) ).
thf(f31,plain,
( ( $true
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y0 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK2 @ Y2 @ Y1 ) ) ) ) ) )
= $true ),
inference(backward_demodulation,[],[f17,f30]) ).
thf(f30,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK2 @ Y1 @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK2 @ Y1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y0 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK2 @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f13,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK2 @ Y1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y0 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK2 @ Y2 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[],[f11]) ).
thf(f11,plain,
( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK2 @ Y1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y0 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK2 @ Y2 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f10]) ).
thf(f10,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y1 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
= ( Y3 @ Y5 ) ) ) ) )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[],[f7]) ).
thf(f7,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y1 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
= ( Y3 @ Y5 ) ) ) ) )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y1 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
= ( Y3 @ Y5 ) ) ) ) )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y1 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
= ( Y3 @ Y5 ) ) ) ) )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a > $o] :
( ( ! [X1: a] : ( X0 @ X1 @ X1 )
& ! [X2: a,X3: a,X4: a] :
( ( ( X0 @ X4 @ X3 )
& ( X0 @ X2 @ X4 ) )
=> ( X0 @ X2 @ X3 ) )
& ! [X5: a,X6: a] :
( ( X0 @ X6 @ X5 )
=> ( X0 @ X5 @ X6 ) ) )
=> ! [X7: a] :
? [X8: a > $o] :
( ! [X9: a > $o] :
( ( ( X9 @ X7 )
& ! [X10: a] :
( ( X9 @ X10 )
=> ! [X11: a] :
( ( X0 @ X10 @ X11 )
<=> ( X9 @ X11 ) ) ) )
=> ( X8 = X9 ) )
& ! [X12: a] :
( ( X8 @ X12 )
=> ! [X13: a] :
( ( X0 @ X12 @ X13 )
<=> ( X8 @ X13 ) ) )
& ( X8 @ X7 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > $o] :
( ( ! [X1: a] : ( X0 @ X1 @ X1 )
& ! [X1: a,X3: a,X2: a] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X1 @ X3 ) )
& ! [X2: a,X1: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) )
=> ! [X1: a] :
? [X4: a > $o] :
( ! [X6: a > $o] :
( ( ( X6 @ X1 )
& ! [X5: a] :
( ( X6 @ X5 )
=> ! [X2: a] :
( ( X0 @ X5 @ X2 )
<=> ( X6 @ X2 ) ) ) )
=> ( X4 = X6 ) )
& ! [X5: a] :
( ( X4 @ X5 )
=> ! [X2: a] :
( ( X0 @ X5 @ X2 )
<=> ( X4 @ X2 ) ) )
& ( X4 @ X1 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > $o] :
( ( ! [X1: a] : ( X0 @ X1 @ X1 )
& ! [X1: a,X3: a,X2: a] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X1 @ X3 ) )
& ! [X2: a,X1: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) )
=> ! [X1: a] :
? [X4: a > $o] :
( ! [X6: a > $o] :
( ( ( X6 @ X1 )
& ! [X5: a] :
( ( X6 @ X5 )
=> ! [X2: a] :
( ( X0 @ X5 @ X2 )
<=> ( X6 @ X2 ) ) ) )
=> ( X4 = X6 ) )
& ! [X5: a] :
( ( X4 @ X5 )
=> ! [X2: a] :
( ( X0 @ X5 @ X2 )
<=> ( X4 @ X2 ) ) )
& ( X4 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM260_B_pme) ).
thf(f360,plain,
( ~ spl0_12
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f359]) ).
thf(f359,plain,
( $false
| ~ spl0_12
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f358]) ).
thf(f358,plain,
( ( $true = $false )
| ~ spl0_12
| ~ spl0_14 ),
inference(backward_demodulation,[],[f247,f254]) ).
thf(f247,plain,
( ( $true
= ( sK2 @ sK3 @ sK9 ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f246]) ).
thf(f246,plain,
( spl0_12
<=> ( $true
= ( sK2 @ sK3 @ sK9 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
thf(f357,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f356]) ).
thf(f356,plain,
( $false
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f355]) ).
thf(f355,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f347,f308]) ).
thf(f308,plain,
( ( $false
= ( sK2 @ sK9 @ sK8 ) )
| ~ spl0_13 ),
inference(not_proxy_clausification,[],[f280]) ).
thf(f280,plain,
( ( $true
= ( ~ ( sK2 @ sK9 @ sK8 ) ) )
| ~ spl0_13 ),
inference(boolean_simplification,[],[f276]) ).
thf(f276,plain,
( ( $true
= ( ( sK2 @ sK9 @ sK8 )
=> $false ) )
| ~ spl0_13 ),
inference(superposition,[],[f40,f251]) ).
thf(f251,plain,
( ( $false
= ( sK2 @ sK8 @ sK9 ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f250]) ).
thf(f250,plain,
( spl0_13
<=> ( $false
= ( sK2 @ sK8 @ sK9 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
thf(f40,plain,
! [X2: a,X1: a] :
( $true
= ( ( sK2 @ X1 @ X2 )
=> ( sK2 @ X2 @ X1 ) ) ),
inference(beta_eta_normalization,[],[f39]) ).
thf(f39,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK2 @ Y0 @ X1 ) )
@ X2 ) ),
inference(pi_clausification,[],[f36]) ).
thf(f36,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK2 @ Y0 @ X1 ) ) ) ),
inference(beta_eta_normalization,[],[f35]) ).
thf(f35,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK2 @ Y1 @ Y0 ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f30]) ).
thf(f347,plain,
( ( $true
= ( sK2 @ sK9 @ sK8 ) )
| ~ spl0_1
| ~ spl0_12 ),
inference(boolean_simplification,[],[f343]) ).
thf(f343,plain,
( ( $true
= ( $true
=> ( sK2 @ sK9 @ sK8 ) ) )
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f237,f269]) ).
thf(f269,plain,
( ( $true
= ( sK2 @ sK9 @ sK3 ) )
| ~ spl0_12 ),
inference(boolean_simplification,[],[f265]) ).
thf(f265,plain,
( ( $true
= ( $true
=> ( sK2 @ sK9 @ sK3 ) ) )
| ~ spl0_12 ),
inference(superposition,[],[f40,f247]) ).
thf(f237,plain,
( ! [X0: a] :
( $true
= ( ( sK2 @ X0 @ sK3 )
=> ( sK2 @ X0 @ sK8 ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f231]) ).
thf(f231,plain,
( ! [X0: a] :
( $true
= ( ( ( sK2 @ X0 @ sK3 )
& $true )
=> ( sK2 @ X0 @ sK8 ) ) )
| ~ spl0_1 ),
inference(superposition,[],[f42,f224]) ).
thf(f259,plain,
( ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f258]) ).
thf(f258,plain,
( $false
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f257]) ).
thf(f257,plain,
( ( $true = $false )
| ~ spl0_11
| ~ spl0_13 ),
inference(backward_demodulation,[],[f244,f251]) ).
thf(f255,plain,
( spl0_13
| spl0_14
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f241,f59,f253,f250]) ).
thf(f241,plain,
( ( $false
= ( sK2 @ sK3 @ sK9 ) )
| ( $false
= ( sK2 @ sK8 @ sK9 ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f229]) ).
thf(f229,plain,
( ( ( sK2 @ sK8 @ sK9 )
!= ( sK2 @ sK3 @ sK9 ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f228]) ).
thf(f228,plain,
( ( $false
= ( ( sK2 @ sK8 @ sK9 )
= ( sK2 @ sK3 @ sK9 ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f227]) ).
thf(f227,plain,
( ( ( ^ [Y0: a] :
( ( sK2 @ sK8 @ Y0 )
= ( sK2 @ sK3 @ Y0 ) )
@ sK9 )
= $false )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f226]) ).
thf(f226,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK8 @ Y0 )
= ( sK2 @ sK3 @ Y0 ) ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f225]) ).
thf(f225,plain,
( ( ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK8 @ Y0 )
= ( sK2 @ sK3 @ Y0 ) ) ) )
= $false )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f222,f224]) ).
thf(f248,plain,
( spl0_11
| spl0_12
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f240,f59,f246,f243]) ).
thf(f240,plain,
( ( $true
= ( sK2 @ sK3 @ sK9 ) )
| ( $true
= ( sK2 @ sK8 @ sK9 ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f229]) ).
thf(f215,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f214]) ).
thf(f214,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f78,f183]) ).
thf(f183,plain,
( ! [X1: a] :
( ( sK2 @ sK3 @ X1 )
= ( sK4 @ X1 ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f182]) ).
thf(f182,plain,
( ! [X1: a] :
( $true
= ( ( sK2 @ sK3 @ X1 )
= ( sK4 @ X1 ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f179]) ).
thf(f179,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK4 @ Y0 ) )
@ X1 ) )
| ~ spl0_2 ),
inference(pi_clausification,[],[f124]) ).
thf(f124,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK4 @ Y0 ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f122]) ).
thf(f122,plain,
( ( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK4 @ Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(superposition,[],[f108,f82]) ).
thf(f82,plain,
( ( $true
= ( sK4 @ sK3 ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f81]) ).
thf(f81,plain,
( ( $true
= ( $true
& ( sK4 @ sK3 ) ) )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f72,f80]) ).
thf(f80,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK4 @ Y1 ) ) ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f72]) ).
thf(f72,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK4 @ Y1 ) ) ) ) )
& ( sK4 @ sK3 ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f69]) ).
thf(f69,plain,
( ( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK4 @ Y1 ) ) ) ) )
& ( sK4 @ sK3 ) )
=> ( ( sK2 @ sK3 )
= sK4 ) )
= $false )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f67]) ).
thf(f67,plain,
( ( ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) )
@ sK4 )
= $false )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f63]) ).
thf(f63,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f62]) ).
thf(f62,plain,
( spl0_2
<=> ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f108,plain,
( ! [X1: a] :
( $true
= ( ( sK4 @ X1 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
= ( sK4 @ Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f105]) ).
thf(f105,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK4 @ Y1 ) ) ) )
@ X1 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f80]) ).
thf(f78,plain,
( ( ( sK4 @ sK5 )
!= ( sK2 @ sK3 @ sK5 ) )
| ~ spl0_2 ),
inference(negative_extensionality,[],[f77]) ).
thf(f77,plain,
( ( sK4
!= ( sK2 @ sK3 ) )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f71]) ).
thf(f71,plain,
( ( $false
= ( ( sK2 @ sK3 )
= sK4 ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f69]) ).
thf(f64,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f57,f62,f59]) ).
thf(f57,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK2 @ sK3 @ Y1 ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f28]) ).
thf(f28,plain,
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK2 @ sK3 @ Y1 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f27]) ).
thf(f27,plain,
( ( $true
& ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK2 @ sK3 @ Y1 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) ) )
= $false ),
inference(superposition,[],[f25,f23]) ).
thf(f23,plain,
! [X1: a] :
( $true
= ( sK2 @ X1 @ X1 ) ),
inference(beta_eta_normalization,[],[f22]) ).
thf(f22,plain,
! [X1: a] :
( ( ^ [Y0: a] : ( sK2 @ Y0 @ Y0 )
@ X1 )
= $true ),
inference(pi_clausification,[],[f19]) ).
thf(f19,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) ) ),
inference(boolean_simplification,[],[f18]) ).
thf(f18,plain,
( $true
= ( $true
& ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) ) ) ),
inference(backward_demodulation,[],[f13,f17]) ).
thf(f25,plain,
! [X1: a > $o] :
( $false
= ( ( X1 @ sK3 )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( X1 @ Y1 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 ) )
=> ( X1 = Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f24]) ).
thf(f24,plain,
! [X1: a > $o] :
( $false
= ( ^ [Y0: a > $o] :
( ( Y0 @ sK3 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) )
& ( Y1 @ sK3 ) )
=> ( Y0 = Y1 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f21]) ).
thf(f21,plain,
( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK3 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) )
& ( Y1 @ sK3 ) )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f20]) ).
thf(f20,plain,
( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) ) ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[],[f15]) ).
thf(f15,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f14]) ).
thf(f14,plain,
( ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) ) ) ) ) )
= $false ),
inference(backward_demodulation,[],[f11,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SEV011^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.13 % 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
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 19:11:37 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a TH0_THM_EQU_NAR problem
% 0.12/0.33 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % (6548)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.12/0.35 % (6552)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)
% 0.12/0.35 % (6552)Instruction limit reached!
% 0.12/0.35 % (6552)------------------------------
% 0.12/0.35 % (6552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (6552)Termination reason: Unknown
% 0.12/0.35 % (6552)Termination phase: Saturation
% 0.12/0.35
% 0.12/0.35 % (6552)Memory used [KB]: 5500
% 0.12/0.35 % (6552)Time elapsed: 0.003 s
% 0.12/0.35 % (6552)Instructions burned: 4 (million)
% 0.12/0.35 % (6552)------------------------------
% 0.12/0.35 % (6552)------------------------------
% 0.12/0.35 % (6549)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)
% 0.12/0.35 % (6549)Instruction limit reached!
% 0.12/0.35 % (6549)------------------------------
% 0.12/0.35 % (6549)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (6549)Termination reason: Unknown
% 0.12/0.35 % (6549)Termination phase: Saturation
% 0.12/0.35
% 0.12/0.35 % (6549)Memory used [KB]: 5500
% 0.12/0.35 % (6549)Time elapsed: 0.003 s
% 0.12/0.35 % (6549)Instructions burned: 4 (million)
% 0.12/0.35 % (6549)------------------------------
% 0.12/0.35 % (6549)------------------------------
% 0.12/0.35 % (6553)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)
% 0.12/0.35 % (6554)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.12/0.35 % (6555)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)
% 0.12/0.35 % (6555)Instruction limit reached!
% 0.12/0.35 % (6555)------------------------------
% 0.12/0.35 % (6555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (6555)Termination reason: Unknown
% 0.12/0.35 % (6555)Termination phase: Saturation
% 0.12/0.35
% 0.12/0.35 % (6555)Memory used [KB]: 5500
% 0.12/0.35 % (6555)Time elapsed: 0.003 s
% 0.12/0.35 % (6555)Instructions burned: 3 (million)
% 0.12/0.35 % (6555)------------------------------
% 0.12/0.35 % (6555)------------------------------
% 0.12/0.36 % (6551)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.12/0.36 % (6556)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)
% 0.12/0.36 % (6551)Instruction limit reached!
% 0.12/0.36 % (6551)------------------------------
% 0.12/0.36 % (6551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (6551)Termination reason: Unknown
% 0.12/0.36 % (6551)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (6551)Memory used [KB]: 1023
% 0.12/0.36 % (6551)Time elapsed: 0.002 s
% 0.12/0.36 % (6551)Instructions burned: 2 (million)
% 0.12/0.36 % (6551)------------------------------
% 0.12/0.36 % (6551)------------------------------
% 0.12/0.36 % (6550)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)
% 0.12/0.36 % (6554)Instruction limit reached!
% 0.12/0.36 % (6554)------------------------------
% 0.12/0.36 % (6554)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (6554)Termination reason: Unknown
% 0.12/0.36 % (6554)Termination phase: Saturation
% 0.12/0.36
% 0.12/0.36 % (6554)Memory used [KB]: 5628
% 0.12/0.36 % (6554)Time elapsed: 0.012 s
% 0.12/0.36 % (6554)Instructions burned: 19 (million)
% 0.12/0.36 % (6554)------------------------------
% 0.12/0.36 % (6554)------------------------------
% 0.18/0.36 % (6557)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)
% 0.18/0.37 % (6558)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)
% 0.18/0.37 % (6558)Instruction limit reached!
% 0.18/0.37 % (6558)------------------------------
% 0.18/0.37 % (6558)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.37 % (6558)Termination reason: Unknown
% 0.18/0.37 % (6558)Termination phase: Saturation
% 0.18/0.37
% 0.18/0.37 % (6558)Memory used [KB]: 5500
% 0.18/0.37 % (6558)Time elapsed: 0.003 s
% 0.18/0.37 % (6558)Instructions burned: 3 (million)
% 0.18/0.37 % (6558)------------------------------
% 0.18/0.37 % (6558)------------------------------
% 0.18/0.37 % (6556)Instruction limit reached!
% 0.18/0.37 % (6556)------------------------------
% 0.18/0.37 % (6556)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.37 % (6556)Termination reason: Unknown
% 0.18/0.37 % (6556)Termination phase: Saturation
% 0.18/0.37
% 0.18/0.37 % (6556)Memory used [KB]: 5884
% 0.18/0.37 % (6556)Time elapsed: 0.014 s
% 0.18/0.37 % (6556)Instructions burned: 37 (million)
% 0.18/0.37 % (6556)------------------------------
% 0.18/0.37 % (6556)------------------------------
% 0.18/0.37 % (6550)Instruction limit reached!
% 0.18/0.37 % (6550)------------------------------
% 0.18/0.37 % (6550)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.37 % (6550)Termination reason: Unknown
% 0.18/0.37 % (6550)Termination phase: Saturation
% 0.18/0.37
% 0.18/0.37 % (6550)Memory used [KB]: 5756
% 0.18/0.37 % (6550)Time elapsed: 0.013 s
% 0.18/0.37 % (6550)Instructions burned: 28 (million)
% 0.18/0.37 % (6550)------------------------------
% 0.18/0.37 % (6550)------------------------------
% 0.18/0.37 % (6557)Instruction limit reached!
% 0.18/0.37 % (6557)------------------------------
% 0.18/0.37 % (6557)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.37 % (6557)Termination reason: Unknown
% 0.18/0.37 % (6557)Termination phase: Saturation
% 0.18/0.37
% 0.18/0.37 % (6557)Memory used [KB]: 5628
% 0.18/0.37 % (6557)Time elapsed: 0.009 s
% 0.18/0.37 % (6557)Instructions burned: 15 (million)
% 0.18/0.37 % (6557)------------------------------
% 0.18/0.37 % (6557)------------------------------
% 0.18/0.37 % (6560)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.38 % (6559)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)
% 0.18/0.38 % (6561)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.38 % (6562)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)
% 0.18/0.38 % (6563)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)
% 0.18/0.38 % (6560)Instruction limit reached!
% 0.18/0.38 % (6560)------------------------------
% 0.18/0.38 % (6560)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (6560)Termination reason: Unknown
% 0.18/0.38 % (6560)Termination phase: Saturation
% 0.18/0.38
% 0.18/0.38 % (6560)Memory used [KB]: 1023
% 0.18/0.38 % (6560)Time elapsed: 0.005 s
% 0.18/0.38 % (6560)Instructions burned: 7 (million)
% 0.18/0.38 % (6560)------------------------------
% 0.18/0.38 % (6560)------------------------------
% 0.18/0.38 % (6562)Instruction limit reached!
% 0.18/0.38 % (6562)------------------------------
% 0.18/0.38 % (6562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (6562)Termination reason: Unknown
% 0.18/0.38 % (6562)Termination phase: Property scanning
% 0.18/0.38
% 0.18/0.38 % (6562)Memory used [KB]: 1023
% 0.18/0.38 % (6562)Time elapsed: 0.002 s
% 0.18/0.38 % (6562)Instructions burned: 4 (million)
% 0.18/0.38 % (6562)------------------------------
% 0.18/0.38 % (6562)------------------------------
% 0.18/0.38 % (6563)Instruction limit reached!
% 0.18/0.38 % (6563)------------------------------
% 0.18/0.38 % (6563)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (6563)Termination reason: Unknown
% 0.18/0.38 % (6563)Termination phase: Saturation
% 0.18/0.38
% 0.18/0.38 % (6563)Memory used [KB]: 1023
% 0.18/0.38 % (6563)Time elapsed: 0.004 s
% 0.18/0.38 % (6563)Instructions burned: 4 (million)
% 0.18/0.38 % (6563)------------------------------
% 0.18/0.38 % (6563)------------------------------
% 0.18/0.38 % (6561)Instruction limit reached!
% 0.18/0.38 % (6561)------------------------------
% 0.18/0.38 % (6561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (6561)Termination reason: Unknown
% 0.18/0.38 % (6561)Termination phase: Saturation
% 0.18/0.38
% 0.18/0.38 % (6561)Memory used [KB]: 5628
% 0.18/0.38 % (6561)Time elapsed: 0.007 s
% 0.18/0.38 % (6561)Instructions burned: 16 (million)
% 0.18/0.38 % (6561)------------------------------
% 0.18/0.38 % (6561)------------------------------
% 0.18/0.39 % (6565)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.39 % (6565)Instruction limit reached!
% 0.18/0.39 % (6565)------------------------------
% 0.18/0.39 % (6565)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.39 % (6565)Termination reason: Unknown
% 0.18/0.39 % (6565)Termination phase: Property scanning
% 0.18/0.39
% 0.18/0.39 % (6565)Memory used [KB]: 895
% 0.18/0.39 % (6565)Time elapsed: 0.002 s
% 0.18/0.39 % (6565)Instructions burned: 3 (million)
% 0.18/0.39 % (6565)------------------------------
% 0.18/0.39 % (6565)------------------------------
% 0.18/0.39 % (6564)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)
% 0.18/0.39 % (6567)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.18/0.39 % (6564)Instruction limit reached!
% 0.18/0.39 % (6564)------------------------------
% 0.18/0.39 % (6564)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.39 % (6564)Termination reason: Unknown
% 0.18/0.39 % (6564)Termination phase: Saturation
% 0.18/0.39
% 0.18/0.39 % (6564)Memory used [KB]: 5500
% 0.18/0.39 % (6564)Time elapsed: 0.005 s
% 0.18/0.39 % (6564)Instructions burned: 7 (million)
% 0.18/0.39 % (6564)------------------------------
% 0.18/0.39 % (6564)------------------------------
% 0.18/0.39 % (6566)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.39 % (6568)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.18/0.39 % (6566)Instruction limit reached!
% 0.18/0.39 % (6566)------------------------------
% 0.18/0.39 % (6566)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.39 % (6566)Termination reason: Unknown
% 0.18/0.39 % (6566)Termination phase: Saturation
% 0.18/0.39
% 0.18/0.39 % (6566)Memory used [KB]: 5500
% 0.18/0.39 % (6566)Time elapsed: 0.004 s
% 0.18/0.39 % (6566)Instructions burned: 5 (million)
% 0.18/0.39 % (6566)------------------------------
% 0.18/0.39 % (6566)------------------------------
% 0.18/0.40 % (6567)Instruction limit reached!
% 0.18/0.40 % (6567)------------------------------
% 0.18/0.40 % (6567)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.40 % (6567)Termination reason: Unknown
% 0.18/0.40 % (6567)Termination phase: Saturation
% 0.18/0.40
% 0.18/0.40 % (6567)Memory used [KB]: 5500
% 0.18/0.40 % (6567)Time elapsed: 0.011 s
% 0.18/0.40 % (6567)Instructions burned: 18 (million)
% 0.18/0.40 % (6567)------------------------------
% 0.18/0.40 % (6567)------------------------------
% 0.18/0.40 % (6559)First to succeed.
% 0.18/0.40 % (6569)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.40 % (6559)Refutation found. Thanks to Tanya!
% 0.18/0.40 % SZS status Theorem for theBenchmark
% 0.18/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.40 % (6559)------------------------------
% 0.18/0.40 % (6559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.40 % (6559)Termination reason: Refutation
% 0.18/0.40
% 0.18/0.40 % (6559)Memory used [KB]: 5884
% 0.18/0.40 % (6559)Time elapsed: 0.029 s
% 0.18/0.40 % (6559)Instructions burned: 53 (million)
% 0.18/0.40 % (6559)------------------------------
% 0.18/0.40 % (6559)------------------------------
% 0.18/0.40 % (6547)Success in time 0.052 s
% 0.18/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------