TSTP Solution File: SEV011^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV011^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:41:01 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 16
% Syntax : Number of formulae : 108 ( 37 unt; 9 typ; 0 def)
% Number of atoms : 706 ( 158 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 1471 ( 80 ~; 74 |; 96 &; 910 @)
% ( 12 <=>; 121 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 83 ( 83 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 13 usr; 14 con; 0-2 aty)
% ( 169 !!; 9 ??; 0 @@+; 0 @@-)
% Number of variables : 266 ( 192 ^ 70 !; 3 ?; 266 :)
% ( 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 ).
thf(func_def_25,type,
sK7: a ).
thf(f312,plain,
$false,
inference(avatar_sat_refutation,[],[f64,f155,f201,f208,f259,f262,f307]) ).
thf(f307,plain,
( spl0_9
| ~ spl0_1
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f297,f206,f59,f203]) ).
thf(f203,plain,
( spl0_9
<=> ( $true
= ( sK2 @ sK3 @ sK7 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f59,plain,
( spl0_1
<=> ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f206,plain,
( spl0_10
<=> ( ( sK2 @ sK6 @ sK7 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
thf(f297,plain,
( ( $true
= ( sK2 @ sK3 @ sK7 ) )
| ~ spl0_1
| ~ spl0_10 ),
inference(boolean_simplification,[],[f293]) ).
thf(f293,plain,
( ( $true
= ( $true
=> ( sK2 @ sK3 @ sK7 ) ) )
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f177,f207]) ).
thf(f207,plain,
( ( ( sK2 @ sK6 @ sK7 )
= $true )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f206]) ).
thf(f177,plain,
( ! [X0: a] :
( $true
= ( ( sK2 @ sK6 @ X0 )
=> ( sK2 @ sK3 @ X0 ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f169]) ).
thf(f169,plain,
( ! [X0: a] :
( $true
= ( ( ( sK2 @ sK6 @ X0 )
& $true )
=> ( sK2 @ sK3 @ X0 ) ) )
| ~ spl0_1 ),
inference(superposition,[],[f47,f163]) ).
thf(f163,plain,
( ( $true
= ( sK2 @ sK3 @ sK6 ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f161]) ).
thf(f161,plain,
( ( $false
= ( ( sK2 @ sK3 @ sK6 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK2 @ sK6 @ Y0 ) ) ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f158]) ).
thf(f158,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) )
@ sK6 ) )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f60]) ).
thf(f60,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f59]) ).
thf(f47,plain,
! [X2: a,X3: a,X1: a] :
( $true
= ( ( ( sK2 @ X3 @ X2 )
& ( sK2 @ X1 @ X3 ) )
=> ( sK2 @ X1 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f46]) ).
thf(f46,plain,
! [X2: a,X3: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 @ X2 )
& ( sK2 @ X1 @ Y0 ) )
=> ( sK2 @ X1 @ X2 ) )
@ X3 ) ),
inference(pi_clausification,[],[f45]) ).
thf(f45,plain,
! [X2: a,X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ Y0 @ X2 )
& ( sK2 @ X1 @ Y0 ) )
=> ( sK2 @ X1 @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f44]) ).
thf(f44,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ Y1 @ Y0 )
& ( sK2 @ X1 @ Y1 ) )
=> ( sK2 @ X1 @ Y0 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f43]) ).
thf(f43,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ Y1 @ Y0 )
& ( sK2 @ X1 @ Y1 ) )
=> ( sK2 @ X1 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f42]) ).
thf(f42,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y1 )
& ( sK2 @ Y0 @ Y2 ) )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f29]) ).
thf(f29,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y1 )
& ( sK2 @ Y0 @ Y2 ) )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f19,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 @ Y1 )
& ( sK2 @ Y0 @ Y2 ) )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f18]) ).
thf(f18,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 @ Y1 )
& ( sK2 @ Y0 @ Y2 ) )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) )
& $true ) ),
inference(backward_demodulation,[],[f13,f16]) ).
thf(f16,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) ) ),
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 @ Y1 )
& ( sK2 @ Y0 @ Y2 ) )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[],[f11]) ).
thf(f11,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK2 @ Y1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y1 )
& ( sK2 @ Y0 @ Y2 ) )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) ) ) ) ) )
= $false ),
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 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
= ( Y3 @ Y5 ) ) ) ) )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[],[f7]) ).
thf(f7,plain,
( ( !! @ ( 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 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
= ( Y3 @ Y5 ) ) ) ) )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) )
= $false ),
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 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
= ( Y3 @ Y5 ) ) ) ) )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
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 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
= ( Y3 @ Y5 ) ) ) ) )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a > $o] :
( ( ! [X1: a] : ( X0 @ X1 @ X1 )
& ! [X2: a,X3: a,X4: a] :
( ( ( X0 @ X4 @ X2 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X4 @ X3 ) )
& ! [X5: a,X6: a] :
( ( X0 @ X6 @ X5 )
=> ( X0 @ X5 @ X6 ) ) )
=> ! [X7: a] :
? [X8: a > $o] :
( ! [X9: a] :
( ( X8 @ X9 )
=> ! [X10: a] :
( ( X8 @ X10 )
<=> ( X0 @ X9 @ X10 ) ) )
& ! [X11: a > $o] :
( ( ( X11 @ X7 )
& ! [X12: a] :
( ( X11 @ X12 )
=> ! [X13: a] :
( ( X0 @ X12 @ X13 )
<=> ( X11 @ X13 ) ) ) )
=> ( X8 = X11 ) )
& ( X8 @ X7 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > $o] :
( ( ! [X1: a] : ( X0 @ X1 @ X1 )
& ! [X2: a,X3: a,X1: a] :
( ( ( X0 @ X1 @ X2 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X1 @ X3 ) )
& ! [X2: a,X1: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) )
=> ! [X1: a] :
? [X4: a > $o] :
( ! [X5: a] :
( ( X4 @ X5 )
=> ! [X2: a] :
( ( X4 @ X2 )
<=> ( X0 @ X5 @ X2 ) ) )
& ! [X6: a > $o] :
( ( ( X6 @ X1 )
& ! [X5: a] :
( ( X6 @ X5 )
=> ! [X2: a] :
( ( X0 @ X5 @ X2 )
<=> ( X6 @ X2 ) ) ) )
=> ( X4 = X6 ) )
& ( X4 @ X1 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > $o] :
( ( ! [X1: a] : ( X0 @ X1 @ X1 )
& ! [X2: a,X3: a,X1: a] :
( ( ( X0 @ X1 @ X2 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X1 @ X3 ) )
& ! [X2: a,X1: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) )
=> ! [X1: a] :
? [X4: a > $o] :
( ! [X5: a] :
( ( X4 @ X5 )
=> ! [X2: a] :
( ( X4 @ X2 )
<=> ( X0 @ X5 @ X2 ) ) )
& ! [X6: a > $o] :
( ( ( X6 @ X1 )
& ! [X5: a] :
( ( X6 @ X5 )
=> ! [X2: a] :
( ( X0 @ X5 @ X2 )
<=> ( X6 @ X2 ) ) ) )
=> ( X4 = X6 ) )
& ( X4 @ X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jO7fID4V71/Vampire---4.8_9063',cTHM260_B_pme) ).
thf(f262,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f261]) ).
thf(f261,plain,
( $false
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f260]) ).
thf(f260,plain,
( ( $true = $false )
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f204,f200]) ).
thf(f200,plain,
( ( $false
= ( sK2 @ sK3 @ sK7 ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f199]) ).
thf(f199,plain,
( spl0_8
<=> ( $false
= ( sK2 @ sK3 @ sK7 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
thf(f204,plain,
( ( $true
= ( sK2 @ sK3 @ sK7 ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f203]) ).
thf(f259,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f258]) ).
thf(f258,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f257]) ).
thf(f257,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(boolean_simplification,[],[f256]) ).
thf(f256,plain,
( ( $true = ~ $true )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f222,f251]) ).
thf(f251,plain,
( ( $true
= ( sK2 @ sK7 @ sK6 ) )
| ~ spl0_1
| ~ spl0_9 ),
inference(boolean_simplification,[],[f249]) ).
thf(f249,plain,
( ( $true
= ( $true
=> ( sK2 @ sK7 @ sK6 ) ) )
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f174,f232]) ).
thf(f232,plain,
( ( ( sK2 @ sK7 @ sK3 )
= $true )
| ~ spl0_9 ),
inference(boolean_simplification,[],[f226]) ).
thf(f226,plain,
( ( $true
= ( $true
=> ( sK2 @ sK7 @ sK3 ) ) )
| ~ spl0_9 ),
inference(superposition,[],[f36,f204]) ).
thf(f36,plain,
! [X2: a,X1: a] :
( $true
= ( ( sK2 @ X1 @ X2 )
=> ( sK2 @ X2 @ X1 ) ) ),
inference(beta_eta_normalization,[],[f35]) ).
thf(f35,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK2 @ Y0 @ X1 ) )
@ X2 ) ),
inference(pi_clausification,[],[f34]) ).
thf(f34,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK2 @ Y0 @ X1 ) ) ) ),
inference(beta_eta_normalization,[],[f33]) ).
thf(f33,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK2 @ Y1 @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f32]) ).
thf(f32,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK2 @ Y1 @ Y0 ) ) ) )
= $true ),
inference(boolean_simplification,[],[f31]) ).
thf(f31,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK2 @ Y1 @ Y0 ) ) ) )
& $true )
= $true ),
inference(backward_demodulation,[],[f19,f29]) ).
thf(f174,plain,
( ! [X0: a] :
( $true
= ( ( sK2 @ X0 @ sK3 )
=> ( sK2 @ X0 @ sK6 ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f168]) ).
thf(f168,plain,
( ! [X0: a] :
( $true
= ( ( $true
& ( sK2 @ X0 @ sK3 ) )
=> ( sK2 @ X0 @ sK6 ) ) )
| ~ spl0_1 ),
inference(superposition,[],[f47,f163]) ).
thf(f222,plain,
( ( $true
= ( ~ ( sK2 @ sK7 @ sK6 ) ) )
| ~ spl0_7 ),
inference(boolean_simplification,[],[f215]) ).
thf(f215,plain,
( ( $true
= ( ( sK2 @ sK7 @ sK6 )
=> $false ) )
| ~ spl0_7 ),
inference(superposition,[],[f36,f197]) ).
thf(f197,plain,
( ( ( sK2 @ sK6 @ sK7 )
= $false )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f196]) ).
thf(f196,plain,
( spl0_7
<=> ( ( sK2 @ sK6 @ sK7 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f208,plain,
( spl0_9
| spl0_10
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f193,f59,f206,f203]) ).
thf(f193,plain,
( ( ( sK2 @ sK6 @ sK7 )
= $true )
| ( $true
= ( sK2 @ sK3 @ sK7 ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f180]) ).
thf(f180,plain,
( ( ( sK2 @ sK6 @ sK7 )
!= ( sK2 @ sK3 @ sK7 ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f179]) ).
thf(f179,plain,
( ( ( ( sK2 @ sK3 @ sK7 )
= ( sK2 @ sK6 @ sK7 ) )
= $false )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f178]) ).
thf(f178,plain,
( ( ( ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK2 @ sK6 @ Y0 ) )
@ sK7 )
= $false )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f162]) ).
thf(f162,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK2 @ sK6 @ Y0 ) ) )
= $false )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f161]) ).
thf(f201,plain,
( spl0_7
| spl0_8
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f194,f59,f199,f196]) ).
thf(f194,plain,
( ( $false
= ( sK2 @ sK3 @ sK7 ) )
| ( ( sK2 @ sK6 @ sK7 )
= $false )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f180]) ).
thf(f155,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f154]) ).
thf(f154,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f79,f127]) ).
thf(f127,plain,
( ! [X1: a] :
( ( sK2 @ sK3 @ X1 )
= ( sK4 @ X1 ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f126]) ).
thf(f126,plain,
( ! [X1: a] :
( $true
= ( ( sK2 @ sK3 @ X1 )
= ( sK4 @ X1 ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f123]) ).
thf(f123,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK4 @ Y0 ) )
@ X1 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f107]) ).
thf(f107,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK4 @ Y0 ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f106]) ).
thf(f106,plain,
( ( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK4 @ Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(superposition,[],[f87,f80]) ).
thf(f80,plain,
( ( $true
= ( sK4 @ sK3 ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f73]) ).
thf(f73,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK4 @ Y1 ) ) ) ) )
& ( sK4 @ sK3 ) )
= $true )
| ~ 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,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) )
= $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f62]) ).
thf(f62,plain,
( spl0_2
<=> ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f87,plain,
( ! [X1: a] :
( $true
= ( ( sK4 @ X1 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
= ( sK4 @ Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f86]) ).
thf(f86,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK4 @ Y1 ) ) ) )
@ X1 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f83]) ).
thf(f83,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK4 @ Y1 ) ) ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f82]) ).
thf(f82,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
= ( sK4 @ Y1 ) ) ) ) )
& $true ) )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f73,f80]) ).
thf(f79,plain,
( ( ( sK4 @ sK5 )
!= ( sK2 @ sK3 @ sK5 ) )
| ~ spl0_2 ),
inference(negative_extensionality,[],[f78]) ).
thf(f78,plain,
( ( ( sK2 @ sK3 )
!= sK4 )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f72]) ).
thf(f72,plain,
( ( ( ( sK2 @ sK3 )
= sK4 )
= $false )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f69]) ).
thf(f64,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f57,f62,f59]) ).
thf(f57,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f28]) ).
thf(f28,plain,
( ( ( !! @ ( 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 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) )
= $false ),
inference(boolean_simplification,[],[f27]) ).
thf(f27,plain,
( $false
= ( $true
& ( !! @ ( 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 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(superposition,[],[f25,f23]) ).
thf(f23,plain,
! [X1: a] :
( $true
= ( sK2 @ X1 @ X1 ) ),
inference(beta_eta_normalization,[],[f22]) ).
thf(f22,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] : ( sK2 @ Y0 @ Y0 )
@ X1 ) ),
inference(pi_clausification,[],[f16]) ).
thf(f25,plain,
! [X1: a > $o] :
( ( ( X1 @ sK3 )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 ) )
=> ( X1 = Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f24]) ).
thf(f24,plain,
! [X1: a > $o] :
( $false
= ( ^ [Y0: a > $o] :
( ( Y0 @ sK3 )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) )
& ( Y1 @ sK3 ) )
=> ( Y0 = Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f21]) ).
thf(f21,plain,
( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK3 )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) )
& ( Y1 @ sK3 ) )
=> ( Y0 = Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f20]) ).
thf(f20,plain,
( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) ) ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[],[f15]) ).
thf(f15,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) ) ) ) )
= $false ),
inference(boolean_simplification,[],[f14]) ).
thf(f14,plain,
( ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) ) ) ) ) )
= $false ),
inference(backward_demodulation,[],[f11,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV011^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % 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
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 11:58:49 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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/tmp/tmp.jO7fID4V71/Vampire---4.8_9063
% 0.14/0.37 % (9223)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.14/0.37 % (9228)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.14/0.37 % (9224)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.14/0.37 % (9229)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.37 % (9230)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.38 % (9225)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.14/0.38 % (9226)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (9227)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (9226)Instruction limit reached!
% 0.14/0.38 % (9226)------------------------------
% 0.14/0.38 % (9226)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (9226)Termination reason: Unknown
% 0.14/0.38 % (9226)Termination phase: Property scanning
% 0.14/0.38 % (9227)Instruction limit reached!
% 0.14/0.38 % (9227)------------------------------
% 0.14/0.38 % (9227)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38
% 0.14/0.38 % (9226)Memory used [KB]: 1023
% 0.14/0.38 % (9226)Time elapsed: 0.004 s
% 0.14/0.38 % (9226)Instructions burned: 2 (million)
% 0.14/0.38 % (9226)------------------------------
% 0.14/0.38 % (9226)------------------------------
% 0.14/0.38 % (9227)Termination reason: Unknown
% 0.14/0.38 % (9227)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (9227)Memory used [KB]: 895
% 0.14/0.38 % (9227)Time elapsed: 0.004 s
% 0.14/0.38 % (9227)Instructions burned: 2 (million)
% 0.14/0.38 % (9227)------------------------------
% 0.14/0.38 % (9227)------------------------------
% 0.14/0.38 % (9230)Instruction limit reached!
% 0.14/0.38 % (9230)------------------------------
% 0.14/0.38 % (9230)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (9230)Termination reason: Unknown
% 0.14/0.38 % (9230)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (9230)Memory used [KB]: 5500
% 0.14/0.38 % (9230)Time elapsed: 0.005 s
% 0.14/0.38 % (9230)Instructions burned: 3 (million)
% 0.14/0.38 % (9230)------------------------------
% 0.14/0.38 % (9230)------------------------------
% 0.14/0.38 % (9224)Instruction limit reached!
% 0.14/0.38 % (9224)------------------------------
% 0.14/0.38 % (9224)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (9224)Termination reason: Unknown
% 0.14/0.38 % (9224)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (9224)Memory used [KB]: 5500
% 0.14/0.38 % (9224)Time elapsed: 0.005 s
% 0.14/0.38 % (9224)Instructions burned: 4 (million)
% 0.14/0.38 % (9224)------------------------------
% 0.14/0.38 % (9224)------------------------------
% 0.14/0.39 % (9229)Instruction limit reached!
% 0.14/0.39 % (9229)------------------------------
% 0.14/0.39 % (9229)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (9229)Termination reason: Unknown
% 0.14/0.39 % (9229)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (9229)Memory used [KB]: 5628
% 0.14/0.39 % (9229)Time elapsed: 0.014 s
% 0.14/0.39 % (9229)Instructions burned: 18 (million)
% 0.14/0.39 % (9229)------------------------------
% 0.14/0.39 % (9229)------------------------------
% 0.14/0.39 % (9234)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 Vampire---4 for (2999ds/1041Mi)
% 0.14/0.39 % (9233)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.40 % (9225)Instruction limit reached!
% 0.14/0.40 % (9225)------------------------------
% 0.14/0.40 % (9225)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (9225)Termination reason: Unknown
% 0.14/0.40 % (9225)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (9225)Memory used [KB]: 5756
% 0.14/0.40 % (9225)Time elapsed: 0.024 s
% 0.14/0.40 % (9225)Instructions burned: 27 (million)
% 0.14/0.40 % (9225)------------------------------
% 0.14/0.40 % (9225)------------------------------
% 0.14/0.40 % (9233)Instruction limit reached!
% 0.14/0.40 % (9233)------------------------------
% 0.14/0.40 % (9233)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (9233)Termination reason: Unknown
% 0.14/0.40 % (9233)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (9233)Memory used [KB]: 5500
% 0.14/0.40 % (9233)Time elapsed: 0.004 s
% 0.14/0.40 % (9233)Instructions burned: 3 (million)
% 0.14/0.40 % (9233)------------------------------
% 0.14/0.40 % (9233)------------------------------
% 0.14/0.40 % (9231)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 Vampire---4 for (2999ds/37Mi)
% 0.14/0.40 % (9235)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.14/0.40 % (9232)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 Vampire---4 for (2999ds/15Mi)
% 0.14/0.41 % (9235)Instruction limit reached!
% 0.14/0.41 % (9235)------------------------------
% 0.14/0.41 % (9235)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (9235)Termination reason: Unknown
% 0.14/0.41 % (9235)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (9235)Memory used [KB]: 1023
% 0.14/0.41 % (9235)Time elapsed: 0.006 s
% 0.14/0.41 % (9235)Instructions burned: 8 (million)
% 0.14/0.41 % (9235)------------------------------
% 0.14/0.41 % (9235)------------------------------
% 0.14/0.41 % (9237)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 Vampire---4 for (2999ds/3Mi)
% 0.14/0.41 % (9232)Instruction limit reached!
% 0.14/0.41 % (9232)------------------------------
% 0.14/0.41 % (9232)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (9232)Termination reason: Unknown
% 0.14/0.41 % (9232)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (9232)Memory used [KB]: 5628
% 0.14/0.41 % (9232)Time elapsed: 0.012 s
% 0.14/0.41 % (9237)Instruction limit reached!
% 0.14/0.41 % (9237)------------------------------
% 0.14/0.41 % (9237)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (9237)Termination reason: Unknown
% 0.14/0.41 % (9237)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (9237)Memory used [KB]: 5500
% 0.14/0.41 % (9237)Time elapsed: 0.004 s
% 0.14/0.41 % (9237)Instructions burned: 4 (million)
% 0.14/0.41 % (9237)------------------------------
% 0.14/0.41 % (9237)------------------------------
% 0.14/0.41 % (9232)Instructions burned: 15 (million)
% 0.14/0.41 % (9232)------------------------------
% 0.14/0.41 % (9232)------------------------------
% 0.14/0.41 % (9236)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.20/0.42 % (9231)Instruction limit reached!
% 0.20/0.42 % (9231)------------------------------
% 0.20/0.42 % (9231)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (9231)Termination reason: Unknown
% 0.20/0.42 % (9231)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (9231)Memory used [KB]: 5884
% 0.20/0.42 % (9231)Time elapsed: 0.021 s
% 0.20/0.42 % (9231)Instructions burned: 37 (million)
% 0.20/0.42 % (9231)------------------------------
% 0.20/0.42 % (9231)------------------------------
% 0.20/0.42 % (9236)Instruction limit reached!
% 0.20/0.42 % (9236)------------------------------
% 0.20/0.42 % (9236)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (9236)Termination reason: Unknown
% 0.20/0.42 % (9236)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (9236)Memory used [KB]: 5628
% 0.20/0.42 % (9236)Time elapsed: 0.011 s
% 0.20/0.42 % (9236)Instructions burned: 16 (million)
% 0.20/0.42 % (9236)------------------------------
% 0.20/0.42 % (9236)------------------------------
% 0.20/0.42 % (9234)First to succeed.
% 0.20/0.43 % (9238)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 Vampire---4 for (2999ds/3Mi)
% 0.20/0.43 % (9238)Instruction limit reached!
% 0.20/0.43 % (9238)------------------------------
% 0.20/0.43 % (9238)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (9238)Termination reason: Unknown
% 0.20/0.43 % (9238)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (9238)Memory used [KB]: 1023
% 0.20/0.43 % (9238)Time elapsed: 0.004 s
% 0.20/0.43 % (9238)Instructions burned: 4 (million)
% 0.20/0.43 % (9238)------------------------------
% 0.20/0.43 % (9238)------------------------------
% 0.20/0.43 % (9239)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.20/0.43 % (9234)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for Vampire---4
% 0.20/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.43 % (9234)------------------------------
% 0.20/0.43 % (9234)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (9234)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (9234)Memory used [KB]: 5884
% 0.20/0.43 % (9234)Time elapsed: 0.034 s
% 0.20/0.43 % (9234)Instructions burned: 48 (million)
% 0.20/0.43 % (9234)------------------------------
% 0.20/0.43 % (9234)------------------------------
% 0.20/0.43 % (9221)Success in time 0.072 s
% 0.20/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------