TSTP Solution File: SEV028^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV028^5 : 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 : n004.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 04:11:45 EDT 2024
% Result : Theorem 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 18
% Syntax : Number of formulae : 102 ( 34 unt; 13 typ; 0 def)
% Number of atoms : 729 ( 140 equ; 0 cnn)
% Maximal formula atoms : 10 ( 8 avg)
% Number of connectives : 1600 ( 54 ~; 50 |; 139 &;1011 @)
% ( 13 <=>; 116 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 69 ( 69 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 15 usr; 15 con; 0-2 aty)
% ( 170 !!; 47 ??; 0 @@+; 0 @@-)
% Number of variables : 294 ( 199 ^ 79 !; 15 ?; 294 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cQ: a > a > $o ).
thf(func_def_17,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_18,type,
sK2: a ).
thf(func_def_19,type,
sK3: a ).
thf(func_def_20,type,
sK4: a > a > $o ).
thf(func_def_21,type,
sK5: a > a ).
thf(func_def_22,type,
sK6: a ).
thf(func_def_23,type,
sK7: a ).
thf(func_def_24,type,
sK8: a ).
thf(func_def_25,type,
sK9: a ).
thf(func_def_26,type,
sK10: a ).
thf(f419,plain,
$false,
inference(avatar_sat_refutation,[],[f22,f207,f217,f242,f418]) ).
thf(f418,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f417]) ).
thf(f417,plain,
( $false
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f416]) ).
thf(f416,plain,
( ( $false = $true )
| ~ spl0_6 ),
inference(backward_demodulation,[],[f282,f414]) ).
thf(f414,plain,
( ( $false
= ( cQ @ sK8 @ sK9 ) )
| ~ spl0_6 ),
inference(superposition,[],[f272,f331]) ).
thf(f331,plain,
( ! [X0: a] :
( ( cQ @ sK8 @ X0 )
= ( cQ @ sK10 @ X0 ) )
| ~ spl0_6 ),
inference(superposition,[],[f327,f126]) ).
thf(f126,plain,
! [X0: a,X1: a] :
( ( cQ @ X0 @ X1 )
= ( sK4 @ X0 @ X1 ) ),
inference(binary_proxy_clausification,[],[f125]) ).
thf(f125,plain,
! [X0: a,X1: a] :
( ( ( sK4 @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) )
= $true ),
inference(beta_eta_normalization,[],[f123]) ).
thf(f123,plain,
! [X0: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK4 @ X0 @ Y0 )
= ( cQ @ X0 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f67]) ).
thf(f67,plain,
! [X0: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X0 @ Y0 )
= ( cQ @ X0 @ Y0 ) ) )
= $true ),
inference(boolean_simplification,[],[f66]) ).
thf(f66,plain,
! [X0: a] :
( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X0 @ Y0 )
= ( cQ @ X0 @ Y0 ) ) ) ) ),
inference(superposition,[],[f54,f63]) ).
thf(f63,plain,
! [X1: a] :
( ( sK4 @ X1 @ X1 )
= $true ),
inference(boolean_simplification,[],[f62]) ).
thf(f62,plain,
! [X1: a] :
( $true
= ( ( sK4 @ X1 @ X1 )
& $true ) ),
inference(backward_demodulation,[],[f57,f60]) ).
thf(f60,plain,
! [X1: a] :
( ( ?? @ a @ ( sK4 @ X1 ) )
= $true ),
inference(binary_proxy_clausification,[],[f57]) ).
thf(f57,plain,
! [X1: a] :
( ( ( sK4 @ X1 @ X1 )
& ( ?? @ a @ ( sK4 @ X1 ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f47]) ).
thf(f47,plain,
! [X1: a] :
( ( ( sK4 @ X1 @ X1 )
& ( ?? @ a @ ( sK4 @ X1 ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( Y0 @ X1 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cQ @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) ) )
=> ( ( sK4 @ X1 )
= Y0 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f45]) ).
thf(f45,plain,
! [X1: a] :
( $true
= ( ( sK4 @ X1 @ X1 )
& ( ?? @ a @ ( sK4 @ X1 ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( Y0 @ X1 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cQ @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) ) )
=> ( ( sK4 @ X1 )
= Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ X1 @ Y1 )
= ( cQ @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f44]) ).
thf(f44,plain,
! [X1: a] :
( ( ^ [Y0: a > $o] :
( ( Y0 @ X1 )
& ( ?? @ a @ Y0 )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ?? @ a @ Y1 )
& ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( cQ @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 = Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( cQ @ Y1 @ Y2 ) ) ) ) ) )
@ ( sK4 @ X1 ) )
= $true ),
inference(sigma_clausification,[],[f42]) ).
thf(f42,plain,
! [X1: a] :
( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ X1 )
& ( ?? @ a @ Y0 )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ?? @ a @ Y1 )
& ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( cQ @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 = Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( cQ @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f41]) ).
thf(f41,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( ?? @ a @ Y1 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ?? @ a @ Y2 )
& ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( cQ @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( cQ @ Y2 @ Y3 ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f38]) ).
thf(f38,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( ?? @ a @ Y1 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ?? @ a @ Y2 )
& ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( cQ @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( cQ @ Y2 @ Y3 ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f37]) ).
thf(f37,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( ?? @ a @ Y1 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ?? @ a @ Y2 )
& ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( cQ @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( cQ @ Y2 @ Y3 ) ) ) ) ) ) ) )
& $true ) ),
inference(backward_demodulation,[],[f12,f35]) ).
thf(f35,plain,
( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( cQ @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f12]) ).
thf(f12,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( ?? @ a @ Y1 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ?? @ a @ Y2 )
& ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( cQ @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( cQ @ Y2 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( cQ @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f8]) ).
thf(f8,plain,
( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( ?? @ a @ Y1 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ?? @ a @ Y2 )
& ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( cQ @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( cQ @ Y2 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( cQ @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y2 @ Y0 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y2 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f7]) ).
thf(f7,plain,
( $true
= ( ~ ( ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( ?? @ a @ Y1 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ?? @ a @ Y2 )
& ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( cQ @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( cQ @ Y2 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( cQ @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y2 @ Y0 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y2 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f6]) ).
thf(f6,plain,
( ( ~ ( ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ?? @ a
@ ^ [Y3: a] : ( Y2 @ Y3 ) )
& ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( cQ @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( cQ @ Y2 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a
@ ^ [Y1: a] : ( Y0 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( cQ @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y2 @ Y0 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y2 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( ( ~ ( ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ?? @ a
@ ^ [Y3: a] : ( Y2 @ Y3 ) )
& ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( cQ @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( cQ @ Y2 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a
@ ^ [Y1: a] : ( Y0 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( cQ @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y2 @ Y0 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y2 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ( ! [X0: a > $o] :
( ( ! [X1: a] :
( ( X0 @ X1 )
=> ! [X2: a] :
( ( X0 @ X2 )
<=> ( cQ @ X1 @ X2 ) ) )
& ? [X3: a] : ( X0 @ X3 ) )
=> ? [X4: a] : ( X0 @ X4 ) )
& ! [X5: a] :
? [X6: a > $o] :
( ! [X7: a] :
( ( X6 @ X7 )
=> ! [X8: a] :
( ( X6 @ X8 )
<=> ( cQ @ X7 @ X8 ) ) )
& ! [X9: a > $o] :
( ( ! [X10: a] :
( ( X9 @ X10 )
=> ! [X11: a] :
( ( cQ @ X10 @ X11 )
<=> ( X9 @ X11 ) ) )
& ( X9 @ X5 )
& ? [X12: a] : ( X9 @ X12 ) )
=> ( X6 = X9 ) )
& ? [X13: a] : ( X6 @ X13 )
& ( X6 @ X5 ) ) )
=> ( ! [X14: a,X15: a] :
( ( cQ @ X15 @ X14 )
=> ( cQ @ X14 @ X15 ) )
& ! [X16: a,X17: a,X18: a] :
( ( ( cQ @ X18 @ X17 )
& ( cQ @ X16 @ X18 ) )
=> ( cQ @ X16 @ X17 ) )
& ! [X19: a] : ( cQ @ X19 @ X19 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X0: a > $o] :
( ( ! [X2: a] :
( ( X0 @ X2 )
=> ! [X3: a] :
( ( X0 @ X3 )
<=> ( cQ @ X2 @ X3 ) ) )
& ? [X1: a] : ( X0 @ X1 ) )
=> ? [X1: a] : ( X0 @ X1 ) )
& ! [X2: a] :
? [X0: a > $o] :
( ! [X4: a] :
( ( X0 @ X4 )
=> ! [X3: a] :
( ( X0 @ X3 )
<=> ( cQ @ X4 @ X3 ) ) )
& ! [X5: a > $o] :
( ( ! [X4: a] :
( ( X5 @ X4 )
=> ! [X3: a] :
( ( cQ @ X4 @ X3 )
<=> ( X5 @ X3 ) ) )
& ( X5 @ X2 )
& ? [X1: a] : ( X5 @ X1 ) )
=> ( X0 = X5 ) )
& ? [X1: a] : ( X0 @ X1 )
& ( X0 @ X2 ) ) )
=> ( ! [X3: a,X2: a] :
( ( cQ @ X2 @ X3 )
=> ( cQ @ X3 @ X2 ) )
& ! [X2: a,X1: a,X3: a] :
( ( ( cQ @ X3 @ X1 )
& ( cQ @ X2 @ X3 ) )
=> ( cQ @ X2 @ X1 ) )
& ! [X2: a] : ( cQ @ X2 @ X2 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ! [X0: a > $o] :
( ( ! [X2: a] :
( ( X0 @ X2 )
=> ! [X3: a] :
( ( X0 @ X3 )
<=> ( cQ @ X2 @ X3 ) ) )
& ? [X1: a] : ( X0 @ X1 ) )
=> ? [X1: a] : ( X0 @ X1 ) )
& ! [X2: a] :
? [X0: a > $o] :
( ! [X4: a] :
( ( X0 @ X4 )
=> ! [X3: a] :
( ( X0 @ X3 )
<=> ( cQ @ X4 @ X3 ) ) )
& ! [X5: a > $o] :
( ( ! [X4: a] :
( ( X5 @ X4 )
=> ! [X3: a] :
( ( cQ @ X4 @ X3 )
<=> ( X5 @ X3 ) ) )
& ( X5 @ X2 )
& ? [X1: a] : ( X5 @ X1 ) )
=> ( X0 = X5 ) )
& ? [X1: a] : ( X0 @ X1 )
& ( X0 @ X2 ) ) )
=> ( ! [X3: a,X2: a] :
( ( cQ @ X2 @ X3 )
=> ( cQ @ X3 @ X2 ) )
& ! [X2: a,X1: a,X3: a] :
( ( ( cQ @ X3 @ X1 )
& ( cQ @ X2 @ X3 ) )
=> ( cQ @ X2 @ X1 ) )
& ! [X2: a] : ( cQ @ X2 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM558_pme) ).
thf(f54,plain,
! [X2: a,X1: a] :
( ( ( sK4 @ X1 @ X2 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
= ( cQ @ X2 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f50]) ).
thf(f50,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ X1 @ Y1 )
= ( cQ @ Y0 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f49]) ).
thf(f49,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ X1 @ Y1 )
= ( cQ @ Y0 @ Y1 ) ) ) ) ) ),
inference(boolean_simplification,[],[f48]) ).
thf(f48,plain,
! [X1: a] :
( $true
= ( $true
& ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ X1 @ Y1 )
= ( cQ @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f45,f47]) ).
thf(f327,plain,
( ! [X1: a] :
( ( cQ @ sK8 @ X1 )
= ( sK4 @ sK10 @ X1 ) )
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f326]) ).
thf(f326,plain,
( ! [X1: a] :
( $true
= ( ( sK4 @ sK10 @ X1 )
= ( cQ @ sK8 @ X1 ) ) )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f323]) ).
thf(f323,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK4 @ sK10 @ Y0 )
= ( cQ @ sK8 @ Y0 ) )
@ X1 ) )
| ~ spl0_6 ),
inference(pi_clausification,[],[f290]) ).
thf(f290,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK10 @ Y0 )
= ( cQ @ sK8 @ Y0 ) ) )
= $true )
| ~ spl0_6 ),
inference(boolean_simplification,[],[f287]) ).
thf(f287,plain,
( ( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK10 @ Y0 )
= ( cQ @ sK8 @ Y0 ) ) ) ) )
| ~ spl0_6 ),
inference(superposition,[],[f130,f280]) ).
thf(f280,plain,
( ( ( cQ @ sK10 @ sK8 )
= $true )
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f270]) ).
thf(f270,plain,
( ( ( ( cQ @ sK10 @ sK8 )
& ( cQ @ sK8 @ sK9 ) )
= $true )
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f262]) ).
thf(f262,plain,
( ( $false
= ( ( ( cQ @ sK10 @ sK8 )
& ( cQ @ sK8 @ sK9 ) )
=> ( cQ @ sK10 @ sK9 ) ) )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f261]) ).
thf(f261,plain,
( ( ( ^ [Y0: a] :
( ( ( cQ @ Y0 @ sK8 )
& ( cQ @ sK8 @ sK9 ) )
=> ( cQ @ Y0 @ sK9 ) )
@ sK10 )
= $false )
| ~ spl0_6 ),
inference(sigma_clausification,[],[f252]) ).
thf(f252,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( cQ @ Y0 @ sK8 )
& ( cQ @ sK8 @ sK9 ) )
=> ( cQ @ Y0 @ sK9 ) ) )
= $false )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f251]) ).
thf(f251,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( cQ @ Y1 @ sK8 )
& ( cQ @ sK8 @ Y0 ) )
=> ( cQ @ Y1 @ Y0 ) ) )
@ sK9 ) )
| ~ spl0_6 ),
inference(sigma_clausification,[],[f246]) ).
thf(f246,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( cQ @ Y1 @ sK8 )
& ( cQ @ sK8 @ Y0 ) )
=> ( cQ @ Y1 @ Y0 ) ) ) ) )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f245]) ).
thf(f245,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y2 @ Y0 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y2 @ Y1 ) ) ) )
@ sK8 ) )
| ~ spl0_6 ),
inference(sigma_clausification,[],[f216]) ).
thf(f216,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y2 @ Y0 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y2 @ Y1 ) ) ) ) )
= $false )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f215]) ).
thf(f215,plain,
( spl0_6
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y2 @ Y0 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y2 @ Y1 ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f130,plain,
! [X2: a,X1: a] :
( ( ( cQ @ X1 @ X2 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
= ( cQ @ X2 @ Y0 ) ) ) )
= $true ),
inference(backward_demodulation,[],[f54,f126]) ).
thf(f272,plain,
( ( ( cQ @ sK10 @ sK9 )
= $false )
| ~ spl0_6 ),
inference(boolean_simplification,[],[f271]) ).
thf(f271,plain,
( ( $false
= ( $true
=> ( cQ @ sK10 @ sK9 ) ) )
| ~ spl0_6 ),
inference(backward_demodulation,[],[f262,f270]) ).
thf(f282,plain,
( ( $true
= ( cQ @ sK8 @ sK9 ) )
| ~ spl0_6 ),
inference(boolean_simplification,[],[f281]) ).
thf(f281,plain,
( ( ( $true
& ( cQ @ sK8 @ sK9 ) )
= $true )
| ~ spl0_6 ),
inference(backward_demodulation,[],[f270,f280]) ).
thf(f242,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f241]) ).
thf(f241,plain,
( $false
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f231]) ).
thf(f231,plain,
( ( $false = $true )
| ~ spl0_5 ),
inference(superposition,[],[f230,f174]) ).
thf(f174,plain,
! [X0: a] :
( $true
= ( cQ @ X0 @ X0 ) ),
inference(superposition,[],[f63,f126]) ).
thf(f230,plain,
( ( ( cQ @ sK7 @ sK7 )
= $false )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f229]) ).
thf(f229,plain,
( ( ( ^ [Y0: a] : ( cQ @ Y0 @ Y0 )
@ sK7 )
= $false )
| ~ spl0_5 ),
inference(sigma_clausification,[],[f213]) ).
thf(f213,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f212]) ).
thf(f212,plain,
( spl0_5
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f217,plain,
( spl0_5
| spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f210,f17,f215,f212]) ).
thf(f17,plain,
( spl0_1
<=> ( $false
= ( ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y2 @ Y0 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y2 @ Y1 ) ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f210,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y2 @ Y0 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y2 @ Y1 ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f18]) ).
thf(f18,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y2 @ Y0 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y2 @ Y1 ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f17]) ).
thf(f207,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f206]) ).
thf(f206,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f195]) ).
thf(f195,plain,
( ( $false = $true )
| ~ spl0_2 ),
inference(superposition,[],[f174,f160]) ).
thf(f160,plain,
( ( ( cQ @ sK2 @ sK2 )
= $false )
| ~ spl0_2 ),
inference(superposition,[],[f29,f155]) ).
thf(f155,plain,
( ! [X1: a] :
( ( cQ @ sK2 @ X1 )
= ( cQ @ sK3 @ X1 ) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f153,f126]) ).
thf(f153,plain,
( ! [X1: a] :
( ( cQ @ sK3 @ X1 )
= ( sK4 @ sK2 @ X1 ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f152]) ).
thf(f152,plain,
( ! [X1: a] :
( $true
= ( ( sK4 @ sK2 @ X1 )
= ( cQ @ sK3 @ X1 ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f150]) ).
thf(f150,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK4 @ sK2 @ Y0 )
= ( cQ @ sK3 @ Y0 ) )
@ X1 ) )
| ~ spl0_2 ),
inference(pi_clausification,[],[f142]) ).
thf(f142,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK2 @ Y0 )
= ( cQ @ sK3 @ Y0 ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f138]) ).
thf(f138,plain,
( ( ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK2 @ Y0 )
= ( cQ @ sK3 @ Y0 ) ) ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f130,f30]) ).
thf(f30,plain,
( ( ( cQ @ sK2 @ sK3 )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f28]) ).
thf(f28,plain,
( ( ( ( cQ @ sK2 @ sK3 )
=> ( cQ @ sK3 @ sK2 ) )
= $false )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f27]) ).
thf(f27,plain,
( ( $false
= ( ^ [Y0: a] :
( ( cQ @ sK2 @ Y0 )
=> ( cQ @ Y0 @ sK2 ) )
@ sK3 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f26]) ).
thf(f26,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cQ @ sK2 @ Y0 )
=> ( cQ @ Y0 @ sK2 ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f25]) ).
thf(f25,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) )
@ sK2 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f21]) ).
thf(f21,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f20]) ).
thf(f20,plain,
( spl0_2
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f29,plain,
( ( $false
= ( cQ @ sK3 @ sK2 ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f28]) ).
thf(f22,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f15,f20,f17]) ).
thf(f15,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) )
| ( $false
= ( ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y2 @ Y0 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f14]) ).
thf(f14,plain,
( $false
= ( ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y2 @ Y0 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y2 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ) ),
inference(boolean_simplification,[],[f13]) ).
thf(f13,plain,
( ( $true
=> ( ( !! @ a
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cQ @ Y2 @ Y0 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y2 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ) )
= $false ),
inference(backward_demodulation,[],[f8,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV028^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14 % 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
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 18:41:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 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/benchmark/theBenchmark.p
% 0.22/0.37 % (21390)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.37 % (21385)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 (2999ds/27Mi)
% 0.22/0.37 % (21384)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 (2999ds/4Mi)
% 0.22/0.37 % (21386)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.37 % (21387)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 (2999ds/2Mi)
% 0.22/0.37 % (21388)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 (2999ds/275Mi)
% 0.22/0.37 % (21386)Instruction limit reached!
% 0.22/0.37 % (21386)------------------------------
% 0.22/0.37 % (21386)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.37 % (21386)Termination reason: Unknown
% 0.22/0.37 % (21387)Instruction limit reached!
% 0.22/0.37 % (21387)------------------------------
% 0.22/0.37 % (21387)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.37 % (21386)Termination phase: Preprocessing 3
% 0.22/0.37
% 0.22/0.37 % (21386)Memory used [KB]: 1023
% 0.22/0.37 % (21386)Time elapsed: 0.003 s
% 0.22/0.37 % (21386)Instructions burned: 2 (million)
% 0.22/0.37 % (21386)------------------------------
% 0.22/0.37 % (21386)------------------------------
% 0.22/0.37 % (21387)Termination reason: Unknown
% 0.22/0.37 % (21387)Termination phase: Property scanning
% 0.22/0.37
% 0.22/0.37 % (21387)Memory used [KB]: 1023
% 0.22/0.37 % (21387)Time elapsed: 0.003 s
% 0.22/0.37 % (21387)Instructions burned: 3 (million)
% 0.22/0.37 % (21387)------------------------------
% 0.22/0.37 % (21387)------------------------------
% 0.22/0.37 % (21390)Instruction limit reached!
% 0.22/0.37 % (21390)------------------------------
% 0.22/0.37 % (21390)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.37 % (21390)Termination reason: Unknown
% 0.22/0.37 % (21390)Termination phase: Saturation
% 0.22/0.37
% 0.22/0.37 % (21390)Memory used [KB]: 5500
% 0.22/0.37 % (21390)Time elapsed: 0.004 s
% 0.22/0.37 % (21390)Instructions burned: 4 (million)
% 0.22/0.37 % (21390)------------------------------
% 0.22/0.37 % (21390)------------------------------
% 0.22/0.37 % (21384)Instruction limit reached!
% 0.22/0.37 % (21384)------------------------------
% 0.22/0.37 % (21384)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.37 % (21384)Termination reason: Unknown
% 0.22/0.37 % (21384)Termination phase: Saturation
% 0.22/0.37
% 0.22/0.37 % (21384)Memory used [KB]: 5500
% 0.22/0.37 % (21384)Time elapsed: 0.005 s
% 0.22/0.37 % (21384)Instructions burned: 5 (million)
% 0.22/0.37 % (21384)------------------------------
% 0.22/0.37 % (21384)------------------------------
% 0.22/0.37 % (21389)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.38 % (21389)Instruction limit reached!
% 0.22/0.38 % (21389)------------------------------
% 0.22/0.38 % (21389)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (21389)Termination reason: Unknown
% 0.22/0.38 % (21389)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (21389)Memory used [KB]: 5628
% 0.22/0.38 % (21389)Time elapsed: 0.012 s
% 0.22/0.38 % (21389)Instructions burned: 18 (million)
% 0.22/0.38 % (21389)------------------------------
% 0.22/0.38 % (21389)------------------------------
% 0.22/0.38 % (21383)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.38 % (21391)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)
% 0.22/0.38 % (21392)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)
% 0.22/0.39 % (21395)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)
% 0.22/0.39 % (21385)Instruction limit reached!
% 0.22/0.39 % (21385)------------------------------
% 0.22/0.39 % (21385)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (21385)Termination reason: Unknown
% 0.22/0.39 % (21385)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (21385)Memory used [KB]: 5756
% 0.22/0.39 % (21385)Time elapsed: 0.021 s
% 0.22/0.39 % (21385)Instructions burned: 28 (million)
% 0.22/0.39 % (21385)------------------------------
% 0.22/0.39 % (21385)------------------------------
% 0.22/0.39 % (21393)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)
% 0.22/0.39 % (21393)Instruction limit reached!
% 0.22/0.39 % (21393)------------------------------
% 0.22/0.39 % (21393)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (21393)Termination reason: Unknown
% 0.22/0.39 % (21393)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (21393)Memory used [KB]: 5500
% 0.22/0.39 % (21393)Time elapsed: 0.003 s
% 0.22/0.39 % (21393)Instructions burned: 3 (million)
% 0.22/0.39 % (21393)------------------------------
% 0.22/0.39 % (21393)------------------------------
% 0.22/0.40 % (21392)Instruction limit reached!
% 0.22/0.40 % (21392)------------------------------
% 0.22/0.40 % (21392)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (21392)Termination reason: Unknown
% 0.22/0.40 % (21392)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (21392)Memory used [KB]: 5628
% 0.22/0.40 % (21392)Time elapsed: 0.013 s
% 0.22/0.40 % (21392)Instructions burned: 16 (million)
% 0.22/0.40 % (21392)------------------------------
% 0.22/0.40 % (21392)------------------------------
% 0.22/0.40 % (21396)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.40 % (21396)Instruction limit reached!
% 0.22/0.40 % (21396)------------------------------
% 0.22/0.40 % (21396)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (21396)Termination reason: Unknown
% 0.22/0.40 % (21396)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (21396)Memory used [KB]: 1023
% 0.22/0.40 % (21396)Time elapsed: 0.006 s
% 0.22/0.40 % (21396)Instructions burned: 8 (million)
% 0.22/0.40 % (21396)------------------------------
% 0.22/0.40 % (21396)------------------------------
% 0.22/0.40 % (21397)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.40 % (21398)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)
% 0.22/0.40 % (21398)Instruction limit reached!
% 0.22/0.40 % (21398)------------------------------
% 0.22/0.40 % (21398)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (21398)Termination reason: Unknown
% 0.22/0.40 % (21398)Termination phase: Twee Goal Transformation
% 0.22/0.40
% 0.22/0.40 % (21398)Memory used [KB]: 1023
% 0.22/0.40 % (21398)Time elapsed: 0.003 s
% 0.22/0.40 % (21398)Instructions burned: 3 (million)
% 0.22/0.40 % (21398)------------------------------
% 0.22/0.40 % (21398)------------------------------
% 0.22/0.41 % (21391)Instruction limit reached!
% 0.22/0.41 % (21391)------------------------------
% 0.22/0.41 % (21391)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (21391)Termination reason: Unknown
% 0.22/0.41 % (21391)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (21391)Memory used [KB]: 5884
% 0.22/0.41 % (21391)Time elapsed: 0.023 s
% 0.22/0.41 % (21391)Instructions burned: 37 (million)
% 0.22/0.41 % (21391)------------------------------
% 0.22/0.41 % (21391)------------------------------
% 0.22/0.41 % (21399)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)
% 0.22/0.41 % (21399)Instruction limit reached!
% 0.22/0.41 % (21399)------------------------------
% 0.22/0.41 % (21399)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (21399)Termination reason: Unknown
% 0.22/0.41 % (21399)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (21399)Memory used [KB]: 1023
% 0.22/0.41 % (21399)Time elapsed: 0.004 s
% 0.22/0.41 % (21399)Instructions burned: 4 (million)
% 0.22/0.41 % (21397)Instruction limit reached!
% 0.22/0.41 % (21397)------------------------------
% 0.22/0.41 % (21397)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (21397)Termination reason: Unknown
% 0.22/0.41 % (21397)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (21397)Memory used [KB]: 5628
% 0.22/0.41 % (21397)Time elapsed: 0.012 s
% 0.22/0.41 % (21397)Instructions burned: 16 (million)
% 0.22/0.41 % (21397)------------------------------
% 0.22/0.41 % (21397)------------------------------
% 0.22/0.41 % (21399)------------------------------
% 0.22/0.41 % (21399)------------------------------
% 0.22/0.42 % (21400)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)
% 0.22/0.42 % (21401)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)
% 0.22/0.42 % (21401)Instruction limit reached!
% 0.22/0.42 % (21401)------------------------------
% 0.22/0.42 % (21401)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (21401)Termination reason: Unknown
% 0.22/0.42 % (21401)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (21401)Memory used [KB]: 1023
% 0.22/0.42 % (21401)Time elapsed: 0.003 s
% 0.22/0.42 % (21401)Instructions burned: 3 (million)
% 0.22/0.42 % (21401)------------------------------
% 0.22/0.42 % (21401)------------------------------
% 0.22/0.42 % (21402)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.42 % (21400)Instruction limit reached!
% 0.22/0.42 % (21400)------------------------------
% 0.22/0.42 % (21400)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (21400)Termination reason: Unknown
% 0.22/0.42 % (21400)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (21400)Memory used [KB]: 5500
% 0.22/0.42 % (21400)Time elapsed: 0.006 s
% 0.22/0.42 % (21400)Instructions burned: 8 (million)
% 0.22/0.42 % (21400)------------------------------
% 0.22/0.42 % (21400)------------------------------
% 0.22/0.42 % (21402)Instruction limit reached!
% 0.22/0.42 % (21402)------------------------------
% 0.22/0.42 % (21402)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (21402)Termination reason: Unknown
% 0.22/0.42 % (21402)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (21402)Memory used [KB]: 5500
% 0.22/0.42 % (21402)Time elapsed: 0.004 s
% 0.22/0.42 % (21402)Instructions burned: 4 (million)
% 0.22/0.42 % (21402)------------------------------
% 0.22/0.42 % (21402)------------------------------
% 0.22/0.43 % (21403)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)
% 0.22/0.43 % (21404)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.43 % (21406)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.44 % (21407)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.44 % (21403)Instruction limit reached!
% 0.22/0.44 % (21403)------------------------------
% 0.22/0.44 % (21403)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (21403)Termination reason: Unknown
% 0.22/0.44 % (21403)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (21403)Memory used [KB]: 5628
% 0.22/0.44 % (21403)Time elapsed: 0.014 s
% 0.22/0.44 % (21403)Instructions burned: 18 (million)
% 0.22/0.44 % (21403)------------------------------
% 0.22/0.44 % (21403)------------------------------
% 0.22/0.45 % (21395)First to succeed.
% 0.22/0.45 % (21407)Instruction limit reached!
% 0.22/0.45 % (21407)------------------------------
% 0.22/0.45 % (21407)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (21407)Termination reason: Unknown
% 0.22/0.45 % (21407)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (21407)Memory used [KB]: 5756
% 0.22/0.45 % (21407)Time elapsed: 0.014 s
% 0.22/0.45 % (21407)Instructions burned: 21 (million)
% 0.22/0.45 % (21407)------------------------------
% 0.22/0.45 % (21407)------------------------------
% 0.22/0.45 % (21405)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.45 % (21395)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Theorem for theBenchmark
% 0.22/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45 % (21395)------------------------------
% 0.22/0.45 % (21395)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (21395)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (21395)Memory used [KB]: 6140
% 0.22/0.45 % (21395)Time elapsed: 0.067 s
% 0.22/0.45 % (21395)Instructions burned: 95 (million)
% 0.22/0.45 % (21395)------------------------------
% 0.22/0.45 % (21395)------------------------------
% 0.22/0.45 % (21382)Success in time 0.082 s
% 0.22/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------