TSTP Solution File: SEV199^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV199^5 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.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 09:41:43 EDT 2024
% Result : Theorem 2.02s 0.60s
% Output : Refutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 56 ( 4 unt; 9 typ; 0 def)
% Number of atoms : 515 ( 254 equ; 0 cnn)
% Maximal formula atoms : 22 ( 10 avg)
% Number of connectives : 1155 ( 138 ~; 124 |; 105 &; 753 @)
% ( 3 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 9 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 49 ( 49 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 376 ( 120 ^ 213 !; 42 ?; 376 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
iS: $tType ).
thf(func_def_0,type,
iS: $tType ).
thf(func_def_1,type,
x: iS ).
thf(func_def_2,type,
cP: iS > iS > iS ).
thf(func_def_3,type,
c0: iS ).
thf(func_def_7,type,
sK0: ( iS > $o ) > iS ).
thf(func_def_8,type,
sK1: ( iS > $o ) > iS ).
thf(func_def_9,type,
sK2: iS > iS > iS > $o ).
thf(func_def_11,type,
ph4:
!>[X0: $tType] : X0 ).
thf(f238,plain,
$false,
inference(avatar_sat_refutation,[],[f202,f209,f228,f237]) ).
thf(f237,plain,
( spl3_4
| spl3_6 ),
inference(avatar_split_clause,[],[f236,f199,f192]) ).
thf(f192,plain,
( spl3_4
<=> ! [X0: iS] :
( $true
= ( sK2 @ X0 @ X0 @ X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
thf(f199,plain,
( spl3_6
<=> ( $true
= ( sK2
@ ( sK1
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
thf(f236,plain,
( ! [X0: iS] :
( $true
= ( sK2 @ X0 @ X0 @ X0 ) )
| spl3_6 ),
inference(subsumption_resolution,[],[f235,f26]) ).
thf(f26,plain,
! [X7: iS] :
( ( sK2 @ X7 @ c0 @ X7 )
= $true ),
inference(equality_resolution,[],[f25]) ).
thf(f25,plain,
! [X6: iS,X7: iS] :
( ( $true
= ( sK2 @ X7 @ X6 @ X7 ) )
| ( c0 != X6 ) ),
inference(equality_resolution,[],[f18]) ).
thf(f18,plain,
! [X6: iS,X7: iS,X5: iS] :
( ( $true
= ( sK2 @ X7 @ X6 @ X5 ) )
| ( X5 != X7 )
| ( c0 != X6 ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( ! [X0: iS > $o] :
( ( ( $true
!= ( X0 @ ( cP @ ( sK1 @ X0 ) @ ( sK0 @ X0 ) ) ) )
& ( ( X0 @ ( sK0 @ X0 ) )
= $true )
& ( $true
= ( X0 @ ( sK1 @ X0 ) ) ) )
| ( ( X0 @ c0 )
!= $true )
| ! [X3: iS] :
( ( X0 @ X3 )
= $true ) )
& ! [X5: iS,X6: iS,X7: iS] :
( ( $true
= ( sK2 @ X7 @ X6 @ X5 ) )
| ( ( ( c0 != X7 )
| ( X5 != X6 ) )
& ( ( X5 != X7 )
| ( c0 != X6 ) )
& ! [X8: iS,X9: iS,X10: iS,X11: iS,X12: iS,X13: iS] :
( ( ( cP @ X8 @ X13 )
!= X7 )
| ( ( cP @ X9 @ X12 )
!= X5 )
| ( $true
!= ( sK2 @ X8 @ X11 @ X9 ) )
| ( $true
!= ( sK2 @ X13 @ X10 @ X12 ) )
| ( ( cP @ X11 @ X10 )
!= X6 ) ) ) )
& ( $true
!= ( sK2 @ x @ x @ x ) )
& ! [X14: iS,X15: iS] :
( c0
!= ( cP @ X15 @ X14 ) )
& ! [X16: iS,X17: iS,X18: iS,X19: iS] :
( ( ( X16 = X19 )
& ( X17 = X18 ) )
| ( ( cP @ X18 @ X16 )
!= ( cP @ X17 @ X19 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f9,f11,f10]) ).
thf(f10,plain,
! [X0: iS > $o] :
( ? [X1: iS,X2: iS] :
( ( $true
!= ( X0 @ ( cP @ X2 @ X1 ) ) )
& ( $true
= ( X0 @ X1 ) )
& ( $true
= ( X0 @ X2 ) ) )
=> ( ( $true
!= ( X0 @ ( cP @ ( sK1 @ X0 ) @ ( sK0 @ X0 ) ) ) )
& ( ( X0 @ ( sK0 @ X0 ) )
= $true )
& ( $true
= ( X0 @ ( sK1 @ X0 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
( ? [X4: iS > iS > iS > $o] :
( ! [X5: iS,X6: iS,X7: iS] :
( ( $true
= ( X4 @ X7 @ X6 @ X5 ) )
| ( ( ( c0 != X7 )
| ( X5 != X6 ) )
& ( ( X5 != X7 )
| ( c0 != X6 ) )
& ! [X8: iS,X9: iS,X10: iS,X11: iS,X12: iS,X13: iS] :
( ( ( cP @ X8 @ X13 )
!= X7 )
| ( ( cP @ X9 @ X12 )
!= X5 )
| ( $true
!= ( X4 @ X8 @ X11 @ X9 ) )
| ( $true
!= ( X4 @ X13 @ X10 @ X12 ) )
| ( ( cP @ X11 @ X10 )
!= X6 ) ) ) )
& ( $true
!= ( X4 @ x @ x @ x ) ) )
=> ( ! [X7: iS,X6: iS,X5: iS] :
( ( $true
= ( sK2 @ X7 @ X6 @ X5 ) )
| ( ( ( c0 != X7 )
| ( X5 != X6 ) )
& ( ( X5 != X7 )
| ( c0 != X6 ) )
& ! [X13: iS,X12: iS,X11: iS,X10: iS,X9: iS,X8: iS] :
( ( ( cP @ X8 @ X13 )
!= X7 )
| ( ( cP @ X9 @ X12 )
!= X5 )
| ( $true
!= ( sK2 @ X8 @ X11 @ X9 ) )
| ( $true
!= ( sK2 @ X13 @ X10 @ X12 ) )
| ( ( cP @ X11 @ X10 )
!= X6 ) ) ) )
& ( $true
!= ( sK2 @ x @ x @ x ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
( ! [X0: iS > $o] :
( ? [X1: iS,X2: iS] :
( ( $true
!= ( X0 @ ( cP @ X2 @ X1 ) ) )
& ( $true
= ( X0 @ X1 ) )
& ( $true
= ( X0 @ X2 ) ) )
| ( ( X0 @ c0 )
!= $true )
| ! [X3: iS] :
( ( X0 @ X3 )
= $true ) )
& ? [X4: iS > iS > iS > $o] :
( ! [X5: iS,X6: iS,X7: iS] :
( ( $true
= ( X4 @ X7 @ X6 @ X5 ) )
| ( ( ( c0 != X7 )
| ( X5 != X6 ) )
& ( ( X5 != X7 )
| ( c0 != X6 ) )
& ! [X8: iS,X9: iS,X10: iS,X11: iS,X12: iS,X13: iS] :
( ( ( cP @ X8 @ X13 )
!= X7 )
| ( ( cP @ X9 @ X12 )
!= X5 )
| ( $true
!= ( X4 @ X8 @ X11 @ X9 ) )
| ( $true
!= ( X4 @ X13 @ X10 @ X12 ) )
| ( ( cP @ X11 @ X10 )
!= X6 ) ) ) )
& ( $true
!= ( X4 @ x @ x @ x ) ) )
& ! [X14: iS,X15: iS] :
( c0
!= ( cP @ X15 @ X14 ) )
& ! [X16: iS,X17: iS,X18: iS,X19: iS] :
( ( ( X16 = X19 )
& ( X17 = X18 ) )
| ( ( cP @ X18 @ X16 )
!= ( cP @ X17 @ X19 ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f8,plain,
( ! [X6: iS > $o] :
( ? [X7: iS,X8: iS] :
( ( $true
!= ( X6 @ ( cP @ X8 @ X7 ) ) )
& ( $true
= ( X6 @ X7 ) )
& ( $true
= ( X6 @ X8 ) ) )
| ( $true
!= ( X6 @ c0 ) )
| ! [X9: iS] :
( $true
= ( X6 @ X9 ) ) )
& ? [X10: iS > iS > iS > $o] :
( ! [X13: iS,X12: iS,X11: iS] :
( ( $true
= ( X10 @ X11 @ X12 @ X13 ) )
| ( ( ( c0 != X11 )
| ( X12 != X13 ) )
& ( ( X11 != X13 )
| ( c0 != X12 ) )
& ! [X14: iS,X15: iS,X19: iS,X17: iS,X16: iS,X18: iS] :
( ( ( cP @ X14 @ X18 )
!= X11 )
| ( ( cP @ X15 @ X16 )
!= X13 )
| ( $true
!= ( X10 @ X14 @ X17 @ X15 ) )
| ( $true
!= ( X10 @ X18 @ X19 @ X16 ) )
| ( ( cP @ X17 @ X19 )
!= X12 ) ) ) )
& ( $true
!= ( X10 @ x @ x @ x ) ) )
& ! [X0: iS,X1: iS] :
( c0
!= ( cP @ X1 @ X0 ) )
& ! [X5: iS,X3: iS,X2: iS,X4: iS] :
( ( ( X4 = X5 )
& ( X2 = X3 ) )
| ( ( cP @ X2 @ X5 )
!= ( cP @ X3 @ X4 ) ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
( ? [X10: iS > iS > iS > $o] :
( ! [X13: iS,X12: iS,X11: iS] :
( ( $true
= ( X10 @ X11 @ X12 @ X13 ) )
| ( ( ( c0 != X11 )
| ( X12 != X13 ) )
& ( ( X11 != X13 )
| ( c0 != X12 ) )
& ! [X14: iS,X15: iS,X19: iS,X17: iS,X16: iS,X18: iS] :
( ( ( cP @ X14 @ X18 )
!= X11 )
| ( ( cP @ X15 @ X16 )
!= X13 )
| ( $true
!= ( X10 @ X14 @ X17 @ X15 ) )
| ( $true
!= ( X10 @ X18 @ X19 @ X16 ) )
| ( ( cP @ X17 @ X19 )
!= X12 ) ) ) )
& ( $true
!= ( X10 @ x @ x @ x ) ) )
& ! [X6: iS > $o] :
( ! [X9: iS] :
( $true
= ( X6 @ X9 ) )
| ? [X8: iS,X7: iS] :
( ( $true
!= ( X6 @ ( cP @ X8 @ X7 ) ) )
& ( $true
= ( X6 @ X7 ) )
& ( $true
= ( X6 @ X8 ) ) )
| ( $true
!= ( X6 @ c0 ) ) )
& ! [X0: iS,X1: iS] :
( c0
!= ( cP @ X1 @ X0 ) )
& ! [X5: iS,X3: iS,X2: iS,X4: iS] :
( ( ( X4 = X5 )
& ( X2 = X3 ) )
| ( ( cP @ X2 @ X5 )
!= ( cP @ X3 @ X4 ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ( ( ! [X6: iS > $o] :
( ( ! [X8: iS,X7: iS] :
( ( ( $true
= ( X6 @ X7 ) )
& ( $true
= ( X6 @ X8 ) ) )
=> ( $true
= ( X6 @ ( cP @ X8 @ X7 ) ) ) )
& ( $true
= ( X6 @ c0 ) ) )
=> ! [X9: iS] :
( $true
= ( X6 @ X9 ) ) )
& ! [X0: iS,X1: iS] :
( c0
!= ( cP @ X1 @ X0 ) )
& ! [X4: iS,X3: iS,X5: iS,X2: iS] :
( ( ( cP @ X2 @ X5 )
= ( cP @ X3 @ X4 ) )
=> ( ( X4 = X5 )
& ( X2 = X3 ) ) ) )
=> ! [X10: iS > iS > iS > $o] :
( ! [X13: iS,X11: iS,X12: iS] :
( ( ( ( X12 = X13 )
& ( c0 = X11 ) )
| ( ( X11 = X13 )
& ( c0 = X12 ) )
| ? [X16: iS,X17: iS,X18: iS,X19: iS,X15: iS,X14: iS] :
( ( $true
= ( X10 @ X18 @ X19 @ X16 ) )
& ( $true
= ( X10 @ X14 @ X17 @ X15 ) )
& ( ( cP @ X14 @ X18 )
= X11 )
& ( ( cP @ X17 @ X19 )
= X12 )
& ( ( cP @ X15 @ X16 )
= X13 ) ) )
=> ( $true
= ( X10 @ X11 @ X12 @ X13 ) ) )
=> ( $true
= ( X10 @ x @ x @ x ) ) ) ),
inference(true_and_false_elimination,[],[f5]) ).
thf(f5,plain,
~ ( ( ! [X6: iS > $o] :
( ( ! [X8: iS,X7: iS] :
( ( ( $true
= ( X6 @ X7 ) )
& ( $true
= ( X6 @ X8 ) ) )
=> ( $true
= ( X6 @ ( cP @ X8 @ X7 ) ) ) )
& ( $true
= ( X6 @ c0 ) ) )
=> ! [X9: iS] :
( $true
= ( X6 @ X9 ) ) )
& ! [X0: iS,X1: iS] :
( c0
!= ( cP @ X1 @ X0 ) )
& ! [X4: iS,X3: iS,X5: iS,X2: iS] :
( ( ( cP @ X2 @ X5 )
= ( cP @ X3 @ X4 ) )
=> ( ( X4 = X5 )
& ( X2 = X3 ) ) ) )
=> ! [X10: iS > iS > iS > $o] :
( ( $true
& ! [X13: iS,X11: iS,X12: iS] :
( ( ( ( X12 = X13 )
& ( c0 = X11 ) )
| ( ( X11 = X13 )
& ( c0 = X12 ) )
| ? [X16: iS,X17: iS,X18: iS,X19: iS,X15: iS,X14: iS] :
( ( $true
= ( X10 @ X18 @ X19 @ X16 ) )
& ( $true
= ( X10 @ X14 @ X17 @ X15 ) )
& ( ( cP @ X14 @ X18 )
= X11 )
& ( ( cP @ X17 @ X19 )
= X12 )
& ( ( cP @ X15 @ X16 )
= X13 ) ) )
=> ( $true
= ( X10 @ X11 @ X12 @ X13 ) ) ) )
=> ( $true
= ( X10 @ x @ x @ x ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ( ! [X0: iS,X1: iS] :
( c0
!= ( cP @ X1 @ X0 ) )
& ! [X2: iS,X3: iS,X4: iS,X5: iS] :
( ( ( cP @ X2 @ X5 )
= ( cP @ X3 @ X4 ) )
=> ( ( X2 = X3 )
& ( X4 = X5 ) ) )
& ! [X6: iS > $o] :
( ( ( X6 @ c0 )
& ! [X7: iS,X8: iS] :
( ( ( X6 @ X7 )
& ( X6 @ X8 ) )
=> ( X6 @ ( cP @ X8 @ X7 ) ) ) )
=> ! [X9: iS] : ( X6 @ X9 ) ) )
=> ! [X10: iS > iS > iS > $o] :
( ( $true
& ! [X11: iS,X12: iS,X13: iS] :
( ( ? [X14: iS,X15: iS,X16: iS,X17: iS,X18: iS,X19: iS] :
( ( X10 @ X18 @ X19 @ X16 )
& ( X10 @ X14 @ X17 @ X15 )
& ( ( cP @ X15 @ X16 )
= X13 )
& ( ( cP @ X14 @ X18 )
= X11 )
& ( ( cP @ X17 @ X19 )
= X12 ) )
| ( ( X12 = X13 )
& ( c0 = X11 ) )
| ( ( X11 = X13 )
& ( c0 = X12 ) ) )
=> ( X10 @ X11 @ X12 @ X13 ) ) )
=> ( X10 @ x @ x @ x ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X1: iS,X0: iS] :
( ( cP @ X0 @ X1 )
!= c0 )
& ! [X0: iS,X1: iS,X3: iS,X2: iS] :
( ( ( cP @ X0 @ X2 )
= ( cP @ X1 @ X3 ) )
=> ( ( X0 = X1 )
& ( X2 = X3 ) ) )
& ! [X4: iS > $o] :
( ( ( X4 @ c0 )
& ! [X1: iS,X0: iS] :
( ( ( X4 @ X1 )
& ( X4 @ X0 ) )
=> ( X4 @ ( cP @ X0 @ X1 ) ) ) )
=> ! [X0: iS] : ( X4 @ X0 ) ) )
=> ! [X5: iS > iS > iS > $o] :
( ( $true
& ! [X6: iS,X7: iS,X8: iS] :
( ( ? [X9: iS,X13: iS,X14: iS,X11: iS,X10: iS,X12: iS] :
( ( X5 @ X10 @ X12 @ X14 )
& ( X5 @ X9 @ X11 @ X13 )
& ( ( cP @ X13 @ X14 )
= X8 )
& ( ( cP @ X9 @ X10 )
= X6 )
& ( ( cP @ X11 @ X12 )
= X7 ) )
| ( ( X7 = X8 )
& ( c0 = X6 ) )
| ( ( X6 = X8 )
& ( c0 = X7 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) ) )
=> ( X5 @ x @ x @ x ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ! [X1: iS,X0: iS] :
( ( cP @ X0 @ X1 )
!= c0 )
& ! [X0: iS,X1: iS,X3: iS,X2: iS] :
( ( ( cP @ X0 @ X2 )
= ( cP @ X1 @ X3 ) )
=> ( ( X0 = X1 )
& ( X2 = X3 ) ) )
& ! [X4: iS > $o] :
( ( ( X4 @ c0 )
& ! [X1: iS,X0: iS] :
( ( ( X4 @ X1 )
& ( X4 @ X0 ) )
=> ( X4 @ ( cP @ X0 @ X1 ) ) ) )
=> ! [X0: iS] : ( X4 @ X0 ) ) )
=> ! [X5: iS > iS > iS > $o] :
( ( $true
& ! [X6: iS,X7: iS,X8: iS] :
( ( ? [X9: iS,X13: iS,X14: iS,X11: iS,X10: iS,X12: iS] :
( ( X5 @ X10 @ X12 @ X14 )
& ( X5 @ X9 @ X11 @ X13 )
& ( ( cP @ X13 @ X14 )
= X8 )
& ( ( cP @ X9 @ X10 )
= X6 )
& ( ( cP @ X11 @ X12 )
= X7 ) )
| ( ( X7 = X8 )
& ( c0 = X6 ) )
| ( ( X6 = X8 )
& ( c0 = X7 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) ) )
=> ( X5 @ x @ x @ x ) ) ),
file('/export/starexec/sandbox/tmp/tmp.UtTvJCUoO0/Vampire---4.8_30819',cS_INCL_LEM3_pme) ).
thf(f235,plain,
( ! [X0: iS] :
( ( $true
!= ( sK2 @ c0 @ c0 @ c0 ) )
| ( $true
= ( sK2 @ X0 @ X0 @ X0 ) ) )
| spl3_6 ),
inference(beta_eta_normalization,[],[f234]) ).
thf(f234,plain,
( ! [X0: iS] :
( ( $true
= ( ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X0 ) )
| ( $true
!= ( ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 ) ) )
| spl3_6 ),
inference(trivial_inequality_removal,[],[f232]) ).
thf(f232,plain,
( ! [X0: iS] :
( ( $true
!= ( ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 ) )
| ( $true
= ( ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X0 ) )
| ( $true != $true ) )
| spl3_6 ),
inference(superposition,[],[f201,f20]) ).
thf(f20,plain,
! [X3: iS,X0: iS > $o] :
( ( $true
= ( X0 @ ( sK1 @ X0 ) ) )
| ( ( X0 @ X3 )
= $true )
| ( ( X0 @ c0 )
!= $true ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f201,plain,
( ( $true
!= ( sK2
@ ( sK1
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) ) ) )
| spl3_6 ),
inference(avatar_component_clause,[],[f199]) ).
thf(f228,plain,
~ spl3_4,
inference(avatar_contradiction_clause,[],[f227]) ).
thf(f227,plain,
( $false
| ~ spl3_4 ),
inference(trivial_inequality_removal,[],[f212]) ).
thf(f212,plain,
( ( $true != $true )
| ~ spl3_4 ),
inference(superposition,[],[f16,f193]) ).
thf(f193,plain,
( ! [X0: iS] :
( $true
= ( sK2 @ X0 @ X0 @ X0 ) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f192]) ).
thf(f16,plain,
( $true
!= ( sK2 @ x @ x @ x ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f209,plain,
( spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f208,f195,f192]) ).
thf(f195,plain,
( spl3_5
<=> ( $true
= ( sK2
@ ( sK0
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) )
@ ( sK0
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) )
@ ( sK0
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
thf(f208,plain,
( ! [X0: iS] :
( $true
= ( sK2 @ X0 @ X0 @ X0 ) )
| spl3_5 ),
inference(subsumption_resolution,[],[f207,f26]) ).
thf(f207,plain,
( ! [X0: iS] :
( ( $true
!= ( sK2 @ c0 @ c0 @ c0 ) )
| ( $true
= ( sK2 @ X0 @ X0 @ X0 ) ) )
| spl3_5 ),
inference(beta_eta_normalization,[],[f206]) ).
thf(f206,plain,
( ! [X0: iS] :
( ( $true
!= ( ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 ) )
| ( $true
= ( ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X0 ) ) )
| spl3_5 ),
inference(trivial_inequality_removal,[],[f204]) ).
thf(f204,plain,
( ! [X0: iS] :
( ( $true
= ( ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X0 ) )
| ( $true != $true )
| ( $true
!= ( ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 ) ) )
| spl3_5 ),
inference(superposition,[],[f197,f21]) ).
thf(f21,plain,
! [X3: iS,X0: iS > $o] :
( ( ( X0 @ ( sK0 @ X0 ) )
= $true )
| ( ( X0 @ c0 )
!= $true )
| ( ( X0 @ X3 )
= $true ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f197,plain,
( ( $true
!= ( sK2
@ ( sK0
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) )
@ ( sK0
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) )
@ ( sK0
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) ) ) )
| spl3_5 ),
inference(avatar_component_clause,[],[f195]) ).
thf(f202,plain,
( spl3_4
| ~ spl3_5
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f190,f199,f195,f192]) ).
thf(f190,plain,
! [X0: iS] :
( ( $true
!= ( sK2
@ ( sK0
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) )
@ ( sK0
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) )
@ ( sK0
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) ) ) )
| ( $true
= ( sK2 @ X0 @ X0 @ X0 ) )
| ( $true
!= ( sK2
@ ( sK1
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) ) ) ) ),
inference(subsumption_resolution,[],[f187,f26]) ).
thf(f187,plain,
! [X0: iS] :
( ( $true
= ( sK2 @ X0 @ X0 @ X0 ) )
| ( $true
!= ( sK2
@ ( sK1
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) ) ) )
| ( $true
!= ( sK2 @ c0 @ c0 @ c0 ) )
| ( $true
!= ( sK2
@ ( sK0
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) )
@ ( sK0
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) )
@ ( sK0
@ ^ [Y0: iS] : ( sK2 @ Y0 @ Y0 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f186]) ).
thf(f186,plain,
! [X0: iS] :
( ( $true
!= ( sK2
@ ( sK0
@ ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK0
@ ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK0
@ ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( $true
!= ( sK2
@ ( sK1
@ ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK1
@ ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK1
@ ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( $true
= ( ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X0 ) )
| ( $true
!= ( ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 ) ) ),
inference(trivial_inequality_removal,[],[f178]) ).
thf(f178,plain,
! [X0: iS] :
( ( $true != $true )
| ( $true
!= ( ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 ) )
| ( $true
!= ( sK2
@ ( sK0
@ ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK0
@ ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK0
@ ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( $true
!= ( sK2
@ ( sK1
@ ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK1
@ ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK1
@ ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( $true
= ( ^ [Y0: iS] :
( sK2
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X0 ) ) ),
inference(superposition,[],[f22,f29]) ).
thf(f29,plain,
! [X10: iS,X11: iS,X8: iS,X9: iS,X12: iS,X13: iS] :
( ( $true
= ( sK2 @ ( cP @ X8 @ X13 ) @ ( cP @ X11 @ X10 ) @ ( cP @ X9 @ X12 ) ) )
| ( $true
!= ( sK2 @ X8 @ X11 @ X9 ) )
| ( $true
!= ( sK2 @ X13 @ X10 @ X12 ) ) ),
inference(equality_resolution,[],[f28]) ).
thf(f28,plain,
! [X10: iS,X11: iS,X8: iS,X6: iS,X9: iS,X12: iS,X13: iS] :
( ( $true
= ( sK2 @ ( cP @ X8 @ X13 ) @ X6 @ ( cP @ X9 @ X12 ) ) )
| ( $true
!= ( sK2 @ X8 @ X11 @ X9 ) )
| ( $true
!= ( sK2 @ X13 @ X10 @ X12 ) )
| ( ( cP @ X11 @ X10 )
!= X6 ) ),
inference(equality_resolution,[],[f27]) ).
thf(f27,plain,
! [X10: iS,X11: iS,X8: iS,X6: iS,X9: iS,X5: iS,X12: iS,X13: iS] :
( ( $true
= ( sK2 @ ( cP @ X8 @ X13 ) @ X6 @ X5 ) )
| ( ( cP @ X9 @ X12 )
!= X5 )
| ( $true
!= ( sK2 @ X8 @ X11 @ X9 ) )
| ( $true
!= ( sK2 @ X13 @ X10 @ X12 ) )
| ( ( cP @ X11 @ X10 )
!= X6 ) ),
inference(equality_resolution,[],[f17]) ).
thf(f17,plain,
! [X10: iS,X11: iS,X8: iS,X6: iS,X9: iS,X7: iS,X5: iS,X12: iS,X13: iS] :
( ( $true
= ( sK2 @ X7 @ X6 @ X5 ) )
| ( ( cP @ X8 @ X13 )
!= X7 )
| ( ( cP @ X9 @ X12 )
!= X5 )
| ( $true
!= ( sK2 @ X8 @ X11 @ X9 ) )
| ( $true
!= ( sK2 @ X13 @ X10 @ X12 ) )
| ( ( cP @ X11 @ X10 )
!= X6 ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f22,plain,
! [X3: iS,X0: iS > $o] :
( ( $true
!= ( X0 @ ( cP @ ( sK1 @ X0 ) @ ( sK0 @ X0 ) ) ) )
| ( ( X0 @ X3 )
= $true )
| ( ( X0 @ c0 )
!= $true ) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEV199^5 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 11:25:51 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.UtTvJCUoO0/Vampire---4.8_30819
% 0.15/0.37 % (30931)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)
% 0.15/0.37 % (30929)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)
% 0.15/0.37 % (30933)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.37 % (30927)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)
% 0.15/0.37 % (30928)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)
% 0.15/0.37 % (30934)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)
% 0.15/0.37 % (30932)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)
% 0.15/0.38 % (30931)Instruction limit reached!
% 0.15/0.38 % (30931)------------------------------
% 0.15/0.38 % (30931)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (30931)Termination reason: Unknown
% 0.15/0.38 % (30931)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (30931)Memory used [KB]: 1023
% 0.15/0.38 % (30931)Time elapsed: 0.004 s
% 0.15/0.38 % (30931)Instructions burned: 3 (million)
% 0.15/0.38 % (30931)------------------------------
% 0.15/0.38 % (30931)------------------------------
% 0.15/0.38 % (30934)Instruction limit reached!
% 0.15/0.38 % (30934)------------------------------
% 0.15/0.38 % (30934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (30934)Termination reason: Unknown
% 0.15/0.38 % (30934)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (30934)Memory used [KB]: 5500
% 0.15/0.38 % (30934)Time elapsed: 0.004 s
% 0.15/0.38 % (30934)Instructions burned: 3 (million)
% 0.15/0.38 % (30934)------------------------------
% 0.15/0.38 % (30934)------------------------------
% 0.15/0.38 % (30930)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.38 % (30928)Instruction limit reached!
% 0.15/0.38 % (30928)------------------------------
% 0.15/0.38 % (30928)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (30928)Termination reason: Unknown
% 0.15/0.38 % (30928)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (30928)Memory used [KB]: 5500
% 0.15/0.38 % (30928)Time elapsed: 0.005 s
% 0.15/0.38 % (30930)Instruction limit reached!
% 0.15/0.38 % (30930)------------------------------
% 0.15/0.38 % (30930)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (30930)Termination reason: Unknown
% 0.15/0.38 % (30930)Termination phase: Preprocessing 3
% 0.15/0.38
% 0.15/0.38 % (30930)Memory used [KB]: 895
% 0.15/0.38 % (30930)Time elapsed: 0.003 s
% 0.15/0.38 % (30930)Instructions burned: 2 (million)
% 0.15/0.38 % (30930)------------------------------
% 0.15/0.38 % (30930)------------------------------
% 0.15/0.38 % (30928)Instructions burned: 5 (million)
% 0.15/0.38 % (30928)------------------------------
% 0.15/0.38 % (30928)------------------------------
% 0.15/0.39 % (30933)Instruction limit reached!
% 0.15/0.39 % (30933)------------------------------
% 0.15/0.39 % (30933)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (30933)Termination reason: Unknown
% 0.15/0.39 % (30933)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (30933)Memory used [KB]: 5628
% 0.15/0.39 % (30933)Time elapsed: 0.014 s
% 0.15/0.39 % (30933)Instructions burned: 18 (million)
% 0.15/0.39 % (30933)------------------------------
% 0.15/0.39 % (30933)------------------------------
% 0.15/0.39 % (30935)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)
% 0.15/0.39 % (30936)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)
% 0.15/0.39 % (30937)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)
% 0.15/0.39 % (30929)Instruction limit reached!
% 0.15/0.39 % (30929)------------------------------
% 0.15/0.39 % (30929)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (30929)Termination reason: Unknown
% 0.15/0.39 % (30938)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)
% 0.15/0.39 % (30929)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (30929)Memory used [KB]: 5628
% 0.15/0.39 % (30929)Time elapsed: 0.020 s
% 0.15/0.39 % (30929)Instructions burned: 28 (million)
% 0.15/0.39 % (30929)------------------------------
% 0.15/0.39 % (30929)------------------------------
% 0.15/0.39 % (30937)Instruction limit reached!
% 0.15/0.39 % (30937)------------------------------
% 0.15/0.39 % (30937)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (30937)Termination reason: Unknown
% 0.15/0.39 % (30937)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (30937)Memory used [KB]: 5500
% 0.15/0.39 % (30937)Time elapsed: 0.004 s
% 0.15/0.39 % (30937)Instructions burned: 3 (million)
% 0.15/0.39 % (30937)------------------------------
% 0.15/0.39 % (30937)------------------------------
% 0.15/0.40 % (30936)Instruction limit reached!
% 0.15/0.40 % (30936)------------------------------
% 0.15/0.40 % (30936)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (30936)Termination reason: Unknown
% 0.15/0.40 % (30936)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (30936)Memory used [KB]: 5628
% 0.15/0.40 % (30939)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)
% 0.15/0.40 % (30936)Time elapsed: 0.012 s
% 0.15/0.40 % (30936)Instructions burned: 15 (million)
% 0.15/0.40 % (30936)------------------------------
% 0.15/0.40 % (30936)------------------------------
% 0.22/0.41 % (30939)Instruction limit reached!
% 0.22/0.41 % (30939)------------------------------
% 0.22/0.41 % (30939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (30939)Termination reason: Unknown
% 0.22/0.41 % (30939)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (30939)Memory used [KB]: 1023
% 0.22/0.41 % (30939)Time elapsed: 0.007 s
% 0.22/0.41 % (30939)Instructions burned: 7 (million)
% 0.22/0.41 % (30939)------------------------------
% 0.22/0.41 % (30939)------------------------------
% 0.22/0.41 % (30940)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)
% 0.22/0.41 % (30941)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)
% 0.22/0.41 % (30941)Instruction limit reached!
% 0.22/0.41 % (30941)------------------------------
% 0.22/0.41 % (30941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (30941)Termination reason: Unknown
% 0.22/0.41 % (30941)Termination phase: Twee Goal Transformation
% 0.22/0.41
% 0.22/0.41 % (30941)Memory used [KB]: 1023
% 0.22/0.41 % (30941)Time elapsed: 0.004 s
% 0.22/0.41 % (30941)Instructions burned: 3 (million)
% 0.22/0.41 % (30941)------------------------------
% 0.22/0.41 % (30941)------------------------------
% 0.22/0.41 % (30935)Instruction limit reached!
% 0.22/0.41 % (30935)------------------------------
% 0.22/0.41 % (30935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (30935)Termination reason: Unknown
% 0.22/0.41 % (30935)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (30935)Memory used [KB]: 5756
% 0.22/0.41 % (30935)Time elapsed: 0.023 s
% 0.22/0.41 % (30935)Instructions burned: 38 (million)
% 0.22/0.41 % (30935)------------------------------
% 0.22/0.41 % (30935)------------------------------
% 0.22/0.42 % (30942)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)
% 0.22/0.42 % (30942)Instruction limit reached!
% 0.22/0.42 % (30942)------------------------------
% 0.22/0.42 % (30942)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (30942)Termination reason: Unknown
% 0.22/0.42 % (30942)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (30942)Memory used [KB]: 1023
% 0.22/0.42 % (30942)Time elapsed: 0.004 s
% 0.22/0.42 % (30942)Instructions burned: 4 (million)
% 0.22/0.42 % (30942)------------------------------
% 0.22/0.42 % (30942)------------------------------
% 0.22/0.42 % (30940)Instruction limit reached!
% 0.22/0.42 % (30940)------------------------------
% 0.22/0.42 % (30940)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (30940)Termination reason: Unknown
% 0.22/0.42 % (30940)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (30940)Memory used [KB]: 5628
% 0.22/0.42 % (30940)Time elapsed: 0.013 s
% 0.22/0.42 % (30940)Instructions burned: 16 (million)
% 0.22/0.42 % (30940)------------------------------
% 0.22/0.42 % (30940)------------------------------
% 0.22/0.42 % (30943)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)
% 0.22/0.43 % (30943)Instruction limit reached!
% 0.22/0.43 % (30943)------------------------------
% 0.22/0.43 % (30943)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (30943)Termination reason: Unknown
% 0.22/0.43 % (30943)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (30943)Memory used [KB]: 5500
% 0.22/0.43 % (30943)Time elapsed: 0.029 s
% 0.22/0.43 % (30943)Instructions burned: 7 (million)
% 0.22/0.43 % (30944)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.43 % (30943)------------------------------
% 0.22/0.43 % (30943)------------------------------
% 0.22/0.43 % (30945)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.22/0.43 % (30944)Instruction limit reached!
% 0.22/0.43 % (30944)------------------------------
% 0.22/0.43 % (30944)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (30944)Termination reason: Unknown
% 0.22/0.43 % (30944)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (30944)Memory used [KB]: 5500
% 0.22/0.43 % (30944)Time elapsed: 0.004 s
% 0.22/0.43 % (30944)Instructions burned: 4 (million)
% 0.22/0.43 % (30944)------------------------------
% 0.22/0.43 % (30944)------------------------------
% 0.22/0.43 % (30945)Instruction limit reached!
% 0.22/0.43 % (30945)------------------------------
% 0.22/0.43 % (30945)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (30945)Termination reason: Unknown
% 0.22/0.43 % (30945)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (30945)Memory used [KB]: 5500
% 0.22/0.43 % (30945)Time elapsed: 0.005 s
% 0.22/0.43 % (30945)Instructions burned: 4 (million)
% 0.22/0.43 % (30945)------------------------------
% 0.22/0.43 % (30945)------------------------------
% 0.22/0.43 % (30946)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.43 % (30947)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.22/0.44 % (30946)Refutation not found, incomplete strategy
% 0.22/0.44 % (30946)------------------------------
% 0.22/0.44 % (30946)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (30946)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44
% 0.22/0.44 % (30946)Memory used [KB]: 5500
% 0.22/0.44 % (30946)Time elapsed: 0.031 s
% 0.22/0.44 % (30946)Instructions burned: 7 (million)
% 0.22/0.44 % (30946)------------------------------
% 0.22/0.44 % (30946)------------------------------
% 0.22/0.44 % (30948)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.44 % (30949)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 Vampire---4 for (2999ds/902Mi)
% 0.22/0.44 % (30948)Instruction limit reached!
% 0.22/0.44 % (30948)------------------------------
% 0.22/0.44 % (30948)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (30948)Termination reason: Unknown
% 0.22/0.44 % (30948)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (30948)Memory used [KB]: 5500
% 0.22/0.44 % (30948)Time elapsed: 0.006 s
% 0.22/0.44 % (30948)Instructions burned: 6 (million)
% 0.22/0.44 % (30948)------------------------------
% 0.22/0.44 % (30948)------------------------------
% 0.22/0.44 % (30950)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 Vampire---4 for (2999ds/21Mi)
% 0.22/0.45 % (30951)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.22/0.46 % (30951)Instruction limit reached!
% 0.22/0.46 % (30951)------------------------------
% 0.22/0.46 % (30951)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (30951)Termination reason: Unknown
% 0.22/0.46 % (30951)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (30951)Memory used [KB]: 5500
% 0.22/0.46 % (30951)Time elapsed: 0.005 s
% 0.22/0.46 % (30951)Instructions burned: 6 (million)
% 0.22/0.46 % (30951)------------------------------
% 0.22/0.46 % (30951)------------------------------
% 0.22/0.46 % (30950)Instruction limit reached!
% 0.22/0.46 % (30950)------------------------------
% 0.22/0.46 % (30950)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (30950)Termination reason: Unknown
% 0.22/0.46 % (30950)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (30950)Memory used [KB]: 5628
% 0.22/0.46 % (30950)Time elapsed: 0.016 s
% 0.22/0.46 % (30950)Instructions burned: 21 (million)
% 0.22/0.46 % (30950)------------------------------
% 0.22/0.46 % (30950)------------------------------
% 0.22/0.46 % (30952)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.46 % (30952)Instruction limit reached!
% 0.22/0.46 % (30952)------------------------------
% 0.22/0.46 % (30952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (30952)Termination reason: Unknown
% 0.22/0.46 % (30952)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (30952)Memory used [KB]: 5500
% 0.22/0.46 % (30952)Time elapsed: 0.005 s
% 0.22/0.46 % (30952)Instructions burned: 7 (million)
% 0.22/0.46 % (30952)------------------------------
% 0.22/0.46 % (30952)------------------------------
% 0.22/0.47 % (30953)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.22/0.47 % (30954)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on Vampire---4 for (2999ds/779Mi)
% 0.22/0.48 % (30955)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (2998ds/19Mi)
% 0.22/0.48 % (30927)Instruction limit reached!
% 0.22/0.48 % (30927)------------------------------
% 0.22/0.48 % (30927)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (30927)Termination reason: Unknown
% 0.22/0.48 % (30927)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (30927)Memory used [KB]: 6396
% 0.22/0.48 % (30927)Time elapsed: 0.111 s
% 0.22/0.48 % (30927)Instructions burned: 184 (million)
% 0.22/0.48 % (30927)------------------------------
% 0.22/0.48 % (30927)------------------------------
% 0.22/0.49 % (30955)Instruction limit reached!
% 0.22/0.49 % (30955)------------------------------
% 0.22/0.49 % (30955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (30955)Termination reason: Unknown
% 0.22/0.49 % (30955)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (30955)Memory used [KB]: 5628
% 0.22/0.49 % (30955)Time elapsed: 0.011 s
% 0.22/0.49 % (30955)Instructions burned: 19 (million)
% 0.22/0.49 % (30955)------------------------------
% 0.22/0.49 % (30955)------------------------------
% 0.22/0.50 % (30956)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2998ds/879Mi)
% 0.22/0.50 % (30957)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2998ds/17Mi)
% 0.22/0.50 % (30957)Instruction limit reached!
% 0.22/0.50 % (30957)------------------------------
% 0.22/0.50 % (30957)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (30957)Termination reason: Unknown
% 0.22/0.50 % (30957)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (30957)Memory used [KB]: 5628
% 0.22/0.50 % (30957)Time elapsed: 0.009 s
% 0.22/0.50 % (30957)Instructions burned: 17 (million)
% 0.22/0.50 % (30957)------------------------------
% 0.22/0.50 % (30957)------------------------------
% 0.22/0.51 % (30958)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.22/0.51 % (30958)Instruction limit reached!
% 0.22/0.51 % (30958)------------------------------
% 0.22/0.51 % (30958)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (30958)Termination reason: Unknown
% 0.22/0.51 % (30958)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (30958)Memory used [KB]: 1023
% 0.22/0.51 % (30958)Time elapsed: 0.003 s
% 0.22/0.51 % (30958)Instructions burned: 4 (million)
% 0.22/0.51 % (30958)------------------------------
% 0.22/0.51 % (30958)------------------------------
% 0.22/0.51 % (30932)Instruction limit reached!
% 0.22/0.51 % (30932)------------------------------
% 0.22/0.51 % (30932)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (30932)Termination reason: Unknown
% 0.22/0.51 % (30932)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (30932)Memory used [KB]: 6140
% 0.22/0.51 % (30932)Time elapsed: 0.142 s
% 0.22/0.51 % (30932)Instructions burned: 277 (million)
% 0.22/0.51 % (30932)------------------------------
% 0.22/0.51 % (30932)------------------------------
% 0.22/0.52 % (30959)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.22/0.52 % (30960)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.22/0.53 % (30959)Instruction limit reached!
% 0.22/0.53 % (30959)------------------------------
% 0.22/0.53 % (30959)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53 % (30959)Termination reason: Unknown
% 0.22/0.53 % (30959)Termination phase: Saturation
% 0.22/0.53
% 0.22/0.53 % (30959)Memory used [KB]: 5756
% 0.22/0.53 % (30959)Time elapsed: 0.012 s
% 0.22/0.53 % (30959)Instructions burned: 31 (million)
% 0.22/0.53 % (30959)------------------------------
% 0.22/0.53 % (30959)------------------------------
% 0.22/0.54 % (30961)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2998ds/100Mi)
% 0.22/0.55 % (30961)Refutation not found, incomplete strategy
% 0.22/0.55 % (30961)------------------------------
% 0.22/0.55 % (30961)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (30961)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.55
% 0.22/0.55
% 0.22/0.55 % (30961)Memory used [KB]: 5500
% 0.22/0.55 % (30961)Time elapsed: 0.004 s
% 0.22/0.55 % (30961)Instructions burned: 7 (million)
% 0.22/0.55 % (30961)------------------------------
% 0.22/0.55 % (30961)------------------------------
% 0.22/0.55 % (30962)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.22/0.56 % (30962)Instruction limit reached!
% 0.22/0.56 % (30962)------------------------------
% 0.22/0.56 % (30962)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.56 % (30962)Termination reason: Unknown
% 0.22/0.56 % (30962)Termination phase: Property scanning
% 0.22/0.56
% 0.22/0.56 % (30962)Memory used [KB]: 1023
% 0.22/0.56 % (30962)Time elapsed: 0.002 s
% 0.22/0.56 % (30962)Instructions burned: 4 (million)
% 0.22/0.56 % (30962)------------------------------
% 0.22/0.56 % (30962)------------------------------
% 0.22/0.56 % (30963)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on Vampire---4 for (2998ds/20Mi)
% 0.22/0.57 % (30960)Instruction limit reached!
% 0.22/0.57 % (30960)------------------------------
% 0.22/0.57 % (30960)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.57 % (30960)Termination reason: Unknown
% 0.22/0.57 % (30960)Termination phase: Saturation
% 0.22/0.57
% 0.22/0.57 % (30960)Memory used [KB]: 6268
% 0.22/0.57 % (30960)Time elapsed: 0.045 s
% 0.22/0.57 % (30960)Instructions burned: 129 (million)
% 0.22/0.57 % (30960)------------------------------
% 0.22/0.57 % (30960)------------------------------
% 0.22/0.57 % (30963)Instruction limit reached!
% 0.22/0.57 % (30963)------------------------------
% 0.22/0.57 % (30963)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.57 % (30963)Termination reason: Unknown
% 0.22/0.57 % (30963)Termination phase: Saturation
% 0.22/0.57
% 0.22/0.57 % (30963)Memory used [KB]: 5628
% 0.22/0.57 % (30963)Time elapsed: 0.009 s
% 0.22/0.57 % (30963)Instructions burned: 20 (million)
% 0.22/0.57 % (30963)------------------------------
% 0.22/0.57 % (30963)------------------------------
% 0.22/0.58 % (30964)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (2998ds/86Mi)
% 0.22/0.58 % (30965)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on Vampire---4 for (2997ds/107Mi)
% 0.22/0.60 % (30964)First to succeed.
% 2.02/0.60 % (30964)Refutation found. Thanks to Tanya!
% 2.02/0.60 % SZS status Theorem for Vampire---4
% 2.02/0.60 % SZS output start Proof for Vampire---4
% See solution above
% 2.02/0.60 % (30964)------------------------------
% 2.02/0.60 % (30964)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.02/0.60 % (30964)Termination reason: Refutation
% 2.02/0.60
% 2.02/0.60 % (30964)Memory used [KB]: 5884
% 2.02/0.60 % (30964)Time elapsed: 0.023 s
% 2.02/0.60 % (30964)Instructions burned: 59 (million)
% 2.02/0.60 % (30964)------------------------------
% 2.02/0.60 % (30964)------------------------------
% 2.02/0.60 % (30926)Success in time 0.23 s
% 2.02/0.60 % Vampire---4.8 exiting
%------------------------------------------------------------------------------