%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA127^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:45:58 AM UTC 2026
% Result : Theorem 0.84s 0.39s
% Output : Refutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 4
% Syntax : Number of formulae : 48 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 255 ( 95 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 563 ( 61 ~; 41 |; 15 &; 439 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 57 ( 57 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 20 usr; 6 con; 0-4 aty)
% Number of variables : 158 ( 94 ^; 58 !; 6 ?; 158 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
'type/realax/real': $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
'const/realax/real_sub': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
thf(func_def_1,type,
'const/realax/real_neg': 'type/realax/real' > 'type/realax/real' ).
thf(func_def_2,type,
'const/realax/real_add': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
thf(func_def_3,type,
'const/iterate/polynomial_function': ( 'type/realax/real' > 'type/realax/real' ) > $o ).
thf(func_def_7,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_9,type,
sK0: 'type/realax/real' > 'type/realax/real' ).
thf(func_def_10,type,
sK1: 'type/realax/real' > 'type/realax/real' ).
thf(func_def_11,type,
sK2: 'type/realax/real' ).
thf(func_def_12,type,
sK3: 'type/realax/real' ).
thf(func_def_13,type,
sK4: ( 'type/realax/real' > 'type/realax/real' ) > 'type/realax/real' ).
thf(func_def_14,type,
sK5: ( 'type/realax/real' > 'type/realax/real' ) > 'type/realax/real' ).
thf(func_def_15,type,
sK6: ( 'type/realax/real' > 'type/realax/real' ) > 'type/realax/real' ).
thf(func_def_16,type,
sK7: ( 'type/realax/real' > 'type/realax/real' ) > ( 'type/realax/real' > 'type/realax/real' ) > 'type/realax/real' ).
thf(func_def_17,type,
sK8: 'type/realax/real' ).
thf(func_def_18,type,
sK9: 'type/realax/real' ).
thf(func_def_19,type,
sK10: ( 'type/realax/real' > 'type/realax/real' ) > 'type/realax/real' ).
thf(func_def_20,type,
sK11: ( 'type/realax/real' > 'type/realax/real' ) > ( 'type/realax/real' > 'type/realax/real' ) > 'type/realax/real' ).
thf(func_def_21,type,
sK12: ( 'type/realax/real' > 'type/realax/real' ) > ( 'type/realax/real' > 'type/realax/real' ) > 'type/realax/real' ).
thf(f1,axiom,
! [X1: 'type/realax/real' > 'type/realax/real',X0: 'type/realax/real' > 'type/realax/real'] :
( ( ( 'const/iterate/polynomial_function' @ X1 )
& ( 'const/iterate/polynomial_function' @ X0 ) )
=> ( 'const/iterate/polynomial_function'
@ ^ [X2: 'type/realax/real'] : ( 'const/realax/real_add' @ ( X0 @ X2 ) @ ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/POLYNOMIAL_FUNCTION_ADD_') ).
thf(f2,axiom,
! [X0: 'type/realax/real' > 'type/realax/real'] :
( ( 'const/iterate/polynomial_function'
@ ^ [X1: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X0 @ X1 ) ) )
= ( 'const/iterate/polynomial_function' @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/POLYNOMIAL_FUNCTION_NEG_') ).
thf(f3,axiom,
! [X1: 'type/realax/real',X0: 'type/realax/real'] :
( ( 'const/realax/real_sub' @ X0 @ X1 )
= ( 'const/realax/real_add' @ X0 @ ( 'const/realax/real_neg' @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/realax/real_sub_') ).
thf(f4,conjecture,
! [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( ( 'const/iterate/polynomial_function' @ X1 )
& ( 'const/iterate/polynomial_function' @ X0 ) )
=> ( 'const/iterate/polynomial_function'
@ ^ [X2: 'type/realax/real'] : ( 'const/realax/real_sub' @ ( X0 @ X2 ) @ ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/POLYNOMIAL_FUNCTION_SUB_') ).
thf(f5,negated_conjecture,
~ ! [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( ( 'const/iterate/polynomial_function' @ X1 )
& ( 'const/iterate/polynomial_function' @ X0 ) )
=> ( 'const/iterate/polynomial_function'
@ ^ [X2: 'type/realax/real'] : ( 'const/realax/real_sub' @ ( X0 @ X2 ) @ ( X1 @ X2 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f6,plain,
! [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( ( 'const/iterate/polynomial_function' @ X0 )
& ( 'const/iterate/polynomial_function' @ X1 ) )
=> ( 'const/iterate/polynomial_function'
@ ^ [X2: 'type/realax/real'] : ( 'const/realax/real_add' @ ( X1 @ X2 ) @ ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f7,plain,
! [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( ( ( 'const/iterate/polynomial_function' @ X0 )
= $true )
& ( ( 'const/iterate/polynomial_function' @ X1 )
= $true ) )
=> ( $true
= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_add' @ ( X1 @ Y0 ) @ ( X0 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
~ ! [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( ( 'const/iterate/polynomial_function' @ X1 )
& ( 'const/iterate/polynomial_function' @ X0 ) )
=> ( 'const/iterate/polynomial_function'
@ ^ [X2: 'type/realax/real'] : ( 'const/realax/real_sub' @ ( X0 @ X2 ) @ ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f9,plain,
~ ! [X1: 'type/realax/real' > 'type/realax/real',X0: 'type/realax/real' > 'type/realax/real'] :
( ( ( ( 'const/iterate/polynomial_function' @ X0 )
= $true )
& ( ( 'const/iterate/polynomial_function' @ X1 )
= $true ) )
=> ( $true
= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_sub' @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: 'type/realax/real' > 'type/realax/real'] :
( ( 'const/iterate/polynomial_function'
@ ^ [X1: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X0 @ X1 ) ) )
= ( 'const/iterate/polynomial_function' @ X0 ) ),
inference(rectify,[],[f2]) ).
thf(f11,plain,
! [X0: 'type/realax/real' > 'type/realax/real'] :
( ( 'const/iterate/polynomial_function' @ X0 )
= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X0 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/realax/real_sub' @ X1 @ X0 )
= ( 'const/realax/real_add' @ X1 @ ( 'const/realax/real_neg' @ X0 ) ) ),
inference(rectify,[],[f3]) ).
thf(f13,plain,
! [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( $true
= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_add' @ ( X1 @ Y0 ) @ ( X0 @ Y0 ) ) ) )
| ( ( 'const/iterate/polynomial_function' @ X0 )
!= $true )
| ( ( 'const/iterate/polynomial_function' @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f14,plain,
! [X1: 'type/realax/real' > 'type/realax/real',X0: 'type/realax/real' > 'type/realax/real'] :
( ( ( 'const/iterate/polynomial_function' @ X0 )
!= $true )
| ( ( 'const/iterate/polynomial_function' @ X1 )
!= $true )
| ( $true
= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_add' @ ( X1 @ Y0 ) @ ( X0 @ Y0 ) ) ) ) ),
inference(flattening,[],[f13]) ).
thf(f15,plain,
? [X1: 'type/realax/real' > 'type/realax/real',X0: 'type/realax/real' > 'type/realax/real'] :
( ( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_sub' @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) )
& ( ( 'const/iterate/polynomial_function' @ X0 )
= $true )
& ( ( 'const/iterate/polynomial_function' @ X1 )
= $true ) ),
inference(ennf_transformation,[],[f9]) ).
thf(f16,plain,
? [X1: 'type/realax/real' > 'type/realax/real',X0: 'type/realax/real' > 'type/realax/real'] :
( ( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_sub' @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) )
& ( ( 'const/iterate/polynomial_function' @ X1 )
= $true )
& ( ( 'const/iterate/polynomial_function' @ X0 )
= $true ) ),
inference(flattening,[],[f15]) ).
thf(f17,plain,
! [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( ( 'const/iterate/polynomial_function' @ X1 )
!= $true )
| ( ( 'const/iterate/polynomial_function' @ X0 )
!= $true )
| ( ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_add' @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) )
= $true ) ),
inference(rectify,[],[f14]) ).
thf(f18,plain,
? [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_sub' @ ( X1 @ Y0 ) @ ( X0 @ Y0 ) ) ) )
& ( ( 'const/iterate/polynomial_function' @ X0 )
= $true )
& ( ( 'const/iterate/polynomial_function' @ X1 )
= $true ) ),
inference(rectify,[],[f16]) ).
thf(f19,plain,
( ( ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK0 @ Y0 ) ) )
!= $true )
& ( $true
= ( 'const/iterate/polynomial_function' @ sK0 ) )
& ( $true
= ( 'const/iterate/polynomial_function' @ sK1 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f18]) ).
thf(f20,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/realax/real_sub' @ X1 @ X0 )
= ( 'const/realax/real_add' @ X1 @ ( 'const/realax/real_neg' @ X0 ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f21,plain,
! [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_add' @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) )
= $true )
| ( ( 'const/iterate/polynomial_function' @ X1 )
!= $true )
| ( ( 'const/iterate/polynomial_function' @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f22,plain,
! [X0: 'type/realax/real' > 'type/realax/real'] :
( ( 'const/iterate/polynomial_function' @ X0 )
= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X0 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f23,plain,
( $true
= ( 'const/iterate/polynomial_function' @ sK1 ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f24,plain,
( $true
= ( 'const/iterate/polynomial_function' @ sK0 ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f25,plain,
( ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK0 @ Y0 ) ) )
!= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f29,plain,
! [X0: 'type/realax/real' > 'type/realax/real'] :
( ( $true
= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X0 @ Y0 ) ) ) )
| ( ( 'const/iterate/polynomial_function' @ X0 )
= $false ) ),
inference(iff_proxy_clausification,[],[f22]) ).
thf(f60,plain,
! [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( ( ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_add' @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) )
!= ( ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK0 @ Y0 ) ) ) )
| ( ( 'const/iterate/polynomial_function' @ X1 )
!= $true )
| ( ( 'const/iterate/polynomial_function' @ X0 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f25,f21]) ).
thf(f64,plain,
! [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( ( ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_add' @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) )
!= ( ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK0 @ Y0 ) ) ) )
| ( ( 'const/iterate/polynomial_function' @ X1 )
!= $true )
| ( ( 'const/iterate/polynomial_function' @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f60]) ).
thf(f67,plain,
! [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( ( ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_add' @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) )
@ ( sK7 @ X1 @ X0 ) )
!= ( ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK0 @ Y0 ) )
@ ( sK7 @ X1 @ X0 ) ) )
| ( ( 'const/iterate/polynomial_function' @ X1 )
!= $true )
| ( ( 'const/iterate/polynomial_function' @ X0 )
!= $true ) ),
inference(negative_extensionality,[],[f64]) ).
thf(f68,plain,
! [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( ( 'const/realax/real_add' @ ( X0 @ ( sK7 @ X1 @ X0 ) ) @ ( X1 @ ( sK7 @ X1 @ X0 ) ) )
!= ( 'const/realax/real_sub' @ ( sK1 @ ( sK7 @ X1 @ X0 ) ) @ ( sK0 @ ( sK7 @ X1 @ X0 ) ) ) )
| ( ( 'const/iterate/polynomial_function' @ X1 )
!= $true )
| ( ( 'const/iterate/polynomial_function' @ X0 )
!= $true ) ),
inference(beta-eta_normalization,[],[f67]) ).
thf(f71,plain,
! [X2: 'type/realax/real',X0: 'type/realax/real' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( ( 'const/realax/real_sub'
@ ( X0
@ ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X1 @ Y0 ) )
@ X0 ) )
@ X2 )
!= ( 'const/realax/real_sub'
@ ( sK1
@ ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X1 @ Y0 ) )
@ X0 ) )
@ ( sK0
@ ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X1 @ Y0 ) )
@ X0 ) ) ) )
| ( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X1 @ Y0 ) ) ) )
| ( ( 'const/iterate/polynomial_function' @ X0 )
!= $true )
| ( ( X1
@ ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X1 @ Y0 ) )
@ X0 ) )
!= X2 ) ),
inference(constrained_superposition,[],[f68,f20]) ).
thf(f73,plain,
! [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( ( X0
@ ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X0 @ Y0 ) )
@ ^ [Y0: 'type/realax/real'] : ( sK1 @ ( X1 @ Y0 ) ) ) )
!= ( sK0
@ ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X0 @ Y0 ) )
@ ^ [Y0: 'type/realax/real'] : ( sK1 @ ( X1 @ Y0 ) ) ) ) )
| ( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( sK1 @ ( X1 @ Y0 ) ) ) )
| ( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X0 @ Y0 ) ) ) )
| ( ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X0 @ Y0 ) )
@ ^ [Y0: 'type/realax/real'] : ( sK1 @ ( X1 @ Y0 ) ) )
!= ( X1
@ ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X0 @ Y0 ) )
@ ^ [Y0: 'type/realax/real'] : ( sK1 @ ( X1 @ Y0 ) ) ) ) ) ),
inference(equality_resolution,[],[f71]) ).
thf(f75,plain,
! [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] :
( 'const/realax/real_neg'
@ ( ^ [Y1: 'type/realax/real'] : ( sK0 @ ( X1 @ Y1 ) )
@ Y0 ) ) )
!= $true )
| ( ( X0
@ ( sK7
@ ^ [Y0: 'type/realax/real'] :
( 'const/realax/real_neg'
@ ( ^ [Y1: 'type/realax/real'] : ( sK0 @ ( X1 @ Y1 ) )
@ Y0 ) )
@ ^ [Y0: 'type/realax/real'] : ( sK1 @ ( X0 @ Y0 ) ) ) )
!= ( sK7
@ ^ [Y0: 'type/realax/real'] :
( 'const/realax/real_neg'
@ ( ^ [Y1: 'type/realax/real'] : ( sK0 @ ( X1 @ Y1 ) )
@ Y0 ) )
@ ^ [Y0: 'type/realax/real'] : ( sK1 @ ( X0 @ Y0 ) ) ) )
| ( ( X1
@ ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ ( X1 @ Y0 ) ) )
@ ^ [Y0: 'type/realax/real'] : ( sK1 @ ( X0 @ Y0 ) ) ) )
!= ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ ( X1 @ Y0 ) ) )
@ ^ [Y0: 'type/realax/real'] : ( sK1 @ ( X0 @ Y0 ) ) ) )
| ( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( sK1 @ ( X0 @ Y0 ) ) ) ) ),
inference(equality_resolution,[],[f73]) ).
thf(f77,plain,
! [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ ( X1 @ Y0 ) ) )
@ ^ [Y0: 'type/realax/real'] : ( sK1 @ ( X0 @ Y0 ) ) )
!= ( X0
@ ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ ( X1 @ Y0 ) ) )
@ ^ [Y0: 'type/realax/real'] : ( sK1 @ ( X0 @ Y0 ) ) ) ) )
| ( ( X1
@ ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ ( X1 @ Y0 ) ) )
@ ^ [Y0: 'type/realax/real'] : ( sK1 @ ( X0 @ Y0 ) ) ) )
!= ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ ( X1 @ Y0 ) ) )
@ ^ [Y0: 'type/realax/real'] : ( sK1 @ ( X0 @ Y0 ) ) ) )
| ( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ ( X1 @ Y0 ) ) ) ) )
| ( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( sK1 @ ( X0 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f75]) ).
thf(f79,plain,
! [X0: 'type/realax/real' > 'type/realax/real'] :
( ( ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ ( X0 @ Y0 ) ) )
@ ^ [Y0: 'type/realax/real'] :
( sK1
@ ( ^ [Y1: 'type/realax/real'] : Y1
@ Y0 ) ) )
!= ( X0
@ ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ ( X0 @ Y0 ) ) )
@ ^ [Y0: 'type/realax/real'] :
( sK1
@ ( ^ [Y1: 'type/realax/real'] : Y1
@ Y0 ) ) ) ) )
| ( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ ( X0 @ Y0 ) ) ) ) )
| ( ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] :
( sK1
@ ( ^ [Y1: 'type/realax/real'] : Y1
@ Y0 ) ) )
!= $true ) ),
inference(equality_resolution,[],[f77]) ).
thf(f81,plain,
! [X0: 'type/realax/real' > 'type/realax/real'] :
( ( $true
!= ( 'const/iterate/polynomial_function' @ sK1 ) )
| ( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ ( X0 @ Y0 ) ) ) ) )
| ( ( X0
@ ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ ( X0 @ Y0 ) ) )
@ sK1 ) )
!= ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ ( X0 @ Y0 ) ) )
@ sK1 ) ) ),
inference(beta-eta_normalization,[],[f79]) ).
thf(f84,plain,
! [X0: 'type/realax/real' > 'type/realax/real'] :
( ( ( X0
@ ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ ( X0 @ Y0 ) ) )
@ sK1 ) )
!= ( sK7
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ ( X0 @ Y0 ) ) )
@ sK1 ) )
| ( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ ( X0 @ Y0 ) ) ) ) ) ),
inference(forward_subsumption_resolution,[],[f81,f23]) ).
thf(f86,plain,
( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] :
( 'const/realax/real_neg'
@ ( sK0
@ ( ^ [Y1: 'type/realax/real'] : Y1
@ Y0 ) ) ) ) ),
inference(equality_resolution,[],[f84]) ).
thf(f89,plain,
( ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ Y0 ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f86]) ).
thf(f93,plain,
! [X0: 'type/realax/real' > 'type/realax/real'] :
( ( ( 'const/iterate/polynomial_function' @ X0 )
= $false )
| ( ( ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X0 @ Y0 ) ) )
!= ( ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ Y0 ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f89,f29]) ).
thf(f96,plain,
! [X0: 'type/realax/real' > 'type/realax/real'] :
( ( ( ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X0 @ Y0 ) ) )
!= ( ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ Y0 ) ) ) )
| ( ( 'const/iterate/polynomial_function' @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f93]) ).
thf(f104,plain,
! [X0: 'type/realax/real' > 'type/realax/real'] :
( ( ( 'const/iterate/polynomial_function' @ X0 )
= $false )
| ( ( ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( sK0 @ Y0 ) )
@ ( sK10 @ X0 ) )
!= ( ^ [Y0: 'type/realax/real'] : ( 'const/realax/real_neg' @ ( X0 @ Y0 ) )
@ ( sK10 @ X0 ) ) ) ),
inference(negative_extensionality,[],[f96]) ).
thf(f105,plain,
! [X0: 'type/realax/real' > 'type/realax/real'] :
( ( ( 'const/realax/real_neg' @ ( sK0 @ ( sK10 @ X0 ) ) )
!= ( 'const/realax/real_neg' @ ( X0 @ ( sK10 @ X0 ) ) ) )
| ( ( 'const/iterate/polynomial_function' @ X0 )
= $false ) ),
inference(beta-eta_normalization,[],[f104]) ).
thf(f107,plain,
! [X0: 'type/realax/real' > 'type/realax/real'] :
( ( ( X0
@ ( sK10
@ ^ [Y0: 'type/realax/real'] : ( sK0 @ ( X0 @ Y0 ) ) ) )
!= ( sK10
@ ^ [Y0: 'type/realax/real'] : ( sK0 @ ( X0 @ Y0 ) ) ) )
| ( $false
= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : ( sK0 @ ( X0 @ Y0 ) ) ) ) ),
inference(equality_resolution,[],[f105]) ).
thf(f113,plain,
( $false
= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] :
( sK0
@ ( ^ [Y1: 'type/realax/real'] : Y1
@ Y0 ) ) ) ),
inference(equality_resolution,[],[f107]) ).
thf(f117,plain,
( $false
= ( 'const/iterate/polynomial_function' @ sK0 ) ),
inference(beta-eta_normalization,[],[f113]) ).
thf(f123,plain,
$false = $true,
inference(constrained_superposition,[],[f24,f117]) ).
thf(f131,plain,
$false,
inference(trivial_inequality_removal,[],[f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA127^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 17:47:42 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.35 % (935494)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.35 % (935506)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4031699979:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.35 % (935506)Instruction limit reached!
% 0.21/0.35 % (935506)------------------------------
% 0.21/0.35 % (935506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (935506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (935506)CaDiCaL version: 2.1.3
% 0.21/0.35 % (935506)Termination reason: Instruction limit
% 0.21/0.35 % (935506)Termination phase: Saturation
% 0.21/0.35 % (935506)Time elapsed: 0.002 s
% 0.21/0.35 % (935506)Peak memory usage: 12 MB
% 0.21/0.35 % (935506)Instructions burned: 6 (million)
% 0.21/0.35 % (935510)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.35 % (935510)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.35 % (935505)lrs+10_16_si=on:nwc=1.5:random_seed=1392256625:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.35 % (935504)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1159323147:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.35 % (935508)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2385640724:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.35 % (935507)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2237400368:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.21/0.35 % (935510)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=938538526:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.35 % (935508)Refutation not found, incomplete strategy
% 0.21/0.35 % (935508)------------------------------
% 0.21/0.35 % (935508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (935508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (935508)CaDiCaL version: 2.1.3
% 0.21/0.35 % (935508)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.35 % (935508)Time elapsed: 0.001 s
% 0.21/0.35 % (935508)Peak memory usage: 12 MB
% 0.21/0.35 % (935508)Instructions burned: 1 (million)
% 0.21/0.35 % (935508)------------------------------
% 0.21/0.35 % (935508)------------------------------
% 0.21/0.35 % (935509)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3137687823:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.35 % (935507)Refutation not found, incomplete strategy
% 0.21/0.35 % (935507)------------------------------
% 0.21/0.35 % (935507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (935507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (935507)CaDiCaL version: 2.1.3
% 0.21/0.35 % (935507)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.35 % (935507)Time elapsed: 0.002 s
% 0.21/0.35 % (935507)Peak memory usage: 12 MB
% 0.21/0.35 % (935507)Instructions burned: 2 (million)
% 0.21/0.35 % (935510)Refutation not found, incomplete strategy
% 0.21/0.35 % (935510)------------------------------
% 0.21/0.35 % (935510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (935510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (935510)CaDiCaL version: 2.1.3
% 0.21/0.35 % (935510)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.35 % (935510)Time elapsed: 0.003 s
% 0.21/0.35 % (935507)------------------------------
% 0.21/0.35 % (935507)------------------------------
% 0.21/0.35 % (935510)Peak memory usage: 12 MB
% 0.21/0.35 % (935510)Instructions burned: 3 (million)
% 0.21/0.35 % (935510)------------------------------
% 0.21/0.35 % (935510)------------------------------
% 0.21/0.35 % (935517)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1439814048:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.39 % (935517)Instruction limit reached!
% 0.21/0.39 % (935517)------------------------------
% 0.21/0.39 % (935517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.39 % (935517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.39 % (935517)CaDiCaL version: 2.1.3
% 0.21/0.39 % (935517)Termination reason: Instruction limit
% 0.21/0.39 % (935517)Termination phase: Saturation
% 0.21/0.39 % (935517)Time elapsed: 0.001 s
% 0.21/0.39 % (935517)Peak memory usage: 12 MB
% 0.21/0.39 % (935517)Instructions burned: 2 (million)
% 0.21/0.39 % (935505)Instruction limit reached!
% 0.21/0.39 % (935505)------------------------------
% 0.21/0.39 % (935505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.39 % (935505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.39 % (935505)CaDiCaL version: 2.1.3
% 0.21/0.39 % (935505)Termination reason: Instruction limit
% 0.21/0.39 % (935505)Termination phase: Saturation
% 0.21/0.39 % (935505)Time elapsed: 0.011 s
% 0.21/0.39 % (935505)Peak memory usage: 12 MB
% 0.21/0.39 % (935505)Instructions burned: 19 (million)
% 0.21/0.39 % (935531)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3296616041:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.21/0.39 % (935531)Instruction limit reached!
% 0.21/0.39 % (935531)------------------------------
% 0.21/0.39 % (935531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.39 % (935531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.39 % (935531)CaDiCaL version: 2.1.3
% 0.21/0.39 % (935531)Termination reason: Instruction limit
% 0.21/0.39 % (935531)Termination phase: Saturation
% 0.21/0.39 % (935531)Time elapsed: 0.005 s
% 0.21/0.39 % (935531)Peak memory usage: 12 MB
% 0.21/0.39 % (935531)Instructions burned: 15 (million)
% 0.21/0.39 % (935528)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.39 % (935532)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.39 % (935532)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.39 % (935526)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2596874540:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.21/0.39 % (935528)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=887541579:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.21/0.39 % (935532)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4208729929:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.21/0.39 % (935533)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1248597019:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.21/0.39 % (935526)Instruction limit reached!
% 0.21/0.39 % (935526)------------------------------
% 0.21/0.39 % (935526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.39 % (935526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.39 % (935526)CaDiCaL version: 2.1.3
% 0.21/0.39 % (935526)Termination reason: Instruction limit
% 0.21/0.39 % (935526)Termination phase: Saturation
% 0.21/0.39 % (935526)Time elapsed: 0.004 s
% 0.21/0.39 % (935526)Peak memory usage: 11 MB
% 0.21/0.39 % (935526)Instructions burned: 6 (million)
% 0.21/0.39 % (935528)Instruction limit reached!
% 0.21/0.39 % (935528)------------------------------
% 0.21/0.39 % (935528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.39 % (935528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.39 % (935528)CaDiCaL version: 2.1.3
% 0.21/0.39 % (935528)Termination reason: Instruction limit
% 0.21/0.39 % (935528)Termination phase: Saturation
% 0.21/0.39 % (935528)Time elapsed: 0.005 s
% 0.21/0.39 % (935528)Peak memory usage: 12 MB
% 0.21/0.39 % (935528)Instructions burned: 7 (million)
% 0.21/0.39 % (935504)Instruction limit reached!
% 0.84/0.39 % (935504)------------------------------
% 0.84/0.39 % (935504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (935504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (935504)CaDiCaL version: 2.1.3
% 0.84/0.39 % (935504)Termination reason: Instruction limit
% 0.84/0.39 % (935504)Termination phase: Saturation
% 0.84/0.39 % (935504)Time elapsed: 0.041 s
% 0.84/0.39 % (935504)Peak memory usage: 13 MB
% 0.84/0.39 % (935504)Instructions burned: 88 (million)
% 0.84/0.39 % (935509)Instruction limit reached!
% 0.84/0.39 % (935509)------------------------------
% 0.84/0.39 % (935509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (935509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (935509)CaDiCaL version: 2.1.3
% 0.84/0.39 % (935509)Termination reason: Instruction limit
% 0.84/0.39 % (935509)Termination phase: Saturation
% 0.84/0.39 % (935509)Time elapsed: 0.039 s
% 0.84/0.39 % (935509)Peak memory usage: 12 MB
% 0.84/0.39 % (935509)Instructions burned: 76 (million)
% 0.84/0.39 % (935536)lrs+10_1_si=on:cs=on:random_seed=1274592058:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.84/0.39 % (935545)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.84/0.39 % (935545)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3645117871:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.84/0.39 % (935536)Instruction limit reached!
% 0.84/0.39 % (935536)------------------------------
% 0.84/0.39 % (935536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (935536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (935536)CaDiCaL version: 2.1.3
% 0.84/0.39 % (935536)Termination reason: Instruction limit
% 0.84/0.39 % (935536)Termination phase: Saturation
% 0.84/0.39 % (935536)Time elapsed: 0.006 s
% 0.84/0.39 % (935536)Peak memory usage: 12 MB
% 0.84/0.39 % (935536)Instructions burned: 8 (million)
% 0.84/0.39 % (935545)Instruction limit reached!
% 0.84/0.39 % (935545)------------------------------
% 0.84/0.39 % (935545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (935545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (935545)CaDiCaL version: 2.1.3
% 0.84/0.39 % (935545)Termination reason: Instruction limit
% 0.84/0.39 % (935545)Time elapsed: 0.001 s
% 0.84/0.39 % (935545)Peak memory usage: 12 MB
% 0.84/0.39 % (935545)Instructions burned: 3 (million)
% 0.84/0.39 % (935547)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=7973876:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.84/0.39 % (935532)Instruction limit reached!
% 0.84/0.39 % (935532)------------------------------
% 0.84/0.39 % (935532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (935532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (935532)CaDiCaL version: 2.1.3
% 0.84/0.39 % (935532)Termination reason: Instruction limit
% 0.84/0.39 % (935532)Termination phase: Saturation
% 0.84/0.39 % (935532)Time elapsed: 0.030 s
% 0.84/0.39 % (935532)Peak memory usage: 12 MB
% 0.84/0.39 % (935532)Instructions burned: 28 (million)
% 0.84/0.39 % (935548)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4153097173:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.84/0.39 % (935556)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4220196954:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.84/0.39 % (935549)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3134540278:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.84/0.39 % (935548)Refutation not found, incomplete strategy
% 0.84/0.39 % (935548)------------------------------
% 0.84/0.39 % (935548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (935548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (935548)CaDiCaL version: 2.1.3
% 0.84/0.39 % (935548)Termination reason: Refutation not found, incomplete strategy
% 0.84/0.39 % (935548)Time elapsed: 0.002 s
% 0.84/0.39 % (935548)Peak memory usage: 12 MB
% 0.84/0.39 % (935548)Instructions burned: 1 (million)
% 0.84/0.39 % (935548)------------------------------
% 0.84/0.39 % (935548)------------------------------
% 0.84/0.39 % (935549)Refutation not found, incomplete strategy
% 0.84/0.39 % (935549)------------------------------
% 0.84/0.39 % (935549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (935549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (935549)CaDiCaL version: 2.1.3
% 0.84/0.39 % (935549)Termination reason: Refutation not found, incomplete strategy
% 0.84/0.39 % (935549)Time elapsed: 0.003 s
% 0.84/0.39 % (935549)Peak memory usage: 12 MB
% 0.84/0.39 % (935549)Instructions burned: 1 (million)
% 0.84/0.39 % (935549)------------------------------
% 0.84/0.39 % (935549)------------------------------
% 0.84/0.39 % (935556)Instruction limit reached!
% 0.84/0.39 % (935556)------------------------------
% 0.84/0.39 % (935556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (935556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (935556)CaDiCaL version: 2.1.3
% 0.84/0.39 % (935556)Termination reason: Instruction limit
% 0.84/0.39 % (935556)Termination phase: Saturation
% 0.84/0.39 % (935556)Time elapsed: 0.007 s
% 0.84/0.39 % (935556)Peak memory usage: 12 MB
% 0.84/0.39 % (935556)Instructions burned: 16 (million)
% 0.84/0.39 % (935533)Instruction limit reached!
% 0.84/0.39 % (935533)------------------------------
% 0.84/0.39 % (935533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (935533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (935533)CaDiCaL version: 2.1.3
% 0.84/0.39 % (935533)Termination reason: Instruction limit
% 0.84/0.39 % (935533)Termination phase: Saturation
% 0.84/0.39 % (935533)Time elapsed: 0.052 s
% 0.84/0.39 % (935533)Peak memory usage: 12 MB
% 0.84/0.39 % (935533)Instructions burned: 86 (million)
% 0.84/0.39 % (935547)Instruction limit reached!
% 0.84/0.39 % (935547)------------------------------
% 0.84/0.39 % (935547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (935547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (935547)CaDiCaL version: 2.1.3
% 0.84/0.39 % (935547)Termination reason: Instruction limit
% 0.84/0.39 % (935547)Termination phase: Saturation
% 0.84/0.39 % (935547)Time elapsed: 0.030 s
% 0.84/0.39 % (935547)Peak memory usage: 12 MB
% 0.84/0.39 % (935547)Instructions burned: 39 (million)
% 0.84/0.39 % (935559)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3867661796:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.84/0.39 % (935567)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1944367886:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.84/0.39 % (935571)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3559123590:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.84/0.39 % (935574)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2570880029:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.84/0.39 % (935571)Instruction limit reached!
% 0.84/0.39 % (935571)------------------------------
% 0.84/0.39 % (935571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (935571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (935571)CaDiCaL version: 2.1.3
% 0.84/0.39 % (935571)Termination reason: Instruction limit
% 0.84/0.39 % (935571)Termination phase: Saturation
% 0.84/0.39 % (935571)Time elapsed: 0.003 s
% 0.84/0.39 % (935571)Peak memory usage: 11 MB
% 0.84/0.39 % (935571)Instructions burned: 2 (million)
% 0.84/0.39 % (935574) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-935494-935574"...
% 0.84/0.39 % (935574)...printing done.
% 0.84/0.39 % (935574)Refutation found. Thanks to Tanya!
% 0.84/0.39 % SZS status Theorem for theBenchmark
% 0.84/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.84/0.39 % (935574)------------------------------
% 0.84/0.39 % (935574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (935574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (935574)CaDiCaL version: 2.1.3
% 0.84/0.39 % (935574)Termination reason: Refutation
% 0.84/0.39 % (935574)Time elapsed: 0.009 s
% 0.84/0.39 % (935574)Peak memory usage: 12 MB
% 0.84/0.39 % (935574)Instructions burned: 22 (million)
% 0.84/0.39 % (935494)Success in time 0.14 s
% 0.84/0.39 % Vampire exiting
%------------------------------------------------------------------------------