%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU579^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 08:32:32 AM UTC 2026
% Result : Theorem 10.00s 1.91s
% Output : Refutation 10.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 13
% Syntax : Number of formulae : 129 ( 53 unt; 0 typ; 8 def)
% Number of atoms : 1055 ( 252 equ; 0 cnn)
% Maximal formula atoms : 6 ( 8 avg)
% Number of connectives : 1253 ( 8 ~; 107 |; 15 &; 893 @)
% ( 0 <=>; 132 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 27 usr; 17 con; 0-4 aty)
% ( 98 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 259 ( 110 ^; 145 !; 4 ?; 259 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
powerset: $i > $i ).
thf(func_def_2,type,
powersetI: $o ).
thf(func_def_4,type,
powersetE: $o ).
thf(func_def_5,type,
subset: $i > $i > $o ).
thf(func_def_6,type,
subsetI2: $o ).
thf(func_def_7,type,
subsetE: $o ).
thf(func_def_8,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_9,type,
vIMP: $o > $o > $o ).
thf(func_def_10,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_18,type,
sF2: $o ).
thf(func_def_19,type,
sF3: $o ).
thf(func_def_20,type,
sF4: $o ).
thf(func_def_21,type,
sF5: $o ).
thf(func_def_24,type,
sF8: $o ).
thf(func_def_25,type,
sF9: $o ).
thf(func_def_26,type,
vNOT: $o > $o ).
thf(func_def_29,type,
sK12: $i > $i > $i ).
thf(func_def_35,type,
sK18: $i > $i > $i ).
thf(f1,axiom,
( powersetI
= ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) )
=> ( in @ X1 @ ( powerset @ X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetI) ).
thf(f2,axiom,
( powersetE
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetE) ).
thf(f3,axiom,
( subsetI2
= ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) )
=> ( subset @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetI2) ).
thf(f4,axiom,
( subsetE
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ X1 )
=> ( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetE) ).
thf(f5,conjecture,
( powersetI
=> ( powersetE
=> ( subsetI2
=> ( subsetE
=> ! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
=> ( subset @ ( powerset @ X0 ) @ ( powerset @ X1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetsubset) ).
thf(f6,negated_conjecture,
~ ( powersetI
=> ( powersetE
=> ( subsetI2
=> ( subsetE
=> ! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
=> ( subset @ ( powerset @ X0 ) @ ( powerset @ X1 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
thf(f7,plain,
( powersetI
= ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) )
=> ( in @ X1 @ ( powerset @ X0 ) ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f8,plain,
( powersetI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
( powersetE
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f10,plain,
( powersetE
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y2 ) )
=> ( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
( subsetI2
= ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) )
=> ( subset @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f12,plain,
( subsetI2
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f13,plain,
( subsetE
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ X1 )
=> ( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f14,plain,
( subsetE
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y2 @ Y1 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f13]) ).
thf(f15,plain,
~ ( powersetI
=> ( powersetE
=> ( subsetI2
=> ( subsetE
=> ! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
=> ( subset @ ( powerset @ X0 ) @ ( powerset @ X1 ) ) ) ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f16,plain,
~ ( ( powersetI = $true )
=> ( ( powersetE = $true )
=> ( ( subsetI2 = $true )
=> ( ( subsetE = $true )
=> ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
=> ( ( subset @ ( powerset @ X0 ) @ ( powerset @ X1 ) )
= $true ) ) ) ) ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
( ? [X0: $i,X1: $i] :
( ( ( subset @ ( powerset @ X0 ) @ ( powerset @ X1 ) )
!= $true )
& ( ( subset @ X0 @ X1 )
= $true ) )
& ( subsetE = $true )
& ( subsetI2 = $true )
& ( powersetE = $true )
& ( powersetI = $true ) ),
inference(ennf_transformation,[],[f16]) ).
thf(f18,plain,
( ? [X0: $i,X1: $i] :
( ( ( subset @ ( powerset @ X0 ) @ ( powerset @ X1 ) )
!= $true )
& ( ( subset @ X0 @ X1 )
= $true ) )
& ( subsetE = $true )
& ( subsetI2 = $true )
& ( powersetE = $true )
& ( powersetI = $true ) ),
inference(flattening,[],[f17]) ).
thf(f19,plain,
( ( $true
!= ( subset @ ( powerset @ sK0 ) @ ( powerset @ sK1 ) ) )
& ( $true
= ( subset @ sK0 @ sK1 ) )
& ( subsetE = $true )
& ( subsetI2 = $true )
& ( powersetE = $true )
& ( powersetI = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f18]) ).
thf(f20,plain,
( powersetI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f21,plain,
( powersetE
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y2 ) )
=> ( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f22,plain,
( subsetI2
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f23,plain,
( subsetE
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y2 @ Y1 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f24,plain,
powersetI = $true,
inference(cnf_transformation,[],[f19]) ).
thf(f25,plain,
powersetE = $true,
inference(cnf_transformation,[],[f19]) ).
thf(f26,plain,
subsetI2 = $true,
inference(cnf_transformation,[],[f19]) ).
thf(f27,plain,
subsetE = $true,
inference(cnf_transformation,[],[f19]) ).
thf(f28,plain,
( $true
= ( subset @ sK0 @ sK1 ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f29,plain,
( $true
!= ( subset @ ( powerset @ sK0 ) @ ( powerset @ sK1 ) ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f32,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f20,f24]) ).
thf(f33,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y2 ) )
=> ( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f21,f25]) ).
thf(f34,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) ) )
= $true ),
inference(definition_unfolding,[],[f22,f26]) ).
thf(f35,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y2 @ Y1 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y0 @ Y1 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f23,f27]) ).
thf(f36,definition,
( sF2
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
thf(f37,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) )
= sF2 ),
inference(reorient_equations,[],[f36]) ).
thf(f38,plain,
$true = sF2,
inference(definition_folding,[],[f32,f37]) ).
thf(f39,definition,
( sF3
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y2 ) )
=> ( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
thf(f40,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y2 ) )
=> ( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ Y2 ) ) ) ) ) )
= sF3 ),
inference(reorient_equations,[],[f39]) ).
thf(f41,plain,
$true = sF3,
inference(definition_folding,[],[f33,f40]) ).
thf(f42,definition,
( sF4
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
thf(f43,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) ) )
= sF4 ),
inference(reorient_equations,[],[f42]) ).
thf(f44,plain,
$true = sF4,
inference(definition_folding,[],[f34,f43]) ).
thf(f45,definition,
( sF5
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y2 @ Y1 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y0 @ Y1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
thf(f46,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y2 @ Y1 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y0 @ Y1 ) ) ) ) ) )
= sF5 ),
inference(reorient_equations,[],[f45]) ).
thf(f47,plain,
$true = sF5,
inference(definition_folding,[],[f35,f46]) ).
thf(f48,definition,
( sF6
= ( powerset @ sK0 ) ),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
thf(f49,plain,
( ( powerset @ sK0 )
= sF6 ),
inference(reorient_equations,[],[f48]) ).
thf(f50,definition,
( sF7
= ( powerset @ sK1 ) ),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
thf(f51,plain,
( ( powerset @ sK1 )
= sF7 ),
inference(reorient_equations,[],[f50]) ).
thf(f52,definition,
( sF8
= ( subset @ sF6 @ sF7 ) ),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
thf(f53,plain,
( ( subset @ sF6 @ sF7 )
= sF8 ),
inference(reorient_equations,[],[f52]) ).
thf(f54,plain,
$true != sF8,
inference(definition_folding,[],[f29,f53,f51,f49]) ).
thf(f55,definition,
( sF9
= ( subset @ sK0 @ sK1 ) ),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
thf(f56,plain,
( ( subset @ sK0 @ sK1 )
= sF9 ),
inference(reorient_equations,[],[f55]) ).
thf(f57,plain,
$true = sF9,
inference(definition_folding,[],[f28,f56]) ).
thf(f58,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) )
= $true )
| ( $false = sF2 ) ),
inference(iff_proxy_clausification,[],[f37]) ).
thf(f69,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) )
@ X1 ) )
| ( $false = sF2 ) ),
inference(pi_proxy_clausification,[],[f58]) ).
thf(f70,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X1 )
=> ( in @ Y1 @ Y0 ) ) )
=> ( in @ X1 @ ( powerset @ Y0 ) ) ) ) )
| ( $false = sF2 ) ),
inference(beta-eta_normalization,[],[f69]) ).
thf(f71,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X1 )
=> ( in @ Y1 @ Y0 ) ) )
=> ( in @ X1 @ ( powerset @ Y0 ) ) )
@ X2 ) )
| ( $false = sF2 ) ),
inference(pi_proxy_clausification,[],[f70]) ).
thf(f72,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) ) )
=> ( in @ X1 @ ( powerset @ X2 ) ) ) )
| ( $false = sF2 ) ),
inference(beta-eta_normalization,[],[f71]) ).
thf(f73,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) ) ) )
| ( $false = sF2 )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f72]) ).
thf(f74,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) )
@ ( sK12 @ X1 @ X2 ) ) )
| ( $false = sF2 )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(sigma_proxy_clausification,[],[f73]) ).
thf(f75,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( in @ ( sK12 @ X1 @ X2 ) @ X1 )
=> ( in @ ( sK12 @ X1 @ X2 ) @ X2 ) ) )
| ( $false = sF2 )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f74]) ).
thf(f76,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( in @ ( sK12 @ X1 @ X2 ) @ X2 ) )
| ( $false = sF2 )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f75]) ).
thf(f77,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( sK12 @ X1 @ X2 ) @ X1 ) )
| ( $false = sF2 )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f75]) ).
thf(f78,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y2 ) )
=> ( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ Y2 ) ) ) ) ) )
= $true )
| ( $false = sF3 ) ),
inference(iff_proxy_clausification,[],[f40]) ).
thf(f90,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y2 ) )
=> ( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ Y2 ) ) ) ) )
@ X1 ) )
| ( $false = sF3 ) ),
inference(pi_proxy_clausification,[],[f78]) ).
thf(f91,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( ( in @ X1 @ Y0 )
=> ( in @ X1 @ Y1 ) ) ) ) ) )
| ( $false = sF3 ) ),
inference(beta-eta_normalization,[],[f90]) ).
thf(f92,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( ( in @ X1 @ Y0 )
=> ( in @ X1 @ Y1 ) ) ) )
@ X2 ) )
| ( $false = sF3 ) ),
inference(pi_proxy_clausification,[],[f91]) ).
thf(f93,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X2 @ ( powerset @ Y0 ) )
=> ( ( in @ X1 @ X2 )
=> ( in @ X1 @ Y0 ) ) ) ) )
| ( $false = sF3 ) ),
inference(beta-eta_normalization,[],[f92]) ).
thf(f94,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( in @ X2 @ ( powerset @ Y0 ) )
=> ( ( in @ X1 @ X2 )
=> ( in @ X1 @ Y0 ) ) )
@ X3 ) )
| ( $false = sF3 ) ),
inference(pi_proxy_clausification,[],[f93]) ).
thf(f95,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ( in @ X2 @ ( powerset @ X3 ) )
=> ( ( in @ X1 @ X2 )
=> ( in @ X1 @ X3 ) ) ) )
| ( $false = sF3 ) ),
inference(beta-eta_normalization,[],[f94]) ).
thf(f96,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X2 @ ( powerset @ X3 ) ) )
| ( $false = sF3 )
| ( $true
= ( ( in @ X1 @ X2 )
=> ( in @ X1 @ X3 ) ) ) ),
inference(imp_proxy_clausification,[],[f95]) ).
thf(f97,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X2 @ ( powerset @ X3 ) ) )
| ( $false = sF3 )
| ( $false
= ( in @ X1 @ X2 ) )
| ( $true
= ( in @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f96]) ).
thf(f98,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) ) )
= $true )
| ( $false = sF4 ) ),
inference(iff_proxy_clausification,[],[f43]) ).
thf(f109,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) )
@ X1 ) )
| ( $false = sF4 ) ),
inference(pi_proxy_clausification,[],[f98]) ).
thf(f110,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ X1 ) ) )
=> ( subset @ Y0 @ X1 ) ) ) )
| ( $false = sF4 ) ),
inference(beta-eta_normalization,[],[f109]) ).
thf(f111,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ X1 ) ) )
=> ( subset @ Y0 @ X1 ) )
@ X2 ) )
| ( $false = sF4 ) ),
inference(pi_proxy_clausification,[],[f110]) ).
thf(f112,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X1 ) ) )
=> ( subset @ X2 @ X1 ) ) )
| ( $false = sF4 ) ),
inference(beta-eta_normalization,[],[f111]) ).
thf(f113,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X1 ) ) ) )
| ( $false = sF4 )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f112]) ).
thf(f114,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X1 ) )
@ ( sK18 @ X1 @ X2 ) ) )
| ( $false = sF4 )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f113]) ).
thf(f115,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( in @ ( sK18 @ X1 @ X2 ) @ X2 )
=> ( in @ ( sK18 @ X1 @ X2 ) @ X1 ) ) )
| ( $false = sF4 )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f114]) ).
thf(f116,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( in @ ( sK18 @ X1 @ X2 ) @ X1 ) )
| ( $false = sF4 )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f115]) ).
thf(f117,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( sK18 @ X1 @ X2 ) @ X2 ) )
| ( $false = sF4 )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f115]) ).
thf(f118,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y2 @ Y1 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ( $false = sF5 ) ),
inference(iff_proxy_clausification,[],[f46]) ).
thf(f130,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y2 @ Y1 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y0 @ Y1 ) ) ) ) )
@ X1 ) )
| ( $false = sF5 ) ),
inference(pi_proxy_clausification,[],[f118]) ).
thf(f131,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( subset @ Y1 @ Y0 )
=> ( ( in @ X1 @ Y1 )
=> ( in @ X1 @ Y0 ) ) ) ) ) )
| ( $false = sF5 ) ),
inference(beta-eta_normalization,[],[f130]) ).
thf(f132,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( subset @ Y1 @ Y0 )
=> ( ( in @ X1 @ Y1 )
=> ( in @ X1 @ Y0 ) ) ) )
@ X2 ) )
| ( $false = sF5 ) ),
inference(pi_proxy_clausification,[],[f131]) ).
thf(f133,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( subset @ Y0 @ X2 )
=> ( ( in @ X1 @ Y0 )
=> ( in @ X1 @ X2 ) ) ) ) )
| ( $false = sF5 ) ),
inference(beta-eta_normalization,[],[f132]) ).
thf(f134,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( subset @ Y0 @ X2 )
=> ( ( in @ X1 @ Y0 )
=> ( in @ X1 @ X2 ) ) )
@ X3 ) )
| ( $false = sF5 ) ),
inference(pi_proxy_clausification,[],[f133]) ).
thf(f135,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ( subset @ X3 @ X2 )
=> ( ( in @ X1 @ X3 )
=> ( in @ X1 @ X2 ) ) ) )
| ( $false = sF5 ) ),
inference(beta-eta_normalization,[],[f134]) ).
thf(f136,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( subset @ X3 @ X2 ) )
| ( $false = sF5 )
| ( $true
= ( ( in @ X1 @ X3 )
=> ( in @ X1 @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f135]) ).
thf(f137,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( subset @ X3 @ X2 ) )
| ( $false = sF5 )
| ( $false
= ( in @ X1 @ X3 ) )
| ( $true
= ( in @ X1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f136]) ).
thf(f139,plain,
( ( $false
= ( subset @ sF6 @ sF7 ) )
| ( $true = sF8 ) ),
inference(iff_proxy_clausification,[],[f53]) ).
thf(f140,plain,
( ( $true
= ( subset @ sK0 @ sK1 ) )
| ( $false = sF9 ) ),
inference(iff_proxy_clausification,[],[f56]) ).
thf(f142,plain,
! [X2: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( in @ ( sK12 @ X1 @ X2 ) @ X1 ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(forward_demodulation,[],[f77,f38]) ).
thf(f143,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( sK12 @ X1 @ X2 ) @ X1 ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(trivial_inequality_removal,[],[f142]) ).
thf(f144,plain,
! [X2: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( in @ ( sK12 @ X1 @ X2 ) @ X2 ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(forward_demodulation,[],[f76,f38]) ).
thf(f145,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( in @ ( sK12 @ X1 @ X2 ) @ X2 ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(trivial_inequality_removal,[],[f144]) ).
thf(f146,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( in @ X2 @ ( powerset @ X3 ) ) )
| ( $false
= ( in @ X1 @ X2 ) )
| ( $true
= ( in @ X1 @ X3 ) ) ),
inference(forward_demodulation,[],[f97,f41]) ).
thf(f147,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X2 @ ( powerset @ X3 ) ) )
| ( $false
= ( in @ X1 @ X2 ) )
| ( $true
= ( in @ X1 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f146]) ).
thf(f148,plain,
! [X2: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( in @ ( sK18 @ X1 @ X2 ) @ X2 ) )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(forward_demodulation,[],[f117,f44]) ).
thf(f149,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( sK18 @ X1 @ X2 ) @ X2 ) )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f148]) ).
thf(f150,plain,
! [X2: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( in @ ( sK18 @ X1 @ X2 ) @ X1 ) )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(forward_demodulation,[],[f116,f44]) ).
thf(f151,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( in @ ( sK18 @ X1 @ X2 ) @ X1 ) )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f150]) ).
thf(f152,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( subset @ X3 @ X2 ) )
| ( $false
= ( in @ X1 @ X3 ) )
| ( $true
= ( in @ X1 @ X2 ) ) ),
inference(forward_demodulation,[],[f137,f47]) ).
thf(f153,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( subset @ X3 @ X2 ) )
| ( $false
= ( in @ X1 @ X3 ) )
| ( $true
= ( in @ X1 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f152]) ).
thf(f154,plain,
( $false
= ( subset @ sF6 @ sF7 ) ),
inference(forward_subsumption_resolution,[],[f139,f54]) ).
thf(f155,plain,
( ( $true = $false )
| ( $true
= ( subset @ sK0 @ sK1 ) ) ),
inference(forward_demodulation,[],[f140,f57]) ).
thf(f156,plain,
( $true
= ( subset @ sK0 @ sK1 ) ),
inference(trivial_inequality_removal,[],[f155]) ).
thf(f186,plain,
! [X0: $i] :
( ( $true = $false )
| ( $false
= ( in @ X0 @ sK0 ) )
| ( $true
= ( in @ X0 @ sK1 ) ) ),
inference(constrained_superposition,[],[f156,f153]) ).
thf(f192,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sK1 ) )
| ( $false
= ( in @ X0 @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f186]) ).
thf(f204,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( in @ X0 @ sF6 ) )
| ( $false
= ( in @ X1 @ X0 ) )
| ( $true
= ( in @ X1 @ sK0 ) ) ),
inference(constrained_superposition,[],[f147,f49]) ).
thf(f480,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( in @ X0 @ sF6 ) )
| ( $true
= ( in @ ( sK12 @ X0 @ X1 ) @ sK0 ) )
| ( $true
= ( in @ X0 @ ( powerset @ X1 ) ) ) ),
inference(constrained_superposition,[],[f204,f143]) ).
thf(f491,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( in @ ( sK12 @ X0 @ X1 ) @ sK0 ) )
| ( $false
= ( in @ X0 @ sF6 ) )
| ( $true
= ( in @ X0 @ ( powerset @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f480]) ).
thf(f515,plain,
! [X0: $i] :
( ( $true = $false )
| ( $false
= ( in @ ( sK12 @ X0 @ sK1 ) @ sK0 ) )
| ( $true
= ( in @ X0 @ ( powerset @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f192,f145]) ).
thf(f519,plain,
! [X0: $i] :
( ( $false
= ( in @ ( sK12 @ X0 @ sK1 ) @ sK0 ) )
| ( $true
= ( in @ X0 @ ( powerset @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f515]) ).
thf(f534,plain,
! [X0: $i] :
( ( $false
= ( in @ ( sK12 @ X0 @ sK1 ) @ sK0 ) )
| ( $true
= ( in @ X0 @ sF7 ) ) ),
inference(forward_demodulation,[],[f519,f51]) ).
thf(f7124,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( in @ X0 @ sF7 ) )
| ( $false
= ( in @ X0 @ sF6 ) )
| ( $true
= ( in @ X0 @ ( powerset @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f534,f491]) ).
thf(f7129,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sF7 ) )
| ( $false
= ( in @ X0 @ sF6 ) )
| ( $true
= ( in @ X0 @ ( powerset @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f7124]) ).
thf(f7171,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sF7 ) )
| ( $true
= ( in @ X0 @ sF7 ) )
| ( $false
= ( in @ X0 @ sF6 ) ) ),
inference(forward_demodulation,[],[f7129,f51]) ).
thf(f7172,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sF7 ) )
| ( $false
= ( in @ X0 @ sF6 ) ) ),
inference(duplicate_literal_removal,[],[f7171]) ).
thf(f7248,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( subset @ X0 @ sF7 ) )
| ( $false
= ( in @ ( sK18 @ sF7 @ X0 ) @ sF6 ) ) ),
inference(constrained_superposition,[],[f151,f7172]) ).
thf(f7273,plain,
! [X0: $i] :
( ( $false
= ( in @ ( sK18 @ sF7 @ X0 ) @ sF6 ) )
| ( $true
= ( subset @ X0 @ sF7 ) ) ),
inference(trivial_inequality_removal,[],[f7248]) ).
thf(f11718,plain,
( ( $true = $false )
| ( $true
= ( subset @ sF6 @ sF7 ) )
| ( $true
= ( subset @ sF6 @ sF7 ) ) ),
inference(constrained_superposition,[],[f149,f7273]) ).
thf(f11725,plain,
( ( $true = $false )
| ( $true
= ( subset @ sF6 @ sF7 ) ) ),
inference(duplicate_literal_removal,[],[f11718]) ).
thf(f11726,plain,
( $true
= ( subset @ sF6 @ sF7 ) ),
inference(trivial_inequality_removal,[],[f11725]) ).
thf(f11762,plain,
$true = $false,
inference(forward_demodulation,[],[f11726,f154]) ).
thf(f11763,plain,
$false,
inference(trivial_inequality_removal,[],[f11762]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU579^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.17 % Computer : n010.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 13:52:18 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 Running first-order model finding
% 0.10/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.45/1.03 % (2893223)Will run a generic schedule for satisfiability detection.
% 4.45/1.03 % (2893230)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1449038419:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.45/1.03 % (2893229)% WARNING: option uhcvi not known.
% 4.45/1.03 % (2893228)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1375255015_2999 on theBenchmark for (2999ds/0Mi)
% 4.45/1.03 % (2893233)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1664193052:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.45/1.03 % (2893229)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=203218923:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.45/1.03 % (2893234)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1081299169:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.45/1.03 % (2893229)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.45/1.03 % Exception at run slice level
% 4.45/1.03 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.45/1.03 % (2893229)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.45/1.03 % (2893232)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1035439874:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.45/1.03 % (2893232)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.45/1.03 % (2893231)dis+10_1_sil=32000:sp=arity:random_seed=3737229430:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.45/1.03 % (2893242)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3338149660:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.45/1.03 % Exception at run slice level
% 4.45/1.03 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.45/1.03 % (2893244)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=573556861:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.45/1.03 % (2893233)Instruction limit reached!
% 4.45/1.03 % (2893233)------------------------------
% 4.45/1.03 % (2893233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.03 % (2893233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.03 % (2893233)CaDiCaL version: 2.1.3
% 4.45/1.03 % (2893233)Termination reason: Instruction limit
% 4.45/1.03 % (2893233)Termination phase: Saturation
% 4.45/1.03 % (2893233)Time elapsed: 0.061 s
% 4.45/1.03 % (2893233)Peak memory usage: 12 MB
% 4.45/1.03 % (2893233)Instructions burned: 132 (million)
% 4.45/1.03 % (2893232)Instruction limit reached!
% 4.45/1.03 % (2893232)------------------------------
% 4.45/1.03 % (2893232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.03 % (2893232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.03 % (2893232)CaDiCaL version: 2.1.3
% 4.45/1.03 % (2893232)Termination reason: Instruction limit
% 4.45/1.03 % (2893232)Termination phase: Saturation
% 4.45/1.03 % (2893232)Time elapsed: 0.063 s
% 4.45/1.03 % (2893232)Peak memory usage: 12 MB
% 4.45/1.03 % (2893232)Instructions burned: 117 (million)
% 4.45/1.03 % (2893234)Instruction limit reached!
% 4.45/1.03 % (2893234)------------------------------
% 4.45/1.03 % (2893234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.03 % (2893234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.03 % (2893234)CaDiCaL version: 2.1.3
% 4.45/1.03 % (2893234)Termination reason: Instruction limit
% 4.45/1.03 % (2893234)Termination phase: Saturation
% 4.45/1.03 % (2893234)Time elapsed: 0.079 s
% 4.45/1.03 % (2893234)Peak memory usage: 12 MB
% 4.45/1.03 % (2893234)Instructions burned: 160 (million)
% 4.45/1.03 % (2893246)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3336871923:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.45/1.03 % (2893246)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.45/1.03 % (2893246)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.45/1.03 % (2893231)Instruction limit reached!
% 4.45/1.03 % (2893231)------------------------------
% 4.45/1.03 % (2893231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.00/1.91 % (2893231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.00/1.91 % (2893231)CaDiCaL version: 2.1.3
% 10.00/1.91 % (2893231)Termination reason: Instruction limit
% 10.00/1.91 % (2893231)Termination phase: Saturation
% 10.00/1.91 % (2893231)Time elapsed: 0.087 s
% 10.00/1.91 % (2893231)Peak memory usage: 11 MB
% 10.00/1.91 % (2893231)Instructions burned: 104 (million)
% 10.00/1.91 % (2893247)ott-21_1_sil=16000:fs=off:random_seed=3255634433:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 10.00/1.91 % (2893248)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1263275466:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 10.00/1.91 % (2893244)Instruction limit reached!
% 10.00/1.91 % (2893244)------------------------------
% 10.00/1.91 % (2893244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.00/1.91 % (2893244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.00/1.91 % (2893244)CaDiCaL version: 2.1.3
% 10.00/1.91 % (2893244)Termination reason: Instruction limit
% 10.00/1.91 % (2893244)Termination phase: Saturation
% 10.00/1.91 % (2893244)Time elapsed: 0.064 s
% 10.00/1.91 % (2893244)Peak memory usage: 12 MB
% 10.00/1.91 % (2893244)Instructions burned: 133 (million)
% 10.00/1.91 % (2893251)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=984694693:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 10.00/1.91 % Exception at run slice level
% 10.00/1.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.00/1.91 % (2893253)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1482961069:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 10.00/1.91 % (2893256)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3813017981:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 10.00/1.91 % Exception at run slice level
% 10.00/1.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.00/1.91 % (2893258)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=975863774:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 10.00/1.91 % (2893258)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 10.00/1.91 % (2893247)Instruction limit reached!
% 10.00/1.91 % (2893247)------------------------------
% 10.00/1.91 % (2893247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.00/1.91 % (2893247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.00/1.91 % (2893247)CaDiCaL version: 2.1.3
% 10.00/1.91 % (2893247)Termination reason: Instruction limit
% 10.00/1.91 % (2893247)Termination phase: Saturation
% 10.00/1.91 % (2893247)Time elapsed: 0.101 s
% 10.00/1.91 % (2893247)Peak memory usage: 12 MB
% 10.00/1.91 % (2893247)Instructions burned: 181 (million)
% 10.00/1.91 % (2893260)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3252372429:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 10.00/1.91 % (2893260)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 10.00/1.91 % (2893248)Instruction limit reached!
% 10.00/1.91 % (2893248)------------------------------
% 10.00/1.91 % (2893248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.00/1.91 % (2893248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.00/1.91 % (2893248)CaDiCaL version: 2.1.3
% 10.00/1.91 % (2893248)Termination reason: Instruction limit
% 10.00/1.91 % (2893248)Termination phase: Saturation
% 10.00/1.91 % (2893248)Time elapsed: 0.249 s
% 10.00/1.91 % (2893248)Peak memory usage: 13 MB
% 10.00/1.91 % (2893248)Instructions burned: 478 (million)
% 10.00/1.91 % (2893262)fmb+10_1_sil=64000:random_seed=1770500649:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 10.00/1.91 % (2893262)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 10.00/1.91 % Exception at run slice level
% 10.00/1.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.00/1.91 % (2893264)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3254767959:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 10.00/1.91 % Exception at run slice level
% 10.00/1.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.00/1.91 % (2893266)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=892664560:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 10.00/1.91 % Exception at run slice level
% 10.00/1.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.00/1.91 % (2893270)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2707065788:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 10.00/1.91 % (2893270)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 10.00/1.91 % (2893246)Instruction limit reached!
% 10.00/1.91 % (2893246)------------------------------
% 10.00/1.91 % (2893246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.00/1.91 % (2893246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.00/1.91 % (2893246)CaDiCaL version: 2.1.3
% 10.00/1.91 % (2893246)Termination reason: Instruction limit
% 10.00/1.91 % (2893246)Termination phase: Saturation
% 10.00/1.91 % (2893246)Time elapsed: 0.389 s
% 10.00/1.91 % (2893246)Peak memory usage: 13 MB
% 10.00/1.91 % (2893246)Instructions burned: 685 (million)
% 10.00/1.91 % (2893272)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3655295840:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 10.00/1.91 % (2893272)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 10.00/1.91 % (2893272)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 10.00/1.91 % (2893258)Instruction limit reached!
% 10.00/1.91 % (2893258)------------------------------
% 10.00/1.91 % (2893258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.00/1.91 % (2893258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.00/1.91 % (2893258)CaDiCaL version: 2.1.3
% 10.00/1.91 % (2893258)Termination reason: Instruction limit
% 10.00/1.91 % (2893258)Termination phase: Saturation
% 10.00/1.91 % (2893258)Time elapsed: 0.432 s
% 10.00/1.91 % (2893258)Peak memory usage: 13 MB
% 10.00/1.91 % (2893258)Instructions burned: 693 (million)
% 10.00/1.91 % (2893274)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2088075166:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 10.00/1.91 % Exception at run slice level
% 10.00/1.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.00/1.91 % (2893276)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3238278564:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 10.00/1.91 % Exception at run slice level
% 10.00/1.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.00/1.91 % (2893278)ott-2_1_sil=16000:newcnf=on:random_seed=2078289185:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 10.00/1.91 % (2893278)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 10.00/1.91 % (2893253)Instruction limit reached!
% 10.00/1.91 % (2893253)------------------------------
% 10.00/1.91 % (2893253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.00/1.91 % (2893253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.00/1.91 % (2893253)CaDiCaL version: 2.1.3
% 10.00/1.91 % (2893253)Termination reason: Instruction limit
% 10.00/1.91 % (2893253)Termination phase: Saturation
% 10.00/1.91 % (2893253)Time elapsed: 0.550 s
% 10.00/1.91 % (2893253)Peak memory usage: 14 MB
% 10.00/1.91 % (2893253)Instructions burned: 1181 (million)
% 10.00/1.91 % (2893280)ott+10_1_sil=32000:tgt=ground:random_seed=2538683820:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 10.00/1.91 % (2893260)Instruction limit reached!
% 10.00/1.91 % (2893260)------------------------------
% 10.00/1.91 % (2893260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.00/1.91 % (2893260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.00/1.91 % (2893260)CaDiCaL version: 2.1.3
% 10.00/1.91 % (2893260)Termination reason: Instruction limit
% 10.00/1.91 % (2893260)Termination phase: Saturation
% 10.00/1.91 % (2893260)Time elapsed: 0.547 s
% 10.00/1.91 % (2893260)Peak memory usage: 13 MB
% 10.00/1.91 % (2893260)Instructions burned: 880 (million)
% 10.00/1.91 % (2893282)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=137590399:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 10.00/1.91 % Exception at run slice level
% 10.00/1.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.00/1.91 % (2893284)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1059716182:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 10.00/1.91 % (2893284)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 10.00/1.91 % (2893278)Instruction limit reached!
% 10.00/1.91 % (2893278)------------------------------
% 10.00/1.91 % (2893278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.00/1.91 % (2893278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.00/1.91 % (2893278)CaDiCaL version: 2.1.3
% 10.00/1.91 % (2893278)Termination reason: Instruction limit
% 10.00/1.91 % (2893278)Termination phase: Saturation
% 10.00/1.91 % (2893278)Time elapsed: 0.410 s
% 10.00/1.91 % (2893278)Peak memory usage: 13 MB
% 10.00/1.91 % (2893278)Instructions burned: 871 (million)
% 10.00/1.91 % (2893286)dis+21_1_sil=32000:sas=cadical:random_seed=1479159250:i=3773:amm=off_2988 on theBenchmark for (2988ds/3773Mi)
% 10.00/1.91 % (2893272)Instruction limit reached!
% 10.00/1.91 % (2893272)------------------------------
% 10.00/1.91 % (2893272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.00/1.91 % (2893272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.00/1.91 % (2893272)CaDiCaL version: 2.1.3
% 10.00/1.91 % (2893272)Termination reason: Instruction limit
% 10.00/1.91 % (2893272)Termination phase: Saturation
% 10.00/1.91 % (2893272)Time elapsed: 0.694 s
% 10.00/1.91 % (2893272)Peak memory usage: 15 MB
% 10.00/1.91 % (2893272)Instructions burned: 1472 (million)
% 10.00/1.91 % (2893288)ott+11_1_sil=16000:gs=on:random_seed=3835511719:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 10.00/1.91 % (2893288)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 10.00/1.91 % (2893280) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2893223-2893280"...
% 10.00/1.91 % (2893280)...printing done.
% 10.00/1.91 % (2893280)Refutation found. Thanks to Tanya!
% 10.00/1.91 % SZS status Theorem for theBenchmark
% 10.00/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 10.00/1.91 % (2893280)------------------------------
% 10.00/1.91 % (2893280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.00/1.91 % (2893280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.00/1.91 % (2893280)CaDiCaL version: 2.1.3
% 10.00/1.91 % (2893280)Termination reason: Refutation
% 10.00/1.91 % (2893280)Time elapsed: 0.958 s
% 10.00/1.91 % (2893280)Peak memory usage: 15 MB
% 10.00/1.91 % (2893280)Instructions burned: 1888 (million)
% 10.00/1.91 % (2893223)Success in time 1.7 s
% 10.00/1.91 % Vampire exiting
%------------------------------------------------------------------------------