%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU712^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 08:33:04 AM UTC 2026
% Result : Theorem 14.06s 2.23s
% Output : Refutation 14.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 10
% Syntax : Number of formulae : 90 ( 38 unt; 0 typ; 7 def)
% Number of atoms : 726 ( 176 equ; 0 cnn)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 809 ( 8 ~; 78 |; 9 &; 597 @)
% ( 0 <=>; 68 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 22 usr; 14 con; 0-4 aty)
% ( 49 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 149 ( 55 ^; 90 !; 4 ?; 149 :)
% 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,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_6,type,
vIMP: $o > $o > $o ).
thf(func_def_7,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_15,type,
sF2: $o ).
thf(func_def_16,type,
sF3: $o ).
thf(func_def_20,type,
sF7: $o ).
thf(func_def_21,type,
sF8: $o ).
thf(func_def_22,type,
vNOT: $o > $o ).
thf(func_def_25,type,
sK11: $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/sandbox/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/sandbox/benchmark/theBenchmark.p',powersetE) ).
thf(f3,conjecture,
( powersetI
=> ( powersetE
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( in @ ( powerset @ X1 ) @ ( powerset @ ( powerset @ X0 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetT_lem) ).
thf(f4,negated_conjecture,
~ ( powersetI
=> ( powersetE
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( in @ ( powerset @ X1 ) @ ( powerset @ ( powerset @ X0 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
thf(f5,plain,
( powersetI
= ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) )
=> ( in @ X1 @ ( powerset @ X0 ) ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f6,plain,
( powersetI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f7,plain,
( powersetE
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f8,plain,
( powersetE
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y2 ) )
=> ( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
~ ( powersetI
=> ( powersetE
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( in @ ( powerset @ X1 ) @ ( powerset @ ( powerset @ X0 ) ) ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f10,plain,
~ ( ( powersetI = $true )
=> ( ( powersetE = $true )
=> ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
=> ( ( in @ ( powerset @ X1 ) @ ( powerset @ ( powerset @ X0 ) ) )
= $true ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
( ? [X0: $i,X1: $i] :
( ( ( in @ ( powerset @ X1 ) @ ( powerset @ ( powerset @ X0 ) ) )
!= $true )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) )
& ( powersetE = $true )
& ( powersetI = $true ) ),
inference(ennf_transformation,[],[f10]) ).
thf(f12,plain,
( ? [X0: $i,X1: $i] :
( ( ( in @ ( powerset @ X1 ) @ ( powerset @ ( powerset @ X0 ) ) )
!= $true )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) )
& ( powersetE = $true )
& ( powersetI = $true ) ),
inference(flattening,[],[f11]) ).
thf(f13,plain,
( ( $true
!= ( in @ ( powerset @ sK1 ) @ ( powerset @ ( powerset @ sK0 ) ) ) )
& ( $true
= ( in @ sK1 @ ( powerset @ sK0 ) ) )
& ( powersetE = $true )
& ( powersetI = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f12]) ).
thf(f14,plain,
( powersetI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f15,plain,
( powersetE
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y2 ) )
=> ( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f16,plain,
powersetI = $true,
inference(cnf_transformation,[],[f13]) ).
thf(f17,plain,
powersetE = $true,
inference(cnf_transformation,[],[f13]) ).
thf(f18,plain,
( $true
= ( in @ sK1 @ ( powerset @ sK0 ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f19,plain,
( $true
!= ( in @ ( powerset @ sK1 ) @ ( powerset @ ( powerset @ sK0 ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f22,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f14,f16]) ).
thf(f23,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y2 ) )
=> ( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f15,f17]) ).
thf(f24,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(f25,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) )
= sF2 ),
inference(reorient_equations,[],[f24]) ).
thf(f26,plain,
$true = sF2,
inference(definition_folding,[],[f22,f25]) ).
thf(f27,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(f28,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y2 ) )
=> ( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ Y2 ) ) ) ) ) )
= sF3 ),
inference(reorient_equations,[],[f27]) ).
thf(f29,plain,
$true = sF3,
inference(definition_folding,[],[f23,f28]) ).
thf(f30,definition,
( sF4
= ( powerset @ sK1 ) ),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
thf(f31,plain,
( ( powerset @ sK1 )
= sF4 ),
inference(reorient_equations,[],[f30]) ).
thf(f32,definition,
( sF5
= ( powerset @ sK0 ) ),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
thf(f33,plain,
( ( powerset @ sK0 )
= sF5 ),
inference(reorient_equations,[],[f32]) ).
thf(f34,definition,
( sF6
= ( powerset @ sF5 ) ),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
thf(f35,plain,
( ( powerset @ sF5 )
= sF6 ),
inference(reorient_equations,[],[f34]) ).
thf(f36,definition,
( sF7
= ( in @ sF4 @ sF6 ) ),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
thf(f37,plain,
( ( in @ sF4 @ sF6 )
= sF7 ),
inference(reorient_equations,[],[f36]) ).
thf(f38,plain,
$true != sF7,
inference(definition_folding,[],[f19,f37,f35,f33,f31]) ).
thf(f39,definition,
( sF8
= ( in @ sK1 @ sF5 ) ),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
thf(f40,plain,
( ( in @ sK1 @ sF5 )
= sF8 ),
inference(reorient_equations,[],[f39]) ).
thf(f41,plain,
$true = sF8,
inference(definition_folding,[],[f18,f40,f33]) ).
thf(f42,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,[],[f25]) ).
thf(f53,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,[],[f42]) ).
thf(f54,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,[],[f53]) ).
thf(f55,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,[],[f54]) ).
thf(f56,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,[],[f55]) ).
thf(f57,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,[],[f56]) ).
thf(f58,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) )
@ ( sK11 @ X1 @ X2 ) ) )
| ( $false = sF2 )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(sigma_proxy_clausification,[],[f57]) ).
thf(f59,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( in @ ( sK11 @ X1 @ X2 ) @ X1 )
=> ( in @ ( sK11 @ X1 @ X2 ) @ X2 ) ) )
| ( $false = sF2 )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f58]) ).
thf(f60,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( in @ ( sK11 @ X1 @ X2 ) @ X2 ) )
| ( $false = sF2 )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f59]) ).
thf(f61,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( sK11 @ X1 @ X2 ) @ X1 ) )
| ( $false = sF2 )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f59]) ).
thf(f62,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,[],[f28]) ).
thf(f74,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,[],[f62]) ).
thf(f75,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,[],[f74]) ).
thf(f76,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,[],[f75]) ).
thf(f77,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,[],[f76]) ).
thf(f78,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,[],[f77]) ).
thf(f79,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ( in @ X2 @ ( powerset @ X3 ) )
=> ( ( in @ X1 @ X2 )
=> ( in @ X1 @ X3 ) ) ) )
| ( $false = sF3 ) ),
inference(beta-eta_normalization,[],[f78]) ).
thf(f80,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,[],[f79]) ).
thf(f81,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,[],[f80]) ).
thf(f83,plain,
( ( $false
= ( in @ sF4 @ sF6 ) )
| ( $true = sF7 ) ),
inference(iff_proxy_clausification,[],[f37]) ).
thf(f84,plain,
( ( $true
= ( in @ sK1 @ sF5 ) )
| ( $false = sF8 ) ),
inference(iff_proxy_clausification,[],[f40]) ).
thf(f86,plain,
! [X2: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( in @ ( sK11 @ X1 @ X2 ) @ X1 ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(forward_demodulation,[],[f61,f26]) ).
thf(f87,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( sK11 @ X1 @ X2 ) @ X1 ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(trivial_inequality_removal,[],[f86]) ).
thf(f88,plain,
! [X2: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( in @ ( sK11 @ X1 @ X2 ) @ X2 ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(forward_demodulation,[],[f60,f26]) ).
thf(f89,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( in @ ( sK11 @ X1 @ X2 ) @ X2 ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(trivial_inequality_removal,[],[f88]) ).
thf(f90,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,[],[f81,f29]) ).
thf(f91,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X2 @ ( powerset @ X3 ) ) )
| ( $false
= ( in @ X1 @ X2 ) )
| ( $true
= ( in @ X1 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f90]) ).
thf(f92,plain,
( $false
= ( in @ sF4 @ sF6 ) ),
inference(forward_subsumption_resolution,[],[f83,f38]) ).
thf(f93,plain,
( ( $true = $false )
| ( $true
= ( in @ sK1 @ sF5 ) ) ),
inference(forward_demodulation,[],[f84,f41]) ).
thf(f94,plain,
( $true
= ( in @ sK1 @ sF5 ) ),
inference(trivial_inequality_removal,[],[f93]) ).
thf(f120,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( in @ X0 @ sF4 ) )
| ( $false
= ( in @ X1 @ X0 ) )
| ( $true
= ( in @ X1 @ sK1 ) ) ),
inference(constrained_superposition,[],[f91,f31]) ).
thf(f121,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( in @ X0 @ sF5 ) )
| ( $false
= ( in @ X1 @ X0 ) )
| ( $true
= ( in @ X1 @ sK0 ) ) ),
inference(constrained_superposition,[],[f91,f33]) ).
thf(f188,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( in @ X0 @ ( powerset @ X1 ) ) )
| ( $false
= ( in @ X0 @ sF4 ) )
| ( $true
= ( in @ ( sK11 @ X0 @ X1 ) @ sK1 ) ) ),
inference(constrained_superposition,[],[f87,f120]) ).
thf(f198,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( in @ ( sK11 @ X0 @ X1 ) @ sK1 ) )
| ( $false
= ( in @ X0 @ sF4 ) )
| ( $true
= ( in @ X0 @ ( powerset @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f188]) ).
thf(f239,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( in @ X0 @ ( powerset @ sK0 ) ) )
| ( $false
= ( in @ X1 @ sF5 ) )
| ( $false
= ( in @ ( sK11 @ X0 @ sK0 ) @ X1 ) ) ),
inference(constrained_superposition,[],[f89,f121]) ).
thf(f241,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( in @ X0 @ ( powerset @ sK0 ) ) )
| ( $false
= ( in @ X1 @ sF5 ) )
| ( $false
= ( in @ ( sK11 @ X0 @ sK0 ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f239]) ).
thf(f263,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( in @ ( sK11 @ X0 @ sK0 ) @ X1 ) )
| ( $false
= ( in @ X1 @ sF5 ) )
| ( $true
= ( in @ X0 @ sF5 ) ) ),
inference(forward_demodulation,[],[f241,f33]) ).
thf(f1468,plain,
! [X0: $i] :
( ( $true = $false )
| ( $false
= ( in @ sK1 @ sF5 ) )
| ( $true
= ( in @ X0 @ sF5 ) )
| ( $false
= ( in @ X0 @ sF4 ) )
| ( $true
= ( in @ X0 @ ( powerset @ sK0 ) ) ) ),
inference(constrained_superposition,[],[f263,f198]) ).
thf(f1473,plain,
! [X0: $i] :
( ( $false
= ( in @ sK1 @ sF5 ) )
| ( $true
= ( in @ X0 @ sF5 ) )
| ( $false
= ( in @ X0 @ sF4 ) )
| ( $true
= ( in @ X0 @ ( powerset @ sK0 ) ) ) ),
inference(trivial_inequality_removal,[],[f1468]) ).
thf(f1499,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( in @ X0 @ sF5 ) )
| ( $false
= ( in @ X0 @ sF4 ) )
| ( $true
= ( in @ X0 @ ( powerset @ sK0 ) ) ) ),
inference(forward_demodulation,[],[f1473,f94]) ).
thf(f1500,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sF5 ) )
| ( $false
= ( in @ X0 @ sF4 ) )
| ( $true
= ( in @ X0 @ ( powerset @ sK0 ) ) ) ),
inference(trivial_inequality_removal,[],[f1499]) ).
thf(f1511,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sF5 ) )
| ( $true
= ( in @ X0 @ sF5 ) )
| ( $false
= ( in @ X0 @ sF4 ) ) ),
inference(forward_demodulation,[],[f1500,f33]) ).
thf(f1512,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sF4 ) )
| ( $true
= ( in @ X0 @ sF5 ) ) ),
inference(duplicate_literal_removal,[],[f1511]) ).
thf(f1524,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( in @ sF4 @ ( powerset @ X0 ) ) )
| ( $true
= ( in @ ( sK11 @ sF4 @ X0 ) @ sF5 ) ) ),
inference(constrained_superposition,[],[f87,f1512]) ).
thf(f1527,plain,
! [X0: $i] :
( ( $true
= ( in @ ( sK11 @ sF4 @ X0 ) @ sF5 ) )
| ( $true
= ( in @ sF4 @ ( powerset @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f1524]) ).
thf(f13075,plain,
( ( $true = $false )
| ( $true
= ( in @ sF4 @ ( powerset @ sF5 ) ) )
| ( $true
= ( in @ sF4 @ ( powerset @ sF5 ) ) ) ),
inference(constrained_superposition,[],[f89,f1527]) ).
thf(f13085,plain,
( ( $true = $false )
| ( $true
= ( in @ sF4 @ ( powerset @ sF5 ) ) ) ),
inference(duplicate_literal_removal,[],[f13075]) ).
thf(f13086,plain,
( $true
= ( in @ sF4 @ ( powerset @ sF5 ) ) ),
inference(trivial_inequality_removal,[],[f13085]) ).
thf(f13150,plain,
( $true
= ( in @ sF4 @ sF6 ) ),
inference(forward_demodulation,[],[f13086,f35]) ).
thf(f13164,plain,
$true = $false,
inference(forward_demodulation,[],[f13150,f92]) ).
thf(f13165,plain,
$false,
inference(trivial_inequality_removal,[],[f13164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU712^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n016.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 14:18:34 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.38/0.93 % (419322)Will run a generic schedule for satisfiability detection.
% 4.38/0.93 % (419330)dis+10_1_sil=32000:sp=arity:random_seed=1355227915:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.38/0.93 % (419328)% WARNING: option uhcvi not known.
% 4.38/0.93 % (419328)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4164148819:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.38/0.93 % (419329)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1037612146:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.38/0.93 % (419327)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3034918598_2999 on theBenchmark for (2999ds/0Mi)
% 4.38/0.93 % (419331)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2258750439:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.38/0.93 % (419328)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.38/0.93 % (419332)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2603421985:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.38/0.93 % (419333)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2153357023:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.38/0.93 % (419328)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.38/0.93 % Exception at run slice level
% 4.38/0.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs% (419331)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.38/0.93
% 4.38/0.93 % (419330)Instruction limit reached!
% 4.38/0.93 % (419330)------------------------------
% 4.38/0.93 % (419330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.38/0.93 % (419330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/0.93 % (419330)CaDiCaL version: 2.1.3
% 4.38/0.93 % (419330)Termination reason: Instruction limit
% 4.38/0.93 % (419330)Termination phase: Saturation
% 4.38/0.93 % (419330)Time elapsed: 0.026 s
% 4.38/0.93 % (419330)Peak memory usage: 12 MB
% 4.38/0.93 % (419330)Instructions burned: 106 (million)
% 4.38/0.93 % (419342)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1149745521:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.38/0.93 % Exception at run slice level
% 4.38/0.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.38/0.93 % (419349)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=159766723:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.38/0.93 % (419354)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=2306185124:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.38/0.93 % (419354)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.38/0.93 % (419354)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.38/0.93 % (419331)Instruction limit reached!
% 4.38/0.93 % (419331)------------------------------
% 4.38/0.93 % (419331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.38/0.93 % (419331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/0.93 % (419331)CaDiCaL version: 2.1.3
% 4.38/0.93 % (419331)Termination reason: Instruction limit
% 4.38/0.93 % (419331)Termination phase: Saturation
% 4.38/0.93 % (419331)Time elapsed: 0.056 s
% 4.38/0.93 % (419331)Peak memory usage: 12 MB
% 4.38/0.93 % (419331)Instructions burned: 116 (million)
% 4.38/0.93 % (419349)Instruction limit reached!
% 4.38/0.93 % (419349)------------------------------
% 4.38/0.93 % (419349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.38/0.93 % (419349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/0.93 % (419349)CaDiCaL version: 2.1.3
% 4.38/0.93 % (419349)Termination reason: Instruction limit
% 4.38/0.93 % (419349)Termination phase: Saturation
% 4.38/0.93 % (419349)Time elapsed: 0.034 s
% 4.38/0.93 % (419349)Peak memory usage: 12 MB
% 4.38/0.93 % (419349)Instructions burned: 136 (million)
% 4.38/0.93 % (419332)Instruction limit reached!
% 4.38/0.93 % (419332)------------------------------
% 4.38/0.93 % (419332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.38/0.93 % (419332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.23 % (419332)CaDiCaL version: 2.1.3
% 14.06/2.23 % (419332)Termination reason: Instruction limit
% 14.06/2.23 % (419332)Termination phase: Saturation
% 14.06/2.23 % (419332)Time elapsed: 0.065 s
% 14.06/2.23 % (419332)Peak memory usage: 12 MB
% 14.06/2.23 % (419332)Instructions burned: 131 (million)
% 14.06/2.23 % (419374)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1249019856:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 14.06/2.23 % (419370)ott-21_1_sil=16000:fs=off:random_seed=3124723246:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 14.06/2.23 % (419333)Instruction limit reached!
% 14.06/2.23 % (419333)------------------------------
% 14.06/2.23 % (419333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.23 % (419333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.23 % (419333)CaDiCaL version: 2.1.3
% 14.06/2.23 % (419333)Termination reason: Instruction limit
% 14.06/2.23 % (419333)Termination phase: Saturation
% 14.06/2.23 % (419333)Time elapsed: 0.083 s
% 14.06/2.23 % (419333)Peak memory usage: 12 MB
% 14.06/2.23 % (419333)Instructions burned: 160 (million)
% 14.06/2.23 % (419375)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3160211439:fmbsr=1.3:i=865:ins=25_2999 on theBenchmark for (2999ds/865Mi)
% 14.06/2.23 % Exception at run slice level
% 14.06/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.06/2.23 % (419390)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2513549454:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 14.06/2.23 % (419393)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=774483777:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 14.06/2.23 % Exception at run slice level
% 14.06/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.06/2.23 % (419401)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=2166162866: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)
% 14.06/2.23 % (419401)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 14.06/2.23 % (419370)Instruction limit reached!
% 14.06/2.23 % (419370)------------------------------
% 14.06/2.23 % (419370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.23 % (419370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.23 % (419370)CaDiCaL version: 2.1.3
% 14.06/2.23 % (419370)Termination reason: Instruction limit
% 14.06/2.23 % (419370)Termination phase: Saturation
% 14.06/2.23 % (419370)Time elapsed: 0.111 s
% 14.06/2.23 % (419370)Peak memory usage: 12 MB
% 14.06/2.23 % (419370)Instructions burned: 182 (million)
% 14.06/2.23 % (419374)Instruction limit reached!
% 14.06/2.23 % (419374)------------------------------
% 14.06/2.23 % (419374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.23 % (419374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.23 % (419374)CaDiCaL version: 2.1.3
% 14.06/2.23 % (419374)Termination reason: Instruction limit
% 14.06/2.23 % (419374)Termination phase: Saturation
% 14.06/2.23 % (419374)Time elapsed: 0.122 s
% 14.06/2.23 % (419374)Peak memory usage: 12 MB
% 14.06/2.23 % (419374)Instructions burned: 480 (million)
% 14.06/2.23 % (419435)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3651828562:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 14.06/2.23 % (419435)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 14.06/2.23 % (419439)fmb+10_1_sil=64000:random_seed=3586587665:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 14.06/2.23 % (419439)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 14.06/2.23 % Exception at run slice level
% 14.06/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.06/2.23 % (419448)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1262418676:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 14.06/2.23 % Exception at run slice level
% 14.06/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.06/2.23 % (419455)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2933863347:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 14.06/2.23 % Exception at run slice level
% 14.06/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.06/2.23 % (419458)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4144577792:i=5131_2997 on theBenchmark for (2997ds/5131Mi)
% 14.06/2.23 % (419458)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 14.06/2.23 % (419354)Instruction limit reached!
% 14.06/2.23 % (419354)------------------------------
% 14.06/2.23 % (419354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.23 % (419354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.23 % (419354)CaDiCaL version: 2.1.3
% 14.06/2.23 % (419354)Termination reason: Instruction limit
% 14.06/2.23 % (419354)Termination phase: Saturation
% 14.06/2.23 % (419354)Time elapsed: 0.314 s
% 14.06/2.23 % (419354)Peak memory usage: 14 MB
% 14.06/2.23 % (419354)Instructions burned: 686 (million)
% 14.06/2.23 % (419515)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=827829845:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 14.06/2.23 % (419515)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 14.06/2.23 % (419515)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 14.06/2.23 % (419401)Instruction limit reached!
% 14.06/2.23 % (419401)------------------------------
% 14.06/2.23 % (419401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.23 % (419401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.23 % (419401)CaDiCaL version: 2.1.3
% 14.06/2.23 % (419401)Termination reason: Instruction limit
% 14.06/2.23 % (419401)Termination phase: Saturation
% 14.06/2.23 % (419401)Time elapsed: 0.326 s
% 14.06/2.23 % (419401)Peak memory usage: 14 MB
% 14.06/2.23 % (419401)Instructions burned: 693 (million)
% 14.06/2.23 % (419523)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3086727941:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 14.06/2.23 % Exception at run slice level
% 14.06/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.06/2.23 % (419525)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3851019869:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 14.06/2.23 % Exception at run slice level
% 14.06/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.06/2.23 % (419527)ott-2_1_sil=16000:newcnf=on:random_seed=978061448:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 14.06/2.23 % (419527)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 14.06/2.23 % (419435)Instruction limit reached!
% 14.06/2.23 % (419435)------------------------------
% 14.06/2.23 % (419435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.23 % (419435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.23 % (419435)CaDiCaL version: 2.1.3
% 14.06/2.23 % (419435)Termination reason: Instruction limit
% 14.06/2.23 % (419435)Termination phase: Saturation
% 14.06/2.23 % (419435)Time elapsed: 0.416 s
% 14.06/2.23 % (419435)Peak memory usage: 14 MB
% 14.06/2.23 % (419435)Instructions burned: 881 (million)
% 14.06/2.23 % (419529)ott+10_1_sil=32000:tgt=ground:random_seed=2562948567:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 14.06/2.23 % (419390)Instruction limit reached!
% 14.06/2.23 % (419390)------------------------------
% 14.06/2.23 % (419390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.23 % (419390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.23 % (419390)CaDiCaL version: 2.1.3
% 14.06/2.23 % (419390)Termination reason: Instruction limit
% 14.06/2.23 % (419390)Termination phase: Saturation
% 14.06/2.23 % (419390)Time elapsed: 0.548 s
% 14.06/2.23 % (419390)Peak memory usage: 14 MB
% 14.06/2.23 % (419390)Instructions burned: 1179 (million)
% 14.06/2.23 % (419531)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1175737109:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 14.06/2.23 % Exception at run slice level
% 14.06/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.06/2.23 % (419533)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=218289586:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 14.06/2.23 % (419533)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 14.06/2.23 % (419527)Instruction limit reached!
% 14.06/2.23 % (419527)------------------------------
% 14.06/2.23 % (419527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.23 % (419527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.23 % (419527)CaDiCaL version: 2.1.3
% 14.06/2.23 % (419527)Termination reason: Instruction limit
% 14.06/2.23 % (419527)Termination phase: Saturation
% 14.06/2.23 % (419527)Time elapsed: 0.414 s
% 14.06/2.23 % (419527)Peak memory usage: 13 MB
% 14.06/2.23 % (419527)Instructions burned: 869 (million)
% 14.06/2.23 % (419535)dis+21_1_sil=32000:sas=cadical:random_seed=3248146489:i=3773:amm=off_2990 on theBenchmark for (2990ds/3773Mi)
% 14.06/2.23 % (419515)Instruction limit reached!
% 14.06/2.23 % (419515)------------------------------
% 14.06/2.23 % (419515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.23 % (419515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.23 % (419515)CaDiCaL version: 2.1.3
% 14.06/2.23 % (419515)Termination reason: Instruction limit
% 14.06/2.23 % (419515)Termination phase: Saturation
% 14.06/2.23 % (419515)Time elapsed: 0.711 s
% 14.06/2.23 % (419515)Peak memory usage: 14 MB
% 14.06/2.23 % (419515)Instructions burned: 1474 (million)
% 14.06/2.23 % (419537)ott+11_1_sil=16000:gs=on:random_seed=3437598345:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 14.06/2.23 % (419537)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 14.06/2.23 % (419458)Instruction limit reached!
% 14.06/2.23 % (419458)------------------------------
% 14.06/2.23 % (419458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.23 % (419458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.23 % (419458)CaDiCaL version: 2.1.3
% 14.06/2.23 % (419458)Termination reason: Instruction limit
% 14.06/2.23 % (419458)Termination phase: Saturation
% 14.06/2.23 % (419458)Time elapsed: 1.110 s
% 14.06/2.23 % (419458)Peak memory usage: 17 MB
% 14.06/2.23 % (419458)Instructions burned: 5132 (million)
% 14.06/2.23 % (419539)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3828952289:fmbsr=1.6:i=67534_2986 on theBenchmark for (2986ds/67534Mi)
% 14.06/2.23 % Exception at run slice level
% 14.06/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.06/2.23 % (419541)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3942734330:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2986 on theBenchmark for (2986ds/4591Mi)
% 14.06/2.23 % (419529) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-419322-419529"...
% 14.06/2.23 % (419529)...printing done.
% 14.06/2.23 % (419529)Refutation found. Thanks to Tanya!
% 14.06/2.23 % SZS status Theorem for theBenchmark
% 14.06/2.23 % SZS output start Proof for theBenchmark
% See solution above
% 14.06/2.24 % (419529)------------------------------
% 14.06/2.24 % (419529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.24 % (419529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.24 % (419529)CaDiCaL version: 2.1.3
% 14.06/2.24 % (419529)Termination reason: Refutation
% 14.06/2.24 % (419529)Time elapsed: 1.343 s
% 14.06/2.24 % (419529)Peak memory usage: 16 MB
% 14.06/2.24 % (419529)Instructions burned: 3068 (million)
% 14.06/2.24 % (419322)Success in time 2.023 s
% 14.06/2.24 % Vampire exiting
%------------------------------------------------------------------------------