%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU604^2 : 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 : 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 08:32:38 AM UTC 2026
% Result : Theorem 0.72s 0.43s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 129 ( 59 unt; 0 typ; 7 def)
% Number of atoms : 996 ( 249 equ; 0 cnn)
% Maximal formula atoms : 7 ( 7 avg)
% Number of connectives : 1129 ( 23 ~; 86 |; 18 &; 781 @)
% ( 0 <=>; 118 =>; 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 : 32 ( 28 usr; 18 con; 0-4 aty)
% ( 103 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 253 ( 116 ^; 133 !; 4 ?; 253 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_2,type,
subset: $i > $i > $o ).
thf(func_def_3,type,
subsetI2: $o ).
thf(func_def_5,type,
subsetE: $o ).
thf(func_def_6,type,
subsetemptysetimpeq: $o ).
thf(func_def_7,type,
setminus: $i > $i > $i ).
thf(func_def_8,type,
setminusEL: $o ).
thf(func_def_9,type,
setminusER: $o ).
thf(func_def_10,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_11,type,
vIMP: $o > $o > $o ).
thf(func_def_12,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_16,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_17,type,
vNOT: $o > $o ).
thf(func_def_22,type,
sF2: $o ).
thf(func_def_23,type,
sF3: $o ).
thf(func_def_24,type,
sF4: $o ).
thf(func_def_25,type,
sF5: $o ).
thf(func_def_26,type,
sF6: $o ).
thf(func_def_28,type,
sF8: $o ).
thf(func_def_31,type,
sK11: $i > $i > $i ).
thf(f1,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(f2,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(f3,axiom,
( subsetemptysetimpeq
= ( ! [X0: $i] :
( ( subset @ X0 @ emptyset )
=> ( X0 = emptyset ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetemptysetimpeq) ).
thf(f4,axiom,
( setminusEL
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
=> ( in @ X2 @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminusEL) ).
thf(f5,axiom,
( setminusER
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
=> ~ ( in @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminusER) ).
thf(f6,conjecture,
( subsetI2
=> ( subsetE
=> ( subsetemptysetimpeq
=> ( setminusEL
=> ( setminusER
=> ! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
=> ( ( setminus @ X0 @ X1 )
= emptyset ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminusSubset2) ).
thf(f7,negated_conjecture,
~ ( subsetI2
=> ( subsetE
=> ( subsetemptysetimpeq
=> ( setminusEL
=> ( setminusER
=> ! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
=> ( ( setminus @ X0 @ X1 )
= emptyset ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
thf(f8,plain,
( subsetI2
= ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) )
=> ( subset @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f9,plain,
( subsetI2
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
( subsetE
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ X1 )
=> ( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f11,plain,
( subsetE
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y2 @ Y1 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
( subsetemptysetimpeq
= ( ! [X0: $i] :
( ( subset @ X0 @ emptyset )
=> ( X0 = emptyset ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f13,plain,
( subsetemptysetimpeq
= ( !! @ $i
@ ^ [Y0: $i] :
( ( subset @ Y0 @ emptyset )
=> ( emptyset = Y0 ) ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
( setminusEL
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
=> ( in @ X2 @ X0 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f15,plain,
( setminusEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
( setminusER
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
=> ~ ( in @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f17,plain,
( setminusER
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ~ ( in @ Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
~ ( subsetI2
=> ( subsetE
=> ( subsetemptysetimpeq
=> ( setminusEL
=> ( setminusER
=> ! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
=> ( ( setminus @ X0 @ X1 )
= emptyset ) ) ) ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f19,plain,
~ ( ( subsetI2 = $true )
=> ( ( subsetE = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( setminusEL = $true )
=> ( ( setminusER = $true )
=> ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
=> ( emptyset
= ( setminus @ X0 @ X1 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f18]) ).
thf(f20,plain,
( ? [X0: $i,X1: $i] :
( ( emptyset
!= ( setminus @ X0 @ X1 ) )
& ( ( subset @ X0 @ X1 )
= $true ) )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( subsetemptysetimpeq = $true )
& ( subsetE = $true )
& ( subsetI2 = $true ) ),
inference(ennf_transformation,[],[f19]) ).
thf(f21,plain,
( ? [X0: $i,X1: $i] :
( ( emptyset
!= ( setminus @ X0 @ X1 ) )
& ( ( subset @ X0 @ X1 )
= $true ) )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( subsetemptysetimpeq = $true )
& ( subsetE = $true )
& ( subsetI2 = $true ) ),
inference(flattening,[],[f20]) ).
thf(f22,plain,
( ( emptyset
!= ( setminus @ sK0 @ sK1 ) )
& ( $true
= ( subset @ sK0 @ sK1 ) )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( subsetemptysetimpeq = $true )
& ( subsetE = $true )
& ( subsetI2 = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f21]) ).
thf(f23,plain,
( subsetI2
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f24,plain,
( subsetE
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y2 @ Y1 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f25,plain,
( subsetemptysetimpeq
= ( !! @ $i
@ ^ [Y0: $i] :
( ( subset @ Y0 @ emptyset )
=> ( emptyset = Y0 ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f26,plain,
( setminusEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f27,plain,
( setminusER
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ~ ( in @ Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f28,plain,
subsetI2 = $true,
inference(cnf_transformation,[],[f22]) ).
thf(f29,plain,
subsetE = $true,
inference(cnf_transformation,[],[f22]) ).
thf(f30,plain,
subsetemptysetimpeq = $true,
inference(cnf_transformation,[],[f22]) ).
thf(f31,plain,
setminusEL = $true,
inference(cnf_transformation,[],[f22]) ).
thf(f32,plain,
setminusER = $true,
inference(cnf_transformation,[],[f22]) ).
thf(f33,plain,
( $true
= ( subset @ sK0 @ sK1 ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f34,plain,
( emptyset
!= ( setminus @ sK0 @ sK1 ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f37,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) ) )
= $true ),
inference(definition_unfolding,[],[f23,f28]) ).
thf(f38,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y2 @ Y1 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y0 @ Y1 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f24,f29]) ).
thf(f39,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( subset @ Y0 @ emptyset )
=> ( emptyset = Y0 ) ) )
= $true ),
inference(definition_unfolding,[],[f25,f30]) ).
thf(f40,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f26,f31]) ).
thf(f41,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ~ ( in @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f27,f32]) ).
thf(f42,definition,
( sF2
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
thf(f43,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) ) )
= sF2 ),
inference(reorient_equations,[],[f42]) ).
thf(f44,plain,
$true = sF2,
inference(definition_folding,[],[f37,f43]) ).
thf(f45,definition,
( sF3
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y2 @ Y1 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y0 @ Y1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
thf(f46,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y2 @ Y1 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y0 @ Y1 ) ) ) ) ) )
= sF3 ),
inference(reorient_equations,[],[f45]) ).
thf(f47,plain,
$true = sF3,
inference(definition_folding,[],[f38,f46]) ).
thf(f48,definition,
( sF4
= ( !! @ $i
@ ^ [Y0: $i] :
( ( subset @ Y0 @ emptyset )
=> ( emptyset = Y0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
thf(f49,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( subset @ Y0 @ emptyset )
=> ( emptyset = Y0 ) ) )
= sF4 ),
inference(reorient_equations,[],[f48]) ).
thf(f50,plain,
$true = sF4,
inference(definition_folding,[],[f39,f49]) ).
thf(f51,definition,
( sF5
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
thf(f52,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) )
= sF5 ),
inference(reorient_equations,[],[f51]) ).
thf(f53,plain,
$true = sF5,
inference(definition_folding,[],[f40,f52]) ).
thf(f54,definition,
( sF6
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ~ ( in @ Y0 @ Y1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
thf(f55,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ~ ( in @ Y0 @ Y1 ) ) ) ) )
= sF6 ),
inference(reorient_equations,[],[f54]) ).
thf(f56,plain,
$true = sF6,
inference(definition_folding,[],[f41,f55]) ).
thf(f57,definition,
( sF7
= ( setminus @ sK0 @ sK1 ) ),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
thf(f58,plain,
( ( setminus @ sK0 @ sK1 )
= sF7 ),
inference(reorient_equations,[],[f57]) ).
thf(f59,plain,
emptyset != sF7,
inference(definition_folding,[],[f34,f58]) ).
thf(f60,definition,
( sF8
= ( subset @ sK0 @ sK1 ) ),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
thf(f61,plain,
( ( subset @ sK0 @ sK1 )
= sF8 ),
inference(reorient_equations,[],[f60]) ).
thf(f62,plain,
$true = sF8,
inference(definition_folding,[],[f33,f61]) ).
thf(f63,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) ) )
= $true )
| ( $false = sF2 ) ),
inference(iff_proxy_clausification,[],[f43]) ).
thf(f74,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) )
@ X1 ) )
| ( $false = sF2 ) ),
inference(pi_proxy_clausification,[],[f63]) ).
thf(f75,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ X1 ) ) )
=> ( subset @ Y0 @ X1 ) ) ) )
| ( $false = sF2 ) ),
inference(beta-eta_normalization,[],[f74]) ).
thf(f76,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ X1 ) ) )
=> ( subset @ Y0 @ X1 ) )
@ X2 ) )
| ( $false = sF2 ) ),
inference(pi_proxy_clausification,[],[f75]) ).
thf(f77,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X1 ) ) )
=> ( subset @ X2 @ X1 ) ) )
| ( $false = sF2 ) ),
inference(beta-eta_normalization,[],[f76]) ).
thf(f78,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X1 ) ) ) )
| ( $false = sF2 )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f77]) ).
thf(f79,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X1 ) )
@ ( sK11 @ X1 @ X2 ) ) )
| ( $false = sF2 )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f78]) ).
thf(f80,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( in @ ( sK11 @ X1 @ X2 ) @ X2 )
=> ( in @ ( sK11 @ X1 @ X2 ) @ X1 ) ) )
| ( $false = sF2 )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f79]) ).
thf(f82,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( sK11 @ X1 @ X2 ) @ X2 ) )
| ( $false = sF2 )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f80]) ).
thf(f83,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y2 @ Y1 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ( $false = sF3 ) ),
inference(iff_proxy_clausification,[],[f46]) ).
thf(f95,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y2 @ Y1 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y0 @ Y1 ) ) ) ) )
@ X1 ) )
| ( $false = sF3 ) ),
inference(pi_proxy_clausification,[],[f83]) ).
thf(f96,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( subset @ Y1 @ Y0 )
=> ( ( in @ X1 @ Y1 )
=> ( in @ X1 @ Y0 ) ) ) ) ) )
| ( $false = sF3 ) ),
inference(beta-eta_normalization,[],[f95]) ).
thf(f97,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( subset @ Y1 @ Y0 )
=> ( ( in @ X1 @ Y1 )
=> ( in @ X1 @ Y0 ) ) ) )
@ X2 ) )
| ( $false = sF3 ) ),
inference(pi_proxy_clausification,[],[f96]) ).
thf(f98,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( subset @ Y0 @ X2 )
=> ( ( in @ X1 @ Y0 )
=> ( in @ X1 @ X2 ) ) ) ) )
| ( $false = sF3 ) ),
inference(beta-eta_normalization,[],[f97]) ).
thf(f99,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( subset @ Y0 @ X2 )
=> ( ( in @ X1 @ Y0 )
=> ( in @ X1 @ X2 ) ) )
@ X3 ) )
| ( $false = sF3 ) ),
inference(pi_proxy_clausification,[],[f98]) ).
thf(f100,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ( subset @ X3 @ X2 )
=> ( ( in @ X1 @ X3 )
=> ( in @ X1 @ X2 ) ) ) )
| ( $false = sF3 ) ),
inference(beta-eta_normalization,[],[f99]) ).
thf(f101,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( subset @ X3 @ X2 ) )
| ( $false = sF3 )
| ( $true
= ( ( in @ X1 @ X3 )
=> ( in @ X1 @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f100]) ).
thf(f102,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( subset @ X3 @ X2 ) )
| ( $false = sF3 )
| ( $false
= ( in @ X1 @ X3 ) )
| ( $true
= ( in @ X1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f101]) ).
thf(f103,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( subset @ Y0 @ emptyset )
=> ( emptyset = Y0 ) ) )
= $true )
| ( $false = sF4 ) ),
inference(iff_proxy_clausification,[],[f49]) ).
thf(f110,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( subset @ Y0 @ emptyset )
=> ( emptyset = Y0 ) )
@ X1 ) )
| ( $false = sF4 ) ),
inference(pi_proxy_clausification,[],[f103]) ).
thf(f111,plain,
! [X1: $i] :
( ( $true
= ( ( subset @ X1 @ emptyset )
=> ( emptyset = X1 ) ) )
| ( $false = sF4 ) ),
inference(beta-eta_normalization,[],[f110]) ).
thf(f112,plain,
! [X1: $i] :
( ( $false
= ( subset @ X1 @ emptyset ) )
| ( $false = sF4 )
| ( $true
= ( emptyset = X1 ) ) ),
inference(imp_proxy_clausification,[],[f111]) ).
thf(f113,plain,
! [X1: $i] :
( ( $false
= ( subset @ X1 @ emptyset ) )
| ( $false = sF4 )
| ( emptyset = X1 ) ),
inference(equality_proxy_clausification,[],[f112]) ).
thf(f114,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) )
= $true )
| ( $false = sF5 ) ),
inference(iff_proxy_clausification,[],[f52]) ).
thf(f124,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ( in @ Y0 @ Y2 ) ) ) )
@ X1 ) )
| ( $false = sF5 ) ),
inference(pi_proxy_clausification,[],[f114]) ).
thf(f125,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ ( setminus @ Y1 @ Y0 ) )
=> ( in @ X1 @ Y1 ) ) ) ) )
| ( $false = sF5 ) ),
inference(beta-eta_normalization,[],[f124]) ).
thf(f126,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ ( setminus @ Y1 @ Y0 ) )
=> ( in @ X1 @ Y1 ) ) )
@ X2 ) )
| ( $false = sF5 ) ),
inference(pi_proxy_clausification,[],[f125]) ).
thf(f127,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ ( setminus @ Y0 @ X2 ) )
=> ( in @ X1 @ Y0 ) ) ) )
| ( $false = sF5 ) ),
inference(beta-eta_normalization,[],[f126]) ).
thf(f128,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ ( setminus @ Y0 @ X2 ) )
=> ( in @ X1 @ Y0 ) )
@ X3 ) )
| ( $false = sF5 ) ),
inference(pi_proxy_clausification,[],[f127]) ).
thf(f129,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ( in @ X1 @ ( setminus @ X3 @ X2 ) )
=> ( in @ X1 @ X3 ) ) )
| ( $false = sF5 ) ),
inference(beta-eta_normalization,[],[f128]) ).
thf(f130,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( setminus @ X3 @ X2 ) ) )
| ( $false = sF5 )
| ( $true
= ( in @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f129]) ).
thf(f131,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ~ ( in @ Y0 @ Y1 ) ) ) ) )
= $true )
| ( $false = sF6 ) ),
inference(iff_proxy_clausification,[],[f55]) ).
thf(f142,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ~ ( in @ Y0 @ Y1 ) ) ) )
@ X1 ) )
| ( $false = sF6 ) ),
inference(pi_proxy_clausification,[],[f131]) ).
thf(f143,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ ( setminus @ Y1 @ Y0 ) )
=> ~ ( in @ X1 @ Y0 ) ) ) ) )
| ( $false = sF6 ) ),
inference(beta-eta_normalization,[],[f142]) ).
thf(f144,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ ( setminus @ Y1 @ Y0 ) )
=> ~ ( in @ X1 @ Y0 ) ) )
@ X2 ) )
| ( $false = sF6 ) ),
inference(pi_proxy_clausification,[],[f143]) ).
thf(f145,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ ( setminus @ Y0 @ X2 ) )
=> ~ ( in @ X1 @ X2 ) ) ) )
| ( $false = sF6 ) ),
inference(beta-eta_normalization,[],[f144]) ).
thf(f146,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ ( setminus @ Y0 @ X2 ) )
=> ~ ( in @ X1 @ X2 ) )
@ X3 ) )
| ( $false = sF6 ) ),
inference(pi_proxy_clausification,[],[f145]) ).
thf(f147,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ( in @ X1 @ ( setminus @ X3 @ X2 ) )
=> ~ ( in @ X1 @ X2 ) ) )
| ( $false = sF6 ) ),
inference(beta-eta_normalization,[],[f146]) ).
thf(f148,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( setminus @ X3 @ X2 ) ) )
| ( $false = sF6 )
| ( $true
= ( ~ ( in @ X1 @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f147]) ).
thf(f149,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( setminus @ X3 @ X2 ) ) )
| ( $false = sF6 )
| ( $false
= ( in @ X1 @ X2 ) ) ),
inference(not_proxy_clausification,[],[f148]) ).
thf(f150,plain,
( ( $true
= ( subset @ sK0 @ sK1 ) )
| ( $false = sF8 ) ),
inference(iff_proxy_clausification,[],[f61]) ).
thf(f152,plain,
! [X2: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( in @ ( sK11 @ X1 @ X2 ) @ X2 ) )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(forward_demodulation,[],[f82,f44]) ).
thf(f153,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( sK11 @ X1 @ X2 ) @ X2 ) )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f152]) ).
thf(f156,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( subset @ X3 @ X2 ) )
| ( $false
= ( in @ X1 @ X3 ) )
| ( $true
= ( in @ X1 @ X2 ) ) ),
inference(forward_demodulation,[],[f102,f47]) ).
thf(f157,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( subset @ X3 @ X2 ) )
| ( $false
= ( in @ X1 @ X3 ) )
| ( $true
= ( in @ X1 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f156]) ).
thf(f158,plain,
! [X1: $i] :
( ( $true = $false )
| ( $false
= ( subset @ X1 @ emptyset ) )
| ( emptyset = X1 ) ),
inference(forward_demodulation,[],[f113,f50]) ).
thf(f159,plain,
! [X1: $i] :
( ( $false
= ( subset @ X1 @ emptyset ) )
| ( emptyset = X1 ) ),
inference(trivial_inequality_removal,[],[f158]) ).
thf(f160,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( in @ X1 @ ( setminus @ X3 @ X2 ) ) )
| ( $true
= ( in @ X1 @ X3 ) ) ),
inference(forward_demodulation,[],[f130,f53]) ).
thf(f161,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( setminus @ X3 @ X2 ) ) )
| ( $true
= ( in @ X1 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f160]) ).
thf(f162,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( in @ X1 @ ( setminus @ X3 @ X2 ) ) )
| ( $false
= ( in @ X1 @ X2 ) ) ),
inference(forward_demodulation,[],[f149,f56]) ).
thf(f163,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( setminus @ X3 @ X2 ) ) )
| ( $false
= ( in @ X1 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f162]) ).
thf(f164,plain,
( ( $true = $false )
| ( $true
= ( subset @ sK0 @ sK1 ) ) ),
inference(forward_demodulation,[],[f150,f62]) ).
thf(f165,plain,
( $true
= ( subset @ sK0 @ sK1 ) ),
inference(trivial_inequality_removal,[],[f164]) ).
thf(f175,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sF7 ) )
| ( $true
= ( in @ X0 @ sK0 ) ) ),
inference(constrained_superposition,[],[f161,f58]) ).
thf(f178,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sF7 ) )
| ( $false
= ( in @ X0 @ sK1 ) ) ),
inference(constrained_superposition,[],[f163,f58]) ).
thf(f191,plain,
! [X0: $i] :
( ( $true = $false )
| ( $false
= ( in @ X0 @ sK0 ) )
| ( $true
= ( in @ X0 @ sK1 ) ) ),
inference(constrained_superposition,[],[f165,f157]) ).
thf(f199,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sK1 ) )
| ( $false
= ( in @ X0 @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f191]) ).
thf(f230,plain,
! [X0: $i] :
( ( $true = $false )
| ( emptyset = X0 )
| ( $true
= ( in @ ( sK11 @ emptyset @ X0 ) @ X0 ) ) ),
inference(constrained_superposition,[],[f159,f153]) ).
thf(f233,plain,
! [X0: $i] :
( ( $true
= ( in @ ( sK11 @ emptyset @ X0 ) @ X0 ) )
| ( emptyset = X0 ) ),
inference(trivial_inequality_removal,[],[f230]) ).
thf(f342,plain,
( ( $true = $false )
| ( $false
= ( in @ ( sK11 @ emptyset @ sF7 ) @ sK1 ) )
| ( emptyset = sF7 ) ),
inference(constrained_superposition,[],[f178,f233]) ).
thf(f343,plain,
( ( $true = $false )
| ( $true
= ( in @ ( sK11 @ emptyset @ sF7 ) @ sK0 ) )
| ( emptyset = sF7 ) ),
inference(constrained_superposition,[],[f175,f233]) ).
thf(f344,plain,
( ( $true
= ( in @ ( sK11 @ emptyset @ sF7 ) @ sK0 ) )
| ( emptyset = sF7 ) ),
inference(trivial_inequality_removal,[],[f343]) ).
thf(f345,plain,
( ( $false
= ( in @ ( sK11 @ emptyset @ sF7 ) @ sK1 ) )
| ( emptyset = sF7 ) ),
inference(trivial_inequality_removal,[],[f342]) ).
thf(f356,plain,
( $true
= ( in @ ( sK11 @ emptyset @ sF7 ) @ sK0 ) ),
inference(forward_subsumption_resolution,[],[f344,f59]) ).
thf(f357,plain,
( $false
= ( in @ ( sK11 @ emptyset @ sF7 ) @ sK1 ) ),
inference(forward_subsumption_resolution,[],[f345,f59]) ).
thf(f550,plain,
( ( $true = $false )
| ( $false
= ( in @ ( sK11 @ emptyset @ sF7 ) @ sK0 ) ) ),
inference(constrained_superposition,[],[f199,f357]) ).
thf(f551,plain,
( $false
= ( in @ ( sK11 @ emptyset @ sF7 ) @ sK0 ) ),
inference(trivial_inequality_removal,[],[f550]) ).
thf(f582,plain,
$true = $false,
inference(constrained_superposition,[],[f356,f551]) ).
thf(f583,plain,
$false,
inference(trivial_inequality_removal,[],[f582]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU604^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n026.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 13:59:57 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.72/0.43 % (641205)Will run a generic schedule for satisfiability detection.
% 0.72/0.43 % (641217)% WARNING: option uhcvi not known.
% 0.72/0.43 % (641217)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2150127431:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.72/0.43 % (641217)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.72/0.43 % (641217)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.72/0.43 % (641216)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=308063829_2999 on theBenchmark for (2999ds/0Mi)
% 0.72/0.43 % (641221)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3873663870:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.72/0.43 % (641220)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4218780701:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.72/0.43 % (641219)dis+10_1_sil=32000:sp=arity:random_seed=1227589261:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.72/0.43 % (641218)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=102976463:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.72/0.43 % (641222)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4263188960:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.72/0.43 % (641220)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.72/0.43 % Exception at run slice level
% 0.72/0.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.72/0.43 % (641233)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=842276420:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.72/0.43 % Exception at run slice level
% 0.72/0.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.72/0.43 % (641239)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1955052066:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.72/0.43 % (641219)Instruction limit reached!
% 0.72/0.43 % (641219)------------------------------
% 0.72/0.43 % (641219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.43 % (641219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.43 % (641219)CaDiCaL version: 2.1.3
% 0.72/0.43 % (641219)Termination reason: Instruction limit
% 0.72/0.43 % (641219)Termination phase: Saturation
% 0.72/0.43 % (641219)Time elapsed: 0.050 s
% 0.72/0.43 % (641219)Peak memory usage: 12 MB
% 0.72/0.43 % (641219)Instructions burned: 103 (million)
% 0.72/0.43 % (641220)Instruction limit reached!
% 0.72/0.43 % (641220)------------------------------
% 0.72/0.43 % (641220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.43 % (641220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.43 % (641220)CaDiCaL version: 2.1.3
% 0.72/0.43 % (641220)Termination reason: Instruction limit
% 0.72/0.43 % (641220)Termination phase: Saturation
% 0.72/0.43 % (641220)Time elapsed: 0.059 s
% 0.72/0.43 % (641220)Peak memory usage: 12 MB
% 0.72/0.43 % (641220)Instructions burned: 121 (million)
% 0.72/0.43 % (641221)Instruction limit reached!
% 0.72/0.43 % (641221)------------------------------
% 0.72/0.43 % (641221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.43 % (641221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.43 % (641221)CaDiCaL version: 2.1.3
% 0.72/0.43 % (641221)Termination reason: Instruction limit
% 0.72/0.43 % (641221)Termination phase: Saturation
% 0.72/0.43 % (641221)Time elapsed: 0.063 s
% 0.72/0.43 % (641221)Peak memory usage: 12 MB
% 0.72/0.43 % (641221)Instructions burned: 131 (million)
% 0.72/0.43 % (641251)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=2419534080:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.72/0.43 % (641251)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.72/0.43 % (641251)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.72/0.43 % (641253)ott-21_1_sil=16000:fs=off:random_seed=2286508389:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.72/0.43 % (641222)Instruction limit reached!
% 0.72/0.43 % (641222)------------------------------
% 0.72/0.43 % (641222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.43 % (641222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.43 % (641222)CaDiCaL version: 2.1.3
% 0.72/0.43 % (641222)Termination reason: Instruction limit
% 0.72/0.43 % (641222)Termination phase: Saturation
% 0.72/0.43 % (641222)Time elapsed: 0.081 s
% 0.72/0.43 % (641222)Peak memory usage: 12 MB
% 0.72/0.43 % (641222)Instructions burned: 160 (million)
% 0.72/0.43 % (641254)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1300906206:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.72/0.43 % (641260)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3259285757:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.72/0.43 % Exception at run slice level
% 0.72/0.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.72/0.43 % (641239)Instruction limit reached!
% 0.72/0.43 % (641239)------------------------------
% 0.72/0.43 % (641239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.43 % (641239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.43 % (641239)CaDiCaL version: 2.1.3
% 0.72/0.43 % (641239)Termination reason: Instruction limit
% 0.72/0.43 % (641239)Termination phase: Saturation
% 0.72/0.43 % (641239)Time elapsed: 0.068 s
% 0.72/0.43 % (641239)Peak memory usage: 12 MB
% 0.72/0.43 % (641239)Instructions burned: 131 (million)
% 0.72/0.43 % (641266)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=471815782:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 0.72/0.43 % (641268)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1340549621:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 0.72/0.43 % Exception at run slice level
% 0.72/0.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.72/0.43 % (641266) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-641205-641266"...
% 0.72/0.43 % (641266)...printing done.
% 0.72/0.43 % (641266)Refutation found. Thanks to Tanya!
% 0.72/0.43 % SZS status Theorem for theBenchmark
% 0.72/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.72/0.43 % (641266)------------------------------
% 0.72/0.43 % (641266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.43 % (641266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.43 % (641266)CaDiCaL version: 2.1.3
% 0.72/0.43 % (641266)Termination reason: Refutation
% 0.72/0.43 % (641266)Time elapsed: 0.023 s
% 0.72/0.43 % (641266)Peak memory usage: 12 MB
% 0.72/0.43 % (641266)Instructions burned: 45 (million)
% 0.72/0.43 % (641205)Success in time 0.194 s
% 0.72/0.43 % Vampire exiting
%------------------------------------------------------------------------------