%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU713^2 : 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 : n006.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 08:33:05 AM UTC 2026
% Result : Theorem 1.68s 0.54s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 4
% Syntax : Number of formulae : 61 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 444 ( 98 equ; 0 cnn)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 681 ( 7 ~; 21 |; 15 &; 517 @)
% ( 0 <=>; 75 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 18 usr; 9 con; 0-4 aty)
% ( 46 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 153 ( 55 ^; 92 !; 6 ?; 153 :)
% 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,
setminus: $i > $i > $i ).
thf(func_def_6,type,
setminusEL: $o ).
thf(func_def_7,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_8,type,
vIMP: $o > $o > $o ).
thf(func_def_9,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_18,type,
vNOT: $o > $o ).
thf(func_def_19,type,
sK3: $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,axiom,
( setminusEL
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
=> ( in @ X2 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusEL) ).
thf(f4,conjecture,
( powersetI
=> ( powersetE
=> ( setminusEL
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( in @ ( setminus @ X1 @ X2 ) @ ( powerset @ X0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusT_lem) ).
thf(f5,negated_conjecture,
~ ( powersetI
=> ( powersetE
=> ( setminusEL
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( in @ ( setminus @ X1 @ X2 ) @ ( powerset @ X0 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f6,plain,
( powersetI
= ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) )
=> ( in @ X1 @ ( powerset @ X0 ) ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f7,plain,
( powersetI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
( powersetE
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f9,plain,
( powersetE
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y2 ) )
=> ( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
( setminusEL
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
=> ( in @ X2 @ X0 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f11,plain,
( setminusEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
~ ( powersetI
=> ( powersetE
=> ( setminusEL
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( in @ ( setminus @ X1 @ X2 ) @ ( powerset @ X0 ) ) ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f13,plain,
~ ( ( powersetI = $true )
=> ( ( powersetE = $true )
=> ( ( setminusEL = $true )
=> ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
=> ( ( in @ ( setminus @ X1 @ X2 ) @ ( powerset @ X0 ) )
= $true ) ) ) ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
( ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( in @ ( setminus @ X1 @ X2 ) @ ( powerset @ X0 ) )
!= $true )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) )
& ( setminusEL = $true )
& ( powersetE = $true )
& ( powersetI = $true ) ),
inference(ennf_transformation,[],[f13]) ).
thf(f15,plain,
( ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( in @ ( setminus @ X1 @ X2 ) @ ( powerset @ X0 ) )
!= $true )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) )
& ( setminusEL = $true )
& ( powersetE = $true )
& ( powersetI = $true ) ),
inference(flattening,[],[f14]) ).
thf(f16,plain,
( ( $true
!= ( in @ ( setminus @ sK1 @ sK2 ) @ ( powerset @ sK0 ) ) )
& ( $true
= ( in @ sK2 @ ( powerset @ sK0 ) ) )
& ( $true
= ( in @ sK1 @ ( powerset @ sK0 ) ) )
& ( setminusEL = $true )
& ( powersetE = $true )
& ( powersetI = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f15]) ).
thf(f17,plain,
( powersetI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f18,plain,
( powersetE
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y2 ) )
=> ( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f19,plain,
( setminusEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f20,plain,
powersetI = $true,
inference(cnf_transformation,[],[f16]) ).
thf(f21,plain,
powersetE = $true,
inference(cnf_transformation,[],[f16]) ).
thf(f22,plain,
setminusEL = $true,
inference(cnf_transformation,[],[f16]) ).
thf(f23,plain,
( $true
= ( in @ sK1 @ ( powerset @ sK0 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f25,plain,
( $true
!= ( in @ ( setminus @ sK1 @ sK2 ) @ ( powerset @ sK0 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f28,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f17,f20]) ).
thf(f29,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y2 ) )
=> ( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f18,f21]) ).
thf(f30,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f19,f22]) ).
thf(f31,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y2 @ Y1 ) )
=> ( in @ Y0 @ Y2 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f30]) ).
thf(f32,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ ( setminus @ Y1 @ Y0 ) )
=> ( in @ X1 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f31]) ).
thf(f33,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ ( setminus @ Y1 @ Y0 ) )
=> ( in @ X1 @ Y1 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f32]) ).
thf(f34,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ ( setminus @ Y0 @ X2 ) )
=> ( in @ X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f35,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ ( setminus @ Y0 @ X2 ) )
=> ( in @ X1 @ Y0 ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f34]) ).
thf(f36,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( in @ X1 @ ( setminus @ X3 @ X2 ) )
=> ( in @ X1 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f35]) ).
thf(f37,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( setminus @ X3 @ X2 ) ) )
| ( $true
= ( in @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f36]) ).
thf(f38,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y2 ) )
=> ( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f29]) ).
thf(f39,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( ( in @ X1 @ Y0 )
=> ( in @ X1 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f40,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( ( in @ X1 @ Y0 )
=> ( in @ X1 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X2 @ ( powerset @ Y0 ) )
=> ( ( in @ X1 @ X2 )
=> ( in @ X1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f40]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ X2 @ ( powerset @ Y0 ) )
=> ( ( in @ X1 @ X2 )
=> ( in @ X1 @ Y0 ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f41]) ).
thf(f43,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( in @ X2 @ ( powerset @ X3 ) )
=> ( ( in @ X1 @ X2 )
=> ( in @ X1 @ X3 ) ) ) ),
inference(beta-eta_normalization,[],[f42]) ).
thf(f44,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X2 @ ( powerset @ X3 ) ) )
| ( $true
= ( ( in @ X1 @ X2 )
=> ( in @ X1 @ X3 ) ) ) ),
inference(imp_proxy_clausification,[],[f43]) ).
thf(f45,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X2 @ ( powerset @ X3 ) ) )
| ( $false
= ( in @ X1 @ X2 ) )
| ( $true
= ( in @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f44]) ).
thf(f46,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f28]) ).
thf(f47,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X1 )
=> ( in @ Y1 @ Y0 ) ) )
=> ( in @ X1 @ ( powerset @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f46]) ).
thf(f48,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X1 )
=> ( in @ Y1 @ Y0 ) ) )
=> ( in @ X1 @ ( powerset @ Y0 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f47]) ).
thf(f49,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) ) )
=> ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f48]) ).
thf(f50,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) ) ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f49]) ).
thf(f51,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) )
@ ( sK3 @ X1 @ X2 ) ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(sigma_proxy_clausification,[],[f50]) ).
thf(f52,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( in @ ( sK3 @ X1 @ X2 ) @ X1 )
=> ( in @ ( sK3 @ X1 @ X2 ) @ X2 ) ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f51]) ).
thf(f53,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( in @ ( sK3 @ X1 @ X2 ) @ X2 ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f52]) ).
thf(f54,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( sK3 @ X1 @ X2 ) @ X1 ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f52]) ).
thf(f57,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( in @ ( sK3 @ ( setminus @ X0 @ X1 ) @ X2 ) @ X0 ) )
| ( $true
= ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X2 ) ) ) ),
inference(constrained_superposition,[],[f37,f54]) ).
thf(f61,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( in @ ( sK3 @ ( setminus @ X0 @ X1 ) @ X2 ) @ X0 ) )
| ( $true
= ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X2 ) ) ) ),
inference(trivial_inequality_removal,[],[f57]) ).
thf(f332,plain,
! [X0: $i] :
( ( $true = $false )
| ( $false
= ( in @ X0 @ sK1 ) )
| ( $true
= ( in @ X0 @ sK0 ) ) ),
inference(constrained_superposition,[],[f23,f45]) ).
thf(f490,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sK0 ) )
| ( $false
= ( in @ X0 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f332]) ).
thf(f582,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( in @ X0 @ ( powerset @ sK0 ) ) )
| ( $false
= ( in @ ( sK3 @ X0 @ sK0 ) @ sK1 ) ) ),
inference(constrained_superposition,[],[f53,f490]) ).
thf(f585,plain,
! [X0: $i] :
( ( $false
= ( in @ ( sK3 @ X0 @ sK0 ) @ sK1 ) )
| ( $true
= ( in @ X0 @ ( powerset @ sK0 ) ) ) ),
inference(trivial_inequality_removal,[],[f582]) ).
thf(f886,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( in @ ( setminus @ sK1 @ X0 ) @ ( powerset @ sK0 ) ) )
| ( $true
= ( in @ ( setminus @ sK1 @ X0 ) @ ( powerset @ sK0 ) ) ) ),
inference(constrained_superposition,[],[f61,f585]) ).
thf(f937,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( in @ ( setminus @ sK1 @ X0 ) @ ( powerset @ sK0 ) ) ) ),
inference(duplicate_literal_removal,[],[f886]) ).
thf(f938,plain,
! [X0: $i] :
( $true
= ( in @ ( setminus @ sK1 @ X0 ) @ ( powerset @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f937]) ).
thf(f979,plain,
$false,
inference(backward_subsumption_resolution,[],[f25,f938]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU713^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n006.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 14:13:24 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 1.68/0.53 % (782238)Will run a generic schedule for satisfiability detection.
% 1.68/0.53 % (782244)% WARNING: option uhcvi not known.
% 1.68/0.53 % (782243)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2848477124_2999 on theBenchmark for (2999ds/0Mi)
% 1.68/0.53 % (782245)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2629095325:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.68/0.53 % (782246)dis+10_1_sil=32000:sp=arity:random_seed=3390040308:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.68/0.53 % (782244)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2416763620:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.68/0.53 % (782244)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.68/0.53 % Exception at run slice level
% 1.68/0.53 User error: % (782244)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.68/0.53 Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.68/0.53 % (782249)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3731825227:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.68/0.53 % (782247)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2131424982:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.68/0.53 % (782247)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.68/0.53 % (782248)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4225853561:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.68/0.53 % (782255)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1223670493:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.68/0.53 % Exception at run slice level
% 1.68/0.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.68/0.53 % (782259)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=543240118:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.68/0.53 % (782246)Instruction limit reached!
% 1.68/0.53 % (782246)------------------------------
% 1.68/0.53 % (782246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.53 % (782246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.53 % (782246)CaDiCaL version: 2.1.3
% 1.68/0.53 % (782246)Termination reason: Instruction limit
% 1.68/0.53 % (782246)Termination phase: Saturation
% 1.68/0.53 % (782246)Time elapsed: 0.049 s
% 1.68/0.53 % (782246)Peak memory usage: 12 MB
% 1.68/0.53 % (782246)Instructions burned: 104 (million)
% 1.68/0.53 % (782247)Instruction limit reached!
% 1.68/0.53 % (782247)------------------------------
% 1.68/0.53 % (782247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.53 % (782247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.53 % (782247)CaDiCaL version: 2.1.3
% 1.68/0.53 % (782247)Termination reason: Instruction limit
% 1.68/0.53 % (782247)Termination phase: Saturation
% 1.68/0.53 % (782247)Time elapsed: 0.060 s
% 1.68/0.53 % (782247)Peak memory usage: 12 MB
% 1.68/0.53 % (782247)Instructions burned: 117 (million)
% 1.68/0.53 % (782261)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=2743722395:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.68/0.53 % (782261)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.68/0.53 % (782261)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.68/0.53 % (782249)Instruction limit reached!
% 1.68/0.53 % (782249)------------------------------
% 1.68/0.53 % (782249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.53 % (782249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.53 % (782249)CaDiCaL version: 2.1.3
% 1.68/0.53 % (782249)Termination reason: Instruction limit
% 1.68/0.53 % (782249)Termination phase: Saturation
% 1.68/0.53 % (782249)Time elapsed: 0.076 s
% 1.68/0.53 % (782249)Peak memory usage: 12 MB
% 1.68/0.53 % (782249)Instructions burned: 160 (million)
% 1.68/0.53 % (782262)ott-21_1_sil=16000:fs=off:random_seed=477550081:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.68/0.53 % (782264)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2971712491:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.68/0.53 % (782248)Instruction limit reached!
% 1.68/0.53 % (782248)------------------------------
% 1.68/0.53 % (782248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.53 % (782248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.53 % (782248)CaDiCaL version: 2.1.3
% 1.68/0.53 % (782248)Termination reason: Instruction limit
% 1.68/0.53 % (782248)Termination phase: Saturation
% 1.68/0.53 % (782248)Time elapsed: 0.112 s
% 1.68/0.53 % (782248)Peak memory usage: 12 MB
% 1.68/0.53 % (782248)Instructions burned: 132 (million)
% 1.68/0.53 % (782259)Instruction limit reached!
% 1.68/0.53 % (782259)------------------------------
% 1.68/0.53 % (782259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.53 % (782259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.53 % (782259)CaDiCaL version: 2.1.3
% 1.68/0.53 % (782259)Termination reason: Instruction limit
% 1.68/0.53 % (782259)Termination phase: Saturation
% 1.68/0.53 % (782259)Time elapsed: 0.091 s
% 1.68/0.53 % (782259)Peak memory usage: 12 MB
% 1.68/0.53 % (782259)Instructions burned: 133 (million)
% 1.68/0.53 % (782267)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2942302874:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.68/0.53 % Exception at run slice level
% 1.68/0.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.68/0.53 % (782268)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=326048885:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.68/0.53 % (782262)Instruction limit reached!
% 1.68/0.53 % (782262)------------------------------
% 1.68/0.53 % (782262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.53 % (782262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.53 % (782262)CaDiCaL version: 2.1.3
% 1.68/0.53 % (782262)Termination reason: Instruction limit
% 1.68/0.53 % (782262)Termination phase: Saturation
% 1.68/0.53 % (782262)Time elapsed: 0.086 s
% 1.68/0.53 % (782262)Peak memory usage: 12 MB
% 1.68/0.53 % (782262)Instructions burned: 180 (million)
% 1.68/0.53 % (782270)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1471159068:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.68/0.54 % Exception at run slice level
% 1.68/0.54 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.68/0.54 % (782272)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=291050059:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 1.68/0.54 % (782272)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.68/0.54 % (782274)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3303836978:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 1.68/0.54 % (782264)Instruction limit reached!
% 1.68/0.54 % (782264)------------------------------
% 1.68/0.54 % (782264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.54 % (782264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.54 % (782264)CaDiCaL version: 2.1.3
% 1.68/0.54 % (782264)Termination reason: Instruction limit
% 1.68/0.54 % (782264)Termination phase: Saturation
% 1.68/0.54 % (782264)Time elapsed: 0.125 s
% 1.68/0.54 % (782264)Peak memory usage: 13 MB
% 1.68/0.54 % (782264)Instructions burned: 478 (million)
% 1.68/0.54 % (782274)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.68/0.54 % (782277)fmb+10_1_sil=64000:random_seed=805860933:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 1.68/0.54 % (782277)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.68/0.54 % Exception at run slice level
% 1.68/0.54 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.68/0.54 % (782279)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3248621051:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 1.68/0.54 % Exception at run slice level
% 1.68/0.54 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.68/0.54 % (782281)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2773712581:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 1.68/0.54 % Exception at run slice level
% 1.68/0.54 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.68/0.54 % (782283)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3480611184:i=5131_2997 on theBenchmark for (2997ds/5131Mi)
% 1.68/0.54 % (782283)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.68/0.54 % (782272) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-782238-782272"...
% 1.68/0.54 % (782272)...printing done.
% 1.68/0.54 % (782272)Refutation found. Thanks to Tanya!
% 1.68/0.54 % SZS status Theorem for theBenchmark
% 1.68/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.68/0.54 % (782272)------------------------------
% 1.68/0.54 % (782272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.54 % (782272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.54 % (782272)CaDiCaL version: 2.1.3
% 1.68/0.54 % (782272)Termination reason: Refutation
% 1.68/0.54 % (782272)Time elapsed: 0.081 s
% 1.68/0.54 % (782272)Peak memory usage: 13 MB
% 1.68/0.54 % (782272)Instructions burned: 175 (million)
% 1.68/0.54 % (782238)Success in time 0.31 s
% 1.68/0.54 % Vampire exiting
%------------------------------------------------------------------------------