%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU737^2 : 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 : 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 08:33:11 AM UTC 2026
% Result : Theorem 1.10s 0.43s
% Output : Refutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 4
% Syntax : Number of formulae : 84 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 1031 ( 213 equ; 0 cnn)
% Maximal formula atoms : 8 ( 12 avg)
% Number of connectives : 1582 ( 7 ~; 109 |; 18 &;1217 @)
% ( 0 <=>; 167 =>; 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 : 24 ( 20 usr; 9 con; 0-4 aty)
% ( 64 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 208 ( 74 ^; 128 !; 6 ?; 208 :)
% 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,
subset: $i > $i > $o ).
thf(func_def_3,type,
setminus: $i > $i > $i ).
thf(func_def_4,type,
complementT_lem: $o ).
thf(func_def_6,type,
subsetTI: $o ).
thf(func_def_7,type,
contraSubsetComplement: $o ).
thf(func_def_8,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_9,type,
vIMP: $o > $o > $o ).
thf(func_def_10,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_13,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_20,type,
vNOT: $o > $o ).
thf(func_def_21,type,
sK3: $i > $i > $i > $i ).
thf(f1,axiom,
( complementT_lem
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complementT_lem) ).
thf(f2,axiom,
( subsetTI
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ( in @ X3 @ X1 )
=> ( in @ X3 @ X2 ) ) )
=> ( subset @ X1 @ X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetTI) ).
thf(f3,axiom,
( contraSubsetComplement
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ( in @ X3 @ X2 )
=> ( in @ X3 @ ( setminus @ X0 @ X1 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contraSubsetComplement) ).
thf(f4,conjecture,
( complementT_lem
=> ( subsetTI
=> ( contraSubsetComplement
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
=> ( subset @ X2 @ ( setminus @ X0 @ X1 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complementTcontraSubset) ).
thf(f5,negated_conjecture,
~ ( complementT_lem
=> ( subsetTI
=> ( contraSubsetComplement
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
=> ( subset @ X2 @ ( setminus @ X0 @ X1 ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f6,plain,
( complementT_lem
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X0 ) ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f7,plain,
( complementT_lem
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( in @ ( setminus @ Y1 @ Y0 ) @ ( powerset @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
( subsetTI
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ( in @ X3 @ X1 )
=> ( in @ X3 @ X2 ) ) )
=> ( subset @ X1 @ X2 ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f9,plain,
( subsetTI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y1 ) )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( ( in @ Y3 @ Y0 )
=> ( in @ Y3 @ Y2 ) ) ) )
=> ( subset @ Y0 @ Y2 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
( contraSubsetComplement
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ( in @ X3 @ X2 )
=> ( in @ X3 @ ( setminus @ X0 @ X1 ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f11,plain,
( contraSubsetComplement
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y1 ) )
=> ( ( subset @ Y0 @ ( setminus @ Y1 @ Y2 ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( ( in @ Y3 @ Y2 )
=> ( in @ Y3 @ ( setminus @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
~ ( complementT_lem
=> ( subsetTI
=> ( contraSubsetComplement
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
=> ( subset @ X2 @ ( setminus @ X0 @ X1 ) ) ) ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f13,plain,
~ ( ( complementT_lem = $true )
=> ( ( subsetTI = $true )
=> ( ( contraSubsetComplement = $true )
=> ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
=> ( ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
= $true )
=> ( ( subset @ X2 @ ( setminus @ X0 @ X1 ) )
= $true ) ) ) ) ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
( ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( subset @ X2 @ ( setminus @ X0 @ X1 ) )
!= $true )
& ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
= $true )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) )
& ( contraSubsetComplement = $true )
& ( subsetTI = $true )
& ( complementT_lem = $true ) ),
inference(ennf_transformation,[],[f13]) ).
thf(f15,plain,
( ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( subset @ X2 @ ( setminus @ X0 @ X1 ) )
!= $true )
& ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
= $true )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) )
& ( contraSubsetComplement = $true )
& ( subsetTI = $true )
& ( complementT_lem = $true ) ),
inference(flattening,[],[f14]) ).
thf(f16,plain,
( ( $true
!= ( subset @ sK2 @ ( setminus @ sK0 @ sK1 ) ) )
& ( $true
= ( subset @ sK1 @ ( setminus @ sK0 @ sK2 ) ) )
& ( $true
= ( in @ sK2 @ ( powerset @ sK0 ) ) )
& ( $true
= ( in @ sK1 @ ( powerset @ sK0 ) ) )
& ( contraSubsetComplement = $true )
& ( subsetTI = $true )
& ( complementT_lem = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f15]) ).
thf(f17,plain,
( complementT_lem
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( in @ ( setminus @ Y1 @ Y0 ) @ ( powerset @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f18,plain,
( subsetTI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y1 ) )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( ( in @ Y3 @ Y0 )
=> ( in @ Y3 @ Y2 ) ) ) )
=> ( subset @ Y0 @ Y2 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f19,plain,
( contraSubsetComplement
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y1 ) )
=> ( ( subset @ Y0 @ ( setminus @ Y1 @ Y2 ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( ( in @ Y3 @ Y2 )
=> ( in @ Y3 @ ( setminus @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f20,plain,
complementT_lem = $true,
inference(cnf_transformation,[],[f16]) ).
thf(f21,plain,
subsetTI = $true,
inference(cnf_transformation,[],[f16]) ).
thf(f22,plain,
contraSubsetComplement = $true,
inference(cnf_transformation,[],[f16]) ).
thf(f23,plain,
( $true
= ( in @ sK1 @ ( powerset @ sK0 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f24,plain,
( $true
= ( in @ sK2 @ ( powerset @ sK0 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f25,plain,
( $true
= ( subset @ sK1 @ ( setminus @ sK0 @ sK2 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f26,plain,
( $true
!= ( subset @ sK2 @ ( setminus @ sK0 @ sK1 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f29,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( in @ ( setminus @ Y1 @ Y0 ) @ ( powerset @ Y1 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f17,f20]) ).
thf(f30,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y1 ) )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( ( in @ Y3 @ Y0 )
=> ( in @ Y3 @ Y2 ) ) ) )
=> ( subset @ Y0 @ Y2 ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f18,f21]) ).
thf(f31,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y1 ) )
=> ( ( subset @ Y0 @ ( setminus @ Y1 @ Y2 ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( ( in @ Y3 @ Y2 )
=> ( in @ Y3 @ ( setminus @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f19,f22]) ).
thf(f32,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y1 ) )
=> ( ( subset @ Y0 @ ( setminus @ Y1 @ Y2 ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( ( in @ Y3 @ Y2 )
=> ( in @ Y3 @ ( setminus @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f31]) ).
thf(f33,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ ( powerset @ Y0 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( ( subset @ X1 @ ( setminus @ Y0 @ Y1 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ ( setminus @ Y0 @ X1 ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f32]) ).
thf(f34,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ ( powerset @ Y0 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( ( subset @ X1 @ ( setminus @ Y0 @ Y1 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ ( setminus @ Y0 @ X1 ) ) ) ) ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f33]) ).
thf(f35,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( in @ X1 @ ( powerset @ X2 ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( ( subset @ X1 @ ( setminus @ X2 @ Y0 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ ( setminus @ X2 @ X1 ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f36,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( ( subset @ X1 @ ( setminus @ X2 @ Y0 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ ( setminus @ X2 @ X1 ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f35]) ).
thf(f37,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( ( subset @ X1 @ ( setminus @ X2 @ Y0 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ ( setminus @ X2 @ X1 ) ) ) ) ) ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f36]) ).
thf(f38,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $true
= ( ( in @ X3 @ ( powerset @ X2 ) )
=> ( ( subset @ X1 @ ( setminus @ X2 @ X3 ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ Y0 @ X3 )
=> ( in @ Y0 @ ( setminus @ X2 @ X1 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f37]) ).
thf(f39,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $false
= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $true
= ( ( subset @ X1 @ ( setminus @ X2 @ X3 ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ Y0 @ X3 )
=> ( in @ Y0 @ ( setminus @ X2 @ X1 ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f38]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $false
= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $false
= ( subset @ X1 @ ( setminus @ X2 @ X3 ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ Y0 @ X3 )
=> ( in @ Y0 @ ( setminus @ X2 @ X1 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $false
= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $false
= ( subset @ X1 @ ( setminus @ X2 @ X3 ) ) )
| ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ Y0 @ X3 )
=> ( in @ Y0 @ ( setminus @ X2 @ X1 ) ) ) )
@ X4 ) ) ),
inference(pi_proxy_clausification,[],[f40]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $false
= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $false
= ( subset @ X1 @ ( setminus @ X2 @ X3 ) ) )
| ( $true
= ( ( in @ X4 @ X2 )
=> ( ( in @ X4 @ X3 )
=> ( in @ X4 @ ( setminus @ X2 @ X1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f41]) ).
thf(f43,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $false
= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $false
= ( subset @ X1 @ ( setminus @ X2 @ X3 ) ) )
| ( $false
= ( in @ X4 @ X2 ) )
| ( $true
= ( ( in @ X4 @ X3 )
=> ( in @ X4 @ ( setminus @ X2 @ X1 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f42]) ).
thf(f44,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( in @ X4 @ ( setminus @ X2 @ X1 ) ) )
| ( $false
= ( subset @ X1 @ ( setminus @ X2 @ X3 ) ) )
| ( $false
= ( in @ X4 @ X3 ) )
| ( $false
= ( in @ X4 @ X2 ) )
| ( $false
= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f43]) ).
thf(f45,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y1 ) )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( ( in @ Y3 @ Y0 )
=> ( in @ Y3 @ Y2 ) ) ) )
=> ( subset @ Y0 @ Y2 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f30]) ).
thf(f46,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ ( powerset @ Y0 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( in @ Y2 @ X1 )
=> ( in @ Y2 @ Y1 ) ) ) )
=> ( subset @ X1 @ Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f45]) ).
thf(f47,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ ( powerset @ Y0 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( in @ Y2 @ X1 )
=> ( in @ Y2 @ Y1 ) ) ) )
=> ( subset @ X1 @ Y1 ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f46]) ).
thf(f48,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( in @ X1 @ ( powerset @ X2 ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( in @ Y1 @ X1 )
=> ( in @ Y1 @ Y0 ) ) ) )
=> ( subset @ X1 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f47]) ).
thf(f49,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( in @ Y1 @ X1 )
=> ( in @ Y1 @ Y0 ) ) ) )
=> ( subset @ X1 @ Y0 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f48]) ).
thf(f50,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( in @ Y1 @ X1 )
=> ( in @ Y1 @ Y0 ) ) ) )
=> ( subset @ X1 @ Y0 ) ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f49]) ).
thf(f51,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $true
= ( ( in @ X3 @ ( powerset @ X2 ) )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X3 ) ) ) )
=> ( subset @ X1 @ X3 ) ) ) ) ),
inference(beta-eta_normalization,[],[f50]) ).
thf(f52,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $false
= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X3 ) ) ) )
=> ( subset @ X1 @ X3 ) ) ) ),
inference(imp_proxy_clausification,[],[f51]) ).
thf(f53,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $false
= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X3 ) ) ) ) )
| ( $true
= ( subset @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f52]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $false
= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X3 ) ) )
@ ( sK3 @ X3 @ X1 @ X2 ) ) )
| ( $true
= ( subset @ X1 @ X3 ) ) ),
inference(sigma_proxy_clausification,[],[f53]) ).
thf(f55,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $false
= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $false
= ( ( in @ ( sK3 @ X3 @ X1 @ X2 ) @ X2 )
=> ( ( in @ ( sK3 @ X3 @ X1 @ X2 ) @ X1 )
=> ( in @ ( sK3 @ X3 @ X1 @ X2 ) @ X3 ) ) ) )
| ( $true
= ( subset @ X1 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f54]) ).
thf(f56,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $false
= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $false
= ( ( in @ ( sK3 @ X3 @ X1 @ X2 ) @ X1 )
=> ( in @ ( sK3 @ X3 @ X1 @ X2 ) @ X3 ) ) )
| ( $true
= ( subset @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f55]) ).
thf(f57,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( in @ ( sK3 @ X3 @ X1 @ X2 ) @ X2 ) )
| ( $false
= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $true
= ( subset @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f55]) ).
thf(f58,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ ( sK3 @ X3 @ X1 @ X2 ) @ X3 ) )
| ( $false
= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $true
= ( subset @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f56]) ).
thf(f59,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( in @ ( sK3 @ X3 @ X1 @ X2 ) @ X1 ) )
| ( $false
= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $true
= ( subset @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f56]) ).
thf(f60,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( in @ ( setminus @ Y1 @ Y0 ) @ ( powerset @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f29]) ).
thf(f61,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ ( powerset @ Y0 ) )
=> ( in @ ( setminus @ Y0 @ X1 ) @ ( powerset @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f60]) ).
thf(f62,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ ( powerset @ Y0 ) )
=> ( in @ ( setminus @ Y0 @ X1 ) @ ( powerset @ Y0 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f61]) ).
thf(f63,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( in @ X1 @ ( powerset @ X2 ) )
=> ( in @ ( setminus @ X2 @ X1 ) @ ( powerset @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f62]) ).
thf(f64,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( setminus @ X2 @ X1 ) @ ( powerset @ X2 ) ) )
| ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f63]) ).
thf(f178,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( in @ X0 @ ( setminus @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ X0 @ sK2 ) )
| ( $false
= ( in @ X0 @ sK0 ) )
| ( ( in @ sK2 @ ( powerset @ sK0 ) )
= $false )
| ( ( in @ sK1 @ ( powerset @ sK0 ) )
= $false ) ),
inference(constrained_superposition,[],[f25,f44]) ).
thf(f201,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ ( setminus @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ X0 @ sK2 ) )
| ( $false
= ( in @ X0 @ sK0 ) )
| ( ( in @ sK2 @ ( powerset @ sK0 ) )
= $false )
| ( ( in @ sK1 @ ( powerset @ sK0 ) )
= $false ) ),
inference(trivial_inequality_removal,[],[f178]) ).
thf(f220,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( in @ X0 @ ( setminus @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ X0 @ sK2 ) )
| ( $false
= ( in @ X0 @ sK0 ) )
| ( ( in @ sK1 @ ( powerset @ sK0 ) )
= $false ) ),
inference(forward_demodulation,[],[f201,f24]) ).
thf(f221,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ ( setminus @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ X0 @ sK2 ) )
| ( $false
= ( in @ X0 @ sK0 ) )
| ( ( in @ sK1 @ ( powerset @ sK0 ) )
= $false ) ),
inference(trivial_inequality_removal,[],[f220]) ).
thf(f224,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( in @ X0 @ ( setminus @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ X0 @ sK2 ) )
| ( $false
= ( in @ X0 @ sK0 ) ) ),
inference(forward_demodulation,[],[f221,f23]) ).
thf(f225,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ ( setminus @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ X0 @ sK2 ) )
| ( $false
= ( in @ X0 @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f224]) ).
thf(f230,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( in @ ( setminus @ sK0 @ sK1 ) @ ( powerset @ X1 ) ) )
| ( $false
= ( in @ X0 @ ( powerset @ X1 ) ) )
| ( $true
= ( subset @ X0 @ ( setminus @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ ( sK3 @ ( setminus @ sK0 @ sK1 ) @ X0 @ X1 ) @ sK2 ) )
| ( $false
= ( in @ ( sK3 @ ( setminus @ sK0 @ sK1 ) @ X0 @ X1 ) @ sK0 ) ) ),
inference(constrained_superposition,[],[f58,f225]) ).
thf(f233,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( in @ ( sK3 @ ( setminus @ sK0 @ sK1 ) @ X0 @ X1 ) @ sK2 ) )
| ( $false
= ( in @ X0 @ ( powerset @ X1 ) ) )
| ( $true
= ( subset @ X0 @ ( setminus @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ ( setminus @ sK0 @ sK1 ) @ ( powerset @ X1 ) ) )
| ( $false
= ( in @ ( sK3 @ ( setminus @ sK0 @ sK1 ) @ X0 @ X1 ) @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f230]) ).
thf(f722,plain,
! [X0: $i] :
( ( $true = $false )
| ( $false
= ( in @ ( setminus @ sK0 @ sK1 ) @ ( powerset @ X0 ) ) )
| ( $false
= ( in @ sK2 @ ( powerset @ X0 ) ) )
| ( $true
= ( subset @ sK2 @ ( setminus @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ sK2 @ ( powerset @ X0 ) ) )
| ( $true
= ( subset @ sK2 @ ( setminus @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ ( setminus @ sK0 @ sK1 ) @ ( powerset @ X0 ) ) )
| ( $false
= ( in @ ( sK3 @ ( setminus @ sK0 @ sK1 ) @ sK2 @ X0 ) @ sK0 ) ) ),
inference(constrained_superposition,[],[f59,f233]) ).
thf(f726,plain,
! [X0: $i] :
( ( $true = $false )
| ( $false
= ( in @ ( setminus @ sK0 @ sK1 ) @ ( powerset @ X0 ) ) )
| ( $false
= ( in @ sK2 @ ( powerset @ X0 ) ) )
| ( $true
= ( subset @ sK2 @ ( setminus @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ ( sK3 @ ( setminus @ sK0 @ sK1 ) @ sK2 @ X0 ) @ sK0 ) ) ),
inference(duplicate_literal_removal,[],[f722]) ).
thf(f727,plain,
! [X0: $i] :
( ( $false
= ( in @ ( setminus @ sK0 @ sK1 ) @ ( powerset @ X0 ) ) )
| ( $false
= ( in @ sK2 @ ( powerset @ X0 ) ) )
| ( $true
= ( subset @ sK2 @ ( setminus @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ ( sK3 @ ( setminus @ sK0 @ sK1 ) @ sK2 @ X0 ) @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f726]) ).
thf(f741,plain,
! [X0: $i] :
( ( $false
= ( in @ ( sK3 @ ( setminus @ sK0 @ sK1 ) @ sK2 @ X0 ) @ sK0 ) )
| ( $false
= ( in @ sK2 @ ( powerset @ X0 ) ) )
| ( $false
= ( in @ ( setminus @ sK0 @ sK1 ) @ ( powerset @ X0 ) ) ) ),
inference(forward_subsumption_resolution,[],[f727,f26]) ).
thf(f766,plain,
( ( $true = $false )
| ( $false
= ( in @ ( setminus @ sK0 @ sK1 ) @ ( powerset @ sK0 ) ) )
| ( ( in @ sK2 @ ( powerset @ sK0 ) )
= $false )
| ( $true
= ( subset @ sK2 @ ( setminus @ sK0 @ sK1 ) ) )
| ( ( in @ sK2 @ ( powerset @ sK0 ) )
= $false )
| ( $false
= ( in @ ( setminus @ sK0 @ sK1 ) @ ( powerset @ sK0 ) ) ) ),
inference(constrained_superposition,[],[f57,f741]) ).
thf(f767,plain,
( ( $true = $false )
| ( $false
= ( in @ ( setminus @ sK0 @ sK1 ) @ ( powerset @ sK0 ) ) )
| ( ( in @ sK2 @ ( powerset @ sK0 ) )
= $false )
| ( $true
= ( subset @ sK2 @ ( setminus @ sK0 @ sK1 ) ) ) ),
inference(duplicate_literal_removal,[],[f766]) ).
thf(f768,plain,
( ( $false
= ( in @ ( setminus @ sK0 @ sK1 ) @ ( powerset @ sK0 ) ) )
| ( ( in @ sK2 @ ( powerset @ sK0 ) )
= $false )
| ( $true
= ( subset @ sK2 @ ( setminus @ sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f767]) ).
thf(f772,plain,
( ( $false
= ( in @ ( setminus @ sK0 @ sK1 ) @ ( powerset @ sK0 ) ) )
| ( ( in @ sK2 @ ( powerset @ sK0 ) )
= $false ) ),
inference(forward_subsumption_resolution,[],[f768,f26]) ).
thf(f774,plain,
( ( $true = $false )
| ( $false
= ( in @ ( setminus @ sK0 @ sK1 ) @ ( powerset @ sK0 ) ) ) ),
inference(forward_demodulation,[],[f772,f24]) ).
thf(f775,plain,
( $false
= ( in @ ( setminus @ sK0 @ sK1 ) @ ( powerset @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f774]) ).
thf(f780,plain,
( ( $true = $false )
| ( ( in @ sK1 @ ( powerset @ sK0 ) )
= $false ) ),
inference(constrained_superposition,[],[f64,f775]) ).
thf(f781,plain,
( ( in @ sK1 @ ( powerset @ sK0 ) )
= $false ),
inference(trivial_inequality_removal,[],[f780]) ).
thf(f786,plain,
$true = $false,
inference(constrained_superposition,[],[f23,f781]) ).
thf(f787,plain,
$false,
inference(trivial_inequality_removal,[],[f786]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU737^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n006.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 14:18:40 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 1.10/0.43 % (791120)Will run a generic schedule for satisfiability detection.
% 1.10/0.43 % (791129)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=601313480:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.10/0.43 % (791129)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.10/0.43 % (791126)% WARNING: option uhcvi not known.
% 1.10/0.43 % (791125)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3441359693_2999 on theBenchmark for (2999ds/0Mi)
% 1.10/0.43 % (791126)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4106777908:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.10/0.43 % (791128)dis+10_1_sil=32000:sp=arity:random_seed=2151950529:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.10/0.43 % (791126)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.10/0.43 % Exception at run slice level
% 1.10/0.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.10/0.43 % (791126)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.10/0.43 % (791131)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3470364883:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.10/0.43 % (791127)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3828914733:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.10/0.43 % (791130)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3615688324:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.10/0.43 % (791129)Instruction limit reached!
% 1.10/0.43 % (791129)------------------------------
% 1.10/0.43 % (791129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.43 % (791129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.43 % (791129)CaDiCaL version: 2.1.3
% 1.10/0.43 % (791129)Termination reason: Instruction limit
% 1.10/0.43 % (791129)Termination phase: Saturation
% 1.10/0.43 % (791129)Time elapsed: 0.029 s
% 1.10/0.43 % (791129)Peak memory usage: 12 MB
% 1.10/0.43 % (791129)Instructions burned: 118 (million)
% 1.10/0.43 % (791136)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4194443845:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.10/0.43 % Exception at run slice level
% 1.10/0.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.10/0.43 % (791140)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2954805905:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.10/0.43 % (791128)Instruction limit reached!
% 1.10/0.43 % (791128)------------------------------
% 1.10/0.43 % (791128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.43 % (791128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.43 % (791128)CaDiCaL version: 2.1.3
% 1.10/0.43 % (791128)Termination reason: Instruction limit
% 1.10/0.43 % (791128)Termination phase: Saturation
% 1.10/0.43 % (791128)Time elapsed: 0.047 s
% 1.10/0.43 % (791128)Peak memory usage: 12 MB
% 1.10/0.43 % (791128)Instructions burned: 103 (million)
% 1.10/0.43 % (791142)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=3632993277:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.10/0.43 % (791142)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.10/0.43 % (791142)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.10/0.43 % (791140)Instruction limit reached!
% 1.10/0.43 % (791140)------------------------------
% 1.10/0.43 % (791140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.43 % (791140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.43 % (791140)CaDiCaL version: 2.1.3
% 1.10/0.43 % (791140)Termination reason: Instruction limit
% 1.10/0.43 % (791140)Termination phase: Saturation
% 1.10/0.43 % (791140)Time elapsed: 0.032 s
% 1.10/0.43 % (791140)Peak memory usage: 12 MB
% 1.10/0.43 % (791140)Instructions burned: 133 (million)
% 1.10/0.43 % (791144)ott-21_1_sil=16000:fs=off:random_seed=1910354221:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.10/0.43 % (791146)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=972442892:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.10/0.43 % (791131)Instruction limit reached!
% 1.10/0.43 % (791131)------------------------------
% 1.10/0.43 % (791131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.43 % (791131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.43 % (791131)CaDiCaL version: 2.1.3
% 1.10/0.43 % (791131)Termination reason: Instruction limit
% 1.10/0.43 % (791131)Termination phase: Saturation
% 1.10/0.43 % (791131)Time elapsed: 0.079 s
% 1.10/0.43 % (791131)Peak memory usage: 12 MB
% 1.10/0.43 % (791131)Instructions burned: 159 (million)
% 1.10/0.43 % (791130)Instruction limit reached!
% 1.10/0.43 % (791130)------------------------------
% 1.10/0.43 % (791130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.43 % (791130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.43 % (791130)CaDiCaL version: 2.1.3
% 1.10/0.43 % (791130)Termination reason: Instruction limit
% 1.10/0.43 % (791130)Termination phase: Saturation
% 1.10/0.43 % (791130)Time elapsed: 0.078 s
% 1.10/0.43 % (791130)Peak memory usage: 12 MB
% 1.10/0.43 % (791130)Instructions burned: 131 (million)
% 1.10/0.43 % (791149)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=145185234:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.10/0.43 % Exception at run slice level
% 1.10/0.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.10/0.43 % (791150)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=863162030:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.10/0.43 % (791152)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1692962813:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.10/0.43 % Exception at run slice level
% 1.10/0.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.10/0.43 % (791155)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=1139474882: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)
% 1.10/0.43 % (791155)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.10/0.43 % (791142) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-791120-791142"...
% 1.10/0.43 % (791144)Instruction limit reached!
% 1.10/0.43 % (791144)------------------------------
% 1.10/0.43 % (791144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.43 % (791144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.43 % (791144)CaDiCaL version: 2.1.3
% 1.10/0.43 % (791144)Termination reason: Instruction limit
% 1.10/0.43 % (791144)Termination phase: Saturation
% 1.10/0.43 % (791144)Time elapsed: 0.082 s
% 1.10/0.43 % (791144)Peak memory usage: 12 MB
% 1.10/0.43 % (791144)Instructions burned: 182 (million)
% 1.10/0.43 % (791142)...printing done.
% 1.10/0.43 % (791142)Refutation found. Thanks to Tanya!
% 1.10/0.43 % SZS status Theorem for theBenchmark
% 1.10/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 1.10/0.43 % (791142)------------------------------
% 1.10/0.43 % (791142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.43 % (791142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.43 % (791142)CaDiCaL version: 2.1.3
% 1.10/0.43 % (791142)Termination reason: Refutation
% 1.10/0.43 % (791142)Time elapsed: 0.103 s
% 1.10/0.43 % (791142)Peak memory usage: 14 MB
% 1.10/0.43 % (791142)Instructions burned: 170 (million)
% 1.10/0.43 % (791120)Success in time 0.194 s
% 1.10/0.43 % Vampire exiting
%------------------------------------------------------------------------------