%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU557^2 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 08:32:26 AM UTC 2026
% Result : Theorem 8.73s 1.63s
% Output : Refutation 8.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 10
% Syntax : Number of formulae : 130 ( 43 unt; 0 typ; 7 def)
% Number of atoms : 765 ( 257 equ; 0 cnn)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 828 ( 79 ~; 144 |; 34 &; 421 @)
% ( 10 <=>; 90 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 46 ( 46 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 33 usr; 16 con; 0-4 aty)
% ( 40 !!; 10 ??; 0 @@+; 0 @@-)
% Number of variables : 257 ( 4 sgn 129 !; 6 ?; 257 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
exu: ( $i > $o ) > $o ).
thf(func_def_1,type,
exuEu: $o ).
thf(func_def_2,type,
descr: ( $i > $o ) > $i ).
thf(func_def_3,type,
descrp: $o ).
thf(func_def_5,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_6,type,
vAND: $o > $o > $o ).
thf(func_def_7,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_10,type,
vIMP: $o > $o > $o ).
thf(func_def_11,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_13,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_16,type,
sK0: $i > $o ).
thf(func_def_17,type,
sK1: $i > $o ).
thf(func_def_18,type,
vNOT: $o > $o ).
thf(func_def_21,type,
sK4: ( $i > $o ) > $i > $i ).
thf(func_def_22,type,
sK5: ( $i > $o ) > $i > $i ).
thf(func_def_24,type,
sK7: ( $i > $o ) > $i > $i ).
thf(func_def_25,type,
sK8: ( $i > $o ) > $i > $i ).
thf(func_def_26,type,
sK9: ( $i > $o ) > $i ).
thf(func_def_27,type,
sK10: ( $i > $o ) > $i ).
thf(f1,axiom,
( exu
= ( ^ [X0: $i > $o] :
? [X1: $i] :
( ! [X2: $i] :
( ( X0 @ X2 )
=> ( X1 = X2 ) )
& ( X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exu_def) ).
thf(f2,axiom,
( exuEu
= ( ! [X0: $i > $o] :
( ( exu
@ ^ [X1: $i] : ( X0 @ X1 ) )
=> ! [X1: $i,X2: $i] :
( ( X0 @ X1 )
=> ( ( X0 @ X2 )
=> ( X1 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exuEu_def) ).
thf(f4,conjecture,
( descrp
=> ( exuEu
=> ! [X0: $i > $o,X1: $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( X0 @ X2 )
<=> ( X1 @ X3 ) ) )
=> ( ( exu
@ ^ [X2: $i] : ( X0 @ X2 ) )
=> ( ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) )
=> ( ( descr
@ ^ [X2: $i] : ( X0 @ X2 ) )
= ( descr
@ ^ [X2: $i] : ( X1 @ X2 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',descr__Cong) ).
thf(f5,negated_conjecture,
~ ( descrp
=> ( exuEu
=> ! [X0: $i > $o,X1: $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( X0 @ X2 )
<=> ( X1 @ X3 ) ) )
=> ( ( exu
@ ^ [X2: $i] : ( X0 @ X2 ) )
=> ( ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) )
=> ( ( descr
@ ^ [X2: $i] : ( X0 @ X2 ) )
= ( descr
@ ^ [X2: $i] : ( X1 @ X2 ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f6,plain,
( exu
= ( ^ [X0: $i > $o] :
? [X1: $i] :
( ! [X2: $i] :
( ( X0 @ X2 )
=> ( X1 = X2 ) )
& ( X0 @ X1 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f7,plain,
( exu
= ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
( exuEu
= ( ! [X0: $i > $o] :
( ( exu
@ ^ [X1: $i] : ( X0 @ X1 ) )
=> ! [X2: $i,X3: $i] :
( ( X0 @ X2 )
=> ( ( X0 @ X3 )
=> ( X2 = X3 ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f9,plain,
( exuEu
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( exu
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( ( Y0 @ Y1 )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f12,plain,
~ ( descrp
=> ( exuEu
=> ! [X0: $i > $o,X1: $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( X0 @ X2 )
<=> ( X1 @ X3 ) ) )
=> ( ( exu
@ ^ [X4: $i] : ( X0 @ X4 ) )
=> ( ( exu
@ ^ [X5: $i] : ( X1 @ X5 ) )
=> ( ( descr
@ ^ [X6: $i] : ( X0 @ X6 ) )
= ( descr
@ ^ [X7: $i] : ( X1 @ X7 ) ) ) ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f13,plain,
~ ( ( descrp = $true )
=> ( ( exuEu = $true )
=> ! [X0: $i > $o,X1: $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( X0 @ X2 )
= ( X1 @ X3 ) ) )
=> ( ( $true
= ( exu
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) )
=> ( ( $true
= ( exu
@ ^ [Y0: $i] : ( X1 @ Y0 ) ) )
=> ( ( descr
@ ^ [Y0: $i] : ( X0 @ Y0 ) )
= ( descr
@ ^ [Y0: $i] : ( X1 @ Y0 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
( ? [X0: $i > $o,X1: $i > $o] :
( ( ( descr
@ ^ [Y0: $i] : ( X0 @ Y0 ) )
!= ( descr
@ ^ [Y0: $i] : ( X1 @ Y0 ) ) )
& ( $true
= ( exu
@ ^ [Y0: $i] : ( X1 @ Y0 ) ) )
& ( $true
= ( exu
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) )
& ! [X2: $i,X3: $i] :
( ( ( X0 @ X2 )
= ( X1 @ X3 ) )
| ( X2 != X3 ) ) )
& ( exuEu = $true )
& ( descrp = $true ) ),
inference(ennf_transformation,[],[f13]) ).
thf(f15,plain,
( ? [X0: $i > $o,X1: $i > $o] :
( ( ( descr
@ ^ [Y0: $i] : ( X0 @ Y0 ) )
!= ( descr
@ ^ [Y0: $i] : ( X1 @ Y0 ) ) )
& ( $true
= ( exu
@ ^ [Y0: $i] : ( X1 @ Y0 ) ) )
& ( $true
= ( exu
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) )
& ! [X2: $i,X3: $i] :
( ( ( X0 @ X2 )
= ( X1 @ X3 ) )
| ( X2 != X3 ) ) )
& ( exuEu = $true )
& ( descrp = $true ) ),
inference(flattening,[],[f14]) ).
thf(f16,plain,
( ( ( descr
@ ^ [Y0: $i] : ( sK0 @ Y0 ) )
!= ( descr
@ ^ [Y0: $i] : ( sK1 @ Y0 ) ) )
& ( $true
= ( exu
@ ^ [Y0: $i] : ( sK1 @ Y0 ) ) )
& ( $true
= ( exu
@ ^ [Y0: $i] : ( sK0 @ Y0 ) ) )
& ! [X2: $i,X3: $i] :
( ( ( sK0 @ X2 )
= ( sK1 @ X3 ) )
| ( X2 != X3 ) )
& ( exuEu = $true )
& ( descrp = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f15]) ).
thf(f17,plain,
( exu
= ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f18,plain,
( exuEu
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( exu
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( ( Y0 @ Y1 )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f21,plain,
exuEu = $true,
inference(cnf_transformation,[],[f16]) ).
thf(f22,plain,
! [X2: $i,X3: $i] :
( ( ( sK0 @ X2 )
= ( sK1 @ X3 ) )
| ( X2 != X3 ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f23,plain,
( $true
= ( exu
@ ^ [Y0: $i] : ( sK0 @ Y0 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f24,plain,
( $true
= ( exu
@ ^ [Y0: $i] : ( sK1 @ Y0 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f25,plain,
( ( descr
@ ^ [Y0: $i] : ( sK0 @ Y0 ) )
!= ( descr
@ ^ [Y0: $i] : ( sK1 @ Y0 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f28,plain,
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 = Y3 ) ) ) ) )
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( ( Y0 @ Y1 )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f18,f21,f17]) ).
thf(f30,plain,
( $true
= ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) )
@ ^ [Y0: $i] : ( sK1 @ Y0 ) ) ),
inference(definition_unfolding,[],[f24,f17]) ).
thf(f31,plain,
( $true
= ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) )
@ ^ [Y0: $i] : ( sK0 @ Y0 ) ) ),
inference(definition_unfolding,[],[f23,f17]) ).
thf(f32,plain,
! [X3: $i] :
( ( sK1 @ X3 )
= ( sK0 @ X3 ) ),
inference(equality_resolution,[],[f22]) ).
thf(f33,plain,
! [X3: $i] :
( ( $true
= ( sK1 @ X3 ) )
| ( $false
= ( sK0 @ X3 ) ) ),
inference(iff_proxy_clausification,[],[f32]) ).
thf(f34,plain,
! [X3: $i] :
( ( ( sK1 @ X3 )
= $false )
| ( $true
= ( sK0 @ X3 ) ) ),
inference(iff_proxy_clausification,[],[f32]) ).
thf(f35,plain,
( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f31]) ).
thf(f36,plain,
( $true
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
=> ( Y0 = Y1 ) ) ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f35]) ).
thf(f37,plain,
( $true
= ( ( sK0 @ sK2 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
=> ( sK2 = Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f36]) ).
thf(f39,plain,
( $true
= ( sK0 @ sK2 ) ),
inference(and_proxy_clausification,[],[f37]) ).
thf(f44,plain,
( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f30]) ).
thf(f45,plain,
( $true
= ( ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
=> ( Y0 = Y1 ) ) ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f44]) ).
thf(f46,plain,
( $true
= ( ( sK1 @ sK3 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
=> ( sK3 = Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f45]) ).
thf(f47,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
=> ( sK3 = Y0 ) ) ) ),
inference(and_proxy_clausification,[],[f46]) ).
thf(f48,plain,
( $true
= ( sK1 @ sK3 ) ),
inference(and_proxy_clausification,[],[f46]) ).
thf(f49,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( sK1 @ Y0 )
=> ( sK3 = Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f47]) ).
thf(f50,plain,
! [X1: $i] :
( $true
= ( ( sK1 @ X1 )
=> ( sK3 = X1 ) ) ),
inference(beta-eta_normalization,[],[f49]) ).
thf(f51,plain,
! [X1: $i] :
( ( $false
= ( sK1 @ X1 ) )
| ( $true
= ( sK3 = X1 ) ) ),
inference(imp_proxy_clausification,[],[f50]) ).
thf(f52,plain,
! [X1: $i] :
( ( $false
= ( sK1 @ X1 ) )
| ( sK3 = X1 ) ),
inference(equality_proxy_clausification,[],[f51]) ).
thf(f53,plain,
( ( descr @ sK0 )
!= ( descr @ sK1 ) ),
inference(beta-eta_normalization,[],[f25]) ).
thf(f65,plain,
! [X1: $i > $o] :
( $true
= ( ^ [Y0: $i > $o] :
( ( ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 = Y3 ) ) ) ) )
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( ( Y0 @ Y1 )
=> ( Y2 = Y1 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f28]) ).
thf(f66,plain,
! [X1: $i > $o] :
( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 )
=> ( Y0 = Y1 ) ) ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 )
=> ( ( X1 @ Y0 )
=> ( Y1 = Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f65]) ).
thf(f67,plain,
! [X1: $i > $o] :
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 )
=> ( ( X1 @ Y0 )
=> ( Y1 = Y0 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f66]) ).
thf(f68,plain,
! [X2: $i,X1: $i > $o] :
( ( $false
= ( ^ [Y0: $i] :
( ( X1 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 )
=> ( Y0 = Y1 ) ) ) )
@ X2 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 )
=> ( ( X1 @ Y0 )
=> ( Y1 = Y0 ) ) ) ) ) ) ),
inference(pi_proxy_clausification,[],[f67]) ).
thf(f69,plain,
! [X2: $i,X3: $i,X1: $i > $o] :
( ( $false
= ( ^ [Y0: $i] :
( ( X1 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 )
=> ( Y0 = Y1 ) ) ) )
@ X2 ) )
| ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 )
=> ( ( X1 @ Y0 )
=> ( Y1 = Y0 ) ) ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f68]) ).
thf(f70,plain,
! [X2: $i,X3: $i,X1: $i > $o] :
( ( $false
= ( ( X1 @ X2 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X2 = Y0 ) ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( ( X1 @ X3 )
=> ( Y0 = X3 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f69]) ).
thf(f71,plain,
! [X2: $i,X3: $i,X1: $i > $o] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X2 = Y0 ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( ( X1 @ X3 )
=> ( Y0 = X3 ) ) ) ) )
| ( ( X1 @ X2 )
= $false ) ),
inference(and_proxy_clausification,[],[f70]) ).
thf(f72,plain,
! [X2: $i,X3: $i,X1: $i > $o] :
( ( $false
= ( ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X2 = Y0 ) )
@ ( sK5 @ X1 @ X2 ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( ( X1 @ X3 )
=> ( Y0 = X3 ) ) ) ) )
| ( ( X1 @ X2 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f71]) ).
thf(f73,plain,
! [X2: $i,X3: $i,X1: $i > $o,X4: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X2 = Y0 ) )
@ ( sK5 @ X1 @ X2 ) ) )
| ( $true
= ( ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( ( X1 @ X3 )
=> ( Y0 = X3 ) ) )
@ X4 ) )
| ( ( X1 @ X2 )
= $false ) ),
inference(pi_proxy_clausification,[],[f72]) ).
thf(f74,plain,
! [X2: $i,X3: $i,X1: $i > $o,X4: $i] :
( ( $false
= ( ( X1 @ ( sK5 @ X1 @ X2 ) )
=> ( X2
= ( sK5 @ X1 @ X2 ) ) ) )
| ( $true
= ( ( X1 @ X4 )
=> ( ( X1 @ X3 )
=> ( X4 = X3 ) ) ) )
| ( ( X1 @ X2 )
= $false ) ),
inference(beta-eta_normalization,[],[f73]) ).
thf(f76,plain,
! [X2: $i,X3: $i,X1: $i > $o,X4: $i] :
( ( $true
= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( $true
= ( ( X1 @ X4 )
=> ( ( X1 @ X3 )
=> ( X4 = X3 ) ) ) )
| ( ( X1 @ X2 )
= $false ) ),
inference(imp_proxy_clausification,[],[f74]) ).
thf(f77,plain,
! [X2: $i,X3: $i,X1: $i > $o,X4: $i] :
( ( $true
= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( $false
= ( X1 @ X4 ) )
| ( ( X1 @ X2 )
= $false )
| ( $true
= ( ( X1 @ X3 )
=> ( X4 = X3 ) ) ) ),
inference(imp_proxy_clausification,[],[f76]) ).
thf(f78,plain,
! [X2: $i,X3: $i,X1: $i > $o,X4: $i] :
( ( $true
= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( $false
= ( X1 @ X4 ) )
| ( ( X1 @ X2 )
= $false )
| ( ( X1 @ X3 )
= $false )
| ( $true
= ( X4 = X3 ) ) ),
inference(imp_proxy_clausification,[],[f77]) ).
thf(f79,plain,
! [X2: $i,X3: $i,X1: $i > $o,X4: $i] :
( ( $true
= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( $false
= ( X1 @ X4 ) )
| ( ( X1 @ X3 )
= $false )
| ( X3 = X4 )
| ( ( X1 @ X2 )
= $false ) ),
inference(equality_proxy_clausification,[],[f78]) ).
thf(f96,plain,
! [X0: $i] :
( ( $true = $false )
| ( sK3 = X0 )
| ( $false
= ( sK0 @ X0 ) ) ),
inference(constrained_superposition,[],[f52,f33]) ).
thf(f97,plain,
! [X0: $i] :
( ( $false
= ( sK0 @ X0 ) )
| ( sK3 = X0 ) ),
inference(trivial_inequality_removal,[],[f96]) ).
thf(f101,plain,
( ( $true = $false )
| ( sK2 = sK3 ) ),
inference(constrained_superposition,[],[f39,f97]) ).
thf(f102,plain,
sK2 = sK3,
inference(trivial_inequality_removal,[],[f101]) ).
thf(f115,plain,
( $true
= ( sK1 @ sK2 ) ),
inference(constrained_superposition,[],[f48,f102]) ).
thf(f212,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i > $i,X4: $i] :
( ( $true = $false )
| ( $true
= ( sK0 @ X0 ) )
| ( $false
= ( ^ [Y0: $i] : ( sK1 @ ( X1 @ Y0 ) )
@ X3 ) )
| ( $false
= ( ^ [Y0: $i] : ( sK1 @ ( X1 @ Y0 ) )
@ X4 ) )
| ( X3 = X4 )
| ( $false
= ( ^ [Y0: $i] : ( sK1 @ ( X1 @ Y0 ) )
@ X2 ) )
| ( ( X1
@ ( sK5
@ ^ [Y0: $i] : ( sK1 @ ( X1 @ Y0 ) )
@ X2 ) )
!= X0 ) ),
inference(constrained_superposition,[],[f34,f79]) ).
thf(f329,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i > $i,X4: $i] :
( ( $true
= ( sK0 @ X0 ) )
| ( $false
= ( ^ [Y0: $i] : ( sK1 @ ( X1 @ Y0 ) )
@ X3 ) )
| ( $false
= ( ^ [Y0: $i] : ( sK1 @ ( X1 @ Y0 ) )
@ X4 ) )
| ( X3 = X4 )
| ( $false
= ( ^ [Y0: $i] : ( sK1 @ ( X1 @ Y0 ) )
@ X2 ) )
| ( ( X1
@ ( sK5
@ ^ [Y0: $i] : ( sK1 @ ( X1 @ Y0 ) )
@ X2 ) )
!= X0 ) ),
inference(trivial_inequality_removal,[],[f212]) ).
thf(f330,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i > $i,X4: $i] :
( ( $true
= ( sK0 @ X0 ) )
| ( $false
= ( sK1 @ ( X1 @ X3 ) ) )
| ( $false
= ( sK1 @ ( X1 @ X4 ) ) )
| ( X3 = X4 )
| ( $false
= ( sK1 @ ( X1 @ X2 ) ) )
| ( ( X1
@ ( sK5
@ ^ [Y0: $i] : ( sK1 @ ( X1 @ Y0 ) )
@ X2 ) )
!= X0 ) ),
inference(beta-eta_normalization,[],[f329]) ).
thf(f3569,definition,
( spl6_27
<=> ! [X4: $i,X3: $i] : ( X3 = X4 ) ),
introduced(definition,[new_symbols(definition,[spl6_27])],[avatar_definition]) ).
thf(f3570,plain,
( ! [X3: $i,X4: $i] : ( X3 = X4 )
| ~ spl6_27 ),
inference(avatar_component_clause,[],[f3569]) ).
thf(f3592,plain,
( ! [X0: $i] :
( ( descr @ sK0 )
!= X0 )
| ~ spl6_27 ),
inference(constrained_superposition,[],[f53,f3570]) ).
thf(f3690,plain,
( $false
| ~ spl6_27 ),
inference(forward_subsumption_resolution,[],[f3592,f3570]) ).
thf(f3691,plain,
~ spl6_27,
inference(avatar_contradiction_clause,[],[f3690]) ).
thf(f3845,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( sK1 @ sK2 ) )
| ( $true
= ( sK0 @ X0 ) )
| ( $false
= ( sK1
@ ( ^ [Y0: $i] : sK3
@ X1 ) ) )
| ( X1 = X3 )
| ( $false
= ( sK1
@ ( ^ [Y0: $i] : sK3
@ X2 ) ) )
| ( ( ^ [Y0: $i] : sK3
@ ( sK5
@ ^ [Y0: $i] :
( sK1
@ ( ^ [Y1: $i] : sK3
@ Y0 ) )
@ X2 ) )
!= X0 ) ),
inference(constrained_superposition,[],[f330,f102]) ).
thf(f4245,plain,
! [X3: $i,X0: $i,X1: $i] :
( ( $false
= ( sK1 @ sK2 ) )
| ( $true
= ( sK0 @ X0 ) )
| ( $false
= ( sK1 @ sK3 ) )
| ( X1 = X3 )
| ( $false
= ( sK1 @ sK3 ) )
| ( sK3 != X0 ) ),
inference(beta-eta_normalization,[],[f3845]) ).
thf(f4246,plain,
! [X3: $i,X0: $i,X1: $i] :
( ( $false
= ( sK1 @ sK2 ) )
| ( $true
= ( sK0 @ X0 ) )
| ( $false
= ( sK1 @ sK3 ) )
| ( X1 = X3 )
| ( sK3 != X0 ) ),
inference(duplicate_literal_removal,[],[f4245]) ).
thf(f4373,plain,
! [X3: $i,X0: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( sK0 @ X0 ) )
| ( $false
= ( sK1 @ sK3 ) )
| ( X1 = X3 )
| ( sK3 != X0 ) ),
inference(forward_demodulation,[],[f4246,f115]) ).
thf(f4374,plain,
! [X3: $i,X0: $i,X1: $i] :
( ( $true
= ( sK0 @ X0 ) )
| ( $false
= ( sK1 @ sK3 ) )
| ( X1 = X3 )
| ( sK3 != X0 ) ),
inference(trivial_inequality_removal,[],[f4373]) ).
thf(f4407,definition,
( spl6_36
<=> ! [X0: $i] :
( ( $true
= ( sK0 @ X0 ) )
| ( sK2 != X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_36])],[avatar_definition]) ).
thf(f4408,plain,
( ! [X0: $i] :
( ( $true
= ( sK0 @ X0 ) )
| ( sK2 != X0 ) )
| ~ spl6_36 ),
inference(avatar_component_clause,[],[f4407]) ).
thf(f4447,plain,
! [X3: $i,X0: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( sK0 @ X0 ) )
| ( X1 = X3 )
| ( sK3 != X0 ) ),
inference(forward_demodulation,[],[f4374,f48]) ).
thf(f4448,plain,
! [X3: $i,X0: $i,X1: $i] :
( ( $true
= ( sK0 @ X0 ) )
| ( X1 = X3 )
| ( sK3 != X0 ) ),
inference(trivial_inequality_removal,[],[f4447]) ).
thf(f4464,plain,
! [X3: $i,X0: $i,X1: $i] :
( ( sK2 != X0 )
| ( $true
= ( sK0 @ X0 ) )
| ( X1 = X3 ) ),
inference(forward_demodulation,[],[f4448,f102]) ).
thf(f4467,plain,
( spl6_27
| spl6_36 ),
inference(avatar_split_clause,[],[f4464,f4407,f3569]) ).
thf(f5808,definition,
( spl6_67
<=> ( sK0 = sK1 ) ),
introduced(definition,[new_symbols(definition,[spl6_67])],[avatar_definition]) ).
thf(f5809,plain,
( ( sK0 = sK1 )
| ~ spl6_67 ),
inference(avatar_component_clause,[],[f5808]) ).
thf(f5810,plain,
( ( sK0 != sK1 )
| spl6_67 ),
inference(avatar_component_clause,[],[f5808]) ).
thf(f5817,plain,
( ( ( descr @ sK0 )
!= ( descr @ sK0 ) )
| ~ spl6_67 ),
inference(constrained_superposition,[],[f53,f5809]) ).
thf(f5829,plain,
( $false
| ~ spl6_67 ),
inference(trivial_inequality_removal,[],[f5817]) ).
thf(f5830,plain,
~ spl6_67,
inference(avatar_contradiction_clause,[],[f5829]) ).
thf(f5883,plain,
( ( ( sK0 @ sK11 )
!= ( sK1 @ sK11 ) )
| spl6_67 ),
inference(negative_extensionality,[],[f5810]) ).
thf(f5884,plain,
( ( $true
= ( sK0 @ sK11 ) )
| ( $true
= ( sK1 @ sK11 ) )
| spl6_67 ),
inference(xor_proxy_clausification,[],[f5883]) ).
thf(f5885,plain,
( ( $false
= ( sK0 @ sK11 ) )
| ( $false
= ( sK1 @ sK11 ) )
| spl6_67 ),
inference(xor_proxy_clausification,[],[f5883]) ).
thf(f5887,definition,
( spl6_74
<=> ( $false
= ( sK1 @ sK11 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_74])],[avatar_definition]) ).
thf(f5888,plain,
( ( $false
!= ( sK1 @ sK11 ) )
| spl6_74 ),
inference(avatar_component_clause,[],[f5887]) ).
thf(f5889,plain,
( ( $false
= ( sK1 @ sK11 ) )
| ~ spl6_74 ),
inference(avatar_component_clause,[],[f5887]) ).
thf(f5891,definition,
( spl6_75
<=> ( $false
= ( sK0 @ sK11 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_75])],[avatar_definition]) ).
thf(f5893,plain,
( ( $false
= ( sK0 @ sK11 ) )
| ~ spl6_75 ),
inference(avatar_component_clause,[],[f5891]) ).
thf(f5894,plain,
( spl6_74
| spl6_75
| spl6_67 ),
inference(avatar_split_clause,[],[f5885,f5808,f5891,f5887]) ).
thf(f5896,definition,
( spl6_76
<=> ( $true
= ( sK1 @ sK11 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_76])],[avatar_definition]) ).
thf(f5898,plain,
( ( $true
= ( sK1 @ sK11 ) )
| ~ spl6_76 ),
inference(avatar_component_clause,[],[f5896]) ).
thf(f5900,definition,
( spl6_77
<=> ( $true
= ( sK0 @ sK11 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_77])],[avatar_definition]) ).
thf(f5902,plain,
( ( $true
= ( sK0 @ sK11 ) )
| ~ spl6_77 ),
inference(avatar_component_clause,[],[f5900]) ).
thf(f5903,plain,
( spl6_76
| spl6_77
| spl6_67 ),
inference(avatar_split_clause,[],[f5884,f5808,f5900,f5896]) ).
thf(f5934,plain,
( ( $true = $false )
| ( $false
= ( sK0 @ sK11 ) )
| ~ spl6_74 ),
inference(constrained_superposition,[],[f33,f5889]) ).
thf(f5978,plain,
( ( $false
= ( sK0 @ sK11 ) )
| ~ spl6_74 ),
inference(trivial_inequality_removal,[],[f5934]) ).
thf(f6009,plain,
( spl6_75
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f5978,f5887,f5891]) ).
thf(f6040,plain,
( ( $true = $false )
| ( sK2 != sK11 )
| ~ spl6_36
| ~ spl6_75 ),
inference(constrained_superposition,[],[f4408,f5893]) ).
thf(f6077,plain,
( ( sK2 != sK11 )
| ~ spl6_36
| ~ spl6_75 ),
inference(trivial_inequality_removal,[],[f6040]) ).
thf(f6184,plain,
( ( $true = $false )
| ~ spl6_74
| ~ spl6_76 ),
inference(forward_demodulation,[],[f5898,f5889]) ).
thf(f6185,plain,
( $false
| ~ spl6_74
| ~ spl6_76 ),
inference(trivial_inequality_removal,[],[f6184]) ).
thf(f6186,plain,
( ~ spl6_74
| ~ spl6_76 ),
inference(avatar_contradiction_clause,[],[f6185]) ).
thf(f6401,plain,
( ( $true = $false )
| ~ spl6_75
| ~ spl6_77 ),
inference(forward_demodulation,[],[f5902,f5893]) ).
thf(f6402,plain,
( $false
| ~ spl6_75
| ~ spl6_77 ),
inference(trivial_inequality_removal,[],[f6401]) ).
thf(f6403,plain,
( ~ spl6_75
| ~ spl6_77 ),
inference(avatar_contradiction_clause,[],[f6402]) ).
thf(f6659,plain,
( ( $false != $false )
| ( sK3 = sK11 )
| spl6_74 ),
inference(constrained_superposition,[],[f5888,f52]) ).
thf(f6755,plain,
( ( sK3 = sK11 )
| spl6_74 ),
inference(trivial_inequality_removal,[],[f6659]) ).
thf(f6792,plain,
( ( sK2 = sK11 )
| spl6_74 ),
inference(forward_demodulation,[],[f6755,f102]) ).
thf(f6802,plain,
( $false
| ~ spl6_36
| spl6_74
| ~ spl6_75 ),
inference(forward_subsumption_resolution,[],[f6792,f6077]) ).
thf(f6803,plain,
( ~ spl6_36
| spl6_74
| ~ spl6_75 ),
inference(avatar_contradiction_clause,[],[f6802]) ).
cnf(s69,plain,
~ spl6_27,
inference(sat_conversion,[],[f3691]) ).
cnf(s121,plain,
( spl6_27
| spl6_36 ),
inference(sat_conversion,[],[f4467]) ).
cnf(s178,plain,
~ spl6_67,
inference(sat_conversion,[],[f5830]) ).
cnf(s189,plain,
( spl6_67
| spl6_74
| spl6_75 ),
inference(sat_conversion,[],[f5894]) ).
cnf(s190,plain,
( spl6_67
| spl6_76
| spl6_77 ),
inference(sat_conversion,[],[f5903]) ).
cnf(s198,plain,
( ~ spl6_74
| spl6_75 ),
inference(sat_conversion,[],[f6009]) ).
cnf(s212,plain,
( ~ spl6_74
| ~ spl6_76 ),
inference(sat_conversion,[],[f6186]) ).
cnf(s217,plain,
( ~ spl6_75
| ~ spl6_77 ),
inference(sat_conversion,[],[f6403]) ).
cnf(s334,plain,
( ~ spl6_36
| spl6_74
| ~ spl6_75 ),
inference(sat_conversion,[],[f6803]) ).
cnf(s335,plain,
spl6_36,
inference(rat,[],[s121,s69]) ).
cnf(s347,plain,
spl6_74,
inference(rat,[],[s189,s334,s178,s335]) ).
cnf(s348,plain,
~ spl6_76,
inference(rat,[],[s212,s347]) ).
cnf(s349,plain,
spl6_75,
inference(rat,[],[s198,s347]) ).
cnf(s350,plain,
spl6_77,
inference(rat,[],[s190,s178,s348]) ).
cnf(s351,plain,
$false,
inference(rat,[],[s217,s350,s349]) ).
thf(f6804,plain,
$false,
inference(avatar_sat_refutation,[],[s351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU557^2 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.16 % Computer : n018.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Sep 29 13:52:11 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 Running first-order model finding
% 0.10/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.36/1.03 % (103055)Will run a generic schedule for satisfiability detection.
% 4.36/1.03 % (103062)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=297785809:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.36/1.03 % (103061)% WARNING: option uhcvi not known.
% 4.36/1.03 % (103063)dis+10_1_sil=32000:sp=arity:random_seed=2795371104:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.36/1.03 % (103064)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2814094871:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.36/1.03 % (103061)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=224656367:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.36/1.03 % (103065)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=825884587:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.36/1.03 % (103066)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=140045295:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.36/1.03 % (103064)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.36/1.03 % (103061)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.36/1.03 % (103061)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.36/1.03 % (103060)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1792558204_2999 on theBenchmark for (2999ds/0Mi)
% 4.36/1.03 % Exception at run slice level
% 4.36/1.03 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.36/1.03 % (103074)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1747485178:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.36/1.03 % Exception at run slice level
% 4.36/1.03 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.36/1.03 % (103063)Instruction limit reached!
% 4.36/1.03 % (103063)------------------------------
% 4.36/1.03 % (103063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.36/1.03 % (103063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.03 % (103063)CaDiCaL version: 2.1.3
% 4.36/1.03 % (103063)Termination reason: Instruction limit
% 4.36/1.03 % (103063)Termination phase: Saturation
% 4.36/1.03 % (103063)Time elapsed: 0.051 s
% 4.36/1.03 % (103063)Peak memory usage: 12 MB
% 4.36/1.03 % (103063)Instructions burned: 104 (million)
% 4.36/1.03 % (103076)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1482011165:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.36/1.03 % (103064)Instruction limit reached!
% 4.36/1.03 % (103064)------------------------------
% 4.36/1.03 % (103064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.36/1.03 % (103064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.03 % (103064)CaDiCaL version: 2.1.3
% 4.36/1.03 % (103064)Termination reason: Instruction limit
% 4.36/1.03 % (103064)Termination phase: Saturation
% 4.36/1.03 % (103064)Time elapsed: 0.066 s
% 4.36/1.03 % (103064)Peak memory usage: 12 MB
% 4.36/1.03 % (103064)Instructions burned: 117 (million)
% 4.36/1.03 % (103077)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=690010146:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.36/1.03 % (103077)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.36/1.03 % (103077)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.36/1.03 % (103065)Instruction limit reached!
% 4.36/1.03 % (103065)------------------------------
% 4.36/1.03 % (103065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.36/1.03 % (103065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.03 % (103065)CaDiCaL version: 2.1.3
% 4.36/1.03 % (103065)Termination reason: Instruction limit
% 4.36/1.03 % (103065)Termination phase: Saturation
% 4.36/1.03 % (103065)Time elapsed: 0.076 s
% 4.36/1.03 % (103065)Peak memory usage: 12 MB
% 4.36/1.03 % (103065)Instructions burned: 131 (million)
% 4.36/1.03 % (103066)Instruction limit reached!
% 4.36/1.03 % (103066)------------------------------
% 4.36/1.03 % (103066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.36/1.03 % (103066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/1.63 % (103066)CaDiCaL version: 2.1.3
% 8.73/1.63 % (103066)Termination reason: Instruction limit
% 8.73/1.63 % (103066)Termination phase: Saturation
% 8.73/1.63 % (103066)Time elapsed: 0.080 s
% 8.73/1.63 % (103066)Peak memory usage: 12 MB
% 8.73/1.63 % (103066)Instructions burned: 160 (million)
% 8.73/1.63 % (103079)ott-21_1_sil=16000:fs=off:random_seed=3585752409:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 8.73/1.63 % (103081)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1167628256:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.73/1.63 % (103082)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2029141372:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 8.73/1.63 % Exception at run slice level
% 8.73/1.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.73/1.63 % (103086)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2345619884:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 8.73/1.63 % (103076)Instruction limit reached!
% 8.73/1.63 % (103076)------------------------------
% 8.73/1.63 % (103076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.73/1.63 % (103076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/1.63 % (103076)CaDiCaL version: 2.1.3
% 8.73/1.63 % (103076)Termination reason: Instruction limit
% 8.73/1.63 % (103076)Termination phase: Saturation
% 8.73/1.63 % (103076)Time elapsed: 0.066 s
% 8.73/1.63 % (103076)Peak memory usage: 13 MB
% 8.73/1.63 % (103076)Instructions burned: 131 (million)
% 8.73/1.63 % (103088)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1829567039:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 8.73/1.63 % Exception at run slice level
% 8.73/1.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.73/1.63 % (103090)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=1501137013: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)
% 8.73/1.63 % (103090)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.73/1.63 % (103079)Instruction limit reached!
% 8.73/1.63 % (103079)------------------------------
% 8.73/1.63 % (103079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.73/1.63 % (103079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/1.63 % (103079)CaDiCaL version: 2.1.3
% 8.73/1.63 % (103079)Termination reason: Instruction limit
% 8.73/1.63 % (103079)Termination phase: Saturation
% 8.73/1.63 % (103079)Time elapsed: 0.125 s
% 8.73/1.63 % (103079)Peak memory usage: 12 MB
% 8.73/1.63 % (103079)Instructions burned: 180 (million)
% 8.73/1.63 % (103092)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2848199422:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 8.73/1.63 % (103092)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.73/1.63 % (103077)Instruction limit reached!
% 8.73/1.63 % (103077)------------------------------
% 8.73/1.63 % (103077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.73/1.63 % (103077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/1.63 % (103077)CaDiCaL version: 2.1.3
% 8.73/1.63 % (103077)Termination reason: Instruction limit
% 8.73/1.63 % (103077)Termination phase: Saturation
% 8.73/1.63 % (103077)Time elapsed: 0.322 s
% 8.73/1.63 % (103077)Peak memory usage: 14 MB
% 8.73/1.63 % (103077)Instructions burned: 685 (million)
% 8.73/1.63 % (103095)fmb+10_1_sil=64000:random_seed=2189574030:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 8.73/1.63 % (103095)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 8.73/1.63 % Exception at run slice level
% 8.73/1.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.73/1.63 % (103097)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3276375191:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 8.73/1.63 % Exception at run slice level
% 8.73/1.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.73/1.63 % (103081)Instruction limit reached!
% 8.73/1.63 % (103081)------------------------------
% 8.73/1.63 % (103081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.73/1.63 % (103081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/1.63 % (103081)CaDiCaL version: 2.1.3
% 8.73/1.63 % (103081)Termination reason: Instruction limit
% 8.73/1.63 % (103081)Termination phase: Saturation
% 8.73/1.63 % (103081)Time elapsed: 0.358 s
% 8.73/1.63 % (103081)Peak memory usage: 13 MB
% 8.73/1.63 % (103081)Instructions burned: 477 (million)
% 8.73/1.63 % (103099)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=337614878:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 8.73/1.63 % Exception at run slice level
% 8.73/1.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.73/1.63 % (103101)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1768207417:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 8.73/1.63 % (103101)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.73/1.63 % (103102)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3523460391:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 8.73/1.63 % (103102)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 8.73/1.63 % (103102)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.73/1.63 % (103090)Instruction limit reached!
% 8.73/1.63 % (103090)------------------------------
% 8.73/1.63 % (103090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.73/1.63 % (103090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/1.63 % (103090)CaDiCaL version: 2.1.3
% 8.73/1.63 % (103090)Termination reason: Instruction limit
% 8.73/1.63 % (103090)Termination phase: Saturation
% 8.73/1.63 % (103090)Time elapsed: 0.350 s
% 8.73/1.63 % (103090)Peak memory usage: 14 MB
% 8.73/1.63 % (103090)Instructions burned: 694 (million)
% 8.73/1.63 % (103105)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3335032978:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 8.73/1.63 % Exception at run slice level
% 8.73/1.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.73/1.63 % (103107)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3612841814:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 8.73/1.63 % Exception at run slice level
% 8.73/1.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.73/1.63 % (103109)ott-2_1_sil=16000:newcnf=on:random_seed=161136506:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 8.73/1.63 % (103109)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.73/1.63 % (103086)Instruction limit reached!
% 8.73/1.63 % (103086)------------------------------
% 8.73/1.63 % (103086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.73/1.63 % (103086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/1.63 % (103086)CaDiCaL version: 2.1.3
% 8.73/1.63 % (103086)Termination reason: Instruction limit
% 8.73/1.63 % (103086)Termination phase: Saturation
% 8.73/1.63 % (103086)Time elapsed: 0.563 s
% 8.73/1.63 % (103086)Peak memory usage: 15 MB
% 8.73/1.63 % (103086)Instructions burned: 1181 (million)
% 8.73/1.63 % (103111)ott+10_1_sil=32000:tgt=ground:random_seed=3672095449:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 8.73/1.63 % (103092)Instruction limit reached!
% 8.73/1.63 % (103092)------------------------------
% 8.73/1.63 % (103092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.73/1.63 % (103092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/1.63 % (103092)CaDiCaL version: 2.1.3
% 8.73/1.63 % (103092)Termination reason: Instruction limit
% 8.73/1.63 % (103092)Termination phase: Saturation
% 8.73/1.63 % (103092)Time elapsed: 0.496 s
% 8.73/1.63 % (103092)Peak memory usage: 15 MB
% 8.73/1.63 % (103092)Instructions burned: 881 (million)
% 8.73/1.63 % (103113)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4185607113:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 8.73/1.63 % Exception at run slice level
% 8.73/1.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.73/1.63 % (103115)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2616749069:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 8.73/1.63 % (103115)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.73/1.63 % (103109)Instruction limit reached!
% 8.73/1.63 % (103109)------------------------------
% 8.73/1.63 % (103109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.73/1.63 % (103109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/1.63 % (103109)CaDiCaL version: 2.1.3
% 8.73/1.63 % (103109)Termination reason: Instruction limit
% 8.73/1.63 % (103109)Termination phase: Saturation
% 8.73/1.63 % (103109)Time elapsed: 0.416 s
% 8.73/1.63 % (103109)Peak memory usage: 14 MB
% 8.73/1.63 % (103109)Instructions burned: 870 (million)
% 8.73/1.63 % (103117)dis+21_1_sil=32000:sas=cadical:random_seed=4286132097:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 8.73/1.63 % (103102)Instruction limit reached!
% 8.73/1.63 % (103102)------------------------------
% 8.73/1.63 % (103102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.73/1.63 % (103102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/1.63 % (103102)CaDiCaL version: 2.1.3
% 8.73/1.63 % (103102)Termination reason: Instruction limit
% 8.73/1.63 % (103102)Termination phase: Saturation
% 8.73/1.63 % (103102)Time elapsed: 0.799 s
% 8.73/1.63 % (103102)Peak memory usage: 18 MB
% 8.73/1.63 % (103102)Instructions burned: 1473 (million)
% 8.73/1.63 % (103120)ott+11_1_sil=16000:gs=on:random_seed=2942564168:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2986 on theBenchmark for (2986ds/2251Mi)
% 8.73/1.63 % (103120)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.73/1.63 % (103117) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-103055-103117"...
% 8.73/1.63 % (103117)...printing done.
% 8.73/1.63 % (103117)Refutation found. Thanks to Tanya!
% 8.73/1.63 % SZS status Theorem for theBenchmark
% 8.73/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 8.73/1.64 % (103117)------------------------------
% 8.73/1.64 % (103117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.73/1.64 % (103117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/1.64 % (103117)CaDiCaL version: 2.1.3
% 8.73/1.64 % (103117)Termination reason: Refutation
% 8.73/1.64 % (103117)Time elapsed: 0.372 s
% 8.73/1.64 % (103117)Peak memory usage: 15 MB
% 8.73/1.64 % (103117)Instructions burned: 782 (million)
% 8.73/1.64 % (103055)Success in time 1.43 s
% 8.73/1.64 % Vampire exiting
%------------------------------------------------------------------------------