%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV245^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 08:38:06 AM UTC 2026
% Result : Theorem 0.21s 0.34s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 3
% Syntax : Number of formulae : 69 ( 32 unt; 0 typ; 2 def)
% Number of atoms : 506 ( 74 equ; 0 cnn)
% Maximal formula atoms : 3 ( 7 avg)
% Number of connectives : 1139 ( 24 ~; 36 |; 53 &; 741 @)
% ( 2 <=>; 139 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 177 ( 177 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 20 usr; 8 con; 0-4 aty)
% ( 102 !!; 42 ??; 0 @@+; 0 @@-)
% Number of variables : 239 ( 0 sgn 48 !; 6 ?; 239 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
vNOT: $o > $o ).
thf(func_def_2,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
vIMP: $o > $o > $o ).
thf(func_def_4,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_5,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_8,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_10,type,
vAND: $o > $o > $o ).
thf(func_def_11,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_15,type,
sK0: ( $i > $o ) > $i > $o ).
thf(func_def_17,type,
sK2: $i > $o ).
thf(func_def_18,type,
sK3: ( $i > $o ) > $i ).
thf(f1,conjecture,
! [X0: ( $i > $o ) > $i > $o] :
( ! [X1: $i > $o,X2: $i > $o] :
( ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) )
=> ! [X3: $i] :
( ( X0 @ X1 @ X3 )
=> ( X0 @ X2 @ X3 ) ) )
=> ! [X1: $i] :
( ? [X4: $i > $o] :
( ( X4 @ X1 )
& ! [X3: $i] :
( ( X4 @ X3 )
=> ( X0 @ X4 @ X3 ) ) )
=> ( X0
@ ^ [X3: $i] :
? [X4: $i > $o] :
( ! [X5: $i] :
( ( X4 @ X5 )
=> ( X0 @ X4 @ X5 ) )
& ( X4 @ X3 ) )
@ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM2A_TWO_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: ( $i > $o ) > $i > $o] :
( ! [X1: $i > $o,X2: $i > $o] :
( ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) )
=> ! [X3: $i] :
( ( X0 @ X1 @ X3 )
=> ( X0 @ X2 @ X3 ) ) )
=> ! [X1: $i] :
( ? [X4: $i > $o] :
( ( X4 @ X1 )
& ! [X3: $i] :
( ( X4 @ X3 )
=> ( X0 @ X4 @ X3 ) ) )
=> ( X0
@ ^ [X3: $i] :
? [X4: $i > $o] :
( ! [X5: $i] :
( ( X4 @ X5 )
=> ( X0 @ X4 @ X5 ) )
& ( X4 @ X3 ) )
@ X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: ( $i > $o ) > $i > $o] :
( ! [X1: $i > $o,X2: $i > $o] :
( ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) )
=> ! [X4: $i] :
( ( X0 @ X1 @ X4 )
=> ( X0 @ X2 @ X4 ) ) )
=> ! [X5: $i] :
( ? [X6: $i > $o] :
( ( X6 @ X5 )
& ! [X7: $i] :
( ( X6 @ X7 )
=> ( X0 @ X6 @ X7 ) ) )
=> ( X0
@ ^ [X8: $i] :
? [X9: $i > $o] :
( ! [X10: $i] :
( ( X9 @ X10 )
=> ( X0 @ X9 @ X10 ) )
& ( X9 @ X8 ) )
@ X5 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
( ( ~ ( !! @ ( ( $i > $o ) > $i > $o )
@ ^ [Y0: ( $i > $o ) > $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
=> ( Y0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( Y3 @ Y2 )
& ( !! @ $i
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
@ Y1 ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ~ ( !! @ ( ( $i > $o ) > $i > $o )
@ ^ [Y0: ( $i > $o ) > $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
=> ( Y0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( Y3 @ Y2 )
& ( !! @ $i
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
@ Y1 ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f4]) ).
thf(f8,plain,
( $false
= ( !! @ ( ( $i > $o ) > $i > $o )
@ ^ [Y0: ( $i > $o ) > $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
=> ( Y0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( Y3 @ Y2 )
& ( !! @ $i
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
@ Y1 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f5]) ).
thf(f9,plain,
( $false
= ( ^ [Y0: ( $i > $o ) > $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
=> ( Y0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( Y3 @ Y2 )
& ( !! @ $i
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
@ Y1 ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f8]) ).
thf(f12,plain,
( ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( sK0 @ Y1 @ Y2 )
=> ( sK0 @ Y0 @ Y2 ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
=> ( sK0
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK0 @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f9]) ).
thf(f13,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
=> ( sK0
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK0 @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f12]) ).
thf(f14,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( sK0 @ Y1 @ Y2 )
=> ( sK0 @ Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(imp_proxy_clausification,[],[f12]) ).
thf(f15,plain,
! [X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( sK0 @ Y1 @ Y2 )
=> ( sK0 @ Y0 @ Y2 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f14]) ).
thf(f16,plain,
! [X1: $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( X1 @ Y1 ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y0 @ Y1 )
=> ( sK0 @ X1 @ Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f15]) ).
thf(f17,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( X1 @ Y1 ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y0 @ Y1 )
=> ( sK0 @ X1 @ Y1 ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f16]) ).
thf(f18,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( sK0 @ X2 @ Y0 )
=> ( sK0 @ X1 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f17]) ).
thf(f19,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK0 @ X2 @ Y0 )
=> ( sK0 @ X1 @ Y0 ) ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f18]) ).
thf(f20,plain,
( ( ^ [Y0: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
=> ( sK0
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK0 @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f13]) ).
thf(f21,plain,
( $false
= ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK0 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK1 ) ) )
=> ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK1 ) ) ),
inference(beta-eta_normalization,[],[f20]) ).
thf(f22,plain,
( ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK1 )
= $false ),
inference(imp_proxy_clausification,[],[f21]) ).
thf(f23,plain,
( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK0 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK1 ) ) )
= $true ),
inference(imp_proxy_clausification,[],[f21]) ).
thf(f24,plain,
( ( ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK0 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK1 ) )
@ sK2 )
= $true ),
inference(sigma_proxy_clausification,[],[f23]) ).
thf(f25,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2 @ Y0 )
=> ( sK0 @ sK2 @ Y0 ) ) )
& ( sK2 @ sK1 ) )
= $true ),
inference(beta-eta_normalization,[],[f24]) ).
thf(f26,plain,
( ( sK2 @ sK1 )
= $true ),
inference(and_proxy_clausification,[],[f25]) ).
thf(f27,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2 @ Y0 )
=> ( sK0 @ sK2 @ Y0 ) ) )
= $true ),
inference(and_proxy_clausification,[],[f25]) ).
thf(f30,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( sK2 @ Y0 )
=> ( sK0 @ sK2 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f27]) ).
thf(f31,plain,
! [X1: $i] :
( ( ( sK2 @ X1 )
=> ( sK0 @ sK2 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f30]) ).
thf(f32,plain,
! [X1: $i] :
( ( ( sK0 @ sK2 @ X1 )
= $true )
| ( ( sK2 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f31]) ).
thf(f33,plain,
( ( $true
=> ( sK0 @ sK2 @ sK1 ) )
= $true ),
inference(constrained_superposition,[],[f31,f26]) ).
thf(f34,plain,
( $true
= ( sK0 @ sK2 @ sK1 ) ),
inference(boolean_simplification,[],[f33]) ).
thf(f43,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) )
= $false )
| ( ( ^ [Y0: $i] :
( ( sK0 @ X2 @ Y0 )
=> ( sK0 @ X1 @ Y0 ) )
@ X3 )
= $true ) ),
inference(pi_proxy_clausification,[],[f19]) ).
thf(f44,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( ( sK0 @ X2 @ X3 )
=> ( sK0 @ X1 @ X3 ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f43]) ).
thf(f49,plain,
! [X0: $i > $o] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2 @ Y0 )
=> ( X0 @ Y0 ) ) ) )
| ( ( $true
=> ( sK0 @ X0 @ sK1 ) )
= $true ) ),
inference(constrained_superposition,[],[f44,f34]) ).
thf(f54,plain,
! [X0: $i > $o] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2 @ Y0 )
=> ( X0 @ Y0 ) ) ) )
| ( ( sK0 @ X0 @ sK1 )
= $true ) ),
inference(boolean_simplification,[],[f49]) ).
thf(f60,plain,
! [X0: $i > $o] :
( ( ( sK0 @ X0 @ sK1 )
= $true )
| ( ( ^ [Y0: $i] :
( ( sK2 @ Y0 )
=> ( X0 @ Y0 ) )
@ ( sK3 @ X0 ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f54]) ).
thf(f61,plain,
! [X0: $i > $o] :
( ( ( ( sK2 @ ( sK3 @ X0 ) )
=> ( X0 @ ( sK3 @ X0 ) ) )
= $false )
| ( ( sK0 @ X0 @ sK1 )
= $true ) ),
inference(beta-eta_normalization,[],[f60]) ).
thf(f62,plain,
! [X0: $i > $o] :
( ( ( sK0 @ X0 @ sK1 )
= $true )
| ( ( X0 @ ( sK3 @ X0 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f61]) ).
thf(f87,plain,
( ( ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK0 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK1 ) ) )
=> $true )
= $false )
| ( ( ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) ) ) )
= $false ) ),
inference(constrained_superposition,[],[f21,f62]) ).
thf(f91,plain,
( ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0
@ ( sK3
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK0 @ Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK0 @ Y0 @ Y1 ) ) ) ) )
= $false )
| ( ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK0 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK1 ) ) )
=> $true )
= $false ) ),
inference(beta-eta_normalization,[],[f87]) ).
thf(f92,plain,
( ( $false = $true )
| ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0
@ ( sK3
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK0 @ Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK0 @ Y0 @ Y1 ) ) ) ) )
= $false ) ),
inference(boolean_simplification,[],[f91]) ).
thf(f93,plain,
( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0
@ ( sK3
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK0 @ Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK0 @ Y0 @ Y1 ) ) ) ) )
= $false ),
inference(trivial_inequality_removal,[],[f92]) ).
thf(f101,plain,
! [X1: $i > $o] :
( $false
= ( ^ [Y0: $i > $o] :
( ( Y0
@ ( sK3
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK0 @ Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK0 @ Y0 @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f93]) ).
thf(f102,plain,
! [X1: $i > $o] :
( ( ( X1
@ ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( sK0 @ X1 @ Y0 ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f101]) ).
thf(f104,plain,
( ( ( sK2
@ ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) ) ) )
= $false )
| ( ( $true
& ( !! @ $i
@ ^ [Y0: $i] :
( ( sK0 @ sK2 @ Y0 )
=> ( sK0 @ ( sK0 @ sK2 ) @ Y0 ) ) ) )
= $false ) ),
inference(constrained_superposition,[],[f102,f32]) ).
thf(f105,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK0 @ sK2 @ Y0 )
=> ( sK0 @ ( sK0 @ sK2 ) @ Y0 ) ) )
= $false )
| ( ( sK2
@ ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) ) ) )
= $false ) ),
inference(boolean_simplification,[],[f104]) ).
thf(f107,definition,
( spl4_3
<=> ( ( sK2
@ ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
thf(f109,plain,
( ( ( sK2
@ ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) ) ) )
= $false )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f107]) ).
thf(f111,definition,
( spl4_4
<=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK0 @ sK2 @ Y0 )
=> ( sK0 @ ( sK0 @ sK2 ) @ Y0 ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
thf(f113,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK0 @ sK2 @ Y0 )
=> ( sK0 @ ( sK0 @ sK2 ) @ Y0 ) ) )
= $false )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f111]) ).
thf(f114,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f105,f111,f107]) ).
thf(f116,plain,
( ( ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK1 )
= $true )
| ( ( $false
=> ( ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) ) ) ) )
= $false )
| ~ spl4_3 ),
inference(constrained_superposition,[],[f61,f109]) ).
thf(f120,plain,
( ( ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK1 )
= $true )
| ( ( $false
=> ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0
@ ( sK3
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK0 @ Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
= $false )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f116]) ).
thf(f121,plain,
( ( $false = $true )
| ( ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK1 )
= $true )
| ~ spl4_3 ),
inference(boolean_simplification,[],[f120]) ).
thf(f122,plain,
( ( ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK1 )
= $true )
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f121]) ).
thf(f123,plain,
( ( $false = $true )
| ~ spl4_3 ),
inference(forward_demodulation,[],[f122,f22]) ).
thf(f124,plain,
( $false
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f123]) ).
thf(f125,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f124]) ).
thf(f126,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( sK0 @ sK2 @ Y0 )
=> ( sK0 @ ( sK0 @ sK2 ) @ Y0 ) )
@ sK5 ) )
| ~ spl4_4 ),
inference(sigma_proxy_clausification,[],[f113]) ).
thf(f127,plain,
( ( $false
= ( ( sK0 @ sK2 @ sK5 )
=> ( sK0 @ ( sK0 @ sK2 ) @ sK5 ) ) )
| ~ spl4_4 ),
inference(beta-eta_normalization,[],[f126]) ).
thf(f131,plain,
( ( $false = $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2 @ Y0 )
=> ( sK0 @ sK2 @ Y0 ) ) )
= $false )
| ~ spl4_4 ),
inference(constrained_superposition,[],[f127,f44]) ).
thf(f133,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2 @ Y0 )
=> ( sK0 @ sK2 @ Y0 ) ) )
= $false )
| ~ spl4_4 ),
inference(trivial_inequality_removal,[],[f131]) ).
thf(f162,plain,
( ( ( ^ [Y0: $i] :
( ( sK2 @ Y0 )
=> ( sK0 @ sK2 @ Y0 ) )
@ ( sK3 @ ( sK0 @ sK2 ) ) )
= $false )
| ~ spl4_4 ),
inference(sigma_proxy_clausification,[],[f133]) ).
thf(f163,plain,
( ( ( ( sK2 @ ( sK3 @ ( sK0 @ sK2 ) ) )
=> ( sK0 @ sK2 @ ( sK3 @ ( sK0 @ sK2 ) ) ) )
= $false )
| ~ spl4_4 ),
inference(beta-eta_normalization,[],[f162]) ).
thf(f164,plain,
( ( $false = $true )
| ~ spl4_4 ),
inference(forward_demodulation,[],[f163,f31]) ).
thf(f165,plain,
( $false
| ~ spl4_4 ),
inference(trivial_inequality_removal,[],[f164]) ).
thf(f166,plain,
~ spl4_4,
inference(avatar_contradiction_clause,[],[f165]) ).
cnf(s4,plain,
( spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f114]) ).
cnf(s5,plain,
~ spl4_3,
inference(sat_conversion,[],[f125]) ).
cnf(s8,plain,
~ spl4_4,
inference(sat_conversion,[],[f166]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s4,s8,s5]) ).
thf(f167,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV245^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n015.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 15:30:19 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.34 % (3659756)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.34 % (3659765)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1598600005:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.34 % (3659767)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.34 % (3659767)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.34 % (3659762)lrs+10_16_si=on:nwc=1.5:random_seed=3682350267:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.34 % (3659761)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=256504437:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.34 % (3659764)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=517788397:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.21/0.34 % (3659766)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3249048447:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.34 % (3659763)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1438252222:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.34 % (3659767)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=4081624622:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.34 % (3659765)Instruction limit reached!
% 0.21/0.34 % (3659765)------------------------------
% 0.21/0.34 % (3659765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (3659765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (3659765)CaDiCaL version: 2.1.3
% 0.21/0.34 % (3659765)Termination reason: Instruction limit
% 0.21/0.34 % (3659765)Termination phase: Saturation
% 0.21/0.34 % (3659765)Time elapsed: 0.008 s
% 0.21/0.34 % (3659765)Peak memory usage: 12 MB
% 0.21/0.34 % (3659765)Instructions burned: 27 (million)
% 0.21/0.34 % (3659763)Instruction limit reached!
% 0.21/0.34 % (3659763)------------------------------
% 0.21/0.34 % (3659763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (3659763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (3659763)CaDiCaL version: 2.1.3
% 0.21/0.34 % (3659763)Termination reason: Instruction limit
% 0.21/0.34 % (3659763)Termination phase: Saturation
% 0.21/0.34 % (3659763)Time elapsed: 0.003 s
% 0.21/0.34 % (3659763)Peak memory usage: 12 MB
% 0.21/0.34 % (3659763)Instructions burned: 3 (million)
% 0.21/0.34 % (3659762)Instruction limit reached!
% 0.21/0.34 % (3659762)------------------------------
% 0.21/0.34 % (3659762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (3659762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (3659762)CaDiCaL version: 2.1.3
% 0.21/0.34 % (3659762)Termination reason: Instruction limit
% 0.21/0.34 % (3659762)Termination phase: Saturation
% 0.21/0.34 % (3659762)Time elapsed: 0.011 s
% 0.21/0.34 % (3659762)Peak memory usage: 12 MB
% 0.21/0.34 % (3659762)Instructions burned: 19 (million)
% 0.21/0.34 % (3659775)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2305942160:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.34 % (3659775)Instruction limit reached!
% 0.21/0.34 % (3659775)------------------------------
% 0.21/0.34 % (3659775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (3659775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (3659775)CaDiCaL version: 2.1.3
% 0.21/0.34 % (3659775)Termination reason: Instruction limit
% 0.21/0.34 % (3659775)Termination phase: Saturation
% 0.21/0.34 % (3659775)Time elapsed: 0.001 s
% 0.21/0.34 % (3659775)Peak memory usage: 12 MB
% 0.21/0.34 % (3659775)Instructions burned: 4 (million)
% 0.21/0.34 % (3659776)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3124269033:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.21/0.34 % (3659776)Instruction limit reached!
% 0.21/0.34 % (3659776)------------------------------
% 0.21/0.34 % (3659776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (3659776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (3659776)CaDiCaL version: 2.1.3
% 0.21/0.34 % (3659776)Termination reason: Instruction limit
% 0.21/0.34 % (3659776)Termination phase: Saturation
% 0.21/0.34 % (3659776)Time elapsed: 0.004 s
% 0.21/0.34 % (3659776)Peak memory usage: 12 MB
% 0.21/0.34 % (3659776)Instructions burned: 6 (million)
% 0.21/0.34 % (3659778)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.34 % (3659779)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3219476493:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.21/0.34 % (3659778)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3199163772:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.21/0.34 % (3659779)Instruction limit reached!
% 0.21/0.34 % (3659779)------------------------------
% 0.21/0.34 % (3659779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (3659779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (3659779)CaDiCaL version: 2.1.3
% 0.21/0.34 % (3659779)Termination reason: Instruction limit
% 0.21/0.34 % (3659779)Termination phase: Saturation
% 0.21/0.34 % (3659779)Time elapsed: 0.005 s
% 0.21/0.34 % (3659779)Peak memory usage: 12 MB
% 0.21/0.34 % (3659779)Instructions burned: 16 (million)
% 0.21/0.34 % (3659778)Instruction limit reached!
% 0.21/0.34 % (3659778)------------------------------
% 0.21/0.34 % (3659778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (3659778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (3659778)CaDiCaL version: 2.1.3
% 0.21/0.34 % (3659778)Termination reason: Instruction limit
% 0.21/0.34 % (3659778)Termination phase: Saturation
% 0.21/0.34 % (3659778)Time elapsed: 0.005 s
% 0.21/0.34 % (3659778)Peak memory usage: 12 MB
% 0.21/0.34 % (3659778)Instructions burned: 8 (million)
% 0.21/0.34 % (3659781)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.34 % (3659781)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.34 % (3659766)Instruction limit reached!
% 0.21/0.34 % (3659766)------------------------------
% 0.21/0.34 % (3659766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (3659766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (3659766)CaDiCaL version: 2.1.3
% 0.21/0.34 % (3659766)Termination reason: Instruction limit
% 0.21/0.34 % (3659766)Termination phase: Saturation
% 0.21/0.34 % (3659766)Time elapsed: 0.042 s
% 0.21/0.34 % (3659766)Peak memory usage: 12 MB
% 0.21/0.34 % (3659766)Instructions burned: 75 (million)
% 0.21/0.34 % (3659784)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2309129782:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.21/0.34 % (3659781)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3811039241:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.21/0.34 % (3659761)Instruction limit reached!
% 0.21/0.34 % (3659761)------------------------------
% 0.21/0.34 % (3659761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (3659761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (3659761)CaDiCaL version: 2.1.3
% 0.21/0.34 % (3659761)Termination reason: Instruction limit
% 0.21/0.34 % (3659761)Termination phase: Saturation
% 0.21/0.34 % (3659761)Time elapsed: 0.047 s
% 0.21/0.34 % (3659761)Peak memory usage: 12 MB
% 0.21/0.34 % (3659761)Instructions burned: 88 (million)
% 0.21/0.34 % (3659784) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3659756-3659784"...
% 0.21/0.34 % (3659784)...printing done.
% 0.21/0.34 % (3659784)Refutation found. Thanks to Tanya!
% 0.21/0.34 % SZS status Theorem for theBenchmark
% 0.21/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.34 % (3659784)------------------------------
% 0.21/0.34 % (3659784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (3659784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (3659784)CaDiCaL version: 2.1.3
% 0.21/0.34 % (3659784)Termination reason: Refutation
% 0.21/0.34 % (3659784)Time elapsed: 0.007 s
% 0.21/0.34 % (3659784)Peak memory usage: 13 MB
% 0.21/0.34 % (3659784)Instructions burned: 21 (million)
% 0.21/0.34 % (3659756)Success in time 0.093 s
% 0.21/0.34 % Vampire exiting
%------------------------------------------------------------------------------