%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV510^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 08:38:46 AM UTC 2026
% Result : Theorem 0.20s 0.31s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of formulae : 51 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 349 ( 79 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 848 ( 16 ~; 14 |; 24 &; 710 @)
% ( 0 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 92 ( 92 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 21 usr; 4 con; 0-4 aty)
% ( 35 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 169 ( 67 ^; 90 !; 12 ?; 169 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
'type/realax/real': $tType ).
thf(type_def_6,type,
'type/nums/num': $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_8,type,
sK0: $tType ).
thf(func_def_0,type,
'const/sets/IN':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).
thf(func_def_1,type,
'const/sets/FINITE':
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_2,type,
'const/sets/CARD':
!>[X0: $tType] : ( ( X0 > $o ) > 'type/nums/num' ) ).
thf(func_def_3,type,
'const/realax/real_of_num': 'type/nums/num' > 'type/realax/real' ).
thf(func_def_4,type,
'const/realax/real_mul': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
thf(func_def_5,type,
'const/realax/real_le': 'type/realax/real' > 'type/realax/real' > $o ).
thf(func_def_6,type,
'const/iterate/sum':
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > 'type/realax/real' ) ).
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,
vAND: $o > $o > $o ).
thf(func_def_11,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_18,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_19,type,
sK1: sK0 > $o ).
thf(func_def_20,type,
sK2: 'type/realax/real' ).
thf(func_def_21,type,
sK3: sK0 > 'type/realax/real' ).
thf(func_def_22,type,
sK4: ( sK0 > 'type/realax/real' ) > ( sK0 > 'type/realax/real' ) > sK0 ).
thf(f1,axiom,
! [X0: $tType,X1: X0 > 'type/realax/real',X3: X0 > $o,X2: X0 > 'type/realax/real'] :
( ( ! [X4: X0] :
( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
=> ( 'const/realax/real_le' @ ( X1 @ X4 ) @ ( X2 @ X4 ) ) )
& ( 'const/sets/FINITE' @ X0 @ X3 ) )
=> ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_LE_') ).
thf(f2,axiom,
! [X0: $tType,X2: X0 > $o,X1: 'type/realax/real'] :
( ( 'const/sets/FINITE' @ X0 @ X2 )
=> ( ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ X0 @ X2 ) ) @ X1 )
= ( 'const/iterate/sum' @ X0 @ X2
@ ^ [X3: X0] : X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_CONST_') ).
thf(f3,conjecture,
! [X0: $tType,X3: 'type/realax/real',X2: X0 > 'type/realax/real',X1: X0 > $o] :
( ( ( 'const/sets/FINITE' @ X0 @ X1 )
& ! [X4: X0] :
( ( 'const/sets/IN' @ X0 @ X4 @ X1 )
=> ( 'const/realax/real_le' @ ( X2 @ X4 ) @ X3 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ X1 @ X2 ) @ ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ X0 @ X1 ) ) @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_BOUND_') ).
thf(f4,negated_conjecture,
~ ! [X0: $tType,X3: 'type/realax/real',X2: X0 > 'type/realax/real',X1: X0 > $o] :
( ( ( 'const/sets/FINITE' @ X0 @ X1 )
& ! [X4: X0] :
( ( 'const/sets/IN' @ X0 @ X4 @ X1 )
=> ( 'const/realax/real_le' @ ( X2 @ X4 ) @ X3 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ X1 @ X2 ) @ ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ X0 @ X1 ) ) @ X3 ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
thf(f5,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o,X3: X0 > 'type/realax/real'] :
( ( ! [X4: X0] :
( ( 'const/sets/IN' @ X0 @ X4 @ X2 )
=> ( 'const/realax/real_le' @ ( X1 @ X4 ) @ ( X3 @ X4 ) ) )
& ( 'const/sets/FINITE' @ X0 @ X2 ) )
=> ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X2 @ X3 ) ) ),
inference(rectify,[],[f1]) ).
thf(f6,plain,
! [X0: $tType] :
( $true
= ( !! @ ( X0 > 'type/realax/real' )
@ ^ [Y0: X0 > 'type/realax/real'] :
( !! @ ( X0 > $o )
@ ^ [Y1: X0 > $o] :
( !! @ ( X0 > 'type/realax/real' )
@ ^ [Y2: X0 > 'type/realax/real'] :
( ( ( 'const/sets/FINITE' @ X0 @ Y1 )
& ( !! @ X0
@ ^ [Y3: X0] :
( ( 'const/sets/IN' @ X0 @ Y3 @ Y1 )
=> ( 'const/realax/real_le' @ ( Y2 @ Y3 ) @ ( Y0 @ Y3 ) ) ) ) )
=> ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ Y1 @ Y2 ) @ ( 'const/iterate/sum' @ X0 @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f7,plain,
! [X0: $tType,X1: X0 > $o,X2: 'type/realax/real'] :
( ( 'const/sets/FINITE' @ X0 @ X1 )
=> ( ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ X0 @ X1 ) ) @ X2 )
= ( 'const/iterate/sum' @ X0 @ X1
@ ^ [X3: X0] : X2 ) ) ),
inference(rectify,[],[f2]) ).
thf(f8,plain,
! [X0: $tType] :
( $true
= ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( !! @ ( X0 > $o )
@ ^ [Y1: X0 > $o] :
( ( 'const/sets/FINITE' @ X0 @ Y1 )
=> ( ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ X0 @ Y1 ) ) @ Y0 )
= ( 'const/iterate/sum' @ X0 @ Y1
@ ^ [Y2: X0] : Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
~ ! [X0: $tType,X1: 'type/realax/real',X2: X0 > 'type/realax/real',X3: X0 > $o] :
( ( ( 'const/sets/FINITE' @ X0 @ X3 )
& ! [X4: X0] :
( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
=> ( 'const/realax/real_le' @ ( X2 @ X4 ) @ X1 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) @ ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ X0 @ X3 ) ) @ X1 ) ) ),
inference(rectify,[],[f4]) ).
thf(f10,plain,
~ ! [X0: $tType,X3: X0 > $o,X2: X0 > 'type/realax/real',X1: 'type/realax/real'] :
( ( ! [X4: X0] :
( ( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
= $true )
=> ( $true
= ( 'const/realax/real_le' @ ( X2 @ X4 ) @ X1 ) ) )
& ( ( 'const/sets/FINITE' @ X0 @ X3 )
= $true ) )
=> ( $true
= ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) @ ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ X0 @ X3 ) ) @ X1 ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
! [X0: $tType] :
( $true
= ( !! @ ( X0 > 'type/realax/real' )
@ ^ [Y0: X0 > 'type/realax/real'] :
( !! @ ( X0 > $o )
@ ^ [Y1: X0 > $o] :
( !! @ ( X0 > 'type/realax/real' )
@ ^ [Y2: X0 > 'type/realax/real'] :
( ( ( 'const/sets/FINITE' @ X0 @ Y1 )
& ( !! @ X0
@ ^ [Y3: X0] :
( ( 'const/sets/IN' @ X0 @ Y3 @ Y1 )
=> ( 'const/realax/real_le' @ ( Y2 @ Y3 ) @ ( Y0 @ Y3 ) ) ) ) )
=> ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ Y1 @ Y2 ) @ ( 'const/iterate/sum' @ X0 @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(closure,[],[f6]) ).
thf(f12,plain,
! [X0: $tType] :
( $true
= ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( !! @ ( X0 > $o )
@ ^ [Y1: X0 > $o] :
( ( 'const/sets/FINITE' @ X0 @ Y1 )
=> ( ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ X0 @ Y1 ) ) @ Y0 )
= ( 'const/iterate/sum' @ X0 @ Y1
@ ^ [Y2: X0] : Y0 ) ) ) ) ) ),
inference(closure,[],[f8]) ).
thf(f13,plain,
? [X0: $tType,X3: X0 > $o,X2: X0 > 'type/realax/real',X1: 'type/realax/real'] :
( ( $true
!= ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) @ ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ X0 @ X3 ) ) @ X1 ) ) )
& ! [X4: X0] :
( ( $true
= ( 'const/realax/real_le' @ ( X2 @ X4 ) @ X1 ) )
| ( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
!= $true ) )
& ( ( 'const/sets/FINITE' @ X0 @ X3 )
= $true ) ),
inference(ennf_transformation,[],[f10]) ).
thf(f14,plain,
? [X0: $tType,X3: X0 > $o,X1: 'type/realax/real',X2: X0 > 'type/realax/real'] :
( ( $true
!= ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) @ ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ X0 @ X3 ) ) @ X1 ) ) )
& ( ( 'const/sets/FINITE' @ X0 @ X3 )
= $true )
& ! [X4: X0] :
( ( $true
= ( 'const/realax/real_le' @ ( X2 @ X4 ) @ X1 ) )
| ( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
!= $true ) ) ),
inference(flattening,[],[f13]) ).
thf(f15,plain,
? [X0: $tType,X1: X0 > $o,X2: 'type/realax/real',X3: X0 > 'type/realax/real'] :
( ( $true
!= ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ X1 @ X3 ) @ ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ X0 @ X1 ) ) @ X2 ) ) )
& ( ( 'const/sets/FINITE' @ X0 @ X1 )
= $true )
& ! [X4: X0] :
( ( $true
= ( 'const/realax/real_le' @ ( X3 @ X4 ) @ X2 ) )
| ( ( 'const/sets/IN' @ X0 @ X4 @ X1 )
!= $true ) ) ),
inference(rectify,[],[f14]) ).
thf(f16,plain,
( ( $true
!= ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK3 ) @ ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ sK0 @ sK1 ) ) @ sK2 ) ) )
& ( $true
= ( 'const/sets/FINITE' @ sK0 @ sK1 ) )
& ! [X4: sK0] :
( ( $true
= ( 'const/realax/real_le' @ ( sK3 @ X4 ) @ sK2 ) )
| ( $true
!= ( 'const/sets/IN' @ sK0 @ X4 @ sK1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f15]) ).
thf(f17,plain,
! [X4: sK0] :
( ( $true
!= ( 'const/sets/IN' @ sK0 @ X4 @ sK1 ) )
| ( $true
= ( 'const/realax/real_le' @ ( sK3 @ X4 ) @ sK2 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f18,plain,
( $true
= ( 'const/sets/FINITE' @ sK0 @ sK1 ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f19,plain,
( $true
!= ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK3 ) @ ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ sK0 @ sK1 ) ) @ sK2 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f20,plain,
! [X0: $tType] :
( $true
= ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( !! @ ( X0 > $o )
@ ^ [Y1: X0 > $o] :
( ( 'const/sets/FINITE' @ X0 @ Y1 )
=> ( ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ X0 @ Y1 ) ) @ Y0 )
= ( 'const/iterate/sum' @ X0 @ Y1
@ ^ [Y2: X0] : Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f21,plain,
! [X0: $tType] :
( $true
= ( !! @ ( X0 > 'type/realax/real' )
@ ^ [Y0: X0 > 'type/realax/real'] :
( !! @ ( X0 > $o )
@ ^ [Y1: X0 > $o] :
( !! @ ( X0 > 'type/realax/real' )
@ ^ [Y2: X0 > 'type/realax/real'] :
( ( ( 'const/sets/FINITE' @ X0 @ Y1 )
& ( !! @ X0
@ ^ [Y3: X0] :
( ( 'const/sets/IN' @ X0 @ Y3 @ Y1 )
=> ( 'const/realax/real_le' @ ( Y2 @ Y3 ) @ ( Y0 @ Y3 ) ) ) ) )
=> ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ Y1 @ Y2 ) @ ( 'const/iterate/sum' @ X0 @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f24,plain,
! [X0: $tType,X1: 'type/realax/real'] :
( $true
= ( ^ [Y0: 'type/realax/real'] :
( !! @ ( X0 > $o )
@ ^ [Y1: X0 > $o] :
( ( 'const/sets/FINITE' @ X0 @ Y1 )
=> ( ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ X0 @ Y1 ) ) @ Y0 )
= ( 'const/iterate/sum' @ X0 @ Y1
@ ^ [Y2: X0] : Y0 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f20]) ).
thf(f25,plain,
! [X0: $tType,X1: 'type/realax/real'] :
( $true
= ( !! @ ( X0 > $o )
@ ^ [Y0: X0 > $o] :
( ( 'const/sets/FINITE' @ X0 @ Y0 )
=> ( ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ X0 @ Y0 ) ) @ X1 )
= ( 'const/iterate/sum' @ X0 @ Y0
@ ^ [Y1: X0] : X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f24]) ).
thf(f26,plain,
! [X0: $tType,X2: X0 > $o,X1: 'type/realax/real'] :
( $true
= ( ^ [Y0: X0 > $o] :
( ( 'const/sets/FINITE' @ X0 @ Y0 )
=> ( ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ X0 @ Y0 ) ) @ X1 )
= ( 'const/iterate/sum' @ X0 @ Y0
@ ^ [Y1: X0] : X1 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f25]) ).
thf(f27,plain,
! [X0: $tType,X2: X0 > $o,X1: 'type/realax/real'] :
( $true
= ( ( 'const/sets/FINITE' @ X0 @ X2 )
=> ( ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ X0 @ X2 ) ) @ X1 )
= ( 'const/iterate/sum' @ X0 @ X2
@ ^ [Y0: X0] : X1 ) ) ) ),
inference(beta-eta_normalization,[],[f26]) ).
thf(f29,plain,
! [X0: 'type/realax/real'] :
( $true
= ( $true
=> ( ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ sK0 @ sK1 ) ) @ X0 )
= ( 'const/iterate/sum' @ sK0 @ sK1
@ ^ [Y0: sK0] : X0 ) ) ) ),
inference(constrained_superposition,[],[f27,f18]) ).
thf(f30,plain,
! [X0: 'type/realax/real'] :
( $true
= ( ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ sK0 @ sK1 ) ) @ X0 )
= ( 'const/iterate/sum' @ sK0 @ sK1
@ ^ [Y0: sK0] : X0 ) ) ),
inference(boolean_simplification,[],[f29]) ).
thf(f31,plain,
! [X0: 'type/realax/real'] :
( ( 'const/iterate/sum' @ sK0 @ sK1
@ ^ [Y0: sK0] : X0 )
= ( 'const/realax/real_mul' @ ( 'const/realax/real_of_num' @ ( 'const/sets/CARD' @ sK0 @ sK1 ) ) @ X0 ) ),
inference(equality_proxy_clausification,[],[f30]) ).
thf(f32,plain,
( $true
!= ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK3 )
@ ( 'const/iterate/sum' @ sK0 @ sK1
@ ^ [Y0: sK0] : sK2 ) ) ),
inference(constrained_superposition,[],[f19,f31]) ).
thf(f38,plain,
! [X0: $tType,X1: X0 > 'type/realax/real'] :
( ( ^ [Y0: X0 > 'type/realax/real'] :
( !! @ ( X0 > $o )
@ ^ [Y1: X0 > $o] :
( !! @ ( X0 > 'type/realax/real' )
@ ^ [Y2: X0 > 'type/realax/real'] :
( ( ( 'const/sets/FINITE' @ X0 @ Y1 )
& ( !! @ X0
@ ^ [Y3: X0] :
( ( 'const/sets/IN' @ X0 @ Y3 @ Y1 )
=> ( 'const/realax/real_le' @ ( Y2 @ Y3 ) @ ( Y0 @ Y3 ) ) ) ) )
=> ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ Y1 @ Y2 ) @ ( 'const/iterate/sum' @ X0 @ Y1 @ Y0 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f21]) ).
thf(f39,plain,
! [X0: $tType,X1: X0 > 'type/realax/real'] :
( $true
= ( !! @ ( X0 > $o )
@ ^ [Y0: X0 > $o] :
( !! @ ( X0 > 'type/realax/real' )
@ ^ [Y1: X0 > 'type/realax/real'] :
( ( ( 'const/sets/FINITE' @ X0 @ Y0 )
& ( !! @ X0
@ ^ [Y2: X0] :
( ( 'const/sets/IN' @ X0 @ Y2 @ Y0 )
=> ( 'const/realax/real_le' @ ( Y1 @ Y2 ) @ ( X1 @ Y2 ) ) ) ) )
=> ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ Y0 @ Y1 ) @ ( 'const/iterate/sum' @ X0 @ Y0 @ X1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f40,plain,
! [X0: $tType,X2: X0 > $o,X1: X0 > 'type/realax/real'] :
( ( ^ [Y0: X0 > $o] :
( !! @ ( X0 > 'type/realax/real' )
@ ^ [Y1: X0 > 'type/realax/real'] :
( ( ( 'const/sets/FINITE' @ X0 @ Y0 )
& ( !! @ X0
@ ^ [Y2: X0] :
( ( 'const/sets/IN' @ X0 @ Y2 @ Y0 )
=> ( 'const/realax/real_le' @ ( Y1 @ Y2 ) @ ( X1 @ Y2 ) ) ) ) )
=> ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ Y0 @ Y1 ) @ ( 'const/iterate/sum' @ X0 @ Y0 @ X1 ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f39]) ).
thf(f41,plain,
! [X0: $tType,X2: X0 > $o,X1: X0 > 'type/realax/real'] :
( $true
= ( !! @ ( X0 > 'type/realax/real' )
@ ^ [Y0: X0 > 'type/realax/real'] :
( ( ( 'const/sets/FINITE' @ X0 @ X2 )
& ( !! @ X0
@ ^ [Y1: X0] :
( ( 'const/sets/IN' @ X0 @ Y1 @ X2 )
=> ( 'const/realax/real_le' @ ( Y0 @ Y1 ) @ ( X1 @ Y1 ) ) ) ) )
=> ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ X2 @ Y0 ) @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f40]) ).
thf(f42,plain,
! [X0: $tType,X2: X0 > $o,X3: X0 > 'type/realax/real',X1: X0 > 'type/realax/real'] :
( $true
= ( ^ [Y0: X0 > 'type/realax/real'] :
( ( ( 'const/sets/FINITE' @ X0 @ X2 )
& ( !! @ X0
@ ^ [Y1: X0] :
( ( 'const/sets/IN' @ X0 @ Y1 @ X2 )
=> ( 'const/realax/real_le' @ ( Y0 @ Y1 ) @ ( X1 @ Y1 ) ) ) ) )
=> ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ X2 @ Y0 ) @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f41]) ).
thf(f43,plain,
! [X0: $tType,X2: X0 > $o,X3: X0 > 'type/realax/real',X1: X0 > 'type/realax/real'] :
( $true
= ( ( ( 'const/sets/FINITE' @ X0 @ X2 )
& ( !! @ X0
@ ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ X2 )
=> ( 'const/realax/real_le' @ ( X3 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) )
=> ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ X0 @ X2 @ X3 ) @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f42]) ).
thf(f45,plain,
! [X0: sK0 > 'type/realax/real',X1: sK0 > 'type/realax/real'] :
( $true
= ( ( $true
& ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK1 )
=> ( 'const/realax/real_le' @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) )
=> ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X0 ) @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X1 ) ) ) ),
inference(constrained_superposition,[],[f43,f18]) ).
thf(f46,plain,
! [X0: sK0 > 'type/realax/real',X1: sK0 > 'type/realax/real'] :
( $true
= ( ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK1 )
=> ( 'const/realax/real_le' @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) )
=> ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X0 ) @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X1 ) ) ) ),
inference(boolean_simplification,[],[f45]) ).
thf(f47,plain,
! [X0: sK0 > 'type/realax/real',X1: sK0 > 'type/realax/real'] :
( ( ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK1 )
=> ( 'const/realax/real_le' @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) )
= $false )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X0 ) @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f46]) ).
thf(f48,plain,
! [X0: sK0 > 'type/realax/real',X1: sK0 > 'type/realax/real'] :
( ( $true
= ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X0 ) @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X1 ) ) )
| ( $false
= ( ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ sK1 )
=> ( 'const/realax/real_le' @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) )
@ ( sK4 @ X1 @ X0 ) ) ) ),
inference(sigma_proxy_clausification,[],[f47]) ).
thf(f49,plain,
! [X0: sK0 > 'type/realax/real',X1: sK0 > 'type/realax/real'] :
( ( $false
= ( ( 'const/sets/IN' @ sK0 @ ( sK4 @ X1 @ X0 ) @ sK1 )
=> ( 'const/realax/real_le' @ ( X0 @ ( sK4 @ X1 @ X0 ) ) @ ( X1 @ ( sK4 @ X1 @ X0 ) ) ) ) )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X0 ) @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f48]) ).
thf(f54,plain,
! [X0: sK0 > 'type/realax/real',X1: sK0 > 'type/realax/real'] :
( ( $true
= ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X0 ) @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X1 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK4 @ X1 @ X0 ) @ sK1 ) ) ),
inference(imp_proxy_clausification,[],[f49]) ).
thf(f55,plain,
( ( $true != $true )
| ( $true
= ( 'const/sets/IN' @ sK0
@ ( sK4
@ ^ [Y0: sK0] : sK2
@ sK3 )
@ sK1 ) ) ),
inference(constrained_superposition,[],[f32,f54]) ).
thf(f58,plain,
( $true
= ( 'const/sets/IN' @ sK0
@ ( sK4
@ ^ [Y0: sK0] : sK2
@ sK3 )
@ sK1 ) ),
inference(trivial_inequality_removal,[],[f55]) ).
thf(f61,plain,
( ( $true
= ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK3 )
@ ( 'const/iterate/sum' @ sK0 @ sK1
@ ^ [Y0: sK0] : sK2 ) ) )
| ( $false
= ( $true
=> ( 'const/realax/real_le'
@ ( sK3
@ ( sK4
@ ^ [Y0: sK0] : sK2
@ sK3 ) )
@ ( ^ [Y0: sK0] : sK2
@ ( sK4
@ ^ [Y0: sK0] : sK2
@ sK3 ) ) ) ) ) ),
inference(constrained_superposition,[],[f49,f58]) ).
thf(f62,plain,
( ( $true
= ( 'const/realax/real_le'
@ ( sK3
@ ( sK4
@ ^ [Y0: sK0] : sK2
@ sK3 ) )
@ sK2 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f17,f58]) ).
thf(f63,plain,
( ( $false
= ( $true
=> ( 'const/realax/real_le'
@ ( sK3
@ ( sK4
@ ^ [Y0: sK0] : sK2
@ sK3 ) )
@ sK2 ) ) )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK3 )
@ ( 'const/iterate/sum' @ sK0 @ sK1
@ ^ [Y0: sK0] : sK2 ) ) ) ),
inference(beta-eta_normalization,[],[f61]) ).
thf(f64,plain,
( ( $true
= ( 'const/realax/real_le' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK3 )
@ ( 'const/iterate/sum' @ sK0 @ sK1
@ ^ [Y0: sK0] : sK2 ) ) )
| ( $false
= ( 'const/realax/real_le'
@ ( sK3
@ ( sK4
@ ^ [Y0: sK0] : sK2
@ sK3 ) )
@ sK2 ) ) ),
inference(boolean_simplification,[],[f63]) ).
thf(f65,plain,
( $true
= ( 'const/realax/real_le'
@ ( sK3
@ ( sK4
@ ^ [Y0: sK0] : sK2
@ sK3 ) )
@ sK2 ) ),
inference(trivial_inequality_removal,[],[f62]) ).
thf(f66,plain,
( $false
= ( 'const/realax/real_le'
@ ( sK3
@ ( sK4
@ ^ [Y0: sK0] : sK2
@ sK3 ) )
@ sK2 ) ),
inference(forward_subsumption_resolution,[],[f64,f32]) ).
thf(f68,plain,
$true = $false,
inference(constrained_superposition,[],[f65,f66]) ).
thf(f69,plain,
$false,
inference(trivial_inequality_removal,[],[f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV510^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n019.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Sep 29 15:55:03 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running higher-order theorem proving
% 0.06/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.31 % (960313)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.31 % (960318)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2166056460:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.31 % (960318)Refutation not found, incomplete strategy
% 0.20/0.31 % (960318)------------------------------
% 0.20/0.31 % (960318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (960318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (960318)CaDiCaL version: 2.1.3
% 0.20/0.31 % (960318)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.31 % (960318)Time elapsed: 0.002 s
% 0.20/0.31 % (960318)Peak memory usage: 12 MB
% 0.20/0.31 % (960318)Instructions burned: 5 (million)
% 0.20/0.31 % (960318)------------------------------
% 0.20/0.31 % (960318)------------------------------
% 0.20/0.31 % (960319)lrs+10_16_si=on:nwc=1.5:random_seed=3188212450:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.31 % (960320)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2614247272:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.31 % (960321)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=3416526608: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)
% 0.20/0.31 % (960322)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3437776295:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.31 % (960320)Instruction limit reached!
% 0.20/0.31 % (960320)------------------------------
% 0.20/0.31 % (960320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (960320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (960320)CaDiCaL version: 2.1.3
% 0.20/0.31 % (960320)Termination reason: Instruction limit
% 0.20/0.31 % (960320)Termination phase: Saturation
% 0.20/0.31 % (960320)Time elapsed: 0.003 s
% 0.20/0.31 % (960320)Peak memory usage: 12 MB
% 0.20/0.31 % (960320)Instructions burned: 4 (million)
% 0.20/0.31 % (960321)Refutation not found, incomplete strategy
% 0.20/0.31 % (960321)------------------------------
% 0.20/0.31 % (960321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (960321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (960321)CaDiCaL version: 2.1.3
% 0.20/0.31 % (960321)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.31 % (960321)Time elapsed: 0.003 s
% 0.20/0.31 % (960321)Peak memory usage: 12 MB
% 0.20/0.31 % (960321)Instructions burned: 4 (million)
% 0.20/0.31 % (960324)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.31 % (960324)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
% 0.20/0.31 % (960321)------------------------------
% 0.20/0.31 % (960321)------------------------------
% 0.20/0.31 % (960322)Refutation not found, incomplete strategy
% 0.20/0.31 % (960322)------------------------------
% 0.20/0.31 % (960322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (960322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (960322)CaDiCaL version: 2.1.3
% 0.20/0.31 % (960322)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.31 % (960322)Time elapsed: 0.005 s
% 0.20/0.31 % (960322)Peak memory usage: 12 MB
% 0.20/0.31 % (960322)Instructions burned: 7 (million)
% 0.20/0.31 % (960326)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2349459233:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.31 % (960322)------------------------------
% 0.20/0.31 % (960322)------------------------------
% 0.20/0.31 % (960326)Instruction limit reached!
% 0.20/0.31 % (960326)------------------------------
% 0.20/0.31 % (960326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (960326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (960326)CaDiCaL version: 2.1.3
% 0.20/0.31 % (960326)Termination reason: Instruction limit
% 0.20/0.31 % (960326)Termination phase: Saturation
% 0.20/0.31 % (960326)Time elapsed: 0.001 s
% 0.20/0.31 % (960326)Peak memory usage: 12 MB
% 0.20/0.31 % (960326)Instructions burned: 2 (million)
% 0.20/0.31 % (960324)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=4224615091:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.31 % (960319)Instruction limit reached!
% 0.20/0.31 % (960319)------------------------------
% 0.20/0.31 % (960319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (960319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (960319)CaDiCaL version: 2.1.3
% 0.20/0.31 % (960319)Termination reason: Instruction limit
% 0.20/0.31 % (960319)Termination phase: Saturation
% 0.20/0.31 % (960319)Time elapsed: 0.010 s
% 0.20/0.31 % (960319)Peak memory usage: 12 MB
% 0.20/0.31 % (960319)Instructions burned: 18 (million)
% 0.20/0.31 % (960323)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2040388971:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.31 % (960335)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
% 0.20/0.31 % (960335)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.31 % (960335)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4093030823:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.20/0.31 % (960333)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.31 % (960331)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4091311566:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.20/0.31 % (960333)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1709751824:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.20/0.31 % (960334)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=251477657:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.20/0.31 % (960335)Instruction limit reached!
% 0.20/0.31 % (960335)------------------------------
% 0.20/0.31 % (960335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (960335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (960335)CaDiCaL version: 2.1.3
% 0.20/0.31 % (960335)Termination reason: Instruction limit
% 0.20/0.31 % (960335)Termination phase: Saturation
% 0.20/0.31 % (960335)Time elapsed: 0.007 s
% 0.20/0.31 % (960335)Peak memory usage: 12 MB
% 0.20/0.31 % (960335)Instructions burned: 29 (million)
% 0.20/0.31 % (960331)Instruction limit reached!
% 0.20/0.31 % (960331)------------------------------
% 0.20/0.31 % (960331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (960331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (960331)CaDiCaL version: 2.1.3
% 0.20/0.31 % (960331)Termination reason: Instruction limit
% 0.20/0.31 % (960331)Termination phase: Saturation
% 0.20/0.31 % (960331)Time elapsed: 0.003 s
% 0.20/0.31 % (960331)Peak memory usage: 12 MB
% 0.20/0.31 % (960331)Instructions burned: 5 (million)
% 0.20/0.31 % (960338)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=1749761799:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.20/0.31 % (960333)Instruction limit reached!
% 0.20/0.31 % (960333)------------------------------
% 0.20/0.31 % (960333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (960333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (960333)CaDiCaL version: 2.1.3
% 0.20/0.31 % (960333)Termination reason: Instruction limit
% 0.20/0.31 % (960333)Termination phase: Saturation
% 0.20/0.31 % (960333)Time elapsed: 0.005 s
% 0.20/0.31 % (960333)Peak memory usage: 12 MB
% 0.20/0.31 % (960333)Instructions burned: 8 (million)
% 0.20/0.31 % (960334)Instruction limit reached!
% 0.20/0.31 % (960334)------------------------------
% 0.20/0.31 % (960334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (960334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (960334)CaDiCaL version: 2.1.3
% 0.20/0.31 % (960334)Termination reason: Instruction limit
% 0.20/0.31 % (960334)Termination phase: Saturation
% 0.20/0.31 % (960334)Time elapsed: 0.008 s
% 0.20/0.31 % (960334)Peak memory usage: 12 MB
% 0.20/0.31 % (960334)Instructions burned: 12 (million)
% 0.20/0.31 % (960343)lrs+10_1_si=on:cs=on:random_seed=2784945068:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.20/0.31 % (960338) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-960313-960338"...
% 0.20/0.31 % (960343)Instruction limit reached!
% 0.20/0.31 % (960343)------------------------------
% 0.20/0.31 % (960343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (960343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (960343)CaDiCaL version: 2.1.3
% 0.20/0.31 % (960343)Termination reason: Instruction limit
% 0.20/0.31 % (960343)Termination phase: Saturation
% 0.20/0.31 % (960343)Time elapsed: 0.003 s
% 0.20/0.31 % (960343)Peak memory usage: 12 MB
% 0.20/0.31 % (960343)Instructions burned: 10 (million)
% 0.20/0.31 % (960338)...printing done.
% 0.20/0.31 % (960338)Refutation found. Thanks to Tanya!
% 0.20/0.31 % SZS status Theorem for theBenchmark
% 0.20/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.31 % (960338)------------------------------
% 0.20/0.31 % (960338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (960338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (960338)CaDiCaL version: 2.1.3
% 0.20/0.31 % (960338)Termination reason: Refutation
% 0.20/0.31 % (960338)Time elapsed: 0.009 s
% 0.20/0.31 % (960338)Peak memory usage: 12 MB
% 0.20/0.31 % (960338)Instructions burned: 14 (million)
% 0.20/0.31 % (960313)Success in time 0.075 s
% 0.20/0.31 % Vampire exiting
%------------------------------------------------------------------------------