%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO057^2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 08:46:25 AM UTC 2026
% Result : Theorem 0.63s 0.38s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 7
% Syntax : Number of formulae : 59 ( 36 unt; 0 typ; 0 def)
% Number of atoms : 293 ( 91 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 724 ( 85 ~; 107 |; 0 &; 488 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 171 ( 171 >; 0 *; 0 +; 0 <<)
% Number of symbols : 50 ( 46 usr; 3 con; 0-4 aty)
% ( 44 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 249 ( 150 ^; 94 !; 5 ?; 249 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mu: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
meq_ind: mu > mu > $i > $o ).
thf(func_def_1,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_4,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_5,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_7,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_11,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_12,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_13,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_14,type,
mtrue: $i > $o ).
thf(func_def_15,type,
mfalse: $i > $o ).
thf(func_def_16,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_17,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_18,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(func_def_19,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(func_def_20,type,
mserial: ( $i > $i > $o ) > $o ).
thf(func_def_21,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(func_def_22,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(func_def_23,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(func_def_24,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(func_def_25,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(func_def_26,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(func_def_27,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(func_def_28,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_29,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_30,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_31,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_32,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_33,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_34,type,
vAND: $o > $o > $o ).
thf(func_def_35,type,
vIMP: $o > $o > $o ).
thf(func_def_36,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_37,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_38,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_39,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_40,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_41,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_42,type,
vOR: $o > $o > $o ).
thf(func_def_45,type,
vNOT: $o > $o ).
thf(func_def_46,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_47,type,
sK0: $i > ( $i > $i > $o ) > ( $i > $o ) > $i ).
thf(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mnot) ).
thf(f4,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) )
= mor ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mor) ).
thf(f6,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) )
= mimplies ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mimplies) ).
thf(f11,axiom,
( ( ^ [X0: ( $i > $o ) > $i > $o,X1: $i] :
! [X2: $i > $o] : ( X0 @ X2 @ X1 ) )
= mforall_prop ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mforall_prop) ).
thf(f16,axiom,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f32,conjecture,
? [X0: $i > $i > $o] :
~ ( mvalid
@ ( mforall_prop
@ ^ [X1: $i > $o] : ( mimplies @ ( mbox @ X0 @ ( mimplies @ ( mbox @ X0 @ X1 ) @ X1 ) ) @ ( mbox @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f33,negated_conjecture,
~ ? [X0: $i > $i > $o] :
~ ( mvalid
@ ( mforall_prop
@ ^ [X1: $i > $o] : ( mimplies @ ( mbox @ X0 @ ( mimplies @ ( mbox @ X0 @ X1 ) @ X1 ) ) @ ( mbox @ X0 @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
thf(f42,plain,
~ ? [X0: $i > $i > $o] :
~ ( mvalid
@ ( mforall_prop
@ ^ [X1: $i > $o] : ( mimplies @ ( mbox @ X0 @ ( mimplies @ ( mbox @ X0 @ X1 ) @ X1 ) ) @ ( mbox @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f33]) ).
thf(f43,plain,
~ ? [X0: $i > $i > $o] :
( ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ X0 @ ( mimplies @ ( mbox @ X0 @ Y0 ) @ Y0 ) ) @ ( mbox @ X0 @ Y0 ) ) ) )
!= $true ),
inference(fool_elimination,[],[f42]) ).
thf(f49,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f50,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f49]) ).
thf(f53,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f54,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f53]) ).
thf(f60,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f61,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f60]) ).
thf(f68,plain,
( ( ^ [X0: ( $i > $o ) > $i > $o,X1: $i] :
! [X2: $i > $o] : ( X0 @ X2 @ X1 ) )
= mforall_prop ),
inference(rectify,[],[f11]) ).
thf(f69,plain,
( mforall_prop
= ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f68]) ).
thf(f84,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f85,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f84]) ).
thf(f86,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f87,plain,
~ ? [X0: $i > $i > $o] :
( ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ X0 @ ( mimplies @ ( mbox @ X0 @ Y0 ) @ Y0 ) ) @ ( mbox @ X0 @ Y0 ) ) ) )
!= $true ),
inference(flattening,[],[f43]) ).
thf(f88,plain,
! [X0: $i > $i > $o] :
( ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ X0 @ ( mimplies @ ( mbox @ X0 @ Y0 ) @ Y0 ) ) @ ( mbox @ X0 @ Y0 ) ) ) )
= $true ),
inference(ennf_transformation,[],[f87]) ).
thf(f89,plain,
( mforall_prop
= ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f69]) ).
thf(f90,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f54]) ).
thf(f91,plain,
! [X0: $i > $i > $o] :
( ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ X0 @ ( mimplies @ ( mbox @ X0 @ Y0 ) @ Y0 ) ) @ ( mbox @ X0 @ Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f88]) ).
thf(f93,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f86]) ).
thf(f94,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f61]) ).
thf(f95,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f50]) ).
thf(f96,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f85]) ).
thf(f99,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f93,f96,f95]) ).
thf(f100,plain,
! [X0: $i > $i > $o] :
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y3 @ Y5 )
| ( Y4 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( Y1 @ Y3 @ Y4 ) ) )
@ X0
@ ( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y3 @ Y5 )
| ( Y4 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( Y1 @ Y3 @ Y4 ) ) )
@ X0
@ Y0 )
@ Y0 ) )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( Y1 @ Y3 @ Y4 ) ) )
@ X0
@ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f91,f94,f89,f99,f90,f99,f90,f90]) ).
thf(f101,plain,
! [X0: $i > $i > $o] :
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( X0 @ Y2 @ Y3 ) ) )
| ( Y1 @ Y2 )
| ~ ( X0 @ Y0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
| ~ ( X0 @ Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f100]) ).
thf(f102,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( X0 @ Y2 @ Y3 ) ) )
| ( Y1 @ Y2 )
| ~ ( X0 @ Y0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
| ~ ( X0 @ Y0 @ Y2 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f101]) ).
thf(f103,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( X0 @ Y1 @ Y2 ) ) )
| ( Y0 @ Y1 )
| ~ ( X0 @ X1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
| ~ ( X0 @ X1 @ Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f102]) ).
thf(f104,plain,
! [X2: $i > $o,X0: $i > $i > $o,X1: $i] :
( ( ^ [Y0: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( X0 @ Y1 @ Y2 ) ) )
| ( Y0 @ Y1 )
| ~ ( X0 @ X1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
| ~ ( X0 @ X1 @ Y1 ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f103]) ).
thf(f105,plain,
! [X2: $i > $o,X0: $i > $i > $o,X1: $i] :
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( X2 @ Y1 )
| ~ ( X0 @ Y0 @ Y1 ) ) )
| ( X2 @ Y0 )
| ~ ( X0 @ X1 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
| ~ ( X0 @ X1 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f104]) ).
thf(f106,plain,
! [X2: $i > $o,X0: $i > $i > $o,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
| ~ ( X0 @ X1 @ Y0 ) ) )
= $true )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( X2 @ Y1 )
| ~ ( X0 @ Y0 @ Y1 ) ) )
| ( X2 @ Y0 )
| ~ ( X0 @ X1 @ Y0 ) ) ) )
= $true ) ),
inference(or_proxy_clausification,[],[f105]) ).
thf(f107,plain,
! [X2: $i > $o,X3: $i,X0: $i > $i > $o,X1: $i] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( X2 @ Y1 )
| ~ ( X0 @ Y0 @ Y1 ) ) )
| ( X2 @ Y0 )
| ~ ( X0 @ X1 @ Y0 ) ) ) )
= $true )
| ( ( ^ [Y0: $i] :
( ( X2 @ Y0 )
| ~ ( X0 @ X1 @ Y0 ) )
@ X3 )
= $true ) ),
inference(pi_proxy_clausification,[],[f106]) ).
thf(f108,plain,
! [X2: $i > $o,X3: $i,X0: $i > $i > $o,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( X2 @ Y1 )
| ~ ( X0 @ Y0 @ Y1 ) ) )
| ( X2 @ Y0 )
| ~ ( X0 @ X1 @ Y0 ) ) )
= $false )
| ( ( ^ [Y0: $i] :
( ( X2 @ Y0 )
| ~ ( X0 @ X1 @ Y0 ) )
@ X3 )
= $true ) ),
inference(not_proxy_clausification,[],[f107]) ).
thf(f109,plain,
! [X2: $i > $o,X3: $i,X0: $i > $i > $o,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( X2 @ Y1 )
| ~ ( X0 @ Y0 @ Y1 ) ) )
| ( X2 @ Y0 )
| ~ ( X0 @ X1 @ Y0 ) )
@ ( sK0 @ X1 @ X0 @ X2 ) ) )
| ( ( ^ [Y0: $i] :
( ( X2 @ Y0 )
| ~ ( X0 @ X1 @ Y0 ) )
@ X3 )
= $true ) ),
inference(sigma_proxy_clausification,[],[f108]) ).
thf(f110,plain,
! [X2: $i > $o,X3: $i,X0: $i > $i > $o,X1: $i] :
( ( ( ( X2 @ X3 )
| ~ ( X0 @ X1 @ X3 ) )
= $true )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
| ~ ( X0 @ ( sK0 @ X1 @ X0 @ X2 ) @ Y0 ) ) )
| ( X2 @ ( sK0 @ X1 @ X0 @ X2 ) )
| ~ ( X0 @ X1 @ ( sK0 @ X1 @ X0 @ X2 ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f109]) ).
thf(f111,plain,
! [X2: $i > $o,X3: $i,X0: $i > $i > $o,X1: $i] :
( ( $true
= ( ~ ( X0 @ X1 @ X3 ) ) )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
| ~ ( X0 @ ( sK0 @ X1 @ X0 @ X2 ) @ Y0 ) ) )
| ( X2 @ ( sK0 @ X1 @ X0 @ X2 ) )
| ~ ( X0 @ X1 @ ( sK0 @ X1 @ X0 @ X2 ) ) )
= $false )
| ( ( X2 @ X3 )
= $true ) ),
inference(or_proxy_clausification,[],[f110]) ).
thf(f112,plain,
! [X2: $i > $o,X3: $i,X0: $i > $i > $o,X1: $i] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
| ~ ( X0 @ ( sK0 @ X1 @ X0 @ X2 ) @ Y0 ) ) )
| ( X2 @ ( sK0 @ X1 @ X0 @ X2 ) )
| ~ ( X0 @ X1 @ ( sK0 @ X1 @ X0 @ X2 ) ) )
= $false )
| ( ( X0 @ X1 @ X3 )
= $false )
| ( ( X2 @ X3 )
= $true ) ),
inference(not_proxy_clausification,[],[f111]) ).
thf(f114,plain,
! [X2: $i > $o,X3: $i,X0: $i > $i > $o,X1: $i] :
( ( ( X0 @ X1 @ X3 )
= $false )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
| ~ ( X0 @ ( sK0 @ X1 @ X0 @ X2 ) @ Y0 ) ) )
| ( X2 @ ( sK0 @ X1 @ X0 @ X2 ) ) )
= $false )
| ( ( X2 @ X3 )
= $true ) ),
inference(or_proxy_clausification,[],[f112]) ).
thf(f116,plain,
! [X2: $i > $o,X3: $i,X0: $i > $i > $o,X1: $i] :
( ( ( X2 @ X3 )
= $true )
| ( ( X0 @ X1 @ X3 )
= $false )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
| ~ ( X0 @ ( sK0 @ X1 @ X0 @ X2 ) @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f114]) ).
thf(f117,plain,
! [X2: $i > $o,X3: $i,X0: $i > $i > $o,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
| ~ ( X0 @ ( sK0 @ X1 @ X0 @ X2 ) @ Y0 ) ) ) )
| ( ( X2 @ X3 )
= $true )
| ( ( X0 @ X1 @ X3 )
= $false ) ),
inference(not_proxy_clausification,[],[f116]) ).
thf(f118,plain,
! [X2: $i > $o,X3: $i,X0: $i > $i > $o,X1: $i,X4: $i] :
( ( ( X0 @ X1 @ X3 )
= $false )
| ( ( ^ [Y0: $i] :
( ( X2 @ Y0 )
| ~ ( X0 @ ( sK0 @ X1 @ X0 @ X2 ) @ Y0 ) )
@ X4 )
= $true )
| ( ( X2 @ X3 )
= $true ) ),
inference(pi_proxy_clausification,[],[f117]) ).
thf(f119,plain,
! [X2: $i > $o,X3: $i,X0: $i > $i > $o,X1: $i,X4: $i] :
( ( ( X0 @ X1 @ X3 )
= $false )
| ( ( ( X2 @ X4 )
| ~ ( X0 @ ( sK0 @ X1 @ X0 @ X2 ) @ X4 ) )
= $true )
| ( ( X2 @ X3 )
= $true ) ),
inference(beta-eta_normalization,[],[f118]) ).
thf(f120,plain,
! [X2: $i > $o,X3: $i,X0: $i > $i > $o,X1: $i,X4: $i] :
( ( ( ~ ( X0 @ ( sK0 @ X1 @ X0 @ X2 ) @ X4 ) )
= $true )
| ( ( X2 @ X4 )
= $true )
| ( ( X0 @ X1 @ X3 )
= $false )
| ( ( X2 @ X3 )
= $true ) ),
inference(or_proxy_clausification,[],[f119]) ).
thf(f121,plain,
! [X2: $i > $o,X3: $i,X0: $i > $i > $o,X1: $i,X4: $i] :
( ( ( X0 @ ( sK0 @ X1 @ X0 @ X2 ) @ X4 )
= $false )
| ( ( X2 @ X3 )
= $true )
| ( ( X2 @ X4 )
= $true )
| ( ( X0 @ X1 @ X3 )
= $false ) ),
inference(not_proxy_clausification,[],[f120]) ).
thf(f157,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( ( ^ [Y0: $i,Y1: $i] : $true
@ ( sK0 @ X1
@ ^ [Y0: $i,Y1: $i] : $true
@ X2 )
@ X4 )
= $false )
| ( ( ^ [Y0: $i,Y1: $i] : $true
@ X1
@ X3 )
= $false )
| ( ( X2 @ X3 )
= $true )
| ( ( X2 @ X4 )
= $true ) ),
inference(primitive_instantiation,[],[f121]) ).
thf(f173,plain,
! [X2: $i > $o,X3: $i,X4: $i] :
( ( ( X2 @ X3 )
= $true )
| ( $false = $true )
| ( ( X2 @ X4 )
= $true )
| ( $false = $true ) ),
inference(beta-eta_normalization,[],[f157]) ).
thf(f174,plain,
! [X2: $i > $o,X3: $i,X4: $i] :
( ( $false = $true )
| ( ( X2 @ X3 )
= $true )
| ( ( X2 @ X4 )
= $true ) ),
inference(duplicate_literal_removal,[],[f173]) ).
thf(f175,plain,
! [X2: $i > $o,X3: $i,X4: $i] :
( ( ( X2 @ X4 )
= $true )
| ( ( X2 @ X3 )
= $true ) ),
inference(trivial_inequality_removal,[],[f174]) ).
thf(f177,plain,
! [X3: $i,X4: $i] :
( ( ( ^ [Y0: $i] : $false
@ X3 )
= $true )
| ( ( ^ [Y0: $i] : $false
@ X4 )
= $true ) ),
inference(primitive_instantiation,[],[f175]) ).
thf(f186,plain,
( ( $false = $true )
| ( $false = $true ) ),
inference(beta-eta_normalization,[],[f177]) ).
thf(f187,plain,
$false = $true,
inference(duplicate_literal_removal,[],[f186]) ).
thf(f188,plain,
$false,
inference(trivial_inequality_removal,[],[f187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO057^2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n016.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 16:30:35 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.21/0.26 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
% 0.63/0.38 % (561551)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.38 % (561558)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3848247800:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.38 % (561558)Instruction limit reached!
% 0.63/0.38 % (561558)------------------------------
% 0.63/0.38 % (561558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38 % (561558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38 % (561558)CaDiCaL version: 2.1.3
% 0.63/0.38 % (561558)Termination reason: Instruction limit
% 0.63/0.38 % (561558)Termination phase: Saturation
% 0.63/0.38 % (561558)Time elapsed: 0.002 s
% 0.63/0.38 % (561558)Peak memory usage: 11 MB
% 0.63/0.38 % (561558)Instructions burned: 7 (million)
% 0.63/0.38 % (561562)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.38 % (561562)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
% 0.63/0.38 % (561557)lrs+10_16_si=on:nwc=1.5:random_seed=3852926519:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.38 % (561556)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2299846450:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.38 % (561559)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=2880612150: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)
% 0.63/0.38 % (561561)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=281739823:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.38 % (561560)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4168239771:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.38 % (561562)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=3517580548:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.38 % (561564)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1946393140:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.38 % (561564)Instruction limit reached!
% 0.63/0.38 % (561564)------------------------------
% 0.63/0.38 % (561564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38 % (561564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38 % (561564)CaDiCaL version: 2.1.3
% 0.63/0.38 % (561564)Termination reason: Instruction limit
% 0.63/0.38 % (561564)Termination phase: Saturation
% 0.63/0.38 % (561564)Time elapsed: 0.002 s
% 0.63/0.38 % (561564)Peak memory usage: 12 MB
% 0.63/0.38 % (561564)Instructions burned: 8 (million)
% 0.63/0.38 % (561557)Instruction limit reached!
% 0.63/0.38 % (561557)------------------------------
% 0.63/0.38 % (561557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38 % (561557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38 % (561557)CaDiCaL version: 2.1.3
% 0.63/0.38 % (561557)Termination reason: Instruction limit
% 0.63/0.38 % (561557)Termination phase: Saturation
% 0.63/0.38 % (561557)Time elapsed: 0.010 s
% 0.63/0.38 % (561557)Peak memory usage: 12 MB
% 0.63/0.38 % (561557)Instructions burned: 18 (million)
% 0.63/0.38 % (561560)Instruction limit reached!
% 0.63/0.38 % (561560)------------------------------
% 0.63/0.38 % (561560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38 % (561560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38 % (561560)CaDiCaL version: 2.1.3
% 0.63/0.38 % (561560)Termination reason: Instruction limit
% 0.63/0.38 % (561560)Termination phase: Saturation
% 0.63/0.38 % (561560)Time elapsed: 0.016 s
% 0.63/0.38 % (561560)Peak memory usage: 11 MB
% 0.63/0.38 % (561560)Instructions burned: 26 (million)
% 0.63/0.38 % (561572)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4173619412:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.38 % (561572)Instruction limit reached!
% 0.63/0.38 % (561572)------------------------------
% 0.63/0.38 % (561572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38 % (561572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38 % (561572)CaDiCaL version: 2.1.3
% 0.63/0.38 % (561572)Termination reason: Instruction limit
% 0.63/0.38 % (561572)Termination phase: Saturation
% 0.63/0.38 % (561572)Time elapsed: 0.002 s
% 0.63/0.38 % (561572)Peak memory usage: 11 MB
% 0.63/0.38 % (561572)Instructions burned: 8 (million)
% 0.63/0.38 % (561573)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.38 % (561576)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
% 0.63/0.38 % (561576)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.38 % (561573)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1169062222:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.38 % (561576)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3184977133:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.38 % (561573)Instruction limit reached!
% 0.63/0.38 % (561573)------------------------------
% 0.63/0.38 % (561573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38 % (561573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38 % (561573)CaDiCaL version: 2.1.3
% 0.63/0.38 % (561573)Termination reason: Instruction limit
% 0.63/0.38 % (561573)Termination phase: Saturation
% 0.63/0.38 % (561573)Time elapsed: 0.004 s
% 0.63/0.38 % (561573)Peak memory usage: 11 MB
% 0.63/0.38 % (561573)Instructions burned: 7 (million)
% 0.63/0.38 % (561574)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4145170342:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.38 % (561561)Instruction limit reached!
% 0.63/0.38 % (561561)------------------------------
% 0.63/0.38 % (561561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38 % (561561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38 % (561561)CaDiCaL version: 2.1.3
% 0.63/0.38 % (561561)Termination reason: Instruction limit
% 0.63/0.38 % (561561)Termination phase: Saturation
% 0.63/0.38 % (561561)Time elapsed: 0.037 s
% 0.63/0.38 % (561561)Peak memory usage: 12 MB
% 0.63/0.38 % (561561)Instructions burned: 76 (million)
% 0.63/0.38 % (561576)Instruction limit reached!
% 0.63/0.38 % (561576)------------------------------
% 0.63/0.38 % (561576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38 % (561576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38 % (561576)CaDiCaL version: 2.1.3
% 0.63/0.38 % (561576)Termination reason: Instruction limit
% 0.63/0.38 % (561576)Termination phase: Saturation
% 0.63/0.38 % (561576)Time elapsed: 0.009 s
% 0.63/0.38 % (561576)Peak memory usage: 12 MB
% 0.63/0.38 % (561576)Instructions burned: 29 (million)
% 0.63/0.38 % (561574)Instruction limit reached!
% 0.63/0.38 % (561574)------------------------------
% 0.63/0.38 % (561574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38 % (561574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38 % (561574)CaDiCaL version: 2.1.3
% 0.63/0.38 % (561574)Termination reason: Instruction limit
% 0.63/0.38 % (561574)Termination phase: Saturation
% 0.63/0.38 % (561574)Time elapsed: 0.007 s
% 0.63/0.38 % (561574)Peak memory usage: 12 MB
% 0.63/0.38 % (561574)Instructions burned: 12 (million)
% 0.63/0.38 % (561556)Instruction limit reached!
% 0.63/0.38 % (561556)------------------------------
% 0.63/0.38 % (561556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38 % (561556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38 % (561556)CaDiCaL version: 2.1.3
% 0.63/0.38 % (561556)Termination reason: Instruction limit
% 0.63/0.38 % (561556)Termination phase: Saturation
% 0.63/0.38 % (561556)Time elapsed: 0.056 s
% 0.63/0.38 % (561556)Peak memory usage: 12 MB
% 0.63/0.38 % (561556)Instructions burned: 88 (million)
% 0.63/0.38 % (561583)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1265484467:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.63/0.38 % (561581)lrs+10_1_si=on:cs=on:random_seed=882021509:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.63/0.38 % (561583) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-561551-561583"...
% 0.63/0.38 % (561580)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=1257629835:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.38 % (561583)...printing done.
% 0.63/0.38 % (561581)Instruction limit reached!
% 0.63/0.38 % (561581)------------------------------
% 0.63/0.38 % (561581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38 % (561581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38 % (561581)CaDiCaL version: 2.1.3
% 0.63/0.38 % (561581)Termination reason: Instruction limit
% 0.63/0.38 % (561581)Termination phase: Saturation
% 0.63/0.38 % (561581)Time elapsed: 0.004 s
% 0.63/0.38 % (561581)Peak memory usage: 11 MB
% 0.63/0.38 % (561581)Instructions burned: 9 (million)
% 0.63/0.38 % (561583)Refutation found. Thanks to Tanya!
% 0.63/0.38 % SZS status Theorem for theBenchmark
% 0.63/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.63/0.38 % (561583)------------------------------
% 0.63/0.38 % (561583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38 % (561583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38 % (561583)CaDiCaL version: 2.1.3
% 0.63/0.38 % (561583)Termination reason: Refutation
% 0.63/0.38 % (561583)Time elapsed: 0.005 s
% 0.63/0.38 % (561583)Peak memory usage: 13 MB
% 0.63/0.38 % (561583)Instructions burned: 16 (million)
% 0.63/0.38 % (561551)Success in time 0.106 s
% 0.63/0.38 % Vampire exiting
%------------------------------------------------------------------------------