%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL861^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 08:14:37 AM UTC 2026
% Result : Theorem 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 128 ( 33 unt; 0 typ; 13 def)
% Number of atoms : 861 ( 186 equ; 0 cnn)
% Maximal formula atoms : 10 ( 6 avg)
% Number of connectives : 968 ( 115 ~; 153 |; 61 &; 522 @)
% ( 14 <=>; 32 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 72 ( 72 >; 0 *; 0 +; 0 <<)
% Number of symbols : 66 ( 62 usr; 19 con; 0-4 aty)
% ( 70 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 159 ( 0 sgn 50 !; 3 ?; 159 :)
% 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,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_33,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_34,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_37,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_38,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_39,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_40,type,
vNOT: $o > $o ).
thf(func_def_41,type,
vIMP: $o > $o > $o ).
thf(func_def_42,type,
vAND: $o > $o > $o ).
thf(func_def_43,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_44,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_45,type,
vOR: $o > $o > $o ).
thf(func_def_46,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_47,type,
sK0: $i > $i > $o ).
thf(func_def_48,type,
sF1: $o ).
thf(func_def_49,type,
sF2: $o ).
thf(func_def_50,type,
sF3: $o ).
thf(f18,axiom,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i] : ( X0 @ X1 @ X1 ) )
= mreflexive ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mreflexive) ).
thf(f21,axiom,
( ( ^ [X0: $i > $i > $o] :
! [X2: $i,X3: $i,X1: $i] :
( ( ( X0 @ X1 @ X2 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X1 @ X3 ) ) )
= mtransitive ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mtransitive) ).
thf(f22,axiom,
( ( ^ [X0: $i > $i > $o] :
! [X3: $i,X1: $i,X2: $i] :
( ( ( X0 @ X1 @ X2 )
& ( X0 @ X1 @ X3 ) )
=> ( X0 @ X2 @ X3 ) ) )
= meuclidean ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',meuclidean) ).
thf(f32,conjecture,
! [X0: $i > $i > $o] :
( ( ( mreflexive @ X0 )
& ( meuclidean @ X0 ) )
<=> ( ( mreflexive @ X0 )
& ( mtransitive @ X0 )
& ( meuclidean @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(f33,negated_conjecture,
~ ! [X0: $i > $i > $o] :
( ( ( mreflexive @ X0 )
& ( meuclidean @ X0 ) )
<=> ( ( mreflexive @ X0 )
& ( mtransitive @ X0 )
& ( meuclidean @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
thf(f42,plain,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i,X3: $i] :
( ( ( X0 @ X3 @ X1 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X3 @ X2 ) ) )
= mtransitive ),
inference(rectify,[],[f21]) ).
thf(f43,plain,
( mtransitive
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f42]) ).
thf(f44,plain,
~ ! [X0: $i > $i > $o] :
( ( ( mreflexive @ X0 )
& ( meuclidean @ X0 ) )
<=> ( ( mreflexive @ X0 )
& ( mtransitive @ X0 )
& ( meuclidean @ X0 ) ) ),
inference(rectify,[],[f33]) ).
thf(f45,plain,
~ ! [X0: $i > $i > $o] :
( ( ( ( meuclidean @ X0 )
= $true )
& ( ( mtransitive @ X0 )
= $true )
& ( ( mreflexive @ X0 )
= $true ) )
<=> ( ( ( mreflexive @ X0 )
= $true )
& ( ( meuclidean @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f44]) ).
thf(f58,plain,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i] : ( X0 @ X1 @ X1 ) )
= mreflexive ),
inference(rectify,[],[f18]) ).
thf(f59,plain,
( mreflexive
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f58]) ).
thf(f69,plain,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i,X3: $i] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X2 @ X1 ) )
=> ( X0 @ X3 @ X1 ) ) )
= meuclidean ),
inference(rectify,[],[f22]) ).
thf(f70,plain,
( meuclidean
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f69]) ).
thf(f87,plain,
? [X0: $i > $i > $o] :
( ( ( ( mreflexive @ X0 )
= $true )
& ( ( meuclidean @ X0 )
= $true ) )
<~> ( ( ( meuclidean @ X0 )
= $true )
& ( ( mtransitive @ X0 )
= $true )
& ( ( mreflexive @ X0 )
= $true ) ) ),
inference(ennf_transformation,[],[f45]) ).
thf(f88,plain,
? [X0: $i > $i > $o] :
( ( ( ( meuclidean @ X0 )
!= $true )
| ( ( mtransitive @ X0 )
!= $true )
| ( ( mreflexive @ X0 )
!= $true )
| ( ( mreflexive @ X0 )
!= $true )
| ( ( meuclidean @ X0 )
!= $true ) )
& ( ( ( ( meuclidean @ X0 )
= $true )
& ( ( mtransitive @ X0 )
= $true )
& ( ( mreflexive @ X0 )
= $true ) )
| ( ( ( mreflexive @ X0 )
= $true )
& ( ( meuclidean @ X0 )
= $true ) ) ) ),
inference(nnf_transformation,[],[f87]) ).
thf(f89,plain,
? [X0: $i > $i > $o] :
( ( ( ( meuclidean @ X0 )
!= $true )
| ( ( mtransitive @ X0 )
!= $true )
| ( ( mreflexive @ X0 )
!= $true )
| ( ( mreflexive @ X0 )
!= $true )
| ( ( meuclidean @ X0 )
!= $true ) )
& ( ( ( ( meuclidean @ X0 )
= $true )
& ( ( mtransitive @ X0 )
= $true )
& ( ( mreflexive @ X0 )
= $true ) )
| ( ( ( mreflexive @ X0 )
= $true )
& ( ( meuclidean @ X0 )
= $true ) ) ) ),
inference(flattening,[],[f88]) ).
thf(f90,plain,
( ( ( ( meuclidean @ sK0 )
!= $true )
| ( $true
!= ( mtransitive @ sK0 ) )
| ( $true
!= ( mreflexive @ sK0 ) )
| ( $true
!= ( mreflexive @ sK0 ) )
| ( ( meuclidean @ sK0 )
!= $true ) )
& ( ( ( ( meuclidean @ sK0 )
= $true )
& ( $true
= ( mtransitive @ sK0 ) )
& ( $true
= ( mreflexive @ sK0 ) ) )
| ( ( $true
= ( mreflexive @ sK0 ) )
& ( ( meuclidean @ sK0 )
= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f89]) ).
thf(f93,plain,
( ( $true
= ( mreflexive @ sK0 ) )
| ( $true
= ( mreflexive @ sK0 ) ) ),
inference(cnf_transformation,[],[f90]) ).
thf(f96,plain,
( ( ( meuclidean @ sK0 )
= $true )
| ( ( meuclidean @ sK0 )
= $true ) ),
inference(cnf_transformation,[],[f90]) ).
thf(f98,plain,
( ( ( meuclidean @ sK0 )
!= $true )
| ( $true
!= ( mtransitive @ sK0 ) )
| ( $true
!= ( mreflexive @ sK0 ) )
| ( $true
!= ( mreflexive @ sK0 ) )
| ( ( meuclidean @ sK0 )
!= $true ) ),
inference(cnf_transformation,[],[f90]) ).
thf(f101,plain,
( meuclidean
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f70]) ).
thf(f109,plain,
( mreflexive
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f59]) ).
thf(f128,plain,
( mtransitive
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f43]) ).
thf(f140,plain,
( ( $true
!= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
@ sK0 ) )
| ( $true
!= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
@ sK0 ) )
| ( $true
!= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
@ sK0 ) )
| ( $true
!= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
@ sK0 ) )
| ( $true
!= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
@ sK0 ) ) ),
inference(definition_unfolding,[],[f98,f101,f128,f109,f109,f101]) ).
thf(f142,plain,
( ( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
@ sK0 ) )
| ( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
@ sK0 ) ) ),
inference(definition_unfolding,[],[f96,f101,f101]) ).
thf(f145,plain,
( ( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
@ sK0 ) )
| ( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
@ sK0 ) ) ),
inference(definition_unfolding,[],[f93,f109,f109]) ).
thf(f147,definition,
( sF1
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
@ sK0 ) ),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
thf(f148,plain,
( ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
@ sK0 )
= sF1 ),
inference(reorient_equations,[],[f147]) ).
thf(f149,definition,
( sF2
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
@ sK0 ) ),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
thf(f150,definition,
( sF3
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
@ sK0 ) ),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
thf(f151,plain,
( ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
@ sK0 )
= sF3 ),
inference(reorient_equations,[],[f150]) ).
thf(f152,plain,
( ( $true != sF3 )
| ( $true != sF1 )
| ( sF2 != $true )
| ( $true != sF1 )
| ( $true != sF3 ) ),
inference(definition_folding,[],[f140,f148,f151,f151,f149,f148]) ).
thf(f154,plain,
( ( $true = sF1 )
| ( $true = sF1 ) ),
inference(definition_folding,[],[f142,f148,f148]) ).
thf(f157,plain,
( ( $true = sF3 )
| ( $true = sF3 ) ),
inference(definition_folding,[],[f145,f151,f151]) ).
thf(f159,plain,
( ( $false = sF1 )
| ( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
@ sK0 ) ) ),
inference(iff_proxy_clausification,[],[f148]) ).
thf(f172,plain,
( ( $false = sF1 )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y1 @ Y2 )
& ( sK0 @ Y1 @ Y0 ) )
=> ( sK0 @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f159]) ).
thf(f173,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y1 @ Y2 )
& ( sK0 @ Y1 @ Y0 ) )
=> ( sK0 @ Y0 @ Y2 ) ) ) )
@ X1 )
= $true )
| ( $false = sF1 ) ),
inference(pi_proxy_clausification,[],[f172]) ).
thf(f174,plain,
! [X1: $i] :
( ( $false = sF1 )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y0 @ Y1 )
& ( sK0 @ Y0 @ X1 ) )
=> ( sK0 @ X1 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f173]) ).
thf(f175,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y0 @ Y1 )
& ( sK0 @ Y0 @ X1 ) )
=> ( sK0 @ X1 @ Y1 ) ) )
@ X2 ) )
| ( $false = sF1 ) ),
inference(pi_proxy_clausification,[],[f174]) ).
thf(f176,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ X2 @ Y0 )
& ( sK0 @ X2 @ X1 ) )
=> ( sK0 @ X1 @ Y0 ) ) ) )
| ( $false = sF1 ) ),
inference(beta-eta_normalization,[],[f175]) ).
thf(f177,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( ( sK0 @ X2 @ Y0 )
& ( sK0 @ X2 @ X1 ) )
=> ( sK0 @ X1 @ Y0 ) )
@ X3 )
= $true )
| ( $false = sF1 ) ),
inference(pi_proxy_clausification,[],[f176]) ).
thf(f178,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ( ( sK0 @ X2 @ X3 )
& ( sK0 @ X2 @ X1 ) )
=> ( sK0 @ X1 @ X3 ) ) )
| ( $false = sF1 ) ),
inference(beta-eta_normalization,[],[f177]) ).
thf(f179,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false = sF1 )
| ( $true
= ( sK0 @ X1 @ X3 ) )
| ( $false
= ( ( sK0 @ X2 @ X3 )
& ( sK0 @ X2 @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f178]) ).
thf(f180,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( sK0 @ X2 @ X3 ) )
| ( $true
= ( sK0 @ X1 @ X3 ) )
| ( ( sK0 @ X2 @ X1 )
= $false )
| ( $false = sF1 ) ),
inference(and_proxy_clausification,[],[f179]) ).
thf(f181,plain,
( ( $true != sF3 )
| ( sF2 != $true )
| ( $true != sF1 ) ),
inference(duplicate_literal_removal,[],[f152]) ).
thf(f182,plain,
( ( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
@ sK0 ) )
| ( $false = sF3 ) ),
inference(iff_proxy_clausification,[],[f151]) ).
thf(f187,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( sK0 @ Y0 @ Y0 ) ) )
| ( $false = sF3 ) ),
inference(beta-eta_normalization,[],[f182]) ).
thf(f188,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] : ( sK0 @ Y0 @ Y0 )
@ X1 ) )
| ( $false = sF3 ) ),
inference(pi_proxy_clausification,[],[f187]) ).
thf(f189,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ X1 @ X1 ) )
| ( $false = sF3 ) ),
inference(beta-eta_normalization,[],[f188]) ).
thf(f190,plain,
$true = sF3,
inference(duplicate_literal_removal,[],[f157]) ).
thf(f191,plain,
$true = sF1,
inference(duplicate_literal_removal,[],[f154]) ).
thf(f192,plain,
( ( sF2 = $true )
| ( ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
@ sK0 )
= $false ) ),
inference(iff_proxy_clausification,[],[f149]) ).
thf(f203,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y0 @ Y2 ) )
=> ( sK0 @ Y0 @ Y1 ) ) ) ) )
= $false )
| ( sF2 = $true ) ),
inference(beta-eta_normalization,[],[f192]) ).
thf(f204,plain,
( ( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y0 @ Y2 ) )
=> ( sK0 @ Y0 @ Y1 ) ) ) )
@ sK8 )
= $false )
| ( sF2 = $true ) ),
inference(sigma_proxy_clausification,[],[f203]) ).
thf(f205,plain,
( ( sF2 = $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ sK8 @ Y1 ) )
=> ( sK0 @ sK8 @ Y0 ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f204]) ).
thf(f206,plain,
( ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ sK8 @ Y1 ) )
=> ( sK0 @ sK8 @ Y0 ) ) )
@ sK9 ) )
| ( sF2 = $true ) ),
inference(sigma_proxy_clausification,[],[f205]) ).
thf(f207,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK9 )
& ( sK0 @ sK8 @ Y0 ) )
=> ( sK0 @ sK8 @ sK9 ) ) ) )
| ( sF2 = $true ) ),
inference(beta-eta_normalization,[],[f206]) ).
thf(f208,plain,
( ( sF2 = $true )
| ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK9 )
& ( sK0 @ sK8 @ Y0 ) )
=> ( sK0 @ sK8 @ sK9 ) )
@ sK10 ) ) ),
inference(sigma_proxy_clausification,[],[f207]) ).
thf(f209,plain,
( ( ( ( ( sK0 @ sK10 @ sK9 )
& ( sK0 @ sK8 @ sK10 ) )
=> ( sK0 @ sK8 @ sK9 ) )
= $false )
| ( sF2 = $true ) ),
inference(beta-eta_normalization,[],[f208]) ).
thf(f210,plain,
( ( sF2 = $true )
| ( ( sK0 @ sK8 @ sK9 )
= $false ) ),
inference(imp_proxy_clausification,[],[f209]) ).
thf(f211,plain,
( ( $true
= ( ( sK0 @ sK10 @ sK9 )
& ( sK0 @ sK8 @ sK10 ) ) )
| ( sF2 = $true ) ),
inference(imp_proxy_clausification,[],[f209]) ).
thf(f212,plain,
( ( $true
= ( sK0 @ sK8 @ sK10 ) )
| ( sF2 = $true ) ),
inference(and_proxy_clausification,[],[f211]) ).
thf(f213,plain,
( ( sF2 = $true )
| ( $true
= ( sK0 @ sK10 @ sK9 ) ) ),
inference(and_proxy_clausification,[],[f211]) ).
thf(f219,definition,
( spl11_2
<=> ( $true = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
thf(f221,plain,
( ( $true = sF1 )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f219]) ).
thf(f234,definition,
( spl11_5
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( $false
= ( sK0 @ X2 @ X3 ) )
| ( ( sK0 @ X2 @ X1 )
= $false )
| ( $true
= ( sK0 @ X1 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
thf(f235,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( sK0 @ X1 @ X3 ) )
| ( ( sK0 @ X2 @ X1 )
= $false )
| ( $false
= ( sK0 @ X2 @ X3 ) ) )
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f234]) ).
thf(f237,definition,
( spl11_6
<=> ( $false = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
thf(f239,plain,
( ( $false = sF1 )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f237]) ).
thf(f240,plain,
( spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f180,f237,f234]) ).
thf(f242,definition,
( spl11_7
<=> ( sF2 = $true ) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
thf(f246,definition,
( spl11_8
<=> ( $true = sF3 ) ),
introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).
thf(f247,plain,
( ( $true = sF3 )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f246]) ).
thf(f249,plain,
( ~ spl11_7
| ~ spl11_8
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f181,f219,f246,f242]) ).
thf(f257,definition,
( spl11_10
<=> ( $false = sF3 ) ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
thf(f259,plain,
( ( $false = sF3 )
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f257]) ).
thf(f261,definition,
( spl11_11
<=> ! [X1: $i] :
( $true
= ( sK0 @ X1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
thf(f262,plain,
( ! [X1: $i] :
( $true
= ( sK0 @ X1 @ X1 ) )
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f261]) ).
thf(f263,plain,
( spl11_10
| spl11_11 ),
inference(avatar_split_clause,[],[f189,f261,f257]) ).
thf(f264,plain,
spl11_8,
inference(avatar_split_clause,[],[f190,f246]) ).
thf(f265,plain,
spl11_2,
inference(avatar_split_clause,[],[f191,f219]) ).
thf(f277,definition,
( spl11_14
<=> ( $true
= ( sK0 @ sK10 @ sK9 ) ) ),
introduced(definition,[new_symbols(definition,[spl11_14])],[avatar_definition]) ).
thf(f279,plain,
( ( $true
= ( sK0 @ sK10 @ sK9 ) )
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f277]) ).
thf(f280,plain,
( spl11_7
| spl11_14 ),
inference(avatar_split_clause,[],[f213,f277,f242]) ).
thf(f282,definition,
( spl11_15
<=> ( $true
= ( sK0 @ sK8 @ sK10 ) ) ),
introduced(definition,[new_symbols(definition,[spl11_15])],[avatar_definition]) ).
thf(f284,plain,
( ( $true
= ( sK0 @ sK8 @ sK10 ) )
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f282]) ).
thf(f285,plain,
( spl11_7
| spl11_15 ),
inference(avatar_split_clause,[],[f212,f282,f242]) ).
thf(f287,definition,
( spl11_16
<=> ( ( sK0 @ sK8 @ sK9 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl11_16])],[avatar_definition]) ).
thf(f289,plain,
( ( ( sK0 @ sK8 @ sK9 )
= $false )
| ~ spl11_16 ),
inference(avatar_component_clause,[],[f287]) ).
thf(f290,plain,
( spl11_16
| spl11_7 ),
inference(avatar_split_clause,[],[f210,f242,f287]) ).
thf(f292,plain,
( ( $true = $false )
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f259,f247]) ).
thf(f293,plain,
( $false
| ~ spl11_8
| ~ spl11_10 ),
inference(trivial_inequality_removal,[],[f292]) ).
thf(f294,plain,
( ~ spl11_8
| ~ spl11_10 ),
inference(avatar_contradiction_clause,[],[f293]) ).
thf(f311,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $false
= ( sK0 @ X0 @ sK9 ) )
| ( $false
= ( sK0 @ X0 @ sK8 ) ) )
| ~ spl11_5
| ~ spl11_16 ),
inference(constrained_superposition,[],[f289,f235]) ).
thf(f314,plain,
( ! [X0: $i] :
( ( $false
= ( sK0 @ X0 @ sK9 ) )
| ( $false
= ( sK0 @ X0 @ sK8 ) ) )
| ~ spl11_5
| ~ spl11_16 ),
inference(trivial_inequality_removal,[],[f311]) ).
thf(f323,plain,
( ( $true = $false )
| ( $false
= ( sK0 @ sK10 @ sK8 ) )
| ~ spl11_5
| ~ spl11_14
| ~ spl11_16 ),
inference(constrained_superposition,[],[f279,f314]) ).
thf(f328,plain,
( ( $false
= ( sK0 @ sK10 @ sK8 ) )
| ~ spl11_5
| ~ spl11_14
| ~ spl11_16 ),
inference(trivial_inequality_removal,[],[f323]) ).
thf(f339,plain,
( ! [X0: $i] :
( ( $false
= ( sK0 @ X0 @ sK8 ) )
| ( $true = $false )
| ( $false
= ( sK0 @ X0 @ sK10 ) ) )
| ~ spl11_5
| ~ spl11_14
| ~ spl11_16 ),
inference(constrained_superposition,[],[f235,f328]) ).
thf(f340,plain,
( ! [X0: $i] :
( ( $false
= ( sK0 @ X0 @ sK10 ) )
| ( $false
= ( sK0 @ X0 @ sK8 ) ) )
| ~ spl11_5
| ~ spl11_14
| ~ spl11_16 ),
inference(trivial_inequality_removal,[],[f339]) ).
thf(f345,plain,
( ( $true = $false )
| ( $false
= ( sK0 @ sK8 @ sK8 ) )
| ~ spl11_5
| ~ spl11_14
| ~ spl11_15
| ~ spl11_16 ),
inference(constrained_superposition,[],[f340,f284]) ).
thf(f354,plain,
( ( $false
= ( sK0 @ sK8 @ sK8 ) )
| ~ spl11_5
| ~ spl11_14
| ~ spl11_15
| ~ spl11_16 ),
inference(trivial_inequality_removal,[],[f345]) ).
thf(f360,plain,
( ( $true = $false )
| ~ spl11_5
| ~ spl11_11
| ~ spl11_14
| ~ spl11_15
| ~ spl11_16 ),
inference(forward_demodulation,[],[f354,f262]) ).
thf(f361,plain,
( $false
| ~ spl11_5
| ~ spl11_11
| ~ spl11_14
| ~ spl11_15
| ~ spl11_16 ),
inference(trivial_inequality_removal,[],[f360]) ).
thf(f362,plain,
( ~ spl11_5
| ~ spl11_11
| ~ spl11_14
| ~ spl11_15
| ~ spl11_16 ),
inference(avatar_contradiction_clause,[],[f361]) ).
thf(f363,plain,
( ( $true = $false )
| ~ spl11_2
| ~ spl11_6 ),
inference(forward_demodulation,[],[f239,f221]) ).
thf(f364,plain,
( $false
| ~ spl11_2
| ~ spl11_6 ),
inference(trivial_inequality_removal,[],[f363]) ).
thf(f365,plain,
( ~ spl11_2
| ~ spl11_6 ),
inference(avatar_contradiction_clause,[],[f364]) ).
cnf(s4,plain,
( spl11_5
| spl11_6 ),
inference(sat_conversion,[],[f240]) ).
cnf(s5,plain,
( ~ spl11_2
| ~ spl11_7
| ~ spl11_8 ),
inference(sat_conversion,[],[f249]) ).
cnf(s8,plain,
( spl11_10
| spl11_11 ),
inference(sat_conversion,[],[f263]) ).
cnf(s9,plain,
spl11_8,
inference(sat_conversion,[],[f264]) ).
cnf(s10,plain,
spl11_2,
inference(sat_conversion,[],[f265]) ).
cnf(s14,plain,
( spl11_7
| spl11_14 ),
inference(sat_conversion,[],[f280]) ).
cnf(s15,plain,
( spl11_7
| spl11_15 ),
inference(sat_conversion,[],[f285]) ).
cnf(s16,plain,
( spl11_7
| spl11_16 ),
inference(sat_conversion,[],[f290]) ).
cnf(s18,plain,
( ~ spl11_8
| ~ spl11_10 ),
inference(sat_conversion,[],[f294]) ).
cnf(s20,plain,
( ~ spl11_5
| ~ spl11_11
| ~ spl11_14
| ~ spl11_15
| ~ spl11_16 ),
inference(sat_conversion,[],[f362]) ).
cnf(s21,plain,
( ~ spl11_2
| ~ spl11_6 ),
inference(sat_conversion,[],[f365]) ).
cnf(s22,plain,
~ spl11_6,
inference(rat,[],[s21,s10]) ).
cnf(s23,plain,
~ spl11_10,
inference(rat,[],[s18,s9]) ).
cnf(s24,plain,
spl11_11,
inference(rat,[],[s8,s23]) ).
cnf(s25,plain,
~ spl11_7,
inference(rat,[],[s5,s9,s10]) ).
cnf(s26,plain,
spl11_16,
inference(rat,[],[s16,s25]) ).
cnf(s27,plain,
spl11_15,
inference(rat,[],[s15,s25]) ).
cnf(s28,plain,
spl11_14,
inference(rat,[],[s14,s25]) ).
cnf(s29,plain,
~ spl11_5,
inference(rat,[],[s20,s26,s27,s24,s28]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s4,s22,s29]) ).
thf(f366,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL861^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n005.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 10:12:40 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.23 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
% 0.20/0.29 % (1473337)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.29 % (1473345)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=3779199058: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)
% 0.20/0.29 % (1473348)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.29 % (1473348)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
% 0.20/0.29 % (1473342)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=43268717:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.29 % (1473347)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3915492834:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.29 % (1473343)lrs+10_16_si=on:nwc=1.5:random_seed=420183650:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.29 % (1473344)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2271399837:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.29 % (1473346)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2795813101:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.29 % (1473348)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=2163576437:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.29 % (1473344)Instruction limit reached!
% 0.20/0.29 % (1473344)------------------------------
% 0.20/0.29 % (1473344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (1473344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (1473344)CaDiCaL version: 2.1.3
% 0.20/0.29 % (1473344)Termination reason: Instruction limit
% 0.20/0.29 % (1473344)Termination phase: Property scanning
% 0.20/0.29 % (1473344)Time elapsed: 0.002 s
% 0.20/0.29 % (1473344)Peak memory usage: 10 MB
% 0.20/0.29 % (1473344)Instructions burned: 4 (million)
% 0.20/0.29 % (1473348) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1473337-1473348"...
% 0.20/0.29 % (1473343)Instruction limit reached!
% 0.20/0.29 % (1473343)------------------------------
% 0.20/0.29 % (1473343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (1473343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (1473343)CaDiCaL version: 2.1.3
% 0.20/0.29 % (1473343)Termination reason: Instruction limit
% 0.20/0.29 % (1473343)Termination phase: Saturation
% 0.20/0.29 % (1473343)Time elapsed: 0.009 s
% 0.20/0.29 % (1473343)Peak memory usage: 12 MB
% 0.20/0.29 % (1473343)Instructions burned: 18 (million)
% 0.20/0.29 % (1473342) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1473337-1473342"...
% 0.20/0.29 % (1473348)...printing done.
% 0.20/0.29 % (1473348)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (1473348)------------------------------
% 0.20/0.29 % (1473348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (1473348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (1473348)CaDiCaL version: 2.1.3
% 0.20/0.29 % (1473348)Termination reason: Refutation
% 0.20/0.29 % (1473348)Time elapsed: 0.011 s
% 0.20/0.29 % (1473348)Peak memory usage: 13 MB
% 0.20/0.29 % (1473348)Instructions burned: 19 (million)
% 0.20/0.29 % (1473337)Success in time 0.047 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------