%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP012^3 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 08:07:44 AM UTC 2026
% Result : Theorem 0.73s 0.37s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 59 ( 11 unt; 0 typ; 4 def)
% Number of atoms : 231 ( 61 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 338 ( 44 ~; 39 |; 6 &; 238 @)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 44 ( 41 usr; 11 con; 0-4 aty)
% Number of variables : 50 ( 0 sgn 44 !; 6 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
tyop_2Einteger_2Eint: $tType ).
thf(type_def_6,type,
tyop_2Emin_2Ebool: $tType ).
thf(type_def_7,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
thf(type_def_8,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
c_2Ebool_2E_21:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_1,type,
c_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_2,type,
c_2Emin_2E_3D:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_3,type,
c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_4,type,
c_2Ebool_2E_3F:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_5,type,
c_2Ebool_2EF: $o ).
thf(func_def_6,type,
c_2Ebool_2ET: $o ).
thf(func_def_7,type,
c_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_8,type,
c_2Einteger_2Eint__add: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint > tyop_2Einteger_2Eint ).
thf(func_def_9,type,
c_2Einteger_2Eint__divides: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint > $o ).
thf(func_def_10,type,
c_2Einteger_2Eint__neg: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint ).
thf(func_def_11,type,
c_2Einteger_2Eint__sub: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint > tyop_2Einteger_2Eint ).
thf(func_def_12,type,
c_2Ebool_2E_7E: $o > $o ).
thf(func_def_14,type,
vNOT: $o > $o ).
thf(func_def_15,type,
vOR: $o > $o > $o ).
thf(func_def_18,type,
vAND: $o > $o > $o ).
thf(func_def_19,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_20,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_21,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_22,type,
sP0: $o > $o > $o > $o ).
thf(func_def_23,type,
sP1: $o > $o > $o > $o ).
thf(func_def_24,type,
sP2: $o > $o > $o > $o ).
thf(func_def_25,type,
sP3: $o > $o > $o > $o ).
thf(func_def_26,type,
sP4: $o > $o > $o > $o ).
thf(func_def_27,type,
sP5: $o > $o > $o > $o ).
thf(func_def_28,type,
sP6: $o > $o > $o > $o ).
thf(func_def_29,type,
sP7: $o > $o > $o > $o ).
thf(func_def_30,type,
sP8: $o > $o > $o > $o ).
thf(func_def_31,type,
sP9: $o > $o > $o > $o ).
thf(func_def_32,type,
sK10:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_33,type,
sK11:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_34,type,
sK12:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_35,type,
sK13: tyop_2Einteger_2Eint ).
thf(func_def_36,type,
sK14: tyop_2Einteger_2Eint ).
thf(func_def_37,type,
sK15: tyop_2Einteger_2Eint ).
thf(f20,axiom,
! [X1: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__sub @ X0 @ X1 )
= ( c_2Einteger_2Eint__add @ X0 @ ( c_2Einteger_2Eint__neg @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2Eint__sub) ).
thf(f21,axiom,
! [X2: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
=> ( ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__add @ X2 @ X1 ) )
= ( c_2Einteger_2Eint__divides @ X0 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RADD) ).
thf(f22,axiom,
! [X1: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ ( c_2Einteger_2Eint__neg @ X0 ) @ X1 )
= ( c_2Einteger_2Eint__divides @ X0 @ X1 ) )
& ( ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__neg @ X1 ) )
= ( c_2Einteger_2Eint__divides @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__NEG) ).
thf(f33,conjecture,
! [X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
=> ( ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__sub @ X2 @ X1 ) )
= ( c_2Einteger_2Eint__divides @ X0 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
thf(f34,negated_conjecture,
~ ! [X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
=> ( ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__sub @ X2 @ X1 ) )
= ( c_2Einteger_2Eint__divides @ X0 @ X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
thf(f75,plain,
~ ! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__divides @ X2 @ X0 )
=> ( ( c_2Einteger_2Eint__divides @ X2 @ X1 )
= ( c_2Einteger_2Eint__divides @ X2 @ ( c_2Einteger_2Eint__sub @ X1 @ X0 ) ) ) ),
inference(rectify,[],[f34]) ).
thf(f76,plain,
~ ! [X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X2 @ X0 )
= $true )
=> ( ( c_2Einteger_2Eint__divides @ X2 @ X1 )
= ( c_2Einteger_2Eint__divides @ X2 @ ( c_2Einteger_2Eint__sub @ X1 @ X0 ) ) ) ),
inference(fool_elimination,[],[f75]) ).
thf(f81,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__divides @ X1 @ X2 )
=> ( ( c_2Einteger_2Eint__divides @ X1 @ ( c_2Einteger_2Eint__add @ X0 @ X2 ) )
= ( c_2Einteger_2Eint__divides @ X1 @ X0 ) ) ),
inference(rectify,[],[f21]) ).
thf(f82,plain,
! [X2: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( $true
= ( c_2Einteger_2Eint__divides @ X1 @ X2 ) )
=> ( ( c_2Einteger_2Eint__divides @ X1 @ ( c_2Einteger_2Eint__add @ X0 @ X2 ) )
= ( c_2Einteger_2Eint__divides @ X1 @ X0 ) ) ),
inference(fool_elimination,[],[f81]) ).
thf(f97,plain,
! [X1: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X1 @ ( c_2Einteger_2Eint__neg @ X0 ) )
= ( c_2Einteger_2Eint__divides @ X1 @ X0 ) )
& ( ( c_2Einteger_2Eint__divides @ ( c_2Einteger_2Eint__neg @ X1 ) @ X0 )
= ( c_2Einteger_2Eint__divides @ X1 @ X0 ) ) ),
inference(rectify,[],[f22]) ).
thf(f101,plain,
! [X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X1 @ ( c_2Einteger_2Eint__add @ X0 @ X2 ) )
= ( c_2Einteger_2Eint__divides @ X1 @ X0 ) )
| ( $true
!= ( c_2Einteger_2Eint__divides @ X1 @ X2 ) ) ),
inference(ennf_transformation,[],[f82]) ).
thf(f102,plain,
? [X1: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X2 @ X0 )
= $true )
& ( ( c_2Einteger_2Eint__divides @ X2 @ X1 )
!= ( c_2Einteger_2Eint__divides @ X2 @ ( c_2Einteger_2Eint__sub @ X1 @ X0 ) ) ) ),
inference(ennf_transformation,[],[f76]) ).
thf(f131,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__add @ X2 @ X1 ) )
= ( c_2Einteger_2Eint__divides @ X0 @ X2 ) )
| ( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
!= $true ) ),
inference(rectify,[],[f101]) ).
thf(f165,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__add @ X1 @ ( c_2Einteger_2Eint__neg @ X0 ) )
= ( c_2Einteger_2Eint__sub @ X1 @ X0 ) ),
inference(rectify,[],[f20]) ).
thf(f171,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
= ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__neg @ X1 ) ) )
& ( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
= ( c_2Einteger_2Eint__divides @ ( c_2Einteger_2Eint__neg @ X0 ) @ X1 ) ) ),
inference(rectify,[],[f97]) ).
thf(f172,plain,
? [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X2 @ X1 )
= $true )
& ( ( c_2Einteger_2Eint__divides @ X2 @ ( c_2Einteger_2Eint__sub @ X0 @ X1 ) )
!= ( c_2Einteger_2Eint__divides @ X2 @ X0 ) ) ),
inference(rectify,[],[f102]) ).
thf(f173,plain,
( ( $true
= ( c_2Einteger_2Eint__divides @ sK15 @ sK14 ) )
& ( ( c_2Einteger_2Eint__divides @ sK15 @ ( c_2Einteger_2Eint__sub @ sK13 @ sK14 ) )
!= ( c_2Einteger_2Eint__divides @ sK15 @ sK13 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15)],[f172]) ).
thf(f201,plain,
! [X2: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__add @ X2 @ X1 ) )
= ( c_2Einteger_2Eint__divides @ X0 @ X2 ) )
| ( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f131]) ).
thf(f265,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__add @ X1 @ ( c_2Einteger_2Eint__neg @ X0 ) )
= ( c_2Einteger_2Eint__sub @ X1 @ X0 ) ),
inference(cnf_transformation,[],[f165]) ).
thf(f276,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__divides @ X0 @ X1 )
= ( c_2Einteger_2Eint__divides @ X0 @ ( c_2Einteger_2Eint__neg @ X1 ) ) ),
inference(cnf_transformation,[],[f171]) ).
thf(f277,plain,
( ( c_2Einteger_2Eint__divides @ sK15 @ ( c_2Einteger_2Eint__sub @ sK13 @ sK14 ) )
!= ( c_2Einteger_2Eint__divides @ sK15 @ sK13 ) ),
inference(cnf_transformation,[],[f173]) ).
thf(f278,plain,
( $true
= ( c_2Einteger_2Eint__divides @ sK15 @ sK14 ) ),
inference(cnf_transformation,[],[f173]) ).
thf(f357,plain,
( ( ( c_2Einteger_2Eint__divides @ sK15 @ sK13 )
= $true )
| ( ( c_2Einteger_2Eint__divides @ sK15 @ ( c_2Einteger_2Eint__sub @ sK13 @ sK14 ) )
= $true ) ),
inference(xor_proxy_clausification,[],[f277]) ).
thf(f358,plain,
( ( $false
= ( c_2Einteger_2Eint__divides @ sK15 @ sK13 ) )
| ( $false
= ( c_2Einteger_2Eint__divides @ sK15 @ ( c_2Einteger_2Eint__sub @ sK13 @ sK14 ) ) ) ),
inference(xor_proxy_clausification,[],[f277]) ).
thf(f359,plain,
( ( $false
= ( c_2Einteger_2Eint__divides @ sK15 @ sK13 ) )
| ( $false
= ( c_2Einteger_2Eint__divides @ sK15 @ ( c_2Einteger_2Eint__add @ sK13 @ ( c_2Einteger_2Eint__neg @ sK14 ) ) ) ) ),
inference(forward_demodulation,[],[f358,f265]) ).
thf(f360,plain,
( ( ( c_2Einteger_2Eint__divides @ sK15 @ ( c_2Einteger_2Eint__add @ sK13 @ ( c_2Einteger_2Eint__neg @ sK14 ) ) )
= $true )
| ( ( c_2Einteger_2Eint__divides @ sK15 @ sK13 )
= $true ) ),
inference(forward_demodulation,[],[f357,f265]) ).
thf(f362,definition,
( spl16_1
<=> ( $false
= ( c_2Einteger_2Eint__divides @ sK15 @ sK13 ) ) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
thf(f364,plain,
( ( $false
= ( c_2Einteger_2Eint__divides @ sK15 @ sK13 ) )
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f362]) ).
thf(f366,definition,
( spl16_2
<=> ( $false
= ( c_2Einteger_2Eint__divides @ sK15 @ ( c_2Einteger_2Eint__add @ sK13 @ ( c_2Einteger_2Eint__neg @ sK14 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
thf(f368,plain,
( ( $false
= ( c_2Einteger_2Eint__divides @ sK15 @ ( c_2Einteger_2Eint__add @ sK13 @ ( c_2Einteger_2Eint__neg @ sK14 ) ) ) )
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f366]) ).
thf(f369,plain,
( spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f359,f366,f362]) ).
thf(f371,definition,
( spl16_3
<=> ( ( c_2Einteger_2Eint__divides @ sK15 @ sK13 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).
thf(f373,plain,
( ( ( c_2Einteger_2Eint__divides @ sK15 @ sK13 )
= $true )
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f371]) ).
thf(f375,definition,
( spl16_4
<=> ( ( c_2Einteger_2Eint__divides @ sK15 @ ( c_2Einteger_2Eint__add @ sK13 @ ( c_2Einteger_2Eint__neg @ sK14 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).
thf(f377,plain,
( ( ( c_2Einteger_2Eint__divides @ sK15 @ ( c_2Einteger_2Eint__add @ sK13 @ ( c_2Einteger_2Eint__neg @ sK14 ) ) )
= $true )
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f375]) ).
thf(f378,plain,
( spl16_3
| spl16_4 ),
inference(avatar_split_clause,[],[f360,f375,f371]) ).
thf(f381,plain,
( ( ( c_2Einteger_2Eint__divides @ sK15 @ ( c_2Einteger_2Eint__neg @ sK14 ) )
!= $true )
| ( $false
= ( c_2Einteger_2Eint__divides @ sK15 @ sK13 ) )
| ~ spl16_2 ),
inference(superposition,[],[f368,f201]) ).
thf(f391,plain,
( ( $false
= ( c_2Einteger_2Eint__divides @ sK15 @ sK13 ) )
| ( $true
!= ( c_2Einteger_2Eint__divides @ sK15 @ sK14 ) )
| ~ spl16_2 ),
inference(forward_demodulation,[],[f381,f276]) ).
thf(f394,plain,
( ( $false
= ( c_2Einteger_2Eint__divides @ sK15 @ sK13 ) )
| ~ spl16_2 ),
inference(forward_subsumption_resolution,[],[f391,f278]) ).
thf(f396,plain,
( spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f394,f366,f362]) ).
thf(f402,plain,
( ( $false = $true )
| ~ spl16_1
| ~ spl16_3 ),
inference(superposition,[],[f373,f364]) ).
thf(f406,plain,
( $false
| ~ spl16_1
| ~ spl16_3 ),
inference(trivial_inequality_removal,[],[f402]) ).
thf(f407,plain,
( ~ spl16_1
| ~ spl16_3 ),
inference(avatar_contradiction_clause,[],[f406]) ).
thf(f416,plain,
( ( ( c_2Einteger_2Eint__divides @ sK15 @ ( c_2Einteger_2Eint__neg @ sK14 ) )
!= $true )
| ( ( c_2Einteger_2Eint__divides @ sK15 @ sK13 )
= $true )
| ~ spl16_4 ),
inference(superposition,[],[f201,f377]) ).
thf(f418,plain,
( ( $true
!= ( c_2Einteger_2Eint__divides @ sK15 @ sK14 ) )
| ( ( c_2Einteger_2Eint__divides @ sK15 @ sK13 )
= $true )
| ~ spl16_4 ),
inference(forward_demodulation,[],[f416,f276]) ).
thf(f420,plain,
( ( ( c_2Einteger_2Eint__divides @ sK15 @ sK13 )
= $true )
| ~ spl16_4 ),
inference(forward_subsumption_resolution,[],[f418,f278]) ).
thf(f424,plain,
( ( $false = $true )
| ~ spl16_1
| ~ spl16_4 ),
inference(forward_demodulation,[],[f420,f364]) ).
thf(f425,plain,
( $false
| ~ spl16_1
| ~ spl16_4 ),
inference(trivial_inequality_removal,[],[f424]) ).
thf(f426,plain,
( ~ spl16_1
| ~ spl16_4 ),
inference(avatar_contradiction_clause,[],[f425]) ).
cnf(s1,plain,
( spl16_1
| spl16_2 ),
inference(sat_conversion,[],[f369]) ).
cnf(s2,plain,
( spl16_3
| spl16_4 ),
inference(sat_conversion,[],[f378]) ).
cnf(s3,plain,
( spl16_1
| ~ spl16_2 ),
inference(sat_conversion,[],[f396]) ).
cnf(s6,plain,
( ~ spl16_1
| ~ spl16_3 ),
inference(sat_conversion,[],[f407]) ).
cnf(s8,plain,
( ~ spl16_1
| ~ spl16_4 ),
inference(sat_conversion,[],[f426]) ).
cnf(s9,plain,
spl16_1,
inference(rat,[],[s1,s3]) ).
cnf(s10,plain,
~ spl16_4,
inference(rat,[],[s8,s9]) ).
cnf(s11,plain,
~ spl16_3,
inference(rat,[],[s6,s9]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s2,s10,s11]) ).
thf(f427,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP012^3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n026.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 19:29:57 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.10/0.24 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
% 0.73/0.37 % (1056853)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.73/0.37 % (1056860)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3490024580:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.73/0.37 % (1056860)Instruction limit reached!
% 0.73/0.37 % (1056860)------------------------------
% 0.73/0.37 % (1056860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1056860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1056860)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1056860)Termination reason: Instruction limit
% 0.73/0.37 % (1056860)Termination phase: Naming
% 0.73/0.37 % (1056860)Time elapsed: 0.001 s
% 0.73/0.37 % (1056860)Peak memory usage: 10 MB
% 0.73/0.37 % (1056860)Instructions burned: 3 (million)
% 0.73/0.37 % (1056864)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.73/0.37 % (1056864)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
% 0.73/0.37 % (1056859)lrs+10_16_si=on:nwc=1.5:random_seed=901669064:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.73/0.37 % (1056858)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3052742842:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.73/0.37 % (1056861)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=1516674117: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)
% 0.73/0.37 % (1056862)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=863280158:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.73/0.37 % (1056864)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=3503655876:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.73/0.37 % (1056863)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2990273476:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.73/0.37 % (1056866)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2527817076:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.37 % (1056866)Instruction limit reached!
% 0.73/0.37 % (1056866)------------------------------
% 0.73/0.37 % (1056866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1056866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1056866)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1056866)Termination reason: Instruction limit
% 0.73/0.37 % (1056866)Termination phase: Saturation
% 0.73/0.37 % (1056866)Time elapsed: 0.003 s
% 0.73/0.37 % (1056866)Peak memory usage: 12 MB
% 0.73/0.37 % (1056866)Instructions burned: 14 (million)
% 0.73/0.37 % (1056859)Instruction limit reached!
% 0.73/0.37 % (1056859)------------------------------
% 0.73/0.37 % (1056859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1056859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1056859)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1056859)Termination reason: Instruction limit
% 0.73/0.37 % (1056859)Termination phase: Saturation
% 0.73/0.37 % (1056859)Time elapsed: 0.010 s
% 0.73/0.37 % (1056859)Peak memory usage: 11 MB
% 0.73/0.37 % (1056859)Instructions burned: 19 (million)
% 0.73/0.37 % (1056862)Instruction limit reached!
% 0.73/0.37 % (1056862)------------------------------
% 0.73/0.37 % (1056862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1056862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1056862)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1056862)Termination reason: Instruction limit
% 0.73/0.37 % (1056862)Termination phase: Saturation
% 0.73/0.37 % (1056862)Time elapsed: 0.014 s
% 0.73/0.37 % (1056862)Peak memory usage: 12 MB
% 0.73/0.37 % (1056862)Instructions burned: 25 (million)
% 0.73/0.37 % (1056874)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2735275971:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.73/0.37 % (1056874)Instruction limit reached!
% 0.73/0.37 % (1056874)------------------------------
% 0.73/0.37 % (1056874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1056874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1056874)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1056874)Termination reason: Instruction limit
% 0.73/0.37 % (1056874)Termination phase: Property scanning
% 0.73/0.37 % (1056874)Time elapsed: 0.002 s
% 0.73/0.37 % (1056874)Peak memory usage: 11 MB
% 0.73/0.37 % (1056874)Instructions burned: 7 (million)
% 0.73/0.37 % (1056875)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.37 % (1056878)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
% 0.73/0.37 % (1056878)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.37 % (1056876)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4070400472:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.73/0.37 % (1056875)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2805549961:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.73/0.37 % (1056878)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4147219404:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.73/0.37 % (1056875)Instruction limit reached!
% 0.73/0.37 % (1056875)------------------------------
% 0.73/0.37 % (1056875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1056875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1056875)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1056875)Termination reason: Instruction limit
% 0.73/0.37 % (1056875)Termination phase: Property scanning
% 0.73/0.37 % (1056875)Time elapsed: 0.004 s
% 0.73/0.37 % (1056875)Peak memory usage: 10 MB
% 0.73/0.37 % (1056875)Instructions burned: 9 (million)
% 0.73/0.37 % (1056876)Instruction limit reached!
% 0.73/0.37 % (1056876)------------------------------
% 0.73/0.37 % (1056876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1056876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1056876)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1056876)Termination reason: Instruction limit
% 0.73/0.37 % (1056876)Termination phase: Property scanning
% 0.73/0.37 % (1056876)Time elapsed: 0.006 s
% 0.73/0.37 % (1056876)Peak memory usage: 11 MB
% 0.73/0.37 % (1056876)Instructions burned: 12 (million)
% 0.73/0.37 % (1056863)Instruction limit reached!
% 0.73/0.37 % (1056863)------------------------------
% 0.73/0.37 % (1056863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1056863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1056863)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1056863)Termination reason: Instruction limit
% 0.73/0.37 % (1056863)Termination phase: Saturation
% 0.73/0.37 % (1056863)Time elapsed: 0.041 s
% 0.73/0.37 % (1056863)Peak memory usage: 12 MB
% 0.73/0.37 % (1056863)Instructions burned: 77 (million)
% 0.73/0.37 % (1056878)Instruction limit reached!
% 0.73/0.37 % (1056878)------------------------------
% 0.73/0.37 % (1056878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1056878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1056878)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1056878)Termination reason: Instruction limit
% 0.73/0.37 % (1056878)Termination phase: Saturation
% 0.73/0.37 % (1056878)Time elapsed: 0.007 s
% 0.73/0.37 % (1056878)Peak memory usage: 12 MB
% 0.73/0.37 % (1056878)Instructions burned: 29 (million)
% 0.73/0.37 % (1056858)Instruction limit reached!
% 0.73/0.37 % (1056858)------------------------------
% 0.73/0.37 % (1056858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1056858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1056858)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1056858)Termination reason: Instruction limit
% 0.73/0.37 % (1056858)Termination phase: Saturation
% 0.73/0.37 % (1056858)Time elapsed: 0.051 s
% 0.73/0.37 % (1056858)Peak memory usage: 12 MB
% 0.73/0.37 % (1056858)Instructions burned: 87 (million)
% 0.73/0.37 % (1056883)lrs+10_1_si=on:cs=on:random_seed=2740902705:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.73/0.37 % (1056883)Instruction limit reached!
% 0.73/0.37 % (1056883)------------------------------
% 0.73/0.37 % (1056883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1056883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1056883)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1056883)Termination reason: Instruction limit
% 0.73/0.37 % (1056883)Termination phase: Function definition elimination
% 0.73/0.37 % (1056883)Time elapsed: 0.004 s
% 0.73/0.37 % (1056883)Peak memory usage: 10 MB
% 0.73/0.37 % (1056883)Instructions burned: 8 (million)
% 0.73/0.37 % (1056885)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1810628682:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.73/0.37 % (1056886)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2912816678:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.73/0.37 % (1056884)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.73/0.37 % (1056886) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1056853-1056886"...
% 0.73/0.37 % (1056886)...printing done.
% 0.73/0.37 % (1056882)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=3870124474:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.73/0.37 % (1056885)Instruction limit reached!
% 0.73/0.37 % (1056885)------------------------------
% 0.73/0.37 % (1056885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1056885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1056885)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1056885)Termination reason: Instruction limit
% 0.73/0.37 % (1056885)Termination phase: Saturation
% 0.73/0.37 % (1056885)Time elapsed: 0.015 s
% 0.73/0.37 % (1056885)Peak memory usage: 12 MB
% 0.73/0.37 % (1056885)Instructions burned: 41 (million)
% 0.73/0.37 % (1056886)Refutation found. Thanks to Tanya!
% 0.73/0.37 % SZS status Theorem for theBenchmark
% 0.73/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.73/0.38 % (1056886)------------------------------
% 0.73/0.38 % (1056886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.38 % (1056886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.38 % (1056886)CaDiCaL version: 2.1.3
% 0.73/0.38 % (1056886)Termination reason: Refutation
% 0.73/0.38 % (1056886)Time elapsed: 0.011 s
% 0.73/0.38 % (1056886)Peak memory usage: 13 MB
% 0.73/0.38 % (1056886)Instructions burned: 19 (million)
% 0.73/0.38 % (1056853)Success in time 0.125 s
% 0.73/0.38 % Vampire exiting
%------------------------------------------------------------------------------