%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MSC007^1.003.004 : TPTP v9.3.1. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 08:15:36 AM UTC 2026
% Result : Theorem 0.63s 0.52s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 19
% Syntax : Number of formulae : 170 ( 28 unt; 0 typ; 11 def)
% Number of atoms : 427 ( 158 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 565 ( 202 ~; 211 |; 8 &; 130 @)
% ( 11 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 20 con; 0-4 aty)
% Number of variables : 30 ( 0 sgn 24 !; 4 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
hole: $tType ).
thf(type_def_6,type,
pigeon: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
hole1: hole ).
thf(func_def_1,type,
hole2: hole ).
thf(func_def_2,type,
hole3: hole ).
thf(func_def_3,type,
pigeon1: pigeon ).
thf(func_def_4,type,
pigeon2: pigeon ).
thf(func_def_5,type,
pigeon3: pigeon ).
thf(func_def_6,type,
pigeon4: pigeon ).
thf(func_def_7,type,
pigeon_hole: pigeon > hole ).
thf(func_def_11,type,
vNOT: $o > $o ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_13,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,axiom,
! [X0: hole > $o] :
( ( ( X0 @ hole1 )
& ( X0 @ hole3 )
& ( X0 @ hole2 ) )
=> ! [X1: hole] : ( X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',holecover) ).
thf(f2,axiom,
pigeon1 != pigeon2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon1pigeon2) ).
thf(f3,axiom,
pigeon1 != pigeon3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon1pigeon3) ).
thf(f4,axiom,
pigeon2 != pigeon3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon2pigeon3) ).
thf(f5,axiom,
pigeon1 != pigeon4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon1pigeon4) ).
thf(f6,axiom,
pigeon2 != pigeon4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon2pigeon4) ).
thf(f7,axiom,
pigeon3 != pigeon4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon3pigeon4) ).
thf(f8,conjecture,
? [X0: pigeon,X1: pigeon] :
( ( X0 != X1 )
& ( ( pigeon_hole @ X0 )
= ( pigeon_hole @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sharing_a_hole) ).
thf(f9,negated_conjecture,
~ ? [X0: pigeon,X1: pigeon] :
( ( X0 != X1 )
& ( ( pigeon_hole @ X0 )
= ( pigeon_hole @ X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
thf(f10,plain,
! [X0: hole > $o] :
( ( ( X0 @ hole1 )
& ( X0 @ hole3 )
& ( X0 @ hole2 ) )
=> ! [X1: hole] : ( X0 @ X1 ) ),
inference(rectify,[],[f1]) ).
thf(f11,plain,
! [X0: hole > $o] :
( ( ( ( X0 @ hole3 )
= $true )
& ( ( X0 @ hole2 )
= $true )
& ( ( X0 @ hole1 )
= $true ) )
=> ! [X1: hole] :
( ( X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X1: pigeon,X0: pigeon] :
( ( X0 = X1 )
| ( ( pigeon_hole @ X0 )
!= ( pigeon_hole @ X1 ) ) ),
inference(ennf_transformation,[],[f9]) ).
thf(f13,plain,
! [X0: hole > $o] :
( ! [X1: hole] :
( ( X0 @ X1 )
= $true )
| ( ( X0 @ hole3 )
!= $true )
| ( ( X0 @ hole2 )
!= $true )
| ( ( X0 @ hole1 )
!= $true ) ),
inference(ennf_transformation,[],[f11]) ).
thf(f14,plain,
! [X0: hole > $o] :
( ( ( X0 @ hole3 )
!= $true )
| ( ( X0 @ hole1 )
!= $true )
| ( ( X0 @ hole2 )
!= $true )
| ! [X1: hole] :
( ( X0 @ X1 )
= $true ) ),
inference(flattening,[],[f13]) ).
thf(f15,plain,
! [X0: pigeon,X1: pigeon] :
( ( X0 = X1 )
| ( ( pigeon_hole @ X0 )
!= ( pigeon_hole @ X1 ) ) ),
inference(rectify,[],[f12]) ).
thf(f16,plain,
pigeon2 != pigeon3,
inference(cnf_transformation,[],[f4]) ).
thf(f17,plain,
! [X0: pigeon,X1: pigeon] :
( ( ( pigeon_hole @ X0 )
!= ( pigeon_hole @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f18,plain,
pigeon1 != pigeon2,
inference(cnf_transformation,[],[f2]) ).
thf(f19,plain,
! [X0: hole > $o,X1: hole] :
( ( ( X0 @ hole3 )
!= $true )
| ( ( X0 @ hole2 )
!= $true )
| ( ( X0 @ X1 )
= $true )
| ( ( X0 @ hole1 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f20,plain,
pigeon1 != pigeon3,
inference(cnf_transformation,[],[f3]) ).
thf(f21,plain,
pigeon1 != pigeon4,
inference(cnf_transformation,[],[f5]) ).
thf(f22,plain,
pigeon2 != pigeon4,
inference(cnf_transformation,[],[f6]) ).
thf(f23,plain,
pigeon3 != pigeon4,
inference(cnf_transformation,[],[f7]) ).
thf(f30,plain,
( ( pigeon_hole @ pigeon3 )
!= ( pigeon_hole @ pigeon2 ) ),
inference(unit_resulting_resolution,[],[f17,f16]) ).
thf(f34,plain,
( ( pigeon_hole @ pigeon1 )
!= ( pigeon_hole @ pigeon2 ) ),
inference(unit_resulting_resolution,[],[f17,f18]) ).
thf(f37,plain,
( ( pigeon_hole @ pigeon3 )
!= ( pigeon_hole @ pigeon1 ) ),
inference(unit_resulting_resolution,[],[f17,f20]) ).
thf(f40,plain,
( ( pigeon_hole @ pigeon1 )
!= ( pigeon_hole @ pigeon4 ) ),
inference(extensionality_resolution,[],[f17,f21]) ).
thf(f45,plain,
( ( pigeon_hole @ pigeon4 )
!= ( pigeon_hole @ pigeon2 ) ),
inference(unit_resulting_resolution,[],[f17,f22]) ).
thf(f48,plain,
( ( pigeon_hole @ pigeon3 )
!= ( pigeon_hole @ pigeon4 ) ),
inference(extensionality_resolution,[],[f17,f23]) ).
thf(f52,plain,
! [X0: hole] :
( ( ( ^ [Y0: hole] : ( Y0 != X0 )
@ hole2 )
!= $true )
| ( $true
!= ( ^ [Y0: hole] : ( Y0 != X0 )
@ hole1 ) )
| ( hole3 = X0 ) ),
inference(leibniz_equality_elimination,[],[f19]) ).
thf(f65,plain,
! [X0: hole] :
( ( hole3 = X0 )
| ( ( hole2 != X0 )
!= $true )
| ( $true
!= ( hole1 != X0 ) ) ),
inference(beta-eta_normalization,[],[f52]) ).
thf(f66,plain,
! [X0: hole] :
( ( hole3 = X0 )
| ( $true
= ( hole2 = X0 ) )
| ( $true
!= ( hole1 != X0 ) ) ),
inference(not_proxy_clausification,[],[f65]) ).
thf(f67,plain,
! [X0: hole] :
( ( hole2 = X0 )
| ( $true
!= ( hole1 != X0 ) )
| ( hole3 = X0 ) ),
inference(equality_proxy_clausification,[],[f66]) ).
thf(f68,plain,
! [X0: hole] :
( ( $true
= ( hole1 = X0 ) )
| ( hole2 = X0 )
| ( hole3 = X0 ) ),
inference(not_proxy_clausification,[],[f67]) ).
thf(f69,plain,
! [X0: hole] :
( ( hole3 = X0 )
| ( hole1 = X0 )
| ( hole2 = X0 ) ),
inference(equality_proxy_clausification,[],[f68]) ).
thf(f90,plain,
( ( hole2
= ( pigeon_hole @ pigeon1 ) )
| ( hole3
!= ( pigeon_hole @ pigeon3 ) )
| ( hole1
= ( pigeon_hole @ pigeon1 ) ) ),
inference(constrained_superposition,[],[f37,f69]) ).
thf(f91,plain,
( ( hole2
= ( pigeon_hole @ pigeon2 ) )
| ( hole3
!= ( pigeon_hole @ pigeon1 ) )
| ( hole1
= ( pigeon_hole @ pigeon2 ) ) ),
inference(constrained_superposition,[],[f34,f69]) ).
thf(f92,plain,
( ( hole1
= ( pigeon_hole @ pigeon2 ) )
| ( hole3
!= ( pigeon_hole @ pigeon3 ) )
| ( hole2
= ( pigeon_hole @ pigeon2 ) ) ),
inference(constrained_superposition,[],[f30,f69]) ).
thf(f93,plain,
( ( hole1
= ( pigeon_hole @ pigeon4 ) )
| ( hole2
= ( pigeon_hole @ pigeon4 ) )
| ( hole3
!= ( pigeon_hole @ pigeon3 ) ) ),
inference(constrained_superposition,[],[f48,f69]) ).
thf(f94,plain,
( ( hole3
!= ( pigeon_hole @ pigeon2 ) )
| ( hole1
= ( pigeon_hole @ pigeon4 ) )
| ( hole2
= ( pigeon_hole @ pigeon4 ) ) ),
inference(constrained_superposition,[],[f45,f69]) ).
thf(f95,plain,
( ( hole2
= ( pigeon_hole @ pigeon4 ) )
| ( hole3
!= ( pigeon_hole @ pigeon1 ) )
| ( hole1
= ( pigeon_hole @ pigeon4 ) ) ),
inference(constrained_superposition,[],[f40,f69]) ).
thf(f99,definition,
( spl0_4
<=> ( hole1
= ( pigeon_hole @ pigeon1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f100,plain,
( ( hole1
= ( pigeon_hole @ pigeon1 ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f99]) ).
thf(f102,definition,
( spl0_5
<=> ( hole3
= ( pigeon_hole @ pigeon3 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f103,plain,
( ( hole3
!= ( pigeon_hole @ pigeon3 ) )
| spl0_5 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f105,definition,
( spl0_6
<=> ( hole2
= ( pigeon_hole @ pigeon1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f106,plain,
( ( hole2
= ( pigeon_hole @ pigeon1 ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f107,plain,
( spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f90,f105,f102,f99]) ).
thf(f109,definition,
( spl0_7
<=> ( hole3
= ( pigeon_hole @ pigeon1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f110,plain,
( ( hole3
!= ( pigeon_hole @ pigeon1 ) )
| spl0_7 ),
inference(avatar_component_clause,[],[f109]) ).
thf(f112,definition,
( spl0_8
<=> ( hole1
= ( pigeon_hole @ pigeon2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f113,plain,
( ( hole1
= ( pigeon_hole @ pigeon2 ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f112]) ).
thf(f115,definition,
( spl0_9
<=> ( hole2
= ( pigeon_hole @ pigeon2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f116,plain,
( ( hole2
= ( pigeon_hole @ pigeon2 ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f115]) ).
thf(f117,plain,
( ~ spl0_7
| spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f91,f115,f112,f109]) ).
thf(f118,plain,
( spl0_8
| spl0_9
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f92,f102,f115,f112]) ).
thf(f120,definition,
( spl0_10
<=> ( hole2
= ( pigeon_hole @ pigeon4 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f121,plain,
( ( hole2
= ( pigeon_hole @ pigeon4 ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f120]) ).
thf(f123,definition,
( spl0_11
<=> ( hole1
= ( pigeon_hole @ pigeon4 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f124,plain,
( ( hole1
= ( pigeon_hole @ pigeon4 ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f123]) ).
thf(f125,plain,
( spl0_10
| ~ spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f95,f123,f109,f120]) ).
thf(f131,definition,
( spl0_13
<=> ( hole3
= ( pigeon_hole @ pigeon2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f132,plain,
( ( hole3
!= ( pigeon_hole @ pigeon2 ) )
| spl0_13 ),
inference(avatar_component_clause,[],[f131]) ).
thf(f133,plain,
( spl0_11
| spl0_10
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f94,f131,f120,f123]) ).
thf(f134,plain,
( spl0_11
| spl0_10
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f93,f102,f120,f123]) ).
thf(f180,plain,
( ( hole3 != hole3 )
| ( hole2
= ( pigeon_hole @ pigeon3 ) )
| ( hole1
= ( pigeon_hole @ pigeon3 ) )
| spl0_5 ),
inference(constrained_superposition,[],[f103,f69]) ).
thf(f181,plain,
( ( hole2
= ( pigeon_hole @ pigeon3 ) )
| ( hole1
= ( pigeon_hole @ pigeon3 ) )
| spl0_5 ),
inference(trivial_inequality_removal,[],[f180]) ).
thf(f183,definition,
( spl0_14
<=> ( hole2
= ( pigeon_hole @ pigeon3 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f184,plain,
( ( hole2
= ( pigeon_hole @ pigeon3 ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f183]) ).
thf(f186,definition,
( spl0_15
<=> ( hole1
= ( pigeon_hole @ pigeon3 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f187,plain,
( ( hole1
= ( pigeon_hole @ pigeon3 ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f186]) ).
thf(f188,plain,
( spl0_14
| spl0_15
| spl0_5 ),
inference(avatar_split_clause,[],[f181,f102,f186,f183]) ).
thf(f190,plain,
( ( hole1
!= ( pigeon_hole @ pigeon3 ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f37,f100]) ).
thf(f194,plain,
( ( hole2
= ( pigeon_hole @ pigeon1 ) )
| ( hole3 != hole3 )
| ( hole1
= ( pigeon_hole @ pigeon1 ) )
| spl0_7 ),
inference(constrained_superposition,[],[f110,f69]) ).
thf(f195,plain,
( ( hole2
= ( pigeon_hole @ pigeon1 ) )
| ( hole1
= ( pigeon_hole @ pigeon1 ) )
| spl0_7 ),
inference(trivial_inequality_removal,[],[f194]) ).
thf(f197,plain,
( ( hole1
!= ( pigeon_hole @ pigeon1 ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f34,f113]) ).
thf(f198,plain,
( ( hole1
!= ( pigeon_hole @ pigeon3 ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f30,f113]) ).
thf(f201,plain,
( $false
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f197,f100]) ).
thf(f202,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f201]) ).
thf(f204,plain,
( ( hole2
!= ( pigeon_hole @ pigeon1 ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f34,f116]) ).
thf(f205,plain,
( ( hole2
!= ( pigeon_hole @ pigeon3 ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f30,f116]) ).
thf(f210,plain,
( ( hole2
!= ( pigeon_hole @ pigeon3 ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f48,f121]) ).
thf(f211,plain,
( ( hole2
!= ( pigeon_hole @ pigeon2 ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f45,f121]) ).
thf(f212,plain,
( ( hole2
!= ( pigeon_hole @ pigeon1 ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f40,f121]) ).
thf(f216,plain,
( $false
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f211,f116]) ).
thf(f217,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f216]) ).
thf(f219,plain,
( ( hole1
!= ( pigeon_hole @ pigeon3 ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f48,f124]) ).
thf(f220,plain,
( ( hole1
!= ( pigeon_hole @ pigeon2 ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f45,f124]) ).
thf(f221,plain,
( ( hole1
!= ( pigeon_hole @ pigeon1 ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f40,f124]) ).
thf(f225,plain,
( $false
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f221,f100]) ).
thf(f226,plain,
( ~ spl0_4
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f225]) ).
thf(f227,plain,
( ( hole3 != hole3 )
| ( hole1
= ( pigeon_hole @ pigeon3 ) )
| ( hole2
= ( pigeon_hole @ pigeon3 ) )
| spl0_5 ),
inference(constrained_superposition,[],[f103,f69]) ).
thf(f228,plain,
( ( hole2
= ( pigeon_hole @ pigeon3 ) )
| ( hole1
= ( pigeon_hole @ pigeon3 ) )
| spl0_5 ),
inference(trivial_inequality_removal,[],[f227]) ).
thf(f229,plain,
( ( hole1
= ( pigeon_hole @ pigeon2 ) )
| ( hole2
= ( pigeon_hole @ pigeon2 ) )
| ( hole3 != hole3 )
| spl0_13 ),
inference(constrained_superposition,[],[f132,f69]) ).
thf(f230,plain,
( ( hole1
= ( pigeon_hole @ pigeon2 ) )
| ( hole2
= ( pigeon_hole @ pigeon2 ) )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f229]) ).
thf(f231,plain,
( spl0_9
| spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f230,f131,f112,f115]) ).
thf(f233,plain,
( $false
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f210,f184]) ).
thf(f234,plain,
( ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f233]) ).
thf(f235,plain,
( ( hole1
= ( pigeon_hole @ pigeon3 ) )
| spl0_5
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f228,f210]) ).
thf(f236,plain,
( $false
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f187,f190]) ).
thf(f237,plain,
( ~ spl0_4
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f236]) ).
thf(f238,plain,
( $false
| ~ spl0_4
| spl0_5
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f235,f190]) ).
thf(f239,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f238]) ).
thf(f241,plain,
( ( hole1
= ( pigeon_hole @ pigeon1 ) )
| spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f195,f212]) ).
thf(f242,plain,
( spl0_4
| spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f241,f120,f109,f99]) ).
thf(f246,plain,
( ( hole2
= ( pigeon_hole @ pigeon3 ) )
| spl0_5
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f228,f198]) ).
thf(f247,plain,
( ( hole1
= ( pigeon_hole @ pigeon1 ) )
| ( hole3 != hole3 )
| ( hole2
= ( pigeon_hole @ pigeon1 ) )
| spl0_7 ),
inference(constrained_superposition,[],[f110,f69]) ).
thf(f248,plain,
( ( hole1
= ( pigeon_hole @ pigeon1 ) )
| ( hole2
= ( pigeon_hole @ pigeon1 ) )
| spl0_7 ),
inference(trivial_inequality_removal,[],[f247]) ).
thf(f249,plain,
( ( hole2
= ( pigeon_hole @ pigeon1 ) )
| spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f248,f197]) ).
thf(f250,plain,
( spl0_6
| spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f249,f112,f109,f105]) ).
thf(f253,plain,
( ( hole2
!= ( pigeon_hole @ pigeon3 ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f37,f106]) ).
thf(f256,plain,
( $false
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f253,f184]) ).
thf(f257,plain,
( ~ spl0_6
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f256]) ).
thf(f258,plain,
( $false
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f212,f106]) ).
thf(f259,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f258]) ).
thf(f261,plain,
( $false
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f219,f187]) ).
thf(f262,plain,
( ~ spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f261]) ).
thf(f266,plain,
( ( hole1
= ( pigeon_hole @ pigeon1 ) )
| ( hole3 != hole3 )
| ( hole2
= ( pigeon_hole @ pigeon1 ) )
| spl0_7 ),
inference(constrained_superposition,[],[f110,f69]) ).
thf(f267,plain,
( ( hole2
= ( pigeon_hole @ pigeon1 ) )
| ( hole1
= ( pigeon_hole @ pigeon1 ) )
| spl0_7 ),
inference(trivial_inequality_removal,[],[f266]) ).
thf(f268,plain,
( ( hole2
= ( pigeon_hole @ pigeon1 ) )
| spl0_7
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f267,f221]) ).
thf(f269,plain,
( spl0_6
| spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f268,f123,f109,f105]) ).
thf(f270,plain,
( $false
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f205,f184]) ).
thf(f271,plain,
( ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f270]) ).
thf(f273,plain,
( ( hole1
= ( pigeon_hole @ pigeon1 ) )
| spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f267,f204]) ).
thf(f274,plain,
( spl0_4
| spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f273,f115,f109,f99]) ).
thf(f276,plain,
( $false
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f106,f204]) ).
thf(f277,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f276]) ).
thf(f278,plain,
( $false
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f220,f113]) ).
thf(f279,plain,
( ~ spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f278]) ).
thf(f280,plain,
( spl0_14
| spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f246,f112,f102,f183]) ).
cnf(s2,plain,
( spl0_4
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f107]) ).
cnf(s3,plain,
( ~ spl0_7
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f117]) ).
cnf(s4,plain,
( ~ spl0_5
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f118]) ).
cnf(s5,plain,
( ~ spl0_7
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f125]) ).
cnf(s7,plain,
( spl0_10
| spl0_11
| ~ spl0_13 ),
inference(sat_conversion,[],[f133]) ).
cnf(s8,plain,
( ~ spl0_5
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f134]) ).
cnf(s9,plain,
( spl0_5
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f188]) ).
cnf(s10,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(sat_conversion,[],[f202]) ).
cnf(s11,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f217]) ).
cnf(s12,plain,
( ~ spl0_4
| ~ spl0_11 ),
inference(sat_conversion,[],[f226]) ).
cnf(s13,plain,
( spl0_8
| spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f231]) ).
cnf(s14,plain,
( ~ spl0_10
| ~ spl0_14 ),
inference(sat_conversion,[],[f234]) ).
cnf(s15,plain,
( ~ spl0_4
| ~ spl0_15 ),
inference(sat_conversion,[],[f237]) ).
cnf(s16,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_10 ),
inference(sat_conversion,[],[f239]) ).
cnf(s18,plain,
( spl0_4
| spl0_7
| ~ spl0_10 ),
inference(sat_conversion,[],[f242]) ).
cnf(s20,plain,
( spl0_6
| spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f250]) ).
cnf(s21,plain,
( ~ spl0_6
| ~ spl0_14 ),
inference(sat_conversion,[],[f257]) ).
cnf(s22,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(sat_conversion,[],[f259]) ).
cnf(s23,plain,
( ~ spl0_11
| ~ spl0_15 ),
inference(sat_conversion,[],[f262]) ).
cnf(s24,plain,
( spl0_6
| spl0_7
| ~ spl0_11 ),
inference(sat_conversion,[],[f269]) ).
cnf(s25,plain,
( ~ spl0_9
| ~ spl0_14 ),
inference(sat_conversion,[],[f271]) ).
cnf(s26,plain,
( spl0_4
| spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f274]) ).
cnf(s27,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f277]) ).
cnf(s28,plain,
( ~ spl0_8
| ~ spl0_11 ),
inference(sat_conversion,[],[f279]) ).
cnf(s29,plain,
( spl0_5
| ~ spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f280]) ).
cnf(s30,plain,
( spl0_7
| spl0_6
| spl0_4 ),
inference(rat,[],[s7,s13,s18,s20,s24,s26]) ).
cnf(s31,plain,
( ~ spl0_9
| ~ spl0_7
| spl0_5 ),
inference(rat,[],[s23,s5,s9,s11,s25]) ).
cnf(s32,plain,
( ~ spl0_7
| spl0_5 ),
inference(rat,[],[s5,s14,s28,s29,s3,s31]) ).
cnf(s33,plain,
( spl0_5
| spl0_4 ),
inference(rat,[],[s7,s13,s23,s29,s9,s21,s30,s18,s26,s32]) ).
cnf(s34,plain,
( ~ spl0_5
| spl0_4 ),
inference(rat,[],[s28,s8,s4,s22,s27,s2]) ).
cnf(s35,plain,
spl0_4,
inference(rat,[],[s34,s33]) ).
cnf(s36,plain,
~ spl0_15,
inference(rat,[],[s15,s35]) ).
cnf(s37,plain,
~ spl0_11,
inference(rat,[],[s12,s35]) ).
cnf(s38,plain,
~ spl0_8,
inference(rat,[],[s10,s35]) ).
cnf(s39,plain,
~ spl0_9,
inference(rat,[],[s8,s9,s11,s25,s37,s36]) ).
cnf(s40,plain,
~ spl0_5,
inference(rat,[],[s4,s38,s39]) ).
cnf(s42,plain,
spl0_13,
inference(rat,[],[s13,s38,s39]) ).
cnf(s43,plain,
~ spl0_10,
inference(rat,[],[s16,s35,s40]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s7,s37,s43,s42]) ).
thf(f282,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC007^1.003.004 : TPTP v9.3.1. Released v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n020.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 11:20:49 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 Running higher-order theorem proving
% 0.20/0.27 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
% 0.63/0.47 % (932196)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.47 % (932202)lrs+10_16_si=on:nwc=1.5:random_seed=1319354444:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.47 % (932201)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3426692578:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.47 % (932202)Instruction limit reached!
% 0.63/0.47 % (932202)------------------------------
% 0.63/0.47 % (932202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.47 % (932202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.47 % (932202)CaDiCaL version: 2.1.3
% 0.63/0.47 % (932202)Termination reason: Instruction limit
% 0.63/0.47 % (932202)Termination phase: Saturation
% 0.63/0.47 % (932202)Time elapsed: 0.010 s
% 0.63/0.47 % (932202)Peak memory usage: 12 MB
% 0.63/0.47 % (932202)Instructions burned: 19 (million)
% 0.63/0.47 % (932203)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2321930412:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.47 % (932203)Refutation not found, incomplete strategy
% 0.63/0.47 % (932203)------------------------------
% 0.63/0.47 % (932203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.47 % (932203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.47 % (932203)CaDiCaL version: 2.1.3
% 0.63/0.47 % (932203)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.47 % (932203)Time elapsed: 0.003 s
% 0.63/0.47 % (932203)Peak memory usage: 12 MB
% 0.63/0.47 % (932203)Instructions burned: 2 (million)
% 0.63/0.47 % (932203)------------------------------
% 0.63/0.47 % (932203)------------------------------
% 0.63/0.47 % (932205)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2577367295:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.47 % (932211)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2561856901:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.47 % (932211)Instruction limit reached!
% 0.63/0.47 % (932211)------------------------------
% 0.63/0.47 % (932211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.47 % (932211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.47 % (932211)CaDiCaL version: 2.1.3
% 0.63/0.47 % (932211)Termination reason: Instruction limit
% 0.63/0.47 % (932211)Termination phase: Saturation
% 0.63/0.47 % (932211)Time elapsed: 0.002 s
% 0.63/0.47 % (932211)Peak memory usage: 12 MB
% 0.63/0.47 % (932211)Instructions burned: 3 (million)
% 0.63/0.47 % (932205)Instruction limit reached!
% 0.63/0.47 % (932205)------------------------------
% 0.63/0.47 % (932205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.47 % (932205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.47 % (932205)CaDiCaL version: 2.1.3
% 0.63/0.47 % (932205)Termination reason: Instruction limit
% 0.63/0.47 % (932205)Termination phase: Saturation
% 0.63/0.47 % (932205)Time elapsed: 0.011 s
% 0.63/0.47 % (932205)Peak memory usage: 12 MB
% 0.63/0.47 % (932205)Instructions burned: 24 (million)
% 0.63/0.47 % (932207)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.47 % (932207)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
% 0.63/0.47 % (932207)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=660717401:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.47 % (932215)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.47 % (932206)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=669044689:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.47 % (932207)Refutation not found, incomplete strategy
% 0.63/0.47 % (932207)------------------------------
% 0.63/0.47 % (932207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.47 % (932207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.51 % (932207)CaDiCaL version: 2.1.3
% 0.63/0.51 % (932207)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.51 % (932207)Time elapsed: 0.002 s
% 0.63/0.51 % (932207)Peak memory usage: 12 MB
% 0.63/0.51 % (932207)Instructions burned: 1 (million)
% 0.63/0.51 % (932207)------------------------------
% 0.63/0.51 % (932207)------------------------------
% 0.63/0.51 % (932204)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=693922475: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)
% 0.63/0.51 % (932215)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=956637897:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.51 % (932212)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2490830863:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.51 % (932201)Instruction limit reached!
% 0.63/0.51 % (932201)------------------------------
% 0.63/0.51 % (932201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.51 % (932201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.51 % (932201)CaDiCaL version: 2.1.3
% 0.63/0.51 % (932201)Termination reason: Instruction limit
% 0.63/0.51 % (932201)Termination phase: Saturation
% 0.63/0.51 % (932201)Time elapsed: 0.057 s
% 0.63/0.51 % (932201)Peak memory usage: 12 MB
% 0.63/0.51 % (932201)Instructions burned: 89 (million)
% 0.63/0.51 % (932215)Instruction limit reached!
% 0.63/0.51 % (932215)------------------------------
% 0.63/0.51 % (932215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.51 % (932215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.51 % (932215)CaDiCaL version: 2.1.3
% 0.63/0.51 % (932215)Termination reason: Instruction limit
% 0.63/0.51 % (932215)Termination phase: Saturation
% 0.63/0.51 % (932215)Time elapsed: 0.005 s
% 0.63/0.51 % (932215)Peak memory usage: 12 MB
% 0.63/0.51 % (932215)Instructions burned: 9 (million)
% 0.63/0.51 % (932212)Instruction limit reached!
% 0.63/0.51 % (932212)------------------------------
% 0.63/0.51 % (932212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.51 % (932212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.51 % (932212)CaDiCaL version: 2.1.3
% 0.63/0.51 % (932212)Termination reason: Instruction limit
% 0.63/0.51 % (932212)Termination phase: Saturation
% 0.63/0.51 % (932212)Time elapsed: 0.005 s
% 0.63/0.51 % (932212)Peak memory usage: 11 MB
% 0.63/0.51 % (932212)Instructions burned: 5 (million)
% 0.63/0.51 % (932216)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1551905887:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.51 % (932223)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=2749019454:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.51 % (932225)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.63/0.51 % (932224)lrs+10_1_si=on:cs=on:random_seed=1779268224:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.63/0.51 % (932225)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=467198164:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.51 % (932216)Instruction limit reached!
% 0.63/0.51 % (932216)------------------------------
% 0.63/0.51 % (932216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.51 % (932216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.51 % (932216)CaDiCaL version: 2.1.3
% 0.63/0.51 % (932216)Termination reason: Instruction limit
% 0.63/0.51 % (932216)Termination phase: Saturation
% 0.63/0.51 % (932216)Time elapsed: 0.013 s
% 0.63/0.51 % (932216)Peak memory usage: 12 MB
% 0.63/0.51 % (932216)Instructions burned: 12 (million)
% 0.63/0.51 % (932225)Instruction limit reached!
% 0.63/0.51 % (932225)------------------------------
% 0.63/0.51 % (932225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.51 % (932225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.52 % (932225)CaDiCaL version: 2.1.3
% 0.63/0.52 % (932225)Termination reason: Instruction limit
% 0.63/0.52 % (932225)Termination phase: Saturation
% 0.63/0.52 % (932225)Time elapsed: 0.001 s
% 0.63/0.52 % (932225)Peak memory usage: 11 MB
% 0.63/0.52 % (932225)Instructions burned: 2 (million)
% 0.63/0.52 % (932224)Instruction limit reached!
% 0.63/0.52 % (932224)------------------------------
% 0.63/0.52 % (932224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.52 % (932224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.52 % (932224)CaDiCaL version: 2.1.3
% 0.63/0.52 % (932224)Termination reason: Instruction limit
% 0.63/0.52 % (932224)Termination phase: Saturation
% 0.63/0.52 % (932224)Time elapsed: 0.005 s
% 0.63/0.52 % (932224)Peak memory usage: 12 MB
% 0.63/0.52 % (932224)Instructions burned: 9 (million)
% 0.63/0.52 % (932221)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
% 0.63/0.52 % (932221)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.52 % (932221)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=714725765:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.52 % (932232)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1811211699:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.63/0.52 % (932231)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2528871087:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.63/0.52 % (932230)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1319681098:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.63/0.52 % (932232)Refutation not found, incomplete strategy
% 0.63/0.52 % (932232)------------------------------
% 0.63/0.52 % (932232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.52 % (932232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.52 % (932231)Refutation not found, incomplete strategy
% 0.63/0.52 % (932231)------------------------------
% 0.63/0.52 % (932231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.52 % (932232)CaDiCaL version: 2.1.3
% 0.63/0.52 % (932231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.52 % (932232)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.52 % (932232)Time elapsed: 0.002 s
% 0.63/0.52 % (932232)Peak memory usage: 12 MB
% 0.63/0.52 % (932231)CaDiCaL version: 2.1.3
% 0.63/0.52 % (932231)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.52 % (932231)Time elapsed: 0.001 s
% 0.63/0.52 % (932231)Peak memory usage: 12 MB
% 0.63/0.52 % (932221)Instruction limit reached!
% 0.63/0.52 % (932221)------------------------------
% 0.63/0.52 % (932221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.52 % (932221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.52 % (932221)CaDiCaL version: 2.1.3
% 0.63/0.52 % (932221)Termination reason: Instruction limit
% 0.63/0.52 % (932221)Termination phase: Saturation
% 0.63/0.52 % (932221)Time elapsed: 0.020 s
% 0.63/0.52 % (932221)Peak memory usage: 11 MB
% 0.63/0.52 % (932221)Instructions burned: 28 (million)
% 0.63/0.52 % (932230)Refutation not found, incomplete strategy
% 0.63/0.52 % (932230)------------------------------
% 0.63/0.52 % (932230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.52 % (932230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.52 % (932232)------------------------------
% 0.63/0.52 % (932232)------------------------------
% 0.63/0.52 % (932230)CaDiCaL version: 2.1.3
% 0.63/0.52 % (932230)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.52 % (932230)Time elapsed: 0.001 s
% 0.63/0.52 % (932230)Peak memory usage: 12 MB
% 0.63/0.52 % (932231)------------------------------
% 0.63/0.52 % (932231)------------------------------
% 0.63/0.52 % (932230)------------------------------
% 0.63/0.52 % (932230)------------------------------
% 0.63/0.52 % (932206)Instruction limit reached!
% 0.63/0.52 % (932206)------------------------------
% 0.63/0.52 % (932206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.52 % (932206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.52 % (932206)CaDiCaL version: 2.1.3
% 0.63/0.52 % (932206)Termination reason: Instruction limit
% 0.63/0.52 % (932206)Termination phase: Saturation
% 0.63/0.52 % (932206)Time elapsed: 0.105 s
% 0.63/0.52 % (932206)Peak memory usage: 12 MB
% 0.63/0.52 % (932206)Instructions burned: 75 (million)
% 0.63/0.52 % (932223)Instruction limit reached!
% 0.63/0.52 % (932223)------------------------------
% 0.63/0.52 % (932223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.52 % (932223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.52 % (932223)CaDiCaL version: 2.1.3
% 0.63/0.52 % (932223)Termination reason: Instruction limit
% 0.63/0.52 % (932223)Termination phase: Saturation
% 0.63/0.52 % (932223)Time elapsed: 0.085 s
% 0.63/0.52 % (932223)Peak memory usage: 12 MB
% 0.63/0.52 % (932223)Instructions burned: 86 (million)
% 0.63/0.52 % (932238)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=475087867:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.63/0.52 % (932240)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=134756709:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.63/0.52 % (932239)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2222282571:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.63/0.52 % (932240)Instruction limit reached!
% 0.63/0.52 % (932240)------------------------------
% 0.63/0.52 % (932240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.52 % (932240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.52 % (932240)CaDiCaL version: 2.1.3
% 0.63/0.52 % (932240)Termination reason: Instruction limit
% 0.63/0.52 % (932240)Termination phase: Saturation
% 0.63/0.52 % (932240)Time elapsed: 0.006 s
% 0.63/0.52 % (932240)Peak memory usage: 12 MB
% 0.63/0.52 % (932240)Instructions burned: 2 (million)
% 0.63/0.52 % (932237)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4023577404:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.63/0.52 % (932239)Instruction limit reached!
% 0.63/0.52 % (932239)------------------------------
% 0.63/0.52 % (932239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.52 % (932239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.52 % (932239)CaDiCaL version: 2.1.3
% 0.63/0.52 % (932239)Termination reason: Instruction limit
% 0.63/0.52 % (932239)Termination phase: Saturation
% 0.63/0.52 % (932239)Time elapsed: 0.012 s
% 0.63/0.52 % (932239)Peak memory usage: 12 MB
% 0.63/0.52 % (932239)Instructions burned: 15 (million)
% 0.63/0.52 % (932237) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-932196-932237"...
% 0.63/0.52 % (932241)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4116838054:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.63/0.52 % (932241)Refutation not found, incomplete strategy
% 0.63/0.52 % (932241)------------------------------
% 0.63/0.52 % (932241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.52 % (932241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.52 % (932241)CaDiCaL version: 2.1.3
% 0.63/0.52 % (932241)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.52 % (932241)Time elapsed: 0.003 s
% 0.63/0.52 % (932241)Peak memory usage: 12 MB
% 0.63/0.52 % (932241)Instructions burned: 2 (million)
% 0.63/0.52 % (932248)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 0.63/0.52 % (932248)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.63/0.52 % (932241)------------------------------
% 0.63/0.52 % (932241)------------------------------
% 0.63/0.52 % (932248)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=368972082:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 0.63/0.52 % (932237)...printing done.
% 0.63/0.52 % (932237)Refutation found. Thanks to Tanya!
% 0.63/0.52 % SZS status Theorem for theBenchmark
% 0.63/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.63/0.52 % (932237)------------------------------
% 0.63/0.52 % (932237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.52 % (932237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.52 % (932237)CaDiCaL version: 2.1.3
% 0.63/0.52 % (932237)Termination reason: Refutation
% 0.63/0.52 % (932237)Time elapsed: 0.018 s
% 0.63/0.52 % (932237)Peak memory usage: 13 MB
% 0.63/0.52 % (932237)Instructions burned: 14 (million)
% 0.63/0.52 % (932196)Success in time 0.238 s
% 0.63/0.52 % Vampire exiting
%------------------------------------------------------------------------------