%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : MSC007^1.003.004 : TPTP v9.2.1. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:21:39 AM UTC 2026
% Result : Theorem 1.59s 1.43s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 41
% Syntax : Number of formulae : 129 ( 19 unt; 0 typ; 23 def)
% Number of atoms : 335 ( 180 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 465 ( 121 ~; 145 |; 9 &; 164 @)
% ( 23 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 32 usr; 32 con; 0-2 aty)
% Number of variables : 32 ( 2 ^; 24 !; 6 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
hole: $tType ).
thf(type_def_6,type,
pigeon: $tType ).
thf(func_def_0,type,
hole: $tType ).
thf(func_def_1,type,
pigeon: $tType ).
thf(func_def_2,type,
hole1: hole ).
thf(func_def_3,type,
hole2: hole ).
thf(func_def_4,type,
hole3: hole ).
thf(func_def_5,type,
pigeon1: pigeon ).
thf(func_def_6,type,
pigeon2: pigeon ).
thf(func_def_7,type,
pigeon3: pigeon ).
thf(func_def_8,type,
pigeon4: pigeon ).
thf(func_def_9,type,
pigeon_hole: pigeon > hole ).
thf(func_def_15,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f255,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f30,f35,f40,f45,f55,f60,f104,f105,f106,f107,f108,f109,f167,f197,f202,f203,f204,f216,f217,f226,f227,f228,f237,f238,f243,f244,f245,f246,f247,f248,f249,f252,f254]) ).
thf(f254,plain,
( ( hole3
!= ( pigeon_hole @ pigeon2 ) )
| ( hole3
!= ( pigeon_hole @ pigeon3 ) )
| ( ( pigeon_hole @ pigeon2 )
= ( pigeon_hole @ pigeon3 ) ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f252,plain,
( ( hole2
!= ( pigeon_hole @ pigeon4 ) )
| ( hole2
!= ( pigeon_hole @ pigeon3 ) )
| ( ( pigeon_hole @ pigeon4 )
= ( pigeon_hole @ pigeon3 ) ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f249,plain,
( ( hole1
!= ( pigeon_hole @ pigeon1 ) )
| ( hole1
!= ( pigeon_hole @ pigeon2 ) )
| ( ( pigeon_hole @ pigeon2 )
= ( pigeon_hole @ pigeon1 ) ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f248,plain,
( ( hole2
!= ( pigeon_hole @ pigeon1 ) )
| ( hole2
!= ( pigeon_hole @ pigeon4 ) )
| ( ( pigeon_hole @ pigeon1 )
= ( pigeon_hole @ pigeon4 ) ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f247,plain,
( ( hole2
!= ( pigeon_hole @ pigeon1 ) )
| ( hole2
!= ( pigeon_hole @ pigeon3 ) )
| ( ( pigeon_hole @ pigeon1 )
= ( pigeon_hole @ pigeon3 ) ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f246,plain,
( ( hole1
!= ( pigeon_hole @ pigeon3 ) )
| ( hole1
!= ( pigeon_hole @ pigeon2 ) )
| ( ( pigeon_hole @ pigeon2 )
= ( pigeon_hole @ pigeon3 ) ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f245,plain,
( ( hole1
!= ( pigeon_hole @ pigeon1 ) )
| ( hole1
!= ( pigeon_hole @ pigeon3 ) )
| ( ( pigeon_hole @ pigeon1 )
= ( pigeon_hole @ pigeon3 ) ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f244,plain,
( ( hole1
!= ( pigeon_hole @ pigeon4 ) )
| ( hole1
!= ( pigeon_hole @ pigeon2 ) )
| ( ( pigeon_hole @ pigeon2 )
= ( pigeon_hole @ pigeon4 ) ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f243,plain,
( spl0_18
| spl0_17
| spl0_20 ),
inference(avatar_split_clause,[status(thm)],[f242,f169,f156,f160]) ).
thf(f160,definition,
( spl0_18
<=> ( hole1
= ( pigeon_hole @ pigeon2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_18])],[avatar_definition]) ).
thf(f156,definition,
( spl0_17
<=> ( hole2
= ( pigeon_hole @ pigeon2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_17])],[avatar_definition]) ).
thf(f169,definition,
( spl0_20
<=> ( hole3
= ( pigeon_hole @ pigeon2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_20])],[avatar_definition]) ).
thf(f242,plain,
( ( hole1
= ( pigeon_hole @ pigeon2 ) )
| spl0_17
| spl0_20 ),
inference(subsumption_resolution,[status(thm)],[f241,f157]) ).
thf(f157,plain,
( ( hole2
!= ( pigeon_hole @ pigeon2 ) )
| spl0_17 ),
inference(avatar_component_clause,[status(thm)],[f156]) ).
thf(f241,plain,
( ( hole2
= ( pigeon_hole @ pigeon2 ) )
| ( hole1
= ( pigeon_hole @ pigeon2 ) )
| spl0_20 ),
inference(trivial_inequality_removal,[status(thm)],[f240]) ).
thf(f240,plain,
( ( hole1
= ( pigeon_hole @ pigeon2 ) )
| ( hole3 != hole3 )
| ( hole2
= ( pigeon_hole @ pigeon2 ) )
| spl0_20 ),
inference(superposition,[status(thm)],[f171,f121]) ).
thf(f121,plain,
! [X0: hole] :
( ( hole3 = X0 )
| ( hole1 = X0 )
| ( hole2 = X0 ) ),
inference(equality_proxy_clausification,[status(thm)],[f120]) ).
thf(f120,plain,
! [X0: hole] :
( ( $true
= ( X0 = hole2 ) )
| ( hole1 = X0 )
| ( hole3 = X0 ) ),
inference(equality_proxy_clausification,[status(thm)],[f119]) ).
thf(f119,plain,
! [X0: hole] :
( ( $true
= ( X0 = hole3 ) )
| ( $true
= ( X0 = hole2 ) )
| ( hole1 = X0 ) ),
inference(not_proxy_clausification,[status(thm)],[f118]) ).
thf(f118,plain,
! [X0: hole] :
( ( $true
!= ( X0 != hole2 ) )
| ( $true
= ( X0 = hole3 ) )
| ( hole1 = X0 ) ),
inference(not_proxy_clausification,[status(thm)],[f117]) ).
thf(f117,plain,
! [X0: hole] :
( ( hole1 = X0 )
| ( ( X0 != hole3 )
!= $true )
| ( $true
!= ( X0 != hole2 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f111]) ).
thf(f111,plain,
! [X0: hole] :
( ( hole1 = X0 )
| ( ( ^ [Y0: hole] : ( X0 != Y0 )
@ hole3 )
!= $true )
| ( ( ^ [Y0: hole] : ( X0 != Y0 )
@ hole2 )
!= $true ) ),
inference(leibniz_equality_elimination,[status(thm)],[f21]) ).
thf(f21,plain,
! [X0: hole > $o,X1: hole] :
( ( ( X0 @ X1 )
= $true )
| ( ( X0 @ hole1 )
!= $true )
| ( ( X0 @ hole3 )
!= $true )
| ( ( X0 @ hole2 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f16,plain,
! [X0: hole > $o] :
( ( ( X0 @ hole2 )
!= $true )
| ( ( X0 @ hole3 )
!= $true )
| ( ( X0 @ hole1 )
!= $true )
| ! [X1: hole] :
( ( X0 @ X1 )
= $true ) ),
inference(flattening,[status(thm)],[f15]) ).
thf(f15,plain,
! [X0: hole > $o] :
( ! [X1: hole] :
( ( X0 @ X1 )
= $true )
| ( ( X0 @ hole1 )
!= $true )
| ( ( X0 @ hole2 )
!= $true )
| ( ( X0 @ hole3 )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f12]) ).
thf(f12,plain,
! [X0: hole > $o] :
( ( ( ( X0 @ hole1 )
= $true )
& ( ( X0 @ hole2 )
= $true )
& ( ( X0 @ hole3 )
= $true ) )
=> ! [X1: hole] :
( ( X0 @ X1 )
= $true ) ),
inference(fool_elimination,[status(thm)],[f11]) ).
thf(f11,plain,
! [X0: hole > $o] :
( ( ( X0 @ hole2 )
& ( X0 @ hole3 )
& ( X0 @ hole1 ) )
=> ! [X1: hole] : ( X0 @ X1 ) ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X0: hole > $o] :
( ( ( X0 @ hole2 )
& ( X0 @ hole3 )
& ( X0 @ hole1 ) )
=> ! [X1: hole] : ( X0 @ X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.XbjhLBra3n/DTF2THF_24187.p',holecover) ).
thf(f171,plain,
( ( hole3
!= ( pigeon_hole @ pigeon2 ) )
| spl0_20 ),
inference(avatar_component_clause,[status(thm)],[f169]) ).
thf(f238,plain,
( ( hole1
!= ( pigeon_hole @ pigeon1 ) )
| ( hole1
!= ( pigeon_hole @ pigeon4 ) )
| ( ( pigeon_hole @ pigeon1 )
= ( pigeon_hole @ pigeon4 ) ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f237,plain,
( spl0_21
| spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[status(thm)],[f236]) ).
thf(f236,plain,
( $false
| spl0_21
| spl0_22
| spl0_27 ),
inference(subsumption_resolution,[status(thm)],[f235,f178]) ).
thf(f178,plain,
( ( hole2
!= ( pigeon_hole @ pigeon3 ) )
| spl0_22 ),
inference(avatar_component_clause,[status(thm)],[f177]) ).
thf(f177,definition,
( spl0_22
<=> ( hole2
= ( pigeon_hole @ pigeon3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_22])],[avatar_definition]) ).
thf(f235,plain,
( ( hole2
= ( pigeon_hole @ pigeon3 ) )
| spl0_21
| spl0_27 ),
inference(subsumption_resolution,[status(thm)],[f234,f174]) ).
thf(f174,plain,
( ( hole1
!= ( pigeon_hole @ pigeon3 ) )
| spl0_21 ),
inference(avatar_component_clause,[status(thm)],[f173]) ).
thf(f173,definition,
( spl0_21
<=> ( hole1
= ( pigeon_hole @ pigeon3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_21])],[avatar_definition]) ).
thf(f234,plain,
( ( hole1
= ( pigeon_hole @ pigeon3 ) )
| ( hole2
= ( pigeon_hole @ pigeon3 ) )
| spl0_27 ),
inference(trivial_inequality_removal,[status(thm)],[f233]) ).
thf(f233,plain,
( ( hole3 != hole3 )
| ( hole2
= ( pigeon_hole @ pigeon3 ) )
| ( hole1
= ( pigeon_hole @ pigeon3 ) )
| spl0_27 ),
inference(superposition,[status(thm)],[f201,f121]) ).
thf(f201,plain,
( ( hole3
!= ( pigeon_hole @ pigeon3 ) )
| spl0_27 ),
inference(avatar_component_clause,[status(thm)],[f199]) ).
thf(f199,definition,
( spl0_27
<=> ( hole3
= ( pigeon_hole @ pigeon3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_27])],[avatar_definition]) ).
thf(f228,plain,
( ~ spl0_22
| spl0_8
| ~ spl0_17 ),
inference(avatar_split_clause,[status(thm)],[f222,f156,f75,f177]) ).
thf(f75,definition,
( spl0_8
<=> ( ( pigeon_hole @ pigeon2 )
= ( pigeon_hole @ pigeon3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition]) ).
thf(f222,plain,
( ( hole2
!= ( pigeon_hole @ pigeon3 ) )
| spl0_8
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f77,f158]) ).
thf(f158,plain,
( ( hole2
= ( pigeon_hole @ pigeon2 ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[status(thm)],[f156]) ).
thf(f77,plain,
( ( ( pigeon_hole @ pigeon2 )
!= ( pigeon_hole @ pigeon3 ) )
| spl0_8 ),
inference(avatar_component_clause,[status(thm)],[f75]) ).
thf(f227,plain,
( ~ spl0_26
| spl0_12
| ~ spl0_17 ),
inference(avatar_split_clause,[status(thm)],[f220,f156,f95,f194]) ).
thf(f194,definition,
( spl0_26
<=> ( hole2
= ( pigeon_hole @ pigeon4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_26])],[avatar_definition]) ).
thf(f95,definition,
( spl0_12
<=> ( ( pigeon_hole @ pigeon2 )
= ( pigeon_hole @ pigeon4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition]) ).
thf(f220,plain,
( ( hole2
!= ( pigeon_hole @ pigeon4 ) )
| spl0_12
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f97,f158]) ).
thf(f97,plain,
( ( ( pigeon_hole @ pigeon2 )
!= ( pigeon_hole @ pigeon4 ) )
| spl0_12 ),
inference(avatar_component_clause,[status(thm)],[f95]) ).
thf(f226,plain,
( ~ spl0_28
| spl0_11
| ~ spl0_17 ),
inference(avatar_split_clause,[status(thm)],[f221,f156,f90,f209]) ).
thf(f209,definition,
( spl0_28
<=> ( hole2
= ( pigeon_hole @ pigeon1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_28])],[avatar_definition]) ).
thf(f90,definition,
( spl0_11
<=> ( ( pigeon_hole @ pigeon2 )
= ( pigeon_hole @ pigeon1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition]) ).
thf(f221,plain,
( ( hole2
!= ( pigeon_hole @ pigeon1 ) )
| spl0_11
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f92,f158]) ).
thf(f92,plain,
( ( ( pigeon_hole @ pigeon2 )
!= ( pigeon_hole @ pigeon1 ) )
| spl0_11 ),
inference(avatar_component_clause,[status(thm)],[f90]) ).
thf(f217,plain,
( ( hole1
!= ( pigeon_hole @ pigeon4 ) )
| ( hole1
!= ( pigeon_hole @ pigeon3 ) )
| ( ( pigeon_hole @ pigeon4 )
= ( pigeon_hole @ pigeon3 ) ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f216,plain,
( spl0_28
| spl0_29
| spl0_19 ),
inference(avatar_split_clause,[status(thm)],[f207,f164,f213,f209]) ).
thf(f213,definition,
( spl0_29
<=> ( hole1
= ( pigeon_hole @ pigeon1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_29])],[avatar_definition]) ).
thf(f164,definition,
( spl0_19
<=> ( hole3
= ( pigeon_hole @ pigeon1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_19])],[avatar_definition]) ).
thf(f207,plain,
( ( hole2
= ( pigeon_hole @ pigeon1 ) )
| ( hole1
= ( pigeon_hole @ pigeon1 ) )
| spl0_19 ),
inference(trivial_inequality_removal,[status(thm)],[f206]) ).
thf(f206,plain,
( ( hole3 != hole3 )
| ( hole2
= ( pigeon_hole @ pigeon1 ) )
| ( hole1
= ( pigeon_hole @ pigeon1 ) )
| spl0_19 ),
inference(superposition,[status(thm)],[f166,f121]) ).
thf(f166,plain,
( ( hole3
!= ( pigeon_hole @ pigeon1 ) )
| spl0_19 ),
inference(avatar_component_clause,[status(thm)],[f164]) ).
thf(f204,plain,
( spl0_22
| ~ spl0_19
| spl0_21
| spl0_9 ),
inference(avatar_split_clause,[status(thm)],[f148,f80,f173,f164,f177]) ).
thf(f80,definition,
( spl0_9
<=> ( ( pigeon_hole @ pigeon1 )
= ( pigeon_hole @ pigeon3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition]) ).
thf(f148,plain,
( ( hole2
= ( pigeon_hole @ pigeon3 ) )
| ( hole3
!= ( pigeon_hole @ pigeon1 ) )
| ( hole1
= ( pigeon_hole @ pigeon3 ) )
| spl0_9 ),
inference(superposition,[status(thm)],[f82,f121]) ).
thf(f82,plain,
( ( ( pigeon_hole @ pigeon1 )
!= ( pigeon_hole @ pigeon3 ) )
| spl0_9 ),
inference(avatar_component_clause,[status(thm)],[f80]) ).
thf(f203,plain,
( spl0_25
| spl0_26
| ~ spl0_19
| spl0_10 ),
inference(avatar_split_clause,[status(thm)],[f152,f85,f164,f194,f190]) ).
thf(f190,definition,
( spl0_25
<=> ( hole1
= ( pigeon_hole @ pigeon4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_25])],[avatar_definition]) ).
thf(f85,definition,
( spl0_10
<=> ( ( pigeon_hole @ pigeon1 )
= ( pigeon_hole @ pigeon4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition]) ).
thf(f152,plain,
( ( hole2
= ( pigeon_hole @ pigeon4 ) )
| ( hole3
!= ( pigeon_hole @ pigeon1 ) )
| ( hole1
= ( pigeon_hole @ pigeon4 ) )
| spl0_10 ),
inference(superposition,[status(thm)],[f87,f121]) ).
thf(f87,plain,
( ( ( pigeon_hole @ pigeon1 )
!= ( pigeon_hole @ pigeon4 ) )
| spl0_10 ),
inference(avatar_component_clause,[status(thm)],[f85]) ).
thf(f202,plain,
( ~ spl0_27
| spl0_25
| spl0_26
| spl0_13 ),
inference(avatar_split_clause,[status(thm)],[f150,f100,f194,f190,f199]) ).
thf(f100,definition,
( spl0_13
<=> ( ( pigeon_hole @ pigeon4 )
= ( pigeon_hole @ pigeon3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition]) ).
thf(f150,plain,
( ( hole3
!= ( pigeon_hole @ pigeon3 ) )
| ( hole2
= ( pigeon_hole @ pigeon4 ) )
| ( hole1
= ( pigeon_hole @ pigeon4 ) )
| spl0_13 ),
inference(superposition,[status(thm)],[f102,f121]) ).
thf(f102,plain,
( ( ( pigeon_hole @ pigeon4 )
!= ( pigeon_hole @ pigeon3 ) )
| spl0_13 ),
inference(avatar_component_clause,[status(thm)],[f100]) ).
thf(f197,plain,
( spl0_25
| spl0_26
| ~ spl0_20
| spl0_12 ),
inference(avatar_split_clause,[status(thm)],[f151,f95,f169,f194,f190]) ).
thf(f151,plain,
( ( hole2
= ( pigeon_hole @ pigeon4 ) )
| ( hole1
= ( pigeon_hole @ pigeon4 ) )
| ( hole3
!= ( pigeon_hole @ pigeon2 ) )
| spl0_12 ),
inference(superposition,[status(thm)],[f97,f121]) ).
thf(f167,plain,
( spl0_17
| spl0_18
| ~ spl0_19
| spl0_11 ),
inference(avatar_split_clause,[status(thm)],[f147,f90,f164,f160,f156]) ).
thf(f147,plain,
( ( hole2
= ( pigeon_hole @ pigeon2 ) )
| ( hole1
= ( pigeon_hole @ pigeon2 ) )
| ( hole3
!= ( pigeon_hole @ pigeon1 ) )
| spl0_11 ),
inference(superposition,[status(thm)],[f92,f121]) ).
thf(f109,plain,
( ~ spl0_13
| spl0_3 ),
inference(avatar_split_clause,[status(thm)],[f62,f37,f100]) ).
thf(f37,definition,
( spl0_3
<=> ( pigeon3 = pigeon4 ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
thf(f62,plain,
( ( ( pigeon_hole @ pigeon4 )
!= ( pigeon_hole @ pigeon3 ) )
| spl0_3 ),
inference(extensionality_resolution,[status(thm)],[f24,f39]) ).
thf(f39,plain,
( ( pigeon3 != pigeon4 )
| spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f37]) ).
thf(f24,plain,
! [X0: pigeon,X1: pigeon] :
( ( ( pigeon_hole @ X1 )
!= ( pigeon_hole @ X0 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
thf(f17,plain,
! [X0: pigeon,X1: pigeon] :
( ( X0 = X1 )
| ( ( pigeon_hole @ X1 )
!= ( pigeon_hole @ X0 ) ) ),
inference(rectify,[status(thm)],[f14]) ).
thf(f14,plain,
! [X1: pigeon,X0: pigeon] :
( ( X0 = X1 )
| ( ( pigeon_hole @ X1 )
!= ( pigeon_hole @ X0 ) ) ),
inference(ennf_transformation,[status(thm)],[f13]) ).
thf(f13,plain,
~ ? [X0: pigeon,X1: pigeon] :
( ( ( pigeon_hole @ X1 )
= ( pigeon_hole @ X0 ) )
& ( X0 != X1 ) ),
inference(rectify,[status(thm)],[f9]) ).
thf(f9,negated_conjecture,
~ ? [X2: pigeon,X1: pigeon] :
( ( X1 != X2 )
& ( ( pigeon_hole @ X1 )
= ( pigeon_hole @ X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
thf(f8,conjecture,
? [X2: pigeon,X1: pigeon] :
( ( X1 != X2 )
& ( ( pigeon_hole @ X1 )
= ( pigeon_hole @ X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XbjhLBra3n/DTF2THF_24187.p',sharing_a_hole) ).
thf(f108,plain,
( ~ spl0_11
| spl0_1 ),
inference(avatar_split_clause,[status(thm)],[f64,f27,f90]) ).
thf(f27,definition,
( spl0_1
<=> ( pigeon1 = pigeon2 ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f64,plain,
( ( ( pigeon_hole @ pigeon2 )
!= ( pigeon_hole @ pigeon1 ) )
| spl0_1 ),
inference(extensionality_resolution,[status(thm)],[f24,f29]) ).
thf(f29,plain,
( ( pigeon1 != pigeon2 )
| spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f27]) ).
thf(f107,plain,
( ~ spl0_9
| spl0_4 ),
inference(avatar_split_clause,[status(thm)],[f69,f42,f80]) ).
thf(f42,definition,
( spl0_4
<=> ( pigeon1 = pigeon3 ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
thf(f69,plain,
( ( ( pigeon_hole @ pigeon1 )
!= ( pigeon_hole @ pigeon3 ) )
| spl0_4 ),
inference(extensionality_resolution,[status(thm)],[f24,f44]) ).
thf(f44,plain,
( ( pigeon1 != pigeon3 )
| spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f42]) ).
thf(f106,plain,
( ~ spl0_10
| spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f72,f32,f85]) ).
thf(f32,definition,
( spl0_2
<=> ( pigeon1 = pigeon4 ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f72,plain,
( ( ( pigeon_hole @ pigeon1 )
!= ( pigeon_hole @ pigeon4 ) )
| spl0_2 ),
inference(extensionality_resolution,[status(thm)],[f24,f34]) ).
thf(f34,plain,
( ( pigeon1 != pigeon4 )
| spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f32]) ).
thf(f105,plain,
( ~ spl0_8
| spl0_7 ),
inference(avatar_split_clause,[status(thm)],[f65,f57,f75]) ).
thf(f57,definition,
( spl0_7
<=> ( pigeon2 = pigeon3 ) ),
introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition]) ).
thf(f65,plain,
( ( ( pigeon_hole @ pigeon2 )
!= ( pigeon_hole @ pigeon3 ) )
| spl0_7 ),
inference(extensionality_resolution,[status(thm)],[f24,f59]) ).
thf(f59,plain,
( ( pigeon2 != pigeon3 )
| spl0_7 ),
inference(avatar_component_clause,[status(thm)],[f57]) ).
thf(f104,plain,
( ~ spl0_12
| spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f68,f52,f95]) ).
thf(f52,definition,
( spl0_6
<=> ( pigeon2 = pigeon4 ) ),
introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition]) ).
thf(f68,plain,
( ( ( pigeon_hole @ pigeon2 )
!= ( pigeon_hole @ pigeon4 ) )
| spl0_6 ),
inference(extensionality_resolution,[status(thm)],[f24,f54]) ).
thf(f54,plain,
( ( pigeon2 != pigeon4 )
| spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f52]) ).
thf(f60,plain,
~ spl0_7,
inference(avatar_split_clause,[status(thm)],[f22,f57]) ).
thf(f22,plain,
pigeon2 != pigeon3,
inference(cnf_transformation,[status(thm)],[f4]) ).
thf(f4,axiom,
pigeon2 != pigeon3,
file('/export/starexec/sandbox2/tmp/tmp.XbjhLBra3n/DTF2THF_24187.p',pigeon2pigeon3) ).
thf(f55,plain,
~ spl0_6,
inference(avatar_split_clause,[status(thm)],[f19,f52]) ).
thf(f19,plain,
pigeon2 != pigeon4,
inference(cnf_transformation,[status(thm)],[f6]) ).
thf(f6,axiom,
pigeon2 != pigeon4,
file('/export/starexec/sandbox2/tmp/tmp.XbjhLBra3n/DTF2THF_24187.p',pigeon2pigeon4) ).
thf(f45,plain,
~ spl0_4,
inference(avatar_split_clause,[status(thm)],[f18,f42]) ).
thf(f18,plain,
pigeon1 != pigeon3,
inference(cnf_transformation,[status(thm)],[f3]) ).
thf(f3,axiom,
pigeon1 != pigeon3,
file('/export/starexec/sandbox2/tmp/tmp.XbjhLBra3n/DTF2THF_24187.p',pigeon1pigeon3) ).
thf(f40,plain,
~ spl0_3,
inference(avatar_split_clause,[status(thm)],[f23,f37]) ).
thf(f23,plain,
pigeon3 != pigeon4,
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f7,axiom,
pigeon3 != pigeon4,
file('/export/starexec/sandbox2/tmp/tmp.XbjhLBra3n/DTF2THF_24187.p',pigeon3pigeon4) ).
thf(f35,plain,
~ spl0_2,
inference(avatar_split_clause,[status(thm)],[f20,f32]) ).
thf(f20,plain,
pigeon1 != pigeon4,
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,axiom,
pigeon1 != pigeon4,
file('/export/starexec/sandbox2/tmp/tmp.XbjhLBra3n/DTF2THF_24187.p',pigeon1pigeon4) ).
thf(f30,plain,
~ spl0_1,
inference(avatar_split_clause,[status(thm)],[f25,f27]) ).
thf(f25,plain,
pigeon1 != pigeon2,
inference(cnf_transformation,[status(thm)],[f2]) ).
thf(f2,axiom,
pigeon1 != pigeon2,
file('/export/starexec/sandbox2/tmp/tmp.XbjhLBra3n/DTF2THF_24187.p',pigeon1pigeon2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : MSC007^1.003.004 : TPTP v9.2.1. Released v5.4.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.29 % Computer : n028.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue Feb 24 10:41:41 EST 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.29 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.38 ---- Original DTF file ---
% 0.18/0.38 thf(spec,logic,$$dhol).
% 0.18/0.38 %------------------------------------------------------------------------------
% 0.18/0.38 % File : MSC007^1.003.004 : TPTP v9.2.1. Released v5.4.0.
% 0.18/0.38 % Domain : Miscellaneous
% 0.18/0.38 % Problem : Cook pigeon-hole problem, 4 pigeons and 3 holes
% 0.18/0.38 % Version : Especial.
% 0.18/0.38 % English : Suppose there are N holes and more pigeons to put in the
% 0.18/0.38 % holes. Every pigeon is in a hole and no hole contains more
% 0.18/0.38 % than one pigeon. Prove that some pigoen has no hole.
% 0.18/0.38
% 0.18/0.38 % Refs : [Bro12] Brown (2012), Email to G. Sutcliffe
% 0.18/0.38 % Source : [Bro12]
% 0.18/0.38 % Names :
% 0.18/0.38
% 0.18/0.38 % Status : Theorem
% 0.18/0.38 % Rating : 0.33 v9.1.0, 0.38 v9.0.0, 0.50 v8.2.0, 0.69 v8.1.0, 0.64 v7.5.0, 0.57 v7.4.0, 0.89 v7.2.0, 0.88 v7.1.0, 1.00 v6.3.0, 0.80 v6.2.0, 0.86 v5.5.0, 0.83 v5.4.0
% 0.18/0.38 % Syntax : Number of formulae : 18 ( 6 unt; 10 typ; 0 def)
% 0.18/0.38 % Number of atoms : 8 ( 8 equ; 0 cnn)
% 0.18/0.38 % Maximal formula atoms : 2 ( 1 avg)
% 0.18/0.38 % Number of connectives : 17 ( 7 ~; 0 |; 3 &; 6 @)
% 0.18/0.38 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.18/0.38 % Maximal formula depth : 6 ( 3 avg)
% 0.18/0.38 % Number of types : 3 ( 2 usr)
% 0.18/0.38 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.18/0.38 % Number of symbols : 9 ( 8 usr; 7 con; 0-2 aty)
% 0.18/0.38 % Number of variables : 4 ( 0 ^; 2 !; 2 ?; 4 :)
% 0.18/0.38 % SPC : TH0_THM_EQU_NAR
% 0.18/0.38
% 0.18/0.38 % Comments :
% 0.18/0.38 %------------------------------------------------------------------------------
% 0.18/0.38 thf(hole,type,
% 0.18/0.38 hole: $tType ).
% 0.18/0.38
% 0.18/0.38 thf(pigeon,type,
% 0.18/0.38 pigeon: $tType ).
% 0.18/0.38
% 0.18/0.38 thf(hole1,type,
% 0.18/0.38 hole1: hole ).
% 0.18/0.38
% 0.18/0.38 thf(hole2,type,
% 0.18/0.38 hole2: hole ).
% 0.18/0.38
% 0.18/0.38 thf(hole3,type,
% 0.18/0.38 hole3: hole ).
% 0.18/0.38
% 0.18/0.38 thf(pigeon1,type,
% 0.18/0.38 pigeon1: pigeon ).
% 0.18/0.38
% 0.18/0.38 thf(pigeon2,type,
% 0.18/0.38 pigeon2: pigeon ).
% 0.18/0.38
% 0.18/0.38 thf(pigeon3,type,
% 0.18/0.38 pigeon3: pigeon ).
% 0.18/0.38
% 0.18/0.38 thf(pigeon4,type,
% 0.18/0.38 pigeon4: pigeon ).
% 0.18/0.38
% 0.18/0.38 thf(pigeon_hole_t,type,
% 0.18/0.38 pigeon_hole: pigeon > hole ).
% 0.18/0.38
% 0.18/0.38 thf(holecover,axiom,
% 0.18/0.38 ! [P: hole > $o] :
% 0.18/0.38 ( ( ( P @ hole1 )
% 0.18/0.38 & ( P @ hole2 )
% 0.18/0.38 & ( P @ hole3 ) )
% 0.18/0.38 => ! [X: hole] : ( P @ X ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(pigeon1pigeon2,axiom,
% 0.18/0.38 pigeon1 != pigeon2 ).
% 0.18/0.38
% 0.18/0.38 thf(pigeon1pigeon3,axiom,
% 0.18/0.38 pigeon1 != pigeon3 ).
% 0.18/0.38
% 0.18/0.38 thf(pigeon2pigeon3,axiom,
% 0.18/0.38 pigeon2 != pigeon3 ).
% 0.18/0.38
% 0.18/0.38 thf(pigeon1pigeon4,axiom,
% 0.18/0.38 pigeon1 != pigeon4 ).
% 0.18/0.38
% 0.18/0.38 thf(pigeon2pigeon4,axiom,
% 0.18/0.38 pigeon2 != pigeon4 ).
% 0.18/0.38
% 0.18/0.38 thf(pigeon3pigeon4,axiom,
% 0.18/0.38 pigeon3 != pigeon4 ).
% 0.18/0.38
% 0.18/0.38 % thf(one_in_a_hole,axiom,(
% 0.18/0.38 % ! [X: pigeon,Y: pigeon] :
% 0.18/0.38 % ( ( ( pigeon_hole @ X )
% 0.18/0.38 % = ( pigeon_hole @ Y ) )
% 0.18/0.38 % => ( X = Y ) ) )).
% 0.18/0.38
% 0.18/0.38 thf(sharing_a_hole,conjecture,
% 0.18/0.38 ? [X: pigeon,Y: pigeon] :
% 0.18/0.38 ( ( ( pigeon_hole @ X )
% 0.18/0.38 = ( pigeon_hole @ Y ) )
% 0.18/0.38 & ( X != Y ) ) ).
% 0.18/0.38
% 0.18/0.38 %------------------------------------------------------------------------------
% 0.18/0.38 ------------------------
% 1.41/1.28 ---- Embedded in THF ---
% 1.41/1.28 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.41/1.28 %%% Generated on Tue Feb 24 10:41:42 EST 2026
% 1.41/1.28 %%% using '$$dhol' embedding, version 1.3.0.
% 1.41/1.28 %%% Logic specification used:
% 1.41/1.28 %%% thf(spec, logic, $$dhol).
% 1.41/1.28
% 1.41/1.28 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.XbjhLBra3n/DTF2DTF24187.p
% See solution above
% 1.41/1.28 ------------------------
% 1.41/1.29 ---- Cleaned THF ---
% 1.41/1.29 thf(hole,type,
% 1.41/1.29 hole: $tType ).
% 1.41/1.29
% 1.41/1.29 thf(pigeon,type,
% 1.41/1.29 pigeon: $tType ).
% 1.41/1.29
% 1.41/1.29 thf(hole1,type,
% 1.41/1.29 hole1: hole ).
% 1.41/1.29
% 1.41/1.29 thf(hole2,type,
% 1.41/1.29 hole2: hole ).
% 1.41/1.29
% 1.41/1.29 thf(hole3,type,
% 1.41/1.29 hole3: hole ).
% 1.41/1.29
% 1.41/1.29 thf(pigeon1,type,
% 1.41/1.29 pigeon1: pigeon ).
% 1.41/1.29
% 1.41/1.29 thf(pigeon2,type,
% 1.41/1.29 pigeon2: pigeon ).
% 1.41/1.29
% 1.41/1.29 thf(pigeon3,type,
% 1.41/1.29 pigeon3: pigeon ).
% 1.41/1.29
% 1.41/1.29 thf(pigeon4,type,
% 1.41/1.29 pigeon4: pigeon ).
% 1.41/1.29
% 1.41/1.29 thf(pigeon_hole_t,type,
% 1.41/1.29 pigeon_hole: pigeon > hole ).
% 1.41/1.29
% 1.41/1.29 thf(holecover,axiom,
% 1.41/1.29 ! [P: hole > $o] :
% 1.41/1.29 ( ( ( P @ hole1 )
% 1.41/1.29 & ( P @ hole2 )
% 1.41/1.29 & ( P @ hole3 ) )
% 1.41/1.29 => ! [X: hole] : ( P @ X ) ) ).
% 1.41/1.29
% 1.41/1.29 thf(pigeon1pigeon2,axiom,
% 1.41/1.29 pigeon1 != pigeon2 ).
% 1.41/1.29
% 1.41/1.29 thf(pigeon1pigeon3,axiom,
% 1.41/1.29 pigeon1 != pigeon3 ).
% 1.41/1.29
% 1.41/1.29 thf(pigeon2pigeon3,axiom,
% 1.41/1.29 pigeon2 != pigeon3 ).
% 1.41/1.29
% 1.41/1.29 thf(pigeon1pigeon4,axiom,
% 1.41/1.29 pigeon1 != pigeon4 ).
% 1.41/1.29
% 1.41/1.29 thf(pigeon2pigeon4,axiom,
% 1.41/1.29 pigeon2 != pigeon4 ).
% 1.41/1.29
% 1.41/1.29 thf(pigeon3pigeon4,axiom,
% 1.41/1.29 pigeon3 != pigeon4 ).
% 1.41/1.29
% 1.41/1.29 thf(sharing_a_hole,conjecture,
% 1.41/1.29 ? [X: pigeon,Y: pigeon] :
% 1.41/1.29 ( ( ( pigeon_hole @ X )
% 1.41/1.29 = ( pigeon_hole @ Y ) )
% 1.41/1.29 & ( X != Y ) ) ).
% 1.41/1.29 ------------------------
% 1.59/1.31 % (24286)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/27Mi)
% 1.59/1.31 % (24290)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/18Mi)
% 1.59/1.31 % (24285)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/4Mi)
% 1.59/1.31 % (24284)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/183Mi)
% 1.59/1.31 % (24288)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/2Mi)
% 1.59/1.31 % (24287)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/2Mi)
% 1.59/1.31 % (24289)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/275Mi)
% 1.59/1.32 % (24289)Refutation not found, incomplete strategy
% 1.59/1.32 % (24289)------------------------------
% 1.59/1.32 % (24289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.32 % (24289)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.32
% 1.59/1.32
% 1.59/1.32 % (24289)Memory used [KB]: 5373
% 1.59/1.32 % (24289)Time elapsed: 0.002 s
% 1.59/1.32 % (24289)Instructions burned: 1 (million)
% 1.59/1.32 % (24287)Instruction limit reached!
% 1.59/1.32 % (24287)------------------------------
% 1.59/1.32 % (24287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.32 % (24287)Termination reason: Unknown
% 1.59/1.32 % (24287)Termination phase: Saturation
% 1.59/1.32
% 1.59/1.32 % (24287)Memory used [KB]: 5500
% 1.59/1.32 % (24287)Time elapsed: 0.003 s
% 1.59/1.32 % (24287)Instructions burned: 2 (million)
% 1.59/1.32 % (24287)------------------------------
% 1.59/1.32 % (24287)------------------------------
% 1.59/1.32 % (24289)------------------------------
% 1.59/1.32 % (24289)------------------------------
% 1.59/1.32 % (24288)Instruction limit reached!
% 1.59/1.32 % (24288)------------------------------
% 1.59/1.32 % (24288)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.32 % (24288)Termination reason: Unknown
% 1.59/1.32 % (24288)Termination phase: Saturation
% 1.59/1.32
% 1.59/1.32 % (24288)Memory used [KB]: 5500
% 1.59/1.32 % (24288)Time elapsed: 0.003 s
% 1.59/1.32 % (24288)Instructions burned: 2 (million)
% 1.59/1.32 % (24288)------------------------------
% 1.59/1.32 % (24288)------------------------------
% 1.59/1.32 % (24286)Refutation not found, incomplete strategy
% 1.59/1.32 % (24286)------------------------------
% 1.59/1.32 % (24286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.32 % (24286)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.32
% 1.59/1.32
% 1.59/1.32 % (24286)Memory used [KB]: 5500
% 1.59/1.32 % (24286)Time elapsed: 0.003 s
% 1.59/1.32 % (24286)Instructions burned: 2 (million)
% 1.59/1.32 % (24286)------------------------------
% 1.59/1.32 % (24286)------------------------------
% 1.59/1.32 % (24285)Instruction limit reached!
% 1.59/1.32 % (24285)------------------------------
% 1.59/1.32 % (24285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.32 % (24285)Termination reason: Unknown
% 1.59/1.32 % (24285)Termination phase: Saturation
% 1.59/1.32
% 1.59/1.32 % (24285)Memory used [KB]: 5500
% 1.59/1.32 % (24285)Time elapsed: 0.005 s
% 1.59/1.32 % (24285)Instructions burned: 5 (million)
% 1.59/1.32 % (24285)------------------------------
% 1.59/1.32 % (24285)------------------------------
% 1.59/1.32 % (24290)Instruction limit reached!
% 1.59/1.32 % (24290)------------------------------
% 1.59/1.32 % (24290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.32 % (24290)Termination reason: Unknown
% 1.59/1.32 % (24290)Termination phase: Saturation
% 1.59/1.32
% 1.59/1.32 % (24290)Memory used [KB]: 5500
% 1.59/1.32 % (24290)Time elapsed: 0.011 s
% 1.59/1.32 % (24290)Instructions burned: 18 (million)
% 1.59/1.32 % (24290)------------------------------
% 1.59/1.32 % (24290)------------------------------
% 1.59/1.33 % (24291)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/3Mi)
% 1.59/1.33 % (24292)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/37Mi)
% 1.59/1.33 % (24293)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/15Mi)
% 1.59/1.33 % (24294)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/3Mi)
% 1.59/1.33 % (24293)Refutation not found, incomplete strategy
% 1.59/1.33 % (24293)------------------------------
% 1.59/1.33 % (24293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.33 % (24293)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.33
% 1.59/1.33
% 1.59/1.33 % (24293)Memory used [KB]: 5500
% 1.59/1.33 % (24293)Time elapsed: 0.002 s
% 1.59/1.33 % (24293)Instructions burned: 1 (million)
% 1.59/1.33 % (24293)------------------------------
% 1.59/1.33 % (24293)------------------------------
% 1.59/1.33 % (24295)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/1041Mi)
% 1.59/1.33 % (24294)Refutation not found, incomplete strategy
% 1.59/1.33 % (24294)------------------------------
% 1.59/1.33 % (24294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.33 % (24294)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.33
% 1.59/1.33
% 1.59/1.33 % (24294)Memory used [KB]: 5500
% 1.59/1.33 % (24294)Time elapsed: 0.002 s
% 1.59/1.33 % (24294)Instructions burned: 1 (million)
% 1.59/1.33 % (24294)------------------------------
% 1.59/1.33 % (24294)------------------------------
% 1.59/1.33 % (24291)Refutation not found, incomplete strategy
% 1.59/1.33 % (24291)------------------------------
% 1.59/1.33 % (24291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.33 % (24291)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.33
% 1.59/1.33
% 1.59/1.33 % (24291)Memory used [KB]: 5500
% 1.59/1.33 % (24291)Time elapsed: 0.003 s
% 1.59/1.33 % (24291)Instructions burned: 2 (million)
% 1.59/1.33 % (24291)------------------------------
% 1.59/1.33 % (24291)------------------------------
% 1.59/1.34 % (24296)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/7Mi)
% 1.59/1.34 % (24296)Instruction limit reached!
% 1.59/1.34 % (24296)------------------------------
% 1.59/1.34 % (24296)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.34 % (24296)Termination reason: Unknown
% 1.59/1.34 % (24296)Termination phase: Saturation
% 1.59/1.34
% 1.59/1.34 % (24296)Memory used [KB]: 1023
% 1.59/1.34 % (24296)Time elapsed: 0.006 s
% 1.59/1.34 % (24296)Instructions burned: 8 (million)
% 1.59/1.34 % (24296)------------------------------
% 1.59/1.34 % (24296)------------------------------
% 1.59/1.35 % (24297)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/16Mi)
% 1.59/1.35 % (24298)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/3Mi)
% 1.59/1.35 % (24292)Instruction limit reached!
% 1.59/1.35 % (24292)------------------------------
% 1.59/1.35 % (24292)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (24292)Termination reason: Unknown
% 1.59/1.35 % (24292)Termination phase: Saturation
% 1.59/1.35
% 1.59/1.35 % (24292)Memory used [KB]: 5756
% 1.59/1.35 % (24292)Time elapsed: 0.020 s
% 1.59/1.35 % (24299)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/3Mi)
% 1.59/1.35 % (24292)Instructions burned: 37 (million)
% 1.59/1.35 % (24292)------------------------------
% 1.59/1.35 % (24292)------------------------------
% 1.59/1.35 % (24299)Instruction limit reached!
% 1.59/1.35 % (24299)------------------------------
% 1.59/1.35 % (24299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (24299)Termination reason: Unknown
% 1.59/1.35 % (24299)Termination phase: Saturation
% 1.59/1.35
% 1.59/1.35 % (24299)Memory used [KB]: 1023
% 1.59/1.35 % (24299)Time elapsed: 0.003 s
% 1.59/1.35 % (24299)Instructions burned: 3 (million)
% 1.59/1.35 % (24299)------------------------------
% 1.59/1.35 % (24299)------------------------------
% 1.59/1.35 % (24298)Instruction limit reached!
% 1.59/1.35 % (24298)------------------------------
% 1.59/1.35 % (24298)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (24298)Termination reason: Unknown
% 1.59/1.35 % (24298)Termination phase: Saturation
% 1.59/1.35
% 1.59/1.35 % (24298)Memory used [KB]: 5500
% 1.59/1.35 % (24298)Time elapsed: 0.004 s
% 1.59/1.35 % (24298)Instructions burned: 4 (million)
% 1.59/1.35 % (24298)------------------------------
% 1.59/1.35 % (24298)------------------------------
% 1.59/1.36 % (24297)Instruction limit reached!
% 1.59/1.36 % (24297)------------------------------
% 1.59/1.36 % (24297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.36 % (24297)Termination reason: Unknown
% 1.59/1.36 % (24297)Termination phase: Saturation
% 1.59/1.36
% 1.59/1.36 % (24297)Memory used [KB]: 5500
% 1.59/1.36 % (24297)Time elapsed: 0.010 s
% 1.59/1.36 % (24297)Instructions burned: 17 (million)
% 1.59/1.36 % (24297)------------------------------
% 1.59/1.36 % (24297)------------------------------
% 1.59/1.36 % (24300)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/7Mi)
% 1.59/1.36 % (24300)Instruction limit reached!
% 1.59/1.36 % (24300)------------------------------
% 1.59/1.36 % (24300)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.36 % (24300)Termination reason: Unknown
% 1.59/1.36 % (24300)Termination phase: Saturation
% 1.59/1.36
% 1.59/1.36 % (24300)Memory used [KB]: 5500
% 1.59/1.36 % (24300)Time elapsed: 0.005 s
% 1.59/1.36 % (24300)Instructions burned: 7 (million)
% 1.59/1.36 % (24300)------------------------------
% 1.59/1.36 % (24300)------------------------------
% 1.59/1.37 % (24301)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/3Mi)
% 1.59/1.37 % (24301)Instruction limit reached!
% 1.59/1.37 % (24301)------------------------------
% 1.59/1.37 % (24301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.37 % (24302)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/4Mi)
% 1.59/1.37 % (24301)Termination reason: Unknown
% 1.59/1.37 % (24301)Termination phase: Saturation
% 1.59/1.37
% 1.59/1.37 % (24301)Memory used [KB]: 5500
% 1.59/1.37 % (24301)Time elapsed: 0.003 s
% 1.59/1.37 % (24301)Instructions burned: 3 (million)
% 1.59/1.37 % (24301)------------------------------
% 1.59/1.37 % (24301)------------------------------
% 1.59/1.37 % (24303)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/18Mi)
% 1.59/1.37 % (24303)Refutation not found, incomplete strategy
% 1.59/1.37 % (24303)------------------------------
% 1.59/1.37 % (24303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.37 % (24303)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.37
% 1.59/1.37
% 1.59/1.37 % (24303)Memory used [KB]: 5500
% 1.59/1.37 % (24303)Time elapsed: 0.002 s
% 1.59/1.37 % (24303)Instructions burned: 1 (million)
% 1.59/1.37 % (24303)------------------------------
% 1.59/1.37 % (24303)------------------------------
% 1.59/1.37 % (24302)Instruction limit reached!
% 1.59/1.37 % (24302)------------------------------
% 1.59/1.37 % (24302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.37 % (24302)Termination reason: Unknown
% 1.59/1.37 % (24302)Termination phase: Saturation
% 1.59/1.37
% 1.59/1.37 % (24302)Memory used [KB]: 5500
% 1.59/1.37 % (24302)Time elapsed: 0.004 s
% 1.59/1.37 % (24302)Instructions burned: 4 (million)
% 1.59/1.37 % (24302)------------------------------
% 1.59/1.37 % (24302)------------------------------
% 1.59/1.37 % (24304)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/710Mi)
% 1.59/1.38 % (24305)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/6Mi)
% 1.59/1.38 % (24305)Instruction limit reached!
% 1.59/1.38 % (24305)------------------------------
% 1.59/1.38 % (24305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.38 % (24305)Termination reason: Unknown
% 1.59/1.38 % (24305)Termination phase: Saturation
% 1.59/1.38
% 1.59/1.38 % (24305)Memory used [KB]: 5500
% 1.59/1.38 % (24305)Time elapsed: 0.005 s
% 1.59/1.38 % (24305)Instructions burned: 6 (million)
% 1.59/1.38 % (24305)------------------------------
% 1.59/1.38 % (24305)------------------------------
% 1.59/1.38 % (24306)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/902Mi)
% 1.59/1.38 % (24306)Refutation not found, incomplete strategy
% 1.59/1.38 % (24306)------------------------------
% 1.59/1.38 % (24306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.38 % (24306)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.38
% 1.59/1.38
% 1.59/1.38 % (24306)Memory used [KB]: 5373
% 1.59/1.38 % (24306)Time elapsed: 0.002 s
% 1.59/1.38 % (24306)Instructions burned: 1 (million)
% 1.59/1.38 % (24306)------------------------------
% 1.59/1.38 % (24306)------------------------------
% 1.59/1.39 % (24308)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/5Mi)
% 1.59/1.39 % (24307)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/21Mi)
% 1.59/1.39 % (24284)Instruction limit reached!
% 1.59/1.39 % (24284)------------------------------
% 1.59/1.39 % (24284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.39 % (24284)Termination reason: Unknown
% 1.59/1.39 % (24284)Termination phase: Saturation
% 1.59/1.39
% 1.59/1.39 % (24284)Memory used [KB]: 5628
% 1.59/1.39 % (24284)Time elapsed: 0.076 s
% 1.59/1.39 % (24284)Instructions burned: 185 (million)
% 1.59/1.39 % (24284)------------------------------
% 1.59/1.39 % (24284)------------------------------
% 1.59/1.39 % (24308)Instruction limit reached!
% 1.59/1.39 % (24308)------------------------------
% 1.59/1.39 % (24308)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.39 % (24308)Termination reason: Unknown
% 1.59/1.39 % (24308)Termination phase: Saturation
% 1.59/1.39
% 1.59/1.39 % (24308)Memory used [KB]: 5500
% 1.59/1.39 % (24308)Time elapsed: 0.004 s
% 1.59/1.39 % (24308)Instructions burned: 5 (million)
% 1.59/1.39 % (24308)------------------------------
% 1.59/1.39 % (24308)------------------------------
% 1.59/1.40 % (24307)Instruction limit reached!
% 1.59/1.40 % (24307)------------------------------
% 1.59/1.40 % (24307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.40 % (24307)Termination reason: Unknown
% 1.59/1.40 % (24307)Termination phase: Saturation
% 1.59/1.40
% 1.59/1.40 % (24307)Memory used [KB]: 5628
% 1.59/1.40 % (24307)Time elapsed: 0.013 s
% 1.59/1.40 % (24307)Instructions burned: 21 (million)
% 1.59/1.40 % (24307)------------------------------
% 1.59/1.40 % (24307)------------------------------
% 1.59/1.40 % (24309)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/6Mi)
% 1.59/1.40 % (24310)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/377Mi)
% 1.59/1.40 % (24309)Refutation not found, incomplete strategy
% 1.59/1.40 % (24309)------------------------------
% 1.59/1.40 % (24309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.40 % (24309)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.40
% 1.59/1.40
% 1.59/1.40 % (24309)Memory used [KB]: 5500
% 1.59/1.40 % (24309)Time elapsed: 0.003 s
% 1.59/1.40 % (24309)Instructions burned: 3 (million)
% 1.59/1.40 % (24309)------------------------------
% 1.59/1.40 % (24309)------------------------------
% 1.59/1.40 % (24311)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/779Mi)
% 1.59/1.40 % (24312)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/19Mi)
% 1.59/1.41 % (24312)Refutation not found, incomplete strategy
% 1.59/1.41 % (24312)------------------------------
% 1.59/1.41 % (24312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.41 % (24312)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.41
% 1.59/1.41
% 1.59/1.41 % (24312)Memory used [KB]: 5500
% 1.59/1.41 % (24312)Time elapsed: 0.003 s
% 1.59/1.41 % (24312)Instructions burned: 1 (million)
% 1.59/1.41 % (24312)------------------------------
% 1.59/1.41 % (24312)------------------------------
% 1.59/1.41 % (24311)Refutation not found, incomplete strategy
% 1.59/1.41 % (24311)------------------------------
% 1.59/1.41 % (24311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.41 % (24311)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.41
% 1.59/1.41
% 1.59/1.41 % (24311)Memory used [KB]: 5500
% 1.59/1.41 % (24311)Time elapsed: 0.003 s
% 1.59/1.41 % (24311)Instructions burned: 3 (million)
% 1.59/1.41 % (24311)------------------------------
% 1.59/1.41 % (24311)------------------------------
% 1.59/1.41 % (24313)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/879Mi)
% 1.59/1.42 % (24314)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/17Mi)
% 1.59/1.42 % (24315)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/3Mi)
% 1.59/1.42 % (24316)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_24187 for (2999ds/30Mi)
% 1.59/1.42 % (24314)First to succeed.
% 1.59/1.42 % (24315)Instruction limit reached!
% 1.59/1.42 % (24315)------------------------------
% 1.59/1.42 % (24315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.42 % (24315)Termination reason: Unknown
% 1.59/1.42 % (24315)Termination phase: Saturation
% 1.59/1.42
% 1.59/1.42 % (24315)Memory used [KB]: 1023
% 1.59/1.42 % (24315)Time elapsed: 0.003 s
% 1.59/1.42 % (24315)Instructions burned: 3 (million)
% 1.59/1.42 % (24315)------------------------------
% 1.59/1.42 % (24315)------------------------------
% 1.59/1.43 % (24316)Refutation not found, incomplete strategy
% 1.59/1.43 % (24316)------------------------------
% 1.59/1.43 % (24316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.43 % (24316)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.43
% 1.59/1.43
% 1.59/1.43 % (24316)Memory used [KB]: 5500
% 1.59/1.43 % (24316)Time elapsed: 0.003 s
% 1.59/1.43 % (24316)Instructions burned: 3 (million)
% 1.59/1.43 % (24316)------------------------------
% 1.59/1.43 % (24316)------------------------------
% 1.59/1.43 % (24314)Refutation found. Thanks to Tanya!
% 1.59/1.43 % SZS status Theorem for DTF2THF_24187
% 1.59/1.43 % SZS output start Proof for DTF2THF_24187
% 1.59/1.43 thf(type_def_5, type, hole: $tType).
% 1.59/1.43 thf(type_def_6, type, pigeon: $tType).
% 1.59/1.43 thf(func_def_0, type, hole: $tType).
% 1.59/1.43 thf(func_def_1, type, pigeon: $tType).
% 1.59/1.43 thf(func_def_2, type, hole1: hole).
% 1.59/1.43 thf(func_def_3, type, hole2: hole).
% 1.59/1.43 thf(func_def_4, type, hole3: hole).
% 1.59/1.43 thf(func_def_5, type, pigeon1: pigeon).
% 1.59/1.43 thf(func_def_6, type, pigeon2: pigeon).
% 1.59/1.43 thf(func_def_7, type, pigeon3: pigeon).
% 1.59/1.43 thf(func_def_8, type, pigeon4: pigeon).
% 1.59/1.43 thf(func_def_9, type, pigeon_hole: pigeon > hole).
% 1.59/1.43 thf(func_def_15, type, ph1: !>[X0: $tType]:(X0)).
% 1.59/1.43 thf(f255,plain,(
% 1.59/1.43 $false),
% 1.59/1.43 inference(avatar_sat_refutation,[status(thm)],[f30,f35,f40,f45,f55,f60,f104,f105,f106,f107,f108,f109,f167,f197,f202,f203,f204,f216,f217,f226,f227,f228,f237,f238,f243,f244,f245,f246,f247,f248,f249,f252,f254])).
% 1.59/1.43 thf(f254,plain,(
% 1.59/1.43 (hole3 != (pigeon_hole @ pigeon2)) | (hole3 != (pigeon_hole @ pigeon3)) | ((pigeon_hole @ pigeon2) = (pigeon_hole @ pigeon3))),
% 1.59/1.43 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.59/1.43 thf(f252,plain,(
% 1.59/1.43 (hole2 != (pigeon_hole @ pigeon4)) | (hole2 != (pigeon_hole @ pigeon3)) | ((pigeon_hole @ pigeon4) = (pigeon_hole @ pigeon3))),
% 1.59/1.43 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.59/1.43 thf(f249,plain,(
% 1.59/1.43 (hole1 != (pigeon_hole @ pigeon1)) | (hole1 != (pigeon_hole @ pigeon2)) | ((pigeon_hole @ pigeon2) = (pigeon_hole @ pigeon1))),
% 1.59/1.43 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.59/1.43 thf(f248,plain,(
% 1.59/1.43 (hole2 != (pigeon_hole @ pigeon1)) | (hole2 != (pigeon_hole @ pigeon4)) | ((pigeon_hole @ pigeon1) = (pigeon_hole @ pigeon4))),
% 1.59/1.43 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.59/1.43 thf(f247,plain,(
% 1.59/1.43 (hole2 != (pigeon_hole @ pigeon1)) | (hole2 != (pigeon_hole @ pigeon3)) | ((pigeon_hole @ pigeon1) = (pigeon_hole @ pigeon3))),
% 1.59/1.43 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.59/1.43 thf(f246,plain,(
% 1.59/1.43 (hole1 != (pigeon_hole @ pigeon3)) | (hole1 != (pigeon_hole @ pigeon2)) | ((pigeon_hole @ pigeon2) = (pigeon_hole @ pigeon3))),
% 1.59/1.43 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.59/1.43 thf(f245,plain,(
% 1.59/1.43 (hole1 != (pigeon_hole @ pigeon1)) | (hole1 != (pigeon_hole @ pigeon3)) | ((pigeon_hole @ pigeon1) = (pigeon_hole @ pigeon3))),
% 1.59/1.43 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.59/1.43 thf(f244,plain,(
% 1.59/1.43 (hole1 != (pigeon_hole @ pigeon4)) | (hole1 != (pigeon_hole @ pigeon2)) | ((pigeon_hole @ pigeon2) = (pigeon_hole @ pigeon4))),
% 1.59/1.43 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.59/1.43 thf(f243,plain,(
% 1.59/1.43 spl0_18 | spl0_17 | spl0_20),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f242,f169,f156,f160])).
% 1.59/1.43 thf(f160,definition,(
% 1.59/1.43 spl0_18 <=> (hole1 = (pigeon_hole @ pigeon2))),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_18])],[avatar_definition])).
% 1.59/1.43 thf(f156,definition,(
% 1.59/1.43 spl0_17 <=> (hole2 = (pigeon_hole @ pigeon2))),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_17])],[avatar_definition])).
% 1.59/1.43 thf(f169,definition,(
% 1.59/1.43 spl0_20 <=> (hole3 = (pigeon_hole @ pigeon2))),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_20])],[avatar_definition])).
% 1.59/1.43 thf(f242,plain,(
% 1.59/1.43 (hole1 = (pigeon_hole @ pigeon2)) | (spl0_17 | spl0_20)),
% 1.59/1.43 inference(subsumption_resolution,[status(thm)],[f241,f157])).
% 1.59/1.43 thf(f157,plain,(
% 1.59/1.43 (hole2 != (pigeon_hole @ pigeon2)) | spl0_17),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f156])).
% 1.59/1.43 thf(f241,plain,(
% 1.59/1.43 (hole2 = (pigeon_hole @ pigeon2)) | (hole1 = (pigeon_hole @ pigeon2)) | spl0_20),
% 1.59/1.43 inference(trivial_inequality_removal,[status(thm)],[f240])).
% 1.59/1.43 thf(f240,plain,(
% 1.59/1.43 (hole1 = (pigeon_hole @ pigeon2)) | (hole3 != hole3) | (hole2 = (pigeon_hole @ pigeon2)) | spl0_20),
% 1.59/1.43 inference(superposition,[status(thm)],[f171,f121])).
% 1.59/1.43 thf(f121,plain,(
% 1.59/1.43 ( ! [X0 : hole] : ((hole3 = X0) | (hole1 = X0) | (hole2 = X0)) )),
% 1.59/1.43 inference(equality_proxy_clausification,[status(thm)],[f120])).
% 1.59/1.43 thf(f120,plain,(
% 1.59/1.43 ( ! [X0 : hole] : (($true = (X0 = hole2)) | (hole1 = X0) | (hole3 = X0)) )),
% 1.59/1.43 inference(equality_proxy_clausification,[status(thm)],[f119])).
% 1.59/1.43 thf(f119,plain,(
% 1.59/1.43 ( ! [X0 : hole] : (($true = (X0 = hole3)) | ($true = (X0 = hole2)) | (hole1 = X0)) )),
% 1.59/1.43 inference(not_proxy_clausification,[status(thm)],[f118])).
% 1.59/1.43 thf(f118,plain,(
% 1.59/1.43 ( ! [X0 : hole] : (($true != (~ (X0 = hole2))) | ($true = (X0 = hole3)) | (hole1 = X0)) )),
% 1.59/1.43 inference(not_proxy_clausification,[status(thm)],[f117])).
% 1.59/1.43 thf(f117,plain,(
% 1.59/1.43 ( ! [X0 : hole] : ((hole1 = X0) | ((~ (X0 = hole3)) != $true) | ($true != (~ (X0 = hole2)))) )),
% 1.59/1.43 inference(beta_eta_normalization,[status(thm)],[f111])).
% 1.59/1.43 thf(f111,plain,(
% 1.59/1.43 ( ! [X0 : hole] : ((hole1 = X0) | (((^[Y0 : hole]: (~ (X0 = Y0))) @ hole3) != $true) | (((^[Y0 : hole]: (~ (X0 = Y0))) @ hole2) != $true)) )),
% 1.59/1.43 inference(leibniz_equality_elimination,[status(thm)],[f21])).
% 1.59/1.43 thf(f21,plain,(
% 1.59/1.43 ( ! [X0 : hole > $o,X1 : hole] : (((X0 @ X1) = $true) | ((X0 @ hole1) != $true) | ((X0 @ hole3) != $true) | ((X0 @ hole2) != $true)) )),
% 1.59/1.43 inference(cnf_transformation,[status(thm)],[f16])).
% 1.59/1.43 thf(f16,plain,(
% 1.59/1.43 ! [X0 : hole > $o] : (((X0 @ hole2) != $true) | ((X0 @ hole3) != $true) | ((X0 @ hole1) != $true) | ! [X1 : hole] : ((X0 @ X1) = $true))),
% 1.59/1.43 inference(flattening,[status(thm)],[f15])).
% 1.59/1.43 thf(f15,plain,(
% 1.59/1.43 ! [X0 : hole > $o] : (! [X1 : hole] : ((X0 @ X1) = $true) | (((X0 @ hole1) != $true) | ((X0 @ hole2) != $true) | ((X0 @ hole3) != $true)))),
% 1.59/1.43 inference(ennf_transformation,[status(thm)],[f12])).
% 1.59/1.43 thf(f12,plain,(
% 1.59/1.43 ! [X0 : hole > $o] : ((((X0 @ hole1) = $true) & ((X0 @ hole2) = $true) & ((X0 @ hole3) = $true)) => ! [X1 : hole] : ((X0 @ X1) = $true))),
% 1.59/1.43 inference(fool_elimination,[status(thm)],[f11])).
% 1.59/1.43 thf(f11,plain,(
% 1.59/1.43 ! [X0 : hole > $o] : (((X0 @ hole2) & (X0 @ hole3) & (X0 @ hole1)) => ! [X1 : hole] : (X0 @ X1))),
% 1.59/1.43 inference(rectify,[status(thm)],[f1])).
% 1.59/1.43 thf(f1,axiom,(
% 1.59/1.43 ! [X0 : hole > $o] : (((X0 @ hole2) & (X0 @ hole3) & (X0 @ hole1)) => ! [X1 : hole] : (X0 @ X1))),
% 1.59/1.43 file('/export/starexec/sandbox2/tmp/tmp.XbjhLBra3n/DTF2THF_24187.p',holecover)).
% 1.59/1.43 thf(f171,plain,(
% 1.59/1.43 (hole3 != (pigeon_hole @ pigeon2)) | spl0_20),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f169])).
% 1.59/1.43 thf(f238,plain,(
% 1.59/1.43 (hole1 != (pigeon_hole @ pigeon1)) | (hole1 != (pigeon_hole @ pigeon4)) | ((pigeon_hole @ pigeon1) = (pigeon_hole @ pigeon4))),
% 1.59/1.43 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.59/1.43 thf(f237,plain,(
% 1.59/1.43 spl0_21 | spl0_22 | spl0_27),
% 1.59/1.43 inference(avatar_contradiction_clause,[status(thm)],[f236])).
% 1.59/1.43 thf(f236,plain,(
% 1.59/1.43 $false | (spl0_21 | spl0_22 | spl0_27)),
% 1.59/1.43 inference(subsumption_resolution,[status(thm)],[f235,f178])).
% 1.59/1.43 thf(f178,plain,(
% 1.59/1.43 (hole2 != (pigeon_hole @ pigeon3)) | spl0_22),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f177])).
% 1.59/1.43 thf(f177,definition,(
% 1.59/1.43 spl0_22 <=> (hole2 = (pigeon_hole @ pigeon3))),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_22])],[avatar_definition])).
% 1.59/1.43 thf(f235,plain,(
% 1.59/1.43 (hole2 = (pigeon_hole @ pigeon3)) | (spl0_21 | spl0_27)),
% 1.59/1.43 inference(subsumption_resolution,[status(thm)],[f234,f174])).
% 1.59/1.43 thf(f174,plain,(
% 1.59/1.43 (hole1 != (pigeon_hole @ pigeon3)) | spl0_21),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f173])).
% 1.59/1.43 thf(f173,definition,(
% 1.59/1.43 spl0_21 <=> (hole1 = (pigeon_hole @ pigeon3))),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_21])],[avatar_definition])).
% 1.59/1.43 thf(f234,plain,(
% 1.59/1.43 (hole1 = (pigeon_hole @ pigeon3)) | (hole2 = (pigeon_hole @ pigeon3)) | spl0_27),
% 1.59/1.43 inference(trivial_inequality_removal,[status(thm)],[f233])).
% 1.59/1.43 thf(f233,plain,(
% 1.59/1.43 (hole3 != hole3) | (hole2 = (pigeon_hole @ pigeon3)) | (hole1 = (pigeon_hole @ pigeon3)) | spl0_27),
% 1.59/1.43 inference(superposition,[status(thm)],[f201,f121])).
% 1.59/1.43 thf(f201,plain,(
% 1.59/1.43 (hole3 != (pigeon_hole @ pigeon3)) | spl0_27),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f199])).
% 1.59/1.43 thf(f199,definition,(
% 1.59/1.43 spl0_27 <=> (hole3 = (pigeon_hole @ pigeon3))),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_27])],[avatar_definition])).
% 1.59/1.43 thf(f228,plain,(
% 1.59/1.43 ~spl0_22 | spl0_8 | ~spl0_17),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f222,f156,f75,f177])).
% 1.59/1.43 thf(f75,definition,(
% 1.59/1.43 spl0_8 <=> ((pigeon_hole @ pigeon2) = (pigeon_hole @ pigeon3))),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition])).
% 1.59/1.43 thf(f222,plain,(
% 1.59/1.43 (hole2 != (pigeon_hole @ pigeon3)) | (spl0_8 | ~spl0_17)),
% 1.59/1.43 inference(backward_demodulation,[status(thm)],[f77,f158])).
% 1.59/1.43 thf(f158,plain,(
% 1.59/1.43 (hole2 = (pigeon_hole @ pigeon2)) | ~spl0_17),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f156])).
% 1.59/1.43 thf(f77,plain,(
% 1.59/1.43 ((pigeon_hole @ pigeon2) != (pigeon_hole @ pigeon3)) | spl0_8),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f75])).
% 1.59/1.43 thf(f227,plain,(
% 1.59/1.43 ~spl0_26 | spl0_12 | ~spl0_17),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f220,f156,f95,f194])).
% 1.59/1.43 thf(f194,definition,(
% 1.59/1.43 spl0_26 <=> (hole2 = (pigeon_hole @ pigeon4))),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_26])],[avatar_definition])).
% 1.59/1.43 thf(f95,definition,(
% 1.59/1.43 spl0_12 <=> ((pigeon_hole @ pigeon2) = (pigeon_hole @ pigeon4))),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition])).
% 1.59/1.43 thf(f220,plain,(
% 1.59/1.43 (hole2 != (pigeon_hole @ pigeon4)) | (spl0_12 | ~spl0_17)),
% 1.59/1.43 inference(backward_demodulation,[status(thm)],[f97,f158])).
% 1.59/1.43 thf(f97,plain,(
% 1.59/1.43 ((pigeon_hole @ pigeon2) != (pigeon_hole @ pigeon4)) | spl0_12),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f95])).
% 1.59/1.43 thf(f226,plain,(
% 1.59/1.43 ~spl0_28 | spl0_11 | ~spl0_17),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f221,f156,f90,f209])).
% 1.59/1.43 thf(f209,definition,(
% 1.59/1.43 spl0_28 <=> (hole2 = (pigeon_hole @ pigeon1))),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_28])],[avatar_definition])).
% 1.59/1.43 thf(f90,definition,(
% 1.59/1.43 spl0_11 <=> ((pigeon_hole @ pigeon2) = (pigeon_hole @ pigeon1))),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition])).
% 1.59/1.43 thf(f221,plain,(
% 1.59/1.43 (hole2 != (pigeon_hole @ pigeon1)) | (spl0_11 | ~spl0_17)),
% 1.59/1.43 inference(backward_demodulation,[status(thm)],[f92,f158])).
% 1.59/1.43 thf(f92,plain,(
% 1.59/1.43 ((pigeon_hole @ pigeon2) != (pigeon_hole @ pigeon1)) | spl0_11),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f90])).
% 1.59/1.43 thf(f217,plain,(
% 1.59/1.43 (hole1 != (pigeon_hole @ pigeon4)) | (hole1 != (pigeon_hole @ pigeon3)) | ((pigeon_hole @ pigeon4) = (pigeon_hole @ pigeon3))),
% 1.59/1.43 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.59/1.43 thf(f216,plain,(
% 1.59/1.43 spl0_28 | spl0_29 | spl0_19),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f207,f164,f213,f209])).
% 1.59/1.43 thf(f213,definition,(
% 1.59/1.43 spl0_29 <=> (hole1 = (pigeon_hole @ pigeon1))),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_29])],[avatar_definition])).
% 1.59/1.43 thf(f164,definition,(
% 1.59/1.43 spl0_19 <=> (hole3 = (pigeon_hole @ pigeon1))),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_19])],[avatar_definition])).
% 1.59/1.43 thf(f207,plain,(
% 1.59/1.43 (hole2 = (pigeon_hole @ pigeon1)) | (hole1 = (pigeon_hole @ pigeon1)) | spl0_19),
% 1.59/1.43 inference(trivial_inequality_removal,[status(thm)],[f206])).
% 1.59/1.43 thf(f206,plain,(
% 1.59/1.43 (hole3 != hole3) | (hole2 = (pigeon_hole @ pigeon1)) | (hole1 = (pigeon_hole @ pigeon1)) | spl0_19),
% 1.59/1.43 inference(superposition,[status(thm)],[f166,f121])).
% 1.59/1.43 thf(f166,plain,(
% 1.59/1.43 (hole3 != (pigeon_hole @ pigeon1)) | spl0_19),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f164])).
% 1.59/1.43 thf(f204,plain,(
% 1.59/1.43 spl0_22 | ~spl0_19 | spl0_21 | spl0_9),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f148,f80,f173,f164,f177])).
% 1.59/1.43 thf(f80,definition,(
% 1.59/1.43 spl0_9 <=> ((pigeon_hole @ pigeon1) = (pigeon_hole @ pigeon3))),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])).
% 1.59/1.43 thf(f148,plain,(
% 1.59/1.43 (hole2 = (pigeon_hole @ pigeon3)) | (hole3 != (pigeon_hole @ pigeon1)) | (hole1 = (pigeon_hole @ pigeon3)) | spl0_9),
% 1.59/1.43 inference(superposition,[status(thm)],[f82,f121])).
% 1.59/1.43 thf(f82,plain,(
% 1.59/1.43 ((pigeon_hole @ pigeon1) != (pigeon_hole @ pigeon3)) | spl0_9),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f80])).
% 1.59/1.43 thf(f203,plain,(
% 1.59/1.43 spl0_25 | spl0_26 | ~spl0_19 | spl0_10),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f152,f85,f164,f194,f190])).
% 1.59/1.43 thf(f190,definition,(
% 1.59/1.43 spl0_25 <=> (hole1 = (pigeon_hole @ pigeon4))),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_25])],[avatar_definition])).
% 1.59/1.43 thf(f85,definition,(
% 1.59/1.43 spl0_10 <=> ((pigeon_hole @ pigeon1) = (pigeon_hole @ pigeon4))),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition])).
% 1.59/1.43 thf(f152,plain,(
% 1.59/1.43 (hole2 = (pigeon_hole @ pigeon4)) | (hole3 != (pigeon_hole @ pigeon1)) | (hole1 = (pigeon_hole @ pigeon4)) | spl0_10),
% 1.59/1.43 inference(superposition,[status(thm)],[f87,f121])).
% 1.59/1.43 thf(f87,plain,(
% 1.59/1.43 ((pigeon_hole @ pigeon1) != (pigeon_hole @ pigeon4)) | spl0_10),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f85])).
% 1.59/1.43 thf(f202,plain,(
% 1.59/1.43 ~spl0_27 | spl0_25 | spl0_26 | spl0_13),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f150,f100,f194,f190,f199])).
% 1.59/1.43 thf(f100,definition,(
% 1.59/1.43 spl0_13 <=> ((pigeon_hole @ pigeon4) = (pigeon_hole @ pigeon3))),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition])).
% 1.59/1.43 thf(f150,plain,(
% 1.59/1.43 (hole3 != (pigeon_hole @ pigeon3)) | (hole2 = (pigeon_hole @ pigeon4)) | (hole1 = (pigeon_hole @ pigeon4)) | spl0_13),
% 1.59/1.43 inference(superposition,[status(thm)],[f102,f121])).
% 1.59/1.43 thf(f102,plain,(
% 1.59/1.43 ((pigeon_hole @ pigeon4) != (pigeon_hole @ pigeon3)) | spl0_13),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f100])).
% 1.59/1.43 thf(f197,plain,(
% 1.59/1.43 spl0_25 | spl0_26 | ~spl0_20 | spl0_12),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f151,f95,f169,f194,f190])).
% 1.59/1.43 thf(f151,plain,(
% 1.59/1.43 (hole2 = (pigeon_hole @ pigeon4)) | (hole1 = (pigeon_hole @ pigeon4)) | (hole3 != (pigeon_hole @ pigeon2)) | spl0_12),
% 1.59/1.43 inference(superposition,[status(thm)],[f97,f121])).
% 1.59/1.43 thf(f167,plain,(
% 1.59/1.43 spl0_17 | spl0_18 | ~spl0_19 | spl0_11),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f147,f90,f164,f160,f156])).
% 1.59/1.43 thf(f147,plain,(
% 1.59/1.43 (hole2 = (pigeon_hole @ pigeon2)) | (hole1 = (pigeon_hole @ pigeon2)) | (hole3 != (pigeon_hole @ pigeon1)) | spl0_11),
% 1.59/1.43 inference(superposition,[status(thm)],[f92,f121])).
% 1.59/1.43 thf(f109,plain,(
% 1.59/1.43 ~spl0_13 | spl0_3),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f62,f37,f100])).
% 1.59/1.43 thf(f37,definition,(
% 1.59/1.43 spl0_3 <=> (pigeon3 = pigeon4)),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 1.59/1.43 thf(f62,plain,(
% 1.59/1.43 ((pigeon_hole @ pigeon4) != (pigeon_hole @ pigeon3)) | spl0_3),
% 1.59/1.43 inference(extensionality_resolution,[status(thm)],[f24,f39])).
% 1.59/1.43 thf(f39,plain,(
% 1.59/1.43 (pigeon3 != pigeon4) | spl0_3),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f37])).
% 1.59/1.43 thf(f24,plain,(
% 1.59/1.43 ( ! [X0 : pigeon,X1 : pigeon] : (((pigeon_hole @ X1) != (pigeon_hole @ X0)) | (X0 = X1)) )),
% 1.59/1.43 inference(cnf_transformation,[status(thm)],[f17])).
% 1.59/1.43 thf(f17,plain,(
% 1.59/1.43 ! [X0 : pigeon,X1 : pigeon] : ((X0 = X1) | ((pigeon_hole @ X1) != (pigeon_hole @ X0)))),
% 1.59/1.43 inference(rectify,[status(thm)],[f14])).
% 1.59/1.43 thf(f14,plain,(
% 1.59/1.43 ! [X1 : pigeon,X0 : pigeon] : ((X0 = X1) | ((pigeon_hole @ X1) != (pigeon_hole @ X0)))),
% 1.59/1.43 inference(ennf_transformation,[status(thm)],[f13])).
% 1.59/1.43 thf(f13,plain,(
% 1.59/1.43 ~? [X0 : pigeon,X1 : pigeon] : (((pigeon_hole @ X1) = (pigeon_hole @ X0)) & (X0 != X1))),
% 1.59/1.43 inference(rectify,[status(thm)],[f9])).
% 1.59/1.43 thf(f9,negated_conjecture,(
% 1.59/1.43 ~? [X2 : pigeon,X1 : pigeon] : ((X1 != X2) & ((pigeon_hole @ X1) = (pigeon_hole @ X2)))),
% 1.59/1.43 inference(negated_conjecture,[status(cth)],[f8])).
% 1.59/1.43 thf(f8,conjecture,(
% 1.59/1.43 ? [X2 : pigeon,X1 : pigeon] : ((X1 != X2) & ((pigeon_hole @ X1) = (pigeon_hole @ X2)))),
% 1.59/1.43 file('/export/starexec/sandbox2/tmp/tmp.XbjhLBra3n/DTF2THF_24187.p',sharing_a_hole)).
% 1.59/1.43 thf(f108,plain,(
% 1.59/1.43 ~spl0_11 | spl0_1),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f64,f27,f90])).
% 1.59/1.43 thf(f27,definition,(
% 1.59/1.43 spl0_1 <=> (pigeon1 = pigeon2)),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 1.59/1.43 thf(f64,plain,(
% 1.59/1.43 ((pigeon_hole @ pigeon2) != (pigeon_hole @ pigeon1)) | spl0_1),
% 1.59/1.43 inference(extensionality_resolution,[status(thm)],[f24,f29])).
% 1.59/1.43 thf(f29,plain,(
% 1.59/1.43 (pigeon1 != pigeon2) | spl0_1),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f27])).
% 1.59/1.43 thf(f107,plain,(
% 1.59/1.43 ~spl0_9 | spl0_4),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f69,f42,f80])).
% 1.59/1.43 thf(f42,definition,(
% 1.59/1.43 spl0_4 <=> (pigeon1 = pigeon3)),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 1.59/1.43 thf(f69,plain,(
% 1.59/1.43 ((pigeon_hole @ pigeon1) != (pigeon_hole @ pigeon3)) | spl0_4),
% 1.59/1.43 inference(extensionality_resolution,[status(thm)],[f24,f44])).
% 1.59/1.43 thf(f44,plain,(
% 1.59/1.43 (pigeon1 != pigeon3) | spl0_4),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f42])).
% 1.59/1.43 thf(f106,plain,(
% 1.59/1.43 ~spl0_10 | spl0_2),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f72,f32,f85])).
% 1.59/1.43 thf(f32,definition,(
% 1.59/1.43 spl0_2 <=> (pigeon1 = pigeon4)),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 1.59/1.43 thf(f72,plain,(
% 1.59/1.43 ((pigeon_hole @ pigeon1) != (pigeon_hole @ pigeon4)) | spl0_2),
% 1.59/1.43 inference(extensionality_resolution,[status(thm)],[f24,f34])).
% 1.59/1.43 thf(f34,plain,(
% 1.59/1.43 (pigeon1 != pigeon4) | spl0_2),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f32])).
% 1.59/1.43 thf(f105,plain,(
% 1.59/1.43 ~spl0_8 | spl0_7),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f65,f57,f75])).
% 1.59/1.43 thf(f57,definition,(
% 1.59/1.43 spl0_7 <=> (pigeon2 = pigeon3)),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])).
% 1.59/1.43 thf(f65,plain,(
% 1.59/1.43 ((pigeon_hole @ pigeon2) != (pigeon_hole @ pigeon3)) | spl0_7),
% 1.59/1.43 inference(extensionality_resolution,[status(thm)],[f24,f59])).
% 1.59/1.43 thf(f59,plain,(
% 1.59/1.43 (pigeon2 != pigeon3) | spl0_7),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f57])).
% 1.59/1.43 thf(f104,plain,(
% 1.59/1.43 ~spl0_12 | spl0_6),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f68,f52,f95])).
% 1.59/1.43 thf(f52,definition,(
% 1.59/1.43 spl0_6 <=> (pigeon2 = pigeon4)),
% 1.59/1.43 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 1.59/1.43 thf(f68,plain,(
% 1.59/1.43 ((pigeon_hole @ pigeon2) != (pigeon_hole @ pigeon4)) | spl0_6),
% 1.59/1.43 inference(extensionality_resolution,[status(thm)],[f24,f54])).
% 1.59/1.43 thf(f54,plain,(
% 1.59/1.43 (pigeon2 != pigeon4) | spl0_6),
% 1.59/1.43 inference(avatar_component_clause,[status(thm)],[f52])).
% 1.59/1.43 thf(f60,plain,(
% 1.59/1.43 ~spl0_7),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f22,f57])).
% 1.59/1.43 thf(f22,plain,(
% 1.59/1.43 (pigeon2 != pigeon3)),
% 1.59/1.43 inference(cnf_transformation,[status(thm)],[f4])).
% 1.59/1.43 thf(f4,axiom,(
% 1.59/1.43 (pigeon2 != pigeon3)),
% 1.59/1.43 file('/export/starexec/sandbox2/tmp/tmp.XbjhLBra3n/DTF2THF_24187.p',pigeon2pigeon3)).
% 1.59/1.43 thf(f55,plain,(
% 1.59/1.43 ~spl0_6),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f19,f52])).
% 1.59/1.43 thf(f19,plain,(
% 1.59/1.43 (pigeon2 != pigeon4)),
% 1.59/1.43 inference(cnf_transformation,[status(thm)],[f6])).
% 1.59/1.43 thf(f6,axiom,(
% 1.59/1.43 (pigeon2 != pigeon4)),
% 1.59/1.43 file('/export/starexec/sandbox2/tmp/tmp.XbjhLBra3n/DTF2THF_24187.p',pigeon2pigeon4)).
% 1.59/1.43 thf(f45,plain,(
% 1.59/1.43 ~spl0_4),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f18,f42])).
% 1.59/1.43 thf(f18,plain,(
% 1.59/1.43 (pigeon1 != pigeon3)),
% 1.59/1.43 inference(cnf_transformation,[status(thm)],[f3])).
% 1.59/1.43 thf(f3,axiom,(
% 1.59/1.43 (pigeon1 != pigeon3)),
% 1.59/1.43 file('/export/starexec/sandbox2/tmp/tmp.XbjhLBra3n/DTF2THF_24187.p',pigeon1pigeon3)).
% 1.59/1.43 thf(f40,plain,(
% 1.59/1.43 ~spl0_3),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f23,f37])).
% 1.59/1.43 thf(f23,plain,(
% 1.59/1.43 (pigeon3 != pigeon4)),
% 1.59/1.43 inference(cnf_transformation,[status(thm)],[f7])).
% 1.59/1.43 thf(f7,axiom,(
% 1.59/1.43 (pigeon3 != pigeon4)),
% 1.59/1.43 file('/export/starexec/sandbox2/tmp/tmp.XbjhLBra3n/DTF2THF_24187.p',pigeon3pigeon4)).
% 1.59/1.43 thf(f35,plain,(
% 1.59/1.43 ~spl0_2),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f20,f32])).
% 1.59/1.43 thf(f20,plain,(
% 1.59/1.43 (pigeon1 != pigeon4)),
% 1.59/1.43 inference(cnf_transformation,[status(thm)],[f5])).
% 1.59/1.43 thf(f5,axiom,(
% 1.59/1.43 (pigeon1 != pigeon4)),
% 1.59/1.43 file('/export/starexec/sandbox2/tmp/tmp.XbjhLBra3n/DTF2THF_24187.p',pigeon1pigeon4)).
% 1.59/1.43 thf(f30,plain,(
% 1.59/1.43 ~spl0_1),
% 1.59/1.43 inference(avatar_split_clause,[status(thm)],[f25,f27])).
% 1.59/1.43 thf(f25,plain,(
% 1.59/1.43 (pigeon1 != pigeon2)),
% 1.59/1.43 inference(cnf_transformation,[status(thm)],[f2])).
% 1.59/1.43 thf(f2,axiom,(
% 1.59/1.43 (pigeon1 != pigeon2)),
% 1.59/1.43 file('/export/starexec/sandbox2/tmp/tmp.XbjhLBra3n/DTF2THF_24187.p',pigeon1pigeon2)).
% 1.59/1.43 % SZS output end Proof for DTF2THF_24187
% 1.59/1.43 % (24314)------------------------------
% 1.59/1.43 % (24314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.43 % (24314)Termination reason: Refutation
% 1.59/1.43
% 1.59/1.43 % (24314)Memory used [KB]: 5628
% 1.59/1.43 % (24314)Time elapsed: 0.009 s
% 1.59/1.43 % (24314)Instructions burned: 9 (million)
% 1.59/1.43 % (24314)------------------------------
% 1.59/1.43 % (24314)------------------------------
% 1.59/1.43 % (24283)Success in time 0.116 s
%------------------------------------------------------------------------------