%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MSC007-2.005 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:05:44 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 39
% Syntax : Number of formulae : 417 ( 37 unt; 20 def)
% Number of atoms : 1195 ( 232 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1604 ( 826 ~; 758 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 21 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-1 aty)
% Number of variables : 80 ( 0 sgn 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
pigeon(pigeon_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_1) ).
fof(f6,axiom,
pigeon(pigeon_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_2) ).
fof(f7,axiom,
pigeon(pigeon_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_3) ).
fof(f8,axiom,
pigeon(pigeon_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_4) ).
fof(f9,axiom,
pigeon(pigeon_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_5) ).
fof(f10,axiom,
pigeon_1 != pigeon_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_2) ).
fof(f11,axiom,
pigeon_1 != pigeon_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_3) ).
fof(f12,axiom,
pigeon_1 != pigeon_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_4) ).
fof(f13,axiom,
pigeon_1 != pigeon_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_5) ).
fof(f14,axiom,
pigeon_2 != pigeon_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_3) ).
fof(f15,axiom,
pigeon_2 != pigeon_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_4) ).
fof(f16,axiom,
pigeon_2 != pigeon_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_5) ).
fof(f17,axiom,
pigeon_3 != pigeon_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_3_is_not_pigeon_4) ).
fof(f18,axiom,
pigeon_3 != pigeon_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_3_is_not_pigeon_5) ).
fof(f19,axiom,
pigeon_4 != pigeon_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_4_is_not_pigeon_5) ).
fof(f30,axiom,
! [X0] :
( ~ hole(X0)
| X0 = hole_1
| X0 = hole_2
| X0 = hole_3
| X0 = hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_holes) ).
fof(f31,plain,
! [X0] :
( ~ hole(X0)
| hole_1 = X0
| hole_2 = X0
| hole_3 = X0
| hole_4 = X0 ),
inference(reorient_equations,[],[f30]) ).
fof(f32,axiom,
! [X0] :
( hole(hole_of(X0))
| ~ pigeon(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_pigeons_hole1) ).
fof(f33,axiom,
! [X0] :
( in(X0,hole_of(X0))
| ~ pigeon(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_pigeons_hole2) ).
fof(f34,negated_conjecture,
! [X2,X0,X1] :
( ~ in(X1,X0)
| ~ in(X2,X0)
| ~ pigeon(X2)
| ~ hole(X0)
| ~ pigeon(X1)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_one_per_hole) ).
fof(f39,plain,
! [X0,X1] :
( ~ pigeon(X0)
| ~ in(X1,hole_of(X0))
| ~ pigeon(X1)
| ~ hole(hole_of(X0))
| ~ pigeon(X0)
| X0 = X1 ),
inference(resolution,[],[f33,f34]) ).
fof(f40,plain,
! [X0,X1] :
( ~ pigeon(X0)
| ~ in(X1,hole_of(X0))
| ~ pigeon(X1)
| ~ hole(hole_of(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f39]) ).
fof(f42,plain,
! [X0,X1] :
( ~ in(X1,hole_of(X0))
| ~ pigeon(X0)
| ~ pigeon(X1)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f40,f32]) ).
fof(f50,plain,
! [X0] :
( ~ pigeon(X0)
| hole_2 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_4 = hole_of(X0)
| hole_1 = hole_of(X0) ),
inference(resolution,[],[f31,f32]) ).
fof(f51,plain,
( hole_2 = hole_of(pigeon_1)
| hole_3 = hole_of(pigeon_1)
| hole_4 = hole_of(pigeon_1)
| hole_1 = hole_of(pigeon_1) ),
inference(resolution,[],[f50,f5]) ).
fof(f52,plain,
( hole_2 = hole_of(pigeon_2)
| hole_3 = hole_of(pigeon_2)
| hole_4 = hole_of(pigeon_2)
| hole_1 = hole_of(pigeon_2) ),
inference(resolution,[],[f50,f6]) ).
fof(f53,plain,
( hole_2 = hole_of(pigeon_3)
| hole_3 = hole_of(pigeon_3)
| hole_4 = hole_of(pigeon_3)
| hole_1 = hole_of(pigeon_3) ),
inference(resolution,[],[f50,f7]) ).
fof(f54,plain,
( hole_2 = hole_of(pigeon_4)
| hole_3 = hole_of(pigeon_4)
| hole_4 = hole_of(pigeon_4)
| hole_1 = hole_of(pigeon_4) ),
inference(resolution,[],[f50,f8]) ).
fof(f55,plain,
( hole_2 = hole_of(pigeon_5)
| hole_3 = hole_of(pigeon_5)
| hole_4 = hole_of(pigeon_5)
| hole_1 = hole_of(pigeon_5) ),
inference(resolution,[],[f50,f9]) ).
fof(f57,definition,
( spl0_1
<=> hole_1 = hole_of(pigeon_5) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f59,plain,
( hole_1 = hole_of(pigeon_5)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f61,definition,
( spl0_2
<=> hole_4 = hole_of(pigeon_5) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f63,plain,
( hole_4 = hole_of(pigeon_5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f65,definition,
( spl0_3
<=> hole_3 = hole_of(pigeon_5) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f67,plain,
( hole_3 = hole_of(pigeon_5)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f69,definition,
( spl0_4
<=> hole_2 = hole_of(pigeon_5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f71,plain,
( hole_2 = hole_of(pigeon_5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f55,f69,f65,f61,f57]) ).
fof(f74,definition,
( spl0_5
<=> hole_1 = hole_of(pigeon_4) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f76,plain,
( hole_1 = hole_of(pigeon_4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f78,definition,
( spl0_6
<=> hole_4 = hole_of(pigeon_4) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f80,plain,
( hole_4 = hole_of(pigeon_4)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl0_7
<=> hole_3 = hole_of(pigeon_4) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f84,plain,
( hole_3 = hole_of(pigeon_4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f86,definition,
( spl0_8
<=> hole_2 = hole_of(pigeon_4) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f88,plain,
( hole_2 = hole_of(pigeon_4)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f54,f86,f82,f78,f74]) ).
fof(f91,definition,
( spl0_9
<=> hole_1 = hole_of(pigeon_3) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f93,plain,
( hole_1 = hole_of(pigeon_3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f95,definition,
( spl0_10
<=> hole_4 = hole_of(pigeon_3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f97,plain,
( hole_4 = hole_of(pigeon_3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f99,definition,
( spl0_11
<=> hole_3 = hole_of(pigeon_3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f101,plain,
( hole_3 = hole_of(pigeon_3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f103,definition,
( spl0_12
<=> hole_2 = hole_of(pigeon_3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f105,plain,
( hole_2 = hole_of(pigeon_3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,plain,
( spl0_9
| spl0_10
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f53,f103,f99,f95,f91]) ).
fof(f108,definition,
( spl0_13
<=> hole_1 = hole_of(pigeon_2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f110,plain,
( hole_1 = hole_of(pigeon_2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f112,definition,
( spl0_14
<=> hole_4 = hole_of(pigeon_2) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f114,plain,
( hole_4 = hole_of(pigeon_2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f116,definition,
( spl0_15
<=> hole_3 = hole_of(pigeon_2) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f118,plain,
( hole_3 = hole_of(pigeon_2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f120,definition,
( spl0_16
<=> hole_2 = hole_of(pigeon_2) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f122,plain,
( hole_2 = hole_of(pigeon_2)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
( spl0_13
| spl0_14
| spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f52,f120,f116,f112,f108]) ).
fof(f125,definition,
( spl0_17
<=> hole_1 = hole_of(pigeon_1) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f127,plain,
( hole_1 = hole_of(pigeon_1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f129,definition,
( spl0_18
<=> hole_4 = hole_of(pigeon_1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f131,plain,
( hole_4 = hole_of(pigeon_1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f133,definition,
( spl0_19
<=> hole_3 = hole_of(pigeon_1) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f135,plain,
( hole_3 = hole_of(pigeon_1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f137,definition,
( spl0_20
<=> hole_2 = hole_of(pigeon_1) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f139,plain,
( hole_2 = hole_of(pigeon_1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f140,plain,
( spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f51,f137,f133,f129,f125]) ).
fof(f142,plain,
( in(pigeon_5,hole_4)
| ~ pigeon(pigeon_5)
| ~ spl0_2 ),
inference(superposition,[],[f33,f63]) ).
fof(f144,plain,
( in(pigeon_5,hole_4)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f142,f9]) ).
fof(f147,plain,
( in(pigeon_4,hole_1)
| ~ pigeon(pigeon_4)
| ~ spl0_5 ),
inference(superposition,[],[f33,f76]) ).
fof(f149,plain,
( in(pigeon_4,hole_1)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f147,f8]) ).
fof(f151,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(pigeon_3)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_9 ),
inference(superposition,[],[f42,f93]) ).
fof(f152,plain,
( in(pigeon_3,hole_1)
| ~ pigeon(pigeon_3)
| ~ spl0_9 ),
inference(superposition,[],[f33,f93]) ).
fof(f154,plain,
( in(pigeon_3,hole_1)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f152,f7]) ).
fof(f155,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f151,f7]) ).
fof(f156,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(pigeon_2)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_13 ),
inference(superposition,[],[f42,f110]) ).
fof(f157,plain,
( in(pigeon_2,hole_1)
| ~ pigeon(pigeon_2)
| ~ spl0_13 ),
inference(superposition,[],[f33,f110]) ).
fof(f159,plain,
( in(pigeon_2,hole_1)
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f157,f6]) ).
fof(f160,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f156,f6]) ).
fof(f161,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(pigeon_1)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_17 ),
inference(superposition,[],[f42,f127]) ).
fof(f162,plain,
( in(pigeon_1,hole_1)
| ~ pigeon(pigeon_1)
| ~ spl0_17 ),
inference(superposition,[],[f33,f127]) ).
fof(f164,plain,
( in(pigeon_1,hole_1)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f162,f5]) ).
fof(f165,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f161,f5]) ).
fof(f169,plain,
( ~ pigeon(pigeon_4)
| pigeon_1 = pigeon_4
| ~ spl0_5
| ~ spl0_17 ),
inference(resolution,[],[f149,f165]) ).
fof(f170,plain,
( ~ pigeon(pigeon_4)
| pigeon_2 = pigeon_4
| ~ spl0_5
| ~ spl0_13 ),
inference(resolution,[],[f149,f160]) ).
fof(f171,plain,
( ~ pigeon(pigeon_4)
| pigeon_3 = pigeon_4
| ~ spl0_5
| ~ spl0_9 ),
inference(resolution,[],[f149,f155]) ).
fof(f175,plain,
( pigeon_3 = pigeon_4
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f171,f8]) ).
fof(f176,plain,
( pigeon_2 = pigeon_4
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f170,f8]) ).
fof(f177,plain,
( pigeon_1 = pigeon_4
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f169,f8]) ).
fof(f178,plain,
( $false
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f175,f17]) ).
fof(f179,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f178]) ).
fof(f180,plain,
( $false
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f176,f15]) ).
fof(f181,plain,
( ~ spl0_5
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f180]) ).
fof(f182,plain,
( $false
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f177,f12]) ).
fof(f183,plain,
( ~ spl0_5
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f184,plain,
( ~ pigeon(pigeon_3)
| pigeon_1 = pigeon_3
| ~ spl0_9
| ~ spl0_17 ),
inference(resolution,[],[f154,f165]) ).
fof(f185,plain,
( ~ pigeon(pigeon_3)
| pigeon_2 = pigeon_3
| ~ spl0_9
| ~ spl0_13 ),
inference(resolution,[],[f154,f160]) ).
fof(f189,plain,
( pigeon_2 = pigeon_3
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f185,f7]) ).
fof(f190,plain,
( pigeon_1 = pigeon_3
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f184,f7]) ).
fof(f191,plain,
( $false
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f189,f14]) ).
fof(f192,plain,
( ~ spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f191]) ).
fof(f193,plain,
( $false
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f190,f11]) ).
fof(f194,plain,
( ~ spl0_9
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f196,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(pigeon_4)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_6 ),
inference(superposition,[],[f42,f80]) ).
fof(f197,plain,
( in(pigeon_4,hole_4)
| ~ pigeon(pigeon_4)
| ~ spl0_6 ),
inference(superposition,[],[f33,f80]) ).
fof(f199,plain,
( in(pigeon_4,hole_4)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f197,f8]) ).
fof(f200,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f196,f8]) ).
fof(f201,plain,
( ~ pigeon(pigeon_5)
| pigeon_4 = pigeon_5
| ~ spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f200,f144]) ).
fof(f202,plain,
( pigeon_4 = pigeon_5
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f201,f9]) ).
fof(f203,plain,
( $false
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f202,f19]) ).
fof(f204,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f203]) ).
fof(f205,plain,
( ~ pigeon(pigeon_2)
| pigeon_1 = pigeon_2
| ~ spl0_13
| ~ spl0_17 ),
inference(resolution,[],[f159,f165]) ).
fof(f209,plain,
( pigeon_1 = pigeon_2
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f205,f6]) ).
fof(f210,plain,
( $false
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f209,f10]) ).
fof(f211,plain,
( ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f210]) ).
fof(f215,plain,
( in(pigeon_4,hole_3)
| ~ pigeon(pigeon_4)
| ~ spl0_7 ),
inference(superposition,[],[f33,f84]) ).
fof(f217,plain,
( in(pigeon_4,hole_3)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f215,f8]) ).
fof(f223,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(pigeon_3)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_10 ),
inference(superposition,[],[f42,f97]) ).
fof(f224,plain,
( in(pigeon_3,hole_4)
| ~ pigeon(pigeon_3)
| ~ spl0_10 ),
inference(superposition,[],[f33,f97]) ).
fof(f226,plain,
( in(pigeon_3,hole_4)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f224,f7]) ).
fof(f227,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f223,f7]) ).
fof(f228,plain,
( ~ pigeon(pigeon_5)
| pigeon_3 = pigeon_5
| ~ spl0_2
| ~ spl0_10 ),
inference(resolution,[],[f227,f144]) ).
fof(f229,plain,
( pigeon_3 = pigeon_5
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f228,f9]) ).
fof(f230,plain,
( $false
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f229,f18]) ).
fof(f231,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f237,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(pigeon_3)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_11 ),
inference(superposition,[],[f42,f101]) ).
fof(f238,plain,
( in(pigeon_3,hole_3)
| ~ pigeon(pigeon_3)
| ~ spl0_11 ),
inference(superposition,[],[f33,f101]) ).
fof(f240,plain,
( in(pigeon_3,hole_3)
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f238,f7]) ).
fof(f241,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f237,f7]) ).
fof(f242,plain,
( ~ pigeon(pigeon_4)
| pigeon_3 = pigeon_4
| ~ spl0_7
| ~ spl0_11 ),
inference(resolution,[],[f241,f217]) ).
fof(f243,plain,
( pigeon_3 = pigeon_4
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f242,f8]) ).
fof(f244,plain,
( $false
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f243,f17]) ).
fof(f245,plain,
( ~ spl0_7
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f244]) ).
fof(f256,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(pigeon_2)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_14 ),
inference(superposition,[],[f42,f114]) ).
fof(f257,plain,
( in(pigeon_2,hole_4)
| ~ pigeon(pigeon_2)
| ~ spl0_14 ),
inference(superposition,[],[f33,f114]) ).
fof(f259,plain,
( in(pigeon_2,hole_4)
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f257,f6]) ).
fof(f260,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f256,f6]) ).
fof(f261,plain,
( ~ pigeon(pigeon_5)
| pigeon_2 = pigeon_5
| ~ spl0_2
| ~ spl0_14 ),
inference(resolution,[],[f260,f144]) ).
fof(f262,plain,
( pigeon_2 = pigeon_5
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f261,f9]) ).
fof(f263,plain,
( $false
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f262,f16]) ).
fof(f264,plain,
( ~ spl0_2
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f270,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(pigeon_2)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_15 ),
inference(superposition,[],[f42,f118]) ).
fof(f271,plain,
( in(pigeon_2,hole_3)
| ~ pigeon(pigeon_2)
| ~ spl0_15 ),
inference(superposition,[],[f33,f118]) ).
fof(f273,plain,
( in(pigeon_2,hole_3)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f271,f6]) ).
fof(f274,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f270,f6]) ).
fof(f275,plain,
( ~ pigeon(pigeon_3)
| pigeon_2 = pigeon_3
| ~ spl0_11
| ~ spl0_15 ),
inference(resolution,[],[f274,f240]) ).
fof(f276,plain,
( pigeon_2 = pigeon_3
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f275,f7]) ).
fof(f277,plain,
( $false
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f276,f14]) ).
fof(f278,plain,
( ~ spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f288,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(pigeon_5)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_3 ),
inference(superposition,[],[f42,f67]) ).
fof(f292,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f288,f9]) ).
fof(f295,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(pigeon_4)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_6 ),
inference(superposition,[],[f42,f80]) ).
fof(f298,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f295,f8]) ).
fof(f306,plain,
( ~ pigeon(pigeon_2)
| pigeon_2 = pigeon_5
| ~ spl0_3
| ~ spl0_15 ),
inference(resolution,[],[f273,f292]) ).
fof(f310,plain,
( pigeon_2 = pigeon_5
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f306,f6]) ).
fof(f311,plain,
( $false
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f310,f16]) ).
fof(f312,plain,
( ~ spl0_3
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f311]) ).
fof(f315,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(pigeon_5)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_1 ),
inference(superposition,[],[f42,f59]) ).
fof(f319,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f315,f9]) ).
fof(f320,plain,
( ~ pigeon(pigeon_3)
| pigeon_3 = pigeon_5
| ~ spl0_1
| ~ spl0_9 ),
inference(resolution,[],[f319,f154]) ).
fof(f321,plain,
( pigeon_3 = pigeon_5
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f320,f7]) ).
fof(f322,plain,
( $false
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f321,f18]) ).
fof(f323,plain,
( ~ spl0_1
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f328,plain,
( in(pigeon_5,hole_2)
| ~ pigeon(pigeon_5)
| ~ spl0_4 ),
inference(superposition,[],[f33,f71]) ).
fof(f330,plain,
( in(pigeon_5,hole_2)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f328,f9]) ).
fof(f333,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(pigeon_1)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_18 ),
inference(superposition,[],[f42,f131]) ).
fof(f337,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f333,f5]) ).
fof(f338,plain,
( ~ pigeon(pigeon_4)
| pigeon_1 = pigeon_4
| ~ spl0_6
| ~ spl0_18 ),
inference(resolution,[],[f337,f199]) ).
fof(f339,plain,
( pigeon_1 = pigeon_4
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f338,f8]) ).
fof(f340,plain,
( $false
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f339,f12]) ).
fof(f341,plain,
( ~ spl0_6
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f347,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(pigeon_1)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_19 ),
inference(superposition,[],[f42,f135]) ).
fof(f348,plain,
( in(pigeon_1,hole_3)
| ~ pigeon(pigeon_1)
| ~ spl0_19 ),
inference(superposition,[],[f33,f135]) ).
fof(f350,plain,
( in(pigeon_1,hole_3)
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f348,f5]) ).
fof(f351,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f347,f5]) ).
fof(f352,plain,
( ~ pigeon(pigeon_2)
| pigeon_1 = pigeon_2
| ~ spl0_15
| ~ spl0_19 ),
inference(resolution,[],[f351,f273]) ).
fof(f353,plain,
( pigeon_1 = pigeon_2
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f352,f6]) ).
fof(f354,plain,
( $false
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f353,f10]) ).
fof(f355,plain,
( ~ spl0_15
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f357,plain,
( ~ pigeon(pigeon_2)
| pigeon_2 = pigeon_4
| ~ spl0_6
| ~ spl0_14 ),
inference(resolution,[],[f259,f298]) ).
fof(f362,plain,
( pigeon_2 = pigeon_4
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f357,f6]) ).
fof(f365,plain,
( $false
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f362,f15]) ).
fof(f366,plain,
( ~ spl0_6
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f373,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(pigeon_2)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_16 ),
inference(superposition,[],[f42,f122]) ).
fof(f374,plain,
( in(pigeon_2,hole_2)
| ~ pigeon(pigeon_2)
| ~ spl0_16 ),
inference(superposition,[],[f33,f122]) ).
fof(f376,plain,
( in(pigeon_2,hole_2)
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f374,f6]) ).
fof(f377,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f373,f6]) ).
fof(f378,plain,
( ~ pigeon(pigeon_5)
| pigeon_2 = pigeon_5
| ~ spl0_4
| ~ spl0_16 ),
inference(resolution,[],[f377,f330]) ).
fof(f379,plain,
( pigeon_2 = pigeon_5
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f378,f9]) ).
fof(f380,plain,
( $false
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f379,f16]) ).
fof(f381,plain,
( ~ spl0_4
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f385,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(pigeon_5)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_3 ),
inference(superposition,[],[f42,f67]) ).
fof(f388,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f385,f9]) ).
fof(f389,plain,
( ~ pigeon(pigeon_1)
| pigeon_1 = pigeon_5
| ~ spl0_3
| ~ spl0_19 ),
inference(resolution,[],[f388,f350]) ).
fof(f390,plain,
( pigeon_1 = pigeon_5
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f389,f5]) ).
fof(f391,plain,
( $false
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f390,f13]) ).
fof(f392,plain,
( ~ spl0_3
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f399,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(pigeon_1)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_20 ),
inference(superposition,[],[f42,f139]) ).
fof(f400,plain,
( in(pigeon_1,hole_2)
| ~ pigeon(pigeon_1)
| ~ spl0_20 ),
inference(superposition,[],[f33,f139]) ).
fof(f402,plain,
( in(pigeon_1,hole_2)
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f400,f5]) ).
fof(f403,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f399,f5]) ).
fof(f404,plain,
( ~ pigeon(pigeon_2)
| pigeon_1 = pigeon_2
| ~ spl0_16
| ~ spl0_20 ),
inference(resolution,[],[f376,f403]) ).
fof(f408,plain,
( pigeon_1 = pigeon_2
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f404,f6]) ).
fof(f409,plain,
( $false
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f408,f10]) ).
fof(f410,plain,
( ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f409]) ).
fof(f432,plain,
( ~ pigeon(pigeon_5)
| pigeon_1 = pigeon_5
| ~ spl0_4
| ~ spl0_20 ),
inference(resolution,[],[f330,f403]) ).
fof(f435,plain,
( pigeon_1 = pigeon_5
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f432,f9]) ).
fof(f436,plain,
( $false
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f435,f13]) ).
fof(f437,plain,
( ~ spl0_4
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f444,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(pigeon_5)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_3 ),
inference(superposition,[],[f42,f67]) ).
fof(f447,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f444,f9]) ).
fof(f456,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(pigeon_3)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_12 ),
inference(superposition,[],[f42,f105]) ).
fof(f457,plain,
( in(pigeon_3,hole_2)
| ~ pigeon(pigeon_3)
| ~ spl0_12 ),
inference(superposition,[],[f33,f105]) ).
fof(f459,plain,
( in(pigeon_3,hole_2)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f457,f7]) ).
fof(f460,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f456,f7]) ).
fof(f469,plain,
( ~ pigeon(pigeon_1)
| pigeon_1 = pigeon_3
| ~ spl0_12
| ~ spl0_20 ),
inference(resolution,[],[f402,f460]) ).
fof(f473,plain,
( pigeon_1 = pigeon_3
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f469,f5]) ).
fof(f474,plain,
( $false
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f473,f11]) ).
fof(f475,plain,
( ~ spl0_12
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f474]) ).
fof(f479,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(pigeon_3)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_10 ),
inference(superposition,[],[f42,f97]) ).
fof(f482,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f479,f7]) ).
fof(f483,plain,
( ~ pigeon(pigeon_4)
| pigeon_3 = pigeon_4
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f482,f199]) ).
fof(f484,plain,
( pigeon_3 = pigeon_4
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f483,f8]) ).
fof(f485,plain,
( $false
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f484,f17]) ).
fof(f486,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f488,plain,
( ~ pigeon(pigeon_3)
| pigeon_3 = pigeon_5
| ~ spl0_3
| ~ spl0_11 ),
inference(resolution,[],[f240,f447]) ).
fof(f493,plain,
( pigeon_3 = pigeon_5
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f488,f7]) ).
fof(f496,plain,
( $false
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f493,f18]) ).
fof(f497,plain,
( ~ spl0_3
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f496]) ).
fof(f501,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(pigeon_5)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_1 ),
inference(superposition,[],[f42,f59]) ).
fof(f504,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f501,f9]) ).
fof(f505,plain,
( ~ pigeon(pigeon_2)
| pigeon_2 = pigeon_5
| ~ spl0_1
| ~ spl0_13 ),
inference(resolution,[],[f504,f159]) ).
fof(f506,plain,
( pigeon_2 = pigeon_5
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f505,f6]) ).
fof(f507,plain,
( $false
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f506,f16]) ).
fof(f508,plain,
( ~ spl0_1
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f515,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(pigeon_4)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_8 ),
inference(superposition,[],[f42,f88]) ).
fof(f519,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f515,f8]) ).
fof(f520,plain,
( ~ pigeon(pigeon_1)
| pigeon_1 = pigeon_4
| ~ spl0_8
| ~ spl0_20 ),
inference(resolution,[],[f519,f402]) ).
fof(f521,plain,
( pigeon_1 = pigeon_4
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f520,f5]) ).
fof(f522,plain,
( $false
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f521,f12]) ).
fof(f523,plain,
( ~ spl0_8
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f537,plain,
( ~ pigeon(pigeon_4)
| pigeon_4 = pigeon_5
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f149,f504]) ).
fof(f540,plain,
( pigeon_4 = pigeon_5
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f537,f8]) ).
fof(f541,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f540,f19]) ).
fof(f542,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f541]) ).
fof(f567,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(pigeon_2)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_14 ),
inference(superposition,[],[f42,f114]) ).
fof(f570,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f567,f6]) ).
fof(f571,plain,
( ~ pigeon(pigeon_3)
| pigeon_2 = pigeon_3
| ~ spl0_10
| ~ spl0_14 ),
inference(resolution,[],[f570,f226]) ).
fof(f572,plain,
( pigeon_2 = pigeon_3
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f571,f7]) ).
fof(f573,plain,
( $false
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f572,f14]) ).
fof(f574,plain,
( ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f573]) ).
fof(f586,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(pigeon_4)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_8 ),
inference(superposition,[],[f42,f88]) ).
fof(f589,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f586,f8]) ).
fof(f601,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(pigeon_1)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_19 ),
inference(superposition,[],[f42,f135]) ).
fof(f604,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f601,f5]) ).
fof(f605,plain,
( ~ pigeon(pigeon_3)
| pigeon_1 = pigeon_3
| ~ spl0_11
| ~ spl0_19 ),
inference(resolution,[],[f604,f240]) ).
fof(f606,plain,
( pigeon_1 = pigeon_3
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f605,f7]) ).
fof(f607,plain,
( $false
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f606,f11]) ).
fof(f608,plain,
( ~ spl0_11
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f612,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(pigeon_1)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_18 ),
inference(superposition,[],[f42,f131]) ).
fof(f615,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f612,f5]) ).
fof(f616,plain,
( ~ pigeon(pigeon_2)
| pigeon_1 = pigeon_2
| ~ spl0_14
| ~ spl0_18 ),
inference(resolution,[],[f615,f259]) ).
fof(f617,plain,
( pigeon_1 = pigeon_2
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f616,f6]) ).
fof(f618,plain,
( $false
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f617,f10]) ).
fof(f619,plain,
( ~ spl0_14
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f628,plain,
( ~ pigeon(pigeon_1)
| pigeon_1 = pigeon_5
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f164,f504]) ).
fof(f631,plain,
( pigeon_1 = pigeon_5
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f628,f5]) ).
fof(f632,plain,
( $false
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f631,f13]) ).
fof(f633,plain,
( ~ spl0_1
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f635,plain,
( ~ pigeon(pigeon_5)
| pigeon_4 = pigeon_5
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[],[f330,f589]) ).
fof(f640,plain,
( pigeon_4 = pigeon_5
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f635,f9]) ).
fof(f643,plain,
( $false
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f640,f19]) ).
fof(f644,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f643]) ).
fof(f671,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(pigeon_1)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_18 ),
inference(superposition,[],[f42,f131]) ).
fof(f674,plain,
( ! [X0] :
( ~ in(X0,hole_4)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f671,f5]) ).
fof(f675,plain,
( ~ pigeon(pigeon_5)
| pigeon_1 = pigeon_5
| ~ spl0_2
| ~ spl0_18 ),
inference(resolution,[],[f674,f144]) ).
fof(f676,plain,
( pigeon_1 = pigeon_5
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f675,f9]) ).
fof(f677,plain,
( $false
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f676,f13]) ).
fof(f678,plain,
( ~ spl0_2
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f707,plain,
( ~ pigeon(pigeon_3)
| pigeon_1 = pigeon_3
| ~ spl0_10
| ~ spl0_18 ),
inference(resolution,[],[f226,f674]) ).
fof(f710,plain,
( pigeon_1 = pigeon_3
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f707,f7]) ).
fof(f711,plain,
( $false
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f710,f11]) ).
fof(f712,plain,
( ~ spl0_10
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f711]) ).
fof(f722,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(pigeon_3)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_12 ),
inference(superposition,[],[f42,f105]) ).
fof(f725,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f722,f7]) ).
fof(f726,plain,
( ~ pigeon(pigeon_5)
| pigeon_3 = pigeon_5
| ~ spl0_4
| ~ spl0_12 ),
inference(resolution,[],[f725,f330]) ).
fof(f727,plain,
( pigeon_3 = pigeon_5
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f726,f9]) ).
fof(f728,plain,
( $false
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f727,f18]) ).
fof(f729,plain,
( ~ spl0_4
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f743,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(pigeon_1)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_19 ),
inference(superposition,[],[f42,f135]) ).
fof(f746,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f743,f5]) ).
fof(f747,plain,
( ~ pigeon(pigeon_4)
| pigeon_1 = pigeon_4
| ~ spl0_7
| ~ spl0_19 ),
inference(resolution,[],[f746,f217]) ).
fof(f748,plain,
( pigeon_1 = pigeon_4
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f747,f8]) ).
fof(f749,plain,
( $false
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f748,f12]) ).
fof(f750,plain,
( ~ spl0_7
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f749]) ).
fof(f762,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(pigeon_2)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_15 ),
inference(superposition,[],[f42,f118]) ).
fof(f765,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f762,f6]) ).
fof(f766,plain,
( ~ pigeon(pigeon_4)
| pigeon_2 = pigeon_4
| ~ spl0_7
| ~ spl0_15 ),
inference(resolution,[],[f765,f217]) ).
fof(f767,plain,
( pigeon_2 = pigeon_4
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f766,f8]) ).
fof(f768,plain,
( $false
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f767,f15]) ).
fof(f769,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f768]) ).
fof(f782,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(pigeon_3)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_12 ),
inference(superposition,[],[f42,f105]) ).
fof(f785,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f782,f7]) ).
fof(f800,plain,
( ~ pigeon(pigeon_2)
| pigeon_2 = pigeon_3
| ~ spl0_12
| ~ spl0_16 ),
inference(resolution,[],[f376,f785]) ).
fof(f803,plain,
( pigeon_2 = pigeon_3
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f800,f6]) ).
fof(f804,plain,
( $false
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f803,f14]) ).
fof(f805,plain,
( ~ spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f804]) ).
fof(f817,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(pigeon_4)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_8 ),
inference(superposition,[],[f42,f88]) ).
fof(f820,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f817,f8]) ).
fof(f826,plain,
( ~ pigeon(pigeon_3)
| pigeon_3 = pigeon_4
| ~ spl0_8
| ~ spl0_12 ),
inference(resolution,[],[f459,f820]) ).
fof(f830,plain,
( pigeon_3 = pigeon_4
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f826,f7]) ).
fof(f831,plain,
( $false
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f830,f17]) ).
fof(f832,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f846,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(pigeon_5)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_3 ),
inference(superposition,[],[f42,f67]) ).
fof(f849,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f846,f9]) ).
fof(f850,plain,
( ~ pigeon(pigeon_4)
| pigeon_4 = pigeon_5
| ~ spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f849,f217]) ).
fof(f851,plain,
( pigeon_4 = pigeon_5
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f850,f8]) ).
fof(f852,plain,
( $false
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f851,f19]) ).
fof(f853,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f852]) ).
fof(f868,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(pigeon_4)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_8 ),
inference(superposition,[],[f42,f88]) ).
fof(f871,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f868,f8]) ).
fof(f898,plain,
( ~ pigeon(pigeon_2)
| pigeon_2 = pigeon_4
| ~ spl0_8
| ~ spl0_16 ),
inference(resolution,[],[f376,f871]) ).
fof(f901,plain,
( pigeon_2 = pigeon_4
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f898,f6]) ).
fof(f902,plain,
( $false
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f901,f15]) ).
fof(f903,plain,
( ~ spl0_8
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f902]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f72]) ).
cnf(s2,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f89]) ).
cnf(s3,plain,
( spl0_9
| spl0_10
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f106]) ).
cnf(s4,plain,
( spl0_13
| spl0_14
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f123]) ).
cnf(s5,plain,
( spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f140]) ).
cnf(s6,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(sat_conversion,[],[f179]) ).
cnf(s7,plain,
( ~ spl0_5
| ~ spl0_13 ),
inference(sat_conversion,[],[f181]) ).
cnf(s8,plain,
( ~ spl0_5
| ~ spl0_17 ),
inference(sat_conversion,[],[f183]) ).
cnf(s9,plain,
( ~ spl0_9
| ~ spl0_13 ),
inference(sat_conversion,[],[f192]) ).
cnf(s10,plain,
( ~ spl0_9
| ~ spl0_17 ),
inference(sat_conversion,[],[f194]) ).
cnf(s11,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(sat_conversion,[],[f204]) ).
cnf(s12,plain,
( ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f211]) ).
cnf(s13,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(sat_conversion,[],[f231]) ).
cnf(s14,plain,
( ~ spl0_7
| ~ spl0_11 ),
inference(sat_conversion,[],[f245]) ).
cnf(s15,plain,
( ~ spl0_2
| ~ spl0_14 ),
inference(sat_conversion,[],[f264]) ).
cnf(s16,plain,
( ~ spl0_11
| ~ spl0_15 ),
inference(sat_conversion,[],[f278]) ).
cnf(s17,plain,
( ~ spl0_3
| ~ spl0_15 ),
inference(sat_conversion,[],[f312]) ).
cnf(s18,plain,
( ~ spl0_1
| ~ spl0_9 ),
inference(sat_conversion,[],[f323]) ).
cnf(s19,plain,
( ~ spl0_6
| ~ spl0_18 ),
inference(sat_conversion,[],[f341]) ).
cnf(s20,plain,
( ~ spl0_15
| ~ spl0_19 ),
inference(sat_conversion,[],[f355]) ).
cnf(s21,plain,
( ~ spl0_6
| ~ spl0_14 ),
inference(sat_conversion,[],[f366]) ).
cnf(s22,plain,
( ~ spl0_4
| ~ spl0_16 ),
inference(sat_conversion,[],[f381]) ).
cnf(s23,plain,
( ~ spl0_3
| ~ spl0_19 ),
inference(sat_conversion,[],[f392]) ).
cnf(s24,plain,
( ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f410]) ).
cnf(s25,plain,
( ~ spl0_4
| ~ spl0_20 ),
inference(sat_conversion,[],[f437]) ).
cnf(s26,plain,
( ~ spl0_12
| ~ spl0_20 ),
inference(sat_conversion,[],[f475]) ).
cnf(s27,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(sat_conversion,[],[f486]) ).
cnf(s28,plain,
( ~ spl0_3
| ~ spl0_11 ),
inference(sat_conversion,[],[f497]) ).
cnf(s29,plain,
( ~ spl0_1
| ~ spl0_13 ),
inference(sat_conversion,[],[f508]) ).
cnf(s30,plain,
( ~ spl0_8
| ~ spl0_20 ),
inference(sat_conversion,[],[f523]) ).
cnf(s31,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(sat_conversion,[],[f542]) ).
cnf(s32,plain,
( ~ spl0_10
| ~ spl0_14 ),
inference(sat_conversion,[],[f574]) ).
cnf(s33,plain,
( ~ spl0_11
| ~ spl0_19 ),
inference(sat_conversion,[],[f608]) ).
cnf(s34,plain,
( ~ spl0_14
| ~ spl0_18 ),
inference(sat_conversion,[],[f619]) ).
cnf(s35,plain,
( ~ spl0_1
| ~ spl0_17 ),
inference(sat_conversion,[],[f633]) ).
cnf(s36,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(sat_conversion,[],[f644]) ).
cnf(s37,plain,
( ~ spl0_2
| ~ spl0_18 ),
inference(sat_conversion,[],[f678]) ).
cnf(s38,plain,
( ~ spl0_10
| ~ spl0_18 ),
inference(sat_conversion,[],[f712]) ).
cnf(s39,plain,
( ~ spl0_4
| ~ spl0_12 ),
inference(sat_conversion,[],[f729]) ).
cnf(s40,plain,
( ~ spl0_7
| ~ spl0_19 ),
inference(sat_conversion,[],[f750]) ).
cnf(s41,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(sat_conversion,[],[f769]) ).
cnf(s42,plain,
( ~ spl0_12
| ~ spl0_16 ),
inference(sat_conversion,[],[f805]) ).
cnf(s43,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(sat_conversion,[],[f832]) ).
cnf(s44,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(sat_conversion,[],[f853]) ).
cnf(s45,plain,
( ~ spl0_8
| ~ spl0_16 ),
inference(sat_conversion,[],[f903]) ).
cnf(s46,plain,
( ~ spl0_10
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s12,s4,s5,s32,s38,s25,s22,s41,s40]) ).
cnf(s47,plain,
( ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s34,s4,s5,s9,s10,s3,s46,s14,s40,s41,s39,s25,s22]) ).
cnf(s48,plain,
( ~ spl0_11
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s12,s4,s5,s16,s33,s25,s22,s21,s19]) ).
cnf(s49,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s20,s4,s5,s9,s10,s3,s48,s19,s21,s27,s39,s25,s22]) ).
cnf(s50,plain,
( ~ spl0_10
| ~ spl0_4 ),
inference(rat,[],[s20,s4,s5,s32,s38,s25,s22,s8,s7,s2,s49,s47,s36]) ).
cnf(s51,plain,
~ spl0_4,
inference(rat,[],[s34,s4,s5,s16,s33,s3,s50,s6,s7,s8,s2,s49,s47,s22,s25,s36,s39]) ).
cnf(s52,plain,
( ~ spl0_13
| ~ spl0_10
| ~ spl0_3 ),
inference(rat,[],[s30,s2,s5,s7,s12,s44,s23,s38,s27]) ).
cnf(s53,plain,
( ~ spl0_10
| ~ spl0_3 ),
inference(rat,[],[s8,s5,s2,s24,s45,s4,s52,s27,s32,s38,s44,s23,s17]) ).
cnf(s54,plain,
( ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s19,s5,s2,s26,s43,s3,s7,s9,s12,s44,s28,s23,s53]) ).
cnf(s55,plain,
( ~ spl0_17
| ~ spl0_3 ),
inference(rat,[],[s21,s4,s2,s42,s43,s3,s8,s10,s44,s28,s17,s53,s54]) ).
cnf(s56,plain,
( ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s34,s5,s4,s30,s45,s23,s17,s54,s55]) ).
cnf(s57,plain,
( ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s24,s5,s4,s19,s21,s23,s17,s54,s55]) ).
cnf(s58,plain,
~ spl0_3,
inference(rat,[],[s34,s5,s4,s26,s42,s3,s6,s2,s57,s56,s55,s54,s53,s17,s23,s28,s44]) ).
cnf(s59,plain,
( ~ spl0_7
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s26,s3,s5,s14,s40,s37,s13,s12,s9]) ).
cnf(s60,plain,
( ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s33,s5,s3,s30,s43,s2,s59,s7,s9,s12,s37,s13,s11]) ).
cnf(s61,plain,
( ~ spl0_7
| spl0_9
| ~ spl0_2 ),
inference(rat,[],[s42,s3,s4,s14,s41,s15,s13,s60]) ).
cnf(s62,plain,
( ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s16,s3,s4,s43,s45,s2,s61,s8,s10,s15,s13,s11,s60]) ).
cnf(s63,plain,
( ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s24,s5,s4,s40,s41,s37,s15,s60,s62]) ).
cnf(s64,plain,
( ~ spl0_20
| ~ spl0_2 ),
inference(rat,[],[s3,s16,s6,s4,s2,s24,s26,s30,s15,s13,s11,s60,s63]) ).
cnf(s65,plain,
~ spl0_2,
inference(rat,[],[s6,s3,s2,s42,s45,s4,s20,s33,s5,s64,s63,s62,s60,s11,s13,s15,s37]) ).
cnf(s66,plain,
spl0_1,
inference(rat,[],[s1,s51,s58,s65]) ).
cnf(s67,plain,
~ spl0_17,
inference(rat,[],[s35,s66]) ).
cnf(s68,plain,
~ spl0_5,
inference(rat,[],[s31,s66]) ).
cnf(s69,plain,
~ spl0_13,
inference(rat,[],[s29,s66]) ).
cnf(s70,plain,
~ spl0_9,
inference(rat,[],[s18,s66]) ).
cnf(s71,plain,
( ~ spl0_10
| ~ spl0_7 ),
inference(rat,[],[s24,s4,s5,s32,s38,s41,s40,s69,s67]) ).
cnf(s72,plain,
~ spl0_7,
inference(rat,[],[s34,s5,s4,s26,s42,s3,s71,s14,s40,s41,s67,s69,s70]) ).
cnf(s73,plain,
~ spl0_10,
inference(rat,[],[s20,s5,s4,s30,s45,s2,s27,s32,s38,s67,s69,s68,s72]) ).
cnf(s74,plain,
~ spl0_20,
inference(rat,[],[s4,s16,s21,s3,s2,s24,s26,s30,s69,s70,s73,s68,s72]) ).
cnf(s75,plain,
~ spl0_19,
inference(rat,[],[s21,s4,s2,s42,s43,s3,s20,s33,s69,s68,s72,s70,s73]) ).
cnf(s76,plain,
spl0_18,
inference(rat,[],[s5,s74,s67,s75]) ).
cnf(s77,plain,
~ spl0_14,
inference(rat,[],[s34,s76]) ).
cnf(s78,plain,
~ spl0_6,
inference(rat,[],[s19,s76]) ).
cnf(s79,plain,
spl0_8,
inference(rat,[],[s2,s72,s68,s78]) ).
cnf(s80,plain,
~ spl0_16,
inference(rat,[],[s45,s79]) ).
cnf(s81,plain,
~ spl0_12,
inference(rat,[],[s43,s79]) ).
cnf(s82,plain,
spl0_15,
inference(rat,[],[s4,s77,s69,s80]) ).
cnf(s83,plain,
spl0_11,
inference(rat,[],[s3,s73,s70,s81]) ).
cnf(s84,plain,
$false,
inference(rat,[],[s16,s82,s83]) ).
fof(f904,plain,
$false,
inference(avatar_sat_refutation,[],[s84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC007-2.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 17:43:12 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.44 % (3092643)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (3092653)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2622772982:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.44 % (3092650)% WARNING: option uhcvi not known.
% 0.10/0.44 % (3092651)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=34260846:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.44 % (3092650)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3010007744:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.44 % (3092655)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3215126327:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.44 % (3092654)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2497879113:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.44 % (3092652)dis+10_1_sil=32000:sp=arity:random_seed=1898139350:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.44 % (3092649)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2370748057_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.44 % (3092653) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3092643-3092653"...
% 0.10/0.44 % Detected minimum model sizes of [5]
% 0.10/0.44 % Detected maximum model sizes of [max]
% 0.10/0.44 % TRYING [5]
% 0.10/0.44 % (3092653)...printing done.
% 0.10/0.44 % TRYING [6]
% 0.10/0.44 % (3092653)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (3092653)------------------------------
% 0.10/0.44 % (3092653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (3092653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (3092653)CaDiCaL version: 2.1.3
% 0.10/0.44 % (3092653)Termination reason: Refutation
% 0.10/0.44 % (3092653)Time elapsed: 0.012 s
% 0.10/0.44 % (3092653)Peak memory usage: 12 MB
% 0.10/0.44 % (3092653)Instructions burned: 30 (million)
% 0.10/0.44 % (3092643)Success in time 0.028 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------