%------------------------------------------------------------------------------
% File : Vampire---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/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:04:56 PM UTC 2026
% Result : Unsatisfiable 2.71s 1.22s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 38
% Syntax : Number of formulae : 397 ( 34 unt; 19 def)
% Number of atoms : 1254 ( 347 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1549 ( 692 ~; 838 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 20 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-1 aty)
% Number of variables : 75 ( 0 sgn 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
pigeon(pigeon_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1) ).
fof(f6,axiom,
pigeon(pigeon_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_2) ).
fof(f7,axiom,
pigeon(pigeon_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_3) ).
fof(f8,axiom,
pigeon(pigeon_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_4) ).
fof(f9,axiom,
pigeon(pigeon_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_5) ).
fof(f10,axiom,
pigeon_1 != pigeon_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_2) ).
fof(f11,axiom,
pigeon_1 != pigeon_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_3) ).
fof(f12,axiom,
pigeon_1 != pigeon_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_4) ).
fof(f13,axiom,
pigeon_1 != pigeon_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_5) ).
fof(f14,axiom,
pigeon_2 != pigeon_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_3) ).
fof(f15,axiom,
pigeon_2 != pigeon_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_4) ).
fof(f16,axiom,
pigeon_2 != pigeon_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_5) ).
fof(f17,axiom,
pigeon_3 != pigeon_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_3_is_not_pigeon_4) ).
fof(f18,axiom,
pigeon_3 != pigeon_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_3_is_not_pigeon_5) ).
fof(f19,axiom,
pigeon_4 != pigeon_5,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',each_pigeons_hole1) ).
fof(f33,axiom,
! [X0] :
( in(X0,hole_of(X0))
| ~ pigeon(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_pigeons_hole2) ).
fof(f34,negated_conjecture,
! [X2,X0,X1] :
( ~ hole(X0)
| ~ pigeon(X1)
| ~ pigeon(X2)
| ~ in(X1,X0)
| ~ in(X2,X0)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ in(X2,hole_of(X0))
| ~ pigeon(X1)
| ~ pigeon(X2)
| ~ in(X1,hole_of(X0))
| ~ pigeon(X0)
| X1 = X2 ),
inference(resolution,[],[f32,f34]) ).
fof(f51,plain,
! [X0,X1] :
( ~ pigeon(X0)
| ~ pigeon(X1)
| ~ in(X0,hole_of(X1))
| ~ pigeon(X1)
| X0 = X1
| ~ pigeon(X1) ),
inference(resolution,[],[f50,f33]) ).
fof(f54,plain,
! [X0,X1] :
( ~ in(X0,hole_of(X1))
| ~ pigeon(X1)
| ~ pigeon(X0)
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f51]) ).
fof(f59,plain,
! [X0] :
( hole_4 = hole_of(X0)
| hole_2 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_1 = hole_of(X0)
| ~ pigeon(X0) ),
inference(resolution,[],[f31,f32]) ).
fof(f62,plain,
! [X0,X1] :
( ~ in(X0,hole_4)
| ~ pigeon(X1)
| ~ pigeon(X0)
| X0 = X1
| hole_2 = hole_of(X1)
| hole_3 = hole_of(X1)
| hole_1 = hole_of(X1)
| ~ pigeon(X1) ),
inference(superposition,[],[f54,f59]) ).
fof(f64,plain,
! [X0] :
( in(X0,hole_4)
| ~ pigeon(X0)
| hole_2 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_1 = hole_of(X0)
| ~ pigeon(X0) ),
inference(superposition,[],[f33,f59]) ).
fof(f70,plain,
! [X0] :
( in(X0,hole_4)
| ~ pigeon(X0)
| hole_2 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_1 = hole_of(X0) ),
inference(duplicate_literal_removal,[],[f64]) ).
fof(f72,plain,
! [X0,X1] :
( ~ in(X0,hole_4)
| ~ pigeon(X1)
| ~ pigeon(X0)
| X0 = X1
| hole_2 = hole_of(X1)
| hole_3 = hole_of(X1)
| hole_1 = hole_of(X1) ),
inference(duplicate_literal_removal,[],[f62]) ).
fof(f73,plain,
! [X0,X1] :
( ~ pigeon(X0)
| hole_2 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_1 = hole_of(X0)
| ~ pigeon(X1)
| ~ pigeon(X0)
| X0 = X1
| hole_2 = hole_of(X1)
| hole_3 = hole_of(X1)
| hole_1 = hole_of(X1) ),
inference(resolution,[],[f70,f72]) ).
fof(f76,plain,
! [X0,X1] :
( ~ pigeon(X0)
| hole_2 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_1 = hole_of(X0)
| ~ pigeon(X1)
| X0 = X1
| hole_2 = hole_of(X1)
| hole_3 = hole_of(X1)
| hole_1 = hole_of(X1) ),
inference(duplicate_literal_removal,[],[f73]) ).
fof(f77,plain,
! [X0] :
( hole_2 = hole_of(pigeon_1)
| hole_3 = hole_of(pigeon_1)
| hole_1 = hole_of(pigeon_1)
| ~ pigeon(X0)
| pigeon_1 = X0
| hole_2 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_1 = hole_of(X0) ),
inference(resolution,[],[f76,f5]) ).
fof(f79,plain,
! [X0] :
( hole_2 = hole_of(pigeon_3)
| hole_3 = hole_of(pigeon_3)
| hole_1 = hole_of(pigeon_3)
| ~ pigeon(X0)
| pigeon_3 = X0
| hole_2 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_1 = hole_of(X0) ),
inference(resolution,[],[f76,f7]) ).
fof(f80,plain,
! [X0] :
( hole_2 = hole_of(pigeon_4)
| hole_3 = hole_of(pigeon_4)
| hole_1 = hole_of(pigeon_4)
| ~ pigeon(X0)
| pigeon_4 = X0
| hole_2 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_1 = hole_of(X0) ),
inference(resolution,[],[f76,f8]) ).
fof(f81,plain,
! [X0] :
( hole_2 = hole_of(pigeon_5)
| hole_3 = hole_of(pigeon_5)
| hole_1 = hole_of(pigeon_5)
| ~ pigeon(X0)
| pigeon_5 = X0
| hole_2 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_1 = hole_of(X0) ),
inference(resolution,[],[f76,f9]) ).
fof(f85,definition,
( spl0_1
<=> ! [X0] :
( ~ pigeon(X0)
| hole_1 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_2 = hole_of(X0)
| pigeon_5 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f86,plain,
( ! [X0] :
( ~ pigeon(X0)
| hole_1 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_2 = hole_of(X0)
| pigeon_5 = X0 )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,definition,
( spl0_2
<=> hole_1 = hole_of(pigeon_5) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f89,plain,
( hole_1 != hole_of(pigeon_5)
| spl0_2 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f90,plain,
( hole_1 = hole_of(pigeon_5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f92,definition,
( spl0_3
<=> hole_3 = hole_of(pigeon_5) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f93,plain,
( hole_3 != hole_of(pigeon_5)
| spl0_3 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f94,plain,
( hole_3 = hole_of(pigeon_5)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f96,definition,
( spl0_4
<=> hole_2 = hole_of(pigeon_5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f98,plain,
( hole_2 = hole_of(pigeon_5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f81,f96,f92,f88,f85]) ).
fof(f101,definition,
( spl0_5
<=> ! [X0] :
( ~ pigeon(X0)
| hole_1 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_2 = hole_of(X0)
| pigeon_4 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f102,plain,
( ! [X0] :
( ~ pigeon(X0)
| hole_1 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_2 = hole_of(X0)
| pigeon_4 = X0 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,definition,
( spl0_6
<=> hole_1 = hole_of(pigeon_4) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f105,plain,
( hole_1 != hole_of(pigeon_4)
| spl0_6 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f106,plain,
( hole_1 = hole_of(pigeon_4)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f108,definition,
( spl0_7
<=> hole_3 = hole_of(pigeon_4) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f109,plain,
( hole_3 != hole_of(pigeon_4)
| spl0_7 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f110,plain,
( hole_3 = hole_of(pigeon_4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f112,definition,
( spl0_8
<=> hole_2 = hole_of(pigeon_4) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f114,plain,
( hole_2 = hole_of(pigeon_4)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f80,f112,f108,f104,f101]) ).
fof(f117,definition,
( spl0_9
<=> ! [X0] :
( ~ pigeon(X0)
| hole_1 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_2 = hole_of(X0)
| pigeon_3 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f118,plain,
( ! [X0] :
( ~ pigeon(X0)
| hole_1 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_2 = hole_of(X0)
| pigeon_3 = X0 )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,definition,
( spl0_10
<=> hole_1 = hole_of(pigeon_3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f121,plain,
( hole_1 != hole_of(pigeon_3)
| spl0_10 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f122,plain,
( hole_1 = hole_of(pigeon_3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f124,definition,
( spl0_11
<=> hole_3 = hole_of(pigeon_3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f125,plain,
( hole_3 != hole_of(pigeon_3)
| spl0_11 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f126,plain,
( hole_3 = hole_of(pigeon_3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f128,definition,
( spl0_12
<=> hole_2 = hole_of(pigeon_3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f130,plain,
( hole_2 = hole_of(pigeon_3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
( spl0_9
| spl0_10
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f79,f128,f124,f120,f117]) ).
fof(f136,definition,
( spl0_14
<=> hole_1 = hole_of(pigeon_2) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f137,plain,
( hole_1 != hole_of(pigeon_2)
| spl0_14 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f138,plain,
( hole_1 = hole_of(pigeon_2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f140,definition,
( spl0_15
<=> hole_3 = hole_of(pigeon_2) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f141,plain,
( hole_3 != hole_of(pigeon_2)
| spl0_15 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f142,plain,
( hole_3 = hole_of(pigeon_2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f144,definition,
( spl0_16
<=> hole_2 = hole_of(pigeon_2) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f146,plain,
( hole_2 = hole_of(pigeon_2)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f149,definition,
( spl0_17
<=> ! [X0] :
( ~ pigeon(X0)
| hole_1 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_2 = hole_of(X0)
| pigeon_1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f150,plain,
( ! [X0] :
( ~ pigeon(X0)
| hole_1 = hole_of(X0)
| hole_3 = hole_of(X0)
| hole_2 = hole_of(X0)
| pigeon_1 = X0 )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f152,definition,
( spl0_18
<=> hole_1 = hole_of(pigeon_1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f154,plain,
( hole_1 = hole_of(pigeon_1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f156,definition,
( spl0_19
<=> hole_3 = hole_of(pigeon_1) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f157,plain,
( hole_3 != hole_of(pigeon_1)
| spl0_19 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f158,plain,
( hole_3 = hole_of(pigeon_1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f160,definition,
( spl0_20
<=> hole_2 = hole_of(pigeon_1) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f162,plain,
( hole_2 = hole_of(pigeon_1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f163,plain,
( spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f77,f160,f156,f152,f149]) ).
fof(f165,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(pigeon_5)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_2 ),
inference(superposition,[],[f54,f90]) ).
fof(f167,plain,
( in(pigeon_5,hole_1)
| ~ pigeon(pigeon_5)
| ~ spl0_2 ),
inference(superposition,[],[f33,f90]) ).
fof(f169,plain,
( in(pigeon_5,hole_1)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f167,f9]) ).
fof(f170,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f165,f9]) ).
fof(f185,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(pigeon_4)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_6 ),
inference(superposition,[],[f54,f106]) ).
fof(f187,plain,
( in(pigeon_4,hole_1)
| ~ pigeon(pigeon_4)
| ~ spl0_6 ),
inference(superposition,[],[f33,f106]) ).
fof(f189,plain,
( in(pigeon_4,hole_1)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f187,f8]) ).
fof(f190,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f185,f8]) ).
fof(f192,plain,
( hole_1 = hole_of(pigeon_2)
| hole_3 = hole_of(pigeon_2)
| hole_2 = hole_of(pigeon_2)
| pigeon_2 = pigeon_3
| ~ spl0_9 ),
inference(resolution,[],[f118,f6]) ).
fof(f195,plain,
( hole_1 = hole_of(pigeon_5)
| hole_3 = hole_of(pigeon_5)
| hole_2 = hole_of(pigeon_5)
| pigeon_3 = pigeon_5
| ~ spl0_9 ),
inference(resolution,[],[f118,f9]) ).
fof(f196,plain,
( hole_1 = hole_of(pigeon_2)
| hole_3 = hole_of(pigeon_2)
| hole_2 = hole_of(pigeon_2)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f192,f14]) ).
fof(f205,plain,
( in(pigeon_3,hole_1)
| ~ pigeon(pigeon_3)
| ~ spl0_10 ),
inference(superposition,[],[f33,f122]) ).
fof(f207,plain,
( in(pigeon_3,hole_1)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f205,f7]) ).
fof(f221,plain,
( in(pigeon_2,hole_1)
| ~ pigeon(pigeon_2)
| ~ spl0_14 ),
inference(superposition,[],[f33,f138]) ).
fof(f223,plain,
( in(pigeon_2,hole_1)
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f221,f6]) ).
fof(f226,plain,
( hole_1 = hole_of(pigeon_2)
| hole_3 = hole_of(pigeon_2)
| hole_2 = hole_of(pigeon_2)
| pigeon_1 = pigeon_2
| ~ spl0_17 ),
inference(resolution,[],[f150,f6]) ).
fof(f227,plain,
( hole_1 = hole_of(pigeon_3)
| hole_3 = hole_of(pigeon_3)
| hole_2 = hole_of(pigeon_3)
| pigeon_1 = pigeon_3
| ~ spl0_17 ),
inference(resolution,[],[f150,f7]) ).
fof(f228,plain,
( hole_1 = hole_of(pigeon_4)
| hole_3 = hole_of(pigeon_4)
| hole_2 = hole_of(pigeon_4)
| pigeon_1 = pigeon_4
| ~ spl0_17 ),
inference(resolution,[],[f150,f8]) ).
fof(f229,plain,
( hole_1 = hole_of(pigeon_5)
| hole_3 = hole_of(pigeon_5)
| hole_2 = hole_of(pigeon_5)
| pigeon_1 = pigeon_5
| ~ spl0_17 ),
inference(resolution,[],[f150,f9]) ).
fof(f232,plain,
( ~ pigeon(pigeon_2)
| pigeon_2 = pigeon_5
| ~ spl0_2
| ~ spl0_14 ),
inference(resolution,[],[f170,f223]) ).
fof(f233,plain,
( ~ pigeon(pigeon_3)
| pigeon_3 = pigeon_5
| ~ spl0_2
| ~ spl0_10 ),
inference(resolution,[],[f170,f207]) ).
fof(f234,plain,
( ~ pigeon(pigeon_4)
| pigeon_4 = pigeon_5
| ~ spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f170,f189]) ).
fof(f236,plain,
( pigeon_4 = pigeon_5
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f234,f8]) ).
fof(f237,plain,
( pigeon_3 = pigeon_5
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f233,f7]) ).
fof(f238,plain,
( pigeon_2 = pigeon_5
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f232,f6]) ).
fof(f239,plain,
( $false
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f236,f19]) ).
fof(f240,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f239]) ).
fof(f241,plain,
( $false
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f237,f18]) ).
fof(f242,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f243,plain,
( $false
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f238,f16]) ).
fof(f244,plain,
( ~ spl0_2
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f245,plain,
( hole_1 = hole_of(pigeon_5)
| hole_3 = hole_of(pigeon_5)
| hole_2 = hole_of(pigeon_5)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f229,f13]) ).
fof(f251,plain,
( in(pigeon_1,hole_1)
| ~ pigeon(pigeon_1)
| ~ spl0_18 ),
inference(superposition,[],[f33,f154]) ).
fof(f253,plain,
( in(pigeon_1,hole_1)
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f251,f5]) ).
fof(f258,plain,
( hole_1 = hole_of(pigeon_2)
| hole_3 = hole_of(pigeon_2)
| hole_2 = hole_of(pigeon_2)
| pigeon_2 = pigeon_5
| ~ spl0_1 ),
inference(resolution,[],[f86,f6]) ).
fof(f262,plain,
( ~ pigeon(pigeon_1)
| pigeon_1 = pigeon_4
| ~ spl0_6
| ~ spl0_18 ),
inference(resolution,[],[f190,f253]) ).
fof(f263,plain,
( ~ pigeon(pigeon_2)
| pigeon_2 = pigeon_4
| ~ spl0_6
| ~ spl0_14 ),
inference(resolution,[],[f190,f223]) ).
fof(f264,plain,
( ~ pigeon(pigeon_3)
| pigeon_3 = pigeon_4
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f190,f207]) ).
fof(f266,plain,
( pigeon_3 = pigeon_4
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f264,f7]) ).
fof(f267,plain,
( pigeon_2 = pigeon_4
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f263,f6]) ).
fof(f268,plain,
( pigeon_1 = pigeon_4
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f262,f5]) ).
fof(f269,plain,
( $false
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f266,f17]) ).
fof(f270,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f269]) ).
fof(f271,plain,
( $false
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f267,f15]) ).
fof(f272,plain,
( ~ spl0_6
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f271]) ).
fof(f273,plain,
( $false
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f268,f12]) ).
fof(f274,plain,
( ~ spl0_6
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f276,plain,
( hole_1 = hole_of(pigeon_2)
| hole_3 = hole_of(pigeon_2)
| hole_2 = hole_of(pigeon_2)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f258,f16]) ).
fof(f284,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(pigeon_3)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_11 ),
inference(superposition,[],[f54,f126]) ).
fof(f286,plain,
( in(pigeon_3,hole_3)
| ~ pigeon(pigeon_3)
| ~ spl0_11 ),
inference(superposition,[],[f33,f126]) ).
fof(f288,plain,
( in(pigeon_3,hole_3)
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f286,f7]) ).
fof(f289,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f284,f7]) ).
fof(f297,plain,
( in(pigeon_2,hole_3)
| ~ pigeon(pigeon_2)
| ~ spl0_15 ),
inference(superposition,[],[f33,f142]) ).
fof(f299,plain,
( in(pigeon_2,hole_3)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f297,f6]) ).
fof(f308,plain,
( in(pigeon_1,hole_3)
| ~ pigeon(pigeon_1)
| ~ spl0_19 ),
inference(superposition,[],[f33,f158]) ).
fof(f310,plain,
( in(pigeon_1,hole_3)
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f308,f5]) ).
fof(f314,plain,
( ~ pigeon(pigeon_1)
| pigeon_1 = pigeon_3
| ~ spl0_11
| ~ spl0_19 ),
inference(resolution,[],[f289,f310]) ).
fof(f315,plain,
( ~ pigeon(pigeon_2)
| pigeon_2 = pigeon_3
| ~ spl0_11
| ~ spl0_15 ),
inference(resolution,[],[f289,f299]) ).
fof(f317,plain,
( pigeon_2 = pigeon_3
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f315,f6]) ).
fof(f318,plain,
( pigeon_1 = pigeon_3
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f314,f5]) ).
fof(f319,plain,
( $false
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f317,f14]) ).
fof(f320,plain,
( ~ spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f319]) ).
fof(f321,plain,
( $false
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f318,f11]) ).
fof(f322,plain,
( ~ spl0_11
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f327,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(pigeon_2)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_16 ),
inference(superposition,[],[f54,f146]) ).
fof(f329,plain,
( in(pigeon_2,hole_2)
| ~ pigeon(pigeon_2)
| ~ spl0_16 ),
inference(superposition,[],[f33,f146]) ).
fof(f331,plain,
( in(pigeon_2,hole_2)
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f329,f6]) ).
fof(f332,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f327,f6]) ).
fof(f341,plain,
( in(pigeon_1,hole_2)
| ~ pigeon(pigeon_1)
| ~ spl0_20 ),
inference(superposition,[],[f33,f162]) ).
fof(f343,plain,
( in(pigeon_1,hole_2)
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f341,f5]) ).
fof(f347,plain,
( ~ pigeon(pigeon_1)
| pigeon_1 = pigeon_2
| ~ spl0_16
| ~ spl0_20 ),
inference(resolution,[],[f332,f343]) ).
fof(f349,plain,
( pigeon_1 = pigeon_2
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f347,f5]) ).
fof(f350,plain,
( $false
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f349,f10]) ).
fof(f351,plain,
( ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f350]) ).
fof(f356,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(pigeon_5)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_3 ),
inference(superposition,[],[f54,f94]) ).
fof(f358,plain,
( in(pigeon_5,hole_3)
| ~ pigeon(pigeon_5)
| ~ spl0_3 ),
inference(superposition,[],[f33,f94]) ).
fof(f360,plain,
( in(pigeon_5,hole_3)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f358,f9]) ).
fof(f361,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f356,f9]) ).
fof(f363,plain,
( ~ pigeon(pigeon_5)
| pigeon_3 = pigeon_5
| ~ spl0_3
| ~ spl0_11 ),
inference(resolution,[],[f360,f289]) ).
fof(f366,plain,
( pigeon_3 = pigeon_5
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f363,f9]) ).
fof(f367,plain,
( $false
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f366,f18]) ).
fof(f368,plain,
( ~ spl0_3
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f369,plain,
( hole_1 = hole_of(pigeon_2)
| hole_2 = hole_of(pigeon_2)
| ~ spl0_9
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f196,f141]) ).
fof(f374,plain,
( hole_1 = hole_of(pigeon_4)
| hole_3 = hole_of(pigeon_4)
| hole_2 = hole_of(pigeon_4)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f228,f12]) ).
fof(f389,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(pigeon_4)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_8 ),
inference(superposition,[],[f54,f114]) ).
fof(f394,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f389,f8]) ).
fof(f402,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(pigeon_2)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_14 ),
inference(superposition,[],[f54,f138]) ).
fof(f406,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f402,f6]) ).
fof(f411,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(pigeon_1)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_20 ),
inference(superposition,[],[f54,f162]) ).
fof(f415,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f411,f5]) ).
fof(f422,plain,
( ~ pigeon(pigeon_1)
| pigeon_1 = pigeon_4
| ~ spl0_8
| ~ spl0_20 ),
inference(resolution,[],[f394,f343]) ).
fof(f424,plain,
( pigeon_1 = pigeon_4
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f422,f5]) ).
fof(f425,plain,
( $false
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f424,f12]) ).
fof(f426,plain,
( ~ spl0_8
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f434,plain,
( in(pigeon_4,hole_3)
| ~ pigeon(pigeon_4)
| ~ spl0_7 ),
inference(superposition,[],[f33,f110]) ).
fof(f436,plain,
( in(pigeon_4,hole_3)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f434,f8]) ).
fof(f438,plain,
( ~ pigeon(pigeon_4)
| pigeon_4 = pigeon_5
| ~ spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f436,f361]) ).
fof(f441,plain,
( pigeon_4 = pigeon_5
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f438,f8]) ).
fof(f442,plain,
( $false
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f441,f19]) ).
fof(f443,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f442]) ).
fof(f444,plain,
( hole_3 = hole_of(pigeon_5)
| hole_2 = hole_of(pigeon_5)
| pigeon_3 = pigeon_5
| spl0_2
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f195,f89]) ).
fof(f446,plain,
( hole_3 = hole_of(pigeon_5)
| hole_2 = hole_of(pigeon_5)
| spl0_2
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f444,f18]) ).
fof(f456,plain,
( in(pigeon_5,hole_2)
| ~ pigeon(pigeon_5)
| ~ spl0_4 ),
inference(superposition,[],[f33,f98]) ).
fof(f458,plain,
( in(pigeon_5,hole_2)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f456,f9]) ).
fof(f465,plain,
( ~ pigeon(pigeon_5)
| pigeon_1 = pigeon_5
| ~ spl0_4
| ~ spl0_20 ),
inference(resolution,[],[f415,f458]) ).
fof(f466,plain,
( pigeon_1 = pigeon_5
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f465,f9]) ).
fof(f467,plain,
( $false
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f466,f13]) ).
fof(f468,plain,
( ~ spl0_4
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f476,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(pigeon_5)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_3 ),
inference(superposition,[],[f54,f94]) ).
fof(f481,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f476,f9]) ).
fof(f482,plain,
( ~ pigeon(pigeon_1)
| pigeon_1 = pigeon_2
| ~ spl0_14
| ~ spl0_18 ),
inference(resolution,[],[f253,f406]) ).
fof(f485,plain,
( pigeon_1 = pigeon_2
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f482,f5]) ).
fof(f486,plain,
( $false
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f485,f10]) ).
fof(f487,plain,
( ~ spl0_14
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f486]) ).
fof(f498,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(pigeon_4)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_8 ),
inference(superposition,[],[f54,f114]) ).
fof(f503,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f498,f8]) ).
fof(f517,plain,
( ~ pigeon(pigeon_1)
| pigeon_1 = pigeon_5
| ~ spl0_3
| ~ spl0_19 ),
inference(resolution,[],[f481,f310]) ).
fof(f519,plain,
( pigeon_1 = pigeon_5
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f517,f5]) ).
fof(f520,plain,
( $false
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f519,f13]) ).
fof(f521,plain,
( ~ spl0_3
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f520]) ).
fof(f530,plain,
( ~ pigeon(pigeon_2)
| pigeon_2 = pigeon_5
| ~ spl0_3
| ~ spl0_15 ),
inference(resolution,[],[f299,f481]) ).
fof(f533,plain,
( pigeon_2 = pigeon_5
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f530,f6]) ).
fof(f534,plain,
( $false
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f533,f16]) ).
fof(f535,plain,
( ~ spl0_3
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f536,plain,
( hole_2 = hole_of(pigeon_2)
| ~ spl0_9
| spl0_14
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f369,f137]) ).
fof(f537,plain,
( spl0_16
| ~ spl0_9
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f536,f140,f136,f117,f144]) ).
fof(f550,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(pigeon_1)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_18 ),
inference(superposition,[],[f54,f154]) ).
fof(f554,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(X0)
| pigeon_1 = X0 )
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f550,f5]) ).
fof(f557,plain,
( ~ pigeon(pigeon_2)
| pigeon_2 = pigeon_4
| ~ spl0_8
| ~ spl0_16 ),
inference(resolution,[],[f503,f331]) ).
fof(f559,plain,
( pigeon_2 = pigeon_4
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f557,f6]) ).
fof(f560,plain,
( $false
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f559,f15]) ).
fof(f561,plain,
( ~ spl0_8
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f579,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(pigeon_2)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_15 ),
inference(superposition,[],[f54,f142]) ).
fof(f583,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f579,f6]) ).
fof(f586,plain,
( ~ pigeon(pigeon_5)
| pigeon_1 = pigeon_5
| ~ spl0_2
| ~ spl0_18 ),
inference(resolution,[],[f554,f169]) ).
fof(f587,plain,
( pigeon_1 = pigeon_5
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f586,f9]) ).
fof(f588,plain,
( $false
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f587,f13]) ).
fof(f589,plain,
( ~ spl0_2
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f588]) ).
fof(f593,plain,
( ~ pigeon(pigeon_5)
| pigeon_4 = pigeon_5
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[],[f458,f503]) ).
fof(f596,plain,
( pigeon_4 = pigeon_5
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f593,f9]) ).
fof(f597,plain,
( $false
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f596,f19]) ).
fof(f598,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f619,plain,
( ~ pigeon(pigeon_4)
| pigeon_2 = pigeon_4
| ~ spl0_7
| ~ spl0_15 ),
inference(resolution,[],[f583,f436]) ).
fof(f620,plain,
( pigeon_2 = pigeon_4
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f619,f8]) ).
fof(f621,plain,
( $false
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f620,f15]) ).
fof(f622,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f635,plain,
( ~ pigeon(pigeon_1)
| pigeon_1 = pigeon_2
| ~ spl0_15
| ~ spl0_19 ),
inference(resolution,[],[f310,f583]) ).
fof(f638,plain,
( pigeon_1 = pigeon_2
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f635,f5]) ).
fof(f639,plain,
( $false
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f638,f10]) ).
fof(f640,plain,
( ~ spl0_15
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f644,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(pigeon_4)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_7 ),
inference(superposition,[],[f54,f110]) ).
fof(f649,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f644,f8]) ).
fof(f659,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(pigeon_2)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_16 ),
inference(superposition,[],[f54,f146]) ).
fof(f663,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(X0)
| pigeon_2 = X0 )
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f659,f6]) ).
fof(f674,plain,
( ~ pigeon(pigeon_1)
| pigeon_1 = pigeon_4
| ~ spl0_7
| ~ spl0_19 ),
inference(resolution,[],[f649,f310]) ).
fof(f676,plain,
( pigeon_1 = pigeon_4
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f674,f5]) ).
fof(f677,plain,
( $false
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f676,f12]) ).
fof(f678,plain,
( ~ spl0_7
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f679,plain,
( hole_2 = hole_of(pigeon_5)
| spl0_2
| spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f446,f93]) ).
fof(f682,plain,
( spl0_4
| spl0_2
| spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f679,f117,f92,f88,f96]) ).
fof(f706,plain,
( ~ pigeon(pigeon_5)
| pigeon_2 = pigeon_5
| ~ spl0_4
| ~ spl0_16 ),
inference(resolution,[],[f663,f458]) ).
fof(f707,plain,
( pigeon_2 = pigeon_5
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f706,f9]) ).
fof(f708,plain,
( $false
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f707,f16]) ).
fof(f709,plain,
( ~ spl0_4
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f708]) ).
fof(f711,plain,
( hole_3 = hole_of(pigeon_5)
| hole_2 = hole_of(pigeon_5)
| spl0_2
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f245,f89]) ).
fof(f715,plain,
( spl0_4
| spl0_3
| spl0_2
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f711,f149,f88,f92,f96]) ).
fof(f733,plain,
( in(pigeon_3,hole_2)
| ~ pigeon(pigeon_3)
| ~ spl0_12 ),
inference(superposition,[],[f33,f130]) ).
fof(f735,plain,
( in(pigeon_3,hole_2)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f733,f7]) ).
fof(f737,plain,
( ~ pigeon(pigeon_3)
| pigeon_2 = pigeon_3
| ~ spl0_12
| ~ spl0_16 ),
inference(resolution,[],[f735,f663]) ).
fof(f740,plain,
( pigeon_2 = pigeon_3
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f737,f7]) ).
fof(f741,plain,
( $false
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f740,f14]) ).
fof(f742,plain,
( ~ spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f741]) ).
fof(f755,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(pigeon_3)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_10 ),
inference(superposition,[],[f54,f122]) ).
fof(f759,plain,
( ! [X0] :
( ~ in(X0,hole_1)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f755,f7]) ).
fof(f769,plain,
( hole_1 = hole_of(pigeon_1)
| hole_3 = hole_of(pigeon_1)
| hole_2 = hole_of(pigeon_1)
| pigeon_1 = pigeon_4
| ~ spl0_5 ),
inference(resolution,[],[f102,f5]) ).
fof(f770,plain,
( hole_1 = hole_of(pigeon_2)
| hole_3 = hole_of(pigeon_2)
| hole_2 = hole_of(pigeon_2)
| pigeon_2 = pigeon_4
| ~ spl0_5 ),
inference(resolution,[],[f102,f6]) ).
fof(f771,plain,
( hole_1 = hole_of(pigeon_3)
| hole_3 = hole_of(pigeon_3)
| hole_2 = hole_of(pigeon_3)
| pigeon_3 = pigeon_4
| ~ spl0_5 ),
inference(resolution,[],[f102,f7]) ).
fof(f773,plain,
( hole_1 = hole_of(pigeon_5)
| hole_3 = hole_of(pigeon_5)
| hole_2 = hole_of(pigeon_5)
| pigeon_4 = pigeon_5
| ~ spl0_5 ),
inference(resolution,[],[f102,f9]) ).
fof(f775,plain,
( ~ pigeon(pigeon_1)
| pigeon_1 = pigeon_3
| ~ spl0_10
| ~ spl0_18 ),
inference(resolution,[],[f759,f253]) ).
fof(f777,plain,
( pigeon_1 = pigeon_3
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f775,f5]) ).
fof(f778,plain,
( $false
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f777,f11]) ).
fof(f779,plain,
( ~ spl0_10
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f781,plain,
( hole_3 = hole_of(pigeon_4)
| hole_2 = hole_of(pigeon_4)
| spl0_6
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f374,f105]) ).
fof(f784,plain,
( hole_2 = hole_of(pigeon_4)
| spl0_6
| spl0_7
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f781,f109]) ).
fof(f786,plain,
( spl0_8
| spl0_6
| spl0_7
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f784,f149,f108,f104,f112]) ).
fof(f787,plain,
( ~ pigeon(pigeon_2)
| pigeon_2 = pigeon_3
| ~ spl0_10
| ~ spl0_14 ),
inference(resolution,[],[f223,f759]) ).
fof(f790,plain,
( pigeon_2 = pigeon_3
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f787,f6]) ).
fof(f791,plain,
( $false
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f790,f14]) ).
fof(f792,plain,
( ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f791]) ).
fof(f802,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(pigeon_4)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_8 ),
inference(superposition,[],[f54,f114]) ).
fof(f807,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f802,f8]) ).
fof(f816,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(pigeon_3)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_12 ),
inference(superposition,[],[f54,f130]) ).
fof(f820,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(X0)
| pigeon_3 = X0 )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f816,f7]) ).
fof(f832,plain,
( ~ pigeon(pigeon_3)
| pigeon_3 = pigeon_4
| ~ spl0_8
| ~ spl0_12 ),
inference(resolution,[],[f807,f735]) ).
fof(f834,plain,
( pigeon_3 = pigeon_4
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f832,f7]) ).
fof(f835,plain,
( $false
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f834,f17]) ).
fof(f836,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f835]) ).
fof(f854,plain,
( ~ pigeon(pigeon_1)
| pigeon_1 = pigeon_3
| ~ spl0_12
| ~ spl0_20 ),
inference(resolution,[],[f820,f343]) ).
fof(f856,plain,
( pigeon_1 = pigeon_3
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f854,f5]) ).
fof(f857,plain,
( $false
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f856,f11]) ).
fof(f858,plain,
( ~ spl0_12
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f857]) ).
fof(f859,plain,
( spl0_16
| spl0_15
| spl0_14
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f276,f85,f136,f140,f144]) ).
fof(f863,plain,
( hole_1 = hole_of(pigeon_2)
| hole_3 = hole_of(pigeon_2)
| hole_2 = hole_of(pigeon_2)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f770,f15]) ).
fof(f866,plain,
( hole_1 = hole_of(pigeon_3)
| hole_2 = hole_of(pigeon_3)
| pigeon_3 = pigeon_4
| ~ spl0_5
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f771,f125]) ).
fof(f868,plain,
( hole_3 = hole_of(pigeon_5)
| hole_2 = hole_of(pigeon_5)
| pigeon_4 = pigeon_5
| spl0_2
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f773,f89]) ).
fof(f871,plain,
( spl0_16
| spl0_15
| spl0_14
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f863,f101,f136,f140,f144]) ).
fof(f873,plain,
( hole_1 = hole_of(pigeon_3)
| hole_2 = hole_of(pigeon_3)
| ~ spl0_5
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f866,f17]) ).
fof(f875,plain,
( hole_3 = hole_of(pigeon_5)
| hole_2 = hole_of(pigeon_5)
| spl0_2
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f868,f19]) ).
fof(f877,plain,
( spl0_12
| spl0_10
| ~ spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f873,f124,f101,f120,f128]) ).
fof(f879,plain,
( spl0_4
| spl0_3
| spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f875,f101,f88,f92,f96]) ).
fof(f883,plain,
( hole_1 = hole_of(pigeon_1)
| hole_2 = hole_of(pigeon_1)
| pigeon_1 = pigeon_4
| ~ spl0_5
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f769,f157]) ).
fof(f885,plain,
( hole_1 = hole_of(pigeon_1)
| hole_2 = hole_of(pigeon_1)
| ~ spl0_5
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f883,f12]) ).
fof(f886,plain,
( spl0_20
| spl0_18
| ~ spl0_5
| spl0_19 ),
inference(avatar_split_clause,[],[f885,f156,f101,f152,f160]) ).
fof(f893,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(pigeon_5)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_4 ),
inference(superposition,[],[f54,f98]) ).
fof(f898,plain,
( ! [X0] :
( ~ in(X0,hole_2)
| ~ pigeon(X0)
| pigeon_5 = X0 )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f893,f9]) ).
fof(f932,plain,
( ~ pigeon(pigeon_3)
| pigeon_3 = pigeon_5
| ~ spl0_4
| ~ spl0_12 ),
inference(resolution,[],[f898,f735]) ).
fof(f934,plain,
( pigeon_3 = pigeon_5
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f932,f7]) ).
fof(f935,plain,
( $false
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f934,f18]) ).
fof(f936,plain,
( ~ spl0_4
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f935]) ).
fof(f939,plain,
( hole_1 = hole_of(pigeon_2)
| hole_3 = hole_of(pigeon_2)
| hole_2 = hole_of(pigeon_2)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f226,f10]) ).
fof(f940,plain,
( hole_3 = hole_of(pigeon_3)
| hole_2 = hole_of(pigeon_3)
| pigeon_1 = pigeon_3
| spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f227,f121]) ).
fof(f945,plain,
( spl0_16
| spl0_15
| spl0_14
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f939,f149,f136,f140,f144]) ).
fof(f946,plain,
( hole_3 = hole_of(pigeon_3)
| hole_2 = hole_of(pigeon_3)
| spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f940,f11]) ).
fof(f949,plain,
( spl0_12
| spl0_11
| spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f946,f149,f120,f124,f128]) ).
fof(f953,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(pigeon_4)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_7 ),
inference(superposition,[],[f54,f110]) ).
fof(f958,plain,
( ! [X0] :
( ~ in(X0,hole_3)
| ~ pigeon(X0)
| pigeon_4 = X0 )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f953,f8]) ).
fof(f984,plain,
( ~ pigeon(pigeon_3)
| pigeon_3 = pigeon_4
| ~ spl0_7
| ~ spl0_11 ),
inference(resolution,[],[f958,f288]) ).
fof(f986,plain,
( pigeon_3 = pigeon_4
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f984,f7]) ).
fof(f987,plain,
( $false
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f986,f17]) ).
fof(f988,plain,
( ~ spl0_7
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f987]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f99]) ).
cnf(s2,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f115]) ).
cnf(s3,plain,
( spl0_9
| spl0_10
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f131]) ).
cnf(s5,plain,
( spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f163]) ).
cnf(s12,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(sat_conversion,[],[f240]) ).
cnf(s13,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(sat_conversion,[],[f242]) ).
cnf(s14,plain,
( ~ spl0_2
| ~ spl0_14 ),
inference(sat_conversion,[],[f244]) ).
cnf(s16,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(sat_conversion,[],[f270]) ).
cnf(s17,plain,
( ~ spl0_6
| ~ spl0_14 ),
inference(sat_conversion,[],[f272]) ).
cnf(s18,plain,
( ~ spl0_6
| ~ spl0_18 ),
inference(sat_conversion,[],[f274]) ).
cnf(s22,plain,
( ~ spl0_11
| ~ spl0_15 ),
inference(sat_conversion,[],[f320]) ).
cnf(s23,plain,
( ~ spl0_11
| ~ spl0_19 ),
inference(sat_conversion,[],[f322]) ).
cnf(s24,plain,
( ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f351]) ).
cnf(s26,plain,
( ~ spl0_3
| ~ spl0_11 ),
inference(sat_conversion,[],[f368]) ).
cnf(s33,plain,
( ~ spl0_8
| ~ spl0_20 ),
inference(sat_conversion,[],[f426]) ).
cnf(s35,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(sat_conversion,[],[f443]) ).
cnf(s38,plain,
( ~ spl0_4
| ~ spl0_20 ),
inference(sat_conversion,[],[f468]) ).
cnf(s41,plain,
( ~ spl0_14
| ~ spl0_18 ),
inference(sat_conversion,[],[f487]) ).
cnf(s45,plain,
( ~ spl0_3
| ~ spl0_19 ),
inference(sat_conversion,[],[f521]) ).
cnf(s50,plain,
( ~ spl0_3
| ~ spl0_15 ),
inference(sat_conversion,[],[f535]) ).
cnf(s51,plain,
( ~ spl0_9
| spl0_14
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f537]) ).
cnf(s52,plain,
( ~ spl0_8
| ~ spl0_16 ),
inference(sat_conversion,[],[f561]) ).
cnf(s55,plain,
( ~ spl0_2
| ~ spl0_18 ),
inference(sat_conversion,[],[f589]) ).
cnf(s58,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(sat_conversion,[],[f598]) ).
cnf(s59,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(sat_conversion,[],[f622]) ).
cnf(s61,plain,
( ~ spl0_15
| ~ spl0_19 ),
inference(sat_conversion,[],[f640]) ).
cnf(s64,plain,
( ~ spl0_7
| ~ spl0_19 ),
inference(sat_conversion,[],[f678]) ).
cnf(s65,plain,
( spl0_2
| spl0_3
| spl0_4
| ~ spl0_9 ),
inference(sat_conversion,[],[f682]) ).
cnf(s68,plain,
( ~ spl0_4
| ~ spl0_16 ),
inference(sat_conversion,[],[f709]) ).
cnf(s70,plain,
( spl0_2
| spl0_3
| spl0_4
| ~ spl0_17 ),
inference(sat_conversion,[],[f715]) ).
cnf(s73,plain,
( ~ spl0_12
| ~ spl0_16 ),
inference(sat_conversion,[],[f742]) ).
cnf(s76,plain,
( ~ spl0_10
| ~ spl0_18 ),
inference(sat_conversion,[],[f779]) ).
cnf(s79,plain,
( spl0_6
| spl0_7
| spl0_8
| ~ spl0_17 ),
inference(sat_conversion,[],[f786]) ).
cnf(s80,plain,
( ~ spl0_10
| ~ spl0_14 ),
inference(sat_conversion,[],[f792]) ).
cnf(s86,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(sat_conversion,[],[f836]) ).
cnf(s89,plain,
( ~ spl0_12
| ~ spl0_20 ),
inference(sat_conversion,[],[f858]) ).
cnf(s90,plain,
( ~ spl0_1
| spl0_14
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f859]) ).
cnf(s94,plain,
( ~ spl0_5
| spl0_14
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f871]) ).
cnf(s96,plain,
( ~ spl0_5
| spl0_10
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f877]) ).
cnf(s98,plain,
( spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f879]) ).
cnf(s101,plain,
( ~ spl0_5
| spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f886]) ).
cnf(s102,plain,
( ~ spl0_4
| ~ spl0_12 ),
inference(sat_conversion,[],[f936]) ).
cnf(s106,plain,
( spl0_14
| spl0_15
| spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f945]) ).
cnf(s109,plain,
( spl0_10
| spl0_11
| spl0_12
| ~ spl0_17 ),
inference(sat_conversion,[],[f949]) ).
cnf(s111,plain,
( ~ spl0_7
| ~ spl0_11 ),
inference(sat_conversion,[],[f988]) ).
cnf(s112,plain,
( ~ spl0_10
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s5,s106,s76,s80,s68,s38,s64,s59]) ).
cnf(s113,plain,
( ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s41,s51,s5,s3,s109,s112,s59,s64,s111,s102,s68,s38]) ).
cnf(s114,plain,
( ~ spl0_11
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s106,s5,s22,s23,s68,s38,s18,s17]) ).
cnf(s115,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s61,s51,s5,s3,s109,s114,s16,s17,s18,s102,s68,s38]) ).
cnf(s116,plain,
( ~ spl0_10
| ~ spl0_4 ),
inference(rat,[],[s61,s101,s94,s76,s80,s68,s38,s2,s115,s113,s58]) ).
cnf(s117,plain,
~ spl0_4,
inference(rat,[],[s41,s94,s5,s22,s23,s96,s116,s79,s2,s115,s113,s38,s58,s68,s102]) ).
cnf(s118,plain,
( ~ spl0_10
| spl0_5
| ~ spl0_3 ),
inference(rat,[],[s5,s106,s33,s52,s2,s16,s76,s80,s50,s45,s35]) ).
cnf(s119,plain,
( spl0_16
| spl0_14
| spl0_5
| ~ spl0_3 ),
inference(rat,[],[s18,s2,s5,s86,s89,s3,s51,s106,s50,s45,s35,s26,s118]) ).
cnf(s120,plain,
( ~ spl0_16
| spl0_5
| ~ spl0_3 ),
inference(rat,[],[s18,s5,s2,s109,s24,s52,s73,s45,s35,s26,s118]) ).
cnf(s121,plain,
( spl0_5
| ~ spl0_3 ),
inference(rat,[],[s5,s109,s33,s86,s2,s17,s41,s119,s120,s118,s45,s35,s26]) ).
cnf(s122,plain,
( ~ spl0_10
| ~ spl0_3 ),
inference(rat,[],[s24,s101,s94,s76,s80,s50,s45,s121]) ).
cnf(s123,plain,
~ spl0_3,
inference(rat,[],[s41,s94,s101,s73,s89,s96,s122,s121,s26,s45,s50]) ).
cnf(s124,plain,
( ~ spl0_17
| spl0_16
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s86,s109,s2,s22,s59,s106,s14,s13,s12]) ).
cnf(s125,plain,
( ~ spl0_20
| spl0_16
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s51,s3,s59,s111,s2,s33,s89,s14,s13,s12]) ).
cnf(s126,plain,
( spl0_16
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s3,s86,s51,s2,s23,s61,s64,s5,s125,s124,s55,s14,s13,s12]) ).
cnf(s127,plain,
( spl0_5
| ~ spl0_2 ),
inference(rat,[],[s5,s109,s64,s111,s2,s24,s52,s73,s126,s55,s13,s12]) ).
cnf(s128,plain,
( ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s89,s96,s101,s22,s61,s55,s13,s127]) ).
cnf(s129,plain,
~ spl0_2,
inference(rat,[],[s23,s101,s96,s24,s73,s94,s128,s127,s13,s14,s55]) ).
cnf(s130,plain,
~ spl0_17,
inference(rat,[],[s70,s117,s129,s123]) ).
cnf(s131,plain,
~ spl0_5,
inference(rat,[],[s98,s117,s129,s123]) ).
cnf(s132,plain,
~ spl0_9,
inference(rat,[],[s65,s117,s129,s123]) ).
cnf(s133,plain,
spl0_1,
inference(rat,[],[s1,s117,s123,s129]) ).
cnf(s134,plain,
( ~ spl0_15
| ~ spl0_10 ),
inference(rat,[],[s33,s2,s5,s59,s61,s76,s16,s131,s130]) ).
cnf(s135,plain,
~ spl0_10,
inference(rat,[],[s64,s5,s2,s24,s52,s90,s134,s16,s76,s80,s130,s131,s133]) ).
cnf(s136,plain,
( ~ spl0_20
| spl0_16 ),
inference(rat,[],[s17,s90,s2,s22,s111,s3,s33,s89,s133,s131,s132,s135]) ).
cnf(s137,plain,
( ~ spl0_19
| spl0_16 ),
inference(rat,[],[s2,s86,s17,s3,s90,s23,s61,s64,s131,s132,s135,s133]) ).
cnf(s138,plain,
spl0_16,
inference(rat,[],[s86,s3,s2,s22,s59,s90,s18,s41,s5,s137,s136,s132,s135,s131,s133,s130]) ).
cnf(s139,plain,
~ spl0_12,
inference(rat,[],[s73,s138]) ).
cnf(s140,plain,
~ spl0_8,
inference(rat,[],[s52,s138]) ).
cnf(s141,plain,
~ spl0_20,
inference(rat,[],[s24,s138]) ).
cnf(s142,plain,
spl0_11,
inference(rat,[],[s3,s135,s132,s139]) ).
cnf(s143,plain,
~ spl0_7,
inference(rat,[],[s111,s142]) ).
cnf(s144,plain,
~ spl0_19,
inference(rat,[],[s23,s142]) ).
cnf(s146,plain,
spl0_6,
inference(rat,[],[s2,s140,s131,s143]) ).
cnf(s147,plain,
spl0_18,
inference(rat,[],[s5,s141,s130,s144]) ).
cnf(s149,plain,
$false,
inference(rat,[],[s18,s147,s146]) ).
fof(f989,plain,
$false,
inference(avatar_sat_refutation,[],[s149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC007-2.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 17:38:25 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.71/1.22 % (1683754)Input is clausal, will run a generic CNF schedule.
% 2.71/1.22 % (1683761)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=563845234:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.71/1.22 % (1683759)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2175582411:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.71/1.22 % (1683763)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2872017299:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.71/1.22 % (1683760)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4208636022:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.71/1.22 % (1683762)lrs+10_1_sil=8000:sp=occurrence:random_seed=763886495:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.71/1.22 % (1683765)dis-21_1_sil=8000:lcm=predicate:random_seed=388009254:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.71/1.22 % (1683764)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4113254312:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.71/1.22 % (1683765)Refutation not found, incomplete strategy
% 2.71/1.22 % (1683765)------------------------------
% 2.71/1.22 % (1683765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.22 % (1683765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.22 % (1683765)CaDiCaL version: 2.1.3
% 2.71/1.22 % (1683765)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.22 % (1683765)Time elapsed: 0.003 s
% 2.71/1.22 % (1683765)Peak memory usage: 88 MB
% 2.71/1.22 % (1683765)Instructions burned: 3 (million)
% 2.71/1.22 % (1683764)First to succeed.
% 2.71/1.22 % (1683762)Also succeeded, but the first one will report.
% 2.71/1.22 % (1683764)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1683754"
% 2.71/1.22 % (1683763)Instruction limit reached!
% 2.71/1.22 % (1683763)------------------------------
% 2.71/1.22 % (1683763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.22 % (1683763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.22 % (1683763)CaDiCaL version: 2.1.3
% 2.71/1.22 % (1683763)Termination reason: Instruction limit
% 2.71/1.22 % (1683763)Termination phase: Saturation
% 2.71/1.22 % (1683763)Time elapsed: 0.049 s
% 2.71/1.22 % (1683763)Peak memory usage: 87 MB
% 2.71/1.22 % (1683763)Instructions burned: 116 (million)
% 2.71/1.22 % (1683764)Refutation found. Thanks to Tanya!
% 2.71/1.22 % SZS status Unsatisfiable for theBenchmark
% 2.71/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.41 % (1683764)------------------------------
% 0.16/1.41 % (1683764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.41 % (1683764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.41 % (1683764)CaDiCaL version: 2.1.3
% 0.16/1.41 % (1683764)Termination reason: Refutation
% 0.16/1.41 % (1683764)Time elapsed: 0.015 s
% 0.16/1.41 % (1683764)Peak memory usage: 89 MB
% 0.16/1.41 % (1683764)Instructions burned: 42 (million)
% 0.16/1.41 % (1683764)------------------------------
% 0.16/1.41 % (1683764)------------------------------
% 0.16/1.41 % (1683754)Success in time 0.359 s
% 0.16/1.41 % Vampire exiting
%------------------------------------------------------------------------------