%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRA014+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 10:08:27 AM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 39
% Syntax : Number of formulae : 335 ( 31 unt; 33 def)
% Number of atoms : 984 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 998 ( 349 ~; 603 |; 9 &)
% ( 33 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 38 ( 37 usr; 35 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 107 ( 0 sgn 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( ( red(X0,X1)
& red(X1,X2)
& red(X0,X2) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',red_clique) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( green(X0,X1)
& green(X1,X2)
& green(X0,X2) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',green_clique) ).
fof(f3,axiom,
( less_than(n1,n2)
& less_than(n2,n3)
& less_than(n3,n4)
& less_than(n4,n5)
& less_than(n5,n6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordering) ).
fof(f4,axiom,
! [X0,X1,X2] :
( ( less_than(X0,X1)
& less_than(X1,X2) )
=> less_than(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_than_transitive) ).
fof(f5,axiom,
! [X0,X1] :
( less_than(X0,X1)
=> ( red(X0,X1)
| green(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partition) ).
fof(f6,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f7,negated_conjecture,
~ goal,
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
~ goal,
inference(flattening,[],[f7]) ).
fof(f9,plain,
! [X0,X1,X2] :
( goal
| ~ red(X0,X1)
| ~ red(X1,X2)
| ~ red(X0,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f10,plain,
! [X0,X1,X2] :
( goal
| ~ red(X0,X1)
| ~ red(X1,X2)
| ~ red(X0,X2) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] :
( goal
| ~ green(X0,X1)
| ~ green(X1,X2)
| ~ green(X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0,X1,X2] :
( goal
| ~ green(X0,X1)
| ~ green(X1,X2)
| ~ green(X0,X2) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0,X1,X2] :
( less_than(X0,X2)
| ~ less_than(X0,X1)
| ~ less_than(X1,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f14,plain,
! [X0,X1,X2] :
( less_than(X0,X2)
| ~ less_than(X0,X1)
| ~ less_than(X1,X2) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( red(X0,X1)
| green(X0,X1)
| ~ less_than(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f16,plain,
! [X0,X1] :
( red(X0,X1)
| green(X0,X1)
| ~ less_than(X0,X1) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X2,X0,X1] :
( goal
| ~ red(X0,X1)
| ~ red(X1,X2)
| ~ red(X0,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f18,plain,
! [X2,X0,X1] :
( goal
| ~ green(X0,X1)
| ~ green(X1,X2)
| ~ green(X0,X2) ),
inference(cnf_transformation,[],[f12]) ).
fof(f19,plain,
less_than(n5,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f20,plain,
less_than(n4,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
less_than(n3,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
less_than(n2,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f23,plain,
less_than(n1,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X2,X0,X1] :
( less_than(X0,X2)
| ~ less_than(X0,X1)
| ~ less_than(X1,X2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f25,plain,
! [X0,X1] :
( red(X0,X1)
| green(X0,X1)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f26,plain,
~ goal,
inference(cnf_transformation,[],[f8]) ).
fof(f27,plain,
! [X2,X0,X1] :
( goal
| red(X0,X1)
| red(X1,X2)
| red(X0,X2) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f28,plain,
! [X2,X0,X1] :
( goal
| green(X0,X1)
| green(X1,X2)
| green(X0,X2) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f29,plain,
! [X0,X1] :
( ~ less_than(X0,X1)
| ~ green(X0,X1)
| ~ red(X0,X1) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f31,definition,
( spl0_1
<=> ! [X2,X0,X1] :
( green(X0,X1)
| green(X0,X2)
| green(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f32,plain,
( ! [X2,X0,X1] :
( green(X1,X2)
| green(X0,X2)
| green(X0,X1) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f34,definition,
( spl0_2
<=> goal ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f36,plain,
( goal
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f37,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f28,f34,f31]) ).
fof(f39,definition,
( spl0_3
<=> ! [X2,X0,X1] :
( red(X0,X1)
| red(X0,X2)
| red(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f40,plain,
( ! [X2,X0,X1] :
( red(X1,X2)
| red(X0,X2)
| red(X0,X1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f41,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f27,f34,f39]) ).
fof(f42,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f36,f26]) ).
fof(f43,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f42]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ less_than(X2,X1)
| ~ less_than(X0,X2)
| ~ red(X0,X1)
| ~ green(X0,X1) ),
inference(resolution,[],[f29,f24]) ).
fof(f45,plain,
( ~ green(n1,n2)
| ~ red(n1,n2) ),
inference(resolution,[],[f29,f23]) ).
fof(f46,plain,
( ~ green(n2,n3)
| ~ red(n2,n3) ),
inference(resolution,[],[f29,f22]) ).
fof(f47,plain,
( ~ green(n3,n4)
| ~ red(n3,n4) ),
inference(resolution,[],[f29,f21]) ).
fof(f48,plain,
( ~ green(n4,n5)
| ~ red(n4,n5) ),
inference(resolution,[],[f29,f20]) ).
fof(f49,plain,
( ~ green(n5,n6)
| ~ red(n5,n6) ),
inference(resolution,[],[f29,f19]) ).
fof(f51,definition,
( spl0_4
<=> red(n5,n6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f53,plain,
( ~ red(n5,n6)
| spl0_4 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f55,definition,
( spl0_5
<=> green(n5,n6) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f57,plain,
( ~ green(n5,n6)
| spl0_5 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f58,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f49,f55,f51]) ).
fof(f60,definition,
( spl0_6
<=> red(n4,n5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f62,plain,
( ~ red(n4,n5)
| spl0_6 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f64,definition,
( spl0_7
<=> green(n4,n5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f66,plain,
( ~ green(n4,n5)
| spl0_7 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f48,f64,f60]) ).
fof(f69,definition,
( spl0_8
<=> red(n3,n4) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f71,plain,
( ~ red(n3,n4)
| spl0_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f73,definition,
( spl0_9
<=> green(n3,n4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f75,plain,
( ~ green(n3,n4)
| spl0_9 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f47,f73,f69]) ).
fof(f78,definition,
( spl0_10
<=> red(n2,n3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f80,plain,
( ~ red(n2,n3)
| spl0_10 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl0_11
<=> green(n2,n3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f84,plain,
( ~ green(n2,n3)
| spl0_11 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,plain,
( ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f46,f82,f78]) ).
fof(f87,definition,
( spl0_12
<=> red(n1,n2) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f91,definition,
( spl0_13
<=> green(n1,n2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f94,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f45,f91,f87]) ).
fof(f95,plain,
( ! [X0] :
( green(X0,n3)
| green(X0,n2) )
| ~ spl0_1
| spl0_11 ),
inference(resolution,[],[f32,f84]) ).
fof(f96,plain,
( ! [X0] :
( green(X0,n4)
| green(X0,n3) )
| ~ spl0_1
| spl0_9 ),
inference(resolution,[],[f32,f75]) ).
fof(f97,plain,
( ! [X0] :
( green(X0,n5)
| green(X0,n4) )
| ~ spl0_1
| spl0_7 ),
inference(resolution,[],[f32,f66]) ).
fof(f98,plain,
( ! [X0] :
( green(X0,n6)
| green(X0,n5) )
| ~ spl0_1
| spl0_5 ),
inference(resolution,[],[f32,f57]) ).
fof(f106,plain,
( ! [X0] :
( red(X0,n3)
| red(X0,n2) )
| ~ spl0_3
| spl0_10 ),
inference(resolution,[],[f40,f80]) ).
fof(f107,plain,
( ! [X0] :
( red(X0,n4)
| red(X0,n3) )
| ~ spl0_3
| spl0_8 ),
inference(resolution,[],[f40,f71]) ).
fof(f108,plain,
( ! [X0] :
( red(X0,n5)
| red(X0,n4) )
| ~ spl0_3
| spl0_6 ),
inference(resolution,[],[f40,f62]) ).
fof(f109,plain,
( ! [X0] :
( red(X0,n6)
| red(X0,n5) )
| ~ spl0_3
| spl0_4 ),
inference(resolution,[],[f40,f53]) ).
fof(f114,plain,
! [X0] :
( ~ less_than(X0,n2)
| ~ red(X0,n3)
| ~ green(X0,n3) ),
inference(resolution,[],[f44,f22]) ).
fof(f115,plain,
! [X0] :
( ~ less_than(X0,n3)
| ~ red(X0,n4)
| ~ green(X0,n4) ),
inference(resolution,[],[f44,f21]) ).
fof(f116,plain,
! [X0] :
( ~ less_than(X0,n4)
| ~ red(X0,n5)
| ~ green(X0,n5) ),
inference(resolution,[],[f44,f20]) ).
fof(f117,plain,
! [X0] :
( ~ less_than(X0,n5)
| ~ red(X0,n6)
| ~ green(X0,n6) ),
inference(resolution,[],[f44,f19]) ).
fof(f125,plain,
( ~ red(n1,n3)
| ~ green(n1,n3) ),
inference(resolution,[],[f114,f23]) ).
fof(f127,definition,
( spl0_14
<=> green(n1,n3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f129,plain,
( ~ green(n1,n3)
| spl0_14 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f131,definition,
( spl0_15
<=> red(n1,n3) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f133,plain,
( ~ red(n1,n3)
| spl0_15 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f125,f131,f127]) ).
fof(f135,plain,
( green(n1,n2)
| ~ spl0_1
| spl0_11
| spl0_14 ),
inference(resolution,[],[f129,f95]) ).
fof(f137,plain,
( spl0_13
| ~ spl0_1
| spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f135,f127,f82,f31,f91]) ).
fof(f138,plain,
( red(n1,n2)
| ~ spl0_3
| spl0_10
| spl0_15 ),
inference(resolution,[],[f133,f106]) ).
fof(f140,plain,
( spl0_12
| ~ spl0_3
| spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f138,f131,f78,f39,f87]) ).
fof(f144,plain,
! [X0,X1] :
( ~ less_than(X1,n3)
| ~ less_than(X0,X1)
| ~ green(X0,n4)
| ~ red(X0,n4) ),
inference(resolution,[],[f115,f24]) ).
fof(f145,plain,
( ~ red(n2,n4)
| ~ green(n2,n4) ),
inference(resolution,[],[f115,f22]) ).
fof(f147,definition,
( spl0_16
<=> green(n2,n4) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f149,plain,
( ~ green(n2,n4)
| spl0_16 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f151,definition,
( spl0_17
<=> red(n2,n4) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f153,plain,
( ~ red(n2,n4)
| spl0_17 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f154,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f145,f151,f147]) ).
fof(f155,plain,
( green(n2,n3)
| ~ spl0_1
| spl0_9
| spl0_16 ),
inference(resolution,[],[f149,f96]) ).
fof(f156,plain,
( ! [X0] :
( green(X0,n4)
| green(X0,n2) )
| ~ spl0_1
| spl0_16 ),
inference(resolution,[],[f149,f32]) ).
fof(f157,plain,
( red(n2,n3)
| ~ spl0_3
| spl0_8
| spl0_17 ),
inference(resolution,[],[f153,f107]) ).
fof(f158,plain,
( ! [X0] :
( red(X0,n4)
| red(X0,n2) )
| ~ spl0_3
| spl0_17 ),
inference(resolution,[],[f153,f40]) ).
fof(f159,plain,
( spl0_10
| ~ spl0_3
| spl0_8
| spl0_17 ),
inference(avatar_split_clause,[],[f157,f151,f69,f39,f78]) ).
fof(f160,plain,
( spl0_11
| ~ spl0_1
| spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f155,f147,f73,f31,f82]) ).
fof(f169,plain,
! [X0,X1] :
( ~ less_than(X1,n4)
| ~ less_than(X0,X1)
| ~ green(X0,n5)
| ~ red(X0,n5) ),
inference(resolution,[],[f116,f24]) ).
fof(f170,plain,
( ~ red(n3,n5)
| ~ green(n3,n5) ),
inference(resolution,[],[f116,f21]) ).
fof(f172,definition,
( spl0_18
<=> green(n3,n5) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f174,plain,
( ~ green(n3,n5)
| spl0_18 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f176,definition,
( spl0_19
<=> red(n3,n5) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f178,plain,
( ~ red(n3,n5)
| spl0_19 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f179,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f170,f176,f172]) ).
fof(f180,plain,
! [X0,X1] :
( ~ less_than(X1,n5)
| ~ less_than(X0,X1)
| ~ green(X0,n6)
| ~ red(X0,n6) ),
inference(resolution,[],[f117,f24]) ).
fof(f181,plain,
( ~ red(n4,n6)
| ~ green(n4,n6) ),
inference(resolution,[],[f117,f20]) ).
fof(f183,definition,
( spl0_20
<=> green(n4,n6) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f185,plain,
( ~ green(n4,n6)
| spl0_20 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f187,definition,
( spl0_21
<=> red(n4,n6) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f189,plain,
( ~ red(n4,n6)
| spl0_21 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f190,plain,
( ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f181,f187,f183]) ).
fof(f191,plain,
( green(n3,n4)
| ~ spl0_1
| spl0_7
| spl0_18 ),
inference(resolution,[],[f174,f97]) ).
fof(f192,plain,
( ! [X0] :
( green(X0,n5)
| green(X0,n3) )
| ~ spl0_1
| spl0_18 ),
inference(resolution,[],[f174,f32]) ).
fof(f193,plain,
( spl0_9
| ~ spl0_1
| spl0_7
| spl0_18 ),
inference(avatar_split_clause,[],[f191,f172,f64,f31,f73]) ).
fof(f194,plain,
( red(n3,n4)
| ~ spl0_3
| spl0_6
| spl0_19 ),
inference(resolution,[],[f178,f108]) ).
fof(f195,plain,
( ! [X0] :
( red(X0,n5)
| red(X0,n3) )
| ~ spl0_3
| spl0_19 ),
inference(resolution,[],[f178,f40]) ).
fof(f196,plain,
( spl0_8
| ~ spl0_3
| spl0_6
| spl0_19 ),
inference(avatar_split_clause,[],[f194,f176,f60,f39,f69]) ).
fof(f197,plain,
( green(n4,n5)
| ~ spl0_1
| spl0_5
| spl0_20 ),
inference(resolution,[],[f185,f98]) ).
fof(f198,plain,
( ! [X0] :
( green(X0,n6)
| green(X0,n4) )
| ~ spl0_1
| spl0_20 ),
inference(resolution,[],[f185,f32]) ).
fof(f199,plain,
( red(n4,n5)
| ~ spl0_3
| spl0_4
| spl0_21 ),
inference(resolution,[],[f189,f109]) ).
fof(f200,plain,
( ! [X0] :
( red(X0,n6)
| red(X0,n4) )
| ~ spl0_3
| spl0_21 ),
inference(resolution,[],[f189,f40]) ).
fof(f201,plain,
( spl0_6
| ~ spl0_3
| spl0_4
| spl0_21 ),
inference(avatar_split_clause,[],[f199,f187,f51,f39,f60]) ).
fof(f202,plain,
( spl0_7
| ~ spl0_1
| spl0_5
| spl0_20 ),
inference(avatar_split_clause,[],[f197,f183,f55,f31,f64]) ).
fof(f234,plain,
! [X0] :
( ~ less_than(X0,n2)
| ~ green(X0,n4)
| ~ red(X0,n4) ),
inference(resolution,[],[f144,f22]) ).
fof(f238,plain,
( ~ green(n1,n4)
| ~ red(n1,n4) ),
inference(resolution,[],[f234,f23]) ).
fof(f240,definition,
( spl0_22
<=> red(n1,n4) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f242,plain,
( ~ red(n1,n4)
| spl0_22 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f244,definition,
( spl0_23
<=> green(n1,n4) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f246,plain,
( ~ green(n1,n4)
| spl0_23 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f247,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f238,f244,f240]) ).
fof(f248,plain,
( red(n1,n2)
| ~ spl0_3
| spl0_17
| spl0_22 ),
inference(resolution,[],[f242,f158]) ).
fof(f250,plain,
( spl0_12
| ~ spl0_3
| spl0_17
| spl0_22 ),
inference(avatar_split_clause,[],[f248,f240,f151,f39,f87]) ).
fof(f254,plain,
( green(n1,n3)
| ~ spl0_1
| spl0_9
| spl0_23 ),
inference(resolution,[],[f246,f96]) ).
fof(f256,plain,
( spl0_14
| ~ spl0_1
| spl0_9
| spl0_23 ),
inference(avatar_split_clause,[],[f254,f244,f73,f31,f127]) ).
fof(f266,plain,
( red(n1,n3)
| ~ spl0_3
| spl0_8
| spl0_22 ),
inference(resolution,[],[f107,f242]) ).
fof(f269,plain,
( spl0_15
| ~ spl0_3
| spl0_8
| spl0_22 ),
inference(avatar_split_clause,[],[f266,f240,f69,f39,f131]) ).
fof(f272,plain,
! [X0] :
( ~ less_than(X0,n3)
| ~ green(X0,n5)
| ~ red(X0,n5) ),
inference(resolution,[],[f169,f21]) ).
fof(f275,plain,
! [X0,X1] :
( ~ less_than(X1,n3)
| ~ less_than(X0,X1)
| ~ red(X0,n5)
| ~ green(X0,n5) ),
inference(resolution,[],[f272,f24]) ).
fof(f276,plain,
( ~ green(n2,n5)
| ~ red(n2,n5) ),
inference(resolution,[],[f272,f22]) ).
fof(f278,definition,
( spl0_24
<=> red(n2,n5) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f280,plain,
( ~ red(n2,n5)
| spl0_24 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f282,definition,
( spl0_25
<=> green(n2,n5) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f284,plain,
( ~ green(n2,n5)
| spl0_25 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f285,plain,
( ~ spl0_24
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f276,f282,f278]) ).
fof(f286,plain,
( red(n2,n3)
| ~ spl0_3
| spl0_19
| spl0_24 ),
inference(resolution,[],[f280,f195]) ).
fof(f287,plain,
( ! [X0] :
( red(X0,n5)
| red(X0,n2) )
| ~ spl0_3
| spl0_24 ),
inference(resolution,[],[f280,f40]) ).
fof(f288,plain,
( green(n2,n4)
| ~ spl0_1
| spl0_7
| spl0_25 ),
inference(resolution,[],[f284,f97]) ).
fof(f289,plain,
( green(n2,n3)
| ~ spl0_1
| spl0_18
| spl0_25 ),
inference(resolution,[],[f284,f192]) ).
fof(f291,plain,
( spl0_11
| ~ spl0_1
| spl0_18
| spl0_25 ),
inference(avatar_split_clause,[],[f289,f282,f172,f31,f82]) ).
fof(f295,plain,
! [X0] :
( ~ less_than(X0,n4)
| ~ green(X0,n6)
| ~ red(X0,n6) ),
inference(resolution,[],[f180,f20]) ).
fof(f298,plain,
! [X0,X1] :
( ~ less_than(X1,n4)
| ~ less_than(X0,X1)
| ~ red(X0,n6)
| ~ green(X0,n6) ),
inference(resolution,[],[f295,f24]) ).
fof(f299,plain,
( ~ green(n3,n6)
| ~ red(n3,n6) ),
inference(resolution,[],[f295,f21]) ).
fof(f301,definition,
( spl0_26
<=> red(n3,n6) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f303,plain,
( ~ red(n3,n6)
| spl0_26 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f305,definition,
( spl0_27
<=> green(n3,n6) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f307,plain,
( ~ green(n3,n6)
| spl0_27 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f308,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f299,f305,f301]) ).
fof(f309,plain,
( red(n3,n4)
| ~ spl0_3
| spl0_21
| spl0_26 ),
inference(resolution,[],[f303,f200]) ).
fof(f310,plain,
( ! [X0] :
( red(X0,n6)
| red(X0,n3) )
| ~ spl0_3
| spl0_26 ),
inference(resolution,[],[f303,f40]) ).
fof(f311,plain,
( spl0_8
| ~ spl0_3
| spl0_21
| spl0_26 ),
inference(avatar_split_clause,[],[f309,f301,f187,f39,f69]) ).
fof(f312,plain,
( green(n3,n5)
| ~ spl0_1
| spl0_5
| spl0_27 ),
inference(resolution,[],[f307,f98]) ).
fof(f313,plain,
( ! [X0] :
( green(X0,n6)
| green(X0,n3) )
| ~ spl0_1
| spl0_27 ),
inference(resolution,[],[f307,f32]) ).
fof(f314,plain,
( spl0_18
| ~ spl0_1
| spl0_5
| spl0_27 ),
inference(avatar_split_clause,[],[f312,f305,f55,f31,f172]) ).
fof(f326,plain,
! [X0] :
( ~ less_than(X0,n2)
| ~ red(X0,n5)
| ~ green(X0,n5) ),
inference(resolution,[],[f275,f22]) ).
fof(f330,plain,
( ~ red(n1,n5)
| ~ green(n1,n5) ),
inference(resolution,[],[f326,f23]) ).
fof(f332,definition,
( spl0_28
<=> green(n1,n5) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f334,plain,
( ~ green(n1,n5)
| spl0_28 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f336,definition,
( spl0_29
<=> red(n1,n5) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f338,plain,
( ~ red(n1,n5)
| spl0_29 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f339,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f330,f336,f332]) ).
fof(f340,plain,
( green(n1,n4)
| ~ spl0_1
| spl0_7
| spl0_28 ),
inference(resolution,[],[f334,f97]) ).
fof(f342,plain,
( spl0_23
| ~ spl0_1
| spl0_7
| spl0_28 ),
inference(avatar_split_clause,[],[f340,f332,f64,f31,f244]) ).
fof(f343,plain,
( red(n1,n2)
| ~ spl0_3
| spl0_24
| spl0_29 ),
inference(resolution,[],[f338,f287]) ).
fof(f344,plain,
( red(n1,n3)
| ~ spl0_3
| spl0_19
| spl0_29 ),
inference(resolution,[],[f338,f195]) ).
fof(f346,plain,
( spl0_15
| ~ spl0_3
| spl0_19
| spl0_29 ),
inference(avatar_split_clause,[],[f344,f336,f176,f39,f131]) ).
fof(f358,plain,
! [X0] :
( ~ less_than(X0,n3)
| ~ red(X0,n6)
| ~ green(X0,n6) ),
inference(resolution,[],[f298,f21]) ).
fof(f361,plain,
! [X0,X1] :
( ~ less_than(X1,n3)
| ~ less_than(X0,X1)
| ~ green(X0,n6)
| ~ red(X0,n6) ),
inference(resolution,[],[f358,f24]) ).
fof(f362,plain,
( ~ red(n2,n6)
| ~ green(n2,n6) ),
inference(resolution,[],[f358,f22]) ).
fof(f364,definition,
( spl0_30
<=> green(n2,n6) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f366,plain,
( ~ green(n2,n6)
| spl0_30 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f368,definition,
( spl0_31
<=> red(n2,n6) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f370,plain,
( ~ red(n2,n6)
| spl0_31 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f371,plain,
( ~ spl0_30
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f362,f368,f364]) ).
fof(f372,plain,
( green(n2,n3)
| ~ spl0_1
| spl0_27
| spl0_30 ),
inference(resolution,[],[f366,f313]) ).
fof(f373,plain,
( ! [X0] :
( green(X0,n6)
| green(X0,n2) )
| ~ spl0_1
| spl0_30 ),
inference(resolution,[],[f366,f32]) ).
fof(f374,plain,
( spl0_11
| ~ spl0_1
| spl0_27
| spl0_30 ),
inference(avatar_split_clause,[],[f372,f364,f305,f31,f82]) ).
fof(f375,plain,
( red(n2,n5)
| ~ spl0_3
| spl0_4
| spl0_31 ),
inference(resolution,[],[f370,f109]) ).
fof(f376,plain,
( red(n2,n4)
| ~ spl0_3
| spl0_21
| spl0_31 ),
inference(resolution,[],[f370,f200]) ).
fof(f378,plain,
( spl0_17
| ~ spl0_3
| spl0_21
| spl0_31 ),
inference(avatar_split_clause,[],[f376,f368,f187,f39,f151]) ).
fof(f379,plain,
( spl0_24
| ~ spl0_3
| spl0_4
| spl0_31 ),
inference(avatar_split_clause,[],[f375,f368,f51,f39,f278]) ).
fof(f381,plain,
( red(n3,n5)
| ~ spl0_3
| spl0_4
| spl0_26 ),
inference(resolution,[],[f303,f109]) ).
fof(f399,plain,
( green(n2,n4)
| ~ spl0_1
| spl0_20
| spl0_30 ),
inference(resolution,[],[f198,f366]) ).
fof(f414,plain,
! [X0] :
( ~ less_than(X0,n2)
| ~ green(X0,n6)
| ~ red(X0,n6) ),
inference(resolution,[],[f361,f22]) ).
fof(f418,plain,
( ~ green(n1,n6)
| ~ red(n1,n6) ),
inference(resolution,[],[f414,f23]) ).
fof(f420,definition,
( spl0_32
<=> red(n1,n6) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f422,plain,
( ~ red(n1,n6)
| spl0_32 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f424,definition,
( spl0_33
<=> green(n1,n6) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f426,plain,
( ~ green(n1,n6)
| spl0_33 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f427,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f418,f424,f420]) ).
fof(f428,plain,
( red(n1,n3)
| ~ spl0_3
| spl0_26
| spl0_32 ),
inference(resolution,[],[f422,f310]) ).
fof(f429,plain,
( red(n1,n5)
| ~ spl0_3
| spl0_4
| spl0_32 ),
inference(resolution,[],[f422,f109]) ).
fof(f431,plain,
( spl0_29
| ~ spl0_3
| spl0_4
| spl0_32 ),
inference(avatar_split_clause,[],[f429,f420,f51,f39,f336]) ).
fof(f432,plain,
( spl0_15
| ~ spl0_3
| spl0_26
| spl0_32 ),
inference(avatar_split_clause,[],[f428,f420,f301,f39,f131]) ).
fof(f433,plain,
( green(n1,n2)
| ~ spl0_1
| spl0_30
| spl0_33 ),
inference(resolution,[],[f426,f373]) ).
fof(f434,plain,
( green(n1,n4)
| ~ spl0_1
| spl0_20
| spl0_33 ),
inference(resolution,[],[f426,f198]) ).
fof(f436,plain,
( spl0_23
| ~ spl0_1
| spl0_20
| spl0_33 ),
inference(avatar_split_clause,[],[f434,f424,f183,f31,f244]) ).
fof(f437,plain,
( spl0_13
| ~ spl0_1
| spl0_30
| spl0_33 ),
inference(avatar_split_clause,[],[f433,f424,f364,f31,f91]) ).
fof(f438,plain,
( spl0_19
| ~ spl0_3
| spl0_4
| spl0_26 ),
inference(avatar_split_clause,[],[f381,f301,f51,f39,f176]) ).
fof(f439,plain,
( spl0_16
| ~ spl0_1
| spl0_20
| spl0_30 ),
inference(avatar_split_clause,[],[f399,f364,f183,f31,f147]) ).
fof(f440,plain,
( spl0_16
| ~ spl0_1
| spl0_7
| spl0_25 ),
inference(avatar_split_clause,[],[f288,f282,f64,f31,f147]) ).
fof(f452,plain,
( red(n2,n3)
| ~ spl0_3
| spl0_26
| spl0_31 ),
inference(resolution,[],[f370,f310]) ).
fof(f455,plain,
( spl0_10
| ~ spl0_3
| spl0_26
| spl0_31 ),
inference(avatar_split_clause,[],[f452,f368,f301,f39,f78]) ).
fof(f471,plain,
( green(n1,n3)
| ~ spl0_1
| spl0_18
| spl0_28 ),
inference(resolution,[],[f192,f334]) ).
fof(f474,plain,
( spl0_14
| ~ spl0_1
| spl0_18
| spl0_28 ),
inference(avatar_split_clause,[],[f471,f332,f172,f31,f127]) ).
fof(f475,plain,
( green(n3,n4)
| ~ spl0_1
| spl0_20
| spl0_27 ),
inference(resolution,[],[f307,f198]) ).
fof(f477,plain,
( spl0_9
| ~ spl0_1
| spl0_20
| spl0_27 ),
inference(avatar_split_clause,[],[f475,f305,f183,f31,f73]) ).
fof(f482,plain,
( red(n1,n4)
| ~ spl0_3
| spl0_6
| spl0_29 ),
inference(resolution,[],[f338,f108]) ).
fof(f484,plain,
( spl0_22
| ~ spl0_3
| spl0_6
| spl0_29 ),
inference(avatar_split_clause,[],[f482,f336,f60,f39,f240]) ).
fof(f496,plain,
( green(n1,n2)
| ~ spl0_1
| spl0_16
| spl0_23 ),
inference(resolution,[],[f156,f246]) ).
fof(f498,plain,
( spl0_13
| ~ spl0_1
| spl0_16
| spl0_23 ),
inference(avatar_split_clause,[],[f496,f244,f147,f31,f91]) ).
fof(f499,plain,
( spl0_12
| ~ spl0_3
| spl0_24
| spl0_29 ),
inference(avatar_split_clause,[],[f343,f336,f278,f39,f87]) ).
fof(f517,plain,
( green(n1,n5)
| ~ spl0_1
| spl0_5
| spl0_33 ),
inference(resolution,[],[f98,f426]) ).
fof(f518,plain,
( green(n2,n5)
| ~ spl0_1
| spl0_5
| spl0_30 ),
inference(resolution,[],[f98,f366]) ).
fof(f520,plain,
( spl0_28
| ~ spl0_1
| spl0_5
| spl0_33 ),
inference(avatar_split_clause,[],[f517,f424,f55,f31,f332]) ).
fof(f521,plain,
( spl0_10
| ~ spl0_3
| spl0_19
| spl0_24 ),
inference(avatar_split_clause,[],[f286,f278,f176,f39,f78]) ).
fof(f522,plain,
( spl0_25
| ~ spl0_1
| spl0_5
| spl0_30 ),
inference(avatar_split_clause,[],[f518,f364,f55,f31,f282]) ).
fof(f548,plain,
( red(n1,n4)
| ~ spl0_3
| spl0_21
| spl0_32 ),
inference(resolution,[],[f200,f422]) ).
fof(f551,plain,
( spl0_22
| ~ spl0_3
| spl0_21
| spl0_32 ),
inference(avatar_split_clause,[],[f548,f420,f187,f39,f240]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f37]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f41]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f43]) ).
cnf(s4,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f58]) ).
cnf(s5,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f67]) ).
cnf(s6,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f76]) ).
cnf(s7,plain,
( ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f85]) ).
cnf(s8,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f94]) ).
cnf(s9,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f134]) ).
cnf(s10,plain,
( ~ spl0_1
| spl0_11
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s11,plain,
( ~ spl0_3
| spl0_10
| spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f140]) ).
cnf(s12,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f154]) ).
cnf(s13,plain,
( ~ spl0_3
| spl0_8
| spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f159]) ).
cnf(s15,plain,
( ~ spl0_1
| spl0_9
| spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f160]) ).
cnf(s16,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f179]) ).
cnf(s17,plain,
( ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f190]) ).
cnf(s18,plain,
( ~ spl0_1
| spl0_7
| spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f193]) ).
cnf(s19,plain,
( ~ spl0_3
| spl0_6
| spl0_8
| spl0_19 ),
inference(sat_conversion,[],[f196]) ).
cnf(s20,plain,
( ~ spl0_3
| spl0_4
| spl0_6
| spl0_21 ),
inference(sat_conversion,[],[f201]) ).
cnf(s22,plain,
( ~ spl0_1
| spl0_5
| spl0_7
| spl0_20 ),
inference(sat_conversion,[],[f202]) ).
cnf(s24,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f247]) ).
cnf(s25,plain,
( ~ spl0_3
| spl0_12
| spl0_17
| spl0_22 ),
inference(sat_conversion,[],[f250]) ).
cnf(s27,plain,
( ~ spl0_1
| spl0_9
| spl0_14
| spl0_23 ),
inference(sat_conversion,[],[f256]) ).
cnf(s30,plain,
( ~ spl0_3
| spl0_8
| spl0_15
| spl0_22 ),
inference(sat_conversion,[],[f269]) ).
cnf(s31,plain,
( ~ spl0_24
| ~ spl0_25 ),
inference(sat_conversion,[],[f285]) ).
cnf(s32,plain,
( ~ spl0_1
| spl0_11
| spl0_18
| spl0_25 ),
inference(sat_conversion,[],[f291]) ).
cnf(s33,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f308]) ).
cnf(s34,plain,
( ~ spl0_3
| spl0_8
| spl0_21
| spl0_26 ),
inference(sat_conversion,[],[f311]) ).
cnf(s35,plain,
( ~ spl0_1
| spl0_5
| spl0_18
| spl0_27 ),
inference(sat_conversion,[],[f314]) ).
cnf(s36,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f339]) ).
cnf(s37,plain,
( ~ spl0_1
| spl0_7
| spl0_23
| spl0_28 ),
inference(sat_conversion,[],[f342]) ).
cnf(s38,plain,
( ~ spl0_3
| spl0_15
| spl0_19
| spl0_29 ),
inference(sat_conversion,[],[f346]) ).
cnf(s39,plain,
( ~ spl0_30
| ~ spl0_31 ),
inference(sat_conversion,[],[f371]) ).
cnf(s40,plain,
( ~ spl0_1
| spl0_11
| spl0_27
| spl0_30 ),
inference(sat_conversion,[],[f374]) ).
cnf(s41,plain,
( ~ spl0_3
| spl0_17
| spl0_21
| spl0_31 ),
inference(sat_conversion,[],[f378]) ).
cnf(s42,plain,
( ~ spl0_3
| spl0_4
| spl0_24
| spl0_31 ),
inference(sat_conversion,[],[f379]) ).
cnf(s43,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(sat_conversion,[],[f427]) ).
cnf(s44,plain,
( ~ spl0_3
| spl0_4
| spl0_29
| spl0_32 ),
inference(sat_conversion,[],[f431]) ).
cnf(s45,plain,
( ~ spl0_3
| spl0_15
| spl0_26
| spl0_32 ),
inference(sat_conversion,[],[f432]) ).
cnf(s46,plain,
( ~ spl0_1
| spl0_20
| spl0_23
| spl0_33 ),
inference(sat_conversion,[],[f436]) ).
cnf(s47,plain,
( ~ spl0_1
| spl0_13
| spl0_30
| spl0_33 ),
inference(sat_conversion,[],[f437]) ).
cnf(s48,plain,
( ~ spl0_3
| spl0_4
| spl0_19
| spl0_26 ),
inference(sat_conversion,[],[f438]) ).
cnf(s49,plain,
( ~ spl0_1
| spl0_16
| spl0_20
| spl0_30 ),
inference(sat_conversion,[],[f439]) ).
cnf(s50,plain,
( ~ spl0_1
| spl0_7
| spl0_16
| spl0_25 ),
inference(sat_conversion,[],[f440]) ).
cnf(s51,plain,
( ~ spl0_3
| spl0_10
| spl0_26
| spl0_31 ),
inference(sat_conversion,[],[f455]) ).
cnf(s52,plain,
( ~ spl0_1
| spl0_14
| spl0_18
| spl0_28 ),
inference(sat_conversion,[],[f474]) ).
cnf(s53,plain,
( ~ spl0_1
| spl0_9
| spl0_20
| spl0_27 ),
inference(sat_conversion,[],[f477]) ).
cnf(s54,plain,
( ~ spl0_3
| spl0_6
| spl0_22
| spl0_29 ),
inference(sat_conversion,[],[f484]) ).
cnf(s55,plain,
( ~ spl0_1
| spl0_13
| spl0_16
| spl0_23 ),
inference(sat_conversion,[],[f498]) ).
cnf(s56,plain,
( ~ spl0_3
| spl0_12
| spl0_24
| spl0_29 ),
inference(sat_conversion,[],[f499]) ).
cnf(s58,plain,
( ~ spl0_1
| spl0_5
| spl0_28
| spl0_33 ),
inference(sat_conversion,[],[f520]) ).
cnf(s59,plain,
( ~ spl0_3
| spl0_10
| spl0_19
| spl0_24 ),
inference(sat_conversion,[],[f521]) ).
cnf(s60,plain,
( ~ spl0_1
| spl0_5
| spl0_25
| spl0_30 ),
inference(sat_conversion,[],[f522]) ).
cnf(s61,plain,
( ~ spl0_3
| spl0_21
| spl0_22
| spl0_32 ),
inference(sat_conversion,[],[f551]) ).
cnf(s62,plain,
spl0_3,
inference(rat,[],[s2,s3]) ).
cnf(s63,plain,
spl0_1,
inference(rat,[],[s1,s3]) ).
cnf(s64,plain,
( spl0_10
| spl0_26
| spl0_8
| spl0_20 ),
inference(rat,[],[s49,s12,s39,s13,s51,s63,s62]) ).
cnf(s65,plain,
( spl0_28
| spl0_18
| spl0_5 ),
inference(rat,[],[s45,s9,s43,s52,s58,s33,s35,s62,s63]) ).
cnf(s68,plain,
( spl0_28
| spl0_7
| spl0_5 ),
inference(rat,[],[s61,s24,s43,s37,s58,s17,s22,s62,s63]) ).
cnf(s69,plain,
( spl0_25
| spl0_7
| spl0_5 ),
inference(rat,[],[s41,s12,s39,s50,s60,s17,s22,s62,s63]) ).
cnf(s70,plain,
( spl0_27
| spl0_30
| spl0_24
| spl0_5 ),
inference(rat,[],[s40,s7,s59,s16,s35,s63,s62]) ).
cnf(s72,plain,
( spl0_8
| spl0_32
| spl0_28
| spl0_17
| spl0_30
| spl0_6 ),
inference(rat,[],[s45,s33,s9,s40,s52,s7,s16,s13,s19,s62,s63]) ).
cnf(s73,plain,
( spl0_32
| spl0_28
| spl0_30
| spl0_6
| spl0_4 ),
inference(rat,[],[s52,s9,s16,s45,s48,s33,s53,s6,s72,s12,s49,s17,s20,s63,s62]) ).
cnf(s74,plain,
( spl0_33
| spl0_30
| spl0_20 ),
inference(rat,[],[s25,s8,s24,s47,s46,s12,s49,s62,s63]) ).
cnf(s75,plain,
( spl0_30
| spl0_6
| spl0_4 ),
inference(rat,[],[s36,s73,s44,s43,s74,s17,s20,s62]) ).
cnf(s76,plain,
( spl0_8
| spl0_28
| spl0_25
| spl0_6 ),
inference(rat,[],[s55,s12,s8,s24,s13,s11,s30,s7,s9,s32,s52,s16,s19,s63,s62]) ).
cnf(s77,plain,
( spl0_26
| spl0_31
| spl0_4 ),
inference(rat,[],[s32,s7,s16,s51,s48,s31,s42,s63,s62]) ).
cnf(s78,plain,
( spl0_6
| spl0_4 ),
inference(rat,[],[s46,s24,s43,s54,s44,s36,s76,s6,s53,s33,s77,s31,s42,s39,s75,s17,s20,s62,s63]) ).
cnf(s79,plain,
( spl0_26
| spl0_32
| spl0_28
| spl0_4 ),
inference(rat,[],[s52,s9,s16,s45,s48,s63,s62]) ).
cnf(s80,plain,
( spl0_32
| spl0_28
| spl0_30
| spl0_4 ),
inference(rat,[],[s13,s7,s6,s40,s53,s33,s79,s12,s49,s17,s61,s24,s37,s5,s78,s62,s63]) ).
cnf(s81,plain,
( spl0_26
| spl0_21
| spl0_4 ),
inference(rat,[],[s18,s16,s6,s48,s34,s5,s78,s63,s62]) ).
cnf(s82,plain,
( spl0_28
| spl0_24
| spl0_30
| spl0_4 ),
inference(rat,[],[s52,s9,s16,s11,s59,s7,s40,s33,s81,s17,s8,s74,s47,s43,s80,s63,s62]) ).
cnf(s83,plain,
( spl0_24
| spl0_30
| spl0_4 ),
inference(rat,[],[s47,s8,s43,s56,s44,s36,s82,s62,s63]) ).
cnf(s84,plain,
( spl0_28
| spl0_30
| spl0_4 ),
inference(rat,[],[s8,s47,s25,s43,s24,s80,s37,s12,s50,s31,s83,s5,s78,s63,s62]) ).
cnf(s85,plain,
( spl0_30
| spl0_4 ),
inference(rat,[],[s27,s9,s6,s11,s13,s7,s40,s33,s24,s81,s25,s17,s8,s74,s47,s43,s44,s36,s84,s12,s50,s31,s83,s5,s78,s63,s62]) ).
cnf(s86,plain,
( spl0_22
| spl0_4 ),
inference(rat,[],[s10,s9,s8,s30,s25,s7,s13,s6,s53,s17,s41,s33,s77,s12,s50,s31,s42,s39,s85,s5,s78,s63,s62]) ).
cnf(s87,plain,
spl0_4,
inference(rat,[],[s44,s36,s43,s37,s46,s24,s86,s17,s41,s12,s50,s31,s42,s39,s85,s5,s78,s62,s63]) ).
cnf(s88,plain,
~ spl0_5,
inference(rat,[],[s4,s87]) ).
cnf(s89,plain,
( spl0_30
| spl0_28 ),
inference(rat,[],[s25,s8,s24,s10,s27,s9,s12,s45,s15,s33,s7,s70,s59,s31,s60,s43,s58,s6,s19,s16,s65,s5,s68,s62,s63,s88]) ).
cnf(s90,plain,
( spl0_26
| spl0_28 ),
inference(rat,[],[s25,s8,s24,s12,s10,s27,s15,s9,s7,s45,s51,s43,s58,s6,s19,s16,s65,s5,s68,s39,s89,s62,s63,s88]) ).
cnf(s91,plain,
spl0_28,
inference(rat,[],[s11,s7,s8,s9,s15,s55,s27,s12,s24,s41,s61,s17,s53,s33,s90,s39,s89,s6,s19,s5,s16,s43,s68,s65,s58,s62,s63,s88]) ).
cnf(s92,plain,
~ spl0_29,
inference(rat,[],[s36,s91]) ).
cnf(s93,plain,
( spl0_9
| spl0_18
| spl0_14 ),
inference(rat,[],[s54,s24,s5,s27,s18,s62,s92,s63]) ).
cnf(s94,plain,
( spl0_30
| spl0_32 ),
inference(rat,[],[s17,s64,s34,s6,s93,s16,s59,s7,s10,s9,s45,s8,s33,s56,s70,s31,s60,s62,s63,s92,s88]) ).
cnf(s95,plain,
( spl0_11
| spl0_14 ),
inference(rat,[],[s27,s6,s24,s19,s54,s16,s5,s32,s69,s31,s56,s8,s10,s88,s92,s62,s63]) ).
cnf(s96,plain,
( spl0_26
| spl0_32 ),
inference(rat,[],[s95,s7,s9,s51,s45,s39,s94,s62]) ).
cnf(s97,plain,
spl0_19,
inference(rat,[],[s27,s6,s24,s19,s54,s5,s69,s31,s59,s7,s95,s9,s38,s63,s62,s92,s88]) ).
cnf(s98,plain,
~ spl0_18,
inference(rat,[],[s16,s97]) ).
cnf(s99,plain,
spl0_27,
inference(rat,[],[s35,s88,s63,s98]) ).
cnf(s100,plain,
~ spl0_26,
inference(rat,[],[s33,s99]) ).
cnf(s101,plain,
spl0_32,
inference(rat,[],[s96,s100]) ).
cnf(s102,plain,
~ spl0_33,
inference(rat,[],[s43,s101]) ).
cnf(s103,plain,
( spl0_8
| spl0_15 ),
inference(rat,[],[s46,s24,s17,s30,s34,s63,s102,s62,s100]) ).
cnf(s104,plain,
spl0_31,
inference(rat,[],[s46,s17,s24,s41,s54,s12,s5,s15,s18,s6,s103,s9,s95,s7,s51,s63,s102,s62,s92,s98,s100]) ).
cnf(s105,plain,
~ spl0_30,
inference(rat,[],[s39,s104]) ).
cnf(s106,plain,
spl0_25,
inference(rat,[],[s60,s88,s63,s105]) ).
cnf(s107,plain,
spl0_13,
inference(rat,[],[s47,s102,s63,s105]) ).
cnf(s109,plain,
~ spl0_24,
inference(rat,[],[s31,s106]) ).
cnf(s110,plain,
~ spl0_12,
inference(rat,[],[s8,s107]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s56,s92,s62,s109,s110]) ).
fof(f552,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA014+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n016.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 08:52:47 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.47 % (2332349)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (2332360)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1694355426:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (2332355)% WARNING: option uhcvi not known.
% 0.16/0.47 % (2332354)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2376717743_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (2332355)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1802846018:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (2332359)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=349687131:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (2332356)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2141228579:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (2332357)dis+10_1_sil=32000:sp=arity:random_seed=848851335:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (2332358)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4026977352:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (2332360) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2332349-2332360"...
% 0.16/0.47 % Detected minimum model sizes of [1]
% 0.16/0.47 % Detected maximum model sizes of [6]
% 0.16/0.47 % TRYING [1]
% 0.16/0.47 % TRYING [2]
% 0.16/0.47 % TRYING [3]
% 0.16/0.47 % TRYING [4]
% 0.16/0.47 % TRYING [5]
% 0.16/0.47 % (2332360)...printing done.
% 0.16/0.47 % TRYING [6]
% 0.16/0.47 % (2332360)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Theorem for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (2332360)------------------------------
% 0.16/0.48 % (2332360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (2332360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (2332360)CaDiCaL version: 2.1.3
% 0.16/0.48 % (2332360)Termination reason: Refutation
% 0.16/0.48 % (2332360)Time elapsed: 0.009 s
% 0.16/0.48 % (2332360)Peak memory usage: 12 MB
% 0.16/0.48 % (2332360)Instructions burned: 23 (million)
% 0.16/0.48 % (2332349)Success in time 0.039 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------