%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n013.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 09:55:21 AM UTC 2026
% Result : Theorem 3.36s 1.47s
% Output : Refutation 4.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 39
% Syntax : Number of formulae : 365 ( 45 unt; 33 def)
% Number of atoms : 1094 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 1531 ( 802 ~; 683 |; 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 : 78 ( 0 sgn 78 !; 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
| ~ green(X0,X1)
| ~ green(X1,X2)
| ~ green(X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f10,plain,
! [X0,X1,X2] :
( goal
| ~ green(X0,X1)
| ~ green(X1,X2)
| ~ green(X0,X2) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] :
( goal
| ~ red(X0,X1)
| ~ red(X1,X2)
| ~ red(X0,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f12,plain,
! [X0,X1,X2] :
( goal
| ~ red(X0,X1)
| ~ red(X1,X2)
| ~ red(X0,X2) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0,X1] :
( red(X0,X1)
| green(X0,X1)
| ~ less_than(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f14,plain,
! [X0,X1] :
( red(X0,X1)
| green(X0,X1)
| ~ less_than(X0,X1) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0,X1,X2] :
( less_than(X0,X2)
| ~ less_than(X0,X1)
| ~ less_than(X1,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f16,plain,
! [X0,X1,X2] :
( less_than(X0,X2)
| ~ less_than(X0,X1)
| ~ less_than(X1,X2) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
~ goal,
inference(cnf_transformation,[],[f8]) ).
fof(f18,plain,
! [X2,X0,X1] :
( goal
| ~ green(X0,X1)
| ~ green(X1,X2)
| ~ green(X0,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f19,plain,
! [X2,X0,X1] :
( goal
| ~ red(X0,X1)
| ~ red(X1,X2)
| ~ red(X0,X2) ),
inference(cnf_transformation,[],[f12]) ).
fof(f20,plain,
! [X0,X1] :
( ~ less_than(X0,X1)
| green(X0,X1)
| red(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ less_than(X1,X2)
| ~ less_than(X0,X1)
| less_than(X0,X2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f22,plain,
less_than(n5,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f23,plain,
less_than(n4,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
less_than(n3,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
less_than(n2,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
less_than(n1,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f28,definition,
( spl0_1
<=> ! [X2,X0,X1] :
( ~ red(X0,X1)
| ~ red(X0,X2)
| ~ red(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f29,plain,
( ! [X2,X0,X1] :
( ~ red(X1,X2)
| ~ red(X0,X2)
| ~ red(X0,X1) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f31,definition,
( spl0_2
<=> goal ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f34,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f31,f28]) ).
fof(f36,definition,
( spl0_3
<=> ! [X2,X0,X1] :
( ~ green(X0,X1)
| ~ green(X0,X2)
| ~ green(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f37,plain,
( ! [X2,X0,X1] :
( ~ green(X1,X2)
| ~ green(X0,X2)
| ~ green(X0,X1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f38,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f31,f36]) ).
fof(f39,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f17,f31]) ).
fof(f40,plain,
( green(n1,n2)
| red(n1,n2) ),
inference(resolution,[],[f20,f26]) ).
fof(f41,plain,
( green(n2,n3)
| red(n2,n3) ),
inference(resolution,[],[f20,f25]) ).
fof(f42,plain,
( green(n3,n4)
| red(n3,n4) ),
inference(resolution,[],[f20,f24]) ).
fof(f43,plain,
( green(n4,n5)
| red(n4,n5) ),
inference(resolution,[],[f20,f23]) ).
fof(f44,plain,
( green(n5,n6)
| red(n5,n6) ),
inference(resolution,[],[f20,f22]) ).
fof(f46,definition,
( spl0_4
<=> red(n5,n6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f48,plain,
( red(n5,n6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f50,definition,
( spl0_5
<=> green(n5,n6) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f52,plain,
( green(n5,n6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f44,f50,f46]) ).
fof(f55,definition,
( spl0_6
<=> red(n4,n5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f57,plain,
( red(n4,n5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f59,definition,
( spl0_7
<=> green(n4,n5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f61,plain,
( green(n4,n5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f43,f59,f55]) ).
fof(f64,definition,
( spl0_8
<=> red(n3,n4) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f66,plain,
( red(n3,n4)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f68,definition,
( spl0_9
<=> green(n3,n4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f70,plain,
( green(n3,n4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f42,f68,f64]) ).
fof(f73,definition,
( spl0_10
<=> red(n2,n3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f75,plain,
( red(n2,n3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f77,definition,
( spl0_11
<=> green(n2,n3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f79,plain,
( green(n2,n3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f41,f77,f73]) ).
fof(f82,definition,
( spl0_12
<=> red(n1,n2) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f84,plain,
( red(n1,n2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f86,definition,
( spl0_13
<=> green(n1,n2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f88,plain,
( green(n1,n2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f40,f86,f82]) ).
fof(f91,plain,
! [X0] :
( ~ less_than(X0,n2)
| less_than(X0,n3) ),
inference(resolution,[],[f21,f25]) ).
fof(f92,plain,
! [X0] :
( ~ less_than(X0,n3)
| less_than(X0,n4) ),
inference(resolution,[],[f21,f24]) ).
fof(f93,plain,
! [X0] :
( ~ less_than(X0,n4)
| less_than(X0,n5) ),
inference(resolution,[],[f21,f23]) ).
fof(f94,plain,
! [X0] :
( ~ less_than(X0,n5)
| less_than(X0,n6) ),
inference(resolution,[],[f21,f22]) ).
fof(f95,plain,
( ! [X0] :
( ~ red(X0,n5)
| ~ red(X0,n4) )
| ~ spl0_1
| ~ spl0_6 ),
inference(resolution,[],[f57,f29]) ).
fof(f96,plain,
( ! [X0] :
( ~ green(X0,n6)
| ~ green(X0,n5) )
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f37,f52]) ).
fof(f97,plain,
( ! [X0] :
( ~ red(X0,n4)
| ~ red(X0,n3) )
| ~ spl0_1
| ~ spl0_8 ),
inference(resolution,[],[f66,f29]) ).
fof(f98,plain,
( ! [X0] :
( ~ red(X0,n3)
| ~ red(X0,n2) )
| ~ spl0_1
| ~ spl0_10 ),
inference(resolution,[],[f75,f29]) ).
fof(f100,plain,
less_than(n1,n3),
inference(resolution,[],[f91,f26]) ).
fof(f101,plain,
less_than(n2,n4),
inference(resolution,[],[f92,f25]) ).
fof(f102,plain,
less_than(n1,n4),
inference(resolution,[],[f100,f92]) ).
fof(f104,plain,
( green(n1,n3)
| red(n1,n3) ),
inference(resolution,[],[f100,f20]) ).
fof(f106,definition,
( spl0_14
<=> red(n1,n3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f108,plain,
( red(n1,n3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f110,definition,
( spl0_15
<=> green(n1,n3) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f112,plain,
( green(n1,n3)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f104,f110,f106]) ).
fof(f114,plain,
less_than(n3,n5),
inference(resolution,[],[f93,f24]) ).
fof(f115,plain,
less_than(n2,n5),
inference(resolution,[],[f101,f93]) ).
fof(f117,plain,
( green(n2,n4)
| red(n2,n4) ),
inference(resolution,[],[f101,f20]) ).
fof(f119,definition,
( spl0_16
<=> red(n2,n4) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f121,plain,
( red(n2,n4)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f123,definition,
( spl0_17
<=> green(n2,n4) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f125,plain,
( green(n2,n4)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f117,f123,f119]) ).
fof(f127,plain,
less_than(n4,n6),
inference(resolution,[],[f94,f23]) ).
fof(f128,plain,
less_than(n3,n6),
inference(resolution,[],[f114,f94]) ).
fof(f130,plain,
( green(n3,n5)
| red(n3,n5) ),
inference(resolution,[],[f114,f20]) ).
fof(f132,definition,
( spl0_18
<=> red(n3,n5) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f134,plain,
( red(n3,n5)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f136,definition,
( spl0_19
<=> green(n3,n5) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f138,plain,
( green(n3,n5)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,plain,
( spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f130,f136,f132]) ).
fof(f141,plain,
( green(n4,n6)
| red(n4,n6) ),
inference(resolution,[],[f127,f20]) ).
fof(f143,definition,
( spl0_20
<=> red(n4,n6) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f145,plain,
( red(n4,n6)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f147,definition,
( spl0_21
<=> green(n4,n6) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f149,plain,
( green(n4,n6)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f150,plain,
( spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f141,f147,f143]) ).
fof(f151,plain,
less_than(n1,n5),
inference(resolution,[],[f102,f93]) ).
fof(f153,plain,
( green(n1,n4)
| red(n1,n4) ),
inference(resolution,[],[f102,f20]) ).
fof(f155,definition,
( spl0_22
<=> red(n1,n4) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f157,plain,
( red(n1,n4)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f159,definition,
( spl0_23
<=> green(n1,n4) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f161,plain,
( green(n1,n4)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,plain,
( spl0_22
| spl0_23 ),
inference(avatar_split_clause,[],[f153,f159,f155]) ).
fof(f166,plain,
less_than(n2,n6),
inference(resolution,[],[f115,f94]) ).
fof(f168,plain,
( green(n2,n5)
| red(n2,n5) ),
inference(resolution,[],[f115,f20]) ).
fof(f170,definition,
( spl0_24
<=> red(n2,n5) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f172,plain,
( red(n2,n5)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f174,definition,
( spl0_25
<=> green(n2,n5) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f176,plain,
( green(n2,n5)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f177,plain,
( spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f168,f174,f170]) ).
fof(f179,plain,
( ~ red(n2,n3)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_16 ),
inference(resolution,[],[f121,f97]) ).
fof(f180,plain,
( ! [X0] :
( ~ red(X0,n4)
| ~ red(X0,n2) )
| ~ spl0_1
| ~ spl0_16 ),
inference(resolution,[],[f121,f29]) ).
fof(f183,plain,
( ~ red(n1,n2)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_14 ),
inference(resolution,[],[f98,f108]) ).
fof(f189,plain,
( ! [X0] :
( ~ green(X0,n4)
| ~ green(X0,n2) )
| ~ spl0_3
| ~ spl0_17 ),
inference(resolution,[],[f125,f37]) ).
fof(f191,plain,
( green(n3,n6)
| red(n3,n6) ),
inference(resolution,[],[f128,f20]) ).
fof(f193,definition,
( spl0_26
<=> red(n3,n6) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f195,plain,
( red(n3,n6)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f197,definition,
( spl0_27
<=> green(n3,n6) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f199,plain,
( green(n3,n6)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f200,plain,
( spl0_26
| spl0_27 ),
inference(avatar_split_clause,[],[f191,f197,f193]) ).
fof(f201,plain,
( ~ red(n3,n4)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18 ),
inference(resolution,[],[f134,f95]) ).
fof(f202,plain,
( ! [X0] :
( ~ red(X0,n5)
| ~ red(X0,n3) )
| ~ spl0_1
| ~ spl0_18 ),
inference(resolution,[],[f134,f29]) ).
fof(f203,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f201,f66]) ).
fof(f204,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f203]) ).
fof(f205,plain,
( ! [X0] :
( ~ green(X0,n5)
| ~ green(X0,n4) )
| ~ spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f61,f37]) ).
fof(f207,plain,
( ! [X0] :
( ~ red(X0,n6)
| ~ red(X0,n4) )
| ~ spl0_1
| ~ spl0_20 ),
inference(resolution,[],[f145,f29]) ).
fof(f208,plain,
less_than(n1,n6),
inference(resolution,[],[f151,f94]) ).
fof(f210,plain,
( green(n1,n5)
| red(n1,n5) ),
inference(resolution,[],[f151,f20]) ).
fof(f212,definition,
( spl0_28
<=> red(n1,n5) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f214,plain,
( red(n1,n5)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f216,definition,
( spl0_29
<=> green(n1,n5) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f218,plain,
( green(n1,n5)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f219,plain,
( spl0_28
| spl0_29 ),
inference(avatar_split_clause,[],[f210,f216,f212]) ).
fof(f220,plain,
( ~ red(n1,n3)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_22 ),
inference(resolution,[],[f157,f97]) ).
fof(f224,plain,
( green(n2,n6)
| red(n2,n6) ),
inference(resolution,[],[f166,f20]) ).
fof(f226,definition,
( spl0_30
<=> red(n2,n6) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f228,plain,
( red(n2,n6)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl0_31
<=> green(n2,n6) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f232,plain,
( green(n2,n6)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f233,plain,
( spl0_30
| spl0_31 ),
inference(avatar_split_clause,[],[f224,f230,f226]) ).
fof(f236,plain,
( ! [X0] :
( ~ red(X0,n5)
| ~ red(X0,n2) )
| ~ spl0_1
| ~ spl0_24 ),
inference(resolution,[],[f172,f29]) ).
fof(f240,plain,
( ! [X0] :
( ~ red(X0,n6)
| ~ red(X0,n3) )
| ~ spl0_1
| ~ spl0_26 ),
inference(resolution,[],[f195,f29]) ).
fof(f242,plain,
( green(n1,n6)
| red(n1,n6) ),
inference(resolution,[],[f208,f20]) ).
fof(f244,definition,
( spl0_32
<=> red(n1,n6) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f246,plain,
( red(n1,n6)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f248,definition,
( spl0_33
<=> green(n1,n6) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f250,plain,
( green(n1,n6)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f251,plain,
( spl0_32
| spl0_33 ),
inference(avatar_split_clause,[],[f242,f248,f244]) ).
fof(f260,plain,
( ~ red(n2,n3)
| ~ spl0_1
| ~ spl0_18
| ~ spl0_24 ),
inference(resolution,[],[f202,f172]) ).
fof(f262,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| ~ spl0_18
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f260,f75]) ).
fof(f263,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_18
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f262]) ).
fof(f264,plain,
( ~ green(n2,n4)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_25 ),
inference(resolution,[],[f176,f205]) ).
fof(f265,plain,
( ! [X0] :
( ~ green(X0,n5)
| ~ green(X0,n2) )
| ~ spl0_3
| ~ spl0_25 ),
inference(resolution,[],[f176,f37]) ).
fof(f266,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f264,f125]) ).
fof(f267,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f266]) ).
fof(f268,plain,
( ! [X0] :
( ~ green(X0,n4)
| ~ green(X0,n3) )
| ~ spl0_3
| ~ spl0_9 ),
inference(resolution,[],[f70,f37]) ).
fof(f271,plain,
( ~ red(n1,n2)
| ~ spl0_1
| ~ spl0_16
| ~ spl0_22 ),
inference(resolution,[],[f180,f157]) ).
fof(f273,plain,
( $false
| ~ spl0_1
| ~ spl0_12
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f271,f84]) ).
fof(f274,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f275,plain,
( ~ green(n1,n3)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_23 ),
inference(resolution,[],[f161,f268]) ).
fof(f277,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f275,f112]) ).
fof(f278,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f279,plain,
( ~ spl0_10
| ~ spl0_1
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f179,f119,f64,f28,f73]) ).
fof(f283,plain,
( ! [X0] :
( ~ green(X0,n3)
| ~ green(X0,n2) )
| ~ spl0_3
| ~ spl0_11 ),
inference(resolution,[],[f79,f37]) ).
fof(f286,plain,
( ~ green(n1,n2)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_15 ),
inference(resolution,[],[f283,f112]) ).
fof(f288,plain,
( ~ spl0_13
| ~ spl0_3
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f286,f110,f77,f36,f86]) ).
fof(f289,plain,
( ~ red(n2,n4)
| ~ spl0_1
| ~ spl0_20
| ~ spl0_30 ),
inference(resolution,[],[f207,f228]) ).
fof(f290,plain,
( ~ red(n3,n4)
| ~ spl0_1
| ~ spl0_20
| ~ spl0_26 ),
inference(resolution,[],[f207,f195]) ).
fof(f292,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f290,f66]) ).
fof(f293,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_20
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f294,plain,
( $false
| ~ spl0_1
| ~ spl0_16
| ~ spl0_20
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f289,f121]) ).
fof(f295,plain,
( ~ spl0_1
| ~ spl0_16
| ~ spl0_20
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f296,plain,
( ~ green(n4,n5)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_21 ),
inference(resolution,[],[f149,f96]) ).
fof(f297,plain,
( ! [X0] :
( ~ green(X0,n6)
| ~ green(X0,n4) )
| ~ spl0_3
| ~ spl0_21 ),
inference(resolution,[],[f149,f37]) ).
fof(f298,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f296,f61]) ).
fof(f299,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f300,plain,
( ! [X0] :
( ~ red(X0,n6)
| ~ red(X0,n5) )
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f48,f29]) ).
fof(f302,plain,
( ~ red(n1,n5)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_32 ),
inference(resolution,[],[f300,f246]) ).
fof(f303,plain,
( ~ red(n2,n5)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_30 ),
inference(resolution,[],[f300,f228]) ).
fof(f304,plain,
( ~ red(n3,n5)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_26 ),
inference(resolution,[],[f300,f195]) ).
fof(f308,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_28
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f302,f214]) ).
fof(f309,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_28
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f308]) ).
fof(f310,plain,
( ! [X0] :
( ~ green(X0,n6)
| ~ green(X0,n3) )
| ~ spl0_3
| ~ spl0_27 ),
inference(resolution,[],[f199,f37]) ).
fof(f311,plain,
( ~ green(n3,n4)
| ~ spl0_3
| ~ spl0_21
| ~ spl0_27 ),
inference(resolution,[],[f297,f199]) ).
fof(f313,plain,
( ~ green(n1,n4)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_29 ),
inference(resolution,[],[f218,f205]) ).
fof(f315,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f313,f161]) ).
fof(f316,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_23
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f317,plain,
( ~ red(n1,n3)
| ~ spl0_1
| ~ spl0_18
| ~ spl0_28 ),
inference(resolution,[],[f214,f202]) ).
fof(f319,plain,
( ~ green(n1,n4)
| ~ spl0_3
| ~ spl0_21
| ~ spl0_33 ),
inference(resolution,[],[f250,f297]) ).
fof(f321,plain,
( $false
| ~ spl0_3
| ~ spl0_21
| ~ spl0_23
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f319,f161]) ).
fof(f322,plain,
( ~ spl0_3
| ~ spl0_21
| ~ spl0_23
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f324,plain,
( ~ green(n3,n5)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_27 ),
inference(resolution,[],[f96,f199]) ).
fof(f326,plain,
( ~ spl0_19
| ~ spl0_3
| ~ spl0_5
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f324,f197,f50,f36,f136]) ).
fof(f329,plain,
( ~ green(n2,n5)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_31 ),
inference(resolution,[],[f232,f96]) ).
fof(f335,plain,
( ~ red(n1,n4)
| ~ spl0_1
| ~ spl0_20
| ~ spl0_32 ),
inference(resolution,[],[f246,f207]) ).
fof(f338,plain,
( ~ red(n1,n2)
| ~ spl0_1
| ~ spl0_24
| ~ spl0_28 ),
inference(resolution,[],[f236,f214]) ).
fof(f341,plain,
( $false
| ~ spl0_1
| ~ spl0_12
| ~ spl0_24
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f338,f84]) ).
fof(f342,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_24
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f345,plain,
( $false
| ~ spl0_1
| ~ spl0_14
| ~ spl0_18
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f317,f108]) ).
fof(f346,plain,
( ~ spl0_1
| ~ spl0_14
| ~ spl0_18
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f353,plain,
( ~ green(n3,n4)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_19 ),
inference(resolution,[],[f138,f205]) ).
fof(f354,plain,
( ! [X0] :
( ~ green(X0,n5)
| ~ green(X0,n3) )
| ~ spl0_3
| ~ spl0_19 ),
inference(resolution,[],[f138,f37]) ).
fof(f355,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f353,f70]) ).
fof(f356,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f370,plain,
( ~ green(n2,n3)
| ~ spl0_3
| ~ spl0_27
| ~ spl0_31 ),
inference(resolution,[],[f310,f232]) ).
fof(f372,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_27
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f370,f79]) ).
fof(f373,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_27
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f374,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_24
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f303,f172]) ).
fof(f375,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_24
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f374]) ).
fof(f393,plain,
( ~ green(n1,n3)
| ~ spl0_3
| ~ spl0_27
| ~ spl0_33 ),
inference(resolution,[],[f250,f310]) ).
fof(f395,plain,
( $false
| ~ spl0_3
| ~ spl0_15
| ~ spl0_27
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f393,f112]) ).
fof(f396,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_27
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f397,plain,
( $false
| ~ spl0_1
| ~ spl0_20
| ~ spl0_22
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f335,f157]) ).
fof(f398,plain,
( ~ spl0_1
| ~ spl0_20
| ~ spl0_22
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f409,plain,
( ~ green(n1,n2)
| ~ spl0_3
| ~ spl0_25
| ~ spl0_29 ),
inference(resolution,[],[f265,f218]) ).
fof(f412,plain,
( $false
| ~ spl0_3
| ~ spl0_13
| ~ spl0_25
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f409,f88]) ).
fof(f413,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_25
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f412]) ).
fof(f414,plain,
( ~ spl0_25
| ~ spl0_3
| ~ spl0_5
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f329,f230,f50,f36,f174]) ).
fof(f417,plain,
( ~ green(n1,n5)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_33 ),
inference(resolution,[],[f96,f250]) ).
fof(f420,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_29
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f417,f218]) ).
fof(f421,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_29
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f420]) ).
fof(f422,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_4
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f304,f193,f46,f28,f132]) ).
fof(f423,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f220,f108]) ).
fof(f424,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f447,plain,
( ~ green(n2,n4)
| ~ spl0_3
| ~ spl0_21
| ~ spl0_31 ),
inference(resolution,[],[f297,f232]) ).
fof(f449,plain,
( $false
| ~ spl0_3
| ~ spl0_17
| ~ spl0_21
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f447,f125]) ).
fof(f450,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_21
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f449]) ).
fof(f451,plain,
( ~ spl0_12
| ~ spl0_1
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f183,f106,f73,f28,f82]) ).
fof(f458,plain,
( ~ red(n4,n5)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_20 ),
inference(resolution,[],[f145,f300]) ).
fof(f460,plain,
( ~ green(n1,n2)
| ~ spl0_3
| ~ spl0_17
| ~ spl0_23 ),
inference(resolution,[],[f161,f189]) ).
fof(f462,plain,
( $false
| ~ spl0_3
| ~ spl0_13
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f460,f88]) ).
fof(f463,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_17
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f462]) ).
fof(f464,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f311,f70]) ).
fof(f465,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f468,plain,
( ~ red(n2,n4)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_24 ),
inference(resolution,[],[f95,f172]) ).
fof(f470,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f468,f121]) ).
fof(f471,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f476,plain,
( ~ green(n2,n3)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_17 ),
inference(resolution,[],[f125,f268]) ).
fof(f490,plain,
( ~ green(n1,n3)
| ~ spl0_3
| ~ spl0_19
| ~ spl0_29 ),
inference(resolution,[],[f354,f218]) ).
fof(f491,plain,
( ~ green(n2,n3)
| ~ spl0_3
| ~ spl0_19
| ~ spl0_25 ),
inference(resolution,[],[f354,f176]) ).
fof(f493,plain,
( $false
| ~ spl0_3
| ~ spl0_15
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f490,f112]) ).
fof(f494,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_19
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f493]) ).
fof(f495,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f476,f79]) ).
fof(f496,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f497,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_19
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f491,f79]) ).
fof(f498,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_19
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f505,plain,
( ~ red(n1,n4)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_28 ),
inference(resolution,[],[f214,f95]) ).
fof(f507,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_22
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f505,f157]) ).
fof(f508,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_22
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f511,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f458,f57]) ).
fof(f512,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f535,plain,
( ~ red(n1,n3)
| ~ spl0_1
| ~ spl0_26
| ~ spl0_32 ),
inference(resolution,[],[f240,f246]) ).
fof(f536,plain,
( ~ red(n2,n3)
| ~ spl0_1
| ~ spl0_26
| ~ spl0_30 ),
inference(resolution,[],[f240,f228]) ).
fof(f538,plain,
( $false
| ~ spl0_1
| ~ spl0_14
| ~ spl0_26
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f535,f108]) ).
fof(f539,plain,
( ~ spl0_1
| ~ spl0_14
| ~ spl0_26
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f538]) ).
fof(f540,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| ~ spl0_26
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f536,f75]) ).
fof(f541,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_26
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f540]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f34]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f38]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f39]) ).
cnf(s4,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f53]) ).
cnf(s5,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f62]) ).
cnf(s6,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f71]) ).
cnf(s7,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f80]) ).
cnf(s8,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f89]) ).
cnf(s9,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f113]) ).
cnf(s10,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f126]) ).
cnf(s11,plain,
( spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f139]) ).
cnf(s12,plain,
( spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f150]) ).
cnf(s13,plain,
( spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f162]) ).
cnf(s14,plain,
( spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f177]) ).
cnf(s17,plain,
( spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f200]) ).
cnf(s18,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18 ),
inference(sat_conversion,[],[f204]) ).
cnf(s19,plain,
( spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f219]) ).
cnf(s20,plain,
( spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f233]) ).
cnf(s21,plain,
( spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f251]) ).
cnf(s22,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_18
| ~ spl0_24 ),
inference(sat_conversion,[],[f263]) ).
cnf(s23,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| ~ spl0_25 ),
inference(sat_conversion,[],[f267]) ).
cnf(s24,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_16
| ~ spl0_22 ),
inference(sat_conversion,[],[f274]) ).
cnf(s25,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_15
| ~ spl0_23 ),
inference(sat_conversion,[],[f278]) ).
cnf(s26,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_16 ),
inference(sat_conversion,[],[f279]) ).
cnf(s27,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_13
| ~ spl0_15 ),
inference(sat_conversion,[],[f288]) ).
cnf(s28,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_20
| ~ spl0_26 ),
inference(sat_conversion,[],[f293]) ).
cnf(s29,plain,
( ~ spl0_1
| ~ spl0_16
| ~ spl0_20
| ~ spl0_30 ),
inference(sat_conversion,[],[f295]) ).
cnf(s30,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(sat_conversion,[],[f299]) ).
cnf(s32,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_28
| ~ spl0_32 ),
inference(sat_conversion,[],[f309]) ).
cnf(s33,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_23
| ~ spl0_29 ),
inference(sat_conversion,[],[f316]) ).
cnf(s34,plain,
( ~ spl0_3
| ~ spl0_21
| ~ spl0_23
| ~ spl0_33 ),
inference(sat_conversion,[],[f322]) ).
cnf(s35,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_19
| ~ spl0_27 ),
inference(sat_conversion,[],[f326]) ).
cnf(s37,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_24
| ~ spl0_28 ),
inference(sat_conversion,[],[f342]) ).
cnf(s39,plain,
( ~ spl0_1
| ~ spl0_14
| ~ spl0_18
| ~ spl0_28 ),
inference(sat_conversion,[],[f346]) ).
cnf(s40,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19 ),
inference(sat_conversion,[],[f356]) ).
cnf(s41,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_27
| ~ spl0_31 ),
inference(sat_conversion,[],[f373]) ).
cnf(s42,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_24
| ~ spl0_30 ),
inference(sat_conversion,[],[f375]) ).
cnf(s43,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_27
| ~ spl0_33 ),
inference(sat_conversion,[],[f396]) ).
cnf(s44,plain,
( ~ spl0_1
| ~ spl0_20
| ~ spl0_22
| ~ spl0_32 ),
inference(sat_conversion,[],[f398]) ).
cnf(s45,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_25
| ~ spl0_29 ),
inference(sat_conversion,[],[f413]) ).
cnf(s46,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_25
| ~ spl0_31 ),
inference(sat_conversion,[],[f414]) ).
cnf(s47,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_29
| ~ spl0_33 ),
inference(sat_conversion,[],[f421]) ).
cnf(s48,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_18
| ~ spl0_26 ),
inference(sat_conversion,[],[f422]) ).
cnf(s49,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_14
| ~ spl0_22 ),
inference(sat_conversion,[],[f424]) ).
cnf(s50,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_21
| ~ spl0_31 ),
inference(sat_conversion,[],[f450]) ).
cnf(s51,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(sat_conversion,[],[f451]) ).
cnf(s53,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_17
| ~ spl0_23 ),
inference(sat_conversion,[],[f463]) ).
cnf(s54,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_21
| ~ spl0_27 ),
inference(sat_conversion,[],[f465]) ).
cnf(s55,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_24 ),
inference(sat_conversion,[],[f471]) ).
cnf(s56,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_19
| ~ spl0_29 ),
inference(sat_conversion,[],[f494]) ).
cnf(s57,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f496]) ).
cnf(s58,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_19
| ~ spl0_25 ),
inference(sat_conversion,[],[f498]) ).
cnf(s62,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_22
| ~ spl0_28 ),
inference(sat_conversion,[],[f508]) ).
cnf(s64,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(sat_conversion,[],[f512]) ).
cnf(s65,plain,
( ~ spl0_1
| ~ spl0_14
| ~ spl0_26
| ~ spl0_32 ),
inference(sat_conversion,[],[f539]) ).
cnf(s66,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_26
| ~ spl0_30 ),
inference(sat_conversion,[],[f541]) ).
cnf(s67,plain,
spl0_3,
inference(rat,[],[s2,s3]) ).
cnf(s68,plain,
spl0_1,
inference(rat,[],[s1,s3]) ).
cnf(s69,plain,
( ~ spl0_14
| ~ spl0_26
| ~ spl0_18
| ~ spl0_5 ),
inference(rat,[],[s47,s19,s21,s39,s65,s67,s68]) ).
cnf(s70,plain,
( ~ spl0_11
| ~ spl0_18
| ~ spl0_9
| ~ spl0_20
| ~ spl0_5 ),
inference(rat,[],[s24,s13,s8,s25,s27,s9,s69,s17,s41,s20,s29,s10,s57,s68,s67]) ).
cnf(s71,plain,
( ~ spl0_25
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s29,s20,s10,s46,s23,s12,s30,s68,s67]) ).
cnf(s73,plain,
( ~ spl0_29
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s44,s13,s21,s33,s47,s12,s30,s68,s67]) ).
cnf(s74,plain,
( ~ spl0_18
| ~ spl0_28
| ~ spl0_24 ),
inference(rat,[],[s27,s9,s7,s39,s22,s8,s37,s67,s68]) ).
cnf(s75,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s28,s6,s17,s40,s35,s11,s74,s19,s73,s14,s71,s12,s30,s67,s68]) ).
cnf(s76,plain,
( ~ spl0_24
| ~ spl0_18
| ~ spl0_6 ),
inference(rat,[],[s57,s7,s10,s22,s55,s6,s18,s67,s68]) ).
cnf(s77,plain,
( ~ spl0_11
| ~ spl0_18
| ~ spl0_5
| ~ spl0_9 ),
inference(rat,[],[s24,s13,s8,s25,s27,s9,s69,s17,s54,s10,s12,s57,s70,s67,s68]) ).
cnf(s78,plain,
( ~ spl0_13
| ~ spl0_17
| ~ spl0_25
| ~ spl0_6 ),
inference(rat,[],[s62,s13,s19,s53,s45,s68,s67]) ).
cnf(s79,plain,
( ~ spl0_18
| ~ spl0_5 ),
inference(rat,[],[s44,s21,s13,s43,s25,s9,s51,s8,s78,s10,s29,s12,s54,s17,s66,s7,s77,s20,s46,s14,s76,s6,s18,s5,s75,s68,s67]) ).
cnf(s82,plain,
( ~ spl0_29
| ~ spl0_5 ),
inference(rat,[],[s65,s9,s21,s56,s47,s17,s35,s11,s79,s68,s67]) ).
cnf(s83,plain,
( ~ spl0_24
| ~ spl0_5 ),
inference(rat,[],[s53,s8,s10,s37,s55,s13,s62,s19,s82,s5,s75,s67,s68]) ).
cnf(s84,plain,
( ~ spl0_19
| ~ spl0_5 ),
inference(rat,[],[s66,s7,s20,s58,s46,s14,s83,s17,s35,s67,s68]) ).
cnf(s85,plain,
~ spl0_5,
inference(rat,[],[s84,s11,s79]) ).
cnf(s86,plain,
spl0_4,
inference(rat,[],[s4,s85]) ).
cnf(s87,plain,
( ~ spl0_18
| ~ spl0_24 ),
inference(rat,[],[s41,s7,s17,s22,s48,s20,s42,s67,s68,s86]) ).
cnf(s88,plain,
( ~ spl0_14
| ~ spl0_26
| ~ spl0_8 ),
inference(rat,[],[s34,s13,s21,s49,s65,s12,s28,s67,s68]) ).
cnf(s89,plain,
( ~ spl0_16
| ~ spl0_24 ),
inference(rat,[],[s37,s19,s8,s56,s27,s9,s88,s17,s41,s7,s26,s6,s40,s5,s55,s20,s42,s11,s87,s68,s67,s86]) ).
cnf(s90,plain,
( ~ spl0_22
| ~ spl0_24 ),
inference(rat,[],[s43,s9,s21,s49,s44,s17,s28,s6,s40,s5,s64,s11,s87,s12,s50,s10,s89,s20,s42,s67,s68,s86]) ).
cnf(s91,plain,
~ spl0_24,
inference(rat,[],[s37,s8,s19,s53,s33,s13,s90,s5,s64,s12,s50,s10,s89,s20,s42,s68,s67,s86]) ).
cnf(s92,plain,
spl0_25,
inference(rat,[],[s14,s91]) ).
cnf(s93,plain,
( ~ spl0_11
| ~ spl0_13 ),
inference(rat,[],[s39,s9,s11,s27,s58,s19,s45,s68,s67,s92]) ).
cnf(s94,plain,
( ~ spl0_6
| ~ spl0_28 ),
inference(rat,[],[s34,s13,s12,s62,s64,s21,s32,s67,s68,s86]) ).
cnf(s95,plain,
( ~ spl0_18
| ~ spl0_28 ),
inference(rat,[],[s43,s9,s17,s39,s48,s21,s32,s67,s68,s86]) ).
cnf(s96,plain,
~ spl0_13,
inference(rat,[],[s6,s26,s40,s10,s11,s23,s95,s5,s94,s7,s93,s19,s45,s68,s67,s92]) ).
cnf(s97,plain,
spl0_12,
inference(rat,[],[s8,s96]) ).
cnf(s98,plain,
( ~ spl0_9
| ~ spl0_11 ),
inference(rat,[],[s29,s12,s10,s54,s57,s20,s41,s17,s48,s11,s58,s68,s67,s86,s92]) ).
cnf(s99,plain,
~ spl0_14,
inference(rat,[],[s33,s13,s5,s49,s18,s6,s98,s19,s39,s11,s58,s7,s51,s67,s68,s92,s97]) ).
cnf(s100,plain,
spl0_15,
inference(rat,[],[s9,s99]) ).
cnf(s101,plain,
~ spl0_11,
inference(rat,[],[s24,s13,s10,s33,s23,s5,s19,s18,s95,s6,s11,s98,s58,s68,s97,s67,s92]) ).
cnf(s102,plain,
spl0_10,
inference(rat,[],[s7,s101]) ).
cnf(s103,plain,
~ spl0_9,
inference(rat,[],[s66,s17,s20,s54,s50,s12,s64,s5,s23,s10,s24,s13,s25,s68,s102,s67,s86,s92,s97,s100]) ).
cnf(s104,plain,
spl0_8,
inference(rat,[],[s6,s103]) ).
cnf(s105,plain,
~ spl0_16,
inference(rat,[],[s26,s102,s68,s104]) ).
cnf(s106,plain,
spl0_17,
inference(rat,[],[s10,s105]) ).
cnf(s107,plain,
~ spl0_7,
inference(rat,[],[s23,s92,s67,s106]) ).
cnf(s108,plain,
spl0_6,
inference(rat,[],[s5,s107]) ).
cnf(s110,plain,
~ spl0_28,
inference(rat,[],[s94,s108]) ).
cnf(s111,plain,
~ spl0_18,
inference(rat,[],[s18,s104,s68,s108]) ).
cnf(s113,plain,
spl0_29,
inference(rat,[],[s19,s110]) ).
cnf(s114,plain,
spl0_19,
inference(rat,[],[s11,s111]) ).
cnf(s116,plain,
$false,
inference(rat,[],[s56,s100,s67,s114,s113]) ).
fof(f542,plain,
$false,
inference(avatar_sat_refutation,[],[s116]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 08:47:22 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.36/1.47 % (4118063)Detected formulas, will run a generic FOF schedule.
% 3.36/1.47 % (4118069)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2602233398:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.36/1.47 % (4118072)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1901557465:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.36/1.47 % (4118072)Refutation not found, incomplete strategy
% 3.36/1.47 % (4118072)------------------------------
% 3.36/1.47 % (4118072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.47 % (4118072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.47 % (4118072)CaDiCaL version: 2.1.3
% 3.36/1.47 % (4118072)Termination reason: Refutation not found, incomplete strategy
% 3.36/1.47 % (4118072)Time elapsed: 0.0000 s
% 3.36/1.47 % (4118072)Peak memory usage: 86 MB
% 3.36/1.47 % (4118071)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3008806851:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.36/1.47 % (4118068)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=863480387:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.36/1.47 % (4118070)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1710648348:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.36/1.47 % (4118071)Refutation not found, incomplete strategy
% 3.36/1.47 % (4118071)------------------------------
% 3.36/1.47 % (4118071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.47 % (4118071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.47 % (4118071)CaDiCaL version: 2.1.3
% 3.36/1.47 % (4118071)Termination reason: Refutation not found, incomplete strategy
% 3.36/1.47 % (4118071)Time elapsed: 0.0000 s
% 3.36/1.47 % (4118071)Peak memory usage: 86 MB
% 3.36/1.47 % (4118074)dis-21_1_sil=8000:lcm=predicate:random_seed=1741239003:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.36/1.47 % (4118073)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=174789383:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.36/1.47 % (4118074)Instruction limit reached!
% 3.36/1.47 % (4118074)------------------------------
% 3.36/1.47 % (4118074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.47 % (4118074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.47 % (4118074)CaDiCaL version: 2.1.3
% 3.36/1.47 % (4118074)Termination reason: Instruction limit
% 3.36/1.47 % (4118074)Termination phase: Saturation
% 3.36/1.47 % (4118074)Time elapsed: 0.054 s
% 3.36/1.47 % (4118074)Peak memory usage: 88 MB
% 3.36/1.47 % (4118074)Instructions burned: 131 (million)
% 3.36/1.47 % (4118073)Instruction limit reached!
% 3.36/1.47 % (4118073)------------------------------
% 3.36/1.47 % (4118073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.47 % (4118073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.47 % (4118073)CaDiCaL version: 2.1.3
% 3.36/1.47 % (4118073)Termination reason: Instruction limit
% 3.36/1.47 % (4118073)Termination phase: Saturation
% 3.36/1.47 % (4118073)Time elapsed: 0.067 s
% 3.36/1.47 % (4118073)Peak memory usage: 88 MB
% 3.36/1.47 % (4118073)Instructions burned: 140 (million)
% 3.36/1.47 % (4118082)lrs+10_1_sil=8000:sp=occurrence:random_seed=2018387033:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.36/1.47 % (4118082)First to succeed.
% 3.36/1.47 % (4118082)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4118063"
% 3.36/1.47 % (4118072)------------------------------
% 3.36/1.47 % (4118072)------------------------------
% 3.36/1.47 % (4118083)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1591672007:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.36/1.47 % (4118083)Refutation not found, incomplete strategy
% 3.36/1.47 % (4118083)------------------------------
% 3.36/1.47 % (4118083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.47 % (4118083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.47 % (4118083)CaDiCaL version: 2.1.3
% 3.36/1.47 % (4118083)Termination reason: Refutation not found, incomplete strategy
% 3.36/1.47 % (4118083)Time elapsed: 0.001 s
% 3.36/1.47 % (4118083)Peak memory usage: 87 MB
% 3.36/1.47 % (4118071)------------------------------
% 3.36/1.47 % (4118071)------------------------------
% 3.36/1.47 % (4118086)lrs+1011_1_sil=32000:sp=occurrence:random_seed=675883334:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 3.36/1.47 % (4118086)Refutation not found, incomplete strategy
% 3.36/1.47 % (4118086)------------------------------
% 3.36/1.47 % (4118086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.47 % (4118086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.47 % (4118086)CaDiCaL version: 2.1.3
% 3.36/1.47 % (4118086)Termination reason: Refutation not found, incomplete strategy
% 3.36/1.47 % (4118086)Time elapsed: 0.001 s
% 3.36/1.47 % (4118086)Peak memory usage: 87 MB
% 3.36/1.47 % (4118069)Also succeeded, but the first one will report.
% 3.36/1.47 % (4118087)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3726328974:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.36/1.47 % (4118087)Refutation not found, incomplete strategy
% 3.36/1.47 % (4118087)------------------------------
% 3.36/1.47 % (4118087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.47 % (4118087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.47 % (4118087)CaDiCaL version: 2.1.3
% 3.36/1.47 % (4118087)Termination reason: Refutation not found, incomplete strategy
% 3.36/1.47 % (4118087)Time elapsed: 0.002 s
% 3.36/1.47 % (4118087)Peak memory usage: 88 MB
% 3.36/1.47 % (4118087)Instructions burned: 1 (million)
% 3.36/1.47 % (4118082)Refutation found. Thanks to Tanya!
% 3.36/1.47 % SZS status Theorem for theBenchmark
% 3.36/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 4.94/1.67 % (4118082)------------------------------
% 4.94/1.67 % (4118082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.67 % (4118082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.67 % (4118082)CaDiCaL version: 2.1.3
% 4.94/1.67 % (4118082)Termination reason: Refutation
% 4.94/1.67 % (4118082)Time elapsed: 0.013 s
% 4.94/1.67 % (4118082)Peak memory usage: 89 MB
% 4.94/1.67 % (4118082)Instructions burned: 18 (million)
% 4.94/1.67 % (4118082)------------------------------
% 4.94/1.67 % (4118082)------------------------------
% 4.94/1.67 % (4118063)Success in time 0.618 s
% 4.94/1.67 % Vampire exiting
%------------------------------------------------------------------------------