%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG014+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 09:20:04 AM UTC 2026
% Result : Theorem 0.06s 0.26s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 21
% Syntax : Number of formulae : 138 ( 13 unt; 18 def)
% Number of atoms : 514 ( 217 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 492 ( 116 ~; 286 |; 72 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f5,axiom,
unit = e0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f12,conjecture,
( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 )
| ~ ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f13,negated_conjecture,
~ ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 )
| ~ ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f15,plain,
( ( e0 != op(e0,e0)
| e0 != op(e1,e1)
| e0 != op(e2,e2)
| e0 != op(e3,e3) )
& ( op(e0,e0) != e1
| e1 != op(e1,e1)
| e1 != op(e2,e2)
| e1 != op(e3,e3) )
& ( op(e0,e0) != e2
| e2 != op(e1,e1)
| e2 != op(e2,e2)
| e2 != op(e3,e3) )
& ( op(e0,e0) != e3
| e3 != op(e1,e1)
| e3 != op(e2,e2)
| e3 != op(e3,e3) )
& ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f103,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
e0 = unit,
inference(cnf_transformation,[],[f5]) ).
fof(f195,plain,
( e0 = op(e3,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f196,plain,
( e0 = op(e2,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f197,plain,
( e0 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f199,plain,
( e1 = op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f200,plain,
( e1 = op(e2,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f201,plain,
( e1 = op(e1,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f202,plain,
( op(e0,e0) = e1
| ~ sP0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f203,plain,
( op(e0,e0) = e3
| e2 = op(e3,e3)
| sP0
| sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f204,plain,
( op(e0,e0) = e3
| e2 = op(e2,e2)
| sP0
| sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f205,plain,
( op(e0,e0) = e3
| e2 = op(e1,e1)
| sP0
| sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f206,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| sP0
| sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f207,plain,
( e3 = op(e1,e1)
| e2 = op(e3,e3)
| sP0
| sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f208,plain,
( e3 = op(e1,e1)
| e2 = op(e2,e2)
| sP0
| sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f209,plain,
( e3 = op(e1,e1)
| e2 = op(e1,e1)
| sP0
| sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f210,plain,
( e3 = op(e1,e1)
| op(e0,e0) = e2
| sP0
| sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f211,plain,
( e3 = op(e2,e2)
| e2 = op(e3,e3)
| sP0
| sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f212,plain,
( e3 = op(e2,e2)
| e2 = op(e2,e2)
| sP0
| sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f213,plain,
( e3 = op(e2,e2)
| e2 = op(e1,e1)
| sP0
| sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f214,plain,
( e3 = op(e2,e2)
| op(e0,e0) = e2
| sP0
| sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f215,plain,
( e3 = op(e3,e3)
| e2 = op(e3,e3)
| sP0
| sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f216,plain,
( e3 = op(e3,e3)
| e2 = op(e2,e2)
| sP0
| sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f217,plain,
( e3 = op(e3,e3)
| e2 = op(e1,e1)
| sP0
| sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f218,plain,
( e3 = op(e3,e3)
| op(e0,e0) = e2
| sP0
| sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f219,plain,
( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f220,plain,
( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f221,plain,
( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f15]) ).
fof(f222,plain,
( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f15]) ).
fof(f277,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f103,f117,f117]) ).
fof(f328,plain,
( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| e3 != op(unit,unit) ),
inference(definition_unfolding,[],[f222,f117,f117]) ).
fof(f329,plain,
( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| e2 != op(unit,unit) ),
inference(definition_unfolding,[],[f221,f117,f117]) ).
fof(f330,plain,
( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| e1 != op(unit,unit) ),
inference(definition_unfolding,[],[f220,f117,f117]) ).
fof(f331,plain,
( op(e3,e3) != unit
| op(e2,e2) != unit
| op(e1,e1) != unit
| unit != op(unit,unit) ),
inference(definition_unfolding,[],[f219,f117,f117,f117,f117,f117,f117]) ).
fof(f332,plain,
( e3 = op(e3,e3)
| e2 = op(unit,unit)
| sP0
| sP1 ),
inference(definition_unfolding,[],[f218,f117,f117]) ).
fof(f333,plain,
( e3 = op(e2,e2)
| e2 = op(unit,unit)
| sP0
| sP1 ),
inference(definition_unfolding,[],[f214,f117,f117]) ).
fof(f334,plain,
( e3 = op(e1,e1)
| e2 = op(unit,unit)
| sP0
| sP1 ),
inference(definition_unfolding,[],[f210,f117,f117]) ).
fof(f335,plain,
( e3 = op(unit,unit)
| e2 = op(unit,unit)
| sP0
| sP1 ),
inference(definition_unfolding,[],[f206,f117,f117,f117,f117]) ).
fof(f336,plain,
( e3 = op(unit,unit)
| e2 = op(e1,e1)
| sP0
| sP1 ),
inference(definition_unfolding,[],[f205,f117,f117]) ).
fof(f337,plain,
( e3 = op(unit,unit)
| e2 = op(e2,e2)
| sP0
| sP1 ),
inference(definition_unfolding,[],[f204,f117,f117]) ).
fof(f338,plain,
( e3 = op(unit,unit)
| e2 = op(e3,e3)
| sP0
| sP1 ),
inference(definition_unfolding,[],[f203,f117,f117]) ).
fof(f339,plain,
( e1 = op(unit,unit)
| ~ sP0 ),
inference(definition_unfolding,[],[f202,f117,f117]) ).
fof(f341,plain,
( op(e1,e1) = unit
| ~ sP1 ),
inference(definition_unfolding,[],[f197,f117]) ).
fof(f342,plain,
( op(e2,e2) = unit
| ~ sP1 ),
inference(definition_unfolding,[],[f196,f117]) ).
fof(f343,plain,
( op(e3,e3) = unit
| ~ sP1 ),
inference(definition_unfolding,[],[f195,f117]) ).
fof(f345,definition,
( spl2_1
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f349,definition,
( spl2_2
<=> op(e3,e3) = unit ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f352,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f343,f349,f345]) ).
fof(f354,definition,
( spl2_3
<=> op(e2,e2) = unit ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f357,plain,
( ~ spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f342,f354,f345]) ).
fof(f359,definition,
( spl2_4
<=> op(e1,e1) = unit ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f362,plain,
( ~ spl2_1
| spl2_4 ),
inference(avatar_split_clause,[],[f341,f359,f345]) ).
fof(f364,definition,
( spl2_5
<=> unit = op(unit,unit) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f369,definition,
( spl2_6
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f373,definition,
( spl2_7
<=> e1 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f376,plain,
( ~ spl2_6
| spl2_7 ),
inference(avatar_split_clause,[],[f199,f373,f369]) ).
fof(f378,definition,
( spl2_8
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f381,plain,
( ~ spl2_6
| spl2_8 ),
inference(avatar_split_clause,[],[f200,f378,f369]) ).
fof(f383,definition,
( spl2_9
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f386,plain,
( ~ spl2_6
| spl2_9 ),
inference(avatar_split_clause,[],[f201,f383,f369]) ).
fof(f388,definition,
( spl2_10
<=> e1 = op(unit,unit) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f391,plain,
( ~ spl2_6
| spl2_10 ),
inference(avatar_split_clause,[],[f339,f388,f369]) ).
fof(f393,definition,
( spl2_11
<=> e2 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f397,definition,
( spl2_12
<=> e3 = op(unit,unit) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f400,plain,
( spl2_1
| spl2_6
| spl2_11
| spl2_12 ),
inference(avatar_split_clause,[],[f338,f397,f393,f369,f345]) ).
fof(f402,definition,
( spl2_13
<=> e2 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f405,plain,
( spl2_1
| spl2_6
| spl2_13
| spl2_12 ),
inference(avatar_split_clause,[],[f337,f397,f402,f369,f345]) ).
fof(f407,definition,
( spl2_14
<=> e2 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
fof(f410,plain,
( spl2_1
| spl2_6
| spl2_14
| spl2_12 ),
inference(avatar_split_clause,[],[f336,f397,f407,f369,f345]) ).
fof(f412,definition,
( spl2_15
<=> e2 = op(unit,unit) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
fof(f415,plain,
( spl2_1
| spl2_6
| spl2_15
| spl2_12 ),
inference(avatar_split_clause,[],[f335,f397,f412,f369,f345]) ).
fof(f417,definition,
( spl2_16
<=> e3 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
fof(f420,plain,
( spl2_1
| spl2_6
| spl2_11
| spl2_16 ),
inference(avatar_split_clause,[],[f207,f417,f393,f369,f345]) ).
fof(f421,plain,
( spl2_1
| spl2_6
| spl2_13
| spl2_16 ),
inference(avatar_split_clause,[],[f208,f417,f402,f369,f345]) ).
fof(f422,plain,
( spl2_1
| spl2_6
| spl2_14
| spl2_16 ),
inference(avatar_split_clause,[],[f209,f417,f407,f369,f345]) ).
fof(f423,plain,
( spl2_1
| spl2_6
| spl2_15
| spl2_16 ),
inference(avatar_split_clause,[],[f334,f417,f412,f369,f345]) ).
fof(f425,definition,
( spl2_17
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
fof(f428,plain,
( spl2_1
| spl2_6
| spl2_11
| spl2_17 ),
inference(avatar_split_clause,[],[f211,f425,f393,f369,f345]) ).
fof(f429,plain,
( spl2_1
| spl2_6
| spl2_13
| spl2_17 ),
inference(avatar_split_clause,[],[f212,f425,f402,f369,f345]) ).
fof(f430,plain,
( spl2_1
| spl2_6
| spl2_14
| spl2_17 ),
inference(avatar_split_clause,[],[f213,f425,f407,f369,f345]) ).
fof(f431,plain,
( spl2_1
| spl2_6
| spl2_15
| spl2_17 ),
inference(avatar_split_clause,[],[f333,f425,f412,f369,f345]) ).
fof(f433,definition,
( spl2_18
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
fof(f436,plain,
( spl2_1
| spl2_6
| spl2_11
| spl2_18 ),
inference(avatar_split_clause,[],[f215,f433,f393,f369,f345]) ).
fof(f437,plain,
( spl2_1
| spl2_6
| spl2_13
| spl2_18 ),
inference(avatar_split_clause,[],[f216,f433,f402,f369,f345]) ).
fof(f438,plain,
( spl2_1
| spl2_6
| spl2_14
| spl2_18 ),
inference(avatar_split_clause,[],[f217,f433,f407,f369,f345]) ).
fof(f439,plain,
( spl2_1
| spl2_6
| spl2_15
| spl2_18 ),
inference(avatar_split_clause,[],[f332,f433,f412,f369,f345]) ).
fof(f440,plain,
( ~ spl2_5
| ~ spl2_4
| ~ spl2_3
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f331,f349,f354,f359,f364]) ).
fof(f441,plain,
( ~ spl2_10
| ~ spl2_9
| ~ spl2_8
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f330,f373,f378,f383,f388]) ).
fof(f442,plain,
( ~ spl2_15
| ~ spl2_14
| ~ spl2_13
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f329,f393,f402,f407,f412]) ).
fof(f443,plain,
( ~ spl2_12
| ~ spl2_16
| ~ spl2_17
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f328,f433,f425,f417,f397]) ).
fof(f521,plain,
spl2_5,
inference(avatar_split_clause,[],[f277,f364]) ).
cnf(s1,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f352]) ).
cnf(s2,plain,
( ~ spl2_1
| spl2_3 ),
inference(sat_conversion,[],[f357]) ).
cnf(s3,plain,
( ~ spl2_1
| spl2_4 ),
inference(sat_conversion,[],[f362]) ).
cnf(s5,plain,
( ~ spl2_6
| spl2_7 ),
inference(sat_conversion,[],[f376]) ).
cnf(s6,plain,
( ~ spl2_6
| spl2_8 ),
inference(sat_conversion,[],[f381]) ).
cnf(s7,plain,
( ~ spl2_6
| spl2_9 ),
inference(sat_conversion,[],[f386]) ).
cnf(s8,plain,
( ~ spl2_6
| spl2_10 ),
inference(sat_conversion,[],[f391]) ).
cnf(s9,plain,
( spl2_1
| spl2_6
| spl2_11
| spl2_12 ),
inference(sat_conversion,[],[f400]) ).
cnf(s10,plain,
( spl2_1
| spl2_6
| spl2_12
| spl2_13 ),
inference(sat_conversion,[],[f405]) ).
cnf(s11,plain,
( spl2_1
| spl2_6
| spl2_12
| spl2_14 ),
inference(sat_conversion,[],[f410]) ).
cnf(s12,plain,
( spl2_1
| spl2_6
| spl2_12
| spl2_15 ),
inference(sat_conversion,[],[f415]) ).
cnf(s13,plain,
( spl2_1
| spl2_6
| spl2_11
| spl2_16 ),
inference(sat_conversion,[],[f420]) ).
cnf(s14,plain,
( spl2_1
| spl2_6
| spl2_13
| spl2_16 ),
inference(sat_conversion,[],[f421]) ).
cnf(s15,plain,
( spl2_1
| spl2_6
| spl2_14
| spl2_16 ),
inference(sat_conversion,[],[f422]) ).
cnf(s16,plain,
( spl2_1
| spl2_6
| spl2_15
| spl2_16 ),
inference(sat_conversion,[],[f423]) ).
cnf(s17,plain,
( spl2_1
| spl2_6
| spl2_11
| spl2_17 ),
inference(sat_conversion,[],[f428]) ).
cnf(s18,plain,
( spl2_1
| spl2_6
| spl2_13
| spl2_17 ),
inference(sat_conversion,[],[f429]) ).
cnf(s19,plain,
( spl2_1
| spl2_6
| spl2_14
| spl2_17 ),
inference(sat_conversion,[],[f430]) ).
cnf(s20,plain,
( spl2_1
| spl2_6
| spl2_15
| spl2_17 ),
inference(sat_conversion,[],[f431]) ).
cnf(s21,plain,
( spl2_1
| spl2_6
| spl2_11
| spl2_18 ),
inference(sat_conversion,[],[f436]) ).
cnf(s22,plain,
( spl2_1
| spl2_6
| spl2_13
| spl2_18 ),
inference(sat_conversion,[],[f437]) ).
cnf(s23,plain,
( spl2_1
| spl2_6
| spl2_14
| spl2_18 ),
inference(sat_conversion,[],[f438]) ).
cnf(s24,plain,
( spl2_1
| spl2_6
| spl2_15
| spl2_18 ),
inference(sat_conversion,[],[f439]) ).
cnf(s25,plain,
( ~ spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(sat_conversion,[],[f440]) ).
cnf(s26,plain,
( ~ spl2_7
| ~ spl2_8
| ~ spl2_9
| ~ spl2_10 ),
inference(sat_conversion,[],[f441]) ).
cnf(s27,plain,
( ~ spl2_11
| ~ spl2_13
| ~ spl2_14
| ~ spl2_15 ),
inference(sat_conversion,[],[f442]) ).
cnf(s28,plain,
( ~ spl2_12
| ~ spl2_16
| ~ spl2_17
| ~ spl2_18 ),
inference(sat_conversion,[],[f443]) ).
cnf(s44,plain,
spl2_5,
inference(sat_conversion,[],[f521]) ).
cnf(s58,plain,
( ~ spl2_2
| ~ spl2_3
| ~ spl2_4 ),
inference(rat,[],[s25,s44]) ).
cnf(s60,plain,
( spl2_18
| ~ spl2_11
| spl2_6
| spl2_1 ),
inference(rat,[],[s27,s22,s23,s24]) ).
cnf(s61,plain,
( spl2_17
| ~ spl2_11
| spl2_6
| spl2_1 ),
inference(rat,[],[s27,s18,s19,s20]) ).
cnf(s62,plain,
( spl2_16
| ~ spl2_11
| spl2_6
| spl2_1 ),
inference(rat,[],[s27,s14,s15,s16]) ).
cnf(s63,plain,
( ~ spl2_11
| spl2_6
| spl2_1 ),
inference(rat,[],[s27,s10,s11,s12,s28,s62,s61,s60]) ).
cnf(s64,plain,
( spl2_11
| spl2_6
| spl2_1 ),
inference(rat,[],[s28,s13,s17,s21,s9]) ).
cnf(s65,plain,
( spl2_6
| spl2_1 ),
inference(rat,[],[s64,s63]) ).
cnf(s66,plain,
~ spl2_6,
inference(rat,[],[s26,s5,s6,s7,s8]) ).
cnf(s67,plain,
spl2_1,
inference(rat,[],[s65,s66]) ).
cnf(s68,plain,
spl2_4,
inference(rat,[],[s3,s67]) ).
cnf(s69,plain,
spl2_3,
inference(rat,[],[s2,s67]) ).
cnf(s70,plain,
spl2_2,
inference(rat,[],[s1,s67]) ).
cnf(s71,plain,
$false,
inference(rat,[],[s58,s68,s69,s70]) ).
fof(f673,plain,
$false,
inference(avatar_sat_refutation,[],[s71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG014+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.18 % Computer : n003.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 19:19:13 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.21 Running first-order model finding
% 0.06/0.21 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
% 0.06/0.26 % (1894669)Will run a generic schedule for satisfiability detection.
% 0.06/0.26 % (1894678)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=167323241:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.26 % (1894675)% WARNING: option uhcvi not known.
% 0.06/0.26 % (1894678) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1894669-1894678"...
% 0.06/0.26 % (1894678)...printing done.
% 0.06/0.26 % (1894674)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2317823628_2999 on theBenchmark for (2999ds/0Mi)
% 0.06/0.26 % (1894678)Refutation found. Thanks to Tanya!
% 0.06/0.26 % SZS status Theorem for theBenchmark
% 0.06/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.26 % (1894678)------------------------------
% 0.21/0.26 % (1894678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.26 % (1894678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.26 % (1894678)CaDiCaL version: 2.1.3
% 0.21/0.26 % (1894678)Termination reason: Refutation
% 0.21/0.26 % (1894678)Time elapsed: 0.005 s
% 0.21/0.26 % (1894678)Peak memory usage: 12 MB
% 0.21/0.26 % (1894678)Instructions burned: 17 (million)
% 0.21/0.26 % (1894669)Success in time 0.042 s
% 0.21/0.26 % Vampire exiting
%------------------------------------------------------------------------------