%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ078+1 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:31:31 PM UTC 2026
% Result : Theorem 2.89s 1.29s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 44
% Syntax : Number of formulae : 314 ( 48 unt; 26 def)
% Number of atoms : 816 ( 120 equ)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 932 ( 430 ~; 423 |; 41 &)
% ( 34 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 27 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-1 aty)
% Number of variables : 62 ( 0 sgn 58 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( X0 = monday
| X0 = tuesday
| X0 = wednesday
| X0 = thursday
| X0 = friday
| X0 = saturday
| X0 = sunday ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',days_of_week) ).
fof(f2,axiom,
( monday != tuesday
& monday != wednesday
& monday != thursday
& monday != friday
& monday != saturday
& monday != sunday
& tuesday != wednesday
& tuesday != thursday
& tuesday != friday
& tuesday != saturday
& tuesday != sunday
& wednesday != thursday
& wednesday != friday
& wednesday != saturday
& wednesday != sunday
& thursday != friday
& thursday != saturday
& thursday != sunday
& friday != saturday
& friday != sunday
& saturday != sunday ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uniquenames) ).
fof(f3,axiom,
! [X0,X1] :
( ( truthday(X0)
& truthday(X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truth_unique) ).
fof(f7,axiom,
? [X0] : truthday(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truth_once) ).
fof(f8,axiom,
? [X0] : day1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',day1_once) ).
fof(f9,axiom,
? [X0] : day2(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',day2_once) ).
fof(f10,axiom,
? [X0] : day3(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',day3_once) ).
fof(f11,axiom,
consecutive(sunday) = monday,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_follows_sunday) ).
fof(f14,axiom,
consecutive(wednesday) = thursday,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
fof(f15,axiom,
consecutive(thursday) = friday,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_follows_thursday) ).
fof(f16,axiom,
consecutive(friday) = saturday,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',saturday_follows_friday) ).
fof(f17,axiom,
consecutive(saturday) = sunday,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_follows_saturday) ).
fof(f18,axiom,
! [X0] :
( day1(X0)
<=> day2(consecutive(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',day2_follows_day1) ).
fof(f19,axiom,
! [X0] :
( day2(X0)
<=> day3(consecutive(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',day3_follows_day2) ).
fof(f20,axiom,
! [X0] :
( day1(X0)
=> ( truthday(X0)
<=> ( ~ truthday(monday)
& ~ truthday(tuesday) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',statement1) ).
fof(f21,axiom,
! [X0] :
( day2(X0)
=> ( truthday(X0)
<=> ( day2(thursday)
| day2(saturday)
| day2(sunday) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',statement2) ).
fof(f22,axiom,
! [X0] :
( day3(X0)
=> ( truthday(X0)
<=> ( ~ truthday(wednesday)
& ~ truthday(friday) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',statement3) ).
fof(f23,conjecture,
truthday(tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_leo_tells_truths) ).
fof(f24,negated_conjecture,
~ truthday(tuesday),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f25,plain,
~ truthday(tuesday),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( X0 = X1
| ~ truthday(X0)
| ~ truthday(X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f27,plain,
! [X0,X1] :
( X0 = X1
| ~ truthday(X0)
| ~ truthday(X1) ),
inference(flattening,[],[f26]) ).
fof(f34,plain,
! [X0] :
( ( truthday(X0)
<=> ( ~ truthday(monday)
& ~ truthday(tuesday) ) )
| ~ day1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f35,plain,
! [X0] :
( ( truthday(X0)
<=> ( day2(thursday)
| day2(saturday)
| day2(sunday) ) )
| ~ day2(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f36,plain,
! [X0] :
( ( truthday(X0)
<=> ( ~ truthday(wednesday)
& ~ truthday(friday) ) )
| ~ day3(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f37,plain,
truthday(sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f7]) ).
fof(f38,plain,
day1(sK1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f8]) ).
fof(f39,plain,
day2(sK2),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f9]) ).
fof(f40,plain,
day3(sK3),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f10]) ).
fof(f41,plain,
! [X0] :
( ( day1(X0)
| ~ day2(consecutive(X0)) )
& ( day2(consecutive(X0))
| ~ day1(X0) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f42,plain,
! [X0] :
( ( day2(X0)
| ~ day3(consecutive(X0)) )
& ( day3(consecutive(X0))
| ~ day2(X0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f43,plain,
! [X0] :
( ( ( truthday(X0)
| truthday(monday)
| truthday(tuesday) )
& ( ( ~ truthday(monday)
& ~ truthday(tuesday) )
| ~ truthday(X0) ) )
| ~ day1(X0) ),
inference(nnf_transformation,[],[f34]) ).
fof(f44,plain,
! [X0] :
( ( ( truthday(X0)
| truthday(monday)
| truthday(tuesday) )
& ( ( ~ truthday(monday)
& ~ truthday(tuesday) )
| ~ truthday(X0) ) )
| ~ day1(X0) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0] :
( ( ( truthday(X0)
| ( ~ day2(thursday)
& ~ day2(saturday)
& ~ day2(sunday) ) )
& ( day2(thursday)
| day2(saturday)
| day2(sunday)
| ~ truthday(X0) ) )
| ~ day2(X0) ),
inference(nnf_transformation,[],[f35]) ).
fof(f46,plain,
! [X0] :
( ( ( truthday(X0)
| ( ~ day2(thursday)
& ~ day2(saturday)
& ~ day2(sunday) ) )
& ( day2(thursday)
| day2(saturday)
| day2(sunday)
| ~ truthday(X0) ) )
| ~ day2(X0) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0] :
( ( ( truthday(X0)
| truthday(wednesday)
| truthday(friday) )
& ( ( ~ truthday(wednesday)
& ~ truthday(friday) )
| ~ truthday(X0) ) )
| ~ day3(X0) ),
inference(nnf_transformation,[],[f36]) ).
fof(f48,plain,
! [X0] :
( ( ( truthday(X0)
| truthday(wednesday)
| truthday(friday) )
& ( ( ~ truthday(wednesday)
& ~ truthday(friday) )
| ~ truthday(X0) ) )
| ~ day3(X0) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0] :
( tuesday = X0
| monday = X0
| wednesday = X0
| thursday = X0
| friday = X0
| saturday = X0
| sunday = X0 ),
inference(cnf_transformation,[],[f1]) ).
fof(f50,plain,
saturday != sunday,
inference(cnf_transformation,[],[f2]) ).
fof(f52,plain,
friday != saturday,
inference(cnf_transformation,[],[f2]) ).
fof(f54,plain,
thursday != saturday,
inference(cnf_transformation,[],[f2]) ).
fof(f59,plain,
wednesday != thursday,
inference(cnf_transformation,[],[f2]) ).
fof(f65,plain,
monday != sunday,
inference(cnf_transformation,[],[f2]) ).
fof(f67,plain,
monday != friday,
inference(cnf_transformation,[],[f2]) ).
fof(f69,plain,
monday != wednesday,
inference(cnf_transformation,[],[f2]) ).
fof(f71,plain,
! [X0,X1] :
( ~ truthday(X0)
| X0 = X1
| ~ truthday(X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f75,plain,
truthday(sK0),
inference(cnf_transformation,[],[f37]) ).
fof(f76,plain,
day1(sK1),
inference(cnf_transformation,[],[f38]) ).
fof(f77,plain,
day2(sK2),
inference(cnf_transformation,[],[f39]) ).
fof(f78,plain,
day3(sK3),
inference(cnf_transformation,[],[f40]) ).
fof(f79,plain,
monday = consecutive(sunday),
inference(cnf_transformation,[],[f11]) ).
fof(f82,plain,
thursday = consecutive(wednesday),
inference(cnf_transformation,[],[f14]) ).
fof(f83,plain,
friday = consecutive(thursday),
inference(cnf_transformation,[],[f15]) ).
fof(f84,plain,
saturday = consecutive(friday),
inference(cnf_transformation,[],[f16]) ).
fof(f85,plain,
sunday = consecutive(saturday),
inference(cnf_transformation,[],[f17]) ).
fof(f86,plain,
! [X0] :
( ~ day1(X0)
| day2(consecutive(X0)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f88,plain,
! [X0] :
( ~ day2(X0)
| day3(consecutive(X0)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f89,plain,
! [X0] :
( day2(X0)
| ~ day3(consecutive(X0)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f92,plain,
! [X0] :
( truthday(X0)
| truthday(monday)
| truthday(tuesday)
| ~ day1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f93,plain,
! [X0] :
( day2(thursday)
| day2(saturday)
| day2(sunday)
| ~ truthday(X0)
| ~ day2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f94,plain,
! [X0] :
( truthday(X0)
| ~ day2(sunday)
| ~ day2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f95,plain,
! [X0] :
( truthday(X0)
| ~ day2(saturday)
| ~ day2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f96,plain,
! [X0] :
( truthday(X0)
| ~ day2(thursday)
| ~ day2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f97,plain,
! [X0] :
( ~ truthday(friday)
| ~ truthday(X0)
| ~ day3(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f98,plain,
! [X0] :
( ~ truthday(wednesday)
| ~ truthday(X0)
| ~ day3(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f99,plain,
! [X0] :
( truthday(X0)
| truthday(wednesday)
| truthday(friday)
| ~ day3(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f100,plain,
~ truthday(tuesday),
inference(cnf_transformation,[],[f25]) ).
fof(f102,definition,
( spl4_1
<=> ! [X0] :
( ~ truthday(X0)
| ~ day3(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f103,plain,
( ! [X0] :
( ~ day3(X0)
| ~ truthday(X0) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,definition,
( spl4_2
<=> truthday(friday) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f106,plain,
( truthday(friday)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f107,plain,
( ~ truthday(friday)
| spl4_2 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f97,f105,f102]) ).
fof(f110,definition,
( spl4_3
<=> truthday(wednesday) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f111,plain,
( truthday(wednesday)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f112,plain,
( ~ truthday(wednesday)
| spl4_3 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl4_1
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f98,f110,f102]) ).
fof(f115,definition,
( spl4_4
<=> ! [X0] :
( truthday(X0)
| ~ day3(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f116,plain,
( ! [X0] :
( ~ day3(X0)
| truthday(X0) )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f117,plain,
( spl4_2
| spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f99,f115,f110,f105]) ).
fof(f119,definition,
( spl4_5
<=> ! [X0] :
( ~ truthday(X0)
| ~ day2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f120,plain,
( ! [X0] :
( ~ day2(X0)
| ~ truthday(X0) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,definition,
( spl4_6
<=> day2(sunday) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f123,plain,
( ~ day2(sunday)
| spl4_6 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f124,plain,
( day2(sunday)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f126,definition,
( spl4_7
<=> day2(saturday) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f127,plain,
( ~ day2(saturday)
| spl4_7 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f128,plain,
( day2(saturday)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f130,definition,
( spl4_8
<=> day2(thursday) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f131,plain,
( ~ day2(thursday)
| spl4_8 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f132,plain,
( day2(thursday)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,plain,
( spl4_5
| spl4_6
| spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f93,f130,f126,f122,f119]) ).
fof(f135,definition,
( spl4_9
<=> ! [X0] :
( truthday(X0)
| ~ day2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f136,plain,
( ! [X0] :
( ~ day2(X0)
| truthday(X0) )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f137,plain,
( ~ spl4_6
| spl4_9 ),
inference(avatar_split_clause,[],[f94,f135,f122]) ).
fof(f138,plain,
( ~ spl4_7
| spl4_9 ),
inference(avatar_split_clause,[],[f95,f135,f126]) ).
fof(f139,plain,
( ~ spl4_8
| spl4_9 ),
inference(avatar_split_clause,[],[f96,f135,f130]) ).
fof(f144,definition,
( spl4_11
<=> truthday(tuesday) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f146,plain,
( ~ truthday(tuesday)
| spl4_11 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f149,definition,
( spl4_12
<=> truthday(monday) ),
introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).
fof(f150,plain,
( truthday(monday)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f151,plain,
( ~ truthday(monday)
| spl4_12 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f154,definition,
( spl4_13
<=> ! [X0] :
( truthday(X0)
| ~ day1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).
fof(f155,plain,
( ! [X0] :
( ~ day1(X0)
| truthday(X0) )
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f156,plain,
( spl4_11
| spl4_12
| spl4_13 ),
inference(avatar_split_clause,[],[f92,f154,f149,f144]) ).
fof(f157,plain,
~ spl4_11,
inference(avatar_split_clause,[],[f100,f144]) ).
fof(f158,plain,
( truthday(sK3)
| ~ spl4_4 ),
inference(resolution,[],[f116,f78]) ).
fof(f161,plain,
! [X0] :
( sK0 = X0
| ~ truthday(X0) ),
inference(resolution,[],[f71,f75]) ).
fof(f162,plain,
( ! [X0] :
( ~ truthday(X0)
| monday = X0 )
| ~ spl4_12 ),
inference(resolution,[],[f71,f150]) ).
fof(f170,plain,
( truthday(tuesday)
| monday = sK0
| wednesday = sK0
| thursday = sK0
| friday = sK0
| saturday = sK0
| sunday = sK0 ),
inference(superposition,[],[f75,f49]) ).
fof(f184,definition,
( spl4_14
<=> sunday = sK3 ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
fof(f185,plain,
( sunday != sK3
| spl4_14 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f186,plain,
( sunday = sK3
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f204,definition,
( spl4_19
<=> monday = sK3 ),
introduced(definition,[new_symbols(definition,[spl4_19])],[avatar_definition]) ).
fof(f206,plain,
( monday = sK3
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f214,definition,
( spl4_21
<=> sunday = sK2 ),
introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition]) ).
fof(f215,plain,
( sunday != sK2
| spl4_21 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f216,plain,
( sunday = sK2
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f247,definition,
( spl4_29
<=> saturday = sK1 ),
introduced(definition,[new_symbols(definition,[spl4_29])],[avatar_definition]) ).
fof(f249,plain,
( saturday = sK1
| ~ spl4_29 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl4_30
<=> friday = sK1 ),
introduced(definition,[new_symbols(definition,[spl4_30])],[avatar_definition]) ).
fof(f253,plain,
( friday = sK1
| ~ spl4_30 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl4_31
<=> thursday = sK1 ),
introduced(definition,[new_symbols(definition,[spl4_31])],[avatar_definition]) ).
fof(f257,plain,
( thursday = sK1
| ~ spl4_31 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f259,definition,
( spl4_32
<=> wednesday = sK1 ),
introduced(definition,[new_symbols(definition,[spl4_32])],[avatar_definition]) ).
fof(f261,plain,
( wednesday = sK1
| ~ spl4_32 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f271,plain,
( monday = sK0
| wednesday = sK0
| thursday = sK0
| friday = sK0
| saturday = sK0
| sunday = sK0
| spl4_11 ),
inference(forward_subsumption_resolution,[],[f170,f146]) ).
fof(f274,definition,
( spl4_35
<=> sunday = sK0 ),
introduced(definition,[new_symbols(definition,[spl4_35])],[avatar_definition]) ).
fof(f276,plain,
( sunday = sK0
| ~ spl4_35 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f278,definition,
( spl4_36
<=> saturday = sK0 ),
introduced(definition,[new_symbols(definition,[spl4_36])],[avatar_definition]) ).
fof(f280,plain,
( saturday = sK0
| ~ spl4_36 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f282,definition,
( spl4_37
<=> friday = sK0 ),
introduced(definition,[new_symbols(definition,[spl4_37])],[avatar_definition]) ).
fof(f284,plain,
( friday = sK0
| ~ spl4_37 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f286,definition,
( spl4_38
<=> thursday = sK0 ),
introduced(definition,[new_symbols(definition,[spl4_38])],[avatar_definition]) ).
fof(f288,plain,
( thursday = sK0
| ~ spl4_38 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f290,definition,
( spl4_39
<=> wednesday = sK0 ),
introduced(definition,[new_symbols(definition,[spl4_39])],[avatar_definition]) ).
fof(f292,plain,
( wednesday = sK0
| ~ spl4_39 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f294,definition,
( spl4_40
<=> monday = sK0 ),
introduced(definition,[new_symbols(definition,[spl4_40])],[avatar_definition]) ).
fof(f296,plain,
( monday = sK0
| ~ spl4_40 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f297,plain,
( spl4_35
| spl4_36
| spl4_37
| spl4_38
| spl4_39
| spl4_40
| spl4_11 ),
inference(avatar_split_clause,[],[f271,f144,f294,f290,f286,f282,f278,f274]) ).
fof(f305,plain,
( day3(sunday)
| ~ spl4_14 ),
inference(superposition,[],[f78,f186]) ).
fof(f311,plain,
( day2(sunday)
| ~ spl4_21 ),
inference(superposition,[],[f77,f216]) ).
fof(f312,plain,
( $false
| spl4_6
| ~ spl4_21 ),
inference(forward_subsumption_resolution,[],[f311,f123]) ).
fof(f313,plain,
( spl4_6
| ~ spl4_21 ),
inference(avatar_contradiction_clause,[],[f312]) ).
fof(f326,plain,
( ! [X0] : ~ day2(X0)
| ~ spl4_5
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f136,f120]) ).
fof(f329,plain,
( $false
| ~ spl4_5
| ~ spl4_9 ),
inference(resolution,[],[f326,f77]) ).
fof(f332,plain,
( ~ spl4_5
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f343,plain,
( ~ day3(consecutive(saturday))
| spl4_7 ),
inference(resolution,[],[f89,f127]) ).
fof(f344,plain,
( ~ day3(consecutive(sunday))
| spl4_6 ),
inference(resolution,[],[f89,f123]) ).
fof(f345,plain,
( ~ day3(monday)
| spl4_6 ),
inference(forward_demodulation,[],[f344,f79]) ).
fof(f346,plain,
( ~ day3(sunday)
| spl4_7 ),
inference(forward_demodulation,[],[f343,f85]) ).
fof(f348,plain,
( $false
| spl4_7
| ~ spl4_14 ),
inference(forward_subsumption_resolution,[],[f346,f305]) ).
fof(f349,plain,
( spl4_7
| ~ spl4_14 ),
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f354,plain,
( monday = sK3
| ~ spl4_4
| ~ spl4_12 ),
inference(resolution,[],[f162,f158]) ).
fof(f355,plain,
( spl4_19
| ~ spl4_4
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f354,f149,f115,f204]) ).
fof(f365,plain,
( truthday(monday)
| ~ spl4_40 ),
inference(superposition,[],[f75,f296]) ).
fof(f390,plain,
( monday = friday
| ~ spl4_2
| ~ spl4_12 ),
inference(resolution,[],[f106,f162]) ).
fof(f391,plain,
( ! [X0] :
( ~ truthday(X0)
| friday = X0 )
| ~ spl4_2 ),
inference(resolution,[],[f106,f71]) ).
fof(f392,plain,
( $false
| ~ spl4_2
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f390,f67]) ).
fof(f393,plain,
( ~ spl4_2
| ~ spl4_12 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f395,plain,
( spl4_12
| ~ spl4_40 ),
inference(avatar_split_clause,[],[f365,f294,f149]) ).
fof(f403,plain,
( truthday(sK1)
| ~ spl4_13 ),
inference(resolution,[],[f155,f76]) ).
fof(f418,plain,
( truthday(friday)
| ~ spl4_37 ),
inference(superposition,[],[f75,f284]) ).
fof(f424,plain,
( day3(monday)
| ~ spl4_19 ),
inference(superposition,[],[f78,f206]) ).
fof(f425,plain,
( $false
| spl4_6
| ~ spl4_19 ),
inference(forward_subsumption_resolution,[],[f424,f345]) ).
fof(f426,plain,
( spl4_6
| ~ spl4_19 ),
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f436,plain,
( friday = sK1
| ~ spl4_2
| ~ spl4_13 ),
inference(resolution,[],[f391,f403]) ).
fof(f437,plain,
( spl4_30
| ~ spl4_2
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f436,f154,f105,f251]) ).
fof(f545,plain,
( day1(friday)
| ~ spl4_30 ),
inference(superposition,[],[f76,f253]) ).
fof(f553,plain,
( day2(consecutive(friday))
| ~ spl4_30 ),
inference(resolution,[],[f545,f86]) ).
fof(f554,plain,
( day2(saturday)
| ~ spl4_30 ),
inference(forward_demodulation,[],[f553,f84]) ).
fof(f555,plain,
( $false
| spl4_7
| ~ spl4_30 ),
inference(forward_subsumption_resolution,[],[f554,f127]) ).
fof(f556,plain,
( spl4_7
| ~ spl4_30 ),
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f557,plain,
( spl4_7
| ~ spl4_30 ),
inference(avatar_split_clause,[],[f554,f251,f126]) ).
fof(f559,plain,
( day3(consecutive(saturday))
| ~ spl4_7 ),
inference(resolution,[],[f128,f88]) ).
fof(f560,plain,
( day3(sunday)
| ~ spl4_7 ),
inference(forward_demodulation,[],[f559,f85]) ).
fof(f565,plain,
( truthday(saturday)
| ~ spl4_7
| ~ spl4_9 ),
inference(resolution,[],[f136,f128]) ).
fof(f566,plain,
( truthday(sK2)
| ~ spl4_9 ),
inference(resolution,[],[f136,f77]) ).
fof(f580,plain,
( friday = saturday
| ~ spl4_2
| ~ spl4_7
| ~ spl4_9 ),
inference(resolution,[],[f565,f391]) ).
fof(f582,plain,
( $false
| ~ spl4_2
| ~ spl4_7
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f580,f52]) ).
fof(f583,plain,
( ~ spl4_2
| ~ spl4_7
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f582]) ).
fof(f584,plain,
( ! [X0] : ~ day3(X0)
| ~ spl4_1
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f116,f103]) ).
fof(f585,plain,
( spl4_2
| ~ spl4_37 ),
inference(avatar_split_clause,[],[f418,f282,f105]) ).
fof(f593,definition,
( spl4_46
<=> day3(monday) ),
introduced(definition,[new_symbols(definition,[spl4_46])],[avatar_definition]) ).
fof(f595,plain,
( day3(monday)
| ~ spl4_46 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f601,plain,
( truthday(sunday)
| ~ spl4_6
| ~ spl4_9 ),
inference(resolution,[],[f124,f136]) ).
fof(f603,plain,
( day3(consecutive(sunday))
| ~ spl4_6 ),
inference(resolution,[],[f124,f88]) ).
fof(f604,plain,
( day3(monday)
| ~ spl4_6 ),
inference(forward_demodulation,[],[f603,f79]) ).
fof(f605,plain,
( spl4_46
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f604,f122,f593]) ).
fof(f606,plain,
( ! [X0] :
( ~ truthday(X0)
| monday = X0 )
| ~ spl4_12 ),
inference(resolution,[],[f150,f71]) ).
fof(f609,plain,
( $false
| ~ spl4_1
| ~ spl4_4 ),
inference(resolution,[],[f584,f78]) ).
fof(f610,plain,
( ~ spl4_1
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f609]) ).
fof(f612,plain,
( truthday(sunday)
| ~ spl4_4
| ~ spl4_7 ),
inference(resolution,[],[f116,f560]) ).
fof(f644,plain,
( truthday(monday)
| ~ spl4_4
| ~ spl4_46 ),
inference(resolution,[],[f595,f116]) ).
fof(f649,plain,
( monday = sunday
| ~ spl4_6
| ~ spl4_9
| ~ spl4_12 ),
inference(resolution,[],[f606,f601]) ).
fof(f654,plain,
( $false
| ~ spl4_6
| ~ spl4_9
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f649,f65]) ).
fof(f655,plain,
( ~ spl4_6
| ~ spl4_9
| ~ spl4_12 ),
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f661,plain,
( monday = wednesday
| ~ spl4_3
| ~ spl4_12 ),
inference(resolution,[],[f111,f606]) ).
fof(f663,plain,
( $false
| ~ spl4_3
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f661,f69]) ).
fof(f664,plain,
( ~ spl4_3
| ~ spl4_12 ),
inference(avatar_contradiction_clause,[],[f663]) ).
fof(f675,plain,
( truthday(thursday)
| ~ spl4_8
| ~ spl4_9 ),
inference(resolution,[],[f132,f136]) ).
fof(f677,plain,
( day3(consecutive(thursday))
| ~ spl4_8 ),
inference(resolution,[],[f132,f88]) ).
fof(f678,plain,
( day3(friday)
| ~ spl4_8 ),
inference(forward_demodulation,[],[f677,f83]) ).
fof(f707,plain,
( ! [X0] :
( ~ truthday(X0)
| sunday = X0 )
| ~ spl4_35 ),
inference(forward_demodulation,[],[f161,f276]) ).
fof(f713,plain,
( sunday = sK2
| ~ spl4_9
| ~ spl4_35 ),
inference(resolution,[],[f707,f566]) ).
fof(f714,plain,
( sunday = sK3
| ~ spl4_4
| ~ spl4_35 ),
inference(resolution,[],[f707,f158]) ).
fof(f715,plain,
( $false
| ~ spl4_4
| spl4_14
| ~ spl4_35 ),
inference(forward_subsumption_resolution,[],[f714,f185]) ).
fof(f716,plain,
( ~ spl4_4
| spl4_14
| ~ spl4_35 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f717,plain,
( $false
| ~ spl4_9
| spl4_21
| ~ spl4_35 ),
inference(forward_subsumption_resolution,[],[f713,f215]) ).
fof(f718,plain,
( ~ spl4_9
| spl4_21
| ~ spl4_35 ),
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f730,plain,
( truthday(friday)
| ~ spl4_4
| ~ spl4_8 ),
inference(resolution,[],[f678,f116]) ).
fof(f732,plain,
( $false
| spl4_2
| ~ spl4_4
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f730,f107]) ).
fof(f733,plain,
( spl4_2
| ~ spl4_4
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f732]) ).
fof(f734,plain,
( $false
| ~ spl4_4
| spl4_12
| ~ spl4_46 ),
inference(forward_subsumption_resolution,[],[f644,f151]) ).
fof(f735,plain,
( ~ spl4_4
| spl4_12
| ~ spl4_46 ),
inference(avatar_contradiction_clause,[],[f734]) ).
fof(f748,plain,
( ! [X0] :
( ~ truthday(X0)
| thursday = X0 )
| ~ spl4_38 ),
inference(forward_demodulation,[],[f161,f288]) ).
fof(f750,plain,
( thursday = saturday
| ~ spl4_7
| ~ spl4_9
| ~ spl4_38 ),
inference(resolution,[],[f748,f565]) ).
fof(f752,plain,
( thursday = sK1
| ~ spl4_13
| ~ spl4_38 ),
inference(resolution,[],[f748,f403]) ).
fof(f758,plain,
( spl4_31
| ~ spl4_13
| ~ spl4_38 ),
inference(avatar_split_clause,[],[f752,f286,f154,f255]) ).
fof(f759,plain,
( $false
| ~ spl4_7
| ~ spl4_9
| ~ spl4_38 ),
inference(forward_subsumption_resolution,[],[f750,f54]) ).
fof(f760,plain,
( ~ spl4_7
| ~ spl4_9
| ~ spl4_38 ),
inference(avatar_contradiction_clause,[],[f759]) ).
fof(f769,plain,
( truthday(wednesday)
| ~ spl4_39 ),
inference(superposition,[],[f75,f292]) ).
fof(f770,plain,
( $false
| spl4_3
| ~ spl4_39 ),
inference(forward_subsumption_resolution,[],[f769,f112]) ).
fof(f771,plain,
( spl4_3
| ~ spl4_39 ),
inference(avatar_contradiction_clause,[],[f770]) ).
fof(f786,plain,
( ! [X0] :
( ~ truthday(X0)
| saturday = X0 )
| ~ spl4_36 ),
inference(forward_demodulation,[],[f161,f280]) ).
fof(f788,plain,
( saturday = sunday
| ~ spl4_4
| ~ spl4_7
| ~ spl4_36 ),
inference(resolution,[],[f786,f612]) ).
fof(f790,plain,
( saturday = sK1
| ~ spl4_13
| ~ spl4_36 ),
inference(resolution,[],[f786,f403]) ).
fof(f796,plain,
( spl4_29
| ~ spl4_13
| ~ spl4_36 ),
inference(avatar_split_clause,[],[f790,f278,f154,f247]) ).
fof(f797,plain,
( $false
| ~ spl4_4
| ~ spl4_7
| ~ spl4_36 ),
inference(forward_subsumption_resolution,[],[f788,f50]) ).
fof(f798,plain,
( ~ spl4_4
| ~ spl4_7
| ~ spl4_36 ),
inference(avatar_contradiction_clause,[],[f797]) ).
fof(f808,plain,
( ! [X0] :
( ~ truthday(X0)
| wednesday = X0 )
| ~ spl4_3 ),
inference(resolution,[],[f111,f71]) ).
fof(f831,plain,
( wednesday = sK1
| ~ spl4_3
| ~ spl4_13 ),
inference(resolution,[],[f808,f403]) ).
fof(f834,plain,
( spl4_32
| ~ spl4_3
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f831,f154,f110,f259]) ).
fof(f843,plain,
( wednesday = thursday
| ~ spl4_3
| ~ spl4_8
| ~ spl4_9 ),
inference(resolution,[],[f675,f808]) ).
fof(f845,plain,
( $false
| ~ spl4_3
| ~ spl4_8
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f843,f59]) ).
fof(f846,plain,
( ~ spl4_3
| ~ spl4_8
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f924,plain,
( day1(saturday)
| ~ spl4_29 ),
inference(superposition,[],[f76,f249]) ).
fof(f939,plain,
( day1(wednesday)
| ~ spl4_32 ),
inference(superposition,[],[f76,f261]) ).
fof(f942,plain,
( day2(consecutive(wednesday))
| ~ spl4_32 ),
inference(resolution,[],[f939,f86]) ).
fof(f943,plain,
( day2(thursday)
| ~ spl4_32 ),
inference(forward_demodulation,[],[f942,f82]) ).
fof(f944,plain,
( $false
| spl4_8
| ~ spl4_32 ),
inference(forward_subsumption_resolution,[],[f943,f131]) ).
fof(f945,plain,
( spl4_8
| ~ spl4_32 ),
inference(avatar_contradiction_clause,[],[f944]) ).
fof(f999,plain,
( day2(consecutive(saturday))
| ~ spl4_29 ),
inference(resolution,[],[f924,f86]) ).
fof(f1000,plain,
( day2(sunday)
| ~ spl4_29 ),
inference(forward_demodulation,[],[f999,f85]) ).
fof(f1001,plain,
( $false
| spl4_6
| ~ spl4_29 ),
inference(forward_subsumption_resolution,[],[f1000,f123]) ).
fof(f1002,plain,
( spl4_6
| ~ spl4_29 ),
inference(avatar_contradiction_clause,[],[f1001]) ).
fof(f1021,plain,
( ! [X0] :
( ~ truthday(X0)
| thursday = X0 )
| ~ spl4_38 ),
inference(forward_demodulation,[],[f161,f288]) ).
fof(f1063,plain,
( day1(thursday)
| ~ spl4_31 ),
inference(superposition,[],[f76,f257]) ).
fof(f1066,plain,
( day2(consecutive(thursday))
| ~ spl4_31 ),
inference(resolution,[],[f1063,f86]) ).
fof(f1067,plain,
( day2(friday)
| ~ spl4_31 ),
inference(forward_demodulation,[],[f1066,f83]) ).
fof(f1071,plain,
( day3(consecutive(friday))
| ~ spl4_31 ),
inference(resolution,[],[f1067,f88]) ).
fof(f1072,plain,
( day3(saturday)
| ~ spl4_31 ),
inference(forward_demodulation,[],[f1071,f84]) ).
fof(f1075,plain,
( truthday(saturday)
| ~ spl4_4
| ~ spl4_31 ),
inference(resolution,[],[f1072,f116]) ).
fof(f1079,plain,
( thursday = saturday
| ~ spl4_4
| ~ spl4_31
| ~ spl4_38 ),
inference(resolution,[],[f1075,f1021]) ).
fof(f1081,plain,
( $false
| ~ spl4_4
| ~ spl4_31
| ~ spl4_38 ),
inference(forward_subsumption_resolution,[],[f1079,f54]) ).
fof(f1082,plain,
( ~ spl4_4
| ~ spl4_31
| ~ spl4_38 ),
inference(avatar_contradiction_clause,[],[f1081]) ).
cnf(s1,plain,
( spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f108]) ).
cnf(s2,plain,
( spl4_1
| ~ spl4_3 ),
inference(sat_conversion,[],[f113]) ).
cnf(s3,plain,
( spl4_2
| spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f117]) ).
cnf(s4,plain,
( spl4_5
| spl4_6
| spl4_7
| spl4_8 ),
inference(sat_conversion,[],[f133]) ).
cnf(s5,plain,
( ~ spl4_6
| spl4_9 ),
inference(sat_conversion,[],[f137]) ).
cnf(s6,plain,
( ~ spl4_7
| spl4_9 ),
inference(sat_conversion,[],[f138]) ).
cnf(s7,plain,
( ~ spl4_8
| spl4_9 ),
inference(sat_conversion,[],[f139]) ).
cnf(s10,plain,
( spl4_11
| spl4_12
| spl4_13 ),
inference(sat_conversion,[],[f156]) ).
cnf(s11,plain,
~ spl4_11,
inference(sat_conversion,[],[f157]) ).
cnf(s16,plain,
( spl4_11
| spl4_35
| spl4_36
| spl4_37
| spl4_38
| spl4_39
| spl4_40 ),
inference(sat_conversion,[],[f297]) ).
cnf(s17,plain,
( spl4_6
| ~ spl4_21 ),
inference(sat_conversion,[],[f313]) ).
cnf(s22,plain,
( ~ spl4_5
| ~ spl4_9 ),
inference(sat_conversion,[],[f332]) ).
cnf(s23,plain,
( spl4_7
| ~ spl4_14 ),
inference(sat_conversion,[],[f349]) ).
cnf(s24,plain,
( ~ spl4_4
| ~ spl4_12
| spl4_19 ),
inference(sat_conversion,[],[f355]) ).
cnf(s29,plain,
( ~ spl4_2
| ~ spl4_12 ),
inference(sat_conversion,[],[f393]) ).
cnf(s30,plain,
( spl4_12
| ~ spl4_40 ),
inference(sat_conversion,[],[f395]) ).
cnf(s34,plain,
( spl4_6
| ~ spl4_19 ),
inference(sat_conversion,[],[f426]) ).
cnf(s37,plain,
( ~ spl4_2
| ~ spl4_13
| spl4_30 ),
inference(sat_conversion,[],[f437]) ).
cnf(s44,plain,
( spl4_7
| ~ spl4_30 ),
inference(sat_conversion,[],[f556]) ).
cnf(s45,plain,
( spl4_7
| ~ spl4_30 ),
inference(sat_conversion,[],[f557]) ).
cnf(s50,plain,
( ~ spl4_2
| ~ spl4_7
| ~ spl4_9 ),
inference(sat_conversion,[],[f583]) ).
cnf(s51,plain,
( spl4_2
| ~ spl4_37 ),
inference(sat_conversion,[],[f585]) ).
cnf(s59,plain,
( ~ spl4_6
| spl4_46 ),
inference(sat_conversion,[],[f605]) ).
cnf(s60,plain,
( ~ spl4_1
| ~ spl4_4 ),
inference(sat_conversion,[],[f610]) ).
cnf(s66,plain,
( ~ spl4_6
| ~ spl4_9
| ~ spl4_12 ),
inference(sat_conversion,[],[f655]) ).
cnf(s70,plain,
( ~ spl4_3
| ~ spl4_12 ),
inference(sat_conversion,[],[f664]) ).
cnf(s78,plain,
( ~ spl4_4
| spl4_14
| ~ spl4_35 ),
inference(sat_conversion,[],[f716]) ).
cnf(s79,plain,
( ~ spl4_9
| spl4_21
| ~ spl4_35 ),
inference(sat_conversion,[],[f718]) ).
cnf(s82,plain,
( spl4_2
| ~ spl4_4
| ~ spl4_8 ),
inference(sat_conversion,[],[f733]) ).
cnf(s84,plain,
( ~ spl4_4
| spl4_12
| ~ spl4_46 ),
inference(sat_conversion,[],[f735]) ).
cnf(s90,plain,
( ~ spl4_13
| spl4_31
| ~ spl4_38 ),
inference(sat_conversion,[],[f758]) ).
cnf(s91,plain,
( ~ spl4_7
| ~ spl4_9
| ~ spl4_38 ),
inference(sat_conversion,[],[f760]) ).
cnf(s92,plain,
( spl4_3
| ~ spl4_39 ),
inference(sat_conversion,[],[f771]) ).
cnf(s96,plain,
( ~ spl4_13
| spl4_29
| ~ spl4_36 ),
inference(sat_conversion,[],[f796]) ).
cnf(s97,plain,
( ~ spl4_4
| ~ spl4_7
| ~ spl4_36 ),
inference(sat_conversion,[],[f798]) ).
cnf(s104,plain,
( ~ spl4_3
| ~ spl4_13
| spl4_32 ),
inference(sat_conversion,[],[f834]) ).
cnf(s106,plain,
( ~ spl4_3
| ~ spl4_8
| ~ spl4_9 ),
inference(sat_conversion,[],[f846]) ).
cnf(s120,plain,
( spl4_8
| ~ spl4_32 ),
inference(sat_conversion,[],[f945]) ).
cnf(s130,plain,
( spl4_6
| ~ spl4_29 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s137,plain,
( ~ spl4_4
| ~ spl4_31
| ~ spl4_38 ),
inference(sat_conversion,[],[f1082]) ).
cnf(s138,plain,
( spl4_12
| spl4_13 ),
inference(rat,[],[s10,s11]) ).
cnf(s139,plain,
( spl4_6
| spl4_5
| spl4_1 ),
inference(rat,[],[s16,s79,s30,s91,s6,s97,s24,s4,s17,s34,s92,s51,s82,s3,s2,s1,s11]) ).
cnf(s140,plain,
( ~ spl4_6
| ~ spl4_4 ),
inference(rat,[],[s66,s84,s5,s59]) ).
cnf(s141,plain,
spl4_1,
inference(rat,[],[s137,s90,s16,s78,s23,s96,s6,s138,s30,s22,s24,s139,s34,s130,s140,s3,s51,s92,s1,s2,s11]) ).
cnf(s142,plain,
~ spl4_4,
inference(rat,[],[s60,s141]) ).
cnf(s143,plain,
( ~ spl4_3
| ~ spl4_13
| ~ spl4_9 ),
inference(rat,[],[s120,s104,s106]) ).
cnf(s144,plain,
( ~ spl4_13
| ~ spl4_9 ),
inference(rat,[],[s44,s50,s37,s3,s143,s142]) ).
cnf(s145,plain,
~ spl4_12,
inference(rat,[],[s3,s29,s70,s142]) ).
cnf(s147,plain,
spl4_13,
inference(rat,[],[s138,s145]) ).
cnf(s149,plain,
~ spl4_9,
inference(rat,[],[s144,s147]) ).
cnf(s150,plain,
~ spl4_8,
inference(rat,[],[s7,s149]) ).
cnf(s151,plain,
~ spl4_7,
inference(rat,[],[s6,s149]) ).
cnf(s152,plain,
~ spl4_32,
inference(rat,[],[s120,s150]) ).
cnf(s155,plain,
~ spl4_30,
inference(rat,[],[s45,s151]) ).
cnf(s158,plain,
~ spl4_3,
inference(rat,[],[s104,s147,s152]) ).
cnf(s164,plain,
~ spl4_2,
inference(rat,[],[s37,s147,s155]) ).
cnf(s166,plain,
$false,
inference(rat,[],[s3,s142,s158,s164]) ).
fof(f1083,plain,
$false,
inference(avatar_sat_refutation,[],[s166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ078+1 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 22:46:17 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.89/1.29 % (4037251)Detected formulas, will run a generic FOF schedule.
% 2.89/1.29 % (4037256)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=2382015619:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.89/1.29 % (4037261)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2456956984:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.89/1.29 % (4037260)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=927605501:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.89/1.29 % (4037262)dis-21_1_sil=8000:lcm=predicate:random_seed=2383211446: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)
% 2.89/1.29 % (4037259)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=412139305:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.89/1.29 % (4037257)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=1657895823:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.89/1.29 % (4037258)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=785006926:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.89/1.29 % (4037260)Refutation not found, incomplete strategy
% 2.89/1.29 % (4037260)------------------------------
% 2.89/1.29 % (4037260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.29 % (4037260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.29 % (4037260)CaDiCaL version: 2.1.3
% 2.89/1.29 % (4037260)Termination reason: Refutation not found, incomplete strategy
% 2.89/1.29 % (4037260)Time elapsed: 0.001 s
% 2.89/1.29 % (4037260)Peak memory usage: 87 MB
% 2.89/1.29 % (4037259)Refutation not found, incomplete strategy
% 2.89/1.29 % (4037259)------------------------------
% 2.89/1.29 % (4037259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.29 % (4037259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.29 % (4037259)CaDiCaL version: 2.1.3
% 2.89/1.29 % (4037259)Termination reason: Refutation not found, incomplete strategy
% 2.89/1.29 % (4037259)Time elapsed: 0.001 s
% 2.89/1.29 % (4037259)Peak memory usage: 88 MB
% 2.89/1.29 % (4037262)Refutation not found, incomplete strategy
% 2.89/1.29 % (4037262)------------------------------
% 2.89/1.29 % (4037262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.29 % (4037262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.29 % (4037262)CaDiCaL version: 2.1.3
% 2.89/1.29 % (4037262)Termination reason: Refutation not found, incomplete strategy
% 2.89/1.29 % (4037262)Time elapsed: 0.004 s
% 2.89/1.29 % (4037262)Peak memory usage: 88 MB
% 2.89/1.29 % (4037262)Instructions burned: 5 (million)
% 2.89/1.29 % (4037261)First to succeed.
% 2.89/1.29 % (4037261)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4037251"
% 2.89/1.29 % (4037262)------------------------------
% 2.89/1.29 % (4037262)------------------------------
% 2.89/1.29 % (4037259)------------------------------
% 2.89/1.29 % (4037259)------------------------------
% 2.89/1.29 % (4037260)------------------------------
% 2.89/1.29 % (4037260)------------------------------
% 2.89/1.29 % (4037261)Refutation found. Thanks to Tanya!
% 2.89/1.29 % SZS status Theorem for theBenchmark
% 2.89/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.48 % (4037261)------------------------------
% 3.67/1.48 % (4037261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.48 % (4037261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.48 % (4037261)CaDiCaL version: 2.1.3
% 3.67/1.48 % (4037261)Termination reason: Refutation
% 3.67/1.48 % (4037261)Time elapsed: 0.036 s
% 3.67/1.48 % (4037261)Peak memory usage: 90 MB
% 3.67/1.48 % (4037261)Instructions burned: 49 (million)
% 3.67/1.48 % (4037261)------------------------------
% 3.67/1.48 % (4037261)------------------------------
% 3.67/1.48 % (4037251)Success in time 0.437 s
% 3.67/1.48 % Vampire exiting
%------------------------------------------------------------------------------