%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ018_1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 12:31:55 PM UTC 2026
% Result : Theorem 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 38
% Syntax : Number of formulae : 167 ( 65 unt; 0 typ; 15 def)
% Number of atoms : 365 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 359 ( 161 ~; 175 |; 5 &)
% ( 15 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 21 ( 20 usr; 16 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
day: $tType ).
tff(type_def_6,type,
person: $tType ).
tff(func_def_0,type,
a: person ).
tff(func_def_1,type,
b: person ).
tff(func_def_2,type,
c: person ).
tff(func_def_3,type,
monday: day ).
tff(func_def_4,type,
tuesday: day ).
tff(func_def_5,type,
wednesday: day ).
tff(func_def_6,type,
thursday: day ).
tff(func_def_7,type,
friday: day ).
tff(func_def_8,type,
sunday: day ).
tff(func_def_9,type,
saturday: day ).
tff(pred_def_1,type,
all_on: day > $o ).
tff(pred_def_2,type,
on: ( person * day ) > $o ).
tff(pred_def_3,type,
consecutive: ( day * day ) > $o ).
tff(pred_def_4,type,
same_day: ( day * day ) > $o ).
tff(pred_def_5,type,
same_person: ( person * person ) > $o ).
tff(f1,axiom,
! [X0: day] :
( all_on(X0)
=> on(a,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_a_on) ).
tff(f2,axiom,
! [X0: day] :
( all_on(X0)
=> on(b,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_b_on) ).
tff(f3,axiom,
! [X0: day] :
( all_on(X0)
=> on(c,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_c_on) ).
tff(f6,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_follows_sunday) ).
tff(f7,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_follows_monday) ).
tff(f8,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
tff(f9,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
tff(f10,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_follows_thursday) ).
tff(f14,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_b) ).
tff(f15,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).
tff(f19,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_tuesday) ).
tff(f21,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_thursday) ).
tff(f30,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_not_thursday) ).
tff(f39,axiom,
( all_on(sunday)
| all_on(monday)
| all_on(tuesday)
| all_on(wednesday)
| all_on(thursday)
| all_on(friday)
| all_on(saturday) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_one_day) ).
tff(f40,axiom,
! [X0: day,X1: day,X2: day,X3: day,X4: person] :
~ ( consecutive(X0,X1)
& consecutive(X1,X2)
& consecutive(X2,X3)
& on(X4,X0)
& on(X4,X1)
& on(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_on_for_3_days) ).
tff(f41,axiom,
! [X0: person,X1: day,X2: day,X3: person] :
( on(X0,X1)
| on(X0,X2)
| on(X3,X1)
| on(X3,X2)
| same_person(X0,X3)
| same_day(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_two_off_twice_together) ).
tff(f42,axiom,
~ on(a,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_sunday) ).
tff(f43,axiom,
~ on(a,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_tuesday) ).
tff(f44,axiom,
~ on(a,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_thursday) ).
tff(f45,axiom,
~ on(b,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_thursday) ).
tff(f46,axiom,
~ on(b,saturday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_saturday) ).
tff(f47,axiom,
~ on(c,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_off_sunday) ).
tff(f48,conjecture,
all_on(friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_all_on_friday) ).
tff(f49,negated_conjecture,
~ all_on(friday),
inference(negated_conjecture,[status(cth)],[f48]) ).
tff(f50,plain,
~ all_on(friday),
inference(flattening,[],[f49]) ).
tff(f51,plain,
! [X0: day] :
( on(a,X0)
| ~ all_on(X0) ),
inference(ennf_transformation,[],[f1]) ).
tff(f52,plain,
! [X0: day] :
( on(b,X0)
| ~ all_on(X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f53,plain,
! [X0: day] :
( on(c,X0)
| ~ all_on(X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f58,plain,
! [X0: day,X1: day,X2: day,X3: day,X4: person] :
( ~ consecutive(X0,X1)
| ~ consecutive(X1,X2)
| ~ consecutive(X2,X3)
| ~ on(X4,X0)
| ~ on(X4,X1)
| ~ on(X4,X2) ),
inference(ennf_transformation,[],[f40]) ).
tff(f59,plain,
! [X0: day] :
( ~ all_on(X0)
| on(a,X0) ),
inference(cnf_transformation,[],[f51]) ).
tff(f60,plain,
! [X0: day] :
( ~ all_on(X0)
| on(b,X0) ),
inference(cnf_transformation,[],[f52]) ).
tff(f61,plain,
! [X0: day] :
( ~ all_on(X0)
| on(c,X0) ),
inference(cnf_transformation,[],[f53]) ).
tff(f64,plain,
consecutive(sunday,monday),
inference(cnf_transformation,[],[f6]) ).
tff(f65,plain,
consecutive(monday,tuesday),
inference(cnf_transformation,[],[f7]) ).
tff(f66,plain,
consecutive(tuesday,wednesday),
inference(cnf_transformation,[],[f8]) ).
tff(f67,plain,
consecutive(wednesday,thursday),
inference(cnf_transformation,[],[f9]) ).
tff(f68,plain,
consecutive(thursday,friday),
inference(cnf_transformation,[],[f10]) ).
tff(f72,plain,
~ same_person(a,b),
inference(cnf_transformation,[],[f14]) ).
tff(f73,plain,
~ same_person(a,c),
inference(cnf_transformation,[],[f15]) ).
tff(f77,plain,
~ same_day(sunday,tuesday),
inference(cnf_transformation,[],[f19]) ).
tff(f79,plain,
~ same_day(sunday,thursday),
inference(cnf_transformation,[],[f21]) ).
tff(f88,plain,
~ same_day(tuesday,thursday),
inference(cnf_transformation,[],[f30]) ).
tff(f97,plain,
( all_on(sunday)
| all_on(monday)
| all_on(tuesday)
| all_on(wednesday)
| all_on(thursday)
| all_on(friday)
| all_on(saturday) ),
inference(cnf_transformation,[],[f39]) ).
tff(f98,plain,
! [X2: day,X3: day,X0: day,X1: day,X4: person] :
( ~ consecutive(X0,X1)
| ~ consecutive(X1,X2)
| ~ consecutive(X2,X3)
| ~ on(X4,X0)
| ~ on(X4,X1)
| ~ on(X4,X2) ),
inference(cnf_transformation,[],[f58]) ).
tff(f99,plain,
! [X2: day,X3: person,X0: person,X1: day] :
( same_person(X0,X3)
| on(X0,X2)
| on(X3,X1)
| on(X3,X2)
| on(X0,X1)
| same_day(X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
tff(f100,plain,
~ on(a,sunday),
inference(cnf_transformation,[],[f42]) ).
tff(f101,plain,
~ on(a,tuesday),
inference(cnf_transformation,[],[f43]) ).
tff(f102,plain,
~ on(a,thursday),
inference(cnf_transformation,[],[f44]) ).
tff(f103,plain,
~ on(b,thursday),
inference(cnf_transformation,[],[f45]) ).
tff(f104,plain,
~ on(b,saturday),
inference(cnf_transformation,[],[f46]) ).
tff(f105,plain,
~ on(c,sunday),
inference(cnf_transformation,[],[f47]) ).
tff(f106,plain,
~ all_on(friday),
inference(cnf_transformation,[],[f50]) ).
tff(f107,plain,
( all_on(sunday)
| all_on(monday)
| all_on(tuesday)
| all_on(wednesday)
| all_on(thursday)
| all_on(saturday) ),
inference(forward_subsumption_resolution,[],[f97,f106]) ).
tff(f109,definition,
( spl0_1
<=> all_on(saturday) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f111,plain,
( all_on(saturday)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f109]) ).
tff(f113,definition,
( spl0_2
<=> all_on(thursday) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f115,plain,
( all_on(thursday)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f113]) ).
tff(f117,definition,
( spl0_3
<=> all_on(wednesday) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f119,plain,
( all_on(wednesday)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f117]) ).
tff(f121,definition,
( spl0_4
<=> all_on(tuesday) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f123,plain,
( all_on(tuesday)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f121]) ).
tff(f125,definition,
( spl0_5
<=> all_on(monday) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
tff(f127,plain,
( all_on(monday)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f125]) ).
tff(f129,definition,
( spl0_6
<=> all_on(sunday) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
tff(f131,plain,
( all_on(sunday)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f129]) ).
tff(f132,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f107,f129,f125,f121,f117,f113,f109]) ).
tff(f133,plain,
( on(a,thursday)
| ~ spl0_2 ),
inference(resolution,[],[f59,f115]) ).
tff(f134,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f133,f102]) ).
tff(f135,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f134]) ).
tff(f143,plain,
! [X2: person,X0: day,X1: day] :
( ~ consecutive(wednesday,X0)
| ~ consecutive(X0,X1)
| ~ on(X2,tuesday)
| ~ on(X2,wednesday)
| ~ on(X2,X0) ),
inference(resolution,[],[f98,f66]) ).
tff(f147,plain,
! [X2: person,X0: day,X1: day] :
( ~ consecutive(monday,X0)
| ~ consecutive(X0,X1)
| ~ on(X2,sunday)
| ~ on(X2,monday)
| ~ on(X2,X0) ),
inference(resolution,[],[f98,f64]) ).
tff(f149,plain,
! [X0: day,X1: day] :
( same_day(X1,X0)
| on(b,X1)
| on(b,X0)
| on(a,X1)
| on(a,X0) ),
inference(resolution,[],[f99,f72]) ).
tff(f150,plain,
! [X0: day,X1: day] :
( same_day(X1,X0)
| on(c,X1)
| on(c,X0)
| on(a,X1)
| on(a,X0) ),
inference(resolution,[],[f99,f73]) ).
tff(f160,plain,
! [X0: day,X1: person] :
( ~ consecutive(thursday,X0)
| ~ on(X1,tuesday)
| ~ on(X1,wednesday)
| ~ on(X1,thursday) ),
inference(resolution,[],[f143,f67]) ).
tff(f162,definition,
( spl0_9
<=> ! [X1: person] :
( ~ on(X1,tuesday)
| ~ on(X1,thursday)
| ~ on(X1,wednesday) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
tff(f163,plain,
( ! [X1: person] :
( ~ on(X1,thursday)
| ~ on(X1,tuesday)
| ~ on(X1,wednesday) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f162]) ).
tff(f165,definition,
( spl0_10
<=> ! [X0: day] : ~ consecutive(thursday,X0) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
tff(f166,plain,
( ! [X0: day] : ~ consecutive(thursday,X0)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f165]) ).
tff(f167,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f160,f165,f162]) ).
tff(f172,definition,
( spl0_11
<=> on(c,tuesday) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
tff(f173,plain,
( on(c,tuesday)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f172]) ).
tff(f174,plain,
( ~ on(c,tuesday)
| spl0_11 ),
inference(avatar_component_clause,[],[f172]) ).
tff(f181,definition,
( spl0_13
<=> on(b,tuesday) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
tff(f182,plain,
( on(b,tuesday)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f181]) ).
tff(f185,definition,
( spl0_14
<=> on(b,monday) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
tff(f186,plain,
( on(b,monday)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f185]) ).
tff(f187,plain,
( ~ on(b,monday)
| spl0_14 ),
inference(avatar_component_clause,[],[f185]) ).
tff(f213,plain,
! [X0: day,X1: person] :
( ~ consecutive(tuesday,X0)
| ~ on(X1,sunday)
| ~ on(X1,monday)
| ~ on(X1,tuesday) ),
inference(resolution,[],[f147,f65]) ).
tff(f215,definition,
( spl0_21
<=> ! [X1: person] :
( ~ on(X1,sunday)
| ~ on(X1,tuesday)
| ~ on(X1,monday) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
tff(f216,plain,
( ! [X1: person] :
( ~ on(X1,sunday)
| ~ on(X1,tuesday)
| ~ on(X1,monday) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f215]) ).
tff(f218,definition,
( spl0_22
<=> ! [X0: day] : ~ consecutive(tuesday,X0) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
tff(f219,plain,
( ! [X0: day] : ~ consecutive(tuesday,X0)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f218]) ).
tff(f220,plain,
( spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f213,f218,f215]) ).
tff(f235,plain,
( on(b,tuesday)
| on(b,thursday)
| on(a,tuesday)
| on(a,thursday) ),
inference(resolution,[],[f149,f88]) ).
tff(f247,plain,
( on(b,sunday)
| on(b,thursday)
| on(a,sunday)
| on(a,thursday) ),
inference(resolution,[],[f149,f79]) ).
tff(f252,plain,
( on(b,sunday)
| on(a,sunday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f247,f103]) ).
tff(f260,plain,
( on(b,tuesday)
| on(a,tuesday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f235,f103]) ).
tff(f275,definition,
( spl0_27
<=> on(b,sunday) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
tff(f277,plain,
( on(b,sunday)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f275]) ).
tff(f279,plain,
( on(b,sunday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f252,f100]) ).
tff(f291,plain,
( on(b,tuesday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f260,f101]) ).
tff(f301,plain,
on(b,sunday),
inference(forward_subsumption_resolution,[],[f279,f102]) ).
tff(f307,plain,
on(b,tuesday),
inference(forward_subsumption_resolution,[],[f291,f102]) ).
tff(f311,plain,
spl0_27,
inference(avatar_split_clause,[],[f301,f275]) ).
tff(f313,plain,
spl0_13,
inference(avatar_split_clause,[],[f307,f181]) ).
tff(f329,plain,
( on(a,tuesday)
| ~ spl0_4 ),
inference(resolution,[],[f123,f59]) ).
tff(f330,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f329,f101]) ).
tff(f331,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f330]) ).
tff(f336,plain,
( on(b,monday)
| ~ spl0_5 ),
inference(resolution,[],[f127,f60]) ).
tff(f358,plain,
( on(c,sunday)
| on(c,tuesday)
| on(a,sunday)
| on(a,tuesday) ),
inference(resolution,[],[f150,f77]) ).
tff(f360,plain,
( on(c,sunday)
| on(c,thursday)
| on(a,sunday)
| on(a,thursday) ),
inference(resolution,[],[f150,f79]) ).
tff(f363,plain,
( on(c,thursday)
| on(a,sunday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f360,f105]) ).
tff(f364,plain,
( on(c,tuesday)
| on(a,sunday)
| on(a,tuesday) ),
inference(forward_subsumption_resolution,[],[f358,f105]) ).
tff(f366,plain,
( on(c,thursday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f363,f100]) ).
tff(f367,plain,
( on(a,sunday)
| on(a,tuesday)
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f364,f174]) ).
tff(f369,plain,
on(c,thursday),
inference(forward_subsumption_resolution,[],[f366,f102]) ).
tff(f370,plain,
( on(a,tuesday)
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f367,f100]) ).
tff(f372,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f370,f101]) ).
tff(f373,plain,
spl0_11,
inference(avatar_contradiction_clause,[],[f372]) ).
tff(f403,definition,
( spl0_33
<=> on(c,wednesday) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
tff(f404,plain,
( ~ on(c,wednesday)
| spl0_33 ),
inference(avatar_component_clause,[],[f403]) ).
tff(f424,plain,
( $false
| ~ spl0_5
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f336,f187]) ).
tff(f425,plain,
( ~ spl0_5
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f424]) ).
tff(f427,plain,
( ~ on(c,tuesday)
| ~ on(c,wednesday)
| ~ spl0_9 ),
inference(resolution,[],[f369,f163]) ).
tff(f428,plain,
( ~ on(c,wednesday)
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f427,f173]) ).
tff(f431,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f166,f68]) ).
tff(f432,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f431]) ).
tff(f434,plain,
( ~ spl0_33
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f428,f172,f162,f403]) ).
tff(f436,plain,
( on(c,sunday)
| ~ spl0_6 ),
inference(resolution,[],[f131,f61]) ).
tff(f441,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f436,f105]) ).
tff(f442,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f441]) ).
tff(f456,plain,
( ~ on(b,tuesday)
| ~ on(b,monday)
| ~ spl0_21
| ~ spl0_27 ),
inference(resolution,[],[f216,f277]) ).
tff(f457,plain,
( ~ on(b,monday)
| ~ spl0_13
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f456,f182]) ).
tff(f458,plain,
( $false
| ~ spl0_13
| ~ spl0_14
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f457,f186]) ).
tff(f459,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f458]) ).
tff(f460,plain,
( $false
| ~ spl0_22 ),
inference(resolution,[],[f219,f66]) ).
tff(f461,plain,
~ spl0_22,
inference(avatar_contradiction_clause,[],[f460]) ).
tff(f464,plain,
( on(b,saturday)
| ~ spl0_1 ),
inference(resolution,[],[f111,f60]) ).
tff(f466,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f464,f104]) ).
tff(f467,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f466]) ).
tff(f475,plain,
( on(c,wednesday)
| ~ spl0_3 ),
inference(resolution,[],[f119,f61]) ).
tff(f478,plain,
( $false
| ~ spl0_3
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f475,f404]) ).
tff(f479,plain,
( ~ spl0_3
| spl0_33 ),
inference(avatar_contradiction_clause,[],[f478]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f132]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f135]) ).
cnf(s4,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f167]) ).
cnf(s10,plain,
( spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f220]) ).
cnf(s23,plain,
spl0_27,
inference(sat_conversion,[],[f311]) ).
cnf(s25,plain,
spl0_13,
inference(sat_conversion,[],[f313]) ).
cnf(s28,plain,
~ spl0_4,
inference(sat_conversion,[],[f331]) ).
cnf(s32,plain,
spl0_11,
inference(sat_conversion,[],[f373]) ).
cnf(s38,plain,
( ~ spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f425]) ).
cnf(s40,plain,
~ spl0_10,
inference(sat_conversion,[],[f432]) ).
cnf(s41,plain,
( ~ spl0_9
| ~ spl0_11
| ~ spl0_33 ),
inference(sat_conversion,[],[f434]) ).
cnf(s43,plain,
~ spl0_6,
inference(sat_conversion,[],[f442]) ).
cnf(s45,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_21
| ~ spl0_27 ),
inference(sat_conversion,[],[f459]) ).
cnf(s46,plain,
~ spl0_22,
inference(sat_conversion,[],[f461]) ).
cnf(s47,plain,
~ spl0_1,
inference(sat_conversion,[],[f467]) ).
cnf(s49,plain,
( ~ spl0_3
| spl0_33 ),
inference(sat_conversion,[],[f479]) ).
cnf(s50,plain,
spl0_21,
inference(rat,[],[s10,s46]) ).
cnf(s51,plain,
~ spl0_14,
inference(rat,[],[s45,s23,s25,s50]) ).
cnf(s52,plain,
~ spl0_5,
inference(rat,[],[s38,s51]) ).
cnf(s55,plain,
spl0_9,
inference(rat,[],[s4,s40]) ).
cnf(s56,plain,
~ spl0_33,
inference(rat,[],[s41,s32,s55]) ).
cnf(s57,plain,
~ spl0_3,
inference(rat,[],[s49,s56]) ).
cnf(s59,plain,
$false,
inference(rat,[],[s1,s43,s52,s28,s57,s2,s47]) ).
tff(f480,plain,
$false,
inference(avatar_sat_refutation,[],[s59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ018_1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.18/0.43 % Computer : n005.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 27 22:30:01 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.22/0.48 Running first-order model finding
% 0.22/0.48 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
% 0.22/0.54 % (233803)Will run a generic schedule for satisfiability detection.
% 0.22/0.54 % (233809)% WARNING: option uhcvi not known.
% 0.22/0.54 % (233809)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3735634464:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.54 % (233810)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2759076357:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.54 % (233808)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3049526914_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.54 % (233811)dis+10_1_sil=32000:sp=arity:random_seed=2909431254:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.54 % (233812)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2021634737:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.54 % (233813)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3465378170:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.54 % (233814)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2086146444:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.54 % Detected minimum model sizes of [1]
% 0.22/0.54 % Detected maximum model sizes of [10]
% 0.22/0.54 % TRYING [1]
% 0.22/0.54 % TRYING [2]
% 0.22/0.54 % TRYING [3]
% 0.22/0.54 % TRYING [4]
% 0.22/0.54 % TRYING [5]
% 0.22/0.54 % TRYING [6]
% 0.22/0.54 % (233813) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-233803-233813"...
% 0.22/0.54 % (233811) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-233803-233811"...
% 0.22/0.54 % TRYING [7]
% 0.22/0.54 % (233814) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-233803-233814"...
% 0.22/0.54 % (233813)...printing done.
% 0.22/0.54 % (233811)...printing done.
% 0.22/0.54 % (233813)Refutation found. Thanks to Tanya!
% 0.22/0.54 % SZS status Theorem for theBenchmark
% 0.22/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.54 % (233813)------------------------------
% 0.22/0.54 % (233813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.54 % (233813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.54 % (233813)CaDiCaL version: 2.1.3
% 0.22/0.54 % (233813)Termination reason: Refutation
% 0.22/0.54 % (233813)Time elapsed: 0.013 s
% 0.22/0.54 % (233813)Peak memory usage: 12 MB
% 0.22/0.54 % (233813)Instructions burned: 11 (million)
% 0.22/0.54 % (233803)Success in time 0.053 s
% 0.22/0.54 % Vampire exiting
%------------------------------------------------------------------------------