TSTP Solution File: PUZ018_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PUZ018_1 : TPTP v8.1.0. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:11:33 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 67
% Syntax : Number of formulae : 175 ( 58 unt; 17 typ; 0 def)
% Number of atoms : 371 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 390 ( 177 ~; 175 |; 10 &)
% ( 25 <=>; 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 : 9 ( 5 >; 4 *; 0 +; 0 <<)
% Number of predicates : 31 ( 30 usr; 26 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 77 ( 77 !; 0 ?; 77 :)
% 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(f536,plain,
$false,
inference(avatar_sat_refutation,[],[f138,f142,f143,f144,f148,f272,f305,f319,f333,f339,f343,f347,f350,f377,f437,f447,f457,f464,f498,f505,f507,f508,f522,f523,f534,f535]) ).
tff(f535,plain,
( spl0_17
| spl0_10
| spl0_39
| spl0_41 ),
inference(avatar_split_clause,[],[f473,f452,f439,f205,f236]) ).
tff(f236,plain,
( spl0_17
<=> on(b,thursday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
tff(f205,plain,
( spl0_10
<=> on(b,tuesday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
tff(f439,plain,
( spl0_39
<=> on(a,tuesday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
tff(f452,plain,
( spl0_41
<=> on(a,thursday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
tff(f473,plain,
( on(a,thursday)
| on(a,tuesday)
| on(b,tuesday)
| on(b,thursday) ),
inference(resolution,[],[f174,f107]) ).
tff(f107,plain,
~ same_day(tuesday,thursday),
inference(cnf_transformation,[],[f30]) ).
tff(f30,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_thursday) ).
tff(f174,plain,
! [X4: day,X5: day] :
( same_day(X4,X5)
| on(a,X5)
| on(b,X4)
| on(b,X5)
| on(a,X4) ),
inference(resolution,[],[f67,f99]) ).
tff(f99,plain,
~ same_person(a,b),
inference(cnf_transformation,[],[f14]) ).
tff(f14,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
tff(f67,plain,
! [X2: person,X3: day,X0: person,X1: day] :
( same_person(X2,X0)
| on(X0,X1)
| same_day(X1,X3)
| on(X2,X1)
| on(X0,X3)
| on(X2,X3) ),
inference(cnf_transformation,[],[f52]) ).
tff(f52,plain,
! [X0: person,X3: day,X2: person,X1: day] :
( on(X0,X1)
| same_person(X2,X0)
| same_day(X1,X3)
| on(X0,X3)
| on(X2,X1)
| on(X2,X3) ),
inference(rectify,[],[f41]) ).
tff(f41,axiom,
! [X3: person,X1: day,X0: person,X2: day] :
( on(X0,X1)
| on(X3,X1)
| same_day(X1,X2)
| same_person(X0,X3)
| on(X3,X2)
| on(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_two_off_twice_together) ).
tff(f534,plain,
~ spl0_41,
inference(avatar_contradiction_clause,[],[f532]) ).
tff(f532,plain,
( $false
| ~ spl0_41 ),
inference(resolution,[],[f454,f77]) ).
tff(f77,plain,
~ on(a,thursday),
inference(cnf_transformation,[],[f44]) ).
tff(f44,axiom,
~ on(a,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_thursday) ).
tff(f454,plain,
( on(a,thursday)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f452]) ).
tff(f523,plain,
( ~ spl0_15
| ~ spl0_10
| ~ spl0_19
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f519,f317,f245,f205,f226]) ).
tff(f226,plain,
( spl0_15
<=> on(b,monday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
tff(f245,plain,
( spl0_19
<=> on(b,wednesday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
tff(f317,plain,
( spl0_31
<=> ! [X4: day,X3: person] :
( ~ consecutive(X4,tuesday)
| ~ on(X3,tuesday)
| ~ on(X3,wednesday)
| ~ on(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
tff(f519,plain,
( ~ on(b,tuesday)
| ~ on(b,monday)
| ~ spl0_19
| ~ spl0_31 ),
inference(resolution,[],[f247,f386]) ).
tff(f386,plain,
( ! [X0: person] :
( ~ on(X0,wednesday)
| ~ on(X0,tuesday)
| ~ on(X0,monday) )
| ~ spl0_31 ),
inference(resolution,[],[f318,f96]) ).
tff(f96,plain,
consecutive(monday,tuesday),
inference(cnf_transformation,[],[f7]) ).
tff(f7,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_follows_monday) ).
tff(f318,plain,
( ! [X3: person,X4: day] :
( ~ consecutive(X4,tuesday)
| ~ on(X3,wednesday)
| ~ on(X3,X4)
| ~ on(X3,tuesday) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f317]) ).
tff(f247,plain,
( on(b,wednesday)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f245]) ).
tff(f522,plain,
~ spl0_39,
inference(avatar_contradiction_clause,[],[f521]) ).
tff(f521,plain,
( $false
| ~ spl0_39 ),
inference(resolution,[],[f441,f88]) ).
tff(f88,plain,
~ on(a,tuesday),
inference(cnf_transformation,[],[f43]) ).
tff(f43,axiom,
~ on(a,tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_tuesday) ).
tff(f441,plain,
( on(a,tuesday)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f439]) ).
tff(f508,plain,
( ~ spl0_9
| ~ spl0_18
| ~ spl0_16
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f496,f303,f232,f241,f201]) ).
tff(f201,plain,
( spl0_9
<=> on(c,tuesday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
tff(f241,plain,
( spl0_18
<=> on(c,wednesday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
tff(f232,plain,
( spl0_16
<=> on(c,thursday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
tff(f303,plain,
( spl0_27
<=> ! [X6: person,X7: day] :
( ~ on(X6,X7)
| ~ on(X6,wednesday)
| ~ on(X6,thursday)
| ~ consecutive(X7,wednesday) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
tff(f496,plain,
( ~ on(c,wednesday)
| ~ on(c,tuesday)
| ~ spl0_16
| ~ spl0_27 ),
inference(resolution,[],[f234,f368]) ).
tff(f368,plain,
( ! [X0: person] :
( ~ on(X0,thursday)
| ~ on(X0,wednesday)
| ~ on(X0,tuesday) )
| ~ spl0_27 ),
inference(resolution,[],[f304,f94]) ).
tff(f94,plain,
consecutive(tuesday,wednesday),
inference(cnf_transformation,[],[f8]) ).
tff(f8,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
tff(f304,plain,
( ! [X6: person,X7: day] :
( ~ consecutive(X7,wednesday)
| ~ on(X6,X7)
| ~ on(X6,wednesday)
| ~ on(X6,thursday) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f303]) ).
tff(f234,plain,
( on(c,thursday)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f232]) ).
tff(f507,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f506]) ).
tff(f506,plain,
( $false
| ~ spl0_6 ),
inference(resolution,[],[f133,f105]) ).
tff(f105,plain,
~ all_on(friday),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
~ all_on(friday),
inference(flattening,[],[f49]) ).
tff(f49,negated_conjecture,
~ all_on(friday),
inference(negated_conjecture,[],[f48]) ).
tff(f48,conjecture,
all_on(friday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_all_on_friday) ).
tff(f133,plain,
( all_on(friday)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f131]) ).
tff(f131,plain,
( spl0_6
<=> all_on(friday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
tff(f505,plain,
~ spl0_38,
inference(avatar_contradiction_clause,[],[f503]) ).
tff(f503,plain,
( $false
| ~ spl0_38 ),
inference(resolution,[],[f434,f97]) ).
tff(f97,plain,
~ on(a,sunday),
inference(cnf_transformation,[],[f42]) ).
tff(f42,axiom,
~ on(a,sunday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_sunday) ).
tff(f434,plain,
( on(a,sunday)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f432]) ).
tff(f432,plain,
( spl0_38
<=> on(a,sunday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
tff(f498,plain,
( ~ spl0_5
| spl0_18 ),
inference(avatar_split_clause,[],[f497,f241,f127]) ).
tff(f127,plain,
( spl0_5
<=> all_on(wednesday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
tff(f497,plain,
( ~ all_on(wednesday)
| spl0_18 ),
inference(resolution,[],[f242,f95]) ).
tff(f95,plain,
! [X0: day] :
( on(c,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[],[f57]) ).
tff(f57,plain,
! [X0: day] :
( ~ all_on(X0)
| on(c,X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,axiom,
! [X0: day] :
( all_on(X0)
=> on(c,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_c_on) ).
tff(f242,plain,
( ~ on(c,wednesday)
| spl0_18 ),
inference(avatar_component_clause,[],[f241]) ).
tff(f464,plain,
( ~ spl0_4
| spl0_15 ),
inference(avatar_split_clause,[],[f463,f226,f123]) ).
tff(f123,plain,
( spl0_4
<=> all_on(monday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f463,plain,
( ~ all_on(monday)
| spl0_15 ),
inference(resolution,[],[f227,f98]) ).
tff(f98,plain,
! [X0: day] :
( on(b,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: day] :
( on(b,X0)
| ~ all_on(X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,axiom,
! [X0: day] :
( all_on(X0)
=> on(b,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_b_on) ).
tff(f227,plain,
( ~ on(b,monday)
| spl0_15 ),
inference(avatar_component_clause,[],[f226]) ).
tff(f457,plain,
( spl0_16
| spl0_13
| spl0_41
| spl0_38 ),
inference(avatar_split_clause,[],[f423,f432,f452,f218,f232]) ).
tff(f218,plain,
( spl0_13
<=> on(c,sunday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
tff(f423,plain,
( on(a,sunday)
| on(a,thursday)
| on(c,sunday)
| on(c,thursday) ),
inference(resolution,[],[f173,f85]) ).
tff(f85,plain,
~ same_day(sunday,thursday),
inference(cnf_transformation,[],[f21]) ).
tff(f21,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_thursday) ).
tff(f173,plain,
! [X2: day,X3: day] :
( same_day(X2,X3)
| on(a,X2)
| on(c,X3)
| on(a,X3)
| on(c,X2) ),
inference(resolution,[],[f67,f75]) ).
tff(f75,plain,
~ same_person(a,c),
inference(cnf_transformation,[],[f15]) ).
tff(f15,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
tff(f447,plain,
( spl0_9
| spl0_38
| spl0_39
| spl0_13 ),
inference(avatar_split_clause,[],[f421,f218,f439,f432,f201]) ).
tff(f421,plain,
( on(c,sunday)
| on(a,tuesday)
| on(a,sunday)
| on(c,tuesday) ),
inference(resolution,[],[f173,f87]) ).
tff(f87,plain,
~ same_day(sunday,tuesday),
inference(cnf_transformation,[],[f19]) ).
tff(f19,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_tuesday) ).
tff(f437,plain,
( ~ spl0_15
| ~ spl0_10
| ~ spl0_14
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f401,f331,f222,f205,f226]) ).
tff(f222,plain,
( spl0_14
<=> on(b,sunday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
tff(f331,plain,
( spl0_35
<=> ! [X0: person,X1: day] :
( ~ on(X0,monday)
| ~ on(X0,X1)
| ~ consecutive(X1,monday)
| ~ on(X0,tuesday) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
tff(f401,plain,
( ~ on(b,tuesday)
| ~ on(b,monday)
| ~ spl0_14
| ~ spl0_35 ),
inference(resolution,[],[f400,f224]) ).
tff(f224,plain,
( on(b,sunday)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f222]) ).
tff(f400,plain,
( ! [X0: person] :
( ~ on(X0,sunday)
| ~ on(X0,monday)
| ~ on(X0,tuesday) )
| ~ spl0_35 ),
inference(resolution,[],[f332,f64]) ).
tff(f64,plain,
consecutive(sunday,monday),
inference(cnf_transformation,[],[f6]) ).
tff(f6,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_follows_sunday) ).
tff(f332,plain,
( ! [X0: person,X1: day] :
( ~ consecutive(X1,monday)
| ~ on(X0,monday)
| ~ on(X0,tuesday)
| ~ on(X0,X1) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f331]) ).
tff(f377,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f375]) ).
tff(f375,plain,
( $false
| ~ spl0_17 ),
inference(resolution,[],[f238,f91]) ).
tff(f91,plain,
~ on(b,thursday),
inference(cnf_transformation,[],[f45]) ).
tff(f45,axiom,
~ on(b,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_off_thursday) ).
tff(f238,plain,
( on(b,thursday)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f236]) ).
tff(f350,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f348]) ).
tff(f348,plain,
( $false
| ~ spl0_13 ),
inference(resolution,[],[f220,f72]) ).
tff(f72,plain,
~ on(c,sunday),
inference(cnf_transformation,[],[f47]) ).
tff(f47,axiom,
~ on(c,sunday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_off_sunday) ).
tff(f220,plain,
( on(c,sunday)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f218]) ).
tff(f347,plain,
~ spl0_34,
inference(avatar_contradiction_clause,[],[f346]) ).
tff(f346,plain,
( $false
| ~ spl0_34 ),
inference(resolution,[],[f329,f94]) ).
tff(f329,plain,
( ! [X2: day] : ~ consecutive(tuesday,X2)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f328]) ).
tff(f328,plain,
( spl0_34
<=> ! [X2: day] : ~ consecutive(tuesday,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
tff(f343,plain,
~ spl0_30,
inference(avatar_contradiction_clause,[],[f342]) ).
tff(f342,plain,
( $false
| ~ spl0_30 ),
inference(resolution,[],[f315,f76]) ).
tff(f76,plain,
consecutive(wednesday,thursday),
inference(cnf_transformation,[],[f9]) ).
tff(f9,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
tff(f315,plain,
( ! [X5: day] : ~ consecutive(wednesday,X5)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f314]) ).
tff(f314,plain,
( spl0_30
<=> ! [X5: day] : ~ consecutive(wednesday,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
tff(f339,plain,
~ spl0_26,
inference(avatar_contradiction_clause,[],[f338]) ).
tff(f338,plain,
( $false
| ~ spl0_26 ),
inference(resolution,[],[f301,f73]) ).
tff(f73,plain,
consecutive(thursday,friday),
inference(cnf_transformation,[],[f10]) ).
tff(f10,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',friday_follows_thursday) ).
tff(f301,plain,
( ! [X8: day] : ~ consecutive(thursday,X8)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f300]) ).
tff(f300,plain,
( spl0_26
<=> ! [X8: day] : ~ consecutive(thursday,X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
tff(f333,plain,
( spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f278,f331,f328]) ).
tff(f278,plain,
! [X2: day,X0: person,X1: day] :
( ~ on(X0,monday)
| ~ on(X0,tuesday)
| ~ consecutive(tuesday,X2)
| ~ consecutive(X1,monday)
| ~ on(X0,X1) ),
inference(resolution,[],[f101,f96]) ).
tff(f101,plain,
! [X2: day,X3: day,X0: person,X1: day,X4: day] :
( ~ consecutive(X4,X3)
| ~ on(X0,X1)
| ~ on(X0,X3)
| ~ consecutive(X1,X4)
| ~ on(X0,X4)
| ~ consecutive(X3,X2) ),
inference(cnf_transformation,[],[f56]) ).
tff(f56,plain,
! [X3: day,X0: person,X1: day,X4: day,X2: day] :
( ~ consecutive(X3,X2)
| ~ on(X0,X4)
| ~ on(X0,X3)
| ~ on(X0,X1)
| ~ consecutive(X4,X3)
| ~ consecutive(X1,X4) ),
inference(ennf_transformation,[],[f51]) ).
tff(f51,plain,
! [X4: day,X0: person,X2: day,X1: day,X3: day] :
~ ( on(X0,X4)
& on(X0,X3)
& consecutive(X1,X4)
& consecutive(X4,X3)
& on(X0,X1)
& consecutive(X3,X2) ),
inference(rectify,[],[f40]) ).
tff(f40,axiom,
! [X4: person,X0: day,X3: day,X2: day,X1: day] :
~ ( on(X4,X1)
& consecutive(X0,X1)
& on(X4,X0)
& consecutive(X1,X2)
& consecutive(X2,X3)
& on(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_on_for_3_days) ).
tff(f319,plain,
( spl0_30
| spl0_31 ),
inference(avatar_split_clause,[],[f279,f317,f314]) ).
tff(f279,plain,
! [X3: person,X4: day,X5: day] :
( ~ consecutive(X4,tuesday)
| ~ on(X3,wednesday)
| ~ on(X3,X4)
| ~ on(X3,tuesday)
| ~ consecutive(wednesday,X5) ),
inference(resolution,[],[f101,f94]) ).
tff(f305,plain,
( spl0_26
| spl0_27 ),
inference(avatar_split_clause,[],[f280,f303,f300]) ).
tff(f280,plain,
! [X8: day,X6: person,X7: day] :
( ~ on(X6,X7)
| ~ consecutive(X7,wednesday)
| ~ on(X6,thursday)
| ~ consecutive(thursday,X8)
| ~ on(X6,wednesday) ),
inference(resolution,[],[f101,f76]) ).
tff(f272,plain,
( spl0_14
| spl0_18
| spl0_19
| spl0_13 ),
inference(avatar_split_clause,[],[f192,f218,f245,f241,f222]) ).
tff(f192,plain,
( on(c,sunday)
| on(b,wednesday)
| on(c,wednesday)
| on(b,sunday) ),
inference(resolution,[],[f172,f80]) ).
tff(f80,plain,
~ same_day(sunday,wednesday),
inference(cnf_transformation,[],[f20]) ).
tff(f20,axiom,
~ same_day(sunday,wednesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_wednesday) ).
tff(f172,plain,
! [X0: day,X1: day] :
( same_day(X0,X1)
| on(c,X0)
| on(b,X1)
| on(c,X1)
| on(b,X0) ),
inference(resolution,[],[f67,f68]) ).
tff(f68,plain,
~ same_person(b,c),
inference(cnf_transformation,[],[f16]) ).
tff(f16,axiom,
~ same_person(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_c) ).
tff(f148,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f147,f119]) ).
tff(f119,plain,
( spl0_3
<=> all_on(saturday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f147,plain,
~ all_on(saturday),
inference(resolution,[],[f98,f103]) ).
tff(f103,plain,
~ on(b,saturday),
inference(cnf_transformation,[],[f46]) ).
tff(f46,axiom,
~ on(b,saturday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_off_saturday) ).
tff(f144,plain,
~ spl0_7,
inference(avatar_split_clause,[],[f139,f135]) ).
tff(f135,plain,
( spl0_7
<=> all_on(thursday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
tff(f139,plain,
~ all_on(thursday),
inference(resolution,[],[f86,f77]) ).
tff(f86,plain,
! [X0: day] :
( on(a,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[],[f54]) ).
tff(f54,plain,
! [X0: day] :
( ~ all_on(X0)
| on(a,X0) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: day] :
( all_on(X0)
=> on(a,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_a_on) ).
tff(f143,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f141,f115]) ).
tff(f115,plain,
( spl0_2
<=> all_on(sunday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f141,plain,
~ all_on(sunday),
inference(resolution,[],[f86,f97]) ).
tff(f142,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f140,f111]) ).
tff(f111,plain,
( spl0_1
<=> all_on(tuesday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f140,plain,
~ all_on(tuesday),
inference(resolution,[],[f86,f88]) ).
tff(f138,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f74,f135,f131,f127,f123,f119,f115,f111]) ).
tff(f74,plain,
( all_on(thursday)
| all_on(friday)
| all_on(wednesday)
| all_on(monday)
| all_on(saturday)
| all_on(sunday)
| all_on(tuesday) ),
inference(cnf_transformation,[],[f39]) ).
tff(f39,axiom,
( all_on(wednesday)
| all_on(monday)
| all_on(tuesday)
| all_on(sunday)
| all_on(thursday)
| all_on(saturday)
| all_on(friday) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_one_day) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ018_1 : TPTP v8.1.0. Bugfixed v5.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 10:46:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (30955)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (30964)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52 % (30955)Instruction limit reached!
% 0.19/0.52 % (30955)------------------------------
% 0.19/0.52 % (30955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (30955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (30955)Termination reason: Unknown
% 0.19/0.52 % (30955)Termination phase: Preprocessing 3
% 0.19/0.52
% 0.19/0.52 % (30955)Memory used [KB]: 895
% 0.19/0.52 % (30955)Time elapsed: 0.003 s
% 0.19/0.52 % (30955)Instructions burned: 2 (million)
% 0.19/0.52 % (30955)------------------------------
% 0.19/0.52 % (30955)------------------------------
% 0.19/0.52 Detected maximum model sizes of [10]
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 TRYING [4]
% 0.19/0.52 % (30949)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 TRYING [5]
% 0.19/0.53 TRYING [6]
% 0.19/0.53 % (30950)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (30958)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (30948)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (30959)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (30960)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (30948)Refutation not found, incomplete strategy% (30948)------------------------------
% 0.19/0.53 % (30948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (30948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (30948)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (30948)Memory used [KB]: 5500
% 0.19/0.53 % (30948)Time elapsed: 0.124 s
% 0.19/0.53 % (30948)Instructions burned: 3 (million)
% 0.19/0.53 % (30948)------------------------------
% 0.19/0.53 % (30948)------------------------------
% 0.19/0.53 % (30973)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (30958)First to succeed.
% 0.19/0.53 TRYING [7]
% 0.19/0.53 % (30959)Also succeeded, but the first one will report.
% 0.19/0.54 % (30958)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (30958)------------------------------
% 0.19/0.54 % (30958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (30958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (30958)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (30958)Memory used [KB]: 5628
% 0.19/0.54 % (30958)Time elapsed: 0.131 s
% 0.19/0.54 % (30958)Instructions burned: 9 (million)
% 0.19/0.54 % (30958)------------------------------
% 0.19/0.54 % (30958)------------------------------
% 0.19/0.54 % (30946)Success in time 0.185 s
%------------------------------------------------------------------------------