TSTP Solution File: PUZ018-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ018-2 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May  5 08:49:36 EDT 2024

% Result   : Satisfiable 0.21s 0.37s
% Output   : Saturation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u234,axiom,
    ( ~ on(c,friday)
    | on(b,wednesday) ) ).

cnf(u216,axiom,
    ( on(c,monday)
    | on(b,wednesday) ) ).

cnf(a_not_b,axiom,
    ~ same_person(a,b) ).

cnf(tuesday_follows_monday,axiom,
    consecutive(monday,tuesday) ).

cnf(thursday_not_friday,axiom,
    ~ same_day(thursday,friday) ).

cnf(tuesday_not_wednesday,axiom,
    ~ same_day(tuesday,wednesday) ).

cnf(friday_follows_thursday,axiom,
    consecutive(thursday,friday) ).

cnf(all_on_c_on,axiom,
    ( ~ all_on(X0)
    | on(c,X0) ) ).

cnf(a_off_tuesday,axiom,
    ~ on(a,tuesday) ).

cnf(tuesday_not_saturday,axiom,
    ~ same_day(tuesday,saturday) ).

cnf(monday_not_wednesday,axiom,
    ~ same_day(monday,wednesday) ).

cnf(sunday_not_friday,axiom,
    ~ same_day(sunday,friday) ).

cnf(a_not_c,axiom,
    ~ same_person(a,c) ).

cnf(u187,axiom,
    ~ on(c,wednesday) ).

cnf(u176,axiom,
    ( on(c,friday)
    | on(a,friday) ) ).

cnf(u169,axiom,
    on(c,tuesday) ).

cnf(u62,axiom,
    ( ~ consecutive(monday,X0)
    | ~ consecutive(X1,sunday)
    | ~ on(X2,sunday)
    | ~ on(X2,monday)
    | ~ on(X2,X1) ) ).

cnf(u55,axiom,
    ( on(b,friday)
    | all_on(tuesday)
    | all_on(monday)
    | all_on(thursday)
    | all_on(sunday)
    | all_on(wednesday) ) ).

cnf(a_off_thursday,axiom,
    ~ on(a,thursday) ).

cnf(thursday_not_saturday,axiom,
    ~ same_day(thursday,saturday) ).

cnf(sunday_not_monday,axiom,
    ~ same_day(sunday,monday) ).

cnf(u78,axiom,
    ( same_day(X0,X1)
    | on(c,X1)
    | on(c,X0)
    | on(b,X1)
    | on(b,X0) ) ).

cnf(u71,axiom,
    ( ~ consecutive(X0,monday)
    | ~ on(X1,monday)
    | ~ on(X1,tuesday)
    | ~ on(X1,X0) ) ).

cnf(not_on_for_3_days,axiom,
    ( ~ consecutive(X1,X2)
    | ~ consecutive(X2,X3)
    | ~ consecutive(X0,X1)
    | ~ on(X4,X1)
    | ~ on(X4,X2)
    | ~ on(X4,X0) ) ).

cnf(u222,axiom,
    ( on(c,saturday)
    | on(b,wednesday) ) ).

cnf(u74,axiom,
    ( ~ on(X0,wednesday)
    | ~ on(X0,tuesday)
    | ~ on(X0,monday) ) ).

cnf(u67,axiom,
    ( ~ consecutive(saturday,X0)
    | ~ consecutive(X1,friday)
    | ~ on(X2,friday)
    | ~ on(X2,saturday)
    | ~ on(X2,X1) ) ).

cnf(u63,axiom,
    ( ~ consecutive(tuesday,X0)
    | ~ consecutive(X1,monday)
    | ~ on(X2,monday)
    | ~ on(X2,tuesday)
    | ~ on(X2,X1) ) ).

cnf(u237,axiom,
    ( on(c,monday)
    | all_on(tuesday)
    | all_on(thursday)
    | all_on(sunday)
    | all_on(wednesday) ) ).

cnf(u86,axiom,
    ( ~ on(X0,saturday)
    | ~ on(X0,friday)
    | ~ on(X0,thursday) ) ).

cnf(u79,axiom,
    ( ~ on(X0,thursday)
    | ~ on(X0,wednesday)
    | ~ on(X0,tuesday) ) ).

cnf(u68,axiom,
    ( ~ consecutive(sunday,X0)
    | ~ consecutive(X1,saturday)
    | ~ on(X2,saturday)
    | ~ on(X2,sunday)
    | ~ on(X2,X1) ) ).

cnf(u240,axiom,
    ( on(b,wednesday)
    | all_on(tuesday)
    | all_on(monday)
    | all_on(thursday)
    | all_on(sunday) ) ).

cnf(u223,axiom,
    ( on(c,saturday)
    | on(c,friday)
    | on(b,friday) ) ).

cnf(u245,axiom,
    ( on(b,friday)
    | on(b,wednesday) ) ).

cnf(u135,axiom,
    ( on(b,friday)
    | on(a,friday) ) ).

cnf(sunday_not_wednesday,axiom,
    ~ same_day(sunday,wednesday) ).

cnf(reflexivity_for_same_person,axiom,
    same_person(X0,X0) ).

cnf(u219,axiom,
    ( on(c,saturday)
    | on(c,monday) ) ).

cnf(u138,axiom,
    on(a,saturday) ).

cnf(monday_not_friday,axiom,
    ~ same_day(monday,friday) ).

cnf(b_not_c,axiom,
    ~ same_person(b,c) ).

cnf(thursday_follows_wednesday,axiom,
    consecutive(wednesday,thursday) ).

cnf(monday_follows_sunday,axiom,
    consecutive(sunday,monday) ).

cnf(u127,axiom,
    on(b,tuesday) ).

cnf(u132,axiom,
    ( on(b,wednesday)
    | on(a,wednesday) ) ).

cnf(b_off_saturday,axiom,
    ~ on(b,saturday) ).

cnf(all_on_one_day,axiom,
    ( all_on(saturday)
    | all_on(friday)
    | all_on(wednesday)
    | all_on(tuesday)
    | all_on(monday)
    | all_on(thursday)
    | all_on(sunday) ) ).

cnf(monday_not_saturday,axiom,
    ~ same_day(monday,saturday) ).

cnf(sunday_not_thursday,axiom,
    ~ same_day(sunday,thursday) ).

cnf(all_on_b_on,axiom,
    ( ~ all_on(X0)
    | on(b,X0) ) ).

cnf(u190,axiom,
    on(a,wednesday) ).

cnf(a_off_sunday,axiom,
    ~ on(a,sunday) ).

cnf(wednesday_not_saturday,axiom,
    ~ same_day(wednesday,saturday) ).

cnf(monday_not_tuesday,axiom,
    ~ same_day(monday,tuesday) ).

cnf(reflexivity_for_same_day,axiom,
    same_day(X0,X0) ).

cnf(u77,axiom,
    ( same_day(X0,X1)
    | on(c,X1)
    | on(c,X0)
    | on(a,X1)
    | on(a,X0) ) ).

cnf(u54,axiom,
    ( on(c,friday)
    | all_on(tuesday)
    | all_on(monday)
    | all_on(thursday)
    | all_on(sunday)
    | all_on(wednesday) ) ).

cnf(c_off_sunday,axiom,
    ~ on(c,sunday) ).

cnf(u80,axiom,
    ( ~ consecutive(X0,thursday)
    | ~ on(X1,thursday)
    | ~ on(X1,friday)
    | ~ on(X1,X0) ) ).

cnf(u73,axiom,
    ( ~ consecutive(X0,tuesday)
    | ~ on(X1,tuesday)
    | ~ on(X1,wednesday)
    | ~ on(X1,X0) ) ).

cnf(u70,axiom,
    ( ~ on(X0,saturday)
    | ~ on(X0,monday)
    | ~ on(X0,sunday) ) ).

cnf(u235,axiom,
    ( on(c,monday)
    | on(a,friday) ) ).

cnf(u85,axiom,
    ( ~ consecutive(X0,friday)
    | ~ on(X1,friday)
    | ~ on(X1,saturday)
    | ~ on(X1,X0) ) ).

cnf(u66,axiom,
    ( ~ consecutive(friday,X0)
    | ~ consecutive(X1,thursday)
    | ~ on(X2,thursday)
    | ~ on(X2,friday)
    | ~ on(X2,X1) ) ).

cnf(all_on,axiom,
    ( ~ on(c,X0)
    | all_on(X0)
    | ~ on(b,X0)
    | ~ on(a,X0) ) ).

cnf(u229,axiom,
    ( ~ on(c,friday)
    | on(c,monday) ) ).

cnf(u88,axiom,
    ( ~ on(X0,saturday)
    | ~ on(X0,sunday)
    | ~ on(X0,friday) ) ).

cnf(u81,axiom,
    ( ~ on(X0,friday)
    | ~ on(X0,thursday)
    | ~ on(X0,wednesday) ) ).

cnf(u141,axiom,
    ~ on(b,monday) ).

cnf(u243,axiom,
    ( on(c,monday)
    | on(b,friday) ) ).

cnf(staurday_follows_friday,axiom,
    consecutive(friday,saturday) ).

cnf(wednesday_not_thursday,axiom,
    ~ same_day(wednesday,thursday) ).

cnf(tuesday_not_thursday,axiom,
    ~ same_day(tuesday,thursday) ).

cnf(sunday_not_saturday,axiom,
    ~ same_day(sunday,saturday) ).

cnf(sunday_follows_saturday,axiom,
    consecutive(saturday,sunday) ).

cnf(all_on_well_defined,axiom,
    ( ~ all_on(X0)
    | ~ all_on(X1)
    | same_day(X0,X1) ) ).

cnf(u174,axiom,
    on(c,thursday) ).

cnf(u52,axiom,
    ( all_on(friday)
    | all_on(wednesday)
    | all_on(tuesday)
    | all_on(monday)
    | all_on(thursday)
    | all_on(sunday) ) ).

cnf(b_off_thursday,axiom,
    ~ on(b,thursday) ).

cnf(monday_not_thursday,axiom,
    ~ same_day(monday,thursday) ).

cnf(sunday_not_tuesday,axiom,
    ~ same_day(sunday,tuesday) ).

cnf(wednesday_follows_tuesday,axiom,
    consecutive(tuesday,wednesday) ).

cnf(all_on_a_on,axiom,
    ( ~ all_on(X0)
    | on(a,X0) ) ).

cnf(u145,axiom,
    on(a,monday) ).

cnf(no_two_off_twice_together,axiom,
    ( same_person(X0,X3)
    | same_day(X1,X2)
    | on(X3,X2)
    | on(X3,X1)
    | on(X0,X2)
    | on(X0,X1) ) ).

cnf(friday_not_saturday,axiom,
    ~ same_day(friday,saturday) ).

cnf(tuesday_not_friday,axiom,
    ~ same_day(tuesday,friday) ).

cnf(u75,axiom,
    ( ~ consecutive(X0,wednesday)
    | ~ on(X1,wednesday)
    | ~ on(X1,thursday)
    | ~ on(X1,X0) ) ).

cnf(u64,axiom,
    ( ~ consecutive(wednesday,X0)
    | ~ consecutive(X1,tuesday)
    | ~ on(X2,tuesday)
    | ~ on(X2,wednesday)
    | ~ on(X2,X1) ) ).

cnf(u53,axiom,
    ( ~ all_on(X0)
    | all_on(tuesday)
    | all_on(monday)
    | all_on(thursday)
    | all_on(sunday)
    | all_on(wednesday)
    | same_day(friday,X0) ) ).

cnf(wednesday_not_friday,axiom,
    ~ same_day(wednesday,friday) ).

cnf(u87,axiom,
    ( ~ consecutive(X0,saturday)
    | ~ on(X1,saturday)
    | ~ on(X1,sunday)
    | ~ on(X1,X0) ) ).

cnf(u76,axiom,
    ( same_day(X0,X1)
    | on(b,X1)
    | on(b,X0)
    | on(a,X1)
    | on(a,X0) ) ).

cnf(u69,axiom,
    ( ~ consecutive(X0,sunday)
    | ~ on(X1,sunday)
    | ~ on(X1,monday)
    | ~ on(X1,X0) ) ).

cnf(u56,axiom,
    ( on(a,friday)
    | all_on(tuesday)
    | all_on(monday)
    | all_on(thursday)
    | all_on(sunday)
    | all_on(wednesday) ) ).

cnf(u238,axiom,
    ( on(b,wednesday)
    | on(a,friday) ) ).

cnf(u116,axiom,
    on(b,sunday) ).

cnf(u72,axiom,
    ( ~ on(X0,tuesday)
    | ~ on(X0,monday)
    | ~ on(X0,sunday) ) ).

cnf(u65,axiom,
    ( ~ consecutive(thursday,X0)
    | ~ consecutive(X1,wednesday)
    | ~ on(X2,wednesday)
    | ~ on(X2,thursday)
    | ~ on(X2,X1) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PUZ018-2 : TPTP v8.1.2. Released v1.2.0.
% 0.14/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 18:03:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.35  % (29518)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (29519)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.37  % (29521)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.37  % (29520)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37  % (29522)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.37  % (29523)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.37  % (29524)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.37  % (29525)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.37  Detected minimum model sizes of [1]
% 0.21/0.37  Detected maximum model sizes of [10]
% 0.21/0.37  TRYING [1]
% 0.21/0.37  Detected minimum model sizes of [1]
% 0.21/0.37  Detected maximum model sizes of [10]
% 0.21/0.37  TRYING [1]
% 0.21/0.37  TRYING [2]
% 0.21/0.37  Detected minimum model sizes of [1,1]
% 0.21/0.37  Detected maximum model sizes of [7,7]
% 0.21/0.37  TRYING [1,1]
% 0.21/0.37  Detected minimum model sizes of [1,1]
% 0.21/0.37  Detected maximum model sizes of [7,7]
% 0.21/0.37  TRYING [1,1]
% 0.21/0.37  TRYING [2]
% 0.21/0.37  TRYING [2,2]
% 0.21/0.37  TRYING [3]
% 0.21/0.37  TRYING [2,2]
% 0.21/0.37  TRYING [3]
% 0.21/0.37  TRYING [4]
% 0.21/0.37  TRYING [3,2]
% 0.21/0.37  TRYING [3,2]
% 0.21/0.37  TRYING [4]
% 0.21/0.37  % (29523)First to succeed.
% 0.21/0.37  TRYING [3,3]
% 0.21/0.37  TRYING [5]
% 0.21/0.37  TRYING [3,3]
% 0.21/0.37  % (29523)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29518"
% 0.21/0.37  TRYING [5]
% 0.21/0.37  % (29521)Also succeeded, but the first one will report.
% 0.21/0.37  % SZS status Satisfiable for theBenchmark
% 0.21/0.37  % (29523)# SZS output start Saturation.
% See solution above
% 0.21/0.37  % (29523)------------------------------
% 0.21/0.37  % (29523)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.37  % (29523)Termination reason: Satisfiable
% 0.21/0.37  
% 0.21/0.37  % (29523)Memory used [KB]: 781
% 0.21/0.37  % (29523)Time elapsed: 0.006 s
% 0.21/0.37  % (29523)Instructions burned: 10 (million)
% 0.21/0.37  % (29518)Success in time 0.008 s
%------------------------------------------------------------------------------