TSTP Solution File: PUZ018_10 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : PUZ018_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n025.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 : Tue May 21 02:25:51 EDT 2024

% Result   : Satisfiable 0.19s 0.53s
% Output   : Saturation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_50)

% Comments : 
%------------------------------------------------------------------------------
tcf(c_0_52,hypothesis,
    ! [X1: day,X2: day,X3: person,X5: day,X4: day] :
      ( ~ consecutive(X1,X2)
      | ~ consecutive(X2,X4)
      | ~ consecutive(X4,X5)
      | ~ on(X3,X1)
      | ~ on(X3,X2)
      | ~ on(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_48]),
    [final] ).

tcf(c_0_53,plain,
    consecutive(thursday,friday),
    inference(split_conjunct,[status(thm)],[friday_follows_thursday]),
    [final] ).

tcf(c_0_55,plain,
    ~ same_person(b,c),
    inference(split_conjunct,[status(thm)],[c_0_50]),
    [final] ).

tcf(c_0_56,hypothesis,
    ! [X1: day,X6: person,X3: person,X2: day] :
      ( on(X3,X1)
      | on(X3,X2)
      | on(X6,X1)
      | on(X6,X2)
      | same_person(X3,X6)
      | same_day(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_51]),
    [final] ).

tcf(c_0_60,hypothesis,
    ! [X1: day,X3: person,X2: day] :
      ( ~ consecutive(X1,thursday)
      | ~ consecutive(X2,X1)
      | ~ on(X3,thursday)
      | ~ on(X3,X1)
      | ~ on(X3,X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]),
    [final] ).

tcf(c_0_61,plain,
    consecutive(tuesday,wednesday),
    inference(split_conjunct,[status(thm)],[wednesday_follows_tuesday]),
    [final] ).

tcf(c_0_62,plain,
    consecutive(wednesday,thursday),
    inference(split_conjunct,[status(thm)],[thursday_follows_wednesday]),
    [final] ).

tcf(c_0_63,hypothesis,
    ~ on(c,sunday),
    inference(split_conjunct,[status(thm)],[c_0_54]),
    [final] ).

tcf(c_0_64,hypothesis,
    ! [X1: day,X2: day] :
      ( same_day(X1,X2)
      | on(b,X1)
      | on(b,X2)
      | on(c,X1)
      | on(c,X2) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]),
    [final] ).

tcf(c_0_70,hypothesis,
    ! [X3: person] :
      ( ~ on(X3,thursday)
      | ~ on(X3,wednesday)
      | ~ on(X3,tuesday) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]),
    [final] ).

tcf(c_0_72,plain,
    ~ same_day(sunday,thursday),
    inference(split_conjunct,[status(thm)],[c_0_65]),
    [final] ).

tcf(c_0_73,hypothesis,
    ~ on(b,thursday),
    inference(split_conjunct,[status(thm)],[c_0_66]),
    [final] ).

tcf(c_0_75,plain,
    ~ same_person(a,c),
    inference(split_conjunct,[status(thm)],[c_0_68]),
    [final] ).

tcf(c_0_81,plain,
    ~ same_day(sunday,wednesday),
    inference(split_conjunct,[status(thm)],[c_0_74]),
    [final] ).

tcf(c_0_82,hypothesis,
    ! [X1: day,X2: day] :
      ( same_day(X1,X2)
      | on(a,X1)
      | on(a,X2)
      | on(c,X1)
      | on(c,X2) ),
    inference(spm,[status(thm)],[c_0_75,c_0_56]),
    [final] ).

tcf(c_0_83,hypothesis,
    ~ on(a,sunday),
    inference(split_conjunct,[status(thm)],[c_0_76]),
    [final] ).

tcf(c_0_89,hypothesis,
    ! [X1: day,X3: person,X2: day] :
      ( ~ consecutive(X1,wednesday)
      | ~ consecutive(X2,X1)
      | ~ on(X3,wednesday)
      | ~ on(X3,X1)
      | ~ on(X3,X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_62]),
    [final] ).

tcf(c_0_90,plain,
    consecutive(monday,tuesday),
    inference(split_conjunct,[status(thm)],[tuesday_follows_monday]),
    [final] ).

tcf(c_0_92,hypothesis,
    ! [X1: day] :
      ( same_day(sunday,X1)
      | on(c,X1)
      | on(a,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_82]),c_0_83]),
    [final] ).

tcf(c_0_93,plain,
    ~ same_day(sunday,tuesday),
    inference(split_conjunct,[status(thm)],[c_0_84]),
    [final] ).

tcf(c_0_94,hypothesis,
    ~ on(a,tuesday),
    inference(split_conjunct,[status(thm)],[c_0_85]),
    [final] ).

tcf(c_0_95,hypothesis,
    ! [X1: day,X3: person,X2: day] :
      ( ~ consecutive(X1,tuesday)
      | ~ consecutive(X2,X1)
      | ~ on(X3,tuesday)
      | ~ on(X3,X1)
      | ~ on(X3,X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_61]),
    [final] ).

tcf(c_0_96,plain,
    consecutive(sunday,monday),
    inference(split_conjunct,[status(thm)],[monday_follows_sunday]),
    [final] ).

tcf(c_0_97,plain,
    ~ same_person(a,b),
    inference(split_conjunct,[status(thm)],[c_0_86]),
    [final] ).

tcf(c_0_100,plain,
    consecutive(friday,saturday),
    inference(split_conjunct,[status(thm)],[staurday_follows_friday]),
    [final] ).

tcf(c_0_103,plain,
    ! [X1: day] :
      ( on(b,X1)
      | ~ all_on(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]),
    [final] ).

tcf(c_0_104,hypothesis,
    ( all_on(sunday)
    | all_on(monday)
    | all_on(tuesday)
    | all_on(wednesday)
    | all_on(thursday)
    | all_on(friday)
    | all_on(saturday) ),
    inference(split_conjunct,[status(thm)],[all_on_one_day]),
    [final] ).

tcf(c_0_105,hypothesis,
    ! [X3: person] :
      ( ~ on(X3,wednesday)
      | ~ on(X3,tuesday)
      | ~ on(X3,monday) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_61])]),
    [final] ).

tcf(c_0_107,hypothesis,
    ! [X3: person] :
      ( ~ on(X3,tuesday)
      | ~ on(X3,monday)
      | ~ on(X3,sunday) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_90])]),
    [final] ).

tcf(c_0_108,hypothesis,
    ! [X1: day,X2: day] :
      ( same_day(X1,X2)
      | on(a,X1)
      | on(a,X2)
      | on(b,X1)
      | on(b,X2) ),
    inference(spm,[status(thm)],[c_0_97,c_0_56]),
    [final] ).

tcf(c_0_109,hypothesis,
    ~ on(a,thursday),
    inference(split_conjunct,[status(thm)],[c_0_98]),
    [final] ).

tcf(c_0_112,hypothesis,
    ! [X1: day,X3: person,X2: day] :
      ( ~ consecutive(X1,friday)
      | ~ consecutive(X2,X1)
      | ~ on(X3,friday)
      | ~ on(X3,X1)
      | ~ on(X3,X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_100]),
    [final] ).

tcf(c_0_114,plain,
    ! [X1: day] :
      ( on(c,X1)
      | ~ all_on(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_102]),
    [final] ).

tcf(c_0_117,hypothesis,
    ! [X1: day] :
      ( same_day(X1,thursday)
      | on(b,X1)
      | on(a,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_108]),c_0_109]),
    [final] ).

tcf(c_0_118,plain,
    ~ same_day(tuesday,thursday),
    inference(split_conjunct,[status(thm)],[c_0_110]),
    [final] ).

tcf(c_0_120,plain,
    ! [X1: day] :
      ( on(a,X1)
      | ~ all_on(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_111]),
    [final] ).

tcf(c_0_121,hypothesis,
    ! [X3: person] :
      ( ~ on(X3,friday)
      | ~ on(X3,thursday)
      | ~ on(X3,wednesday) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_62]),c_0_53])]),
    [final] ).

tcf(c_0_122,plain,
    ~ same_day(sunday,friday),
    inference(split_conjunct,[status(thm)],[c_0_113]),
    [final] ).

tcf(c_0_124,hypothesis,
    ~ on(b,monday),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),c_0_94]),
    [final] ).

tcf(c_0_126,hypothesis,
    ( on(c,friday)
    | all_on(saturday)
    | all_on(sunday)
    | all_on(thursday)
    | all_on(wednesday)
    | all_on(tuesday)
    | all_on(monday) ),
    inference(spm,[status(thm)],[c_0_114,c_0_104]),
    [final] ).

tcf(c_0_130,hypothesis,
    ~ on(b,saturday),
    inference(split_conjunct,[status(thm)],[c_0_125]),
    [final] ).

tcf(c_0_138,plain,
    ! [X1: day,X2: day] :
      ( same_day(X1,X2)
      | ~ all_on(X1)
      | ~ all_on(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_132]),
    [final] ).

tcf(c_0_141,plain,
    consecutive(saturday,sunday),
    inference(split_conjunct,[status(thm)],[sunday_follows_saturday]),
    [final] ).

tcf(c_0_145,hypothesis,
    ! [X1: day] :
      ( same_day(X1,friday)
      | all_on(saturday)
      | all_on(sunday)
      | all_on(thursday)
      | all_on(wednesday)
      | all_on(tuesday)
      | all_on(monday)
      | ~ all_on(X1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_104]),
    [final] ).

tcf(c_0_146,hypothesis,
    ! [X1: day] :
      ( same_day(friday,X1)
      | all_on(saturday)
      | all_on(sunday)
      | all_on(thursday)
      | all_on(wednesday)
      | all_on(tuesday)
      | all_on(monday)
      | ~ all_on(X1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_104]),
    [final] ).

tcf(c_0_149,hypothesis,
    ! [X1: day,X3: person,X2: day] :
      ( ~ consecutive(X1,saturday)
      | ~ consecutive(X2,X1)
      | ~ on(X3,saturday)
      | ~ on(X3,X1)
      | ~ on(X3,X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_141]),
    [final] ).

tcf(c_0_151,hypothesis,
    ( ~ on(c,wednesday)
    | ~ on(c,tuesday) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_92]),c_0_72]),c_0_109]),
    [final] ).

tcf(c_0_163,hypothesis,
    ! [X3: person] :
      ( ~ on(X3,saturday)
      | ~ on(X3,friday)
      | ~ on(X3,thursday) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_53]),c_0_100])]),
    [final] ).

tcf(c_0_168,plain,
    ~ same_day(sunday,saturday),
    inference(split_conjunct,[status(thm)],[c_0_154]),
    [final] ).

tcf(c_0_179,hypothesis,
    ( on(c,wednesday)
    | on(c,friday) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_164]),c_0_109]),
    [final] ).

tcf(c_0_182,plain,
    ~ same_day(wednesday,saturday),
    inference(split_conjunct,[status(thm)],[c_0_166]),
    [final] ).

tcf(c_0_190,plain,
    ! [X1: day] :
      ( all_on(X1)
      | ~ on(a,X1)
      | ~ on(b,X1)
      | ~ on(c,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_174]),
    [final] ).

tcf(c_0_191,hypothesis,
    on(a,friday),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_175]),c_0_109]),
    [final] ).

tcf(c_0_192,hypothesis,
    on(b,friday),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_92]),c_0_93]),c_0_94]),
    [final] ).

tcf(c_0_207,hypothesis,
    ( all_on(friday)
    | ~ on(c,friday) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_192])]),
    [final] ).

tcf(c_0_211,hypothesis,
    on(a,wednesday),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_92]),c_0_93]),c_0_94]),
    [final] ).

tcf(c_0_233,hypothesis,
    ( on(c,wednesday)
    | all_on(friday) ),
    inference(spm,[status(thm)],[c_0_207,c_0_179]),
    [final] ).

tcf(c_0_238,hypothesis,
    on(b,wednesday),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_92]),c_0_72]),c_0_109]),
    [final] ).

tcf(c_0_239,hypothesis,
    ! [X1: day,X3: person,X2: day] :
      ( ~ consecutive(X1,monday)
      | ~ consecutive(X2,X1)
      | ~ on(X3,monday)
      | ~ on(X3,X1)
      | ~ on(X3,X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_90]),
    [final] ).

tcf(c_0_240,hypothesis,
    ! [X1: day,X3: person,X2: day] :
      ( ~ consecutive(X1,sunday)
      | ~ consecutive(X2,X1)
      | ~ on(X3,sunday)
      | ~ on(X3,X1)
      | ~ on(X3,X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_96]),
    [final] ).

tcf(c_0_254,hypothesis,
    ! [X1: day] :
      ( same_day(thursday,X1)
      | on(b,X1)
      | on(a,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_108]),c_0_109]),
    [final] ).

tcf(c_0_255,plain,
    ~ same_day(thursday,saturday),
    inference(split_conjunct,[status(thm)],[c_0_226]),
    [final] ).

tcf(c_0_256,plain,
    ~ same_day(monday,thursday),
    inference(split_conjunct,[status(thm)],[c_0_227]),
    [final] ).

tcf(c_0_259,hypothesis,
    ! [X1: day,X2: day] :
      ( same_day(X1,wednesday)
      | same_day(X2,friday)
      | ~ all_on(X1)
      | ~ all_on(X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_228]),c_0_109]),
    [final] ).

tcf(c_0_260,hypothesis,
    ! [X1: day,X2: day] :
      ( same_day(wednesday,X1)
      | same_day(X2,friday)
      | ~ all_on(X1)
      | ~ all_on(X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_229]),c_0_109]),
    [final] ).

tcf(c_0_261,hypothesis,
    ! [X1: day,X2: day] :
      ( same_day(X1,wednesday)
      | same_day(friday,X2)
      | ~ all_on(X1)
      | ~ all_on(X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_230]),c_0_109]),
    [final] ).

tcf(c_0_262,hypothesis,
    ! [X1: day,X2: day] :
      ( same_day(wednesday,X1)
      | same_day(friday,X2)
      | ~ all_on(X1)
      | ~ all_on(X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_231]),c_0_109]),
    [final] ).

tcf(c_0_263,hypothesis,
    ! [X1: day] :
      ( same_day(X1,wednesday)
      | on(c,friday)
      | ~ all_on(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_232]),c_0_109]),
    [final] ).

tcf(c_0_264,hypothesis,
    ! [X1: day] :
      ( same_day(X1,friday)
      | on(c,wednesday)
      | ~ all_on(X1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_233]),
    [final] ).

tcf(c_0_265,hypothesis,
    ! [X1: day] :
      ( same_day(friday,X1)
      | on(c,wednesday)
      | ~ all_on(X1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_233]),
    [final] ).

tcf(c_0_266,hypothesis,
    ! [X1: day] :
      ( same_day(wednesday,X1)
      | on(c,friday)
      | ~ all_on(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_234]),c_0_109]),
    [final] ).

tcf(c_0_267,hypothesis,
    ! [X1: day] :
      ( same_day(saturday,X1)
      | on(c,X1)
      | on(b,X1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_92]),c_0_93]),c_0_94]),
    [final] ).

tcf(c_0_268,hypothesis,
    ! [X1: day] :
      ( same_day(X1,saturday)
      | on(c,X1)
      | on(b,X1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_92]),c_0_93]),c_0_94]),
    [final] ).

tcf(c_0_269,hypothesis,
    ( all_on(wednesday)
    | ~ on(c,wednesday) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_238])]),
    [final] ).

tcf(c_0_270,hypothesis,
    ! [X1: day] :
      ( same_day(X1,sunday)
      | on(c,X1)
      | on(a,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_82]),c_0_83]),
    [final] ).

tcf(c_0_271,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(thursday,monday)
      | ~ on(X3,monday)
      | ~ on(X3,thursday)
      | ~ on(X3,wednesday) ),
    inference(spm,[status(thm)],[c_0_239,c_0_62]),
    [final] ).

tcf(c_0_272,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(friday,monday)
      | ~ on(X3,monday)
      | ~ on(X3,friday)
      | ~ on(X3,thursday) ),
    inference(spm,[status(thm)],[c_0_239,c_0_53]),
    [final] ).

tcf(c_0_273,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(saturday,monday)
      | ~ on(X3,monday)
      | ~ on(X3,saturday)
      | ~ on(X3,friday) ),
    inference(spm,[status(thm)],[c_0_239,c_0_100]),
    [final] ).

tcf(c_0_274,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(tuesday,monday)
      | ~ on(X3,monday)
      | ~ on(X3,tuesday) ),
    inference(spm,[status(thm)],[c_0_239,c_0_90]),
    [final] ).

tcf(c_0_275,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(monday,monday)
      | ~ on(X3,monday)
      | ~ on(X3,sunday) ),
    inference(spm,[status(thm)],[c_0_239,c_0_96]),
    [final] ).

tcf(c_0_276,hypothesis,
    ! [X3: person] :
      ( ~ on(X3,monday)
      | ~ on(X3,sunday)
      | ~ on(X3,saturday) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_141]),c_0_96])]),
    [final] ).

tcf(c_0_277,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(friday,tuesday)
      | ~ on(X3,tuesday)
      | ~ on(X3,friday)
      | ~ on(X3,thursday) ),
    inference(spm,[status(thm)],[c_0_95,c_0_53]),
    [final] ).

tcf(c_0_278,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(saturday,tuesday)
      | ~ on(X3,tuesday)
      | ~ on(X3,saturday)
      | ~ on(X3,friday) ),
    inference(spm,[status(thm)],[c_0_95,c_0_100]),
    [final] ).

tcf(c_0_279,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(sunday,tuesday)
      | ~ on(X3,tuesday)
      | ~ on(X3,sunday)
      | ~ on(X3,saturday) ),
    inference(spm,[status(thm)],[c_0_95,c_0_141]),
    [final] ).

tcf(c_0_280,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(tuesday,tuesday)
      | ~ on(X3,tuesday)
      | ~ on(X3,monday) ),
    inference(spm,[status(thm)],[c_0_95,c_0_90]),
    [final] ).

tcf(c_0_281,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(wednesday,tuesday)
      | ~ on(X3,tuesday)
      | ~ on(X3,wednesday) ),
    inference(spm,[status(thm)],[c_0_95,c_0_61]),
    [final] ).

tcf(c_0_282,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(saturday,wednesday)
      | ~ on(X3,wednesday)
      | ~ on(X3,saturday)
      | ~ on(X3,friday) ),
    inference(spm,[status(thm)],[c_0_89,c_0_100]),
    [final] ).

tcf(c_0_283,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(monday,wednesday)
      | ~ on(X3,wednesday)
      | ~ on(X3,monday)
      | ~ on(X3,sunday) ),
    inference(spm,[status(thm)],[c_0_89,c_0_96]),
    [final] ).

tcf(c_0_284,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(sunday,wednesday)
      | ~ on(X3,wednesday)
      | ~ on(X3,sunday)
      | ~ on(X3,saturday) ),
    inference(spm,[status(thm)],[c_0_89,c_0_141]),
    [final] ).

tcf(c_0_285,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(tuesday,thursday)
      | ~ on(X3,thursday)
      | ~ on(X3,tuesday)
      | ~ on(X3,monday) ),
    inference(spm,[status(thm)],[c_0_60,c_0_90]),
    [final] ).

tcf(c_0_286,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(monday,thursday)
      | ~ on(X3,thursday)
      | ~ on(X3,monday)
      | ~ on(X3,sunday) ),
    inference(spm,[status(thm)],[c_0_60,c_0_96]),
    [final] ).

tcf(c_0_287,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(wednesday,wednesday)
      | ~ on(X3,wednesday)
      | ~ on(X3,tuesday) ),
    inference(spm,[status(thm)],[c_0_89,c_0_61]),
    [final] ).

tcf(c_0_288,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(thursday,wednesday)
      | ~ on(X3,wednesday)
      | ~ on(X3,thursday) ),
    inference(spm,[status(thm)],[c_0_89,c_0_62]),
    [final] ).

tcf(c_0_289,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(sunday,thursday)
      | ~ on(X3,thursday)
      | ~ on(X3,sunday)
      | ~ on(X3,saturday) ),
    inference(spm,[status(thm)],[c_0_60,c_0_141]),
    [final] ).

tcf(c_0_290,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(tuesday,friday)
      | ~ on(X3,friday)
      | ~ on(X3,tuesday)
      | ~ on(X3,monday) ),
    inference(spm,[status(thm)],[c_0_112,c_0_90]),
    [final] ).

tcf(c_0_291,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(wednesday,friday)
      | ~ on(X3,friday)
      | ~ on(X3,wednesday)
      | ~ on(X3,tuesday) ),
    inference(spm,[status(thm)],[c_0_112,c_0_61]),
    [final] ).

tcf(c_0_292,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(monday,friday)
      | ~ on(X3,friday)
      | ~ on(X3,monday)
      | ~ on(X3,sunday) ),
    inference(spm,[status(thm)],[c_0_112,c_0_96]),
    [final] ).

tcf(c_0_293,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(thursday,thursday)
      | ~ on(X3,thursday)
      | ~ on(X3,wednesday) ),
    inference(spm,[status(thm)],[c_0_60,c_0_62]),
    [final] ).

tcf(c_0_294,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(friday,thursday)
      | ~ on(X3,thursday)
      | ~ on(X3,friday) ),
    inference(spm,[status(thm)],[c_0_60,c_0_53]),
    [final] ).

tcf(c_0_295,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(friday,friday)
      | ~ on(X3,friday)
      | ~ on(X3,thursday) ),
    inference(spm,[status(thm)],[c_0_112,c_0_53]),
    [final] ).

tcf(c_0_296,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(saturday,friday)
      | ~ on(X3,friday)
      | ~ on(X3,saturday) ),
    inference(spm,[status(thm)],[c_0_112,c_0_100]),
    [final] ).

tcf(c_0_297,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(wednesday,sunday)
      | ~ on(X3,sunday)
      | ~ on(X3,wednesday)
      | ~ on(X3,tuesday) ),
    inference(spm,[status(thm)],[c_0_240,c_0_61]),
    [final] ).

tcf(c_0_298,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(thursday,sunday)
      | ~ on(X3,sunday)
      | ~ on(X3,thursday)
      | ~ on(X3,wednesday) ),
    inference(spm,[status(thm)],[c_0_240,c_0_62]),
    [final] ).

tcf(c_0_299,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(friday,sunday)
      | ~ on(X3,sunday)
      | ~ on(X3,friday)
      | ~ on(X3,thursday) ),
    inference(spm,[status(thm)],[c_0_240,c_0_53]),
    [final] ).

tcf(c_0_300,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(monday,sunday)
      | ~ on(X3,sunday)
      | ~ on(X3,monday) ),
    inference(spm,[status(thm)],[c_0_240,c_0_96]),
    [final] ).

tcf(c_0_301,hypothesis,
    ! [X3: person] :
      ( ~ on(X3,sunday)
      | ~ on(X3,saturday)
      | ~ on(X3,friday) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_100]),c_0_141])]),
    [final] ).

tcf(c_0_302,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(sunday,sunday)
      | ~ on(X3,sunday)
      | ~ on(X3,saturday) ),
    inference(spm,[status(thm)],[c_0_240,c_0_141]),
    [final] ).

tcf(c_0_303,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(tuesday,saturday)
      | ~ on(X3,saturday)
      | ~ on(X3,tuesday)
      | ~ on(X3,monday) ),
    inference(spm,[status(thm)],[c_0_149,c_0_90]),
    [final] ).

tcf(c_0_304,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(wednesday,saturday)
      | ~ on(X3,saturday)
      | ~ on(X3,wednesday)
      | ~ on(X3,tuesday) ),
    inference(spm,[status(thm)],[c_0_149,c_0_61]),
    [final] ).

tcf(c_0_305,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(thursday,saturday)
      | ~ on(X3,saturday)
      | ~ on(X3,thursday)
      | ~ on(X3,wednesday) ),
    inference(spm,[status(thm)],[c_0_149,c_0_62]),
    [final] ).

tcf(c_0_306,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(saturday,saturday)
      | ~ on(X3,saturday)
      | ~ on(X3,friday) ),
    inference(spm,[status(thm)],[c_0_149,c_0_100]),
    [final] ).

tcf(c_0_307,hypothesis,
    ! [X3: person] :
      ( ~ consecutive(sunday,saturday)
      | ~ on(X3,saturday)
      | ~ on(X3,sunday) ),
    inference(spm,[status(thm)],[c_0_149,c_0_141]),
    [final] ).

tcf(c_0_308,plain,
    ~ same_day(sunday,monday),
    inference(split_conjunct,[status(thm)],[c_0_241]),
    [final] ).

tcf(c_0_309,plain,
    ~ same_day(friday,saturday),
    inference(split_conjunct,[status(thm)],[c_0_242]),
    [final] ).

tcf(c_0_310,plain,
    ~ same_day(thursday,friday),
    inference(split_conjunct,[status(thm)],[c_0_243]),
    [final] ).

tcf(c_0_311,plain,
    ~ same_day(wednesday,friday),
    inference(split_conjunct,[status(thm)],[c_0_244]),
    [final] ).

tcf(c_0_312,plain,
    ~ same_day(wednesday,thursday),
    inference(split_conjunct,[status(thm)],[c_0_245]),
    [final] ).

tcf(c_0_313,plain,
    ~ same_day(tuesday,saturday),
    inference(split_conjunct,[status(thm)],[c_0_246]),
    [final] ).

tcf(c_0_314,plain,
    ~ same_day(tuesday,friday),
    inference(split_conjunct,[status(thm)],[c_0_247]),
    [final] ).

tcf(c_0_315,plain,
    ~ same_day(tuesday,wednesday),
    inference(split_conjunct,[status(thm)],[c_0_248]),
    [final] ).

tcf(c_0_316,plain,
    ~ same_day(monday,saturday),
    inference(split_conjunct,[status(thm)],[c_0_249]),
    [final] ).

tcf(c_0_317,plain,
    ~ same_day(monday,friday),
    inference(split_conjunct,[status(thm)],[c_0_250]),
    [final] ).

tcf(c_0_318,plain,
    ~ same_day(monday,wednesday),
    inference(split_conjunct,[status(thm)],[c_0_251]),
    [final] ).

tcf(c_0_319,plain,
    ~ same_day(monday,tuesday),
    inference(split_conjunct,[status(thm)],[c_0_252]),
    [final] ).

tcf(c_0_320,hypothesis,
    on(b,sunday),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_92]),c_0_93]),c_0_94]),
    [final] ).

tcf(c_0_321,hypothesis,
    on(a,saturday),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_254]),c_0_255]),
    [final] ).

tcf(c_0_322,hypothesis,
    on(a,monday),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_117]),c_0_256]),
    [final] ).

tcf(c_0_323,plain,
    ! [X3: person] : same_person(X3,X3),
    inference(split_conjunct,[status(thm)],[c_0_257]),
    [final] ).

tcf(c_0_324,plain,
    ! [X1: day] : same_day(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_258]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PUZ018_10 : TPTP v8.2.0. Released v8.2.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n025.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   : Sat May 18 10:54:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  Running first-order model finding
% 0.19/0.48  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53  # Version: 3.1.0
% 0.19/0.53  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.19/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.19/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.53  # Starting sh5l with 300s (1) cores
% 0.19/0.53  # sh5l with pid 16458 completed with status 8
% 0.19/0.53  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 16455 completed with status 1
% 0.19/0.53  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.19/0.53  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.19/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.19/0.53  # No SInE strategy applied
% 0.19/0.53  # Search class: FGHNS-FFMM00-SFFFFFNN
% 0.19/0.53  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.53  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 811s (1) cores
% 0.19/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.19/0.53  # Starting new_bool_3 with 136s (1) cores
% 0.19/0.53  # Starting new_bool_1 with 136s (1) cores
% 0.19/0.53  # Starting sh5l with 136s (1) cores
% 0.19/0.53  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 16463 completed with status 1
% 0.19/0.53  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 0.19/0.53  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.19/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.19/0.53  # No SInE strategy applied
% 0.19/0.53  # Search class: FGHNS-FFMM00-SFFFFFNN
% 0.19/0.53  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.53  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 811s (1) cores
% 0.19/0.53  # Preprocessing time       : 0.001 s
% 0.19/0.53  # Presaturation interreduction done
% 0.19/0.53  
% 0.19/0.53  # No proof found!
% 0.19/0.53  # SZS status Satisfiable
% 0.19/0.53  # SZS output start Saturation
% See solution above
% 0.19/0.53  # Parsed axioms                        : 64
% 0.19/0.53  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.53  # Initial clauses                      : 64
% 0.19/0.53  # Removed in clause preprocessing      : 17
% 0.19/0.53  # Initial clauses in saturation        : 47
% 0.19/0.53  # Processed clauses                    : 498
% 0.19/0.53  # ...of these trivial                  : 37
% 0.19/0.53  # ...subsumed                          : 162
% 0.19/0.53  # ...remaining for further processing  : 299
% 0.19/0.53  # Other redundant clauses eliminated   : 0
% 0.19/0.53  # Clauses deleted for lack of memory   : 0
% 0.19/0.53  # Backward-subsumed                    : 99
% 0.19/0.53  # Backward-rewritten                   : 24
% 0.19/0.53  # Generated clauses                    : 1786
% 0.19/0.53  # ...of the previous two non-redundant : 1445
% 0.19/0.53  # ...aggressively subsumed             : 0
% 0.19/0.53  # Contextual simplify-reflections      : 2
% 0.19/0.53  # Paramodulations                      : 1776
% 0.19/0.53  # Factorizations                       : 10
% 0.19/0.53  # NegExts                              : 0
% 0.19/0.53  # Equation resolutions                 : 0
% 0.19/0.53  # Disequality decompositions           : 0
% 0.19/0.53  # Total rewrite steps                  : 417
% 0.19/0.53  # ...of those cached                   : 396
% 0.19/0.53  # Propositional unsat checks           : 0
% 0.19/0.53  #    Propositional check models        : 0
% 0.19/0.53  #    Propositional check unsatisfiable : 0
% 0.19/0.53  #    Propositional clauses             : 0
% 0.19/0.53  #    Propositional clauses after purity: 0
% 0.19/0.53  #    Propositional unsat core size     : 0
% 0.19/0.53  #    Propositional preprocessing time  : 0.000
% 0.19/0.53  #    Propositional encoding time       : 0.000
% 0.19/0.53  #    Propositional solver time         : 0.000
% 0.19/0.53  #    Success case prop preproc time    : 0.000
% 0.19/0.53  #    Success case prop encoding time   : 0.000
% 0.19/0.53  #    Success case prop solver time     : 0.000
% 0.19/0.53  # Current number of processed clauses  : 129
% 0.19/0.53  #    Positive orientable unit clauses  : 16
% 0.19/0.53  #    Positive unorientable unit clauses: 0
% 0.19/0.53  #    Negative unit clauses             : 31
% 0.19/0.53  #    Non-unit-clauses                  : 82
% 0.19/0.53  # Current number of unprocessed clauses: 0
% 0.19/0.53  # ...number of literals in the above   : 0
% 0.19/0.53  # Current number of archived formulas  : 0
% 0.19/0.53  # Current number of archived clauses   : 170
% 0.19/0.53  # Clause-clause subsumption calls (NU) : 3939
% 0.19/0.53  # Rec. Clause-clause subsumption calls : 986
% 0.19/0.53  # Non-unit clause-clause subsumptions  : 204
% 0.19/0.53  # Unit Clause-clause subsumption calls : 318
% 0.19/0.53  # Rewrite failures with RHS unbound    : 0
% 0.19/0.53  # BW rewrite match attempts            : 32
% 0.19/0.53  # BW rewrite match successes           : 6
% 0.19/0.53  # Condensation attempts                : 0
% 0.19/0.53  # Condensation successes               : 0
% 0.19/0.53  # Termbank termtop insertions          : 32843
% 0.19/0.53  # Search garbage collected termcells   : 120
% 0.19/0.53  
% 0.19/0.53  # -------------------------------------------------
% 0.19/0.53  # User time                : 0.035 s
% 0.19/0.53  # System time              : 0.006 s
% 0.19/0.53  # Total time               : 0.041 s
% 0.19/0.53  # Maximum resident set size: 1840 pages
% 0.19/0.53  
% 0.19/0.53  # -------------------------------------------------
% 0.19/0.53  # User time                : 0.185 s
% 0.19/0.53  # System time              : 0.025 s
% 0.19/0.53  # Total time               : 0.210 s
% 0.19/0.53  # Maximum resident set size: 1768 pages
% 0.19/0.53  % E---3.1 exiting
%------------------------------------------------------------------------------