TSTP Solution File: PUZ078+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ078+1 : TPTP v8.1.2. Released v3.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CjWvGXaxGZ true
% Computer : n027.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 : Thu Aug 31 13:31:03 EDT 2023
% Result : Theorem 24.64s 4.24s
% Output : Refutation 24.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 38
% Syntax : Number of formulae : 290 ( 85 unt; 16 typ; 0 def)
% Number of atoms : 734 ( 396 equ; 0 cnn)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 1079 ( 222 ~; 424 |; 25 &; 397 @)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 127 ( 0 ^; 123 !; 4 ?; 127 :)
% Comments :
%------------------------------------------------------------------------------
thf(saturday_type,type,
saturday: $i ).
thf(day1_type,type,
day1: $i > $o ).
thf(consecutive_type,type,
consecutive: $i > $i ).
thf(friday_type,type,
friday: $i ).
thf(sunday_type,type,
sunday: $i ).
thf(thursday_type,type,
thursday: $i ).
thf(wednesday_type,type,
wednesday: $i ).
thf(day2_type,type,
day2: $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(tuesday_type,type,
tuesday: $i ).
thf(monday_type,type,
monday: $i ).
thf(truthday_type,type,
truthday: $i > $o ).
thf(day3_type,type,
day3: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__type,type,
sk_: $i ).
thf(day3_follows_day2,axiom,
! [X: $i] :
( ( day2 @ X )
<=> ( day3 @ ( consecutive @ X ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i] :
( ( day3 @ ( consecutive @ X0 ) )
| ~ ( day2 @ X0 ) ),
inference(cnf,[status(esa)],[day3_follows_day2]) ).
thf(day3_once,axiom,
? [X: $i] : ( day3 @ X ) ).
thf(zip_derived_cl29,plain,
day3 @ sk__3,
inference(cnf,[status(esa)],[day3_once]) ).
thf(day3_unique,axiom,
! [X: $i,Y: $i] :
( ( ( day3 @ X )
& ( day3 @ Y ) )
=> ( X = Y ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ~ ( day3 @ X0 )
| ~ ( day3 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[day3_unique]) ).
thf(zip_derived_cl297,plain,
! [X0: $i] :
( ~ ( day3 @ X0 )
| ( sk__3 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl25]) ).
thf(zip_derived_cl349,plain,
! [X0: $i] :
( ~ ( day2 @ X0 )
| ( sk__3
= ( consecutive @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl297]) ).
thf(wednesday_follows_tuesday,axiom,
( ( consecutive @ tuesday )
= wednesday ) ).
thf(zip_derived_cl32,plain,
( ( consecutive @ tuesday )
= wednesday ),
inference(cnf,[status(esa)],[wednesday_follows_tuesday]) ).
thf(zip_derived_cl645,plain,
( ~ ( day2 @ tuesday )
| ( sk__3 = wednesday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl349,zip_derived_cl32]) ).
thf(statement3,axiom,
! [X: $i] :
( ( day3 @ X )
=> ( ( truthday @ X )
<=> ( ~ ( truthday @ wednesday )
& ~ ( truthday @ friday ) ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ( truthday @ wednesday )
| ( truthday @ friday )
| ( truthday @ X0 )
| ~ ( day3 @ X0 ) ),
inference(cnf,[status(esa)],[statement3]) ).
thf(zip_derived_cl29_001,plain,
day3 @ sk__3,
inference(cnf,[status(esa)],[day3_once]) ).
thf(zip_derived_cl454,plain,
( ( truthday @ sk__3 )
| ( truthday @ friday )
| ( truthday @ wednesday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl48,zip_derived_cl29]) ).
thf(truth_once,axiom,
? [X: $i] : ( truthday @ X ) ).
thf(zip_derived_cl26,plain,
truthday @ sk_,
inference(cnf,[status(esa)],[truth_once]) ).
thf(truth_unique,axiom,
! [X: $i,Y: $i] :
( ( ( truthday @ X )
& ( truthday @ Y ) )
=> ( X = Y ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ~ ( truthday @ X0 )
| ~ ( truthday @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[truth_unique]) ).
thf(zip_derived_cl271,plain,
! [X0: $i] :
( ~ ( truthday @ X0 )
| ( sk_ = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl22]) ).
thf(zip_derived_cl717,plain,
( ( truthday @ wednesday )
| ( truthday @ friday )
| ( sk_ = sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl271]) ).
thf(zip_derived_cl271_002,plain,
! [X0: $i] :
( ~ ( truthday @ X0 )
| ( sk_ = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl22]) ).
thf(zip_derived_cl747,plain,
( ( sk_ = sk__3 )
| ( truthday @ wednesday )
| ( sk_ = friday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl271]) ).
thf(zip_derived_cl271_003,plain,
! [X0: $i] :
( ~ ( truthday @ X0 )
| ( sk_ = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl22]) ).
thf(zip_derived_cl776,plain,
( ( sk_ = friday )
| ( sk_ = sk__3 )
| ( sk_ = wednesday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl747,zip_derived_cl271]) ).
thf(days_of_week,axiom,
! [X: $i] :
( ( X = sunday )
| ( X = saturday )
| ( X = friday )
| ( X = thursday )
| ( X = wednesday )
| ( X = tuesday )
| ( X = monday ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( X0 = sunday )
| ( X0 = saturday )
| ( X0 = friday )
| ( X0 = thursday )
| ( X0 = wednesday )
| ( X0 = tuesday )
| ( X0 = monday ) ),
inference(cnf,[status(esa)],[days_of_week]) ).
thf(tuesday_leo_tells_truths,conjecture,
truthday @ tuesday ).
thf(zf_stmt_0,negated_conjecture,
~ ( truthday @ tuesday ),
inference('cnf.neg',[status(esa)],[tuesday_leo_tells_truths]) ).
thf(zip_derived_cl51,plain,
~ ( truthday @ tuesday ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl238,plain,
! [X0: $i] :
( ( X0 = monday )
| ( X0 = wednesday )
| ( X0 = thursday )
| ( X0 = friday )
| ( X0 = saturday )
| ( X0 = sunday )
| ~ ( truthday @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl51]) ).
thf(zip_derived_cl26_004,plain,
truthday @ sk_,
inference(cnf,[status(esa)],[truth_once]) ).
thf(zip_derived_cl466,plain,
( ( sk_ = sunday )
| ( sk_ = saturday )
| ( sk_ = friday )
| ( sk_ = thursday )
| ( sk_ = wednesday )
| ( sk_ = monday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl238,zip_derived_cl26]) ).
thf(statement1,axiom,
! [X: $i] :
( ( day1 @ X )
=> ( ( truthday @ X )
<=> ( ~ ( truthday @ monday )
& ~ ( truthday @ tuesday ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( truthday @ monday )
| ( truthday @ tuesday )
| ( truthday @ X0 )
| ~ ( day1 @ X0 ) ),
inference(cnf,[status(esa)],[statement1]) ).
thf(zip_derived_cl51_005,plain,
~ ( truthday @ tuesday ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl394,plain,
! [X0: $i] :
( ( truthday @ monday )
| ( truthday @ X0 )
| ~ ( day1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl51]) ).
thf(day1_once,axiom,
? [X: $i] : ( day1 @ X ) ).
thf(zip_derived_cl27,plain,
day1 @ sk__1,
inference(cnf,[status(esa)],[day1_once]) ).
thf(zip_derived_cl395,plain,
( ( truthday @ sk__1 )
| ( truthday @ monday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl394,zip_derived_cl27]) ).
thf(zip_derived_cl271_006,plain,
! [X0: $i] :
( ~ ( truthday @ X0 )
| ( sk_ = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl22]) ).
thf(zip_derived_cl398,plain,
( ( truthday @ monday )
| ( sk_ = sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl271]) ).
thf(zip_derived_cl271_007,plain,
! [X0: $i] :
( ~ ( truthday @ X0 )
| ( sk_ = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl22]) ).
thf(zip_derived_cl402,plain,
( ( sk_ = sk__1 )
| ( sk_ = monday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl271]) ).
thf(zip_derived_cl27_008,plain,
day1 @ sk__1,
inference(cnf,[status(esa)],[day1_once]) ).
thf(zip_derived_cl406,plain,
( ( sk_ = monday )
| ( day1 @ sk_ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl402,zip_derived_cl27]) ).
thf(zip_derived_cl604,plain,
( ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday )
| ( sk_ = friday )
| ( sk_ = saturday )
| ( sunday = monday )
| ( day1 @ sunday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl406]) ).
thf(uniquenames,axiom,
( ( saturday != sunday )
& ( friday != sunday )
& ( friday != saturday )
& ( thursday != sunday )
& ( thursday != saturday )
& ( thursday != friday )
& ( wednesday != sunday )
& ( wednesday != saturday )
& ( wednesday != friday )
& ( wednesday != thursday )
& ( tuesday != sunday )
& ( tuesday != saturday )
& ( tuesday != friday )
& ( tuesday != thursday )
& ( tuesday != wednesday )
& ( monday != sunday )
& ( monday != saturday )
& ( monday != friday )
& ( monday != thursday )
& ( monday != wednesday )
& ( monday != tuesday ) ) ).
thf(zip_derived_cl16,plain,
monday != sunday,
inference(cnf,[status(esa)],[uniquenames]) ).
thf(zip_derived_cl610,plain,
( ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday )
| ( sk_ = friday )
| ( sk_ = saturday )
| ( day1 @ sunday ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl604,zip_derived_cl16]) ).
thf(monday_follows_sunday,axiom,
( ( consecutive @ sunday )
= monday ) ).
thf(zip_derived_cl30,plain,
( ( consecutive @ sunday )
= monday ),
inference(cnf,[status(esa)],[monday_follows_sunday]) ).
thf(day2_follows_day1,axiom,
! [X: $i] :
( ( day1 @ X )
<=> ( day2 @ ( consecutive @ X ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ( day2 @ ( consecutive @ X0 ) )
| ~ ( day1 @ X0 ) ),
inference(cnf,[status(esa)],[day2_follows_day1]) ).
thf(zip_derived_cl319,plain,
( ( day2 @ monday )
| ~ ( day1 @ sunday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl37]) ).
thf(zip_derived_cl2593,plain,
( ( sk_ = saturday )
| ( sk_ = friday )
| ( sk_ = thursday )
| ( sk_ = wednesday )
| ( sk_ = monday )
| ( day2 @ monday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl319]) ).
thf(zip_derived_cl349_009,plain,
! [X0: $i] :
( ~ ( day2 @ X0 )
| ( sk__3
= ( consecutive @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl297]) ).
thf(tuesday_follows_monday,axiom,
( ( consecutive @ monday )
= tuesday ) ).
thf(zip_derived_cl31,plain,
( ( consecutive @ monday )
= tuesday ),
inference(cnf,[status(esa)],[tuesday_follows_monday]) ).
thf(zip_derived_cl644,plain,
( ~ ( day2 @ monday )
| ( sk__3 = tuesday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl349,zip_derived_cl31]) ).
thf(zip_derived_cl9414,plain,
( ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday )
| ( sk_ = friday )
| ( sk_ = saturday )
| ( sk__3 = tuesday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2593,zip_derived_cl644]) ).
thf(zip_derived_cl466_010,plain,
( ( sk_ = sunday )
| ( sk_ = saturday )
| ( sk_ = friday )
| ( sk_ = thursday )
| ( sk_ = wednesday )
| ( sk_ = monday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl238,zip_derived_cl26]) ).
thf(zip_derived_cl26_011,plain,
truthday @ sk_,
inference(cnf,[status(esa)],[truth_once]) ).
thf(zip_derived_cl603,plain,
( ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday )
| ( sk_ = friday )
| ( sk_ = saturday )
| ( truthday @ sunday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl26]) ).
thf(zip_derived_cl454_012,plain,
( ( truthday @ sk__3 )
| ( truthday @ friday )
| ( truthday @ wednesday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl48,zip_derived_cl29]) ).
thf(zip_derived_cl22_013,plain,
! [X0: $i,X1: $i] :
( ~ ( truthday @ X0 )
| ~ ( truthday @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[truth_unique]) ).
thf(zip_derived_cl715,plain,
! [X0: $i] :
( ( truthday @ wednesday )
| ( truthday @ friday )
| ~ ( truthday @ X0 )
| ( sk__3 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl22]) ).
thf(zip_derived_cl271_014,plain,
! [X0: $i] :
( ~ ( truthday @ X0 )
| ( sk_ = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl22]) ).
thf(zip_derived_cl4801,plain,
! [X0: $i] :
( ( sk__3 = X0 )
| ~ ( truthday @ X0 )
| ( truthday @ wednesday )
| ( sk_ = friday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl715,zip_derived_cl271]) ).
thf(zip_derived_cl271_015,plain,
! [X0: $i] :
( ~ ( truthday @ X0 )
| ( sk_ = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl22]) ).
thf(zip_derived_cl4863,plain,
! [X0: $i] :
( ( sk_ = friday )
| ~ ( truthday @ X0 )
| ( sk__3 = X0 )
| ( sk_ = wednesday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4801,zip_derived_cl271]) ).
thf(zip_derived_cl4926,plain,
( ( sk_ = saturday )
| ( sk_ = friday )
| ( sk_ = thursday )
| ( sk_ = wednesday )
| ( sk_ = monday )
| ( sk_ = friday )
| ( sk__3 = sunday )
| ( sk_ = wednesday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl603,zip_derived_cl4863]) ).
thf(zip_derived_cl4933,plain,
( ( sk__3 = sunday )
| ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday )
| ( sk_ = friday )
| ( sk_ = saturday ) ),
inference(simplify,[status(thm)],[zip_derived_cl4926]) ).
thf(zip_derived_cl9604,plain,
( ( sk_ = saturday )
| ( sk_ = friday )
| ( sk_ = thursday )
| ( sk_ = wednesday )
| ( sk_ = monday )
| ( tuesday = sunday )
| ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday )
| ( sk_ = friday )
| ( sk_ = saturday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9414,zip_derived_cl4933]) ).
thf(zip_derived_cl9622,plain,
( ( tuesday = sunday )
| ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday )
| ( sk_ = friday )
| ( sk_ = saturday ) ),
inference(simplify,[status(thm)],[zip_derived_cl9604]) ).
thf(zip_derived_cl11,plain,
tuesday != sunday,
inference(cnf,[status(esa)],[uniquenames]) ).
thf(zip_derived_cl9623,plain,
( ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday )
| ( sk_ = friday )
| ( sk_ = saturday ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9622,zip_derived_cl11]) ).
thf(day2_once,axiom,
? [X: $i] : ( day2 @ X ) ).
thf(zip_derived_cl28,plain,
day2 @ sk__2,
inference(cnf,[status(esa)],[day2_once]) ).
thf(day2_unique,axiom,
! [X: $i,Y: $i] :
( ( ( day2 @ X )
& ( day2 @ Y ) )
=> ( X = Y ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ~ ( day2 @ X0 )
| ~ ( day2 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[day2_unique]) ).
thf(zip_derived_cl289,plain,
! [X0: $i] :
( ~ ( day2 @ X0 )
| ( sk__2 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl24]) ).
thf(zip_derived_cl37_016,plain,
! [X0: $i] :
( ( day2 @ ( consecutive @ X0 ) )
| ~ ( day1 @ X0 ) ),
inference(cnf,[status(esa)],[day2_follows_day1]) ).
thf(zip_derived_cl320,plain,
! [X0: $i] :
( ( sk__2
= ( consecutive @ X0 ) )
| ~ ( day1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl289,zip_derived_cl37]) ).
thf(zip_derived_cl27_017,plain,
day1 @ sk__1,
inference(cnf,[status(esa)],[day1_once]) ).
thf(zip_derived_cl522,plain,
( sk__2
= ( consecutive @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl320,zip_derived_cl27]) ).
thf(zip_derived_cl454_018,plain,
( ( truthday @ sk__3 )
| ( truthday @ friday )
| ( truthday @ wednesday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl48,zip_derived_cl29]) ).
thf(zip_derived_cl398_019,plain,
( ( truthday @ monday )
| ( sk_ = sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl271]) ).
thf(zip_derived_cl22_020,plain,
! [X0: $i,X1: $i] :
( ~ ( truthday @ X0 )
| ~ ( truthday @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[truth_unique]) ).
thf(zip_derived_cl401,plain,
! [X0: $i] :
( ( sk_ = sk__1 )
| ~ ( truthday @ X0 )
| ( monday = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl22]) ).
thf(zip_derived_cl719,plain,
( ( truthday @ wednesday )
| ( truthday @ friday )
| ( sk_ = sk__1 )
| ( monday = sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl401]) ).
thf(zip_derived_cl401_021,plain,
! [X0: $i] :
( ( sk_ = sk__1 )
| ~ ( truthday @ X0 )
| ( monday = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl22]) ).
thf(zip_derived_cl3529,plain,
( ( monday = sk__3 )
| ( sk_ = sk__1 )
| ( truthday @ wednesday )
| ( sk_ = sk__1 )
| ( monday = friday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl401]) ).
thf(zip_derived_cl3566,plain,
( ( monday = friday )
| ( truthday @ wednesday )
| ( sk_ = sk__1 )
| ( monday = sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3529]) ).
thf(zip_derived_cl18,plain,
monday != friday,
inference(cnf,[status(esa)],[uniquenames]) ).
thf(zip_derived_cl3567,plain,
( ( truthday @ wednesday )
| ( sk_ = sk__1 )
| ( monday = sk__3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3566,zip_derived_cl18]) ).
thf(zip_derived_cl401_022,plain,
! [X0: $i] :
( ( sk_ = sk__1 )
| ~ ( truthday @ X0 )
| ( monday = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl22]) ).
thf(zip_derived_cl3695,plain,
( ( monday = sk__3 )
| ( sk_ = sk__1 )
| ( sk_ = sk__1 )
| ( monday = wednesday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3567,zip_derived_cl401]) ).
thf(zip_derived_cl3722,plain,
( ( monday = wednesday )
| ( sk_ = sk__1 )
| ( monday = sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3695]) ).
thf(zip_derived_cl20,plain,
monday != wednesday,
inference(cnf,[status(esa)],[uniquenames]) ).
thf(zip_derived_cl3723,plain,
( ( sk_ = sk__1 )
| ( monday = sk__3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3722,zip_derived_cl20]) ).
thf(zip_derived_cl29_023,plain,
day3 @ sk__3,
inference(cnf,[status(esa)],[day3_once]) ).
thf(zip_derived_cl3782,plain,
( ( sk_ = sk__1 )
| ( day3 @ monday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3723,zip_derived_cl29]) ).
thf(zip_derived_cl30_024,plain,
( ( consecutive @ sunday )
= monday ),
inference(cnf,[status(esa)],[monday_follows_sunday]) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ( day2 @ X0 )
| ~ ( day3 @ ( consecutive @ X0 ) ) ),
inference(cnf,[status(esa)],[day3_follows_day2]) ).
thf(zip_derived_cl388,plain,
( ( day2 @ sunday )
| ~ ( day3 @ monday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl40]) ).
thf(zip_derived_cl3804,plain,
( ( sk_ = sk__1 )
| ( day2 @ sunday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3782,zip_derived_cl388]) ).
thf(statement2,axiom,
! [X: $i] :
( ( day2 @ X )
=> ( ( truthday @ X )
<=> ( ( day2 @ thursday )
| ( day2 @ saturday )
| ( day2 @ sunday ) ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ~ ( day2 @ sunday )
| ( truthday @ X0 )
| ~ ( day2 @ X0 ) ),
inference(cnf,[status(esa)],[statement2]) ).
thf(zip_derived_cl410,plain,
( ~ ( day2 @ sunday )
| ( truthday @ sunday ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl3953,plain,
( ( sk_ = sk__1 )
| ( truthday @ sunday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3804,zip_derived_cl410]) ).
thf(zip_derived_cl401_025,plain,
! [X0: $i] :
( ( sk_ = sk__1 )
| ~ ( truthday @ X0 )
| ( monday = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl22]) ).
thf(zip_derived_cl4016,plain,
( ( sk_ = sk__1 )
| ( sk_ = sk__1 )
| ( monday = sunday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3953,zip_derived_cl401]) ).
thf(zip_derived_cl4049,plain,
( ( monday = sunday )
| ( sk_ = sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4016]) ).
thf(zip_derived_cl16_026,plain,
monday != sunday,
inference(cnf,[status(esa)],[uniquenames]) ).
thf(zip_derived_cl4050,plain,
sk_ = sk__1,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4049,zip_derived_cl16]) ).
thf(zip_derived_cl4073,plain,
( sk__2
= ( consecutive @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl522,zip_derived_cl4050]) ).
thf(zip_derived_cl9747,plain,
( ( sk_ = friday )
| ( sk_ = thursday )
| ( sk_ = wednesday )
| ( sk_ = monday )
| ( sk__2
= ( consecutive @ saturday ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9623,zip_derived_cl4073]) ).
thf(sunday_follows_saturday,axiom,
( ( consecutive @ saturday )
= sunday ) ).
thf(zip_derived_cl36,plain,
( ( consecutive @ saturday )
= sunday ),
inference(cnf,[status(esa)],[sunday_follows_saturday]) ).
thf(zip_derived_cl9764,plain,
( ( sk_ = friday )
| ( sk_ = thursday )
| ( sk_ = wednesday )
| ( sk_ = monday )
| ( sk__2 = sunday ) ),
inference(demod,[status(thm)],[zip_derived_cl9747,zip_derived_cl36]) ).
thf(zip_derived_cl28_027,plain,
day2 @ sk__2,
inference(cnf,[status(esa)],[day2_once]) ).
thf(zip_derived_cl9827,plain,
( ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday )
| ( sk_ = friday )
| ( day2 @ sunday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9764,zip_derived_cl28]) ).
thf(zip_derived_cl349_028,plain,
! [X0: $i] :
( ~ ( day2 @ X0 )
| ( sk__3
= ( consecutive @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl297]) ).
thf(zip_derived_cl30_029,plain,
( ( consecutive @ sunday )
= monday ),
inference(cnf,[status(esa)],[monday_follows_sunday]) ).
thf(zip_derived_cl650,plain,
( ~ ( day2 @ sunday )
| ( sk__3 = monday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl349,zip_derived_cl30]) ).
thf(zip_derived_cl13873,plain,
( ( sk_ = friday )
| ( sk_ = thursday )
| ( sk_ = wednesday )
| ( sk_ = monday )
| ( sk__3 = monday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9827,zip_derived_cl650]) ).
thf(zip_derived_cl776_030,plain,
( ( sk_ = friday )
| ( sk_ = sk__3 )
| ( sk_ = wednesday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl747,zip_derived_cl271]) ).
thf(zip_derived_cl13953,plain,
( ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday )
| ( sk_ = friday )
| ( sk_ = friday )
| ( sk_ = monday )
| ( sk_ = wednesday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13873,zip_derived_cl776]) ).
thf(zip_derived_cl13969,plain,
( ( sk_ = friday )
| ( sk_ = thursday )
| ( sk_ = wednesday )
| ( sk_ = monday ) ),
inference(simplify,[status(thm)],[zip_derived_cl13953]) ).
thf(zip_derived_cl4073_031,plain,
( sk__2
= ( consecutive @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl522,zip_derived_cl4050]) ).
thf(zip_derived_cl13976,plain,
( ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday )
| ( sk__2
= ( consecutive @ friday ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13969,zip_derived_cl4073]) ).
thf(saturday_follows_friday,axiom,
( ( consecutive @ friday )
= saturday ) ).
thf(zip_derived_cl35,plain,
( ( consecutive @ friday )
= saturday ),
inference(cnf,[status(esa)],[saturday_follows_friday]) ).
thf(zip_derived_cl13996,plain,
( ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday )
| ( sk__2 = saturday ) ),
inference(demod,[status(thm)],[zip_derived_cl13976,zip_derived_cl35]) ).
thf(zip_derived_cl28_032,plain,
day2 @ sk__2,
inference(cnf,[status(esa)],[day2_once]) ).
thf(zip_derived_cl14051,plain,
( ( sk_ = thursday )
| ( sk_ = wednesday )
| ( sk_ = monday )
| ( day2 @ saturday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13996,zip_derived_cl28]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ~ ( day2 @ saturday )
| ( truthday @ X0 )
| ~ ( day2 @ X0 ) ),
inference(cnf,[status(esa)],[statement2]) ).
thf(zip_derived_cl413,plain,
( ~ ( day2 @ saturday )
| ( truthday @ saturday ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl14811,plain,
( ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday )
| ( truthday @ saturday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14051,zip_derived_cl413]) ).
thf(zip_derived_cl13996_033,plain,
( ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday )
| ( sk__2 = saturday ) ),
inference(demod,[status(thm)],[zip_derived_cl13976,zip_derived_cl35]) ).
thf(zip_derived_cl13969_034,plain,
( ( sk_ = friday )
| ( sk_ = thursday )
| ( sk_ = wednesday )
| ( sk_ = monday ) ),
inference(simplify,[status(thm)],[zip_derived_cl13953]) ).
thf(zip_derived_cl26_035,plain,
truthday @ sk_,
inference(cnf,[status(esa)],[truth_once]) ).
thf(zip_derived_cl13973,plain,
( ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday )
| ( truthday @ friday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13969,zip_derived_cl26]) ).
thf(zip_derived_cl27_036,plain,
day1 @ sk__1,
inference(cnf,[status(esa)],[day1_once]) ).
thf(zip_derived_cl4050_037,plain,
sk_ = sk__1,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4049,zip_derived_cl16]) ).
thf(zip_derived_cl4060,plain,
day1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl4050]) ).
thf(zip_derived_cl37_038,plain,
! [X0: $i] :
( ( day2 @ ( consecutive @ X0 ) )
| ~ ( day1 @ X0 ) ),
inference(cnf,[status(esa)],[day2_follows_day1]) ).
thf(zip_derived_cl24_039,plain,
! [X0: $i,X1: $i] :
( ~ ( day2 @ X0 )
| ~ ( day2 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[day2_unique]) ).
thf(zip_derived_cl302,plain,
! [X0: $i,X1: $i] :
( ~ ( day1 @ X0 )
| ~ ( day2 @ X1 )
| ( ( consecutive @ X0 )
= X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl24]) ).
thf(zip_derived_cl5696,plain,
! [X0: $i] :
( ~ ( day2 @ X0 )
| ( ( consecutive @ sk_ )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4060,zip_derived_cl302]) ).
thf(zip_derived_cl22_040,plain,
! [X0: $i,X1: $i] :
( ~ ( truthday @ X0 )
| ~ ( truthday @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[truth_unique]) ).
thf(zip_derived_cl37_041,plain,
! [X0: $i] :
( ( day2 @ ( consecutive @ X0 ) )
| ~ ( day1 @ X0 ) ),
inference(cnf,[status(esa)],[day2_follows_day1]) ).
thf(zip_derived_cl309,plain,
! [X0: $i,X1: $i] :
( ~ ( truthday @ ( consecutive @ X1 ) )
| ~ ( truthday @ X0 )
| ( day2 @ X0 )
| ~ ( day1 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl37]) ).
thf(zip_derived_cl5735,plain,
! [X0: $i,X1: $i] :
( ~ ( day2 @ X0 )
| ~ ( truthday @ X0 )
| ~ ( truthday @ X1 )
| ( day2 @ X1 )
| ~ ( day1 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5696,zip_derived_cl309]) ).
thf(zip_derived_cl4060_042,plain,
day1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl4050]) ).
thf(zip_derived_cl5756,plain,
! [X0: $i,X1: $i] :
( ~ ( day2 @ X0 )
| ~ ( truthday @ X0 )
| ~ ( truthday @ X1 )
| ( day2 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl5735,zip_derived_cl4060]) ).
thf(zip_derived_cl5696_043,plain,
! [X0: $i] :
( ~ ( day2 @ X0 )
| ( ( consecutive @ sk_ )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4060,zip_derived_cl302]) ).
thf(zip_derived_cl6532,plain,
! [X0: $i,X1: $i] :
( ~ ( truthday @ X0 )
| ~ ( truthday @ X1 )
| ~ ( day2 @ X1 )
| ( ( consecutive @ sk_ )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5756,zip_derived_cl5696]) ).
thf(zip_derived_cl22_044,plain,
! [X0: $i,X1: $i] :
( ~ ( truthday @ X0 )
| ~ ( truthday @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[truth_unique]) ).
thf(zip_derived_cl39_045,plain,
! [X0: $i] :
( ( day3 @ ( consecutive @ X0 ) )
| ~ ( day2 @ X0 ) ),
inference(cnf,[status(esa)],[day3_follows_day2]) ).
thf(zip_derived_cl357,plain,
! [X0: $i,X1: $i] :
( ~ ( truthday @ ( consecutive @ X1 ) )
| ~ ( truthday @ X0 )
| ( day3 @ X0 )
| ~ ( day2 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl39]) ).
thf(zip_derived_cl9668,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( day2 @ X1 )
| ~ ( truthday @ X1 )
| ~ ( truthday @ X0 )
| ~ ( truthday @ X0 )
| ~ ( truthday @ X2 )
| ( day3 @ X2 )
| ~ ( day2 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6532,zip_derived_cl357]) ).
thf(zip_derived_cl9729,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( day2 @ sk_ )
| ( day3 @ X2 )
| ~ ( truthday @ X2 )
| ~ ( truthday @ X0 )
| ~ ( truthday @ X1 )
| ~ ( day2 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9668]) ).
thf(zip_derived_cl9768,plain,
! [X0: $i,X1: $i] :
( ~ ( day2 @ sk_ )
| ( day3 @ X0 )
| ~ ( day2 @ X1 )
| ~ ( truthday @ X0 )
| ~ ( truthday @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl9729]) ).
thf(zip_derived_cl5756_046,plain,
! [X0: $i,X1: $i] :
( ~ ( day2 @ X0 )
| ~ ( truthday @ X0 )
| ~ ( truthday @ X1 )
| ( day2 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl5735,zip_derived_cl4060]) ).
thf(zip_derived_cl522_047,plain,
( sk__2
= ( consecutive @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl320,zip_derived_cl27]) ).
thf(zip_derived_cl39_048,plain,
! [X0: $i] :
( ( day3 @ ( consecutive @ X0 ) )
| ~ ( day2 @ X0 ) ),
inference(cnf,[status(esa)],[day3_follows_day2]) ).
thf(zip_derived_cl527,plain,
( ( day3 @ sk__2 )
| ~ ( day2 @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl522,zip_derived_cl39]) ).
thf(zip_derived_cl4050_049,plain,
sk_ = sk__1,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4049,zip_derived_cl16]) ).
thf(zip_derived_cl4074,plain,
( ( day3 @ sk__2 )
| ~ ( day2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl527,zip_derived_cl4050]) ).
thf(zip_derived_cl6586,plain,
! [X0: $i] :
( ~ ( truthday @ sk_ )
| ~ ( truthday @ X0 )
| ~ ( day2 @ X0 )
| ( day3 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5756,zip_derived_cl4074]) ).
thf(zip_derived_cl26_050,plain,
truthday @ sk_,
inference(cnf,[status(esa)],[truth_once]) ).
thf(zip_derived_cl6616,plain,
! [X0: $i] :
( ~ ( truthday @ X0 )
| ~ ( day2 @ X0 )
| ( day3 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl6586,zip_derived_cl26]) ).
thf(zip_derived_cl522_051,plain,
( sk__2
= ( consecutive @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl320,zip_derived_cl27]) ).
thf(zip_derived_cl40_052,plain,
! [X0: $i] :
( ( day2 @ X0 )
| ~ ( day3 @ ( consecutive @ X0 ) ) ),
inference(cnf,[status(esa)],[day3_follows_day2]) ).
thf(zip_derived_cl528,plain,
( ( day2 @ sk__1 )
| ~ ( day3 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl40]) ).
thf(zip_derived_cl4050_053,plain,
sk_ = sk__1,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4049,zip_derived_cl16]) ).
thf(zip_derived_cl4075,plain,
( ( day2 @ sk_ )
| ~ ( day3 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl528,zip_derived_cl4050]) ).
thf(zip_derived_cl7423,plain,
! [X0: $i] :
( ~ ( day2 @ X0 )
| ~ ( truthday @ X0 )
| ( day2 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6616,zip_derived_cl4075]) ).
thf(zip_derived_cl9769,plain,
! [X0: $i,X1: $i] :
( ~ ( truthday @ X1 )
| ~ ( truthday @ X0 )
| ~ ( day2 @ X1 )
| ( day3 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl9768,zip_derived_cl7423]) ).
thf(friday_follows_thursday,axiom,
( ( consecutive @ thursday )
= friday ) ).
thf(zip_derived_cl34,plain,
( ( consecutive @ thursday )
= friday ),
inference(cnf,[status(esa)],[friday_follows_thursday]) ).
thf(zip_derived_cl40_054,plain,
! [X0: $i] :
( ( day2 @ X0 )
| ~ ( day3 @ ( consecutive @ X0 ) ) ),
inference(cnf,[status(esa)],[day3_follows_day2]) ).
thf(zip_derived_cl385,plain,
( ( day2 @ thursday )
| ~ ( day3 @ friday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl40]) ).
thf(zip_derived_cl9798,plain,
! [X0: $i] :
( ~ ( day2 @ X0 )
| ~ ( truthday @ friday )
| ~ ( truthday @ X0 )
| ( day2 @ thursday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9769,zip_derived_cl385]) ).
thf(zip_derived_cl34_055,plain,
( ( consecutive @ thursday )
= friday ),
inference(cnf,[status(esa)],[friday_follows_thursday]) ).
thf(zip_derived_cl357_056,plain,
! [X0: $i,X1: $i] :
( ~ ( truthday @ ( consecutive @ X1 ) )
| ~ ( truthday @ X0 )
| ( day3 @ X0 )
| ~ ( day2 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl39]) ).
thf(zip_derived_cl1696,plain,
! [X0: $i] :
( ~ ( truthday @ friday )
| ~ ( truthday @ X0 )
| ( day3 @ X0 )
| ~ ( day2 @ thursday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl357]) ).
thf(zip_derived_cl49,plain,
! [X0: $i] :
( ~ ( truthday @ X0 )
| ~ ( truthday @ friday )
| ~ ( day3 @ X0 ) ),
inference(cnf,[status(esa)],[statement3]) ).
thf(zip_derived_cl2050,plain,
! [X0: $i] :
( ~ ( day2 @ thursday )
| ~ ( truthday @ X0 )
| ~ ( truthday @ friday ) ),
inference(clc,[status(thm)],[zip_derived_cl1696,zip_derived_cl49]) ).
thf(zip_derived_cl2051,plain,
( ~ ( day2 @ thursday )
| ~ ( truthday @ friday ) ),
inference(condensation,[status(thm)],[zip_derived_cl2050]) ).
thf(zip_derived_cl9985,plain,
! [X0: $i] :
( ~ ( truthday @ X0 )
| ~ ( truthday @ friday )
| ~ ( day2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl9798,zip_derived_cl2051]) ).
thf(zip_derived_cl14100,plain,
! [X0: $i] :
( ( sk_ = thursday )
| ( sk_ = wednesday )
| ( sk_ = monday )
| ~ ( truthday @ X0 )
| ~ ( day2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13973,zip_derived_cl9985]) ).
thf(zip_derived_cl28_057,plain,
day2 @ sk__2,
inference(cnf,[status(esa)],[day2_once]) ).
thf(zip_derived_cl14343,plain,
( ~ ( truthday @ sk__2 )
| ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14100,zip_derived_cl28]) ).
thf(zip_derived_cl14360,plain,
( ( sk_ = thursday )
| ( sk_ = wednesday )
| ( sk_ = monday )
| ~ ( truthday @ saturday )
| ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13996,zip_derived_cl14343]) ).
thf(zip_derived_cl14364,plain,
( ~ ( truthday @ saturday )
| ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk_ = thursday ) ),
inference(simplify,[status(thm)],[zip_derived_cl14360]) ).
thf(zip_derived_cl14895,plain,
( ( sk_ = thursday )
| ( sk_ = wednesday )
| ( sk_ = monday ) ),
inference(clc,[status(thm)],[zip_derived_cl14811,zip_derived_cl14364]) ).
thf(zip_derived_cl4073_058,plain,
( sk__2
= ( consecutive @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl522,zip_derived_cl4050]) ).
thf(zip_derived_cl14899,plain,
( ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk__2
= ( consecutive @ thursday ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14895,zip_derived_cl4073]) ).
thf(zip_derived_cl34_059,plain,
( ( consecutive @ thursday )
= friday ),
inference(cnf,[status(esa)],[friday_follows_thursday]) ).
thf(zip_derived_cl14918,plain,
( ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk__2 = friday ) ),
inference(demod,[status(thm)],[zip_derived_cl14899,zip_derived_cl34]) ).
thf(zip_derived_cl28_060,plain,
day2 @ sk__2,
inference(cnf,[status(esa)],[day2_once]) ).
thf(zip_derived_cl14938,plain,
( ( sk_ = wednesday )
| ( sk_ = monday )
| ( day2 @ friday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14918,zip_derived_cl28]) ).
thf(zip_derived_cl349_061,plain,
! [X0: $i] :
( ~ ( day2 @ X0 )
| ( sk__3
= ( consecutive @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl297]) ).
thf(zip_derived_cl35_062,plain,
( ( consecutive @ friday )
= saturday ),
inference(cnf,[status(esa)],[saturday_follows_friday]) ).
thf(zip_derived_cl648,plain,
( ~ ( day2 @ friday )
| ( sk__3 = saturday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl349,zip_derived_cl35]) ).
thf(zip_derived_cl15325,plain,
( ( sk_ = monday )
| ( sk_ = wednesday )
| ( sk__3 = saturday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14938,zip_derived_cl648]) ).
thf(zip_derived_cl14895_063,plain,
( ( sk_ = thursday )
| ( sk_ = wednesday )
| ( sk_ = monday ) ),
inference(clc,[status(thm)],[zip_derived_cl14811,zip_derived_cl14364]) ).
thf(zip_derived_cl26_064,plain,
truthday @ sk_,
inference(cnf,[status(esa)],[truth_once]) ).
thf(zip_derived_cl14896,plain,
( ( sk_ = monday )
| ( sk_ = wednesday )
| ( truthday @ thursday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14895,zip_derived_cl26]) ).
thf(zip_derived_cl715_065,plain,
! [X0: $i] :
( ( truthday @ wednesday )
| ( truthday @ friday )
| ~ ( truthday @ X0 )
| ( sk__3 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl22]) ).
thf(zip_derived_cl22_066,plain,
! [X0: $i,X1: $i] :
( ~ ( truthday @ X0 )
| ~ ( truthday @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[truth_unique]) ).
thf(zip_derived_cl4799,plain,
! [X0: $i,X1: $i] :
( ( sk__3 = X0 )
| ~ ( truthday @ X0 )
| ( truthday @ wednesday )
| ~ ( truthday @ X1 )
| ( friday = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl715,zip_derived_cl22]) ).
thf(zip_derived_cl6174,plain,
! [X0: $i] :
( ( friday = X0 )
| ~ ( truthday @ X0 )
| ( truthday @ wednesday )
| ( sk__3 = X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl4799]) ).
thf(zip_derived_cl271_067,plain,
! [X0: $i] :
( ~ ( truthday @ X0 )
| ( sk_ = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl22]) ).
thf(zip_derived_cl6226,plain,
! [X0: $i] :
( ( sk__3 = X0 )
| ~ ( truthday @ X0 )
| ( friday = X0 )
| ( sk_ = wednesday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6174,zip_derived_cl271]) ).
thf(zip_derived_cl14979,plain,
( ( sk_ = wednesday )
| ( sk_ = monday )
| ( sk__3 = thursday )
| ( friday = thursday )
| ( sk_ = wednesday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14896,zip_derived_cl6226]) ).
thf(zip_derived_cl15044,plain,
( ( friday = thursday )
| ( sk__3 = thursday )
| ( sk_ = monday )
| ( sk_ = wednesday ) ),
inference(simplify,[status(thm)],[zip_derived_cl14979]) ).
thf(zip_derived_cl6,plain,
thursday != friday,
inference(cnf,[status(esa)],[uniquenames]) ).
thf(zip_derived_cl15045,plain,
( ( sk__3 = thursday )
| ( sk_ = monday )
| ( sk_ = wednesday ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15044,zip_derived_cl6]) ).
thf(zip_derived_cl15406,plain,
( ( sk_ = wednesday )
| ( sk_ = monday )
| ( saturday = thursday )
| ( sk_ = monday )
| ( sk_ = wednesday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15325,zip_derived_cl15045]) ).
thf(zip_derived_cl15409,plain,
( ( saturday = thursday )
| ( sk_ = monday )
| ( sk_ = wednesday ) ),
inference(simplify,[status(thm)],[zip_derived_cl15406]) ).
thf(zip_derived_cl5,plain,
thursday != saturday,
inference(cnf,[status(esa)],[uniquenames]) ).
thf(zip_derived_cl15410,plain,
( ( sk_ = monday )
| ( sk_ = wednesday ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15409,zip_derived_cl5]) ).
thf(zip_derived_cl4073_068,plain,
( sk__2
= ( consecutive @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl522,zip_derived_cl4050]) ).
thf(zip_derived_cl15414,plain,
( ( sk_ = monday )
| ( sk__2
= ( consecutive @ wednesday ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15410,zip_derived_cl4073]) ).
thf(thursday_follows_wednesday,axiom,
( ( consecutive @ wednesday )
= thursday ) ).
thf(zip_derived_cl33,plain,
( ( consecutive @ wednesday )
= thursday ),
inference(cnf,[status(esa)],[thursday_follows_wednesday]) ).
thf(zip_derived_cl15432,plain,
( ( sk_ = monday )
| ( sk__2 = thursday ) ),
inference(demod,[status(thm)],[zip_derived_cl15414,zip_derived_cl33]) ).
thf(zip_derived_cl28_069,plain,
day2 @ sk__2,
inference(cnf,[status(esa)],[day2_once]) ).
thf(zip_derived_cl15438,plain,
( ( sk_ = monday )
| ( day2 @ thursday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15432,zip_derived_cl28]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ~ ( day2 @ thursday )
| ( truthday @ X0 )
| ~ ( day2 @ X0 ) ),
inference(cnf,[status(esa)],[statement2]) ).
thf(zip_derived_cl424,plain,
( ~ ( day2 @ thursday )
| ( truthday @ thursday ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl16474,plain,
( ( sk_ = monday )
| ( truthday @ thursday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15438,zip_derived_cl424]) ).
thf(zip_derived_cl15432_070,plain,
( ( sk_ = monday )
| ( sk__2 = thursday ) ),
inference(demod,[status(thm)],[zip_derived_cl15414,zip_derived_cl33]) ).
thf(zip_derived_cl15410_071,plain,
( ( sk_ = monday )
| ( sk_ = wednesday ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15409,zip_derived_cl5]) ).
thf(zip_derived_cl26_072,plain,
truthday @ sk_,
inference(cnf,[status(esa)],[truth_once]) ).
thf(zip_derived_cl15411,plain,
( ( sk_ = monday )
| ( truthday @ wednesday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15410,zip_derived_cl26]) ).
thf(zip_derived_cl9769_073,plain,
! [X0: $i,X1: $i] :
( ~ ( truthday @ X1 )
| ~ ( truthday @ X0 )
| ~ ( day2 @ X1 )
| ( day3 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl9768,zip_derived_cl7423]) ).
thf(zip_derived_cl32_074,plain,
( ( consecutive @ tuesday )
= wednesday ),
inference(cnf,[status(esa)],[wednesday_follows_tuesday]) ).
thf(zip_derived_cl40_075,plain,
! [X0: $i] :
( ( day2 @ X0 )
| ~ ( day3 @ ( consecutive @ X0 ) ) ),
inference(cnf,[status(esa)],[day3_follows_day2]) ).
thf(zip_derived_cl383,plain,
( ( day2 @ tuesday )
| ~ ( day3 @ wednesday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl40]) ).
thf(zip_derived_cl9790,plain,
! [X0: $i] :
( ~ ( day2 @ X0 )
| ~ ( truthday @ wednesday )
| ~ ( truthday @ X0 )
| ( day2 @ tuesday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9769,zip_derived_cl383]) ).
thf(zip_derived_cl32_076,plain,
( ( consecutive @ tuesday )
= wednesday ),
inference(cnf,[status(esa)],[wednesday_follows_tuesday]) ).
thf(zip_derived_cl357_077,plain,
! [X0: $i,X1: $i] :
( ~ ( truthday @ ( consecutive @ X1 ) )
| ~ ( truthday @ X0 )
| ( day3 @ X0 )
| ~ ( day2 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl39]) ).
thf(zip_derived_cl1694,plain,
! [X0: $i] :
( ~ ( truthday @ wednesday )
| ~ ( truthday @ X0 )
| ( day3 @ X0 )
| ~ ( day2 @ tuesday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl357]) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ~ ( truthday @ X0 )
| ~ ( truthday @ wednesday )
| ~ ( day3 @ X0 ) ),
inference(cnf,[status(esa)],[statement3]) ).
thf(zip_derived_cl1960,plain,
! [X0: $i] :
( ~ ( day2 @ tuesday )
| ~ ( truthday @ X0 )
| ~ ( truthday @ wednesday ) ),
inference(clc,[status(thm)],[zip_derived_cl1694,zip_derived_cl50]) ).
thf(zip_derived_cl1961,plain,
( ~ ( day2 @ tuesday )
| ~ ( truthday @ wednesday ) ),
inference(condensation,[status(thm)],[zip_derived_cl1960]) ).
thf(zip_derived_cl9848,plain,
! [X0: $i] :
( ~ ( truthday @ X0 )
| ~ ( truthday @ wednesday )
| ~ ( day2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl9790,zip_derived_cl1961]) ).
thf(zip_derived_cl15498,plain,
! [X0: $i] :
( ( sk_ = monday )
| ~ ( truthday @ X0 )
| ~ ( day2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15411,zip_derived_cl9848]) ).
thf(zip_derived_cl28_078,plain,
day2 @ sk__2,
inference(cnf,[status(esa)],[day2_once]) ).
thf(zip_derived_cl15908,plain,
( ~ ( truthday @ sk__2 )
| ( sk_ = monday ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15498,zip_derived_cl28]) ).
thf(zip_derived_cl15926,plain,
( ( sk_ = monday )
| ~ ( truthday @ thursday )
| ( sk_ = monday ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15432,zip_derived_cl15908]) ).
thf(zip_derived_cl15929,plain,
( ~ ( truthday @ thursday )
| ( sk_ = monday ) ),
inference(simplify,[status(thm)],[zip_derived_cl15926]) ).
thf(zip_derived_cl16534,plain,
sk_ = monday,
inference(clc,[status(thm)],[zip_derived_cl16474,zip_derived_cl15929]) ).
thf(zip_derived_cl16534_079,plain,
sk_ = monday,
inference(clc,[status(thm)],[zip_derived_cl16474,zip_derived_cl15929]) ).
thf(zip_derived_cl16534_080,plain,
sk_ = monday,
inference(clc,[status(thm)],[zip_derived_cl16474,zip_derived_cl15929]) ).
thf(zip_derived_cl16543,plain,
( ( monday = friday )
| ( monday = sk__3 )
| ( monday = wednesday ) ),
inference(demod,[status(thm)],[zip_derived_cl776,zip_derived_cl16534,zip_derived_cl16534,zip_derived_cl16534]) ).
thf(zip_derived_cl20_081,plain,
monday != wednesday,
inference(cnf,[status(esa)],[uniquenames]) ).
thf(zip_derived_cl18_082,plain,
monday != friday,
inference(cnf,[status(esa)],[uniquenames]) ).
thf(zip_derived_cl16544,plain,
monday = sk__3,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16543,zip_derived_cl20,zip_derived_cl18]) ).
thf(zip_derived_cl16793,plain,
( ~ ( day2 @ tuesday )
| ( monday = wednesday ) ),
inference(demod,[status(thm)],[zip_derived_cl645,zip_derived_cl16544]) ).
thf(zip_derived_cl20_083,plain,
monday != wednesday,
inference(cnf,[status(esa)],[uniquenames]) ).
thf(zip_derived_cl16794,plain,
~ ( day2 @ tuesday ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16793,zip_derived_cl20]) ).
thf(zip_derived_cl28_084,plain,
day2 @ sk__2,
inference(cnf,[status(esa)],[day2_once]) ).
thf(zip_derived_cl4073_085,plain,
( sk__2
= ( consecutive @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl522,zip_derived_cl4050]) ).
thf(zip_derived_cl16534_086,plain,
sk_ = monday,
inference(clc,[status(thm)],[zip_derived_cl16474,zip_derived_cl15929]) ).
thf(zip_derived_cl31_087,plain,
( ( consecutive @ monday )
= tuesday ),
inference(cnf,[status(esa)],[tuesday_follows_monday]) ).
thf(zip_derived_cl16563,plain,
sk__2 = tuesday,
inference(demod,[status(thm)],[zip_derived_cl4073,zip_derived_cl16534,zip_derived_cl31]) ).
thf(zip_derived_cl16670,plain,
day2 @ tuesday,
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl16563]) ).
thf(zip_derived_cl16889,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl16794,zip_derived_cl16670]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ078+1 : TPTP v8.1.2. Released v3.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CjWvGXaxGZ true
% 0.14/0.34 % Computer : n027.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 : Sat Aug 26 22:33:35 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 24.64/4.24 % Solved by fo/fo6_bce.sh.
% 24.64/4.24 % BCE start: 52
% 24.64/4.24 % BCE eliminated: 0
% 24.64/4.24 % PE start: 52
% 24.64/4.24 logic: eq
% 24.64/4.24 % PE eliminated: 0
% 24.64/4.24 % done 2083 iterations in 3.491s
% 24.64/4.24 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 24.64/4.24 % SZS output start Refutation
% See solution above
% 24.64/4.24
% 24.64/4.24
% 24.64/4.24 % Terminating...
% 26.03/4.34 % Runner terminated.
% 26.03/4.36 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------