TSTP Solution File: PUZ078+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ078+1 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n018.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 : 600s
% DateTime : Mon Jul 18 18:19:34 EDT 2022
% Result : Theorem 0.89s 1.14s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 39
% Syntax : Number of formulae : 376 ( 273 unt; 16 typ; 0 def)
% Number of atoms : 2581 (1424 equ; 0 cnn)
% Maximal formula atoms : 21 ( 7 avg)
% Number of connectives : 5144 (3117 ~;1147 |; 110 &; 746 @)
% ( 10 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 288 ( 0 ^ 280 !; 8 ?; 288 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_consecutive,type,
consecutive: $i > $i ).
thf(tp_day1,type,
day1: $i > $o ).
thf(tp_day2,type,
day2: $i > $o ).
thf(tp_day3,type,
day3: $i > $o ).
thf(tp_friday,type,
friday: $i ).
thf(tp_monday,type,
monday: $i ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_X,type,
sK2_X: $i ).
thf(tp_sK3_X,type,
sK3_X: $i ).
thf(tp_sK4_X,type,
sK4_X: $i ).
thf(tp_saturday,type,
saturday: $i ).
thf(tp_sunday,type,
sunday: $i ).
thf(tp_thursday,type,
thursday: $i ).
thf(tp_truthday,type,
truthday: $i > $o ).
thf(tp_tuesday,type,
tuesday: $i ).
thf(tp_wednesday,type,
wednesday: $i ).
thf(1,axiom,
! [X: $i] :
( ( day3 @ X )
=> ( ( truthday @ X )
<=> ( ~ ( truthday @ wednesday )
& ~ ( truthday @ friday ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',statement3) ).
thf(2,axiom,
! [X: $i] :
( ( day2 @ X )
=> ( ( truthday @ X )
<=> ( ( day2 @ thursday )
| ( day2 @ saturday )
| ( day2 @ sunday ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',statement2) ).
thf(3,axiom,
! [X: $i] :
( ( day1 @ X )
=> ( ( truthday @ X )
<=> ( ~ ( truthday @ monday )
& ~ ( truthday @ tuesday ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',statement1) ).
thf(4,axiom,
! [X: $i] :
( ( day2 @ X )
<=> ( day3 @ ( consecutive @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day3_follows_day2) ).
thf(5,axiom,
! [X: $i] :
( ( day1 @ X )
<=> ( day2 @ ( consecutive @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day2_follows_day1) ).
thf(6,axiom,
( ( consecutive @ saturday )
= sunday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_follows_saturday) ).
thf(7,axiom,
( ( consecutive @ friday )
= saturday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',saturday_follows_friday) ).
thf(8,axiom,
( ( consecutive @ thursday )
= friday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',friday_follows_thursday) ).
thf(9,axiom,
( ( consecutive @ wednesday )
= thursday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
thf(10,axiom,
( ( consecutive @ tuesday )
= wednesday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
thf(11,axiom,
( ( consecutive @ monday )
= tuesday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_follows_monday) ).
thf(12,axiom,
( ( consecutive @ sunday )
= monday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_follows_sunday) ).
thf(13,axiom,
? [X: $i] : ( day3 @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day3_once) ).
thf(14,axiom,
? [X: $i] : ( day2 @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day2_once) ).
thf(15,axiom,
? [X: $i] : ( day1 @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day1_once) ).
thf(16,axiom,
? [X: $i] : ( truthday @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truth_once) ).
thf(17,axiom,
! [X: $i,Y: $i] :
( ( ( day3 @ X )
& ( day3 @ Y ) )
=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day3_unique) ).
thf(18,axiom,
! [X: $i,Y: $i] :
( ( ( day2 @ X )
& ( day2 @ Y ) )
=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day2_unique) ).
thf(19,axiom,
! [X: $i,Y: $i] :
( ( ( day1 @ X )
& ( day1 @ Y ) )
=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day1_unique) ).
thf(20,axiom,
! [X: $i,Y: $i] :
( ( ( truthday @ X )
& ( truthday @ Y ) )
=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truth_unique) ).
thf(21,axiom,
( ( monday != tuesday )
& ( monday != wednesday )
& ( monday != thursday )
& ( monday != friday )
& ( monday != saturday )
& ( monday != sunday )
& ( tuesday != wednesday )
& ( tuesday != thursday )
& ( tuesday != friday )
& ( tuesday != saturday )
& ( tuesday != sunday )
& ( wednesday != thursday )
& ( wednesday != friday )
& ( wednesday != saturday )
& ( wednesday != sunday )
& ( thursday != friday )
& ( thursday != saturday )
& ( thursday != sunday )
& ( friday != saturday )
& ( friday != sunday )
& ( saturday != sunday ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniquenames) ).
thf(22,axiom,
! [X: $i] :
( ( X = monday )
| ( X = tuesday )
| ( X = wednesday )
| ( X = thursday )
| ( X = friday )
| ( X = saturday )
| ( X = sunday ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',days_of_week) ).
thf(23,conjecture,
truthday @ tuesday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_leo_tells_truths) ).
thf(24,negated_conjecture,
( ( truthday @ tuesday )
= $false ),
inference(negate_conjecture,[status(cth)],[23]) ).
thf(25,plain,
( ( truthday @ tuesday )
= $false ),
inference(unfold_def,[status(thm)],[24]) ).
thf(26,plain,
( ( ! [X: $i] :
( ( day3 @ X )
=> ( ( truthday @ X )
<=> ( ~ ( truthday @ wednesday )
& ~ ( truthday @ friday ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(27,plain,
( ( ! [X: $i] :
( ( day2 @ X )
=> ( ( truthday @ X )
<=> ( ( day2 @ thursday )
| ( day2 @ saturday )
| ( day2 @ sunday ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(28,plain,
( ( ! [X: $i] :
( ( day1 @ X )
=> ( ( truthday @ X )
<=> ( ~ ( truthday @ monday )
& ~ ( truthday @ tuesday ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(29,plain,
( ( ! [X: $i] :
( ( day2 @ X )
<=> ( day3 @ ( consecutive @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(30,plain,
( ( ! [X: $i] :
( ( day1 @ X )
<=> ( day2 @ ( consecutive @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(31,plain,
( ( ( consecutive @ saturday )
= sunday )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(32,plain,
( ( ( consecutive @ friday )
= saturday )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(33,plain,
( ( ( consecutive @ thursday )
= friday )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(34,plain,
( ( ( consecutive @ wednesday )
= thursday )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(35,plain,
( ( ( consecutive @ tuesday )
= wednesday )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(36,plain,
( ( ( consecutive @ monday )
= tuesday )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(37,plain,
( ( ( consecutive @ sunday )
= monday )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(38,plain,
( ( ? [X: $i] : ( day3 @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(39,plain,
( ( ? [X: $i] : ( day2 @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(40,plain,
( ( ? [X: $i] : ( day1 @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(41,plain,
( ( ? [X: $i] : ( truthday @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i] :
( ( ( day3 @ X )
& ( day3 @ Y ) )
=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(43,plain,
( ( ! [X: $i,Y: $i] :
( ( ( day2 @ X )
& ( day2 @ Y ) )
=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(44,plain,
( ( ! [X: $i,Y: $i] :
( ( ( day1 @ X )
& ( day1 @ Y ) )
=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(45,plain,
( ( ! [X: $i,Y: $i] :
( ( ( truthday @ X )
& ( truthday @ Y ) )
=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(46,plain,
( ( ( monday != tuesday )
& ( monday != wednesday )
& ( monday != thursday )
& ( monday != friday )
& ( monday != saturday )
& ( monday != sunday )
& ( tuesday != wednesday )
& ( tuesday != thursday )
& ( tuesday != friday )
& ( tuesday != saturday )
& ( tuesday != sunday )
& ( wednesday != thursday )
& ( wednesday != friday )
& ( wednesday != saturday )
& ( wednesday != sunday )
& ( thursday != friday )
& ( thursday != saturday )
& ( thursday != sunday )
& ( friday != saturday )
& ( friday != sunday )
& ( saturday != sunday ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(47,plain,
( ( ! [X: $i] :
( ( X = monday )
| ( X = tuesday )
| ( X = wednesday )
| ( X = thursday )
| ( X = friday )
| ( X = saturday )
| ( X = sunday ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(48,plain,
( ( ~ ( truthday @ tuesday ) )
= $true ),
inference(polarity_switch,[status(thm)],[25]) ).
thf(49,plain,
( ( ! [X: $i] :
( ~ ( day3 @ X )
| ( truthday @ wednesday )
| ( truthday @ friday )
| ( truthday @ X ) )
& ! [X: $i] :
( ~ ( day3 @ X )
| ~ ( truthday @ X )
| ~ ( truthday @ wednesday ) )
& ! [X: $i] :
( ~ ( day3 @ X )
| ~ ( truthday @ X )
| ~ ( truthday @ friday ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(50,plain,
( ( ! [X: $i] :
( ~ ( day2 @ X )
| ~ ( truthday @ X )
| ( day2 @ sunday )
| ( day2 @ thursday )
| ( day2 @ saturday ) )
& ! [X: $i] :
( ~ ( day2 @ X )
| ~ ( day2 @ sunday )
| ( truthday @ X ) )
& ! [X: $i] :
( ~ ( day2 @ X )
| ~ ( day2 @ thursday )
| ( truthday @ X ) )
& ! [X: $i] :
( ~ ( day2 @ X )
| ~ ( day2 @ saturday )
| ( truthday @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(51,plain,
( ( ! [X: $i] :
( ~ ( day1 @ X )
| ( truthday @ monday )
| ( truthday @ tuesday )
| ( truthday @ X ) )
& ! [X: $i] :
( ~ ( day1 @ X )
| ~ ( truthday @ X )
| ~ ( truthday @ monday ) )
& ! [X: $i] :
( ~ ( day1 @ X )
| ~ ( truthday @ X )
| ~ ( truthday @ tuesday ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(52,plain,
( ( ! [X: $i] :
( ~ ( day2 @ X )
| ( day3 @ ( consecutive @ X ) ) )
& ! [X: $i] :
( ~ ( day3 @ ( consecutive @ X ) )
| ( day2 @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(53,plain,
( ( ! [X: $i] :
( ~ ( day1 @ X )
| ( day2 @ ( consecutive @ X ) ) )
& ! [X: $i] :
( ~ ( day2 @ ( consecutive @ X ) )
| ( day1 @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(54,plain,
( ( day3 @ sK1_X )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(55,plain,
( ( day2 @ sK2_X )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(56,plain,
( ( day1 @ sK3_X )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(57,plain,
( ( truthday @ sK4_X )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(58,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( day3 @ X )
| ~ ( day3 @ Y )
| ( X = Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(59,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( day2 @ X )
| ~ ( day2 @ Y )
| ( X = Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(60,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( day1 @ X )
| ~ ( day1 @ Y )
| ( X = Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(61,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( truthday @ X )
| ~ ( truthday @ Y )
| ( X = Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(62,plain,
( ( ( 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 != tuesday )
& ( monday != wednesday ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(63,plain,
( ( ! [X: $i] :
( ( X = sunday )
| ( X = saturday )
| ( X = friday )
| ( X = thursday )
| ( X = wednesday )
| ( X = monday )
| ( X = tuesday ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(64,plain,
( ( ! [X: $i] :
( ( X = sunday )
| ( X = saturday )
| ( X = friday )
| ( X = thursday )
| ( X = wednesday )
| ( X = monday )
| ( X = tuesday ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(65,plain,
( ( ( 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 != tuesday )
& ( monday != wednesday ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(66,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( truthday @ X )
| ~ ( truthday @ Y )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(67,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( day1 @ X )
| ~ ( day1 @ Y )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(68,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( day2 @ X )
| ~ ( day2 @ Y )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(69,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( day3 @ X )
| ~ ( day3 @ Y )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(70,plain,
( ( truthday @ sK4_X )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(71,plain,
( ( day1 @ sK3_X )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(72,plain,
( ( day2 @ sK2_X )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(73,plain,
( ( day3 @ sK1_X )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(74,plain,
( ( ( consecutive @ sunday )
= monday )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(75,plain,
( ( ( consecutive @ monday )
= tuesday )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(76,plain,
( ( ( consecutive @ tuesday )
= wednesday )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(77,plain,
( ( ( consecutive @ wednesday )
= thursday )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(78,plain,
( ( ( consecutive @ thursday )
= friday )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(79,plain,
( ( ( consecutive @ friday )
= saturday )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(80,plain,
( ( ( consecutive @ saturday )
= sunday )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(81,plain,
( ( ! [X: $i] :
( ~ ( day1 @ X )
| ( day2 @ ( consecutive @ X ) ) )
& ! [X: $i] :
( ~ ( day2 @ ( consecutive @ X ) )
| ( day1 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(82,plain,
( ( ! [X: $i] :
( ~ ( day2 @ X )
| ( day3 @ ( consecutive @ X ) ) )
& ! [X: $i] :
( ~ ( day3 @ ( consecutive @ X ) )
| ( day2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(83,plain,
( ( ! [X: $i] :
( ~ ( day1 @ X )
| ( truthday @ monday )
| ( truthday @ tuesday )
| ( truthday @ X ) )
& ! [X: $i] :
( ~ ( day1 @ X )
| ~ ( truthday @ X )
| ~ ( truthday @ monday ) )
& ! [X: $i] :
( ~ ( day1 @ X )
| ~ ( truthday @ X )
| ~ ( truthday @ tuesday ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(84,plain,
( ( ! [X: $i] :
( ~ ( day2 @ X )
| ~ ( truthday @ X )
| ( day2 @ sunday )
| ( day2 @ thursday )
| ( day2 @ saturday ) )
& ! [X: $i] :
( ~ ( day2 @ X )
| ~ ( day2 @ sunday )
| ( truthday @ X ) )
& ! [X: $i] :
( ~ ( day2 @ X )
| ~ ( day2 @ thursday )
| ( truthday @ X ) )
& ! [X: $i] :
( ~ ( day2 @ X )
| ~ ( day2 @ saturday )
| ( truthday @ X ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(85,plain,
( ( ! [X: $i] :
( ~ ( day3 @ X )
| ( truthday @ wednesday )
| ( truthday @ friday )
| ( truthday @ X ) )
& ! [X: $i] :
( ~ ( day3 @ X )
| ~ ( truthday @ X )
| ~ ( truthday @ wednesday ) )
& ! [X: $i] :
( ~ ( day3 @ X )
| ~ ( truthday @ X )
| ~ ( truthday @ friday ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(86,plain,
( ( ~ ( truthday @ tuesday ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(87,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ( truthday @ monday )
| ( truthday @ tuesday )
| ( truthday @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ monday ) )
| ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ tuesday ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(88,plain,
( ( ~ ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(89,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( truthday @ SX0 )
| ( day2 @ sunday )
| ( day2 @ thursday )
| ( day2 @ saturday ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ sunday )
| ( truthday @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ thursday )
| ( truthday @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ saturday )
| ( truthday @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(90,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ( truthday @ wednesday )
| ( truthday @ friday )
| ( truthday @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ wednesday ) )
| ~ ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ friday ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(91,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ( day2 @ ( consecutive @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( day2 @ ( consecutive @ SX0 ) )
| ( day1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(92,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ( day3 @ ( consecutive @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( day3 @ ( consecutive @ SX0 ) )
| ( day2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(93,plain,
! [SV1: $i] :
( ( ( SV1 = sunday )
| ( SV1 = saturday )
| ( SV1 = friday )
| ( SV1 = thursday )
| ( SV1 = wednesday )
| ( SV1 = monday )
| ( SV1 = tuesday ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(94,plain,
! [SV2: $i] :
( ( ! [SY18: $i] :
( ~ ( truthday @ SV2 )
| ~ ( truthday @ SY18 )
| ( SV2 = SY18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(95,plain,
! [SV3: $i] :
( ( ! [SY19: $i] :
( ~ ( day1 @ SV3 )
| ~ ( day1 @ SY19 )
| ( SV3 = SY19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(96,plain,
! [SV4: $i] :
( ( ! [SY20: $i] :
( ~ ( day2 @ SV4 )
| ~ ( day2 @ SY20 )
| ( SV4 = SY20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(97,plain,
! [SV5: $i] :
( ( ! [SY21: $i] :
( ~ ( day3 @ SV5 )
| ~ ( day3 @ SY21 )
| ( SV5 = SY21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(98,plain,
( ( truthday @ tuesday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(99,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ( truthday @ monday )
| ( truthday @ tuesday )
| ( truthday @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ monday ) )
| ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ tuesday ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(100,plain,
( ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(101,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( truthday @ SX0 )
| ( day2 @ sunday )
| ( day2 @ thursday )
| ( day2 @ saturday ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ sunday )
| ( truthday @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ thursday )
| ( truthday @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ saturday )
| ( truthday @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(102,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ( truthday @ wednesday )
| ( truthday @ friday )
| ( truthday @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ wednesday ) )
| ~ ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ friday ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(103,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ( day2 @ ( consecutive @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( day2 @ ( consecutive @ SX0 ) )
| ( day1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(104,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ( day3 @ ( consecutive @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( day3 @ ( consecutive @ SX0 ) )
| ( day2 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(105,plain,
! [SV1: $i] :
( ( ( SV1 = sunday )
= $true )
| ( ( ( SV1 = saturday )
| ( SV1 = friday )
| ( SV1 = thursday )
| ( SV1 = wednesday )
| ( SV1 = monday )
| ( SV1 = tuesday ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(106,plain,
! [SV6: $i,SV2: $i] :
( ( ~ ( truthday @ SV2 )
| ~ ( truthday @ SV6 )
| ( SV2 = SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(107,plain,
! [SV7: $i,SV3: $i] :
( ( ~ ( day1 @ SV3 )
| ~ ( day1 @ SV7 )
| ( SV3 = SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(108,plain,
! [SV8: $i,SV4: $i] :
( ( ~ ( day2 @ SV4 )
| ~ ( day2 @ SV8 )
| ( SV4 = SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(109,plain,
! [SV9: $i,SV5: $i] :
( ( ~ ( day3 @ SV5 )
| ~ ( day3 @ SV9 )
| ( SV5 = SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(110,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ( truthday @ monday )
| ( truthday @ tuesday )
| ( truthday @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(111,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ monday ) )
| ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ tuesday ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(112,plain,
( ( ~ ( ( saturday != sunday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(113,plain,
( ( ~ ~ ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(114,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( truthday @ SX0 )
| ( day2 @ sunday )
| ( day2 @ thursday )
| ( day2 @ saturday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(115,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ sunday )
| ( truthday @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ thursday )
| ( truthday @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ saturday )
| ( truthday @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(116,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ( truthday @ wednesday )
| ( truthday @ friday )
| ( truthday @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(117,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ wednesday ) )
| ~ ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ friday ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(118,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ( day2 @ ( consecutive @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(119,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day2 @ ( consecutive @ SX0 ) )
| ( day1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(120,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ( day3 @ ( consecutive @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(121,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day3 @ ( consecutive @ SX0 ) )
| ( day2 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(122,plain,
! [SV1: $i] :
( ( ( SV1 = saturday )
= $true )
| ( ( ( SV1 = friday )
| ( SV1 = thursday )
| ( SV1 = wednesday )
| ( SV1 = monday )
| ( SV1 = tuesday ) )
= $true )
| ( ( SV1 = sunday )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(123,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( truthday @ SV2 )
| ~ ( truthday @ SV6 ) )
= $true )
| ( ( SV2 = SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(124,plain,
! [SV7: $i,SV3: $i] :
( ( ( ~ ( day1 @ SV3 )
| ~ ( day1 @ SV7 ) )
= $true )
| ( ( SV3 = SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(125,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( day2 @ SV4 )
| ~ ( day2 @ SV8 ) )
= $true )
| ( ( SV4 = SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(126,plain,
! [SV9: $i,SV5: $i] :
( ( ( ~ ( day3 @ SV5 )
| ~ ( day3 @ SV9 ) )
= $true )
| ( ( SV5 = SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(127,plain,
( ( ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ( truthday @ monday )
| ( truthday @ tuesday )
| ( truthday @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(128,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ monday ) )
| ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ tuesday ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(129,plain,
( ( ( saturday != sunday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(130,plain,
( ( ~ ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(131,plain,
( ( ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( truthday @ SX0 )
| ( day2 @ sunday )
| ( day2 @ thursday )
| ( day2 @ saturday ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(132,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ sunday )
| ( truthday @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ thursday )
| ( truthday @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ saturday )
| ( truthday @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(133,plain,
( ( ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ( truthday @ wednesday )
| ( truthday @ friday )
| ( truthday @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(134,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ wednesday ) )
| ~ ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ friday ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(135,plain,
( ( ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ( day2 @ ( consecutive @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(136,plain,
( ( ! [SX0: $i] :
( ~ ( day2 @ ( consecutive @ SX0 ) )
| ( day1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(137,plain,
( ( ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ( day3 @ ( consecutive @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(138,plain,
( ( ! [SX0: $i] :
( ~ ( day3 @ ( consecutive @ SX0 ) )
| ( day2 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(139,plain,
! [SV1: $i] :
( ( ( SV1 = friday )
= $true )
| ( ( ( SV1 = thursday )
| ( SV1 = wednesday )
| ( SV1 = monday )
| ( SV1 = tuesday ) )
= $true )
| ( ( SV1 = saturday )
= $true )
| ( ( SV1 = sunday )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(140,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( truthday @ SV2 ) )
= $true )
| ( ( ~ ( truthday @ SV6 ) )
= $true )
| ( ( SV2 = SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(141,plain,
! [SV7: $i,SV3: $i] :
( ( ( ~ ( day1 @ SV3 ) )
= $true )
| ( ( ~ ( day1 @ SV7 ) )
= $true )
| ( ( SV3 = SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(142,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( day2 @ SV4 ) )
= $true )
| ( ( ~ ( day2 @ SV8 ) )
= $true )
| ( ( SV4 = SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(143,plain,
! [SV9: $i,SV5: $i] :
( ( ( ~ ( day3 @ SV5 ) )
= $true )
| ( ( ~ ( day3 @ SV9 ) )
= $true )
| ( ( SV5 = SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(144,plain,
! [SV10: $i] :
( ( ~ ( day1 @ SV10 )
| ( truthday @ monday )
| ( truthday @ tuesday )
| ( truthday @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(145,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ monday ) )
| ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ tuesday ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(146,plain,
( ( saturday = sunday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(147,plain,
( ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(148,plain,
! [SV11: $i] :
( ( ~ ( day2 @ SV11 )
| ~ ( truthday @ SV11 )
| ( day2 @ sunday )
| ( day2 @ thursday )
| ( day2 @ saturday ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(149,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ sunday )
| ( truthday @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ thursday )
| ( truthday @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ saturday )
| ( truthday @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(150,plain,
! [SV12: $i] :
( ( ~ ( day3 @ SV12 )
| ( truthday @ wednesday )
| ( truthday @ friday )
| ( truthday @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(151,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ wednesday ) )
| ~ ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ friday ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(152,plain,
! [SV13: $i] :
( ( ~ ( day1 @ SV13 )
| ( day2 @ ( consecutive @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(153,plain,
! [SV14: $i] :
( ( ~ ( day2 @ ( consecutive @ SV14 ) )
| ( day1 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(154,plain,
! [SV15: $i] :
( ( ~ ( day2 @ SV15 )
| ( day3 @ ( consecutive @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(155,plain,
! [SV16: $i] :
( ( ~ ( day3 @ ( consecutive @ SV16 ) )
| ( day2 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(156,plain,
! [SV1: $i] :
( ( ( SV1 = thursday )
= $true )
| ( ( ( SV1 = wednesday )
| ( SV1 = monday )
| ( SV1 = tuesday ) )
= $true )
| ( ( SV1 = friday )
= $true )
| ( ( SV1 = saturday )
= $true )
| ( ( SV1 = sunday )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(157,plain,
! [SV6: $i,SV2: $i] :
( ( ( truthday @ SV2 )
= $false )
| ( ( ~ ( truthday @ SV6 ) )
= $true )
| ( ( SV2 = SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(158,plain,
! [SV7: $i,SV3: $i] :
( ( ( day1 @ SV3 )
= $false )
| ( ( ~ ( day1 @ SV7 ) )
= $true )
| ( ( SV3 = SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(159,plain,
! [SV8: $i,SV4: $i] :
( ( ( day2 @ SV4 )
= $false )
| ( ( ~ ( day2 @ SV8 ) )
= $true )
| ( ( SV4 = SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(160,plain,
! [SV9: $i,SV5: $i] :
( ( ( day3 @ SV5 )
= $false )
| ( ( ~ ( day3 @ SV9 ) )
= $true )
| ( ( SV5 = SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(161,plain,
! [SV10: $i] :
( ( ( ~ ( day1 @ SV10 ) )
= $true )
| ( ( ( truthday @ monday )
| ( truthday @ tuesday )
| ( truthday @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(162,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ monday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(163,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ tuesday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(164,plain,
( ( ~ ( ( friday != sunday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(165,plain,
( ( ~ ~ ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(166,plain,
! [SV11: $i] :
( ( ( ~ ( day2 @ SV11 ) )
= $true )
| ( ( ~ ( truthday @ SV11 )
| ( day2 @ sunday )
| ( day2 @ thursday )
| ( day2 @ saturday ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(167,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ sunday )
| ( truthday @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(168,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ thursday )
| ( truthday @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ saturday )
| ( truthday @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(169,plain,
! [SV12: $i] :
( ( ( ~ ( day3 @ SV12 ) )
= $true )
| ( ( ( truthday @ wednesday )
| ( truthday @ friday )
| ( truthday @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(170,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ wednesday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(171,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ friday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(172,plain,
! [SV13: $i] :
( ( ( ~ ( day1 @ SV13 ) )
= $true )
| ( ( day2 @ ( consecutive @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(173,plain,
! [SV14: $i] :
( ( ( ~ ( day2 @ ( consecutive @ SV14 ) ) )
= $true )
| ( ( day1 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(174,plain,
! [SV15: $i] :
( ( ( ~ ( day2 @ SV15 ) )
= $true )
| ( ( day3 @ ( consecutive @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(175,plain,
! [SV16: $i] :
( ( ( ~ ( day3 @ ( consecutive @ SV16 ) ) )
= $true )
| ( ( day2 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(176,plain,
! [SV1: $i] :
( ( ( SV1 = wednesday )
= $true )
| ( ( ( SV1 = monday )
| ( SV1 = tuesday ) )
= $true )
| ( ( SV1 = thursday )
= $true )
| ( ( SV1 = friday )
= $true )
| ( ( SV1 = saturday )
= $true )
| ( ( SV1 = sunday )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(177,plain,
! [SV2: $i,SV6: $i] :
( ( ( truthday @ SV6 )
= $false )
| ( ( truthday @ SV2 )
= $false )
| ( ( SV2 = SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(178,plain,
! [SV3: $i,SV7: $i] :
( ( ( day1 @ SV7 )
= $false )
| ( ( day1 @ SV3 )
= $false )
| ( ( SV3 = SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(179,plain,
! [SV4: $i,SV8: $i] :
( ( ( day2 @ SV8 )
= $false )
| ( ( day2 @ SV4 )
= $false )
| ( ( SV4 = SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(180,plain,
! [SV5: $i,SV9: $i] :
( ( ( day3 @ SV9 )
= $false )
| ( ( day3 @ SV5 )
= $false )
| ( ( SV5 = SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(181,plain,
! [SV10: $i] :
( ( ( day1 @ SV10 )
= $false )
| ( ( ( truthday @ monday )
| ( truthday @ tuesday )
| ( truthday @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(182,plain,
( ( ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ monday ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(183,plain,
( ( ! [SX0: $i] :
( ~ ( day1 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ tuesday ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(184,plain,
( ( ( friday != sunday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(185,plain,
( ( ~ ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(186,plain,
! [SV11: $i] :
( ( ( day2 @ SV11 )
= $false )
| ( ( ~ ( truthday @ SV11 )
| ( day2 @ sunday )
| ( day2 @ thursday )
| ( day2 @ saturday ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(187,plain,
( ( ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ sunday )
| ( truthday @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(188,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ thursday )
| ( truthday @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ saturday )
| ( truthday @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(189,plain,
! [SV12: $i] :
( ( ( day3 @ SV12 )
= $false )
| ( ( ( truthday @ wednesday )
| ( truthday @ friday )
| ( truthday @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(190,plain,
( ( ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ wednesday ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(191,plain,
( ( ! [SX0: $i] :
( ~ ( day3 @ SX0 )
| ~ ( truthday @ SX0 )
| ~ ( truthday @ friday ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(192,plain,
! [SV13: $i] :
( ( ( day1 @ SV13 )
= $false )
| ( ( day2 @ ( consecutive @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(193,plain,
! [SV14: $i] :
( ( ( day2 @ ( consecutive @ SV14 ) )
= $false )
| ( ( day1 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(194,plain,
! [SV15: $i] :
( ( ( day2 @ SV15 )
= $false )
| ( ( day3 @ ( consecutive @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(195,plain,
! [SV16: $i] :
( ( ( day3 @ ( consecutive @ SV16 ) )
= $false )
| ( ( day2 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(196,plain,
! [SV1: $i] :
( ( ( SV1 = monday )
= $true )
| ( ( SV1 = tuesday )
= $true )
| ( ( SV1 = wednesday )
= $true )
| ( ( SV1 = thursday )
= $true )
| ( ( SV1 = friday )
= $true )
| ( ( SV1 = saturday )
= $true )
| ( ( SV1 = sunday )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(197,plain,
! [SV10: $i] :
( ( ( ( truthday @ monday )
| ( truthday @ tuesday ) )
= $true )
| ( ( truthday @ SV10 )
= $true )
| ( ( day1 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(198,plain,
! [SV17: $i] :
( ( ~ ( day1 @ SV17 )
| ~ ( truthday @ SV17 )
| ~ ( truthday @ monday ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(199,plain,
! [SV18: $i] :
( ( ~ ( day1 @ SV18 )
| ~ ( truthday @ SV18 )
| ~ ( truthday @ tuesday ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(200,plain,
( ( friday = sunday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(201,plain,
( ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(202,plain,
! [SV11: $i] :
( ( ( ~ ( truthday @ SV11 ) )
= $true )
| ( ( ( day2 @ sunday )
| ( day2 @ thursday )
| ( day2 @ saturday ) )
= $true )
| ( ( day2 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(203,plain,
! [SV19: $i] :
( ( ~ ( day2 @ SV19 )
| ~ ( day2 @ sunday )
| ( truthday @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(204,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ thursday )
| ( truthday @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ saturday )
| ( truthday @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(205,plain,
! [SV12: $i] :
( ( ( ( truthday @ wednesday )
| ( truthday @ friday ) )
= $true )
| ( ( truthday @ SV12 )
= $true )
| ( ( day3 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(206,plain,
! [SV20: $i] :
( ( ~ ( day3 @ SV20 )
| ~ ( truthday @ SV20 )
| ~ ( truthday @ wednesday ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(207,plain,
! [SV21: $i] :
( ( ~ ( day3 @ SV21 )
| ~ ( truthday @ SV21 )
| ~ ( truthday @ friday ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(208,plain,
! [SV10: $i] :
( ( ( truthday @ monday )
= $true )
| ( ( truthday @ tuesday )
= $true )
| ( ( truthday @ SV10 )
= $true )
| ( ( day1 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(209,plain,
! [SV17: $i] :
( ( ( ~ ( day1 @ SV17 ) )
= $true )
| ( ( ~ ( truthday @ SV17 )
| ~ ( truthday @ monday ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(210,plain,
! [SV18: $i] :
( ( ( ~ ( day1 @ SV18 ) )
= $true )
| ( ( ~ ( truthday @ SV18 )
| ~ ( truthday @ tuesday ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(211,plain,
( ( ~ ( ( friday != saturday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(212,plain,
( ( ~ ~ ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(213,plain,
! [SV11: $i] :
( ( ( truthday @ SV11 )
= $false )
| ( ( ( day2 @ sunday )
| ( day2 @ thursday )
| ( day2 @ saturday ) )
= $true )
| ( ( day2 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(214,plain,
! [SV19: $i] :
( ( ( ~ ( day2 @ SV19 ) )
= $true )
| ( ( ~ ( day2 @ sunday )
| ( truthday @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(215,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ thursday )
| ( truthday @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(216,plain,
( ( ~ ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ saturday )
| ( truthday @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(217,plain,
! [SV12: $i] :
( ( ( truthday @ wednesday )
= $true )
| ( ( truthday @ friday )
= $true )
| ( ( truthday @ SV12 )
= $true )
| ( ( day3 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(218,plain,
! [SV20: $i] :
( ( ( ~ ( day3 @ SV20 ) )
= $true )
| ( ( ~ ( truthday @ SV20 )
| ~ ( truthday @ wednesday ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(219,plain,
! [SV21: $i] :
( ( ( ~ ( day3 @ SV21 ) )
= $true )
| ( ( ~ ( truthday @ SV21 )
| ~ ( truthday @ friday ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(220,plain,
! [SV17: $i] :
( ( ( day1 @ SV17 )
= $false )
| ( ( ~ ( truthday @ SV17 )
| ~ ( truthday @ monday ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(221,plain,
! [SV18: $i] :
( ( ( day1 @ SV18 )
= $false )
| ( ( ~ ( truthday @ SV18 )
| ~ ( truthday @ tuesday ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(222,plain,
( ( ( friday != saturday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(223,plain,
( ( ~ ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(224,plain,
! [SV11: $i] :
( ( ( day2 @ sunday )
= $true )
| ( ( ( day2 @ thursday )
| ( day2 @ saturday ) )
= $true )
| ( ( truthday @ SV11 )
= $false )
| ( ( day2 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(225,plain,
! [SV19: $i] :
( ( ( day2 @ SV19 )
= $false )
| ( ( ~ ( day2 @ sunday )
| ( truthday @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(226,plain,
( ( ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ thursday )
| ( truthday @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(227,plain,
( ( ! [SX0: $i] :
( ~ ( day2 @ SX0 )
| ~ ( day2 @ saturday )
| ( truthday @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(228,plain,
! [SV20: $i] :
( ( ( day3 @ SV20 )
= $false )
| ( ( ~ ( truthday @ SV20 )
| ~ ( truthday @ wednesday ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(229,plain,
! [SV21: $i] :
( ( ( day3 @ SV21 )
= $false )
| ( ( ~ ( truthday @ SV21 )
| ~ ( truthday @ friday ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(230,plain,
! [SV17: $i] :
( ( ( ~ ( truthday @ SV17 ) )
= $true )
| ( ( ~ ( truthday @ monday ) )
= $true )
| ( ( day1 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(231,plain,
! [SV18: $i] :
( ( ( ~ ( truthday @ SV18 ) )
= $true )
| ( ( ~ ( truthday @ tuesday ) )
= $true )
| ( ( day1 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(232,plain,
( ( friday = saturday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(233,plain,
( ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(234,plain,
! [SV11: $i] :
( ( ( day2 @ thursday )
= $true )
| ( ( day2 @ saturday )
= $true )
| ( ( day2 @ sunday )
= $true )
| ( ( truthday @ SV11 )
= $false )
| ( ( day2 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(235,plain,
! [SV19: $i] :
( ( ( ~ ( day2 @ sunday ) )
= $true )
| ( ( truthday @ SV19 )
= $true )
| ( ( day2 @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(236,plain,
! [SV22: $i] :
( ( ~ ( day2 @ SV22 )
| ~ ( day2 @ thursday )
| ( truthday @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(237,plain,
! [SV23: $i] :
( ( ~ ( day2 @ SV23 )
| ~ ( day2 @ saturday )
| ( truthday @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(238,plain,
! [SV20: $i] :
( ( ( ~ ( truthday @ SV20 ) )
= $true )
| ( ( ~ ( truthday @ wednesday ) )
= $true )
| ( ( day3 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(239,plain,
! [SV21: $i] :
( ( ( ~ ( truthday @ SV21 ) )
= $true )
| ( ( ~ ( truthday @ friday ) )
= $true )
| ( ( day3 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(240,plain,
! [SV17: $i] :
( ( ( truthday @ SV17 )
= $false )
| ( ( ~ ( truthday @ monday ) )
= $true )
| ( ( day1 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(241,plain,
! [SV18: $i] :
( ( ( truthday @ SV18 )
= $false )
| ( ( ~ ( truthday @ tuesday ) )
= $true )
| ( ( day1 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(242,plain,
( ( ~ ( ( thursday != sunday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(243,plain,
( ( ~ ~ ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(244,plain,
! [SV19: $i] :
( ( ( day2 @ sunday )
= $false )
| ( ( truthday @ SV19 )
= $true )
| ( ( day2 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(245,plain,
! [SV22: $i] :
( ( ( ~ ( day2 @ SV22 ) )
= $true )
| ( ( ~ ( day2 @ thursday )
| ( truthday @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(246,plain,
! [SV23: $i] :
( ( ( ~ ( day2 @ SV23 ) )
= $true )
| ( ( ~ ( day2 @ saturday )
| ( truthday @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(247,plain,
! [SV20: $i] :
( ( ( truthday @ SV20 )
= $false )
| ( ( ~ ( truthday @ wednesday ) )
= $true )
| ( ( day3 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(248,plain,
! [SV21: $i] :
( ( ( truthday @ SV21 )
= $false )
| ( ( ~ ( truthday @ friday ) )
= $true )
| ( ( day3 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(249,plain,
! [SV17: $i] :
( ( ( truthday @ monday )
= $false )
| ( ( truthday @ SV17 )
= $false )
| ( ( day1 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(250,plain,
! [SV18: $i] :
( ( ( truthday @ tuesday )
= $false )
| ( ( truthday @ SV18 )
= $false )
| ( ( day1 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(251,plain,
( ( ( thursday != sunday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(252,plain,
( ( ~ ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(253,plain,
! [SV22: $i] :
( ( ( day2 @ SV22 )
= $false )
| ( ( ~ ( day2 @ thursday )
| ( truthday @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(254,plain,
! [SV23: $i] :
( ( ( day2 @ SV23 )
= $false )
| ( ( ~ ( day2 @ saturday )
| ( truthday @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(255,plain,
! [SV20: $i] :
( ( ( truthday @ wednesday )
= $false )
| ( ( truthday @ SV20 )
= $false )
| ( ( day3 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(256,plain,
! [SV21: $i] :
( ( ( truthday @ friday )
= $false )
| ( ( truthday @ SV21 )
= $false )
| ( ( day3 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(257,plain,
( ( thursday = sunday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(258,plain,
( ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(259,plain,
! [SV22: $i] :
( ( ( ~ ( day2 @ thursday ) )
= $true )
| ( ( truthday @ SV22 )
= $true )
| ( ( day2 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(260,plain,
! [SV23: $i] :
( ( ( ~ ( day2 @ saturday ) )
= $true )
| ( ( truthday @ SV23 )
= $true )
| ( ( day2 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(261,plain,
( ( ~ ( ( thursday != saturday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(262,plain,
( ( ~ ~ ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(263,plain,
! [SV22: $i] :
( ( ( day2 @ thursday )
= $false )
| ( ( truthday @ SV22 )
= $true )
| ( ( day2 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(264,plain,
! [SV23: $i] :
( ( ( day2 @ saturday )
= $false )
| ( ( truthday @ SV23 )
= $true )
| ( ( day2 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(265,plain,
( ( ( thursday != saturday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(266,plain,
( ( ~ ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(267,plain,
( ( thursday = saturday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(268,plain,
( ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(269,plain,
( ( ~ ( ( thursday != friday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(270,plain,
( ( ~ ~ ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(271,plain,
( ( ( thursday != friday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(272,plain,
( ( ~ ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(273,plain,
( ( thursday = friday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(274,plain,
( ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(275,plain,
( ( ~ ( ( wednesday != sunday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[274]) ).
thf(276,plain,
( ( ~ ~ ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[274]) ).
thf(277,plain,
( ( ( wednesday != sunday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(278,plain,
( ( ~ ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(279,plain,
( ( wednesday = sunday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(280,plain,
( ( ~ ( ( 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 != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(281,plain,
( ( ~ ( ( wednesday != saturday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(282,plain,
( ( ~ ~ ( ~ ( ( wednesday != friday ) )
| ~ ~ ( ~ ( ( wednesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != sunday ) )
| ~ ~ ( ~ ( ( tuesday != saturday ) )
| ~ ~ ( ~ ( ( tuesday != friday ) )
| ~ ~ ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(283,plain,
( ( ( wednesday != saturday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(284,plain,
( ( ~ ( ~ ( ( wednesday != friday ) )
| ~ ~ ( ~ ( ( wednesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != sunday ) )
| ~ ~ ( ~ ( ( tuesday != saturday ) )
| ~ ~ ( ~ ( ( tuesday != friday ) )
| ~ ~ ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(285,plain,
( ( wednesday = saturday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(286,plain,
( ( ~ ( ( wednesday != friday ) )
| ~ ~ ( ~ ( ( wednesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != sunday ) )
| ~ ~ ( ~ ( ( tuesday != saturday ) )
| ~ ~ ( ~ ( ( tuesday != friday ) )
| ~ ~ ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(287,plain,
( ( ~ ( ( wednesday != friday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(288,plain,
( ( ~ ~ ( ~ ( ( wednesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != sunday ) )
| ~ ~ ( ~ ( ( tuesday != saturday ) )
| ~ ~ ( ~ ( ( tuesday != friday ) )
| ~ ~ ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(289,plain,
( ( ( wednesday != friday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(290,plain,
( ( ~ ( ~ ( ( wednesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != sunday ) )
| ~ ~ ( ~ ( ( tuesday != saturday ) )
| ~ ~ ( ~ ( ( tuesday != friday ) )
| ~ ~ ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(291,plain,
( ( wednesday = friday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(292,plain,
( ( ~ ( ( wednesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != sunday ) )
| ~ ~ ( ~ ( ( tuesday != saturday ) )
| ~ ~ ( ~ ( ( tuesday != friday ) )
| ~ ~ ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(293,plain,
( ( ~ ( ( wednesday != thursday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(294,plain,
( ( ~ ~ ( ~ ( ( tuesday != sunday ) )
| ~ ~ ( ~ ( ( tuesday != saturday ) )
| ~ ~ ( ~ ( ( tuesday != friday ) )
| ~ ~ ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(295,plain,
( ( ( wednesday != thursday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(296,plain,
( ( ~ ( ~ ( ( tuesday != sunday ) )
| ~ ~ ( ~ ( ( tuesday != saturday ) )
| ~ ~ ( ~ ( ( tuesday != friday ) )
| ~ ~ ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(297,plain,
( ( wednesday = thursday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(298,plain,
( ( ~ ( ( tuesday != sunday ) )
| ~ ~ ( ~ ( ( tuesday != saturday ) )
| ~ ~ ( ~ ( ( tuesday != friday ) )
| ~ ~ ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(299,plain,
( ( ~ ( ( tuesday != sunday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(300,plain,
( ( ~ ~ ( ~ ( ( tuesday != saturday ) )
| ~ ~ ( ~ ( ( tuesday != friday ) )
| ~ ~ ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(301,plain,
( ( ( tuesday != sunday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(302,plain,
( ( ~ ( ~ ( ( tuesday != saturday ) )
| ~ ~ ( ~ ( ( tuesday != friday ) )
| ~ ~ ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(303,plain,
( ( tuesday = sunday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(304,plain,
( ( ~ ( ( tuesday != saturday ) )
| ~ ~ ( ~ ( ( tuesday != friday ) )
| ~ ~ ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(305,plain,
( ( ~ ( ( tuesday != saturday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(306,plain,
( ( ~ ~ ( ~ ( ( tuesday != friday ) )
| ~ ~ ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(307,plain,
( ( ( tuesday != saturday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(308,plain,
( ( ~ ( ~ ( ( tuesday != friday ) )
| ~ ~ ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(309,plain,
( ( tuesday = saturday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(310,plain,
( ( ~ ( ( tuesday != friday ) )
| ~ ~ ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(311,plain,
( ( ~ ( ( tuesday != friday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(312,plain,
( ( ~ ~ ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(313,plain,
( ( ( tuesday != friday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(314,plain,
( ( ~ ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(315,plain,
( ( tuesday = friday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(316,plain,
( ( ~ ( ( tuesday != thursday ) )
| ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(317,plain,
( ( ~ ( ( tuesday != thursday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(318,plain,
( ( ~ ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(319,plain,
( ( ( tuesday != thursday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(320,plain,
( ( ~ ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(321,plain,
( ( tuesday = thursday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(322,plain,
( ( ~ ( ( tuesday != wednesday ) )
| ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(323,plain,
( ( ~ ( ( tuesday != wednesday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[322]) ).
thf(324,plain,
( ( ~ ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[322]) ).
thf(325,plain,
( ( ( tuesday != wednesday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(326,plain,
( ( ~ ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(327,plain,
( ( tuesday = wednesday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(328,plain,
( ( ~ ( ( monday != sunday ) )
| ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(329,plain,
( ( ~ ( ( monday != sunday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(330,plain,
( ( ~ ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(331,plain,
( ( ( monday != sunday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(332,plain,
( ( ~ ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(333,plain,
( ( monday = sunday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(334,plain,
( ( ~ ( ( monday != saturday ) )
| ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(335,plain,
( ( ~ ( ( monday != saturday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(336,plain,
( ( ~ ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(337,plain,
( ( ( monday != saturday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[335]) ).
thf(338,plain,
( ( ~ ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(339,plain,
( ( monday = saturday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(340,plain,
( ( ~ ( ( monday != friday ) )
| ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(341,plain,
( ( ~ ( ( monday != friday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(342,plain,
( ( ~ ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(343,plain,
( ( ( monday != friday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(344,plain,
( ( ~ ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(345,plain,
( ( monday = friday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(346,plain,
( ( ~ ( ( monday != thursday ) )
| ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(347,plain,
( ( ~ ( ( monday != thursday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(348,plain,
( ( ~ ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(349,plain,
( ( ( monday != thursday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(350,plain,
( ( ~ ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(351,plain,
( ( monday = thursday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(352,plain,
( ( ~ ( ( monday != tuesday ) )
| ~ ( ( monday != wednesday ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(353,plain,
( ( ~ ( ( monday != tuesday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(354,plain,
( ( ~ ( ( monday != wednesday ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(355,plain,
( ( ( monday != tuesday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(356,plain,
( ( ( monday != wednesday ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(357,plain,
( ( monday = tuesday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(358,plain,
( ( monday = wednesday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(359,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[70,358,357,351,345,339,333,327,321,315,309,303,297,291,285,279,273,267,264,263,257,256,255,250,249,244,234,232,217,208,200,196,195,194,193,192,180,179,178,177,146,98,80,79,78,77,76,75,74,73,72,71]) ).
thf(360,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[359]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : PUZ078+1 : TPTP v8.1.0. Released v3.5.0.
% 0.08/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat May 28 21:38:55 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 22
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.37 (rf:0,axioms:22,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:24,loop_count:0,foatp_calls:0,translation:fof_full)................
% 0.89/1.14
% 0.89/1.14 ********************************
% 0.89/1.14 * All subproblems solved! *
% 0.89/1.14 ********************************
% 0.89/1.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:22,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:359,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.01/1.20
% 1.01/1.20 %**** Beginning of derivation protocol ****
% 1.01/1.20 % SZS output start CNFRefutation
% See solution above
% 1.01/1.20
% 1.01/1.20 %**** End of derivation protocol ****
% 1.01/1.20 %**** no. of clauses in derivation: 360 ****
% 1.01/1.20 %**** clause counter: 359 ****
% 1.01/1.20
% 1.01/1.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:22,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:359,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------