TSTP Solution File: PUZ018-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ018-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 18:19:17 EDT 2022
% Result : Unsatisfiable 0.21s 0.46s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 64
% Syntax : Number of formulae : 256 ( 190 unt; 15 typ; 0 def)
% Number of atoms : 1124 ( 298 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 1444 ( 232 ~; 287 |; 0 &; 925 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 12 con; 0-2 aty)
% Number of variables : 208 ( 0 ^ 208 !; 0 ?; 208 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_all_on,type,
all_on: $i > $o ).
thf(tp_b,type,
b: $i ).
thf(tp_c,type,
c: $i ).
thf(tp_consecutive,type,
consecutive: $i > $i > $o ).
thf(tp_friday,type,
friday: $i ).
thf(tp_monday,type,
monday: $i ).
thf(tp_on,type,
on: $i > $i > $o ).
thf(tp_same_day,type,
same_day: $i > $i > $o ).
thf(tp_same_person,type,
same_person: $i > $i > $o ).
thf(tp_saturday,type,
saturday: $i ).
thf(tp_sunday,type,
sunday: $i ).
thf(tp_thursday,type,
thursday: $i ).
thf(tp_tuesday,type,
tuesday: $i ).
thf(tp_wednesday,type,
wednesday: $i ).
thf(1,axiom,
~ ( same_day @ friday @ saturday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',friday_not_saturday) ).
thf(2,axiom,
~ ( same_day @ thursday @ saturday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_not_saturday) ).
thf(3,axiom,
~ ( same_day @ thursday @ friday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_not_friday) ).
thf(4,axiom,
~ ( same_day @ wednesday @ saturday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_not_saturday) ).
thf(5,axiom,
~ ( same_day @ wednesday @ friday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_not_friday) ).
thf(6,axiom,
~ ( same_day @ wednesday @ thursday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_not_thursday) ).
thf(7,axiom,
~ ( same_day @ tuesday @ saturday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_saturday) ).
thf(8,axiom,
~ ( same_day @ tuesday @ friday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_friday) ).
thf(9,axiom,
~ ( same_day @ tuesday @ thursday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_thursday) ).
thf(10,axiom,
~ ( same_day @ tuesday @ wednesday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_wednesday) ).
thf(11,axiom,
~ ( same_day @ monday @ saturday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_not_saturday) ).
thf(12,axiom,
~ ( same_day @ monday @ friday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_not_friday) ).
thf(13,axiom,
~ ( same_day @ monday @ thursday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_not_thursday) ).
thf(14,axiom,
~ ( same_day @ monday @ wednesday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_not_wednesday) ).
thf(15,axiom,
~ ( same_day @ monday @ tuesday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_not_tuesday) ).
thf(16,axiom,
~ ( same_day @ sunday @ saturday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_saturday) ).
thf(17,axiom,
~ ( same_day @ sunday @ friday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_friday) ).
thf(18,axiom,
~ ( same_day @ sunday @ thursday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_thursday) ).
thf(19,axiom,
~ ( same_day @ sunday @ wednesday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_wednesday) ).
thf(20,axiom,
~ ( same_day @ sunday @ tuesday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_tuesday) ).
thf(21,axiom,
~ ( same_day @ sunday @ monday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_monday) ).
thf(22,axiom,
! [X: $i] : ( same_day @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_same_day) ).
thf(23,axiom,
~ ( same_person @ b @ c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_c) ).
thf(24,axiom,
~ ( same_person @ a @ c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
thf(25,axiom,
~ ( same_person @ a @ b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
thf(26,axiom,
! [X: $i] : ( same_person @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_same_person) ).
thf(27,axiom,
consecutive @ saturday @ sunday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_follows_saturday) ).
thf(28,axiom,
consecutive @ friday @ saturday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',staurday_follows_friday) ).
thf(29,axiom,
consecutive @ thursday @ friday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',friday_follows_thursday) ).
thf(30,axiom,
consecutive @ wednesday @ thursday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
thf(31,axiom,
consecutive @ tuesday @ wednesday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
thf(32,axiom,
consecutive @ monday @ tuesday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_follows_monday) ).
thf(33,axiom,
consecutive @ sunday @ monday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_follows_sunday) ).
thf(34,axiom,
! [X: $i,Y: $i] :
( ~ ( all_on @ X )
| ~ ( all_on @ Y )
| ( same_day @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_well_defined) ).
thf(35,axiom,
! [X: $i] :
( ( all_on @ X )
| ~ ( on @ a @ X )
| ~ ( on @ b @ X )
| ~ ( on @ c @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on) ).
thf(36,axiom,
! [X: $i] :
( ~ ( all_on @ X )
| ( on @ c @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_c_on) ).
thf(37,axiom,
! [X: $i] :
( ~ ( all_on @ X )
| ( on @ b @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_b_on) ).
thf(38,axiom,
! [X: $i] :
( ~ ( all_on @ X )
| ( on @ a @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_a_on) ).
thf(39,axiom,
~ ( on @ c @ sunday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_off_sunday) ).
thf(40,axiom,
~ ( on @ b @ saturday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_off_saturday) ).
thf(41,axiom,
~ ( on @ b @ thursday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_off_thursday) ).
thf(42,axiom,
~ ( on @ a @ thursday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_thursday) ).
thf(43,axiom,
~ ( on @ a @ tuesday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_tuesday) ).
thf(44,axiom,
~ ( on @ a @ sunday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_sunday) ).
thf(45,axiom,
! [X: $i,Y: $i,Z: $i,W: $i] :
( ( on @ X @ Y )
| ( on @ X @ Z )
| ( on @ W @ Y )
| ( on @ W @ Z )
| ( same_person @ X @ W )
| ( same_day @ Y @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_two_off_twice_together) ).
thf(46,axiom,
! [X: $i,Y: $i,Z: $i,W: $i,U: $i] :
( ~ ( consecutive @ X @ Y )
| ~ ( consecutive @ Y @ Z )
| ~ ( consecutive @ Z @ W )
| ~ ( on @ U @ X )
| ~ ( on @ U @ Y )
| ~ ( on @ U @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_on_for_3_days) ).
thf(47,axiom,
( ( all_on @ sunday )
| ( all_on @ monday )
| ( all_on @ tuesday )
| ( all_on @ wednesday )
| ( all_on @ thursday )
| ( all_on @ friday )
| ( all_on @ saturday ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_one_day) ).
thf(48,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(49,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[48]) ).
thf(50,negated_conjecture,
~ ( all_on @ friday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_all_on_friday) ).
thf(51,plain,
$false = $false,
inference(unfold_def,[status(thm)],[49]) ).
thf(52,plain,
( ( ~ ( same_day @ friday @ saturday ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(53,plain,
( ( ~ ( same_day @ thursday @ saturday ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(54,plain,
( ( ~ ( same_day @ thursday @ friday ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(55,plain,
( ( ~ ( same_day @ wednesday @ saturday ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(56,plain,
( ( ~ ( same_day @ wednesday @ friday ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(57,plain,
( ( ~ ( same_day @ wednesday @ thursday ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(58,plain,
( ( ~ ( same_day @ tuesday @ saturday ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(59,plain,
( ( ~ ( same_day @ tuesday @ friday ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(60,plain,
( ( ~ ( same_day @ tuesday @ thursday ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(61,plain,
( ( ~ ( same_day @ tuesday @ wednesday ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(62,plain,
( ( ~ ( same_day @ monday @ saturday ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(63,plain,
( ( ~ ( same_day @ monday @ friday ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(64,plain,
( ( ~ ( same_day @ monday @ thursday ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(65,plain,
( ( ~ ( same_day @ monday @ wednesday ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(66,plain,
( ( ~ ( same_day @ monday @ tuesday ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(67,plain,
( ( ~ ( same_day @ sunday @ saturday ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(68,plain,
( ( ~ ( same_day @ sunday @ friday ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(69,plain,
( ( ~ ( same_day @ sunday @ thursday ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(70,plain,
( ( ~ ( same_day @ sunday @ wednesday ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(71,plain,
( ( ~ ( same_day @ sunday @ tuesday ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(72,plain,
( ( ~ ( same_day @ sunday @ monday ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(73,plain,
( ( ! [X: $i] : ( same_day @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(74,plain,
( ( ~ ( same_person @ b @ c ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(75,plain,
( ( ~ ( same_person @ a @ c ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(76,plain,
( ( ~ ( same_person @ a @ b ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(77,plain,
( ( ! [X: $i] : ( same_person @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(78,plain,
( ( consecutive @ saturday @ sunday )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(79,plain,
( ( consecutive @ friday @ saturday )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(80,plain,
( ( consecutive @ thursday @ friday )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(81,plain,
( ( consecutive @ wednesday @ thursday )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(82,plain,
( ( consecutive @ tuesday @ wednesday )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(83,plain,
( ( consecutive @ monday @ tuesday )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(84,plain,
( ( consecutive @ sunday @ monday )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(85,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( all_on @ X )
| ~ ( all_on @ Y )
| ( same_day @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(86,plain,
( ( ! [X: $i] :
( ( all_on @ X )
| ~ ( on @ a @ X )
| ~ ( on @ b @ X )
| ~ ( on @ c @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(87,plain,
( ( ! [X: $i] :
( ~ ( all_on @ X )
| ( on @ c @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(88,plain,
( ( ! [X: $i] :
( ~ ( all_on @ X )
| ( on @ b @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(89,plain,
( ( ! [X: $i] :
( ~ ( all_on @ X )
| ( on @ a @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(90,plain,
( ( ~ ( on @ c @ sunday ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(91,plain,
( ( ~ ( on @ b @ saturday ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(92,plain,
( ( ~ ( on @ b @ thursday ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(93,plain,
( ( ~ ( on @ a @ thursday ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(94,plain,
( ( ~ ( on @ a @ tuesday ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(95,plain,
( ( ~ ( on @ a @ sunday ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(96,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ( on @ X @ Y )
| ( on @ X @ Z )
| ( on @ W @ Y )
| ( on @ W @ Z )
| ( same_person @ X @ W )
| ( same_day @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(97,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i,U: $i] :
( ~ ( consecutive @ X @ Y )
| ~ ( consecutive @ Y @ Z )
| ~ ( consecutive @ Z @ W )
| ~ ( on @ U @ X )
| ~ ( on @ U @ Y )
| ~ ( on @ U @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(98,plain,
( ( ( all_on @ sunday )
| ( all_on @ monday )
| ( all_on @ tuesday )
| ( all_on @ wednesday )
| ( all_on @ thursday )
| ( all_on @ friday )
| ( all_on @ saturday ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(99,plain,
( ( ~ ( all_on @ friday ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(100,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[51]) ).
thf(101,plain,
( ( ! [X: $i] :
( ~ ( all_on @ X )
| ! [Y: $i] :
( ~ ( all_on @ Y )
| ( same_day @ X @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(102,plain,
( ( ! [X: $i,Y: $i] :
( ( on @ X @ Y )
| ! [Z: $i] :
( ( on @ X @ Z )
| ! [W: $i] :
( ( on @ W @ Y )
| ( on @ W @ Z )
| ( same_day @ Y @ Z )
| ( same_person @ X @ W ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[96]) ).
thf(103,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( consecutive @ X @ Y )
| ~ ( consecutive @ Y @ Z )
| ! [W: $i] :
~ ( consecutive @ Z @ W )
| ! [U: $i] :
( ~ ( on @ U @ X )
| ~ ( on @ U @ Y )
| ~ ( on @ U @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[97]) ).
thf(104,plain,
( ( ~ ( all_on @ friday ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(105,plain,
( ( ( all_on @ sunday )
| ( all_on @ monday )
| ( all_on @ tuesday )
| ( all_on @ wednesday )
| ( all_on @ thursday )
| ( all_on @ friday )
| ( all_on @ saturday ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(106,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( consecutive @ X @ Y )
| ~ ( consecutive @ Y @ Z )
| ! [W: $i] :
~ ( consecutive @ Z @ W )
| ! [U: $i] :
( ~ ( on @ U @ X )
| ~ ( on @ U @ Y )
| ~ ( on @ U @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(107,plain,
( ( ! [X: $i,Y: $i] :
( ( on @ X @ Y )
| ! [Z: $i] :
( ( on @ X @ Z )
| ! [W: $i] :
( ( on @ W @ Y )
| ( on @ W @ Z )
| ( same_day @ Y @ Z )
| ( same_person @ X @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(108,plain,
( ( ~ ( on @ a @ sunday ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(109,plain,
( ( ~ ( on @ a @ tuesday ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(110,plain,
( ( ~ ( on @ a @ thursday ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(111,plain,
( ( ~ ( on @ b @ thursday ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(112,plain,
( ( ~ ( on @ b @ saturday ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(113,plain,
( ( ~ ( on @ c @ sunday ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(114,plain,
( ( ! [X: $i] :
( ~ ( all_on @ X )
| ( on @ a @ X ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(115,plain,
( ( ! [X: $i] :
( ~ ( all_on @ X )
| ( on @ b @ X ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(116,plain,
( ( ! [X: $i] :
( ~ ( all_on @ X )
| ( on @ c @ X ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(117,plain,
( ( ! [X: $i] :
( ( all_on @ X )
| ~ ( on @ a @ X )
| ~ ( on @ b @ X )
| ~ ( on @ c @ X ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(118,plain,
( ( ! [X: $i] :
( ~ ( all_on @ X )
| ! [Y: $i] :
( ~ ( all_on @ Y )
| ( same_day @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(119,plain,
( ( consecutive @ sunday @ monday )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(120,plain,
( ( consecutive @ monday @ tuesday )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(121,plain,
( ( consecutive @ tuesday @ wednesday )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(122,plain,
( ( consecutive @ wednesday @ thursday )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(123,plain,
( ( consecutive @ thursday @ friday )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(124,plain,
( ( consecutive @ friday @ saturday )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(125,plain,
( ( consecutive @ saturday @ sunday )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(126,plain,
( ( ! [X: $i] : ( same_person @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(127,plain,
( ( ~ ( same_person @ a @ b ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(128,plain,
( ( ~ ( same_person @ a @ c ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(129,plain,
( ( ~ ( same_person @ b @ c ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(130,plain,
( ( ! [X: $i] : ( same_day @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(131,plain,
( ( ~ ( same_day @ sunday @ monday ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(132,plain,
( ( ~ ( same_day @ sunday @ tuesday ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(133,plain,
( ( ~ ( same_day @ sunday @ wednesday ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(134,plain,
( ( ~ ( same_day @ sunday @ thursday ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(135,plain,
( ( ~ ( same_day @ sunday @ friday ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(136,plain,
( ( ~ ( same_day @ sunday @ saturday ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(137,plain,
( ( ~ ( same_day @ monday @ tuesday ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(138,plain,
( ( ~ ( same_day @ monday @ wednesday ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(139,plain,
( ( ~ ( same_day @ monday @ thursday ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(140,plain,
( ( ~ ( same_day @ monday @ friday ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(141,plain,
( ( ~ ( same_day @ monday @ saturday ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(142,plain,
( ( ~ ( same_day @ tuesday @ wednesday ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(143,plain,
( ( ~ ( same_day @ tuesday @ thursday ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(144,plain,
( ( ~ ( same_day @ tuesday @ friday ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(145,plain,
( ( ~ ( same_day @ tuesday @ saturday ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(146,plain,
( ( ~ ( same_day @ wednesday @ thursday ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(147,plain,
( ( ~ ( same_day @ wednesday @ friday ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(148,plain,
( ( ~ ( same_day @ wednesday @ saturday ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(149,plain,
( ( ~ ( same_day @ thursday @ friday ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(150,plain,
( ( ~ ( same_day @ thursday @ saturday ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(151,plain,
( ( ~ ( same_day @ friday @ saturday ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(152,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(153,plain,
( ( all_on @ friday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(154,plain,
( ( ( all_on @ sunday )
= $true )
| ( ( ( all_on @ monday )
| ( all_on @ tuesday )
| ( all_on @ wednesday )
| ( all_on @ thursday )
| ( all_on @ friday )
| ( all_on @ saturday ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(155,plain,
! [SV1: $i] :
( ( ! [SY17: $i,SY18: $i] :
( ~ ( consecutive @ SV1 @ SY17 )
| ~ ( consecutive @ SY17 @ SY18 )
| ! [W: $i] :
~ ( consecutive @ SY18 @ W )
| ! [SY20: $i] :
( ~ ( on @ SY20 @ SV1 )
| ~ ( on @ SY20 @ SY17 )
| ~ ( on @ SY20 @ SY18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(156,plain,
! [SV2: $i] :
( ( ! [SY21: $i] :
( ( on @ SV2 @ SY21 )
| ! [SY22: $i] :
( ( on @ SV2 @ SY22 )
| ! [SY23: $i] :
( ( on @ SY23 @ SY21 )
| ( on @ SY23 @ SY22 )
| ( same_day @ SY21 @ SY22 )
| ( same_person @ SV2 @ SY23 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(157,plain,
( ( on @ a @ sunday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(158,plain,
( ( on @ a @ tuesday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(159,plain,
( ( on @ a @ thursday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(160,plain,
( ( on @ b @ thursday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(161,plain,
( ( on @ b @ saturday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(162,plain,
( ( on @ c @ sunday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(163,plain,
! [SV3: $i] :
( ( ~ ( all_on @ SV3 )
| ( on @ a @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(164,plain,
! [SV4: $i] :
( ( ~ ( all_on @ SV4 )
| ( on @ b @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(165,plain,
! [SV5: $i] :
( ( ~ ( all_on @ SV5 )
| ( on @ c @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(166,plain,
! [SV6: $i] :
( ( ( all_on @ SV6 )
| ~ ( on @ a @ SV6 )
| ~ ( on @ b @ SV6 )
| ~ ( on @ c @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(167,plain,
! [SV7: $i] :
( ( ~ ( all_on @ SV7 )
| ! [SY24: $i] :
( ~ ( all_on @ SY24 )
| ( same_day @ SV7 @ SY24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(168,plain,
! [SV8: $i] :
( ( same_person @ SV8 @ SV8 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(169,plain,
( ( same_person @ a @ b )
= $false ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(170,plain,
( ( same_person @ a @ c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(171,plain,
( ( same_person @ b @ c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(172,plain,
! [SV9: $i] :
( ( same_day @ SV9 @ SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(173,plain,
( ( same_day @ sunday @ monday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(174,plain,
( ( same_day @ sunday @ tuesday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(175,plain,
( ( same_day @ sunday @ wednesday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(176,plain,
( ( same_day @ sunday @ thursday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(177,plain,
( ( same_day @ sunday @ friday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(178,plain,
( ( same_day @ sunday @ saturday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(179,plain,
( ( same_day @ monday @ tuesday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(180,plain,
( ( same_day @ monday @ wednesday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(181,plain,
( ( same_day @ monday @ thursday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(182,plain,
( ( same_day @ monday @ friday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(183,plain,
( ( same_day @ monday @ saturday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(184,plain,
( ( same_day @ tuesday @ wednesday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(185,plain,
( ( same_day @ tuesday @ thursday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(186,plain,
( ( same_day @ tuesday @ friday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(187,plain,
( ( same_day @ tuesday @ saturday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(188,plain,
( ( same_day @ wednesday @ thursday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(189,plain,
( ( same_day @ wednesday @ friday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(190,plain,
( ( same_day @ wednesday @ saturday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(191,plain,
( ( same_day @ thursday @ friday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(192,plain,
( ( same_day @ thursday @ saturday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(193,plain,
( ( same_day @ friday @ saturday )
= $false ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(194,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(195,plain,
( ( ( all_on @ monday )
= $true )
| ( ( ( all_on @ tuesday )
| ( all_on @ wednesday )
| ( all_on @ thursday )
| ( all_on @ friday )
| ( all_on @ saturday ) )
= $true )
| ( ( all_on @ sunday )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(196,plain,
! [SV10: $i,SV1: $i] :
( ( ! [SY25: $i] :
( ~ ( consecutive @ SV1 @ SV10 )
| ~ ( consecutive @ SV10 @ SY25 )
| ! [W: $i] :
~ ( consecutive @ SY25 @ W )
| ! [SY27: $i] :
( ~ ( on @ SY27 @ SV1 )
| ~ ( on @ SY27 @ SV10 )
| ~ ( on @ SY27 @ SY25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(197,plain,
! [SV11: $i,SV2: $i] :
( ( ( on @ SV2 @ SV11 )
| ! [SY28: $i] :
( ( on @ SV2 @ SY28 )
| ! [SY29: $i] :
( ( on @ SY29 @ SV11 )
| ( on @ SY29 @ SY28 )
| ( same_day @ SV11 @ SY28 )
| ( same_person @ SV2 @ SY29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(198,plain,
! [SV3: $i] :
( ( ( ~ ( all_on @ SV3 ) )
= $true )
| ( ( on @ a @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(199,plain,
! [SV4: $i] :
( ( ( ~ ( all_on @ SV4 ) )
= $true )
| ( ( on @ b @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(200,plain,
! [SV5: $i] :
( ( ( ~ ( all_on @ SV5 ) )
= $true )
| ( ( on @ c @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(201,plain,
! [SV6: $i] :
( ( ( all_on @ SV6 )
= $true )
| ( ( ~ ( on @ a @ SV6 )
| ~ ( on @ b @ SV6 )
| ~ ( on @ c @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(202,plain,
! [SV7: $i] :
( ( ( ~ ( all_on @ SV7 ) )
= $true )
| ( ( ! [SY24: $i] :
( ~ ( all_on @ SY24 )
| ( same_day @ SV7 @ SY24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(203,plain,
( ( ( all_on @ tuesday )
= $true )
| ( ( ( all_on @ wednesday )
| ( all_on @ thursday )
| ( all_on @ friday )
| ( all_on @ saturday ) )
= $true )
| ( ( all_on @ monday )
= $true )
| ( ( all_on @ sunday )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(204,plain,
! [SV12: $i,SV10: $i,SV1: $i] :
( ( ~ ( consecutive @ SV1 @ SV10 )
| ~ ( consecutive @ SV10 @ SV12 )
| ! [SY30: $i] :
~ ( consecutive @ SV12 @ SY30 )
| ! [SY31: $i] :
( ~ ( on @ SY31 @ SV1 )
| ~ ( on @ SY31 @ SV10 )
| ~ ( on @ SY31 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(205,plain,
! [SV11: $i,SV2: $i] :
( ( ( on @ SV2 @ SV11 )
= $true )
| ( ( ! [SY28: $i] :
( ( on @ SV2 @ SY28 )
| ! [SY29: $i] :
( ( on @ SY29 @ SV11 )
| ( on @ SY29 @ SY28 )
| ( same_day @ SV11 @ SY28 )
| ( same_person @ SV2 @ SY29 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(206,plain,
! [SV3: $i] :
( ( ( all_on @ SV3 )
= $false )
| ( ( on @ a @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(207,plain,
! [SV4: $i] :
( ( ( all_on @ SV4 )
= $false )
| ( ( on @ b @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(208,plain,
! [SV5: $i] :
( ( ( all_on @ SV5 )
= $false )
| ( ( on @ c @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(209,plain,
! [SV6: $i] :
( ( ( ~ ( on @ a @ SV6 ) )
= $true )
| ( ( ~ ( on @ b @ SV6 )
| ~ ( on @ c @ SV6 ) )
= $true )
| ( ( all_on @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(210,plain,
! [SV7: $i] :
( ( ( all_on @ SV7 )
= $false )
| ( ( ! [SY24: $i] :
( ~ ( all_on @ SY24 )
| ( same_day @ SV7 @ SY24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(211,plain,
( ( ( all_on @ wednesday )
= $true )
| ( ( ( all_on @ thursday )
| ( all_on @ friday )
| ( all_on @ saturday ) )
= $true )
| ( ( all_on @ tuesday )
= $true )
| ( ( all_on @ monday )
= $true )
| ( ( all_on @ sunday )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(212,plain,
! [SV12: $i,SV10: $i,SV1: $i] :
( ( ( ~ ( consecutive @ SV1 @ SV10 ) )
= $true )
| ( ( ~ ( consecutive @ SV10 @ SV12 )
| ! [SY30: $i] :
~ ( consecutive @ SV12 @ SY30 )
| ! [SY31: $i] :
( ~ ( on @ SY31 @ SV1 )
| ~ ( on @ SY31 @ SV10 )
| ~ ( on @ SY31 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(213,plain,
! [SV11: $i,SV13: $i,SV2: $i] :
( ( ( ( on @ SV2 @ SV13 )
| ! [SY32: $i] :
( ( on @ SY32 @ SV11 )
| ( on @ SY32 @ SV13 )
| ( same_day @ SV11 @ SV13 )
| ( same_person @ SV2 @ SY32 ) ) )
= $true )
| ( ( on @ SV2 @ SV11 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(214,plain,
! [SV6: $i] :
( ( ( on @ a @ SV6 )
= $false )
| ( ( ~ ( on @ b @ SV6 )
| ~ ( on @ c @ SV6 ) )
= $true )
| ( ( all_on @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(215,plain,
! [SV7: $i,SV14: $i] :
( ( ( ~ ( all_on @ SV14 )
| ( same_day @ SV7 @ SV14 ) )
= $true )
| ( ( all_on @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(216,plain,
( ( ( all_on @ thursday )
= $true )
| ( ( ( all_on @ friday )
| ( all_on @ saturday ) )
= $true )
| ( ( all_on @ wednesday )
= $true )
| ( ( all_on @ tuesday )
= $true )
| ( ( all_on @ monday )
= $true )
| ( ( all_on @ sunday )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(217,plain,
! [SV12: $i,SV10: $i,SV1: $i] :
( ( ( consecutive @ SV1 @ SV10 )
= $false )
| ( ( ~ ( consecutive @ SV10 @ SV12 )
| ! [SY30: $i] :
~ ( consecutive @ SV12 @ SY30 )
| ! [SY31: $i] :
( ~ ( on @ SY31 @ SV1 )
| ~ ( on @ SY31 @ SV10 )
| ~ ( on @ SY31 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(218,plain,
! [SV11: $i,SV13: $i,SV2: $i] :
( ( ( on @ SV2 @ SV13 )
= $true )
| ( ( ! [SY32: $i] :
( ( on @ SY32 @ SV11 )
| ( on @ SY32 @ SV13 )
| ( same_day @ SV11 @ SV13 )
| ( same_person @ SV2 @ SY32 ) ) )
= $true )
| ( ( on @ SV2 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(219,plain,
! [SV6: $i] :
( ( ( ~ ( on @ b @ SV6 ) )
= $true )
| ( ( ~ ( on @ c @ SV6 ) )
= $true )
| ( ( on @ a @ SV6 )
= $false )
| ( ( all_on @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(220,plain,
! [SV7: $i,SV14: $i] :
( ( ( ~ ( all_on @ SV14 ) )
= $true )
| ( ( same_day @ SV7 @ SV14 )
= $true )
| ( ( all_on @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(221,plain,
( ( ( all_on @ friday )
= $true )
| ( ( all_on @ saturday )
= $true )
| ( ( all_on @ thursday )
= $true )
| ( ( all_on @ wednesday )
= $true )
| ( ( all_on @ tuesday )
= $true )
| ( ( all_on @ monday )
= $true )
| ( ( all_on @ sunday )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(222,plain,
! [SV1: $i,SV12: $i,SV10: $i] :
( ( ( ~ ( consecutive @ SV10 @ SV12 ) )
= $true )
| ( ( ! [SY30: $i] :
~ ( consecutive @ SV12 @ SY30 )
| ! [SY31: $i] :
( ~ ( on @ SY31 @ SV1 )
| ~ ( on @ SY31 @ SV10 )
| ~ ( on @ SY31 @ SV12 ) ) )
= $true )
| ( ( consecutive @ SV1 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(223,plain,
! [SV2: $i,SV13: $i,SV11: $i,SV15: $i] :
( ( ( ( on @ SV15 @ SV11 )
| ( on @ SV15 @ SV13 )
| ( same_day @ SV11 @ SV13 )
| ( same_person @ SV2 @ SV15 ) )
= $true )
| ( ( on @ SV2 @ SV13 )
= $true )
| ( ( on @ SV2 @ SV11 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(224,plain,
! [SV6: $i] :
( ( ( on @ b @ SV6 )
= $false )
| ( ( ~ ( on @ c @ SV6 ) )
= $true )
| ( ( on @ a @ SV6 )
= $false )
| ( ( all_on @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(225,plain,
! [SV7: $i,SV14: $i] :
( ( ( all_on @ SV14 )
= $false )
| ( ( same_day @ SV7 @ SV14 )
= $true )
| ( ( all_on @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(226,plain,
! [SV1: $i,SV12: $i,SV10: $i] :
( ( ( consecutive @ SV10 @ SV12 )
= $false )
| ( ( ! [SY30: $i] :
~ ( consecutive @ SV12 @ SY30 )
| ! [SY31: $i] :
( ~ ( on @ SY31 @ SV1 )
| ~ ( on @ SY31 @ SV10 )
| ~ ( on @ SY31 @ SV12 ) ) )
= $true )
| ( ( consecutive @ SV1 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(227,plain,
! [SV2: $i,SV13: $i,SV11: $i,SV15: $i] :
( ( ( on @ SV15 @ SV11 )
= $true )
| ( ( ( on @ SV15 @ SV13 )
| ( same_day @ SV11 @ SV13 )
| ( same_person @ SV2 @ SV15 ) )
= $true )
| ( ( on @ SV2 @ SV13 )
= $true )
| ( ( on @ SV2 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(228,plain,
! [SV6: $i] :
( ( ( on @ c @ SV6 )
= $false )
| ( ( on @ b @ SV6 )
= $false )
| ( ( on @ a @ SV6 )
= $false )
| ( ( all_on @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(229,plain,
! [SV10: $i,SV1: $i,SV12: $i] :
( ( ( ! [SY30: $i] :
~ ( consecutive @ SV12 @ SY30 ) )
= $true )
| ( ( ! [SY31: $i] :
( ~ ( on @ SY31 @ SV1 )
| ~ ( on @ SY31 @ SV10 )
| ~ ( on @ SY31 @ SV12 ) ) )
= $true )
| ( ( consecutive @ SV10 @ SV12 )
= $false )
| ( ( consecutive @ SV1 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(230,plain,
! [SV2: $i,SV11: $i,SV13: $i,SV15: $i] :
( ( ( on @ SV15 @ SV13 )
= $true )
| ( ( ( same_day @ SV11 @ SV13 )
| ( same_person @ SV2 @ SV15 ) )
= $true )
| ( ( on @ SV15 @ SV11 )
= $true )
| ( ( on @ SV2 @ SV13 )
= $true )
| ( ( on @ SV2 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(231,plain,
! [SV10: $i,SV1: $i,SV16: $i,SV12: $i] :
( ( ( ~ ( consecutive @ SV12 @ SV16 ) )
= $true )
| ( ( ! [SY31: $i] :
( ~ ( on @ SY31 @ SV1 )
| ~ ( on @ SY31 @ SV10 )
| ~ ( on @ SY31 @ SV12 ) ) )
= $true )
| ( ( consecutive @ SV10 @ SV12 )
= $false )
| ( ( consecutive @ SV1 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(232,plain,
! [SV15: $i,SV2: $i,SV13: $i,SV11: $i] :
( ( ( same_day @ SV11 @ SV13 )
= $true )
| ( ( same_person @ SV2 @ SV15 )
= $true )
| ( ( on @ SV15 @ SV13 )
= $true )
| ( ( on @ SV15 @ SV11 )
= $true )
| ( ( on @ SV2 @ SV13 )
= $true )
| ( ( on @ SV2 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(233,plain,
! [SV10: $i,SV1: $i,SV16: $i,SV12: $i] :
( ( ( consecutive @ SV12 @ SV16 )
= $false )
| ( ( ! [SY31: $i] :
( ~ ( on @ SY31 @ SV1 )
| ~ ( on @ SY31 @ SV10 )
| ~ ( on @ SY31 @ SV12 ) ) )
= $true )
| ( ( consecutive @ SV10 @ SV12 )
= $false )
| ( ( consecutive @ SV1 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(234,plain,
! [SV16: $i,SV12: $i,SV10: $i,SV1: $i,SV17: $i] :
( ( ( ~ ( on @ SV17 @ SV1 )
| ~ ( on @ SV17 @ SV10 )
| ~ ( on @ SV17 @ SV12 ) )
= $true )
| ( ( consecutive @ SV12 @ SV16 )
= $false )
| ( ( consecutive @ SV10 @ SV12 )
= $false )
| ( ( consecutive @ SV1 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(235,plain,
! [SV16: $i,SV12: $i,SV10: $i,SV1: $i,SV17: $i] :
( ( ( ~ ( on @ SV17 @ SV1 ) )
= $true )
| ( ( ~ ( on @ SV17 @ SV10 )
| ~ ( on @ SV17 @ SV12 ) )
= $true )
| ( ( consecutive @ SV12 @ SV16 )
= $false )
| ( ( consecutive @ SV10 @ SV12 )
= $false )
| ( ( consecutive @ SV1 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(236,plain,
! [SV16: $i,SV12: $i,SV10: $i,SV1: $i,SV17: $i] :
( ( ( on @ SV17 @ SV1 )
= $false )
| ( ( ~ ( on @ SV17 @ SV10 )
| ~ ( on @ SV17 @ SV12 ) )
= $true )
| ( ( consecutive @ SV12 @ SV16 )
= $false )
| ( ( consecutive @ SV10 @ SV12 )
= $false )
| ( ( consecutive @ SV1 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(237,plain,
! [SV16: $i,SV1: $i,SV12: $i,SV10: $i,SV17: $i] :
( ( ( ~ ( on @ SV17 @ SV10 ) )
= $true )
| ( ( ~ ( on @ SV17 @ SV12 ) )
= $true )
| ( ( on @ SV17 @ SV1 )
= $false )
| ( ( consecutive @ SV12 @ SV16 )
= $false )
| ( ( consecutive @ SV10 @ SV12 )
= $false )
| ( ( consecutive @ SV1 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(238,plain,
! [SV16: $i,SV1: $i,SV12: $i,SV10: $i,SV17: $i] :
( ( ( on @ SV17 @ SV10 )
= $false )
| ( ( ~ ( on @ SV17 @ SV12 ) )
= $true )
| ( ( on @ SV17 @ SV1 )
= $false )
| ( ( consecutive @ SV12 @ SV16 )
= $false )
| ( ( consecutive @ SV10 @ SV12 )
= $false )
| ( ( consecutive @ SV1 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(239,plain,
! [SV16: $i,SV1: $i,SV10: $i,SV12: $i,SV17: $i] :
( ( ( on @ SV17 @ SV12 )
= $false )
| ( ( on @ SV17 @ SV10 )
= $false )
| ( ( on @ SV17 @ SV1 )
= $false )
| ( ( consecutive @ SV12 @ SV16 )
= $false )
| ( ( consecutive @ SV10 @ SV12 )
= $false )
| ( ( consecutive @ SV1 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(240,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[119,239,232,228,225,221,208,207,206,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,162,161,160,159,158,157,153,125,124,123,122,121,120]) ).
thf(241,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ018-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n025.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 : 600
% 0.14/0.34 % DateTime : Sun May 29 00:37:41 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.36
% 0.21/0.36 No.of.Axioms: 48
% 0.21/0.36
% 0.21/0.36 Length.of.Defs: 0
% 0.21/0.36
% 0.21/0.36 Contains.Choice.Funs: false
% 0.21/0.37 (rf:0,axioms:48,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:50,loop_count:0,foatp_calls:0,translation:fof_full)........
% 0.21/0.46
% 0.21/0.46 ********************************
% 0.21/0.46 * All subproblems solved! *
% 0.21/0.46 ********************************
% 0.21/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:48,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:240,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.48
% 0.21/0.48 %**** Beginning of derivation protocol ****
% 0.21/0.48 % SZS output start CNFRefutation
% See solution above
% 0.21/0.48
% 0.21/0.48 %**** End of derivation protocol ****
% 0.21/0.48 %**** no. of clauses in derivation: 241 ****
% 0.21/0.48 %**** clause counter: 240 ****
% 0.21/0.48
% 0.21/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:48,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:240,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------