TSTP Solution File: PUZ078+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : PUZ078+1 : TPTP v5.0.0. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 00:56:20 EST 2010
% Result : Theorem 4.83s
% Output : CNFRefutation 4.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 20
% Syntax : Number of formulae : 229 ( 53 unt; 0 def)
% Number of atoms : 755 ( 406 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 728 ( 202 ~; 461 |; 51 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-1 aty)
% Number of variables : 82 ( 1 sgn 34 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
consecutive(monday) = tuesday,
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',tuesday_follows_monday) ).
fof(2,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('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',uniquenames) ).
fof(4,axiom,
! [X1] :
( day1(X1)
<=> day2(consecutive(X1)) ),
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',day2_follows_day1) ).
fof(5,axiom,
consecutive(sunday) = monday,
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',monday_follows_sunday) ).
fof(7,axiom,
consecutive(friday) = saturday,
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',saturday_follows_friday) ).
fof(9,axiom,
! [X1] :
( X1 = monday
| X1 = tuesday
| X1 = wednesday
| X1 = thursday
| X1 = friday
| X1 = saturday
| X1 = sunday ),
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',days_of_week) ).
fof(10,axiom,
? [X1] : day3(X1),
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',day3_once) ).
fof(11,conjecture,
truthday(tuesday),
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',tuesday_leo_tells_truths) ).
fof(12,axiom,
consecutive(thursday) = friday,
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',friday_follows_thursday) ).
fof(13,axiom,
! [X1] :
( day3(X1)
=> ( truthday(X1)
<=> ( ~ truthday(wednesday)
& ~ truthday(friday) ) ) ),
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',statement3) ).
fof(14,axiom,
! [X1] :
( day2(X1)
=> ( truthday(X1)
<=> ( day2(thursday)
| day2(saturday)
| day2(sunday) ) ) ),
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',statement2) ).
fof(15,axiom,
! [X1] :
( day1(X1)
=> ( truthday(X1)
<=> ( ~ truthday(monday)
& ~ truthday(tuesday) ) ) ),
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',statement1) ).
fof(16,axiom,
consecutive(wednesday) = thursday,
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',thursday_follows_wednesday) ).
fof(17,axiom,
! [X1,X2] :
( ( truthday(X1)
& truthday(X2) )
=> X1 = X2 ),
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',truth_unique) ).
fof(18,axiom,
? [X1] : truthday(X1),
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',truth_once) ).
fof(19,axiom,
consecutive(saturday) = sunday,
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',sunday_follows_saturday) ).
fof(20,axiom,
! [X1] :
( day2(X1)
<=> day3(consecutive(X1)) ),
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',day3_follows_day2) ).
fof(21,axiom,
? [X1] : day2(X1),
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',day2_once) ).
fof(22,axiom,
! [X1,X2] :
( ( day3(X1)
& day3(X2) )
=> X1 = X2 ),
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',day3_unique) ).
fof(23,axiom,
? [X1] : day1(X1),
file('/tmp/tmpR5n5FJ/sel_PUZ078+1.p_1',day1_once) ).
fof(24,negated_conjecture,
~ truthday(tuesday),
inference(assume_negation,[status(cth)],[11]) ).
fof(25,negated_conjecture,
~ truthday(tuesday),
inference(fof_simplification,[status(thm)],[24,theory(equality)]) ).
fof(26,plain,
! [X1] :
( day3(X1)
=> ( truthday(X1)
<=> ( ~ truthday(wednesday)
& ~ truthday(friday) ) ) ),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(27,plain,
! [X1] :
( day1(X1)
=> ( truthday(X1)
<=> ( ~ truthday(monday)
& ~ truthday(tuesday) ) ) ),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
cnf(28,plain,
consecutive(monday) = tuesday,
inference(split_conjunct,[status(thm)],[1]) ).
cnf(31,plain,
friday != saturday,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(33,plain,
thursday != saturday,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(34,plain,
thursday != friday,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(38,plain,
wednesday != thursday,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(44,plain,
monday != sunday,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(45,plain,
monday != saturday,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(46,plain,
monday != friday,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(47,plain,
monday != thursday,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(48,plain,
monday != wednesday,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(49,plain,
monday != tuesday,
inference(split_conjunct,[status(thm)],[2]) ).
fof(51,plain,
! [X1] :
( ( ~ day1(X1)
| day2(consecutive(X1)) )
& ( ~ day2(consecutive(X1))
| day1(X1) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(52,plain,
! [X2] :
( ( ~ day1(X2)
| day2(consecutive(X2)) )
& ( ~ day2(consecutive(X2))
| day1(X2) ) ),
inference(variable_rename,[status(thm)],[51]) ).
cnf(54,plain,
( day2(consecutive(X1))
| ~ day1(X1) ),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(55,plain,
consecutive(sunday) = monday,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(59,plain,
consecutive(friday) = saturday,
inference(split_conjunct,[status(thm)],[7]) ).
fof(63,plain,
! [X2] :
( X2 = monday
| X2 = tuesday
| X2 = wednesday
| X2 = thursday
| X2 = friday
| X2 = saturday
| X2 = sunday ),
inference(variable_rename,[status(thm)],[9]) ).
cnf(64,plain,
( X1 = sunday
| X1 = saturday
| X1 = friday
| X1 = thursday
| X1 = wednesday
| X1 = tuesday
| X1 = monday ),
inference(split_conjunct,[status(thm)],[63]) ).
fof(65,plain,
? [X2] : day3(X2),
inference(variable_rename,[status(thm)],[10]) ).
fof(66,plain,
day3(esk1_0),
inference(skolemize,[status(esa)],[65]) ).
cnf(67,plain,
day3(esk1_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(68,negated_conjecture,
~ truthday(tuesday),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(69,plain,
consecutive(thursday) = friday,
inference(split_conjunct,[status(thm)],[12]) ).
fof(70,plain,
! [X1] :
( ~ day3(X1)
| ( ( ~ truthday(X1)
| ( ~ truthday(wednesday)
& ~ truthday(friday) ) )
& ( truthday(wednesday)
| truthday(friday)
| truthday(X1) ) ) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(71,plain,
! [X2] :
( ~ day3(X2)
| ( ( ~ truthday(X2)
| ( ~ truthday(wednesday)
& ~ truthday(friday) ) )
& ( truthday(wednesday)
| truthday(friday)
| truthday(X2) ) ) ),
inference(variable_rename,[status(thm)],[70]) ).
fof(72,plain,
! [X2] :
( ( ~ truthday(wednesday)
| ~ truthday(X2)
| ~ day3(X2) )
& ( ~ truthday(friday)
| ~ truthday(X2)
| ~ day3(X2) )
& ( truthday(wednesday)
| truthday(friday)
| truthday(X2)
| ~ day3(X2) ) ),
inference(distribute,[status(thm)],[71]) ).
cnf(73,plain,
( truthday(X1)
| truthday(friday)
| truthday(wednesday)
| ~ day3(X1) ),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(74,plain,
( ~ day3(X1)
| ~ truthday(X1)
| ~ truthday(friday) ),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(75,plain,
( ~ day3(X1)
| ~ truthday(X1)
| ~ truthday(wednesday) ),
inference(split_conjunct,[status(thm)],[72]) ).
fof(76,plain,
! [X1] :
( ~ day2(X1)
| ( ( ~ truthday(X1)
| day2(thursday)
| day2(saturday)
| day2(sunday) )
& ( ( ~ day2(thursday)
& ~ day2(saturday)
& ~ day2(sunday) )
| truthday(X1) ) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(77,plain,
! [X2] :
( ~ day2(X2)
| ( ( ~ truthday(X2)
| day2(thursday)
| day2(saturday)
| day2(sunday) )
& ( ( ~ day2(thursday)
& ~ day2(saturday)
& ~ day2(sunday) )
| truthday(X2) ) ) ),
inference(variable_rename,[status(thm)],[76]) ).
fof(78,plain,
! [X2] :
( ( ~ truthday(X2)
| day2(thursday)
| day2(saturday)
| day2(sunday)
| ~ day2(X2) )
& ( ~ day2(thursday)
| truthday(X2)
| ~ day2(X2) )
& ( ~ day2(saturday)
| truthday(X2)
| ~ day2(X2) )
& ( ~ day2(sunday)
| truthday(X2)
| ~ day2(X2) ) ),
inference(distribute,[status(thm)],[77]) ).
cnf(79,plain,
( truthday(X1)
| ~ day2(X1)
| ~ day2(sunday) ),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(80,plain,
( truthday(X1)
| ~ day2(X1)
| ~ day2(saturday) ),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(81,plain,
( truthday(X1)
| ~ day2(X1)
| ~ day2(thursday) ),
inference(split_conjunct,[status(thm)],[78]) ).
fof(83,plain,
! [X1] :
( ~ day1(X1)
| ( ( ~ truthday(X1)
| ( ~ truthday(monday)
& ~ truthday(tuesday) ) )
& ( truthday(monday)
| truthday(tuesday)
| truthday(X1) ) ) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(84,plain,
! [X2] :
( ~ day1(X2)
| ( ( ~ truthday(X2)
| ( ~ truthday(monday)
& ~ truthday(tuesday) ) )
& ( truthday(monday)
| truthday(tuesday)
| truthday(X2) ) ) ),
inference(variable_rename,[status(thm)],[83]) ).
fof(85,plain,
! [X2] :
( ( ~ truthday(monday)
| ~ truthday(X2)
| ~ day1(X2) )
& ( ~ truthday(tuesday)
| ~ truthday(X2)
| ~ day1(X2) )
& ( truthday(monday)
| truthday(tuesday)
| truthday(X2)
| ~ day1(X2) ) ),
inference(distribute,[status(thm)],[84]) ).
cnf(86,plain,
( truthday(X1)
| truthday(tuesday)
| truthday(monday)
| ~ day1(X1) ),
inference(split_conjunct,[status(thm)],[85]) ).
cnf(88,plain,
( ~ day1(X1)
| ~ truthday(X1)
| ~ truthday(monday) ),
inference(split_conjunct,[status(thm)],[85]) ).
cnf(89,plain,
consecutive(wednesday) = thursday,
inference(split_conjunct,[status(thm)],[16]) ).
fof(90,plain,
! [X1,X2] :
( ~ truthday(X1)
| ~ truthday(X2)
| X1 = X2 ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(91,plain,
! [X3,X4] :
( ~ truthday(X3)
| ~ truthday(X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[90]) ).
cnf(92,plain,
( X1 = X2
| ~ truthday(X2)
| ~ truthday(X1) ),
inference(split_conjunct,[status(thm)],[91]) ).
fof(93,plain,
? [X2] : truthday(X2),
inference(variable_rename,[status(thm)],[18]) ).
fof(94,plain,
truthday(esk2_0),
inference(skolemize,[status(esa)],[93]) ).
cnf(95,plain,
truthday(esk2_0),
inference(split_conjunct,[status(thm)],[94]) ).
cnf(96,plain,
consecutive(saturday) = sunday,
inference(split_conjunct,[status(thm)],[19]) ).
fof(97,plain,
! [X1] :
( ( ~ day2(X1)
| day3(consecutive(X1)) )
& ( ~ day3(consecutive(X1))
| day2(X1) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(98,plain,
! [X2] :
( ( ~ day2(X2)
| day3(consecutive(X2)) )
& ( ~ day3(consecutive(X2))
| day2(X2) ) ),
inference(variable_rename,[status(thm)],[97]) ).
cnf(99,plain,
( day2(X1)
| ~ day3(consecutive(X1)) ),
inference(split_conjunct,[status(thm)],[98]) ).
cnf(100,plain,
( day3(consecutive(X1))
| ~ day2(X1) ),
inference(split_conjunct,[status(thm)],[98]) ).
fof(101,plain,
? [X2] : day2(X2),
inference(variable_rename,[status(thm)],[21]) ).
fof(102,plain,
day2(esk3_0),
inference(skolemize,[status(esa)],[101]) ).
cnf(103,plain,
day2(esk3_0),
inference(split_conjunct,[status(thm)],[102]) ).
fof(104,plain,
! [X1,X2] :
( ~ day3(X1)
| ~ day3(X2)
| X1 = X2 ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(105,plain,
! [X3,X4] :
( ~ day3(X3)
| ~ day3(X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[104]) ).
cnf(106,plain,
( X1 = X2
| ~ day3(X2)
| ~ day3(X1) ),
inference(split_conjunct,[status(thm)],[105]) ).
fof(107,plain,
? [X2] : day1(X2),
inference(variable_rename,[status(thm)],[23]) ).
fof(108,plain,
day1(esk4_0),
inference(skolemize,[status(esa)],[107]) ).
cnf(109,plain,
day1(esk4_0),
inference(split_conjunct,[status(thm)],[108]) ).
cnf(110,plain,
( X1 = esk2_0
| ~ truthday(X1) ),
inference(spm,[status(thm)],[92,95,theory(equality)]) ).
cnf(111,plain,
( truthday(X1)
| truthday(monday)
| ~ day1(X1) ),
inference(sr,[status(thm)],[86,68,theory(equality)]) ).
cnf(112,plain,
( truthday(monday)
| truthday(esk4_0) ),
inference(spm,[status(thm)],[111,109,theory(equality)]) ).
cnf(194,plain,
( ~ truthday(monday)
| ~ truthday(esk4_0) ),
inference(spm,[status(thm)],[88,109,theory(equality)]) ).
cnf(195,plain,
( ~ truthday(wednesday)
| ~ truthday(esk1_0) ),
inference(spm,[status(thm)],[75,67,theory(equality)]) ).
cnf(196,plain,
( ~ truthday(friday)
| ~ truthday(esk1_0) ),
inference(spm,[status(thm)],[74,67,theory(equality)]) ).
cnf(197,plain,
( truthday(friday)
| truthday(wednesday)
| truthday(esk1_0) ),
inference(spm,[status(thm)],[73,67,theory(equality)]) ).
cnf(200,plain,
( day2(thursday)
| ~ day1(wednesday) ),
inference(spm,[status(thm)],[54,89,theory(equality)]) ).
cnf(201,plain,
( day2(friday)
| ~ day1(thursday) ),
inference(spm,[status(thm)],[54,69,theory(equality)]) ).
cnf(202,plain,
( day2(saturday)
| ~ day1(friday) ),
inference(spm,[status(thm)],[54,59,theory(equality)]) ).
cnf(204,plain,
( day2(monday)
| ~ day1(sunday) ),
inference(spm,[status(thm)],[54,55,theory(equality)]) ).
cnf(209,plain,
( X1 = esk1_0
| ~ day3(X1) ),
inference(spm,[status(thm)],[106,67,theory(equality)]) ).
cnf(210,plain,
( day3(tuesday)
| ~ day2(monday) ),
inference(spm,[status(thm)],[100,28,theory(equality)]) ).
cnf(214,plain,
( day3(saturday)
| ~ day2(friday) ),
inference(spm,[status(thm)],[100,59,theory(equality)]) ).
cnf(217,plain,
( day3(monday)
| sunday = consecutive(X1)
| saturday = consecutive(X1)
| friday = consecutive(X1)
| thursday = consecutive(X1)
| wednesday = consecutive(X1)
| tuesday = consecutive(X1)
| ~ day2(X1) ),
inference(spm,[status(thm)],[100,64,theory(equality)]) ).
cnf(220,plain,
( truthday(friday)
| truthday(wednesday)
| truthday(consecutive(X1))
| ~ day2(X1) ),
inference(spm,[status(thm)],[73,100,theory(equality)]) ).
cnf(237,plain,
( day2(sunday)
| ~ day3(monday) ),
inference(spm,[status(thm)],[99,55,theory(equality)]) ).
cnf(242,plain,
( X1 = esk4_0
| truthday(monday)
| ~ truthday(X1) ),
inference(spm,[status(thm)],[92,112,theory(equality)]) ).
cnf(244,plain,
( esk4_0 = esk2_0
| truthday(monday) ),
inference(spm,[status(thm)],[110,112,theory(equality)]) ).
cnf(245,plain,
( X1 = monday
| esk2_0 = esk4_0
| ~ truthday(X1) ),
inference(spm,[status(thm)],[92,244,theory(equality)]) ).
cnf(248,plain,
( monday = esk2_0
| esk2_0 = esk4_0 ),
inference(spm,[status(thm)],[110,244,theory(equality)]) ).
cnf(261,plain,
( esk1_0 = esk2_0
| truthday(wednesday)
| truthday(friday) ),
inference(spm,[status(thm)],[110,197,theory(equality)]) ).
cnf(264,plain,
( esk2_0 = monday
| esk4_0 != monday ),
inference(ef,[status(thm)],[248,theory(equality)]) ).
cnf(265,plain,
( truthday(esk4_0)
| esk2_0 = monday ),
inference(spm,[status(thm)],[95,248,theory(equality)]) ).
cnf(274,plain,
( X1 = esk4_0
| esk2_0 = monday
| ~ truthday(X1) ),
inference(spm,[status(thm)],[92,265,theory(equality)]) ).
cnf(282,plain,
( X1 = friday
| esk2_0 = esk1_0
| truthday(wednesday)
| ~ truthday(X1) ),
inference(spm,[status(thm)],[92,261,theory(equality)]) ).
cnf(283,plain,
( friday = esk2_0
| esk2_0 = esk1_0
| truthday(wednesday) ),
inference(spm,[status(thm)],[110,261,theory(equality)]) ).
cnf(284,plain,
( esk2_0 = esk4_0
| friday = monday
| esk2_0 = esk1_0
| truthday(wednesday) ),
inference(spm,[status(thm)],[245,261,theory(equality)]) ).
cnf(285,plain,
( esk2_0 = esk4_0
| esk2_0 = esk1_0
| truthday(wednesday) ),
inference(sr,[status(thm)],[284,46,theory(equality)]) ).
cnf(286,plain,
( truthday(monday)
| esk4_0 != monday ),
inference(spm,[status(thm)],[95,264,theory(equality)]) ).
cnf(299,plain,
( esk2_0 = monday
| esk1_0 = esk4_0
| truthday(wednesday)
| truthday(friday) ),
inference(spm,[status(thm)],[274,197,theory(equality)]) ).
cnf(304,plain,
( wednesday = esk2_0
| esk2_0 = esk1_0
| esk2_0 = friday ),
inference(spm,[status(thm)],[110,283,theory(equality)]) ).
cnf(319,plain,
( friday = esk4_0
| truthday(monday)
| esk2_0 = esk1_0
| truthday(wednesday) ),
inference(spm,[status(thm)],[242,261,theory(equality)]) ).
cnf(324,plain,
( esk2_0 = esk4_0
| wednesday = monday
| esk2_0 = esk1_0 ),
inference(spm,[status(thm)],[245,285,theory(equality)]) ).
cnf(328,plain,
( esk2_0 = esk4_0
| esk2_0 = esk1_0 ),
inference(sr,[status(thm)],[324,48,theory(equality)]) ).
cnf(330,plain,
( esk2_0 = esk4_0
| esk1_0 != esk4_0 ),
inference(ef,[status(thm)],[328,theory(equality)]) ).
cnf(331,plain,
( truthday(esk1_0)
| esk2_0 = esk4_0 ),
inference(spm,[status(thm)],[95,328,theory(equality)]) ).
cnf(337,plain,
( esk2_0 = esk4_0
| ~ truthday(wednesday) ),
inference(spm,[status(thm)],[195,331,theory(equality)]) ).
cnf(338,plain,
( esk2_0 = esk4_0
| ~ truthday(friday) ),
inference(spm,[status(thm)],[196,331,theory(equality)]) ).
cnf(339,plain,
( esk2_0 = esk4_0
| esk1_0 = monday ),
inference(spm,[status(thm)],[245,331,theory(equality)]) ).
cnf(343,plain,
( truthday(esk4_0)
| esk1_0 = monday ),
inference(spm,[status(thm)],[95,339,theory(equality)]) ).
cnf(350,plain,
( esk1_0 = monday
| ~ truthday(monday) ),
inference(spm,[status(thm)],[194,343,theory(equality)]) ).
cnf(356,plain,
( esk1_0 = monday
| esk4_0 != monday ),
inference(spm,[status(thm)],[350,286,theory(equality)]) ).
cnf(363,plain,
( truthday(esk4_0)
| esk1_0 != esk4_0 ),
inference(spm,[status(thm)],[95,330,theory(equality)]) ).
cnf(368,plain,
( ~ truthday(monday)
| esk1_0 != esk4_0 ),
inference(spm,[status(thm)],[194,363,theory(equality)]) ).
cnf(380,plain,
( esk1_0 != esk4_0
| esk4_0 != monday ),
inference(spm,[status(thm)],[368,286,theory(equality)]) ).
cnf(429,plain,
monday != esk4_0,
inference(spm,[status(thm)],[380,356,theory(equality)]) ).
cnf(485,plain,
( esk2_0 = friday
| esk2_0 = wednesday
| esk1_0 != friday ),
inference(ef,[status(thm)],[304,theory(equality)]) ).
cnf(486,plain,
( esk2_0 = friday
| esk2_0 = wednesday
| esk1_0 != wednesday ),
inference(ef,[status(thm)],[304,theory(equality)]) ).
cnf(487,plain,
( truthday(esk1_0)
| esk2_0 = friday
| esk2_0 = wednesday ),
inference(spm,[status(thm)],[95,304,theory(equality)]) ).
cnf(493,plain,
( esk2_0 = wednesday
| esk2_0 = friday
| truthday(monday)
| sunday = esk1_0
| saturday = esk1_0
| friday = esk1_0
| thursday = esk1_0
| wednesday = esk1_0
| tuesday = esk1_0 ),
inference(spm,[status(thm)],[487,64,theory(equality)]) ).
cnf(1461,plain,
( esk2_0 = monday
| friday = esk4_0
| esk1_0 = esk4_0
| truthday(wednesday) ),
inference(spm,[status(thm)],[274,299,theory(equality)]) ).
cnf(1750,plain,
( tuesday = esk1_0
| ~ day2(monday) ),
inference(spm,[status(thm)],[209,210,theory(equality)]) ).
cnf(1755,plain,
( saturday = esk1_0
| ~ day2(friday) ),
inference(spm,[status(thm)],[209,214,theory(equality)]) ).
cnf(1792,plain,
( consecutive(consecutive(X1)) = tuesday
| consecutive(consecutive(X1)) = wednesday
| consecutive(consecutive(X1)) = thursday
| consecutive(consecutive(X1)) = friday
| consecutive(consecutive(X1)) = saturday
| consecutive(consecutive(X1)) = sunday
| day3(monday)
| ~ day1(X1) ),
inference(spm,[status(thm)],[217,54,theory(equality)]) ).
cnf(1857,plain,
( esk2_0 = esk4_0
| consecutive(X1) = monday
| truthday(wednesday)
| truthday(friday)
| ~ day2(X1) ),
inference(spm,[status(thm)],[245,220,theory(equality)]) ).
cnf(3336,plain,
( esk2_0 = esk1_0
| monday = friday
| truthday(wednesday)
| esk4_0 = friday ),
inference(spm,[status(thm)],[282,319,theory(equality)]) ).
cnf(3355,plain,
( esk2_0 = esk1_0
| truthday(wednesday)
| esk4_0 = friday ),
inference(sr,[status(thm)],[3336,46,theory(equality)]) ).
cnf(3362,plain,
( X1 = wednesday
| esk4_0 = friday
| esk2_0 = esk1_0
| ~ truthday(X1) ),
inference(spm,[status(thm)],[92,3355,theory(equality)]) ).
cnf(3367,plain,
( wednesday = esk4_0
| truthday(monday)
| esk4_0 = friday
| esk2_0 = esk1_0 ),
inference(spm,[status(thm)],[242,3355,theory(equality)]) ).
cnf(4761,plain,
( esk2_0 = monday
| wednesday = esk4_0
| esk1_0 = esk4_0
| esk4_0 = friday ),
inference(spm,[status(thm)],[274,1461,theory(equality)]) ).
cnf(4885,plain,
( esk2_0 = esk1_0
| esk4_0 = friday
| monday = wednesday
| esk4_0 = wednesday ),
inference(spm,[status(thm)],[3362,3367,theory(equality)]) ).
cnf(4936,plain,
( esk2_0 = esk1_0
| esk4_0 = friday
| esk4_0 = wednesday ),
inference(sr,[status(thm)],[4885,48,theory(equality)]) ).
cnf(4945,plain,
( truthday(esk1_0)
| esk4_0 = wednesday
| esk4_0 = friday ),
inference(spm,[status(thm)],[95,4936,theory(equality)]) ).
cnf(6450,plain,
( esk2_0 = wednesday
| esk2_0 = friday
| esk1_0 = sunday
| esk1_0 = saturday
| esk1_0 = friday
| esk1_0 = thursday
| esk1_0 = tuesday
| truthday(monday) ),
inference(csr,[status(thm)],[493,486]) ).
cnf(6451,plain,
( esk2_0 = wednesday
| esk2_0 = friday
| esk1_0 = sunday
| esk1_0 = saturday
| esk1_0 = tuesday
| esk1_0 = thursday
| truthday(monday) ),
inference(csr,[status(thm)],[6450,485]) ).
cnf(30038,plain,
( consecutive(sunday) = sunday
| consecutive(sunday) = saturday
| consecutive(sunday) = friday
| consecutive(sunday) = thursday
| consecutive(sunday) = wednesday
| consecutive(sunday) = tuesday
| day3(monday)
| ~ day1(saturday) ),
inference(spm,[status(thm)],[1792,96,theory(equality)]) ).
cnf(30142,plain,
( monday = sunday
| consecutive(sunday) = saturday
| consecutive(sunday) = friday
| consecutive(sunday) = thursday
| consecutive(sunday) = wednesday
| consecutive(sunday) = tuesday
| day3(monday)
| ~ day1(saturday) ),
inference(rw,[status(thm)],[30038,55,theory(equality)]) ).
cnf(30143,plain,
( monday = sunday
| monday = saturday
| consecutive(sunday) = friday
| consecutive(sunday) = thursday
| consecutive(sunday) = wednesday
| consecutive(sunday) = tuesday
| day3(monday)
| ~ day1(saturday) ),
inference(rw,[status(thm)],[30142,55,theory(equality)]) ).
cnf(30144,plain,
( monday = sunday
| monday = saturday
| monday = friday
| consecutive(sunday) = thursday
| consecutive(sunday) = wednesday
| consecutive(sunday) = tuesday
| day3(monday)
| ~ day1(saturday) ),
inference(rw,[status(thm)],[30143,55,theory(equality)]) ).
cnf(30145,plain,
( monday = sunday
| monday = saturday
| monday = friday
| monday = thursday
| consecutive(sunday) = wednesday
| consecutive(sunday) = tuesday
| day3(monday)
| ~ day1(saturday) ),
inference(rw,[status(thm)],[30144,55,theory(equality)]) ).
cnf(30146,plain,
( monday = sunday
| monday = saturday
| monday = friday
| monday = thursday
| monday = wednesday
| consecutive(sunday) = tuesday
| day3(monday)
| ~ day1(saturday) ),
inference(rw,[status(thm)],[30145,55,theory(equality)]) ).
cnf(30147,plain,
( monday = sunday
| monday = saturday
| monday = friday
| monday = thursday
| monday = wednesday
| monday = tuesday
| day3(monday)
| ~ day1(saturday) ),
inference(rw,[status(thm)],[30146,55,theory(equality)]) ).
cnf(30148,plain,
( monday = saturday
| monday = friday
| monday = thursday
| monday = wednesday
| monday = tuesday
| day3(monday)
| ~ day1(saturday) ),
inference(sr,[status(thm)],[30147,44,theory(equality)]) ).
cnf(30149,plain,
( monday = friday
| monday = thursday
| monday = wednesday
| monday = tuesday
| day3(monday)
| ~ day1(saturday) ),
inference(sr,[status(thm)],[30148,45,theory(equality)]) ).
cnf(30150,plain,
( monday = thursday
| monday = wednesday
| monday = tuesday
| day3(monday)
| ~ day1(saturday) ),
inference(sr,[status(thm)],[30149,46,theory(equality)]) ).
cnf(30151,plain,
( monday = wednesday
| monday = tuesday
| day3(monday)
| ~ day1(saturday) ),
inference(sr,[status(thm)],[30150,47,theory(equality)]) ).
cnf(30152,plain,
( monday = tuesday
| day3(monday)
| ~ day1(saturday) ),
inference(sr,[status(thm)],[30151,48,theory(equality)]) ).
cnf(30153,plain,
( day3(monday)
| ~ day1(saturday) ),
inference(sr,[status(thm)],[30152,49,theory(equality)]) ).
cnf(30378,plain,
( X1 = monday
| ~ day3(X1)
| ~ day1(saturday) ),
inference(spm,[status(thm)],[106,30153,theory(equality)]) ).
cnf(31175,plain,
( consecutive(X1) = monday
| esk2_0 = esk4_0
| truthday(wednesday)
| ~ day2(X1) ),
inference(csr,[status(thm)],[1857,338]) ).
cnf(31176,plain,
( consecutive(X1) = monday
| esk2_0 = esk4_0
| ~ day2(X1) ),
inference(csr,[status(thm)],[31175,337]) ).
cnf(31185,plain,
( day3(monday)
| esk2_0 = esk4_0
| ~ day2(X1) ),
inference(spm,[status(thm)],[100,31176,theory(equality)]) ).
cnf(31897,plain,
( esk2_0 = esk4_0
| day3(monday) ),
inference(spm,[status(thm)],[31185,103,theory(equality)]) ).
cnf(31937,plain,
( day2(sunday)
| esk2_0 = esk4_0 ),
inference(spm,[status(thm)],[237,31897,theory(equality)]) ).
cnf(32065,plain,
( truthday(X1)
| esk2_0 = esk4_0
| ~ day2(X1) ),
inference(spm,[status(thm)],[79,31937,theory(equality)]) ).
cnf(33495,plain,
( esk2_0 = esk4_0
| truthday(sunday) ),
inference(spm,[status(thm)],[32065,31937,theory(equality)]) ).
cnf(33653,plain,
( esk2_0 = esk4_0
| sunday = monday ),
inference(spm,[status(thm)],[245,33495,theory(equality)]) ).
cnf(33722,plain,
esk2_0 = esk4_0,
inference(sr,[status(thm)],[33653,44,theory(equality)]) ).
cnf(33812,plain,
truthday(esk4_0),
inference(rw,[status(thm)],[95,33722,theory(equality)]) ).
cnf(33885,plain,
( esk4_0 = friday
| esk1_0 = esk4_0
| esk4_0 = wednesday
| esk4_0 = monday ),
inference(rw,[status(thm)],[4761,33722,theory(equality)]) ).
cnf(33886,plain,
( esk4_0 = friday
| esk1_0 = esk4_0
| esk4_0 = wednesday ),
inference(sr,[status(thm)],[33885,429,theory(equality)]) ).
cnf(33887,plain,
( esk1_0 = tuesday
| esk1_0 = thursday
| esk1_0 = saturday
| esk1_0 = sunday
| esk4_0 = friday
| esk2_0 = wednesday
| truthday(monday) ),
inference(rw,[status(thm)],[6451,33722,theory(equality)]) ).
cnf(33888,plain,
( esk1_0 = tuesday
| esk1_0 = thursday
| esk1_0 = saturday
| esk1_0 = sunday
| esk4_0 = friday
| esk4_0 = wednesday
| truthday(monday) ),
inference(rw,[status(thm)],[33887,33722,theory(equality)]) ).
cnf(33993,plain,
( esk4_0 = monday
| X1 = esk4_0
| ~ truthday(X1) ),
inference(rw,[status(thm)],[274,33722,theory(equality)]) ).
cnf(33994,plain,
( X1 = esk4_0
| ~ truthday(X1) ),
inference(sr,[status(thm)],[33993,429,theory(equality)]) ).
cnf(34054,plain,
( ~ truthday(monday)
| $false ),
inference(rw,[status(thm)],[194,33812,theory(equality)]) ).
cnf(34055,plain,
~ truthday(monday),
inference(cn,[status(thm)],[34054,theory(equality)]) ).
cnf(34400,plain,
( day3(esk4_0)
| esk4_0 = wednesday
| esk4_0 = friday ),
inference(spm,[status(thm)],[67,33886,theory(equality)]) ).
cnf(35529,plain,
( esk4_0 = monday
| esk4_0 = friday
| esk4_0 = wednesday
| ~ day1(saturday) ),
inference(spm,[status(thm)],[30378,34400,theory(equality)]) ).
cnf(35556,plain,
( esk4_0 = friday
| esk4_0 = wednesday
| ~ day1(saturday) ),
inference(sr,[status(thm)],[35529,429,theory(equality)]) ).
cnf(35732,plain,
( esk1_0 = tuesday
| esk1_0 = thursday
| esk1_0 = saturday
| esk1_0 = sunday
| esk4_0 = friday
| esk4_0 = wednesday ),
inference(sr,[status(thm)],[33888,34055,theory(equality)]) ).
cnf(35744,plain,
( esk4_0 = friday
| esk4_0 = wednesday
| truthday(sunday)
| esk1_0 = saturday
| esk1_0 = thursday
| esk1_0 = tuesday ),
inference(spm,[status(thm)],[4945,35732,theory(equality)]) ).
cnf(41533,plain,
( sunday = esk4_0
| esk1_0 = tuesday
| esk1_0 = thursday
| esk1_0 = saturday
| esk4_0 = wednesday
| esk4_0 = friday ),
inference(spm,[status(thm)],[33994,35744,theory(equality)]) ).
cnf(42129,plain,
( esk4_0 = friday
| esk4_0 = wednesday
| truthday(saturday)
| esk1_0 = thursday
| esk1_0 = tuesday
| esk4_0 = sunday ),
inference(spm,[status(thm)],[4945,41533,theory(equality)]) ).
cnf(42175,plain,
( saturday = esk4_0
| esk4_0 = sunday
| esk1_0 = tuesday
| esk1_0 = thursday
| esk4_0 = wednesday
| esk4_0 = friday ),
inference(spm,[status(thm)],[33994,42129,theory(equality)]) ).
cnf(43170,plain,
( esk4_0 = friday
| esk4_0 = wednesday
| truthday(thursday)
| esk1_0 = tuesday
| esk4_0 = sunday
| esk4_0 = saturday ),
inference(spm,[status(thm)],[4945,42175,theory(equality)]) ).
cnf(43558,plain,
( thursday = esk4_0
| esk4_0 = saturday
| esk4_0 = sunday
| esk1_0 = tuesday
| esk4_0 = wednesday
| esk4_0 = friday ),
inference(spm,[status(thm)],[33994,43170,theory(equality)]) ).
cnf(43605,plain,
( esk4_0 = friday
| esk4_0 = wednesday
| truthday(tuesday)
| esk4_0 = sunday
| esk4_0 = saturday
| esk4_0 = thursday ),
inference(spm,[status(thm)],[4945,43558,theory(equality)]) ).
cnf(43633,plain,
( esk4_0 = friday
| esk4_0 = wednesday
| esk4_0 = sunday
| esk4_0 = saturday
| esk4_0 = thursday ),
inference(sr,[status(thm)],[43605,68,theory(equality)]) ).
cnf(43641,plain,
( day1(sunday)
| esk4_0 = thursday
| esk4_0 = saturday
| esk4_0 = wednesday
| esk4_0 = friday ),
inference(spm,[status(thm)],[109,43633,theory(equality)]) ).
cnf(46669,plain,
( day2(monday)
| esk4_0 = friday
| esk4_0 = wednesday
| esk4_0 = saturday
| esk4_0 = thursday ),
inference(spm,[status(thm)],[204,43641,theory(equality)]) ).
cnf(46897,plain,
( esk1_0 = tuesday
| esk4_0 = thursday
| esk4_0 = saturday
| esk4_0 = wednesday
| esk4_0 = friday ),
inference(spm,[status(thm)],[1750,46669,theory(equality)]) ).
cnf(47163,plain,
( esk4_0 = friday
| esk4_0 = wednesday
| truthday(tuesday)
| esk4_0 = saturday
| esk4_0 = thursday ),
inference(spm,[status(thm)],[4945,46897,theory(equality)]) ).
cnf(47186,plain,
( esk4_0 = friday
| esk4_0 = wednesday
| esk4_0 = saturday
| esk4_0 = thursday ),
inference(sr,[status(thm)],[47163,68,theory(equality)]) ).
cnf(47193,plain,
( day1(saturday)
| esk4_0 = thursday
| esk4_0 = wednesday
| esk4_0 = friday ),
inference(spm,[status(thm)],[109,47186,theory(equality)]) ).
cnf(47582,plain,
( esk4_0 = friday
| esk4_0 = wednesday
| esk4_0 = thursday ),
inference(csr,[status(thm)],[47193,35556]) ).
cnf(47585,plain,
( day1(friday)
| esk4_0 = wednesday
| esk4_0 = thursday ),
inference(spm,[status(thm)],[109,47582,theory(equality)]) ).
cnf(47587,plain,
( truthday(friday)
| esk4_0 = wednesday
| esk4_0 = thursday ),
inference(spm,[status(thm)],[33812,47582,theory(equality)]) ).
cnf(47607,plain,
( X1 = friday
| esk4_0 = thursday
| esk4_0 = wednesday
| ~ truthday(X1) ),
inference(spm,[status(thm)],[92,47587,theory(equality)]) ).
cnf(47824,plain,
( day2(saturday)
| esk4_0 = thursday
| esk4_0 = wednesday ),
inference(spm,[status(thm)],[202,47585,theory(equality)]) ).
cnf(47954,plain,
( truthday(X1)
| esk4_0 = wednesday
| esk4_0 = thursday
| ~ day2(X1) ),
inference(spm,[status(thm)],[80,47824,theory(equality)]) ).
cnf(48250,plain,
( esk4_0 = thursday
| esk4_0 = wednesday
| truthday(saturday) ),
inference(spm,[status(thm)],[47954,47824,theory(equality)]) ).
cnf(48403,plain,
( esk4_0 = wednesday
| esk4_0 = thursday
| saturday = friday ),
inference(spm,[status(thm)],[47607,48250,theory(equality)]) ).
cnf(48414,plain,
( esk4_0 = wednesday
| esk4_0 = thursday ),
inference(sr,[status(thm)],[48403,31,theory(equality)]) ).
cnf(48416,plain,
( day1(thursday)
| esk4_0 = wednesday ),
inference(spm,[status(thm)],[109,48414,theory(equality)]) ).
cnf(48431,plain,
( thursday = friday
| thursday = wednesday
| day3(thursday)
| esk4_0 = wednesday ),
inference(spm,[status(thm)],[34400,48414,theory(equality)]) ).
cnf(48444,plain,
( thursday = wednesday
| day3(thursday)
| esk4_0 = wednesday ),
inference(sr,[status(thm)],[48431,34,theory(equality)]) ).
cnf(48445,plain,
( day3(thursday)
| esk4_0 = wednesday ),
inference(sr,[status(thm)],[48444,38,theory(equality)]) ).
cnf(48479,plain,
( day2(friday)
| esk4_0 = wednesday ),
inference(spm,[status(thm)],[201,48416,theory(equality)]) ).
cnf(48737,plain,
( esk1_0 = saturday
| esk4_0 = wednesday ),
inference(spm,[status(thm)],[1755,48479,theory(equality)]) ).
cnf(48879,plain,
( thursday = esk1_0
| esk4_0 = wednesday ),
inference(spm,[status(thm)],[209,48445,theory(equality)]) ).
cnf(49090,plain,
( esk4_0 = wednesday
| thursday = saturday ),
inference(spm,[status(thm)],[48737,48879,theory(equality)]) ).
cnf(49094,plain,
esk4_0 = wednesday,
inference(sr,[status(thm)],[49090,33,theory(equality)]) ).
cnf(49100,plain,
day1(wednesday),
inference(rw,[status(thm)],[109,49094,theory(equality)]) ).
cnf(49270,plain,
( X1 = wednesday
| ~ truthday(X1) ),
inference(rw,[status(thm)],[33994,49094,theory(equality)]) ).
cnf(49671,plain,
( day2(thursday)
| $false ),
inference(rw,[status(thm)],[200,49100,theory(equality)]) ).
cnf(49672,plain,
day2(thursday),
inference(cn,[status(thm)],[49671,theory(equality)]) ).
cnf(49762,plain,
( truthday(X1)
| $false
| ~ day2(X1) ),
inference(rw,[status(thm)],[81,49672,theory(equality)]) ).
cnf(49763,plain,
( truthday(X1)
| ~ day2(X1) ),
inference(cn,[status(thm)],[49762,theory(equality)]) ).
cnf(50123,plain,
truthday(thursday),
inference(spm,[status(thm)],[49763,49672,theory(equality)]) ).
cnf(50126,plain,
thursday = wednesday,
inference(spm,[status(thm)],[49270,50123,theory(equality)]) ).
cnf(50132,plain,
$false,
inference(sr,[status(thm)],[50126,38,theory(equality)]) ).
cnf(50133,plain,
$false,
50132,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/PUZ/PUZ078+1.p
% --creating new selector for []
% -running prover on /tmp/tmpR5n5FJ/sel_PUZ078+1.p_1 with time limit 29
% -prover status Theorem
% Problem PUZ078+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/PUZ/PUZ078+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/PUZ/PUZ078+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------