TSTP Solution File: CSR001+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR001+2 : TPTP v5.0.0. Bugfixed v3.1.0.
% 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 : Sat Dec 25 05:50:07 EST 2010
% Result : Theorem 287.51s
% Output : CNFRefutation 287.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 60
% Syntax : Number of formulae : 551 ( 79 unt; 0 def)
% Number of atoms : 2147 ( 636 equ)
% Maximal formula atoms : 194 ( 3 avg)
% Number of connectives : 2589 ( 993 ~;1294 |; 250 &)
% ( 37 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 50 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 23 prp; 0-4 aty)
% Number of functors : 22 ( 22 usr; 10 con; 0-3 aty)
% Number of variables : 917 ( 78 sgn 325 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
tapOff != overflow,
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',tapOff_not_overflow) ).
fof(2,axiom,
! [X1,X2,X3] :
( ( happens(X1,X2)
& releases(X1,X3,X2) )
=> releasedAt(X3,plus(X2,n1)) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',happens_releases) ).
fof(3,axiom,
! [X4] : filling != waterLevel(X4),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',filling_not_waterLevel) ).
fof(5,axiom,
! [X1,X2,X3,X5,X6] :
( ( happens(X1,X2)
& initiates(X1,X3,X2)
& less(n0,X6)
& trajectory(X3,X2,X5,X6)
& ~ stoppedIn(X2,X3,plus(X2,X6)) )
=> holdsAt(X5,plus(X2,X6)) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',change_holding) ).
fof(6,axiom,
! [X3,X2] :
( ( ~ releasedAt(X3,X2)
& ~ ? [X1] :
( happens(X1,X2)
& releases(X1,X3,X2) ) )
=> ~ releasedAt(X3,plus(X2,n1)) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',keep_not_released) ).
fof(7,axiom,
! [X1,X2,X3] :
( ( happens(X1,X2)
& initiates(X1,X3,X2) )
=> holdsAt(X3,plus(X2,n1)) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',happens_holds) ).
fof(8,axiom,
! [X1,X2] :
( happens(X1,X2)
<=> ( ( X1 = tapOn
& X2 = n0 )
| ( holdsAt(waterLevel(n3),X2)
& holdsAt(filling,X2)
& X1 = overflow ) ) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',happens_all_defn) ).
fof(10,axiom,
! [X7,X8,X3] :
( startedIn(X7,X3,X8)
<=> ? [X1,X2] :
( happens(X1,X2)
& less(X7,X2)
& less(X2,X8)
& initiates(X1,X3,X2) ) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',startedin_defn) ).
fof(11,axiom,
! [X1,X3,X2] :
( terminates(X1,X3,X2)
<=> ( ( X1 = tapOff
& X3 = filling )
| ( X1 = overflow
& X3 = filling ) ) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',terminates_all_defn) ).
fof(13,axiom,
! [X3,X2] :
( ( holdsAt(X3,X2)
& ~ releasedAt(X3,plus(X2,n1))
& ~ ? [X1] :
( happens(X1,X2)
& terminates(X1,X3,X2) ) )
=> holdsAt(X3,plus(X2,n1)) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',keep_holding) ).
fof(14,axiom,
! [X3,X2] :
( ( releasedAt(X3,X2)
& ~ ? [X1] :
( happens(X1,X2)
& ( initiates(X1,X3,X2)
| terminates(X1,X3,X2) ) ) )
=> releasedAt(X3,plus(X2,n1)) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',keep_released) ).
fof(15,axiom,
! [X1,X2,X3] :
( ( happens(X1,X2)
& ( initiates(X1,X3,X2)
| terminates(X1,X3,X2) ) )
=> ~ releasedAt(X3,plus(X2,n1)) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',happens_not_released) ).
fof(16,axiom,
overflow != tapOn,
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',overflow_not_tapOn) ).
fof(18,axiom,
! [X1,X3,X2] :
( releases(X1,X3,X2)
<=> ? [X10] :
( X1 = tapOn
& X3 = waterLevel(X10) ) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',releases_all_defn) ).
fof(20,axiom,
! [X7,X3,X8] :
( stoppedIn(X7,X3,X8)
<=> ? [X1,X2] :
( happens(X1,X2)
& less(X7,X2)
& less(X2,X8)
& terminates(X1,X3,X2) ) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',stoppedin_defn) ).
fof(21,axiom,
! [X1,X2,X3] :
( ( happens(X1,X2)
& terminates(X1,X3,X2) )
=> ~ holdsAt(X3,plus(X2,n1)) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',happens_terminates_not_holds) ).
fof(22,axiom,
! [X1,X3,X2] :
( initiates(X1,X3,X2)
<=> ( ( X1 = tapOn
& X3 = filling )
| ( X1 = overflow
& X3 = spilling )
| ? [X10] :
( holdsAt(waterLevel(X10),X2)
& X1 = tapOff
& X3 = waterLevel(X10) )
| ? [X10] :
( holdsAt(waterLevel(X10),X2)
& X1 = overflow
& X3 = waterLevel(X10) ) ) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',initiates_all_defn) ).
fof(23,axiom,
! [X12,X2,X13,X6] :
( ( holdsAt(waterLevel(X12),X2)
& X13 = plus(X12,X6) )
=> trajectory(filling,X2,waterLevel(X13),X6) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',change_of_waterLevel) ).
fof(24,axiom,
tapOff != tapOn,
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',tapOff_not_tapOn) ).
fof(25,axiom,
! [X2,X12,X13] :
( ( holdsAt(waterLevel(X12),X2)
& holdsAt(waterLevel(X13),X2) )
=> X12 = X13 ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',same_waterLevel) ).
fof(26,axiom,
plus(n1,n3) = n4,
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',plus1_3) ).
fof(27,axiom,
plus(n1,n2) = n3,
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',plus1_2) ).
fof(28,axiom,
plus(n1,n1) = n2,
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',plus1_1) ).
fof(32,axiom,
plus(n0,n1) = n1,
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',plus0_1) ).
fof(33,axiom,
holdsAt(waterLevel(n0),n0),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',waterLevel_0) ).
fof(34,axiom,
holdsAt(waterLevel(n3),n3),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',waterLevel_3) ).
fof(38,conjecture,
holdsAt(waterLevel(n3),n4),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',waterLevel_4) ).
fof(41,axiom,
! [X4,X9] :
( less(X4,X9)
<=> ( ~ less(X9,X4)
& X9 != X4 ) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',less_property) ).
fof(42,axiom,
~ releasedAt(filling,n0),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',not_released_filling_0) ).
fof(43,axiom,
! [X4,X9] : plus(X4,X9) = plus(X9,X4),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',symmetry_of_plus) ).
fof(44,axiom,
! [X10] : ~ releasedAt(waterLevel(X10),n0),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',not_released_waterLevel_0) ).
fof(45,axiom,
! [X4,X9] :
( less_or_equal(X4,X9)
<=> ( less(X4,X9)
| X4 = X9 ) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',less_or_equal) ).
fof(49,axiom,
! [X4] :
( less(X4,n4)
<=> less_or_equal(X4,n3) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',less4) ).
fof(53,axiom,
~ ? [X4] : less(X4,n0),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',less0) ).
fof(54,axiom,
! [X4] :
( less(X4,n1)
<=> less_or_equal(X4,n0) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',less1) ).
fof(55,axiom,
! [X4] :
( less(X4,n2)
<=> less_or_equal(X4,n1) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',less2) ).
fof(56,axiom,
! [X4] :
( less(X4,n3)
<=> less_or_equal(X4,n2) ),
file('/tmp/tmpWzizpW/sel_CSR001+2.p_5',less3) ).
fof(57,negated_conjecture,
~ holdsAt(waterLevel(n3),n4),
inference(assume_negation,[status(cth)],[38]) ).
fof(58,plain,
! [X1,X2,X3,X5,X6] :
( ( happens(X1,X2)
& initiates(X1,X3,X2)
& less(n0,X6)
& trajectory(X3,X2,X5,X6)
& ~ stoppedIn(X2,X3,plus(X2,X6)) )
=> holdsAt(X5,plus(X2,X6)) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(59,plain,
! [X3,X2] :
( ( ~ releasedAt(X3,X2)
& ~ ? [X1] :
( happens(X1,X2)
& releases(X1,X3,X2) ) )
=> ~ releasedAt(X3,plus(X2,n1)) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(61,plain,
! [X3,X2] :
( ( holdsAt(X3,X2)
& ~ releasedAt(X3,plus(X2,n1))
& ~ ? [X1] :
( happens(X1,X2)
& terminates(X1,X3,X2) ) )
=> holdsAt(X3,plus(X2,n1)) ),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(62,plain,
! [X1,X2,X3] :
( ( happens(X1,X2)
& ( initiates(X1,X3,X2)
| terminates(X1,X3,X2) ) )
=> ~ releasedAt(X3,plus(X2,n1)) ),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
fof(64,plain,
! [X1,X2,X3] :
( ( happens(X1,X2)
& terminates(X1,X3,X2) )
=> ~ holdsAt(X3,plus(X2,n1)) ),
inference(fof_simplification,[status(thm)],[21,theory(equality)]) ).
fof(65,negated_conjecture,
~ holdsAt(waterLevel(n3),n4),
inference(fof_simplification,[status(thm)],[57,theory(equality)]) ).
fof(68,plain,
! [X4,X9] :
( less(X4,X9)
<=> ( ~ less(X9,X4)
& X9 != X4 ) ),
inference(fof_simplification,[status(thm)],[41,theory(equality)]) ).
fof(69,plain,
~ releasedAt(filling,n0),
inference(fof_simplification,[status(thm)],[42,theory(equality)]) ).
fof(70,plain,
! [X10] : ~ releasedAt(waterLevel(X10),n0),
inference(fof_simplification,[status(thm)],[44,theory(equality)]) ).
fof(72,plain,
! [X1,X2,X3] :
( epred1_3(X3,X2,X1)
<=> ( ( X1 = tapOn
& X3 = filling )
| ( X1 = overflow
& X3 = spilling )
| ? [X10] :
( holdsAt(waterLevel(X10),X2)
& X1 = tapOff
& X3 = waterLevel(X10) )
| ? [X10] :
( holdsAt(waterLevel(X10),X2)
& X1 = overflow
& X3 = waterLevel(X10) ) ) ),
introduced(definition) ).
fof(73,plain,
! [X1,X3,X2] :
( initiates(X1,X3,X2)
<=> epred1_3(X3,X2,X1) ),
inference(apply_def,[status(esa)],[22,72,theory(equality)]) ).
cnf(74,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[1]) ).
fof(75,plain,
! [X1,X2,X3] :
( ~ happens(X1,X2)
| ~ releases(X1,X3,X2)
| releasedAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(76,plain,
! [X4,X5,X6] :
( ~ happens(X4,X5)
| ~ releases(X4,X6,X5)
| releasedAt(X6,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[75]) ).
cnf(77,plain,
( releasedAt(X1,plus(X2,n1))
| ~ releases(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[76]) ).
fof(78,plain,
! [X5] : filling != waterLevel(X5),
inference(variable_rename,[status(thm)],[3]) ).
cnf(79,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[78]) ).
fof(82,plain,
! [X1,X2,X3,X5,X6] :
( ~ happens(X1,X2)
| ~ initiates(X1,X3,X2)
| ~ less(n0,X6)
| ~ trajectory(X3,X2,X5,X6)
| stoppedIn(X2,X3,plus(X2,X6))
| holdsAt(X5,plus(X2,X6)) ),
inference(fof_nnf,[status(thm)],[58]) ).
fof(83,plain,
! [X7,X8,X9,X10,X11] :
( ~ happens(X7,X8)
| ~ initiates(X7,X9,X8)
| ~ less(n0,X11)
| ~ trajectory(X9,X8,X10,X11)
| stoppedIn(X8,X9,plus(X8,X11))
| holdsAt(X10,plus(X8,X11)) ),
inference(variable_rename,[status(thm)],[82]) ).
cnf(84,plain,
( holdsAt(X1,plus(X2,X3))
| stoppedIn(X2,X4,plus(X2,X3))
| ~ trajectory(X4,X2,X1,X3)
| ~ less(n0,X3)
| ~ initiates(X5,X4,X2)
| ~ happens(X5,X2) ),
inference(split_conjunct,[status(thm)],[83]) ).
fof(85,plain,
! [X3,X2] :
( releasedAt(X3,X2)
| ? [X1] :
( happens(X1,X2)
& releases(X1,X3,X2) )
| ~ releasedAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[59]) ).
fof(86,plain,
! [X4,X5] :
( releasedAt(X4,X5)
| ? [X6] :
( happens(X6,X5)
& releases(X6,X4,X5) )
| ~ releasedAt(X4,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[85]) ).
fof(87,plain,
! [X4,X5] :
( releasedAt(X4,X5)
| ( happens(esk1_2(X4,X5),X5)
& releases(esk1_2(X4,X5),X4,X5) )
| ~ releasedAt(X4,plus(X5,n1)) ),
inference(skolemize,[status(esa)],[86]) ).
fof(88,plain,
! [X4,X5] :
( ( happens(esk1_2(X4,X5),X5)
| releasedAt(X4,X5)
| ~ releasedAt(X4,plus(X5,n1)) )
& ( releases(esk1_2(X4,X5),X4,X5)
| releasedAt(X4,X5)
| ~ releasedAt(X4,plus(X5,n1)) ) ),
inference(distribute,[status(thm)],[87]) ).
cnf(89,plain,
( releasedAt(X1,X2)
| releases(esk1_2(X1,X2),X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(90,plain,
( releasedAt(X1,X2)
| happens(esk1_2(X1,X2),X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[88]) ).
fof(91,plain,
! [X1,X2,X3] :
( ~ happens(X1,X2)
| ~ initiates(X1,X3,X2)
| holdsAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(92,plain,
! [X4,X5,X6] :
( ~ happens(X4,X5)
| ~ initiates(X4,X6,X5)
| holdsAt(X6,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[91]) ).
cnf(93,plain,
( holdsAt(X1,plus(X2,n1))
| ~ initiates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[92]) ).
fof(94,plain,
! [X1,X2] :
( ( ~ happens(X1,X2)
| ( X1 = tapOn
& X2 = n0 )
| ( holdsAt(waterLevel(n3),X2)
& holdsAt(filling,X2)
& X1 = overflow ) )
& ( ( ( X1 != tapOn
| X2 != n0 )
& ( ~ holdsAt(waterLevel(n3),X2)
| ~ holdsAt(filling,X2)
| X1 != overflow ) )
| happens(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(95,plain,
! [X3,X4] :
( ( ~ happens(X3,X4)
| ( X3 = tapOn
& X4 = n0 )
| ( holdsAt(waterLevel(n3),X4)
& holdsAt(filling,X4)
& X3 = overflow ) )
& ( ( ( X3 != tapOn
| X4 != n0 )
& ( ~ holdsAt(waterLevel(n3),X4)
| ~ holdsAt(filling,X4)
| X3 != overflow ) )
| happens(X3,X4) ) ),
inference(variable_rename,[status(thm)],[94]) ).
fof(96,plain,
! [X3,X4] :
( ( holdsAt(waterLevel(n3),X4)
| X3 = tapOn
| ~ happens(X3,X4) )
& ( holdsAt(filling,X4)
| X3 = tapOn
| ~ happens(X3,X4) )
& ( X3 = overflow
| X3 = tapOn
| ~ happens(X3,X4) )
& ( holdsAt(waterLevel(n3),X4)
| X4 = n0
| ~ happens(X3,X4) )
& ( holdsAt(filling,X4)
| X4 = n0
| ~ happens(X3,X4) )
& ( X3 = overflow
| X4 = n0
| ~ happens(X3,X4) )
& ( X3 != tapOn
| X4 != n0
| happens(X3,X4) )
& ( ~ holdsAt(waterLevel(n3),X4)
| ~ holdsAt(filling,X4)
| X3 != overflow
| happens(X3,X4) ) ),
inference(distribute,[status(thm)],[95]) ).
cnf(97,plain,
( happens(X1,X2)
| X1 != overflow
| ~ holdsAt(filling,X2)
| ~ holdsAt(waterLevel(n3),X2) ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(98,plain,
( happens(X1,X2)
| X2 != n0
| X1 != tapOn ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(99,plain,
( X2 = n0
| X1 = overflow
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(100,plain,
( X2 = n0
| holdsAt(filling,X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(101,plain,
( X2 = n0
| holdsAt(waterLevel(n3),X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(102,plain,
( X1 = tapOn
| X1 = overflow
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(104,plain,
( X1 = tapOn
| holdsAt(waterLevel(n3),X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[96]) ).
fof(111,plain,
! [X7,X8,X3] :
( ( ~ startedIn(X7,X3,X8)
| ? [X1,X2] :
( happens(X1,X2)
& less(X7,X2)
& less(X2,X8)
& initiates(X1,X3,X2) ) )
& ( ! [X1,X2] :
( ~ happens(X1,X2)
| ~ less(X7,X2)
| ~ less(X2,X8)
| ~ initiates(X1,X3,X2) )
| startedIn(X7,X3,X8) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(112,plain,
! [X9,X10,X11] :
( ( ~ startedIn(X9,X11,X10)
| ? [X12,X13] :
( happens(X12,X13)
& less(X9,X13)
& less(X13,X10)
& initiates(X12,X11,X13) ) )
& ( ! [X14,X15] :
( ~ happens(X14,X15)
| ~ less(X9,X15)
| ~ less(X15,X10)
| ~ initiates(X14,X11,X15) )
| startedIn(X9,X11,X10) ) ),
inference(variable_rename,[status(thm)],[111]) ).
fof(113,plain,
! [X9,X10,X11] :
( ( ~ startedIn(X9,X11,X10)
| ( happens(esk3_3(X9,X10,X11),esk4_3(X9,X10,X11))
& less(X9,esk4_3(X9,X10,X11))
& less(esk4_3(X9,X10,X11),X10)
& initiates(esk3_3(X9,X10,X11),X11,esk4_3(X9,X10,X11)) ) )
& ( ! [X14,X15] :
( ~ happens(X14,X15)
| ~ less(X9,X15)
| ~ less(X15,X10)
| ~ initiates(X14,X11,X15) )
| startedIn(X9,X11,X10) ) ),
inference(skolemize,[status(esa)],[112]) ).
fof(114,plain,
! [X9,X10,X11,X14,X15] :
( ( ~ happens(X14,X15)
| ~ less(X9,X15)
| ~ less(X15,X10)
| ~ initiates(X14,X11,X15)
| startedIn(X9,X11,X10) )
& ( ~ startedIn(X9,X11,X10)
| ( happens(esk3_3(X9,X10,X11),esk4_3(X9,X10,X11))
& less(X9,esk4_3(X9,X10,X11))
& less(esk4_3(X9,X10,X11),X10)
& initiates(esk3_3(X9,X10,X11),X11,esk4_3(X9,X10,X11)) ) ) ),
inference(shift_quantors,[status(thm)],[113]) ).
fof(115,plain,
! [X9,X10,X11,X14,X15] :
( ( ~ happens(X14,X15)
| ~ less(X9,X15)
| ~ less(X15,X10)
| ~ initiates(X14,X11,X15)
| startedIn(X9,X11,X10) )
& ( happens(esk3_3(X9,X10,X11),esk4_3(X9,X10,X11))
| ~ startedIn(X9,X11,X10) )
& ( less(X9,esk4_3(X9,X10,X11))
| ~ startedIn(X9,X11,X10) )
& ( less(esk4_3(X9,X10,X11),X10)
| ~ startedIn(X9,X11,X10) )
& ( initiates(esk3_3(X9,X10,X11),X11,esk4_3(X9,X10,X11))
| ~ startedIn(X9,X11,X10) ) ),
inference(distribute,[status(thm)],[114]) ).
cnf(116,plain,
( initiates(esk3_3(X1,X3,X2),X2,esk4_3(X1,X3,X2))
| ~ startedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[115]) ).
cnf(118,plain,
( less(X1,esk4_3(X1,X3,X2))
| ~ startedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[115]) ).
cnf(119,plain,
( happens(esk3_3(X1,X3,X2),esk4_3(X1,X3,X2))
| ~ startedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[115]) ).
cnf(120,plain,
( startedIn(X1,X2,X3)
| ~ initiates(X4,X2,X5)
| ~ less(X5,X3)
| ~ less(X1,X5)
| ~ happens(X4,X5) ),
inference(split_conjunct,[status(thm)],[115]) ).
fof(121,plain,
! [X1,X3,X2] :
( ( ~ terminates(X1,X3,X2)
| ( X1 = tapOff
& X3 = filling )
| ( X1 = overflow
& X3 = filling ) )
& ( ( ( X1 != tapOff
| X3 != filling )
& ( X1 != overflow
| X3 != filling ) )
| terminates(X1,X3,X2) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(122,plain,
! [X4,X5,X6] :
( ( ~ terminates(X4,X5,X6)
| ( X4 = tapOff
& X5 = filling )
| ( X4 = overflow
& X5 = filling ) )
& ( ( ( X4 != tapOff
| X5 != filling )
& ( X4 != overflow
| X5 != filling ) )
| terminates(X4,X5,X6) ) ),
inference(variable_rename,[status(thm)],[121]) ).
fof(123,plain,
! [X4,X5,X6] :
( ( X4 = overflow
| X4 = tapOff
| ~ terminates(X4,X5,X6) )
& ( X5 = filling
| X4 = tapOff
| ~ terminates(X4,X5,X6) )
& ( X4 = overflow
| X5 = filling
| ~ terminates(X4,X5,X6) )
& ( X5 = filling
| X5 = filling
| ~ terminates(X4,X5,X6) )
& ( X4 != tapOff
| X5 != filling
| terminates(X4,X5,X6) )
& ( X4 != overflow
| X5 != filling
| terminates(X4,X5,X6) ) ),
inference(distribute,[status(thm)],[122]) ).
cnf(124,plain,
( terminates(X1,X2,X3)
| X2 != filling
| X1 != overflow ),
inference(split_conjunct,[status(thm)],[123]) ).
cnf(126,plain,
( X2 = filling
| X2 = filling
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[123]) ).
cnf(129,plain,
( X1 = tapOff
| X1 = overflow
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[123]) ).
fof(134,plain,
! [X3,X2] :
( ~ holdsAt(X3,X2)
| releasedAt(X3,plus(X2,n1))
| ? [X1] :
( happens(X1,X2)
& terminates(X1,X3,X2) )
| holdsAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(135,plain,
! [X4,X5] :
( ~ holdsAt(X4,X5)
| releasedAt(X4,plus(X5,n1))
| ? [X6] :
( happens(X6,X5)
& terminates(X6,X4,X5) )
| holdsAt(X4,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[134]) ).
fof(136,plain,
! [X4,X5] :
( ~ holdsAt(X4,X5)
| releasedAt(X4,plus(X5,n1))
| ( happens(esk5_2(X4,X5),X5)
& terminates(esk5_2(X4,X5),X4,X5) )
| holdsAt(X4,plus(X5,n1)) ),
inference(skolemize,[status(esa)],[135]) ).
fof(137,plain,
! [X4,X5] :
( ( happens(esk5_2(X4,X5),X5)
| ~ holdsAt(X4,X5)
| releasedAt(X4,plus(X5,n1))
| holdsAt(X4,plus(X5,n1)) )
& ( terminates(esk5_2(X4,X5),X4,X5)
| ~ holdsAt(X4,X5)
| releasedAt(X4,plus(X5,n1))
| holdsAt(X4,plus(X5,n1)) ) ),
inference(distribute,[status(thm)],[136]) ).
cnf(138,plain,
( holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| terminates(esk5_2(X1,X2),X1,X2)
| ~ holdsAt(X1,X2) ),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(139,plain,
( holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| happens(esk5_2(X1,X2),X2)
| ~ holdsAt(X1,X2) ),
inference(split_conjunct,[status(thm)],[137]) ).
fof(140,plain,
! [X3,X2] :
( ~ releasedAt(X3,X2)
| ? [X1] :
( happens(X1,X2)
& ( initiates(X1,X3,X2)
| terminates(X1,X3,X2) ) )
| releasedAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(141,plain,
! [X4,X5] :
( ~ releasedAt(X4,X5)
| ? [X6] :
( happens(X6,X5)
& ( initiates(X6,X4,X5)
| terminates(X6,X4,X5) ) )
| releasedAt(X4,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[140]) ).
fof(142,plain,
! [X4,X5] :
( ~ releasedAt(X4,X5)
| ( happens(esk6_2(X4,X5),X5)
& ( initiates(esk6_2(X4,X5),X4,X5)
| terminates(esk6_2(X4,X5),X4,X5) ) )
| releasedAt(X4,plus(X5,n1)) ),
inference(skolemize,[status(esa)],[141]) ).
fof(143,plain,
! [X4,X5] :
( ( happens(esk6_2(X4,X5),X5)
| ~ releasedAt(X4,X5)
| releasedAt(X4,plus(X5,n1)) )
& ( initiates(esk6_2(X4,X5),X4,X5)
| terminates(esk6_2(X4,X5),X4,X5)
| ~ releasedAt(X4,X5)
| releasedAt(X4,plus(X5,n1)) ) ),
inference(distribute,[status(thm)],[142]) ).
cnf(145,plain,
( releasedAt(X1,plus(X2,n1))
| happens(esk6_2(X1,X2),X2)
| ~ releasedAt(X1,X2) ),
inference(split_conjunct,[status(thm)],[143]) ).
fof(146,plain,
! [X1,X2,X3] :
( ~ happens(X1,X2)
| ( ~ initiates(X1,X3,X2)
& ~ terminates(X1,X3,X2) )
| ~ releasedAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[62]) ).
fof(147,plain,
! [X4,X5,X6] :
( ~ happens(X4,X5)
| ( ~ initiates(X4,X6,X5)
& ~ terminates(X4,X6,X5) )
| ~ releasedAt(X6,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[146]) ).
fof(148,plain,
! [X4,X5,X6] :
( ( ~ initiates(X4,X6,X5)
| ~ happens(X4,X5)
| ~ releasedAt(X6,plus(X5,n1)) )
& ( ~ terminates(X4,X6,X5)
| ~ happens(X4,X5)
| ~ releasedAt(X6,plus(X5,n1)) ) ),
inference(distribute,[status(thm)],[147]) ).
cnf(149,plain,
( ~ releasedAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| ~ terminates(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[148]) ).
cnf(150,plain,
( ~ releasedAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| ~ initiates(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[148]) ).
cnf(151,plain,
overflow != tapOn,
inference(split_conjunct,[status(thm)],[16]) ).
fof(153,plain,
! [X1,X3,X2] :
( ( ~ releases(X1,X3,X2)
| ? [X10] :
( X1 = tapOn
& X3 = waterLevel(X10) ) )
& ( ! [X10] :
( X1 != tapOn
| X3 != waterLevel(X10) )
| releases(X1,X3,X2) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(154,plain,
! [X11,X12,X13] :
( ( ~ releases(X11,X12,X13)
| ? [X14] :
( X11 = tapOn
& X12 = waterLevel(X14) ) )
& ( ! [X15] :
( X11 != tapOn
| X12 != waterLevel(X15) )
| releases(X11,X12,X13) ) ),
inference(variable_rename,[status(thm)],[153]) ).
fof(155,plain,
! [X11,X12,X13] :
( ( ~ releases(X11,X12,X13)
| ( X11 = tapOn
& X12 = waterLevel(esk7_3(X11,X12,X13)) ) )
& ( ! [X15] :
( X11 != tapOn
| X12 != waterLevel(X15) )
| releases(X11,X12,X13) ) ),
inference(skolemize,[status(esa)],[154]) ).
fof(156,plain,
! [X11,X12,X13,X15] :
( ( X11 != tapOn
| X12 != waterLevel(X15)
| releases(X11,X12,X13) )
& ( ~ releases(X11,X12,X13)
| ( X11 = tapOn
& X12 = waterLevel(esk7_3(X11,X12,X13)) ) ) ),
inference(shift_quantors,[status(thm)],[155]) ).
fof(157,plain,
! [X11,X12,X13,X15] :
( ( X11 != tapOn
| X12 != waterLevel(X15)
| releases(X11,X12,X13) )
& ( X11 = tapOn
| ~ releases(X11,X12,X13) )
& ( X12 = waterLevel(esk7_3(X11,X12,X13))
| ~ releases(X11,X12,X13) ) ),
inference(distribute,[status(thm)],[156]) ).
cnf(158,plain,
( X2 = waterLevel(esk7_3(X1,X2,X3))
| ~ releases(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[157]) ).
cnf(159,plain,
( X1 = tapOn
| ~ releases(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[157]) ).
cnf(160,plain,
( releases(X1,X2,X3)
| X2 != waterLevel(X4)
| X1 != tapOn ),
inference(split_conjunct,[status(thm)],[157]) ).
fof(164,plain,
! [X7,X3,X8] :
( ( ~ stoppedIn(X7,X3,X8)
| ? [X1,X2] :
( happens(X1,X2)
& less(X7,X2)
& less(X2,X8)
& terminates(X1,X3,X2) ) )
& ( ! [X1,X2] :
( ~ happens(X1,X2)
| ~ less(X7,X2)
| ~ less(X2,X8)
| ~ terminates(X1,X3,X2) )
| stoppedIn(X7,X3,X8) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(165,plain,
! [X9,X10,X11] :
( ( ~ stoppedIn(X9,X10,X11)
| ? [X12,X13] :
( happens(X12,X13)
& less(X9,X13)
& less(X13,X11)
& terminates(X12,X10,X13) ) )
& ( ! [X14,X15] :
( ~ happens(X14,X15)
| ~ less(X9,X15)
| ~ less(X15,X11)
| ~ terminates(X14,X10,X15) )
| stoppedIn(X9,X10,X11) ) ),
inference(variable_rename,[status(thm)],[164]) ).
fof(166,plain,
! [X9,X10,X11] :
( ( ~ stoppedIn(X9,X10,X11)
| ( happens(esk8_3(X9,X10,X11),esk9_3(X9,X10,X11))
& less(X9,esk9_3(X9,X10,X11))
& less(esk9_3(X9,X10,X11),X11)
& terminates(esk8_3(X9,X10,X11),X10,esk9_3(X9,X10,X11)) ) )
& ( ! [X14,X15] :
( ~ happens(X14,X15)
| ~ less(X9,X15)
| ~ less(X15,X11)
| ~ terminates(X14,X10,X15) )
| stoppedIn(X9,X10,X11) ) ),
inference(skolemize,[status(esa)],[165]) ).
fof(167,plain,
! [X9,X10,X11,X14,X15] :
( ( ~ happens(X14,X15)
| ~ less(X9,X15)
| ~ less(X15,X11)
| ~ terminates(X14,X10,X15)
| stoppedIn(X9,X10,X11) )
& ( ~ stoppedIn(X9,X10,X11)
| ( happens(esk8_3(X9,X10,X11),esk9_3(X9,X10,X11))
& less(X9,esk9_3(X9,X10,X11))
& less(esk9_3(X9,X10,X11),X11)
& terminates(esk8_3(X9,X10,X11),X10,esk9_3(X9,X10,X11)) ) ) ),
inference(shift_quantors,[status(thm)],[166]) ).
fof(168,plain,
! [X9,X10,X11,X14,X15] :
( ( ~ happens(X14,X15)
| ~ less(X9,X15)
| ~ less(X15,X11)
| ~ terminates(X14,X10,X15)
| stoppedIn(X9,X10,X11) )
& ( happens(esk8_3(X9,X10,X11),esk9_3(X9,X10,X11))
| ~ stoppedIn(X9,X10,X11) )
& ( less(X9,esk9_3(X9,X10,X11))
| ~ stoppedIn(X9,X10,X11) )
& ( less(esk9_3(X9,X10,X11),X11)
| ~ stoppedIn(X9,X10,X11) )
& ( terminates(esk8_3(X9,X10,X11),X10,esk9_3(X9,X10,X11))
| ~ stoppedIn(X9,X10,X11) ) ),
inference(distribute,[status(thm)],[167]) ).
cnf(169,plain,
( terminates(esk8_3(X1,X2,X3),X2,esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[168]) ).
cnf(170,plain,
( less(esk9_3(X1,X2,X3),X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[168]) ).
cnf(171,plain,
( less(X1,esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[168]) ).
cnf(172,plain,
( happens(esk8_3(X1,X2,X3),esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[168]) ).
cnf(173,plain,
( stoppedIn(X1,X2,X3)
| ~ terminates(X4,X2,X5)
| ~ less(X5,X3)
| ~ less(X1,X5)
| ~ happens(X4,X5) ),
inference(split_conjunct,[status(thm)],[168]) ).
fof(174,plain,
! [X1,X2,X3] :
( ~ happens(X1,X2)
| ~ terminates(X1,X3,X2)
| ~ holdsAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[64]) ).
fof(175,plain,
! [X4,X5,X6] :
( ~ happens(X4,X5)
| ~ terminates(X4,X6,X5)
| ~ holdsAt(X6,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[174]) ).
cnf(176,plain,
( ~ holdsAt(X1,plus(X2,n1))
| ~ terminates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[175]) ).
fof(177,plain,
! [X1,X3,X2] :
( ( ~ initiates(X1,X3,X2)
| epred1_3(X3,X2,X1) )
& ( ~ epred1_3(X3,X2,X1)
| initiates(X1,X3,X2) ) ),
inference(fof_nnf,[status(thm)],[73]) ).
fof(178,plain,
! [X4,X5,X6] :
( ( ~ initiates(X4,X5,X6)
| epred1_3(X5,X6,X4) )
& ( ~ epred1_3(X5,X6,X4)
| initiates(X4,X5,X6) ) ),
inference(variable_rename,[status(thm)],[177]) ).
cnf(179,plain,
( initiates(X1,X2,X3)
| ~ epred1_3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[178]) ).
fof(181,plain,
! [X12,X2,X13,X6] :
( ~ holdsAt(waterLevel(X12),X2)
| X13 != plus(X12,X6)
| trajectory(filling,X2,waterLevel(X13),X6) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(182,plain,
! [X14,X15,X16,X17] :
( ~ holdsAt(waterLevel(X14),X15)
| X16 != plus(X14,X17)
| trajectory(filling,X15,waterLevel(X16),X17) ),
inference(variable_rename,[status(thm)],[181]) ).
cnf(183,plain,
( trajectory(filling,X1,waterLevel(X2),X3)
| X2 != plus(X4,X3)
| ~ holdsAt(waterLevel(X4),X1) ),
inference(split_conjunct,[status(thm)],[182]) ).
cnf(184,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[24]) ).
fof(185,plain,
! [X2,X12,X13] :
( ~ holdsAt(waterLevel(X12),X2)
| ~ holdsAt(waterLevel(X13),X2)
| X12 = X13 ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(186,plain,
! [X14,X15,X16] :
( ~ holdsAt(waterLevel(X15),X14)
| ~ holdsAt(waterLevel(X16),X14)
| X15 = X16 ),
inference(variable_rename,[status(thm)],[185]) ).
cnf(187,plain,
( X1 = X2
| ~ holdsAt(waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X1),X3) ),
inference(split_conjunct,[status(thm)],[186]) ).
cnf(188,plain,
plus(n1,n3) = n4,
inference(split_conjunct,[status(thm)],[26]) ).
cnf(189,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[27]) ).
cnf(190,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[28]) ).
cnf(194,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[32]) ).
cnf(195,plain,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(196,plain,
holdsAt(waterLevel(n3),n3),
inference(split_conjunct,[status(thm)],[34]) ).
cnf(200,negated_conjecture,
~ holdsAt(waterLevel(n3),n4),
inference(split_conjunct,[status(thm)],[65]) ).
fof(203,plain,
! [X4,X9] :
( ( ~ less(X4,X9)
| ( ~ less(X9,X4)
& X9 != X4 ) )
& ( less(X9,X4)
| X9 = X4
| less(X4,X9) ) ),
inference(fof_nnf,[status(thm)],[68]) ).
fof(204,plain,
! [X10,X11] :
( ( ~ less(X10,X11)
| ( ~ less(X11,X10)
& X11 != X10 ) )
& ( less(X11,X10)
| X11 = X10
| less(X10,X11) ) ),
inference(variable_rename,[status(thm)],[203]) ).
fof(205,plain,
! [X10,X11] :
( ( ~ less(X11,X10)
| ~ less(X10,X11) )
& ( X11 != X10
| ~ less(X10,X11) )
& ( less(X11,X10)
| X11 = X10
| less(X10,X11) ) ),
inference(distribute,[status(thm)],[204]) ).
cnf(207,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[205]) ).
cnf(208,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[205]) ).
cnf(209,plain,
~ releasedAt(filling,n0),
inference(split_conjunct,[status(thm)],[69]) ).
fof(210,plain,
! [X10,X11] : plus(X10,X11) = plus(X11,X10),
inference(variable_rename,[status(thm)],[43]) ).
cnf(211,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[210]) ).
fof(212,plain,
! [X11] : ~ releasedAt(waterLevel(X11),n0),
inference(variable_rename,[status(thm)],[70]) ).
cnf(213,plain,
~ releasedAt(waterLevel(X1),n0),
inference(split_conjunct,[status(thm)],[212]) ).
fof(214,plain,
! [X4,X9] :
( ( ~ less_or_equal(X4,X9)
| less(X4,X9)
| X4 = X9 )
& ( ( ~ less(X4,X9)
& X4 != X9 )
| less_or_equal(X4,X9) ) ),
inference(fof_nnf,[status(thm)],[45]) ).
fof(215,plain,
! [X10,X11] :
( ( ~ less_or_equal(X10,X11)
| less(X10,X11)
| X10 = X11 )
& ( ( ~ less(X10,X11)
& X10 != X11 )
| less_or_equal(X10,X11) ) ),
inference(variable_rename,[status(thm)],[214]) ).
fof(216,plain,
! [X10,X11] :
( ( ~ less_or_equal(X10,X11)
| less(X10,X11)
| X10 = X11 )
& ( ~ less(X10,X11)
| less_or_equal(X10,X11) )
& ( X10 != X11
| less_or_equal(X10,X11) ) ),
inference(distribute,[status(thm)],[215]) ).
cnf(217,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(219,plain,
( X1 = X2
| less(X1,X2)
| ~ less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[216]) ).
fof(229,plain,
! [X4] :
( ( ~ less(X4,n4)
| less_or_equal(X4,n3) )
& ( ~ less_or_equal(X4,n3)
| less(X4,n4) ) ),
inference(fof_nnf,[status(thm)],[49]) ).
fof(230,plain,
! [X5] :
( ( ~ less(X5,n4)
| less_or_equal(X5,n3) )
& ( ~ less_or_equal(X5,n3)
| less(X5,n4) ) ),
inference(variable_rename,[status(thm)],[229]) ).
cnf(231,plain,
( less(X1,n4)
| ~ less_or_equal(X1,n3) ),
inference(split_conjunct,[status(thm)],[230]) ).
fof(245,plain,
! [X4] : ~ less(X4,n0),
inference(fof_nnf,[status(thm)],[53]) ).
fof(246,plain,
! [X5] : ~ less(X5,n0),
inference(variable_rename,[status(thm)],[245]) ).
cnf(247,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[246]) ).
fof(248,plain,
! [X4] :
( ( ~ less(X4,n1)
| less_or_equal(X4,n0) )
& ( ~ less_or_equal(X4,n0)
| less(X4,n1) ) ),
inference(fof_nnf,[status(thm)],[54]) ).
fof(249,plain,
! [X5] :
( ( ~ less(X5,n1)
| less_or_equal(X5,n0) )
& ( ~ less_or_equal(X5,n0)
| less(X5,n1) ) ),
inference(variable_rename,[status(thm)],[248]) ).
cnf(250,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[249]) ).
cnf(251,plain,
( less_or_equal(X1,n0)
| ~ less(X1,n1) ),
inference(split_conjunct,[status(thm)],[249]) ).
fof(252,plain,
! [X4] :
( ( ~ less(X4,n2)
| less_or_equal(X4,n1) )
& ( ~ less_or_equal(X4,n1)
| less(X4,n2) ) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(253,plain,
! [X5] :
( ( ~ less(X5,n2)
| less_or_equal(X5,n1) )
& ( ~ less_or_equal(X5,n1)
| less(X5,n2) ) ),
inference(variable_rename,[status(thm)],[252]) ).
cnf(254,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[253]) ).
cnf(255,plain,
( less_or_equal(X1,n1)
| ~ less(X1,n2) ),
inference(split_conjunct,[status(thm)],[253]) ).
fof(256,plain,
! [X4] :
( ( ~ less(X4,n3)
| less_or_equal(X4,n2) )
& ( ~ less_or_equal(X4,n2)
| less(X4,n3) ) ),
inference(fof_nnf,[status(thm)],[56]) ).
fof(257,plain,
! [X5] :
( ( ~ less(X5,n3)
| less_or_equal(X5,n2) )
& ( ~ less_or_equal(X5,n2)
| less(X5,n3) ) ),
inference(variable_rename,[status(thm)],[256]) ).
cnf(258,plain,
( less(X1,n3)
| ~ less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[257]) ).
cnf(259,plain,
( less_or_equal(X1,n2)
| ~ less(X1,n3) ),
inference(split_conjunct,[status(thm)],[257]) ).
fof(260,plain,
! [X1,X2,X3] :
( ( ~ epred1_3(X3,X2,X1)
| ( X1 = tapOn
& X3 = filling )
| ( X1 = overflow
& X3 = spilling )
| ? [X10] :
( holdsAt(waterLevel(X10),X2)
& X1 = tapOff
& X3 = waterLevel(X10) )
| ? [X10] :
( holdsAt(waterLevel(X10),X2)
& X1 = overflow
& X3 = waterLevel(X10) ) )
& ( ( ( X1 != tapOn
| X3 != filling )
& ( X1 != overflow
| X3 != spilling )
& ! [X10] :
( ~ holdsAt(waterLevel(X10),X2)
| X1 != tapOff
| X3 != waterLevel(X10) )
& ! [X10] :
( ~ holdsAt(waterLevel(X10),X2)
| X1 != overflow
| X3 != waterLevel(X10) ) )
| epred1_3(X3,X2,X1) ) ),
inference(fof_nnf,[status(thm)],[72]) ).
fof(261,plain,
! [X11,X12,X13] :
( ( ~ epred1_3(X13,X12,X11)
| ( X11 = tapOn
& X13 = filling )
| ( X11 = overflow
& X13 = spilling )
| ? [X14] :
( holdsAt(waterLevel(X14),X12)
& X11 = tapOff
& X13 = waterLevel(X14) )
| ? [X15] :
( holdsAt(waterLevel(X15),X12)
& X11 = overflow
& X13 = waterLevel(X15) ) )
& ( ( ( X11 != tapOn
| X13 != filling )
& ( X11 != overflow
| X13 != spilling )
& ! [X16] :
( ~ holdsAt(waterLevel(X16),X12)
| X11 != tapOff
| X13 != waterLevel(X16) )
& ! [X17] :
( ~ holdsAt(waterLevel(X17),X12)
| X11 != overflow
| X13 != waterLevel(X17) ) )
| epred1_3(X13,X12,X11) ) ),
inference(variable_rename,[status(thm)],[260]) ).
fof(262,plain,
! [X11,X12,X13] :
( ( ~ epred1_3(X13,X12,X11)
| ( X11 = tapOn
& X13 = filling )
| ( X11 = overflow
& X13 = spilling )
| ( holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
& X11 = tapOff
& X13 = waterLevel(esk10_3(X11,X12,X13)) )
| ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
& X11 = overflow
& X13 = waterLevel(esk11_3(X11,X12,X13)) ) )
& ( ( ( X11 != tapOn
| X13 != filling )
& ( X11 != overflow
| X13 != spilling )
& ! [X16] :
( ~ holdsAt(waterLevel(X16),X12)
| X11 != tapOff
| X13 != waterLevel(X16) )
& ! [X17] :
( ~ holdsAt(waterLevel(X17),X12)
| X11 != overflow
| X13 != waterLevel(X17) ) )
| epred1_3(X13,X12,X11) ) ),
inference(skolemize,[status(esa)],[261]) ).
fof(263,plain,
! [X11,X12,X13,X16,X17] :
( ( ( ( ~ holdsAt(waterLevel(X17),X12)
| X11 != overflow
| X13 != waterLevel(X17) )
& ( ~ holdsAt(waterLevel(X16),X12)
| X11 != tapOff
| X13 != waterLevel(X16) )
& ( X11 != tapOn
| X13 != filling )
& ( X11 != overflow
| X13 != spilling ) )
| epred1_3(X13,X12,X11) )
& ( ~ epred1_3(X13,X12,X11)
| ( X11 = tapOn
& X13 = filling )
| ( X11 = overflow
& X13 = spilling )
| ( holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
& X11 = tapOff
& X13 = waterLevel(esk10_3(X11,X12,X13)) )
| ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
& X11 = overflow
& X13 = waterLevel(esk11_3(X11,X12,X13)) ) ) ),
inference(shift_quantors,[status(thm)],[262]) ).
fof(264,plain,
! [X11,X12,X13,X16,X17] :
( ( ~ holdsAt(waterLevel(X17),X12)
| X11 != overflow
| X13 != waterLevel(X17)
| epred1_3(X13,X12,X11) )
& ( ~ holdsAt(waterLevel(X16),X12)
| X11 != tapOff
| X13 != waterLevel(X16)
| epred1_3(X13,X12,X11) )
& ( X11 != tapOn
| X13 != filling
| epred1_3(X13,X12,X11) )
& ( X11 != overflow
| X13 != spilling
| epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| X11 = tapOff
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| X11 = tapOff
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| X11 = tapOff
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| X11 = tapOff
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| X11 = tapOff
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| X11 = tapOff
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| X11 = tapOff
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| X11 = tapOff
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| X11 = tapOff
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| X11 = tapOff
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| X11 = tapOff
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| X11 = tapOff
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) ) ),
inference(distribute,[status(thm)],[263]) ).
cnf(275,plain,
( X1 = filling
| X3 = overflow
| X1 = waterLevel(esk10_3(X3,X2,X1))
| X3 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[264]) ).
cnf(293,plain,
( X3 = tapOn
| X3 = overflow
| X1 = waterLevel(esk10_3(X3,X2,X1))
| X3 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[264]) ).
cnf(299,plain,
( X3 = tapOn
| X3 = overflow
| holdsAt(waterLevel(esk10_3(X3,X2,X1)),X2)
| X3 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[264]) ).
cnf(302,plain,
( epred1_3(X1,X2,X3)
| X1 != filling
| X3 != tapOn ),
inference(split_conjunct,[status(thm)],[264]) ).
cnf(303,plain,
( epred1_3(X1,X2,X3)
| X1 != waterLevel(X4)
| X3 != tapOff
| ~ holdsAt(waterLevel(X4),X2) ),
inference(split_conjunct,[status(thm)],[264]) ).
cnf(304,plain,
( epred1_3(X1,X2,X3)
| X1 != waterLevel(X4)
| X3 != overflow
| ~ holdsAt(waterLevel(X4),X2) ),
inference(split_conjunct,[status(thm)],[264]) ).
cnf(306,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[217,theory(equality)]) ).
cnf(307,plain,
~ less(X1,X1),
inference(er,[status(thm)],[207,theory(equality)]) ).
cnf(318,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[194,211,theory(equality)]) ).
cnf(358,plain,
( X1 = n2
| less(X1,n2)
| ~ less(X1,n3) ),
inference(spm,[status(thm)],[219,259,theory(equality)]) ).
cnf(360,plain,
( X1 = n1
| less(X1,n1)
| ~ less(X1,n2) ),
inference(spm,[status(thm)],[219,255,theory(equality)]) ).
cnf(361,plain,
( X1 = n0
| less(X1,n0)
| ~ less(X1,n1) ),
inference(spm,[status(thm)],[219,251,theory(equality)]) ).
cnf(366,plain,
( X1 = n0
| ~ less(X1,n1) ),
inference(sr,[status(thm)],[361,247,theory(equality)]) ).
cnf(369,plain,
( releases(X1,waterLevel(X2),X3)
| tapOn != X1 ),
inference(er,[status(thm)],[160,theory(equality)]) ).
cnf(379,plain,
( X2 != filling
| ~ releases(X1,X2,X3) ),
inference(spm,[status(thm)],[79,158,theory(equality)]) ).
cnf(393,plain,
( ~ less(esk9_3(X1,X2,X3),X1)
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[208,171,theory(equality)]) ).
cnf(399,plain,
( epred1_3(X1,n3,X2)
| waterLevel(n3) != X1
| tapOff != X2 ),
inference(spm,[status(thm)],[303,196,theory(equality)]) ).
cnf(400,plain,
( epred1_3(X1,n0,X2)
| waterLevel(n0) != X1
| tapOff != X2 ),
inference(spm,[status(thm)],[303,195,theory(equality)]) ).
cnf(403,plain,
( epred1_3(X1,n3,X2)
| waterLevel(n3) != X1
| overflow != X2 ),
inference(spm,[status(thm)],[304,196,theory(equality)]) ).
cnf(405,plain,
( epred1_3(X1,X2,X3)
| X5 != X1
| overflow != X3
| ~ holdsAt(X5,X2)
| ~ releases(X4,X5,X6) ),
inference(spm,[status(thm)],[304,158,theory(equality)]) ).
cnf(406,plain,
( epred1_3(X1,X2,X3)
| overflow != X3
| ~ holdsAt(X1,X2)
| ~ releases(X4,X1,X5) ),
inference(er,[status(thm)],[405,theory(equality)]) ).
cnf(407,plain,
( holdsAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| ~ epred1_3(X1,X2,X3) ),
inference(spm,[status(thm)],[93,179,theory(equality)]) ).
cnf(412,plain,
( ~ initiates(X1,X2,X3)
| ~ releasedAt(X2,plus(n1,X3))
| ~ happens(X1,X3) ),
inference(spm,[status(thm)],[150,211,theory(equality)]) ).
cnf(415,plain,
( tapOn = esk6_2(X1,X2)
| overflow = esk6_2(X1,X2)
| releasedAt(X1,plus(X2,n1))
| ~ releasedAt(X1,X2) ),
inference(spm,[status(thm)],[102,145,theory(equality)]) ).
cnf(419,plain,
( tapOn = esk6_2(X1,X2)
| holdsAt(waterLevel(n3),X2)
| releasedAt(X1,plus(X2,n1))
| ~ releasedAt(X1,X2) ),
inference(spm,[status(thm)],[104,145,theory(equality)]) ).
cnf(433,plain,
( tapOn = X1
| overflow = X1
| X3 != filling
| ~ epred1_3(X3,X2,X1) ),
inference(spm,[status(thm)],[79,293,theory(equality)]) ).
cnf(446,plain,
( n0 = esk4_3(X1,X2,X3)
| overflow = esk3_3(X1,X2,X3)
| ~ startedIn(X1,X3,X2) ),
inference(spm,[status(thm)],[99,119,theory(equality)]) ).
cnf(453,plain,
( tapOn = esk8_3(X1,X2,X3)
| overflow = esk8_3(X1,X2,X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[102,172,theory(equality)]) ).
cnf(474,plain,
( tapOn = X1
| overflow = X1
| holdsAt(X3,X2)
| filling = X3
| ~ epred1_3(X3,X2,X1) ),
inference(spm,[status(thm)],[299,275,theory(equality)]) ).
cnf(477,plain,
( holdsAt(X1,plus(esk4_3(X2,X3,X1),n1))
| ~ happens(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))
| ~ startedIn(X2,X1,X3) ),
inference(spm,[status(thm)],[93,116,theory(equality)]) ).
cnf(478,plain,
( holdsAt(X1,plus(n1,esk4_3(X2,X3,X1)))
| ~ happens(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))
| ~ startedIn(X2,X1,X3) ),
inference(rw,[status(thm)],[477,211,theory(equality)]) ).
cnf(480,plain,
( overflow = esk8_3(X1,X2,X3)
| tapOff = esk8_3(X1,X2,X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[129,169,theory(equality)]) ).
cnf(482,plain,
( ~ terminates(X1,X2,X3)
| ~ releasedAt(X2,plus(n1,X3))
| ~ happens(X1,X3) ),
inference(spm,[status(thm)],[149,211,theory(equality)]) ).
cnf(485,plain,
( tapOn = esk5_2(X1,X2)
| overflow = esk5_2(X1,X2)
| holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[102,139,theory(equality)]) ).
cnf(486,plain,
( n0 = X1
| holdsAt(filling,X1)
| holdsAt(X2,plus(X1,n1))
| releasedAt(X2,plus(X1,n1))
| ~ holdsAt(X2,X1) ),
inference(spm,[status(thm)],[100,139,theory(equality)]) ).
cnf(488,plain,
( n0 = X1
| holdsAt(waterLevel(n3),X1)
| holdsAt(X2,plus(X1,n1))
| releasedAt(X2,plus(X1,n1))
| ~ holdsAt(X2,X1) ),
inference(spm,[status(thm)],[101,139,theory(equality)]) ).
cnf(491,plain,
( ~ holdsAt(X2,plus(X3,n1))
| ~ happens(X1,X3)
| overflow != X1
| filling != X2 ),
inference(spm,[status(thm)],[176,124,theory(equality)]) ).
cnf(509,plain,
( tapOn = esk1_2(X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[159,89,theory(equality)]) ).
cnf(551,plain,
( startedIn(X1,X2,X3)
| ~ less(X4,X3)
| ~ less(X1,X4)
| ~ happens(X5,X4)
| ~ epred1_3(X2,X4,X5) ),
inference(spm,[status(thm)],[120,179,theory(equality)]) ).
cnf(553,plain,
( filling = X1
| holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[126,138,theory(equality)]) ).
cnf(554,plain,
( overflow = esk5_2(X1,X2)
| tapOff = esk5_2(X1,X2)
| holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[129,138,theory(equality)]) ).
cnf(556,plain,
( stoppedIn(X1,X2,X3)
| holdsAt(X2,plus(X4,n1))
| releasedAt(X2,plus(X4,n1))
| ~ less(X4,X3)
| ~ less(X1,X4)
| ~ happens(esk5_2(X2,X4),X4)
| ~ holdsAt(X2,X4) ),
inference(spm,[status(thm)],[173,138,theory(equality)]) ).
cnf(645,plain,
less(n3,n4),
inference(spm,[status(thm)],[231,306,theory(equality)]) ).
cnf(646,plain,
less(n2,n3),
inference(spm,[status(thm)],[258,306,theory(equality)]) ).
cnf(648,plain,
less(n0,n1),
inference(spm,[status(thm)],[250,306,theory(equality)]) ).
cnf(649,plain,
less(n1,n2),
inference(spm,[status(thm)],[254,306,theory(equality)]) ).
cnf(662,plain,
~ less(n2,n1),
inference(spm,[status(thm)],[208,649,theory(equality)]) ).
cnf(744,plain,
( esk9_3(X1,X2,n1) = n0
| ~ stoppedIn(X1,X2,n1) ),
inference(spm,[status(thm)],[366,170,theory(equality)]) ).
cnf(766,plain,
( releasedAt(X1,X2)
| X1 != filling
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[379,89,theory(equality)]) ).
cnf(906,plain,
( X1 = n1
| less(X1,n1)
| X1 = n2
| ~ less(X1,n3) ),
inference(spm,[status(thm)],[360,358,theory(equality)]) ).
cnf(1066,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| ~ happens(X3,X2)
| tapOn != X3 ),
inference(spm,[status(thm)],[77,369,theory(equality)]) ).
cnf(1388,plain,
( epred1_3(waterLevel(X1),X2,X3)
| overflow != X3
| ~ holdsAt(waterLevel(X1),X2)
| tapOn != X4 ),
inference(spm,[status(thm)],[406,369,theory(equality)]) ).
cnf(1407,plain,
( holdsAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| filling != X1
| tapOn != X3 ),
inference(spm,[status(thm)],[407,302,theory(equality)]) ).
cnf(1410,plain,
( holdsAt(X1,plus(n3,n1))
| ~ happens(X2,n3)
| waterLevel(n3) != X1
| overflow != X2 ),
inference(spm,[status(thm)],[407,403,theory(equality)]) ).
cnf(1414,plain,
( holdsAt(X1,n4)
| ~ happens(X2,n3)
| waterLevel(n3) != X1
| overflow != X2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1410,211,theory(equality)]),188,theory(equality)]) ).
cnf(1416,plain,
( less(X1,n0)
| ~ stoppedIn(X1,X2,n1) ),
inference(spm,[status(thm)],[171,744,theory(equality)]) ).
cnf(1422,plain,
~ stoppedIn(X1,X2,n1),
inference(sr,[status(thm)],[1416,247,theory(equality)]) ).
cnf(1526,plain,
( ~ initiates(X1,X2,n3)
| ~ releasedAt(X2,n4)
| ~ happens(X1,n3) ),
inference(spm,[status(thm)],[412,188,theory(equality)]) ).
cnf(1528,plain,
( ~ initiates(X1,X2,n2)
| ~ releasedAt(X2,n3)
| ~ happens(X1,n2) ),
inference(spm,[status(thm)],[412,189,theory(equality)]) ).
cnf(1529,plain,
( ~ initiates(X1,X2,n0)
| ~ releasedAt(X2,n1)
| ~ happens(X1,n0) ),
inference(spm,[status(thm)],[412,318,theory(equality)]) ).
cnf(2108,plain,
( holdsAt(X1,n4)
| waterLevel(n3) != X1
| overflow != X2
| ~ holdsAt(waterLevel(n3),n3)
| ~ holdsAt(filling,n3) ),
inference(spm,[status(thm)],[1414,97,theory(equality)]) ).
cnf(2113,plain,
( holdsAt(X1,n4)
| waterLevel(n3) != X1
| overflow != X2
| $false
| ~ holdsAt(filling,n3) ),
inference(rw,[status(thm)],[2108,196,theory(equality)]) ).
cnf(2114,plain,
( holdsAt(X1,n4)
| waterLevel(n3) != X1
| overflow != X2
| ~ holdsAt(filling,n3) ),
inference(cn,[status(thm)],[2113,theory(equality)]) ).
cnf(2139,plain,
( releasedAt(X1,X2)
| X1 != filling
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[766,211,theory(equality)]) ).
cnf(2199,plain,
( releasedAt(X1,n0)
| X1 != filling
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[2139,318,theory(equality)]) ).
cnf(2215,plain,
~ releasedAt(filling,n1),
inference(spm,[status(thm)],[209,2199,theory(equality)]) ).
cnf(2482,plain,
( esk9_3(X1,X2,n3) = n2
| esk9_3(X1,X2,n3) = n1
| less(esk9_3(X1,X2,n3),n1)
| ~ stoppedIn(X1,X2,n3) ),
inference(spm,[status(thm)],[906,170,theory(equality)]) ).
cnf(3024,plain,
( tapOn = X1
| overflow = X1
| holdsAt(X3,X2)
| ~ epred1_3(X3,X2,X1) ),
inference(csr,[status(thm)],[474,433]) ).
cnf(3027,plain,
( overflow = X1
| tapOn = X1
| holdsAt(X2,n3)
| waterLevel(n3) != X2
| tapOff != X1 ),
inference(spm,[status(thm)],[3024,399,theory(equality)]) ).
cnf(3028,plain,
( overflow = X1
| tapOn = X1
| holdsAt(X2,n0)
| waterLevel(n0) != X2
| tapOff != X1 ),
inference(spm,[status(thm)],[3024,400,theory(equality)]) ).
cnf(3031,plain,
( tapOn = tapOff
| overflow = tapOff
| holdsAt(X1,n3)
| waterLevel(n3) != X1 ),
inference(er,[status(thm)],[3027,theory(equality)]) ).
cnf(3032,plain,
( tapOff = overflow
| holdsAt(X1,n3)
| waterLevel(n3) != X1 ),
inference(sr,[status(thm)],[3031,184,theory(equality)]) ).
cnf(3033,plain,
( holdsAt(X1,n3)
| waterLevel(n3) != X1 ),
inference(sr,[status(thm)],[3032,74,theory(equality)]) ).
cnf(3138,plain,
( holdsAt(X1,plus(n1,esk4_3(X2,X3,X1)))
| ~ startedIn(X2,X1,X3) ),
inference(csr,[status(thm)],[478,119]) ).
cnf(3175,plain,
( tapOff = overflow
| tapOff = tapOn
| esk8_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[453,480,theory(equality)]) ).
cnf(3177,plain,
( tapOff = tapOn
| esk8_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[3175,74,theory(equality)]) ).
cnf(3178,plain,
( esk8_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[3177,184,theory(equality)]) ).
cnf(3179,plain,
( happens(overflow,esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[172,3178,theory(equality)]) ).
cnf(3236,plain,
( ~ terminates(X1,X2,n2)
| ~ releasedAt(X2,n3)
| ~ happens(X1,n2) ),
inference(spm,[status(thm)],[482,189,theory(equality)]) ).
cnf(3391,plain,
( ~ releasedAt(X2,n4)
| ~ happens(X1,n3)
| ~ epred1_3(X2,n3,X1) ),
inference(spm,[status(thm)],[1526,179,theory(equality)]) ).
cnf(3398,plain,
( n0 = X1
| holdsAt(X2,plus(n1,X1))
| holdsAt(filling,X1)
| releasedAt(X2,plus(n1,X1))
| ~ holdsAt(X2,X1) ),
inference(spm,[status(thm)],[486,211,theory(equality)]) ).
cnf(3443,plain,
( ~ releasedAt(X2,n3)
| ~ happens(X1,n2)
| ~ epred1_3(X2,n2,X1) ),
inference(spm,[status(thm)],[1528,179,theory(equality)]) ).
cnf(3455,plain,
( releasedAt(X1,X2)
| n0 = X2
| holdsAt(X1,plus(X2,n1))
| holdsAt(waterLevel(n3),X2)
| X1 != filling
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[766,488,theory(equality)]) ).
cnf(3526,plain,
( ~ releasedAt(X2,n1)
| ~ happens(X1,n0)
| ~ epred1_3(X2,n0,X1) ),
inference(spm,[status(thm)],[1529,179,theory(equality)]) ).
cnf(3585,plain,
( overflow != X1
| filling != X2
| ~ holdsAt(X2,n2)
| ~ happens(X1,n1) ),
inference(spm,[status(thm)],[491,190,theory(equality)]) ).
cnf(3586,plain,
( overflow != X1
| filling != X2
| ~ holdsAt(X2,plus(n1,X3))
| ~ happens(X1,X3) ),
inference(spm,[status(thm)],[491,211,theory(equality)]) ).
fof(3598,plain,
( ~ epred18_0
<=> ! [X1] :
( ~ happens(X1,n1)
| overflow != X1 ) ),
introduced(definition),
[split] ).
cnf(3599,plain,
( epred18_0
| ~ happens(X1,n1)
| overflow != X1 ),
inference(split_equiv,[status(thm)],[3598]) ).
fof(3600,plain,
( ~ epred19_0
<=> ! [X2] :
( ~ holdsAt(X2,n2)
| filling != X2 ) ),
introduced(definition),
[split] ).
cnf(3601,plain,
( epred19_0
| ~ holdsAt(X2,n2)
| filling != X2 ),
inference(split_equiv,[status(thm)],[3600]) ).
cnf(3602,plain,
( ~ epred19_0
| ~ epred18_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[3585,3598,theory(equality)]),3600,theory(equality)]),
[split] ).
cnf(3605,plain,
( epred18_0
| releasedAt(X1,plus(n1,n1))
| overflow != esk6_2(X1,n1)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[3599,145,theory(equality)]) ).
cnf(3607,plain,
( epred18_0
| holdsAt(X1,plus(n1,n1))
| releasedAt(X1,plus(n1,n1))
| overflow != esk5_2(X1,n1)
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[3599,139,theory(equality)]) ).
cnf(3609,plain,
( epred18_0
| releasedAt(X1,n2)
| overflow != esk6_2(X1,n1)
| ~ releasedAt(X1,n1) ),
inference(rw,[status(thm)],[3605,190,theory(equality)]) ).
cnf(3611,plain,
( epred18_0
| holdsAt(X1,n2)
| releasedAt(X1,plus(n1,n1))
| overflow != esk5_2(X1,n1)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[3607,190,theory(equality)]) ).
cnf(3612,plain,
( epred18_0
| holdsAt(X1,n2)
| releasedAt(X1,n2)
| overflow != esk5_2(X1,n1)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[3611,190,theory(equality)]) ).
cnf(3907,plain,
( releasedAt(X1,X2)
| happens(tapOn,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[90,509,theory(equality)]) ).
cnf(4124,plain,
( ~ releasedAt(X2,n3)
| ~ happens(X1,n2)
| overflow != X1
| filling != X2 ),
inference(spm,[status(thm)],[3236,124,theory(equality)]) ).
fof(4131,plain,
( ~ epred26_0
<=> ! [X2] :
( filling != X2
| ~ releasedAt(X2,n3) ) ),
introduced(definition),
[split] ).
cnf(4132,plain,
( epred26_0
| filling != X2
| ~ releasedAt(X2,n3) ),
inference(split_equiv,[status(thm)],[4131]) ).
fof(4133,plain,
( ~ epred27_0
<=> ! [X1] :
( overflow != X1
| ~ happens(X1,n2) ) ),
introduced(definition),
[split] ).
cnf(4134,plain,
( epred27_0
| overflow != X1
| ~ happens(X1,n2) ),
inference(split_equiv,[status(thm)],[4133]) ).
cnf(4135,plain,
( ~ epred27_0
| ~ epred26_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[4124,4131,theory(equality)]),4133,theory(equality)]),
[split] ).
cnf(4161,plain,
( epred27_0
| holdsAt(X1,plus(n2,n1))
| releasedAt(X1,plus(n2,n1))
| overflow != esk5_2(X1,n2)
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[4134,139,theory(equality)]) ).
cnf(4165,plain,
( epred27_0
| holdsAt(X1,n3)
| releasedAt(X1,plus(n2,n1))
| overflow != esk5_2(X1,n2)
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4161,211,theory(equality)]),189,theory(equality)]) ).
cnf(4166,plain,
( epred27_0
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| overflow != esk5_2(X1,n2)
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4165,211,theory(equality)]),189,theory(equality)]) ).
cnf(4408,plain,
( ~ releasedAt(X1,n4)
| ~ happens(X2,n3)
| waterLevel(n3) != X1
| overflow != X2 ),
inference(spm,[status(thm)],[3391,403,theory(equality)]) ).
fof(4424,plain,
( ~ epred41_0
<=> ! [X1] :
( waterLevel(n3) != X1
| ~ releasedAt(X1,n4) ) ),
introduced(definition),
[split] ).
cnf(4425,plain,
( epred41_0
| waterLevel(n3) != X1
| ~ releasedAt(X1,n4) ),
inference(split_equiv,[status(thm)],[4424]) ).
fof(4426,plain,
( ~ epred42_0
<=> ! [X2] :
( overflow != X2
| ~ happens(X2,n3) ) ),
introduced(definition),
[split] ).
cnf(4427,plain,
( epred42_0
| overflow != X2
| ~ happens(X2,n3) ),
inference(split_equiv,[status(thm)],[4426]) ).
cnf(4428,plain,
( ~ epred42_0
| ~ epred41_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[4408,4424,theory(equality)]),4426,theory(equality)]),
[split] ).
cnf(4615,plain,
( epred42_0
| overflow != X1
| ~ holdsAt(waterLevel(n3),n3)
| ~ holdsAt(filling,n3) ),
inference(spm,[status(thm)],[4427,97,theory(equality)]) ).
cnf(4618,plain,
( epred42_0
| holdsAt(X1,plus(n3,n1))
| releasedAt(X1,plus(n3,n1))
| overflow != esk5_2(X1,n3)
| ~ holdsAt(X1,n3) ),
inference(spm,[status(thm)],[4427,139,theory(equality)]) ).
cnf(4620,plain,
( epred42_0
| overflow != X1
| $false
| ~ holdsAt(filling,n3) ),
inference(rw,[status(thm)],[4615,196,theory(equality)]) ).
cnf(4621,plain,
( epred42_0
| overflow != X1
| ~ holdsAt(filling,n3) ),
inference(cn,[status(thm)],[4620,theory(equality)]) ).
cnf(4624,plain,
( epred42_0
| holdsAt(X1,n4)
| releasedAt(X1,plus(n3,n1))
| overflow != esk5_2(X1,n3)
| ~ holdsAt(X1,n3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4618,211,theory(equality)]),188,theory(equality)]) ).
cnf(4625,plain,
( epred42_0
| holdsAt(X1,n4)
| releasedAt(X1,n4)
| overflow != esk5_2(X1,n3)
| ~ holdsAt(X1,n3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4624,211,theory(equality)]),188,theory(equality)]) ).
cnf(4688,plain,
( ~ releasedAt(X1,n1)
| ~ happens(X2,n0)
| filling != X1
| tapOn != X2 ),
inference(spm,[status(thm)],[3526,302,theory(equality)]) ).
fof(4696,plain,
( ~ epred52_0
<=> ! [X1] :
( filling != X1
| ~ releasedAt(X1,n1) ) ),
introduced(definition),
[split] ).
cnf(4697,plain,
( epred52_0
| filling != X1
| ~ releasedAt(X1,n1) ),
inference(split_equiv,[status(thm)],[4696]) ).
fof(4698,plain,
( ~ epred53_0
<=> ! [X2] :
( tapOn != X2
| ~ happens(X2,n0) ) ),
introduced(definition),
[split] ).
cnf(4699,plain,
( epred53_0
| tapOn != X2
| ~ happens(X2,n0) ),
inference(split_equiv,[status(thm)],[4698]) ).
cnf(4700,plain,
( ~ epred53_0
| ~ epred52_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[4688,4696,theory(equality)]),4698,theory(equality)]),
[split] ).
cnf(4742,plain,
( epred53_0
| tapOn != X1 ),
inference(spm,[status(thm)],[4699,98,theory(equality)]) ).
cnf(4758,plain,
epred53_0,
inference(er,[status(thm)],[4742,theory(equality)]) ).
cnf(4760,plain,
( $false
| ~ epred52_0 ),
inference(rw,[status(thm)],[4700,4758,theory(equality)]) ).
cnf(4761,plain,
~ epred52_0,
inference(cn,[status(thm)],[4760,theory(equality)]) ).
cnf(5263,plain,
( startedIn(X1,X2,X3)
| ~ less(X4,X3)
| ~ less(X1,X4)
| ~ happens(X5,X4)
| filling != X2
| tapOn != X5 ),
inference(spm,[status(thm)],[551,302,theory(equality)]) ).
cnf(5363,plain,
( filling = X1
| holdsAt(X1,plus(n1,X2))
| releasedAt(X1,plus(n1,X2))
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[553,211,theory(equality)]) ).
cnf(5400,plain,
( tapOff = overflow
| tapOff = tapOn
| holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| esk5_2(X1,X2) = overflow
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[485,554,theory(equality)]) ).
cnf(5404,plain,
( tapOff = tapOn
| holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| esk5_2(X1,X2) = overflow
| ~ holdsAt(X1,X2) ),
inference(sr,[status(thm)],[5400,74,theory(equality)]) ).
cnf(5405,plain,
( holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| esk5_2(X1,X2) = overflow
| ~ holdsAt(X1,X2) ),
inference(sr,[status(thm)],[5404,184,theory(equality)]) ).
cnf(5415,plain,
( holdsAt(X2,plus(X4,n1))
| stoppedIn(X1,X2,X3)
| releasedAt(X2,plus(X4,n1))
| ~ holdsAt(X2,X4)
| ~ less(X4,X3)
| ~ less(X1,X4) ),
inference(csr,[status(thm)],[556,139]) ).
cnf(5417,plain,
( holdsAt(X1,plus(n2,n1))
| stoppedIn(X2,X1,n3)
| releasedAt(X1,plus(n2,n1))
| ~ holdsAt(X1,n2)
| ~ less(X2,n2) ),
inference(spm,[status(thm)],[5415,646,theory(equality)]) ).
cnf(5517,plain,
( holdsAt(X1,n3)
| stoppedIn(X2,X1,n3)
| releasedAt(X1,plus(n2,n1))
| ~ holdsAt(X1,n2)
| ~ less(X2,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5417,211,theory(equality)]),189,theory(equality)]) ).
cnf(5518,plain,
( holdsAt(X1,n3)
| stoppedIn(X2,X1,n3)
| releasedAt(X1,n3)
| ~ holdsAt(X1,n2)
| ~ less(X2,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5517,211,theory(equality)]),189,theory(equality)]) ).
cnf(6030,plain,
( tapOn = tapOff
| overflow = tapOff
| holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(er,[status(thm)],[3028,theory(equality)]) ).
cnf(6031,plain,
( tapOff = overflow
| holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(sr,[status(thm)],[6030,184,theory(equality)]) ).
cnf(6032,plain,
( holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(sr,[status(thm)],[6031,74,theory(equality)]) ).
cnf(6038,plain,
( trajectory(filling,n0,waterLevel(X1),X2)
| plus(X3,X2) != X1
| waterLevel(n0) != waterLevel(X3) ),
inference(spm,[status(thm)],[183,6032,theory(equality)]) ).
cnf(6155,plain,
( releasedAt(X1,X2)
| happens(tapOn,X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[3907,211,theory(equality)]) ).
cnf(6668,plain,
( releasedAt(X1,n0)
| happens(tapOn,n0)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[6155,318,theory(equality)]) ).
cnf(6691,plain,
( overflow != X1
| filling != X2
| ~ holdsAt(X2,n3)
| ~ happens(X1,n2) ),
inference(spm,[status(thm)],[3586,189,theory(equality)]) ).
cnf(6705,plain,
( overflow != X1
| filling != X2
| ~ happens(X1,esk4_3(X3,X4,X2))
| ~ startedIn(X3,X2,X4) ),
inference(spm,[status(thm)],[3586,3138,theory(equality)]) ).
fof(6716,plain,
( ~ epred70_0
<=> ! [X1] :
( ~ happens(X1,n2)
| overflow != X1 ) ),
introduced(definition),
[split] ).
cnf(6717,plain,
( epred70_0
| ~ happens(X1,n2)
| overflow != X1 ),
inference(split_equiv,[status(thm)],[6716]) ).
fof(6718,plain,
( ~ epred71_0
<=> ! [X2] :
( ~ holdsAt(X2,n3)
| filling != X2 ) ),
introduced(definition),
[split] ).
cnf(6719,plain,
( epred71_0
| ~ holdsAt(X2,n3)
| filling != X2 ),
inference(split_equiv,[status(thm)],[6718]) ).
cnf(6720,plain,
( ~ epred71_0
| ~ epred70_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[6691,6716,theory(equality)]),6718,theory(equality)]),
[split] ).
cnf(6802,plain,
( epred70_0
| holdsAt(X1,plus(n2,n1))
| releasedAt(X1,plus(n2,n1))
| overflow != esk5_2(X1,n2)
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[6717,139,theory(equality)]) ).
cnf(6806,plain,
( epred70_0
| holdsAt(X1,n3)
| releasedAt(X1,plus(n2,n1))
| overflow != esk5_2(X1,n2)
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6802,211,theory(equality)]),189,theory(equality)]) ).
cnf(6807,plain,
( epred70_0
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| overflow != esk5_2(X1,n2)
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6806,211,theory(equality)]),189,theory(equality)]) ).
cnf(6879,plain,
( happens(tapOn,n0)
| ~ releasedAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[213,6668,theory(equality)]) ).
cnf(8372,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| tapOn != X3
| n0 != X2 ),
inference(spm,[status(thm)],[1066,98,theory(equality)]) ).
cnf(8738,plain,
( overflow != esk3_3(X1,X2,X3)
| filling != X3
| ~ startedIn(X1,X3,X2) ),
inference(spm,[status(thm)],[6705,119,theory(equality)]) ).
cnf(8783,plain,
( esk4_3(X1,X2,X3) = n0
| filling != X3
| ~ startedIn(X1,X3,X2) ),
inference(spm,[status(thm)],[8738,446,theory(equality)]) ).
cnf(8869,plain,
( less(X1,n0)
| ~ startedIn(X1,X3,X2)
| filling != X3 ),
inference(spm,[status(thm)],[118,8783,theory(equality)]) ).
cnf(8912,plain,
( ~ startedIn(X1,X3,X2)
| filling != X3 ),
inference(sr,[status(thm)],[8869,247,theory(equality)]) ).
cnf(9753,plain,
( trajectory(filling,n0,waterLevel(plus(X1,X2)),X2)
| waterLevel(n0) != waterLevel(X1) ),
inference(er,[status(thm)],[6038,theory(equality)]) ).
cnf(9876,plain,
( trajectory(filling,n0,waterLevel(plus(X2,X1)),X2)
| waterLevel(n0) != waterLevel(X1) ),
inference(spm,[status(thm)],[9753,211,theory(equality)]) ).
cnf(9931,plain,
trajectory(filling,n0,waterLevel(n1),n1),
inference(spm,[status(thm)],[9876,318,theory(equality)]) ).
cnf(9939,plain,
( holdsAt(waterLevel(n1),plus(n0,n1))
| stoppedIn(n0,filling,plus(n0,n1))
| ~ less(n0,n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(spm,[status(thm)],[84,9931,theory(equality)]) ).
cnf(9940,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,plus(n0,n1))
| ~ less(n0,n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9939,211,theory(equality)]),318,theory(equality)]) ).
cnf(9941,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ less(n0,n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9940,211,theory(equality)]),318,theory(equality)]) ).
cnf(9942,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| $false
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(rw,[status(thm)],[9941,648,theory(equality)]) ).
cnf(9943,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(cn,[status(thm)],[9942,theory(equality)]) ).
cnf(9944,plain,
( holdsAt(waterLevel(n1),n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(sr,[status(thm)],[9943,1422,theory(equality)]) ).
cnf(10012,plain,
( holdsAt(waterLevel(n1),n1)
| ~ happens(X1,n0)
| ~ epred1_3(filling,n0,X1) ),
inference(spm,[status(thm)],[9944,179,theory(equality)]) ).
cnf(10032,plain,
( holdsAt(waterLevel(n1),n1)
| ~ epred1_3(filling,n0,X1)
| tapOn != X1 ),
inference(spm,[status(thm)],[10012,98,theory(equality)]) ).
cnf(10047,plain,
( holdsAt(waterLevel(n1),n1)
| tapOn != X1 ),
inference(spm,[status(thm)],[10032,302,theory(equality)]) ).
cnf(10055,plain,
holdsAt(waterLevel(n1),n1),
inference(er,[status(thm)],[10047,theory(equality)]) ).
cnf(10056,plain,
( X1 = n1
| ~ holdsAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[187,10055,theory(equality)]) ).
cnf(19968,plain,
( epred1_3(waterLevel(X1),X2,X3)
| overflow != X3
| ~ holdsAt(waterLevel(X1),X2) ),
inference(er,[status(thm)],[1388,theory(equality)]) ).
cnf(22378,plain,
( ~ releasedAt(waterLevel(X1),n4)
| ~ happens(X2,n3)
| overflow != X2
| ~ holdsAt(waterLevel(X1),n3) ),
inference(spm,[status(thm)],[3391,19968,theory(equality)]) ).
cnf(22379,plain,
( ~ releasedAt(waterLevel(X1),n3)
| ~ happens(X2,n2)
| overflow != X2
| ~ holdsAt(waterLevel(X1),n2) ),
inference(spm,[status(thm)],[3443,19968,theory(equality)]) ).
fof(22430,plain,
( ~ epred104_0
<=> ! [X1] :
( ~ holdsAt(waterLevel(X1),n3)
| ~ releasedAt(waterLevel(X1),n4) ) ),
introduced(definition),
[split] ).
cnf(22431,plain,
( epred104_0
| ~ holdsAt(waterLevel(X1),n3)
| ~ releasedAt(waterLevel(X1),n4) ),
inference(split_equiv,[status(thm)],[22430]) ).
fof(22432,plain,
( ~ epred105_0
<=> ! [X2] :
( overflow != X2
| ~ happens(X2,n3) ) ),
introduced(definition),
[split] ).
cnf(22433,plain,
( epred105_0
| overflow != X2
| ~ happens(X2,n3) ),
inference(split_equiv,[status(thm)],[22432]) ).
cnf(22434,plain,
( ~ epred105_0
| ~ epred104_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[22378,22430,theory(equality)]),22432,theory(equality)]),
[split] ).
fof(22435,plain,
( ~ epred106_0
<=> ! [X1] :
( ~ holdsAt(waterLevel(X1),n2)
| ~ releasedAt(waterLevel(X1),n3) ) ),
introduced(definition),
[split] ).
cnf(22436,plain,
( epred106_0
| ~ holdsAt(waterLevel(X1),n2)
| ~ releasedAt(waterLevel(X1),n3) ),
inference(split_equiv,[status(thm)],[22435]) ).
fof(22437,plain,
( ~ epred107_0
<=> ! [X2] :
( overflow != X2
| ~ happens(X2,n2) ) ),
introduced(definition),
[split] ).
cnf(22438,plain,
( epred107_0
| overflow != X2
| ~ happens(X2,n2) ),
inference(split_equiv,[status(thm)],[22437]) ).
cnf(22439,plain,
( ~ epred107_0
| ~ epred106_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[22379,22435,theory(equality)]),22437,theory(equality)]),
[split] ).
cnf(22454,plain,
( epred105_0
| overflow != X1
| ~ holdsAt(waterLevel(n3),n3)
| ~ holdsAt(filling,n3) ),
inference(spm,[status(thm)],[22433,97,theory(equality)]) ).
cnf(22459,plain,
( epred105_0
| overflow != X1
| $false
| ~ holdsAt(filling,n3) ),
inference(rw,[status(thm)],[22454,196,theory(equality)]) ).
cnf(22460,plain,
( epred105_0
| overflow != X1
| ~ holdsAt(filling,n3) ),
inference(cn,[status(thm)],[22459,theory(equality)]) ).
cnf(47730,plain,
( esk9_3(n1,X1,n3) = n1
| esk9_3(n1,X1,n3) = n2
| ~ stoppedIn(n1,X1,n3) ),
inference(spm,[status(thm)],[393,2482,theory(equality)]) ).
cnf(75711,plain,
( n0 = n3
| holdsAt(X1,n4)
| holdsAt(filling,n3)
| releasedAt(X1,n4)
| ~ holdsAt(X1,n3) ),
inference(spm,[status(thm)],[3398,188,theory(equality)]) ).
cnf(75798,plain,
( epred41_0
| n3 = n0
| holdsAt(filling,n3)
| holdsAt(X1,n4)
| waterLevel(n3) != X1
| ~ holdsAt(X1,n3) ),
inference(spm,[status(thm)],[4425,75711,theory(equality)]) ).
cnf(75803,plain,
( epred104_0
| n3 = n0
| holdsAt(filling,n3)
| holdsAt(waterLevel(X1),n4)
| ~ holdsAt(waterLevel(X1),n3) ),
inference(spm,[status(thm)],[22431,75711,theory(equality)]) ).
cnf(84895,plain,
( n3 = n0
| epred104_0
| holdsAt(filling,n3)
| ~ holdsAt(waterLevel(n3),n3) ),
inference(spm,[status(thm)],[200,75803,theory(equality)]) ).
cnf(85033,plain,
( n3 = n0
| epred104_0
| holdsAt(filling,n3)
| $false ),
inference(rw,[status(thm)],[84895,196,theory(equality)]) ).
cnf(85034,plain,
( n3 = n0
| epred104_0
| holdsAt(filling,n3) ),
inference(cn,[status(thm)],[85033,theory(equality)]) ).
cnf(85077,plain,
( holdsAt(X1,n4)
| n3 = n0
| epred104_0
| waterLevel(n3) != X1
| overflow != X2 ),
inference(spm,[status(thm)],[2114,85034,theory(equality)]) ).
cnf(91554,plain,
( n3 = n0
| epred104_0
| holdsAt(X1,n4)
| waterLevel(n3) != X1 ),
inference(er,[status(thm)],[85077,theory(equality)]) ).
cnf(91555,plain,
( n3 = n0
| epred104_0 ),
inference(spm,[status(thm)],[200,91554,theory(equality)]) ).
cnf(91676,plain,
( less(n2,n0)
| epred104_0 ),
inference(spm,[status(thm)],[646,91555,theory(equality)]) ).
cnf(92467,plain,
epred104_0,
inference(sr,[status(thm)],[91676,247,theory(equality)]) ).
cnf(92556,plain,
( ~ epred105_0
| $false ),
inference(rw,[status(thm)],[22434,92467,theory(equality)]) ).
cnf(92557,plain,
~ epred105_0,
inference(cn,[status(thm)],[92556,theory(equality)]) ).
cnf(94912,plain,
( n3 = n0
| epred41_0
| holdsAt(filling,n3)
| holdsAt(X1,n4)
| waterLevel(n3) != X1 ),
inference(csr,[status(thm)],[75798,3033]) ).
cnf(94913,plain,
( n3 = n0
| epred41_0
| holdsAt(filling,n3)
| holdsAt(waterLevel(n3),n4) ),
inference(er,[status(thm)],[94912,theory(equality)]) ).
cnf(94914,plain,
( n3 = n0
| epred41_0
| holdsAt(filling,n3) ),
inference(sr,[status(thm)],[94913,200,theory(equality)]) ).
cnf(94989,plain,
( epred105_0
| n3 = n0
| epred41_0
| overflow != X1 ),
inference(spm,[status(thm)],[22460,94914,theory(equality)]) ).
cnf(95034,plain,
( n3 = n0
| epred41_0
| overflow != X1 ),
inference(sr,[status(thm)],[94989,92557,theory(equality)]) ).
cnf(95977,plain,
( n3 = n0
| epred41_0 ),
inference(er,[status(thm)],[95034,theory(equality)]) ).
cnf(95983,plain,
( less(n2,n0)
| epred41_0 ),
inference(spm,[status(thm)],[646,95977,theory(equality)]) ).
cnf(96769,plain,
epred41_0,
inference(sr,[status(thm)],[95983,247,theory(equality)]) ).
cnf(96894,plain,
( ~ epred42_0
| $false ),
inference(rw,[status(thm)],[4428,96769,theory(equality)]) ).
cnf(96895,plain,
~ epred42_0,
inference(cn,[status(thm)],[96894,theory(equality)]) ).
cnf(103068,plain,
( n0 = n1
| holdsAt(filling,plus(n1,n1))
| holdsAt(waterLevel(n3),n1)
| ~ holdsAt(filling,n1) ),
inference(spm,[status(thm)],[2215,3455,theory(equality)]) ).
cnf(103617,plain,
( n0 = n1
| holdsAt(filling,n2)
| holdsAt(waterLevel(n3),n1)
| ~ holdsAt(filling,n1) ),
inference(rw,[status(thm)],[103068,190,theory(equality)]) ).
cnf(104393,plain,
( n3 = n1
| n0 = n1
| holdsAt(filling,n2)
| ~ holdsAt(filling,n1) ),
inference(spm,[status(thm)],[10056,103617,theory(equality)]) ).
cnf(104588,plain,
( epred19_0
| n0 = n1
| n3 = n1
| ~ holdsAt(filling,n1) ),
inference(spm,[status(thm)],[3601,104393,theory(equality)]) ).
cnf(113208,plain,
( happens(overflow,n2)
| esk9_3(n1,X1,n3) = n1
| ~ stoppedIn(n1,X1,n3) ),
inference(spm,[status(thm)],[3179,47730,theory(equality)]) ).
cnf(113380,plain,
( less(n1,n1)
| happens(overflow,n2)
| ~ stoppedIn(n1,X1,n3) ),
inference(spm,[status(thm)],[171,113208,theory(equality)]) ).
cnf(113398,plain,
( happens(overflow,n2)
| ~ stoppedIn(n1,X1,n3) ),
inference(sr,[status(thm)],[113380,307,theory(equality)]) ).
cnf(157012,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| n0 != X2 ),
inference(er,[status(thm)],[8372,theory(equality)]) ).
cnf(159484,plain,
( releasedAt(waterLevel(X1),plus(n1,X2))
| n0 != X2 ),
inference(spm,[status(thm)],[157012,211,theory(equality)]) ).
cnf(161484,plain,
releasedAt(waterLevel(X1),n1),
inference(spm,[status(thm)],[159484,318,theory(equality)]) ).
cnf(161557,plain,
( releasedAt(X2,n1)
| ~ releases(X1,X2,X3) ),
inference(spm,[status(thm)],[161484,158,theory(equality)]) ).
cnf(161974,plain,
( happens(tapOn,n0)
| $false ),
inference(rw,[status(thm)],[6879,161484,theory(equality)]) ).
cnf(161975,plain,
happens(tapOn,n0),
inference(cn,[status(thm)],[161974,theory(equality)]) ).
cnf(161981,plain,
( holdsAt(X1,plus(n0,n1))
| filling != X1 ),
inference(spm,[status(thm)],[1407,161975,theory(equality)]) ).
cnf(162014,plain,
( holdsAt(X1,n1)
| filling != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[161981,211,theory(equality)]),318,theory(equality)]) ).
cnf(162403,plain,
( n3 = n1
| n0 = n1
| epred19_0 ),
inference(spm,[status(thm)],[104588,162014,theory(equality)]) ).
cnf(167023,plain,
( less(n2,n1)
| n0 = n1
| epred19_0 ),
inference(spm,[status(thm)],[646,162403,theory(equality)]) ).
cnf(168122,plain,
( n0 = n1
| epred19_0 ),
inference(sr,[status(thm)],[167023,662,theory(equality)]) ).
cnf(168426,plain,
( less(n1,n1)
| epred19_0 ),
inference(spm,[status(thm)],[648,168122,theory(equality)]) ).
cnf(168621,plain,
epred19_0,
inference(sr,[status(thm)],[168426,307,theory(equality)]) ).
cnf(168662,plain,
( $false
| ~ epred18_0 ),
inference(rw,[status(thm)],[3602,168621,theory(equality)]) ).
cnf(168663,plain,
~ epred18_0,
inference(cn,[status(thm)],[168662,theory(equality)]) ).
cnf(169536,plain,
( releasedAt(X1,n1)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[161557,89,theory(equality)]) ).
cnf(186588,plain,
( holdsAt(X1,n4)
| releasedAt(X1,n4)
| esk5_2(X1,n3) != overflow
| ~ holdsAt(X1,n3) ),
inference(sr,[status(thm)],[4625,96895,theory(equality)]) ).
cnf(196290,plain,
( releasedAt(X1,n1)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[169536,190,theory(equality)]) ).
cnf(196291,plain,
( releasedAt(X1,n1)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[169536,211,theory(equality)]) ).
cnf(211168,plain,
( releasedAt(X1,n1)
| releasedAt(X1,n2)
| ~ releasedAt(X1,n3) ),
inference(spm,[status(thm)],[196291,189,theory(equality)]) ).
cnf(211402,plain,
( releasedAt(X1,n1)
| ~ releasedAt(X1,n3) ),
inference(csr,[status(thm)],[211168,196290]) ).
cnf(215993,plain,
( filling != X2
| tapOn != X5
| ~ less(X4,X3)
| ~ less(X1,X4)
| ~ happens(X5,X4) ),
inference(csr,[status(thm)],[5263,8912]) ).
fof(215994,plain,
( ~ epred443_0
<=> ! [X2] : filling != X2 ),
introduced(definition),
[split] ).
cnf(215995,plain,
( epred443_0
| filling != X2 ),
inference(split_equiv,[status(thm)],[215994]) ).
fof(215996,plain,
( ~ epred444_0
<=> ! [X3,X4,X1,X5] :
( ~ happens(X5,X4)
| ~ less(X1,X4)
| ~ less(X4,X3)
| tapOn != X5 ) ),
introduced(definition),
[split] ).
cnf(215997,plain,
( epred444_0
| ~ happens(X5,X4)
| ~ less(X1,X4)
| ~ less(X4,X3)
| tapOn != X5 ),
inference(split_equiv,[status(thm)],[215996]) ).
cnf(215998,plain,
( ~ epred444_0
| ~ epred443_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[215993,215994,theory(equality)]),215996,theory(equality)]),
[split] ).
cnf(215999,plain,
epred443_0,
inference(er,[status(thm)],[215995,theory(equality)]) ).
cnf(216001,plain,
( ~ epred444_0
| $false ),
inference(rw,[status(thm)],[215998,215999,theory(equality)]) ).
cnf(216002,plain,
~ epred444_0,
inference(cn,[status(thm)],[216001,theory(equality)]) ).
cnf(222019,plain,
( filling = X1
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[5363,189,theory(equality)]) ).
cnf(222261,plain,
( epred106_0
| filling = waterLevel(X1)
| holdsAt(waterLevel(X1),n3)
| ~ holdsAt(waterLevel(X1),n2) ),
inference(spm,[status(thm)],[22436,222019,theory(equality)]) ).
cnf(222374,plain,
( epred106_0
| holdsAt(waterLevel(X1),n3)
| ~ holdsAt(waterLevel(X1),n2) ),
inference(sr,[status(thm)],[222261,79,theory(equality)]) ).
cnf(224128,plain,
( epred18_0
| holdsAt(X1,n2)
| releasedAt(X1,n2)
| holdsAt(X1,plus(n1,n1))
| releasedAt(X1,plus(n1,n1))
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[3612,5405,theory(equality)]) ).
cnf(224130,plain,
( epred27_0
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| holdsAt(X1,plus(n2,n1))
| releasedAt(X1,plus(n2,n1))
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[4166,5405,theory(equality)]) ).
cnf(224135,plain,
( holdsAt(X1,n4)
| releasedAt(X1,n4)
| holdsAt(X1,plus(n3,n1))
| releasedAt(X1,plus(n3,n1))
| ~ holdsAt(X1,n3) ),
inference(spm,[status(thm)],[186588,5405,theory(equality)]) ).
cnf(224159,plain,
( epred18_0
| holdsAt(X1,n2)
| releasedAt(X1,n2)
| holdsAt(X1,n2)
| releasedAt(X1,plus(n1,n1))
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[224128,190,theory(equality)]) ).
cnf(224160,plain,
( epred18_0
| holdsAt(X1,n2)
| releasedAt(X1,n2)
| holdsAt(X1,n2)
| releasedAt(X1,n2)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[224159,190,theory(equality)]) ).
cnf(224161,plain,
( epred18_0
| holdsAt(X1,n2)
| releasedAt(X1,n2)
| ~ holdsAt(X1,n1) ),
inference(cn,[status(thm)],[224160,theory(equality)]) ).
cnf(224162,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| ~ holdsAt(X1,n1) ),
inference(sr,[status(thm)],[224161,168663,theory(equality)]) ).
cnf(224166,plain,
( epred27_0
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| holdsAt(X1,n3)
| releasedAt(X1,plus(n2,n1))
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[224130,211,theory(equality)]),189,theory(equality)]) ).
cnf(224167,plain,
( epred27_0
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[224166,211,theory(equality)]),189,theory(equality)]) ).
cnf(224168,plain,
( epred27_0
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| ~ holdsAt(X1,n2) ),
inference(cn,[status(thm)],[224167,theory(equality)]) ).
cnf(224181,plain,
( holdsAt(X1,n4)
| releasedAt(X1,n4)
| holdsAt(X1,n4)
| releasedAt(X1,plus(n3,n1))
| ~ holdsAt(X1,n3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[224135,211,theory(equality)]),188,theory(equality)]) ).
cnf(224182,plain,
( holdsAt(X1,n4)
| releasedAt(X1,n4)
| holdsAt(X1,n4)
| releasedAt(X1,n4)
| ~ holdsAt(X1,n3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[224181,211,theory(equality)]),188,theory(equality)]) ).
cnf(224183,plain,
( holdsAt(X1,n4)
| releasedAt(X1,n4)
| ~ holdsAt(X1,n3) ),
inference(cn,[status(thm)],[224182,theory(equality)]) ).
cnf(224546,plain,
( happens(overflow,n2)
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| ~ holdsAt(X1,n2)
| ~ less(n1,n2) ),
inference(spm,[status(thm)],[113398,5518,theory(equality)]) ).
cnf(224588,plain,
( happens(overflow,n2)
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| ~ holdsAt(X1,n2)
| $false ),
inference(rw,[status(thm)],[224546,649,theory(equality)]) ).
cnf(224589,plain,
( happens(overflow,n2)
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| ~ holdsAt(X1,n2) ),
inference(cn,[status(thm)],[224588,theory(equality)]) ).
cnf(225975,plain,
( releasedAt(X1,n1)
| holdsAt(X1,n2)
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[196290,224162,theory(equality)]) ).
cnf(226561,plain,
( epred52_0
| holdsAt(X1,n2)
| filling != X1
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[4697,225975,theory(equality)]) ).
cnf(226864,plain,
( holdsAt(X1,n2)
| filling != X1
| ~ holdsAt(X1,n1) ),
inference(sr,[status(thm)],[226561,4761,theory(equality)]) ).
cnf(227165,plain,
( holdsAt(X1,n2)
| filling != X1 ),
inference(csr,[status(thm)],[226864,162014]) ).
cnf(228478,plain,
( releasedAt(X1,n1)
| epred27_0
| holdsAt(X1,n3)
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[211402,224168,theory(equality)]) ).
cnf(251596,plain,
( epred27_0
| holdsAt(filling,n3)
| ~ holdsAt(filling,n2) ),
inference(spm,[status(thm)],[2215,228478,theory(equality)]) ).
cnf(252033,plain,
( epred27_0
| holdsAt(filling,n3) ),
inference(spm,[status(thm)],[251596,227165,theory(equality)]) ).
cnf(252042,plain,
( epred42_0
| epred27_0
| overflow != X1 ),
inference(spm,[status(thm)],[4621,252033,theory(equality)]) ).
cnf(252123,plain,
( epred27_0
| overflow != X1 ),
inference(sr,[status(thm)],[252042,96895,theory(equality)]) ).
cnf(252163,plain,
epred27_0,
inference(er,[status(thm)],[252123,theory(equality)]) ).
cnf(252212,plain,
( $false
| ~ epred26_0 ),
inference(rw,[status(thm)],[4135,252163,theory(equality)]) ).
cnf(252213,plain,
~ epred26_0,
inference(cn,[status(thm)],[252212,theory(equality)]) ).
cnf(306858,plain,
( ~ happens(X5,X4)
| ~ less(X1,X4)
| ~ less(X4,X3)
| tapOn != X5 ),
inference(sr,[status(thm)],[215997,216002,theory(equality)]) ).
cnf(306860,plain,
( tapOn != X1
| ~ less(n3,X2)
| ~ happens(X1,n3) ),
inference(spm,[status(thm)],[306858,646,theory(equality)]) ).
cnf(306862,plain,
( tapOn != X1
| ~ less(n1,X2)
| ~ happens(X1,n1) ),
inference(spm,[status(thm)],[306858,648,theory(equality)]) ).
cnf(306863,plain,
( tapOn != X1
| ~ less(n2,X2)
| ~ happens(X1,n2) ),
inference(spm,[status(thm)],[306858,649,theory(equality)]) ).
fof(307085,plain,
( ~ epred473_0
<=> ! [X1] :
( ~ happens(X1,n3)
| tapOn != X1 ) ),
introduced(definition),
[split] ).
cnf(307086,plain,
( epred473_0
| ~ happens(X1,n3)
| tapOn != X1 ),
inference(split_equiv,[status(thm)],[307085]) ).
fof(307087,plain,
( ~ epred474_0
<=> ! [X2] : ~ less(n3,X2) ),
introduced(definition),
[split] ).
cnf(307088,plain,
( epred474_0
| ~ less(n3,X2) ),
inference(split_equiv,[status(thm)],[307087]) ).
cnf(307089,plain,
( ~ epred474_0
| ~ epred473_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[306860,307085,theory(equality)]),307087,theory(equality)]),
[split] ).
fof(307095,plain,
( ~ epred477_0
<=> ! [X1] :
( ~ happens(X1,n1)
| tapOn != X1 ) ),
introduced(definition),
[split] ).
cnf(307096,plain,
( epred477_0
| ~ happens(X1,n1)
| tapOn != X1 ),
inference(split_equiv,[status(thm)],[307095]) ).
fof(307097,plain,
( ~ epred478_0
<=> ! [X2] : ~ less(n1,X2) ),
introduced(definition),
[split] ).
cnf(307098,plain,
( epred478_0
| ~ less(n1,X2) ),
inference(split_equiv,[status(thm)],[307097]) ).
cnf(307099,plain,
( ~ epred478_0
| ~ epred477_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[306862,307095,theory(equality)]),307097,theory(equality)]),
[split] ).
fof(307100,plain,
( ~ epred479_0
<=> ! [X1] :
( ~ happens(X1,n2)
| tapOn != X1 ) ),
introduced(definition),
[split] ).
cnf(307101,plain,
( epred479_0
| ~ happens(X1,n2)
| tapOn != X1 ),
inference(split_equiv,[status(thm)],[307100]) ).
fof(307102,plain,
( ~ epred480_0
<=> ! [X2] : ~ less(n2,X2) ),
introduced(definition),
[split] ).
cnf(307103,plain,
( epred480_0
| ~ less(n2,X2) ),
inference(split_equiv,[status(thm)],[307102]) ).
cnf(307104,plain,
( ~ epred480_0
| ~ epred479_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[306863,307100,theory(equality)]),307102,theory(equality)]),
[split] ).
cnf(307287,plain,
epred474_0,
inference(spm,[status(thm)],[307088,645,theory(equality)]) ).
cnf(307716,plain,
( $false
| ~ epred473_0 ),
inference(rw,[status(thm)],[307089,307287,theory(equality)]) ).
cnf(307717,plain,
~ epred473_0,
inference(cn,[status(thm)],[307716,theory(equality)]) ).
cnf(308934,plain,
epred478_0,
inference(spm,[status(thm)],[307098,649,theory(equality)]) ).
cnf(309075,plain,
( $false
| ~ epred477_0 ),
inference(rw,[status(thm)],[307099,308934,theory(equality)]) ).
cnf(309076,plain,
~ epred477_0,
inference(cn,[status(thm)],[309075,theory(equality)]) ).
cnf(309077,plain,
epred480_0,
inference(spm,[status(thm)],[307103,646,theory(equality)]) ).
cnf(309128,plain,
( $false
| ~ epred479_0 ),
inference(rw,[status(thm)],[307104,309077,theory(equality)]) ).
cnf(309129,plain,
~ epred479_0,
inference(cn,[status(thm)],[309128,theory(equality)]) ).
cnf(312159,plain,
( ~ happens(X1,n3)
| tapOn != X1 ),
inference(sr,[status(thm)],[307086,307717,theory(equality)]) ).
cnf(312163,plain,
( releasedAt(X1,n3)
| tapOn != esk1_2(X1,n3)
| ~ releasedAt(X1,plus(n3,n1)) ),
inference(spm,[status(thm)],[312159,90,theory(equality)]) ).
cnf(312171,plain,
( releasedAt(X1,n3)
| tapOn != esk1_2(X1,n3)
| ~ releasedAt(X1,n4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[312163,211,theory(equality)]),188,theory(equality)]) ).
cnf(313495,plain,
( ~ happens(X1,n1)
| tapOn != X1 ),
inference(sr,[status(thm)],[307096,309076,theory(equality)]) ).
cnf(313498,plain,
( releasedAt(X1,plus(n1,n1))
| tapOn != esk6_2(X1,n1)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[313495,145,theory(equality)]) ).
cnf(313506,plain,
( releasedAt(X1,n2)
| tapOn != esk6_2(X1,n1)
| ~ releasedAt(X1,n1) ),
inference(rw,[status(thm)],[313498,190,theory(equality)]) ).
cnf(313512,plain,
( ~ happens(X1,n2)
| tapOn != X1 ),
inference(sr,[status(thm)],[307101,309129,theory(equality)]) ).
cnf(313515,plain,
( releasedAt(X1,plus(n2,n1))
| tapOn != esk6_2(X1,n2)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[313512,145,theory(equality)]) ).
cnf(313521,plain,
( releasedAt(X1,n3)
| tapOn != esk6_2(X1,n2)
| ~ releasedAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[313515,211,theory(equality)]),189,theory(equality)]) ).
cnf(320848,plain,
( releasedAt(X1,n3)
| ~ releasedAt(X1,n4)
| ~ releasedAt(X1,plus(n3,n1)) ),
inference(spm,[status(thm)],[312171,509,theory(equality)]) ).
cnf(320849,plain,
( releasedAt(X1,n3)
| ~ releasedAt(X1,n4)
| ~ releasedAt(X1,n4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[320848,211,theory(equality)]),188,theory(equality)]) ).
cnf(320850,plain,
( releasedAt(X1,n3)
| ~ releasedAt(X1,n4) ),
inference(cn,[status(thm)],[320849,theory(equality)]) ).
cnf(320882,plain,
( releasedAt(X1,n3)
| holdsAt(X1,n4)
| ~ holdsAt(X1,n3) ),
inference(spm,[status(thm)],[320850,224183,theory(equality)]) ).
cnf(321261,plain,
( epred106_0
| holdsAt(waterLevel(X1),n4)
| ~ holdsAt(waterLevel(X1),n2)
| ~ holdsAt(waterLevel(X1),n3) ),
inference(spm,[status(thm)],[22436,320882,theory(equality)]) ).
cnf(321697,plain,
( releasedAt(X1,n2)
| esk6_2(X1,n1) = overflow
| releasedAt(X1,plus(n1,n1))
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[313506,415,theory(equality)]) ).
cnf(321708,plain,
( releasedAt(X1,n2)
| esk6_2(X1,n1) = overflow
| releasedAt(X1,n2)
| ~ releasedAt(X1,n1) ),
inference(rw,[status(thm)],[321697,190,theory(equality)]) ).
cnf(321709,plain,
( releasedAt(X1,n2)
| esk6_2(X1,n1) = overflow
| ~ releasedAt(X1,n1) ),
inference(cn,[status(thm)],[321708,theory(equality)]) ).
cnf(322251,plain,
( releasedAt(X1,n3)
| holdsAt(waterLevel(n3),n2)
| releasedAt(X1,plus(n2,n1))
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[313521,419,theory(equality)]) ).
cnf(322265,plain,
( releasedAt(X1,n3)
| holdsAt(waterLevel(n3),n2)
| releasedAt(X1,n3)
| ~ releasedAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[322251,211,theory(equality)]),189,theory(equality)]) ).
cnf(322266,plain,
( releasedAt(X1,n3)
| holdsAt(waterLevel(n3),n2)
| ~ releasedAt(X1,n2) ),
inference(cn,[status(thm)],[322265,theory(equality)]) ).
cnf(329768,plain,
( epred18_0
| releasedAt(X1,n2)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[3609,321709,theory(equality)]) ).
cnf(329802,plain,
( releasedAt(X1,n2)
| ~ releasedAt(X1,n1) ),
inference(sr,[status(thm)],[329768,168663,theory(equality)]) ).
cnf(329836,plain,
( holdsAt(waterLevel(n3),n2)
| releasedAt(X1,n3)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[322266,329802,theory(equality)]) ).
cnf(338116,plain,
( epred106_0
| holdsAt(waterLevel(X1),n4)
| ~ holdsAt(waterLevel(X1),n2) ),
inference(csr,[status(thm)],[321261,222374]) ).
cnf(338117,plain,
( epred106_0
| ~ holdsAt(waterLevel(n3),n2) ),
inference(spm,[status(thm)],[200,338116,theory(equality)]) ).
cnf(339666,plain,
( epred106_0
| holdsAt(waterLevel(n3),n2)
| ~ holdsAt(waterLevel(X1),n2)
| ~ releasedAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[22436,329836,theory(equality)]) ).
cnf(339724,plain,
( epred106_0
| holdsAt(waterLevel(n3),n2)
| ~ holdsAt(waterLevel(X1),n2)
| $false ),
inference(rw,[status(thm)],[339666,161484,theory(equality)]) ).
cnf(339725,plain,
( epred106_0
| holdsAt(waterLevel(n3),n2)
| ~ holdsAt(waterLevel(X1),n2) ),
inference(cn,[status(thm)],[339724,theory(equality)]) ).
cnf(339913,plain,
( epred106_0
| ~ holdsAt(waterLevel(X1),n2) ),
inference(csr,[status(thm)],[339725,338117]) ).
cnf(361588,plain,
( epred26_0
| holdsAt(X1,n3)
| happens(overflow,n2)
| filling != X1
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[4132,224589,theory(equality)]) ).
cnf(361606,plain,
( holdsAt(X1,n3)
| happens(overflow,n2)
| filling != X1
| ~ holdsAt(X1,n2) ),
inference(sr,[status(thm)],[361588,252213,theory(equality)]) ).
cnf(374516,plain,
( epred70_0
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| holdsAt(X1,plus(n2,n1))
| releasedAt(X1,plus(n2,n1))
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[6807,5405,theory(equality)]) ).
cnf(374524,plain,
( epred70_0
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| holdsAt(X1,n3)
| releasedAt(X1,plus(n2,n1))
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[374516,211,theory(equality)]),189,theory(equality)]) ).
cnf(374525,plain,
( epred70_0
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[374524,211,theory(equality)]),189,theory(equality)]) ).
cnf(374526,plain,
( epred70_0
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| ~ holdsAt(X1,n2) ),
inference(cn,[status(thm)],[374525,theory(equality)]) ).
cnf(374537,plain,
( epred26_0
| epred70_0
| holdsAt(X1,n3)
| filling != X1
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[4132,374526,theory(equality)]) ).
cnf(374555,plain,
( epred70_0
| holdsAt(X1,n3)
| filling != X1
| ~ holdsAt(X1,n2) ),
inference(sr,[status(thm)],[374537,252213,theory(equality)]) ).
cnf(374557,plain,
( epred70_0
| holdsAt(X1,n3)
| filling != X1 ),
inference(csr,[status(thm)],[374555,227165]) ).
cnf(374575,plain,
( epred42_0
| epred70_0
| overflow != X1 ),
inference(spm,[status(thm)],[4621,374557,theory(equality)]) ).
cnf(374717,plain,
( epred70_0
| overflow != X1 ),
inference(sr,[status(thm)],[374575,96895,theory(equality)]) ).
cnf(374723,plain,
epred70_0,
inference(er,[status(thm)],[374717,theory(equality)]) ).
cnf(374751,plain,
( ~ epred71_0
| $false ),
inference(rw,[status(thm)],[6720,374723,theory(equality)]) ).
cnf(374752,plain,
~ epred71_0,
inference(cn,[status(thm)],[374751,theory(equality)]) ).
cnf(395514,plain,
( holdsAt(X1,n3)
| happens(overflow,n2)
| filling != X1 ),
inference(csr,[status(thm)],[361606,227165]) ).
cnf(395515,plain,
( holdsAt(filling,n3)
| happens(overflow,n2) ),
inference(er,[status(thm)],[395514,theory(equality)]) ).
cnf(395533,plain,
( tapOn = overflow
| holdsAt(waterLevel(n3),n2)
| holdsAt(filling,n3) ),
inference(spm,[status(thm)],[104,395515,theory(equality)]) ).
cnf(395540,plain,
( epred107_0
| holdsAt(filling,n3) ),
inference(spm,[status(thm)],[22438,395515,theory(equality)]) ).
cnf(395607,plain,
( holdsAt(waterLevel(n3),n2)
| holdsAt(filling,n3) ),
inference(sr,[status(thm)],[395533,151,theory(equality)]) ).
cnf(395619,plain,
( epred71_0
| epred107_0 ),
inference(spm,[status(thm)],[6719,395540,theory(equality)]) ).
cnf(395699,plain,
epred107_0,
inference(sr,[status(thm)],[395619,374752,theory(equality)]) ).
cnf(395800,plain,
( $false
| ~ epred106_0 ),
inference(rw,[status(thm)],[22439,395699,theory(equality)]) ).
cnf(395801,plain,
~ epred106_0,
inference(cn,[status(thm)],[395800,theory(equality)]) ).
cnf(396304,plain,
( epred106_0
| holdsAt(filling,n3) ),
inference(spm,[status(thm)],[339913,395607,theory(equality)]) ).
cnf(396419,plain,
holdsAt(filling,n3),
inference(sr,[status(thm)],[396304,395801,theory(equality)]) ).
cnf(396446,plain,
epred71_0,
inference(spm,[status(thm)],[6719,396419,theory(equality)]) ).
cnf(396582,plain,
$false,
inference(sr,[status(thm)],[396446,374752,theory(equality)]) ).
cnf(396583,plain,
$false,
396582,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR001+2.p
% --creating new selector for [CSR001+0.ax, CSR001+1.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpWzizpW/sel_CSR001+2.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpWzizpW/sel_CSR001+2.p_2 with time limit 81
% -prover status ResourceOut
% --creating new selector for [CSR001+0.ax, CSR001+1.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpWzizpW/sel_CSR001+2.p_3 with time limit 74
% -prover status ResourceOut
% --creating new selector for [CSR001+0.ax, CSR001+1.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpWzizpW/sel_CSR001+2.p_4 with time limit 56
% -prover status ResourceOut
% --creating new selector for [CSR001+0.ax, CSR001+1.ax]
% -running prover on /tmp/tmpWzizpW/sel_CSR001+2.p_5 with time limit 55
% -prover status Theorem
% Problem CSR001+2.p solved in phase 4.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR001+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR001+2.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
%
%------------------------------------------------------------------------------