TSTP Solution File: CSR005+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR005+1 : TPTP v5.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 05:52:12 EST 2010
% Result : Theorem 294.05s
% Output : CNFRefutation 294.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 78
% Number of leaves : 59
% Syntax : Number of formulae : 603 ( 84 unt; 0 def)
% Number of atoms : 2403 ( 727 equ)
% Maximal formula atoms : 194 ( 3 avg)
% Number of connectives : 2869 (1069 ~;1488 |; 260 &)
% ( 35 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 50 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 21 prp; 0-4 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-3 aty)
% Number of variables : 999 ( 73 sgn 338 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
tapOff != overflow,
file('/tmp/tmpFFshPd/sel_CSR005+1.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/tmpFFshPd/sel_CSR005+1.p_5',happens_releases) ).
fof(3,axiom,
! [X4] : filling != waterLevel(X4),
file('/tmp/tmpFFshPd/sel_CSR005+1.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/tmpFFshPd/sel_CSR005+1.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/tmpFFshPd/sel_CSR005+1.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/tmpFFshPd/sel_CSR005+1.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/tmpFFshPd/sel_CSR005+1.p_5',happens_all_defn) ).
fof(9,axiom,
! [X3,X2] :
( ( ~ holdsAt(X3,X2)
& ~ releasedAt(X3,plus(X2,n1))
& ~ ? [X1] :
( happens(X1,X2)
& initiates(X1,X3,X2) ) )
=> ~ holdsAt(X3,plus(X2,n1)) ),
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',keep_not_holding) ).
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/tmpFFshPd/sel_CSR005+1.p_5',startedin_defn) ).
fof(11,axiom,
! [X1,X3,X2] :
( terminates(X1,X3,X2)
<=> ( ( X1 = tapOff
& X3 = filling )
| ( X1 = overflow
& X3 = filling ) ) ),
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',terminates_all_defn) ).
fof(12,axiom,
! [X4,X9] :
( waterLevel(X4) = waterLevel(X9)
<=> X4 = X9 ),
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',distinct_waterLevels) ).
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/tmpFFshPd/sel_CSR005+1.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/tmpFFshPd/sel_CSR005+1.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/tmpFFshPd/sel_CSR005+1.p_5',happens_not_released) ).
fof(16,axiom,
overflow != tapOn,
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',overflow_not_tapOn) ).
fof(18,axiom,
! [X1,X3,X2] :
( releases(X1,X3,X2)
<=> ? [X10] :
( X1 = tapOn
& X3 = waterLevel(X10) ) ),
file('/tmp/tmpFFshPd/sel_CSR005+1.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/tmpFFshPd/sel_CSR005+1.p_5',stoppedin_defn) ).
fof(21,axiom,
! [X1,X2,X3] :
( ( happens(X1,X2)
& terminates(X1,X3,X2) )
=> ~ holdsAt(X3,plus(X2,n1)) ),
file('/tmp/tmpFFshPd/sel_CSR005+1.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/tmpFFshPd/sel_CSR005+1.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/tmpFFshPd/sel_CSR005+1.p_5',change_of_waterLevel) ).
fof(24,axiom,
tapOff != tapOn,
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',tapOff_not_tapOn) ).
fof(25,axiom,
! [X2,X12,X13] :
( ( holdsAt(waterLevel(X12),X2)
& holdsAt(waterLevel(X13),X2) )
=> X12 = X13 ),
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',same_waterLevel) ).
fof(27,axiom,
plus(n1,n2) = n3,
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',plus1_2) ).
fof(28,axiom,
plus(n1,n1) = n2,
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',plus1_1) ).
fof(29,axiom,
plus(n0,n2) = n2,
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',plus0_2) ).
fof(32,axiom,
plus(n0,n1) = n1,
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',plus0_1) ).
fof(33,axiom,
holdsAt(waterLevel(n0),n0),
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',waterLevel_0) ).
fof(39,axiom,
! [X4,X9] :
( less(X4,X9)
<=> ( ~ less(X9,X4)
& X9 != X4 ) ),
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',less_property) ).
fof(40,axiom,
~ releasedAt(filling,n0),
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',not_released_filling_0) ).
fof(41,axiom,
! [X4,X9] : plus(X4,X9) = plus(X9,X4),
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',symmetry_of_plus) ).
fof(42,axiom,
! [X10] : ~ releasedAt(waterLevel(X10),n0),
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',not_released_waterLevel_0) ).
fof(43,conjecture,
holdsAt(filling,n3),
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',filling_3) ).
fof(44,axiom,
! [X4,X9] :
( less_or_equal(X4,X9)
<=> ( less(X4,X9)
| X4 = X9 ) ),
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',less_or_equal) ).
fof(45,axiom,
~ holdsAt(filling,n0),
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',not_filling_0) ).
fof(52,axiom,
~ ? [X4] : less(X4,n0),
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',less0) ).
fof(53,axiom,
! [X4] :
( less(X4,n1)
<=> less_or_equal(X4,n0) ),
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',less1) ).
fof(54,axiom,
! [X4] :
( less(X4,n2)
<=> less_or_equal(X4,n1) ),
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',less2) ).
fof(55,axiom,
! [X4] :
( less(X4,n3)
<=> less_or_equal(X4,n2) ),
file('/tmp/tmpFFshPd/sel_CSR005+1.p_5',less3) ).
fof(56,negated_conjecture,
~ holdsAt(filling,n3),
inference(assume_negation,[status(cth)],[43]) ).
fof(57,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(58,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(59,plain,
! [X3,X2] :
( ( ~ holdsAt(X3,X2)
& ~ releasedAt(X3,plus(X2,n1))
& ~ ? [X1] :
( happens(X1,X2)
& initiates(X1,X3,X2) ) )
=> ~ holdsAt(X3,plus(X2,n1)) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(60,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(61,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(63,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(66,plain,
! [X4,X9] :
( less(X4,X9)
<=> ( ~ less(X9,X4)
& X9 != X4 ) ),
inference(fof_simplification,[status(thm)],[39,theory(equality)]) ).
fof(67,plain,
~ releasedAt(filling,n0),
inference(fof_simplification,[status(thm)],[40,theory(equality)]) ).
fof(68,plain,
! [X10] : ~ releasedAt(waterLevel(X10),n0),
inference(fof_simplification,[status(thm)],[42,theory(equality)]) ).
fof(69,negated_conjecture,
~ holdsAt(filling,n3),
inference(fof_simplification,[status(thm)],[56,theory(equality)]) ).
fof(70,plain,
~ holdsAt(filling,n0),
inference(fof_simplification,[status(thm)],[45,theory(equality)]) ).
fof(71,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(72,plain,
! [X1,X3,X2] :
( initiates(X1,X3,X2)
<=> epred1_3(X3,X2,X1) ),
inference(apply_def,[status(esa)],[22,71,theory(equality)]) ).
cnf(73,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[1]) ).
fof(74,plain,
! [X1,X2,X3] :
( ~ happens(X1,X2)
| ~ releases(X1,X3,X2)
| releasedAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(75,plain,
! [X4,X5,X6] :
( ~ happens(X4,X5)
| ~ releases(X4,X6,X5)
| releasedAt(X6,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[74]) ).
cnf(76,plain,
( releasedAt(X1,plus(X2,n1))
| ~ releases(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[75]) ).
fof(77,plain,
! [X5] : filling != waterLevel(X5),
inference(variable_rename,[status(thm)],[3]) ).
cnf(78,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[77]) ).
fof(81,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)],[57]) ).
fof(82,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)],[81]) ).
cnf(83,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)],[82]) ).
fof(84,plain,
! [X3,X2] :
( releasedAt(X3,X2)
| ? [X1] :
( happens(X1,X2)
& releases(X1,X3,X2) )
| ~ releasedAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[58]) ).
fof(85,plain,
! [X4,X5] :
( releasedAt(X4,X5)
| ? [X6] :
( happens(X6,X5)
& releases(X6,X4,X5) )
| ~ releasedAt(X4,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[84]) ).
fof(86,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)],[85]) ).
fof(87,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)],[86]) ).
cnf(88,plain,
( releasedAt(X1,X2)
| releases(esk1_2(X1,X2),X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(89,plain,
( releasedAt(X1,X2)
| happens(esk1_2(X1,X2),X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[87]) ).
fof(90,plain,
! [X1,X2,X3] :
( ~ happens(X1,X2)
| ~ initiates(X1,X3,X2)
| holdsAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(91,plain,
! [X4,X5,X6] :
( ~ happens(X4,X5)
| ~ initiates(X4,X6,X5)
| holdsAt(X6,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[90]) ).
cnf(92,plain,
( holdsAt(X1,plus(X2,n1))
| ~ initiates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[91]) ).
fof(93,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(94,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)],[93]) ).
fof(95,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)],[94]) ).
cnf(96,plain,
( happens(X1,X2)
| X1 != overflow
| ~ holdsAt(filling,X2)
| ~ holdsAt(waterLevel(n3),X2) ),
inference(split_conjunct,[status(thm)],[95]) ).
cnf(97,plain,
( happens(X1,X2)
| X2 != n0
| X1 != tapOn ),
inference(split_conjunct,[status(thm)],[95]) ).
cnf(98,plain,
( X2 = n0
| X1 = overflow
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[95]) ).
cnf(99,plain,
( X2 = n0
| holdsAt(filling,X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[95]) ).
cnf(100,plain,
( X2 = n0
| holdsAt(waterLevel(n3),X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[95]) ).
cnf(101,plain,
( X1 = tapOn
| X1 = overflow
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[95]) ).
cnf(103,plain,
( X1 = tapOn
| holdsAt(waterLevel(n3),X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[95]) ).
fof(104,plain,
! [X3,X2] :
( holdsAt(X3,X2)
| releasedAt(X3,plus(X2,n1))
| ? [X1] :
( happens(X1,X2)
& initiates(X1,X3,X2) )
| ~ holdsAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[59]) ).
fof(105,plain,
! [X4,X5] :
( holdsAt(X4,X5)
| releasedAt(X4,plus(X5,n1))
| ? [X6] :
( happens(X6,X5)
& initiates(X6,X4,X5) )
| ~ holdsAt(X4,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[104]) ).
fof(106,plain,
! [X4,X5] :
( holdsAt(X4,X5)
| releasedAt(X4,plus(X5,n1))
| ( happens(esk2_2(X4,X5),X5)
& initiates(esk2_2(X4,X5),X4,X5) )
| ~ holdsAt(X4,plus(X5,n1)) ),
inference(skolemize,[status(esa)],[105]) ).
fof(107,plain,
! [X4,X5] :
( ( happens(esk2_2(X4,X5),X5)
| holdsAt(X4,X5)
| releasedAt(X4,plus(X5,n1))
| ~ holdsAt(X4,plus(X5,n1)) )
& ( initiates(esk2_2(X4,X5),X4,X5)
| holdsAt(X4,X5)
| releasedAt(X4,plus(X5,n1))
| ~ holdsAt(X4,plus(X5,n1)) ) ),
inference(distribute,[status(thm)],[106]) ).
cnf(108,plain,
( releasedAt(X1,plus(X2,n1))
| holdsAt(X1,X2)
| initiates(esk2_2(X1,X2),X1,X2)
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[107]) ).
cnf(109,plain,
( releasedAt(X1,plus(X2,n1))
| holdsAt(X1,X2)
| happens(esk2_2(X1,X2),X2)
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[107]) ).
fof(110,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(111,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)],[110]) ).
fof(112,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)],[111]) ).
fof(113,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)],[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) )
& ( 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)],[113]) ).
cnf(115,plain,
( initiates(esk3_3(X1,X3,X2),X2,esk4_3(X1,X3,X2))
| ~ startedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[114]) ).
cnf(117,plain,
( less(X1,esk4_3(X1,X3,X2))
| ~ startedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[114]) ).
cnf(118,plain,
( happens(esk3_3(X1,X3,X2),esk4_3(X1,X3,X2))
| ~ startedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[114]) ).
cnf(119,plain,
( startedIn(X1,X2,X3)
| ~ initiates(X4,X2,X5)
| ~ less(X5,X3)
| ~ less(X1,X5)
| ~ happens(X4,X5) ),
inference(split_conjunct,[status(thm)],[114]) ).
fof(120,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(121,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)],[120]) ).
fof(122,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)],[121]) ).
cnf(123,plain,
( terminates(X1,X2,X3)
| X2 != filling
| X1 != overflow ),
inference(split_conjunct,[status(thm)],[122]) ).
cnf(128,plain,
( X1 = tapOff
| X1 = overflow
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[122]) ).
fof(129,plain,
! [X4,X9] :
( ( waterLevel(X4) != waterLevel(X9)
| X4 = X9 )
& ( X4 != X9
| waterLevel(X4) = waterLevel(X9) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(130,plain,
! [X10,X11] :
( ( waterLevel(X10) != waterLevel(X11)
| X10 = X11 )
& ( X10 != X11
| waterLevel(X10) = waterLevel(X11) ) ),
inference(variable_rename,[status(thm)],[129]) ).
cnf(132,plain,
( X1 = X2
| waterLevel(X1) != waterLevel(X2) ),
inference(split_conjunct,[status(thm)],[130]) ).
fof(133,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)],[60]) ).
fof(134,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)],[133]) ).
fof(135,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)],[134]) ).
fof(136,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)],[135]) ).
cnf(137,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)],[136]) ).
cnf(138,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)],[136]) ).
fof(139,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(140,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)],[139]) ).
fof(141,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)],[140]) ).
fof(142,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)],[141]) ).
cnf(144,plain,
( releasedAt(X1,plus(X2,n1))
| happens(esk6_2(X1,X2),X2)
| ~ releasedAt(X1,X2) ),
inference(split_conjunct,[status(thm)],[142]) ).
fof(145,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)],[61]) ).
fof(146,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)],[145]) ).
fof(147,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)],[146]) ).
cnf(148,plain,
( ~ releasedAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| ~ terminates(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[147]) ).
cnf(149,plain,
( ~ releasedAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| ~ initiates(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[147]) ).
cnf(150,plain,
overflow != tapOn,
inference(split_conjunct,[status(thm)],[16]) ).
fof(152,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(153,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)],[152]) ).
fof(154,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)],[153]) ).
fof(155,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)],[154]) ).
fof(156,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)],[155]) ).
cnf(157,plain,
( X2 = waterLevel(esk7_3(X1,X2,X3))
| ~ releases(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[156]) ).
cnf(158,plain,
( X1 = tapOn
| ~ releases(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[156]) ).
cnf(159,plain,
( releases(X1,X2,X3)
| X2 != waterLevel(X4)
| X1 != tapOn ),
inference(split_conjunct,[status(thm)],[156]) ).
fof(163,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(164,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)],[163]) ).
fof(165,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)],[164]) ).
fof(166,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)],[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) )
& ( 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)],[166]) ).
cnf(168,plain,
( terminates(esk8_3(X1,X2,X3),X2,esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[167]) ).
cnf(169,plain,
( less(esk9_3(X1,X2,X3),X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[167]) ).
cnf(170,plain,
( less(X1,esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[167]) ).
cnf(171,plain,
( happens(esk8_3(X1,X2,X3),esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[167]) ).
fof(173,plain,
! [X1,X2,X3] :
( ~ happens(X1,X2)
| ~ terminates(X1,X3,X2)
| ~ holdsAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[63]) ).
fof(174,plain,
! [X4,X5,X6] :
( ~ happens(X4,X5)
| ~ terminates(X4,X6,X5)
| ~ holdsAt(X6,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[173]) ).
cnf(175,plain,
( ~ holdsAt(X1,plus(X2,n1))
| ~ terminates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[174]) ).
fof(176,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)],[72]) ).
fof(177,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)],[176]) ).
cnf(178,plain,
( initiates(X1,X2,X3)
| ~ epred1_3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[177]) ).
fof(180,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(181,plain,
! [X14,X15,X16,X17] :
( ~ holdsAt(waterLevel(X14),X15)
| X16 != plus(X14,X17)
| trajectory(filling,X15,waterLevel(X16),X17) ),
inference(variable_rename,[status(thm)],[180]) ).
cnf(182,plain,
( trajectory(filling,X1,waterLevel(X2),X3)
| X2 != plus(X4,X3)
| ~ holdsAt(waterLevel(X4),X1) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(183,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[24]) ).
fof(184,plain,
! [X2,X12,X13] :
( ~ holdsAt(waterLevel(X12),X2)
| ~ holdsAt(waterLevel(X13),X2)
| X12 = X13 ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(185,plain,
! [X14,X15,X16] :
( ~ holdsAt(waterLevel(X15),X14)
| ~ holdsAt(waterLevel(X16),X14)
| X15 = X16 ),
inference(variable_rename,[status(thm)],[184]) ).
cnf(186,plain,
( X1 = X2
| ~ holdsAt(waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X1),X3) ),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(188,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[27]) ).
cnf(189,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[28]) ).
cnf(190,plain,
plus(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[29]) ).
cnf(193,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[32]) ).
cnf(194,plain,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[33]) ).
fof(200,plain,
! [X4,X9] :
( ( ~ less(X4,X9)
| ( ~ less(X9,X4)
& X9 != X4 ) )
& ( less(X9,X4)
| X9 = X4
| less(X4,X9) ) ),
inference(fof_nnf,[status(thm)],[66]) ).
fof(201,plain,
! [X10,X11] :
( ( ~ less(X10,X11)
| ( ~ less(X11,X10)
& X11 != X10 ) )
& ( less(X11,X10)
| X11 = X10
| less(X10,X11) ) ),
inference(variable_rename,[status(thm)],[200]) ).
fof(202,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)],[201]) ).
cnf(203,plain,
( less(X1,X2)
| X2 = X1
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[202]) ).
cnf(204,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[202]) ).
cnf(205,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[202]) ).
cnf(206,plain,
~ releasedAt(filling,n0),
inference(split_conjunct,[status(thm)],[67]) ).
fof(207,plain,
! [X10,X11] : plus(X10,X11) = plus(X11,X10),
inference(variable_rename,[status(thm)],[41]) ).
cnf(208,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[207]) ).
fof(209,plain,
! [X11] : ~ releasedAt(waterLevel(X11),n0),
inference(variable_rename,[status(thm)],[68]) ).
cnf(210,plain,
~ releasedAt(waterLevel(X1),n0),
inference(split_conjunct,[status(thm)],[209]) ).
cnf(211,negated_conjecture,
~ holdsAt(filling,n3),
inference(split_conjunct,[status(thm)],[69]) ).
fof(212,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)],[44]) ).
fof(213,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)],[212]) ).
fof(214,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)],[213]) ).
cnf(215,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[214]) ).
cnf(217,plain,
( X1 = X2
| less(X1,X2)
| ~ less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[214]) ).
cnf(218,plain,
~ holdsAt(filling,n0),
inference(split_conjunct,[status(thm)],[70]) ).
fof(243,plain,
! [X4] : ~ less(X4,n0),
inference(fof_nnf,[status(thm)],[52]) ).
fof(244,plain,
! [X5] : ~ less(X5,n0),
inference(variable_rename,[status(thm)],[243]) ).
cnf(245,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[244]) ).
fof(246,plain,
! [X4] :
( ( ~ less(X4,n1)
| less_or_equal(X4,n0) )
& ( ~ less_or_equal(X4,n0)
| less(X4,n1) ) ),
inference(fof_nnf,[status(thm)],[53]) ).
fof(247,plain,
! [X5] :
( ( ~ less(X5,n1)
| less_or_equal(X5,n0) )
& ( ~ less_or_equal(X5,n0)
| less(X5,n1) ) ),
inference(variable_rename,[status(thm)],[246]) ).
cnf(248,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[247]) ).
cnf(249,plain,
( less_or_equal(X1,n0)
| ~ less(X1,n1) ),
inference(split_conjunct,[status(thm)],[247]) ).
fof(250,plain,
! [X4] :
( ( ~ less(X4,n2)
| less_or_equal(X4,n1) )
& ( ~ less_or_equal(X4,n1)
| less(X4,n2) ) ),
inference(fof_nnf,[status(thm)],[54]) ).
fof(251,plain,
! [X5] :
( ( ~ less(X5,n2)
| less_or_equal(X5,n1) )
& ( ~ less_or_equal(X5,n1)
| less(X5,n2) ) ),
inference(variable_rename,[status(thm)],[250]) ).
cnf(252,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[251]) ).
cnf(253,plain,
( less_or_equal(X1,n1)
| ~ less(X1,n2) ),
inference(split_conjunct,[status(thm)],[251]) ).
fof(254,plain,
! [X4] :
( ( ~ less(X4,n3)
| less_or_equal(X4,n2) )
& ( ~ less_or_equal(X4,n2)
| less(X4,n3) ) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(255,plain,
! [X5] :
( ( ~ less(X5,n3)
| less_or_equal(X5,n2) )
& ( ~ less_or_equal(X5,n2)
| less(X5,n3) ) ),
inference(variable_rename,[status(thm)],[254]) ).
cnf(256,plain,
( less(X1,n3)
| ~ less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[255]) ).
fof(258,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)],[71]) ).
fof(259,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)],[258]) ).
fof(260,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)],[259]) ).
fof(261,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)],[260]) ).
fof(262,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)],[261]) ).
cnf(273,plain,
( X1 = filling
| X3 = overflow
| X1 = waterLevel(esk10_3(X3,X2,X1))
| X3 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(279,plain,
( X1 = filling
| X3 = overflow
| holdsAt(waterLevel(esk10_3(X3,X2,X1)),X2)
| X3 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(291,plain,
( X3 = tapOn
| X3 = overflow
| X1 = waterLevel(esk10_3(X3,X2,X1))
| X3 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(297,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)],[262]) ).
cnf(300,plain,
( epred1_3(X1,X2,X3)
| X1 != filling
| X3 != tapOn ),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(301,plain,
( epred1_3(X1,X2,X3)
| X1 != waterLevel(X4)
| X3 != tapOff
| ~ holdsAt(waterLevel(X4),X2) ),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(302,plain,
( epred1_3(X1,X2,X3)
| X1 != waterLevel(X4)
| X3 != overflow
| ~ holdsAt(waterLevel(X4),X2) ),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(303,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[215,theory(equality)]) ).
cnf(305,plain,
~ less(X1,X1),
inference(er,[status(thm)],[204,theory(equality)]) ).
cnf(317,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[193,208,theory(equality)]) ).
cnf(326,plain,
( X1 = n0
| less(n0,X1) ),
inference(spm,[status(thm)],[245,203,theory(equality)]) ).
cnf(358,plain,
( X1 = n1
| less(X1,n1)
| ~ less(X1,n2) ),
inference(spm,[status(thm)],[217,253,theory(equality)]) ).
cnf(359,plain,
( X1 = n0
| less(X1,n0)
| ~ less(X1,n1) ),
inference(spm,[status(thm)],[217,249,theory(equality)]) ).
cnf(365,plain,
( X1 = n0
| ~ less(X1,n1) ),
inference(sr,[status(thm)],[359,245,theory(equality)]) ).
cnf(366,plain,
( releases(X1,waterLevel(X2),X3)
| tapOn != X1 ),
inference(er,[status(thm)],[159,theory(equality)]) ).
cnf(368,plain,
( X2 != filling
| ~ releases(X1,X2,X3) ),
inference(spm,[status(thm)],[78,157,theory(equality)]) ).
cnf(399,plain,
( esk10_3(X1,X2,X3) = X4
| filling = X3
| overflow = X1
| X3 != waterLevel(X4)
| ~ epred1_3(X3,X2,X1) ),
inference(spm,[status(thm)],[132,273,theory(equality)]) ).
cnf(404,plain,
( holdsAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| ~ epred1_3(X1,X2,X3) ),
inference(spm,[status(thm)],[92,178,theory(equality)]) ).
cnf(405,plain,
( epred1_3(X1,n0,X2)
| waterLevel(n0) != X1
| tapOff != X2 ),
inference(spm,[status(thm)],[301,194,theory(equality)]) ).
cnf(406,plain,
( epred1_3(X1,X2,X3)
| X5 != X1
| tapOff != X3
| ~ holdsAt(X5,X2)
| ~ releases(X4,X5,X6) ),
inference(spm,[status(thm)],[301,157,theory(equality)]) ).
cnf(408,plain,
( epred1_3(X1,X2,X3)
| tapOff != X3
| ~ holdsAt(X1,X2)
| ~ releases(X4,X1,X5) ),
inference(er,[status(thm)],[406,theory(equality)]) ).
cnf(410,plain,
( epred1_3(X1,n0,X2)
| waterLevel(n0) != X1
| overflow != X2 ),
inference(spm,[status(thm)],[302,194,theory(equality)]) ).
cnf(418,plain,
( ~ initiates(X1,X2,n1)
| ~ releasedAt(X2,n2)
| ~ happens(X1,n1) ),
inference(spm,[status(thm)],[149,189,theory(equality)]) ).
cnf(419,plain,
( ~ initiates(X1,X2,X3)
| ~ releasedAt(X2,plus(n1,X3))
| ~ happens(X1,X3) ),
inference(spm,[status(thm)],[149,208,theory(equality)]) ).
cnf(421,plain,
( n0 = X1
| overflow = esk6_2(X2,X1)
| releasedAt(X2,plus(X1,n1))
| ~ releasedAt(X2,X1) ),
inference(spm,[status(thm)],[98,144,theory(equality)]) ).
cnf(422,plain,
( tapOn = esk6_2(X1,X2)
| overflow = esk6_2(X1,X2)
| releasedAt(X1,plus(X2,n1))
| ~ releasedAt(X1,X2) ),
inference(spm,[status(thm)],[101,144,theory(equality)]) ).
cnf(427,plain,
( tapOn = X1
| overflow = X1
| X3 != filling
| ~ epred1_3(X3,X2,X1) ),
inference(spm,[status(thm)],[78,291,theory(equality)]) ).
cnf(440,plain,
( n0 = esk4_3(X1,X2,X3)
| overflow = esk3_3(X1,X2,X3)
| ~ startedIn(X1,X3,X2) ),
inference(spm,[status(thm)],[98,118,theory(equality)]) ).
cnf(447,plain,
( tapOn = esk8_3(X1,X2,X3)
| overflow = esk8_3(X1,X2,X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[101,171,theory(equality)]) ).
cnf(453,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)],[92,115,theory(equality)]) ).
cnf(454,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)],[453,208,theory(equality)]) ).
cnf(455,plain,
( n0 = X1
| overflow = esk1_2(X2,X1)
| releasedAt(X2,X1)
| ~ releasedAt(X2,plus(X1,n1)) ),
inference(spm,[status(thm)],[98,89,theory(equality)]) ).
cnf(464,plain,
( epred1_3(X1,X2,X3)
| filling = X5
| overflow = X4
| waterLevel(esk10_3(X4,X2,X5)) != X1
| overflow != X3
| ~ epred1_3(X5,X2,X4) ),
inference(spm,[status(thm)],[302,279,theory(equality)]) ).
cnf(468,plain,
( overflow = esk8_3(X1,X2,X3)
| tapOff = esk8_3(X1,X2,X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[128,168,theory(equality)]) ).
cnf(469,plain,
( tapOn = esk1_2(X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[158,88,theory(equality)]) ).
cnf(472,plain,
( tapOn = X1
| overflow = X1
| holdsAt(X3,X2)
| filling = X3
| ~ epred1_3(X3,X2,X1) ),
inference(spm,[status(thm)],[297,273,theory(equality)]) ).
cnf(478,plain,
( ~ terminates(X1,X2,X3)
| ~ releasedAt(X2,plus(n1,X3))
| ~ happens(X1,X3) ),
inference(spm,[status(thm)],[148,208,theory(equality)]) ).
cnf(480,plain,
( n0 = X1
| overflow = esk5_2(X2,X1)
| holdsAt(X2,plus(X1,n1))
| releasedAt(X2,plus(X1,n1))
| ~ holdsAt(X2,X1) ),
inference(spm,[status(thm)],[98,138,theory(equality)]) ).
cnf(481,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)],[101,138,theory(equality)]) ).
cnf(482,plain,
( n0 = X1
| holdsAt(filling,X1)
| holdsAt(X2,plus(X1,n1))
| releasedAt(X2,plus(X1,n1))
| ~ holdsAt(X2,X1) ),
inference(spm,[status(thm)],[99,138,theory(equality)]) ).
cnf(484,plain,
( n0 = X1
| holdsAt(waterLevel(n3),X1)
| holdsAt(X2,plus(X1,n1))
| releasedAt(X2,plus(X1,n1))
| ~ holdsAt(X2,X1) ),
inference(spm,[status(thm)],[100,138,theory(equality)]) ).
cnf(485,plain,
( tapOn = esk5_2(X1,X2)
| holdsAt(waterLevel(n3),X2)
| holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[103,138,theory(equality)]) ).
cnf(487,plain,
( ~ holdsAt(X2,plus(X3,n1))
| ~ happens(X1,X3)
| overflow != X1
| filling != X2 ),
inference(spm,[status(thm)],[175,123,theory(equality)]) ).
cnf(531,plain,
( tapOn = esk2_2(X1,X2)
| overflow = esk2_2(X1,X2)
| holdsAt(X1,X2)
| releasedAt(X1,plus(X2,n1))
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[101,109,theory(equality)]) ).
cnf(532,plain,
( n0 = X1
| holdsAt(filling,X1)
| holdsAt(X2,X1)
| releasedAt(X2,plus(X1,n1))
| ~ holdsAt(X2,plus(X1,n1)) ),
inference(spm,[status(thm)],[99,109,theory(equality)]) ).
cnf(545,plain,
( startedIn(X1,X2,X3)
| ~ less(X4,X3)
| ~ less(X1,X4)
| ~ happens(X5,X4)
| ~ epred1_3(X2,X4,X5) ),
inference(spm,[status(thm)],[119,178,theory(equality)]) ).
cnf(639,plain,
less(n2,n3),
inference(spm,[status(thm)],[256,303,theory(equality)]) ).
cnf(641,plain,
less(n0,n1),
inference(spm,[status(thm)],[248,303,theory(equality)]) ).
cnf(642,plain,
less(n1,n2),
inference(spm,[status(thm)],[252,303,theory(equality)]) ).
cnf(651,plain,
~ less(n2,n1),
inference(spm,[status(thm)],[205,642,theory(equality)]) ).
cnf(685,plain,
( esk9_3(X1,X2,n1) = n0
| ~ stoppedIn(X1,X2,n1) ),
inference(spm,[status(thm)],[365,169,theory(equality)]) ).
cnf(700,plain,
( releasedAt(X1,X2)
| X1 != filling
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[368,88,theory(equality)]) ).
cnf(840,plain,
( esk9_3(X1,X2,n2) = n1
| less(esk9_3(X1,X2,n2),n1)
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[358,169,theory(equality)]) ).
cnf(1009,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| ~ happens(X3,X2)
| tapOn != X3 ),
inference(spm,[status(thm)],[76,366,theory(equality)]) ).
cnf(1305,plain,
( less(X1,n0)
| ~ stoppedIn(X1,X2,n1) ),
inference(spm,[status(thm)],[170,685,theory(equality)]) ).
cnf(1311,plain,
~ stoppedIn(X1,X2,n1),
inference(sr,[status(thm)],[1305,245,theory(equality)]) ).
cnf(1314,plain,
( esk10_3(X1,X2,waterLevel(X3)) = X3
| overflow = X1
| filling = waterLevel(X3)
| ~ epred1_3(waterLevel(X3),X2,X1) ),
inference(er,[status(thm)],[399,theory(equality)]) ).
cnf(1322,plain,
( esk10_3(X1,X2,waterLevel(X3)) = X3
| overflow = X1
| ~ epred1_3(waterLevel(X3),X2,X1) ),
inference(sr,[status(thm)],[1314,78,theory(equality)]) ).
cnf(1438,plain,
( holdsAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| filling != X1
| tapOn != X3 ),
inference(spm,[status(thm)],[404,300,theory(equality)]) ).
cnf(1453,plain,
( epred1_3(waterLevel(X1),X2,X3)
| tapOff != X3
| ~ holdsAt(waterLevel(X1),X2)
| tapOn != X4 ),
inference(spm,[status(thm)],[408,366,theory(equality)]) ).
cnf(1591,plain,
( ~ releasedAt(X2,n2)
| ~ happens(X1,n1)
| ~ epred1_3(X2,n1,X1) ),
inference(spm,[status(thm)],[418,178,theory(equality)]) ).
cnf(1610,plain,
( ~ initiates(X1,X2,n2)
| ~ releasedAt(X2,n3)
| ~ happens(X1,n2) ),
inference(spm,[status(thm)],[419,188,theory(equality)]) ).
cnf(1612,plain,
( ~ initiates(X1,X2,n0)
| ~ releasedAt(X2,n1)
| ~ happens(X1,n0) ),
inference(spm,[status(thm)],[419,317,theory(equality)]) ).
cnf(2002,plain,
( releasedAt(X1,X2)
| X1 != filling
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[700,208,theory(equality)]) ).
cnf(2077,plain,
( releasedAt(X1,n0)
| X1 != filling
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[2002,317,theory(equality)]) ).
cnf(2086,plain,
~ releasedAt(filling,n1),
inference(spm,[status(thm)],[206,2077,theory(equality)]) ).
cnf(2344,plain,
( holdsAt(X1,plus(n1,esk4_3(X2,X3,X1)))
| ~ startedIn(X2,X1,X3) ),
inference(csr,[status(thm)],[454,118]) ).
cnf(2696,plain,
( overflow = X1
| filling = X2
| epred1_3(waterLevel(esk10_3(X1,X3,X2)),X3,X4)
| overflow != X4
| ~ epred1_3(X2,X3,X1) ),
inference(er,[status(thm)],[464,theory(equality)]) ).
cnf(2833,plain,
( tapOff = overflow
| tapOff = tapOn
| esk8_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[447,468,theory(equality)]) ).
cnf(2835,plain,
( tapOff = tapOn
| esk8_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[2833,73,theory(equality)]) ).
cnf(2836,plain,
( esk8_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[2835,183,theory(equality)]) ).
cnf(2860,plain,
( releasedAt(X1,X2)
| happens(tapOn,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[89,469,theory(equality)]) ).
cnf(2862,plain,
( tapOn = overflow
| n0 = X2
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[455,469,theory(equality)]) ).
cnf(2863,plain,
( n0 = X2
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(sr,[status(thm)],[2862,150,theory(equality)]) ).
cnf(2960,plain,
( tapOn = X1
| overflow = X1
| holdsAt(X3,X2)
| ~ epred1_3(X3,X2,X1) ),
inference(csr,[status(thm)],[472,427]) ).
cnf(2963,plain,
( overflow = X1
| tapOn = X1
| holdsAt(X2,n0)
| waterLevel(n0) != X2
| tapOff != X1 ),
inference(spm,[status(thm)],[2960,405,theory(equality)]) ).
cnf(2972,plain,
( n0 = X1
| releasedAt(X2,X1)
| ~ releasedAt(X2,plus(n1,X1)) ),
inference(spm,[status(thm)],[2863,208,theory(equality)]) ).
cnf(3092,plain,
( ~ terminates(X1,X2,n2)
| ~ releasedAt(X2,n3)
| ~ happens(X1,n2) ),
inference(spm,[status(thm)],[478,188,theory(equality)]) ).
cnf(3204,plain,
( holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| happens(tapOn,X2)
| esk5_2(X1,X2) = overflow
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[138,481,theory(equality)]) ).
cnf(3205,plain,
( terminates(tapOn,X1,X2)
| holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| esk5_2(X1,X2) = overflow
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[137,481,theory(equality)]) ).
cnf(3234,plain,
( releasedAt(X1,n1)
| n0 = n1
| holdsAt(X1,plus(n1,n1))
| holdsAt(filling,n1)
| X1 != filling
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[2002,482,theory(equality)]) ).
cnf(3240,plain,
( releasedAt(X1,n1)
| n0 = n1
| holdsAt(X1,n2)
| holdsAt(filling,n1)
| X1 != filling
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[3234,189,theory(equality)]) ).
cnf(3292,plain,
( ~ releasedAt(X2,n3)
| ~ happens(X1,n2)
| ~ epred1_3(X2,n2,X1) ),
inference(spm,[status(thm)],[1610,178,theory(equality)]) ).
cnf(3299,plain,
( n0 = X1
| holdsAt(X2,plus(n1,X1))
| holdsAt(waterLevel(n3),X1)
| releasedAt(X2,plus(n1,X1))
| ~ holdsAt(X2,X1) ),
inference(spm,[status(thm)],[484,208,theory(equality)]) ).
cnf(3304,plain,
( releasedAt(X1,X2)
| n0 = X2
| holdsAt(X1,plus(X2,n1))
| holdsAt(waterLevel(n3),X2)
| X1 != filling
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[700,484,theory(equality)]) ).
cnf(3383,plain,
( ~ releasedAt(X2,n1)
| ~ happens(X1,n0)
| ~ epred1_3(X2,n0,X1) ),
inference(spm,[status(thm)],[1612,178,theory(equality)]) ).
cnf(3442,plain,
( overflow != X1
| filling != X2
| ~ holdsAt(X2,n2)
| ~ happens(X1,n1) ),
inference(spm,[status(thm)],[487,189,theory(equality)]) ).
cnf(3443,plain,
( overflow != X1
| filling != X2
| ~ holdsAt(X2,plus(n1,X3))
| ~ happens(X1,X3) ),
inference(spm,[status(thm)],[487,208,theory(equality)]) ).
fof(3455,plain,
( ~ epred18_0
<=> ! [X1] :
( ~ happens(X1,n1)
| overflow != X1 ) ),
introduced(definition),
[split] ).
cnf(3456,plain,
( epred18_0
| ~ happens(X1,n1)
| overflow != X1 ),
inference(split_equiv,[status(thm)],[3455]) ).
fof(3457,plain,
( ~ epred19_0
<=> ! [X2] :
( ~ holdsAt(X2,n2)
| filling != X2 ) ),
introduced(definition),
[split] ).
cnf(3458,plain,
( epred19_0
| ~ holdsAt(X2,n2)
| filling != X2 ),
inference(split_equiv,[status(thm)],[3457]) ).
cnf(3459,plain,
( ~ epred19_0
| ~ epred18_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[3442,3455,theory(equality)]),3457,theory(equality)]),
[split] ).
cnf(3461,plain,
( epred18_0
| overflow != X1
| ~ holdsAt(waterLevel(n3),n1)
| ~ holdsAt(filling,n1) ),
inference(spm,[status(thm)],[3456,96,theory(equality)]) ).
cnf(3462,plain,
( epred18_0
| releasedAt(X1,plus(n1,n1))
| overflow != esk6_2(X1,n1)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[3456,144,theory(equality)]) ).
cnf(3464,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)],[3456,138,theory(equality)]) ).
cnf(3465,plain,
( epred18_0
| holdsAt(X1,n1)
| releasedAt(X1,plus(n1,n1))
| overflow != esk2_2(X1,n1)
| ~ holdsAt(X1,plus(n1,n1)) ),
inference(spm,[status(thm)],[3456,109,theory(equality)]) ).
cnf(3466,plain,
( epred18_0
| releasedAt(X1,n2)
| overflow != esk6_2(X1,n1)
| ~ releasedAt(X1,n1) ),
inference(rw,[status(thm)],[3462,189,theory(equality)]) ).
cnf(3468,plain,
( epred18_0
| holdsAt(X1,n2)
| releasedAt(X1,plus(n1,n1))
| overflow != esk5_2(X1,n1)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[3464,189,theory(equality)]) ).
cnf(3469,plain,
( epred18_0
| holdsAt(X1,n2)
| releasedAt(X1,n2)
| overflow != esk5_2(X1,n1)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[3468,189,theory(equality)]) ).
cnf(3470,plain,
( epred18_0
| holdsAt(X1,n1)
| releasedAt(X1,n2)
| overflow != esk2_2(X1,n1)
| ~ holdsAt(X1,plus(n1,n1)) ),
inference(rw,[status(thm)],[3465,189,theory(equality)]) ).
cnf(3471,plain,
( epred18_0
| holdsAt(X1,n1)
| releasedAt(X1,n2)
| overflow != esk2_2(X1,n1)
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[3470,189,theory(equality)]) ).
cnf(3926,plain,
( ~ releasedAt(X2,n3)
| ~ happens(X1,n2)
| overflow != X1
| filling != X2 ),
inference(spm,[status(thm)],[3092,123,theory(equality)]) ).
fof(3933,plain,
( ~ epred26_0
<=> ! [X2] :
( filling != X2
| ~ releasedAt(X2,n3) ) ),
introduced(definition),
[split] ).
cnf(3934,plain,
( epred26_0
| filling != X2
| ~ releasedAt(X2,n3) ),
inference(split_equiv,[status(thm)],[3933]) ).
fof(3935,plain,
( ~ epred27_0
<=> ! [X1] :
( overflow != X1
| ~ happens(X1,n2) ) ),
introduced(definition),
[split] ).
cnf(3936,plain,
( epred27_0
| overflow != X1
| ~ happens(X1,n2) ),
inference(split_equiv,[status(thm)],[3935]) ).
cnf(3937,plain,
( ~ epred27_0
| ~ epred26_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[3926,3933,theory(equality)]),3935,theory(equality)]),
[split] ).
cnf(3961,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)],[3936,138,theory(equality)]) ).
cnf(3965,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)],[3961,208,theory(equality)]),188,theory(equality)]) ).
cnf(3966,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)],[3965,208,theory(equality)]),188,theory(equality)]) ).
cnf(4183,plain,
( ~ releasedAt(X1,n1)
| ~ happens(X2,n0)
| filling != X1
| tapOn != X2 ),
inference(spm,[status(thm)],[3383,300,theory(equality)]) ).
fof(4191,plain,
( ~ epred42_0
<=> ! [X1] :
( filling != X1
| ~ releasedAt(X1,n1) ) ),
introduced(definition),
[split] ).
cnf(4192,plain,
( epred42_0
| filling != X1
| ~ releasedAt(X1,n1) ),
inference(split_equiv,[status(thm)],[4191]) ).
fof(4193,plain,
( ~ epred43_0
<=> ! [X2] :
( tapOn != X2
| ~ happens(X2,n0) ) ),
introduced(definition),
[split] ).
cnf(4194,plain,
( epred43_0
| tapOn != X2
| ~ happens(X2,n0) ),
inference(split_equiv,[status(thm)],[4193]) ).
cnf(4195,plain,
( ~ epred43_0
| ~ epred42_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[4183,4191,theory(equality)]),4193,theory(equality)]),
[split] ).
cnf(4222,plain,
( epred43_0
| tapOn != X1 ),
inference(spm,[status(thm)],[4194,97,theory(equality)]) ).
cnf(4239,plain,
epred43_0,
inference(er,[status(thm)],[4222,theory(equality)]) ).
cnf(4241,plain,
( $false
| ~ epred42_0 ),
inference(rw,[status(thm)],[4195,4239,theory(equality)]) ).
cnf(4242,plain,
~ epred42_0,
inference(cn,[status(thm)],[4241,theory(equality)]) ).
cnf(4698,plain,
( holdsAt(X1,X2)
| releasedAt(X1,plus(X2,n1))
| happens(tapOn,X2)
| esk2_2(X1,X2) = overflow
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[109,531,theory(equality)]) ).
cnf(4699,plain,
( holdsAt(X1,X2)
| initiates(tapOn,X1,X2)
| releasedAt(X1,plus(X2,n1))
| esk2_2(X1,X2) = overflow
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[108,531,theory(equality)]) ).
cnf(4776,plain,
( n0 = n1
| releasedAt(X1,n1)
| holdsAt(filling,n1)
| holdsAt(X1,n1)
| ~ holdsAt(X1,plus(n1,n1)) ),
inference(spm,[status(thm)],[2972,532,theory(equality)]) ).
cnf(4781,plain,
( n0 = n1
| releasedAt(X1,n1)
| holdsAt(filling,n1)
| holdsAt(X1,n1)
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[4776,189,theory(equality)]) ).
cnf(5049,plain,
( startedIn(X1,X2,X3)
| ~ less(X4,X3)
| ~ less(X1,X4)
| ~ happens(X5,X4)
| filling != X2
| tapOn != X5 ),
inference(spm,[status(thm)],[545,300,theory(equality)]) ).
cnf(5898,plain,
( n0 = n1
| holdsAt(filling,n1)
| ~ holdsAt(filling,n2) ),
inference(spm,[status(thm)],[2086,4781,theory(equality)]) ).
cnf(5919,plain,
( tapOn = tapOff
| overflow = tapOff
| holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(er,[status(thm)],[2963,theory(equality)]) ).
cnf(5920,plain,
( tapOff = overflow
| holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(sr,[status(thm)],[5919,183,theory(equality)]) ).
cnf(5921,plain,
( holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(sr,[status(thm)],[5920,73,theory(equality)]) ).
cnf(5927,plain,
( trajectory(filling,n0,waterLevel(X1),X2)
| plus(X3,X2) != X1
| waterLevel(n0) != waterLevel(X3) ),
inference(spm,[status(thm)],[182,5921,theory(equality)]) ).
cnf(6226,plain,
( overflow != X1
| filling != X2
| ~ happens(X1,esk4_3(X3,X4,X2))
| ~ startedIn(X3,X2,X4) ),
inference(spm,[status(thm)],[3443,2344,theory(equality)]) ).
cnf(6365,plain,
( releasedAt(X1,X2)
| happens(tapOn,X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[2860,208,theory(equality)]) ).
cnf(6585,plain,
( releasedAt(X1,n0)
| happens(tapOn,n0)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[6365,317,theory(equality)]) ).
cnf(6871,plain,
( happens(tapOn,n0)
| ~ releasedAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[210,6585,theory(equality)]) ).
cnf(7348,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| tapOn != X3
| n0 != X2 ),
inference(spm,[status(thm)],[1009,97,theory(equality)]) ).
cnf(7512,plain,
( overflow != esk3_3(X1,X2,X3)
| filling != X3
| ~ startedIn(X1,X3,X2) ),
inference(spm,[status(thm)],[6226,118,theory(equality)]) ).
cnf(7615,plain,
( esk4_3(X1,X2,X3) = n0
| filling != X3
| ~ startedIn(X1,X3,X2) ),
inference(spm,[status(thm)],[7512,440,theory(equality)]) ).
cnf(7618,plain,
( less(X1,n0)
| ~ startedIn(X1,X3,X2)
| filling != X3 ),
inference(spm,[status(thm)],[117,7615,theory(equality)]) ).
cnf(7661,plain,
( ~ startedIn(X1,X3,X2)
| filling != X3 ),
inference(sr,[status(thm)],[7618,245,theory(equality)]) ).
cnf(8615,plain,
( epred18_0
| releasedAt(X1,n2)
| n0 = n1
| releasedAt(X1,plus(n1,n1))
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[3466,421,theory(equality)]) ).
cnf(8619,plain,
( epred18_0
| releasedAt(X1,n2)
| n0 = n1
| releasedAt(X1,n2)
| ~ releasedAt(X1,n1) ),
inference(rw,[status(thm)],[8615,189,theory(equality)]) ).
cnf(8620,plain,
( epred18_0
| releasedAt(X1,n2)
| n0 = n1
| ~ releasedAt(X1,n1) ),
inference(cn,[status(thm)],[8619,theory(equality)]) ).
cnf(8708,plain,
( trajectory(filling,n0,waterLevel(plus(X1,X2)),X2)
| waterLevel(n0) != waterLevel(X1) ),
inference(er,[status(thm)],[5927,theory(equality)]) ).
cnf(8719,plain,
( trajectory(filling,n0,waterLevel(X1),X2)
| waterLevel(n0) != waterLevel(X3)
| plus(X2,X3) != X1 ),
inference(spm,[status(thm)],[5927,208,theory(equality)]) ).
cnf(8840,plain,
trajectory(filling,n0,waterLevel(n2),n2),
inference(spm,[status(thm)],[8708,190,theory(equality)]) ).
cnf(8845,plain,
( trajectory(filling,n0,waterLevel(plus(X2,X1)),X2)
| waterLevel(n0) != waterLevel(X1) ),
inference(spm,[status(thm)],[8708,208,theory(equality)]) ).
cnf(8851,plain,
( holdsAt(waterLevel(n2),plus(n0,n2))
| stoppedIn(n0,filling,plus(n0,n2))
| ~ less(n0,n2)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(spm,[status(thm)],[83,8840,theory(equality)]) ).
cnf(8852,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,plus(n0,n2))
| ~ less(n0,n2)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(rw,[status(thm)],[8851,190,theory(equality)]) ).
cnf(8853,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ less(n0,n2)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(rw,[status(thm)],[8852,190,theory(equality)]) ).
cnf(8890,plain,
trajectory(filling,n0,waterLevel(n1),n1),
inference(spm,[status(thm)],[8845,317,theory(equality)]) ).
cnf(8897,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)],[83,8890,theory(equality)]) ).
cnf(8898,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)],[8897,208,theory(equality)]),317,theory(equality)]) ).
cnf(8899,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)],[8898,208,theory(equality)]),317,theory(equality)]) ).
cnf(8900,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| $false
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(rw,[status(thm)],[8899,641,theory(equality)]) ).
cnf(8901,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(cn,[status(thm)],[8900,theory(equality)]) ).
cnf(8902,plain,
( holdsAt(waterLevel(n1),n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(sr,[status(thm)],[8901,1311,theory(equality)]) ).
cnf(8928,plain,
( holdsAt(waterLevel(n1),n1)
| ~ happens(X1,n0)
| ~ epred1_3(filling,n0,X1) ),
inference(spm,[status(thm)],[8902,178,theory(equality)]) ).
cnf(8937,plain,
( holdsAt(waterLevel(n1),n1)
| ~ epred1_3(filling,n0,X1)
| tapOn != X1 ),
inference(spm,[status(thm)],[8928,97,theory(equality)]) ).
cnf(8950,plain,
( holdsAt(waterLevel(n1),n1)
| tapOn != X1 ),
inference(spm,[status(thm)],[8937,300,theory(equality)]) ).
cnf(8958,plain,
holdsAt(waterLevel(n1),n1),
inference(er,[status(thm)],[8950,theory(equality)]) ).
cnf(8959,plain,
( X1 = n1
| ~ holdsAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[186,8958,theory(equality)]) ).
cnf(11192,plain,
( trajectory(filling,n0,waterLevel(X1),n1)
| n1 != X1 ),
inference(spm,[status(thm)],[8719,317,theory(equality)]) ).
cnf(11204,plain,
( holdsAt(waterLevel(X1),plus(n0,n1))
| stoppedIn(n0,filling,plus(n0,n1))
| ~ less(n0,n1)
| ~ initiates(X2,filling,n0)
| ~ happens(X2,n0)
| n1 != X1 ),
inference(spm,[status(thm)],[83,11192,theory(equality)]) ).
cnf(11207,plain,
( holdsAt(waterLevel(X1),n1)
| stoppedIn(n0,filling,plus(n0,n1))
| ~ less(n0,n1)
| ~ initiates(X2,filling,n0)
| ~ happens(X2,n0)
| n1 != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11204,208,theory(equality)]),317,theory(equality)]) ).
cnf(11208,plain,
( holdsAt(waterLevel(X1),n1)
| stoppedIn(n0,filling,n1)
| ~ less(n0,n1)
| ~ initiates(X2,filling,n0)
| ~ happens(X2,n0)
| n1 != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11207,208,theory(equality)]),317,theory(equality)]) ).
cnf(11209,plain,
( holdsAt(waterLevel(X1),n1)
| stoppedIn(n0,filling,n1)
| $false
| ~ initiates(X2,filling,n0)
| ~ happens(X2,n0)
| n1 != X1 ),
inference(rw,[status(thm)],[11208,641,theory(equality)]) ).
cnf(11210,plain,
( holdsAt(waterLevel(X1),n1)
| stoppedIn(n0,filling,n1)
| ~ initiates(X2,filling,n0)
| ~ happens(X2,n0)
| n1 != X1 ),
inference(cn,[status(thm)],[11209,theory(equality)]) ).
cnf(11211,plain,
( holdsAt(waterLevel(X1),n1)
| ~ initiates(X2,filling,n0)
| ~ happens(X2,n0)
| n1 != X1 ),
inference(sr,[status(thm)],[11210,1311,theory(equality)]) ).
cnf(13446,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| n0 != X2 ),
inference(er,[status(thm)],[7348,theory(equality)]) ).
cnf(13521,plain,
( releasedAt(waterLevel(X1),plus(n1,X2))
| n0 != X2 ),
inference(spm,[status(thm)],[13446,208,theory(equality)]) ).
cnf(13525,plain,
( ~ initiates(X1,waterLevel(X2),X3)
| ~ happens(X1,X3)
| n0 != X3 ),
inference(spm,[status(thm)],[149,13446,theory(equality)]) ).
cnf(13878,plain,
( releasedAt(waterLevel(X1),n3)
| n0 != n2 ),
inference(spm,[status(thm)],[13521,188,theory(equality)]) ).
cnf(13880,plain,
releasedAt(waterLevel(X1),n1),
inference(spm,[status(thm)],[13521,317,theory(equality)]) ).
cnf(13913,plain,
( esk9_3(X1,X2,n2) = n0
| esk9_3(X1,X2,n2) = n1
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[365,840,theory(equality)]) ).
cnf(13940,plain,
( n0 != X1
| ~ happens(X2,X1)
| ~ epred1_3(waterLevel(X3),X1,X2) ),
inference(spm,[status(thm)],[13525,178,theory(equality)]) ).
cnf(13991,plain,
( releasedAt(X2,n1)
| ~ releases(X1,X2,X3) ),
inference(spm,[status(thm)],[13880,157,theory(equality)]) ).
cnf(14084,plain,
( happens(tapOn,n0)
| $false ),
inference(rw,[status(thm)],[6871,13880,theory(equality)]) ).
cnf(14085,plain,
happens(tapOn,n0),
inference(cn,[status(thm)],[14084,theory(equality)]) ).
cnf(14366,plain,
( releasedAt(X1,n1)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[13991,88,theory(equality)]) ).
cnf(15207,plain,
( ~ happens(X2,n0)
| waterLevel(n0) != waterLevel(X1)
| overflow != X2 ),
inference(spm,[status(thm)],[13940,410,theory(equality)]) ).
fof(15235,plain,
( ~ epred100_0
<=> ! [X2] :
( overflow != X2
| ~ happens(X2,n0) ) ),
introduced(definition),
[split] ).
cnf(15236,plain,
( epred100_0
| overflow != X2
| ~ happens(X2,n0) ),
inference(split_equiv,[status(thm)],[15235]) ).
fof(15237,plain,
( ~ epred101_0
<=> ! [X1] : waterLevel(n0) != waterLevel(X1) ),
introduced(definition),
[split] ).
cnf(15238,plain,
( epred101_0
| waterLevel(n0) != waterLevel(X1) ),
inference(split_equiv,[status(thm)],[15237]) ).
cnf(15239,plain,
( ~ epred101_0
| ~ epred100_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[15207,15235,theory(equality)]),15237,theory(equality)]),
[split] ).
cnf(15269,plain,
epred101_0,
inference(er,[status(thm)],[15238,theory(equality)]) ).
cnf(15321,plain,
( $false
| ~ epred100_0 ),
inference(rw,[status(thm)],[15239,15269,theory(equality)]) ).
cnf(15322,plain,
~ epred100_0,
inference(cn,[status(thm)],[15321,theory(equality)]) ).
cnf(15376,plain,
( overflow != X2
| ~ happens(X2,n0) ),
inference(sr,[status(thm)],[15236,15322,theory(equality)]) ).
cnf(15383,plain,
( holdsAt(X1,n0)
| releasedAt(X1,plus(n0,n1))
| overflow != esk2_2(X1,n0)
| ~ holdsAt(X1,plus(n0,n1)) ),
inference(spm,[status(thm)],[15376,109,theory(equality)]) ).
cnf(15388,plain,
( holdsAt(X1,n0)
| releasedAt(X1,n1)
| overflow != esk2_2(X1,n0)
| ~ holdsAt(X1,plus(n0,n1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15383,208,theory(equality)]),317,theory(equality)]) ).
cnf(15389,plain,
( holdsAt(X1,n0)
| releasedAt(X1,n1)
| overflow != esk2_2(X1,n0)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15388,208,theory(equality)]),317,theory(equality)]) ).
cnf(18191,plain,
( holdsAt(X1,plus(n0,n1))
| filling != X1 ),
inference(spm,[status(thm)],[1438,14085,theory(equality)]) ).
cnf(18202,plain,
( holdsAt(X1,n1)
| filling != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18191,208,theory(equality)]),317,theory(equality)]) ).
cnf(18536,plain,
( epred1_3(waterLevel(X1),X2,X3)
| tapOff != X3
| ~ holdsAt(waterLevel(X1),X2) ),
inference(er,[status(thm)],[1453,theory(equality)]) ).
cnf(19036,plain,
( releasedAt(X1,n1)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[14366,189,theory(equality)]) ).
cnf(19037,plain,
( releasedAt(X1,n1)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[14366,208,theory(equality)]) ).
cnf(20241,plain,
( releasedAt(X1,n1)
| releasedAt(X1,n2)
| ~ releasedAt(X1,n3) ),
inference(spm,[status(thm)],[19037,188,theory(equality)]) ).
cnf(20290,plain,
( releasedAt(X1,n1)
| ~ releasedAt(X1,n3) ),
inference(csr,[status(thm)],[20241,19036]) ).
cnf(23636,plain,
( less(X1,n0)
| esk9_3(X1,X2,n2) = n1
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[170,13913,theory(equality)]) ).
cnf(23686,plain,
( esk9_3(X1,X2,n2) = n1
| ~ stoppedIn(X1,X2,n2) ),
inference(sr,[status(thm)],[23636,245,theory(equality)]) ).
cnf(23711,plain,
( happens(esk8_3(X1,X2,n2),n1)
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[171,23686,theory(equality)]) ).
cnf(44366,plain,
( filling = waterLevel(X1)
| overflow = X2
| epred1_3(waterLevel(X1),X3,X4)
| overflow != X4
| ~ epred1_3(waterLevel(X1),X3,X2) ),
inference(spm,[status(thm)],[2696,1322,theory(equality)]) ).
cnf(44448,plain,
( overflow = X2
| epred1_3(waterLevel(X1),X3,X4)
| overflow != X4
| ~ epred1_3(waterLevel(X1),X3,X2) ),
inference(sr,[status(thm)],[44366,78,theory(equality)]) ).
cnf(44504,plain,
( overflow = X1
| epred1_3(waterLevel(X2),X3,X4)
| overflow != X4
| tapOff != X1
| ~ holdsAt(waterLevel(X2),X3) ),
inference(spm,[status(thm)],[44448,18536,theory(equality)]) ).
cnf(58672,plain,
( n0 = n1
| holdsAt(filling,n1)
| holdsAt(X1,n2)
| releasedAt(X1,n1)
| X1 != filling ),
inference(csr,[status(thm)],[3240,18202]) ).
cnf(58673,plain,
( n0 = n1
| holdsAt(filling,n1)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[2086,58672,theory(equality)]) ).
cnf(58913,plain,
( n0 = n1
| holdsAt(filling,n1) ),
inference(csr,[status(thm)],[58673,5898]) ).
cnf(60817,plain,
( n0 = n2
| holdsAt(X1,n3)
| holdsAt(waterLevel(n3),n2)
| releasedAt(X1,n3)
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[3299,188,theory(equality)]) ).
cnf(61447,plain,
( n0 = n1
| holdsAt(filling,plus(n1,n1))
| holdsAt(waterLevel(n3),n1)
| ~ holdsAt(filling,n1) ),
inference(spm,[status(thm)],[2086,3304,theory(equality)]) ).
cnf(61824,plain,
( n0 = n1
| holdsAt(filling,n2)
| holdsAt(waterLevel(n3),n1)
| ~ holdsAt(filling,n1) ),
inference(rw,[status(thm)],[61447,189,theory(equality)]) ).
cnf(62309,plain,
( n0 = n1
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(csr,[status(thm)],[61824,58913]) ).
cnf(62321,plain,
( epred18_0
| n0 = n1
| holdsAt(filling,n2)
| overflow != X1
| ~ holdsAt(filling,n1) ),
inference(spm,[status(thm)],[3461,62309,theory(equality)]) ).
cnf(62333,plain,
( n3 = n1
| n0 = n1
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[8959,62309,theory(equality)]) ).
cnf(62452,plain,
( epred19_0
| n0 = n1
| n3 = n1 ),
inference(spm,[status(thm)],[3458,62333,theory(equality)]) ).
cnf(63885,plain,
( less(n2,n1)
| n0 = n1
| epred19_0 ),
inference(spm,[status(thm)],[639,62452,theory(equality)]) ).
cnf(64310,plain,
( n0 = n1
| epred19_0 ),
inference(sr,[status(thm)],[63885,651,theory(equality)]) ).
cnf(64356,plain,
( less(n1,n1)
| epred19_0 ),
inference(spm,[status(thm)],[641,64310,theory(equality)]) ).
cnf(64487,plain,
epred19_0,
inference(sr,[status(thm)],[64356,305,theory(equality)]) ).
cnf(64505,plain,
( $false
| ~ epred18_0 ),
inference(rw,[status(thm)],[3459,64487,theory(equality)]) ).
cnf(64506,plain,
~ epred18_0,
inference(cn,[status(thm)],[64505,theory(equality)]) ).
cnf(67928,plain,
( n0 = n1
| holdsAt(filling,n2)
| overflow != X1
| ~ holdsAt(filling,n1) ),
inference(sr,[status(thm)],[62321,64506,theory(equality)]) ).
cnf(67929,plain,
( n0 = n1
| holdsAt(filling,n2)
| overflow != X1 ),
inference(csr,[status(thm)],[67928,58913]) ).
cnf(67930,plain,
( n0 = n1
| holdsAt(filling,n2) ),
inference(er,[status(thm)],[67929,theory(equality)]) ).
cnf(70176,plain,
( overflow = tapOff
| epred1_3(waterLevel(X1),X2,X3)
| overflow != X3
| ~ holdsAt(waterLevel(X1),X2) ),
inference(er,[status(thm)],[44504,theory(equality)]) ).
cnf(70177,plain,
( epred1_3(waterLevel(X1),X2,X3)
| overflow != X3
| ~ holdsAt(waterLevel(X1),X2) ),
inference(sr,[status(thm)],[70176,73,theory(equality)]) ).
cnf(70232,plain,
( ~ releasedAt(waterLevel(X1),n2)
| ~ happens(X2,n1)
| overflow != X2
| ~ holdsAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[1591,70177,theory(equality)]) ).
cnf(70239,plain,
( ~ releasedAt(waterLevel(X1),n3)
| ~ happens(X2,n2)
| overflow != X2
| ~ holdsAt(waterLevel(X1),n2) ),
inference(spm,[status(thm)],[3292,70177,theory(equality)]) ).
fof(70339,plain,
( ~ epred182_0
<=> ! [X1] :
( ~ holdsAt(waterLevel(X1),n1)
| ~ releasedAt(waterLevel(X1),n2) ) ),
introduced(definition),
[split] ).
cnf(70340,plain,
( epred182_0
| ~ holdsAt(waterLevel(X1),n1)
| ~ releasedAt(waterLevel(X1),n2) ),
inference(split_equiv,[status(thm)],[70339]) ).
fof(70341,plain,
( ~ epred183_0
<=> ! [X2] :
( overflow != X2
| ~ happens(X2,n1) ) ),
introduced(definition),
[split] ).
cnf(70342,plain,
( epred183_0
| overflow != X2
| ~ happens(X2,n1) ),
inference(split_equiv,[status(thm)],[70341]) ).
cnf(70343,plain,
( ~ epred183_0
| ~ epred182_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[70232,70339,theory(equality)]),70341,theory(equality)]),
[split] ).
fof(70355,plain,
( ~ epred186_0
<=> ! [X1] :
( ~ holdsAt(waterLevel(X1),n2)
| ~ releasedAt(waterLevel(X1),n3) ) ),
introduced(definition),
[split] ).
cnf(70356,plain,
( epred186_0
| ~ holdsAt(waterLevel(X1),n2)
| ~ releasedAt(waterLevel(X1),n3) ),
inference(split_equiv,[status(thm)],[70355]) ).
fof(70357,plain,
( ~ epred187_0
<=> ! [X2] :
( overflow != X2
| ~ happens(X2,n2) ) ),
introduced(definition),
[split] ).
cnf(70358,plain,
( epred187_0
| overflow != X2
| ~ happens(X2,n2) ),
inference(split_equiv,[status(thm)],[70357]) ).
cnf(70359,plain,
( ~ epred187_0
| ~ epred186_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[70239,70355,theory(equality)]),70357,theory(equality)]),
[split] ).
cnf(70433,plain,
( epred183_0
| releasedAt(X1,plus(n1,n1))
| overflow != esk6_2(X1,n1)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[70342,144,theory(equality)]) ).
cnf(70439,plain,
( epred183_0
| releasedAt(X1,n2)
| overflow != esk6_2(X1,n1)
| ~ releasedAt(X1,n1) ),
inference(rw,[status(thm)],[70433,189,theory(equality)]) ).
cnf(70446,plain,
( epred187_0
| overflow != X1
| ~ holdsAt(waterLevel(n3),n2)
| ~ holdsAt(filling,n2) ),
inference(spm,[status(thm)],[70358,96,theory(equality)]) ).
cnf(70530,plain,
( epred186_0
| ~ holdsAt(waterLevel(X1),n2)
| n2 != n0 ),
inference(spm,[status(thm)],[70356,13878,theory(equality)]) ).
cnf(71386,plain,
( epred182_0
| n0 = n1
| epred18_0
| ~ holdsAt(waterLevel(X1),n1)
| ~ releasedAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[70340,8620,theory(equality)]) ).
cnf(71433,plain,
( epred182_0
| n0 = n1
| epred18_0
| ~ holdsAt(waterLevel(X1),n1)
| $false ),
inference(rw,[status(thm)],[71386,13880,theory(equality)]) ).
cnf(71434,plain,
( epred182_0
| n0 = n1
| epred18_0
| ~ holdsAt(waterLevel(X1),n1) ),
inference(cn,[status(thm)],[71433,theory(equality)]) ).
cnf(71435,plain,
( epred182_0
| n0 = n1
| ~ holdsAt(waterLevel(X1),n1) ),
inference(sr,[status(thm)],[71434,64506,theory(equality)]) ).
cnf(71488,plain,
( n0 = n1
| epred182_0 ),
inference(spm,[status(thm)],[71435,8958,theory(equality)]) ).
cnf(71519,plain,
( less(n1,n1)
| epred182_0 ),
inference(spm,[status(thm)],[641,71488,theory(equality)]) ).
cnf(71648,plain,
epred182_0,
inference(sr,[status(thm)],[71519,305,theory(equality)]) ).
cnf(71661,plain,
( ~ epred183_0
| $false ),
inference(rw,[status(thm)],[70343,71648,theory(equality)]) ).
cnf(71662,plain,
~ epred183_0,
inference(cn,[status(thm)],[71661,theory(equality)]) ).
cnf(72373,plain,
( releasedAt(X1,n2)
| esk6_2(X1,n1) != overflow
| ~ releasedAt(X1,n1) ),
inference(sr,[status(thm)],[70439,71662,theory(equality)]) ).
cnf(74447,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| esk5_2(X1,n1) != overflow
| ~ holdsAt(X1,n1) ),
inference(sr,[status(thm)],[3469,64506,theory(equality)]) ).
cnf(74453,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| holdsAt(X1,plus(n1,n1))
| releasedAt(X1,plus(n1,n1))
| happens(tapOn,n1)
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[74447,3204,theory(equality)]) ).
cnf(74454,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| terminates(tapOn,X1,n1)
| holdsAt(X1,plus(n1,n1))
| releasedAt(X1,plus(n1,n1))
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[74447,3205,theory(equality)]) ).
cnf(74470,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| holdsAt(X1,n2)
| releasedAt(X1,plus(n1,n1))
| happens(tapOn,n1)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[74453,189,theory(equality)]) ).
cnf(74471,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| holdsAt(X1,n2)
| releasedAt(X1,n2)
| happens(tapOn,n1)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[74470,189,theory(equality)]) ).
cnf(74472,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| happens(tapOn,n1)
| ~ holdsAt(X1,n1) ),
inference(cn,[status(thm)],[74471,theory(equality)]) ).
cnf(74473,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| terminates(tapOn,X1,n1)
| holdsAt(X1,n2)
| releasedAt(X1,plus(n1,n1))
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[74454,189,theory(equality)]) ).
cnf(74474,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| terminates(tapOn,X1,n1)
| holdsAt(X1,n2)
| releasedAt(X1,n2)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[74473,189,theory(equality)]) ).
cnf(74475,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| terminates(tapOn,X1,n1)
| ~ holdsAt(X1,n1) ),
inference(cn,[status(thm)],[74474,theory(equality)]) ).
cnf(74755,plain,
( holdsAt(X1,n1)
| releasedAt(X1,n2)
| esk2_2(X1,n1) != overflow
| ~ holdsAt(X1,n2) ),
inference(sr,[status(thm)],[3471,64506,theory(equality)]) ).
cnf(90486,plain,
( epred27_0
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| n0 = n2
| holdsAt(X1,plus(n2,n1))
| releasedAt(X1,plus(n2,n1))
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[3966,480,theory(equality)]) ).
cnf(90493,plain,
( epred27_0
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| n0 = n2
| holdsAt(X1,n3)
| releasedAt(X1,plus(n2,n1))
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[90486,208,theory(equality)]),188,theory(equality)]) ).
cnf(90494,plain,
( epred27_0
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| n0 = n2
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[90493,208,theory(equality)]),188,theory(equality)]) ).
cnf(90495,plain,
( epred27_0
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| n0 = n2
| ~ holdsAt(X1,n2) ),
inference(cn,[status(thm)],[90494,theory(equality)]) ).
cnf(90558,plain,
( releasedAt(X1,n1)
| n2 = n0
| epred27_0
| holdsAt(X1,n3)
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[20290,90495,theory(equality)]) ).
cnf(95029,plain,
( n2 = n0
| epred27_0
| holdsAt(filling,n3)
| ~ holdsAt(filling,n2) ),
inference(spm,[status(thm)],[2086,90558,theory(equality)]) ).
cnf(95153,plain,
( n2 = n0
| epred27_0
| ~ holdsAt(filling,n2) ),
inference(sr,[status(thm)],[95029,211,theory(equality)]) ).
cnf(95162,plain,
( n2 = n0
| epred27_0
| n0 = n1 ),
inference(spm,[status(thm)],[95153,67930,theory(equality)]) ).
cnf(95173,plain,
( less(n1,n0)
| n0 = n1
| epred27_0 ),
inference(spm,[status(thm)],[642,95162,theory(equality)]) ).
cnf(95536,plain,
( n0 = n1
| epred27_0 ),
inference(sr,[status(thm)],[95173,245,theory(equality)]) ).
cnf(95584,plain,
( less(n1,n1)
| epred27_0 ),
inference(spm,[status(thm)],[641,95536,theory(equality)]) ).
cnf(95713,plain,
epred27_0,
inference(sr,[status(thm)],[95584,305,theory(equality)]) ).
cnf(95796,plain,
( $false
| ~ epred26_0 ),
inference(rw,[status(thm)],[3937,95713,theory(equality)]) ).
cnf(95797,plain,
~ epred26_0,
inference(cn,[status(thm)],[95796,theory(equality)]) ).
cnf(96691,plain,
( releasedAt(X1,n1)
| holdsAt(X1,n2)
| happens(tapOn,n1)
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[19036,74472,theory(equality)]) ).
cnf(97336,plain,
( epred26_0
| n2 = n0
| holdsAt(waterLevel(n3),n2)
| holdsAt(X1,n3)
| filling != X1
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[3934,60817,theory(equality)]) ).
cnf(97386,plain,
( n2 = n0
| holdsAt(waterLevel(n3),n2)
| holdsAt(X1,n3)
| filling != X1
| ~ holdsAt(X1,n2) ),
inference(sr,[status(thm)],[97336,95797,theory(equality)]) ).
cnf(97549,plain,
( n2 = n0
| holdsAt(waterLevel(n3),n2)
| holdsAt(filling,n3)
| n0 = n1 ),
inference(spm,[status(thm)],[97386,67930,theory(equality)]) ).
cnf(97555,plain,
( n2 = n0
| holdsAt(waterLevel(n3),n2)
| n0 = n1 ),
inference(sr,[status(thm)],[97549,211,theory(equality)]) ).
cnf(97659,plain,
( epred187_0
| n0 = n1
| n2 = n0
| overflow != X1
| ~ holdsAt(filling,n2) ),
inference(spm,[status(thm)],[70446,97555,theory(equality)]) ).
cnf(104950,plain,
( n0 = n1
| n2 = n0
| epred187_0
| overflow != X1 ),
inference(csr,[status(thm)],[97659,67930]) ).
cnf(104951,plain,
( n2 = n0
| n0 = n1
| epred187_0 ),
inference(er,[status(thm)],[104950,theory(equality)]) ).
cnf(104955,plain,
( less(n1,n0)
| n0 = n1
| epred187_0 ),
inference(spm,[status(thm)],[642,104951,theory(equality)]) ).
cnf(105244,plain,
( n0 = n1
| epred187_0 ),
inference(sr,[status(thm)],[104955,245,theory(equality)]) ).
cnf(105289,plain,
( less(n1,n1)
| epred187_0 ),
inference(spm,[status(thm)],[641,105244,theory(equality)]) ).
cnf(105421,plain,
epred187_0,
inference(sr,[status(thm)],[105289,305,theory(equality)]) ).
cnf(105477,plain,
( $false
| ~ epred186_0 ),
inference(rw,[status(thm)],[70359,105421,theory(equality)]) ).
cnf(105478,plain,
~ epred186_0,
inference(cn,[status(thm)],[105477,theory(equality)]) ).
cnf(107993,plain,
( epred42_0
| holdsAt(X1,n2)
| happens(tapOn,n1)
| filling != X1
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[4192,96691,theory(equality)]) ).
cnf(108018,plain,
( holdsAt(X1,n2)
| happens(tapOn,n1)
| filling != X1
| ~ holdsAt(X1,n1) ),
inference(sr,[status(thm)],[107993,4242,theory(equality)]) ).
cnf(111183,plain,
( holdsAt(X1,n2)
| happens(tapOn,n1)
| filling != X1 ),
inference(csr,[status(thm)],[108018,18202]) ).
cnf(111184,plain,
( holdsAt(filling,n2)
| happens(tapOn,n1) ),
inference(er,[status(thm)],[111183,theory(equality)]) ).
cnf(111207,plain,
( holdsAt(X1,plus(n1,n1))
| holdsAt(filling,n2)
| filling != X1 ),
inference(spm,[status(thm)],[1438,111184,theory(equality)]) ).
cnf(111226,plain,
( holdsAt(X1,n2)
| holdsAt(filling,n2)
| filling != X1 ),
inference(rw,[status(thm)],[111207,189,theory(equality)]) ).
cnf(111510,plain,
holdsAt(filling,n2),
inference(er,[status(thm)],[111226,theory(equality)]) ).
cnf(138409,plain,
( holdsAt(X1,n1)
| releasedAt(X1,n2)
| releasedAt(X1,plus(n1,n1))
| happens(tapOn,n1)
| ~ holdsAt(X1,n2)
| ~ holdsAt(X1,plus(n1,n1)) ),
inference(spm,[status(thm)],[74755,4698,theory(equality)]) ).
cnf(138423,plain,
( holdsAt(X1,n1)
| releasedAt(X1,n2)
| releasedAt(X1,n2)
| happens(tapOn,n1)
| ~ holdsAt(X1,n2)
| ~ holdsAt(X1,plus(n1,n1)) ),
inference(rw,[status(thm)],[138409,189,theory(equality)]) ).
cnf(138424,plain,
( holdsAt(X1,n1)
| releasedAt(X1,n2)
| releasedAt(X1,n2)
| happens(tapOn,n1)
| ~ holdsAt(X1,n2)
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[138423,189,theory(equality)]) ).
cnf(138425,plain,
( holdsAt(X1,n1)
| releasedAt(X1,n2)
| happens(tapOn,n1)
| ~ holdsAt(X1,n2) ),
inference(cn,[status(thm)],[138424,theory(equality)]) ).
cnf(138772,plain,
( releasedAt(X1,n1)
| holdsAt(X1,n1)
| happens(tapOn,n1)
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[19036,138425,theory(equality)]) ).
cnf(139755,plain,
( holdsAt(filling,n1)
| happens(tapOn,n1)
| ~ holdsAt(filling,n2) ),
inference(spm,[status(thm)],[2086,138772,theory(equality)]) ).
cnf(139775,plain,
( holdsAt(filling,n1)
| happens(tapOn,n1)
| $false ),
inference(rw,[status(thm)],[139755,111510,theory(equality)]) ).
cnf(139776,plain,
( holdsAt(filling,n1)
| happens(tapOn,n1) ),
inference(cn,[status(thm)],[139775,theory(equality)]) ).
cnf(143426,plain,
( overflow = tapOn
| tapOff = tapOn
| holdsAt(X1,n2)
| releasedAt(X1,n2)
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[128,74475,theory(equality)]) ).
cnf(143432,plain,
( tapOff = tapOn
| holdsAt(X1,n2)
| releasedAt(X1,n2)
| ~ holdsAt(X1,n1) ),
inference(sr,[status(thm)],[143426,150,theory(equality)]) ).
cnf(143433,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| ~ holdsAt(X1,n1) ),
inference(sr,[status(thm)],[143432,183,theory(equality)]) ).
cnf(143439,plain,
( releasedAt(X1,n1)
| holdsAt(X1,n2)
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[19036,143433,theory(equality)]) ).
cnf(143902,plain,
( epred42_0
| holdsAt(X1,n2)
| filling != X1
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[4192,143439,theory(equality)]) ).
cnf(143919,plain,
( holdsAt(X1,n2)
| filling != X1
| ~ holdsAt(X1,n1) ),
inference(sr,[status(thm)],[143902,4242,theory(equality)]) ).
cnf(143923,plain,
( holdsAt(X1,n2)
| filling != X1 ),
inference(csr,[status(thm)],[143919,18202]) ).
cnf(152858,plain,
( filling != X2
| tapOn != X5
| ~ less(X4,X3)
| ~ less(X1,X4)
| ~ happens(X5,X4) ),
inference(csr,[status(thm)],[5049,7661]) ).
fof(152859,plain,
( ~ epred415_0
<=> ! [X2] : filling != X2 ),
introduced(definition),
[split] ).
cnf(152860,plain,
( epred415_0
| filling != X2 ),
inference(split_equiv,[status(thm)],[152859]) ).
fof(152861,plain,
( ~ epred416_0
<=> ! [X3,X1,X4,X5] :
( ~ happens(X5,X4)
| ~ less(X1,X4)
| ~ less(X4,X3)
| tapOn != X5 ) ),
introduced(definition),
[split] ).
cnf(152862,plain,
( epred416_0
| ~ happens(X5,X4)
| ~ less(X1,X4)
| ~ less(X4,X3)
| tapOn != X5 ),
inference(split_equiv,[status(thm)],[152861]) ).
cnf(152863,plain,
( ~ epred416_0
| ~ epred415_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[152858,152859,theory(equality)]),152861,theory(equality)]),
[split] ).
cnf(152864,plain,
epred415_0,
inference(er,[status(thm)],[152860,theory(equality)]) ).
cnf(152866,plain,
( ~ epred416_0
| $false ),
inference(rw,[status(thm)],[152863,152864,theory(equality)]) ).
cnf(152867,plain,
~ epred416_0,
inference(cn,[status(thm)],[152866,theory(equality)]) ).
cnf(152868,plain,
( ~ happens(X5,X4)
| ~ less(X1,X4)
| ~ less(X4,X3)
| tapOn != X5 ),
inference(sr,[status(thm)],[152862,152867,theory(equality)]) ).
cnf(152871,plain,
( tapOn != X1
| ~ less(n1,X2)
| ~ happens(X1,n1) ),
inference(spm,[status(thm)],[152868,641,theory(equality)]) ).
cnf(152872,plain,
( tapOn != X1
| ~ less(n2,X2)
| ~ happens(X1,n2) ),
inference(spm,[status(thm)],[152868,642,theory(equality)]) ).
fof(153096,plain,
( ~ epred421_0
<=> ! [X1] :
( ~ happens(X1,n1)
| tapOn != X1 ) ),
introduced(definition),
[split] ).
cnf(153097,plain,
( epred421_0
| ~ happens(X1,n1)
| tapOn != X1 ),
inference(split_equiv,[status(thm)],[153096]) ).
fof(153098,plain,
( ~ epred422_0
<=> ! [X2] : ~ less(n1,X2) ),
introduced(definition),
[split] ).
cnf(153099,plain,
( epred422_0
| ~ less(n1,X2) ),
inference(split_equiv,[status(thm)],[153098]) ).
cnf(153100,plain,
( ~ epred422_0
| ~ epred421_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[152871,153096,theory(equality)]),153098,theory(equality)]),
[split] ).
fof(153101,plain,
( ~ epred423_0
<=> ! [X1] :
( ~ happens(X1,n2)
| tapOn != X1 ) ),
introduced(definition),
[split] ).
cnf(153102,plain,
( epred423_0
| ~ happens(X1,n2)
| tapOn != X1 ),
inference(split_equiv,[status(thm)],[153101]) ).
fof(153103,plain,
( ~ epred424_0
<=> ! [X2] : ~ less(n2,X2) ),
introduced(definition),
[split] ).
cnf(153104,plain,
( epred424_0
| ~ less(n2,X2) ),
inference(split_equiv,[status(thm)],[153103]) ).
cnf(153105,plain,
( ~ epred424_0
| ~ epred423_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[152872,153101,theory(equality)]),153103,theory(equality)]),
[split] ).
cnf(153586,plain,
epred422_0,
inference(spm,[status(thm)],[153099,642,theory(equality)]) ).
cnf(153629,plain,
( $false
| ~ epred421_0 ),
inference(rw,[status(thm)],[153100,153586,theory(equality)]) ).
cnf(153630,plain,
~ epred421_0,
inference(cn,[status(thm)],[153629,theory(equality)]) ).
cnf(153631,plain,
epred424_0,
inference(spm,[status(thm)],[153104,639,theory(equality)]) ).
cnf(153682,plain,
( $false
| ~ epred423_0 ),
inference(rw,[status(thm)],[153105,153631,theory(equality)]) ).
cnf(153683,plain,
~ epred423_0,
inference(cn,[status(thm)],[153682,theory(equality)]) ).
cnf(156486,plain,
( ~ happens(X1,n1)
| tapOn != X1 ),
inference(sr,[status(thm)],[153097,153630,theory(equality)]) ).
cnf(156489,plain,
( releasedAt(X1,plus(n1,n1))
| tapOn != esk6_2(X1,n1)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[156486,144,theory(equality)]) ).
cnf(156495,plain,
holdsAt(filling,n1),
inference(spm,[status(thm)],[156486,139776,theory(equality)]) ).
cnf(156497,plain,
( releasedAt(X1,n2)
| tapOn != esk6_2(X1,n1)
| ~ releasedAt(X1,n1) ),
inference(rw,[status(thm)],[156489,189,theory(equality)]) ).
cnf(156735,plain,
( ~ happens(X1,n2)
| tapOn != X1 ),
inference(sr,[status(thm)],[153102,153683,theory(equality)]) ).
cnf(156740,plain,
( holdsAt(X1,plus(n2,n1))
| releasedAt(X1,plus(n2,n1))
| tapOn != esk5_2(X1,n2)
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[156735,138,theory(equality)]) ).
cnf(156748,plain,
( holdsAt(X1,n3)
| releasedAt(X1,plus(n2,n1))
| tapOn != esk5_2(X1,n2)
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[156740,208,theory(equality)]),188,theory(equality)]) ).
cnf(156749,plain,
( holdsAt(X1,n3)
| releasedAt(X1,n3)
| tapOn != esk5_2(X1,n2)
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[156748,208,theory(equality)]),188,theory(equality)]) ).
cnf(176010,plain,
( releasedAt(X1,n2)
| esk6_2(X1,n1) = overflow
| releasedAt(X1,plus(n1,n1))
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[156497,422,theory(equality)]) ).
cnf(176017,plain,
( releasedAt(X1,n2)
| esk6_2(X1,n1) = overflow
| releasedAt(X1,n2)
| ~ releasedAt(X1,n1) ),
inference(rw,[status(thm)],[176010,189,theory(equality)]) ).
cnf(176018,plain,
( releasedAt(X1,n2)
| esk6_2(X1,n1) = overflow
| ~ releasedAt(X1,n1) ),
inference(cn,[status(thm)],[176017,theory(equality)]) ).
cnf(177598,plain,
( releasedAt(X1,n2)
| ~ releasedAt(X1,n1) ),
inference(csr,[status(thm)],[176018,72373]) ).
cnf(244393,plain,
( holdsAt(X1,n3)
| releasedAt(X1,n3)
| holdsAt(X1,plus(n2,n1))
| holdsAt(waterLevel(n3),n2)
| releasedAt(X1,plus(n2,n1))
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[156749,485,theory(equality)]) ).
cnf(244402,plain,
( holdsAt(X1,n3)
| releasedAt(X1,n3)
| holdsAt(X1,n3)
| holdsAt(waterLevel(n3),n2)
| releasedAt(X1,plus(n2,n1))
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[244393,208,theory(equality)]),188,theory(equality)]) ).
cnf(244403,plain,
( holdsAt(X1,n3)
| releasedAt(X1,n3)
| holdsAt(X1,n3)
| holdsAt(waterLevel(n3),n2)
| releasedAt(X1,n3)
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[244402,208,theory(equality)]),188,theory(equality)]) ).
cnf(244404,plain,
( holdsAt(X1,n3)
| releasedAt(X1,n3)
| holdsAt(waterLevel(n3),n2)
| ~ holdsAt(X1,n2) ),
inference(cn,[status(thm)],[244403,theory(equality)]) ).
cnf(244415,plain,
( epred26_0
| holdsAt(waterLevel(n3),n2)
| holdsAt(X1,n3)
| filling != X1
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[3934,244404,theory(equality)]) ).
cnf(244448,plain,
( holdsAt(waterLevel(n3),n2)
| holdsAt(X1,n3)
| filling != X1
| ~ holdsAt(X1,n2) ),
inference(sr,[status(thm)],[244415,95797,theory(equality)]) ).
cnf(244458,plain,
( holdsAt(waterLevel(n3),n2)
| holdsAt(X1,n3)
| filling != X1 ),
inference(csr,[status(thm)],[244448,143923]) ).
cnf(244459,plain,
( holdsAt(waterLevel(n3),n2)
| holdsAt(filling,n3) ),
inference(er,[status(thm)],[244458,theory(equality)]) ).
cnf(244460,plain,
holdsAt(waterLevel(n3),n2),
inference(sr,[status(thm)],[244459,211,theory(equality)]) ).
cnf(244461,plain,
( X1 = n3
| ~ holdsAt(waterLevel(X1),n2) ),
inference(spm,[status(thm)],[186,244460,theory(equality)]) ).
cnf(244547,plain,
( epred186_0
| n2 != n0 ),
inference(spm,[status(thm)],[70530,244460,theory(equality)]) ).
cnf(244688,plain,
n2 != n0,
inference(sr,[status(thm)],[244547,105478,theory(equality)]) ).
cnf(385613,plain,
( holdsAt(waterLevel(X1),n1)
| holdsAt(filling,n0)
| releasedAt(filling,plus(n0,n1))
| n1 != X1
| ~ happens(esk2_2(filling,n0),n0)
| ~ holdsAt(filling,plus(n0,n1)) ),
inference(spm,[status(thm)],[11211,108,theory(equality)]) ).
cnf(385615,plain,
( holdsAt(waterLevel(X1),n1)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| n1 != X1
| ~ happens(esk2_2(filling,n0),n0)
| ~ holdsAt(filling,plus(n0,n1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[385613,208,theory(equality)]),317,theory(equality)]) ).
cnf(385616,plain,
( holdsAt(waterLevel(X1),n1)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| n1 != X1
| ~ happens(esk2_2(filling,n0),n0)
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[385615,208,theory(equality)]),317,theory(equality)]),156495,theory(equality)]) ).
cnf(385617,plain,
( holdsAt(waterLevel(X1),n1)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| n1 != X1
| ~ happens(esk2_2(filling,n0),n0) ),
inference(cn,[status(thm)],[385616,theory(equality)]) ).
cnf(385618,plain,
( holdsAt(waterLevel(X1),n1)
| releasedAt(filling,n1)
| n1 != X1
| ~ happens(esk2_2(filling,n0),n0) ),
inference(sr,[status(thm)],[385617,218,theory(equality)]) ).
cnf(385619,plain,
( holdsAt(waterLevel(X1),n1)
| n1 != X1
| ~ happens(esk2_2(filling,n0),n0) ),
inference(sr,[status(thm)],[385618,2086,theory(equality)]) ).
cnf(385964,plain,
( holdsAt(waterLevel(X1),n1)
| holdsAt(filling,n0)
| releasedAt(filling,plus(n0,n1))
| n1 != X1
| ~ holdsAt(filling,plus(n0,n1)) ),
inference(spm,[status(thm)],[385619,109,theory(equality)]) ).
cnf(385980,plain,
( holdsAt(waterLevel(X1),n1)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| n1 != X1
| ~ holdsAt(filling,plus(n0,n1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[385964,208,theory(equality)]),317,theory(equality)]) ).
cnf(385981,plain,
( holdsAt(waterLevel(X1),n1)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| n1 != X1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[385980,208,theory(equality)]),317,theory(equality)]),156495,theory(equality)]) ).
cnf(385982,plain,
( holdsAt(waterLevel(X1),n1)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| n1 != X1 ),
inference(cn,[status(thm)],[385981,theory(equality)]) ).
cnf(385983,plain,
( holdsAt(waterLevel(X1),n1)
| releasedAt(filling,n1)
| n1 != X1 ),
inference(sr,[status(thm)],[385982,218,theory(equality)]) ).
cnf(385984,plain,
( holdsAt(waterLevel(X1),n1)
| n1 != X1 ),
inference(sr,[status(thm)],[385983,2086,theory(equality)]) ).
cnf(386042,plain,
( epred1_3(X1,n1,X2)
| waterLevel(X3) != X1
| overflow != X2
| n1 != X3 ),
inference(spm,[status(thm)],[302,385984,theory(equality)]) ).
cnf(387647,plain,
( epred1_3(waterLevel(X1),n1,X2)
| overflow != X2
| n1 != X1 ),
inference(er,[status(thm)],[386042,theory(equality)]) ).
cnf(387739,plain,
( ~ releasedAt(waterLevel(X1),n2)
| ~ happens(X2,n1)
| overflow != X2
| n1 != X1 ),
inference(spm,[status(thm)],[1591,387647,theory(equality)]) ).
fof(387949,plain,
( ~ epred760_0
<=> ! [X1] :
( n1 != X1
| ~ releasedAt(waterLevel(X1),n2) ) ),
introduced(definition),
[split] ).
cnf(387950,plain,
( epred760_0
| n1 != X1
| ~ releasedAt(waterLevel(X1),n2) ),
inference(split_equiv,[status(thm)],[387949]) ).
fof(387951,plain,
( ~ epred761_0
<=> ! [X2] :
( overflow != X2
| ~ happens(X2,n1) ) ),
introduced(definition),
[split] ).
cnf(387952,plain,
( epred761_0
| overflow != X2
| ~ happens(X2,n1) ),
inference(split_equiv,[status(thm)],[387951]) ).
cnf(387953,plain,
( ~ epred761_0
| ~ epred760_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[387739,387949,theory(equality)]),387951,theory(equality)]),
[split] ).
cnf(388097,plain,
( epred761_0
| overflow != esk8_3(X1,X2,n2)
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[387952,23711,theory(equality)]) ).
cnf(388158,plain,
( epred760_0
| n1 != X1
| ~ releasedAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[387950,177598,theory(equality)]) ).
cnf(388200,plain,
( epred760_0
| n1 != X1
| $false ),
inference(rw,[status(thm)],[388158,13880,theory(equality)]) ).
cnf(388201,plain,
( epred760_0
| n1 != X1 ),
inference(cn,[status(thm)],[388200,theory(equality)]) ).
cnf(388204,plain,
epred760_0,
inference(er,[status(thm)],[388201,theory(equality)]) ).
cnf(388206,plain,
( ~ epred761_0
| $false ),
inference(rw,[status(thm)],[387953,388204,theory(equality)]) ).
cnf(388207,plain,
~ epred761_0,
inference(cn,[status(thm)],[388206,theory(equality)]) ).
cnf(388268,plain,
( esk8_3(X1,X2,n2) != overflow
| ~ stoppedIn(X1,X2,n2) ),
inference(sr,[status(thm)],[388097,388207,theory(equality)]) ).
cnf(388269,plain,
~ stoppedIn(X1,X2,n2),
inference(csr,[status(thm)],[388268,2836]) ).
cnf(403027,plain,
( holdsAt(X1,n0)
| releasedAt(X1,n1)
| initiates(tapOn,X1,n0)
| releasedAt(X1,plus(n0,n1))
| ~ holdsAt(X1,n1)
| ~ holdsAt(X1,plus(n0,n1)) ),
inference(spm,[status(thm)],[15389,4699,theory(equality)]) ).
cnf(403057,plain,
( holdsAt(X1,n0)
| releasedAt(X1,n1)
| initiates(tapOn,X1,n0)
| releasedAt(X1,n1)
| ~ holdsAt(X1,n1)
| ~ holdsAt(X1,plus(n0,n1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[403027,208,theory(equality)]),317,theory(equality)]) ).
cnf(403058,plain,
( holdsAt(X1,n0)
| releasedAt(X1,n1)
| initiates(tapOn,X1,n0)
| releasedAt(X1,n1)
| ~ holdsAt(X1,n1)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[403057,208,theory(equality)]),317,theory(equality)]) ).
cnf(403059,plain,
( holdsAt(X1,n0)
| releasedAt(X1,n1)
| initiates(tapOn,X1,n0)
| ~ holdsAt(X1,n1) ),
inference(cn,[status(thm)],[403058,theory(equality)]) ).
cnf(410977,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| ~ less(n0,n2)
| ~ happens(tapOn,n0)
| ~ holdsAt(filling,n1) ),
inference(spm,[status(thm)],[8853,403059,theory(equality)]) ).
cnf(411020,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| ~ less(n0,n2)
| $false
| ~ holdsAt(filling,n1) ),
inference(rw,[status(thm)],[410977,14085,theory(equality)]) ).
cnf(411021,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| ~ less(n0,n2)
| $false
| $false ),
inference(rw,[status(thm)],[411020,156495,theory(equality)]) ).
cnf(411022,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| ~ less(n0,n2) ),
inference(cn,[status(thm)],[411021,theory(equality)]) ).
cnf(411023,plain,
( holdsAt(waterLevel(n2),n2)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| ~ less(n0,n2) ),
inference(sr,[status(thm)],[411022,388269,theory(equality)]) ).
cnf(411024,plain,
( holdsAt(waterLevel(n2),n2)
| releasedAt(filling,n1)
| ~ less(n0,n2) ),
inference(sr,[status(thm)],[411023,218,theory(equality)]) ).
cnf(411025,plain,
( holdsAt(waterLevel(n2),n2)
| ~ less(n0,n2) ),
inference(sr,[status(thm)],[411024,2086,theory(equality)]) ).
cnf(411074,plain,
( holdsAt(waterLevel(n2),n2)
| n2 = n0 ),
inference(spm,[status(thm)],[411025,326,theory(equality)]) ).
cnf(411081,plain,
holdsAt(waterLevel(n2),n2),
inference(sr,[status(thm)],[411074,244688,theory(equality)]) ).
cnf(411215,plain,
n2 = n3,
inference(spm,[status(thm)],[244461,411081,theory(equality)]) ).
cnf(411462,plain,
holdsAt(filling,n3),
inference(rw,[status(thm)],[111510,411215,theory(equality)]) ).
cnf(411463,plain,
$false,
inference(sr,[status(thm)],[411462,211,theory(equality)]) ).
cnf(411464,plain,
$false,
411463,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR005+1.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/tmpFFshPd/sel_CSR005+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpFFshPd/sel_CSR005+1.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/tmpFFshPd/sel_CSR005+1.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/tmpFFshPd/sel_CSR005+1.p_4 with time limit 56
% -prover status ResourceOut
% --creating new selector for [CSR001+0.ax, CSR001+1.ax]
% -running prover on /tmp/tmpFFshPd/sel_CSR005+1.p_5 with time limit 55
% -prover status Theorem
% Problem CSR005+1.p solved in phase 4.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR005+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR005+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------