TSTP Solution File: CSR007+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR007+1 : TPTP v5.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 05:54:49 EST 2010
% Result : Theorem 291.38s
% Output : CNFRefutation 291.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 79
% Number of leaves : 50
% Syntax : Number of formulae : 483 ( 76 unt; 0 def)
% Number of atoms : 1926 ( 620 equ)
% Maximal formula atoms : 194 ( 3 avg)
% Number of connectives : 2331 ( 888 ~;1142 |; 258 &)
% ( 26 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 50 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 13 prp; 0-4 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-3 aty)
% Number of variables : 899 ( 86 sgn 324 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
tapOff != overflow,
file('/tmp/tmpQcR-gk/sel_CSR007+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/tmpQcR-gk/sel_CSR007+1.p_5',happens_releases) ).
fof(3,axiom,
! [X4] : filling != waterLevel(X4),
file('/tmp/tmpQcR-gk/sel_CSR007+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/tmpQcR-gk/sel_CSR007+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/tmpQcR-gk/sel_CSR007+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/tmpQcR-gk/sel_CSR007+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/tmpQcR-gk/sel_CSR007+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/tmpQcR-gk/sel_CSR007+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/tmpQcR-gk/sel_CSR007+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/tmpQcR-gk/sel_CSR007+1.p_5',terminates_all_defn) ).
fof(13,axiom,
! [X3,X2] :
( ( holdsAt(X3,X2)
& ~ releasedAt(X3,plus(X2,n1))
& ~ ? [X1] :
( happens(X1,X2)
& terminates(X1,X3,X2) ) )
=> holdsAt(X3,plus(X2,n1)) ),
file('/tmp/tmpQcR-gk/sel_CSR007+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/tmpQcR-gk/sel_CSR007+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/tmpQcR-gk/sel_CSR007+1.p_5',happens_not_released) ).
fof(16,axiom,
overflow != tapOn,
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',overflow_not_tapOn) ).
fof(18,axiom,
! [X1,X3,X2] :
( releases(X1,X3,X2)
<=> ? [X10] :
( X1 = tapOn
& X3 = waterLevel(X10) ) ),
file('/tmp/tmpQcR-gk/sel_CSR007+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/tmpQcR-gk/sel_CSR007+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/tmpQcR-gk/sel_CSR007+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/tmpQcR-gk/sel_CSR007+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/tmpQcR-gk/sel_CSR007+1.p_5',change_of_waterLevel) ).
fof(24,axiom,
tapOff != tapOn,
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',tapOff_not_tapOn) ).
fof(25,axiom,
! [X2,X12,X13] :
( ( holdsAt(waterLevel(X12),X2)
& holdsAt(waterLevel(X13),X2) )
=> X12 = X13 ),
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',same_waterLevel) ).
fof(27,axiom,
plus(n1,n2) = n3,
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',plus1_2) ).
fof(28,axiom,
plus(n1,n1) = n2,
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',plus1_1) ).
fof(29,axiom,
plus(n0,n2) = n2,
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',plus0_2) ).
fof(32,axiom,
plus(n0,n1) = n1,
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',plus0_1) ).
fof(33,axiom,
holdsAt(waterLevel(n0),n0),
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',waterLevel_0) ).
fof(35,conjecture,
~ holdsAt(waterLevel(n3),n2),
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',waterlevel_not_3) ).
fof(40,axiom,
! [X4,X9] :
( less(X4,X9)
<=> ( ~ less(X9,X4)
& X9 != X4 ) ),
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',less_property) ).
fof(41,axiom,
~ releasedAt(filling,n0),
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',not_released_filling_0) ).
fof(42,axiom,
! [X4,X9] : plus(X4,X9) = plus(X9,X4),
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',symmetry_of_plus) ).
fof(43,axiom,
! [X10] : ~ releasedAt(waterLevel(X10),n0),
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',not_released_waterLevel_0) ).
fof(44,axiom,
! [X4,X9] :
( less_or_equal(X4,X9)
<=> ( less(X4,X9)
| X4 = X9 ) ),
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',less_or_equal) ).
fof(45,axiom,
~ holdsAt(filling,n0),
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',not_filling_0) ).
fof(52,axiom,
~ ? [X4] : less(X4,n0),
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',less0) ).
fof(53,axiom,
! [X4] :
( less(X4,n1)
<=> less_or_equal(X4,n0) ),
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',less1) ).
fof(54,axiom,
! [X4] :
( less(X4,n2)
<=> less_or_equal(X4,n1) ),
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',less2) ).
fof(55,axiom,
! [X4] :
( less(X4,n3)
<=> less_or_equal(X4,n2) ),
file('/tmp/tmpQcR-gk/sel_CSR007+1.p_5',less3) ).
fof(56,negated_conjecture,
~ ~ holdsAt(waterLevel(n3),n2),
inference(assume_negation,[status(cth)],[35]) ).
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(64,negated_conjecture,
holdsAt(waterLevel(n3),n2),
inference(fof_simplification,[status(thm)],[56,theory(equality)]) ).
fof(67,plain,
! [X4,X9] :
( less(X4,X9)
<=> ( ~ less(X9,X4)
& X9 != X4 ) ),
inference(fof_simplification,[status(thm)],[40,theory(equality)]) ).
fof(68,plain,
~ releasedAt(filling,n0),
inference(fof_simplification,[status(thm)],[41,theory(equality)]) ).
fof(69,plain,
! [X10] : ~ releasedAt(waterLevel(X10),n0),
inference(fof_simplification,[status(thm)],[43,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(102,plain,
( X1 = tapOn
| holdsAt(filling,X2)
| ~ 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(125,plain,
( X2 = filling
| X2 = filling
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[122]) ).
cnf(128,plain,
( X1 = tapOff
| X1 = overflow
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[122]) ).
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(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]) ).
cnf(172,plain,
( stoppedIn(X1,X2,X3)
| ~ terminates(X4,X2,X5)
| ~ less(X5,X3)
| ~ less(X1,X5)
| ~ happens(X4,X5) ),
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]) ).
cnf(196,negated_conjecture,
holdsAt(waterLevel(n3),n2),
inference(split_conjunct,[status(thm)],[64]) ).
fof(201,plain,
! [X4,X9] :
( ( ~ less(X4,X9)
| ( ~ less(X9,X4)
& X9 != X4 ) )
& ( less(X9,X4)
| X9 = X4
| less(X4,X9) ) ),
inference(fof_nnf,[status(thm)],[67]) ).
fof(202,plain,
! [X10,X11] :
( ( ~ less(X10,X11)
| ( ~ less(X11,X10)
& X11 != X10 ) )
& ( less(X11,X10)
| X11 = X10
| less(X10,X11) ) ),
inference(variable_rename,[status(thm)],[201]) ).
fof(203,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)],[202]) ).
cnf(204,plain,
( less(X1,X2)
| X2 = X1
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[203]) ).
cnf(205,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[203]) ).
cnf(206,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[203]) ).
cnf(207,plain,
~ releasedAt(filling,n0),
inference(split_conjunct,[status(thm)],[68]) ).
fof(208,plain,
! [X10,X11] : plus(X10,X11) = plus(X11,X10),
inference(variable_rename,[status(thm)],[42]) ).
cnf(209,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[208]) ).
fof(210,plain,
! [X11] : ~ releasedAt(waterLevel(X11),n0),
inference(variable_rename,[status(thm)],[69]) ).
cnf(211,plain,
~ releasedAt(waterLevel(X1),n0),
inference(split_conjunct,[status(thm)],[210]) ).
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(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(304,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[215,theory(equality)]) ).
cnf(305,plain,
~ less(X1,X1),
inference(er,[status(thm)],[205,theory(equality)]) ).
cnf(316,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[193,209,theory(equality)]) ).
cnf(343,plain,
( X1 = n0
| less(n0,X1) ),
inference(spm,[status(thm)],[245,204,theory(equality)]) ).
cnf(356,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(367,plain,
( releases(X1,waterLevel(X2),X3)
| tapOn != X1 ),
inference(er,[status(thm)],[159,theory(equality)]) ).
cnf(369,plain,
( X2 != filling
| ~ releases(X1,X2,X3) ),
inference(spm,[status(thm)],[78,157,theory(equality)]) ).
cnf(376,negated_conjecture,
( X1 = n3
| ~ holdsAt(waterLevel(X1),n2) ),
inference(spm,[status(thm)],[186,196,theory(equality)]) ).
cnf(378,plain,
( X1 = esk7_3(X2,X3,X4)
| ~ holdsAt(X3,X5)
| ~ holdsAt(waterLevel(X1),X5)
| ~ releases(X2,X3,X4) ),
inference(spm,[status(thm)],[186,157,theory(equality)]) ).
cnf(406,plain,
( epred1_3(X1,n0,X2)
| waterLevel(n0) != X1
| tapOff != X2 ),
inference(spm,[status(thm)],[301,194,theory(equality)]) ).
cnf(411,negated_conjecture,
( epred1_3(X1,n2,X2)
| waterLevel(n3) != X1
| overflow != X2 ),
inference(spm,[status(thm)],[302,196,theory(equality)]) ).
cnf(413,plain,
( epred1_3(X1,X2,X3)
| X5 != X1
| overflow != X3
| ~ holdsAt(X5,X2)
| ~ releases(X4,X5,X6) ),
inference(spm,[status(thm)],[302,157,theory(equality)]) ).
cnf(415,plain,
( epred1_3(X1,X2,X3)
| overflow != X3
| ~ holdsAt(X1,X2)
| ~ releases(X4,X1,X5) ),
inference(er,[status(thm)],[413,theory(equality)]) ).
cnf(417,plain,
( holdsAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| ~ epred1_3(X1,X2,X3) ),
inference(spm,[status(thm)],[92,178,theory(equality)]) ).
cnf(422,plain,
( ~ initiates(X1,X2,n1)
| ~ releasedAt(X2,n2)
| ~ happens(X1,n1) ),
inference(spm,[status(thm)],[149,189,theory(equality)]) ).
cnf(423,plain,
( ~ initiates(X1,X2,X3)
| ~ releasedAt(X2,plus(n1,X3))
| ~ happens(X1,X3) ),
inference(spm,[status(thm)],[149,209,theory(equality)]) ).
cnf(427,plain,
( n0 = X1
| holdsAt(filling,X1)
| releasedAt(X2,plus(X1,n1))
| ~ releasedAt(X2,X1) ),
inference(spm,[status(thm)],[99,144,theory(equality)]) ).
cnf(431,plain,
( tapOn = X1
| overflow = X1
| X3 != filling
| ~ epred1_3(X3,X2,X1) ),
inference(spm,[status(thm)],[78,291,theory(equality)]) ).
cnf(444,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(451,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(457,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(458,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)],[457,209,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,
( 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(479,plain,
( tapOn = esk1_2(X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[158,88,theory(equality)]) ).
cnf(484,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(486,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(488,plain,
( n0 = X1
| holdsAt(waterLevel(n3),X1)
| holdsAt(X2,plus(X1,n1))
| releasedAt(X2,plus(X1,n1))
| ~ holdsAt(X2,X1) ),
inference(spm,[status(thm)],[100,138,theory(equality)]) ).
cnf(491,plain,
( ~ holdsAt(X2,plus(X3,n1))
| ~ happens(X1,X3)
| overflow != X1
| filling != X2 ),
inference(spm,[status(thm)],[175,123,theory(equality)]) ).
cnf(527,plain,
( stoppedIn(X1,X2,X3)
| ~ less(X5,X3)
| ~ less(X1,X5)
| ~ happens(X4,X5)
| overflow != X4
| filling != X2 ),
inference(spm,[status(thm)],[172,123,theory(equality)]) ).
cnf(528,plain,
( stoppedIn(X1,X2,X3)
| ~ less(esk9_3(X4,X2,X5),X3)
| ~ less(X1,esk9_3(X4,X2,X5))
| ~ happens(esk8_3(X4,X2,X5),esk9_3(X4,X2,X5))
| ~ stoppedIn(X4,X2,X5) ),
inference(spm,[status(thm)],[172,168,theory(equality)]) ).
cnf(532,plain,
( tapOn = esk2_2(X1,X2)
| holdsAt(filling,X2)
| holdsAt(X1,X2)
| releasedAt(X1,plus(X2,n1))
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[102,109,theory(equality)]) ).
cnf(549,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(551,plain,
( filling = X1
| holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[125,137,theory(equality)]) ).
cnf(648,plain,
less(n2,n3),
inference(spm,[status(thm)],[256,304,theory(equality)]) ).
cnf(650,plain,
less(n1,n2),
inference(spm,[status(thm)],[252,304,theory(equality)]) ).
cnf(651,plain,
less(n0,n1),
inference(spm,[status(thm)],[248,304,theory(equality)]) ).
cnf(663,plain,
~ less(n2,n1),
inference(spm,[status(thm)],[206,650,theory(equality)]) ).
cnf(746,plain,
( esk9_3(X1,X2,n1) = n0
| ~ stoppedIn(X1,X2,n1) ),
inference(spm,[status(thm)],[365,169,theory(equality)]) ).
cnf(753,plain,
( releasedAt(X1,X2)
| X1 != filling
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[369,88,theory(equality)]) ).
cnf(851,plain,
( esk9_3(X1,X2,n2) = n1
| less(esk9_3(X1,X2,n2),n1)
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[356,169,theory(equality)]) ).
cnf(1051,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| ~ happens(X3,X2)
| tapOn != X3 ),
inference(spm,[status(thm)],[76,367,theory(equality)]) ).
cnf(1408,plain,
( less(X1,n0)
| ~ stoppedIn(X1,X2,n1) ),
inference(spm,[status(thm)],[170,746,theory(equality)]) ).
cnf(1414,plain,
~ stoppedIn(X1,X2,n1),
inference(sr,[status(thm)],[1408,245,theory(equality)]) ).
cnf(1529,plain,
( epred1_3(waterLevel(X1),X2,X3)
| overflow != X3
| ~ holdsAt(waterLevel(X1),X2)
| tapOn != X4 ),
inference(spm,[status(thm)],[415,367,theory(equality)]) ).
cnf(1584,plain,
( holdsAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| filling != X1
| tapOn != X3 ),
inference(spm,[status(thm)],[417,300,theory(equality)]) ).
cnf(1703,plain,
( ~ releasedAt(X2,n2)
| ~ happens(X1,n1)
| ~ epred1_3(X2,n1,X1) ),
inference(spm,[status(thm)],[422,178,theory(equality)]) ).
cnf(1712,plain,
( ~ initiates(X1,X2,n2)
| ~ releasedAt(X2,n3)
| ~ happens(X1,n2) ),
inference(spm,[status(thm)],[423,188,theory(equality)]) ).
cnf(1790,plain,
( n0 = X1
| holdsAt(filling,X1)
| releasedAt(X2,plus(n1,X1))
| ~ releasedAt(X2,X1) ),
inference(spm,[status(thm)],[427,209,theory(equality)]) ).
cnf(2208,plain,
( releasedAt(X1,X2)
| X1 != filling
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[753,209,theory(equality)]) ).
cnf(2269,plain,
( releasedAt(X1,n0)
| X1 != filling
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[2208,316,theory(equality)]) ).
cnf(2292,plain,
~ releasedAt(filling,n1),
inference(spm,[status(thm)],[207,2269,theory(equality)]) ).
cnf(2548,plain,
( holdsAt(X1,plus(n1,esk4_3(X2,X3,X1)))
| ~ startedIn(X2,X1,X3) ),
inference(csr,[status(thm)],[458,118]) ).
cnf(3083,plain,
( tapOn = X1
| overflow = X1
| holdsAt(X3,X2)
| ~ epred1_3(X3,X2,X1) ),
inference(csr,[status(thm)],[472,431]) ).
cnf(3087,plain,
( overflow = X1
| tapOn = X1
| holdsAt(X2,n0)
| waterLevel(n0) != X2
| tapOff != X1 ),
inference(spm,[status(thm)],[3083,406,theory(equality)]) ).
cnf(3201,plain,
( ~ releasedAt(X2,n3)
| ~ happens(X1,n2)
| ~ epred1_3(X2,n2,X1) ),
inference(spm,[status(thm)],[1712,178,theory(equality)]) ).
cnf(3243,plain,
( tapOff = overflow
| tapOff = tapOn
| esk8_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[451,478,theory(equality)]) ).
cnf(3245,plain,
( tapOff = tapOn
| esk8_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[3243,73,theory(equality)]) ).
cnf(3246,plain,
( esk8_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[3245,183,theory(equality)]) ).
cnf(3247,plain,
( happens(overflow,esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[171,3246,theory(equality)]) ).
cnf(3250,plain,
( tapOn = overflow
| holdsAt(filling,esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[102,3247,theory(equality)]) ).
cnf(3252,plain,
( tapOn = overflow
| holdsAt(waterLevel(n3),esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[103,3247,theory(equality)]) ).
cnf(3254,plain,
( holdsAt(filling,esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[3250,150,theory(equality)]) ).
cnf(3255,plain,
( holdsAt(waterLevel(n3),esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[3252,150,theory(equality)]) ).
cnf(3298,plain,
( releasedAt(X1,X2)
| happens(tapOn,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[89,479,theory(equality)]) ).
cnf(3444,plain,
( releasedAt(X1,n1)
| n0 = n1
| holdsAt(X1,plus(n1,n1))
| holdsAt(filling,n1)
| X1 != filling
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[2208,486,theory(equality)]) ).
cnf(3450,plain,
( releasedAt(X1,n1)
| n0 = n1
| holdsAt(X1,n2)
| holdsAt(filling,n1)
| X1 != filling
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[3444,189,theory(equality)]) ).
cnf(3536,plain,
( releasedAt(X1,X2)
| n0 = X2
| holdsAt(X1,plus(X2,n1))
| holdsAt(waterLevel(n3),X2)
| X1 != filling
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[753,488,theory(equality)]) ).
cnf(3658,plain,
( overflow != X1
| filling != X2
| ~ holdsAt(X2,n2)
| ~ happens(X1,n1) ),
inference(spm,[status(thm)],[491,189,theory(equality)]) ).
cnf(3659,plain,
( overflow != X1
| filling != X2
| ~ holdsAt(X2,plus(n1,X3))
| ~ happens(X1,X3) ),
inference(spm,[status(thm)],[491,209,theory(equality)]) ).
fof(3671,plain,
( ~ epred18_0
<=> ! [X1] :
( ~ happens(X1,n1)
| overflow != X1 ) ),
introduced(definition),
[split] ).
cnf(3672,plain,
( epred18_0
| ~ happens(X1,n1)
| overflow != X1 ),
inference(split_equiv,[status(thm)],[3671]) ).
fof(3673,plain,
( ~ epred19_0
<=> ! [X2] :
( ~ holdsAt(X2,n2)
| filling != X2 ) ),
introduced(definition),
[split] ).
cnf(3674,plain,
( epred19_0
| ~ holdsAt(X2,n2)
| filling != X2 ),
inference(split_equiv,[status(thm)],[3673]) ).
cnf(3675,plain,
( ~ epred19_0
| ~ epred18_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[3658,3671,theory(equality)]),3673,theory(equality)]),
[split] ).
cnf(3680,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)],[3672,138,theory(equality)]) ).
cnf(3684,plain,
( epred18_0
| holdsAt(X1,n2)
| releasedAt(X1,plus(n1,n1))
| overflow != esk5_2(X1,n1)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[3680,189,theory(equality)]) ).
cnf(3685,plain,
( epred18_0
| holdsAt(X1,n2)
| releasedAt(X1,n2)
| overflow != esk5_2(X1,n1)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[3684,189,theory(equality)]) ).
cnf(3979,plain,
( n3 = esk7_3(X1,X2,X3)
| ~ holdsAt(X2,esk9_3(X4,X5,X6))
| ~ releases(X1,X2,X3)
| ~ stoppedIn(X4,X5,X6) ),
inference(spm,[status(thm)],[378,3255,theory(equality)]) ).
cnf(3993,negated_conjecture,
( ~ releasedAt(X1,n3)
| ~ happens(X2,n2)
| waterLevel(n3) != X1
| overflow != X2 ),
inference(spm,[status(thm)],[3201,411,theory(equality)]) ).
fof(4009,plain,
( ~ epred26_0
<=> ! [X1] :
( waterLevel(n3) != X1
| ~ releasedAt(X1,n3) ) ),
introduced(definition),
[split] ).
cnf(4010,plain,
( epred26_0
| waterLevel(n3) != X1
| ~ releasedAt(X1,n3) ),
inference(split_equiv,[status(thm)],[4009]) ).
fof(4011,plain,
( ~ epred27_0
<=> ! [X2] :
( overflow != X2
| ~ happens(X2,n2) ) ),
introduced(definition),
[split] ).
cnf(4012,plain,
( epred27_0
| overflow != X2
| ~ happens(X2,n2) ),
inference(split_equiv,[status(thm)],[4011]) ).
cnf(4013,negated_conjecture,
( ~ epred27_0
| ~ epred26_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[3993,4009,theory(equality)]),4011,theory(equality)]),
[split] ).
cnf(4081,negated_conjecture,
( epred27_0
| overflow != X1
| ~ holdsAt(waterLevel(n3),n2)
| ~ holdsAt(filling,n2) ),
inference(spm,[status(thm)],[4012,96,theory(equality)]) ).
cnf(4086,negated_conjecture,
( epred27_0
| overflow != X1
| $false
| ~ holdsAt(filling,n2) ),
inference(rw,[status(thm)],[4081,196,theory(equality)]) ).
cnf(4087,negated_conjecture,
( epred27_0
| overflow != X1
| ~ holdsAt(filling,n2) ),
inference(cn,[status(thm)],[4086,theory(equality)]) ).
cnf(4484,plain,
( stoppedIn(X1,X2,n3)
| overflow != X3
| filling != X2
| ~ less(X1,n2)
| ~ happens(X3,n2) ),
inference(spm,[status(thm)],[527,648,theory(equality)]) ).
cnf(4622,plain,
( stoppedIn(X1,X2,X3)
| ~ stoppedIn(X4,X2,X5)
| ~ less(esk9_3(X4,X2,X5),X3)
| ~ less(X1,esk9_3(X4,X2,X5)) ),
inference(csr,[status(thm)],[528,171]) ).
cnf(4627,plain,
( stoppedIn(X1,X2,X3)
| ~ stoppedIn(X4,X2,X3)
| ~ less(X1,esk9_3(X4,X2,X3)) ),
inference(spm,[status(thm)],[4622,169,theory(equality)]) ).
cnf(4777,plain,
( holdsAt(X1,X2)
| releasedAt(X1,plus(X2,n1))
| happens(tapOn,X2)
| holdsAt(filling,X2)
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[109,532,theory(equality)]) ).
cnf(5416,plain,
( startedIn(X1,X2,X3)
| ~ less(X4,X3)
| ~ less(X1,X4)
| ~ happens(X5,X4)
| filling != X2
| tapOn != X5 ),
inference(spm,[status(thm)],[549,300,theory(equality)]) ).
cnf(5479,plain,
( filling = X1
| holdsAt(X1,n2)
| releasedAt(X1,n2)
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[551,189,theory(equality)]) ).
cnf(6181,plain,
( tapOn = tapOff
| overflow = tapOff
| holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(er,[status(thm)],[3087,theory(equality)]) ).
cnf(6182,plain,
( tapOff = overflow
| holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(sr,[status(thm)],[6181,183,theory(equality)]) ).
cnf(6183,plain,
( holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(sr,[status(thm)],[6182,73,theory(equality)]) ).
cnf(6189,plain,
( trajectory(filling,n0,waterLevel(X1),X2)
| plus(X3,X2) != X1
| waterLevel(n0) != waterLevel(X3) ),
inference(spm,[status(thm)],[182,6183,theory(equality)]) ).
cnf(6274,plain,
( releasedAt(X1,X2)
| happens(tapOn,X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[3298,209,theory(equality)]) ).
cnf(6830,plain,
( overflow != X1
| filling != X2
| ~ happens(X1,esk4_3(X3,X4,X2))
| ~ startedIn(X3,X2,X4) ),
inference(spm,[status(thm)],[3659,2548,theory(equality)]) ).
cnf(6961,plain,
( releasedAt(X1,n0)
| happens(tapOn,n0)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[6274,316,theory(equality)]) ).
cnf(7065,plain,
( happens(tapOn,n0)
| ~ releasedAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[211,6961,theory(equality)]) ).
cnf(7572,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| tapOn != X3
| n0 != X2 ),
inference(spm,[status(thm)],[1051,97,theory(equality)]) ).
cnf(8172,plain,
( overflow != esk3_3(X1,X2,X3)
| filling != X3
| ~ startedIn(X1,X3,X2) ),
inference(spm,[status(thm)],[6830,118,theory(equality)]) ).
cnf(8244,plain,
( esk4_3(X1,X2,X3) = n0
| filling != X3
| ~ startedIn(X1,X3,X2) ),
inference(spm,[status(thm)],[8172,444,theory(equality)]) ).
cnf(8255,plain,
( less(X1,n0)
| ~ startedIn(X1,X3,X2)
| filling != X3 ),
inference(spm,[status(thm)],[117,8244,theory(equality)]) ).
cnf(8298,plain,
( ~ startedIn(X1,X3,X2)
| filling != X3 ),
inference(sr,[status(thm)],[8255,245,theory(equality)]) ).
cnf(9447,plain,
( trajectory(filling,n0,waterLevel(plus(X1,X2)),X2)
| waterLevel(n0) != waterLevel(X1) ),
inference(er,[status(thm)],[6189,theory(equality)]) ).
cnf(9566,plain,
trajectory(filling,n0,waterLevel(n2),n2),
inference(spm,[status(thm)],[9447,190,theory(equality)]) ).
cnf(9574,plain,
( trajectory(filling,n0,waterLevel(plus(X2,X1)),X2)
| waterLevel(n0) != waterLevel(X1) ),
inference(spm,[status(thm)],[9447,209,theory(equality)]) ).
cnf(9580,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)],[83,9566,theory(equality)]) ).
cnf(9581,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)],[9580,190,theory(equality)]) ).
cnf(9582,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ less(n0,n2)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(rw,[status(thm)],[9581,190,theory(equality)]) ).
cnf(9631,plain,
trajectory(filling,n0,waterLevel(n1),n1),
inference(spm,[status(thm)],[9574,316,theory(equality)]) ).
cnf(9637,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)],[83,9631,theory(equality)]) ).
cnf(9638,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)],[9637,209,theory(equality)]),316,theory(equality)]) ).
cnf(9639,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)],[9638,209,theory(equality)]),316,theory(equality)]) ).
cnf(9640,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| $false
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(rw,[status(thm)],[9639,651,theory(equality)]) ).
cnf(9641,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(cn,[status(thm)],[9640,theory(equality)]) ).
cnf(9642,plain,
( holdsAt(waterLevel(n1),n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(sr,[status(thm)],[9641,1414,theory(equality)]) ).
cnf(9702,plain,
( holdsAt(waterLevel(n1),n1)
| ~ happens(X1,n0)
| ~ epred1_3(filling,n0,X1) ),
inference(spm,[status(thm)],[9642,178,theory(equality)]) ).
cnf(9733,plain,
( holdsAt(waterLevel(n1),n1)
| ~ epred1_3(filling,n0,X1)
| tapOn != X1 ),
inference(spm,[status(thm)],[9702,97,theory(equality)]) ).
cnf(9747,plain,
( holdsAt(waterLevel(n1),n1)
| tapOn != X1 ),
inference(spm,[status(thm)],[9733,300,theory(equality)]) ).
cnf(9755,plain,
holdsAt(waterLevel(n1),n1),
inference(er,[status(thm)],[9747,theory(equality)]) ).
cnf(9756,plain,
( X1 = n1
| ~ holdsAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[186,9755,theory(equality)]) ).
cnf(9757,plain,
( epred1_3(X1,n1,X2)
| waterLevel(n1) != X1
| tapOff != X2 ),
inference(spm,[status(thm)],[301,9755,theory(equality)]) ).
cnf(9758,plain,
( epred1_3(X1,n1,X2)
| waterLevel(n1) != X1
| overflow != X2 ),
inference(spm,[status(thm)],[302,9755,theory(equality)]) ).
cnf(9815,plain,
( overflow = X1
| tapOn = X1
| holdsAt(X2,n1)
| waterLevel(n1) != X2
| tapOff != X1 ),
inference(spm,[status(thm)],[3083,9757,theory(equality)]) ).
cnf(9891,plain,
( ~ releasedAt(X1,n2)
| ~ happens(X2,n1)
| waterLevel(n1) != X1
| overflow != X2 ),
inference(spm,[status(thm)],[1703,9758,theory(equality)]) ).
fof(9913,plain,
( ~ epred92_0
<=> ! [X1] :
( waterLevel(n1) != X1
| ~ releasedAt(X1,n2) ) ),
introduced(definition),
[split] ).
cnf(9914,plain,
( epred92_0
| waterLevel(n1) != X1
| ~ releasedAt(X1,n2) ),
inference(split_equiv,[status(thm)],[9913]) ).
fof(9915,plain,
( ~ epred93_0
<=> ! [X2] :
( overflow != X2
| ~ happens(X2,n1) ) ),
introduced(definition),
[split] ).
cnf(9916,plain,
( epred93_0
| overflow != X2
| ~ happens(X2,n1) ),
inference(split_equiv,[status(thm)],[9915]) ).
cnf(9917,plain,
( ~ epred93_0
| ~ epred92_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[9891,9913,theory(equality)]),9915,theory(equality)]),
[split] ).
cnf(9928,plain,
( epred92_0
| filling = X1
| holdsAt(X1,n2)
| waterLevel(n1) != X1
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[9914,5479,theory(equality)]) ).
cnf(10718,plain,
( tapOn = tapOff
| overflow = tapOff
| holdsAt(X1,n1)
| waterLevel(n1) != X1 ),
inference(er,[status(thm)],[9815,theory(equality)]) ).
cnf(10719,plain,
( tapOff = overflow
| holdsAt(X1,n1)
| waterLevel(n1) != X1 ),
inference(sr,[status(thm)],[10718,183,theory(equality)]) ).
cnf(10720,plain,
( holdsAt(X1,n1)
| waterLevel(n1) != X1 ),
inference(sr,[status(thm)],[10719,73,theory(equality)]) ).
cnf(10804,plain,
( filling = X1
| epred92_0
| holdsAt(X1,n2)
| waterLevel(n1) != X1 ),
inference(csr,[status(thm)],[9928,10720]) ).
cnf(10809,plain,
( X1 = n3
| filling = waterLevel(X1)
| epred92_0
| waterLevel(n1) != waterLevel(X1) ),
inference(spm,[status(thm)],[376,10804,theory(equality)]) ).
cnf(10854,plain,
( X1 = n3
| epred92_0
| waterLevel(n1) != waterLevel(X1) ),
inference(sr,[status(thm)],[10809,78,theory(equality)]) ).
cnf(10873,plain,
( n1 = n3
| epred92_0 ),
inference(er,[status(thm)],[10854,theory(equality)]) ).
cnf(10888,plain,
( less(n2,n1)
| epred92_0 ),
inference(spm,[status(thm)],[648,10873,theory(equality)]) ).
cnf(11127,plain,
epred92_0,
inference(sr,[status(thm)],[10888,663,theory(equality)]) ).
cnf(11183,plain,
( ~ epred93_0
| $false ),
inference(rw,[status(thm)],[9917,11127,theory(equality)]) ).
cnf(11184,plain,
~ epred93_0,
inference(cn,[status(thm)],[11183,theory(equality)]) ).
cnf(16177,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| n0 != X2 ),
inference(er,[status(thm)],[7572,theory(equality)]) ).
cnf(16229,plain,
( esk9_3(X1,X2,n2) = n0
| esk9_3(X1,X2,n2) = n1
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[365,851,theory(equality)]) ).
cnf(16256,plain,
( releasedAt(waterLevel(X1),n2)
| n0 != n1 ),
inference(spm,[status(thm)],[16177,189,theory(equality)]) ).
cnf(16257,plain,
( releasedAt(waterLevel(X1),plus(n1,X2))
| n0 != X2 ),
inference(spm,[status(thm)],[16177,209,theory(equality)]) ).
cnf(16667,plain,
( releasedAt(waterLevel(X1),n3)
| n0 != n2 ),
inference(spm,[status(thm)],[16257,188,theory(equality)]) ).
cnf(16670,plain,
releasedAt(waterLevel(X1),n1),
inference(spm,[status(thm)],[16257,316,theory(equality)]) ).
cnf(16727,plain,
( releasedAt(X2,n1)
| ~ releases(X1,X2,X3) ),
inference(spm,[status(thm)],[16670,157,theory(equality)]) ).
cnf(16787,plain,
( happens(tapOn,n0)
| $false ),
inference(rw,[status(thm)],[7065,16670,theory(equality)]) ).
cnf(16788,plain,
happens(tapOn,n0),
inference(cn,[status(thm)],[16787,theory(equality)]) ).
cnf(17064,plain,
( releasedAt(X1,n1)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[16727,88,theory(equality)]) ).
cnf(22105,plain,
( epred1_3(waterLevel(X1),X2,X3)
| overflow != X3
| ~ holdsAt(waterLevel(X1),X2) ),
inference(er,[status(thm)],[1529,theory(equality)]) ).
cnf(22143,plain,
( releasedAt(X1,n1)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[17064,189,theory(equality)]) ).
cnf(22432,plain,
( holdsAt(X1,plus(n0,n1))
| filling != X1 ),
inference(spm,[status(thm)],[1584,16788,theory(equality)]) ).
cnf(22445,plain,
( holdsAt(X1,n1)
| filling != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22432,209,theory(equality)]),316,theory(equality)]) ).
cnf(24716,plain,
( n0 = n2
| holdsAt(filling,n2)
| releasedAt(X1,n3)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[1790,188,theory(equality)]) ).
cnf(24763,plain,
( n2 = n0
| holdsAt(filling,n2)
| releasedAt(waterLevel(X1),n3)
| n0 != n1 ),
inference(spm,[status(thm)],[24716,16256,theory(equality)]) ).
cnf(24765,plain,
( holdsAt(filling,n2)
| releasedAt(waterLevel(X1),n3)
| n0 != n1 ),
inference(csr,[status(thm)],[24763,16667]) ).
cnf(24780,negated_conjecture,
( epred26_0
| holdsAt(filling,n2)
| waterLevel(n3) != waterLevel(X1)
| n0 != n1 ),
inference(spm,[status(thm)],[4010,24765,theory(equality)]) ).
cnf(24941,negated_conjecture,
( epred26_0
| holdsAt(filling,n2)
| n0 != n1 ),
inference(er,[status(thm)],[24780,theory(equality)]) ).
cnf(25470,plain,
( less(X1,n0)
| esk9_3(X1,X2,n2) = n1
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[170,16229,theory(equality)]) ).
cnf(25520,plain,
( esk9_3(X1,X2,n2) = n1
| ~ stoppedIn(X1,X2,n2) ),
inference(sr,[status(thm)],[25470,245,theory(equality)]) ).
cnf(25545,plain,
( happens(esk8_3(X1,X2,n2),n1)
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[171,25520,theory(equality)]) ).
cnf(25749,plain,
( epred93_0
| overflow != esk8_3(X1,X2,n2)
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[9916,25545,theory(equality)]) ).
cnf(25766,plain,
( esk8_3(X1,X2,n2) != overflow
| ~ stoppedIn(X1,X2,n2) ),
inference(sr,[status(thm)],[25749,11184,theory(equality)]) ).
cnf(25773,plain,
~ stoppedIn(X1,X2,n2),
inference(csr,[status(thm)],[25766,3246]) ).
cnf(75860,plain,
( n0 = n1
| holdsAt(filling,n1)
| holdsAt(X1,n2)
| releasedAt(X1,n1)
| X1 != filling ),
inference(csr,[status(thm)],[3450,22445]) ).
cnf(75861,plain,
( n0 = n1
| holdsAt(filling,n1)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[2292,75860,theory(equality)]) ).
cnf(81280,plain,
( n0 = n1
| holdsAt(filling,plus(n1,n1))
| holdsAt(waterLevel(n3),n1)
| ~ holdsAt(filling,n1) ),
inference(spm,[status(thm)],[2292,3536,theory(equality)]) ).
cnf(81539,plain,
( n0 = n1
| holdsAt(filling,n2)
| holdsAt(waterLevel(n3),n1)
| ~ holdsAt(filling,n1) ),
inference(rw,[status(thm)],[81280,189,theory(equality)]) ).
cnf(81842,plain,
( n0 = n1
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(csr,[status(thm)],[81539,75861]) ).
cnf(81867,plain,
( n3 = n1
| n0 = n1
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[9756,81842,theory(equality)]) ).
cnf(82000,plain,
( epred19_0
| n0 = n1
| n3 = n1 ),
inference(spm,[status(thm)],[3674,81867,theory(equality)]) ).
cnf(82002,plain,
( epred27_0
| n0 = n1
| n3 = n1
| overflow != X1 ),
inference(spm,[status(thm)],[4087,81867,theory(equality)]) ).
cnf(83756,plain,
( less(n2,n1)
| n0 = n1
| epred19_0 ),
inference(spm,[status(thm)],[648,82000,theory(equality)]) ).
cnf(84542,plain,
( n0 = n1
| epred19_0 ),
inference(sr,[status(thm)],[83756,663,theory(equality)]) ).
cnf(84631,plain,
( less(n1,n1)
| epred19_0 ),
inference(spm,[status(thm)],[651,84542,theory(equality)]) ).
cnf(84824,plain,
epred19_0,
inference(sr,[status(thm)],[84631,305,theory(equality)]) ).
cnf(84854,plain,
( $false
| ~ epred18_0 ),
inference(rw,[status(thm)],[3675,84824,theory(equality)]) ).
cnf(84855,plain,
~ epred18_0,
inference(cn,[status(thm)],[84854,theory(equality)]) ).
cnf(88458,plain,
( n3 = n1
| n0 = n1
| epred27_0 ),
inference(er,[status(thm)],[82002,theory(equality)]) ).
cnf(88464,plain,
( less(n2,n1)
| n0 = n1
| epred27_0 ),
inference(spm,[status(thm)],[648,88458,theory(equality)]) ).
cnf(89123,plain,
( n0 = n1
| epred27_0 ),
inference(sr,[status(thm)],[88464,663,theory(equality)]) ).
cnf(89212,plain,
( less(n1,n1)
| epred27_0 ),
inference(spm,[status(thm)],[651,89123,theory(equality)]) ).
cnf(89386,plain,
epred27_0,
inference(sr,[status(thm)],[89212,305,theory(equality)]) ).
cnf(89442,negated_conjecture,
( $false
| ~ epred26_0 ),
inference(rw,[status(thm)],[4013,89386,theory(equality)]) ).
cnf(89443,negated_conjecture,
~ epred26_0,
inference(cn,[status(thm)],[89442,theory(equality)]) ).
cnf(95360,plain,
( ~ releasedAt(waterLevel(X1),n3)
| ~ happens(X2,n2)
| overflow != X2
| ~ holdsAt(waterLevel(X1),n2) ),
inference(spm,[status(thm)],[3201,22105,theory(equality)]) ).
fof(95461,plain,
( ~ epred198_0
<=> ! [X1] :
( ~ holdsAt(waterLevel(X1),n2)
| ~ releasedAt(waterLevel(X1),n3) ) ),
introduced(definition),
[split] ).
cnf(95462,plain,
( epred198_0
| ~ holdsAt(waterLevel(X1),n2)
| ~ releasedAt(waterLevel(X1),n3) ),
inference(split_equiv,[status(thm)],[95461]) ).
fof(95463,plain,
( ~ epred199_0
<=> ! [X2] :
( overflow != X2
| ~ happens(X2,n2) ) ),
introduced(definition),
[split] ).
cnf(95464,plain,
( epred199_0
| overflow != X2
| ~ happens(X2,n2) ),
inference(split_equiv,[status(thm)],[95463]) ).
cnf(95465,plain,
( ~ epred199_0
| ~ epred198_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[95360,95461,theory(equality)]),95463,theory(equality)]),
[split] ).
cnf(95535,plain,
( epred199_0
| overflow != X1
| ~ holdsAt(waterLevel(n3),n2)
| ~ holdsAt(filling,n2) ),
inference(spm,[status(thm)],[95464,96,theory(equality)]) ).
cnf(95541,plain,
( epred199_0
| overflow != X1
| $false
| ~ holdsAt(filling,n2) ),
inference(rw,[status(thm)],[95535,196,theory(equality)]) ).
cnf(95542,plain,
( epred199_0
| overflow != X1
| ~ holdsAt(filling,n2) ),
inference(cn,[status(thm)],[95541,theory(equality)]) ).
cnf(95553,negated_conjecture,
( epred199_0
| epred26_0
| overflow != X1
| n0 != n1 ),
inference(spm,[status(thm)],[95542,24941,theory(equality)]) ).
cnf(95574,plain,
( epred199_0
| n0 = n1
| n3 = n1
| overflow != X1 ),
inference(spm,[status(thm)],[95542,81867,theory(equality)]) ).
cnf(95589,negated_conjecture,
( epred199_0
| overflow != X1
| n0 != n1 ),
inference(sr,[status(thm)],[95553,89443,theory(equality)]) ).
cnf(95652,plain,
( n3 = n1
| epred199_0
| overflow != X1 ),
inference(csr,[status(thm)],[95574,95589]) ).
cnf(95653,plain,
( n3 = n1
| epred199_0 ),
inference(er,[status(thm)],[95652,theory(equality)]) ).
cnf(95659,plain,
( less(n2,n1)
| epred199_0 ),
inference(spm,[status(thm)],[648,95653,theory(equality)]) ).
cnf(96194,plain,
epred199_0,
inference(sr,[status(thm)],[95659,663,theory(equality)]) ).
cnf(96321,plain,
( $false
| ~ epred198_0 ),
inference(rw,[status(thm)],[95465,96194,theory(equality)]) ).
cnf(96322,plain,
~ epred198_0,
inference(cn,[status(thm)],[96321,theory(equality)]) ).
cnf(96330,plain,
( ~ holdsAt(waterLevel(X1),n2)
| ~ releasedAt(waterLevel(X1),n3) ),
inference(sr,[status(thm)],[95462,96322,theory(equality)]) ).
cnf(96352,plain,
( ~ holdsAt(waterLevel(X1),n2)
| n2 != n0 ),
inference(spm,[status(thm)],[96330,16667,theory(equality)]) ).
cnf(96358,plain,
( holdsAt(filling,n2)
| ~ holdsAt(waterLevel(X1),n2)
| n0 != n1 ),
inference(spm,[status(thm)],[96330,24765,theory(equality)]) ).
cnf(96477,negated_conjecture,
n2 != n0,
inference(spm,[status(thm)],[96352,196,theory(equality)]) ).
cnf(96545,negated_conjecture,
( holdsAt(filling,n2)
| n0 != n1 ),
inference(spm,[status(thm)],[96358,196,theory(equality)]) ).
cnf(100614,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| esk5_2(X1,n1) != overflow
| ~ holdsAt(X1,n1) ),
inference(sr,[status(thm)],[3685,84855,theory(equality)]) ).
cnf(100615,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| n0 = n1
| holdsAt(X1,plus(n1,n1))
| releasedAt(X1,plus(n1,n1))
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[100614,484,theory(equality)]) ).
cnf(100622,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| n0 = n1
| holdsAt(X1,n2)
| releasedAt(X1,plus(n1,n1))
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[100615,189,theory(equality)]) ).
cnf(100623,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| n0 = n1
| holdsAt(X1,n2)
| releasedAt(X1,n2)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[100622,189,theory(equality)]) ).
cnf(100624,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| n0 = n1
| ~ holdsAt(X1,n1) ),
inference(cn,[status(thm)],[100623,theory(equality)]) ).
cnf(100880,plain,
( releasedAt(X1,n1)
| n0 = n1
| holdsAt(X1,n2)
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[22143,100624,theory(equality)]) ).
cnf(106505,plain,
( n0 = n1
| holdsAt(filling,n2)
| ~ holdsAt(filling,n1) ),
inference(spm,[status(thm)],[2292,100880,theory(equality)]) ).
cnf(106530,plain,
( n0 = n1
| holdsAt(filling,n2) ),
inference(csr,[status(thm)],[106505,75861]) ).
cnf(106531,plain,
holdsAt(filling,n2),
inference(csr,[status(thm)],[106530,96545]) ).
cnf(108135,plain,
( esk7_3(X1,filling,X2) = n3
| ~ stoppedIn(X3,X4,X5)
| ~ releases(X1,filling,X2) ),
inference(spm,[status(thm)],[3979,3254,theory(equality)]) ).
cnf(127941,plain,
( stoppedIn(X1,X2,n3)
| overflow != X3
| filling != X2
| ~ less(X1,n2)
| ~ holdsAt(waterLevel(n3),n2)
| ~ holdsAt(filling,n2) ),
inference(spm,[status(thm)],[4484,96,theory(equality)]) ).
cnf(127948,plain,
( stoppedIn(X1,X2,n3)
| overflow != X3
| filling != X2
| ~ less(X1,n2)
| $false
| ~ holdsAt(filling,n2) ),
inference(rw,[status(thm)],[127941,196,theory(equality)]) ).
cnf(127949,plain,
( stoppedIn(X1,X2,n3)
| overflow != X3
| filling != X2
| ~ less(X1,n2)
| $false
| $false ),
inference(rw,[status(thm)],[127948,106531,theory(equality)]) ).
cnf(127950,plain,
( stoppedIn(X1,X2,n3)
| overflow != X3
| filling != X2
| ~ less(X1,n2) ),
inference(cn,[status(thm)],[127949,theory(equality)]) ).
cnf(127957,plain,
( stoppedIn(X1,X2,n3)
| filling != X2
| ~ less(X1,n2) ),
inference(er,[status(thm)],[127950,theory(equality)]) ).
cnf(139173,plain,
( stoppedIn(n0,X1,X2)
| esk9_3(X3,X1,X2) = n0
| ~ stoppedIn(X3,X1,X2) ),
inference(spm,[status(thm)],[4627,343,theory(equality)]) ).
cnf(139337,plain,
( less(X1,n0)
| stoppedIn(n0,X2,X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[170,139173,theory(equality)]) ).
cnf(139459,plain,
( stoppedIn(n0,X2,X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[139337,245,theory(equality)]) ).
cnf(139539,plain,
( stoppedIn(n0,X1,n3)
| filling != X1
| ~ less(X2,n2) ),
inference(spm,[status(thm)],[139459,127957,theory(equality)]) ).
cnf(139550,plain,
( stoppedIn(n0,X1,n3)
| filling != X1 ),
inference(spm,[status(thm)],[139539,650,theory(equality)]) ).
cnf(139608,plain,
( esk7_3(X1,filling,X2) = n3
| ~ releases(X1,filling,X2)
| filling != X3 ),
inference(spm,[status(thm)],[108135,139550,theory(equality)]) ).
cnf(140178,plain,
( esk7_3(X1,filling,X2) = n3
| ~ releases(X1,filling,X2) ),
inference(er,[status(thm)],[139608,theory(equality)]) ).
cnf(140212,plain,
( waterLevel(n3) = filling
| ~ releases(X1,filling,X2) ),
inference(spm,[status(thm)],[157,140178,theory(equality)]) ).
cnf(140241,plain,
~ releases(X1,filling,X2),
inference(sr,[status(thm)],[140212,78,theory(equality)]) ).
cnf(140242,plain,
( releasedAt(filling,X1)
| ~ releasedAt(filling,plus(X1,n1)) ),
inference(spm,[status(thm)],[140241,88,theory(equality)]) ).
cnf(140245,plain,
( releasedAt(filling,X1)
| ~ releasedAt(filling,plus(n1,X1)) ),
inference(spm,[status(thm)],[140242,209,theory(equality)]) ).
cnf(146941,plain,
( releasedAt(filling,n1)
| holdsAt(filling,n1)
| happens(tapOn,n1)
| ~ holdsAt(filling,plus(n1,n1)) ),
inference(spm,[status(thm)],[140245,4777,theory(equality)]) ).
cnf(146950,plain,
( releasedAt(filling,n1)
| holdsAt(filling,n1)
| happens(tapOn,n1)
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[146941,189,theory(equality)]),106531,theory(equality)]) ).
cnf(146951,plain,
( releasedAt(filling,n1)
| holdsAt(filling,n1)
| happens(tapOn,n1) ),
inference(cn,[status(thm)],[146950,theory(equality)]) ).
cnf(146952,plain,
( holdsAt(filling,n1)
| happens(tapOn,n1) ),
inference(sr,[status(thm)],[146951,2292,theory(equality)]) ).
cnf(169940,plain,
( filling != X2
| tapOn != X5
| ~ less(X4,X3)
| ~ less(X1,X4)
| ~ happens(X5,X4) ),
inference(csr,[status(thm)],[5416,8298]) ).
fof(169941,plain,
( ~ epred541_0
<=> ! [X2] : filling != X2 ),
introduced(definition),
[split] ).
cnf(169942,plain,
( epred541_0
| filling != X2 ),
inference(split_equiv,[status(thm)],[169941]) ).
fof(169943,plain,
( ~ epred542_0
<=> ! [X1,X3,X4,X5] :
( ~ happens(X5,X4)
| ~ less(X1,X4)
| ~ less(X4,X3)
| tapOn != X5 ) ),
introduced(definition),
[split] ).
cnf(169944,plain,
( epred542_0
| ~ happens(X5,X4)
| ~ less(X1,X4)
| ~ less(X4,X3)
| tapOn != X5 ),
inference(split_equiv,[status(thm)],[169943]) ).
cnf(169945,plain,
( ~ epred542_0
| ~ epred541_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[169940,169941,theory(equality)]),169943,theory(equality)]),
[split] ).
cnf(169946,plain,
epred541_0,
inference(er,[status(thm)],[169942,theory(equality)]) ).
cnf(169948,plain,
( ~ epred542_0
| $false ),
inference(rw,[status(thm)],[169945,169946,theory(equality)]) ).
cnf(169949,plain,
~ epred542_0,
inference(cn,[status(thm)],[169948,theory(equality)]) ).
cnf(212702,plain,
( ~ happens(X5,X4)
| ~ less(X1,X4)
| ~ less(X4,X3)
| tapOn != X5 ),
inference(sr,[status(thm)],[169944,169949,theory(equality)]) ).
cnf(212706,plain,
( tapOn != X1
| ~ less(n1,X2)
| ~ happens(X1,n1) ),
inference(spm,[status(thm)],[212702,651,theory(equality)]) ).
fof(212939,plain,
( ~ epred613_0
<=> ! [X1] :
( ~ happens(X1,n1)
| tapOn != X1 ) ),
introduced(definition),
[split] ).
cnf(212940,plain,
( epred613_0
| ~ happens(X1,n1)
| tapOn != X1 ),
inference(split_equiv,[status(thm)],[212939]) ).
fof(212941,plain,
( ~ epred614_0
<=> ! [X2] : ~ less(n1,X2) ),
introduced(definition),
[split] ).
cnf(212942,plain,
( epred614_0
| ~ less(n1,X2) ),
inference(split_equiv,[status(thm)],[212941]) ).
cnf(212943,plain,
( ~ epred614_0
| ~ epred613_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[212706,212939,theory(equality)]),212941,theory(equality)]),
[split] ).
cnf(213619,plain,
epred614_0,
inference(spm,[status(thm)],[212942,650,theory(equality)]) ).
cnf(213666,plain,
( $false
| ~ epred613_0 ),
inference(rw,[status(thm)],[212943,213619,theory(equality)]) ).
cnf(213667,plain,
~ epred613_0,
inference(cn,[status(thm)],[213666,theory(equality)]) ).
cnf(215936,plain,
( ~ happens(X1,n1)
| tapOn != X1 ),
inference(sr,[status(thm)],[212940,213667,theory(equality)]) ).
cnf(215945,plain,
holdsAt(filling,n1),
inference(spm,[status(thm)],[215936,146952,theory(equality)]) ).
cnf(411120,plain,
( holdsAt(waterLevel(n2),n2)
| ~ less(n0,n2)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(sr,[status(thm)],[9582,25773,theory(equality)]) ).
cnf(411122,plain,
( holdsAt(waterLevel(n2),n2)
| holdsAt(filling,n0)
| releasedAt(filling,plus(n0,n1))
| ~ less(n0,n2)
| ~ happens(esk2_2(filling,n0),n0)
| ~ holdsAt(filling,plus(n0,n1)) ),
inference(spm,[status(thm)],[411120,108,theory(equality)]) ).
cnf(411124,plain,
( holdsAt(waterLevel(n2),n2)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| ~ less(n0,n2)
| ~ happens(esk2_2(filling,n0),n0)
| ~ holdsAt(filling,plus(n0,n1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[411122,209,theory(equality)]),316,theory(equality)]) ).
cnf(411125,plain,
( holdsAt(waterLevel(n2),n2)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| ~ less(n0,n2)
| ~ happens(esk2_2(filling,n0),n0)
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[411124,209,theory(equality)]),316,theory(equality)]),215945,theory(equality)]) ).
cnf(411126,plain,
( holdsAt(waterLevel(n2),n2)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| ~ less(n0,n2)
| ~ happens(esk2_2(filling,n0),n0) ),
inference(cn,[status(thm)],[411125,theory(equality)]) ).
cnf(411127,plain,
( holdsAt(waterLevel(n2),n2)
| releasedAt(filling,n1)
| ~ less(n0,n2)
| ~ happens(esk2_2(filling,n0),n0) ),
inference(sr,[status(thm)],[411126,218,theory(equality)]) ).
cnf(411128,plain,
( holdsAt(waterLevel(n2),n2)
| ~ less(n0,n2)
| ~ happens(esk2_2(filling,n0),n0) ),
inference(sr,[status(thm)],[411127,2292,theory(equality)]) ).
cnf(415023,plain,
( holdsAt(waterLevel(n2),n2)
| holdsAt(filling,n0)
| releasedAt(filling,plus(n0,n1))
| ~ less(n0,n2)
| ~ holdsAt(filling,plus(n0,n1)) ),
inference(spm,[status(thm)],[411128,109,theory(equality)]) ).
cnf(415040,plain,
( holdsAt(waterLevel(n2),n2)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| ~ less(n0,n2)
| ~ holdsAt(filling,plus(n0,n1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[415023,209,theory(equality)]),316,theory(equality)]) ).
cnf(415041,plain,
( holdsAt(waterLevel(n2),n2)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| ~ less(n0,n2)
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[415040,209,theory(equality)]),316,theory(equality)]),215945,theory(equality)]) ).
cnf(415042,plain,
( holdsAt(waterLevel(n2),n2)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| ~ less(n0,n2) ),
inference(cn,[status(thm)],[415041,theory(equality)]) ).
cnf(415043,plain,
( holdsAt(waterLevel(n2),n2)
| releasedAt(filling,n1)
| ~ less(n0,n2) ),
inference(sr,[status(thm)],[415042,218,theory(equality)]) ).
cnf(415044,plain,
( holdsAt(waterLevel(n2),n2)
| ~ less(n0,n2) ),
inference(sr,[status(thm)],[415043,2292,theory(equality)]) ).
cnf(415103,plain,
( holdsAt(waterLevel(n2),n2)
| n2 = n0 ),
inference(spm,[status(thm)],[415044,343,theory(equality)]) ).
cnf(415109,plain,
holdsAt(waterLevel(n2),n2),
inference(sr,[status(thm)],[415103,96477,theory(equality)]) ).
cnf(415123,plain,
n2 = n3,
inference(spm,[status(thm)],[376,415109,theory(equality)]) ).
cnf(415469,plain,
less(n3,n3),
inference(rw,[status(thm)],[648,415123,theory(equality)]) ).
cnf(415470,plain,
$false,
inference(sr,[status(thm)],[415469,305,theory(equality)]) ).
cnf(415471,plain,
$false,
415470,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR007+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/tmpQcR-gk/sel_CSR007+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpQcR-gk/sel_CSR007+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/tmpQcR-gk/sel_CSR007+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/tmpQcR-gk/sel_CSR007+1.p_4 with time limit 56
% -prover status ResourceOut
% --creating new selector for [CSR001+0.ax, CSR001+1.ax]
% -running prover on /tmp/tmpQcR-gk/sel_CSR007+1.p_5 with time limit 54
% -prover status Theorem
% Problem CSR007+1.p solved in phase 4.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR007+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR007+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
%
%------------------------------------------------------------------------------