TSTP Solution File: CSR005+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR005+2 : TPTP v5.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 05:56:37 EST 2010
% Result : Theorem 278.24s
% Output : CNFRefutation 278.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 46
% Syntax : Number of formulae : 448 ( 74 unt; 0 def)
% Number of atoms : 1846 ( 563 equ)
% Maximal formula atoms : 194 ( 4 avg)
% Number of connectives : 2204 ( 806 ~;1108 |; 252 &)
% ( 22 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 50 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 9 prp; 0-4 aty)
% Number of functors : 21 ( 21 usr; 9 con; 0-3 aty)
% Number of variables : 818 ( 63 sgn 310 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
tapOff != overflow,
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',tapOff_not_overflow) ).
fof(2,axiom,
! [X1,X2,X3] :
( ( happens(X1,X2)
& releases(X1,X3,X2) )
=> releasedAt(X3,plus(X2,n1)) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',happens_releases) ).
fof(3,axiom,
! [X4] : filling != waterLevel(X4),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',filling_not_waterLevel) ).
fof(5,axiom,
! [X1,X2,X3,X5,X6] :
( ( happens(X1,X2)
& initiates(X1,X3,X2)
& less(n0,X6)
& trajectory(X3,X2,X5,X6)
& ~ stoppedIn(X2,X3,plus(X2,X6)) )
=> holdsAt(X5,plus(X2,X6)) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',change_holding) ).
fof(6,axiom,
! [X3,X2] :
( ( ~ releasedAt(X3,X2)
& ~ ? [X1] :
( happens(X1,X2)
& releases(X1,X3,X2) ) )
=> ~ releasedAt(X3,plus(X2,n1)) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',keep_not_released) ).
fof(7,axiom,
! [X1,X2,X3] :
( ( happens(X1,X2)
& initiates(X1,X3,X2) )
=> holdsAt(X3,plus(X2,n1)) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',happens_holds) ).
fof(8,axiom,
! [X1,X2] :
( happens(X1,X2)
<=> ( ( X1 = tapOn
& X2 = n0 )
| ( holdsAt(waterLevel(n3),X2)
& holdsAt(filling,X2)
& X1 = overflow ) ) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.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/tmpN6PsTI/sel_CSR005+2.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/tmpN6PsTI/sel_CSR005+2.p_5',startedin_defn) ).
fof(11,axiom,
! [X1,X3,X2] :
( terminates(X1,X3,X2)
<=> ( ( X1 = tapOff
& X3 = filling )
| ( X1 = overflow
& X3 = filling ) ) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',terminates_all_defn) ).
fof(13,axiom,
! [X3,X2] :
( ( holdsAt(X3,X2)
& ~ releasedAt(X3,plus(X2,n1))
& ~ ? [X1] :
( happens(X1,X2)
& terminates(X1,X3,X2) ) )
=> holdsAt(X3,plus(X2,n1)) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',keep_holding) ).
fof(15,axiom,
! [X1,X2,X3] :
( ( happens(X1,X2)
& ( initiates(X1,X3,X2)
| terminates(X1,X3,X2) ) )
=> ~ releasedAt(X3,plus(X2,n1)) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',happens_not_released) ).
fof(16,axiom,
overflow != tapOn,
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',overflow_not_tapOn) ).
fof(18,axiom,
! [X1,X3,X2] :
( releases(X1,X3,X2)
<=> ? [X10] :
( X1 = tapOn
& X3 = waterLevel(X10) ) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',releases_all_defn) ).
fof(20,axiom,
! [X7,X3,X8] :
( stoppedIn(X7,X3,X8)
<=> ? [X1,X2] :
( happens(X1,X2)
& less(X7,X2)
& less(X2,X8)
& terminates(X1,X3,X2) ) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',stoppedin_defn) ).
fof(21,axiom,
! [X1,X2,X3] :
( ( happens(X1,X2)
& terminates(X1,X3,X2) )
=> ~ holdsAt(X3,plus(X2,n1)) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',happens_terminates_not_holds) ).
fof(22,axiom,
! [X1,X3,X2] :
( initiates(X1,X3,X2)
<=> ( ( X1 = tapOn
& X3 = filling )
| ( X1 = overflow
& X3 = spilling )
| ? [X10] :
( holdsAt(waterLevel(X10),X2)
& X1 = tapOff
& X3 = waterLevel(X10) )
| ? [X10] :
( holdsAt(waterLevel(X10),X2)
& X1 = overflow
& X3 = waterLevel(X10) ) ) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',initiates_all_defn) ).
fof(23,axiom,
! [X12,X2,X13,X6] :
( ( holdsAt(waterLevel(X12),X2)
& X13 = plus(X12,X6) )
=> trajectory(filling,X2,waterLevel(X13),X6) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',change_of_waterLevel) ).
fof(24,axiom,
tapOff != tapOn,
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',tapOff_not_tapOn) ).
fof(25,axiom,
! [X2,X12,X13] :
( ( holdsAt(waterLevel(X12),X2)
& holdsAt(waterLevel(X13),X2) )
=> X12 = X13 ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',same_waterLevel) ).
fof(27,axiom,
plus(n1,n2) = n3,
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',plus1_2) ).
fof(28,axiom,
plus(n1,n1) = n2,
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',plus1_1) ).
fof(29,axiom,
~ releasedAt(filling,n3),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',filling_3_l1) ).
fof(30,axiom,
plus(n0,n2) = n2,
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',plus0_2) ).
fof(33,axiom,
plus(n0,n1) = n1,
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',plus0_1) ).
fof(34,axiom,
holdsAt(waterLevel(n0),n0),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',waterLevel_0) ).
fof(40,axiom,
! [X4,X9] :
( less(X4,X9)
<=> ( ~ less(X9,X4)
& X9 != X4 ) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',less_property) ).
fof(41,axiom,
~ releasedAt(filling,n0),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',not_released_filling_0) ).
fof(42,axiom,
! [X4,X9] : plus(X4,X9) = plus(X9,X4),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',symmetry_of_plus) ).
fof(43,axiom,
! [X10] : ~ releasedAt(waterLevel(X10),n0),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',not_released_waterLevel_0) ).
fof(44,conjecture,
holdsAt(filling,n3),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',filling_3) ).
fof(45,axiom,
! [X4,X9] :
( less_or_equal(X4,X9)
<=> ( less(X4,X9)
| X4 = X9 ) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',less_or_equal) ).
fof(46,axiom,
~ holdsAt(filling,n0),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',not_filling_0) ).
fof(53,axiom,
~ ? [X4] : less(X4,n0),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',less0) ).
fof(54,axiom,
! [X4] :
( less(X4,n1)
<=> less_or_equal(X4,n0) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',less1) ).
fof(55,axiom,
! [X4] :
( less(X4,n2)
<=> less_or_equal(X4,n1) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',less2) ).
fof(56,axiom,
! [X4] :
( less(X4,n3)
<=> less_or_equal(X4,n2) ),
file('/tmp/tmpN6PsTI/sel_CSR005+2.p_5',less3) ).
fof(57,negated_conjecture,
~ holdsAt(filling,n3),
inference(assume_negation,[status(cth)],[44]) ).
fof(58,plain,
! [X1,X2,X3,X5,X6] :
( ( happens(X1,X2)
& initiates(X1,X3,X2)
& less(n0,X6)
& trajectory(X3,X2,X5,X6)
& ~ stoppedIn(X2,X3,plus(X2,X6)) )
=> holdsAt(X5,plus(X2,X6)) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(59,plain,
! [X3,X2] :
( ( ~ releasedAt(X3,X2)
& ~ ? [X1] :
( happens(X1,X2)
& releases(X1,X3,X2) ) )
=> ~ releasedAt(X3,plus(X2,n1)) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(60,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(61,plain,
! [X3,X2] :
( ( holdsAt(X3,X2)
& ~ releasedAt(X3,plus(X2,n1))
& ~ ? [X1] :
( happens(X1,X2)
& terminates(X1,X3,X2) ) )
=> holdsAt(X3,plus(X2,n1)) ),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(62,plain,
! [X1,X2,X3] :
( ( happens(X1,X2)
& ( initiates(X1,X3,X2)
| terminates(X1,X3,X2) ) )
=> ~ releasedAt(X3,plus(X2,n1)) ),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
fof(64,plain,
! [X1,X2,X3] :
( ( happens(X1,X2)
& terminates(X1,X3,X2) )
=> ~ holdsAt(X3,plus(X2,n1)) ),
inference(fof_simplification,[status(thm)],[21,theory(equality)]) ).
fof(65,plain,
~ releasedAt(filling,n3),
inference(fof_simplification,[status(thm)],[29,theory(equality)]) ).
fof(68,plain,
! [X4,X9] :
( less(X4,X9)
<=> ( ~ less(X9,X4)
& X9 != X4 ) ),
inference(fof_simplification,[status(thm)],[40,theory(equality)]) ).
fof(69,plain,
~ releasedAt(filling,n0),
inference(fof_simplification,[status(thm)],[41,theory(equality)]) ).
fof(70,plain,
! [X10] : ~ releasedAt(waterLevel(X10),n0),
inference(fof_simplification,[status(thm)],[43,theory(equality)]) ).
fof(71,negated_conjecture,
~ holdsAt(filling,n3),
inference(fof_simplification,[status(thm)],[57,theory(equality)]) ).
fof(72,plain,
~ holdsAt(filling,n0),
inference(fof_simplification,[status(thm)],[46,theory(equality)]) ).
fof(73,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(74,plain,
! [X1,X3,X2] :
( initiates(X1,X3,X2)
<=> epred1_3(X3,X2,X1) ),
inference(apply_def,[status(esa)],[22,73,theory(equality)]) ).
cnf(75,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[1]) ).
fof(76,plain,
! [X1,X2,X3] :
( ~ happens(X1,X2)
| ~ releases(X1,X3,X2)
| releasedAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(77,plain,
! [X4,X5,X6] :
( ~ happens(X4,X5)
| ~ releases(X4,X6,X5)
| releasedAt(X6,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[76]) ).
cnf(78,plain,
( releasedAt(X1,plus(X2,n1))
| ~ releases(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[77]) ).
fof(79,plain,
! [X5] : filling != waterLevel(X5),
inference(variable_rename,[status(thm)],[3]) ).
cnf(80,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[79]) ).
fof(83,plain,
! [X1,X2,X3,X5,X6] :
( ~ happens(X1,X2)
| ~ initiates(X1,X3,X2)
| ~ less(n0,X6)
| ~ trajectory(X3,X2,X5,X6)
| stoppedIn(X2,X3,plus(X2,X6))
| holdsAt(X5,plus(X2,X6)) ),
inference(fof_nnf,[status(thm)],[58]) ).
fof(84,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)],[83]) ).
cnf(85,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)],[84]) ).
fof(86,plain,
! [X3,X2] :
( releasedAt(X3,X2)
| ? [X1] :
( happens(X1,X2)
& releases(X1,X3,X2) )
| ~ releasedAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[59]) ).
fof(87,plain,
! [X4,X5] :
( releasedAt(X4,X5)
| ? [X6] :
( happens(X6,X5)
& releases(X6,X4,X5) )
| ~ releasedAt(X4,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[86]) ).
fof(88,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)],[87]) ).
fof(89,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)],[88]) ).
cnf(90,plain,
( releasedAt(X1,X2)
| releases(esk1_2(X1,X2),X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[89]) ).
cnf(91,plain,
( releasedAt(X1,X2)
| happens(esk1_2(X1,X2),X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[89]) ).
fof(92,plain,
! [X1,X2,X3] :
( ~ happens(X1,X2)
| ~ initiates(X1,X3,X2)
| holdsAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(93,plain,
! [X4,X5,X6] :
( ~ happens(X4,X5)
| ~ initiates(X4,X6,X5)
| holdsAt(X6,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[92]) ).
cnf(94,plain,
( holdsAt(X1,plus(X2,n1))
| ~ initiates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[93]) ).
fof(95,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(96,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)],[95]) ).
fof(97,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)],[96]) ).
cnf(98,plain,
( happens(X1,X2)
| X1 != overflow
| ~ holdsAt(filling,X2)
| ~ holdsAt(waterLevel(n3),X2) ),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(99,plain,
( happens(X1,X2)
| X2 != n0
| X1 != tapOn ),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(100,plain,
( X2 = n0
| X1 = overflow
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(101,plain,
( X2 = n0
| holdsAt(filling,X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(102,plain,
( X2 = n0
| holdsAt(waterLevel(n3),X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(103,plain,
( X1 = tapOn
| X1 = overflow
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(104,plain,
( X1 = tapOn
| holdsAt(filling,X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(105,plain,
( X1 = tapOn
| holdsAt(waterLevel(n3),X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[97]) ).
fof(106,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)],[60]) ).
fof(107,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)],[106]) ).
fof(108,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)],[107]) ).
fof(109,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)],[108]) ).
cnf(110,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)],[109]) ).
cnf(111,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)],[109]) ).
fof(112,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(113,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)],[112]) ).
fof(114,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)],[113]) ).
fof(115,plain,
! [X9,X10,X11,X14,X15] :
( ( ~ happens(X14,X15)
| ~ less(X9,X15)
| ~ less(X15,X10)
| ~ initiates(X14,X11,X15)
| startedIn(X9,X11,X10) )
& ( ~ 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)],[114]) ).
fof(116,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)],[115]) ).
cnf(117,plain,
( initiates(esk3_3(X1,X3,X2),X2,esk4_3(X1,X3,X2))
| ~ startedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[116]) ).
cnf(119,plain,
( less(X1,esk4_3(X1,X3,X2))
| ~ startedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[116]) ).
cnf(120,plain,
( happens(esk3_3(X1,X3,X2),esk4_3(X1,X3,X2))
| ~ startedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[116]) ).
cnf(121,plain,
( startedIn(X1,X2,X3)
| ~ initiates(X4,X2,X5)
| ~ less(X5,X3)
| ~ less(X1,X5)
| ~ happens(X4,X5) ),
inference(split_conjunct,[status(thm)],[116]) ).
fof(122,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(123,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)],[122]) ).
fof(124,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)],[123]) ).
cnf(125,plain,
( terminates(X1,X2,X3)
| X2 != filling
| X1 != overflow ),
inference(split_conjunct,[status(thm)],[124]) ).
cnf(130,plain,
( X1 = tapOff
| X1 = overflow
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[124]) ).
fof(135,plain,
! [X3,X2] :
( ~ holdsAt(X3,X2)
| releasedAt(X3,plus(X2,n1))
| ? [X1] :
( happens(X1,X2)
& terminates(X1,X3,X2) )
| holdsAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(136,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)],[135]) ).
fof(137,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)],[136]) ).
fof(138,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)],[137]) ).
cnf(139,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)],[138]) ).
cnf(140,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)],[138]) ).
fof(147,plain,
! [X1,X2,X3] :
( ~ happens(X1,X2)
| ( ~ initiates(X1,X3,X2)
& ~ terminates(X1,X3,X2) )
| ~ releasedAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[62]) ).
fof(148,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)],[147]) ).
fof(149,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)],[148]) ).
cnf(151,plain,
( ~ releasedAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| ~ initiates(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(152,plain,
overflow != tapOn,
inference(split_conjunct,[status(thm)],[16]) ).
fof(154,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(155,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)],[154]) ).
fof(156,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)],[155]) ).
fof(157,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)],[156]) ).
fof(158,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)],[157]) ).
cnf(159,plain,
( X2 = waterLevel(esk7_3(X1,X2,X3))
| ~ releases(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[158]) ).
cnf(160,plain,
( X1 = tapOn
| ~ releases(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[158]) ).
cnf(161,plain,
( releases(X1,X2,X3)
| X2 != waterLevel(X4)
| X1 != tapOn ),
inference(split_conjunct,[status(thm)],[158]) ).
fof(165,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(166,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)],[165]) ).
fof(167,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)],[166]) ).
fof(168,plain,
! [X9,X10,X11,X14,X15] :
( ( ~ happens(X14,X15)
| ~ less(X9,X15)
| ~ less(X15,X11)
| ~ terminates(X14,X10,X15)
| stoppedIn(X9,X10,X11) )
& ( ~ 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)],[167]) ).
fof(169,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)],[168]) ).
cnf(170,plain,
( terminates(esk8_3(X1,X2,X3),X2,esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[169]) ).
cnf(171,plain,
( less(esk9_3(X1,X2,X3),X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[169]) ).
cnf(172,plain,
( less(X1,esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[169]) ).
cnf(173,plain,
( happens(esk8_3(X1,X2,X3),esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[169]) ).
cnf(174,plain,
( stoppedIn(X1,X2,X3)
| ~ terminates(X4,X2,X5)
| ~ less(X5,X3)
| ~ less(X1,X5)
| ~ happens(X4,X5) ),
inference(split_conjunct,[status(thm)],[169]) ).
fof(175,plain,
! [X1,X2,X3] :
( ~ happens(X1,X2)
| ~ terminates(X1,X3,X2)
| ~ holdsAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[64]) ).
fof(176,plain,
! [X4,X5,X6] :
( ~ happens(X4,X5)
| ~ terminates(X4,X6,X5)
| ~ holdsAt(X6,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[175]) ).
cnf(177,plain,
( ~ holdsAt(X1,plus(X2,n1))
| ~ terminates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[176]) ).
fof(178,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)],[74]) ).
fof(179,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)],[178]) ).
cnf(180,plain,
( initiates(X1,X2,X3)
| ~ epred1_3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[179]) ).
fof(182,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(183,plain,
! [X14,X15,X16,X17] :
( ~ holdsAt(waterLevel(X14),X15)
| X16 != plus(X14,X17)
| trajectory(filling,X15,waterLevel(X16),X17) ),
inference(variable_rename,[status(thm)],[182]) ).
cnf(184,plain,
( trajectory(filling,X1,waterLevel(X2),X3)
| X2 != plus(X4,X3)
| ~ holdsAt(waterLevel(X4),X1) ),
inference(split_conjunct,[status(thm)],[183]) ).
cnf(185,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[24]) ).
fof(186,plain,
! [X2,X12,X13] :
( ~ holdsAt(waterLevel(X12),X2)
| ~ holdsAt(waterLevel(X13),X2)
| X12 = X13 ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(187,plain,
! [X14,X15,X16] :
( ~ holdsAt(waterLevel(X15),X14)
| ~ holdsAt(waterLevel(X16),X14)
| X15 = X16 ),
inference(variable_rename,[status(thm)],[186]) ).
cnf(188,plain,
( X1 = X2
| ~ holdsAt(waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X1),X3) ),
inference(split_conjunct,[status(thm)],[187]) ).
cnf(190,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[27]) ).
cnf(191,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[28]) ).
cnf(192,plain,
~ releasedAt(filling,n3),
inference(split_conjunct,[status(thm)],[65]) ).
cnf(193,plain,
plus(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[30]) ).
cnf(196,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[33]) ).
cnf(197,plain,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[34]) ).
fof(203,plain,
! [X4,X9] :
( ( ~ less(X4,X9)
| ( ~ less(X9,X4)
& X9 != X4 ) )
& ( less(X9,X4)
| X9 = X4
| less(X4,X9) ) ),
inference(fof_nnf,[status(thm)],[68]) ).
fof(204,plain,
! [X10,X11] :
( ( ~ less(X10,X11)
| ( ~ less(X11,X10)
& X11 != X10 ) )
& ( less(X11,X10)
| X11 = X10
| less(X10,X11) ) ),
inference(variable_rename,[status(thm)],[203]) ).
fof(205,plain,
! [X10,X11] :
( ( ~ less(X11,X10)
| ~ less(X10,X11) )
& ( X11 != X10
| ~ less(X10,X11) )
& ( less(X11,X10)
| X11 = X10
| less(X10,X11) ) ),
inference(distribute,[status(thm)],[204]) ).
cnf(206,plain,
( less(X1,X2)
| X2 = X1
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[205]) ).
cnf(207,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[205]) ).
cnf(208,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[205]) ).
cnf(209,plain,
~ releasedAt(filling,n0),
inference(split_conjunct,[status(thm)],[69]) ).
fof(210,plain,
! [X10,X11] : plus(X10,X11) = plus(X11,X10),
inference(variable_rename,[status(thm)],[42]) ).
cnf(211,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[210]) ).
fof(212,plain,
! [X11] : ~ releasedAt(waterLevel(X11),n0),
inference(variable_rename,[status(thm)],[70]) ).
cnf(213,plain,
~ releasedAt(waterLevel(X1),n0),
inference(split_conjunct,[status(thm)],[212]) ).
cnf(214,negated_conjecture,
~ holdsAt(filling,n3),
inference(split_conjunct,[status(thm)],[71]) ).
fof(215,plain,
! [X4,X9] :
( ( ~ less_or_equal(X4,X9)
| less(X4,X9)
| X4 = X9 )
& ( ( ~ less(X4,X9)
& X4 != X9 )
| less_or_equal(X4,X9) ) ),
inference(fof_nnf,[status(thm)],[45]) ).
fof(216,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)],[215]) ).
fof(217,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)],[216]) ).
cnf(218,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[217]) ).
cnf(220,plain,
( X1 = X2
| less(X1,X2)
| ~ less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[217]) ).
cnf(221,plain,
~ holdsAt(filling,n0),
inference(split_conjunct,[status(thm)],[72]) ).
fof(246,plain,
! [X4] : ~ less(X4,n0),
inference(fof_nnf,[status(thm)],[53]) ).
fof(247,plain,
! [X5] : ~ less(X5,n0),
inference(variable_rename,[status(thm)],[246]) ).
cnf(248,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[247]) ).
fof(249,plain,
! [X4] :
( ( ~ less(X4,n1)
| less_or_equal(X4,n0) )
& ( ~ less_or_equal(X4,n0)
| less(X4,n1) ) ),
inference(fof_nnf,[status(thm)],[54]) ).
fof(250,plain,
! [X5] :
( ( ~ less(X5,n1)
| less_or_equal(X5,n0) )
& ( ~ less_or_equal(X5,n0)
| less(X5,n1) ) ),
inference(variable_rename,[status(thm)],[249]) ).
cnf(251,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[250]) ).
cnf(252,plain,
( less_or_equal(X1,n0)
| ~ less(X1,n1) ),
inference(split_conjunct,[status(thm)],[250]) ).
fof(253,plain,
! [X4] :
( ( ~ less(X4,n2)
| less_or_equal(X4,n1) )
& ( ~ less_or_equal(X4,n1)
| less(X4,n2) ) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(254,plain,
! [X5] :
( ( ~ less(X5,n2)
| less_or_equal(X5,n1) )
& ( ~ less_or_equal(X5,n1)
| less(X5,n2) ) ),
inference(variable_rename,[status(thm)],[253]) ).
cnf(255,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[254]) ).
cnf(256,plain,
( less_or_equal(X1,n1)
| ~ less(X1,n2) ),
inference(split_conjunct,[status(thm)],[254]) ).
fof(257,plain,
! [X4] :
( ( ~ less(X4,n3)
| less_or_equal(X4,n2) )
& ( ~ less_or_equal(X4,n2)
| less(X4,n3) ) ),
inference(fof_nnf,[status(thm)],[56]) ).
fof(258,plain,
! [X5] :
( ( ~ less(X5,n3)
| less_or_equal(X5,n2) )
& ( ~ less_or_equal(X5,n2)
| less(X5,n3) ) ),
inference(variable_rename,[status(thm)],[257]) ).
cnf(259,plain,
( less(X1,n3)
| ~ less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[258]) ).
cnf(260,plain,
( less_or_equal(X1,n2)
| ~ less(X1,n3) ),
inference(split_conjunct,[status(thm)],[258]) ).
fof(261,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)],[73]) ).
fof(262,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)],[261]) ).
fof(263,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)],[262]) ).
fof(264,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)],[263]) ).
fof(265,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)],[264]) ).
cnf(276,plain,
( X1 = filling
| X3 = overflow
| X1 = waterLevel(esk10_3(X3,X2,X1))
| X3 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[265]) ).
cnf(294,plain,
( X3 = tapOn
| X3 = overflow
| X1 = waterLevel(esk10_3(X3,X2,X1))
| X3 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[265]) ).
cnf(300,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)],[265]) ).
cnf(303,plain,
( epred1_3(X1,X2,X3)
| X1 != filling
| X3 != tapOn ),
inference(split_conjunct,[status(thm)],[265]) ).
cnf(304,plain,
( epred1_3(X1,X2,X3)
| X1 != waterLevel(X4)
| X3 != tapOff
| ~ holdsAt(waterLevel(X4),X2) ),
inference(split_conjunct,[status(thm)],[265]) ).
cnf(305,plain,
( epred1_3(X1,X2,X3)
| X1 != waterLevel(X4)
| X3 != overflow
| ~ holdsAt(waterLevel(X4),X2) ),
inference(split_conjunct,[status(thm)],[265]) ).
cnf(306,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[218,theory(equality)]) ).
cnf(310,plain,
~ less(X1,X1),
inference(er,[status(thm)],[207,theory(equality)]) ).
cnf(320,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[196,211,theory(equality)]) ).
cnf(345,plain,
( X1 = n0
| less(n0,X1) ),
inference(spm,[status(thm)],[248,206,theory(equality)]) ).
cnf(358,plain,
( X1 = n2
| less(X1,n2)
| ~ less(X1,n3) ),
inference(spm,[status(thm)],[220,260,theory(equality)]) ).
cnf(360,plain,
( X1 = n1
| less(X1,n1)
| ~ less(X1,n2) ),
inference(spm,[status(thm)],[220,256,theory(equality)]) ).
cnf(361,plain,
( X1 = n0
| less(X1,n0)
| ~ less(X1,n1) ),
inference(spm,[status(thm)],[220,252,theory(equality)]) ).
cnf(367,plain,
( X1 = n0
| ~ less(X1,n1) ),
inference(sr,[status(thm)],[361,248,theory(equality)]) ).
cnf(368,plain,
( releases(X1,waterLevel(X2),X3)
| tapOn != X1 ),
inference(er,[status(thm)],[161,theory(equality)]) ).
cnf(370,plain,
( X2 != filling
| ~ releases(X1,X2,X3) ),
inference(spm,[status(thm)],[80,159,theory(equality)]) ).
cnf(393,plain,
( ~ less(esk9_3(X1,X2,X3),X1)
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[208,172,theory(equality)]) ).
cnf(399,plain,
( holdsAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| ~ epred1_3(X1,X2,X3) ),
inference(spm,[status(thm)],[94,180,theory(equality)]) ).
cnf(400,plain,
( epred1_3(X1,n0,X2)
| waterLevel(n0) != X1
| tapOff != X2 ),
inference(spm,[status(thm)],[304,197,theory(equality)]) ).
cnf(404,plain,
( epred1_3(X1,X2,X3)
| X5 != X1
| overflow != X3
| ~ holdsAt(X5,X2)
| ~ releases(X4,X5,X6) ),
inference(spm,[status(thm)],[305,159,theory(equality)]) ).
cnf(405,plain,
( epred1_3(X1,X2,X3)
| overflow != X3
| ~ holdsAt(X1,X2)
| ~ releases(X4,X1,X5) ),
inference(er,[status(thm)],[404,theory(equality)]) ).
cnf(408,plain,
( ~ releasedAt(X2,plus(X3,n1))
| ~ happens(X1,X3)
| ~ epred1_3(X2,X3,X1) ),
inference(spm,[status(thm)],[151,180,theory(equality)]) ).
cnf(428,plain,
( tapOn = X1
| overflow = X1
| X3 != filling
| ~ epred1_3(X3,X2,X1) ),
inference(spm,[status(thm)],[80,294,theory(equality)]) ).
cnf(441,plain,
( n0 = esk4_3(X1,X2,X3)
| overflow = esk3_3(X1,X2,X3)
| ~ startedIn(X1,X3,X2) ),
inference(spm,[status(thm)],[100,120,theory(equality)]) ).
cnf(448,plain,
( tapOn = esk8_3(X1,X2,X3)
| overflow = esk8_3(X1,X2,X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[103,173,theory(equality)]) ).
cnf(453,plain,
( n0 = X1
| overflow = esk1_2(X2,X1)
| releasedAt(X2,X1)
| ~ releasedAt(X2,plus(X1,n1)) ),
inference(spm,[status(thm)],[100,91,theory(equality)]) ).
cnf(466,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)],[94,117,theory(equality)]) ).
cnf(468,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)],[466,211,theory(equality)]) ).
cnf(471,plain,
( overflow = esk8_3(X1,X2,X3)
| tapOff = esk8_3(X1,X2,X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[130,170,theory(equality)]) ).
cnf(472,plain,
( tapOn = esk1_2(X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[160,90,theory(equality)]) ).
cnf(478,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)],[103,140,theory(equality)]) ).
cnf(479,plain,
( n0 = X1
| holdsAt(filling,X1)
| holdsAt(X2,plus(X1,n1))
| releasedAt(X2,plus(X1,n1))
| ~ holdsAt(X2,X1) ),
inference(spm,[status(thm)],[101,140,theory(equality)]) ).
cnf(481,plain,
( n0 = X1
| holdsAt(waterLevel(n3),X1)
| holdsAt(X2,plus(X1,n1))
| releasedAt(X2,plus(X1,n1))
| ~ holdsAt(X2,X1) ),
inference(spm,[status(thm)],[102,140,theory(equality)]) ).
cnf(484,plain,
( ~ holdsAt(X2,plus(X3,n1))
| ~ happens(X1,X3)
| overflow != X1
| filling != X2 ),
inference(spm,[status(thm)],[177,125,theory(equality)]) ).
cnf(485,plain,
( ~ holdsAt(X2,plus(esk9_3(X1,X2,X3),n1))
| ~ happens(esk8_3(X1,X2,X3),esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[177,170,theory(equality)]) ).
cnf(486,plain,
( ~ holdsAt(X2,plus(n1,esk9_3(X1,X2,X3)))
| ~ happens(esk8_3(X1,X2,X3),esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(rw,[status(thm)],[485,211,theory(equality)]) ).
cnf(506,plain,
( tapOn = X1
| overflow = X1
| holdsAt(X3,X2)
| filling = X3
| ~ epred1_3(X3,X2,X1) ),
inference(spm,[status(thm)],[300,276,theory(equality)]) ).
cnf(520,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)],[103,111,theory(equality)]) ).
cnf(521,plain,
( n0 = X1
| holdsAt(filling,X1)
| holdsAt(X2,X1)
| releasedAt(X2,plus(X1,n1))
| ~ holdsAt(X2,plus(X1,n1)) ),
inference(spm,[status(thm)],[101,111,theory(equality)]) ).
cnf(522,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)],[104,111,theory(equality)]) ).
cnf(548,plain,
( startedIn(X1,X2,X3)
| ~ less(X4,X3)
| ~ less(X1,X4)
| ~ happens(X5,X4)
| ~ epred1_3(X2,X4,X5) ),
inference(spm,[status(thm)],[121,180,theory(equality)]) ).
cnf(553,plain,
( stoppedIn(X1,X2,X3)
| holdsAt(X2,plus(X4,n1))
| releasedAt(X2,plus(X4,n1))
| ~ less(X4,X3)
| ~ less(X1,X4)
| ~ happens(esk5_2(X2,X4),X4)
| ~ holdsAt(X2,X4) ),
inference(spm,[status(thm)],[174,139,theory(equality)]) ).
cnf(644,plain,
less(n2,n3),
inference(spm,[status(thm)],[259,306,theory(equality)]) ).
cnf(646,plain,
less(n0,n1),
inference(spm,[status(thm)],[251,306,theory(equality)]) ).
cnf(647,plain,
less(n1,n2),
inference(spm,[status(thm)],[255,306,theory(equality)]) ).
cnf(656,plain,
~ less(n2,n1),
inference(spm,[status(thm)],[208,647,theory(equality)]) ).
cnf(686,plain,
( esk9_3(X1,X2,n1) = n0
| ~ stoppedIn(X1,X2,n1) ),
inference(spm,[status(thm)],[367,171,theory(equality)]) ).
cnf(705,plain,
( releasedAt(X1,X2)
| X1 != filling
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[370,90,theory(equality)]) ).
cnf(871,plain,
( esk9_3(X1,X2,n2) = n1
| less(esk9_3(X1,X2,n2),n1)
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[360,171,theory(equality)]) ).
cnf(874,plain,
( X1 = n1
| less(X1,n1)
| X1 = n2
| ~ less(X1,n3) ),
inference(spm,[status(thm)],[360,358,theory(equality)]) ).
cnf(1043,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| ~ happens(X3,X2)
| tapOn != X3 ),
inference(spm,[status(thm)],[78,368,theory(equality)]) ).
cnf(1299,plain,
( holdsAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| filling != X1
| tapOn != X3 ),
inference(spm,[status(thm)],[399,303,theory(equality)]) ).
cnf(1322,plain,
( less(X1,n0)
| ~ stoppedIn(X1,X2,n1) ),
inference(spm,[status(thm)],[172,686,theory(equality)]) ).
cnf(1328,plain,
~ stoppedIn(X1,X2,n1),
inference(sr,[status(thm)],[1322,248,theory(equality)]) ).
cnf(1415,plain,
( epred1_3(waterLevel(X1),X2,X3)
| overflow != X3
| ~ holdsAt(waterLevel(X1),X2)
| tapOn != X4 ),
inference(spm,[status(thm)],[405,368,theory(equality)]) ).
cnf(1444,plain,
( ~ epred1_3(X1,X2,X3)
| ~ releasedAt(X1,plus(n1,X2))
| ~ happens(X3,X2) ),
inference(spm,[status(thm)],[408,211,theory(equality)]) ).
cnf(2129,plain,
( releasedAt(X1,X2)
| X1 != filling
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[705,211,theory(equality)]) ).
cnf(2148,plain,
( releasedAt(X1,n0)
| X1 != filling
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[2129,320,theory(equality)]) ).
cnf(2157,plain,
~ releasedAt(filling,n1),
inference(spm,[status(thm)],[209,2148,theory(equality)]) ).
cnf(2245,plain,
( esk9_3(X1,X2,n3) = n2
| esk9_3(X1,X2,n3) = n1
| less(esk9_3(X1,X2,n3),n1)
| ~ stoppedIn(X1,X2,n3) ),
inference(spm,[status(thm)],[874,171,theory(equality)]) ).
cnf(2683,plain,
( holdsAt(X1,plus(n1,esk4_3(X2,X3,X1)))
| ~ startedIn(X2,X1,X3) ),
inference(csr,[status(thm)],[468,120]) ).
cnf(2777,plain,
( tapOff = overflow
| tapOff = tapOn
| esk8_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[448,471,theory(equality)]) ).
cnf(2779,plain,
( tapOff = tapOn
| esk8_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[2777,75,theory(equality)]) ).
cnf(2780,plain,
( esk8_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[2779,185,theory(equality)]) ).
cnf(2781,plain,
( happens(overflow,esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[173,2780,theory(equality)]) ).
cnf(2803,plain,
( releasedAt(X1,X2)
| happens(tapOn,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[91,472,theory(equality)]) ).
cnf(2805,plain,
( tapOn = overflow
| n0 = X2
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[453,472,theory(equality)]) ).
cnf(2806,plain,
( n0 = X2
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(sr,[status(thm)],[2805,152,theory(equality)]) ).
cnf(2810,plain,
( tapOn = overflow
| holdsAt(waterLevel(n3),esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[105,2781,theory(equality)]) ).
cnf(2813,plain,
( holdsAt(waterLevel(n3),esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[2810,152,theory(equality)]) ).
cnf(2837,plain,
( n0 = X1
| releasedAt(X2,X1)
| ~ releasedAt(X2,plus(n1,X1)) ),
inference(spm,[status(thm)],[2806,211,theory(equality)]) ).
cnf(2914,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)],[140,478,theory(equality)]) ).
cnf(2983,plain,
( releasedAt(X1,n1)
| n0 = n1
| holdsAt(X1,plus(n1,n1))
| holdsAt(filling,n1)
| X1 != filling
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[2129,479,theory(equality)]) ).
cnf(2988,plain,
( releasedAt(X1,n1)
| n0 = n1
| holdsAt(X1,n2)
| holdsAt(filling,n1)
| X1 != filling
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[2983,191,theory(equality)]) ).
cnf(3029,plain,
( n0 = X1
| holdsAt(X2,plus(n1,X1))
| holdsAt(waterLevel(n3),X1)
| releasedAt(X2,plus(n1,X1))
| ~ holdsAt(X2,X1) ),
inference(spm,[status(thm)],[481,211,theory(equality)]) ).
cnf(3033,plain,
( releasedAt(X1,X2)
| n0 = X2
| holdsAt(X1,plus(X2,n1))
| holdsAt(waterLevel(n3),X2)
| X1 != filling
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[705,481,theory(equality)]) ).
cnf(3157,plain,
( overflow != X1
| filling != X2
| ~ holdsAt(X2,n2)
| ~ happens(X1,n1) ),
inference(spm,[status(thm)],[484,191,theory(equality)]) ).
cnf(3158,plain,
( overflow != X1
| filling != X2
| ~ holdsAt(X2,plus(n1,X3))
| ~ happens(X1,X3) ),
inference(spm,[status(thm)],[484,211,theory(equality)]) ).
fof(3170,plain,
( ~ epred14_0
<=> ! [X1] :
( ~ happens(X1,n1)
| overflow != X1 ) ),
introduced(definition),
[split] ).
cnf(3171,plain,
( epred14_0
| ~ happens(X1,n1)
| overflow != X1 ),
inference(split_equiv,[status(thm)],[3170]) ).
fof(3172,plain,
( ~ epred15_0
<=> ! [X2] :
( ~ holdsAt(X2,n2)
| filling != X2 ) ),
introduced(definition),
[split] ).
cnf(3173,plain,
( epred15_0
| ~ holdsAt(X2,n2)
| filling != X2 ),
inference(split_equiv,[status(thm)],[3172]) ).
cnf(3174,plain,
( ~ epred15_0
| ~ epred14_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[3157,3170,theory(equality)]),3172,theory(equality)]),
[split] ).
cnf(3176,plain,
( epred14_0
| overflow != X1
| ~ holdsAt(waterLevel(n3),n1)
| ~ holdsAt(filling,n1) ),
inference(spm,[status(thm)],[3171,98,theory(equality)]) ).
cnf(3179,plain,
( epred14_0
| holdsAt(X1,plus(n1,n1))
| releasedAt(X1,plus(n1,n1))
| overflow != esk5_2(X1,n1)
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[3171,140,theory(equality)]) ).
cnf(3180,plain,
( epred14_0
| holdsAt(X1,n1)
| releasedAt(X1,plus(n1,n1))
| overflow != esk2_2(X1,n1)
| ~ holdsAt(X1,plus(n1,n1)) ),
inference(spm,[status(thm)],[3171,111,theory(equality)]) ).
cnf(3183,plain,
( epred14_0
| holdsAt(X1,n2)
| releasedAt(X1,plus(n1,n1))
| overflow != esk5_2(X1,n1)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[3179,191,theory(equality)]) ).
cnf(3184,plain,
( epred14_0
| holdsAt(X1,n2)
| releasedAt(X1,n2)
| overflow != esk5_2(X1,n1)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[3183,191,theory(equality)]) ).
cnf(3185,plain,
( epred14_0
| holdsAt(X1,n1)
| releasedAt(X1,n2)
| overflow != esk2_2(X1,n1)
| ~ holdsAt(X1,plus(n1,n1)) ),
inference(rw,[status(thm)],[3180,191,theory(equality)]) ).
cnf(3186,plain,
( epred14_0
| holdsAt(X1,n1)
| releasedAt(X1,n2)
| overflow != esk2_2(X1,n1)
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[3185,191,theory(equality)]) ).
cnf(3235,plain,
( ~ holdsAt(X2,plus(n1,esk9_3(X1,X2,X3)))
| ~ stoppedIn(X1,X2,X3) ),
inference(csr,[status(thm)],[486,173]) ).
cnf(3659,plain,
( tapOn = X1
| overflow = X1
| holdsAt(X3,X2)
| ~ epred1_3(X3,X2,X1) ),
inference(csr,[status(thm)],[506,428]) ).
cnf(3662,plain,
( overflow = X1
| tapOn = X1
| holdsAt(X2,n0)
| waterLevel(n0) != X2
| tapOff != X1 ),
inference(spm,[status(thm)],[3659,400,theory(equality)]) ).
cnf(4261,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)],[111,520,theory(equality)]) ).
cnf(4329,plain,
( n0 = n1
| releasedAt(X1,n1)
| holdsAt(filling,n1)
| holdsAt(X1,n1)
| ~ holdsAt(X1,plus(n1,n1)) ),
inference(spm,[status(thm)],[2837,521,theory(equality)]) ).
cnf(4333,plain,
( n0 = n1
| releasedAt(X1,n1)
| holdsAt(filling,n1)
| holdsAt(X1,n1)
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[4329,191,theory(equality)]) ).
cnf(4365,plain,
( holdsAt(X1,X2)
| initiates(tapOn,X1,X2)
| releasedAt(X1,plus(X2,n1))
| holdsAt(filling,X2)
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[110,522,theory(equality)]) ).
cnf(4911,plain,
( n0 = n1
| holdsAt(filling,n1)
| ~ holdsAt(filling,n2) ),
inference(spm,[status(thm)],[2157,4333,theory(equality)]) ).
cnf(4949,plain,
( startedIn(X1,X2,X3)
| ~ less(X4,X3)
| ~ less(X1,X4)
| ~ happens(X5,X4)
| filling != X2
| tapOn != X5 ),
inference(spm,[status(thm)],[548,303,theory(equality)]) ).
cnf(5057,plain,
( tapOn = tapOff
| overflow = tapOff
| holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(er,[status(thm)],[3662,theory(equality)]) ).
cnf(5058,plain,
( tapOff = overflow
| holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(sr,[status(thm)],[5057,185,theory(equality)]) ).
cnf(5059,plain,
( holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(sr,[status(thm)],[5058,75,theory(equality)]) ).
cnf(5065,plain,
( trajectory(filling,n0,waterLevel(X1),X2)
| plus(X3,X2) != X1
| waterLevel(n0) != waterLevel(X3) ),
inference(spm,[status(thm)],[184,5059,theory(equality)]) ).
cnf(5195,plain,
( releasedAt(X1,X2)
| happens(tapOn,X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[2803,211,theory(equality)]) ).
cnf(5204,plain,
( holdsAt(X2,plus(X4,n1))
| stoppedIn(X1,X2,X3)
| releasedAt(X2,plus(X4,n1))
| ~ holdsAt(X2,X4)
| ~ less(X4,X3)
| ~ less(X1,X4) ),
inference(csr,[status(thm)],[553,140]) ).
cnf(5205,plain,
( holdsAt(X1,plus(n2,n1))
| stoppedIn(X2,X1,n3)
| releasedAt(X1,plus(n2,n1))
| ~ holdsAt(X1,n2)
| ~ less(X2,n2) ),
inference(spm,[status(thm)],[5204,644,theory(equality)]) ).
cnf(5304,plain,
( holdsAt(X1,n3)
| stoppedIn(X2,X1,n3)
| releasedAt(X1,plus(n2,n1))
| ~ holdsAt(X1,n2)
| ~ less(X2,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5205,211,theory(equality)]),190,theory(equality)]) ).
cnf(5305,plain,
( holdsAt(X1,n3)
| stoppedIn(X2,X1,n3)
| releasedAt(X1,n3)
| ~ holdsAt(X1,n2)
| ~ less(X2,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5304,211,theory(equality)]),190,theory(equality)]) ).
cnf(5944,plain,
( overflow != X1
| filling != X2
| ~ happens(X1,esk4_3(X3,X4,X2))
| ~ startedIn(X3,X2,X4) ),
inference(spm,[status(thm)],[3158,2683,theory(equality)]) ).
cnf(6440,plain,
( releasedAt(X1,n0)
| happens(tapOn,n0)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[5195,320,theory(equality)]) ).
cnf(6499,plain,
( happens(tapOn,n0)
| ~ releasedAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[213,6440,theory(equality)]) ).
cnf(6537,plain,
( ~ epred1_3(X1,n2,X2)
| ~ releasedAt(X1,n3)
| ~ happens(X2,n2) ),
inference(spm,[status(thm)],[1444,190,theory(equality)]) ).
cnf(7239,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| tapOn != X3
| n0 != X2 ),
inference(spm,[status(thm)],[1043,99,theory(equality)]) ).
cnf(7541,plain,
( overflow != esk3_3(X1,X2,X3)
| filling != X3
| ~ startedIn(X1,X3,X2) ),
inference(spm,[status(thm)],[5944,120,theory(equality)]) ).
cnf(7622,plain,
( esk4_3(X1,X2,X3) = n0
| filling != X3
| ~ startedIn(X1,X3,X2) ),
inference(spm,[status(thm)],[7541,441,theory(equality)]) ).
cnf(7625,plain,
( less(X1,n0)
| ~ startedIn(X1,X3,X2)
| filling != X3 ),
inference(spm,[status(thm)],[119,7622,theory(equality)]) ).
cnf(7669,plain,
( ~ startedIn(X1,X3,X2)
| filling != X3 ),
inference(sr,[status(thm)],[7625,248,theory(equality)]) ).
cnf(8531,plain,
( trajectory(filling,n0,waterLevel(plus(X1,X2)),X2)
| waterLevel(n0) != waterLevel(X1) ),
inference(er,[status(thm)],[5065,theory(equality)]) ).
cnf(8618,plain,
trajectory(filling,n0,waterLevel(n2),n2),
inference(spm,[status(thm)],[8531,193,theory(equality)]) ).
cnf(8623,plain,
( trajectory(filling,n0,waterLevel(plus(X2,X1)),X2)
| waterLevel(n0) != waterLevel(X1) ),
inference(spm,[status(thm)],[8531,211,theory(equality)]) ).
cnf(8629,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)],[85,8618,theory(equality)]) ).
cnf(8630,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)],[8629,193,theory(equality)]) ).
cnf(8631,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ less(n0,n2)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(rw,[status(thm)],[8630,193,theory(equality)]) ).
cnf(8668,plain,
trajectory(filling,n0,waterLevel(n1),n1),
inference(spm,[status(thm)],[8623,320,theory(equality)]) ).
cnf(8675,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)],[85,8668,theory(equality)]) ).
cnf(8676,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)],[8675,211,theory(equality)]),320,theory(equality)]) ).
cnf(8677,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)],[8676,211,theory(equality)]),320,theory(equality)]) ).
cnf(8678,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| $false
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(rw,[status(thm)],[8677,646,theory(equality)]) ).
cnf(8679,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(cn,[status(thm)],[8678,theory(equality)]) ).
cnf(8680,plain,
( holdsAt(waterLevel(n1),n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(sr,[status(thm)],[8679,1328,theory(equality)]) ).
cnf(8706,plain,
( holdsAt(waterLevel(n1),n1)
| ~ happens(X1,n0)
| ~ epred1_3(filling,n0,X1) ),
inference(spm,[status(thm)],[8680,180,theory(equality)]) ).
cnf(8715,plain,
( holdsAt(waterLevel(n1),n1)
| ~ epred1_3(filling,n0,X1)
| tapOn != X1 ),
inference(spm,[status(thm)],[8706,99,theory(equality)]) ).
cnf(8728,plain,
( holdsAt(waterLevel(n1),n1)
| tapOn != X1 ),
inference(spm,[status(thm)],[8715,303,theory(equality)]) ).
cnf(8736,plain,
holdsAt(waterLevel(n1),n1),
inference(er,[status(thm)],[8728,theory(equality)]) ).
cnf(8737,plain,
( X1 = n1
| ~ holdsAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[188,8736,theory(equality)]) ).
cnf(13589,plain,
( esk9_3(X1,X2,n2) = n0
| esk9_3(X1,X2,n2) = n1
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[367,871,theory(equality)]) ).
cnf(16754,plain,
( epred1_3(waterLevel(X1),X2,X3)
| overflow != X3
| ~ holdsAt(waterLevel(X1),X2) ),
inference(er,[status(thm)],[1415,theory(equality)]) ).
cnf(17021,plain,
( less(X1,n0)
| esk9_3(X1,X2,n2) = n1
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[172,13589,theory(equality)]) ).
cnf(17065,plain,
( esk9_3(X1,X2,n2) = n1
| ~ stoppedIn(X1,X2,n2) ),
inference(sr,[status(thm)],[17021,248,theory(equality)]) ).
cnf(17103,plain,
( ~ holdsAt(X1,plus(n1,n1))
| ~ stoppedIn(X2,X1,n2) ),
inference(spm,[status(thm)],[3235,17065,theory(equality)]) ).
cnf(17132,plain,
( ~ holdsAt(X1,n2)
| ~ stoppedIn(X2,X1,n2) ),
inference(rw,[status(thm)],[17103,191,theory(equality)]) ).
cnf(17507,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| n0 != X2 ),
inference(er,[status(thm)],[7239,theory(equality)]) ).
cnf(17534,plain,
( releasedAt(waterLevel(X1),plus(n1,X2))
| n0 != X2 ),
inference(spm,[status(thm)],[17507,211,theory(equality)]) ).
cnf(18142,plain,
( releasedAt(waterLevel(X1),n3)
| n0 != n2 ),
inference(spm,[status(thm)],[17534,190,theory(equality)]) ).
cnf(18144,plain,
releasedAt(waterLevel(X1),n1),
inference(spm,[status(thm)],[17534,320,theory(equality)]) ).
cnf(18234,plain,
( releasedAt(X2,n1)
| ~ releases(X1,X2,X3) ),
inference(spm,[status(thm)],[18144,159,theory(equality)]) ).
cnf(18362,plain,
( happens(tapOn,n0)
| $false ),
inference(rw,[status(thm)],[6499,18144,theory(equality)]) ).
cnf(18363,plain,
happens(tapOn,n0),
inference(cn,[status(thm)],[18362,theory(equality)]) ).
cnf(18380,plain,
( holdsAt(X1,plus(n0,n1))
| filling != X1 ),
inference(spm,[status(thm)],[1299,18363,theory(equality)]) ).
cnf(18390,plain,
( holdsAt(X1,n1)
| filling != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18380,211,theory(equality)]),320,theory(equality)]) ).
cnf(18862,plain,
( releasedAt(X1,n1)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[18234,90,theory(equality)]) ).
cnf(23489,plain,
( releasedAt(X1,n1)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[18862,191,theory(equality)]) ).
cnf(30520,plain,
( esk9_3(n1,X1,n3) = n1
| esk9_3(n1,X1,n3) = n2
| ~ stoppedIn(n1,X1,n3) ),
inference(spm,[status(thm)],[393,2245,theory(equality)]) ).
cnf(50607,plain,
( n0 = n1
| holdsAt(filling,n1)
| holdsAt(X1,n2)
| releasedAt(X1,n1)
| X1 != filling ),
inference(csr,[status(thm)],[2988,18390]) ).
cnf(50608,plain,
( n0 = n1
| holdsAt(filling,n1)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[2157,50607,theory(equality)]) ).
cnf(50819,plain,
( n0 = n1
| holdsAt(filling,n1) ),
inference(csr,[status(thm)],[50608,4911]) ).
cnf(52915,plain,
( n0 = n2
| holdsAt(X1,n3)
| holdsAt(waterLevel(n3),n2)
| releasedAt(X1,n3)
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[3029,190,theory(equality)]) ).
cnf(53169,plain,
( n0 = n1
| holdsAt(filling,plus(n1,n1))
| holdsAt(waterLevel(n3),n1)
| ~ holdsAt(filling,n1) ),
inference(spm,[status(thm)],[2157,3033,theory(equality)]) ).
cnf(53513,plain,
( n0 = n1
| holdsAt(filling,n2)
| holdsAt(waterLevel(n3),n1)
| ~ holdsAt(filling,n1) ),
inference(rw,[status(thm)],[53169,191,theory(equality)]) ).
cnf(53855,plain,
( n0 = n1
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(csr,[status(thm)],[53513,50819]) ).
cnf(53867,plain,
( epred14_0
| n0 = n1
| holdsAt(filling,n2)
| overflow != X1
| ~ holdsAt(filling,n1) ),
inference(spm,[status(thm)],[3176,53855,theory(equality)]) ).
cnf(53882,plain,
( n3 = n1
| n0 = n1
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[8737,53855,theory(equality)]) ).
cnf(53995,plain,
( epred15_0
| n0 = n1
| n3 = n1 ),
inference(spm,[status(thm)],[3173,53882,theory(equality)]) ).
cnf(54631,plain,
( less(n2,n1)
| n0 = n1
| epred15_0 ),
inference(spm,[status(thm)],[644,53995,theory(equality)]) ).
cnf(55000,plain,
( n0 = n1
| epred15_0 ),
inference(sr,[status(thm)],[54631,656,theory(equality)]) ).
cnf(55066,plain,
( less(n1,n1)
| epred15_0 ),
inference(spm,[status(thm)],[646,55000,theory(equality)]) ).
cnf(55194,plain,
epred15_0,
inference(sr,[status(thm)],[55066,310,theory(equality)]) ).
cnf(55214,plain,
( $false
| ~ epred14_0 ),
inference(rw,[status(thm)],[3174,55194,theory(equality)]) ).
cnf(55215,plain,
~ epred14_0,
inference(cn,[status(thm)],[55214,theory(equality)]) ).
cnf(57659,plain,
( n0 = n1
| holdsAt(filling,n2)
| overflow != X1
| ~ holdsAt(filling,n1) ),
inference(sr,[status(thm)],[53867,55215,theory(equality)]) ).
cnf(57660,plain,
( n0 = n1
| holdsAt(filling,n2)
| overflow != X1 ),
inference(csr,[status(thm)],[57659,50819]) ).
cnf(57661,plain,
( n0 = n1
| holdsAt(filling,n2) ),
inference(er,[status(thm)],[57660,theory(equality)]) ).
cnf(62313,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| esk5_2(X1,n1) != overflow
| ~ holdsAt(X1,n1) ),
inference(sr,[status(thm)],[3184,55215,theory(equality)]) ).
cnf(62319,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)],[62313,2914,theory(equality)]) ).
cnf(62336,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)],[62319,191,theory(equality)]) ).
cnf(62337,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| holdsAt(X1,n2)
| releasedAt(X1,n2)
| happens(tapOn,n1)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[62336,191,theory(equality)]) ).
cnf(62338,plain,
( holdsAt(X1,n2)
| releasedAt(X1,n2)
| happens(tapOn,n1)
| ~ holdsAt(X1,n1) ),
inference(cn,[status(thm)],[62337,theory(equality)]) ).
cnf(62545,plain,
( holdsAt(X1,n1)
| releasedAt(X1,n2)
| esk2_2(X1,n1) != overflow
| ~ holdsAt(X1,n2) ),
inference(sr,[status(thm)],[3186,55215,theory(equality)]) ).
cnf(67769,plain,
( ~ releasedAt(waterLevel(X1),n3)
| ~ happens(X2,n2)
| overflow != X2
| ~ holdsAt(waterLevel(X1),n2) ),
inference(spm,[status(thm)],[6537,16754,theory(equality)]) ).
fof(67872,plain,
( ~ epred178_0
<=> ! [X1] :
( ~ holdsAt(waterLevel(X1),n2)
| ~ releasedAt(waterLevel(X1),n3) ) ),
introduced(definition),
[split] ).
cnf(67873,plain,
( epred178_0
| ~ holdsAt(waterLevel(X1),n2)
| ~ releasedAt(waterLevel(X1),n3) ),
inference(split_equiv,[status(thm)],[67872]) ).
fof(67874,plain,
( ~ epred179_0
<=> ! [X2] :
( overflow != X2
| ~ happens(X2,n2) ) ),
introduced(definition),
[split] ).
cnf(67875,plain,
( epred179_0
| overflow != X2
| ~ happens(X2,n2) ),
inference(split_equiv,[status(thm)],[67874]) ).
cnf(67876,plain,
( ~ epred179_0
| ~ epred178_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[67769,67872,theory(equality)]),67874,theory(equality)]),
[split] ).
cnf(68051,plain,
( epred179_0
| overflow != X1
| ~ holdsAt(waterLevel(n3),n2)
| ~ holdsAt(filling,n2) ),
inference(spm,[status(thm)],[67875,98,theory(equality)]) ).
cnf(68202,plain,
( epred178_0
| ~ holdsAt(waterLevel(X1),n2)
| n2 != n0 ),
inference(spm,[status(thm)],[67873,18142,theory(equality)]) ).
cnf(87034,plain,
( releasedAt(X1,n1)
| holdsAt(X1,n2)
| happens(tapOn,n1)
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[23489,62338,theory(equality)]) ).
cnf(93375,plain,
( n2 = n0
| holdsAt(waterLevel(n3),n2)
| holdsAt(filling,n3)
| ~ holdsAt(filling,n2) ),
inference(spm,[status(thm)],[192,52915,theory(equality)]) ).
cnf(93431,plain,
( n2 = n0
| holdsAt(waterLevel(n3),n2)
| ~ holdsAt(filling,n2) ),
inference(sr,[status(thm)],[93375,214,theory(equality)]) ).
cnf(93547,plain,
( epred179_0
| n2 = n0
| overflow != X1
| ~ holdsAt(filling,n2) ),
inference(spm,[status(thm)],[68051,93431,theory(equality)]) ).
cnf(97084,plain,
( n2 = n0
| epred179_0
| n0 = n1
| overflow != X1 ),
inference(spm,[status(thm)],[93547,57661,theory(equality)]) ).
cnf(97090,plain,
( n0 = n1
| n2 = n0
| epred179_0 ),
inference(er,[status(thm)],[97084,theory(equality)]) ).
cnf(97095,plain,
( less(n1,n0)
| n0 = n1
| epred179_0 ),
inference(spm,[status(thm)],[647,97090,theory(equality)]) ).
cnf(97402,plain,
( n0 = n1
| epred179_0 ),
inference(sr,[status(thm)],[97095,248,theory(equality)]) ).
cnf(97449,plain,
( less(n1,n1)
| epred179_0 ),
inference(spm,[status(thm)],[646,97402,theory(equality)]) ).
cnf(97579,plain,
epred179_0,
inference(sr,[status(thm)],[97449,310,theory(equality)]) ).
cnf(97641,plain,
( $false
| ~ epred178_0 ),
inference(rw,[status(thm)],[67876,97579,theory(equality)]) ).
cnf(97642,plain,
~ epred178_0,
inference(cn,[status(thm)],[97641,theory(equality)]) ).
cnf(100379,plain,
( holdsAt(filling,n2)
| happens(tapOn,n1)
| ~ holdsAt(filling,n1) ),
inference(spm,[status(thm)],[2157,87034,theory(equality)]) ).
cnf(100444,plain,
( holdsAt(X1,plus(n1,n1))
| holdsAt(filling,n2)
| filling != X1
| ~ holdsAt(filling,n1) ),
inference(spm,[status(thm)],[1299,100379,theory(equality)]) ).
cnf(100486,plain,
( holdsAt(X1,n2)
| holdsAt(filling,n2)
| filling != X1
| ~ holdsAt(filling,n1) ),
inference(rw,[status(thm)],[100444,191,theory(equality)]) ).
cnf(102137,plain,
( holdsAt(filling,n2)
| holdsAt(X1,n2)
| filling != X1 ),
inference(spm,[status(thm)],[100486,18390,theory(equality)]) ).
cnf(102140,plain,
holdsAt(filling,n2),
inference(er,[status(thm)],[102137,theory(equality)]) ).
cnf(120277,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)],[62545,4261,theory(equality)]) ).
cnf(120288,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)],[120277,191,theory(equality)]) ).
cnf(120289,plain,
( holdsAt(X1,n1)
| releasedAt(X1,n2)
| releasedAt(X1,n2)
| happens(tapOn,n1)
| ~ holdsAt(X1,n2)
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[120288,191,theory(equality)]) ).
cnf(120290,plain,
( holdsAt(X1,n1)
| releasedAt(X1,n2)
| happens(tapOn,n1)
| ~ holdsAt(X1,n2) ),
inference(cn,[status(thm)],[120289,theory(equality)]) ).
cnf(120923,plain,
( releasedAt(X1,n1)
| holdsAt(X1,n1)
| happens(tapOn,n1)
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[23489,120290,theory(equality)]) ).
cnf(120937,plain,
( holdsAt(filling,n1)
| happens(tapOn,n1)
| ~ holdsAt(filling,n2) ),
inference(spm,[status(thm)],[2157,120923,theory(equality)]) ).
cnf(120967,plain,
( holdsAt(filling,n1)
| happens(tapOn,n1)
| $false ),
inference(rw,[status(thm)],[120937,102140,theory(equality)]) ).
cnf(120968,plain,
( holdsAt(filling,n1)
| happens(tapOn,n1) ),
inference(cn,[status(thm)],[120967,theory(equality)]) ).
cnf(142858,plain,
( holdsAt(waterLevel(n3),n2)
| esk9_3(n1,X1,n3) = n1
| ~ stoppedIn(n1,X1,n3) ),
inference(spm,[status(thm)],[2813,30520,theory(equality)]) ).
cnf(144442,plain,
( less(n1,n1)
| holdsAt(waterLevel(n3),n2)
| ~ stoppedIn(n1,X1,n3) ),
inference(spm,[status(thm)],[172,142858,theory(equality)]) ).
cnf(144499,plain,
( holdsAt(waterLevel(n3),n2)
| ~ stoppedIn(n1,X1,n3) ),
inference(sr,[status(thm)],[144442,310,theory(equality)]) ).
cnf(145802,plain,
( filling != X2
| tapOn != X5
| ~ less(X4,X3)
| ~ less(X1,X4)
| ~ happens(X5,X4) ),
inference(csr,[status(thm)],[4949,7669]) ).
fof(145803,plain,
( ~ epred423_0
<=> ! [X2] : filling != X2 ),
introduced(definition),
[split] ).
cnf(145804,plain,
( epred423_0
| filling != X2 ),
inference(split_equiv,[status(thm)],[145803]) ).
fof(145805,plain,
( ~ epred424_0
<=> ! [X4,X1,X3,X5] :
( ~ happens(X5,X4)
| ~ less(X1,X4)
| ~ less(X4,X3)
| tapOn != X5 ) ),
introduced(definition),
[split] ).
cnf(145806,plain,
( epred424_0
| ~ happens(X5,X4)
| ~ less(X1,X4)
| ~ less(X4,X3)
| tapOn != X5 ),
inference(split_equiv,[status(thm)],[145805]) ).
cnf(145807,plain,
( ~ epred424_0
| ~ epred423_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[145802,145803,theory(equality)]),145805,theory(equality)]),
[split] ).
cnf(145808,plain,
epred423_0,
inference(er,[status(thm)],[145804,theory(equality)]) ).
cnf(145810,plain,
( ~ epred424_0
| $false ),
inference(rw,[status(thm)],[145807,145808,theory(equality)]) ).
cnf(145811,plain,
~ epred424_0,
inference(cn,[status(thm)],[145810,theory(equality)]) ).
cnf(145812,plain,
( ~ happens(X5,X4)
| ~ less(X1,X4)
| ~ less(X4,X3)
| tapOn != X5 ),
inference(sr,[status(thm)],[145806,145811,theory(equality)]) ).
cnf(145815,plain,
( tapOn != X1
| ~ less(n1,X2)
| ~ happens(X1,n1) ),
inference(spm,[status(thm)],[145812,646,theory(equality)]) ).
fof(146044,plain,
( ~ epred429_0
<=> ! [X1] :
( ~ happens(X1,n1)
| tapOn != X1 ) ),
introduced(definition),
[split] ).
cnf(146045,plain,
( epred429_0
| ~ happens(X1,n1)
| tapOn != X1 ),
inference(split_equiv,[status(thm)],[146044]) ).
fof(146046,plain,
( ~ epred430_0
<=> ! [X2] : ~ less(n1,X2) ),
introduced(definition),
[split] ).
cnf(146047,plain,
( epred430_0
| ~ less(n1,X2) ),
inference(split_equiv,[status(thm)],[146046]) ).
cnf(146048,plain,
( ~ epred430_0
| ~ epred429_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[145815,146044,theory(equality)]),146046,theory(equality)]),
[split] ).
cnf(146534,plain,
epred430_0,
inference(spm,[status(thm)],[146047,647,theory(equality)]) ).
cnf(146581,plain,
( $false
| ~ epred429_0 ),
inference(rw,[status(thm)],[146048,146534,theory(equality)]) ).
cnf(146582,plain,
~ epred429_0,
inference(cn,[status(thm)],[146581,theory(equality)]) ).
cnf(150132,plain,
( ~ happens(X1,n1)
| tapOn != X1 ),
inference(sr,[status(thm)],[146045,146582,theory(equality)]) ).
cnf(150141,plain,
holdsAt(filling,n1),
inference(spm,[status(thm)],[150132,120968,theory(equality)]) ).
cnf(157283,plain,
( holdsAt(waterLevel(n3),n2)
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| ~ holdsAt(X1,n2)
| ~ less(n1,n2) ),
inference(spm,[status(thm)],[144499,5305,theory(equality)]) ).
cnf(157327,plain,
( holdsAt(waterLevel(n3),n2)
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| ~ holdsAt(X1,n2)
| $false ),
inference(rw,[status(thm)],[157283,647,theory(equality)]) ).
cnf(157328,plain,
( holdsAt(waterLevel(n3),n2)
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| ~ holdsAt(X1,n2) ),
inference(cn,[status(thm)],[157327,theory(equality)]) ).
cnf(175897,plain,
( holdsAt(waterLevel(n3),n2)
| holdsAt(filling,n3)
| ~ holdsAt(filling,n2) ),
inference(spm,[status(thm)],[192,157328,theory(equality)]) ).
cnf(175924,plain,
( holdsAt(waterLevel(n3),n2)
| holdsAt(filling,n3)
| $false ),
inference(rw,[status(thm)],[175897,102140,theory(equality)]) ).
cnf(175925,plain,
( holdsAt(waterLevel(n3),n2)
| holdsAt(filling,n3) ),
inference(cn,[status(thm)],[175924,theory(equality)]) ).
cnf(175926,plain,
holdsAt(waterLevel(n3),n2),
inference(sr,[status(thm)],[175925,214,theory(equality)]) ).
cnf(175931,plain,
( X1 = n3
| ~ holdsAt(waterLevel(X1),n2) ),
inference(spm,[status(thm)],[188,175926,theory(equality)]) ).
cnf(176023,plain,
( epred178_0
| n2 != n0 ),
inference(spm,[status(thm)],[68202,175926,theory(equality)]) ).
cnf(176160,plain,
n2 != n0,
inference(sr,[status(thm)],[176023,97642,theory(equality)]) ).
cnf(315225,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| holdsAt(filling,n0)
| releasedAt(filling,plus(n0,n1))
| ~ less(n0,n2)
| ~ happens(tapOn,n0)
| ~ holdsAt(filling,plus(n0,n1)) ),
inference(spm,[status(thm)],[8631,4365,theory(equality)]) ).
cnf(315248,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| ~ less(n0,n2)
| ~ happens(tapOn,n0)
| ~ holdsAt(filling,plus(n0,n1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[315225,211,theory(equality)]),320,theory(equality)]) ).
cnf(315249,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| ~ less(n0,n2)
| $false
| ~ holdsAt(filling,plus(n0,n1)) ),
inference(rw,[status(thm)],[315248,18363,theory(equality)]) ).
cnf(315250,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| ~ less(n0,n2)
| $false
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[315249,211,theory(equality)]),320,theory(equality)]),150141,theory(equality)]) ).
cnf(315251,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| holdsAt(filling,n0)
| releasedAt(filling,n1)
| ~ less(n0,n2) ),
inference(cn,[status(thm)],[315250,theory(equality)]) ).
cnf(315252,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| releasedAt(filling,n1)
| ~ less(n0,n2) ),
inference(sr,[status(thm)],[315251,221,theory(equality)]) ).
cnf(315253,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ less(n0,n2) ),
inference(sr,[status(thm)],[315252,2157,theory(equality)]) ).
cnf(315524,plain,
( holdsAt(waterLevel(n2),n2)
| ~ holdsAt(filling,n2)
| ~ less(n0,n2) ),
inference(spm,[status(thm)],[17132,315253,theory(equality)]) ).
cnf(315557,plain,
( holdsAt(waterLevel(n2),n2)
| $false
| ~ less(n0,n2) ),
inference(rw,[status(thm)],[315524,102140,theory(equality)]) ).
cnf(315558,plain,
( holdsAt(waterLevel(n2),n2)
| ~ less(n0,n2) ),
inference(cn,[status(thm)],[315557,theory(equality)]) ).
cnf(315611,plain,
( holdsAt(waterLevel(n2),n2)
| n2 = n0 ),
inference(spm,[status(thm)],[315558,345,theory(equality)]) ).
cnf(315618,plain,
holdsAt(waterLevel(n2),n2),
inference(sr,[status(thm)],[315611,176160,theory(equality)]) ).
cnf(315742,plain,
n2 = n3,
inference(spm,[status(thm)],[175931,315618,theory(equality)]) ).
cnf(315935,plain,
holdsAt(filling,n3),
inference(rw,[status(thm)],[102140,315742,theory(equality)]) ).
cnf(315936,plain,
$false,
inference(sr,[status(thm)],[315935,214,theory(equality)]) ).
cnf(315937,plain,
$false,
315936,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR005+2.p
% --creating new selector for [CSR001+0.ax, CSR001+1.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpN6PsTI/sel_CSR005+2.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpN6PsTI/sel_CSR005+2.p_2 with time limit 81
% -prover status ResourceOut
% --creating new selector for [CSR001+0.ax, CSR001+1.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpN6PsTI/sel_CSR005+2.p_3 with time limit 75
% -prover status ResourceOut
% --creating new selector for [CSR001+0.ax, CSR001+1.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpN6PsTI/sel_CSR005+2.p_4 with time limit 56
% -prover status ResourceOut
% --creating new selector for [CSR001+0.ax, CSR001+1.ax]
% -running prover on /tmp/tmpN6PsTI/sel_CSR005+2.p_5 with time limit 55
% -prover status Theorem
% Problem CSR005+2.p solved in phase 4.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR005+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR005+2.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------