%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR013+1 : TPTP v5.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 05:57:49 EST 2010
% Result : Theorem 212.61s
% Output : CNFRefutation 212.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 37
% Syntax : Number of formulae : 392 ( 66 unt; 0 def)
% Number of atoms : 1588 ( 529 equ)
% Maximal formula atoms : 194 ( 4 avg)
% Number of connectives : 1876 ( 680 ~; 956 |; 210 &)
% ( 18 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 50 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 7 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-3 aty)
% Number of variables : 639 ( 26 sgn 229 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( happens(X1,X2)
<=> ( ( X1 = tapOn
& X2 = n0 )
| ( holdsAt(waterLevel(n3),X2)
& holdsAt(filling,X2)
& X1 = overflow ) ) ),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',happens_all_defn) ).
fof(2,axiom,
tapOff != overflow,
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',tapOff_not_overflow) ).
fof(3,axiom,
! [X1,X2,X3] :
( ( happens(X1,X2)
& terminates(X1,X3,X2) )
=> ~ holdsAt(X3,plus(X2,n1)) ),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',happens_terminates_not_holds) ).
fof(4,axiom,
! [X1,X3,X2] :
( initiates(X1,X3,X2)
<=> ( ( X1 = tapOn
& X3 = filling )
| ( X1 = overflow
& X3 = spilling )
| ? [X4] :
( holdsAt(waterLevel(X4),X2)
& X1 = tapOff
& X3 = waterLevel(X4) )
| ? [X4] :
( holdsAt(waterLevel(X4),X2)
& X1 = overflow
& X3 = waterLevel(X4) ) ) ),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',initiates_all_defn) ).
fof(5,axiom,
! [X5,X2,X6,X7] :
( ( holdsAt(waterLevel(X5),X2)
& X6 = plus(X5,X7) )
=> trajectory(filling,X2,waterLevel(X6),X7) ),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',change_of_waterLevel) ).
fof(6,axiom,
! [X1,X2,X3] :
( ( happens(X1,X2)
& ( initiates(X1,X3,X2)
| terminates(X1,X3,X2) ) )
=> ~ releasedAt(X3,plus(X2,n1)) ),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',happens_not_released) ).
fof(7,axiom,
! [X8] : filling != waterLevel(X8),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',filling_not_waterLevel) ).
fof(8,axiom,
tapOff != tapOn,
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',tapOff_not_tapOn) ).
fof(11,axiom,
! [X1,X2,X3,X9,X7] :
( ( happens(X1,X2)
& initiates(X1,X3,X2)
& less(n0,X7)
& trajectory(X3,X2,X9,X7)
& ~ stoppedIn(X2,X3,plus(X2,X7)) )
=> holdsAt(X9,plus(X2,X7)) ),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',change_holding) ).
fof(12,axiom,
! [X1,X2,X3] :
( ( happens(X1,X2)
& initiates(X1,X3,X2) )
=> holdsAt(X3,plus(X2,n1)) ),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',happens_holds) ).
fof(13,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/tmp3aCu-h/sel_CSR013+1.p_4',keep_released) ).
fof(14,axiom,
! [X1,X3,X2] :
( terminates(X1,X3,X2)
<=> ( ( X1 = tapOff
& X3 = filling )
| ( X1 = overflow
& X3 = filling ) ) ),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',terminates_all_defn) ).
fof(16,axiom,
overflow != tapOn,
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',overflow_not_tapOn) ).
fof(18,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/tmp3aCu-h/sel_CSR013+1.p_4',keep_not_holding) ).
fof(19,axiom,
! [X11,X3,X12] :
( stoppedIn(X11,X3,X12)
<=> ? [X1,X2] :
( happens(X1,X2)
& less(X11,X2)
& less(X2,X12)
& terminates(X1,X3,X2) ) ),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',stoppedin_defn) ).
fof(20,axiom,
! [X2,X5,X6] :
( ( holdsAt(waterLevel(X5),X2)
& holdsAt(waterLevel(X6),X2) )
=> X5 = X6 ),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',same_waterLevel) ).
fof(22,axiom,
plus(n1,n2) = n3,
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',plus1_2) ).
fof(23,axiom,
plus(n1,n1) = n2,
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',plus1_1) ).
fof(24,axiom,
plus(n0,n2) = n2,
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',plus0_2) ).
fof(27,axiom,
plus(n0,n1) = n1,
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',plus0_1) ).
fof(28,axiom,
holdsAt(waterLevel(n0),n0),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',waterLevel_0) ).
fof(34,conjecture,
~ ? [X1] :
( happens(X1,n2)
& terminates(X1,filling,n2) ),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',nothing_terminates_filling_2) ).
fof(35,axiom,
! [X8,X10] :
( less(X8,X10)
<=> ( ~ less(X10,X8)
& X10 != X8 ) ),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',less_property) ).
fof(37,axiom,
! [X8,X10] : plus(X8,X10) = plus(X10,X8),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',symmetry_of_plus) ).
fof(39,axiom,
! [X8,X10] :
( less_or_equal(X8,X10)
<=> ( less(X8,X10)
| X8 = X10 ) ),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',less_or_equal) ).
fof(40,axiom,
~ holdsAt(filling,n0),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',not_filling_0) ).
fof(47,axiom,
~ ? [X8] : less(X8,n0),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',less0) ).
fof(48,axiom,
! [X8] :
( less(X8,n1)
<=> less_or_equal(X8,n0) ),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',less1) ).
fof(49,axiom,
! [X8] :
( less(X8,n2)
<=> less_or_equal(X8,n1) ),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',less2) ).
fof(50,axiom,
! [X8] :
( less(X8,n3)
<=> less_or_equal(X8,n2) ),
file('/tmp/tmp3aCu-h/sel_CSR013+1.p_4',less3) ).
fof(51,negated_conjecture,
~ ~ ? [X1] :
( happens(X1,n2)
& terminates(X1,filling,n2) ),
inference(assume_negation,[status(cth)],[34]) ).
fof(52,plain,
! [X1,X2,X3] :
( ( happens(X1,X2)
& terminates(X1,X3,X2) )
=> ~ holdsAt(X3,plus(X2,n1)) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(53,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)],[6,theory(equality)]) ).
fof(54,plain,
! [X1,X2,X3,X9,X7] :
( ( happens(X1,X2)
& initiates(X1,X3,X2)
& less(n0,X7)
& trajectory(X3,X2,X9,X7)
& ~ stoppedIn(X2,X3,plus(X2,X7)) )
=> holdsAt(X9,plus(X2,X7)) ),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(56,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)],[18,theory(equality)]) ).
fof(59,plain,
! [X8,X10] :
( less(X8,X10)
<=> ( ~ less(X10,X8)
& X10 != X8 ) ),
inference(fof_simplification,[status(thm)],[35,theory(equality)]) ).
fof(62,plain,
~ holdsAt(filling,n0),
inference(fof_simplification,[status(thm)],[40,theory(equality)]) ).
fof(63,plain,
! [X1,X2,X3] :
( epred1_3(X3,X2,X1)
<=> ( ( X1 = tapOn
& X3 = filling )
| ( X1 = overflow
& X3 = spilling )
| ? [X4] :
( holdsAt(waterLevel(X4),X2)
& X1 = tapOff
& X3 = waterLevel(X4) )
| ? [X4] :
( holdsAt(waterLevel(X4),X2)
& X1 = overflow
& X3 = waterLevel(X4) ) ) ),
introduced(definition) ).
fof(64,plain,
! [X1,X3,X2] :
( initiates(X1,X3,X2)
<=> epred1_3(X3,X2,X1) ),
inference(apply_def,[status(esa)],[4,63,theory(equality)]) ).
fof(65,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)],[1]) ).
fof(66,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)],[65]) ).
fof(67,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)],[66]) ).
cnf(69,plain,
( happens(X1,X2)
| X2 != n0
| X1 != tapOn ),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(70,plain,
( X2 = n0
| X1 = overflow
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(73,plain,
( X1 = tapOn
| X1 = overflow
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(74,plain,
( X1 = tapOn
| holdsAt(filling,X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(75,plain,
( X1 = tapOn
| holdsAt(waterLevel(n3),X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(76,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[2]) ).
fof(77,plain,
! [X1,X2,X3] :
( ~ happens(X1,X2)
| ~ terminates(X1,X3,X2)
| ~ holdsAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(78,plain,
! [X4,X5,X6] :
( ~ happens(X4,X5)
| ~ terminates(X4,X6,X5)
| ~ holdsAt(X6,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[77]) ).
cnf(79,plain,
( ~ holdsAt(X1,plus(X2,n1))
| ~ terminates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[78]) ).
fof(80,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)],[64]) ).
fof(81,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)],[80]) ).
cnf(82,plain,
( initiates(X1,X2,X3)
| ~ epred1_3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[81]) ).
cnf(83,plain,
( epred1_3(X1,X2,X3)
| ~ initiates(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[81]) ).
fof(84,plain,
! [X5,X2,X6,X7] :
( ~ holdsAt(waterLevel(X5),X2)
| X6 != plus(X5,X7)
| trajectory(filling,X2,waterLevel(X6),X7) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(85,plain,
! [X8,X9,X10,X11] :
( ~ holdsAt(waterLevel(X8),X9)
| X10 != plus(X8,X11)
| trajectory(filling,X9,waterLevel(X10),X11) ),
inference(variable_rename,[status(thm)],[84]) ).
cnf(86,plain,
( trajectory(filling,X1,waterLevel(X2),X3)
| X2 != plus(X4,X3)
| ~ holdsAt(waterLevel(X4),X1) ),
inference(split_conjunct,[status(thm)],[85]) ).
fof(87,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)],[53]) ).
fof(88,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)],[87]) ).
fof(89,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)],[88]) ).
cnf(90,plain,
( ~ releasedAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| ~ terminates(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[89]) ).
cnf(91,plain,
( ~ releasedAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| ~ initiates(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[89]) ).
fof(92,plain,
! [X9] : filling != waterLevel(X9),
inference(variable_rename,[status(thm)],[7]) ).
cnf(93,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(94,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[8]) ).
fof(98,plain,
! [X1,X2,X3,X9,X7] :
( ~ happens(X1,X2)
| ~ initiates(X1,X3,X2)
| ~ less(n0,X7)
| ~ trajectory(X3,X2,X9,X7)
| stoppedIn(X2,X3,plus(X2,X7))
| holdsAt(X9,plus(X2,X7)) ),
inference(fof_nnf,[status(thm)],[54]) ).
fof(99,plain,
! [X10,X11,X12,X13,X14] :
( ~ happens(X10,X11)
| ~ initiates(X10,X12,X11)
| ~ less(n0,X14)
| ~ trajectory(X12,X11,X13,X14)
| stoppedIn(X11,X12,plus(X11,X14))
| holdsAt(X13,plus(X11,X14)) ),
inference(variable_rename,[status(thm)],[98]) ).
cnf(100,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)],[99]) ).
fof(101,plain,
! [X1,X2,X3] :
( ~ happens(X1,X2)
| ~ initiates(X1,X3,X2)
| holdsAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(102,plain,
! [X4,X5,X6] :
( ~ happens(X4,X5)
| ~ initiates(X4,X6,X5)
| holdsAt(X6,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[101]) ).
cnf(103,plain,
( holdsAt(X1,plus(X2,n1))
| ~ initiates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[102]) ).
fof(104,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)],[13]) ).
fof(105,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)],[104]) ).
fof(106,plain,
! [X4,X5] :
( ~ releasedAt(X4,X5)
| ( happens(esk1_2(X4,X5),X5)
& ( initiates(esk1_2(X4,X5),X4,X5)
| terminates(esk1_2(X4,X5),X4,X5) ) )
| releasedAt(X4,plus(X5,n1)) ),
inference(skolemize,[status(esa)],[105]) ).
fof(107,plain,
! [X4,X5] :
( ( happens(esk1_2(X4,X5),X5)
| ~ releasedAt(X4,X5)
| releasedAt(X4,plus(X5,n1)) )
& ( initiates(esk1_2(X4,X5),X4,X5)
| terminates(esk1_2(X4,X5),X4,X5)
| ~ releasedAt(X4,X5)
| releasedAt(X4,plus(X5,n1)) ) ),
inference(distribute,[status(thm)],[106]) ).
cnf(108,plain,
( releasedAt(X1,plus(X2,n1))
| terminates(esk1_2(X1,X2),X1,X2)
| initiates(esk1_2(X1,X2),X1,X2)
| ~ releasedAt(X1,X2) ),
inference(split_conjunct,[status(thm)],[107]) ).
cnf(109,plain,
( releasedAt(X1,plus(X2,n1))
| happens(esk1_2(X1,X2),X2)
| ~ releasedAt(X1,X2) ),
inference(split_conjunct,[status(thm)],[107]) ).
fof(110,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)],[14]) ).
fof(111,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)],[110]) ).
fof(112,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)],[111]) ).
cnf(113,plain,
( terminates(X1,X2,X3)
| X2 != filling
| X1 != overflow ),
inference(split_conjunct,[status(thm)],[112]) ).
cnf(115,plain,
( X2 = filling
| X2 = filling
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[112]) ).
cnf(118,plain,
( X1 = tapOff
| X1 = overflow
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[112]) ).
cnf(125,plain,
overflow != tapOn,
inference(split_conjunct,[status(thm)],[16]) ).
fof(130,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)],[56]) ).
fof(131,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)],[130]) ).
fof(132,plain,
! [X4,X5] :
( holdsAt(X4,X5)
| releasedAt(X4,plus(X5,n1))
| ( happens(esk3_2(X4,X5),X5)
& initiates(esk3_2(X4,X5),X4,X5) )
| ~ holdsAt(X4,plus(X5,n1)) ),
inference(skolemize,[status(esa)],[131]) ).
fof(133,plain,
! [X4,X5] :
( ( happens(esk3_2(X4,X5),X5)
| holdsAt(X4,X5)
| releasedAt(X4,plus(X5,n1))
| ~ holdsAt(X4,plus(X5,n1)) )
& ( initiates(esk3_2(X4,X5),X4,X5)
| holdsAt(X4,X5)
| releasedAt(X4,plus(X5,n1))
| ~ holdsAt(X4,plus(X5,n1)) ) ),
inference(distribute,[status(thm)],[132]) ).
cnf(134,plain,
( releasedAt(X1,plus(X2,n1))
| holdsAt(X1,X2)
| initiates(esk3_2(X1,X2),X1,X2)
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[133]) ).
cnf(135,plain,
( releasedAt(X1,plus(X2,n1))
| holdsAt(X1,X2)
| happens(esk3_2(X1,X2),X2)
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[133]) ).
fof(136,plain,
! [X11,X3,X12] :
( ( ~ stoppedIn(X11,X3,X12)
| ? [X1,X2] :
( happens(X1,X2)
& less(X11,X2)
& less(X2,X12)
& terminates(X1,X3,X2) ) )
& ( ! [X1,X2] :
( ~ happens(X1,X2)
| ~ less(X11,X2)
| ~ less(X2,X12)
| ~ terminates(X1,X3,X2) )
| stoppedIn(X11,X3,X12) ) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(137,plain,
! [X13,X14,X15] :
( ( ~ stoppedIn(X13,X14,X15)
| ? [X16,X17] :
( happens(X16,X17)
& less(X13,X17)
& less(X17,X15)
& terminates(X16,X14,X17) ) )
& ( ! [X18,X19] :
( ~ happens(X18,X19)
| ~ less(X13,X19)
| ~ less(X19,X15)
| ~ terminates(X18,X14,X19) )
| stoppedIn(X13,X14,X15) ) ),
inference(variable_rename,[status(thm)],[136]) ).
fof(138,plain,
! [X13,X14,X15] :
( ( ~ stoppedIn(X13,X14,X15)
| ( happens(esk4_3(X13,X14,X15),esk5_3(X13,X14,X15))
& less(X13,esk5_3(X13,X14,X15))
& less(esk5_3(X13,X14,X15),X15)
& terminates(esk4_3(X13,X14,X15),X14,esk5_3(X13,X14,X15)) ) )
& ( ! [X18,X19] :
( ~ happens(X18,X19)
| ~ less(X13,X19)
| ~ less(X19,X15)
| ~ terminates(X18,X14,X19) )
| stoppedIn(X13,X14,X15) ) ),
inference(skolemize,[status(esa)],[137]) ).
fof(139,plain,
! [X13,X14,X15,X18,X19] :
( ( ~ happens(X18,X19)
| ~ less(X13,X19)
| ~ less(X19,X15)
| ~ terminates(X18,X14,X19)
| stoppedIn(X13,X14,X15) )
& ( ~ stoppedIn(X13,X14,X15)
| ( happens(esk4_3(X13,X14,X15),esk5_3(X13,X14,X15))
& less(X13,esk5_3(X13,X14,X15))
& less(esk5_3(X13,X14,X15),X15)
& terminates(esk4_3(X13,X14,X15),X14,esk5_3(X13,X14,X15)) ) ) ),
inference(shift_quantors,[status(thm)],[138]) ).
fof(140,plain,
! [X13,X14,X15,X18,X19] :
( ( ~ happens(X18,X19)
| ~ less(X13,X19)
| ~ less(X19,X15)
| ~ terminates(X18,X14,X19)
| stoppedIn(X13,X14,X15) )
& ( happens(esk4_3(X13,X14,X15),esk5_3(X13,X14,X15))
| ~ stoppedIn(X13,X14,X15) )
& ( less(X13,esk5_3(X13,X14,X15))
| ~ stoppedIn(X13,X14,X15) )
& ( less(esk5_3(X13,X14,X15),X15)
| ~ stoppedIn(X13,X14,X15) )
& ( terminates(esk4_3(X13,X14,X15),X14,esk5_3(X13,X14,X15))
| ~ stoppedIn(X13,X14,X15) ) ),
inference(distribute,[status(thm)],[139]) ).
cnf(141,plain,
( terminates(esk4_3(X1,X2,X3),X2,esk5_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[140]) ).
cnf(142,plain,
( less(esk5_3(X1,X2,X3),X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[140]) ).
cnf(143,plain,
( less(X1,esk5_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[140]) ).
cnf(144,plain,
( happens(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[140]) ).
cnf(145,plain,
( stoppedIn(X1,X2,X3)
| ~ terminates(X4,X2,X5)
| ~ less(X5,X3)
| ~ less(X1,X5)
| ~ happens(X4,X5) ),
inference(split_conjunct,[status(thm)],[140]) ).
fof(146,plain,
! [X2,X5,X6] :
( ~ holdsAt(waterLevel(X5),X2)
| ~ holdsAt(waterLevel(X6),X2)
| X5 = X6 ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(147,plain,
! [X7,X8,X9] :
( ~ holdsAt(waterLevel(X8),X7)
| ~ holdsAt(waterLevel(X9),X7)
| X8 = X9 ),
inference(variable_rename,[status(thm)],[146]) ).
cnf(148,plain,
( X1 = X2
| ~ holdsAt(waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X1),X3) ),
inference(split_conjunct,[status(thm)],[147]) ).
cnf(150,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[22]) ).
cnf(151,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[23]) ).
cnf(152,plain,
plus(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[24]) ).
cnf(155,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[27]) ).
cnf(156,plain,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[28]) ).
fof(162,negated_conjecture,
? [X1] :
( happens(X1,n2)
& terminates(X1,filling,n2) ),
inference(fof_nnf,[status(thm)],[51]) ).
fof(163,negated_conjecture,
? [X2] :
( happens(X2,n2)
& terminates(X2,filling,n2) ),
inference(variable_rename,[status(thm)],[162]) ).
fof(164,negated_conjecture,
( happens(esk6_0,n2)
& terminates(esk6_0,filling,n2) ),
inference(skolemize,[status(esa)],[163]) ).
cnf(165,negated_conjecture,
terminates(esk6_0,filling,n2),
inference(split_conjunct,[status(thm)],[164]) ).
cnf(166,negated_conjecture,
happens(esk6_0,n2),
inference(split_conjunct,[status(thm)],[164]) ).
fof(167,plain,
! [X8,X10] :
( ( ~ less(X8,X10)
| ( ~ less(X10,X8)
& X10 != X8 ) )
& ( less(X10,X8)
| X10 = X8
| less(X8,X10) ) ),
inference(fof_nnf,[status(thm)],[59]) ).
fof(168,plain,
! [X11,X12] :
( ( ~ less(X11,X12)
| ( ~ less(X12,X11)
& X12 != X11 ) )
& ( less(X12,X11)
| X12 = X11
| less(X11,X12) ) ),
inference(variable_rename,[status(thm)],[167]) ).
fof(169,plain,
! [X11,X12] :
( ( ~ less(X12,X11)
| ~ less(X11,X12) )
& ( X12 != X11
| ~ less(X11,X12) )
& ( less(X12,X11)
| X12 = X11
| less(X11,X12) ) ),
inference(distribute,[status(thm)],[168]) ).
cnf(170,plain,
( less(X1,X2)
| X2 = X1
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[169]) ).
cnf(171,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[169]) ).
cnf(172,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[169]) ).
fof(174,plain,
! [X11,X12] : plus(X11,X12) = plus(X12,X11),
inference(variable_rename,[status(thm)],[37]) ).
cnf(175,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[174]) ).
fof(178,plain,
! [X8,X10] :
( ( ~ less_or_equal(X8,X10)
| less(X8,X10)
| X8 = X10 )
& ( ( ~ less(X8,X10)
& X8 != X10 )
| less_or_equal(X8,X10) ) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(179,plain,
! [X11,X12] :
( ( ~ less_or_equal(X11,X12)
| less(X11,X12)
| X11 = X12 )
& ( ( ~ less(X11,X12)
& X11 != X12 )
| less_or_equal(X11,X12) ) ),
inference(variable_rename,[status(thm)],[178]) ).
fof(180,plain,
! [X11,X12] :
( ( ~ less_or_equal(X11,X12)
| less(X11,X12)
| X11 = X12 )
& ( ~ less(X11,X12)
| less_or_equal(X11,X12) )
& ( X11 != X12
| less_or_equal(X11,X12) ) ),
inference(distribute,[status(thm)],[179]) ).
cnf(181,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[180]) ).
cnf(183,plain,
( X1 = X2
| less(X1,X2)
| ~ less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[180]) ).
cnf(184,plain,
~ holdsAt(filling,n0),
inference(split_conjunct,[status(thm)],[62]) ).
fof(209,plain,
! [X8] : ~ less(X8,n0),
inference(fof_nnf,[status(thm)],[47]) ).
fof(210,plain,
! [X9] : ~ less(X9,n0),
inference(variable_rename,[status(thm)],[209]) ).
cnf(211,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[210]) ).
fof(212,plain,
! [X8] :
( ( ~ less(X8,n1)
| less_or_equal(X8,n0) )
& ( ~ less_or_equal(X8,n0)
| less(X8,n1) ) ),
inference(fof_nnf,[status(thm)],[48]) ).
fof(213,plain,
! [X9] :
( ( ~ less(X9,n1)
| less_or_equal(X9,n0) )
& ( ~ less_or_equal(X9,n0)
| less(X9,n1) ) ),
inference(variable_rename,[status(thm)],[212]) ).
cnf(214,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(215,plain,
( less_or_equal(X1,n0)
| ~ less(X1,n1) ),
inference(split_conjunct,[status(thm)],[213]) ).
fof(216,plain,
! [X8] :
( ( ~ less(X8,n2)
| less_or_equal(X8,n1) )
& ( ~ less_or_equal(X8,n1)
| less(X8,n2) ) ),
inference(fof_nnf,[status(thm)],[49]) ).
fof(217,plain,
! [X9] :
( ( ~ less(X9,n2)
| less_or_equal(X9,n1) )
& ( ~ less_or_equal(X9,n1)
| less(X9,n2) ) ),
inference(variable_rename,[status(thm)],[216]) ).
cnf(218,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[217]) ).
cnf(219,plain,
( less_or_equal(X1,n1)
| ~ less(X1,n2) ),
inference(split_conjunct,[status(thm)],[217]) ).
fof(220,plain,
! [X8] :
( ( ~ less(X8,n3)
| less_or_equal(X8,n2) )
& ( ~ less_or_equal(X8,n2)
| less(X8,n3) ) ),
inference(fof_nnf,[status(thm)],[50]) ).
fof(221,plain,
! [X9] :
( ( ~ less(X9,n3)
| less_or_equal(X9,n2) )
& ( ~ less_or_equal(X9,n2)
| less(X9,n3) ) ),
inference(variable_rename,[status(thm)],[220]) ).
cnf(222,plain,
( less(X1,n3)
| ~ less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(223,plain,
( less_or_equal(X1,n2)
| ~ less(X1,n3) ),
inference(split_conjunct,[status(thm)],[221]) ).
fof(224,plain,
! [X1,X2,X3] :
( ( ~ epred1_3(X3,X2,X1)
| ( X1 = tapOn
& X3 = filling )
| ( X1 = overflow
& X3 = spilling )
| ? [X4] :
( holdsAt(waterLevel(X4),X2)
& X1 = tapOff
& X3 = waterLevel(X4) )
| ? [X4] :
( holdsAt(waterLevel(X4),X2)
& X1 = overflow
& X3 = waterLevel(X4) ) )
& ( ( ( X1 != tapOn
| X3 != filling )
& ( X1 != overflow
| X3 != spilling )
& ! [X4] :
( ~ holdsAt(waterLevel(X4),X2)
| X1 != tapOff
| X3 != waterLevel(X4) )
& ! [X4] :
( ~ holdsAt(waterLevel(X4),X2)
| X1 != overflow
| X3 != waterLevel(X4) ) )
| epred1_3(X3,X2,X1) ) ),
inference(fof_nnf,[status(thm)],[63]) ).
fof(225,plain,
! [X5,X6,X7] :
( ( ~ epred1_3(X7,X6,X5)
| ( X5 = tapOn
& X7 = filling )
| ( X5 = overflow
& X7 = spilling )
| ? [X8] :
( holdsAt(waterLevel(X8),X6)
& X5 = tapOff
& X7 = waterLevel(X8) )
| ? [X9] :
( holdsAt(waterLevel(X9),X6)
& X5 = overflow
& X7 = waterLevel(X9) ) )
& ( ( ( X5 != tapOn
| X7 != filling )
& ( X5 != overflow
| X7 != spilling )
& ! [X10] :
( ~ holdsAt(waterLevel(X10),X6)
| X5 != tapOff
| X7 != waterLevel(X10) )
& ! [X11] :
( ~ holdsAt(waterLevel(X11),X6)
| X5 != overflow
| X7 != waterLevel(X11) ) )
| epred1_3(X7,X6,X5) ) ),
inference(variable_rename,[status(thm)],[224]) ).
fof(226,plain,
! [X5,X6,X7] :
( ( ~ epred1_3(X7,X6,X5)
| ( X5 = tapOn
& X7 = filling )
| ( X5 = overflow
& X7 = spilling )
| ( holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
& X5 = tapOff
& X7 = waterLevel(esk7_3(X5,X6,X7)) )
| ( holdsAt(waterLevel(esk8_3(X5,X6,X7)),X6)
& X5 = overflow
& X7 = waterLevel(esk8_3(X5,X6,X7)) ) )
& ( ( ( X5 != tapOn
| X7 != filling )
& ( X5 != overflow
| X7 != spilling )
& ! [X10] :
( ~ holdsAt(waterLevel(X10),X6)
| X5 != tapOff
| X7 != waterLevel(X10) )
& ! [X11] :
( ~ holdsAt(waterLevel(X11),X6)
| X5 != overflow
| X7 != waterLevel(X11) ) )
| epred1_3(X7,X6,X5) ) ),
inference(skolemize,[status(esa)],[225]) ).
fof(227,plain,
! [X5,X6,X7,X10,X11] :
( ( ( ( ~ holdsAt(waterLevel(X11),X6)
| X5 != overflow
| X7 != waterLevel(X11) )
& ( ~ holdsAt(waterLevel(X10),X6)
| X5 != tapOff
| X7 != waterLevel(X10) )
& ( X5 != tapOn
| X7 != filling )
& ( X5 != overflow
| X7 != spilling ) )
| epred1_3(X7,X6,X5) )
& ( ~ epred1_3(X7,X6,X5)
| ( X5 = tapOn
& X7 = filling )
| ( X5 = overflow
& X7 = spilling )
| ( holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
& X5 = tapOff
& X7 = waterLevel(esk7_3(X5,X6,X7)) )
| ( holdsAt(waterLevel(esk8_3(X5,X6,X7)),X6)
& X5 = overflow
& X7 = waterLevel(esk8_3(X5,X6,X7)) ) ) ),
inference(shift_quantors,[status(thm)],[226]) ).
fof(228,plain,
! [X5,X6,X7,X10,X11] :
( ( ~ holdsAt(waterLevel(X11),X6)
| X5 != overflow
| X7 != waterLevel(X11)
| epred1_3(X7,X6,X5) )
& ( ~ holdsAt(waterLevel(X10),X6)
| X5 != tapOff
| X7 != waterLevel(X10)
| epred1_3(X7,X6,X5) )
& ( X5 != tapOn
| X7 != filling
| epred1_3(X7,X6,X5) )
& ( X5 != overflow
| X7 != spilling
| epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk8_3(X5,X6,X7)),X6)
| holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| X5 = overflow
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| X5 = overflow
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk8_3(X5,X6,X7))
| holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| X5 = overflow
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk8_3(X5,X6,X7)),X6)
| X5 = tapOff
| X5 = overflow
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| X5 = tapOff
| X5 = overflow
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk8_3(X5,X6,X7))
| X5 = tapOff
| X5 = overflow
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk8_3(X5,X6,X7)),X6)
| X7 = waterLevel(esk7_3(X5,X6,X7))
| X5 = overflow
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| X7 = waterLevel(esk7_3(X5,X6,X7))
| X5 = overflow
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk8_3(X5,X6,X7))
| X7 = waterLevel(esk7_3(X5,X6,X7))
| X5 = overflow
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk8_3(X5,X6,X7)),X6)
| holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| X7 = spilling
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| X7 = spilling
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk8_3(X5,X6,X7))
| holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| X7 = spilling
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk8_3(X5,X6,X7)),X6)
| X5 = tapOff
| X7 = spilling
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| X5 = tapOff
| X7 = spilling
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk8_3(X5,X6,X7))
| X5 = tapOff
| X7 = spilling
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk8_3(X5,X6,X7)),X6)
| X7 = waterLevel(esk7_3(X5,X6,X7))
| X7 = spilling
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| X7 = waterLevel(esk7_3(X5,X6,X7))
| X7 = spilling
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk8_3(X5,X6,X7))
| X7 = waterLevel(esk7_3(X5,X6,X7))
| X7 = spilling
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk8_3(X5,X6,X7)),X6)
| holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| X5 = overflow
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| X5 = overflow
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk8_3(X5,X6,X7))
| holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| X5 = overflow
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk8_3(X5,X6,X7)),X6)
| X5 = tapOff
| X5 = overflow
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| X5 = tapOff
| X5 = overflow
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk8_3(X5,X6,X7))
| X5 = tapOff
| X5 = overflow
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk8_3(X5,X6,X7)),X6)
| X7 = waterLevel(esk7_3(X5,X6,X7))
| X5 = overflow
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| X7 = waterLevel(esk7_3(X5,X6,X7))
| X5 = overflow
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk8_3(X5,X6,X7))
| X7 = waterLevel(esk7_3(X5,X6,X7))
| X5 = overflow
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk8_3(X5,X6,X7)),X6)
| holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| X7 = spilling
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| X7 = spilling
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk8_3(X5,X6,X7))
| holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| X7 = spilling
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk8_3(X5,X6,X7)),X6)
| X5 = tapOff
| X7 = spilling
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| X5 = tapOff
| X7 = spilling
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk8_3(X5,X6,X7))
| X5 = tapOff
| X7 = spilling
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk8_3(X5,X6,X7)),X6)
| X7 = waterLevel(esk7_3(X5,X6,X7))
| X7 = spilling
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| X7 = waterLevel(esk7_3(X5,X6,X7))
| X7 = spilling
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk8_3(X5,X6,X7))
| X7 = waterLevel(esk7_3(X5,X6,X7))
| X7 = spilling
| X7 = filling
| ~ epred1_3(X7,X6,X5) ) ),
inference(distribute,[status(thm)],[227]) ).
cnf(245,plain,
( X1 = filling
| X3 = overflow
| holdsAt(waterLevel(esk7_3(X3,X2,X1)),X2)
| X3 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[228]) ).
cnf(257,plain,
( X3 = tapOn
| X3 = overflow
| X1 = waterLevel(esk7_3(X3,X2,X1))
| X3 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[228]) ).
cnf(266,plain,
( epred1_3(X1,X2,X3)
| X1 != filling
| X3 != tapOn ),
inference(split_conjunct,[status(thm)],[228]) ).
cnf(267,plain,
( epred1_3(X1,X2,X3)
| X1 != waterLevel(X4)
| X3 != tapOff
| ~ holdsAt(waterLevel(X4),X2) ),
inference(split_conjunct,[status(thm)],[228]) ).
cnf(270,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[181,theory(equality)]) ).
cnf(271,plain,
~ less(X1,X1),
inference(er,[status(thm)],[171,theory(equality)]) ).
cnf(281,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[155,175,theory(equality)]) ).
cnf(289,negated_conjecture,
( overflow = esk6_0
| tapOn = esk6_0 ),
inference(spm,[status(thm)],[73,166,theory(equality)]) ).
cnf(303,plain,
( X1 = n0
| less(n0,X1) ),
inference(spm,[status(thm)],[211,170,theory(equality)]) ).
cnf(318,negated_conjecture,
( tapOff = esk6_0
| overflow = esk6_0 ),
inference(spm,[status(thm)],[118,165,theory(equality)]) ).
cnf(327,plain,
( X1 = n1
| less(X1,n1)
| ~ less(X1,n2) ),
inference(spm,[status(thm)],[183,219,theory(equality)]) ).
cnf(329,plain,
( X1 = n2
| less(X1,n2)
| ~ less(X1,n3) ),
inference(spm,[status(thm)],[183,223,theory(equality)]) ).
cnf(330,plain,
( X1 = n0
| less(X1,n0)
| ~ less(X1,n1) ),
inference(spm,[status(thm)],[183,215,theory(equality)]) ).
cnf(337,plain,
( X1 = n0
| ~ less(X1,n1) ),
inference(sr,[status(thm)],[330,211,theory(equality)]) ).
cnf(345,plain,
( ~ less(esk5_3(X1,X2,X3),X1)
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[172,143,theory(equality)]) ).
cnf(357,plain,
( holdsAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| ~ epred1_3(X1,X2,X3) ),
inference(spm,[status(thm)],[103,82,theory(equality)]) ).
cnf(359,plain,
( ~ holdsAt(X2,plus(X3,n1))
| ~ happens(X1,X3)
| filling != X2
| overflow != X1 ),
inference(spm,[status(thm)],[79,113,theory(equality)]) ).
cnf(366,plain,
( overflow = X1
| tapOn = X1
| X3 != filling
| ~ epred1_3(X3,X2,X1) ),
inference(spm,[status(thm)],[93,257,theory(equality)]) ).
cnf(378,plain,
( overflow = esk4_3(X1,X2,X3)
| tapOn = esk4_3(X1,X2,X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[73,144,theory(equality)]) ).
cnf(385,plain,
( overflow = esk1_2(X1,X2)
| n0 = X2
| releasedAt(X1,plus(X2,n1))
| ~ releasedAt(X1,X2) ),
inference(spm,[status(thm)],[70,109,theory(equality)]) ).
cnf(395,plain,
( epred1_3(X1,n0,X2)
| waterLevel(n0) != X1
| tapOff != X2 ),
inference(spm,[status(thm)],[267,156,theory(equality)]) ).
cnf(401,plain,
( tapOff = esk4_3(X1,X2,X3)
| overflow = esk4_3(X1,X2,X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[118,141,theory(equality)]) ).
cnf(408,plain,
( ~ releasedAt(X1,plus(n1,X2))
| ~ terminates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(spm,[status(thm)],[90,175,theory(equality)]) ).
cnf(417,plain,
( ~ releasedAt(X1,plus(n1,X2))
| ~ initiates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(spm,[status(thm)],[91,175,theory(equality)]) ).
cnf(433,plain,
( overflow = X1
| filling = X2
| holdsAt(X2,X3)
| tapOn = X1
| ~ epred1_3(X2,X3,X1) ),
inference(spm,[status(thm)],[245,257,theory(equality)]) ).
cnf(447,plain,
( stoppedIn(X1,X2,X3)
| ~ less(esk5_3(X4,X2,X5),X3)
| ~ less(X1,esk5_3(X4,X2,X5))
| ~ happens(esk4_3(X4,X2,X5),esk5_3(X4,X2,X5))
| ~ stoppedIn(X4,X2,X5) ),
inference(spm,[status(thm)],[145,141,theory(equality)]) ).
cnf(453,plain,
( overflow = esk3_2(X1,X2)
| n0 = X2
| releasedAt(X1,plus(X2,n1))
| holdsAt(X1,X2)
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[70,135,theory(equality)]) ).
cnf(454,plain,
( tapOn = esk3_2(X1,X2)
| holdsAt(filling,X2)
| releasedAt(X1,plus(X2,n1))
| holdsAt(X1,X2)
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[74,135,theory(equality)]) ).
cnf(491,plain,
( epred1_3(X1,X2,esk1_2(X1,X2))
| releasedAt(X1,plus(X2,n1))
| terminates(esk1_2(X1,X2),X1,X2)
| ~ releasedAt(X1,X2) ),
inference(spm,[status(thm)],[83,108,theory(equality)]) ).
cnf(492,plain,
( holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| terminates(esk1_2(X1,X2),X1,X2)
| ~ happens(esk1_2(X1,X2),X2)
| ~ releasedAt(X1,X2) ),
inference(spm,[status(thm)],[103,108,theory(equality)]) ).
cnf(579,negated_conjecture,
( tapOff = tapOn
| tapOff = overflow
| esk6_0 = overflow ),
inference(spm,[status(thm)],[289,318,theory(equality)]) ).
cnf(581,negated_conjecture,
( tapOff = overflow
| esk6_0 = overflow ),
inference(sr,[status(thm)],[579,94,theory(equality)]) ).
cnf(582,negated_conjecture,
esk6_0 = overflow,
inference(sr,[status(thm)],[581,76,theory(equality)]) ).
cnf(584,negated_conjecture,
terminates(overflow,filling,n2),
inference(rw,[status(thm)],[165,582,theory(equality)]) ).
cnf(585,negated_conjecture,
happens(overflow,n2),
inference(rw,[status(thm)],[166,582,theory(equality)]) ).
cnf(591,negated_conjecture,
( tapOn = overflow
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[74,585,theory(equality)]) ).
cnf(593,negated_conjecture,
( tapOn = overflow
| holdsAt(waterLevel(n3),n2) ),
inference(spm,[status(thm)],[75,585,theory(equality)]) ).
cnf(595,negated_conjecture,
holdsAt(filling,n2),
inference(sr,[status(thm)],[591,125,theory(equality)]) ).
cnf(596,negated_conjecture,
holdsAt(waterLevel(n3),n2),
inference(sr,[status(thm)],[593,125,theory(equality)]) ).
cnf(597,negated_conjecture,
( ~ holdsAt(filling,plus(n2,n1))
| ~ happens(overflow,n2) ),
inference(spm,[status(thm)],[79,584,theory(equality)]) ).
cnf(598,negated_conjecture,
( stoppedIn(X1,filling,X2)
| ~ less(n2,X2)
| ~ less(X1,n2)
| ~ happens(overflow,n2) ),
inference(spm,[status(thm)],[145,584,theory(equality)]) ).
cnf(599,negated_conjecture,
( ~ holdsAt(filling,n3)
| ~ happens(overflow,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[597,175,theory(equality)]),150,theory(equality)]) ).
cnf(600,negated_conjecture,
( ~ holdsAt(filling,n3)
| $false ),
inference(rw,[status(thm)],[599,585,theory(equality)]) ).
cnf(601,negated_conjecture,
~ holdsAt(filling,n3),
inference(cn,[status(thm)],[600,theory(equality)]) ).
cnf(602,negated_conjecture,
( stoppedIn(X1,filling,X2)
| ~ less(n2,X2)
| ~ less(X1,n2)
| $false ),
inference(rw,[status(thm)],[598,585,theory(equality)]) ).
cnf(603,negated_conjecture,
( stoppedIn(X1,filling,X2)
| ~ less(n2,X2)
| ~ less(X1,n2) ),
inference(cn,[status(thm)],[602,theory(equality)]) ).
cnf(605,negated_conjecture,
( X1 = n3
| ~ holdsAt(waterLevel(X1),n2) ),
inference(spm,[status(thm)],[148,596,theory(equality)]) ).
cnf(614,plain,
less(n2,n3),
inference(spm,[status(thm)],[222,270,theory(equality)]) ).
cnf(615,plain,
less(n1,n2),
inference(spm,[status(thm)],[218,270,theory(equality)]) ).
cnf(616,plain,
less(n0,n1),
inference(spm,[status(thm)],[214,270,theory(equality)]) ).
cnf(633,plain,
( esk5_3(X1,X2,n1) = n0
| ~ stoppedIn(X1,X2,n1) ),
inference(spm,[status(thm)],[337,142,theory(equality)]) ).
cnf(746,plain,
( X1 = n1
| less(X1,n1)
| X1 = n2
| less(n2,X1) ),
inference(spm,[status(thm)],[327,170,theory(equality)]) ).
cnf(748,plain,
( esk5_3(X1,X2,n2) = n1
| less(esk5_3(X1,X2,n2),n1)
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[327,142,theory(equality)]) ).
cnf(764,plain,
( X1 = n2
| ~ less(n2,X1)
| ~ less(X1,n3) ),
inference(spm,[status(thm)],[172,329,theory(equality)]) ).
cnf(1033,plain,
( holdsAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| tapOn != X3
| filling != X1 ),
inference(spm,[status(thm)],[357,266,theory(equality)]) ).
cnf(1067,plain,
( filling != X1
| overflow != X2
| ~ holdsAt(X1,n2)
| ~ happens(X2,n1) ),
inference(spm,[status(thm)],[359,151,theory(equality)]) ).
fof(1080,plain,
( ~ epred2_0
<=> ! [X1] :
( ~ holdsAt(X1,n2)
| filling != X1 ) ),
introduced(definition),
[split] ).
cnf(1081,plain,
( epred2_0
| ~ holdsAt(X1,n2)
| filling != X1 ),
inference(split_equiv,[status(thm)],[1080]) ).
fof(1082,plain,
( ~ epred3_0
<=> ! [X2] :
( ~ happens(X2,n1)
| overflow != X2 ) ),
introduced(definition),
[split] ).
cnf(1083,plain,
( epred3_0
| ~ happens(X2,n1)
| overflow != X2 ),
inference(split_equiv,[status(thm)],[1082]) ).
cnf(1084,plain,
( ~ epred3_0
| ~ epred2_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[1067,1080,theory(equality)]),1082,theory(equality)]),
[split] ).
cnf(1087,plain,
( epred3_0
| releasedAt(X1,plus(n1,n1))
| overflow != esk1_2(X1,n1)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[1083,109,theory(equality)]) ).
cnf(1089,plain,
( epred3_0
| releasedAt(X1,plus(n1,n1))
| holdsAt(X1,n1)
| overflow != esk3_2(X1,n1)
| ~ holdsAt(X1,plus(n1,n1)) ),
inference(spm,[status(thm)],[1083,135,theory(equality)]) ).
cnf(1090,plain,
( epred3_0
| releasedAt(X1,n2)
| overflow != esk1_2(X1,n1)
| ~ releasedAt(X1,n1) ),
inference(rw,[status(thm)],[1087,151,theory(equality)]) ).
cnf(1093,plain,
( epred3_0
| releasedAt(X1,n2)
| holdsAt(X1,n1)
| overflow != esk3_2(X1,n1)
| ~ holdsAt(X1,plus(n1,n1)) ),
inference(rw,[status(thm)],[1089,151,theory(equality)]) ).
cnf(1094,plain,
( epred3_0
| releasedAt(X1,n2)
| holdsAt(X1,n1)
| overflow != esk3_2(X1,n1)
| ~ holdsAt(X1,n2) ),
inference(rw,[status(thm)],[1093,151,theory(equality)]) ).
cnf(1123,negated_conjecture,
epred2_0,
inference(spm,[status(thm)],[1081,595,theory(equality)]) ).
cnf(1136,plain,
( ~ epred3_0
| $false ),
inference(rw,[status(thm)],[1084,1123,theory(equality)]) ).
cnf(1137,plain,
~ epred3_0,
inference(cn,[status(thm)],[1136,theory(equality)]) ).
cnf(1370,plain,
( less(X1,n0)
| ~ stoppedIn(X1,X2,n1) ),
inference(spm,[status(thm)],[143,633,theory(equality)]) ).
cnf(1376,plain,
~ stoppedIn(X1,X2,n1),
inference(sr,[status(thm)],[1370,211,theory(equality)]) ).
cnf(1522,plain,
( esk1_2(X1,X2) = overflow
| n0 = X2
| releasedAt(X1,plus(n1,X2))
| ~ releasedAt(X1,X2) ),
inference(spm,[status(thm)],[385,175,theory(equality)]) ).
cnf(1758,plain,
( tapOff = tapOn
| tapOff = overflow
| esk4_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[378,401,theory(equality)]) ).
cnf(1760,plain,
( tapOff = overflow
| esk4_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[1758,94,theory(equality)]) ).
cnf(1761,plain,
( esk4_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[1760,76,theory(equality)]) ).
cnf(1763,plain,
( happens(overflow,esk5_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[144,1761,theory(equality)]) ).
cnf(1871,plain,
( X1 = n0
| X1 = n2
| X1 = n1
| less(n2,X1) ),
inference(spm,[status(thm)],[337,746,theory(equality)]) ).
cnf(1931,plain,
( ~ releasedAt(X1,n3)
| ~ terminates(X2,X1,n2)
| ~ happens(X2,n2) ),
inference(spm,[status(thm)],[408,150,theory(equality)]) ).
cnf(1960,plain,
( X1 = n2
| X1 = n1
| X1 = n0
| ~ less(X1,n3) ),
inference(spm,[status(thm)],[764,1871,theory(equality)]) ).
cnf(2015,plain,
( esk5_3(X1,X2,n3) = n0
| esk5_3(X1,X2,n3) = n1
| esk5_3(X1,X2,n3) = n2
| ~ stoppedIn(X1,X2,n3) ),
inference(spm,[status(thm)],[1960,142,theory(equality)]) ).
cnf(2158,plain,
( ~ releasedAt(X1,n1)
| ~ initiates(X2,X1,n0)
| ~ happens(X2,n0) ),
inference(spm,[status(thm)],[417,281,theory(equality)]) ).
cnf(2514,plain,
( overflow = X1
| tapOn = X1
| holdsAt(X2,X3)
| ~ epred1_3(X2,X3,X1) ),
inference(csr,[status(thm)],[433,366]) ).
cnf(2520,plain,
( tapOn = X1
| overflow = X1
| holdsAt(X2,n0)
| waterLevel(n0) != X2
| tapOff != X1 ),
inference(spm,[status(thm)],[2514,395,theory(equality)]) ).
cnf(2876,negated_conjecture,
( ~ releasedAt(filling,n3)
| ~ happens(overflow,n2) ),
inference(spm,[status(thm)],[1931,584,theory(equality)]) ).
cnf(2880,negated_conjecture,
( ~ releasedAt(filling,n3)
| $false ),
inference(rw,[status(thm)],[2876,585,theory(equality)]) ).
cnf(2881,negated_conjecture,
~ releasedAt(filling,n3),
inference(cn,[status(thm)],[2880,theory(equality)]) ).
cnf(3175,plain,
( stoppedIn(X1,X2,X3)
| ~ stoppedIn(X4,X2,X5)
| ~ less(esk5_3(X4,X2,X5),X3)
| ~ less(X1,esk5_3(X4,X2,X5)) ),
inference(csr,[status(thm)],[447,144]) ).
cnf(3179,plain,
( stoppedIn(X1,X2,X3)
| ~ stoppedIn(X4,X2,X3)
| ~ less(X1,esk5_3(X4,X2,X3)) ),
inference(spm,[status(thm)],[3175,142,theory(equality)]) ).
cnf(3269,plain,
( esk3_2(X1,n1) = overflow
| n0 = n1
| releasedAt(X1,n2)
| holdsAt(X1,n1)
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[453,151,theory(equality)]) ).
cnf(3357,plain,
( esk3_2(X1,X2) = tapOn
| releasedAt(X1,plus(n1,X2))
| holdsAt(filling,X2)
| holdsAt(X1,X2)
| ~ holdsAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[454,175,theory(equality)]) ).
cnf(3938,plain,
( ~ releasedAt(X1,n1)
| ~ happens(X2,n0)
| ~ epred1_3(X1,n0,X2) ),
inference(spm,[status(thm)],[2158,82,theory(equality)]) ).
cnf(4490,plain,
( ~ releasedAt(X1,n1)
| ~ happens(X2,n0)
| tapOn != X2
| filling != X1 ),
inference(spm,[status(thm)],[3938,266,theory(equality)]) ).
fof(4494,plain,
( ~ epred44_0
<=> ! [X1] :
( filling != X1
| ~ releasedAt(X1,n1) ) ),
introduced(definition),
[split] ).
cnf(4495,plain,
( epred44_0
| filling != X1
| ~ releasedAt(X1,n1) ),
inference(split_equiv,[status(thm)],[4494]) ).
fof(4496,plain,
( ~ epred45_0
<=> ! [X2] :
( tapOn != X2
| ~ happens(X2,n0) ) ),
introduced(definition),
[split] ).
cnf(4497,plain,
( epred45_0
| tapOn != X2
| ~ happens(X2,n0) ),
inference(split_equiv,[status(thm)],[4496]) ).
cnf(4498,plain,
( ~ epred45_0
| ~ epred44_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[4490,4494,theory(equality)]),4496,theory(equality)]),
[split] ).
cnf(4520,plain,
( epred45_0
| tapOn != X1 ),
inference(spm,[status(thm)],[4497,69,theory(equality)]) ).
cnf(4530,plain,
epred45_0,
inference(er,[status(thm)],[4520,theory(equality)]) ).
cnf(4532,plain,
( $false
| ~ epred44_0 ),
inference(rw,[status(thm)],[4498,4530,theory(equality)]) ).
cnf(4533,plain,
~ epred44_0,
inference(cn,[status(thm)],[4532,theory(equality)]) ).
cnf(4581,plain,
( filling != X1
| ~ releasedAt(X1,n1) ),
inference(sr,[status(thm)],[4495,4533,theory(equality)]) ).
cnf(4653,plain,
( releasedAt(X1,plus(X2,n1))
| terminates(esk1_2(X1,X2),X1,X2)
| holdsAt(X1,plus(X2,n1))
| ~ releasedAt(X1,X2) ),
inference(csr,[status(thm)],[492,109]) ).
cnf(5154,plain,
( releasedAt(X1,n2)
| esk1_2(X1,n1) != overflow
| ~ releasedAt(X1,n1) ),
inference(sr,[status(thm)],[1090,1137,theory(equality)]) ).
cnf(5235,plain,
( overflow = tapOff
| tapOn = tapOff
| holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(er,[status(thm)],[2520,theory(equality)]) ).
cnf(5236,plain,
( tapOff = tapOn
| holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(sr,[status(thm)],[5235,76,theory(equality)]) ).
cnf(5237,plain,
( holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(sr,[status(thm)],[5236,94,theory(equality)]) ).
cnf(5243,plain,
( trajectory(filling,n0,waterLevel(X1),X2)
| plus(X3,X2) != X1
| waterLevel(n0) != waterLevel(X3) ),
inference(spm,[status(thm)],[86,5237,theory(equality)]) ).
cnf(6319,plain,
( holdsAt(X1,plus(X2,n1))
| tapOn != X3
| filling != X1
| n0 != X2 ),
inference(spm,[status(thm)],[1033,69,theory(equality)]) ).
cnf(6979,plain,
( stoppedIn(n0,X1,X2)
| esk5_3(X3,X1,X2) = n0
| ~ stoppedIn(X3,X1,X2) ),
inference(spm,[status(thm)],[3179,303,theory(equality)]) ).
cnf(7009,plain,
( less(X1,n0)
| stoppedIn(n0,X2,X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[143,6979,theory(equality)]) ).
cnf(7052,plain,
( stoppedIn(n0,X2,X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[7009,211,theory(equality)]) ).
cnf(7075,negated_conjecture,
( stoppedIn(n0,filling,X1)
| ~ less(n2,X1)
| ~ less(X2,n2) ),
inference(spm,[status(thm)],[7052,603,theory(equality)]) ).
cnf(7189,negated_conjecture,
( stoppedIn(n0,filling,X1)
| ~ less(n2,X1) ),
inference(spm,[status(thm)],[7075,615,theory(equality)]) ).
cnf(7852,plain,
( trajectory(filling,n0,waterLevel(plus(X1,X2)),X2)
| waterLevel(n0) != waterLevel(X1) ),
inference(er,[status(thm)],[5243,theory(equality)]) ).
cnf(7853,plain,
( trajectory(filling,n0,waterLevel(X1),n2)
| n2 != X1 ),
inference(spm,[status(thm)],[5243,152,theory(equality)]) ).
cnf(7871,plain,
( stoppedIn(n0,filling,plus(n0,n2))
| holdsAt(waterLevel(X1),plus(n0,n2))
| ~ less(n0,n2)
| ~ initiates(X2,filling,n0)
| ~ happens(X2,n0)
| n2 != X1 ),
inference(spm,[status(thm)],[100,7853,theory(equality)]) ).
cnf(7874,plain,
( stoppedIn(n0,filling,n2)
| holdsAt(waterLevel(X1),plus(n0,n2))
| ~ less(n0,n2)
| ~ initiates(X2,filling,n0)
| ~ happens(X2,n0)
| n2 != X1 ),
inference(rw,[status(thm)],[7871,152,theory(equality)]) ).
cnf(7875,plain,
( stoppedIn(n0,filling,n2)
| holdsAt(waterLevel(X1),n2)
| ~ less(n0,n2)
| ~ initiates(X2,filling,n0)
| ~ happens(X2,n0)
| n2 != X1 ),
inference(rw,[status(thm)],[7874,152,theory(equality)]) ).
cnf(7933,plain,
( trajectory(filling,n0,waterLevel(plus(X2,X1)),X2)
| waterLevel(n0) != waterLevel(X1) ),
inference(spm,[status(thm)],[7852,175,theory(equality)]) ).
cnf(8035,plain,
trajectory(filling,n0,waterLevel(n1),n1),
inference(spm,[status(thm)],[7933,281,theory(equality)]) ).
cnf(8042,plain,
( stoppedIn(n0,filling,plus(n0,n1))
| holdsAt(waterLevel(n1),plus(n0,n1))
| ~ less(n0,n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(spm,[status(thm)],[100,8035,theory(equality)]) ).
cnf(8043,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),plus(n0,n1))
| ~ less(n0,n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8042,175,theory(equality)]),281,theory(equality)]) ).
cnf(8044,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1)
| ~ less(n0,n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8043,175,theory(equality)]),281,theory(equality)]) ).
cnf(8045,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1)
| $false
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(rw,[status(thm)],[8044,616,theory(equality)]) ).
cnf(8046,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(cn,[status(thm)],[8045,theory(equality)]) ).
cnf(8047,plain,
( holdsAt(waterLevel(n1),n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(sr,[status(thm)],[8046,1376,theory(equality)]) ).
cnf(8061,plain,
( holdsAt(waterLevel(n1),n1)
| ~ happens(X1,n0)
| ~ epred1_3(filling,n0,X1) ),
inference(spm,[status(thm)],[8047,82,theory(equality)]) ).
cnf(8113,plain,
( holdsAt(waterLevel(n1),n1)
| ~ epred1_3(filling,n0,X1)
| tapOn != X1 ),
inference(spm,[status(thm)],[8061,69,theory(equality)]) ).
cnf(8123,plain,
( holdsAt(waterLevel(n1),n1)
| tapOn != X1 ),
inference(spm,[status(thm)],[8113,266,theory(equality)]) ).
cnf(8131,plain,
holdsAt(waterLevel(n1),n1),
inference(er,[status(thm)],[8123,theory(equality)]) ).
cnf(8134,plain,
( epred1_3(X1,n1,X2)
| waterLevel(n1) != X1
| tapOff != X2 ),
inference(spm,[status(thm)],[267,8131,theory(equality)]) ).
cnf(8283,plain,
( tapOn = X1
| overflow = X1
| holdsAt(X2,n1)
| waterLevel(n1) != X2
| tapOff != X1 ),
inference(spm,[status(thm)],[2514,8134,theory(equality)]) ).
cnf(9493,plain,
( overflow = tapOff
| tapOn = tapOff
| holdsAt(X1,n1)
| waterLevel(n1) != X1 ),
inference(er,[status(thm)],[8283,theory(equality)]) ).
cnf(9494,plain,
( tapOff = tapOn
| holdsAt(X1,n1)
| waterLevel(n1) != X1 ),
inference(sr,[status(thm)],[9493,76,theory(equality)]) ).
cnf(9495,plain,
( holdsAt(X1,n1)
| waterLevel(n1) != X1 ),
inference(sr,[status(thm)],[9494,94,theory(equality)]) ).
cnf(9499,plain,
( trajectory(filling,n1,waterLevel(X1),X2)
| plus(X3,X2) != X1
| waterLevel(n1) != waterLevel(X3) ),
inference(spm,[status(thm)],[86,9495,theory(equality)]) ).
cnf(10110,plain,
( esk5_3(X1,X2,n2) = n0
| esk5_3(X1,X2,n2) = n1
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[337,748,theory(equality)]) ).
cnf(10111,plain,
( esk5_3(n1,X1,n2) = n1
| ~ stoppedIn(n1,X1,n2) ),
inference(spm,[status(thm)],[345,748,theory(equality)]) ).
cnf(10130,plain,
( less(n1,n1)
| ~ stoppedIn(n1,X1,n2) ),
inference(spm,[status(thm)],[143,10111,theory(equality)]) ).
cnf(10147,plain,
~ stoppedIn(n1,X1,n2),
inference(sr,[status(thm)],[10130,271,theory(equality)]) ).
cnf(12829,plain,
( releasedAt(X1,n2)
| holdsAt(X1,n1)
| esk3_2(X1,n1) != overflow
| ~ holdsAt(X1,n2) ),
inference(sr,[status(thm)],[1094,1137,theory(equality)]) ).
cnf(12830,plain,
( trajectory(filling,n1,waterLevel(plus(X1,X2)),X2)
| waterLevel(n1) != waterLevel(X1) ),
inference(er,[status(thm)],[9499,theory(equality)]) ).
cnf(13035,plain,
trajectory(filling,n1,waterLevel(n2),n1),
inference(spm,[status(thm)],[12830,151,theory(equality)]) ).
cnf(13047,plain,
( stoppedIn(n1,filling,plus(n1,n1))
| holdsAt(waterLevel(n2),plus(n1,n1))
| ~ less(n0,n1)
| ~ initiates(X1,filling,n1)
| ~ happens(X1,n1) ),
inference(spm,[status(thm)],[100,13035,theory(equality)]) ).
cnf(13048,plain,
( stoppedIn(n1,filling,n2)
| holdsAt(waterLevel(n2),plus(n1,n1))
| ~ less(n0,n1)
| ~ initiates(X1,filling,n1)
| ~ happens(X1,n1) ),
inference(rw,[status(thm)],[13047,151,theory(equality)]) ).
cnf(13049,plain,
( stoppedIn(n1,filling,n2)
| holdsAt(waterLevel(n2),n2)
| ~ less(n0,n1)
| ~ initiates(X1,filling,n1)
| ~ happens(X1,n1) ),
inference(rw,[status(thm)],[13048,151,theory(equality)]) ).
cnf(13050,plain,
( stoppedIn(n1,filling,n2)
| holdsAt(waterLevel(n2),n2)
| $false
| ~ initiates(X1,filling,n1)
| ~ happens(X1,n1) ),
inference(rw,[status(thm)],[13049,616,theory(equality)]) ).
cnf(13051,plain,
( stoppedIn(n1,filling,n2)
| holdsAt(waterLevel(n2),n2)
| ~ initiates(X1,filling,n1)
| ~ happens(X1,n1) ),
inference(cn,[status(thm)],[13050,theory(equality)]) ).
cnf(13052,plain,
( holdsAt(waterLevel(n2),n2)
| ~ initiates(X1,filling,n1)
| ~ happens(X1,n1) ),
inference(sr,[status(thm)],[13051,10147,theory(equality)]) ).
cnf(13065,plain,
( holdsAt(waterLevel(n2),n2)
| ~ happens(X1,n1)
| ~ epred1_3(filling,n1,X1) ),
inference(spm,[status(thm)],[13052,82,theory(equality)]) ).
cnf(13072,plain,
( holdsAt(waterLevel(n2),n2)
| ~ epred1_3(filling,n1,X1)
| tapOn != X1
| n0 != n1 ),
inference(spm,[status(thm)],[13065,69,theory(equality)]) ).
cnf(13140,plain,
( holdsAt(waterLevel(n2),n2)
| n0 != n1
| tapOn != X1 ),
inference(spm,[status(thm)],[13072,266,theory(equality)]) ).
cnf(13148,plain,
( holdsAt(waterLevel(n2),n2)
| n0 != n1 ),
inference(er,[status(thm)],[13140,theory(equality)]) ).
cnf(13153,plain,
( n2 = n3
| n0 != n1 ),
inference(spm,[status(thm)],[605,13148,theory(equality)]) ).
cnf(13175,plain,
( holdsAt(filling,n3)
| n0 != n1 ),
inference(spm,[status(thm)],[595,13153,theory(equality)]) ).
cnf(13371,plain,
n0 != n1,
inference(sr,[status(thm)],[13175,601,theory(equality)]) ).
cnf(15808,plain,
( less(X1,n0)
| esk5_3(X1,X2,n2) = n1
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[143,10110,theory(equality)]) ).
cnf(15856,plain,
( esk5_3(X1,X2,n2) = n1
| ~ stoppedIn(X1,X2,n2) ),
inference(sr,[status(thm)],[15808,211,theory(equality)]) ).
cnf(15881,plain,
( happens(esk4_3(X1,X2,n2),n1)
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[144,15856,theory(equality)]) ).
cnf(16119,plain,
( epred3_0
| overflow != esk4_3(X1,X2,n2)
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[1083,15881,theory(equality)]) ).
cnf(16139,plain,
( esk4_3(X1,X2,n2) != overflow
| ~ stoppedIn(X1,X2,n2) ),
inference(sr,[status(thm)],[16119,1137,theory(equality)]) ).
cnf(16213,plain,
~ stoppedIn(X1,X2,n2),
inference(csr,[status(thm)],[16139,1761]) ).
cnf(17770,plain,
( holdsAt(X1,plus(X2,n1))
| filling != X1
| n0 != X2 ),
inference(er,[status(thm)],[6319,theory(equality)]) ).
cnf(17772,plain,
( holdsAt(X1,plus(n1,X2))
| filling != X1
| n0 != X2 ),
inference(spm,[status(thm)],[17770,175,theory(equality)]) ).
cnf(17778,plain,
( filling != X1
| overflow != X2
| ~ happens(X2,X3)
| n0 != X3 ),
inference(spm,[status(thm)],[359,17770,theory(equality)]) ).
fof(17817,plain,
( ~ epred84_0
<=> ! [X1] : filling != X1 ),
introduced(definition),
[split] ).
cnf(17818,plain,
( epred84_0
| filling != X1 ),
inference(split_equiv,[status(thm)],[17817]) ).
fof(17819,plain,
( ~ epred85_0
<=> ! [X3,X2] :
( n0 != X3
| ~ happens(X2,X3)
| overflow != X2 ) ),
introduced(definition),
[split] ).
cnf(17820,plain,
( epred85_0
| n0 != X3
| ~ happens(X2,X3)
| overflow != X2 ),
inference(split_equiv,[status(thm)],[17819]) ).
cnf(17821,plain,
( ~ epred85_0
| ~ epred84_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[17778,17817,theory(equality)]),17819,theory(equality)]),
[split] ).
cnf(17889,plain,
epred84_0,
inference(er,[status(thm)],[17818,theory(equality)]) ).
cnf(17915,plain,
( ~ epred85_0
| $false ),
inference(rw,[status(thm)],[17821,17889,theory(equality)]) ).
cnf(17916,plain,
~ epred85_0,
inference(cn,[status(thm)],[17915,theory(equality)]) ).
cnf(17995,plain,
( n0 != X3
| ~ happens(X2,X3)
| overflow != X2 ),
inference(sr,[status(thm)],[17820,17916,theory(equality)]) ).
cnf(17996,negated_conjecture,
n0 != n2,
inference(spm,[status(thm)],[17995,585,theory(equality)]) ).
cnf(18003,plain,
( n0 != esk5_3(X1,X2,X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[17995,1763,theory(equality)]) ).
cnf(18252,plain,
( holdsAt(X1,n1)
| filling != X1 ),
inference(spm,[status(thm)],[17772,281,theory(equality)]) ).
cnf(19202,plain,
( esk1_2(X1,n1) = overflow
| n0 = n1
| releasedAt(X1,n2)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[1522,151,theory(equality)]) ).
cnf(19203,plain,
( esk1_2(X1,n2) = overflow
| n0 = n2
| releasedAt(X1,n3)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[1522,150,theory(equality)]) ).
cnf(19211,plain,
( esk1_2(X1,n1) = overflow
| releasedAt(X1,n2)
| ~ releasedAt(X1,n1) ),
inference(sr,[status(thm)],[19202,13371,theory(equality)]) ).
cnf(19212,plain,
( esk1_2(X1,n2) = overflow
| releasedAt(X1,n3)
| ~ releasedAt(X1,n2) ),
inference(sr,[status(thm)],[19203,17996,theory(equality)]) ).
cnf(19295,plain,
( releasedAt(X1,n2)
| ~ releasedAt(X1,n1) ),
inference(csr,[status(thm)],[19211,5154]) ).
cnf(19309,plain,
( epred1_3(X1,n2,overflow)
| releasedAt(X1,plus(n2,n1))
| terminates(overflow,X1,n2)
| releasedAt(X1,n3)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[491,19212,theory(equality)]) ).
cnf(19310,plain,
( releasedAt(X1,plus(n2,n1))
| terminates(overflow,X1,n2)
| holdsAt(X1,plus(n2,n1))
| releasedAt(X1,n3)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[4653,19212,theory(equality)]) ).
cnf(19318,plain,
( epred1_3(X1,n2,overflow)
| releasedAt(X1,n3)
| terminates(overflow,X1,n2)
| releasedAt(X1,n3)
| ~ releasedAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19309,175,theory(equality)]),150,theory(equality)]) ).
cnf(19319,plain,
( epred1_3(X1,n2,overflow)
| releasedAt(X1,n3)
| terminates(overflow,X1,n2)
| ~ releasedAt(X1,n2) ),
inference(cn,[status(thm)],[19318,theory(equality)]) ).
cnf(19320,plain,
( releasedAt(X1,n3)
| terminates(overflow,X1,n2)
| holdsAt(X1,plus(n2,n1))
| releasedAt(X1,n3)
| ~ releasedAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19310,175,theory(equality)]),150,theory(equality)]) ).
cnf(19321,plain,
( releasedAt(X1,n3)
| terminates(overflow,X1,n2)
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| ~ releasedAt(X1,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19320,175,theory(equality)]),150,theory(equality)]) ).
cnf(19322,plain,
( releasedAt(X1,n3)
| terminates(overflow,X1,n2)
| holdsAt(X1,n3)
| ~ releasedAt(X1,n2) ),
inference(cn,[status(thm)],[19321,theory(equality)]) ).
cnf(19417,plain,
( filling = X1
| releasedAt(X1,n3)
| holdsAt(X1,n3)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[115,19322,theory(equality)]) ).
cnf(19444,plain,
( filling = X1
| releasedAt(X1,n3)
| holdsAt(X1,n3)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[19417,19295,theory(equality)]) ).
cnf(19447,plain,
( releasedAt(X1,n3)
| holdsAt(X1,n3)
| ~ releasedAt(X1,n1) ),
inference(csr,[status(thm)],[19444,4581]) ).
cnf(19448,negated_conjecture,
( holdsAt(filling,n3)
| ~ releasedAt(filling,n1) ),
inference(spm,[status(thm)],[2881,19447,theory(equality)]) ).
cnf(19463,negated_conjecture,
~ releasedAt(filling,n1),
inference(sr,[status(thm)],[19448,601,theory(equality)]) ).
cnf(19655,plain,
( filling = X1
| epred1_3(X1,n2,overflow)
| releasedAt(X1,n3)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[115,19319,theory(equality)]) ).
cnf(23219,plain,
( esk5_3(X1,X2,n3) = n2
| esk5_3(X1,X2,n3) = n1
| ~ stoppedIn(X1,X2,n3) ),
inference(csr,[status(thm)],[2015,18003]) ).
cnf(23221,plain,
( less(X1,n2)
| esk5_3(X1,X2,n3) = n1
| ~ stoppedIn(X1,X2,n3) ),
inference(spm,[status(thm)],[143,23219,theory(equality)]) ).
cnf(23975,plain,
( happens(overflow,n1)
| less(X1,n2)
| ~ stoppedIn(X1,X2,n3) ),
inference(spm,[status(thm)],[1763,23221,theory(equality)]) ).
cnf(24095,negated_conjecture,
( less(n0,n2)
| happens(overflow,n1)
| ~ less(n2,n3) ),
inference(spm,[status(thm)],[23975,7189,theory(equality)]) ).
cnf(24101,negated_conjecture,
( less(n0,n2)
| happens(overflow,n1)
| $false ),
inference(rw,[status(thm)],[24095,614,theory(equality)]) ).
cnf(24102,negated_conjecture,
( less(n0,n2)
| happens(overflow,n1) ),
inference(cn,[status(thm)],[24101,theory(equality)]) ).
cnf(24113,negated_conjecture,
( epred3_0
| less(n0,n2) ),
inference(spm,[status(thm)],[1083,24102,theory(equality)]) ).
cnf(24145,negated_conjecture,
less(n0,n2),
inference(sr,[status(thm)],[24113,1137,theory(equality)]) ).
cnf(59121,plain,
( esk3_2(X1,n1) = overflow
| releasedAt(X1,n2)
| holdsAt(X1,n1)
| ~ holdsAt(X1,n2) ),
inference(sr,[status(thm)],[3269,13371,theory(equality)]) ).
cnf(59122,plain,
( releasedAt(X1,n2)
| holdsAt(X1,n1)
| ~ holdsAt(X1,n2) ),
inference(csr,[status(thm)],[59121,12829]) ).
cnf(59129,plain,
( filling = X1
| epred1_3(X1,n2,overflow)
| releasedAt(X1,n3)
| holdsAt(X1,n1)
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[19655,59122,theory(equality)]) ).
cnf(60569,plain,
( esk3_2(X1,n0) = tapOn
| releasedAt(X1,n1)
| holdsAt(filling,n0)
| holdsAt(X1,n0)
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[3357,281,theory(equality)]) ).
cnf(60578,plain,
( esk3_2(X1,n0) = tapOn
| releasedAt(X1,n1)
| holdsAt(X1,n0)
| ~ holdsAt(X1,n1) ),
inference(sr,[status(thm)],[60569,184,theory(equality)]) ).
cnf(110595,plain,
( releasedAt(X1,plus(n0,n1))
| holdsAt(X1,n0)
| happens(tapOn,n0)
| releasedAt(X1,n1)
| ~ holdsAt(X1,plus(n0,n1))
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[135,60578,theory(equality)]) ).
cnf(110596,plain,
( releasedAt(X1,plus(n0,n1))
| initiates(tapOn,X1,n0)
| holdsAt(X1,n0)
| releasedAt(X1,n1)
| ~ holdsAt(X1,plus(n0,n1))
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[134,60578,theory(equality)]) ).
cnf(110600,plain,
( releasedAt(X1,n1)
| holdsAt(X1,n0)
| happens(tapOn,n0)
| releasedAt(X1,n1)
| ~ holdsAt(X1,plus(n0,n1))
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[110595,175,theory(equality)]),281,theory(equality)]) ).
cnf(110601,plain,
( releasedAt(X1,n1)
| holdsAt(X1,n0)
| happens(tapOn,n0)
| releasedAt(X1,n1)
| ~ holdsAt(X1,n1)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[110600,175,theory(equality)]),281,theory(equality)]) ).
cnf(110602,plain,
( releasedAt(X1,n1)
| holdsAt(X1,n0)
| happens(tapOn,n0)
| ~ holdsAt(X1,n1) ),
inference(cn,[status(thm)],[110601,theory(equality)]) ).
cnf(110603,plain,
( releasedAt(X1,n1)
| initiates(tapOn,X1,n0)
| holdsAt(X1,n0)
| releasedAt(X1,n1)
| ~ holdsAt(X1,plus(n0,n1))
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[110596,175,theory(equality)]),281,theory(equality)]) ).
cnf(110604,plain,
( releasedAt(X1,n1)
| initiates(tapOn,X1,n0)
| holdsAt(X1,n0)
| releasedAt(X1,n1)
| ~ holdsAt(X1,n1)
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[110603,175,theory(equality)]),281,theory(equality)]) ).
cnf(110605,plain,
( releasedAt(X1,n1)
| initiates(tapOn,X1,n0)
| holdsAt(X1,n0)
| ~ holdsAt(X1,n1) ),
inference(cn,[status(thm)],[110604,theory(equality)]) ).
cnf(110610,plain,
( holdsAt(X1,n0)
| happens(tapOn,n0)
| filling != X1
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[4581,110602,theory(equality)]) ).
cnf(110748,plain,
( holdsAt(X1,n0)
| happens(tapOn,n0)
| filling != X1 ),
inference(csr,[status(thm)],[110610,18252]) ).
cnf(110749,plain,
( holdsAt(filling,n0)
| happens(tapOn,n0) ),
inference(er,[status(thm)],[110748,theory(equality)]) ).
cnf(110750,plain,
happens(tapOn,n0),
inference(sr,[status(thm)],[110749,184,theory(equality)]) ).
cnf(164109,plain,
( epred1_3(X1,n2,overflow)
| releasedAt(X1,n3)
| holdsAt(X1,n1)
| ~ holdsAt(X1,n2) ),
inference(csr,[status(thm)],[59129,18252]) ).
cnf(164110,negated_conjecture,
( epred1_3(filling,n2,overflow)
| holdsAt(filling,n1)
| ~ holdsAt(filling,n2) ),
inference(spm,[status(thm)],[2881,164109,theory(equality)]) ).
cnf(164128,negated_conjecture,
( epred1_3(filling,n2,overflow)
| holdsAt(filling,n1)
| $false ),
inference(rw,[status(thm)],[164110,595,theory(equality)]) ).
cnf(164129,negated_conjecture,
( epred1_3(filling,n2,overflow)
| holdsAt(filling,n1) ),
inference(cn,[status(thm)],[164128,theory(equality)]) ).
cnf(164130,negated_conjecture,
( holdsAt(filling,plus(n2,n1))
| holdsAt(filling,n1)
| ~ happens(overflow,n2) ),
inference(spm,[status(thm)],[357,164129,theory(equality)]) ).
cnf(164179,negated_conjecture,
( holdsAt(filling,n3)
| holdsAt(filling,n1)
| ~ happens(overflow,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[164130,175,theory(equality)]),150,theory(equality)]) ).
cnf(164180,negated_conjecture,
( holdsAt(filling,n3)
| holdsAt(filling,n1)
| $false ),
inference(rw,[status(thm)],[164179,585,theory(equality)]) ).
cnf(164181,negated_conjecture,
( holdsAt(filling,n3)
| holdsAt(filling,n1) ),
inference(cn,[status(thm)],[164180,theory(equality)]) ).
cnf(164182,negated_conjecture,
holdsAt(filling,n1),
inference(sr,[status(thm)],[164181,601,theory(equality)]) ).
cnf(200911,plain,
( stoppedIn(n0,filling,n2)
| holdsAt(waterLevel(X1),n2)
| $false
| ~ initiates(X2,filling,n0)
| ~ happens(X2,n0)
| n2 != X1 ),
inference(rw,[status(thm)],[7875,24145,theory(equality)]) ).
cnf(200912,plain,
( stoppedIn(n0,filling,n2)
| holdsAt(waterLevel(X1),n2)
| ~ initiates(X2,filling,n0)
| ~ happens(X2,n0)
| n2 != X1 ),
inference(cn,[status(thm)],[200911,theory(equality)]) ).
cnf(200913,plain,
( holdsAt(waterLevel(X1),n2)
| ~ initiates(X2,filling,n0)
| ~ happens(X2,n0)
| n2 != X1 ),
inference(sr,[status(thm)],[200912,16213,theory(equality)]) ).
cnf(200918,plain,
( holdsAt(waterLevel(X1),n2)
| releasedAt(filling,n1)
| holdsAt(filling,n0)
| n2 != X1
| ~ happens(tapOn,n0)
| ~ holdsAt(filling,n1) ),
inference(spm,[status(thm)],[200913,110605,theory(equality)]) ).
cnf(200929,plain,
( holdsAt(waterLevel(X1),n2)
| releasedAt(filling,n1)
| holdsAt(filling,n0)
| n2 != X1
| $false
| ~ holdsAt(filling,n1) ),
inference(rw,[status(thm)],[200918,110750,theory(equality)]) ).
cnf(200930,plain,
( holdsAt(waterLevel(X1),n2)
| releasedAt(filling,n1)
| holdsAt(filling,n0)
| n2 != X1
| $false
| $false ),
inference(rw,[status(thm)],[200929,164182,theory(equality)]) ).
cnf(200931,plain,
( holdsAt(waterLevel(X1),n2)
| releasedAt(filling,n1)
| holdsAt(filling,n0)
| n2 != X1 ),
inference(cn,[status(thm)],[200930,theory(equality)]) ).
cnf(200932,plain,
( holdsAt(waterLevel(X1),n2)
| holdsAt(filling,n0)
| n2 != X1 ),
inference(sr,[status(thm)],[200931,19463,theory(equality)]) ).
cnf(200933,plain,
( holdsAt(waterLevel(X1),n2)
| n2 != X1 ),
inference(sr,[status(thm)],[200932,184,theory(equality)]) ).
cnf(200944,plain,
( X1 = n3
| n2 != X1 ),
inference(spm,[status(thm)],[605,200933,theory(equality)]) ).
cnf(201276,plain,
n2 = n3,
inference(er,[status(thm)],[200944,theory(equality)]) ).
cnf(201297,plain,
less(n3,n3),
inference(rw,[status(thm)],[614,201276,theory(equality)]) ).
cnf(201298,plain,
$false,
inference(sr,[status(thm)],[201297,271,theory(equality)]) ).
cnf(201299,plain,
$false,
201298,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR013+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/tmp3aCu-h/sel_CSR013+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmp3aCu-h/sel_CSR013+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/tmp3aCu-h/sel_CSR013+1.p_3 with time limit 74
% -prover status ResourceOut
% --creating new selector for [CSR001+0.ax, CSR001+1.ax]
% -running prover on /tmp/tmp3aCu-h/sel_CSR013+1.p_4 with time limit 56
% -prover status Theorem
% Problem CSR013+1.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR013+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR013+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
%
%------------------------------------------------------------------------------