TSTP Solution File: CSR009+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR009+1 : TPTP v5.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 05:55:02 EST 2010
% Result : Theorem 248.07s
% Output : CNFRefutation 248.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 28
% Syntax : Number of formulae : 208 ( 48 unt; 0 def)
% Number of atoms : 982 ( 385 equ)
% Maximal formula atoms : 194 ( 4 avg)
% Number of connectives : 1164 ( 390 ~; 555 |; 197 &)
% ( 12 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 50 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 418 ( 26 sgn 220 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
tapOff != overflow,
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',tapOff_not_overflow) ).
fof(2,axiom,
! [X1,X2,X3] :
( ( happens(X1,X2)
& releases(X1,X3,X2) )
=> releasedAt(X3,plus(X2,n1)) ),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',happens_releases) ).
fof(3,axiom,
! [X4] : filling != waterLevel(X4),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',filling_not_waterLevel) ).
fof(5,axiom,
! [X1,X2,X3,X5,X6] :
( ( happens(X1,X2)
& initiates(X1,X3,X2)
& less(n0,X6)
& trajectory(X3,X2,X5,X6)
& ~ stoppedIn(X2,X3,plus(X2,X6)) )
=> holdsAt(X5,plus(X2,X6)) ),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',change_holding) ).
fof(6,axiom,
! [X3,X2] :
( ( ~ releasedAt(X3,X2)
& ~ ? [X1] :
( happens(X1,X2)
& releases(X1,X3,X2) ) )
=> ~ releasedAt(X3,plus(X2,n1)) ),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',keep_not_released) ).
fof(7,axiom,
! [X1,X2,X3] :
( ( happens(X1,X2)
& initiates(X1,X3,X2) )
=> holdsAt(X3,plus(X2,n1)) ),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',happens_holds) ).
fof(8,axiom,
! [X1,X2] :
( happens(X1,X2)
<=> ( ( X1 = tapOn
& X2 = n0 )
| ( holdsAt(waterLevel(n3),X2)
& holdsAt(filling,X2)
& X1 = overflow ) ) ),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',happens_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/tmpJi7dQd/sel_CSR009+1.p_5',keep_holding) ).
fof(18,axiom,
! [X1,X3,X2] :
( releases(X1,X3,X2)
<=> ? [X10] :
( X1 = tapOn
& X3 = waterLevel(X10) ) ),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',releases_all_defn) ).
fof(20,axiom,
! [X7,X3,X8] :
( stoppedIn(X7,X3,X8)
<=> ? [X1,X2] :
( happens(X1,X2)
& less(X7,X2)
& less(X2,X8)
& terminates(X1,X3,X2) ) ),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',stoppedin_defn) ).
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/tmpJi7dQd/sel_CSR009+1.p_5',initiates_all_defn) ).
fof(23,axiom,
! [X12,X2,X13,X6] :
( ( holdsAt(waterLevel(X12),X2)
& X13 = plus(X12,X6) )
=> trajectory(filling,X2,waterLevel(X13),X6) ),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',change_of_waterLevel) ).
fof(24,axiom,
tapOff != tapOn,
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',tapOff_not_tapOn) ).
fof(25,axiom,
! [X2,X12,X13] :
( ( holdsAt(waterLevel(X12),X2)
& holdsAt(waterLevel(X13),X2) )
=> X12 = X13 ),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',same_waterLevel) ).
fof(28,axiom,
plus(n1,n1) = n2,
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',plus1_1) ).
fof(32,axiom,
plus(n0,n1) = n1,
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',plus0_1) ).
fof(33,axiom,
holdsAt(waterLevel(n0),n0),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',waterLevel_0) ).
fof(39,axiom,
! [X4,X9] :
( less(X4,X9)
<=> ( ~ less(X9,X4)
& X9 != X4 ) ),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',less_property) ).
fof(40,axiom,
~ releasedAt(filling,n0),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',not_released_filling_0) ).
fof(41,axiom,
! [X4,X9] : plus(X4,X9) = plus(X9,X4),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',symmetry_of_plus) ).
fof(42,axiom,
! [X10] : ~ releasedAt(waterLevel(X10),n0),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',not_released_waterLevel_0) ).
fof(43,conjecture,
holdsAt(filling,n2),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',filling_2) ).
fof(44,axiom,
! [X4,X9] :
( less_or_equal(X4,X9)
<=> ( less(X4,X9)
| X4 = X9 ) ),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',less_or_equal) ).
fof(52,axiom,
~ ? [X4] : less(X4,n0),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',less0) ).
fof(53,axiom,
! [X4] :
( less(X4,n1)
<=> less_or_equal(X4,n0) ),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',less1) ).
fof(54,axiom,
! [X4] :
( less(X4,n2)
<=> less_or_equal(X4,n1) ),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',less2) ).
fof(55,axiom,
! [X4] :
( less(X4,n3)
<=> less_or_equal(X4,n2) ),
file('/tmp/tmpJi7dQd/sel_CSR009+1.p_5',less3) ).
fof(56,negated_conjecture,
~ holdsAt(filling,n2),
inference(assume_negation,[status(cth)],[43]) ).
fof(57,plain,
! [X1,X2,X3,X5,X6] :
( ( happens(X1,X2)
& initiates(X1,X3,X2)
& less(n0,X6)
& trajectory(X3,X2,X5,X6)
& ~ stoppedIn(X2,X3,plus(X2,X6)) )
=> holdsAt(X5,plus(X2,X6)) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(58,plain,
! [X3,X2] :
( ( ~ releasedAt(X3,X2)
& ~ ? [X1] :
( happens(X1,X2)
& releases(X1,X3,X2) ) )
=> ~ releasedAt(X3,plus(X2,n1)) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(60,plain,
! [X3,X2] :
( ( holdsAt(X3,X2)
& ~ releasedAt(X3,plus(X2,n1))
& ~ ? [X1] :
( happens(X1,X2)
& terminates(X1,X3,X2) ) )
=> holdsAt(X3,plus(X2,n1)) ),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(66,plain,
! [X4,X9] :
( less(X4,X9)
<=> ( ~ less(X9,X4)
& X9 != X4 ) ),
inference(fof_simplification,[status(thm)],[39,theory(equality)]) ).
fof(67,plain,
~ releasedAt(filling,n0),
inference(fof_simplification,[status(thm)],[40,theory(equality)]) ).
fof(68,plain,
! [X10] : ~ releasedAt(waterLevel(X10),n0),
inference(fof_simplification,[status(thm)],[42,theory(equality)]) ).
fof(69,negated_conjecture,
~ holdsAt(filling,n2),
inference(fof_simplification,[status(thm)],[56,theory(equality)]) ).
fof(71,plain,
! [X1,X2,X3] :
( epred1_3(X3,X2,X1)
<=> ( ( X1 = tapOn
& X3 = filling )
| ( X1 = overflow
& X3 = spilling )
| ? [X10] :
( holdsAt(waterLevel(X10),X2)
& X1 = tapOff
& X3 = waterLevel(X10) )
| ? [X10] :
( holdsAt(waterLevel(X10),X2)
& X1 = overflow
& X3 = waterLevel(X10) ) ) ),
introduced(definition) ).
fof(72,plain,
! [X1,X3,X2] :
( initiates(X1,X3,X2)
<=> epred1_3(X3,X2,X1) ),
inference(apply_def,[status(esa)],[22,71,theory(equality)]) ).
cnf(73,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[1]) ).
fof(74,plain,
! [X1,X2,X3] :
( ~ happens(X1,X2)
| ~ releases(X1,X3,X2)
| releasedAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(75,plain,
! [X4,X5,X6] :
( ~ happens(X4,X5)
| ~ releases(X4,X6,X5)
| releasedAt(X6,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[74]) ).
cnf(76,plain,
( releasedAt(X1,plus(X2,n1))
| ~ releases(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[75]) ).
fof(77,plain,
! [X5] : filling != waterLevel(X5),
inference(variable_rename,[status(thm)],[3]) ).
cnf(78,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[77]) ).
fof(81,plain,
! [X1,X2,X3,X5,X6] :
( ~ happens(X1,X2)
| ~ initiates(X1,X3,X2)
| ~ less(n0,X6)
| ~ trajectory(X3,X2,X5,X6)
| stoppedIn(X2,X3,plus(X2,X6))
| holdsAt(X5,plus(X2,X6)) ),
inference(fof_nnf,[status(thm)],[57]) ).
fof(82,plain,
! [X7,X8,X9,X10,X11] :
( ~ happens(X7,X8)
| ~ initiates(X7,X9,X8)
| ~ less(n0,X11)
| ~ trajectory(X9,X8,X10,X11)
| stoppedIn(X8,X9,plus(X8,X11))
| holdsAt(X10,plus(X8,X11)) ),
inference(variable_rename,[status(thm)],[81]) ).
cnf(83,plain,
( holdsAt(X1,plus(X2,X3))
| stoppedIn(X2,X4,plus(X2,X3))
| ~ trajectory(X4,X2,X1,X3)
| ~ less(n0,X3)
| ~ initiates(X5,X4,X2)
| ~ happens(X5,X2) ),
inference(split_conjunct,[status(thm)],[82]) ).
fof(84,plain,
! [X3,X2] :
( releasedAt(X3,X2)
| ? [X1] :
( happens(X1,X2)
& releases(X1,X3,X2) )
| ~ releasedAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[58]) ).
fof(85,plain,
! [X4,X5] :
( releasedAt(X4,X5)
| ? [X6] :
( happens(X6,X5)
& releases(X6,X4,X5) )
| ~ releasedAt(X4,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[84]) ).
fof(86,plain,
! [X4,X5] :
( releasedAt(X4,X5)
| ( happens(esk1_2(X4,X5),X5)
& releases(esk1_2(X4,X5),X4,X5) )
| ~ releasedAt(X4,plus(X5,n1)) ),
inference(skolemize,[status(esa)],[85]) ).
fof(87,plain,
! [X4,X5] :
( ( happens(esk1_2(X4,X5),X5)
| releasedAt(X4,X5)
| ~ releasedAt(X4,plus(X5,n1)) )
& ( releases(esk1_2(X4,X5),X4,X5)
| releasedAt(X4,X5)
| ~ releasedAt(X4,plus(X5,n1)) ) ),
inference(distribute,[status(thm)],[86]) ).
cnf(88,plain,
( releasedAt(X1,X2)
| releases(esk1_2(X1,X2),X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(89,plain,
( releasedAt(X1,X2)
| happens(esk1_2(X1,X2),X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[87]) ).
fof(90,plain,
! [X1,X2,X3] :
( ~ happens(X1,X2)
| ~ initiates(X1,X3,X2)
| holdsAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(91,plain,
! [X4,X5,X6] :
( ~ happens(X4,X5)
| ~ initiates(X4,X6,X5)
| holdsAt(X6,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[90]) ).
cnf(92,plain,
( holdsAt(X1,plus(X2,n1))
| ~ initiates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[91]) ).
fof(93,plain,
! [X1,X2] :
( ( ~ happens(X1,X2)
| ( X1 = tapOn
& X2 = n0 )
| ( holdsAt(waterLevel(n3),X2)
& holdsAt(filling,X2)
& X1 = overflow ) )
& ( ( ( X1 != tapOn
| X2 != n0 )
& ( ~ holdsAt(waterLevel(n3),X2)
| ~ holdsAt(filling,X2)
| X1 != overflow ) )
| happens(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(94,plain,
! [X3,X4] :
( ( ~ happens(X3,X4)
| ( X3 = tapOn
& X4 = n0 )
| ( holdsAt(waterLevel(n3),X4)
& holdsAt(filling,X4)
& X3 = overflow ) )
& ( ( ( X3 != tapOn
| X4 != n0 )
& ( ~ holdsAt(waterLevel(n3),X4)
| ~ holdsAt(filling,X4)
| X3 != overflow ) )
| happens(X3,X4) ) ),
inference(variable_rename,[status(thm)],[93]) ).
fof(95,plain,
! [X3,X4] :
( ( holdsAt(waterLevel(n3),X4)
| X3 = tapOn
| ~ happens(X3,X4) )
& ( holdsAt(filling,X4)
| X3 = tapOn
| ~ happens(X3,X4) )
& ( X3 = overflow
| X3 = tapOn
| ~ happens(X3,X4) )
& ( holdsAt(waterLevel(n3),X4)
| X4 = n0
| ~ happens(X3,X4) )
& ( holdsAt(filling,X4)
| X4 = n0
| ~ happens(X3,X4) )
& ( X3 = overflow
| X4 = n0
| ~ happens(X3,X4) )
& ( X3 != tapOn
| X4 != n0
| happens(X3,X4) )
& ( ~ holdsAt(waterLevel(n3),X4)
| ~ holdsAt(filling,X4)
| X3 != overflow
| happens(X3,X4) ) ),
inference(distribute,[status(thm)],[94]) ).
cnf(97,plain,
( happens(X1,X2)
| X2 != n0
| X1 != tapOn ),
inference(split_conjunct,[status(thm)],[95]) ).
cnf(99,plain,
( X2 = n0
| holdsAt(filling,X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[95]) ).
cnf(100,plain,
( X2 = n0
| holdsAt(waterLevel(n3),X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[95]) ).
fof(133,plain,
! [X3,X2] :
( ~ holdsAt(X3,X2)
| releasedAt(X3,plus(X2,n1))
| ? [X1] :
( happens(X1,X2)
& terminates(X1,X3,X2) )
| holdsAt(X3,plus(X2,n1)) ),
inference(fof_nnf,[status(thm)],[60]) ).
fof(134,plain,
! [X4,X5] :
( ~ holdsAt(X4,X5)
| releasedAt(X4,plus(X5,n1))
| ? [X6] :
( happens(X6,X5)
& terminates(X6,X4,X5) )
| holdsAt(X4,plus(X5,n1)) ),
inference(variable_rename,[status(thm)],[133]) ).
fof(135,plain,
! [X4,X5] :
( ~ holdsAt(X4,X5)
| releasedAt(X4,plus(X5,n1))
| ( happens(esk5_2(X4,X5),X5)
& terminates(esk5_2(X4,X5),X4,X5) )
| holdsAt(X4,plus(X5,n1)) ),
inference(skolemize,[status(esa)],[134]) ).
fof(136,plain,
! [X4,X5] :
( ( happens(esk5_2(X4,X5),X5)
| ~ holdsAt(X4,X5)
| releasedAt(X4,plus(X5,n1))
| holdsAt(X4,plus(X5,n1)) )
& ( terminates(esk5_2(X4,X5),X4,X5)
| ~ holdsAt(X4,X5)
| releasedAt(X4,plus(X5,n1))
| holdsAt(X4,plus(X5,n1)) ) ),
inference(distribute,[status(thm)],[135]) ).
cnf(138,plain,
( holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| happens(esk5_2(X1,X2),X2)
| ~ holdsAt(X1,X2) ),
inference(split_conjunct,[status(thm)],[136]) ).
fof(152,plain,
! [X1,X3,X2] :
( ( ~ releases(X1,X3,X2)
| ? [X10] :
( X1 = tapOn
& X3 = waterLevel(X10) ) )
& ( ! [X10] :
( X1 != tapOn
| X3 != waterLevel(X10) )
| releases(X1,X3,X2) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(153,plain,
! [X11,X12,X13] :
( ( ~ releases(X11,X12,X13)
| ? [X14] :
( X11 = tapOn
& X12 = waterLevel(X14) ) )
& ( ! [X15] :
( X11 != tapOn
| X12 != waterLevel(X15) )
| releases(X11,X12,X13) ) ),
inference(variable_rename,[status(thm)],[152]) ).
fof(154,plain,
! [X11,X12,X13] :
( ( ~ releases(X11,X12,X13)
| ( X11 = tapOn
& X12 = waterLevel(esk7_3(X11,X12,X13)) ) )
& ( ! [X15] :
( X11 != tapOn
| X12 != waterLevel(X15) )
| releases(X11,X12,X13) ) ),
inference(skolemize,[status(esa)],[153]) ).
fof(155,plain,
! [X11,X12,X13,X15] :
( ( X11 != tapOn
| X12 != waterLevel(X15)
| releases(X11,X12,X13) )
& ( ~ releases(X11,X12,X13)
| ( X11 = tapOn
& X12 = waterLevel(esk7_3(X11,X12,X13)) ) ) ),
inference(shift_quantors,[status(thm)],[154]) ).
fof(156,plain,
! [X11,X12,X13,X15] :
( ( X11 != tapOn
| X12 != waterLevel(X15)
| releases(X11,X12,X13) )
& ( X11 = tapOn
| ~ releases(X11,X12,X13) )
& ( X12 = waterLevel(esk7_3(X11,X12,X13))
| ~ releases(X11,X12,X13) ) ),
inference(distribute,[status(thm)],[155]) ).
cnf(157,plain,
( X2 = waterLevel(esk7_3(X1,X2,X3))
| ~ releases(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[156]) ).
cnf(158,plain,
( X1 = tapOn
| ~ releases(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[156]) ).
cnf(159,plain,
( releases(X1,X2,X3)
| X2 != waterLevel(X4)
| X1 != tapOn ),
inference(split_conjunct,[status(thm)],[156]) ).
fof(163,plain,
! [X7,X3,X8] :
( ( ~ stoppedIn(X7,X3,X8)
| ? [X1,X2] :
( happens(X1,X2)
& less(X7,X2)
& less(X2,X8)
& terminates(X1,X3,X2) ) )
& ( ! [X1,X2] :
( ~ happens(X1,X2)
| ~ less(X7,X2)
| ~ less(X2,X8)
| ~ terminates(X1,X3,X2) )
| stoppedIn(X7,X3,X8) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(164,plain,
! [X9,X10,X11] :
( ( ~ stoppedIn(X9,X10,X11)
| ? [X12,X13] :
( happens(X12,X13)
& less(X9,X13)
& less(X13,X11)
& terminates(X12,X10,X13) ) )
& ( ! [X14,X15] :
( ~ happens(X14,X15)
| ~ less(X9,X15)
| ~ less(X15,X11)
| ~ terminates(X14,X10,X15) )
| stoppedIn(X9,X10,X11) ) ),
inference(variable_rename,[status(thm)],[163]) ).
fof(165,plain,
! [X9,X10,X11] :
( ( ~ stoppedIn(X9,X10,X11)
| ( happens(esk8_3(X9,X10,X11),esk9_3(X9,X10,X11))
& less(X9,esk9_3(X9,X10,X11))
& less(esk9_3(X9,X10,X11),X11)
& terminates(esk8_3(X9,X10,X11),X10,esk9_3(X9,X10,X11)) ) )
& ( ! [X14,X15] :
( ~ happens(X14,X15)
| ~ less(X9,X15)
| ~ less(X15,X11)
| ~ terminates(X14,X10,X15) )
| stoppedIn(X9,X10,X11) ) ),
inference(skolemize,[status(esa)],[164]) ).
fof(166,plain,
! [X9,X10,X11,X14,X15] :
( ( ~ happens(X14,X15)
| ~ less(X9,X15)
| ~ less(X15,X11)
| ~ terminates(X14,X10,X15)
| stoppedIn(X9,X10,X11) )
& ( ~ stoppedIn(X9,X10,X11)
| ( happens(esk8_3(X9,X10,X11),esk9_3(X9,X10,X11))
& less(X9,esk9_3(X9,X10,X11))
& less(esk9_3(X9,X10,X11),X11)
& terminates(esk8_3(X9,X10,X11),X10,esk9_3(X9,X10,X11)) ) ) ),
inference(shift_quantors,[status(thm)],[165]) ).
fof(167,plain,
! [X9,X10,X11,X14,X15] :
( ( ~ happens(X14,X15)
| ~ less(X9,X15)
| ~ less(X15,X11)
| ~ terminates(X14,X10,X15)
| stoppedIn(X9,X10,X11) )
& ( happens(esk8_3(X9,X10,X11),esk9_3(X9,X10,X11))
| ~ stoppedIn(X9,X10,X11) )
& ( less(X9,esk9_3(X9,X10,X11))
| ~ stoppedIn(X9,X10,X11) )
& ( less(esk9_3(X9,X10,X11),X11)
| ~ stoppedIn(X9,X10,X11) )
& ( terminates(esk8_3(X9,X10,X11),X10,esk9_3(X9,X10,X11))
| ~ stoppedIn(X9,X10,X11) ) ),
inference(distribute,[status(thm)],[166]) ).
cnf(169,plain,
( less(esk9_3(X1,X2,X3),X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[167]) ).
cnf(170,plain,
( less(X1,esk9_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[167]) ).
fof(176,plain,
! [X1,X3,X2] :
( ( ~ initiates(X1,X3,X2)
| epred1_3(X3,X2,X1) )
& ( ~ epred1_3(X3,X2,X1)
| initiates(X1,X3,X2) ) ),
inference(fof_nnf,[status(thm)],[72]) ).
fof(177,plain,
! [X4,X5,X6] :
( ( ~ initiates(X4,X5,X6)
| epred1_3(X5,X6,X4) )
& ( ~ epred1_3(X5,X6,X4)
| initiates(X4,X5,X6) ) ),
inference(variable_rename,[status(thm)],[176]) ).
cnf(178,plain,
( initiates(X1,X2,X3)
| ~ epred1_3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[177]) ).
fof(180,plain,
! [X12,X2,X13,X6] :
( ~ holdsAt(waterLevel(X12),X2)
| X13 != plus(X12,X6)
| trajectory(filling,X2,waterLevel(X13),X6) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(181,plain,
! [X14,X15,X16,X17] :
( ~ holdsAt(waterLevel(X14),X15)
| X16 != plus(X14,X17)
| trajectory(filling,X15,waterLevel(X16),X17) ),
inference(variable_rename,[status(thm)],[180]) ).
cnf(182,plain,
( trajectory(filling,X1,waterLevel(X2),X3)
| X2 != plus(X4,X3)
| ~ holdsAt(waterLevel(X4),X1) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(183,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[24]) ).
fof(184,plain,
! [X2,X12,X13] :
( ~ holdsAt(waterLevel(X12),X2)
| ~ holdsAt(waterLevel(X13),X2)
| X12 = X13 ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(185,plain,
! [X14,X15,X16] :
( ~ holdsAt(waterLevel(X15),X14)
| ~ holdsAt(waterLevel(X16),X14)
| X15 = X16 ),
inference(variable_rename,[status(thm)],[184]) ).
cnf(186,plain,
( X1 = X2
| ~ holdsAt(waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X1),X3) ),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(189,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[28]) ).
cnf(193,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[32]) ).
cnf(194,plain,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[33]) ).
fof(200,plain,
! [X4,X9] :
( ( ~ less(X4,X9)
| ( ~ less(X9,X4)
& X9 != X4 ) )
& ( less(X9,X4)
| X9 = X4
| less(X4,X9) ) ),
inference(fof_nnf,[status(thm)],[66]) ).
fof(201,plain,
! [X10,X11] :
( ( ~ less(X10,X11)
| ( ~ less(X11,X10)
& X11 != X10 ) )
& ( less(X11,X10)
| X11 = X10
| less(X10,X11) ) ),
inference(variable_rename,[status(thm)],[200]) ).
fof(202,plain,
! [X10,X11] :
( ( ~ less(X11,X10)
| ~ less(X10,X11) )
& ( X11 != X10
| ~ less(X10,X11) )
& ( less(X11,X10)
| X11 = X10
| less(X10,X11) ) ),
inference(distribute,[status(thm)],[201]) ).
cnf(204,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[202]) ).
cnf(205,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[202]) ).
cnf(206,plain,
~ releasedAt(filling,n0),
inference(split_conjunct,[status(thm)],[67]) ).
fof(207,plain,
! [X10,X11] : plus(X10,X11) = plus(X11,X10),
inference(variable_rename,[status(thm)],[41]) ).
cnf(208,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[207]) ).
fof(209,plain,
! [X11] : ~ releasedAt(waterLevel(X11),n0),
inference(variable_rename,[status(thm)],[68]) ).
cnf(210,plain,
~ releasedAt(waterLevel(X1),n0),
inference(split_conjunct,[status(thm)],[209]) ).
cnf(211,negated_conjecture,
~ holdsAt(filling,n2),
inference(split_conjunct,[status(thm)],[69]) ).
fof(212,plain,
! [X4,X9] :
( ( ~ less_or_equal(X4,X9)
| less(X4,X9)
| X4 = X9 )
& ( ( ~ less(X4,X9)
& X4 != X9 )
| less_or_equal(X4,X9) ) ),
inference(fof_nnf,[status(thm)],[44]) ).
fof(213,plain,
! [X10,X11] :
( ( ~ less_or_equal(X10,X11)
| less(X10,X11)
| X10 = X11 )
& ( ( ~ less(X10,X11)
& X10 != X11 )
| less_or_equal(X10,X11) ) ),
inference(variable_rename,[status(thm)],[212]) ).
fof(214,plain,
! [X10,X11] :
( ( ~ less_or_equal(X10,X11)
| less(X10,X11)
| X10 = X11 )
& ( ~ less(X10,X11)
| less_or_equal(X10,X11) )
& ( X10 != X11
| less_or_equal(X10,X11) ) ),
inference(distribute,[status(thm)],[213]) ).
cnf(215,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[214]) ).
cnf(217,plain,
( X1 = X2
| less(X1,X2)
| ~ less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[214]) ).
fof(243,plain,
! [X4] : ~ less(X4,n0),
inference(fof_nnf,[status(thm)],[52]) ).
fof(244,plain,
! [X5] : ~ less(X5,n0),
inference(variable_rename,[status(thm)],[243]) ).
cnf(245,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[244]) ).
fof(246,plain,
! [X4] :
( ( ~ less(X4,n1)
| less_or_equal(X4,n0) )
& ( ~ less_or_equal(X4,n0)
| less(X4,n1) ) ),
inference(fof_nnf,[status(thm)],[53]) ).
fof(247,plain,
! [X5] :
( ( ~ less(X5,n1)
| less_or_equal(X5,n0) )
& ( ~ less_or_equal(X5,n0)
| less(X5,n1) ) ),
inference(variable_rename,[status(thm)],[246]) ).
cnf(248,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[247]) ).
cnf(249,plain,
( less_or_equal(X1,n0)
| ~ less(X1,n1) ),
inference(split_conjunct,[status(thm)],[247]) ).
fof(250,plain,
! [X4] :
( ( ~ less(X4,n2)
| less_or_equal(X4,n1) )
& ( ~ less_or_equal(X4,n1)
| less(X4,n2) ) ),
inference(fof_nnf,[status(thm)],[54]) ).
fof(251,plain,
! [X5] :
( ( ~ less(X5,n2)
| less_or_equal(X5,n1) )
& ( ~ less_or_equal(X5,n1)
| less(X5,n2) ) ),
inference(variable_rename,[status(thm)],[250]) ).
cnf(252,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[251]) ).
fof(254,plain,
! [X4] :
( ( ~ less(X4,n3)
| less_or_equal(X4,n2) )
& ( ~ less_or_equal(X4,n2)
| less(X4,n3) ) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(255,plain,
! [X5] :
( ( ~ less(X5,n3)
| less_or_equal(X5,n2) )
& ( ~ less_or_equal(X5,n2)
| less(X5,n3) ) ),
inference(variable_rename,[status(thm)],[254]) ).
cnf(256,plain,
( less(X1,n3)
| ~ less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[255]) ).
fof(258,plain,
! [X1,X2,X3] :
( ( ~ epred1_3(X3,X2,X1)
| ( X1 = tapOn
& X3 = filling )
| ( X1 = overflow
& X3 = spilling )
| ? [X10] :
( holdsAt(waterLevel(X10),X2)
& X1 = tapOff
& X3 = waterLevel(X10) )
| ? [X10] :
( holdsAt(waterLevel(X10),X2)
& X1 = overflow
& X3 = waterLevel(X10) ) )
& ( ( ( X1 != tapOn
| X3 != filling )
& ( X1 != overflow
| X3 != spilling )
& ! [X10] :
( ~ holdsAt(waterLevel(X10),X2)
| X1 != tapOff
| X3 != waterLevel(X10) )
& ! [X10] :
( ~ holdsAt(waterLevel(X10),X2)
| X1 != overflow
| X3 != waterLevel(X10) ) )
| epred1_3(X3,X2,X1) ) ),
inference(fof_nnf,[status(thm)],[71]) ).
fof(259,plain,
! [X11,X12,X13] :
( ( ~ epred1_3(X13,X12,X11)
| ( X11 = tapOn
& X13 = filling )
| ( X11 = overflow
& X13 = spilling )
| ? [X14] :
( holdsAt(waterLevel(X14),X12)
& X11 = tapOff
& X13 = waterLevel(X14) )
| ? [X15] :
( holdsAt(waterLevel(X15),X12)
& X11 = overflow
& X13 = waterLevel(X15) ) )
& ( ( ( X11 != tapOn
| X13 != filling )
& ( X11 != overflow
| X13 != spilling )
& ! [X16] :
( ~ holdsAt(waterLevel(X16),X12)
| X11 != tapOff
| X13 != waterLevel(X16) )
& ! [X17] :
( ~ holdsAt(waterLevel(X17),X12)
| X11 != overflow
| X13 != waterLevel(X17) ) )
| epred1_3(X13,X12,X11) ) ),
inference(variable_rename,[status(thm)],[258]) ).
fof(260,plain,
! [X11,X12,X13] :
( ( ~ epred1_3(X13,X12,X11)
| ( X11 = tapOn
& X13 = filling )
| ( X11 = overflow
& X13 = spilling )
| ( holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
& X11 = tapOff
& X13 = waterLevel(esk10_3(X11,X12,X13)) )
| ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
& X11 = overflow
& X13 = waterLevel(esk11_3(X11,X12,X13)) ) )
& ( ( ( X11 != tapOn
| X13 != filling )
& ( X11 != overflow
| X13 != spilling )
& ! [X16] :
( ~ holdsAt(waterLevel(X16),X12)
| X11 != tapOff
| X13 != waterLevel(X16) )
& ! [X17] :
( ~ holdsAt(waterLevel(X17),X12)
| X11 != overflow
| X13 != waterLevel(X17) ) )
| epred1_3(X13,X12,X11) ) ),
inference(skolemize,[status(esa)],[259]) ).
fof(261,plain,
! [X11,X12,X13,X16,X17] :
( ( ( ( ~ holdsAt(waterLevel(X17),X12)
| X11 != overflow
| X13 != waterLevel(X17) )
& ( ~ holdsAt(waterLevel(X16),X12)
| X11 != tapOff
| X13 != waterLevel(X16) )
& ( X11 != tapOn
| X13 != filling )
& ( X11 != overflow
| X13 != spilling ) )
| epred1_3(X13,X12,X11) )
& ( ~ epred1_3(X13,X12,X11)
| ( X11 = tapOn
& X13 = filling )
| ( X11 = overflow
& X13 = spilling )
| ( holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
& X11 = tapOff
& X13 = waterLevel(esk10_3(X11,X12,X13)) )
| ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
& X11 = overflow
& X13 = waterLevel(esk11_3(X11,X12,X13)) ) ) ),
inference(shift_quantors,[status(thm)],[260]) ).
fof(262,plain,
! [X11,X12,X13,X16,X17] :
( ( ~ holdsAt(waterLevel(X17),X12)
| X11 != overflow
| X13 != waterLevel(X17)
| epred1_3(X13,X12,X11) )
& ( ~ holdsAt(waterLevel(X16),X12)
| X11 != tapOff
| X13 != waterLevel(X16)
| epred1_3(X13,X12,X11) )
& ( X11 != tapOn
| X13 != filling
| epred1_3(X13,X12,X11) )
& ( X11 != overflow
| X13 != spilling
| epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| X11 = tapOff
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| X11 = tapOff
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| X11 = tapOff
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| X11 = tapOff
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| X11 = tapOff
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| X11 = tapOff
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X13 = spilling
| X11 = tapOn
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| X11 = tapOff
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| X11 = tapOff
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| X11 = tapOff
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X11 = overflow
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| holdsAt(waterLevel(esk10_3(X11,X12,X13)),X12)
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| X11 = tapOff
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| X11 = tapOff
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| X11 = tapOff
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( holdsAt(waterLevel(esk11_3(X11,X12,X13)),X12)
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X11 = overflow
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) )
& ( X13 = waterLevel(esk11_3(X11,X12,X13))
| X13 = waterLevel(esk10_3(X11,X12,X13))
| X13 = spilling
| X13 = filling
| ~ epred1_3(X13,X12,X11) ) ),
inference(distribute,[status(thm)],[261]) ).
cnf(273,plain,
( X1 = filling
| X3 = overflow
| X1 = waterLevel(esk10_3(X3,X2,X1))
| X3 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(291,plain,
( X3 = tapOn
| X3 = overflow
| X1 = waterLevel(esk10_3(X3,X2,X1))
| X3 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(297,plain,
( X3 = tapOn
| X3 = overflow
| holdsAt(waterLevel(esk10_3(X3,X2,X1)),X2)
| X3 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(300,plain,
( epred1_3(X1,X2,X3)
| X1 != filling
| X3 != tapOn ),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(301,plain,
( epred1_3(X1,X2,X3)
| X1 != waterLevel(X4)
| X3 != tapOff
| ~ holdsAt(waterLevel(X4),X2) ),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(303,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[215,theory(equality)]) ).
cnf(305,plain,
~ less(X1,X1),
inference(er,[status(thm)],[204,theory(equality)]) ).
cnf(317,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[193,208,theory(equality)]) ).
cnf(357,plain,
( X1 = n0
| less(X1,n0)
| ~ less(X1,n1) ),
inference(spm,[status(thm)],[217,249,theory(equality)]) ).
cnf(364,plain,
( X1 = n0
| ~ less(X1,n1) ),
inference(sr,[status(thm)],[357,245,theory(equality)]) ).
cnf(366,plain,
( releases(X1,waterLevel(X2),X3)
| tapOn != X1 ),
inference(er,[status(thm)],[159,theory(equality)]) ).
cnf(368,plain,
( X2 != filling
| ~ releases(X1,X2,X3) ),
inference(spm,[status(thm)],[78,157,theory(equality)]) ).
cnf(404,plain,
( holdsAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| ~ epred1_3(X1,X2,X3) ),
inference(spm,[status(thm)],[92,178,theory(equality)]) ).
cnf(405,plain,
( epred1_3(X1,n0,X2)
| waterLevel(n0) != X1
| tapOff != X2 ),
inference(spm,[status(thm)],[301,194,theory(equality)]) ).
cnf(427,plain,
( tapOn = X1
| overflow = X1
| X3 != filling
| ~ epred1_3(X3,X2,X1) ),
inference(spm,[status(thm)],[78,291,theory(equality)]) ).
cnf(469,plain,
( tapOn = esk1_2(X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[158,88,theory(equality)]) ).
cnf(472,plain,
( tapOn = X1
| overflow = X1
| holdsAt(X3,X2)
| filling = X3
| ~ epred1_3(X3,X2,X1) ),
inference(spm,[status(thm)],[297,273,theory(equality)]) ).
cnf(482,plain,
( n0 = X1
| holdsAt(filling,X1)
| holdsAt(X2,plus(X1,n1))
| releasedAt(X2,plus(X1,n1))
| ~ holdsAt(X2,X1) ),
inference(spm,[status(thm)],[99,138,theory(equality)]) ).
cnf(484,plain,
( n0 = X1
| holdsAt(waterLevel(n3),X1)
| holdsAt(X2,plus(X1,n1))
| releasedAt(X2,plus(X1,n1))
| ~ holdsAt(X2,X1) ),
inference(spm,[status(thm)],[100,138,theory(equality)]) ).
cnf(644,plain,
less(n2,n3),
inference(spm,[status(thm)],[256,303,theory(equality)]) ).
cnf(645,plain,
less(n1,n2),
inference(spm,[status(thm)],[252,303,theory(equality)]) ).
cnf(646,plain,
less(n0,n1),
inference(spm,[status(thm)],[248,303,theory(equality)]) ).
cnf(654,plain,
~ less(n2,n1),
inference(spm,[status(thm)],[205,645,theory(equality)]) ).
cnf(681,plain,
( esk9_3(X1,X2,n1) = n0
| ~ stoppedIn(X1,X2,n1) ),
inference(spm,[status(thm)],[364,169,theory(equality)]) ).
cnf(717,plain,
( releasedAt(X1,X2)
| X1 != filling
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[368,88,theory(equality)]) ).
cnf(1006,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| ~ happens(X3,X2)
| tapOn != X3 ),
inference(spm,[status(thm)],[76,366,theory(equality)]) ).
cnf(1405,plain,
( holdsAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| filling != X1
| tapOn != X3 ),
inference(spm,[status(thm)],[404,300,theory(equality)]) ).
cnf(1406,plain,
( less(X1,n0)
| ~ stoppedIn(X1,X2,n1) ),
inference(spm,[status(thm)],[170,681,theory(equality)]) ).
cnf(1412,plain,
~ stoppedIn(X1,X2,n1),
inference(sr,[status(thm)],[1406,245,theory(equality)]) ).
cnf(2147,plain,
( releasedAt(X1,X2)
| X1 != filling
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[717,208,theory(equality)]) ).
cnf(2193,plain,
( releasedAt(X1,n0)
| X1 != filling
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[2147,317,theory(equality)]) ).
cnf(2202,plain,
~ releasedAt(filling,n1),
inference(spm,[status(thm)],[206,2193,theory(equality)]) ).
cnf(2898,plain,
( releasedAt(X1,X2)
| happens(tapOn,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[89,469,theory(equality)]) ).
cnf(3000,plain,
( tapOn = X1
| overflow = X1
| holdsAt(X3,X2)
| ~ epred1_3(X3,X2,X1) ),
inference(csr,[status(thm)],[472,427]) ).
cnf(3003,plain,
( overflow = X1
| tapOn = X1
| holdsAt(X2,n0)
| waterLevel(n0) != X2
| tapOff != X1 ),
inference(spm,[status(thm)],[3000,405,theory(equality)]) ).
cnf(3260,plain,
( releasedAt(X1,n1)
| n0 = n1
| holdsAt(X1,plus(n1,n1))
| holdsAt(filling,n1)
| X1 != filling
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[2147,482,theory(equality)]) ).
cnf(3266,plain,
( releasedAt(X1,n1)
| n0 = n1
| holdsAt(X1,n2)
| holdsAt(filling,n1)
| X1 != filling
| ~ holdsAt(X1,n1) ),
inference(rw,[status(thm)],[3260,189,theory(equality)]) ).
cnf(3331,plain,
( releasedAt(X1,X2)
| n0 = X2
| holdsAt(X1,plus(X2,n1))
| holdsAt(waterLevel(n3),X2)
| X1 != filling
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[717,484,theory(equality)]) ).
cnf(6157,plain,
( tapOn = tapOff
| overflow = tapOff
| holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(er,[status(thm)],[3003,theory(equality)]) ).
cnf(6158,plain,
( tapOff = overflow
| holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(sr,[status(thm)],[6157,183,theory(equality)]) ).
cnf(6159,plain,
( holdsAt(X1,n0)
| waterLevel(n0) != X1 ),
inference(sr,[status(thm)],[6158,73,theory(equality)]) ).
cnf(6165,plain,
( trajectory(filling,n0,waterLevel(X1),X2)
| plus(X3,X2) != X1
| waterLevel(n0) != waterLevel(X3) ),
inference(spm,[status(thm)],[182,6159,theory(equality)]) ).
cnf(6288,plain,
( releasedAt(X1,X2)
| happens(tapOn,X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[2898,208,theory(equality)]) ).
cnf(6877,plain,
( releasedAt(X1,n0)
| happens(tapOn,n0)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[6288,317,theory(equality)]) ).
cnf(7116,plain,
( happens(tapOn,n0)
| ~ releasedAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[210,6877,theory(equality)]) ).
cnf(7805,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| tapOn != X3
| n0 != X2 ),
inference(spm,[status(thm)],[1006,97,theory(equality)]) ).
cnf(9106,plain,
( trajectory(filling,n0,waterLevel(plus(X1,X2)),X2)
| waterLevel(n0) != waterLevel(X1) ),
inference(er,[status(thm)],[6165,theory(equality)]) ).
cnf(9180,plain,
( trajectory(filling,n0,waterLevel(plus(X2,X1)),X2)
| waterLevel(n0) != waterLevel(X1) ),
inference(spm,[status(thm)],[9106,208,theory(equality)]) ).
cnf(9278,plain,
trajectory(filling,n0,waterLevel(n1),n1),
inference(spm,[status(thm)],[9180,317,theory(equality)]) ).
cnf(9284,plain,
( holdsAt(waterLevel(n1),plus(n0,n1))
| stoppedIn(n0,filling,plus(n0,n1))
| ~ less(n0,n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(spm,[status(thm)],[83,9278,theory(equality)]) ).
cnf(9285,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)],[9284,208,theory(equality)]),317,theory(equality)]) ).
cnf(9286,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)],[9285,208,theory(equality)]),317,theory(equality)]) ).
cnf(9287,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| $false
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(rw,[status(thm)],[9286,646,theory(equality)]) ).
cnf(9288,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(cn,[status(thm)],[9287,theory(equality)]) ).
cnf(9289,plain,
( holdsAt(waterLevel(n1),n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(sr,[status(thm)],[9288,1412,theory(equality)]) ).
cnf(9315,plain,
( holdsAt(waterLevel(n1),n1)
| ~ happens(X1,n0)
| ~ epred1_3(filling,n0,X1) ),
inference(spm,[status(thm)],[9289,178,theory(equality)]) ).
cnf(9324,plain,
( holdsAt(waterLevel(n1),n1)
| ~ epred1_3(filling,n0,X1)
| tapOn != X1 ),
inference(spm,[status(thm)],[9315,97,theory(equality)]) ).
cnf(9337,plain,
( holdsAt(waterLevel(n1),n1)
| tapOn != X1 ),
inference(spm,[status(thm)],[9324,300,theory(equality)]) ).
cnf(9345,plain,
holdsAt(waterLevel(n1),n1),
inference(er,[status(thm)],[9337,theory(equality)]) ).
cnf(9346,plain,
( X1 = n1
| ~ holdsAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[186,9345,theory(equality)]) ).
cnf(20935,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| n0 != X2 ),
inference(er,[status(thm)],[7805,theory(equality)]) ).
cnf(20963,plain,
( releasedAt(waterLevel(X1),plus(n1,X2))
| n0 != X2 ),
inference(spm,[status(thm)],[20935,208,theory(equality)]) ).
cnf(21496,plain,
releasedAt(waterLevel(X1),n1),
inference(spm,[status(thm)],[20963,317,theory(equality)]) ).
cnf(21778,plain,
( happens(tapOn,n0)
| $false ),
inference(rw,[status(thm)],[7116,21496,theory(equality)]) ).
cnf(21779,plain,
happens(tapOn,n0),
inference(cn,[status(thm)],[21778,theory(equality)]) ).
cnf(21796,plain,
( holdsAt(X1,plus(n0,n1))
| filling != X1 ),
inference(spm,[status(thm)],[1405,21779,theory(equality)]) ).
cnf(21804,plain,
( holdsAt(X1,n1)
| filling != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21796,208,theory(equality)]),317,theory(equality)]) ).
cnf(58798,plain,
( n0 = n1
| holdsAt(filling,n1)
| holdsAt(X1,n2)
| releasedAt(X1,n1)
| X1 != filling ),
inference(csr,[status(thm)],[3266,21804]) ).
cnf(58799,plain,
( n0 = n1
| holdsAt(filling,n1)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[2202,58798,theory(equality)]) ).
cnf(58963,plain,
( n0 = n1
| holdsAt(filling,n1) ),
inference(sr,[status(thm)],[58799,211,theory(equality)]) ).
cnf(63282,plain,
( n0 = n1
| holdsAt(filling,plus(n1,n1))
| holdsAt(waterLevel(n3),n1)
| ~ holdsAt(filling,n1) ),
inference(spm,[status(thm)],[2202,3331,theory(equality)]) ).
cnf(63560,plain,
( n0 = n1
| holdsAt(filling,n2)
| holdsAt(waterLevel(n3),n1)
| ~ holdsAt(filling,n1) ),
inference(rw,[status(thm)],[63282,189,theory(equality)]) ).
cnf(63561,plain,
( n0 = n1
| holdsAt(waterLevel(n3),n1)
| ~ holdsAt(filling,n1) ),
inference(sr,[status(thm)],[63560,211,theory(equality)]) ).
cnf(63871,plain,
( n0 = n1
| holdsAt(waterLevel(n3),n1) ),
inference(csr,[status(thm)],[63561,58963]) ).
cnf(63893,plain,
( n3 = n1
| n0 = n1 ),
inference(spm,[status(thm)],[9346,63871,theory(equality)]) ).
cnf(64015,plain,
( less(n2,n1)
| n0 = n1 ),
inference(spm,[status(thm)],[644,63893,theory(equality)]) ).
cnf(64454,plain,
n0 = n1,
inference(sr,[status(thm)],[64015,654,theory(equality)]) ).
cnf(64540,plain,
less(n1,n1),
inference(rw,[status(thm)],[646,64454,theory(equality)]) ).
cnf(64541,plain,
$false,
inference(sr,[status(thm)],[64540,305,theory(equality)]) ).
cnf(64542,plain,
$false,
64541,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR009+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/tmpJi7dQd/sel_CSR009+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpJi7dQd/sel_CSR009+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/tmpJi7dQd/sel_CSR009+1.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/tmpJi7dQd/sel_CSR009+1.p_4 with time limit 55
% -prover status ResourceOut
% --creating new selector for [CSR001+0.ax, CSR001+1.ax]
% -running prover on /tmp/tmpJi7dQd/sel_CSR009+1.p_5 with time limit 54
% -prover status Theorem
% Problem CSR009+1.p solved in phase 4.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR009+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR009+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
%
%------------------------------------------------------------------------------