TSTP Solution File: CSR012+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR012+1 : TPTP v5.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 06:01:55 EST 2010
% Result : Theorem 186.03s
% Output : CNFRefutation 186.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 16
% Syntax : Number of formulae : 105 ( 28 unt; 0 def)
% Number of atoms : 656 ( 312 equ)
% Maximal formula atoms : 194 ( 6 avg)
% Number of connectives : 805 ( 254 ~; 385 |; 155 &)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 50 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 241 ( 7 sgn 133 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( happens(X1,X2)
<=> ( ( X1 = tapOn
& X2 = n0 )
| ( holdsAt(waterLevel(n3),X2)
& holdsAt(filling,X2)
& X1 = overflow ) ) ),
file('/tmp/tmp3GqCxZ/sel_CSR012+1.p_4',happens_all_defn) ).
fof(2,axiom,
tapOff != overflow,
file('/tmp/tmp3GqCxZ/sel_CSR012+1.p_4',tapOff_not_overflow) ).
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/tmp3GqCxZ/sel_CSR012+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/tmp3GqCxZ/sel_CSR012+1.p_4',change_of_waterLevel) ).
fof(7,axiom,
! [X8] : filling != waterLevel(X8),
file('/tmp/tmp3GqCxZ/sel_CSR012+1.p_4',filling_not_waterLevel) ).
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/tmp3GqCxZ/sel_CSR012+1.p_4',change_holding) ).
fof(17,axiom,
! [X8,X10] :
( waterLevel(X8) = waterLevel(X10)
<=> X8 = X10 ),
file('/tmp/tmp3GqCxZ/sel_CSR012+1.p_4',distinct_waterLevels) ).
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/tmp3GqCxZ/sel_CSR012+1.p_4',stoppedin_defn) ).
fof(27,axiom,
plus(n0,n1) = n1,
file('/tmp/tmp3GqCxZ/sel_CSR012+1.p_4',plus0_1) ).
fof(28,axiom,
holdsAt(waterLevel(n0),n0),
file('/tmp/tmp3GqCxZ/sel_CSR012+1.p_4',waterLevel_0) ).
fof(29,conjecture,
holdsAt(waterLevel(n1),n1),
file('/tmp/tmp3GqCxZ/sel_CSR012+1.p_4',waterLevel_1) ).
fof(37,axiom,
! [X8,X10] : plus(X8,X10) = plus(X10,X8),
file('/tmp/tmp3GqCxZ/sel_CSR012+1.p_4',symmetry_of_plus) ).
fof(39,axiom,
! [X8,X10] :
( less_or_equal(X8,X10)
<=> ( less(X8,X10)
| X8 = X10 ) ),
file('/tmp/tmp3GqCxZ/sel_CSR012+1.p_4',less_or_equal) ).
fof(47,axiom,
~ ? [X8] : less(X8,n0),
file('/tmp/tmp3GqCxZ/sel_CSR012+1.p_4',less0) ).
fof(48,axiom,
! [X8] :
( less(X8,n1)
<=> less_or_equal(X8,n0) ),
file('/tmp/tmp3GqCxZ/sel_CSR012+1.p_4',less1) ).
fof(51,negated_conjecture,
~ holdsAt(waterLevel(n1),n1),
inference(assume_negation,[status(cth)],[29]) ).
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(57,negated_conjecture,
~ holdsAt(waterLevel(n1),n1),
inference(fof_simplification,[status(thm)],[51,theory(equality)]) ).
fof(64,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(65,plain,
! [X1,X3,X2] :
( initiates(X1,X3,X2)
<=> epred1_3(X3,X2,X1) ),
inference(apply_def,[status(esa)],[4,64,theory(equality)]) ).
fof(66,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(67,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)],[66]) ).
fof(68,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)],[67]) ).
cnf(70,plain,
( happens(X1,X2)
| X2 != n0
| X1 != tapOn ),
inference(split_conjunct,[status(thm)],[68]) ).
cnf(77,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[2]) ).
fof(81,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)],[65]) ).
fof(82,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)],[81]) ).
cnf(83,plain,
( initiates(X1,X2,X3)
| ~ epred1_3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[82]) ).
fof(85,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(86,plain,
! [X8,X9,X10,X11] :
( ~ holdsAt(waterLevel(X8),X9)
| X10 != plus(X8,X11)
| trajectory(filling,X9,waterLevel(X10),X11) ),
inference(variable_rename,[status(thm)],[85]) ).
cnf(87,plain,
( trajectory(filling,X1,waterLevel(X2),X3)
| X2 != plus(X4,X3)
| ~ holdsAt(waterLevel(X4),X1) ),
inference(split_conjunct,[status(thm)],[86]) ).
fof(91,plain,
! [X9] : filling != waterLevel(X9),
inference(variable_rename,[status(thm)],[7]) ).
cnf(92,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[91]) ).
fof(102,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(103,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)],[102]) ).
cnf(104,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)],[103]) ).
fof(127,plain,
! [X8,X10] :
( ( waterLevel(X8) != waterLevel(X10)
| X8 = X10 )
& ( X8 != X10
| waterLevel(X8) = waterLevel(X10) ) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(128,plain,
! [X11,X12] :
( ( waterLevel(X11) != waterLevel(X12)
| X11 = X12 )
& ( X11 != X12
| waterLevel(X11) = waterLevel(X12) ) ),
inference(variable_rename,[status(thm)],[127]) ).
cnf(130,plain,
( X1 = X2
| waterLevel(X1) != waterLevel(X2) ),
inference(split_conjunct,[status(thm)],[128]) ).
fof(137,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(138,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)],[137]) ).
fof(139,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)],[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) )
& ( ~ 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)],[139]) ).
fof(141,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)],[140]) ).
cnf(143,plain,
( less(esk5_3(X1,X2,X3),X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[141]) ).
cnf(144,plain,
( less(X1,esk5_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[141]) ).
cnf(156,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[27]) ).
cnf(157,plain,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(158,negated_conjecture,
~ holdsAt(waterLevel(n1),n1),
inference(split_conjunct,[status(thm)],[57]) ).
fof(171,plain,
! [X11,X12] : plus(X11,X12) = plus(X12,X11),
inference(variable_rename,[status(thm)],[37]) ).
cnf(172,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[171]) ).
fof(175,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(176,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)],[175]) ).
fof(177,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)],[176]) ).
cnf(178,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[177]) ).
cnf(180,plain,
( X1 = X2
| less(X1,X2)
| ~ less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[177]) ).
fof(206,plain,
! [X8] : ~ less(X8,n0),
inference(fof_nnf,[status(thm)],[47]) ).
fof(207,plain,
! [X9] : ~ less(X9,n0),
inference(variable_rename,[status(thm)],[206]) ).
cnf(208,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[207]) ).
fof(209,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(210,plain,
! [X9] :
( ( ~ less(X9,n1)
| less_or_equal(X9,n0) )
& ( ~ less_or_equal(X9,n0)
| less(X9,n1) ) ),
inference(variable_rename,[status(thm)],[209]) ).
cnf(211,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[210]) ).
cnf(212,plain,
( less_or_equal(X1,n0)
| ~ less(X1,n1) ),
inference(split_conjunct,[status(thm)],[210]) ).
fof(221,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)],[64]) ).
fof(222,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)],[221]) ).
fof(223,plain,
! [X5,X6,X7] :
( ( ~ epred1_3(X7,X6,X5)
| ( X5 = tapOn
& X7 = filling )
| ( X5 = overflow
& X7 = spilling )
| ( holdsAt(waterLevel(esk6_3(X5,X6,X7)),X6)
& X5 = tapOff
& X7 = waterLevel(esk6_3(X5,X6,X7)) )
| ( holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
& X5 = overflow
& X7 = waterLevel(esk7_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)],[222]) ).
fof(224,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(esk6_3(X5,X6,X7)),X6)
& X5 = tapOff
& X7 = waterLevel(esk6_3(X5,X6,X7)) )
| ( holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
& X5 = overflow
& X7 = waterLevel(esk7_3(X5,X6,X7)) ) ) ),
inference(shift_quantors,[status(thm)],[223]) ).
fof(225,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(esk7_3(X5,X6,X7)),X6)
| holdsAt(waterLevel(esk6_3(X5,X6,X7)),X6)
| X5 = overflow
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| holdsAt(waterLevel(esk6_3(X5,X6,X7)),X6)
| X5 = overflow
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk7_3(X5,X6,X7))
| holdsAt(waterLevel(esk6_3(X5,X6,X7)),X6)
| X5 = overflow
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk7_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(esk7_3(X5,X6,X7))
| X5 = tapOff
| X5 = overflow
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| X7 = waterLevel(esk6_3(X5,X6,X7))
| X5 = overflow
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| X7 = waterLevel(esk6_3(X5,X6,X7))
| X5 = overflow
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk7_3(X5,X6,X7))
| X7 = waterLevel(esk6_3(X5,X6,X7))
| X5 = overflow
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| holdsAt(waterLevel(esk6_3(X5,X6,X7)),X6)
| X7 = spilling
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| holdsAt(waterLevel(esk6_3(X5,X6,X7)),X6)
| X7 = spilling
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk7_3(X5,X6,X7))
| holdsAt(waterLevel(esk6_3(X5,X6,X7)),X6)
| X7 = spilling
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk7_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(esk7_3(X5,X6,X7))
| X5 = tapOff
| X7 = spilling
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| X7 = waterLevel(esk6_3(X5,X6,X7))
| X7 = spilling
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| X7 = waterLevel(esk6_3(X5,X6,X7))
| X7 = spilling
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk7_3(X5,X6,X7))
| X7 = waterLevel(esk6_3(X5,X6,X7))
| X7 = spilling
| X5 = tapOn
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| holdsAt(waterLevel(esk6_3(X5,X6,X7)),X6)
| X5 = overflow
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| holdsAt(waterLevel(esk6_3(X5,X6,X7)),X6)
| X5 = overflow
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk7_3(X5,X6,X7))
| holdsAt(waterLevel(esk6_3(X5,X6,X7)),X6)
| X5 = overflow
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk7_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(esk7_3(X5,X6,X7))
| X5 = tapOff
| X5 = overflow
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| X7 = waterLevel(esk6_3(X5,X6,X7))
| X5 = overflow
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| X7 = waterLevel(esk6_3(X5,X6,X7))
| X5 = overflow
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk7_3(X5,X6,X7))
| X7 = waterLevel(esk6_3(X5,X6,X7))
| X5 = overflow
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| holdsAt(waterLevel(esk6_3(X5,X6,X7)),X6)
| X7 = spilling
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| holdsAt(waterLevel(esk6_3(X5,X6,X7)),X6)
| X7 = spilling
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk7_3(X5,X6,X7))
| holdsAt(waterLevel(esk6_3(X5,X6,X7)),X6)
| X7 = spilling
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk7_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(esk7_3(X5,X6,X7))
| X5 = tapOff
| X7 = spilling
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( holdsAt(waterLevel(esk7_3(X5,X6,X7)),X6)
| X7 = waterLevel(esk6_3(X5,X6,X7))
| X7 = spilling
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X5 = overflow
| X7 = waterLevel(esk6_3(X5,X6,X7))
| X7 = spilling
| X7 = filling
| ~ epred1_3(X7,X6,X5) )
& ( X7 = waterLevel(esk7_3(X5,X6,X7))
| X7 = waterLevel(esk6_3(X5,X6,X7))
| X7 = spilling
| X7 = filling
| ~ epred1_3(X7,X6,X5) ) ),
inference(distribute,[status(thm)],[224]) ).
cnf(236,plain,
( X1 = filling
| X3 = overflow
| X1 = waterLevel(esk6_3(X3,X2,X1))
| X3 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[225]) ).
cnf(242,plain,
( X1 = filling
| X3 = overflow
| holdsAt(waterLevel(esk6_3(X3,X2,X1)),X2)
| X3 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[225]) ).
cnf(263,plain,
( epred1_3(X1,X2,X3)
| X1 != filling
| X3 != tapOn ),
inference(split_conjunct,[status(thm)],[225]) ).
cnf(264,plain,
( epred1_3(X1,X2,X3)
| X1 != waterLevel(X4)
| X3 != tapOff
| ~ holdsAt(waterLevel(X4),X2) ),
inference(split_conjunct,[status(thm)],[225]) ).
cnf(267,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[178,theory(equality)]) ).
cnf(278,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[156,172,theory(equality)]) ).
cnf(321,plain,
( X1 = n0
| less(X1,n0)
| ~ less(X1,n1) ),
inference(spm,[status(thm)],[180,212,theory(equality)]) ).
cnf(331,plain,
( X1 = n0
| ~ less(X1,n1) ),
inference(sr,[status(thm)],[321,208,theory(equality)]) ).
cnf(364,plain,
( esk6_3(X1,X2,X3) = X4
| overflow = X1
| filling = X3
| X3 != waterLevel(X4)
| ~ epred1_3(X3,X2,X1) ),
inference(spm,[status(thm)],[130,236,theory(equality)]) ).
cnf(375,plain,
( epred1_3(X1,n0,X2)
| waterLevel(n0) != X1
| tapOff != X2 ),
inference(spm,[status(thm)],[264,157,theory(equality)]) ).
cnf(554,plain,
less(n0,n1),
inference(spm,[status(thm)],[211,267,theory(equality)]) ).
cnf(591,plain,
( esk5_3(X1,X2,n1) = n0
| ~ stoppedIn(X1,X2,n1) ),
inference(spm,[status(thm)],[331,143,theory(equality)]) ).
cnf(1154,plain,
( less(X1,n0)
| ~ stoppedIn(X1,X2,n1) ),
inference(spm,[status(thm)],[144,591,theory(equality)]) ).
cnf(1160,plain,
~ stoppedIn(X1,X2,n1),
inference(sr,[status(thm)],[1154,208,theory(equality)]) ).
cnf(1271,plain,
( esk6_3(X1,X2,waterLevel(X3)) = X3
| filling = waterLevel(X3)
| overflow = X1
| ~ epred1_3(waterLevel(X3),X2,X1) ),
inference(er,[status(thm)],[364,theory(equality)]) ).
cnf(1278,plain,
( esk6_3(X1,X2,waterLevel(X3)) = X3
| overflow = X1
| ~ epred1_3(waterLevel(X3),X2,X1) ),
inference(sr,[status(thm)],[1271,92,theory(equality)]) ).
cnf(2338,plain,
( overflow = X1
| filling = waterLevel(X2)
| holdsAt(waterLevel(X2),X3)
| ~ epred1_3(waterLevel(X2),X3,X1) ),
inference(spm,[status(thm)],[242,1278,theory(equality)]) ).
cnf(2353,plain,
( overflow = X1
| holdsAt(waterLevel(X2),X3)
| ~ epred1_3(waterLevel(X2),X3,X1) ),
inference(sr,[status(thm)],[2338,92,theory(equality)]) ).
cnf(2379,plain,
( overflow = X1
| holdsAt(waterLevel(X2),n0)
| waterLevel(n0) != waterLevel(X2)
| tapOff != X1 ),
inference(spm,[status(thm)],[2353,375,theory(equality)]) ).
cnf(4873,plain,
( overflow = tapOff
| holdsAt(waterLevel(X1),n0)
| waterLevel(n0) != waterLevel(X1) ),
inference(er,[status(thm)],[2379,theory(equality)]) ).
cnf(4874,plain,
( holdsAt(waterLevel(X1),n0)
| waterLevel(n0) != waterLevel(X1) ),
inference(sr,[status(thm)],[4873,77,theory(equality)]) ).
cnf(4880,plain,
( trajectory(filling,n0,waterLevel(X1),X2)
| plus(X3,X2) != X1
| waterLevel(n0) != waterLevel(X3) ),
inference(spm,[status(thm)],[87,4874,theory(equality)]) ).
cnf(5835,plain,
( trajectory(filling,n0,waterLevel(plus(X1,X2)),X2)
| waterLevel(n0) != waterLevel(X1) ),
inference(er,[status(thm)],[4880,theory(equality)]) ).
cnf(5936,plain,
( trajectory(filling,n0,waterLevel(plus(X2,X1)),X2)
| waterLevel(n0) != waterLevel(X1) ),
inference(spm,[status(thm)],[5835,172,theory(equality)]) ).
cnf(5974,plain,
trajectory(filling,n0,waterLevel(n1),n1),
inference(spm,[status(thm)],[5936,278,theory(equality)]) ).
cnf(5981,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)],[104,5974,theory(equality)]) ).
cnf(5982,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)],[5981,172,theory(equality)]),278,theory(equality)]) ).
cnf(5983,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)],[5982,172,theory(equality)]),278,theory(equality)]) ).
cnf(5984,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1)
| $false
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(rw,[status(thm)],[5983,554,theory(equality)]) ).
cnf(5985,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(cn,[status(thm)],[5984,theory(equality)]) ).
cnf(5986,plain,
( holdsAt(waterLevel(n1),n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(sr,[status(thm)],[5985,1160,theory(equality)]) ).
cnf(5987,plain,
( ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(sr,[status(thm)],[5986,158,theory(equality)]) ).
cnf(6004,plain,
( ~ happens(X1,n0)
| ~ epred1_3(filling,n0,X1) ),
inference(spm,[status(thm)],[5987,83,theory(equality)]) ).
cnf(6014,plain,
( ~ epred1_3(filling,n0,X1)
| tapOn != X1 ),
inference(spm,[status(thm)],[6004,70,theory(equality)]) ).
cnf(6024,plain,
tapOn != X1,
inference(spm,[status(thm)],[6014,263,theory(equality)]) ).
cnf(6032,plain,
$false,
inference(er,[status(thm)],[6024,theory(equality)]) ).
cnf(6033,plain,
$false,
6032,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR012+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/tmp3GqCxZ/sel_CSR012+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmp3GqCxZ/sel_CSR012+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/tmp3GqCxZ/sel_CSR012+1.p_3 with time limit 75
% -prover status ResourceOut
% --creating new selector for [CSR001+0.ax, CSR001+1.ax]
% -running prover on /tmp/tmp3GqCxZ/sel_CSR012+1.p_4 with time limit 55
% -prover status Theorem
% Problem CSR012+1.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR012+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR012+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
%
%------------------------------------------------------------------------------