TSTP Solution File: CSR009+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : CSR009+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 03:01:23 EDT 2022
% Result : Theorem 0.26s 5.44s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 71
% Syntax : Number of formulae : 403 ( 85 unt; 0 def)
% Number of atoms : 1360 ( 536 equ)
% Maximal formula atoms : 194 ( 3 avg)
% Number of connectives : 1566 ( 609 ~; 789 |; 110 &)
% ( 48 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 48 ( 46 usr; 36 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-3 aty)
% Number of variables : 578 ( 68 sgn 195 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(initiates_all_defn,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> ( ( X4 = tapOn
& X2 = filling )
| ( X4 = overflow
& X2 = spilling )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = tapOff
& X2 = waterLevel(X9) )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = overflow
& X2 = waterLevel(X9) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).
fof(happens_holds,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& initiates(X4,X2,X5) )
=> holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_holds) ).
fof(happens_all_defn,axiom,
! [X4,X5] :
( happens(X4,X5)
<=> ( ( X4 = tapOn
& X5 = n0 )
| ( holdsAt(waterLevel(n3),X5)
& holdsAt(filling,X5)
& X4 = overflow ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
fof(keep_not_released,axiom,
! [X2,X5] :
( ( ~ releasedAt(X2,X5)
& ~ ? [X4] :
( happens(X4,X5)
& releases(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).
fof(releases_all_defn,axiom,
! [X4,X2,X5] :
( releases(X4,X2,X5)
<=> ? [X9] :
( X4 = tapOn
& X2 = waterLevel(X9) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',releases_all_defn) ).
fof(keep_holding,axiom,
! [X2,X5] :
( ( holdsAt(X2,X5)
& ~ releasedAt(X2,plus(X5,n1))
& ~ ? [X4] :
( happens(X4,X5)
& terminates(X4,X2,X5) ) )
=> holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',keep_holding) ).
fof(filling_2,conjecture,
holdsAt(filling,n2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',filling_2) ).
fof(happens_not_released,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& ( initiates(X4,X2,X5)
| terminates(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_not_released) ).
fof(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',symmetry_of_plus) ).
fof(overflow_not_tapOn,axiom,
overflow != tapOn,
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',overflow_not_tapOn) ).
fof(plus1_1,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',plus1_1) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',plus0_1) ).
fof(happens_terminates_not_holds,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& terminates(X4,X2,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).
fof(terminates_all_defn,axiom,
! [X4,X2,X5] :
( terminates(X4,X2,X5)
<=> ( ( X4 = tapOff
& X2 = filling )
| ( X4 = overflow
& X2 = filling ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',terminates_all_defn) ).
fof(spilling_not_waterLevel,axiom,
! [X12] : spilling != waterLevel(X12),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',spilling_not_waterLevel) ).
fof(tapOff_not_overflow,axiom,
tapOff != overflow,
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',tapOff_not_overflow) ).
fof(happens_releases,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& releases(X4,X2,X5) )
=> releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_releases) ).
fof(stoppedin_defn,axiom,
! [X1,X2,X3] :
( stoppedIn(X1,X2,X3)
<=> ? [X4,X5] :
( happens(X4,X5)
& less(X1,X5)
& less(X5,X3)
& terminates(X4,X2,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
fof(change_of_waterLevel,axiom,
! [X10,X5,X11,X7] :
( ( holdsAt(waterLevel(X10),X5)
& X11 = plus(X10,X7) )
=> trajectory(filling,X5,waterLevel(X11),X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).
fof(less_or_equal,axiom,
! [X12,X13] :
( less_or_equal(X12,X13)
<=> ( less(X12,X13)
| X12 = X13 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',less_or_equal) ).
fof(less2,axiom,
! [X12] :
( less(X12,n2)
<=> less_or_equal(X12,n1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',less2) ).
fof(filling_not_waterLevel,axiom,
! [X12] : filling != waterLevel(X12),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).
fof(less3,axiom,
! [X12] :
( less(X12,n3)
<=> less_or_equal(X12,n2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',less3) ).
fof(less1,axiom,
! [X12] :
( less(X12,n1)
<=> less_or_equal(X12,n0) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',less1) ).
fof(less0,axiom,
~ ? [X12] : less(X12,n0),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',less0) ).
fof(less_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',less_property) ).
fof(tapOff_not_tapOn,axiom,
tapOff != tapOn,
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',tapOff_not_tapOn) ).
fof(not_released_waterLevel_0,hypothesis,
! [X9] : ~ releasedAt(waterLevel(X9),n0),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',not_released_waterLevel_0) ).
fof(plus1_2,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',plus1_2) ).
fof(change_holding,axiom,
! [X4,X5,X2,X6,X7] :
( ( happens(X4,X5)
& initiates(X4,X2,X5)
& less(n0,X7)
& trajectory(X2,X5,X6,X7)
& ~ stoppedIn(X5,X2,plus(X5,X7)) )
=> holdsAt(X6,plus(X5,X7)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',change_holding) ).
fof(plus1_3,axiom,
plus(n1,n3) = n4,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',plus1_3) ).
fof(same_waterLevel,axiom,
! [X5,X10,X11] :
( ( holdsAt(waterLevel(X10),X5)
& holdsAt(waterLevel(X11),X5) )
=> X10 = X11 ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',same_waterLevel) ).
fof(less4,axiom,
! [X12] :
( less(X12,n4)
<=> less_or_equal(X12,n3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',less4) ).
fof(waterLevel_0,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',waterLevel_0) ).
fof(keep_not_holding,axiom,
! [X2,X5] :
( ( ~ holdsAt(X2,X5)
& ~ releasedAt(X2,plus(X5,n1))
& ~ ? [X4] :
( happens(X4,X5)
& initiates(X4,X2,X5) ) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',keep_not_holding) ).
fof(c_0_35,plain,
! [X5,X4,X2] :
( epred1_3(X2,X4,X5)
<=> ( ( X4 = tapOn
& X2 = filling )
| ( X4 = overflow
& X2 = spilling )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = tapOff
& X2 = waterLevel(X9) )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = overflow
& X2 = waterLevel(X9) ) ) ),
introduced(definition) ).
fof(c_0_36,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_35]) ).
fof(c_0_37,plain,
! [X6,X7,X8,X6,X7,X8] :
( ( ~ initiates(X6,X7,X8)
| epred1_3(X7,X6,X8) )
& ( ~ epred1_3(X7,X6,X8)
| initiates(X6,X7,X8) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
fof(c_0_38,plain,
! [X10,X11,X12,X10,X11,X12,X15,X16] :
( ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X11 = tapOff
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X11 = tapOff
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X11 = tapOff
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X11 = tapOff
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X11 = tapOff
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X11 = tapOff
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X11 = tapOff
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X11 = tapOff
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X11 = tapOff
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X11 = tapOff
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X11 = tapOff
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X11 = tapOff
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 != tapOn
| X12 != filling
| epred1_3(X12,X11,X10) )
& ( X11 != overflow
| X12 != spilling
| epred1_3(X12,X11,X10) )
& ( ~ holdsAt(waterLevel(X15),X10)
| X11 != tapOff
| X12 != waterLevel(X15)
| epred1_3(X12,X11,X10) )
& ( ~ holdsAt(waterLevel(X16),X10)
| X11 != overflow
| X12 != waterLevel(X16)
| epred1_3(X12,X11,X10) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])])])])]) ).
fof(c_0_39,plain,
! [X6,X7,X8] :
( ~ happens(X6,X7)
| ~ initiates(X6,X8,X7)
| holdsAt(X8,plus(X7,n1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_holds])]) ).
cnf(c_0_40,plain,
( initiates(X1,X2,X3)
| ~ epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_41,plain,
( epred1_3(X1,X2,X3)
| X1 != filling
| X2 != tapOn ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_42,plain,
( holdsAt(X1,plus(X2,n1))
| ~ initiates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_43,plain,
( initiates(X1,X2,X3)
| X1 != tapOn
| X2 != filling ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_44,plain,
! [X6,X7,X6,X7] :
( ( holdsAt(waterLevel(n3),X7)
| X6 = tapOn
| ~ happens(X6,X7) )
& ( holdsAt(filling,X7)
| X6 = tapOn
| ~ happens(X6,X7) )
& ( X6 = overflow
| X6 = tapOn
| ~ happens(X6,X7) )
& ( holdsAt(waterLevel(n3),X7)
| X7 = n0
| ~ happens(X6,X7) )
& ( holdsAt(filling,X7)
| X7 = n0
| ~ happens(X6,X7) )
& ( X6 = overflow
| X7 = n0
| ~ happens(X6,X7) )
& ( X6 != tapOn
| X7 != n0
| happens(X6,X7) )
& ( ~ holdsAt(waterLevel(n3),X7)
| ~ holdsAt(filling,X7)
| X6 != overflow
| happens(X6,X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])])])]) ).
fof(c_0_45,plain,
( ~ epred42_0
<=> ! [X3] : X3 != tapOn ),
introduced(definition) ).
fof(c_0_46,plain,
! [X6,X7] :
( ( happens(esk8_2(X6,X7),X7)
| releasedAt(X6,X7)
| ~ releasedAt(X6,plus(X7,n1)) )
& ( releases(esk8_2(X6,X7),X6,X7)
| releasedAt(X6,X7)
| ~ releasedAt(X6,plus(X7,n1)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[keep_not_released])])])])])])]) ).
fof(c_0_47,plain,
! [X10,X11,X12,X10,X11,X14,X12] :
( ( X10 = tapOn
| ~ releases(X10,X11,X12) )
& ( X11 = waterLevel(esk9_2(X10,X11))
| ~ releases(X10,X11,X12) )
& ( X10 != tapOn
| X11 != waterLevel(X14)
| releases(X10,X11,X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[releases_all_defn])])])])])])]) ).
fof(c_0_48,plain,
( ~ epred41_0
<=> ! [X2,X1] :
( holdsAt(X1,plus(X2,n1))
| X2 != n0
| X1 != filling ) ),
introduced(definition) ).
cnf(c_0_49,plain,
( holdsAt(X1,plus(X2,n1))
| X3 != tapOn
| X1 != filling
| ~ happens(X3,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,plain,
( happens(X1,X2)
| X2 != n0
| X1 != tapOn ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
( epred42_0
| X1 != tapOn ),
inference(split_equiv,[status(thm)],[c_0_45]) ).
cnf(c_0_52,plain,
( X2 = n0
| X1 = overflow
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_53,plain,
( releasedAt(X1,X2)
| happens(esk8_2(X1,X2),X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_54,plain,
( X1 = tapOn
| ~ releases(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_55,plain,
( releasedAt(X1,X2)
| releases(esk8_2(X1,X2),X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_56,plain,
! [X6,X7] :
( ( happens(esk5_2(X6,X7),X7)
| ~ holdsAt(X6,X7)
| releasedAt(X6,plus(X7,n1))
| holdsAt(X6,plus(X7,n1)) )
& ( terminates(esk5_2(X6,X7),X6,X7)
| ~ holdsAt(X6,X7)
| releasedAt(X6,plus(X7,n1))
| holdsAt(X6,plus(X7,n1)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[keep_holding])])])])])])]) ).
fof(c_0_57,negated_conjecture,
~ holdsAt(filling,n2),
inference(assume_negation,[status(cth)],[filling_2]) ).
cnf(c_0_58,plain,
( ~ epred42_0
| ~ epred41_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_48]),c_0_45]) ).
cnf(c_0_59,plain,
epred42_0,
inference(er,[status(thm)],[c_0_51]) ).
fof(c_0_60,plain,
! [X6,X7,X8] :
( ( ~ initiates(X6,X8,X7)
| ~ happens(X6,X7)
| ~ releasedAt(X8,plus(X7,n1)) )
& ( ~ terminates(X6,X8,X7)
| ~ happens(X6,X7)
| ~ releasedAt(X8,plus(X7,n1)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[happens_not_released])])])]) ).
fof(c_0_61,plain,
( ~ epred34_0
<=> ! [X1] :
( ~ happens(X1,n0)
| X1 != tapOn ) ),
introduced(definition) ).
fof(c_0_62,plain,
! [X14,X15] : plus(X14,X15) = plus(X15,X14),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
cnf(c_0_63,plain,
( esk8_2(X1,X2) = overflow
| X2 = n0
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_64,plain,
( esk8_2(X1,X2) = tapOn
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_65,plain,
overflow != tapOn,
inference(split_conjunct,[status(thm)],[overflow_not_tapOn]) ).
cnf(c_0_66,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)],[c_0_56]) ).
fof(c_0_67,negated_conjecture,
~ holdsAt(filling,n2),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
cnf(c_0_68,plain,
( epred41_0
| holdsAt(X1,plus(X2,n1))
| X2 != n0
| X1 != filling ),
inference(split_equiv,[status(thm)],[c_0_48]) ).
cnf(c_0_69,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[plus1_1]) ).
cnf(c_0_70,plain,
~ epred41_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]) ).
cnf(c_0_71,plain,
( ~ releasedAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| ~ initiates(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_72,plain,
( epred34_0
| X1 != tapOn
| ~ happens(X1,n0) ),
inference(split_equiv,[status(thm)],[c_0_61]) ).
cnf(c_0_73,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_74,plain,
( X1 = n0
| releasedAt(X2,X1)
| ~ releasedAt(X2,plus(X1,n1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_75,plain,
( esk5_2(X1,X2) = overflow
| X2 = n0
| releasedAt(X1,plus(X2,n1))
| holdsAt(X1,plus(X2,n1))
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_66]) ).
cnf(c_0_76,negated_conjecture,
~ holdsAt(filling,n2),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_77,plain,
( holdsAt(X1,n2)
| n1 != n0
| X1 != filling ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
fof(c_0_78,plain,
( ~ epred32_0
<=> ! [X1] :
( ~ releasedAt(X1,n1)
| X1 != filling ) ),
introduced(definition) ).
cnf(c_0_79,plain,
( X1 != tapOn
| X2 != filling
| ~ releasedAt(X2,plus(X3,n1))
| ~ happens(X1,X3) ),
inference(spm,[status(thm)],[c_0_71,c_0_43]) ).
cnf(c_0_80,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
cnf(c_0_81,plain,
( epred34_0
| X1 != tapOn ),
inference(spm,[status(thm)],[c_0_72,c_0_50]) ).
cnf(c_0_82,plain,
( holdsAt(X1,plus(n1,X2))
| X2 != n0
| X1 != filling ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_73]),c_0_70]) ).
fof(c_0_83,plain,
! [X6,X7,X8] :
( ~ happens(X6,X7)
| ~ terminates(X6,X8,X7)
| ~ holdsAt(X8,plus(X7,n1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[happens_terminates_not_holds])])]) ).
fof(c_0_84,plain,
! [X6,X7,X8,X6,X7,X8] :
( ( X6 = overflow
| X6 = tapOff
| ~ terminates(X6,X7,X8) )
& ( X7 = filling
| X6 = tapOff
| ~ terminates(X6,X7,X8) )
& ( X6 = overflow
| X7 = filling
| ~ terminates(X6,X7,X8) )
& ( X7 = filling
| X7 = filling
| ~ terminates(X6,X7,X8) )
& ( X6 != tapOff
| X7 != filling
| terminates(X6,X7,X8) )
& ( X6 != overflow
| X7 != filling
| terminates(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[terminates_all_defn])])])])]) ).
cnf(c_0_85,plain,
( X1 = n0
| releasedAt(X2,X1)
| ~ releasedAt(X2,plus(n1,X1)) ),
inference(spm,[status(thm)],[c_0_74,c_0_73]) ).
cnf(c_0_86,plain,
( X1 = n0
| releasedAt(X2,plus(X1,n1))
| holdsAt(X2,plus(X1,n1))
| happens(overflow,X1)
| ~ holdsAt(X2,X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_75]) ).
cnf(c_0_87,negated_conjecture,
n1 != n0,
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_88,plain,
( ~ epred34_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_61]),c_0_78]) ).
cnf(c_0_89,plain,
epred34_0,
inference(er,[status(thm)],[c_0_81]) ).
cnf(c_0_90,plain,
( holdsAt(X1,plus(X2,n1))
| X2 != n0
| X1 != filling ),
inference(spm,[status(thm)],[c_0_82,c_0_73]) ).
cnf(c_0_91,plain,
( ~ holdsAt(X1,plus(X2,n1))
| ~ terminates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_92,plain,
( terminates(X1,X2,X3)
| X2 != filling
| X1 != tapOff ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
fof(c_0_93,plain,
( ~ epred43_0
<=> ! [X1] : X1 != filling ),
introduced(definition) ).
cnf(c_0_94,plain,
( epred32_0
| X1 != filling
| ~ releasedAt(X1,n1) ),
inference(split_equiv,[status(thm)],[c_0_78]) ).
cnf(c_0_95,plain,
( releasedAt(X1,n1)
| holdsAt(X1,n2)
| happens(overflow,n1)
| ~ holdsAt(X1,n1) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_69]),c_0_87]) ).
cnf(c_0_96,plain,
~ epred32_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89])]) ).
cnf(c_0_97,plain,
( holdsAt(X1,n1)
| X1 != filling ),
inference(spm,[status(thm)],[c_0_90,c_0_80]) ).
fof(c_0_98,plain,
( ~ epred44_0
<=> ! [X3,X2] :
( ~ happens(X2,X3)
| X3 != n0
| X2 != tapOff ) ),
introduced(definition) ).
cnf(c_0_99,plain,
( X1 != filling
| X2 != tapOff
| ~ holdsAt(X1,plus(X3,n1))
| ~ happens(X2,X3) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_100,plain,
( epred43_0
| X1 != filling ),
inference(split_equiv,[status(thm)],[c_0_93]) ).
fof(c_0_101,plain,
( ~ epred31_0
<=> ! [X1] :
( ~ releasedAt(X1,n2)
| X1 != filling ) ),
introduced(definition) ).
cnf(c_0_102,plain,
( holdsAt(X1,n2)
| happens(overflow,n1)
| X1 != filling ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),c_0_97]) ).
cnf(c_0_103,plain,
( ~ epred44_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_68]),c_0_70]),c_0_93]),c_0_98]) ).
cnf(c_0_104,plain,
epred43_0,
inference(er,[status(thm)],[c_0_100]) ).
cnf(c_0_105,plain,
( epred31_0
| X1 != filling
| ~ releasedAt(X1,n2) ),
inference(split_equiv,[status(thm)],[c_0_101]) ).
cnf(c_0_106,plain,
( releasedAt(X1,n2)
| holdsAt(X1,n2)
| happens(overflow,n1)
| ~ holdsAt(X1,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_69]),c_0_87]) ).
cnf(c_0_107,plain,
( X1 = tapOn
| holdsAt(waterLevel(n3),X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_108,plain,
happens(overflow,n1),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_102]),c_0_76]) ).
cnf(c_0_109,plain,
~ epred44_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_104])]) ).
fof(c_0_110,plain,
( ~ epred45_0
<=> ! [X1] : X1 != n0 ),
introduced(definition) ).
cnf(c_0_111,plain,
( epred31_0
| holdsAt(X1,n2)
| happens(overflow,n1)
| X1 != filling ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_97]) ).
cnf(c_0_112,plain,
( epred1_3(X1,X2,X3)
| X1 != waterLevel(X4)
| X2 != overflow
| ~ holdsAt(waterLevel(X4),X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_113,plain,
holdsAt(waterLevel(n3),n1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_65]) ).
fof(c_0_114,plain,
( ~ epred14_0
<=> ! [X2] :
( ~ happens(X2,n1)
| X2 != overflow ) ),
introduced(definition) ).
cnf(c_0_115,plain,
( releases(X1,X2,X3)
| X2 != waterLevel(X4)
| X1 != tapOn ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_116,plain,
( ~ epred46_0
<=> ! [X2] :
( X2 != tapOn
| X2 != tapOff ) ),
introduced(definition) ).
cnf(c_0_117,plain,
( X1 != n0
| X2 != tapOff
| ~ happens(X2,X1) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_98]),c_0_109]) ).
cnf(c_0_118,plain,
( epred45_0
| X1 != n0 ),
inference(split_equiv,[status(thm)],[c_0_110]) ).
fof(c_0_119,plain,
! [X13] : spilling != waterLevel(X13),
inference(variable_rename,[status(thm)],[spilling_not_waterLevel]) ).
cnf(c_0_120,plain,
( X1 = filling
| X2 = overflow
| X1 = waterLevel(esk10_3(X3,X2,X1))
| X2 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_121,plain,
( epred31_0
| happens(overflow,n1) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_111]),c_0_76]) ).
fof(c_0_122,plain,
( ~ epred5_0
<=> ! [X1] :
( X1 = overflow
| X1 != tapOff ) ),
introduced(definition) ).
cnf(c_0_123,plain,
( epred1_3(X1,X2,n1)
| X1 != waterLevel(n3)
| X2 != overflow ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_124,plain,
( epred14_0
| X1 != overflow
| ~ happens(X1,n1) ),
inference(split_equiv,[status(thm)],[c_0_114]) ).
cnf(c_0_125,plain,
( X2 = waterLevel(esk9_2(X1,X2))
| ~ releases(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_126,plain,
( releases(X1,waterLevel(X2),X3)
| X1 != tapOn ),
inference(er,[status(thm)],[c_0_115]) ).
cnf(c_0_127,plain,
( X2 = tapOn
| X2 = overflow
| X1 = waterLevel(esk10_3(X3,X2,X1))
| X2 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_128,plain,
( ~ epred46_0
| ~ epred45_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_50]),c_0_110]),c_0_116]) ).
cnf(c_0_129,plain,
epred45_0,
inference(er,[status(thm)],[c_0_118]) ).
cnf(c_0_130,plain,
( X1 = filling
| X1 = spilling
| holdsAt(waterLevel(esk10_3(X3,X2,X1)),X3)
| holdsAt(waterLevel(esk11_3(X3,X2,X1)),X3)
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_131,plain,
( X1 = filling
| X1 = spilling
| holdsAt(waterLevel(esk10_3(X3,X2,X1)),X3)
| X1 = waterLevel(esk11_3(X3,X2,X1))
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_132,plain,
( X1 = filling
| X1 = spilling
| X1 = waterLevel(esk10_3(X3,X2,X1))
| holdsAt(waterLevel(esk11_3(X3,X2,X1)),X3)
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_133,plain,
( X1 = filling
| X1 = spilling
| X1 = waterLevel(esk10_3(X3,X2,X1))
| X1 = waterLevel(esk11_3(X3,X2,X1))
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_134,plain,
spilling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_135,plain,
( X2 = overflow
| X1 = filling
| X1 = waterLevel(esk10_3(X3,X2,X1))
| ~ epred1_3(X1,X2,X3) ),
inference(cn,[status(thm)],[c_0_120]) ).
cnf(c_0_136,plain,
( epred1_3(X1,X2,X3)
| X1 != waterLevel(X4)
| X2 != tapOff
| ~ holdsAt(waterLevel(X4),X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_137,plain,
( epred31_0
| holdsAt(waterLevel(n3),n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_121]),c_0_65]) ).
cnf(c_0_138,hypothesis,
( X1 = overflow
| epred5_0
| X1 != tapOff ),
inference(split_equiv,[status(thm)],[c_0_122]) ).
cnf(c_0_139,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[tapOff_not_overflow]) ).
fof(c_0_140,plain,
( ~ epred47_0
<=> ! [X1] : X1 != filling ),
introduced(definition) ).
fof(c_0_141,plain,
( ~ epred172_0
<=> ! [X1] :
( holdsAt(X1,n2)
| X1 != waterLevel(n3) ) ),
introduced(definition) ).
cnf(c_0_142,plain,
( initiates(X1,X2,n1)
| X2 != waterLevel(n3)
| X1 != overflow ),
inference(spm,[status(thm)],[c_0_40,c_0_123]) ).
cnf(c_0_143,plain,
epred14_0,
inference(spm,[status(thm)],[c_0_124,c_0_108]) ).
fof(c_0_144,plain,
! [X6,X7,X8] :
( ~ happens(X6,X7)
| ~ releases(X6,X8,X7)
| releasedAt(X8,plus(X7,n1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_releases])]) ).
cnf(c_0_145,plain,
( waterLevel(esk9_2(X1,waterLevel(X2))) = waterLevel(X2)
| X1 != tapOn ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_146,plain,
( X2 = tapOn
| X2 = overflow
| X1 = waterLevel(esk10_3(X3,X2,X1))
| ~ epred1_3(X1,X2,X3) ),
inference(cn,[status(thm)],[c_0_127]) ).
cnf(c_0_147,plain,
~ epred46_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129])]) ).
cnf(c_0_148,plain,
( X1 = filling
| X1 = spilling
| holdsAt(waterLevel(esk10_3(X2,X3,X1)),X2)
| holdsAt(X1,X2)
| ~ epred1_3(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_149,plain,
( waterLevel(esk10_3(X1,X2,X3)) = X3
| X3 = filling
| X3 = spilling
| holdsAt(X3,X1)
| ~ epred1_3(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
fof(c_0_150,plain,
( ~ epred111_0
<=> ! [X2] :
( epred31_0
| X2 = filling
| X2 != spilling
| X2 != waterLevel(n3) ) ),
introduced(definition) ).
cnf(c_0_151,plain,
( X1 = overflow
| X2 = filling
| X2 != spilling
| ~ epred1_3(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_152,plain,
( epred31_0
| epred1_3(X1,X2,n1)
| X1 != waterLevel(n3)
| X2 != tapOff ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_153,hypothesis,
epred5_0,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_138]),c_0_139]) ).
fof(c_0_154,plain,
! [X6,X7,X8,X6,X7,X8,X11,X12] :
( ( happens(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| ~ stoppedIn(X6,X7,X8) )
& ( less(X6,esk2_3(X6,X7,X8))
| ~ stoppedIn(X6,X7,X8) )
& ( less(esk2_3(X6,X7,X8),X8)
| ~ stoppedIn(X6,X7,X8) )
& ( terminates(esk1_3(X6,X7,X8),X7,esk2_3(X6,X7,X8))
| ~ stoppedIn(X6,X7,X8) )
& ( ~ happens(X11,X12)
| ~ less(X6,X12)
| ~ less(X12,X8)
| ~ terminates(X11,X7,X12)
| stoppedIn(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[stoppedin_defn])])])])])])]) ).
cnf(c_0_155,plain,
( terminates(X1,X2,X3)
| X2 != filling
| X1 != overflow ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_156,plain,
( epred47_0
| X1 != filling ),
inference(split_equiv,[status(thm)],[c_0_140]) ).
fof(c_0_157,plain,
! [X12,X13,X14,X15] :
( ~ holdsAt(waterLevel(X12),X13)
| X14 != plus(X12,X15)
| trajectory(filling,X13,waterLevel(X14),X15) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])]) ).
cnf(c_0_158,plain,
~ epred172_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_142]),c_0_69]),c_0_141]),c_0_114]),c_0_143])]) ).
cnf(c_0_159,plain,
( releasedAt(X1,plus(X2,n1))
| ~ releases(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
fof(c_0_160,plain,
( ~ epred57_0
<=> ! [X3] : X3 != tapOn ),
introduced(definition) ).
cnf(c_0_161,plain,
( X2 = filling
| X2 = filling
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
fof(c_0_162,plain,
( ~ epred127_0
<=> ! [X1,X2] :
( epred31_0
| waterLevel(esk9_2(X1,X2)) = X2
| X1 != tapOn
| X2 != waterLevel(n3) ) ),
introduced(definition) ).
cnf(c_0_163,plain,
( waterLevel(esk9_2(X1,X2)) = X2
| X3 = tapOn
| X3 = overflow
| X1 != tapOn
| ~ epred1_3(X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_164,plain,
( X1 != tapOn
| X1 != tapOff ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_116]),c_0_147]) ).
cnf(c_0_165,plain,
( X1 = spilling
| X1 = filling
| holdsAt(X1,X2)
| ~ epred1_3(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_166,plain,
( epred1_3(X1,X2,X3)
| ~ initiates(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_167,plain,
( epred31_0
| epred1_3(X1,X2,n1)
| X1 != waterLevel(n3)
| X2 != overflow ),
inference(spm,[status(thm)],[c_0_112,c_0_137]) ).
cnf(c_0_168,plain,
~ epred111_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_150]),c_0_122]),c_0_153])]) ).
fof(c_0_169,plain,
( ~ epred124_0
<=> ! [X2] : X2 != overflow ),
introduced(definition) ).
fof(c_0_170,plain,
! [X14,X15,X14,X15] :
( ( ~ less_or_equal(X14,X15)
| less(X14,X15)
| X14 = X15 )
& ( ~ less(X14,X15)
| less_or_equal(X14,X15) )
& ( X14 != X15
| less_or_equal(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_or_equal])])])])]) ).
fof(c_0_171,plain,
! [X13,X13] :
( ( ~ less(X13,n2)
| less_or_equal(X13,n1) )
& ( ~ less_or_equal(X13,n1)
| less(X13,n2) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less2])])])]) ).
cnf(c_0_172,plain,
( X1 = tapOn
| X1 = overflow
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_173,plain,
( happens(esk1_3(X1,X2,X3),esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_174,plain,
( X1 = tapOff
| X1 = overflow
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_175,plain,
( terminates(esk1_3(X1,X2,X3),X2,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
fof(c_0_176,plain,
( ~ epred48_0
<=> ! [X3,X2] :
( ~ happens(X2,X3)
| X3 != n0
| X2 != overflow ) ),
introduced(definition) ).
cnf(c_0_177,plain,
( X1 != filling
| X2 != overflow
| ~ holdsAt(X1,plus(X3,n1))
| ~ happens(X2,X3) ),
inference(spm,[status(thm)],[c_0_91,c_0_155]) ).
cnf(c_0_178,plain,
epred47_0,
inference(er,[status(thm)],[c_0_156]) ).
cnf(c_0_179,plain,
( trajectory(filling,X1,waterLevel(X2),X3)
| X2 != plus(X4,X3)
| ~ holdsAt(waterLevel(X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_180,plain,
( holdsAt(X1,n2)
| X1 != waterLevel(n3) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_141]),c_0_158]) ).
fof(c_0_181,plain,
( ~ epred56_0
<=> ! [X1,X2] :
( releasedAt(waterLevel(X1),plus(X2,n1))
| X2 != n0 ) ),
introduced(definition) ).
cnf(c_0_182,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| X3 != tapOn
| ~ happens(X3,X2) ),
inference(spm,[status(thm)],[c_0_159,c_0_126]) ).
cnf(c_0_183,plain,
( epred57_0
| X1 != tapOn ),
inference(split_equiv,[status(thm)],[c_0_160]) ).
fof(c_0_184,plain,
( ~ epred137_0
<=> ! [X1] : X1 != tapOn ),
introduced(definition) ).
cnf(c_0_185,plain,
( waterLevel(esk9_2(esk8_2(X1,X2),X1)) = X1
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_125,c_0_55]) ).
cnf(c_0_186,plain,
( X2 = filling
| ~ terminates(X1,X2,X3) ),
inference(cn,[status(thm)],[c_0_161]) ).
cnf(c_0_187,plain,
( holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| terminates(esk5_2(X1,X2),X1,X2)
| ~ holdsAt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_188,plain,
~ epred127_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_152]),c_0_164]),c_0_162]),c_0_122]),c_0_153])]) ).
fof(c_0_189,plain,
( ~ epred134_0
<=> ! [X1] : X1 != tapOn ),
introduced(definition) ).
fof(c_0_190,plain,
( ~ epred123_0
<=> ! [X1] :
( holdsAt(X1,n1)
| epred31_0
| X1 != waterLevel(n3) ) ),
introduced(definition) ).
cnf(c_0_191,plain,
( X1 = filling
| X1 = spilling
| holdsAt(X1,X2)
| ~ initiates(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_192,plain,
( epred31_0
| initiates(X1,X2,n1)
| X2 != waterLevel(n3)
| X1 != overflow ),
inference(spm,[status(thm)],[c_0_40,c_0_167]) ).
cnf(c_0_193,plain,
( X1 = filling
| epred31_0
| X1 != waterLevel(n3)
| X1 != spilling ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_150]),c_0_168]) ).
cnf(c_0_194,plain,
( epred124_0
| X1 != overflow ),
inference(split_equiv,[status(thm)],[c_0_169]) ).
fof(c_0_195,plain,
! [X13] : filling != waterLevel(X13),
inference(variable_rename,[status(thm)],[filling_not_waterLevel]) ).
fof(c_0_196,plain,
( ~ epred132_0
<=> ! [X1] : X1 != tapOn ),
introduced(definition) ).
fof(c_0_197,plain,
! [X13,X13] :
( ( ~ less(X13,n3)
| less_or_equal(X13,n2) )
& ( ~ less_or_equal(X13,n2)
| less(X13,n3) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less3])])])]) ).
fof(c_0_198,plain,
! [X13,X13] :
( ( ~ less(X13,n1)
| less_or_equal(X13,n0) )
& ( ~ less_or_equal(X13,n0)
| less(X13,n1) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])])])]) ).
fof(c_0_199,plain,
! [X13] : ~ less(X13,n0),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])]) ).
cnf(c_0_200,plain,
( X1 = X2
| less(X1,X2)
| ~ less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_201,plain,
( less_or_equal(X1,n1)
| ~ less(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_171]) ).
fof(c_0_202,plain,
! [X14,X15,X14,X15] :
( ( ~ less(X15,X14)
| ~ less(X14,X15) )
& ( X15 != X14
| ~ less(X14,X15) )
& ( less(X15,X14)
| X15 = X14
| less(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[less_property])])])])])]) ).
cnf(c_0_203,plain,
( esk1_3(X1,X2,X3) = tapOn
| esk1_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_204,plain,
( esk1_3(X1,X2,X3) = overflow
| esk1_3(X1,X2,X3) = tapOff
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_205,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[tapOff_not_tapOn]) ).
fof(c_0_206,plain,
( ~ epred292_0
<=> ! [X1] :
( stoppedIn(n2,filling,n3)
| holdsAt(waterLevel(X1),n3)
| X1 != n4 ) ),
introduced(definition) ).
cnf(c_0_207,plain,
~ epred48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_68]),c_0_70]),c_0_140]),c_0_176]),c_0_178])]) ).
fof(c_0_208,plain,
( ~ epred53_0
<=> ! [X2] : X2 != overflow ),
introduced(definition) ).
cnf(c_0_209,plain,
( X1 = tapOn
| holdsAt(filling,X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_210,plain,
( trajectory(filling,n2,waterLevel(X1),X2)
| waterLevel(X3) != waterLevel(n3)
| X1 != plus(X3,X2) ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_211,plain,
( ~ epred57_0
| ~ epred56_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_50]),c_0_181]),c_0_160]) ).
cnf(c_0_212,plain,
epred57_0,
inference(er,[status(thm)],[c_0_183]) ).
fof(c_0_213,plain,
( ~ epred122_0
<=> ! [X1] :
( epred31_0
| ~ releasedAt(X1,n2)
| X1 != waterLevel(n3) ) ),
introduced(definition) ).
cnf(c_0_214,plain,
( ~ releasedAt(X1,plus(X2,n1))
| ~ happens(X3,X2)
| ~ terminates(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_215,hypothesis,
! [X10] : ~ releasedAt(waterLevel(X10),n0),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[not_released_waterLevel_0])]) ).
cnf(c_0_216,hypothesis,
( epred137_0
| X1 != tapOn ),
inference(split_equiv,[status(thm)],[c_0_184]) ).
cnf(c_0_217,plain,
( releasedAt(X1,X2)
| X1 != spilling
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_134,c_0_185]) ).
cnf(c_0_218,plain,
( X1 = filling
| releasedAt(X1,plus(X2,n1))
| holdsAt(X1,plus(X2,n1))
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
fof(c_0_219,plain,
( ~ epred133_0
<=> ! [X2] :
( epred31_0
| X2 != spilling
| X2 != waterLevel(n3) ) ),
introduced(definition) ).
cnf(c_0_220,plain,
( waterLevel(esk9_2(X1,X2)) = X2
| epred31_0
| X2 != waterLevel(n3)
| X1 != tapOn ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_162]),c_0_188]) ).
cnf(c_0_221,plain,
( epred134_0
| X1 != tapOn ),
inference(split_equiv,[status(thm)],[c_0_189]) ).
cnf(c_0_222,plain,
( ~ epred124_0
| ~ epred123_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]),c_0_97]),c_0_190]),c_0_169]) ).
cnf(c_0_223,plain,
epred124_0,
inference(er,[status(thm)],[c_0_194]) ).
fof(c_0_224,plain,
( ~ epred131_0
<=> ! [X2] :
( epred31_0
| X2 != filling
| X2 != waterLevel(n3) ) ),
introduced(definition) ).
cnf(c_0_225,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
cnf(c_0_226,plain,
( epred132_0
| X1 != tapOn ),
inference(split_equiv,[status(thm)],[c_0_196]) ).
cnf(c_0_227,plain,
( less_or_equal(X1,n2)
| ~ less(X1,n3) ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_228,plain,
( less_or_equal(X1,n0)
| ~ less(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_229,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_230,plain,
( X1 = n1
| less(X1,n1)
| ~ less(X1,n2) ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_231,plain,
( less(X1,X2)
| X2 = X1
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_232,plain,
( esk1_3(X1,X2,X3) = tapOn
| holdsAt(waterLevel(n3),esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_107,c_0_173]) ).
cnf(c_0_233,plain,
( esk1_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_205]),c_0_139]) ).
cnf(c_0_234,plain,
( epred292_0
| holdsAt(waterLevel(X1),n3)
| stoppedIn(n2,filling,n3)
| X1 != n4 ),
inference(split_equiv,[status(thm)],[c_0_206]) ).
fof(c_0_235,plain,
( ~ epred49_0
<=> ! [X1] :
( ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1)
| X1 != n0 ) ),
introduced(definition) ).
cnf(c_0_236,plain,
( X1 != n0
| X2 != overflow
| ~ happens(X2,X1) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_176]),c_0_207]) ).
cnf(c_0_237,plain,
( happens(X1,X2)
| X1 != overflow
| ~ holdsAt(filling,X2)
| ~ holdsAt(waterLevel(n3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_238,plain,
( epred53_0
| X1 != overflow ),
inference(split_equiv,[status(thm)],[c_0_208]) ).
cnf(c_0_239,plain,
( esk1_3(X1,X2,X3) = tapOn
| holdsAt(filling,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_209,c_0_173]) ).
cnf(c_0_240,plain,
( trajectory(filling,n2,waterLevel(X1),X2)
| waterLevel(X3) != waterLevel(n3)
| X1 != plus(X2,X3) ),
inference(spm,[status(thm)],[c_0_210,c_0_73]) ).
cnf(c_0_241,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
fof(c_0_242,plain,
( ~ epred159_0
<=> ! [X1] :
( ~ releasedAt(X1,n2)
| X1 != waterLevel(n3) ) ),
introduced(definition) ).
cnf(c_0_243,plain,
~ epred56_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_212])]) ).
cnf(c_0_244,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[plus1_2]) ).
cnf(c_0_245,plain,
( ~ epred122_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_192]),c_0_69]),c_0_213]),c_0_114]) ).
cnf(c_0_246,plain,
( epred31_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_124,c_0_121]) ).
cnf(c_0_247,plain,
( X1 != filling
| X2 != overflow
| ~ releasedAt(X1,plus(X3,n1))
| ~ happens(X2,X3) ),
inference(spm,[status(thm)],[c_0_214,c_0_155]) ).
fof(c_0_248,plain,
( ~ epred136_0
<=> ! [X2] :
( epred31_0
| ~ releasedAt(X2,n0)
| X2 != waterLevel(n3) ) ),
introduced(definition) ).
cnf(c_0_249,hypothesis,
~ releasedAt(waterLevel(X1),n0),
inference(split_conjunct,[status(thm)],[c_0_215]) ).
cnf(c_0_250,hypothesis,
epred137_0,
inference(er,[status(thm)],[c_0_216]) ).
cnf(c_0_251,plain,
( releasedAt(X1,n1)
| X1 != spilling
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_217,c_0_69]) ).
cnf(c_0_252,plain,
( X1 = filling
| releasedAt(X1,n2)
| holdsAt(X1,n2)
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[c_0_218,c_0_69]) ).
cnf(c_0_253,plain,
( ~ epred134_0
| ~ epred133_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_220]),c_0_219]),c_0_189]) ).
cnf(c_0_254,plain,
epred134_0,
inference(er,[status(thm)],[c_0_221]) ).
cnf(c_0_255,plain,
~ epred123_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_223])]) ).
cnf(c_0_256,plain,
( ~ epred132_0
| ~ epred131_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_220]),c_0_224]),c_0_196]) ).
cnf(c_0_257,plain,
epred132_0,
inference(er,[status(thm)],[c_0_226]) ).
cnf(c_0_258,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_259,plain,
( X1 = n2
| less(X1,n2)
| ~ less(X1,n3) ),
inference(spm,[status(thm)],[c_0_200,c_0_227]) ).
cnf(c_0_260,plain,
( X1 = n0
| ~ less(X1,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_228]),c_0_229]) ).
cnf(c_0_261,plain,
( X1 = n2
| X1 = n1
| less(n2,X1)
| less(X1,n1) ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_262,plain,
( holdsAt(waterLevel(n3),esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_65]) ).
cnf(c_0_263,plain,
( epred292_0
| holdsAt(waterLevel(n4),n3)
| stoppedIn(n2,filling,n3) ),
inference(er,[status(thm)],[c_0_234]) ).
cnf(c_0_264,plain,
( ~ epred53_0
| ~ epred49_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_235]),c_0_208]) ).
cnf(c_0_265,plain,
epred53_0,
inference(er,[status(thm)],[c_0_238]) ).
cnf(c_0_266,plain,
( holdsAt(filling,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_233]),c_0_65]) ).
fof(c_0_267,plain,
! [X8,X9,X10,X11,X12] :
( ~ happens(X8,X9)
| ~ initiates(X8,X10,X9)
| ~ less(n0,X12)
| ~ trajectory(X10,X9,X11,X12)
| stoppedIn(X9,X10,plus(X9,X12))
| holdsAt(X11,plus(X9,X12)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[change_holding])])]) ).
cnf(c_0_268,plain,
( trajectory(filling,n2,waterLevel(plus(X1,X2)),X1)
| waterLevel(X2) != waterLevel(n3) ),
inference(er,[status(thm)],[c_0_240]) ).
cnf(c_0_269,plain,
plus(n1,n3) = n4,
inference(split_conjunct,[status(thm)],[plus1_3]) ).
cnf(c_0_270,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_271,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_241]) ).
cnf(c_0_272,plain,
~ epred159_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_142]),c_0_69]),c_0_242]),c_0_114]),c_0_143])]) ).
cnf(c_0_273,plain,
( releasedAt(X1,X2)
| happens(tapOn,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_64]) ).
cnf(c_0_274,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| X2 != n0 ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_181]),c_0_243]) ).
cnf(c_0_275,plain,
( epred122_0
| epred31_0
| X1 != waterLevel(n3)
| ~ releasedAt(X1,n2) ),
inference(split_equiv,[status(thm)],[c_0_213]) ).
cnf(c_0_276,plain,
( n2 = n0
| releasedAt(X1,n2)
| ~ releasedAt(X1,n3) ),
inference(spm,[status(thm)],[c_0_85,c_0_244]) ).
cnf(c_0_277,plain,
( epred31_0
| ~ epred122_0 ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_278,plain,
( X1 = filling
| releasedAt(X1,plus(n1,X2))
| holdsAt(X1,plus(n1,X2))
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[c_0_218,c_0_73]) ).
cnf(c_0_279,plain,
( ~ epred31_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_69]),c_0_101]),c_0_114]) ).
cnf(c_0_280,hypothesis,
~ epred136_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_220]),c_0_248]),c_0_184]),c_0_250])]) ).
cnf(c_0_281,plain,
( releasedAt(X1,n0)
| X1 != spilling
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[c_0_217,c_0_80]) ).
cnf(c_0_282,plain,
( X1 = filling
| releasedAt(X1,n1)
| holdsAt(X1,n2)
| X1 != spilling
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_283,plain,
~ epred133_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_254])]) ).
cnf(c_0_284,plain,
( epred31_0
| holdsAt(X1,n1)
| X1 != waterLevel(n3) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_190]),c_0_255]) ).
cnf(c_0_285,plain,
~ epred131_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_257])]) ).
cnf(c_0_286,plain,
( X1 = n2
| ~ less(n2,X1)
| ~ less(X1,n3) ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_287,plain,
( X1 = n1
| X1 = n2
| X1 = n0
| less(n2,X1) ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_288,plain,
( less(esk2_3(X1,X2,X3),X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_289,plain,
( epred49_0
| X1 != n0
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1) ),
inference(split_equiv,[status(thm)],[c_0_235]) ).
cnf(c_0_290,plain,
( epred292_0
| holdsAt(waterLevel(n3),esk2_3(n2,filling,n3))
| holdsAt(waterLevel(n4),n3) ),
inference(spm,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_291,plain,
~ epred49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_265])]) ).
cnf(c_0_292,plain,
( epred292_0
| holdsAt(filling,esk2_3(n2,filling,n3))
| holdsAt(waterLevel(n4),n3) ),
inference(spm,[status(thm)],[c_0_266,c_0_263]) ).
cnf(c_0_293,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)],[c_0_267]) ).
cnf(c_0_294,plain,
trajectory(filling,n2,waterLevel(n4),n1),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_295,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_296,plain,
( X1 != waterLevel(n3)
| ~ releasedAt(X1,n2) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_242]),c_0_272]) ).
cnf(c_0_297,plain,
( releasedAt(waterLevel(X1),X2)
| happens(tapOn,X2)
| X2 != n0 ),
inference(spm,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_298,plain,
( n2 = n0
| epred31_0
| X1 != waterLevel(n3)
| ~ releasedAt(X1,n3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277]) ).
cnf(c_0_299,plain,
( X1 = filling
| releasedAt(X1,n3)
| holdsAt(X1,n3)
| ~ holdsAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_278,c_0_244]) ).
cnf(c_0_300,plain,
~ epred31_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_279,c_0_143])]) ).
cnf(c_0_301,hypothesis,
( epred31_0
| X1 != waterLevel(n3)
| ~ releasedAt(X1,n0) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_248]),c_0_280]) ).
cnf(c_0_302,plain,
( X1 = filling
| releasedAt(X1,n0)
| holdsAt(X1,n2)
| X1 != spilling
| ~ holdsAt(X1,n1) ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_303,plain,
( epred31_0
| X1 != waterLevel(n3)
| X1 != spilling ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_219]),c_0_283]) ).
cnf(c_0_304,plain,
( X1 = filling
| epred31_0
| holdsAt(X1,n2)
| X1 != waterLevel(n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_252]),c_0_284]),c_0_277]) ).
cnf(c_0_305,plain,
( epred31_0
| X1 != waterLevel(n3)
| X1 != filling ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_224]),c_0_285]) ).
cnf(c_0_306,plain,
( X1 = n0
| X1 = n1
| X1 = n2
| ~ less(X1,n3) ),
inference(spm,[status(thm)],[c_0_286,c_0_287]) ).
cnf(c_0_307,plain,
( epred292_0
| holdsAt(waterLevel(n4),n3)
| less(esk2_3(n2,filling,n3),n3) ),
inference(spm,[status(thm)],[c_0_288,c_0_263]) ).
cnf(c_0_308,plain,
( epred292_0
| holdsAt(waterLevel(n4),n3)
| esk2_3(n2,filling,n3) != n0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_291]),c_0_292]) ).
cnf(c_0_309,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_171]) ).
fof(c_0_310,plain,
( ~ epred293_0
<=> ! [X2] :
( ~ happens(X2,n2)
| ~ initiates(X2,filling,n2) ) ),
introduced(definition) ).
cnf(c_0_311,plain,
( holdsAt(waterLevel(n4),n3)
| stoppedIn(n2,filling,n3)
| ~ initiates(X1,filling,n2)
| ~ happens(X1,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_73]),c_0_244]),c_0_73]),c_0_244]),c_0_295])]) ).
cnf(c_0_312,plain,
( happens(tapOn,n2)
| waterLevel(X1) != waterLevel(n3)
| n2 != n0 ),
inference(spm,[status(thm)],[c_0_296,c_0_297]) ).
fof(c_0_313,plain,
! [X12,X13,X14] :
( ~ holdsAt(waterLevel(X13),X12)
| ~ holdsAt(waterLevel(X14),X12)
| X13 = X14 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[same_waterLevel])]) ).
cnf(c_0_314,plain,
( n2 = n0
| X1 = filling
| holdsAt(X1,n3)
| X1 != waterLevel(n3)
| ~ holdsAt(X1,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_300]) ).
cnf(c_0_315,hypothesis,
( epred31_0
| holdsAt(X1,n2)
| X1 != waterLevel(n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_303]),c_0_304]),c_0_305]) ).
cnf(c_0_316,plain,
( less(X1,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_317,plain,
( esk2_3(n2,filling,n3) = n2
| esk2_3(n2,filling,n3) = n1
| epred292_0
| holdsAt(waterLevel(n4),n3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_308]) ).
cnf(c_0_318,plain,
less(n1,n2),
inference(spm,[status(thm)],[c_0_309,c_0_271]) ).
cnf(c_0_319,plain,
( epred293_0
| ~ initiates(X1,filling,n2)
| ~ happens(X1,n2) ),
inference(split_equiv,[status(thm)],[c_0_310]) ).
cnf(c_0_320,plain,
( holdsAt(waterLevel(n4),n3)
| stoppedIn(n2,filling,n3)
| X1 != tapOn
| ~ happens(X1,n2) ),
inference(spm,[status(thm)],[c_0_311,c_0_43]) ).
cnf(c_0_321,plain,
( happens(tapOn,n2)
| n2 != n0 ),
inference(er,[status(thm)],[c_0_312]) ).
cnf(c_0_322,plain,
( X1 = X2
| ~ holdsAt(waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_313]) ).
cnf(c_0_323,hypothesis,
( n2 = n0
| X1 = filling
| holdsAt(X1,n3)
| X1 != waterLevel(n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_300]) ).
cnf(c_0_324,plain,
( epred292_0
| holdsAt(waterLevel(n4),n3)
| less(n2,esk2_3(n2,filling,n3)) ),
inference(spm,[status(thm)],[c_0_316,c_0_263]) ).
cnf(c_0_325,plain,
( esk2_3(n2,filling,n3) = n1
| epred292_0
| holdsAt(waterLevel(n4),n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_317]),c_0_76]) ).
cnf(c_0_326,plain,
~ less(n2,n1),
inference(spm,[status(thm)],[c_0_258,c_0_318]) ).
fof(c_0_327,plain,
( ~ epred75_0
<=> ! [X3] :
( ~ happens(X3,n0)
| ~ initiates(X3,filling,n0) ) ),
introduced(definition) ).
cnf(c_0_328,plain,
( epred293_0
| X1 != tapOn
| ~ happens(X1,n2) ),
inference(spm,[status(thm)],[c_0_319,c_0_43]) ).
fof(c_0_329,plain,
( ~ epred13_0
<=> ! [X1] :
( ~ holdsAt(X1,n2)
| X1 != filling ) ),
introduced(definition) ).
cnf(c_0_330,plain,
( holdsAt(waterLevel(n4),n3)
| stoppedIn(n2,filling,n3)
| n2 != n0 ),
inference(spm,[status(thm)],[c_0_320,c_0_321]) ).
fof(c_0_331,plain,
! [X13,X13] :
( ( ~ less(X13,n4)
| less_or_equal(X13,n3) )
& ( ~ less_or_equal(X13,n3)
| less(X13,n4) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less4])])])]) ).
cnf(c_0_332,hypothesis,
( n2 = n0
| X1 = X2
| waterLevel(X2) != waterLevel(n3)
| ~ holdsAt(waterLevel(X1),n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_225]) ).
cnf(c_0_333,plain,
( epred292_0
| holdsAt(waterLevel(n4),n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_326]) ).
cnf(c_0_334,hypothesis,
( epred75_0
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(split_equiv,[status(thm)],[c_0_327]) ).
cnf(c_0_335,plain,
( epred293_0
| releasedAt(X1,n2)
| esk8_2(X1,n2) != tapOn
| ~ releasedAt(X1,n3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_53]),c_0_73]),c_0_244]) ).
cnf(c_0_336,plain,
( ~ epred14_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_69]),c_0_329]),c_0_114]) ).
cnf(c_0_337,plain,
( holdsAt(waterLevel(n3),esk2_3(n2,filling,n3))
| holdsAt(waterLevel(n4),n3)
| n2 != n0 ),
inference(spm,[status(thm)],[c_0_262,c_0_330]) ).
cnf(c_0_338,plain,
( holdsAt(filling,esk2_3(n2,filling,n3))
| holdsAt(waterLevel(n4),n3)
| n2 != n0 ),
inference(spm,[status(thm)],[c_0_266,c_0_330]) ).
cnf(c_0_339,plain,
( less(X1,n4)
| ~ less_or_equal(X1,n3) ),
inference(split_conjunct,[status(thm)],[c_0_331]) ).
cnf(c_0_340,hypothesis,
( n2 = n0
| n4 = X1
| epred292_0
| waterLevel(X1) != waterLevel(n3) ),
inference(spm,[status(thm)],[c_0_332,c_0_333]) ).
cnf(c_0_341,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_342,hypothesis,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[waterLevel_0]) ).
cnf(c_0_343,plain,
( epred75_0
| X1 != tapOn
| ~ happens(X1,n0) ),
inference(spm,[status(thm)],[c_0_334,c_0_43]) ).
cnf(c_0_344,plain,
( epred293_0
| releasedAt(X1,n2)
| ~ releasedAt(X1,n3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_64]),c_0_73]),c_0_244])]) ).
cnf(c_0_345,plain,
( epred13_0
| X1 != filling
| ~ holdsAt(X1,n2) ),
inference(split_equiv,[status(thm)],[c_0_329]) ).
cnf(c_0_346,plain,
~ epred13_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_336,c_0_143])]) ).
cnf(c_0_347,plain,
( holdsAt(waterLevel(n4),n3)
| less(esk2_3(n2,filling,n3),n3)
| n2 != n0 ),
inference(spm,[status(thm)],[c_0_288,c_0_330]) ).
cnf(c_0_348,plain,
( holdsAt(waterLevel(n4),n3)
| esk2_3(n2,filling,n3) != n0
| n2 != n0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_337]),c_0_291]),c_0_338]) ).
cnf(c_0_349,plain,
less(n3,n4),
inference(spm,[status(thm)],[c_0_339,c_0_271]) ).
cnf(c_0_350,hypothesis,
( n4 = n3
| n2 = n0
| epred292_0 ),
inference(er,[status(thm)],[c_0_340]) ).
cnf(c_0_351,plain,
~ less(X1,X1),
inference(er,[status(thm)],[c_0_341]) ).
fof(c_0_352,plain,
( ~ epred74_0
<=> ! [X2,X1] :
( stoppedIn(n0,filling,plus(n0,X2))
| holdsAt(waterLevel(X1),plus(n0,X2))
| ~ less(n0,X2)
| X1 != plus(n0,X2) ) ),
introduced(definition) ).
cnf(c_0_353,hypothesis,
( trajectory(filling,n0,waterLevel(X1),X2)
| X1 != plus(n0,X2) ),
inference(spm,[status(thm)],[c_0_179,c_0_342]) ).
cnf(c_0_354,plain,
( epred75_0
| X1 != tapOn ),
inference(spm,[status(thm)],[c_0_343,c_0_50]) ).
cnf(c_0_355,plain,
( epred293_0
| X1 != waterLevel(n3)
| ~ releasedAt(X1,n3) ),
inference(spm,[status(thm)],[c_0_296,c_0_344]) ).
cnf(c_0_356,plain,
( X1 != waterLevel(n3)
| X1 != filling ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_180]),c_0_346]) ).
cnf(c_0_357,plain,
( holdsAt(waterLevel(n4),n3)
| less(n2,esk2_3(n2,filling,n3))
| n2 != n0 ),
inference(spm,[status(thm)],[c_0_316,c_0_330]) ).
cnf(c_0_358,plain,
( esk2_3(n2,filling,n3) = n2
| esk2_3(n2,filling,n3) = n1
| holdsAt(waterLevel(n4),n3)
| n2 != n0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_347]),c_0_348]) ).
cnf(c_0_359,plain,
( trajectory(filling,n2,waterLevel(X1),n1)
| X1 != n4 ),
inference(spm,[status(thm)],[c_0_240,c_0_269]) ).
cnf(c_0_360,hypothesis,
( n2 = n0
| epred292_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_351]) ).
cnf(c_0_361,hypothesis,
( ~ epred75_0
| ~ epred74_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_353]),c_0_352]),c_0_327]) ).
cnf(c_0_362,plain,
epred75_0,
inference(er,[status(thm)],[c_0_354]) ).
fof(c_0_363,plain,
! [X6,X7] :
( ( happens(esk6_2(X6,X7),X7)
| holdsAt(X6,X7)
| releasedAt(X6,plus(X7,n1))
| ~ holdsAt(X6,plus(X7,n1)) )
& ( initiates(esk6_2(X6,X7),X6,X7)
| holdsAt(X6,X7)
| releasedAt(X6,plus(X7,n1))
| ~ holdsAt(X6,plus(X7,n1)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[keep_not_holding])])])])])])]) ).
cnf(c_0_364,plain,
( epred293_0
| holdsAt(X1,n3)
| X1 != waterLevel(n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_299]),c_0_180]),c_0_356]) ).
cnf(c_0_365,plain,
( esk2_3(n2,filling,n3) = n1
| holdsAt(waterLevel(n4),n3)
| n2 != n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_358]),c_0_351]) ).
cnf(c_0_366,plain,
( ~ epred293_0
| ~ epred292_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_359]),c_0_73]),c_0_244]),c_0_73]),c_0_244]),c_0_295])]),c_0_206]),c_0_310]) ).
cnf(c_0_367,hypothesis,
epred292_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_360]),c_0_229]) ).
cnf(c_0_368,hypothesis,
~ epred74_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_361,c_0_362])]) ).
cnf(c_0_369,plain,
( releasedAt(X1,X2)
| X1 != filling
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_225,c_0_185]) ).
cnf(c_0_370,plain,
( X2 = n0
| holdsAt(filling,X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_371,plain,
( releasedAt(X1,plus(X2,n1))
| holdsAt(X1,X2)
| happens(esk6_2(X1,X2),X2)
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_363]) ).
cnf(c_0_372,plain,
( X1 = X2
| epred293_0
| waterLevel(X2) != waterLevel(n3)
| ~ holdsAt(waterLevel(X1),n3) ),
inference(spm,[status(thm)],[c_0_322,c_0_364]) ).
cnf(c_0_373,plain,
( holdsAt(waterLevel(n4),n3)
| n2 != n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_365]),c_0_326]) ).
cnf(c_0_374,plain,
~ epred293_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_366,c_0_367])]) ).
cnf(c_0_375,hypothesis,
( holdsAt(waterLevel(X1),plus(n0,X2))
| stoppedIn(n0,filling,plus(n0,X2))
| X1 != plus(n0,X2)
| ~ less(n0,X2) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_352]),c_0_368]) ).
cnf(c_0_376,plain,
( releasedAt(X1,X2)
| X1 != filling
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_369,c_0_73]) ).
cnf(c_0_377,plain,
( X1 = n0
| releasedAt(X2,plus(X1,n1))
| holdsAt(filling,X1)
| holdsAt(X2,X1)
| ~ holdsAt(X2,plus(X1,n1)) ),
inference(spm,[status(thm)],[c_0_370,c_0_371]) ).
cnf(c_0_378,plain,
( n4 = X1
| waterLevel(X1) != waterLevel(n3)
| n2 != n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_373]),c_0_374]) ).
cnf(c_0_379,hypothesis,
( holdsAt(waterLevel(X1),n1)
| stoppedIn(n0,filling,n1)
| X1 != n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_80]),c_0_295])]) ).
cnf(c_0_380,plain,
( releasedAt(X1,n1)
| X1 != filling
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_369,c_0_69]) ).
cnf(c_0_381,plain,
( releasedAt(X1,n2)
| X1 != filling
| ~ releasedAt(X1,n3) ),
inference(spm,[status(thm)],[c_0_376,c_0_244]) ).
cnf(c_0_382,plain,
( X1 = n0
| releasedAt(X2,plus(n1,X1))
| holdsAt(filling,X1)
| holdsAt(X2,X1)
| ~ holdsAt(X2,plus(n1,X1)) ),
inference(spm,[status(thm)],[c_0_377,c_0_73]) ).
cnf(c_0_383,plain,
( n4 = n3
| n2 != n0 ),
inference(er,[status(thm)],[c_0_378]) ).
cnf(c_0_384,hypothesis,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1) ),
inference(er,[status(thm)],[c_0_379]) ).
cnf(c_0_385,plain,
( releasedAt(X1,n1)
| X1 != filling
| ~ releasedAt(X1,n3) ),
inference(spm,[status(thm)],[c_0_380,c_0_381]) ).
cnf(c_0_386,plain,
( n2 = n0
| releasedAt(X1,n3)
| holdsAt(X1,n2)
| ~ holdsAt(X1,n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_244]),c_0_76]) ).
cnf(c_0_387,plain,
n2 != n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_383]),c_0_351]) ).
cnf(c_0_388,hypothesis,
( holdsAt(waterLevel(n3),esk2_3(n0,filling,n1))
| holdsAt(waterLevel(n1),n1) ),
inference(spm,[status(thm)],[c_0_262,c_0_384]) ).
cnf(c_0_389,hypothesis,
( holdsAt(filling,esk2_3(n0,filling,n1))
| holdsAt(waterLevel(n1),n1) ),
inference(spm,[status(thm)],[c_0_266,c_0_384]) ).
cnf(c_0_390,plain,
( X1 = n0
| releasedAt(X2,plus(X1,n1))
| holdsAt(X2,plus(X1,n1))
| holdsAt(filling,X1)
| ~ holdsAt(X2,X1) ),
inference(spm,[status(thm)],[c_0_370,c_0_66]) ).
cnf(c_0_391,plain,
( releasedAt(X1,n1)
| holdsAt(X1,n2)
| X1 != filling
| ~ holdsAt(X1,n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_387]) ).
cnf(c_0_392,hypothesis,
( holdsAt(waterLevel(n1),n1)
| less(esk2_3(n0,filling,n1),n1) ),
inference(spm,[status(thm)],[c_0_288,c_0_384]) ).
cnf(c_0_393,plain,
( holdsAt(waterLevel(n1),n1)
| esk2_3(n0,filling,n1) != n0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_388]),c_0_291]),c_0_389]) ).
cnf(c_0_394,plain,
( releasedAt(X1,n1)
| holdsAt(filling,n1)
| holdsAt(X1,n2)
| ~ holdsAt(X1,n1) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_390]),c_0_69]),c_0_87]) ).
cnf(c_0_395,plain,
( holdsAt(X1,n2)
| X1 != filling
| ~ holdsAt(X1,n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_391]),c_0_96]) ).
cnf(c_0_396,plain,
( X1 = n3
| ~ holdsAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[c_0_322,c_0_113]) ).
cnf(c_0_397,hypothesis,
holdsAt(waterLevel(n1),n1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_392]),c_0_393]) ).
cnf(c_0_398,plain,
( holdsAt(filling,n1)
| holdsAt(X1,n2)
| X1 != filling ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_394]),c_0_96]),c_0_97]) ).
cnf(c_0_399,negated_conjecture,
~ holdsAt(filling,n3),
inference(spm,[status(thm)],[c_0_76,c_0_395]) ).
cnf(c_0_400,hypothesis,
n3 = n1,
inference(spm,[status(thm)],[c_0_396,c_0_397]) ).
cnf(c_0_401,plain,
holdsAt(filling,n1),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_398]),c_0_76]) ).
cnf(c_0_402,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_399,c_0_400]),c_0_401])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR009+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 10 17:10:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.26/5.44 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.26/5.44 # Preprocessing time : 0.019 s
% 0.26/5.44
% 0.26/5.44 # Proof found!
% 0.26/5.44 # SZS status Theorem
% 0.26/5.44 # SZS output start CNFRefutation
% See solution above
% 0.26/5.44 # Proof object total steps : 403
% 0.26/5.44 # Proof object clause steps : 302
% 0.26/5.44 # Proof object formula steps : 101
% 0.26/5.44 # Proof object conjectures : 7
% 0.26/5.44 # Proof object clause conjectures : 4
% 0.26/5.44 # Proof object formula conjectures : 3
% 0.26/5.44 # Proof object initial clauses used : 89
% 0.26/5.44 # Proof object initial formulas used : 35
% 0.26/5.44 # Proof object generating inferences : 181
% 0.26/5.44 # Proof object simplifying inferences : 182
% 0.26/5.44 # Training examples: 0 positive, 0 negative
% 0.26/5.44 # Parsed axioms : 55
% 0.26/5.44 # Removed by relevancy pruning/SinE : 0
% 0.26/5.44 # Initial clauses : 137
% 0.26/5.44 # Removed in clause preprocessing : 1
% 0.26/5.44 # Initial clauses in saturation : 136
% 0.26/5.44 # Processed clauses : 10507
% 0.26/5.44 # ...of these trivial : 71
% 0.26/5.44 # ...subsumed : 6203
% 0.26/5.44 # ...remaining for further processing : 4233
% 0.26/5.44 # Other redundant clauses eliminated : 1241
% 0.26/5.44 # Clauses deleted for lack of memory : 0
% 0.26/5.44 # Backward-subsumed : 480
% 0.26/5.44 # Backward-rewritten : 920
% 0.26/5.44 # Generated clauses : 162635
% 0.26/5.44 # ...of the previous two non-trivial : 147768
% 0.26/5.44 # Contextual simplify-reflections : 8922
% 0.26/5.44 # Paramodulations : 160153
% 0.26/5.44 # Factorizations : 20
% 0.26/5.44 # Equation resolutions : 1591
% 0.26/5.44 # Current number of processed clauses : 2381
% 0.26/5.44 # Positive orientable unit clauses : 165
% 0.26/5.44 # Positive unorientable unit clauses: 1
% 0.26/5.44 # Negative unit clauses : 192
% 0.26/5.44 # Non-unit-clauses : 2023
% 0.26/5.44 # Current number of unprocessed clauses: 85574
% 0.26/5.44 # ...number of literals in the above : 1007892
% 0.26/5.44 # Current number of archived formulas : 0
% 0.26/5.44 # Current number of archived clauses : 1407
% 0.26/5.44 # Clause-clause subsumption calls (NU) : 4985276
% 0.26/5.44 # Rec. Clause-clause subsumption calls : 813809
% 0.26/5.44 # Non-unit clause-clause subsumptions : 14766
% 0.26/5.44 # Unit Clause-clause subsumption calls : 228655
% 0.26/5.44 # Rewrite failures with RHS unbound : 0
% 0.26/5.44 # BW rewrite match attempts : 278
% 0.26/5.44 # BW rewrite match successes : 166
% 0.26/5.44 # Condensation attempts : 0
% 0.26/5.44 # Condensation successes : 0
% 0.26/5.44 # Termbank termtop insertions : 3427262
% 0.26/5.44
% 0.26/5.44 # -------------------------------------------------
% 0.26/5.44 # User time : 3.988 s
% 0.26/5.44 # System time : 0.095 s
% 0.26/5.44 # Total time : 4.083 s
% 0.26/5.44 # Maximum resident set size: 124104 pages
% 0.26/23.40 eprover: CPU time limit exceeded, terminating
% 0.26/23.41 eprover: CPU time limit exceeded, terminating
% 0.26/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.42 eprover: No such file or directory
% 0.26/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.42 eprover: No such file or directory
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------