%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR001+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:15:51 PM UTC 2026
% Result : Theorem 51.73s 17.92s
% Output : CNFRefutation 51.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 66
% Syntax : Number of formulae : 572 ( 139 unt; 0 def)
% Number of atoms : 1798 ( 617 equ)
% Maximal formula atoms : 194 ( 3 avg)
% Number of connectives : 2072 ( 846 ~;1036 |; 137 &)
% ( 37 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 18 prp; 0-4 aty)
% Number of functors : 27 ( 27 usr; 15 con; 0-3 aty)
% Number of variables : 789 ( 64 sgn 202 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(initiates_all_defn,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> ( ? [X9] :
( X2 = waterLevel(X9)
& X4 = overflow
& holdsAt(waterLevel(X9),X5) )
| ? [X9] :
( X2 = waterLevel(X9)
& X4 = tapOff
& holdsAt(waterLevel(X9),X5) )
| ( X2 = spilling
& X4 = overflow )
| ( X2 = filling
& X4 = tapOn ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).
fof(waterLevel_0,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).
fof(tapOff_not_tapOn,axiom,
tapOff != tapOn,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',tapOff_not_tapOn) ).
fof(tapOff_not_overflow,axiom,
tapOff != overflow,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',tapOff_not_overflow) ).
fof(happens_holds,axiom,
! [X4,X5,X2] :
( ( initiates(X4,X2,X5)
& happens(X4,X5) )
=> holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_holds) ).
fof(keep_not_released,axiom,
! [X2,X5] :
( ( ~ ? [X4] :
( releases(X4,X2,X5)
& happens(X4,X5) )
& ~ releasedAt(X2,X5) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).
fof(happens_not_released,axiom,
! [X4,X5,X2] :
( ( ( terminates(X4,X2,X5)
| initiates(X4,X2,X5) )
& happens(X4,X5) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_not_released) ).
fof(change_of_waterLevel,axiom,
! [X10,X5,X11,X7] :
( ( X11 = plus(X10,X7)
& holdsAt(waterLevel(X10),X5) )
=> trajectory(filling,X5,waterLevel(X11),X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).
fof(releases_all_defn,axiom,
! [X4,X2,X5] :
( releases(X4,X2,X5)
<=> ? [X9] :
( X2 = waterLevel(X9)
& X4 = tapOn ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',releases_all_defn) ).
fof(happens_all_defn,axiom,
! [X4,X5] :
( happens(X4,X5)
<=> ( ( X4 = overflow
& holdsAt(filling,X5)
& holdsAt(waterLevel(n3),X5) )
| ( X5 = n0
& X4 = tapOn ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
fof(overflow_not_tapOn,axiom,
overflow != tapOn,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',overflow_not_tapOn) ).
fof(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(less_or_equal,axiom,
! [X12,X13] :
( less_or_equal(X12,X13)
<=> ( X12 = X13
| less(X12,X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
fof(less1,axiom,
! [X12] :
( less(X12,n1)
<=> less_or_equal(X12,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
fof(less0,axiom,
~ ? [X12] : less(X12,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
fof(happens_releases,axiom,
! [X4,X5,X2] :
( ( releases(X4,X2,X5)
& happens(X4,X5) )
=> releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_releases) ).
fof(keep_holding,axiom,
! [X2,X5] :
( ( ~ ? [X4] :
( terminates(X4,X2,X5)
& happens(X4,X5) )
& ~ releasedAt(X2,plus(X5,n1))
& holdsAt(X2,X5) )
=> holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_holding) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(stoppedin_defn,axiom,
! [X1,X2,X3] :
( stoppedIn(X1,X2,X3)
<=> ? [X4,X5] :
( terminates(X4,X2,X5)
& less(X5,X3)
& less(X1,X5)
& happens(X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
fof(change_holding,axiom,
! [X4,X5,X2,X6,X7] :
( ( ~ stoppedIn(X5,X2,plus(X5,X7))
& trajectory(X2,X5,X6,X7)
& less(n0,X7)
& initiates(X4,X2,X5)
& happens(X4,X5) )
=> holdsAt(X6,plus(X5,X7)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',change_holding) ).
fof(not_released_waterLevel_0,hypothesis,
! [X9] : ~ releasedAt(waterLevel(X9),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_released_waterLevel_0) ).
fof(plus1_1,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
fof(happens_terminates_not_holds,axiom,
! [X4,X5,X2] :
( ( terminates(X4,X2,X5)
& happens(X4,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).
fof(same_waterLevel,axiom,
! [X5,X10,X11] :
( ( holdsAt(waterLevel(X11),X5)
& holdsAt(waterLevel(X10),X5) )
=> X10 = X11 ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',same_waterLevel) ).
fof(terminates_all_defn,axiom,
! [X4,X2,X5] :
( terminates(X4,X2,X5)
<=> ( ( X2 = filling
& X4 = overflow )
| ( X2 = filling
& X4 = tapOff ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',terminates_all_defn) ).
fof(less_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( X13 != X12
& ~ less(X13,X12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(less2,axiom,
! [X12] :
( less(X12,n2)
<=> less_or_equal(X12,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
fof(less3,axiom,
! [X12] :
( less(X12,n3)
<=> less_or_equal(X12,n2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
fof(filling_not_waterLevel,axiom,
! [X12] : filling != waterLevel(X12),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).
fof(spilling_not_waterLevel,axiom,
! [X12] : spilling != waterLevel(X12),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',spilling_not_waterLevel) ).
fof(keep_not_holding,axiom,
! [X2,X5] :
( ( ~ ? [X4] :
( initiates(X4,X2,X5)
& happens(X4,X5) )
& ~ releasedAt(X2,plus(X5,n1))
& ~ holdsAt(X2,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_not_holding) ).
fof(not_released_filling_0,hypothesis,
~ releasedAt(filling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_released_filling_0) ).
fof(not_released_spilling_0,hypothesis,
~ releasedAt(spilling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_released_spilling_0) ).
fof(plus1_2,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).
fof(not_filling_0,hypothesis,
~ holdsAt(filling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_filling_0) ).
fof(not_spilling_0,hypothesis,
~ holdsAt(spilling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_spilling_0) ).
fof(filling_not_spilling,axiom,
filling != spilling,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',filling_not_spilling) ).
fof(plus0_2,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_2) ).
fof(less9,axiom,
! [X12] :
( less(X12,n9)
<=> less_or_equal(X12,n8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less9) ).
fof(startedin_defn,axiom,
! [X1,X3,X2] :
( startedIn(X1,X2,X3)
<=> ? [X4,X5] :
( initiates(X4,X2,X5)
& less(X5,X3)
& less(X1,X5)
& happens(X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',startedin_defn) ).
fof(less8,axiom,
! [X12] :
( less(X12,n8)
<=> less_or_equal(X12,n7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less8) ).
fof(less6,axiom,
! [X12] :
( less(X12,n6)
<=> less_or_equal(X12,n5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less6) ).
fof(less7,axiom,
! [X12] :
( less(X12,n7)
<=> less_or_equal(X12,n6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less7) ).
fof(less5,axiom,
! [X12] :
( less(X12,n5)
<=> less_or_equal(X12,n4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less5) ).
fof(less4,axiom,
! [X12] :
( less(X12,n4)
<=> less_or_equal(X12,n3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less4) ).
fof(plus1_3,axiom,
plus(n1,n3) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_3) ).
fof(plus0_3,axiom,
plus(n0,n3) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_3) ).
fof(waterLevel_4,conjecture,
holdsAt(waterLevel(n3),n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_4) ).
fof(c_0_48,plain,
! [X5,X4,X2] :
( epred1_3(X2,X4,X5)
<=> ( ? [X9] :
( X2 = waterLevel(X9)
& X4 = overflow
& holdsAt(waterLevel(X9),X5) )
| ? [X9] :
( X2 = waterLevel(X9)
& X4 = tapOff
& holdsAt(waterLevel(X9),X5) )
| ( X2 = spilling
& X4 = overflow )
| ( X2 = filling
& X4 = tapOn ) ) ),
introduced(definition) ).
fof(c_0_49,plain,
! [X112,X113,X114,X117,X118,X119,X120,X121] :
( ( epred1_3(X119,X118,X117)
| X119 != waterLevel(X121)
| X118 != overflow
| ~ holdsAt(waterLevel(X121),X117) )
& ( epred1_3(X119,X118,X117)
| X119 != waterLevel(X120)
| X118 != tapOff
| ~ holdsAt(waterLevel(X120),X117) )
& ( epred1_3(X119,X118,X117)
| X119 != spilling
| X118 != overflow )
& ( epred1_3(X119,X118,X117)
| X119 != filling
| X118 != tapOn )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X113 = tapOff
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X113 = tapOff
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X113 = tapOff
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X113 = tapOff
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X113 = tapOff
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X113 = tapOff
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X113 = tapOff
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X113 = tapOff
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X113 = tapOff
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X113 = tapOff
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X113 = tapOff
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X113 = tapOff
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])])])])]) ).
cnf(c_0_50,plain,
( ~ epred1_3(X3,X1,X2)
| X1 = tapOn
| X1 = overflow
| holdsAt(waterLevel(esk10_3(X2,X1,X3)),X2)
| X1 = overflow ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_51,plain,
( ~ epred1_3(X2,X1,X3)
| X1 = tapOn
| X1 = overflow
| X2 = waterLevel(esk10_3(X3,X1,X2))
| X1 = overflow ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_52,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_48]) ).
cnf(c_0_53,plain,
( ~ epred1_3(X3,X1,X2)
| holdsAt(waterLevel(esk10_3(X2,X1,X3)),X2)
| X1 = overflow
| X1 = tapOn ),
inference(cn,[status(thm)],[c_0_50]) ).
cnf(c_0_54,plain,
( ~ epred1_3(X2,X1,X3)
| X2 = waterLevel(esk10_3(X3,X1,X2))
| X1 = overflow
| X1 = tapOn ),
inference(cn,[status(thm)],[c_0_51]) ).
cnf(c_0_55,plain,
( X4 != waterLevel(X1)
| X3 != tapOff
| ~ holdsAt(waterLevel(X1),X2)
| epred1_3(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_56,hypothesis,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[waterLevel_0]) ).
fof(c_0_57,plain,
tapOff != tapOn,
inference(fof_simplification,[status(thm)],[tapOff_not_tapOn]) ).
fof(c_0_58,plain,
tapOff != overflow,
inference(fof_simplification,[status(thm)],[tapOff_not_overflow]) ).
fof(c_0_59,plain,
! [X56,X57,X58] :
( holdsAt(X58,plus(X57,n1))
| ~ initiates(X56,X58,X57)
| ~ happens(X56,X57) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_holds])])]) ).
fof(c_0_60,plain,
! [X68,X69,X70] :
( ( initiates(X68,X69,X70)
| ~ epred1_3(X69,X68,X70) )
& ( epred1_3(X69,X68,X70)
| ~ initiates(X68,X69,X70) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])]) ).
cnf(c_0_61,plain,
( ~ epred1_3(X2,X1,X3)
| holdsAt(X2,X3)
| X1 = tapOn
| X1 = overflow ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,hypothesis,
( X2 != tapOff
| X1 != waterLevel(n0)
| epred1_3(X1,X2,n0) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_63,plain,
tapOff != tapOn,
inference(fof_nnf,[status(thm)],[c_0_57]) ).
fof(c_0_64,plain,
tapOff != overflow,
inference(fof_nnf,[status(thm)],[c_0_58]) ).
fof(c_0_65,plain,
! [X2,X5] :
( ( ~ ? [X4] :
( releases(X4,X2,X5)
& happens(X4,X5) )
& ~ releasedAt(X2,X5) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[keep_not_released]) ).
fof(c_0_66,plain,
! [X4,X5,X2] :
( ( ( terminates(X4,X2,X5)
| initiates(X4,X2,X5) )
& happens(X4,X5) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[happens_not_released]) ).
cnf(c_0_67,plain,
( ~ initiates(X1,X3,X2)
| ~ happens(X1,X2)
| holdsAt(X3,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_68,plain,
( ~ epred1_3(X1,X2,X3)
| initiates(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_69,plain,
! [X84,X85,X86,X87] :
( trajectory(filling,X85,waterLevel(X86),X87)
| X86 != plus(X84,X87)
| ~ holdsAt(waterLevel(X84),X85) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])])]) ).
cnf(c_0_70,hypothesis,
( X1 != tapOff
| X2 != waterLevel(n0)
| holdsAt(X2,n0)
| X1 = overflow
| X1 = tapOn ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_71,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_72,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[c_0_64]) ).
fof(c_0_73,plain,
! [X74,X75,X76,X78,X79,X80,X81] :
( ( releases(X78,X79,X81)
| X79 != waterLevel(X80)
| X78 != tapOn )
& ( ~ releases(X74,X75,X76)
| X75 = waterLevel(esk9_2(X74,X75)) )
& ( ~ releases(X74,X75,X76)
| X74 = tapOn ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[releases_all_defn])])])])])])]) ).
fof(c_0_74,plain,
! [X82,X83] :
( ( happens(X82,X83)
| X82 != overflow
| ~ holdsAt(filling,X83)
| ~ holdsAt(waterLevel(n3),X83) )
& ( happens(X82,X83)
| X83 != n0
| X82 != tapOn )
& ( ~ happens(X82,X83)
| X83 = n0
| X82 = overflow )
& ( ~ happens(X82,X83)
| X83 = n0
| holdsAt(filling,X83) )
& ( ~ happens(X82,X83)
| X83 = n0
| holdsAt(waterLevel(n3),X83) )
& ( ~ happens(X82,X83)
| X82 = tapOn
| X82 = overflow )
& ( ~ happens(X82,X83)
| X82 = tapOn
| holdsAt(filling,X83) )
& ( ~ happens(X82,X83)
| X82 = tapOn
| holdsAt(waterLevel(n3),X83) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])])]) ).
fof(c_0_75,plain,
! [X53,X54] :
( ( ~ releasedAt(X53,plus(X54,n1))
| releasedAt(X53,X54)
| releases(esk8_2(X53,X54),X53,X54) )
& ( ~ releasedAt(X53,plus(X54,n1))
| releasedAt(X53,X54)
| happens(esk8_2(X53,X54),X54) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])])]) ).
fof(c_0_76,plain,
overflow != tapOn,
inference(fof_simplification,[status(thm)],[overflow_not_tapOn]) ).
fof(c_0_77,plain,
! [X65,X66,X67] :
( ( ~ releasedAt(X67,plus(X66,n1))
| ~ happens(X65,X66)
| ~ terminates(X65,X67,X66) )
& ( ~ releasedAt(X67,plus(X66,n1))
| ~ happens(X65,X66)
| ~ initiates(X65,X67,X66) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])]) ).
fof(c_0_78,plain,
! [X95,X96] : plus(X95,X96) = plus(X96,X95),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
cnf(c_0_79,plain,
( ~ happens(X3,X2)
| ~ epred1_3(X1,X3,X2)
| holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_80,plain,
( X2 != filling
| X1 != tapOn
| epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_81,plain,
( X3 != plus(X1,X4)
| ~ holdsAt(waterLevel(X1),X2)
| trajectory(filling,X2,waterLevel(X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_82,hypothesis,
( X1 != waterLevel(n0)
| holdsAt(X1,n0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_70]),c_0_71]),c_0_72]) ).
fof(c_0_83,plain,
! [X97,X98] :
( ( less_or_equal(X97,X98)
| X97 != X98 )
& ( less_or_equal(X97,X98)
| ~ less(X97,X98) )
& ( X97 = X98
| less(X97,X98)
| ~ less_or_equal(X97,X98) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_or_equal])])])]) ).
fof(c_0_84,plain,
! [X100] :
( ( less(X100,n1)
| ~ less_or_equal(X100,n0) )
& ( less_or_equal(X100,n0)
| ~ less(X100,n1) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])])]) ).
fof(c_0_85,plain,
! [X99] : ~ less(X99,n0),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])])]) ).
fof(c_0_86,plain,
! [X62,X63,X64] :
( releasedAt(X64,plus(X63,n1))
| ~ releases(X62,X64,X63)
| ~ happens(X62,X63) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_releases])])]) ).
cnf(c_0_87,plain,
( X2 != waterLevel(X3)
| X1 != tapOn
| releases(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_88,plain,
( ~ happens(X1,X2)
| X2 = n0
| X1 = overflow ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_89,plain,
( ~ releasedAt(X1,plus(X2,n1))
| releasedAt(X1,X2)
| happens(esk8_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_90,plain,
( ~ releases(X1,X2,X3)
| X1 = tapOn ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_91,plain,
( ~ releasedAt(X1,plus(X2,n1))
| releasedAt(X1,X2)
| releases(esk8_2(X1,X2),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
fof(c_0_92,plain,
overflow != tapOn,
inference(fof_nnf,[status(thm)],[c_0_76]) ).
fof(c_0_93,plain,
! [X2,X5] :
( ( ~ ? [X4] :
( terminates(X4,X2,X5)
& happens(X4,X5) )
& ~ releasedAt(X2,plus(X5,n1))
& holdsAt(X2,X5) )
=> holdsAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[keep_holding]) ).
cnf(c_0_94,plain,
( ~ releasedAt(X2,plus(X3,n1))
| ~ happens(X1,X3)
| ~ initiates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_95,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_96,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
fof(c_0_97,plain,
( ~ epred21_0
<=> ! [X2] :
( X2 != tapOn
| ~ happens(X2,n0) ) ),
introduced(definition) ).
cnf(c_0_98,plain,
( ~ happens(X3,X2)
| X3 != tapOn
| X1 != filling
| holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_99,plain,
( X2 != n0
| X1 != tapOn
| happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_100,hypothesis,
( X1 != plus(X3,X2)
| waterLevel(X3) != waterLevel(n0)
| trajectory(filling,n0,waterLevel(X1),X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_101,plain,
( ~ less_or_equal(X1,X2)
| X1 = X2
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_102,plain,
( ~ less(X1,n1)
| less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_103,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
fof(c_0_104,plain,
! [X14,X15,X16,X19,X20,X21,X22,X23] :
( ( stoppedIn(X19,X20,X21)
| ~ terminates(X22,X20,X23)
| ~ less(X23,X21)
| ~ less(X19,X23)
| ~ happens(X22,X23) )
& ( ~ stoppedIn(X14,X15,X16)
| terminates(esk1_3(X14,X15,X16),X15,esk2_3(X14,X15,X16)) )
& ( ~ stoppedIn(X14,X15,X16)
| less(esk2_3(X14,X15,X16),X16) )
& ( ~ stoppedIn(X14,X15,X16)
| less(X14,esk2_3(X14,X15,X16)) )
& ( ~ stoppedIn(X14,X15,X16)
| happens(esk1_3(X14,X15,X16),esk2_3(X14,X15,X16)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[stoppedin_defn])])])])])])]) ).
cnf(c_0_105,plain,
( ~ releases(X1,X3,X2)
| ~ happens(X1,X2)
| releasedAt(X3,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_106,plain,
( X1 != tapOn
| releases(X1,waterLevel(X2),X3) ),
inference(er,[status(thm)],[c_0_87]) ).
cnf(c_0_107,plain,
( ~ releasedAt(X1,plus(X2,n1))
| releasedAt(X1,X2)
| X2 = n0
| esk8_2(X1,X2) = overflow ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_108,plain,
( ~ releasedAt(X1,plus(X2,n1))
| releasedAt(X1,X2)
| esk8_2(X1,X2) = tapOn ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_109,plain,
overflow != tapOn,
inference(split_conjunct,[status(thm)],[c_0_92]) ).
fof(c_0_110,plain,
! [X44,X45] :
( ( holdsAt(X44,plus(X45,n1))
| releasedAt(X44,plus(X45,n1))
| ~ holdsAt(X44,X45)
| terminates(esk5_2(X44,X45),X44,X45) )
& ( holdsAt(X44,plus(X45,n1))
| releasedAt(X44,plus(X45,n1))
| ~ holdsAt(X44,X45)
| happens(esk5_2(X44,X45),X45) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])])])])]) ).
cnf(c_0_111,plain,
( ~ happens(X3,X2)
| ~ initiates(X3,X1,X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_112,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_96,c_0_95]) ).
cnf(c_0_113,plain,
( ~ happens(X1,n0)
| X1 != tapOn
| epred21_0 ),
inference(split_equiv,[status(thm)],[c_0_97]) ).
cnf(c_0_114,plain,
( X2 != n0
| X3 != tapOn
| X1 != filling
| holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
fof(c_0_115,plain,
! [X4,X5,X2,X6,X7] :
( ( ~ stoppedIn(X5,X2,plus(X5,X7))
& trajectory(X2,X5,X6,X7)
& less(n0,X7)
& initiates(X4,X2,X5)
& happens(X4,X5) )
=> holdsAt(X6,plus(X5,X7)) ),
inference(fof_simplification,[status(thm)],[change_holding]) ).
cnf(c_0_116,hypothesis,
( X1 != plus(X2,X3)
| waterLevel(X3) != waterLevel(n0)
| trajectory(filling,n0,waterLevel(X1),X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_95]) ).
cnf(c_0_117,plain,
( X1 != X2
| less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_118,plain,
( ~ less(X1,n1)
| X1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_119,plain,
( ~ stoppedIn(X1,X2,X3)
| less(esk2_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_120,plain,
( ~ happens(X3,X2)
| X3 != tapOn
| releasedAt(waterLevel(X1),plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_121,plain,
( ~ releasedAt(X2,plus(X1,n1))
| releasedAt(X2,X1)
| X1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).
cnf(c_0_122,plain,
( ~ happens(X2,X1)
| X1 = n0
| holdsAt(waterLevel(n3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_123,plain,
( ~ holdsAt(X1,X2)
| holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| happens(esk5_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_124,plain,
( ~ happens(X2,n0)
| ~ initiates(X2,X1,n0)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_125,plain,
( X1 != tapOn
| epred21_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_99]) ).
cnf(c_0_126,plain,
( X2 != n0
| X1 != filling
| holdsAt(X1,plus(X2,n1)) ),
inference(er,[status(thm)],[c_0_114]) ).
fof(c_0_127,plain,
! [X34,X35,X36,X37,X38] :
( holdsAt(X37,plus(X35,X38))
| stoppedIn(X35,X36,plus(X35,X38))
| ~ trajectory(X36,X35,X37,X38)
| ~ less(n0,X38)
| ~ initiates(X34,X36,X35)
| ~ happens(X34,X35) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_115])])]) ).
cnf(c_0_128,hypothesis,
( waterLevel(X2) != waterLevel(n0)
| trajectory(filling,n0,waterLevel(plus(X1,X2)),X1) ),
inference(er,[status(thm)],[c_0_116]) ).
cnf(c_0_129,plain,
( ~ less_or_equal(X1,n0)
| less(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_130,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_117]) ).
cnf(c_0_131,plain,
( ~ stoppedIn(X1,X2,X3)
| less(X1,esk2_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_132,plain,
( ~ stoppedIn(X1,X2,n1)
| esk2_3(X1,X2,n1) = n0 ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
fof(c_0_133,hypothesis,
! [X9] : ~ releasedAt(waterLevel(X9),n0),
inference(fof_simplification,[status(thm)],[not_released_waterLevel_0]) ).
cnf(c_0_134,plain,
( X2 != n0
| X3 != tapOn
| releasedAt(waterLevel(X1),plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_120,c_0_99]) ).
fof(c_0_135,plain,
( ~ epred16_0
<=> ! [X1] :
( X1 != filling
| ~ releasedAt(X1,n1) ) ),
introduced(definition) ).
cnf(c_0_136,plain,
( ~ releasedAt(X2,plus(n1,X1))
| releasedAt(X2,X1)
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_121,c_0_95]) ).
cnf(c_0_137,plain,
( ~ holdsAt(X2,X1)
| holdsAt(waterLevel(n3),X1)
| holdsAt(X2,plus(X1,n1))
| releasedAt(X2,plus(X1,n1))
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_138,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[plus1_1]) ).
cnf(c_0_139,plain,
( ~ happens(X2,n0)
| ~ releasedAt(X1,n1)
| ~ epred1_3(X1,X2,n0) ),
inference(spm,[status(thm)],[c_0_124,c_0_68]) ).
cnf(c_0_140,plain,
epred21_0,
inference(er,[status(thm)],[c_0_125]) ).
cnf(c_0_141,plain,
( X2 != n0
| X1 != filling
| holdsAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_126,c_0_95]) ).
cnf(c_0_142,plain,
( ~ trajectory(X3,X2,X5,X4)
| ~ less(n0,X4)
| ~ initiates(X1,X3,X2)
| ~ happens(X1,X2)
| holdsAt(X5,plus(X2,X4))
| stoppedIn(X2,X3,plus(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_143,hypothesis,
trajectory(filling,n0,waterLevel(n1),n1),
inference(spm,[status(thm)],[c_0_128,c_0_112]) ).
cnf(c_0_144,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_145,plain,
~ stoppedIn(X1,X2,n1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_103]) ).
fof(c_0_146,hypothesis,
! [X111] : ~ releasedAt(waterLevel(X111),n0),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_133])]) ).
cnf(c_0_147,plain,
( ~ releasedAt(X1,plus(X2,n1))
| happens(tapOn,X2)
| releasedAt(X1,X2) ),
inference(spm,[status(thm)],[c_0_89,c_0_108]) ).
cnf(c_0_148,plain,
( X2 != n0
| releasedAt(waterLevel(X1),plus(X2,n1)) ),
inference(er,[status(thm)],[c_0_134]) ).
cnf(c_0_149,plain,
( ~ releasedAt(X1,n1)
| X1 != filling
| epred16_0 ),
inference(split_equiv,[status(thm)],[c_0_135]) ).
cnf(c_0_150,plain,
( ~ holdsAt(X1,n1)
| holdsAt(X1,n2)
| holdsAt(waterLevel(n3),n1)
| releasedAt(X1,n1)
| n0 = n1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_151,plain,
~ epred16_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_139,c_0_80]),c_0_135]),c_0_97]),c_0_140])]) ).
cnf(c_0_152,plain,
( X1 != filling
| holdsAt(X1,n1) ),
inference(spm,[status(thm)],[c_0_141,c_0_112]) ).
cnf(c_0_153,plain,
( X1 != filling
| n0 != n1
| holdsAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_126,c_0_138]) ).
cnf(c_0_154,hypothesis,
( ~ happens(X1,n0)
| ~ initiates(X1,filling,n0)
| holdsAt(waterLevel(n1),n1) ),
inference(sr,[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_142,c_0_143]),c_0_95]),c_0_112]),c_0_95]),c_0_112]),c_0_144])]),c_0_145]) ).
cnf(c_0_155,hypothesis,
~ releasedAt(waterLevel(X1),n0),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_156,plain,
( X2 != n0
| happens(tapOn,X2)
| releasedAt(waterLevel(X1),X2) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
fof(c_0_157,plain,
! [X4,X5,X2] :
( ( terminates(X4,X2,X5)
& happens(X4,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[happens_terminates_not_holds]) ).
fof(c_0_158,plain,
! [X88,X89,X90] :
( X89 = X90
| ~ holdsAt(waterLevel(X90),X88)
| ~ holdsAt(waterLevel(X89),X88) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[same_waterLevel])])]) ).
cnf(c_0_159,plain,
( X1 != filling
| holdsAt(X1,n2)
| holdsAt(waterLevel(n3),n1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_152]),c_0_153]) ).
cnf(c_0_160,hypothesis,
( ~ happens(X1,n0)
| ~ epred1_3(filling,X1,n0)
| holdsAt(waterLevel(n1),n1) ),
inference(spm,[status(thm)],[c_0_154,c_0_68]) ).
cnf(c_0_161,hypothesis,
happens(tapOn,n0),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
fof(c_0_162,plain,
! [X59,X60,X61] :
( ~ holdsAt(X61,plus(X60,n1))
| ~ terminates(X59,X61,X60)
| ~ happens(X59,X60) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_157])])]) ).
fof(c_0_163,plain,
! [X71,X72,X73] :
( ( terminates(X71,X72,X73)
| X72 != filling
| X71 != overflow )
& ( terminates(X71,X72,X73)
| X72 != filling
| X71 != tapOff )
& ( ~ terminates(X71,X72,X73)
| X72 = filling
| X72 = filling )
& ( ~ terminates(X71,X72,X73)
| X72 = filling
| X71 = overflow )
& ( ~ terminates(X71,X72,X73)
| X71 = tapOff
| X72 = filling )
& ( ~ terminates(X71,X72,X73)
| X71 = tapOff
| X71 = overflow ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[terminates_all_defn])])])]) ).
cnf(c_0_164,plain,
( ~ holdsAt(waterLevel(X3),X2)
| ~ holdsAt(waterLevel(X1),X2)
| X1 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_165,plain,
( holdsAt(filling,n2)
| holdsAt(waterLevel(n3),n1) ),
inference(er,[status(thm)],[c_0_159]) ).
cnf(c_0_166,hypothesis,
( ~ epred1_3(filling,tapOn,n0)
| holdsAt(waterLevel(n1),n1) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
fof(c_0_167,plain,
! [X12,X13] :
( less(X12,X13)
<=> ( X13 != X12
& ~ less(X13,X12) ) ),
inference(fof_simplification,[status(thm)],[less_property]) ).
fof(c_0_168,plain,
! [X101] :
( ( less(X101,n2)
| ~ less_or_equal(X101,n1) )
& ( less_or_equal(X101,n1)
| ~ less(X101,n2) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less2])])]) ).
cnf(c_0_169,plain,
( ~ holdsAt(X3,plus(X2,n1))
| ~ terminates(X1,X3,X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_170,plain,
( X2 != filling
| X1 != overflow
| terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
fof(c_0_171,plain,
( ~ epred26_0
<=> ! [X1] :
( X1 != filling
| ~ holdsAt(X1,n1) ) ),
introduced(definition) ).
fof(c_0_172,plain,
! [X102] :
( ( less(X102,n3)
| ~ less_or_equal(X102,n2) )
& ( less_or_equal(X102,n2)
| ~ less(X102,n3) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less3])])]) ).
fof(c_0_173,plain,
( ~ epred2_0
<=> ! [X1] :
( X1 != filling
| ~ holdsAt(X1,n2) ) ),
introduced(definition) ).
cnf(c_0_174,plain,
( ~ holdsAt(waterLevel(X1),n1)
| holdsAt(filling,n2)
| X1 = n3 ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_175,plain,
holdsAt(waterLevel(n1),n1),
inference(spm,[status(thm)],[c_0_166,c_0_80]) ).
fof(c_0_176,plain,
! [X109,X110] :
( ( less(X109,X110)
| X110 = X109
| less(X110,X109) )
& ( ~ less(X109,X110)
| X110 != X109 )
& ( ~ less(X109,X110)
| ~ less(X110,X109) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_167])])])]) ).
cnf(c_0_177,plain,
( ~ less_or_equal(X1,n1)
| less(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
fof(c_0_178,plain,
( ~ epred27_0
<=> ! [X1] : X1 != filling ),
introduced(definition) ).
fof(c_0_179,plain,
! [X12] : filling != waterLevel(X12),
inference(fof_simplification,[status(thm)],[filling_not_waterLevel]) ).
fof(c_0_180,plain,
! [X12] : spilling != waterLevel(X12),
inference(fof_simplification,[status(thm)],[spilling_not_waterLevel]) ).
cnf(c_0_181,plain,
( ~ happens(X2,X3)
| ~ holdsAt(X1,plus(X3,n1))
| X2 != overflow
| X1 != filling ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_182,plain,
( ~ holdsAt(X1,n1)
| X1 != filling
| epred26_0 ),
inference(split_equiv,[status(thm)],[c_0_171]) ).
fof(c_0_183,plain,
! [X2,X5] :
( ( ~ ? [X4] :
( initiates(X4,X2,X5)
& happens(X4,X5) )
& ~ releasedAt(X2,plus(X5,n1))
& ~ holdsAt(X2,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[keep_not_holding]) ).
cnf(c_0_184,plain,
( ~ less_or_equal(X1,n2)
| less(X1,n3) ),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_185,plain,
( ~ holdsAt(X1,n2)
| X1 != filling
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_173]) ).
cnf(c_0_186,plain,
( holdsAt(filling,n2)
| n3 = n1 ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_187,plain,
( ~ less(X2,X1)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_188,plain,
less(n1,n2),
inference(spm,[status(thm)],[c_0_177,c_0_130]) ).
cnf(c_0_189,plain,
( X1 != filling
| epred27_0 ),
inference(split_equiv,[status(thm)],[c_0_178]) ).
fof(c_0_190,plain,
! [X91] : filling != waterLevel(X91),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_179])]) ).
cnf(c_0_191,plain,
( ~ releases(X2,X1,X3)
| X1 = waterLevel(esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
fof(c_0_192,plain,
! [X92] : spilling != waterLevel(X92),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_180])]) ).
fof(c_0_193,plain,
( ~ epred17_0
<=> ! [X2] :
( X2 != overflow
| ~ happens(X2,n0) ) ),
introduced(definition) ).
cnf(c_0_194,plain,
( ~ happens(X2,X3)
| ~ holdsAt(X1,plus(n1,X3))
| X2 != overflow
| X1 != filling ),
inference(spm,[status(thm)],[c_0_181,c_0_95]) ).
cnf(c_0_195,plain,
( X1 != filling
| epred26_0 ),
inference(spm,[status(thm)],[c_0_182,c_0_152]) ).
fof(c_0_196,plain,
! [X47,X48] :
( ( ~ holdsAt(X47,plus(X48,n1))
| releasedAt(X47,plus(X48,n1))
| holdsAt(X47,X48)
| initiates(esk6_2(X47,X48),X47,X48) )
& ( ~ holdsAt(X47,plus(X48,n1))
| releasedAt(X47,plus(X48,n1))
| holdsAt(X47,X48)
| happens(esk6_2(X47,X48),X48) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_183])])])])]) ).
fof(c_0_197,plain,
( ~ epred3_0
<=> ! [X2] :
( X2 != overflow
| ~ happens(X2,n1) ) ),
introduced(definition) ).
cnf(c_0_198,plain,
less(n2,n3),
inference(spm,[status(thm)],[c_0_184,c_0_130]) ).
cnf(c_0_199,plain,
( epred2_0
| n3 = n1 ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_200,plain,
~ less(n2,n1),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_201,plain,
( X2 != spilling
| X1 != overflow
| epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_202,hypothesis,
( X1 != n1
| trajectory(filling,n0,waterLevel(X1),n1) ),
inference(spm,[status(thm)],[c_0_116,c_0_112]) ).
fof(c_0_203,plain,
( ~ epred31_0
<=> ! [X3,X2] :
( X2 != overflow
| X3 != n0
| ~ happens(X2,X3) ) ),
introduced(definition) ).
cnf(c_0_204,plain,
epred27_0,
inference(er,[status(thm)],[c_0_189]) ).
cnf(c_0_205,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_206,plain,
( ~ releasedAt(X1,plus(X2,n1))
| releasedAt(X1,X2)
| waterLevel(esk9_2(esk8_2(X1,X2),X1)) = X1 ),
inference(spm,[status(thm)],[c_0_191,c_0_91]) ).
cnf(c_0_207,plain,
( ~ epred1_3(X3,X1,X2)
| X3 = filling
| X1 = overflow
| holdsAt(waterLevel(esk10_3(X2,X1,X3)),X2)
| X1 = overflow ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_208,plain,
( ~ epred1_3(X2,X1,X3)
| X2 = filling
| X1 = overflow
| X2 = waterLevel(esk10_3(X3,X1,X2))
| X1 = overflow ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_209,plain,
spilling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_210,plain,
( ~ epred17_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_112]),c_0_171]),c_0_193]) ).
cnf(c_0_211,plain,
epred26_0,
inference(er,[status(thm)],[c_0_195]) ).
cnf(c_0_212,plain,
( ~ happens(X1,X2)
| X1 = tapOn
| X1 = overflow ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_213,plain,
( ~ holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| holdsAt(X1,X2)
| happens(esk6_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_214,plain,
( X2 != n0
| releasedAt(waterLevel(X1),plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_148,c_0_95]) ).
cnf(c_0_215,plain,
( ~ epred2_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_138]),c_0_173]),c_0_197]) ).
cnf(c_0_216,plain,
epred2_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200]) ).
cnf(c_0_217,plain,
( ~ happens(X3,X2)
| X3 != overflow
| X1 != spilling
| holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_201]) ).
cnf(c_0_218,plain,
( X2 != overflow
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1)
| happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_219,hypothesis,
( ~ happens(X2,n0)
| ~ initiates(X2,filling,n0)
| X1 != n1
| holdsAt(waterLevel(X1),n1) ),
inference(sr,[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_142,c_0_202]),c_0_95]),c_0_112]),c_0_95]),c_0_112]),c_0_144])]),c_0_145]) ).
cnf(c_0_220,plain,
~ epred31_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_181,c_0_126]),c_0_178]),c_0_203]),c_0_204])]) ).
fof(c_0_221,plain,
( ~ epred34_0
<=> ! [X2] : X2 != overflow ),
introduced(definition) ).
fof(c_0_222,hypothesis,
~ releasedAt(filling,n0),
inference(fof_simplification,[status(thm)],[not_released_filling_0]) ).
cnf(c_0_223,plain,
( ~ releasedAt(X1,plus(X2,n1))
| X1 != filling
| releasedAt(X1,X2) ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_224,plain,
( ~ epred1_3(X3,X1,X2)
| holdsAt(waterLevel(esk10_3(X2,X1,X3)),X2)
| X1 = overflow
| X3 = filling ),
inference(cn,[status(thm)],[c_0_207]) ).
cnf(c_0_225,plain,
( ~ epred1_3(X2,X1,X3)
| X2 = waterLevel(esk10_3(X3,X1,X2))
| X1 = overflow
| X2 = filling ),
inference(cn,[status(thm)],[c_0_208]) ).
fof(c_0_226,hypothesis,
~ releasedAt(spilling,n0),
inference(fof_simplification,[status(thm)],[not_released_spilling_0]) ).
cnf(c_0_227,plain,
( ~ releasedAt(X1,plus(X2,n1))
| X1 != spilling
| releasedAt(X1,X2) ),
inference(spm,[status(thm)],[c_0_209,c_0_206]) ).
cnf(c_0_228,plain,
( ~ happens(X1,n0)
| X1 != overflow
| epred17_0 ),
inference(split_equiv,[status(thm)],[c_0_193]) ).
cnf(c_0_229,plain,
~ epred17_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_211])]) ).
cnf(c_0_230,plain,
( ~ holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| holdsAt(X1,X2)
| initiates(esk6_2(X1,X2),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_231,plain,
( ~ holdsAt(X1,plus(X2,n1))
| holdsAt(X1,X2)
| releasedAt(X1,plus(X2,n1))
| esk6_2(X1,X2) = tapOn
| esk6_2(X1,X2) = overflow ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_232,plain,
releasedAt(waterLevel(X1),n1),
inference(spm,[status(thm)],[c_0_214,c_0_112]) ).
cnf(c_0_233,plain,
( ~ happens(X1,n1)
| X1 != overflow
| epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_197]) ).
cnf(c_0_234,plain,
~ epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_216])]) ).
cnf(c_0_235,plain,
( ~ holdsAt(filling,X2)
| ~ holdsAt(waterLevel(n3),X2)
| X3 != overflow
| X1 != spilling
| holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_236,hypothesis,
( ~ happens(X2,n0)
| ~ epred1_3(filling,X2,n0)
| X1 != n1
| holdsAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[c_0_219,c_0_68]) ).
fof(c_0_237,plain,
( ~ epred33_0
<=> ! [X1] :
( X1 != n0
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1) ) ),
introduced(definition) ).
cnf(c_0_238,plain,
( ~ happens(X2,X1)
| X2 != overflow
| X1 != n0 ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_203]),c_0_220]) ).
cnf(c_0_239,plain,
( X1 != overflow
| epred34_0 ),
inference(split_equiv,[status(thm)],[c_0_221]) ).
cnf(c_0_240,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[plus1_2]) ).
fof(c_0_241,hypothesis,
~ releasedAt(filling,n0),
inference(fof_nnf,[status(thm)],[c_0_222]) ).
cnf(c_0_242,plain,
( ~ releasedAt(X1,plus(n1,X2))
| X1 != filling
| releasedAt(X1,X2) ),
inference(spm,[status(thm)],[c_0_223,c_0_95]) ).
fof(c_0_243,hypothesis,
~ holdsAt(filling,n0),
inference(fof_simplification,[status(thm)],[not_filling_0]) ).
cnf(c_0_244,plain,
( ~ epred1_3(X2,X1,X3)
| holdsAt(X2,X3)
| X2 = filling
| X1 = overflow ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_245,plain,
( X2 != tapOff
| X1 != waterLevel(n1)
| epred1_3(X1,X2,n1) ),
inference(spm,[status(thm)],[c_0_55,c_0_175]) ).
fof(c_0_246,hypothesis,
~ releasedAt(spilling,n0),
inference(fof_nnf,[status(thm)],[c_0_226]) ).
cnf(c_0_247,plain,
( ~ releasedAt(X1,plus(n1,X2))
| X1 != spilling
| releasedAt(X1,X2) ),
inference(spm,[status(thm)],[c_0_227,c_0_95]) ).
cnf(c_0_248,plain,
( ~ holdsAt(X1,n1)
| esk6_2(X1,n0) != overflow
| holdsAt(X1,n0)
| releasedAt(X1,n1) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_213]),c_0_95]),c_0_112]),c_0_95]),c_0_112]),c_0_229]) ).
cnf(c_0_249,plain,
( ~ holdsAt(X1,plus(X2,n1))
| initiates(tapOn,X1,X2)
| holdsAt(X1,X2)
| releasedAt(X1,plus(X2,n1))
| esk6_2(X1,X2) = overflow ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
fof(c_0_250,hypothesis,
~ holdsAt(spilling,n0),
inference(fof_simplification,[status(thm)],[not_spilling_0]) ).
cnf(c_0_251,plain,
( ~ releasedAt(X1,plus(X2,n1))
| releasedAt(X1,X2)
| releasedAt(X1,n1) ),
inference(spm,[status(thm)],[c_0_232,c_0_206]) ).
cnf(c_0_252,plain,
( ~ holdsAt(X1,n2)
| esk6_2(X1,n1) != overflow
| holdsAt(X1,n1)
| releasedAt(X1,n2) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_213]),c_0_138]),c_0_138]),c_0_234]) ).
cnf(c_0_253,plain,
( ~ holdsAt(X1,plus(X2,n1))
| holdsAt(X1,X2)
| releasedAt(X1,plus(X2,n1))
| X2 = n0
| esk6_2(X1,X2) = overflow ),
inference(spm,[status(thm)],[c_0_88,c_0_213]) ).
cnf(c_0_254,plain,
( ~ holdsAt(filling,X2)
| ~ holdsAt(waterLevel(n3),X2)
| X1 != spilling
| holdsAt(X1,plus(X2,n1)) ),
inference(er,[status(thm)],[c_0_235]) ).
cnf(c_0_255,hypothesis,
( ~ epred1_3(filling,tapOn,n0)
| X1 != n1
| holdsAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[c_0_236,c_0_161]) ).
cnf(c_0_256,plain,
( ~ epred33_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_218]),c_0_237]),c_0_221]) ).
cnf(c_0_257,plain,
epred34_0,
inference(er,[status(thm)],[c_0_239]) ).
cnf(c_0_258,hypothesis,
( X1 != n3
| waterLevel(n2) != waterLevel(n0)
| trajectory(filling,n0,waterLevel(X1),n1) ),
inference(spm,[status(thm)],[c_0_116,c_0_240]) ).
cnf(c_0_259,hypothesis,
~ releasedAt(filling,n0),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_260,plain,
( ~ releasedAt(X1,n1)
| X1 != filling
| releasedAt(X1,n0) ),
inference(spm,[status(thm)],[c_0_242,c_0_112]) ).
fof(c_0_261,hypothesis,
~ holdsAt(filling,n0),
inference(fof_nnf,[status(thm)],[c_0_243]) ).
cnf(c_0_262,plain,
( X1 != tapOff
| X2 != waterLevel(n1)
| holdsAt(X2,n1)
| X1 = overflow ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_152]) ).
cnf(c_0_263,plain,
( ~ less(X1,n2)
| less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_264,hypothesis,
~ releasedAt(spilling,n0),
inference(split_conjunct,[status(thm)],[c_0_246]) ).
cnf(c_0_265,plain,
( ~ releasedAt(X1,n1)
| X1 != spilling
| releasedAt(X1,n0) ),
inference(spm,[status(thm)],[c_0_247,c_0_112]) ).
cnf(c_0_266,plain,
( ~ initiates(X1,X2,X3)
| epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_267,plain,
( ~ holdsAt(X1,n1)
| initiates(tapOn,X1,n0)
| holdsAt(X1,n0)
| releasedAt(X1,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_95]),c_0_112]),c_0_95]),c_0_112])]) ).
fof(c_0_268,hypothesis,
~ holdsAt(spilling,n0),
inference(fof_nnf,[status(thm)],[c_0_250]) ).
fof(c_0_269,plain,
filling != spilling,
inference(fof_simplification,[status(thm)],[filling_not_spilling]) ).
cnf(c_0_270,plain,
( ~ releasedAt(X1,n2)
| releasedAt(X1,n1) ),
inference(spm,[status(thm)],[c_0_251,c_0_138]) ).
cnf(c_0_271,plain,
( ~ holdsAt(X1,n2)
| holdsAt(X1,n1)
| releasedAt(X1,n2)
| n0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_138]),c_0_138])]) ).
cnf(c_0_272,plain,
( ~ holdsAt(filling,n1)
| ~ holdsAt(waterLevel(n3),n1)
| X1 != spilling
| holdsAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_254,c_0_138]) ).
cnf(c_0_273,plain,
( X1 != n1
| holdsAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[c_0_255,c_0_80]) ).
cnf(c_0_274,plain,
( ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1)
| X1 != n0
| epred33_0 ),
inference(split_equiv,[status(thm)],[c_0_237]) ).
cnf(c_0_275,plain,
~ epred33_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_257])]) ).
cnf(c_0_276,hypothesis,
( ~ happens(X2,n0)
| ~ initiates(X2,filling,n0)
| X1 != n3
| waterLevel(n2) != waterLevel(n0)
| holdsAt(waterLevel(X1),n1) ),
inference(sr,[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_142,c_0_258]),c_0_95]),c_0_112]),c_0_95]),c_0_112]),c_0_144])]),c_0_145]) ).
cnf(c_0_277,hypothesis,
~ releasedAt(filling,n1),
inference(spm,[status(thm)],[c_0_259,c_0_260]) ).
cnf(c_0_278,hypothesis,
~ holdsAt(filling,n0),
inference(split_conjunct,[status(thm)],[c_0_261]) ).
cnf(c_0_279,plain,
( ~ releasedAt(X1,plus(X2,n1))
| releasedAt(X1,X2)
| waterLevel(esk9_2(tapOn,X1)) = X1 ),
inference(spm,[status(thm)],[c_0_206,c_0_108]) ).
cnf(c_0_280,hypothesis,
( waterLevel(X1) != waterLevel(n0)
| trajectory(filling,n0,waterLevel(plus(X1,X2)),X2) ),
inference(er,[status(thm)],[c_0_100]) ).
cnf(c_0_281,plain,
( X1 != waterLevel(n1)
| holdsAt(X1,n1) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_262]),c_0_72]) ).
cnf(c_0_282,plain,
( ~ less(X1,n2)
| less(X1,n1)
| X1 = n1 ),
inference(spm,[status(thm)],[c_0_101,c_0_263]) ).
cnf(c_0_283,plain,
( ~ epred1_3(X2,X1,X3)
| X2 = filling
| X1 = overflow
| X1 = tapOff
| X1 = overflow ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_284,hypothesis,
~ releasedAt(spilling,n1),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_285,plain,
( ~ holdsAt(X1,n1)
| holdsAt(X1,n0)
| releasedAt(X1,n1)
| epred1_3(X1,tapOn,n0) ),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_286,hypothesis,
~ holdsAt(spilling,n0),
inference(split_conjunct,[status(thm)],[c_0_268]) ).
fof(c_0_287,plain,
filling != spilling,
inference(fof_nnf,[status(thm)],[c_0_269]) ).
cnf(c_0_288,plain,
( ~ holdsAt(X1,n2)
| holdsAt(X1,n1)
| releasedAt(X1,n1)
| n0 = n1 ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_289,plain,
( ~ holdsAt(filling,n1)
| X1 != spilling
| n3 != n1
| holdsAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
cnf(c_0_290,plain,
( ~ holdsAt(filling,n1)
| n3 != n1
| n0 != n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_273]),c_0_275]) ).
cnf(c_0_291,plain,
( X1 != tapOn
| waterLevel(esk9_2(X1,waterLevel(X2))) = waterLevel(X2) ),
inference(spm,[status(thm)],[c_0_191,c_0_106]) ).
cnf(c_0_292,hypothesis,
( ~ holdsAt(filling,n1)
| X1 != n3
| waterLevel(n2) != waterLevel(n0)
| holdsAt(waterLevel(X1),n1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_267]),c_0_161])]),c_0_277]),c_0_278]) ).
cnf(c_0_293,plain,
( X2 != n0
| releasedAt(waterLevel(X1),X2)
| waterLevel(esk9_2(tapOn,waterLevel(X1))) = waterLevel(X1) ),
inference(spm,[status(thm)],[c_0_279,c_0_148]) ).
cnf(c_0_294,plain,
( ~ holdsAt(waterLevel(X1),n1)
| X1 = n1 ),
inference(spm,[status(thm)],[c_0_164,c_0_175]) ).
cnf(c_0_295,hypothesis,
( waterLevel(n0) != waterLevel(n1)
| trajectory(filling,n0,waterLevel(n2),n1) ),
inference(spm,[status(thm)],[c_0_280,c_0_138]) ).
cnf(c_0_296,plain,
( ~ terminates(X1,X5,X2)
| ~ less(X2,X4)
| ~ less(X3,X2)
| ~ happens(X1,X2)
| stoppedIn(X3,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_297,plain,
( ~ stoppedIn(X1,X2,X3)
| terminates(esk1_3(X1,X2,X3),X2,esk2_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_298,plain,
( ~ stoppedIn(X1,X2,X3)
| happens(esk1_3(X1,X2,X3),esk2_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_299,plain,
( X1 != plus(X3,X2)
| waterLevel(X3) != waterLevel(n1)
| trajectory(filling,n1,waterLevel(X1),X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_281]) ).
cnf(c_0_300,plain,
( ~ stoppedIn(X1,X2,X3)
| ~ less(esk2_3(X1,X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_187,c_0_131]) ).
cnf(c_0_301,plain,
( ~ stoppedIn(X1,X2,n2)
| less(esk2_3(X1,X2,n2),n1)
| esk2_3(X1,X2,n2) = n1 ),
inference(spm,[status(thm)],[c_0_282,c_0_119]) ).
cnf(c_0_302,plain,
( ~ less(X2,X1)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_303,plain,
( ~ holdsAt(X1,plus(X2,n1))
| happens(tapOn,X2)
| holdsAt(X1,X2)
| releasedAt(X1,plus(X2,n1))
| esk6_2(X1,X2) = overflow ),
inference(spm,[status(thm)],[c_0_213,c_0_231]) ).
cnf(c_0_304,plain,
( ~ epred1_3(X2,X1,X3)
| X1 = tapOff
| X1 = overflow
| X2 = filling ),
inference(cn,[status(thm)],[c_0_283]) ).
cnf(c_0_305,hypothesis,
( ~ holdsAt(spilling,n1)
| epred1_3(spilling,tapOn,n0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_286]) ).
cnf(c_0_306,plain,
filling != spilling,
inference(split_conjunct,[status(thm)],[c_0_287]) ).
cnf(c_0_307,hypothesis,
( ~ holdsAt(spilling,n2)
| holdsAt(spilling,n1)
| n0 = n1 ),
inference(spm,[status(thm)],[c_0_284,c_0_288]) ).
cnf(c_0_308,plain,
( X1 != spilling
| n3 != n1
| holdsAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_289,c_0_152]) ).
cnf(c_0_309,plain,
( n3 != n1
| n0 != n1 ),
inference(spm,[status(thm)],[c_0_290,c_0_152]) ).
cnf(c_0_310,plain,
( ~ holdsAt(waterLevel(X1),X4)
| ~ holdsAt(waterLevel(X3),X4)
| X2 != tapOn
| X1 = esk9_2(X2,waterLevel(X3)) ),
inference(spm,[status(thm)],[c_0_164,c_0_291]) ).
cnf(c_0_311,plain,
( ~ holdsAt(filling,n1)
| X1 != spilling
| waterLevel(n2) != waterLevel(n0)
| holdsAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_272,c_0_292]) ).
cnf(c_0_312,plain,
( ~ holdsAt(filling,n1)
| n0 != n1
| waterLevel(n2) != waterLevel(n0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_292]),c_0_275]) ).
cnf(c_0_313,plain,
waterLevel(esk9_2(tapOn,waterLevel(X1))) = waterLevel(X1),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_293]),c_0_155]) ).
cnf(c_0_314,plain,
( ~ holdsAt(waterLevel(X2),n1)
| X1 != tapOn
| esk9_2(X1,waterLevel(X2)) = n1 ),
inference(spm,[status(thm)],[c_0_294,c_0_291]) ).
cnf(c_0_315,hypothesis,
( ~ happens(X1,n0)
| ~ initiates(X1,filling,n0)
| waterLevel(n0) != waterLevel(n1)
| holdsAt(waterLevel(n2),n1) ),
inference(sr,[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_142,c_0_295]),c_0_95]),c_0_112]),c_0_95]),c_0_112]),c_0_144])]),c_0_145]) ).
cnf(c_0_316,plain,
( ~ holdsAt(X1,n1)
| esk5_2(X1,n1) != overflow
| holdsAt(X1,n2)
| releasedAt(X1,n2) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_123]),c_0_138]),c_0_138]),c_0_234]) ).
cnf(c_0_317,plain,
( ~ holdsAt(X1,X2)
| holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| X2 = n0
| esk5_2(X1,X2) = overflow ),
inference(spm,[status(thm)],[c_0_88,c_0_123]) ).
cnf(c_0_318,plain,
( ~ stoppedIn(X4,X2,X5)
| ~ less(esk2_3(X4,X2,X5),X3)
| ~ less(X1,esk2_3(X4,X2,X5))
| stoppedIn(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_298]) ).
cnf(c_0_319,plain,
( waterLevel(X1) != waterLevel(n1)
| trajectory(filling,n1,waterLevel(plus(X1,X2)),X2) ),
inference(er,[status(thm)],[c_0_299]) ).
cnf(c_0_320,plain,
( ~ stoppedIn(n1,X1,n2)
| esk2_3(n1,X1,n2) = n1 ),
inference(spm,[status(thm)],[c_0_300,c_0_301]) ).
cnf(c_0_321,plain,
~ less(X1,X1),
inference(er,[status(thm)],[c_0_302]) ).
cnf(c_0_322,plain,
( ~ holdsAt(X1,n2)
| happens(tapOn,n1)
| holdsAt(X1,n1)
| releasedAt(X1,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_303]),c_0_138]),c_0_138])]) ).
cnf(c_0_323,plain,
~ holdsAt(spilling,n1),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_306]),c_0_109]),c_0_71]) ).
cnf(c_0_324,hypothesis,
( n3 != n1
| holdsAt(spilling,n1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_309]) ).
cnf(c_0_325,hypothesis,
( ~ holdsAt(waterLevel(X1),n0)
| X2 != tapOn
| X1 = esk9_2(X2,waterLevel(n0)) ),
inference(spm,[status(thm)],[c_0_310,c_0_56]) ).
cnf(c_0_326,plain,
( X1 != spilling
| waterLevel(n2) != waterLevel(n0)
| holdsAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_311,c_0_152]) ).
cnf(c_0_327,plain,
( n0 != n1
| waterLevel(n2) != waterLevel(n0) ),
inference(spm,[status(thm)],[c_0_312,c_0_152]) ).
cnf(c_0_328,plain,
( ~ holdsAt(waterLevel(X1),n1)
| waterLevel(n1) = waterLevel(X1) ),
inference(spm,[status(thm)],[c_0_313,c_0_314]) ).
cnf(c_0_329,hypothesis,
( ~ holdsAt(filling,n1)
| waterLevel(n0) != waterLevel(n1)
| holdsAt(waterLevel(n2),n1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_267]),c_0_161])]),c_0_277]),c_0_278]) ).
cnf(c_0_330,plain,
( ~ holdsAt(X1,n1)
| holdsAt(X1,n2)
| releasedAt(X1,n2)
| n0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_138]),c_0_138])]) ).
cnf(c_0_331,plain,
( ~ stoppedIn(X1,X2,X4)
| ~ less(esk2_3(X1,X2,X4),X3)
| stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_318,c_0_131]) ).
cnf(c_0_332,plain,
( ~ terminates(X1,X2,X3)
| X1 = tapOff
| X1 = overflow ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_333,plain,
trajectory(filling,n1,waterLevel(n2),n1),
inference(spm,[status(thm)],[c_0_319,c_0_138]) ).
cnf(c_0_334,plain,
~ stoppedIn(n1,X1,n2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_320]),c_0_321]) ).
cnf(c_0_335,plain,
( ~ holdsAt(X1,n2)
| happens(tapOn,n1)
| holdsAt(X1,n1)
| releasedAt(X1,n1) ),
inference(spm,[status(thm)],[c_0_270,c_0_322]) ).
cnf(c_0_336,hypothesis,
n3 != n1,
inference(spm,[status(thm)],[c_0_323,c_0_324]) ).
cnf(c_0_337,hypothesis,
( ~ holdsAt(waterLevel(X2),n0)
| X1 != tapOn
| X3 != tapOn
| esk9_2(X1,waterLevel(X2)) = esk9_2(X3,waterLevel(n0)) ),
inference(spm,[status(thm)],[c_0_325,c_0_291]) ).
cnf(c_0_338,plain,
( ~ releasedAt(X1,plus(n1,X2))
| releasedAt(X1,X2)
| waterLevel(esk9_2(tapOn,X1)) = X1 ),
inference(spm,[status(thm)],[c_0_279,c_0_95]) ).
cnf(c_0_339,hypothesis,
( waterLevel(n2) != waterLevel(n0)
| holdsAt(spilling,n1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_326]),c_0_327]) ).
cnf(c_0_340,plain,
( ~ holdsAt(filling,n1)
| waterLevel(n0) != waterLevel(n1)
| waterLevel(n2) = waterLevel(n1) ),
inference(spm,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_341,plain,
( ~ holdsAt(X2,X1)
| holdsAt(waterLevel(n3),X1)
| holdsAt(X2,plus(X1,n1))
| releasedAt(X2,X1)
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_121,c_0_137]) ).
cnf(c_0_342,plain,
( ~ holdsAt(X1,n1)
| holdsAt(X1,n2)
| releasedAt(X1,n1)
| n0 = n1 ),
inference(spm,[status(thm)],[c_0_270,c_0_330]) ).
cnf(c_0_343,plain,
( ~ stoppedIn(X1,X2,n2)
| esk2_3(X1,X2,n2) = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_301]),c_0_145]) ).
cnf(c_0_344,plain,
( ~ stoppedIn(X1,X2,X3)
| esk1_3(X1,X2,X3) = tapOn
| esk1_3(X1,X2,X3) = overflow ),
inference(spm,[status(thm)],[c_0_212,c_0_298]) ).
cnf(c_0_345,plain,
( ~ stoppedIn(X1,X2,X3)
| esk1_3(X1,X2,X3) = overflow
| esk1_3(X1,X2,X3) = tapOff ),
inference(spm,[status(thm)],[c_0_332,c_0_297]) ).
cnf(c_0_346,plain,
( ~ happens(X1,n1)
| ~ initiates(X1,filling,n1)
| holdsAt(waterLevel(n2),n2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_333]),c_0_138]),c_0_138]),c_0_144])]),c_0_334]) ).
cnf(c_0_347,hypothesis,
( ~ holdsAt(filling,n2)
| happens(tapOn,n1)
| holdsAt(filling,n1) ),
inference(spm,[status(thm)],[c_0_277,c_0_335]) ).
cnf(c_0_348,plain,
holdsAt(filling,n2),
inference(sr,[status(thm)],[c_0_186,c_0_336]) ).
cnf(c_0_349,hypothesis,
( ~ holdsAt(waterLevel(X2),n0)
| X1 != tapOn
| X3 != tapOn
| waterLevel(esk9_2(X1,waterLevel(X2))) = waterLevel(n0) ),
inference(spm,[status(thm)],[c_0_291,c_0_337]) ).
cnf(c_0_350,plain,
( ~ releasedAt(X1,n1)
| releasedAt(X1,n0)
| waterLevel(esk9_2(tapOn,X1)) = X1 ),
inference(spm,[status(thm)],[c_0_338,c_0_112]) ).
cnf(c_0_351,hypothesis,
waterLevel(n2) != waterLevel(n0),
inference(spm,[status(thm)],[c_0_323,c_0_339]) ).
cnf(c_0_352,plain,
( waterLevel(n0) != waterLevel(n1)
| waterLevel(n2) = waterLevel(n1) ),
inference(spm,[status(thm)],[c_0_340,c_0_152]) ).
cnf(c_0_353,plain,
( ~ holdsAt(X1,n2)
| holdsAt(X1,n3)
| holdsAt(waterLevel(n3),n2)
| releasedAt(X1,n1)
| n2 = n0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_341]),c_0_95]),c_0_240]) ).
cnf(c_0_354,plain,
( X1 != filling
| holdsAt(X1,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_342]),c_0_151]),c_0_152]),c_0_153]) ).
cnf(c_0_355,plain,
( X1 != filling
| n2 != n0
| holdsAt(X1,n3) ),
inference(spm,[status(thm)],[c_0_141,c_0_240]) ).
cnf(c_0_356,plain,
plus(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[plus0_2]) ).
cnf(c_0_357,plain,
( ~ stoppedIn(X1,X2,n2)
| happens(esk1_3(X1,X2,n2),n1) ),
inference(spm,[status(thm)],[c_0_298,c_0_343]) ).
cnf(c_0_358,plain,
( ~ stoppedIn(X1,X2,X3)
| esk1_3(X1,X2,X3) = overflow ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_72]),c_0_71]) ).
cnf(c_0_359,plain,
( ~ happens(X1,n1)
| ~ epred1_3(filling,X1,n1)
| holdsAt(waterLevel(n2),n2) ),
inference(spm,[status(thm)],[c_0_346,c_0_68]) ).
cnf(c_0_360,hypothesis,
( happens(tapOn,n1)
| holdsAt(filling,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_347,c_0_348])]) ).
fof(c_0_361,plain,
! [X108] :
( ( less(X108,n9)
| ~ less_or_equal(X108,n8) )
& ( less_or_equal(X108,n8)
| ~ less(X108,n9) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less9])])]) ).
fof(c_0_362,plain,
! [X24,X25,X26,X29,X30,X31,X32,X33] :
( ( startedIn(X29,X31,X30)
| ~ initiates(X32,X31,X33)
| ~ less(X33,X30)
| ~ less(X29,X33)
| ~ happens(X32,X33) )
& ( ~ startedIn(X24,X26,X25)
| initiates(esk3_3(X24,X25,X26),X26,esk4_3(X24,X25,X26)) )
& ( ~ startedIn(X24,X26,X25)
| less(esk4_3(X24,X25,X26),X25) )
& ( ~ startedIn(X24,X26,X25)
| less(X24,esk4_3(X24,X25,X26)) )
& ( ~ startedIn(X24,X26,X25)
| happens(esk3_3(X24,X25,X26),esk4_3(X24,X25,X26)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[startedin_defn])])])])])])]) ).
cnf(c_0_363,hypothesis,
( ~ holdsAt(waterLevel(X2),n0)
| X1 != tapOn
| waterLevel(esk9_2(X1,waterLevel(X2))) = waterLevel(n0) ),
inference(er,[status(thm)],[c_0_349]) ).
cnf(c_0_364,plain,
( ~ holdsAt(X1,n1)
| ~ releasedAt(X1,n1)
| releasedAt(X1,n0)
| esk9_2(tapOn,X1) = n1 ),
inference(spm,[status(thm)],[c_0_294,c_0_350]) ).
cnf(c_0_365,hypothesis,
waterLevel(n0) != waterLevel(n1),
inference(spm,[status(thm)],[c_0_351,c_0_352]) ).
cnf(c_0_366,plain,
( X1 != filling
| holdsAt(X1,n3)
| holdsAt(waterLevel(n3),n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_353]),c_0_151]),c_0_354]),c_0_355]) ).
cnf(c_0_367,hypothesis,
trajectory(filling,n0,waterLevel(n2),n2),
inference(spm,[status(thm)],[c_0_280,c_0_356]) ).
cnf(c_0_368,plain,
~ stoppedIn(X1,X2,n2),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_357]),c_0_234]),c_0_358]) ).
cnf(c_0_369,plain,
( ~ epred1_3(filling,tapOn,n1)
| holdsAt(filling,n1)
| holdsAt(waterLevel(n2),n2) ),
inference(spm,[status(thm)],[c_0_359,c_0_360]) ).
cnf(c_0_370,plain,
( ~ less_or_equal(X1,n8)
| less(X1,n9) ),
inference(split_conjunct,[status(thm)],[c_0_361]) ).
fof(c_0_371,plain,
! [X107] :
( ( less(X107,n8)
| ~ less_or_equal(X107,n7) )
& ( less_or_equal(X107,n7)
| ~ less(X107,n8) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less8])])]) ).
cnf(c_0_372,plain,
( ~ startedIn(X1,X3,X2)
| initiates(esk3_3(X1,X2,X3),X3,esk4_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_362]) ).
cnf(c_0_373,plain,
( ~ startedIn(X1,X3,X2)
| happens(esk3_3(X1,X2,X3),esk4_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_362]) ).
fof(c_0_374,plain,
! [X105] :
( ( less(X105,n6)
| ~ less_or_equal(X105,n5) )
& ( less_or_equal(X105,n5)
| ~ less(X105,n6) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less6])])]) ).
fof(c_0_375,plain,
( ~ epred9_0
<=> ! [X2] :
( X2 != overflow
| ~ happens(X2,n2) ) ),
introduced(definition) ).
cnf(c_0_376,hypothesis,
( ~ holdsAt(waterLevel(X1),n1)
| ~ holdsAt(waterLevel(X1),n0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_364]),c_0_232])]),c_0_365]),c_0_155]) ).
cnf(c_0_377,plain,
( holdsAt(filling,n3)
| holdsAt(waterLevel(n3),n2) ),
inference(er,[status(thm)],[c_0_366]) ).
cnf(c_0_378,hypothesis,
( ~ happens(X1,n0)
| ~ less(n0,n2)
| ~ initiates(X1,filling,n0)
| holdsAt(waterLevel(n2),n2) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_367]),c_0_356]),c_0_356]),c_0_368]) ).
cnf(c_0_379,plain,
( holdsAt(filling,n1)
| holdsAt(waterLevel(n2),n2) ),
inference(spm,[status(thm)],[c_0_369,c_0_80]) ).
cnf(c_0_380,plain,
less(n8,n9),
inference(spm,[status(thm)],[c_0_370,c_0_130]) ).
cnf(c_0_381,plain,
( ~ less_or_equal(X1,n7)
| less(X1,n8) ),
inference(split_conjunct,[status(thm)],[c_0_371]) ).
cnf(c_0_382,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
fof(c_0_383,plain,
! [X106] :
( ( less(X106,n7)
| ~ less_or_equal(X106,n6) )
& ( less_or_equal(X106,n6)
| ~ less(X106,n7) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less7])])]) ).
fof(c_0_384,plain,
! [X104] :
( ( less(X104,n5)
| ~ less_or_equal(X104,n4) )
& ( less_or_equal(X104,n4)
| ~ less(X104,n5) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less5])])]) ).
cnf(c_0_385,plain,
( ~ startedIn(X2,X1,X3)
| holdsAt(X1,plus(n1,esk4_3(X2,X3,X1))) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_372]),c_0_95]),c_0_373]) ).
cnf(c_0_386,plain,
( ~ startedIn(X1,X3,X2)
| esk4_3(X1,X2,X3) = n0
| esk3_3(X1,X2,X3) = overflow ),
inference(spm,[status(thm)],[c_0_88,c_0_373]) ).
cnf(c_0_387,plain,
( ~ less_or_equal(X1,n5)
| less(X1,n6) ),
inference(split_conjunct,[status(thm)],[c_0_374]) ).
cnf(c_0_388,plain,
( ~ holdsAt(X1,n2)
| initiates(tapOn,X1,n1)
| holdsAt(X1,n1)
| releasedAt(X1,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_249]),c_0_138]),c_0_138])]) ).
cnf(c_0_389,plain,
( ~ happens(X1,n2)
| X1 != overflow
| epred9_0 ),
inference(split_equiv,[status(thm)],[c_0_375]) ).
cnf(c_0_390,hypothesis,
( X1 != n2
| trajectory(filling,n0,waterLevel(X1),n2) ),
inference(spm,[status(thm)],[c_0_100,c_0_356]) ).
cnf(c_0_391,hypothesis,
( ~ holdsAt(filling,n2)
| holdsAt(filling,n1)
| n0 = n1 ),
inference(spm,[status(thm)],[c_0_277,c_0_288]) ).
cnf(c_0_392,hypothesis,
~ holdsAt(waterLevel(n0),n1),
inference(spm,[status(thm)],[c_0_376,c_0_56]) ).
cnf(c_0_393,plain,
( ~ holdsAt(waterLevel(X1),n2)
| holdsAt(filling,n3)
| X1 = n3 ),
inference(spm,[status(thm)],[c_0_164,c_0_377]) ).
cnf(c_0_394,hypothesis,
( ~ less(n0,n2)
| holdsAt(waterLevel(n2),n2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_267]),c_0_161])]),c_0_277]),c_0_278]),c_0_379]) ).
cnf(c_0_395,plain,
~ less(n9,n8),
inference(spm,[status(thm)],[c_0_187,c_0_380]) ).
cnf(c_0_396,plain,
( ~ less(X1,n7)
| less(X1,n8) ),
inference(spm,[status(thm)],[c_0_381,c_0_382]) ).
cnf(c_0_397,plain,
( ~ less_or_equal(X1,n6)
| less(X1,n7) ),
inference(split_conjunct,[status(thm)],[c_0_383]) ).
cnf(c_0_398,plain,
( ~ less_or_equal(X1,n4)
| less(X1,n5) ),
inference(split_conjunct,[status(thm)],[c_0_384]) ).
cnf(c_0_399,plain,
( ~ happens(X2,esk4_3(X3,X4,X1))
| ~ startedIn(X3,X1,X4)
| X2 != overflow
| X1 != filling ),
inference(spm,[status(thm)],[c_0_194,c_0_385]) ).
cnf(c_0_400,plain,
( ~ startedIn(X1,X3,X2)
| happens(overflow,esk4_3(X1,X2,X3))
| esk4_3(X1,X2,X3) = n0 ),
inference(spm,[status(thm)],[c_0_373,c_0_386]) ).
cnf(c_0_401,plain,
less(n5,n6),
inference(spm,[status(thm)],[c_0_387,c_0_130]) ).
fof(c_0_402,plain,
! [X103] :
( ( less(X103,n4)
| ~ less_or_equal(X103,n3) )
& ( less_or_equal(X103,n3)
| ~ less(X103,n4) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less4])])]) ).
cnf(c_0_403,plain,
( ~ holdsAt(X1,n2)
| holdsAt(X1,n1)
| releasedAt(X1,n2)
| epred1_3(X1,tapOn,n1) ),
inference(spm,[status(thm)],[c_0_266,c_0_388]) ).
cnf(c_0_404,plain,
( ~ releasedAt(X1,plus(n1,X2))
| releasedAt(X1,X2)
| releasedAt(X1,n1) ),
inference(spm,[status(thm)],[c_0_251,c_0_95]) ).
cnf(c_0_405,plain,
( ~ holdsAt(X1,n3)
| esk6_2(X1,n2) != overflow
| holdsAt(X1,n2)
| releasedAt(X1,n3)
| epred9_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_213]),c_0_95]),c_0_240]),c_0_95]),c_0_240]) ).
cnf(c_0_406,plain,
( ~ holdsAt(filling,X2)
| ~ holdsAt(waterLevel(n3),X2)
| X1 != spilling
| holdsAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_254,c_0_95]) ).
cnf(c_0_407,hypothesis,
( ~ happens(X2,n0)
| ~ less(n0,n2)
| ~ initiates(X2,filling,n0)
| X1 != n2
| holdsAt(waterLevel(X1),n2) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_390]),c_0_356]),c_0_356]),c_0_368]) ).
cnf(c_0_408,hypothesis,
( holdsAt(filling,n1)
| n0 = n1 ),
inference(spm,[status(thm)],[c_0_391,c_0_354]) ).
cnf(c_0_409,plain,
n0 != n1,
inference(spm,[status(thm)],[c_0_392,c_0_273]) ).
fof(c_0_410,plain,
( ~ epred25_0
<=> ! [X1] :
( X1 != filling
| ~ holdsAt(X1,n3) ) ),
introduced(definition) ).
cnf(c_0_411,hypothesis,
( ~ less(n0,n2)
| holdsAt(filling,n3)
| n2 = n3 ),
inference(spm,[status(thm)],[c_0_393,c_0_394]) ).
cnf(c_0_412,plain,
( ~ less(X1,n1)
| less(X1,n2) ),
inference(spm,[status(thm)],[c_0_177,c_0_382]) ).
cnf(c_0_413,plain,
~ less(n9,n7),
inference(spm,[status(thm)],[c_0_395,c_0_396]) ).
cnf(c_0_414,plain,
( ~ less(X1,n6)
| less(X1,n7) ),
inference(spm,[status(thm)],[c_0_397,c_0_382]) ).
cnf(c_0_415,plain,
( ~ less(X1,n5)
| less(X1,n6) ),
inference(spm,[status(thm)],[c_0_387,c_0_382]) ).
cnf(c_0_416,plain,
( ~ less(X1,n4)
| less(X1,n5) ),
inference(spm,[status(thm)],[c_0_398,c_0_382]) ).
cnf(c_0_417,plain,
( ~ initiates(X1,X5,X2)
| ~ less(X2,X4)
| ~ less(X3,X2)
| ~ happens(X1,X2)
| startedIn(X3,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_362]) ).
cnf(c_0_418,plain,
( ~ startedIn(X1,X3,X2)
| less(X1,esk4_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_362]) ).
cnf(c_0_419,plain,
( ~ startedIn(X1,X3,X2)
| X3 != filling
| esk4_3(X1,X2,X3) = n0 ),
inference(spm,[status(thm)],[c_0_399,c_0_400]) ).
cnf(c_0_420,plain,
~ less(n6,n5),
inference(spm,[status(thm)],[c_0_187,c_0_401]) ).
cnf(c_0_421,plain,
( ~ less_or_equal(X1,n3)
| less(X1,n4) ),
inference(split_conjunct,[status(thm)],[c_0_402]) ).
cnf(c_0_422,plain,
( ~ holdsAt(X1,n2)
| holdsAt(X1,n1)
| releasedAt(X1,n1)
| epred1_3(X1,tapOn,n1) ),
inference(spm,[status(thm)],[c_0_270,c_0_403]) ).
cnf(c_0_423,plain,
( ~ releasedAt(X1,n3)
| releasedAt(X1,n1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_240]),c_0_270]) ).
cnf(c_0_424,plain,
( ~ holdsAt(X1,n3)
| holdsAt(X1,n2)
| releasedAt(X1,n3)
| epred9_0
| n2 = n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_253]),c_0_95]),c_0_240]),c_0_95]),c_0_240])]) ).
cnf(c_0_425,plain,
( ~ holdsAt(filling,n2)
| ~ holdsAt(waterLevel(n3),n2)
| X1 != spilling
| holdsAt(X1,n3) ),
inference(spm,[status(thm)],[c_0_406,c_0_240]) ).
cnf(c_0_426,hypothesis,
( ~ less(n0,n2)
| ~ holdsAt(filling,n1)
| X1 != n2
| holdsAt(waterLevel(X1),n2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_267]),c_0_161])]),c_0_277]),c_0_278]) ).
cnf(c_0_427,hypothesis,
holdsAt(filling,n1),
inference(sr,[status(thm)],[c_0_408,c_0_409]) ).
cnf(c_0_428,plain,
( ~ holdsAt(X1,n3)
| X1 != filling
| epred25_0 ),
inference(split_equiv,[status(thm)],[c_0_410]) ).
cnf(c_0_429,hypothesis,
( holdsAt(filling,n3)
| n2 = n3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_144])]) ).
cnf(c_0_430,plain,
~ less(n9,n6),
inference(spm,[status(thm)],[c_0_413,c_0_414]) ).
cnf(c_0_431,plain,
( ~ less(X1,n4)
| less(X1,n6) ),
inference(spm,[status(thm)],[c_0_415,c_0_416]) ).
fof(c_0_432,plain,
( ~ epred12_0
<=> ! [X2] :
( X2 != tapOn
| ~ happens(X2,n3) ) ),
introduced(definition) ).
fof(c_0_433,plain,
( ~ epred52_0
<=> ! [X1,X3,X5,X4] :
( X4 != tapOn
| ~ less(X1,X5)
| ~ less(X5,X3)
| ~ happens(X4,X5) ) ),
introduced(definition) ).
cnf(c_0_434,plain,
( ~ happens(X4,X5)
| ~ less(X5,X3)
| ~ less(X1,X5)
| ~ epred1_3(X2,X4,X5)
| startedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_417,c_0_68]) ).
cnf(c_0_435,plain,
( ~ startedIn(X2,X1,X3)
| X1 != filling ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_419]),c_0_103]) ).
cnf(c_0_436,plain,
~ less(n6,n4),
inference(spm,[status(thm)],[c_0_420,c_0_416]) ).
cnf(c_0_437,plain,
( ~ less(X1,n3)
| less(X1,n4) ),
inference(spm,[status(thm)],[c_0_421,c_0_382]) ).
cnf(c_0_438,hypothesis,
( ~ holdsAt(spilling,n2)
| epred1_3(spilling,tapOn,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_422]),c_0_323]) ).
cnf(c_0_439,plain,
( ~ holdsAt(X1,n3)
| holdsAt(X1,n2)
| releasedAt(X1,n1)
| epred9_0
| n2 = n0 ),
inference(spm,[status(thm)],[c_0_423,c_0_424]) ).
cnf(c_0_440,plain,
( ~ holdsAt(waterLevel(n3),n2)
| X1 != spilling
| holdsAt(X1,n3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_425,c_0_348])]) ).
cnf(c_0_441,hypothesis,
( ~ less(n0,n2)
| X1 != n2
| holdsAt(waterLevel(X1),n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_426,c_0_427])]) ).
cnf(c_0_442,hypothesis,
( epred25_0
| n2 = n3 ),
inference(spm,[status(thm)],[c_0_428,c_0_429]) ).
cnf(c_0_443,plain,
~ less(n9,n4),
inference(spm,[status(thm)],[c_0_430,c_0_431]) ).
cnf(c_0_444,plain,
( ~ less(X1,n2)
| less(X1,n3) ),
inference(spm,[status(thm)],[c_0_184,c_0_382]) ).
cnf(c_0_445,plain,
( less(X2,X1)
| X1 = X2
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_446,plain,
( ~ happens(X1,n3)
| X1 != tapOn
| epred12_0 ),
inference(split_equiv,[status(thm)],[c_0_432]) ).
cnf(c_0_447,plain,
plus(n1,n3) = n4,
inference(split_conjunct,[status(thm)],[plus1_3]) ).
cnf(c_0_448,plain,
~ epred52_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_434,c_0_80]),c_0_435]),c_0_178]),c_0_433]),c_0_204])]) ).
cnf(c_0_449,plain,
~ less(n6,n3),
inference(spm,[status(thm)],[c_0_436,c_0_437]) ).
cnf(c_0_450,plain,
~ holdsAt(spilling,n2),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_438]),c_0_306]),c_0_109]),c_0_71]) ).
cnf(c_0_451,hypothesis,
( ~ holdsAt(spilling,n3)
| holdsAt(spilling,n2)
| epred9_0
| n2 = n0 ),
inference(spm,[status(thm)],[c_0_284,c_0_439]) ).
cnf(c_0_452,plain,
( ~ less(n0,n2)
| X1 != spilling
| n2 != n3
| holdsAt(X1,n3) ),
inference(spm,[status(thm)],[c_0_440,c_0_441]) ).
cnf(c_0_453,plain,
( ~ epred9_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_240]),c_0_410]),c_0_375]) ).
cnf(c_0_454,hypothesis,
epred25_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_442]),c_0_321]) ).
cnf(c_0_455,plain,
( ~ less(n0,n2)
| n2 != n3
| n2 != n0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_441]),c_0_348])]),c_0_275]) ).
cnf(c_0_456,plain,
~ less(n9,n3),
inference(spm,[status(thm)],[c_0_443,c_0_437]) ).
cnf(c_0_457,plain,
( less(X1,n3)
| less(n2,X1)
| n2 = X1 ),
inference(spm,[status(thm)],[c_0_444,c_0_445]) ).
cnf(c_0_458,plain,
( ~ holdsAt(X1,n2)
| esk5_2(X1,n2) != overflow
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| epred9_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_123]),c_0_95]),c_0_240]),c_0_95]),c_0_240]) ).
cnf(c_0_459,plain,
( ~ holdsAt(X1,n3)
| esk5_2(X1,n3) != tapOn
| holdsAt(X1,n4)
| releasedAt(X1,n4)
| epred12_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_123]),c_0_95]),c_0_447]),c_0_95]),c_0_447]) ).
cnf(c_0_460,plain,
( ~ holdsAt(X1,X2)
| holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| esk5_2(X1,X2) = tapOn
| esk5_2(X1,X2) = overflow ),
inference(spm,[status(thm)],[c_0_212,c_0_123]) ).
cnf(c_0_461,plain,
( ~ happens(X1,X2)
| ~ less(X4,X2)
| ~ less(X2,X3)
| X1 != tapOn ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_433]),c_0_448]) ).
cnf(c_0_462,plain,
( less(n3,n6)
| n6 = n3 ),
inference(spm,[status(thm)],[c_0_449,c_0_445]) ).
cnf(c_0_463,hypothesis,
( ~ holdsAt(spilling,n3)
| epred9_0
| n2 = n0 ),
inference(spm,[status(thm)],[c_0_450,c_0_451]) ).
cnf(c_0_464,plain,
( X1 != spilling
| n2 != n3
| holdsAt(X1,n3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_412]),c_0_144])]) ).
cnf(c_0_465,plain,
~ epred9_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_453,c_0_454])]) ).
cnf(c_0_466,plain,
( n2 != n3
| n2 != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_412]),c_0_144])]) ).
cnf(c_0_467,plain,
( less(n2,n9)
| n9 = n2 ),
inference(spm,[status(thm)],[c_0_456,c_0_457]) ).
cnf(c_0_468,plain,
( ~ holdsAt(X1,n2)
| holdsAt(X1,n3)
| releasedAt(X1,n3)
| epred9_0
| n2 = n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_317]),c_0_95]),c_0_240]),c_0_95]),c_0_240])]) ).
cnf(c_0_469,plain,
( ~ holdsAt(X1,n3)
| holdsAt(X1,n4)
| releasedAt(X1,n4)
| epred12_0
| esk5_2(X1,n3) = overflow ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_460]),c_0_95]),c_0_447]),c_0_95]),c_0_447])]) ).
cnf(c_0_470,plain,
( ~ happens(X1,n3)
| ~ less(X2,n3)
| X1 != tapOn
| n6 = n3 ),
inference(spm,[status(thm)],[c_0_461,c_0_462]) ).
cnf(c_0_471,hypothesis,
n2 != n3,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_464]),c_0_465]),c_0_466]) ).
cnf(c_0_472,plain,
( ~ happens(X1,n2)
| ~ less(X2,n2)
| X1 != tapOn
| n9 = n2 ),
inference(spm,[status(thm)],[c_0_461,c_0_467]) ).
cnf(c_0_473,plain,
( ~ holdsAt(X1,n3)
| holdsAt(X1,n4)
| holdsAt(waterLevel(n3),n3)
| releasedAt(X1,n1)
| n3 = n0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_341]),c_0_95]),c_0_447]) ).
cnf(c_0_474,plain,
( X1 != filling
| n3 != n0
| holdsAt(X1,n4) ),
inference(spm,[status(thm)],[c_0_141,c_0_447]) ).
cnf(c_0_475,plain,
( ~ holdsAt(X1,n2)
| holdsAt(X1,n3)
| releasedAt(X1,n1)
| epred9_0
| n2 = n0 ),
inference(spm,[status(thm)],[c_0_423,c_0_468]) ).
cnf(c_0_476,plain,
( ~ releasedAt(X1,n4)
| releasedAt(X1,n1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_447]),c_0_423]) ).
cnf(c_0_477,plain,
( ~ holdsAt(X1,n3)
| happens(overflow,n3)
| holdsAt(X1,n4)
| releasedAt(X1,n4)
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_469]),c_0_95]),c_0_447]),c_0_95]),c_0_447])]) ).
cnf(c_0_478,plain,
( ~ happens(X1,n3)
| X1 != tapOn
| n6 = n3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_457]),c_0_471]),c_0_321]) ).
cnf(c_0_479,plain,
less(n4,n5),
inference(spm,[status(thm)],[c_0_398,c_0_130]) ).
cnf(c_0_480,plain,
( ~ holdsAt(filling,n2)
| ~ holdsAt(waterLevel(n3),n2)
| X1 != overflow
| epred9_0 ),
inference(spm,[status(thm)],[c_0_389,c_0_218]) ).
cnf(c_0_481,plain,
( ~ less(X1,n3)
| less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_482,plain,
( ~ terminates(X2,X1,X3)
| X1 = filling
| X1 = filling ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_483,plain,
( ~ happens(X1,n2)
| X1 != tapOn
| n9 = n2 ),
inference(spm,[status(thm)],[c_0_472,c_0_188]) ).
cnf(c_0_484,plain,
( ~ holdsAt(X1,n3)
| X1 != filling
| holdsAt(X1,n4)
| holdsAt(waterLevel(n3),n3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_473]),c_0_151]),c_0_474]) ).
cnf(c_0_485,plain,
( X1 != filling
| holdsAt(X1,n3)
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_475]),c_0_151]),c_0_354]),c_0_355]) ).
cnf(c_0_486,plain,
( ~ holdsAt(X1,n3)
| happens(overflow,n3)
| holdsAt(X1,n4)
| releasedAt(X1,n1)
| epred12_0 ),
inference(spm,[status(thm)],[c_0_476,c_0_477]) ).
cnf(c_0_487,plain,
( less(X1,n1)
| less(n2,X1)
| X1 = n1
| n2 = X1 ),
inference(spm,[status(thm)],[c_0_282,c_0_445]) ).
cnf(c_0_488,plain,
( X1 != tapOn
| n3 != n0
| n6 = n3 ),
inference(spm,[status(thm)],[c_0_478,c_0_99]) ).
cnf(c_0_489,plain,
~ less(n5,n4),
inference(spm,[status(thm)],[c_0_187,c_0_479]) ).
cnf(c_0_490,plain,
( ~ holdsAt(filling,n2)
| X1 != overflow
| holdsAt(filling,n3)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_480,c_0_377]) ).
cnf(c_0_491,plain,
( ~ less(X1,n3)
| less(X1,n2)
| X1 = n2 ),
inference(spm,[status(thm)],[c_0_101,c_0_481]) ).
cnf(c_0_492,plain,
( ~ terminates(X2,X1,X3)
| X1 = filling ),
inference(cn,[status(thm)],[c_0_482]) ).
cnf(c_0_493,plain,
( X1 != tapOn
| n2 != n0
| n9 = n2 ),
inference(spm,[status(thm)],[c_0_483,c_0_99]) ).
cnf(c_0_494,plain,
( X1 != filling
| holdsAt(X1,n4)
| holdsAt(waterLevel(n3),n3)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_484,c_0_485]) ).
cnf(c_0_495,plain,
( ~ holdsAt(X1,n3)
| X1 != filling
| happens(overflow,n3)
| holdsAt(X1,n4)
| epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_486]),c_0_151]) ).
fof(c_0_496,plain,
( ~ epred57_0
<=> ! [X2] : ~ less(X2,n3) ),
introduced(definition) ).
cnf(c_0_497,plain,
( ~ less(X1,n4)
| less_or_equal(X1,n3) ),
inference(split_conjunct,[status(thm)],[c_0_402]) ).
cnf(c_0_498,plain,
( ~ happens(X4,X5)
| ~ less(X5,X3)
| ~ less(X1,X5)
| X4 != overflow
| X2 != filling
| stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_296,c_0_170]) ).
cnf(c_0_499,plain,
( less(n2,X1)
| X1 = n0
| n2 = X1
| X1 = n1 ),
inference(spm,[status(thm)],[c_0_118,c_0_487]) ).
cnf(c_0_500,plain,
( n3 != n0
| n6 = n3 ),
inference(er,[status(thm)],[c_0_488]) ).
cnf(c_0_501,plain,
~ less(n5,n3),
inference(spm,[status(thm)],[c_0_489,c_0_437]) ).
cnf(c_0_502,plain,
( X1 != overflow
| holdsAt(filling,n3)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_490,c_0_354]) ).
cnf(c_0_503,plain,
( ~ less(X1,n3)
| ~ less(n2,X1)
| X1 = n2 ),
inference(spm,[status(thm)],[c_0_187,c_0_491]) ).
cnf(c_0_504,plain,
( ~ stoppedIn(X2,X1,X3)
| ~ holdsAt(X1,plus(n1,esk2_3(X2,X1,X3))) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_297]),c_0_95]),c_0_298]) ).
cnf(c_0_505,plain,
( ~ stoppedIn(X2,X1,X3)
| X1 = filling ),
inference(spm,[status(thm)],[c_0_492,c_0_297]) ).
cnf(c_0_506,plain,
plus(n0,n3) = n3,
inference(split_conjunct,[status(thm)],[plus0_3]) ).
cnf(c_0_507,plain,
( less(n0,X1)
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_103,c_0_445]) ).
cnf(c_0_508,plain,
( less(n3,n9)
| n9 = n3 ),
inference(spm,[status(thm)],[c_0_456,c_0_445]) ).
cnf(c_0_509,plain,
( n2 != n0
| n9 = n2 ),
inference(er,[status(thm)],[c_0_493]) ).
cnf(c_0_510,plain,
~ less(n3,n2),
inference(spm,[status(thm)],[c_0_187,c_0_198]) ).
cnf(c_0_511,plain,
( holdsAt(filling,n4)
| holdsAt(waterLevel(n3),n3)
| epred9_0 ),
inference(er,[status(thm)],[c_0_494]) ).
cnf(c_0_512,plain,
( X1 != filling
| happens(overflow,n3)
| holdsAt(X1,n4)
| epred9_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_495,c_0_485]) ).
cnf(c_0_513,plain,
less(n3,n4),
inference(spm,[status(thm)],[c_0_421,c_0_130]) ).
cnf(c_0_514,plain,
( ~ less(X1,n3)
| epred57_0 ),
inference(split_equiv,[status(thm)],[c_0_496]) ).
cnf(c_0_515,plain,
( ~ less(X1,n4)
| less(X1,n3)
| X1 = n3 ),
inference(spm,[status(thm)],[c_0_101,c_0_497]) ).
cnf(c_0_516,plain,
( ~ happens(X4,X1)
| ~ less(X1,X3)
| X2 != filling
| stoppedIn(n2,X2,X3)
| X1 = n1
| n2 = X1
| X1 = n0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_499]),c_0_88]) ).
cnf(c_0_517,plain,
n3 != n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_500]),c_0_501]) ).
cnf(c_0_518,plain,
( holdsAt(filling,n3)
| epred9_0 ),
inference(er,[status(thm)],[c_0_502]) ).
cnf(c_0_519,plain,
( ~ less(X1,n3)
| X1 = n2
| X1 = n1
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_503,c_0_499]) ).
cnf(c_0_520,plain,
( ~ stoppedIn(X1,X2,X3)
| esk2_3(X1,X2,X3) != n0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_141]),c_0_505]) ).
cnf(c_0_521,hypothesis,
trajectory(filling,n0,waterLevel(n3),n3),
inference(spm,[status(thm)],[c_0_280,c_0_506]) ).
cnf(c_0_522,plain,
( less(n0,n3)
| n2 = n0 ),
inference(spm,[status(thm)],[c_0_444,c_0_507]) ).
cnf(c_0_523,plain,
n2 != n0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_509]),c_0_471]),c_0_510]) ).
cnf(c_0_524,plain,
( X4 != waterLevel(X1)
| X3 != overflow
| ~ holdsAt(waterLevel(X1),X2)
| epred1_3(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_525,plain,
( holdsAt(filling,n4)
| holdsAt(waterLevel(n3),n3) ),
inference(sr,[status(thm)],[c_0_511,c_0_465]) ).
cnf(c_0_526,plain,
( happens(overflow,n3)
| holdsAt(filling,n4)
| epred9_0
| epred12_0 ),
inference(er,[status(thm)],[c_0_512]) ).
cnf(c_0_527,plain,
( ~ epred12_0
| ~ epred57_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_513]),c_0_432]),c_0_496]) ).
cnf(c_0_528,plain,
epred57_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_457]),c_0_471]),c_0_321]) ).
fof(c_0_529,negated_conjecture,
~ holdsAt(waterLevel(n3),n4),
inference(assume_negation,[status(cth)],[waterLevel_4]) ).
cnf(c_0_530,plain,
( ~ stoppedIn(X1,X2,n4)
| less(esk2_3(X1,X2,n4),n3)
| esk2_3(X1,X2,n4) = n3 ),
inference(spm,[status(thm)],[c_0_515,c_0_119]) ).
cnf(c_0_531,plain,
( ~ happens(X2,n3)
| X1 != filling
| stoppedIn(n2,X1,n4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_513]),c_0_517]),c_0_471]),c_0_336]) ).
cnf(c_0_532,plain,
holdsAt(filling,n3),
inference(sr,[status(thm)],[c_0_518,c_0_465]) ).
cnf(c_0_533,plain,
( ~ stoppedIn(n2,X1,X2)
| ~ less(esk2_3(n2,X1,X2),n3)
| esk2_3(n2,X1,X2) = n2 ),
inference(spm,[status(thm)],[c_0_300,c_0_491]) ).
cnf(c_0_534,plain,
( ~ stoppedIn(X1,X2,X3)
| happens(overflow,esk2_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_298,c_0_358]) ).
cnf(c_0_535,plain,
( ~ stoppedIn(X1,X2,n3)
| esk2_3(X1,X2,n3) = n1
| esk2_3(X1,X2,n3) = n2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_119]),c_0_520]) ).
cnf(c_0_536,hypothesis,
( ~ happens(X1,n0)
| ~ less(n0,n3)
| ~ initiates(X1,filling,n0)
| stoppedIn(n0,filling,n3)
| holdsAt(waterLevel(n3),n3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_521]),c_0_506]),c_0_506]) ).
cnf(c_0_537,plain,
less(n0,n3),
inference(sr,[status(thm)],[c_0_522,c_0_523]) ).
cnf(c_0_538,plain,
( X2 != overflow
| X1 != waterLevel(n3)
| holdsAt(filling,n4)
| epred1_3(X1,X2,n3) ),
inference(spm,[status(thm)],[c_0_524,c_0_525]) ).
cnf(c_0_539,plain,
( happens(overflow,n3)
| holdsAt(filling,n4)
| epred12_0 ),
inference(sr,[status(thm)],[c_0_526,c_0_465]) ).
cnf(c_0_540,plain,
~ epred12_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_527,c_0_528])]) ).
fof(c_0_541,negated_conjecture,
~ holdsAt(waterLevel(n3),n4),
inference(fof_simplification,[status(thm)],[c_0_529]) ).
cnf(c_0_542,plain,
( ~ stoppedIn(X1,X2,n4)
| stoppedIn(X1,X2,n3)
| esk2_3(X1,X2,n4) = n3 ),
inference(spm,[status(thm)],[c_0_331,c_0_530]) ).
cnf(c_0_543,plain,
( ~ holdsAt(waterLevel(n3),n3)
| X2 != overflow
| X1 != filling
| stoppedIn(n2,X1,n4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_218]),c_0_532])]) ).
cnf(c_0_544,plain,
( ~ stoppedIn(n2,X1,n3)
| esk2_3(n2,X1,n3) = n2 ),
inference(spm,[status(thm)],[c_0_533,c_0_119]) ).
cnf(c_0_545,plain,
( ~ stoppedIn(X1,X2,n3)
| happens(overflow,n2)
| esk2_3(X1,X2,n3) = n1 ),
inference(spm,[status(thm)],[c_0_534,c_0_535]) ).
cnf(c_0_546,hypothesis,
( ~ happens(X1,n0)
| ~ initiates(X1,filling,n0)
| stoppedIn(n0,filling,n3)
| holdsAt(waterLevel(n3),n3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_536,c_0_537])]) ).
cnf(c_0_547,plain,
( ~ happens(X2,n3)
| X2 != overflow
| X1 != waterLevel(n3)
| holdsAt(X1,n4)
| holdsAt(filling,n4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_538]),c_0_95]),c_0_447]) ).
cnf(c_0_548,plain,
( happens(overflow,n3)
| holdsAt(filling,n4) ),
inference(sr,[status(thm)],[c_0_539,c_0_540]) ).
fof(c_0_549,negated_conjecture,
~ holdsAt(waterLevel(n3),n4),
inference(fof_nnf,[status(thm)],[c_0_541]) ).
cnf(c_0_550,plain,
( ~ stoppedIn(X1,X2,n4)
| stoppedIn(X1,X2,n3)
| happens(overflow,n3) ),
inference(spm,[status(thm)],[c_0_534,c_0_542]) ).
cnf(c_0_551,plain,
( ~ holdsAt(waterLevel(n3),n3)
| X1 != filling
| stoppedIn(n2,X1,n4) ),
inference(er,[status(thm)],[c_0_543]) ).
cnf(c_0_552,plain,
~ stoppedIn(n2,X1,n3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_544]),c_0_321]) ).
cnf(c_0_553,plain,
( ~ stoppedIn(X1,X2,n3)
| happens(overflow,n1)
| happens(overflow,n2) ),
inference(spm,[status(thm)],[c_0_534,c_0_545]) ).
cnf(c_0_554,hypothesis,
( stoppedIn(n0,filling,n3)
| holdsAt(waterLevel(n3),n3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_267]),c_0_161]),c_0_427])]),c_0_277]),c_0_278]) ).
fof(c_0_555,plain,
( ~ epred24_0
<=> ! [X1] :
( X1 != filling
| ~ holdsAt(X1,n4) ) ),
introduced(definition) ).
cnf(c_0_556,plain,
( X1 != waterLevel(n3)
| holdsAt(X1,n4)
| holdsAt(filling,n4) ),
inference(spm,[status(thm)],[c_0_547,c_0_548]) ).
cnf(c_0_557,negated_conjecture,
~ holdsAt(waterLevel(n3),n4),
inference(split_conjunct,[status(thm)],[c_0_549]) ).
fof(c_0_558,plain,
( ~ epred6_0
<=> ! [X2] :
( X2 != overflow
| ~ happens(X2,n3) ) ),
introduced(definition) ).
cnf(c_0_559,plain,
( ~ holdsAt(waterLevel(n3),n3)
| X1 != filling
| happens(overflow,n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_551]),c_0_552]) ).
cnf(c_0_560,hypothesis,
( happens(overflow,n2)
| happens(overflow,n1)
| holdsAt(waterLevel(n3),n3) ),
inference(spm,[status(thm)],[c_0_553,c_0_554]) ).
cnf(c_0_561,plain,
( ~ holdsAt(X1,n4)
| X1 != filling
| epred24_0 ),
inference(split_equiv,[status(thm)],[c_0_555]) ).
cnf(c_0_562,plain,
holdsAt(filling,n4),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_556]),c_0_557]) ).
cnf(c_0_563,plain,
( ~ happens(X1,n3)
| X1 != overflow
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_558]) ).
cnf(c_0_564,plain,
( ~ holdsAt(waterLevel(n3),n3)
| happens(overflow,n3) ),
inference(er,[status(thm)],[c_0_559]) ).
cnf(c_0_565,hypothesis,
( happens(overflow,n1)
| holdsAt(waterLevel(n3),n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_560]),c_0_465]) ).
cnf(c_0_566,plain,
( ~ epred6_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_447]),c_0_555]),c_0_558]) ).
cnf(c_0_567,plain,
epred24_0,
inference(spm,[status(thm)],[c_0_561,c_0_562]) ).
cnf(c_0_568,plain,
( ~ holdsAt(waterLevel(n3),n3)
| epred6_0 ),
inference(spm,[status(thm)],[c_0_563,c_0_564]) ).
cnf(c_0_569,hypothesis,
holdsAt(waterLevel(n3),n3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_565]),c_0_234]) ).
cnf(c_0_570,plain,
~ epred6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_566,c_0_567])]) ).
cnf(c_0_571,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_568,c_0_569])]),c_0_570]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR001+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/10.39 % Computer : n004.cluster.edu
% 0.11/10.39 % Model : x86_64 x86_64
% 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39 % Memory : 8046.5625MB
% 0.11/10.39 % OS : Linux 6.8.0-71-generic
% 0.11/10.39 % CPULimit : 300
% 0.11/10.39 % WCLimit : 300
% 0.11/10.39 % DateTime : Mon Sep 21 14:23:18 UTC 2026
% 0.11/10.39 % CPUTime :
% 0.11/10.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/10.43 Running first-order theorem proving
% 0.15/10.44 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 51.73/17.92 % Version: 3.5.1
% 51.73/17.92 % Preprocessing class: FSLSSMSMSSSNFFN.
% 51.73/17.92 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 51.73/17.92 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 51.73/17.92 % Starting new_bool_3 with 300s (1) cores
% 51.73/17.92 % Starting new_bool_1 with 300s (1) cores
% 51.73/17.92 % Starting sh5l with 300s (1) cores
% 51.73/17.92 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3366711 completed with status 0
% 51.73/17.92 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 51.73/17.92 % Preprocessing class: FSLSSMSMSSSNFFN.
% 51.73/17.92 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 51.73/17.92 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 51.73/17.92 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 51.73/17.92 % No SInE strategy applied
% 51.73/17.92 % Search class: FGHSF-FSLM32-SFFFFFNN
% 51.73/17.92 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 51.73/17.92 % Starting SubtermCWHack with 136s (1) cores
% 51.73/17.92 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 51.73/17.92 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 51.73/17.92 % Starting new_bool_3 with 136s (1) cores
% 51.73/17.92 % Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 51.73/17.92 % G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 3366720 completed with status 0
% 51.73/17.92 % Result found by G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 51.73/17.92 % Preprocessing class: FSLSSMSMSSSNFFN.
% 51.73/17.92 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 51.73/17.92 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 51.73/17.92 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 51.73/17.92 % No SInE strategy applied
% 51.73/17.92 % Search class: FGHSF-FSLM32-SFFFFFNN
% 51.73/17.92 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 51.73/17.92 % Starting SubtermCWHack with 136s (1) cores
% 51.73/17.92 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 51.73/17.92 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 51.73/17.92 % Preprocessing time : 0.002 s
% 51.73/17.92 % Presaturation interreduction done
% 51.73/17.92
% 51.73/17.92 % Proof found!
% 51.73/17.92 % SZS status Theorem
% 51.73/17.92 % SZS output start CNFRefutation
% See solution above
% 51.73/17.92 % Parsed axioms : 55
% 51.73/17.92 % Removed by relevancy pruning/SinE : 0
% 51.73/17.92 % Initial clauses : 137
% 51.73/17.92 % Removed in clause preprocessing : 1
% 51.73/17.92 % Initial clauses in saturation : 136
% 51.73/17.92 % Processed clauses : 33245
% 51.73/17.92 % ...of these trivial : 373
% 51.73/17.92 % ...subsumed : 24975
% 51.73/17.92 % ...remaining for further processing : 7897
% 51.73/17.92 % Other redundant clauses eliminated : 2167
% 51.73/17.92 % Clauses deleted for lack of memory : 0
% 51.73/17.92 % Backward-subsumed : 3488
% 51.73/17.92 % Backward-rewritten : 772
% 51.73/17.92 % Generated clauses : 409885
% 51.73/17.92 % ...of the previous two non-redundant : 368901
% 51.73/17.92 % ...aggressively subsumed : 0
% 51.73/17.92 % Contextual simplify-reflections : 560
% 51.73/17.92 % Paramodulations : 406652
% 51.73/17.92 % Factorizations : 29
% 51.73/17.92 % NegExts : 0
% 51.73/17.92 % Equation resolutions : 3014
% 51.73/17.92 % Disequality decompositions : 0
% 51.73/17.92 % Total rewrite steps : 37218
% 51.73/17.92 % ...of those cached : 37105
% 51.73/17.92 % Propositional unsat checks : 0
% 51.73/17.92 % Propositional check models : 0
% 51.73/17.92 % Propositional check unsatisfiable : 0
% 51.73/17.92 % Propositional clauses : 0
% 51.73/17.92 % Propositional clauses after purity: 0
% 51.73/17.92 % Propositional unsat core size : 0
% 51.73/17.92 % Propositional preprocessing time : 0.000
% 51.73/17.92 % Propositional encoding time : 0.000
% 51.73/17.92 % Propositional solver time : 0.000
% 51.73/17.92 % Success case prop preproc time : 0.000
% 51.73/17.92 % Success case prop encoding time : 0.000
% 51.73/17.92 % Success case prop solver time : 0.000
% 51.73/17.92 % Current number of processed clauses : 3410
% 51.73/17.92 % Positive orientable unit clauses : 69
% 51.73/17.92 % Positive unorientable unit clauses: 1
% 51.73/17.92 % Negative unit clauses : 170
% 51.73/17.92 % Non-unit-clauses : 3170
% 51.73/17.92 % Current number of unprocessed clauses: 322168
% 51.73/17.92 % ...number of literals in the above : 3039466
% 51.73/17.92 % Current number of archived formulas : 0
% 51.73/17.92 % Current number of archived clauses : 4400
% 51.73/17.92 % Clause-clause subsumption calls (NU) : 3698430
% 51.73/17.92 % Rec. Clause-clause subsumption calls : 320545
% 51.73/17.92 % Non-unit clause-clause subsumptions : 17797
% 51.73/17.92 % Unit Clause-clause subsumption calls : 159976
% 51.73/17.92 % Rewrite failures with RHS unbound : 0
% 51.73/17.92 % BW rewrite match attempts : 184
% 51.73/17.92 % BW rewrite match successes : 78
% 51.73/17.92 % Condensation attempts : 0
% 51.73/17.92 % Condensation successes : 0
% 51.73/17.92 % Termbank termtop insertions : 8243216
% 51.73/17.92 % Search garbage collected termcells : 1494
% 51.73/17.92
% 51.73/17.92 % -------------------------------------------------
% 51.73/17.92 % User time : 7.177 s
% 51.73/17.92 % System time : 0.202 s
% 51.73/17.92 % Total time : 7.378 s
% 51.73/17.92 % Maximum resident set size: 3948 pages
% 51.73/17.92
% 51.73/17.92 % -------------------------------------------------
% 51.73/17.92 % User time : 35.965 s
% 51.73/17.92 % System time : 0.701 s
% 51.73/17.92 % Total time : 36.667 s
% 51.73/17.92 % Maximum resident set size: 4608 pages
% 51.73/17.92 % E exiting
%------------------------------------------------------------------------------