TSTP Solution File: CSR001+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : CSR001+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 18:53:14 EDT 2023
% Result : Theorem 5.05s 5.12s
% Output : CNFRefutation 5.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 75
% Syntax : Number of formulae : 298 ( 59 unt; 41 typ; 0 def)
% Number of atoms : 956 ( 309 equ)
% Maximal formula atoms : 194 ( 3 avg)
% Number of connectives : 961 ( 262 ~; 551 |; 122 &)
% ( 15 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 67 ( 26 >; 41 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-4 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-3 aty)
% Number of variables : 321 ( 17 sgn; 143 !; 14 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
stoppedIn: ( $i * $i * $i ) > $o ).
tff(decl_23,type,
happens: ( $i * $i ) > $o ).
tff(decl_24,type,
less: ( $i * $i ) > $o ).
tff(decl_25,type,
terminates: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
startedIn: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
initiates: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
n0: $i ).
tff(decl_29,type,
trajectory: ( $i * $i * $i * $i ) > $o ).
tff(decl_30,type,
plus: ( $i * $i ) > $i ).
tff(decl_31,type,
holdsAt: ( $i * $i ) > $o ).
tff(decl_32,type,
antitrajectory: ( $i * $i * $i * $i ) > $o ).
tff(decl_33,type,
n1: $i ).
tff(decl_34,type,
releasedAt: ( $i * $i ) > $o ).
tff(decl_35,type,
releases: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
tapOn: $i ).
tff(decl_37,type,
filling: $i ).
tff(decl_38,type,
overflow: $i ).
tff(decl_39,type,
spilling: $i ).
tff(decl_40,type,
waterLevel: $i > $i ).
tff(decl_41,type,
tapOff: $i ).
tff(decl_42,type,
n3: $i ).
tff(decl_43,type,
n2: $i ).
tff(decl_44,type,
n4: $i ).
tff(decl_45,type,
n5: $i ).
tff(decl_46,type,
n6: $i ).
tff(decl_47,type,
less_or_equal: ( $i * $i ) > $o ).
tff(decl_48,type,
n7: $i ).
tff(decl_49,type,
n8: $i ).
tff(decl_50,type,
n9: $i ).
tff(decl_51,type,
epred1_3: ( $i * $i * $i ) > $o ).
tff(decl_52,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
esk11_3: ( $i * $i * $i ) > $i ).
fof(initiates_all_defn,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> ( ( X4 = tapOn
& X2 = filling )
| ( X4 = overflow
& X2 = spilling )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = tapOff
& X2 = waterLevel(X9) )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = overflow
& X2 = waterLevel(X9) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).
fof(happens_holds,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& initiates(X4,X2,X5) )
=> holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_holds) ).
fof(happens_all_defn,axiom,
! [X4,X5] :
( happens(X4,X5)
<=> ( ( X4 = tapOn
& X5 = n0 )
| ( holdsAt(waterLevel(n3),X5)
& holdsAt(filling,X5)
& X4 = overflow ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
fof(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(keep_holding,axiom,
! [X2,X5] :
( ( holdsAt(X2,X5)
& ~ releasedAt(X2,plus(X5,n1))
& ~ ? [X4] :
( happens(X4,X5)
& terminates(X4,X2,X5) ) )
=> holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/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(plus1_1,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
fof(terminates_all_defn,axiom,
! [X4,X2,X5] :
( terminates(X4,X2,X5)
<=> ( ( X4 = tapOff
& X2 = filling )
| ( X4 = overflow
& X2 = filling ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',terminates_all_defn) ).
fof(happens_not_released,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& ( initiates(X4,X2,X5)
| terminates(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_not_released) ).
fof(keep_not_released,axiom,
! [X2,X5] :
( ( ~ releasedAt(X2,X5)
& ~ ? [X4] :
( happens(X4,X5)
& releases(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).
fof(waterLevel_4,conjecture,
holdsAt(waterLevel(n3),n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_4) ).
fof(tapOff_not_overflow,axiom,
tapOff != overflow,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',tapOff_not_overflow) ).
fof(tapOff_not_tapOn,axiom,
tapOff != tapOn,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',tapOff_not_tapOn) ).
fof(waterLevel_3,lemma,
holdsAt(waterLevel(n3),n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_3) ).
fof(plus1_3,axiom,
plus(n1,n3) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_3) ).
fof(filling_not_waterLevel,axiom,
! [X12] : filling != waterLevel(X12),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).
fof(overflow_not_tapOn,axiom,
overflow != tapOn,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',overflow_not_tapOn) ).
fof(plus1_2,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).
fof(releases_all_defn,axiom,
! [X4,X2,X5] :
( releases(X4,X2,X5)
<=> ? [X9] :
( X4 = tapOn
& X2 = waterLevel(X9) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',releases_all_defn) ).
fof(less_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(startedin_defn,axiom,
! [X1,X3,X2] :
( startedIn(X1,X2,X3)
<=> ? [X4,X5] :
( happens(X4,X5)
& less(X1,X5)
& less(X5,X3)
& initiates(X4,X2,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',startedin_defn) ).
fof(less_or_equal,axiom,
! [X12,X13] :
( less_or_equal(X12,X13)
<=> ( less(X12,X13)
| X12 = X13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
fof(less4,axiom,
! [X12] :
( less(X12,n4)
<=> less_or_equal(X12,n3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less4) ).
fof(less3,axiom,
! [X12] :
( less(X12,n3)
<=> less_or_equal(X12,n2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
fof(change_of_waterLevel,axiom,
! [X10,X5,X11,X7] :
( ( holdsAt(waterLevel(X10),X5)
& X11 = plus(X10,X7) )
=> trajectory(filling,X5,waterLevel(X11),X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).
fof(less1,axiom,
! [X12] :
( less(X12,n1)
<=> less_or_equal(X12,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
fof(change_holding,axiom,
! [X4,X5,X2,X6,X7] :
( ( happens(X4,X5)
& initiates(X4,X2,X5)
& less(n0,X7)
& trajectory(X2,X5,X6,X7)
& ~ stoppedIn(X5,X2,plus(X5,X7)) )
=> holdsAt(X6,plus(X5,X7)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',change_holding) ).
fof(waterLevel_0,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).
fof(less2,axiom,
! [X12] :
( less(X12,n2)
<=> less_or_equal(X12,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
fof(plus0_2,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_2) ).
fof(stoppedin_defn,axiom,
! [X1,X2,X3] :
( stoppedIn(X1,X2,X3)
<=> ? [X4,X5] :
( happens(X4,X5)
& less(X1,X5)
& less(X5,X3)
& terminates(X4,X2,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
fof(less0,axiom,
~ ? [X12] : less(X12,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
fof(same_waterLevel,axiom,
! [X5,X10,X11] :
( ( holdsAt(waterLevel(X10),X5)
& holdsAt(waterLevel(X11),X5) )
=> X10 = X11 ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',same_waterLevel) ).
fof(c_0_33,plain,
! [X5,X4,X2] :
( epred1_3(X2,X4,X5)
<=> ( ( X4 = tapOn
& X2 = filling )
| ( X4 = overflow
& X2 = spilling )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = tapOff
& X2 = waterLevel(X9) )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = overflow
& X2 = waterLevel(X9) ) ) ),
introduced(definition) ).
fof(c_0_34,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_33]) ).
fof(c_0_35,plain,
! [X112,X113,X114,X117,X118,X119,X120,X121] :
( ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X113 = tapOff
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X113 = tapOff
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X113 = tapOff
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X113 = tapOff
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X113 = tapOff
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X113 = tapOff
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X113 = tapOff
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X113 = tapOff
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X113 = tapOff
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X113 = tapOff
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X113 = tapOff
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X113 = tapOff
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X118 != tapOn
| X119 != filling
| epred1_3(X119,X118,X117) )
& ( X118 != overflow
| X119 != spilling
| epred1_3(X119,X118,X117) )
& ( ~ holdsAt(waterLevel(X120),X117)
| X118 != tapOff
| X119 != waterLevel(X120)
| epred1_3(X119,X118,X117) )
& ( ~ holdsAt(waterLevel(X121),X117)
| X118 != overflow
| X119 != waterLevel(X121)
| epred1_3(X119,X118,X117) ) ),
inference(distribute,[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_33])])])])])]) ).
fof(c_0_36,plain,
! [X68,X69,X70] :
( ( ~ initiates(X68,X69,X70)
| epred1_3(X69,X68,X70) )
& ( ~ epred1_3(X69,X68,X70)
| initiates(X68,X69,X70) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).
cnf(c_0_37,plain,
( epred1_3(X2,X1,X3)
| X1 != tapOn
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_38,plain,
! [X56,X57,X58] :
( ~ happens(X56,X57)
| ~ initiates(X56,X58,X57)
| holdsAt(X58,plus(X57,n1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_holds])]) ).
cnf(c_0_39,plain,
( initiates(X2,X1,X3)
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_40,plain,
epred1_3(filling,tapOn,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])]) ).
fof(c_0_41,plain,
! [X82,X83] :
( ( holdsAt(waterLevel(n3),X83)
| X82 = tapOn
| ~ happens(X82,X83) )
& ( holdsAt(filling,X83)
| X82 = tapOn
| ~ happens(X82,X83) )
& ( X82 = overflow
| X82 = tapOn
| ~ happens(X82,X83) )
& ( holdsAt(waterLevel(n3),X83)
| X83 = n0
| ~ happens(X82,X83) )
& ( holdsAt(filling,X83)
| X83 = n0
| ~ happens(X82,X83) )
& ( X82 = overflow
| X83 = n0
| ~ happens(X82,X83) )
& ( X82 != tapOn
| X83 != n0
| happens(X82,X83) )
& ( ~ holdsAt(waterLevel(n3),X83)
| ~ holdsAt(filling,X83)
| X82 != overflow
| happens(X82,X83) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])]) ).
fof(c_0_42,plain,
! [X95,X96] : plus(X95,X96) = plus(X96,X95),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
fof(c_0_43,plain,
! [X2,X5] :
( ( holdsAt(X2,X5)
& ~ releasedAt(X2,plus(X5,n1))
& ~ ? [X4] :
( happens(X4,X5)
& terminates(X4,X2,X5) ) )
=> holdsAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[keep_holding]) ).
cnf(c_0_44,plain,
( holdsAt(X3,plus(X2,n1))
| ~ happens(X1,X2)
| ~ initiates(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,plain,
initiates(tapOn,filling,X1),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
( happens(X1,X2)
| X1 != tapOn
| X2 != n0 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
cnf(c_0_48,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_49,plain,
! [X44,X45] :
( ( happens(esk5_2(X44,X45),X45)
| ~ holdsAt(X44,X45)
| releasedAt(X44,plus(X45,n1))
| holdsAt(X44,plus(X45,n1)) )
& ( terminates(esk5_2(X44,X45),X44,X45)
| ~ holdsAt(X44,X45)
| releasedAt(X44,plus(X45,n1))
| holdsAt(X44,plus(X45,n1)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).
cnf(c_0_50,plain,
( holdsAt(filling,plus(X1,n1))
| ~ happens(tapOn,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,plain,
happens(tapOn,n0),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_46])]) ).
cnf(c_0_52,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,plain,
( happens(esk5_2(X1,X2),X2)
| releasedAt(X1,plus(X2,n1))
| holdsAt(X1,plus(X2,n1))
| ~ holdsAt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_54,plain,
holdsAt(filling,n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_48]),c_0_52]) ).
cnf(c_0_55,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[plus1_1]) ).
fof(c_0_56,plain,
! [X71,X72,X73] :
( ( X71 = overflow
| X71 = tapOff
| ~ terminates(X71,X72,X73) )
& ( X72 = filling
| X71 = tapOff
| ~ terminates(X71,X72,X73) )
& ( X71 = overflow
| X72 = filling
| ~ terminates(X71,X72,X73) )
& ( X72 = filling
| X72 = filling
| ~ terminates(X71,X72,X73) )
& ( X71 != tapOff
| X72 != filling
| terminates(X71,X72,X73) )
& ( X71 != overflow
| X72 != filling
| terminates(X71,X72,X73) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[terminates_all_defn])])]) ).
cnf(c_0_57,plain,
( terminates(esk5_2(X1,X2),X1,X2)
| releasedAt(X1,plus(X2,n1))
| holdsAt(X1,plus(X2,n1))
| ~ holdsAt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_58,plain,
! [X4,X5,X2] :
( ( happens(X4,X5)
& ( initiates(X4,X2,X5)
| terminates(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[happens_not_released]) ).
fof(c_0_59,plain,
! [X2,X5] :
( ( ~ releasedAt(X2,X5)
& ~ ? [X4] :
( happens(X4,X5)
& releases(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[keep_not_released]) ).
cnf(c_0_60,plain,
( X1 = overflow
| X1 = tapOn
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_61,plain,
( releasedAt(filling,n2)
| holdsAt(filling,n2)
| happens(esk5_2(filling,n1),n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_55]) ).
cnf(c_0_62,plain,
( X1 = overflow
| X1 = tapOff
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_63,plain,
( releasedAt(filling,n2)
| holdsAt(filling,n2)
| terminates(esk5_2(filling,n1),filling,n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_54]),c_0_55]),c_0_55]) ).
fof(c_0_64,plain,
! [X65,X66,X67] :
( ( ~ initiates(X65,X67,X66)
| ~ happens(X65,X66)
| ~ releasedAt(X67,plus(X66,n1)) )
& ( ~ terminates(X65,X67,X66)
| ~ happens(X65,X66)
| ~ releasedAt(X67,plus(X66,n1)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])]) ).
fof(c_0_65,plain,
! [X53,X54] :
( ( happens(esk8_2(X53,X54),X54)
| releasedAt(X53,X54)
| ~ releasedAt(X53,plus(X54,n1)) )
& ( releases(esk8_2(X53,X54),X53,X54)
| releasedAt(X53,X54)
| ~ releasedAt(X53,plus(X54,n1)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])])]) ).
fof(c_0_66,negated_conjecture,
~ holdsAt(waterLevel(n3),n4),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[waterLevel_4])]) ).
cnf(c_0_67,plain,
( holdsAt(waterLevel(n3),X1)
| X2 = tapOn
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_68,plain,
( esk5_2(filling,n1) = overflow
| esk5_2(filling,n1) = tapOn
| releasedAt(filling,n2)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,plain,
( esk5_2(filling,n1) = tapOff
| esk5_2(filling,n1) = overflow
| releasedAt(filling,n2)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[tapOff_not_overflow]) ).
cnf(c_0_71,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[tapOff_not_tapOn]) ).
cnf(c_0_72,plain,
( ~ initiates(X1,X2,X3)
| ~ happens(X1,X3)
| ~ releasedAt(X2,plus(X3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_73,plain,
( happens(esk8_2(X1,X2),X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_74,plain,
( X1 = filling
| X1 = filling
| ~ terminates(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_75,lemma,
holdsAt(waterLevel(n3),n3),
inference(split_conjunct,[status(thm)],[waterLevel_3]) ).
cnf(c_0_76,plain,
plus(n1,n3) = n4,
inference(split_conjunct,[status(thm)],[plus1_3]) ).
cnf(c_0_77,negated_conjecture,
~ holdsAt(waterLevel(n3),n4),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
fof(c_0_78,plain,
! [X91] : filling != waterLevel(X91),
inference(variable_rename,[status(thm)],[filling_not_waterLevel]) ).
cnf(c_0_79,plain,
( esk5_2(filling,n1) = tapOn
| releasedAt(filling,n2)
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_67,c_0_61]) ).
cnf(c_0_80,plain,
( esk5_2(filling,n1) = overflow
| releasedAt(filling,n2)
| holdsAt(filling,n2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_71]) ).
cnf(c_0_81,plain,
overflow != tapOn,
inference(split_conjunct,[status(thm)],[overflow_not_tapOn]) ).
cnf(c_0_82,plain,
( ~ releasedAt(filling,plus(X1,n1))
| ~ happens(tapOn,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_45]) ).
cnf(c_0_83,plain,
( releasedAt(X1,X2)
| happens(esk8_2(X1,X2),X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_73,c_0_48]) ).
cnf(c_0_84,plain,
( X1 = filling
| ~ terminates(X2,X1,X3) ),
inference(cn,[status(thm)],[c_0_74]) ).
cnf(c_0_85,lemma,
( releasedAt(waterLevel(n3),n4)
| terminates(esk5_2(waterLevel(n3),n3),waterLevel(n3),n3) ),
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_57,c_0_75]),c_0_48]),c_0_76]),c_0_48]),c_0_76]),c_0_77]) ).
cnf(c_0_86,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_87,plain,
( epred1_3(X4,X3,X2)
| ~ holdsAt(waterLevel(X1),X2)
| X3 != overflow
| X4 != waterLevel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_88,plain,
( releasedAt(X1,n1)
| happens(esk8_2(X1,n1),n1)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_73,c_0_55]) ).
cnf(c_0_89,plain,
( releasedAt(filling,n2)
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_90,plain,
~ releasedAt(filling,n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_51]),c_0_48]),c_0_52]) ).
cnf(c_0_91,plain,
( releasedAt(X1,n3)
| happens(esk8_2(X1,n3),n3)
| ~ releasedAt(X1,n4) ),
inference(spm,[status(thm)],[c_0_83,c_0_76]) ).
cnf(c_0_92,lemma,
releasedAt(waterLevel(n3),n4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_93,plain,
( epred1_3(waterLevel(X1),overflow,X2)
| ~ holdsAt(waterLevel(X1),X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_87])]) ).
cnf(c_0_94,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2)
| happens(esk8_2(filling,n1),n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
cnf(c_0_95,lemma,
( releasedAt(waterLevel(n3),n3)
| happens(esk8_2(waterLevel(n3),n3),n3) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_96,lemma,
epred1_3(waterLevel(n3),overflow,n3),
inference(spm,[status(thm)],[c_0_93,c_0_75]) ).
cnf(c_0_97,plain,
( esk8_2(filling,n1) = tapOn
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_67,c_0_94]) ).
cnf(c_0_98,plain,
( releases(esk8_2(X1,X2),X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_99,lemma,
( esk8_2(waterLevel(n3),n3) = overflow
| esk8_2(waterLevel(n3),n3) = tapOn
| releasedAt(waterLevel(n3),n3) ),
inference(spm,[status(thm)],[c_0_60,c_0_95]) ).
cnf(c_0_100,lemma,
initiates(overflow,waterLevel(n3),n3),
inference(spm,[status(thm)],[c_0_39,c_0_96]) ).
cnf(c_0_101,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2)
| happens(tapOn,n1) ),
inference(spm,[status(thm)],[c_0_94,c_0_97]) ).
cnf(c_0_102,plain,
( happens(X2,X1)
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| X2 != overflow ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_103,plain,
( releases(esk8_2(X1,X2),X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_98,c_0_48]) ).
cnf(c_0_104,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[plus1_2]) ).
cnf(c_0_105,lemma,
( esk8_2(waterLevel(n3),n3) = overflow
| releasedAt(waterLevel(n3),n3)
| happens(tapOn,n3) ),
inference(spm,[status(thm)],[c_0_95,c_0_99]) ).
cnf(c_0_106,lemma,
~ happens(overflow,n3),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_100]),c_0_48]),c_0_76]),c_0_77]) ).
cnf(c_0_107,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_101]),c_0_55])]) ).
cnf(c_0_108,plain,
( happens(overflow,X1)
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1) ),
inference(er,[status(thm)],[c_0_102]) ).
fof(c_0_109,plain,
! [X74,X75,X76,X78,X79,X80,X81] :
( ( X74 = tapOn
| ~ releases(X74,X75,X76) )
& ( X75 = waterLevel(esk9_2(X74,X75))
| ~ releases(X74,X75,X76) )
& ( X78 != tapOn
| X79 != waterLevel(X80)
| releases(X78,X79,X81) ) ),
inference(distribute,[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])])])])])]) ).
cnf(c_0_110,plain,
( releases(esk8_2(X1,n2),X1,n2)
| releasedAt(X1,n2)
| ~ releasedAt(X1,n3) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_111,lemma,
( releasedAt(waterLevel(n3),n3)
| happens(tapOn,n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_105]),c_0_106]) ).
cnf(c_0_112,plain,
( epred1_3(waterLevel(n3),overflow,n1)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_93,c_0_107]) ).
cnf(c_0_113,plain,
( happens(overflow,n1)
| ~ holdsAt(waterLevel(n3),n1) ),
inference(spm,[status(thm)],[c_0_108,c_0_54]) ).
cnf(c_0_114,plain,
( releasedAt(X1,n2)
| happens(esk8_2(X1,n2),n2)
| ~ releasedAt(X1,n3) ),
inference(spm,[status(thm)],[c_0_83,c_0_104]) ).
cnf(c_0_115,plain,
( X1 = tapOn
| ~ releases(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_116,lemma,
( releases(esk8_2(waterLevel(n3),n2),waterLevel(n3),n2)
| releasedAt(waterLevel(n3),n2)
| happens(tapOn,n3) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_117,plain,
( holdsAt(filling,n2)
| initiates(overflow,waterLevel(n3),n1) ),
inference(spm,[status(thm)],[c_0_39,c_0_112]) ).
cnf(c_0_118,plain,
( holdsAt(filling,n2)
| happens(overflow,n1) ),
inference(spm,[status(thm)],[c_0_113,c_0_107]) ).
cnf(c_0_119,lemma,
( releasedAt(waterLevel(n3),n2)
| happens(esk8_2(waterLevel(n3),n2),n2)
| happens(tapOn,n3) ),
inference(spm,[status(thm)],[c_0_114,c_0_111]) ).
cnf(c_0_120,lemma,
( esk8_2(waterLevel(n3),n2) = tapOn
| releasedAt(waterLevel(n3),n2)
| happens(tapOn,n3) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
fof(c_0_121,plain,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
inference(fof_simplification,[status(thm)],[less_property]) ).
fof(c_0_122,plain,
! [X24,X25,X26,X29,X30,X31,X32,X33] :
( ( happens(esk3_3(X24,X25,X26),esk4_3(X24,X25,X26))
| ~ startedIn(X24,X26,X25) )
& ( less(X24,esk4_3(X24,X25,X26))
| ~ startedIn(X24,X26,X25) )
& ( less(esk4_3(X24,X25,X26),X25)
| ~ startedIn(X24,X26,X25) )
& ( initiates(esk3_3(X24,X25,X26),X26,esk4_3(X24,X25,X26))
| ~ startedIn(X24,X26,X25) )
& ( ~ happens(X32,X33)
| ~ less(X29,X33)
| ~ less(X33,X30)
| ~ initiates(X32,X31,X33)
| startedIn(X29,X31,X30) ) ),
inference(distribute,[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_123,plain,
( holdsAt(filling,n2)
| ~ releasedAt(waterLevel(n3),n2) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_117]),c_0_55]),c_0_118]) ).
cnf(c_0_124,lemma,
( releasedAt(waterLevel(n3),n2)
| happens(tapOn,n3)
| happens(tapOn,n2) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
fof(c_0_125,plain,
! [X97,X98] :
( ( ~ less_or_equal(X97,X98)
| less(X97,X98)
| X97 = X98 )
& ( ~ less(X97,X98)
| less_or_equal(X97,X98) )
& ( X97 != X98
| less_or_equal(X97,X98) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_or_equal])])]) ).
fof(c_0_126,plain,
! [X103] :
( ( ~ less(X103,n4)
| less_or_equal(X103,n3) )
& ( ~ less_or_equal(X103,n3)
| less(X103,n4) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less4])]) ).
fof(c_0_127,plain,
! [X109,X110] :
( ( ~ less(X110,X109)
| ~ less(X109,X110) )
& ( X110 != X109
| ~ less(X109,X110) )
& ( less(X110,X109)
| X110 = X109
| less(X109,X110) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_121])])]) ).
cnf(c_0_128,plain,
( startedIn(X3,X5,X4)
| ~ happens(X1,X2)
| ~ less(X3,X2)
| ~ less(X2,X4)
| ~ initiates(X1,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_129,lemma,
( holdsAt(filling,n2)
| happens(tapOn,n2)
| happens(tapOn,n3) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
fof(c_0_130,plain,
! [X102] :
( ( ~ less(X102,n3)
| less_or_equal(X102,n2) )
& ( ~ less_or_equal(X102,n2)
| less(X102,n3) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less3])]) ).
cnf(c_0_131,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_132,plain,
( less_or_equal(X1,n3)
| ~ less(X1,n4) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_133,plain,
( less(X1,X2)
| X1 = X2
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_134,plain,
( startedIn(X1,filling,X2)
| ~ less(X1,X3)
| ~ less(X3,X2)
| ~ happens(tapOn,X3) ),
inference(spm,[status(thm)],[c_0_128,c_0_45]) ).
cnf(c_0_135,plain,
( holdsAt(filling,n2)
| holdsAt(filling,n3)
| happens(tapOn,n3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_129]),c_0_48]),c_0_104]) ).
cnf(c_0_136,plain,
( less(X1,n3)
| ~ less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_137,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_131]) ).
fof(c_0_138,plain,
! [X84,X85,X86,X87] :
( ~ holdsAt(waterLevel(X84),X85)
| X86 != plus(X84,X87)
| trajectory(filling,X85,waterLevel(X86),X87) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])]) ).
fof(c_0_139,plain,
! [X100] :
( ( ~ less(X100,n1)
| less_or_equal(X100,n0) )
& ( ~ less_or_equal(X100,n0)
| less(X100,n1) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])]) ).
cnf(c_0_140,plain,
( less(X1,X2)
| X1 = X2
| ~ less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_141,plain,
( X1 = n4
| less_or_equal(X1,n3)
| less(n4,X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_142,plain,
( holdsAt(filling,n3)
| holdsAt(filling,n2)
| startedIn(X1,filling,X2)
| ~ less(X1,n3)
| ~ less(n3,X2) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_143,plain,
less(n2,n3),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_144,plain,
( less(X1,n4)
| ~ less_or_equal(X1,n3) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_145,plain,
( trajectory(filling,X2,waterLevel(X3),X4)
| ~ holdsAt(waterLevel(X1),X2)
| X3 != plus(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_146,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_147,plain,
( less_or_equal(X1,n2)
| ~ less(X1,n3) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_148,plain,
( X1 = n4
| X1 = n3
| less(n4,X1)
| less(X1,n3) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_149,plain,
( holdsAt(filling,n2)
| holdsAt(filling,n3)
| startedIn(n2,filling,X1)
| ~ less(n3,X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_150,plain,
less(n3,n4),
inference(spm,[status(thm)],[c_0_144,c_0_137]) ).
fof(c_0_151,plain,
! [X4,X5,X2,X6,X7] :
( ( happens(X4,X5)
& initiates(X4,X2,X5)
& less(n0,X7)
& trajectory(X2,X5,X6,X7)
& ~ stoppedIn(X5,X2,plus(X5,X7)) )
=> holdsAt(X6,plus(X5,X7)) ),
inference(fof_simplification,[status(thm)],[change_holding]) ).
cnf(c_0_152,plain,
( trajectory(filling,X1,waterLevel(plus(X2,X3)),X3)
| ~ holdsAt(waterLevel(X2),X1) ),
inference(er,[status(thm)],[c_0_145]) ).
cnf(c_0_153,hypothesis,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[waterLevel_0]) ).
fof(c_0_154,plain,
! [X101] :
( ( ~ less(X101,n2)
| less_or_equal(X101,n1) )
& ( ~ less_or_equal(X101,n1)
| less(X101,n2) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less2])]) ).
cnf(c_0_155,plain,
( less_or_equal(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_156,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_146,c_0_137]) ).
cnf(c_0_157,plain,
( X1 = n3
| X1 = n4
| less_or_equal(X1,n2)
| less(n4,X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_158,plain,
( less(X1,esk4_3(X1,X2,X3))
| ~ startedIn(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_159,plain,
( holdsAt(filling,n3)
| holdsAt(filling,n2)
| startedIn(n2,filling,n4) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
fof(c_0_160,plain,
! [X34,X35,X36,X37,X38] :
( ~ happens(X34,X35)
| ~ initiates(X34,X36,X35)
| ~ less(n0,X38)
| ~ trajectory(X36,X35,X37,X38)
| stoppedIn(X35,X36,plus(X35,X38))
| holdsAt(X37,plus(X35,X38)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_151])]) ).
cnf(c_0_161,hypothesis,
trajectory(filling,n0,waterLevel(plus(n0,X1)),X1),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_162,plain,
plus(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[plus0_2]) ).
cnf(c_0_163,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_164,plain,
less_or_equal(n0,n1),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_165,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_166,plain,
( X1 = n4
| X1 = n3
| X1 = n2
| less(n4,X1)
| less(X1,n2) ),
inference(spm,[status(thm)],[c_0_140,c_0_157]) ).
cnf(c_0_167,plain,
( less(esk4_3(X1,X2,X3),X2)
| ~ startedIn(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_168,plain,
( holdsAt(filling,n2)
| holdsAt(filling,n3)
| less(n2,esk4_3(n2,n4,filling)) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_169,plain,
( stoppedIn(X2,X3,plus(X2,X4))
| holdsAt(X5,plus(X2,X4))
| ~ happens(X1,X2)
| ~ initiates(X1,X3,X2)
| ~ less(n0,X4)
| ~ trajectory(X3,X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_170,hypothesis,
trajectory(filling,n0,waterLevel(n2),n2),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_171,plain,
less(n0,n2),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_172,plain,
( X1 = n2
| X1 = n3
| X1 = n4
| less(X1,n2)
| ~ less(X1,n4) ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_173,plain,
( holdsAt(filling,n2)
| holdsAt(filling,n3)
| less(esk4_3(n2,n4,filling),n4) ),
inference(spm,[status(thm)],[c_0_167,c_0_159]) ).
cnf(c_0_174,plain,
( holdsAt(filling,n3)
| holdsAt(filling,n2)
| ~ less(esk4_3(n2,n4,filling),n2) ),
inference(spm,[status(thm)],[c_0_165,c_0_168]) ).
cnf(c_0_175,plain,
( X1 != X2
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
fof(c_0_176,plain,
! [X14,X15,X16,X19,X20,X21,X22,X23] :
( ( happens(esk1_3(X14,X15,X16),esk2_3(X14,X15,X16))
| ~ stoppedIn(X14,X15,X16) )
& ( less(X14,esk2_3(X14,X15,X16))
| ~ stoppedIn(X14,X15,X16) )
& ( less(esk2_3(X14,X15,X16),X16)
| ~ stoppedIn(X14,X15,X16) )
& ( terminates(esk1_3(X14,X15,X16),X15,esk2_3(X14,X15,X16))
| ~ stoppedIn(X14,X15,X16) )
& ( ~ happens(X22,X23)
| ~ less(X19,X23)
| ~ less(X23,X21)
| ~ terminates(X22,X20,X23)
| stoppedIn(X19,X20,X21) ) ),
inference(distribute,[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_177,hypothesis,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_162]),c_0_162]),c_0_171])]) ).
cnf(c_0_178,plain,
( esk4_3(n2,n4,filling) = n4
| esk4_3(n2,n4,filling) = n3
| esk4_3(n2,n4,filling) = n2
| holdsAt(filling,n3)
| holdsAt(filling,n2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]) ).
cnf(c_0_179,plain,
~ less(X1,X1),
inference(er,[status(thm)],[c_0_175]) ).
cnf(c_0_180,plain,
( happens(esk1_3(X1,X2,X3),esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_181,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_45]),c_0_51])]) ).
cnf(c_0_182,plain,
( terminates(esk1_3(X1,X2,X3),X2,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_183,plain,
( happens(esk3_3(X1,X2,X3),esk4_3(X1,X2,X3))
| ~ startedIn(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_184,plain,
( esk4_3(n2,n4,filling) = n2
| esk4_3(n2,n4,filling) = n3
| holdsAt(filling,n3)
| holdsAt(filling,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_178]),c_0_179]) ).
cnf(c_0_185,plain,
( holdsAt(waterLevel(n2),n2)
| happens(esk1_3(n0,filling,n2),esk2_3(n0,filling,n2)) ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_186,plain,
( holdsAt(waterLevel(n2),n2)
| terminates(esk1_3(n0,filling,n2),filling,esk2_3(n0,filling,n2)) ),
inference(spm,[status(thm)],[c_0_182,c_0_181]) ).
cnf(c_0_187,plain,
( holdsAt(filling,n2)
| holdsAt(filling,n3)
| happens(esk3_3(n2,n4,filling),esk4_3(n2,n4,filling)) ),
inference(spm,[status(thm)],[c_0_183,c_0_159]) ).
cnf(c_0_188,plain,
( esk4_3(n2,n4,filling) = n3
| holdsAt(filling,n3)
| holdsAt(filling,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_184]),c_0_179]) ).
cnf(c_0_189,plain,
( terminates(X1,X2,X3)
| X1 != overflow
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_190,plain,
( esk1_3(n0,filling,n2) = overflow
| esk1_3(n0,filling,n2) = tapOn
| holdsAt(waterLevel(n2),n2) ),
inference(spm,[status(thm)],[c_0_60,c_0_185]) ).
cnf(c_0_191,plain,
( esk1_3(n0,filling,n2) = tapOff
| esk1_3(n0,filling,n2) = overflow
| holdsAt(waterLevel(n2),n2) ),
inference(spm,[status(thm)],[c_0_62,c_0_186]) ).
cnf(c_0_192,plain,
( holdsAt(filling,X1)
| X2 = tapOn
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_193,plain,
( holdsAt(filling,n3)
| holdsAt(filling,n2)
| happens(esk3_3(n2,n4,filling),n3) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_194,plain,
( stoppedIn(X3,X5,X4)
| ~ happens(X1,X2)
| ~ less(X3,X2)
| ~ less(X2,X4)
| ~ terminates(X1,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_195,plain,
terminates(overflow,filling,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_189])]) ).
cnf(c_0_196,plain,
( esk1_3(n0,filling,n2) = overflow
| holdsAt(waterLevel(n2),n2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_70]),c_0_71]) ).
cnf(c_0_197,plain,
( less(esk2_3(X1,X2,X3),X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_198,plain,
( esk3_3(n2,n4,filling) = tapOn
| holdsAt(filling,n2)
| holdsAt(filling,n3) ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_199,plain,
( stoppedIn(X1,filling,X2)
| ~ less(X1,X3)
| ~ less(X3,X2)
| ~ happens(overflow,X3) ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_200,plain,
( holdsAt(waterLevel(n2),n2)
| happens(overflow,esk2_3(n0,filling,n2)) ),
inference(spm,[status(thm)],[c_0_185,c_0_196]) ).
cnf(c_0_201,plain,
( less(X1,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_202,plain,
( less_or_equal(X1,n1)
| ~ less(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_203,plain,
( holdsAt(waterLevel(n2),n2)
| less(esk2_3(n0,filling,n2),n2) ),
inference(spm,[status(thm)],[c_0_197,c_0_181]) ).
cnf(c_0_204,plain,
( X1 = overflow
| X2 = n0
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_205,plain,
( holdsAt(filling,n3)
| holdsAt(filling,n2)
| happens(tapOn,esk4_3(n2,n4,filling)) ),
inference(spm,[status(thm)],[c_0_187,c_0_198]) ).
cnf(c_0_206,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(X1,filling,X2)
| ~ less(X1,esk2_3(n0,filling,n2))
| ~ less(esk2_3(n0,filling,n2),X2) ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_207,plain,
( holdsAt(waterLevel(n2),n2)
| less(n0,esk2_3(n0,filling,n2)) ),
inference(spm,[status(thm)],[c_0_201,c_0_181]) ).
cnf(c_0_208,plain,
( less_or_equal(esk2_3(n0,filling,n2),n1)
| holdsAt(waterLevel(n2),n2) ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_209,plain,
( esk4_3(n2,n4,filling) = n0
| holdsAt(filling,n2)
| holdsAt(filling,n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_81]) ).
cnf(c_0_210,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,X1)
| ~ less(esk2_3(n0,filling,n2),X1) ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_211,plain,
( esk2_3(n0,filling,n2) = n1
| holdsAt(waterLevel(n2),n2)
| less(esk2_3(n0,filling,n2),n1) ),
inference(spm,[status(thm)],[c_0_140,c_0_208]) ).
cnf(c_0_212,plain,
( holdsAt(filling,n2)
| holdsAt(filling,n3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_209]),c_0_171])]) ).
cnf(c_0_213,hypothesis,
trajectory(filling,n0,waterLevel(plus(X1,n0)),X1),
inference(spm,[status(thm)],[c_0_161,c_0_48]) ).
cnf(c_0_214,plain,
( esk2_3(n0,filling,n2) = n1
| holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n1) ),
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_215,plain,
( releasedAt(filling,n3)
| holdsAt(filling,n3)
| happens(esk5_2(filling,n2),n2) ),
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_53,c_0_212]),c_0_48]),c_0_104]),c_0_48]),c_0_104])]) ).
cnf(c_0_216,plain,
( releasedAt(filling,n3)
| holdsAt(filling,n3)
| terminates(esk5_2(filling,n2),filling,n2) ),
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_57,c_0_212]),c_0_48]),c_0_104]),c_0_48]),c_0_104])]) ).
cnf(c_0_217,hypothesis,
trajectory(filling,n0,waterLevel(n1),n1),
inference(spm,[status(thm)],[c_0_213,c_0_52]) ).
cnf(c_0_218,plain,
( holdsAt(waterLevel(n2),n2)
| happens(overflow,n1)
| stoppedIn(n0,filling,n1) ),
inference(spm,[status(thm)],[c_0_200,c_0_214]) ).
cnf(c_0_219,plain,
( esk5_2(filling,n2) = overflow
| esk5_2(filling,n2) = tapOn
| releasedAt(filling,n3)
| holdsAt(filling,n3) ),
inference(spm,[status(thm)],[c_0_60,c_0_215]) ).
cnf(c_0_220,plain,
( esk5_2(filling,n2) = tapOff
| esk5_2(filling,n2) = overflow
| releasedAt(filling,n3)
| holdsAt(filling,n3) ),
inference(spm,[status(thm)],[c_0_62,c_0_216]) ).
cnf(c_0_221,hypothesis,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
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_169,c_0_217]),c_0_48]),c_0_52]),c_0_48]),c_0_52]),c_0_156])]) ).
cnf(c_0_222,plain,
( less_or_equal(X1,n0)
| ~ less(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_223,plain,
( holdsAt(waterLevel(n2),n2)
| less(esk2_3(n0,filling,n1),n1)
| happens(overflow,n1) ),
inference(spm,[status(thm)],[c_0_197,c_0_218]) ).
fof(c_0_224,plain,
! [X99] : ~ less(X99,n0),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])]) ).
cnf(c_0_225,plain,
( esk5_2(filling,n2) = overflow
| releasedAt(filling,n3)
| holdsAt(filling,n3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_70]),c_0_71]) ).
cnf(c_0_226,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_45]),c_0_51])]) ).
cnf(c_0_227,plain,
( less_or_equal(esk2_3(n0,filling,n1),n0)
| holdsAt(waterLevel(n2),n2)
| happens(overflow,n1) ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_228,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[c_0_224]) ).
cnf(c_0_229,plain,
( releasedAt(filling,n3)
| holdsAt(filling,n3)
| happens(overflow,n2) ),
inference(spm,[status(thm)],[c_0_215,c_0_225]) ).
cnf(c_0_230,plain,
( holdsAt(waterLevel(n1),n1)
| less(esk2_3(n0,filling,n1),n1) ),
inference(spm,[status(thm)],[c_0_197,c_0_226]) ).
cnf(c_0_231,plain,
( holdsAt(waterLevel(n2),n2)
| less(n0,esk2_3(n0,filling,n1))
| happens(overflow,n1) ),
inference(spm,[status(thm)],[c_0_201,c_0_218]) ).
cnf(c_0_232,plain,
( esk2_3(n0,filling,n1) = n0
| holdsAt(waterLevel(n2),n2)
| happens(overflow,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_227]),c_0_228]) ).
cnf(c_0_233,plain,
( holdsAt(waterLevel(n3),X1)
| X1 = n0
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_234,plain,
( releasedAt(filling,n2)
| holdsAt(filling,n3)
| happens(esk8_2(filling,n2),n2)
| happens(overflow,n2) ),
inference(spm,[status(thm)],[c_0_114,c_0_229]) ).
cnf(c_0_235,plain,
( less_or_equal(esk2_3(n0,filling,n1),n0)
| holdsAt(waterLevel(n1),n1) ),
inference(spm,[status(thm)],[c_0_222,c_0_230]) ).
fof(c_0_236,plain,
! [X88,X89,X90] :
( ~ holdsAt(waterLevel(X89),X88)
| ~ holdsAt(waterLevel(X90),X88)
| X89 = X90 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[same_waterLevel])]) ).
cnf(c_0_237,plain,
( holdsAt(waterLevel(n2),n2)
| happens(overflow,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_179]) ).
cnf(c_0_238,plain,
( n2 = n0
| releasedAt(filling,n2)
| holdsAt(waterLevel(n3),n2)
| holdsAt(filling,n3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_233]) ).
cnf(c_0_239,plain,
( holdsAt(waterLevel(n1),n1)
| less(n0,esk2_3(n0,filling,n1)) ),
inference(spm,[status(thm)],[c_0_201,c_0_226]) ).
cnf(c_0_240,plain,
( esk2_3(n0,filling,n1) = n0
| holdsAt(waterLevel(n1),n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_235]),c_0_228]) ).
cnf(c_0_241,plain,
( X1 = X3
| ~ holdsAt(waterLevel(X1),X2)
| ~ holdsAt(waterLevel(X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_242,plain,
( holdsAt(waterLevel(n2),n2)
| holdsAt(waterLevel(n3),n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_237]),c_0_81]) ).
cnf(c_0_243,plain,
( n2 = n0
| holdsAt(waterLevel(n3),n2)
| holdsAt(filling,n3)
| happens(esk8_2(filling,n1),n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_238]),c_0_90]) ).
cnf(c_0_244,plain,
holdsAt(waterLevel(n1),n1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_179]) ).
cnf(c_0_245,plain,
( X1 = n2
| holdsAt(waterLevel(n3),n1)
| ~ holdsAt(waterLevel(X1),n2) ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_246,plain,
( n2 = n0
| n0 = n1
| holdsAt(waterLevel(n3),n2)
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n3) ),
inference(spm,[status(thm)],[c_0_233,c_0_243]) ).
cnf(c_0_247,plain,
( X1 = n1
| ~ holdsAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[c_0_241,c_0_244]) ).
cnf(c_0_248,plain,
( n0 = n1
| n2 = n0
| n2 = n3
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n3) ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_249,plain,
( n2 = n3
| n2 = n0
| n0 = n1
| n3 = n1
| holdsAt(filling,n3) ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_250,plain,
( n3 = n1
| n0 = n1
| n2 = n0
| n2 = n3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_249]),c_0_75])]),c_0_106]) ).
cnf(c_0_251,plain,
( n2 = n0
| n0 = n1
| n3 = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_250]),c_0_179]) ).
cnf(c_0_252,plain,
less(n1,n2),
inference(spm,[status(thm)],[c_0_163,c_0_137]) ).
cnf(c_0_253,plain,
( n0 = n1
| n3 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_251]),c_0_52])]) ).
cnf(c_0_254,plain,
~ less(n2,n1),
inference(spm,[status(thm)],[c_0_165,c_0_252]) ).
cnf(c_0_255,plain,
n0 = n1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_253]),c_0_254]) ).
cnf(c_0_256,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_255]),c_0_179]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR001+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 14:45:04 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.55 start to proof: theBenchmark
% 5.05/5.12 % Version : CSE_E---1.5
% 5.05/5.12 % Problem : theBenchmark.p
% 5.05/5.12 % Proof found
% 5.05/5.12 % SZS status Theorem for theBenchmark.p
% 5.05/5.12 % SZS output start Proof
% See solution above
% 5.05/5.15 % Total time : 4.560000 s
% 5.05/5.15 % SZS output end Proof
% 5.05/5.15 % Total time : 4.564000 s
%------------------------------------------------------------------------------