TSTP Solution File: CSR011+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : CSR011+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 03:01:23 EDT 2022
% Result : Theorem 0.27s 3.45s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 34
% Syntax : Number of formulae : 182 ( 43 unt; 0 def)
% Number of atoms : 711 ( 306 equ)
% Maximal formula atoms : 194 ( 3 avg)
% Number of connectives : 806 ( 277 ~; 411 |; 92 &)
% ( 21 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 11 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 309 ( 41 sgn 120 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(initiates_all_defn,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> ( ( X4 = tapOn
& X2 = filling )
| ( X4 = overflow
& X2 = spilling )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = tapOff
& X2 = waterLevel(X9) )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = overflow
& X2 = waterLevel(X9) ) ) ),
file('/export/starexec/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(waterLevel_0,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',waterLevel_0) ).
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(happens_terminates_not_holds,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& terminates(X4,X2,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).
fof(terminates_all_defn,axiom,
! [X4,X2,X5] :
( terminates(X4,X2,X5)
<=> ( ( X4 = tapOff
& X2 = filling )
| ( X4 = overflow
& X2 = filling ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',terminates_all_defn) ).
fof(less_or_equal,axiom,
! [X12,X13] :
( less_or_equal(X12,X13)
<=> ( less(X12,X13)
| X12 = X13 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',less_or_equal) ).
fof(less2,axiom,
! [X12] :
( less(X12,n2)
<=> less_or_equal(X12,n1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',less2) ).
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(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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',less1) ).
fof(less0,axiom,
~ ? [X12] : less(X12,n0),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',less0) ).
fof(less3,axiom,
! [X12] :
( less(X12,n3)
<=> less_or_equal(X12,n2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',less3) ).
fof(less_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',less_property) ).
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(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',plus0_1) ).
fof(overflow_not_tapOn,axiom,
overflow != tapOn,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',overflow_not_tapOn) ).
fof(not_stopped_filling_0_3,conjecture,
~ stoppedIn(n0,filling,n3),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',not_stopped_filling_0_3) ).
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(plus1_1,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',plus1_1) ).
fof(plus0_2,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',plus0_2) ).
fof(c_0_23,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_24,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_23]) ).
fof(c_0_25,plain,
! [X6,X7,X8,X6,X7,X8] :
( ( ~ initiates(X6,X7,X8)
| epred1_3(X7,X6,X8) )
& ( ~ epred1_3(X7,X6,X8)
| initiates(X6,X7,X8) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
fof(c_0_26,plain,
! [X10,X11,X12,X10,X11,X12,X15,X16] :
( ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X11 = tapOff
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X11 = tapOff
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X11 = tapOff
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X11 = tapOff
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X11 = tapOff
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X11 = tapOff
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X11 = tapOff
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X11 = tapOff
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X11 = tapOff
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X11 = tapOff
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X11 = tapOff
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X11 = tapOff
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 != tapOn
| X12 != filling
| epred1_3(X12,X11,X10) )
& ( X11 != overflow
| X12 != spilling
| epred1_3(X12,X11,X10) )
& ( ~ holdsAt(waterLevel(X15),X10)
| X11 != tapOff
| X12 != waterLevel(X15)
| epred1_3(X12,X11,X10) )
& ( ~ holdsAt(waterLevel(X16),X10)
| X11 != overflow
| X12 != waterLevel(X16)
| epred1_3(X12,X11,X10) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])])])]) ).
fof(c_0_27,plain,
! [X6,X7,X8] :
( ~ happens(X6,X7)
| ~ initiates(X6,X8,X7)
| holdsAt(X8,plus(X7,n1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_holds])]) ).
cnf(c_0_28,plain,
( initiates(X1,X2,X3)
| ~ epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
( epred1_3(X1,X2,X3)
| X1 != filling
| X2 != tapOn ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
( holdsAt(X1,plus(X2,n1))
| ~ initiates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
( initiates(X1,X2,X3)
| X1 != tapOn
| X2 != filling ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_32,plain,
! [X6,X7,X6,X7] :
( ( holdsAt(waterLevel(n3),X7)
| X6 = tapOn
| ~ happens(X6,X7) )
& ( holdsAt(filling,X7)
| X6 = tapOn
| ~ happens(X6,X7) )
& ( X6 = overflow
| X6 = tapOn
| ~ happens(X6,X7) )
& ( holdsAt(waterLevel(n3),X7)
| X7 = n0
| ~ happens(X6,X7) )
& ( holdsAt(filling,X7)
| X7 = n0
| ~ happens(X6,X7) )
& ( X6 = overflow
| X7 = n0
| ~ happens(X6,X7) )
& ( X6 != tapOn
| X7 != n0
| happens(X6,X7) )
& ( ~ holdsAt(waterLevel(n3),X7)
| ~ holdsAt(filling,X7)
| X6 != overflow
| happens(X6,X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])])])]) ).
fof(c_0_33,plain,
( ~ epred62_0
<=> ! [X3] : X3 != tapOn ),
introduced(definition) ).
cnf(c_0_34,plain,
( X2 = tapOn
| X2 = overflow
| holdsAt(waterLevel(esk10_3(X3,X2,X1)),X3)
| X2 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( X2 = tapOn
| X2 = overflow
| X1 = waterLevel(esk10_3(X3,X2,X1))
| X2 = overflow
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_36,plain,
( ~ epred10_0
<=> ! [X1] :
( X1 = tapOn
| X1 = overflow
| X1 != tapOff ) ),
introduced(definition) ).
fof(c_0_37,plain,
( ~ epred61_0
<=> ! [X2,X1] :
( holdsAt(X1,plus(X2,n1))
| X2 != n0
| X1 != filling ) ),
introduced(definition) ).
cnf(c_0_38,plain,
( holdsAt(X1,plus(X2,n1))
| X3 != tapOn
| X1 != filling
| ~ happens(X3,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,plain,
( happens(X1,X2)
| X2 != n0
| X1 != tapOn ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
( epred62_0
| X1 != tapOn ),
inference(split_equiv,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
( X2 = tapOn
| X2 = overflow
| holdsAt(waterLevel(esk10_3(X3,X2,X1)),X3)
| ~ epred1_3(X1,X2,X3) ),
inference(cn,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
( X2 = tapOn
| X2 = overflow
| X1 = waterLevel(esk10_3(X3,X2,X1))
| ~ epred1_3(X1,X2,X3) ),
inference(cn,[status(thm)],[c_0_35]) ).
cnf(c_0_43,plain,
( epred1_3(X1,X2,X3)
| X1 != waterLevel(X4)
| X2 != tapOff
| ~ holdsAt(waterLevel(X4),X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_44,hypothesis,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[waterLevel_0]) ).
cnf(c_0_45,plain,
( X1 = overflow
| X1 = tapOn
| epred10_0
| X1 != tapOff ),
inference(split_equiv,[status(thm)],[c_0_36]) ).
cnf(c_0_46,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[tapOff_not_overflow]) ).
cnf(c_0_47,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[tapOff_not_tapOn]) ).
fof(c_0_48,plain,
! [X6,X7,X8] :
( ~ happens(X6,X7)
| ~ terminates(X6,X8,X7)
| ~ holdsAt(X8,plus(X7,n1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[happens_terminates_not_holds])])]) ).
fof(c_0_49,plain,
! [X6,X7,X8,X6,X7,X8] :
( ( X6 = overflow
| X6 = tapOff
| ~ terminates(X6,X7,X8) )
& ( X7 = filling
| X6 = tapOff
| ~ terminates(X6,X7,X8) )
& ( X6 = overflow
| X7 = filling
| ~ terminates(X6,X7,X8) )
& ( X7 = filling
| X7 = filling
| ~ terminates(X6,X7,X8) )
& ( X6 != tapOff
| X7 != filling
| terminates(X6,X7,X8) )
& ( X6 != overflow
| X7 != filling
| terminates(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[terminates_all_defn])])])])]) ).
cnf(c_0_50,plain,
( ~ epred62_0
| ~ epred61_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_37]),c_0_33]) ).
cnf(c_0_51,plain,
epred62_0,
inference(er,[status(thm)],[c_0_40]) ).
fof(c_0_52,plain,
( ~ epred13_0
<=> ! [X2] :
( holdsAt(X2,n0)
| X2 != waterLevel(n0) ) ),
introduced(definition) ).
cnf(c_0_53,plain,
( X1 = tapOn
| X1 = overflow
| holdsAt(X2,X3)
| ~ epred1_3(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_54,hypothesis,
( epred1_3(X1,X2,n0)
| X1 != waterLevel(n0)
| X2 != tapOff ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_55,plain,
epred10_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_45]),c_0_46]),c_0_47]) ).
fof(c_0_56,plain,
! [X14,X15,X14,X15] :
( ( ~ less_or_equal(X14,X15)
| less(X14,X15)
| X14 = X15 )
& ( ~ less(X14,X15)
| less_or_equal(X14,X15) )
& ( X14 != X15
| less_or_equal(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_or_equal])])])])]) ).
fof(c_0_57,plain,
! [X13,X13] :
( ( ~ less(X13,n2)
| less_or_equal(X13,n1) )
& ( ~ less_or_equal(X13,n1)
| less(X13,n2) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less2])])])]) ).
cnf(c_0_58,plain,
( ~ holdsAt(X1,plus(X2,n1))
| ~ terminates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,plain,
( terminates(X1,X2,X3)
| X2 != filling
| X1 != overflow ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_60,plain,
~ epred61_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]) ).
fof(c_0_61,plain,
( ~ epred65_0
<=> ! [X1] : X1 != filling ),
introduced(definition) ).
fof(c_0_62,plain,
! [X6,X7,X8,X6,X7,X8,X11,X12] :
( ( happens(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| ~ stoppedIn(X6,X7,X8) )
& ( less(X6,esk2_3(X6,X7,X8))
| ~ stoppedIn(X6,X7,X8) )
& ( less(esk2_3(X6,X7,X8),X8)
| ~ stoppedIn(X6,X7,X8) )
& ( terminates(esk1_3(X6,X7,X8),X7,esk2_3(X6,X7,X8))
| ~ stoppedIn(X6,X7,X8) )
& ( ~ happens(X11,X12)
| ~ less(X6,X12)
| ~ less(X12,X8)
| ~ terminates(X11,X7,X12)
| stoppedIn(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[stoppedin_defn])])])])])])]) ).
fof(c_0_63,plain,
! [X12,X13,X14,X15] :
( ~ holdsAt(waterLevel(X12),X13)
| X14 != plus(X12,X15)
| trajectory(filling,X13,waterLevel(X14),X15) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])]) ).
cnf(c_0_64,hypothesis,
~ epred13_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_53,c_0_54]),c_0_36]),c_0_52]),c_0_55])]) ).
fof(c_0_65,plain,
! [X13,X13] :
( ( ~ less(X13,n1)
| less_or_equal(X13,n0) )
& ( ~ less_or_equal(X13,n0)
| less(X13,n1) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])])])]) ).
fof(c_0_66,plain,
! [X13] : ~ less(X13,n0),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])]) ).
fof(c_0_67,plain,
! [X13,X13] :
( ( ~ less(X13,n3)
| less_or_equal(X13,n2) )
& ( ~ less_or_equal(X13,n2)
| less(X13,n3) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less3])])])]) ).
cnf(c_0_68,plain,
( X1 = X2
| less(X1,X2)
| ~ less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_69,plain,
( less_or_equal(X1,n1)
| ~ less(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_70,plain,
! [X14,X15,X14,X15] :
( ( ~ less(X15,X14)
| ~ less(X14,X15) )
& ( X15 != X14
| ~ less(X14,X15) )
& ( less(X15,X14)
| X15 = X14
| less(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[less_property])])])])])]) ).
fof(c_0_71,plain,
( ~ epred66_0
<=> ! [X3,X2] :
( ~ happens(X2,X3)
| X3 != n0
| X2 != overflow ) ),
introduced(definition) ).
cnf(c_0_72,plain,
( X1 != filling
| X2 != overflow
| ~ holdsAt(X1,plus(X3,n1))
| ~ happens(X2,X3) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_73,plain,
( holdsAt(X1,plus(X2,n1))
| X2 != n0
| X1 != filling ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_37]),c_0_60]) ).
cnf(c_0_74,plain,
( epred65_0
| X1 != filling ),
inference(split_equiv,[status(thm)],[c_0_61]) ).
cnf(c_0_75,plain,
( X1 = tapOn
| X1 = overflow
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_76,plain,
( happens(esk1_3(X1,X2,X3),esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_77,plain,
( X1 = tapOff
| X1 = overflow
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_78,plain,
( terminates(esk1_3(X1,X2,X3),X2,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_79,plain,
( trajectory(filling,X1,waterLevel(X2),X3)
| X2 != plus(X4,X3)
| ~ holdsAt(waterLevel(X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_80,hypothesis,
( holdsAt(X1,n0)
| X1 != waterLevel(n0) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_52]),c_0_64]) ).
cnf(c_0_81,plain,
( less_or_equal(X1,n0)
| ~ less(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_82,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_83,plain,
( less_or_equal(X1,n2)
| ~ less(X1,n3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_84,plain,
( X1 = n1
| less(X1,n1)
| ~ less(X1,n2) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_85,plain,
( less(X1,X2)
| X2 = X1
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_86,plain,
( ~ epred66_0
| ~ epred65_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_61]),c_0_71]) ).
cnf(c_0_87,plain,
epred65_0,
inference(er,[status(thm)],[c_0_74]) ).
cnf(c_0_88,plain,
( esk1_3(X1,X2,X3) = tapOn
| esk1_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_89,plain,
( esk1_3(X1,X2,X3) = overflow
| esk1_3(X1,X2,X3) = tapOff
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_90,hypothesis,
( trajectory(filling,n0,waterLevel(X1),X2)
| waterLevel(X3) != waterLevel(n0)
| X1 != plus(X3,X2) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_91,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_92,plain,
( X1 = n0
| ~ less(X1,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_81]),c_0_82]) ).
cnf(c_0_93,plain,
( less(esk2_3(X1,X2,X3),X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_94,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_95,plain,
( X1 = n2
| less(X1,n2)
| ~ less(X1,n3) ),
inference(spm,[status(thm)],[c_0_68,c_0_83]) ).
cnf(c_0_96,plain,
( X1 = n2
| X1 = n1
| less(n2,X1)
| less(X1,n1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_97,plain,
~ epred66_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_87])]) ).
cnf(c_0_98,plain,
( esk1_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_47]),c_0_46]) ).
fof(c_0_99,plain,
! [X8,X9,X10,X11,X12] :
( ~ happens(X8,X9)
| ~ initiates(X8,X10,X9)
| ~ less(n0,X12)
| ~ trajectory(X10,X9,X11,X12)
| stoppedIn(X9,X10,plus(X9,X12))
| holdsAt(X11,plus(X9,X12)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[change_holding])])]) ).
cnf(c_0_100,hypothesis,
( trajectory(filling,n0,waterLevel(plus(X1,X2)),X2)
| waterLevel(X1) != waterLevel(n0) ),
inference(er,[status(thm)],[c_0_90]) ).
cnf(c_0_101,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
cnf(c_0_102,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_103,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_91]) ).
cnf(c_0_104,plain,
( less(X1,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_105,plain,
( esk2_3(X1,X2,n1) = n0
| ~ stoppedIn(X1,X2,n1) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_106,plain,
( X1 = tapOn
| holdsAt(filling,X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_107,plain,
( X1 = n2
| ~ less(n2,X1)
| ~ less(X1,n3) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_108,plain,
( X1 = n1
| X1 = n2
| X1 = n0
| less(n2,X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_96]) ).
cnf(c_0_109,plain,
( X1 != n0
| X2 != overflow
| ~ happens(X2,X1) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_71]),c_0_97]) ).
cnf(c_0_110,plain,
( happens(overflow,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_76,c_0_98]) ).
cnf(c_0_111,plain,
( holdsAt(X1,plus(X2,X3))
| stoppedIn(X2,X4,plus(X2,X3))
| ~ trajectory(X4,X2,X1,X3)
| ~ less(n0,X3)
| ~ initiates(X5,X4,X2)
| ~ happens(X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_112,hypothesis,
trajectory(filling,n0,waterLevel(n1),n1),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_113,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_114,plain,
~ stoppedIn(X1,X2,n1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_82]) ).
cnf(c_0_115,plain,
( esk1_3(X1,X2,X3) = tapOn
| holdsAt(filling,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_106,c_0_76]) ).
cnf(c_0_116,plain,
overflow != tapOn,
inference(split_conjunct,[status(thm)],[overflow_not_tapOn]) ).
cnf(c_0_117,plain,
( X1 = n0
| X1 = n1
| X1 = n2
| ~ less(X1,n3) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_118,plain,
( esk2_3(X1,X2,X3) != n0
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_119,hypothesis,
( holdsAt(waterLevel(n1),n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
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_111,c_0_112]),c_0_101]),c_0_101]),c_0_113])]),c_0_114]) ).
cnf(c_0_120,plain,
( holdsAt(filling,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_115]),c_0_116]) ).
cnf(c_0_121,plain,
( esk2_3(X1,X2,n3) = n2
| esk2_3(X1,X2,n3) = n1
| ~ stoppedIn(X1,X2,n3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_93]),c_0_118]) ).
fof(c_0_122,negated_conjecture,
~ ~ stoppedIn(n0,filling,n3),
inference(assume_negation,[status(cth)],[not_stopped_filling_0_3]) ).
fof(c_0_123,plain,
( ~ epred40_0
<=> ! [X3] :
( ~ happens(X3,n0)
| ~ initiates(X3,filling,n0) ) ),
introduced(definition) ).
cnf(c_0_124,plain,
( holdsAt(waterLevel(n1),n1)
| X1 != tapOn
| ~ happens(X1,n0) ),
inference(spm,[status(thm)],[c_0_119,c_0_31]) ).
cnf(c_0_125,plain,
( esk2_3(X1,X2,n3) = n1
| holdsAt(filling,n2)
| ~ stoppedIn(X1,X2,n3) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
fof(c_0_126,negated_conjecture,
stoppedIn(n0,filling,n3),
inference(fof_simplification,[status(thm)],[c_0_122]) ).
cnf(c_0_127,hypothesis,
( epred40_0
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(split_equiv,[status(thm)],[c_0_123]) ).
fof(c_0_128,plain,
! [X12,X13,X14] :
( ~ holdsAt(waterLevel(X13),X12)
| ~ holdsAt(waterLevel(X14),X12)
| X13 = X14 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[same_waterLevel])]) ).
cnf(c_0_129,plain,
( holdsAt(waterLevel(n1),n1)
| X1 != tapOn ),
inference(spm,[status(thm)],[c_0_124,c_0_39]) ).
cnf(c_0_130,plain,
( holdsAt(filling,n2)
| happens(overflow,n1)
| ~ stoppedIn(X1,X2,n3) ),
inference(spm,[status(thm)],[c_0_110,c_0_125]) ).
cnf(c_0_131,negated_conjecture,
stoppedIn(n0,filling,n3),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_132,plain,
( epred40_0
| X1 != tapOn
| ~ happens(X1,n0) ),
inference(spm,[status(thm)],[c_0_127,c_0_31]) ).
cnf(c_0_133,plain,
( X1 = X2
| ~ holdsAt(waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_134,plain,
holdsAt(waterLevel(n1),n1),
inference(er,[status(thm)],[c_0_129]) ).
cnf(c_0_135,plain,
( X1 = tapOn
| holdsAt(waterLevel(n3),X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_136,negated_conjecture,
( holdsAt(filling,n2)
| happens(overflow,n1) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
fof(c_0_137,plain,
( ~ epred39_0
<=> ! [X2,X1] :
( stoppedIn(n0,filling,plus(n0,X2))
| holdsAt(waterLevel(X1),plus(n0,X2))
| ~ less(n0,X2)
| X1 != plus(n0,X2) ) ),
introduced(definition) ).
cnf(c_0_138,hypothesis,
( trajectory(filling,n0,waterLevel(X1),X2)
| X1 != plus(n0,X2) ),
inference(spm,[status(thm)],[c_0_79,c_0_44]) ).
cnf(c_0_139,plain,
( epred40_0
| X1 != tapOn ),
inference(spm,[status(thm)],[c_0_132,c_0_39]) ).
cnf(c_0_140,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_141,plain,
( less_or_equal(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_142,plain,
( ~ epred24_0
<=> ! [X1] :
( ~ holdsAt(X1,n2)
| X1 != filling ) ),
introduced(definition) ).
cnf(c_0_143,plain,
( X1 = n1
| ~ holdsAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_144,negated_conjecture,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_116]) ).
cnf(c_0_145,hypothesis,
( ~ epred40_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_138]),c_0_137]),c_0_123]) ).
cnf(c_0_146,plain,
epred40_0,
inference(er,[status(thm)],[c_0_139]) ).
cnf(c_0_147,plain,
( esk2_3(X1,X2,n3) = n1
| less(X1,n2)
| ~ stoppedIn(X1,X2,n3) ),
inference(spm,[status(thm)],[c_0_104,c_0_121]) ).
cnf(c_0_148,plain,
( less(X1,n2)
| ~ less(X1,n1) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_149,plain,
( esk2_3(X1,X2,n3) = n1
| happens(overflow,n2)
| ~ stoppedIn(X1,X2,n3) ),
inference(spm,[status(thm)],[c_0_110,c_0_121]) ).
cnf(c_0_150,plain,
( epred24_0
| X1 != filling
| ~ holdsAt(X1,n2) ),
inference(split_equiv,[status(thm)],[c_0_142]) ).
cnf(c_0_151,plain,
( n3 = n1
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_152,hypothesis,
~ epred39_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_146])]) ).
cnf(c_0_153,plain,
( less(X1,n2)
| ~ stoppedIn(X1,X2,n3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_147]),c_0_148]) ).
cnf(c_0_154,plain,
( happens(overflow,n2)
| happens(overflow,n1)
| ~ stoppedIn(X1,X2,n3) ),
inference(spm,[status(thm)],[c_0_110,c_0_149]) ).
fof(c_0_155,plain,
( ~ epred25_0
<=> ! [X2] :
( ~ happens(X2,n1)
| X2 != overflow ) ),
introduced(definition) ).
cnf(c_0_156,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[plus1_1]) ).
cnf(c_0_157,plain,
( n3 = n1
| epred24_0 ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_158,plain,
( esk2_3(X1,X2,n2) = n1
| less(esk2_3(X1,X2,n2),n1)
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[c_0_84,c_0_93]) ).
cnf(c_0_159,hypothesis,
( holdsAt(waterLevel(X1),plus(n0,X2))
| stoppedIn(n0,filling,plus(n0,X2))
| X1 != plus(n0,X2)
| ~ less(n0,X2) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_137]),c_0_152]) ).
cnf(c_0_160,plain,
plus(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[plus0_2]) ).
cnf(c_0_161,negated_conjecture,
less(n0,n2),
inference(spm,[status(thm)],[c_0_153,c_0_131]) ).
cnf(c_0_162,negated_conjecture,
( happens(overflow,n1)
| happens(overflow,n2) ),
inference(spm,[status(thm)],[c_0_154,c_0_131]) ).
cnf(c_0_163,plain,
( ~ epred25_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_156]),c_0_142]),c_0_155]) ).
cnf(c_0_164,negated_conjecture,
epred24_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_157]),c_0_114]) ).
cnf(c_0_165,plain,
( esk2_3(X1,X2,n2) = n1
| esk2_3(X1,X2,n2) = n0
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[c_0_92,c_0_158]) ).
cnf(c_0_166,hypothesis,
( holdsAt(waterLevel(X1),n2)
| stoppedIn(n0,filling,n2)
| X1 != n2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161])]) ).
cnf(c_0_167,plain,
( epred25_0
| X1 != overflow
| ~ happens(X1,n1) ),
inference(split_equiv,[status(thm)],[c_0_155]) ).
cnf(c_0_168,negated_conjecture,
( holdsAt(waterLevel(n3),n2)
| happens(overflow,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_162]),c_0_116]) ).
cnf(c_0_169,plain,
~ epred25_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_164])]) ).
cnf(c_0_170,plain,
( happens(overflow,n1)
| ~ stoppedIn(X1,X2,n2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_165]),c_0_118]) ).
cnf(c_0_171,hypothesis,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2) ),
inference(er,[status(thm)],[c_0_166]) ).
cnf(c_0_172,negated_conjecture,
holdsAt(waterLevel(n3),n2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]) ).
cnf(c_0_173,hypothesis,
( holdsAt(waterLevel(n2),n2)
| happens(overflow,n1) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_174,plain,
( less(X1,n3)
| ~ less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_175,negated_conjecture,
( X1 = n3
| ~ holdsAt(waterLevel(X1),n2) ),
inference(spm,[status(thm)],[c_0_133,c_0_172]) ).
cnf(c_0_176,hypothesis,
holdsAt(waterLevel(n2),n2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_173]),c_0_169]) ).
cnf(c_0_177,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_178,plain,
less(n2,n3),
inference(spm,[status(thm)],[c_0_174,c_0_103]) ).
cnf(c_0_179,negated_conjecture,
n2 = n3,
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_180,plain,
~ less(X1,X1),
inference(er,[status(thm)],[c_0_177]) ).
cnf(c_0_181,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_179]),c_0_180]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR011+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Thu Jun 9 16:44:10 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.27/3.45 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.27/3.45 # Preprocessing time : 0.020 s
% 0.27/3.45
% 0.27/3.45 # Proof found!
% 0.27/3.45 # SZS status Theorem
% 0.27/3.45 # SZS output start CNFRefutation
% See solution above
% 0.27/3.45 # Proof object total steps : 182
% 0.27/3.45 # Proof object clause steps : 129
% 0.27/3.45 # Proof object formula steps : 53
% 0.27/3.45 # Proof object conjectures : 13
% 0.27/3.45 # Proof object clause conjectures : 10
% 0.27/3.45 # Proof object formula conjectures : 3
% 0.27/3.45 # Proof object initial clauses used : 47
% 0.27/3.45 # Proof object initial formulas used : 23
% 0.27/3.45 # Proof object generating inferences : 69
% 0.27/3.45 # Proof object simplifying inferences : 52
% 0.27/3.45 # Training examples: 0 positive, 0 negative
% 0.27/3.45 # Parsed axioms : 55
% 0.27/3.45 # Removed by relevancy pruning/SinE : 0
% 0.27/3.45 # Initial clauses : 137
% 0.27/3.45 # Removed in clause preprocessing : 1
% 0.27/3.45 # Initial clauses in saturation : 136
% 0.27/3.45 # Processed clauses : 8577
% 0.27/3.45 # ...of these trivial : 76
% 0.27/3.45 # ...subsumed : 5220
% 0.27/3.45 # ...remaining for further processing : 3281
% 0.27/3.45 # Other redundant clauses eliminated : 1212
% 0.27/3.45 # Clauses deleted for lack of memory : 0
% 0.27/3.45 # Backward-subsumed : 369
% 0.27/3.45 # Backward-rewritten : 605
% 0.27/3.45 # Generated clauses : 76708
% 0.27/3.45 # ...of the previous two non-trivial : 70673
% 0.27/3.45 # Contextual simplify-reflections : 5214
% 0.27/3.45 # Paramodulations : 74488
% 0.27/3.45 # Factorizations : 19
% 0.27/3.45 # Equation resolutions : 1602
% 0.27/3.45 # Current number of processed clauses : 2033
% 0.27/3.45 # Positive orientable unit clauses : 153
% 0.27/3.45 # Positive unorientable unit clauses: 1
% 0.27/3.45 # Negative unit clauses : 211
% 0.27/3.45 # Non-unit-clauses : 1668
% 0.27/3.45 # Current number of unprocessed clauses: 41564
% 0.27/3.45 # ...number of literals in the above : 377200
% 0.27/3.45 # Current number of archived formulas : 0
% 0.27/3.45 # Current number of archived clauses : 977
% 0.27/3.45 # Clause-clause subsumption calls (NU) : 2807977
% 0.27/3.45 # Rec. Clause-clause subsumption calls : 505289
% 0.27/3.45 # Non-unit clause-clause subsumptions : 9410
% 0.27/3.45 # Unit Clause-clause subsumption calls : 203215
% 0.27/3.45 # Rewrite failures with RHS unbound : 0
% 0.27/3.45 # BW rewrite match attempts : 238
% 0.27/3.45 # BW rewrite match successes : 154
% 0.27/3.45 # Condensation attempts : 0
% 0.27/3.45 # Condensation successes : 0
% 0.27/3.45 # Termbank termtop insertions : 1255152
% 0.27/3.45
% 0.27/3.45 # -------------------------------------------------
% 0.27/3.45 # User time : 2.015 s
% 0.27/3.45 # System time : 0.031 s
% 0.27/3.45 # Total time : 2.046 s
% 0.27/3.45 # Maximum resident set size: 52208 pages
%------------------------------------------------------------------------------