TSTP Solution File: CSR005+2 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : CSR005+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 07:35:01 EDT 2024
% Result : Theorem 11.62s 1.95s
% Output : CNFRefutation 11.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 32
% Syntax : Number of formulae : 188 ( 56 unt; 0 def)
% Number of atoms : 758 ( 279 equ)
% Maximal formula atoms : 194 ( 4 avg)
% Number of connectives : 853 ( 283 ~; 423 |; 121 &)
% ( 13 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-3 aty)
% Number of variables : 328 ( 15 sgn 137 !; 14 ?)
% 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/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',initiates_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/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',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/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',keep_not_released) ).
fof(happens_holds,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& initiates(X4,X2,X5) )
=> holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',happens_holds) ).
fof(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',symmetry_of_plus) ).
fof(filling_not_waterLevel,axiom,
! [X12] : filling != waterLevel(X12),
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',filling_not_waterLevel) ).
fof(releases_all_defn,axiom,
! [X4,X2,X5] :
( releases(X4,X2,X5)
<=> ? [X9] :
( X4 = tapOn
& X2 = waterLevel(X9) ) ),
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',releases_all_defn) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',plus0_1) ).
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/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',keep_holding) ).
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/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',happens_all_defn) ).
fof(keep_not_holding,axiom,
! [X2,X5] :
( ( ~ holdsAt(X2,X5)
& ~ releasedAt(X2,plus(X5,n1))
& ~ ? [X4] :
( happens(X4,X5)
& initiates(X4,X2,X5) ) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',keep_not_holding) ).
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/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',stoppedin_defn) ).
fof(terminates_all_defn,axiom,
! [X4,X2,X5] :
( terminates(X4,X2,X5)
<=> ( ( X4 = tapOff
& X2 = filling )
| ( X4 = overflow
& X2 = filling ) ) ),
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',terminates_all_defn) ).
fof(tapOff_not_overflow,axiom,
tapOff != overflow,
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',tapOff_not_overflow) ).
fof(tapOff_not_tapOn,axiom,
tapOff != tapOn,
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',tapOff_not_tapOn) ).
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/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',change_of_waterLevel) ).
fof(less_or_equal,axiom,
! [X12,X13] :
( less_or_equal(X12,X13)
<=> ( less(X12,X13)
| X12 = X13 ) ),
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',less_or_equal) ).
fof(less1,axiom,
! [X12] :
( less(X12,n1)
<=> less_or_equal(X12,n0) ),
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',less1) ).
fof(less0,axiom,
~ ? [X12] : less(X12,n0),
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',less0) ).
fof(not_filling_0,hypothesis,
~ holdsAt(filling,n0),
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',not_filling_0) ).
fof(overflow_not_tapOn,axiom,
overflow != tapOn,
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',overflow_not_tapOn) ).
fof(less2,axiom,
! [X12] :
( less(X12,n2)
<=> less_or_equal(X12,n1) ),
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',less2) ).
fof(plus1_1,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',plus1_1) ).
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/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',change_holding) ).
fof(filling_3,conjecture,
holdsAt(filling,n3),
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',filling_3) ).
fof(same_waterLevel,axiom,
! [X5,X10,X11] :
( ( holdsAt(waterLevel(X10),X5)
& holdsAt(waterLevel(X11),X5) )
=> X10 = X11 ),
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',same_waterLevel) ).
fof(plus0_2,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',plus0_2) ).
fof(plus1_2,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',plus1_2) ).
fof(waterLevel_0,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',waterLevel_0) ).
fof(less_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',less_property) ).
fof(less3,axiom,
! [X12] :
( less(X12,n3)
<=> less_or_equal(X12,n2) ),
file('/export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p',less3) ).
fof(c_0_31,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_32,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_31]) ).
fof(c_0_33,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_34,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]) ).
fof(c_0_35,plain,
! [X56,X57,X58] :
( ~ happens(X56,X57)
| ~ initiates(X56,X58,X57)
| holdsAt(X58,plus(X57,n1)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_holds])])]) ).
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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_37,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(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])])])])]) ).
fof(c_0_38,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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
fof(c_0_39,plain,
! [X95,X96] : plus(X95,X96) = plus(X96,X95),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
fof(c_0_40,plain,
! [X12] : filling != waterLevel(X12),
inference(fof_simplification,[status(thm)],[filling_not_waterLevel]) ).
fof(c_0_41,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(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[releases_all_defn])])])])])])]) ).
fof(c_0_42,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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])])]) ).
cnf(c_0_43,plain,
( holdsAt(X3,plus(X2,n1))
| ~ happens(X1,X2)
| ~ initiates(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,plain,
( initiates(X2,X1,X3)
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,plain,
( epred1_3(X2,X1,X3)
| X1 != tapOn
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,plain,
( ~ initiates(X1,X2,X3)
| ~ happens(X1,X3)
| ~ releasedAt(X2,plus(X3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
fof(c_0_49,plain,
! [X91] : filling != waterLevel(X91),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_40])]) ).
cnf(c_0_50,plain,
( X1 = waterLevel(esk9_2(X2,X1))
| ~ releases(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_51,plain,
( releases(esk8_2(X1,X2),X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_52,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_53,plain,
( holdsAt(X1,plus(X2,n1))
| ~ epred1_3(X1,X3,X2)
| ~ happens(X3,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_54,plain,
epred1_3(filling,tapOn,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_45])]) ).
fof(c_0_55,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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])])]) ).
cnf(c_0_56,plain,
( ~ releasedAt(X1,plus(n1,X2))
| ~ initiates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_57,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_48,c_0_47]) ).
fof(c_0_58,plain,
! [X2,X5] :
( ( ~ holdsAt(X2,X5)
& ~ releasedAt(X2,plus(X5,n1))
& ~ ? [X4] :
( happens(X4,X5)
& initiates(X4,X2,X5) ) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[keep_not_holding]) ).
fof(c_0_59,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(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[stoppedin_defn])])])])])])]) ).
fof(c_0_60,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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[terminates_all_defn])])])]) ).
fof(c_0_61,plain,
tapOff != overflow,
inference(fof_simplification,[status(thm)],[tapOff_not_overflow]) ).
fof(c_0_62,plain,
tapOff != tapOn,
inference(fof_simplification,[status(thm)],[tapOff_not_tapOn]) ).
cnf(c_0_63,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_64,plain,
( waterLevel(esk9_2(esk8_2(X1,X2),X1)) = X1
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_65,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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])])]) ).
cnf(c_0_66,plain,
( holdsAt(filling,plus(X1,n1))
| ~ happens(tapOn,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_67,plain,
( happens(X1,X2)
| X1 != tapOn
| X2 != n0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_68,plain,
( ~ releasedAt(X1,n1)
| ~ initiates(X2,X1,n0)
| ~ happens(X2,n0) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_69,plain,
! [X84,X85,X86,X87] :
( ~ holdsAt(waterLevel(X84),X85)
| X86 != plus(X84,X87)
| trajectory(filling,X85,waterLevel(X86),X87) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])])]) ).
fof(c_0_70,plain,
! [X47,X48] :
( ( happens(esk6_2(X47,X48),X48)
| holdsAt(X47,X48)
| releasedAt(X47,plus(X48,n1))
| ~ holdsAt(X47,plus(X48,n1)) )
& ( initiates(esk6_2(X47,X48),X47,X48)
| holdsAt(X47,X48)
| releasedAt(X47,plus(X48,n1))
| ~ holdsAt(X47,plus(X48,n1)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])])]) ).
cnf(c_0_71,plain,
( X1 = overflow
| X1 = tapOn
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_72,plain,
( happens(esk1_3(X1,X2,X3),esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_73,plain,
( X1 = overflow
| X1 = tapOff
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_74,plain,
( terminates(esk1_3(X1,X2,X3),X2,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
fof(c_0_75,plain,
tapOff != overflow,
inference(fof_nnf,[status(thm)],[c_0_61]) ).
fof(c_0_76,plain,
tapOff != tapOn,
inference(fof_nnf,[status(thm)],[c_0_62]) ).
fof(c_0_77,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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_or_equal])])])]) ).
fof(c_0_78,plain,
! [X100] :
( ( ~ less(X100,n1)
| less_or_equal(X100,n0) )
& ( ~ less_or_equal(X100,n0)
| less(X100,n1) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])])]) ).
fof(c_0_79,plain,
! [X99] : ~ less(X99,n0),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])])]) ).
cnf(c_0_80,plain,
( releasedAt(filling,X1)
| ~ releasedAt(filling,plus(X1,n1)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64])]) ).
cnf(c_0_81,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_65]) ).
cnf(c_0_82,plain,
( holdsAt(filling,plus(n1,X1))
| ~ happens(tapOn,X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_47]) ).
cnf(c_0_83,plain,
happens(tapOn,n0),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_67])]) ).
cnf(c_0_84,plain,
( ~ epred1_3(X1,X2,n0)
| ~ releasedAt(X1,n1)
| ~ happens(X2,n0) ),
inference(spm,[status(thm)],[c_0_68,c_0_44]) ).
cnf(c_0_85,plain,
( trajectory(filling,X2,waterLevel(X3),X4)
| ~ holdsAt(waterLevel(X1),X2)
| X3 != plus(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_86,plain,
( holdsAt(filling,X1)
| X2 = tapOn
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_87,plain,
( happens(esk6_2(X1,X2),X2)
| holdsAt(X1,X2)
| releasedAt(X1,plus(X2,n1))
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
fof(c_0_88,hypothesis,
~ holdsAt(filling,n0),
inference(fof_simplification,[status(thm)],[not_filling_0]) ).
cnf(c_0_89,plain,
( esk1_3(X1,X2,X3) = overflow
| esk1_3(X1,X2,X3) = tapOn
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_90,plain,
( esk1_3(X1,X2,X3) = tapOff
| esk1_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_91,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_92,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_93,plain,
overflow != tapOn,
inference(fof_simplification,[status(thm)],[overflow_not_tapOn]) ).
fof(c_0_94,plain,
! [X101] :
( ( ~ less(X101,n2)
| less_or_equal(X101,n1) )
& ( ~ less_or_equal(X101,n1)
| less(X101,n2) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less2])])]) ).
cnf(c_0_95,plain,
( less(X1,X2)
| X1 = X2
| ~ less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_96,plain,
( less_or_equal(X1,n0)
| ~ less(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_97,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_98,plain,
( holdsAt(waterLevel(n3),X1)
| X1 = n0
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_99,plain,
( releasedAt(filling,X1)
| ~ releasedAt(filling,plus(n1,X1)) ),
inference(spm,[status(thm)],[c_0_80,c_0_47]) ).
cnf(c_0_100,plain,
( esk5_2(X1,X2) = overflow
| esk5_2(X1,X2) = tapOn
| releasedAt(X1,plus(X2,n1))
| holdsAt(X1,plus(X2,n1))
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_81]) ).
cnf(c_0_101,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[plus1_1]) ).
cnf(c_0_102,plain,
holdsAt(filling,n1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_57]),c_0_83])]) ).
cnf(c_0_103,plain,
~ releasedAt(filling,n1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_54]),c_0_83])]) ).
cnf(c_0_104,plain,
( holdsAt(waterLevel(n3),X1)
| X2 = tapOn
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_105,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_106,plain,
( trajectory(filling,X1,waterLevel(plus(X2,X3)),X3)
| ~ holdsAt(waterLevel(X2),X1) ),
inference(er,[status(thm)],[c_0_85]) ).
cnf(c_0_107,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_108,plain,
( esk6_2(X1,X2) = tapOn
| releasedAt(X1,plus(X2,n1))
| holdsAt(filling,X2)
| holdsAt(X1,X2)
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
fof(c_0_109,hypothesis,
~ holdsAt(filling,n0),
inference(fof_nnf,[status(thm)],[c_0_88]) ).
cnf(c_0_110,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_89,c_0_90]),c_0_91]),c_0_92]) ).
fof(c_0_111,plain,
overflow != tapOn,
inference(fof_nnf,[status(thm)],[c_0_93]) ).
cnf(c_0_112,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_59]) ).
cnf(c_0_113,plain,
( less_or_equal(X1,n1)
| ~ less(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_114,plain,
( less(esk2_3(X1,X2,X3),X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_115,plain,
( X1 = n0
| ~ less(X1,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
cnf(c_0_116,plain,
( X1 = n0
| releasedAt(X2,plus(X1,n1))
| holdsAt(X2,plus(X1,n1))
| holdsAt(waterLevel(n3),X1)
| ~ holdsAt(X2,X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_81]) ).
fof(c_0_117,negated_conjecture,
~ holdsAt(filling,n3),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[filling_3])]) ).
cnf(c_0_118,plain,
( esk5_2(filling,n1) = tapOn
| esk5_2(filling,n1) = overflow
| holdsAt(filling,n2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]),c_0_102])]),c_0_103]) ).
cnf(c_0_119,plain,
~ releasedAt(filling,n2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_101]),c_0_103]) ).
cnf(c_0_120,plain,
( holdsAt(filling,n2)
| ~ happens(tapOn,n1) ),
inference(spm,[status(thm)],[c_0_66,c_0_101]) ).
cnf(c_0_121,plain,
( esk5_2(X1,X2) = tapOn
| releasedAt(X1,plus(X2,n1))
| holdsAt(X1,plus(X2,n1))
| holdsAt(waterLevel(n3),X2)
| ~ holdsAt(X1,X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_81]) ).
fof(c_0_122,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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])])]) ).
cnf(c_0_123,plain,
( trajectory(filling,X1,waterLevel(plus(X2,X3)),X2)
| ~ holdsAt(waterLevel(X3),X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_47]) ).
cnf(c_0_124,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_125,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_107]) ).
cnf(c_0_126,plain,
( esk6_2(X1,X2) = tapOn
| releasedAt(X1,plus(n1,X2))
| holdsAt(filling,X2)
| holdsAt(X1,X2)
| ~ holdsAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_108,c_0_47]) ).
cnf(c_0_127,hypothesis,
~ holdsAt(filling,n0),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
fof(c_0_128,plain,
! [X88,X89,X90] :
( ~ holdsAt(waterLevel(X89),X88)
| ~ holdsAt(waterLevel(X90),X88)
| X89 = X90 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[same_waterLevel])])]) ).
cnf(c_0_129,plain,
( happens(overflow,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_72,c_0_110]) ).
cnf(c_0_130,plain,
overflow != tapOn,
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_131,plain,
( stoppedIn(X1,X2,X3)
| ~ less(X1,esk2_3(X4,X2,X5))
| ~ less(esk2_3(X4,X2,X5),X3)
| ~ stoppedIn(X4,X2,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_74]),c_0_72]) ).
cnf(c_0_132,plain,
( less(X1,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_133,plain,
( less_or_equal(esk2_3(X1,X2,n2),n1)
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_134,plain,
( esk2_3(X1,X2,n1) = n0
| ~ stoppedIn(X1,X2,n1) ),
inference(spm,[status(thm)],[c_0_115,c_0_114]) ).
cnf(c_0_135,plain,
( X1 = n0
| releasedAt(filling,X1)
| holdsAt(filling,plus(X1,n1))
| holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_116]) ).
fof(c_0_136,negated_conjecture,
~ holdsAt(filling,n3),
inference(fof_nnf,[status(thm)],[c_0_117]) ).
cnf(c_0_137,plain,
( esk5_2(filling,n1) = overflow
| holdsAt(filling,n2) ),
inference(csr,[status(thm)],[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_81,c_0_118]),c_0_101]),c_0_101]),c_0_102])]),c_0_119]),c_0_120]) ).
cnf(c_0_138,plain,
( esk5_2(filling,n1) = tapOn
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_121]),c_0_101]),c_0_102])]),c_0_103]) ).
cnf(c_0_139,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_122]) ).
cnf(c_0_140,plain,
( trajectory(filling,X1,waterLevel(n1),n1)
| ~ holdsAt(waterLevel(n0),X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_57]) ).
cnf(c_0_141,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_142,plain,
( initiates(esk6_2(X1,X2),X1,X2)
| holdsAt(X1,X2)
| releasedAt(X1,plus(X2,n1))
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_143,plain,
( esk6_2(X1,n0) = tapOn
| releasedAt(X1,n1)
| holdsAt(X1,n0)
| ~ holdsAt(X1,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_57]),c_0_127]) ).
cnf(c_0_144,plain,
( X1 = X3
| ~ holdsAt(waterLevel(X1),X2)
| ~ holdsAt(waterLevel(X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_145,plain,
( holdsAt(waterLevel(n3),esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_129]),c_0_130]) ).
cnf(c_0_146,plain,
( stoppedIn(X1,X2,X3)
| ~ less(esk2_3(X1,X2,X4),X3)
| ~ stoppedIn(X1,X2,X4) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_147,plain,
( esk2_3(X1,X2,n2) = n1
| less(esk2_3(X1,X2,n2),n1)
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[c_0_95,c_0_133]) ).
cnf(c_0_148,plain,
~ stoppedIn(X1,X2,n1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_134]),c_0_97]) ).
cnf(c_0_149,plain,
plus(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[plus0_2]) ).
cnf(c_0_150,plain,
( X1 = n0
| releasedAt(filling,X1)
| holdsAt(filling,plus(n1,X1))
| holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_47]) ).
cnf(c_0_151,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[plus1_2]) ).
cnf(c_0_152,negated_conjecture,
~ holdsAt(filling,n3),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_153,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_130]) ).
cnf(c_0_154,plain,
( holdsAt(waterLevel(n1),plus(X1,n1))
| stoppedIn(X1,filling,plus(X1,n1))
| ~ holdsAt(waterLevel(n0),X1)
| ~ initiates(X2,filling,X1)
| ~ happens(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141])]) ).
cnf(c_0_155,plain,
( releasedAt(X1,n1)
| holdsAt(X1,n0)
| initiates(tapOn,X1,n0)
| ~ holdsAt(X1,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_47]),c_0_57]),c_0_47]),c_0_57])]) ).
cnf(c_0_156,hypothesis,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[waterLevel_0]) ).
cnf(c_0_157,plain,
( X1 = n3
| ~ holdsAt(waterLevel(X1),esk2_3(X2,X3,X4))
| ~ stoppedIn(X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_158,plain,
( esk2_3(X1,X2,n2) = n1
| ~ stoppedIn(X1,X2,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]) ).
cnf(c_0_159,plain,
( trajectory(filling,X1,waterLevel(n2),n2)
| ~ holdsAt(waterLevel(n0),X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_149]) ).
fof(c_0_160,plain,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
inference(fof_simplification,[status(thm)],[less_property]) ).
cnf(c_0_161,plain,
( n2 = n0
| holdsAt(waterLevel(n3),n2)
| ~ holdsAt(filling,n2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_119]),c_0_152]) ).
cnf(c_0_162,plain,
( X1 = n3
| holdsAt(filling,n2)
| ~ holdsAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[c_0_144,c_0_153]) ).
cnf(c_0_163,plain,
holdsAt(waterLevel(n1),n1),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_47]),c_0_57]),c_0_47]),c_0_57]),c_0_156]),c_0_83]),c_0_102])]),c_0_148]),c_0_103]),c_0_127]) ).
cnf(c_0_164,plain,
( X1 = n3
| ~ holdsAt(waterLevel(X1),n1)
| ~ stoppedIn(X2,X3,n2) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_165,plain,
( holdsAt(waterLevel(n2),plus(X1,n2))
| stoppedIn(X1,filling,plus(X1,n2))
| ~ holdsAt(waterLevel(n0),X1)
| ~ initiates(X2,filling,X1)
| ~ less(n0,n2)
| ~ happens(X2,X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_159]) ).
fof(c_0_166,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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_160])])])]) ).
fof(c_0_167,plain,
! [X102] :
( ( ~ less(X102,n3)
| less_or_equal(X102,n2) )
& ( ~ less_or_equal(X102,n2)
| less(X102,n3) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less3])])]) ).
cnf(c_0_168,plain,
( n2 = n0
| X1 = n3
| ~ holdsAt(waterLevel(X1),n2)
| ~ holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_144,c_0_161]) ).
cnf(c_0_169,plain,
( n3 = n1
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_170,plain,
( n3 = n1
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[c_0_164,c_0_163]) ).
cnf(c_0_171,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ less(n0,n2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_155]),c_0_149]),c_0_149]),c_0_156]),c_0_83]),c_0_102])]),c_0_103]),c_0_127]) ).
cnf(c_0_172,plain,
( less(X1,X2)
| X1 = X2
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_173,plain,
( less(X1,n3)
| ~ less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_174,plain,
( n3 = n1
| n2 = n0
| X1 = n3
| ~ holdsAt(waterLevel(X1),n2) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_175,plain,
( n3 = n1
| holdsAt(waterLevel(n2),n2)
| ~ less(n0,n2) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_176,plain,
( X1 = n0
| less(n0,X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_172]) ).
cnf(c_0_177,plain,
( X1 != X2
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_178,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_179,plain,
less(n2,n3),
inference(spm,[status(thm)],[c_0_173,c_0_125]) ).
cnf(c_0_180,plain,
( n2 = n3
| n2 = n0
| n3 = n1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]) ).
cnf(c_0_181,plain,
~ less(X1,X1),
inference(er,[status(thm)],[c_0_177]) ).
cnf(c_0_182,plain,
~ less(n3,n2),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_183,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_184,plain,
( n3 = n1
| n2 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]) ).
cnf(c_0_185,plain,
~ less_or_equal(n3,n1),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_186,plain,
n3 = n1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_184]),c_0_57])]) ).
cnf(c_0_187,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_186]),c_0_125])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR005+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 14:33:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order model finding
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.MX90gOmn1P/E---3.1_27530.p
% 11.62/1.95 # Version: 3.1.0
% 11.62/1.95 # Preprocessing class: FSLSSMSMSSSNFFN.
% 11.62/1.95 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.62/1.95 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 11.62/1.95 # Starting new_bool_3 with 300s (1) cores
% 11.62/1.95 # Starting new_bool_1 with 300s (1) cores
% 11.62/1.95 # Starting sh5l with 300s (1) cores
% 11.62/1.95 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 27607 completed with status 0
% 11.62/1.95 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 11.62/1.95 # Preprocessing class: FSLSSMSMSSSNFFN.
% 11.62/1.95 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.62/1.95 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 11.62/1.95 # No SInE strategy applied
% 11.62/1.95 # Search class: FGHSF-FSLM32-SFFFFFNN
% 11.62/1.95 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 11.62/1.95 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 811s (1) cores
% 11.62/1.95 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 11.62/1.95 # Starting new_bool_3 with 136s (1) cores
% 11.62/1.95 # Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 11.62/1.95 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 136s (1) cores
% 11.62/1.95 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 27614 completed with status 0
% 11.62/1.95 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 11.62/1.95 # Preprocessing class: FSLSSMSMSSSNFFN.
% 11.62/1.95 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.62/1.95 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 11.62/1.95 # No SInE strategy applied
% 11.62/1.95 # Search class: FGHSF-FSLM32-SFFFFFNN
% 11.62/1.95 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 11.62/1.95 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 811s (1) cores
% 11.62/1.95 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 11.62/1.95 # Preprocessing time : 0.003 s
% 11.62/1.95 # Presaturation interreduction done
% 11.62/1.95
% 11.62/1.95 # Proof found!
% 11.62/1.95 # SZS status Theorem
% 11.62/1.95 # SZS output start CNFRefutation
% See solution above
% 11.62/1.95 # Parsed axioms : 56
% 11.62/1.95 # Removed by relevancy pruning/SinE : 0
% 11.62/1.95 # Initial clauses : 138
% 11.62/1.95 # Removed in clause preprocessing : 1
% 11.62/1.95 # Initial clauses in saturation : 137
% 11.62/1.95 # Processed clauses : 12852
% 11.62/1.95 # ...of these trivial : 11
% 11.62/1.95 # ...subsumed : 9201
% 11.62/1.95 # ...remaining for further processing : 3640
% 11.62/1.95 # Other redundant clauses eliminated : 168
% 11.62/1.95 # Clauses deleted for lack of memory : 0
% 11.62/1.95 # Backward-subsumed : 478
% 11.62/1.95 # Backward-rewritten : 1127
% 11.62/1.95 # Generated clauses : 58055
% 11.62/1.95 # ...of the previous two non-redundant : 54041
% 11.62/1.95 # ...aggressively subsumed : 0
% 11.62/1.95 # Contextual simplify-reflections : 81
% 11.62/1.95 # Paramodulations : 57856
% 11.62/1.95 # Factorizations : 36
% 11.62/1.95 # NegExts : 0
% 11.62/1.95 # Equation resolutions : 171
% 11.62/1.95 # Disequality decompositions : 0
% 11.62/1.95 # Total rewrite steps : 14028
% 11.62/1.95 # ...of those cached : 13898
% 11.62/1.95 # Propositional unsat checks : 0
% 11.62/1.95 # Propositional check models : 0
% 11.62/1.95 # Propositional check unsatisfiable : 0
% 11.62/1.95 # Propositional clauses : 0
% 11.62/1.95 # Propositional clauses after purity: 0
% 11.62/1.95 # Propositional unsat core size : 0
% 11.62/1.95 # Propositional preprocessing time : 0.000
% 11.62/1.95 # Propositional encoding time : 0.000
% 11.62/1.95 # Propositional solver time : 0.000
% 11.62/1.95 # Success case prop preproc time : 0.000
% 11.62/1.95 # Success case prop encoding time : 0.000
% 11.62/1.95 # Success case prop solver time : 0.000
% 11.62/1.95 # Current number of processed clauses : 1906
% 11.62/1.95 # Positive orientable unit clauses : 25
% 11.62/1.95 # Positive unorientable unit clauses: 1
% 11.62/1.95 # Negative unit clauses : 115
% 11.62/1.95 # Non-unit-clauses : 1765
% 11.62/1.95 # Current number of unprocessed clauses: 38322
% 11.62/1.95 # ...number of literals in the above : 268949
% 11.62/1.95 # Current number of archived formulas : 0
% 11.62/1.95 # Current number of archived clauses : 1722
% 11.62/1.95 # Clause-clause subsumption calls (NU) : 2332769
% 11.62/1.95 # Rec. Clause-clause subsumption calls : 679256
% 11.62/1.95 # Non-unit clause-clause subsumptions : 6074
% 11.62/1.95 # Unit Clause-clause subsumption calls : 35691
% 11.62/1.95 # Rewrite failures with RHS unbound : 0
% 11.62/1.95 # BW rewrite match attempts : 44
% 11.62/1.95 # BW rewrite match successes : 44
% 11.62/1.95 # Condensation attempts : 0
% 11.62/1.95 # Condensation successes : 0
% 11.62/1.95 # Termbank termtop insertions : 1030917
% 11.62/1.95 # Search garbage collected termcells : 1496
% 11.62/1.95
% 11.62/1.95 # -------------------------------------------------
% 11.62/1.95 # User time : 1.404 s
% 11.62/1.95 # System time : 0.033 s
% 11.62/1.95 # Total time : 1.437 s
% 11.62/1.95 # Maximum resident set size: 2124 pages
% 11.62/1.95
% 11.62/1.95 # -------------------------------------------------
% 11.62/1.95 # User time : 7.035 s
% 11.62/1.95 # System time : 0.136 s
% 11.62/1.95 # Total time : 7.171 s
% 11.62/1.95 # Maximum resident set size: 1756 pages
% 11.62/1.95 % E---3.1 exiting
%------------------------------------------------------------------------------