TSTP Solution File: CSR002+2 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : CSR002+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 0.39s 0.61s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of formulae : 95 ( 36 unt; 0 def)
% Number of atoms : 482 ( 214 equ)
% Maximal formula atoms : 194 ( 5 avg)
% Number of connectives : 557 ( 170 ~; 277 |; 93 &)
% ( 9 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-3 aty)
% Number of variables : 157 ( 8 sgn 86 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(happens_not_released,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& ( initiates(X4,X2,X5)
| terminates(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',happens_not_released) ).
fof(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',symmetry_of_plus) ).
fof(keep_not_released,axiom,
! [X2,X5] :
( ( ~ releasedAt(X2,X5)
& ~ ? [X4] :
( happens(X4,X5)
& releases(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',keep_not_released) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',plus0_1) ).
fof(initiates_all_defn,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> ( ( X4 = tapOn
& X2 = filling )
| ( X4 = overflow
& X2 = spilling )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = tapOff
& X2 = waterLevel(X9) )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = overflow
& X2 = waterLevel(X9) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',initiates_all_defn) ).
fof(happens_terminates_not_holds,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& terminates(X4,X2,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',happens_terminates_not_holds) ).
fof(terminates_all_defn,axiom,
! [X4,X2,X5] :
( terminates(X4,X2,X5)
<=> ( ( X4 = tapOff
& X2 = filling )
| ( X4 = overflow
& X2 = filling ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',terminates_all_defn) ).
fof(filling_not_waterLevel,axiom,
! [X12] : filling != waterLevel(X12),
file('/export/starexec/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.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/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',releases_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/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',keep_not_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/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',happens_all_defn) ).
fof(less3,axiom,
! [X12] :
( less(X12,n3)
<=> less_or_equal(X12,n2) ),
file('/export/starexec/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',less3) ).
fof(less_or_equal,axiom,
! [X12,X13] :
( less_or_equal(X12,X13)
<=> ( less(X12,X13)
| X12 = X13 ) ),
file('/export/starexec/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',less_or_equal) ).
fof(not_filling_4,conjecture,
~ holdsAt(filling,n4),
file('/export/starexec/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',not_filling_4) ).
fof(less2,axiom,
! [X12] :
( less(X12,n2)
<=> less_or_equal(X12,n1) ),
file('/export/starexec/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',less2) ).
fof(plus1_1,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',plus1_1) ).
fof(plus1_3,axiom,
plus(n1,n3) = n4,
file('/export/starexec/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',plus1_3) ).
fof(waterLevel_3,lemma,
holdsAt(waterLevel(n3),n3),
file('/export/starexec/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',waterLevel_3) ).
fof(plus1_2,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',plus1_2) ).
fof(less0,axiom,
~ ? [X12] : less(X12,n0),
file('/export/starexec/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p',less0) ).
fof(c_0_20,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_21,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_20])])])]) ).
fof(c_0_22,plain,
! [X95,X96] : plus(X95,X96) = plus(X96,X95),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
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,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_25,plain,
( ~ initiates(X1,X2,X3)
| ~ happens(X1,X3)
| ~ releasedAt(X2,plus(X3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
fof(c_0_28,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_29,plain,
! [X4,X5,X2] :
( ( happens(X4,X5)
& terminates(X4,X2,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[happens_terminates_not_holds]) ).
fof(c_0_30,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_31,plain,
! [X12] : filling != waterLevel(X12),
inference(fof_simplification,[status(thm)],[filling_not_waterLevel]) ).
fof(c_0_32,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_33,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_24])])])])]) ).
fof(c_0_34,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]) ).
cnf(c_0_35,plain,
( ~ releasedAt(X1,plus(n1,X2))
| ~ initiates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_36,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_27,c_0_26]) ).
fof(c_0_37,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_28])])]) ).
fof(c_0_38,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_23])])])])])])]) ).
fof(c_0_39,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])])])]) ).
fof(c_0_40,plain,
! [X59,X60,X61] :
( ~ happens(X59,X60)
| ~ terminates(X59,X61,X60)
| ~ holdsAt(X61,plus(X60,n1)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
cnf(c_0_41,plain,
( terminates(X1,X2,X3)
| X1 != overflow
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_42,plain,
! [X91] : filling != waterLevel(X91),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_31])]) ).
cnf(c_0_43,plain,
( X1 = waterLevel(esk9_2(X2,X1))
| ~ releases(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_44,plain,
( releases(esk8_2(X1,X2),X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_45,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_34])])])])]) ).
cnf(c_0_46,plain,
( ~ releasedAt(X1,n1)
| ~ initiates(X2,X1,n0)
| ~ happens(X2,n0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_47,plain,
( initiates(X2,X1,X3)
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_48,plain,
( epred1_3(X2,X1,X3)
| X1 != tapOn
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_49,plain,
( happens(X1,X2)
| X1 != tapOn
| X2 != n0 ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,plain,
( ~ happens(X1,X2)
| ~ terminates(X1,X3,X2)
| ~ holdsAt(X3,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_51,plain,
terminates(overflow,filling,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_41])]) ).
fof(c_0_52,plain,
! [X102] :
( ( ~ less(X102,n3)
| less_or_equal(X102,n2) )
& ( ~ less_or_equal(X102,n2)
| less(X102,n3) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less3])])]) ).
fof(c_0_53,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])])])]) ).
cnf(c_0_54,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_55,plain,
( waterLevel(esk9_2(esk8_2(X1,X2),X1)) = X1
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_56,plain,
( holdsAt(filling,X1)
| X1 = n0
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_57,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_45]) ).
cnf(c_0_58,plain,
( ~ epred1_3(X1,X2,n0)
| ~ releasedAt(X1,n1)
| ~ happens(X2,n0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_59,plain,
epred1_3(filling,tapOn,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_48])]) ).
cnf(c_0_60,plain,
happens(tapOn,n0),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_49])]) ).
cnf(c_0_61,plain,
( ~ holdsAt(filling,plus(X1,n1))
| ~ happens(overflow,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_62,negated_conjecture,
holdsAt(filling,n4),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[not_filling_4])]) ).
cnf(c_0_63,plain,
( happens(X2,X1)
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| X2 != overflow ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_64,plain,
( less(X1,n3)
| ~ less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_65,plain,
( less_or_equal(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_66,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_67,plain,
( releasedAt(filling,X1)
| ~ releasedAt(filling,plus(X1,n1)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55])]) ).
cnf(c_0_68,plain,
( X1 = n0
| releasedAt(X2,plus(X1,n1))
| holdsAt(filling,X1)
| holdsAt(X2,X1)
| ~ holdsAt(X2,plus(X1,n1)) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_69,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[plus1_1]) ).
cnf(c_0_70,plain,
~ releasedAt(filling,n1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).
cnf(c_0_71,plain,
( ~ holdsAt(filling,plus(n1,X1))
| ~ happens(overflow,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_26]) ).
cnf(c_0_72,plain,
plus(n1,n3) = n4,
inference(split_conjunct,[status(thm)],[plus1_3]) ).
cnf(c_0_73,negated_conjecture,
holdsAt(filling,n4),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_74,plain,
( happens(overflow,X1)
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1) ),
inference(er,[status(thm)],[c_0_63]) ).
cnf(c_0_75,lemma,
holdsAt(waterLevel(n3),n3),
inference(split_conjunct,[status(thm)],[waterLevel_3]) ).
cnf(c_0_76,plain,
( less(X1,n3)
| ~ less(X1,n2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_77,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_78,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_79,plain,
( X1 = n0
| releasedAt(filling,X1)
| holdsAt(filling,X1)
| ~ holdsAt(filling,plus(X1,n1)) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_80,plain,
( releasedAt(filling,X1)
| ~ releasedAt(filling,plus(n1,X1)) ),
inference(spm,[status(thm)],[c_0_67,c_0_26]) ).
cnf(c_0_81,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[plus1_2]) ).
cnf(c_0_82,plain,
~ releasedAt(filling,n2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_69]),c_0_70]) ).
cnf(c_0_83,plain,
~ happens(overflow,n3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]) ).
cnf(c_0_84,lemma,
( happens(overflow,n3)
| ~ holdsAt(filling,n3) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_85,plain,
( less(X1,n3)
| ~ less_or_equal(X1,n1) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_86,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_78]) ).
cnf(c_0_87,plain,
( X1 = n0
| releasedAt(filling,X1)
| holdsAt(filling,X1)
| ~ holdsAt(filling,plus(n1,X1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_26]) ).
cnf(c_0_88,plain,
~ releasedAt(filling,n3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_89,lemma,
~ holdsAt(filling,n3),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
fof(c_0_90,plain,
! [X99] : ~ less(X99,n0),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])])]) ).
cnf(c_0_91,plain,
less(n1,n3),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_92,plain,
n3 = n0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_72]),c_0_73])]),c_0_88]),c_0_89]) ).
cnf(c_0_93,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_94,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92]),c_0_93]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR002+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 15:17:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.49 Running first-order model finding
% 0.20/0.49 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.vCA6IH944K/E---3.1_19830.p
% 0.39/0.61 # Version: 3.1.0
% 0.39/0.61 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.39/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.61 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.39/0.61 # Starting new_bool_3 with 300s (1) cores
% 0.39/0.61 # Starting new_bool_1 with 300s (1) cores
% 0.39/0.61 # Starting sh5l with 300s (1) cores
% 0.39/0.61 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 19959 completed with status 0
% 0.39/0.61 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.39/0.61 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.39/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.61 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.39/0.61 # No SInE strategy applied
% 0.39/0.61 # Search class: FGHSF-FSLM32-SFFFFFNN
% 0.39/0.61 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.39/0.61 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 811s (1) cores
% 0.39/0.61 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.39/0.61 # Starting new_bool_3 with 136s (1) cores
% 0.39/0.61 # Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 0.39/0.61 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 136s (1) cores
% 0.39/0.61 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 19970 completed with status 0
% 0.39/0.61 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.39/0.61 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.39/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.61 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.39/0.61 # No SInE strategy applied
% 0.39/0.61 # Search class: FGHSF-FSLM32-SFFFFFNN
% 0.39/0.61 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.39/0.61 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 811s (1) cores
% 0.39/0.61 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.39/0.61 # Preprocessing time : 0.003 s
% 0.39/0.61 # Presaturation interreduction done
% 0.39/0.61
% 0.39/0.61 # Proof found!
% 0.39/0.61 # SZS status Theorem
% 0.39/0.61 # SZS output start CNFRefutation
% See solution above
% 0.39/0.61 # Parsed axioms : 56
% 0.39/0.61 # Removed by relevancy pruning/SinE : 0
% 0.39/0.61 # Initial clauses : 138
% 0.39/0.61 # Removed in clause preprocessing : 1
% 0.39/0.61 # Initial clauses in saturation : 137
% 0.39/0.61 # Processed clauses : 1446
% 0.39/0.61 # ...of these trivial : 2
% 0.39/0.61 # ...subsumed : 668
% 0.39/0.61 # ...remaining for further processing : 776
% 0.39/0.61 # Other redundant clauses eliminated : 44
% 0.39/0.61 # Clauses deleted for lack of memory : 0
% 0.39/0.61 # Backward-subsumed : 68
% 0.39/0.61 # Backward-rewritten : 114
% 0.39/0.61 # Generated clauses : 2527
% 0.39/0.61 # ...of the previous two non-redundant : 2228
% 0.39/0.61 # ...aggressively subsumed : 0
% 0.39/0.61 # Contextual simplify-reflections : 7
% 0.39/0.61 # Paramodulations : 2483
% 0.39/0.61 # Factorizations : 6
% 0.39/0.61 # NegExts : 0
% 0.39/0.61 # Equation resolutions : 46
% 0.39/0.61 # Disequality decompositions : 0
% 0.39/0.61 # Total rewrite steps : 456
% 0.39/0.61 # ...of those cached : 420
% 0.39/0.61 # Propositional unsat checks : 0
% 0.39/0.61 # Propositional check models : 0
% 0.39/0.61 # Propositional check unsatisfiable : 0
% 0.39/0.61 # Propositional clauses : 0
% 0.39/0.61 # Propositional clauses after purity: 0
% 0.39/0.61 # Propositional unsat core size : 0
% 0.39/0.61 # Propositional preprocessing time : 0.000
% 0.39/0.61 # Propositional encoding time : 0.000
% 0.39/0.61 # Propositional solver time : 0.000
% 0.39/0.61 # Success case prop preproc time : 0.000
% 0.39/0.61 # Success case prop encoding time : 0.000
% 0.39/0.61 # Success case prop solver time : 0.000
% 0.39/0.61 # Current number of processed clauses : 465
% 0.39/0.61 # Positive orientable unit clauses : 25
% 0.39/0.61 # Positive unorientable unit clauses: 1
% 0.39/0.61 # Negative unit clauses : 75
% 0.39/0.61 # Non-unit-clauses : 364
% 0.39/0.61 # Current number of unprocessed clauses: 894
% 0.39/0.61 # ...number of literals in the above : 4361
% 0.39/0.61 # Current number of archived formulas : 0
% 0.39/0.61 # Current number of archived clauses : 299
% 0.39/0.61 # Clause-clause subsumption calls (NU) : 32274
% 0.39/0.61 # Rec. Clause-clause subsumption calls : 17768
% 0.39/0.61 # Non-unit clause-clause subsumptions : 393
% 0.39/0.61 # Unit Clause-clause subsumption calls : 11877
% 0.39/0.61 # Rewrite failures with RHS unbound : 0
% 0.39/0.61 # BW rewrite match attempts : 44
% 0.39/0.61 # BW rewrite match successes : 44
% 0.39/0.61 # Condensation attempts : 0
% 0.39/0.61 # Condensation successes : 0
% 0.39/0.61 # Termbank termtop insertions : 35663
% 0.39/0.61 # Search garbage collected termcells : 1497
% 0.39/0.61
% 0.39/0.61 # -------------------------------------------------
% 0.39/0.61 # User time : 0.106 s
% 0.39/0.61 # System time : 0.006 s
% 0.39/0.61 # Total time : 0.113 s
% 0.39/0.61 # Maximum resident set size: 2124 pages
% 0.39/0.61
% 0.39/0.61 # -------------------------------------------------
% 0.39/0.61 # User time : 0.493 s
% 0.39/0.61 # System time : 0.024 s
% 0.39/0.61 # Total time : 0.517 s
% 0.39/0.61 # Maximum resident set size: 1752 pages
% 0.39/0.61 % E---3.1 exiting
%------------------------------------------------------------------------------