TSTP Solution File: CSR014+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : CSR014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 07:31:12 EDT 2024
% Result : Theorem 0.21s 0.56s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 87 ( 27 unt; 0 def)
% Number of atoms : 468 ( 225 equ)
% Maximal formula atoms : 194 ( 5 avg)
% Number of connectives : 523 ( 142 ~; 278 |; 87 &)
% ( 10 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-3 aty)
% Number of variables : 127 ( 7 sgn 73 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
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.fsvkuXVYEZ/E---3.1_23030.p',keep_not_released) ).
fof(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox2/tmp/tmp.fsvkuXVYEZ/E---3.1_23030.p',symmetry_of_plus) ).
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.fsvkuXVYEZ/E---3.1_23030.p',initiates_all_defn) ).
fof(plus1_2,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox2/tmp/tmp.fsvkuXVYEZ/E---3.1_23030.p',plus1_2) ).
fof(filling_3_l1,conjecture,
~ releasedAt(filling,n3),
file('/export/starexec/sandbox2/tmp/tmp.fsvkuXVYEZ/E---3.1_23030.p',filling_3_l1) ).
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.fsvkuXVYEZ/E---3.1_23030.p',happens_not_released) ).
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.fsvkuXVYEZ/E---3.1_23030.p',happens_all_defn) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/tmp/tmp.fsvkuXVYEZ/E---3.1_23030.p',plus0_1) ).
fof(plus1_1,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox2/tmp/tmp.fsvkuXVYEZ/E---3.1_23030.p',plus1_1) ).
fof(terminates_all_defn,axiom,
! [X4,X2,X5] :
( terminates(X4,X2,X5)
<=> ( ( X4 = tapOff
& X2 = filling )
| ( X4 = overflow
& X2 = filling ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fsvkuXVYEZ/E---3.1_23030.p',terminates_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.fsvkuXVYEZ/E---3.1_23030.p',happens_terminates_not_holds) ).
fof(less_or_equal,axiom,
! [X12,X13] :
( less_or_equal(X12,X13)
<=> ( less(X12,X13)
| X12 = X13 ) ),
file('/export/starexec/sandbox2/tmp/tmp.fsvkuXVYEZ/E---3.1_23030.p',less_or_equal) ).
fof(less2,axiom,
! [X12] :
( less(X12,n2)
<=> less_or_equal(X12,n1) ),
file('/export/starexec/sandbox2/tmp/tmp.fsvkuXVYEZ/E---3.1_23030.p',less2) ).
fof(less_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
file('/export/starexec/sandbox2/tmp/tmp.fsvkuXVYEZ/E---3.1_23030.p',less_property) ).
fof(less1,axiom,
! [X12] :
( less(X12,n1)
<=> less_or_equal(X12,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.fsvkuXVYEZ/E---3.1_23030.p',less1) ).
fof(less0,axiom,
~ ? [X12] : less(X12,n0),
file('/export/starexec/sandbox2/tmp/tmp.fsvkuXVYEZ/E---3.1_23030.p',less0) ).
fof(c_0_16,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_17,plain,
! [X23,X24] :
( ( happens(esk4_2(X23,X24),X24)
| releasedAt(X23,X24)
| ~ releasedAt(X23,plus(X24,n1)) )
& ( releases(esk4_2(X23,X24),X23,X24)
| releasedAt(X23,X24)
| ~ releasedAt(X23,plus(X24,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_16])])])])]) ).
fof(c_0_18,plain,
! [X57,X58] : plus(X57,X58) = plus(X58,X57),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
fof(c_0_19,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) ).
cnf(c_0_20,plain,
( happens(esk4_2(X1,X2),X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_22,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_19]) ).
fof(c_0_23,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_19])])])])])])]) ).
cnf(c_0_24,plain,
( releasedAt(X1,X2)
| happens(esk4_2(X1,X2),X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[plus1_2]) ).
fof(c_0_26,negated_conjecture,
releasedAt(filling,n3),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[filling_3_l1])]) ).
fof(c_0_27,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_28,plain,
! [X37,X38,X39] :
( ( ~ initiates(X37,X38,X39)
| epred1_3(X38,X37,X39) )
& ( ~ epred1_3(X38,X37,X39)
| initiates(X37,X38,X39) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
cnf(c_0_29,plain,
( epred1_3(X2,X1,X3)
| X1 != tapOn
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_30,plain,
! [X33,X34] :
( ( holdsAt(waterLevel(n3),X34)
| X33 = tapOn
| ~ happens(X33,X34) )
& ( holdsAt(filling,X34)
| X33 = tapOn
| ~ happens(X33,X34) )
& ( X33 = overflow
| X33 = tapOn
| ~ happens(X33,X34) )
& ( holdsAt(waterLevel(n3),X34)
| X34 = n0
| ~ happens(X33,X34) )
& ( holdsAt(filling,X34)
| X34 = n0
| ~ happens(X33,X34) )
& ( X33 = overflow
| X34 = n0
| ~ happens(X33,X34) )
& ( X33 != tapOn
| X34 != n0
| happens(X33,X34) )
& ( ~ holdsAt(waterLevel(n3),X34)
| ~ holdsAt(filling,X34)
| X33 != overflow
| happens(X33,X34) ) ),
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_31,plain,
( releasedAt(X1,n2)
| happens(esk4_2(X1,n2),n2)
| ~ releasedAt(X1,n3) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,negated_conjecture,
releasedAt(filling,n3),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_33,plain,
! [X29,X30,X31] :
( ( ~ initiates(X29,X31,X30)
| ~ happens(X29,X30)
| ~ releasedAt(X31,plus(X30,n1)) )
& ( ~ terminates(X29,X31,X30)
| ~ happens(X29,X30)
| ~ releasedAt(X31,plus(X30,n1)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
cnf(c_0_34,plain,
( initiates(X2,X1,X3)
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
epred1_3(filling,tapOn,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_29])]) ).
cnf(c_0_36,plain,
( X1 = overflow
| X2 = n0
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,negated_conjecture,
( releasedAt(filling,n2)
| happens(esk4_2(filling,n2),n2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
( ~ initiates(X1,X2,X3)
| ~ happens(X1,X3)
| ~ releasedAt(X2,plus(X3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,plain,
initiates(tapOn,filling,X1),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,plain,
( happens(X1,X2)
| X1 != tapOn
| X2 != n0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
cnf(c_0_42,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[plus1_1]) ).
cnf(c_0_43,negated_conjecture,
( esk4_2(filling,n2) = overflow
| n2 = n0
| releasedAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,plain,
( ~ releasedAt(filling,plus(X1,n1))
| ~ happens(tapOn,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
happens(tapOn,n0),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_40])]) ).
cnf(c_0_46,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_41,c_0_21]) ).
cnf(c_0_47,plain,
( holdsAt(filling,X1)
| X1 = n0
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_48,plain,
! [X40,X41,X42] :
( ( X40 = overflow
| X40 = tapOff
| ~ terminates(X40,X41,X42) )
& ( X41 = filling
| X40 = tapOff
| ~ terminates(X40,X41,X42) )
& ( X40 = overflow
| X41 = filling
| ~ terminates(X40,X41,X42) )
& ( X41 = filling
| X41 = filling
| ~ terminates(X40,X41,X42) )
& ( X40 != tapOff
| X41 != filling
| terminates(X40,X41,X42) )
& ( X40 != overflow
| X41 != filling
| terminates(X40,X41,X42) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[terminates_all_defn])])])]) ).
cnf(c_0_49,plain,
( releasedAt(X1,n1)
| happens(esk4_2(X1,n1),n1)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_20,c_0_42]) ).
cnf(c_0_50,negated_conjecture,
( n2 = n0
| releasedAt(filling,n2)
| happens(overflow,n2) ),
inference(spm,[status(thm)],[c_0_37,c_0_43]) ).
cnf(c_0_51,plain,
~ releasedAt(filling,n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_21]),c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( n2 = n0
| releasedAt(filling,n2)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_47,c_0_37]) ).
fof(c_0_53,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]) ).
cnf(c_0_54,plain,
( terminates(X1,X2,X3)
| X1 != overflow
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,negated_conjecture,
( n2 = n0
| happens(esk4_2(filling,n1),n1)
| happens(overflow,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( n2 = n0
| holdsAt(filling,n2)
| happens(esk4_2(filling,n1),n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_52]),c_0_51]) ).
fof(c_0_57,plain,
! [X101,X102] :
( ( ~ less_or_equal(X101,X102)
| less(X101,X102)
| X101 = X102 )
& ( ~ less(X101,X102)
| less_or_equal(X101,X102) )
& ( X101 != X102
| less_or_equal(X101,X102) ) ),
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_58,plain,
! [X51,X52,X53] :
( ~ happens(X51,X52)
| ~ terminates(X51,X53,X52)
| ~ holdsAt(X53,plus(X52,n1)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
cnf(c_0_59,plain,
( ~ terminates(X1,X2,X3)
| ~ happens(X1,X3)
| ~ releasedAt(X2,plus(X3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_60,plain,
terminates(overflow,filling,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_54])]) ).
cnf(c_0_61,negated_conjecture,
( esk4_2(filling,n1) = overflow
| n2 = n0
| n0 = n1
| happens(overflow,n2) ),
inference(spm,[status(thm)],[c_0_36,c_0_55]) ).
cnf(c_0_62,negated_conjecture,
( esk4_2(filling,n1) = overflow
| n2 = n0
| n0 = n1
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_36,c_0_56]) ).
fof(c_0_63,plain,
! [X60] :
( ( ~ less(X60,n2)
| less_or_equal(X60,n1) )
& ( ~ less_or_equal(X60,n1)
| less(X60,n2) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less2])])]) ).
cnf(c_0_64,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_65,plain,
( ~ happens(X1,X2)
| ~ terminates(X1,X3,X2)
| ~ holdsAt(X3,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_66,plain,
( ~ releasedAt(filling,plus(X1,n1))
| ~ happens(overflow,X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( n0 = n1
| n2 = n0
| happens(overflow,n2)
| happens(overflow,n1) ),
inference(spm,[status(thm)],[c_0_55,c_0_61]) ).
cnf(c_0_68,negated_conjecture,
( n0 = n1
| n2 = n0
| holdsAt(filling,n2)
| happens(overflow,n1) ),
inference(spm,[status(thm)],[c_0_56,c_0_62]) ).
fof(c_0_69,plain,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
inference(fof_simplification,[status(thm)],[less_property]) ).
fof(c_0_70,plain,
! [X59] :
( ( ~ less(X59,n1)
| less_or_equal(X59,n0) )
& ( ~ less_or_equal(X59,n0)
| less(X59,n1) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])])]) ).
cnf(c_0_71,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_72,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_64]) ).
cnf(c_0_73,plain,
( ~ holdsAt(filling,plus(X1,n1))
| ~ happens(overflow,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_60]) ).
cnf(c_0_74,negated_conjecture,
( n2 = n0
| n0 = n1
| happens(overflow,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_21]),c_0_25]),c_0_32])]) ).
cnf(c_0_75,negated_conjecture,
( n2 = n0
| n0 = n1
| holdsAt(filling,n2) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_68]),c_0_42]),c_0_52]) ).
fof(c_0_76,plain,
! [X94] : ~ less(X94,n0),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])])]) ).
fof(c_0_77,plain,
! [X104,X105] :
( ( ~ less(X105,X104)
| ~ less(X104,X105) )
& ( X105 != X104
| ~ less(X104,X105) )
& ( less(X105,X104)
| X105 = X104
| less(X104,X105) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])]) ).
cnf(c_0_78,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_79,plain,
less(n1,n2),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_80,negated_conjecture,
( n0 = n1
| n2 = n0 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_42]),c_0_75]) ).
cnf(c_0_81,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_82,plain,
( X1 != X2
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_83,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_78,c_0_72]) ).
cnf(c_0_84,negated_conjecture,
n0 = n1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_85,plain,
~ less(X1,X1),
inference(er,[status(thm)],[c_0_82]) ).
cnf(c_0_86,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84]),c_0_85]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 14:31:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.fsvkuXVYEZ/E---3.1_23030.p
% 0.21/0.56 # Version: 3.1.0
% 0.21/0.56 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.56 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.56 # Starting sh5l with 300s (1) cores
% 0.21/0.56 # sh5l with pid 23115 completed with status 0
% 0.21/0.56 # Result found by sh5l
% 0.21/0.56 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.56 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.56 # Starting sh5l with 300s (1) cores
% 0.21/0.56 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.56 # Search class: FGHSF-FSLM32-SFFFFFNN
% 0.21/0.56 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.56 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 163s (1) cores
% 0.21/0.56 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with pid 23123 completed with status 0
% 0.21/0.56 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 0.21/0.56 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.56 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.56 # Starting sh5l with 300s (1) cores
% 0.21/0.56 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.56 # Search class: FGHSF-FSLM32-SFFFFFNN
% 0.21/0.56 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.56 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 163s (1) cores
% 0.21/0.56 # Preprocessing time : 0.003 s
% 0.21/0.56 # Presaturation interreduction done
% 0.21/0.56
% 0.21/0.56 # Proof found!
% 0.21/0.56 # SZS status Theorem
% 0.21/0.56 # SZS output start CNFRefutation
% See solution above
% 0.21/0.56 # Parsed axioms : 55
% 0.21/0.56 # Removed by relevancy pruning/SinE : 0
% 0.21/0.56 # Initial clauses : 137
% 0.21/0.56 # Removed in clause preprocessing : 1
% 0.21/0.56 # Initial clauses in saturation : 136
% 0.21/0.56 # Processed clauses : 718
% 0.21/0.56 # ...of these trivial : 9
% 0.21/0.56 # ...subsumed : 161
% 0.21/0.56 # ...remaining for further processing : 548
% 0.21/0.56 # Other redundant clauses eliminated : 20
% 0.21/0.56 # Clauses deleted for lack of memory : 0
% 0.21/0.56 # Backward-subsumed : 50
% 0.21/0.56 # Backward-rewritten : 76
% 0.21/0.56 # Generated clauses : 1112
% 0.21/0.56 # ...of the previous two non-redundant : 718
% 0.21/0.56 # ...aggressively subsumed : 0
% 0.21/0.56 # Contextual simplify-reflections : 4
% 0.21/0.56 # Paramodulations : 1093
% 0.21/0.56 # Factorizations : 5
% 0.21/0.56 # NegExts : 0
% 0.21/0.56 # Equation resolutions : 22
% 0.21/0.56 # Disequality decompositions : 0
% 0.21/0.56 # Total rewrite steps : 625
% 0.21/0.56 # ...of those cached : 496
% 0.21/0.56 # Propositional unsat checks : 0
% 0.21/0.56 # Propositional check models : 0
% 0.21/0.56 # Propositional check unsatisfiable : 0
% 0.21/0.56 # Propositional clauses : 0
% 0.21/0.56 # Propositional clauses after purity: 0
% 0.21/0.56 # Propositional unsat core size : 0
% 0.21/0.56 # Propositional preprocessing time : 0.000
% 0.21/0.56 # Propositional encoding time : 0.000
% 0.21/0.56 # Propositional solver time : 0.000
% 0.21/0.56 # Success case prop preproc time : 0.000
% 0.21/0.56 # Success case prop encoding time : 0.000
% 0.21/0.56 # Success case prop solver time : 0.000
% 0.21/0.56 # Current number of processed clauses : 294
% 0.21/0.56 # Positive orientable unit clauses : 91
% 0.21/0.56 # Positive unorientable unit clauses: 1
% 0.21/0.56 # Negative unit clauses : 44
% 0.21/0.56 # Non-unit-clauses : 158
% 0.21/0.56 # Current number of unprocessed clauses: 180
% 0.21/0.56 # ...number of literals in the above : 686
% 0.21/0.56 # Current number of archived formulas : 0
% 0.21/0.56 # Current number of archived clauses : 242
% 0.21/0.56 # Clause-clause subsumption calls (NU) : 4273
% 0.21/0.56 # Rec. Clause-clause subsumption calls : 2005
% 0.21/0.56 # Non-unit clause-clause subsumptions : 140
% 0.21/0.56 # Unit Clause-clause subsumption calls : 1342
% 0.21/0.56 # Rewrite failures with RHS unbound : 0
% 0.21/0.57 # BW rewrite match attempts : 63
% 0.21/0.57 # BW rewrite match successes : 63
% 0.21/0.57 # Condensation attempts : 0
% 0.21/0.57 # Condensation successes : 0
% 0.21/0.57 # Termbank termtop insertions : 19372
% 0.21/0.57 # Search garbage collected termcells : 1495
% 0.21/0.57
% 0.21/0.57 # -------------------------------------------------
% 0.21/0.57 # User time : 0.046 s
% 0.21/0.57 # System time : 0.005 s
% 0.21/0.57 # Total time : 0.052 s
% 0.21/0.57 # Maximum resident set size: 2176 pages
% 0.21/0.57
% 0.21/0.57 # -------------------------------------------------
% 0.21/0.57 # User time : 0.049 s
% 0.21/0.57 # System time : 0.008 s
% 0.21/0.57 # Total time : 0.056 s
% 0.21/0.57 # Maximum resident set size: 1748 pages
% 0.21/0.57 % E---3.1 exiting
% 0.21/0.57 % E exiting
%------------------------------------------------------------------------------