%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : CSR012+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 03:01:23 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 61 ( 27 unt; 0 def)
% Number of atoms : 380 ( 179 equ)
% Maximal formula atoms : 194 ( 6 avg)
% Number of connectives : 430 ( 111 ~; 233 |; 77 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 128 ( 19 sgn 72 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(less_or_equal,axiom,
! [X12,X13] :
( less_or_equal(X12,X13)
<=> ( less(X12,X13)
| X12 = X13 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',less_or_equal) ).
fof(less1,axiom,
! [X12] :
( less(X12,n1)
<=> less_or_equal(X12,n0) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',less1) ).
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/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
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/sandbox2/benchmark/Axioms/CSR001+0.ax',change_holding) ).
fof(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.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/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',plus0_1) ).
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/sandbox2/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).
fof(waterLevel_1,conjecture,
holdsAt(waterLevel(n1),n1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',waterLevel_1) ).
fof(waterLevel_0,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',waterLevel_0) ).
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/sandbox2/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
fof(less0,axiom,
~ ? [X12] : less(X12,n0),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',less0) ).
fof(c_0_12,plain,
! [X14,X15,X14,X15] :
( ( ~ less_or_equal(X14,X15)
| less(X14,X15)
| X14 = X15 )
& ( ~ less(X14,X15)
| less_or_equal(X14,X15) )
& ( X14 != X15
| less_or_equal(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_or_equal])])])])]) ).
fof(c_0_13,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_14,plain,
! [X13,X13] :
( ( ~ less(X13,n1)
| less_or_equal(X13,n0) )
& ( ~ less_or_equal(X13,n0)
| less(X13,n1) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])])])]) ).
cnf(c_0_15,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,plain,
! [X6,X7,X6,X7] :
( ( holdsAt(waterLevel(n3),X7)
| X6 = tapOn
| ~ happens(X6,X7) )
& ( holdsAt(filling,X7)
| X6 = tapOn
| ~ happens(X6,X7) )
& ( X6 = overflow
| X6 = tapOn
| ~ happens(X6,X7) )
& ( holdsAt(waterLevel(n3),X7)
| X7 = n0
| ~ happens(X6,X7) )
& ( holdsAt(filling,X7)
| X7 = n0
| ~ happens(X6,X7) )
& ( X6 = overflow
| X7 = n0
| ~ happens(X6,X7) )
& ( X6 != tapOn
| X7 != n0
| happens(X6,X7) )
& ( ~ holdsAt(waterLevel(n3),X7)
| ~ holdsAt(filling,X7)
| X6 != overflow
| happens(X6,X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])])])]) ).
fof(c_0_17,plain,
! [X10,X11,X12,X10,X11,X12,X15,X16] :
( ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X11 = tapOff
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X11 = tapOff
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X11 = tapOff
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X11 = tapOff
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X11 = tapOff
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X11 = tapOff
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X11 = tapOn
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X11 = tapOff
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X11 = tapOff
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X11 = tapOff
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X11 = overflow
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X11 = tapOff
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X11 = tapOff
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X11 = tapOff
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 = overflow
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X12 = waterLevel(esk11_3(X10,X11,X12))
| X12 = waterLevel(esk10_3(X10,X11,X12))
| X12 = spilling
| X12 = filling
| ~ epred1_3(X12,X11,X10) )
& ( X11 != tapOn
| X12 != filling
| epred1_3(X12,X11,X10) )
& ( X11 != overflow
| X12 != spilling
| epred1_3(X12,X11,X10) )
& ( ~ holdsAt(waterLevel(X15),X10)
| X11 != tapOff
| X12 != waterLevel(X15)
| epred1_3(X12,X11,X10) )
& ( ~ holdsAt(waterLevel(X16),X10)
| X11 != overflow
| X12 != waterLevel(X16)
| epred1_3(X12,X11,X10) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])])])]) ).
fof(c_0_18,plain,
! [X8,X9,X10,X11,X12] :
( ~ happens(X8,X9)
| ~ initiates(X8,X10,X9)
| ~ less(n0,X12)
| ~ trajectory(X10,X9,X11,X12)
| stoppedIn(X9,X10,plus(X9,X12))
| holdsAt(X11,plus(X9,X12)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[change_holding])])]) ).
cnf(c_0_19,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( happens(X1,X2)
| X2 != n0
| X1 != tapOn ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_22,plain,
! [X14,X15] : plus(X14,X15) = plus(X15,X14),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
fof(c_0_23,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_13]) ).
cnf(c_0_24,plain,
( epred1_3(X1,X2,X3)
| X1 != filling
| X2 != tapOn ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( holdsAt(X1,plus(X2,X3))
| stoppedIn(X2,X4,plus(X2,X3))
| ~ trajectory(X4,X2,X1,X3)
| ~ less(n0,X3)
| ~ initiates(X5,X4,X2)
| ~ happens(X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
( happens(X1,n0)
| X1 != tapOn ),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
cnf(c_0_29,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_30,plain,
! [X6,X7,X8,X6,X7,X8] :
( ( ~ initiates(X6,X7,X8)
| epred1_3(X7,X6,X8) )
& ( ~ epred1_3(X7,X6,X8)
| initiates(X6,X7,X8) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
cnf(c_0_31,plain,
( epred1_3(X1,tapOn,X2)
| X1 != filling ),
inference(er,[status(thm)],[c_0_24]) ).
fof(c_0_32,plain,
! [X12,X13,X14,X15] :
( ~ holdsAt(waterLevel(X12),X13)
| X14 != plus(X12,X15)
| trajectory(filling,X13,waterLevel(X14),X15) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])]) ).
cnf(c_0_33,plain,
( holdsAt(X1,plus(X2,n1))
| stoppedIn(X2,X3,plus(X2,n1))
| ~ trajectory(X3,X2,X1,n1)
| ~ initiates(X4,X3,X2)
| ~ happens(X4,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,plain,
happens(tapOn,n0),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,plain,
( initiates(X1,X2,X3)
| ~ epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
epred1_3(filling,tapOn,X1),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
( trajectory(filling,X1,waterLevel(X2),X3)
| X2 != plus(X4,X3)
| ~ holdsAt(waterLevel(X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_39,negated_conjecture,
~ holdsAt(waterLevel(n1),n1),
inference(assume_negation,[status(cth)],[waterLevel_1]) ).
cnf(c_0_40,plain,
( holdsAt(X1,n1)
| stoppedIn(n0,X2,n1)
| ~ trajectory(X2,n0,X1,n1)
| ~ initiates(tapOn,X2,n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_29]),c_0_35]),c_0_29]),c_0_35]) ).
cnf(c_0_41,plain,
initiates(tapOn,filling,X1),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
( trajectory(filling,X1,waterLevel(plus(X2,X3)),X3)
| ~ holdsAt(waterLevel(X2),X1) ),
inference(er,[status(thm)],[c_0_38]) ).
cnf(c_0_43,hypothesis,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[waterLevel_0]) ).
fof(c_0_44,negated_conjecture,
~ holdsAt(waterLevel(n1),n1),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_45,plain,
! [X6,X7,X8,X6,X7,X8,X11,X12] :
( ( happens(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| ~ stoppedIn(X6,X7,X8) )
& ( less(X6,esk2_3(X6,X7,X8))
| ~ stoppedIn(X6,X7,X8) )
& ( less(esk2_3(X6,X7,X8),X8)
| ~ stoppedIn(X6,X7,X8) )
& ( terminates(esk1_3(X6,X7,X8),X7,esk2_3(X6,X7,X8))
| ~ stoppedIn(X6,X7,X8) )
& ( ~ happens(X11,X12)
| ~ less(X6,X12)
| ~ less(X12,X8)
| ~ terminates(X11,X7,X12)
| stoppedIn(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[stoppedin_defn])])])])])])]) ).
cnf(c_0_46,plain,
( holdsAt(X1,n1)
| stoppedIn(n0,filling,n1)
| ~ trajectory(filling,n0,X1,n1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,hypothesis,
trajectory(filling,n0,waterLevel(plus(n0,X1)),X1),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
~ holdsAt(waterLevel(n1),n1),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,plain,
( less(esk2_3(X1,X2,X3),X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,hypothesis,
stoppedIn(n0,filling,n1),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_29]),c_0_35]),c_0_48]) ).
cnf(c_0_51,plain,
( less_or_equal(X1,n0)
| ~ less(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_52,hypothesis,
less(esk2_3(n0,filling,n1),n1),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_53,plain,
! [X13] : ~ less(X13,n0),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])]) ).
cnf(c_0_54,plain,
( less(X1,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_55,plain,
( X1 = X2
| less(X1,X2)
| ~ less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_56,hypothesis,
less_or_equal(esk2_3(n0,filling,n1),n0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_58,hypothesis,
less(n0,esk2_3(n0,filling,n1)),
inference(spm,[status(thm)],[c_0_54,c_0_50]) ).
cnf(c_0_59,hypothesis,
esk2_3(n0,filling,n1) = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_60,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59]),c_0_57]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR012+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 10 12:14:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.23/1.41 # Preprocessing time : 0.014 s
% 0.23/1.41
% 0.23/1.41 # Failure: Out of unprocessed clauses!
% 0.23/1.41 # OLD status GaveUp
% 0.23/1.41 # Parsed axioms : 55
% 0.23/1.41 # Removed by relevancy pruning/SinE : 47
% 0.23/1.41 # Initial clauses : 9
% 0.23/1.41 # Removed in clause preprocessing : 1
% 0.23/1.41 # Initial clauses in saturation : 8
% 0.23/1.41 # Processed clauses : 9
% 0.23/1.41 # ...of these trivial : 0
% 0.23/1.41 # ...subsumed : 0
% 0.23/1.41 # ...remaining for further processing : 9
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 0
% 0.23/1.41 # Backward-rewritten : 0
% 0.23/1.41 # Generated clauses : 4
% 0.23/1.41 # ...of the previous two non-trivial : 1
% 0.23/1.41 # Contextual simplify-reflections : 0
% 0.23/1.41 # Paramodulations : 3
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 1
% 0.23/1.41 # Current number of processed clauses : 9
% 0.23/1.41 # Positive orientable unit clauses : 3
% 0.23/1.41 # Positive unorientable unit clauses: 1
% 0.23/1.41 # Negative unit clauses : 2
% 0.23/1.41 # Non-unit-clauses : 3
% 0.23/1.41 # Current number of unprocessed clauses: 0
% 0.23/1.41 # ...number of literals in the above : 0
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 0
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 4
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 4
% 0.23/1.41 # Non-unit clause-clause subsumptions : 0
% 0.23/1.41 # Unit Clause-clause subsumption calls : 0
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 4
% 0.23/1.41 # BW rewrite match successes : 4
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 860
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.012 s
% 0.23/1.41 # System time : 0.002 s
% 0.23/1.41 # Total time : 0.015 s
% 0.23/1.41 # Maximum resident set size: 2748 pages
% 0.23/1.41 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.23/1.41 # Preprocessing time : 0.014 s
% 0.23/1.41
% 0.23/1.41 # Failure: Out of unprocessed clauses!
% 0.23/1.41 # OLD status GaveUp
% 0.23/1.41 # Parsed axioms : 55
% 0.23/1.41 # Removed by relevancy pruning/SinE : 40
% 0.23/1.41 # Initial clauses : 16
% 0.23/1.41 # Removed in clause preprocessing : 1
% 0.23/1.41 # Initial clauses in saturation : 15
% 0.23/1.41 # Processed clauses : 16
% 0.23/1.41 # ...of these trivial : 0
% 0.23/1.41 # ...subsumed : 0
% 0.23/1.41 # ...remaining for further processing : 16
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 0
% 0.23/1.41 # Backward-rewritten : 0
% 0.23/1.41 # Generated clauses : 2
% 0.23/1.41 # ...of the previous two non-trivial : 1
% 0.23/1.41 # Contextual simplify-reflections : 0
% 0.23/1.41 # Paramodulations : 1
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 1
% 0.23/1.41 # Current number of processed clauses : 16
% 0.23/1.41 # Positive orientable unit clauses : 3
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 10
% 0.23/1.41 # Non-unit-clauses : 3
% 0.23/1.41 # Current number of unprocessed clauses: 0
% 0.23/1.41 # ...number of literals in the above : 0
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 0
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 2
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 2
% 0.23/1.41 # Non-unit clause-clause subsumptions : 0
% 0.23/1.41 # Unit Clause-clause subsumption calls : 0
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 0
% 0.23/1.41 # BW rewrite match successes : 0
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 956
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.014 s
% 0.23/1.41 # System time : 0.001 s
% 0.23/1.41 # Total time : 0.015 s
% 0.23/1.41 # Maximum resident set size: 2760 pages
% 0.23/1.41 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.23/1.41 # Preprocessing time : 0.014 s
% 0.23/1.41
% 0.23/1.41 # Failure: Out of unprocessed clauses!
% 0.23/1.41 # OLD status GaveUp
% 0.23/1.41 # Parsed axioms : 55
% 0.23/1.41 # Removed by relevancy pruning/SinE : 38
% 0.23/1.41 # Initial clauses : 20
% 0.23/1.41 # Removed in clause preprocessing : 1
% 0.23/1.41 # Initial clauses in saturation : 19
% 0.23/1.41 # Processed clauses : 24
% 0.23/1.41 # ...of these trivial : 0
% 0.23/1.41 # ...subsumed : 2
% 0.23/1.41 # ...remaining for further processing : 22
% 0.23/1.41 # Other redundant clauses eliminated : 1
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 0
% 0.23/1.41 # Backward-rewritten : 0
% 0.23/1.41 # Generated clauses : 12
% 0.23/1.41 # ...of the previous two non-trivial : 5
% 0.23/1.41 # Contextual simplify-reflections : 0
% 0.23/1.41 # Paramodulations : 8
% 0.23/1.41 # Factorizations : 2
% 0.23/1.41 # Equation resolutions : 2
% 0.23/1.41 # Current number of processed clauses : 21
% 0.23/1.41 # Positive orientable unit clauses : 3
% 0.23/1.41 # Positive unorientable unit clauses: 1
% 0.23/1.41 # Negative unit clauses : 11
% 0.23/1.41 # Non-unit-clauses : 6
% 0.23/1.41 # Current number of unprocessed clauses: 0
% 0.23/1.41 # ...number of literals in the above : 0
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 0
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 4
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 4
% 0.23/1.41 # Non-unit clause-clause subsumptions : 1
% 0.23/1.41 # Unit Clause-clause subsumption calls : 3
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 4
% 0.23/1.41 # BW rewrite match successes : 4
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 1137
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.015 s
% 0.23/1.41 # System time : 0.000 s
% 0.23/1.41 # Total time : 0.015 s
% 0.23/1.41 # Maximum resident set size: 2796 pages
% 0.23/1.41 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.23/1.41 # Preprocessing time : 0.020 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 61
% 0.23/1.41 # Proof object clause steps : 35
% 0.23/1.41 # Proof object formula steps : 26
% 0.23/1.41 # Proof object conjectures : 4
% 0.23/1.41 # Proof object clause conjectures : 1
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 16
% 0.23/1.41 # Proof object initial formulas used : 12
% 0.23/1.41 # Proof object generating inferences : 16
% 0.23/1.41 # Proof object simplifying inferences : 12
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 55
% 0.23/1.41 # Removed by relevancy pruning/SinE : 0
% 0.23/1.41 # Initial clauses : 137
% 0.23/1.41 # Removed in clause preprocessing : 1
% 0.23/1.41 # Initial clauses in saturation : 136
% 0.23/1.41 # Processed clauses : 12722
% 0.23/1.41 # ...of these trivial : 19
% 0.23/1.41 # ...subsumed : 8721
% 0.23/1.41 # ...remaining for further processing : 3982
% 0.23/1.41 # Other redundant clauses eliminated : 2
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 54
% 0.23/1.41 # Backward-rewritten : 14
% 0.23/1.41 # Generated clauses : 66663
% 0.23/1.41 # ...of the previous two non-trivial : 45936
% 0.23/1.41 # Contextual simplify-reflections : 0
% 0.23/1.41 # Paramodulations : 66599
% 0.23/1.41 # Factorizations : 5
% 0.23/1.41 # Equation resolutions : 59
% 0.23/1.41 # Current number of processed clauses : 3912
% 0.23/1.41 # Positive orientable unit clauses : 128
% 0.23/1.41 # Positive unorientable unit clauses: 1
% 0.23/1.41 # Negative unit clauses : 53
% 0.23/1.41 # Non-unit-clauses : 3730
% 0.23/1.41 # Current number of unprocessed clauses: 32595
% 0.23/1.41 # ...number of literals in the above : 155483
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 68
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 689460
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 404976
% 0.23/1.41 # Non-unit clause-clause subsumptions : 8508
% 0.23/1.41 # Unit Clause-clause subsumption calls : 6087
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 81
% 0.23/1.41 # BW rewrite match successes : 27
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 1356145
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.914 s
% 0.23/1.41 # System time : 0.018 s
% 0.23/1.41 # Total time : 0.932 s
% 0.23/1.41 # Maximum resident set size: 34564 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------