TSTP Solution File: CSR004+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : CSR004+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 : 600s
% DateTime : Fri Jul 15 02:46:30 EDT 2022
% Result : Theorem 25.97s 4.69s
% Output : CNFRefutation 25.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 33
% Syntax : Number of formulae : 235 ( 56 unt; 0 def)
% Number of atoms : 882 ( 325 equ)
% Maximal formula atoms : 194 ( 3 avg)
% Number of connectives : 897 ( 250 ~; 515 |; 111 &)
% ( 13 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 9 con; 0-3 aty)
% Number of variables : 295 ( 15 sgn 133 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(initiates_all_defn,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> ( ( X4 = tapOn
& X2 = filling )
| ( X4 = overflow
& X2 = spilling )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = tapOff
& X2 = waterLevel(X9) )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = overflow
& X2 = waterLevel(X9) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).
fof(less_or_equal,axiom,
! [X12,X13] :
( less_or_equal(X12,X13)
<=> ( less(X12,X13)
| X12 = X13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
fof(happens_holds,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& initiates(X4,X2,X5) )
=> holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_holds) ).
fof(happens_all_defn,axiom,
! [X4,X5] :
( happens(X4,X5)
<=> ( ( X4 = tapOn
& X5 = n0 )
| ( holdsAt(waterLevel(n3),X5)
& holdsAt(filling,X5)
& X4 = overflow ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
fof(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(change_of_waterLevel,axiom,
! [X10,X5,X11,X7] :
( ( holdsAt(waterLevel(X10),X5)
& X11 = plus(X10,X7) )
=> trajectory(filling,X5,waterLevel(X11),X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).
fof(less1,axiom,
! [X12] :
( less(X12,n1)
<=> less_or_equal(X12,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.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/benchmark/Axioms/CSR001+0.ax',keep_holding) ).
fof(waterLevel_0,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).
fof(less2,axiom,
! [X12] :
( less(X12,n2)
<=> less_or_equal(X12,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
fof(plus1_1,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/Axioms/CSR001+1.ax',terminates_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/sandbox/benchmark/Axioms/CSR001+0.ax',change_holding) ).
fof(plus0_2,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_2) ).
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/benchmark/Axioms/CSR001+0.ax',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/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).
fof(tapOff_not_overflow,axiom,
tapOff != overflow,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',tapOff_not_overflow) ).
fof(tapOff_not_tapOn,axiom,
tapOff != tapOn,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',tapOff_not_tapOn) ).
fof(stoppedin_defn,axiom,
! [X1,X2,X3] :
( stoppedIn(X1,X2,X3)
<=> ? [X4,X5] :
( happens(X4,X5)
& less(X1,X5)
& less(X5,X3)
& terminates(X4,X2,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
fof(overflow_not_tapOn,axiom,
overflow != tapOn,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',overflow_not_tapOn) ).
fof(less3,axiom,
! [X12] :
( less(X12,n3)
<=> less_or_equal(X12,n2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
fof(plus0_3,axiom,
plus(n0,n3) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_3) ).
fof(startedin_defn,axiom,
! [X1,X3,X2] :
( startedIn(X1,X2,X3)
<=> ? [X4,X5] :
( happens(X4,X5)
& less(X1,X5)
& less(X5,X3)
& initiates(X4,X2,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',startedin_defn) ).
fof(less0,axiom,
~ ? [X12] : less(X12,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
fof(same_waterLevel,axiom,
! [X5,X10,X11] :
( ( holdsAt(waterLevel(X10),X5)
& holdsAt(waterLevel(X11),X5) )
=> X10 = X11 ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',same_waterLevel) ).
fof(less_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(happens_terminates_not_holds,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& terminates(X4,X2,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).
fof(plus1_2,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).
fof(releases_all_defn,axiom,
! [X4,X2,X5] :
( releases(X4,X2,X5)
<=> ? [X9] :
( X4 = tapOn
& X2 = waterLevel(X9) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',releases_all_defn) ).
fof(filling_not_waterLevel,axiom,
! [X12] : filling != waterLevel(X12),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).
fof(overflow_3,conjecture,
happens(overflow,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',overflow_3) ).
fof(c_0_32,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_33,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_32]) ).
fof(c_0_34,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(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_32])])])])])]) ).
fof(c_0_35,plain,
! [X68,X69,X70] :
( ( ~ initiates(X68,X69,X70)
| epred1_3(X69,X68,X70) )
& ( ~ epred1_3(X69,X68,X70)
| initiates(X68,X69,X70) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
cnf(c_0_36,plain,
( epred1_3(X2,X1,X3)
| X1 != tapOn
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_37,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_or_equal])])]) ).
fof(c_0_38,plain,
! [X56,X57,X58] :
( ~ happens(X56,X57)
| ~ initiates(X56,X58,X57)
| holdsAt(X58,plus(X57,n1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_holds])]) ).
cnf(c_0_39,plain,
( initiates(X2,X1,X3)
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,plain,
epred1_3(filling,tapOn,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_36])]) ).
fof(c_0_41,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])]) ).
fof(c_0_42,plain,
! [X95,X96] : plus(X95,X96) = plus(X96,X95),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
fof(c_0_43,plain,
! [X84,X85,X86,X87] :
( ~ holdsAt(waterLevel(X84),X85)
| X86 != plus(X84,X87)
| trajectory(filling,X85,waterLevel(X86),X87) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])]) ).
fof(c_0_44,plain,
! [X100] :
( ( ~ less(X100,n1)
| less_or_equal(X100,n0) )
& ( ~ less_or_equal(X100,n0)
| less(X100,n1) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])]) ).
cnf(c_0_45,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,plain,
( holdsAt(X3,plus(X2,n1))
| ~ happens(X1,X2)
| ~ initiates(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,plain,
initiates(tapOn,filling,X1),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_48,plain,
( happens(X1,X2)
| X1 != tapOn
| X2 != n0 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
cnf(c_0_50,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,plain,
( trajectory(filling,X2,waterLevel(X3),X4)
| ~ holdsAt(waterLevel(X1),X2)
| X3 != plus(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_53,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_45]) ).
fof(c_0_54,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(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[keep_holding])])])])]) ).
cnf(c_0_55,plain,
( holdsAt(filling,plus(X1,n1))
| ~ happens(tapOn,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,plain,
happens(tapOn,n0),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_48])]) ).
cnf(c_0_57,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_58,plain,
( trajectory(filling,X1,waterLevel(plus(X2,X3)),X3)
| ~ holdsAt(waterLevel(X2),X1) ),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_59,hypothesis,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[waterLevel_0]) ).
fof(c_0_60,plain,
! [X101] :
( ( ~ less(X101,n2)
| less_or_equal(X101,n1) )
& ( ~ less_or_equal(X101,n1)
| less(X101,n2) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less2])]) ).
cnf(c_0_61,plain,
( less_or_equal(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_62,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_63,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_54]) ).
cnf(c_0_64,plain,
holdsAt(filling,n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_50]),c_0_57]) ).
cnf(c_0_65,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[plus1_1]) ).
fof(c_0_66,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[terminates_all_defn])])]) ).
cnf(c_0_67,plain,
( terminates(esk5_2(X1,X2),X1,X2)
| releasedAt(X1,plus(X2,n1))
| holdsAt(X1,plus(X2,n1))
| ~ holdsAt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_68,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[change_holding])])]) ).
cnf(c_0_69,hypothesis,
trajectory(filling,n0,waterLevel(plus(n0,X1)),X1),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_70,plain,
plus(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[plus0_2]) ).
cnf(c_0_71,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_72,plain,
less_or_equal(n0,n1),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_73,plain,
( X1 = overflow
| X1 = tapOn
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_74,plain,
( releasedAt(filling,n2)
| holdsAt(filling,n2)
| happens(esk5_2(filling,n1),n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_65]) ).
cnf(c_0_75,plain,
( X1 = overflow
| X1 = tapOff
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_76,plain,
( releasedAt(filling,n2)
| holdsAt(filling,n2)
| terminates(esk5_2(filling,n1),filling,n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_64]),c_0_65]),c_0_65]) ).
fof(c_0_77,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[happens_not_released])])])]) ).
cnf(c_0_78,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_68]) ).
cnf(c_0_79,hypothesis,
trajectory(filling,n0,waterLevel(n2),n2),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_80,plain,
less(n0,n2),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
fof(c_0_81,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(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[keep_not_released])])])])]) ).
cnf(c_0_82,plain,
( holdsAt(waterLevel(n3),X1)
| X2 = tapOn
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_83,plain,
( esk5_2(filling,n1) = overflow
| esk5_2(filling,n1) = tapOn
| releasedAt(filling,n2)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_84,plain,
( esk5_2(filling,n1) = tapOff
| esk5_2(filling,n1) = overflow
| releasedAt(filling,n2)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_85,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[tapOff_not_overflow]) ).
cnf(c_0_86,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[tapOff_not_tapOn]) ).
cnf(c_0_87,plain,
( ~ initiates(X1,X2,X3)
| ~ happens(X1,X3)
| ~ releasedAt(X2,plus(X3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
fof(c_0_88,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(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])])])])])]) ).
cnf(c_0_89,hypothesis,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_70]),c_0_70]),c_0_80])]) ).
cnf(c_0_90,plain,
( happens(esk8_2(X1,X2),X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_91,plain,
( esk5_2(filling,n1) = tapOn
| releasedAt(filling,n2)
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_82,c_0_74]) ).
cnf(c_0_92,plain,
( esk5_2(filling,n1) = overflow
| releasedAt(filling,n2)
| holdsAt(filling,n2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_86]) ).
cnf(c_0_93,plain,
overflow != tapOn,
inference(split_conjunct,[status(thm)],[overflow_not_tapOn]) ).
cnf(c_0_94,plain,
( ~ releasedAt(filling,plus(X1,n1))
| ~ happens(tapOn,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_47]) ).
cnf(c_0_95,hypothesis,
( holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
| stoppedIn(n0,filling,plus(n0,X1))
| ~ initiates(X2,filling,n0)
| ~ less(n0,X1)
| ~ happens(X2,n0) ),
inference(spm,[status(thm)],[c_0_78,c_0_69]) ).
fof(c_0_96,plain,
! [X102] :
( ( ~ less(X102,n3)
| less_or_equal(X102,n2) )
& ( ~ less_or_equal(X102,n2)
| less(X102,n3) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less3])]) ).
cnf(c_0_97,plain,
( happens(esk1_3(X1,X2,X3),esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_98,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_47]),c_0_56])]) ).
cnf(c_0_99,plain,
( terminates(esk1_3(X1,X2,X3),X2,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_100,plain,
( releasedAt(X1,n1)
| happens(esk8_2(X1,n1),n1)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_90,c_0_65]) ).
cnf(c_0_101,plain,
( releasedAt(filling,n2)
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
cnf(c_0_102,plain,
~ releasedAt(filling,n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_56]),c_0_50]),c_0_57]) ).
cnf(c_0_103,plain,
( holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
| stoppedIn(n0,filling,plus(n0,X1))
| ~ less(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_47]),c_0_56])]) ).
cnf(c_0_104,plain,
plus(n0,n3) = n3,
inference(split_conjunct,[status(thm)],[plus0_3]) ).
cnf(c_0_105,plain,
( less(X1,n3)
| ~ less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_106,plain,
less_or_equal(n0,n2),
inference(spm,[status(thm)],[c_0_61,c_0_80]) ).
cnf(c_0_107,plain,
( epred1_3(X2,X1,X3)
| X1 != overflow
| X2 != spilling ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_108,plain,
( holdsAt(waterLevel(n2),n2)
| happens(esk1_3(n0,filling,n2),esk2_3(n0,filling,n2)) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_109,plain,
( holdsAt(waterLevel(n2),n2)
| terminates(esk1_3(n0,filling,n2),filling,esk2_3(n0,filling,n2)) ),
inference(spm,[status(thm)],[c_0_99,c_0_98]) ).
cnf(c_0_110,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2)
| happens(esk8_2(filling,n1),n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).
cnf(c_0_111,plain,
( less(esk2_3(X1,X2,X3),X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_112,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1) ),
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_103,c_0_62]),c_0_50]),c_0_57]),c_0_50]),c_0_57]),c_0_50]),c_0_57]) ).
cnf(c_0_113,hypothesis,
trajectory(filling,n0,waterLevel(n3),n3),
inference(spm,[status(thm)],[c_0_69,c_0_104]) ).
cnf(c_0_114,plain,
less(n0,n3),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
fof(c_0_115,plain,
! [X24,X25,X26,X29,X30,X31,X32,X33] :
( ( happens(esk3_3(X24,X25,X26),esk4_3(X24,X25,X26))
| ~ startedIn(X24,X26,X25) )
& ( less(X24,esk4_3(X24,X25,X26))
| ~ startedIn(X24,X26,X25) )
& ( less(esk4_3(X24,X25,X26),X25)
| ~ startedIn(X24,X26,X25) )
& ( initiates(esk3_3(X24,X25,X26),X26,esk4_3(X24,X25,X26))
| ~ startedIn(X24,X26,X25) )
& ( ~ happens(X32,X33)
| ~ less(X29,X33)
| ~ less(X33,X30)
| ~ initiates(X32,X31,X33)
| startedIn(X29,X31,X30) ) ),
inference(distribute,[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)],[startedin_defn])])])])])]) ).
cnf(c_0_116,plain,
epred1_3(spilling,overflow,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_107])]) ).
cnf(c_0_117,plain,
( esk1_3(n0,filling,n2) = overflow
| esk1_3(n0,filling,n2) = tapOn
| holdsAt(waterLevel(n2),n2) ),
inference(spm,[status(thm)],[c_0_73,c_0_108]) ).
cnf(c_0_118,plain,
( esk1_3(n0,filling,n2) = tapOff
| esk1_3(n0,filling,n2) = overflow
| holdsAt(waterLevel(n2),n2) ),
inference(spm,[status(thm)],[c_0_75,c_0_109]) ).
cnf(c_0_119,plain,
( esk8_2(filling,n1) = tapOn
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_82,c_0_110]) ).
cnf(c_0_120,plain,
( less_or_equal(X1,n0)
| ~ less(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_121,plain,
( holdsAt(waterLevel(n1),n1)
| less(esk2_3(n0,filling,n1),n1) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
fof(c_0_122,plain,
! [X99] : ~ less(X99,n0),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])]) ).
cnf(c_0_123,hypothesis,
( holdsAt(waterLevel(n3),n3)
| stoppedIn(n0,filling,n3)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_113]),c_0_104]),c_0_104]),c_0_114])]) ).
cnf(c_0_124,plain,
( startedIn(X3,X5,X4)
| ~ happens(X1,X2)
| ~ less(X3,X2)
| ~ less(X2,X4)
| ~ initiates(X1,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_125,plain,
initiates(overflow,spilling,X1),
inference(spm,[status(thm)],[c_0_39,c_0_116]) ).
cnf(c_0_126,plain,
( esk1_3(n0,filling,n2) = overflow
| holdsAt(waterLevel(n2),n2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_85]),c_0_86]) ).
fof(c_0_127,plain,
! [X88,X89,X90] :
( ~ holdsAt(waterLevel(X89),X88)
| ~ holdsAt(waterLevel(X90),X88)
| X89 = X90 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[same_waterLevel])]) ).
cnf(c_0_128,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2)
| happens(tapOn,n1) ),
inference(spm,[status(thm)],[c_0_110,c_0_119]) ).
cnf(c_0_129,plain,
( less(X1,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_130,plain,
( less(X1,X2)
| X1 = X2
| ~ less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_131,plain,
( less_or_equal(esk2_3(n0,filling,n1),n0)
| holdsAt(waterLevel(n1),n1) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_132,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_133,plain,
( holdsAt(waterLevel(n3),n3)
| stoppedIn(n0,filling,n3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_47]),c_0_56])]) ).
cnf(c_0_134,plain,
( startedIn(X1,spilling,X2)
| ~ less(X1,X3)
| ~ less(X3,X2)
| ~ happens(overflow,X3) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_135,plain,
( holdsAt(waterLevel(n2),n2)
| happens(overflow,esk2_3(n0,filling,n2)) ),
inference(spm,[status(thm)],[c_0_108,c_0_126]) ).
cnf(c_0_136,plain,
( less_or_equal(X1,n1)
| ~ less(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_137,plain,
( holdsAt(waterLevel(n2),n2)
| less(esk2_3(n0,filling,n2),n2) ),
inference(spm,[status(thm)],[c_0_111,c_0_98]) ).
cnf(c_0_138,plain,
( X1 = X3
| ~ holdsAt(waterLevel(X1),X2)
| ~ holdsAt(waterLevel(X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_139,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_128]),c_0_65])]) ).
cnf(c_0_140,plain,
( holdsAt(waterLevel(n1),n1)
| less(n0,esk2_3(n0,filling,n1)) ),
inference(spm,[status(thm)],[c_0_129,c_0_112]) ).
cnf(c_0_141,plain,
( esk2_3(n0,filling,n1) = n0
| holdsAt(waterLevel(n1),n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]) ).
cnf(c_0_142,plain,
( holdsAt(waterLevel(n3),n3)
| happens(esk1_3(n0,filling,n3),esk2_3(n0,filling,n3)) ),
inference(spm,[status(thm)],[c_0_97,c_0_133]) ).
cnf(c_0_143,plain,
( holdsAt(waterLevel(n3),n3)
| terminates(esk1_3(n0,filling,n3),filling,esk2_3(n0,filling,n3)) ),
inference(spm,[status(thm)],[c_0_99,c_0_133]) ).
fof(c_0_144,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[less_property])])])]) ).
fof(c_0_145,plain,
! [X59,X60,X61] :
( ~ happens(X59,X60)
| ~ terminates(X59,X61,X60)
| ~ holdsAt(X61,plus(X60,n1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[happens_terminates_not_holds])])]) ).
cnf(c_0_146,plain,
( holdsAt(waterLevel(n2),n2)
| startedIn(X1,spilling,X2)
| ~ less(X1,esk2_3(n0,filling,n2))
| ~ less(esk2_3(n0,filling,n2),X2) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_147,plain,
( holdsAt(waterLevel(n2),n2)
| less(n0,esk2_3(n0,filling,n2)) ),
inference(spm,[status(thm)],[c_0_129,c_0_98]) ).
cnf(c_0_148,plain,
( less_or_equal(esk2_3(n0,filling,n2),n1)
| holdsAt(waterLevel(n2),n2) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_149,plain,
( X1 = n3
| holdsAt(filling,n2)
| ~ holdsAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_150,plain,
holdsAt(waterLevel(n1),n1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_132]) ).
cnf(c_0_151,plain,
( esk1_3(n0,filling,n3) = overflow
| esk1_3(n0,filling,n3) = tapOn
| holdsAt(waterLevel(n3),n3) ),
inference(spm,[status(thm)],[c_0_73,c_0_142]) ).
cnf(c_0_152,plain,
( esk1_3(n0,filling,n3) = tapOff
| esk1_3(n0,filling,n3) = overflow
| holdsAt(waterLevel(n3),n3) ),
inference(spm,[status(thm)],[c_0_75,c_0_143]) ).
cnf(c_0_153,plain,
( less(X1,X2)
| X1 = X2
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_154,plain,
( ~ happens(X1,X2)
| ~ terminates(X1,X3,X2)
| ~ holdsAt(X3,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_155,plain,
( holdsAt(waterLevel(n2),n2)
| startedIn(n0,spilling,X1)
| ~ less(esk2_3(n0,filling,n2),X1) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_156,plain,
( esk2_3(n0,filling,n2) = n1
| holdsAt(waterLevel(n2),n2)
| less(esk2_3(n0,filling,n2),n1) ),
inference(spm,[status(thm)],[c_0_130,c_0_148]) ).
cnf(c_0_157,plain,
( n3 = n1
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_158,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[plus1_2]) ).
cnf(c_0_159,plain,
( esk1_3(n0,filling,n3) = overflow
| holdsAt(waterLevel(n3),n3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_85]),c_0_86]) ).
cnf(c_0_160,plain,
( X1 = n1
| less_or_equal(X1,n0)
| less(n1,X1) ),
inference(spm,[status(thm)],[c_0_120,c_0_153]) ).
cnf(c_0_161,plain,
( holdsAt(waterLevel(n2),n2)
| ~ holdsAt(filling,plus(n1,esk2_3(n0,filling,n2))) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_109]),c_0_50]),c_0_108]) ).
cnf(c_0_162,plain,
( esk2_3(n0,filling,n2) = n1
| holdsAt(waterLevel(n2),n2)
| startedIn(n0,spilling,n1) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_163,plain,
( releases(esk8_2(X1,X2),X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_164,plain,
( X1 = overflow
| X2 = n0
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_165,plain,
( n3 = n1
| releasedAt(filling,n3)
| holdsAt(filling,n3)
| happens(esk5_2(filling,n2),n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_157]),c_0_50]),c_0_158]),c_0_50]),c_0_158]) ).
cnf(c_0_166,plain,
( epred1_3(X4,X3,X2)
| ~ holdsAt(waterLevel(X1),X2)
| X3 != overflow
| X4 != waterLevel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_167,plain,
( holdsAt(waterLevel(n3),n3)
| happens(overflow,esk2_3(n0,filling,n3)) ),
inference(spm,[status(thm)],[c_0_142,c_0_159]) ).
cnf(c_0_168,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_169,plain,
( X1 = n1
| X1 = n0
| less(n1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_160]),c_0_132]) ).
cnf(c_0_170,plain,
( X1 = n2
| less_or_equal(X1,n1)
| less(n2,X1) ),
inference(spm,[status(thm)],[c_0_136,c_0_153]) ).
cnf(c_0_171,plain,
( holdsAt(waterLevel(n2),n2)
| startedIn(n0,spilling,n1)
| ~ holdsAt(filling,n2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_65]) ).
cnf(c_0_172,plain,
( releases(esk8_2(X1,X2),X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_163,c_0_50]) ).
cnf(c_0_173,plain,
( esk5_2(filling,n2) = overflow
| n3 = n1
| n2 = n0
| releasedAt(filling,n3)
| holdsAt(filling,n3) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_174,plain,
( epred1_3(waterLevel(X1),overflow,X2)
| ~ holdsAt(waterLevel(X1),X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_166])]) ).
cnf(c_0_175,plain,
( holdsAt(waterLevel(n3),esk2_3(n0,filling,n3))
| holdsAt(waterLevel(n3),n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_167]),c_0_93]) ).
cnf(c_0_176,plain,
( X1 = n0
| X1 = n1
| ~ less(X1,n1) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_177,plain,
( X1 = n2
| X1 = n1
| less(n2,X1)
| less(X1,n1) ),
inference(spm,[status(thm)],[c_0_130,c_0_170]) ).
cnf(c_0_178,plain,
( less_or_equal(X1,n2)
| ~ less(X1,n3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_179,plain,
( holdsAt(waterLevel(n3),n3)
| less(esk2_3(n0,filling,n3),n3) ),
inference(spm,[status(thm)],[c_0_111,c_0_133]) ).
cnf(c_0_180,plain,
( less(esk4_3(X1,X2,X3),X2)
| ~ startedIn(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_181,plain,
( n3 = n1
| holdsAt(waterLevel(n2),n2)
| startedIn(n0,spilling,n1) ),
inference(spm,[status(thm)],[c_0_171,c_0_157]) ).
fof(c_0_182,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(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])])])])])]) ).
cnf(c_0_183,plain,
( releases(esk8_2(X1,n2),X1,n2)
| releasedAt(X1,n2)
| ~ releasedAt(X1,n3) ),
inference(spm,[status(thm)],[c_0_172,c_0_158]) ).
cnf(c_0_184,plain,
( n2 = n0
| n3 = n1
| releasedAt(filling,n3)
| holdsAt(filling,n3)
| happens(overflow,n2) ),
inference(spm,[status(thm)],[c_0_165,c_0_173]) ).
fof(c_0_185,plain,
! [X91] : filling != waterLevel(X91),
inference(variable_rename,[status(thm)],[filling_not_waterLevel]) ).
cnf(c_0_186,plain,
( epred1_3(waterLevel(n3),overflow,esk2_3(n0,filling,n3))
| holdsAt(waterLevel(n3),n3) ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_187,plain,
( X1 = n2
| X1 = n1
| X1 = n0
| less(n2,X1) ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_188,plain,
( less_or_equal(esk2_3(n0,filling,n3),n2)
| holdsAt(waterLevel(n3),n3) ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_189,plain,
( n3 = n1
| holdsAt(waterLevel(n2),n2)
| less(esk4_3(n0,n1,spilling),n1) ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_190,plain,
( X1 = waterLevel(esk9_2(X2,X1))
| ~ releases(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
cnf(c_0_191,plain,
( n3 = n1
| n2 = n0
| releases(esk8_2(filling,n2),filling,n2)
| releasedAt(filling,n2)
| holdsAt(filling,n3)
| happens(overflow,n2) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_192,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_193,plain,
( terminates(X1,X2,X3)
| X1 != overflow
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_194,plain,
( holdsAt(waterLevel(n3),n3)
| initiates(overflow,waterLevel(n3),esk2_3(n0,filling,n3)) ),
inference(spm,[status(thm)],[c_0_39,c_0_186]) ).
cnf(c_0_195,plain,
( X1 = n0
| X1 = n1
| X1 = n2
| ~ less(X1,n2) ),
inference(spm,[status(thm)],[c_0_168,c_0_187]) ).
cnf(c_0_196,plain,
( esk2_3(n0,filling,n3) = n2
| holdsAt(waterLevel(n3),n3)
| less(esk2_3(n0,filling,n3),n2) ),
inference(spm,[status(thm)],[c_0_130,c_0_188]) ).
cnf(c_0_197,plain,
( less(X1,esk4_3(X1,X2,X3))
| ~ startedIn(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_198,plain,
( n3 = n1
| less_or_equal(esk4_3(n0,n1,spilling),n0)
| holdsAt(waterLevel(n2),n2) ),
inference(spm,[status(thm)],[c_0_120,c_0_189]) ).
cnf(c_0_199,plain,
( n2 = n0
| n3 = n1
| releasedAt(filling,n2)
| holdsAt(filling,n3)
| happens(overflow,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_192]) ).
cnf(c_0_200,plain,
terminates(overflow,filling,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_193])]) ).
cnf(c_0_201,plain,
( holdsAt(waterLevel(n3),plus(n1,esk2_3(n0,filling,n3)))
| holdsAt(waterLevel(n3),n3) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_194]),c_0_50]),c_0_167]) ).
cnf(c_0_202,plain,
( esk2_3(n0,filling,n3) = n2
| esk2_3(n0,filling,n3) = n1
| esk2_3(n0,filling,n3) = n0
| holdsAt(waterLevel(n3),n3) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_203,plain,
( n3 = n1
| holdsAt(waterLevel(n2),n2)
| less(n0,esk4_3(n0,n1,spilling)) ),
inference(spm,[status(thm)],[c_0_197,c_0_181]) ).
cnf(c_0_204,plain,
( esk4_3(n0,n1,spilling) = n0
| n3 = n1
| holdsAt(waterLevel(n2),n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_198]),c_0_132]) ).
cnf(c_0_205,plain,
( holdsAt(waterLevel(n3),X1)
| X1 = n0
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_206,plain,
( n3 = n1
| n2 = n0
| holdsAt(filling,n3)
| happens(esk8_2(filling,n1),n1)
| happens(overflow,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_199]),c_0_102]) ).
cnf(c_0_207,plain,
( X1 = n1
| ~ holdsAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[c_0_138,c_0_150]) ).
cnf(c_0_208,plain,
( ~ holdsAt(filling,plus(X1,n1))
| ~ happens(overflow,X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_200]) ).
cnf(c_0_209,plain,
( holdsAt(waterLevel(n3),n3)
| less(n0,esk2_3(n0,filling,n3)) ),
inference(spm,[status(thm)],[c_0_129,c_0_133]) ).
cnf(c_0_210,plain,
( esk2_3(n0,filling,n3) = n0
| esk2_3(n0,filling,n3) = n1
| holdsAt(waterLevel(n3),n3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_158])]) ).
cnf(c_0_211,plain,
( n3 = n1
| holdsAt(waterLevel(n2),n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_132]) ).
cnf(c_0_212,plain,
( n2 = n0
| n3 = n1
| n0 = n1
| holdsAt(filling,n3)
| happens(overflow,n2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207]) ).
fof(c_0_213,negated_conjecture,
~ happens(overflow,n3),
inference(assume_negation,[status(cth)],[overflow_3]) ).
cnf(c_0_214,plain,
( holdsAt(waterLevel(n3),n3)
| ~ holdsAt(filling,plus(n1,esk2_3(n0,filling,n3))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_167]),c_0_50]) ).
cnf(c_0_215,plain,
( esk2_3(n0,filling,n3) = n1
| holdsAt(waterLevel(n3),n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_132]) ).
cnf(c_0_216,plain,
( happens(X2,X1)
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| X2 != overflow ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_217,plain,
( n3 = n1
| X1 = n2
| ~ holdsAt(waterLevel(X1),n2) ),
inference(spm,[status(thm)],[c_0_138,c_0_211]) ).
cnf(c_0_218,plain,
( n0 = n1
| n3 = n1
| n2 = n0
| holdsAt(waterLevel(n3),n2)
| holdsAt(filling,n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_212]),c_0_93]) ).
fof(c_0_219,negated_conjecture,
~ happens(overflow,n3),
inference(fof_simplification,[status(thm)],[c_0_213]) ).
cnf(c_0_220,plain,
( holdsAt(waterLevel(n3),n3)
| ~ holdsAt(filling,n2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_65]) ).
cnf(c_0_221,plain,
( happens(overflow,X1)
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1) ),
inference(er,[status(thm)],[c_0_216]) ).
cnf(c_0_222,plain,
( n2 = n0
| n0 = n1
| n2 = n3
| n3 = n1
| holdsAt(filling,n3) ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_223,negated_conjecture,
~ happens(overflow,n3),
inference(split_conjunct,[status(thm)],[c_0_219]) ).
cnf(c_0_224,plain,
( n3 = n1
| holdsAt(waterLevel(n3),n3) ),
inference(spm,[status(thm)],[c_0_220,c_0_157]) ).
cnf(c_0_225,plain,
( X1 != X2
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_226,plain,
less(n2,n3),
inference(spm,[status(thm)],[c_0_105,c_0_53]) ).
cnf(c_0_227,plain,
( n3 = n1
| n2 = n3
| n0 = n1
| n2 = n0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223]),c_0_224]) ).
cnf(c_0_228,plain,
~ less(X1,X1),
inference(er,[status(thm)],[c_0_225]) ).
cnf(c_0_229,plain,
( n2 = n0
| n0 = n1
| n3 = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228]) ).
cnf(c_0_230,plain,
~ less(n3,n2),
inference(spm,[status(thm)],[c_0_168,c_0_226]) ).
cnf(c_0_231,plain,
( n0 = n1
| n3 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_229]),c_0_57])]) ).
cnf(c_0_232,plain,
less(n1,n2),
inference(spm,[status(thm)],[c_0_71,c_0_53]) ).
cnf(c_0_233,plain,
n0 = n1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232])]) ).
cnf(c_0_234,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_233]),c_0_228]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR004+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 11 04:07:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected SinE mode:
% 0.20/0.47 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 25.97/4.69 # ENIGMATIC: Solved by autoschedule:
% 25.97/4.69 # No SInE strategy applied
% 25.97/4.69 # Trying AutoSched0 for 150 seconds
% 25.97/4.69 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 25.97/4.69 # and selection function SelectCQArNTNpEqFirst.
% 25.97/4.69 #
% 25.97/4.69 # Preprocessing time : 0.030 s
% 25.97/4.69 # Presaturation interreduction done
% 25.97/4.69
% 25.97/4.69 # Proof found!
% 25.97/4.69 # SZS status Theorem
% 25.97/4.69 # SZS output start CNFRefutation
% See solution above
% 25.97/4.70 # Training examples: 0 positive, 0 negative
% 25.97/4.70
% 25.97/4.70 # -------------------------------------------------
% 25.97/4.70 # User time : 2.254 s
% 25.97/4.70 # System time : 0.038 s
% 25.97/4.70 # Total time : 2.292 s
% 25.97/4.70 # Maximum resident set size: 7124 pages
% 25.97/4.70
%------------------------------------------------------------------------------