TSTP Solution File: CSR004+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : CSR004+1 : TPTP v8.2.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 : Mon May 20 19:17:06 EDT 2024
% Result : Theorem 15.82s 2.49s
% Output : CNFRefutation 15.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 33
% Syntax : Number of formulae : 247 ( 63 unt; 0 def)
% Number of atoms : 912 ( 333 equ)
% Maximal formula atoms : 194 ( 3 avg)
% Number of connectives : 932 ( 267 ~; 515 |; 123 &)
% ( 14 <=>; 13 =>; 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 : 315 ( 15 sgn 151 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(initiates_all_defn,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> ( ( X4 = tapOn
& X2 = filling )
| ( X4 = overflow
& X2 = spilling )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = tapOff
& X2 = waterLevel(X9) )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = overflow
& X2 = waterLevel(X9) ) ) ),
file('/export/starexec/sandbox/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(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(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(change_holding,axiom,
! [X4,X5,X2,X6,X7] :
( ( happens(X4,X5)
& initiates(X4,X2,X5)
& less(n0,X7)
& trajectory(X2,X5,X6,X7)
& ~ stoppedIn(X5,X2,plus(X5,X7)) )
=> holdsAt(X6,plus(X5,X7)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',change_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(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(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(plus0_2,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_2) ).
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(overflow_not_tapOn,axiom,
overflow != tapOn,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',overflow_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(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(less_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
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(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(filling_not_waterLevel,axiom,
! [X12] : filling != waterLevel(X12),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).
fof(releases_all_defn,axiom,
! [X4,X2,X5] :
( releases(X4,X2,X5)
<=> ? [X9] :
( X4 = tapOn
& X2 = waterLevel(X9) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',releases_all_defn) ).
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(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_32])])])])])])]) ).
fof(c_0_35,plain,
! [X42,X43,X44] :
( ( ~ initiates(X42,X43,X44)
| epred1_3(X43,X42,X44) )
& ( ~ epred1_3(X43,X42,X44)
| initiates(X42,X43,X44) ) ),
inference(fof_nnf,[status(thm)],[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,
! [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_38,plain,
! [X26,X27,X28] :
( ~ happens(X26,X27)
| ~ initiates(X26,X28,X27)
| holdsAt(X28,plus(X27,n1)) ),
inference(fof_nnf,[status(thm)],[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,
! [X38,X39] :
( ( holdsAt(waterLevel(n3),X39)
| X38 = tapOn
| ~ happens(X38,X39) )
& ( holdsAt(filling,X39)
| X38 = tapOn
| ~ happens(X38,X39) )
& ( X38 = overflow
| X38 = tapOn
| ~ happens(X38,X39) )
& ( holdsAt(waterLevel(n3),X39)
| X39 = n0
| ~ happens(X38,X39) )
& ( holdsAt(filling,X39)
| X39 = n0
| ~ happens(X38,X39) )
& ( X38 = overflow
| X39 = n0
| ~ happens(X38,X39) )
& ( X38 != tapOn
| X39 != n0
| happens(X38,X39) )
& ( ~ holdsAt(waterLevel(n3),X39)
| ~ holdsAt(filling,X39)
| X38 != overflow
| happens(X38,X39) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])])]) ).
fof(c_0_42,plain,
! [X51,X52] : plus(X51,X52) = plus(X52,X51),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
fof(c_0_43,plain,
! [X89,X90,X91,X92] :
( ~ holdsAt(waterLevel(X89),X90)
| X91 != plus(X89,X92)
| trajectory(filling,X90,waterLevel(X91),X92) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])])]) ).
fof(c_0_44,plain,
! [X53] :
( ( ~ less(X53,n1)
| less_or_equal(X53,n0) )
& ( ~ less_or_equal(X53,n0)
| less(X53,n1) ) ),
inference(fof_nnf,[status(thm)],[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]) ).
fof(c_0_46,plain,
! [X2,X5] :
( ( holdsAt(X2,X5)
& ~ releasedAt(X2,plus(X5,n1))
& ~ ? [X4] :
( happens(X4,X5)
& terminates(X4,X2,X5) ) )
=> holdsAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[keep_holding]) ).
cnf(c_0_47,plain,
( holdsAt(X3,plus(X2,n1))
| ~ happens(X1,X2)
| ~ initiates(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
initiates(tapOn,filling,X1),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_49,plain,
( happens(X1,X2)
| X1 != tapOn
| X2 != n0 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
cnf(c_0_51,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,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_53,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_54,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_45]) ).
fof(c_0_55,plain,
! [X14,X15] :
( ( happens(esk1_2(X14,X15),X15)
| ~ holdsAt(X14,X15)
| releasedAt(X14,plus(X15,n1))
| holdsAt(X14,plus(X15,n1)) )
& ( terminates(esk1_2(X14,X15),X14,X15)
| ~ holdsAt(X14,X15)
| releasedAt(X14,plus(X15,n1))
| holdsAt(X14,plus(X15,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_46])])])])]) ).
cnf(c_0_56,plain,
( holdsAt(filling,plus(X1,n1))
| ~ happens(tapOn,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_57,plain,
happens(tapOn,n0),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_49])]) ).
cnf(c_0_58,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_59,plain,
! [X4,X5,X2,X6,X7] :
( ( happens(X4,X5)
& initiates(X4,X2,X5)
& less(n0,X7)
& trajectory(X2,X5,X6,X7)
& ~ stoppedIn(X5,X2,plus(X5,X7)) )
=> holdsAt(X6,plus(X5,X7)) ),
inference(fof_simplification,[status(thm)],[change_holding]) ).
cnf(c_0_60,plain,
( trajectory(filling,X1,waterLevel(plus(X2,X3)),X3)
| ~ holdsAt(waterLevel(X2),X1) ),
inference(er,[status(thm)],[c_0_52]) ).
cnf(c_0_61,hypothesis,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[waterLevel_0]) ).
fof(c_0_62,plain,
! [X54] :
( ( ~ less(X54,n2)
| less_or_equal(X54,n1) )
& ( ~ less_or_equal(X54,n1)
| less(X54,n2) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less2])])]) ).
cnf(c_0_63,plain,
( less_or_equal(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_64,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_65,plain,
( happens(esk1_2(X1,X2),X2)
| releasedAt(X1,plus(X2,n1))
| holdsAt(X1,plus(X2,n1))
| ~ holdsAt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_66,plain,
holdsAt(filling,n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_51]),c_0_58]) ).
cnf(c_0_67,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[plus1_1]) ).
fof(c_0_68,plain,
! [X45,X46,X47] :
( ( X45 = overflow
| X45 = tapOff
| ~ terminates(X45,X46,X47) )
& ( X46 = filling
| X45 = tapOff
| ~ terminates(X45,X46,X47) )
& ( X45 = overflow
| X46 = filling
| ~ terminates(X45,X46,X47) )
& ( X46 = filling
| X46 = filling
| ~ terminates(X45,X46,X47) )
& ( X45 != tapOff
| X46 != filling
| terminates(X45,X46,X47) )
& ( X45 != overflow
| X46 != filling
| terminates(X45,X46,X47) ) ),
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_69,plain,
( terminates(esk1_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_55]) ).
fof(c_0_70,plain,
tapOff != overflow,
inference(fof_simplification,[status(thm)],[tapOff_not_overflow]) ).
fof(c_0_71,plain,
tapOff != tapOn,
inference(fof_simplification,[status(thm)],[tapOff_not_tapOn]) ).
fof(c_0_72,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_73,plain,
! [X76,X77,X78,X79,X80] :
( ~ happens(X76,X77)
| ~ initiates(X76,X78,X77)
| ~ less(n0,X80)
| ~ trajectory(X78,X77,X79,X80)
| stoppedIn(X77,X78,plus(X77,X80))
| holdsAt(X79,plus(X77,X80)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])]) ).
cnf(c_0_74,hypothesis,
trajectory(filling,n0,waterLevel(plus(n0,X1)),X1),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_75,plain,
plus(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[plus0_2]) ).
cnf(c_0_76,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_77,plain,
less_or_equal(n0,n1),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
fof(c_0_78,plain,
! [X2,X5] :
( ( ~ releasedAt(X2,X5)
& ~ ? [X4] :
( happens(X4,X5)
& releases(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[keep_not_released]) ).
cnf(c_0_79,plain,
( X1 = overflow
| X1 = tapOn
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_80,plain,
( releasedAt(filling,n2)
| holdsAt(filling,n2)
| happens(esk1_2(filling,n1),n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_67]) ).
cnf(c_0_81,plain,
( X1 = overflow
| X1 = tapOff
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_82,plain,
( releasedAt(filling,n2)
| holdsAt(filling,n2)
| terminates(esk1_2(filling,n1),filling,n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_66]),c_0_67]),c_0_67]) ).
fof(c_0_83,plain,
tapOff != overflow,
inference(fof_nnf,[status(thm)],[c_0_70]) ).
fof(c_0_84,plain,
tapOff != tapOn,
inference(fof_nnf,[status(thm)],[c_0_71]) ).
fof(c_0_85,plain,
overflow != tapOn,
inference(fof_simplification,[status(thm)],[overflow_not_tapOn]) ).
fof(c_0_86,plain,
! [X35,X36,X37] :
( ( ~ initiates(X35,X37,X36)
| ~ happens(X35,X36)
| ~ releasedAt(X37,plus(X36,n1)) )
& ( ~ terminates(X35,X37,X36)
| ~ happens(X35,X36)
| ~ releasedAt(X37,plus(X36,n1)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])])]) ).
cnf(c_0_87,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_73]) ).
cnf(c_0_88,hypothesis,
trajectory(filling,n0,waterLevel(n2),n2),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_89,plain,
less(n0,n2),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
fof(c_0_90,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_78])])])])]) ).
cnf(c_0_91,plain,
( holdsAt(waterLevel(n3),X1)
| X2 = tapOn
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_92,plain,
( esk1_2(filling,n1) = overflow
| esk1_2(filling,n1) = tapOn
| releasedAt(filling,n2)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_93,plain,
( esk1_2(filling,n1) = tapOff
| esk1_2(filling,n1) = overflow
| releasedAt(filling,n2)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_94,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_95,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[c_0_84]) ).
fof(c_0_96,plain,
overflow != tapOn,
inference(fof_nnf,[status(thm)],[c_0_85]) ).
cnf(c_0_97,plain,
( ~ initiates(X1,X2,X3)
| ~ happens(X1,X3)
| ~ releasedAt(X2,plus(X3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
fof(c_0_98,plain,
! [X55,X56,X57,X60,X61,X62,X63,X64] :
( ( happens(esk5_3(X55,X56,X57),esk6_3(X55,X56,X57))
| ~ stoppedIn(X55,X56,X57) )
& ( less(X55,esk6_3(X55,X56,X57))
| ~ stoppedIn(X55,X56,X57) )
& ( less(esk6_3(X55,X56,X57),X57)
| ~ stoppedIn(X55,X56,X57) )
& ( terminates(esk5_3(X55,X56,X57),X56,esk6_3(X55,X56,X57))
| ~ stoppedIn(X55,X56,X57) )
& ( ~ happens(X63,X64)
| ~ less(X60,X64)
| ~ less(X64,X62)
| ~ terminates(X63,X61,X64)
| stoppedIn(X60,X61,X62) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[stoppedin_defn])])])])])])]) ).
cnf(c_0_99,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_87,c_0_88]),c_0_75]),c_0_75]),c_0_89])]) ).
cnf(c_0_100,plain,
( happens(esk4_2(X1,X2),X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_101,plain,
( esk1_2(filling,n1) = tapOn
| releasedAt(filling,n2)
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_91,c_0_80]) ).
cnf(c_0_102,plain,
( esk1_2(filling,n1) = overflow
| releasedAt(filling,n2)
| holdsAt(filling,n2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),c_0_95]) ).
cnf(c_0_103,plain,
overflow != tapOn,
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_104,plain,
( ~ releasedAt(filling,plus(X1,n1))
| ~ happens(tapOn,X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_48]) ).
cnf(c_0_105,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_87,c_0_74]) ).
fof(c_0_106,plain,
! [X40] :
( ( ~ less(X40,n3)
| less_or_equal(X40,n2) )
& ( ~ less_or_equal(X40,n2)
| less(X40,n3) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less3])])]) ).
cnf(c_0_107,plain,
( happens(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_108,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_48]),c_0_57])]) ).
cnf(c_0_109,plain,
( terminates(esk5_3(X1,X2,X3),X2,esk6_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_110,plain,
( releasedAt(X1,n1)
| happens(esk4_2(X1,n1),n1)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_100,c_0_67]) ).
cnf(c_0_111,plain,
( releasedAt(filling,n2)
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_112,plain,
~ releasedAt(filling,n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_57]),c_0_51]),c_0_58]) ).
cnf(c_0_113,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_105,c_0_48]),c_0_57])]) ).
cnf(c_0_114,plain,
plus(n0,n3) = n3,
inference(split_conjunct,[status(thm)],[plus0_3]) ).
cnf(c_0_115,plain,
( less(X1,n3)
| ~ less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_116,plain,
less_or_equal(n0,n2),
inference(spm,[status(thm)],[c_0_63,c_0_89]) ).
cnf(c_0_117,plain,
( epred1_3(X2,X1,X3)
| X1 != overflow
| X2 != spilling ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_118,plain,
( holdsAt(waterLevel(n2),n2)
| happens(esk5_3(n0,filling,n2),esk6_3(n0,filling,n2)) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_119,plain,
( holdsAt(waterLevel(n2),n2)
| terminates(esk5_3(n0,filling,n2),filling,esk6_3(n0,filling,n2)) ),
inference(spm,[status(thm)],[c_0_109,c_0_108]) ).
cnf(c_0_120,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2)
| happens(esk4_2(filling,n1),n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).
cnf(c_0_121,plain,
( less(esk6_3(X1,X2,X3),X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_122,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_113,c_0_64]),c_0_51]),c_0_58]),c_0_51]),c_0_58]),c_0_51]),c_0_58]) ).
fof(c_0_123,plain,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
inference(fof_simplification,[status(thm)],[less_property]) ).
cnf(c_0_124,hypothesis,
trajectory(filling,n0,waterLevel(n3),n3),
inference(spm,[status(thm)],[c_0_74,c_0_114]) ).
cnf(c_0_125,plain,
less(n0,n3),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
fof(c_0_126,plain,
! [X66,X67,X68,X71,X72,X73,X74,X75] :
( ( happens(esk7_3(X66,X67,X68),esk8_3(X66,X67,X68))
| ~ startedIn(X66,X68,X67) )
& ( less(X66,esk8_3(X66,X67,X68))
| ~ startedIn(X66,X68,X67) )
& ( less(esk8_3(X66,X67,X68),X67)
| ~ startedIn(X66,X68,X67) )
& ( initiates(esk7_3(X66,X67,X68),X68,esk8_3(X66,X67,X68))
| ~ startedIn(X66,X68,X67) )
& ( ~ happens(X74,X75)
| ~ less(X71,X75)
| ~ less(X75,X72)
| ~ initiates(X74,X73,X75)
| startedIn(X71,X73,X72) ) ),
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)],[startedin_defn])])])])])])]) ).
cnf(c_0_127,plain,
epred1_3(spilling,overflow,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_117])]) ).
cnf(c_0_128,plain,
( esk5_3(n0,filling,n2) = overflow
| esk5_3(n0,filling,n2) = tapOn
| holdsAt(waterLevel(n2),n2) ),
inference(spm,[status(thm)],[c_0_79,c_0_118]) ).
cnf(c_0_129,plain,
( esk5_3(n0,filling,n2) = tapOff
| esk5_3(n0,filling,n2) = overflow
| holdsAt(waterLevel(n2),n2) ),
inference(spm,[status(thm)],[c_0_81,c_0_119]) ).
cnf(c_0_130,plain,
( esk4_2(filling,n1) = tapOn
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_91,c_0_120]) ).
cnf(c_0_131,plain,
( less_or_equal(X1,n0)
| ~ less(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_132,plain,
( holdsAt(waterLevel(n1),n1)
| less(esk6_3(n0,filling,n1),n1) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
fof(c_0_133,plain,
! [X97] : ~ less(X97,n0),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])])]) ).
fof(c_0_134,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_123])])])]) ).
cnf(c_0_135,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_87,c_0_124]),c_0_114]),c_0_114]),c_0_125])]) ).
cnf(c_0_136,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_126]) ).
cnf(c_0_137,plain,
initiates(overflow,spilling,X1),
inference(spm,[status(thm)],[c_0_39,c_0_127]) ).
cnf(c_0_138,plain,
( esk5_3(n0,filling,n2) = overflow
| holdsAt(waterLevel(n2),n2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_94]),c_0_95]) ).
fof(c_0_139,plain,
! [X48,X49,X50] :
( ~ holdsAt(waterLevel(X49),X48)
| ~ holdsAt(waterLevel(X50),X48)
| X49 = X50 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[same_waterLevel])])]) ).
cnf(c_0_140,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2)
| happens(tapOn,n1) ),
inference(spm,[status(thm)],[c_0_120,c_0_130]) ).
cnf(c_0_141,plain,
( less(X1,esk6_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_142,plain,
( less(X1,X2)
| X1 = X2
| ~ less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_143,plain,
( less_or_equal(esk6_3(n0,filling,n1),n0)
| holdsAt(waterLevel(n1),n1) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_144,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_145,plain,
( X1 != X2
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_146,plain,
( holdsAt(waterLevel(n3),n3)
| stoppedIn(n0,filling,n3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_48]),c_0_57])]) ).
fof(c_0_147,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_148,plain,
( startedIn(X1,spilling,X2)
| ~ less(X1,X3)
| ~ less(X3,X2)
| ~ happens(overflow,X3) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_149,plain,
( holdsAt(waterLevel(n2),n2)
| happens(overflow,esk6_3(n0,filling,n2)) ),
inference(spm,[status(thm)],[c_0_118,c_0_138]) ).
cnf(c_0_150,plain,
( less_or_equal(X1,n1)
| ~ less(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_151,plain,
( holdsAt(waterLevel(n2),n2)
| less(esk6_3(n0,filling,n2),n2) ),
inference(spm,[status(thm)],[c_0_121,c_0_108]) ).
cnf(c_0_152,plain,
( X1 = X3
| ~ holdsAt(waterLevel(X1),X2)
| ~ holdsAt(waterLevel(X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_153,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_140]),c_0_67])]) ).
cnf(c_0_154,plain,
( holdsAt(waterLevel(n1),n1)
| less(n0,esk6_3(n0,filling,n1)) ),
inference(spm,[status(thm)],[c_0_141,c_0_122]) ).
cnf(c_0_155,plain,
( esk6_3(n0,filling,n1) = n0
| holdsAt(waterLevel(n1),n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]) ).
cnf(c_0_156,plain,
~ less(X1,X1),
inference(er,[status(thm)],[c_0_145]) ).
cnf(c_0_157,plain,
( holdsAt(waterLevel(n3),n3)
| happens(esk5_3(n0,filling,n3),esk6_3(n0,filling,n3)) ),
inference(spm,[status(thm)],[c_0_107,c_0_146]) ).
cnf(c_0_158,plain,
( holdsAt(waterLevel(n3),n3)
| terminates(esk5_3(n0,filling,n3),filling,esk6_3(n0,filling,n3)) ),
inference(spm,[status(thm)],[c_0_109,c_0_146]) ).
fof(c_0_159,plain,
! [X29,X30,X31] :
( ~ happens(X29,X30)
| ~ terminates(X29,X31,X30)
| ~ holdsAt(X31,plus(X30,n1)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_147])])]) ).
cnf(c_0_160,plain,
( holdsAt(waterLevel(n2),n2)
| startedIn(X1,spilling,X2)
| ~ less(X1,esk6_3(n0,filling,n2))
| ~ less(esk6_3(n0,filling,n2),X2) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_161,plain,
( holdsAt(waterLevel(n2),n2)
| less(n0,esk6_3(n0,filling,n2)) ),
inference(spm,[status(thm)],[c_0_141,c_0_108]) ).
cnf(c_0_162,plain,
( less_or_equal(esk6_3(n0,filling,n2),n1)
| holdsAt(waterLevel(n2),n2) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_163,plain,
( X1 = n3
| holdsAt(filling,n2)
| ~ holdsAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_164,plain,
holdsAt(waterLevel(n1),n1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]) ).
cnf(c_0_165,plain,
( esk5_3(n0,filling,n3) = overflow
| esk5_3(n0,filling,n3) = tapOn
| holdsAt(waterLevel(n3),n3) ),
inference(spm,[status(thm)],[c_0_79,c_0_157]) ).
cnf(c_0_166,plain,
( esk5_3(n0,filling,n3) = tapOff
| esk5_3(n0,filling,n3) = overflow
| holdsAt(waterLevel(n3),n3) ),
inference(spm,[status(thm)],[c_0_81,c_0_158]) ).
cnf(c_0_167,plain,
( less(X1,X2)
| X1 = X2
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_168,plain,
( ~ happens(X1,X2)
| ~ terminates(X1,X3,X2)
| ~ holdsAt(X3,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_159]) ).
cnf(c_0_169,plain,
( holdsAt(waterLevel(n2),n2)
| startedIn(n0,spilling,X1)
| ~ less(esk6_3(n0,filling,n2),X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_170,plain,
( esk6_3(n0,filling,n2) = n1
| holdsAt(waterLevel(n2),n2)
| less(esk6_3(n0,filling,n2),n1) ),
inference(spm,[status(thm)],[c_0_142,c_0_162]) ).
cnf(c_0_171,plain,
( n3 = n1
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_172,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[plus1_2]) ).
cnf(c_0_173,plain,
( esk5_3(n0,filling,n3) = overflow
| holdsAt(waterLevel(n3),n3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_94]),c_0_95]) ).
cnf(c_0_174,plain,
( X1 = n1
| less_or_equal(X1,n0)
| less(n1,X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_167]) ).
cnf(c_0_175,plain,
( holdsAt(waterLevel(n2),n2)
| ~ holdsAt(filling,plus(n1,esk6_3(n0,filling,n2))) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_119]),c_0_51]),c_0_118]) ).
cnf(c_0_176,plain,
( esk6_3(n0,filling,n2) = n1
| holdsAt(waterLevel(n2),n2)
| startedIn(n0,spilling,n1) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_177,plain,
( releases(esk4_2(X1,X2),X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_178,plain,
( X1 = overflow
| X2 = n0
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_179,plain,
( n3 = n1
| releasedAt(filling,n3)
| holdsAt(filling,n3)
| happens(esk1_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_65,c_0_171]),c_0_51]),c_0_172]),c_0_51]),c_0_172]) ).
cnf(c_0_180,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_181,plain,
( holdsAt(waterLevel(n3),n3)
| happens(overflow,esk6_3(n0,filling,n3)) ),
inference(spm,[status(thm)],[c_0_157,c_0_173]) ).
cnf(c_0_182,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_183,plain,
( X1 = n1
| X1 = n0
| less(n1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_174]),c_0_144]) ).
cnf(c_0_184,plain,
( X1 = n2
| less_or_equal(X1,n1)
| less(n2,X1) ),
inference(spm,[status(thm)],[c_0_150,c_0_167]) ).
cnf(c_0_185,plain,
( holdsAt(waterLevel(n2),n2)
| startedIn(n0,spilling,n1)
| ~ holdsAt(filling,n2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_67]) ).
cnf(c_0_186,plain,
( releases(esk4_2(X1,X2),X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_177,c_0_51]) ).
cnf(c_0_187,plain,
( esk1_2(filling,n2) = overflow
| n3 = n1
| n2 = n0
| releasedAt(filling,n3)
| holdsAt(filling,n3) ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
fof(c_0_188,plain,
! [X12] : filling != waterLevel(X12),
inference(fof_simplification,[status(thm)],[filling_not_waterLevel]) ).
cnf(c_0_189,plain,
( epred1_3(waterLevel(X1),overflow,X2)
| ~ holdsAt(waterLevel(X1),X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_180])]) ).
cnf(c_0_190,plain,
( holdsAt(waterLevel(n3),esk6_3(n0,filling,n3))
| holdsAt(waterLevel(n3),n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_181]),c_0_103]) ).
cnf(c_0_191,plain,
( X1 = n0
| X1 = n1
| ~ less(X1,n1) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_192,plain,
( X1 = n2
| X1 = n1
| less(n2,X1)
| less(X1,n1) ),
inference(spm,[status(thm)],[c_0_142,c_0_184]) ).
cnf(c_0_193,plain,
( less_or_equal(X1,n2)
| ~ less(X1,n3) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_194,plain,
( holdsAt(waterLevel(n3),n3)
| less(esk6_3(n0,filling,n3),n3) ),
inference(spm,[status(thm)],[c_0_121,c_0_146]) ).
cnf(c_0_195,plain,
( less(esk8_3(X1,X2,X3),X2)
| ~ startedIn(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_196,plain,
( n3 = n1
| holdsAt(waterLevel(n2),n2)
| startedIn(n0,spilling,n1) ),
inference(spm,[status(thm)],[c_0_185,c_0_171]) ).
fof(c_0_197,plain,
! [X81,X82,X83,X85,X86,X87,X88] :
( ( X81 = tapOn
| ~ releases(X81,X82,X83) )
& ( X82 = waterLevel(esk9_2(X81,X82))
| ~ releases(X81,X82,X83) )
& ( X85 != tapOn
| X86 != waterLevel(X87)
| releases(X85,X86,X88) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[releases_all_defn])])])])])])]) ).
cnf(c_0_198,plain,
( releases(esk4_2(X1,n2),X1,n2)
| releasedAt(X1,n2)
| ~ releasedAt(X1,n3) ),
inference(spm,[status(thm)],[c_0_186,c_0_172]) ).
cnf(c_0_199,plain,
( n2 = n0
| n3 = n1
| releasedAt(filling,n3)
| holdsAt(filling,n3)
| happens(overflow,n2) ),
inference(spm,[status(thm)],[c_0_179,c_0_187]) ).
fof(c_0_200,plain,
! [X93] : filling != waterLevel(X93),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_188])]) ).
cnf(c_0_201,plain,
( terminates(X1,X2,X3)
| X1 != overflow
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_202,plain,
( epred1_3(waterLevel(n3),overflow,esk6_3(n0,filling,n3))
| holdsAt(waterLevel(n3),n3) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_203,plain,
( X1 = n2
| X1 = n1
| X1 = n0
| less(n2,X1) ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_204,plain,
( less_or_equal(esk6_3(n0,filling,n3),n2)
| holdsAt(waterLevel(n3),n3) ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_205,plain,
( n3 = n1
| holdsAt(waterLevel(n2),n2)
| less(esk8_3(n0,n1,spilling),n1) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_206,plain,
( X1 = waterLevel(esk9_2(X2,X1))
| ~ releases(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_207,plain,
( n3 = n1
| n2 = n0
| releases(esk4_2(filling,n2),filling,n2)
| releasedAt(filling,n2)
| holdsAt(filling,n3)
| happens(overflow,n2) ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_208,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[c_0_200]) ).
cnf(c_0_209,plain,
terminates(overflow,filling,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_201])]) ).
cnf(c_0_210,plain,
( holdsAt(waterLevel(n3),n3)
| initiates(overflow,waterLevel(n3),esk6_3(n0,filling,n3)) ),
inference(spm,[status(thm)],[c_0_39,c_0_202]) ).
cnf(c_0_211,plain,
( X1 = n0
| X1 = n1
| X1 = n2
| ~ less(X1,n2) ),
inference(spm,[status(thm)],[c_0_182,c_0_203]) ).
cnf(c_0_212,plain,
( esk6_3(n0,filling,n3) = n2
| holdsAt(waterLevel(n3),n3)
| less(esk6_3(n0,filling,n3),n2) ),
inference(spm,[status(thm)],[c_0_142,c_0_204]) ).
cnf(c_0_213,plain,
( less(X1,esk8_3(X1,X2,X3))
| ~ startedIn(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_214,plain,
( n3 = n1
| less_or_equal(esk8_3(n0,n1,spilling),n0)
| holdsAt(waterLevel(n2),n2) ),
inference(spm,[status(thm)],[c_0_131,c_0_205]) ).
cnf(c_0_215,plain,
( n2 = n0
| n3 = n1
| releasedAt(filling,n2)
| holdsAt(filling,n3)
| happens(overflow,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208]) ).
cnf(c_0_216,plain,
( ~ holdsAt(filling,plus(X1,n1))
| ~ happens(overflow,X1) ),
inference(spm,[status(thm)],[c_0_168,c_0_209]) ).
cnf(c_0_217,plain,
( holdsAt(waterLevel(n3),plus(n1,esk6_3(n0,filling,n3)))
| holdsAt(waterLevel(n3),n3) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_210]),c_0_51]),c_0_181]) ).
cnf(c_0_218,plain,
( esk6_3(n0,filling,n3) = n2
| esk6_3(n0,filling,n3) = n1
| esk6_3(n0,filling,n3) = n0
| holdsAt(waterLevel(n3),n3) ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_219,plain,
( n3 = n1
| holdsAt(waterLevel(n2),n2)
| less(n0,esk8_3(n0,n1,spilling)) ),
inference(spm,[status(thm)],[c_0_213,c_0_196]) ).
cnf(c_0_220,plain,
( esk8_3(n0,n1,spilling) = n0
| n3 = n1
| holdsAt(waterLevel(n2),n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_214]),c_0_144]) ).
cnf(c_0_221,plain,
( holdsAt(waterLevel(n3),X1)
| X1 = n0
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_222,plain,
( n3 = n1
| n2 = n0
| holdsAt(filling,n3)
| happens(esk4_2(filling,n1),n1)
| happens(overflow,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_215]),c_0_112]) ).
cnf(c_0_223,plain,
( X1 = n1
| ~ holdsAt(waterLevel(X1),n1) ),
inference(spm,[status(thm)],[c_0_152,c_0_164]) ).
cnf(c_0_224,plain,
( holdsAt(waterLevel(n3),n3)
| ~ holdsAt(filling,plus(n1,esk6_3(n0,filling,n3))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_181]),c_0_51]) ).
cnf(c_0_225,plain,
( esk6_3(n0,filling,n3) = n0
| esk6_3(n0,filling,n3) = n1
| holdsAt(waterLevel(n3),n3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_172])]) ).
cnf(c_0_226,plain,
( n3 = n1
| holdsAt(waterLevel(n2),n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_156]) ).
cnf(c_0_227,plain,
( n2 = n0
| n3 = n1
| n0 = n1
| holdsAt(filling,n3)
| happens(overflow,n2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223]) ).
fof(c_0_228,negated_conjecture,
~ happens(overflow,n3),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[overflow_3])]) ).
cnf(c_0_229,plain,
( esk6_3(n0,filling,n3) = n1
| holdsAt(waterLevel(n3),n3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_58]),c_0_66])]) ).
cnf(c_0_230,plain,
( happens(X2,X1)
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| X2 != overflow ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_231,plain,
( n3 = n1
| X1 = n2
| ~ holdsAt(waterLevel(X1),n2) ),
inference(spm,[status(thm)],[c_0_152,c_0_226]) ).
cnf(c_0_232,plain,
( n0 = n1
| n3 = n1
| n2 = n0
| holdsAt(waterLevel(n3),n2)
| holdsAt(filling,n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_227]),c_0_103]) ).
fof(c_0_233,negated_conjecture,
~ happens(overflow,n3),
inference(fof_nnf,[status(thm)],[c_0_228]) ).
cnf(c_0_234,plain,
( holdsAt(waterLevel(n3),n3)
| ~ holdsAt(filling,n2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_229]),c_0_67]) ).
cnf(c_0_235,plain,
( happens(overflow,X1)
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1) ),
inference(er,[status(thm)],[c_0_230]) ).
cnf(c_0_236,plain,
( n2 = n0
| n0 = n1
| n2 = n3
| n3 = n1
| holdsAt(filling,n3) ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_237,negated_conjecture,
~ happens(overflow,n3),
inference(split_conjunct,[status(thm)],[c_0_233]) ).
cnf(c_0_238,plain,
( n3 = n1
| holdsAt(waterLevel(n3),n3) ),
inference(spm,[status(thm)],[c_0_234,c_0_171]) ).
cnf(c_0_239,plain,
less(n2,n3),
inference(spm,[status(thm)],[c_0_115,c_0_54]) ).
cnf(c_0_240,plain,
( n3 = n1
| n2 = n3
| n0 = n1
| n2 = n0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]),c_0_238]) ).
cnf(c_0_241,plain,
( n2 = n0
| n0 = n1
| n3 = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_156]) ).
cnf(c_0_242,plain,
less(n1,n2),
inference(spm,[status(thm)],[c_0_76,c_0_54]) ).
cnf(c_0_243,plain,
( n0 = n1
| n3 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_241]),c_0_58])]) ).
cnf(c_0_244,plain,
~ less(n2,n1),
inference(spm,[status(thm)],[c_0_182,c_0_242]) ).
cnf(c_0_245,plain,
n0 = n1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_243]),c_0_244]) ).
cnf(c_0_246,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_245]),c_0_156]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR004+1 : TPTP v8.2.0. Bugfixed v3.1.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n029.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 : 300
% 0.13/0.34 % DateTime : Sun May 19 01:37:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.47 Running first-order model finding
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.82/2.49 # Version: 3.1.0
% 15.82/2.49 # Preprocessing class: FSLSSMSMSSSNFFN.
% 15.82/2.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.82/2.49 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 15.82/2.49 # Starting new_bool_3 with 300s (1) cores
% 15.82/2.49 # Starting new_bool_1 with 300s (1) cores
% 15.82/2.49 # Starting sh5l with 300s (1) cores
% 15.82/2.49 # sh5l with pid 7623 completed with status 0
% 15.82/2.49 # Result found by sh5l
% 15.82/2.49 # Preprocessing class: FSLSSMSMSSSNFFN.
% 15.82/2.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.82/2.49 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 15.82/2.49 # Starting new_bool_3 with 300s (1) cores
% 15.82/2.49 # Starting new_bool_1 with 300s (1) cores
% 15.82/2.49 # Starting sh5l with 300s (1) cores
% 15.82/2.49 # SinE strategy is gf500_gu_R04_F100_L20000
% 15.82/2.49 # Search class: FGHSF-FSLM32-SFFFFFNN
% 15.82/2.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 15.82/2.49 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 163s (1) cores
% 15.82/2.49 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with pid 7631 completed with status 0
% 15.82/2.49 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 15.82/2.49 # Preprocessing class: FSLSSMSMSSSNFFN.
% 15.82/2.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.82/2.49 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 15.82/2.49 # Starting new_bool_3 with 300s (1) cores
% 15.82/2.49 # Starting new_bool_1 with 300s (1) cores
% 15.82/2.49 # Starting sh5l with 300s (1) cores
% 15.82/2.49 # SinE strategy is gf500_gu_R04_F100_L20000
% 15.82/2.49 # Search class: FGHSF-FSLM32-SFFFFFNN
% 15.82/2.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 15.82/2.49 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 163s (1) cores
% 15.82/2.49 # Preprocessing time : 0.003 s
% 15.82/2.49 # Presaturation interreduction done
% 15.82/2.49
% 15.82/2.49 # Proof found!
% 15.82/2.49 # SZS status Theorem
% 15.82/2.49 # SZS output start CNFRefutation
% See solution above
% 15.82/2.49 # Parsed axioms : 55
% 15.82/2.49 # Removed by relevancy pruning/SinE : 0
% 15.82/2.49 # Initial clauses : 137
% 15.82/2.49 # Removed in clause preprocessing : 1
% 15.82/2.49 # Initial clauses in saturation : 136
% 15.82/2.49 # Processed clauses : 27842
% 15.82/2.49 # ...of these trivial : 75
% 15.82/2.49 # ...subsumed : 21770
% 15.82/2.49 # ...remaining for further processing : 5997
% 15.82/2.49 # Other redundant clauses eliminated : 20
% 15.82/2.49 # Clauses deleted for lack of memory : 0
% 15.82/2.49 # Backward-subsumed : 541
% 15.82/2.49 # Backward-rewritten : 1285
% 15.82/2.49 # Generated clauses : 100845
% 15.82/2.49 # ...of the previous two non-redundant : 82506
% 15.82/2.49 # ...aggressively subsumed : 0
% 15.82/2.49 # Contextual simplify-reflections : 186
% 15.82/2.49 # Paramodulations : 100645
% 15.82/2.49 # Factorizations : 124
% 15.82/2.49 # NegExts : 0
% 15.82/2.49 # Equation resolutions : 84
% 15.82/2.49 # Disequality decompositions : 0
% 15.82/2.49 # Total rewrite steps : 26463
% 15.82/2.49 # ...of those cached : 26225
% 15.82/2.49 # Propositional unsat checks : 1
% 15.82/2.49 # Propositional check models : 1
% 15.82/2.49 # Propositional check unsatisfiable : 0
% 15.82/2.49 # Propositional clauses : 0
% 15.82/2.49 # Propositional clauses after purity: 0
% 15.82/2.49 # Propositional unsat core size : 0
% 15.82/2.49 # Propositional preprocessing time : 0.000
% 15.82/2.49 # Propositional encoding time : 0.016
% 15.82/2.49 # Propositional solver time : 0.011
% 15.82/2.49 # Success case prop preproc time : 0.000
% 15.82/2.49 # Success case prop encoding time : 0.000
% 15.82/2.49 # Success case prop solver time : 0.000
% 15.82/2.49 # Current number of processed clauses : 4043
% 15.82/2.49 # Positive orientable unit clauses : 102
% 15.82/2.49 # Positive unorientable unit clauses: 1
% 15.82/2.49 # Negative unit clauses : 45
% 15.82/2.49 # Non-unit-clauses : 3895
% 15.82/2.49 # Current number of unprocessed clauses: 52335
% 15.82/2.49 # ...number of literals in the above : 230539
% 15.82/2.49 # Current number of archived formulas : 0
% 15.82/2.49 # Current number of archived clauses : 1942
% 15.82/2.49 # Clause-clause subsumption calls (NU) : 1741135
% 15.82/2.49 # Rec. Clause-clause subsumption calls : 613805
% 15.82/2.49 # Non-unit clause-clause subsumptions : 21680
% 15.82/2.49 # Unit Clause-clause subsumption calls : 2700
% 15.82/2.49 # Rewrite failures with RHS unbound : 0
% 15.82/2.49 # BW rewrite match attempts : 136
% 15.82/2.49 # BW rewrite match successes : 66
% 15.82/2.49 # Condensation attempts : 0
% 15.82/2.49 # Condensation successes : 0
% 15.82/2.49 # Termbank termtop insertions : 1811191
% 15.82/2.49 # Search garbage collected termcells : 1494
% 15.82/2.49
% 15.82/2.49 # -------------------------------------------------
% 15.82/2.49 # User time : 1.943 s
% 15.82/2.49 # System time : 0.032 s
% 15.82/2.49 # Total time : 1.974 s
% 15.82/2.49 # Maximum resident set size: 2172 pages
% 15.82/2.49
% 15.82/2.49 # -------------------------------------------------
% 15.82/2.49 # User time : 1.946 s
% 15.82/2.49 # System time : 0.033 s
% 15.82/2.49 # Total time : 1.979 s
% 15.82/2.49 # Maximum resident set size: 1756 pages
% 15.82/2.49 % E---3.1 exiting
%------------------------------------------------------------------------------