%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR013+1 : TPTP v9.2.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:13:52 PM UTC 2026
% Result : Theorem 4.39s 3.24s
% Output : CNFRefutation 4.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 33
% Syntax : Number of formulae : 186 ( 52 unt; 0 def)
% Number of atoms : 727 ( 265 equ)
% Maximal formula atoms : 194 ( 3 avg)
% Number of connectives : 818 ( 277 ~; 399 |; 117 &)
% ( 14 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-3 aty)
% Number of variables : 344 ( 20 sgn 132 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(nothing_terminates_filling_2,conjecture,
~ ? [X4] :
( happens(X4,n2)
& terminates(X4,filling,n2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nothing_terminates_filling_2) ).
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(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(less2,axiom,
! [X12] :
( less(X12,n2)
<=> less_or_equal(X12,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
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(less1,axiom,
! [X12] :
( less(X12,n1)
<=> less_or_equal(X12,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
fof(less0,axiom,
~ ? [X12] : less(X12,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
fof(less_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(less4,axiom,
! [X12] :
( less(X12,n4)
<=> less_or_equal(X12,n3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less4) ).
fof(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(less3,axiom,
! [X12] :
( less(X12,n3)
<=> less_or_equal(X12,n2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
fof(overflow_not_tapOn,axiom,
overflow != tapOn,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',overflow_not_tapOn) ).
fof(plus1_2,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).
fof(plus1_1,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
fof(change_of_waterLevel,axiom,
! [X10,X5,X11,X7] :
( ( holdsAt(waterLevel(X10),X5)
& X11 = plus(X10,X7) )
=> trajectory(filling,X5,waterLevel(X11),X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).
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(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(keep_not_holding,axiom,
! [X2,X5] :
( ( ~ holdsAt(X2,X5)
& ~ releasedAt(X2,plus(X5,n1))
& ~ ? [X4] :
( happens(X4,X5)
& initiates(X4,X2,X5) ) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_not_holding) ).
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(plus0_2,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_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(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(filling_not_waterLevel,axiom,
! [X12] : filling != waterLevel(X12),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
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(waterLevel_0,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).
fof(not_released_filling_0,hypothesis,
~ releasedAt(filling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_released_filling_0) ).
fof(not_filling_0,hypothesis,
~ holdsAt(filling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_filling_0) ).
fof(c_0_32,plain,
! [X169,X170] :
( ( holdsAt(waterLevel(n3),X170)
| X169 = tapOn
| ~ happens(X169,X170) )
& ( holdsAt(filling,X170)
| X169 = tapOn
| ~ happens(X169,X170) )
& ( X169 = overflow
| X169 = tapOn
| ~ happens(X169,X170) )
& ( holdsAt(waterLevel(n3),X170)
| X170 = n0
| ~ happens(X169,X170) )
& ( holdsAt(filling,X170)
| X170 = n0
| ~ happens(X169,X170) )
& ( X169 = overflow
| X170 = n0
| ~ happens(X169,X170) )
& ( X169 != tapOn
| X170 != n0
| happens(X169,X170) )
& ( ~ holdsAt(waterLevel(n3),X170)
| ~ holdsAt(filling,X170)
| X169 != overflow
| happens(X169,X170) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])]) ).
fof(c_0_33,plain,
! [X101,X102,X103,X106,X107,X108,X109,X110] :
( ( happens(esk1_3(X101,X102,X103),esk2_3(X101,X102,X103))
| ~ stoppedIn(X101,X102,X103) )
& ( less(X101,esk2_3(X101,X102,X103))
| ~ stoppedIn(X101,X102,X103) )
& ( less(esk2_3(X101,X102,X103),X103)
| ~ stoppedIn(X101,X102,X103) )
& ( terminates(esk1_3(X101,X102,X103),X102,esk2_3(X101,X102,X103))
| ~ stoppedIn(X101,X102,X103) )
& ( ~ happens(X109,X110)
| ~ less(X106,X110)
| ~ less(X110,X108)
| ~ terminates(X109,X107,X110)
| stoppedIn(X106,X107,X108) ) ),
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])])])])])]) ).
fof(c_0_34,plain,
! [X158,X159,X160] :
( ( X158 = overflow
| X158 = tapOff
| ~ terminates(X158,X159,X160) )
& ( X159 = filling
| X158 = tapOff
| ~ terminates(X158,X159,X160) )
& ( X158 = overflow
| X159 = filling
| ~ terminates(X158,X159,X160) )
& ( X159 = filling
| X159 = filling
| ~ terminates(X158,X159,X160) )
& ( X158 != tapOff
| X159 != filling
| terminates(X158,X159,X160) )
& ( X158 != overflow
| X159 != filling
| terminates(X158,X159,X160) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[terminates_all_defn])])]) ).
cnf(c_0_35,plain,
( X1 = overflow
| X1 = tapOn
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_36,plain,
( happens(esk1_3(X1,X2,X3),esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,plain,
( X1 = overflow
| X1 = tapOff
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,plain,
( terminates(esk1_3(X1,X2,X3),X2,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_39,negated_conjecture,
~ ~ ? [X4] :
( happens(X4,n2)
& terminates(X4,filling,n2) ),
inference(assume_negation,[status(cth)],[nothing_terminates_filling_2]) ).
cnf(c_0_40,plain,
( terminates(X1,X2,X3)
| X1 != overflow
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
( esk1_3(X1,X2,X3) = overflow
| esk1_3(X1,X2,X3) = tapOn
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,plain,
( esk1_3(X1,X2,X3) = tapOff
| esk1_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[tapOff_not_overflow]) ).
cnf(c_0_44,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[tapOff_not_tapOn]) ).
fof(c_0_45,plain,
! [X184,X185] :
( ( ~ less_or_equal(X184,X185)
| less(X184,X185)
| X184 = X185 )
& ( ~ less(X184,X185)
| less_or_equal(X184,X185) )
& ( X184 != X185
| less_or_equal(X184,X185) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_or_equal])])]) ).
fof(c_0_46,plain,
! [X188] :
( ( ~ less(X188,n2)
| less_or_equal(X188,n1) )
& ( ~ less_or_equal(X188,n1)
| less(X188,n2) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less2])]) ).
fof(c_0_47,negated_conjecture,
( happens(esk10_0,n2)
& terminates(esk10_0,filling,n2) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
cnf(c_0_48,plain,
( stoppedIn(X3,X5,X4)
| ~ happens(X1,X2)
| ~ less(X3,X2)
| ~ less(X2,X4)
| ~ terminates(X1,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,plain,
terminates(overflow,filling,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_40])]) ).
cnf(c_0_50,plain,
( esk1_3(X1,X2,X3) = overflow
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]) ).
fof(c_0_51,plain,
! [X4,X5,X2] :
( ( happens(X4,X5)
& terminates(X4,X2,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[happens_terminates_not_holds]) ).
fof(c_0_52,plain,
! [X187] :
( ( ~ less(X187,n1)
| less_or_equal(X187,n0) )
& ( ~ less_or_equal(X187,n0)
| less(X187,n1) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])]) ).
fof(c_0_53,plain,
! [X186] : ~ less(X186,n0),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])]) ).
cnf(c_0_54,plain,
( less(X1,X2)
| X1 = X2
| ~ less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_55,plain,
( less_or_equal(X1,n1)
| ~ less(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_56,negated_conjecture,
happens(esk10_0,n2),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,negated_conjecture,
terminates(esk10_0,filling,n2),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_58,plain,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
inference(fof_simplification,[status(thm)],[less_property]) ).
fof(c_0_59,plain,
! [X190] :
( ( ~ less(X190,n4)
| less_or_equal(X190,n3) )
& ( ~ less_or_equal(X190,n3)
| less(X190,n4) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less4])]) ).
cnf(c_0_60,plain,
( stoppedIn(X1,filling,X2)
| ~ less(X1,X3)
| ~ less(X3,X2)
| ~ happens(overflow,X3) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_61,plain,
( happens(overflow,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_50]) ).
fof(c_0_62,plain,
! [X146,X147,X148] :
( ~ happens(X146,X147)
| ~ terminates(X146,X148,X147)
| ~ holdsAt(X148,plus(X147,n1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])]) ).
cnf(c_0_63,plain,
( less_or_equal(X1,n0)
| ~ less(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_64,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_65,plain,
( X1 = n1
| less(X1,n1)
| ~ less(X1,n2) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_66,plain,
( less(esk2_3(X1,X2,X3),X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_67,negated_conjecture,
( esk10_0 = overflow
| esk10_0 = tapOn ),
inference(spm,[status(thm)],[c_0_35,c_0_56]) ).
cnf(c_0_68,negated_conjecture,
( esk10_0 = tapOff
| esk10_0 = overflow ),
inference(spm,[status(thm)],[c_0_37,c_0_57]) ).
fof(c_0_69,plain,
! [X196,X197] :
( ( ~ less(X197,X196)
| ~ less(X196,X197) )
& ( X197 != X196
| ~ less(X196,X197) )
& ( less(X197,X196)
| X197 = X196
| less(X196,X197) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])]) ).
cnf(c_0_70,plain,
( less_or_equal(X1,n3)
| ~ less(X1,n4) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_71,plain,
( stoppedIn(X1,filling,X2)
| ~ less(X1,esk2_3(X3,X4,X5))
| ~ less(esk2_3(X3,X4,X5),X2)
| ~ stoppedIn(X3,X4,X5) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_72,plain,
( less(X1,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_73,plain,
( less(X1,n4)
| ~ less_or_equal(X1,n3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_74,plain,
( less_or_equal(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_75,plain,
( ~ happens(X1,X2)
| ~ terminates(X1,X3,X2)
| ~ holdsAt(X3,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_76,plain,
! [X182,X183] : plus(X182,X183) = plus(X183,X182),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
cnf(c_0_77,plain,
( X1 = n0
| ~ less(X1,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_63]),c_0_64]) ).
cnf(c_0_78,plain,
( esk2_3(X1,X2,n2) = n1
| less(esk2_3(X1,X2,n2),n1)
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_79,negated_conjecture,
esk10_0 = overflow,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_43]),c_0_44]) ).
cnf(c_0_80,plain,
( less(X1,X2)
| X1 = X2
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_81,plain,
( X1 = n3
| less(X1,n3)
| ~ less(X1,n4) ),
inference(spm,[status(thm)],[c_0_54,c_0_70]) ).
cnf(c_0_82,plain,
( stoppedIn(X1,filling,X2)
| ~ less(esk2_3(X1,X3,X4),X2)
| ~ stoppedIn(X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_83,plain,
( less(X1,n4)
| ~ less(X1,n3) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_84,plain,
! [X189] :
( ( ~ less(X189,n3)
| less_or_equal(X189,n2) )
& ( ~ less_or_equal(X189,n2)
| less(X189,n3) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less3])]) ).
cnf(c_0_85,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_86,plain,
( ~ holdsAt(filling,plus(X1,n1))
| ~ happens(overflow,X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_49]) ).
cnf(c_0_87,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_88,plain,
( esk2_3(X1,X2,n2) = n1
| esk2_3(X1,X2,n2) = n0
| ~ stoppedIn(X1,X2,n2) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_89,plain,
( holdsAt(filling,X1)
| X2 = tapOn
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_90,negated_conjecture,
happens(overflow,n2),
inference(rw,[status(thm)],[c_0_56,c_0_79]) ).
cnf(c_0_91,plain,
overflow != tapOn,
inference(split_conjunct,[status(thm)],[overflow_not_tapOn]) ).
cnf(c_0_92,plain,
( stoppedIn(X1,X2,X3)
| ~ less(X1,esk2_3(X4,X2,X5))
| ~ less(esk2_3(X4,X2,X5),X3)
| ~ stoppedIn(X4,X2,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_38]),c_0_36]) ).
cnf(c_0_93,plain,
( X1 = n0
| less(n0,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_80]) ).
cnf(c_0_94,plain,
( esk2_3(X1,X2,n4) = n3
| less(esk2_3(X1,X2,n4),n3)
| ~ stoppedIn(X1,X2,n4) ),
inference(spm,[status(thm)],[c_0_81,c_0_66]) ).
cnf(c_0_95,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[plus1_2]) ).
cnf(c_0_96,plain,
( stoppedIn(X1,filling,n4)
| ~ less(esk2_3(X1,X2,X3),n3)
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_97,plain,
( less(X1,n3)
| ~ less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_98,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_85]) ).
cnf(c_0_99,plain,
( less_or_equal(X1,n2)
| ~ less(X1,n3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_100,plain,
( ~ holdsAt(filling,plus(n1,esk2_3(X1,X2,X3)))
| ~ stoppedIn(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_61]),c_0_87]) ).
cnf(c_0_101,plain,
( esk2_3(X1,X2,n2) = n1
| ~ stoppedIn(X1,X2,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_88]),c_0_64]) ).
cnf(c_0_102,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[plus1_1]) ).
cnf(c_0_103,negated_conjecture,
holdsAt(filling,n2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
cnf(c_0_104,plain,
( esk2_3(X1,X2,X3) = n0
| stoppedIn(n0,X2,X4)
| ~ less(esk2_3(X1,X2,X3),X4)
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_105,plain,
( holdsAt(filling,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_61]),c_0_91]) ).
cnf(c_0_106,plain,
( esk2_3(X1,X2,n4) = n3
| stoppedIn(X1,filling,n3)
| ~ stoppedIn(X1,X2,n4) ),
inference(spm,[status(thm)],[c_0_82,c_0_94]) ).
cnf(c_0_107,negated_conjecture,
~ holdsAt(filling,n3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_57]),c_0_87]),c_0_95]),c_0_56])]) ).
cnf(c_0_108,plain,
( stoppedIn(X1,filling,n4)
| ~ stoppedIn(X1,X2,n3) ),
inference(spm,[status(thm)],[c_0_96,c_0_66]) ).
cnf(c_0_109,negated_conjecture,
( stoppedIn(X1,filling,X2)
| ~ less(X1,n2)
| ~ less(n2,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_90]) ).
cnf(c_0_110,plain,
less(n2,n3),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
fof(c_0_111,plain,
! [X171,X172,X173,X174] :
( ~ holdsAt(waterLevel(X171),X172)
| X173 != plus(X171,X174)
| trajectory(filling,X172,waterLevel(X173),X174) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])]) ).
cnf(c_0_112,plain,
( X1 = n2
| less(X1,n2)
| ~ less(X1,n3) ),
inference(spm,[status(thm)],[c_0_54,c_0_99]) ).
cnf(c_0_113,plain,
~ stoppedIn(X1,X2,n2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103])]) ).
cnf(c_0_114,plain,
( esk2_3(X1,X2,X3) = n0
| stoppedIn(n0,X2,X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_66]) ).
cnf(c_0_115,plain,
( stoppedIn(X1,filling,n3)
| ~ stoppedIn(X1,X2,n4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]) ).
cnf(c_0_116,negated_conjecture,
( stoppedIn(X1,filling,n4)
| ~ less(X1,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110])]) ).
fof(c_0_117,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_118,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_119,plain,
( trajectory(filling,X2,waterLevel(X3),X4)
| ~ holdsAt(waterLevel(X1),X2)
| X3 != plus(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_120,plain,
( esk2_3(X1,X2,X3) = n2
| ~ less(esk2_3(X1,X2,X3),n3)
| ~ stoppedIn(X1,X2,X3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_112]),c_0_113]) ).
cnf(c_0_121,plain,
( stoppedIn(n0,X1,X2)
| ~ stoppedIn(X3,X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_114]),c_0_64]) ).
cnf(c_0_122,negated_conjecture,
( stoppedIn(X1,filling,n3)
| ~ less(X1,n2) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_123,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_124,plain,
! [X2,X5] :
( ( ~ releasedAt(X2,X5)
& ~ ? [X4] :
( happens(X4,X5)
& releases(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[keep_not_released]) ).
fof(c_0_125,plain,
! [X2,X5] :
( ( ~ holdsAt(X2,X5)
& ~ releasedAt(X2,plus(X5,n1))
& ~ ? [X4] :
( happens(X4,X5)
& initiates(X4,X2,X5) ) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[keep_not_holding]) ).
fof(c_0_126,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_117]) ).
fof(c_0_127,plain,
! [X121,X122,X123,X124,X125] :
( ~ happens(X121,X122)
| ~ initiates(X121,X123,X122)
| ~ less(n0,X125)
| ~ trajectory(X123,X122,X124,X125)
| stoppedIn(X122,X123,plus(X122,X125))
| holdsAt(X124,plus(X122,X125)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_118])]) ).
cnf(c_0_128,plain,
( trajectory(filling,X1,waterLevel(plus(X2,X3)),X3)
| ~ holdsAt(waterLevel(X2),X1) ),
inference(er,[status(thm)],[c_0_119]) ).
cnf(c_0_129,plain,
plus(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[plus0_2]) ).
cnf(c_0_130,plain,
( esk2_3(X1,X2,n3) = n2
| ~ stoppedIn(X1,X2,n3) ),
inference(spm,[status(thm)],[c_0_120,c_0_66]) ).
cnf(c_0_131,negated_conjecture,
( stoppedIn(n0,filling,n3)
| ~ less(X1,n2) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_132,plain,
less(n1,n2),
inference(spm,[status(thm)],[c_0_123,c_0_98]) ).
fof(c_0_133,plain,
! [X161,X162,X163,X165,X166,X167,X168] :
( ( X161 = tapOn
| ~ releases(X161,X162,X163) )
& ( X162 = waterLevel(esk9_2(X161,X162))
| ~ releases(X161,X162,X163) )
& ( X165 != tapOn
| X166 != waterLevel(X167)
| releases(X165,X166,X168) ) ),
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])])])])])]) ).
fof(c_0_134,plain,
! [X140,X141] :
( ( happens(esk8_2(X140,X141),X141)
| releasedAt(X140,X141)
| ~ releasedAt(X140,plus(X141,n1)) )
& ( releases(esk8_2(X140,X141),X140,X141)
| releasedAt(X140,X141)
| ~ releasedAt(X140,plus(X141,n1)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_124])])])]) ).
fof(c_0_135,plain,
! [X134,X135] :
( ( happens(esk6_2(X134,X135),X135)
| holdsAt(X134,X135)
| releasedAt(X134,plus(X135,n1))
| ~ holdsAt(X134,plus(X135,n1)) )
& ( initiates(esk6_2(X134,X135),X134,X135)
| holdsAt(X134,X135)
| releasedAt(X134,plus(X135,n1))
| ~ holdsAt(X134,plus(X135,n1)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_125])])])]) ).
fof(c_0_136,plain,
! [X143,X144,X145] :
( ~ happens(X143,X144)
| ~ initiates(X143,X145,X144)
| holdsAt(X145,plus(X144,n1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_holds])]) ).
fof(c_0_137,plain,
! [X155,X156,X157] :
( ( ~ initiates(X155,X156,X157)
| epred1_3(X156,X155,X157) )
& ( ~ epred1_3(X156,X155,X157)
| initiates(X155,X156,X157) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_126])]) ).
fof(c_0_138,plain,
! [X200,X201,X202,X205,X206,X207,X208,X209] :
( ( holdsAt(waterLevel(esk12_3(X200,X201,X202)),X200)
| holdsAt(waterLevel(esk11_3(X200,X201,X202)),X200)
| X201 = overflow
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( X201 = overflow
| holdsAt(waterLevel(esk11_3(X200,X201,X202)),X200)
| X201 = overflow
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( X202 = waterLevel(esk12_3(X200,X201,X202))
| holdsAt(waterLevel(esk11_3(X200,X201,X202)),X200)
| X201 = overflow
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( holdsAt(waterLevel(esk12_3(X200,X201,X202)),X200)
| X201 = tapOff
| X201 = overflow
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( X201 = overflow
| X201 = tapOff
| X201 = overflow
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( X202 = waterLevel(esk12_3(X200,X201,X202))
| X201 = tapOff
| X201 = overflow
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( holdsAt(waterLevel(esk12_3(X200,X201,X202)),X200)
| X202 = waterLevel(esk11_3(X200,X201,X202))
| X201 = overflow
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( X201 = overflow
| X202 = waterLevel(esk11_3(X200,X201,X202))
| X201 = overflow
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( X202 = waterLevel(esk12_3(X200,X201,X202))
| X202 = waterLevel(esk11_3(X200,X201,X202))
| X201 = overflow
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( holdsAt(waterLevel(esk12_3(X200,X201,X202)),X200)
| holdsAt(waterLevel(esk11_3(X200,X201,X202)),X200)
| X202 = spilling
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( X201 = overflow
| holdsAt(waterLevel(esk11_3(X200,X201,X202)),X200)
| X202 = spilling
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( X202 = waterLevel(esk12_3(X200,X201,X202))
| holdsAt(waterLevel(esk11_3(X200,X201,X202)),X200)
| X202 = spilling
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( holdsAt(waterLevel(esk12_3(X200,X201,X202)),X200)
| X201 = tapOff
| X202 = spilling
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( X201 = overflow
| X201 = tapOff
| X202 = spilling
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( X202 = waterLevel(esk12_3(X200,X201,X202))
| X201 = tapOff
| X202 = spilling
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( holdsAt(waterLevel(esk12_3(X200,X201,X202)),X200)
| X202 = waterLevel(esk11_3(X200,X201,X202))
| X202 = spilling
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( X201 = overflow
| X202 = waterLevel(esk11_3(X200,X201,X202))
| X202 = spilling
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( X202 = waterLevel(esk12_3(X200,X201,X202))
| X202 = waterLevel(esk11_3(X200,X201,X202))
| X202 = spilling
| X201 = tapOn
| ~ epred1_3(X202,X201,X200) )
& ( holdsAt(waterLevel(esk12_3(X200,X201,X202)),X200)
| holdsAt(waterLevel(esk11_3(X200,X201,X202)),X200)
| X201 = overflow
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( X201 = overflow
| holdsAt(waterLevel(esk11_3(X200,X201,X202)),X200)
| X201 = overflow
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( X202 = waterLevel(esk12_3(X200,X201,X202))
| holdsAt(waterLevel(esk11_3(X200,X201,X202)),X200)
| X201 = overflow
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( holdsAt(waterLevel(esk12_3(X200,X201,X202)),X200)
| X201 = tapOff
| X201 = overflow
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( X201 = overflow
| X201 = tapOff
| X201 = overflow
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( X202 = waterLevel(esk12_3(X200,X201,X202))
| X201 = tapOff
| X201 = overflow
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( holdsAt(waterLevel(esk12_3(X200,X201,X202)),X200)
| X202 = waterLevel(esk11_3(X200,X201,X202))
| X201 = overflow
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( X201 = overflow
| X202 = waterLevel(esk11_3(X200,X201,X202))
| X201 = overflow
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( X202 = waterLevel(esk12_3(X200,X201,X202))
| X202 = waterLevel(esk11_3(X200,X201,X202))
| X201 = overflow
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( holdsAt(waterLevel(esk12_3(X200,X201,X202)),X200)
| holdsAt(waterLevel(esk11_3(X200,X201,X202)),X200)
| X202 = spilling
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( X201 = overflow
| holdsAt(waterLevel(esk11_3(X200,X201,X202)),X200)
| X202 = spilling
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( X202 = waterLevel(esk12_3(X200,X201,X202))
| holdsAt(waterLevel(esk11_3(X200,X201,X202)),X200)
| X202 = spilling
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( holdsAt(waterLevel(esk12_3(X200,X201,X202)),X200)
| X201 = tapOff
| X202 = spilling
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( X201 = overflow
| X201 = tapOff
| X202 = spilling
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( X202 = waterLevel(esk12_3(X200,X201,X202))
| X201 = tapOff
| X202 = spilling
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( holdsAt(waterLevel(esk12_3(X200,X201,X202)),X200)
| X202 = waterLevel(esk11_3(X200,X201,X202))
| X202 = spilling
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( X201 = overflow
| X202 = waterLevel(esk11_3(X200,X201,X202))
| X202 = spilling
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( X202 = waterLevel(esk12_3(X200,X201,X202))
| X202 = waterLevel(esk11_3(X200,X201,X202))
| X202 = spilling
| X202 = filling
| ~ epred1_3(X202,X201,X200) )
& ( X206 != tapOn
| X207 != filling
| epred1_3(X207,X206,X205) )
& ( X206 != overflow
| X207 != spilling
| epred1_3(X207,X206,X205) )
& ( ~ holdsAt(waterLevel(X208),X205)
| X206 != tapOff
| X207 != waterLevel(X208)
| epred1_3(X207,X206,X205) )
& ( ~ holdsAt(waterLevel(X209),X205)
| X206 != overflow
| X207 != waterLevel(X209)
| epred1_3(X207,X206,X205) ) ),
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_117])])])])])]) ).
cnf(c_0_139,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_127]) ).
cnf(c_0_140,plain,
( trajectory(filling,X1,waterLevel(n2),n2)
| ~ holdsAt(waterLevel(n0),X1) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_141,plain,
( less(X1,n2)
| ~ stoppedIn(X1,X2,n3) ),
inference(spm,[status(thm)],[c_0_72,c_0_130]) ).
cnf(c_0_142,negated_conjecture,
stoppedIn(n0,filling,n3),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
fof(c_0_143,plain,
! [X178] : filling != waterLevel(X178),
inference(variable_rename,[status(thm)],[filling_not_waterLevel]) ).
cnf(c_0_144,plain,
( X1 = waterLevel(esk9_2(X2,X1))
| ~ releases(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_145,plain,
( releases(esk8_2(X1,X2),X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_146,plain,
( happens(esk6_2(X1,X2),X2)
| holdsAt(X1,X2)
| releasedAt(X1,plus(X2,n1))
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_147,plain,
( holdsAt(X3,plus(X2,n1))
| ~ happens(X1,X2)
| ~ initiates(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_148,plain,
( initiates(X2,X1,X3)
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_149,plain,
( epred1_3(X2,X1,X3)
| X1 != tapOn
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_150,plain,
( esk2_3(X1,X2,n4) = n3
| esk2_3(X1,X2,n4) = n2
| ~ stoppedIn(X1,X2,n4) ),
inference(spm,[status(thm)],[c_0_120,c_0_94]) ).
cnf(c_0_151,plain,
( holdsAt(waterLevel(n2),plus(X1,n2))
| stoppedIn(X1,filling,plus(X1,n2))
| ~ holdsAt(waterLevel(n0),X1)
| ~ initiates(X2,filling,X1)
| ~ less(n0,n2)
| ~ happens(X2,X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_152,negated_conjecture,
less(n0,n2),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_153,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_154,plain,
( waterLevel(esk9_2(esk8_2(X1,X2),X1)) = X1
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_155,plain,
( initiates(esk6_2(X1,X2),X1,X2)
| holdsAt(X1,X2)
| releasedAt(X1,plus(X2,n1))
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_156,plain,
( esk6_2(X1,X2) = tapOn
| releasedAt(X1,plus(X2,n1))
| holdsAt(filling,X2)
| holdsAt(X1,X2)
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_89,c_0_146]) ).
cnf(c_0_157,plain,
( holdsAt(X1,plus(X2,n1))
| ~ epred1_3(X1,X3,X2)
| ~ happens(X3,X2) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_158,plain,
epred1_3(filling,tapOn,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_149])]) ).
cnf(c_0_159,plain,
( happens(X1,X2)
| X1 != tapOn
| X2 != n0 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_160,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
cnf(c_0_161,plain,
( esk2_3(X1,X2,n4) = n3
| n2 != n3
| ~ stoppedIn(X1,X2,n4) ),
inference(ef,[status(thm)],[c_0_150]) ).
fof(c_0_162,plain,
! [X175,X176,X177] :
( ~ holdsAt(waterLevel(X176),X175)
| ~ holdsAt(waterLevel(X177),X175)
| X176 = X177 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[same_waterLevel])]) ).
cnf(c_0_163,plain,
( holdsAt(waterLevel(n3),X1)
| X2 = tapOn
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_164,plain,
( holdsAt(waterLevel(n2),plus(X1,n2))
| stoppedIn(X1,filling,plus(X1,n2))
| ~ holdsAt(waterLevel(n0),X1)
| ~ initiates(X2,filling,X1)
| ~ happens(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_152])]) ).
cnf(c_0_165,hypothesis,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[waterLevel_0]) ).
cnf(c_0_166,plain,
( releasedAt(filling,X1)
| ~ releasedAt(filling,plus(X1,n1)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154])]) ).
cnf(c_0_167,plain,
( releasedAt(X1,plus(X2,n1))
| holdsAt(filling,X2)
| holdsAt(X1,X2)
| initiates(tapOn,X1,X2)
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_168,plain,
( holdsAt(filling,plus(X1,n1))
| ~ happens(tapOn,X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_169,plain,
happens(tapOn,n0),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_159])]) ).
cnf(c_0_170,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_160,c_0_87]) ).
fof(c_0_171,hypothesis,
~ releasedAt(filling,n0),
inference(fof_simplification,[status(thm)],[not_released_filling_0]) ).
fof(c_0_172,hypothesis,
~ holdsAt(filling,n0),
inference(fof_simplification,[status(thm)],[not_filling_0]) ).
cnf(c_0_173,plain,
( n2 != n3
| ~ stoppedIn(X1,X2,n4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_161]),c_0_107]) ).
cnf(c_0_174,plain,
( X1 = X3
| ~ holdsAt(waterLevel(X1),X2)
| ~ holdsAt(waterLevel(X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_175,negated_conjecture,
holdsAt(waterLevel(n3),n2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_90]),c_0_91]) ).
cnf(c_0_176,hypothesis,
( holdsAt(waterLevel(n2),n2)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_129]),c_0_129]),c_0_113]) ).
cnf(c_0_177,plain,
( releasedAt(filling,X1)
| holdsAt(filling,X1)
| initiates(tapOn,filling,X1)
| ~ holdsAt(filling,plus(X1,n1)) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_178,plain,
holdsAt(filling,n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_87]),c_0_170]) ).
cnf(c_0_179,hypothesis,
~ releasedAt(filling,n0),
inference(split_conjunct,[status(thm)],[c_0_171]) ).
cnf(c_0_180,hypothesis,
~ holdsAt(filling,n0),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_181,negated_conjecture,
( n2 != n3
| ~ less(X1,n2) ),
inference(spm,[status(thm)],[c_0_173,c_0_116]) ).
cnf(c_0_182,negated_conjecture,
( X1 = n3
| ~ holdsAt(waterLevel(X1),n2) ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_183,hypothesis,
holdsAt(waterLevel(n2),n2),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_169]),c_0_87]),c_0_170]),c_0_178])]),c_0_179]),c_0_180]) ).
cnf(c_0_184,negated_conjecture,
n2 != n3,
inference(spm,[status(thm)],[c_0_181,c_0_132]) ).
cnf(c_0_185,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR013+1 : TPTP v9.2.1. Bugfixed v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n025.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 16:26:58 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 4.39/3.24 % Version : CSE_E---1.7
% 4.39/3.24 % Problem : theBenchmark.p
% 4.39/3.24 % SZS status Theorem for theBenchmark.p
% 4.39/3.24 % SZS output start CNFRefutation
% See solution above
% 4.39/3.26 % Total time : 2.373s
%------------------------------------------------------------------------------