%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR011+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:15:53 PM UTC 2026
% Result : Theorem 2.87s 0.85s
% Output : CNFRefutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 30
% Syntax : Number of formulae : 189 ( 61 unt; 0 def)
% Number of atoms : 714 ( 268 equ)
% Maximal formula atoms : 194 ( 3 avg)
% Number of connectives : 800 ( 275 ~; 394 |; 108 &)
% ( 12 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 317 ( 17 sgn 124 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(less_or_equal,axiom,
! [X12,X13] :
( less_or_equal(X12,X13)
<=> ( X12 = X13
| less(X12,X13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).
fof(less2,axiom,
! [X12] :
( less(X12,n2)
<=> less_or_equal(X12,n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).
fof(less3,axiom,
! [X12] :
( less(X12,n3)
<=> less_or_equal(X12,n2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3) ).
fof(less1,axiom,
! [X12] :
( less(X12,n1)
<=> less_or_equal(X12,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).
fof(less0,axiom,
~ ? [X12] : less(X12,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less0) ).
fof(happens_all_defn,axiom,
! [X4,X5] :
( happens(X4,X5)
<=> ( ( X4 = overflow
& holdsAt(filling,X5)
& holdsAt(waterLevel(n3),X5) )
| ( X5 = n0
& X4 = tapOn ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
fof(stoppedin_defn,axiom,
! [X1,X2,X3] :
( stoppedIn(X1,X2,X3)
<=> ? [X4,X5] :
( terminates(X4,X2,X5)
& less(X5,X3)
& less(X1,X5)
& happens(X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
fof(terminates_all_defn,axiom,
! [X4,X2,X5] :
( terminates(X4,X2,X5)
<=> ( ( X2 = filling
& X4 = overflow )
| ( X2 = filling
& X4 = tapOff ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',terminates_all_defn) ).
fof(tapOff_not_tapOn,axiom,
tapOff != tapOn,
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',tapOff_not_tapOn) ).
fof(tapOff_not_overflow,axiom,
tapOff != overflow,
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',tapOff_not_overflow) ).
fof(filling_not_waterLevel,axiom,
! [X12] : filling != waterLevel(X12),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).
fof(filling_not_spilling,axiom,
filling != spilling,
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',filling_not_spilling) ).
fof(initiates_all_defn,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> ( ? [X9] :
( X2 = waterLevel(X9)
& X4 = overflow
& holdsAt(waterLevel(X9),X5) )
| ? [X9] :
( X2 = waterLevel(X9)
& X4 = tapOff
& holdsAt(waterLevel(X9),X5) )
| ( X2 = spilling
& X4 = overflow )
| ( X2 = filling
& X4 = tapOn ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).
fof(keep_not_holding,axiom,
! [X2,X5] :
( ( ~ ? [X4] :
( initiates(X4,X2,X5)
& happens(X4,X5) )
& ~ releasedAt(X2,plus(X5,n1))
& ~ holdsAt(X2,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',keep_not_holding) ).
fof(happens_not_released,axiom,
! [X4,X5,X2] :
( ( ( terminates(X4,X2,X5)
| initiates(X4,X2,X5) )
& happens(X4,X5) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_not_released) ).
fof(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(not_stopped_filling_0_3,conjecture,
~ stoppedIn(n0,filling,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_stopped_filling_0_3) ).
fof(happens_holds,axiom,
! [X4,X5,X2] :
( ( initiates(X4,X2,X5)
& happens(X4,X5) )
=> holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_holds) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
fof(overflow_not_tapOn,axiom,
overflow != tapOn,
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',overflow_not_tapOn) ).
fof(happens_terminates_not_holds,axiom,
! [X4,X5,X2] :
( ( terminates(X4,X2,X5)
& happens(X4,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).
fof(change_of_waterLevel,axiom,
! [X10,X5,X11,X7] :
( ( X11 = plus(X10,X7)
& holdsAt(waterLevel(X10),X5) )
=> trajectory(filling,X5,waterLevel(X11),X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).
fof(change_holding,axiom,
! [X4,X5,X2,X6,X7] :
( ( ~ stoppedIn(X5,X2,plus(X5,X7))
& trajectory(X2,X5,X6,X7)
& less(n0,X7)
& initiates(X4,X2,X5)
& happens(X4,X5) )
=> holdsAt(X6,plus(X5,X7)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',change_holding) ).
fof(not_filling_0,hypothesis,
~ holdsAt(filling,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_filling_0) ).
fof(plus0_2,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_2) ).
fof(plus1_1,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).
fof(same_waterLevel,axiom,
! [X5,X10,X11] :
( ( holdsAt(waterLevel(X11),X5)
& holdsAt(waterLevel(X10),X5) )
=> X10 = X11 ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',same_waterLevel) ).
fof(waterLevel_0,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_0) ).
fof(less_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( X13 != X12
& ~ less(X13,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
fof(c_0_29,plain,
! [X75,X76] :
( ( less_or_equal(X75,X76)
| X75 != X76 )
& ( less_or_equal(X75,X76)
| ~ less(X75,X76) )
& ( X75 = X76
| less(X75,X76)
| ~ less_or_equal(X75,X76) ) ),
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_30,plain,
! [X74] :
( ( less(X74,n2)
| ~ less_or_equal(X74,n1) )
& ( less_or_equal(X74,n1)
| ~ less(X74,n2) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less2])])]) ).
fof(c_0_31,plain,
! [X53] :
( ( less(X53,n3)
| ~ less_or_equal(X53,n2) )
& ( less_or_equal(X53,n2)
| ~ less(X53,n3) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less3])])]) ).
fof(c_0_32,plain,
! [X56] :
( ( less(X56,n1)
| ~ less_or_equal(X56,n0) )
& ( less_or_equal(X56,n0)
| ~ less(X56,n1) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])])]) ).
fof(c_0_33,plain,
! [X18] : ~ less(X18,n0),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])])]) ).
fof(c_0_34,plain,
! [X62,X63] :
( ( happens(X62,X63)
| X62 != overflow
| ~ holdsAt(filling,X63)
| ~ holdsAt(waterLevel(n3),X63) )
& ( happens(X62,X63)
| X63 != n0
| X62 != tapOn )
& ( ~ happens(X62,X63)
| X63 = n0
| X62 = overflow )
& ( ~ happens(X62,X63)
| X63 = n0
| holdsAt(filling,X63) )
& ( ~ happens(X62,X63)
| X63 = n0
| holdsAt(waterLevel(n3),X63) )
& ( ~ happens(X62,X63)
| X62 = tapOn
| X62 = overflow )
& ( ~ happens(X62,X63)
| X62 = tapOn
| holdsAt(filling,X63) )
& ( ~ happens(X62,X63)
| X62 = tapOn
| holdsAt(waterLevel(n3),X63) ) ),
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_35,plain,
! [X38,X39,X40,X43,X44,X45,X46,X47] :
( ( stoppedIn(X43,X44,X45)
| ~ terminates(X46,X44,X47)
| ~ less(X47,X45)
| ~ less(X43,X47)
| ~ happens(X46,X47) )
& ( ~ stoppedIn(X38,X39,X40)
| terminates(esk4_3(X38,X39,X40),X39,esk5_3(X38,X39,X40)) )
& ( ~ stoppedIn(X38,X39,X40)
| less(esk5_3(X38,X39,X40),X40) )
& ( ~ stoppedIn(X38,X39,X40)
| less(X38,esk5_3(X38,X39,X40)) )
& ( ~ stoppedIn(X38,X39,X40)
| happens(esk4_3(X38,X39,X40),esk5_3(X38,X39,X40)) ) ),
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])])])])])])]) ).
fof(c_0_36,plain,
! [X59,X60,X61] :
( ( terminates(X59,X60,X61)
| X60 != filling
| X59 != overflow )
& ( terminates(X59,X60,X61)
| X60 != filling
| X59 != tapOff )
& ( ~ terminates(X59,X60,X61)
| X60 = filling
| X60 = filling )
& ( ~ terminates(X59,X60,X61)
| X60 = filling
| X59 = overflow )
& ( ~ terminates(X59,X60,X61)
| X59 = tapOff
| X60 = filling )
& ( ~ terminates(X59,X60,X61)
| X59 = tapOff
| X59 = overflow ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[terminates_all_defn])])])]) ).
fof(c_0_37,plain,
tapOff != tapOn,
inference(fof_simplification,[status(thm)],[tapOff_not_tapOn]) ).
fof(c_0_38,plain,
tapOff != overflow,
inference(fof_simplification,[status(thm)],[tapOff_not_overflow]) ).
cnf(c_0_39,plain,
( ~ less_or_equal(X1,X2)
| X1 = X2
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,plain,
( ~ less(X1,n2)
| less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,plain,
( ~ less(X1,n3)
| less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,plain,
( ~ less(X1,n1)
| less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,plain,
( ~ happens(X1,X2)
| X1 = tapOn
| X1 = overflow ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,plain,
( ~ stoppedIn(X1,X2,X3)
| happens(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_46,plain,
( ~ terminates(X1,X2,X3)
| X1 = tapOff
| X1 = overflow ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_47,plain,
( ~ stoppedIn(X1,X2,X3)
| terminates(esk4_3(X1,X2,X3),X2,esk5_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_48,plain,
tapOff != tapOn,
inference(fof_nnf,[status(thm)],[c_0_37]) ).
fof(c_0_49,plain,
tapOff != overflow,
inference(fof_nnf,[status(thm)],[c_0_38]) ).
cnf(c_0_50,plain,
( ~ terminates(X1,X5,X2)
| ~ less(X2,X4)
| ~ less(X3,X2)
| ~ happens(X1,X2)
| stoppedIn(X3,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_51,plain,
( ~ less(X1,n2)
| less(X1,n1)
| X1 = n1 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_52,plain,
( ~ less(X1,n3)
| less(X1,n2)
| X1 = n2 ),
inference(spm,[status(thm)],[c_0_39,c_0_41]) ).
cnf(c_0_53,plain,
( ~ less(X1,n1)
| X1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_42]),c_0_43]) ).
cnf(c_0_54,plain,
( ~ stoppedIn(X1,X2,X3)
| less(esk5_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_55,plain,
! [X5,X4,X2] :
( epred1_3(X2,X4,X5)
<=> ( ? [X9] :
( X2 = waterLevel(X9)
& X4 = overflow
& holdsAt(waterLevel(X9),X5) )
| ? [X9] :
( X2 = waterLevel(X9)
& X4 = tapOff
& holdsAt(waterLevel(X9),X5) )
| ( X2 = spilling
& X4 = overflow )
| ( X2 = filling
& X4 = tapOn ) ) ),
introduced(definition) ).
cnf(c_0_56,plain,
( ~ stoppedIn(X1,X2,X3)
| esk4_3(X1,X2,X3) = overflow
| esk4_3(X1,X2,X3) = tapOn ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_57,plain,
( ~ stoppedIn(X1,X2,X3)
| esk4_3(X1,X2,X3) = tapOff
| esk4_3(X1,X2,X3) = overflow ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_58,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_60,plain,
( ~ stoppedIn(X4,X2,X5)
| ~ less(esk5_3(X4,X2,X5),X3)
| ~ less(X1,esk5_3(X4,X2,X5))
| stoppedIn(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_47]),c_0_45]) ).
cnf(c_0_61,plain,
( ~ stoppedIn(X1,X2,X3)
| less(X1,esk5_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_62,plain,
( ~ less(X1,n3)
| less(X1,n1)
| X1 = n1
| X1 = n2 ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_63,plain,
( ~ stoppedIn(X1,X2,n1)
| esk5_3(X1,X2,n1) = n0 ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_64,plain,
! [X12] : filling != waterLevel(X12),
inference(fof_simplification,[status(thm)],[filling_not_waterLevel]) ).
fof(c_0_65,plain,
filling != spilling,
inference(fof_simplification,[status(thm)],[filling_not_spilling]) ).
fof(c_0_66,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_55]) ).
fof(c_0_67,plain,
! [X2,X5] :
( ( ~ ? [X4] :
( initiates(X4,X2,X5)
& happens(X4,X5) )
& ~ releasedAt(X2,plus(X5,n1))
& ~ holdsAt(X2,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[keep_not_holding]) ).
fof(c_0_68,plain,
! [X4,X5,X2] :
( ( ( terminates(X4,X2,X5)
| initiates(X4,X2,X5) )
& happens(X4,X5) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[happens_not_released]) ).
cnf(c_0_69,plain,
( ~ stoppedIn(X1,X2,X3)
| esk4_3(X1,X2,X3) = overflow ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59]) ).
cnf(c_0_70,plain,
( ~ stoppedIn(X1,X2,X4)
| ~ less(esk5_3(X1,X2,X4),X3)
| stoppedIn(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_71,plain,
( ~ stoppedIn(X1,X2,n3)
| less(esk5_3(X1,X2,n3),n1)
| esk5_3(X1,X2,n3) = n2
| esk5_3(X1,X2,n3) = n1 ),
inference(spm,[status(thm)],[c_0_62,c_0_54]) ).
cnf(c_0_72,plain,
~ stoppedIn(X1,X2,n1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_63]),c_0_43]) ).
fof(c_0_73,plain,
! [X19] : filling != waterLevel(X19),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_64])]) ).
fof(c_0_74,plain,
! [X77,X78,X79,X82,X83,X84,X85,X86] :
( ( epred1_3(X84,X83,X82)
| X84 != waterLevel(X86)
| X83 != overflow
| ~ holdsAt(waterLevel(X86),X82) )
& ( epred1_3(X84,X83,X82)
| X84 != waterLevel(X85)
| X83 != tapOff
| ~ holdsAt(waterLevel(X85),X82) )
& ( epred1_3(X84,X83,X82)
| X84 != spilling
| X83 != overflow )
& ( epred1_3(X84,X83,X82)
| X84 != filling
| X83 != tapOn )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X79 = spilling
| X79 = waterLevel(esk6_3(X77,X78,X79))
| X79 = waterLevel(esk7_3(X77,X78,X79)) )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X79 = spilling
| X79 = waterLevel(esk6_3(X77,X78,X79))
| X78 = overflow )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X79 = spilling
| X79 = waterLevel(esk6_3(X77,X78,X79))
| holdsAt(waterLevel(esk7_3(X77,X78,X79)),X77) )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X79 = spilling
| X78 = tapOff
| X79 = waterLevel(esk7_3(X77,X78,X79)) )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X79 = spilling
| X78 = tapOff
| X78 = overflow )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X79 = spilling
| X78 = tapOff
| holdsAt(waterLevel(esk7_3(X77,X78,X79)),X77) )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X79 = spilling
| holdsAt(waterLevel(esk6_3(X77,X78,X79)),X77)
| X79 = waterLevel(esk7_3(X77,X78,X79)) )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X79 = spilling
| holdsAt(waterLevel(esk6_3(X77,X78,X79)),X77)
| X78 = overflow )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X79 = spilling
| holdsAt(waterLevel(esk6_3(X77,X78,X79)),X77)
| holdsAt(waterLevel(esk7_3(X77,X78,X79)),X77) )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X78 = overflow
| X79 = waterLevel(esk6_3(X77,X78,X79))
| X79 = waterLevel(esk7_3(X77,X78,X79)) )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X78 = overflow
| X79 = waterLevel(esk6_3(X77,X78,X79))
| X78 = overflow )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X78 = overflow
| X79 = waterLevel(esk6_3(X77,X78,X79))
| holdsAt(waterLevel(esk7_3(X77,X78,X79)),X77) )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X78 = overflow
| X78 = tapOff
| X79 = waterLevel(esk7_3(X77,X78,X79)) )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X78 = overflow
| X78 = tapOff
| X78 = overflow )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X78 = overflow
| X78 = tapOff
| holdsAt(waterLevel(esk7_3(X77,X78,X79)),X77) )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X78 = overflow
| holdsAt(waterLevel(esk6_3(X77,X78,X79)),X77)
| X79 = waterLevel(esk7_3(X77,X78,X79)) )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X78 = overflow
| holdsAt(waterLevel(esk6_3(X77,X78,X79)),X77)
| X78 = overflow )
& ( ~ epred1_3(X79,X78,X77)
| X79 = filling
| X78 = overflow
| holdsAt(waterLevel(esk6_3(X77,X78,X79)),X77)
| holdsAt(waterLevel(esk7_3(X77,X78,X79)),X77) )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X79 = spilling
| X79 = waterLevel(esk6_3(X77,X78,X79))
| X79 = waterLevel(esk7_3(X77,X78,X79)) )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X79 = spilling
| X79 = waterLevel(esk6_3(X77,X78,X79))
| X78 = overflow )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X79 = spilling
| X79 = waterLevel(esk6_3(X77,X78,X79))
| holdsAt(waterLevel(esk7_3(X77,X78,X79)),X77) )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X79 = spilling
| X78 = tapOff
| X79 = waterLevel(esk7_3(X77,X78,X79)) )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X79 = spilling
| X78 = tapOff
| X78 = overflow )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X79 = spilling
| X78 = tapOff
| holdsAt(waterLevel(esk7_3(X77,X78,X79)),X77) )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X79 = spilling
| holdsAt(waterLevel(esk6_3(X77,X78,X79)),X77)
| X79 = waterLevel(esk7_3(X77,X78,X79)) )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X79 = spilling
| holdsAt(waterLevel(esk6_3(X77,X78,X79)),X77)
| X78 = overflow )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X79 = spilling
| holdsAt(waterLevel(esk6_3(X77,X78,X79)),X77)
| holdsAt(waterLevel(esk7_3(X77,X78,X79)),X77) )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X78 = overflow
| X79 = waterLevel(esk6_3(X77,X78,X79))
| X79 = waterLevel(esk7_3(X77,X78,X79)) )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X78 = overflow
| X79 = waterLevel(esk6_3(X77,X78,X79))
| X78 = overflow )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X78 = overflow
| X79 = waterLevel(esk6_3(X77,X78,X79))
| holdsAt(waterLevel(esk7_3(X77,X78,X79)),X77) )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X78 = overflow
| X78 = tapOff
| X79 = waterLevel(esk7_3(X77,X78,X79)) )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X78 = overflow
| X78 = tapOff
| X78 = overflow )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X78 = overflow
| X78 = tapOff
| holdsAt(waterLevel(esk7_3(X77,X78,X79)),X77) )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X78 = overflow
| holdsAt(waterLevel(esk6_3(X77,X78,X79)),X77)
| X79 = waterLevel(esk7_3(X77,X78,X79)) )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X78 = overflow
| holdsAt(waterLevel(esk6_3(X77,X78,X79)),X77)
| X78 = overflow )
& ( ~ epred1_3(X79,X78,X77)
| X78 = tapOn
| X78 = overflow
| holdsAt(waterLevel(esk6_3(X77,X78,X79)),X77)
| holdsAt(waterLevel(esk7_3(X77,X78,X79)),X77) ) ),
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_55])])])])])])]) ).
fof(c_0_75,plain,
filling != spilling,
inference(fof_nnf,[status(thm)],[c_0_65]) ).
fof(c_0_76,plain,
! [X22,X23,X24] :
( ( initiates(X22,X23,X24)
| ~ epred1_3(X23,X22,X24) )
& ( epred1_3(X23,X22,X24)
| ~ initiates(X22,X23,X24) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])]) ).
fof(c_0_77,plain,
! [X29,X30] :
( ( ~ holdsAt(X29,plus(X30,n1))
| releasedAt(X29,plus(X30,n1))
| holdsAt(X29,X30)
| initiates(esk2_2(X29,X30),X29,X30) )
& ( ~ holdsAt(X29,plus(X30,n1))
| releasedAt(X29,plus(X30,n1))
| holdsAt(X29,X30)
| happens(esk2_2(X29,X30),X30) ) ),
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_67])])])])]) ).
fof(c_0_78,plain,
! [X35,X36,X37] :
( ( ~ releasedAt(X37,plus(X36,n1))
| ~ happens(X35,X36)
| ~ terminates(X35,X37,X36) )
& ( ~ releasedAt(X37,plus(X36,n1))
| ~ happens(X35,X36)
| ~ initiates(X35,X37,X36) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])])]) ).
fof(c_0_79,plain,
! [X54,X55] : plus(X54,X55) = plus(X55,X54),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
cnf(c_0_80,plain,
( ~ stoppedIn(X1,X2,X3)
| happens(overflow,esk5_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_45,c_0_69]) ).
cnf(c_0_81,plain,
( ~ stoppedIn(X1,X2,n3)
| esk5_3(X1,X2,n3) = n1
| esk5_3(X1,X2,n3) = n2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
fof(c_0_82,negated_conjecture,
~ ~ stoppedIn(n0,filling,n3),
inference(assume_negation,[status(cth)],[not_stopped_filling_0_3]) ).
cnf(c_0_83,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_84,plain,
( ~ epred1_3(X1,X3,X2)
| X3 = tapOn
| X1 = spilling
| X1 = waterLevel(esk6_3(X2,X3,X1))
| X1 = waterLevel(esk7_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_85,plain,
filling != spilling,
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_86,plain,
( ~ initiates(X1,X2,X3)
| epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_87,plain,
( ~ holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| holdsAt(X1,X2)
| initiates(esk2_2(X1,X2),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
fof(c_0_88,plain,
! [X64,X65,X66] :
( holdsAt(X66,plus(X65,n1))
| ~ initiates(X64,X66,X65)
| ~ happens(X64,X65) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_holds])])]) ).
cnf(c_0_89,plain,
( ~ releasedAt(X2,plus(X3,n1))
| ~ happens(X1,X3)
| ~ initiates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_90,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_91,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
cnf(c_0_92,plain,
( ~ stoppedIn(X1,X2,n3)
| happens(overflow,n2)
| esk5_3(X1,X2,n3) = n1 ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
fof(c_0_93,negated_conjecture,
stoppedIn(n0,filling,n3),
inference(fof_simplification,[status(thm)],[c_0_82]) ).
fof(c_0_94,plain,
overflow != tapOn,
inference(fof_simplification,[status(thm)],[overflow_not_tapOn]) ).
fof(c_0_95,plain,
! [X4,X5,X2] :
( ( terminates(X4,X2,X5)
& happens(X4,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[happens_terminates_not_holds]) ).
fof(c_0_96,plain,
! [X70,X71,X72,X73] :
( trajectory(filling,X71,waterLevel(X72),X73)
| X72 != plus(X70,X73)
| ~ holdsAt(waterLevel(X70),X71) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])])]) ).
cnf(c_0_97,plain,
( ~ less_or_equal(X1,n1)
| less(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_98,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_99,plain,
( ~ epred1_3(filling,X1,X2)
| X1 = tapOn ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84])]),c_0_83]),c_0_85]) ).
cnf(c_0_100,plain,
( ~ holdsAt(X1,plus(X2,n1))
| holdsAt(X1,X2)
| releasedAt(X1,plus(X2,n1))
| epred1_3(X1,esk2_2(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_101,plain,
( ~ initiates(X1,X3,X2)
| ~ happens(X1,X2)
| holdsAt(X3,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_102,plain,
( ~ epred1_3(X1,X2,X3)
| initiates(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_103,plain,
( X2 != filling
| X1 != tapOn
| epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_104,plain,
( ~ happens(X3,X2)
| ~ initiates(X3,X1,X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_105,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_91,c_0_90]) ).
cnf(c_0_106,plain,
( X4 != waterLevel(X1)
| X3 != overflow
| ~ holdsAt(waterLevel(X1),X2)
| epred1_3(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_107,plain,
( ~ stoppedIn(X1,X2,n3)
| happens(overflow,n1)
| happens(overflow,n2) ),
inference(spm,[status(thm)],[c_0_80,c_0_92]) ).
cnf(c_0_108,negated_conjecture,
stoppedIn(n0,filling,n3),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
fof(c_0_109,plain,
overflow != tapOn,
inference(fof_nnf,[status(thm)],[c_0_94]) ).
fof(c_0_110,plain,
! [X67,X68,X69] :
( ~ holdsAt(X69,plus(X68,n1))
| ~ terminates(X67,X69,X68)
| ~ happens(X67,X68) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])])]) ).
cnf(c_0_111,plain,
( X2 != filling
| X1 != overflow
| terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_112,plain,
! [X4,X5,X2,X6,X7] :
( ( ~ stoppedIn(X5,X2,plus(X5,X7))
& trajectory(X2,X5,X6,X7)
& less(n0,X7)
& initiates(X4,X2,X5)
& happens(X4,X5) )
=> holdsAt(X6,plus(X5,X7)) ),
inference(fof_simplification,[status(thm)],[change_holding]) ).
cnf(c_0_113,plain,
( X3 != plus(X1,X4)
| ~ holdsAt(waterLevel(X1),X2)
| trajectory(filling,X2,waterLevel(X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_114,plain,
( ~ stoppedIn(X1,X2,n3)
| less(X1,n2)
| esk5_3(X1,X2,n3) = n1 ),
inference(spm,[status(thm)],[c_0_61,c_0_81]) ).
cnf(c_0_115,plain,
( ~ less(X1,n1)
| less(X1,n2) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_116,plain,
( ~ holdsAt(filling,plus(X1,n1))
| holdsAt(filling,X1)
| releasedAt(filling,plus(X1,n1))
| esk2_2(filling,X1) = tapOn ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_117,plain,
( ~ happens(X3,X2)
| ~ epred1_3(X1,X3,X2)
| holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_118,plain,
epred1_3(filling,tapOn,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_103])]) ).
cnf(c_0_119,plain,
( X2 != n0
| X1 != tapOn
| happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_120,plain,
( ~ happens(X2,n0)
| ~ initiates(X2,X1,n0)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
fof(c_0_121,hypothesis,
~ holdsAt(filling,n0),
inference(fof_simplification,[status(thm)],[not_filling_0]) ).
cnf(c_0_122,plain,
( ~ holdsAt(waterLevel(X1),X2)
| epred1_3(waterLevel(X1),overflow,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_106])]) ).
cnf(c_0_123,plain,
( ~ happens(X2,X1)
| X2 = tapOn
| holdsAt(waterLevel(n3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_124,negated_conjecture,
( happens(overflow,n2)
| happens(overflow,n1) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_125,plain,
overflow != tapOn,
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_126,plain,
( ~ happens(X2,X1)
| X2 = tapOn
| holdsAt(filling,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_127,plain,
( ~ holdsAt(X3,plus(X2,n1))
| ~ terminates(X1,X3,X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_128,plain,
terminates(overflow,filling,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_111])]) ).
cnf(c_0_129,plain,
( ~ stoppedIn(X1,X2,n2)
| less(esk5_3(X1,X2,n2),n1)
| esk5_3(X1,X2,n2) = n1 ),
inference(spm,[status(thm)],[c_0_51,c_0_54]) ).
fof(c_0_130,plain,
! [X48,X49,X50,X51,X52] :
( holdsAt(X51,plus(X49,X52))
| stoppedIn(X49,X50,plus(X49,X52))
| ~ trajectory(X50,X49,X51,X52)
| ~ less(n0,X52)
| ~ initiates(X48,X50,X49)
| ~ happens(X48,X49) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])])]) ).
cnf(c_0_131,plain,
( ~ holdsAt(waterLevel(X2),X1)
| trajectory(filling,X1,waterLevel(plus(X2,X3)),X3) ),
inference(er,[status(thm)],[c_0_113]) ).
cnf(c_0_132,plain,
plus(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[plus0_2]) ).
cnf(c_0_133,plain,
( ~ stoppedIn(X1,X2,n3)
| less(X1,n2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_114]),c_0_115]) ).
cnf(c_0_134,plain,
( ~ holdsAt(filling,plus(X1,n1))
| initiates(tapOn,filling,X1)
| holdsAt(filling,X1)
| releasedAt(filling,plus(X1,n1)) ),
inference(spm,[status(thm)],[c_0_87,c_0_116]) ).
cnf(c_0_135,plain,
( ~ happens(tapOn,X1)
| holdsAt(filling,plus(X1,n1)) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_136,plain,
happens(tapOn,n0),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_119])]) ).
cnf(c_0_137,plain,
( ~ happens(X2,n0)
| ~ releasedAt(X1,n1)
| ~ epred1_3(X1,X2,n0) ),
inference(spm,[status(thm)],[c_0_120,c_0_102]) ).
fof(c_0_138,hypothesis,
~ holdsAt(filling,n0),
inference(fof_nnf,[status(thm)],[c_0_121]) ).
cnf(c_0_139,plain,
( ~ happens(overflow,X2)
| ~ holdsAt(waterLevel(X1),X2)
| holdsAt(waterLevel(X1),plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_117,c_0_122]) ).
cnf(c_0_140,negated_conjecture,
( happens(overflow,n1)
| holdsAt(waterLevel(n3),n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]) ).
cnf(c_0_141,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[plus1_1]) ).
cnf(c_0_142,negated_conjecture,
( happens(overflow,n1)
| holdsAt(filling,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_124]),c_0_125]) ).
cnf(c_0_143,plain,
( ~ happens(overflow,X1)
| ~ holdsAt(filling,plus(X1,n1)) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_144,plain,
( ~ stoppedIn(X1,X2,n2)
| esk5_3(X1,X2,n2) = n0
| esk5_3(X1,X2,n2) = n1 ),
inference(spm,[status(thm)],[c_0_53,c_0_129]) ).
cnf(c_0_145,plain,
( ~ trajectory(X3,X2,X5,X4)
| ~ less(n0,X4)
| ~ initiates(X1,X3,X2)
| ~ happens(X1,X2)
| holdsAt(X5,plus(X2,X4))
| stoppedIn(X2,X3,plus(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_146,plain,
( ~ holdsAt(waterLevel(n0),X1)
| trajectory(filling,X1,waterLevel(n2),n2) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_147,negated_conjecture,
less(n0,n2),
inference(spm,[status(thm)],[c_0_133,c_0_108]) ).
cnf(c_0_148,plain,
( ~ holdsAt(filling,plus(n1,X1))
| initiates(tapOn,filling,X1)
| holdsAt(filling,X1)
| releasedAt(filling,plus(n1,X1)) ),
inference(spm,[status(thm)],[c_0_134,c_0_90]) ).
cnf(c_0_149,plain,
holdsAt(filling,n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_90]),c_0_105]) ).
cnf(c_0_150,plain,
~ releasedAt(filling,n1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_118]),c_0_136])]) ).
cnf(c_0_151,hypothesis,
~ holdsAt(filling,n0),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
fof(c_0_152,plain,
! [X15,X16,X17] :
( X16 = X17
| ~ holdsAt(waterLevel(X17),X15)
| ~ holdsAt(waterLevel(X16),X15) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[same_waterLevel])])]) ).
cnf(c_0_153,plain,
( ~ holdsAt(waterLevel(X1),n1)
| holdsAt(waterLevel(X1),n2)
| holdsAt(waterLevel(n3),n2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]) ).
cnf(c_0_154,negated_conjecture,
( holdsAt(filling,n2)
| holdsAt(waterLevel(n3),n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_142]),c_0_125]) ).
cnf(c_0_155,negated_conjecture,
( ~ holdsAt(filling,n2)
| holdsAt(waterLevel(n3),n2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_140]),c_0_141]) ).
cnf(c_0_156,plain,
( ~ stoppedIn(X1,X2,X3)
| holdsAt(waterLevel(n3),esk5_3(X1,X2,X3)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_80]),c_0_125]) ).
cnf(c_0_157,plain,
( ~ stoppedIn(X1,X2,n2)
| esk5_3(X1,X2,n2) = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_144]),c_0_43]) ).
cnf(c_0_158,plain,
( ~ happens(X2,X1)
| ~ initiates(X2,filling,X1)
| ~ holdsAt(waterLevel(n0),X1)
| stoppedIn(X1,filling,plus(X1,n2))
| holdsAt(waterLevel(n2),plus(X1,n2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147])]) ).
cnf(c_0_159,plain,
initiates(tapOn,filling,n0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_105]),c_0_149])]),c_0_150]),c_0_151]) ).
cnf(c_0_160,hypothesis,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[waterLevel_0]) ).
cnf(c_0_161,plain,
( X1 != X2
| less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_162,plain,
( ~ holdsAt(waterLevel(X3),X2)
| ~ holdsAt(waterLevel(X1),X2)
| X1 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_163,negated_conjecture,
holdsAt(waterLevel(n3),n2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]) ).
cnf(c_0_164,plain,
( ~ stoppedIn(X1,X2,n2)
| holdsAt(waterLevel(n3),n1) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_165,plain,
( stoppedIn(n0,filling,n2)
| holdsAt(waterLevel(n2),n2) ),
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_158,c_0_159]),c_0_132]),c_0_132]),c_0_160]),c_0_136])]) ).
cnf(c_0_166,plain,
( ~ holdsAt(waterLevel(X3),X1)
| trajectory(filling,X1,waterLevel(plus(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_131,c_0_90]) ).
cnf(c_0_167,plain,
( ~ less_or_equal(X1,n0)
| less(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_168,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_161]) ).
cnf(c_0_169,negated_conjecture,
( ~ holdsAt(waterLevel(X1),n2)
| X1 = n3 ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_170,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(waterLevel(n2),n2) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_171,plain,
( ~ holdsAt(waterLevel(n0),X1)
| trajectory(filling,X1,waterLevel(n1),n1) ),
inference(spm,[status(thm)],[c_0_166,c_0_105]) ).
cnf(c_0_172,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
fof(c_0_173,plain,
! [X12,X13] :
( less(X12,X13)
<=> ( X13 != X12
& ~ less(X13,X12) ) ),
inference(fof_simplification,[status(thm)],[less_property]) ).
cnf(c_0_174,negated_conjecture,
( holdsAt(waterLevel(n3),n1)
| n2 = n3 ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_175,plain,
( ~ happens(X2,X1)
| ~ initiates(X2,filling,X1)
| ~ holdsAt(waterLevel(n0),X1)
| stoppedIn(X1,filling,plus(X1,n1))
| holdsAt(waterLevel(n1),plus(X1,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_171]),c_0_172])]) ).
fof(c_0_176,plain,
! [X57,X58] :
( ( less(X57,X58)
| X58 = X57
| less(X58,X57) )
& ( ~ less(X57,X58)
| X58 != X57 )
& ( ~ less(X57,X58)
| ~ less(X58,X57) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_173])])])]) ).
cnf(c_0_177,plain,
( ~ less_or_equal(X1,n2)
| less(X1,n3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_178,negated_conjecture,
( ~ holdsAt(waterLevel(X1),n1)
| X1 = n3
| n2 = n3 ),
inference(spm,[status(thm)],[c_0_162,c_0_174]) ).
cnf(c_0_179,plain,
holdsAt(waterLevel(n1),n1),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_159]),c_0_90]),c_0_105]),c_0_90]),c_0_105]),c_0_160]),c_0_136])]),c_0_72]) ).
cnf(c_0_180,plain,
( ~ less(X2,X1)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_181,plain,
( ~ less(X1,n2)
| less(X1,n3) ),
inference(spm,[status(thm)],[c_0_177,c_0_98]) ).
cnf(c_0_182,plain,
less(n1,n2),
inference(spm,[status(thm)],[c_0_97,c_0_168]) ).
cnf(c_0_183,plain,
less(n2,n3),
inference(spm,[status(thm)],[c_0_177,c_0_168]) ).
cnf(c_0_184,negated_conjecture,
( n2 = n3
| n3 = n1 ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_185,plain,
~ less(X1,X1),
inference(er,[status(thm)],[c_0_180]) ).
cnf(c_0_186,plain,
less(n1,n3),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_187,negated_conjecture,
n3 = n1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]) ).
cnf(c_0_188,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_187]),c_0_185]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR011+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n015.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 14:27:06 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.87/0.85 % Version: 3.5.1
% 2.87/0.85 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.87/0.85 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.87/0.85 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.87/0.85 % Starting new_bool_3 with 300s (1) cores
% 2.87/0.85 % Starting new_bool_1 with 300s (1) cores
% 2.87/0.85 % Starting sh5l with 300s (1) cores
% 2.87/0.85 % new_bool_3 with pid 1693433 completed with status 0
% 2.87/0.85 % Result found by new_bool_3
% 2.87/0.85 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.87/0.85 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.87/0.85 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.87/0.85 % Starting new_bool_3 with 300s (1) cores
% 2.87/0.85 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.87/0.85 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.87/0.85 % Search class: FGHSF-FFMM32-SFFFFFNN
% 2.87/0.85 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 2.87/0.85 % Starting SubtermCWHack with 28s (1) cores
% 2.87/0.85 % SubtermCWHack with pid 1693437 completed with status 0
% 2.87/0.85 % Result found by SubtermCWHack
% 2.87/0.85 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.87/0.85 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.87/0.85 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.87/0.85 % Starting new_bool_3 with 300s (1) cores
% 2.87/0.85 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.87/0.85 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.87/0.85 % Search class: FGHSF-FFMM32-SFFFFFNN
% 2.87/0.85 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 2.87/0.85 % Starting SubtermCWHack with 28s (1) cores
% 2.87/0.85 % Preprocessing time : 0.002 s
% 2.87/0.85
% 2.87/0.85 % Proof found!
% 2.87/0.85 % SZS status Theorem
% 2.87/0.85 % SZS output start CNFRefutation
% See solution above
% 2.87/0.85 % Parsed axioms : 55
% 2.87/0.85 % Removed by relevancy pruning/SinE : 15
% 2.87/0.85 % Initial clauses : 109
% 2.87/0.85 % Removed in clause preprocessing : 1
% 2.87/0.85 % Initial clauses in saturation : 108
% 2.87/0.85 % Processed clauses : 3736
% 2.87/0.85 % ...of these trivial : 24
% 2.87/0.85 % ...subsumed : 2582
% 2.87/0.85 % ...remaining for further processing : 1130
% 2.87/0.85 % Other redundant clauses eliminated : 77
% 2.87/0.85 % Clauses deleted for lack of memory : 0
% 2.87/0.85 % Backward-subsumed : 178
% 2.87/0.85 % Backward-rewritten : 329
% 2.87/0.85 % Generated clauses : 14914
% 2.87/0.85 % ...of the previous two non-redundant : 12645
% 2.87/0.85 % ...aggressively subsumed : 0
% 2.87/0.85 % Contextual simplify-reflections : 40
% 2.87/0.85 % Paramodulations : 14829
% 2.87/0.85 % Factorizations : 14
% 2.87/0.85 % NegExts : 0
% 2.87/0.85 % Equation resolutions : 78
% 2.87/0.85 % Disequality decompositions : 0
% 2.87/0.85 % Total rewrite steps : 5414
% 2.87/0.85 % ...of those cached : 5375
% 2.87/0.85 % Propositional unsat checks : 0
% 2.87/0.85 % Propositional check models : 0
% 2.87/0.85 % Propositional check unsatisfiable : 0
% 2.87/0.85 % Propositional clauses : 0
% 2.87/0.85 % Propositional clauses after purity: 0
% 2.87/0.85 % Propositional unsat core size : 0
% 2.87/0.85 % Propositional preprocessing time : 0.000
% 2.87/0.85 % Propositional encoding time : 0.000
% 2.87/0.85 % Propositional solver time : 0.000
% 2.87/0.85 % Success case prop preproc time : 0.000
% 2.87/0.85 % Success case prop encoding time : 0.000
% 2.87/0.85 % Success case prop solver time : 0.000
% 2.87/0.85 % Current number of processed clauses : 612
% 2.87/0.85 % Positive orientable unit clauses : 19
% 2.87/0.85 % Positive unorientable unit clauses: 1
% 2.87/0.85 % Negative unit clauses : 22
% 2.87/0.85 % Non-unit-clauses : 570
% 2.87/0.85 % Current number of unprocessed clauses: 8419
% 2.87/0.85 % ...number of literals in the above : 58418
% 2.87/0.85 % Current number of archived formulas : 0
% 2.87/0.85 % Current number of archived clauses : 507
% 2.87/0.85 % Clause-clause subsumption calls (NU) : 137606
% 2.87/0.85 % Rec. Clause-clause subsumption calls : 32165
% 2.87/0.85 % Non-unit clause-clause subsumptions : 1927
% 2.87/0.85 % Unit Clause-clause subsumption calls : 1743
% 2.87/0.85 % Rewrite failures with RHS unbound : 0
% 2.87/0.85 % BW rewrite match attempts : 16
% 2.87/0.85 % BW rewrite match successes : 15
% 2.87/0.85 % Condensation attempts : 0
% 2.87/0.85 % Condensation successes : 0
% 2.87/0.85 % Termbank termtop insertions : 226473
% 2.87/0.85 % Search garbage collected termcells : 1198
% 2.87/0.85
% 2.87/0.85 % -------------------------------------------------
% 2.87/0.85 % User time : 0.403 s
% 2.87/0.85 % System time : 0.011 s
% 2.87/0.85 % Total time : 0.414 s
% 2.87/0.85 % Maximum resident set size: 3948 pages
% 2.87/0.85
% 2.87/0.85 % -------------------------------------------------
% 2.87/0.85 % User time : 0.407 s
% 2.87/0.85 % System time : 0.015 s
% 2.87/0.85 % Total time : 0.422 s
% 2.87/0.85 % Maximum resident set size: 4608 pages
% 2.87/0.85 % E exiting
%------------------------------------------------------------------------------