%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR009+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 6.37s 1.47s
% Output : CNFRefutation 6.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 36
% Syntax : Number of formulae : 211 ( 62 unt; 0 def)
% Number of atoms : 808 ( 291 equ)
% Maximal formula atoms : 194 ( 3 avg)
% Number of connectives : 937 ( 340 ~; 448 |; 118 &)
% ( 16 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 5 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 9 con; 0-3 aty)
% Number of variables : 370 ( 28 sgn 148 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).
fof(happens_holds,axiom,
! [X4,X5,X2] :
( ( initiates(X4,X2,X5)
& happens(X4,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 = overflow
& holdsAt(filling,X5)
& holdsAt(waterLevel(n3),X5) )
| ( X5 = n0
& X4 = tapOn ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
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/sandbox/benchmark/Axioms/CSR001+0.ax',happens_not_released) ).
fof(filling_2,conjecture,
holdsAt(filling,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_2) ).
fof(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(keep_not_released,axiom,
! [X2,X5] :
( ( ~ ? [X4] :
( releases(X4,X2,X5)
& happens(X4,X5) )
& ~ releasedAt(X2,X5) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).
fof(keep_holding,axiom,
! [X2,X5] :
( ( ~ ? [X4] :
( terminates(X4,X2,X5)
& happens(X4,X5) )
& ~ releasedAt(X2,plus(X5,n1))
& holdsAt(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(plus1_1,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
fof(releases_all_defn,axiom,
! [X4,X2,X5] :
( releases(X4,X2,X5)
<=> ? [X9] :
( X2 = waterLevel(X9)
& X4 = tapOn ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',releases_all_defn) ).
fof(waterLevel_0,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).
fof(tapOff_not_tapOn,axiom,
tapOff != tapOn,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',tapOff_not_tapOn) ).
fof(tapOff_not_overflow,axiom,
tapOff != overflow,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',tapOff_not_overflow) ).
fof(happens_releases,axiom,
! [X4,X5,X2] :
( ( releases(X4,X2,X5)
& happens(X4,X5) )
=> releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_releases) ).
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/sandbox/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).
fof(keep_released,axiom,
! [X2,X5] :
( ( ~ ? [X4] :
( ( terminates(X4,X2,X5)
| initiates(X4,X2,X5) )
& happens(X4,X5) )
& releasedAt(X2,X5) )
=> releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_released) ).
fof(filling_not_waterLevel,axiom,
! [X12] : filling != waterLevel(X12),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).
fof(less_or_equal,axiom,
! [X12,X13] :
( less_or_equal(X12,X13)
<=> ( X12 = X13
| less(X12,X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
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(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/sandbox/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
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/sandbox/benchmark/Axioms/CSR001+0.ax',change_holding) ).
fof(not_released_filling_0,hypothesis,
~ releasedAt(filling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_released_filling_0) ).
fof(not_released_waterLevel_0,hypothesis,
! [X9] : ~ releasedAt(waterLevel(X9),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_released_waterLevel_0) ).
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/sandbox/benchmark/Axioms/CSR001+0.ax',keep_not_holding) ).
fof(not_filling_0,hypothesis,
~ holdsAt(filling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_filling_0) ).
fof(less3,axiom,
! [X12] :
( less(X12,n3)
<=> less_or_equal(X12,n2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
fof(less2,axiom,
! [X12] :
( less(X12,n2)
<=> less_or_equal(X12,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
fof(same_waterLevel,axiom,
! [X5,X10,X11] :
( ( holdsAt(waterLevel(X11),X5)
& holdsAt(waterLevel(X10),X5) )
=> X10 = X11 ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',same_waterLevel) ).
fof(less_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( X13 != X12
& ~ less(X13,X12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(c_0_31,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) ).
fof(c_0_32,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_31]) ).
fof(c_0_33,plain,
! [X56,X57,X58] :
( holdsAt(X58,plus(X57,n1))
| ~ initiates(X56,X58,X57)
| ~ happens(X56,X57) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_holds])])]) ).
fof(c_0_34,plain,
! [X68,X69,X70] :
( ( initiates(X68,X69,X70)
| ~ epred1_3(X69,X68,X70) )
& ( epred1_3(X69,X68,X70)
| ~ initiates(X68,X69,X70) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
cnf(c_0_35,plain,
( ~ initiates(X1,X3,X2)
| ~ happens(X1,X2)
| holdsAt(X3,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_36,plain,
( ~ epred1_3(X1,X2,X3)
| initiates(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_37,plain,
! [X112,X113,X114,X117,X118,X119,X120,X121] :
( ( epred1_3(X119,X118,X117)
| X119 != waterLevel(X121)
| X118 != overflow
| ~ holdsAt(waterLevel(X121),X117) )
& ( epred1_3(X119,X118,X117)
| X119 != waterLevel(X120)
| X118 != tapOff
| ~ holdsAt(waterLevel(X120),X117) )
& ( epred1_3(X119,X118,X117)
| X119 != spilling
| X118 != overflow )
& ( epred1_3(X119,X118,X117)
| X119 != filling
| X118 != tapOn )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X113 = tapOff
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X113 = tapOff
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X113 = tapOff
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X113 = tapOff
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X113 = tapOff
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X113 = tapOff
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X113 = tapOff
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X113 = tapOff
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X113 = tapOff
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X113 = tapOff
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X113 = tapOff
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X113 = tapOff
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) ) ),
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_31])])])])])])]) ).
cnf(c_0_38,plain,
( ~ happens(X3,X2)
| ~ epred1_3(X1,X3,X2)
| holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,plain,
( X2 != filling
| X1 != tapOn
| epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_40,plain,
! [X82,X83] :
( ( happens(X82,X83)
| X82 != overflow
| ~ holdsAt(filling,X83)
| ~ holdsAt(waterLevel(n3),X83) )
& ( happens(X82,X83)
| X83 != n0
| X82 != tapOn )
& ( ~ happens(X82,X83)
| X83 = n0
| X82 = overflow )
& ( ~ happens(X82,X83)
| X83 = n0
| holdsAt(filling,X83) )
& ( ~ happens(X82,X83)
| X83 = n0
| holdsAt(waterLevel(n3),X83) )
& ( ~ happens(X82,X83)
| X82 = tapOn
| X82 = overflow )
& ( ~ happens(X82,X83)
| X82 = tapOn
| holdsAt(filling,X83) )
& ( ~ happens(X82,X83)
| X82 = tapOn
| holdsAt(waterLevel(n3),X83) ) ),
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_41,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]) ).
fof(c_0_42,negated_conjecture,
~ holdsAt(filling,n2),
inference(assume_negation,[status(cth)],[filling_2]) ).
cnf(c_0_43,plain,
( ~ happens(X3,X2)
| X3 != tapOn
| X1 != filling
| holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
( X2 != n0
| X1 != tapOn
| happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_45,plain,
! [X65,X66,X67] :
( ( ~ releasedAt(X67,plus(X66,n1))
| ~ happens(X65,X66)
| ~ terminates(X65,X67,X66) )
& ( ~ releasedAt(X67,plus(X66,n1))
| ~ happens(X65,X66)
| ~ initiates(X65,X67,X66) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])]) ).
fof(c_0_46,plain,
! [X95,X96] : plus(X95,X96) = plus(X96,X95),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
fof(c_0_47,plain,
! [X2,X5] :
( ( ~ ? [X4] :
( releases(X4,X2,X5)
& happens(X4,X5) )
& ~ releasedAt(X2,X5) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[keep_not_released]) ).
fof(c_0_48,negated_conjecture,
~ holdsAt(filling,n2),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
cnf(c_0_49,plain,
( X2 != n0
| X3 != tapOn
| X1 != filling
| holdsAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_50,plain,
! [X2,X5] :
( ( ~ ? [X4] :
( terminates(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_holding]) ).
cnf(c_0_51,plain,
( ~ releasedAt(X2,plus(X3,n1))
| ~ happens(X1,X3)
| ~ initiates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
fof(c_0_54,plain,
! [X53,X54] :
( ( ~ releasedAt(X53,plus(X54,n1))
| releasedAt(X53,X54)
| releases(esk8_2(X53,X54),X53,X54) )
& ( ~ releasedAt(X53,plus(X54,n1))
| releasedAt(X53,X54)
| happens(esk8_2(X53,X54),X54) ) ),
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_47])])])])]) ).
fof(c_0_55,negated_conjecture,
~ holdsAt(filling,n2),
inference(fof_nnf,[status(thm)],[c_0_48]) ).
cnf(c_0_56,plain,
( X2 != n0
| X1 != filling
| holdsAt(X1,plus(X2,n1)) ),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_57,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[plus1_1]) ).
fof(c_0_58,plain,
! [X44,X45] :
( ( holdsAt(X44,plus(X45,n1))
| releasedAt(X44,plus(X45,n1))
| ~ holdsAt(X44,X45)
| terminates(esk5_2(X44,X45),X44,X45) )
& ( holdsAt(X44,plus(X45,n1))
| releasedAt(X44,plus(X45,n1))
| ~ holdsAt(X44,X45)
| happens(esk5_2(X44,X45),X45) ) ),
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_50])])])])]) ).
cnf(c_0_59,plain,
( ~ happens(X3,X2)
| ~ initiates(X3,X1,X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_60,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_53,c_0_52]) ).
fof(c_0_61,plain,
( ~ epred24_0
<=> ! [X2] :
( X2 != tapOn
| ~ happens(X2,n0) ) ),
introduced(definition) ).
cnf(c_0_62,plain,
( ~ happens(X2,X1)
| X1 = n0
| holdsAt(waterLevel(n3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_63,plain,
( ~ releasedAt(X1,plus(X2,n1))
| releasedAt(X1,X2)
| happens(esk8_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_64,negated_conjecture,
~ holdsAt(filling,n2),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_65,plain,
( X1 != filling
| n0 != n1
| holdsAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_66,plain,
( ~ holdsAt(X1,X2)
| holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| happens(esk5_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_67,plain,
( ~ happens(X2,n0)
| ~ initiates(X2,X1,n0)
| ~ releasedAt(X1,n1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_68,plain,
( ~ happens(X1,n0)
| X1 != tapOn
| epred24_0 ),
inference(split_equiv,[status(thm)],[c_0_61]) ).
cnf(c_0_69,plain,
( ~ releasedAt(X2,plus(X1,n1))
| holdsAt(waterLevel(n3),X1)
| releasedAt(X2,X1)
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,negated_conjecture,
n0 != n1,
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,plain,
( ~ holdsAt(X2,X1)
| holdsAt(waterLevel(n3),X1)
| holdsAt(X2,plus(X1,n1))
| releasedAt(X2,plus(X1,n1))
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_62,c_0_66]) ).
fof(c_0_72,plain,
( ~ epred21_0
<=> ! [X1] :
( X1 != filling
| ~ releasedAt(X1,n1) ) ),
introduced(definition) ).
cnf(c_0_73,plain,
( ~ happens(X2,n0)
| ~ releasedAt(X1,n1)
| ~ epred1_3(X1,X2,n0) ),
inference(spm,[status(thm)],[c_0_67,c_0_36]) ).
cnf(c_0_74,plain,
( X1 != tapOn
| epred24_0 ),
inference(spm,[status(thm)],[c_0_68,c_0_44]) ).
cnf(c_0_75,plain,
( ~ releasedAt(X1,n2)
| holdsAt(waterLevel(n3),n1)
| releasedAt(X1,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_57]),c_0_70]) ).
cnf(c_0_76,plain,
( ~ holdsAt(X1,n1)
| holdsAt(X1,n2)
| holdsAt(waterLevel(n3),n1)
| releasedAt(X1,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_57]),c_0_70]) ).
cnf(c_0_77,plain,
( ~ epred21_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_39]),c_0_72]),c_0_61]) ).
cnf(c_0_78,plain,
epred24_0,
inference(er,[status(thm)],[c_0_74]) ).
cnf(c_0_79,plain,
( X2 != n0
| X1 != filling
| holdsAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_56,c_0_52]) ).
fof(c_0_80,plain,
( ~ epred3_0
<=> ! [X2] :
( X2 != overflow
| ~ happens(X2,n1) ) ),
introduced(definition) ).
cnf(c_0_81,plain,
( ~ releasedAt(X1,n1)
| X1 != filling
| epred21_0 ),
inference(split_equiv,[status(thm)],[c_0_72]) ).
cnf(c_0_82,plain,
( ~ holdsAt(X1,n1)
| holdsAt(X1,n2)
| holdsAt(waterLevel(n3),n1)
| releasedAt(X1,n1) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_83,plain,
~ epred21_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]) ).
cnf(c_0_84,plain,
( X1 != filling
| holdsAt(X1,n1) ),
inference(spm,[status(thm)],[c_0_79,c_0_60]) ).
cnf(c_0_85,plain,
( ~ epred1_3(X3,X1,X2)
| X1 = tapOn
| X1 = overflow
| holdsAt(waterLevel(esk10_3(X2,X1,X3)),X2)
| X1 = overflow ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_86,plain,
( ~ epred1_3(X2,X1,X3)
| X1 = tapOn
| X1 = overflow
| X2 = waterLevel(esk10_3(X3,X1,X2))
| X1 = overflow ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_87,plain,
( ~ happens(X1,n1)
| X1 != overflow
| epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_80]) ).
cnf(c_0_88,plain,
( X2 != overflow
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1)
| happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_89,plain,
( X1 != filling
| holdsAt(X1,n2)
| holdsAt(waterLevel(n3),n1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_84]) ).
fof(c_0_90,plain,
! [X74,X75,X76,X78,X79,X80,X81] :
( ( releases(X78,X79,X81)
| X79 != waterLevel(X80)
| X78 != tapOn )
& ( ~ releases(X74,X75,X76)
| X75 = waterLevel(esk9_2(X74,X75)) )
& ( ~ releases(X74,X75,X76)
| X74 = tapOn ) ),
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_91,plain,
( ~ epred1_3(X3,X1,X2)
| holdsAt(waterLevel(esk10_3(X2,X1,X3)),X2)
| X1 = overflow
| X1 = tapOn ),
inference(cn,[status(thm)],[c_0_85]) ).
cnf(c_0_92,plain,
( ~ epred1_3(X2,X1,X3)
| X2 = waterLevel(esk10_3(X3,X1,X2))
| X1 = overflow
| X1 = tapOn ),
inference(cn,[status(thm)],[c_0_86]) ).
cnf(c_0_93,plain,
( X4 != waterLevel(X1)
| X3 != tapOff
| ~ holdsAt(waterLevel(X1),X2)
| epred1_3(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_94,hypothesis,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[waterLevel_0]) ).
fof(c_0_95,plain,
tapOff != tapOn,
inference(fof_simplification,[status(thm)],[tapOff_not_tapOn]) ).
fof(c_0_96,plain,
tapOff != overflow,
inference(fof_simplification,[status(thm)],[tapOff_not_overflow]) ).
cnf(c_0_97,plain,
( ~ holdsAt(filling,n1)
| ~ holdsAt(waterLevel(n3),n1)
| X1 != overflow
| epred3_0 ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_98,plain,
holdsAt(waterLevel(n3),n1),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_89]),c_0_64]) ).
fof(c_0_99,plain,
! [X62,X63,X64] :
( releasedAt(X64,plus(X63,n1))
| ~ releases(X62,X64,X63)
| ~ happens(X62,X63) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_releases])])]) ).
cnf(c_0_100,plain,
( X2 != waterLevel(X3)
| X1 != tapOn
| releases(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_101,plain,
( ~ epred1_3(X2,X1,X3)
| holdsAt(X2,X3)
| X1 = tapOn
| X1 = overflow ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_102,hypothesis,
( X2 != tapOff
| X1 != waterLevel(n0)
| epred1_3(X1,X2,n0) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
fof(c_0_103,plain,
tapOff != tapOn,
inference(fof_nnf,[status(thm)],[c_0_95]) ).
fof(c_0_104,plain,
tapOff != overflow,
inference(fof_nnf,[status(thm)],[c_0_96]) ).
cnf(c_0_105,plain,
( ~ holdsAt(filling,n1)
| X1 != overflow
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98])]) ).
cnf(c_0_106,plain,
( ~ releases(X1,X3,X2)
| ~ happens(X1,X2)
| releasedAt(X3,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_107,plain,
( X1 != tapOn
| releases(X1,waterLevel(X2),X3) ),
inference(er,[status(thm)],[c_0_100]) ).
fof(c_0_108,plain,
! [X84,X85,X86,X87] :
( trajectory(filling,X85,waterLevel(X86),X87)
| X86 != plus(X84,X87)
| ~ holdsAt(waterLevel(X84),X85) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])])]) ).
cnf(c_0_109,plain,
( X1 != tapOff
| X2 != waterLevel(n0)
| holdsAt(X2,n0)
| X1 = overflow
| X1 = tapOn ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_110,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_111,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_112,plain,
( ~ happens(X2,n1)
| ~ initiates(X2,X1,n1)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_51,c_0_57]) ).
cnf(c_0_113,plain,
( X4 != waterLevel(X1)
| X3 != overflow
| ~ holdsAt(waterLevel(X1),X2)
| epred1_3(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_114,plain,
( X1 != overflow
| epred3_0 ),
inference(spm,[status(thm)],[c_0_105,c_0_84]) ).
fof(c_0_115,plain,
! [X50,X51] :
( ( releasedAt(X50,plus(X51,n1))
| ~ releasedAt(X50,X51)
| terminates(esk7_2(X50,X51),X50,X51)
| initiates(esk7_2(X50,X51),X50,X51) )
& ( releasedAt(X50,plus(X51,n1))
| ~ releasedAt(X50,X51)
| happens(esk7_2(X50,X51),X51) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[keep_released])])])])]) ).
cnf(c_0_116,plain,
( ~ happens(X3,X2)
| X3 != tapOn
| releasedAt(waterLevel(X1),plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
fof(c_0_117,plain,
! [X12] : filling != waterLevel(X12),
inference(fof_simplification,[status(thm)],[filling_not_waterLevel]) ).
cnf(c_0_118,plain,
( X3 != plus(X1,X4)
| ~ holdsAt(waterLevel(X1),X2)
| trajectory(filling,X2,waterLevel(X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_119,plain,
( X1 != waterLevel(n0)
| holdsAt(X1,n0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_109]),c_0_110]),c_0_111]) ).
fof(c_0_120,plain,
! [X97,X98] :
( ( less_or_equal(X97,X98)
| X97 != X98 )
& ( less_or_equal(X97,X98)
| ~ less(X97,X98) )
& ( X97 = X98
| less(X97,X98)
| ~ less_or_equal(X97,X98) ) ),
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_121,plain,
! [X100] :
( ( less(X100,n1)
| ~ less_or_equal(X100,n0) )
& ( less_or_equal(X100,n0)
| ~ less(X100,n1) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])])]) ).
fof(c_0_122,plain,
! [X99] : ~ less(X99,n0),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])])]) ).
fof(c_0_123,plain,
( ~ epred35_0
<=> ! [X1] :
( X1 != waterLevel(n3)
| ~ releasedAt(X1,n2) ) ),
introduced(definition) ).
cnf(c_0_124,plain,
( ~ happens(X2,n1)
| ~ releasedAt(X1,n2)
| ~ epred1_3(X1,X2,n1) ),
inference(spm,[status(thm)],[c_0_112,c_0_36]) ).
cnf(c_0_125,plain,
( X2 != overflow
| X1 != waterLevel(n3)
| epred1_3(X1,X2,n1) ),
inference(spm,[status(thm)],[c_0_113,c_0_98]) ).
cnf(c_0_126,plain,
epred3_0,
inference(er,[status(thm)],[c_0_114]) ).
cnf(c_0_127,plain,
( ~ happens(X2,X1)
| X1 = n0
| holdsAt(filling,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_128,plain,
( ~ releasedAt(X1,X2)
| releasedAt(X1,plus(X2,n1))
| happens(esk7_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_129,plain,
( X2 != n0
| X3 != tapOn
| releasedAt(waterLevel(X1),plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_116,c_0_44]) ).
fof(c_0_130,plain,
! [X91] : filling != waterLevel(X91),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_117])]) ).
cnf(c_0_131,plain,
( ~ releases(X2,X1,X3)
| X1 = waterLevel(esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_132,plain,
( ~ releasedAt(X1,plus(X2,n1))
| releasedAt(X1,X2)
| releases(esk8_2(X1,X2),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_133,plain,
( ~ releases(X1,X2,X3)
| X1 = tapOn ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_134,plain,
( X1 != plus(X3,X2)
| waterLevel(X3) != waterLevel(n0)
| trajectory(filling,n0,waterLevel(X1),X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_135,plain,
( ~ less_or_equal(X1,X2)
| X1 = X2
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_136,plain,
( ~ less(X1,n1)
| less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_137,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
fof(c_0_138,plain,
! [X14,X15,X16,X19,X20,X21,X22,X23] :
( ( stoppedIn(X19,X20,X21)
| ~ terminates(X22,X20,X23)
| ~ less(X23,X21)
| ~ less(X19,X23)
| ~ happens(X22,X23) )
& ( ~ stoppedIn(X14,X15,X16)
| terminates(esk1_3(X14,X15,X16),X15,esk2_3(X14,X15,X16)) )
& ( ~ stoppedIn(X14,X15,X16)
| less(esk2_3(X14,X15,X16),X16) )
& ( ~ stoppedIn(X14,X15,X16)
| less(X14,esk2_3(X14,X15,X16)) )
& ( ~ stoppedIn(X14,X15,X16)
| happens(esk1_3(X14,X15,X16),esk2_3(X14,X15,X16)) ) ),
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_139,plain,
~ epred35_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_123]),c_0_80]),c_0_126])]) ).
cnf(c_0_140,plain,
( ~ releasedAt(X2,X1)
| holdsAt(filling,X1)
| releasedAt(X2,plus(X1,n1))
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_141,plain,
( X2 != n0
| releasedAt(waterLevel(X1),plus(X2,n1)) ),
inference(er,[status(thm)],[c_0_129]) ).
cnf(c_0_142,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_143,plain,
( ~ releasedAt(X1,plus(X2,n1))
| releasedAt(X1,X2)
| waterLevel(esk9_2(esk8_2(X1,X2),X1)) = X1 ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_144,plain,
( ~ releasedAt(X1,plus(X2,n1))
| releasedAt(X1,X2)
| esk8_2(X1,X2) = tapOn ),
inference(spm,[status(thm)],[c_0_133,c_0_132]) ).
fof(c_0_145,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_146,plain,
( waterLevel(X1) != waterLevel(n0)
| trajectory(filling,n0,waterLevel(plus(X1,X2)),X2) ),
inference(er,[status(thm)],[c_0_134]) ).
cnf(c_0_147,plain,
( X1 != X2
| less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_148,plain,
( ~ less(X1,n1)
| X1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]) ).
cnf(c_0_149,plain,
( ~ stoppedIn(X1,X2,X3)
| less(esk2_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_150,plain,
( ~ releasedAt(X1,n2)
| X1 != waterLevel(n3) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_123]),c_0_139]) ).
cnf(c_0_151,plain,
( ~ releasedAt(X1,n1)
| holdsAt(filling,n1)
| releasedAt(X1,n2)
| n0 = n1 ),
inference(spm,[status(thm)],[c_0_140,c_0_57]) ).
cnf(c_0_152,plain,
( X2 != n0
| releasedAt(waterLevel(X1),plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_141,c_0_52]) ).
fof(c_0_153,hypothesis,
~ releasedAt(filling,n0),
inference(fof_simplification,[status(thm)],[not_released_filling_0]) ).
cnf(c_0_154,plain,
( ~ releasedAt(X1,plus(X2,n1))
| X1 != filling
| releasedAt(X1,X2) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
fof(c_0_155,hypothesis,
! [X9] : ~ releasedAt(waterLevel(X9),n0),
inference(fof_simplification,[status(thm)],[not_released_waterLevel_0]) ).
cnf(c_0_156,plain,
( ~ releasedAt(X1,plus(X2,n1))
| happens(tapOn,X2)
| releasedAt(X1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_144]) ).
fof(c_0_157,plain,
! [X34,X35,X36,X37,X38] :
( holdsAt(X37,plus(X35,X38))
| stoppedIn(X35,X36,plus(X35,X38))
| ~ trajectory(X36,X35,X37,X38)
| ~ less(n0,X38)
| ~ initiates(X34,X36,X35)
| ~ happens(X34,X35) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_145])])]) ).
cnf(c_0_158,plain,
( waterLevel(X2) != waterLevel(n0)
| trajectory(filling,n0,waterLevel(plus(X1,X2)),X1) ),
inference(spm,[status(thm)],[c_0_146,c_0_52]) ).
cnf(c_0_159,plain,
( ~ less_or_equal(X1,n0)
| less(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_160,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_147]) ).
cnf(c_0_161,plain,
( ~ stoppedIn(X1,X2,X3)
| less(X1,esk2_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_162,plain,
( ~ stoppedIn(X1,X2,n1)
| esk2_3(X1,X2,n1) = n0 ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
fof(c_0_163,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]) ).
cnf(c_0_164,plain,
( ~ releasedAt(X1,n1)
| X1 != waterLevel(n3)
| holdsAt(filling,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_70]) ).
cnf(c_0_165,plain,
releasedAt(waterLevel(X1),n1),
inference(spm,[status(thm)],[c_0_152,c_0_60]) ).
fof(c_0_166,hypothesis,
~ releasedAt(filling,n0),
inference(fof_nnf,[status(thm)],[c_0_153]) ).
cnf(c_0_167,plain,
( ~ releasedAt(X1,plus(n1,X2))
| X1 != filling
| releasedAt(X1,X2) ),
inference(spm,[status(thm)],[c_0_154,c_0_52]) ).
fof(c_0_168,hypothesis,
~ holdsAt(filling,n0),
inference(fof_simplification,[status(thm)],[not_filling_0]) ).
fof(c_0_169,hypothesis,
! [X111] : ~ releasedAt(waterLevel(X111),n0),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_155])]) ).
cnf(c_0_170,plain,
( ~ releasedAt(X1,plus(n1,X2))
| happens(tapOn,X2)
| releasedAt(X1,X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_52]) ).
cnf(c_0_171,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_157]) ).
cnf(c_0_172,plain,
trajectory(filling,n0,waterLevel(n1),n1),
inference(spm,[status(thm)],[c_0_158,c_0_60]) ).
cnf(c_0_173,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_174,plain,
~ stoppedIn(X1,X2,n1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_137]) ).
fof(c_0_175,plain,
! [X47,X48] :
( ( ~ holdsAt(X47,plus(X48,n1))
| releasedAt(X47,plus(X48,n1))
| holdsAt(X47,X48)
| initiates(esk6_2(X47,X48),X47,X48) )
& ( ~ holdsAt(X47,plus(X48,n1))
| releasedAt(X47,plus(X48,n1))
| holdsAt(X47,X48)
| happens(esk6_2(X47,X48),X48) ) ),
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_163])])])])]) ).
cnf(c_0_176,plain,
( waterLevel(X1) != waterLevel(n3)
| holdsAt(filling,n1) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_177,hypothesis,
~ releasedAt(filling,n0),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_178,plain,
( ~ releasedAt(X1,n1)
| X1 != filling
| releasedAt(X1,n0) ),
inference(spm,[status(thm)],[c_0_167,c_0_60]) ).
fof(c_0_179,hypothesis,
~ holdsAt(filling,n0),
inference(fof_nnf,[status(thm)],[c_0_168]) ).
cnf(c_0_180,hypothesis,
~ releasedAt(waterLevel(X1),n0),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_181,plain,
( ~ releasedAt(X1,n1)
| happens(tapOn,n0)
| releasedAt(X1,n0) ),
inference(spm,[status(thm)],[c_0_170,c_0_60]) ).
fof(c_0_182,plain,
! [X102] :
( ( less(X102,n3)
| ~ less_or_equal(X102,n2) )
& ( less_or_equal(X102,n2)
| ~ less(X102,n3) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less3])])]) ).
fof(c_0_183,plain,
! [X101] :
( ( less(X101,n2)
| ~ less_or_equal(X101,n1) )
& ( less_or_equal(X101,n1)
| ~ less(X101,n2) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less2])])]) ).
fof(c_0_184,plain,
! [X88,X89,X90] :
( X89 = X90
| ~ holdsAt(waterLevel(X90),X88)
| ~ holdsAt(waterLevel(X89),X88) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[same_waterLevel])])]) ).
cnf(c_0_185,plain,
( ~ happens(X1,n0)
| ~ initiates(X1,filling,n0)
| 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(spm,[status(thm)],[c_0_171,c_0_172]),c_0_52]),c_0_60]),c_0_52]),c_0_60]),c_0_173])]),c_0_174]) ).
cnf(c_0_186,plain,
( ~ holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| holdsAt(X1,X2)
| initiates(esk6_2(X1,X2),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_187,plain,
holdsAt(filling,n1),
inference(er,[status(thm)],[c_0_176]) ).
cnf(c_0_188,hypothesis,
~ releasedAt(filling,n1),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_189,hypothesis,
~ holdsAt(filling,n0),
inference(split_conjunct,[status(thm)],[c_0_179]) ).
cnf(c_0_190,plain,
( ~ happens(X2,X1)
| X2 = tapOn
| holdsAt(filling,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_191,plain,
( ~ holdsAt(X1,plus(X2,n1))
| releasedAt(X1,plus(X2,n1))
| holdsAt(X1,X2)
| happens(esk6_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_192,hypothesis,
( ~ releasedAt(waterLevel(X1),n1)
| happens(tapOn,n0) ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
fof(c_0_193,plain,
! [X12,X13] :
( less(X12,X13)
<=> ( X13 != X12
& ~ less(X13,X12) ) ),
inference(fof_simplification,[status(thm)],[less_property]) ).
cnf(c_0_194,plain,
( ~ less_or_equal(X1,n2)
| less(X1,n3) ),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
cnf(c_0_195,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_196,plain,
( ~ less_or_equal(X1,n1)
| less(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
cnf(c_0_197,plain,
( ~ holdsAt(waterLevel(X3),X2)
| ~ holdsAt(waterLevel(X1),X2)
| X1 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_198,plain,
( ~ happens(esk6_2(filling,n0),n0)
| holdsAt(waterLevel(n1),n1) ),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_52]),c_0_60]),c_0_52]),c_0_60]),c_0_187])]),c_0_188]),c_0_189]) ).
cnf(c_0_199,plain,
( ~ holdsAt(X1,plus(X2,n1))
| holdsAt(X1,X2)
| holdsAt(filling,X2)
| releasedAt(X1,plus(X2,n1))
| esk6_2(X1,X2) = tapOn ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_200,hypothesis,
happens(tapOn,n0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_165])]) ).
fof(c_0_201,plain,
! [X109,X110] :
( ( less(X109,X110)
| X110 = X109
| less(X110,X109) )
& ( ~ less(X109,X110)
| X110 != X109 )
& ( ~ less(X109,X110)
| ~ less(X110,X109) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_193])])])]) ).
cnf(c_0_202,plain,
( ~ less(X1,n2)
| less(X1,n3) ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_203,plain,
less(n1,n2),
inference(spm,[status(thm)],[c_0_196,c_0_160]) ).
cnf(c_0_204,plain,
( ~ holdsAt(waterLevel(X1),n1)
| X1 = n3 ),
inference(spm,[status(thm)],[c_0_197,c_0_98]) ).
cnf(c_0_205,plain,
holdsAt(waterLevel(n1),n1),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_52]),c_0_60]),c_0_200]),c_0_52]),c_0_60]),c_0_187])]),c_0_188]),c_0_189]) ).
cnf(c_0_206,plain,
( ~ less(X2,X1)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_201]) ).
cnf(c_0_207,plain,
less(n1,n3),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_208,plain,
n3 = n1,
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_209,plain,
~ less(X1,X1),
inference(er,[status(thm)],[c_0_206]) ).
cnf(c_0_210,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_208]),c_0_209]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR009+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n001.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 14:29:29 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.51 Running first-order theorem proving
% 0.26/0.51 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 6.37/1.47 % Version: 3.5.1
% 6.37/1.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 6.37/1.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.37/1.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.37/1.47 % Starting new_bool_3 with 300s (1) cores
% 6.37/1.47 % Starting new_bool_1 with 300s (1) cores
% 6.37/1.47 % Starting sh5l with 300s (1) cores
% 6.37/1.47 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3365865 completed with status 0
% 6.37/1.47 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 6.37/1.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 6.37/1.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.37/1.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.37/1.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.37/1.47 % No SInE strategy applied
% 6.37/1.47 % Search class: FGHSF-FSLM32-SFFFFFNN
% 6.37/1.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.37/1.47 % Starting SubtermCWHack with 136s (1) cores
% 6.37/1.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 6.37/1.47 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 6.37/1.47 % Starting new_bool_3 with 136s (1) cores
% 6.37/1.47 % Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 6.37/1.47 % G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 3365874 completed with status 0
% 6.37/1.47 % Result found by G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 6.37/1.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 6.37/1.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.37/1.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.37/1.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.37/1.47 % No SInE strategy applied
% 6.37/1.47 % Search class: FGHSF-FSLM32-SFFFFFNN
% 6.37/1.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.37/1.47 % Starting SubtermCWHack with 136s (1) cores
% 6.37/1.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 6.37/1.47 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 6.37/1.47 % Preprocessing time : 0.005 s
% 6.37/1.47 % Presaturation interreduction done
% 6.37/1.47
% 6.37/1.47 % Proof found!
% 6.37/1.47 % SZS status Theorem
% 6.37/1.47 % SZS output start CNFRefutation
% See solution above
% 6.37/1.47 % Parsed axioms : 55
% 6.37/1.47 % Removed by relevancy pruning/SinE : 0
% 6.37/1.47 % Initial clauses : 137
% 6.37/1.47 % Removed in clause preprocessing : 1
% 6.37/1.47 % Initial clauses in saturation : 136
% 6.37/1.47 % Processed clauses : 3233
% 6.37/1.47 % ...of these trivial : 19
% 6.37/1.47 % ...subsumed : 1802
% 6.37/1.47 % ...remaining for further processing : 1412
% 6.37/1.47 % Other redundant clauses eliminated : 306
% 6.37/1.47 % Clauses deleted for lack of memory : 0
% 6.37/1.47 % Backward-subsumed : 182
% 6.37/1.47 % Backward-rewritten : 342
% 6.37/1.47 % Generated clauses : 11460
% 6.37/1.47 % ...of the previous two non-redundant : 10460
% 6.37/1.47 % ...aggressively subsumed : 0
% 6.37/1.47 % Contextual simplify-reflections : 78
% 6.37/1.47 % Paramodulations : 10929
% 6.37/1.47 % Factorizations : 10
% 6.37/1.47 % NegExts : 0
% 6.37/1.47 % Equation resolutions : 443
% 6.37/1.47 % Disequality decompositions : 0
% 6.37/1.47 % Total rewrite steps : 1671
% 6.37/1.47 % ...of those cached : 1620
% 6.37/1.47 % Propositional unsat checks : 0
% 6.37/1.47 % Propositional check models : 0
% 6.37/1.47 % Propositional check unsatisfiable : 0
% 6.37/1.47 % Propositional clauses : 0
% 6.37/1.47 % Propositional clauses after purity: 0
% 6.37/1.47 % Propositional unsat core size : 0
% 6.37/1.47 % Propositional preprocessing time : 0.000
% 6.37/1.47 % Propositional encoding time : 0.000
% 6.37/1.47 % Propositional solver time : 0.000
% 6.37/1.47 % Success case prop preproc time : 0.000
% 6.37/1.47 % Success case prop encoding time : 0.000
% 6.37/1.47 % Success case prop solver time : 0.000
% 6.37/1.47 % Current number of processed clauses : 731
% 6.37/1.47 % Positive orientable unit clauses : 36
% 6.37/1.47 % Positive unorientable unit clauses: 1
% 6.37/1.47 % Negative unit clauses : 110
% 6.37/1.47 % Non-unit-clauses : 584
% 6.37/1.47 % Current number of unprocessed clauses: 6782
% 6.37/1.47 % ...number of literals in the above : 48512
% 6.37/1.47 % Current number of archived formulas : 0
% 6.37/1.47 % Current number of archived clauses : 640
% 6.37/1.47 % Clause-clause subsumption calls (NU) : 131888
% 6.37/1.47 % Rec. Clause-clause subsumption calls : 38651
% 6.37/1.47 % Non-unit clause-clause subsumptions : 1228
% 6.37/1.47 % Unit Clause-clause subsumption calls : 36408
% 6.37/1.47 % Rewrite failures with RHS unbound : 0
% 6.37/1.47 % BW rewrite match attempts : 148
% 6.37/1.47 % BW rewrite match successes : 56
% 6.37/1.47 % Condensation attempts : 0
% 6.37/1.47 % Condensation successes : 0
% 6.37/1.47 % Termbank termtop insertions : 157256
% 6.37/1.47 % Search garbage collected termcells : 1494
% 6.37/1.47
% 6.37/1.47 % -------------------------------------------------
% 6.37/1.47 % User time : 0.729 s
% 6.37/1.47 % System time : 0.020 s
% 6.37/1.47 % Total time : 0.749 s
% 6.37/1.47 % Maximum resident set size: 3896 pages
% 6.37/1.47
% 6.37/1.47 % -------------------------------------------------
% 6.37/1.47 % User time : 3.935 s
% 6.37/1.47 % System time : 0.114 s
% 6.37/1.47 % Total time : 4.049 s
% 6.37/1.47 % Maximum resident set size: 4864 pages
% 6.37/1.47 % E exiting
%------------------------------------------------------------------------------