%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR006+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 : 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 12:15:52 PM UTC 2026
% Result : Theorem 0.25s 0.56s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 33
% Syntax : Number of formulae : 203 ( 87 unt; 0 def)
% Number of atoms : 727 ( 281 equ)
% Maximal formula atoms : 194 ( 3 avg)
% Number of connectives : 774 ( 250 ~; 374 |; 123 &)
% ( 14 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 9 con; 0-3 aty)
% Number of variables : 309 ( 22 sgn 151 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(less2,axiom,
! [X12] :
( less(X12,n2)
<=> less_or_equal(X12,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
fof(waterLevel_3,conjecture,
holdsAt(waterLevel(n3),n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_3) ).
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(waterLevel_0,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).
fof(less3,axiom,
! [X12] :
( less(X12,n3)
<=> less_or_equal(X12,n2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
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(plus0_3,axiom,
plus(n0,n3) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_3) ).
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(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(terminates_all_defn,axiom,
! [X4,X2,X5] :
( terminates(X4,X2,X5)
<=> ( ( X2 = filling
& X4 = overflow )
| ( X2 = filling
& X4 = tapOff ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',terminates_all_defn) ).
fof(tapOff_not_overflow,axiom,
tapOff != overflow,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',tapOff_not_overflow) ).
fof(tapOff_not_tapOn,axiom,
tapOff != tapOn,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',tapOff_not_tapOn) ).
fof(overflow_not_tapOn,axiom,
overflow != tapOn,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',overflow_not_tapOn) ).
fof(less_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( X13 != X12
& ~ less(X13,X12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(startedin_defn,axiom,
! [X1,X3,X2] :
( startedIn(X1,X2,X3)
<=> ? [X4,X5] :
( initiates(X4,X2,X5)
& less(X5,X3)
& less(X1,X5)
& happens(X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',startedin_defn) ).
fof(less0,axiom,
~ ? [X12] : less(X12,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
fof(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(filling_not_waterLevel,axiom,
! [X12] : filling != waterLevel(X12),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).
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(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(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
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(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(happens_terminates_not_holds,axiom,
! [X4,X5,X2] :
( ( terminates(X4,X2,X5)
& happens(X4,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).
fof(plus1_2,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).
fof(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(plus1_1,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
fof(not_spilling_0,hypothesis,
~ holdsAt(spilling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_spilling_0) ).
fof(c_0_32,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_33,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])])]) ).
cnf(c_0_34,plain,
( X1 != X2
| less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_35,plain,
( ~ less_or_equal(X1,n0)
| less(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_36,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_34]) ).
fof(c_0_37,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])])]) ).
fof(c_0_38,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])])]) ).
cnf(c_0_39,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,plain,
( X3 != plus(X1,X4)
| ~ holdsAt(waterLevel(X1),X2)
| trajectory(filling,X2,waterLevel(X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,plain,
( ~ less_or_equal(X1,n1)
| less(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_43,plain,
less_or_equal(n0,n1),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_44,negated_conjecture,
~ holdsAt(waterLevel(n3),n3),
inference(assume_negation,[status(cth)],[waterLevel_3]) ).
fof(c_0_45,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_46,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_47,plain,
( ~ holdsAt(waterLevel(X2),X1)
| trajectory(filling,X1,waterLevel(plus(X2,X3)),X3) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_48,hypothesis,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[waterLevel_0]) ).
fof(c_0_49,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])])]) ).
cnf(c_0_50,plain,
less(n0,n2),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_51,negated_conjecture,
~ holdsAt(waterLevel(n3),n3),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_52,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_45]) ).
fof(c_0_53,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_45])])])])])])]) ).
fof(c_0_54,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_46])])]) ).
cnf(c_0_55,hypothesis,
trajectory(filling,n0,waterLevel(plus(n0,X1)),X1),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_56,plain,
plus(n0,n3) = n3,
inference(split_conjunct,[status(thm)],[plus0_3]) ).
cnf(c_0_57,plain,
( ~ less_or_equal(X1,n2)
| less(X1,n3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_58,plain,
less_or_equal(n0,n2),
inference(spm,[status(thm)],[c_0_39,c_0_50]) ).
fof(c_0_59,negated_conjecture,
~ holdsAt(waterLevel(n3),n3),
inference(fof_nnf,[status(thm)],[c_0_51]) ).
fof(c_0_60,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_52])])]) ).
cnf(c_0_61,plain,
( X2 != filling
| X1 != tapOn
| epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_62,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])])])]) ).
cnf(c_0_63,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_54]) ).
cnf(c_0_64,hypothesis,
trajectory(filling,n0,waterLevel(n3),n3),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,plain,
less(n0,n3),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
~ holdsAt(waterLevel(n3),n3),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_67,plain,
( ~ epred1_3(X1,X2,X3)
| initiates(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_68,plain,
epred1_3(filling,tapOn,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_61])]) ).
cnf(c_0_69,plain,
( X2 != n0
| X1 != tapOn
| happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_70,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_71,hypothesis,
( ~ happens(X1,n0)
| ~ initiates(X1,filling,n0)
| stoppedIn(n0,filling,n3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_56]),c_0_56]),c_0_65])]),c_0_66]) ).
cnf(c_0_72,plain,
initiates(tapOn,filling,X1),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_73,plain,
happens(tapOn,n0),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_69])]) ).
cnf(c_0_74,plain,
( ~ stoppedIn(X1,X2,X3)
| happens(esk1_3(X1,X2,X3),esk2_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_75,plain,
stoppedIn(n0,filling,n3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]) ).
fof(c_0_76,plain,
! [X71,X72,X73] :
( ( terminates(X71,X72,X73)
| X72 != filling
| X71 != overflow )
& ( terminates(X71,X72,X73)
| X72 != filling
| X71 != tapOff )
& ( ~ terminates(X71,X72,X73)
| X72 = filling
| X72 = filling )
& ( ~ terminates(X71,X72,X73)
| X72 = filling
| X71 = overflow )
& ( ~ terminates(X71,X72,X73)
| X71 = tapOff
| X72 = filling )
& ( ~ terminates(X71,X72,X73)
| X71 = tapOff
| X71 = overflow ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[terminates_all_defn])])])]) ).
cnf(c_0_77,plain,
( ~ stoppedIn(X1,X2,X3)
| terminates(esk1_3(X1,X2,X3),X2,esk2_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
fof(c_0_78,plain,
tapOff != overflow,
inference(fof_simplification,[status(thm)],[tapOff_not_overflow]) ).
fof(c_0_79,plain,
tapOff != tapOn,
inference(fof_simplification,[status(thm)],[tapOff_not_tapOn]) ).
cnf(c_0_80,plain,
( ~ happens(X1,X2)
| X1 = tapOn
| X1 = overflow ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_81,plain,
happens(esk1_3(n0,filling,n3),esk2_3(n0,filling,n3)),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_82,plain,
( ~ terminates(X1,X2,X3)
| X1 = tapOff
| X1 = overflow ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_83,plain,
terminates(esk1_3(n0,filling,n3),filling,esk2_3(n0,filling,n3)),
inference(spm,[status(thm)],[c_0_77,c_0_75]) ).
fof(c_0_84,plain,
tapOff != overflow,
inference(fof_nnf,[status(thm)],[c_0_78]) ).
fof(c_0_85,plain,
tapOff != tapOn,
inference(fof_nnf,[status(thm)],[c_0_79]) ).
fof(c_0_86,plain,
overflow != tapOn,
inference(fof_simplification,[status(thm)],[overflow_not_tapOn]) ).
cnf(c_0_87,plain,
( ~ happens(X2,X1)
| X2 = tapOn
| holdsAt(waterLevel(n3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_88,plain,
( esk1_3(n0,filling,n3) = tapOn
| esk1_3(n0,filling,n3) = overflow ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_89,plain,
( esk1_3(n0,filling,n3) = overflow
| esk1_3(n0,filling,n3) = tapOff ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_90,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_91,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[c_0_85]) ).
fof(c_0_92,plain,
overflow != tapOn,
inference(fof_nnf,[status(thm)],[c_0_86]) ).
cnf(c_0_93,plain,
( X4 != waterLevel(X1)
| X3 != overflow
| ~ holdsAt(waterLevel(X1),X2)
| epred1_3(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_94,plain,
( holdsAt(waterLevel(n3),esk2_3(n0,filling,n3))
| esk1_3(n0,filling,n3) = tapOn ),
inference(spm,[status(thm)],[c_0_87,c_0_81]) ).
cnf(c_0_95,plain,
esk1_3(n0,filling,n3) = overflow,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_91]) ).
cnf(c_0_96,plain,
overflow != tapOn,
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_97,plain,
( ~ holdsAt(waterLevel(X1),X2)
| epred1_3(waterLevel(X1),overflow,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_93])]) ).
cnf(c_0_98,plain,
holdsAt(waterLevel(n3),esk2_3(n0,filling,n3)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
fof(c_0_99,plain,
! [X12,X13] :
( less(X12,X13)
<=> ( X13 != X12
& ~ less(X13,X12) ) ),
inference(fof_simplification,[status(thm)],[less_property]) ).
fof(c_0_100,plain,
! [X24,X25,X26,X29,X30,X31,X32,X33] :
( ( startedIn(X29,X31,X30)
| ~ initiates(X32,X31,X33)
| ~ less(X33,X30)
| ~ less(X29,X33)
| ~ happens(X32,X33) )
& ( ~ startedIn(X24,X26,X25)
| initiates(esk3_3(X24,X25,X26),X26,esk4_3(X24,X25,X26)) )
& ( ~ startedIn(X24,X26,X25)
| less(esk4_3(X24,X25,X26),X25) )
& ( ~ startedIn(X24,X26,X25)
| less(X24,esk4_3(X24,X25,X26)) )
& ( ~ startedIn(X24,X26,X25)
| happens(esk3_3(X24,X25,X26),esk4_3(X24,X25,X26)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[startedin_defn])])])])])])]) ).
cnf(c_0_101,plain,
epred1_3(waterLevel(n3),overflow,esk2_3(n0,filling,n3)),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
fof(c_0_102,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_99])])])]) ).
cnf(c_0_103,plain,
( ~ initiates(X1,X5,X2)
| ~ less(X2,X4)
| ~ less(X3,X2)
| ~ happens(X1,X2)
| startedIn(X3,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_104,plain,
initiates(overflow,waterLevel(n3),esk2_3(n0,filling,n3)),
inference(spm,[status(thm)],[c_0_67,c_0_101]) ).
cnf(c_0_105,plain,
happens(overflow,esk2_3(n0,filling,n3)),
inference(rw,[status(thm)],[c_0_81,c_0_95]) ).
cnf(c_0_106,plain,
( ~ stoppedIn(X1,X2,X3)
| less(X1,esk2_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_107,plain,
( ~ less(X1,n1)
| less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_108,plain,
( less(X2,X1)
| X1 = X2
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
fof(c_0_109,plain,
! [X99] : ~ less(X99,n0),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])])]) ).
cnf(c_0_110,plain,
( ~ less(esk2_3(n0,filling,n3),X2)
| ~ less(X1,esk2_3(n0,filling,n3))
| startedIn(X1,waterLevel(n3),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105])]) ).
cnf(c_0_111,plain,
less(n0,esk2_3(n0,filling,n3)),
inference(spm,[status(thm)],[c_0_106,c_0_75]) ).
cnf(c_0_112,plain,
( ~ stoppedIn(X1,X2,X3)
| less(esk2_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_113,plain,
( ~ less_or_equal(X1,X2)
| X1 = X2
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_114,plain,
( less(n1,X1)
| less_or_equal(X1,n0)
| X1 = n1 ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_115,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_116,plain,
( ~ less(X1,n2)
| less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_117,plain,
( ~ less(esk2_3(n0,filling,n3),X1)
| startedIn(n0,waterLevel(n3),X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_118,plain,
less(esk2_3(n0,filling,n3),n3),
inference(spm,[status(thm)],[c_0_112,c_0_75]) ).
cnf(c_0_119,plain,
( ~ less(X2,X1)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_120,plain,
( less(n1,X1)
| X1 = n0
| X1 = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
cnf(c_0_121,plain,
( less(n2,X1)
| less_or_equal(X1,n1)
| X1 = n2 ),
inference(spm,[status(thm)],[c_0_116,c_0_108]) ).
cnf(c_0_122,plain,
( ~ startedIn(X1,X3,X2)
| less(esk4_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_123,plain,
startedIn(n0,waterLevel(n3),n3),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_124,plain,
( ~ less(X1,n1)
| X1 = n1
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_125,plain,
( less(X1,n1)
| less(n2,X1)
| X1 = n1
| X1 = n2 ),
inference(spm,[status(thm)],[c_0_113,c_0_121]) ).
cnf(c_0_126,plain,
( ~ less(X1,n3)
| less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_127,plain,
less(esk4_3(n0,n3,waterLevel(n3)),n3),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
fof(c_0_128,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_129,plain,
( ~ startedIn(X1,X3,X2)
| initiates(esk3_3(X1,X2,X3),X3,esk4_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
fof(c_0_130,plain,
! [X12] : filling != waterLevel(X12),
inference(fof_simplification,[status(thm)],[filling_not_waterLevel]) ).
fof(c_0_131,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_132,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])])]) ).
cnf(c_0_133,plain,
( ~ startedIn(X1,X3,X2)
| happens(esk3_3(X1,X2,X3),esk4_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
fof(c_0_134,plain,
! [X95,X96] : plus(X95,X96) = plus(X96,X95),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
cnf(c_0_135,plain,
( less(n2,X1)
| X1 = n0
| X1 = n1
| X1 = n2 ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_136,plain,
less_or_equal(esk4_3(n0,n3,waterLevel(n3)),n2),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
fof(c_0_137,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_138,plain,
( X2 != waterLevel(X3)
| X1 != tapOn
| releases(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_139,plain,
( ~ epred1_3(X2,X1,X3)
| X2 = filling
| X1 = overflow
| X1 = tapOff
| X1 = overflow ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_140,plain,
( ~ initiates(X1,X2,X3)
| epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_141,plain,
initiates(esk3_3(n0,n3,waterLevel(n3)),waterLevel(n3),esk4_3(n0,n3,waterLevel(n3))),
inference(spm,[status(thm)],[c_0_129,c_0_123]) ).
fof(c_0_142,plain,
! [X91] : filling != waterLevel(X91),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_130])]) ).
fof(c_0_143,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_131])])])]) ).
cnf(c_0_144,plain,
( ~ initiates(X1,X3,X2)
| ~ happens(X1,X2)
| holdsAt(X3,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_145,plain,
happens(esk3_3(n0,n3,waterLevel(n3)),esk4_3(n0,n3,waterLevel(n3))),
inference(spm,[status(thm)],[c_0_133,c_0_123]) ).
cnf(c_0_146,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_147,plain,
( ~ less(X1,n2)
| X1 = n2
| X1 = n1
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_119,c_0_135]) ).
cnf(c_0_148,plain,
( less(esk4_3(n0,n3,waterLevel(n3)),n2)
| esk4_3(n0,n3,waterLevel(n3)) = n2 ),
inference(spm,[status(thm)],[c_0_113,c_0_136]) ).
cnf(c_0_149,plain,
( ~ releases(X1,X3,X2)
| ~ happens(X1,X2)
| releasedAt(X3,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_150,plain,
releases(tapOn,waterLevel(X1),X2),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_138])]) ).
cnf(c_0_151,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
fof(c_0_152,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]) ).
cnf(c_0_153,plain,
( ~ epred1_3(X2,X1,X3)
| X1 = tapOff
| X1 = overflow
| X2 = filling ),
inference(cn,[status(thm)],[c_0_139]) ).
cnf(c_0_154,plain,
epred1_3(waterLevel(n3),esk3_3(n0,n3,waterLevel(n3)),esk4_3(n0,n3,waterLevel(n3))),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_155,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_156,plain,
( ~ releasedAt(X2,plus(X3,n1))
| ~ happens(X1,X3)
| ~ initiates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_157,plain,
holdsAt(waterLevel(n3),plus(n1,esk4_3(n0,n3,waterLevel(n3)))),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_141]),c_0_145])]),c_0_146]) ).
cnf(c_0_158,plain,
( esk4_3(n0,n3,waterLevel(n3)) = n0
| esk4_3(n0,n3,waterLevel(n3)) = n1
| esk4_3(n0,n3,waterLevel(n3)) = n2 ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_159,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[plus1_2]) ).
cnf(c_0_160,plain,
( ~ happens(tapOn,X2)
| releasedAt(waterLevel(X1),plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_161,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_151,c_0_146]) ).
fof(c_0_162,plain,
! [X59,X60,X61] :
( ~ holdsAt(X61,plus(X60,n1))
| ~ terminates(X59,X61,X60)
| ~ happens(X59,X60) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_152])])]) ).
cnf(c_0_163,plain,
( X2 != filling
| X1 != overflow
| terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_164,plain,
( esk3_3(n0,n3,waterLevel(n3)) = tapOn
| esk3_3(n0,n3,waterLevel(n3)) = overflow ),
inference(spm,[status(thm)],[c_0_80,c_0_145]) ).
cnf(c_0_165,plain,
( esk3_3(n0,n3,waterLevel(n3)) = overflow
| esk3_3(n0,n3,waterLevel(n3)) = tapOff ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]) ).
fof(c_0_166,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_167,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_168,plain,
~ releasedAt(waterLevel(n3),plus(n1,esk4_3(n0,n3,waterLevel(n3)))),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_141]),c_0_145])]),c_0_146]) ).
cnf(c_0_169,plain,
( esk4_3(n0,n3,waterLevel(n3)) = n1
| esk4_3(n0,n3,waterLevel(n3)) = n0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]),c_0_66]) ).
cnf(c_0_170,plain,
releasedAt(waterLevel(X1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_73]),c_0_146]),c_0_161]) ).
cnf(c_0_171,plain,
( ~ holdsAt(X3,plus(X2,n1))
| ~ terminates(X1,X3,X2)
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_172,plain,
terminates(overflow,filling,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_163])]) ).
cnf(c_0_173,plain,
esk3_3(n0,n3,waterLevel(n3)) = overflow,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_90]),c_0_91]) ).
cnf(c_0_174,plain,
( X2 != spilling
| X1 != overflow
| epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_175,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_166])])])])]) ).
fof(c_0_176,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_167])])])])]) ).
cnf(c_0_177,plain,
esk4_3(n0,n3,waterLevel(n3)) = n1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_161]),c_0_170])]) ).
cnf(c_0_178,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[plus1_1]) ).
cnf(c_0_179,plain,
( ~ happens(overflow,X1)
| ~ holdsAt(filling,plus(X1,n1)) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_180,plain,
happens(overflow,esk4_3(n0,n3,waterLevel(n3))),
inference(rw,[status(thm)],[c_0_145,c_0_173]) ).
cnf(c_0_181,plain,
epred1_3(spilling,overflow,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_174])]) ).
cnf(c_0_182,plain,
( ~ releasedAt(X1,plus(X2,n1))
| releasedAt(X1,X2)
| happens(esk8_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_183,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_176]) ).
cnf(c_0_184,plain,
holdsAt(waterLevel(n3),n2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_177]),c_0_178]) ).
cnf(c_0_185,plain,
~ holdsAt(filling,plus(n1,esk4_3(n0,n3,waterLevel(n3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_146]) ).
cnf(c_0_186,plain,
initiates(overflow,spilling,X1),
inference(spm,[status(thm)],[c_0_67,c_0_181]) ).
cnf(c_0_187,plain,
( ~ releasedAt(X1,plus(n1,X2))
| happens(esk8_2(X1,X2),X2)
| releasedAt(X1,X2) ),
inference(spm,[status(thm)],[c_0_182,c_0_146]) ).
cnf(c_0_188,plain,
( ~ happens(X2,X1)
| X1 = n0
| holdsAt(filling,X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_189,plain,
( happens(esk5_2(waterLevel(n3),n2),n2)
| releasedAt(waterLevel(n3),n3) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_146]),c_0_159]),c_0_146]),c_0_159]),c_0_66]) ).
cnf(c_0_190,plain,
~ holdsAt(filling,n2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_177]),c_0_178]) ).
cnf(c_0_191,plain,
( ~ happens(overflow,X1)
| holdsAt(spilling,plus(X1,n1)) ),
inference(spm,[status(thm)],[c_0_144,c_0_186]) ).
cnf(c_0_192,plain,
( ~ releasedAt(X1,n3)
| happens(esk8_2(X1,n2),n2)
| releasedAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_187,c_0_159]) ).
cnf(c_0_193,plain,
( releasedAt(waterLevel(n3),n3)
| n2 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190]) ).
cnf(c_0_194,plain,
~ releasedAt(waterLevel(n3),n2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_177]),c_0_178]) ).
fof(c_0_195,hypothesis,
~ holdsAt(spilling,n0),
inference(fof_simplification,[status(thm)],[not_spilling_0]) ).
cnf(c_0_196,plain,
holdsAt(spilling,plus(n1,esk4_3(n0,n3,waterLevel(n3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_180]),c_0_146]) ).
cnf(c_0_197,plain,
( happens(esk8_2(waterLevel(n3),n2),n2)
| n2 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]) ).
fof(c_0_198,hypothesis,
~ holdsAt(spilling,n0),
inference(fof_nnf,[status(thm)],[c_0_195]) ).
cnf(c_0_199,plain,
holdsAt(spilling,n2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_177]),c_0_178]) ).
cnf(c_0_200,plain,
n2 = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_197]),c_0_190]) ).
cnf(c_0_201,hypothesis,
~ holdsAt(spilling,n0),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_202,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_200]),c_0_201]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR006+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 14:26:51 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 0.25/0.56 % Version: 3.5.1
% 0.25/0.56 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.25/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.25/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.56 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.56 % Starting sh5l with 300s (1) cores
% 0.25/0.56 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1692574 completed with status 0
% 0.25/0.56 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.25/0.56 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.25/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.25/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.56 % No SInE strategy applied
% 0.25/0.56 % Search class: FGHSF-FSLM32-SFFFFFNN
% 0.25/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.56 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.25/0.56 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.25/0.56 % Starting new_bool_3 with 136s (1) cores
% 0.25/0.56 % Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 0.25/0.56 % new_bool_3 with pid 1692583 completed with status 0
% 0.25/0.56 % Result found by new_bool_3
% 0.25/0.56 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.25/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.25/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.56 % No SInE strategy applied
% 0.25/0.56 % Search class: FGHSF-FSLM32-SFFFFFNN
% 0.25/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.56 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.25/0.56 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.25/0.56 % Starting new_bool_3 with 136s (1) cores
% 0.25/0.56 % Preprocessing time : 0.002 s
% 0.25/0.56 % Presaturation interreduction done
% 0.25/0.56
% 0.25/0.56 % Proof found!
% 0.25/0.56 % SZS status Theorem
% 0.25/0.56 % SZS output start CNFRefutation
% See solution above
% 0.25/0.56 % Parsed axioms : 55
% 0.25/0.56 % Removed by relevancy pruning/SinE : 0
% 0.25/0.56 % Initial clauses : 137
% 0.25/0.56 % Removed in clause preprocessing : 1
% 0.25/0.56 % Initial clauses in saturation : 136
% 0.25/0.56 % Processed clauses : 2252
% 0.25/0.56 % ...of these trivial : 111
% 0.25/0.56 % ...subsumed : 723
% 0.25/0.56 % ...remaining for further processing : 1418
% 0.25/0.56 % Other redundant clauses eliminated : 20
% 0.25/0.56 % Clauses deleted for lack of memory : 0
% 0.25/0.56 % Backward-subsumed : 101
% 0.25/0.56 % Backward-rewritten : 278
% 0.25/0.56 % Generated clauses : 8883
% 0.25/0.56 % ...of the previous two non-redundant : 3813
% 0.25/0.56 % ...aggressively subsumed : 0
% 0.25/0.56 % Contextual simplify-reflections : 6
% 0.25/0.56 % Paramodulations : 8824
% 0.25/0.56 % Factorizations : 13
% 0.25/0.56 % NegExts : 0
% 0.25/0.56 % Equation resolutions : 32
% 0.25/0.56 % Disequality decompositions : 0
% 0.25/0.56 % Total rewrite steps : 7026
% 0.25/0.56 % ...of those cached : 6596
% 0.25/0.56 % Propositional unsat checks : 0
% 0.25/0.56 % Propositional check models : 0
% 0.25/0.56 % Propositional check unsatisfiable : 0
% 0.25/0.56 % Propositional clauses : 0
% 0.25/0.56 % Propositional clauses after purity: 0
% 0.25/0.56 % Propositional unsat core size : 0
% 0.25/0.56 % Propositional preprocessing time : 0.000
% 0.25/0.56 % Propositional encoding time : 0.000
% 0.25/0.56 % Propositional solver time : 0.000
% 0.25/0.56 % Success case prop preproc time : 0.000
% 0.25/0.56 % Success case prop encoding time : 0.000
% 0.25/0.56 % Success case prop solver time : 0.000
% 0.25/0.56 % Current number of processed clauses : 889
% 0.25/0.56 % Positive orientable unit clauses : 420
% 0.25/0.56 % Positive unorientable unit clauses: 1
% 0.25/0.56 % Negative unit clauses : 148
% 0.25/0.56 % Non-unit-clauses : 320
% 0.25/0.56 % Current number of unprocessed clauses: 1543
% 0.25/0.56 % ...number of literals in the above : 5920
% 0.25/0.56 % Current number of archived formulas : 0
% 0.25/0.56 % Current number of archived clauses : 517
% 0.25/0.56 % Clause-clause subsumption calls (NU) : 22349
% 0.25/0.56 % Rec. Clause-clause subsumption calls : 8891
% 0.25/0.56 % Non-unit clause-clause subsumptions : 676
% 0.25/0.56 % Unit Clause-clause subsumption calls : 12276
% 0.25/0.56 % Rewrite failures with RHS unbound : 0
% 0.25/0.56 % BW rewrite match attempts : 621
% 0.25/0.56 % BW rewrite match successes : 87
% 0.25/0.56 % Condensation attempts : 0
% 0.25/0.56 % Condensation successes : 0
% 0.25/0.56 % Termbank termtop insertions : 118535
% 0.25/0.56 % Search garbage collected termcells : 1494
% 0.25/0.56
% 0.25/0.56 % -------------------------------------------------
% 0.25/0.56 % User time : 0.110 s
% 0.25/0.56 % System time : 0.009 s
% 0.25/0.56 % Total time : 0.118 s
% 0.25/0.56 % Maximum resident set size: 3692 pages
% 0.25/0.56
% 0.25/0.56 % -------------------------------------------------
% 0.25/0.56 % User time : 0.534 s
% 0.25/0.56 % System time : 0.035 s
% 0.25/0.56 % Total time : 0.569 s
% 0.25/0.56 % Maximum resident set size: 4608 pages
% 0.25/0.56 % E exiting
%------------------------------------------------------------------------------