%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR004+2 : TPTP v9.2.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:13:50 PM UTC 2026
% Result : Theorem 0.29s 1.61s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_57)
% Comments :
%------------------------------------------------------------------------------
fof(antitrajectory,axiom,
! [X4,X1,X8,X3,X6] :
( ( happens(X4,X1)
& terminates(X4,X8,X1)
& less(n0,X3)
& antitrajectory(X8,X1,X6,X3)
& ~ startedIn(X1,X8,plus(X1,X3)) )
=> holdsAt(X6,plus(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',antitrajectory) ).
fof(change_holding,axiom,
! [X4,X5,X2,X6,X7] :
( ( happens(X4,X5)
& initiates(X4,X2,X5)
& less(n0,X7)
& trajectory(X2,X5,X6,X7)
& ~ stoppedIn(X5,X2,plus(X5,X7)) )
=> holdsAt(X6,plus(X5,X7)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',change_holding) ).
fof(keep_not_holding,axiom,
! [X2,X5] :
( ( ~ holdsAt(X2,X5)
& ~ releasedAt(X2,plus(X5,n1))
& ~ ? [X4] :
( happens(X4,X5)
& initiates(X4,X2,X5) ) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_not_holding) ).
fof(keep_holding,axiom,
! [X2,X5] :
( ( holdsAt(X2,X5)
& ~ releasedAt(X2,plus(X5,n1))
& ~ ? [X4] :
( happens(X4,X5)
& terminates(X4,X2,X5) ) )
=> holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_holding) ).
fof(happens_terminates_not_holds,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& terminates(X4,X2,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).
fof(happens_not_released,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& ( initiates(X4,X2,X5)
| terminates(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_not_released) ).
fof(keep_not_released,axiom,
! [X2,X5] :
( ( ~ releasedAt(X2,X5)
& ~ ? [X4] :
( happens(X4,X5)
& releases(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).
fof(initiates_all_defn,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> ( ( X4 = tapOn
& X2 = filling )
| ( X4 = overflow
& X2 = spilling )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = tapOff
& X2 = waterLevel(X9) )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = overflow
& X2 = waterLevel(X9) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).
fof(terminates_all_defn,axiom,
! [X4,X2,X5] :
( terminates(X4,X2,X5)
<=> ( ( X4 = tapOff
& X2 = filling )
| ( X4 = overflow
& X2 = filling ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',terminates_all_defn) ).
fof(less_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(not_released_waterLevel_0,hypothesis,
! [X9] : ~ releasedAt(waterLevel(X9),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_released_waterLevel_0) ).
fof(startedin_defn,axiom,
! [X1,X3,X2] :
( startedIn(X1,X2,X3)
<=> ? [X4,X5] :
( happens(X4,X5)
& less(X1,X5)
& less(X5,X3)
& initiates(X4,X2,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',startedin_defn) ).
fof(stoppedin_defn,axiom,
! [X1,X2,X3] :
( stoppedIn(X1,X2,X3)
<=> ? [X4,X5] :
( happens(X4,X5)
& less(X1,X5)
& less(X5,X3)
& terminates(X4,X2,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
fof(change_of_waterLevel,axiom,
! [X10,X5,X11,X7] :
( ( holdsAt(waterLevel(X10),X5)
& X11 = plus(X10,X7) )
=> trajectory(filling,X5,waterLevel(X11),X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).
fof(keep_released,axiom,
! [X2,X5] :
( ( releasedAt(X2,X5)
& ~ ? [X4] :
( happens(X4,X5)
& ( initiates(X4,X2,X5)
| terminates(X4,X2,X5) ) ) )
=> releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_released) ).
fof(happens_releases,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& releases(X4,X2,X5) )
=> releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_releases) ).
fof(happens_holds,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& initiates(X4,X2,X5) )
=> holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_holds) ).
fof(releases_all_defn,axiom,
! [X4,X2,X5] :
( releases(X4,X2,X5)
<=> ? [X9] :
( X4 = tapOn
& X2 = waterLevel(X9) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',releases_all_defn) ).
fof(same_waterLevel,axiom,
! [X5,X10,X11] :
( ( holdsAt(waterLevel(X10),X5)
& holdsAt(waterLevel(X11),X5) )
=> X10 = X11 ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',same_waterLevel) ).
fof(happens_all_defn,axiom,
! [X4,X5] :
( happens(X4,X5)
<=> ( ( X4 = tapOn
& X5 = n0 )
| ( holdsAt(waterLevel(n3),X5)
& holdsAt(filling,X5)
& X4 = overflow ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
fof(less_or_equal,axiom,
! [X12,X13] :
( less_or_equal(X12,X13)
<=> ( less(X12,X13)
| X12 = X13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
fof(less9,axiom,
! [X12] :
( less(X12,n9)
<=> less_or_equal(X12,n8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less9) ).
fof(less8,axiom,
! [X12] :
( less(X12,n8)
<=> less_or_equal(X12,n7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less8) ).
fof(less7,axiom,
! [X12] :
( less(X12,n7)
<=> less_or_equal(X12,n6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less7) ).
fof(less6,axiom,
! [X12] :
( less(X12,n6)
<=> less_or_equal(X12,n5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less6) ).
fof(less5,axiom,
! [X12] :
( less(X12,n5)
<=> less_or_equal(X12,n4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less5) ).
fof(less3,axiom,
! [X12] :
( less(X12,n3)
<=> less_or_equal(X12,n2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
fof(less4,axiom,
! [X12] :
( less(X12,n4)
<=> less_or_equal(X12,n3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less4) ).
fof(less2,axiom,
! [X12] :
( less(X12,n2)
<=> less_or_equal(X12,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
fof(less1,axiom,
! [X12] :
( less(X12,n1)
<=> less_or_equal(X12,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
fof(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(less0,axiom,
~ ? [X12] : less(X12,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
fof(not_released_spilling_0,hypothesis,
~ releasedAt(spilling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_released_spilling_0) ).
fof(not_released_filling_0,hypothesis,
~ releasedAt(filling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_released_filling_0) ).
fof(not_spilling_0,hypothesis,
~ holdsAt(spilling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_spilling_0) ).
fof(not_filling_0,hypothesis,
~ holdsAt(filling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_filling_0) ).
fof(overflow_3,conjecture,
happens(overflow,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',overflow_3) ).
fof(distinct_waterLevels,axiom,
! [X12,X13] :
( waterLevel(X12) = waterLevel(X13)
<=> X12 = X13 ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',distinct_waterLevels) ).
fof(spilling_not_waterLevel,axiom,
! [X12] : spilling != waterLevel(X12),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',spilling_not_waterLevel) ).
fof(filling_not_waterLevel,axiom,
! [X12] : filling != waterLevel(X12),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).
fof(waterLevel_3,lemma,
holdsAt(waterLevel(n3),n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_3) ).
fof(waterLevel_0,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).
fof(filling_3,lemma,
holdsAt(filling,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_3) ).
fof(plus2_2,axiom,
plus(n2,n2) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus2_2) ).
fof(plus2_3,axiom,
plus(n2,n3) = n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus2_3) ).
fof(plus3_3,axiom,
plus(n3,n3) = n6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus3_3) ).
fof(plus1_2,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).
fof(plus1_3,axiom,
plus(n1,n3) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_3) ).
fof(plus1_1,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
fof(plus0_2,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_2) ).
fof(plus0_3,axiom,
plus(n0,n3) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_3) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(plus0_0,axiom,
plus(n0,n0) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_0) ).
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(filling_not_spilling,axiom,
filling != spilling,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',filling_not_spilling) ).
fof(overflow_not_tapOn,axiom,
overflow != tapOn,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',overflow_not_tapOn) ).
fof(i_0_57,plain,
! [X5,X4,X2] :
( epred1_3(X2,X4,X5)
<=> ( ( X4 = tapOn
& X2 = filling )
| ( X4 = overflow
& X2 = spilling )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = tapOff
& X2 = waterLevel(X9) )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = overflow
& X2 = waterLevel(X9) ) ) ),
introduced(definition) ).
fof(i_0_58,plain,
! [X4,X1,X8,X3,X6] :
( ( happens(X4,X1)
& terminates(X4,X8,X1)
& less(n0,X3)
& antitrajectory(X8,X1,X6,X3)
& ~ startedIn(X1,X8,plus(X1,X3)) )
=> holdsAt(X6,plus(X1,X3)) ),
inference(fof_simplification,[status(thm)],[antitrajectory]) ).
fof(i_0_59,plain,
! [X4,X5,X2,X6,X7] :
( ( happens(X4,X5)
& initiates(X4,X2,X5)
& less(n0,X7)
& trajectory(X2,X5,X6,X7)
& ~ stoppedIn(X5,X2,plus(X5,X7)) )
=> holdsAt(X6,plus(X5,X7)) ),
inference(fof_simplification,[status(thm)],[change_holding]) ).
fof(i_0_60,plain,
! [X198,X199,X200,X203,X204,X205,X206,X207] :
( ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
| holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
| X199 = overflow
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( X199 = overflow
| holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
| X199 = overflow
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( X200 = waterLevel(esk11_3(X198,X199,X200))
| holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
| X199 = overflow
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
| X199 = tapOff
| X199 = overflow
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( X199 = overflow
| X199 = tapOff
| X199 = overflow
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( X200 = waterLevel(esk11_3(X198,X199,X200))
| X199 = tapOff
| X199 = overflow
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
| X200 = waterLevel(esk10_3(X198,X199,X200))
| X199 = overflow
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( X199 = overflow
| X200 = waterLevel(esk10_3(X198,X199,X200))
| X199 = overflow
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( X200 = waterLevel(esk11_3(X198,X199,X200))
| X200 = waterLevel(esk10_3(X198,X199,X200))
| X199 = overflow
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
| holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
| X200 = spilling
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( X199 = overflow
| holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
| X200 = spilling
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( X200 = waterLevel(esk11_3(X198,X199,X200))
| holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
| X200 = spilling
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
| X199 = tapOff
| X200 = spilling
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( X199 = overflow
| X199 = tapOff
| X200 = spilling
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( X200 = waterLevel(esk11_3(X198,X199,X200))
| X199 = tapOff
| X200 = spilling
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
| X200 = waterLevel(esk10_3(X198,X199,X200))
| X200 = spilling
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( X199 = overflow
| X200 = waterLevel(esk10_3(X198,X199,X200))
| X200 = spilling
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( X200 = waterLevel(esk11_3(X198,X199,X200))
| X200 = waterLevel(esk10_3(X198,X199,X200))
| X200 = spilling
| X199 = tapOn
| ~ epred1_3(X200,X199,X198) )
& ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
| holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
| X199 = overflow
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( X199 = overflow
| holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
| X199 = overflow
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( X200 = waterLevel(esk11_3(X198,X199,X200))
| holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
| X199 = overflow
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
| X199 = tapOff
| X199 = overflow
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( X199 = overflow
| X199 = tapOff
| X199 = overflow
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( X200 = waterLevel(esk11_3(X198,X199,X200))
| X199 = tapOff
| X199 = overflow
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
| X200 = waterLevel(esk10_3(X198,X199,X200))
| X199 = overflow
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( X199 = overflow
| X200 = waterLevel(esk10_3(X198,X199,X200))
| X199 = overflow
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( X200 = waterLevel(esk11_3(X198,X199,X200))
| X200 = waterLevel(esk10_3(X198,X199,X200))
| X199 = overflow
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
| holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
| X200 = spilling
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( X199 = overflow
| holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
| X200 = spilling
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( X200 = waterLevel(esk11_3(X198,X199,X200))
| holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
| X200 = spilling
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
| X199 = tapOff
| X200 = spilling
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( X199 = overflow
| X199 = tapOff
| X200 = spilling
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( X200 = waterLevel(esk11_3(X198,X199,X200))
| X199 = tapOff
| X200 = spilling
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
| X200 = waterLevel(esk10_3(X198,X199,X200))
| X200 = spilling
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( X199 = overflow
| X200 = waterLevel(esk10_3(X198,X199,X200))
| X200 = spilling
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( X200 = waterLevel(esk11_3(X198,X199,X200))
| X200 = waterLevel(esk10_3(X198,X199,X200))
| X200 = spilling
| X200 = filling
| ~ epred1_3(X200,X199,X198) )
& ( X204 != tapOn
| X205 != filling
| epred1_3(X205,X204,X203) )
& ( X204 != overflow
| X205 != spilling
| epred1_3(X205,X204,X203) )
& ( ~ holdsAt(waterLevel(X206),X203)
| X204 != tapOff
| X205 != waterLevel(X206)
| epred1_3(X205,X204,X203) )
& ( ~ holdsAt(waterLevel(X207),X203)
| X204 != overflow
| X205 != waterLevel(X207)
| epred1_3(X205,X204,X203) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_57])])])])])]) ).
fof(i_0_61,plain,
! [X2,X5] :
( ( ~ holdsAt(X2,X5)
& ~ releasedAt(X2,plus(X5,n1))
& ~ ? [X4] :
( happens(X4,X5)
& initiates(X4,X2,X5) ) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[keep_not_holding]) ).
fof(i_0_62,plain,
! [X2,X5] :
( ( holdsAt(X2,X5)
& ~ releasedAt(X2,plus(X5,n1))
& ~ ? [X4] :
( happens(X4,X5)
& terminates(X4,X2,X5) ) )
=> holdsAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[keep_holding]) ).
fof(i_0_63,plain,
! [X4,X5,X2] :
( ( happens(X4,X5)
& terminates(X4,X2,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[happens_terminates_not_holds]) ).
fof(i_0_64,plain,
! [X4,X5,X2] :
( ( happens(X4,X5)
& ( initiates(X4,X2,X5)
| terminates(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[happens_not_released]) ).
fof(i_0_65,plain,
! [X2,X5] :
( ( ~ releasedAt(X2,X5)
& ~ ? [X4] :
( happens(X4,X5)
& releases(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[keep_not_released]) ).
fof(i_0_66,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_57]) ).
fof(i_0_67,plain,
! [X157,X158,X159] :
( ( X157 = overflow
| X157 = tapOff
| ~ terminates(X157,X158,X159) )
& ( X158 = filling
| X157 = tapOff
| ~ terminates(X157,X158,X159) )
& ( X157 = overflow
| X158 = filling
| ~ terminates(X157,X158,X159) )
& ( X158 = filling
| X158 = filling
| ~ terminates(X157,X158,X159) )
& ( X157 != tapOff
| X158 != filling
| terminates(X157,X158,X159) )
& ( X157 != overflow
| X158 != filling
| terminates(X157,X158,X159) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[terminates_all_defn])])]) ).
fof(i_0_68,plain,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
inference(fof_simplification,[status(thm)],[less_property]) ).
fof(i_0_69,hypothesis,
! [X9] : ~ releasedAt(waterLevel(X9),n0),
inference(fof_simplification,[status(thm)],[not_released_waterLevel_0]) ).
fof(i_0_70,plain,
! [X125,X126,X127,X128,X129] :
( ~ happens(X125,X126)
| ~ terminates(X125,X127,X126)
| ~ less(n0,X128)
| ~ antitrajectory(X127,X126,X129,X128)
| startedIn(X126,X127,plus(X126,X128))
| holdsAt(X129,plus(X126,X128)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_58])]) ).
fof(i_0_71,plain,
! [X120,X121,X122,X123,X124] :
( ~ happens(X120,X121)
| ~ initiates(X120,X122,X121)
| ~ less(n0,X124)
| ~ trajectory(X122,X121,X123,X124)
| stoppedIn(X121,X122,plus(X121,X124))
| holdsAt(X123,plus(X121,X124)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_59])]) ).
fof(i_0_72,plain,
! [X110,X111,X112,X115,X116,X117,X118,X119] :
( ( happens(esk3_3(X110,X111,X112),esk4_3(X110,X111,X112))
| ~ startedIn(X110,X112,X111) )
& ( less(X110,esk4_3(X110,X111,X112))
| ~ startedIn(X110,X112,X111) )
& ( less(esk4_3(X110,X111,X112),X111)
| ~ startedIn(X110,X112,X111) )
& ( initiates(esk3_3(X110,X111,X112),X112,esk4_3(X110,X111,X112))
| ~ startedIn(X110,X112,X111) )
& ( ~ happens(X118,X119)
| ~ less(X115,X119)
| ~ less(X119,X116)
| ~ initiates(X118,X117,X119)
| startedIn(X115,X117,X116) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[startedin_defn])])])])])]) ).
fof(i_0_73,plain,
! [X100,X101,X102,X105,X106,X107,X108,X109] :
( ( happens(esk1_3(X100,X101,X102),esk2_3(X100,X101,X102))
| ~ stoppedIn(X100,X101,X102) )
& ( less(X100,esk2_3(X100,X101,X102))
| ~ stoppedIn(X100,X101,X102) )
& ( less(esk2_3(X100,X101,X102),X102)
| ~ stoppedIn(X100,X101,X102) )
& ( terminates(esk1_3(X100,X101,X102),X101,esk2_3(X100,X101,X102))
| ~ stoppedIn(X100,X101,X102) )
& ( ~ happens(X108,X109)
| ~ less(X105,X109)
| ~ less(X109,X107)
| ~ terminates(X108,X106,X109)
| stoppedIn(X105,X106,X107) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[stoppedin_defn])])])])])]) ).
cnf(i_0_74,plain,
( X1 = overflow
| holdsAt(waterLevel(esk10_3(X2,X1,X3)),X2)
| X1 = overflow
| X1 = tapOn
| ~ epred1_3(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]) ).
cnf(i_0_75,plain,
( X1 = overflow
| holdsAt(waterLevel(esk10_3(X2,X1,X3)),X2)
| X1 = overflow
| X3 = filling
| ~ epred1_3(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]) ).
fof(i_0_76,plain,
! [X170,X171,X172,X173] :
( ~ holdsAt(waterLevel(X170),X171)
| X172 != plus(X170,X173)
| trajectory(filling,X171,waterLevel(X172),X173) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])]) ).
fof(i_0_77,plain,
! [X136,X137] :
( ( happens(esk7_2(X136,X137),X137)
| ~ releasedAt(X136,X137)
| releasedAt(X136,plus(X137,n1)) )
& ( initiates(esk7_2(X136,X137),X136,X137)
| terminates(esk7_2(X136,X137),X136,X137)
| ~ releasedAt(X136,X137)
| releasedAt(X136,plus(X137,n1)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[keep_released])])])]) ).
cnf(i_0_78,plain,
( X1 = overflow
| X2 = waterLevel(esk10_3(X3,X1,X2))
| X1 = overflow
| X1 = tapOn
| ~ epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]) ).
cnf(i_0_79,plain,
( X1 = overflow
| X2 = waterLevel(esk10_3(X3,X1,X2))
| X1 = overflow
| X2 = filling
| ~ epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]) ).
fof(i_0_80,plain,
! [X133,X134] :
( ( happens(esk6_2(X133,X134),X134)
| holdsAt(X133,X134)
| releasedAt(X133,plus(X134,n1))
| ~ holdsAt(X133,plus(X134,n1)) )
& ( initiates(esk6_2(X133,X134),X133,X134)
| holdsAt(X133,X134)
| releasedAt(X133,plus(X134,n1))
| ~ holdsAt(X133,plus(X134,n1)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_61])])])]) ).
fof(i_0_81,plain,
! [X130,X131] :
( ( happens(esk5_2(X130,X131),X131)
| ~ holdsAt(X130,X131)
| releasedAt(X130,plus(X131,n1))
| holdsAt(X130,plus(X131,n1)) )
& ( terminates(esk5_2(X130,X131),X130,X131)
| ~ holdsAt(X130,X131)
| releasedAt(X130,plus(X131,n1))
| holdsAt(X130,plus(X131,n1)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_62])])])]) ).
fof(i_0_82,plain,
! [X145,X146,X147] :
( ~ happens(X145,X146)
| ~ terminates(X145,X147,X146)
| ~ holdsAt(X147,plus(X146,n1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_63])]) ).
fof(i_0_83,plain,
! [X151,X152,X153] :
( ( ~ initiates(X151,X153,X152)
| ~ happens(X151,X152)
| ~ releasedAt(X153,plus(X152,n1)) )
& ( ~ terminates(X151,X153,X152)
| ~ happens(X151,X152)
| ~ releasedAt(X153,plus(X152,n1)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_64])])]) ).
fof(i_0_84,plain,
! [X139,X140] :
( ( happens(esk8_2(X139,X140),X140)
| releasedAt(X139,X140)
| ~ releasedAt(X139,plus(X140,n1)) )
& ( releases(esk8_2(X139,X140),X139,X140)
| releasedAt(X139,X140)
| ~ releasedAt(X139,plus(X140,n1)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_65])])])]) ).
fof(i_0_85,plain,
! [X148,X149,X150] :
( ~ happens(X148,X149)
| ~ releases(X148,X150,X149)
| releasedAt(X150,plus(X149,n1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_releases])]) ).
fof(i_0_86,plain,
! [X142,X143,X144] :
( ~ happens(X142,X143)
| ~ initiates(X142,X144,X143)
| holdsAt(X144,plus(X143,n1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_holds])]) ).
fof(i_0_87,plain,
! [X154,X155,X156] :
( ( ~ initiates(X154,X155,X156)
| epred1_3(X155,X154,X156) )
& ( ~ epred1_3(X155,X154,X156)
| initiates(X154,X155,X156) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_66])]) ).
fof(i_0_88,plain,
! [X160,X161,X162,X164,X165,X166,X167] :
( ( X160 = tapOn
| ~ releases(X160,X161,X162) )
& ( X161 = waterLevel(esk9_2(X160,X161))
| ~ releases(X160,X161,X162) )
& ( X164 != tapOn
| X165 != waterLevel(X166)
| releases(X164,X165,X167) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[releases_all_defn])])])])])]) ).
cnf(i_0_89,plain,
( X1 = overflow
| X1 = tapOff
| X1 = overflow
| X1 = tapOn
| ~ epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]) ).
cnf(i_0_90,plain,
( X1 = overflow
| X1 = tapOff
| X1 = overflow
| X2 = filling
| ~ epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]) ).
cnf(i_0_91,plain,
( X1 = filling
| X1 = filling
| ~ terminates(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_67]) ).
fof(i_0_92,plain,
! [X174,X175,X176] :
( ~ holdsAt(waterLevel(X175),X174)
| ~ holdsAt(waterLevel(X176),X174)
| X175 = X176 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[same_waterLevel])]) ).
fof(i_0_93,plain,
! [X168,X169] :
( ( holdsAt(waterLevel(n3),X169)
| X168 = tapOn
| ~ happens(X168,X169) )
& ( holdsAt(filling,X169)
| X168 = tapOn
| ~ happens(X168,X169) )
& ( X168 = overflow
| X168 = tapOn
| ~ happens(X168,X169) )
& ( holdsAt(waterLevel(n3),X169)
| X169 = n0
| ~ happens(X168,X169) )
& ( holdsAt(filling,X169)
| X169 = n0
| ~ happens(X168,X169) )
& ( X168 = overflow
| X169 = n0
| ~ happens(X168,X169) )
& ( X168 != tapOn
| X169 != n0
| happens(X168,X169) )
& ( ~ holdsAt(waterLevel(n3),X169)
| ~ holdsAt(filling,X169)
| X168 != overflow
| happens(X168,X169) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])]) ).
fof(i_0_94,plain,
! [X195,X196] :
( ( ~ less(X196,X195)
| ~ less(X195,X196) )
& ( X196 != X195
| ~ less(X195,X196) )
& ( less(X196,X195)
| X196 = X195
| less(X195,X196) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_68])])]) ).
fof(i_0_95,plain,
! [X183,X184] :
( ( ~ less_or_equal(X183,X184)
| less(X183,X184)
| X183 = X184 )
& ( ~ less(X183,X184)
| less_or_equal(X183,X184) )
& ( X183 != X184
| less_or_equal(X183,X184) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_or_equal])])]) ).
fof(i_0_96,plain,
! [X194] :
( ( ~ less(X194,n9)
| less_or_equal(X194,n8) )
& ( ~ less_or_equal(X194,n8)
| less(X194,n9) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less9])]) ).
fof(i_0_97,plain,
! [X193] :
( ( ~ less(X193,n8)
| less_or_equal(X193,n7) )
& ( ~ less_or_equal(X193,n7)
| less(X193,n8) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less8])]) ).
fof(i_0_98,plain,
! [X192] :
( ( ~ less(X192,n7)
| less_or_equal(X192,n6) )
& ( ~ less_or_equal(X192,n6)
| less(X192,n7) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less7])]) ).
fof(i_0_99,plain,
! [X191] :
( ( ~ less(X191,n6)
| less_or_equal(X191,n5) )
& ( ~ less_or_equal(X191,n5)
| less(X191,n6) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less6])]) ).
fof(i_0_100,plain,
! [X190] :
( ( ~ less(X190,n5)
| less_or_equal(X190,n4) )
& ( ~ less_or_equal(X190,n4)
| less(X190,n5) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less5])]) ).
fof(i_0_101,plain,
! [X188] :
( ( ~ less(X188,n3)
| less_or_equal(X188,n2) )
& ( ~ less_or_equal(X188,n2)
| less(X188,n3) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less3])]) ).
fof(i_0_102,plain,
! [X189] :
( ( ~ less(X189,n4)
| less_or_equal(X189,n3) )
& ( ~ less_or_equal(X189,n3)
| less(X189,n4) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less4])]) ).
fof(i_0_103,plain,
! [X187] :
( ( ~ less(X187,n2)
| less_or_equal(X187,n1) )
& ( ~ less_or_equal(X187,n1)
| less(X187,n2) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less2])]) ).
fof(i_0_104,plain,
! [X186] :
( ( ~ less(X186,n1)
| less_or_equal(X186,n0) )
& ( ~ less_or_equal(X186,n0)
| less(X186,n1) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])]) ).
fof(i_0_105,hypothesis,
! [X197] : ~ releasedAt(waterLevel(X197),n0),
inference(variable_rename,[status(thm)],[i_0_69]) ).
fof(i_0_106,plain,
! [X181,X182] : plus(X181,X182) = plus(X182,X181),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
fof(i_0_107,plain,
! [X185] : ~ less(X185,n0),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])]) ).
fof(i_0_108,hypothesis,
~ releasedAt(spilling,n0),
inference(fof_simplification,[status(thm)],[not_released_spilling_0]) ).
fof(i_0_109,hypothesis,
~ releasedAt(filling,n0),
inference(fof_simplification,[status(thm)],[not_released_filling_0]) ).
fof(i_0_110,hypothesis,
~ holdsAt(spilling,n0),
inference(fof_simplification,[status(thm)],[not_spilling_0]) ).
fof(i_0_111,hypothesis,
~ holdsAt(filling,n0),
inference(fof_simplification,[status(thm)],[not_filling_0]) ).
fof(i_0_112,negated_conjecture,
~ happens(overflow,n3),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[overflow_3])]) ).
fof(i_0_113,plain,
! [X179,X180] :
( ( waterLevel(X179) != waterLevel(X180)
| X179 = X180 )
& ( X179 != X180
| waterLevel(X179) = waterLevel(X180) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[distinct_waterLevels])]) ).
fof(i_0_114,plain,
! [X178] : spilling != waterLevel(X178),
inference(variable_rename,[status(thm)],[spilling_not_waterLevel]) ).
fof(i_0_115,plain,
! [X177] : filling != waterLevel(X177),
inference(variable_rename,[status(thm)],[filling_not_waterLevel]) ).
cnf(i_0_116,plain,
( startedIn(X2,X3,plus(X2,X4))
| holdsAt(X5,plus(X2,X4))
| ~ happens(X1,X2)
| ~ terminates(X1,X3,X2)
| ~ less(n0,X4)
| ~ antitrajectory(X3,X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_117,plain,
( stoppedIn(X2,X3,plus(X2,X4))
| holdsAt(X5,plus(X2,X4))
| ~ happens(X1,X2)
| ~ initiates(X1,X3,X2)
| ~ less(n0,X4)
| ~ trajectory(X3,X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_118,plain,
( holdsAt(waterLevel(esk11_3(X1,X2,X3)),X1)
| holdsAt(waterLevel(esk10_3(X1,X2,X3)),X1)
| X2 = overflow
| X2 = tapOn
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_119,plain,
( holdsAt(waterLevel(esk11_3(X1,X2,X3)),X1)
| holdsAt(waterLevel(esk10_3(X1,X2,X3)),X1)
| X3 = spilling
| X2 = tapOn
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_120,plain,
( holdsAt(waterLevel(esk11_3(X1,X2,X3)),X1)
| holdsAt(waterLevel(esk10_3(X1,X2,X3)),X1)
| X2 = overflow
| X3 = filling
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_121,plain,
( holdsAt(waterLevel(esk11_3(X1,X2,X3)),X1)
| holdsAt(waterLevel(esk10_3(X1,X2,X3)),X1)
| X3 = spilling
| X3 = filling
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_122,plain,
( X1 = waterLevel(esk11_3(X2,X3,X1))
| holdsAt(waterLevel(esk10_3(X2,X3,X1)),X2)
| X1 = spilling
| X1 = filling
| ~ epred1_3(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_123,plain,
( holdsAt(waterLevel(esk11_3(X1,X2,X3)),X1)
| X3 = waterLevel(esk10_3(X1,X2,X3))
| X2 = overflow
| X2 = tapOn
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_124,plain,
( holdsAt(waterLevel(esk11_3(X1,X2,X3)),X1)
| X3 = waterLevel(esk10_3(X1,X2,X3))
| X3 = spilling
| X2 = tapOn
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_125,plain,
( X1 = waterLevel(esk11_3(X2,X3,X1))
| holdsAt(waterLevel(esk10_3(X2,X3,X1)),X2)
| X3 = overflow
| X1 = filling
| ~ epred1_3(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_126,plain,
( holdsAt(waterLevel(esk11_3(X1,X2,X3)),X1)
| X3 = waterLevel(esk10_3(X1,X2,X3))
| X2 = overflow
| X3 = filling
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_127,plain,
( holdsAt(waterLevel(esk11_3(X1,X2,X3)),X1)
| X3 = waterLevel(esk10_3(X1,X2,X3))
| X3 = spilling
| X3 = filling
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_128,plain,
( X1 = waterLevel(esk11_3(X2,X3,X1))
| holdsAt(waterLevel(esk10_3(X2,X3,X1)),X2)
| X1 = spilling
| X3 = tapOn
| ~ epred1_3(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_129,plain,
( X1 = waterLevel(esk11_3(X2,X3,X1))
| holdsAt(waterLevel(esk10_3(X2,X3,X1)),X2)
| X3 = overflow
| X3 = tapOn
| ~ epred1_3(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_130,plain,
( initiates(esk3_3(X1,X2,X3),X3,esk4_3(X1,X2,X3))
| ~ startedIn(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_131,plain,
( terminates(esk1_3(X1,X2,X3),X2,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_132,plain,
( holdsAt(waterLevel(esk11_3(X1,X2,X3)),X1)
| X2 = tapOff
| X2 = overflow
| X2 = tapOn
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_133,plain,
( X1 = overflow
| holdsAt(waterLevel(esk10_3(X2,X1,X3)),X2)
| X3 = spilling
| X1 = tapOn
| ~ epred1_3(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_134,plain,
( holdsAt(waterLevel(esk11_3(X1,X2,X3)),X1)
| X2 = tapOff
| X3 = spilling
| X2 = tapOn
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_135,plain,
( holdsAt(waterLevel(esk11_3(X1,X2,X3)),X1)
| X2 = tapOff
| X2 = overflow
| X3 = filling
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_136,plain,
( X1 = overflow
| holdsAt(waterLevel(esk10_3(X2,X1,X3)),X2)
| X3 = spilling
| X3 = filling
| ~ epred1_3(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_137,plain,
( holdsAt(waterLevel(esk11_3(X1,X2,X3)),X1)
| X2 = tapOff
| X3 = spilling
| X3 = filling
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_138,plain,
( X1 = tapOn
| X1 = overflow
| holdsAt(waterLevel(esk10_3(X2,X1,X3)),X2)
| ~ epred1_3(X3,X1,X2) ),
inference(cn,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_139,plain,
( X3 = filling
| X1 = overflow
| holdsAt(waterLevel(esk10_3(X2,X1,X3)),X2)
| ~ epred1_3(X3,X1,X2) ),
inference(cn,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_140,plain,
( happens(esk3_3(X1,X2,X3),esk4_3(X1,X2,X3))
| ~ startedIn(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_141,plain,
( happens(esk1_3(X1,X2,X3),esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_142,plain,
( X1 = waterLevel(esk11_3(X2,X3,X1))
| X1 = waterLevel(esk10_3(X2,X3,X1))
| X1 = spilling
| X1 = filling
| ~ epred1_3(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_143,plain,
( X1 = waterLevel(esk11_3(X2,X3,X1))
| X1 = waterLevel(esk10_3(X2,X3,X1))
| X3 = overflow
| X1 = filling
| ~ epred1_3(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_144,plain,
( X1 = waterLevel(esk11_3(X2,X3,X1))
| X1 = waterLevel(esk10_3(X2,X3,X1))
| X1 = spilling
| X3 = tapOn
| ~ epred1_3(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_145,plain,
( X1 = waterLevel(esk11_3(X2,X3,X1))
| X1 = waterLevel(esk10_3(X2,X3,X1))
| X3 = overflow
| X3 = tapOn
| ~ epred1_3(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_146,plain,
( trajectory(filling,X2,waterLevel(X3),X4)
| ~ holdsAt(waterLevel(X1),X2)
| X3 != plus(X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_147,plain,
( initiates(esk7_2(X1,X2),X1,X2)
| terminates(esk7_2(X1,X2),X1,X2)
| releasedAt(X1,plus(X2,n1))
| ~ releasedAt(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_148,plain,
( startedIn(X3,X5,X4)
| ~ happens(X1,X2)
| ~ less(X3,X2)
| ~ less(X2,X4)
| ~ initiates(X1,X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_149,plain,
( stoppedIn(X3,X5,X4)
| ~ happens(X1,X2)
| ~ less(X3,X2)
| ~ less(X2,X4)
| ~ terminates(X1,X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_150,plain,
( less(esk4_3(X1,X2,X3),X2)
| ~ startedIn(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_151,plain,
( less(esk2_3(X1,X2,X3),X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_152,plain,
( less(X1,esk4_3(X1,X2,X3))
| ~ startedIn(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_153,plain,
( less(X1,esk2_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_154,plain,
( X1 = overflow
| X2 = waterLevel(esk10_3(X3,X1,X2))
| X2 = spilling
| X1 = tapOn
| ~ epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_155,plain,
( X1 = overflow
| X2 = waterLevel(esk10_3(X3,X1,X2))
| X2 = spilling
| X2 = filling
| ~ epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_156,plain,
( X1 = waterLevel(esk11_3(X2,X3,X1))
| X3 = tapOff
| X1 = spilling
| X1 = filling
| ~ epred1_3(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_157,plain,
( X1 = waterLevel(esk11_3(X2,X3,X1))
| X3 = tapOff
| X3 = overflow
| X1 = filling
| ~ epred1_3(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_158,plain,
( X1 = waterLevel(esk11_3(X2,X3,X1))
| X3 = tapOff
| X1 = spilling
| X3 = tapOn
| ~ epred1_3(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_159,plain,
( X1 = waterLevel(esk11_3(X2,X3,X1))
| X3 = tapOff
| X3 = overflow
| X3 = tapOn
| ~ epred1_3(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_160,plain,
( X1 = tapOn
| X1 = overflow
| X2 = waterLevel(esk10_3(X3,X1,X2))
| ~ epred1_3(X2,X1,X3) ),
inference(cn,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_161,plain,
( X2 = filling
| X1 = overflow
| X2 = waterLevel(esk10_3(X3,X1,X2))
| ~ epred1_3(X2,X1,X3) ),
inference(cn,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_162,plain,
( initiates(esk6_2(X1,X2),X1,X2)
| holdsAt(X1,X2)
| releasedAt(X1,plus(X2,n1))
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_163,plain,
( terminates(esk5_2(X1,X2),X1,X2)
| releasedAt(X1,plus(X2,n1))
| holdsAt(X1,plus(X2,n1))
| ~ holdsAt(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_164,plain,
( ~ happens(X1,X2)
| ~ terminates(X1,X3,X2)
| ~ holdsAt(X3,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_165,plain,
( ~ initiates(X1,X2,X3)
| ~ happens(X1,X3)
| ~ releasedAt(X2,plus(X3,n1)) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_166,plain,
( ~ terminates(X1,X2,X3)
| ~ happens(X1,X3)
| ~ releasedAt(X2,plus(X3,n1)) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_167,plain,
( releases(esk8_2(X1,X2),X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_168,plain,
( happens(esk6_2(X1,X2),X2)
| holdsAt(X1,X2)
| releasedAt(X1,plus(X2,n1))
| ~ holdsAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_169,plain,
( releasedAt(X3,plus(X2,n1))
| ~ happens(X1,X2)
| ~ releases(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_170,plain,
( holdsAt(X3,plus(X2,n1))
| ~ happens(X1,X2)
| ~ initiates(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_171,plain,
( epred1_3(X2,X1,X3)
| ~ initiates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_172,plain,
( initiates(X2,X1,X3)
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_173,plain,
( happens(esk5_2(X1,X2),X2)
| releasedAt(X1,plus(X2,n1))
| holdsAt(X1,plus(X2,n1))
| ~ holdsAt(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_174,plain,
( X1 = waterLevel(esk9_2(X2,X1))
| ~ releases(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_175,plain,
( happens(esk8_2(X1,X2),X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_176,plain,
( happens(esk7_2(X1,X2),X2)
| releasedAt(X1,plus(X2,n1))
| ~ releasedAt(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_177,plain,
( epred1_3(X4,X3,X2)
| ~ holdsAt(waterLevel(X1),X2)
| X3 != tapOff
| X4 != waterLevel(X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_178,plain,
( epred1_3(X4,X3,X2)
| ~ holdsAt(waterLevel(X1),X2)
| X3 != overflow
| X4 != waterLevel(X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_179,plain,
( X1 = overflow
| X1 = tapOff
| X2 = spilling
| X1 = tapOn
| ~ epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_180,plain,
( X1 = overflow
| X1 = tapOff
| X2 = spilling
| X2 = filling
| ~ epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_181,plain,
( X1 = tapOn
| X1 = overflow
| X1 = tapOff
| ~ epred1_3(X2,X1,X3) ),
inference(cn,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_182,plain,
( X2 = filling
| X1 = overflow
| X1 = tapOff
| ~ epred1_3(X2,X1,X3) ),
inference(cn,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_183,plain,
( X1 = overflow
| X1 = tapOff
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_184,plain,
( X1 = filling
| X2 = tapOff
| ~ terminates(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_185,plain,
( X1 = overflow
| X2 = filling
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_186,plain,
( X1 = filling
| ~ terminates(X2,X1,X3) ),
inference(cn,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_187,plain,
( X1 = tapOn
| ~ releases(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_188,plain,
( X1 = X3
| ~ holdsAt(waterLevel(X1),X2)
| ~ holdsAt(waterLevel(X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_189,plain,
( releases(X1,X2,X4)
| X1 != tapOn
| X2 != waterLevel(X3) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_190,plain,
( happens(X2,X1)
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| X2 != overflow ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_191,plain,
( epred1_3(X2,X1,X3)
| X1 != overflow
| X2 != spilling ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_192,plain,
( epred1_3(X2,X1,X3)
| X1 != tapOn
| X2 != filling ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_193,plain,
( terminates(X1,X2,X3)
| X1 != tapOff
| X2 != filling ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_194,plain,
( terminates(X1,X2,X3)
| X1 != overflow
| X2 != filling ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_195,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_196,plain,
( holdsAt(waterLevel(n3),X1)
| X1 = n0
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_197,plain,
( holdsAt(waterLevel(n3),X1)
| X2 = tapOn
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_198,plain,
( less(X1,X2)
| X1 = X2
| ~ less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_199,plain,
( holdsAt(filling,X1)
| X1 = n0
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_200,plain,
( holdsAt(filling,X1)
| X2 = tapOn
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_201,plain,
( less_or_equal(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_202,plain,
( less_or_equal(X1,n8)
| ~ less(X1,n9) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_203,plain,
( less_or_equal(X1,n7)
| ~ less(X1,n8) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_204,plain,
( less_or_equal(X1,n6)
| ~ less(X1,n7) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_205,plain,
( less_or_equal(X1,n5)
| ~ less(X1,n6) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_206,plain,
( less_or_equal(X1,n4)
| ~ less(X1,n5) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_207,plain,
( less_or_equal(X1,n2)
| ~ less(X1,n3) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_208,plain,
( less_or_equal(X1,n3)
| ~ less(X1,n4) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_209,plain,
( less_or_equal(X1,n1)
| ~ less(X1,n2) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_210,plain,
( less_or_equal(X1,n0)
| ~ less(X1,n1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_211,plain,
( less(X1,n9)
| ~ less_or_equal(X1,n8) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_212,plain,
( less(X1,n8)
| ~ less_or_equal(X1,n7) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_213,plain,
( less(X1,n7)
| ~ less_or_equal(X1,n6) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_214,plain,
( less(X1,n6)
| ~ less_or_equal(X1,n5) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_215,plain,
( less(X1,n5)
| ~ less_or_equal(X1,n4) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_216,plain,
( less(X1,n4)
| ~ less_or_equal(X1,n3) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_217,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_218,plain,
( less(X1,n3)
| ~ less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_219,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_220,plain,
( less(X1,X2)
| X1 = X2
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_221,hypothesis,
~ releasedAt(waterLevel(X1),n0),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_222,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_223,plain,
( X1 != X2
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_224,plain,
( X1 = overflow
| X1 = tapOn
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_225,plain,
( X1 = overflow
| X2 = n0
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_226,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_227,plain,
( happens(X1,X2)
| X1 != tapOn
| X2 != n0 ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_228,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_229,hypothesis,
~ releasedAt(spilling,n0),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_230,hypothesis,
~ releasedAt(filling,n0),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_231,hypothesis,
~ holdsAt(spilling,n0),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_232,hypothesis,
~ holdsAt(filling,n0),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_233,negated_conjecture,
~ happens(overflow,n3),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_234,lemma,
holdsAt(waterLevel(n3),n3),
inference(split_conjunct,[status(thm)],[waterLevel_3]),
[final] ).
cnf(i_0_235,hypothesis,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[waterLevel_0]),
[final] ).
cnf(i_0_236,plain,
( X1 = X2
| waterLevel(X1) != waterLevel(X2) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_237,lemma,
holdsAt(filling,n3),
inference(split_conjunct,[status(thm)],[filling_3]),
[final] ).
cnf(i_0_238,plain,
plus(n2,n2) = n4,
inference(split_conjunct,[status(thm)],[plus2_2]),
[final] ).
cnf(i_0_239,plain,
plus(n2,n3) = n5,
inference(split_conjunct,[status(thm)],[plus2_3]),
[final] ).
cnf(i_0_240,plain,
plus(n3,n3) = n6,
inference(split_conjunct,[status(thm)],[plus3_3]),
[final] ).
cnf(i_0_241,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[plus1_2]),
[final] ).
cnf(i_0_242,plain,
plus(n1,n3) = n4,
inference(split_conjunct,[status(thm)],[plus1_3]),
[final] ).
cnf(i_0_243,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[plus1_1]),
[final] ).
cnf(i_0_244,plain,
plus(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[plus0_2]),
[final] ).
cnf(i_0_245,plain,
plus(n0,n3) = n3,
inference(split_conjunct,[status(thm)],[plus0_3]),
[final] ).
cnf(i_0_246,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]),
[final] ).
cnf(i_0_247,plain,
plus(n0,n0) = n0,
inference(split_conjunct,[status(thm)],[plus0_0]),
[final] ).
cnf(i_0_248,plain,
spilling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_249,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_250,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[tapOff_not_overflow]),
[final] ).
cnf(i_0_251,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[tapOff_not_tapOn]),
[final] ).
cnf(i_0_252,plain,
filling != spilling,
inference(split_conjunct,[status(thm)],[filling_not_spilling]),
[final] ).
cnf(i_0_253,plain,
overflow != tapOn,
inference(split_conjunct,[status(thm)],[overflow_not_tapOn]),
[final] ).
cnf(i_0_254,axiom,
X1 = X1 ).
cnf(i_0_255,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_256,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_257,axiom,
( X1 != X2
| plus(X1,X3) = plus(X2,X3) ) ).
cnf(i_0_258,axiom,
( X1 != X2
| plus(X3,X1) = plus(X3,X2) ) ).
cnf(i_0_259,axiom,
( X1 != X2
| waterLevel(X1) = waterLevel(X2) ) ).
cnf(i_0_260,axiom,
( X1 != X2
| ~ startedIn(X1,X3,X4)
| startedIn(X2,X3,X4) ) ).
cnf(i_0_261,axiom,
( X1 != X2
| ~ startedIn(X3,X1,X4)
| startedIn(X3,X2,X4) ) ).
cnf(i_0_262,axiom,
( X1 != X2
| ~ startedIn(X3,X4,X1)
| startedIn(X3,X4,X2) ) ).
cnf(i_0_263,axiom,
( X1 != X2
| ~ epred1_3(X1,X3,X4)
| epred1_3(X2,X3,X4) ) ).
cnf(i_0_264,axiom,
( X1 != X2
| ~ epred1_3(X3,X1,X4)
| epred1_3(X3,X2,X4) ) ).
cnf(i_0_265,axiom,
( X1 != X2
| ~ epred1_3(X3,X4,X1)
| epred1_3(X3,X4,X2) ) ).
cnf(i_0_266,axiom,
( X1 != X2
| ~ releasedAt(X1,X3)
| releasedAt(X2,X3) ) ).
cnf(i_0_267,axiom,
( X1 != X2
| ~ releasedAt(X3,X1)
| releasedAt(X3,X2) ) ).
cnf(i_0_268,axiom,
( X1 != X2
| ~ releases(X1,X3,X4)
| releases(X2,X3,X4) ) ).
cnf(i_0_269,axiom,
( X1 != X2
| ~ releases(X3,X1,X4)
| releases(X3,X2,X4) ) ).
cnf(i_0_270,axiom,
( X1 != X2
| ~ releases(X3,X4,X1)
| releases(X3,X4,X2) ) ).
cnf(i_0_271,axiom,
( X1 != X2
| ~ less_or_equal(X1,X3)
| less_or_equal(X2,X3) ) ).
cnf(i_0_272,axiom,
( X1 != X2
| ~ less_or_equal(X3,X1)
| less_or_equal(X3,X2) ) ).
cnf(i_0_273,axiom,
( X1 != X2
| ~ holdsAt(X1,X3)
| holdsAt(X2,X3) ) ).
cnf(i_0_274,axiom,
( X1 != X2
| ~ holdsAt(X3,X1)
| holdsAt(X3,X2) ) ).
cnf(i_0_275,axiom,
( X1 != X2
| ~ happens(X1,X3)
| happens(X2,X3) ) ).
cnf(i_0_276,axiom,
( X1 != X2
| ~ happens(X3,X1)
| happens(X3,X2) ) ).
cnf(i_0_277,axiom,
( X1 != X2
| ~ terminates(X1,X3,X4)
| terminates(X2,X3,X4) ) ).
cnf(i_0_278,axiom,
( X1 != X2
| ~ terminates(X3,X1,X4)
| terminates(X3,X2,X4) ) ).
cnf(i_0_279,axiom,
( X1 != X2
| ~ terminates(X3,X4,X1)
| terminates(X3,X4,X2) ) ).
cnf(i_0_280,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_281,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_282,axiom,
( X1 != X2
| ~ antitrajectory(X1,X3,X4,X5)
| antitrajectory(X2,X3,X4,X5) ) ).
cnf(i_0_283,axiom,
( X1 != X2
| ~ antitrajectory(X3,X1,X4,X5)
| antitrajectory(X3,X2,X4,X5) ) ).
cnf(i_0_284,axiom,
( X1 != X2
| ~ antitrajectory(X3,X4,X1,X5)
| antitrajectory(X3,X4,X2,X5) ) ).
cnf(i_0_285,axiom,
( X1 != X2
| ~ antitrajectory(X3,X4,X5,X1)
| antitrajectory(X3,X4,X5,X2) ) ).
cnf(i_0_286,axiom,
( X1 != X2
| ~ stoppedIn(X1,X3,X4)
| stoppedIn(X2,X3,X4) ) ).
cnf(i_0_287,axiom,
( X1 != X2
| ~ stoppedIn(X3,X1,X4)
| stoppedIn(X3,X2,X4) ) ).
cnf(i_0_288,axiom,
( X1 != X2
| ~ stoppedIn(X3,X4,X1)
| stoppedIn(X3,X4,X2) ) ).
cnf(i_0_289,axiom,
( X1 != X2
| ~ initiates(X1,X3,X4)
| initiates(X2,X3,X4) ) ).
cnf(i_0_290,axiom,
( X1 != X2
| ~ initiates(X3,X1,X4)
| initiates(X3,X2,X4) ) ).
cnf(i_0_291,axiom,
( X1 != X2
| ~ initiates(X3,X4,X1)
| initiates(X3,X4,X2) ) ).
cnf(i_0_292,axiom,
( X1 != X2
| ~ trajectory(X1,X3,X4,X5)
| trajectory(X2,X3,X4,X5) ) ).
cnf(i_0_293,axiom,
( X1 != X2
| ~ trajectory(X3,X1,X4,X5)
| trajectory(X3,X2,X4,X5) ) ).
cnf(i_0_294,axiom,
( X1 != X2
| ~ trajectory(X3,X4,X1,X5)
| trajectory(X3,X4,X2,X5) ) ).
cnf(i_0_295,axiom,
( X1 != X2
| ~ trajectory(X3,X4,X5,X1)
| trajectory(X3,X4,X5,X2) ) ).
cnf(i_0_254_001,axiom,
X1 = X1 ).
cnf(i_0_255_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_256_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_257_004,axiom,
( X1 != X2
| plus(X1,X3) = plus(X2,X3) ) ).
cnf(i_0_258_005,axiom,
( X1 != X2
| plus(X3,X1) = plus(X3,X2) ) ).
cnf(i_0_259_006,axiom,
( X1 != X2
| waterLevel(X1) = waterLevel(X2) ) ).
cnf(i_0_260_007,axiom,
( X1 != X2
| ~ startedIn(X1,X3,X4)
| startedIn(X2,X3,X4) ) ).
cnf(i_0_261_008,axiom,
( X1 != X2
| ~ startedIn(X3,X1,X4)
| startedIn(X3,X2,X4) ) ).
cnf(i_0_262_009,axiom,
( X1 != X2
| ~ startedIn(X3,X4,X1)
| startedIn(X3,X4,X2) ) ).
cnf(i_0_263_010,axiom,
( X1 != X2
| ~ epred1_3(X1,X3,X4)
| epred1_3(X2,X3,X4) ) ).
cnf(i_0_264_011,axiom,
( X1 != X2
| ~ epred1_3(X3,X1,X4)
| epred1_3(X3,X2,X4) ) ).
cnf(i_0_265_012,axiom,
( X1 != X2
| ~ epred1_3(X3,X4,X1)
| epred1_3(X3,X4,X2) ) ).
cnf(i_0_266_013,axiom,
( X1 != X2
| ~ releasedAt(X1,X3)
| releasedAt(X2,X3) ) ).
cnf(i_0_267_014,axiom,
( X1 != X2
| ~ releasedAt(X3,X1)
| releasedAt(X3,X2) ) ).
cnf(i_0_268_015,axiom,
( X1 != X2
| ~ releases(X1,X3,X4)
| releases(X2,X3,X4) ) ).
cnf(i_0_269_016,axiom,
( X1 != X2
| ~ releases(X3,X1,X4)
| releases(X3,X2,X4) ) ).
cnf(i_0_270_017,axiom,
( X1 != X2
| ~ releases(X3,X4,X1)
| releases(X3,X4,X2) ) ).
cnf(i_0_271_018,axiom,
( X1 != X2
| ~ less_or_equal(X1,X3)
| less_or_equal(X2,X3) ) ).
cnf(i_0_272_019,axiom,
( X1 != X2
| ~ less_or_equal(X3,X1)
| less_or_equal(X3,X2) ) ).
cnf(i_0_273_020,axiom,
( X1 != X2
| ~ holdsAt(X1,X3)
| holdsAt(X2,X3) ) ).
cnf(i_0_274_021,axiom,
( X1 != X2
| ~ holdsAt(X3,X1)
| holdsAt(X3,X2) ) ).
cnf(i_0_275_022,axiom,
( X1 != X2
| ~ happens(X1,X3)
| happens(X2,X3) ) ).
cnf(i_0_276_023,axiom,
( X1 != X2
| ~ happens(X3,X1)
| happens(X3,X2) ) ).
cnf(i_0_277_024,axiom,
( X1 != X2
| ~ terminates(X1,X3,X4)
| terminates(X2,X3,X4) ) ).
cnf(i_0_278_025,axiom,
( X1 != X2
| ~ terminates(X3,X1,X4)
| terminates(X3,X2,X4) ) ).
cnf(i_0_279_026,axiom,
( X1 != X2
| ~ terminates(X3,X4,X1)
| terminates(X3,X4,X2) ) ).
cnf(i_0_280_027,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_281_028,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_282_029,axiom,
( X1 != X2
| ~ antitrajectory(X1,X3,X4,X5)
| antitrajectory(X2,X3,X4,X5) ) ).
cnf(i_0_283_030,axiom,
( X1 != X2
| ~ antitrajectory(X3,X1,X4,X5)
| antitrajectory(X3,X2,X4,X5) ) ).
cnf(i_0_284_031,axiom,
( X1 != X2
| ~ antitrajectory(X3,X4,X1,X5)
| antitrajectory(X3,X4,X2,X5) ) ).
cnf(i_0_285_032,axiom,
( X1 != X2
| ~ antitrajectory(X3,X4,X5,X1)
| antitrajectory(X3,X4,X5,X2) ) ).
cnf(i_0_286_033,axiom,
( X1 != X2
| ~ stoppedIn(X1,X3,X4)
| stoppedIn(X2,X3,X4) ) ).
cnf(i_0_287_034,axiom,
( X1 != X2
| ~ stoppedIn(X3,X1,X4)
| stoppedIn(X3,X2,X4) ) ).
cnf(i_0_288_035,axiom,
( X1 != X2
| ~ stoppedIn(X3,X4,X1)
| stoppedIn(X3,X4,X2) ) ).
cnf(i_0_289_036,axiom,
( X1 != X2
| ~ initiates(X1,X3,X4)
| initiates(X2,X3,X4) ) ).
cnf(i_0_290_037,axiom,
( X1 != X2
| ~ initiates(X3,X1,X4)
| initiates(X3,X2,X4) ) ).
cnf(i_0_291_038,axiom,
( X1 != X2
| ~ initiates(X3,X4,X1)
| initiates(X3,X4,X2) ) ).
cnf(i_0_292_039,axiom,
( X1 != X2
| ~ trajectory(X1,X3,X4,X5)
| trajectory(X2,X3,X4,X5) ) ).
cnf(i_0_293_040,axiom,
( X1 != X2
| ~ trajectory(X3,X1,X4,X5)
| trajectory(X3,X2,X4,X5) ) ).
cnf(i_0_294_041,axiom,
( X1 != X2
| ~ trajectory(X3,X4,X1,X5)
| trajectory(X3,X4,X2,X5) ) ).
cnf(i_0_295_042,axiom,
( X1 != X2
| ~ trajectory(X3,X4,X5,X1)
| trajectory(X3,X4,X5,X2) ) ).
cnf(i_0_296,plain,
( trajectory(filling,X1,waterLevel(plus(X2,X3)),X3)
| ~ holdsAt(waterLevel(X2),X1) ),
inference(equality_inference,[],[146]) ).
cnf(i_0_297,plain,
( happens(overflow,X1)
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1) ),
inference(equality_inference,[],[190]) ).
cnf(i_0_298,plain,
~ less(X1,X1),
inference(equality_inference,[],[223]) ).
cnf(i_0_299,plain,
less_or_equal(X1,X1),
inference(equality_inference,[],[228]) ).
cnf(i_0_300,plain,
X1 = X1,
inference(equality_inference,[],[236]) ).
cnf(i_0_301,plain,
$false,
inference(scs_inference,[],[i_0_233,i_0_237,i_0_234,i_0_297]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR004+2 : TPTP v9.2.1. Bugfixed v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n028.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 16:26:16 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 0.29/1.61 % Version : CSE_E---1.7
% 0.29/1.61 % Problem : theBenchmark.p
% 0.29/1.61 % SZS status Theorem for theBenchmark.p
% 0.29/1.61 % SZS output start CNFRefutation
% See solution above
% 0.29/1.64 % Total time : 1.269s
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