TSTP Solution File: CSR001+2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : CSR001+2 : TPTP v8.2.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 : Mon May 20 19:13:05 EDT 2024
% Result : Theorem 0.38s 0.98s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 26
% Syntax : Number of formulae : 178 ( 41 unt; 0 def)
% Number of atoms : 714 ( 261 equ)
% Maximal formula atoms : 194 ( 4 avg)
% Number of connectives : 782 ( 246 ~; 410 |; 103 &)
% ( 12 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-3 aty)
% Number of variables : 242 ( 18 sgn 109 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).
fof(happens_holds,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& initiates(X4,X2,X5) )
=> holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_holds) ).
fof(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).
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/sandbox2/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
fof(releases_all_defn,axiom,
! [X4,X2,X5] :
( releases(X4,X2,X5)
<=> ? [X9] :
( X4 = tapOn
& X2 = waterLevel(X9) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',releases_all_defn) ).
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/sandbox2/benchmark/Axioms/CSR001+0.ax',keep_holding) ).
fof(waterLevel_4,conjecture,
holdsAt(waterLevel(n3),n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_4) ).
fof(plus1_3,axiom,
plus(n1,n3) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_3) ).
fof(happens_releases,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& releases(X4,X2,X5) )
=> releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_releases) ).
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/sandbox2/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).
fof(waterLevel_3,lemma,
holdsAt(waterLevel(n3),n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_3) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
fof(plus1_1,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).
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/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_not_released) ).
fof(plus1_2,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_2) ).
fof(filling_not_waterLevel,axiom,
! [X12] : filling != waterLevel(X12),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).
fof(overflow_not_tapOn,axiom,
overflow != tapOn,
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',overflow_not_tapOn) ).
fof(happens_terminates_not_holds,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& terminates(X4,X2,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).
fof(terminates_all_defn,axiom,
! [X4,X2,X5] :
( terminates(X4,X2,X5)
<=> ( ( X4 = tapOff
& X2 = filling )
| ( X4 = overflow
& X2 = filling ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',terminates_all_defn) ).
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/sandbox2/benchmark/Axioms/CSR001+0.ax',keep_released) ).
fof(less_or_equal,axiom,
! [X12,X13] :
( less_or_equal(X12,X13)
<=> ( less(X12,X13)
| X12 = X13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).
fof(less3,axiom,
! [X12] :
( less(X12,n3)
<=> less_or_equal(X12,n2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3) ).
fof(less2,axiom,
! [X12] :
( less(X12,n2)
<=> less_or_equal(X12,n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).
fof(less_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
fof(less1,axiom,
! [X12] :
( less(X12,n1)
<=> less_or_equal(X12,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).
fof(c_0_25,plain,
! [X5,X4,X2] :
( epred1_3(X2,X4,X5)
<=> ( ( X4 = tapOn
& X2 = filling )
| ( X4 = overflow
& X2 = spilling )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = tapOff
& X2 = waterLevel(X9) )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = overflow
& X2 = waterLevel(X9) ) ) ),
introduced(definition) ).
fof(c_0_26,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_25]) ).
fof(c_0_27,plain,
! [X112,X113,X114,X117,X118,X119,X120,X121] :
( ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X113 = tapOff
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X113 = tapOff
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X113 = tapOff
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X113 = tapOff
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X113 = tapOff
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X113 = tapOff
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X113 = tapOff
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X113 = tapOff
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X113 = tapOff
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X113 = tapOff
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X113 = tapOff
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X113 = tapOff
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X118 != tapOn
| X119 != filling
| epred1_3(X119,X118,X117) )
& ( X118 != overflow
| X119 != spilling
| epred1_3(X119,X118,X117) )
& ( ~ holdsAt(waterLevel(X120),X117)
| X118 != tapOff
| X119 != waterLevel(X120)
| epred1_3(X119,X118,X117) )
& ( ~ holdsAt(waterLevel(X121),X117)
| X118 != overflow
| X119 != waterLevel(X121)
| epred1_3(X119,X118,X117) ) ),
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_25])])])])])])]) ).
fof(c_0_28,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_26])])]) ).
cnf(c_0_29,plain,
( epred1_3(X4,X3,X2)
| ~ holdsAt(waterLevel(X1),X2)
| X3 != overflow
| X4 != waterLevel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_30,plain,
! [X56,X57,X58] :
( ~ happens(X56,X57)
| ~ initiates(X56,X58,X57)
| holdsAt(X58,plus(X57,n1)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_holds])])]) ).
cnf(c_0_31,plain,
( initiates(X2,X1,X3)
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( epred1_3(waterLevel(X1),overflow,X2)
| ~ holdsAt(waterLevel(X1),X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_29])]) ).
cnf(c_0_33,plain,
( holdsAt(X3,plus(X2,n1))
| ~ happens(X1,X2)
| ~ initiates(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
( initiates(overflow,waterLevel(X1),X2)
| ~ holdsAt(waterLevel(X1),X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_35,plain,
! [X95,X96] : plus(X95,X96) = plus(X96,X95),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
cnf(c_0_36,plain,
( holdsAt(waterLevel(X1),plus(X2,n1))
| ~ holdsAt(waterLevel(X1),X2)
| ~ happens(overflow,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_38,plain,
! [X82,X83] :
( ( holdsAt(waterLevel(n3),X83)
| X82 = tapOn
| ~ happens(X82,X83) )
& ( holdsAt(filling,X83)
| X82 = tapOn
| ~ happens(X82,X83) )
& ( X82 = overflow
| X82 = tapOn
| ~ happens(X82,X83) )
& ( holdsAt(waterLevel(n3),X83)
| X83 = n0
| ~ happens(X82,X83) )
& ( holdsAt(filling,X83)
| X83 = n0
| ~ happens(X82,X83) )
& ( X82 = overflow
| X83 = n0
| ~ happens(X82,X83) )
& ( X82 != tapOn
| X83 != n0
| happens(X82,X83) )
& ( ~ holdsAt(waterLevel(n3),X83)
| ~ holdsAt(filling,X83)
| X82 != overflow
| happens(X82,X83) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])])]) ).
fof(c_0_39,plain,
! [X74,X75,X76,X78,X79,X80,X81] :
( ( X74 = tapOn
| ~ releases(X74,X75,X76) )
& ( X75 = waterLevel(esk9_2(X74,X75))
| ~ releases(X74,X75,X76) )
& ( X78 != tapOn
| X79 != waterLevel(X80)
| releases(X78,X79,X81) ) ),
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])])])])])])]) ).
fof(c_0_40,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(c_0_41,negated_conjecture,
~ holdsAt(waterLevel(n3),n4),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[waterLevel_4])]) ).
cnf(c_0_42,plain,
( holdsAt(waterLevel(X1),plus(n1,X2))
| ~ holdsAt(waterLevel(X1),X2)
| ~ happens(overflow,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
plus(n1,n3) = n4,
inference(split_conjunct,[status(thm)],[plus1_3]) ).
cnf(c_0_44,plain,
( happens(X2,X1)
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| X2 != overflow ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_45,plain,
! [X62,X63,X64] :
( ~ happens(X62,X63)
| ~ releases(X62,X64,X63)
| releasedAt(X64,plus(X63,n1)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_releases])])]) ).
cnf(c_0_46,plain,
( releases(X1,X2,X4)
| X1 != tapOn
| X2 != waterLevel(X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_47,plain,
! [X2,X5] :
( ( ~ releasedAt(X2,X5)
& ~ ? [X4] :
( happens(X4,X5)
& releases(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[keep_not_released]) ).
fof(c_0_48,plain,
! [X44,X45] :
( ( happens(esk5_2(X44,X45),X45)
| ~ holdsAt(X44,X45)
| releasedAt(X44,plus(X45,n1))
| holdsAt(X44,plus(X45,n1)) )
& ( terminates(esk5_2(X44,X45),X44,X45)
| ~ holdsAt(X44,X45)
| releasedAt(X44,plus(X45,n1))
| holdsAt(X44,plus(X45,n1)) ) ),
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_40])])])])]) ).
fof(c_0_49,negated_conjecture,
~ holdsAt(waterLevel(n3),n4),
inference(fof_nnf,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
( holdsAt(waterLevel(X1),n4)
| ~ holdsAt(waterLevel(X1),n3)
| ~ happens(overflow,n3) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_51,plain,
( happens(overflow,X1)
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1) ),
inference(er,[status(thm)],[c_0_44]) ).
cnf(c_0_52,lemma,
holdsAt(waterLevel(n3),n3),
inference(split_conjunct,[status(thm)],[waterLevel_3]) ).
cnf(c_0_53,plain,
( releasedAt(X3,plus(X2,n1))
| ~ happens(X1,X2)
| ~ releases(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_54,plain,
releases(tapOn,waterLevel(X1),X2),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_46])]) ).
cnf(c_0_55,plain,
( epred1_3(X2,X1,X3)
| X1 != tapOn
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_56,plain,
! [X53,X54] :
( ( happens(esk8_2(X53,X54),X54)
| releasedAt(X53,X54)
| ~ releasedAt(X53,plus(X54,n1)) )
& ( releases(esk8_2(X53,X54),X53,X54)
| releasedAt(X53,X54)
| ~ releasedAt(X53,plus(X54,n1)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])])]) ).
cnf(c_0_57,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)],[c_0_48]) ).
cnf(c_0_58,negated_conjecture,
~ holdsAt(waterLevel(n3),n4),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_59,plain,
( holdsAt(waterLevel(X1),n4)
| ~ holdsAt(waterLevel(X1),n3)
| ~ holdsAt(filling,n3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_60,plain,
( releasedAt(waterLevel(X1),plus(X2,n1))
| ~ happens(tapOn,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_61,plain,
epred1_3(filling,tapOn,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_55])]) ).
cnf(c_0_62,plain,
( happens(esk8_2(X1,X2),X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_63,plain,
( holdsAt(filling,X1)
| X2 = tapOn
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_64,lemma,
( releasedAt(waterLevel(n3),n4)
| happens(esk5_2(waterLevel(n3),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_57,c_0_52]),c_0_37]),c_0_43]),c_0_37]),c_0_43]),c_0_58]) ).
cnf(c_0_65,negated_conjecture,
~ holdsAt(filling,n3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_52])]) ).
cnf(c_0_66,plain,
( releasedAt(waterLevel(X1),plus(n1,X2))
| ~ happens(tapOn,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_37]) ).
cnf(c_0_67,plain,
initiates(tapOn,filling,X1),
inference(spm,[status(thm)],[c_0_31,c_0_61]) ).
cnf(c_0_68,plain,
( happens(X1,X2)
| X1 != tapOn
| X2 != n0 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_69,plain,
( releasedAt(X1,X2)
| happens(esk8_2(X1,X2),X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_62,c_0_37]) ).
cnf(c_0_70,lemma,
( esk5_2(waterLevel(n3),n3) = tapOn
| releasedAt(waterLevel(n3),n4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_71,plain,
( releasedAt(waterLevel(X1),n4)
| ~ happens(tapOn,n3) ),
inference(spm,[status(thm)],[c_0_66,c_0_43]) ).
cnf(c_0_72,plain,
( holdsAt(filling,plus(X1,n1))
| ~ happens(tapOn,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_67]) ).
cnf(c_0_73,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
cnf(c_0_74,plain,
happens(tapOn,n0),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_68])]) ).
cnf(c_0_75,plain,
( releases(esk8_2(X1,X2),X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_76,plain,
( releasedAt(X1,n3)
| happens(esk8_2(X1,n3),n3)
| ~ releasedAt(X1,n4) ),
inference(spm,[status(thm)],[c_0_69,c_0_43]) ).
cnf(c_0_77,lemma,
releasedAt(waterLevel(n3),n4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_70]),c_0_71]) ).
cnf(c_0_78,plain,
holdsAt(filling,n1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
cnf(c_0_79,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[plus1_1]) ).
fof(c_0_80,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]) ).
cnf(c_0_81,plain,
( releases(esk8_2(X1,X2),X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_75,c_0_37]) ).
cnf(c_0_82,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[plus1_2]) ).
cnf(c_0_83,plain,
( holdsAt(filling,X1)
| X1 = n0
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_84,lemma,
( releasedAt(waterLevel(n3),n3)
| happens(esk8_2(waterLevel(n3),n3),n3) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_85,plain,
( X1 = overflow
| X1 = tapOn
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_86,plain,
( releasedAt(filling,n2)
| holdsAt(filling,n2)
| happens(esk5_2(filling,n1),n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_78]),c_0_79]),c_0_79]) ).
fof(c_0_87,plain,
! [X65,X66,X67] :
( ( ~ initiates(X65,X67,X66)
| ~ happens(X65,X66)
| ~ releasedAt(X67,plus(X66,n1)) )
& ( ~ terminates(X65,X67,X66)
| ~ happens(X65,X66)
| ~ releasedAt(X67,plus(X66,n1)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])])]) ).
cnf(c_0_88,plain,
( releases(esk8_2(X1,n2),X1,n2)
| releasedAt(X1,n2)
| ~ releasedAt(X1,n3) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_89,lemma,
( n3 = n0
| releasedAt(waterLevel(n3),n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_65]) ).
cnf(c_0_90,plain,
( esk5_2(filling,n1) = overflow
| esk5_2(filling,n1) = tapOn
| releasedAt(filling,n2)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_91,plain,
( ~ initiates(X1,X2,X3)
| ~ happens(X1,X3)
| ~ releasedAt(X2,plus(X3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_92,plain,
( releasedAt(X1,n2)
| happens(esk8_2(X1,n2),n2)
| ~ releasedAt(X1,n3) ),
inference(spm,[status(thm)],[c_0_69,c_0_82]) ).
cnf(c_0_93,plain,
( X1 = tapOn
| ~ releases(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_94,lemma,
( n3 = n0
| releases(esk8_2(waterLevel(n3),n2),waterLevel(n3),n2)
| releasedAt(waterLevel(n3),n2) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_95,plain,
( esk5_2(filling,n1) = tapOn
| releasedAt(filling,n2)
| holdsAt(filling,n2)
| happens(overflow,n1) ),
inference(spm,[status(thm)],[c_0_86,c_0_90]) ).
cnf(c_0_96,plain,
( holdsAt(filling,n2)
| ~ happens(tapOn,n1) ),
inference(spm,[status(thm)],[c_0_72,c_0_79]) ).
cnf(c_0_97,plain,
( ~ releasedAt(X1,n1)
| ~ initiates(X2,X1,n0)
| ~ happens(X2,n0) ),
inference(spm,[status(thm)],[c_0_91,c_0_73]) ).
fof(c_0_98,plain,
! [X12] : filling != waterLevel(X12),
inference(fof_simplification,[status(thm)],[filling_not_waterLevel]) ).
cnf(c_0_99,plain,
( ~ releasedAt(X1,n2)
| ~ initiates(X2,X1,n1)
| ~ happens(X2,n1) ),
inference(spm,[status(thm)],[c_0_91,c_0_79]) ).
cnf(c_0_100,lemma,
( n3 = n0
| releasedAt(waterLevel(n3),n2)
| happens(esk8_2(waterLevel(n3),n2),n2) ),
inference(spm,[status(thm)],[c_0_92,c_0_89]) ).
cnf(c_0_101,lemma,
( esk8_2(waterLevel(n3),n2) = tapOn
| n3 = n0
| releasedAt(waterLevel(n3),n2) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_102,plain,
( releases(esk8_2(X1,n1),X1,n1)
| releasedAt(X1,n1)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_75,c_0_79]) ).
cnf(c_0_103,plain,
( releasedAt(filling,n2)
| holdsAt(filling,n2)
| happens(overflow,n1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_95]),c_0_96]) ).
cnf(c_0_104,plain,
~ releasedAt(filling,n1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_67]),c_0_74])]) ).
fof(c_0_105,plain,
! [X91] : filling != waterLevel(X91),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_98])]) ).
fof(c_0_106,plain,
overflow != tapOn,
inference(fof_simplification,[status(thm)],[overflow_not_tapOn]) ).
cnf(c_0_107,plain,
( ~ releasedAt(waterLevel(X1),n2)
| ~ holdsAt(waterLevel(X1),n1)
| ~ happens(overflow,n1) ),
inference(spm,[status(thm)],[c_0_99,c_0_34]) ).
cnf(c_0_108,lemma,
( n3 = n0
| releasedAt(waterLevel(n3),n2)
| happens(tapOn,n2) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_109,plain,
( X1 = waterLevel(esk9_2(X2,X1))
| ~ releases(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_110,plain,
( releases(esk8_2(filling,n1),filling,n1)
| holdsAt(filling,n2)
| happens(overflow,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).
cnf(c_0_111,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
fof(c_0_112,plain,
overflow != tapOn,
inference(fof_nnf,[status(thm)],[c_0_106]) ).
cnf(c_0_113,plain,
( n3 = n0
| happens(tapOn,n2)
| ~ holdsAt(waterLevel(n3),n1)
| ~ happens(overflow,n1) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_114,plain,
( holdsAt(waterLevel(n3),X1)
| X2 = tapOn
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_115,plain,
( holdsAt(filling,n2)
| happens(overflow,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
cnf(c_0_116,plain,
overflow != tapOn,
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_117,plain,
( holdsAt(filling,plus(n1,X1))
| ~ happens(tapOn,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_37]) ).
cnf(c_0_118,plain,
( n3 = n0
| happens(tapOn,n2)
| ~ holdsAt(waterLevel(n3),n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_51]),c_0_78])]) ).
cnf(c_0_119,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
fof(c_0_120,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]) ).
cnf(c_0_121,plain,
( holdsAt(filling,n3)
| ~ happens(tapOn,n2) ),
inference(spm,[status(thm)],[c_0_117,c_0_82]) ).
cnf(c_0_122,plain,
( n3 = n0
| holdsAt(filling,n2)
| happens(tapOn,n2) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
fof(c_0_123,plain,
! [X59,X60,X61] :
( ~ happens(X59,X60)
| ~ terminates(X59,X61,X60)
| ~ holdsAt(X61,plus(X60,n1)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_120])])]) ).
cnf(c_0_124,plain,
( ~ releasedAt(X1,plus(n1,X2))
| ~ initiates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_37]) ).
cnf(c_0_125,plain,
( n3 = n0
| holdsAt(filling,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_65]) ).
cnf(c_0_126,plain,
( ~ terminates(X1,X2,X3)
| ~ happens(X1,X3)
| ~ releasedAt(X2,plus(X3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
fof(c_0_127,plain,
! [X71,X72,X73] :
( ( X71 = overflow
| X71 = tapOff
| ~ terminates(X71,X72,X73) )
& ( X72 = filling
| X71 = tapOff
| ~ terminates(X71,X72,X73) )
& ( X71 = overflow
| X72 = filling
| ~ terminates(X71,X72,X73) )
& ( X72 = filling
| X72 = filling
| ~ terminates(X71,X72,X73) )
& ( X71 != tapOff
| X72 != filling
| terminates(X71,X72,X73) )
& ( X71 != overflow
| X72 != filling
| terminates(X71,X72,X73) ) ),
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_128,plain,
( ~ happens(X1,X2)
| ~ terminates(X1,X3,X2)
| ~ holdsAt(X3,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_129,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)],[c_0_48]) ).
cnf(c_0_130,plain,
( ~ releasedAt(X1,n3)
| ~ initiates(X2,X1,n2)
| ~ happens(X2,n2) ),
inference(spm,[status(thm)],[c_0_124,c_0_82]) ).
cnf(c_0_131,plain,
( n3 = n0
| releasedAt(filling,n3)
| happens(esk5_2(filling,n2),n2) ),
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_57,c_0_125]),c_0_37]),c_0_82]),c_0_37]),c_0_82]),c_0_65]) ).
cnf(c_0_132,plain,
( ~ releasedAt(X1,plus(n1,X2))
| ~ terminates(X3,X1,X2)
| ~ happens(X3,X2) ),
inference(spm,[status(thm)],[c_0_126,c_0_37]) ).
cnf(c_0_133,plain,
( terminates(X1,X2,X3)
| X1 != overflow
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_134,plain,
( ~ terminates(X1,filling,X2)
| ~ happens(tapOn,X2)
| ~ happens(X1,X2) ),
inference(spm,[status(thm)],[c_0_128,c_0_72]) ).
cnf(c_0_135,plain,
( n3 = n0
| releasedAt(filling,n3)
| terminates(esk5_2(filling,n2),filling,n2) ),
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_129,c_0_125]),c_0_37]),c_0_82]),c_0_37]),c_0_82]),c_0_65]) ).
cnf(c_0_136,plain,
( ~ releasedAt(filling,n3)
| ~ happens(tapOn,n2) ),
inference(spm,[status(thm)],[c_0_130,c_0_67]) ).
cnf(c_0_137,plain,
( esk5_2(filling,n2) = overflow
| esk5_2(filling,n2) = tapOn
| n3 = n0
| releasedAt(filling,n3) ),
inference(spm,[status(thm)],[c_0_85,c_0_131]) ).
cnf(c_0_138,plain,
( ~ releasedAt(X1,n3)
| ~ terminates(X2,X1,n2)
| ~ happens(X2,n2) ),
inference(spm,[status(thm)],[c_0_132,c_0_82]) ).
cnf(c_0_139,plain,
terminates(overflow,filling,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_133])]) ).
cnf(c_0_140,plain,
( esk5_2(filling,n2) = tapOn
| n3 = n0
| releasedAt(filling,n3)
| holdsAt(waterLevel(n3),n2) ),
inference(spm,[status(thm)],[c_0_114,c_0_131]) ).
cnf(c_0_141,plain,
( n3 = n0
| ~ happens(tapOn,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_131]),c_0_136]) ).
cnf(c_0_142,plain,
( ~ releasedAt(waterLevel(X1),n3)
| ~ holdsAt(waterLevel(X1),n2)
| ~ happens(overflow,n2) ),
inference(spm,[status(thm)],[c_0_130,c_0_34]) ).
fof(c_0_143,plain,
! [X50,X51] :
( ( happens(esk7_2(X50,X51),X51)
| ~ releasedAt(X50,X51)
| releasedAt(X50,plus(X51,n1)) )
& ( initiates(esk7_2(X50,X51),X50,X51)
| terminates(esk7_2(X50,X51),X50,X51)
| ~ releasedAt(X50,X51)
| releasedAt(X50,plus(X51,n1)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[keep_released])])])])]) ).
cnf(c_0_144,plain,
( esk5_2(filling,n2) = tapOn
| n3 = n0
| releasedAt(filling,n3)
| happens(overflow,n2) ),
inference(spm,[status(thm)],[c_0_131,c_0_137]) ).
cnf(c_0_145,plain,
( ~ releasedAt(filling,n3)
| ~ happens(overflow,n2) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_146,plain,
( n3 = n0
| releasedAt(filling,n3)
| holdsAt(waterLevel(n3),n2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_140]),c_0_141]) ).
cnf(c_0_147,plain,
( n3 = n0
| ~ holdsAt(waterLevel(n3),n2)
| ~ happens(overflow,n2) ),
inference(spm,[status(thm)],[c_0_142,c_0_89]) ).
cnf(c_0_148,plain,
( happens(esk7_2(X1,X2),X2)
| releasedAt(X1,plus(X2,n1))
| ~ releasedAt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_149,plain,
( n3 = n0
| releasedAt(filling,n3)
| happens(overflow,n2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_144]),c_0_141]) ).
cnf(c_0_150,plain,
( n3 = n0
| ~ happens(overflow,n2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]) ).
cnf(c_0_151,plain,
( n3 = n0
| releasedAt(filling,n4)
| happens(esk7_2(filling,n3),n3) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_37]),c_0_43]),c_0_150]) ).
cnf(c_0_152,plain,
( n3 = n0
| releasedAt(filling,n4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_151]),c_0_65]) ).
fof(c_0_153,plain,
! [X97,X98] :
( ( ~ less_or_equal(X97,X98)
| less(X97,X98)
| X97 = X98 )
& ( ~ less(X97,X98)
| less_or_equal(X97,X98) )
& ( 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])])])]) ).
cnf(c_0_154,plain,
( n3 = n0
| releasedAt(filling,n3)
| happens(esk8_2(filling,n3),n3) ),
inference(spm,[status(thm)],[c_0_76,c_0_152]) ).
fof(c_0_155,plain,
! [X102] :
( ( ~ less(X102,n3)
| less_or_equal(X102,n2) )
& ( ~ less_or_equal(X102,n2)
| less(X102,n3) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less3])])]) ).
fof(c_0_156,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_157,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_158,plain,
( n3 = n0
| releasedAt(filling,n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_154]),c_0_65]) ).
fof(c_0_159,plain,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
inference(fof_simplification,[status(thm)],[less_property]) ).
cnf(c_0_160,plain,
( less(X1,n3)
| ~ less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_161,plain,
( less_or_equal(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_162,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_163,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_157]) ).
cnf(c_0_164,plain,
( n3 = n0
| releases(esk8_2(filling,n2),filling,n2)
| releasedAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_88,c_0_158]) ).
fof(c_0_165,plain,
! [X109,X110] :
( ( ~ less(X110,X109)
| ~ less(X109,X110) )
& ( X110 != X109
| ~ less(X109,X110) )
& ( less(X110,X109)
| X110 = X109
| less(X109,X110) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_159])])])]) ).
cnf(c_0_166,plain,
( less(X1,n3)
| ~ less(X1,n2) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_167,plain,
less(n1,n2),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_168,plain,
( n3 = n0
| releasedAt(filling,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_164]),c_0_111]) ).
fof(c_0_169,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_170,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_171,plain,
less(n1,n3),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_172,plain,
( n3 = n0
| releases(esk8_2(filling,n1),filling,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_168]),c_0_104]) ).
cnf(c_0_173,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_174,plain,
~ less(n3,n1),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_175,plain,
n3 = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_172]),c_0_111]) ).
cnf(c_0_176,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_173,c_0_163]) ).
cnf(c_0_177,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_175]),c_0_176])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15 % Problem : CSR001+2 : TPTP v8.2.0. Bugfixed v3.1.0.
% 0.04/0.16 % Command : run_E %s %d THM
% 0.16/0.38 % Computer : n004.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sun May 19 02:33:38 EDT 2024
% 0.16/0.39 % CPUTime :
% 0.38/0.55 Running first-order theorem proving
% 0.38/0.55 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.98 # Version: 3.1.0
% 0.38/0.98 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.38/0.98 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.98 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.38/0.98 # Starting new_bool_3 with 300s (1) cores
% 0.38/0.98 # Starting new_bool_1 with 300s (1) cores
% 0.38/0.98 # Starting sh5l with 300s (1) cores
% 0.38/0.98 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 30548 completed with status 0
% 0.38/0.98 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.38/0.98 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.38/0.98 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.98 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.38/0.98 # No SInE strategy applied
% 0.38/0.98 # Search class: FGHSF-FSLM32-SFFFFFNN
% 0.38/0.98 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.38/0.98 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 811s (1) cores
% 0.38/0.98 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.38/0.98 # Starting new_bool_3 with 136s (1) cores
% 0.38/0.98 # Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 0.38/0.98 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 136s (1) cores
% 0.38/0.98 # U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with pid 30557 completed with status 0
% 0.38/0.98 # Result found by U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1
% 0.38/0.98 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.38/0.98 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.98 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.38/0.98 # No SInE strategy applied
% 0.38/0.98 # Search class: FGHSF-FSLM32-SFFFFFNN
% 0.38/0.98 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.38/0.98 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 811s (1) cores
% 0.38/0.98 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.38/0.98 # Starting new_bool_3 with 136s (1) cores
% 0.38/0.98 # Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 0.38/0.98 # Preprocessing time : 0.002 s
% 0.38/0.98 # Presaturation interreduction done
% 0.38/0.98
% 0.38/0.98 # Proof found!
% 0.38/0.98 # SZS status Theorem
% 0.38/0.98 # SZS output start CNFRefutation
% See solution above
% 0.38/0.98 # Parsed axioms : 56
% 0.38/0.98 # Removed by relevancy pruning/SinE : 0
% 0.38/0.98 # Initial clauses : 138
% 0.38/0.98 # Removed in clause preprocessing : 1
% 0.38/0.98 # Initial clauses in saturation : 137
% 0.38/0.98 # Processed clauses : 5552
% 0.38/0.98 # ...of these trivial : 2
% 0.38/0.98 # ...subsumed : 3761
% 0.38/0.98 # ...remaining for further processing : 1789
% 0.38/0.98 # Other redundant clauses eliminated : 20
% 0.38/0.98 # Clauses deleted for lack of memory : 0
% 0.38/0.98 # Backward-subsumed : 344
% 0.38/0.98 # Backward-rewritten : 396
% 0.38/0.98 # Generated clauses : 12244
% 0.38/0.98 # ...of the previous two non-redundant : 11364
% 0.38/0.98 # ...aggressively subsumed : 0
% 0.38/0.98 # Contextual simplify-reflections : 58
% 0.38/0.98 # Paramodulations : 12192
% 0.38/0.98 # Factorizations : 34
% 0.38/0.98 # NegExts : 0
% 0.38/0.98 # Equation resolutions : 26
% 0.38/0.98 # Disequality decompositions : 0
% 0.38/0.98 # Total rewrite steps : 2821
% 0.38/0.98 # ...of those cached : 2728
% 0.38/0.98 # Propositional unsat checks : 0
% 0.38/0.98 # Propositional check models : 0
% 0.38/0.98 # Propositional check unsatisfiable : 0
% 0.38/0.98 # Propositional clauses : 0
% 0.38/0.98 # Propositional clauses after purity: 0
% 0.38/0.98 # Propositional unsat core size : 0
% 0.38/0.98 # Propositional preprocessing time : 0.000
% 0.38/0.98 # Propositional encoding time : 0.000
% 0.38/0.98 # Propositional solver time : 0.000
% 0.38/0.98 # Success case prop preproc time : 0.000
% 0.38/0.98 # Success case prop encoding time : 0.000
% 0.38/0.98 # Success case prop solver time : 0.000
% 0.38/0.98 # Current number of processed clauses : 920
% 0.38/0.98 # Positive orientable unit clauses : 32
% 0.38/0.98 # Positive unorientable unit clauses: 1
% 0.38/0.98 # Negative unit clauses : 96
% 0.38/0.98 # Non-unit-clauses : 791
% 0.38/0.98 # Current number of unprocessed clauses: 5368
% 0.38/0.98 # ...number of literals in the above : 26153
% 0.38/0.98 # Current number of archived formulas : 0
% 0.38/0.98 # Current number of archived clauses : 857
% 0.38/0.98 # Clause-clause subsumption calls (NU) : 254077
% 0.38/0.98 # Rec. Clause-clause subsumption calls : 105517
% 0.38/0.98 # Non-unit clause-clause subsumptions : 3814
% 0.38/0.98 # Unit Clause-clause subsumption calls : 18066
% 0.38/0.98 # Rewrite failures with RHS unbound : 0
% 0.38/0.98 # BW rewrite match attempts : 58
% 0.38/0.98 # BW rewrite match successes : 54
% 0.38/0.98 # Condensation attempts : 0
% 0.38/0.98 # Condensation successes : 0
% 0.38/0.98 # Termbank termtop insertions : 203609
% 0.38/0.98 # Search garbage collected termcells : 1496
% 0.38/0.98
% 0.38/0.98 # -------------------------------------------------
% 0.38/0.98 # User time : 0.396 s
% 0.38/0.98 # System time : 0.014 s
% 0.38/0.98 # Total time : 0.410 s
% 0.38/0.98 # Maximum resident set size: 2124 pages
% 0.38/0.98
% 0.38/0.98 # -------------------------------------------------
% 0.38/0.98 # User time : 1.981 s
% 0.38/0.98 # System time : 0.046 s
% 0.38/0.98 # Total time : 2.027 s
% 0.38/0.98 # Maximum resident set size: 1760 pages
% 0.38/0.98 % E---3.1 exiting
% 0.38/0.98 % E exiting
%------------------------------------------------------------------------------