TSTP Solution File: CSR002+2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CSR002+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 : 600s
% DateTime : Fri Jul 15 21:56:30 EDT 2022
% Result : Theorem 0.59s 0.83s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 36
% Syntax : Number of formulae : 202 ( 61 unt; 0 def)
% Number of atoms : 540 ( 172 equ)
% Maximal formula atoms : 25 ( 2 avg)
% Number of connectives : 579 ( 241 ~; 279 |; 41 &)
% ( 15 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 234 ( 9 sgn 102 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(keep_not_holding,axiom,
! [Fluent,Time] :
( ( ~ holdsAt(Fluent,Time)
& ~ releasedAt(Fluent,plus(Time,n1))
& ~ ? [Event] :
( happens(Event,Time)
& initiates(Event,Fluent,Time) ) )
=> ~ holdsAt(Fluent,plus(Time,n1)) ) ).
fof(keep_not_released,axiom,
! [Fluent,Time] :
( ( ~ releasedAt(Fluent,Time)
& ~ ? [Event] :
( happens(Event,Time)
& releases(Event,Fluent,Time) ) )
=> ~ releasedAt(Fluent,plus(Time,n1)) ) ).
fof(happens_terminates_not_holds,axiom,
! [Event,Time,Fluent] :
( ( happens(Event,Time)
& terminates(Event,Fluent,Time) )
=> ~ holdsAt(Fluent,plus(Time,n1)) ) ).
fof(terminates_all_defn,axiom,
! [Event,Fluent,Time] :
( terminates(Event,Fluent,Time)
<=> ( ( Event = tapOff
& Fluent = filling )
| ( Event = overflow
& Fluent = filling ) ) ) ).
fof(releases_all_defn,axiom,
! [Event,Fluent,Time] :
( releases(Event,Fluent,Time)
<=> ? [Height] :
( Event = tapOn
& Fluent = waterLevel(Height) ) ) ).
fof(happens_all_defn,axiom,
! [Event,Time] :
( happens(Event,Time)
<=> ( ( Event = tapOn
& Time = n0 )
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& Event = overflow ) ) ) ).
fof(filling_not_waterLevel,axiom,
! [X] : filling != waterLevel(X) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1 ).
fof(plus1_1,axiom,
plus(n1,n1) = n2 ).
fof(plus1_2,axiom,
plus(n1,n2) = n3 ).
fof(plus1_3,axiom,
plus(n1,n3) = n4 ).
fof(symmetry_of_plus,axiom,
! [X,Y] : plus(X,Y) = plus(Y,X) ).
fof(less_or_equal,axiom,
! [X,Y] :
( less_or_equal(X,Y)
<=> ( less(X,Y)
| X = Y ) ) ).
fof(less0,axiom,
~ ? [X] : less(X,n0) ).
fof(less3,axiom,
! [X] :
( less(X,n3)
<=> less_or_equal(X,n2) ) ).
fof(not_released_filling_0,hypothesis,
~ releasedAt(filling,n0) ).
fof(waterLevel_3,lemma,
holdsAt(waterLevel(n3),n3) ).
fof(not_filling_4,conjecture,
~ holdsAt(filling,n4) ).
fof(subgoal_0,plain,
~ holdsAt(filling,n4),
inference(strip,[],[not_filling_4]) ).
fof(negate_0_0,plain,
~ ~ holdsAt(filling,n4),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X,Y] :
( ~ less_or_equal(X,Y)
<=> ( X != Y
& ~ less(X,Y) ) ),
inference(canonicalize,[],[less_or_equal]) ).
fof(normalize_0_1,plain,
! [X,Y] :
( ~ less_or_equal(X,Y)
<=> ( X != Y
& ~ less(X,Y) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ( X != Y
| less_or_equal(X,Y) )
& ( ~ less(X,Y)
| less_or_equal(X,Y) )
& ( ~ less_or_equal(X,Y)
| X = Y
| less(X,Y) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( X != Y
| less_or_equal(X,Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ less(X,n3)
<=> ~ less_or_equal(X,n2) ),
inference(canonicalize,[],[less3]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ less(X,n3)
<=> ~ less_or_equal(X,n2) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X] :
( ( ~ less(X,n3)
| less_or_equal(X,n2) )
& ( ~ less_or_equal(X,n2)
| less(X,n3) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ less_or_equal(X,n2)
| less(X,n3) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
holdsAt(waterLevel(n3),n3),
inference(canonicalize,[],[waterLevel_3]) ).
fof(normalize_0_9,plain,
! [Event,Time] :
( ~ happens(Event,Time)
<=> ( ( Event != tapOn
| Time != n0 )
& ( Event != overflow
| ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time) ) ) ),
inference(canonicalize,[],[happens_all_defn]) ).
fof(normalize_0_10,plain,
! [Event,Time] :
( ~ happens(Event,Time)
<=> ( ( Event != tapOn
| Time != n0 )
& ( Event != overflow
| ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time) ) ) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [Event,Time] :
( ( Event != tapOn
| Time != n0
| happens(Event,Time) )
& ( ~ happens(Event,Time)
| Event = overflow
| Event = tapOn )
& ( ~ happens(Event,Time)
| Event = overflow
| Time = n0 )
& ( ~ happens(Event,Time)
| Event = tapOn
| holdsAt(filling,Time) )
& ( ~ happens(Event,Time)
| Event = tapOn
| holdsAt(waterLevel(n3),Time) )
& ( ~ happens(Event,Time)
| Time = n0
| holdsAt(filling,Time) )
& ( ~ happens(Event,Time)
| Time = n0
| holdsAt(waterLevel(n3),Time) )
& ( Event != overflow
| ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time)
| happens(Event,Time) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [Event,Time] :
( Event != overflow
| ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time)
| happens(Event,Time) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [Event,Fluent,Time] :
( ~ releases(Event,Fluent,Time)
<=> ( Event != tapOn
| ! [Height] : Fluent != waterLevel(Height) ) ),
inference(canonicalize,[],[releases_all_defn]) ).
fof(normalize_0_14,plain,
! [Event,Fluent,Time] :
( ~ releases(Event,Fluent,Time)
<=> ( Event != tapOn
| ! [Height] : Fluent != waterLevel(Height) ) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [Event,Fluent,Height,Time] :
( ( ~ releases(Event,Fluent,Time)
| Event = tapOn )
& ( ~ releases(Event,Fluent,Time)
| Fluent = waterLevel(skolemFOFtoCNF_Height_2(Fluent)) )
& ( Event != tapOn
| Fluent != waterLevel(Height)
| releases(Event,Fluent,Time) ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [Event,Fluent,Time] :
( ~ releases(Event,Fluent,Time)
| Fluent = waterLevel(skolemFOFtoCNF_Height_2(Fluent)) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [Fluent,Time] :
( ~ releasedAt(Fluent,plus(Time,n1))
| releasedAt(Fluent,Time)
| ? [Event] :
( happens(Event,Time)
& releases(Event,Fluent,Time) ) ),
inference(canonicalize,[],[keep_not_released]) ).
fof(normalize_0_18,plain,
! [Fluent,Time] :
( ~ releasedAt(Fluent,plus(Time,n1))
| releasedAt(Fluent,Time)
| ? [Event] :
( happens(Event,Time)
& releases(Event,Fluent,Time) ) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [Fluent,Time] :
( ( ~ releasedAt(Fluent,plus(Time,n1))
| happens(skolemFOFtoCNF_Event_5(Fluent,Time),Time)
| releasedAt(Fluent,Time) )
& ( ~ releasedAt(Fluent,plus(Time,n1))
| releasedAt(Fluent,Time)
| releases(skolemFOFtoCNF_Event_5(Fluent,Time),Fluent,Time) ) ),
inference(clausify,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [Fluent,Time] :
( ~ releasedAt(Fluent,plus(Time,n1))
| releasedAt(Fluent,Time)
| releases(skolemFOFtoCNF_Event_5(Fluent,Time),Fluent,Time) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
plus(n0,n1) = n1,
inference(canonicalize,[],[plus0_1]) ).
fof(normalize_0_22,plain,
plus(n1,n1) = n2,
inference(canonicalize,[],[plus1_1]) ).
fof(normalize_0_23,plain,
! [X,Y] : plus(X,Y) = plus(Y,X),
inference(canonicalize,[],[symmetry_of_plus]) ).
fof(normalize_0_24,plain,
! [X,Y] : plus(X,Y) = plus(Y,X),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
plus(n1,n2) = n3,
inference(canonicalize,[],[plus1_2]) ).
fof(normalize_0_26,plain,
! [Event,Time] :
( ~ happens(Event,Time)
| Time = n0
| holdsAt(filling,Time) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_27,plain,
! [Fluent,Time] :
( ~ releasedAt(Fluent,plus(Time,n1))
| happens(skolemFOFtoCNF_Event_5(Fluent,Time),Time)
| releasedAt(Fluent,Time) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_28,plain,
plus(n1,n3) = n4,
inference(canonicalize,[],[plus1_3]) ).
fof(normalize_0_29,plain,
holdsAt(filling,n4),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_30,plain,
! [Fluent,Time] :
( ~ holdsAt(Fluent,plus(Time,n1))
| holdsAt(Fluent,Time)
| releasedAt(Fluent,plus(Time,n1))
| ? [Event] :
( happens(Event,Time)
& initiates(Event,Fluent,Time) ) ),
inference(canonicalize,[],[keep_not_holding]) ).
fof(normalize_0_31,plain,
! [Fluent,Time] :
( ~ holdsAt(Fluent,plus(Time,n1))
| holdsAt(Fluent,Time)
| releasedAt(Fluent,plus(Time,n1))
| ? [Event] :
( happens(Event,Time)
& initiates(Event,Fluent,Time) ) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [Fluent,Time] :
( ( ~ holdsAt(Fluent,plus(Time,n1))
| happens(skolemFOFtoCNF_Event_3(Fluent,Time),Time)
| holdsAt(Fluent,Time)
| releasedAt(Fluent,plus(Time,n1)) )
& ( ~ holdsAt(Fluent,plus(Time,n1))
| holdsAt(Fluent,Time)
| initiates(skolemFOFtoCNF_Event_3(Fluent,Time),Fluent,Time)
| releasedAt(Fluent,plus(Time,n1)) ) ),
inference(clausify,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [Fluent,Time] :
( ~ holdsAt(Fluent,plus(Time,n1))
| happens(skolemFOFtoCNF_Event_3(Fluent,Time),Time)
| holdsAt(Fluent,Time)
| releasedAt(Fluent,plus(Time,n1)) ),
inference(conjunct,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [X] : filling != waterLevel(X),
inference(canonicalize,[],[filling_not_waterLevel]) ).
fof(normalize_0_35,plain,
! [X] : filling != waterLevel(X),
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
~ releasedAt(filling,n0),
inference(canonicalize,[],[not_released_filling_0]) ).
fof(normalize_0_37,plain,
! [Event,Fluent,Time] :
( ~ terminates(Event,Fluent,Time)
<=> ( ( Event != overflow
| Fluent != filling )
& ( Event != tapOff
| Fluent != filling ) ) ),
inference(canonicalize,[],[terminates_all_defn]) ).
fof(normalize_0_38,plain,
! [Event,Fluent,Time] :
( ~ terminates(Event,Fluent,Time)
<=> ( ( Event != overflow
| Fluent != filling )
& ( Event != tapOff
| Fluent != filling ) ) ),
inference(specialize,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
! [Event,Fluent,Time] :
( ( ~ terminates(Event,Fluent,Time)
| Fluent = filling )
& ( Event != overflow
| Fluent != filling
| terminates(Event,Fluent,Time) )
& ( Event != tapOff
| Fluent != filling
| terminates(Event,Fluent,Time) )
& ( ~ terminates(Event,Fluent,Time)
| Event = overflow
| Event = tapOff )
& ( ~ terminates(Event,Fluent,Time)
| Event = overflow
| Fluent = filling )
& ( ~ terminates(Event,Fluent,Time)
| Event = tapOff
| Fluent = filling ) ),
inference(clausify,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
! [Event,Fluent,Time] :
( Event != overflow
| Fluent != filling
| terminates(Event,Fluent,Time) ),
inference(conjunct,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
! [Event,Fluent,Time] :
( ~ happens(Event,Time)
| ~ holdsAt(Fluent,plus(Time,n1))
| ~ terminates(Event,Fluent,Time) ),
inference(canonicalize,[],[happens_terminates_not_holds]) ).
fof(normalize_0_42,plain,
! [Event,Fluent,Time] :
( ~ happens(Event,Time)
| ~ holdsAt(Fluent,plus(Time,n1))
| ~ terminates(Event,Fluent,Time) ),
inference(specialize,[],[normalize_0_41]) ).
fof(normalize_0_43,plain,
! [X] : ~ less(X,n0),
inference(canonicalize,[],[less0]) ).
fof(normalize_0_44,plain,
! [X] : ~ less(X,n0),
inference(specialize,[],[normalize_0_43]) ).
cnf(refute_0_0,plain,
( X != Y
| less_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( Y != Y
| less_or_equal(Y,Y) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(Y))]]) ).
cnf(refute_0_2,plain,
Y = Y,
introduced(tautology,[refl,[$fot(Y)]]) ).
cnf(refute_0_3,plain,
less_or_equal(Y,Y),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
less_or_equal(n2,n2),
inference(subst,[],[refute_0_3:[bind(Y,$fot(n2))]]) ).
cnf(refute_0_5,plain,
( ~ less_or_equal(X,n2)
| less(X,n3) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_6,plain,
( ~ less_or_equal(n2,n2)
| less(n2,n3) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(n2))]]) ).
cnf(refute_0_7,plain,
less(n2,n3),
inference(resolve,[$cnf( less_or_equal(n2,n2) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
holdsAt(waterLevel(n3),n3),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_9,plain,
( Event != overflow
| ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time)
| happens(Event,Time) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( overflow != overflow
| ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time)
| happens(overflow,Time) ),
inference(subst,[],[refute_0_9:[bind(Event,$fot(overflow))]]) ).
cnf(refute_0_11,plain,
overflow = overflow,
introduced(tautology,[refl,[$fot(overflow)]]) ).
cnf(refute_0_12,plain,
( ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time)
| happens(overflow,Time) ),
inference(resolve,[$cnf( $equal(overflow,overflow) )],[refute_0_11,refute_0_10]) ).
cnf(refute_0_13,plain,
( ~ holdsAt(filling,n3)
| ~ holdsAt(waterLevel(n3),n3)
| happens(overflow,n3) ),
inference(subst,[],[refute_0_12:[bind(Time,$fot(n3))]]) ).
cnf(refute_0_14,plain,
( ~ holdsAt(filling,n3)
| happens(overflow,n3) ),
inference(resolve,[$cnf( holdsAt(waterLevel(n3),n3) )],[refute_0_8,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ releases(Event,Fluent,Time)
| Fluent = waterLevel(skolemFOFtoCNF_Height_2(Fluent)) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_16,plain,
( ~ releases(skolemFOFtoCNF_Event_5(filling,n0),filling,n0)
| filling = waterLevel(skolemFOFtoCNF_Height_2(filling)) ),
inference(subst,[],[refute_0_15:[bind(Event,$fot(skolemFOFtoCNF_Event_5(filling,n0))),bind(Fluent,$fot(filling)),bind(Time,$fot(n0))]]) ).
cnf(refute_0_17,plain,
( ~ releasedAt(Fluent,plus(Time,n1))
| releasedAt(Fluent,Time)
| releases(skolemFOFtoCNF_Event_5(Fluent,Time),Fluent,Time) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_18,plain,
( ~ releasedAt(X_195,plus(n0,n1))
| releasedAt(X_195,n0)
| releases(skolemFOFtoCNF_Event_5(X_195,n0),X_195,n0) ),
inference(subst,[],[refute_0_17:[bind(Fluent,$fot(X_195)),bind(Time,$fot(n0))]]) ).
cnf(refute_0_19,plain,
plus(n0,n1) = n1,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_20,plain,
( plus(n0,n1) != n1
| ~ releasedAt(X_195,n1)
| releasedAt(X_195,plus(n0,n1)) ),
introduced(tautology,[equality,[$cnf( ~ releasedAt(X_195,plus(n0,n1)) ),[1],$fot(n1)]]) ).
cnf(refute_0_21,plain,
( ~ releasedAt(X_195,n1)
| releasedAt(X_195,plus(n0,n1)) ),
inference(resolve,[$cnf( $equal(plus(n0,n1),n1) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ releasedAt(X_195,n1)
| releasedAt(X_195,n0)
| releases(skolemFOFtoCNF_Event_5(X_195,n0),X_195,n0) ),
inference(resolve,[$cnf( releasedAt(X_195,plus(n0,n1)) )],[refute_0_21,refute_0_18]) ).
cnf(refute_0_23,plain,
( ~ releasedAt(filling,n1)
| releasedAt(filling,n0)
| releases(skolemFOFtoCNF_Event_5(filling,n0),filling,n0) ),
inference(subst,[],[refute_0_22:[bind(X_195,$fot(filling))]]) ).
cnf(refute_0_24,plain,
( ~ releases(skolemFOFtoCNF_Event_5(filling,n1),filling,n1)
| filling = waterLevel(skolemFOFtoCNF_Height_2(filling)) ),
inference(subst,[],[refute_0_15:[bind(Event,$fot(skolemFOFtoCNF_Event_5(filling,n1))),bind(Fluent,$fot(filling)),bind(Time,$fot(n1))]]) ).
cnf(refute_0_25,plain,
( ~ releasedAt(X_195,plus(n1,n1))
| releasedAt(X_195,n1)
| releases(skolemFOFtoCNF_Event_5(X_195,n1),X_195,n1) ),
inference(subst,[],[refute_0_17:[bind(Fluent,$fot(X_195)),bind(Time,$fot(n1))]]) ).
cnf(refute_0_26,plain,
plus(n1,n1) = n2,
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_27,plain,
( plus(n1,n1) != n2
| ~ releasedAt(X_195,n2)
| releasedAt(X_195,plus(n1,n1)) ),
introduced(tautology,[equality,[$cnf( ~ releasedAt(X_195,plus(n1,n1)) ),[1],$fot(n2)]]) ).
cnf(refute_0_28,plain,
( ~ releasedAt(X_195,n2)
| releasedAt(X_195,plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(plus(n1,n1),n2) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ releasedAt(X_195,n2)
| releasedAt(X_195,n1)
| releases(skolemFOFtoCNF_Event_5(X_195,n1),X_195,n1) ),
inference(resolve,[$cnf( releasedAt(X_195,plus(n1,n1)) )],[refute_0_28,refute_0_25]) ).
cnf(refute_0_30,plain,
( ~ releasedAt(filling,n2)
| releasedAt(filling,n1)
| releases(skolemFOFtoCNF_Event_5(filling,n1),filling,n1) ),
inference(subst,[],[refute_0_29:[bind(X_195,$fot(filling))]]) ).
cnf(refute_0_31,plain,
( ~ releases(skolemFOFtoCNF_Event_5(filling,n2),filling,n2)
| filling = waterLevel(skolemFOFtoCNF_Height_2(filling)) ),
inference(subst,[],[refute_0_15:[bind(Event,$fot(skolemFOFtoCNF_Event_5(filling,n2))),bind(Fluent,$fot(filling)),bind(Time,$fot(n2))]]) ).
cnf(refute_0_32,plain,
( ~ releasedAt(X_195,plus(X_196,n1))
| releasedAt(X_195,X_196)
| releases(skolemFOFtoCNF_Event_5(X_195,X_196),X_195,X_196) ),
inference(subst,[],[refute_0_17:[bind(Fluent,$fot(X_195)),bind(Time,$fot(X_196))]]) ).
cnf(refute_0_33,plain,
plus(X,Y) = plus(Y,X),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_34,plain,
plus(n1,X_196) = plus(X_196,n1),
inference(subst,[],[refute_0_33:[bind(X,$fot(n1)),bind(Y,$fot(X_196))]]) ).
cnf(refute_0_35,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_36,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_37,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( plus(n1,X_196) != plus(X_196,n1)
| plus(X_196,n1) = plus(n1,X_196) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(plus(n1,X_196))),bind(Y0,$fot(plus(X_196,n1)))]]) ).
cnf(refute_0_39,plain,
plus(X_196,n1) = plus(n1,X_196),
inference(resolve,[$cnf( $equal(plus(n1,X_196),plus(X_196,n1)) )],[refute_0_34,refute_0_38]) ).
cnf(refute_0_40,plain,
( plus(X_196,n1) != plus(n1,X_196)
| ~ releasedAt(X_195,plus(n1,X_196))
| releasedAt(X_195,plus(X_196,n1)) ),
introduced(tautology,[equality,[$cnf( ~ releasedAt(X_195,plus(X_196,n1)) ),[1],$fot(plus(n1,X_196))]]) ).
cnf(refute_0_41,plain,
( ~ releasedAt(X_195,plus(n1,X_196))
| releasedAt(X_195,plus(X_196,n1)) ),
inference(resolve,[$cnf( $equal(plus(X_196,n1),plus(n1,X_196)) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ releasedAt(X_195,plus(n1,X_196))
| releasedAt(X_195,X_196)
| releases(skolemFOFtoCNF_Event_5(X_195,X_196),X_195,X_196) ),
inference(resolve,[$cnf( releasedAt(X_195,plus(X_196,n1)) )],[refute_0_41,refute_0_32]) ).
cnf(refute_0_43,plain,
( ~ releasedAt(X_307,plus(n1,n2))
| releasedAt(X_307,n2)
| releases(skolemFOFtoCNF_Event_5(X_307,n2),X_307,n2) ),
inference(subst,[],[refute_0_42:[bind(X_195,$fot(X_307)),bind(X_196,$fot(n2))]]) ).
cnf(refute_0_44,plain,
plus(n1,n2) = n3,
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_45,plain,
( plus(n1,n2) != n3
| ~ releasedAt(X_307,n3)
| releasedAt(X_307,plus(n1,n2)) ),
introduced(tautology,[equality,[$cnf( ~ releasedAt(X_307,plus(n1,n2)) ),[1],$fot(n3)]]) ).
cnf(refute_0_46,plain,
( ~ releasedAt(X_307,n3)
| releasedAt(X_307,plus(n1,n2)) ),
inference(resolve,[$cnf( $equal(plus(n1,n2),n3) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ releasedAt(X_307,n3)
| releasedAt(X_307,n2)
| releases(skolemFOFtoCNF_Event_5(X_307,n2),X_307,n2) ),
inference(resolve,[$cnf( releasedAt(X_307,plus(n1,n2)) )],[refute_0_46,refute_0_43]) ).
cnf(refute_0_48,plain,
( ~ releasedAt(filling,n3)
| releasedAt(filling,n2)
| releases(skolemFOFtoCNF_Event_5(filling,n2),filling,n2) ),
inference(subst,[],[refute_0_47:[bind(X_307,$fot(filling))]]) ).
cnf(refute_0_49,plain,
( ~ happens(Event,Time)
| Time = n0
| holdsAt(filling,Time) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_50,plain,
( ~ happens(skolemFOFtoCNF_Event_5(filling,n3),n3)
| n3 = n0
| holdsAt(filling,n3) ),
inference(subst,[],[refute_0_49:[bind(Event,$fot(skolemFOFtoCNF_Event_5(filling,n3))),bind(Time,$fot(n3))]]) ).
cnf(refute_0_51,plain,
( ~ releasedAt(Fluent,plus(Time,n1))
| happens(skolemFOFtoCNF_Event_5(Fluent,Time),Time)
| releasedAt(Fluent,Time) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_52,plain,
( ~ releasedAt(X_126,plus(X_127,n1))
| happens(skolemFOFtoCNF_Event_5(X_126,X_127),X_127)
| releasedAt(X_126,X_127) ),
inference(subst,[],[refute_0_51:[bind(Fluent,$fot(X_126)),bind(Time,$fot(X_127))]]) ).
cnf(refute_0_53,plain,
plus(n1,X_127) = plus(X_127,n1),
inference(subst,[],[refute_0_33:[bind(X,$fot(n1)),bind(Y,$fot(X_127))]]) ).
cnf(refute_0_54,plain,
( plus(n1,X_127) != plus(X_127,n1)
| plus(X_127,n1) = plus(n1,X_127) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(plus(n1,X_127))),bind(Y0,$fot(plus(X_127,n1)))]]) ).
cnf(refute_0_55,plain,
plus(X_127,n1) = plus(n1,X_127),
inference(resolve,[$cnf( $equal(plus(n1,X_127),plus(X_127,n1)) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
( plus(X_127,n1) != plus(n1,X_127)
| ~ releasedAt(X_126,plus(n1,X_127))
| releasedAt(X_126,plus(X_127,n1)) ),
introduced(tautology,[equality,[$cnf( ~ releasedAt(X_126,plus(X_127,n1)) ),[1],$fot(plus(n1,X_127))]]) ).
cnf(refute_0_57,plain,
( ~ releasedAt(X_126,plus(n1,X_127))
| releasedAt(X_126,plus(X_127,n1)) ),
inference(resolve,[$cnf( $equal(plus(X_127,n1),plus(n1,X_127)) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( ~ releasedAt(X_126,plus(n1,X_127))
| happens(skolemFOFtoCNF_Event_5(X_126,X_127),X_127)
| releasedAt(X_126,X_127) ),
inference(resolve,[$cnf( releasedAt(X_126,plus(X_127,n1)) )],[refute_0_57,refute_0_52]) ).
cnf(refute_0_59,plain,
( ~ releasedAt(X_293,plus(n1,n3))
| happens(skolemFOFtoCNF_Event_5(X_293,n3),n3)
| releasedAt(X_293,n3) ),
inference(subst,[],[refute_0_58:[bind(X_126,$fot(X_293)),bind(X_127,$fot(n3))]]) ).
cnf(refute_0_60,plain,
plus(n1,n3) = n4,
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_61,plain,
( plus(n1,n3) != n4
| ~ releasedAt(X_293,n4)
| releasedAt(X_293,plus(n1,n3)) ),
introduced(tautology,[equality,[$cnf( ~ releasedAt(X_293,plus(n1,n3)) ),[1],$fot(n4)]]) ).
cnf(refute_0_62,plain,
( ~ releasedAt(X_293,n4)
| releasedAt(X_293,plus(n1,n3)) ),
inference(resolve,[$cnf( $equal(plus(n1,n3),n4) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
( ~ releasedAt(X_293,n4)
| happens(skolemFOFtoCNF_Event_5(X_293,n3),n3)
| releasedAt(X_293,n3) ),
inference(resolve,[$cnf( releasedAt(X_293,plus(n1,n3)) )],[refute_0_62,refute_0_59]) ).
cnf(refute_0_64,plain,
( ~ releasedAt(filling,n4)
| happens(skolemFOFtoCNF_Event_5(filling,n3),n3)
| releasedAt(filling,n3) ),
inference(subst,[],[refute_0_63:[bind(X_293,$fot(filling))]]) ).
cnf(refute_0_65,plain,
( ~ happens(skolemFOFtoCNF_Event_3(filling,n3),n3)
| n3 = n0
| holdsAt(filling,n3) ),
inference(subst,[],[refute_0_49:[bind(Event,$fot(skolemFOFtoCNF_Event_3(filling,n3))),bind(Time,$fot(n3))]]) ).
cnf(refute_0_66,plain,
holdsAt(filling,n4),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_67,plain,
( ~ holdsAt(Fluent,plus(Time,n1))
| happens(skolemFOFtoCNF_Event_3(Fluent,Time),Time)
| holdsAt(Fluent,Time)
| releasedAt(Fluent,plus(Time,n1)) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_68,plain,
( ~ holdsAt(X_477,plus(X_478,n1))
| happens(skolemFOFtoCNF_Event_3(X_477,X_478),X_478)
| holdsAt(X_477,X_478)
| releasedAt(X_477,plus(X_478,n1)) ),
inference(subst,[],[refute_0_67:[bind(Fluent,$fot(X_477)),bind(Time,$fot(X_478))]]) ).
cnf(refute_0_69,plain,
plus(n1,X_478) = plus(X_478,n1),
inference(subst,[],[refute_0_33:[bind(X,$fot(n1)),bind(Y,$fot(X_478))]]) ).
cnf(refute_0_70,plain,
( plus(n1,X_478) != plus(X_478,n1)
| plus(X_478,n1) = plus(n1,X_478) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(plus(n1,X_478))),bind(Y0,$fot(plus(X_478,n1)))]]) ).
cnf(refute_0_71,plain,
plus(X_478,n1) = plus(n1,X_478),
inference(resolve,[$cnf( $equal(plus(n1,X_478),plus(X_478,n1)) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
( plus(X_478,n1) != plus(n1,X_478)
| ~ holdsAt(X_477,plus(n1,X_478))
| holdsAt(X_477,plus(X_478,n1)) ),
introduced(tautology,[equality,[$cnf( ~ holdsAt(X_477,plus(X_478,n1)) ),[1],$fot(plus(n1,X_478))]]) ).
cnf(refute_0_73,plain,
( ~ holdsAt(X_477,plus(n1,X_478))
| holdsAt(X_477,plus(X_478,n1)) ),
inference(resolve,[$cnf( $equal(plus(X_478,n1),plus(n1,X_478)) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ holdsAt(X_477,plus(n1,X_478))
| happens(skolemFOFtoCNF_Event_3(X_477,X_478),X_478)
| holdsAt(X_477,X_478)
| releasedAt(X_477,plus(X_478,n1)) ),
inference(resolve,[$cnf( holdsAt(X_477,plus(X_478,n1)) )],[refute_0_73,refute_0_68]) ).
cnf(refute_0_75,plain,
( ~ holdsAt(X_592,plus(n1,n3))
| happens(skolemFOFtoCNF_Event_3(X_592,n3),n3)
| holdsAt(X_592,n3)
| releasedAt(X_592,plus(n3,n1)) ),
inference(subst,[],[refute_0_74:[bind(X_477,$fot(X_592)),bind(X_478,$fot(n3))]]) ).
cnf(refute_0_76,plain,
( plus(n1,n3) != n4
| ~ holdsAt(X_592,n4)
| holdsAt(X_592,plus(n1,n3)) ),
introduced(tautology,[equality,[$cnf( ~ holdsAt(X_592,plus(n1,n3)) ),[1],$fot(n4)]]) ).
cnf(refute_0_77,plain,
( ~ holdsAt(X_592,n4)
| holdsAt(X_592,plus(n1,n3)) ),
inference(resolve,[$cnf( $equal(plus(n1,n3),n4) )],[refute_0_60,refute_0_76]) ).
cnf(refute_0_78,plain,
( ~ holdsAt(X_592,n4)
| happens(skolemFOFtoCNF_Event_3(X_592,n3),n3)
| holdsAt(X_592,n3)
| releasedAt(X_592,plus(n3,n1)) ),
inference(resolve,[$cnf( holdsAt(X_592,plus(n1,n3)) )],[refute_0_77,refute_0_75]) ).
cnf(refute_0_79,plain,
( plus(X,Y) != plus(Y,X)
| plus(Y,X) = plus(X,Y) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(plus(X,Y))),bind(Y0,$fot(plus(Y,X)))]]) ).
cnf(refute_0_80,plain,
plus(Y,X) = plus(X,Y),
inference(resolve,[$cnf( $equal(plus(X,Y),plus(Y,X)) )],[refute_0_33,refute_0_79]) ).
cnf(refute_0_81,plain,
plus(n3,n1) = plus(n1,n3),
inference(subst,[],[refute_0_80:[bind(X,$fot(n1)),bind(Y,$fot(n3))]]) ).
cnf(refute_0_82,plain,
( Y0 != X0
| Y0 != Z
| X0 = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z) ),[0],$fot(X0)]]) ).
cnf(refute_0_83,plain,
( X0 != Y0
| Y0 != Z
| X0 = Z ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_37,refute_0_82]) ).
cnf(refute_0_84,plain,
( plus(n1,n3) != n4
| plus(n3,n1) != plus(n1,n3)
| plus(n3,n1) = n4 ),
inference(subst,[],[refute_0_83:[bind(X0,$fot(plus(n3,n1))),bind(Y0,$fot(plus(n1,n3))),bind(Z,$fot(n4))]]) ).
cnf(refute_0_85,plain,
( plus(n1,n3) != n4
| plus(n3,n1) = n4 ),
inference(resolve,[$cnf( $equal(plus(n3,n1),plus(n1,n3)) )],[refute_0_81,refute_0_84]) ).
cnf(refute_0_86,plain,
plus(n3,n1) = n4,
inference(resolve,[$cnf( $equal(plus(n1,n3),n4) )],[refute_0_60,refute_0_85]) ).
cnf(refute_0_87,plain,
( plus(n3,n1) != n4
| ~ releasedAt(X_592,plus(n3,n1))
| releasedAt(X_592,n4) ),
introduced(tautology,[equality,[$cnf( releasedAt(X_592,plus(n3,n1)) ),[1],$fot(n4)]]) ).
cnf(refute_0_88,plain,
( ~ releasedAt(X_592,plus(n3,n1))
| releasedAt(X_592,n4) ),
inference(resolve,[$cnf( $equal(plus(n3,n1),n4) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
( ~ holdsAt(X_592,n4)
| happens(skolemFOFtoCNF_Event_3(X_592,n3),n3)
| holdsAt(X_592,n3)
| releasedAt(X_592,n4) ),
inference(resolve,[$cnf( releasedAt(X_592,plus(n3,n1)) )],[refute_0_78,refute_0_88]) ).
cnf(refute_0_90,plain,
( ~ holdsAt(filling,n4)
| happens(skolemFOFtoCNF_Event_3(filling,n3),n3)
| holdsAt(filling,n3)
| releasedAt(filling,n4) ),
inference(subst,[],[refute_0_89:[bind(X_592,$fot(filling))]]) ).
cnf(refute_0_91,plain,
( happens(skolemFOFtoCNF_Event_3(filling,n3),n3)
| holdsAt(filling,n3)
| releasedAt(filling,n4) ),
inference(resolve,[$cnf( holdsAt(filling,n4) )],[refute_0_66,refute_0_90]) ).
cnf(refute_0_92,plain,
( n3 = n0
| holdsAt(filling,n3)
| releasedAt(filling,n4) ),
inference(resolve,[$cnf( happens(skolemFOFtoCNF_Event_3(filling,n3),n3) )],[refute_0_91,refute_0_65]) ).
cnf(refute_0_93,plain,
( n3 = n0
| happens(skolemFOFtoCNF_Event_5(filling,n3),n3)
| holdsAt(filling,n3)
| releasedAt(filling,n3) ),
inference(resolve,[$cnf( releasedAt(filling,n4) )],[refute_0_92,refute_0_64]) ).
cnf(refute_0_94,plain,
( n3 = n0
| holdsAt(filling,n3)
| releasedAt(filling,n3) ),
inference(resolve,[$cnf( happens(skolemFOFtoCNF_Event_5(filling,n3),n3) )],[refute_0_93,refute_0_50]) ).
cnf(refute_0_95,plain,
( n3 = n0
| holdsAt(filling,n3)
| releasedAt(filling,n2)
| releases(skolemFOFtoCNF_Event_5(filling,n2),filling,n2) ),
inference(resolve,[$cnf( releasedAt(filling,n3) )],[refute_0_94,refute_0_48]) ).
cnf(refute_0_96,plain,
( filling = waterLevel(skolemFOFtoCNF_Height_2(filling))
| n3 = n0
| holdsAt(filling,n3)
| releasedAt(filling,n2) ),
inference(resolve,[$cnf( releases(skolemFOFtoCNF_Event_5(filling,n2),filling,n2) )],[refute_0_95,refute_0_31]) ).
cnf(refute_0_97,plain,
filling != waterLevel(X),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_98,plain,
filling != waterLevel(skolemFOFtoCNF_Height_2(filling)),
inference(subst,[],[refute_0_97:[bind(X,$fot(skolemFOFtoCNF_Height_2(filling)))]]) ).
cnf(refute_0_99,plain,
( n3 = n0
| holdsAt(filling,n3)
| releasedAt(filling,n2) ),
inference(resolve,[$cnf( $equal(filling,waterLevel(skolemFOFtoCNF_Height_2(filling))) )],[refute_0_96,refute_0_98]) ).
cnf(refute_0_100,plain,
( n3 = n0
| holdsAt(filling,n3)
| releasedAt(filling,n1)
| releases(skolemFOFtoCNF_Event_5(filling,n1),filling,n1) ),
inference(resolve,[$cnf( releasedAt(filling,n2) )],[refute_0_99,refute_0_30]) ).
cnf(refute_0_101,plain,
( filling = waterLevel(skolemFOFtoCNF_Height_2(filling))
| n3 = n0
| holdsAt(filling,n3)
| releasedAt(filling,n1) ),
inference(resolve,[$cnf( releases(skolemFOFtoCNF_Event_5(filling,n1),filling,n1) )],[refute_0_100,refute_0_24]) ).
cnf(refute_0_102,plain,
( n3 = n0
| holdsAt(filling,n3)
| releasedAt(filling,n1) ),
inference(resolve,[$cnf( $equal(filling,waterLevel(skolemFOFtoCNF_Height_2(filling))) )],[refute_0_101,refute_0_98]) ).
cnf(refute_0_103,plain,
( n3 = n0
| holdsAt(filling,n3)
| releasedAt(filling,n0)
| releases(skolemFOFtoCNF_Event_5(filling,n0),filling,n0) ),
inference(resolve,[$cnf( releasedAt(filling,n1) )],[refute_0_102,refute_0_23]) ).
cnf(refute_0_104,plain,
~ releasedAt(filling,n0),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_105,plain,
( n3 = n0
| holdsAt(filling,n3)
| releases(skolemFOFtoCNF_Event_5(filling,n0),filling,n0) ),
inference(resolve,[$cnf( releasedAt(filling,n0) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
( filling = waterLevel(skolemFOFtoCNF_Height_2(filling))
| n3 = n0
| holdsAt(filling,n3) ),
inference(resolve,[$cnf( releases(skolemFOFtoCNF_Event_5(filling,n0),filling,n0) )],[refute_0_105,refute_0_16]) ).
cnf(refute_0_107,plain,
( n3 = n0
| holdsAt(filling,n3) ),
inference(resolve,[$cnf( $equal(filling,waterLevel(skolemFOFtoCNF_Height_2(filling))) )],[refute_0_106,refute_0_98]) ).
cnf(refute_0_108,plain,
( n3 = n0
| happens(overflow,n3) ),
inference(resolve,[$cnf( holdsAt(filling,n3) )],[refute_0_107,refute_0_14]) ).
cnf(refute_0_109,plain,
( Event != overflow
| Fluent != filling
| terminates(Event,Fluent,Time) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_110,plain,
( filling != filling
| overflow != overflow
| terminates(overflow,filling,Time) ),
inference(subst,[],[refute_0_109:[bind(Event,$fot(overflow)),bind(Fluent,$fot(filling))]]) ).
cnf(refute_0_111,plain,
filling = filling,
introduced(tautology,[refl,[$fot(filling)]]) ).
cnf(refute_0_112,plain,
( overflow != overflow
| terminates(overflow,filling,Time) ),
inference(resolve,[$cnf( $equal(filling,filling) )],[refute_0_111,refute_0_110]) ).
cnf(refute_0_113,plain,
terminates(overflow,filling,Time),
inference(resolve,[$cnf( $equal(overflow,overflow) )],[refute_0_11,refute_0_112]) ).
cnf(refute_0_114,plain,
terminates(overflow,filling,n3),
inference(subst,[],[refute_0_113:[bind(Time,$fot(n3))]]) ).
cnf(refute_0_115,plain,
( ~ happens(Event,Time)
| ~ holdsAt(Fluent,plus(Time,n1))
| ~ terminates(Event,Fluent,Time) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_116,plain,
( ~ happens(X_242,X_244)
| ~ holdsAt(X_243,plus(X_244,n1))
| ~ terminates(X_242,X_243,X_244) ),
inference(subst,[],[refute_0_115:[bind(Event,$fot(X_242)),bind(Fluent,$fot(X_243)),bind(Time,$fot(X_244))]]) ).
cnf(refute_0_117,plain,
plus(n1,X_244) = plus(X_244,n1),
inference(subst,[],[refute_0_33:[bind(X,$fot(n1)),bind(Y,$fot(X_244))]]) ).
cnf(refute_0_118,plain,
( plus(n1,X_244) != plus(X_244,n1)
| plus(X_244,n1) = plus(n1,X_244) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(plus(n1,X_244))),bind(Y0,$fot(plus(X_244,n1)))]]) ).
cnf(refute_0_119,plain,
plus(X_244,n1) = plus(n1,X_244),
inference(resolve,[$cnf( $equal(plus(n1,X_244),plus(X_244,n1)) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
( plus(X_244,n1) != plus(n1,X_244)
| ~ holdsAt(X_243,plus(n1,X_244))
| holdsAt(X_243,plus(X_244,n1)) ),
introduced(tautology,[equality,[$cnf( ~ holdsAt(X_243,plus(X_244,n1)) ),[1],$fot(plus(n1,X_244))]]) ).
cnf(refute_0_121,plain,
( ~ holdsAt(X_243,plus(n1,X_244))
| holdsAt(X_243,plus(X_244,n1)) ),
inference(resolve,[$cnf( $equal(plus(X_244,n1),plus(n1,X_244)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( ~ happens(X_242,X_244)
| ~ holdsAt(X_243,plus(n1,X_244))
| ~ terminates(X_242,X_243,X_244) ),
inference(resolve,[$cnf( holdsAt(X_243,plus(X_244,n1)) )],[refute_0_121,refute_0_116]) ).
cnf(refute_0_123,plain,
( ~ happens(X_390,n3)
| ~ holdsAt(X_391,plus(n1,n3))
| ~ terminates(X_390,X_391,n3) ),
inference(subst,[],[refute_0_122:[bind(X_242,$fot(X_390)),bind(X_243,$fot(X_391)),bind(X_244,$fot(n3))]]) ).
cnf(refute_0_124,plain,
( plus(n1,n3) != n4
| ~ holdsAt(X_391,n4)
| holdsAt(X_391,plus(n1,n3)) ),
introduced(tautology,[equality,[$cnf( ~ holdsAt(X_391,plus(n1,n3)) ),[1],$fot(n4)]]) ).
cnf(refute_0_125,plain,
( ~ holdsAt(X_391,n4)
| holdsAt(X_391,plus(n1,n3)) ),
inference(resolve,[$cnf( $equal(plus(n1,n3),n4) )],[refute_0_60,refute_0_124]) ).
cnf(refute_0_126,plain,
( ~ happens(X_390,n3)
| ~ holdsAt(X_391,n4)
| ~ terminates(X_390,X_391,n3) ),
inference(resolve,[$cnf( holdsAt(X_391,plus(n1,n3)) )],[refute_0_125,refute_0_123]) ).
cnf(refute_0_127,plain,
( ~ happens(overflow,n3)
| ~ holdsAt(filling,n4)
| ~ terminates(overflow,filling,n3) ),
inference(subst,[],[refute_0_126:[bind(X_390,$fot(overflow)),bind(X_391,$fot(filling))]]) ).
cnf(refute_0_128,plain,
( ~ happens(overflow,n3)
| ~ holdsAt(filling,n4) ),
inference(resolve,[$cnf( terminates(overflow,filling,n3) )],[refute_0_114,refute_0_127]) ).
cnf(refute_0_129,plain,
~ happens(overflow,n3),
inference(resolve,[$cnf( holdsAt(filling,n4) )],[refute_0_66,refute_0_128]) ).
cnf(refute_0_130,plain,
n3 = n0,
inference(resolve,[$cnf( happens(overflow,n3) )],[refute_0_108,refute_0_129]) ).
cnf(refute_0_131,plain,
( n3 != n0
| ~ less(n2,n3)
| less(n2,n0) ),
introduced(tautology,[equality,[$cnf( less(n2,n3) ),[1],$fot(n0)]]) ).
cnf(refute_0_132,plain,
( ~ less(n2,n3)
| less(n2,n0) ),
inference(resolve,[$cnf( $equal(n3,n0) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
less(n2,n0),
inference(resolve,[$cnf( less(n2,n3) )],[refute_0_7,refute_0_132]) ).
cnf(refute_0_134,plain,
~ less(X,n0),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_135,plain,
~ less(n2,n0),
inference(subst,[],[refute_0_134:[bind(X,$fot(n2))]]) ).
cnf(refute_0_136,plain,
$false,
inference(resolve,[$cnf( less(n2,n0) )],[refute_0_133,refute_0_135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR002+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 11 17:34:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.59/0.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.83
% 0.59/0.83 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.59/0.84
%------------------------------------------------------------------------------