%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR002+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:06:30 AM UTC 2026
% Result : Theorem 2.11s 0.66s
% Output : CNFRefutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 23
% Syntax : Number of formulae : 115 ( 43 unt; 0 def)
% Number of atoms : 286 ( 89 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 265 ( 94 ~; 125 |; 32 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-3 aty)
% Number of variables : 157 ( 18 sgn 67 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(keep_not_holding,axiom,
! [Fluent,Time] :
( ( ~ ? [Event] :
( initiates(Event,Fluent,Time)
& happens(Event,Time) )
& ~ releasedAt(Fluent,plus(Time,n1))
& ~ holdsAt(Fluent,Time) )
=> ~ holdsAt(Fluent,plus(Time,n1)) ),
file('theBenchmark.p',keep_not_holding) ).
fof(keep_not_released,axiom,
! [Fluent,Time] :
( ( ~ ? [Event] :
( releases(Event,Fluent,Time)
& happens(Event,Time) )
& ~ releasedAt(Fluent,Time) )
=> ~ releasedAt(Fluent,plus(Time,n1)) ),
file('theBenchmark.p',keep_not_released) ).
fof(happens_terminates_not_holds,axiom,
! [Event,Time,Fluent] :
( ( terminates(Event,Fluent,Time)
& happens(Event,Time) )
=> ~ holdsAt(Fluent,plus(Time,n1)) ),
file('theBenchmark.p',happens_terminates_not_holds) ).
fof(happens_not_released,axiom,
! [Event,Time,Fluent] :
( ( ( terminates(Event,Fluent,Time)
| initiates(Event,Fluent,Time) )
& happens(Event,Time) )
=> ~ releasedAt(Fluent,plus(Time,n1)) ),
file('theBenchmark.p',happens_not_released) ).
fof(initiates_all_defn,axiom,
! [Event,Fluent,Time] :
( initiates(Event,Fluent,Time)
<=> ( ? [Height] :
( Fluent = waterLevel(Height)
& Event = overflow
& holdsAt(waterLevel(Height),Time) )
| ? [Height] :
( Fluent = waterLevel(Height)
& Event = tapOff
& holdsAt(waterLevel(Height),Time) )
| ( Fluent = spilling
& Event = overflow )
| ( Fluent = filling
& Event = tapOn ) ) ),
file('theBenchmark.p',initiates_all_defn) ).
fof(terminates_all_defn,axiom,
! [Event,Fluent,Time] :
( terminates(Event,Fluent,Time)
<=> ( ( Fluent = filling
& Event = overflow )
| ( Fluent = filling
& Event = tapOff ) ) ),
file('theBenchmark.p',terminates_all_defn) ).
fof(releases_all_defn,axiom,
! [Event,Fluent,Time] :
( releases(Event,Fluent,Time)
<=> ? [Height] :
( Fluent = waterLevel(Height)
& Event = tapOn ) ),
file('theBenchmark.p',releases_all_defn) ).
fof(happens_all_defn,axiom,
! [Event,Time] :
( happens(Event,Time)
<=> ( ( Event = overflow
& holdsAt(filling,Time)
& holdsAt(waterLevel(n3),Time) )
| ( Time = n0
& Event = tapOn ) ) ),
file('theBenchmark.p',happens_all_defn) ).
fof(filling_not_waterLevel,axiom,
! [X] : filling != waterLevel(X),
file('theBenchmark.p',filling_not_waterLevel) ).
fof(distinct_waterLevels,axiom,
! [X,Y] :
( waterLevel(X) = waterLevel(Y)
<=> X = Y ),
file('theBenchmark.p',distinct_waterLevels) ).
fof(symmetry_of_plus,axiom,
! [X,Y] : plus(X,Y) = plus(Y,X),
file('theBenchmark.p',symmetry_of_plus) ).
fof(less_or_equal,axiom,
! [X,Y] :
( less_or_equal(X,Y)
<=> ( X = Y
| less(X,Y) ) ),
file('theBenchmark.p',less_or_equal) ).
fof(less1,axiom,
! [X] :
( less(X,n1)
<=> less_or_equal(X,n0) ),
file('theBenchmark.p',less1) ).
fof(less2,axiom,
! [X] :
( less(X,n2)
<=> less_or_equal(X,n1) ),
file('theBenchmark.p',less2) ).
fof(less3,axiom,
! [X] :
( less(X,n3)
<=> less_or_equal(X,n2) ),
file('theBenchmark.p',less3) ).
fof(less_property,axiom,
! [X,Y] :
( less(X,Y)
<=> ( Y != X
& ~ less(Y,X) ) ),
file('theBenchmark.p',less_property) ).
fof(not_filling_4,conjecture,
~ holdsAt(filling,n4),
file('theBenchmark.p',not_filling_4) ).
fof(not_filling_4_neg,negated_conjecture,
~ ~ holdsAt(filling,n4),
inference(assume_negation,[status(cth)],[not_filling_4]) ).
fof(nnf_8,plain,
! [Fluent,Time] :
( ~ releasedAt(Fluent,plus(Time,n1))
| ? [Event] :
( releases(Event,Fluent,Time)
& happens(Event,Time) )
| releasedAt(Fluent,Time) ),
inference(fof_nnf,[status(thm)],[keep_not_released]) ).
fof(sk_keep_not_released_sk,plain,
! [Fluent,Time] :
( ~ releasedAt(Fluent,plus(Time,n1))
| ( releases(sK0(Fluent,Time),Fluent,Time)
& happens(sK0(Fluent,Time),Time) )
| releasedAt(Fluent,Time) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(Event,sK0(Fluent,Time))],[nnf_8]) ).
fof(sk_keep_not_released,plain,
( ! [VAR_0,VAR_1] :
( ~ releasedAt(VAR_0,plus(VAR_1,n1))
| releases(sK0(VAR_0,VAR_1),VAR_0,VAR_1)
| releasedAt(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( ~ releasedAt(VAR_0,plus(VAR_1,n1))
| happens(sK0(VAR_0,VAR_1),VAR_1)
| releasedAt(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_keep_not_released_sk]) ).
cnf(c_55,plain,
( ~ releasedAt(A,plus(B,n1))
| releases(sK0(A,B),A,B)
| releasedAt(A,B) ),
inference(split_conjunct,[status(thm)],[sk_keep_not_released]) ).
fof(nnf_15,plain,
! [Event,Fluent,Time] :
( ( ! [Height] :
( waterLevel(Height) != Fluent
| tapOn != Event )
| releases(Event,Fluent,Time) )
& ( ? [X0] :
( waterLevel(X0) = Fluent
& tapOn = Event )
| ~ releases(Event,Fluent,Time) ) ),
inference(fof_nnf,[status(thm)],[releases_all_defn]) ).
fof(sk_releases_all_defn_sk,plain,
! [Event,Fluent,Time] :
( ( ! [Height] :
( waterLevel(Height) != Fluent
| tapOn != Event )
| releases(Event,Fluent,Time) )
& ( ( waterLevel(sK1(Event,Fluent,Time)) = Fluent
& tapOn = Event )
| ~ releases(Event,Fluent,Time) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1(Event,Fluent,Time))],[nnf_15]) ).
fof(sk_releases_all_defn,plain,
( ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( waterLevel(VAR_3) != VAR_1
| tapOn != VAR_0
| releases(VAR_0,VAR_1,VAR_2) )
& ! [VAR_0,VAR_1,VAR_2] :
( waterLevel(sK1(VAR_0,VAR_1,VAR_2)) = VAR_1
| ~ releases(VAR_0,VAR_1,VAR_2) )
& ! [VAR_0,VAR_1,VAR_2] :
( tapOn = VAR_0
| ~ releases(VAR_0,VAR_1,VAR_2) ) ),
inference(cnf_transformation,[status(thm)],[sk_releases_all_defn_sk]) ).
cnf(c_57,plain,
( waterLevel(sK1(A,B,C)) = B
| ~ releases(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_releases_all_defn]) ).
cnf(c_58,plain,
( waterLevel(D) != B
| tapOn != A
| releases(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_releases_all_defn]) ).
cnf(c_60,plain,
( waterLevel(sK1(A,C,D)) = C
| waterLevel(B) != C
| tapOn != A ),
inference(resolve,[status(thm)],[c_58,c_57]) ).
cnf(c_61,plain,
( ~ releasedAt(A,plus(B,n1))
| releasedAt(A,B)
| waterLevel(sK1(sK0(A,B),A,B)) = A ),
inference(resolve,[status(thm)],[c_57,c_55]) ).
cnf(c_72,negated_conjecture,
holdsAt(filling,n4),
inference(clausify,[status(thm)],[not_filling_4_neg]) ).
fof(waterLevel_3,axiom,
holdsAt(waterLevel(n3),n3),
file('theBenchmark.p',waterLevel_3) ).
cnf(c_73,plain,
holdsAt(waterLevel(n3),n3),
inference(clausify,[status(thm)],[waterLevel_3]) ).
cnf(c_81,plain,
( B != A
| ~ less(A,B) ),
inference(clausify,[status(thm)],[less_property]) ).
cnf(c_95,plain,
( ~ less_or_equal(A,n2)
| less(A,n3) ),
inference(clausify,[status(thm)],[less3]) ).
cnf(c_97,plain,
( ~ less_or_equal(A,n1)
| less(A,n2) ),
inference(clausify,[status(thm)],[less2]) ).
cnf(c_99,plain,
( ~ less_or_equal(A,n0)
| less(A,n1) ),
inference(clausify,[status(thm)],[less1]) ).
cnf(c_102,plain,
( B != A
| less_or_equal(A,B) ),
inference(clausify,[status(thm)],[less_or_equal]) ).
cnf(c_103,plain,
( ~ less(A,B)
| less_or_equal(A,B) ),
inference(clausify,[status(thm)],[less_or_equal]) ).
cnf(c_105,plain,
plus(A,B) = plus(B,A),
inference(clausify,[status(thm)],[symmetry_of_plus]) ).
fof(plus1_3,axiom,
plus(n1,n3) = n4,
file('theBenchmark.p',plus1_3) ).
cnf(c_110,plain,
plus(n1,n3) = n4,
inference(clausify,[status(thm)],[plus1_3]) ).
fof(plus1_2,axiom,
plus(n1,n2) = n3,
file('theBenchmark.p',plus1_2) ).
cnf(c_111,plain,
plus(n1,n2) = n3,
inference(clausify,[status(thm)],[plus1_2]) ).
fof(plus1_1,axiom,
plus(n1,n1) = n2,
file('theBenchmark.p',plus1_1) ).
cnf(c_112,plain,
plus(n1,n1) = n2,
inference(clausify,[status(thm)],[plus1_1]) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('theBenchmark.p',plus0_1) ).
cnf(c_115,plain,
plus(n0,n1) = n1,
inference(clausify,[status(thm)],[plus0_1]) ).
cnf(c_116,plain,
plus(n1,n0) = n1,
inference(paramod,[status(thm)],[c_105,c_115]) ).
fof(plus0_0,axiom,
plus(n0,n0) = n0,
file('theBenchmark.p',plus0_0) ).
cnf(c_117,plain,
plus(n0,n0) = n0,
inference(clausify,[status(thm)],[plus0_0]) ).
cnf(c_119,plain,
( A = B
| waterLevel(A) != waterLevel(B) ),
inference(clausify,[status(thm)],[distinct_waterLevels]) ).
cnf(c_123,plain,
waterLevel(A) != filling,
inference(clausify,[status(thm)],[filling_not_waterLevel]) ).
cnf(c_128,plain,
( overflow != A
| ~ holdsAt(filling,B)
| ~ holdsAt(waterLevel(n3),B)
| happens(A,B) ),
inference(clausify,[status(thm)],[happens_all_defn]) ).
cnf(c_129,plain,
( n0 != B
| tapOn != A
| happens(A,B) ),
inference(clausify,[status(thm)],[happens_all_defn]) ).
cnf(c_131,plain,
( holdsAt(filling,B)
| n0 = B
| ~ happens(A,B) ),
inference(clausify,[status(thm)],[happens_all_defn]) ).
cnf(c_136,plain,
( filling != B
| overflow != A
| terminates(A,B,C) ),
inference(clausify,[status(thm)],[terminates_all_defn]) ).
cnf(c_143,plain,
( filling != B
| tapOn != A
| initiates(A,B,C) ),
inference(clausify,[status(thm)],[initiates_all_defn]) ).
cnf(c_163,plain,
( ~ releasedAt(C,plus(B,n1))
| ~ initiates(A,C,B)
| ~ happens(A,B) ),
inference(clausify,[status(thm)],[happens_not_released]) ).
cnf(c_164,plain,
( ~ holdsAt(C,plus(B,n1))
| ~ terminates(A,C,B)
| ~ happens(A,B) ),
inference(clausify,[status(thm)],[happens_terminates_not_holds]) ).
fof(nnf_6,plain,
! [Fluent,Time] :
( ~ holdsAt(Fluent,plus(Time,n1))
| ? [Event] :
( initiates(Event,Fluent,Time)
& happens(Event,Time) )
| releasedAt(Fluent,plus(Time,n1))
| holdsAt(Fluent,Time) ),
inference(fof_nnf,[status(thm)],[keep_not_holding]) ).
fof(sk_keep_not_holding_sk,plain,
! [Fluent,Time] :
( ~ holdsAt(Fluent,plus(Time,n1))
| ( initiates(sK2(Fluent,Time),Fluent,Time)
& happens(sK2(Fluent,Time),Time) )
| releasedAt(Fluent,plus(Time,n1))
| holdsAt(Fluent,Time) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(Event,sK2(Fluent,Time))],[nnf_6]) ).
fof(sk_keep_not_holding,plain,
( ! [VAR_0,VAR_1] :
( ~ holdsAt(VAR_0,plus(VAR_1,n1))
| initiates(sK2(VAR_0,VAR_1),VAR_0,VAR_1)
| releasedAt(VAR_0,plus(VAR_1,n1))
| holdsAt(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( ~ holdsAt(VAR_0,plus(VAR_1,n1))
| happens(sK2(VAR_0,VAR_1),VAR_1)
| releasedAt(VAR_0,plus(VAR_1,n1))
| holdsAt(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_keep_not_holding_sk]) ).
cnf(c_170,plain,
( ~ holdsAt(A,plus(B,n1))
| happens(sK2(A,B),B)
| releasedAt(A,plus(B,n1))
| holdsAt(A,B) ),
inference(split_conjunct,[status(thm)],[sk_keep_not_holding]) ).
cnf(c_182,plain,
( waterLevel(sK1(tapOn,B,C)) = B
| waterLevel(A) != B ),
inference(xxres,[status(thm)],[c_60]) ).
cnf(c_195,plain,
less_or_equal(A,A),
inference(xxres,[status(thm)],[c_102]) ).
cnf(c_199,plain,
( ~ releasedAt(A,plus(n1,B))
| releasedAt(A,B)
| waterLevel(sK1(sK0(A,B),A,B)) = A ),
inference(paramod,[status(thm)],[c_105,c_61]) ).
cnf(c_201,plain,
( ~ releasedAt(A,n2)
| releasedAt(A,n1)
| waterLevel(sK1(sK0(A,n1),A,n1)) = A ),
inference(paramod,[status(thm)],[c_112,c_61]) ).
cnf(c_205,plain,
( overflow != A
| ~ holdsAt(filling,n3)
| happens(A,n3) ),
inference(resolve,[status(thm)],[c_128,c_73]) ).
cnf(c_206,plain,
( n0 != A
| happens(tapOn,A) ),
inference(xxres,[status(thm)],[c_129]) ).
cnf(c_208,plain,
( filling != A
| terminates(overflow,A,B) ),
inference(xxres,[status(thm)],[c_136]) ).
cnf(c_218,plain,
( filling != A
| initiates(tapOn,A,B) ),
inference(xxres,[status(thm)],[c_143]) ).
cnf(c_224,plain,
( ~ holdsAt(A,plus(n1,B))
| happens(sK2(A,B),B)
| releasedAt(A,plus(B,n1))
| holdsAt(A,B) ),
inference(paramod,[status(thm)],[c_105,c_170]) ).
cnf(c_232,plain,
waterLevel(sK1(tapOn,waterLevel(A),B)) = waterLevel(A),
inference(xxres,[status(thm)],[c_182]) ).
cnf(c_233,plain,
less(n0,n1),
inference(resolve,[status(thm)],[c_195,c_99]) ).
cnf(c_242,plain,
less_or_equal(n0,n1),
inference(resolve,[status(thm)],[c_233,c_103]) ).
cnf(c_268,plain,
less(n0,n2),
inference(resolve,[status(thm)],[c_242,c_97]) ).
cnf(c_278,plain,
less_or_equal(n0,n2),
inference(resolve,[status(thm)],[c_268,c_103]) ).
cnf(c_303,plain,
less(n0,n3),
inference(resolve,[status(thm)],[c_278,c_95]) ).
cnf(c_313,plain,
n3 != n0,
inference(resolve,[status(thm)],[c_303,c_81]) ).
cnf(c_385,plain,
( ~ releasedAt(A,n4)
| releasedAt(A,n3)
| waterLevel(sK1(sK0(A,n3),A,n3)) = A ),
inference(paramod,[status(thm)],[c_110,c_199]) ).
cnf(c_386,plain,
( ~ releasedAt(A,n3)
| releasedAt(A,n2)
| waterLevel(sK1(sK0(A,n2),A,n2)) = A ),
inference(paramod,[status(thm)],[c_111,c_199]) ).
cnf(c_1003,plain,
n0 = plus(n0,n0),
inference(copy,[status(thm)],[c_117]) ).
cnf(c_1004,plain,
happens(tapOn,plus(n0,n0)),
inference(resolve,[status(thm)],[c_206,c_1003]) ).
cnf(c_433,plain,
happens(tapOn,n0),
inference(paramod,[status(thm)],[c_117,c_1004]) ).
cnf(c_435,plain,
terminates(overflow,filling,A),
inference(xxres,[status(thm)],[c_208]) ).
cnf(c_436,plain,
( ~ holdsAt(filling,plus(A,n1))
| ~ happens(overflow,A) ),
inference(resolve,[status(thm)],[c_435,c_164]) ).
cnf(c_463,plain,
initiates(tapOn,filling,A),
inference(xxres,[status(thm)],[c_218]) ).
cnf(c_469,plain,
( ~ releasedAt(filling,plus(A,n1))
| ~ happens(tapOn,A) ),
inference(resolve,[status(thm)],[c_463,c_163]) ).
cnf(c_486,plain,
( ~ releasedAt(filling,plus(n1,A))
| ~ happens(tapOn,A) ),
inference(paramod,[status(thm)],[c_105,c_469]) ).
cnf(c_1005,plain,
( ~ releasedAt(filling,n1)
| ~ happens(tapOn,n0) ),
inference(paramod,[status(thm)],[c_116,c_486]) ).
cnf(c_520,plain,
~ releasedAt(filling,n1),
inference(resolve,[status(thm)],[c_433,c_1005]) ).
cnf(c_538,plain,
sK1(tapOn,waterLevel(A),B) = A,
inference(resolve,[status(thm)],[c_232,c_119]) ).
cnf(c_1006,plain,
( ~ holdsAt(A,n4)
| happens(sK2(A,n3),n3)
| releasedAt(A,plus(n3,n1))
| holdsAt(A,n3) ),
inference(paramod,[status(thm)],[c_110,c_224]) ).
cnf(c_1007,plain,
( ~ holdsAt(A,n4)
| happens(sK2(A,n3),n3)
| releasedAt(A,plus(n1,n3))
| holdsAt(A,n3) ),
inference(paramod,[status(thm)],[c_105,c_1006]) ).
cnf(c_566,plain,
( ~ holdsAt(A,n4)
| happens(sK2(A,n3),n3)
| releasedAt(A,n4)
| holdsAt(A,n3) ),
inference(paramod,[status(thm)],[c_110,c_1007]) ).
cnf(c_948,plain,
( happens(sK2(filling,n3),n3)
| releasedAt(filling,n4)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_566,c_72]) ).
cnf(c_1008,plain,
( releasedAt(filling,n3)
| waterLevel(sK1(sK0(filling,n3),filling,n3)) = filling
| happens(sK2(filling,n3),n3)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_948,c_385]) ).
cnf(c_955,plain,
( releasedAt(filling,n3)
| happens(sK2(filling,n3),n3)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_123,c_1008]) ).
cnf(c_1009,plain,
( releasedAt(filling,n2)
| waterLevel(sK1(sK0(filling,n2),filling,n2)) = filling
| happens(sK2(filling,n3),n3)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_955,c_386]) ).
cnf(c_963,plain,
( releasedAt(filling,n2)
| happens(sK2(filling,n3),n3)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_123,c_1009]) ).
cnf(c_1010,plain,
( releasedAt(filling,n1)
| waterLevel(sK1(sK0(filling,n1),filling,n1)) = filling
| happens(sK2(filling,n3),n3)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_963,c_201]) ).
cnf(c_1011,plain,
( releasedAt(filling,n1)
| happens(sK2(filling,n3),n3)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_123,c_1010]) ).
cnf(c_971,plain,
( happens(sK2(filling,n3),n3)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_520,c_1011]) ).
cnf(c_1012,plain,
( holdsAt(filling,n3)
| n0 = n3
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_971,c_131]) ).
cnf(c_1013,plain,
( holdsAt(filling,n3)
| n3 = n0
| holdsAt(filling,n3) ),
inference(copy,[status(thm)],[c_1012]) ).
cnf(c_1014,plain,
( n3 = n0
| holdsAt(filling,n3) ),
inference(copy,[status(thm)],[c_1013]) ).
cnf(c_973,plain,
holdsAt(filling,n3),
inference(resolve,[status(thm)],[c_313,c_1014]) ).
cnf(c_974,plain,
( overflow != A
| happens(A,n3) ),
inference(resolve,[status(thm)],[c_973,c_205]) ).
cnf(c_1015,plain,
A = sK1(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_538]) ).
cnf(c_1016,plain,
happens(sK1(tapOn,waterLevel(overflow),A),n3),
inference(resolve,[status(thm)],[c_974,c_1015]) ).
cnf(c_977,plain,
happens(overflow,n3),
inference(paramod,[status(thm)],[c_538,c_1016]) ).
cnf(c_1017,plain,
~ holdsAt(filling,plus(n3,n1)),
inference(resolve,[status(thm)],[c_977,c_436]) ).
cnf(c_1018,plain,
~ holdsAt(filling,plus(n1,n3)),
inference(paramod,[status(thm)],[c_105,c_1017]) ).
cnf(c_1019,plain,
~ holdsAt(filling,n4),
inference(paramod,[status(thm)],[c_110,c_1018]) ).
cnf(c_1002,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_72,c_1019]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR002+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n012.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 23:53:49 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 1783642 was started by sandbox2 on n012,
% 0.08/0.36 % Sat Sep 26 23:53:49 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.37
% 0.12/0.37 % From the command line: assign(max_seconds, 300).
% 2.11/0.66
% 2.11/0.66 % given #500 (T,wt=9): 680 less(n5,A) | n5 = A | -less(n7,A). [resolve(631,c,82,b)].
% 2.11/0.66
% 2.11/0.66 % SZS status Theorem for theBenchmark
% 2.11/0.66
% 2.11/0.66 % Proof 1 at 0.18 (+ 0.10) seconds.
% 2.11/0.66 % Length of proof is 82.
% 2.11/0.66 % Level of proof is 12.
% 2.11/0.66 % Maximum clause weight is 18.000.
% 2.11/0.66 % Given clauses 702.
% 2.11/0.66
% 2.11/0.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------