%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR004+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 : n017.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 0.15s 0.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 24 ( 6 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 19 ( 8 ~; 7 |; 3 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(overflow_3,conjecture,
happens(overflow,n3),
file('theBenchmark.p',overflow_3) ).
fof(overflow_3_neg,negated_conjecture,
~ happens(overflow,n3),
inference(assume_negation,[status(cth)],[overflow_3]) ).
cnf(c_72,negated_conjecture,
~ happens(overflow,n3),
inference(clausify,[status(thm)],[overflow_3_neg]) ).
fof(filling_3,axiom,
holdsAt(filling,n3),
file('theBenchmark.p',filling_3) ).
cnf(c_73,plain,
holdsAt(filling,n3),
inference(clausify,[status(thm)],[filling_3]) ).
fof(waterLevel_3,axiom,
holdsAt(waterLevel(n3),n3),
file('theBenchmark.p',waterLevel_3) ).
cnf(c_74,plain,
holdsAt(waterLevel(n3),n3),
inference(clausify,[status(thm)],[waterLevel_3]) ).
cnf(c_129,plain,
( overflow != A
| ~ holdsAt(filling,B)
| ~ holdsAt(waterLevel(n3),B)
| happens(A,B) ),
inference(clausify,[status(thm)],[happens_all_defn]) ).
cnf(c_209,plain,
( overflow != A
| ~ holdsAt(filling,n3)
| happens(A,n3) ),
inference(resolve,[status(thm)],[c_129,c_74]) ).
cnf(c_210,plain,
( overflow != A
| happens(A,n3) ),
inference(resolve,[status(thm)],[c_209,c_73]) ).
cnf(c_211,plain,
happens(overflow,n3),
inference(xxres,[status(thm)],[c_210]) ).
cnf(c_208,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_72,c_211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR004+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 23:50:19 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.15/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.37 % Process 1949920 was started by sandbox2 on n017,
% 0.15/0.37 % Sat Sep 26 23:50:19 2026
% 0.15/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/0.39
% 0.15/0.39 % From the command line: assign(max_seconds, 300).
% 0.15/0.45
% 0.15/0.45 % Assigning unary symbol waterLevel kb_weight 0 and highest precedence (36).
% 0.15/0.45
% 0.15/0.45 % SZS status Theorem for theBenchmark
% 0.15/0.45
% 0.15/0.45 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.15/0.45 % Length of proof is 7.
% 0.15/0.45 % Level of proof is 2.
% 0.15/0.45 % Maximum clause weight is 23.000.
% 0.15/0.45 % Given clauses 67.
% 0.15/0.45
% 0.15/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------