%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR004+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n026.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 : Fri Sep 25 01:05:10 PM UTC 2026
% Result : Theorem 16.41s 2.57s
% Output : Proof 16.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 13 unt; 0 def)
% Number of atoms : 52 ( 16 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 55 ( 22 ~; 19 |; 13 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 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 : 9 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [Event,Time] :
( happens(Event,Time)
<=> ( ( Event = overflow
& holdsAt(filling,Time)
& holdsAt(waterLevel(n3),Time) )
| ( Time = n0
& Event = tapOn ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_all_defn) ).
fof(f15_nnf,plain,
! [Event,Time] :
( ( ( ( Event != overflow
| ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time) )
& ( Time != n0
| Event != tapOn ) )
| happens(Event,Time) )
& ( ( Event = overflow
& holdsAt(filling,Time)
& holdsAt(waterLevel(n3),Time) )
| ( Time = n0
& Event = tapOn )
| ~ happens(Event,Time) ) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [Event,Time] :
( ( ( ( Event != overflow
| ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time) )
& ( Time != n0
| Event != tapOn ) )
| happens(Event,Time) )
& ( ( Event = overflow
& holdsAt(filling,Time)
& holdsAt(waterLevel(n3),Time) )
| ( Time = n0
& Event = tapOn )
| ~ happens(Event,Time) ) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c81,plain,
( X0 != overflow
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1)
| happens(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p256,plain,
( ~ holdsAt(filling,X0)
| ~ holdsAt(waterLevel(n3),X0)
| happens(overflow,X0) ),
inference(equality_resolution,[status(thm)],[c81]) ).
fof(f54,lemma,
holdsAt(waterLevel(n3),n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_3) ).
fof(f54_nnf,plain,
holdsAt(waterLevel(n3),n3),
inference(nnf_transformation,[status(thm)],[f54]) ).
cnf(c134,plain,
holdsAt(waterLevel(n3),n3),
inference(cnf_transformation,[status(esa)],[f54_nnf]) ).
cnf(p507,plain,
( ~ holdsAt(filling,n3)
| happens(overflow,n3) ),
inference(resolution,[status(thm)],[p256,c134]) ).
fof(f55,lemma,
holdsAt(filling,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_3) ).
fof(f55_nnf,plain,
holdsAt(filling,n3),
inference(nnf_transformation,[status(thm)],[f55]) ).
cnf(c135,plain,
holdsAt(filling,n3),
inference(cnf_transformation,[status(esa)],[f55_nnf]) ).
cnf(p859,plain,
happens(overflow,n3),
inference(resolution,[status(thm)],[p507,c135]) ).
fof(f56,conjecture,
happens(overflow,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',overflow_3) ).
fof(f56_neg,negated_conjecture,
~ happens(overflow,n3),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f56_nnf,plain,
~ happens(overflow,n3),
inference(nnf_transformation,[status(thm)],[f56_neg]) ).
fof(f56_sk,plain,
~ happens(overflow,n3),
inference(skolemisation,[status(esa)],[f56_nnf]) ).
cnf(c136,plain,
~ happens(overflow,n3),
inference(cnf_transformation,[status(esa)],[f56_sk]) ).
cnf(p1980,plain,
$false,
inference(resolution,[status(thm)],[p859,c136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR004+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 08:07:55 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 16.41/2.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.41/2.57 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------