%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MSC017+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 08:04:10 AM UTC 2026
% Result : Theorem 8.86s 1.58s
% Output : CNFRefutation 8.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 59 ( 5 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 65 ( 29 ~; 23 |; 2 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(depth_and_time_and_nitrogen,axiom,
! [X0] :
( dive(X0)
=> ( ( greater(time(X0),'time$ulimit')
| greater(depth(X0),'depth$ulimit') )
<=> greater(nitrogen(X0),'nitrogen$ulimit') ) ) ).
fof(too_much_nitrogen,axiom,
! [X0] :
( dive(X0)
=> ( greater(nitrogen(X0),'nitrogen$ulimit')
<=> outcome(X0,dci) ) ) ).
fof(dci_is_the_only_bad_outcome,axiom,
! [X0] :
( dive(X0)
=> ! [X1] :
( ( bad(X1)
& outcome(X0,X1) )
=> X1 = dci ) ) ).
fof(no_deep_long,axiom,
! [X0] :
( dive(X0)
=> ( ~ greater(time(X0),'time$ulimit')
& ~ greater(depth(X0),'depth$ulimit') ) ) ).
fof(no_bad,conjecture,
! [X0] :
( dive(X0)
=> ! [X1] :
( outcome(X0,X1)
=> ~ bad(X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( dive(X0)
=> ! [X1] :
( outcome(X0,X1)
=> ~ bad(X1) ) ),
inference(negate_conjecture,[status(cth)],[no_bad]) ).
cnf(c3,plain,
( ~ greater(nitrogen(X0),'nitrogen$ulimit')
| greater(time(X0),'time$ulimit')
| greater(depth(X0),'depth$ulimit')
| ~ dive(X0) ),
inference(clausification,[status(esa)],[depth_and_time_and_nitrogen]) ).
cnf(c5,plain,
( ~ outcome(X0,dci)
| greater(nitrogen(X0),'nitrogen$ulimit')
| ~ dive(X0) ),
inference(clausification,[status(esa)],[too_much_nitrogen]) ).
cnf(c7,plain,
( X1 = dci
| ~ bad(X1)
| ~ outcome(X0,X1)
| ~ dive(X0) ),
inference(clausification,[status(esa)],[dci_is_the_only_bad_outcome]) ).
cnf(c8,plain,
( ~ greater(depth(X0),'depth$ulimit')
| ~ dive(X0) ),
inference(clausification,[status(esa)],[no_deep_long]) ).
cnf(c9,plain,
( ~ greater(time(X0),'time$ulimit')
| ~ dive(X0) ),
inference(clausification,[status(esa)],[no_deep_long]) ).
cnf(c10,plain,
dive(sK6),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c11,plain,
outcome(sK6,sK7),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c12,plain,
bad(sK7),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ bad(sK7)
| ~ dive(sK6)
| sK7 = dci ),
inference(resolution,[status(thm)],[c7,c11]) ).
cnf(d1,plain,
( ~ bad(sK7)
| sK7 = dci ),
inference(resolution,[status(thm)],[c10,d0]) ).
cnf(d2,plain,
sK7 = dci,
inference(resolution,[status(thm)],[c12,d1]) ).
cnf(d3,plain,
outcome(sK6,dci),
inference(demodulation,[status(thm)],[c11,d2]) ).
cnf(d4,plain,
( greater(time(X0),'time$ulimit')
| greater(depth(X0),'depth$ulimit')
| ~ dive(X0)
| ~ outcome(X0,dci)
| ~ dive(X0) ),
inference(resolution,[status(thm)],[c5,c3]) ).
cnf(d5,plain,
( ~ dive(X0)
| ~ outcome(X0,dci)
| greater(depth(X0),'depth$ulimit')
| ~ dive(X0) ),
inference(resolution,[status(thm)],[d4,c9]) ).
cnf(d6,plain,
( ~ dive(X0)
| ~ outcome(X0,dci)
| ~ dive(X0) ),
inference(resolution,[status(thm)],[d5,c8]) ).
cnf(d7,plain,
~ dive(sK6),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c10,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC017+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.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 00:19:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.86/1.58 % SZS status Theorem for theBenchmark.p
% 8.86/1.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------