%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN028-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 09:20:42 AM UTC 2026
% Result : Unsatisfiable 3.88s 2.34s
% Output : CNFRefutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 8 unt; 2 nHn; 19 RR)
% Number of literals : 32 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,axiom,
( p
| q ) ).
cnf(clause2,axiom,
( r
| ~ q ) ).
cnf(clause3,axiom,
( s
| ~ r ) ).
cnf(clause4,axiom,
( t
| ~ r
| ~ s ) ).
cnf(clause5,axiom,
( p
| ~ t ) ).
cnf(prove_something,negated_conjecture,
~ p ).
cnf(c0,plain,
( p
| q ),
inference(clausification,[status(esa)],[clause1]) ).
cnf(c1,plain,
( r
| ~ q ),
inference(clausification,[status(esa)],[clause2]) ).
cnf(c2,plain,
( s
| ~ r ),
inference(clausification,[status(esa)],[clause3]) ).
cnf(c3,plain,
( t
| ~ r
| ~ s ),
inference(clausification,[status(esa)],[clause4]) ).
cnf(c4,plain,
( p
| ~ t ),
inference(clausification,[status(esa)],[clause5]) ).
cnf(c5,plain,
~ p,
inference(clausification,[status(esa)],[prove_something]) ).
cnf(d0,plain,
q,
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d1,plain,
r,
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
( t
| ~ s ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
s,
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d4,plain,
t,
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
~ t,
inference(resolution,[status(thm)],[c5,c4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN028-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 17:10:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.88/2.34 % SZS status Unsatisfiable for theBenchmark.p
% 3.88/2.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------