%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN044-1 : 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 : 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 : Sun Sep 27 09:20:55 AM UTC 2026
% Result : Unsatisfiable 9.24s 1.51s
% Output : CNFRefutation 9.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 4 unt; 6 nHn; 18 RR)
% Number of literals : 35 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 4 ( 3 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
( r
| ~ q ) ).
cnf(clause_2,axiom,
( p
| ~ r ) ).
cnf(clause_3,axiom,
( q
| ~ r ) ).
cnf(clause_4,axiom,
( r
| q
| ~ p ) ).
cnf(clause_5,negated_conjecture,
( ~ q
| ~ p ) ).
cnf(clause_6,negated_conjecture,
( q
| p ) ).
cnf(c0,plain,
( r
| ~ q ),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
( p
| ~ r ),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
( q
| ~ r ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
( r
| q
| ~ p ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c4,plain,
( ~ q
| ~ p ),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(c5,plain,
( q
| p ),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(d0,plain,
( q
| r
| q ),
inference(resolution,[status(thm)],[c3,c5]) ).
cnf(d1,plain,
( q
| q ),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
r,
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
p,
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
~ p,
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN044-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.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 17:08:40 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.24/1.51 % SZS status Unsatisfiable for theBenchmark.p
% 9.24/1.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------