%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN030-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 7.89s 6.69s
% Output : CNFRefutation 7.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 6 unt; 3 nHn; 24 RR)
% Number of literals : 48 ( 0 equ; 25 neg)
% Maximal clause size : 3 ( 2 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
| ~ s
| ~ t ) ).
cnf(clause2,axiom,
( s
| ~ r ) ).
cnf(clause4,axiom,
( t
| ~ q
| ~ r ) ).
cnf(clause5,axiom,
( r
| ~ q ) ).
cnf(clause6,axiom,
( r
| q ) ).
cnf(clause7,axiom,
( q
| ~ r ) ).
cnf(theorem,negated_conjecture,
( ~ r
| ~ q
| ~ p ) ).
cnf(c0,plain,
( p
| ~ s
| ~ t ),
inference(clausification,[status(esa)],[clause1]) ).
cnf(c1,plain,
( s
| ~ r ),
inference(clausification,[status(esa)],[clause2]) ).
cnf(c3,plain,
( t
| ~ q
| ~ r ),
inference(clausification,[status(esa)],[clause4]) ).
cnf(c4,plain,
( r
| ~ q ),
inference(clausification,[status(esa)],[clause5]) ).
cnf(c5,plain,
( r
| q ),
inference(clausification,[status(esa)],[clause6]) ).
cnf(c6,plain,
( q
| ~ r ),
inference(clausification,[status(esa)],[clause7]) ).
cnf(c8,plain,
( ~ r
| ~ q
| ~ p ),
inference(clausification,[status(esa)],[theorem]) ).
cnf(d0,plain,
( r
| r ),
inference(resolution,[status(thm)],[c5,c4]) ).
cnf(d1,plain,
( ~ q
| t ),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
q,
inference(resolution,[status(thm)],[d0,c6]) ).
cnf(d3,plain,
t,
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( p
| ~ s ),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
s,
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d6,plain,
p,
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( ~ q
| ~ p ),
inference(resolution,[status(thm)],[d0,c8]) ).
cnf(d8,plain,
~ p,
inference(resolution,[status(thm)],[d2,d7]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN030-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.58 % Computer : n006.cluster.edu
% 0.09/5.58 % Model : x86_64 x86_64
% 0.09/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.58 % Memory : 8046.5625MB
% 0.09/5.58 % OS : Linux 6.8.0-71-generic
% 0.09/5.58 % CPULimit : 300
% 0.09/5.58 % WCLimit : 300
% 0.09/5.58 % DateTime : Sat Sep 26 17:04:19 UTC 2026
% 0.09/5.58 % CPUTime :
% 0.09/5.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.89/6.69 % SZS status Unsatisfiable for theBenchmark.p
% 7.89/6.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------