%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN105-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 09:21:19 AM UTC 2026
% Result : Unsatisfiable 18.61s 4.98s
% Output : CNFRefutation 18.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 4 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ k1(b) ).
cnf(axiom_11,axiom,
n0(e,b) ).
cnf(rule_001,axiom,
( ~ n0(X1,X0)
| k1(X0) ) ).
cnf(c0,plain,
~ k1(b),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c11,plain,
n0(e,b),
inference(clausification,[status(esa)],[axiom_11]) ).
cnf(c39,plain,
( ~ n0(X1,X0)
| k1(X0) ),
inference(clausification,[status(esa)],[rule_001]) ).
cnf(d0,plain,
k1(b),
inference(resolution,[status(thm)],[c39,c11]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c0,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN105-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.37 % Computer : n019.cluster.edu
% 0.02/0.37 % Model : x86_64 x86_64
% 0.02/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.37 % Memory : 8046.5625MB
% 0.02/0.37 % OS : Linux 6.8.0-71-generic
% 0.02/0.37 % CPULimit : 300
% 0.02/0.37 % WCLimit : 300
% 0.02/0.37 % DateTime : Sat Sep 26 17:11:34 UTC 2026
% 0.02/0.37 % CPUTime :
% 0.02/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.61/4.98 % SZS status Unsatisfiable for theBenchmark.p
% 18.61/4.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------