%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN150-1 : 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 : n012.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 09:21:25 AM UTC 2026
% Result : Unsatisfiable 18.10s 2.64s
% Output : CNFRefutation 18.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 6 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 9 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ n2(b) ).
cnf(axiom_32,axiom,
k0(b) ).
cnf(rule_068,axiom,
( ~ k0(X0)
| p1(X0,X0,X0) ) ).
cnf(rule_137,axiom,
( ~ p1(X1,X2,X0)
| n2(X0) ) ).
cnf(c0,plain,
~ n2(b),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c32,plain,
k0(b),
inference(clausification,[status(esa)],[axiom_32]) ).
cnf(c106,plain,
( ~ k0(X0)
| p1(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_068]) ).
cnf(c175,plain,
( ~ p1(X1,X2,X0)
| n2(X0) ),
inference(clausification,[status(esa)],[rule_137]) ).
cnf(d0,plain,
( ~ k0(X0)
| n2(X0) ),
inference(resolution,[status(thm)],[c175,c106]) ).
cnf(d1,plain,
n2(b),
inference(resolution,[status(thm)],[d0,c32]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c0,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN150-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Sat Sep 26 17:15:34 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.10/2.64 % SZS status Unsatisfiable for theBenchmark.p
% 18.10/2.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------