%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN242-1 : 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 : 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 09:21:38 AM UTC 2026
% Result : Unsatisfiable 26.45s 3.82s
% Output : CNFRefutation 26.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 6 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; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ m1(a,a,a) ).
cnf(axiom_12,axiom,
m0(a,X0,a) ).
cnf(rule_005,axiom,
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ) ).
cnf(c0,plain,
~ m1(a,a,a),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c12,plain,
m0(a,X0,a),
inference(clausification,[status(esa)],[axiom_12]) ).
cnf(c43,plain,
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_005]) ).
cnf(d0,plain,
m1(a,a,a),
inference(resolution,[status(thm)],[c43,c12]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c0,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN242-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n006.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sat Sep 26 17:25:10 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.45/3.82 % SZS status Unsatisfiable for theBenchmark.p
% 26.45/3.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------