%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN031-1 : 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 : n015.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 8.71s 16.53s
% Output : CNFRefutation 8.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 2 unt; 5 nHn; 6 RR)
% Number of literals : 18 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 9 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,axiom,
( g(f(X0),X0)
| g(X0,a) ) ).
cnf(clause2,axiom,
( g(X0,f(X0))
| g(X0,a) ) ).
cnf(theorem,negated_conjecture,
( ~ g(X1,a)
| ~ g(X0,X1) ) ).
cnf(c0,plain,
( g(f(X0),X0)
| g(X0,a) ),
inference(clausification,[status(esa)],[clause1]) ).
cnf(c1,plain,
( g(X0,f(X0))
| g(X0,a) ),
inference(clausification,[status(esa)],[clause2]) ).
cnf(c4,plain,
( ~ g(X1,a)
| ~ g(X0,X1) ),
inference(clausification,[status(esa)],[theorem]) ).
cnf(d0,plain,
( ~ g(f(X0),a)
| g(X0,a) ),
inference(resolution,[status(thm)],[c1,c4]) ).
cnf(d1,plain,
( g(a,a)
| g(a,a) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
~ g(a,a),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d1,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN031-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/15.38 % Computer : n015.cluster.edu
% 0.09/15.38 % Model : x86_64 x86_64
% 0.09/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.38 % Memory : 8046.5625MB
% 0.09/15.38 % OS : Linux 6.8.0-71-generic
% 0.09/15.38 % CPULimit : 300
% 0.09/15.38 % WCLimit : 300
% 0.09/15.38 % DateTime : Sat Sep 26 17:07:59 UTC 2026
% 0.09/15.39 % CPUTime :
% 0.09/15.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.71/16.53 % SZS status Unsatisfiable for theBenchmark.p
% 8.71/16.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------