%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN326-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 09:21:49 AM UTC 2026
% Result : Unsatisfiable 8.70s 1.54s
% Output : CNFRefutation 8.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 6 unt; 2 nHn; 9 RR)
% Number of literals : 18 ( 0 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 11 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause2,negated_conjecture,
( f(X0,X0)
| g(y(X0)) ) ).
cnf(clause3,negated_conjecture,
( f(X0,X0)
| ~ h(X0) ) ).
cnf(clause5,negated_conjecture,
( h(z(X0))
| ~ g(X0) ) ).
cnf(clause7,negated_conjecture,
~ f(z(X0),z(X0)) ).
cnf(c1,plain,
( f(X0,X0)
| g(y(X0)) ),
inference(clausification,[status(esa)],[clause2]) ).
cnf(c2,plain,
( f(X0,X0)
| ~ h(X0) ),
inference(clausification,[status(esa)],[clause3]) ).
cnf(c4,plain,
( h(z(X0))
| ~ g(X0) ),
inference(clausification,[status(esa)],[clause5]) ).
cnf(c6,plain,
~ f(z(X0),z(X0)),
inference(clausification,[status(esa)],[clause7]) ).
cnf(d0,plain,
g(y(z(X0))),
inference(resolution,[status(thm)],[c6,c1]) ).
cnf(d1,plain,
~ h(z(X0)),
inference(resolution,[status(thm)],[c2,c6]) ).
cnf(d2,plain,
~ g(X0),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN326-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 17:34:21 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.70/1.54 % SZS status Unsatisfiable for theBenchmark.p
% 8.70/1.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------