%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN319-1 : 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 : 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 09:21:48 AM UTC 2026
% Result : Unsatisfiable 8.88s 6.60s
% Output : CNFRefutation 8.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 5 unt; 3 nHn; 7 RR)
% Number of literals : 19 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 16 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( g(X1)
| f(X0) ) ).
cnf(clause5,negated_conjecture,
( h(X0)
| ~ f(X0) ) ).
cnf(clause6,negated_conjecture,
( h(X0)
| ~ g(X0) ) ).
cnf(clause7,negated_conjecture,
~ h(z2(X0,X1)) ).
cnf(c0,plain,
( g(X1)
| f(X0) ),
inference(clausification,[status(esa)],[clause1]) ).
cnf(c4,plain,
( h(X0)
| ~ f(X0) ),
inference(clausification,[status(esa)],[clause5]) ).
cnf(c5,plain,
( h(X0)
| ~ g(X0) ),
inference(clausification,[status(esa)],[clause6]) ).
cnf(c6,plain,
~ h(z2(X0,X1)),
inference(clausification,[status(esa)],[clause7]) ).
cnf(d0,plain,
( g(X1)
| h(X0) ),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(d1,plain,
g(X0),
inference(resolution,[status(thm)],[d0,c6]) ).
cnf(d2,plain,
h(X0),
inference(resolution,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN319-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n015.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Sat Sep 26 17:36:34 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.88/6.60 % SZS status Unsatisfiable for theBenchmark.p
% 8.88/6.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------