%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN331-1 : 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 : n005.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 09:21:50 AM UTC 2026
% Result : Unsatisfiable 8.85s 6.57s
% Output : CNFRefutation 8.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 5 unt; 3 nHn; 5 RR)
% Number of literals : 15 ( 0 equ; 4 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 : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 17 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause3,negated_conjecture,
( ~ f(z(X0,X1),z(X0,X1))
| f(X0,X1) ) ).
cnf(clause5,negated_conjecture,
( f(z(X1,X0),z(X1,X0))
| f(X0,X1) ) ).
cnf(clause7,negated_conjecture,
~ f(z(X0,X1),X1) ).
cnf(c2,plain,
( ~ f(z(X0,X1),z(X0,X1))
| f(X0,X1) ),
inference(clausification,[status(esa)],[clause3]) ).
cnf(c4,plain,
( f(z(X1,X0),z(X1,X0))
| f(X0,X1) ),
inference(clausification,[status(esa)],[clause5]) ).
cnf(c6,plain,
~ f(z(X0,X1),X1),
inference(clausification,[status(esa)],[clause7]) ).
cnf(d0,plain,
( f(X1,X0)
| f(X0,X1) ),
inference(resolution,[status(thm)],[c4,c2]) ).
cnf(d1,plain,
f(X0,X0),
inference(factoring,[status(thm)],[d0]) ).
cnf(d2,plain,
f(X0,X1),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN331-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.36 % Computer : n005.cluster.edu
% 0.11/5.36 % Model : x86_64 x86_64
% 0.11/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.36 % Memory : 8046.5625MB
% 0.11/5.36 % OS : Linux 6.8.0-71-generic
% 0.11/5.36 % CPULimit : 300
% 0.11/5.36 % WCLimit : 300
% 0.11/5.36 % DateTime : Sat Sep 26 17:35:08 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.85/6.57 % SZS status Unsatisfiable for theBenchmark.p
% 8.85/6.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------