%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYO632-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 09:46:49 AM UTC 2026
% Result : Unsatisfiable 8.96s 6.55s
% Output : CNFRefutation 8.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 4 RR)
% Number of literals : 10 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 9 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_2_02,axiom,
'\'E\''(f('\'AP\''(s(s('\'0\'')),X0)),'\'0\'') ).
cnf(clause_0_03,axiom,
'\'E\''(f(X0),s('\'0\'')) ).
cnf(clause_1_04,axiom,
( ~ '\'E\''(f(X1),s('\'0\''))
| ~ '\'E\''(f(X0),'\'0\'') ) ).
cnf(c1,plain,
'\'E\''(f('\'AP\''(s(s('\'0\'')),X0)),'\'0\''),
inference(clausification,[status(esa)],[clause_2_02]) ).
cnf(c2,plain,
'\'E\''(f(X0),s('\'0\'')),
inference(clausification,[status(esa)],[clause_0_03]) ).
cnf(c3,plain,
( ~ '\'E\''(f(X1),s('\'0\''))
| ~ '\'E\''(f(X0),'\'0\'') ),
inference(clausification,[status(esa)],[clause_1_04]) ).
cnf(d0,plain,
~ '\'E\''(f(X0),'\'0\''),
inference(resolution,[status(thm)],[c2,c3]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYO632-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.40 % Computer : n017.cluster.edu
% 0.15/5.40 % Model : x86_64 x86_64
% 0.15/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.40 % Memory : 8046.5625MB
% 0.15/5.40 % OS : Linux 6.8.0-71-generic
% 0.15/5.41 % CPULimit : 300
% 0.15/5.41 % WCLimit : 300
% 0.15/5.41 % DateTime : Sat Sep 26 19:36:24 UTC 2026
% 0.15/5.41 % CPUTime :
% 0.15/5.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.96/6.55 % SZS status Unsatisfiable for theBenchmark.p
% 8.96/6.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------