%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYO629-1 : 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 : n016.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 09:46:48 AM UTC 2026
% Result : Unsatisfiable 8.19s 2.87s
% Output : CNFRefutation 8.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 10 unt; 8 nHn; 17 RR)
% Number of literals : 52 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 29 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_8_01,axiom,
~ '\'E\''(f(X0),f(g(X0))) ).
cnf(clause_0_02,axiom,
iLEQ(X0,X0) ).
cnf(clause_11_03,axiom,
( '\'E\''(f(X0),f(g(X0)))
| ~ '\'E\''('\'0\'',f(g(X0)))
| ~ '\'E\''('\'0\'',f(X0)) ) ).
cnf(clause_6_04,axiom,
( '\'LE\''(f(X0),s('\'0\''))
| '\'E\''(s('\'0\''),f(X0)) ) ).
cnf(clause_7_05,axiom,
~ '\'LE\''(f(X0),'\'0\'') ).
cnf(clause_10_06,axiom,
( '\'LE\''(f(X1),'\'0\'')
| '\'E\''('\'0\'',f(X1))
| ~ iLEQ(X0,X1)
| ~ '\'LE\''(f(X0),s('\'0\'')) ) ).
cnf(clause_1_07,axiom,
( '\'E\''(f(X0),f(g(X0)))
| ~ '\'E\''(s('\'0\''),f(g(X0)))
| ~ '\'E\''(s('\'0\''),f(X0)) ) ).
cnf(clause_3_09,axiom,
iLEQ(X0,g(X0)) ).
cnf(c0,plain,
~ '\'E\''(f(X0),f(g(X0))),
inference(clausification,[status(esa)],[clause_8_01]) ).
cnf(c1,plain,
iLEQ(X0,X0),
inference(clausification,[status(esa)],[clause_0_02]) ).
cnf(c2,plain,
( '\'E\''(f(X0),f(g(X0)))
| ~ '\'E\''('\'0\'',f(g(X0)))
| ~ '\'E\''('\'0\'',f(X0)) ),
inference(clausification,[status(esa)],[clause_11_03]) ).
cnf(c3,plain,
( '\'LE\''(f(X0),s('\'0\''))
| '\'E\''(s('\'0\''),f(X0)) ),
inference(clausification,[status(esa)],[clause_6_04]) ).
cnf(c4,plain,
~ '\'LE\''(f(X0),'\'0\''),
inference(clausification,[status(esa)],[clause_7_05]) ).
cnf(c5,plain,
( '\'LE\''(f(X1),'\'0\'')
| '\'E\''('\'0\'',f(X1))
| ~ iLEQ(X0,X1)
| ~ '\'LE\''(f(X0),s('\'0\'')) ),
inference(clausification,[status(esa)],[clause_10_06]) ).
cnf(c6,plain,
( '\'E\''(f(X0),f(g(X0)))
| ~ '\'E\''(s('\'0\''),f(g(X0)))
| ~ '\'E\''(s('\'0\''),f(X0)) ),
inference(clausification,[status(esa)],[clause_1_07]) ).
cnf(c8,plain,
iLEQ(X0,g(X0)),
inference(clausification,[status(esa)],[clause_3_09]) ).
cnf(d0,plain,
( ~ '\'LE\''(f(X1),s('\'0\''))
| ~ iLEQ(X1,X0)
| '\'E\''('\'0\'',f(X0)) ),
inference(resolution,[status(thm)],[c4,c5]) ).
cnf(d1,plain,
( '\'E\''(s('\'0\''),f(X1))
| ~ iLEQ(X1,X0)
| '\'E\''('\'0\'',f(X0)) ),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
( '\'E\''(s('\'0\''),f(X0))
| '\'E\''('\'0\'',f(g(X0))) ),
inference(resolution,[status(thm)],[d1,c8]) ).
cnf(d3,plain,
( ~ '\'E\''(s('\'0\''),f(g(X0)))
| ~ '\'E\''(s('\'0\''),f(X0)) ),
inference(resolution,[status(thm)],[c0,c6]) ).
cnf(d4,plain,
( '\'E\''(s('\'0\''),f(X0))
| '\'E\''('\'0\'',f(X0)) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d5,plain,
( ~ '\'E\''(s('\'0\''),f(X0))
| '\'E\''('\'0\'',f(g(X0))) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( '\'E\''('\'0\'',f(g(X0)))
| '\'E\''('\'0\'',f(g(X0))) ),
inference(resolution,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
( ~ '\'E\''('\'0\'',f(g(X0)))
| ~ '\'E\''('\'0\'',f(X0)) ),
inference(resolution,[status(thm)],[c0,c2]) ).
cnf(d8,plain,
~ '\'E\''('\'0\'',f(X0)),
inference(resolution,[status(thm)],[d6,d7]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYO629-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n016.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 19:45:17 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.19/2.87 % SZS status Unsatisfiable for theBenchmark.p
% 8.19/2.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------