%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYO634-1 : TPTP v9.3.1. Released v7.1.0.
% 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 09:46:49 AM UTC 2026
% Result : Unsatisfiable 15.80s 7.42s
% Output : CNFRefutation 15.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of clauses : 89 ( 15 unt; 0 nHn; 26 RR)
% Number of literals : 427 ( 0 equ; 351 neg)
% Maximal clause size : 11 ( 4 avg)
% Maximal term depth : 14 ( 4 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 : 414 ( 402 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_21_01,axiom,
( '\'E\''(f(X1),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s(s('\'0\'')))))))))) ) ).
cnf(clause_11_03,axiom,
'\'E\''(f(X0),s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))) ).
cnf(clause_1_06,axiom,
( '\'E\''(f(X1),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X3),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s(s('\'0\'')))))))))) ) ).
cnf(clause_17_09,axiom,
'\'E\''(f(X0),s(s(s(s(s(s(s(s(s('\'0\'')))))))))) ).
cnf(clause_8_11,axiom,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X9)),s('\'0\''))
| ~ '\'E\''(f(X8),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X7),s(s(s(s(s(s(s(s(s('\'0\''))))))))))
| ~ '\'E\''(f(X6),s(s(s('\'0\''))))
| ~ '\'E\''(f(X5),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X4),s(s('\'0\'')))
| ~ '\'E\''(f(X3),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s('\'0\''))))))))) ) ).
cnf(clause_9_12,axiom,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X6)),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X5),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X4),s(s(s(s(s(s(s(s(s('\'0\''))))))))))
| ~ '\'E\''(f(X3),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s('\'0\''))))))))) ) ).
cnf(clause_12_14,axiom,
( '\'E\''(f(X1),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s(s('\'0\'')))))))))) ) ).
cnf(clause_18_15,axiom,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X7)),s(s(s('\'0\''))))
| ~ '\'E\''(f(X6),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X5),s(s(s(s(s(s(s(s(s('\'0\''))))))))))
| ~ '\'E\''(f(X4),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X3),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s('\'0\''))))))))) ) ).
cnf(clause_3_17,axiom,
( ~ '\'E\''(f(X10),'\'0\'')
| ~ '\'E\''(f(X9),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X8),s(s(s(s(s(s(s(s(s('\'0\''))))))))))
| ~ '\'E\''(f(X7),s(s(s('\'0\''))))
| ~ '\'E\''(f(X6),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X5),s(s('\'0\'')))
| ~ '\'E\''(f(X4),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X3),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X2),s('\'0\''))
| ~ '\'E\''(f(X1),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s('\'0\''))))))))) ) ).
cnf(clause_0_19,axiom,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X8)),s(s('\'0\'')))
| ~ '\'E\''(f(X7),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X6),s(s(s(s(s(s(s(s(s('\'0\''))))))))))
| ~ '\'E\''(f(X5),s(s(s('\'0\''))))
| ~ '\'E\''(f(X4),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X3),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s('\'0\''))))))))) ) ).
cnf(clause_15_20,axiom,
( '\'E\''(f(X1),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X4),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X3),s(s(s(s(s(s(s(s(s('\'0\''))))))))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s('\'0\''))))))))) ) ).
cnf(clause_10_22,axiom,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X10)),'\'0\'')
| ~ '\'E\''(f(X9),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X8),s(s(s(s(s(s(s(s(s('\'0\''))))))))))
| ~ '\'E\''(f(X7),s(s(s('\'0\''))))
| ~ '\'E\''(f(X6),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X5),s(s('\'0\'')))
| ~ '\'E\''(f(X4),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X3),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X2),s('\'0\''))
| ~ '\'E\''(f(X1),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s('\'0\''))))))))) ) ).
cnf(c0,plain,
( '\'E\''(f(X1),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s(s('\'0\'')))))))))) ),
inference(clausification,[status(esa)],[clause_21_01]) ).
cnf(c2,plain,
'\'E\''(f(X0),s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),
inference(clausification,[status(esa)],[clause_11_03]) ).
cnf(c5,plain,
( ~ '\'E\''(f(X3),s(s(s(s(s(s(s('\'0\''))))))))
| '\'E\''(f(X1),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s(s(s('\'0\''))))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s('\'0\''))))))))) ),
inference(clausification,[status(esa)],[clause_1_06]) ).
cnf(c8,plain,
'\'E\''(f(X0),s(s(s(s(s(s(s(s(s('\'0\'')))))))))),
inference(clausification,[status(esa)],[clause_17_09]) ).
cnf(c10,plain,
( ~ '\'E\''(f(X9),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X8),s(s(s(s(s(s(s(s(s('\'0\''))))))))))
| ~ '\'E\''(f(X7),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X6),s(s(s('\'0\''))))
| ~ '\'E\''(f(X5),s(s(s(s(s(s(s(s('\'0\'')))))))))
| '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X4)),s('\'0\''))
| ~ '\'E\''(f(X3),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X2),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X1),s(s('\'0\'')))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s('\'0\'')))))))) ),
inference(clausification,[status(esa)],[clause_8_11]) ).
cnf(c11,plain,
( ~ '\'E\''(f(X6),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X5),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X4),s(s(s(s(s(s(s(s('\'0\'')))))))))
| '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X3)),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s(s(s('\'0\''))))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))) ),
inference(clausification,[status(esa)],[clause_9_12]) ).
cnf(c13,plain,
( '\'E\''(f(X1),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s(s('\'0\'')))))))))) ),
inference(clausification,[status(esa)],[clause_12_14]) ).
cnf(c14,plain,
( ~ '\'E\''(f(X7),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X6),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X5),s(s(s(s(s(s(s(s(s('\'0\''))))))))))
| ~ '\'E\''(f(X4),s(s(s(s(s(s(s('\'0\''))))))))
| '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X3)),s(s(s('\'0\''))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X0),s(s(s(s(s('\'0\'')))))) ),
inference(clausification,[status(esa)],[clause_18_15]) ).
cnf(c16,plain,
( ~ '\'E\''(f(X10),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X9),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X8),s('\'0\''))
| ~ '\'E\''(f(X7),s(s('\'0\'')))
| ~ '\'E\''(f(X6),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X5),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X4),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X3),s(s(s('\'0\''))))
| ~ '\'E\''(f(X2),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s(s(s('\'0\''))))))))))
| ~ '\'E\''(f(X0),'\'0\'') ),
inference(clausification,[status(esa)],[clause_3_17]) ).
cnf(c18,plain,
( ~ '\'E\''(f(X8),s(s(s('\'0\''))))
| ~ '\'E\''(f(X7),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X6),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X5),s(s(s(s(s('\'0\''))))))
| '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X4)),s(s('\'0\'')))
| ~ '\'E\''(f(X3),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X2),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s(s(s('\'0\''))))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s('\'0\''))))))))) ),
inference(clausification,[status(esa)],[clause_0_19]) ).
cnf(c19,plain,
( ~ '\'E\''(f(X4),s(s(s(s(s(s(s(s(s('\'0\''))))))))))
| ~ '\'E\''(f(X3),s(s(s(s(s(s('\'0\'')))))))
| '\'E\''(f(X2),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s('\'0\''))))))))) ),
inference(clausification,[status(esa)],[clause_15_20]) ).
cnf(c21,plain,
( ~ '\'E\''(f(X10),s('\'0\''))
| ~ '\'E\''(f(X9),s(s('\'0\'')))
| ~ '\'E\''(f(X8),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X7),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X6),s(s(s('\'0\''))))
| ~ '\'E\''(f(X5),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X4)),'\'0\'')
| ~ '\'E\''(f(X3),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X2),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s(s(s('\'0\''))))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s('\'0\'')))))) ),
inference(clausification,[status(esa)],[clause_10_22]) ).
cnf(d0,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X5)),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X4),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X3),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s('\'0\'')))))))) ),
inference(resolution,[status(thm)],[c8,c11]) ).
cnf(d1,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X4)),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X3),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X2),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s('\'0\''))))))) ),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
( '\'E\''(f(X0),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))) ),
inference(resolution,[status(thm)],[c8,c0]) ).
cnf(d3,plain,
'\'E\''(f(X0),s(s(s(s(s(s(s(s('\'0\''))))))))),
inference(resolution,[status(thm)],[c2,d2]) ).
cnf(d4,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X3)),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X1),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s('\'0\'')))))))) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( '\'E\''(f(X1),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s('\'0\''))))))))) ),
inference(resolution,[status(thm)],[c8,c13]) ).
cnf(d6,plain,
( ~ '\'E\''(f(X1),s(s(s(s(s(s(s(s('\'0\'')))))))))
| '\'E\''(f(X0),s(s(s(s(s(s(s('\'0\'')))))))) ),
inference(resolution,[status(thm)],[c2,d5]) ).
cnf(d7,plain,
'\'E\''(f(X0),s(s(s(s(s(s(s('\'0\'')))))))),
inference(resolution,[status(thm)],[d3,d6]) ).
cnf(d8,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X2)),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X1),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s('\'0\''))))))) ),
inference(resolution,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
( ~ '\'E\''(f(X2),s(s(s(s(s(s(s(s('\'0\'')))))))))
| '\'E\''(f(X1),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s('\'0\'')))))))) ),
inference(resolution,[status(thm)],[c8,c5]) ).
cnf(d10,plain,
( ~ '\'E\''(f(X2),s(s(s(s(s(s(s('\'0\''))))))))
| '\'E\''(f(X1),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s('\'0\''))))))))) ),
inference(resolution,[status(thm)],[c2,d9]) ).
cnf(d11,plain,
( '\'E\''(f(X1),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s('\'0\'')))))))) ),
inference(resolution,[status(thm)],[d3,d10]) ).
cnf(d12,plain,
'\'E\''(f(X0),s(s(s(s(s(s('\'0\''))))))),
inference(resolution,[status(thm)],[d7,d11]) ).
cnf(d13,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X1)),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X0),s(s(s(s(s('\'0\'')))))) ),
inference(resolution,[status(thm)],[d12,d8]) ).
cnf(d14,plain,
( ~ '\'E\''(f(X3),s(s(s(s(s(s('\'0\'')))))))
| '\'E\''(f(X2),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s('\'0\''))))))))) ),
inference(resolution,[status(thm)],[c8,c19]) ).
cnf(d15,plain,
( ~ '\'E\''(f(X3),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s('\'0\''))))))))
| '\'E\''(f(X1),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s('\'0\''))))))) ),
inference(resolution,[status(thm)],[c2,d14]) ).
cnf(d16,plain,
( ~ '\'E\''(f(X2),s(s(s(s(s(s('\'0\'')))))))
| '\'E\''(f(X1),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s('\'0\'')))))))) ),
inference(resolution,[status(thm)],[d3,d15]) ).
cnf(d17,plain,
( '\'E\''(f(X1),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s('\'0\''))))))) ),
inference(resolution,[status(thm)],[d7,d16]) ).
cnf(d18,plain,
'\'E\''(f(X0),s(s(s(s(s('\'0\'')))))),
inference(resolution,[status(thm)],[d12,d17]) ).
cnf(d19,plain,
'\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X0)),s(s(s(s('\'0\''))))),
inference(resolution,[status(thm)],[d18,d13]) ).
cnf(d20,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X7)),s(s('\'0\'')))
| ~ '\'E\''(f(X6),s(s(s('\'0\''))))
| ~ '\'E\''(f(X5),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X4),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X3),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))) ),
inference(resolution,[status(thm)],[c8,c18]) ).
cnf(d21,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X6)),s(s('\'0\'')))
| ~ '\'E\''(f(X5),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X4),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X3),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X2),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X1),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X0),s(s(s('\'0\'')))) ),
inference(resolution,[status(thm)],[c2,d20]) ).
cnf(d22,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X5)),s(s('\'0\'')))
| ~ '\'E\''(f(X4),s(s(s('\'0\''))))
| ~ '\'E\''(f(X3),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X2),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s('\'0\''))))))) ),
inference(resolution,[status(thm)],[d3,d21]) ).
cnf(d23,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X4)),s(s('\'0\'')))
| ~ '\'E\''(f(X3),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X2),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X1),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X0),s(s(s('\'0\'')))) ),
inference(resolution,[status(thm)],[d7,d22]) ).
cnf(d24,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X3)),s(s('\'0\'')))
| ~ '\'E\''(f(X2),s(s(s('\'0\''))))
| ~ '\'E\''(f(X1),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X0),s(s(s(s(s('\'0\'')))))) ),
inference(resolution,[status(thm)],[d12,d23]) ).
cnf(d25,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X2)),s(s('\'0\'')))
| ~ '\'E\''(f(X1),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X0),s(s(s('\'0\'')))) ),
inference(resolution,[status(thm)],[d18,d24]) ).
cnf(d26,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X1)),s(s('\'0\'')))
| ~ '\'E\''(f(X0),s(s(s('\'0\'')))) ),
inference(resolution,[status(thm)],[d25,d19]) ).
cnf(d27,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X6)),s(s(s('\'0\''))))
| ~ '\'E\''(f(X5),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X4),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X3),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X2),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s('\'0\''))))))))) ),
inference(resolution,[status(thm)],[c8,c14]) ).
cnf(d28,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X5)),s(s(s('\'0\''))))
| ~ '\'E\''(f(X4),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X3),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X2),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s('\'0\''))))))) ),
inference(resolution,[status(thm)],[c2,d27]) ).
cnf(d29,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X4)),s(s(s('\'0\''))))
| ~ '\'E\''(f(X3),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X1),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X0),s(s(s(s(s('\'0\'')))))) ),
inference(resolution,[status(thm)],[d3,d28]) ).
cnf(d30,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X3)),s(s(s('\'0\''))))
| ~ '\'E\''(f(X2),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X1),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s('\'0\''))))))) ),
inference(resolution,[status(thm)],[d7,d29]) ).
cnf(d31,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X2)),s(s(s('\'0\''))))
| ~ '\'E\''(f(X1),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X0),s(s(s(s(s('\'0\'')))))) ),
inference(resolution,[status(thm)],[d12,d30]) ).
cnf(d32,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X1)),s(s(s('\'0\''))))
| ~ '\'E\''(f(X0),s(s(s(s('\'0\''))))) ),
inference(resolution,[status(thm)],[d18,d31]) ).
cnf(d33,plain,
'\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X0)),s(s(s('\'0\'')))),
inference(resolution,[status(thm)],[d32,d19]) ).
cnf(d34,plain,
'\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X0)),s(s('\'0\''))),
inference(resolution,[status(thm)],[d33,d26]) ).
cnf(d35,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X8)),s('\'0\''))
| ~ '\'E\''(f(X7),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X6),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X5),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X4),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X3),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X2),s(s(s('\'0\''))))
| ~ '\'E\''(f(X1),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X0),s(s('\'0\''))) ),
inference(resolution,[status(thm)],[c8,c10]) ).
cnf(d36,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X7)),s('\'0\''))
| ~ '\'E\''(f(X6),s(s('\'0\'')))
| ~ '\'E\''(f(X5),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X4),s(s(s('\'0\''))))
| ~ '\'E\''(f(X3),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X1),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X0),s(s(s(s(s('\'0\'')))))) ),
inference(resolution,[status(thm)],[c2,d35]) ).
cnf(d37,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X6)),s('\'0\''))
| ~ '\'E\''(f(X5),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X4),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X3),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X1),s(s(s('\'0\''))))
| ~ '\'E\''(f(X0),s(s('\'0\''))) ),
inference(resolution,[status(thm)],[d3,d36]) ).
cnf(d38,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X5)),s('\'0\''))
| ~ '\'E\''(f(X4),s(s('\'0\'')))
| ~ '\'E\''(f(X3),s(s(s('\'0\''))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X1),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X0),s(s(s(s(s('\'0\'')))))) ),
inference(resolution,[status(thm)],[d7,d37]) ).
cnf(d39,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X4)),s('\'0\''))
| ~ '\'E\''(f(X3),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X2),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X1),s(s(s('\'0\''))))
| ~ '\'E\''(f(X0),s(s('\'0\''))) ),
inference(resolution,[status(thm)],[d12,d38]) ).
cnf(d40,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X3)),s('\'0\''))
| ~ '\'E\''(f(X2),s(s('\'0\'')))
| ~ '\'E\''(f(X1),s(s(s('\'0\''))))
| ~ '\'E\''(f(X0),s(s(s(s('\'0\''))))) ),
inference(resolution,[status(thm)],[d18,d39]) ).
cnf(d41,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X2)),s('\'0\''))
| ~ '\'E\''(f(X1),s(s(s('\'0\''))))
| ~ '\'E\''(f(X0),s(s('\'0\''))) ),
inference(resolution,[status(thm)],[d40,d19]) ).
cnf(d42,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X1)),s('\'0\''))
| ~ '\'E\''(f(X0),s(s('\'0\''))) ),
inference(resolution,[status(thm)],[d41,d33]) ).
cnf(d43,plain,
'\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X0)),s('\'0\'')),
inference(resolution,[status(thm)],[d42,d34]) ).
cnf(d44,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X9)),'\'0\'')
| ~ '\'E\''(f(X8),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X7),s(s('\'0\'')))
| ~ '\'E\''(f(X6),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X5),s('\'0\''))
| ~ '\'E\''(f(X4),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X3),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X1),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X0),s(s(s('\'0\'')))) ),
inference(resolution,[status(thm)],[c8,c21]) ).
cnf(d45,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X8)),'\'0\'')
| ~ '\'E\''(f(X7),s(s(s('\'0\''))))
| ~ '\'E\''(f(X6),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X5),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X4),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X3),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X2),s('\'0\''))
| ~ '\'E\''(f(X1),s(s('\'0\'')))
| ~ '\'E\''(f(X0),s(s(s(s(s(s('\'0\''))))))) ),
inference(resolution,[status(thm)],[c2,d44]) ).
cnf(d46,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X7)),'\'0\'')
| ~ '\'E\''(f(X6),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X5),s(s('\'0\'')))
| ~ '\'E\''(f(X4),s('\'0\''))
| ~ '\'E\''(f(X3),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X1),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X0),s(s(s('\'0\'')))) ),
inference(resolution,[status(thm)],[d3,d45]) ).
cnf(d47,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X6)),'\'0\'')
| ~ '\'E\''(f(X5),s(s(s('\'0\''))))
| ~ '\'E\''(f(X4),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X3),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X2),s('\'0\''))
| ~ '\'E\''(f(X1),s(s('\'0\'')))
| ~ '\'E\''(f(X0),s(s(s(s(s(s('\'0\''))))))) ),
inference(resolution,[status(thm)],[d7,d46]) ).
cnf(d48,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X5)),'\'0\'')
| ~ '\'E\''(f(X4),s(s('\'0\'')))
| ~ '\'E\''(f(X3),s('\'0\''))
| ~ '\'E\''(f(X2),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X1),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X0),s(s(s('\'0\'')))) ),
inference(resolution,[status(thm)],[d12,d47]) ).
cnf(d49,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X4)),'\'0\'')
| ~ '\'E\''(f(X3),s(s(s('\'0\''))))
| ~ '\'E\''(f(X2),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X1),s('\'0\''))
| ~ '\'E\''(f(X0),s(s('\'0\''))) ),
inference(resolution,[status(thm)],[d18,d48]) ).
cnf(d50,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X3)),'\'0\'')
| ~ '\'E\''(f(X2),s(s('\'0\'')))
| ~ '\'E\''(f(X1),s('\'0\''))
| ~ '\'E\''(f(X0),s(s(s('\'0\'')))) ),
inference(resolution,[status(thm)],[d49,d19]) ).
cnf(d51,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X2)),'\'0\'')
| ~ '\'E\''(f(X1),s('\'0\''))
| ~ '\'E\''(f(X0),s(s('\'0\''))) ),
inference(resolution,[status(thm)],[d50,d33]) ).
cnf(d52,plain,
( '\'E\''(f('\'AP\''(s(s(s(s(s(s(s(s(s(s(s('\'0\''))))))))))),X1)),'\'0\'')
| ~ '\'E\''(f(X0),s('\'0\'')) ),
inference(resolution,[status(thm)],[d51,d34]) ).
cnf(d53,plain,
( ~ '\'E\''(f(X9),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X8),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X7),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X6),s(s(s(s(s(s(s(s(s(s('\'0\'')))))))))))
| ~ '\'E\''(f(X5),s(s(s('\'0\''))))
| ~ '\'E\''(f(X4),s('\'0\''))
| ~ '\'E\''(f(X3),'\'0\'')
| ~ '\'E\''(f(X2),s(s('\'0\'')))
| ~ '\'E\''(f(X1),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X0),s(s(s(s(s(s(s(s('\'0\''))))))))) ),
inference(resolution,[status(thm)],[c8,c16]) ).
cnf(d54,plain,
( ~ '\'E\''(f(X8),s(s(s(s(s(s(s(s('\'0\'')))))))))
| ~ '\'E\''(f(X7),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X6),s(s('\'0\'')))
| ~ '\'E\''(f(X5),'\'0\'')
| ~ '\'E\''(f(X4),s('\'0\''))
| ~ '\'E\''(f(X3),s(s(s('\'0\''))))
| ~ '\'E\''(f(X2),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X1),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X0),s(s(s(s('\'0\''))))) ),
inference(resolution,[status(thm)],[c2,d53]) ).
cnf(d55,plain,
( ~ '\'E\''(f(X7),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X6),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X5),s(s(s(s(s(s(s('\'0\''))))))))
| ~ '\'E\''(f(X4),s(s(s('\'0\''))))
| ~ '\'E\''(f(X3),s('\'0\''))
| ~ '\'E\''(f(X2),'\'0\'')
| ~ '\'E\''(f(X1),s(s('\'0\'')))
| ~ '\'E\''(f(X0),s(s(s(s(s(s('\'0\''))))))) ),
inference(resolution,[status(thm)],[d3,d54]) ).
cnf(d56,plain,
( ~ '\'E\''(f(X6),s(s(s(s(s(s('\'0\'')))))))
| ~ '\'E\''(f(X5),s(s('\'0\'')))
| ~ '\'E\''(f(X4),'\'0\'')
| ~ '\'E\''(f(X3),s('\'0\''))
| ~ '\'E\''(f(X2),s(s(s('\'0\''))))
| ~ '\'E\''(f(X1),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X0),s(s(s(s('\'0\''))))) ),
inference(resolution,[status(thm)],[d7,d55]) ).
cnf(d57,plain,
( ~ '\'E\''(f(X5),s(s(s(s('\'0\'')))))
| ~ '\'E\''(f(X4),s(s(s(s(s('\'0\''))))))
| ~ '\'E\''(f(X3),s(s(s('\'0\''))))
| ~ '\'E\''(f(X2),s('\'0\''))
| ~ '\'E\''(f(X1),'\'0\'')
| ~ '\'E\''(f(X0),s(s('\'0\''))) ),
inference(resolution,[status(thm)],[d12,d56]) ).
cnf(d58,plain,
( ~ '\'E\''(f(X4),s(s('\'0\'')))
| ~ '\'E\''(f(X3),'\'0\'')
| ~ '\'E\''(f(X2),s('\'0\''))
| ~ '\'E\''(f(X1),s(s(s('\'0\''))))
| ~ '\'E\''(f(X0),s(s(s(s('\'0\''))))) ),
inference(resolution,[status(thm)],[d18,d57]) ).
cnf(d59,plain,
( ~ '\'E\''(f(X3),s(s(s('\'0\''))))
| ~ '\'E\''(f(X2),s('\'0\''))
| ~ '\'E\''(f(X1),'\'0\'')
| ~ '\'E\''(f(X0),s(s('\'0\''))) ),
inference(resolution,[status(thm)],[d19,d58]) ).
cnf(d60,plain,
( ~ '\'E\''(f(X2),s(s('\'0\'')))
| ~ '\'E\''(f(X1),'\'0\'')
| ~ '\'E\''(f(X0),s('\'0\'')) ),
inference(resolution,[status(thm)],[d33,d59]) ).
cnf(d61,plain,
( ~ '\'E\''(f(X1),s('\'0\''))
| ~ '\'E\''(f(X0),'\'0\'') ),
inference(resolution,[status(thm)],[d34,d60]) ).
cnf(d62,plain,
~ '\'E\''(f(X0),'\'0\''),
inference(resolution,[status(thm)],[d43,d61]) ).
cnf(d63,plain,
~ '\'E\''(f(X0),s('\'0\'')),
inference(resolution,[status(thm)],[d62,d52]) ).
cnf(d64,plain,
$false,
inference(resolution,[status(thm)],[d63,d43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO634-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n005.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sat Sep 26 19:40:51 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.80/7.42 % SZS status Unsatisfiable for theBenchmark.p
% 15.80/7.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------