%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM283-1.005 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 08:10:59 AM UTC 2026
% Result : Unsatisfiable 26.21s 5.35s
% Output : CNFRefutation 26.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 144
% Number of leaves : 7
% Syntax : Number of clauses : 159 ( 10 unt; 0 nHn; 155 RR)
% Number of literals : 1265 ( 0 equ;1248 neg)
% Maximal clause size : 14 ( 7 avg)
% Maximal term depth : 97 ( 8 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 1175 ( 133 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(add_0,axiom,
sum(X0,n0,X0) ).
cnf(add,axiom,
( sum(X0,s(X1),s(X2))
| ~ sum(X0,X1,X2) ) ).
cnf(times1,axiom,
product(s(n0),X0,X0) ).
cnf(times,axiom,
( product(s(X3),X1,X2)
| ~ product(X3,X1,X0)
| ~ sum(X0,X1,X2) ) ).
cnf(factorial_0,axiom,
factorial(n0,s(n0)) ).
cnf(factorial,axiom,
( factorial(s(X0),X2)
| ~ product(s(X0),X1,X2)
| ~ factorial(X0,X1) ) ).
cnf(prove_factorial,negated_conjecture,
~ factorial(s(s(s(s(s(n0))))),X0) ).
cnf(c0,plain,
sum(X0,n0,X0),
inference(clausification,[status(esa)],[add_0]) ).
cnf(c1,plain,
( sum(X0,s(X1),s(X2))
| ~ sum(X0,X1,X2) ),
inference(clausification,[status(esa)],[add]) ).
cnf(c2,plain,
product(s(n0),X0,X0),
inference(clausification,[status(esa)],[times1]) ).
cnf(c3,plain,
( product(s(X3),X1,X2)
| ~ product(X3,X1,X0)
| ~ sum(X0,X1,X2) ),
inference(clausification,[status(esa)],[times]) ).
cnf(c4,plain,
factorial(n0,s(n0)),
inference(clausification,[status(esa)],[factorial_0]) ).
cnf(c5,plain,
( factorial(s(X0),X2)
| ~ product(s(X0),X1,X2)
| ~ factorial(X0,X1) ),
inference(clausification,[status(esa)],[factorial]) ).
cnf(c6,plain,
~ factorial(s(s(s(s(s(n0))))),X0),
inference(clausification,[status(esa)],[prove_factorial]) ).
cnf(d0,plain,
( factorial(s(n0),X0)
| ~ factorial(n0,X0) ),
inference(resolution,[status(thm)],[c5,c2]) ).
cnf(d1,plain,
( factorial(s(X3),X2)
| ~ factorial(X3,X1)
| ~ product(X3,X1,X0)
| ~ sum(X0,X1,X2) ),
inference(resolution,[status(thm)],[c3,c5]) ).
cnf(d2,plain,
( factorial(s(s(n0)),X1)
| ~ factorial(s(n0),X0)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
( ~ product(X3,X1,X4)
| ~ sum(X4,X1,X0)
| factorial(s(s(X3)),X2)
| ~ factorial(s(X3),X1)
| ~ sum(X0,X1,X2) ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d4,plain,
( ~ factorial(s(s(s(s(n0)))),X1)
| ~ product(s(s(s(n0))),X1,X0)
| ~ sum(X2,X1,X3)
| ~ sum(X0,X1,X2) ),
inference(resolution,[status(thm)],[d3,c6]) ).
cnf(d5,plain,
( ~ factorial(s(s(s(n0))),X5)
| ~ product(s(s(n0)),X5,X4)
| ~ sum(X6,X5,X1)
| ~ sum(X4,X5,X6)
| ~ product(s(s(s(n0))),X1,X3)
| ~ sum(X3,X1,X0)
| ~ sum(X0,X1,X2) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ product(s(s(n0)),X2,X7)
| ~ sum(X7,X2,X4)
| ~ factorial(s(s(s(n0))),X1)
| ~ product(s(s(n0)),X1,X3)
| ~ sum(X5,X2,X6)
| ~ sum(X4,X2,X5)
| ~ sum(X3,X1,X0)
| ~ sum(X0,X1,X2) ),
inference(resolution,[status(thm)],[d5,c3]) ).
cnf(d7,plain,
( ~ factorial(s(s(n0)),X9)
| ~ product(s(n0),X9,X8)
| ~ sum(X10,X9,X6)
| ~ sum(X8,X9,X10)
| ~ product(s(s(n0)),X6,X5)
| ~ product(s(s(n0)),X1,X0)
| ~ sum(X7,X6,X1)
| ~ sum(X5,X6,X7)
| ~ sum(X2,X1,X3)
| ~ sum(X3,X1,X4)
| ~ sum(X0,X1,X2) ),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
( ~ product(s(n0),X5,X11)
| ~ sum(X11,X5,X10)
| ~ factorial(s(s(n0)),X1)
| ~ product(s(s(n0)),X2,X6)
| ~ product(s(n0),X1,X3)
| ~ sum(X10,X5,X9)
| ~ sum(X9,X5,X7)
| ~ sum(X7,X5,X8)
| ~ sum(X6,X2,X4)
| ~ sum(X4,X2,X5)
| ~ sum(X3,X1,X0)
| ~ sum(X0,X1,X2) ),
inference(resolution,[status(thm)],[d7,c3]) ).
cnf(d9,plain,
( ~ product(s(n0),X7,X12)
| ~ sum(X12,X7,X6)
| ~ factorial(s(s(n0)),X10)
| ~ product(s(n0),X10,X9)
| ~ product(s(n0),X1,X0)
| ~ sum(X11,X10,X7)
| ~ sum(X9,X10,X11)
| ~ sum(X8,X7,X1)
| ~ sum(X6,X7,X8)
| ~ sum(X4,X1,X5)
| ~ sum(X3,X1,X4)
| ~ sum(X2,X1,X3)
| ~ sum(X0,X1,X2) ),
inference(resolution,[status(thm)],[d8,c3]) ).
cnf(d10,plain,
( ~ factorial(s(n0),X13)
| ~ sum(X13,X13,X4)
| ~ product(s(n0),X7,X12)
| ~ product(s(n0),X1,X0)
| ~ product(s(n0),X4,X5)
| ~ sum(X12,X7,X11)
| ~ sum(X11,X7,X10)
| ~ sum(X10,X7,X8)
| ~ sum(X8,X7,X9)
| ~ sum(X2,X1,X6)
| ~ sum(X6,X1,X7)
| ~ sum(X5,X4,X3)
| ~ sum(X3,X4,X1)
| ~ sum(X0,X1,X2) ),
inference(resolution,[status(thm)],[d9,d2]) ).
cnf(d11,plain,
( ~ factorial(s(n0),X0)
| ~ product(s(n0),X1,X10)
| ~ product(s(n0),X3,X2)
| ~ sum(X9,X9,X12)
| ~ sum(X12,X9,X8)
| ~ sum(X11,X1,X9)
| ~ sum(X10,X1,X11)
| ~ sum(X8,X9,X3)
| ~ sum(X6,X3,X7)
| ~ sum(X5,X3,X6)
| ~ sum(X4,X3,X5)
| ~ sum(X2,X3,X4)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d10,c2]) ).
cnf(d12,plain,
( ~ factorial(s(n0),X11)
| ~ product(s(n0),X5,X10)
| ~ sum(X11,X11,X4)
| ~ sum(X10,X5,X9)
| ~ sum(X9,X5,X8)
| ~ sum(X8,X5,X6)
| ~ sum(X6,X5,X7)
| ~ sum(X2,X1,X5)
| ~ sum(X1,X1,X0)
| ~ sum(X4,X4,X3)
| ~ sum(X3,X4,X1)
| ~ sum(X0,X1,X2) ),
inference(resolution,[status(thm)],[d11,c2]) ).
cnf(d13,plain,
( ~ factorial(s(n0),X0)
| ~ sum(X10,X8,X9)
| ~ sum(X8,X8,X10)
| ~ sum(X9,X8,X2)
| ~ sum(X7,X1,X8)
| ~ sum(X1,X1,X7)
| ~ sum(X5,X2,X6)
| ~ sum(X4,X2,X5)
| ~ sum(X3,X2,X4)
| ~ sum(X2,X2,X3)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d12,c2]) ).
cnf(d14,plain,
( ~ factorial(n0,X10)
| ~ sum(X10,X10,X5)
| ~ sum(X5,X5,X4)
| ~ sum(X3,X3,X9)
| ~ sum(X9,X3,X8)
| ~ sum(X8,X3,X6)
| ~ sum(X6,X3,X7)
| ~ sum(X4,X5,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X2,X1,X3)
| ~ sum(X0,X1,X2) ),
inference(resolution,[status(thm)],[d13,d0]) ).
cnf(d15,plain,
( ~ sum(X10,X8,X9)
| ~ factorial(n0,X0)
| ~ sum(s(X8),s(X8),X10)
| ~ sum(s(X9),s(X8),X3)
| ~ sum(X3,X3,X2)
| ~ sum(X7,X1,s(X8))
| ~ sum(X1,X1,X7)
| ~ sum(X5,X3,X6)
| ~ sum(X4,X3,X5)
| ~ sum(X2,X3,X4)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d14,c1]) ).
cnf(d16,plain,
( ~ sum(s(X1),X1,X0)
| ~ factorial(n0,X10)
| ~ sum(s(X2),s(X1),X6)
| ~ sum(X10,X10,X4)
| ~ sum(X4,X4,X3)
| ~ sum(X9,X6,X8)
| ~ sum(X6,X6,X9)
| ~ sum(X8,X6,X5)
| ~ sum(X5,X6,X7)
| ~ sum(X3,X4,s(X1))
| ~ sum(s(X0),X1,X2) ),
inference(resolution,[status(thm)],[d15,c1]) ).
cnf(d17,plain,
( ~ sum(s(X10),X8,X3)
| ~ factorial(n0,X0)
| ~ sum(s(X9),X8,X10)
| ~ sum(s(X8),X8,X9)
| ~ sum(X7,X1,s(X8))
| ~ sum(X1,X1,X7)
| ~ sum(X5,s(X3),X6)
| ~ sum(s(X3),s(X3),X2)
| ~ sum(X4,s(X3),X5)
| ~ sum(X2,s(X3),X4)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d16,c1]) ).
cnf(d18,plain,
( ~ sum(s(X4),X4,X7)
| ~ factorial(n0,X8)
| ~ sum(s(X2),X2,X10)
| ~ sum(s(X10),X2,X9)
| ~ sum(s(X9),X2,X4)
| ~ sum(X8,X8,X1)
| ~ sum(X1,X1,X0)
| ~ sum(s(X7),s(X4),X6)
| ~ sum(X6,s(X4),X3)
| ~ sum(X3,s(X4),X5)
| ~ sum(X0,X1,s(X2)) ),
inference(resolution,[status(thm)],[d17,c1]) ).
cnf(d19,plain,
( ~ sum(s(X10),X3,X2)
| ~ factorial(n0,X0)
| ~ sum(s(X7),X7,X8)
| ~ sum(s(X3),X3,X10)
| ~ sum(s(X9),X7,X3)
| ~ sum(s(X8),X7,X9)
| ~ sum(X6,X1,s(X7))
| ~ sum(X1,X1,X6)
| ~ sum(X4,s(X3),X5)
| ~ sum(s(X2),s(X3),X4)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d18,c1]) ).
cnf(d20,plain,
( ~ sum(s(X8),X4,X3)
| ~ factorial(n0,X6)
| ~ sum(s(X4),X4,X7)
| ~ sum(s(X2),X2,X10)
| ~ sum(s(X10),X2,X9)
| ~ sum(s(X9),X2,X4)
| ~ sum(s(X7),X4,X8)
| ~ sum(X6,X6,X1)
| ~ sum(X1,X1,X0)
| ~ sum(s(X3),s(X4),X5)
| ~ sum(X0,X1,s(X2)) ),
inference(resolution,[status(thm)],[d19,c1]) ).
cnf(d21,plain,
( ~ sum(s(X8),X6,X10)
| ~ factorial(n0,X0)
| ~ sum(s(X3),X3,X4)
| ~ sum(s(X6),X6,X9)
| ~ sum(s(X9),X6,X7)
| ~ sum(s(X7),X6,X8)
| ~ sum(s(X5),X3,X6)
| ~ sum(s(X4),X3,X5)
| ~ sum(X2,X1,s(X3))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d20,c1]) ).
cnf(d22,plain,
( ~ sum(s(s(X2)),X2,X10)
| ~ factorial(n0,X3)
| ~ sum(s(s(X10)),s(X2),X9)
| ~ sum(s(X9),s(X2),X5)
| ~ sum(s(X5),X5,X4)
| ~ sum(s(X6),X5,X7)
| ~ sum(s(X7),X5,X8)
| ~ sum(s(X4),X5,X6)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(X2))) ),
inference(resolution,[status(thm)],[d21,c1]) ).
cnf(d23,plain,
( ~ sum(s(s(X10)),X3,X4)
| ~ factorial(n0,X0)
| ~ sum(s(s(X3)),X3,X10)
| ~ sum(s(X9),X5,X8)
| ~ sum(s(X5),X5,X9)
| ~ sum(s(X8),X5,X6)
| ~ sum(s(X6),X5,X7)
| ~ sum(s(s(X4)),s(X3),X5)
| ~ sum(X2,X1,s(s(X3)))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d22,c1]) ).
cnf(d24,plain,
( ~ sum(s(s(X10)),X2,X5)
| ~ factorial(n0,X3)
| ~ sum(s(s(X2)),X2,X9)
| ~ sum(s(s(X9)),X2,X10)
| ~ sum(s(s(X5)),s(X5),X4)
| ~ sum(s(X7),s(X5),X8)
| ~ sum(s(X6),s(X5),X7)
| ~ sum(s(X4),s(X5),X6)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(X2))) ),
inference(resolution,[status(thm)],[d23,c1]) ).
cnf(d25,plain,
( ~ sum(s(s(X5)),X5,X8)
| ~ factorial(n0,X0)
| ~ sum(s(s(X3)),X3,X10)
| ~ sum(s(s(X10)),X3,X9)
| ~ sum(s(s(X9)),X3,X5)
| ~ sum(s(s(X8)),s(X5),X7)
| ~ sum(s(X7),s(X5),X4)
| ~ sum(s(X4),s(X5),X6)
| ~ sum(X2,X1,s(s(X3)))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d24,c1]) ).
cnf(d26,plain,
( ~ sum(s(s(X10)),X5,X4)
| ~ factorial(n0,X3)
| ~ sum(s(s(X2)),X2,X8)
| ~ sum(s(s(X5)),X5,X10)
| ~ sum(s(s(X9)),X2,X5)
| ~ sum(s(s(X8)),X2,X9)
| ~ sum(s(X6),s(X5),X7)
| ~ sum(s(s(X4)),s(X5),X6)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(X2))) ),
inference(resolution,[status(thm)],[d25,c1]) ).
cnf(d27,plain,
( ~ sum(s(s(X8)),X5,X4)
| ~ factorial(n0,X0)
| ~ sum(s(s(X3)),X3,X10)
| ~ sum(s(s(X5)),X5,X7)
| ~ sum(s(s(X10)),X3,X9)
| ~ sum(s(s(X9)),X3,X5)
| ~ sum(s(s(X7)),X5,X8)
| ~ sum(s(s(X4)),s(X5),X6)
| ~ sum(X2,X1,s(s(X3)))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d26,c1]) ).
cnf(d28,plain,
( ~ sum(s(s(X8)),X6,X10)
| ~ factorial(n0,X3)
| ~ sum(s(s(X2)),X2,X4)
| ~ sum(s(s(X6)),X6,X9)
| ~ sum(s(s(X9)),X6,X7)
| ~ sum(s(s(X7)),X6,X8)
| ~ sum(s(s(X5)),X2,X6)
| ~ sum(s(s(X4)),X2,X5)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(X2))) ),
inference(resolution,[status(thm)],[d27,c1]) ).
cnf(d29,plain,
( ~ sum(s(s(s(X3))),X3,X10)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(X10))),s(X3),X9)
| ~ sum(s(s(X9)),s(X3),X5)
| ~ sum(s(s(X5)),X5,X4)
| ~ sum(s(s(X6)),X5,X7)
| ~ sum(s(s(X7)),X5,X8)
| ~ sum(s(s(X4)),X5,X6)
| ~ sum(X2,X1,s(s(s(X3))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d28,c1]) ).
cnf(d30,plain,
( ~ sum(s(s(s(X10))),X2,X4)
| ~ factorial(n0,X3)
| ~ sum(s(s(s(X2))),X2,X10)
| ~ sum(s(s(X9)),X5,X8)
| ~ sum(s(s(X5)),X5,X9)
| ~ sum(s(s(X8)),X5,X6)
| ~ sum(s(s(X6)),X5,X7)
| ~ sum(s(s(s(X4))),s(X2),X5)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(X2)))) ),
inference(resolution,[status(thm)],[d29,c1]) ).
cnf(d31,plain,
( ~ sum(s(s(s(X10))),X3,X5)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(X3))),X3,X9)
| ~ sum(s(s(s(X9))),X3,X10)
| ~ sum(s(s(s(X5))),s(X5),X4)
| ~ sum(s(s(X7)),s(X5),X8)
| ~ sum(s(s(X6)),s(X5),X7)
| ~ sum(s(s(X4)),s(X5),X6)
| ~ sum(X2,X1,s(s(s(X3))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d30,c1]) ).
cnf(d32,plain,
( ~ sum(s(s(s(X5))),X5,X8)
| ~ factorial(n0,X3)
| ~ sum(s(s(s(X2))),X2,X10)
| ~ sum(s(s(s(X10))),X2,X9)
| ~ sum(s(s(s(X9))),X2,X5)
| ~ sum(s(s(s(X8))),s(X5),X7)
| ~ sum(s(s(X7)),s(X5),X4)
| ~ sum(s(s(X4)),s(X5),X6)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(X2)))) ),
inference(resolution,[status(thm)],[d31,c1]) ).
cnf(d33,plain,
( ~ sum(s(s(s(X10))),X5,X4)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(X3))),X3,X8)
| ~ sum(s(s(s(X5))),X5,X10)
| ~ sum(s(s(s(X9))),X3,X5)
| ~ sum(s(s(s(X8))),X3,X9)
| ~ sum(s(s(X6)),s(X5),X7)
| ~ sum(s(s(s(X4))),s(X5),X6)
| ~ sum(X2,X1,s(s(s(X3))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d32,c1]) ).
cnf(d34,plain,
( ~ sum(s(s(s(X8))),X5,X4)
| ~ factorial(n0,X3)
| ~ sum(s(s(s(X2))),X2,X10)
| ~ sum(s(s(s(X5))),X5,X7)
| ~ sum(s(s(s(X10))),X2,X9)
| ~ sum(s(s(s(X9))),X2,X5)
| ~ sum(s(s(s(X7))),X5,X8)
| ~ sum(s(s(s(X4))),s(X5),X6)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(X2)))) ),
inference(resolution,[status(thm)],[d33,c1]) ).
cnf(d35,plain,
( ~ sum(s(s(s(X8))),X6,X10)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(X3))),X3,X4)
| ~ sum(s(s(s(X6))),X6,X9)
| ~ sum(s(s(s(X9))),X6,X7)
| ~ sum(s(s(s(X7))),X6,X8)
| ~ sum(s(s(s(X5))),X3,X6)
| ~ sum(s(s(s(X4))),X3,X5)
| ~ sum(X2,X1,s(s(s(X3))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d34,c1]) ).
cnf(d36,plain,
( ~ sum(s(s(s(s(X2)))),X2,X10)
| ~ factorial(n0,X3)
| ~ sum(s(s(s(s(X10)))),s(X2),X9)
| ~ sum(s(s(s(X9))),s(X2),X5)
| ~ sum(s(s(s(X5))),X5,X4)
| ~ sum(s(s(s(X6))),X5,X7)
| ~ sum(s(s(s(X7))),X5,X8)
| ~ sum(s(s(s(X4))),X5,X6)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(X2))))) ),
inference(resolution,[status(thm)],[d35,c1]) ).
cnf(d37,plain,
( ~ sum(s(s(s(s(X10)))),X3,X4)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(X3)))),X3,X10)
| ~ sum(s(s(s(X9))),X5,X8)
| ~ sum(s(s(s(X5))),X5,X9)
| ~ sum(s(s(s(X8))),X5,X6)
| ~ sum(s(s(s(X6))),X5,X7)
| ~ sum(s(s(s(s(X4)))),s(X3),X5)
| ~ sum(X2,X1,s(s(s(s(X3)))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d36,c1]) ).
cnf(d38,plain,
( ~ sum(s(s(s(s(X10)))),X2,X5)
| ~ factorial(n0,X3)
| ~ sum(s(s(s(s(X2)))),X2,X9)
| ~ sum(s(s(s(s(X9)))),X2,X10)
| ~ sum(s(s(s(s(X5)))),s(X5),X4)
| ~ sum(s(s(s(X7))),s(X5),X8)
| ~ sum(s(s(s(X6))),s(X5),X7)
| ~ sum(s(s(s(X4))),s(X5),X6)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(X2))))) ),
inference(resolution,[status(thm)],[d37,c1]) ).
cnf(d39,plain,
( ~ sum(s(s(s(s(X5)))),X5,X8)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(X3)))),X3,X10)
| ~ sum(s(s(s(s(X10)))),X3,X9)
| ~ sum(s(s(s(s(X9)))),X3,X5)
| ~ sum(s(s(s(s(X8)))),s(X5),X7)
| ~ sum(s(s(s(X7))),s(X5),X4)
| ~ sum(s(s(s(X4))),s(X5),X6)
| ~ sum(X2,X1,s(s(s(s(X3)))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d38,c1]) ).
cnf(d40,plain,
( ~ sum(s(s(s(s(X10)))),X5,X4)
| ~ factorial(n0,X3)
| ~ sum(s(s(s(s(X2)))),X2,X8)
| ~ sum(s(s(s(s(X5)))),X5,X10)
| ~ sum(s(s(s(s(X9)))),X2,X5)
| ~ sum(s(s(s(s(X8)))),X2,X9)
| ~ sum(s(s(s(X6))),s(X5),X7)
| ~ sum(s(s(s(s(X4)))),s(X5),X6)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(X2))))) ),
inference(resolution,[status(thm)],[d39,c1]) ).
cnf(d41,plain,
( ~ sum(s(s(s(s(X8)))),X5,X4)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(X3)))),X3,X10)
| ~ sum(s(s(s(s(X5)))),X5,X7)
| ~ sum(s(s(s(s(X10)))),X3,X9)
| ~ sum(s(s(s(s(X9)))),X3,X5)
| ~ sum(s(s(s(s(X7)))),X5,X8)
| ~ sum(s(s(s(s(X4)))),s(X5),X6)
| ~ sum(X2,X1,s(s(s(s(X3)))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d40,c1]) ).
cnf(d42,plain,
( ~ sum(s(s(s(s(X8)))),X6,X10)
| ~ factorial(n0,X3)
| ~ sum(s(s(s(s(X2)))),X2,X4)
| ~ sum(s(s(s(s(X6)))),X6,X9)
| ~ sum(s(s(s(s(X9)))),X6,X7)
| ~ sum(s(s(s(s(X7)))),X6,X8)
| ~ sum(s(s(s(s(X5)))),X2,X6)
| ~ sum(s(s(s(s(X4)))),X2,X5)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(X2))))) ),
inference(resolution,[status(thm)],[d41,c1]) ).
cnf(d43,plain,
( ~ sum(s(s(s(s(s(X3))))),X3,X10)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(X10))))),s(X3),X9)
| ~ sum(s(s(s(s(X9)))),s(X3),X5)
| ~ sum(s(s(s(s(X5)))),X5,X4)
| ~ sum(s(s(s(s(X6)))),X5,X7)
| ~ sum(s(s(s(s(X7)))),X5,X8)
| ~ sum(s(s(s(s(X4)))),X5,X6)
| ~ sum(X2,X1,s(s(s(s(s(X3))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d42,c1]) ).
cnf(d44,plain,
( ~ sum(s(s(s(s(s(X10))))),X2,X4)
| ~ factorial(n0,X3)
| ~ sum(s(s(s(s(s(X2))))),X2,X10)
| ~ sum(s(s(s(s(X9)))),X5,X8)
| ~ sum(s(s(s(s(X5)))),X5,X9)
| ~ sum(s(s(s(s(X8)))),X5,X6)
| ~ sum(s(s(s(s(X6)))),X5,X7)
| ~ sum(s(s(s(s(s(X4))))),s(X2),X5)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(X2)))))) ),
inference(resolution,[status(thm)],[d43,c1]) ).
cnf(d45,plain,
( ~ sum(s(s(s(s(s(X10))))),X3,X5)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(X3))))),X3,X9)
| ~ sum(s(s(s(s(s(X9))))),X3,X10)
| ~ sum(s(s(s(s(s(X5))))),s(X5),X4)
| ~ sum(s(s(s(s(X7)))),s(X5),X8)
| ~ sum(s(s(s(s(X6)))),s(X5),X7)
| ~ sum(s(s(s(s(X4)))),s(X5),X6)
| ~ sum(X2,X1,s(s(s(s(s(X3))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d44,c1]) ).
cnf(d46,plain,
( ~ sum(s(s(s(s(s(X5))))),X5,X8)
| ~ factorial(n0,X3)
| ~ sum(s(s(s(s(s(X2))))),X2,X10)
| ~ sum(s(s(s(s(s(X10))))),X2,X9)
| ~ sum(s(s(s(s(s(X9))))),X2,X5)
| ~ sum(s(s(s(s(s(X8))))),s(X5),X7)
| ~ sum(s(s(s(s(X7)))),s(X5),X4)
| ~ sum(s(s(s(s(X4)))),s(X5),X6)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(X2)))))) ),
inference(resolution,[status(thm)],[d45,c1]) ).
cnf(d47,plain,
( ~ sum(s(s(s(s(s(X10))))),X5,X4)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(X3))))),X3,X8)
| ~ sum(s(s(s(s(s(X5))))),X5,X10)
| ~ sum(s(s(s(s(s(X9))))),X3,X5)
| ~ sum(s(s(s(s(s(X8))))),X3,X9)
| ~ sum(s(s(s(s(X6)))),s(X5),X7)
| ~ sum(s(s(s(s(s(X4))))),s(X5),X6)
| ~ sum(X2,X1,s(s(s(s(s(X3))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d46,c1]) ).
cnf(d48,plain,
( ~ sum(s(s(s(s(s(X8))))),X5,X4)
| ~ factorial(n0,X3)
| ~ sum(s(s(s(s(s(X2))))),X2,X10)
| ~ sum(s(s(s(s(s(X5))))),X5,X7)
| ~ sum(s(s(s(s(s(X10))))),X2,X9)
| ~ sum(s(s(s(s(s(X9))))),X2,X5)
| ~ sum(s(s(s(s(s(X7))))),X5,X8)
| ~ sum(s(s(s(s(s(X4))))),s(X5),X6)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(X2)))))) ),
inference(resolution,[status(thm)],[d47,c1]) ).
cnf(d49,plain,
( ~ sum(s(s(s(s(s(X8))))),X6,X10)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(X3))))),X3,X4)
| ~ sum(s(s(s(s(s(X6))))),X6,X9)
| ~ sum(s(s(s(s(s(X9))))),X6,X7)
| ~ sum(s(s(s(s(s(X7))))),X6,X8)
| ~ sum(s(s(s(s(s(X5))))),X3,X6)
| ~ sum(s(s(s(s(s(X4))))),X3,X5)
| ~ sum(X2,X1,s(s(s(s(s(X3))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d48,c1]) ).
cnf(d50,plain,
( ~ sum(s(s(s(s(s(s(X2)))))),X2,X10)
| ~ factorial(n0,X3)
| ~ sum(s(s(s(s(s(s(X10)))))),s(X2),X9)
| ~ sum(s(s(s(s(s(X9))))),s(X2),X5)
| ~ sum(s(s(s(s(s(X5))))),X5,X4)
| ~ sum(s(s(s(s(s(X6))))),X5,X7)
| ~ sum(s(s(s(s(s(X7))))),X5,X8)
| ~ sum(s(s(s(s(s(X4))))),X5,X6)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(X2))))))) ),
inference(resolution,[status(thm)],[d49,c1]) ).
cnf(d51,plain,
( ~ sum(s(s(s(s(s(s(X10)))))),X3,X4)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(X3)))))),X3,X10)
| ~ sum(s(s(s(s(s(X9))))),X5,X8)
| ~ sum(s(s(s(s(s(X5))))),X5,X9)
| ~ sum(s(s(s(s(s(X8))))),X5,X6)
| ~ sum(s(s(s(s(s(X6))))),X5,X7)
| ~ sum(s(s(s(s(s(s(X4)))))),s(X3),X5)
| ~ sum(X2,X1,s(s(s(s(s(s(X3)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d50,c1]) ).
cnf(d52,plain,
( ~ sum(s(s(s(s(s(s(X10)))))),X2,X5)
| ~ factorial(n0,X3)
| ~ sum(s(s(s(s(s(s(X2)))))),X2,X9)
| ~ sum(s(s(s(s(s(s(X9)))))),X2,X10)
| ~ sum(s(s(s(s(s(s(X5)))))),s(X5),X4)
| ~ sum(s(s(s(s(s(X7))))),s(X5),X8)
| ~ sum(s(s(s(s(s(X6))))),s(X5),X7)
| ~ sum(s(s(s(s(s(X4))))),s(X5),X6)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(X2))))))) ),
inference(resolution,[status(thm)],[d51,c1]) ).
cnf(d53,plain,
( ~ sum(s(s(s(s(s(s(X5)))))),X5,X8)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(X3)))))),X3,X10)
| ~ sum(s(s(s(s(s(s(X10)))))),X3,X9)
| ~ sum(s(s(s(s(s(s(X9)))))),X3,X5)
| ~ sum(s(s(s(s(s(s(X8)))))),s(X5),X7)
| ~ sum(s(s(s(s(s(X7))))),s(X5),X4)
| ~ sum(s(s(s(s(s(X4))))),s(X5),X6)
| ~ sum(X2,X1,s(s(s(s(s(s(X3)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d52,c1]) ).
cnf(d54,plain,
( ~ sum(s(s(s(s(s(s(X10)))))),X5,X4)
| ~ factorial(n0,X3)
| ~ sum(s(s(s(s(s(s(X2)))))),X2,X8)
| ~ sum(s(s(s(s(s(s(X5)))))),X5,X10)
| ~ sum(s(s(s(s(s(s(X9)))))),X2,X5)
| ~ sum(s(s(s(s(s(s(X8)))))),X2,X9)
| ~ sum(s(s(s(s(s(X6))))),s(X5),X7)
| ~ sum(s(s(s(s(s(s(X4)))))),s(X5),X6)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(X2))))))) ),
inference(resolution,[status(thm)],[d53,c1]) ).
cnf(d55,plain,
( ~ sum(s(s(s(s(s(s(X8)))))),X5,X4)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(X3)))))),X3,X10)
| ~ sum(s(s(s(s(s(s(X5)))))),X5,X7)
| ~ sum(s(s(s(s(s(s(X10)))))),X3,X9)
| ~ sum(s(s(s(s(s(s(X9)))))),X3,X5)
| ~ sum(s(s(s(s(s(s(X7)))))),X5,X8)
| ~ sum(s(s(s(s(s(s(X4)))))),s(X5),X6)
| ~ sum(X2,X1,s(s(s(s(s(s(X3)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d54,c1]) ).
cnf(d56,plain,
( ~ sum(s(s(s(s(s(s(X8)))))),X6,X10)
| ~ factorial(n0,X3)
| ~ sum(s(s(s(s(s(s(X2)))))),X2,X4)
| ~ sum(s(s(s(s(s(s(X6)))))),X6,X9)
| ~ sum(s(s(s(s(s(s(X9)))))),X6,X7)
| ~ sum(s(s(s(s(s(s(X7)))))),X6,X8)
| ~ sum(s(s(s(s(s(s(X5)))))),X2,X6)
| ~ sum(s(s(s(s(s(s(X4)))))),X2,X5)
| ~ sum(X3,X3,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(X2))))))) ),
inference(resolution,[status(thm)],[d55,c1]) ).
cnf(d57,plain,
( ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),n0,X8)
| ~ sum(s(s(s(s(s(s(X8)))))),n0,X4)
| ~ sum(s(s(s(s(s(s(X4)))))),X4,X3)
| ~ sum(s(s(s(s(s(s(X5)))))),X4,X6)
| ~ sum(s(s(s(s(s(s(X6)))))),X4,X7)
| ~ sum(s(s(s(s(s(s(X3)))))),X4,X5)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d56,c0]) ).
cnf(d58,plain,
( ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(X7)))))),X3,X6)
| ~ sum(s(s(s(s(s(s(X3)))))),X3,X7)
| ~ sum(s(s(s(s(s(s(X6)))))),X3,X4)
| ~ sum(s(s(s(s(s(s(X4)))))),X3,X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),n0,X3)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d57,c0]) ).
cnf(d59,plain,
( ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X5)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X6)
| ~ sum(s(s(s(s(s(s(X4)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X5)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d58,c0]) ).
cnf(d60,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(X6))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X5)
| ~ sum(s(s(s(s(s(s(X5)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d59,c1]) ).
cnf(d61,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))),X6)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(X6)))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X4)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X5)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d60,c1]) ).
cnf(d62,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(X6))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X5)
| ~ sum(s(s(s(s(s(s(X5)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d61,c1]) ).
cnf(d63,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),X6)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(X6)))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X4)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X5)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d62,c1]) ).
cnf(d64,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X5)
| ~ sum(s(s(s(s(s(s(X5)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d63,c1]) ).
cnf(d65,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),X6)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X4)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X5)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d64,c1]) ).
cnf(d66,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X5)
| ~ sum(s(s(s(s(s(s(X5)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d65,c1]) ).
cnf(d67,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(n0)))))))))),X6)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X4)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X5)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d66,c1]) ).
cnf(d68,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(n0))))))))),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X5)
| ~ sum(s(s(s(s(s(s(X5)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d67,c1]) ).
cnf(d69,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X6)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X4)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X5)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d68,c1]) ).
cnf(d70,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))),X5)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X6)
| ~ sum(s(s(s(s(s(s(s(X5))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d69,c1]) ).
cnf(d71,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))),X5)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X6)
| ~ sum(s(s(s(s(s(s(s(s(X5)))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d70,c1]) ).
cnf(d72,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(n0))))))),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))),X5)
| ~ sum(s(s(s(s(s(s(s(s(X5)))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d71,c1]) ).
cnf(d73,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),X5)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(n0))))))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(X5))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d72,c1]) ).
cnf(d74,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),X5)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(n0))))))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(X5)))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d73,c1]) ).
cnf(d75,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(n0)))))),X6)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(X5)))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d74,c1]) ).
cnf(d76,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),X5)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(n0)))))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d75,c1]) ).
cnf(d77,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),X5)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(n0)))))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d76,c1]) ).
cnf(d78,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(n0))))),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d77,c1]) ).
cnf(d79,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),X5)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(n0))))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(X3)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d78,c1]) ).
cnf(d80,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))),X3)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(n0))))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),X6)
| ~ sum(s(s(s(s(s(s(s(X3))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d79,c1]) ).
cnf(d81,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(n0)))))))))),X5)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(n0))))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(s(X3))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d80,c1]) ).
cnf(d82,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))),X3)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(n0))))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(n0)))))))))),X6)
| ~ sum(s(s(s(s(s(s(s(s(X3)))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d81,c1]) ).
cnf(d83,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),X3)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(n0))))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(n0)))))))))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(X3))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d82,c1]) ).
cnf(d84,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(n0)))),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(n0)))))))))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(X3))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d83,c1]) ).
cnf(d85,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))))),s(s(s(s(s(s(s(s(s(n0))))))))),X5)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(n0)))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(X3))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d84,c1]) ).
cnf(d86,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),X3)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(n0)))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))),s(s(s(s(s(s(s(s(s(n0))))))))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(X3)))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d85,c1]) ).
cnf(d87,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X5)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(n0)))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(X3)))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d86,c1]) ).
cnf(d88,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),X3)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(n0)))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d87,c1]) ).
cnf(d89,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),X3)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(n0)))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d88,c1]) ).
cnf(d90,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(X4)))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(n0)))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d89,c1]) ).
cnf(d91,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(X4)))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))),X6)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(n0)))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d90,c1]) ).
cnf(d92,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(n0))),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d91,c1]) ).
cnf(d93,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))))))))),s(s(s(s(s(s(s(n0))))))),X5)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(n0))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d92,c1]) ).
cnf(d94,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),X3)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(n0))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))))),s(s(s(s(s(s(s(n0))))))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d93,c1]) ).
cnf(d95,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(X4))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),X6)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(n0))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))))),s(s(s(s(s(s(s(n0))))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d94,c1]) ).
cnf(d96,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))))))))),s(s(s(s(s(s(n0)))))),X5)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(n0))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d95,c1]) ).
cnf(d97,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))),s(s(s(s(s(s(s(s(s(s(n0)))))))))),X3)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(n0))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))))),s(s(s(s(s(s(n0)))))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d96,c1]) ).
cnf(d98,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4)))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(n0))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))))),s(s(s(s(s(s(n0)))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))),s(s(s(s(s(s(s(s(s(s(n0)))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d97,c1]) ).
cnf(d99,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))),s(s(s(s(s(s(s(s(s(n0))))))))),X3)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(n0))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))))),s(s(s(s(s(s(n0)))))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d98,c1]) ).
cnf(d100,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(n0))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))))),s(s(s(s(s(s(n0)))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))),s(s(s(s(s(s(s(s(s(n0))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d99,c1]) ).
cnf(d101,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),X6)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(n0))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))))),s(s(s(s(s(s(n0)))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))),s(s(s(s(s(s(s(s(s(n0))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d100,c1]) ).
cnf(d102,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(n0)),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))))))),s(s(s(s(s(s(n0)))))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))),s(s(s(s(s(s(s(s(s(n0))))))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d101,c1]) ).
cnf(d103,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))))))),s(s(s(s(s(n0))))),X5)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(n0)),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))),s(s(s(s(s(s(s(s(s(n0))))))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d102,c1]) ).
cnf(d104,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X3)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(n0)),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))),s(s(s(s(s(n0))))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d103,c1]) ).
cnf(d105,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),X6)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(n0)),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))),s(s(s(s(s(n0))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d104,c1]) ).
cnf(d106,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))))))),s(s(s(s(n0)))),X5)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(n0)),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d105,c1]) ).
cnf(d107,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))))),s(s(s(s(s(s(s(n0))))))),X3)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(n0)),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))),s(s(s(s(n0)))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d106,c1]) ).
cnf(d108,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4))))))))))))))))),s(s(s(s(s(s(s(s(s(s(n0)))))))))),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(n0)),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))),s(s(s(s(n0)))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))))),s(s(s(s(s(s(s(n0))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d107,c1]) ).
cnf(d109,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))))),s(s(s(s(s(s(n0)))))),X3)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(n0)),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))),s(s(s(s(n0)))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))),s(s(s(s(s(s(s(s(s(s(n0)))))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d108,c1]) ).
cnf(d110,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4)))))))))))))))))),s(s(s(s(s(s(s(s(s(n0))))))))),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(n0)),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))),s(s(s(s(n0)))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))))),s(s(s(s(s(s(n0)))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d109,c1]) ).
cnf(d111,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4)))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X6)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(n0)),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))),s(s(s(s(n0)))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))))),s(s(s(s(s(s(n0)))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d110,c1]) ).
cnf(d112,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(n0),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))))))))))),s(s(s(s(n0)))),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))),s(s(s(s(s(s(n0)))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d111,c1]) ).
cnf(d113,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))))))))))),s(s(s(n0))),X5)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(n0),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))))),s(s(s(s(s(s(n0)))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d112,c1]) ).
cnf(d114,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))))))))),s(s(s(s(s(n0))))),X3)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(n0),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))))))),s(s(s(n0))),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d113,c1]) ).
cnf(d115,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4))))))))))))))))))),s(s(s(s(s(s(s(n0))))))),X6)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(n0),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))))))),s(s(s(n0))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))))))))),s(s(s(s(s(n0))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d114,c1]) ).
cnf(d116,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))))))))))),s(s(n0)),X5)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(n0),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))),s(s(s(s(s(n0))))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))))))),s(s(s(s(s(s(s(n0))))))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d115,c1]) ).
cnf(d117,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))))))),s(s(s(s(n0)))),X3)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(n0),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))))))),s(s(n0)),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))))),s(s(s(s(s(s(s(n0))))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d116,c1]) ).
cnf(d118,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4)))))))))))))))))))),s(s(s(s(s(s(n0)))))),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(n0),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))))))),s(s(n0)),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))))))),s(s(s(s(n0)))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d117,c1]) ).
cnf(d119,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))))))),s(s(s(n0))),X3)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(n0),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))))))),s(s(n0)),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))))))))),s(s(s(s(s(s(n0)))))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d118,c1]) ).
cnf(d120,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4))))))))))))))))))))),s(s(s(s(s(n0))))),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(n0),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))))))),s(s(n0)),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))))))),s(s(s(n0))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d119,c1]) ).
cnf(d121,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4))))))))))))))))))))),s(s(s(s(n0)))),X6)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(n0),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))))))),s(s(n0)),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))))))),s(s(s(n0))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d120,c1]) ).
cnf(d122,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),n0,X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))))))))),s(s(n0)),X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))),s(s(s(n0))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))))))))),s(s(s(s(n0)))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d121,c1]) ).
cnf(d123,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))))))))),s(n0),X5)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),n0,X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5))))))))))))))))))))))),s(s(s(n0))),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))))))))),s(s(s(s(n0)))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d122,c1]) ).
cnf(d124,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6))))))))))))))))))))))),s(s(n0)),X3)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),n0,X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))))),s(n0),X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))))))),s(s(s(s(n0)))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d123,c1]) ).
cnf(d125,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4)))))))))))))))))))))),s(s(s(n0))),X6)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),n0,X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))))),s(n0),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))))))))))),s(s(n0)),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d124,c1]) ).
cnf(d126,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))))))))),n0,X5)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),n0,X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))))),s(s(n0)),X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))))))),s(s(s(n0))),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d125,c1]) ).
cnf(d127,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))))))))),s(n0),X3)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),n0,X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))))),n0,X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))))))))))),s(s(s(n0))),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d126,c1]) ).
cnf(d128,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4))))))))))))))))))))))),s(s(n0)),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),n0,X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))))),n0,X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))))))))),s(n0),X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d127,c1]) ).
cnf(d129,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X6)))))))))))))))))))))))),n0,X3)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),n0,X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))))),n0,X6)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))))))))),s(s(n0)),X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d128,c1]) ).
cnf(d130,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4)))))))))))))))))))))))),s(n0),X6)
| ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),n0,X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))))),n0,X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))))))))),n0,X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d129,c1]) ).
cnf(d131,plain,
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))))),n0,X6)
| ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),n0,X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4)))))))))))))))))))))))),n0,X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))))))))),n0,X4)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d130,c1]) ).
cnf(d132,plain,
( ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))))))))))))))))))))))))))),n0,X5)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X5)))))))))))))))))))))))),n0,X3)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))))))))),n0,X4)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d131,c0]) ).
cnf(d133,plain,
( ~ factorial(n0,X0)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))))))))),n0,X4)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),n0,X3)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d132,c0]) ).
cnf(d134,plain,
( ~ factorial(n0,X2)
| ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),n0,X3)
| ~ sum(X2,X2,X1)
| ~ sum(X1,X1,X0)
| ~ sum(X0,X1,s(s(s(s(s(s(n0))))))) ),
inference(resolution,[status(thm)],[d133,c0]) ).
cnf(d135,plain,
( ~ factorial(n0,X0)
| ~ sum(X2,X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,X1,X2)
| ~ sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[d134,c0]) ).
cnf(d136,plain,
( ~ sum(X1,X0,s(s(s(s(s(n0))))))
| ~ factorial(n0,X2)
| ~ sum(X2,X2,s(X0))
| ~ sum(s(X0),s(X0),X1) ),
inference(resolution,[status(thm)],[d135,c1]) ).
cnf(d137,plain,
( ~ sum(X2,X1,s(s(s(s(n0)))))
| ~ factorial(n0,X0)
| ~ sum(s(s(X1)),s(s(X1)),X2)
| ~ sum(X0,X0,s(s(X1))) ),
inference(resolution,[status(thm)],[d136,c1]) ).
cnf(d138,plain,
( ~ sum(s(s(X1)),s(X1),X0)
| ~ factorial(n0,X2)
| ~ sum(X2,X2,s(s(X1)))
| ~ sum(s(X0),X1,s(s(s(s(n0))))) ),
inference(resolution,[status(thm)],[d137,c1]) ).
cnf(d139,plain,
( ~ factorial(n0,X0)
| ~ sum(s(s(n0)),s(n0),s(s(s(n0))))
| ~ sum(X0,X0,s(s(n0))) ),
inference(resolution,[status(thm)],[d138,c0]) ).
cnf(d140,plain,
( ~ sum(s(s(n0)),n0,s(s(n0)))
| ~ factorial(n0,X0)
| ~ sum(X0,X0,s(s(n0))) ),
inference(resolution,[status(thm)],[d139,c1]) ).
cnf(d141,plain,
( ~ factorial(n0,X0)
| ~ sum(X0,X0,s(s(n0))) ),
inference(resolution,[status(thm)],[c0,d140]) ).
cnf(d142,plain,
( ~ sum(s(X0),X0,s(n0))
| ~ factorial(n0,s(X0)) ),
inference(resolution,[status(thm)],[d141,c1]) ).
cnf(d143,plain,
~ factorial(n0,s(n0)),
inference(resolution,[status(thm)],[d142,c0]) ).
cnf(d144,plain,
$false,
inference(resolution,[status(thm)],[c4,d143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM283-1.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 02:25:54 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.21/5.35 % SZS status Unsatisfiable for theBenchmark.p
% 26.21/5.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------