TSTP Solution File: NUM283-1.005 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM283-1.005 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 12:25:37 EDT 2022
% Result : Unsatisfiable 1.38s 1.56s
% Output : CNFRefutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 7
% Syntax : Number of clauses : 134 ( 78 unt; 0 nHn; 79 RR)
% Number of literals : 201 ( 0 equ; 69 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 121 ( 20 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 : 108 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(add_0,axiom,
sum(X,n0,X) ).
cnf(add,axiom,
( ~ sum(X,Y,Z)
| sum(X,s(Y),s(Z)) ) ).
cnf(times1,axiom,
product(s(n0),X,X) ).
cnf(times,axiom,
( ~ sum(R,Y,Z)
| ~ product(X,Y,R)
| product(s(X),Y,Z) ) ).
cnf(factorial_0,axiom,
factorial(n0,s(n0)) ).
cnf(factorial,axiom,
( ~ factorial(X,Z)
| ~ product(s(X),Z,Y)
| factorial(s(X),Y) ) ).
cnf(prove_factorial,negated_conjecture,
~ factorial(s(s(s(s(s(n0))))),Result) ).
cnf(refute_0_0,plain,
( ~ factorial(s(s(s(s(n0)))),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)))))))))))))))))))))))))
| ~ product(s(s(s(s(s(n0))))),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(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(s(s(s(s(s(s(n0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| factorial(s(s(s(s(s(n0))))),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(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ),
inference(subst,[],[factorial:[bind(X,$fot(s(s(s(s(n0)))))),bind(Y,$fot(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(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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))))]]) ).
cnf(refute_0_1,plain,
( ~ sum(X_28,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_28))))))))))))))))))))))))
| sum(X_28,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_28))))))))))))))))))))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_28)),bind(Y,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_28)))))))))))))))))))))))))]]) ).
cnf(refute_0_2,plain,
( ~ sum(X_27,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(s(s(s(s(X_27)))))))))))))))))))))))
| sum(X_27,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(s(s(s(s(s(X_27)))))))))))))))))))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_27)),bind(Y,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_27))))))))))))))))))))))))]]) ).
cnf(refute_0_3,plain,
( ~ sum(X_26,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_26))))))))))))))))))))))
| sum(X_26,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_26))))))))))))))))))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_26)),bind(Y,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_26)))))))))))))))))))))))]]) ).
cnf(refute_0_4,plain,
( ~ sum(X_25,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(s(s(X_25)))))))))))))))))))))
| sum(X_25,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(s(s(s(X_25)))))))))))))))))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_25)),bind(Y,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_25))))))))))))))))))))))]]) ).
cnf(refute_0_5,plain,
( ~ sum(X_24,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_24))))))))))))))))))))
| sum(X_24,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_24))))))))))))))))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_24)),bind(Y,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_24)))))))))))))))))))))]]) ).
cnf(refute_0_6,plain,
( ~ sum(X_23,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(X_23)))))))))))))))))))
| sum(X_23,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(s(X_23)))))))))))))))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_23)),bind(Y,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_23))))))))))))))))))))]]) ).
cnf(refute_0_7,plain,
( ~ sum(X_22,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_22))))))))))))))))))
| sum(X_22,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_22))))))))))))))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_22)),bind(Y,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_22)))))))))))))))))))]]) ).
cnf(refute_0_8,plain,
( ~ sum(X_21,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(X_21)))))))))))))))))
| sum(X_21,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(X_21)))))))))))))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_21)),bind(Y,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_21))))))))))))))))))]]) ).
cnf(refute_0_9,plain,
( ~ sum(X_20,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_20))))))))))))))))
| sum(X_20,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_20))))))))))))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_20)),bind(Y,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_20)))))))))))))))))]]) ).
cnf(refute_0_10,plain,
( ~ sum(X_19,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(X_19)))))))))))))))
| sum(X_19,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(X_19)))))))))))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_19)),bind(Y,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_19))))))))))))))))]]) ).
cnf(refute_0_11,plain,
( ~ sum(X_18,s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(X_18))))))))))))))
| sum(X_18,s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_18))))))))))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_18)),bind(Y,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(X_18)))))))))))))))]]) ).
cnf(refute_0_12,plain,
( ~ sum(X_17,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(X_17)))))))))))))
| sum(X_17,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(X_17)))))))))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_17)),bind(Y,$fot(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(s(s(s(s(X_17))))))))))))))]]) ).
cnf(refute_0_13,plain,
( ~ sum(X_16,s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),s(s(s(s(s(s(s(s(s(s(s(X_16))))))))))))
| sum(X_16,s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(X_16))))))))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_16)),bind(Y,$fot(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(s(s(s(X_16)))))))))))))]]) ).
cnf(refute_0_14,plain,
( ~ sum(X_15,s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(s(s(X_15)))))))))))
| sum(X_15,s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),s(s(s(s(s(s(s(s(s(s(s(X_15)))))))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_15)),bind(Y,$fot(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(s(s(X_15))))))))))))]]) ).
cnf(refute_0_15,plain,
( ~ sum(X_14,s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(s(X_14))))))))))
| sum(X_14,s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(s(s(X_14))))))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_14)),bind(Y,$fot(s(s(s(s(s(s(s(s(s(n0))))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(s(X_14)))))))))))]]) ).
cnf(refute_0_16,plain,
( ~ sum(X_13,s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(X_13)))))))))
| sum(X_13,s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(s(X_13)))))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_13)),bind(Y,$fot(s(s(s(s(s(s(s(s(n0)))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(X_13))))))))))]]) ).
cnf(refute_0_17,plain,
( ~ sum(X_12,s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(s(X_12))))))))
| sum(X_12,s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(X_12))))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_12)),bind(Y,$fot(s(s(s(s(s(s(s(n0))))))))),bind(Z,$fot(s(s(s(s(s(s(s(X_12)))))))))]]) ).
cnf(refute_0_18,plain,
( ~ sum(X_11,s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(X_11)))))))
| sum(X_11,s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(s(X_11)))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_11)),bind(Y,$fot(s(s(s(s(s(s(n0)))))))),bind(Z,$fot(s(s(s(s(s(s(X_11))))))))]]) ).
cnf(refute_0_19,plain,
( ~ sum(X_10,s(s(s(s(s(n0))))),s(s(s(s(s(X_10))))))
| sum(X_10,s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(X_10))))))) ),
inference(subst,[],[add:[bind(X,$fot(X_10)),bind(Y,$fot(s(s(s(s(s(n0))))))),bind(Z,$fot(s(s(s(s(s(X_10)))))))]]) ).
cnf(refute_0_20,plain,
( ~ sum(X_9,s(s(s(s(n0)))),s(s(s(s(X_9)))))
| sum(X_9,s(s(s(s(s(n0))))),s(s(s(s(s(X_9)))))) ),
inference(subst,[],[add:[bind(X,$fot(X_9)),bind(Y,$fot(s(s(s(s(n0)))))),bind(Z,$fot(s(s(s(s(X_9))))))]]) ).
cnf(refute_0_21,plain,
( ~ sum(X_8,s(s(s(n0))),s(s(s(X_8))))
| sum(X_8,s(s(s(s(n0)))),s(s(s(s(X_8))))) ),
inference(subst,[],[add:[bind(X,$fot(X_8)),bind(Y,$fot(s(s(s(n0))))),bind(Z,$fot(s(s(s(X_8)))))]]) ).
cnf(refute_0_22,plain,
( ~ sum(X_7,s(s(n0)),s(s(X_7)))
| sum(X_7,s(s(s(n0))),s(s(s(X_7)))) ),
inference(subst,[],[add:[bind(X,$fot(X_7)),bind(Y,$fot(s(s(n0)))),bind(Z,$fot(s(s(X_7))))]]) ).
cnf(refute_0_23,plain,
( ~ sum(X_6,s(n0),s(X_6))
| sum(X_6,s(s(n0)),s(s(X_6))) ),
inference(subst,[],[add:[bind(X,$fot(X_6)),bind(Y,$fot(s(n0))),bind(Z,$fot(s(X_6)))]]) ).
cnf(refute_0_24,plain,
sum(X_5,n0,X_5),
inference(subst,[],[add_0:[bind(X,$fot(X_5))]]) ).
cnf(refute_0_25,plain,
( ~ sum(X_5,n0,X_5)
| sum(X_5,s(n0),s(X_5)) ),
inference(subst,[],[add:[bind(X,$fot(X_5)),bind(Y,$fot(n0)),bind(Z,$fot(X_5))]]) ).
cnf(refute_0_26,plain,
sum(X_5,s(n0),s(X_5)),
inference(resolve,[$cnf( sum(X_5,n0,X_5) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
sum(X_6,s(n0),s(X_6)),
inference(subst,[],[refute_0_26:[bind(X_5,$fot(X_6))]]) ).
cnf(refute_0_28,plain,
sum(X_6,s(s(n0)),s(s(X_6))),
inference(resolve,[$cnf( sum(X_6,s(n0),s(X_6)) )],[refute_0_27,refute_0_23]) ).
cnf(refute_0_29,plain,
sum(X_7,s(s(n0)),s(s(X_7))),
inference(subst,[],[refute_0_28:[bind(X_6,$fot(X_7))]]) ).
cnf(refute_0_30,plain,
sum(X_7,s(s(s(n0))),s(s(s(X_7)))),
inference(resolve,[$cnf( sum(X_7,s(s(n0)),s(s(X_7))) )],[refute_0_29,refute_0_22]) ).
cnf(refute_0_31,plain,
sum(X_8,s(s(s(n0))),s(s(s(X_8)))),
inference(subst,[],[refute_0_30:[bind(X_7,$fot(X_8))]]) ).
cnf(refute_0_32,plain,
sum(X_8,s(s(s(s(n0)))),s(s(s(s(X_8))))),
inference(resolve,[$cnf( sum(X_8,s(s(s(n0))),s(s(s(X_8)))) )],[refute_0_31,refute_0_21]) ).
cnf(refute_0_33,plain,
sum(X_9,s(s(s(s(n0)))),s(s(s(s(X_9))))),
inference(subst,[],[refute_0_32:[bind(X_8,$fot(X_9))]]) ).
cnf(refute_0_34,plain,
sum(X_9,s(s(s(s(s(n0))))),s(s(s(s(s(X_9)))))),
inference(resolve,[$cnf( sum(X_9,s(s(s(s(n0)))),s(s(s(s(X_9))))) )],[refute_0_33,refute_0_20]) ).
cnf(refute_0_35,plain,
sum(X_10,s(s(s(s(s(n0))))),s(s(s(s(s(X_10)))))),
inference(subst,[],[refute_0_34:[bind(X_9,$fot(X_10))]]) ).
cnf(refute_0_36,plain,
sum(X_10,s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(X_10))))))),
inference(resolve,[$cnf( sum(X_10,s(s(s(s(s(n0))))),s(s(s(s(s(X_10)))))) )],[refute_0_35,refute_0_19]) ).
cnf(refute_0_37,plain,
sum(X_11,s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(X_11))))))),
inference(subst,[],[refute_0_36:[bind(X_10,$fot(X_11))]]) ).
cnf(refute_0_38,plain,
sum(X_11,s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(s(X_11)))))))),
inference(resolve,[$cnf( sum(X_11,s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(X_11))))))) )],[refute_0_37,refute_0_18]) ).
cnf(refute_0_39,plain,
sum(X_12,s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(s(X_12)))))))),
inference(subst,[],[refute_0_38:[bind(X_11,$fot(X_12))]]) ).
cnf(refute_0_40,plain,
sum(X_12,s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(X_12))))))))),
inference(resolve,[$cnf( sum(X_12,s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(s(X_12)))))))) )],[refute_0_39,refute_0_17]) ).
cnf(refute_0_41,plain,
sum(X_13,s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(X_13))))))))),
inference(subst,[],[refute_0_40:[bind(X_12,$fot(X_13))]]) ).
cnf(refute_0_42,plain,
sum(X_13,s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(s(X_13)))))))))),
inference(resolve,[$cnf( sum(X_13,s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(X_13))))))))) )],[refute_0_41,refute_0_16]) ).
cnf(refute_0_43,plain,
sum(X_14,s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(s(X_14)))))))))),
inference(subst,[],[refute_0_42:[bind(X_13,$fot(X_14))]]) ).
cnf(refute_0_44,plain,
sum(X_14,s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(s(s(X_14))))))))))),
inference(resolve,[$cnf( sum(X_14,s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(s(X_14)))))))))) )],[refute_0_43,refute_0_15]) ).
cnf(refute_0_45,plain,
sum(X_15,s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(s(s(X_15))))))))))),
inference(subst,[],[refute_0_44:[bind(X_14,$fot(X_15))]]) ).
cnf(refute_0_46,plain,
sum(X_15,s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),s(s(s(s(s(s(s(s(s(s(s(X_15)))))))))))),
inference(resolve,[$cnf( sum(X_15,s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(s(s(X_15))))))))))) )],[refute_0_45,refute_0_14]) ).
cnf(refute_0_47,plain,
sum(X_16,s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),s(s(s(s(s(s(s(s(s(s(s(X_16)))))))))))),
inference(subst,[],[refute_0_46:[bind(X_15,$fot(X_16))]]) ).
cnf(refute_0_48,plain,
sum(X_16,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(X_16))))))))))))),
inference(resolve,[$cnf( sum(X_16,s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),s(s(s(s(s(s(s(s(s(s(s(X_16)))))))))))) )],[refute_0_47,refute_0_13]) ).
cnf(refute_0_49,plain,
sum(X_17,s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(X_17))))))))))))),
inference(subst,[],[refute_0_48:[bind(X_16,$fot(X_17))]]) ).
cnf(refute_0_50,plain,
sum(X_17,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(X_17)))))))))))))),
inference(resolve,[$cnf( sum(X_17,s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(X_17))))))))))))) )],[refute_0_49,refute_0_12]) ).
cnf(refute_0_51,plain,
sum(X_18,s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(X_18)))))))))))))),
inference(subst,[],[refute_0_50:[bind(X_17,$fot(X_18))]]) ).
cnf(refute_0_52,plain,
sum(X_18,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(X_18))))))))))))))),
inference(resolve,[$cnf( sum(X_18,s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(X_18)))))))))))))) )],[refute_0_51,refute_0_11]) ).
cnf(refute_0_53,plain,
sum(X_19,s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_19))))))))))))))),
inference(subst,[],[refute_0_52:[bind(X_18,$fot(X_19))]]) ).
cnf(refute_0_54,plain,
sum(X_19,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(X_19)))))))))))))))),
inference(resolve,[$cnf( sum(X_19,s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_19))))))))))))))) )],[refute_0_53,refute_0_10]) ).
cnf(refute_0_55,plain,
sum(X_20,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_20)))))))))))))))),
inference(subst,[],[refute_0_54:[bind(X_19,$fot(X_20))]]) ).
cnf(refute_0_56,plain,
sum(X_20,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(X_20))))))))))))))))),
inference(resolve,[$cnf( sum(X_20,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_20)))))))))))))))) )],[refute_0_55,refute_0_9]) ).
cnf(refute_0_57,plain,
sum(X_21,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_21))))))))))))))))),
inference(subst,[],[refute_0_56:[bind(X_20,$fot(X_21))]]) ).
cnf(refute_0_58,plain,
sum(X_21,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(X_21)))))))))))))))))),
inference(resolve,[$cnf( sum(X_21,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_21))))))))))))))))) )],[refute_0_57,refute_0_8]) ).
cnf(refute_0_59,plain,
sum(X_22,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_22)))))))))))))))))),
inference(subst,[],[refute_0_58:[bind(X_21,$fot(X_22))]]) ).
cnf(refute_0_60,plain,
sum(X_22,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(X_22))))))))))))))))))),
inference(resolve,[$cnf( sum(X_22,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_22)))))))))))))))))) )],[refute_0_59,refute_0_7]) ).
cnf(refute_0_61,plain,
sum(X_23,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_23))))))))))))))))))),
inference(subst,[],[refute_0_60:[bind(X_22,$fot(X_23))]]) ).
cnf(refute_0_62,plain,
sum(X_23,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(s(X_23)))))))))))))))))))),
inference(resolve,[$cnf( sum(X_23,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_23))))))))))))))))))) )],[refute_0_61,refute_0_6]) ).
cnf(refute_0_63,plain,
sum(X_24,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_24)))))))))))))))))))),
inference(subst,[],[refute_0_62:[bind(X_23,$fot(X_24))]]) ).
cnf(refute_0_64,plain,
sum(X_24,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(s(s(X_24))))))))))))))))))))),
inference(resolve,[$cnf( sum(X_24,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_24)))))))))))))))))))) )],[refute_0_63,refute_0_5]) ).
cnf(refute_0_65,plain,
sum(X_25,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_25))))))))))))))))))))),
inference(subst,[],[refute_0_64:[bind(X_24,$fot(X_25))]]) ).
cnf(refute_0_66,plain,
sum(X_25,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(s(s(s(X_25)))))))))))))))))))))),
inference(resolve,[$cnf( sum(X_25,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_25))))))))))))))))))))) )],[refute_0_65,refute_0_4]) ).
cnf(refute_0_67,plain,
sum(X_26,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_26)))))))))))))))))))))),
inference(subst,[],[refute_0_66:[bind(X_25,$fot(X_26))]]) ).
cnf(refute_0_68,plain,
sum(X_26,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(s(s(s(s(X_26))))))))))))))))))))))),
inference(resolve,[$cnf( sum(X_26,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_26)))))))))))))))))))))) )],[refute_0_67,refute_0_3]) ).
cnf(refute_0_69,plain,
sum(X_27,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_27))))))))))))))))))))))),
inference(subst,[],[refute_0_68:[bind(X_26,$fot(X_27))]]) ).
cnf(refute_0_70,plain,
sum(X_27,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(s(s(s(s(s(X_27)))))))))))))))))))))))),
inference(resolve,[$cnf( sum(X_27,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_27))))))))))))))))))))))) )],[refute_0_69,refute_0_2]) ).
cnf(refute_0_71,plain,
sum(X_28,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_28)))))))))))))))))))))))),
inference(subst,[],[refute_0_70:[bind(X_27,$fot(X_28))]]) ).
cnf(refute_0_72,plain,
sum(X_28,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(s(s(s(s(s(s(X_28))))))))))))))))))))))))),
inference(resolve,[$cnf( sum(X_28,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_28)))))))))))))))))))))))) )],[refute_0_71,refute_0_1]) ).
cnf(refute_0_73,plain,
sum(X_67,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_67))))))))))))))))))))))))),
inference(subst,[],[refute_0_72:[bind(X_28,$fot(X_67))]]) ).
cnf(refute_0_74,plain,
( ~ product(X_68,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)))))))))))))))))))))))),X_67)
| ~ sum(X_67,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(s(s(s(s(s(s(X_67)))))))))))))))))))))))))
| product(s(X_68),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(s(s(s(s(s(s(X_67))))))))))))))))))))))))) ),
inference(subst,[],[times:[bind(R,$fot(X_67)),bind(X,$fot(X_68)),bind(Y,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))))),bind(Z,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_67))))))))))))))))))))))))))]]) ).
cnf(refute_0_75,plain,
( ~ product(X_68,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)))))))))))))))))))))))),X_67)
| product(s(X_68),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(s(s(s(s(s(s(X_67))))))))))))))))))))))))) ),
inference(resolve,[$cnf( sum(X_67,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_67))))))))))))))))))))))))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( ~ product(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| product(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ),
inference(subst,[],[refute_0_75:[bind(X_67,$fot(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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),bind(X_68,$fot(s(s(s(s(n0))))))]]) ).
cnf(refute_0_77,plain,
( ~ product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| product(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ),
inference(subst,[],[refute_0_75:[bind(X_67,$fot(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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),bind(X_68,$fot(s(s(s(n0)))))]]) ).
cnf(refute_0_78,plain,
sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))))))))))))))))))))))))))),
inference(subst,[],[refute_0_72:[bind(X_28,$fot(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))))))))))))))))))))))))))]]) ).
cnf(refute_0_79,plain,
product(s(n0),X_67,X_67),
inference(subst,[],[times1:[bind(X,$fot(X_67))]]) ).
cnf(refute_0_80,plain,
( ~ product(s(n0),X_67,X_67)
| ~ sum(X_67,X_67,X_70)
| product(s(s(n0)),X_67,X_70) ),
inference(subst,[],[times:[bind(R,$fot(X_67)),bind(X,$fot(s(n0))),bind(Y,$fot(X_67)),bind(Z,$fot(X_70))]]) ).
cnf(refute_0_81,plain,
( ~ sum(X_67,X_67,X_70)
| product(s(s(n0)),X_67,X_70) ),
inference(resolve,[$cnf( product(s(n0),X_67,X_67) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,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(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(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)))))))))))))))))))))))))))))))))))))))))))))))))
| product(s(s(n0)),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(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))))))))))))))))))))))))))))))))))))))))))))))))) ),
inference(subst,[],[refute_0_81:[bind(X_67,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))))),bind(X_70,$fot(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))))))))))))))))))))))))))))))))))))))))))))))))))]]) ).
cnf(refute_0_83,plain,
product(s(s(n0)),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(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))))))))))))))))))))))))))))))))))))))))))))))))),
inference(resolve,[$cnf( sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))))))))))))))))))))))))))) )],[refute_0_78,refute_0_82]) ).
cnf(refute_0_84,plain,
( ~ product(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))))))))))))))))))))))))))))
| product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ),
inference(subst,[],[refute_0_75:[bind(X_67,$fot(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)))))))))))))))))))))))))))))))))))))))))))))))))),bind(X_68,$fot(s(s(n0))))]]) ).
cnf(refute_0_85,plain,
product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
inference(resolve,[$cnf( product(s(s(n0)),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(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))))))))))))))))))))))))))))))))))))))))))))))))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
product(s(s(s(s(n0)))),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(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
inference(resolve,[$cnf( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) )],[refute_0_85,refute_0_77]) ).
cnf(refute_0_87,plain,
product(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
inference(resolve,[$cnf( product(s(s(s(s(n0)))),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(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) )],[refute_0_86,refute_0_76]) ).
cnf(refute_0_88,plain,
( ~ factorial(s(s(s(s(n0)))),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)))))))))))))))))))))))))
| factorial(s(s(s(s(s(n0))))),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(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ),
inference(resolve,[$cnf( product(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) )],[refute_0_87,refute_0_0]) ).
cnf(refute_0_89,plain,
( ~ factorial(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| ~ product(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))))
| factorial(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))) ),
inference(subst,[],[factorial:[bind(X,$fot(s(s(s(n0))))),bind(Y,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))))),bind(Z,$fot(s(s(s(s(s(s(n0))))))))]]) ).
cnf(refute_0_90,plain,
sum(X_67,s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(X_67))))))),
inference(subst,[],[refute_0_36:[bind(X_10,$fot(X_67))]]) ).
cnf(refute_0_91,plain,
( ~ product(X_68,s(s(s(s(s(s(n0)))))),X_67)
| ~ sum(X_67,s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(X_67)))))))
| product(s(X_68),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(X_67))))))) ),
inference(subst,[],[times:[bind(R,$fot(X_67)),bind(X,$fot(X_68)),bind(Y,$fot(s(s(s(s(s(s(n0)))))))),bind(Z,$fot(s(s(s(s(s(s(X_67))))))))]]) ).
cnf(refute_0_92,plain,
( ~ product(X_68,s(s(s(s(s(s(n0)))))),X_67)
| product(s(X_68),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(X_67))))))) ),
inference(resolve,[$cnf( sum(X_67,s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(X_67))))))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
( ~ product(s(s(s(n0))),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)))))))))))))))))))
| product(s(s(s(s(n0)))),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(s(s(s(s(s(s(n0))))))))))))))))))))))))) ),
inference(subst,[],[refute_0_92:[bind(X_67,$fot(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))),bind(X_68,$fot(s(s(s(n0)))))]]) ).
cnf(refute_0_94,plain,
sum(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),
inference(subst,[],[refute_0_36:[bind(X_10,$fot(s(s(s(s(s(s(n0))))))))]]) ).
cnf(refute_0_95,plain,
( ~ sum(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))
| product(s(s(n0)),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))) ),
inference(subst,[],[refute_0_81:[bind(X_67,$fot(s(s(s(s(s(s(n0)))))))),bind(X_70,$fot(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))]]) ).
cnf(refute_0_96,plain,
product(s(s(n0)),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),
inference(resolve,[$cnf( sum(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
( ~ product(s(s(n0)),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))
| product(s(s(s(n0))),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))))))))))))))))))) ),
inference(subst,[],[refute_0_92:[bind(X_67,$fot(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),bind(X_68,$fot(s(s(n0))))]]) ).
cnf(refute_0_98,plain,
product(s(s(s(n0))),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))))))))))))))))))),
inference(resolve,[$cnf( product(s(s(n0)),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
product(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))),
inference(resolve,[$cnf( product(s(s(s(n0))),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))))))))))))))))))) )],[refute_0_98,refute_0_93]) ).
cnf(refute_0_100,plain,
( ~ factorial(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| factorial(s(s(s(s(n0)))),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))))))))))))))))))))))))) ),
inference(resolve,[$cnf( product(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))) )],[refute_0_99,refute_0_89]) ).
cnf(refute_0_101,plain,
( ~ factorial(s(s(n0)),s(s(n0)))
| ~ product(s(s(s(n0))),s(s(n0)),s(s(s(s(s(s(n0)))))))
| factorial(s(s(s(n0))),s(s(s(s(s(s(n0))))))) ),
inference(subst,[],[factorial:[bind(X,$fot(s(s(n0)))),bind(Y,$fot(s(s(s(s(s(s(n0)))))))),bind(Z,$fot(s(s(n0))))]]) ).
cnf(refute_0_102,plain,
sum(s(s(n0)),s(s(n0)),s(s(s(s(n0))))),
inference(subst,[],[refute_0_28:[bind(X_6,$fot(s(s(n0))))]]) ).
cnf(refute_0_103,plain,
( ~ sum(s(s(n0)),s(s(n0)),s(s(s(s(n0)))))
| product(s(s(n0)),s(s(n0)),s(s(s(s(n0))))) ),
inference(subst,[],[refute_0_81:[bind(X_67,$fot(s(s(n0)))),bind(X_70,$fot(s(s(s(s(n0))))))]]) ).
cnf(refute_0_104,plain,
product(s(s(n0)),s(s(n0)),s(s(s(s(n0))))),
inference(resolve,[$cnf( sum(s(s(n0)),s(s(n0)),s(s(s(s(n0))))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
sum(X_67,s(s(n0)),s(s(X_67))),
inference(subst,[],[refute_0_28:[bind(X_6,$fot(X_67))]]) ).
cnf(refute_0_106,plain,
( ~ product(X_68,s(s(n0)),X_67)
| ~ sum(X_67,s(s(n0)),s(s(X_67)))
| product(s(X_68),s(s(n0)),s(s(X_67))) ),
inference(subst,[],[times:[bind(R,$fot(X_67)),bind(X,$fot(X_68)),bind(Y,$fot(s(s(n0)))),bind(Z,$fot(s(s(X_67))))]]) ).
cnf(refute_0_107,plain,
( ~ product(X_68,s(s(n0)),X_67)
| product(s(X_68),s(s(n0)),s(s(X_67))) ),
inference(resolve,[$cnf( sum(X_67,s(s(n0)),s(s(X_67))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
( ~ product(s(s(n0)),s(s(n0)),s(s(s(s(n0)))))
| product(s(s(s(n0))),s(s(n0)),s(s(s(s(s(s(n0))))))) ),
inference(subst,[],[refute_0_107:[bind(X_67,$fot(s(s(s(s(n0)))))),bind(X_68,$fot(s(s(n0))))]]) ).
cnf(refute_0_109,plain,
product(s(s(s(n0))),s(s(n0)),s(s(s(s(s(s(n0))))))),
inference(resolve,[$cnf( product(s(s(n0)),s(s(n0)),s(s(s(s(n0))))) )],[refute_0_104,refute_0_108]) ).
cnf(refute_0_110,plain,
( ~ factorial(s(s(n0)),s(s(n0)))
| factorial(s(s(s(n0))),s(s(s(s(s(s(n0))))))) ),
inference(resolve,[$cnf( product(s(s(s(n0))),s(s(n0)),s(s(s(s(s(s(n0))))))) )],[refute_0_109,refute_0_101]) ).
cnf(refute_0_111,plain,
( ~ factorial(s(n0),s(n0))
| ~ product(s(s(n0)),s(n0),s(s(n0)))
| factorial(s(s(n0)),s(s(n0))) ),
inference(subst,[],[factorial:[bind(X,$fot(s(n0))),bind(Y,$fot(s(s(n0)))),bind(Z,$fot(s(n0)))]]) ).
cnf(refute_0_112,plain,
sum(s(n0),s(n0),s(s(n0))),
inference(subst,[],[refute_0_26:[bind(X_5,$fot(s(n0)))]]) ).
cnf(refute_0_113,plain,
( ~ sum(s(n0),s(n0),s(s(n0)))
| product(s(s(n0)),s(n0),s(s(n0))) ),
inference(subst,[],[refute_0_81:[bind(X_67,$fot(s(n0))),bind(X_70,$fot(s(s(n0))))]]) ).
cnf(refute_0_114,plain,
product(s(s(n0)),s(n0),s(s(n0))),
inference(resolve,[$cnf( sum(s(n0),s(n0),s(s(n0))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
( ~ factorial(s(n0),s(n0))
| factorial(s(s(n0)),s(s(n0))) ),
inference(resolve,[$cnf( product(s(s(n0)),s(n0),s(s(n0))) )],[refute_0_114,refute_0_111]) ).
cnf(refute_0_116,plain,
product(s(n0),X_49,X_49),
inference(subst,[],[times1:[bind(X,$fot(X_49))]]) ).
cnf(refute_0_117,plain,
( ~ factorial(n0,X_49)
| ~ product(s(n0),X_49,X_49)
| factorial(s(n0),X_49) ),
inference(subst,[],[factorial:[bind(X,$fot(n0)),bind(Y,$fot(X_49)),bind(Z,$fot(X_49))]]) ).
cnf(refute_0_118,plain,
( ~ factorial(n0,X_49)
| factorial(s(n0),X_49) ),
inference(resolve,[$cnf( product(s(n0),X_49,X_49) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
( ~ factorial(n0,s(n0))
| factorial(s(n0),s(n0)) ),
inference(subst,[],[refute_0_118:[bind(X_49,$fot(s(n0)))]]) ).
cnf(refute_0_120,plain,
factorial(s(n0),s(n0)),
inference(resolve,[$cnf( factorial(n0,s(n0)) )],[factorial_0,refute_0_119]) ).
cnf(refute_0_121,plain,
factorial(s(s(n0)),s(s(n0))),
inference(resolve,[$cnf( factorial(s(n0),s(n0)) )],[refute_0_120,refute_0_115]) ).
cnf(refute_0_122,plain,
factorial(s(s(s(n0))),s(s(s(s(s(s(n0))))))),
inference(resolve,[$cnf( factorial(s(s(n0)),s(s(n0))) )],[refute_0_121,refute_0_110]) ).
cnf(refute_0_123,plain,
factorial(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))),
inference(resolve,[$cnf( factorial(s(s(s(n0))),s(s(s(s(s(s(n0))))))) )],[refute_0_122,refute_0_100]) ).
cnf(refute_0_124,plain,
factorial(s(s(s(s(s(n0))))),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(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
inference(resolve,[$cnf( factorial(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))) )],[refute_0_123,refute_0_88]) ).
cnf(refute_0_125,plain,
~ factorial(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
inference(subst,[],[prove_factorial:[bind(Result,$fot(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(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))]]) ).
cnf(refute_0_126,plain,
$false,
inference(resolve,[$cnf( factorial(s(s(s(s(s(n0))))),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(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) )],[refute_0_124,refute_0_125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM283-1.005 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jul 7 01:04:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.38/1.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.56
% 1.38/1.56 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.52/1.73
%------------------------------------------------------------------------------