TSTP Solution File: NUM283-1.005 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : NUM283-1.005 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:46:09 EDT 2023

% Result   : Unsatisfiable 19.92s 3.06s
% Output   : CNFRefutation 19.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  109
%            Number of leaves      :    7
% Syntax   : Number of clauses     :  141 (  15 unt;   0 nHn; 137 RR)
%            Number of literals    :  323 (   0 equ; 187 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :  121 (  23 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   :  245 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(times,axiom,
    ( product(s(X4),X2,X3)
    | ~ sum(X1,X2,X3)
    | ~ product(X4,X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.3z84OUANGB/E---3.1_28440.p',times) ).

cnf(times1,axiom,
    product(s(n0),X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.3z84OUANGB/E---3.1_28440.p',times1) ).

cnf(add,axiom,
    ( sum(X1,s(X2),s(X3))
    | ~ sum(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.3z84OUANGB/E---3.1_28440.p',add) ).

cnf(add_0,axiom,
    sum(X1,n0,X1),
    file('/export/starexec/sandbox/tmp/tmp.3z84OUANGB/E---3.1_28440.p',add_0) ).

cnf(factorial,axiom,
    ( factorial(s(X1),X3)
    | ~ factorial(X1,X2)
    | ~ product(s(X1),X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.3z84OUANGB/E---3.1_28440.p',factorial) ).

cnf(prove_factorial,negated_conjecture,
    ~ factorial(s(s(s(s(s(n0))))),X1),
    file('/export/starexec/sandbox/tmp/tmp.3z84OUANGB/E---3.1_28440.p',prove_factorial) ).

cnf(factorial_0,axiom,
    factorial(n0,s(n0)),
    file('/export/starexec/sandbox/tmp/tmp.3z84OUANGB/E---3.1_28440.p',factorial_0) ).

cnf(c_0_7,axiom,
    ( product(s(X4),X2,X3)
    | ~ sum(X1,X2,X3)
    | ~ product(X4,X2,X1) ),
    times ).

cnf(c_0_8,axiom,
    product(s(n0),X1,X1),
    times1 ).

cnf(c_0_9,plain,
    ( product(s(s(n0)),X1,X2)
    | ~ sum(X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,axiom,
    ( sum(X1,s(X2),s(X3))
    | ~ sum(X1,X2,X3) ),
    add ).

cnf(c_0_11,plain,
    ( product(s(s(n0)),s(X1),s(X2))
    | ~ sum(s(X1),X1,X2) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,plain,
    ( product(s(s(n0)),s(s(X1)),s(s(X2)))
    | ~ sum(s(s(X1)),X1,X2) ),
    inference(spm,[status(thm)],[c_0_11,c_0_10]) ).

cnf(c_0_13,plain,
    ( product(s(s(s(n0))),s(s(X1)),X2)
    | ~ sum(s(s(X3)),s(s(X1)),X2)
    | ~ sum(s(s(X1)),X1,X3) ),
    inference(spm,[status(thm)],[c_0_7,c_0_12]) ).

cnf(c_0_14,plain,
    ( product(s(s(s(n0))),s(s(X1)),s(X2))
    | ~ sum(s(s(X3)),s(X1),X2)
    | ~ sum(s(s(X1)),X1,X3) ),
    inference(spm,[status(thm)],[c_0_13,c_0_10]) ).

cnf(c_0_15,plain,
    ( product(s(s(s(n0))),s(s(X1)),s(s(X2)))
    | ~ sum(s(s(X1)),X1,X3)
    | ~ sum(s(s(X3)),X1,X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_10]) ).

cnf(c_0_16,plain,
    ( product(s(s(s(n0))),s(s(s(X1))),s(s(X2)))
    | ~ sum(s(s(s(X3))),s(X1),X2)
    | ~ sum(s(s(s(X1))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_15,c_0_10]) ).

cnf(c_0_17,plain,
    ( product(s(s(s(n0))),s(s(s(X1))),s(s(s(X2))))
    | ~ sum(s(s(s(X1))),X1,X3)
    | ~ sum(s(s(s(X3))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_16,c_0_10]) ).

cnf(c_0_18,plain,
    ( product(s(s(s(n0))),s(s(s(s(X1)))),s(s(s(X2))))
    | ~ sum(s(s(s(s(X3)))),s(X1),X2)
    | ~ sum(s(s(s(s(X1)))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_17,c_0_10]) ).

cnf(c_0_19,plain,
    ( product(s(s(s(n0))),s(s(s(s(X1)))),s(s(s(s(X2)))))
    | ~ sum(s(s(s(s(X1)))),X1,X3)
    | ~ sum(s(s(s(s(X3)))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_18,c_0_10]) ).

cnf(c_0_20,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(X1))))),s(s(s(s(X2)))))
    | ~ sum(s(s(s(s(s(X3))))),s(X1),X2)
    | ~ sum(s(s(s(s(s(X1))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_19,c_0_10]) ).

cnf(c_0_21,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(X1))))),s(s(s(s(s(X2))))))
    | ~ sum(s(s(s(s(s(X1))))),X1,X3)
    | ~ sum(s(s(s(s(s(X3))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_10]) ).

cnf(c_0_22,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(X1)))))),s(s(s(s(s(X2))))))
    | ~ sum(s(s(s(s(s(s(X3)))))),s(X1),X2)
    | ~ sum(s(s(s(s(s(s(X1)))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_21,c_0_10]) ).

cnf(c_0_23,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(X1)))))),s(s(s(s(s(s(X2)))))))
    | ~ sum(s(s(s(s(s(s(X1)))))),X1,X3)
    | ~ sum(s(s(s(s(s(s(X3)))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_10]) ).

cnf(c_0_24,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(X1))))))),s(s(s(s(s(s(X2)))))))
    | ~ sum(s(s(s(s(s(s(s(X3))))))),s(X1),X2)
    | ~ sum(s(s(s(s(s(s(s(X1))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_23,c_0_10]) ).

cnf(c_0_25,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(X1))))))),s(s(s(s(s(s(s(X2))))))))
    | ~ sum(s(s(s(s(s(s(s(X1))))))),X1,X3)
    | ~ sum(s(s(s(s(s(s(s(X3))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_24,c_0_10]) ).

cnf(c_0_26,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(X1)))))))),s(s(s(s(s(s(s(X2))))))))
    | ~ sum(s(s(s(s(s(s(s(s(X3)))))))),s(X1),X2)
    | ~ sum(s(s(s(s(s(s(s(s(X1)))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_25,c_0_10]) ).

cnf(c_0_27,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(X1)))))))),s(s(s(s(s(s(s(s(X2)))))))))
    | ~ sum(s(s(s(s(s(s(s(s(X1)))))))),X1,X3)
    | ~ sum(s(s(s(s(s(s(s(s(X3)))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_26,c_0_10]) ).

cnf(c_0_28,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(X1))))))))),s(s(s(s(s(s(s(s(X2)))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(X3))))))))),s(X1),X2)
    | ~ sum(s(s(s(s(s(s(s(s(s(X1))))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_27,c_0_10]) ).

cnf(c_0_29,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(X1))))))))),s(s(s(s(s(s(s(s(s(X2))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(X1))))))))),X1,X3)
    | ~ sum(s(s(s(s(s(s(s(s(s(X3))))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_10]) ).

cnf(c_0_30,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(X1)))))))))),s(s(s(s(s(s(s(s(s(X2))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(X3)))))))))),s(X1),X2)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(X1)))))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_29,c_0_10]) ).

cnf(c_0_31,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(X1)))))))))),s(s(s(s(s(s(s(s(s(s(X2)))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(X1)))))))))),X1,X3)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(X3)))))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_30,c_0_10]) ).

cnf(c_0_32,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(X1))))))))))),s(s(s(s(s(s(s(s(s(s(X2)))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))),s(X1),X2)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_31,c_0_10]) ).

cnf(c_0_33,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(X1))))))))))),s(s(s(s(s(s(s(s(s(s(s(X2))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))),X1,X3)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_10]) ).

cnf(c_0_34,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))),s(s(s(s(s(s(s(s(s(s(s(X2))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))),s(X1),X2)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_33,c_0_10]) ).

cnf(c_0_35,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(X2)))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))),X1,X3)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_10]) ).

cnf(c_0_36,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(X2)))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))),s(X1),X2)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_10]) ).

cnf(c_0_37,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(X2))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))),X1,X3)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_36,c_0_10]) ).

cnf(c_0_38,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(X2))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))),s(X1),X2)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_37,c_0_10]) ).

cnf(c_0_39,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(X2)))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))),X1,X3)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_10]) ).

cnf(c_0_40,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(X2)))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))),s(X1),X2)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_39,c_0_10]) ).

cnf(c_0_41,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X2))))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))))),X1,X3)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_10]) ).

cnf(c_0_42,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X2))))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))),s(X1),X2)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_41,c_0_10]) ).

cnf(c_0_43,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X2)))))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))))),X1,X3)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_42,c_0_10]) ).

cnf(c_0_44,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X2)))))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))))),s(X1),X2)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_43,c_0_10]) ).

cnf(c_0_45,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X2))))))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))))))),X1,X3)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_44,c_0_10]) ).

cnf(c_0_46,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X2))))))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))),s(X1),X2)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_45,c_0_10]) ).

cnf(c_0_47,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X2)))))))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))))))),X1,X3)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_46,c_0_10]) ).

cnf(c_0_48,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(X1))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X2)))))))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))))))),s(X1),X2)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_47,c_0_10]) ).

cnf(c_0_49,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(X1))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X2))))))))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))))))))),X1,X3)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_48,c_0_10]) ).

cnf(c_0_50,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(X1)))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X2))))))))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))))),s(X1),X2)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_10]) ).

cnf(c_0_51,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(X1)))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X2)))))))))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))))))))),X1,X3)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3)))))))))))))))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_50,c_0_10]) ).

cnf(c_0_52,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(X1))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X2)))))))))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))))))))),s(X1),X2)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))))))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_51,c_0_10]) ).

cnf(c_0_53,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(X1))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X2))))))))))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))))))))))),X1,X3)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X3))))))))))))))))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_10]) ).

cnf(c_0_54,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(X1)))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X2))))))))))))))))))))))
    | ~ 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(X1),X2)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))))))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_53,c_0_10]) ).

cnf(c_0_55,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(X1)))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X2)))))))))))))))))))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))))))))))),X1,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)))))))))))))))))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_10]) ).

cnf(c_0_56,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(X1))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(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(X3))))))))))))))))))))))),s(X1),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(X1))))))))))))))))))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_55,c_0_10]) ).

cnf(c_0_57,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(X1))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(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(X1))))))))))))))))))))))),X1,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))))))))))))))))))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_56,c_0_10]) ).

cnf(c_0_58,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(X1)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(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(X3)))))))))))))))))))))))),s(X1),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(X1)))))))))))))))))))))))),X1,X3) ),
    inference(spm,[status(thm)],[c_0_57,c_0_10]) ).

cnf(c_0_59,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(X1)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(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(X1)))))))))))))))))))))))),X1,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)))))))))))))))))))))))),X1,X2) ),
    inference(spm,[status(thm)],[c_0_58,c_0_10]) ).

cnf(c_0_60,axiom,
    sum(X1,n0,X1),
    add_0 ).

cnf(c_0_61,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(X1)))))))))))))))))))))))))
    | ~ 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,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_62,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)))))))))))))))))))))))),X1)
    | ~ 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,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(X2)))))))))))))))))))))))),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)))))))))))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_61]) ).

cnf(c_0_63,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)))))))))))))))))))))))),X1)
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),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)))))))))))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_60]) ).

cnf(c_0_64,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(X1))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_10]) ).

cnf(c_0_65,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(X1)))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_10]) ).

cnf(c_0_66,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(X1))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_10]) ).

cnf(c_0_67,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(X1)))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_10]) ).

cnf(c_0_68,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(X1))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_10]) ).

cnf(c_0_69,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(X1)))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_10]) ).

cnf(c_0_70,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(X1))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_10]) ).

cnf(c_0_71,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(X1)))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_10]) ).

cnf(c_0_72,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(X1))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_71,c_0_10]) ).

cnf(c_0_73,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(X1)))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_10]) ).

cnf(c_0_74,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(X1))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_10]) ).

cnf(c_0_75,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(X1)))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_10]) ).

cnf(c_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(X1))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_10]) ).

cnf(c_0_77,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(X1)))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(n0)))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_10]) ).

cnf(c_0_78,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(X1))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(n0))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_10]) ).

cnf(c_0_79,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(X1)))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_10]) ).

cnf(c_0_80,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(X1))))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(n0))))))),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_10]) ).

cnf(c_0_81,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(X1)))))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(n0)))))),X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_10]) ).

cnf(c_0_82,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(X1))))))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(n0))))),X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_10]) ).

cnf(c_0_83,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(X1)))))))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(n0)))),X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_10]) ).

cnf(c_0_84,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(X1))))))))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(n0))),X1) ),
    inference(spm,[status(thm)],[c_0_83,c_0_10]) ).

cnf(c_0_85,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(X1)))))))))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(n0)),X1) ),
    inference(spm,[status(thm)],[c_0_84,c_0_10]) ).

cnf(c_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(X1))))))))))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(n0),X1) ),
    inference(spm,[status(thm)],[c_0_85,c_0_10]) ).

cnf(c_0_87,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(X1)))))))))))))))))))))))))
    | ~ 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,X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_10]) ).

cnf(c_0_88,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(spm,[status(thm)],[c_0_87,c_0_60]) ).

cnf(c_0_89,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)))))))))))))))))))))))),X1)
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),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)))))))))))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_88]) ).

cnf(c_0_90,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(X1))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_10]) ).

cnf(c_0_91,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(X1)))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_10]) ).

cnf(c_0_92,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(X1))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_91,c_0_10]) ).

cnf(c_0_93,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(X1)))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_92,c_0_10]) ).

cnf(c_0_94,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(X1))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_93,c_0_10]) ).

cnf(c_0_95,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(X1)))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_94,c_0_10]) ).

cnf(c_0_96,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(X1))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_10]) ).

cnf(c_0_97,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(X1)))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_96,c_0_10]) ).

cnf(c_0_98,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(X1))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_97,c_0_10]) ).

cnf(c_0_99,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(X1)))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_98,c_0_10]) ).

cnf(c_0_100,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(X1))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_99,c_0_10]) ).

cnf(c_0_101,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(X1)))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_100,c_0_10]) ).

cnf(c_0_102,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(X1))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_101,c_0_10]) ).

cnf(c_0_103,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(X1)))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(n0)))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_10]) ).

cnf(c_0_104,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(X1))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(n0))))))))),X1) ),
    inference(spm,[status(thm)],[c_0_103,c_0_10]) ).

cnf(c_0_105,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(X1)))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(n0)))))))),X1) ),
    inference(spm,[status(thm)],[c_0_104,c_0_10]) ).

cnf(c_0_106,plain,
    ( product(s(s(s(n0))),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(X1)))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),n0,X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_60]) ).

cnf(c_0_107,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(X1))))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(n0))))))),X1) ),
    inference(spm,[status(thm)],[c_0_105,c_0_10]) ).

cnf(c_0_108,plain,
    ( product(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))),X1)
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),n0,X2)
    | ~ sum(s(s(s(s(s(s(X2)))))),s(s(s(s(s(s(n0)))))),X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_106]) ).

cnf(c_0_109,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(X1)))))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(n0)))))),X1) ),
    inference(spm,[status(thm)],[c_0_107,c_0_10]) ).

cnf(c_0_110,plain,
    ( product(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))),X1)
    | ~ sum(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)))))),X1) ),
    inference(spm,[status(thm)],[c_0_108,c_0_60]) ).

cnf(c_0_111,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(X1))))))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(n0))))),X1) ),
    inference(spm,[status(thm)],[c_0_109,c_0_10]) ).

cnf(c_0_112,plain,
    ( product(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))),s(X1))
    | ~ sum(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))))),X1) ),
    inference(spm,[status(thm)],[c_0_110,c_0_10]) ).

cnf(c_0_113,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(X1)))))))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(n0)))),X1) ),
    inference(spm,[status(thm)],[c_0_111,c_0_10]) ).

cnf(c_0_114,plain,
    ( product(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))),s(s(X1)))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),s(s(s(s(n0)))),X1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_10]) ).

cnf(c_0_115,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(X1))))))))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(n0))),X1) ),
    inference(spm,[status(thm)],[c_0_113,c_0_10]) ).

cnf(c_0_116,plain,
    ( product(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))),s(s(s(X1))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),s(s(s(n0))),X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_10]) ).

cnf(c_0_117,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(X1)))))))))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(n0)),X1) ),
    inference(spm,[status(thm)],[c_0_115,c_0_10]) ).

cnf(c_0_118,plain,
    ( product(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))),s(s(s(s(X1)))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),s(s(n0)),X1) ),
    inference(spm,[status(thm)],[c_0_116,c_0_10]) ).

cnf(c_0_119,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(X1))))))))))))))))))))))))
    | ~ 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(n0),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_10]) ).

cnf(c_0_120,plain,
    ( product(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))),s(s(s(s(s(X1))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),s(n0),X1) ),
    inference(spm,[status(thm)],[c_0_118,c_0_10]) ).

cnf(c_0_121,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(X1)))))))))))))))))))))))))
    | ~ 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,X1) ),
    inference(spm,[status(thm)],[c_0_119,c_0_10]) ).

cnf(c_0_122,plain,
    ( product(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(X1)))))))
    | ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),n0,X1) ),
    inference(spm,[status(thm)],[c_0_120,c_0_10]) ).

cnf(c_0_123,axiom,
    ( factorial(s(X1),X3)
    | ~ factorial(X1,X2)
    | ~ product(s(X1),X2,X3) ),
    factorial ).

cnf(c_0_124,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(spm,[status(thm)],[c_0_121,c_0_60]) ).

cnf(c_0_125,negated_conjecture,
    ~ factorial(s(s(s(s(s(n0))))),X1),
    prove_factorial ).

cnf(c_0_126,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(spm,[status(thm)],[c_0_122,c_0_60]) ).

cnf(c_0_127,plain,
    ( product(s(s(s(n0))),s(s(n0)),s(s(X1)))
    | ~ sum(s(s(s(s(n0)))),n0,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_60]) ).

cnf(c_0_128,plain,
    ( factorial(s(s(n0)),X1)
    | ~ factorial(s(n0),X2)
    | ~ sum(X2,X2,X1) ),
    inference(spm,[status(thm)],[c_0_123,c_0_9]) ).

cnf(c_0_129,plain,
    ( factorial(s(n0),X1)
    | ~ factorial(n0,X1) ),
    inference(spm,[status(thm)],[c_0_123,c_0_8]) ).

cnf(c_0_130,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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]) ).

cnf(c_0_131,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(n0))),s(s(s(s(s(s(n0))))))) ),
    inference(spm,[status(thm)],[c_0_123,c_0_126]) ).

cnf(c_0_132,plain,
    ( factorial(s(s(s(n0))),s(s(X1)))
    | ~ factorial(s(s(n0)),s(s(n0)))
    | ~ sum(s(s(s(s(n0)))),n0,X1) ),
    inference(spm,[status(thm)],[c_0_123,c_0_127]) ).

cnf(c_0_133,plain,
    ( factorial(s(s(n0)),X1)
    | ~ factorial(n0,X2)
    | ~ sum(X2,X2,X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_134,axiom,
    factorial(n0,s(n0)),
    factorial_0 ).

cnf(c_0_135,plain,
    ~ factorial(s(s(s(n0))),s(s(s(s(s(s(n0))))))),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_136,plain,
    ( factorial(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
    | ~ factorial(s(s(n0)),s(s(n0))) ),
    inference(spm,[status(thm)],[c_0_132,c_0_60]) ).

cnf(c_0_137,plain,
    ( factorial(s(s(n0)),X1)
    | ~ sum(s(n0),s(n0),X1) ),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_138,plain,
    ~ factorial(s(s(n0)),s(s(n0))),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_139,plain,
    ( factorial(s(s(n0)),s(X1))
    | ~ sum(s(n0),n0,X1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_10]) ).

cnf(c_0_140,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_60])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : NUM283-1.005 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Oct  2 14:13:50 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.3z84OUANGB/E---3.1_28440.p
% 19.92/3.06  # Version: 3.1pre001
% 19.92/3.06  # Preprocessing class: FSSSSMSSSSSNFFN.
% 19.92/3.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.92/3.06  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 19.92/3.06  # Starting new_bool_3 with 300s (1) cores
% 19.92/3.06  # Starting new_bool_1 with 300s (1) cores
% 19.92/3.06  # Starting sh5l with 300s (1) cores
% 19.92/3.06  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 28543 completed with status 0
% 19.92/3.06  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 19.92/3.06  # Preprocessing class: FSSSSMSSSSSNFFN.
% 19.92/3.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.92/3.06  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 19.92/3.06  # No SInE strategy applied
% 19.92/3.06  # Search class: FHUNS-FFSF11-MFFFFFNN
% 19.92/3.06  # partial match(1): FHUNS-FFSF21-MFFFFFNN
% 19.92/3.06  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 19.92/3.06  # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 811s (1) cores
% 19.92/3.06  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 19.92/3.06  # Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 19.92/3.06  # Starting new_bool_3 with 136s (1) cores
% 19.92/3.06  # Starting new_bool_1 with 136s (1) cores
% 19.92/3.06  # H----_011_C07_F1_PI_SE_SP_S0V with pid 28552 completed with status 0
% 19.92/3.06  # Result found by H----_011_C07_F1_PI_SE_SP_S0V
% 19.92/3.06  # Preprocessing class: FSSSSMSSSSSNFFN.
% 19.92/3.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.92/3.06  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 19.92/3.06  # No SInE strategy applied
% 19.92/3.06  # Search class: FHUNS-FFSF11-MFFFFFNN
% 19.92/3.06  # partial match(1): FHUNS-FFSF21-MFFFFFNN
% 19.92/3.06  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 19.92/3.06  # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 811s (1) cores
% 19.92/3.06  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 19.92/3.06  # Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 19.92/3.06  # Preprocessing time       : 0.001 s
% 19.92/3.06  
% 19.92/3.06  # Proof found!
% 19.92/3.06  # SZS status Unsatisfiable
% 19.92/3.06  # SZS output start CNFRefutation
% See solution above
% 19.92/3.06  # Parsed axioms                        : 7
% 19.92/3.06  # Removed by relevancy pruning/SinE    : 0
% 19.92/3.06  # Initial clauses                      : 7
% 19.92/3.06  # Removed in clause preprocessing      : 0
% 19.92/3.06  # Initial clauses in saturation        : 7
% 19.92/3.06  # Processed clauses                    : 4627
% 19.92/3.06  # ...of these trivial                  : 0
% 19.92/3.06  # ...subsumed                          : 61
% 19.92/3.06  # ...remaining for further processing  : 4566
% 19.92/3.06  # Other redundant clauses eliminated   : 0
% 19.92/3.06  # Clauses deleted for lack of memory   : 0
% 19.92/3.06  # Backward-subsumed                    : 17
% 19.92/3.06  # Backward-rewritten                   : 0
% 19.92/3.06  # Generated clauses                    : 4728
% 19.92/3.06  # ...of the previous two non-redundant : 4727
% 19.92/3.06  # ...aggressively subsumed             : 0
% 19.92/3.06  # Contextual simplify-reflections      : 0
% 19.92/3.06  # Paramodulations                      : 4728
% 19.92/3.06  # Factorizations                       : 0
% 19.92/3.06  # NegExts                              : 0
% 19.92/3.06  # Equation resolutions                 : 0
% 19.92/3.06  # Total rewrite steps                  : 5
% 19.92/3.06  # Propositional unsat checks           : 0
% 19.92/3.06  #    Propositional check models        : 0
% 19.92/3.06  #    Propositional check unsatisfiable : 0
% 19.92/3.06  #    Propositional clauses             : 0
% 19.92/3.06  #    Propositional clauses after purity: 0
% 19.92/3.06  #    Propositional unsat core size     : 0
% 19.92/3.06  #    Propositional preprocessing time  : 0.000
% 19.92/3.06  #    Propositional encoding time       : 0.000
% 19.92/3.06  #    Propositional solver time         : 0.000
% 19.92/3.06  #    Success case prop preproc time    : 0.000
% 19.92/3.06  #    Success case prop encoding time   : 0.000
% 19.92/3.06  #    Success case prop solver time     : 0.000
% 19.92/3.06  # Current number of processed clauses  : 4549
% 19.92/3.06  #    Positive orientable unit clauses  : 253
% 19.92/3.06  #    Positive unorientable unit clauses: 0
% 19.92/3.06  #    Negative unit clauses             : 32
% 19.92/3.06  #    Non-unit-clauses                  : 4264
% 19.92/3.06  # Current number of unprocessed clauses: 107
% 19.92/3.06  # ...number of literals in the above   : 273
% 19.92/3.06  # Current number of archived formulas  : 0
% 19.92/3.06  # Current number of archived clauses   : 17
% 19.92/3.06  # Clause-clause subsumption calls (NU) : 2357827
% 19.92/3.06  # Rec. Clause-clause subsumption calls : 2357827
% 19.92/3.06  # Non-unit clause-clause subsumptions  : 41
% 19.92/3.06  # Unit Clause-clause subsumption calls : 5295
% 19.92/3.06  # Rewrite failures with RHS unbound    : 0
% 19.92/3.06  # BW rewrite match attempts            : 368607
% 19.92/3.06  # BW rewrite match successes           : 0
% 19.92/3.06  # Condensation attempts                : 0
% 19.92/3.06  # Condensation successes               : 0
% 19.92/3.06  # Termbank termtop insertions          : 956725
% 19.92/3.06  
% 19.92/3.06  # -------------------------------------------------
% 19.92/3.06  # User time                : 2.453 s
% 19.92/3.06  # System time              : 0.060 s
% 19.92/3.06  # Total time               : 2.514 s
% 19.92/3.06  # Maximum resident set size: 1688 pages
% 19.92/3.06  
% 19.92/3.06  # -------------------------------------------------
% 19.92/3.06  # User time                : 12.342 s
% 19.92/3.06  # System time              : 0.165 s
% 19.92/3.06  # Total time               : 12.507 s
% 19.92/3.06  # Maximum resident set size: 1732 pages
% 19.92/3.06  % E---3.1 exiting
% 19.92/3.06  % E---3.1 exiting
%------------------------------------------------------------------------------