Prover9---2026-6A.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : RNG027-8 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 08:26:24 AM UTC 2026

% Result   : Unsatisfiable 190.28s 25.68s
% Output   : CNFRefutation 190.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  153
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  265 ( 265 unt;   0 def)
%            Number of atoms       :  265 ( 264 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  126 ( 126   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   12 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :  363 (   2 sgn  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(left_additive_identity,axiom,
    ! [VAR_0] : add(additive_identity,VAR_0) = VAR_0,
    file('theBenchmark.p',left_additive_identity) ).

cnf(c_1,plain,
    add(additive_identity,A) = A,
    inference(clausify,[status(thm)],[left_additive_identity]) ).

fof(left_multiplicative_zero,axiom,
    ! [VAR_0] : multiply(additive_identity,VAR_0) = additive_identity,
    file('theBenchmark.p',left_multiplicative_zero) ).

cnf(c_3,plain,
    multiply(additive_identity,A) = additive_identity,
    inference(clausify,[status(thm)],[left_multiplicative_zero]) ).

fof(right_multiplicative_zero,axiom,
    ! [VAR_0] : multiply(VAR_0,additive_identity) = additive_identity,
    file('theBenchmark.p',right_multiplicative_zero) ).

cnf(c_4,plain,
    multiply(A,additive_identity) = additive_identity,
    inference(clausify,[status(thm)],[right_multiplicative_zero]) ).

fof(right_additive_inverse,axiom,
    ! [VAR_0] : add(VAR_0,additive_inverse(VAR_0)) = additive_identity,
    file('theBenchmark.p',right_additive_inverse) ).

cnf(c_6,plain,
    add(A,additive_inverse(A)) = additive_identity,
    inference(clausify,[status(thm)],[right_additive_inverse]) ).

fof(additive_inverse_additive_inverse,axiom,
    ! [VAR_0] : additive_inverse(additive_inverse(VAR_0)) = VAR_0,
    file('theBenchmark.p',additive_inverse_additive_inverse) ).

cnf(c_7,plain,
    additive_inverse(additive_inverse(A)) = A,
    inference(clausify,[status(thm)],[additive_inverse_additive_inverse]) ).

fof(distribute1,axiom,
    ! [VAR_0,VAR_1,VAR_2] : multiply(VAR_0,add(VAR_1,VAR_2)) = add(multiply(VAR_0,VAR_1),multiply(VAR_0,VAR_2)),
    file('theBenchmark.p',distribute1) ).

cnf(c_8,plain,
    multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)),
    inference(clausify,[status(thm)],[distribute1]) ).

fof(distribute2,axiom,
    ! [VAR_0,VAR_1,VAR_2] : multiply(add(VAR_0,VAR_1),VAR_2) = add(multiply(VAR_0,VAR_2),multiply(VAR_1,VAR_2)),
    file('theBenchmark.p',distribute2) ).

cnf(c_9,plain,
    multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)),
    inference(clausify,[status(thm)],[distribute2]) ).

fof(commutativity_for_addition,axiom,
    ! [VAR_0,VAR_1] : add(VAR_0,VAR_1) = add(VAR_1,VAR_0),
    file('theBenchmark.p',commutativity_for_addition) ).

cnf(c_10,plain,
    add(A,B) = add(B,A),
    inference(clausify,[status(thm)],[commutativity_for_addition]) ).

fof(associativity_for_addition,axiom,
    ! [VAR_0,VAR_1,VAR_2] : add(VAR_0,add(VAR_1,VAR_2)) = add(add(VAR_0,VAR_1),VAR_2),
    file('theBenchmark.p',associativity_for_addition) ).

cnf(c_11,plain,
    add(A,add(B,C)) = add(add(A,B),C),
    inference(clausify,[status(thm)],[associativity_for_addition]) ).

cnf(c_12,plain,
    add(add(A,B),C) = add(A,add(B,C)),
    inference(copy,[status(thm)],[c_11]) ).

fof(right_alternative,axiom,
    ! [VAR_0,VAR_1] : multiply(multiply(VAR_0,VAR_1),VAR_1) = multiply(VAR_0,multiply(VAR_1,VAR_1)),
    file('theBenchmark.p',right_alternative) ).

cnf(c_13,plain,
    multiply(multiply(A,B),B) = multiply(A,multiply(B,B)),
    inference(clausify,[status(thm)],[right_alternative]) ).

fof(left_alternative,axiom,
    ! [VAR_0,VAR_1] : multiply(multiply(VAR_0,VAR_0),VAR_1) = multiply(VAR_0,multiply(VAR_0,VAR_1)),
    file('theBenchmark.p',left_alternative) ).

cnf(c_14,plain,
    multiply(multiply(A,A),B) = multiply(A,multiply(A,B)),
    inference(clausify,[status(thm)],[left_alternative]) ).

fof(associator,axiom,
    ! [VAR_0,VAR_1,VAR_2] : associator(VAR_0,VAR_1,VAR_2) = add(multiply(multiply(VAR_0,VAR_1),VAR_2),additive_inverse(multiply(VAR_0,multiply(VAR_1,VAR_2)))),
    file('theBenchmark.p',associator) ).

cnf(c_15,plain,
    associator(A,B,C) = add(multiply(multiply(A,B),C),additive_inverse(multiply(A,multiply(B,C)))),
    inference(clausify,[status(thm)],[associator]) ).

cnf(c_16,plain,
    associator(A,B,C) = add(additive_inverse(multiply(A,multiply(B,C))),multiply(multiply(A,B),C)),
    inference(paramod,[status(thm)],[c_10,c_15]) ).

fof(prove_right_moufang,axiom,
    associator(x,multiply(x,y),z) != multiply(associator(x,y,z),x),
    file('theBenchmark.p',prove_right_moufang) ).

cnf(c_18,plain,
    associator(x,multiply(x,y),z) != multiply(associator(x,y,z),x),
    inference(clausify,[status(thm)],[prove_right_moufang]) ).

cnf(c_11993,plain,
    add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)) != multiply(associator(x,y,z),x),
    inference(paramod,[status(thm)],[c_16,c_18]) ).

cnf(c_11994,plain,
    add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)) != multiply(add(additive_inverse(multiply(x,multiply(y,z))),multiply(multiply(x,y),z)),x),
    inference(paramod,[status(thm)],[c_16,c_11993]) ).

cnf(c_11995,plain,
    add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)) != add(multiply(additive_inverse(multiply(x,multiply(y,z))),x),multiply(multiply(multiply(x,y),z),x)),
    inference(paramod,[status(thm)],[c_9,c_11994]) ).

cnf(c_19,plain,
    add(multiply(additive_inverse(multiply(x,multiply(y,z))),x),multiply(multiply(multiply(x,y),z),x)) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(copy,[status(thm)],[c_11995]) ).

cnf(c_11996,plain,
    multiply(A,additive_identity) = add(multiply(A,B),multiply(A,additive_inverse(B))),
    inference(paramod,[status(thm)],[c_6,c_8]) ).

cnf(c_11997,plain,
    additive_identity = add(multiply(A,B),multiply(A,additive_inverse(B))),
    inference(paramod,[status(thm)],[c_4,c_11996]) ).

cnf(c_21,plain,
    add(multiply(A,B),multiply(A,additive_inverse(B))) = additive_identity,
    inference(copy,[status(thm)],[c_11997]) ).

cnf(c_11998,plain,
    multiply(additive_identity,A) = add(multiply(B,A),multiply(additive_inverse(B),A)),
    inference(paramod,[status(thm)],[c_6,c_9]) ).

cnf(c_11999,plain,
    additive_identity = add(multiply(B,A),multiply(additive_inverse(B),A)),
    inference(paramod,[status(thm)],[c_3,c_11998]) ).

cnf(c_22,plain,
    add(multiply(A,B),multiply(additive_inverse(A),B)) = additive_identity,
    inference(copy,[status(thm)],[c_11999]) ).

cnf(c_12000,plain,
    add(additive_identity,A) = add(B,add(additive_inverse(B),A)),
    inference(paramod,[status(thm)],[c_6,c_12]) ).

cnf(c_12001,plain,
    A = add(B,add(additive_inverse(B),A)),
    inference(paramod,[status(thm)],[c_1,c_12000]) ).

cnf(c_25,plain,
    add(A,add(additive_inverse(A),B)) = B,
    inference(copy,[status(thm)],[c_12001]) ).

cnf(c_12002,plain,
    add(add(A,B),C) = add(B,add(A,C)),
    inference(paramod,[status(thm)],[c_10,c_12]) ).

cnf(c_27,plain,
    add(A,add(B,C)) = add(B,add(A,C)),
    inference(paramod,[status(thm)],[c_12,c_12002]) ).

cnf(c_12003,plain,
    multiply(A,multiply(add(B,C),add(B,C))) = add(multiply(multiply(A,add(B,C)),B),multiply(multiply(A,add(B,C)),C)),
    inference(paramod,[status(thm)],[c_13,c_8]) ).

cnf(c_12004,plain,
    multiply(A,add(multiply(add(B,C),B),multiply(add(B,C),C))) = add(multiply(multiply(A,add(B,C)),B),multiply(multiply(A,add(B,C)),C)),
    inference(paramod,[status(thm)],[c_8,c_12003]) ).

cnf(c_12005,plain,
    multiply(A,add(add(multiply(B,B),multiply(C,B)),multiply(add(B,C),C))) = add(multiply(multiply(A,add(B,C)),B),multiply(multiply(A,add(B,C)),C)),
    inference(paramod,[status(thm)],[c_9,c_12004]) ).

cnf(c_12006,plain,
    multiply(A,add(add(multiply(B,B),multiply(C,B)),add(multiply(B,C),multiply(C,C)))) = add(multiply(multiply(A,add(B,C)),B),multiply(multiply(A,add(B,C)),C)),
    inference(paramod,[status(thm)],[c_9,c_12005]) ).

cnf(c_12007,plain,
    multiply(A,add(multiply(B,B),add(multiply(C,B),add(multiply(B,C),multiply(C,C))))) = add(multiply(multiply(A,add(B,C)),B),multiply(multiply(A,add(B,C)),C)),
    inference(paramod,[status(thm)],[c_12,c_12006]) ).

cnf(c_12008,plain,
    add(multiply(A,multiply(B,B)),multiply(A,add(multiply(C,B),add(multiply(B,C),multiply(C,C))))) = add(multiply(multiply(A,add(B,C)),B),multiply(multiply(A,add(B,C)),C)),
    inference(paramod,[status(thm)],[c_8,c_12007]) ).

cnf(c_12009,plain,
    add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),multiply(A,add(multiply(B,C),multiply(C,C))))) = add(multiply(multiply(A,add(B,C)),B),multiply(multiply(A,add(B,C)),C)),
    inference(paramod,[status(thm)],[c_8,c_12008]) ).

cnf(c_12010,plain,
    add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(multiply(multiply(A,add(B,C)),B),multiply(multiply(A,add(B,C)),C)),
    inference(paramod,[status(thm)],[c_8,c_12009]) ).

cnf(c_12011,plain,
    add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(multiply(add(multiply(A,B),multiply(A,C)),B),multiply(multiply(A,add(B,C)),C)),
    inference(paramod,[status(thm)],[c_8,c_12010]) ).

cnf(c_12012,plain,
    add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(add(multiply(multiply(A,B),B),multiply(multiply(A,C),B)),multiply(multiply(A,add(B,C)),C)),
    inference(paramod,[status(thm)],[c_9,c_12011]) ).

cnf(c_12013,plain,
    add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(add(multiply(A,multiply(B,B)),multiply(multiply(A,C),B)),multiply(multiply(A,add(B,C)),C)),
    inference(paramod,[status(thm)],[c_13,c_12012]) ).

cnf(c_12014,plain,
    add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(add(multiply(A,multiply(B,B)),multiply(multiply(A,C),B)),multiply(add(multiply(A,B),multiply(A,C)),C)),
    inference(paramod,[status(thm)],[c_8,c_12013]) ).

cnf(c_12015,plain,
    add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(add(multiply(A,multiply(B,B)),multiply(multiply(A,C),B)),add(multiply(multiply(A,B),C),multiply(multiply(A,C),C))),
    inference(paramod,[status(thm)],[c_9,c_12014]) ).

cnf(c_12016,plain,
    add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(add(multiply(A,multiply(B,B)),multiply(multiply(A,C),B)),add(multiply(multiply(A,B),C),multiply(A,multiply(C,C)))),
    inference(paramod,[status(thm)],[c_13,c_12015]) ).

cnf(c_12017,plain,
    add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(multiply(A,multiply(B,B)),add(multiply(multiply(A,C),B),add(multiply(multiply(A,B),C),multiply(A,multiply(C,C))))),
    inference(paramod,[status(thm)],[c_12,c_12016]) ).

cnf(c_28,plain,
    add(multiply(A,multiply(B,B)),add(multiply(multiply(A,C),B),add(multiply(multiply(A,B),C),multiply(A,multiply(C,C))))) = add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))),
    inference(copy,[status(thm)],[c_12017]) ).

cnf(c_12018,plain,
    multiply(add(multiply(add(A,B),A),multiply(add(A,B),B)),C) = multiply(add(A,B),multiply(add(A,B),C)),
    inference(paramod,[status(thm)],[c_8,c_14]) ).

cnf(c_12019,plain,
    multiply(add(add(multiply(A,A),multiply(B,A)),multiply(add(A,B),B)),C) = multiply(add(A,B),multiply(add(A,B),C)),
    inference(paramod,[status(thm)],[c_9,c_12018]) ).

cnf(c_12020,plain,
    multiply(add(add(multiply(A,A),multiply(B,A)),add(multiply(A,B),multiply(B,B))),C) = multiply(add(A,B),multiply(add(A,B),C)),
    inference(paramod,[status(thm)],[c_9,c_12019]) ).

cnf(c_12021,plain,
    multiply(add(multiply(A,A),add(multiply(B,A),add(multiply(A,B),multiply(B,B)))),C) = multiply(add(A,B),multiply(add(A,B),C)),
    inference(paramod,[status(thm)],[c_12,c_12020]) ).

cnf(c_12022,plain,
    add(multiply(multiply(A,A),C),multiply(add(multiply(B,A),add(multiply(A,B),multiply(B,B))),C)) = multiply(add(A,B),multiply(add(A,B),C)),
    inference(paramod,[status(thm)],[c_9,c_12021]) ).

cnf(c_12023,plain,
    add(multiply(A,multiply(A,C)),multiply(add(multiply(B,A),add(multiply(A,B),multiply(B,B))),C)) = multiply(add(A,B),multiply(add(A,B),C)),
    inference(paramod,[status(thm)],[c_14,c_12022]) ).

cnf(c_12024,plain,
    add(multiply(A,multiply(A,C)),add(multiply(multiply(B,A),C),multiply(add(multiply(A,B),multiply(B,B)),C))) = multiply(add(A,B),multiply(add(A,B),C)),
    inference(paramod,[status(thm)],[c_9,c_12023]) ).

cnf(c_12025,plain,
    add(multiply(A,multiply(A,C)),add(multiply(multiply(B,A),C),add(multiply(multiply(A,B),C),multiply(multiply(B,B),C)))) = multiply(add(A,B),multiply(add(A,B),C)),
    inference(paramod,[status(thm)],[c_9,c_12024]) ).

cnf(c_12026,plain,
    add(multiply(A,multiply(A,C)),add(multiply(multiply(B,A),C),add(multiply(multiply(A,B),C),multiply(B,multiply(B,C))))) = multiply(add(A,B),multiply(add(A,B),C)),
    inference(paramod,[status(thm)],[c_14,c_12025]) ).

cnf(c_12027,plain,
    add(multiply(A,multiply(A,C)),add(multiply(multiply(B,A),C),add(multiply(B,multiply(B,C)),multiply(multiply(A,B),C)))) = multiply(add(A,B),multiply(add(A,B),C)),
    inference(paramod,[status(thm)],[c_10,c_12026]) ).

cnf(c_12028,plain,
    add(multiply(A,multiply(A,C)),add(multiply(B,multiply(B,C)),add(multiply(multiply(B,A),C),multiply(multiply(A,B),C)))) = multiply(add(A,B),multiply(add(A,B),C)),
    inference(paramod,[status(thm)],[c_27,c_12027]) ).

cnf(c_12029,plain,
    add(multiply(A,multiply(A,C)),add(multiply(B,multiply(B,C)),add(multiply(multiply(B,A),C),multiply(multiply(A,B),C)))) = multiply(add(A,B),add(multiply(A,C),multiply(B,C))),
    inference(paramod,[status(thm)],[c_9,c_12028]) ).

cnf(c_12030,plain,
    add(multiply(A,multiply(A,C)),add(multiply(B,multiply(B,C)),add(multiply(multiply(B,A),C),multiply(multiply(A,B),C)))) = add(multiply(add(A,B),multiply(A,C)),multiply(add(A,B),multiply(B,C))),
    inference(paramod,[status(thm)],[c_8,c_12029]) ).

cnf(c_12031,plain,
    add(multiply(A,multiply(A,C)),add(multiply(B,multiply(B,C)),add(multiply(multiply(B,A),C),multiply(multiply(A,B),C)))) = add(add(multiply(A,multiply(A,C)),multiply(B,multiply(A,C))),multiply(add(A,B),multiply(B,C))),
    inference(paramod,[status(thm)],[c_9,c_12030]) ).

cnf(c_12032,plain,
    add(multiply(A,multiply(A,C)),add(multiply(B,multiply(B,C)),add(multiply(multiply(B,A),C),multiply(multiply(A,B),C)))) = add(add(multiply(A,multiply(A,C)),multiply(B,multiply(A,C))),add(multiply(A,multiply(B,C)),multiply(B,multiply(B,C)))),
    inference(paramod,[status(thm)],[c_9,c_12031]) ).

cnf(c_30,plain,
    add(multiply(A,multiply(A,B)),add(multiply(C,multiply(C,B)),add(multiply(multiply(C,A),B),multiply(multiply(A,C),B)))) = add(multiply(A,multiply(A,B)),add(multiply(C,multiply(A,B)),add(multiply(A,multiply(C,B)),multiply(C,multiply(C,B))))),
    inference(paramod,[status(thm)],[c_12,c_12032]) ).

cnf(c_36,plain,
    add(A,add(B,additive_inverse(A))) = B,
    inference(paramod,[status(thm)],[c_10,c_25]) ).

cnf(c_38,plain,
    add(additive_inverse(A),add(B,A)) = B,
    inference(paramod,[status(thm)],[c_7,c_36]) ).

cnf(c_12033,plain,
    add(A,B) = add(additive_inverse(C),add(add(A,C),B)),
    inference(paramod,[status(thm)],[c_38,c_12]) ).

cnf(c_12034,plain,
    add(A,B) = add(additive_inverse(C),add(A,add(C,B))),
    inference(paramod,[status(thm)],[c_12,c_12033]) ).

cnf(c_46,plain,
    add(additive_inverse(A),add(B,add(A,C))) = add(B,C),
    inference(copy,[status(thm)],[c_12034]) ).

cnf(c_47,plain,
    add(additive_inverse(A),add(B,add(C,A))) = add(B,C),
    inference(paramod,[status(thm)],[c_12,c_38]) ).

cnf(c_12035,plain,
    add(additive_inverse(add(A,B)),A) = additive_inverse(B),
    inference(paramod,[status(thm)],[c_38,c_38]) ).

cnf(c_50,plain,
    add(A,additive_inverse(add(A,B))) = additive_inverse(B),
    inference(paramod,[status(thm)],[c_10,c_12035]) ).

cnf(c_12036,plain,
    add(additive_inverse(multiply(A,additive_inverse(B))),additive_identity) = multiply(A,B),
    inference(paramod,[status(thm)],[c_21,c_38]) ).

cnf(c_12037,plain,
    add(additive_identity,additive_inverse(multiply(A,additive_inverse(B)))) = multiply(A,B),
    inference(paramod,[status(thm)],[c_10,c_12036]) ).

cnf(c_64,plain,
    additive_inverse(multiply(A,additive_inverse(B))) = multiply(A,B),
    inference(paramod,[status(thm)],[c_1,c_12037]) ).

cnf(c_12038,plain,
    add(additive_inverse(A),additive_inverse(B)) = additive_inverse(add(B,A)),
    inference(paramod,[status(thm)],[c_38,c_50]) ).

cnf(c_71,plain,
    additive_inverse(add(A,B)) = add(additive_inverse(B),additive_inverse(A)),
    inference(copy,[status(thm)],[c_12038]) ).

cnf(c_12039,plain,
    additive_inverse(multiply(A,B)) = multiply(A,additive_inverse(B)),
    inference(paramod,[status(thm)],[c_64,c_7]) ).

cnf(c_72,plain,
    multiply(A,additive_inverse(B)) = additive_inverse(multiply(A,B)),
    inference(copy,[status(thm)],[c_12039]) ).

cnf(c_12040,plain,
    add(additive_inverse(multiply(additive_inverse(A),B)),additive_identity) = multiply(A,B),
    inference(paramod,[status(thm)],[c_22,c_38]) ).

cnf(c_12041,plain,
    add(additive_identity,additive_inverse(multiply(additive_inverse(A),B))) = multiply(A,B),
    inference(paramod,[status(thm)],[c_10,c_12040]) ).

cnf(c_80,plain,
    additive_inverse(multiply(additive_inverse(A),B)) = multiply(A,B),
    inference(paramod,[status(thm)],[c_1,c_12041]) ).

cnf(c_12042,plain,
    additive_inverse(multiply(A,B)) = multiply(additive_inverse(A),B),
    inference(paramod,[status(thm)],[c_80,c_7]) ).

cnf(c_83,plain,
    multiply(additive_inverse(A),B) = additive_inverse(multiply(A,B)),
    inference(copy,[status(thm)],[c_12042]) ).

cnf(c_84,plain,
    add(additive_inverse(multiply(multiply(x,multiply(y,z)),x)),multiply(multiply(multiply(x,y),z),x)) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_83,c_19]) ).

cnf(c_12043,plain,
    add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(multiply(multiply(A,C),B),add(multiply(A,multiply(B,B)),add(multiply(multiply(A,B),C),multiply(A,multiply(C,C))))),
    inference(paramod,[status(thm)],[c_28,c_27]) ).

cnf(c_108,plain,
    add(multiply(multiply(A,B),C),add(multiply(A,multiply(C,C)),add(multiply(multiply(A,C),B),multiply(A,multiply(B,B))))) = add(multiply(A,multiply(C,C)),add(multiply(A,multiply(B,C)),add(multiply(A,multiply(C,B)),multiply(A,multiply(B,B))))),
    inference(copy,[status(thm)],[c_12043]) ).

cnf(c_116,plain,
    add(additive_inverse(A),add(B,add(C,add(D,A)))) = add(B,add(C,D)),
    inference(paramod,[status(thm)],[c_12,c_47]) ).

cnf(c_12044,plain,
    add(additive_inverse(multiply(A,multiply(A,B))),add(multiply(C,multiply(C,B)),add(multiply(A,multiply(C,B)),add(multiply(C,multiply(A,B)),multiply(A,multiply(A,B)))))) = add(multiply(C,multiply(C,B)),add(multiply(multiply(A,C),B),multiply(multiply(C,A),B))),
    inference(paramod,[status(thm)],[c_30,c_46]) ).

cnf(c_12045,plain,
    add(multiply(C,multiply(C,B)),add(multiply(A,multiply(C,B)),multiply(C,multiply(A,B)))) = add(multiply(C,multiply(C,B)),add(multiply(multiply(A,C),B),multiply(multiply(C,A),B))),
    inference(paramod,[status(thm)],[c_116,c_12044]) ).

cnf(c_139,plain,
    add(multiply(A,multiply(A,B)),add(multiply(multiply(C,A),B),multiply(multiply(A,C),B))) = add(multiply(A,multiply(A,B)),add(multiply(C,multiply(A,B)),multiply(A,multiply(C,B)))),
    inference(copy,[status(thm)],[c_12045]) ).

cnf(c_12046,plain,
    add(additive_inverse(multiply(A,multiply(A,B))),add(C,add(multiply(A,multiply(A,B)),add(multiply(D,multiply(A,B)),multiply(A,multiply(D,B)))))) = add(C,add(multiply(multiply(D,A),B),multiply(multiply(A,D),B))),
    inference(paramod,[status(thm)],[c_139,c_46]) ).

cnf(c_12047,plain,
    add(C,add(multiply(D,multiply(A,B)),multiply(A,multiply(D,B)))) = add(C,add(multiply(multiply(D,A),B),multiply(multiply(A,D),B))),
    inference(paramod,[status(thm)],[c_46,c_12046]) ).

cnf(c_680,plain,
    add(A,add(multiply(multiply(B,C),D),multiply(multiply(C,B),D))) = add(A,add(multiply(B,multiply(C,D)),multiply(C,multiply(B,D)))),
    inference(copy,[status(thm)],[c_12047]) ).

cnf(c_12048,plain,
    add(additive_identity,add(multiply(A,multiply(B,C)),multiply(B,multiply(A,C)))) = add(multiply(multiply(A,B),C),multiply(multiply(B,A),C)),
    inference(paramod,[status(thm)],[c_680,c_1]) ).

cnf(c_12049,plain,
    add(multiply(A,multiply(B,C)),multiply(B,multiply(A,C))) = add(multiply(multiply(A,B),C),multiply(multiply(B,A),C)),
    inference(paramod,[status(thm)],[c_1,c_12048]) ).

cnf(c_751,plain,
    add(multiply(multiply(A,B),C),multiply(multiply(B,A),C)) = add(multiply(A,multiply(B,C)),multiply(B,multiply(A,C))),
    inference(copy,[status(thm)],[c_12049]) ).

cnf(c_12050,plain,
    add(additive_inverse(multiply(multiply(A,B),C)),add(multiply(B,multiply(A,C)),multiply(A,multiply(B,C)))) = multiply(multiply(B,A),C),
    inference(paramod,[status(thm)],[c_680,c_38]) ).

cnf(c_12051,plain,
    add(add(multiply(B,multiply(A,C)),multiply(A,multiply(B,C))),additive_inverse(multiply(multiply(A,B),C))) = multiply(multiply(B,A),C),
    inference(paramod,[status(thm)],[c_10,c_12050]) ).

cnf(c_12052,plain,
    add(multiply(B,multiply(A,C)),add(multiply(A,multiply(B,C)),additive_inverse(multiply(multiply(A,B),C)))) = multiply(multiply(B,A),C),
    inference(paramod,[status(thm)],[c_12,c_12051]) ).

cnf(c_760,plain,
    multiply(multiply(A,B),C) = add(multiply(A,multiply(B,C)),add(multiply(B,multiply(A,C)),additive_inverse(multiply(multiply(B,A),C)))),
    inference(copy,[status(thm)],[c_12052]) ).

cnf(c_832,plain,
    add(multiply(A,multiply(B,B)),multiply(multiply(B,A),B)) = add(multiply(A,multiply(B,B)),multiply(B,multiply(A,B))),
    inference(paramod,[status(thm)],[c_13,c_751]) ).

cnf(c_12053,plain,
    add(additive_inverse(multiply(A,multiply(B,B))),add(C,add(multiply(A,multiply(B,B)),multiply(B,multiply(A,B))))) = add(C,multiply(multiply(B,A),B)),
    inference(paramod,[status(thm)],[c_832,c_46]) ).

cnf(c_12054,plain,
    add(C,multiply(B,multiply(A,B))) = add(C,multiply(multiply(B,A),B)),
    inference(paramod,[status(thm)],[c_46,c_12053]) ).

cnf(c_918,plain,
    add(A,multiply(multiply(B,C),B)) = add(A,multiply(B,multiply(C,B))),
    inference(copy,[status(thm)],[c_12054]) ).

cnf(c_12055,plain,
    add(additive_identity,multiply(A,multiply(B,A))) = multiply(multiply(A,B),A),
    inference(paramod,[status(thm)],[c_918,c_1]) ).

cnf(c_12056,plain,
    multiply(A,multiply(B,A)) = multiply(multiply(A,B),A),
    inference(paramod,[status(thm)],[c_1,c_12055]) ).

cnf(c_946,plain,
    multiply(multiply(A,B),A) = multiply(A,multiply(B,A)),
    inference(copy,[status(thm)],[c_12056]) ).

cnf(c_988,plain,
    add(additive_inverse(multiply(x,multiply(multiply(y,z),x))),multiply(multiply(multiply(x,y),z),x)) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_946,c_84]) ).

cnf(c_12057,plain,
    add(additive_inverse(multiply(x,multiply(multiply(y,z),x))),multiply(add(multiply(x,multiply(y,z)),add(multiply(y,multiply(x,z)),additive_inverse(multiply(multiply(y,x),z)))),x)) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_760,c_988]) ).

cnf(c_12058,plain,
    add(additive_inverse(multiply(x,multiply(multiply(y,z),x))),add(multiply(multiply(x,multiply(y,z)),x),multiply(add(multiply(y,multiply(x,z)),additive_inverse(multiply(multiply(y,x),z))),x))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_9,c_12057]) ).

cnf(c_12059,plain,
    add(additive_inverse(multiply(x,multiply(multiply(y,z),x))),add(multiply(x,multiply(multiply(y,z),x)),multiply(add(multiply(y,multiply(x,z)),additive_inverse(multiply(multiply(y,x),z))),x))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_946,c_12058]) ).

cnf(c_12060,plain,
    add(additive_inverse(multiply(x,multiply(multiply(y,z),x))),add(multiply(x,multiply(multiply(y,z),x)),add(multiply(multiply(y,multiply(x,z)),x),multiply(additive_inverse(multiply(multiply(y,x),z)),x)))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_9,c_12059]) ).

cnf(c_12061,plain,
    add(additive_inverse(multiply(x,multiply(multiply(y,z),x))),add(multiply(x,multiply(multiply(y,z),x)),add(multiply(multiply(y,multiply(x,z)),x),additive_inverse(multiply(multiply(multiply(y,x),z),x))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_83,c_12060]) ).

cnf(c_12062,plain,
    add(multiply(x,multiply(multiply(y,z),x)),add(additive_inverse(multiply(x,multiply(multiply(y,z),x))),add(multiply(multiply(y,multiply(x,z)),x),additive_inverse(multiply(multiply(multiply(y,x),z),x))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12061]) ).

cnf(c_1590,plain,
    add(multiply(multiply(y,multiply(x,z)),x),additive_inverse(multiply(multiply(multiply(y,x),z),x))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_25,c_12062]) ).

cnf(c_12063,plain,
    add(additive_inverse(add(multiply(A,multiply(B,B)),add(multiply(multiply(A,B),C),multiply(A,multiply(C,C))))),add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C)))))) = multiply(multiply(A,C),B),
    inference(paramod,[status(thm)],[c_108,c_38]) ).

cnf(c_12064,plain,
    add(add(additive_inverse(add(multiply(multiply(A,B),C),multiply(A,multiply(C,C)))),additive_inverse(multiply(A,multiply(B,B)))),add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C)))))) = multiply(multiply(A,C),B),
    inference(paramod,[status(thm)],[c_71,c_12063]) ).

cnf(c_12065,plain,
    add(add(add(additive_inverse(multiply(A,multiply(C,C))),additive_inverse(multiply(multiply(A,B),C))),additive_inverse(multiply(A,multiply(B,B)))),add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C)))))) = multiply(multiply(A,C),B),
    inference(paramod,[status(thm)],[c_71,c_12064]) ).

cnf(c_12066,plain,
    add(add(additive_inverse(multiply(A,multiply(B,B))),add(additive_inverse(multiply(A,multiply(C,C))),additive_inverse(multiply(multiply(A,B),C)))),add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C)))))) = multiply(multiply(A,C),B),
    inference(paramod,[status(thm)],[c_10,c_12065]) ).

cnf(c_12067,plain,
    add(multiply(A,multiply(B,B)),add(add(additive_inverse(multiply(A,multiply(B,B))),add(additive_inverse(multiply(A,multiply(C,C))),additive_inverse(multiply(multiply(A,B),C)))),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C)))))) = multiply(multiply(A,C),B),
    inference(paramod,[status(thm)],[c_27,c_12066]) ).

cnf(c_12068,plain,
    add(multiply(A,multiply(B,B)),add(additive_inverse(multiply(A,multiply(B,B))),add(add(additive_inverse(multiply(A,multiply(C,C))),additive_inverse(multiply(multiply(A,B),C))),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))))) = multiply(multiply(A,C),B),
    inference(paramod,[status(thm)],[c_12,c_12067]) ).

cnf(c_12069,plain,
    add(multiply(A,multiply(B,B)),add(additive_inverse(multiply(A,multiply(B,B))),add(additive_inverse(multiply(A,multiply(C,C))),add(additive_inverse(multiply(multiply(A,B),C)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C)))))))) = multiply(multiply(A,C),B),
    inference(paramod,[status(thm)],[c_12,c_12068]) ).

cnf(c_12070,plain,
    add(multiply(A,multiply(B,B)),add(additive_inverse(multiply(A,multiply(B,B))),add(additive_inverse(multiply(multiply(A,B),C)),add(multiply(A,multiply(C,B)),multiply(A,multiply(B,C)))))) = multiply(multiply(A,C),B),
    inference(paramod,[status(thm)],[c_116,c_12069]) ).

cnf(c_12071,plain,
    add(additive_inverse(multiply(multiply(A,B),C)),add(multiply(A,multiply(C,B)),multiply(A,multiply(B,C)))) = multiply(multiply(A,C),B),
    inference(paramod,[status(thm)],[c_25,c_12070]) ).

cnf(c_3135,plain,
    multiply(multiply(A,B),C) = add(additive_inverse(multiply(multiply(A,C),B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,B)))),
    inference(copy,[status(thm)],[c_12071]) ).

cnf(c_4644,plain,
    multiply(multiply(A,multiply(B,C)),C) = add(additive_inverse(multiply(multiply(A,C),multiply(B,C))),add(multiply(A,multiply(B,multiply(C,C))),multiply(A,multiply(C,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_13,c_3135]) ).

cnf(c_12072,plain,
    associator(A,B,C) = add(additive_inverse(multiply(A,multiply(B,C))),add(additive_inverse(multiply(multiply(A,C),B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,B))))),
    inference(paramod,[status(thm)],[c_3135,c_16]) ).

cnf(c_12073,plain,
    add(additive_inverse(multiply(A,multiply(B,C))),multiply(multiply(A,B),C)) = add(additive_inverse(multiply(A,multiply(B,C))),add(additive_inverse(multiply(multiply(A,C),B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,B))))),
    inference(paramod,[status(thm)],[c_16,c_12072]) ).

cnf(c_12074,plain,
    add(additive_inverse(multiply(A,multiply(B,C))),multiply(multiply(A,B),C)) = add(additive_inverse(multiply(multiply(A,C),B)),multiply(A,multiply(C,B))),
    inference(paramod,[status(thm)],[c_46,c_12073]) ).

cnf(c_4653,plain,
    add(additive_inverse(multiply(A,multiply(B,C))),multiply(multiply(A,B),C)) = add(multiply(A,multiply(C,B)),additive_inverse(multiply(multiply(A,C),B))),
    inference(paramod,[status(thm)],[c_10,c_12074]) ).

cnf(c_4656,plain,
    add(multiply(multiply(A,B),C),multiply(multiply(A,C),B)) = add(multiply(A,multiply(C,B)),multiply(A,multiply(B,C))),
    inference(paramod,[status(thm)],[c_3135,c_25]) ).

cnf(c_4714,plain,
    multiply(multiply(A,multiply(B,C)),B) = add(additive_inverse(multiply(multiply(A,B),multiply(B,C))),add(multiply(A,multiply(B,multiply(C,B))),multiply(A,multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_946,c_3135]) ).

cnf(c_12075,plain,
    add(multiply(multiply(y,multiply(x,z)),x),additive_inverse(multiply(add(additive_inverse(multiply(multiply(y,z),x)),add(multiply(y,multiply(x,z)),multiply(y,multiply(z,x)))),x))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_3135,c_1590]) ).

cnf(c_12076,plain,
    add(add(additive_inverse(multiply(multiply(y,x),multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),multiply(y,multiply(x,multiply(x,z))))),additive_inverse(multiply(add(additive_inverse(multiply(multiply(y,z),x)),add(multiply(y,multiply(x,z)),multiply(y,multiply(z,x)))),x))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_4714,c_12075]) ).

cnf(c_12077,plain,
    add(add(additive_inverse(multiply(multiply(y,x),multiply(x,z))),add(multiply(y,multiply(x,multiply(x,z))),multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(add(additive_inverse(multiply(multiply(y,z),x)),add(multiply(y,multiply(x,z)),multiply(y,multiply(z,x)))),x))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12076]) ).

cnf(c_12078,plain,
    add(add(add(multiply(y,multiply(x,multiply(x,z))),multiply(y,multiply(x,multiply(z,x)))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))),additive_inverse(multiply(add(additive_inverse(multiply(multiply(y,z),x)),add(multiply(y,multiply(x,z)),multiply(y,multiply(z,x)))),x))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12077]) ).

cnf(c_12079,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(multiply(add(additive_inverse(multiply(multiply(y,z),x)),add(multiply(y,multiply(x,z)),multiply(y,multiply(z,x)))),x))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_12,c_12078]) ).

cnf(c_12080,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(multiply(add(add(multiply(y,multiply(x,z)),multiply(y,multiply(z,x))),additive_inverse(multiply(multiply(y,z),x))),x))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12079]) ).

cnf(c_12081,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(multiply(add(multiply(y,multiply(x,z)),add(multiply(y,multiply(z,x)),additive_inverse(multiply(multiply(y,z),x)))),x))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_12,c_12080]) ).

cnf(c_12082,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(multiply(multiply(y,multiply(x,z)),x),multiply(add(multiply(y,multiply(z,x)),additive_inverse(multiply(multiply(y,z),x))),x)))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_9,c_12081]) ).

cnf(c_12083,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(add(additive_inverse(multiply(multiply(y,x),multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),multiply(y,multiply(x,multiply(x,z))))),multiply(add(multiply(y,multiply(z,x)),additive_inverse(multiply(multiply(y,z),x))),x)))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_4714,c_12082]) ).

cnf(c_12084,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(add(additive_inverse(multiply(multiply(y,x),multiply(x,z))),add(multiply(y,multiply(x,multiply(x,z))),multiply(y,multiply(x,multiply(z,x))))),multiply(add(multiply(y,multiply(z,x)),additive_inverse(multiply(multiply(y,z),x))),x)))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12083]) ).

cnf(c_12085,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(add(add(multiply(y,multiply(x,multiply(x,z))),multiply(y,multiply(x,multiply(z,x)))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))),multiply(add(multiply(y,multiply(z,x)),additive_inverse(multiply(multiply(y,z),x))),x)))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12084]) ).

cnf(c_12086,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),multiply(add(multiply(y,multiply(z,x)),additive_inverse(multiply(multiply(y,z),x))),x)))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_12,c_12085]) ).

cnf(c_12087,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(multiply(multiply(y,multiply(z,x)),x),multiply(additive_inverse(multiply(multiply(y,z),x)),x))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_9,c_12086]) ).

cnf(c_12088,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(additive_inverse(multiply(multiply(y,x),multiply(z,x))),add(multiply(y,multiply(z,multiply(x,x))),multiply(y,multiply(x,multiply(z,x))))),multiply(additive_inverse(multiply(multiply(y,z),x)),x))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_4644,c_12087]) ).

cnf(c_12089,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(additive_inverse(multiply(multiply(y,x),multiply(z,x))),add(multiply(y,multiply(x,multiply(z,x))),multiply(y,multiply(z,multiply(x,x))))),multiply(additive_inverse(multiply(multiply(y,z),x)),x))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12088]) ).

cnf(c_12090,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(add(multiply(y,multiply(x,multiply(z,x))),multiply(y,multiply(z,multiply(x,x)))),additive_inverse(multiply(multiply(y,x),multiply(z,x)))),multiply(additive_inverse(multiply(multiply(y,z),x)),x))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12089]) ).

cnf(c_12091,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(multiply(y,multiply(x,multiply(z,x))),add(multiply(y,multiply(z,multiply(x,x))),additive_inverse(multiply(multiply(y,x),multiply(z,x))))),multiply(additive_inverse(multiply(multiply(y,z),x)),x))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_12,c_12090]) ).

cnf(c_12092,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(multiply(y,multiply(x,multiply(z,x))),add(multiply(y,multiply(z,multiply(x,x))),additive_inverse(multiply(multiply(y,x),multiply(z,x))))),additive_inverse(multiply(multiply(multiply(y,z),x),x)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_83,c_12091]) ).

cnf(c_12093,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(multiply(y,multiply(x,multiply(z,x))),add(multiply(y,multiply(z,multiply(x,x))),additive_inverse(multiply(multiply(y,x),multiply(z,x))))),additive_inverse(multiply(multiply(y,z),multiply(x,x))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_13,c_12092]) ).

cnf(c_12094,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(multiply(y,multiply(x,multiply(z,x))),add(add(multiply(y,multiply(z,multiply(x,x))),additive_inverse(multiply(multiply(y,x),multiply(z,x)))),additive_inverse(multiply(multiply(y,z),multiply(x,x)))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_12,c_12093]) ).

cnf(c_12095,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(multiply(y,multiply(x,multiply(z,x))),add(multiply(y,multiply(z,multiply(x,x))),add(additive_inverse(multiply(multiply(y,x),multiply(z,x))),additive_inverse(multiply(multiply(y,z),multiply(x,x))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_12,c_12094]) ).

cnf(c_12096,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(multiply(y,multiply(x,multiply(z,x))),add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(multiply(y,multiply(z,multiply(x,x))),add(additive_inverse(multiply(multiply(y,x),multiply(z,x))),additive_inverse(multiply(multiply(y,z),multiply(x,x))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12095]) ).

cnf(c_12097,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(multiply(y,multiply(x,multiply(z,x))),add(multiply(y,multiply(z,multiply(x,x))),add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(additive_inverse(multiply(multiply(y,x),multiply(z,x))),additive_inverse(multiply(multiply(y,z),multiply(x,x))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12096]) ).

cnf(c_12098,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(multiply(y,multiply(x,multiply(z,x))),add(multiply(y,multiply(z,multiply(x,x))),add(multiply(y,multiply(x,multiply(x,z))),add(add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))),add(additive_inverse(multiply(multiply(y,x),multiply(z,x))),additive_inverse(multiply(multiply(y,z),multiply(x,x)))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_12,c_12097]) ).

cnf(c_12099,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(multiply(y,multiply(x,multiply(z,x))),add(multiply(y,multiply(z,multiply(x,x))),add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),add(additive_inverse(multiply(multiply(y,x),multiply(x,z))),add(additive_inverse(multiply(multiply(y,x),multiply(z,x))),additive_inverse(multiply(multiply(y,z),multiply(x,x))))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_12,c_12098]) ).

cnf(c_12100,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(multiply(y,multiply(x,multiply(z,x))),add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(z,multiply(x,x))),add(multiply(y,multiply(x,multiply(z,x))),add(additive_inverse(multiply(multiply(y,x),multiply(x,z))),add(additive_inverse(multiply(multiply(y,x),multiply(z,x))),additive_inverse(multiply(multiply(y,z),multiply(x,x))))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12099]) ).

cnf(c_12101,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(multiply(y,multiply(x,multiply(z,x))),add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),add(multiply(y,multiply(z,multiply(x,x))),add(additive_inverse(multiply(multiply(y,x),multiply(x,z))),add(additive_inverse(multiply(multiply(y,x),multiply(z,x))),additive_inverse(multiply(multiply(y,z),multiply(x,x))))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12100]) ).

cnf(c_12102,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),add(multiply(y,multiply(x,multiply(z,x))),add(multiply(y,multiply(z,multiply(x,x))),add(additive_inverse(multiply(multiply(y,x),multiply(x,z))),add(additive_inverse(multiply(multiply(y,x),multiply(z,x))),additive_inverse(multiply(multiply(y,z),multiply(x,x))))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12101]) ).

cnf(c_12103,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(additive_inverse(add(multiply(y,multiply(x,multiply(z,x))),add(multiply(y,multiply(x,multiply(z,x))),add(multiply(y,multiply(z,multiply(x,x))),add(additive_inverse(multiply(multiply(y,x),multiply(x,z))),add(additive_inverse(multiply(multiply(y,x),multiply(z,x))),additive_inverse(multiply(multiply(y,z),multiply(x,x))))))))),additive_inverse(multiply(y,multiply(x,multiply(x,z)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_71,c_12102]) ).

cnf(c_12104,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(additive_inverse(add(multiply(y,multiply(x,multiply(z,x))),add(multiply(y,multiply(z,multiply(x,x))),add(additive_inverse(multiply(multiply(y,x),multiply(x,z))),add(additive_inverse(multiply(multiply(y,x),multiply(z,x))),additive_inverse(multiply(multiply(y,z),multiply(x,x)))))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(x,z)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_71,c_12103]) ).

cnf(c_12105,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(add(additive_inverse(add(multiply(y,multiply(z,multiply(x,x))),add(additive_inverse(multiply(multiply(y,x),multiply(x,z))),add(additive_inverse(multiply(multiply(y,x),multiply(z,x))),additive_inverse(multiply(multiply(y,z),multiply(x,x))))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(x,z)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_71,c_12104]) ).

cnf(c_12106,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(add(add(additive_inverse(add(additive_inverse(multiply(multiply(y,x),multiply(x,z))),add(additive_inverse(multiply(multiply(y,x),multiply(z,x))),additive_inverse(multiply(multiply(y,z),multiply(x,x)))))),additive_inverse(multiply(y,multiply(z,multiply(x,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(x,z)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_71,c_12105]) ).

cnf(c_12107,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(add(add(add(additive_inverse(add(additive_inverse(multiply(multiply(y,x),multiply(z,x))),additive_inverse(multiply(multiply(y,z),multiply(x,x))))),additive_inverse(additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(multiply(y,multiply(z,multiply(x,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(x,z)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_71,c_12106]) ).

cnf(c_12108,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(add(add(add(add(additive_inverse(additive_inverse(multiply(multiply(y,z),multiply(x,x)))),additive_inverse(additive_inverse(multiply(multiply(y,x),multiply(z,x))))),additive_inverse(additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(multiply(y,multiply(z,multiply(x,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(x,z)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_71,c_12107]) ).

cnf(c_12109,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(add(add(add(add(multiply(multiply(y,z),multiply(x,x)),additive_inverse(additive_inverse(multiply(multiply(y,x),multiply(z,x))))),additive_inverse(additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(multiply(y,multiply(z,multiply(x,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(x,z)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_7,c_12108]) ).

cnf(c_12110,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(add(add(add(add(multiply(multiply(y,z),multiply(x,x)),multiply(multiply(y,x),multiply(z,x))),additive_inverse(additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(multiply(y,multiply(z,multiply(x,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(x,z)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_7,c_12109]) ).

cnf(c_12111,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(add(add(add(add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))),additive_inverse(additive_inverse(multiply(multiply(y,x),multiply(x,z))))),additive_inverse(multiply(y,multiply(z,multiply(x,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(x,z)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12110]) ).

cnf(c_12112,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(add(add(add(add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))),multiply(multiply(y,x),multiply(x,z))),additive_inverse(multiply(y,multiply(z,multiply(x,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(x,z)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_7,c_12111]) ).

cnf(c_12113,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(add(add(add(multiply(multiply(y,x),multiply(x,z)),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x)))),additive_inverse(multiply(y,multiply(z,multiply(x,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(x,z)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12112]) ).

cnf(c_12114,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(add(add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(multiply(y,x),multiply(x,z)),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(x,z)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12113]) ).

cnf(c_12115,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(multiply(y,x),multiply(x,z)),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x)))))),additive_inverse(multiply(y,multiply(x,multiply(z,x))))),additive_inverse(multiply(y,multiply(x,multiply(x,z)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12114]) ).

cnf(c_12116,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(multiply(y,x),multiply(x,z)),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))),additive_inverse(multiply(y,multiply(x,multiply(x,z)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12115]) ).

cnf(c_12117,plain,
    add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(multiply(y,x),multiply(x,z)),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12116]) ).

cnf(c_12118,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(multiply(y,x),multiply(x,z)),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12117]) ).

cnf(c_12119,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(multiply(y,x),multiply(x,z)),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12118]) ).

cnf(c_12120,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(multiply(y,x),multiply(x,z)),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12119]) ).

cnf(c_12121,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(multiply(multiply(y,x),multiply(x,z)),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12120]) ).

cnf(c_12122,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(multiply(y,x),multiply(x,z)),add(add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12121]) ).

cnf(c_12123,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(multiply(y,x),multiply(x,z)),add(multiply(y,multiply(x,multiply(x,z))),add(add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x)))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_12,c_12122]) ).

cnf(c_12124,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(multiply(y,x),multiply(x,z)),add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),add(additive_inverse(multiply(multiply(y,x),multiply(x,z))),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_12,c_12123]) ).

cnf(c_12125,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(y,multiply(x,multiply(x,z))),add(multiply(multiply(y,x),multiply(x,z)),add(multiply(y,multiply(x,multiply(z,x))),add(additive_inverse(multiply(multiply(y,x),multiply(x,z))),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12124]) ).

cnf(c_12126,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),add(multiply(multiply(y,x),multiply(x,z)),add(additive_inverse(multiply(multiply(y,x),multiply(x,z))),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12125]) ).

cnf(c_12127,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_25,c_12126]) ).

cnf(c_12128,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(multiply(y,multiply(x,multiply(x,z))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(y,multiply(x,multiply(z,x))),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12127]) ).

cnf(c_12129,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12128]) ).

cnf(c_12130,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(multiply(y,multiply(x,multiply(x,z))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(multiply(y,multiply(x,multiply(z,x))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12129]) ).

cnf(c_12131,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12130]) ).

cnf(c_12132,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(multiply(y,multiply(x,multiply(x,z))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_25,c_12131]) ).

cnf(c_12133,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(multiply(y,multiply(x,multiply(x,z))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12132]) ).

cnf(c_12134,plain,
    add(multiply(y,multiply(x,multiply(x,z))),add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12133]) ).

cnf(c_4810,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(multiply(y,x),multiply(z,x)),multiply(multiply(y,z),multiply(x,x))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_25,c_12134]) ).

cnf(c_12135,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(add(multiply(y,multiply(x,multiply(z,x))),add(multiply(x,multiply(y,multiply(z,x))),additive_inverse(multiply(multiply(x,y),multiply(z,x))))),multiply(multiply(y,z),multiply(x,x))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_760,c_4810]) ).

cnf(c_12136,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(add(multiply(x,multiply(y,multiply(z,x))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(x,y),multiply(z,x))))),multiply(multiply(y,z),multiply(x,x))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12135]) ).

cnf(c_12137,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(x,multiply(y,multiply(z,x))),add(add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(x,y),multiply(z,x)))),multiply(multiply(y,z),multiply(x,x)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_12,c_12136]) ).

cnf(c_12138,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(x,multiply(y,multiply(z,x))),add(multiply(y,multiply(x,multiply(z,x))),add(additive_inverse(multiply(multiply(x,y),multiply(z,x))),multiply(multiply(y,z),multiply(x,x))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_12,c_12137]) ).

cnf(c_12139,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(multiply(x,multiply(y,multiply(z,x))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(y,multiply(x,multiply(z,x))),add(additive_inverse(multiply(multiply(x,y),multiply(z,x))),multiply(multiply(y,z),multiply(x,x))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12138]) ).

cnf(c_12140,plain,
    add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(multiply(x,multiply(y,multiply(z,x))),add(multiply(y,multiply(x,multiply(z,x))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(additive_inverse(multiply(multiply(x,y),multiply(z,x))),multiply(multiply(y,z),multiply(x,x))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12139]) ).

cnf(c_12141,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(multiply(y,multiply(x,multiply(z,x))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(additive_inverse(multiply(multiply(x,y),multiply(z,x))),multiply(multiply(y,z),multiply(x,x))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12140]) ).

cnf(c_12142,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(multiply(y,multiply(x,multiply(z,x))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(additive_inverse(multiply(multiply(x,y),multiply(z,x))),multiply(multiply(y,z),multiply(x,x))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12141]) ).

cnf(c_6679,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(additive_inverse(multiply(multiply(x,y),multiply(z,x))),multiply(multiply(y,z),multiply(x,x))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_25,c_12142]) ).

cnf(c_12143,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(additive_inverse(multiply(multiply(x,y),multiply(z,x))),add(multiply(y,multiply(z,multiply(x,x))),add(multiply(z,multiply(y,multiply(x,x))),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_760,c_6679]) ).

cnf(c_12144,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(y,multiply(z,multiply(x,x))),add(additive_inverse(multiply(multiply(x,y),multiply(z,x))),add(multiply(z,multiply(y,multiply(x,x))),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12143]) ).

cnf(c_12145,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(y,multiply(z,multiply(x,x))),add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(multiply(x,y),multiply(z,x))),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12144]) ).

cnf(c_12146,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(multiply(y,multiply(z,multiply(x,x))),add(additive_inverse(multiply(y,multiply(z,multiply(x,x)))),add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(multiply(x,y),multiply(z,x))),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12145]) ).

cnf(c_8037,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(multiply(x,y),multiply(z,x))),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_25,c_12146]) ).

cnf(c_12147,plain,
    add(multiply(A,multiply(B,C)),multiply(A,multiply(C,B))) = add(multiply(multiply(A,B),C),multiply(multiply(A,C),B)),
    inference(paramod,[status(thm)],[c_4656,c_10]) ).

cnf(c_8057,plain,
    add(multiply(multiply(A,B),C),multiply(multiply(A,C),B)) = add(multiply(A,multiply(B,C)),multiply(A,multiply(C,B))),
    inference(copy,[status(thm)],[c_12147]) ).

cnf(c_12148,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(add(additive_inverse(multiply(multiply(x,multiply(z,x)),y)),add(multiply(x,multiply(y,multiply(z,x))),multiply(x,multiply(multiply(z,x),y))))),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_3135,c_8037]) ).

cnf(c_12149,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(add(add(multiply(x,multiply(y,multiply(z,x))),multiply(x,multiply(multiply(z,x),y))),additive_inverse(multiply(multiply(x,multiply(z,x)),y)))),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12148]) ).

cnf(c_12150,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(add(multiply(x,multiply(y,multiply(z,x))),add(multiply(x,multiply(multiply(z,x),y)),additive_inverse(multiply(multiply(x,multiply(z,x)),y))))),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_12,c_12149]) ).

cnf(c_12151,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(multiply(z,multiply(y,multiply(x,x))),add(add(additive_inverse(add(multiply(x,multiply(multiply(z,x),y)),additive_inverse(multiply(multiply(x,multiply(z,x)),y)))),additive_inverse(multiply(x,multiply(y,multiply(z,x))))),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_71,c_12150]) ).

cnf(c_12152,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(multiply(z,multiply(y,multiply(x,x))),add(add(add(additive_inverse(additive_inverse(multiply(multiply(x,multiply(z,x)),y))),additive_inverse(multiply(x,multiply(multiply(z,x),y)))),additive_inverse(multiply(x,multiply(y,multiply(z,x))))),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_71,c_12151]) ).

cnf(c_12153,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(multiply(z,multiply(y,multiply(x,x))),add(add(add(multiply(multiply(x,multiply(z,x)),y),additive_inverse(multiply(x,multiply(multiply(z,x),y)))),additive_inverse(multiply(x,multiply(y,multiply(z,x))))),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_7,c_12152]) ).

cnf(c_12154,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(multiply(z,multiply(y,multiply(x,x))),add(add(add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),multiply(multiply(x,multiply(z,x)),y)),additive_inverse(multiply(x,multiply(y,multiply(z,x))))),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12153]) ).

cnf(c_12155,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(multiply(z,multiply(y,multiply(x,x))),add(add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),multiply(multiply(x,multiply(z,x)),y))),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12154]) ).

cnf(c_12156,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),multiply(multiply(x,multiply(z,x)),y)),additive_inverse(multiply(multiply(z,y),multiply(x,x))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_12,c_12155]) ).

cnf(c_12157,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(multiply(x,multiply(z,x)),y),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_12,c_12156]) ).

cnf(c_12158,plain,
    add(multiply(x,multiply(y,multiply(z,x))),add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(multiply(x,multiply(z,x)),y),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12157]) ).

cnf(c_9691,plain,
    add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(multiply(x,multiply(z,x)),y),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_25,c_12158]) ).

cnf(c_12159,plain,
    add(multiply(additive_inverse(multiply(A,B)),C),multiply(multiply(A,C),additive_inverse(B))) = add(multiply(A,multiply(additive_inverse(B),C)),multiply(A,multiply(C,additive_inverse(B)))),
    inference(paramod,[status(thm)],[c_72,c_8057]) ).

cnf(c_12160,plain,
    add(additive_inverse(multiply(multiply(A,B),C)),multiply(multiply(A,C),additive_inverse(B))) = add(multiply(A,multiply(additive_inverse(B),C)),multiply(A,multiply(C,additive_inverse(B)))),
    inference(paramod,[status(thm)],[c_83,c_12159]) ).

cnf(c_12161,plain,
    add(additive_inverse(multiply(multiply(A,B),C)),additive_inverse(multiply(multiply(A,C),B))) = add(multiply(A,multiply(additive_inverse(B),C)),multiply(A,multiply(C,additive_inverse(B)))),
    inference(paramod,[status(thm)],[c_72,c_12160]) ).

cnf(c_12162,plain,
    add(additive_inverse(multiply(multiply(A,B),C)),additive_inverse(multiply(multiply(A,C),B))) = add(multiply(A,additive_inverse(multiply(B,C))),multiply(A,multiply(C,additive_inverse(B)))),
    inference(paramod,[status(thm)],[c_83,c_12161]) ).

cnf(c_12163,plain,
    add(additive_inverse(multiply(multiply(A,B),C)),additive_inverse(multiply(multiply(A,C),B))) = add(additive_inverse(multiply(A,multiply(B,C))),multiply(A,multiply(C,additive_inverse(B)))),
    inference(paramod,[status(thm)],[c_72,c_12162]) ).

cnf(c_12164,plain,
    add(additive_inverse(multiply(multiply(A,B),C)),additive_inverse(multiply(multiply(A,C),B))) = add(additive_inverse(multiply(A,multiply(B,C))),multiply(A,additive_inverse(multiply(C,B)))),
    inference(paramod,[status(thm)],[c_72,c_12163]) ).

cnf(c_11708,plain,
    add(additive_inverse(multiply(multiply(A,B),C)),additive_inverse(multiply(multiply(A,C),B))) = add(additive_inverse(multiply(A,multiply(B,C))),additive_inverse(multiply(A,multiply(C,B)))),
    inference(paramod,[status(thm)],[c_72,c_12164]) ).

cnf(c_12165,plain,
    add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(multiply(x,multiply(multiply(z,x),y)),add(multiply(multiply(z,x),multiply(x,y)),additive_inverse(multiply(multiply(multiply(z,x),x),y)))),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_760,c_9691]) ).

cnf(c_12166,plain,
    add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(multiply(x,multiply(multiply(z,x),y)),add(multiply(multiply(z,x),multiply(x,y)),additive_inverse(multiply(multiply(z,multiply(x,x)),y)))),additive_inverse(multiply(multiply(z,y),multiply(x,x)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_13,c_12165]) ).

cnf(c_12167,plain,
    add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(multiply(z,y),multiply(x,x))),add(multiply(x,multiply(multiply(z,x),y)),add(multiply(multiply(z,x),multiply(x,y)),additive_inverse(multiply(multiply(z,multiply(x,x)),y))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12166]) ).

cnf(c_12168,plain,
    add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(multiply(z,x),y)),add(additive_inverse(multiply(multiply(z,y),multiply(x,x))),add(multiply(multiply(z,x),multiply(x,y)),additive_inverse(multiply(multiply(z,multiply(x,x)),y))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12167]) ).

cnf(c_12169,plain,
    add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(multiply(z,x),y)),add(multiply(multiply(z,x),multiply(x,y)),add(additive_inverse(multiply(multiply(z,y),multiply(x,x))),additive_inverse(multiply(multiply(z,multiply(x,x)),y))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12168]) ).

cnf(c_12170,plain,
    add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(multiply(z,x),y)),add(multiply(multiply(z,x),multiply(x,y)),add(additive_inverse(multiply(z,multiply(y,multiply(x,x)))),additive_inverse(multiply(z,multiply(multiply(x,x),y)))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_11708,c_12169]) ).

cnf(c_12171,plain,
    add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(multiply(z,x),y)),add(multiply(multiply(z,x),multiply(x,y)),add(additive_inverse(multiply(z,multiply(y,multiply(x,x)))),additive_inverse(multiply(z,multiply(x,multiply(x,y))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_14,c_12170]) ).

cnf(c_12172,plain,
    add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(multiply(z,x),y)),add(multiply(multiply(z,x),multiply(x,y)),add(additive_inverse(multiply(z,multiply(x,multiply(x,y)))),additive_inverse(multiply(z,multiply(y,multiply(x,x))))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12171]) ).

cnf(c_12173,plain,
    add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(multiply(z,x),y)),add(add(additive_inverse(multiply(z,multiply(x,multiply(x,y)))),additive_inverse(multiply(z,multiply(y,multiply(x,x))))),multiply(multiply(z,x),multiply(x,y)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_10,c_12172]) ).

cnf(c_12174,plain,
    add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(multiply(z,x),y)),add(additive_inverse(multiply(z,multiply(x,multiply(x,y)))),add(additive_inverse(multiply(z,multiply(y,multiply(x,x)))),multiply(multiply(z,x),multiply(x,y))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_12,c_12173]) ).

cnf(c_12175,plain,
    add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(z,multiply(x,multiply(x,y)))),add(multiply(x,multiply(multiply(z,x),y)),add(additive_inverse(multiply(z,multiply(y,multiply(x,x)))),multiply(multiply(z,x),multiply(x,y))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12174]) ).

cnf(c_12176,plain,
    add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(z,multiply(x,multiply(x,y)))),add(additive_inverse(multiply(z,multiply(y,multiply(x,x)))),add(multiply(x,multiply(multiply(z,x),y)),multiply(multiply(z,x),multiply(x,y))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12175]) ).

cnf(c_12177,plain,
    add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(z,multiply(x,multiply(x,y)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(z,multiply(y,multiply(x,x)))),add(multiply(x,multiply(multiply(z,x),y)),multiply(multiply(z,x),multiply(x,y))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12176]) ).

cnf(c_12178,plain,
    add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(z,multiply(x,multiply(x,y)))),add(additive_inverse(multiply(z,multiply(y,multiply(x,x)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(multiply(z,x),y)),multiply(multiply(z,x),multiply(x,y))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12177]) ).

cnf(c_12179,plain,
    add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(z,multiply(x,multiply(x,y)))),add(additive_inverse(multiply(z,multiply(y,multiply(x,x)))),add(multiply(x,multiply(multiply(z,x),y)),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),multiply(multiply(z,x),multiply(x,y))))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12178]) ).

cnf(c_12180,plain,
    add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(z,multiply(x,multiply(x,y)))),add(additive_inverse(multiply(z,multiply(y,multiply(x,x)))),multiply(multiply(z,x),multiply(x,y))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_25,c_12179]) ).

cnf(c_12181,plain,
    add(additive_inverse(multiply(z,multiply(x,multiply(x,y)))),add(multiply(z,multiply(y,multiply(x,x))),add(additive_inverse(multiply(z,multiply(y,multiply(x,x)))),multiply(multiply(z,x),multiply(x,y))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12180]) ).

cnf(c_11986,plain,
    add(additive_inverse(multiply(z,multiply(x,multiply(x,y)))),multiply(multiply(z,x),multiply(x,y))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_25,c_12181]) ).

cnf(c_12182,plain,
    add(additive_inverse(multiply(z,multiply(x,multiply(x,y)))),add(multiply(z,multiply(x,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),additive_inverse(multiply(multiply(x,z),multiply(x,y)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_760,c_11986]) ).

cnf(c_12183,plain,
    add(additive_inverse(multiply(z,multiply(x,multiply(x,y)))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(z,multiply(x,multiply(x,y))),additive_inverse(multiply(multiply(x,z),multiply(x,y)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12182]) ).

cnf(c_12184,plain,
    add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(z,multiply(x,multiply(x,y)))),add(multiply(z,multiply(x,multiply(x,y))),additive_inverse(multiply(multiply(x,z),multiply(x,y)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12183]) ).

cnf(c_12185,plain,
    add(multiply(x,multiply(z,multiply(x,y))),add(multiply(z,multiply(x,multiply(x,y))),add(additive_inverse(multiply(z,multiply(x,multiply(x,y)))),additive_inverse(multiply(multiply(x,z),multiply(x,y)))))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_27,c_12184]) ).

cnf(c_12186,plain,
    add(multiply(x,multiply(z,multiply(x,y))),additive_inverse(multiply(multiply(x,z),multiply(x,y)))) != add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)),
    inference(paramod,[status(thm)],[c_25,c_12185]) ).

cnf(c_11991,plain,
    add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)) != add(multiply(x,multiply(z,multiply(x,y))),additive_inverse(multiply(multiply(x,z),multiply(x,y)))),
    inference(copy,[status(thm)],[c_12186]) ).

cnf(c_11992,plain,
    $false,
    inference(resolve,[status(thm)],[c_11991,c_4653]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : RNG027-8 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43  % Computer : n017.cluster.edu
% 0.17/0.43  % Model    : x86_64 x86_64
% 0.17/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43  % Memory   : 8046.5625MB
% 0.17/0.43  % OS       : Linux 6.8.0-71-generic
% 0.17/0.43  % CPULimit : 300
% 0.17/0.43  % WCLimit  : 300
% 0.17/0.43  % DateTime : Sat Sep 26 05:43:18 UTC 2026
% 0.17/0.43  % CPUTime  : 
% 0.17/0.44  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.44  % Process 4176418 was started by sandbox2 on n017,
% 0.17/0.44  % Sat Sep 26 05:43:18 2026
% 0.17/0.44  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.44  
% 0.17/0.44  % From the command line: assign(max_seconds, 300).
% 190.28/25.68  
% 190.28/25.68  % SZS status Unsatisfiable for theBenchmark
% 190.28/25.68  
% 190.28/25.68  % Proof 1 at 23.87 (+ 1.08) seconds.
% 190.28/25.68  % Length of proof is 58.
% 190.28/25.68  % Level of proof is 21.
% 190.28/25.68  % Maximum clause weight is 50.000.
% 190.28/25.68  % Given clauses 255.
% 190.28/25.68  
% 190.28/25.68  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------