TSTP Solution File: BOO031-1 by MaedMax---1.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : BOO031-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Jul 26 06:57:49 EDT 2022

% Result   : Unsatisfiable 30.73s 30.98s
% Output   : CNFRefutation 30.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   10
% Syntax   : Number of clauses     :  130 ( 130 unt;   0 nHn;  22 RR)
%            Number of literals    :  130 ( 129 equ;  18 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-2 aty)
%            Number of variables   :  262 (  88 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    multiply(add(X,Y),multiply(add(Y,Z),add(Z,X))) = add(multiply(X,Y),add(multiply(Y,Z),multiply(Z,X))),
    file('/tmp/MaedMax_32159') ).

cnf(eq_1,axiom,
    X = add(X,multiply(Y,multiply(X,Z))),
    file('/tmp/MaedMax_32159') ).

cnf(eq_2,axiom,
    X = multiply(add(Y,inverse(Y)),X),
    file('/tmp/MaedMax_32159') ).

cnf(eq_3,axiom,
    X = multiply(X,add(Y,add(X,Z))),
    file('/tmp/MaedMax_32159') ).

cnf(eq_4,axiom,
    X = add(multiply(Y,inverse(Y)),X),
    file('/tmp/MaedMax_32159') ).

cnf(eq_5,axiom,
    add(X,inverse(X)) = n1,
    file('/tmp/MaedMax_32159') ).

cnf(eq_6,axiom,
    multiply(X,inverse(X)) = n0,
    file('/tmp/MaedMax_32159') ).

cnf(eq_7,axiom,
    add(X,add(Y,Z)) = add(add(X,Y),Z),
    file('/tmp/MaedMax_32159') ).

cnf(eq_8,axiom,
    multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
    file('/tmp/MaedMax_32159') ).

cnf(eq_9,negated_conjecture,
    multiply(a,add(b,c)) != add(multiply(b,a),multiply(c,a)),
    file('/tmp/MaedMax_32159') ).

cnf(eq_10,plain,
    X = add(n0,X),
    inference(rw,[status(thm)],[eq_4,eq_6]) ).

cnf(eq_11,plain,
    X = multiply(n1,X),
    inference(rw,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_12,plain,
    multiply(x100,add(X,add(Y,add(x100,x102)))) = x100,
    inference(cp,[status(thm)],[eq_7,eq_3]) ).

cnf(eq_13,plain,
    multiply(add(X,Y),add(x101,add(X,add(Y,Z)))) = add(X,Y),
    inference(cp,[status(thm)],[eq_7,eq_3]) ).

cnf(eq_14,plain,
    multiply(X,add(x101,X)) = X,
    inference(cp,[status(thm)],[eq_1,eq_3]) ).

cnf(eq_15,plain,
    multiply(X,add(x101,n1)) = X,
    inference(cp,[status(thm)],[eq_5,eq_3]) ).

cnf(eq_16,plain,
    multiply(X,multiply(Y,inverse(multiply(X,Y)))) = n0,
    inference(cp,[status(thm)],[eq_8,eq_6]) ).

cnf(eq_17,plain,
    multiply(n0,x102) = multiply(X,multiply(inverse(X),x102)),
    inference(cp,[status(thm)],[eq_6,eq_8]) ).

cnf(eq_18,plain,
    add(add(Y,Z),add(multiply(X,Y),add(multiply(Y,Z),multiply(Z,X)))) = add(Y,Z),
    inference(cp,[status(thm)],[eq_0,eq_1]) ).

cnf(eq_19,plain,
    add(x100,multiply(X,multiply(Y,multiply(x100,x102)))) = x100,
    inference(cp,[status(thm)],[eq_8,eq_1]) ).

cnf(eq_20,plain,
    add(add(X,Y),multiply(x101,add(multiply(X,Y),add(multiply(Y,Z),multiply(Z,X))))) = add(X,Y),
    inference(cp,[status(thm)],[eq_0,eq_1]) ).

cnf(eq_21,plain,
    add(X,multiply(x101,X)) = X,
    inference(cp,[status(thm)],[eq_3,eq_1]) ).

cnf(eq_22,plain,
    add(X,multiply(x101,n0)) = X,
    inference(cp,[status(thm)],[eq_6,eq_1]) ).

cnf(eq_23,plain,
    X = add(X,multiply(Y,multiply(Z,multiply(X,x3)))),
    eq_19 ).

cnf(eq_24,plain,
    X = multiply(X,add(Y,add(Z,add(X,x3)))),
    eq_12 ).

cnf(eq_25,plain,
    add(X,Y) = add(X,add(Y,multiply(Z,add(multiply(X,Y),add(multiply(Y,x3),multiply(x3,X)))))),
    inference(rw,[status(thm)],[eq_20,eq_7]) ).

cnf(eq_26,plain,
    X = multiply(X,add(Y,X)),
    eq_14 ).

cnf(eq_27,plain,
    add(X,Y) = add(X,add(Y,add(multiply(Z,X),add(multiply(X,Y),multiply(Y,Z))))),
    inference(rw,[status(thm)],[eq_18,eq_7]) ).

cnf(eq_28,plain,
    X = add(X,multiply(Y,X)),
    eq_21 ).

cnf(eq_29,plain,
    X = multiply(X,add(Y,n1)),
    eq_15 ).

cnf(eq_30,plain,
    multiply(add(X,Y),add(Z,add(X,add(Y,x3)))) = add(X,Y),
    eq_13 ).

cnf(eq_31,plain,
    X = add(X,multiply(Y,n0)),
    eq_22 ).

cnf(eq_32,plain,
    multiply(X,multiply(inverse(X),Y)) = multiply(n0,Y),
    eq_17 ).

cnf(eq_33,plain,
    multiply(x100,add(x100,x102)) = x100,
    inference(cp,[status(thm)],[eq_10,eq_3]) ).

cnf(eq_34,plain,
    multiply(X,x102) = multiply(X,multiply(add(Y,X),x102)),
    inference(cp,[status(thm)],[eq_26,eq_8]) ).

cnf(eq_35,plain,
    add(x100,multiply(x100,x102)) = x100,
    inference(cp,[status(thm)],[eq_11,eq_1]) ).

cnf(eq_36,plain,
    add(Y,n0) = Y,
    inference(cp,[status(thm)],[eq_16,eq_1]) ).

cnf(eq_37,plain,
    add(X,x102) = add(X,add(multiply(Y,X),x102)),
    inference(cp,[status(thm)],[eq_28,eq_7]) ).

cnf(eq_38,plain,
    multiply(Z,add(X,add(Y,Z))) = Z,
    inference(cp,[status(thm)],[eq_7,eq_26]) ).

cnf(eq_39,plain,
    multiply(X,X) = X,
    inference(cp,[status(thm)],[eq_10,eq_26]) ).

cnf(eq_40,plain,
    multiply(x100,n1) = x100,
    inference(cp,[status(thm)],[eq_10,eq_29]) ).

cnf(eq_41,plain,
    n1 = add(Y,n1),
    inference(cp,[status(thm)],[eq_29,eq_11]) ).

cnf(eq_42,plain,
    add(Z,multiply(X,multiply(Y,Z))) = Z,
    inference(cp,[status(thm)],[eq_8,eq_28]) ).

cnf(eq_43,plain,
    n0 = multiply(Y,n0),
    inference(cp,[status(thm)],[eq_31,eq_10]) ).

cnf(eq_44,plain,
    X = multiply(X,add(Y,add(Z,X))),
    eq_38 ).

cnf(eq_45,plain,
    add(X,n1) = n1,
    eq_41 ).

cnf(eq_46,plain,
    multiply(X,Y) = multiply(X,multiply(add(Z,X),Y)),
    eq_34 ).

cnf(eq_47,plain,
    add(X,Y) = add(X,add(multiply(Z,X),Y)),
    eq_37 ).

cnf(eq_48,plain,
    X = add(X,multiply(Y,multiply(Z,X))),
    eq_42 ).

cnf(eq_49,plain,
    X = multiply(X,n1),
    eq_40 ).

cnf(eq_50,plain,
    X = multiply(X,add(X,Y)),
    eq_33 ).

cnf(eq_51,plain,
    X = add(X,n0),
    eq_36 ).

cnf(eq_52,plain,
    multiply(X,n0) = n0,
    eq_43 ).

cnf(eq_53,plain,
    X = add(X,multiply(X,Y)),
    eq_35 ).

cnf(eq_54,plain,
    multiply(n0,X) = n0,
    inference(cp,[status(thm)],[eq_51,eq_26]) ).

cnf(eq_55,plain,
    multiply(X,multiply(add(multiply(Y,X),x102),add(x102,X))) = add(multiply(X,multiply(Y,X)),add(multiply(multiply(Y,X),x102),multiply(x102,X))),
    inference(cp,[status(thm)],[eq_28,eq_0]) ).

cnf(eq_56,plain,
    multiply(add(x100,n0),multiply(X,add(X,x100))) = add(multiply(x100,n0),add(multiply(n0,X),multiply(X,x100))),
    inference(cp,[status(thm)],[eq_10,eq_0]) ).

cnf(eq_57,plain,
    add(n1,X) = n1,
    inference(cp,[status(thm)],[eq_49,eq_28]) ).

cnf(eq_58,plain,
    multiply(X,multiply(add(multiply(Y,X),Z),add(Z,X))) = add(multiply(X,multiply(Y,X)),add(multiply(Y,multiply(X,Z)),multiply(Z,X))),
    inference(rw,[status(thm)],[eq_55,eq_8]) ).

cnf(eq_59,plain,
    multiply(multiply(X,Y),X) = multiply(X,Y),
    inference(cp,[status(thm)],[eq_53,eq_26]) ).

cnf(eq_60,plain,
    multiply(X,x102) = multiply(X,multiply(add(X,Y),x102)),
    inference(cp,[status(thm)],[eq_50,eq_8]) ).

cnf(eq_61,plain,
    multiply(X,Y) = multiply(X,multiply(add(X,Z),Y)),
    eq_60 ).

cnf(eq_62,plain,
    multiply(X,Y) = multiply(X,multiply(Y,X)),
    inference(rw,[status(thm)],[eq_59,eq_8]) ).

cnf(eq_63,plain,
    multiply(add(x100,n1),multiply(n1,add(X,x100))) = add(multiply(x100,n1),add(multiply(n1,X),multiply(X,x100))),
    inference(cp,[status(thm)],[eq_57,eq_0]) ).

cnf(eq_64,plain,
    add(X,Y) = add(Y,X),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_63,eq_45]),eq_11]),eq_11]),eq_49]),eq_11]),eq_53]) ).

cnf(eq_65,plain,
    multiply(X,multiply(inverse(X),Y)) = n0,
    inference(rw,[status(thm)],[eq_32,eq_54]) ).

cnf(eq_66,plain,
    add(add(Y,X),x102) = add(X,add(Y,x102)),
    inference(cp,[status(thm)],[eq_64,eq_7]) ).

cnf(eq_67,plain,
    X = add(multiply(Y,X),X),
    inference(cp,[status(thm)],[eq_28,eq_64]) ).

cnf(eq_68,plain,
    multiply(X,Y) = multiply(Y,X),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_51]),eq_50]),eq_52]),eq_54]),eq_10]),eq_10]) ).

cnf(eq_69,plain,
    add(X,add(Y,Z)) = add(Y,add(X,Z)),
    inference(rw,[status(thm)],[eq_66,eq_7]) ).

cnf(eq_70,plain,
    multiply(multiply(inverse(Y),x101),Y) = n0,
    inference(cp,[status(thm)],[eq_68,eq_65]) ).

cnf(eq_71,plain,
    multiply(multiply(X,Y),x102) = multiply(Y,multiply(X,x102)),
    inference(cp,[status(thm)],[eq_68,eq_8]) ).

cnf(eq_72,plain,
    multiply(add(x100,multiply(Y,X)),multiply(X,add(X,x100))) = add(multiply(x100,multiply(Y,X)),add(multiply(multiply(Y,X),X),multiply(X,x100))),
    inference(cp,[status(thm)],[eq_67,eq_0]) ).

cnf(eq_73,plain,
    multiply(add(X,x101),multiply(add(x101,multiply(Y,X)),X)) = add(multiply(X,x101),add(multiply(x101,multiply(Y,X)),multiply(multiply(Y,X),X))),
    inference(cp,[status(thm)],[eq_67,eq_0]) ).

cnf(eq_74,plain,
    add(add(X,Y),multiply(x101,X)) = add(X,Y),
    inference(cp,[status(thm)],[eq_50,eq_48]) ).

cnf(eq_75,plain,
    add(X,Y) = add(X,add(Y,multiply(Z,X))),
    inference(rw,[status(thm)],[eq_74,eq_7]) ).

cnf(eq_76,plain,
    multiply(inverse(X),multiply(Y,X)) = n0,
    inference(rw,[status(thm)],[eq_70,eq_8]) ).

cnf(eq_77,plain,
    multiply(X,multiply(Y,Z)) = multiply(Y,multiply(X,Z)),
    inference(rw,[status(thm)],[eq_71,eq_8]) ).

cnf(eq_78,plain,
    add(multiply(Y,X),multiply(x101,multiply(X,Y))) = multiply(Y,X),
    inference(cp,[status(thm)],[eq_62,eq_48]) ).

cnf(eq_79,plain,
    multiply(X,Y) = multiply(Y,multiply(X,Y)),
    inference(cp,[status(thm)],[eq_68,eq_62]) ).

cnf(eq_80,plain,
    multiply(X,Y) = add(multiply(X,Y),multiply(Z,multiply(Y,X))),
    eq_78 ).

cnf(eq_81,plain,
    multiply(X,x102) = multiply(X,multiply(add(Y,add(Z,add(X,x3))),x102)),
    inference(cp,[status(thm)],[eq_24,eq_8]) ).

cnf(eq_82,plain,
    multiply(X,multiply(add(X,Y),add(Y,multiply(Z,X)))) = add(multiply(X,Y),multiply(Z,X)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_73,eq_68]),eq_77]),eq_8]),eq_39]),eq_67]) ).

cnf(eq_83,plain,
    multiply(X,Y) = multiply(X,multiply(add(Z,add(x3,add(X,x4))),Y)),
    eq_81 ).

cnf(eq_84,plain,
    multiply(inverse(add(Y,add(Z,X))),X) = n0,
    inference(cp,[status(thm)],[eq_44,eq_76]) ).

cnf(eq_85,plain,
    multiply(X,inverse(add(Y,add(Z,X)))) = n0,
    inference(rw,[status(thm)],[eq_84,eq_68]) ).

cnf(eq_86,plain,
    multiply(Y,inverse(add(X,Y))) = n0,
    inference(cp,[status(thm)],[eq_47,eq_85]) ).

cnf(eq_87,plain,
    add(add(multiply(x101,X),x102),X) = add(X,x102),
    inference(cp,[status(thm)],[eq_64,eq_47]) ).

cnf(eq_88,plain,
    add(X,Y) = add(multiply(Z,X),add(Y,X)),
    inference(rw,[status(thm)],[eq_87,eq_7]) ).

cnf(eq_89,plain,
    multiply(X,inverse(add(Y,X))) = n0,
    eq_86 ).

cnf(eq_90,plain,
    multiply(n0,x102) = multiply(X,multiply(inverse(add(Y,X)),x102)),
    inference(cp,[status(thm)],[eq_89,eq_8]) ).

cnf(eq_91,plain,
    add(X,add(Y,multiply(x101,multiply(x102,multiply(add(X,Y),x103))))) = add(X,Y),
    inference(cp,[status(thm)],[eq_7,eq_23]) ).

cnf(eq_92,plain,
    multiply(X,multiply(inverse(add(Y,X)),Z)) = n0,
    inference(rw,[status(thm)],[eq_90,eq_54]) ).

cnf(eq_93,plain,
    n0 = multiply(multiply(inverse(add(Y,X)),Z),X),
    inference(cp,[status(thm)],[eq_92,eq_68]) ).

cnf(eq_94,plain,
    multiply(inverse(add(X,Y)),multiply(Z,Y)) = n0,
    inference(rw,[status(thm)],[eq_93,eq_8]) ).

cnf(eq_95,plain,
    multiply(x100,multiply(X,add(x100,x101))) = multiply(x100,X),
    inference(cp,[status(thm)],[eq_68,eq_61]) ).

cnf(eq_96,plain,
    add(n0,add(x102,multiply(Z,Y))) = add(multiply(Z,Y),x102),
    inference(cp,[status(thm)],[eq_94,eq_88]) ).

cnf(eq_97,plain,
    multiply(X,Y) = multiply(X,multiply(Y,add(X,Z))),
    eq_95 ).

cnf(eq_98,negated_conjecture,
    add(multiply(b,a),multiply(c,multiply(add(c,Z),a))) != multiply(a,add(b,c)),
    inference(cp,[status(thm)],[eq_61,eq_9]) ).

cnf(eq_99,plain,
    add(X,multiply(Y,Z)) = add(multiply(Y,Z),X),
    inference(rw,[status(thm)],[eq_96,eq_10]) ).

cnf(eq_100,plain,
    add(X,Y) = add(X,add(Y,multiply(Z,multiply(x3,multiply(add(X,Y),x4))))),
    eq_91 ).

cnf(eq_101,plain,
    add(multiply(X,Y),x102) = add(x102,multiply(Y,X)),
    inference(cp,[status(thm)],[eq_68,eq_99]) ).

cnf(eq_102,plain,
    add(X,multiply(Y,Z)) = add(multiply(Z,Y),X),
    eq_101 ).

cnf(eq_103,plain,
    multiply(X,add(Y,multiply(Z,X))) = add(multiply(Z,X),multiply(X,Y)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_72,eq_50]),eq_68]),eq_8]),eq_39]),eq_69]),eq_64]),eq_75]) ).

cnf(eq_104,negated_conjecture,
    multiply(a,add(c,b)) != add(multiply(b,a),multiply(c,multiply(a,add(c,X)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_98,eq_68]),eq_64]) ).

cnf(eq_105,plain,
    multiply(add(Y,multiply(Z,X)),add(X,Y)) = add(Y,multiply(Z,X)),
    inference(cp,[status(thm)],[eq_27,eq_30]) ).

cnf(eq_106,plain,
    multiply(add(X,Y),add(Y,multiply(Z,X))) = add(Y,multiply(Z,X)),
    inference(rw,[status(thm)],[eq_105,eq_68]) ).

cnf(eq_107,negated_conjecture,
    add(multiply(b,a),multiply(c,multiply(a,multiply(add(Z,add(x3,add(a,x4))),add(c,x100))))) != multiply(a,add(c,b)),
    inference(cp,[status(thm)],[eq_83,eq_104]) ).

cnf(eq_108,negated_conjecture,
    multiply(a,add(c,b)) != add(multiply(a,b),multiply(a,multiply(c,add(X,add(Y,add(a,Z)))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_107,eq_68]),eq_77]),eq_97]) ).

cnf(eq_109,negated_conjecture,
    add(multiply(a,b),multiply(a,multiply(c,add(x100,add(add(a,x102),X))))) != multiply(a,add(c,b)),
    inference(cp,[status(thm)],[eq_64,eq_108]) ).

cnf(eq_110,negated_conjecture,
    multiply(a,add(c,b)) != add(multiply(a,b),multiply(a,multiply(c,add(X,add(a,add(Y,Z)))))),
    inference(rw,[status(thm)],[eq_109,eq_7]) ).

cnf(eq_111,negated_conjecture,
    add(multiply(a,b),multiply(a,multiply(c,add(x100,add(a,Y))))) != multiply(a,add(c,b)),
    inference(cp,[status(thm)],[eq_100,eq_110]) ).

cnf(eq_112,negated_conjecture,
    multiply(a,add(c,b)) != add(multiply(a,b),multiply(a,multiply(c,add(X,add(a,Y))))),
    eq_111 ).

cnf(eq_113,plain,
    multiply(X,add(Y,multiply(Z,X))) = add(multiply(X,Y),multiply(Z,X)),
    inference(rw,[status(thm)],[eq_82,eq_106]) ).

cnf(eq_114,plain,
    multiply(X,add(Y,multiply(Z,X))) = add(multiply(Z,X),multiply(Y,X)),
    inference(cp,[status(thm)],[eq_113,eq_102]) ).

cnf(eq_115,negated_conjecture,
    multiply(a,add(b,c)) != add(multiply(b,a),multiply(a,multiply(c,add(X,add(a,Y))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_112,eq_64]),eq_68]) ).

cnf(eq_116,negated_conjecture,
    multiply(a,add(multiply(c,add(x100,add(a,x101))),multiply(b,a))) != multiply(a,add(b,c)),
    inference(cp,[status(thm)],[eq_103,eq_115]) ).

cnf(eq_117,negated_conjecture,
    multiply(a,add(multiply(b,a),multiply(c,add(X,add(a,Y))))) != multiply(a,add(b,c)),
    inference(rw,[status(thm)],[eq_116,eq_64]) ).

cnf(eq_118,plain,
    add(X,Y) = add(X,add(Y,multiply(Z,add(multiply(X,Y),multiply(x3,add(X,multiply(Y,x3))))))),
    inference(rw,[status(thm)],[eq_25,eq_103]) ).

cnf(eq_119,negated_conjecture,
    multiply(a,add(multiply(b,a),multiply(c,add(add(a,x101),X)))) != multiply(a,add(b,c)),
    inference(cp,[status(thm)],[eq_64,eq_117]) ).

cnf(eq_120,negated_conjecture,
    multiply(a,add(multiply(b,a),multiply(c,add(a,add(X,Y))))) != multiply(a,add(b,c)),
    inference(rw,[status(thm)],[eq_119,eq_7]) ).

cnf(eq_121,negated_conjecture,
    multiply(a,add(multiply(b,a),multiply(c,add(a,Y)))) != multiply(a,add(b,c)),
    inference(cp,[status(thm)],[eq_118,eq_120]) ).

cnf(eq_122,negated_conjecture,
    multiply(a,add(multiply(b,a),multiply(c,add(a,X)))) != multiply(a,add(b,c)),
    eq_121 ).

cnf(eq_123,plain,
    multiply(X,add(Y,multiply(Z,X))) = multiply(X,add(multiply(Y,X),Z)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_68]),eq_46]),eq_62]),eq_64]),eq_80]),eq_113]) ).

cnf(eq_124,plain,
    multiply(X,add(Y,multiply(Z,X))) = multiply(X,add(multiply(Z,X),Y)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_68]),eq_46]),eq_79]),eq_64]),eq_80]),eq_114]) ).

cnf(eq_125,plain,
    multiply(X,add(multiply(Y,X),Z)) = add(multiply(Y,X),multiply(X,Z)),
    inference(rw,[status(thm)],[eq_124,eq_103]) ).

cnf(eq_126,plain,
    multiply(add(X,Y),multiply(add(Y,Z),add(Z,X))) = add(multiply(X,Y),multiply(Z,add(Y,multiply(X,Z)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_125]),eq_123]) ).

cnf(eq_127,negated_conjecture,
    multiply(a,multiply(add(b,a),multiply(add(a,c),add(c,b)))) != multiply(a,add(b,c)),
    inference(cp,[status(thm)],[eq_126,eq_122]) ).

cnf(eq_128,negated_conjecture,
    multiply(a,add(b,c)) != multiply(a,add(b,c)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_127,eq_64]),eq_68]),eq_46]),eq_97]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_128]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : BOO031-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Jul 26 03:35:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 30.73/30.98  % SZS status Unsatisfiable
% 30.73/30.98  % SZS output start CNFRefutation for /tmp/MaedMax_32159
% See solution above
% 30.73/30.98  
%------------------------------------------------------------------------------