%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : TOP049-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n026.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 07:23:08 EDT 2022

% Result   : Unsatisfiable 1.51s 1.71s
% Output   : CNFRefutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   81 (  81 unt;   0 nHn;  70 RR)
%            Number of literals    :   81 (  80 equ;   6 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-9 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = product(X,X),
    file('/tmp/MaedMax_14142') ).

cnf(eq_1,axiom,
    X = product(product(X,Y),Y),
    file('/tmp/MaedMax_14142') ).

cnf(eq_2,axiom,
    product(product(X,Y),Z) = product(product(X,Z),product(Y,Z)),
    file('/tmp/MaedMax_14142') ).

cnf(eq_3,axiom,
    product(a9,a7) = a1,
    file('/tmp/MaedMax_14142') ).

cnf(eq_4,axiom,
    product(a1,a2) = a3,
    file('/tmp/MaedMax_14142') ).

cnf(eq_5,axiom,
    product(a3,a4) = a2,
    file('/tmp/MaedMax_14142') ).

cnf(eq_6,axiom,
    product(a2,a10) = a5,
    file('/tmp/MaedMax_14142') ).

cnf(eq_7,axiom,
    product(a5,a4) = a6,
    file('/tmp/MaedMax_14142') ).

cnf(eq_8,axiom,
    product(a6,a1) = a7,
    file('/tmp/MaedMax_14142') ).

cnf(eq_9,axiom,
    product(a7,a4) = a8,
    file('/tmp/MaedMax_14142') ).

cnf(eq_10,axiom,
    product(a8,a9) = a10,
    file('/tmp/MaedMax_14142') ).

cnf(eq_11,axiom,
    product(a10,a3) = a4,
    file('/tmp/MaedMax_14142') ).

cnf(eq_12,axiom,
    product(a4,a8) = a9,
    file('/tmp/MaedMax_14142') ).

cnf(eq_13,negated_conjecture,
    tuple(a1,a9,a8,a6,a7,a2,a3,a4,a5) != tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6),
    file('/tmp/MaedMax_14142') ).

cnf(eq_14,plain,
    product(a1,product(a3,a4)) = a3,
    inference(rw,[status(thm)],[eq_4,eq_5]) ).

cnf(eq_15,plain,
    product(product(a6,a1),a4) = a8,
    inference(rw,[status(thm)],[eq_9,eq_8]) ).

cnf(eq_16,negated_conjecture,
    tuple(product(a3,a4),a10,product(a4,a8),product(a6,a1),a8,a3,a4,a5,a6) != tuple(a1,product(a4,a8),a8,a6,product(a6,a1),product(a3,a4),a3,a4,a5),
    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_13,eq_12]),eq_8]),eq_5]),eq_5]),eq_12]),eq_8]) ).

cnf(eq_17,plain,
    product(a6,a4) = a5,
    inference(cp,[status(thm)],[eq_7,eq_1]) ).

cnf(eq_18,plain,
    product(a4,a3) = a10,
    inference(cp,[status(thm)],[eq_11,eq_1]) ).

cnf(eq_19,plain,
    product(X,product(x102,X)) = product(product(X,x102),X),
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_20,plain,
    product(X,product(x102,Y)) = product(product(product(X,Y),x102),Y),
    inference(cp,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_21,plain,
    product(product(x100,Y),X) = product(product(x100,product(X,Y)),Y),
    inference(cp,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_22,plain,
    product(product(X,Y),Z) = product(product(X,product(Z,Y)),Y),
    eq_21 ).

cnf(eq_23,plain,
    product(X,product(Y,X)) = product(product(X,Y),X),
    eq_19 ).

cnf(eq_24,plain,
    product(X,product(Y,Z)) = product(product(product(X,Z),Y),Z),
    eq_20 ).

cnf(eq_25,plain,
    product(a3,product(a3,a4)) = a1,
    inference(cp,[status(thm)],[eq_14,eq_1]) ).

cnf(eq_26,plain,
    product(a8,a4) = product(a6,a1),
    inference(cp,[status(thm)],[eq_15,eq_1]) ).

cnf(eq_27,plain,
    product(a10,a9) = a8,
    inference(cp,[status(thm)],[eq_10,eq_1]) ).

cnf(eq_28,plain,
    product(a6,a1) = product(a8,a4),
    eq_26 ).

cnf(eq_29,plain,
    product(product(a3,a4),product(a4,a3)) = a5,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_5]),eq_18]) ).

cnf(eq_30,negated_conjecture,
    tuple(product(a3,a4),product(a4,a3),product(a4,a8),product(product(a5,a4),a1),a8,a3,a4,a5,product(a5,a4)) != tuple(a1,product(a4,a8),a8,product(a5,a4),product(product(a5,a4),a1),product(a3,a4),a3,a4,a5),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_18]),eq_7]),eq_7]),eq_7]),eq_7]) ).

cnf(eq_31,plain,
    product(a6,a1) = product(a8,product(a10,a3)),
    inference(rw,[status(thm)],[eq_28,eq_11]) ).

cnf(eq_32,plain,
    product(a8,product(a10,a3)) = a7,
    inference(rw,[status(thm)],[eq_8,eq_31]) ).

cnf(eq_33,plain,
    product(a6,product(a10,a3)) = a5,
    inference(rw,[status(thm)],[eq_17,eq_11]) ).

cnf(eq_34,negated_conjecture,
    tuple(product(a3,product(a10,a3)),a10,product(product(a10,a3),a8),product(product(a5,product(a10,a3)),a1),a8,a3,product(a10,a3),a5,product(a5,product(a10,a3))) != tuple(a1,product(product(a10,a3),a8),a8,product(a5,product(a10,a3)),product(product(a5,product(a10,a3)),a1),product(a3,product(a10,a3)),a3,product(a10,a3),a5),
    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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_11]),eq_11]),eq_11]),eq_11]),eq_11]),eq_11]),eq_1]),eq_11]),eq_11]),eq_11]),eq_11]),eq_11]) ).

cnf(eq_35,plain,
    product(product(Y,X),product(product(X,Y),X)) = product(product(product(Y,X),X),product(Y,X)),
    inference(cp,[status(thm)],[eq_23,eq_23]) ).

cnf(eq_36,plain,
    product(X,product(X,Y)) = product(product(X,product(Y,X)),Y),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_2]),eq_1]) ).

cnf(eq_37,plain,
    a8 = product(product(a4,a3),a9),
    inference(rw,[status(thm)],[eq_27,eq_18]) ).

cnf(eq_38,plain,
    product(product(a3,a4),product(a4,a3)) = product(a6,a4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_18]),eq_1]),eq_29]) ).

cnf(eq_39,plain,
    product(product(a4,a3),a9) = product(a7,a4),
    inference(rw,[status(thm)],[eq_9,eq_37]) ).

cnf(eq_40,plain,
    product(a6,product(a9,a7)) = a7,
    inference(rw,[status(thm)],[eq_8,eq_3]) ).

cnf(eq_41,plain,
    product(product(product(a4,a3),a9),a4) = a7,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_37]),eq_18]),eq_1]) ).

cnf(eq_42,plain,
    product(a9,a7) = product(a3,product(a3,a4)),
    inference(rw,[status(thm)],[eq_25,eq_3]) ).

cnf(eq_43,plain,
    product(a4,product(product(a4,a3),a9)) = a9,
    inference(rw,[status(thm)],[eq_12,eq_37]) ).

cnf(eq_44,plain,
    product(a9,a4) = product(a4,product(product(product(a4,a3),a9),a4)),
    inference(cp,[status(thm)],[eq_43,eq_23]) ).

cnf(eq_45,plain,
    product(a7,product(a9,a7)) = a6,
    inference(cp,[status(thm)],[eq_40,eq_1]) ).

cnf(eq_46,plain,
    product(a9,a9) = product(product(a4,a9),product(a4,a3)),
    inference(cp,[status(thm)],[eq_43,eq_22]) ).

cnf(eq_47,plain,
    product(a7,a7) = product(product(a6,a7),a9),
    inference(cp,[status(thm)],[eq_40,eq_22]) ).

cnf(eq_48,plain,
    product(a6,product(a3,product(a3,a4))) = a7,
    inference(cp,[status(thm)],[eq_42,eq_40]) ).

cnf(eq_49,plain,
    product(product(a6,a7),a9) = a7,
    inference(rw,[status(thm)],[eq_47,eq_0]) ).

cnf(eq_50,plain,
    product(product(a4,a9),product(a4,a3)) = a9,
    inference(rw,[status(thm)],[eq_46,eq_0]) ).

cnf(eq_51,plain,
    product(a7,a9) = product(a6,a7),
    inference(cp,[status(thm)],[eq_49,eq_1]) ).

cnf(eq_52,plain,
    product(a7,product(a3,a4)) = product(product(a6,product(a3,a4)),a3),
    inference(cp,[status(thm)],[eq_48,eq_22]) ).

cnf(eq_53,plain,
    product(a9,a4) = product(a4,a7),
    inference(rw,[status(thm)],[eq_44,eq_41]) ).

cnf(eq_54,plain,
    product(product(a9,a4),a7) = a4,
    inference(cp,[status(thm)],[eq_53,eq_1]) ).

cnf(eq_55,plain,
    product(product(a6,a4),product(a4,a3)) = product(a3,a4),
    inference(cp,[status(thm)],[eq_38,eq_1]) ).

cnf(eq_56,plain,
    product(a7,a9) = product(product(a4,a3),product(a4,a9)),
    inference(cp,[status(thm)],[eq_41,eq_24]) ).

cnf(eq_57,plain,
    product(product(a4,a3),product(a4,a9)) = product(a6,a7),
    inference(rw,[status(thm)],[eq_56,eq_51]) ).

cnf(eq_58,plain,
    product(product(a4,a3),product(a4,a9)) = product(a7,a9),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_45]),eq_22]),eq_0]) ).

cnf(eq_59,plain,
    product(product(a3,a4),a3) = product(product(product(a6,a4),a3),a4),
    inference(cp,[status(thm)],[eq_55,eq_22]) ).

cnf(eq_60,plain,
    product(a4,product(a9,a4)) = product(product(a4,product(a7,a4)),a7),
    inference(cp,[status(thm)],[eq_53,eq_36]) ).

cnf(eq_61,plain,
    product(product(product(a4,a9),product(a7,a9)),product(a4,a3)) = product(product(a4,a9),product(product(a4,a9),product(a4,a3))),
    inference(cp,[status(thm)],[eq_58,eq_36]) ).

cnf(eq_62,plain,
    product(a3,product(a3,a4)) = product(a4,product(a9,a4)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_39]),eq_43]),eq_42]) ).

cnf(eq_63,plain,
    product(a3,product(a4,a3)) = product(a6,product(a3,a4)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_59,eq_23]),eq_24]) ).

cnf(eq_64,plain,
    product(product(a9,product(a4,a9)),product(a4,a3)) = a4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_61,eq_2]),eq_53]),eq_23]),eq_50]),eq_1]) ).

cnf(eq_65,plain,
    product(product(a3,product(a3,a4)),a4) = product(product(a4,a4),a9),
    inference(cp,[status(thm)],[eq_62,eq_22]) ).

cnf(eq_66,plain,
    product(a7,product(a3,a4)) = product(a3,a4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_63]),eq_22]),eq_0]) ).

cnf(eq_67,plain,
    product(a3,product(a4,a3)) = product(a4,a9),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_65,eq_22]),eq_23]),eq_0]) ).

cnf(eq_68,plain,
    product(product(a3,a4),product(a3,a4)) = a7,
    inference(cp,[status(thm)],[eq_66,eq_1]) ).

cnf(eq_69,plain,
    product(product(a3,product(a4,a3)),product(a4,a3)) = a9,
    inference(cp,[status(thm)],[eq_67,eq_50]) ).

cnf(eq_70,plain,
    product(a3,a4) = a7,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_68,eq_2]),eq_0]) ).

cnf(eq_71,plain,
    a9 = a3,
    inference(rw,[status(thm)],[eq_69,eq_1]) ).

cnf(eq_72,plain,
    a1 = product(a3,a7),
    inference(rw,[status(thm)],[eq_25,eq_70]) ).

cnf(eq_73,plain,
    a5 = product(a7,product(a4,a3)),
    inference(rw,[status(thm)],[eq_29,eq_70]) ).

cnf(eq_74,plain,
    a8 = a4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_37,eq_71]),eq_1]) ).

cnf(eq_75,plain,
    a3 = a4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_64,eq_71]),eq_71]),eq_1]) ).

cnf(eq_76,plain,
    a7 = a4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_54,eq_71]),eq_70]),eq_0]) ).

cnf(eq_77,negated_conjecture,
    tuple(product(a3,a7),a4,a4,product(product(a7,product(a4,a3)),a4),product(product(product(a7,product(a4,a3)),a4),product(a3,a7)),a7,a3,a4,product(a7,product(a4,a3))) != tuple(a7,product(a4,a3),a4,product(product(product(a7,product(a4,a3)),a4),product(a3,a7)),a4,a3,a4,product(a7,product(a4,a3)),product(product(a7,product(a4,a3)),a4)),
    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)],[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)],[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)],[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)],[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_18]),eq_18]),eq_18]),eq_74]),eq_73]),eq_18]),eq_72]),eq_74]),eq_18]),eq_73]),eq_73]),eq_18]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]),eq_70]),eq_0]),eq_72]),eq_18]),eq_74]),eq_74]),eq_73]),eq_18]),eq_73]),eq_18]),eq_72]),eq_18]),eq_18]),eq_73]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]),eq_0]),eq_70]) ).

cnf(eq_78,plain,
    a7 = a3,
    inference(cp,[status(thm)],[eq_76,eq_75]) ).

cnf(eq_79,negated_conjecture,
    tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3),
    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)],[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)],[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)],[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)],[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)],[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)],[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)],[inference(rw,[status(thm)],[eq_77,eq_78]),eq_75]),eq_75]),eq_78]),eq_75]),eq_75]),eq_78]),eq_75]),eq_75]),eq_78]),eq_78]),eq_75]),eq_78]),eq_75]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_78]),eq_75]),eq_75]),eq_78]),eq_75]),eq_75]),eq_78]),eq_75]),eq_75]),eq_78]),eq_75]),eq_78]),eq_75]),eq_75]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_79]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : TOP049-1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.12  % Command  : run_maedmax %d %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Jul 26 02:42:53 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.51/1.71  % SZS status Unsatisfiable
% 1.51/1.71  % SZS output start CNFRefutation for /tmp/MaedMax_14142
% See solution above
% 1.51/1.71  
%------------------------------------------------------------------------------