%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : BOO022-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n014.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 06:57:48 EDT 2022

% Result   : Unsatisfiable 14.78s 15.01s
% Output   : CNFRefutation 14.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   32 (  32 unt;   0 nHn;   7 RR)
%            Number of literals    :   32 (  31 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   56 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = multiply(add(Y,X),X),
    file('/tmp/MaedMax_31556') ).

cnf(eq_1,axiom,
    add(multiply(X,Y),multiply(Z,Y)) = multiply(Y,add(X,Z)),
    file('/tmp/MaedMax_31556') ).

cnf(eq_2,axiom,
    X = add(multiply(Y,X),X),
    file('/tmp/MaedMax_31556') ).

cnf(eq_3,axiom,
    add(X,multiply(Y,Z)) = multiply(add(Y,X),add(Z,X)),
    file('/tmp/MaedMax_31556') ).

cnf(eq_4,negated_conjecture,
    multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
    file('/tmp/MaedMax_31556') ).

cnf(eq_5,plain,
    add(X,X) = X,
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_6,plain,
    multiply(X,X) = X,
    inference(cp,[status(thm)],[eq_2,eq_0]) ).

cnf(eq_7,plain,
    multiply(x100,x101) = multiply(x101,add(x100,x100)),
    inference(cp,[status(thm)],[eq_5,eq_1]) ).

cnf(eq_8,plain,
    add(multiply(x100,X),X) = multiply(X,add(x100,X)),
    inference(cp,[status(thm)],[eq_6,eq_1]) ).

cnf(eq_9,plain,
    multiply(add(x100,X),X) = add(X,multiply(x100,X)),
    inference(cp,[status(thm)],[eq_5,eq_3]) ).

cnf(eq_10,plain,
    X = add(X,multiply(Y,X)),
    inference(rw,[status(thm)],[eq_9,eq_0]) ).

cnf(eq_11,plain,
    X = multiply(X,add(Y,X)),
    inference(rw,[status(thm)],[eq_8,eq_2]) ).

cnf(eq_12,plain,
    multiply(multiply(Y,X),X) = multiply(Y,X),
    inference(cp,[status(thm)],[eq_10,eq_11]) ).

cnf(eq_13,plain,
    multiply(add(x100,multiply(Y,X)),X) = add(multiply(Y,X),multiply(x100,X)),
    inference(cp,[status(thm)],[eq_10,eq_3]) ).

cnf(eq_14,plain,
    multiply(X,Y) = multiply(multiply(X,Y),Y),
    eq_12 ).

cnf(eq_15,plain,
    multiply(X,Y) = multiply(Y,X),
    inference(rw,[status(thm)],[eq_7,eq_5]) ).

cnf(eq_16,plain,
    multiply(X,add(Y,Z)) = multiply(add(Z,multiply(Y,X)),X),
    inference(rw,[status(thm)],[eq_13,eq_1]) ).

cnf(eq_17,plain,
    add(multiply(x100,Y),multiply(Y,X)) = multiply(Y,add(x100,X)),
    inference(cp,[status(thm)],[eq_15,eq_1]) ).

cnf(eq_18,plain,
    add(multiply(X,Y),multiply(Y,Z)) = multiply(Y,add(X,Z)),
    eq_17 ).

cnf(eq_19,negated_conjecture,
    multiply(multiply(b,c),a) != multiply(multiply(a,b),c),
    inference(cp,[status(thm)],[eq_15,eq_4]) ).

cnf(eq_20,negated_conjecture,
    multiply(multiply(c,b),a) != multiply(multiply(a,b),c),
    inference(cp,[status(thm)],[eq_15,eq_19]) ).

cnf(eq_21,plain,
    add(multiply(x100,Y),multiply(X,Y)) = multiply(Y,add(x100,multiply(X,Y))),
    inference(cp,[status(thm)],[eq_14,eq_1]) ).

cnf(eq_22,plain,
    multiply(X,add(Y,Z)) = multiply(X,add(Y,multiply(Z,X))),
    inference(rw,[status(thm)],[eq_21,eq_1]) ).

cnf(eq_23,plain,
    multiply(x100,X) = add(multiply(X,x100),multiply(x100,multiply(Y,X))),
    inference(cp,[status(thm)],[eq_10,eq_18]) ).

cnf(eq_24,plain,
    add(multiply(X,Y),multiply(Y,multiply(Z,X))) = multiply(Y,X),
    eq_23 ).

cnf(eq_25,plain,
    multiply(multiply(Z,X),multiply(Y,X)) = multiply(multiply(Z,X),add(multiply(X,Y),Y)),
    inference(cp,[status(thm)],[eq_24,eq_22]) ).

cnf(eq_26,plain,
    multiply(multiply(Y,X),multiply(Z,X)) = multiply(multiply(Z,X),add(Y,multiply(X,Y))),
    inference(cp,[status(thm)],[eq_24,eq_16]) ).

cnf(eq_27,plain,
    multiply(multiply(X,Y),Z) = multiply(multiply(Z,Y),multiply(X,Y)),
    inference(rw,[status(thm)],[eq_26,eq_10]) ).

cnf(eq_28,plain,
    multiply(multiply(X,Y),Z) = multiply(multiply(X,Y),multiply(Z,Y)),
    inference(rw,[status(thm)],[eq_25,eq_2]) ).

cnf(eq_29,negated_conjecture,
    multiply(multiply(a,b),multiply(c,b)) != multiply(multiply(a,b),c),
    inference(cp,[status(thm)],[eq_27,eq_20]) ).

cnf(eq_30,negated_conjecture,
    multiply(multiply(a,b),c) != multiply(multiply(a,b),c),
    inference(rw,[status(thm)],[eq_29,eq_28]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : BOO022-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Jul 26 03:27:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 14.78/15.01  % SZS status Unsatisfiable
% 14.78/15.01  % SZS output start CNFRefutation for /tmp/MaedMax_31556
% See solution above
% 14.78/15.01  
%------------------------------------------------------------------------------