%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP658-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n027.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 07:03:07 EDT 2022

% Result   : Unsatisfiable 0.89s 1.09s
% Output   : CNFRefutation 0.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   46 (  46 unt;   0 nHn;   9 RR)
%            Number of literals    :   46 (  45 equ;   8 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    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :  102 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = mult(B,ld(B,A)),
    file('/tmp/MaedMax_13974') ).

cnf(eq_1,axiom,
    A = ld(B,mult(B,A)),
    file('/tmp/MaedMax_13974') ).

cnf(eq_2,axiom,
    A = mult(rd(A,B),B),
    file('/tmp/MaedMax_13974') ).

cnf(eq_3,axiom,
    A = rd(mult(A,B),B),
    file('/tmp/MaedMax_13974') ).

cnf(eq_4,axiom,
    mult(mult(A,B),mult(B,C)) = mult(mult(A,mult(B,B)),C),
    file('/tmp/MaedMax_13974') ).

cnf(eq_5,negated_conjecture,
    tuple(mult(A,x1(A)),mult(x1_2(A),A)) != tuple(x1(A),x1_2(A)),
    file('/tmp/MaedMax_13974') ).

cnf(eq_6,plain,
    A = mult(mult(x100,x101),mult(x101,ld(mult(x100,mult(x101,x101)),A))),
    inference(cp,[status(thm)],[eq_0,eq_4]) ).

cnf(eq_7,plain,
    mult(A,x102) = mult(mult(rd(A,mult(x101,x101)),x101),mult(x101,x102)),
    inference(cp,[status(thm)],[eq_2,eq_4]) ).

cnf(eq_8,plain,
    A = mult(mult(B,C),mult(C,ld(mult(B,mult(C,C)),A))),
    eq_6 ).

cnf(eq_9,plain,
    mult(A,B) = mult(mult(rd(A,mult(C,C)),C),mult(C,B)),
    eq_7 ).

cnf(eq_10,plain,
    ld(mult(rd(A,mult(C,C)),C),mult(A,B)) = mult(C,B),
    inference(cp,[status(thm)],[eq_9,eq_1]) ).

cnf(eq_11,plain,
    rd(mult(A,B),mult(C,B)) = mult(rd(A,mult(C,C)),C),
    inference(cp,[status(thm)],[eq_9,eq_3]) ).

cnf(eq_12,plain,
    rd(A,mult(C,ld(mult(B,mult(C,C)),A))) = mult(B,C),
    inference(cp,[status(thm)],[eq_8,eq_3]) ).

cnf(eq_13,plain,
    mult(mult(rd(x100,mult(B,B)),B),A) = mult(x100,ld(B,A)),
    inference(cp,[status(thm)],[eq_0,eq_9]) ).

cnf(eq_14,plain,
    ld(mult(rd(A,mult(B,B)),B),mult(A,C)) = mult(B,C),
    eq_10 ).

cnf(eq_15,plain,
    mult(A,B) = rd(C,mult(B,ld(mult(A,mult(B,B)),C))),
    eq_12 ).

cnf(eq_16,plain,
    mult(rd(A,mult(B,B)),B) = rd(mult(A,C),mult(B,C)),
    eq_11 ).

cnf(eq_17,plain,
    mult(A,ld(B,C)) = mult(mult(rd(A,mult(B,B)),B),C),
    eq_13 ).

cnf(eq_18,plain,
    rd(A,mult(x102,B)) = mult(rd(rd(A,B),mult(x102,x102)),x102),
    inference(cp,[status(thm)],[eq_2,eq_16]) ).

cnf(eq_19,plain,
    rd(mult(x100,ld(B,A)),A) = mult(rd(x100,mult(B,B)),B),
    inference(cp,[status(thm)],[eq_0,eq_16]) ).

cnf(eq_20,plain,
    mult(rd(A,mult(B,B)),B) = rd(mult(A,ld(B,C)),C),
    eq_19 ).

cnf(eq_21,plain,
    mult(rd(rd(A,B),mult(C,C)),C) = rd(A,mult(C,B)),
    eq_18 ).

cnf(eq_22,plain,
    ld(rd(C,mult(B,ld(mult(rd(x100,mult(B,B)),mult(B,B)),C))),mult(x100,x102)) = mult(B,x102),
    inference(cp,[status(thm)],[eq_15,eq_14]) ).

cnf(eq_23,plain,
    ld(mult(rd(B,mult(x101,x101)),x101),A) = mult(x101,ld(B,A)),
    inference(cp,[status(thm)],[eq_0,eq_14]) ).

cnf(eq_24,plain,
    mult(rd(C,mult(B,ld(mult(rd(x100,mult(B,B)),mult(B,B)),C))),x102) = mult(x100,ld(B,x102)),
    inference(cp,[status(thm)],[eq_15,eq_17]) ).

cnf(eq_25,plain,
    ld(mult(rd(A,mult(B,B)),B),C) = mult(B,ld(A,C)),
    eq_23 ).

cnf(eq_26,plain,
    mult(A,ld(B,C)) = mult(rd(X0,mult(B,ld(A,X0))),C),
    inference(rw,[status(thm)],[eq_24,eq_2]) ).

cnf(eq_27,plain,
    ld(rd(A,mult(B,ld(C,A))),mult(C,X0)) = mult(B,X0),
    inference(rw,[status(thm)],[eq_22,eq_2]) ).

cnf(eq_28,negated_conjecture,
    tuple(ld(mult(rd(A,mult(B,B)),B),mult(A,x1(B))),mult(x1_2(B),B)) != tuple(x1(B),x1_2(B)),
    inference(cp,[status(thm)],[eq_14,eq_5]) ).

cnf(eq_29,plain,
    rd(A,A) = mult(rd(B,mult(B,B)),B),
    inference(cp,[status(thm)],[eq_0,eq_20]) ).

cnf(eq_30,plain,
    mult(rd(A,mult(A,A)),A) = rd(B,B),
    eq_29 ).

cnf(eq_31,plain,
    ld(rd(A,mult(A,A)),rd(B,B)) = A,
    inference(cp,[status(thm)],[eq_30,eq_1]) ).

cnf(eq_32,plain,
    ld(rd(B,B),x102) = mult(A,ld(A,x102)),
    inference(cp,[status(thm)],[eq_30,eq_25]) ).

cnf(eq_33,plain,
    mult(rd(A,A),x103) = mult(B,ld(B,x103)),
    inference(cp,[status(thm)],[eq_0,eq_26]) ).

cnf(eq_34,plain,
    A = mult(rd(B,B),A),
    inference(rw,[status(thm)],[eq_33,eq_0]) ).

cnf(eq_35,plain,
    A = ld(rd(B,B),A),
    inference(rw,[status(thm)],[eq_32,eq_0]) ).

cnf(eq_36,plain,
    ld(rd(A,mult(x101,A)),mult(rd(B,B),x103)) = mult(x101,x103),
    inference(cp,[status(thm)],[eq_35,eq_27]) ).

cnf(eq_37,plain,
    ld(rd(A,mult(B,A)),C) = mult(B,C),
    inference(rw,[status(thm)],[eq_36,eq_34]) ).

cnf(eq_38,negated_conjecture,
    tuple(ld(mult(rd(rd(B,B),mult(x101,x101)),x101),x1(x101)),mult(x1_2(x101),x101)) != tuple(x1(x101),x1_2(x101)),
    inference(cp,[status(thm)],[eq_34,eq_28]) ).

cnf(eq_39,negated_conjecture,
    tuple(ld(rd(A,mult(B,A)),x1(B)),mult(x1_2(B),B)) != tuple(x1(B),x1_2(B)),
    inference(rw,[status(thm)],[eq_38,eq_21]) ).

cnf(eq_40,negated_conjecture,
    tuple(ld(rd(ld(B,A),A),x1(B)),mult(x1_2(B),B)) != tuple(x1(B),x1_2(B)),
    inference(cp,[status(thm)],[eq_0,eq_39]) ).

cnf(eq_41,negated_conjecture,
    tuple(ld(rd(ld(A,B),B),x1(A)),mult(x1_2(A),A)) != tuple(x1(A),x1_2(A)),
    eq_40 ).

cnf(eq_42,plain,
    A = mult(A,rd(B,B)),
    inference(cp,[status(thm)],[eq_31,eq_37]) ).

cnf(eq_43,negated_conjecture,
    tuple(ld(rd(ld(rd(B,B),x101),x101),x1(rd(B,B))),x1_2(rd(B,B))) != tuple(x1(rd(B,B)),x1_2(rd(B,B))),
    inference(cp,[status(thm)],[eq_42,eq_41]) ).

cnf(eq_44,negated_conjecture,
    tuple(x1(rd(A,A)),x1_2(rd(A,A))) != tuple(x1(rd(A,A)),x1_2(rd(A,A))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_43,eq_35]),eq_35]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_44]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GRP658-10 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n027.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 04:32:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.89/1.09  % SZS status Unsatisfiable
% 0.89/1.09  % SZS output start CNFRefutation for /tmp/MaedMax_13974
% See solution above
% 0.89/1.09  
%------------------------------------------------------------------------------