%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP656-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n004.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 07:03:06 EDT 2022

% Result   : Unsatisfiable 0.42s 0.60s
% Output   : CNFRefutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   24 (  24 unt;   0 nHn;   6 RR)
%            Number of literals    :   24 (  23 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   45 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = mult(B,ld(B,A)),
    file('/tmp/MaedMax_22703') ).

cnf(eq_1,axiom,
    A = ld(B,mult(B,A)),
    file('/tmp/MaedMax_22703') ).

cnf(eq_2,axiom,
    A = mult(rd(A,B),B),
    file('/tmp/MaedMax_22703') ).

cnf(eq_3,axiom,
    A = rd(mult(A,B),B),
    file('/tmp/MaedMax_22703') ).

cnf(eq_4,axiom,
    mult(mult(A,B),mult(C,A)) = mult(mult(A,mult(B,C)),A),
    file('/tmp/MaedMax_22703') ).

cnf(eq_5,negated_conjecture,
    tuple(mult(A,x1(A)),mult(x1_2(A),A)) != tuple(x1(A),x1_2(A)),
    file('/tmp/MaedMax_22703') ).

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

cnf(eq_7,plain,
    rd(mult(mult(A,B),mult(C,A)),A) = mult(A,mult(B,C)),
    inference(cp,[status(thm)],[eq_4,eq_3]) ).

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

cnf(eq_9,plain,
    ld(mult(A,C),mult(mult(A,B),A)) = mult(ld(C,B),A),
    inference(cp,[status(thm)],[eq_8,eq_1]) ).

cnf(eq_10,plain,
    rd(mult(mult(B,x101),A),B) = mult(B,mult(x101,rd(A,B))),
    inference(cp,[status(thm)],[eq_2,eq_7]) ).

cnf(eq_11,plain,
    mult(A,mult(B,rd(C,A))) = rd(mult(mult(A,B),C),A),
    eq_10 ).

cnf(eq_12,plain,
    ld(mult(A,B),mult(mult(A,C),A)) = mult(ld(B,C),A),
    eq_9 ).

cnf(eq_13,plain,
    mult(B,x101) = mult(B,mult(x101,rd(B,B))),
    inference(cp,[status(thm)],[eq_3,eq_11]) ).

cnf(eq_14,plain,
    mult(A,B) = mult(A,mult(B,rd(A,A))),
    eq_13 ).

cnf(eq_15,plain,
    ld(A,mult(A,mult(B,rd(A,A)))) = B,
    inference(cp,[status(thm)],[eq_14,eq_1]) ).

cnf(eq_16,plain,
    A = mult(ld(x101,x101),A),
    inference(cp,[status(thm)],[eq_1,eq_12]) ).

cnf(eq_17,plain,
    A = mult(ld(B,B),A),
    eq_16 ).

cnf(eq_18,plain,
    A = mult(A,rd(B,B)),
    inference(rw,[status(thm)],[eq_15,eq_1]) ).

cnf(eq_19,negated_conjecture,
    tuple(mult(B,x1(B)),mult(x1_2(B),mult(B,rd(x1_2(B),x1_2(B))))) != tuple(x1(B),x1_2(B)),
    inference(cp,[status(thm)],[eq_14,eq_5]) ).

cnf(eq_20,negated_conjecture,
    tuple(mult(A,x1(A)),mult(x1_2(A),mult(A,rd(x1_2(A),x1_2(A))))) != tuple(x1(A),x1_2(A)),
    eq_19 ).

cnf(eq_21,negated_conjecture,
    tuple(x1(ld(B,B)),mult(x1_2(ld(B,B)),mult(ld(B,B),rd(x1_2(ld(B,B)),x1_2(ld(B,B)))))) != tuple(x1(ld(B,B)),x1_2(ld(B,B))),
    inference(cp,[status(thm)],[eq_17,eq_20]) ).

cnf(eq_22,negated_conjecture,
    tuple(x1(ld(A,A)),x1_2(ld(A,A))) != tuple(x1(ld(A,A)),x1_2(ld(A,A))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_17]),eq_18]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GRP656-10 : TPTP v8.1.0. Released v8.1.0.
% 0.10/0.12  % Command  : run_maedmax %d %s
% 0.11/0.31  % Computer : n004.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Tue Jul 26 04:05:36 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.42/0.60  % SZS status Unsatisfiable
% 0.42/0.60  % SZS output start CNFRefutation for /tmp/MaedMax_22703
% See solution above
% 0.42/0.60  
%------------------------------------------------------------------------------