%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP657-10 : 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 07:03:07 EDT 2022

% Result   : Unsatisfiable 0.47s 0.70s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            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    :    6 (   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   :   49 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = mult(B,ld(B,A)),
    file('/tmp/MaedMax_22915') ).

cnf(eq_1,axiom,
    A = ld(B,mult(B,A)),
    file('/tmp/MaedMax_22915') ).

cnf(eq_2,axiom,
    A = mult(rd(A,B),B),
    file('/tmp/MaedMax_22915') ).

cnf(eq_3,axiom,
    A = rd(mult(A,B),B),
    file('/tmp/MaedMax_22915') ).

cnf(eq_4,axiom,
    mult(A,mult(mult(B,C),A)) = mult(mult(A,B),mult(C,A)),
    file('/tmp/MaedMax_22915') ).

cnf(eq_5,negated_conjecture,
    tuple(mult(A,x1(A)),mult(x1_2(A),A)) != tuple(x1(A),x1_2(A)),
    file('/tmp/MaedMax_22915') ).

cnf(eq_6,plain,
    ld(mult(A,B),mult(A,mult(mult(B,C),A))) = mult(C,A),
    inference(cp,[status(thm)],[eq_4,eq_1]) ).

cnf(eq_7,plain,
    mult(x100,mult(A,x100)) = mult(mult(x100,B),mult(ld(B,A),x100)),
    inference(cp,[status(thm)],[eq_0,eq_4]) ).

cnf(eq_8,plain,
    mult(x100,mult(A,x100)) = mult(mult(x100,rd(A,B)),mult(B,x100)),
    inference(cp,[status(thm)],[eq_2,eq_4]) ).

cnf(eq_9,plain,
    mult(A,mult(B,A)) = mult(mult(A,rd(B,C)),mult(C,A)),
    eq_8 ).

cnf(eq_10,plain,
    mult(A,mult(B,A)) = mult(mult(A,C),mult(ld(C,B),A)),
    eq_7 ).

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

cnf(eq_12,plain,
    rd(mult(mult(A,C),mult(ld(C,B),A)),mult(B,A)) = A,
    inference(cp,[status(thm)],[eq_10,eq_3]) ).

cnf(eq_13,plain,
    A = rd(mult(mult(A,B),mult(ld(B,C),A)),mult(C,A)),
    eq_12 ).

cnf(eq_14,plain,
    A = mult(A,rd(B,B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_10]),eq_11]) ).

cnf(eq_15,plain,
    ld(A,mult(A,mult(mult(rd(B,B),x102),A))) = mult(x102,A),
    inference(cp,[status(thm)],[eq_14,eq_6]) ).

cnf(eq_16,plain,
    mult(A,B) = mult(mult(rd(C,C),A),B),
    inference(rw,[status(thm)],[eq_15,eq_1]) ).

cnf(eq_17,negated_conjecture,
    tuple(mult(rd(B,B),x1(rd(B,B))),x1_2(rd(B,B))) != tuple(x1(rd(B,B)),x1_2(rd(B,B))),
    inference(cp,[status(thm)],[eq_14,eq_5]) ).

cnf(eq_18,negated_conjecture,
    tuple(mult(rd(A,A),x1(rd(A,A))),x1_2(rd(A,A))) != tuple(x1(rd(A,A)),x1_2(rd(A,A))),
    eq_17 ).

cnf(eq_19,plain,
    mult(rd(x100,x100),mult(B,rd(x100,x100))) = mult(C,mult(ld(C,B),rd(x100,x100))),
    inference(cp,[status(thm)],[eq_10,eq_16]) ).

cnf(eq_20,plain,
    A = mult(rd(B,B),A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_14]),eq_14]),eq_0]) ).

cnf(eq_21,negated_conjecture,
    tuple(x1(rd(B,B)),x1_2(rd(B,B))) != tuple(x1(rd(B,B)),x1_2(rd(B,B))),
    inference(cp,[status(thm)],[eq_20,eq_18]) ).

cnf(eq_22,negated_conjecture,
    tuple(x1(rd(A,A)),x1_2(rd(A,A))) != tuple(x1(rd(A,A)),x1_2(rd(A,A))),
    eq_21 ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP657-10 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Jul 26 04:37:38 EDT 2022
% 0.19/0.35  % CPUTime  : 
% 0.47/0.70  % SZS status Unsatisfiable
% 0.47/0.70  % SZS output start CNFRefutation for /tmp/MaedMax_22915
% See solution above
% 0.47/0.70  
%------------------------------------------------------------------------------