%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP659-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n005.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 2.26s 2.46s
% Output   : CNFRefutation 2.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   83 (  83 unt;   0 nHn;  11 RR)
%            Number of literals    :   83 (  82 equ;   9 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    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :  157 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = mult(B,ld(B,A)),
    file('/tmp/MaedMax_19804') ).

cnf(eq_1,axiom,
    A = ld(B,mult(B,A)),
    file('/tmp/MaedMax_19804') ).

cnf(eq_2,axiom,
    A = mult(rd(A,B),B),
    file('/tmp/MaedMax_19804') ).

cnf(eq_3,axiom,
    A = rd(mult(A,B),B),
    file('/tmp/MaedMax_19804') ).

cnf(eq_4,axiom,
    mult(mult(A,B),mult(C,B)) = mult(mult(A,mult(B,C)),B),
    file('/tmp/MaedMax_19804') ).

cnf(eq_5,negated_conjecture,
    tuple(mult(A,x1(A)),mult(x1_2(A),A)) != tuple(x1(A),x1_2(A)),
    file('/tmp/MaedMax_19804') ).

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

cnf(eq_7,plain,
    ld(rd(A,B),A) = B,
    inference(cp,[status(thm)],[eq_2,eq_1]) ).

cnf(eq_8,plain,
    mult(A,x101) = mult(mult(rd(A,mult(x101,x102)),x101),mult(x102,x101)),
    inference(cp,[status(thm)],[eq_2,eq_4]) ).

cnf(eq_9,plain,
    mult(mult(x100,A),B) = mult(mult(x100,B),mult(ld(B,A),B)),
    inference(cp,[status(thm)],[eq_0,eq_4]) ).

cnf(eq_10,plain,
    rd(mult(mult(A,B),mult(C,B)),B) = mult(A,mult(B,C)),
    inference(cp,[status(thm)],[eq_4,eq_3]) ).

cnf(eq_11,plain,
    rd(A,ld(B,A)) = B,
    inference(cp,[status(thm)],[eq_0,eq_3]) ).

cnf(eq_12,plain,
    A = rd(B,ld(A,B)),
    eq_11 ).

cnf(eq_13,plain,
    A = ld(rd(B,A),B),
    eq_7 ).

cnf(eq_14,plain,
    A = ld(mult(B,mult(A,C)),mult(mult(B,A),mult(C,A))),
    eq_6 ).

cnf(eq_15,plain,
    mult(mult(A,B),C) = mult(mult(A,C),mult(ld(C,B),C)),
    eq_9 ).

cnf(eq_16,plain,
    mult(A,B) = mult(mult(rd(A,mult(B,C)),B),mult(C,B)),
    eq_8 ).

cnf(eq_17,plain,
    ld(mult(A,C),mult(mult(A,B),C)) = mult(ld(C,B),C),
    inference(cp,[status(thm)],[eq_15,eq_1]) ).

cnf(eq_18,plain,
    rd(mult(A,B),mult(C,B)) = mult(rd(A,mult(B,C)),B),
    inference(cp,[status(thm)],[eq_16,eq_3]) ).

cnf(eq_19,plain,
    mult(A,mult(ld(B,x102),B)) = mult(mult(rd(A,B),x102),B),
    inference(cp,[status(thm)],[eq_2,eq_15]) ).

cnf(eq_20,plain,
    rd(mult(mult(x100,B),A),B) = mult(x100,mult(B,rd(A,B))),
    inference(cp,[status(thm)],[eq_2,eq_10]) ).

cnf(eq_21,plain,
    mult(A,mult(B,rd(C,B))) = rd(mult(mult(A,B),C),B),
    eq_20 ).

cnf(eq_22,plain,
    ld(mult(A,B),mult(mult(A,C),B)) = mult(ld(B,C),B),
    eq_17 ).

cnf(eq_23,plain,
    mult(A,mult(ld(B,C),B)) = mult(mult(rd(A,B),C),B),
    eq_19 ).

cnf(eq_24,negated_conjecture,
    tuple(mult(B,x1(B)),mult(mult(rd(x1_2(B),mult(B,C)),B),mult(C,B))) != tuple(x1(B),x1_2(B)),
    inference(cp,[status(thm)],[eq_16,eq_5]) ).

cnf(eq_25,negated_conjecture,
    tuple(mult(A,x1(A)),mult(mult(rd(x1_2(A),mult(A,B)),A),mult(B,A))) != tuple(x1(A),x1_2(A)),
    eq_24 ).

cnf(eq_26,plain,
    mult(A,mult(B,rd(B,B))) = mult(A,B),
    inference(cp,[status(thm)],[eq_21,eq_3]) ).

cnf(eq_27,plain,
    mult(x100,B) = mult(x100,mult(B,rd(B,B))),
    inference(cp,[status(thm)],[eq_3,eq_21]) ).

cnf(eq_28,plain,
    mult(A,B) = mult(A,mult(B,rd(B,B))),
    eq_27 ).

cnf(eq_29,plain,
    ld(A,mult(A,mult(B,rd(B,B)))) = B,
    inference(cp,[status(thm)],[eq_28,eq_1]) ).

cnf(eq_30,plain,
    A = mult(A,rd(A,A)),
    inference(rw,[status(thm)],[eq_29,eq_1]) ).

cnf(eq_31,negated_conjecture,
    tuple(mult(rd(B,B),x1(rd(B,B))),mult(mult(rd(x1_2(rd(B,B)),mult(rd(B,B),B)),rd(B,B)),B)) != tuple(x1(rd(B,B)),x1_2(rd(B,B))),
    inference(cp,[status(thm)],[eq_26,eq_25]) ).

cnf(eq_32,negated_conjecture,
    tuple(mult(rd(A,A),x1(rd(A,A))),mult(x1_2(rd(A,A)),mult(ld(A,rd(A,A)),A))) != tuple(x1(rd(A,A)),x1_2(rd(A,A))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_2]),eq_23]) ).

cnf(eq_33,plain,
    ld(A,A) = rd(A,A),
    inference(cp,[status(thm)],[eq_30,eq_1]) ).

cnf(eq_34,plain,
    ld(mult(x100,mult(rd(A,A),A)),mult(mult(x100,rd(A,A)),A)) = rd(A,A),
    inference(cp,[status(thm)],[eq_30,eq_14]) ).

cnf(eq_35,plain,
    rd(A,rd(A,A)) = A,
    inference(cp,[status(thm)],[eq_30,eq_3]) ).

cnf(eq_36,plain,
    rd(mult(x100,x101),x101) = mult(x100,mult(x101,rd(rd(mult(x100,x101),mult(x100,x101)),x101))),
    inference(cp,[status(thm)],[eq_30,eq_21]) ).

cnf(eq_37,plain,
    A = mult(A,mult(B,rd(A,mult(B,A)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_3]),eq_18]),eq_3]) ).

cnf(eq_38,plain,
    ld(A,A) = mult(B,rd(A,mult(B,A))),
    inference(cp,[status(thm)],[eq_37,eq_1]) ).

cnf(eq_39,plain,
    ld(mult(x100,A),mult(mult(x100,A),mult(mult(B,rd(A,mult(B,A))),A))) = A,
    inference(cp,[status(thm)],[eq_37,eq_14]) ).

cnf(eq_40,plain,
    mult(B,mult(rd(A,B),rd(B,A))) = B,
    inference(cp,[status(thm)],[eq_2,eq_37]) ).

cnf(eq_41,plain,
    A = mult(mult(B,rd(A,mult(B,A))),A),
    inference(rw,[status(thm)],[eq_39,eq_1]) ).

cnf(eq_42,plain,
    A = mult(A,mult(rd(B,A),rd(A,B))),
    eq_40 ).

cnf(eq_43,plain,
    ld(A,A) = mult(rd(B,A),rd(A,B)),
    inference(cp,[status(thm)],[eq_42,eq_1]) ).

cnf(eq_44,plain,
    mult(B,mult(rd(ld(A,B),B),A)) = B,
    inference(cp,[status(thm)],[eq_12,eq_42]) ).

cnf(eq_45,plain,
    mult(A,mult(ld(B,rd(B,mult(rd(A,B),B))),B)) = B,
    inference(cp,[status(thm)],[eq_23,eq_41]) ).

cnf(eq_46,plain,
    A = mult(B,mult(ld(A,rd(A,B)),A)),
    inference(rw,[status(thm)],[eq_45,eq_2]) ).

cnf(eq_47,plain,
    mult(ld(A,rd(A,A)),A) = rd(A,A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_2]),eq_22]) ).

cnf(eq_48,plain,
    A = mult(A,mult(rd(ld(B,A),A),B)),
    eq_44 ).

cnf(eq_49,plain,
    mult(rd(A,B),rd(B,A)) = rd(B,B),
    inference(rw,[status(thm)],[eq_43,eq_33]) ).

cnf(eq_50,plain,
    ld(B,ld(A,A)) = rd(A,mult(B,A)),
    inference(cp,[status(thm)],[eq_38,eq_1]) ).

cnf(eq_51,plain,
    ld(A,ld(B,B)) = rd(B,mult(A,B)),
    eq_50 ).

cnf(eq_52,plain,
    ld(mult(x100,A),mult(mult(x100,A),mult(mult(rd(ld(B,A),A),B),A))) = A,
    inference(cp,[status(thm)],[eq_48,eq_14]) ).

cnf(eq_53,plain,
    ld(ld(A,ld(B,B)),B) = mult(A,B),
    inference(cp,[status(thm)],[eq_51,eq_13]) ).

cnf(eq_54,plain,
    rd(ld(A,A),rd(A,B)) = rd(B,A),
    inference(cp,[status(thm)],[eq_43,eq_3]) ).

cnf(eq_55,plain,
    rd(A,B) = rd(ld(B,B),rd(B,A)),
    eq_54 ).

cnf(eq_56,plain,
    ld(B,A) = mult(ld(A,rd(A,B)),A),
    inference(cp,[status(thm)],[eq_46,eq_1]) ).

cnf(eq_57,plain,
    A = mult(ld(B,A),mult(ld(A,B),A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_23]),eq_1]) ).

cnf(eq_58,plain,
    ld(A,B) = mult(ld(B,rd(B,A)),B),
    eq_56 ).

cnf(eq_59,plain,
    rd(A,B) = rd(rd(B,B),rd(B,A)),
    inference(rw,[status(thm)],[eq_55,eq_33]) ).

cnf(eq_60,negated_conjecture,
    tuple(mult(rd(A,A),x1(rd(A,A))),mult(x1_2(rd(A,A)),rd(A,A))) != tuple(x1(rd(A,A)),x1_2(rd(A,A))),
    inference(rw,[status(thm)],[eq_32,eq_47]) ).

cnf(eq_61,plain,
    mult(rd(ld(A,B),B),A) = rd(B,B),
    inference(cp,[status(thm)],[eq_12,eq_49]) ).

cnf(eq_62,plain,
    ld(ld(B,A),A) = mult(ld(A,B),A),
    inference(cp,[status(thm)],[eq_57,eq_1]) ).

cnf(eq_63,plain,
    rd(rd(A,A),rd(A,A)) = rd(A,A),
    inference(cp,[status(thm)],[eq_59,eq_35]) ).

cnf(eq_64,plain,
    rd(ld(A,B),B) = ld(B,rd(B,A)),
    inference(cp,[status(thm)],[eq_58,eq_3]) ).

cnf(eq_65,plain,
    rd(rd(B,B),A) = rd(ld(A,B),B),
    inference(cp,[status(thm)],[eq_61,eq_3]) ).

cnf(eq_66,plain,
    ld(ld(A,B),B) = mult(ld(B,A),B),
    eq_62 ).

cnf(eq_67,plain,
    rd(ld(A,B),B) = rd(rd(B,B),A),
    eq_65 ).

cnf(eq_68,plain,
    ld(A,rd(A,B)) = rd(ld(B,A),A),
    eq_64 ).

cnf(eq_69,plain,
    ld(ld(A,rd(B,B)),B) = mult(A,B),
    inference(rw,[status(thm)],[eq_53,eq_33]) ).

cnf(eq_70,plain,
    ld(A,rd(A,B)) = rd(rd(A,A),B),
    inference(cp,[status(thm)],[eq_68,eq_67]) ).

cnf(eq_71,plain,
    rd(mult(ld(B,A),B),B) = rd(rd(B,B),ld(A,B)),
    inference(cp,[status(thm)],[eq_66,eq_67]) ).

cnf(eq_72,plain,
    ld(A,B) = rd(rd(A,A),ld(B,A)),
    inference(rw,[status(thm)],[eq_71,eq_3]) ).

cnf(eq_73,plain,
    rd(B,rd(rd(A,A),ld(B,A))) = A,
    inference(cp,[status(thm)],[eq_72,eq_12]) ).

cnf(eq_74,plain,
    rd(ld(A,rd(A,rd(A,A))),ld(x101,rd(A,A))) = ld(rd(A,A),x101),
    inference(cp,[status(thm)],[eq_70,eq_72]) ).

cnf(eq_75,plain,
    A = ld(rd(B,B),A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_74,eq_35]),eq_33]),eq_12]) ).

cnf(eq_76,negated_conjecture,
    tuple(x1(rd(A,A)),ld(ld(x1_2(rd(A,A)),rd(A,A)),rd(A,A))) != tuple(x1(rd(A,A)),x1_2(rd(A,A))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_69]),eq_69]),eq_75]),eq_63]),eq_75]) ).

cnf(eq_77,plain,
    rd(rd(B,B),rd(rd(A,A),A)) = A,
    inference(cp,[status(thm)],[eq_75,eq_73]) ).

cnf(eq_78,plain,
    rd(rd(A,A),A) = ld(A,rd(B,B)),
    inference(cp,[status(thm)],[eq_75,eq_72]) ).

cnf(eq_79,plain,
    ld(A,rd(B,B)) = rd(rd(A,A),A),
    eq_78 ).

cnf(eq_80,negated_conjecture,
    tuple(x1(ld(A,A)),ld(ld(x1_2(ld(A,A)),ld(A,A)),ld(A,A))) != tuple(x1(ld(A,A)),x1_2(ld(A,A))),
    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_76,eq_33]),eq_33]),eq_33]),eq_33]),eq_33]),eq_33]) ).

cnf(eq_81,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)],[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_80,eq_33]),eq_33]),eq_33]),eq_33]),eq_79]),eq_79]),eq_77]),eq_33]),eq_33]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_81]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP659-10 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.13  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n005.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 04:16:50 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 2.26/2.46  % SZS status Unsatisfiable
% 2.26/2.46  % SZS output start CNFRefutation for /tmp/MaedMax_19804
% See solution above
% 2.26/2.47  
%------------------------------------------------------------------------------