%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP202-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n028.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 07:02:26 EDT 2022

% Result   : Unsatisfiable 138.30s 138.45s
% Output   : CNFRefutation 138.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   83 (  83 unt;   0 nHn;  11 RR)
%            Number of literals    :   83 (  82 equ;  10 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    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :  127 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = multiply(identity,X),
    file('/tmp/MaedMax_14439') ).

cnf(eq_1,axiom,
    X = multiply(X,identity),
    file('/tmp/MaedMax_14439') ).

cnf(eq_2,axiom,
    X = multiply(Y,left_division(Y,X)),
    file('/tmp/MaedMax_14439') ).

cnf(eq_3,axiom,
    X = left_division(Y,multiply(Y,X)),
    file('/tmp/MaedMax_14439') ).

cnf(eq_4,axiom,
    X = multiply(right_division(X,Y),Y),
    file('/tmp/MaedMax_14439') ).

cnf(eq_5,axiom,
    X = right_division(multiply(X,Y),Y),
    file('/tmp/MaedMax_14439') ).

cnf(eq_6,axiom,
    identity = multiply(X,right_inverse(X)),
    file('/tmp/MaedMax_14439') ).

cnf(eq_7,axiom,
    identity = multiply(left_inverse(X),X),
    file('/tmp/MaedMax_14439') ).

cnf(eq_8,axiom,
    multiply(X,multiply(Y,multiply(X,Z))) = multiply(multiply(multiply(X,Y),X),Z),
    file('/tmp/MaedMax_14439') ).

cnf(eq_9,negated_conjecture,
    multiply(multiply(a,multiply(b,c)),a) != multiply(multiply(a,b),multiply(c,a)),
    file('/tmp/MaedMax_14439') ).

cnf(eq_10,plain,
    X = right_division(X,identity),
    inference(cp,[status(thm)],[eq_4,eq_1]) ).

cnf(eq_11,plain,
    multiply(X,multiply(Y,multiply(X,identity))) = multiply(multiply(X,Y),X),
    inference(cp,[status(thm)],[eq_8,eq_1]) ).

cnf(eq_12,plain,
    multiply(multiply(identity,left_inverse(X)),x102) = multiply(left_inverse(X),multiply(X,multiply(left_inverse(X),x102))),
    inference(cp,[status(thm)],[eq_7,eq_8]) ).

cnf(eq_13,plain,
    multiply(multiply(X,Y),x102) = multiply(Y,multiply(left_division(Y,X),multiply(Y,x102))),
    inference(cp,[status(thm)],[eq_2,eq_8]) ).

cnf(eq_14,plain,
    left_division(multiply(multiply(X,Y),X),multiply(X,multiply(Y,multiply(X,Z)))) = Z,
    inference(cp,[status(thm)],[eq_8,eq_3]) ).

cnf(eq_15,plain,
    left_division(X,identity) = right_inverse(X),
    inference(cp,[status(thm)],[eq_6,eq_3]) ).

cnf(eq_16,plain,
    right_division(identity,X) = left_inverse(X),
    inference(cp,[status(thm)],[eq_7,eq_5]) ).

cnf(eq_17,plain,
    right_division(multiply(X,multiply(Y,multiply(X,Z))),Z) = multiply(multiply(X,Y),X),
    inference(cp,[status(thm)],[eq_8,eq_5]) ).

cnf(eq_18,plain,
    right_division(X,left_division(Y,X)) = Y,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_19,plain,
    right_division(X,X) = identity,
    inference(cp,[status(thm)],[eq_0,eq_5]) ).

cnf(eq_20,plain,
    multiply(X,multiply(Y,X)) = multiply(multiply(X,Y),X),
    inference(rw,[status(thm)],[eq_11,eq_1]) ).

cnf(eq_21,plain,
    multiply(left_inverse(X),Y) = multiply(left_inverse(X),multiply(X,multiply(left_inverse(X),Y))),
    inference(rw,[status(thm)],[eq_12,eq_0]) ).

cnf(eq_22,plain,
    X = left_division(multiply(multiply(Y,Z),Y),multiply(Y,multiply(Z,multiply(Y,X)))),
    eq_14 ).

cnf(eq_23,plain,
    multiply(X,multiply(left_division(X,Y),multiply(X,Z))) = multiply(multiply(Y,X),Z),
    eq_13 ).

cnf(eq_24,plain,
    X = right_division(Y,left_division(X,Y)),
    eq_18 ).

cnf(eq_25,plain,
    X = left_inverse(left_division(X,identity)),
    inference(cp,[status(thm)],[eq_24,eq_16]) ).

cnf(eq_26,plain,
    right_division(multiply(X,multiply(Y,X)),X) = multiply(X,Y),
    inference(cp,[status(thm)],[eq_20,eq_5]) ).

cnf(eq_27,plain,
    multiply(left_inverse(X),multiply(left_division(left_inverse(X),x101),identity)) = multiply(multiply(x101,left_inverse(X)),X),
    inference(cp,[status(thm)],[eq_7,eq_23]) ).

cnf(eq_28,plain,
    multiply(left_inverse(x100),multiply(x100,X)) = multiply(left_inverse(x100),left_division(left_inverse(x100),X)),
    inference(cp,[status(thm)],[eq_2,eq_21]) ).

cnf(eq_29,plain,
    left_division(multiply(identity,left_inverse(X)),multiply(left_inverse(X),multiply(X,multiply(left_inverse(X),x102)))) = x102,
    inference(cp,[status(thm)],[eq_7,eq_22]) ).

cnf(eq_30,plain,
    right_division(multiply(x100,X),x102) = multiply(multiply(x100,right_division(X,multiply(x100,x102))),x100),
    inference(cp,[status(thm)],[eq_4,eq_17]) ).

cnf(eq_31,plain,
    X = multiply(Y,multiply(left_inverse(Y),X)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_0]),eq_3]) ).

cnf(eq_32,plain,
    X = multiply(multiply(X,left_inverse(Y)),Y),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_1]),eq_2]) ).

cnf(eq_33,plain,
    X = multiply(left_inverse(Y),multiply(Y,X)),
    inference(rw,[status(thm)],[eq_28,eq_2]) ).

cnf(eq_34,plain,
    multiply(multiply(X,right_division(Y,multiply(X,Z))),X) = right_division(multiply(X,Y),Z),
    eq_30 ).

cnf(eq_35,plain,
    multiply(x100,X) = left_division(left_inverse(x100),X),
    inference(cp,[status(thm)],[eq_2,eq_31]) ).

cnf(eq_36,plain,
    multiply(X,x101) = right_division(X,left_inverse(x101)),
    inference(cp,[status(thm)],[eq_4,eq_32]) ).

cnf(eq_37,plain,
    multiply(left_inverse(left_inverse(X)),identity) = X,
    inference(cp,[status(thm)],[eq_7,eq_33]) ).

cnf(eq_38,plain,
    multiply(left_inverse(multiply(X,left_inverse(Y))),X) = Y,
    inference(cp,[status(thm)],[eq_32,eq_33]) ).

cnf(eq_39,plain,
    left_division(Y,X) = multiply(left_inverse(Y),X),
    inference(cp,[status(thm)],[eq_31,eq_3]) ).

cnf(eq_40,plain,
    right_division(X,Y) = multiply(X,left_inverse(Y)),
    inference(cp,[status(thm)],[eq_32,eq_5]) ).

cnf(eq_41,plain,
    right_division(X,multiply(left_inverse(Y),X)) = Y,
    inference(cp,[status(thm)],[eq_31,eq_5]) ).

cnf(eq_42,plain,
    right_division(multiply(X,identity),X) = multiply(X,left_inverse(X)),
    inference(cp,[status(thm)],[eq_7,eq_26]) ).

cnf(eq_43,plain,
    multiply(X,Y) = left_division(left_inverse(X),Y),
    eq_35 ).

cnf(eq_44,plain,
    multiply(left_inverse(X),Y) = left_division(X,Y),
    eq_39 ).

cnf(eq_45,plain,
    X = multiply(left_inverse(multiply(Y,left_inverse(X))),Y),
    eq_38 ).

cnf(eq_46,plain,
    X = right_division(Y,multiply(left_inverse(X),Y)),
    eq_41 ).

cnf(eq_47,plain,
    X = left_inverse(left_inverse(X)),
    inference(rw,[status(thm)],[eq_37,eq_1]) ).

cnf(eq_48,plain,
    multiply(X,Y) = right_division(X,left_inverse(Y)),
    eq_36 ).

cnf(eq_49,plain,
    multiply(X,left_inverse(Y)) = right_division(X,Y),
    eq_40 ).

cnf(eq_50,plain,
    identity = multiply(X,left_inverse(X)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_1]),eq_19]) ).

cnf(eq_51,plain,
    identity = multiply(X,right_division(identity,X)),
    inference(rw,[status(thm)],[eq_50,eq_16]) ).

cnf(eq_52,plain,
    X = right_division(identity,right_division(identity,X)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_16]),eq_16]) ).

cnf(eq_53,plain,
    X = right_division(Y,multiply(right_division(identity,X),Y)),
    inference(rw,[status(thm)],[eq_46,eq_16]) ).

cnf(eq_54,plain,
    multiply(X,Y) = right_division(X,right_division(identity,Y)),
    inference(rw,[status(thm)],[eq_48,eq_16]) ).

cnf(eq_55,plain,
    multiply(X,right_division(identity,Y)) = right_division(X,Y),
    inference(rw,[status(thm)],[eq_49,eq_16]) ).

cnf(eq_56,plain,
    multiply(right_division(identity,X),Y) = left_division(X,Y),
    inference(rw,[status(thm)],[eq_44,eq_16]) ).

cnf(eq_57,plain,
    X = multiply(Y,multiply(right_division(identity,Y),X)),
    inference(rw,[status(thm)],[eq_31,eq_16]) ).

cnf(eq_58,plain,
    multiply(X,Y) = left_division(right_division(identity,X),Y),
    inference(rw,[status(thm)],[eq_43,eq_16]) ).

cnf(eq_59,plain,
    right_inverse(X) = left_inverse(X),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_56]),eq_40]),eq_0]),eq_1]) ).

cnf(eq_60,plain,
    X = multiply(Y,left_inverse(multiply(left_inverse(X),Y))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_40]),eq_0]),eq_40]) ).

cnf(eq_61,plain,
    X = multiply(multiply(X,Y),left_inverse(Y)),
    inference(rw,[status(thm)],[eq_5,eq_40]) ).

cnf(eq_62,plain,
    multiply(left_inverse(Y),X) = left_inverse(multiply(left_inverse(X),Y)),
    inference(cp,[status(thm)],[eq_60,eq_33]) ).

cnf(eq_63,plain,
    multiply(X,left_inverse(Y)) = left_inverse(multiply(Y,left_inverse(X))),
    inference(cp,[status(thm)],[eq_45,eq_61]) ).

cnf(eq_64,plain,
    multiply(left_inverse(X),Y) = left_inverse(multiply(left_inverse(Y),X)),
    eq_62 ).

cnf(eq_65,plain,
    right_division(X,Y) = left_inverse(right_division(Y,X)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_63,eq_48]),eq_47]),eq_48]),eq_47]) ).

cnf(eq_66,plain,
    left_inverse(X) = left_division(X,identity),
    inference(cp,[status(thm)],[eq_25,eq_47]) ).

cnf(eq_67,plain,
    left_division(X,Y) = left_division(left_division(Y,X),identity),
    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_64,eq_66]),eq_58]),eq_24]),eq_66]),eq_58]),eq_24]),eq_66]) ).

cnf(eq_68,plain,
    left_division(right_division(X,Y),identity) = right_division(Y,X),
    inference(rw,[status(thm)],[eq_65,eq_66]) ).

cnf(eq_69,negated_conjecture,
    left_division(right_division(identity,left_division(right_division(identity,a),left_division(right_division(identity,b),c))),a) != left_division(right_division(identity,left_division(right_division(identity,a),b)),left_division(right_division(identity,c),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_9,eq_58]),eq_58]),eq_58]),eq_58]),eq_58]),eq_58]) ).

cnf(eq_70,plain,
    right_division(identity,right_division(Y,X)) = right_division(X,Y),
    inference(cp,[status(thm)],[eq_68,eq_24]) ).

cnf(eq_71,negated_conjecture,
    left_division(right_division(identity,left_division(left_division(b,right_division(identity,a)),identity)),left_division(right_division(identity,c),a)) != left_division(right_division(identity,left_division(right_division(identity,a),left_division(right_division(identity,b),c))),a),
    inference(cp,[status(thm)],[eq_67,eq_69]) ).

cnf(eq_72,negated_conjecture,
    left_division(left_division(b,right_division(identity,a)),left_division(right_division(identity,c),a)) != left_division(right_division(identity,left_division(right_division(identity,a),left_division(right_division(identity,b),c))),a),
    inference(rw,[status(thm)],[eq_71,eq_24]) ).

cnf(eq_73,plain,
    right_division(X,Y) = right_inverse(right_division(Y,X)),
    inference(rw,[status(thm)],[eq_68,eq_15]) ).

cnf(eq_74,plain,
    left_division(X,Y) = right_division(right_division(identity,X),right_inverse(Y)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_48]),eq_59]) ).

cnf(eq_75,negated_conjecture,
    right_division(right_division(identity,right_division(right_division(identity,b),a)),right_division(right_inverse(a),c)) != right_division(right_division(a,right_division(right_inverse(c),b)),right_inverse(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_72,eq_74]),eq_74]),eq_73]),eq_52]),eq_10]),eq_74]),eq_73]),eq_74]),eq_52]),eq_74]),eq_52]),eq_73]),eq_74]),eq_52]) ).

cnf(eq_76,negated_conjecture,
    right_division(right_division(a,right_division(identity,b)),right_division(right_inverse(a),c)) != right_division(right_division(a,right_division(right_inverse(c),b)),right_inverse(a)),
    inference(cp,[status(thm)],[eq_70,eq_75]) ).

cnf(eq_77,negated_conjecture,
    right_division(right_division(a,right_division(left_inverse(c),b)),left_inverse(a)) != right_division(right_division(a,left_inverse(b)),right_division(left_inverse(a),c)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_76,eq_16]),eq_59]),eq_59]),eq_59]) ).

cnf(eq_78,negated_conjecture,
    right_division(right_division(a,left_inverse(right_division(b,left_inverse(c)))),left_inverse(a)) != right_division(right_division(a,left_inverse(b)),right_division(left_inverse(a),c)),
    inference(cp,[status(thm)],[eq_65,eq_77]) ).

cnf(eq_79,plain,
    right_division(multiply(X,Y),Z) = multiply(X,multiply(right_division(Y,multiply(X,Z)),X)),
    inference(rw,[status(thm)],[eq_34,eq_20]) ).

cnf(eq_80,negated_conjecture,
    right_division(right_division(a,left_inverse(b)),multiply(left_inverse(a),right_division(identity,c))) != right_division(right_division(a,left_inverse(right_division(b,left_inverse(c)))),left_inverse(a)),
    inference(cp,[status(thm)],[eq_55,eq_78]) ).

cnf(eq_81,negated_conjecture,
    multiply(a,multiply(multiply(b,c),a)) != multiply(a,multiply(multiply(b,c),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)],[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_16]),eq_16]),eq_54]),eq_79]),eq_57]),eq_54]),eq_16]),eq_16]),eq_54]),eq_16]),eq_54]),eq_79]),eq_51]),eq_79]),eq_1]),eq_4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP202-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n028.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 04:34:32 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 138.30/138.45  % SZS status Unsatisfiable
% 138.30/138.45  % SZS output start CNFRefutation for /tmp/MaedMax_14439
% See solution above
% 138.30/138.45  
%------------------------------------------------------------------------------