TSTP Solution File: GRP683-10 by MaedMax---1.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP683-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n008.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 07:03:10 EDT 2022

% Result   : Unsatisfiable 6.68s 6.92s
% Output   : CNFRefutation 6.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :    8
% Syntax   : Number of clauses     :  220 ( 220 unt;   0 nHn;  15 RR)
%            Number of literals    :  220 ( 219 equ;  12 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;   7 con; 0-2 aty)
%            Number of variables   :  416 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = ld(A,mult(A,A)),
    file('/tmp/MaedMax_3292') ).

cnf(eq_1,axiom,
    A = rd(mult(A,A),A),
    file('/tmp/MaedMax_3292') ).

cnf(eq_2,axiom,
    mult(A,ld(A,B)) = ld(A,mult(A,B)),
    file('/tmp/MaedMax_3292') ).

cnf(eq_3,axiom,
    mult(rd(A,B),B) = rd(mult(A,B),B),
    file('/tmp/MaedMax_3292') ).

cnf(eq_4,axiom,
    mult(ld(A,mult(A,B)),C) = ld(ld(A,D),mult(ld(A,D),mult(B,C))),
    file('/tmp/MaedMax_3292') ).

cnf(eq_5,axiom,
    mult(A,rd(mult(B,C),C)) = rd(mult(mult(A,B),rd(D,C)),rd(D,C)),
    file('/tmp/MaedMax_3292') ).

cnf(eq_6,axiom,
    ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B),
    file('/tmp/MaedMax_3292') ).

cnf(eq_7,negated_conjecture,
    mult(x3,ld(x4,mult(x4,x5))) != mult(x3,x5),
    file('/tmp/MaedMax_3292') ).

cnf(eq_8,plain,
    mult(mult(A,ld(A,B)),C) = mult(ld(A,D),ld(ld(A,D),mult(B,C))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_2]),eq_2]) ).

cnf(eq_9,plain,
    mult(A,ld(A,ld(B,B))) = mult(rd(rd(A,A),B),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_2]),eq_3]) ).

cnf(eq_10,plain,
    A = mult(rd(A,A),A),
    inference(rw,[status(thm)],[eq_1,eq_3]) ).

cnf(eq_11,plain,
    mult(A,mult(rd(B,C),C)) = mult(rd(mult(A,B),rd(D,C)),rd(D,C)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_3]),eq_3]) ).

cnf(eq_12,plain,
    A = mult(A,ld(A,A)),
    inference(rw,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_13,negated_conjecture,
    mult(x3,mult(x4,ld(x4,x5))) != mult(x3,x5),
    inference(rw,[status(thm)],[eq_7,eq_2]) ).

cnf(eq_14,plain,
    mult(A,ld(A,ld(B,B))) = rd(mult(rd(A,A),B),B),
    inference(rw,[status(thm)],[eq_9,eq_3]) ).

cnf(eq_15,plain,
    ld(A,A) = mult(A,ld(A,ld(A,A))),
    inference(cp,[status(thm)],[eq_12,eq_2]) ).

cnf(eq_16,plain,
    rd(mult(mult(x100,x101),rd(mult(A,A),A)),A) = mult(x100,rd(mult(x101,A),A)),
    inference(cp,[status(thm)],[eq_1,eq_5]) ).

cnf(eq_17,plain,
    mult(A,x102) = mult(ld(A,x103),ld(ld(A,x103),mult(A,x102))),
    inference(cp,[status(thm)],[eq_12,eq_8]) ).

cnf(eq_18,plain,
    mult(ld(x100,x101),ld(ld(x100,x101),A)) = mult(mult(x100,ld(x100,A)),ld(A,A)),
    inference(cp,[status(thm)],[eq_12,eq_8]) ).

cnf(eq_19,plain,
    mult(A,rd(mult(B,C),C)) = rd(mult(mult(A,B),C),C),
    inference(rw,[status(thm)],[eq_16,eq_1]) ).

cnf(eq_20,plain,
    mult(A,ld(A,ld(A,A))) = ld(A,A),
    eq_15 ).

cnf(eq_21,plain,
    mult(A,B) = mult(ld(A,C),ld(ld(A,C),mult(A,B))),
    eq_17 ).

cnf(eq_22,plain,
    mult(mult(A,ld(A,B)),ld(B,B)) = mult(ld(A,C),ld(ld(A,C),B)),
    eq_18 ).

cnf(eq_23,plain,
    mult(rd(rd(A,A),A),A) = ld(A,A),
    inference(rw,[status(thm)],[eq_20,eq_9]) ).

cnf(eq_24,plain,
    mult(A,mult(rd(B,C),C)) = mult(rd(mult(A,B),C),C),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_3]),eq_3]) ).

cnf(eq_25,plain,
    ld(x101,x101) = mult(rd(rd(ld(x101,x101),ld(x101,x101)),x101),x101),
    inference(cp,[status(thm)],[eq_12,eq_9]) ).

cnf(eq_26,plain,
    ld(rd(A,A),A) = mult(rd(A,A),ld(rd(A,A),A)),
    inference(cp,[status(thm)],[eq_10,eq_2]) ).

cnf(eq_27,plain,
    rd(A,ld(A,A)) = mult(rd(A,ld(A,A)),ld(A,A)),
    inference(cp,[status(thm)],[eq_12,eq_3]) ).

cnf(eq_28,plain,
    mult(rd(A,A),ld(rd(A,A),A)) = ld(rd(A,A),A),
    eq_26 ).

cnf(eq_29,plain,
    mult(rd(rd(ld(A,A),ld(A,A)),A),A) = ld(A,A),
    eq_25 ).

cnf(eq_30,plain,
    mult(rd(A,ld(A,A)),ld(A,A)) = rd(A,ld(A,A)),
    eq_27 ).

cnf(eq_31,plain,
    mult(A,rd(mult(B,C),C)) = mult(A,rd(mult(B,rd(D,C)),rd(D,C))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_3]),eq_3]),eq_19]) ).

cnf(eq_32,plain,
    ld(A,A) = rd(A,A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_14]),eq_3]),eq_1]) ).

cnf(eq_33,plain,
    ld(A,A) = rd(mult(rd(ld(A,A),ld(A,A)),A),A),
    inference(rw,[status(thm)],[eq_29,eq_3]) ).

cnf(eq_34,plain,
    mult(mult(A,rd(mult(B,C),C)),C) = rd(mult(mult(mult(A,B),C),C),C),
    inference(cp,[status(thm)],[eq_19,eq_3]) ).

cnf(eq_35,plain,
    mult(A,rd(mult(B,mult(A,B)),mult(A,B))) = mult(A,B),
    inference(cp,[status(thm)],[eq_19,eq_1]) ).

cnf(eq_36,plain,
    rd(mult(A,x102),x102) = mult(A,rd(mult(ld(A,A),x102),x102)),
    inference(cp,[status(thm)],[eq_12,eq_19]) ).

cnf(eq_37,plain,
    rd(mult(rd(mult(A,B),B),x102),x102) = mult(rd(A,B),rd(mult(B,x102),x102)),
    inference(cp,[status(thm)],[eq_3,eq_19]) ).

cnf(eq_38,plain,
    mult(A,rd(mult(ld(A,A),B),B)) = rd(mult(A,B),B),
    eq_36 ).

cnf(eq_39,plain,
    mult(mult(A,B),C) = mult(mult(A,rd(mult(B,C),C)),C),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_19]),eq_1]) ).

cnf(eq_40,plain,
    mult(rd(A,B),rd(mult(B,C),C)) = rd(mult(rd(mult(A,B),B),C),C),
    eq_37 ).

cnf(eq_41,plain,
    rd(A,rd(A,A)) = rd(mult(A,rd(A,A)),rd(A,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_32]),eq_32]),eq_3]),eq_32]) ).

cnf(eq_42,plain,
    A = mult(A,rd(A,A)),
    inference(rw,[status(thm)],[eq_12,eq_32]) ).

cnf(eq_43,plain,
    mult(mult(A,ld(A,B)),rd(B,B)) = mult(ld(A,C),ld(ld(A,C),B)),
    inference(rw,[status(thm)],[eq_22,eq_32]) ).

cnf(eq_44,plain,
    rd(A,A) = rd(mult(rd(rd(A,A),rd(A,A)),A),A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_32]),eq_32]),eq_32]) ).

cnf(eq_45,plain,
    mult(A,ld(A,rd(B,B))) = rd(mult(rd(A,A),B),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_32]),eq_3]) ).

cnf(eq_46,plain,
    mult(A,B) = mult(mult(A,rd(A,A)),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_8]),eq_32]) ).

cnf(eq_47,plain,
    mult(A,rd(mult(rd(A,A),B),B)) = rd(mult(A,B),B),
    inference(rw,[status(thm)],[eq_38,eq_32]) ).

cnf(eq_48,plain,
    mult(rd(mult(A,rd(mult(x101,x102),x102)),rd(mult(x101,x102),x102)),x102) = mult(mult(rd(A,rd(mult(x101,x102),x102)),x101),x102),
    inference(cp,[status(thm)],[eq_3,eq_39]) ).

cnf(eq_49,plain,
    mult(mult(rd(rd(A,A),A),A),ld(ld(A,A),mult(x102,x103))) = mult(mult(A,ld(A,x102)),x103),
    inference(cp,[status(thm)],[eq_23,eq_8]) ).

cnf(eq_50,plain,
    ld(A,mult(A,B)) = mult(A,ld(A,rd(mult(B,mult(A,B)),mult(A,B)))),
    inference(cp,[status(thm)],[eq_35,eq_2]) ).

cnf(eq_51,plain,
    mult(mult(A,ld(A,B)),C) = mult(rd(A,A),ld(rd(A,A),mult(B,C))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_49,eq_3]),eq_32]),eq_3]),eq_1]) ).

cnf(eq_52,plain,
    mult(A,ld(A,B)) = mult(A,ld(A,rd(mult(B,mult(A,B)),mult(A,B)))),
    inference(rw,[status(thm)],[eq_50,eq_2]) ).

cnf(eq_53,plain,
    mult(rd(A,A),rd(A,A)) = rd(mult(rd(A,A),A),A),
    inference(cp,[status(thm)],[eq_44,eq_47]) ).

cnf(eq_54,plain,
    rd(mult(mult(A,rd(A,A)),rd(A,A)),rd(A,A)) = rd(A,rd(A,A)),
    inference(cp,[status(thm)],[eq_46,eq_41]) ).

cnf(eq_55,plain,
    mult(A,rd(A,A)) = rd(A,rd(A,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_54,eq_19]),eq_1]) ).

cnf(eq_56,plain,
    mult(rd(A,A),rd(A,A)) = rd(A,A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_3]),eq_1]) ).

cnf(eq_57,negated_conjecture,
    mult(mult(x3,rd(x3,x3)),mult(x4,ld(x4,x5))) != mult(x3,x5),
    inference(cp,[status(thm)],[eq_46,eq_13]) ).

cnf(eq_58,plain,
    A = rd(A,rd(A,A)),
    inference(rw,[status(thm)],[eq_55,eq_42]) ).

cnf(eq_59,plain,
    rd(rd(A,A),rd(A,A)) = rd(A,A),
    inference(cp,[status(thm)],[eq_56,eq_1]) ).

cnf(eq_60,plain,
    rd(mult(A,B),B) = mult(A,rd(mult(rd(A,A),rd(x103,B)),rd(x103,B))),
    inference(cp,[status(thm)],[eq_47,eq_31]) ).

cnf(eq_61,plain,
    rd(mult(A,x102),x102) = mult(rd(A,A),rd(mult(A,x102),x102)),
    inference(cp,[status(thm)],[eq_1,eq_40]) ).

cnf(eq_62,plain,
    rd(mult(A,B),B) = rd(mult(A,rd(C,B)),rd(C,B)),
    inference(rw,[status(thm)],[eq_60,eq_47]) ).

cnf(eq_63,plain,
    mult(rd(A,A),rd(mult(A,B),B)) = rd(mult(A,B),B),
    eq_61 ).

cnf(eq_64,plain,
    rd(mult(rd(C,B),B),B) = rd(C,B),
    inference(cp,[status(thm)],[eq_62,eq_1]) ).

cnf(eq_65,plain,
    rd(rd(mult(A,B),B),rd(mult(rd(A,A),B),B)) = rd(mult(A,B),B),
    inference(cp,[status(thm)],[eq_47,eq_62]) ).

cnf(eq_66,plain,
    rd(A,B) = rd(rd(mult(A,B),B),B),
    inference(rw,[status(thm)],[eq_64,eq_3]) ).

cnf(eq_67,plain,
    mult(A,B) = mult(mult(rd(A,rd(mult(C,B),B)),C),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_48,eq_62]),eq_3]),eq_19]),eq_1]) ).

cnf(eq_68,plain,
    rd(rd(mult(A,B),B),rd(mult(A,B),B)) = rd(mult(rd(A,A),B),B),
    inference(cp,[status(thm)],[eq_63,eq_62]) ).

cnf(eq_69,plain,
    A = mult(mult(rd(A,rd(mult(x102,rd(A,A)),rd(A,A))),x102),rd(A,A)),
    inference(cp,[status(thm)],[eq_42,eq_67]) ).

cnf(eq_70,plain,
    mult(mult(A,rd(A,A)),rd(A,A)) = mult(ld(A,x102),ld(ld(A,x102),A)),
    inference(cp,[status(thm)],[eq_32,eq_43]) ).

cnf(eq_71,plain,
    mult(mult(A,mult(A,ld(A,B))),rd(mult(A,B),mult(A,B))) = mult(ld(A,x102),ld(ld(A,x102),mult(A,B))),
    inference(cp,[status(thm)],[eq_2,eq_43]) ).

cnf(eq_72,plain,
    mult(mult(rd(mult(A,B),B),x101),B) = mult(mult(A,rd(mult(x101,B),B)),B),
    inference(cp,[status(thm)],[eq_62,eq_67]) ).

cnf(eq_73,plain,
    mult(mult(rd(x100,rd(A,rd(A,A))),A),rd(A,A)) = mult(x100,rd(A,A)),
    inference(cp,[status(thm)],[eq_42,eq_67]) ).

cnf(eq_74,plain,
    mult(ld(x100,x101),rd(ld(x100,x101),ld(x100,x101))) = mult(mult(x100,ld(x100,ld(x100,x101))),rd(ld(x100,x101),ld(x100,x101))),
    inference(cp,[status(thm)],[eq_32,eq_43]) ).

cnf(eq_75,plain,
    mult(ld(A,A),ld(rd(A,A),x102)) = mult(mult(A,ld(A,x102)),rd(x102,x102)),
    inference(cp,[status(thm)],[eq_32,eq_43]) ).

cnf(eq_76,plain,
    mult(rd(A,A),ld(rd(rd(A,A),rd(A,A)),mult(x101,x102))) = mult(mult(rd(A,A),ld(rd(A,A),x101)),x102),
    inference(cp,[status(thm)],[eq_59,eq_51]) ).

cnf(eq_77,plain,
    mult(rd(x100,x100),mult(rd(x100,x100),ld(rd(x100,x100),B))) = mult(mult(x100,ld(x100,rd(x100,x100))),B),
    inference(cp,[status(thm)],[eq_2,eq_51]) ).

cnf(eq_78,plain,
    mult(rd(x100,x100),ld(rd(x100,x100),rd(A,A))) = mult(mult(x100,ld(x100,rd(A,A))),rd(A,A)),
    inference(cp,[status(thm)],[eq_56,eq_51]) ).

cnf(eq_79,plain,
    rd(mult(A,rd(mult(B,C),C)),C) = rd(mult(A,B),C),
    inference(cp,[status(thm)],[eq_19,eq_66]) ).

cnf(eq_80,plain,
    rd(rd(mult(A,B),B),rd(C,B)) = rd(A,rd(C,B)),
    inference(cp,[status(thm)],[eq_62,eq_66]) ).

cnf(eq_81,plain,
    mult(mult(A,ld(A,ld(A,B))),rd(ld(A,B),ld(A,B))) = ld(A,B),
    inference(rw,[status(thm)],[eq_74,eq_42]) ).

cnf(eq_82,plain,
    A = mult(ld(A,B),ld(ld(A,B),A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_70,eq_42]),eq_42]) ).

cnf(eq_83,plain,
    mult(A,B) = mult(mult(A,mult(A,ld(A,B))),rd(mult(A,B),mult(A,B))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_71,eq_8]),eq_32]),eq_42]) ).

cnf(eq_84,plain,
    mult(mult(A,ld(A,B)),rd(B,B)) = mult(rd(A,A),ld(rd(A,A),B)),
    inference(rw,[status(thm)],[eq_75,eq_32]) ).

cnf(eq_85,plain,
    rd(A,rd(B,C)) = rd(rd(mult(A,C),C),rd(B,C)),
    eq_80 ).

cnf(eq_86,plain,
    mult(mult(A,B),C) = mult(mult(rd(mult(A,C),C),B),C),
    inference(rw,[status(thm)],[eq_72,eq_39]) ).

cnf(eq_87,plain,
    mult(A,rd(B,B)) = mult(rd(mult(A,B),B),rd(B,B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_73,eq_58]),eq_3]) ).

cnf(eq_88,plain,
    A = mult(mult(rd(A,rd(mult(B,A),A)),B),rd(A,A)),
    inference(rw,[status(thm)],[eq_69,eq_62]) ).

cnf(eq_89,plain,
    mult(rd(A,A),B) = mult(rd(A,A),mult(rd(A,A),ld(rd(A,A),B))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_77,eq_45]),eq_3]),eq_1]) ).

cnf(eq_90,negated_conjecture,
    mult(mult(rd(x3,rd(mult(C,x5),x5)),C),x5) != mult(mult(x3,rd(x3,x3)),mult(x4,ld(x4,x5))),
    inference(cp,[status(thm)],[eq_67,eq_57]) ).

cnf(eq_91,negated_conjecture,
    mult(mult(rd(x3,rd(mult(A,x5),x5)),A),x5) != mult(x3,mult(x4,ld(x4,x5))),
    inference(rw,[status(thm)],[eq_90,eq_42]) ).

cnf(eq_92,plain,
    rd(rd(mult(A,rd(mult(x101,x102),x102)),rd(mult(x101,x102),x102)),x102) = rd(mult(rd(A,rd(mult(x101,x102),x102)),x101),x102),
    inference(cp,[status(thm)],[eq_3,eq_79]) ).

cnf(eq_93,plain,
    rd(rd(mult(mult(A,B),C),C),C) = rd(mult(rd(mult(A,C),C),B),C),
    inference(cp,[status(thm)],[eq_86,eq_66]) ).

cnf(eq_94,plain,
    rd(A,B) = rd(mult(rd(A,rd(mult(C,B),B)),C),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_92,eq_62]),eq_66]) ).

cnf(eq_95,plain,
    rd(A,rd(mult(A,B),B)) = rd(mult(rd(A,A),B),B),
    inference(rw,[status(thm)],[eq_68,eq_85]) ).

cnf(eq_96,plain,
    mult(rd(A,A),rd(B,B)) = rd(mult(rd(A,A),B),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_78,eq_45]),eq_59]),eq_45]),eq_87]) ).

cnf(eq_97,plain,
    rd(A,rd(mult(rd(A,A),B),B)) = rd(mult(A,B),B),
    inference(rw,[status(thm)],[eq_65,eq_85]) ).

cnf(eq_98,plain,
    mult(mult(A,ld(A,B)),C) = mult(mult(rd(A,A),ld(rd(A,A),B)),C),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_76,eq_59]),eq_51]) ).

cnf(eq_99,plain,
    rd(mult(A,B),C) = rd(mult(rd(mult(A,C),C),B),C),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_93,eq_19]),eq_79]) ).

cnf(eq_100,plain,
    mult(A,rd(rd(mult(rd(A,A),B),B),rd(B,B))) = rd(mult(A,rd(B,B)),rd(B,B)),
    inference(cp,[status(thm)],[eq_96,eq_47]) ).

cnf(eq_101,plain,
    mult(mult(rd(x100,rd(A,rd(mult(A,B),B))),rd(A,A)),B) = mult(x100,B),
    inference(cp,[status(thm)],[eq_95,eq_67]) ).

cnf(eq_102,plain,
    rd(rd(mult(rd(A,A),B),B),rd(B,B)) = rd(mult(rd(A,A),B),B),
    inference(cp,[status(thm)],[eq_96,eq_62]) ).

cnf(eq_103,plain,
    rd(rd(A,rd(A,A)),rd(A,A)) = rd(mult(rd(A,rd(mult(B,A),A)),B),rd(A,A)),
    inference(cp,[status(thm)],[eq_88,eq_66]) ).

cnf(eq_104,plain,
    rd(A,rd(rd(mult(rd(A,A),B),B),rd(B,B))) = rd(mult(A,rd(B,B)),rd(B,B)),
    inference(cp,[status(thm)],[eq_96,eq_97]) ).

cnf(eq_105,plain,
    rd(rd(mult(rd(A,A),B),B),rd(B,B)) = rd(A,rd(mult(A,rd(B,B)),rd(B,B))),
    inference(cp,[status(thm)],[eq_96,eq_95]) ).

cnf(eq_106,plain,
    rd(mult(rd(mult(A,B),B),rd(A,A)),B) = rd(A,B),
    inference(cp,[status(thm)],[eq_97,eq_94]) ).

cnf(eq_107,plain,
    rd(mult(rd(A,A),B),B) = rd(rd(A,A),rd(B,B)),
    inference(rw,[status(thm)],[eq_102,eq_85]) ).

cnf(eq_108,plain,
    mult(A,rd(rd(A,A),rd(B,B))) = rd(mult(A,B),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_100,eq_85]),eq_62]) ).

cnf(eq_109,plain,
    rd(A,B) = rd(mult(rd(mult(A,B),B),rd(A,A)),B),
    eq_106 ).

cnf(eq_110,plain,
    rd(A,rd(rd(A,A),rd(B,B))) = rd(mult(A,B),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_104,eq_85]),eq_62]) ).

cnf(eq_111,plain,
    mult(A,B) = mult(mult(rd(A,rd(C,rd(mult(C,B),B))),rd(C,C)),B),
    eq_101 ).

cnf(eq_112,plain,
    A = rd(mult(rd(A,rd(mult(B,A),A)),B),rd(A,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_103,eq_58]),eq_58]) ).

cnf(eq_113,plain,
    rd(A,rd(mult(A,B),B)) = rd(rd(A,A),rd(B,B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_105,eq_85]),eq_62]) ).

cnf(eq_114,plain,
    rd(rd(A,B),rd(rd(mult(A,B),B),B)) = rd(rd(rd(A,B),rd(A,B)),rd(B,B)),
    inference(cp,[status(thm)],[eq_3,eq_113]) ).

cnf(eq_115,plain,
    rd(rd(A,B),rd(A,B)) = rd(rd(rd(A,B),rd(A,B)),rd(B,B)),
    inference(rw,[status(thm)],[eq_114,eq_66]) ).

cnf(eq_116,negated_conjecture,
    mult(mult(rd(rd(x3,x3),rd(x5,x5)),x3),x5) != mult(x3,mult(x4,ld(x4,x5))),
    inference(cp,[status(thm)],[eq_113,eq_91]) ).

cnf(eq_117,plain,
    rd(rd(A,A),rd(B,B)) = rd(rd(A,A),rd(rd(A,A),rd(B,B))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_107,eq_110]),eq_59]) ).

cnf(eq_118,plain,
    A = rd(mult(rd(A,rd(B,rd(rd(B,B),rd(A,A)))),B),rd(A,A)),
    inference(rw,[status(thm)],[eq_112,eq_110]) ).

cnf(eq_119,plain,
    mult(A,rd(rd(A,A),rd(B,B))) = rd(A,rd(rd(A,A),rd(B,B))),
    inference(rw,[status(thm)],[eq_108,eq_110]) ).

cnf(eq_120,plain,
    rd(A,B) = rd(rd(A,rd(rd(A,A),rd(B,B))),B),
    inference(rw,[status(thm)],[eq_66,eq_110]) ).

cnf(eq_121,plain,
    mult(A,ld(A,rd(B,B))) = mult(rd(rd(A,A),B),B),
    inference(rw,[status(thm)],[eq_9,eq_32]) ).

cnf(eq_122,plain,
    rd(A,rd(A,rd(rd(A,A),rd(B,B)))) = rd(rd(A,A),rd(B,B)),
    inference(rw,[status(thm)],[eq_113,eq_110]) ).

cnf(eq_123,plain,
    rd(A,rd(B,C)) = rd(rd(A,rd(rd(A,A),rd(C,C))),rd(B,C)),
    inference(rw,[status(thm)],[eq_85,eq_110]) ).

cnf(eq_124,plain,
    mult(rd(A,B),B) = rd(A,rd(rd(A,A),rd(B,B))),
    inference(rw,[status(thm)],[eq_3,eq_110]) ).

cnf(eq_125,plain,
    rd(mult(A,B),C) = rd(mult(rd(A,rd(rd(A,A),rd(C,C))),B),C),
    inference(rw,[status(thm)],[eq_99,eq_110]) ).

cnf(eq_126,plain,
    rd(A,B) = rd(mult(rd(A,rd(C,rd(rd(C,C),rd(B,B)))),C),B),
    inference(rw,[status(thm)],[eq_94,eq_110]) ).

cnf(eq_127,plain,
    mult(rd(A,rd(rd(A,A),rd(B,B))),B) = mult(A,mult(rd(B,B),B)),
    inference(cp,[status(thm)],[eq_110,eq_24]) ).

cnf(eq_128,plain,
    mult(A,B) = mult(rd(A,rd(rd(A,A),rd(B,B))),B),
    inference(rw,[status(thm)],[eq_127,eq_10]) ).

cnf(eq_129,plain,
    mult(rd(A,rd(rd(A,A),rd(B,B))),B) = rd(mult(A,B),rd(rd(mult(A,B),mult(A,B)),rd(B,B))),
    inference(cp,[status(thm)],[eq_110,eq_124]) ).

cnf(eq_130,plain,
    mult(A,ld(A,B)) = mult(A,ld(A,rd(B,rd(rd(B,B),rd(mult(A,B),mult(A,B)))))),
    inference(rw,[status(thm)],[eq_52,eq_110]) ).

cnf(eq_131,plain,
    mult(rd(A,A),ld(rd(A,A),A)) = mult(rd(A,A),A),
    inference(cp,[status(thm)],[eq_28,eq_89]) ).

cnf(eq_132,plain,
    A = ld(rd(A,A),A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_131,eq_28]),eq_124]),eq_59]),eq_58]) ).

cnf(eq_133,plain,
    mult(A,B) = rd(mult(A,B),rd(rd(mult(A,B),mult(A,B)),rd(B,B))),
    inference(rw,[status(thm)],[eq_129,eq_128]) ).

cnf(eq_134,plain,
    mult(ld(rd(A,A),A),ld(A,x102)) = mult(mult(rd(A,A),ld(rd(A,A),x102)),rd(x102,x102)),
    inference(cp,[status(thm)],[eq_132,eq_43]) ).

cnf(eq_135,plain,
    mult(mult(A,mult(A,ld(A,B))),x102) = mult(mult(rd(A,A),ld(rd(A,A),mult(A,B))),x102),
    inference(cp,[status(thm)],[eq_2,eq_98]) ).

cnf(eq_136,plain,
    mult(mult(A,B),C) = mult(mult(A,mult(A,ld(A,B))),C),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_135,eq_51]),eq_32]),eq_42]) ).

cnf(eq_137,plain,
    mult(A,ld(A,rd(B,B))) = rd(rd(A,A),rd(B,B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_121,eq_124]),eq_59]),eq_117]) ).

cnf(eq_138,plain,
    mult(A,ld(A,B)) = mult(mult(mult(A,ld(A,B)),rd(B,B)),rd(B,B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_134,eq_132]),eq_84]) ).

cnf(eq_139,negated_conjecture,
    mult(mult(mult(x3,ld(x3,rd(x5,x5))),x3),x5) != mult(x3,mult(x4,ld(x4,x5))),
    inference(cp,[status(thm)],[eq_137,eq_116]) ).

cnf(eq_140,plain,
    mult(ld(A,B),rd(ld(A,B),ld(A,B))) = mult(A,ld(A,ld(A,B))),
    inference(cp,[status(thm)],[eq_81,eq_138]) ).

cnf(eq_141,plain,
    mult(mult(mult(A,mult(A,ld(A,B))),rd(mult(A,B),mult(A,B))),rd(mult(A,B),mult(A,B))) = mult(A,ld(A,mult(A,B))),
    inference(cp,[status(thm)],[eq_2,eq_138]) ).

cnf(eq_142,plain,
    mult(A,ld(A,ld(A,B))) = ld(A,B),
    inference(rw,[status(thm)],[eq_140,eq_42]) ).

cnf(eq_143,plain,
    mult(A,B) = mult(A,mult(A,ld(A,B))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_141,eq_136]),eq_42]),eq_42]),eq_2]) ).

cnf(eq_144,plain,
    mult(A,mult(rd(rd(A,A),B),B)) = mult(A,rd(B,B)),
    inference(cp,[status(thm)],[eq_121,eq_143]) ).

cnf(eq_145,plain,
    mult(A,rd(B,B)) = rd(A,rd(rd(A,A),rd(B,B))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_144,eq_124]),eq_59]),eq_117]),eq_119]) ).

cnf(eq_146,plain,
    rd(rd(A,rd(rd(A,A),rd(B,B))),rd(B,B)) = rd(A,rd(rd(A,A),rd(rd(B,B),rd(B,B)))),
    inference(cp,[status(thm)],[eq_145,eq_110]) ).

cnf(eq_147,plain,
    rd(A,rd(B,B)) = rd(A,rd(rd(A,A),rd(B,B))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_146,eq_123]),eq_59]) ).

cnf(eq_148,plain,
    mult(rd(A,A),ld(rd(A,A),B)) = rd(mult(A,ld(A,B)),rd(rd(mult(A,ld(A,B)),mult(A,ld(A,B))),rd(B,B))),
    inference(rw,[status(thm)],[eq_84,eq_145]) ).

cnf(eq_149,plain,
    mult(ld(A,mult(A,B)),ld(mult(A,ld(A,B)),A)) = A,
    inference(cp,[status(thm)],[eq_2,eq_82]) ).

cnf(eq_150,plain,
    mult(A,ld(ld(rd(A,A),A),mult(x102,x103))) = mult(mult(rd(A,A),ld(rd(A,A),x102)),x103),
    inference(cp,[status(thm)],[eq_132,eq_8]) ).

cnf(eq_151,plain,
    A = mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),A)),
    inference(rw,[status(thm)],[eq_149,eq_2]) ).

cnf(eq_152,plain,
    mult(A,ld(A,mult(B,C))) = mult(rd(mult(A,ld(A,B)),rd(rd(mult(A,ld(A,B)),mult(A,ld(A,B))),rd(B,B))),C),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_150,eq_132]),eq_148]) ).

cnf(eq_153,plain,
    mult(x100,ld(x100,rd(A,rd(mult(x100,A),mult(x100,A))))) = mult(x100,ld(x100,A)),
    inference(cp,[status(thm)],[eq_147,eq_130]) ).

cnf(eq_154,plain,
    mult(rd(A,rd(B,B)),B) = mult(A,B),
    inference(cp,[status(thm)],[eq_147,eq_128]) ).

cnf(eq_155,plain,
    rd(A,rd(A,rd(B,B))) = rd(rd(A,A),rd(B,B)),
    inference(cp,[status(thm)],[eq_147,eq_122]) ).

cnf(eq_156,plain,
    rd(mult(rd(B,rd(A,rd(B,B))),A),rd(B,B)) = B,
    inference(cp,[status(thm)],[eq_147,eq_118]) ).

cnf(eq_157,plain,
    rd(mult(rd(x100,rd(A,rd(B,B))),A),B) = rd(x100,B),
    inference(cp,[status(thm)],[eq_147,eq_126]) ).

cnf(eq_158,plain,
    rd(mult(rd(A,rd(B,B)),x102),B) = rd(mult(A,x102),B),
    inference(cp,[status(thm)],[eq_147,eq_125]) ).

cnf(eq_159,plain,
    rd(rd(A,rd(B,B)),B) = rd(A,B),
    inference(cp,[status(thm)],[eq_147,eq_120]) ).

cnf(eq_160,plain,
    mult(x100,ld(x100,A)) = mult(rd(mult(x100,ld(x100,ld(A,B))),rd(rd(mult(x100,ld(x100,ld(A,B))),mult(x100,ld(x100,ld(A,B)))),rd(ld(A,B),ld(A,B)))),ld(ld(A,B),A)),
    inference(cp,[status(thm)],[eq_82,eq_152]) ).

cnf(eq_161,plain,
    mult(mult(A,ld(A,mult(A,B))),ld(mult(A,mult(A,ld(A,B))),A)) = A,
    inference(cp,[status(thm)],[eq_2,eq_151]) ).

cnf(eq_162,plain,
    mult(A,B) = rd(mult(A,B),rd(B,B)),
    inference(cp,[status(thm)],[eq_133,eq_147]) ).

cnf(eq_163,plain,
    rd(rd(A,B),rd(rd(A,B),rd(A,B))) = rd(rd(A,B),rd(B,B)),
    inference(cp,[status(thm)],[eq_115,eq_147]) ).

cnf(eq_164,plain,
    rd(A,B) = rd(rd(A,B),rd(B,B)),
    inference(rw,[status(thm)],[eq_163,eq_58]) ).

cnf(eq_165,plain,
    A = mult(mult(A,B),ld(mult(A,B),A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_161,eq_2]),eq_143]),eq_143]) ).

cnf(eq_166,plain,
    rd(mult(A,B),C) = rd(mult(rd(A,rd(C,C)),B),C),
    eq_158 ).

cnf(eq_167,plain,
    mult(A,ld(A,B)) = mult(A,ld(A,rd(B,rd(mult(A,B),mult(A,B))))),
    eq_153 ).

cnf(eq_168,plain,
    A = rd(mult(rd(A,rd(B,rd(A,A))),B),rd(A,A)),
    eq_156 ).

cnf(eq_169,plain,
    rd(A,B) = rd(mult(rd(A,rd(C,rd(B,B))),C),B),
    eq_157 ).

cnf(eq_170,plain,
    mult(A,rd(B,B)) = rd(A,rd(B,B)),
    inference(rw,[status(thm)],[eq_145,eq_147]) ).

cnf(eq_171,plain,
    mult(rd(A,B),B) = rd(A,rd(B,B)),
    inference(rw,[status(thm)],[eq_124,eq_147]) ).

cnf(eq_172,plain,
    rd(mult(A,B),B) = rd(A,rd(B,B)),
    inference(rw,[status(thm)],[eq_110,eq_147]) ).

cnf(eq_173,plain,
    mult(A,rd(B,rd(C,C))) = rd(mult(A,B),rd(C,C)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_172]),eq_172]) ).

cnf(eq_174,plain,
    rd(A,B) = rd(rd(rd(A,rd(B,B)),rd(A,A)),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_109,eq_172]),eq_170]) ).

cnf(eq_175,plain,
    rd(A,rd(B,B)) = rd(A,rd(rd(C,B),rd(C,B))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_62,eq_172]),eq_172]) ).

cnf(eq_176,plain,
    mult(A,ld(A,B)) = mult(rd(mult(A,ld(A,ld(B,C))),rd(ld(B,C),ld(B,C))),ld(ld(B,C),B)),
    inference(rw,[status(thm)],[eq_160,eq_147]) ).

cnf(eq_177,plain,
    mult(A,ld(A,rd(mult(A,ld(A,B)),rd(mult(A,mult(A,ld(A,B))),mult(A,B))))) = mult(A,ld(A,mult(A,ld(A,B)))),
    inference(cp,[status(thm)],[eq_143,eq_167]) ).

cnf(eq_178,plain,
    mult(A,ld(A,B)) = mult(A,ld(A,rd(mult(A,ld(A,B)),rd(mult(A,B),mult(A,B))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_177,eq_143]),eq_2]),eq_142]) ).

cnf(eq_179,plain,
    mult(A,ld(A,rd(B,B))) = rd(rd(A,A),rd(A,rd(A,rd(B,B)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_121,eq_124]),eq_164]),eq_155]) ).

cnf(eq_180,negated_conjecture,
    mult(mult(rd(x3,x3),ld(rd(x3,x3),mult(rd(x5,x5),x3))),x5) != mult(x3,mult(x4,ld(x4,x5))),
    inference(cp,[status(thm)],[eq_51,eq_139]) ).

cnf(eq_181,plain,
    mult(x100,mult(A,B)) = rd(mult(x100,mult(A,B)),rd(B,B)),
    inference(cp,[status(thm)],[eq_162,eq_173]) ).

cnf(eq_182,plain,
    mult(x100,rd(A,rd(A,rd(B,B)))) = rd(mult(x100,rd(A,A)),rd(B,B)),
    inference(cp,[status(thm)],[eq_155,eq_173]) ).

cnf(eq_183,plain,
    mult(rd(mult(x100,ld(x100,ld(A,A))),rd(ld(A,A),ld(A,A))),ld(rd(A,A),A)) = mult(x100,ld(x100,A)),
    inference(cp,[status(thm)],[eq_32,eq_176]) ).

cnf(eq_184,plain,
    rd(x100,rd(rd(mult(A,B),rd(B,B)),mult(A,B))) = rd(x100,rd(rd(B,B),rd(B,B))),
    inference(cp,[status(thm)],[eq_162,eq_175]) ).

cnf(eq_185,plain,
    rd(mult(rd(x100,rd(A,rd(x100,x100))),rd(rd(A,rd(rd(x100,x100),rd(x100,x100))),rd(A,A))),rd(x100,x100)) = x100,
    inference(cp,[status(thm)],[eq_174,eq_168]) ).

cnf(eq_186,plain,
    mult(A,mult(B,C)) = rd(mult(A,mult(B,C)),rd(C,C)),
    eq_181 ).

cnf(eq_187,plain,
    A = rd(rd(A,rd(B,B)),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)],[eq_185,eq_164]),eq_173]),eq_171]),eq_175]),eq_164]),eq_58]) ).

cnf(eq_188,plain,
    rd(A,rd(B,B)) = rd(A,rd(mult(C,B),mult(C,B))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_184,eq_162]),eq_164]) ).

cnf(eq_189,plain,
    mult(A,ld(A,B)) = mult(rd(rd(A,A),rd(A,rd(A,rd(B,B)))),B),
    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_183,eq_32]),eq_32]),eq_32]),eq_132]),eq_179]),eq_164]),eq_154]) ).

cnf(eq_190,plain,
    rd(A,A) = rd(rd(A,rd(B,B)),A),
    inference(cp,[status(thm)],[eq_187,eq_159]) ).

cnf(eq_191,plain,
    rd(rd(mult(A,B),rd(x101,x101)),rd(mult(rd(A,rd(rd(x101,x101),rd(x101,x101))),B),mult(rd(A,rd(rd(x101,x101),rd(x101,x101))),B))) = mult(rd(A,rd(rd(x101,x101),rd(x101,x101))),B),
    inference(cp,[status(thm)],[eq_166,eq_187]) ).

cnf(eq_192,plain,
    rd(mult(rd(x100,rd(rd(x102,x102),rd(x102,x102))),rd(rd(x102,x102),rd(B,B))),x102) = rd(x100,x102),
    inference(cp,[status(thm)],[eq_190,eq_169]) ).

cnf(eq_193,plain,
    rd(A,B) = rd(mult(A,rd(B,rd(B,rd(C,C)))),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_192,eq_164]),eq_155]),eq_166]) ).

cnf(eq_194,plain,
    mult(A,B) = mult(rd(A,rd(C,C)),B),
    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_191,eq_173]),eq_164]),eq_164]),eq_173]),eq_188]),eq_187]),eq_164]) ).

cnf(eq_195,plain,
    mult(A,B) = mult(rd(A,rd(C,rd(C,rd(B,B)))),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_111,eq_172]),eq_170]),eq_194]) ).

cnf(eq_196,plain,
    mult(rd(rd(x101,x101),rd(x101,x101)),x102) = mult(rd(rd(x101,x101),rd(B,B)),x102),
    inference(cp,[status(thm)],[eq_190,eq_194]) ).

cnf(eq_197,plain,
    mult(rd(A,A),B) = mult(rd(A,rd(A,rd(C,C))),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_196,eq_164]),eq_155]) ).

cnf(eq_198,plain,
    rd(mult(A,rd(x101,rd(x101,rd(x102,x102)))),x101) = rd(rd(A,rd(C,C)),x101),
    inference(cp,[status(thm)],[eq_194,eq_193]) ).

cnf(eq_199,plain,
    rd(A,B) = rd(rd(A,rd(C,C)),B),
    inference(rw,[status(thm)],[eq_198,eq_193]) ).

cnf(eq_200,plain,
    mult(A,rd(B,rd(B,rd(C,C)))) = rd(A,rd(C,C)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_182,eq_170]),eq_199]) ).

cnf(eq_201,plain,
    mult(A,ld(A,B)) = mult(rd(A,A),B),
    inference(rw,[status(thm)],[eq_189,eq_195]) ).

cnf(eq_202,plain,
    mult(rd(A,A),ld(A,B)) = ld(A,B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_81,eq_201]),eq_170]),eq_162]) ).

cnf(eq_203,plain,
    mult(A,B) = mult(A,mult(rd(A,A),B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_83,eq_201]),eq_170]),eq_188]),eq_186]) ).

cnf(eq_204,plain,
    mult(mult(rd(A,A),B),C) = mult(rd(A,A),mult(B,C)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_201]),eq_201]),eq_164]) ).

cnf(eq_205,plain,
    mult(rd(A,A),B) = mult(rd(A,A),mult(rd(A,A),B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_178,eq_201]),eq_201]),eq_188]),eq_162]),eq_201]) ).

cnf(eq_206,plain,
    A = mult(rd(mult(A,B),mult(A,B)),A),
    inference(rw,[status(thm)],[eq_165,eq_201]) ).

cnf(eq_207,plain,
    ld(rd(x101,x101),B) = mult(rd(x101,x101),ld(rd(x101,x101),B)),
    inference(cp,[status(thm)],[eq_202,eq_194]) ).

cnf(eq_208,plain,
    mult(rd(A,A),B) = ld(rd(A,A),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_207,eq_201]),eq_164]) ).

cnf(eq_209,negated_conjecture,
    mult(mult(rd(x3,x3),mult(rd(x3,x3),mult(rd(x5,x5),x3))),x5) != mult(x3,mult(x4,ld(x4,x5))),
    inference(rw,[status(thm)],[eq_180,eq_208]) ).

cnf(eq_210,plain,
    mult(rd(A,mult(mult(A,B),ld(mult(A,B),A))),mult(A,B)) = mult(A,B),
    inference(cp,[status(thm)],[eq_165,eq_206]) ).

cnf(eq_211,plain,
    mult(A,B) = mult(rd(A,A),mult(A,B)),
    inference(rw,[status(thm)],[eq_210,eq_165]) ).

cnf(eq_212,negated_conjecture,
    mult(mult(rd(x3,x3),mult(rd(x3,x3),mult(rd(x5,x5),x3))),x5) != mult(x3,mult(rd(x4,x4),x5)),
    inference(rw,[status(thm)],[eq_209,eq_201]) ).

cnf(eq_213,negated_conjecture,
    mult(rd(x3,x3),mult(rd(x5,x5),mult(x3,x5))) != mult(x3,mult(rd(x4,x4),x5)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_212,eq_205]),eq_204]),eq_204]) ).

cnf(eq_214,plain,
    mult(rd(rd(x100,x100),rd(C,C)),x102) = mult(rd(x100,x100),mult(rd(B,rd(B,rd(C,C))),x102)),
    inference(cp,[status(thm)],[eq_200,eq_204]) ).

cnf(eq_215,plain,
    mult(rd(A,A),B) = mult(rd(A,A),mult(rd(C,C),B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_214,eq_155]),eq_197]),eq_197]) ).

cnf(eq_216,plain,
    mult(A,mult(rd(A,A),B)) = mult(A,mult(rd(C,C),B)),
    inference(cp,[status(thm)],[eq_215,eq_203]) ).

cnf(eq_217,plain,
    mult(A,B) = mult(A,mult(rd(C,C),B)),
    inference(rw,[status(thm)],[eq_216,eq_203]) ).

cnf(eq_218,negated_conjecture,
    mult(x3,x5) != mult(x3,x5),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_213,eq_217]),eq_211]),eq_217]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_218]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : GRP683-10 : TPTP v8.1.0. Released v8.1.0.
% 0.13/0.14  % Command  : run_maedmax %d %s
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Jul 26 04:15:08 EDT 2022
% 0.20/0.35  % CPUTime  : 
% 6.68/6.92  % SZS status Unsatisfiable
% 6.68/6.92  % SZS output start CNFRefutation for /tmp/MaedMax_3292
% See solution above
% 6.68/6.93  
%------------------------------------------------------------------------------