TSTP Solution File: GRP688-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP688-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n025.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 07:03:11 EDT 2022
% Result : Unsatisfiable 86.19s 86.46s
% Output : CNFRefutation 86.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 12
% Syntax : Number of clauses : 263 ( 263 unt; 0 nHn; 84 RR)
% Number of literals : 263 ( 262 equ; 15 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 325 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = mult(B,ld(B,A)),
file('/tmp/MaedMax_15434') ).
cnf(eq_1,axiom,
A = ld(B,mult(B,A)),
file('/tmp/MaedMax_15434') ).
cnf(eq_2,axiom,
A = mult(rd(A,B),B),
file('/tmp/MaedMax_15434') ).
cnf(eq_3,axiom,
A = rd(mult(A,B),B),
file('/tmp/MaedMax_15434') ).
cnf(eq_4,axiom,
A = mult(A,unit),
file('/tmp/MaedMax_15434') ).
cnf(eq_5,axiom,
A = mult(unit,A),
file('/tmp/MaedMax_15434') ).
cnf(eq_6,axiom,
mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C),
file('/tmp/MaedMax_15434') ).
cnf(eq_7,axiom,
A = mult(i(B),mult(B,A)),
file('/tmp/MaedMax_15434') ).
cnf(eq_8,axiom,
mult(i(A),i(B)) = i(mult(A,B)),
file('/tmp/MaedMax_15434') ).
cnf(eq_9,axiom,
mult(op_c,mult(op_c,mult(op_c,op_c))) = unit,
file('/tmp/MaedMax_15434') ).
cnf(eq_10,axiom,
mult(op_d,mult(op_d,op_d)) = unit,
file('/tmp/MaedMax_15434') ).
cnf(eq_11,negated_conjecture,
mult(op_c,op_d) != mult(op_d,op_c),
file('/tmp/MaedMax_15434') ).
cnf(eq_12,plain,
mult(op_c,mult(op_c,mult(op_c,op_c))) = mult(op_d,mult(op_d,op_d)),
inference(rw,[status(thm)],[eq_10,eq_9]) ).
cnf(eq_13,plain,
A = mult(A,mult(op_c,mult(op_c,mult(op_c,op_c)))),
inference(rw,[status(thm)],[eq_4,eq_9]) ).
cnf(eq_14,plain,
A = mult(mult(op_c,mult(op_c,mult(op_c,op_c))),A),
inference(rw,[status(thm)],[eq_5,eq_9]) ).
cnf(eq_15,plain,
ld(mult(A,mult(B,A)),mult(A,mult(B,mult(A,C)))) = C,
inference(cp,[status(thm)],[eq_6,eq_1]) ).
cnf(eq_16,plain,
ld(i(B),A) = mult(B,A),
inference(cp,[status(thm)],[eq_7,eq_1]) ).
cnf(eq_17,plain,
ld(i(A),i(mult(A,B))) = i(B),
inference(cp,[status(thm)],[eq_8,eq_1]) ).
cnf(eq_18,plain,
A = mult(x100,mult(x101,mult(x100,ld(mult(x100,mult(x101,x100)),A)))),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_19,plain,
mult(mult(B,A),x102) = mult(B,mult(rd(A,B),mult(B,x102))),
inference(cp,[status(thm)],[eq_2,eq_6]) ).
cnf(eq_20,plain,
mult(i(B),A) = ld(B,A),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_21,plain,
mult(i(rd(A,B)),A) = B,
inference(cp,[status(thm)],[eq_2,eq_7]) ).
cnf(eq_22,plain,
rd(mult(A,mult(B,mult(A,C))),C) = mult(A,mult(B,A)),
inference(cp,[status(thm)],[eq_6,eq_3]) ).
cnf(eq_23,plain,
rd(A,ld(B,A)) = B,
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_24,plain,
rd(A,mult(B,A)) = i(B),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_25,plain,
A = mult(B,mult(C,mult(B,ld(mult(B,mult(C,B)),A)))),
eq_18 ).
cnf(eq_26,plain,
A = mult(i(rd(B,A)),B),
eq_21 ).
cnf(eq_27,plain,
mult(A,mult(rd(B,A),mult(A,C))) = mult(mult(A,B),C),
eq_19 ).
cnf(eq_28,plain,
A = rd(B,ld(A,B)),
eq_23 ).
cnf(eq_29,plain,
ld(A,B) = mult(i(A),B),
eq_20 ).
cnf(eq_30,plain,
ld(i(A),B) = mult(A,B),
eq_16 ).
cnf(eq_31,plain,
A = ld(mult(B,mult(C,B)),mult(B,mult(C,mult(B,A)))),
eq_15 ).
cnf(eq_32,plain,
A = mult(A,mult(op_d,mult(op_d,op_d))),
inference(rw,[status(thm)],[eq_4,eq_10]) ).
cnf(eq_33,plain,
A = mult(op_d,mult(op_d,mult(op_d,A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_10]),eq_6]) ).
cnf(eq_34,plain,
ld(A,ld(i(A),x101)) = x101,
inference(cp,[status(thm)],[eq_29,eq_0]) ).
cnf(eq_35,plain,
mult(mult(A,A),x102) = mult(A,mult(mult(op_c,mult(op_c,mult(op_c,op_c))),mult(A,x102))),
inference(cp,[status(thm)],[eq_14,eq_6]) ).
cnf(eq_36,plain,
rd(A,B) = i(rd(B,A)),
inference(cp,[status(thm)],[eq_26,eq_3]) ).
cnf(eq_37,plain,
rd(ld(A,B),B) = i(A),
inference(cp,[status(thm)],[eq_29,eq_3]) ).
cnf(eq_38,plain,
i(B) = mult(A,i(mult(A,B))),
inference(cp,[status(thm)],[eq_17,eq_30]) ).
cnf(eq_39,plain,
mult(rd(A,mult(B,A)),x101) = ld(B,x101),
inference(cp,[status(thm)],[eq_24,eq_29]) ).
cnf(eq_40,plain,
mult(A,i(mult(A,B))) = i(B),
eq_38 ).
cnf(eq_41,plain,
ld(A,B) = mult(rd(C,mult(A,C)),B),
eq_39 ).
cnf(eq_42,plain,
A = ld(B,ld(i(B),A)),
eq_34 ).
cnf(eq_43,negated_conjecture,
ld(i(op_c),op_d) != mult(op_d,op_c),
inference(cp,[status(thm)],[eq_30,eq_11]) ).
cnf(eq_44,plain,
ld(rd(B,A),ld(rd(A,B),x101)) = x101,
inference(cp,[status(thm)],[eq_36,eq_42]) ).
cnf(eq_45,plain,
A = ld(rd(B,C),ld(rd(C,B),A)),
eq_44 ).
cnf(eq_46,plain,
A = mult(rd(B,C),mult(rd(C,B),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_45,eq_29]),eq_36]),eq_29]),eq_36]) ).
cnf(eq_47,plain,
rd(mult(op_d,mult(op_d,op_d)),A) = i(A),
inference(cp,[status(thm)],[eq_32,eq_24]) ).
cnf(eq_48,plain,
rd(A,mult(op_d,mult(op_d,op_d))) = A,
inference(cp,[status(thm)],[eq_32,eq_3]) ).
cnf(eq_49,plain,
mult(op_d,op_d) = i(op_d),
inference(cp,[status(thm)],[eq_7,eq_32]) ).
cnf(eq_50,plain,
mult(A,mult(A,B)) = mult(mult(A,A),B),
inference(rw,[status(thm)],[eq_35,eq_14]) ).
cnf(eq_51,plain,
rd(ld(A,B),B) = rd(mult(op_d,mult(op_d,op_d)),A),
inference(rw,[status(thm)],[eq_37,eq_47]) ).
cnf(eq_52,plain,
mult(op_d,op_d) = rd(mult(op_d,mult(op_d,op_d)),op_d),
inference(rw,[status(thm)],[eq_49,eq_47]) ).
cnf(eq_53,negated_conjecture,
ld(rd(mult(op_d,mult(op_d,op_d)),op_c),op_d) != mult(op_d,op_c),
inference(rw,[status(thm)],[eq_43,eq_47]) ).
cnf(eq_54,plain,
ld(op_d,A) = mult(op_d,mult(op_d,A)),
inference(cp,[status(thm)],[eq_33,eq_1]) ).
cnf(eq_55,plain,
ld(A,A) = mult(op_d,mult(op_d,op_d)),
inference(cp,[status(thm)],[eq_32,eq_1]) ).
cnf(eq_56,plain,
mult(rd(B,C),A) = ld(rd(C,B),A),
inference(cp,[status(thm)],[eq_45,eq_0]) ).
cnf(eq_57,plain,
ld(rd(A,B),C) = mult(rd(B,A),C),
eq_56 ).
cnf(eq_58,plain,
ld(mult(A,A),mult(A,mult(A,B))) = B,
inference(cp,[status(thm)],[eq_50,eq_1]) ).
cnf(eq_59,plain,
mult(A,mult(A,ld(mult(A,A),x101))) = x101,
inference(cp,[status(thm)],[eq_50,eq_0]) ).
cnf(eq_60,plain,
rd(x100,ld(A,A)) = x100,
inference(cp,[status(thm)],[eq_55,eq_48]) ).
cnf(eq_61,plain,
rd(mult(A,mult(A,B)),B) = mult(A,A),
inference(cp,[status(thm)],[eq_50,eq_3]) ).
cnf(eq_62,plain,
mult(rd(B,A),rd(A,B)) = mult(op_d,mult(op_d,op_d)),
inference(cp,[status(thm)],[eq_57,eq_55]) ).
cnf(eq_63,plain,
ld(mult(op_d,op_d),x102) = mult(rd(op_d,mult(op_d,mult(op_d,op_d))),x102),
inference(cp,[status(thm)],[eq_52,eq_57]) ).
cnf(eq_64,plain,
ld(mult(op_d,op_d),A) = mult(op_d,A),
inference(rw,[status(thm)],[eq_63,eq_48]) ).
cnf(eq_65,plain,
mult(rd(A,B),rd(B,A)) = mult(op_d,mult(op_d,op_d)),
eq_62 ).
cnf(eq_66,plain,
A = mult(B,mult(B,ld(mult(B,B),A))),
eq_59 ).
cnf(eq_67,plain,
A = rd(A,ld(B,B)),
eq_60 ).
cnf(eq_68,plain,
A = ld(mult(B,B),mult(B,mult(B,A))),
eq_58 ).
cnf(eq_69,negated_conjecture,
ld(rd(ld(A,A),op_c),op_d) != mult(op_d,op_c),
inference(cp,[status(thm)],[eq_55,eq_53]) ).
cnf(eq_70,plain,
ld(B,A) = mult(B,ld(mult(B,B),A)),
inference(cp,[status(thm)],[eq_66,eq_1]) ).
cnf(eq_71,plain,
ld(A,mult(op_d,mult(op_d,op_d))) = rd(C,mult(A,C)),
inference(cp,[status(thm)],[eq_41,eq_32]) ).
cnf(eq_72,plain,
mult(mult(B,ld(A,B)),x102) = mult(B,mult(rd(C,mult(A,C)),mult(B,x102))),
inference(cp,[status(thm)],[eq_41,eq_6]) ).
cnf(eq_73,plain,
rd(mult(op_d,mult(op_d,op_d)),A) = ld(A,mult(op_d,mult(op_d,op_d))),
inference(cp,[status(thm)],[eq_51,eq_48]) ).
cnf(eq_74,plain,
rd(unit,mult(op_c,mult(op_c,op_c))) = op_c,
inference(cp,[status(thm)],[eq_9,eq_3]) ).
cnf(eq_75,plain,
ld(mult(mult(A,A),mult(A,A)),mult(mult(A,A),mult(A,mult(A,B)))) = B,
inference(cp,[status(thm)],[eq_50,eq_68]) ).
cnf(eq_76,plain,
ld(mult(B,B),mult(B,A)) = ld(B,A),
inference(cp,[status(thm)],[eq_0,eq_68]) ).
cnf(eq_77,plain,
mult(rd(mult(op_c,mult(op_c,op_c)),unit),x102) = ld(op_c,x102),
inference(cp,[status(thm)],[eq_9,eq_41]) ).
cnf(eq_78,plain,
rd(mult(B,A),ld(B,A)) = mult(B,B),
inference(cp,[status(thm)],[eq_0,eq_61]) ).
cnf(eq_79,plain,
rd(mult(rd(A,B),A),B) = mult(rd(A,B),rd(A,B)),
inference(cp,[status(thm)],[eq_2,eq_61]) ).
cnf(eq_80,plain,
ld(op_c,A) = mult(op_c,mult(op_c,mult(op_c,A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_77,eq_10]),eq_48]),eq_6]) ).
cnf(eq_81,plain,
A = ld(mult(B,mult(B,mult(B,B))),mult(B,mult(B,mult(B,mult(B,A))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_75,eq_50]),eq_50]) ).
cnf(eq_82,plain,
ld(A,mult(op_d,mult(op_d,op_d))) = rd(B,mult(A,B)),
eq_71 ).
cnf(eq_83,plain,
mult(A,A) = rd(mult(A,B),ld(A,B)),
eq_78 ).
cnf(eq_84,plain,
ld(A,B) = ld(mult(A,A),mult(A,B)),
eq_76 ).
cnf(eq_85,plain,
mult(rd(A,B),rd(A,B)) = rd(mult(rd(A,B),A),B),
eq_79 ).
cnf(eq_86,plain,
ld(A,B) = mult(A,ld(mult(A,A),B)),
eq_70 ).
cnf(eq_87,negated_conjecture,
ld(rd(mult(rd(C,mult(B,C)),B),op_c),op_d) != mult(op_d,op_c),
inference(cp,[status(thm)],[eq_41,eq_69]) ).
cnf(eq_88,negated_conjecture,
mult(rd(op_c,mult(rd(A,mult(B,A)),B)),op_d) != mult(op_d,op_c),
inference(rw,[status(thm)],[eq_87,eq_57]) ).
cnf(eq_89,plain,
A = rd(A,unit),
inference(cp,[status(thm)],[eq_2,eq_4]) ).
cnf(eq_90,plain,
rd(B,mult(A,mult(A,B))) = i(mult(A,A)),
inference(cp,[status(thm)],[eq_50,eq_24]) ).
cnf(eq_91,plain,
rd(unit,A) = i(A),
inference(cp,[status(thm)],[eq_4,eq_24]) ).
cnf(eq_92,plain,
rd(i(op_d),op_d) = op_d,
inference(cp,[status(thm)],[eq_49,eq_3]) ).
cnf(eq_93,plain,
rd(rd(unit,op_d),op_d) = op_d,
inference(cp,[status(thm)],[eq_91,eq_92]) ).
cnf(eq_94,plain,
rd(A,B) = rd(unit,rd(B,A)),
inference(cp,[status(thm)],[eq_36,eq_91]) ).
cnf(eq_95,plain,
rd(mult(op_c,mult(op_c,mult(op_c,op_c))),A) = i(A),
inference(cp,[status(thm)],[eq_13,eq_24]) ).
cnf(eq_96,plain,
rd(A,mult(B,A)) = rd(unit,B),
inference(rw,[status(thm)],[eq_24,eq_91]) ).
cnf(eq_97,plain,
mult(A,rd(unit,mult(A,B))) = rd(unit,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_40,eq_91]),eq_91]) ).
cnf(eq_98,plain,
mult(rd(mult(op_c,mult(op_c,op_c)),unit),mult(op_c,x102)) = x102,
inference(cp,[status(thm)],[eq_74,eq_46]) ).
cnf(eq_99,plain,
A = mult(op_c,mult(op_c,mult(op_c,mult(op_c,A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_98,eq_89]),eq_6]) ).
cnf(eq_100,plain,
rd(mult(A,rd(unit,mult(A,op_d))),op_d) = op_d,
inference(cp,[status(thm)],[eq_97,eq_93]) ).
cnf(eq_101,negated_conjecture,
mult(rd(op_c,mult(rd(mult(op_c,mult(op_c,mult(op_c,A))),A),op_c)),op_d) != mult(op_d,op_c),
inference(cp,[status(thm)],[eq_99,eq_88]) ).
cnf(eq_102,negated_conjecture,
mult(rd(A,mult(op_c,mult(op_c,mult(op_c,A)))),op_d) != mult(op_d,op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_101,eq_96]),eq_94]) ).
cnf(eq_103,plain,
ld(A,B) = mult(rd(mult(op_c,mult(op_c,mult(op_c,op_c))),A),B),
inference(rw,[status(thm)],[eq_29,eq_95]) ).
cnf(eq_104,plain,
ld(mult(op_c,op_c),A) = mult(op_c,mult(op_c,A)),
inference(cp,[status(thm)],[eq_99,eq_68]) ).
cnf(eq_105,plain,
mult(A,ld(B,mult(A,C))) = mult(mult(A,ld(B,A)),C),
inference(rw,[status(thm)],[eq_72,eq_41]) ).
cnf(eq_106,plain,
ld(B,A) = mult(C,mult(B,ld(mult(B,mult(C,B)),A))),
inference(cp,[status(thm)],[eq_25,eq_1]) ).
cnf(eq_107,plain,
mult(rd(ld(mult(A,A),B),ld(A,B)),x102) = ld(A,x102),
inference(cp,[status(thm)],[eq_86,eq_41]) ).
cnf(eq_108,plain,
ld(mult(A,A),A) = ld(A,mult(op_c,mult(op_c,mult(op_c,op_c)))),
inference(cp,[status(thm)],[eq_13,eq_84]) ).
cnf(eq_109,plain,
ld(mult(rd(A,B),rd(A,B)),A) = ld(rd(A,B),B),
inference(cp,[status(thm)],[eq_2,eq_84]) ).
cnf(eq_110,plain,
ld(mult(op_c,mult(op_c,op_c)),A) = mult(op_c,A),
inference(cp,[status(thm)],[eq_99,eq_31]) ).
cnf(eq_111,plain,
ld(mult(op_d,mult(x101,op_d)),mult(op_d,mult(x101,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(op_d,op_d),
inference(cp,[status(thm)],[eq_12,eq_31]) ).
cnf(eq_112,plain,
rd(A,ld(rd(A,B),B)) = mult(rd(A,B),rd(A,B)),
inference(cp,[status(thm)],[eq_2,eq_83]) ).
cnf(eq_113,plain,
ld(A,B) = mult(rd(ld(mult(A,A),C),ld(A,C)),B),
eq_107 ).
cnf(eq_114,plain,
ld(A,B) = mult(C,mult(A,ld(mult(A,mult(C,A)),B))),
eq_106 ).
cnf(eq_115,plain,
mult(rd(A,B),rd(A,B)) = rd(A,mult(rd(B,A),B)),
inference(rw,[status(thm)],[eq_112,eq_57]) ).
cnf(eq_116,plain,
ld(A,mult(op_c,mult(op_c,mult(op_c,op_c)))) = ld(mult(A,A),A),
eq_108 ).
cnf(eq_117,plain,
ld(mult(op_d,mult(A,op_d)),mult(op_d,A)) = mult(op_d,op_d),
inference(rw,[status(thm)],[eq_111,eq_13]) ).
cnf(eq_118,plain,
ld(A,mult(mult(A,B),C)) = mult(rd(B,A),mult(A,C)),
inference(cp,[status(thm)],[eq_27,eq_1]) ).
cnf(eq_119,plain,
mult(op_c,mult(rd(x101,op_c),unit)) = mult(mult(op_c,x101),mult(op_c,mult(op_c,op_c))),
inference(cp,[status(thm)],[eq_9,eq_27]) ).
cnf(eq_120,plain,
mult(B,mult(rd(x101,B),A)) = mult(mult(B,x101),ld(B,A)),
inference(cp,[status(thm)],[eq_0,eq_27]) ).
cnf(eq_121,plain,
ld(A,unit) = i(A),
inference(cp,[status(thm)],[eq_29,eq_4]) ).
cnf(eq_122,plain,
rd(mult(x100,ld(A,mult(x100,x102))),x102) = mult(x100,mult(i(A),x100)),
inference(cp,[status(thm)],[eq_29,eq_22]) ).
cnf(eq_123,plain,
rd(mult(x100,A),x102) = mult(x100,mult(rd(A,mult(x100,x102)),x100)),
inference(cp,[status(thm)],[eq_2,eq_22]) ).
cnf(eq_124,plain,
rd(mult(op_c,mult(x101,unit)),mult(op_c,mult(op_c,op_c))) = mult(op_c,mult(x101,op_c)),
inference(cp,[status(thm)],[eq_9,eq_22]) ).
cnf(eq_125,plain,
rd(mult(op_d,mult(x101,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,op_d)) = mult(op_d,mult(x101,op_d)),
inference(cp,[status(thm)],[eq_12,eq_22]) ).
cnf(eq_126,plain,
rd(mult(B,mult(x101,A)),ld(B,A)) = mult(B,mult(x101,B)),
inference(cp,[status(thm)],[eq_0,eq_22]) ).
cnf(eq_127,plain,
mult(op_c,mult(A,op_c)) = rd(mult(op_c,A),mult(op_c,mult(op_c,op_c))),
inference(rw,[status(thm)],[eq_124,eq_4]) ).
cnf(eq_128,plain,
mult(mult(op_c,A),mult(op_c,mult(op_c,op_c))) = mult(op_c,rd(A,op_c)),
inference(rw,[status(thm)],[eq_119,eq_4]) ).
cnf(eq_129,plain,
mult(A,ld(B,A)) = rd(mult(A,ld(B,mult(A,C))),C),
inference(rw,[status(thm)],[eq_122,eq_29]) ).
cnf(eq_130,plain,
mult(A,mult(rd(B,mult(A,C)),A)) = rd(mult(A,B),C),
eq_123 ).
cnf(eq_131,plain,
mult(op_d,mult(A,op_d)) = rd(mult(op_d,A),mult(op_d,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_125,eq_9]),eq_4]) ).
cnf(eq_132,plain,
mult(A,mult(rd(B,A),C)) = mult(mult(A,B),ld(A,C)),
eq_120 ).
cnf(eq_133,plain,
mult(A,mult(B,A)) = rd(mult(A,mult(B,C)),ld(A,C)),
eq_126 ).
cnf(eq_134,plain,
i(A) = ld(A,mult(op_d,mult(op_d,op_d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_121,eq_9]),eq_12]) ).
cnf(eq_135,plain,
ld(A,B) = mult(ld(A,mult(op_d,mult(op_d,op_d))),B),
inference(rw,[status(thm)],[eq_41,eq_82]) ).
cnf(eq_136,plain,
ld(mult(A,A),A) = ld(A,mult(op_d,mult(op_d,op_d))),
inference(cp,[status(thm)],[eq_32,eq_84]) ).
cnf(eq_137,plain,
ld(mult(A,A),mult(op_d,mult(op_d,op_d))) = rd(B,mult(A,mult(A,B))),
inference(rw,[status(thm)],[eq_90,eq_134]) ).
cnf(eq_138,plain,
ld(A,mult(op_d,mult(op_d,op_d))) = ld(mult(A,A),A),
eq_136 ).
cnf(eq_139,plain,
ld(mult(op_d,mult(mult(op_d,mult(op_d,A)),op_d)),A) = mult(op_d,op_d),
inference(cp,[status(thm)],[eq_33,eq_117]) ).
cnf(eq_140,plain,
rd(A,mult(op_d,op_d)) = mult(op_d,mult(mult(op_d,mult(op_d,A)),op_d)),
inference(cp,[status(thm)],[eq_33,eq_131]) ).
cnf(eq_141,plain,
rd(mult(A,ld(mult(A,op_d),mult(op_d,mult(op_d,op_d)))),op_d) = op_d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_100,eq_10]),eq_73]) ).
cnf(eq_142,plain,
mult(rd(A,B),A) = mult(rd(A,mult(rd(B,A),B)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_109,eq_85]),eq_57]),eq_57]) ).
cnf(eq_143,plain,
ld(C,ld(A,B)) = mult(A,ld(mult(A,mult(C,A)),B)),
inference(cp,[status(thm)],[eq_114,eq_1]) ).
cnf(eq_144,plain,
ld(A,ld(B,C)) = mult(B,ld(mult(B,mult(A,B)),C)),
eq_143 ).
cnf(eq_145,plain,
mult(ld(mult(B,B),B),x102) = ld(B,x102),
inference(cp,[status(thm)],[eq_67,eq_113]) ).
cnf(eq_146,plain,
ld(A,B) = mult(ld(mult(A,A),A),B),
eq_145 ).
cnf(eq_147,plain,
ld(op_c,mult(mult(op_c,A),mult(op_c,mult(op_c,op_c)))) = rd(A,op_c),
inference(cp,[status(thm)],[eq_128,eq_1]) ).
cnf(eq_148,plain,
ld(A,mult(mult(A,B),ld(A,C))) = mult(rd(B,A),C),
inference(cp,[status(thm)],[eq_132,eq_1]) ).
cnf(eq_149,plain,
ld(A,ld(ld(mult(A,A),A),x101)) = x101,
inference(cp,[status(thm)],[eq_146,eq_0]) ).
cnf(eq_150,plain,
mult(rd(A,B),ld(A,mult(mult(A,B),C))) = mult(A,C),
inference(cp,[status(thm)],[eq_118,eq_46]) ).
cnf(eq_151,plain,
rd(ld(A,mult(mult(A,B),C)),mult(A,C)) = rd(B,A),
inference(cp,[status(thm)],[eq_118,eq_3]) ).
cnf(eq_152,plain,
mult(B,mult(rd(x101,A),B)) = rd(mult(B,x101),ld(B,A)),
inference(cp,[status(thm)],[eq_0,eq_130]) ).
cnf(eq_153,plain,
mult(mult(A,x101),ld(mult(A,A),A)) = mult(A,mult(rd(x101,A),mult(op_c,mult(op_c,mult(op_c,op_c))))),
inference(cp,[status(thm)],[eq_116,eq_132]) ).
cnf(eq_154,plain,
rd(A,x102) = mult(A,mult(rd(mult(op_c,mult(op_c,mult(op_c,op_c))),mult(A,x102)),A)),
inference(cp,[status(thm)],[eq_13,eq_130]) ).
cnf(eq_155,plain,
rd(mult(A,mult(x101,mult(op_c,mult(op_c,mult(op_c,op_c))))),ld(mult(A,A),A)) = mult(A,mult(x101,A)),
inference(cp,[status(thm)],[eq_116,eq_133]) ).
cnf(eq_156,plain,
rd(A,mult(op_c,mult(op_c,op_c))) = mult(op_c,mult(ld(op_c,A),op_c)),
inference(cp,[status(thm)],[eq_0,eq_127]) ).
cnf(eq_157,plain,
mult(A,B) = mult(rd(A,C),ld(A,mult(mult(A,C),B))),
eq_150 ).
cnf(eq_158,plain,
mult(A,ld(mult(A,B),A)) = rd(A,B),
inference(rw,[status(thm)],[eq_154,eq_103]) ).
cnf(eq_159,plain,
mult(A,mult(rd(B,C),A)) = rd(mult(A,B),ld(A,C)),
eq_152 ).
cnf(eq_160,plain,
A = ld(B,ld(ld(mult(B,B),B),A)),
eq_149 ).
cnf(eq_161,plain,
mult(A,mult(B,A)) = rd(mult(A,B),ld(mult(A,A),A)),
inference(rw,[status(thm)],[eq_155,eq_13]) ).
cnf(eq_162,plain,
mult(A,rd(B,A)) = mult(mult(A,B),ld(mult(A,A),A)),
inference(rw,[status(thm)],[eq_153,eq_13]) ).
cnf(eq_163,plain,
rd(A,B) = rd(ld(B,mult(mult(B,A),C)),mult(B,C)),
eq_151 ).
cnf(eq_164,plain,
ld(A,rd(A,B)) = ld(mult(A,B),A),
inference(cp,[status(thm)],[eq_158,eq_1]) ).
cnf(eq_165,plain,
mult(B,A) = ld(ld(mult(B,B),B),A),
inference(cp,[status(thm)],[eq_160,eq_0]) ).
cnf(eq_166,plain,
mult(rd(A,B),x102) = mult(A,ld(mult(A,B),mult(A,x102))),
inference(cp,[status(thm)],[eq_158,eq_105]) ).
cnf(eq_167,plain,
mult(A,ld(mult(A,B),mult(A,C))) = mult(rd(A,B),C),
eq_166 ).
cnf(eq_168,plain,
ld(ld(mult(A,A),A),B) = mult(A,B),
eq_165 ).
cnf(eq_169,plain,
ld(mult(A,B),A) = ld(mult(mult(A,B),B),mult(A,B)),
inference(cp,[status(thm)],[eq_3,eq_164]) ).
cnf(eq_170,plain,
mult(C,ld(mult(mult(C,B),ld(C,C)),x102)) = ld(rd(B,C),ld(C,x102)),
inference(cp,[status(thm)],[eq_132,eq_144]) ).
cnf(eq_171,plain,
mult(A,ld(mult(A,B),C)) = mult(rd(A,B),ld(A,C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_170,eq_55]),eq_32]),eq_57]) ).
cnf(eq_172,plain,
mult(op_d,op_d) = mult(A,ld(mult(A,op_d),mult(op_d,mult(op_d,op_d)))),
inference(cp,[status(thm)],[eq_141,eq_2]) ).
cnf(eq_173,plain,
rd(mult(x100,ld(mult(mult(x100,op_d),mult(x100,op_d)),mult(x100,op_d))),op_d) = op_d,
inference(cp,[status(thm)],[eq_138,eq_141]) ).
cnf(eq_174,plain,
mult(A,ld(mult(A,op_d),mult(op_d,mult(op_d,op_d)))) = mult(op_d,op_d),
eq_172 ).
cnf(eq_175,plain,
mult(A,ld(mult(mult(A,op_d),mult(A,op_d)),A)) = op_d,
inference(rw,[status(thm)],[eq_173,eq_129]) ).
cnf(eq_176,plain,
ld(A,op_d) = ld(mult(mult(A,op_d),mult(A,op_d)),A),
inference(cp,[status(thm)],[eq_175,eq_1]) ).
cnf(eq_177,plain,
mult(rd(A,op_d),ld(mult(mult(rd(A,op_d),op_d),A),rd(A,op_d))) = op_d,
inference(cp,[status(thm)],[eq_2,eq_175]) ).
cnf(eq_178,plain,
rd(A,ld(mult(B,B),B)) = mult(B,mult(ld(B,A),B)),
inference(cp,[status(thm)],[eq_0,eq_161]) ).
cnf(eq_179,plain,
mult(rd(A,op_d),ld(mult(A,A),rd(A,op_d))) = op_d,
inference(rw,[status(thm)],[eq_177,eq_2]) ).
cnf(eq_180,plain,
mult(A,mult(ld(A,B),A)) = rd(B,ld(mult(A,A),A)),
eq_178 ).
cnf(eq_181,plain,
mult(mult(A,op_d),ld(A,op_d)) = ld(mult(A,op_d),A),
inference(cp,[status(thm)],[eq_176,eq_86]) ).
cnf(eq_182,plain,
ld(mult(mult(rd(A,op_d),op_d),A),rd(A,op_d)) = ld(rd(A,op_d),op_d),
inference(cp,[status(thm)],[eq_2,eq_176]) ).
cnf(eq_183,plain,
mult(rd(op_c,op_d),mult(op_c,mult(op_c,rd(op_c,op_d)))) = op_d,
inference(cp,[status(thm)],[eq_104,eq_179]) ).
cnf(eq_184,plain,
ld(mult(A,A),rd(A,op_d)) = mult(rd(op_d,A),op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_182,eq_2]),eq_57]) ).
cnf(eq_185,plain,
mult(rd(A,op_d),ld(A,ld(mult(A,op_d),A))) = mult(A,ld(A,op_d)),
inference(cp,[status(thm)],[eq_181,eq_157]) ).
cnf(eq_186,plain,
rd(mult(op_c,mult(op_c,rd(op_c,op_d))),op_d) = i(rd(op_c,op_d)),
inference(cp,[status(thm)],[eq_183,eq_24]) ).
cnf(eq_187,plain,
rd(rd(A,op_d),mult(rd(op_d,A),op_d)) = mult(A,A),
inference(cp,[status(thm)],[eq_184,eq_28]) ).
cnf(eq_188,plain,
rd(ld(A,ld(mult(A,op_d),A)),mult(A,ld(A,op_d))) = rd(op_d,A),
inference(cp,[status(thm)],[eq_181,eq_163]) ).
cnf(eq_189,plain,
rd(mult(op_c,mult(op_c,rd(op_c,op_d))),op_d) = rd(op_d,op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_186,eq_134]),eq_57]),eq_32]) ).
cnf(eq_190,plain,
mult(rd(A,op_d),ld(A,ld(mult(A,op_d),A))) = op_d,
inference(rw,[status(thm)],[eq_185,eq_0]) ).
cnf(eq_191,plain,
rd(ld(A,ld(mult(A,op_d),A)),op_d) = rd(op_d,A),
inference(rw,[status(thm)],[eq_188,eq_0]) ).
cnf(eq_192,plain,
mult(rd(mult(op_c,op_c),op_d),mult(op_c,mult(op_c,ld(mult(mult(op_c,op_c),op_d),mult(op_c,op_c))))) = op_d,
inference(cp,[status(thm)],[eq_104,eq_190]) ).
cnf(eq_193,plain,
rd(mult(op_c,mult(op_c,ld(mult(mult(op_c,op_c),op_d),mult(op_c,op_c)))),op_d) = rd(op_d,mult(op_c,op_c)),
inference(cp,[status(thm)],[eq_104,eq_191]) ).
cnf(eq_194,plain,
mult(rd(mult(op_c,op_c),op_d),rd(mult(op_c,op_c),op_d)) = op_d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_192,eq_50]),eq_167]),eq_130]) ).
cnf(eq_195,plain,
rd(rd(mult(op_c,op_c),op_d),op_d) = rd(op_d,mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_193,eq_50]),eq_167]),eq_130]) ).
cnf(eq_196,negated_conjecture,
mult(rd(ld(mult(op_c,mult(op_c,mult(op_c,op_d))),ld(mult(mult(op_c,mult(op_c,mult(op_c,op_d))),op_d),mult(op_c,mult(op_c,mult(op_c,op_d))))),op_d),op_d) != mult(op_d,op_c),
inference(cp,[status(thm)],[eq_191,eq_102]) ).
cnf(eq_197,negated_conjecture,
ld(ld(op_c,op_d),ld(mult(ld(op_c,op_d),op_d),ld(op_c,op_d))) != mult(op_d,op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_196,eq_80]),eq_80]),eq_80]),eq_2]) ).
cnf(eq_198,plain,
rd(mult(op_c,op_c),mult(rd(op_d,mult(op_c,op_c)),op_d)) = op_d,
inference(rw,[status(thm)],[eq_194,eq_115]) ).
cnf(eq_199,plain,
ld(rd(mult(op_c,op_c),op_d),rd(op_d,mult(op_c,op_c))) = ld(mult(rd(mult(op_c,op_c),op_d),op_d),rd(mult(op_c,op_c),op_d)),
inference(cp,[status(thm)],[eq_195,eq_164]) ).
cnf(eq_200,plain,
mult(rd(op_d,A),mult(mult(A,A),rd(op_d,A))) = rd(mult(rd(op_d,A),rd(A,op_d)),op_d),
inference(cp,[status(thm)],[eq_187,eq_130]) ).
cnf(eq_201,plain,
mult(rd(op_d,mult(op_c,op_c)),op_d) = rd(mult(op_c,op_c),op_d),
inference(cp,[status(thm)],[eq_195,eq_2]) ).
cnf(eq_202,plain,
ld(A,mult(mult(A,op_d),mult(A,rd(op_d,A)))) = mult(op_d,op_d),
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_200,eq_50]),eq_118]),eq_65]),eq_73]),eq_54]),eq_33]) ).
cnf(eq_203,plain,
mult(op_d,op_d) = mult(rd(mult(op_c,op_c),op_d),mult(op_c,op_c)),
inference(cp,[status(thm)],[eq_198,eq_142]) ).
cnf(eq_204,plain,
rd(mult(op_c,op_c),rd(mult(op_c,op_c),op_d)) = op_d,
inference(cp,[status(thm)],[eq_201,eq_198]) ).
cnf(eq_205,plain,
mult(rd(mult(op_c,op_c),op_d),mult(op_c,op_c)) = mult(op_d,op_d),
eq_203 ).
cnf(eq_206,plain,
mult(op_c,mult(op_c,rd(mult(op_c,op_c),op_d))) = mult(op_d,op_d),
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_199,eq_57]),eq_115]),eq_205]),eq_140]),eq_6]),eq_33]),eq_2]),eq_104]) ).
cnf(eq_207,plain,
ld(mult(op_c,op_c),mult(op_d,op_d)) = ld(op_c,mult(op_c,rd(mult(op_c,op_c),op_d))),
inference(cp,[status(thm)],[eq_206,eq_84]) ).
cnf(eq_208,plain,
mult(op_c,mult(op_c,mult(op_d,op_d))) = rd(mult(op_c,op_c),op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_207,eq_104]),eq_1]) ).
cnf(eq_209,plain,
rd(mult(op_c,op_c),mult(op_c,mult(op_c,mult(op_d,op_d)))) = op_d,
inference(rw,[status(thm)],[eq_204,eq_208]) ).
cnf(eq_210,plain,
rd(mult(op_d,op_d),ld(mult(A,A),A)) = mult(A,mult(ld(mult(A,op_d),mult(op_d,mult(op_d,op_d))),A)),
inference(cp,[status(thm)],[eq_174,eq_161]) ).
cnf(eq_211,plain,
rd(A,op_d) = rd(mult(op_d,op_d),ld(mult(A,A),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_210,eq_135]),eq_158]) ).
cnf(eq_212,plain,
mult(A,mult(ld(A,mult(op_d,op_d)),A)) = rd(A,op_d),
inference(rw,[status(thm)],[eq_211,eq_180]) ).
cnf(eq_213,plain,
ld(A,mult(rd(A,op_d),ld(A,x102))) = mult(rd(mult(ld(A,mult(op_d,op_d)),A),A),x102),
inference(cp,[status(thm)],[eq_212,eq_148]) ).
cnf(eq_214,plain,
mult(A,ld(rd(A,op_d),mult(A,x102))) = mult(rd(A,mult(ld(A,mult(op_d,op_d)),A)),x102),
inference(cp,[status(thm)],[eq_212,eq_167]) ).
cnf(eq_215,plain,
mult(mult(op_c,mult(op_c,op_c)),mult(mult(op_c,mult(op_d,op_d)),mult(op_c,mult(op_c,op_c)))) = rd(mult(op_c,mult(op_c,op_c)),op_d),
inference(cp,[status(thm)],[eq_110,eq_212]) ).
cnf(eq_216,plain,
ld(ld(A,mult(op_d,op_d)),B) = mult(mult(A,op_d),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_214,eq_57]),eq_118]),eq_0]),eq_82]),eq_135]) ).
cnf(eq_217,plain,
ld(mult(A,op_d),B) = mult(ld(A,mult(op_d,op_d)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_213,eq_171]),eq_1]),eq_3]) ).
cnf(eq_218,plain,
rd(mult(op_c,mult(op_c,op_c)),op_d) = rd(mult(op_d,op_d),op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_215,eq_6]),eq_80]),eq_147]) ).
cnf(eq_219,plain,
ld(mult(A,mult(op_d,op_d)),x101) = mult(mult(ld(mult(A,A),A),op_d),x101),
inference(cp,[status(thm)],[eq_168,eq_216]) ).
cnf(eq_220,plain,
mult(mult(op_c,mult(op_d,op_d)),x101) = ld(mult(mult(op_c,mult(op_c,op_c)),op_d),x101),
inference(cp,[status(thm)],[eq_110,eq_217]) ).
cnf(eq_221,plain,
mult(mult(A,mult(op_d,op_d)),x101) = ld(mult(ld(mult(A,A),A),op_d),x101),
inference(cp,[status(thm)],[eq_168,eq_217]) ).
cnf(eq_222,plain,
mult(rd(mult(op_d,op_d),op_c),op_d) = mult(op_c,mult(op_c,op_c)),
inference(cp,[status(thm)],[eq_218,eq_2]) ).
cnf(eq_223,plain,
ld(mult(A,mult(op_d,op_d)),B) = mult(ld(A,op_d),B),
inference(rw,[status(thm)],[eq_219,eq_146]) ).
cnf(eq_224,plain,
ld(ld(op_c,op_d),A) = mult(mult(op_c,mult(op_d,op_d)),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_220,eq_6]),eq_80]) ).
cnf(eq_225,plain,
ld(ld(A,op_d),B) = mult(mult(A,mult(op_d,op_d)),B),
inference(rw,[status(thm)],[eq_221,eq_146]) ).
cnf(eq_226,plain,
mult(op_d,op_d) = mult(op_c,mult(mult(mult(op_c,mult(op_c,op_c)),op_d),mult(mult(op_c,mult(op_c,op_c)),rd(op_d,mult(op_c,mult(op_c,op_c)))))),
inference(cp,[status(thm)],[eq_202,eq_110]) ).
cnf(eq_227,plain,
rd(op_d,mult(op_c,mult(op_c,op_c))) = i(rd(mult(op_d,op_d),op_c)),
inference(cp,[status(thm)],[eq_222,eq_24]) ).
cnf(eq_228,plain,
mult(op_c,mult(ld(op_c,op_d),mult(ld(op_c,op_d),op_c))) = mult(op_d,op_d),
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_226,eq_6]),eq_156]),eq_80]),eq_6]),eq_80]),eq_0]) ).
cnf(eq_229,negated_conjecture,
mult(mult(op_c,mult(op_d,op_d)),ld(mult(ld(op_c,op_d),op_d),ld(op_c,op_d))) != mult(op_d,op_c),
inference(cp,[status(thm)],[eq_224,eq_197]) ).
cnf(eq_230,plain,
rd(mult(op_c,op_c),mult(op_c,mult(op_c,mult(op_c,mult(ld(op_c,op_d),mult(ld(op_c,op_d),op_c)))))) = op_d,
inference(cp,[status(thm)],[eq_228,eq_209]) ).
cnf(eq_231,plain,
mult(op_c,ld(mult(ld(op_c,op_d),ld(op_c,op_d)),op_c)) = op_d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_230,eq_80]),eq_159]),eq_137]),eq_135]) ).
cnf(eq_232,plain,
ld(mult(op_c,mult(op_c,mult(op_c,op_c))),mult(op_c,mult(op_c,mult(op_c,op_d)))) = ld(mult(ld(op_c,op_d),ld(op_c,op_d)),op_c),
inference(cp,[status(thm)],[eq_231,eq_81]) ).
cnf(eq_233,plain,
ld(mult(ld(op_c,op_d),ld(op_c,op_d)),op_c) = ld(op_c,op_d),
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_232,eq_80]),eq_80]),eq_55]),eq_223]),eq_54]),eq_6]),eq_33]) ).
cnf(eq_234,plain,
mult(mult(ld(op_c,op_d),ld(op_c,op_d)),ld(op_c,op_d)) = op_c,
inference(cp,[status(thm)],[eq_233,eq_0]) ).
cnf(eq_235,plain,
mult(ld(op_c,op_d),mult(ld(op_c,op_d),ld(op_c,op_d))) = op_c,
inference(rw,[status(thm)],[eq_234,eq_50]) ).
cnf(eq_236,plain,
ld(mult(ld(op_c,op_d),mult(ld(op_c,op_d),mult(ld(op_c,op_d),ld(op_c,op_d)))),mult(ld(op_c,op_d),mult(ld(op_c,op_d),op_c))) = ld(op_c,op_d),
inference(cp,[status(thm)],[eq_235,eq_81]) ).
cnf(eq_237,plain,
rd(mult(ld(op_c,op_d),op_c),ld(op_c,op_d)) = mult(ld(op_c,op_d),mult(ld(op_c,op_d),ld(op_c,op_d))),
inference(cp,[status(thm)],[eq_235,eq_22]) ).
cnf(eq_238,plain,
rd(mult(ld(op_c,op_d),op_c),ld(op_c,op_d)) = op_c,
inference(rw,[status(thm)],[eq_237,eq_235]) ).
cnf(eq_239,plain,
mult(op_c,ld(op_c,op_d)) = mult(ld(op_c,op_d),op_c),
inference(cp,[status(thm)],[eq_238,eq_2]) ).
cnf(eq_240,plain,
mult(ld(op_c,op_d),op_c) = op_d,
inference(rw,[status(thm)],[eq_239,eq_0]) ).
cnf(eq_241,plain,
mult(op_c,mult(ld(op_c,op_d),op_d)) = mult(op_d,op_d),
inference(rw,[status(thm)],[eq_228,eq_240]) ).
cnf(eq_242,plain,
rd(op_c,op_d) = i(ld(op_c,op_d)),
inference(cp,[status(thm)],[eq_240,eq_24]) ).
cnf(eq_243,plain,
rd(op_d,op_c) = ld(op_c,op_d),
inference(cp,[status(thm)],[eq_240,eq_3]) ).
cnf(eq_244,plain,
mult(op_c,mult(op_d,op_d)) = rd(op_c,op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_242,eq_134]),eq_225]),eq_32]) ).
cnf(eq_245,plain,
ld(op_c,op_d) = mult(op_d,mult(op_d,mult(ld(op_c,op_d),op_d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_236,eq_235]),eq_240]),eq_240]),eq_54]) ).
cnf(eq_246,plain,
mult(op_c,op_d) = mult(op_d,mult(mult(op_d,mult(op_d,op_c)),op_d)),
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_227,eq_156]),eq_240]),eq_134]),eq_57]),eq_140]),eq_6]),eq_33]) ).
cnf(eq_247,plain,
ld(op_c,mult(mult(op_c,op_d),mult(op_c,ld(op_c,op_d)))) = mult(op_d,op_d),
inference(cp,[status(thm)],[eq_243,eq_202]) ).
cnf(eq_248,plain,
ld(mult(mult(op_c,mult(ld(op_c,op_d),op_d)),mult(ld(op_c,op_d),op_d)),mult(op_d,op_d)) = ld(mult(op_c,mult(ld(op_c,op_d),op_d)),op_c),
inference(cp,[status(thm)],[eq_241,eq_169]) ).
cnf(eq_249,plain,
ld(mult(op_c,op_d),op_c) = mult(op_d,op_d),
inference(cp,[status(thm)],[eq_246,eq_139]) ).
cnf(eq_250,plain,
mult(mult(op_c,op_d),ld(mult(op_d,op_d),op_d)) = mult(op_d,rd(mult(mult(op_d,mult(op_d,op_c)),op_d),op_d)),
inference(cp,[status(thm)],[eq_246,eq_162]) ).
cnf(eq_251,plain,
mult(mult(op_c,op_d),mult(op_d,op_d)) = op_c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_250,eq_64]),eq_3]),eq_33]) ).
cnf(eq_252,plain,
ld(op_c,mult(mult(op_c,op_d),op_d)) = mult(op_d,op_d),
inference(rw,[status(thm)],[eq_247,eq_0]) ).
cnf(eq_253,plain,
ld(op_c,op_d) = rd(ld(op_c,mult(op_d,op_d)),op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_189,eq_244]),eq_80]),eq_243]) ).
cnf(eq_254,plain,
mult(op_c,mult(op_d,op_d)) = mult(mult(op_c,op_d),op_d),
inference(cp,[status(thm)],[eq_252,eq_0]) ).
cnf(eq_255,plain,
rd(mult(mult(op_c,op_d),mult(op_d,op_d)),op_d) = mult(mult(op_c,op_d),ld(op_c,mult(op_c,op_d))),
inference(cp,[status(thm)],[eq_252,eq_129]) ).
cnf(eq_256,plain,
mult(mult(op_c,op_d),op_d) = mult(op_c,mult(op_d,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_255,eq_251]),eq_244]),eq_1]) ).
cnf(eq_257,negated_conjecture,
mult(mult(op_c,mult(op_d,op_d)),ld(mult(rd(ld(op_c,mult(op_d,op_d)),op_d),op_d),ld(op_c,op_d))) != mult(op_d,op_c),
inference(cp,[status(thm)],[eq_253,eq_229]) ).
cnf(eq_258,negated_conjecture,
mult(mult(op_c,mult(op_d,op_d)),mult(op_d,op_d)) != mult(op_d,op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_257,eq_2]),eq_216]),eq_181]),eq_249]) ).
cnf(eq_259,plain,
mult(mult(op_c,mult(op_d,op_d)),mult(op_d,op_d)) = mult(op_d,op_c),
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_248,eq_241]),eq_50]),eq_245]),eq_225]),eq_241]),eq_64]) ).
cnf(eq_260,negated_conjecture,
mult(mult(mult(op_c,op_d),op_d),mult(op_d,op_d)) != mult(op_d,op_c),
inference(cp,[status(thm)],[eq_254,eq_258]) ).
cnf(eq_261,negated_conjecture,
mult(op_d,op_c) != mult(op_d,op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_260,eq_256]),eq_259]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP688-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n025.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 04:25:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 86.19/86.46 % SZS status Unsatisfiable
% 86.19/86.46 % SZS output start CNFRefutation for /tmp/MaedMax_15434
% See solution above
% 86.19/86.47
%------------------------------------------------------------------------------