TSTP Solution File: GRP707-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP707-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n012.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 07:03:13 EDT 2022
% Result : Unsatisfiable 10.50s 10.76s
% Output : CNFRefutation 10.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 10
% Syntax : Number of clauses : 238 ( 238 unt; 0 nHn; 16 RR)
% Number of literals : 238 ( 237 equ; 15 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; 6 con; 0-2 aty)
% Number of variables : 409 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = mult(B,ld(B,A)),
file('/tmp/MaedMax_29145') ).
cnf(eq_1,axiom,
A = ld(B,mult(B,A)),
file('/tmp/MaedMax_29145') ).
cnf(eq_2,axiom,
A = mult(rd(A,B),B),
file('/tmp/MaedMax_29145') ).
cnf(eq_3,axiom,
A = rd(mult(A,B),B),
file('/tmp/MaedMax_29145') ).
cnf(eq_4,axiom,
A = mult(A,unit),
file('/tmp/MaedMax_29145') ).
cnf(eq_5,axiom,
A = mult(unit,A),
file('/tmp/MaedMax_29145') ).
cnf(eq_6,axiom,
mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
file('/tmp/MaedMax_29145') ).
cnf(eq_7,axiom,
mult(A,mult(A,mult(A,A))) = unit,
file('/tmp/MaedMax_29145') ).
cnf(eq_8,axiom,
mult(A,mult(B,B)) = mult(mult(B,B),A),
file('/tmp/MaedMax_29145') ).
cnf(eq_9,negated_conjecture,
mult(mult(a,b),a) != mult(a,mult(b,a)),
file('/tmp/MaedMax_29145') ).
cnf(eq_10,plain,
ld(unit,A) = A,
inference(cp,[status(thm)],[eq_5,eq_1]) ).
cnf(eq_11,plain,
ld(A,unit) = mult(A,mult(A,A)),
inference(cp,[status(thm)],[eq_7,eq_1]) ).
cnf(eq_12,plain,
ld(rd(A,B),A) = B,
inference(cp,[status(thm)],[eq_2,eq_1]) ).
cnf(eq_13,plain,
mult(A,mult(B,mult(B,unit))) = mult(mult(A,B),B),
inference(cp,[status(thm)],[eq_6,eq_4]) ).
cnf(eq_14,plain,
A = rd(A,unit),
inference(cp,[status(thm)],[eq_2,eq_4]) ).
cnf(eq_15,plain,
mult(ld(mult(B,B),x101),mult(B,B)) = x101,
inference(cp,[status(thm)],[eq_8,eq_0]) ).
cnf(eq_16,plain,
A = mult(x100,mult(x101,mult(x101,ld(mult(mult(x100,x101),x101),A)))),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_17,plain,
mult(mult(A,A),x102) = mult(unit,mult(A,mult(A,x102))),
inference(cp,[status(thm)],[eq_5,eq_6]) ).
cnf(eq_18,plain,
mult(mult(A,B),x102) = mult(rd(A,B),mult(B,mult(B,x102))),
inference(cp,[status(thm)],[eq_2,eq_6]) ).
cnf(eq_19,plain,
rd(A,A) = unit,
inference(cp,[status(thm)],[eq_5,eq_3]) ).
cnf(eq_20,plain,
rd(mult(A,mult(B,B)),A) = mult(B,B),
inference(cp,[status(thm)],[eq_8,eq_3]) ).
cnf(eq_21,plain,
rd(A,ld(B,A)) = B,
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_22,plain,
A = mult(B,mult(C,mult(C,ld(mult(mult(B,C),C),A)))),
eq_16 ).
cnf(eq_23,plain,
A = ld(rd(B,A),B),
eq_12 ).
cnf(eq_24,plain,
mult(mult(A,B),C) = mult(rd(A,B),mult(B,mult(B,C))),
eq_18 ).
cnf(eq_25,plain,
mult(A,mult(B,B)) = mult(mult(A,B),B),
inference(rw,[status(thm)],[eq_13,eq_4]) ).
cnf(eq_26,plain,
A = rd(B,ld(A,B)),
eq_21 ).
cnf(eq_27,plain,
mult(A,mult(A,B)) = mult(mult(A,A),B),
inference(rw,[status(thm)],[eq_17,eq_5]) ).
cnf(eq_28,plain,
A = mult(ld(mult(B,B),A),mult(B,B)),
eq_15 ).
cnf(eq_29,plain,
mult(A,A) = rd(mult(B,mult(A,A)),B),
eq_20 ).
cnf(eq_30,plain,
ld(A,ld(A,unit)) = mult(A,A),
inference(cp,[status(thm)],[eq_11,eq_1]) ).
cnf(eq_31,plain,
mult(mult(mult(C,C),C),C) = unit,
inference(cp,[status(thm)],[eq_6,eq_7]) ).
cnf(eq_32,plain,
rd(mult(A,mult(B,B)),B) = mult(A,B),
inference(cp,[status(thm)],[eq_25,eq_3]) ).
cnf(eq_33,plain,
mult(A,mult(C,mult(C,C))) = mult(mult(A,C),mult(C,C)),
inference(cp,[status(thm)],[eq_6,eq_25]) ).
cnf(eq_34,plain,
mult(A,B) = mult(rd(A,B),mult(B,B)),
inference(cp,[status(thm)],[eq_2,eq_25]) ).
cnf(eq_35,plain,
mult(mult(A,mult(B,B)),x102) = mult(A,mult(B,mult(B,x102))),
inference(cp,[status(thm)],[eq_25,eq_6]) ).
cnf(eq_36,plain,
mult(A,mult(B,mult(B,B))) = mult(mult(A,B),mult(B,B)),
eq_33 ).
cnf(eq_37,plain,
mult(mult(mult(A,A),A),A) = unit,
eq_31 ).
cnf(eq_38,plain,
mult(A,B) = rd(mult(A,mult(B,B)),B),
eq_32 ).
cnf(eq_39,plain,
mult(A,mult(B,mult(B,C))) = mult(mult(A,mult(B,B)),C),
eq_35 ).
cnf(eq_40,plain,
mult(mult(A,B),mult(B,B)) = mult(rd(A,B),mult(mult(B,B),mult(B,B))),
inference(cp,[status(thm)],[eq_34,eq_25]) ).
cnf(eq_41,plain,
rd(A,mult(B,B)) = ld(mult(B,B),A),
inference(cp,[status(thm)],[eq_28,eq_3]) ).
cnf(eq_42,plain,
rd(mult(A,B),mult(B,B)) = rd(A,B),
inference(cp,[status(thm)],[eq_34,eq_3]) ).
cnf(eq_43,plain,
ld(rd(unit,A),A) = mult(rd(unit,A),rd(unit,A)),
inference(cp,[status(thm)],[eq_23,eq_30]) ).
cnf(eq_44,plain,
A = mult(rd(unit,A),mult(A,A)),
inference(cp,[status(thm)],[eq_5,eq_34]) ).
cnf(eq_45,plain,
mult(rd(x100,B),rd(mult(B,mult(B,B)),B)) = mult(x100,B),
inference(cp,[status(thm)],[eq_38,eq_34]) ).
cnf(eq_46,plain,
mult(rd(x100,A),ld(A,ld(A,unit))) = mult(x100,A),
inference(cp,[status(thm)],[eq_30,eq_34]) ).
cnf(eq_47,plain,
rd(mult(mult(B,B),A),B) = mult(A,B),
inference(cp,[status(thm)],[eq_8,eq_32]) ).
cnf(eq_48,plain,
rd(ld(A,unit),A) = mult(A,A),
inference(cp,[status(thm)],[eq_11,eq_32]) ).
cnf(eq_49,plain,
rd(A,x101) = mult(rd(A,mult(x101,x101)),x101),
inference(cp,[status(thm)],[eq_2,eq_32]) ).
cnf(eq_50,plain,
rd(mult(A,B),rd(A,B)) = mult(B,B),
inference(cp,[status(thm)],[eq_34,eq_29]) ).
cnf(eq_51,plain,
mult(A,A) = rd(ld(A,unit),A),
eq_48 ).
cnf(eq_52,plain,
ld(mult(A,A),B) = rd(B,mult(A,A)),
eq_41 ).
cnf(eq_53,plain,
mult(A,B) = mult(rd(A,B),ld(B,ld(B,unit))),
eq_46 ).
cnf(eq_54,plain,
mult(rd(A,mult(B,B)),B) = rd(A,B),
eq_49 ).
cnf(eq_55,plain,
mult(A,A) = rd(mult(B,A),rd(B,A)),
eq_50 ).
cnf(eq_56,plain,
mult(A,B) = mult(rd(A,B),rd(ld(B,unit),B)),
inference(rw,[status(thm)],[eq_45,eq_11]) ).
cnf(eq_57,plain,
mult(A,B) = rd(mult(mult(B,B),A),B),
eq_47 ).
cnf(eq_58,plain,
A = mult(rd(unit,A),rd(ld(A,unit),A)),
inference(rw,[status(thm)],[eq_44,eq_51]) ).
cnf(eq_59,plain,
mult(rd(A,rd(ld(B,unit),B)),B) = rd(A,B),
inference(rw,[status(thm)],[eq_54,eq_51]) ).
cnf(eq_60,plain,
ld(rd(unit,A),A) = rd(A,rd(unit,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_43,eq_51]),eq_23]) ).
cnf(eq_61,plain,
mult(A,mult(A,B)) = mult(rd(ld(A,unit),A),B),
inference(rw,[status(thm)],[eq_27,eq_51]) ).
cnf(eq_62,plain,
mult(ld(A,unit),A) = unit,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_37,eq_51]),eq_2]) ).
cnf(eq_63,plain,
ld(A,mult(rd(A,B),rd(ld(B,unit),B))) = B,
inference(cp,[status(thm)],[eq_56,eq_1]) ).
cnf(eq_64,plain,
ld(rd(unit,A),A) = rd(ld(A,unit),A),
inference(cp,[status(thm)],[eq_58,eq_1]) ).
cnf(eq_65,plain,
A = mult(rd(rd(A,B),B),rd(ld(B,unit),B)),
inference(cp,[status(thm)],[eq_2,eq_56]) ).
cnf(eq_66,plain,
A = ld(B,mult(rd(B,A),rd(ld(A,unit),A))),
eq_63 ).
cnf(eq_67,plain,
mult(A,A) = rd(A,rd(unit,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_64]),eq_60]) ).
cnf(eq_68,plain,
rd(ld(A,unit),A) = rd(A,rd(unit,A)),
inference(rw,[status(thm)],[eq_64,eq_60]) ).
cnf(eq_69,plain,
mult(rd(A,rd(B,rd(unit,B))),B) = rd(A,B),
inference(rw,[status(thm)],[eq_59,eq_68]) ).
cnf(eq_70,plain,
ld(A,unit) = mult(A,rd(A,rd(unit,A))),
inference(rw,[status(thm)],[eq_11,eq_67]) ).
cnf(eq_71,plain,
mult(A,rd(unit,A)) = unit,
inference(cp,[status(thm)],[eq_23,eq_62]) ).
cnf(eq_72,plain,
rd(unit,A) = ld(A,unit),
inference(cp,[status(thm)],[eq_62,eq_3]) ).
cnf(eq_73,plain,
ld(A,unit) = rd(unit,A),
eq_72 ).
cnf(eq_74,plain,
rd(unit,rd(unit,A)) = A,
inference(cp,[status(thm)],[eq_73,eq_26]) ).
cnf(eq_75,plain,
rd(rd(unit,A),A) = ld(rd(unit,A),A),
inference(cp,[status(thm)],[eq_73,eq_64]) ).
cnf(eq_76,plain,
mult(A,rd(A,rd(unit,A))) = rd(unit,A),
inference(cp,[status(thm)],[eq_70,eq_73]) ).
cnf(eq_77,plain,
rd(A,rd(unit,A)) = rd(rd(unit,A),A),
inference(rw,[status(thm)],[eq_75,eq_60]) ).
cnf(eq_78,plain,
mult(A,B) = rd(mult(B,mult(B,A)),B),
inference(rw,[status(thm)],[eq_57,eq_27]) ).
cnf(eq_79,plain,
mult(A,mult(A,A)) = rd(unit,A),
inference(rw,[status(thm)],[eq_11,eq_73]) ).
cnf(eq_80,plain,
mult(A,mult(A,B)) = mult(B,mult(A,A)),
inference(rw,[status(thm)],[eq_8,eq_27]) ).
cnf(eq_81,plain,
ld(A,rd(unit,A)) = rd(rd(unit,A),rd(unit,rd(unit,A))),
inference(cp,[status(thm)],[eq_74,eq_60]) ).
cnf(eq_82,plain,
mult(A,A) = rd(mult(mult(A,A),mult(A,A)),mult(A,A)),
inference(cp,[status(thm)],[eq_29,eq_42]) ).
cnf(eq_83,plain,
rd(A,mult(B,B)) = rd(rd(A,B),B),
inference(cp,[status(thm)],[eq_2,eq_42]) ).
cnf(eq_84,plain,
mult(mult(A,B),mult(B,B)) = rd(A,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_40,eq_27]),eq_7]),eq_4]) ).
cnf(eq_85,plain,
mult(A,A) = rd(unit,mult(A,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_82,eq_27]),eq_7]) ).
cnf(eq_86,plain,
ld(A,rd(unit,A)) = rd(A,rd(unit,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_81,eq_74]),eq_77]) ).
cnf(eq_87,plain,
rd(mult(B,A),rd(B,A)) = rd(A,rd(unit,A)),
inference(cp,[status(thm)],[eq_55,eq_67]) ).
cnf(eq_88,plain,
mult(mult(A,mult(A,B)),mult(A,A)) = mult(B,mult(mult(A,A),mult(A,A))),
inference(cp,[status(thm)],[eq_80,eq_25]) ).
cnf(eq_89,plain,
rd(mult(B,A),B) = mult(ld(B,A),B),
inference(cp,[status(thm)],[eq_0,eq_78]) ).
cnf(eq_90,plain,
A = mult(mult(B,mult(B,A)),mult(B,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_88,eq_27]),eq_11]),eq_0]),eq_4]) ).
cnf(eq_91,plain,
mult(ld(A,B),A) = rd(mult(A,B),A),
eq_89 ).
cnf(eq_92,plain,
mult(mult(A,B),rd(B,rd(unit,B))) = rd(A,B),
inference(rw,[status(thm)],[eq_84,eq_67]) ).
cnf(eq_93,plain,
ld(rd(A,rd(unit,A)),B) = rd(B,rd(A,rd(unit,A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_67]),eq_67]) ).
cnf(eq_94,plain,
rd(A,rd(B,rd(unit,B))) = rd(rd(A,B),B),
inference(rw,[status(thm)],[eq_83,eq_67]) ).
cnf(eq_95,plain,
rd(A,rd(unit,A)) = rd(unit,rd(A,rd(unit,A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_85,eq_67]),eq_67]) ).
cnf(eq_96,plain,
rd(rd(mult(A,B),A),A) = ld(A,B),
inference(cp,[status(thm)],[eq_91,eq_3]) ).
cnf(eq_97,plain,
mult(A,mult(rd(unit,A),mult(rd(unit,A),ld(mult(unit,rd(unit,A)),x102)))) = x102,
inference(cp,[status(thm)],[eq_71,eq_22]) ).
cnf(eq_98,plain,
A = mult(B,mult(rd(unit,B),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_97,eq_5]),eq_0]) ).
cnf(eq_99,plain,
ld(B,A) = mult(rd(unit,B),A),
inference(cp,[status(thm)],[eq_98,eq_1]) ).
cnf(eq_100,plain,
mult(x100,A) = ld(rd(unit,x100),A),
inference(cp,[status(thm)],[eq_0,eq_98]) ).
cnf(eq_101,plain,
mult(ld(A,unit),mult(A,x101)) = x101,
inference(cp,[status(thm)],[eq_26,eq_98]) ).
cnf(eq_102,plain,
rd(rd(A,B),B) = ld(B,ld(B,A)),
inference(cp,[status(thm)],[eq_0,eq_96]) ).
cnf(eq_103,plain,
A = mult(rd(unit,B),mult(B,A)),
inference(rw,[status(thm)],[eq_101,eq_73]) ).
cnf(eq_104,plain,
ld(rd(unit,A),B) = mult(A,B),
eq_100 ).
cnf(eq_105,plain,
ld(A,ld(A,B)) = rd(rd(B,A),A),
eq_102 ).
cnf(eq_106,plain,
ld(A,B) = mult(rd(unit,A),B),
eq_99 ).
cnf(eq_107,plain,
ld(A,ld(rd(unit,A),x101)) = x101,
inference(cp,[status(thm)],[eq_106,eq_0]) ).
cnf(eq_108,plain,
rd(ld(A,B),rd(rd(B,A),A)) = A,
inference(cp,[status(thm)],[eq_105,eq_26]) ).
cnf(eq_109,plain,
rd(A,mult(B,A)) = rd(unit,B),
inference(cp,[status(thm)],[eq_103,eq_3]) ).
cnf(eq_110,plain,
rd(ld(A,B),B) = rd(unit,A),
inference(cp,[status(thm)],[eq_106,eq_3]) ).
cnf(eq_111,plain,
A = mult(rd(unit,rd(B,A)),B),
inference(cp,[status(thm)],[eq_23,eq_106]) ).
cnf(eq_112,plain,
A = ld(rd(unit,B),ld(B,A)),
inference(cp,[status(thm)],[eq_0,eq_104]) ).
cnf(eq_113,plain,
A = ld(rd(unit,rd(A,B)),B),
inference(cp,[status(thm)],[eq_2,eq_104]) ).
cnf(eq_114,plain,
A = ld(B,ld(rd(unit,B),A)),
eq_107 ).
cnf(eq_115,plain,
rd(A,B) = rd(unit,rd(B,A)),
inference(cp,[status(thm)],[eq_111,eq_3]) ).
cnf(eq_116,plain,
rd(B,rd(A,B)) = rd(unit,rd(A,rd(B,rd(unit,B)))),
inference(cp,[status(thm)],[eq_69,eq_109]) ).
cnf(eq_117,plain,
rd(A,rd(rd(A,B),B)) = rd(B,rd(unit,B)),
inference(cp,[status(thm)],[eq_2,eq_87]) ).
cnf(eq_118,plain,
mult(rd(x100,ld(A,unit)),mult(ld(A,unit),unit)) = mult(mult(x100,ld(A,unit)),A),
inference(cp,[status(thm)],[eq_62,eq_24]) ).
cnf(eq_119,plain,
A = mult(mult(A,ld(B,unit)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_118,eq_4]),eq_2]) ).
cnf(eq_120,negated_conjecture,
mult(rd(mult(a,b),a),ld(a,ld(a,unit))) != mult(a,mult(b,a)),
inference(cp,[status(thm)],[eq_53,eq_9]) ).
cnf(eq_121,plain,
mult(A,x101) = rd(A,ld(x101,unit)),
inference(cp,[status(thm)],[eq_2,eq_119]) ).
cnf(eq_122,plain,
rd(A,B) = mult(A,ld(B,unit)),
inference(cp,[status(thm)],[eq_119,eq_3]) ).
cnf(eq_123,plain,
mult(A,B) = rd(A,ld(B,unit)),
eq_121 ).
cnf(eq_124,plain,
mult(A,ld(B,unit)) = rd(A,B),
eq_122 ).
cnf(eq_125,plain,
ld(A,rd(A,B)) = ld(B,unit),
inference(cp,[status(thm)],[eq_124,eq_1]) ).
cnf(eq_126,plain,
rd(rd(A,B),ld(B,unit)) = A,
inference(cp,[status(thm)],[eq_124,eq_3]) ).
cnf(eq_127,plain,
A = rd(B,ld(ld(B,A),unit)),
inference(cp,[status(thm)],[eq_0,eq_123]) ).
cnf(eq_128,plain,
A = rd(rd(A,B),ld(B,unit)),
inference(cp,[status(thm)],[eq_2,eq_123]) ).
cnf(eq_129,plain,
mult(A,B) = rd(A,rd(unit,B)),
inference(rw,[status(thm)],[eq_123,eq_73]) ).
cnf(eq_130,plain,
A = rd(rd(A,B),rd(unit,B)),
inference(rw,[status(thm)],[eq_128,eq_73]) ).
cnf(eq_131,plain,
A = rd(B,rd(unit,ld(B,A))),
inference(rw,[status(thm)],[eq_127,eq_73]) ).
cnf(eq_132,plain,
ld(A,rd(A,B)) = rd(unit,B),
inference(rw,[status(thm)],[eq_125,eq_73]) ).
cnf(eq_133,plain,
ld(A,B) = rd(unit,ld(B,A)),
inference(cp,[status(thm)],[eq_131,eq_23]) ).
cnf(eq_134,plain,
ld(A,B) = ld(ld(B,A),unit),
inference(rw,[status(thm)],[eq_133,eq_72]) ).
cnf(eq_135,plain,
rd(rd(x100,ld(B,A)),ld(A,B)) = x100,
inference(cp,[status(thm)],[eq_134,eq_126]) ).
cnf(eq_136,plain,
A = rd(rd(A,ld(B,C)),ld(C,B)),
eq_135 ).
cnf(eq_137,plain,
ld(A,rd(unit,B)) = rd(rd(rd(A,B),A),A),
inference(cp,[status(thm)],[eq_132,eq_105]) ).
cnf(eq_138,plain,
ld(A,rd(rd(A,B),B)) = rd(unit,rd(B,rd(unit,B))),
inference(cp,[status(thm)],[eq_94,eq_132]) ).
cnf(eq_139,plain,
ld(rd(rd(A,B),B),A) = rd(B,rd(unit,B)),
inference(cp,[status(thm)],[eq_94,eq_23]) ).
cnf(eq_140,plain,
rd(rd(rd(rd(A,B),B),A),A) = ld(A,rd(unit,rd(B,rd(unit,B)))),
inference(cp,[status(thm)],[eq_94,eq_137]) ).
cnf(eq_141,plain,
ld(A,rd(rd(A,B),B)) = rd(B,rd(unit,B)),
inference(rw,[status(thm)],[eq_138,eq_95]) ).
cnf(eq_142,plain,
ld(A,rd(B,rd(unit,B))) = rd(rd(rd(rd(A,B),B),A),A),
inference(rw,[status(thm)],[eq_140,eq_95]) ).
cnf(eq_143,plain,
mult(B,A) = mult(rd(ld(B,unit),B),ld(B,A)),
inference(cp,[status(thm)],[eq_0,eq_61]) ).
cnf(eq_144,plain,
mult(A,B) = mult(rd(ld(A,unit),A),ld(A,B)),
eq_143 ).
cnf(eq_145,negated_conjecture,
ld(rd(unit,rd(ld(rd(unit,a),b),a)),rd(a,rd(unit,a))) != ld(rd(unit,a),ld(rd(unit,b),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_120,eq_104]),eq_73]),eq_86]),eq_104]),eq_104]),eq_104]) ).
cnf(eq_146,plain,
A = ld(B,ld(rd(A,B),rd(A,rd(unit,A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_66,eq_73]),eq_77]),eq_104]),eq_115]) ).
cnf(eq_147,plain,
A = ld(rd(B,rd(A,B)),rd(B,rd(unit,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_65,eq_73]),eq_77]),eq_104]),eq_115]) ).
cnf(eq_148,plain,
ld(rd(B,A),ld(rd(A,B),x101)) = x101,
inference(cp,[status(thm)],[eq_115,eq_114]) ).
cnf(eq_149,plain,
A = ld(rd(B,C),ld(rd(C,B),A)),
eq_148 ).
cnf(eq_150,plain,
rd(A,rd(B,A)) = rd(rd(A,rd(unit,A)),B),
inference(rw,[status(thm)],[eq_116,eq_115]) ).
cnf(eq_151,plain,
ld(rd(A,rd(unit,A)),B) = rd(rd(B,A),A),
inference(rw,[status(thm)],[eq_93,eq_94]) ).
cnf(eq_152,plain,
ld(rd(unit,A),B) = rd(rd(ld(A,B),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)],[eq_144,eq_104]),eq_73]),eq_77]),eq_104]),eq_115]),eq_77]),eq_151]) ).
cnf(eq_153,plain,
ld(ld(A,B),ld(A,rd(B,rd(unit,B)))) = B,
inference(cp,[status(thm)],[eq_26,eq_146]) ).
cnf(eq_154,plain,
rd(rd(B,rd(A,rd(unit,A))),B) = rd(unit,rd(A,rd(unit,A))),
inference(cp,[status(thm)],[eq_93,eq_110]) ).
cnf(eq_155,plain,
rd(rd(rd(B,rd(unit,B)),rd(rd(unit,B),B)),x101) = rd(rd(B,rd(unit,B)),rd(x101,rd(B,rd(unit,B)))),
inference(cp,[status(thm)],[eq_94,eq_150]) ).
cnf(eq_156,plain,
A = ld(ld(B,A),ld(B,rd(A,rd(unit,A)))),
eq_153 ).
cnf(eq_157,plain,
rd(A,rd(unit,A)) = rd(rd(rd(B,A),A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_154,eq_94]),eq_115]),eq_77]) ).
cnf(eq_158,plain,
rd(A,rd(rd(rd(B,A),A),A)) = rd(unit,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)],[inference(rw,[status(thm)],[eq_155,eq_77]),eq_150]),eq_150]),eq_19]),eq_14]),eq_19]),eq_94]),eq_150]) ).
cnf(eq_159,plain,
ld(rd(unit,B),A) = rd(rd(rd(B,A),A),A),
inference(cp,[status(thm)],[eq_158,eq_23]) ).
cnf(eq_160,plain,
ld(rd(unit,A),B) = rd(rd(rd(A,B),B),B),
eq_159 ).
cnf(eq_161,negated_conjecture,
ld(rd(unit,rd(rd(rd(ld(a,b),a),a),a)),rd(a,rd(unit,a))) != ld(rd(unit,a),ld(rd(unit,b),a)),
inference(cp,[status(thm)],[eq_152,eq_145]) ).
cnf(eq_162,negated_conjecture,
ld(rd(unit,a),ld(rd(unit,b),a)) != rd(ld(a,b),a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_161,eq_115]),eq_147]) ).
cnf(eq_163,plain,
rd(unit,ld(rd(unit,A),B)) = rd(B,rd(rd(A,B),B)),
inference(cp,[status(thm)],[eq_160,eq_115]) ).
cnf(eq_164,plain,
rd(rd(B,rd(unit,B)),rd(rd(rd(rd(A,B),B),A),A)) = A,
inference(cp,[status(thm)],[eq_141,eq_108]) ).
cnf(eq_165,plain,
rd(ld(B,rd(A,B)),ld(rd(unit,A),B)) = B,
inference(cp,[status(thm)],[eq_160,eq_108]) ).
cnf(eq_166,plain,
rd(ld(rd(rd(A,B),B),A),rd(rd(B,rd(unit,B)),rd(rd(A,B),B))) = rd(rd(A,B),B),
inference(cp,[status(thm)],[eq_117,eq_108]) ).
cnf(eq_167,plain,
rd(A,rd(rd(unit,B),A)) = rd(rd(B,A),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_166,eq_139]),eq_150]),eq_160]),eq_26]),eq_150]) ).
cnf(eq_168,plain,
A = rd(ld(A,rd(B,A)),ld(rd(unit,B),A)),
eq_165 ).
cnf(eq_169,plain,
A = rd(B,rd(rd(B,rd(A,B)),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_164,eq_157]),eq_150]),eq_150]) ).
cnf(eq_170,plain,
ld(A,rd(B,rd(unit,B))) = rd(B,rd(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_142,eq_157]),eq_150]) ).
cnf(eq_171,plain,
ld(x100,rd(B,rd(rd(B,x100),B))) = B,
inference(cp,[status(thm)],[eq_170,eq_146]) ).
cnf(eq_172,plain,
ld(ld(A,B),rd(B,rd(A,B))) = B,
inference(cp,[status(thm)],[eq_170,eq_156]) ).
cnf(eq_173,plain,
rd(ld(x100,rd(rd(rd(unit,rd(A,unit)),unit),x100)),ld(A,x100)) = x100,
inference(cp,[status(thm)],[eq_169,eq_168]) ).
cnf(eq_174,plain,
ld(rd(unit,A),B) = rd(B,rd(rd(unit,rd(A,B)),B)),
inference(cp,[status(thm)],[eq_160,eq_167]) ).
cnf(eq_175,plain,
A = rd(ld(A,rd(rd(unit,B),A)),ld(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_173,eq_14]),eq_14]) ).
cnf(eq_176,plain,
A = ld(ld(B,A),rd(A,rd(B,A))),
eq_172 ).
cnf(eq_177,plain,
A = ld(B,rd(A,rd(rd(A,B),A))),
eq_171 ).
cnf(eq_178,plain,
ld(rd(unit,A),B) = rd(B,rd(rd(B,A),B)),
inference(rw,[status(thm)],[eq_174,eq_115]) ).
cnf(eq_179,plain,
ld(rd(unit,A),rd(unit,B)) = rd(A,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)],[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_36,eq_104]),eq_60]),eq_104]),eq_170]),eq_77]),eq_94]),eq_19]),eq_104]),eq_104]),eq_104]),eq_60]),eq_104]),eq_170]),eq_167]),eq_110]),eq_115]),eq_14]) ).
cnf(eq_180,plain,
ld(ld(ld(A,B),B),rd(B,rd(unit,A))) = B,
inference(cp,[status(thm)],[eq_110,eq_176]) ).
cnf(eq_181,plain,
ld(ld(rd(unit,A),B),B) = rd(rd(B,A),B),
inference(cp,[status(thm)],[eq_178,eq_23]) ).
cnf(eq_182,plain,
rd(B,rd(A,B)) = ld(rd(unit,ld(A,B)),B),
inference(cp,[status(thm)],[eq_26,eq_178]) ).
cnf(eq_183,plain,
A = ld(ld(ld(B,A),A),rd(A,rd(unit,B))),
eq_180 ).
cnf(eq_184,plain,
rd(rd(unit,B),rd(A,B)) = rd(unit,A),
inference(cp,[status(thm)],[eq_179,eq_26]) ).
cnf(eq_185,plain,
ld(rd(A,B),rd(unit,x101)) = rd(rd(B,A),x101),
inference(cp,[status(thm)],[eq_115,eq_179]) ).
cnf(eq_186,plain,
ld(rd(unit,x100),A) = rd(x100,ld(A,unit)),
inference(cp,[status(thm)],[eq_26,eq_179]) ).
cnf(eq_187,plain,
rd(rd(unit,A),rd(B,A)) = rd(unit,B),
eq_184 ).
cnf(eq_188,plain,
ld(rd(A,B),rd(unit,C)) = rd(rd(B,A),C),
eq_185 ).
cnf(eq_189,plain,
ld(rd(unit,A),B) = rd(A,rd(unit,B)),
inference(rw,[status(thm)],[eq_186,eq_73]) ).
cnf(eq_190,plain,
ld(A,B) = rd(rd(unit,A),rd(unit,B)),
inference(rw,[status(thm)],[eq_106,eq_129]) ).
cnf(eq_191,plain,
rd(rd(x100,rd(B,A)),rd(A,B)) = x100,
inference(cp,[status(thm)],[eq_115,eq_130]) ).
cnf(eq_192,plain,
rd(A,rd(rd(B,A),A)) = rd(rd(unit,A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_163,eq_189]),eq_115]) ).
cnf(eq_193,plain,
A = rd(rd(A,rd(B,C)),rd(C,B)),
eq_191 ).
cnf(eq_194,plain,
ld(ld(ld(ld(B,A),B),B),A) = B,
inference(cp,[status(thm)],[eq_131,eq_183]) ).
cnf(eq_195,plain,
ld(ld(A,B),ld(rd(ld(B,A),unit),x102)) = x102,
inference(cp,[status(thm)],[eq_133,eq_149]) ).
cnf(eq_196,plain,
A = ld(ld(ld(ld(A,B),A),A),B),
eq_194 ).
cnf(eq_197,plain,
A = ld(ld(B,C),ld(ld(C,B),A)),
inference(rw,[status(thm)],[eq_195,eq_14]) ).
cnf(eq_198,plain,
rd(B,rd(A,B)) = ld(ld(ld(A,B),unit),B),
inference(rw,[status(thm)],[eq_182,eq_72]) ).
cnf(eq_199,plain,
ld(ld(ld(A,unit),B),B) = rd(rd(B,A),B),
inference(rw,[status(thm)],[eq_181,eq_72]) ).
cnf(eq_200,plain,
ld(ld(A,unit),ld(B,unit)) = rd(A,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_179,eq_72]),eq_72]) ).
cnf(eq_201,plain,
A = ld(B,ld(ld(B,unit),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_177,eq_198]),eq_23]) ).
cnf(eq_202,plain,
A = ld(ld(B,unit),ld(B,A)),
inference(rw,[status(thm)],[eq_112,eq_72]) ).
cnf(eq_203,plain,
A = ld(ld(rd(A,B),unit),B),
inference(rw,[status(thm)],[eq_113,eq_72]) ).
cnf(eq_204,plain,
ld(ld(A,unit),ld(C,B)) = rd(A,ld(B,C)),
inference(cp,[status(thm)],[eq_136,eq_203]) ).
cnf(eq_205,plain,
ld(ld(A,unit),ld(B,C)) = rd(A,ld(C,B)),
eq_204 ).
cnf(eq_206,plain,
ld(rd(A,B),ld(C,unit)) = rd(rd(B,A),C),
inference(rw,[status(thm)],[eq_188,eq_72]) ).
cnf(eq_207,plain,
A = ld(ld(ld(B,ld(A,unit)),A),ld(A,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_175,eq_200]),eq_10]),eq_10]),eq_200]),eq_134]),eq_10]),eq_200]),eq_134]),eq_134]) ).
cnf(eq_208,negated_conjecture,
ld(ld(a,unit),ld(ld(b,unit),a)) != ld(ld(b,a),ld(a,unit)),
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_162,eq_200]),eq_200]),eq_10]),eq_10]),eq_10]),eq_10]),eq_200]),eq_134]) ).
cnf(eq_209,plain,
ld(ld(ld(ld(ld(A,B),A),A),unit),A) = B,
inference(cp,[status(thm)],[eq_196,eq_202]) ).
cnf(eq_210,plain,
A = ld(ld(B,ld(ld(B,A),B)),B),
inference(rw,[status(thm)],[eq_209,eq_134]) ).
cnf(eq_211,plain,
ld(ld(B,ld(A,B)),B) = ld(ld(B,unit),A),
inference(cp,[status(thm)],[eq_201,eq_210]) ).
cnf(eq_212,plain,
ld(ld(A,ld(B,A)),A) = ld(ld(A,unit),B),
eq_211 ).
cnf(eq_213,plain,
ld(ld(A,ld(B,ld(A,unit))),A) = ld(A,B),
inference(cp,[status(thm)],[eq_207,eq_197]) ).
cnf(eq_214,negated_conjecture,
ld(ld(a,ld(ld(ld(b,unit),a),a)),a) != ld(ld(b,a),ld(a,unit)),
inference(cp,[status(thm)],[eq_212,eq_208]) ).
cnf(eq_215,plain,
mult(A,rd(unit,B)) = rd(A,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_67]),eq_76]),eq_67]),eq_92]) ).
cnf(eq_216,plain,
mult(rd(unit,B),rd(B,A)) = rd(unit,A),
inference(cp,[status(thm)],[eq_187,eq_2]) ).
cnf(eq_217,plain,
mult(A,rd(C,B)) = rd(A,rd(B,C)),
inference(cp,[status(thm)],[eq_193,eq_2]) ).
cnf(eq_218,plain,
rd(rd(B,rd(unit,B)),rd(A,B)) = rd(unit,mult(A,B)),
inference(cp,[status(thm)],[eq_92,eq_109]) ).
cnf(eq_219,plain,
mult(rd(unit,A),rd(A,B)) = rd(unit,B),
eq_216 ).
cnf(eq_220,plain,
rd(rd(unit,A),B) = rd(unit,mult(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_218,eq_150]),eq_192]) ).
cnf(eq_221,plain,
mult(A,rd(B,C)) = rd(A,rd(C,B)),
eq_217 ).
cnf(eq_222,plain,
ld(ld(B,rd(A,B)),B) = ld(B,ld(A,unit)),
inference(cp,[status(thm)],[eq_200,eq_213]) ).
cnf(eq_223,plain,
ld(A,ld(B,unit)) = ld(ld(A,rd(B,A)),A),
eq_222 ).
cnf(eq_224,negated_conjecture,
ld(ld(a,rd(rd(a,b),a)),a) != ld(ld(b,a),ld(a,unit)),
inference(cp,[status(thm)],[eq_199,eq_214]) ).
cnf(eq_225,negated_conjecture,
ld(ld(ld(b,a),rd(a,ld(b,a))),ld(b,a)) != ld(ld(a,rd(rd(a,b),a)),a),
inference(cp,[status(thm)],[eq_223,eq_224]) ).
cnf(eq_226,negated_conjecture,
ld(ld(ld(b,a),b),ld(b,a)) != ld(a,rd(b,a)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_225,eq_205]),eq_202]),eq_206]),eq_213]) ).
cnf(eq_227,plain,
mult(mult(rd(unit,A),rd(unit,B)),mult(rd(unit,A),rd(unit,A))) = rd(A,B),
inference(cp,[status(thm)],[eq_219,eq_90]) ).
cnf(eq_228,plain,
mult(rd(x100,A),mult(B,mult(A,A))) = mult(mult(x100,A),B),
inference(cp,[status(thm)],[eq_80,eq_24]) ).
cnf(eq_229,plain,
mult(rd(unit,mult(A,B)),mult(B,B)) = rd(B,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_227,eq_215]),eq_215]),eq_220]),eq_220]),eq_85]) ).
cnf(eq_230,plain,
mult(mult(A,B),C) = mult(rd(A,B),mult(C,mult(B,B))),
eq_228 ).
cnf(eq_231,plain,
ld(A,B) = rd(unit,mult(rd(unit,B),A)),
inference(rw,[status(thm)],[eq_190,eq_220]) ).
cnf(eq_232,negated_conjecture,
rd(unit,mult(mult(rd(unit,a),b),mult(rd(unit,a),mult(b,b)))) != rd(unit,mult(rd(a,b),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_226,eq_231]),eq_231]),eq_231]),eq_215]),eq_220]),eq_25]),eq_221]),eq_14]),eq_5]),eq_231]),eq_221]),eq_14]),eq_5]),eq_231]),eq_221]),eq_5]) ).
cnf(eq_233,negated_conjecture,
rd(unit,mult(rd(rd(unit,a),b),mult(mult(rd(unit,a),mult(b,b)),mult(b,b)))) != rd(unit,mult(rd(a,b),a)),
inference(cp,[status(thm)],[eq_230,eq_232]) ).
cnf(eq_234,negated_conjecture,
mult(a,mult(b,a)) != rd(unit,mult(rd(a,b),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)],[eq_233,eq_220]),eq_39]),eq_79]),eq_215]),eq_19]),eq_4]),eq_215]),eq_220]),eq_221]),eq_14]),eq_5]) ).
cnf(eq_235,negated_conjecture,
rd(unit,mult(mult(rd(unit,mult(b,a)),mult(a,a)),a)) != mult(a,mult(b,a)),
inference(cp,[status(thm)],[eq_229,eq_234]) ).
cnf(eq_236,negated_conjecture,
mult(a,mult(b,a)) != mult(a,mult(b,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)],[eq_235,eq_39]),eq_79]),eq_215]),eq_220]),eq_221]),eq_14]),eq_5]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP707-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 04:20:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 10.50/10.76 % SZS status Unsatisfiable
% 10.50/10.76 % SZS output start CNFRefutation for /tmp/MaedMax_29145
% See solution above
% 10.50/10.77
%------------------------------------------------------------------------------