TSTP Solution File: GRP686-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP686-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n011.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 17.89s 18.11s
% Output : CNFRefutation 17.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 8
% Syntax : Number of clauses : 170 ( 170 unt; 0 nHn; 16 RR)
% Number of literals : 170 ( 169 equ; 12 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 295 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = mult(B,ld(B,A)),
file('/tmp/MaedMax_11444') ).
cnf(eq_1,axiom,
A = ld(B,mult(B,A)),
file('/tmp/MaedMax_11444') ).
cnf(eq_2,axiom,
A = mult(rd(A,B),B),
file('/tmp/MaedMax_11444') ).
cnf(eq_3,axiom,
A = rd(mult(A,B),B),
file('/tmp/MaedMax_11444') ).
cnf(eq_4,axiom,
A = mult(A,unit),
file('/tmp/MaedMax_11444') ).
cnf(eq_5,axiom,
A = mult(unit,A),
file('/tmp/MaedMax_11444') ).
cnf(eq_6,axiom,
mult(A,mult(B,mult(B,C))) = mult(mult(A,mult(B,B)),C),
file('/tmp/MaedMax_11444') ).
cnf(eq_7,negated_conjecture,
mult(mult(a,mult(a,b)),c) != mult(mult(a,a),mult(b,c)),
file('/tmp/MaedMax_11444') ).
cnf(eq_8,plain,
ld(mult(A,mult(B,B)),mult(A,mult(B,mult(B,C)))) = C,
inference(cp,[status(thm)],[eq_6,eq_1]) ).
cnf(eq_9,plain,
ld(A,A) = unit,
inference(cp,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_10,plain,
ld(rd(A,B),A) = B,
inference(cp,[status(thm)],[eq_2,eq_1]) ).
cnf(eq_11,plain,
A = rd(A,unit),
inference(cp,[status(thm)],[eq_2,eq_4]) ).
cnf(eq_12,plain,
mult(A,mult(B,mult(B,ld(mult(A,mult(B,B)),x101)))) = x101,
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_13,plain,
mult(mult(x101,x101),x102) = mult(unit,mult(x101,mult(x101,x102))),
inference(cp,[status(thm)],[eq_5,eq_6]) ).
cnf(eq_14,plain,
mult(A,x102) = mult(rd(A,mult(x101,x101)),mult(x101,mult(x101,x102))),
inference(cp,[status(thm)],[eq_2,eq_6]) ).
cnf(eq_15,plain,
rd(mult(A,mult(B,mult(B,C))),C) = mult(A,mult(B,B)),
inference(cp,[status(thm)],[eq_6,eq_3]) ).
cnf(eq_16,plain,
rd(A,ld(B,A)) = B,
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_17,plain,
A = mult(B,mult(C,mult(C,ld(mult(B,mult(C,C)),A)))),
eq_12 ).
cnf(eq_18,plain,
mult(A,B) = mult(rd(A,mult(C,C)),mult(C,mult(C,B))),
eq_14 ).
cnf(eq_19,plain,
A = rd(B,ld(A,B)),
eq_16 ).
cnf(eq_20,plain,
mult(A,mult(A,B)) = mult(mult(A,A),B),
inference(rw,[status(thm)],[eq_13,eq_5]) ).
cnf(eq_21,plain,
A = ld(rd(B,A),B),
eq_10 ).
cnf(eq_22,plain,
A = ld(mult(B,mult(C,C)),mult(B,mult(C,mult(C,A)))),
eq_8 ).
cnf(eq_23,plain,
ld(mult(A,A),mult(A,mult(A,B))) = B,
inference(cp,[status(thm)],[eq_20,eq_1]) ).
cnf(eq_24,plain,
ld(B,A) = mult(C,mult(C,ld(mult(B,mult(C,C)),A))),
inference(cp,[status(thm)],[eq_17,eq_1]) ).
cnf(eq_25,plain,
mult(x101,mult(x101,ld(mult(unit,mult(x101,x101)),x102))) = x102,
inference(cp,[status(thm)],[eq_5,eq_17]) ).
cnf(eq_26,plain,
mult(rd(x100,mult(B,B)),mult(B,A)) = mult(x100,ld(B,A)),
inference(cp,[status(thm)],[eq_0,eq_18]) ).
cnf(eq_27,plain,
rd(A,x102) = mult(rd(A,mult(x101,mult(x101,x102))),mult(x101,x101)),
inference(cp,[status(thm)],[eq_2,eq_15]) ).
cnf(eq_28,plain,
rd(mult(x100,mult(B,A)),ld(B,A)) = mult(x100,mult(B,B)),
inference(cp,[status(thm)],[eq_0,eq_15]) ).
cnf(eq_29,plain,
mult(rd(A,mult(B,mult(B,C))),mult(B,B)) = rd(A,C),
eq_27 ).
cnf(eq_30,plain,
ld(A,B) = mult(C,mult(C,ld(mult(A,mult(C,C)),B))),
eq_24 ).
cnf(eq_31,plain,
A = mult(B,mult(B,ld(mult(B,B),A))),
inference(rw,[status(thm)],[eq_25,eq_5]) ).
cnf(eq_32,plain,
A = ld(mult(B,B),mult(B,mult(B,A))),
eq_23 ).
cnf(eq_33,plain,
mult(A,mult(B,B)) = rd(mult(A,mult(B,C)),ld(B,C)),
eq_28 ).
cnf(eq_34,plain,
mult(A,ld(B,C)) = mult(rd(A,mult(B,B)),mult(B,C)),
eq_26 ).
cnf(eq_35,negated_conjecture,
mult(a,mult(a,mult(b,c))) != mult(mult(a,mult(a,b)),c),
inference(cp,[status(thm)],[eq_20,eq_7]) ).
cnf(eq_36,negated_conjecture,
mult(mult(a,mult(a,b)),c) != mult(a,mult(a,mult(b,c))),
eq_35 ).
cnf(eq_37,plain,
ld(B,A) = mult(B,ld(mult(B,B),A)),
inference(cp,[status(thm)],[eq_31,eq_1]) ).
cnf(eq_38,plain,
rd(mult(unit,mult(B,C)),ld(B,C)) = mult(B,B),
inference(cp,[status(thm)],[eq_33,eq_5]) ).
cnf(eq_39,plain,
ld(mult(C,C),ld(A,B)) = ld(mult(A,mult(C,C)),B),
inference(cp,[status(thm)],[eq_30,eq_32]) ).
cnf(eq_40,plain,
ld(mult(x100,mult(B,B)),mult(x100,mult(B,A))) = ld(B,A),
inference(cp,[status(thm)],[eq_0,eq_22]) ).
cnf(eq_41,plain,
A = mult(rd(B,mult(B,B)),mult(B,A)),
inference(cp,[status(thm)],[eq_0,eq_34]) ).
cnf(eq_42,plain,
mult(rd(x100,mult(A,A)),A) = mult(x100,ld(A,unit)),
inference(cp,[status(thm)],[eq_4,eq_34]) ).
cnf(eq_43,plain,
rd(mult(x100,A),ld(A,unit)) = mult(x100,mult(A,A)),
inference(cp,[status(thm)],[eq_4,eq_33]) ).
cnf(eq_44,plain,
mult(A,A) = rd(mult(A,B),ld(A,B)),
inference(rw,[status(thm)],[eq_38,eq_5]) ).
cnf(eq_45,plain,
ld(A,B) = mult(A,ld(mult(A,A),B)),
eq_37 ).
cnf(eq_46,plain,
ld(A,B) = ld(mult(C,mult(A,A)),mult(C,mult(A,B))),
eq_40 ).
cnf(eq_47,plain,
ld(mult(A,A),ld(B,C)) = ld(mult(B,mult(A,A)),C),
eq_39 ).
cnf(eq_48,plain,
mult(A,ld(B,unit)) = mult(rd(A,mult(B,B)),B),
eq_42 ).
cnf(eq_49,plain,
mult(A,mult(B,B)) = rd(mult(A,B),ld(B,unit)),
eq_43 ).
cnf(eq_50,plain,
ld(A,ld(A,B)) = ld(mult(A,A),B),
inference(cp,[status(thm)],[eq_45,eq_1]) ).
cnf(eq_51,plain,
rd(A,ld(A,unit)) = mult(A,A),
inference(cp,[status(thm)],[eq_4,eq_44]) ).
cnf(eq_52,plain,
rd(A,ld(B,ld(B,A))) = mult(B,B),
inference(cp,[status(thm)],[eq_0,eq_44]) ).
cnf(eq_53,plain,
mult(A,A) = rd(A,ld(A,unit)),
eq_51 ).
cnf(eq_54,plain,
mult(A,A) = rd(B,ld(A,ld(A,B))),
eq_52 ).
cnf(eq_55,plain,
ld(A,rd(A,ld(A,unit))) = A,
inference(cp,[status(thm)],[eq_53,eq_1]) ).
cnf(eq_56,plain,
mult(rd(A,mult(mult(A,A),mult(A,A))),mult(A,A)) = ld(A,unit),
inference(cp,[status(thm)],[eq_48,eq_45]) ).
cnf(eq_57,plain,
mult(rd(B,mult(B,B)),B) = unit,
inference(cp,[status(thm)],[eq_48,eq_0]) ).
cnf(eq_58,plain,
rd(mult(A,ld(B,unit)),B) = rd(A,mult(B,B)),
inference(cp,[status(thm)],[eq_48,eq_3]) ).
cnf(eq_59,plain,
ld(rd(A,ld(A,unit)),x101) = ld(A,ld(A,x101)),
inference(cp,[status(thm)],[eq_53,eq_50]) ).
cnf(eq_60,plain,
mult(rd(x100,mult(A,mult(A,mult(A,A)))),mult(A,A)) = mult(x100,ld(mult(A,A),unit)),
inference(cp,[status(thm)],[eq_20,eq_48]) ).
cnf(eq_61,plain,
ld(A,unit) = rd(A,mult(A,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_20]),eq_29]) ).
cnf(eq_62,plain,
mult(rd(A,mult(A,A)),A) = unit,
eq_57 ).
cnf(eq_63,plain,
ld(A,ld(A,B)) = ld(rd(A,ld(A,unit)),B),
eq_59 ).
cnf(eq_64,plain,
mult(A,ld(mult(B,B),unit)) = rd(A,mult(B,B)),
inference(rw,[status(thm)],[eq_60,eq_29]) ).
cnf(eq_65,plain,
A = mult(ld(B,unit),mult(B,A)),
inference(rw,[status(thm)],[eq_41,eq_61]) ).
cnf(eq_66,plain,
mult(ld(A,unit),A) = unit,
inference(rw,[status(thm)],[eq_62,eq_61]) ).
cnf(eq_67,plain,
ld(ld(B,unit),A) = mult(B,A),
inference(cp,[status(thm)],[eq_65,eq_1]) ).
cnf(eq_68,plain,
mult(A,mult(rd(unit,A),x101)) = x101,
inference(cp,[status(thm)],[eq_21,eq_65]) ).
cnf(eq_69,plain,
mult(ld(B,unit),A) = ld(B,A),
inference(cp,[status(thm)],[eq_0,eq_65]) ).
cnf(eq_70,plain,
mult(ld(rd(A,B),unit),A) = B,
inference(cp,[status(thm)],[eq_2,eq_65]) ).
cnf(eq_71,plain,
rd(A,mult(B,A)) = ld(B,unit),
inference(cp,[status(thm)],[eq_65,eq_3]) ).
cnf(eq_72,plain,
rd(unit,A) = ld(A,unit),
inference(cp,[status(thm)],[eq_66,eq_3]) ).
cnf(eq_73,plain,
ld(ld(A,unit),B) = mult(A,B),
eq_67 ).
cnf(eq_74,plain,
ld(A,B) = mult(ld(A,unit),B),
eq_69 ).
cnf(eq_75,plain,
A = mult(ld(rd(B,A),unit),B),
eq_70 ).
cnf(eq_76,plain,
A = mult(B,mult(rd(unit,B),A)),
eq_68 ).
cnf(eq_77,plain,
ld(A,unit) = rd(unit,A),
eq_72 ).
cnf(eq_78,plain,
ld(A,unit) = rd(B,mult(A,B)),
eq_71 ).
cnf(eq_79,plain,
ld(A,rd(A,rd(unit,A))) = A,
inference(cp,[status(thm)],[eq_77,eq_55]) ).
cnf(eq_80,plain,
ld(rd(A,rd(unit,A)),x101) = ld(A,ld(A,x101)),
inference(cp,[status(thm)],[eq_77,eq_63]) ).
cnf(eq_81,plain,
rd(A,B) = ld(rd(B,A),unit),
inference(cp,[status(thm)],[eq_75,eq_3]) ).
cnf(eq_82,plain,
rd(ld(A,B),B) = ld(A,unit),
inference(cp,[status(thm)],[eq_74,eq_3]) ).
cnf(eq_83,plain,
A = ld(ld(B,unit),ld(B,A)),
inference(cp,[status(thm)],[eq_0,eq_73]) ).
cnf(eq_84,plain,
mult(x100,A) = ld(rd(unit,x100),A),
inference(cp,[status(thm)],[eq_0,eq_76]) ).
cnf(eq_85,plain,
mult(rd(unit,A),x101) = ld(A,x101),
inference(cp,[status(thm)],[eq_77,eq_74]) ).
cnf(eq_86,plain,
mult(ld(A,ld(A,unit)),x101) = ld(rd(A,ld(A,unit)),x101),
inference(cp,[status(thm)],[eq_63,eq_74]) ).
cnf(eq_87,plain,
ld(A,ld(A,B)) = mult(ld(A,ld(A,unit)),B),
inference(rw,[status(thm)],[eq_86,eq_63]) ).
cnf(eq_88,plain,
ld(A,B) = mult(rd(unit,A),B),
eq_85 ).
cnf(eq_89,plain,
ld(A,ld(A,B)) = ld(rd(A,rd(unit,A)),B),
eq_80 ).
cnf(eq_90,plain,
ld(rd(unit,A),B) = mult(A,B),
eq_84 ).
cnf(eq_91,plain,
ld(rd(A,B),unit) = rd(B,A),
eq_81 ).
cnf(eq_92,plain,
rd(unit,rd(B,A)) = rd(A,B),
inference(cp,[status(thm)],[eq_91,eq_19]) ).
cnf(eq_93,plain,
ld(ld(x101,ld(x101,unit)),unit) = mult(x101,x101),
inference(cp,[status(thm)],[eq_72,eq_54]) ).
cnf(eq_94,plain,
ld(ld(A,ld(A,unit)),unit) = ld(ld(A,unit),A),
inference(rw,[status(thm)],[eq_93,eq_73]) ).
cnf(eq_95,plain,
ld(rd(B,A),ld(rd(A,B),x101)) = x101,
inference(cp,[status(thm)],[eq_91,eq_83]) ).
cnf(eq_96,plain,
A = ld(rd(B,C),ld(rd(C,B),A)),
eq_95 ).
cnf(eq_97,plain,
mult(A,A) = rd(A,rd(unit,A)),
inference(cp,[status(thm)],[eq_79,eq_0]) ).
cnf(eq_98,plain,
A = ld(rd(unit,B),ld(B,A)),
inference(cp,[status(thm)],[eq_0,eq_90]) ).
cnf(eq_99,plain,
ld(rd(unit,rd(B,C)),A) = ld(rd(C,B),A),
inference(cp,[status(thm)],[eq_96,eq_98]) ).
cnf(eq_100,plain,
ld(rd(A,B),C) = ld(rd(unit,rd(B,A)),C),
eq_99 ).
cnf(eq_101,plain,
ld(ld(rd(A,B),unit),C) = ld(rd(B,A),C),
inference(rw,[status(thm)],[eq_100,eq_72]) ).
cnf(eq_102,plain,
ld(ld(A,ld(A,unit)),unit) = mult(A,A),
inference(rw,[status(thm)],[eq_94,eq_73]) ).
cnf(eq_103,plain,
ld(rd(A,B),C) = mult(rd(B,A),C),
inference(rw,[status(thm)],[eq_101,eq_73]) ).
cnf(eq_104,plain,
mult(ld(A,mult(x101,x101)),x102) = mult(ld(A,unit),mult(x101,mult(x101,x102))),
inference(cp,[status(thm)],[eq_74,eq_6]) ).
cnf(eq_105,plain,
mult(ld(ld(A,unit),A),x101) = ld(ld(A,ld(A,unit)),x101),
inference(cp,[status(thm)],[eq_94,eq_74]) ).
cnf(eq_106,plain,
ld(ld(A,ld(A,unit)),B) = mult(A,mult(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_105,eq_73]),eq_20]) ).
cnf(eq_107,plain,
ld(mult(A,A),unit) = rd(ld(A,B),mult(A,B)),
inference(cp,[status(thm)],[eq_44,eq_91]) ).
cnf(eq_108,plain,
ld(A,mult(B,mult(B,C))) = mult(ld(A,mult(B,B)),C),
inference(rw,[status(thm)],[eq_104,eq_74]) ).
cnf(eq_109,plain,
mult(ld(mult(B,mult(B,C)),mult(B,B)),C) = unit,
inference(cp,[status(thm)],[eq_108,eq_9]) ).
cnf(eq_110,plain,
ld(ld(mult(C,mult(A,A)),mult(C,mult(A,ld(A,unit)))),unit) = mult(A,A),
inference(cp,[status(thm)],[eq_46,eq_102]) ).
cnf(eq_111,plain,
ld(ld(mult(A,A),unit),ld(A,B)) = mult(A,B),
inference(cp,[status(thm)],[eq_107,eq_21]) ).
cnf(eq_112,plain,
ld(ld(mult(A,mult(B,B)),A),unit) = mult(B,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_110,eq_0]),eq_4]) ).
cnf(eq_113,plain,
mult(ld(mult(A,mult(A,B)),mult(A,A)),B) = unit,
eq_109 ).
cnf(eq_114,plain,
ld(ld(A,ld(A,unit)),ld(A,B)) = mult(A,B),
inference(rw,[status(thm)],[eq_111,eq_50]) ).
cnf(eq_115,plain,
mult(ld(ld(ld(A,ld(A,unit)),B),mult(A,A)),B) = unit,
inference(rw,[status(thm)],[eq_113,eq_106]) ).
cnf(eq_116,plain,
rd(unit,mult(B,B)) = ld(mult(A,mult(B,B)),A),
inference(cp,[status(thm)],[eq_112,eq_19]) ).
cnf(eq_117,plain,
ld(A,ld(A,unit)) = ld(mult(B,mult(A,A)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_116,eq_72]),eq_50]) ).
cnf(eq_118,plain,
ld(A,ld(A,ld(B,C))) = ld(mult(B,mult(A,A)),C),
inference(rw,[status(thm)],[eq_47,eq_50]) ).
cnf(eq_119,plain,
rd(B,ld(A,ld(A,unit))) = mult(B,mult(A,A)),
inference(cp,[status(thm)],[eq_117,eq_19]) ).
cnf(eq_120,plain,
mult(A,mult(B,B)) = rd(A,ld(B,ld(B,unit))),
eq_119 ).
cnf(eq_121,plain,
mult(ld(mult(A,B),mult(A,A)),ld(A,B)) = unit,
inference(cp,[status(thm)],[eq_114,eq_115]) ).
cnf(eq_122,plain,
mult(ld(A,mult(x100,x100)),mult(ld(x100,ld(x100,unit)),A)) = unit,
inference(cp,[status(thm)],[eq_1,eq_115]) ).
cnf(eq_123,plain,
mult(ld(A,mult(B,B)),ld(B,ld(B,A))) = unit,
inference(rw,[status(thm)],[eq_122,eq_87]) ).
cnf(eq_124,plain,
rd(unit,ld(A,B)) = ld(mult(A,B),mult(A,A)),
inference(cp,[status(thm)],[eq_121,eq_3]) ).
cnf(eq_125,plain,
rd(unit,ld(B,ld(B,A))) = ld(A,mult(B,B)),
inference(cp,[status(thm)],[eq_123,eq_3]) ).
cnf(eq_126,plain,
ld(ld(A,B),unit) = ld(mult(A,B),mult(A,A)),
inference(rw,[status(thm)],[eq_124,eq_72]) ).
cnf(eq_127,plain,
ld(A,mult(B,B)) = ld(ld(B,ld(B,A)),unit),
inference(rw,[status(thm)],[eq_125,eq_72]) ).
cnf(eq_128,plain,
rd(mult(A,A),ld(ld(A,B),unit)) = mult(A,B),
inference(cp,[status(thm)],[eq_126,eq_19]) ).
cnf(eq_129,plain,
rd(mult(B,B),ld(A,unit)) = mult(B,mult(B,A)),
inference(cp,[status(thm)],[eq_1,eq_128]) ).
cnf(eq_130,plain,
rd(ld(A,B),ld(B,unit)) = mult(ld(A,unit),mult(B,B)),
inference(cp,[status(thm)],[eq_74,eq_49]) ).
cnf(eq_131,plain,
ld(A,mult(B,B)) = rd(ld(A,B),ld(B,unit)),
inference(rw,[status(thm)],[eq_130,eq_74]) ).
cnf(eq_132,plain,
ld(rd(A,mult(B,B)),unit) = rd(B,mult(A,ld(B,unit))),
inference(cp,[status(thm)],[eq_58,eq_91]) ).
cnf(eq_133,plain,
rd(A,ld(B,unit)) = ld(rd(B,A),mult(B,B)),
inference(cp,[status(thm)],[eq_21,eq_131]) ).
cnf(eq_134,plain,
mult(A,mult(A,B)) = rd(mult(A,A),ld(B,unit)),
eq_129 ).
cnf(eq_135,plain,
rd(A,mult(B,ld(A,unit))) = rd(mult(A,A),B),
inference(rw,[status(thm)],[eq_132,eq_91]) ).
cnf(eq_136,plain,
ld(rd(A,B),mult(A,A)) = rd(B,ld(A,unit)),
eq_133 ).
cnf(eq_137,plain,
rd(x100,ld(A,ld(x100,unit))) = rd(mult(x100,x100),ld(A,unit)),
inference(cp,[status(thm)],[eq_74,eq_135]) ).
cnf(eq_138,plain,
rd(rd(B,ld(A,unit)),mult(A,A)) = ld(rd(A,B),unit),
inference(cp,[status(thm)],[eq_136,eq_82]) ).
cnf(eq_139,plain,
mult(A,mult(A,B)) = rd(A,ld(B,ld(A,unit))),
inference(rw,[status(thm)],[eq_137,eq_134]) ).
cnf(eq_140,plain,
rd(A,B) = rd(rd(A,ld(B,unit)),mult(B,B)),
inference(rw,[status(thm)],[eq_138,eq_91]) ).
cnf(eq_141,plain,
mult(A,mult(B,B)) = rd(A,ld(mult(B,B),unit)),
inference(rw,[status(thm)],[eq_120,eq_50]) ).
cnf(eq_142,plain,
mult(rd(A,ld(B,unit)),ld(mult(B,B),unit)) = rd(A,B),
inference(rw,[status(thm)],[eq_140,eq_64]) ).
cnf(eq_143,plain,
ld(A,mult(B,B)) = ld(ld(mult(B,B),A),unit),
inference(rw,[status(thm)],[eq_127,eq_50]) ).
cnf(eq_144,plain,
mult(ld(A,mult(B,B)),ld(B,unit)) = ld(A,B),
inference(cp,[status(thm)],[eq_131,eq_2]) ).
cnf(eq_145,plain,
ld(A,B) = mult(ld(A,mult(B,B)),ld(B,unit)),
eq_144 ).
cnf(eq_146,negated_conjecture,
mult(rd(a,ld(b,ld(a,unit))),c) != mult(a,mult(a,mult(b,c))),
inference(cp,[status(thm)],[eq_139,eq_36]) ).
cnf(eq_147,plain,
mult(ld(ld(A,B),unit),ld(A,unit)) = ld(mult(A,B),A),
inference(cp,[status(thm)],[eq_126,eq_144]) ).
cnf(eq_148,plain,
mult(ld(ld(mult(B,B),A),unit),ld(B,unit)) = ld(A,B),
inference(cp,[status(thm)],[eq_143,eq_144]) ).
cnf(eq_149,plain,
ld(A,B) = ld(ld(mult(B,B),A),ld(B,unit)),
inference(rw,[status(thm)],[eq_148,eq_74]) ).
cnf(eq_150,plain,
ld(ld(A,B),ld(A,unit)) = ld(mult(A,B),A),
inference(rw,[status(thm)],[eq_147,eq_74]) ).
cnf(eq_151,negated_conjecture,
mult(rd(a,mult(ld(b,mult(ld(a,unit),ld(a,unit))),ld(ld(a,unit),unit))),c) != mult(a,mult(a,mult(b,c))),
inference(cp,[status(thm)],[eq_145,eq_146]) ).
cnf(eq_152,negated_conjecture,
ld(ld(b,ld(mult(a,a),unit)),c) != mult(a,mult(a,mult(b,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_151,eq_74]),eq_73]),eq_50]),eq_4]),eq_78]),eq_74]) ).
cnf(eq_153,negated_conjecture,
ld(ld(mult(c,c),ld(b,ld(mult(a,a),unit))),ld(c,unit)) != mult(a,mult(a,mult(b,c))),
inference(cp,[status(thm)],[eq_149,eq_152]) ).
cnf(eq_154,plain,
rd(A,B) = rd(rd(A,rd(unit,B)),rd(B,rd(unit,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_140,eq_77]),eq_97]) ).
cnf(eq_155,plain,
mult(A,rd(B,rd(unit,B))) = rd(A,rd(rd(unit,B),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_141,eq_97]),eq_97]),eq_103]),eq_4]) ).
cnf(eq_156,plain,
ld(ld(A,B),rd(unit,A)) = ld(mult(A,B),A),
inference(rw,[status(thm)],[eq_150,eq_77]) ).
cnf(eq_157,negated_conjecture,
ld(mult(rd(rd(unit,c),c),ld(b,rd(rd(unit,a),a))),rd(unit,c)) != mult(a,mult(a,mult(b,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_153,eq_97]),eq_97]),eq_77]),eq_103]),eq_4]),eq_103]) ).
cnf(eq_158,negated_conjecture,
mult(rd(unit,mult(rd(rd(unit,c),c),mult(rd(unit,b),rd(rd(unit,a),a)))),rd(unit,c)) != mult(a,mult(a,mult(b,c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_157,eq_88]),eq_88]) ).
cnf(eq_159,plain,
ld(rd(rd(unit,A),B),rd(rd(unit,A),A)) = rd(B,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_142,eq_77]),eq_97]),eq_77]),eq_92]),eq_103]) ).
cnf(eq_160,plain,
rd(ld(A,unit),rd(x101,rd(unit,x101))) = rd(ld(A,rd(unit,x101)),x101),
inference(cp,[status(thm)],[eq_82,eq_154]) ).
cnf(eq_161,plain,
rd(ld(A,rd(unit,B)),B) = rd(rd(unit,A),rd(B,rd(unit,B))),
inference(rw,[status(thm)],[eq_160,eq_77]) ).
cnf(eq_162,plain,
ld(A,ld(A,ld(B,C))) = ld(rd(B,rd(rd(unit,A),A)),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_118,eq_97]),eq_155]) ).
cnf(eq_163,plain,
ld(A,B) = ld(ld(B,ld(B,A)),rd(unit,B)),
inference(cp,[status(thm)],[eq_0,eq_156]) ).
cnf(eq_164,negated_conjecture,
ld(ld(c,ld(c,ld(b,rd(rd(unit,a),a)))),rd(unit,c)) != ld(rd(unit,a),ld(rd(unit,a),ld(rd(unit,b),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)],[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_158,eq_90]),eq_92]),eq_11]),eq_90]),eq_92]),eq_89]),eq_90]),eq_92]),eq_11]),eq_90]),eq_90]),eq_90]) ).
cnf(eq_165,plain,
ld(A,rd(rd(unit,x100),x100)) = rd(ld(A,rd(unit,x100)),x100),
inference(cp,[status(thm)],[eq_19,eq_159]) ).
cnf(eq_166,plain,
ld(A,rd(rd(unit,B),B)) = rd(ld(A,rd(unit,B)),B),
eq_165 ).
cnf(eq_167,negated_conjecture,
ld(rd(rd(unit,b),rd(rd(unit,rd(unit,a)),rd(unit,a))),c) != ld(ld(c,ld(c,ld(b,rd(rd(unit,a),a)))),rd(unit,c)),
inference(cp,[status(thm)],[eq_162,eq_164]) ).
cnf(eq_168,negated_conjecture,
ld(rd(ld(b,rd(unit,a)),a),c) != ld(rd(ld(b,rd(unit,a)),a),c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_167,eq_92]),eq_11]),eq_161]),eq_166]),eq_163]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP686-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 04:11:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 17.89/18.11 % SZS status Unsatisfiable
% 17.89/18.11 % SZS output start CNFRefutation for /tmp/MaedMax_11444
% See solution above
% 17.89/18.12
%------------------------------------------------------------------------------