TSTP Solution File: GRP697-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP697-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n014.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 9.53s 9.78s
% Output : CNFRefutation 9.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 12
% Syntax : Number of clauses : 149 ( 149 unt; 0 nHn; 11 RR)
% Number of literals : 149 ( 148 equ; 10 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 250 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = mult(B,ld(B,A)),
file('/tmp/MaedMax_10892') ).
cnf(eq_1,axiom,
A = ld(B,mult(B,A)),
file('/tmp/MaedMax_10892') ).
cnf(eq_2,axiom,
A = mult(rd(A,B),B),
file('/tmp/MaedMax_10892') ).
cnf(eq_3,axiom,
A = rd(mult(A,B),B),
file('/tmp/MaedMax_10892') ).
cnf(eq_4,axiom,
A = mult(A,unit),
file('/tmp/MaedMax_10892') ).
cnf(eq_5,axiom,
A = mult(unit,A),
file('/tmp/MaedMax_10892') ).
cnf(eq_6,axiom,
mult(A,i(mult(B,A))) = i(B),
file('/tmp/MaedMax_10892') ).
cnf(eq_7,axiom,
mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C)),
file('/tmp/MaedMax_10892') ).
cnf(eq_8,axiom,
mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C))),
file('/tmp/MaedMax_10892') ).
cnf(eq_9,axiom,
mult(i(A),A) = unit,
file('/tmp/MaedMax_10892') ).
cnf(eq_10,axiom,
mult(A,i(A)) = unit,
file('/tmp/MaedMax_10892') ).
cnf(eq_11,negated_conjecture,
mult(mult(a,mult(b,mult(b,c))),b) != mult(mult(a,b),mult(b,mult(c,b))),
file('/tmp/MaedMax_10892') ).
cnf(eq_12,plain,
ld(A,i(B)) = i(mult(B,A)),
inference(cp,[status(thm)],[eq_6,eq_1]) ).
cnf(eq_13,plain,
ld(A,unit) = i(A),
inference(cp,[status(thm)],[eq_10,eq_1]) ).
cnf(eq_14,plain,
ld(i(A),unit) = A,
inference(cp,[status(thm)],[eq_9,eq_1]) ).
cnf(eq_15,plain,
ld(rd(A,B),A) = B,
inference(cp,[status(thm)],[eq_2,eq_1]) ).
cnf(eq_16,plain,
A = rd(A,unit),
inference(cp,[status(thm)],[eq_2,eq_4]) ).
cnf(eq_17,plain,
mult(i(mult(B,A)),i(i(B))) = i(A),
inference(cp,[status(thm)],[eq_6,eq_6]) ).
cnf(eq_18,plain,
mult(B,i(A)) = i(rd(A,B)),
inference(cp,[status(thm)],[eq_2,eq_6]) ).
cnf(eq_19,plain,
mult(unit,ld(A,mult(x102,A))) = mult(mult(i(A),x102),A),
inference(cp,[status(thm)],[eq_9,eq_8]) ).
cnf(eq_20,plain,
mult(mult(x100,B),ld(B,A)) = mult(mult(x100,rd(A,B)),B),
inference(cp,[status(thm)],[eq_2,eq_8]) ).
cnf(eq_21,plain,
mult(rd(mult(i(A),x101),i(A)),unit) = mult(i(A),mult(x101,A)),
inference(cp,[status(thm)],[eq_9,eq_7]) ).
cnf(eq_22,plain,
rd(A,ld(B,A)) = B,
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_23,plain,
rd(unit,i(A)) = A,
inference(cp,[status(thm)],[eq_10,eq_3]) ).
cnf(eq_24,plain,
rd(unit,A) = i(A),
inference(cp,[status(thm)],[eq_9,eq_3]) ).
cnf(eq_25,plain,
rd(mult(A,mult(B,C)),mult(A,C)) = rd(mult(A,B),A),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_26,plain,
mult(i(A),mult(B,A)) = rd(mult(i(A),B),i(A)),
inference(rw,[status(thm)],[eq_21,eq_4]) ).
cnf(eq_27,plain,
A = ld(rd(B,A),B),
eq_15 ).
cnf(eq_28,plain,
A = rd(B,ld(A,B)),
eq_22 ).
cnf(eq_29,plain,
mult(i(mult(A,B)),i(i(A))) = i(B),
eq_17 ).
cnf(eq_30,plain,
mult(mult(A,B),ld(B,C)) = mult(mult(A,rd(C,B)),B),
eq_20 ).
cnf(eq_31,plain,
A = rd(unit,i(A)),
eq_23 ).
cnf(eq_32,plain,
ld(A,mult(B,A)) = mult(mult(i(A),B),A),
inference(rw,[status(thm)],[eq_19,eq_5]) ).
cnf(eq_33,plain,
A = ld(i(A),unit),
eq_14 ).
cnf(eq_34,plain,
mult(A,i(B)) = i(rd(B,A)),
eq_18 ).
cnf(eq_35,plain,
mult(A,rd(unit,A)) = unit,
inference(cp,[status(thm)],[eq_24,eq_10]) ).
cnf(eq_36,plain,
ld(A,unit) = mult(B,ld(mult(A,B),unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_13]),eq_13]) ).
cnf(eq_37,plain,
mult(ld(A,unit),A) = unit,
inference(rw,[status(thm)],[eq_9,eq_13]) ).
cnf(eq_38,plain,
A = ld(ld(A,unit),unit),
inference(rw,[status(thm)],[eq_33,eq_13]) ).
cnf(eq_39,plain,
ld(A,unit) = rd(unit,A),
inference(rw,[status(thm)],[eq_24,eq_13]) ).
cnf(eq_40,plain,
A = rd(unit,rd(unit,A)),
inference(rw,[status(thm)],[eq_31,eq_24]) ).
cnf(eq_41,plain,
A = ld(rd(unit,A),unit),
inference(rw,[status(thm)],[eq_33,eq_24]) ).
cnf(eq_42,plain,
mult(unit,ld(A,mult(x102,A))) = mult(mult(ld(A,unit),x102),A),
inference(cp,[status(thm)],[eq_37,eq_8]) ).
cnf(eq_43,plain,
mult(mult(x100,A),ld(A,unit)) = mult(mult(x100,ld(A,unit)),A),
inference(cp,[status(thm)],[eq_37,eq_8]) ).
cnf(eq_44,plain,
ld(A,mult(B,A)) = mult(mult(ld(A,unit),B),A),
inference(rw,[status(thm)],[eq_42,eq_5]) ).
cnf(eq_45,plain,
mult(mult(A,B),ld(B,unit)) = mult(mult(A,ld(B,unit)),B),
eq_43 ).
cnf(eq_46,plain,
A = i(i(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_24]),eq_13]) ).
cnf(eq_47,plain,
mult(A,rd(unit,B)) = rd(unit,rd(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_24]),eq_24]) ).
cnf(eq_48,plain,
rd(mult(x100,unit),mult(x100,rd(unit,A))) = rd(mult(x100,A),x100),
inference(cp,[status(thm)],[eq_35,eq_25]) ).
cnf(eq_49,plain,
rd(A,mult(A,rd(unit,B))) = rd(mult(A,B),A),
inference(rw,[status(thm)],[eq_48,eq_4]) ).
cnf(eq_50,plain,
mult(ld(A,i(B)),B) = i(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_12]),eq_46]) ).
cnf(eq_51,plain,
ld(A,i(rd(B,A))) = i(B),
inference(cp,[status(thm)],[eq_34,eq_1]) ).
cnf(eq_52,plain,
mult(x100,A) = i(rd(i(A),x100)),
inference(cp,[status(thm)],[eq_46,eq_34]) ).
cnf(eq_53,plain,
i(A) = ld(ld(B,A),i(B)),
inference(cp,[status(thm)],[eq_0,eq_12]) ).
cnf(eq_54,plain,
i(i(rd(B,A))) = ld(i(B),i(A)),
inference(cp,[status(thm)],[eq_34,eq_12]) ).
cnf(eq_55,plain,
ld(ld(A,B),i(A)) = i(B),
eq_53 ).
cnf(eq_56,plain,
ld(i(A),i(B)) = rd(A,B),
inference(rw,[status(thm)],[eq_54,eq_46]) ).
cnf(eq_57,plain,
mult(A,B) = i(rd(i(B),A)),
eq_52 ).
cnf(eq_58,plain,
ld(ld(A,unit),ld(B,unit)) = rd(A,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_13]),eq_13]) ).
cnf(eq_59,plain,
ld(A,unit) = mult(ld(A,ld(B,unit)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_13]),eq_13]) ).
cnf(eq_60,plain,
ld(A,ld(B,unit)) = ld(mult(B,A),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_13]),eq_13]) ).
cnf(eq_61,plain,
rd(A,mult(A,ld(B,unit))) = rd(mult(A,B),A),
inference(rw,[status(thm)],[eq_49,eq_39]) ).
cnf(eq_62,plain,
ld(rd(ld(A,unit),B),unit) = mult(B,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_13]),eq_13]) ).
cnf(eq_63,plain,
ld(rd(A,B),unit) = mult(B,ld(A,unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_39]),eq_39]) ).
cnf(eq_64,plain,
ld(A,i(B)) = rd(i(A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_57]),eq_46]) ).
cnf(eq_65,plain,
i(B) = rd(x100,rd(B,i(x100))),
inference(cp,[status(thm)],[eq_51,eq_56]) ).
cnf(eq_66,plain,
rd(i(A),i(B)) = ld(A,B),
inference(cp,[status(thm)],[eq_55,eq_28]) ).
cnf(eq_67,plain,
rd(i(B),rd(A,B)) = i(A),
inference(cp,[status(thm)],[eq_56,eq_28]) ).
cnf(eq_68,plain,
rd(A,rd(B,i(A))) = i(B),
eq_65 ).
cnf(eq_69,plain,
rd(i(A),rd(B,A)) = i(B),
eq_67 ).
cnf(eq_70,plain,
ld(A,B) = rd(i(A),i(B)),
eq_66 ).
cnf(eq_71,plain,
rd(i(ld(A,B)),A) = i(B),
inference(cp,[status(thm)],[eq_28,eq_69]) ).
cnf(eq_72,plain,
mult(A,B) = rd(unit,rd(rd(unit,B),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_62,eq_39]),eq_39]) ).
cnf(eq_73,plain,
ld(A,B) = rd(rd(unit,A),rd(unit,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_70,eq_24]),eq_24]) ).
cnf(eq_74,plain,
rd(rd(unit,ld(A,B)),A) = rd(unit,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_71,eq_24]),eq_24]) ).
cnf(eq_75,plain,
ld(A,rd(unit,B)) = rd(rd(unit,A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_64,eq_24]),eq_24]) ).
cnf(eq_76,plain,
rd(rd(unit,A),rd(B,A)) = rd(unit,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_69,eq_24]),eq_24]) ).
cnf(eq_77,plain,
mult(rd(unit,B),A) = rd(unit,ld(A,B)),
inference(cp,[status(thm)],[eq_74,eq_2]) ).
cnf(eq_78,plain,
mult(rd(unit,B),rd(B,A)) = rd(unit,A),
inference(cp,[status(thm)],[eq_76,eq_2]) ).
cnf(eq_79,plain,
rd(rd(unit,A),B) = rd(unit,mult(B,A)),
inference(cp,[status(thm)],[eq_1,eq_74]) ).
cnf(eq_80,plain,
mult(rd(unit,A),B) = rd(unit,ld(B,A)),
eq_77 ).
cnf(eq_81,plain,
mult(rd(unit,A),rd(A,B)) = rd(unit,B),
eq_78 ).
cnf(eq_82,plain,
ld(x100,A) = i(mult(i(A),x100)),
inference(cp,[status(thm)],[eq_46,eq_12]) ).
cnf(eq_83,plain,
i(mult(A,i(B))) = rd(B,A),
inference(cp,[status(thm)],[eq_34,eq_46]) ).
cnf(eq_84,plain,
ld(A,B) = i(mult(i(B),A)),
eq_82 ).
cnf(eq_85,plain,
rd(A,B) = i(mult(B,i(A))),
eq_83 ).
cnf(eq_86,plain,
mult(mult(i(A),B),A) = i(mult(i(mult(B,A)),A)),
inference(rw,[status(thm)],[eq_32,eq_84]) ).
cnf(eq_87,plain,
mult(A,mult(mult(i(A),B),A)) = i(i(mult(B,A))),
inference(cp,[status(thm)],[eq_86,eq_6]) ).
cnf(eq_88,plain,
mult(A,B) = mult(B,mult(mult(i(B),A),B)),
inference(rw,[status(thm)],[eq_87,eq_46]) ).
cnf(eq_89,plain,
ld(A,B) = rd(unit,mult(rd(unit,B),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_84,eq_24]),eq_24]) ).
cnf(eq_90,plain,
rd(A,B) = rd(unit,mult(B,rd(unit,A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_85,eq_24]),eq_24]) ).
cnf(eq_91,plain,
mult(A,B) = mult(B,mult(mult(rd(unit,B),A),B)),
inference(rw,[status(thm)],[eq_88,eq_24]) ).
cnf(eq_92,plain,
ld(A,unit) = rd(ld(ld(B,A),unit),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_74,eq_39]),eq_39]) ).
cnf(eq_93,plain,
ld(A,unit) = rd(B,rd(A,ld(B,unit))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_68,eq_13]),eq_13]) ).
cnf(eq_94,plain,
ld(ld(A,unit),B) = rd(A,ld(B,unit)),
inference(cp,[status(thm)],[eq_93,eq_27]) ).
cnf(eq_95,plain,
ld(ld(A,unit),ld(ld(B,A),unit)) = B,
inference(cp,[status(thm)],[eq_92,eq_27]) ).
cnf(eq_96,plain,
A = ld(ld(B,unit),ld(ld(A,B),unit)),
eq_95 ).
cnf(eq_97,plain,
mult(x100,mult(A,x100)) = mult(ld(rd(unit,x100),A),x100),
inference(cp,[status(thm)],[eq_0,eq_91]) ).
cnf(eq_98,plain,
mult(A,mult(B,A)) = mult(ld(rd(unit,A),B),A),
eq_97 ).
cnf(eq_99,plain,
ld(ld(A,B),unit) = mult(ld(B,unit),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_80,eq_39]),eq_39]) ).
cnf(eq_100,plain,
ld(mult(A,ld(B,unit)),unit) = rd(B,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_90,eq_39]),eq_39]) ).
cnf(eq_101,plain,
ld(A,unit) = mult(ld(B,unit),rd(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_81,eq_39]),eq_39]) ).
cnf(eq_102,plain,
ld(mult(A,B),unit) = rd(ld(B,unit),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_79,eq_39]),eq_39]) ).
cnf(eq_103,plain,
ld(A,B) = ld(mult(ld(B,unit),A),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_89,eq_39]),eq_39]) ).
cnf(eq_104,plain,
mult(A,mult(B,A)) = mult(ld(ld(A,unit),B),A),
inference(rw,[status(thm)],[eq_98,eq_39]) ).
cnf(eq_105,plain,
ld(ld(A,B),B) = ld(ld(mult(A,B),B),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_26,eq_13]),eq_99]),eq_13]),eq_13]),eq_99]),eq_102]),eq_99]),eq_38]) ).
cnf(eq_106,plain,
mult(B,ld(mult(mult(A,B),ld(B,unit)),unit)) = ld(mult(A,ld(B,unit)),unit),
inference(cp,[status(thm)],[eq_45,eq_36]) ).
cnf(eq_107,plain,
ld(mult(mult(A,B),ld(B,unit)),unit) = ld(B,ld(mult(A,ld(B,unit)),unit)),
inference(cp,[status(thm)],[eq_45,eq_60]) ).
cnf(eq_108,plain,
mult(A,rd(A,mult(B,A))) = rd(A,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_106,eq_100]),eq_100]) ).
cnf(eq_109,plain,
ld(A,rd(A,B)) = rd(A,mult(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_107,eq_100]),eq_100]) ).
cnf(eq_110,plain,
rd(x100,rd(ld(x100,unit),mult(ld(x100,unit),ld(B,unit)))) = ld(mult(ld(x100,unit),B),unit),
inference(cp,[status(thm)],[eq_61,eq_93]) ).
cnf(eq_111,plain,
ld(ld(mult(ld(B,unit),x101),unit),B) = rd(ld(B,unit),mult(ld(B,unit),ld(x101,unit))),
inference(cp,[status(thm)],[eq_94,eq_61]) ).
cnf(eq_112,plain,
rd(ld(A,unit),ld(B,unit)) = rd(ld(B,unit),mult(ld(B,unit),ld(rd(B,A),unit))),
inference(cp,[status(thm)],[eq_101,eq_61]) ).
cnf(eq_113,plain,
ld(ld(A,B),B) = mult(ld(B,A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_111,eq_103]),eq_102]),eq_44]),eq_99]),eq_103]) ).
cnf(eq_114,plain,
ld(A,B) = mult(rd(B,mult(A,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)],[inference(rw,[status(thm)],[eq_112,eq_102]),eq_103]),eq_63]),eq_102]),eq_44]),eq_45]),eq_99]),eq_100]) ).
cnf(eq_115,plain,
ld(A,B) = rd(B,mult(ld(B,A),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_110,eq_102]),eq_44]),eq_99]),eq_103]),eq_103]) ).
cnf(eq_116,plain,
mult(B,ld(A,B)) = rd(B,ld(B,A)),
inference(cp,[status(thm)],[eq_115,eq_108]) ).
cnf(eq_117,plain,
mult(B,rd(B,ld(A,B))) = rd(B,rd(B,mult(A,B))),
inference(cp,[status(thm)],[eq_114,eq_108]) ).
cnf(eq_118,plain,
mult(rd(B,A),B) = ld(rd(A,B),B),
inference(cp,[status(thm)],[eq_2,eq_114]) ).
cnf(eq_119,plain,
rd(B,mult(A,B)) = ld(mult(B,A),B),
inference(cp,[status(thm)],[eq_1,eq_115]) ).
cnf(eq_120,plain,
rd(ld(A,B),B) = rd(B,mult(A,B)),
inference(cp,[status(thm)],[eq_114,eq_3]) ).
cnf(eq_121,plain,
ld(rd(A,B),B) = mult(rd(B,A),B),
eq_118 ).
cnf(eq_122,plain,
rd(A,mult(B,A)) = rd(ld(B,A),A),
eq_120 ).
cnf(eq_123,plain,
mult(A,ld(B,A)) = rd(A,ld(A,B)),
eq_116 ).
cnf(eq_124,plain,
ld(mult(A,B),A) = rd(A,mult(B,A)),
eq_119 ).
cnf(eq_125,plain,
mult(A,B) = rd(A,rd(A,mult(B,A))),
inference(rw,[status(thm)],[eq_117,eq_28]) ).
cnf(eq_126,plain,
mult(A,B) = ld(ld(mult(B,A),B),B),
inference(cp,[status(thm)],[eq_1,eq_113]) ).
cnf(eq_127,plain,
ld(ld(mult(A,B),A),A) = mult(B,A),
eq_126 ).
cnf(eq_128,plain,
ld(mult(A,ld(B,A)),A) = ld(A,B),
inference(cp,[status(thm)],[eq_123,eq_27]) ).
cnf(eq_129,plain,
rd(B,mult(rd(B,A),B)) = rd(A,B),
inference(cp,[status(thm)],[eq_121,eq_28]) ).
cnf(eq_130,plain,
rd(B,A) = ld(mult(B,rd(A,B)),B),
inference(cp,[status(thm)],[eq_2,eq_124]) ).
cnf(eq_131,plain,
ld(mult(A,B),A) = rd(ld(B,A),A),
inference(cp,[status(thm)],[eq_124,eq_122]) ).
cnf(eq_132,plain,
ld(mult(A,rd(B,A)),A) = rd(A,B),
eq_130 ).
cnf(eq_133,negated_conjecture,
mult(mult(a,b),rd(b,rd(b,mult(mult(c,b),b)))) != mult(mult(a,mult(b,mult(b,c))),b),
inference(cp,[status(thm)],[eq_125,eq_11]) ).
cnf(eq_134,negated_conjecture,
mult(mult(a,b),ld(mult(b,rd(rd(b,mult(mult(c,b),b)),b)),b)) != mult(mult(a,mult(b,mult(b,c))),b),
inference(cp,[status(thm)],[eq_132,eq_133]) ).
cnf(eq_135,negated_conjecture,
mult(mult(a,mult(b,mult(b,c))),b) != mult(mult(a,b),ld(mult(b,rd(ld(mult(b,mult(c,b)),b),b)),b)),
inference(rw,[status(thm)],[eq_134,eq_124]) ).
cnf(eq_136,negated_conjecture,
mult(mult(a,mult(b,mult(b,c))),b) != mult(mult(a,b),ld(mult(b,ld(ld(ld(mult(b,mult(c,b)),b),unit),ld(b,unit))),b)),
inference(rw,[status(thm)],[eq_135,eq_58]) ).
cnf(eq_137,plain,
mult(ld(ld(x101,unit),B),x101) = ld(mult(ld(x101,unit),ld(B,ld(x101,unit))),unit),
inference(cp,[status(thm)],[eq_128,eq_59]) ).
cnf(eq_138,plain,
ld(ld(B,unit),ld(ld(A,B),B)) = mult(A,B),
inference(cp,[status(thm)],[eq_105,eq_96]) ).
cnf(eq_139,plain,
ld(ld(A,unit),ld(ld(B,A),A)) = mult(B,A),
eq_138 ).
cnf(eq_140,plain,
ld(ld(A,ld(B,unit)),B) = mult(B,mult(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_137,eq_104]),eq_99]),eq_38]) ).
cnf(eq_141,plain,
ld(ld(A,unit),mult(B,A)) = mult(mult(A,B),A),
inference(cp,[status(thm)],[eq_127,eq_139]) ).
cnf(eq_142,negated_conjecture,
mult(mult(a,mult(b,mult(b,c))),b) != mult(mult(a,b),ld(mult(b,ld(ld(ld(ld(ld(c,ld(b,unit)),b),b),unit),ld(b,unit))),b)),
inference(rw,[status(thm)],[eq_136,eq_140]) ).
cnf(eq_143,plain,
mult(mult(A,B),A) = rd(A,rd(rd(unit,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)],[eq_141,eq_73]),eq_16]),eq_16]),eq_73]),eq_40]),eq_79]) ).
cnf(eq_144,negated_conjecture,
mult(mult(a,mult(b,mult(b,c))),b) != mult(mult(a,b),rd(ld(ld(rd(unit,ld(ld(ld(c,rd(unit,b)),b),b)),rd(unit,b)),b),b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_142,eq_39]),eq_39]),eq_39]),eq_131]) ).
cnf(eq_145,negated_conjecture,
mult(mult(a,mult(b,mult(b,c))),b) != mult(mult(a,b),rd(b,mult(rd(rd(unit,b),mult(b,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)],[inference(rw,[status(thm)],[eq_144,eq_75]),eq_121]),eq_80]),eq_124]),eq_47]),eq_129]),eq_72]),eq_122]) ).
cnf(eq_146,negated_conjecture,
mult(mult(a,mult(b,mult(b,c))),b) != mult(mult(a,rd(rd(b,rd(rd(unit,b),mult(b,c))),b)),b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_145,eq_109]),eq_30]) ).
cnf(eq_147,negated_conjecture,
mult(mult(a,mult(b,mult(b,c))),b) != mult(mult(a,mult(b,mult(b,c))),b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_146,eq_143]),eq_3]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP697-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n014.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 04:16:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.53/9.78 % SZS status Unsatisfiable
% 9.53/9.78 % SZS output start CNFRefutation for /tmp/MaedMax_10892
% See solution above
% 9.53/9.78
%------------------------------------------------------------------------------