TSTP Solution File: GRP411-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP411-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n005.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 07:02:42 EDT 2022
% Result : Unsatisfiable 10.49s 10.66s
% Output : CNFRefutation 10.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 2
% Syntax : Number of clauses : 107 ( 107 unt; 0 nHn; 3 RR)
% Number of literals : 107 ( 106 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 220 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = multiply(multiply(inverse(multiply(B,inverse(multiply(A,C)))),multiply(B,inverse(C))),inverse(multiply(inverse(C),C))),
file('/tmp/MaedMax_26828') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_26828') ).
cnf(eq_2,plain,
multiply(multiply(inverse(multiply(x100,inverse(A))),multiply(x100,inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))) = multiply(inverse(multiply(B,inverse(multiply(A,C)))),multiply(B,inverse(C))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
multiply(multiply(inverse(multiply(multiply(inverse(multiply(B,inverse(multiply(A,C)))),multiply(B,inverse(C))),inverse(multiply(x101,multiply(inverse(C),C))))),A),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))) = multiply(inverse(multiply(x3,inverse(multiply(B,C)))),multiply(x3,inverse(C))),
eq_2 ).
cnf(eq_5,plain,
A = multiply(multiply(inverse(multiply(multiply(inverse(multiply(B,inverse(multiply(C,x3)))),multiply(B,inverse(x3))),inverse(multiply(A,multiply(inverse(x3),x3))))),C),inverse(multiply(inverse(multiply(inverse(x3),x3)),multiply(inverse(x3),x3)))),
eq_3 ).
cnf(eq_6,plain,
A = multiply(inverse(multiply(x103,inverse(multiply(multiply(A,inverse(multiply(inverse(x102),x102))),x102)))),multiply(x103,inverse(x102))),
inference(cp,[status(thm)],[eq_0,eq_4]) ).
cnf(eq_7,plain,
multiply(inverse(multiply(x3,inverse(multiply(B,C)))),multiply(x3,inverse(C))) = multiply(inverse(multiply(x103,inverse(multiply(B,C)))),multiply(x103,inverse(C))),
inference(cp,[status(thm)],[eq_4,eq_4]) ).
cnf(eq_8,plain,
multiply(multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(C),C))) = B,
inference(cp,[status(thm)],[eq_4,eq_0]) ).
cnf(eq_9,plain,
multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(C))) = multiply(inverse(multiply(x3,inverse(multiply(B,C)))),multiply(x3,inverse(C))),
eq_7 ).
cnf(eq_10,plain,
A = multiply(inverse(multiply(B,inverse(multiply(multiply(A,inverse(multiply(inverse(C),C))),C)))),multiply(B,inverse(C))),
eq_6 ).
cnf(eq_11,plain,
A = multiply(multiply(multiply(inverse(multiply(B,inverse(A))),multiply(B,inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(C),C))),
eq_8 ).
cnf(eq_12,plain,
multiply(inverse(multiply(multiply(inverse(multiply(B,inverse(multiply(A,C)))),multiply(B,inverse(C))),inverse(multiply(multiply(x101,inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),multiply(inverse(C),C))))),A) = x101,
inference(cp,[status(thm)],[eq_0,eq_10]) ).
cnf(eq_13,plain,
multiply(inverse(multiply(x100,inverse(A))),multiply(x100,inverse(multiply(B,inverse(C))))) = multiply(inverse(multiply(x103,inverse(multiply(inverse(multiply(B,inverse(multiply(multiply(A,inverse(multiply(inverse(C),C))),C)))),multiply(B,inverse(C)))))),multiply(x103,inverse(multiply(B,inverse(C))))),
inference(cp,[status(thm)],[eq_10,eq_9]) ).
cnf(eq_14,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,inverse(x3))))) = multiply(inverse(multiply(x4,inverse(B))),multiply(x4,inverse(multiply(C,inverse(x3))))),
inference(rw,[status(thm)],[eq_13,eq_10]) ).
cnf(eq_15,plain,
A = multiply(inverse(multiply(multiply(inverse(multiply(B,inverse(multiply(C,x3)))),multiply(B,inverse(x3))),inverse(multiply(multiply(A,inverse(multiply(inverse(multiply(inverse(x3),x3)),multiply(inverse(x3),x3)))),multiply(inverse(x3),x3))))),C),
eq_12 ).
cnf(eq_16,plain,
multiply(inverse(multiply(multiply(inverse(multiply(B,inverse(multiply(A,inverse(x103))))),multiply(B,inverse(inverse(x103)))),inverse(x101))),A) = multiply(inverse(multiply(x104,inverse(x101))),multiply(x104,inverse(multiply(inverse(inverse(x103)),inverse(x103))))),
inference(cp,[status(thm)],[eq_0,eq_14]) ).
cnf(eq_17,plain,
multiply(inverse(multiply(x100,inverse(x101))),multiply(x100,inverse(A))) = multiply(inverse(multiply(x104,inverse(x101))),multiply(x104,inverse(multiply(multiply(inverse(multiply(multiply(inverse(multiply(B,inverse(multiply(C,x3)))),multiply(B,inverse(x3))),inverse(multiply(A,multiply(inverse(x3),x3))))),C),inverse(multiply(inverse(multiply(inverse(x3),x3)),multiply(inverse(x3),x3))))))),
inference(cp,[status(thm)],[eq_5,eq_14]) ).
cnf(eq_18,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))) = multiply(inverse(multiply(x3,inverse(B))),multiply(x3,inverse(C))),
inference(rw,[status(thm)],[eq_17,eq_5]) ).
cnf(eq_19,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(C)),inverse(C))))) = multiply(inverse(multiply(multiply(inverse(multiply(x3,inverse(multiply(x4,inverse(C))))),multiply(x3,inverse(inverse(C)))),inverse(B))),x4),
eq_16 ).
cnf(eq_20,plain,
multiply(inverse(multiply(multiply(inverse(multiply(B,inverse(multiply(A,C)))),multiply(B,inverse(C))),inverse(x101))),A) = multiply(inverse(multiply(x103,inverse(x101))),multiply(x103,inverse(multiply(inverse(C),C)))),
inference(cp,[status(thm)],[eq_0,eq_18]) ).
cnf(eq_21,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(x104,inverse(multiply(inverse(inverse(x102)),inverse(x102))))),multiply(x104,inverse(multiply(inverse(inverse(x102)),inverse(x102))))),
inference(cp,[status(thm)],[eq_0,eq_19]) ).
cnf(eq_22,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(C),C)))) = multiply(inverse(multiply(multiply(inverse(multiply(x3,inverse(multiply(x4,C)))),multiply(x3,inverse(C))),inverse(B))),x4),
eq_20 ).
cnf(eq_23,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(C)),inverse(C))))),multiply(B,inverse(multiply(inverse(inverse(C)),inverse(C))))),
eq_21 ).
cnf(eq_24,plain,
multiply(inverse(A),multiply(inverse(multiply(multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(inverse(x101)),inverse(x101))),x3)))),multiply(B,inverse(x3))),inverse(multiply(multiply(A,inverse(multiply(inverse(multiply(inverse(x3),x3)),multiply(inverse(x3),x3)))),multiply(inverse(x3),x3))))),inverse(multiply(inverse(inverse(x101)),inverse(x101))))) = multiply(inverse(x102),x102),
inference(cp,[status(thm)],[eq_15,eq_23]) ).
cnf(eq_25,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
inference(rw,[status(thm)],[eq_24,eq_15]) ).
cnf(eq_26,plain,
multiply(multiply(inverse(multiply(x100,inverse(multiply(x101,B)))),multiply(x100,inverse(B))),inverse(multiply(inverse(A),A))) = x101,
inference(cp,[status(thm)],[eq_25,eq_0]) ).
cnf(eq_27,plain,
multiply(inverse(multiply(x100,inverse(multiply(multiply(inverse(A),A),x102)))),multiply(x100,inverse(x102))) = inverse(inverse(multiply(inverse(x102),x102))),
inference(cp,[status(thm)],[eq_25,eq_10]) ).
cnf(eq_28,plain,
multiply(inverse(multiply(x100,inverse(multiply(multiply(x101,inverse(multiply(inverse(A),A))),B)))),multiply(x100,inverse(B))) = x101,
inference(cp,[status(thm)],[eq_25,eq_10]) ).
cnf(eq_29,plain,
multiply(inverse(multiply(inverse(inverse(x102)),inverse(multiply(multiply(x101,inverse(multiply(inverse(x102),x102))),x102)))),multiply(inverse(A),A)) = x101,
inference(cp,[status(thm)],[eq_25,eq_10]) ).
cnf(eq_30,plain,
A = multiply(inverse(multiply(B,inverse(multiply(multiply(A,inverse(multiply(inverse(C),C))),x3)))),multiply(B,inverse(x3))),
eq_28 ).
cnf(eq_31,plain,
multiply(inverse(multiply(A,inverse(multiply(multiply(inverse(B),B),C)))),multiply(A,inverse(C))) = inverse(inverse(multiply(inverse(C),C))),
eq_27 ).
cnf(eq_32,plain,
A = multiply(inverse(multiply(inverse(inverse(B)),inverse(multiply(multiply(A,inverse(multiply(inverse(B),B))),B)))),multiply(inverse(C),C)),
eq_29 ).
cnf(eq_33,plain,
A = multiply(multiply(inverse(multiply(B,inverse(multiply(A,C)))),multiply(B,inverse(C))),inverse(multiply(inverse(x3),x3))),
eq_26 ).
cnf(eq_34,plain,
multiply(multiply(inverse(multiply(x100,inverse(multiply(inverse(A),A)))),multiply(x100,inverse(B))),inverse(multiply(inverse(x103),x103))) = inverse(B),
inference(cp,[status(thm)],[eq_25,eq_33]) ).
cnf(eq_35,plain,
multiply(multiply(inverse(multiply(inverse(inverse(x102)),inverse(multiply(x101,x102)))),multiply(inverse(A),A)),inverse(multiply(inverse(x103),x103))) = x101,
inference(cp,[status(thm)],[eq_25,eq_33]) ).
cnf(eq_36,plain,
inverse(inverse(multiply(inverse(C),C))) = inverse(inverse(multiply(inverse(x102),x102))),
inference(cp,[status(thm)],[eq_31,eq_30]) ).
cnf(eq_37,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(x104,inverse(multiply(inverse(x3),x3)))),multiply(x104,inverse(multiply(inverse(C),C)))),
inference(cp,[status(thm)],[eq_33,eq_22]) ).
cnf(eq_38,plain,
multiply(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(C))),inverse(multiply(inverse(x3),x3))) = inverse(C),
eq_34 ).
cnf(eq_39,plain,
inverse(inverse(multiply(inverse(A),A))) = inverse(inverse(multiply(inverse(B),B))),
eq_36 ).
cnf(eq_40,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(x3),x3)))),
eq_37 ).
cnf(eq_41,plain,
multiply(multiply(multiply(inverse(multiply(x100,inverse(inverse(multiply(inverse(A),A))))),multiply(x100,inverse(inverse(multiply(inverse(x102),x102))))),inverse(multiply(inverse(inverse(multiply(inverse(x102),x102))),inverse(multiply(inverse(x102),x102))))),inverse(multiply(inverse(x102),x102))) = inverse(multiply(inverse(B),B)),
inference(cp,[status(thm)],[eq_39,eq_11]) ).
cnf(eq_42,plain,
multiply(multiply(inverse(A),A),inverse(multiply(inverse(x103),x103))) = inverse(multiply(inverse(x3),x3)),
inference(cp,[status(thm)],[eq_40,eq_33]) ).
cnf(eq_43,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(B),B)),
inference(rw,[status(thm)],[eq_41,eq_11]) ).
cnf(eq_44,plain,
multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),B))) = inverse(multiply(inverse(C),C)),
eq_42 ).
cnf(eq_45,plain,
multiply(inverse(multiply(inverse(C),C)),inverse(multiply(inverse(x102),x102))) = inverse(multiply(inverse(x102),x102)),
inference(cp,[status(thm)],[eq_44,eq_11]) ).
cnf(eq_46,plain,
multiply(inverse(multiply(x100,inverse(multiply(inverse(multiply(inverse(C),C)),x103)))),multiply(x100,inverse(x103))) = multiply(inverse(A),A),
inference(cp,[status(thm)],[eq_44,eq_30]) ).
cnf(eq_47,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(C),C)),x3)))),multiply(B,inverse(x3))),
eq_46 ).
cnf(eq_48,plain,
multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(B),B))) = inverse(multiply(inverse(B),B)),
eq_45 ).
cnf(eq_49,plain,
multiply(inverse(multiply(inverse(inverse(B)),inverse(multiply(inverse(multiply(inverse(B),B)),B)))),multiply(inverse(x102),x102)) = inverse(multiply(inverse(A),A)),
inference(cp,[status(thm)],[eq_48,eq_32]) ).
cnf(eq_50,plain,
multiply(inverse(multiply(inverse(inverse(A)),inverse(multiply(inverse(multiply(inverse(A),A)),A)))),multiply(inverse(B),B)) = inverse(multiply(inverse(C),C)),
eq_49 ).
cnf(eq_51,plain,
multiply(multiply(inverse(multiply(x100,inverse(multiply(inverse(A),A)))),multiply(x100,inverse(multiply(B,inverse(x3))))),inverse(multiply(inverse(x103),x103))) = inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(C),C)),x3)))),
inference(cp,[status(thm)],[eq_47,eq_33]) ).
cnf(eq_52,plain,
inverse(multiply(A,inverse(B))) = inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(C),C)),B)))),
inference(rw,[status(thm)],[eq_51,eq_38]) ).
cnf(eq_53,plain,
multiply(multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(x102),x102))))),inverse(multiply(inverse(inverse(multiply(inverse(x102),x102))),inverse(multiply(inverse(x102),x102))))),inverse(multiply(inverse(x102),x102))) = multiply(inverse(multiply(inverse(C),C)),B),
inference(cp,[status(thm)],[eq_52,eq_11]) ).
cnf(eq_54,plain,
A = multiply(inverse(multiply(inverse(B),B)),A),
inference(rw,[status(thm)],[eq_53,eq_11]) ).
cnf(eq_55,plain,
multiply(inverse(inverse(multiply(multiply(x101,inverse(multiply(inverse(x102),x102))),x103))),multiply(inverse(multiply(inverse(B),B)),inverse(x103))) = x101,
inference(cp,[status(thm)],[eq_54,eq_30]) ).
cnf(eq_56,plain,
A = multiply(inverse(inverse(multiply(multiply(A,inverse(multiply(inverse(B),B))),C))),inverse(C)),
inference(rw,[status(thm)],[eq_55,eq_54]) ).
cnf(eq_57,plain,
multiply(inverse(A),A) = inverse(multiply(inverse(B),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_54]),eq_54]) ).
cnf(eq_58,plain,
multiply(multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(x101),x101))),inverse(x102))),inverse(multiply(inverse(x103),x103))) = inverse(x102),
inference(cp,[status(thm)],[eq_57,eq_38]) ).
cnf(eq_59,plain,
multiply(multiply(inverse(A),A),x101) = x101,
inference(cp,[status(thm)],[eq_57,eq_54]) ).
cnf(eq_60,plain,
multiply(inverse(inverse(multiply(inverse(B),B))),x101) = x101,
inference(cp,[status(thm)],[eq_57,eq_54]) ).
cnf(eq_61,plain,
multiply(inverse(multiply(inverse(inverse(x100)),inverse(multiply(inverse(multiply(inverse(B),B)),x100)))),multiply(inverse(x102),x102)) = inverse(inverse(multiply(inverse(x100),x100))),
inference(cp,[status(thm)],[eq_57,eq_32]) ).
cnf(eq_62,plain,
A = multiply(inverse(inverse(multiply(inverse(B),B))),A),
eq_60 ).
cnf(eq_63,plain,
multiply(inverse(A),A) = inverse(inverse(multiply(inverse(B),B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_61,eq_54]),eq_54]) ).
cnf(eq_64,plain,
A = multiply(multiply(inverse(B),B),A),
eq_59 ).
cnf(eq_65,plain,
multiply(inverse(inverse(inverse(multiply(inverse(B),B)))),multiply(inverse(inverse(multiply(multiply(x101,inverse(multiply(inverse(x102),x102))),x103))),inverse(x103))) = x101,
inference(cp,[status(thm)],[eq_63,eq_30]) ).
cnf(eq_66,plain,
inverse(inverse(inverse(multiply(inverse(B),B)))) = inverse(multiply(inverse(x101),x101)),
inference(cp,[status(thm)],[eq_63,eq_43]) ).
cnf(eq_67,plain,
A = multiply(inverse(inverse(inverse(multiply(inverse(B),B)))),A),
inference(rw,[status(thm)],[eq_65,eq_56]) ).
cnf(eq_68,plain,
multiply(inverse(A),inverse(multiply(inverse(B),B))) = inverse(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_62]),eq_64]) ).
cnf(eq_69,plain,
inverse(multiply(inverse(A),A)) = inverse(inverse(inverse(multiply(inverse(B),B)))),
eq_66 ).
cnf(eq_70,plain,
multiply(inverse(inverse(multiply(inverse(A),x102))),inverse(x102)) = inverse(A),
inference(cp,[status(thm)],[eq_68,eq_56]) ).
cnf(eq_71,plain,
multiply(inverse(x100),multiply(inverse(A),A)) = inverse(x100),
inference(cp,[status(thm)],[eq_57,eq_68]) ).
cnf(eq_72,plain,
multiply(inverse(x100),inverse(multiply(inverse(multiply(inverse(A),A)),inverse(inverse(multiply(inverse(B),B)))))) = inverse(x100),
inference(cp,[status(thm)],[eq_69,eq_68]) ).
cnf(eq_73,plain,
multiply(inverse(x100),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),B))))) = inverse(x100),
inference(cp,[status(thm)],[eq_39,eq_68]) ).
cnf(eq_74,plain,
multiply(inverse(A),multiply(inverse(B),B)) = inverse(A),
eq_71 ).
cnf(eq_75,plain,
multiply(inverse(A),inverse(inverse(inverse(multiply(inverse(B),B))))) = inverse(A),
inference(rw,[status(thm)],[eq_72,eq_54]) ).
cnf(eq_76,plain,
multiply(inverse(A),inverse(inverse(multiply(inverse(B),B)))) = inverse(A),
inference(rw,[status(thm)],[eq_73,eq_62]) ).
cnf(eq_77,plain,
multiply(inverse(inverse(multiply(inverse(A),B))),inverse(B)) = inverse(A),
eq_70 ).
cnf(eq_78,plain,
inverse(inverse(multiply(inverse(x100),inverse(inverse(multiply(inverse(B),B)))))) = inverse(x100),
inference(cp,[status(thm)],[eq_75,eq_77]) ).
cnf(eq_79,plain,
inverse(A) = inverse(inverse(inverse(A))),
inference(rw,[status(thm)],[eq_78,eq_76]) ).
cnf(eq_80,plain,
A = inverse(multiply(inverse(inverse(B)),inverse(multiply(A,B)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_74]),eq_68]) ).
cnf(eq_81,plain,
multiply(A,inverse(multiply(inverse(x101),x101))) = inverse(multiply(inverse(inverse(B)),inverse(multiply(A,B)))),
inference(cp,[status(thm)],[eq_80,eq_68]) ).
cnf(eq_82,plain,
inverse(inverse(multiply(x101,inverse(multiply(inverse(B),B))))) = x101,
inference(cp,[status(thm)],[eq_67,eq_80]) ).
cnf(eq_83,plain,
inverse(multiply(inverse(A),inverse(multiply(x101,inverse(A))))) = x101,
inference(cp,[status(thm)],[eq_79,eq_80]) ).
cnf(eq_84,plain,
inverse(inverse(A)) = inverse(multiply(inverse(inverse(B)),inverse(multiply(A,B)))),
inference(cp,[status(thm)],[eq_80,eq_79]) ).
cnf(eq_85,plain,
A = inverse(inverse(multiply(A,inverse(multiply(inverse(B),B))))),
eq_82 ).
cnf(eq_86,plain,
A = inverse(multiply(inverse(B),inverse(multiply(A,inverse(B))))),
eq_83 ).
cnf(eq_87,plain,
multiply(A,multiply(inverse(x101),x101)) = inverse(inverse(multiply(A,inverse(multiply(inverse(B),B))))),
inference(cp,[status(thm)],[eq_85,eq_74]) ).
cnf(eq_88,plain,
inverse(multiply(inverse(inverse(multiply(A,inverse(multiply(inverse(B),B))))),inverse(multiply(x101,A)))) = x101,
inference(cp,[status(thm)],[eq_85,eq_86]) ).
cnf(eq_89,plain,
A = multiply(A,inverse(multiply(inverse(B),B))),
inference(rw,[status(thm)],[eq_81,eq_80]) ).
cnf(eq_90,plain,
A = inverse(multiply(B,inverse(multiply(A,B)))),
inference(rw,[status(thm)],[eq_88,eq_85]) ).
cnf(eq_91,plain,
A = multiply(A,multiply(inverse(B),B)),
inference(rw,[status(thm)],[eq_87,eq_85]) ).
cnf(eq_92,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_84,eq_80]) ).
cnf(eq_93,plain,
inverse(A) = multiply(B,inverse(multiply(A,B))),
inference(cp,[status(thm)],[eq_90,eq_92]) ).
cnf(eq_94,plain,
multiply(A,inverse(multiply(B,A))) = inverse(B),
eq_93 ).
cnf(eq_95,plain,
A = multiply(multiply(A,B),inverse(B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_89]),eq_92]) ).
cnf(eq_96,plain,
multiply(inverse(B),inverse(A)) = inverse(multiply(A,B)),
inference(cp,[status(thm)],[eq_95,eq_94]) ).
cnf(eq_97,plain,
multiply(multiply(x100,inverse(A)),A) = x100,
inference(cp,[status(thm)],[eq_92,eq_95]) ).
cnf(eq_98,plain,
multiply(inverse(A),inverse(B)) = inverse(multiply(B,A)),
eq_96 ).
cnf(eq_99,plain,
A = multiply(multiply(A,inverse(B)),B),
eq_97 ).
cnf(eq_100,plain,
multiply(multiply(x100,multiply(inverse(A),inverse(B))),multiply(B,A)) = x100,
inference(cp,[status(thm)],[eq_98,eq_99]) ).
cnf(eq_101,plain,
A = multiply(multiply(A,multiply(inverse(B),inverse(C))),multiply(C,B)),
eq_100 ).
cnf(eq_102,plain,
A = multiply(multiply(multiply(A,B),inverse(C)),multiply(C,inverse(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)],[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_4,eq_98]),eq_98]),eq_98]),eq_98]),eq_92]),eq_92]),eq_92]),eq_92]),eq_98]),eq_98]),eq_92]),eq_92]),eq_91]),eq_64]),eq_99]),eq_98]),eq_92]),eq_91]),eq_98]),eq_98]),eq_98]),eq_92]),eq_92]) ).
cnf(eq_103,plain,
multiply(A,multiply(B,x101)) = multiply(multiply(A,B),inverse(inverse(x101))),
inference(cp,[status(thm)],[eq_102,eq_101]) ).
cnf(eq_104,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
inference(rw,[status(thm)],[eq_103,eq_92]) ).
cnf(eq_105,negated_conjecture,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[eq_1,eq_104]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP411-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 04:18:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 10.49/10.66 % SZS status Unsatisfiable
% 10.49/10.66 % SZS output start CNFRefutation for /tmp/MaedMax_26828
% See solution above
% 10.49/10.67
%------------------------------------------------------------------------------