TSTP Solution File: GRP426-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP426-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n029.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 07:02:43 EDT 2022
% Result : Unsatisfiable 3.42s 3.59s
% Output : CNFRefutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 2
% Syntax : Number of clauses : 93 ( 93 unt; 0 nHn; 3 RR)
% Number of literals : 93 ( 92 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 19 ( 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 : 200 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C))),
file('/tmp/MaedMax_2053') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_2053') ).
cnf(eq_2,plain,
multiply(inverse(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(inverse(A),C)))),multiply(B,inverse(C))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(multiply(inverse(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(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C))) = multiply(inverse(multiply(inverse(multiply(x3,inverse(B))),multiply(x3,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),
eq_2 ).
cnf(eq_5,plain,
A = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),x3)))),multiply(B,inverse(x3)))),inverse(multiply(inverse(A),multiply(inverse(x3),x3))))),C)),inverse(multiply(inverse(multiply(inverse(x3),x3)),multiply(inverse(x3),x3)))),
eq_3 ).
cnf(eq_6,plain,
multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(x101),inverse(multiply(inverse(C),C)))),C)))),multiply(A,inverse(C))) = x101,
inference(cp,[status(thm)],[eq_4,eq_0]) ).
cnf(eq_7,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(x3,inverse(B))),multiply(x3,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_8,plain,
multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C))) = multiply(inverse(multiply(x103,inverse(multiply(inverse(B),C)))),multiply(x103,inverse(C))),
inference(cp,[status(thm)],[eq_4,eq_4]) ).
cnf(eq_9,plain,
A = multiply(inverse(multiply(inverse(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_7 ).
cnf(eq_10,plain,
multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C))) = multiply(inverse(multiply(x3,inverse(multiply(inverse(B),C)))),multiply(x3,inverse(C))),
eq_8 ).
cnf(eq_11,plain,
A = multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(C),C)))),C)))),multiply(B,inverse(C))),
eq_6 ).
cnf(eq_12,plain,
multiply(inverse(multiply(inverse(multiply(x100,inverse(A))),multiply(x100,inverse(multiply(B,inverse(C)))))),inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(C))))) = multiply(B,inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(C),C)))),C))),
inference(cp,[status(thm)],[eq_11,eq_0]) ).
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(inverse(multiply(inverse(A),inverse(multiply(inverse(C),C)))),C)))),multiply(B,inverse(C)))))),multiply(x103,inverse(multiply(B,inverse(C))))),
inference(cp,[status(thm)],[eq_11,eq_10]) ).
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_11]) ).
cnf(eq_15,plain,
multiply(A,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))) = multiply(inverse(multiply(inverse(multiply(x3,inverse(B))),multiply(x3,inverse(multiply(A,inverse(C)))))),inverse(multiply(inverse(multiply(A,inverse(C))),multiply(A,inverse(C))))),
eq_12 ).
cnf(eq_16,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(x3,inverse(B))),multiply(x3,inverse(multiply(A,inverse(C)))))),inverse(multiply(inverse(multiply(A,inverse(C))),multiply(A,inverse(C)))))),multiply(A,inverse(C))) = B,
inference(cp,[status(thm)],[eq_15,eq_11]) ).
cnf(eq_17,plain,
multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(x101),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C)))),C))) = x101,
inference(cp,[status(thm)],[eq_15,eq_0]) ).
cnf(eq_18,plain,
multiply(inverse(multiply(x100,inverse(x101))),multiply(x100,inverse(A))) = multiply(inverse(multiply(x104,inverse(x101))),multiply(x104,inverse(multiply(inverse(multiply(inverse(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)))))),
inference(cp,[status(thm)],[eq_9,eq_14]) ).
cnf(eq_19,plain,
A = multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C))),
eq_17 ).
cnf(eq_20,plain,
A = multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(A))),multiply(B,inverse(multiply(C,inverse(x3)))))),inverse(multiply(inverse(multiply(C,inverse(x3))),multiply(C,inverse(x3)))))),multiply(C,inverse(x3))),
eq_16 ).
cnf(eq_21,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_18,eq_9]) ).
cnf(eq_22,plain,
multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C)))),C))) = multiply(x3,inverse(B)),
inference(cp,[status(thm)],[eq_21,eq_19]) ).
cnf(eq_23,plain,
multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(x102))) = multiply(inverse(multiply(x103,inverse(multiply(inverse(C),C)))),multiply(x103,inverse(x102))),
inference(cp,[status(thm)],[eq_0,eq_21]) ).
cnf(eq_24,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(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_21]) ).
cnf(eq_25,plain,
multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(x3))) = multiply(inverse(multiply(x4,inverse(multiply(inverse(C),C)))),multiply(x4,inverse(x3))),
eq_23 ).
cnf(eq_26,plain,
multiply(A,inverse(B)) = multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(x3)))),inverse(multiply(inverse(x3),x3)))),x3))),
eq_22 ).
cnf(eq_27,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(C),C)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(x3,inverse(multiply(inverse(x4),C)))),multiply(x3,inverse(C)))),inverse(B))),x4),
eq_24 ).
cnf(eq_28,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(x3)))),inverse(multiply(inverse(x3),x3)))),x3)))),multiply(A,inverse(multiply(x102,inverse(x103)))))),inverse(multiply(inverse(multiply(x102,inverse(x103))),multiply(x102,inverse(x103)))))),multiply(x102,inverse(x103))) = B,
inference(cp,[status(thm)],[eq_26,eq_20]) ).
cnf(eq_29,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(x104,inverse(multiply(inverse(C),C)))),multiply(x104,inverse(multiply(inverse(C),C)))),
inference(cp,[status(thm)],[eq_0,eq_25]) ).
cnf(eq_30,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(C),C)))),
eq_29 ).
cnf(eq_31,plain,
A = multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(A))),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C),
inference(rw,[status(thm)],[eq_28,eq_20]) ).
cnf(eq_32,plain,
multiply(inverse(multiply(A,inverse(multiply(inverse(x4),x4)))),multiply(A,inverse(multiply(inverse(x4),x4)))) = multiply(inverse(x4),x4),
inference(cp,[status(thm)],[eq_27,eq_31]) ).
cnf(eq_33,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(x101),x101)))),x101) = x101,
inference(cp,[status(thm)],[eq_30,eq_31]) ).
cnf(eq_34,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(x3,inverse(multiply(inverse(x4),C)))),multiply(x3,inverse(C)))),inverse(multiply(inverse(C),C)))),x4) = multiply(inverse(x102),x102),
inference(cp,[status(thm)],[eq_27,eq_30]) ).
cnf(eq_35,plain,
A = multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(A),A)))),A),
eq_33 ).
cnf(eq_36,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
inference(rw,[status(thm)],[eq_34,eq_0]) ).
cnf(eq_37,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,inverse(multiply(inverse(A),A)))),multiply(B,inverse(multiply(inverse(A),A)))),
eq_32 ).
cnf(eq_38,plain,
multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(x101)),inverse(x102))) = multiply(inverse(multiply(x103,inverse(x101))),multiply(x103,inverse(x102))),
inference(cp,[status(thm)],[eq_36,eq_21]) ).
cnf(eq_39,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),x3)))),multiply(B,inverse(x3)))),inverse(multiply(inverse(A),multiply(inverse(x3),x3))))),C)),inverse(multiply(inverse(multiply(inverse(x3),x3)),multiply(inverse(x3),x3))))),A)),inverse(multiply(inverse(x102),x102)))),x102) = x102,
inference(cp,[status(thm)],[eq_5,eq_35]) ).
cnf(eq_40,plain,
A = multiply(inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(A),A)))),A),
inference(rw,[status(thm)],[eq_39,eq_5]) ).
cnf(eq_41,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(x3,inverse(multiply(inverse(x4),C)))),multiply(x3,inverse(C)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(x100),x100)),inverse(multiply(inverse(C),C)))),multiply(inverse(multiply(inverse(x100),x100)),inverse(multiply(inverse(C),C))))))),x4) = multiply(inverse(multiply(inverse(x100),x100)),inverse(multiply(inverse(C),C))),
inference(cp,[status(thm)],[eq_27,eq_40]) ).
cnf(eq_42,plain,
multiply(inverse(multiply(inverse(multiply(inverse(x100),x100)),inverse(multiply(inverse(A),A)))),B) = B,
inference(cp,[status(thm)],[eq_36,eq_40]) ).
cnf(eq_43,plain,
A = multiply(inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C)))),A),
eq_42 ).
cnf(eq_44,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_37]),eq_0]) ).
cnf(eq_45,plain,
multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C))) = multiply(inverse(C),C),
inference(cp,[status(thm)],[eq_43,eq_37]) ).
cnf(eq_46,plain,
multiply(inverse(multiply(inverse(multiply(inverse(B),B)),inverse(C))),inverse(multiply(inverse(C),C))) = C,
inference(cp,[status(thm)],[eq_43,eq_0]) ).
cnf(eq_47,plain,
multiply(inverse(multiply(inverse(A),A)),C) = C,
inference(cp,[status(thm)],[eq_44,eq_40]) ).
cnf(eq_48,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(A),A))),
eq_45 ).
cnf(eq_49,plain,
A = multiply(inverse(multiply(inverse(B),B)),A),
eq_47 ).
cnf(eq_50,plain,
A = multiply(inverse(multiply(inverse(multiply(inverse(B),B)),inverse(A))),inverse(multiply(inverse(A),A))),
eq_46 ).
cnf(eq_51,plain,
A = multiply(inverse(inverse(A)),inverse(multiply(inverse(A),A))),
inference(rw,[status(thm)],[eq_50,eq_49]) ).
cnf(eq_52,plain,
inverse(multiply(inverse(A),A)) = multiply(inverse(A),A),
inference(rw,[status(thm)],[eq_48,eq_49]) ).
cnf(eq_53,plain,
inverse(multiply(inverse(A),A)) = multiply(inverse(B),B),
inference(rw,[status(thm)],[eq_44,eq_49]) ).
cnf(eq_54,plain,
multiply(inverse(inverse(A)),inverse(B)) = multiply(inverse(multiply(C,inverse(A))),multiply(C,inverse(B))),
inference(rw,[status(thm)],[eq_38,eq_49]) ).
cnf(eq_55,plain,
multiply(multiply(inverse(B),B),x101) = x101,
inference(cp,[status(thm)],[eq_53,eq_49]) ).
cnf(eq_56,plain,
multiply(inverse(inverse(A)),multiply(inverse(B),B)) = A,
inference(cp,[status(thm)],[eq_53,eq_51]) ).
cnf(eq_57,plain,
A = multiply(inverse(inverse(A)),multiply(inverse(B),B)),
eq_56 ).
cnf(eq_58,plain,
A = multiply(multiply(inverse(B),B),A),
eq_55 ).
cnf(eq_59,plain,
multiply(inverse(multiply(x100,multiply(inverse(A),A))),multiply(x100,inverse(x102))) = multiply(inverse(inverse(multiply(inverse(A),A))),inverse(x102)),
inference(cp,[status(thm)],[eq_52,eq_54]) ).
cnf(eq_60,plain,
multiply(inverse(multiply(x100,inverse(x101))),multiply(x100,multiply(inverse(A),A))) = multiply(inverse(inverse(x101)),inverse(multiply(inverse(A),A))),
inference(cp,[status(thm)],[eq_52,eq_54]) ).
cnf(eq_61,plain,
A = multiply(inverse(multiply(B,inverse(A))),multiply(B,multiply(inverse(C),C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_52]),eq_56]) ).
cnf(eq_62,plain,
A = multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(B),B))),B))),inverse(B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_52]),eq_54]) ).
cnf(eq_63,plain,
inverse(A) = multiply(inverse(multiply(B,multiply(inverse(C),C))),multiply(B,inverse(A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_59,eq_52]),eq_52]),eq_58]) ).
cnf(eq_64,plain,
multiply(inverse(inverse(multiply(inverse(inverse(A)),inverse(A)))),inverse(inverse(A))) = multiply(inverse(inverse(A)),multiply(inverse(C),C)),
inference(cp,[status(thm)],[eq_63,eq_62]) ).
cnf(eq_65,plain,
multiply(inverse(inverse(multiply(inverse(A),B))),inverse(B)) = inverse(A),
inference(cp,[status(thm)],[eq_56,eq_62]) ).
cnf(eq_66,plain,
multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),A)),x101))),inverse(x101)) = multiply(inverse(x101),x101),
inference(cp,[status(thm)],[eq_36,eq_62]) ).
cnf(eq_67,plain,
multiply(inverse(A),A) = multiply(inverse(inverse(A)),inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_66,eq_52]),eq_58]) ).
cnf(eq_68,plain,
inverse(inverse(A)) = multiply(inverse(inverse(A)),multiply(inverse(B),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_64,eq_52]),eq_52]),eq_58]) ).
cnf(eq_69,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_68,eq_56]) ).
cnf(eq_70,plain,
multiply(inverse(inverse(A)),multiply(inverse(inverse(multiply(inverse(A),B))),multiply(inverse(x102),x102))) = B,
inference(cp,[status(thm)],[eq_65,eq_61]) ).
cnf(eq_71,plain,
multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),B))),multiply(inverse(x101),x101))),inverse(A)) = inverse(B),
inference(cp,[status(thm)],[eq_65,eq_63]) ).
cnf(eq_72,plain,
A = multiply(inverse(inverse(B)),multiply(inverse(B),A)),
inference(rw,[status(thm)],[eq_70,eq_56]) ).
cnf(eq_73,plain,
inverse(A) = multiply(inverse(multiply(inverse(B),A)),inverse(B)),
inference(rw,[status(thm)],[eq_71,eq_56]) ).
cnf(eq_74,plain,
multiply(A,inverse(A)) = multiply(inverse(A),A),
inference(cp,[status(thm)],[eq_69,eq_67]) ).
cnf(eq_75,plain,
multiply(A,multiply(inverse(A),x101)) = x101,
inference(cp,[status(thm)],[eq_69,eq_72]) ).
cnf(eq_76,plain,
multiply(inverse(multiply(A,x101)),inverse(inverse(A))) = inverse(x101),
inference(cp,[status(thm)],[eq_69,eq_73]) ).
cnf(eq_77,plain,
A = multiply(B,multiply(inverse(B),A)),
eq_75 ).
cnf(eq_78,plain,
A = multiply(A,multiply(B,inverse(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_69]),eq_74]) ).
cnf(eq_79,plain,
multiply(inverse(A),multiply(A,x101)) = x101,
inference(cp,[status(thm)],[eq_69,eq_77]) ).
cnf(eq_80,plain,
multiply(inverse(A),inverse(x100)) = inverse(multiply(inverse(inverse(x100)),A)),
inference(cp,[status(thm)],[eq_77,eq_73]) ).
cnf(eq_81,plain,
A = multiply(inverse(B),multiply(B,A)),
eq_79 ).
cnf(eq_82,plain,
inverse(A) = multiply(inverse(multiply(B,A)),B),
inference(rw,[status(thm)],[eq_76,eq_69]) ).
cnf(eq_83,plain,
inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)),
inference(rw,[status(thm)],[eq_80,eq_69]) ).
cnf(eq_84,plain,
multiply(inverse(A),B) = inverse(multiply(inverse(B),A)),
inference(cp,[status(thm)],[eq_77,eq_82]) ).
cnf(eq_85,plain,
inverse(multiply(inverse(A),B)) = multiply(inverse(B),A),
eq_84 ).
cnf(eq_86,plain,
multiply(multiply(inverse(B),A),multiply(multiply(inverse(A),B),x101)) = x101,
inference(cp,[status(thm)],[eq_85,eq_81]) ).
cnf(eq_87,plain,
A = multiply(multiply(inverse(B),C),multiply(multiply(inverse(C),B),A)),
eq_86 ).
cnf(eq_88,plain,
A = multiply(multiply(B,inverse(C)),multiply(C,multiply(inverse(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_0,eq_83]),eq_74]),eq_69]),eq_83]),eq_83]),eq_69]),eq_83]),eq_69]),eq_83]),eq_83]),eq_83]),eq_69]),eq_69]),eq_83]),eq_69]),eq_78]) ).
cnf(eq_89,plain,
multiply(multiply(inverse(inverse(C)),x101),A) = multiply(C,multiply(inverse(inverse(x101)),A)),
inference(cp,[status(thm)],[eq_88,eq_87]) ).
cnf(eq_90,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_89,eq_69]),eq_69]) ).
cnf(eq_91,negated_conjecture,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[eq_1,eq_90]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP426-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n029.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 26 04:31:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.42/3.59 % SZS status Unsatisfiable
% 3.42/3.59 % SZS output start CNFRefutation for /tmp/MaedMax_2053
% See solution above
% 3.42/3.59
%------------------------------------------------------------------------------