TSTP Solution File: GRP419-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP419-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n004.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 86.40s 86.63s
% Output : CNFRefutation 86.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 2
% Syntax : Number of clauses : 95 ( 95 unt; 0 nHn; 10 RR)
% Number of literals : 95 ( 94 equ; 9 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 18 ( 4 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 216 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(B,C))),
file('/tmp/MaedMax_19451') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/tmp/MaedMax_19451') ).
cnf(eq_2,plain,
inverse(multiply(inverse(multiply(x100,inverse(multiply(A,inverse(multiply(x102,inverse(multiply(inverse(x102),x102)))))))),multiply(x100,x102))) = multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(B,C)),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C))) = multiply(inverse(multiply(x3,inverse(multiply(inverse(B),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)),
eq_2 ).
cnf(eq_4,plain,
A = multiply(inverse(multiply(x103,inverse(multiply(inverse(inverse(A)),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_5,plain,
multiply(inverse(multiply(x3,inverse(multiply(inverse(B),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)) = multiply(inverse(multiply(x103,inverse(multiply(inverse(B),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
inference(cp,[status(thm)],[eq_3,eq_3]) ).
cnf(eq_6,plain,
inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C)))) = B,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_7,plain,
multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C)) = multiply(inverse(multiply(x3,inverse(multiply(inverse(B),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)),
eq_5 ).
cnf(eq_8,plain,
A = multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(B,C)),
eq_4 ).
cnf(eq_9,plain,
A = inverse(inverse(multiply(inverse(multiply(B,inverse(multiply(A,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(B,C)))),
eq_6 ).
cnf(eq_10,plain,
inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),inverse(multiply(inverse(x101),inverse(multiply(multiply(B,C),inverse(multiply(inverse(multiply(B,C)),multiply(B,C))))))))),A)) = x101,
inference(cp,[status(thm)],[eq_8,eq_0]) ).
cnf(eq_11,plain,
multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),inverse(multiply(inverse(inverse(x101)),inverse(multiply(multiply(B,C),inverse(multiply(inverse(multiply(B,C)),multiply(B,C))))))))),A) = x101,
inference(cp,[status(thm)],[eq_8,eq_8]) ).
cnf(eq_12,plain,
multiply(inverse(multiply(x100,inverse(multiply(A,inverse(multiply(x102,inverse(multiply(inverse(x102),x102)))))))),multiply(x100,x102)) = multiply(inverse(multiply(x103,inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(B,C))),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_13,plain,
multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C)) = multiply(inverse(multiply(x3,inverse(multiply(B,inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)),
inference(rw,[status(thm)],[eq_12,eq_0]) ).
cnf(eq_14,plain,
A = inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(C)),inverse(multiply(x3,inverse(multiply(inverse(x3),x3)))))))),inverse(multiply(inverse(A),inverse(multiply(multiply(B,x3),inverse(multiply(inverse(multiply(B,x3)),multiply(B,x3))))))))),C)),
eq_10 ).
cnf(eq_15,plain,
A = multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(C)),inverse(multiply(x3,inverse(multiply(inverse(x3),x3)))))))),inverse(multiply(inverse(inverse(A)),inverse(multiply(multiply(B,x3),inverse(multiply(inverse(multiply(B,x3)),multiply(B,x3))))))))),C),
eq_11 ).
cnf(eq_16,plain,
inverse(multiply(inverse(multiply(x100,A)),multiply(x100,x102))) = multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(inverse(multiply(x102,inverse(multiply(inverse(x102),x102)))))),inverse(multiply(x3,inverse(multiply(inverse(x3),x3)))))))),inverse(multiply(inverse(A),inverse(multiply(multiply(B,x3),inverse(multiply(inverse(multiply(B,x3)),multiply(B,x3)))))))),
inference(cp,[status(thm)],[eq_14,eq_0]) ).
cnf(eq_17,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = multiply(inverse(multiply(x3,inverse(multiply(inverse(inverse(inverse(multiply(C,inverse(multiply(inverse(C),C)))))),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),inverse(multiply(inverse(B),inverse(multiply(multiply(x3,x4),inverse(multiply(inverse(multiply(x3,x4)),multiply(x3,x4)))))))),
eq_16 ).
cnf(eq_18,plain,
multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(x101))),multiply(A,C)))),multiply(inverse(multiply(x3,inverse(multiply(inverse(inverse(inverse(multiply(C,inverse(multiply(inverse(C),C)))))),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4))) = x101,
inference(cp,[status(thm)],[eq_17,eq_8]) ).
cnf(eq_19,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),multiply(inverse(multiply(x3,inverse(multiply(inverse(inverse(inverse(multiply(C,inverse(multiply(inverse(C),C)))))),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)))) = multiply(inverse(multiply(x103,inverse(multiply(inverse(inverse(B)),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
inference(cp,[status(thm)],[eq_17,eq_3]) ).
cnf(eq_20,plain,
multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),multiply(inverse(multiply(x3,inverse(multiply(inverse(inverse(inverse(multiply(C,inverse(multiply(inverse(C),C)))))),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4))) = multiply(inverse(multiply(x103,inverse(multiply(inverse(B),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
inference(cp,[status(thm)],[eq_17,eq_13]) ).
cnf(eq_21,plain,
multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),multiply(inverse(multiply(x3,inverse(multiply(inverse(inverse(inverse(multiply(C,inverse(multiply(inverse(C),C)))))),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4))) = inverse(multiply(inverse(multiply(x103,inverse(multiply(B,inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104))),
inference(cp,[status(thm)],[eq_17,eq_3]) ).
cnf(eq_22,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = inverse(multiply(inverse(multiply(x104,B)),multiply(x104,C))),
inference(cp,[status(thm)],[eq_17,eq_17]) ).
cnf(eq_23,plain,
A = inverse(multiply(inverse(inverse(multiply(inverse(multiply(B,A)),multiply(B,C)))),inverse(multiply(C,inverse(multiply(inverse(C),C)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_8]),eq_8]) ).
cnf(eq_24,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C))) = multiply(inverse(inverse(multiply(inverse(multiply(x3,B)),multiply(x3,x4)))),inverse(multiply(x4,inverse(multiply(inverse(x4),x4))))),
inference(rw,[status(thm)],[eq_21,eq_8]) ).
cnf(eq_25,plain,
A = multiply(inverse(inverse(multiply(inverse(multiply(B,inverse(A))),multiply(B,C)))),inverse(multiply(C,inverse(multiply(inverse(C),C))))),
inference(rw,[status(thm)],[eq_18,eq_8]) ).
cnf(eq_26,plain,
multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),inverse(multiply(C,inverse(multiply(inverse(C),C))))) = multiply(inverse(multiply(x3,inverse(multiply(inverse(B),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)),
inference(rw,[status(thm)],[eq_20,eq_8]) ).
cnf(eq_27,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = inverse(multiply(inverse(multiply(x3,B)),multiply(x3,C))),
eq_22 ).
cnf(eq_28,plain,
inverse(inverse(multiply(inverse(multiply(x100,inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C)))))),multiply(x100,x4)))) = inverse(inverse(multiply(inverse(multiply(x3,B)),multiply(x3,x4)))),
inference(cp,[status(thm)],[eq_24,eq_9]) ).
cnf(eq_29,plain,
multiply(inverse(multiply(x100,inverse(multiply(inverse(inverse(x101)),inverse(multiply(multiply(x3,C),inverse(multiply(inverse(multiply(A,C)),multiply(A,C))))))))),multiply(x100,multiply(x3,C))) = x101,
inference(cp,[status(thm)],[eq_27,eq_8]) ).
cnf(eq_30,plain,
multiply(inverse(inverse(multiply(inverse(multiply(x100,inverse(x101))),multiply(x100,multiply(x3,C))))),inverse(multiply(multiply(x3,C),inverse(multiply(inverse(multiply(A,C)),multiply(A,C)))))) = x101,
inference(cp,[status(thm)],[eq_27,eq_25]) ).
cnf(eq_31,plain,
multiply(inverse(multiply(x100,inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C)))))),multiply(x100,x4)) = multiply(inverse(multiply(x103,inverse(multiply(inverse(inverse(multiply(inverse(multiply(x3,B)),multiply(x3,x4)))),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
inference(cp,[status(thm)],[eq_24,eq_13]) ).
cnf(eq_32,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(x3,B)),multiply(x3,C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_9]),eq_8]) ).
cnf(eq_33,plain,
A = multiply(inverse(inverse(multiply(inverse(multiply(B,inverse(A))),multiply(B,multiply(C,x3))))),inverse(multiply(multiply(C,x3),inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,x3)))))),
eq_30 ).
cnf(eq_34,plain,
inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))) = inverse(inverse(multiply(inverse(multiply(x3,B)),multiply(x3,C)))),
inference(rw,[status(thm)],[eq_28,eq_9]) ).
cnf(eq_35,plain,
A = multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),inverse(multiply(multiply(C,x3),inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,x3))))))))),multiply(B,multiply(C,x3))),
eq_29 ).
cnf(eq_36,plain,
multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),inverse(multiply(C,inverse(multiply(inverse(C),C)))))),multiply(inverse(multiply(x3,inverse(multiply(inverse(B),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),x102)) = multiply(inverse(multiply(x103,multiply(x3,x4))),multiply(x103,x102)),
inference(cp,[status(thm)],[eq_26,eq_32]) ).
cnf(eq_37,plain,
multiply(A,multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),x3)) = multiply(inverse(multiply(x4,multiply(B,C))),multiply(x4,x3)),
inference(rw,[status(thm)],[eq_36,eq_23]) ).
cnf(eq_38,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(x104,multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(C)),inverse(multiply(x3,inverse(multiply(inverse(x3),x3)))))))),multiply(B,x3)))),multiply(x104,C)),
inference(cp,[status(thm)],[eq_15,eq_37]) ).
cnf(eq_39,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,C)),multiply(B,C)),
inference(rw,[status(thm)],[eq_38,eq_8]) ).
cnf(eq_40,plain,
inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(C,inverse(multiply(inverse(C),C)))))) = C,
inference(cp,[status(thm)],[eq_39,eq_23]) ).
cnf(eq_41,plain,
multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(x101),inverse(multiply(inverse(inverse(x101)),inverse(x101)))))) = x101,
inference(cp,[status(thm)],[eq_39,eq_25]) ).
cnf(eq_42,plain,
inverse(inverse(multiply(inverse(A),A))) = inverse(inverse(multiply(inverse(multiply(x103,C)),multiply(x103,C)))),
inference(cp,[status(thm)],[eq_39,eq_34]) ).
cnf(eq_43,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(multiply(x103,C)),multiply(x103,C))),
inference(cp,[status(thm)],[eq_39,eq_27]) ).
cnf(eq_44,plain,
multiply(inverse(A),A) = multiply(inverse(x102),x102),
inference(cp,[status(thm)],[eq_39,eq_39]) ).
cnf(eq_45,plain,
multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,C))),multiply(inverse(A),A)) = multiply(inverse(x102),x102),
inference(cp,[status(thm)],[eq_39,eq_39]) ).
cnf(eq_46,plain,
A = multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(A),inverse(multiply(inverse(inverse(A)),inverse(A)))))),
eq_41 ).
cnf(eq_47,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,C))),multiply(inverse(x3),x3)),
eq_45 ).
cnf(eq_48,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
eq_44 ).
cnf(eq_49,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(multiply(B,C)),multiply(B,C))),
eq_43 ).
cnf(eq_50,plain,
A = inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(A,inverse(multiply(inverse(A),A)))))),
eq_40 ).
cnf(eq_51,plain,
inverse(inverse(multiply(inverse(A),A))) = inverse(inverse(multiply(inverse(multiply(B,C)),multiply(B,C)))),
eq_42 ).
cnf(eq_52,negated_conjecture,
multiply(multiply(inverse(multiply(B,C)),multiply(B,C)),a2) != a2,
inference(cp,[status(thm)],[eq_39,eq_1]) ).
cnf(eq_53,negated_conjecture,
multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),a2) != a2,
eq_52 ).
cnf(eq_54,plain,
inverse(multiply(inverse(inverse(multiply(inverse(x100),x100))),inverse(multiply(B,inverse(multiply(inverse(A),A)))))) = B,
inference(cp,[status(thm)],[eq_48,eq_50]) ).
cnf(eq_55,plain,
inverse(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),inverse(multiply(multiply(C,x3),inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,x3))))))))),multiply(B,multiply(C,x3)))),A))) = inverse(inverse(multiply(inverse(x102),x102))),
inference(cp,[status(thm)],[eq_35,eq_51]) ).
cnf(eq_56,plain,
inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),inverse(multiply(multiply(C,x3),inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,x3))))))))),multiply(B,multiply(C,x3)))),A)) = inverse(multiply(inverse(x102),x102)),
inference(cp,[status(thm)],[eq_35,eq_49]) ).
cnf(eq_57,plain,
inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(A),A))) = inverse(multiply(inverse(x102),x102)),
inference(cp,[status(thm)],[eq_48,eq_49]) ).
cnf(eq_58,plain,
multiply(inverse(multiply(inverse(B),x101)),multiply(inverse(A),A)) = multiply(inverse(multiply(x103,x101)),multiply(x103,B)),
inference(cp,[status(thm)],[eq_48,eq_32]) ).
cnf(eq_59,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(B),B)),
inference(rw,[status(thm)],[eq_56,eq_35]) ).
cnf(eq_60,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(inverse(C),B)),multiply(inverse(x3),x3)),
eq_58 ).
cnf(eq_61,plain,
A = inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(A,inverse(multiply(inverse(C),C)))))),
eq_54 ).
cnf(eq_62,plain,
inverse(inverse(multiply(inverse(A),A))) = inverse(inverse(multiply(inverse(B),B))),
inference(rw,[status(thm)],[eq_55,eq_35]) ).
cnf(eq_63,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(C),C))),
eq_57 ).
cnf(eq_64,negated_conjecture,
multiply(multiply(inverse(A),A),a2) != a2,
inference(cp,[status(thm)],[eq_47,eq_53]) ).
cnf(eq_65,plain,
inverse(inverse(inverse(multiply(inverse(C),C)))) = inverse(inverse(multiply(inverse(x101),x101))),
inference(cp,[status(thm)],[eq_61,eq_62]) ).
cnf(eq_66,plain,
inverse(inverse(multiply(inverse(C),C))) = inverse(multiply(inverse(multiply(inverse(x101),x101)),multiply(inverse(x102),x102))),
inference(cp,[status(thm)],[eq_61,eq_63]) ).
cnf(eq_67,plain,
inverse(inverse(multiply(inverse(C),C))) = inverse(multiply(inverse(x101),x101)),
inference(cp,[status(thm)],[eq_61,eq_59]) ).
cnf(eq_68,plain,
inverse(inverse(multiply(inverse(A),A))) = inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(C),C))),
eq_66 ).
cnf(eq_69,plain,
inverse(inverse(multiply(inverse(A),A))) = inverse(multiply(inverse(B),B)),
eq_67 ).
cnf(eq_70,plain,
inverse(inverse(inverse(multiply(inverse(A),A)))) = inverse(inverse(multiply(inverse(B),B))),
eq_65 ).
cnf(eq_71,plain,
inverse(multiply(inverse(B),B)) = inverse(inverse(inverse(multiply(inverse(x101),x101)))),
inference(cp,[status(thm)],[eq_69,eq_70]) ).
cnf(eq_72,plain,
multiply(inverse(multiply(x100,inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(x102,inverse(multiply(inverse(x102),x102)))))))),multiply(x100,x102)) = multiply(inverse(inverse(multiply(inverse(multiply(x103,inverse(multiply(inverse(B),B)))),multiply(x103,x104)))),inverse(multiply(x104,inverse(multiply(inverse(x104),x104))))),
inference(cp,[status(thm)],[eq_70,eq_26]) ).
cnf(eq_73,plain,
inverse(inverse(inverse(multiply(inverse(A),A)))) = inverse(multiply(inverse(B),B)),
eq_71 ).
cnf(eq_74,plain,
inverse(multiply(inverse(A),A)) = multiply(inverse(B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_72,eq_8]),eq_25]) ).
cnf(eq_75,plain,
multiply(inverse(inverse(multiply(inverse(multiply(x100,inverse(multiply(inverse(B),B)))),multiply(x100,multiply(x102,x103))))),inverse(multiply(multiply(x102,x103),inverse(multiply(inverse(multiply(x104,x103)),multiply(x104,x103)))))) = inverse(inverse(multiply(inverse(A),A))),
inference(cp,[status(thm)],[eq_73,eq_33]) ).
cnf(eq_76,plain,
multiply(inverse(B),B) = inverse(multiply(inverse(multiply(inverse(x101),x101)),multiply(inverse(x102),x102))),
inference(cp,[status(thm)],[eq_74,eq_63]) ).
cnf(eq_77,plain,
multiply(multiply(inverse(B),B),multiply(inverse(A),A)) = inverse(multiply(inverse(x101),x101)),
inference(cp,[status(thm)],[eq_74,eq_74]) ).
cnf(eq_78,plain,
inverse(inverse(multiply(inverse(A),A))) = multiply(inverse(B),B),
inference(rw,[status(thm)],[eq_75,eq_33]) ).
cnf(eq_79,plain,
inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B))) = multiply(inverse(C),C),
eq_76 ).
cnf(eq_80,plain,
inverse(multiply(inverse(A),A)) = multiply(multiply(inverse(B),B),multiply(inverse(C),C)),
eq_77 ).
cnf(eq_81,negated_conjecture,
multiply(inverse(multiply(inverse(A),A)),a2) != a2,
inference(cp,[status(thm)],[eq_74,eq_64]) ).
cnf(eq_82,plain,
inverse(multiply(multiply(inverse(B),B),inverse(multiply(x101,inverse(multiply(inverse(x102),x102)))))) = x101,
inference(cp,[status(thm)],[eq_78,eq_61]) ).
cnf(eq_83,plain,
inverse(multiply(inverse(multiply(multiply(inverse(B),B),inverse(multiply(inverse(x101),inverse(multiply(multiply(inverse(C),C),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))))),inverse(multiply(inverse(A),A)))) = x101,
inference(cp,[status(thm)],[eq_80,eq_0]) ).
cnf(eq_84,plain,
A = inverse(multiply(multiply(inverse(B),B),inverse(multiply(A,inverse(multiply(inverse(C),C)))))),
eq_82 ).
cnf(eq_85,negated_conjecture,
multiply(inverse(inverse(multiply(inverse(A),A))),a2) != a2,
inference(cp,[status(thm)],[eq_68,eq_81]) ).
cnf(eq_86,negated_conjecture,
multiply(inverse(inverse(multiply(inverse(multiply(A,x3)),multiply(A,x3)))),a2) != a2,
inference(cp,[status(thm)],[eq_60,eq_85]) ).
cnf(eq_87,negated_conjecture,
multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,B)))),a2) != a2,
eq_86 ).
cnf(eq_88,plain,
inverse(multiply(multiply(inverse(x100),x100),inverse(multiply(x101,multiply(inverse(C),C))))) = x101,
inference(cp,[status(thm)],[eq_79,eq_84]) ).
cnf(eq_89,plain,
A = inverse(multiply(multiply(inverse(B),B),inverse(multiply(A,multiply(inverse(C),C))))),
eq_88 ).
cnf(eq_90,plain,
A = inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_83,eq_89]),eq_84]) ).
cnf(eq_91,plain,
multiply(inverse(inverse(multiply(inverse(x100),x100))),A) = A,
inference(cp,[status(thm)],[eq_90,eq_46]) ).
cnf(eq_92,plain,
A = multiply(inverse(inverse(multiply(inverse(B),B))),A),
eq_91 ).
cnf(eq_93,negated_conjecture,
a2 != a2,
inference(rw,[status(thm)],[eq_87,eq_92]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP419-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.14 % Command : run_maedmax %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Jul 26 04:15:06 EDT 2022
% 0.14/0.36 % CPUTime :
% 86.40/86.63 % SZS status Unsatisfiable
% 86.40/86.63 % SZS output start CNFRefutation for /tmp/MaedMax_19451
% See solution above
% 86.40/86.63
%------------------------------------------------------------------------------