TSTP Solution File: GRP417-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP417-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n003.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 11.07s 11.28s
% Output : CNFRefutation 11.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 2
% Syntax : Number of clauses : 96 ( 96 unt; 0 nHn; 3 RR)
% Number of literals : 96 ( 95 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 16 ( 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 : 214 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,inverse(A)))),inverse(multiply(inverse(B),B)))))),
file('/tmp/MaedMax_18171') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_18171') ).
cnf(eq_2,plain,
inverse(multiply(x100,inverse(multiply(inverse(multiply(inverse(multiply(x101,x100)),multiply(x101,A))),inverse(multiply(inverse(x100),x100)))))) = multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,inverse(A)))),inverse(multiply(inverse(B),B))))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A))))) = inverse(multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,C))),inverse(multiply(inverse(x3),x3)))))),
eq_2 ).
cnf(eq_4,plain,
multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(inverse(x102))))),inverse(multiply(inverse(A),A))))) = x102,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_5,plain,
inverse(inverse(multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,C))),inverse(multiply(inverse(x3),x3))))))) = C,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_6,plain,
A = multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,inverse(inverse(A))))),inverse(multiply(inverse(B),B))))),
eq_4 ).
cnf(eq_7,plain,
A = inverse(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,A))),inverse(multiply(inverse(B),B))))))),
eq_5 ).
cnf(eq_8,plain,
inverse(multiply(x100,inverse(multiply(inverse(multiply(inverse(multiply(B,x100)),A)),inverse(multiply(inverse(x100),x100)))))) = multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,inverse(inverse(A))))),inverse(multiply(inverse(B),B))),
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_9,plain,
inverse(inverse(multiply(x100,inverse(multiply(inverse(multiply(inverse(multiply(B,x100)),A)),inverse(multiply(inverse(x100),x100))))))) = inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,inverse(inverse(A))))),inverse(multiply(inverse(B),B)))),
inference(cp,[status(thm)],[eq_6,eq_7]) ).
cnf(eq_10,plain,
multiply(x100,inverse(multiply(inverse(multiply(inverse(multiply(x101,x100)),multiply(x101,A))),inverse(multiply(inverse(x100),x100))))) = inverse(multiply(x103,inverse(multiply(inverse(multiply(inverse(multiply(x104,x103)),multiply(x104,inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,A))),inverse(multiply(inverse(B),B))))))))),inverse(multiply(inverse(x103),x103)))))),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_11,plain,
multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A))))) = multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,C))),inverse(multiply(inverse(x3),x3))))),
inference(rw,[status(thm)],[eq_10,eq_0]) ).
cnf(eq_12,plain,
multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(B),B))) = inverse(multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(B,x3)),C)),inverse(multiply(inverse(x3),x3)))))),
eq_8 ).
cnf(eq_13,plain,
inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(B),B)))) = inverse(inverse(multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(B,x3)),C)),inverse(multiply(inverse(x3),x3))))))),
eq_9 ).
cnf(eq_14,plain,
multiply(B,inverse(inverse(multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(B,x3)),C)),inverse(multiply(inverse(x3),x3)))))))) = C,
inference(cp,[status(thm)],[eq_13,eq_6]) ).
cnf(eq_15,plain,
A = multiply(inverse(multiply(inverse(multiply(x103,C)),multiply(x103,inverse(inverse(multiply(C,inverse(A))))))),inverse(multiply(inverse(C),C))),
inference(cp,[status(thm)],[eq_0,eq_12]) ).
cnf(eq_16,plain,
inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))) = inverse(multiply(inverse(multiply(inverse(multiply(x103,x4)),multiply(x103,inverse(inverse(multiply(x4,C)))))),inverse(multiply(inverse(x4),x4)))),
inference(cp,[status(thm)],[eq_3,eq_13]) ).
cnf(eq_17,plain,
A = inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,A)))))),inverse(multiply(inverse(C),C)))),
inference(rw,[status(thm)],[eq_16,eq_0]) ).
cnf(eq_18,plain,
A = multiply(B,inverse(inverse(multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(B,C)),A)),inverse(multiply(inverse(C),C)))))))),
eq_14 ).
cnf(eq_19,plain,
A = multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,inverse(A))))))),inverse(multiply(inverse(C),C))),
eq_15 ).
cnf(eq_20,plain,
multiply(x100,inverse(inverse(multiply(x101,inverse(multiply(inverse(A),inverse(multiply(inverse(x101),x101)))))))) = inverse(inverse(multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(x100,x101)),C)),A)),inverse(multiply(inverse(C),C))))))),
inference(cp,[status(thm)],[eq_18,eq_18]) ).
cnf(eq_21,plain,
inverse(multiply(x100,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,inverse(A))))))),x100)),A)),inverse(multiply(inverse(x100),x100)))))) = multiply(inverse(C),C),
inference(cp,[status(thm)],[eq_19,eq_0]) ).
cnf(eq_22,plain,
inverse(multiply(inverse(multiply(inverse(multiply(x100,A)),multiply(x100,inverse(inverse(multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,C))),inverse(multiply(inverse(x3),x3)))))))))),inverse(multiply(inverse(A),A)))) = inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A)))),
inference(cp,[status(thm)],[eq_11,eq_17]) ).
cnf(eq_23,plain,
multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(C),inverse(multiply(inverse(B),B)))))))) = inverse(inverse(multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),x3)),C)),inverse(multiply(inverse(x3),x3))))))),
eq_20 ).
cnf(eq_24,plain,
multiply(inverse(A),A) = inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,A)),multiply(C,inverse(inverse(multiply(A,inverse(x3))))))),B)),x3)),inverse(multiply(inverse(B),B)))))),
eq_21 ).
cnf(eq_25,plain,
inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(multiply(inverse(B),B)))) = inverse(multiply(inverse(multiply(inverse(multiply(x3,B)),multiply(x3,C))),inverse(multiply(inverse(B),B)))),
inference(rw,[status(thm)],[eq_22,eq_7]) ).
cnf(eq_26,plain,
inverse(multiply(inverse(multiply(inverse(C),C)),inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))) = multiply(inverse(C),C),
inference(cp,[status(thm)],[eq_19,eq_24]) ).
cnf(eq_27,plain,
multiply(inverse(A),A) = inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))),
eq_26 ).
cnf(eq_28,plain,
multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(C),inverse(multiply(inverse(B),B))))))))) = C,
inference(cp,[status(thm)],[eq_23,eq_18]) ).
cnf(eq_29,plain,
A = multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,inverse(multiply(inverse(A),inverse(multiply(inverse(C),C))))))))),
eq_28 ).
cnf(eq_30,plain,
multiply(inverse(multiply(x100,inverse(multiply(inverse(A),A)))),multiply(x100,inverse(multiply(inverse(A),A)))) = multiply(inverse(B),B),
inference(cp,[status(thm)],[eq_27,eq_29]) ).
cnf(eq_31,plain,
multiply(inverse(multiply(x100,B)),multiply(x100,inverse(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(multiply(inverse(B),B))))))))) = multiply(inverse(multiply(x3,B)),multiply(x3,C)),
inference(cp,[status(thm)],[eq_25,eq_29]) ).
cnf(eq_32,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(C),C)))),
eq_30 ).
cnf(eq_33,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(x3,B)),multiply(x3,C)),
inference(rw,[status(thm)],[eq_31,eq_7]) ).
cnf(eq_34,plain,
multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,inverse(A))))))),inverse(multiply(inverse(C),C)))) = multiply(inverse(x102),x102),
inference(cp,[status(thm)],[eq_19,eq_32]) ).
cnf(eq_35,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
inference(rw,[status(thm)],[eq_34,eq_19]) ).
cnf(eq_36,plain,
multiply(inverse(multiply(x100,x101)),multiply(x100,inverse(inverse(multiply(x101,inverse(multiply(inverse(A),A))))))) = inverse(multiply(inverse(x101),x101)),
inference(cp,[status(thm)],[eq_35,eq_29]) ).
cnf(eq_37,plain,
inverse(multiply(inverse(x102),inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(inverse(x102)),inverse(x102))))))) = x102,
inference(cp,[status(thm)],[eq_35,eq_0]) ).
cnf(eq_38,plain,
inverse(inverse(multiply(x100,inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(x100),x100))))))) = multiply(x101,inverse(inverse(multiply(x102,inverse(multiply(inverse(multiply(inverse(multiply(x101,x102)),x100)),inverse(multiply(inverse(x102),x102)))))))),
inference(cp,[status(thm)],[eq_35,eq_23]) ).
cnf(eq_39,plain,
multiply(inverse(multiply(inverse(B),x101)),multiply(inverse(A),A)) = multiply(inverse(multiply(x103,x101)),multiply(x103,B)),
inference(cp,[status(thm)],[eq_35,eq_33]) ).
cnf(eq_40,plain,
A = inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(inverse(A)),inverse(A))))))),
eq_37 ).
cnf(eq_41,plain,
A = inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(A),A))))))),
inference(rw,[status(thm)],[eq_38,eq_18]) ).
cnf(eq_42,plain,
multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(C),C))))))) = inverse(multiply(inverse(B),B)),
eq_36 ).
cnf(eq_43,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(inverse(C),B)),multiply(inverse(x3),x3)),
eq_39 ).
cnf(eq_44,plain,
inverse(multiply(inverse(x100),inverse(multiply(inverse(multiply(inverse(x101),x101)),inverse(multiply(inverse(A),A)))))) = x100,
inference(cp,[status(thm)],[eq_35,eq_40]) ).
cnf(eq_45,plain,
inverse(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(x101),x101)),inverse(multiply(inverse(A),A))))))) = B,
inference(cp,[status(thm)],[eq_35,eq_41]) ).
cnf(eq_46,plain,
A = inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C))))))),
eq_45 ).
cnf(eq_47,plain,
A = inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C)))))),
eq_44 ).
cnf(eq_48,plain,
multiply(A,multiply(inverse(A),x102)) = multiply(inverse(multiply(inverse(x102),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C)))))),multiply(inverse(x103),x103)),
inference(cp,[status(thm)],[eq_47,eq_43]) ).
cnf(eq_49,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(multiply(inverse(x101),x101)),inverse(multiply(inverse(x102),x102)))),
inference(cp,[status(thm)],[eq_35,eq_47]) ).
cnf(eq_50,plain,
inverse(multiply(inverse(x100),inverse(multiply(inverse(multiply(inverse(x101),x101)),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C)))))))) = x100,
inference(cp,[status(thm)],[eq_47,eq_47]) ).
cnf(eq_51,plain,
inverse(inverse(multiply(x100,inverse(multiply(inverse(multiply(inverse(x101),x101)),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C))))))))) = x100,
inference(cp,[status(thm)],[eq_47,eq_46]) ).
cnf(eq_52,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C)))),
eq_49 ).
cnf(eq_53,plain,
multiply(inverse(inverse(x102)),inverse(multiply(inverse(A),A))) = x102,
inference(cp,[status(thm)],[eq_52,eq_6]) ).
cnf(eq_54,plain,
multiply(inverse(multiply(x100,C)),multiply(x100,inverse(inverse(multiply(C,inverse(multiply(inverse(A),A))))))) = multiply(inverse(B),B),
inference(cp,[status(thm)],[eq_52,eq_29]) ).
cnf(eq_55,plain,
multiply(inverse(multiply(x100,A)),multiply(x100,inverse(inverse(multiply(A,inverse(multiply(inverse(x102),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C))))))))))) = x102,
inference(cp,[status(thm)],[eq_52,eq_29]) ).
cnf(eq_56,plain,
inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(x101,A)),multiply(x101,x102))),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C))))))))) = x102,
inference(cp,[status(thm)],[eq_52,eq_7]) ).
cnf(eq_57,plain,
A = multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,A))))),
inference(rw,[status(thm)],[eq_55,eq_47]) ).
cnf(eq_58,plain,
multiply(A,multiply(inverse(A),B)) = multiply(B,multiply(inverse(C),C)),
inference(rw,[status(thm)],[eq_48,eq_47]) ).
cnf(eq_59,plain,
multiply(inverse(A),A) = inverse(multiply(inverse(B),B)),
inference(rw,[status(thm)],[eq_54,eq_42]) ).
cnf(eq_60,plain,
A = inverse(multiply(inverse(A),multiply(inverse(B),B))),
inference(rw,[status(thm)],[eq_50,eq_47]) ).
cnf(eq_61,plain,
A = inverse(inverse(multiply(A,multiply(inverse(B),B)))),
inference(rw,[status(thm)],[eq_51,eq_47]) ).
cnf(eq_62,plain,
A = multiply(inverse(inverse(A)),inverse(multiply(inverse(B),B))),
eq_53 ).
cnf(eq_63,plain,
A = inverse(inverse(multiply(B,multiply(inverse(multiply(C,B)),multiply(C,A))))),
inference(rw,[status(thm)],[eq_56,eq_47]) ).
cnf(eq_64,plain,
multiply(inverse(inverse(x100)),multiply(inverse(A),A)) = x100,
inference(cp,[status(thm)],[eq_59,eq_62]) ).
cnf(eq_65,plain,
A = multiply(inverse(inverse(A)),multiply(inverse(B),B)),
eq_64 ).
cnf(eq_66,plain,
multiply(A,multiply(inverse(A),inverse(inverse(x100)))) = x100,
inference(cp,[status(thm)],[eq_58,eq_65]) ).
cnf(eq_67,plain,
inverse(multiply(A,multiply(inverse(A),inverse(x100)))) = x100,
inference(cp,[status(thm)],[eq_58,eq_60]) ).
cnf(eq_68,plain,
inverse(inverse(multiply(A,multiply(inverse(A),B)))) = B,
inference(cp,[status(thm)],[eq_58,eq_61]) ).
cnf(eq_69,plain,
A = multiply(B,multiply(inverse(B),inverse(inverse(A)))),
eq_66 ).
cnf(eq_70,plain,
A = inverse(multiply(B,multiply(inverse(B),inverse(A)))),
eq_67 ).
cnf(eq_71,plain,
A = inverse(inverse(multiply(B,multiply(inverse(B),A)))),
eq_68 ).
cnf(eq_72,plain,
inverse(inverse(multiply(x100,A))) = multiply(inverse(inverse(x100)),inverse(inverse(A))),
inference(cp,[status(thm)],[eq_69,eq_71]) ).
cnf(eq_73,plain,
multiply(inverse(inverse(A)),inverse(inverse(B))) = inverse(inverse(multiply(A,B))),
eq_72 ).
cnf(eq_74,plain,
multiply(inverse(A),inverse(inverse(multiply(A,B)))) = B,
inference(cp,[status(thm)],[eq_73,eq_69]) ).
cnf(eq_75,plain,
A = multiply(inverse(inverse(B)),inverse(inverse(multiply(inverse(B),A)))),
inference(cp,[status(thm)],[eq_71,eq_73]) ).
cnf(eq_76,plain,
A = multiply(inverse(B),inverse(inverse(multiply(B,A)))),
eq_74 ).
cnf(eq_77,plain,
multiply(inverse(A),multiply(inverse(inverse(A)),inverse(inverse(multiply(multiply(inverse(B),B),x102))))) = x102,
inference(cp,[status(thm)],[eq_65,eq_57]) ).
cnf(eq_78,plain,
multiply(inverse(multiply(inverse(B),B)),A) = A,
inference(cp,[status(thm)],[eq_76,eq_57]) ).
cnf(eq_79,plain,
inverse(A) = multiply(inverse(inverse(inverse(multiply(C,A)))),C),
inference(cp,[status(thm)],[eq_57,eq_60]) ).
cnf(eq_80,plain,
A = multiply(multiply(inverse(B),B),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_77,eq_73]),eq_76]) ).
cnf(eq_81,plain,
multiply(inverse(inverse(inverse(multiply(A,B)))),A) = inverse(B),
eq_79 ).
cnf(eq_82,plain,
inverse(multiply(multiply(inverse(B),B),inverse(x101))) = x101,
inference(cp,[status(thm)],[eq_78,eq_70]) ).
cnf(eq_83,plain,
multiply(inverse(A),B) = inverse(multiply(inverse(B),A)),
inference(cp,[status(thm)],[eq_71,eq_81]) ).
cnf(eq_84,plain,
A = inverse(multiply(multiply(inverse(B),B),inverse(A))),
eq_82 ).
cnf(eq_85,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_84,eq_80]) ).
cnf(eq_86,plain,
A = multiply(inverse(inverse(B)),multiply(inverse(B),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_75,eq_83]),eq_83]) ).
cnf(eq_87,plain,
multiply(inverse(inverse(inverse(multiply(B,multiply(inverse(multiply(C,B)),multiply(C,A)))))),multiply(A,x101)) = x101,
inference(cp,[status(thm)],[eq_63,eq_86]) ).
cnf(eq_88,plain,
inverse(multiply(A,x101)) = multiply(inverse(x101),inverse(A)),
inference(cp,[status(thm)],[eq_85,eq_83]) ).
cnf(eq_89,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(rw,[status(thm)],[eq_87,eq_63]) ).
cnf(eq_90,plain,
multiply(inverse(A),inverse(B)) = inverse(multiply(B,A)),
eq_88 ).
cnf(eq_91,plain,
A = multiply(multiply(inverse(B),inverse(C)),multiply(C,multiply(B,A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_90]),eq_90]),eq_90]),eq_85]),eq_85]) ).
cnf(eq_92,plain,
multiply(inverse(multiply(inverse(B),inverse(C))),A) = multiply(C,multiply(B,A)),
inference(cp,[status(thm)],[eq_91,eq_89]) ).
cnf(eq_93,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_92,eq_90]),eq_85]),eq_85]) ).
cnf(eq_94,negated_conjecture,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[eq_1,eq_93]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP417-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n003.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 04:09:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 11.07/11.28 % SZS status Unsatisfiable
% 11.07/11.28 % SZS output start CNFRefutation for /tmp/MaedMax_18171
% See solution above
% 11.07/11.28
%------------------------------------------------------------------------------