TSTP Solution File: GRP407-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP407-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n007.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 2.22s 2.44s
% Output : CNFRefutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 2
% Syntax : Number of clauses : 65 ( 65 unt; 0 nHn; 13 RR)
% Number of literals : 65 ( 64 equ; 9 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 18 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 136 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(B,C)),A)),multiply(inverse(C),multiply(inverse(C),C))))),
file('/tmp/MaedMax_18187') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/tmp/MaedMax_18187') ).
cnf(eq_2,plain,
multiply(x100,inverse(multiply(inverse(A),multiply(inverse(x101),multiply(inverse(x101),x101))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(x100,x101)),C)),A)),multiply(inverse(C),multiply(inverse(C),C)))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),multiply(inverse(C),C))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),x3)),B)),multiply(inverse(x3),multiply(inverse(x3),x3)))),
eq_2 ).
cnf(eq_4,plain,
multiply(inverse(multiply(A,C)),multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),multiply(inverse(C),C)))))) = B,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_5,plain,
multiply(inverse(multiply(inverse(multiply(A,C)),x3)),inverse(multiply(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),multiply(inverse(C),C))))),multiply(inverse(B),multiply(inverse(B),B))))) = multiply(inverse(x3),multiply(inverse(x3),x3)),
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_6,plain,
inverse(multiply(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),multiply(inverse(C),C))))),multiply(inverse(B),multiply(inverse(B),B)))) = multiply(inverse(multiply(A,C)),inverse(multiply(inverse(multiply(inverse(x3),multiply(inverse(x3),x3))),multiply(inverse(x3),multiply(inverse(x3),x3))))),
inference(cp,[status(thm)],[eq_3,eq_3]) ).
cnf(eq_7,plain,
A = multiply(inverse(multiply(B,C)),multiply(B,inverse(multiply(inverse(A),multiply(inverse(C),multiply(inverse(C),C)))))),
eq_4 ).
cnf(eq_8,plain,
multiply(inverse(A),multiply(inverse(A),A)) = multiply(inverse(multiply(inverse(multiply(B,C)),A)),inverse(multiply(multiply(B,inverse(multiply(inverse(x3),multiply(inverse(C),multiply(inverse(C),C))))),multiply(inverse(x3),multiply(inverse(x3),x3))))),
eq_5 ).
cnf(eq_9,plain,
multiply(inverse(multiply(A,B)),inverse(multiply(inverse(multiply(inverse(C),multiply(inverse(C),C))),multiply(inverse(C),multiply(inverse(C),C))))) = inverse(multiply(multiply(A,inverse(multiply(inverse(x3),multiply(inverse(B),multiply(inverse(B),B))))),multiply(inverse(x3),multiply(inverse(x3),x3)))),
eq_6 ).
cnf(eq_10,plain,
multiply(inverse(multiply(x100,x3)),multiply(x100,multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),multiply(inverse(C),C))))))) = multiply(inverse(multiply(inverse(multiply(A,C)),x3)),B),
inference(cp,[status(thm)],[eq_3,eq_7]) ).
cnf(eq_11,plain,
multiply(inverse(multiply(inverse(multiply(A,B)),x102)),multiply(inverse(multiply(A,B)),inverse(multiply(inverse(multiply(inverse(C),multiply(inverse(C),C))),multiply(inverse(C),multiply(inverse(C),C)))))) = multiply(inverse(x102),multiply(inverse(x102),x102)),
inference(cp,[status(thm)],[eq_9,eq_8]) ).
cnf(eq_12,plain,
multiply(inverse(multiply(inverse(multiply(B,C)),x102)),inverse(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),A)),multiply(inverse(multiply(inverse(multiply(B,C)),A)),multiply(inverse(multiply(B,C)),A)))))) = multiply(inverse(x102),multiply(inverse(x102),x102)),
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_13,plain,
multiply(inverse(A),multiply(inverse(A),A)) = multiply(inverse(multiply(inverse(multiply(B,C)),A)),inverse(multiply(x3,multiply(inverse(multiply(inverse(multiply(B,C)),x3)),multiply(inverse(multiply(inverse(multiply(B,C)),x3)),multiply(inverse(multiply(B,C)),x3)))))),
eq_12 ).
cnf(eq_14,plain,
multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(inverse(x3),multiply(inverse(x4),multiply(inverse(x4),x4))))))) = multiply(inverse(multiply(inverse(multiply(C,x4)),B)),x3),
eq_10 ).
cnf(eq_15,plain,
multiply(inverse(A),multiply(inverse(A),A)) = multiply(inverse(multiply(inverse(multiply(B,C)),A)),multiply(inverse(multiply(B,C)),inverse(multiply(inverse(multiply(inverse(x3),multiply(inverse(x3),x3))),multiply(inverse(x3),multiply(inverse(x3),x3)))))),
eq_11 ).
cnf(eq_16,plain,
multiply(C,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(inverse(multiply(inverse(x4),multiply(inverse(x4),x4))),multiply(inverse(x4),multiply(inverse(x4),x4))))))))) = B,
inference(cp,[status(thm)],[eq_14,eq_0]) ).
cnf(eq_17,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),A)),multiply(inverse(multiply(B,C)),inverse(x102)))),multiply(inverse(A),multiply(inverse(A),A))) = x102,
inference(cp,[status(thm)],[eq_13,eq_7]) ).
cnf(eq_18,plain,
multiply(inverse(multiply(x100,multiply(inverse(multiply(C,x4)),B))),multiply(x100,inverse(multiply(inverse(x102),multiply(inverse(multiply(inverse(multiply(C,x4)),B)),multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(C,x4)),B)),multiply(inverse(x4),multiply(inverse(x4),x4)))))))))))) = x102,
inference(cp,[status(thm)],[eq_14,eq_7]) ).
cnf(eq_19,plain,
multiply(inverse(multiply(x100,x101)),multiply(x100,A)) = multiply(inverse(multiply(inverse(multiply(B,C)),x101)),multiply(inverse(multiply(B,C)),A)),
inference(cp,[status(thm)],[eq_0,eq_14]) ).
cnf(eq_20,plain,
multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(C,x4)),inverse(multiply(inverse(multiply(inverse(x103),multiply(inverse(x103),x103))),multiply(inverse(x103),multiply(inverse(x103),x103)))))),multiply(inverse(x4),multiply(inverse(x4),x4))))))) = multiply(inverse(B),multiply(inverse(B),B)),
inference(cp,[status(thm)],[eq_14,eq_15]) ).
cnf(eq_21,plain,
A = multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),x3)),multiply(inverse(multiply(B,C)),inverse(A)))),multiply(inverse(x3),multiply(inverse(x3),x3))),
eq_17 ).
cnf(eq_22,plain,
multiply(inverse(A),multiply(inverse(A),A)) = multiply(inverse(multiply(B,A)),multiply(B,inverse(multiply(inverse(multiply(inverse(C),multiply(inverse(C),C))),multiply(inverse(C),multiply(inverse(C),C)))))),
inference(rw,[status(thm)],[eq_20,eq_0]) ).
cnf(eq_23,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(inverse(multiply(x3,x4)),B)),multiply(inverse(multiply(x3,x4)),C)),
eq_19 ).
cnf(eq_24,plain,
A = multiply(inverse(multiply(B,multiply(inverse(multiply(C,x3)),x4))),multiply(B,inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(C,x3)),x4)),multiply(inverse(multiply(x5,x4)),multiply(x5,x4))))))),
inference(rw,[status(thm)],[eq_18,eq_0]) ).
cnf(eq_25,plain,
A = multiply(B,inverse(multiply(inverse(multiply(C,A)),multiply(C,multiply(B,inverse(multiply(inverse(multiply(inverse(x3),multiply(inverse(x3),x3))),multiply(inverse(x3),multiply(inverse(x3),x3))))))))),
eq_16 ).
cnf(eq_26,plain,
multiply(x100,inverse(multiply(inverse(multiply(x101,x102)),multiply(x101,multiply(x100,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(x3),multiply(inverse(x4),multiply(inverse(x4),x4))))),x4)),multiply(inverse(inverse(multiply(inverse(x3),multiply(inverse(x4),multiply(inverse(x4),x4))))),inverse(multiply(inverse(x3),multiply(inverse(x4),multiply(inverse(x4),x4))))))),x3))))))) = x102,
inference(cp,[status(thm)],[eq_14,eq_25]) ).
cnf(eq_27,plain,
multiply(inverse(multiply(x100,x101)),multiply(x100,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(x3),multiply(inverse(x4),multiply(inverse(x4),x4))))),x4)),multiply(inverse(inverse(multiply(inverse(x3),multiply(inverse(x4),multiply(inverse(x4),x4))))),inverse(multiply(inverse(x3),multiply(inverse(x4),multiply(inverse(x4),x4))))))),x3)))) = multiply(inverse(x101),multiply(inverse(x101),x101)),
inference(cp,[status(thm)],[eq_14,eq_22]) ).
cnf(eq_28,plain,
inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(B),multiply(inverse(B),B)))) = multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(x3,x4)),C)),multiply(inverse(x4),multiply(inverse(x4),x4))))),
inference(cp,[status(thm)],[eq_23,eq_3]) ).
cnf(eq_29,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(x104,B)),multiply(x104,C)),
inference(cp,[status(thm)],[eq_23,eq_23]) ).
cnf(eq_30,plain,
A = multiply(B,inverse(multiply(inverse(multiply(C,A)),multiply(C,multiply(B,inverse(multiply(inverse(x3),x3))))))),
inference(rw,[status(thm)],[eq_26,eq_7]) ).
cnf(eq_31,plain,
A = inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,A))),multiply(inverse(C),multiply(inverse(C),C)))),
inference(rw,[status(thm)],[eq_28,eq_0]) ).
cnf(eq_32,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(x3,B)),multiply(x3,C)),
eq_29 ).
cnf(eq_33,plain,
multiply(inverse(A),multiply(inverse(A),A)) = multiply(inverse(multiply(B,A)),multiply(B,inverse(multiply(inverse(C),C)))),
inference(rw,[status(thm)],[eq_27,eq_7]) ).
cnf(eq_34,plain,
multiply(inverse(multiply(inverse(inverse(multiply(inverse(x3),x3))),inverse(multiply(inverse(x3),x3)))),A) = multiply(inverse(inverse(multiply(inverse(x3),x3))),A),
inference(cp,[status(thm)],[eq_30,eq_7]) ).
cnf(eq_35,plain,
multiply(inverse(multiply(inverse(A),multiply(inverse(A),A))),multiply(inverse(A),multiply(inverse(A),A))) = multiply(inverse(C),C),
inference(cp,[status(thm)],[eq_33,eq_21]) ).
cnf(eq_36,plain,
inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(A),A))),multiply(inverse(A),multiply(inverse(A),A)))) = inverse(multiply(inverse(C),C)),
inference(cp,[status(thm)],[eq_33,eq_31]) ).
cnf(eq_37,plain,
multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))),B) = multiply(inverse(inverse(multiply(inverse(A),A))),B),
eq_34 ).
cnf(eq_38,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(B),B))),multiply(inverse(B),multiply(inverse(B),B)))),
eq_36 ).
cnf(eq_39,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(inverse(B),multiply(inverse(B),B))),multiply(inverse(B),multiply(inverse(B),B))),
eq_35 ).
cnf(eq_40,plain,
multiply(inverse(A),A) = multiply(inverse(x101),x101),
inference(cp,[status(thm)],[eq_39,eq_39]) ).
cnf(eq_41,plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(x3),multiply(inverse(x4),multiply(inverse(x4),x4))))),x4)),multiply(inverse(inverse(multiply(inverse(x3),multiply(inverse(x4),multiply(inverse(x4),x4))))),inverse(multiply(inverse(x3),multiply(inverse(x4),multiply(inverse(x4),x4))))))),x3)) = inverse(multiply(inverse(x101),x101)),
inference(cp,[status(thm)],[eq_14,eq_38]) ).
cnf(eq_42,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
eq_40 ).
cnf(eq_43,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(B),B)),
inference(rw,[status(thm)],[eq_41,eq_7]) ).
cnf(eq_44,negated_conjecture,
multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(B),B))),multiply(inverse(B),multiply(inverse(B),B))),a2) != a2,
inference(cp,[status(thm)],[eq_39,eq_1]) ).
cnf(eq_45,negated_conjecture,
multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(A),A))),multiply(inverse(A),multiply(inverse(A),A))),a2) != a2,
eq_44 ).
cnf(eq_46,plain,
inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(x101),multiply(inverse(x101),x101)))) = x101,
inference(cp,[status(thm)],[eq_43,eq_31]) ).
cnf(eq_47,plain,
multiply(inverse(multiply(inverse(A),A)),x101) = multiply(inverse(inverse(multiply(inverse(x100),x100))),x101),
inference(cp,[status(thm)],[eq_43,eq_37]) ).
cnf(eq_48,plain,
A = inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(A),multiply(inverse(A),A)))),
eq_46 ).
cnf(eq_49,plain,
multiply(inverse(multiply(inverse(A),A)),B) = multiply(inverse(inverse(multiply(inverse(C),C))),B),
eq_47 ).
cnf(eq_50,negated_conjecture,
multiply(multiply(inverse(A),A),a2) != a2,
inference(cp,[status(thm)],[eq_42,eq_45]) ).
cnf(eq_51,plain,
multiply(inverse(multiply(x100,multiply(inverse(multiply(x101,x102)),x103))),multiply(x100,inverse(multiply(inverse(inverse(multiply(inverse(C),C))),multiply(inverse(multiply(inverse(multiply(x101,x102)),x103)),multiply(inverse(multiply(x105,x103)),multiply(x105,x103))))))) = multiply(inverse(A),A),
inference(cp,[status(thm)],[eq_49,eq_24]) ).
cnf(eq_52,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(B),B)))) = B,
inference(cp,[status(thm)],[eq_32,eq_48]) ).
cnf(eq_53,plain,
A = inverse(multiply(inverse(multiply(B,A)),multiply(B,multiply(inverse(A),A)))),
eq_52 ).
cnf(eq_54,plain,
multiply(inverse(A),A) = inverse(multiply(inverse(B),B)),
inference(rw,[status(thm)],[eq_51,eq_24]) ).
cnf(eq_55,plain,
multiply(inverse(inverse(multiply(inverse(x103),x103))),inverse(multiply(inverse(multiply(x101,x102)),multiply(x101,inverse(multiply(inverse(B),B)))))) = x102,
inference(cp,[status(thm)],[eq_54,eq_30]) ).
cnf(eq_56,plain,
inverse(multiply(inverse(multiply(x100,A)),multiply(x100,inverse(multiply(inverse(B),B))))) = A,
inference(cp,[status(thm)],[eq_54,eq_53]) ).
cnf(eq_57,plain,
A = inverse(multiply(inverse(A),multiply(inverse(A),A))),
inference(rw,[status(thm)],[eq_56,eq_33]) ).
cnf(eq_58,negated_conjecture,
multiply(inverse(multiply(inverse(B),B)),a2) != a2,
inference(cp,[status(thm)],[eq_54,eq_50]) ).
cnf(eq_59,negated_conjecture,
multiply(inverse(multiply(inverse(A),A)),a2) != a2,
eq_58 ).
cnf(eq_60,plain,
A = multiply(inverse(inverse(multiply(inverse(B),B))),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_55,eq_33]),eq_57]) ).
cnf(eq_61,negated_conjecture,
multiply(inverse(inverse(multiply(inverse(C),C))),a2) != a2,
inference(cp,[status(thm)],[eq_49,eq_59]) ).
cnf(eq_62,negated_conjecture,
multiply(inverse(inverse(multiply(inverse(A),A))),a2) != a2,
eq_61 ).
cnf(eq_63,negated_conjecture,
a2 != a2,
inference(cp,[status(thm)],[eq_60,eq_62]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP407-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 03:57:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.22/2.44 % SZS status Unsatisfiable
% 2.22/2.44 % SZS output start CNFRefutation for /tmp/MaedMax_18187
% See solution above
% 2.22/2.44
%------------------------------------------------------------------------------