TSTP Solution File: GRP404-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP404-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n011.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 07:02:41 EDT 2022
% Result : Unsatisfiable 7.27s 7.49s
% Output : CNFRefutation 7.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 2
% Syntax : Number of clauses : 61 ( 61 unt; 0 nHn; 8 RR)
% Number of literals : 61 ( 60 equ; 7 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 3 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 : 140 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(B,C)),A)),inverse(multiply(C,multiply(inverse(C),C)))))),
file('/tmp/MaedMax_22695') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/tmp/MaedMax_22695') ).
cnf(eq_2,plain,
multiply(x100,inverse(multiply(inverse(A),inverse(multiply(x101,multiply(inverse(x101),x101)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(x100,x101)),C)),A)),inverse(multiply(C,multiply(inverse(C),C))))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(inverse(C),C)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),x3)),B)),inverse(multiply(x3,multiply(inverse(x3),x3))))),
eq_2 ).
cnf(eq_4,plain,
multiply(inverse(multiply(A,C)),multiply(A,inverse(multiply(inverse(B),inverse(multiply(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),inverse(multiply(C,multiply(inverse(C),C)))))),inverse(multiply(B,multiply(inverse(B),B)))))) = inverse(multiply(x3,multiply(inverse(x3),x3))),
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_6,plain,
A = multiply(inverse(multiply(B,C)),multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,multiply(inverse(C),C))))))),
eq_4 ).
cnf(eq_7,plain,
multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(multiply(A,inverse(multiply(inverse(x3),inverse(multiply(B,multiply(inverse(B),B)))))),inverse(multiply(x3,multiply(inverse(x3),x3)))))) = inverse(multiply(C,multiply(inverse(C),C))),
eq_5 ).
cnf(eq_8,plain,
multiply(inverse(multiply(x100,x3)),multiply(x100,multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(inverse(C),C)))))))) = multiply(inverse(multiply(inverse(multiply(A,C)),x3)),B),
inference(cp,[status(thm)],[eq_3,eq_6]) ).
cnf(eq_9,plain,
multiply(inverse(multiply(inverse(multiply(B,C)),x102)),inverse(multiply(A,inverse(multiply(multiply(inverse(multiply(B,C)),A),multiply(inverse(multiply(inverse(multiply(B,C)),A)),multiply(inverse(multiply(B,C)),A))))))) = inverse(multiply(x102,multiply(inverse(x102),x102))),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_10,plain,
multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(inverse(x3),inverse(multiply(x4,multiply(inverse(x4),x4)))))))) = multiply(inverse(multiply(inverse(multiply(C,x4)),B)),x3),
eq_8 ).
cnf(eq_11,plain,
multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(x3,inverse(multiply(multiply(inverse(multiply(A,B)),x3),multiply(inverse(multiply(inverse(multiply(A,B)),x3)),multiply(inverse(multiply(A,B)),x3))))))) = inverse(multiply(C,multiply(inverse(C),C))),
eq_9 ).
cnf(eq_12,plain,
multiply(C,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(inverse(inverse(multiply(x4,multiply(inverse(x4),x4)))),inverse(multiply(x4,multiply(inverse(x4),x4)))))))))) = B,
inference(cp,[status(thm)],[eq_10,eq_0]) ).
cnf(eq_13,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(A,B)),inverse(x102)))),inverse(multiply(C,multiply(inverse(C),C)))) = x102,
inference(cp,[status(thm)],[eq_11,eq_6]) ).
cnf(eq_14,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_10]) ).
cnf(eq_15,plain,
A = multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),x3)),multiply(inverse(multiply(B,C)),inverse(A)))),inverse(multiply(x3,multiply(inverse(x3),x3)))),
eq_13 ).
cnf(eq_16,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(inverse(multiply(x3,x4)),B)),multiply(inverse(multiply(x3,x4)),C)),
eq_14 ).
cnf(eq_17,plain,
A = multiply(B,inverse(multiply(inverse(multiply(C,A)),multiply(C,multiply(B,inverse(multiply(inverse(inverse(multiply(x3,multiply(inverse(x3),x3)))),inverse(multiply(x3,multiply(inverse(x3),x3)))))))))),
eq_12 ).
cnf(eq_18,plain,
multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(x103)))),inverse(multiply(B,multiply(inverse(B),B)))) = x103,
inference(cp,[status(thm)],[eq_16,eq_15]) ).
cnf(eq_19,plain,
inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(multiply(B,multiply(inverse(B),B))))) = multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(x3,x4)),C)),inverse(multiply(x4,multiply(inverse(x4),x4)))))),
inference(cp,[status(thm)],[eq_16,eq_3]) ).
cnf(eq_20,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(x104,B)),multiply(x104,C)),
inference(cp,[status(thm)],[eq_16,eq_16]) ).
cnf(eq_21,plain,
A = inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,A))),inverse(multiply(C,multiply(inverse(C),C))))),
inference(rw,[status(thm)],[eq_19,eq_0]) ).
cnf(eq_22,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(x3,B)),multiply(x3,C)),
eq_20 ).
cnf(eq_23,plain,
A = multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(A)))),inverse(multiply(C,multiply(inverse(C),C)))),
eq_18 ).
cnf(eq_24,plain,
multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,A))),x102)) = multiply(inverse(multiply(x103,inverse(multiply(C,multiply(inverse(C),C))))),multiply(x103,x102)),
inference(cp,[status(thm)],[eq_21,eq_22]) ).
cnf(eq_25,plain,
multiply(inverse(multiply(inverse(multiply(x100,multiply(x3,C))),multiply(x100,inverse(x102)))),inverse(multiply(multiply(x3,C),multiply(inverse(multiply(A,C)),multiply(A,C))))) = x102,
inference(cp,[status(thm)],[eq_22,eq_23]) ).
cnf(eq_26,plain,
multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,A))),x3)) = multiply(inverse(multiply(x4,inverse(multiply(C,multiply(inverse(C),C))))),multiply(x4,x3)),
eq_24 ).
cnf(eq_27,plain,
A = multiply(inverse(multiply(inverse(multiply(B,multiply(C,x3))),multiply(B,inverse(A)))),inverse(multiply(multiply(C,x3),multiply(inverse(multiply(x4,x3)),multiply(x4,x3))))),
eq_25 ).
cnf(eq_28,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(x104,inverse(multiply(C,multiply(inverse(C),C))))),multiply(x104,inverse(multiply(C,multiply(inverse(C),C))))),
inference(cp,[status(thm)],[eq_23,eq_26]) ).
cnf(eq_29,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,inverse(multiply(C,multiply(inverse(C),C))))),multiply(B,inverse(multiply(C,multiply(inverse(C),C))))),
eq_28 ).
cnf(eq_30,plain,
multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,multiply(x4,x3))),multiply(B,inverse(A)))),inverse(multiply(multiply(x4,x3),multiply(inverse(multiply(x4,x3)),multiply(x4,x3)))))) = multiply(inverse(x102),x102),
inference(cp,[status(thm)],[eq_27,eq_29]) ).
cnf(eq_31,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
inference(rw,[status(thm)],[eq_30,eq_27]) ).
cnf(eq_32,negated_conjecture,
multiply(multiply(inverse(multiply(B,inverse(multiply(C,multiply(inverse(C),C))))),multiply(B,inverse(multiply(C,multiply(inverse(C),C))))),a2) != a2,
inference(cp,[status(thm)],[eq_29,eq_1]) ).
cnf(eq_33,negated_conjecture,
multiply(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(B),B))))),multiply(A,inverse(multiply(B,multiply(inverse(B),B))))),a2) != a2,
eq_32 ).
cnf(eq_34,plain,
multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(x102),multiply(inverse(inverse(x102)),inverse(x102))))) = x102,
inference(cp,[status(thm)],[eq_31,eq_23]) ).
cnf(eq_35,plain,
inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(x102,multiply(inverse(x102),x102))))) = multiply(x100,inverse(multiply(inverse(multiply(inverse(multiply(x100,x101)),x102)),inverse(multiply(x101,multiply(inverse(x101),x101)))))),
inference(cp,[status(thm)],[eq_31,eq_3]) ).
cnf(eq_36,plain,
multiply(x100,inverse(multiply(inverse(multiply(x101,x102)),multiply(x101,multiply(x100,inverse(multiply(inverse(A),A))))))) = x102,
inference(cp,[status(thm)],[eq_31,eq_17]) ).
cnf(eq_37,plain,
multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),x102)) = multiply(inverse(multiply(x103,B)),multiply(x103,x102)),
inference(cp,[status(thm)],[eq_31,eq_22]) ).
cnf(eq_38,plain,
A = inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(A,multiply(inverse(A),A))))),
inference(rw,[status(thm)],[eq_35,eq_0]) ).
cnf(eq_39,plain,
A = multiply(B,inverse(multiply(inverse(multiply(C,A)),multiply(C,multiply(B,inverse(multiply(inverse(x3),x3))))))),
eq_36 ).
cnf(eq_40,plain,
A = multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(A),multiply(inverse(inverse(A)),inverse(A))))),
eq_34 ).
cnf(eq_41,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(inverse(x3),x3)),multiply(inverse(B),C)),
eq_37 ).
cnf(eq_42,negated_conjecture,
multiply(multiply(inverse(A),A),a2) != a2,
inference(cp,[status(thm)],[eq_31,eq_33]) ).
cnf(eq_43,plain,
multiply(inverse(multiply(inverse(x100),x100)),inverse(multiply(inverse(x101),multiply(inverse(A),A)))) = x101,
inference(cp,[status(thm)],[eq_31,eq_40]) ).
cnf(eq_44,plain,
inverse(multiply(inverse(multiply(inverse(x100),x100)),inverse(multiply(B,multiply(inverse(A),A))))) = B,
inference(cp,[status(thm)],[eq_31,eq_38]) ).
cnf(eq_45,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(inverse(x103),x103)),multiply(inverse(x101),x101)),
inference(cp,[status(thm)],[eq_31,eq_41]) ).
cnf(eq_46,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(inverse(B),B)),multiply(inverse(C),C)),
eq_45 ).
cnf(eq_47,plain,
A = inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(A,multiply(inverse(C),C))))),
eq_44 ).
cnf(eq_48,plain,
A = multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(A),multiply(inverse(C),C)))),
eq_43 ).
cnf(eq_49,plain,
multiply(inverse(multiply(inverse(x100),x100)),inverse(multiply(inverse(A),A))) = multiply(inverse(B),B),
inference(cp,[status(thm)],[eq_46,eq_40]) ).
cnf(eq_50,plain,
A = multiply(inverse(multiply(inverse(multiply(inverse(x100),x100)),inverse(multiply(inverse(x3),x3)))),A),
inference(cp,[status(thm)],[eq_39,eq_48]) ).
cnf(eq_51,plain,
inverse(multiply(inverse(multiply(inverse(x100),x100)),inverse(multiply(inverse(A),A)))) = inverse(multiply(inverse(x102),x102)),
inference(cp,[status(thm)],[eq_31,eq_47]) ).
cnf(eq_52,plain,
A = multiply(inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C)))),A),
eq_50 ).
cnf(eq_53,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C))),
eq_49 ).
cnf(eq_54,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C)))),
eq_51 ).
cnf(eq_55,plain,
multiply(inverse(multiply(inverse(A),A)),x102) = x102,
inference(cp,[status(thm)],[eq_54,eq_52]) ).
cnf(eq_56,plain,
A = multiply(inverse(multiply(inverse(B),B)),A),
eq_55 ).
cnf(eq_57,negated_conjecture,
multiply(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C))),a2) != a2,
inference(cp,[status(thm)],[eq_53,eq_42]) ).
cnf(eq_58,negated_conjecture,
multiply(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(B),B))),a2) != a2,
eq_57 ).
cnf(eq_59,negated_conjecture,
a2 != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_56]),eq_56]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP404-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n011.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 04:15:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 7.27/7.49 % SZS status Unsatisfiable
% 7.27/7.49 % SZS output start CNFRefutation for /tmp/MaedMax_22695
% See solution above
% 7.27/7.49
%------------------------------------------------------------------------------