TSTP Solution File: GRP406-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP406-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n024.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 0.77s 0.96s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of clauses : 31 ( 31 unt; 0 nHn; 7 RR)
% Number of literals : 31 ( 30 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 70 ( 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_24007') ).
cnf(eq_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/tmp/MaedMax_24007') ).
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(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_17,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_18,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_16 ).
cnf(eq_19,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_17,eq_0]) ).
cnf(eq_20,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_19]) ).
cnf(eq_21,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_20,eq_7]) ).
cnf(eq_22,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_21,eq_18]) ).
cnf(eq_23,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(inverse(B),multiply(inverse(B),B))),multiply(inverse(B),multiply(inverse(B),B))),
eq_22 ).
cnf(eq_24,plain,
multiply(inverse(A),A) = multiply(inverse(x101),x101),
inference(cp,[status(thm)],[eq_23,eq_23]) ).
cnf(eq_25,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
eq_24 ).
cnf(eq_26,negated_conjecture,
multiply(inverse(multiply(inverse(B),multiply(inverse(B),B))),multiply(inverse(B),multiply(inverse(B),B))) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_23,eq_1]) ).
cnf(eq_27,negated_conjecture,
multiply(inverse(multiply(inverse(A),multiply(inverse(A),A))),multiply(inverse(A),multiply(inverse(A),A))) != multiply(inverse(b1),b1),
eq_26 ).
cnf(eq_28,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_25,eq_27]) ).
cnf(eq_29,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(A),A),
eq_28 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP406-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n024.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 04:20:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.77/0.96 % SZS status Unsatisfiable
% 0.77/0.96 % SZS output start CNFRefutation for /tmp/MaedMax_24007
% See solution above
% 0.77/0.96
%------------------------------------------------------------------------------