TSTP Solution File: GRP517-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP517-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n013.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 07:02:51 EDT 2022
% Result : Unsatisfiable 0.47s 0.67s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 9 RR)
% Number of literals : 24 ( 23 equ; 8 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = multiply(B,multiply(multiply(inverse(multiply(B,C)),A),C)),
file('/tmp/MaedMax_8947') ).
cnf(eq_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/tmp/MaedMax_8947') ).
cnf(eq_2,plain,
multiply(x100,multiply(A,x101)) = multiply(multiply(inverse(multiply(inverse(multiply(x100,x101)),C)),A),C),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
multiply(B,multiply(multiply(inverse(A),x102),multiply(multiply(inverse(multiply(B,C)),A),C))) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
A = multiply(B,multiply(multiply(inverse(C),A),multiply(multiply(inverse(multiply(B,x3)),C),x3))),
eq_3 ).
cnf(eq_5,plain,
multiply(A,multiply(B,C)) = multiply(multiply(inverse(multiply(inverse(multiply(A,C)),x3)),B),x3),
eq_2 ).
cnf(eq_6,plain,
multiply(multiply(inverse(A),x102),A) = x102,
inference(cp,[status(thm)],[eq_0,eq_4]) ).
cnf(eq_7,plain,
multiply(inverse(multiply(A,C)),multiply(A,multiply(B,C))) = B,
inference(cp,[status(thm)],[eq_5,eq_0]) ).
cnf(eq_8,plain,
A = multiply(inverse(multiply(B,C)),multiply(B,multiply(A,C))),
eq_7 ).
cnf(eq_9,plain,
A = multiply(multiply(inverse(B),A),B),
eq_6 ).
cnf(eq_10,plain,
multiply(A,multiply(B,C)) = multiply(B,multiply(A,C)),
inference(cp,[status(thm)],[eq_8,eq_9]) ).
cnf(eq_11,plain,
multiply(inverse(A),multiply(multiply(inverse(B),A),multiply(x102,B))) = x102,
inference(cp,[status(thm)],[eq_9,eq_8]) ).
cnf(eq_12,plain,
multiply(inverse(multiply(x100,B)),multiply(x100,A)) = multiply(inverse(B),A),
inference(cp,[status(thm)],[eq_9,eq_8]) ).
cnf(eq_13,plain,
multiply(inverse(A),B) = multiply(inverse(multiply(C,A)),multiply(C,B)),
eq_12 ).
cnf(eq_14,plain,
A = multiply(inverse(B),multiply(multiply(inverse(C),B),multiply(A,C))),
eq_11 ).
cnf(eq_15,plain,
multiply(A,B) = multiply(multiply(inverse(C),B),multiply(A,C)),
inference(cp,[status(thm)],[eq_14,eq_9]) ).
cnf(eq_16,negated_conjecture,
multiply(inverse(multiply(C,a1)),multiply(C,a1)) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_13,eq_1]) ).
cnf(eq_17,negated_conjecture,
multiply(inverse(multiply(A,a1)),multiply(A,a1)) != multiply(inverse(b1),b1),
eq_16 ).
cnf(eq_18,negated_conjecture,
multiply(B,multiply(inverse(multiply(B,a1)),a1)) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_10,eq_17]) ).
cnf(eq_19,negated_conjecture,
multiply(A,multiply(inverse(multiply(A,a1)),a1)) != multiply(inverse(b1),b1),
eq_18 ).
cnf(eq_20,negated_conjecture,
multiply(inverse(multiply(multiply(inverse(a1),B),a1)),B) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_15,eq_19]) ).
cnf(eq_21,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(b1),b1),
inference(rw,[status(thm)],[eq_20,eq_9]) ).
cnf(eq_22,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(A),A),
eq_21 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP517-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : run_maedmax %d %s
% 0.14/0.35 % Computer : n013.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 04:12:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.47/0.67 % SZS status Unsatisfiable
% 0.47/0.67 % SZS output start CNFRefutation for /tmp/MaedMax_8947
% See solution above
% 0.47/0.67
%------------------------------------------------------------------------------