%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP439-1 : 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 07:02:45 EDT 2022
% Result : Unsatisfiable 22.68s 22.89s
% Output : CNFRefutation 22.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 2
% Syntax : Number of clauses : 40 ( 40 unt; 0 nHn; 4 RR)
% Number of literals : 40 ( 39 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-2 aty)
% Number of variables : 127 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(A,multiply(B,D))))))),
file('/tmp/MaedMax_23332') ).
cnf(eq_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/tmp/MaedMax_23332') ).
cnf(eq_2,plain,
inverse(multiply(x100,multiply(multiply(B,multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(A,multiply(B,D)))))),multiply(multiply(A,x102),inverse(multiply(x103,multiply(x100,x102))))))) = x103,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
inverse(multiply(C,multiply(x101,multiply(multiply(inverse(x101),multiply(multiply(inverse(C),D),inverse(multiply(A,multiply(B,D))))),A)))) = B,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
A = inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(inverse(B),D),inverse(multiply(x4,multiply(A,D))))),x4)))),
eq_3 ).
cnf(eq_5,plain,
A = inverse(multiply(B,multiply(multiply(C,multiply(D,multiply(multiply(inverse(D),x4),inverse(multiply(x5,multiply(C,x4)))))),multiply(multiply(x5,x6),inverse(multiply(A,multiply(B,x6))))))),
eq_2 ).
cnf(eq_6,plain,
inverse(multiply(x100,multiply(x101,multiply(multiply(inverse(x101),multiply(multiply(inverse(x100),multiply(multiply(x5,x6),inverse(multiply(A,multiply(B,x6))))),A)),B)))) = multiply(C,multiply(D,multiply(multiply(inverse(D),x4),inverse(multiply(x5,multiply(C,x4)))))),
inference(cp,[status(thm)],[eq_5,eq_4]) ).
cnf(eq_7,plain,
inverse(multiply(x100,multiply(x101,multiply(multiply(inverse(x101),multiply(multiply(inverse(x100),multiply(multiply(inverse(C),D),inverse(multiply(A,multiply(B,D))))),A)),B)))) = C,
inference(cp,[status(thm)],[eq_0,eq_4]) ).
cnf(eq_8,plain,
A = inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(inverse(B),multiply(multiply(inverse(A),D),inverse(multiply(x4,multiply(x5,D))))),x4)),x5)))),
eq_7 ).
cnf(eq_9,plain,
inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(inverse(A),multiply(multiply(C,D),inverse(multiply(x4,multiply(x5,D))))),x4)),x5)))) = multiply(x6,multiply(x7,multiply(multiply(inverse(x7),x8),inverse(multiply(C,multiply(x6,x8)))))),
eq_6 ).
cnf(eq_10,plain,
A = multiply(x106,multiply(x107,multiply(multiply(inverse(x107),x108),inverse(multiply(inverse(A),multiply(x106,x108)))))),
inference(cp,[status(thm)],[eq_8,eq_9]) ).
cnf(eq_11,plain,
A = multiply(B,multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(inverse(A),multiply(B,D)))))),
eq_10 ).
cnf(eq_12,plain,
inverse(multiply(B,multiply(x101,multiply(multiply(inverse(x101),multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(inverse(A),multiply(B,D)))))),inverse(multiply(x103,A)))))) = x103,
inference(cp,[status(thm)],[eq_11,eq_0]) ).
cnf(eq_13,plain,
multiply(x100,multiply(x101,multiply(A,inverse(multiply(inverse(x103),multiply(x100,multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(inverse(A),multiply(inverse(x101),D))))))))))) = x103,
inference(cp,[status(thm)],[eq_11,eq_11]) ).
cnf(eq_14,plain,
A = multiply(B,multiply(C,multiply(D,inverse(multiply(inverse(A),multiply(B,multiply(x4,multiply(multiply(inverse(x4),x5),inverse(multiply(inverse(D),multiply(inverse(C),x5))))))))))),
eq_13 ).
cnf(eq_15,plain,
A = inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),x4),inverse(multiply(inverse(x5),multiply(B,x4)))))),inverse(multiply(A,x5)))))),
eq_12 ).
cnf(eq_16,plain,
inverse(multiply(inverse(x101),multiply(x101,multiply(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(inverse(A),multiply(multiply(inverse(x104),D),inverse(multiply(x4,multiply(x5,D))))),x4)),x5)))),inverse(multiply(x105,x104)))))) = x105,
inference(cp,[status(thm)],[eq_9,eq_15]) ).
cnf(eq_17,plain,
multiply(inverse(x101),multiply(x101,multiply(x102,inverse(multiply(inverse(x103),inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(inverse(A),multiply(multiply(inverse(x102),D),inverse(multiply(x4,multiply(x5,D))))),x4)),x5))))))))) = x103,
inference(cp,[status(thm)],[eq_9,eq_14]) ).
cnf(eq_18,plain,
A = inverse(multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(A,C)))))),
inference(rw,[status(thm)],[eq_16,eq_8]) ).
cnf(eq_19,plain,
A = multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(inverse(A),C))))),
inference(rw,[status(thm)],[eq_17,eq_8]) ).
cnf(eq_20,plain,
inverse(multiply(B,multiply(x101,multiply(multiply(inverse(x101),multiply(x102,multiply(multiply(inverse(x102),multiply(C,inverse(multiply(A,C)))),A))),inverse(multiply(x105,B)))))) = x105,
inference(cp,[status(thm)],[eq_18,eq_15]) ).
cnf(eq_21,plain,
multiply(B,multiply(x101,multiply(multiply(inverse(x101),multiply(C,inverse(multiply(A,C)))),A))) = inverse(multiply(x104,multiply(x105,multiply(multiply(inverse(x105),multiply(multiply(inverse(x104),multiply(multiply(inverse(B),x106),inverse(multiply(x107,multiply(x108,x106))))),x107)),x108)))),
inference(cp,[status(thm)],[eq_18,eq_9]) ).
cnf(eq_22,plain,
multiply(inverse(x100),multiply(x100,multiply(multiply(B,multiply(C,inverse(multiply(A,C)))),A))) = B,
inference(cp,[status(thm)],[eq_18,eq_19]) ).
cnf(eq_23,plain,
multiply(inverse(x100),multiply(x100,multiply(x101,inverse(multiply(A,x101))))) = multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(A,C))))),
inference(cp,[status(thm)],[eq_18,eq_19]) ).
cnf(eq_24,plain,
A = multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(multiply(D,C)))),D))),
inference(rw,[status(thm)],[eq_21,eq_8]) ).
cnf(eq_25,plain,
A = multiply(inverse(B),multiply(B,multiply(multiply(A,multiply(C,inverse(multiply(D,C)))),D))),
eq_22 ).
cnf(eq_26,plain,
multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) = multiply(inverse(D),multiply(D,multiply(x4,inverse(multiply(C,x4))))),
eq_23 ).
cnf(eq_27,plain,
A = inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),multiply(x4,inverse(multiply(x5,x4)))),x5))),inverse(multiply(A,B)))))),
eq_20 ).
cnf(eq_28,plain,
A = inverse(multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(A,B)))))),
inference(rw,[status(thm)],[eq_27,eq_24]) ).
cnf(eq_29,plain,
multiply(inverse(x100),multiply(x100,multiply(multiply(x101,multiply(multiply(C,multiply(inverse(C),inverse(multiply(A,B)))),A)),B))) = x101,
inference(cp,[status(thm)],[eq_28,eq_25]) ).
cnf(eq_30,plain,
A = multiply(inverse(B),multiply(B,multiply(multiply(A,multiply(multiply(C,multiply(inverse(C),inverse(multiply(D,x4)))),D)),x4))),
eq_29 ).
cnf(eq_31,plain,
multiply(inverse(x100),multiply(x100,multiply(multiply(x101,multiply(multiply(x102,multiply(inverse(x102),inverse(A))),A)),multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(multiply(D,C)))),D))))) = x101,
inference(cp,[status(thm)],[eq_24,eq_30]) ).
cnf(eq_32,plain,
A = multiply(inverse(B),multiply(B,multiply(A,multiply(multiply(C,multiply(inverse(C),inverse(D))),D)))),
inference(rw,[status(thm)],[eq_31,eq_24]) ).
cnf(eq_33,plain,
multiply(x101,multiply(x102,inverse(multiply(multiply(multiply(C,multiply(inverse(C),inverse(D))),D),x102)))) = x101,
inference(cp,[status(thm)],[eq_32,eq_25]) ).
cnf(eq_34,plain,
A = multiply(A,multiply(B,inverse(multiply(multiply(multiply(C,multiply(inverse(C),inverse(D))),D),B)))),
eq_33 ).
cnf(eq_35,plain,
multiply(inverse(A),A) = multiply(inverse(x103),multiply(x103,multiply(x104,inverse(multiply(multiply(multiply(C,multiply(inverse(C),inverse(D))),D),x104))))),
inference(cp,[status(thm)],[eq_34,eq_26]) ).
cnf(eq_36,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
inference(rw,[status(thm)],[eq_35,eq_34]) ).
cnf(eq_37,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_36,eq_1]) ).
cnf(eq_38,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(A),A),
eq_37 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP439-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n011.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 04:15:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 22.68/22.89 % SZS status Unsatisfiable
% 22.68/22.89 % SZS output start CNFRefutation for /tmp/MaedMax_23332
% See solution above
% 22.68/22.89
%------------------------------------------------------------------------------