%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP589-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n017.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 07:02:57 EDT 2022
% Result : Unsatisfiable 0.91s 1.12s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of clauses : 22 ( 22 unt; 0 nHn; 4 RR)
% Number of literals : 22 ( 21 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(inverse(double_divide(double_divide(B,C),inverse(double_divide(B,inverse(A))))),C),
file('/tmp/MaedMax_14508') ).
cnf(eq_1,axiom,
inverse(double_divide(A,B)) = multiply(B,A),
file('/tmp/MaedMax_14508') ).
cnf(eq_2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/tmp/MaedMax_14508') ).
cnf(eq_3,plain,
double_divide(inverse(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(B,C),inverse(double_divide(B,inverse(A))))),inverse(x102))))),C) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(B,inverse(x102)),inverse(double_divide(B,inverse(A))))),x101),inverse(A))),x101) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
A = double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(B,inverse(A)),inverse(double_divide(B,inverse(C))))),x3),inverse(C))),x3),
eq_4 ).
cnf(eq_6,plain,
A = double_divide(inverse(double_divide(B,inverse(double_divide(inverse(double_divide(double_divide(C,x3),inverse(double_divide(C,inverse(B))))),inverse(A))))),x3),
eq_3 ).
cnf(eq_7,plain,
double_divide(inverse(double_divide(A,inverse(A))),inverse(x101)) = x101,
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_8,plain,
A = double_divide(inverse(double_divide(B,inverse(B))),inverse(A)),
eq_7 ).
cnf(eq_9,plain,
double_divide(inverse(inverse(double_divide(B,inverse(B)))),inverse(x101)) = x101,
inference(cp,[status(thm)],[eq_8,eq_8]) ).
cnf(eq_10,plain,
double_divide(inverse(double_divide(inverse(double_divide(double_divide(x101,x102),inverse(double_divide(x101,inverse(inverse(double_divide(B,inverse(B)))))))),inverse(x103))),x102) = x103,
inference(cp,[status(thm)],[eq_8,eq_6]) ).
cnf(eq_11,plain,
A = double_divide(inverse(inverse(double_divide(B,inverse(B)))),inverse(A)),
eq_9 ).
cnf(eq_12,plain,
A = double_divide(inverse(double_divide(inverse(double_divide(double_divide(B,C),inverse(double_divide(B,inverse(inverse(double_divide(x3,inverse(x3)))))))),inverse(A))),C),
eq_10 ).
cnf(eq_13,plain,
A = double_divide(inverse(multiply(inverse(B),B)),inverse(A)),
inference(rw,[status(thm)],[eq_11,eq_1]) ).
cnf(eq_14,plain,
double_divide(inverse(A),inverse(inverse(double_divide(x102,inverse(x102))))) = A,
inference(cp,[status(thm)],[eq_8,eq_12]) ).
cnf(eq_15,plain,
A = double_divide(inverse(A),inverse(inverse(double_divide(B,inverse(B))))),
eq_14 ).
cnf(eq_16,plain,
A = double_divide(inverse(A),inverse(multiply(inverse(B),B))),
inference(rw,[status(thm)],[eq_15,eq_1]) ).
cnf(eq_17,plain,
multiply(inverse(x101),x101) = multiply(inverse(B),B),
inference(cp,[status(thm)],[eq_13,eq_16]) ).
cnf(eq_18,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
eq_17 ).
cnf(eq_19,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_18,eq_2]) ).
cnf(eq_20,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(A),A),
eq_19 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP589-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n017.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 03:35:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.91/1.12 % SZS status Unsatisfiable
% 0.91/1.12 % SZS output start CNFRefutation for /tmp/MaedMax_14508
% See solution above
% 0.91/1.12
%------------------------------------------------------------------------------