%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP556-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n021.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 07:02:55 EDT 2022
% Result : Unsatisfiable 0.45s 0.66s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 3 RR)
% Number of literals : 21 ( 20 equ; 2 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(divide(B,inverse(divide(A,divide(B,C)))),C),
file('/tmp/MaedMax_21928') ).
cnf(eq_1,axiom,
divide(A,inverse(B)) = multiply(A,B),
file('/tmp/MaedMax_21928') ).
cnf(eq_2,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/tmp/MaedMax_21928') ).
cnf(eq_3,plain,
A = divide(multiply(B,divide(A,divide(B,C))),C),
inference(rw,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_4,plain,
divide(divide(x100,inverse(A)),x102) = divide(B,inverse(divide(A,divide(B,divide(x100,x102))))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
divide(divide(divide(B,inverse(divide(A,divide(B,C)))),inverse(divide(x101,A))),C) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
A = divide(divide(divide(B,inverse(divide(C,divide(B,x3)))),inverse(divide(A,C))),x3),
eq_5 ).
cnf(eq_7,plain,
divide(A,inverse(divide(B,divide(A,divide(C,x3))))) = divide(divide(C,inverse(B)),x3),
eq_4 ).
cnf(eq_8,plain,
divide(divide(divide(C,inverse(B)),x3),divide(C,x3)) = B,
inference(cp,[status(thm)],[eq_7,eq_0]) ).
cnf(eq_9,plain,
divide(A,inverse(divide(x103,A))) = x103,
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_10,plain,
A = divide(divide(divide(B,inverse(A)),C),divide(B,C)),
eq_8 ).
cnf(eq_11,plain,
A = divide(B,inverse(divide(A,B))),
eq_9 ).
cnf(eq_12,plain,
A = multiply(B,divide(A,B)),
inference(rw,[status(thm)],[eq_11,eq_1]) ).
cnf(eq_13,plain,
A = divide(C,divide(B,divide(B,inverse(divide(A,C))))),
inference(cp,[status(thm)],[eq_6,eq_10]) ).
cnf(eq_14,plain,
A = divide(B,divide(C,divide(C,inverse(divide(A,B))))),
eq_13 ).
cnf(eq_15,plain,
divide(B,divide(B,A)) = A,
inference(cp,[status(thm)],[eq_11,eq_14]) ).
cnf(eq_16,plain,
divide(multiply(B,A),A) = B,
inference(cp,[status(thm)],[eq_15,eq_3]) ).
cnf(eq_17,plain,
A = divide(multiply(A,B),B),
eq_16 ).
cnf(eq_18,plain,
multiply(B,A) = multiply(A,B),
inference(cp,[status(thm)],[eq_17,eq_12]) ).
cnf(eq_19,negated_conjecture,
multiply(a,b) != multiply(a,b),
inference(cp,[status(thm)],[eq_18,eq_2]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP556-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n021.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 04:19:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.45/0.66 % SZS status Unsatisfiable
% 0.45/0.66 % SZS output start CNFRefutation for /tmp/MaedMax_21928
% See solution above
% 0.45/0.66
%------------------------------------------------------------------------------