%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP585-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n020.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 0.45s 0.66s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of clauses : 25 ( 25 unt; 0 nHn; 7 RR)
% Number of literals : 25 ( 24 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(B,inverse(double_divide(inverse(double_divide(double_divide(B,C),inverse(A))),C))),
file('/tmp/MaedMax_29658') ).
cnf(eq_1,axiom,
inverse(double_divide(A,B)) = multiply(B,A),
file('/tmp/MaedMax_29658') ).
cnf(eq_2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/tmp/MaedMax_29658') ).
cnf(eq_3,plain,
A = double_divide(B,multiply(C,multiply(inverse(A),double_divide(B,C)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_1]),eq_1]) ).
cnf(eq_4,negated_conjecture,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]) ).
cnf(eq_5,plain,
double_divide(x100,inverse(double_divide(inverse(A),x101))) = double_divide(inverse(double_divide(double_divide(double_divide(x100,x101),C),inverse(A))),C),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
double_divide(B,inverse(double_divide(inverse(double_divide(A,inverse(x102))),inverse(double_divide(inverse(double_divide(double_divide(B,C),inverse(A))),C))))) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_7,plain,
double_divide(A,inverse(double_divide(inverse(B),C))) = double_divide(inverse(double_divide(double_divide(double_divide(A,C),x3),inverse(B))),x3),
eq_5 ).
cnf(eq_8,plain,
A = double_divide(B,inverse(double_divide(inverse(double_divide(C,inverse(A))),inverse(double_divide(inverse(double_divide(double_divide(B,x3),inverse(C))),x3))))),
eq_6 ).
cnf(eq_9,plain,
double_divide(x100,multiply(x101,multiply(multiply(B,A),double_divide(x100,x101)))) = double_divide(A,B),
inference(cp,[status(thm)],[eq_1,eq_3]) ).
cnf(eq_10,plain,
double_divide(A,B) = double_divide(C,multiply(x3,multiply(multiply(B,A),double_divide(C,x3)))),
eq_9 ).
cnf(eq_11,plain,
double_divide(inverse(double_divide(A,inverse(x102))),inverse(A)) = x102,
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_12,plain,
double_divide(double_divide(A,C),inverse(double_divide(A,inverse(double_divide(inverse(B),C))))) = B,
inference(cp,[status(thm)],[eq_7,eq_0]) ).
cnf(eq_13,plain,
double_divide(inverse(double_divide(double_divide(double_divide(A,C),x3),inverse(B))),inverse(double_divide(inverse(double_divide(double_divide(A,inverse(double_divide(inverse(B),C))),inverse(x102))),x3))) = x102,
inference(cp,[status(thm)],[eq_7,eq_0]) ).
cnf(eq_14,plain,
A = double_divide(inverse(double_divide(double_divide(double_divide(B,C),x3),inverse(x4))),inverse(double_divide(inverse(double_divide(double_divide(B,inverse(double_divide(inverse(x4),C))),inverse(A))),x3))),
eq_13 ).
cnf(eq_15,plain,
A = double_divide(double_divide(B,C),inverse(double_divide(B,inverse(double_divide(inverse(A),C))))),
eq_12 ).
cnf(eq_16,plain,
A = double_divide(inverse(double_divide(B,inverse(A))),inverse(B)),
eq_11 ).
cnf(eq_17,negated_conjecture,
inverse(double_divide(C,multiply(x3,multiply(multiply(inverse(a1),a1),double_divide(C,x3))))) != inverse(double_divide(b1,inverse(b1))),
inference(cp,[status(thm)],[eq_10,eq_4]) ).
cnf(eq_18,negated_conjecture,
multiply(inverse(b1),b1) != multiply(multiply(A,multiply(multiply(inverse(a1),a1),double_divide(B,A))),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_1]),eq_1]) ).
cnf(eq_19,plain,
double_divide(inverse(A),inverse(B)) = double_divide(inverse(double_divide(double_divide(B,C),inverse(A))),C),
inference(cp,[status(thm)],[eq_0,eq_16]) ).
cnf(eq_20,plain,
double_divide(inverse(double_divide(double_divide(double_divide(x100,x101),inverse(double_divide(x100,inverse(double_divide(inverse(x103),x101))))),inverse(x103))),inverse(A)) = A,
inference(cp,[status(thm)],[eq_16,eq_14]) ).
cnf(eq_21,plain,
A = double_divide(inverse(double_divide(B,inverse(B))),inverse(A)),
inference(rw,[status(thm)],[eq_20,eq_15]) ).
cnf(eq_22,negated_conjecture,
inverse(double_divide(A,inverse(A))) != inverse(double_divide(b1,inverse(b1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_1]),eq_1]),eq_1]),eq_1]),eq_19]),eq_21]),eq_1]) ).
cnf(eq_23,negated_conjecture,
inverse(double_divide(A,inverse(A))) != inverse(double_divide(A,inverse(A))),
eq_22 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP585-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Jul 26 04:13:24 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_29658
% See solution above
% 0.45/0.66
%------------------------------------------------------------------------------