%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP558-1 : 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 07:02:55 EDT 2022
% Result : Unsatisfiable 0.77s 1.03s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of clauses : 31 ( 31 unt; 0 nHn; 6 RR)
% Number of literals : 31 ( 30 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 2 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 : 62 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(B,inverse(divide(divide(A,C),divide(B,C)))),
file('/tmp/MaedMax_3516') ).
cnf(eq_1,axiom,
divide(A,inverse(B)) = multiply(A,B),
file('/tmp/MaedMax_3516') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/tmp/MaedMax_3516') ).
cnf(eq_3,negated_conjecture,
divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]) ).
cnf(eq_4,plain,
divide(x100,inverse(divide(A,divide(x100,inverse(divide(divide(A,C),divide(B,C))))))) = B,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
divide(B,inverse(divide(divide(x101,inverse(divide(divide(A,C),divide(B,C)))),A))) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
A = divide(B,inverse(divide(divide(A,inverse(divide(divide(C,x3),divide(B,x3)))),C))),
eq_5 ).
cnf(eq_7,plain,
A = divide(B,inverse(divide(C,divide(B,inverse(divide(divide(C,x3),divide(A,x3))))))),
eq_4 ).
cnf(eq_8,plain,
divide(B,inverse(divide(A,A))) = B,
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_9,plain,
divide(x100,inverse(divide(divide(x101,inverse(divide(A,divide(x100,inverse(divide(divide(A,C),divide(B,C))))))),B))) = x101,
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_10,plain,
A = divide(A,inverse(divide(B,B))),
eq_8 ).
cnf(eq_11,plain,
A = divide(B,inverse(divide(divide(A,inverse(divide(C,divide(B,inverse(divide(divide(C,x3),divide(x4,x3))))))),x4))),
eq_9 ).
cnf(eq_12,plain,
A = multiply(B,divide(multiply(A,divide(divide(C,x3),divide(B,x3))),C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_1]),eq_1]) ).
cnf(eq_13,plain,
A = multiply(B,divide(multiply(A,divide(C,multiply(B,divide(divide(C,x3),divide(x4,x3))))),x4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_1]),eq_1]),eq_1]) ).
cnf(eq_14,plain,
A = multiply(B,divide(C,multiply(B,divide(divide(C,x3),divide(A,x3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_1]),eq_1]) ).
cnf(eq_15,plain,
A = multiply(A,divide(B,B)),
inference(rw,[status(thm)],[eq_10,eq_1]) ).
cnf(eq_16,plain,
multiply(A,divide(x101,A)) = x101,
inference(cp,[status(thm)],[eq_15,eq_14]) ).
cnf(eq_17,plain,
multiply(A,divide(multiply(x101,divide(x102,A)),x102)) = x101,
inference(cp,[status(thm)],[eq_15,eq_13]) ).
cnf(eq_18,plain,
A = multiply(B,divide(A,B)),
eq_16 ).
cnf(eq_19,plain,
A = multiply(B,divide(multiply(A,divide(C,B)),C)),
eq_17 ).
cnf(eq_20,plain,
A = divide(B,inverse(divide(divide(A,inverse(divide(C,B))),C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_1]),eq_1]) ).
cnf(eq_21,plain,
A = divide(B,inverse(divide(A,B))),
inference(rw,[status(thm)],[eq_18,eq_1]) ).
cnf(eq_22,plain,
multiply(x100,divide(divide(x102,x103),x102)) = divide(x100,x103),
inference(cp,[status(thm)],[eq_18,eq_12]) ).
cnf(eq_23,plain,
divide(A,B) = multiply(A,divide(divide(C,B),C)),
eq_22 ).
cnf(eq_24,plain,
divide(A,B) = divide(A,inverse(divide(divide(C,B),C))),
inference(rw,[status(thm)],[eq_23,eq_1]) ).
cnf(eq_25,plain,
divide(inverse(divide(B,B)),inverse(A)) = A,
inference(cp,[status(thm)],[eq_10,eq_21]) ).
cnf(eq_26,plain,
divide(x100,inverse(divide(divide(x102,x100),x102))) = inverse(divide(B,B)),
inference(cp,[status(thm)],[eq_25,eq_20]) ).
cnf(eq_27,plain,
divide(A,A) = inverse(divide(B,B)),
inference(rw,[status(thm)],[eq_26,eq_24]) ).
cnf(eq_28,negated_conjecture,
divide(inverse(divide(B,B)),inverse(a2)) != a2,
inference(cp,[status(thm)],[eq_27,eq_3]) ).
cnf(eq_29,negated_conjecture,
a2 != a2,
inference(rw,[status(thm)],[eq_28,eq_25]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP558-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : run_maedmax %d %s
% 0.13/0.35 % Computer : n013.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 04:10:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.77/1.03 % SZS status Unsatisfiable
% 0.77/1.03 % SZS output start CNFRefutation for /tmp/MaedMax_3516
% See solution above
% 0.77/1.03
%------------------------------------------------------------------------------