TSTP Solution File: GRP562-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP562-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n015.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 0.50s 0.70s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 3 RR)
% Number of literals : 12 ( 11 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(divide(divide(B,inverse(A)),C),divide(B,C)),
file('/tmp/MaedMax_18898') ).
cnf(eq_1,axiom,
divide(A,inverse(B)) = multiply(A,B),
file('/tmp/MaedMax_18898') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/tmp/MaedMax_18898') ).
cnf(eq_3,plain,
divide(divide(divide(divide(divide(B,inverse(A)),C),inverse(X101)),divide(B,C)),A) = X101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
A = divide(divide(divide(divide(divide(B,inverse(C)),x3),inverse(A)),divide(B,x3)),C),
eq_3 ).
cnf(eq_5,plain,
divide(divide(A,divide(divide(divide(B,inverse(inverse(X103))),x3),divide(B,x3))),A) = X103,
inference(cp,[status(thm)],[eq_4,eq_4]) ).
cnf(eq_6,plain,
A = divide(divide(B,inverse(A)),B),
inference(rw,[status(thm)],[eq_5,eq_0]) ).
cnf(eq_7,plain,
divide(A,divide(B,B)) = A,
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_8,plain,
divide(divide(B,B),inverse(X101)) = X101,
inference(cp,[status(thm)],[eq_7,eq_6]) ).
cnf(eq_9,plain,
A = divide(divide(B,B),inverse(A)),
eq_8 ).
cnf(eq_10,negated_conjecture,
a2 != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]),eq_9]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP562-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n015.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 04:20:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.50/0.70 % SZS status Unsatisfiable
% 0.50/0.70 % SZS output start CNFRefutation for /tmp/MaedMax_18898
% See solution above
% 0.50/0.70
%------------------------------------------------------------------------------