TSTP Solution File: GRP022-2 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP022-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n026.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 07:01:51 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 4 RR)
% Number of literals : 11 ( 10 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = multiply(identity,X),
file('/tmp/MaedMax_24135') ).
cnf(eq_1,axiom,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
file('/tmp/MaedMax_24135') ).
cnf(eq_2,axiom,
X = multiply(X,identity),
file('/tmp/MaedMax_24135') ).
cnf(eq_3,axiom,
identity = multiply(X,inverse(X)),
file('/tmp/MaedMax_24135') ).
cnf(eq_4,negated_conjecture,
inverse(inverse(a)) != a,
file('/tmp/MaedMax_24135') ).
cnf(eq_5,plain,
multiply(identity,x102) = multiply(X,multiply(inverse(X),x102)),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_6,plain,
X = multiply(Y,multiply(inverse(Y),X)),
inference(rw,[status(thm)],[eq_5,eq_0]) ).
cnf(eq_7,plain,
multiply(x100,identity) = inverse(inverse(x100)),
inference(cp,[status(thm)],[eq_3,eq_6]) ).
cnf(eq_8,plain,
X = inverse(inverse(X)),
inference(rw,[status(thm)],[eq_7,eq_2]) ).
cnf(eq_9,negated_conjecture,
a != a,
inference(rw,[status(thm)],[eq_4,eq_8]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP022-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n026.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 04:38:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % SZS status Unsatisfiable
% 0.19/0.49 % SZS output start CNFRefutation for /tmp/MaedMax_24135
% See solution above
% 0.19/0.49
%------------------------------------------------------------------------------