TSTP Solution File: BOO006-2 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO006-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n028.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 06:57:42 EDT 2022
% Result : Unsatisfiable 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 4 RR)
% Number of literals : 10 ( 9 equ; 3 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; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_7507') ).
cnf(eq_1,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/tmp/MaedMax_7507') ).
cnf(eq_2,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_7507') ).
cnf(eq_3,axiom,
X = add(additive_identity,X),
file('/tmp/MaedMax_7507') ).
cnf(eq_4,negated_conjecture,
multiply(a,additive_identity) != additive_identity,
file('/tmp/MaedMax_7507') ).
cnf(eq_5,plain,
add(additive_identity,multiply(X,x102)) = multiply(X,add(inverse(X),x102)),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_6,plain,
multiply(X,Y) = multiply(X,add(inverse(X),Y)),
inference(rw,[status(thm)],[eq_5,eq_3]) ).
cnf(eq_7,negated_conjecture,
multiply(a,add(inverse(a),additive_identity)) != additive_identity,
inference(cp,[status(thm)],[eq_6,eq_4]) ).
cnf(eq_8,negated_conjecture,
additive_identity != additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_2]),eq_1]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO006-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run_maedmax %d %s
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Jul 26 03:33:17 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.49 % SZS status Unsatisfiable
% 0.18/0.49 % SZS output start CNFRefutation for /tmp/MaedMax_7507
% See solution above
% 0.18/0.49
%------------------------------------------------------------------------------