TSTP Solution File: BOO005-4 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO005-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n029.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 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 4 RR)
% Number of literals : 12 ( 11 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
multiply(X,Y) = multiply(Y,X),
file('/tmp/MaedMax_30249') ).
cnf(eq_1,axiom,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/tmp/MaedMax_30249') ).
cnf(eq_2,axiom,
X = multiply(X,multiplicative_identity),
file('/tmp/MaedMax_30249') ).
cnf(eq_3,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('/tmp/MaedMax_30249') ).
cnf(eq_4,negated_conjecture,
add(a,multiplicative_identity) != multiplicative_identity,
file('/tmp/MaedMax_30249') ).
cnf(eq_5,plain,
multiply(multiplicative_identity,X) = X,
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_6,plain,
multiply(add(X,x101),multiplicative_identity) = add(X,multiply(x101,inverse(X))),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_7,plain,
add(X,Y) = add(X,multiply(Y,inverse(X))),
inference(rw,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_8,plain,
add(x100,inverse(x100)) = add(x100,multiplicative_identity),
inference(cp,[status(thm)],[eq_5,eq_7]) ).
cnf(eq_9,plain,
add(X,multiplicative_identity) = multiplicative_identity,
inference(rw,[status(thm)],[eq_8,eq_3]) ).
cnf(eq_10,negated_conjecture,
multiplicative_identity != multiplicative_identity,
inference(rw,[status(thm)],[eq_4,eq_9]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO005-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 26 03:35:28 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.53 % SZS status Unsatisfiable
% 0.19/0.53 % SZS output start CNFRefutation for /tmp/MaedMax_30249
% See solution above
% 0.19/0.53
%------------------------------------------------------------------------------