TSTP Solution File: BOO005-2 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO005-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n023.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 0.35s 0.53s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 7 RR)
% Number of literals : 17 ( 16 equ; 4 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_31594') ).
cnf(eq_1,axiom,
add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
file('/tmp/MaedMax_31594') ).
cnf(eq_2,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('/tmp/MaedMax_31594') ).
cnf(eq_3,axiom,
add(inverse(X),X) = multiplicative_identity,
file('/tmp/MaedMax_31594') ).
cnf(eq_4,axiom,
X = multiply(X,multiplicative_identity),
file('/tmp/MaedMax_31594') ).
cnf(eq_5,axiom,
X = multiply(multiplicative_identity,X),
file('/tmp/MaedMax_31594') ).
cnf(eq_6,axiom,
X = add(additive_identity,X),
file('/tmp/MaedMax_31594') ).
cnf(eq_7,negated_conjecture,
add(a,multiplicative_identity) != multiplicative_identity,
file('/tmp/MaedMax_31594') ).
cnf(eq_8,plain,
inverse(additive_identity) = multiplicative_identity,
inference(cp,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_9,plain,
multiply(multiplicative_identity,add(x102,X)) = add(multiply(inverse(X),x102),X),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_10,plain,
add(X,Y) = add(multiply(inverse(Y),X),Y),
inference(rw,[status(thm)],[eq_9,eq_5]) ).
cnf(eq_11,negated_conjecture,
add(multiplicative_identity,a) != multiplicative_identity,
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_12,plain,
add(inverse(x100),x100) = add(multiplicative_identity,x100),
inference(cp,[status(thm)],[eq_4,eq_10]) ).
cnf(eq_13,plain,
add(multiplicative_identity,X) = multiplicative_identity,
inference(rw,[status(thm)],[eq_12,eq_3]) ).
cnf(eq_14,negated_conjecture,
add(inverse(additive_identity),a) != multiplicative_identity,
inference(cp,[status(thm)],[eq_8,eq_11]) ).
cnf(eq_15,negated_conjecture,
multiplicative_identity != multiplicative_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_8]),eq_13]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : BOO005-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.11 % Command : run_maedmax %d %s
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Jul 26 03:43:03 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.35/0.53 % SZS status Unsatisfiable
% 0.35/0.53 % SZS output start CNFRefutation for /tmp/MaedMax_31594
% See solution above
% 0.35/0.53
%------------------------------------------------------------------------------