TSTP Solution File: BOO011-4 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO011-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n020.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 06:57:45 EDT 2022
% Result : Unsatisfiable 0.18s 0.56s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 18 unt; 0 nHn; 8 RR)
% Number of literals : 18 ( 17 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_14812') ).
cnf(eq_1,axiom,
multiply(X,Y) = multiply(Y,X),
file('/tmp/MaedMax_14812') ).
cnf(eq_2,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_14812') ).
cnf(eq_3,axiom,
X = multiply(X,multiplicative_identity),
file('/tmp/MaedMax_14812') ).
cnf(eq_4,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('/tmp/MaedMax_14812') ).
cnf(eq_5,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/tmp/MaedMax_14812') ).
cnf(eq_6,negated_conjecture,
multiplicative_identity != inverse(additive_identity),
file('/tmp/MaedMax_14812') ).
cnf(eq_7,plain,
multiply(inverse(X),X) = additive_identity,
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_8,plain,
multiplicative_identity = add(inverse(X),X),
inference(cp,[status(thm)],[eq_4,eq_0]) ).
cnf(eq_9,plain,
X = add(additive_identity,X),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_10,plain,
add(inverse(X),X) = multiplicative_identity,
eq_8 ).
cnf(eq_11,plain,
additive_identity = inverse(multiplicative_identity),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_12,plain,
multiplicative_identity = inverse(additive_identity),
inference(cp,[status(thm)],[eq_4,eq_9]) ).
cnf(eq_13,negated_conjecture,
add(inverse(X),X) != inverse(additive_identity),
inference(cp,[status(thm)],[eq_8,eq_6]) ).
cnf(eq_14,plain,
multiplicative_identity = inverse(inverse(multiplicative_identity)),
inference(rw,[status(thm)],[eq_12,eq_11]) ).
cnf(eq_15,negated_conjecture,
multiplicative_identity != inverse(inverse(multiplicative_identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_10]),eq_11]) ).
cnf(eq_16,negated_conjecture,
multiplicative_identity != multiplicative_identity,
inference(cp,[status(thm)],[eq_14,eq_15]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : BOO011-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.01/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 03:26:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.56 % SZS status Unsatisfiable
% 0.18/0.56 % SZS output start CNFRefutation for /tmp/MaedMax_14812
% See solution above
% 0.18/0.56
%------------------------------------------------------------------------------