TSTP Solution File: BOO010-4 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO010-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n008.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 06:57:44 EDT 2022
% Result : Unsatisfiable 0.37s 0.56s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 18 unt; 0 nHn; 6 RR)
% Number of literals : 18 ( 17 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 : 20 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_15022') ).
cnf(eq_1,axiom,
multiply(X,Y) = multiply(Y,X),
file('/tmp/MaedMax_15022') ).
cnf(eq_2,axiom,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/tmp/MaedMax_15022') ).
cnf(eq_3,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_15022') ).
cnf(eq_4,axiom,
X = multiply(X,multiplicative_identity),
file('/tmp/MaedMax_15022') ).
cnf(eq_5,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('/tmp/MaedMax_15022') ).
cnf(eq_6,negated_conjecture,
add(a,multiply(a,b)) != a,
file('/tmp/MaedMax_15022') ).
cnf(eq_7,plain,
add(multiply(X,x101),X) = multiply(X,add(x101,multiplicative_identity)),
inference(cp,[status(thm)],[eq_4,eq_3]) ).
cnf(eq_8,plain,
multiply(multiplicative_identity,X) = X,
inference(cp,[status(thm)],[eq_1,eq_4]) ).
cnf(eq_9,plain,
multiply(add(X,x101),multiplicative_identity) = add(X,multiply(x101,inverse(X))),
inference(cp,[status(thm)],[eq_5,eq_2]) ).
cnf(eq_10,plain,
add(X,Y) = add(X,multiply(Y,inverse(X))),
inference(rw,[status(thm)],[eq_9,eq_4]) ).
cnf(eq_11,plain,
add(multiply(X,Y),X) = multiply(X,add(Y,multiplicative_identity)),
eq_7 ).
cnf(eq_12,negated_conjecture,
add(multiply(a,b),a) != a,
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_13,plain,
add(x100,inverse(x100)) = add(x100,multiplicative_identity),
inference(cp,[status(thm)],[eq_8,eq_10]) ).
cnf(eq_14,plain,
add(X,multiplicative_identity) = multiplicative_identity,
inference(rw,[status(thm)],[eq_13,eq_5]) ).
cnf(eq_15,negated_conjecture,
multiply(a,add(b,multiplicative_identity)) != a,
inference(cp,[status(thm)],[eq_11,eq_12]) ).
cnf(eq_16,negated_conjecture,
a != a,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_14]),eq_4]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO010-4 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Jul 26 03:32:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.37/0.56 % SZS status Unsatisfiable
% 0.37/0.56 % SZS output start CNFRefutation for /tmp/MaedMax_15022
% See solution above
% 0.37/0.56
%------------------------------------------------------------------------------