%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO009-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n024.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 0.58s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 26 ( 26 unt; 0 nHn; 5 RR)
% Number of literals : 26 ( 25 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 32 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_1112') ).
cnf(eq_1,axiom,
multiply(X,Y) = multiply(Y,X),
file('/tmp/MaedMax_1112') ).
cnf(eq_2,axiom,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/tmp/MaedMax_1112') ).
cnf(eq_3,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_1112') ).
cnf(eq_4,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_1112') ).
cnf(eq_5,axiom,
X = multiply(X,multiplicative_identity),
file('/tmp/MaedMax_1112') ).
cnf(eq_6,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('/tmp/MaedMax_1112') ).
cnf(eq_7,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/tmp/MaedMax_1112') ).
cnf(eq_8,negated_conjecture,
multiply(a,add(a,b)) != a,
file('/tmp/MaedMax_1112') ).
cnf(eq_9,plain,
add(multiply(X,x101),X) = multiply(X,add(x101,multiplicative_identity)),
inference(cp,[status(thm)],[eq_5,eq_3]) ).
cnf(eq_10,plain,
add(multiply(X,x101),additive_identity) = multiply(X,add(x101,inverse(X))),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_11,plain,
multiply(multiplicative_identity,X) = X,
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_12,plain,
multiply(add(X,x101),multiplicative_identity) = add(X,multiply(x101,inverse(X))),
inference(cp,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_13,plain,
add(X,Y) = add(X,multiply(Y,inverse(X))),
inference(rw,[status(thm)],[eq_12,eq_5]) ).
cnf(eq_14,plain,
add(multiply(X,Y),X) = multiply(X,add(Y,multiplicative_identity)),
eq_9 ).
cnf(eq_15,plain,
multiply(X,Y) = multiply(X,add(Y,inverse(X))),
inference(rw,[status(thm)],[eq_10,eq_4]) ).
cnf(eq_16,negated_conjecture,
multiply(a,add(b,a)) != a,
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_17,plain,
add(x100,inverse(x100)) = add(x100,multiplicative_identity),
inference(cp,[status(thm)],[eq_11,eq_13]) ).
cnf(eq_18,plain,
multiply(X,multiplicative_identity) = multiply(X,X),
inference(cp,[status(thm)],[eq_6,eq_15]) ).
cnf(eq_19,plain,
X = multiply(X,X),
inference(rw,[status(thm)],[eq_18,eq_5]) ).
cnf(eq_20,plain,
add(X,multiplicative_identity) = multiplicative_identity,
inference(rw,[status(thm)],[eq_17,eq_6]) ).
cnf(eq_21,plain,
add(multiply(X,Y),X) = X,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_20]),eq_5]) ).
cnf(eq_22,plain,
add(multiply(X,x101),X) = multiply(X,add(x101,X)),
inference(cp,[status(thm)],[eq_19,eq_3]) ).
cnf(eq_23,plain,
X = multiply(X,add(Y,X)),
inference(rw,[status(thm)],[eq_22,eq_21]) ).
cnf(eq_24,negated_conjecture,
a != a,
inference(cp,[status(thm)],[eq_23,eq_16]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO009-4 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 03:29:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.37/0.58 % SZS status Unsatisfiable
% 0.37/0.58 % SZS output start CNFRefutation for /tmp/MaedMax_1112
% See solution above
% 0.37/0.58
%------------------------------------------------------------------------------