%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO006-4 : TPTP v8.1.0. Released v1.1.0.
% 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 06:57:42 EDT 2022
% Result : Unsatisfiable 0.38s 0.58s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 10 RR)
% Number of literals : 24 ( 23 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 21 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_13484') ).
cnf(eq_1,axiom,
multiply(X,Y) = multiply(Y,X),
file('/tmp/MaedMax_13484') ).
cnf(eq_2,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_13484') ).
cnf(eq_3,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_13484') ).
cnf(eq_4,axiom,
X = multiply(X,multiplicative_identity),
file('/tmp/MaedMax_13484') ).
cnf(eq_5,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/tmp/MaedMax_13484') ).
cnf(eq_6,negated_conjecture,
multiply(a,additive_identity) != additive_identity,
file('/tmp/MaedMax_13484') ).
cnf(eq_7,plain,
add(multiply(x100,x102),multiply(x100,x101)) = multiply(x100,add(x101,x102)),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_8,plain,
add(multiply(X,x101),additive_identity) = multiply(X,add(x101,inverse(X))),
inference(cp,[status(thm)],[eq_5,eq_2]) ).
cnf(eq_9,plain,
multiply(inverse(X),X) = additive_identity,
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_10,plain,
X = add(additive_identity,X),
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_11,plain,
multiply(X,add(Y,Z)) = multiply(X,add(Z,Y)),
inference(rw,[status(thm)],[eq_7,eq_2]) ).
cnf(eq_12,plain,
multiply(X,Y) = multiply(X,add(Y,inverse(X))),
inference(rw,[status(thm)],[eq_8,eq_3]) ).
cnf(eq_13,negated_conjecture,
multiply(additive_identity,a) != additive_identity,
inference(cp,[status(thm)],[eq_1,eq_6]) ).
cnf(eq_14,plain,
additive_identity = inverse(multiplicative_identity),
inference(cp,[status(thm)],[eq_9,eq_4]) ).
cnf(eq_15,plain,
multiply(x100,inverse(x100)) = multiply(x100,additive_identity),
inference(cp,[status(thm)],[eq_10,eq_12]) ).
cnf(eq_16,plain,
multiply(X,additive_identity) = additive_identity,
inference(rw,[status(thm)],[eq_15,eq_5]) ).
cnf(eq_17,negated_conjecture,
multiply(additive_identity,add(a,inverse(additive_identity))) != additive_identity,
inference(cp,[status(thm)],[eq_12,eq_13]) ).
cnf(eq_18,plain,
multiply(additive_identity,X) = additive_identity,
inference(cp,[status(thm)],[eq_1,eq_16]) ).
cnf(eq_19,plain,
multiply(inverse(multiplicative_identity),X) = inverse(multiplicative_identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_14]),eq_14]) ).
cnf(eq_20,negated_conjecture,
multiply(additive_identity,add(inverse(additive_identity),a)) != additive_identity,
inference(cp,[status(thm)],[eq_11,eq_17]) ).
cnf(eq_21,negated_conjecture,
multiply(inverse(multiplicative_identity),add(inverse(inverse(multiplicative_identity)),a)) != inverse(multiplicative_identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_14]),eq_14]),eq_14]) ).
cnf(eq_22,negated_conjecture,
inverse(multiplicative_identity) != inverse(multiplicative_identity),
inference(cp,[status(thm)],[eq_19,eq_21]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO006-4 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Jul 26 03:25:54 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.38/0.58 % SZS status Unsatisfiable
% 0.38/0.58 % SZS output start CNFRefutation for /tmp/MaedMax_13484
% See solution above
% 0.38/0.58
%------------------------------------------------------------------------------