TSTP Solution File: RNG016-6 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : RNG016-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n018.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 07:11:46 EDT 2022
% Result : Unsatisfiable 0.60s 0.81s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 6 RR)
% Number of literals : 21 ( 20 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 27 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_24888') ).
cnf(eq_1,axiom,
additive_identity = multiply(additive_identity,X),
file('/tmp/MaedMax_24888') ).
cnf(eq_2,axiom,
additive_identity = add(additive_inverse(X),X),
file('/tmp/MaedMax_24888') ).
cnf(eq_3,axiom,
X = additive_inverse(additive_inverse(X)),
file('/tmp/MaedMax_24888') ).
cnf(eq_4,axiom,
add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
file('/tmp/MaedMax_24888') ).
cnf(eq_5,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_24888') ).
cnf(eq_6,axiom,
add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/tmp/MaedMax_24888') ).
cnf(eq_7,negated_conjecture,
add(multiply(x,z),additive_inverse(multiply(y,z))) != multiply(add(x,additive_inverse(y)),z),
file('/tmp/MaedMax_24888') ).
cnf(eq_8,negated_conjecture,
add(additive_inverse(multiply(y,z)),multiply(x,z)) != multiply(add(additive_inverse(y),x),z),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_5]),eq_5]) ).
cnf(eq_9,plain,
add(add(Y,X),x102) = add(X,add(Y,x102)),
inference(cp,[status(thm)],[eq_5,eq_6]) ).
cnf(eq_10,plain,
add(x100,additive_identity) = add(additive_inverse(X),add(x100,X)),
inference(cp,[status(thm)],[eq_2,eq_11]) ).
cnf(eq_11,plain,
add(X,add(Y,Z)) = add(Y,add(X,Z)),
inference(rw,[status(thm)],[eq_9,eq_6]) ).
cnf(eq_12,plain,
X = add(additive_inverse(Y),add(X,Y)),
inference(rw,[status(thm)],[eq_10,eq_0]) ).
cnf(eq_13,negated_conjecture,
add(multiply(x,z),multiply(additive_inverse(y),z)) != add(multiply(x,z),additive_inverse(multiply(y,z))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_5]),eq_5]),eq_4]) ).
cnf(eq_14,plain,
multiply(additive_identity,x102) = add(multiply(additive_inverse(X),x102),multiply(X,x102)),
inference(cp,[status(thm)],[eq_2,eq_4]) ).
cnf(eq_15,plain,
additive_identity = add(multiply(X,Y),multiply(additive_inverse(X),Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_1]),eq_5]) ).
cnf(eq_16,plain,
add(additive_inverse(multiply(additive_inverse(X),Y)),additive_identity) = multiply(X,Y),
inference(cp,[status(thm)],[eq_15,eq_12]) ).
cnf(eq_17,plain,
multiply(X,Y) = additive_inverse(multiply(additive_inverse(X),Y)),
inference(rw,[status(thm)],[eq_16,eq_0]) ).
cnf(eq_18,negated_conjecture,
add(multiply(x,z),additive_inverse(additive_inverse(multiply(additive_inverse(y),z)))) != add(multiply(x,z),multiply(additive_inverse(y),z)),
inference(cp,[status(thm)],[eq_17,eq_13]) ).
cnf(eq_19,negated_conjecture,
add(multiply(x,z),multiply(additive_inverse(y),z)) != add(multiply(x,z),multiply(additive_inverse(y),z)),
inference(rw,[status(thm)],[eq_18,eq_3]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG016-6 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n018.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 02:53:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.60/0.81 % SZS status Unsatisfiable
% 0.60/0.81 % SZS output start CNFRefutation for /tmp/MaedMax_24888
% See solution above
% 0.60/0.81
%------------------------------------------------------------------------------