TSTP Solution File: RNG015-6 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : RNG015-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n022.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 0.62s 0.82s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 5 RR)
% Number of literals : 20 ( 19 equ; 4 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_29226') ).
cnf(eq_1,axiom,
additive_identity = multiply(X,additive_identity),
file('/tmp/MaedMax_29226') ).
cnf(eq_2,axiom,
additive_identity = add(additive_inverse(X),X),
file('/tmp/MaedMax_29226') ).
cnf(eq_3,axiom,
X = additive_inverse(additive_inverse(X)),
file('/tmp/MaedMax_29226') ).
cnf(eq_4,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_29226') ).
cnf(eq_5,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_29226') ).
cnf(eq_6,axiom,
add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/tmp/MaedMax_29226') ).
cnf(eq_7,negated_conjecture,
add(multiply(x,y),additive_inverse(multiply(x,z))) != multiply(x,add(y,additive_inverse(z))),
file('/tmp/MaedMax_29226') ).
cnf(eq_8,plain,
add(add(Y,X),x102) = add(X,add(Y,x102)),
inference(cp,[status(thm)],[eq_5,eq_6]) ).
cnf(eq_9,plain,
add(x100,additive_identity) = add(additive_inverse(X),add(x100,X)),
inference(cp,[status(thm)],[eq_2,eq_10]) ).
cnf(eq_10,plain,
add(X,add(Y,Z)) = add(Y,add(X,Z)),
inference(rw,[status(thm)],[eq_8,eq_6]) ).
cnf(eq_11,plain,
X = add(additive_inverse(Y),add(X,Y)),
inference(rw,[status(thm)],[eq_9,eq_0]) ).
cnf(eq_12,negated_conjecture,
add(multiply(x,y),multiply(x,additive_inverse(z))) != add(multiply(x,y),additive_inverse(multiply(x,z))),
inference(rw,[status(thm)],[eq_7,eq_4]) ).
cnf(eq_13,plain,
multiply(x100,additive_identity) = add(multiply(x100,additive_inverse(X)),multiply(x100,X)),
inference(cp,[status(thm)],[eq_2,eq_4]) ).
cnf(eq_14,plain,
additive_identity = add(multiply(X,Y),multiply(X,additive_inverse(Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_1]),eq_5]) ).
cnf(eq_15,plain,
add(additive_inverse(multiply(X,additive_inverse(Y))),additive_identity) = multiply(X,Y),
inference(cp,[status(thm)],[eq_14,eq_11]) ).
cnf(eq_16,plain,
multiply(X,Y) = additive_inverse(multiply(X,additive_inverse(Y))),
inference(rw,[status(thm)],[eq_15,eq_0]) ).
cnf(eq_17,negated_conjecture,
add(multiply(x,y),additive_inverse(additive_inverse(multiply(x,additive_inverse(z))))) != add(multiply(x,y),multiply(x,additive_inverse(z))),
inference(cp,[status(thm)],[eq_16,eq_12]) ).
cnf(eq_18,negated_conjecture,
add(multiply(x,y),multiply(x,additive_inverse(z))) != add(multiply(x,y),multiply(x,additive_inverse(z))),
inference(rw,[status(thm)],[eq_17,eq_3]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG015-6 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 03:37:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.62/0.82 % SZS status Unsatisfiable
% 0.62/0.82 % SZS output start CNFRefutation for /tmp/MaedMax_29226
% See solution above
% 0.62/0.82
%------------------------------------------------------------------------------