TSTP Solution File: RNG020-7 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : RNG020-7 : TPTP v8.1.0. Released v1.0.0.
% 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 07:11:47 EDT 2022
% Result : Unsatisfiable 0.39s 0.62s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% 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 : 11 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_994') ).
cnf(eq_1,axiom,
additive_identity = add(additive_inverse(X),X),
file('/tmp/MaedMax_994') ).
cnf(eq_2,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_994') ).
cnf(eq_3,axiom,
add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
file('/tmp/MaedMax_994') ).
cnf(eq_4,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_994') ).
cnf(eq_5,axiom,
add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/tmp/MaedMax_994') ).
cnf(eq_6,axiom,
add(multiply(multiply(X,Y),Z),additive_inverse(multiply(X,multiply(Y,Z)))) = associator(X,Y,Z),
file('/tmp/MaedMax_994') ).
cnf(eq_7,negated_conjecture,
add(associator(x,u,y),associator(x,v,y)) != associator(x,add(u,v),y),
file('/tmp/MaedMax_994') ).
cnf(eq_8,plain,
add(add(Y,X),x102) = add(X,add(Y,x102)),
inference(cp,[status(thm)],[eq_4,eq_5]) ).
cnf(eq_9,plain,
add(x100,additive_identity) = add(additive_inverse(X),add(x100,X)),
inference(cp,[status(thm)],[eq_1,eq_10]) ).
cnf(eq_10,plain,
add(X,add(Y,Z)) = add(Y,add(X,Z)),
inference(rw,[status(thm)],[eq_8,eq_5]) ).
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(additive_inverse(add(multiply(x,multiply(u,y)),multiply(x,multiply(v,y)))),add(multiply(multiply(x,u),y),multiply(multiply(x,v),y))) != add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),add(multiply(multiply(x,u),y),multiply(multiply(x,v),y)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_6]),eq_6]),eq_4]),eq_4]),eq_5]),eq_10]),eq_6]),eq_2]),eq_3]),eq_3]),eq_2]),eq_5]),eq_4]),eq_10]) ).
cnf(eq_13,plain,
add(additive_inverse(add(X,Y)),X) = additive_inverse(Y),
inference(cp,[status(thm)],[eq_11,eq_11]) ).
cnf(eq_14,plain,
add(X,additive_inverse(add(X,Y))) = additive_inverse(Y),
inference(rw,[status(thm)],[eq_13,eq_4]) ).
cnf(eq_15,plain,
add(additive_inverse(Y),additive_inverse(X)) = additive_inverse(add(X,Y)),
inference(cp,[status(thm)],[eq_11,eq_14]) ).
cnf(eq_16,plain,
add(additive_inverse(X),additive_inverse(Y)) = additive_inverse(add(Y,X)),
eq_15 ).
cnf(eq_17,negated_conjecture,
add(add(additive_inverse(multiply(x,multiply(v,y))),additive_inverse(multiply(x,multiply(u,y)))),add(multiply(multiply(x,u),y),multiply(multiply(x,v),y))) != add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),add(multiply(multiply(x,u),y),multiply(multiply(x,v),y)))),
inference(cp,[status(thm)],[eq_16,eq_12]) ).
cnf(eq_18,negated_conjecture,
add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),add(multiply(multiply(x,u),y),multiply(multiply(x,v),y)))) != add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),add(multiply(multiply(x,u),y),multiply(multiply(x,v),y)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_4]),eq_5]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG020-7 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n008.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 02:47:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.39/0.62 % SZS status Unsatisfiable
% 0.39/0.62 % SZS output start CNFRefutation for /tmp/MaedMax_994
% See solution above
% 0.39/0.62
%------------------------------------------------------------------------------