%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : RNG014-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n013.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 0.66s 0.84s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 30 unt; 0 nHn; 4 RR)
% Number of literals : 30 ( 29 equ; 2 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; 5 con; 0-2 aty)
% Number of variables : 44 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = add(additive_identity,X),
file('/tmp/MaedMax_26046') ).
cnf(eq_1,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_26046') ).
cnf(eq_2,axiom,
additive_identity = multiply(additive_identity,X),
file('/tmp/MaedMax_26046') ).
cnf(eq_3,axiom,
additive_identity = multiply(X,additive_identity),
file('/tmp/MaedMax_26046') ).
cnf(eq_4,axiom,
additive_identity = add(additive_inverse(X),X),
file('/tmp/MaedMax_26046') ).
cnf(eq_5,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_26046') ).
cnf(eq_6,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_26046') ).
cnf(eq_7,axiom,
add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/tmp/MaedMax_26046') ).
cnf(eq_8,axiom,
add(multiply(X,Y),additive_inverse(multiply(Y,X))) = commutator(Y,X),
file('/tmp/MaedMax_26046') ).
cnf(eq_9,negated_conjecture,
multiply(a,additive_inverse(b)) != additive_inverse(multiply(a,b)),
file('/tmp/MaedMax_26046') ).
cnf(eq_10,plain,
add(add(Y,X),x102) = add(X,add(Y,x102)),
inference(cp,[status(thm)],[eq_6,eq_7]) ).
cnf(eq_11,plain,
add(additive_identity,additive_inverse(multiply(X,additive_identity))) = commutator(X,additive_identity),
inference(cp,[status(thm)],[eq_2,eq_8]) ).
cnf(eq_12,plain,
add(Y,add(additive_inverse(add(Y,Z)),Z)) = additive_identity,
inference(cp,[status(thm)],[eq_15,eq_4]) ).
cnf(eq_13,plain,
add(x100,additive_identity) = add(additive_inverse(X),add(x100,X)),
inference(cp,[status(thm)],[eq_4,eq_15]) ).
cnf(eq_14,plain,
additive_inverse(additive_identity) = commutator(X,additive_identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_3]),eq_0]) ).
cnf(eq_15,plain,
add(X,add(Y,Z)) = add(Y,add(X,Z)),
inference(rw,[status(thm)],[eq_10,eq_7]) ).
cnf(eq_16,plain,
additive_identity = add(X,add(Y,additive_inverse(add(X,Y)))),
inference(rw,[status(thm)],[eq_12,eq_6]) ).
cnf(eq_17,plain,
X = add(additive_inverse(Y),add(X,Y)),
inference(rw,[status(thm)],[eq_13,eq_1]) ).
cnf(eq_18,plain,
add(commutator(X,additive_identity),additive_identity) = additive_identity,
inference(cp,[status(thm)],[eq_14,eq_4]) ).
cnf(eq_19,plain,
add(additive_inverse(add(Y,additive_inverse(add(X,Y)))),additive_identity) = X,
inference(cp,[status(thm)],[eq_16,eq_17]) ).
cnf(eq_20,plain,
X = additive_inverse(add(Y,additive_inverse(add(X,Y)))),
inference(rw,[status(thm)],[eq_19,eq_1]) ).
cnf(eq_21,plain,
additive_identity = commutator(X,additive_identity),
inference(rw,[status(thm)],[eq_18,eq_1]) ).
cnf(eq_22,plain,
additive_identity = additive_inverse(additive_identity),
inference(rw,[status(thm)],[eq_14,eq_21]) ).
cnf(eq_23,plain,
multiply(x100,additive_identity) = add(multiply(x100,additive_inverse(X)),multiply(x100,X)),
inference(cp,[status(thm)],[eq_4,eq_5]) ).
cnf(eq_24,plain,
additive_identity = add(multiply(X,Y),multiply(X,additive_inverse(Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_23,eq_3]),eq_6]) ).
cnf(eq_25,plain,
additive_inverse(add(Y,additive_inverse(add(Y,X)))) = X,
inference(cp,[status(thm)],[eq_6,eq_20]) ).
cnf(eq_26,plain,
additive_inverse(add(multiply(X,Y),additive_inverse(additive_identity))) = multiply(X,additive_inverse(Y)),
inference(cp,[status(thm)],[eq_24,eq_25]) ).
cnf(eq_27,plain,
multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_22]),eq_1]) ).
cnf(eq_28,negated_conjecture,
additive_inverse(multiply(a,b)) != additive_inverse(multiply(a,b)),
inference(rw,[status(thm)],[eq_9,eq_27]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG014-6 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 26 02:39:45 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.66/0.84 % SZS status Unsatisfiable
% 0.66/0.84 % SZS output start CNFRefutation for /tmp/MaedMax_26046
% See solution above
% 0.66/0.84
%------------------------------------------------------------------------------