TSTP Solution File: RNG008-3 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : RNG008-3 : 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 07:11:45 EDT 2022
% Result : Unsatisfiable 0.79s 1.02s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of clauses : 39 ( 39 unt; 0 nHn; 6 RR)
% Number of literals : 39 ( 38 equ; 3 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 : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 63 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = add(additive_identity,X),
file('/tmp/MaedMax_5973') ).
cnf(eq_1,axiom,
additive_identity = add(additive_inverse(X),X),
file('/tmp/MaedMax_5973') ).
cnf(eq_2,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_5973') ).
cnf(eq_3,axiom,
add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
file('/tmp/MaedMax_5973') ).
cnf(eq_4,axiom,
X = additive_inverse(additive_inverse(X)),
file('/tmp/MaedMax_5973') ).
cnf(eq_5,axiom,
additive_inverse(multiply(X,Y)) = multiply(X,additive_inverse(Y)),
file('/tmp/MaedMax_5973') ).
cnf(eq_6,axiom,
additive_inverse(multiply(X,Y)) = multiply(additive_inverse(X),Y),
file('/tmp/MaedMax_5973') ).
cnf(eq_7,axiom,
add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/tmp/MaedMax_5973') ).
cnf(eq_8,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_5973') ).
cnf(eq_9,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_5973') ).
cnf(eq_10,axiom,
X = multiply(X,X),
file('/tmp/MaedMax_5973') ).
cnf(eq_11,axiom,
multiply(a,b) = c,
file('/tmp/MaedMax_5973') ).
cnf(eq_12,negated_conjecture,
multiply(b,a) != c,
file('/tmp/MaedMax_5973') ).
cnf(eq_13,plain,
add(add(Y,X),x102) = add(X,add(Y,x102)),
inference(cp,[status(thm)],[eq_8,eq_7]) ).
cnf(eq_14,plain,
add(additive_identity,x102) = add(additive_inverse(X),add(X,x102)),
inference(cp,[status(thm)],[eq_1,eq_7]) ).
cnf(eq_15,plain,
add(x100,add(Y,add(X,Z))) = add(X,add(x100,add(Y,Z))),
inference(cp,[status(thm)],[eq_18,eq_18]) ).
cnf(eq_16,plain,
add(x100,additive_identity) = add(additive_inverse(X),add(x100,X)),
inference(cp,[status(thm)],[eq_1,eq_18]) ).
cnf(eq_17,plain,
add(X,add(Y,add(Z,x3))) = add(Y,add(Z,add(X,x3))),
eq_15 ).
cnf(eq_18,plain,
add(X,add(Y,Z)) = add(Y,add(X,Z)),
inference(rw,[status(thm)],[eq_13,eq_7]) ).
cnf(eq_19,plain,
X = add(additive_inverse(Y),add(X,Y)),
inference(rw,[status(thm)],[eq_16,eq_9]) ).
cnf(eq_20,plain,
X = add(Y,add(additive_inverse(Y),X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_0]),eq_18]) ).
cnf(eq_21,plain,
additive_inverse(multiply(additive_inverse(Y),Y)) = additive_inverse(Y),
inference(cp,[status(thm)],[eq_5,eq_10]) ).
cnf(eq_22,plain,
X = additive_inverse(X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_6]),eq_10]),eq_4]) ).
cnf(eq_23,plain,
X = add(Y,add(Y,X)),
inference(rw,[status(thm)],[eq_20,eq_22]) ).
cnf(eq_24,plain,
X = add(Y,add(X,Y)),
inference(rw,[status(thm)],[eq_19,eq_22]) ).
cnf(eq_25,plain,
additive_identity = add(X,X),
inference(rw,[status(thm)],[eq_1,eq_22]) ).
cnf(eq_26,plain,
add(x101,x102) = add(multiply(add(x101,x102),x101),multiply(add(x101,x102),x102)),
inference(cp,[status(thm)],[eq_10,eq_2]) ).
cnf(eq_27,plain,
add(x100,X) = add(Y,add(x100,add(Y,X))),
inference(cp,[status(thm)],[eq_23,eq_17]) ).
cnf(eq_28,plain,
add(X,Y) = add(Z,add(X,add(Z,Y))),
eq_27 ).
cnf(eq_29,plain,
add(X,Y) = add(X,add(Y,add(multiply(Y,X),multiply(X,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)],[eq_26,eq_3]),eq_3]),eq_10]),eq_10]),eq_8]),eq_7]),eq_18]) ).
cnf(eq_30,plain,
add(Y,add(X,Y)) = add(X,add(multiply(Y,X),multiply(X,Y))),
inference(cp,[status(thm)],[eq_29,eq_28]) ).
cnf(eq_31,plain,
X = add(X,add(multiply(Y,X),multiply(X,Y))),
inference(rw,[status(thm)],[eq_30,eq_24]) ).
cnf(eq_32,plain,
add(X,X) = add(multiply(Y,X),multiply(X,Y)),
inference(cp,[status(thm)],[eq_31,eq_23]) ).
cnf(eq_33,plain,
additive_identity = add(multiply(X,Y),multiply(Y,X)),
inference(rw,[status(thm)],[eq_32,eq_25]) ).
cnf(eq_34,plain,
add(multiply(X,Y),additive_identity) = multiply(Y,X),
inference(cp,[status(thm)],[eq_33,eq_23]) ).
cnf(eq_35,plain,
multiply(X,Y) = multiply(Y,X),
inference(rw,[status(thm)],[eq_34,eq_9]) ).
cnf(eq_36,negated_conjecture,
multiply(a,b) != c,
inference(cp,[status(thm)],[eq_35,eq_12]) ).
cnf(eq_37,negated_conjecture,
c != c,
inference(rw,[status(thm)],[eq_36,eq_11]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG008-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n013.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 02:51:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.79/1.02 % SZS status Unsatisfiable
% 0.79/1.02 % SZS output start CNFRefutation for /tmp/MaedMax_5973
% See solution above
% 0.79/1.02
%------------------------------------------------------------------------------