TSTP Solution File: RNG025-5 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : RNG025-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n009.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 07:11:48 EDT 2022
% Result : Unsatisfiable 1.53s 1.78s
% Output : CNFRefutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of clauses : 53 ( 53 unt; 0 nHn; 12 RR)
% Number of literals : 53 ( 52 equ; 10 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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 : 105 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = add(additive_identity,X),
file('/tmp/MaedMax_23065') ).
cnf(eq_1,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_23065') ).
cnf(eq_2,axiom,
additive_identity = add(additive_inverse(X),X),
file('/tmp/MaedMax_23065') ).
cnf(eq_3,axiom,
additive_identity = add(X,additive_inverse(X)),
file('/tmp/MaedMax_23065') ).
cnf(eq_4,axiom,
X = additive_inverse(additive_inverse(X)),
file('/tmp/MaedMax_23065') ).
cnf(eq_5,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_23065') ).
cnf(eq_6,axiom,
add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
file('/tmp/MaedMax_23065') ).
cnf(eq_7,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_23065') ).
cnf(eq_8,axiom,
add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/tmp/MaedMax_23065') ).
cnf(eq_9,axiom,
multiply(X,multiply(Y,Y)) = multiply(multiply(X,Y),Y),
file('/tmp/MaedMax_23065') ).
cnf(eq_10,axiom,
add(multiply(multiply(X,Y),Z),additive_inverse(multiply(X,multiply(Y,Z)))) = associator(X,Y,Z),
file('/tmp/MaedMax_23065') ).
cnf(eq_11,axiom,
multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)),
file('/tmp/MaedMax_23065') ).
cnf(eq_12,axiom,
multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)),
file('/tmp/MaedMax_23065') ).
cnf(eq_13,negated_conjecture,
additive_identity != add(associator(x,y,z),associator(x,z,y)),
file('/tmp/MaedMax_23065') ).
cnf(eq_14,plain,
add(additive_identity,x102) = add(additive_inverse(X),add(X,x102)),
inference(cp,[status(thm)],[eq_2,eq_8]) ).
cnf(eq_15,plain,
add(add(Y,X),x102) = add(X,add(Y,x102)),
inference(cp,[status(thm)],[eq_7,eq_8]) ).
cnf(eq_16,plain,
add(additive_inverse(multiply(x100,multiply(x101,x102))),multiply(multiply(x100,x101),x102)) = associator(x100,x101,x102),
inference(cp,[status(thm)],[eq_7,eq_10]) ).
cnf(eq_17,plain,
add(multiply(multiply(x100,X),additive_inverse(Y)),additive_inverse(multiply(x100,additive_inverse(multiply(X,Y))))) = associator(x100,X,additive_inverse(Y)),
inference(cp,[status(thm)],[eq_12,eq_10]) ).
cnf(eq_18,plain,
add(X,add(Y,Z)) = add(Z,add(X,Y)),
inference(cp,[status(thm)],[eq_8,eq_7]) ).
cnf(eq_19,plain,
associator(X,Y,Z) = add(additive_inverse(multiply(X,multiply(Y,Z))),multiply(multiply(X,Y),Z)),
inference(cp,[status(thm)],[eq_10,eq_7]) ).
cnf(eq_20,plain,
add(x100,additive_identity) = add(additive_inverse(X),add(x100,X)),
inference(cp,[status(thm)],[eq_2,eq_25]) ).
cnf(eq_21,plain,
add(additive_inverse(multiply(X,multiply(Y,Z))),multiply(multiply(X,Y),Z)) = associator(X,Y,Z),
eq_16 ).
cnf(eq_22,plain,
X = add(Y,add(additive_inverse(Y),X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_0]),eq_25]) ).
cnf(eq_23,plain,
add(X,add(Y,Z)) = add(Y,add(Z,X)),
eq_18 ).
cnf(eq_24,plain,
add(multiply(X,multiply(Y,Z)),additive_inverse(multiply(multiply(X,Y),Z))) = associator(X,Y,additive_inverse(Z)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_12]),eq_12]),eq_4]),eq_7]) ).
cnf(eq_25,plain,
add(X,add(Y,Z)) = add(Y,add(X,Z)),
inference(rw,[status(thm)],[eq_15,eq_8]) ).
cnf(eq_26,plain,
X = add(additive_inverse(Y),add(X,Y)),
inference(rw,[status(thm)],[eq_20,eq_1]) ).
cnf(eq_27,plain,
add(additive_inverse(add(X,Y)),X) = additive_inverse(Y),
inference(cp,[status(thm)],[eq_26,eq_26]) ).
cnf(eq_28,plain,
add(X,additive_inverse(add(X,Y))) = additive_inverse(Y),
inference(rw,[status(thm)],[eq_27,eq_7]) ).
cnf(eq_29,plain,
add(additive_inverse(Y),additive_inverse(X)) = additive_inverse(add(X,Y)),
inference(cp,[status(thm)],[eq_26,eq_28]) ).
cnf(eq_30,plain,
add(additive_inverse(X),additive_inverse(Y)) = additive_inverse(add(Y,X)),
eq_29 ).
cnf(eq_31,plain,
add(multiply(X,multiply(Y,Y)),additive_inverse(multiply(X,multiply(Y,Y)))) = associator(X,Y,additive_inverse(Y)),
inference(cp,[status(thm)],[eq_9,eq_24]) ).
cnf(eq_32,plain,
additive_identity = associator(X,Y,additive_inverse(Y)),
inference(rw,[status(thm)],[eq_31,eq_3]) ).
cnf(eq_33,negated_conjecture,
add(associator(x,y,z),add(additive_inverse(multiply(x,multiply(z,y))),multiply(multiply(x,z),y))) != additive_identity,
inference(cp,[status(thm)],[eq_19,eq_13]) ).
cnf(eq_34,plain,
additive_inverse(associator(X,Y,Z)) = add(additive_inverse(multiply(multiply(X,Y),Z)),additive_inverse(additive_inverse(multiply(X,multiply(Y,Z))))),
inference(cp,[status(thm)],[eq_21,eq_30]) ).
cnf(eq_35,plain,
additive_inverse(associator(X,Y,additive_inverse(Z))) = add(additive_inverse(additive_inverse(multiply(multiply(X,Y),Z))),additive_inverse(multiply(X,multiply(Y,Z)))),
inference(cp,[status(thm)],[eq_24,eq_30]) ).
cnf(eq_36,plain,
associator(x100,add(Y,X),add(additive_inverse(X),additive_inverse(Y))) = additive_identity,
inference(cp,[status(thm)],[eq_30,eq_32]) ).
cnf(eq_37,plain,
additive_inverse(associator(X,Y,additive_inverse(Z))) = associator(X,Y,Z),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_4]),eq_10]) ).
cnf(eq_38,plain,
additive_identity = associator(X,add(Y,Z),add(additive_inverse(Z),additive_inverse(Y))),
eq_36 ).
cnf(eq_39,plain,
additive_inverse(associator(X,Y,Z)) = associator(X,Y,additive_inverse(Z)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_4]),eq_7]),eq_24]) ).
cnf(eq_40,negated_conjecture,
add(additive_inverse(associator(x,y,additive_inverse(z))),add(additive_inverse(multiply(x,multiply(z,y))),multiply(multiply(x,z),y))) != additive_identity,
inference(cp,[status(thm)],[eq_37,eq_33]) ).
cnf(eq_41,negated_conjecture,
additive_identity != add(additive_inverse(associator(x,y,additive_inverse(z))),associator(x,z,y)),
inference(rw,[status(thm)],[eq_40,eq_21]) ).
cnf(eq_42,plain,
associator(x100,add(x101,additive_inverse(X)),add(X,additive_inverse(x101))) = additive_identity,
inference(cp,[status(thm)],[eq_4,eq_38]) ).
cnf(eq_43,plain,
additive_identity = associator(X,add(Y,additive_inverse(Z)),add(Z,additive_inverse(Y))),
eq_42 ).
cnf(eq_44,plain,
associator(x100,add(x101,additive_inverse(X)),add(additive_inverse(x101),X)) = additive_identity,
inference(cp,[status(thm)],[eq_7,eq_43]) ).
cnf(eq_45,plain,
additive_identity = associator(X,add(Y,additive_inverse(Z)),add(additive_inverse(Y),Z)),
eq_44 ).
cnf(eq_46,negated_conjecture,
associator(X,add(Y,additive_inverse(Z)),add(additive_inverse(Y),Z)) != add(additive_inverse(associator(x,y,additive_inverse(z))),associator(x,z,y)),
inference(cp,[status(thm)],[eq_45,eq_41]) ).
cnf(eq_47,negated_conjecture,
add(associator(x,y,z),associator(x,z,y)) != associator(X,add(Y,additive_inverse(Z)),add(additive_inverse(Y),Z)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_39]),eq_4]) ).
cnf(eq_48,negated_conjecture,
add(additive_inverse(multiply(X,multiply(Y,Z))),add(multiply(X,multiply(Y,Y)),add(additive_inverse(multiply(X,multiply(Z,Y))),add(multiply(multiply(X,Z),Y),add(additive_inverse(multiply(X,multiply(Y,Y))),multiply(multiply(X,Y),Z)))))) != add(additive_inverse(multiply(x,multiply(y,z))),add(multiply(multiply(x,y),z),add(additive_inverse(multiply(x,multiply(z,y))),multiply(multiply(x,z),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)],[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)],[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_19]),eq_19]),eq_8]),eq_19]),eq_6]),eq_5]),eq_5]),eq_11]),eq_12]),eq_12]),eq_5]),eq_6]),eq_12]),eq_5]),eq_11]),eq_30]),eq_12]),eq_5]),eq_4]),eq_9]),eq_12]),eq_9]),eq_8]),eq_7]),eq_5]),eq_30]),eq_12]),eq_5]),eq_4]),eq_5]),eq_7]),eq_12]),eq_8]),eq_30]),eq_30]),eq_4]),eq_30]),eq_4]),eq_8]),eq_8]),eq_8]),eq_8]),eq_8]),eq_8]),eq_22]) ).
cnf(eq_49,negated_conjecture,
add(additive_inverse(multiply(x100,multiply(x101,x102))),add(multiply(x100,multiply(x101,x101)),add(add(additive_inverse(multiply(x100,multiply(x101,x101))),multiply(multiply(x100,x101),x102)),add(additive_inverse(multiply(x100,multiply(x102,x101))),multiply(multiply(x100,x102),x101))))) != add(additive_inverse(multiply(x,multiply(y,z))),add(multiply(multiply(x,y),z),add(additive_inverse(multiply(x,multiply(z,y))),multiply(multiply(x,z),y)))),
inference(cp,[status(thm)],[eq_23,eq_48]) ).
cnf(eq_50,negated_conjecture,
add(additive_inverse(multiply(X,multiply(Y,Z))),add(multiply(multiply(X,Y),Z),add(additive_inverse(multiply(X,multiply(Z,Y))),multiply(multiply(X,Z),Y)))) != add(additive_inverse(multiply(x,multiply(y,z))),add(multiply(multiply(x,y),z),add(additive_inverse(multiply(x,multiply(z,y))),multiply(multiply(x,z),y)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_49,eq_8]),eq_22]) ).
cnf(eq_51,negated_conjecture,
add(additive_inverse(multiply(X,multiply(Y,Z))),add(multiply(multiply(X,Y),Z),add(additive_inverse(multiply(X,multiply(Z,Y))),multiply(multiply(X,Z),Y)))) != add(additive_inverse(multiply(X,multiply(Y,Z))),add(multiply(multiply(X,Y),Z),add(additive_inverse(multiply(X,multiply(Z,Y))),multiply(multiply(X,Z),Y)))),
eq_50 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : RNG025-5 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : run_maedmax %d %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Jul 26 02:52:06 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.53/1.78 % SZS status Unsatisfiable
% 1.53/1.78 % SZS output start CNFRefutation for /tmp/MaedMax_23065
% See solution above
% 1.53/1.78
%------------------------------------------------------------------------------