TSTP Solution File: RNG017-6 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : RNG017-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n003.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 0.83s 1.04s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 32 ( 32 unt; 0 nHn; 7 RR)
% Number of literals : 32 ( 31 equ; 6 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 : 49 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = add(additive_identity,X),
file('/tmp/MaedMax_4189') ).
cnf(eq_1,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_4189') ).
cnf(eq_2,axiom,
additive_identity = multiply(additive_identity,X),
file('/tmp/MaedMax_4189') ).
cnf(eq_3,axiom,
additive_identity = add(additive_inverse(X),X),
file('/tmp/MaedMax_4189') ).
cnf(eq_4,axiom,
X = additive_inverse(additive_inverse(X)),
file('/tmp/MaedMax_4189') ).
cnf(eq_5,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_4189') ).
cnf(eq_6,axiom,
add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
file('/tmp/MaedMax_4189') ).
cnf(eq_7,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_4189') ).
cnf(eq_8,axiom,
add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/tmp/MaedMax_4189') ).
cnf(eq_9,negated_conjecture,
add(additive_inverse(multiply(x,y)),additive_inverse(multiply(x,z))) != multiply(additive_inverse(x),add(y,z)),
file('/tmp/MaedMax_4189') ).
cnf(eq_10,negated_conjecture,
add(multiply(additive_inverse(x),z),multiply(additive_inverse(x),y)) != add(additive_inverse(multiply(x,z)),additive_inverse(multiply(x,y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_7]),eq_7]),eq_5]) ).
cnf(eq_11,plain,
add(additive_identity,x102) = add(additive_inverse(X),add(X,x102)),
inference(cp,[status(thm)],[eq_3,eq_8]) ).
cnf(eq_12,plain,
add(add(Y,X),x102) = add(X,add(Y,x102)),
inference(cp,[status(thm)],[eq_7,eq_8]) ).
cnf(eq_13,plain,
multiply(additive_identity,x102) = add(multiply(additive_inverse(X),x102),multiply(X,x102)),
inference(cp,[status(thm)],[eq_3,eq_6]) ).
cnf(eq_14,plain,
add(x100,additive_identity) = add(additive_inverse(X),add(x100,X)),
inference(cp,[status(thm)],[eq_3,eq_17]) ).
cnf(eq_15,plain,
additive_identity = add(multiply(X,Y),multiply(additive_inverse(X),Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_2]),eq_7]) ).
cnf(eq_16,plain,
X = add(Y,add(additive_inverse(Y),X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_0]),eq_17]) ).
cnf(eq_17,plain,
add(X,add(Y,Z)) = add(Y,add(X,Z)),
inference(rw,[status(thm)],[eq_12,eq_8]) ).
cnf(eq_18,plain,
X = add(additive_inverse(Y),add(X,Y)),
inference(rw,[status(thm)],[eq_14,eq_1]) ).
cnf(eq_19,plain,
add(additive_inverse(add(X,Y)),X) = additive_inverse(Y),
inference(cp,[status(thm)],[eq_18,eq_18]) ).
cnf(eq_20,plain,
add(additive_inverse(multiply(additive_inverse(X),Y)),additive_identity) = multiply(X,Y),
inference(cp,[status(thm)],[eq_15,eq_18]) ).
cnf(eq_21,plain,
multiply(X,Y) = additive_inverse(multiply(additive_inverse(X),Y)),
inference(rw,[status(thm)],[eq_20,eq_1]) ).
cnf(eq_22,plain,
add(X,additive_inverse(add(X,Y))) = additive_inverse(Y),
inference(rw,[status(thm)],[eq_19,eq_7]) ).
cnf(eq_23,plain,
add(additive_inverse(Y),additive_inverse(X)) = additive_inverse(add(X,Y)),
inference(cp,[status(thm)],[eq_18,eq_22]) ).
cnf(eq_24,plain,
add(additive_inverse(X),additive_inverse(Y)) = additive_inverse(add(Y,X)),
eq_23 ).
cnf(eq_25,negated_conjecture,
add(add(X,additive_inverse(add(X,multiply(x,z)))),additive_inverse(multiply(x,y))) != add(multiply(additive_inverse(x),z),multiply(additive_inverse(x),y)),
inference(cp,[status(thm)],[eq_22,eq_10]) ).
cnf(eq_26,negated_conjecture,
add(X,add(additive_inverse(add(X,multiply(x,z))),additive_inverse(multiply(x,y)))) != multiply(additive_inverse(x),add(z,y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_8]),eq_5]) ).
cnf(eq_27,plain,
additive_inverse(multiply(X,Y)) = multiply(additive_inverse(X),Y),
inference(cp,[status(thm)],[eq_21,eq_4]) ).
cnf(eq_28,plain,
multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)),
eq_27 ).
cnf(eq_29,negated_conjecture,
add(X,add(additive_inverse(add(multiply(x,z),X)),additive_inverse(multiply(x,y)))) != multiply(additive_inverse(x),add(z,y)),
inference(cp,[status(thm)],[eq_7,eq_26]) ).
cnf(eq_30,negated_conjecture,
add(additive_inverse(multiply(x,y)),additive_inverse(multiply(x,z))) != add(additive_inverse(multiply(x,y)),additive_inverse(multiply(x,z))),
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_29,eq_24]),eq_8]),eq_7]),eq_16]),eq_7]),eq_28]),eq_5]),eq_24]),eq_7]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG017-6 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 02:53:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.83/1.04 % SZS status Unsatisfiable
% 0.83/1.04 % SZS output start CNFRefutation for /tmp/MaedMax_4189
% See solution above
% 0.83/1.04
%------------------------------------------------------------------------------