TSTP Solution File: BOO004-4 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO004-4 : TPTP v8.1.0. Released v1.1.0.
% 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 06:57:42 EDT 2022
% Result : Unsatisfiable 0.38s 0.56s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 8 RR)
% Number of literals : 20 ( 19 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_10067') ).
cnf(eq_1,axiom,
multiply(X,Y) = multiply(Y,X),
file('/tmp/MaedMax_10067') ).
cnf(eq_2,axiom,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/tmp/MaedMax_10067') ).
cnf(eq_3,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_10067') ).
cnf(eq_4,axiom,
X = multiply(X,multiplicative_identity),
file('/tmp/MaedMax_10067') ).
cnf(eq_5,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('/tmp/MaedMax_10067') ).
cnf(eq_6,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/tmp/MaedMax_10067') ).
cnf(eq_7,negated_conjecture,
add(a,a) != a,
file('/tmp/MaedMax_10067') ).
cnf(eq_8,plain,
multiply(inverse(X),X) = additive_identity,
inference(cp,[status(thm)],[eq_1,eq_6]) ).
cnf(eq_9,plain,
multiply(add(X,x101),multiplicative_identity) = add(X,multiply(x101,inverse(X))),
inference(cp,[status(thm)],[eq_5,eq_2]) ).
cnf(eq_10,plain,
X = add(additive_identity,X),
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_11,plain,
add(X,Y) = add(X,multiply(Y,inverse(X))),
inference(rw,[status(thm)],[eq_9,eq_4]) ).
cnf(eq_12,plain,
additive_identity = inverse(multiplicative_identity),
inference(cp,[status(thm)],[eq_8,eq_4]) ).
cnf(eq_13,negated_conjecture,
add(a,multiply(a,inverse(a))) != a,
inference(cp,[status(thm)],[eq_11,eq_7]) ).
cnf(eq_14,negated_conjecture,
add(a,additive_identity) != a,
inference(rw,[status(thm)],[eq_13,eq_6]) ).
cnf(eq_15,plain,
X = add(inverse(multiplicative_identity),X),
inference(rw,[status(thm)],[eq_10,eq_12]) ).
cnf(eq_16,negated_conjecture,
add(a,inverse(multiplicative_identity)) != a,
inference(rw,[status(thm)],[eq_14,eq_12]) ).
cnf(eq_17,negated_conjecture,
add(inverse(multiplicative_identity),a) != a,
inference(cp,[status(thm)],[eq_0,eq_16]) ).
cnf(eq_18,negated_conjecture,
a != a,
inference(cp,[status(thm)],[eq_15,eq_17]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO004-4 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 03:25:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.38/0.56 % SZS status Unsatisfiable
% 0.38/0.56 % SZS output start CNFRefutation for /tmp/MaedMax_10067
% See solution above
% 0.38/0.56
%------------------------------------------------------------------------------