%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO016-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n017.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 06:57:47 EDT 2022
% Result : Unsatisfiable 0.36s 0.56s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 22 unt; 0 nHn; 8 RR)
% Number of literals : 22 ( 21 equ; 5 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_25179') ).
cnf(eq_1,axiom,
multiply(X,Y) = multiply(Y,X),
file('/tmp/MaedMax_25179') ).
cnf(eq_2,axiom,
add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
file('/tmp/MaedMax_25179') ).
cnf(eq_3,axiom,
add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
file('/tmp/MaedMax_25179') ).
cnf(eq_4,axiom,
add(inverse(X),X) = multiplicative_identity,
file('/tmp/MaedMax_25179') ).
cnf(eq_5,axiom,
X = multiply(X,multiplicative_identity),
file('/tmp/MaedMax_25179') ).
cnf(eq_6,axiom,
X = multiply(multiplicative_identity,X),
file('/tmp/MaedMax_25179') ).
cnf(eq_7,axiom,
multiply(x,y) = z,
file('/tmp/MaedMax_25179') ).
cnf(eq_8,negated_conjecture,
add(x,z) != x,
file('/tmp/MaedMax_25179') ).
cnf(eq_9,plain,
add(X,multiply(x102,X)) = multiply(add(multiplicative_identity,x102),X),
inference(cp,[status(thm)],[eq_6,eq_3]) ).
cnf(eq_10,plain,
multiply(multiplicative_identity,add(x102,X)) = add(multiply(inverse(X),x102),X),
inference(cp,[status(thm)],[eq_4,eq_2]) ).
cnf(eq_11,plain,
add(X,Y) = add(multiply(inverse(Y),X),Y),
inference(rw,[status(thm)],[eq_10,eq_6]) ).
cnf(eq_12,plain,
add(X,multiply(Y,X)) = multiply(add(multiplicative_identity,Y),X),
eq_9 ).
cnf(eq_13,negated_conjecture,
add(z,x) != x,
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_14,negated_conjecture,
add(multiply(x,y),x) != x,
inference(rw,[status(thm)],[eq_13,eq_7]) ).
cnf(eq_15,plain,
add(inverse(x100),x100) = add(multiplicative_identity,x100),
inference(cp,[status(thm)],[eq_5,eq_11]) ).
cnf(eq_16,plain,
add(multiplicative_identity,X) = multiplicative_identity,
inference(rw,[status(thm)],[eq_15,eq_4]) ).
cnf(eq_17,negated_conjecture,
add(multiply(y,x),x) != x,
inference(cp,[status(thm)],[eq_1,eq_14]) ).
cnf(eq_18,plain,
add(multiply(x101,Y),Y) = multiply(add(multiplicative_identity,x101),Y),
inference(cp,[status(thm)],[eq_0,eq_12]) ).
cnf(eq_19,plain,
X = add(multiply(Y,X),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_16]),eq_6]) ).
cnf(eq_20,negated_conjecture,
x != x,
inference(cp,[status(thm)],[eq_19,eq_17]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : BOO016-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n017.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 02:45:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.36/0.56 % SZS status Unsatisfiable
% 0.36/0.56 % SZS output start CNFRefutation for /tmp/MaedMax_25179
% See solution above
% 0.36/0.56
%------------------------------------------------------------------------------