%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL009-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n007.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 06:58:13 EDT 2022
% Result : Unsatisfiable 2.16s 2.39s
% Output : CNFRefutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 10 RR)
% Number of literals : 16 ( 15 equ; 9 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
file('/tmp/MaedMax_15315') ).
cnf(eq_1,axiom,
apply(X,apply(Y,Y)) = apply(apply(l2,Y),X),
file('/tmp/MaedMax_15315') ).
cnf(eq_2,negated_conjecture,
X != apply(combinator,X),
file('/tmp/MaedMax_15315') ).
cnf(eq_3,plain,
apply(X,apply(Y,apply(x101,x101))) = apply(apply(l2,x101),apply(apply(b,X),Y)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_4,plain,
apply(x100,apply(X,apply(Y,apply(apply(b,X),Y)))) = apply(apply(l2,apply(apply(b,X),Y)),x100),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_5,plain,
apply(X,apply(Y,apply(Z,apply(apply(b,Y),Z)))) = apply(apply(l2,apply(apply(b,Y),Z)),X),
eq_4 ).
cnf(eq_6,plain,
apply(X,apply(Y,apply(Z,Z))) = apply(apply(l2,Z),apply(apply(b,X),Y)),
eq_3 ).
cnf(eq_7,negated_conjecture,
apply(apply(apply(b,combinator),Y),Z) != apply(Y,Z),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_8,negated_conjecture,
apply(X,Y) != apply(combinator,apply(X,Y)),
inference(rw,[status(thm)],[eq_7,eq_0]) ).
cnf(eq_9,negated_conjecture,
apply(combinator,apply(X,apply(Y,Y))) != apply(apply(l2,Y),X),
inference(cp,[status(thm)],[eq_1,eq_8]) ).
cnf(eq_10,negated_conjecture,
apply(apply(l2,X),Y) != apply(combinator,apply(Y,apply(X,X))),
eq_9 ).
cnf(eq_11,negated_conjecture,
apply(apply(l2,Z),apply(apply(b,combinator),Y)) != apply(apply(l2,Z),Y),
inference(cp,[status(thm)],[eq_6,eq_10]) ).
cnf(eq_12,negated_conjecture,
apply(apply(l2,X),Y) != apply(apply(l2,X),apply(apply(b,combinator),Y)),
eq_11 ).
cnf(eq_13,negated_conjecture,
apply(X,apply(Y,apply(Z,apply(apply(b,Y),Z)))) != apply(apply(l2,apply(apply(b,Y),Z)),apply(apply(b,combinator),X)),
inference(cp,[status(thm)],[eq_5,eq_12]) ).
cnf(eq_14,negated_conjecture,
apply(X,apply(Y,apply(Z,apply(apply(b,Y),Z)))) != apply(X,apply(Y,apply(Z,apply(apply(b,Y),Z)))),
eq_13 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n007.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 02:52:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.16/2.39 % SZS status Unsatisfiable
% 2.16/2.39 % SZS output start CNFRefutation for /tmp/MaedMax_15315
% See solution above
% 2.16/2.39
%------------------------------------------------------------------------------