%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL015-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n012.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 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 9 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(X,X) = apply(m,X),
file('/tmp/MaedMax_17730') ).
cnf(eq_1,axiom,
apply(X,apply(Y,Z)) = apply(apply(apply(q,Y),X),Z),
file('/tmp/MaedMax_17730') ).
cnf(eq_2,negated_conjecture,
X != apply(combinator,X),
file('/tmp/MaedMax_17730') ).
cnf(eq_3,plain,
apply(X,apply(Y,apply(apply(q,Y),X))) = apply(m,apply(apply(q,Y),X)),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_4,negated_conjecture,
apply(apply(apply(q,Y),combinator),Z) != apply(Y,Z),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_5,negated_conjecture,
apply(X,Y) != apply(combinator,apply(X,Y)),
inference(rw,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_6,negated_conjecture,
apply(combinator,apply(m,apply(apply(q,Y),X))) != apply(X,apply(Y,apply(apply(q,Y),X))),
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_7,negated_conjecture,
apply(X,apply(Y,apply(apply(q,Y),X))) != apply(combinator,apply(m,apply(apply(q,Y),X))),
eq_6 ).
cnf(eq_8,negated_conjecture,
apply(X,apply(Y,apply(apply(q,Y),X))) != apply(X,apply(Y,apply(apply(q,Y),X))),
eq_7 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : COL015-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n012.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 02:59:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % SZS status Unsatisfiable
% 0.18/0.48 % SZS output start CNFRefutation for /tmp/MaedMax_17730
% See solution above
% 0.18/0.48
%------------------------------------------------------------------------------