%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL031-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n011.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 06:58:16 EDT 2022
% Result : Unsatisfiable 0.18s 0.57s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 7 RR)
% Number of literals : 11 ( 10 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(X,apply(Y,Y)) = apply(apply(l,X),Y),
file('/tmp/MaedMax_25770') ).
cnf(eq_1,axiom,
apply(X,apply(Y,X)) = apply(apply(o,Y),X),
file('/tmp/MaedMax_25770') ).
cnf(eq_2,negated_conjecture,
apply(X,f(X)) != apply(f(X),apply(X,f(X))),
file('/tmp/MaedMax_25770') ).
cnf(eq_3,plain,
apply(apply(apply(l,o),Y),x101) = apply(x101,apply(apply(Y,Y),x101)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_4,plain,
apply(X,apply(apply(Y,Y),X)) = apply(apply(apply(l,o),Y),X),
eq_3 ).
cnf(eq_5,negated_conjecture,
apply(apply(o,Y),f(Y)) != apply(Y,f(Y)),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_6,negated_conjecture,
apply(X,f(X)) != apply(apply(o,X),f(X)),
eq_5 ).
cnf(eq_7,negated_conjecture,
apply(apply(apply(apply(l,o),Y),o),f(apply(apply(Y,Y),o))) != apply(apply(apply(Y,Y),o),f(apply(apply(Y,Y),o))),
inference(cp,[status(thm)],[eq_4,eq_6]) ).
cnf(eq_8,negated_conjecture,
apply(apply(apply(X,X),o),f(apply(apply(X,X),o))) != apply(apply(apply(apply(l,o),X),o),f(apply(apply(X,X),o))),
eq_7 ).
cnf(eq_9,negated_conjecture,
apply(apply(apply(X,X),o),f(apply(apply(X,X),o))) != apply(apply(apply(X,X),o),f(apply(apply(X,X),o))),
eq_8 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COL031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n011.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 03:06:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.57 % SZS status Unsatisfiable
% 0.18/0.57 % SZS output start CNFRefutation for /tmp/MaedMax_25770
% See solution above
% 0.18/0.57
%------------------------------------------------------------------------------