%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL032-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n005.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 0.49s
% 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(X,X) = apply(m,X),
file('/tmp/MaedMax_16577') ).
cnf(eq_1,axiom,
apply(X,apply(Y,Z)) = apply(apply(apply(q,Y),X),Z),
file('/tmp/MaedMax_16577') ).
cnf(eq_2,negated_conjecture,
apply(X,f(X)) != apply(f(X),apply(X,f(X))),
file('/tmp/MaedMax_16577') ).
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(f(apply(apply(q,Y),X)),apply(X,apply(Y,f(apply(apply(q,Y),X))))) != apply(apply(apply(q,Y),X),f(apply(apply(q,Y),X))),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_5,negated_conjecture,
apply(X,apply(Y,f(apply(apply(q,Y),X)))) != apply(f(apply(apply(q,Y),X)),apply(X,apply(Y,f(apply(apply(q,Y),X))))),
inference(rw,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_6,negated_conjecture,
apply(m,apply(apply(q,Y),f(apply(apply(q,apply(q,Y)),Y)))) != apply(Y,apply(apply(q,Y),f(apply(apply(q,apply(q,Y)),Y)))),
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_7,negated_conjecture,
apply(X,apply(apply(q,X),f(apply(apply(q,apply(q,X)),X)))) != apply(m,apply(apply(q,X),f(apply(apply(q,apply(q,X)),X)))),
eq_6 ).
cnf(eq_8,negated_conjecture,
apply(X,apply(apply(q,X),f(apply(apply(q,apply(q,X)),X)))) != apply(X,apply(apply(q,X),f(apply(apply(q,apply(q,X)),X)))),
eq_7 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL032-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n005.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 03:03:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % SZS status Unsatisfiable
% 0.18/0.49 % SZS output start CNFRefutation for /tmp/MaedMax_16577
% See solution above
% 0.18/0.49
%------------------------------------------------------------------------------