%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL004-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n028.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 06:58:11 EDT 2022
% Result : Unsatisfiable 0.63s 0.83s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 8 RR)
% Number of literals : 14 ( 13 equ; 7 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 14 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(apply(X,Y),apply(Z,Y)) = apply(apply(apply(s,X),Z),Y),
file('/tmp/MaedMax_10483') ).
cnf(eq_1,axiom,
X = apply(apply(k,X),Y),
file('/tmp/MaedMax_10483') ).
cnf(eq_2,negated_conjecture,
apply(apply(apply(apply(s,apply(k,apply(s,apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))),x),y) != apply(y,apply(apply(x,x),y)),
file('/tmp/MaedMax_10483') ).
cnf(eq_3,plain,
X = apply(apply(apply(s,k),x102),X),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_4,plain,
apply(apply(apply(X,Y),apply(Z,Y)),apply(x102,Y)) = apply(apply(apply(s,apply(apply(s,X),Z)),x102),Y),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
X = apply(apply(apply(s,k),Y),X),
eq_3 ).
cnf(eq_6,plain,
apply(apply(apply(X,Y),apply(Z,Y)),apply(x3,Y)) = apply(apply(apply(s,apply(apply(s,X),Z)),x3),Y),
eq_4 ).
cnf(eq_7,negated_conjecture,
apply(apply(apply(apply(k,apply(s,apply(apply(s,k),k))),x),apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),x)),y) != apply(y,apply(apply(x,x),y)),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_8,negated_conjecture,
apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),x)),y) != apply(y,apply(apply(x,x),y)),
inference(rw,[status(thm)],[eq_7,eq_1]) ).
cnf(eq_9,negated_conjecture,
apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(apply(k,x),apply(k,x)),apply(apply(apply(s,k),k),x))),y) != apply(y,apply(apply(x,x),y)),
inference(cp,[status(thm)],[eq_6,eq_8]) ).
cnf(eq_10,negated_conjecture,
apply(apply(apply(s,apply(apply(s,k),k)),apply(x,x)),y) != apply(y,apply(apply(x,x),y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_1]),eq_5]) ).
cnf(eq_11,negated_conjecture,
apply(apply(apply(k,y),apply(k,y)),apply(apply(x,x),y)) != apply(y,apply(apply(x,x),y)),
inference(cp,[status(thm)],[eq_6,eq_10]) ).
cnf(eq_12,negated_conjecture,
apply(y,apply(apply(x,x),y)) != apply(y,apply(apply(x,x),y)),
inference(rw,[status(thm)],[eq_11,eq_1]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : COL004-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n028.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 03:14:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.63/0.83 % SZS status Unsatisfiable
% 0.63/0.83 % SZS output start CNFRefutation for /tmp/MaedMax_10483
% See solution above
% 0.63/0.83
%------------------------------------------------------------------------------