%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL037-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n006.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 9.62s 9.85s
% Output : CNFRefutation 9.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 18 ( 18 unt; 0 nHn; 9 RR)
% Number of literals : 18 ( 17 equ; 8 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(apply(X,Y),apply(Z,Y)) = apply(apply(apply(s,X),Z),Y),
file('/tmp/MaedMax_11713') ).
cnf(eq_1,axiom,
apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
file('/tmp/MaedMax_11713') ).
cnf(eq_2,axiom,
apply(apply(X,Y),Z) = apply(apply(apply(c,X),Z),Y),
file('/tmp/MaedMax_11713') ).
cnf(eq_3,negated_conjecture,
apply(X,f(X)) != apply(f(X),apply(X,f(X))),
file('/tmp/MaedMax_11713') ).
cnf(eq_4,plain,
apply(apply(apply(apply(s,b),Z),Y),x102) = apply(Y,apply(apply(Z,Y),x102)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_5,plain,
apply(apply(apply(s,apply(c,x100)),Z),Y) = apply(apply(x100,apply(Z,Y)),Y),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_6,plain,
apply(apply(X,apply(Y,Z)),Z) = apply(apply(apply(s,apply(c,X)),Y),Z),
eq_5 ).
cnf(eq_7,plain,
apply(X,apply(apply(Y,X),Z)) = apply(apply(apply(apply(s,b),Y),X),Z),
eq_4 ).
cnf(eq_8,negated_conjecture,
apply(f(apply(apply(c,X),Z)),apply(apply(X,f(apply(apply(c,X),Z))),Z)) != apply(apply(apply(c,X),Z),f(apply(apply(c,X),Z))),
inference(cp,[status(thm)],[eq_2,eq_3]) ).
cnf(eq_9,negated_conjecture,
apply(apply(X,f(apply(apply(c,X),Y))),Y) != apply(f(apply(apply(c,X),Y)),apply(apply(X,f(apply(apply(c,X),Y))),Y)),
inference(rw,[status(thm)],[eq_8,eq_2]) ).
cnf(eq_10,plain,
apply(apply(apply(apply(s,apply(c,c)),Y),Z),x102) = apply(apply(apply(Y,Z),x102),Z),
inference(cp,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_11,plain,
apply(apply(apply(X,Y),Z),Y) = apply(apply(apply(apply(s,apply(c,c)),X),Y),Z),
eq_10 ).
cnf(eq_12,negated_conjecture,
apply(apply(apply(apply(s,b),Y),f(apply(apply(c,Y),Z))),Z) != apply(apply(Y,f(apply(apply(c,Y),Z))),Z),
inference(cp,[status(thm)],[eq_7,eq_9]) ).
cnf(eq_13,negated_conjecture,
apply(apply(X,f(apply(apply(c,X),Y))),Y) != apply(apply(apply(apply(s,b),X),f(apply(apply(c,X),Y))),Y),
eq_12 ).
cnf(eq_14,negated_conjecture,
apply(apply(X,Y),f(apply(apply(c,apply(c,X)),Y))) != apply(apply(apply(apply(s,b),apply(c,X)),f(apply(apply(c,apply(c,X)),Y))),Y),
inference(cp,[status(thm)],[eq_2,eq_13]) ).
cnf(eq_15,negated_conjecture,
apply(apply(apply(X,Y),f(apply(apply(c,apply(c,apply(apply(s,apply(c,c)),X))),Y))),Y) != apply(apply(apply(apply(s,b),apply(c,apply(apply(s,apply(c,c)),X))),f(apply(apply(c,apply(c,apply(apply(s,apply(c,c)),X))),Y))),Y),
inference(cp,[status(thm)],[eq_11,eq_14]) ).
cnf(eq_16,negated_conjecture,
apply(apply(apply(X,Y),f(apply(apply(c,apply(c,apply(apply(s,apply(c,c)),X))),Y))),Y) != apply(apply(apply(X,Y),f(apply(apply(c,apply(c,apply(apply(s,apply(c,c)),X))),Y))),Y),
eq_15 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : COL037-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run_maedmax %d %s
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Jul 26 03:00:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 9.62/9.85 % SZS status Unsatisfiable
% 9.62/9.85 % SZS output start CNFRefutation for /tmp/MaedMax_11713
% See solution above
% 9.62/9.85
%------------------------------------------------------------------------------