%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n009.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 06:58:08 EDT 2022
% Result : Unsatisfiable 1.39s 1.57s
% Output : CNFRefutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 7 RR)
% Number of literals : 16 ( 15 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 : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(apply(X,Y),apply(Z,Y)) = apply(apply(apply(s,X),Z),Y),
file('/tmp/MaedMax_12175') ).
cnf(eq_1,axiom,
apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
file('/tmp/MaedMax_12175') ).
cnf(eq_2,axiom,
apply(apply(X,Y),Z) = apply(apply(apply(c,X),Z),Y),
file('/tmp/MaedMax_12175') ).
cnf(eq_3,axiom,
X = apply(i,X),
file('/tmp/MaedMax_12175') ).
cnf(eq_4,negated_conjecture,
X != apply(fixed_pt,X),
file('/tmp/MaedMax_12175') ).
cnf(eq_5,plain,
apply(apply(apply(apply(c,b),Z),Y),x102) = apply(Y,apply(Z,x102)),
inference(cp,[status(thm)],[eq_2,eq_1]) ).
cnf(eq_6,plain,
apply(X,apply(x102,X)) = apply(apply(apply(s,i),x102),X),
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_7,plain,
apply(X,apply(Y,X)) = apply(apply(apply(s,i),Y),X),
eq_6 ).
cnf(eq_8,plain,
apply(X,apply(Y,Z)) = apply(apply(apply(apply(c,b),Y),X),Z),
eq_5 ).
cnf(eq_9,plain,
apply(X,X) = apply(apply(apply(s,i),i),X),
inference(cp,[status(thm)],[eq_3,eq_7]) ).
cnf(eq_10,negated_conjecture,
apply(apply(apply(apply(c,b),Y),fixed_pt),Z) != apply(Y,Z),
inference(cp,[status(thm)],[eq_8,eq_4]) ).
cnf(eq_11,negated_conjecture,
apply(X,Y) != apply(apply(apply(apply(c,b),X),fixed_pt),Y),
eq_10 ).
cnf(eq_12,negated_conjecture,
apply(apply(apply(s,i),i),apply(apply(apply(c,b),x100),fixed_pt)) != apply(x100,apply(apply(apply(c,b),x100),fixed_pt)),
inference(cp,[status(thm)],[eq_9,eq_11]) ).
cnf(eq_13,negated_conjecture,
apply(X,apply(apply(apply(c,b),X),fixed_pt)) != apply(apply(apply(s,i),i),apply(apply(apply(c,b),X),fixed_pt)),
eq_12 ).
cnf(eq_14,negated_conjecture,
apply(X,apply(apply(apply(c,b),X),fixed_pt)) != apply(X,apply(apply(apply(c,b),X),fixed_pt)),
eq_13 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COL002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Jul 26 03:02:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.39/1.57 % SZS status Unsatisfiable
% 1.39/1.57 % SZS output start CNFRefutation for /tmp/MaedMax_12175
% See solution above
% 1.39/1.57
%------------------------------------------------------------------------------