%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : COL061-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n007.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 06:58:21 EDT 2022

% Result   : Unsatisfiable 0.67s 0.87s
% Output   : CNFRefutation 0.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   10 (  10 unt;   0 nHn;   8 RR)
%            Number of literals    :   10 (   9 equ;   7 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   12 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
    file('/tmp/MaedMax_7765') ).

cnf(eq_1,axiom,
    apply(X,Y) = apply(apply(t,Y),X),
    file('/tmp/MaedMax_7765') ).

cnf(eq_2,negated_conjecture,
    apply(apply(apply(X,f(X)),g(X)),h(X)) != apply(f(X),apply(h(X),g(X))),
    file('/tmp/MaedMax_7765') ).

cnf(eq_3,negated_conjecture,
    apply(apply(apply(X,apply(Y,f(apply(apply(b,X),Y)))),g(apply(apply(b,X),Y))),h(apply(apply(b,X),Y))) != apply(f(apply(apply(b,X),Y)),apply(h(apply(apply(b,X),Y)),g(apply(apply(b,X),Y)))),
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_4,negated_conjecture,
    apply(apply(apply(x144,apply(x145,apply(x90,f(apply(apply(b,apply(apply(b,x144),x145)),x90))))),g(apply(apply(b,apply(apply(b,x144),x145)),x90))),h(apply(apply(b,apply(apply(b,x144),x145)),x90))) != apply(f(apply(apply(b,apply(apply(b,x144),x145)),x90)),apply(h(apply(apply(b,apply(apply(b,x144),x145)),x90)),g(apply(apply(b,apply(apply(b,x144),x145)),x90)))),
    inference(cp,[status(thm)],[eq_0,eq_3]) ).

cnf(eq_5,negated_conjecture,
    apply(apply(apply(apply(x145,apply(x90,f(apply(apply(b,apply(apply(b,apply(t,x372)),x145)),x90)))),x372),g(apply(apply(b,apply(apply(b,apply(t,x372)),x145)),x90))),h(apply(apply(b,apply(apply(b,apply(t,x372)),x145)),x90))) != apply(f(apply(apply(b,apply(apply(b,apply(t,x372)),x145)),x90)),apply(h(apply(apply(b,apply(apply(b,apply(t,x372)),x145)),x90)),g(apply(apply(b,apply(apply(b,apply(t,x372)),x145)),x90)))),
    inference(cp,[status(thm)],[eq_1,eq_4]) ).

cnf(eq_6,negated_conjecture,
    apply(apply(apply(x90,f(apply(apply(b,apply(apply(b,apply(t,x905)),b)),x90))),apply(x905,g(apply(apply(b,apply(apply(b,apply(t,x905)),b)),x90)))),h(apply(apply(b,apply(apply(b,apply(t,x905)),b)),x90))) != apply(f(apply(apply(b,apply(apply(b,apply(t,x905)),b)),x90)),apply(h(apply(apply(b,apply(apply(b,apply(t,x905)),b)),x90)),g(apply(apply(b,apply(apply(b,apply(t,x905)),b)),x90)))),
    inference(cp,[status(thm)],[eq_0,eq_5]) ).

cnf(eq_7,negated_conjecture,
    apply(f(apply(apply(b,apply(apply(b,apply(t,x905)),b)),b)),apply(apply(x905,g(apply(apply(b,apply(apply(b,apply(t,x905)),b)),b))),h(apply(apply(b,apply(apply(b,apply(t,x905)),b)),b)))) != apply(f(apply(apply(b,apply(apply(b,apply(t,x905)),b)),b)),apply(h(apply(apply(b,apply(apply(b,apply(t,x905)),b)),b)),g(apply(apply(b,apply(apply(b,apply(t,x905)),b)),b)))),
    inference(cp,[status(thm)],[eq_0,eq_6]) ).

cnf(eq_8,negated_conjecture,
    apply(f(apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),apply(h(apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),g(apply(apply(b,apply(apply(b,apply(t,t)),b)),b)))) != apply(f(apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),apply(h(apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),g(apply(apply(b,apply(apply(b,apply(t,t)),b)),b)))),
    inference(cp,[status(thm)],[eq_1,eq_7]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL061-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n007.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 02:47:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.67/0.87  % SZS status Unsatisfiable
% 0.67/0.87  % SZS output start CNFRefutation for /tmp/MaedMax_7765
% See solution above
% 0.67/0.87  
%------------------------------------------------------------------------------