%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : COL057-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n027.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 06:58:20 EDT 2022

% Result   : Unsatisfiable 12.84s 13.05s
% Output   : CNFRefutation 12.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   19 (  19 unt;   0 nHn;   9 RR)
%            Number of literals    :   19 (  18 equ;   8 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    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   33 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    apply(apply(X,Y),apply(Z,Y)) = apply(apply(apply(s,X),Z),Y),
    file('/tmp/MaedMax_12915') ).

cnf(eq_1,axiom,
    apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
    file('/tmp/MaedMax_12915') ).

cnf(eq_2,axiom,
    apply(apply(X,Y),Z) = apply(apply(apply(c,X),Z),Y),
    file('/tmp/MaedMax_12915') ).

cnf(eq_3,axiom,
    X = apply(i,X),
    file('/tmp/MaedMax_12915') ).

cnf(eq_4,negated_conjecture,
    apply(X,f(X)) != apply(f(X),apply(X,f(X))),
    file('/tmp/MaedMax_12915') ).

cnf(eq_5,plain,
    apply(X,apply(x102,X)) = apply(apply(apply(s,i),x102),X),
    inference(cp,[status(thm)],[eq_3,eq_0]) ).

cnf(eq_6,plain,
    apply(apply(x100,X),X) = apply(apply(apply(s,x100),i),X),
    inference(cp,[status(thm)],[eq_3,eq_0]) ).

cnf(eq_7,plain,
    apply(apply(X,Y),Y) = apply(apply(apply(s,X),i),Y),
    eq_6 ).

cnf(eq_8,plain,
    apply(X,apply(Y,X)) = apply(apply(apply(s,i),Y),X),
    eq_5 ).

cnf(eq_9,negated_conjecture,
    apply(f(apply(X,Y)),apply(apply(apply(c,X),f(apply(X,Y))),Y)) != apply(apply(X,Y),f(apply(X,Y))),
    inference(cp,[status(thm)],[eq_2,eq_4]) ).

cnf(eq_10,negated_conjecture,
    apply(apply(X,Y),f(apply(X,Y))) != apply(f(apply(X,Y)),apply(apply(X,Y),f(apply(X,Y)))),
    inference(rw,[status(thm)],[eq_9,eq_2]) ).

cnf(eq_11,plain,
    apply(X,apply(Z,Z)) = apply(apply(apply(s,apply(b,X)),i),Z),
    inference(cp,[status(thm)],[eq_1,eq_7]) ).

cnf(eq_12,plain,
    apply(X,apply(Y,Y)) = apply(apply(apply(s,apply(b,X)),i),Y),
    eq_11 ).

cnf(eq_13,negated_conjecture,
    apply(apply(apply(s,i),apply(x100,x101)),f(apply(x100,x101))) != apply(apply(x100,x101),f(apply(x100,x101))),
    inference(cp,[status(thm)],[eq_8,eq_10]) ).

cnf(eq_14,negated_conjecture,
    apply(apply(X,Y),f(apply(X,Y))) != apply(apply(apply(s,i),apply(X,Y)),f(apply(X,Y))),
    eq_13 ).

cnf(eq_15,negated_conjecture,
    apply(apply(apply(s,i),apply(apply(apply(s,apply(b,X)),i),Y)),f(apply(X,apply(Y,Y)))) != apply(apply(X,apply(Y,Y)),f(apply(X,apply(Y,Y)))),
    inference(cp,[status(thm)],[eq_12,eq_14]) ).

cnf(eq_16,negated_conjecture,
    apply(apply(X,apply(Y,Y)),f(apply(X,apply(Y,Y)))) != apply(apply(apply(s,i),apply(apply(apply(s,apply(b,X)),i),Y)),f(apply(X,apply(Y,Y)))),
    eq_15 ).

cnf(eq_17,negated_conjecture,
    apply(apply(X,apply(Y,Y)),f(apply(X,apply(Y,Y)))) != apply(apply(X,apply(Y,Y)),f(apply(X,apply(Y,Y)))),
    eq_16 ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : COL057-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : run_maedmax %d %s
% 0.12/0.32  % Computer : n027.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 03:15:50 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 12.84/13.05  % SZS status Unsatisfiable
% 12.84/13.05  % SZS output start CNFRefutation for /tmp/MaedMax_12915
% See solution above
% 12.84/13.05  
%------------------------------------------------------------------------------