%------------------------------------------------------------------------------
% 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  
%------------------------------------------------------------------------------