TSTP Solution File: COL058-3 by MaedMax---1.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : COL058-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n004.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 0.68s 0.88s
% Output   : CNFRefutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   16 (  16 unt;   0 nHn;   5 RR)
%            Number of literals    :   16 (  15 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    response(X1,response(X2,X2)) = response(response(lark,X1),X2),
    file('/tmp/MaedMax_1885') ).

cnf(eq_1,negated_conjecture,
    response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) != response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
    file('/tmp/MaedMax_1885') ).

cnf(eq_2,plain,
    response(x100,response(X1,response(response(lark,X1),response(lark,X1)))) = response(response(lark,x100),response(lark,X1)),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_3,plain,
    response(response(lark,response(lark,x100)),X2) = response(x100,response(response(X2,X2),response(X2,X2))),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_4,plain,
    response(response(response(lark,lark),X2),x101) = response(response(X2,X2),response(x101,x101)),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_5,plain,
    response(X1,response(X2,response(response(lark,X2),response(lark,X2)))) = response(response(lark,X1),response(lark,X2)),
    eq_2 ).

cnf(eq_6,plain,
    response(X1,response(response(X2,X2),response(X2,X2))) = response(response(lark,response(lark,X1)),X2),
    eq_3 ).

cnf(eq_7,plain,
    response(response(X1,X1),response(X2,X2)) = response(response(response(lark,lark),X1),X2),
    eq_4 ).

cnf(eq_8,plain,
    response(x100,response(response(response(lark,lark),X2),X2)) = response(response(lark,x100),response(X2,X2)),
    inference(cp,[status(thm)],[eq_7,eq_0]) ).

cnf(eq_9,plain,
    response(x100,response(response(response(lark,lark),X2),X2)) = response(response(lark,response(lark,x100)),X2),
    inference(cp,[status(thm)],[eq_7,eq_6]) ).

cnf(eq_10,plain,
    response(X1,response(response(response(lark,lark),X2),X2)) = response(response(lark,X1),response(X2,X2)),
    eq_8 ).

cnf(eq_11,plain,
    response(X1,response(response(response(lark,lark),X2),X2)) = response(response(lark,response(lark,X1)),X2),
    eq_9 ).

cnf(eq_12,negated_conjecture,
    response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
    inference(cp,[status(thm)],[eq_11,eq_1]) ).

cnf(eq_13,negated_conjecture,
    response(response(lark,response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
    inference(cp,[status(thm)],[eq_10,eq_12]) ).

cnf(eq_14,negated_conjecture,
    response(response(lark,response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) != response(response(lark,response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
    inference(cp,[status(thm)],[eq_5,eq_13]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL058-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Jul 26 03:03:06 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.68/0.88  % SZS status Unsatisfiable
% 0.68/0.88  % SZS output start CNFRefutation for /tmp/MaedMax_1885
% See solution above
% 0.68/0.88  
%------------------------------------------------------------------------------