%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : COL021-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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 : Thu May  9 17:17:16 EDT 2024

% Result   : Unsatisfiable 0.48s 0.66s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (   9 unt;   0 nHn;   6 RR)
%            Number of literals    :   21 (  20 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 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   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_fixed_point,negated_conjecture,
    X3 != apply(combinator,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).

cnf(b_definition,axiom,
    apply(apply(apply(b,X10),X9),X8) = apply(X10,apply(X9,X8)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).

cnf(transitivity,axiom,
    ( X15 != X14
    | X14 != X13
    | X15 = X13 ),
    theory(equality) ).

cnf(symmetry,axiom,
    ( X5 != X4
    | X4 = X5 ),
    theory(equality) ).

cnf(reflexivity,axiom,
    X2 = X2,
    theory(equality) ).

cnf(m_definition,axiom,
    apply(m,X7) = apply(X7,X7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_definition) ).

cnf(c2,plain,
    apply(X11,X11) = apply(m,X11),
    inference(resolution,[status(thm)],[m_definition,symmetry]) ).

cnf(c0,axiom,
    ( X28 != X30
    | X29 != X31
    | apply(X28,X29) = apply(X30,X31) ),
    theory(equality) ).

cnf(c24,plain,
    ( X84 != X82
    | apply(X84,apply(X83,X83)) = apply(X82,apply(m,X83)) ),
    inference(resolution,[status(thm)],[c0,c2]) ).

cnf(c79,plain,
    apply(X85,apply(X86,X86)) = apply(X85,apply(m,X86)),
    inference(resolution,[status(thm)],[c24,reflexivity]) ).

cnf(c84,plain,
    apply(X90,apply(m,X89)) = apply(X90,apply(X89,X89)),
    inference(resolution,[status(thm)],[c79,symmetry]) ).

cnf(c106,plain,
    ( X141 != apply(X140,apply(m,X142))
    | X141 = apply(X140,apply(X142,X142)) ),
    inference(resolution,[status(thm)],[c84,transitivity]) ).

cnf(c244,plain,
    apply(apply(apply(b,X175),m),X174) = apply(X175,apply(X174,X174)),
    inference(resolution,[status(thm)],[c106,b_definition]) ).

cnf(c388,plain,
    $false,
    inference(resolution,[status(thm)],[c244,prove_fixed_point]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : COL021-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36  % Computer : n004.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed May  8 21:40:08 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.48/0.66  % Version:  1.5
% 0.48/0.66  % SZS status Unsatisfiable
% 0.48/0.66  % SZS output start CNFRefutation
% See solution above
% 0.48/0.66  
% 0.48/0.66  % Initial clauses    : 8
% 0.48/0.66  % Processed clauses  : 45
% 0.48/0.66  % Factors computed   : 2
% 0.48/0.66  % Resolvents computed: 403
% 0.48/0.66  % Tautologies deleted: 2
% 0.48/0.66  % Forward subsumed   : 41
% 0.48/0.66  % Backward subsumed  : 0
% 0.48/0.66  % -------- CPU Time ---------
% 0.48/0.66  % User time          : 0.283 s
% 0.48/0.66  % System time        : 0.015 s
% 0.48/0.66  % Total time         : 0.298 s
%------------------------------------------------------------------------------