%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : COL024-1 : 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 0.64s
% 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,X8),X9),X10) = apply(X8,apply(X9,X10)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).

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

cnf(symmetry,axiom,
    ( X4 != X5
    | X5 = X4 ),
    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,
    ( X30 != X31
    | X29 != X28
    | apply(X30,X29) = apply(X31,X28) ),
    theory(equality) ).

cnf(c22,plain,
    ( X83 != X82
    | apply(X83,apply(X84,X84)) = apply(X82,apply(m,X84)) ),
    inference(resolution,[status(thm)],[c0,c2]) ).

cnf(c77,plain,
    apply(X86,apply(X85,X85)) = apply(X86,apply(m,X85)),
    inference(resolution,[status(thm)],[c22,reflexivity]) ).

cnf(c84,plain,
    apply(X89,apply(m,X90)) = apply(X89,apply(X90,X90)),
    inference(resolution,[status(thm)],[c77,symmetry]) ).

cnf(c105,plain,
    ( X140 != apply(X142,apply(m,X141))
    | X140 = apply(X142,apply(X141,X141)) ),
    inference(resolution,[status(thm)],[c84,transitivity]) ).

cnf(c242,plain,
    apply(apply(apply(b,X173),m),X172) = apply(X173,apply(X172,X172)),
    inference(resolution,[status(thm)],[c105,b_definition]) ).

cnf(c390,plain,
    $false,
    inference(resolution,[status(thm)],[c242,prove_fixed_point]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : COL024-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed May  8 21:39:53 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.48/0.64  % Version:  1.5
% 0.48/0.64  % SZS status Unsatisfiable
% 0.48/0.64  % SZS output start CNFRefutation
% See solution above
% 0.48/0.64  
% 0.48/0.64  % Initial clauses    : 8
% 0.48/0.64  % Processed clauses  : 45
% 0.48/0.64  % Factors computed   : 2
% 0.48/0.64  % Resolvents computed: 405
% 0.48/0.64  % Tautologies deleted: 2
% 0.48/0.64  % Forward subsumed   : 41
% 0.48/0.64  % Backward subsumed  : 0
% 0.48/0.64  % -------- CPU Time ---------
% 0.48/0.64  % User time          : 0.267 s
% 0.48/0.64  % System time        : 0.017 s
% 0.48/0.64  % Total time         : 0.284 s
%------------------------------------------------------------------------------