%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : COL009-1 : 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 17:17:14 EDT 2024

% Result   : Unsatisfiable 6.45s 6.64s
% Output   : Refutation 6.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (  11 unt;   0 nHn;   7 RR)
%            Number of literals    :   27 (  26 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   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   :   50 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_fixed_point,negated_conjecture,
    X3 != apply(combinator,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).

cnf(transitivity,axiom,
    ( X7 != X8
    | X8 != X9
    | X7 = X9 ),
    theory(equality) ).

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

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

cnf(l2_definition,axiom,
    apply(apply(l2,X16),X17) = apply(X17,apply(X16,X16)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_definition) ).

cnf(c6,plain,
    apply(X18,apply(X19,X19)) = apply(apply(l2,X19),X18),
    inference(resolution,[status(thm)],[l2_definition,symmetry]) ).

cnf(c0,axiom,
    ( X23 != X25
    | X24 != X22
    | apply(X23,X24) = apply(X25,X22) ),
    theory(equality) ).

cnf(c12,plain,
    ( X86 != X87
    | apply(X86,apply(X88,apply(X85,X85))) = apply(X87,apply(apply(l2,X85),X88)) ),
    inference(resolution,[status(thm)],[c0,c6]) ).

cnf(c86,plain,
    apply(X95,apply(X96,apply(X97,X97))) = apply(X95,apply(apply(l2,X97),X96)),
    inference(resolution,[status(thm)],[c12,reflexivity]) ).

cnf(c92,plain,
    apply(X100,apply(apply(l2,X99),X98)) = apply(X100,apply(X98,apply(X99,X99))),
    inference(resolution,[status(thm)],[c86,symmetry]) ).

cnf(c105,plain,
    ( X269 != apply(X271,apply(apply(l2,X270),X268))
    | X269 = apply(X271,apply(X268,apply(X270,X270))) ),
    inference(resolution,[status(thm)],[c92,transitivity]) ).

cnf(b_definition,axiom,
    apply(apply(apply(b,X10),X11),X12) = apply(X10,apply(X11,X12)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).

cnf(c5,plain,
    ( X39 != apply(apply(apply(b,X40),X38),X37)
    | X39 = apply(X40,apply(X38,X37)) ),
    inference(resolution,[status(thm)],[b_definition,transitivity]) ).

cnf(c14,plain,
    ( X30 != X31
    | apply(X30,X29) = apply(X31,X29) ),
    inference(resolution,[status(thm)],[c0,reflexivity]) ).

cnf(c19,plain,
    apply(apply(apply(apply(b,X163),X162),X161),X160) = apply(apply(X163,apply(X162,X161)),X160),
    inference(resolution,[status(thm)],[c14,b_definition]) ).

cnf(c220,plain,
    apply(apply(apply(apply(b,apply(b,X951)),X950),X949),X948) = apply(X951,apply(apply(X950,X949),X948)),
    inference(resolution,[status(thm)],[c19,c5]) ).

cnf(c3092,plain,
    apply(apply(apply(apply(b,apply(b,X2210)),l2),X2211),X2212) = apply(X2210,apply(X2212,apply(X2211,X2211))),
    inference(resolution,[status(thm)],[c220,c105]) ).

cnf(c11851,plain,
    $false,
    inference(resolution,[status(thm)],[c3092,prove_fixed_point]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : COL009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % 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 21:49:53 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 6.45/6.64  % Version:  1.5
% 6.45/6.64  % SZS status Unsatisfiable
% 6.45/6.64  % SZS output start CNFRefutation
% See solution above
% 6.45/6.64  
% 6.45/6.64  % Initial clauses    : 7
% 6.45/6.64  % Processed clauses  : 305
% 6.45/6.64  % Factors computed   : 2
% 6.45/6.64  % Resolvents computed: 11857
% 6.45/6.64  % Tautologies deleted: 2
% 6.45/6.64  % Forward subsumed   : 523
% 6.45/6.64  % Backward subsumed  : 3
% 6.45/6.64  % -------- CPU Time ---------
% 6.45/6.64  % User time          : 6.240 s
% 6.45/6.64  % System time        : 0.043 s
% 6.45/6.64  % Total time         : 6.283 s
%------------------------------------------------------------------------------