%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : COL030-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n027.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 17:17:17 EDT 2024

% Result   : Unsatisfiable 1.02s 1.18s
% Output   : Refutation 1.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   17 (  11 unt;   0 nHn;   7 RR)
%            Number of literals    :   25 (  24 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   44 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_fixed_point,negated_conjecture,
    apply(X22,f(X22)) != apply(f(X22),apply(X22,f(X22))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).

cnf(symmetry,axiom,
    ( X4 != X3
    | X3 = X4 ),
    theory(equality) ).

cnf(transitivity,axiom,
    ( X7 != X6
    | X6 != X8
    | X7 = X8 ),
    theory(equality) ).

cnf(s_definition,axiom,
    apply(apply(apply(s,X11),X10),X12) = apply(apply(X11,X12),apply(X10,X12)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).

cnf(c6,plain,
    apply(apply(X50,X51),apply(X52,X51)) = apply(apply(apply(s,X50),X52),X51),
    inference(resolution,[status(thm)],[s_definition,symmetry]) ).

cnf(c46,plain,
    ( X182 != apply(apply(X181,X180),apply(X183,X180))
    | X182 = apply(apply(apply(s,X181),X183),X180) ),
    inference(resolution,[status(thm)],[c6,transitivity]) ).

cnf(l_definition,axiom,
    apply(apply(l,X19),X18) = apply(X19,apply(X18,X18)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_definition) ).

cnf(c11,plain,
    apply(X20,apply(X21,X21)) = apply(apply(l,X20),X21),
    inference(resolution,[status(thm)],[l_definition,symmetry]) ).

cnf(c12,plain,
    ( X54 != apply(X53,apply(X55,X55))
    | X54 = apply(apply(l,X53),X55) ),
    inference(resolution,[status(thm)],[c11,transitivity]) ).

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

cnf(c0,axiom,
    ( X27 != X28
    | X25 != X26
    | apply(X27,X25) = apply(X28,X26) ),
    theory(equality) ).

cnf(c18,plain,
    ( X104 != X102
    | apply(X104,apply(apply(apply(s,X103),X101),X100)) = apply(X102,apply(apply(X103,X100),apply(X101,X100))) ),
    inference(resolution,[status(thm)],[c0,s_definition]) ).

cnf(c119,plain,
    apply(X496,apply(apply(apply(s,X497),X498),X499)) = apply(X496,apply(apply(X497,X499),apply(X498,X499))),
    inference(resolution,[status(thm)],[c18,reflexivity]) ).

cnf(c1338,plain,
    apply(X505,apply(apply(apply(s,X507),X507),X506)) = apply(apply(l,X505),apply(X507,X506)),
    inference(resolution,[status(thm)],[c119,c12]) ).

cnf(c1431,plain,
    apply(X521,apply(apply(apply(s,X522),X522),X521)) = apply(apply(apply(s,l),X522),X521),
    inference(resolution,[status(thm)],[c1338,c46]) ).

cnf(c1539,plain,
    apply(apply(apply(s,l),X535),X534) = apply(X534,apply(apply(apply(s,X535),X535),X534)),
    inference(resolution,[status(thm)],[c1431,symmetry]) ).

cnf(c1589,plain,
    $false,
    inference(resolution,[status(thm)],[c1539,prove_fixed_point]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL030-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n027.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 : Wed May  8 21:42:37 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 1.02/1.18  % Version:  1.5
% 1.02/1.18  % SZS status Unsatisfiable
% 1.02/1.18  % SZS output start CNFRefutation
% See solution above
% 1.02/1.18  
% 1.02/1.18  % Initial clauses    : 8
% 1.02/1.18  % Processed clauses  : 105
% 1.02/1.18  % Factors computed   : 2
% 1.02/1.18  % Resolvents computed: 1605
% 1.02/1.18  % Tautologies deleted: 2
% 1.02/1.18  % Forward subsumed   : 110
% 1.02/1.18  % Backward subsumed  : 0
% 1.02/1.18  % -------- CPU Time ---------
% 1.02/1.18  % User time          : 0.807 s
% 1.02/1.18  % System time        : 0.021 s
% 1.02/1.18  % Total time         : 0.828 s
%------------------------------------------------------------------------------