%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : COL019-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n006.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 17:17:15 EDT 2024

% Result   : Unsatisfiable 1.28s 1.49s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;   5 RR)
%            Number of literals    :   14 (  13 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn)

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

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

cnf(b_definition,axiom,
    apply(apply(apply(b,X24),X22),X23) = apply(X24,apply(X22,X23)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).

cnf(c10,plain,
    ( X68 != apply(apply(apply(b,X69),X66),X67)
    | X68 = apply(X69,apply(X66,X67)) ),
    inference(resolution,[status(thm)],[b_definition,transitivity]) ).

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

cnf(t_definition,axiom,
    apply(apply(t,X17),X16) = apply(X16,X17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition) ).

cnf(c6,plain,
    ( X41 != apply(apply(t,X42),X43)
    | X41 = apply(X43,X42) ),
    inference(resolution,[status(thm)],[t_definition,transitivity]) ).

cnf(c33,plain,
    apply(apply(apply(s,t),X113),X112) = apply(apply(X113,X112),X112),
    inference(resolution,[status(thm)],[c6,s_definition]) ).

cnf(c137,plain,
    apply(apply(apply(s,t),apply(b,X798)),X797) = apply(X798,apply(X797,X797)),
    inference(resolution,[status(thm)],[c33,c10]) ).

cnf(c2894,plain,
    $false,
    inference(resolution,[status(thm)],[c137,prove_fixed_point]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : COL019-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed May  8 21:51:08 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 1.28/1.49  % Version:  1.5
% 1.28/1.49  % SZS status Unsatisfiable
% 1.28/1.49  % SZS output start CNFRefutation
% See solution above
% 1.28/1.49  
% 1.28/1.49  % Initial clauses    : 8
% 1.28/1.49  % Processed clauses  : 138
% 1.28/1.49  % Factors computed   : 2
% 1.28/1.49  % Resolvents computed: 2921
% 1.28/1.49  % Tautologies deleted: 2
% 1.28/1.49  % Forward subsumed   : 170
% 1.28/1.49  % Backward subsumed  : 1
% 1.28/1.49  % -------- CPU Time ---------
% 1.28/1.49  % User time          : 1.118 s
% 1.28/1.49  % System time        : 0.019 s
% 1.28/1.49  % Total time         : 1.137 s
%------------------------------------------------------------------------------