TSTP Solution File: SET046-5 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET046-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n017.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 17:38:58 EDT 2024

% Result   : Unsatisfiable 0.37s 0.56s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   5 unt;   2 nHn;   6 RR)
%            Number of literals    :   12 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_3,negated_conjecture,
    ( element(f(X3),X3)
    | element(X3,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

cnf(clause_1,negated_conjecture,
    ( ~ element(X4,a)
    | ~ element(X4,X5)
    | ~ element(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

cnf(c0,plain,
    ~ element(a,a),
    inference(factor,[status(thm)],[clause_1]) ).

cnf(c6,plain,
    element(f(a),a),
    inference(resolution,[status(thm)],[c0,clause_3]) ).

cnf(clause_2,negated_conjecture,
    ( element(X2,f(X2))
    | element(X2,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

cnf(c7,plain,
    element(a,f(a)),
    inference(resolution,[status(thm)],[c0,clause_2]) ).

cnf(c12,plain,
    ~ element(f(a),a),
    inference(resolution,[status(thm)],[c7,clause_1]) ).

cnf(c16,plain,
    $false,
    inference(resolution,[status(thm)],[c12,c6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET046-5 : 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 : n017.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 19:14:53 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.37/0.56  % Version:  1.5
% 0.37/0.56  % SZS status Unsatisfiable
% 0.37/0.56  % SZS output start CNFRefutation
% See solution above
% 0.37/0.56  
% 0.37/0.56  % Initial clauses    : 3
% 0.37/0.56  % Processed clauses  : 8
% 0.37/0.56  % Factors computed   : 3
% 0.37/0.56  % Resolvents computed: 14
% 0.37/0.56  % Tautologies deleted: 0
% 0.37/0.56  % Forward subsumed   : 1
% 0.37/0.56  % Backward subsumed  : 0
% 0.37/0.56  % -------- CPU Time ---------
% 0.37/0.56  % User time          : 0.183 s
% 0.37/0.56  % System time        : 0.024 s
% 0.37/0.56  % Total time         : 0.207 s
%------------------------------------------------------------------------------