TSTP Solution File: SYN347-1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SYN347-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 17:47:59 EDT 2024

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (   5 unt;   8 nHn;  13 RR)
%            Number of literals    :   36 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause6,negated_conjecture,
    ( ~ f(a,y(X5,X4))
    | ~ f(b,y(X5,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

cnf(clause5,negated_conjecture,
    ( f(a,y(X3,X2))
    | f(b,y(X3,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

cnf(clause3,negated_conjecture,
    ( ~ f(X13,y(X13,X12))
    | ~ f(X12,y(X13,X12))
    | ~ f(a,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

cnf(c5,plain,
    ( ~ f(X14,y(X14,X14))
    | ~ f(a,b) ),
    inference(factor,[status(thm)],[clause3]) ).

cnf(c8,plain,
    ( ~ f(a,b)
    | f(b,y(a,a)) ),
    inference(resolution,[status(thm)],[c5,clause5]) ).

cnf(clause1,negated_conjecture,
    ( f(X9,y(X9,X8))
    | ~ f(X8,y(X9,X8))
    | f(a,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(c1,plain,
    ( f(X17,y(X17,a))
    | f(a,b)
    | f(b,y(X17,a)) ),
    inference(resolution,[status(thm)],[clause1,clause5]) ).

cnf(c10,plain,
    ( f(b,y(b,a))
    | f(a,b) ),
    inference(factor,[status(thm)],[c1]) ).

cnf(c31,plain,
    ( f(a,b)
    | ~ f(a,y(b,a)) ),
    inference(resolution,[status(thm)],[c10,clause6]) ).

cnf(clause2,negated_conjecture,
    ( ~ f(X11,y(X11,X10))
    | f(X10,y(X11,X10))
    | f(a,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

cnf(c32,plain,
    ( f(a,b)
    | f(a,y(b,a)) ),
    inference(resolution,[status(thm)],[c10,clause2]) ).

cnf(c44,plain,
    f(a,b),
    inference(resolution,[status(thm)],[c32,c31]) ).

cnf(c47,plain,
    f(b,y(a,a)),
    inference(resolution,[status(thm)],[c44,c8]) ).

cnf(c50,plain,
    ~ f(a,y(a,a)),
    inference(resolution,[status(thm)],[c47,clause6]) ).

cnf(clause4,negated_conjecture,
    ( f(X16,y(X16,X15))
    | f(X15,y(X16,X15))
    | ~ f(a,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

cnf(c48,plain,
    ( f(X21,y(X21,X20))
    | f(X20,y(X21,X20)) ),
    inference(resolution,[status(thm)],[c44,clause4]) ).

cnf(c52,plain,
    f(X23,y(X23,X23)),
    inference(factor,[status(thm)],[c48]) ).

cnf(c63,plain,
    $false,
    inference(resolution,[status(thm)],[c52,c50]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN347-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.13/0.13  % 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 20:08:08 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.54  % Version:  1.5
% 0.19/0.54  % SZS status Unsatisfiable
% 0.19/0.54  % SZS output start CNFRefutation
% See solution above
% 0.19/0.54  
% 0.19/0.54  % Initial clauses    : 6
% 0.19/0.54  % Processed clauses  : 21
% 0.19/0.54  % Factors computed   : 4
% 0.19/0.54  % Resolvents computed: 61
% 0.19/0.54  % Tautologies deleted: 1
% 0.19/0.54  % Forward subsumed   : 3
% 0.19/0.54  % Backward subsumed  : 11
% 0.19/0.54  % -------- CPU Time ---------
% 0.19/0.54  % User time          : 0.176 s
% 0.19/0.54  % System time        : 0.023 s
% 0.19/0.54  % Total time         : 0.199 s
%------------------------------------------------------------------------------