TSTP Solution File: SYN080-1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SYN080-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n011.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 17:47:19 EDT 2024

% Result   : Unsatisfiable 0.21s 0.54s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   5 unt;   0 nHn;   4 RR)
%            Number of literals    :   12 (  11 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   14 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    f(f(a)) != f(g(b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(clause_1,axiom,
    f(X4) = g(X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

cnf(symmetry,axiom,
    ( X6 != X5
    | X5 = X6 ),
    theory(equality) ).

cnf(c3,plain,
    g(X8) = f(X9),
    inference(resolution,[status(thm)],[symmetry,clause_1]) ).

cnf(transitivity,axiom,
    ( X14 != X13
    | X13 != X12
    | X14 = X12 ),
    theory(equality) ).

cnf(c8,plain,
    ( X31 != g(X32)
    | X31 = f(X33) ),
    inference(resolution,[status(thm)],[transitivity,c3]) ).

cnf(c22,plain,
    f(X41) = f(X40),
    inference(resolution,[status(thm)],[c8,clause_1]) ).

cnf(c24,plain,
    $false,
    inference(resolution,[status(thm)],[c22,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN080-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n011.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed May  8 20:22:23 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.21/0.54  % Version:  1.5
% 0.21/0.54  % SZS status Unsatisfiable
% 0.21/0.54  % SZS output start CNFRefutation
% See solution above
% 0.21/0.54  
% 0.21/0.54  % Initial clauses    : 7
% 0.21/0.54  % Processed clauses  : 12
% 0.21/0.54  % Factors computed   : 1
% 0.21/0.54  % Resolvents computed: 24
% 0.21/0.54  % Tautologies deleted: 2
% 0.21/0.54  % Forward subsumed   : 8
% 0.21/0.54  % Backward subsumed  : 2
% 0.21/0.54  % -------- CPU Time ---------
% 0.21/0.54  % User time          : 0.161 s
% 0.21/0.54  % System time        : 0.014 s
% 0.21/0.54  % Total time         : 0.175 s
%------------------------------------------------------------------------------