TSTP Solution File: SYN083+1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% 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 17:47:20 EDT 2024

% Result   : Theorem 0.21s 0.59s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (  11 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   8   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 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   :   36 (   0 sgn  14   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel61,conjecture,
    ! [X,Y,Z,W] : f(X,f(Y,f(Z,W))) = f(f(f(X,Y),Z),W),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel61) ).

fof(c1,negated_conjecture,
    ~ ! [X,Y,Z,W] : f(X,f(Y,f(Z,W))) = f(f(f(X,Y),Z),W),
    inference(assume_negation,[status(cth)],[pel61]) ).

fof(c2,negated_conjecture,
    ? [X,Y,Z,W] : f(X,f(Y,f(Z,W))) != f(f(f(X,Y),Z),W),
    inference(fof_nnf,[status(thm)],[c1]) ).

fof(c3,negated_conjecture,
    ? [X2,X3,X4,X5] : f(X2,f(X3,f(X4,X5))) != f(f(f(X2,X3),X4),X5),
    inference(variable_rename,[status(thm)],[c2]) ).

fof(c4,negated_conjecture,
    f(skolem0001,f(skolem0002,f(skolem0003,skolem0004))) != f(f(f(skolem0001,skolem0002),skolem0003),skolem0004),
    inference(skolemize,[status(esa)],[c3]) ).

cnf(c5,negated_conjecture,
    f(skolem0001,f(skolem0002,f(skolem0003,skolem0004))) != f(f(f(skolem0001,skolem0002),skolem0003),skolem0004),
    inference(split_conjunct,[status(thm)],[c4]) ).

fof(p61_1,axiom,
    ! [X,Y,Z] : f(X,f(Y,Z)) = f(f(X,Y),Z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p61_1) ).

fof(c6,plain,
    ! [X6,X7,X8] : f(X6,f(X7,X8)) = f(f(X6,X7),X8),
    inference(variable_rename,[status(thm)],[p61_1]) ).

cnf(c7,plain,
    f(X31,f(X33,X32)) = f(f(X31,X33),X32),
    inference(split_conjunct,[status(thm)],[c6]) ).

cnf(transitivity,axiom,
    ( X15 != X13
    | X13 != X14
    | X15 = X14 ),
    theory(equality) ).

cnf(c19,plain,
    ( X41 != f(X40,f(X43,X42))
    | X41 = f(f(X40,X43),X42) ),
    inference(resolution,[status(thm)],[c7,transitivity]) ).

cnf(c25,plain,
    f(X73,f(X76,f(X74,X75))) = f(f(f(X73,X76),X74),X75),
    inference(resolution,[status(thm)],[c19,c7]) ).

cnf(c56,plain,
    $false,
    inference(resolution,[status(thm)],[c25,c5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36  % Computer : n011.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed May  8 20:37:08 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.21/0.59  % Version:  1.5
% 0.21/0.59  % SZS status Theorem
% 0.21/0.59  % SZS output start CNFRefutation
% See solution above
% 0.21/0.59  
% 0.21/0.59  % Initial clauses    : 6
% 0.21/0.59  % Processed clauses  : 15
% 0.21/0.59  % Factors computed   : 2
% 0.21/0.59  % Resolvents computed: 49
% 0.21/0.59  % Tautologies deleted: 2
% 0.21/0.59  % Forward subsumed   : 8
% 0.21/0.59  % Backward subsumed  : 0
% 0.21/0.59  % -------- CPU Time ---------
% 0.21/0.59  % User time          : 0.205 s
% 0.21/0.59  % System time        : 0.017 s
% 0.21/0.59  % Total time         : 0.222 s
%------------------------------------------------------------------------------