TSTP Solution File: SET059-7 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET059-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n010.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 17:39:01 EDT 2024

% Result   : Unsatisfiable 0.65s 0.84s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;  12 RR)
%            Number of literals    :   17 (   7 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_equality4_3,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality4_3) ).

cnf(symmetry,axiom,
    ( X38 != X37
    | X37 = X38 ),
    theory(equality) ).

cnf(not_subclass_members2,axiom,
    ( ~ member(not_subclass_element(X22,X21),X21)
    | subclass(X22,X21) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(prove_equality4_2,negated_conjecture,
    member(not_subclass_element(y,x),x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality4_2) ).

cnf(c84,plain,
    subclass(y,x),
    inference(resolution,[status(thm)],[prove_equality4_2,not_subclass_members2]) ).

cnf(subclass_implies_equal,axiom,
    ( ~ subclass(X27,X26)
    | ~ subclass(X26,X27)
    | X27 = X26 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).

cnf(prove_equality4_1,negated_conjecture,
    member(not_subclass_element(x,y),y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality4_1) ).

cnf(c81,plain,
    subclass(x,y),
    inference(resolution,[status(thm)],[prove_equality4_1,not_subclass_members2]) ).

cnf(c83,plain,
    ( ~ subclass(y,x)
    | y = x ),
    inference(resolution,[status(thm)],[c81,subclass_implies_equal]) ).

cnf(c905,plain,
    y = x,
    inference(resolution,[status(thm)],[c83,c84]) ).

cnf(c934,plain,
    x = y,
    inference(resolution,[status(thm)],[c905,symmetry]) ).

cnf(c972,plain,
    $false,
    inference(resolution,[status(thm)],[c934,prove_equality4_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET059-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n010.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 18:16:23 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.65/0.84  % Version:  1.5
% 0.65/0.84  % SZS status Unsatisfiable
% 0.65/0.84  % SZS output start CNFRefutation
% See solution above
% 0.65/0.84  
% 0.65/0.84  % Initial clauses    : 142
% 0.65/0.84  % Processed clauses  : 159
% 0.65/0.84  % Factors computed   : 7
% 0.65/0.84  % Resolvents computed: 934
% 0.65/0.84  % Tautologies deleted: 9
% 0.65/0.84  % Forward subsumed   : 62
% 0.65/0.84  % Backward subsumed  : 2
% 0.65/0.84  % -------- CPU Time ---------
% 0.65/0.84  % User time          : 0.470 s
% 0.65/0.84  % System time        : 0.026 s
% 0.65/0.84  % Total time         : 0.496 s
%------------------------------------------------------------------------------