TSTP Solution File: SET058-7 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET058-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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 0.67s 0.90s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   1 nHn;  10 RR)
%            Number of literals    :   16 (   4 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_equality3_2,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality3_2) ).

cnf(not_subclass_members1,axiom,
    ( member(not_subclass_element(X12,X13),X12)
    | subclass(X12,X13) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

cnf(prove_equality3_3,negated_conjecture,
    ~ member(not_subclass_element(x,y),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality3_3) ).

cnf(c84,plain,
    subclass(x,y),
    inference(resolution,[status(thm)],[prove_equality3_3,not_subclass_members1]) ).

cnf(subclass_implies_equal,axiom,
    ( ~ subclass(X26,X27)
    | ~ subclass(X27,X26)
    | X26 = X27 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).

cnf(not_subclass_members2,axiom,
    ( ~ member(not_subclass_element(X21,X22),X22)
    | subclass(X21,X22) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(prove_equality3_1,negated_conjecture,
    member(not_subclass_element(y,x),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality3_1) ).

cnf(c82,plain,
    subclass(y,x),
    inference(resolution,[status(thm)],[prove_equality3_1,not_subclass_members2]) ).

cnf(c83,plain,
    ( ~ subclass(x,y)
    | x = y ),
    inference(resolution,[status(thm)],[c82,subclass_implies_equal]) ).

cnf(c901,plain,
    x = y,
    inference(resolution,[status(thm)],[c83,c84]) ).

cnf(c949,plain,
    $false,
    inference(resolution,[status(thm)],[c901,prove_equality3_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET058-7 : 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 : n023.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 18:39:08 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.67/0.90  % Version:  1.5
% 0.67/0.90  % SZS status Unsatisfiable
% 0.67/0.90  % SZS output start CNFRefutation
% See solution above
% 0.67/0.90  
% 0.67/0.90  % Initial clauses    : 142
% 0.67/0.90  % Processed clauses  : 158
% 0.67/0.90  % Factors computed   : 7
% 0.67/0.90  % Resolvents computed: 906
% 0.67/0.90  % Tautologies deleted: 9
% 0.67/0.90  % Forward subsumed   : 62
% 0.67/0.90  % Backward subsumed  : 2
% 0.67/0.90  % -------- CPU Time ---------
% 0.67/0.90  % User time          : 0.543 s
% 0.67/0.90  % System time        : 0.010 s
% 0.67/0.90  % Total time         : 0.553 s
%------------------------------------------------------------------------------