TSTP Solution File: SET057-6 by PyRes---1.5

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET057-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n002.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 17:39:00 EDT 2024

% Result   : Unsatisfiable 0.75s 0.93s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   8 unt;   1 nHn;  12 RR)
%            Number of literals    :   19 (   7 equ;   7 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   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_equality2_2,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality2_2) ).

cnf(symmetry,axiom,
    ( X37 != X36
    | X36 = X37 ),
    theory(equality) ).

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

cnf(prove_equality2_3,negated_conjecture,
    ~ member(not_subclass_element(y,x),y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality2_3) ).

cnf(c84,plain,
    subclass(y,x),
    inference(resolution,[status(thm)],[prove_equality2_3,not_subclass_members1]) ).

cnf(subclass_implies_equal,axiom,
    ( ~ subclass(X29,X28)
    | ~ subclass(X28,X29)
    | X29 = X28 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).

cnf(not_subclass_members2,axiom,
    ( ~ member(not_subclass_element(X21,X20),X20)
    | subclass(X21,X20) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(prove_equality2_1,negated_conjecture,
    member(not_subclass_element(x,y),y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality2_1) ).

cnf(c81,plain,
    subclass(x,y),
    inference(resolution,[status(thm)],[prove_equality2_1,not_subclass_members2]) ).

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

cnf(c840,plain,
    y = x,
    inference(resolution,[status(thm)],[c83,c84]) ).

cnf(c864,plain,
    x = y,
    inference(resolution,[status(thm)],[c840,symmetry]) ).

cnf(c887,plain,
    $false,
    inference(resolution,[status(thm)],[c864,prove_equality2_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SET057-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n002.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 18:26:53 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.75/0.93  % Version:  1.5
% 0.75/0.93  % SZS status Unsatisfiable
% 0.75/0.93  % SZS output start CNFRefutation
% See solution above
% 0.75/0.93  
% 0.75/0.93  % Initial clauses    : 136
% 0.75/0.93  % Processed clauses  : 151
% 0.75/0.93  % Factors computed   : 6
% 0.75/0.93  % Resolvents computed: 846
% 0.75/0.93  % Tautologies deleted: 7
% 0.75/0.93  % Forward subsumed   : 54
% 0.75/0.93  % Backward subsumed  : 1
% 0.75/0.93  % -------- CPU Time ---------
% 0.75/0.93  % User time          : 0.557 s
% 0.75/0.93  % System time        : 0.016 s
% 0.75/0.93  % Total time         : 0.573 s
%------------------------------------------------------------------------------