TSTP Solution File: GEO086-1 by Metis---2.4

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO086-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n004.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  : 600s
% DateTime : Sat Jul 16 05:24:10 EDT 2022

% Result   : Unsatisfiable 0.20s 0.43s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   11 (   6 unt;   3 nHn;  11 RR)
%            Number of literals    :   19 (   5 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c1_35,axiom,
    ( ~ part_of(A,B)
    | A = B
    | open(A) ) ).

cnf(theorem_2_7_2_67,negated_conjecture,
    open(sk14) ).

cnf(theorem_2_7_2_68,negated_conjecture,
    part_of(sk15,sk14) ).

cnf(theorem_2_7_2_69,negated_conjecture,
    ~ open(sk15) ).

cnf(refute_0_0,plain,
    ( ~ part_of(sk15,sk14)
    | sk15 = sk14
    | open(sk15) ),
    inference(subst,[],[c1_35:[bind(A,$fot(sk15)),bind(B,$fot(sk14))]]) ).

cnf(refute_0_1,plain,
    ( sk15 = sk14
    | open(sk15) ),
    inference(resolve,[$cnf( part_of(sk15,sk14) )],[theorem_2_7_2_68,refute_0_0]) ).

cnf(refute_0_2,plain,
    sk15 = sk14,
    inference(resolve,[$cnf( open(sk15) )],[refute_0_1,theorem_2_7_2_69]) ).

cnf(refute_0_3,plain,
    ( sk15 != sk14
    | ~ open(sk14)
    | open(sk15) ),
    introduced(tautology,[equality,[$cnf( ~ open(sk15) ),[0],$fot(sk14)]]) ).

cnf(refute_0_4,plain,
    ( ~ open(sk14)
    | open(sk15) ),
    inference(resolve,[$cnf( $equal(sk15,sk14) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ~ open(sk14),
    inference(resolve,[$cnf( open(sk15) )],[refute_0_4,theorem_2_7_2_69]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( open(sk14) )],[theorem_2_7_2_67,refute_0_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO086-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jun 17 23:07:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.43  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.43  
% 0.20/0.43  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.44  
%------------------------------------------------------------------------------