%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SET786-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %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  : 600s
% DateTime : Tue Jul 19 03:37:12 EDT 2022

% Result   : Unsatisfiable 0.15s 0.37s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   11 (   4 unt;   4 nHn;   9 RR)
%            Number of literals    :   19 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(thm25_1,negated_conjecture,
    ( ~ element(B,A)
    | ~ element(A,B)
    | ~ element(A,sk1) ) ).

cnf(thm25_2,negated_conjecture,
    ( element(A,sk1)
    | element(A,sk2(A)) ) ).

cnf(thm25_3,negated_conjecture,
    ( element(A,sk1)
    | element(sk2(A),A) ) ).

cnf(refute_0_0,plain,
    ( ~ element(sk1,sk2(sk1))
    | ~ element(sk2(sk1),sk1) ),
    inference(subst,[],[thm25_1:[bind(A,$fot(sk2(sk1))),bind(B,$fot(sk1))]]) ).

cnf(refute_0_1,plain,
    ( element(sk1,sk1)
    | element(sk2(sk1),sk1) ),
    inference(subst,[],[thm25_3:[bind(A,$fot(sk1))]]) ).

cnf(refute_0_2,plain,
    ( ~ element(sk1,sk2(sk1))
    | element(sk1,sk1) ),
    inference(resolve,[$cnf( element(sk2(sk1),sk1) )],[refute_0_1,refute_0_0]) ).

cnf(refute_0_3,plain,
    ~ element(sk1,sk1),
    inference(subst,[],[thm25_1:[bind(A,$fot(sk1)),bind(B,$fot(sk1))]]) ).

cnf(refute_0_4,plain,
    ~ element(sk1,sk2(sk1)),
    inference(resolve,[$cnf( element(sk1,sk1) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( element(sk1,sk1)
    | element(sk1,sk2(sk1)) ),
    inference(subst,[],[thm25_2:[bind(A,$fot(sk1))]]) ).

cnf(refute_0_6,plain,
    element(sk1,sk1),
    inference(resolve,[$cnf( element(sk1,sk2(sk1)) )],[refute_0_5,refute_0_4]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( element(sk1,sk1) )],[refute_0_6,refute_0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SET786-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.15  % Command  : metis --show proof --show saturation %s
% 0.15/0.36  % Computer : n023.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  : 600
% 0.15/0.36  % DateTime : Sun Jul 10 00:40:10 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.15/0.37  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.15/0.37  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37  
% 0.15/0.37  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.15/0.37  
%------------------------------------------------------------------------------