%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN724-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n018.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 : Thu Jul 21 09:05:13 EDT 2022

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   16 (   6 unt;   2 nHn;  16 RR)
%            Number of literals    :   28 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    1 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(thm31_3,negated_conjecture,
    ( s(A)
    | ~ r(A) ) ).

cnf(thm31_4,negated_conjecture,
    ( r(sk1)
    | r(sk2) ) ).

cnf(thm31_9,negated_conjecture,
    ( r(sk1)
    | ~ r(sk2)
    | ~ s(sk2) ) ).

cnf(thm31_10,negated_conjecture,
    ( r(sk2)
    | ~ s(sk1) ) ).

cnf(thm31_15,negated_conjecture,
    ( ~ r(sk2)
    | ~ s(sk1)
    | ~ s(sk2) ) ).

cnf(refute_0_0,plain,
    ( ~ r(sk1)
    | s(sk1) ),
    inference(subst,[],[thm31_3:[bind(A,$fot(sk1))]]) ).

cnf(refute_0_1,plain,
    ( ~ r(sk2)
    | s(sk2) ),
    inference(subst,[],[thm31_3:[bind(A,$fot(sk2))]]) ).

cnf(refute_0_2,plain,
    ( r(sk1)
    | s(sk2) ),
    inference(resolve,[$cnf( r(sk2) )],[thm31_4,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ r(sk2)
    | r(sk1) ),
    inference(resolve,[$cnf( s(sk2) )],[refute_0_2,thm31_9]) ).

cnf(refute_0_4,plain,
    r(sk1),
    inference(resolve,[$cnf( r(sk2) )],[thm31_4,refute_0_3]) ).

cnf(refute_0_5,plain,
    s(sk1),
    inference(resolve,[$cnf( r(sk1) )],[refute_0_4,refute_0_0]) ).

cnf(refute_0_6,plain,
    r(sk2),
    inference(resolve,[$cnf( s(sk1) )],[refute_0_5,thm31_10]) ).

cnf(refute_0_7,plain,
    ( ~ s(sk1)
    | ~ s(sk2) ),
    inference(resolve,[$cnf( r(sk2) )],[refute_0_6,thm31_15]) ).

cnf(refute_0_8,plain,
    ~ s(sk2),
    inference(resolve,[$cnf( s(sk1) )],[refute_0_5,refute_0_7]) ).

cnf(refute_0_9,plain,
    s(sk2),
    inference(resolve,[$cnf( r(sk2) )],[refute_0_6,refute_0_1]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( s(sk2) )],[refute_0_9,refute_0_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN724-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul 11 16:06:29 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  
% 0.13/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36  
%------------------------------------------------------------------------------