%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN196-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n025.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 09:00:22 EDT 2022

% Result   : Unsatisfiable 0.18s 0.46s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (   8 unt;   0 nHn;  12 RR)
%            Number of literals    :   20 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    8 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_14,axiom,
    p0(b,X) ).

cnf(axiom_36,axiom,
    q0(a,b) ).

cnf(rule_125,axiom,
    ( s1(I)
    | ~ p0(I,I) ) ).

cnf(rule_126,axiom,
    ( s1(F)
    | ~ q0(F,G)
    | ~ s1(H) ) ).

cnf(prove_this,negated_conjecture,
    ~ s1(a) ).

cnf(refute_0_0,plain,
    p0(b,b),
    inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).

cnf(refute_0_1,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).

cnf(refute_0_2,plain,
    s1(b),
    inference(resolve,[$cnf( p0(b,b) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ q0(a,b)
    | ~ s1(X_223)
    | s1(a) ),
    inference(subst,[],[rule_126:[bind(F,$fot(a)),bind(G,$fot(b)),bind(H,$fot(X_223))]]) ).

cnf(refute_0_4,plain,
    ( ~ s1(X_223)
    | s1(a) ),
    inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_3]) ).

cnf(refute_0_5,plain,
    ~ s1(X_223),
    inference(resolve,[$cnf( s1(a) )],[refute_0_4,prove_this]) ).

cnf(refute_0_6,plain,
    ~ s1(b),
    inference(subst,[],[refute_0_5:[bind(X_223,$fot(b))]]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( s1(b) )],[refute_0_2,refute_0_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11  % Problem  : SYN196-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 05:57:48 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.46  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  
% 0.18/0.46  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.46  
%------------------------------------------------------------------------------