%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN201-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n027.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 09:00:24 EDT 2022

% Result   : Unsatisfiable 0.20s 0.47s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (   9 unt;   0 nHn;  17 RR)
%            Number of literals    :   28 (   0 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    6 (   1 sgn)

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

cnf(axiom_32,axiom,
    k0(b) ).

cnf(rule_068,axiom,
    ( p1(D,D,D)
    | ~ k0(D) ) ).

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

cnf(rule_181,axiom,
    ( q2(I,I,I)
    | ~ p1(I,I,I) ) ).

cnf(rule_189,axiom,
    ( s2(H)
    | ~ q2(b,H,b)
    | ~ s1(b) ) ).

cnf(prove_this,negated_conjecture,
    ~ s2(b) ).

cnf(refute_0_0,plain,
    ( ~ k0(b)
    | p1(b,b,b) ),
    inference(subst,[],[rule_068:[bind(D,$fot(b))]]) ).

cnf(refute_0_1,plain,
    p1(b,b,b),
    inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ p1(b,b,b)
    | q2(b,b,b) ),
    inference(subst,[],[rule_181:[bind(I,$fot(b))]]) ).

cnf(refute_0_3,plain,
    q2(b,b,b),
    inference(resolve,[$cnf( p1(b,b,b) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    p0(b,b),
    inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).

cnf(refute_0_5,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).

cnf(refute_0_6,plain,
    s1(b),
    inference(resolve,[$cnf( p0(b,b) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ q2(b,H,b)
    | s2(H) ),
    inference(resolve,[$cnf( s1(b) )],[refute_0_6,rule_189]) ).

cnf(refute_0_8,plain,
    ( ~ q2(b,b,b)
    | s2(b) ),
    inference(subst,[],[refute_0_7:[bind(H,$fot(b))]]) ).

cnf(refute_0_9,plain,
    s2(b),
    inference(resolve,[$cnf( q2(b,b,b) )],[refute_0_3,refute_0_8]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( s2(b) )],[refute_0_9,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN201-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jul 12 04:18:49 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.47  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  
% 0.20/0.47  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.47  
%------------------------------------------------------------------------------