%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN114-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n008.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 08:59:46 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   7 unt;   0 nHn;  12 RR)
%            Number of literals    :   17 (   0 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    4 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_15,axiom,
    n0(a,b) ).

cnf(rule_001,axiom,
    ( k1(I)
    | ~ n0(J,I) ) ).

cnf(rule_136,axiom,
    ( m2(b)
    | ~ k1(b) ) ).

cnf(rule_212,axiom,
    ( k3(B,B,B)
    | ~ m2(B) ) ).

cnf(prove_this,negated_conjecture,
    ~ k3(X,X,b) ).

cnf(refute_0_0,plain,
    ( ~ m2(b)
    | k3(b,b,b) ),
    inference(subst,[],[rule_212:[bind(B,$fot(b))]]) ).

cnf(refute_0_1,plain,
    ( ~ n0(a,b)
    | k1(b) ),
    inference(subst,[],[rule_001:[bind(I,$fot(b)),bind(J,$fot(a))]]) ).

cnf(refute_0_2,plain,
    k1(b),
    inference(resolve,[$cnf( n0(a,b) )],[axiom_15,refute_0_1]) ).

cnf(refute_0_3,plain,
    m2(b),
    inference(resolve,[$cnf( k1(b) )],[refute_0_2,rule_136]) ).

cnf(refute_0_4,plain,
    k3(b,b,b),
    inference(resolve,[$cnf( m2(b) )],[refute_0_3,refute_0_0]) ).

cnf(refute_0_5,plain,
    ~ k3(b,b,b),
    inference(subst,[],[prove_this:[bind(X,$fot(b))]]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( k3(b,b,b) )],[refute_0_4,refute_0_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN114-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul 11 17:55:38 EDT 2022
% 0.20/0.35  % CPUTime  : 
% 0.20/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  
% 0.20/0.49  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.49  
%------------------------------------------------------------------------------