%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN111-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n026.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 08:59:45 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : CNFRefutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   25 (  11 unt;   0 nHn;  25 RR)
%            Number of literals    :   46 (   0 equ;  25 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   15 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_9,axiom,
    r0(b) ).

cnf(axiom_15,axiom,
    n0(a,b) ).

cnf(axiom_24,axiom,
    l0(c) ).

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

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

cnf(rule_021,axiom,
    ( m1(I,J,I)
    | ~ l0(I)
    | ~ k0(J) ) ).

cnf(rule_120,axiom,
    ( q1(b,b,b)
    | ~ r0(b) ) ).

cnf(rule_127,axiom,
    ( k2(C,D)
    | ~ m1(E,D,C)
    | ~ k1(F)
    | ~ k2(F,D) ) ).

cnf(rule_129,axiom,
    ( k2(J,J)
    | ~ q1(A,J,J) ) ).

cnf(prove_this,negated_conjecture,
    ~ k2(c,b) ).

cnf(refute_0_0,plain,
    q1(b,b,b),
    inference(resolve,[$cnf( r0(b) )],[axiom_9,rule_120]) ).

cnf(refute_0_1,plain,
    ( ~ q1(b,b,b)
    | k2(b,b) ),
    inference(subst,[],[rule_129:[bind(A,$fot(b)),bind(J,$fot(b))]]) ).

cnf(refute_0_2,plain,
    k2(b,b),
    inference(resolve,[$cnf( q1(b,b,b) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ k0(X_167)
    | ~ l0(c)
    | m1(c,X_167,c) ),
    inference(subst,[],[rule_021:[bind(I,$fot(c)),bind(J,$fot(X_167))]]) ).

cnf(refute_0_4,plain,
    ( ~ k0(X_167)
    | m1(c,X_167,c) ),
    inference(resolve,[$cnf( l0(c) )],[axiom_24,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ k0(b)
    | m1(c,b,c) ),
    inference(subst,[],[refute_0_4:[bind(X_167,$fot(b))]]) ).

cnf(refute_0_6,plain,
    m1(c,b,c),
    inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ k1(X_723)
    | ~ k2(X_723,b)
    | ~ m1(c,b,c)
    | k2(c,b) ),
    inference(subst,[],[rule_127:[bind(C,$fot(c)),bind(D,$fot(b)),bind(E,$fot(c)),bind(F,$fot(X_723))]]) ).

cnf(refute_0_8,plain,
    ( ~ k1(X_723)
    | ~ k2(X_723,b)
    | k2(c,b) ),
    inference(resolve,[$cnf( m1(c,b,c) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ k1(X_723)
    | ~ k2(X_723,b) ),
    inference(resolve,[$cnf( k2(c,b) )],[refute_0_8,prove_this]) ).

cnf(refute_0_10,plain,
    ( ~ k1(b)
    | ~ k2(b,b) ),
    inference(subst,[],[refute_0_9:[bind(X_723,$fot(b))]]) ).

cnf(refute_0_11,plain,
    ~ k1(b),
    inference(resolve,[$cnf( k2(b,b) )],[refute_0_2,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( ~ n0(a,b)
    | k1(b) ),
    inference(subst,[],[rule_001:[bind(I,$fot(b)),bind(J,$fot(a))]]) ).

cnf(refute_0_13,plain,
    k1(b),
    inference(resolve,[$cnf( n0(a,b) )],[axiom_15,refute_0_12]) ).

cnf(refute_0_14,plain,
    $false,
    inference(resolve,[$cnf( k1(b) )],[refute_0_13,refute_0_11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN111-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n026.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
% 0.13/0.34  % DateTime : Mon Jul 11 19:52:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53  
% 0.20/0.53  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.38/0.53  
%------------------------------------------------------------------------------