%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN101-1.002.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n014.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 08:59:34 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (   7 unt;   0 nHn;  18 RR)
%            Number of literals    :   35 (   0 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(n_s2_goal_1,negated_conjecture,
    ~ p_1_2(a,a) ).

cnf(n_s2_type11_1,axiom,
    ( p_1_2(X_1,X_2)
    | ~ p_2_2(X_1,X_2)
    | ~ p_1_1(X_1,X_2) ) ).

cnf(n_t2_1,axiom,
    ( p_1_1(X_1,X_2)
    | ~ nq_1(X_1)
    | ~ nq_2(X_2) ) ).

cnf(n_t2_3,axiom,
    ( p_2_2(X_1,X_2)
    | ~ nq_1(X_1)
    | ~ nq_2(X_2) ) ).

cnf(n_1,axiom,
    nq_1(a) ).

cnf(n_3,axiom,
    nq_2(a) ).

cnf(refute_0_0,plain,
    ( ~ nq_1(X_16)
    | ~ nq_2(a)
    | p_2_2(X_16,a) ),
    inference(subst,[],[n_t2_3:[bind(X_1,$fot(X_16)),bind(X_2,$fot(a))]]) ).

cnf(refute_0_1,plain,
    ( ~ nq_1(X_16)
    | p_2_2(X_16,a) ),
    inference(resolve,[$cnf( nq_2(a) )],[n_3,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ nq_1(a)
    | p_2_2(a,a) ),
    inference(subst,[],[refute_0_1:[bind(X_16,$fot(a))]]) ).

cnf(refute_0_3,plain,
    p_2_2(a,a),
    inference(resolve,[$cnf( nq_1(a) )],[n_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ p_1_1(a,a)
    | ~ p_2_2(a,a)
    | p_1_2(a,a) ),
    inference(subst,[],[n_s2_type11_1:[bind(X_1,$fot(a)),bind(X_2,$fot(a))]]) ).

cnf(refute_0_5,plain,
    ( ~ p_1_1(a,a)
    | p_1_2(a,a) ),
    inference(resolve,[$cnf( p_2_2(a,a) )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ nq_1(X_8)
    | ~ nq_2(a)
    | p_1_1(X_8,a) ),
    inference(subst,[],[n_t2_1:[bind(X_1,$fot(X_8)),bind(X_2,$fot(a))]]) ).

cnf(refute_0_7,plain,
    ( ~ nq_1(X_8)
    | p_1_1(X_8,a) ),
    inference(resolve,[$cnf( nq_2(a) )],[n_3,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ nq_1(a)
    | p_1_1(a,a) ),
    inference(subst,[],[refute_0_7:[bind(X_8,$fot(a))]]) ).

cnf(refute_0_9,plain,
    p_1_1(a,a),
    inference(resolve,[$cnf( nq_1(a) )],[n_1,refute_0_8]) ).

cnf(refute_0_10,plain,
    p_1_2(a,a),
    inference(resolve,[$cnf( p_1_1(a,a) )],[refute_0_9,refute_0_5]) ).

cnf(refute_0_11,plain,
    $false,
    inference(resolve,[$cnf( p_1_2(a,a) )],[refute_0_10,n_s2_goal_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN101-1.002.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n014.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 05:45:04 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------