%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n016.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 08:59:33 EDT 2022

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   29 (   9 unt;  12 nHn;  29 RR)
%            Number of literals    :   59 (   0 equ;  21 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   14 (  13 usr;  14 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(u_s3_goal_1,negated_conjecture,
    ( u_1
    | ~ p_0
    | ~ q_0 ) ).

cnf(u_1_s3_goal_1,axiom,
    ~ u_1 ).

cnf(u_s3_type11_1,axiom,
    ( u_2
    | p_0
    | ~ p_1
    | ~ p_2 ) ).

cnf(u_2_s3_type11_1,axiom,
    ( p_0
    | ~ u_2 ) ).

cnf(u_s3_type11_3,axiom,
    ( u_4
    | p_1
    | ~ p_2
    | ~ p_3 ) ).

cnf(u_4_s3_type11_3,axiom,
    ( p_1
    | ~ u_4 ) ).

cnf(u_s3_type12_1,axiom,
    ( u_6
    | q_0
    | ~ p_1
    | ~ q_2 ) ).

cnf(u_6_s3_type12_1,axiom,
    ( q_0
    | ~ u_6 ) ).

cnf(u_t3_1,axiom,
    ( u_14
    | p_2 ) ).

cnf(u_14_t3_1,axiom,
    ( p_2
    | ~ u_14 ) ).

cnf(u_t3_2,axiom,
    ( u_15
    | p_3 ) ).

cnf(u_15_t3_2,axiom,
    ( p_3
    | ~ u_15 ) ).

cnf(u_t3_3,axiom,
    ( u_16
    | q_2 ) ).

cnf(u_16_t3_3,axiom,
    ( q_2
    | ~ u_16 ) ).

cnf(refute_0_0,plain,
    ( ~ p_0
    | ~ q_0 ),
    inference(resolve,[$cnf( u_1 )],[u_s3_goal_1,u_1_s3_goal_1]) ).

cnf(refute_0_1,plain,
    p_2,
    inference(resolve,[$cnf( u_14 )],[u_t3_1,u_14_t3_1]) ).

cnf(refute_0_2,plain,
    ( ~ p_3
    | p_1
    | u_4 ),
    inference(resolve,[$cnf( p_2 )],[refute_0_1,u_s3_type11_3]) ).

cnf(refute_0_3,plain,
    p_3,
    inference(resolve,[$cnf( u_15 )],[u_t3_2,u_15_t3_2]) ).

cnf(refute_0_4,plain,
    ( p_1
    | u_4 ),
    inference(resolve,[$cnf( p_3 )],[refute_0_3,refute_0_2]) ).

cnf(refute_0_5,plain,
    p_1,
    inference(resolve,[$cnf( u_4 )],[refute_0_4,u_4_s3_type11_3]) ).

cnf(refute_0_6,plain,
    ( ~ q_2
    | q_0
    | u_6 ),
    inference(resolve,[$cnf( p_1 )],[refute_0_5,u_s3_type12_1]) ).

cnf(refute_0_7,plain,
    q_2,
    inference(resolve,[$cnf( u_16 )],[u_t3_3,u_16_t3_3]) ).

cnf(refute_0_8,plain,
    ( q_0
    | u_6 ),
    inference(resolve,[$cnf( q_2 )],[refute_0_7,refute_0_6]) ).

cnf(refute_0_9,plain,
    q_0,
    inference(resolve,[$cnf( u_6 )],[refute_0_8,u_6_s3_type12_1]) ).

cnf(refute_0_10,plain,
    ~ p_0,
    inference(resolve,[$cnf( q_0 )],[refute_0_9,refute_0_0]) ).

cnf(refute_0_11,plain,
    ( ~ p_1
    | p_0
    | u_2 ),
    inference(resolve,[$cnf( p_2 )],[refute_0_1,u_s3_type11_1]) ).

cnf(refute_0_12,plain,
    ( p_0
    | u_2 ),
    inference(resolve,[$cnf( p_1 )],[refute_0_5,refute_0_11]) ).

cnf(refute_0_13,plain,
    p_0,
    inference(resolve,[$cnf( u_2 )],[refute_0_12,u_2_s3_type11_1]) ).

cnf(refute_0_14,plain,
    $false,
    inference(resolve,[$cnf( p_0 )],[refute_0_13,refute_0_10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.14  % Command  : metis --show proof --show saturation %s
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul 11 22:17:28 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  
% 0.14/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.14/0.37  
%------------------------------------------------------------------------------