TSTP Solution File: SYN093-1.002 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN093-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 08:59:31 EDT 2022

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (   7 unt;   5 nHn;  16 RR)
%            Number of literals    :   28 (   0 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    8 (   7 usr;   8 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(u_s2_goal_1,negated_conjecture,
    ( u_1
    | ~ p_1_2 ) ).

cnf(u_1_s2_goal_1,axiom,
    ~ u_1 ).

cnf(u_s2_type11_1,axiom,
    ( u_2
    | p_1_2
    | ~ p_2_2
    | ~ p_1_1 ) ).

cnf(u_2_s2_type11_1,axiom,
    ( p_1_2
    | ~ u_2 ) ).

cnf(u_t2_1,axiom,
    ( u_10
    | p_1_1 ) ).

cnf(u_10_t2_1,axiom,
    ( p_1_1
    | ~ u_10 ) ).

cnf(u_t2_3,axiom,
    ( u_12
    | p_2_2 ) ).

cnf(u_12_t2_3,axiom,
    ( p_2_2
    | ~ u_12 ) ).

cnf(refute_0_0,plain,
    p_1_1,
    inference(resolve,[$cnf( u_10 )],[u_t2_1,u_10_t2_1]) ).

cnf(refute_0_1,plain,
    ( ~ p_2_2
    | p_1_2
    | u_2 ),
    inference(resolve,[$cnf( p_1_1 )],[refute_0_0,u_s2_type11_1]) ).

cnf(refute_0_2,plain,
    p_2_2,
    inference(resolve,[$cnf( u_12 )],[u_t2_3,u_12_t2_3]) ).

cnf(refute_0_3,plain,
    ( p_1_2
    | u_2 ),
    inference(resolve,[$cnf( p_2_2 )],[refute_0_2,refute_0_1]) ).

cnf(refute_0_4,plain,
    ~ p_1_2,
    inference(resolve,[$cnf( u_1 )],[u_s2_goal_1,u_1_s2_goal_1]) ).

cnf(refute_0_5,plain,
    u_2,
    inference(resolve,[$cnf( p_1_2 )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    ~ u_2,
    inference(resolve,[$cnf( p_1_2 )],[u_2_s2_type11_1,refute_0_4]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( u_2 )],[refute_0_5,refute_0_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem  : SYN093-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.09/0.14  % Command  : metis --show proof --show saturation %s
% 0.14/0.35  % Computer : n026.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 14:34:57 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  
% 0.14/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.36  
%------------------------------------------------------------------------------