TSTP Solution File: SYN085-1.010 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN085-1.010 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n003.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 08:59:28 EDT 2022

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   23 (  13 unt;   0 nHn;  23 RR)
%            Number of literals    :   78 (   0 equ;  56 neg)
%            Maximal clause size   :   11 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   12 (  11 usr;  12 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(s1_goal_1,negated_conjecture,
    ~ p_0 ).

cnf(s1_1,axiom,
    ( p_0
    | ~ p_1
    | ~ p_2
    | ~ p_3
    | ~ p_4
    | ~ p_5
    | ~ p_6
    | ~ p_7
    | ~ p_8
    | ~ p_9
    | ~ p_10 ) ).

cnf(s1_2,axiom,
    p_1 ).

cnf(s1_3,axiom,
    p_2 ).

cnf(s1_4,axiom,
    p_3 ).

cnf(s1_5,axiom,
    p_4 ).

cnf(s1_6,axiom,
    p_5 ).

cnf(s1_7,axiom,
    p_6 ).

cnf(s1_8,axiom,
    p_7 ).

cnf(s1_9,axiom,
    p_8 ).

cnf(s1_10,axiom,
    p_9 ).

cnf(s1_11,axiom,
    p_10 ).

cnf(refute_0_0,plain,
    ( ~ p_10
    | ~ p_2
    | ~ p_3
    | ~ p_4
    | ~ p_5
    | ~ p_6
    | ~ p_7
    | ~ p_8
    | ~ p_9
    | p_0 ),
    inference(resolve,[$cnf( p_1 )],[s1_2,s1_1]) ).

cnf(refute_0_1,plain,
    ( ~ p_2
    | ~ p_3
    | ~ p_4
    | ~ p_5
    | ~ p_6
    | ~ p_7
    | ~ p_8
    | ~ p_9
    | p_0 ),
    inference(resolve,[$cnf( p_10 )],[s1_11,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ p_3
    | ~ p_4
    | ~ p_5
    | ~ p_6
    | ~ p_7
    | ~ p_8
    | ~ p_9
    | p_0 ),
    inference(resolve,[$cnf( p_2 )],[s1_3,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ p_4
    | ~ p_5
    | ~ p_6
    | ~ p_7
    | ~ p_8
    | ~ p_9
    | p_0 ),
    inference(resolve,[$cnf( p_3 )],[s1_4,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ p_5
    | ~ p_6
    | ~ p_7
    | ~ p_8
    | ~ p_9
    | p_0 ),
    inference(resolve,[$cnf( p_4 )],[s1_5,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ p_6
    | ~ p_7
    | ~ p_8
    | ~ p_9
    | p_0 ),
    inference(resolve,[$cnf( p_5 )],[s1_6,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ p_7
    | ~ p_8
    | ~ p_9
    | p_0 ),
    inference(resolve,[$cnf( p_6 )],[s1_7,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ p_8
    | ~ p_9
    | p_0 ),
    inference(resolve,[$cnf( p_7 )],[s1_8,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ p_9
    | p_0 ),
    inference(resolve,[$cnf( p_8 )],[s1_9,refute_0_7]) ).

cnf(refute_0_9,plain,
    p_0,
    inference(resolve,[$cnf( p_9 )],[s1_10,refute_0_8]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( p_0 )],[refute_0_9,s1_goal_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN085-1.010 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14  % Command  : metis --show proof --show saturation %s
% 0.14/0.35  % Computer : n003.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 : Tue Jul 12 03:19:00 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 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
% 0.22/0.36  
%------------------------------------------------------------------------------