%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : MGT045-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n029.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 : Sun Jul 17 22:19:50 EDT 2022

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   6 unt;   0 nHn;  12 RR)
%            Number of literals    :   22 (   0 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(assumption_6_30,axiom,
    ( ~ organization(A)
    | ~ greater(external_ties(A,B),external_ties(A,C))
    | greater(position(A,B),position(A,C)) ) ).

cnf(assumption_8_32,axiom,
    ( ~ organization(A)
    | ~ greater(age(A,B),age(A,C))
    | greater(external_ties(A,B),external_ties(A,C)) ) ).

cnf(lemma_4_33,negated_conjecture,
    organization(sk1) ).

cnf(lemma_4_34,negated_conjecture,
    greater(age(sk1,sk3),age(sk1,sk2)) ).

cnf(lemma_4_35,negated_conjecture,
    ~ greater(position(sk1,sk3),position(sk1,sk2)) ).

cnf(refute_0_0,plain,
    ( ~ greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
    | ~ organization(sk1)
    | greater(position(sk1,sk3),position(sk1,sk2)) ),
    inference(subst,[],[assumption_6_30:[bind(A,$fot(sk1)),bind(B,$fot(sk3)),bind(C,$fot(sk2))]]) ).

cnf(refute_0_1,plain,
    ( ~ greater(age(sk1,sk3),age(sk1,sk2))
    | ~ organization(sk1)
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    inference(subst,[],[assumption_8_32:[bind(A,$fot(sk1)),bind(B,$fot(sk3)),bind(C,$fot(sk2))]]) ).

cnf(refute_0_2,plain,
    ( ~ organization(sk1)
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    inference(resolve,[$cnf( greater(age(sk1,sk3),age(sk1,sk2)) )],[lemma_4_34,refute_0_1]) ).

cnf(refute_0_3,plain,
    greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),
    inference(resolve,[$cnf( organization(sk1) )],[lemma_4_33,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ organization(sk1)
    | greater(position(sk1,sk3),position(sk1,sk2)) ),
    inference(resolve,[$cnf( greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) )],[refute_0_3,refute_0_0]) ).

cnf(refute_0_5,plain,
    greater(position(sk1,sk3),position(sk1,sk2)),
    inference(resolve,[$cnf( organization(sk1) )],[lemma_4_33,refute_0_4]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( greater(position(sk1,sk3),position(sk1,sk2)) )],[refute_0_5,lemma_4_35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : MGT045-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n029.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 : Thu Jun  9 10:39:37 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  
% 0.12/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.36  
%------------------------------------------------------------------------------