%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : MGT059-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n021.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 22:19:57 EDT 2022

% Result   : Unsatisfiable 0.19s 0.35s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   19 (   9 unt;   0 nHn;  19 RR)
%            Number of literals    :   34 (  22 equ;  17 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(assumption_17_32,axiom,
    ( ~ organization(A)
    | ~ has_immunity(A,B)
    | hazard_of_mortality(A,B) = very_low ) ).

cnf(assumption_2_37,negated_conjecture,
    organization(sk1) ).

cnf(assumption_2_38,negated_conjecture,
    has_immunity(sk1,sk2) ).

cnf(assumption_2_39,negated_conjecture,
    has_immunity(sk1,sk3) ).

cnf(assumption_2_40,negated_conjecture,
    hazard_of_mortality(sk1,sk2) != hazard_of_mortality(sk1,sk3) ).

cnf(refute_0_0,plain,
    ( ~ has_immunity(sk1,sk2)
    | ~ organization(sk1)
    | hazard_of_mortality(sk1,sk2) = very_low ),
    inference(subst,[],[assumption_17_32:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).

cnf(refute_0_1,plain,
    ( ~ organization(sk1)
    | hazard_of_mortality(sk1,sk2) = very_low ),
    inference(resolve,[$cnf( has_immunity(sk1,sk2) )],[assumption_2_38,refute_0_0]) ).

cnf(refute_0_2,plain,
    hazard_of_mortality(sk1,sk2) = very_low,
    inference(resolve,[$cnf( organization(sk1) )],[assumption_2_37,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( hazard_of_mortality(sk1,sk2) != very_low
    | very_low != hazard_of_mortality(sk1,sk3)
    | hazard_of_mortality(sk1,sk2) = hazard_of_mortality(sk1,sk3) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)) ),[0],$fot(very_low)]]) ).

cnf(refute_0_4,plain,
    ( very_low != hazard_of_mortality(sk1,sk3)
    | hazard_of_mortality(sk1,sk2) = hazard_of_mortality(sk1,sk3) ),
    inference(resolve,[$cnf( $equal(hazard_of_mortality(sk1,sk2),very_low) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ has_immunity(sk1,sk3)
    | ~ organization(sk1)
    | hazard_of_mortality(sk1,sk3) = very_low ),
    inference(subst,[],[assumption_17_32:[bind(A,$fot(sk1)),bind(B,$fot(sk3))]]) ).

cnf(refute_0_6,plain,
    ( ~ organization(sk1)
    | hazard_of_mortality(sk1,sk3) = very_low ),
    inference(resolve,[$cnf( has_immunity(sk1,sk3) )],[assumption_2_39,refute_0_5]) ).

cnf(refute_0_7,plain,
    hazard_of_mortality(sk1,sk3) = very_low,
    inference(resolve,[$cnf( organization(sk1) )],[assumption_2_37,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( hazard_of_mortality(sk1,sk3) != very_low
    | very_low != very_low
    | very_low = hazard_of_mortality(sk1,sk3) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(very_low,hazard_of_mortality(sk1,sk3)) ),[1],$fot(very_low)]]) ).

cnf(refute_0_9,plain,
    ( very_low != very_low
    | very_low = hazard_of_mortality(sk1,sk3) ),
    inference(resolve,[$cnf( $equal(hazard_of_mortality(sk1,sk3),very_low) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( very_low != very_low
    | hazard_of_mortality(sk1,sk2) = hazard_of_mortality(sk1,sk3) ),
    inference(resolve,[$cnf( $equal(very_low,hazard_of_mortality(sk1,sk3)) )],[refute_0_9,refute_0_4]) ).

cnf(refute_0_11,plain,
    very_low != very_low,
    inference(resolve,[$cnf( $equal(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)) )],[refute_0_10,assumption_2_40]) ).

cnf(refute_0_12,plain,
    very_low = very_low,
    introduced(tautology,[refl,[$fot(very_low)]]) ).

cnf(refute_0_13,plain,
    $false,
    inference(resolve,[$cnf( $equal(very_low,very_low) )],[refute_0_12,refute_0_11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : MGT059-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  9 08:33:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35  
% 0.19/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.36  
%------------------------------------------------------------------------------