%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : PUZ001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n017.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 : Mon Jul 18 18:20:24 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   28 (   8 unt;   6 nHn;  28 RR)
%            Number of literals    :   52 (   0 equ;  26 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(butler,hypothesis,
    lives(butler) ).

cnf(poorer_killer,hypothesis,
    ( ~ killed(X,Y)
    | ~ richer(X,Y) ) ).

cnf(different_hates,hypothesis,
    ( ~ hates(agatha,X)
    | ~ hates(charles,X) ) ).

cnf(no_one_hates_everyone,hypothesis,
    ( ~ hates(X,agatha)
    | ~ hates(X,butler)
    | ~ hates(X,charles) ) ).

cnf(agatha_hates_agatha,hypothesis,
    hates(agatha,agatha) ).

cnf(agatha_hates_charles,hypothesis,
    hates(agatha,charles) ).

cnf(killer_hates_victim,hypothesis,
    ( ~ killed(X,Y)
    | hates(X,Y) ) ).

cnf(same_hates,hypothesis,
    ( ~ hates(agatha,X)
    | hates(butler,X) ) ).

cnf(butler_hates_poor,hypothesis,
    ( ~ lives(X)
    | richer(X,agatha)
    | hates(butler,X) ) ).

cnf(prove_neither_charles_nor_butler_did_it,negated_conjecture,
    ( killed(butler,agatha)
    | killed(charles,agatha) ) ).

cnf(refute_0_0,plain,
    ( ~ hates(agatha,charles)
    | hates(butler,charles) ),
    inference(subst,[],[same_hates:[bind(X,$fot(charles))]]) ).

cnf(refute_0_1,plain,
    hates(butler,charles),
    inference(resolve,[$cnf( hates(agatha,charles) )],[agatha_hates_charles,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ hates(butler,agatha)
    | ~ hates(butler,butler)
    | ~ hates(butler,charles) ),
    inference(subst,[],[no_one_hates_everyone:[bind(X,$fot(butler))]]) ).

cnf(refute_0_3,plain,
    ( ~ hates(butler,agatha)
    | ~ hates(butler,butler) ),
    inference(resolve,[$cnf( hates(butler,charles) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ hates(agatha,agatha)
    | hates(butler,agatha) ),
    inference(subst,[],[same_hates:[bind(X,$fot(agatha))]]) ).

cnf(refute_0_5,plain,
    hates(butler,agatha),
    inference(resolve,[$cnf( hates(agatha,agatha) )],[agatha_hates_agatha,refute_0_4]) ).

cnf(refute_0_6,plain,
    ~ hates(butler,butler),
    inference(resolve,[$cnf( hates(butler,agatha) )],[refute_0_5,refute_0_3]) ).

cnf(refute_0_7,plain,
    ( ~ hates(agatha,agatha)
    | ~ hates(charles,agatha) ),
    inference(subst,[],[different_hates:[bind(X,$fot(agatha))]]) ).

cnf(refute_0_8,plain,
    ( ~ killed(charles,agatha)
    | hates(charles,agatha) ),
    inference(subst,[],[killer_hates_victim:[bind(X,$fot(charles)),bind(Y,$fot(agatha))]]) ).

cnf(refute_0_9,plain,
    ( hates(charles,agatha)
    | killed(butler,agatha) ),
    inference(resolve,[$cnf( killed(charles,agatha) )],[prove_neither_charles_nor_butler_did_it,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ killed(butler,agatha)
    | ~ richer(butler,agatha) ),
    inference(subst,[],[poorer_killer:[bind(X,$fot(butler)),bind(Y,$fot(agatha))]]) ).

cnf(refute_0_11,plain,
    ( ~ lives(butler)
    | hates(butler,butler)
    | richer(butler,agatha) ),
    inference(subst,[],[butler_hates_poor:[bind(X,$fot(butler))]]) ).

cnf(refute_0_12,plain,
    ( hates(butler,butler)
    | richer(butler,agatha) ),
    inference(resolve,[$cnf( lives(butler) )],[butler,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( ~ killed(butler,agatha)
    | hates(butler,butler) ),
    inference(resolve,[$cnf( richer(butler,agatha) )],[refute_0_12,refute_0_10]) ).

cnf(refute_0_14,plain,
    ( hates(butler,butler)
    | hates(charles,agatha) ),
    inference(resolve,[$cnf( killed(butler,agatha) )],[refute_0_9,refute_0_13]) ).

cnf(refute_0_15,plain,
    ( ~ hates(agatha,agatha)
    | hates(butler,butler) ),
    inference(resolve,[$cnf( hates(charles,agatha) )],[refute_0_14,refute_0_7]) ).

cnf(refute_0_16,plain,
    hates(butler,butler),
    inference(resolve,[$cnf( hates(agatha,agatha) )],[agatha_hates_agatha,refute_0_15]) ).

cnf(refute_0_17,plain,
    $false,
    inference(resolve,[$cnf( hates(butler,butler) )],[refute_0_16,refute_0_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : PUZ001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n017.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 : Sat May 28 21:46:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------