%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : PUZ001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n025.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 18:27:10 EDT 2022

% Result   : Unsatisfiable 0.20s 0.41s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   21 (  12 unt;   2 nHn;  21 RR)
%            Number of literals    :   32 (   0 equ;  16 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    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    lives(butler),
    file('PUZ001-1.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ richer(u,v)
    | ~ killed(u,v) ),
    file('PUZ001-1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ hates(charles,u)
    | ~ hates(agatha,u) ),
    file('PUZ001-1.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ hates(u,charles)
    | ~ hates(u,butler)
    | ~ hates(u,agatha) ),
    file('PUZ001-1.p',unknown),
    [] ).

cnf(7,axiom,
    hates(agatha,agatha),
    file('PUZ001-1.p',unknown),
    [] ).

cnf(8,axiom,
    hates(agatha,charles),
    file('PUZ001-1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ killed(u,v)
    | hates(u,v) ),
    file('PUZ001-1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ hates(agatha,u)
    | hates(butler,u) ),
    file('PUZ001-1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ lives(u)
    | richer(u,agatha)
    | hates(butler,u) ),
    file('PUZ001-1.p',unknown),
    [] ).

cnf(12,axiom,
    ( killed(charles,agatha)
    | killed(butler,agatha) ),
    file('PUZ001-1.p',unknown),
    [] ).

cnf(16,plain,
    hates(butler,charles),
    inference(res,[status(thm),theory(equality)],[8,10]),
    [iquote('0:Res:8.0,10.0')] ).

cnf(17,plain,
    hates(butler,agatha),
    inference(res,[status(thm),theory(equality)],[7,10]),
    [iquote('0:Res:7.0,10.0')] ).

cnf(21,plain,
    ( ~ hates(butler,butler)
    | ~ hates(butler,agatha) ),
    inference(res,[status(thm),theory(equality)],[16,6]),
    [iquote('0:Res:16.0,6.0')] ).

cnf(23,plain,
    ~ hates(butler,butler),
    inference(mrr,[status(thm)],[21,17]),
    [iquote('0:MRR:21.1,17.0')] ).

cnf(24,plain,
    ( ~ lives(butler)
    | richer(butler,agatha) ),
    inference(res,[status(thm),theory(equality)],[11,23]),
    [iquote('0:Res:11.2,23.0')] ).

cnf(25,plain,
    richer(butler,agatha),
    inference(ssi,[status(thm)],[24,2]),
    [iquote('0:SSi:24.0,2.0')] ).

cnf(26,plain,
    ~ killed(butler,agatha),
    inference(res,[status(thm),theory(equality)],[25,4]),
    [iquote('0:Res:25.0,4.0')] ).

cnf(27,plain,
    killed(charles,agatha),
    inference(mrr,[status(thm)],[12,26]),
    [iquote('0:MRR:12.1,26.0')] ).

cnf(28,plain,
    hates(charles,agatha),
    inference(res,[status(thm),theory(equality)],[27,9]),
    [iquote('0:Res:27.0,9.0')] ).

cnf(29,plain,
    ~ hates(agatha,agatha),
    inference(res,[status(thm),theory(equality)],[28,5]),
    [iquote('0:Res:28.0,5.0')] ).

cnf(30,plain,
    $false,
    inference(mrr,[status(thm)],[29,7]),
    [iquote('0:MRR:29.0,7.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n025.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 : Sat May 28 22:31:41 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.41  
% 0.20/0.41  SPASS V 3.9 
% 0.20/0.41  SPASS beiseite: Proof found.
% 0.20/0.41  % SZS status Theorem
% 0.20/0.41  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.41  SPASS derived 11 clauses, backtracked 0 clauses, performed 0 splits and kept 21 clauses.
% 0.20/0.41  SPASS allocated 75598 KBytes.
% 0.20/0.41  SPASS spent	0:00:00.06 on the problem.
% 0.20/0.41  		0:00:00.04 for the input.
% 0.20/0.41  		0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.41  		0:00:00.00 for inferences.
% 0.20/0.41  		0:00:00.00 for the backtracking.
% 0.20/0.41  		0:00:00.00 for the reduction.
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  Here is a proof with depth 4, length 21 :
% 0.20/0.41  % SZS output start Refutation
% See solution above
% 0.20/0.41  Formulae used in the proof : butler poorer_killer different_hates no_one_hates_everyone agatha_hates_agatha agatha_hates_charles killer_hates_victim same_hates butler_hates_poor prove_neither_charles_nor_butler_did_it
% 0.20/0.41  
%------------------------------------------------------------------------------