TSTP Solution File: PUZ001-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n008.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  : 300s
% DateTime : Tue Apr 30 14:44:49 EDT 2024

% Result   : Unsatisfiable 0.15s 0.37s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   21 (  10 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  15   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 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 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f28,plain,
    $false,
    inference(subsumption_resolution,[],[f27,f15]) ).

fof(f15,plain,
    killed(butler,agatha),
    inference(subsumption_resolution,[],[f14,f7]) ).

fof(f7,axiom,
    hates(agatha,agatha),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agatha_hates_agatha) ).

fof(f14,plain,
    ( killed(butler,agatha)
    | ~ hates(agatha,agatha) ),
    inference(resolution,[],[f13,f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ~ hates(charles,X0)
      | ~ hates(agatha,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',different_hates) ).

fof(f13,plain,
    ( hates(charles,agatha)
    | killed(butler,agatha) ),
    inference(resolution,[],[f9,f12]) ).

fof(f12,axiom,
    ( killed(charles,agatha)
    | killed(butler,agatha) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_neither_charles_nor_butler_did_it) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ~ killed(X0,X1)
      | hates(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',killer_hates_victim) ).

fof(f27,plain,
    ~ killed(butler,agatha),
    inference(resolution,[],[f26,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ richer(X0,X1)
      | ~ killed(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',poorer_killer) ).

fof(f26,plain,
    richer(butler,agatha),
    inference(resolution,[],[f25,f20]) ).

fof(f20,plain,
    ( hates(butler,butler)
    | richer(butler,agatha) ),
    inference(resolution,[],[f11,f2]) ).

fof(f2,axiom,
    lives(butler),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',butler) ).

fof(f11,axiom,
    ! [X0] :
      ( ~ lives(X0)
      | richer(X0,agatha)
      | hates(butler,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',butler_hates_poor) ).

fof(f25,plain,
    ~ hates(butler,butler),
    inference(subsumption_resolution,[],[f23,f16]) ).

fof(f16,plain,
    hates(butler,agatha),
    inference(resolution,[],[f15,f9]) ).

fof(f23,plain,
    ( ~ hates(butler,butler)
    | ~ hates(butler,agatha) ),
    inference(resolution,[],[f6,f18]) ).

fof(f18,plain,
    hates(butler,charles),
    inference(resolution,[],[f10,f8]) ).

fof(f8,axiom,
    hates(agatha,charles),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agatha_hates_charles) ).

fof(f10,axiom,
    ! [X0] :
      ( ~ hates(agatha,X0)
      | hates(butler,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_hates) ).

fof(f6,axiom,
    ! [X0] :
      ( ~ hates(X0,charles)
      | ~ hates(X0,butler)
      | ~ hates(X0,agatha) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_one_hates_everyone) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PUZ001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n008.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 02:00:28 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (25588)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (25590)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  % (25592)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37  % (25593)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37  % (25591)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37  % (25594)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37  % (25589)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  % (25595)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  Detected minimum model sizes of [1]
% 0.15/0.37  % (25593)First to succeed.
% 0.15/0.37  Detected minimum model sizes of [1]
% 0.15/0.37  Detected maximum model sizes of [3]
% 0.15/0.37  Detected maximum model sizes of [3]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  Detected minimum model sizes of [1]
% 0.15/0.37  Detected maximum model sizes of [3]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  Detected minimum model sizes of [1]
% 0.15/0.37  Detected maximum model sizes of [3]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  % (25594)Also succeeded, but the first one will report.
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [3]
% 0.15/0.37  TRYING [3]
% 0.15/0.37  TRYING [3]
% 0.15/0.37  TRYING [3]
% 0.15/0.37  % (25593)Refutation found. Thanks to Tanya!
% 0.15/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37  % (25593)------------------------------
% 0.15/0.37  % (25593)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.37  % (25593)Termination reason: Refutation
% 0.15/0.37  
% 0.15/0.37  % (25593)Memory used [KB]: 745
% 0.15/0.37  % (25593)Time elapsed: 0.003 s
% 0.15/0.37  % (25593)Instructions burned: 2 (million)
% 0.15/0.37  % (25593)------------------------------
% 0.15/0.37  % (25593)------------------------------
% 0.15/0.37  % (25588)Success in time 0.007 s
%------------------------------------------------------------------------------