TSTP Solution File: PUZ035-4 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ035-4 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n031.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 14:45:00 EDT 2024

% Result   : Unsatisfiable 0.15s 0.32s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  10   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f31,plain,
    $false,
    inference(subsumption_resolution,[],[f30,f29]) ).

fof(f29,plain,
    ! [X0] : ~ truth(isa(asked,X0)),
    inference(subsumption_resolution,[],[f28,f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ truth(isa(other,X0))
      | ~ truth(isa(asked,X1)) ),
    inference(subsumption_resolution,[],[f19,f14]) ).

fof(f14,axiom,
    ! [X1,X6,X7] :
      ( ~ says(asked,X1)
      | ~ truth(isa(other,X7))
      | ~ truth(isa(asked,X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_answer) ).

fof(f19,plain,
    ! [X0,X1] :
      ( says(asked,or(isa(asked,knight),isa(other,knight)))
      | ~ truth(isa(other,X0))
      | ~ truth(isa(asked,X1)) ),
    inference(resolution,[],[f5,f14]) ).

fof(f5,axiom,
    ( says(asked,not(or(isa(asked,knight),isa(other,knight))))
    | says(asked,or(isa(asked,knight),isa(other,knight))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_is_knight_answer) ).

fof(f28,plain,
    ! [X0] :
      ( ~ truth(isa(asked,X0))
      | truth(isa(other,knight)) ),
    inference(resolution,[],[f24,f16]) ).

fof(f16,plain,
    ( truth(isa(other,knave))
    | truth(isa(other,knight)) ),
    inference(resolution,[],[f1,f13]) ).

fof(f13,axiom,
    person(other),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',other_person) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ person(X0)
      | truth(isa(X0,knave))
      | truth(isa(X0,knight)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',everyone_a_knight_or_knave) ).

fof(f30,plain,
    truth(isa(asked,knight)),
    inference(resolution,[],[f29,f15]) ).

fof(f15,plain,
    ( truth(isa(asked,knave))
    | truth(isa(asked,knight)) ),
    inference(resolution,[],[f1,f12]) ).

fof(f12,axiom,
    person(asked),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',asked_person) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem    : PUZ035-4 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30  % Computer : n031.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Apr 30 02:32:58 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.31  % (9915)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32  % (9918)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)
% 0.15/0.32  % (9920)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.32  % (9921)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.32  % (9917)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.32  % (9916)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.32  % (9922)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)
% 0.15/0.32  % (9919)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.32  % (9920)First to succeed.
% 0.15/0.32  % (9921)Also succeeded, but the first one will report.
% 0.15/0.32  TRYING [1]
% 0.15/0.32  Detected minimum model sizes of [1,1,1]
% 0.15/0.32  Detected maximum model sizes of [2,max,2]
% 0.15/0.32  TRYING [1,1,1]
% 0.15/0.32  TRYING [1]
% 0.15/0.32  TRYING [2]
% 0.15/0.32  Detected minimum model sizes of [1,1,1]
% 0.15/0.32  TRYING [1,2,1]
% 0.15/0.32  Detected maximum model sizes of [2,max,2]
% 0.15/0.32  TRYING [2]
% 0.15/0.32  TRYING [1,1,1]
% 0.15/0.32  % (9918)Also succeeded, but the first one will report.
% 0.15/0.32  % (9920)Refutation found. Thanks to Tanya!
% 0.15/0.32  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.32  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.32  % (9920)------------------------------
% 0.15/0.32  % (9920)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.32  % (9920)Termination reason: Refutation
% 0.15/0.32  
% 0.15/0.32  % (9920)Memory used [KB]: 748
% 0.15/0.32  % (9920)Time elapsed: 0.003 s
% 0.15/0.32  % (9920)Instructions burned: 3 (million)
% 0.15/0.32  % (9920)------------------------------
% 0.15/0.32  % (9920)------------------------------
% 0.15/0.32  % (9915)Success in time 0.017 s
%------------------------------------------------------------------------------