TSTP Solution File: PUZ024-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ024-1 : 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 : n022.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 : Sun May  5 08:49:37 EDT 2024

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   26 (  12   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f31,plain,
    $false,
    inference(resolution,[],[f28,f17]) ).

fof(f17,axiom,
    people(c,b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_b_a_people) ).

fof(f28,plain,
    ! [X0,X4,X5] : ~ people(X0,X4,X5),
    inference(subsumption_resolution,[],[f27,f20]) ).

fof(f20,axiom,
    ! [X1] : ~ a_truth(truthteller(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_truthteller) ).

fof(f27,plain,
    ! [X0,X4,X5] :
      ( a_truth(truthteller(X0))
      | ~ people(X0,X4,X5) ),
    inference(subsumption_resolution,[],[f26,f20]) ).

fof(f26,plain,
    ! [X0,X4,X5] :
      ( a_truth(truthteller(X4))
      | a_truth(truthteller(X0))
      | ~ people(X0,X4,X5) ),
    inference(subsumption_resolution,[],[f25,f20]) ).

fof(f25,plain,
    ! [X0,X4,X5] :
      ( a_truth(truthteller(X5))
      | a_truth(truthteller(X4))
      | a_truth(truthteller(X0))
      | ~ people(X0,X4,X5) ),
    inference(subsumption_resolution,[],[f14,f23]) ).

fof(f23,plain,
    ~ a_truth(all_are_liars),
    inference(resolution,[],[f22,f18]) ).

fof(f18,axiom,
    a_truth(says(a,all_are_liars)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_says_all_are_liars) ).

fof(f22,plain,
    ! [X2,X3] :
      ( ~ a_truth(says(X3,X2))
      | ~ a_truth(X2) ),
    inference(subsumption_resolution,[],[f4,f21]) ).

fof(f21,plain,
    ! [X0] : a_truth(liar(X0)),
    inference(subsumption_resolution,[],[f1,f20]) ).

fof(f1,axiom,
    ! [X0] :
      ( a_truth(liar(X0))
      | a_truth(truthteller(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthteller_or_liar) ).

fof(f4,axiom,
    ! [X2,X3] :
      ( ~ a_truth(X2)
      | ~ a_truth(liar(X3))
      | ~ a_truth(says(X3,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',liars_lie) ).

fof(f14,axiom,
    ! [X0,X4,X5] :
      ( a_truth(all_are_liars)
      | a_truth(truthteller(X5))
      | a_truth(truthteller(X4))
      | a_truth(truthteller(X0))
      | ~ people(X0,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_truthtellers) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : PUZ024-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 18:17:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (11724)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (11729)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37  Detected minimum model sizes of [1,1]
% 0.13/0.37  Detected maximum model sizes of [max,3]
% 0.13/0.37  TRYING [1,1]
% 0.13/0.37  TRYING [2,1]
% 0.13/0.37  TRYING [3,1]
% 0.13/0.37  % (11725)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37  % (11728)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)
% 0.13/0.37  % (11730)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37  % (11727)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  TRYING [2,2]
% 0.13/0.37  % (11731)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37  % (11732)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)
% 0.13/0.37  % (11730)First to succeed.
% 0.13/0.37  TRYING [4,1]
% 0.13/0.37  % (11730)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11724"
% 0.13/0.37  TRYING [1]
% 0.13/0.37  % (11731)Also succeeded, but the first one will report.
% 0.13/0.37  TRYING [2]
% 0.13/0.37  Detected minimum model sizes of [1,1]
% 0.13/0.37  Detected maximum model sizes of [max,3]
% 0.13/0.37  TRYING [1,1]
% 0.13/0.37  % (11728)Also succeeded, but the first one will report.
% 0.13/0.37  TRYING [1]
% 0.13/0.37  % (11730)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (11730)------------------------------
% 0.13/0.37  % (11730)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37  % (11730)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (11730)Memory used [KB]: 763
% 0.13/0.37  % (11730)Time elapsed: 0.003 s
% 0.13/0.37  % (11730)Instructions burned: 2 (million)
% 0.13/0.37  % (11724)Success in time 0.019 s
%------------------------------------------------------------------------------