TSTP Solution File: PUZ023-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ023-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n003.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 May 21 02:29:02 EDT 2024

% Result   : Unsatisfiable 0.14s 0.39s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  21   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-1 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(subsumption_resolution,[],[f34,f29]) ).

fof(f29,plain,
    a_truth(truthteller(b)),
    inference(resolution,[],[f28,f1]) ).

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

fof(f28,plain,
    ~ a_truth(liar(b)),
    inference(subsumption_resolution,[],[f27,f25]) ).

fof(f25,plain,
    ( ~ a_truth(liar(b))
    | a_truth(truthteller(c)) ),
    inference(resolution,[],[f24,f1]) ).

fof(f24,plain,
    ( ~ a_truth(liar(c))
    | ~ a_truth(liar(b)) ),
    inference(subsumption_resolution,[],[f18,f22]) ).

fof(f22,axiom,
    ! [X0] : ~ an_answer(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_an_answer) ).

fof(f18,axiom,
    ( an_answer(b_and_c_liars)
    | ~ a_truth(liar(c))
    | ~ a_truth(liar(b)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_and_c_liars) ).

fof(f27,plain,
    ( ~ a_truth(liar(b))
    | ~ a_truth(truthteller(c)) ),
    inference(subsumption_resolution,[],[f19,f22]) ).

fof(f19,axiom,
    ( an_answer(b_liar_and_c_truthteller)
    | ~ a_truth(liar(b))
    | ~ a_truth(truthteller(c)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_liar_and_c_truthteller) ).

fof(f34,plain,
    ~ a_truth(truthteller(b)),
    inference(subsumption_resolution,[],[f33,f32]) ).

fof(f32,plain,
    a_truth(truthteller(c)),
    inference(resolution,[],[f31,f1]) ).

fof(f31,plain,
    ~ a_truth(liar(c)),
    inference(subsumption_resolution,[],[f30,f29]) ).

fof(f30,plain,
    ( ~ a_truth(liar(c))
    | ~ a_truth(truthteller(b)) ),
    inference(subsumption_resolution,[],[f20,f22]) ).

fof(f20,axiom,
    ( an_answer(b_truthteller_and_c_liar)
    | ~ a_truth(liar(c))
    | ~ a_truth(truthteller(b)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_truthteller_and_c_liar) ).

fof(f33,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(truthteller(b)) ),
    inference(subsumption_resolution,[],[f21,f22]) ).

fof(f21,axiom,
    ( an_answer(b_and_c_truthtellers)
    | ~ a_truth(truthteller(c))
    | ~ a_truth(truthteller(b)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_and_c_truthtellers) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PUZ023-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 18 10:35:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (27828)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (27832)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  Detected minimum model sizes of [1,1,1]
% 0.14/0.37  Detected maximum model sizes of [max,3,4]
% 0.14/0.37  TRYING [1,1,1]
% 0.14/0.37  TRYING [2,1,1]
% 0.14/0.38  TRYING [3,1,1]
% 0.14/0.38  TRYING [2,2,1]
% 0.14/0.38  TRYING [4,1,1]
% 0.14/0.38  TRYING [3,2,1]
% 0.14/0.38  % (27829)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (27830)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (27831)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)
% 0.14/0.38  % (27833)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (27834)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (27835)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)
% 0.14/0.39  % (27833)First to succeed.
% 0.14/0.39  TRYING [3,1,2]
% 0.14/0.39  % (27833)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27828"
% 0.14/0.39  % (27834)Also succeeded, but the first one will report.
% 0.14/0.39  % (27831)Also succeeded, but the first one will report.
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2,2,2]
% 0.14/0.39  Detected minimum model sizes of [1,1,1]
% 0.14/0.39  Detected maximum model sizes of [max,3,4]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  % (27833)Refutation found. Thanks to Tanya!
% 0.14/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39  % (27833)------------------------------
% 0.14/0.39  % (27833)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39  % (27833)Termination reason: Refutation
% 0.14/0.39  
% 0.14/0.39  % (27833)Memory used [KB]: 766
% 0.14/0.39  % (27833)Time elapsed: 0.005 s
% 0.14/0.39  % (27833)Instructions burned: 2 (million)
% 0.14/0.39  % (27828)Success in time 0.033 s
%------------------------------------------------------------------------------