TSTP Solution File: PUZ027-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ027-1 : 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 : n026.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 08:49:38 EDT 2024

% Result   : Unsatisfiable 0.16s 0.39s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   32 (   6 unt;   0 def)
%            Number of atoms       :   71 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   85 (  46   ~;  39   |;   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    :   14 (  14 usr;  11 con; 0-1 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f64,plain,
    $false,
    inference(subsumption_resolution,[],[f63,f57]) ).

fof(f57,plain,
    ~ a_truth(truthteller(a)),
    inference(subsumption_resolution,[],[f56,f33]) ).

fof(f33,plain,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(truthteller(a)) ),
    inference(subsumption_resolution,[],[f23,f32]) ).

fof(f32,axiom,
    ! [X2] : ~ answer(X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_an_answer) ).

fof(f23,axiom,
    ( answer(a_and_b_truthteller)
    | ~ a_truth(truthteller(b))
    | ~ a_truth(truthteller(a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_truthteller) ).

fof(f56,plain,
    ( a_truth(truthteller(b))
    | ~ a_truth(truthteller(a)) ),
    inference(subsumption_resolution,[],[f49,f35]) ).

fof(f35,plain,
    ( ~ a_truth(liar(b))
    | ~ a_truth(truthteller(a)) ),
    inference(subsumption_resolution,[],[f25,f32]) ).

fof(f25,axiom,
    ( answer(a_truthteller_b_liar)
    | ~ a_truth(liar(b))
    | ~ a_truth(truthteller(a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_truthteller_b_liar) ).

fof(f49,plain,
    ( a_truth(liar(b))
    | a_truth(truthteller(b))
    | ~ a_truth(truthteller(a)) ),
    inference(resolution,[],[f1,f34]) ).

fof(f34,plain,
    ( ~ a_truth(normal(b))
    | ~ a_truth(truthteller(a)) ),
    inference(subsumption_resolution,[],[f24,f32]) ).

fof(f24,axiom,
    ( answer(a_truthteller_b_normal)
    | ~ a_truth(normal(b))
    | ~ a_truth(truthteller(a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_truthteller_b_normal) ).

fof(f1,axiom,
    ! [X0] :
      ( a_truth(normal(X0))
      | a_truth(liar(X0))
      | a_truth(truthteller(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person_is_one_type) ).

fof(f63,plain,
    a_truth(truthteller(a)),
    inference(subsumption_resolution,[],[f62,f53]) ).

fof(f53,plain,
    ~ a_truth(liar(a)),
    inference(subsumption_resolution,[],[f52,f41]) ).

fof(f41,plain,
    ( ~ a_truth(liar(b))
    | ~ a_truth(liar(a)) ),
    inference(subsumption_resolution,[],[f31,f32]) ).

fof(f31,axiom,
    ( answer(a_and_b_liar)
    | ~ a_truth(liar(b))
    | ~ a_truth(liar(a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_liar) ).

fof(f52,plain,
    ( a_truth(liar(b))
    | ~ a_truth(liar(a)) ),
    inference(subsumption_resolution,[],[f47,f39]) ).

fof(f39,plain,
    ( ~ a_truth(liar(a))
    | ~ a_truth(truthteller(b)) ),
    inference(subsumption_resolution,[],[f29,f32]) ).

fof(f29,axiom,
    ( answer(a_liar_b_truthteller)
    | ~ a_truth(truthteller(b))
    | ~ a_truth(liar(a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_liar_b_truthteller) ).

fof(f47,plain,
    ( a_truth(liar(b))
    | a_truth(truthteller(b))
    | ~ a_truth(liar(a)) ),
    inference(resolution,[],[f1,f40]) ).

fof(f40,plain,
    ( ~ a_truth(normal(b))
    | ~ a_truth(liar(a)) ),
    inference(subsumption_resolution,[],[f30,f32]) ).

fof(f30,axiom,
    ( answer(a_liar_b_normal)
    | ~ a_truth(normal(b))
    | ~ a_truth(liar(a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_liar_b_normal) ).

fof(f62,plain,
    ( a_truth(liar(a))
    | a_truth(truthteller(a)) ),
    inference(resolution,[],[f55,f1]) ).

fof(f55,plain,
    ~ a_truth(normal(a)),
    inference(subsumption_resolution,[],[f54,f38]) ).

fof(f38,plain,
    ( ~ a_truth(normal(a))
    | ~ a_truth(liar(b)) ),
    inference(subsumption_resolution,[],[f28,f32]) ).

fof(f28,axiom,
    ( answer(a_normal_b_liar)
    | ~ a_truth(liar(b))
    | ~ a_truth(normal(a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_normal_b_liar) ).

fof(f54,plain,
    ( a_truth(liar(b))
    | ~ a_truth(normal(a)) ),
    inference(subsumption_resolution,[],[f48,f36]) ).

fof(f36,plain,
    ( ~ a_truth(normal(a))
    | ~ a_truth(truthteller(b)) ),
    inference(subsumption_resolution,[],[f26,f32]) ).

fof(f26,axiom,
    ( answer(a_normal_b_truthteller)
    | ~ a_truth(truthteller(b))
    | ~ a_truth(normal(a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_normal_b_truthteller) ).

fof(f48,plain,
    ( a_truth(liar(b))
    | a_truth(truthteller(b))
    | ~ a_truth(normal(a)) ),
    inference(resolution,[],[f1,f37]) ).

fof(f37,plain,
    ( ~ a_truth(normal(b))
    | ~ a_truth(normal(a)) ),
    inference(subsumption_resolution,[],[f27,f32]) ).

fof(f27,axiom,
    ( answer(a_and_b_normal)
    | ~ a_truth(normal(b))
    | ~ a_truth(normal(a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_normal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : PUZ027-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n026.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 18:00:38 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.37  % (30015)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38  % (30019)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38  % (30020)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38  % (30023)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.38  % (30021)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)
% 0.16/0.38  % (30022)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.38  % (30024)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.38  % (30025)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)
% 0.16/0.39  % (30023)First to succeed.
% 0.16/0.39  % (30024)Also succeeded, but the first one will report.
% 0.16/0.39  % (30023)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30015"
% 0.16/0.39  TRYING [1]
% 0.16/0.39  % (30021)Also succeeded, but the first one will report.
% 0.16/0.39  Detected minimum model sizes of [1,1,1]
% 0.16/0.39  Detected maximum model sizes of [max,2,9]
% 0.16/0.39  Detected minimum model sizes of [1,1,1]
% 0.16/0.39  TRYING [1,1,1]
% 0.16/0.39  TRYING [2]
% 0.16/0.39  Detected maximum model sizes of [max,2,9]
% 0.16/0.39  TRYING [1]
% 0.16/0.39  % (30023)Refutation found. Thanks to Tanya!
% 0.16/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39  % (30023)------------------------------
% 0.16/0.39  % (30023)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.39  % (30023)Termination reason: Refutation
% 0.16/0.39  
% 0.16/0.39  % (30023)Memory used [KB]: 771
% 0.16/0.39  % (30023)Time elapsed: 0.004 s
% 0.16/0.39  % (30023)Instructions burned: 3 (million)
% 0.16/0.39  % (30015)Success in time 0.019 s
%------------------------------------------------------------------------------