TSTP Solution File: SYN372+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN372+1 : 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 : n029.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 12:09:56 EDT 2024

% Result   : Theorem 0.17s 0.34s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   46 (  17   ~;   8   |;  10   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   24 (  10   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,plain,
    $false,
    inference(subsumption_resolution,[],[f12,f10]) ).

fof(f10,plain,
    ! [X1] : big_p(X1),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ( ! [X1] :
        ( ~ big_q(X1)
        & big_p(X1) )
    & ( big_q(sK0)
      | ~ big_p(sK1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f7,f6]) ).

fof(f6,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ~ big_q(X1)
            & big_p(X1) )
        & ? [X2] :
            ( big_q(X0)
            | ~ big_p(X2) ) )
   => ( ! [X1] :
          ( ~ big_q(X1)
          & big_p(X1) )
      & ? [X2] :
          ( big_q(sK0)
          | ~ big_p(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ? [X2] :
        ( big_q(sK0)
        | ~ big_p(X2) )
   => ( big_q(sK0)
      | ~ big_p(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ? [X0] :
      ( ! [X1] :
          ( ~ big_q(X1)
          & big_p(X1) )
      & ? [X2] :
          ( big_q(X0)
          | ~ big_p(X2) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,plain,
    ? [X0] :
      ( ! [X2] :
          ( ~ big_q(X2)
          & big_p(X2) )
      & ? [X1] :
          ( big_q(X0)
          | ~ big_p(X1) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ! [X0] :
        ( ? [X1] :
            ( big_p(X1)
           => big_q(X0) )
       => ? [X2] :
            ( big_p(X2)
           => big_q(X2) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ? [X1] :
            ( big_p(X1)
           => big_q(X0) )
       => ? [X1] :
            ( big_p(X1)
           => big_q(X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ? [X1] :
          ( big_p(X1)
         => big_q(X0) )
     => ? [X1] :
          ( big_p(X1)
         => big_q(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2123) ).

fof(f12,plain,
    ~ big_p(sK1),
    inference(subsumption_resolution,[],[f9,f11]) ).

fof(f11,plain,
    ! [X1] : ~ big_q(X1),
    inference(cnf_transformation,[],[f8]) ).

fof(f9,plain,
    ( big_q(sK0)
    | ~ big_p(sK1) ),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SYN372+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 17:20:23 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.17/0.33  % (16623)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.34  % (16627)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.17/0.34  % (16625)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.34  % (16629)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.17/0.34  % (16626)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)
% 0.17/0.34  % (16630)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)
% 0.17/0.34  % (16628)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.17/0.34  % (16624)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.17/0.34  Detected minimum model sizes of [1,1]
% 0.17/0.34  Detected minimum model sizes of [1,1]
% 0.17/0.34  Detected minimum model sizes of [1]
% 0.17/0.34  Detected minimum model sizes of [1]
% 0.17/0.34  Detected maximum model sizes of [1,1]
% 0.17/0.34  Detected maximum model sizes of [2]
% 0.17/0.34  Detected maximum model sizes of [2]
% 0.17/0.34  TRYING [1]
% 0.17/0.34  TRYING [1,1]
% 0.17/0.34  TRYING [1]
% 0.17/0.34  Detected maximum model sizes of [1,1]
% 0.17/0.34  TRYING [1,1]
% 0.17/0.34  Cannot enumerate next child to try in an incomplete setup
% 0.17/0.34  % (16624)Also succeeded, but the first one will report.
% 0.17/0.34  % (16629)Also succeeded, but the first one will report.
% 0.17/0.34  % (16630)Also succeeded, but the first one will report.
% 0.17/0.34  Cannot enumerate next child to try in an incomplete setup
% 0.17/0.34  % (16625)Refutation not found, incomplete strategy% (16625)------------------------------
% 0.17/0.34  % (16625)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.34  % (16628)First to succeed.
% 0.17/0.34  % (16625)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.34  
% 0.17/0.34  % (16625)Memory used [KB]: 722
% 0.17/0.34  % (16625)Time elapsed: 0.002 s
% 0.17/0.34  % (16625)Instructions burned: 2 (million)
% 0.17/0.34  % (16627)Refutation not found, incomplete strategy% (16627)------------------------------
% 0.17/0.34  % (16627)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.34  % (16627)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.34  
% 0.17/0.34  % (16627)Memory used [KB]: 722
% 0.17/0.34  % (16627)Time elapsed: 0.003 s
% 0.17/0.34  % (16627)Instructions burned: 2 (million)
% 0.17/0.34  % (16626)Also succeeded, but the first one will report.
% 0.17/0.34  % (16625)------------------------------
% 0.17/0.34  % (16625)------------------------------
% 0.17/0.34  % (16627)------------------------------
% 0.17/0.34  % (16627)------------------------------
% 0.17/0.34  % (16628)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16623"
% 0.17/0.34  % (16628)Refutation found. Thanks to Tanya!
% 0.17/0.34  % SZS status Theorem for theBenchmark
% 0.17/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.34  % (16628)------------------------------
% 0.17/0.34  % (16628)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.34  % (16628)Termination reason: Refutation
% 0.17/0.34  
% 0.17/0.34  % (16628)Memory used [KB]: 727
% 0.17/0.34  % (16628)Time elapsed: 0.003 s
% 0.17/0.34  % (16628)Instructions burned: 2 (million)
% 0.17/0.34  % (16623)Success in time 0.016 s
%------------------------------------------------------------------------------