TSTP Solution File: SYN411+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN411+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 : n004.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 12:10:05 EDT 2024

% Result   : Theorem 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   2 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   34 (  18   ~;   8   |;   3   &)
%                                         (   2 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   60 (  36   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,plain,
    $false,
    inference(subsumption_resolution,[],[f12,f9]) ).

fof(f9,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( f(X6,X7,X8)
      | f(X9,X10,X11) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ( ( ~ f(sK0,sK1,sK2)
      | ~ f(sK3,sK4,sK5) )
    & ( ! [X6,X7,X8] : f(X6,X7,X8)
      | ! [X9,X10,X11] : f(X9,X10,X11) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f5,f7,f6]) ).

fof(f6,plain,
    ( ? [X0,X1,X2] : ~ f(X0,X1,X2)
   => ~ f(sK0,sK1,sK2) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ? [X3,X4,X5] : ~ f(X3,X4,X5)
   => ~ f(sK3,sK4,sK5) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ( ( ? [X0,X1,X2] : ~ f(X0,X1,X2)
      | ? [X3,X4,X5] : ~ f(X3,X4,X5) )
    & ( ! [X6,X7,X8] : f(X6,X7,X8)
      | ! [X9,X10,X11] : f(X9,X10,X11) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,plain,
    ( ( ? [X3,X4,X5] : ~ f(X3,X4,X5)
      | ? [X0,X1,X2] : ~ f(X0,X1,X2) )
    & ( ! [X3,X4,X5] : f(X3,X4,X5)
      | ! [X0,X1,X2] : f(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,plain,
    ( ! [X0,X1,X2] : f(X0,X1,X2)
  <~> ! [X3,X4,X5] : f(X3,X4,X5) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ! [X0,X1,X2] : f(X0,X1,X2)
    <=> ~ ? [X3,X4,X5] : ~ f(X3,X4,X5) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ! [X0,X1,X2] : f(X0,X1,X2)
  <=> ~ ? [X3,X4,X5] : ~ f(X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish250) ).

fof(f12,plain,
    ~ f(sK3,sK4,sK5),
    inference(subsumption_resolution,[],[f10,f9]) ).

fof(f10,plain,
    ( ~ f(sK0,sK1,sK2)
    | ~ f(sK3,sK4,sK5) ),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN411+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n004.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 17:24:23 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (13138)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (13139)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  % (13140)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  % (13141)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)
% 0.15/0.37  % (13142)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37  % (13143)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37  % (13144)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37  % (13145)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)
% 0.15/0.37  Detected minimum model sizes of [1]
% 0.15/0.37  Detected maximum model sizes of [6]
% 0.15/0.38  Detected minimum model sizes of [1,1,1]
% 0.15/0.38  Detected maximum model sizes of [2,2,2]
% 0.15/0.38  Detected minimum model sizes of [1,1,1]
% 0.15/0.38  Detected maximum model sizes of [2,2,2]
% 0.15/0.38  % (13143)First to succeed.
% 0.15/0.38  TRYING [1,1,1]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [6]
% 0.15/0.38  TRYING [2,1,1]
% 0.15/0.38  % (13144)Also succeeded, but the first one will report.
% 0.15/0.38  TRYING [2,2,1]
% 0.15/0.38  % (13141)Also succeeded, but the first one will report.
% 0.15/0.38  % (13143)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13138"
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2,1,2]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [1,1,1]
% 0.15/0.38  TRYING [2,2,2]
% 0.15/0.38  TRYING [2,1,1]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  % (13139)Also succeeded, but the first one will report.
% 0.15/0.38  TRYING [2,2,1]
% 0.15/0.38  Cannot enumerate next child to try in an incomplete setup
% 0.15/0.38  TRYING [2]
% 0.15/0.38  % (13142)Refutation not found, incomplete strategy% (13142)------------------------------
% 0.15/0.38  % (13142)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (13142)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38  
% 0.15/0.38  % (13142)Memory used [KB]: 727
% 0.15/0.38  % (13142)Time elapsed: 0.004 s
% 0.15/0.38  % (13142)Instructions burned: 4 (million)
% 0.15/0.38  TRYING [2,1,2]
% 0.15/0.38  % (13145)Also succeeded, but the first one will report.
% 0.15/0.38  % (13142)------------------------------
% 0.15/0.38  % (13142)------------------------------
% 0.15/0.38  TRYING [2,2,2]
% 0.15/0.38  % (13143)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Theorem for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (13143)------------------------------
% 0.15/0.38  % (13143)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (13143)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (13143)Memory used [KB]: 742
% 0.15/0.38  % (13143)Time elapsed: 0.003 s
% 0.15/0.38  % (13143)Instructions burned: 2 (million)
% 0.15/0.38  % (13138)Success in time 0.018 s
%------------------------------------------------------------------------------