TSTP Solution File: MGT049+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : MGT049+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n002.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 Apr 30 13:55:08 EDT 2024

% Result   : Theorem 0.15s 0.37s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   3 unt;   0 def)
%            Number of atoms       :   55 (  22 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   52 (  16   ~;   8   |;  16   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   45 (  36   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f52,plain,
    $false,
    inference(unit_resulting_resolution,[],[f25,f27,f35]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ~ organization(X0)
      | position(X0,X2) = position(X0,X1) ),
    inference(subsumption_resolution,[],[f33,f31]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ organization(X0)
      | external_ties(X0,X2) = external_ties(X0,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( external_ties(X0,X2) = external_ties(X0,X1)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1,X2] :
      ( organization(X0)
     => external_ties(X0,X2) = external_ties(X0,X1) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X3,X4] :
      ( organization(X0)
     => external_ties(X0,X4) = external_ties(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_11) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( position(X0,X2) = position(X0,X1)
      | external_ties(X0,X2) != external_ties(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ( ( position(X0,X2) = position(X0,X1)
          | external_ties(X0,X2) != external_ties(X0,X1) )
        & ( greater(position(X0,X2),position(X0,X1))
          | ~ greater(external_ties(X0,X2),external_ties(X0,X1)) ) )
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1,X2] :
      ( organization(X0)
     => ( ( external_ties(X0,X2) = external_ties(X0,X1)
         => position(X0,X2) = position(X0,X1) )
        & ( greater(external_ties(X0,X2),external_ties(X0,X1))
         => greater(position(X0,X2),position(X0,X1)) ) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X3,X4] :
      ( organization(X0)
     => ( ( external_ties(X0,X4) = external_ties(X0,X3)
         => position(X0,X4) = position(X0,X3) )
        & ( greater(external_ties(X0,X4),external_ties(X0,X3))
         => greater(position(X0,X4),position(X0,X3)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6) ).

fof(f27,plain,
    position(sK0,sK2) != position(sK0,sK1),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ( position(sK0,sK2) != position(sK0,sK1)
    & greater(age(sK0,sK2),age(sK0,sK1))
    & organization(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f23]) ).

fof(f23,plain,
    ( ? [X0,X1,X2] :
        ( position(X0,X2) != position(X0,X1)
        & greater(age(X0,X2),age(X0,X1))
        & organization(X0) )
   => ( position(sK0,sK2) != position(sK0,sK1)
      & greater(age(sK0,sK2),age(sK0,sK1))
      & organization(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ? [X0,X1,X2] :
      ( position(X0,X2) != position(X0,X1)
      & greater(age(X0,X2),age(X0,X1))
      & organization(X0) ),
    inference(flattening,[],[f15]) ).

fof(f15,plain,
    ? [X0,X1,X2] :
      ( position(X0,X2) != position(X0,X1)
      & greater(age(X0,X2),age(X0,X1))
      & organization(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,plain,
    ~ ! [X0,X1,X2] :
        ( ( greater(age(X0,X2),age(X0,X1))
          & organization(X0) )
       => position(X0,X2) = position(X0,X1) ),
    inference(rectify,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X0,X3,X4] :
        ( ( greater(age(X0,X4),age(X0,X3))
          & organization(X0) )
       => position(X0,X4) = position(X0,X3) ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X0,X3,X4] :
      ( ( greater(age(X0,X4),age(X0,X3))
        & organization(X0) )
     => position(X0,X4) = position(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_6) ).

fof(f25,plain,
    organization(sK0),
    inference(cnf_transformation,[],[f24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : MGT049+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n002.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   : Tue Apr 30 03:56:55 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (30264)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (30267)WARNING: value z3 for option sas not known
% 0.15/0.37  % (30268)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37  % (30270)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.37  % (30266)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37  % (30267)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  % (30265)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37  % (30269)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.37  % (30271)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [3]
% 0.15/0.37  % (30271)First to succeed.
% 0.15/0.37  % (30267)Also succeeded, but the first one will report.
% 0.15/0.37  TRYING [4]
% 0.15/0.37  % (30271)Refutation found. Thanks to Tanya!
% 0.15/0.37  % SZS status Theorem for theBenchmark
% 0.15/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37  % (30271)------------------------------
% 0.15/0.37  % (30271)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.37  % (30271)Termination reason: Refutation
% 0.15/0.37  
% 0.15/0.37  % (30271)Memory used [KB]: 774
% 0.15/0.37  % (30271)Time elapsed: 0.004 s
% 0.15/0.37  % (30271)Instructions burned: 4 (million)
% 0.15/0.37  % (30271)------------------------------
% 0.15/0.37  % (30271)------------------------------
% 0.15/0.37  % (30264)Success in time 0.009 s
%------------------------------------------------------------------------------