TSTP Solution File: MGT052+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MGT052+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n017.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 00:42:27 EDT 2024

% Result   : Theorem 0.54s 0.74s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (   9 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   44 (  20   ~;  10   |;   4   &)
%                                         (   6 <=>;   3  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   34 (  30   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,plain,
    $false,
    inference(subsumption_resolution,[],[f25,f23]) ).

fof(f23,plain,
    is_aligned(sK0,sK1),
    inference(duplicate_literal_removal,[],[f22]) ).

fof(f22,plain,
    ( is_aligned(sK0,sK1)
    | is_aligned(sK0,sK1) ),
    inference(resolution,[],[f20,f19]) ).

fof(f19,plain,
    dissimilar(sK0,sK1,sK1),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    dissimilar(sK0,sK1,sK1),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f14,f16]) ).

fof(f16,plain,
    ( ? [X0,X1] : dissimilar(X0,X1,X1)
   => dissimilar(sK0,sK1,sK1) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ? [X0,X1] : dissimilar(X0,X1,X1),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,plain,
    ~ ! [X0,X1] : ~ dissimilar(X0,X1,X1),
    inference(rectify,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ! [X0,X4] : ~ dissimilar(X0,X4,X4),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ! [X0,X4] : ~ dissimilar(X0,X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background_assumption_1) ).

fof(f20,plain,
    ! [X2,X0,X1] :
      ( ~ dissimilar(X0,X1,X2)
      | is_aligned(X0,X1)
      | is_aligned(X0,X2) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( ( ( ~ is_aligned(X0,X2)
          | ~ is_aligned(X0,X1) )
        & ( is_aligned(X0,X2)
          | is_aligned(X0,X1) ) )
      | ~ dissimilar(X0,X1,X2) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1,X2] :
      ( ( is_aligned(X0,X1)
      <~> is_aligned(X0,X2) )
      | ~ dissimilar(X0,X1,X2) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1,X2] :
      ( dissimilar(X0,X1,X2)
     => ~ ( is_aligned(X0,X1)
        <=> is_aligned(X0,X2) ) ),
    inference(pure_predicate_removal,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1,X2] :
      ( dissimilar(X0,X1,X2)
     => ( ~ ( is_aligned(X0,X1)
          <=> is_aligned(X0,X2) )
        & organization(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1,X2] :
      ( dissimilar(X0,X1,X2)
    <=> ( ~ ( is_aligned(X0,X1)
          <=> is_aligned(X0,X2) )
        & organization(X0) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X3,X4] :
      ( dissimilar(X0,X3,X4)
    <=> ( ~ ( is_aligned(X0,X3)
          <=> is_aligned(X0,X4) )
        & organization(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).

fof(f25,plain,
    ~ is_aligned(sK0,sK1),
    inference(duplicate_literal_removal,[],[f24]) ).

fof(f24,plain,
    ( ~ is_aligned(sK0,sK1)
    | ~ is_aligned(sK0,sK1) ),
    inference(resolution,[],[f21,f19]) ).

fof(f21,plain,
    ! [X2,X0,X1] :
      ( ~ dissimilar(X0,X1,X2)
      | ~ is_aligned(X0,X1)
      | ~ is_aligned(X0,X2) ),
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MGT052+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % 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   : Sun May 19 00:09:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_EPR_SEQ problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.74  % (9427)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.54/0.74  % (9427)Refutation not found, incomplete strategy% (9427)------------------------------
% 0.54/0.74  % (9427)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (9427)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (9427)Memory used [KB]: 959
% 0.54/0.74  % (9427)Time elapsed: 0.001 s
% 0.54/0.74  % (9427)Instructions burned: 2 (million)
% 0.54/0.74  % (9427)------------------------------
% 0.54/0.74  % (9427)------------------------------
% 0.54/0.74  % (9424)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.54/0.74  % (9422)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.54/0.74  % (9425)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.54/0.74  % (9426)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.54/0.74  % (9423)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.54/0.74  % (9425)Refutation not found, incomplete strategy% (9425)------------------------------
% 0.54/0.74  % (9425)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (9425)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (9425)Memory used [KB]: 960
% 0.54/0.74  % (9425)Time elapsed: 0.002 s
% 0.54/0.74  % (9425)Instructions burned: 2 (million)
% 0.54/0.74  % (9425)------------------------------
% 0.54/0.74  % (9425)------------------------------
% 0.54/0.74  % (9424)Also succeeded, but the first one will report.
% 0.54/0.74  % (9422)First to succeed.
% 0.54/0.74  % (9426)Also succeeded, but the first one will report.
% 0.54/0.74  % (9422)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9421"
% 0.54/0.74  % (9423)Also succeeded, but the first one will report.
% 0.54/0.74  % (9429)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.54/0.74  % (9429)Refutation not found, incomplete strategy% (9429)------------------------------
% 0.54/0.74  % (9429)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (9429)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (9429)Memory used [KB]: 959
% 0.54/0.74  % (9429)Time elapsed: 0.001 s
% 0.54/0.74  % (9429)Instructions burned: 2 (million)
% 0.54/0.74  % (9422)Refutation found. Thanks to Tanya!
% 0.54/0.74  % SZS status Theorem for theBenchmark
% 0.54/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.54/0.74  % (9422)------------------------------
% 0.54/0.74  % (9422)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (9422)Termination reason: Refutation
% 0.54/0.74  
% 0.54/0.74  % (9422)Memory used [KB]: 989
% 0.54/0.74  % (9422)Time elapsed: 0.003 s
% 0.54/0.74  % (9422)Instructions burned: 2 (million)
% 0.54/0.74  % (9421)Success in time 0.387 s
% 0.54/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------