TSTP Solution File: SWV412+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV412+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n025.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 05:55:39 EDT 2024

% Result   : Theorem 0.40s 0.59s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   5 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   46 (  15   ~;   7   |;  20   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   38 (  26   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f79,plain,
    $false,
    inference(subsumption_resolution,[],[f78,f38]) ).

fof(f38,plain,
    pair_in_list(sK0,sK1,sK2),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( ~ pair_in_list(update_slb(sK0,sK3),sK1,sK3)
    & strictly_less_than(sK2,sK3)
    & strictly_less_than(sK1,sK3)
    & pair_in_list(sK0,sK1,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f26,f31]) ).

fof(f31,plain,
    ( ? [X0,X1,X2,X3] :
        ( ~ pair_in_list(update_slb(X0,X3),X1,X3)
        & strictly_less_than(X2,X3)
        & strictly_less_than(X1,X3)
        & pair_in_list(X0,X1,X2) )
   => ( ~ pair_in_list(update_slb(sK0,sK3),sK1,sK3)
      & strictly_less_than(sK2,sK3)
      & strictly_less_than(sK1,sK3)
      & pair_in_list(sK0,sK1,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    ? [X0,X1,X2,X3] :
      ( ~ pair_in_list(update_slb(X0,X3),X1,X3)
      & strictly_less_than(X2,X3)
      & strictly_less_than(X1,X3)
      & pair_in_list(X0,X1,X2) ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ? [X0,X1,X2,X3] :
      ( ~ pair_in_list(update_slb(X0,X3),X1,X3)
      & strictly_less_than(X2,X3)
      & strictly_less_than(X1,X3)
      & pair_in_list(X0,X1,X2) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( strictly_less_than(X2,X3)
          & strictly_less_than(X1,X3)
          & pair_in_list(X0,X1,X2) )
       => pair_in_list(update_slb(X0,X3),X1,X3) ),
    inference(negated_conjecture,[],[f20]) ).

fof(f20,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( strictly_less_than(X2,X3)
        & strictly_less_than(X1,X3)
        & pair_in_list(X0,X1,X2) )
     => pair_in_list(update_slb(X0,X3),X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l48_co) ).

fof(f78,plain,
    ~ pair_in_list(sK0,sK1,sK2),
    inference(resolution,[],[f73,f41]) ).

fof(f41,plain,
    ~ pair_in_list(update_slb(sK0,sK3),sK1,sK3),
    inference(cnf_transformation,[],[f32]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( pair_in_list(update_slb(X0,sK3),X1,sK3)
      | ~ pair_in_list(X0,X1,sK2) ),
    inference(resolution,[],[f37,f40]) ).

fof(f40,plain,
    strictly_less_than(sK2,sK3),
    inference(cnf_transformation,[],[f32]) ).

fof(f37,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictly_less_than(X2,X3)
      | pair_in_list(update_slb(X0,X3),X1,X3)
      | ~ pair_in_list(X0,X1,X2) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1,X2,X3] :
      ( pair_in_list(update_slb(X0,X3),X1,X3)
      | ~ strictly_less_than(X2,X3)
      | ~ pair_in_list(X0,X1,X2) ),
    inference(flattening,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1,X2,X3] :
      ( pair_in_list(update_slb(X0,X3),X1,X3)
      | ~ strictly_less_than(X2,X3)
      | ~ pair_in_list(X0,X1,X2) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0,X1,X2,X3] :
      ( ( strictly_less_than(X2,X3)
        & pair_in_list(X0,X1,X2) )
     => pair_in_list(update_slb(X0,X3),X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l48_li3839) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : SWV412+1 : TPTP v8.2.0. Released v3.3.0.
% 0.04/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.29  % Computer : n025.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Sun May 19 08:43:07 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.30  This is a FOF_THM_RFO_SEQ problem
% 0.09/0.30  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.59  % (30759)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 (2997ds/56Mi)
% 0.40/0.59  % (30752)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 (2997ds/34Mi)
% 0.40/0.59  % (30754)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2997ds/78Mi)
% 0.40/0.59  % (30755)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2997ds/33Mi)
% 0.40/0.59  % (30759)First to succeed.
% 0.40/0.59  % (30753)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 (2997ds/51Mi)
% 0.40/0.59  % (30757)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2997ds/45Mi)
% 0.40/0.59  % (30756)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 (2997ds/34Mi)
% 0.40/0.59  % (30758)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2997ds/83Mi)
% 0.40/0.59  % (30759)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30751"
% 0.40/0.59  % (30759)Refutation found. Thanks to Tanya!
% 0.40/0.59  % SZS status Theorem for theBenchmark
% 0.40/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.40/0.59  % (30759)------------------------------
% 0.40/0.59  % (30759)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.59  % (30759)Termination reason: Refutation
% 0.40/0.59  
% 0.40/0.59  % (30759)Memory used [KB]: 1015
% 0.40/0.59  % (30759)Time elapsed: 0.002 s
% 0.40/0.59  % (30759)Instructions burned: 3 (million)
% 0.40/0.59  % (30751)Success in time 0.292 s
% 0.40/0.60  % Vampire---4.8 exiting
%------------------------------------------------------------------------------