TSTP Solution File: LCL656+1.001 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL656+1.001 : TPTP v8.1.2. Released v4.0.0.
% 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 : n003.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 : Wed May  1 03:15:24 EDT 2024

% Result   : Theorem 0.63s 0.81s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :  264 (   0 equ)
%            Maximal formula atoms :   37 (  15 avg)
%            Number of connectives :  463 ( 216   ~; 154   |;  93   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   68 (  57   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f48,plain,
    $false,
    inference(unit_resulting_resolution,[],[f22,f21,f23,f32,f16]) ).

fof(f16,plain,
    ! [X1] :
      ( r1(X1,sK1(X1))
      | ~ r1(sK0,X1)
      | p101(X1)
      | ~ p100(X1) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( ( ( ~ p101(X1)
              | p100(X1) )
            & ( ~ p100(X1)
              | ( ( ~ p1(X1)
                  | ! [X2] :
                      ( ~ p100(X2)
                      | p1(X2)
                      | ~ r1(X1,X2) ) )
                & ( p1(X1)
                  | ! [X3] :
                      ( ~ p100(X3)
                      | ~ p1(X3)
                      | ~ r1(X1,X3) ) ) ) )
            & ( ~ p101(X1)
              | ( ( ~ p2(X1)
                  | ! [X4] :
                      ( ~ p101(X4)
                      | p2(X4)
                      | ~ r1(X1,X4) ) )
                & ( p2(X1)
                  | ! [X5] :
                      ( ~ p101(X5)
                      | ~ p2(X5)
                      | ~ r1(X1,X5) ) ) ) )
            & ( ~ p100(X1)
              | p101(X1)
              | ( ? [X6] :
                    ( p101(X6)
                    & p2(X6)
                    & r1(X1,X6) )
                & ? [X7] :
                    ( p101(X7)
                    & ~ p2(X7)
                    & r1(X1,X7) ) ) ) )
          | ~ r1(X0,X1) )
      & ! [X8] :
          ( p2(X8)
          | ~ r1(X0,X8) ) ),
    inference(flattening,[],[f7]) ).

fof(f7,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( ( ( ~ p101(X1)
              | p100(X1) )
            & ( ~ p100(X1)
              | ( ( ~ p1(X1)
                  | ! [X2] :
                      ( ~ p100(X2)
                      | p1(X2)
                      | ~ r1(X1,X2) ) )
                & ( p1(X1)
                  | ! [X3] :
                      ( ~ p100(X3)
                      | ~ p1(X3)
                      | ~ r1(X1,X3) ) ) ) )
            & ( ~ p101(X1)
              | ( ( ~ p2(X1)
                  | ! [X4] :
                      ( ~ p101(X4)
                      | p2(X4)
                      | ~ r1(X1,X4) ) )
                & ( p2(X1)
                  | ! [X5] :
                      ( ~ p101(X5)
                      | ~ p2(X5)
                      | ~ r1(X1,X5) ) ) ) )
            & ( ~ p100(X1)
              | p101(X1)
              | ( ? [X6] :
                    ( p101(X6)
                    & p2(X6)
                    & r1(X1,X6) )
                & ? [X7] :
                    ( p101(X7)
                    & ~ p2(X7)
                    & r1(X1,X7) ) ) ) )
          | ~ r1(X0,X1) )
      & ! [X8] :
          ( p2(X8)
          | ~ r1(X0,X8) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,plain,
    ? [X0] :
      ~ ( ~ ( p100(X0)
            & ~ p101(X0)
            & ! [X1] :
                ( ( ( ~ p101(X1)
                    | p100(X1) )
                  & ( ~ p100(X1)
                    | ( ( ~ p1(X1)
                        | ! [X2] :
                            ( ~ p100(X2)
                            | p1(X2)
                            | ~ r1(X1,X2) ) )
                      & ( p1(X1)
                        | ! [X3] :
                            ( ~ p100(X3)
                            | ~ p1(X3)
                            | ~ r1(X1,X3) ) ) ) )
                  & ( ~ p101(X1)
                    | ( ( ~ p2(X1)
                        | ! [X4] :
                            ( ~ p101(X4)
                            | p2(X4)
                            | ~ r1(X1,X4) ) )
                      & ( p2(X1)
                        | ! [X5] :
                            ( ~ p101(X5)
                            | ~ p2(X5)
                            | ~ r1(X1,X5) ) ) ) )
                  & ( ~ ( p100(X1)
                        & ~ p101(X1) )
                    | ( ~ ! [X6] :
                            ( ~ ( p101(X6)
                                & p2(X6) )
                            | ~ r1(X1,X6) )
                      & ~ ! [X7] :
                            ( ~ ( p101(X7)
                                & ~ p2(X7) )
                            | ~ r1(X1,X7) ) ) ) )
                | ~ r1(X0,X1) ) )
        | ~ ! [X8] :
              ( p2(X8)
              | ~ r1(X0,X8) ) ),
    inference(pure_predicate_removal,[],[f5]) ).

fof(f5,plain,
    ? [X0] :
      ~ ( ~ ( p100(X0)
            & ~ p101(X0)
            & ! [X1] :
                ( ( ( ~ p101(X1)
                    | p100(X1) )
                  & ( ~ p102(X1)
                    | p101(X1) )
                  & ( ~ p100(X1)
                    | ( ( ~ p1(X1)
                        | ! [X2] :
                            ( ~ p100(X2)
                            | p1(X2)
                            | ~ r1(X1,X2) ) )
                      & ( p1(X1)
                        | ! [X3] :
                            ( ~ p100(X3)
                            | ~ p1(X3)
                            | ~ r1(X1,X3) ) ) ) )
                  & ( ~ p101(X1)
                    | ( ( ~ p2(X1)
                        | ! [X4] :
                            ( ~ p101(X4)
                            | p2(X4)
                            | ~ r1(X1,X4) ) )
                      & ( p2(X1)
                        | ! [X5] :
                            ( ~ p101(X5)
                            | ~ p2(X5)
                            | ~ r1(X1,X5) ) ) ) )
                  & ( ~ ( p100(X1)
                        & ~ p101(X1) )
                    | ( ~ ! [X6] :
                            ( ~ ( p101(X6)
                                & ~ p102(X6)
                                & p2(X6) )
                            | ~ r1(X1,X6) )
                      & ~ ! [X7] :
                            ( ~ ( p101(X7)
                                & ~ p102(X7)
                                & ~ p2(X7) )
                            | ~ r1(X1,X7) ) ) ) )
                | ~ r1(X0,X1) ) )
        | ~ ! [X8] :
              ( p2(X8)
              | ~ r1(X0,X8) ) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ~ ~ ? [X0] :
          ~ ( ~ ( p100(X0)
                & ~ p101(X0)
                & ! [X1] :
                    ( ( ( ~ p101(X1)
                        | p100(X1) )
                      & ( ~ p102(X1)
                        | p101(X1) )
                      & ( ~ p100(X1)
                        | ( ( ~ p1(X1)
                            | ! [X2] :
                                ( ~ p100(X2)
                                | p1(X2)
                                | ~ r1(X1,X2) ) )
                          & ( p1(X1)
                            | ! [X3] :
                                ( ~ p100(X3)
                                | ~ p1(X3)
                                | ~ r1(X1,X3) ) ) ) )
                      & ( ~ p101(X1)
                        | ( ( ~ p2(X1)
                            | ! [X4] :
                                ( ~ p101(X4)
                                | p2(X4)
                                | ~ r1(X1,X4) ) )
                          & ( p2(X1)
                            | ! [X5] :
                                ( ~ p101(X5)
                                | ~ p2(X5)
                                | ~ r1(X1,X5) ) ) ) )
                      & ( ~ ( p100(X1)
                            & ~ p101(X1) )
                        | ( ~ ! [X6] :
                                ( ~ ( p101(X6)
                                    & ~ p102(X6)
                                    & p2(X6) )
                                | ~ r1(X1,X6) )
                          & ~ ! [X7] :
                                ( ~ ( p101(X7)
                                    & ~ p102(X7)
                                    & ~ p2(X7) )
                                | ~ r1(X1,X7) ) ) ) )
                    | ~ r1(X0,X1) ) )
            | ~ ! [X8] :
                  ( p2(X8)
                  | ~ r1(X0,X8) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ~ ( p100(X0)
                & ~ p101(X0)
                & ! [X1] :
                    ( ( ( ~ p101(X1)
                        | p100(X1) )
                      & ( ~ p102(X1)
                        | p101(X1) )
                      & ( ~ p100(X1)
                        | ( ( ~ p1(X1)
                            | ! [X0] :
                                ( ~ p100(X0)
                                | p1(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p1(X1)
                            | ! [X0] :
                                ( ~ p100(X0)
                                | ~ p1(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p101(X1)
                        | ( ( ~ p2(X1)
                            | ! [X0] :
                                ( ~ p101(X0)
                                | p2(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p2(X1)
                            | ! [X0] :
                                ( ~ p101(X0)
                                | ~ p2(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ ( p100(X1)
                            & ~ p101(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p101(X0)
                                    & ~ p102(X0)
                                    & p2(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p101(X0)
                                    & ~ p102(X0)
                                    & ~ p2(X0) )
                                | ~ r1(X1,X0) ) ) ) )
                    | ~ r1(X0,X1) ) )
            | ~ ! [X1] :
                  ( p2(X1)
                  | ~ r1(X0,X1) ) ),
    inference(negated_conjecture,[],[f2]) ).

fof(f2,conjecture,
    ~ ? [X0] :
        ~ ( ~ ( p100(X0)
              & ~ p101(X0)
              & ! [X1] :
                  ( ( ( ~ p101(X1)
                      | p100(X1) )
                    & ( ~ p102(X1)
                      | p101(X1) )
                    & ( ~ p100(X1)
                      | ( ( ~ p1(X1)
                          | ! [X0] :
                              ( ~ p100(X0)
                              | p1(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p1(X1)
                          | ! [X0] :
                              ( ~ p100(X0)
                              | ~ p1(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p101(X1)
                      | ( ( ~ p2(X1)
                          | ! [X0] :
                              ( ~ p101(X0)
                              | p2(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p2(X1)
                          | ! [X0] :
                              ( ~ p101(X0)
                              | ~ p2(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ ( p100(X1)
                          & ~ p101(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p101(X0)
                                  & ~ p102(X0)
                                  & p2(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p101(X0)
                                  & ~ p102(X0)
                                  & ~ p2(X0) )
                              | ~ r1(X1,X0) ) ) ) )
                  | ~ r1(X0,X1) ) )
          | ~ ! [X1] :
                ( p2(X1)
                | ~ r1(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ezmCQNVggL/Vampire---4.8_16560',main) ).

fof(f32,plain,
    ~ r1(sK0,sK1(sK0)),
    inference(unit_resulting_resolution,[],[f30,f20]) ).

fof(f20,plain,
    ! [X8] :
      ( ~ r1(sK0,X8)
      | p2(X8) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f30,plain,
    ~ p2(sK1(sK0)),
    inference(unit_resulting_resolution,[],[f22,f21,f23,f17]) ).

fof(f17,plain,
    ! [X1] :
      ( ~ p2(sK1(X1))
      | ~ r1(sK0,X1)
      | p101(X1)
      | ~ p100(X1) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f23,plain,
    ! [X0] : r1(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] : r1(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.ezmCQNVggL/Vampire---4.8_16560',reflexivity) ).

fof(f21,plain,
    ~ p101(sK0),
    inference(cnf_transformation,[],[f8]) ).

fof(f22,plain,
    p100(sK0),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : LCL656+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % 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
% 0.11/0.32  % Computer : n003.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   : Tue Apr 30 16:46:03 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_NEQ problem
% 0.11/0.33  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/tmp/tmp.ezmCQNVggL/Vampire---4.8_16560
% 0.63/0.81  % (16671)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.81  % (16669)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 Vampire---4 for (2995ds/34Mi)
% 0.63/0.81  % (16672)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.63/0.81  % (16673)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 Vampire---4 for (2995ds/34Mi)
% 0.63/0.81  % (16674)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.63/0.81  % (16675)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 Vampire---4 for (2995ds/83Mi)
% 0.63/0.81  % (16670)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 Vampire---4 for (2995ds/51Mi)
% 0.63/0.81  % (16676)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.63/0.81  % (16675)First to succeed.
% 0.63/0.81  % (16672)Also succeeded, but the first one will report.
% 0.63/0.81  % (16669)Also succeeded, but the first one will report.
% 0.63/0.81  % (16675)Refutation found. Thanks to Tanya!
% 0.63/0.81  % SZS status Theorem for Vampire---4
% 0.63/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.81  % (16675)------------------------------
% 0.63/0.81  % (16675)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (16675)Termination reason: Refutation
% 0.63/0.81  
% 0.63/0.81  % (16675)Memory used [KB]: 981
% 0.63/0.81  % (16675)Time elapsed: 0.004 s
% 0.63/0.81  % (16675)Instructions burned: 5 (million)
% 0.63/0.81  % (16675)------------------------------
% 0.63/0.81  % (16675)------------------------------
% 0.63/0.81  % (16668)Success in time 0.479 s
% 0.63/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------