TSTP Solution File: SWC371+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC371+1 : TPTP v8.1.2. 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 : 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 : Wed May  1 04:01:45 EDT 2024

% Result   : Theorem 0.60s 0.82s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   30 (  16 unt;   0 def)
%            Number of atoms       :  128 (  35 equ)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives :  148 (  50   ~;  45   |;  36   &)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   58 (  40   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1546,plain,
    $false,
    inference(subsumption_resolution,[],[f1545,f250]) ).

fof(f250,plain,
    ~ segmentP(sK3,sK2),
    inference(definition_unfolding,[],[f173,f171,f172]) ).

fof(f172,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X2
                    | nil = X3 )
                  & ~ segmentP(X1,X0)
                  & ? [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ~ leq(X7,X5)
                                      | app(X8,cons(X7,nil)) != X2
                                      | ~ ssList(X8) )
                                  | ~ ssItem(X7) )
                              | app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6) )
                          | ~ ssItem(X5) )
                      & totalorderedP(X2)
                      & app(X2,X4) = X3
                      & ssList(X4) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X2
                    | nil = X3 )
                  & ~ segmentP(X1,X0)
                  & ? [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ~ leq(X7,X5)
                                      | app(X8,cons(X7,nil)) != X2
                                      | ~ ssList(X8) )
                                  | ~ ssItem(X7) )
                              | app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6) )
                          | ~ ssItem(X5) )
                      & totalorderedP(X2)
                      & app(X2,X4) = X3
                      & ssList(X4) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( nil = X2
                        & nil != X3 )
                      | segmentP(X1,X0)
                      | ! [X4] :
                          ( ssList(X4)
                         => ( ? [X5] :
                                ( ? [X6] :
                                    ( ? [X7] :
                                        ( ? [X8] :
                                            ( leq(X7,X5)
                                            & app(X8,cons(X7,nil)) = X2
                                            & ssList(X8) )
                                        & ssItem(X7) )
                                    & app(cons(X5,nil),X6) = X4
                                    & ssList(X6) )
                                & ssItem(X5) )
                            | ~ totalorderedP(X2)
                            | app(X2,X4) != X3 ) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( nil = X2
                      & nil != X3 )
                    | segmentP(X1,X0)
                    | ! [X4] :
                        ( ssList(X4)
                       => ( ? [X5] :
                              ( ? [X6] :
                                  ( ? [X7] :
                                      ( ? [X8] :
                                          ( leq(X7,X5)
                                          & app(X8,cons(X7,nil)) = X2
                                          & ssList(X8) )
                                      & ssItem(X7) )
                                  & app(cons(X5,nil),X6) = X4
                                  & ssList(X6) )
                              & ssItem(X5) )
                          | ~ totalorderedP(X2)
                          | app(X2,X4) != X3 ) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Nx7arNTR5L/Vampire---4.8_21617',co1) ).

fof(f171,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f99]) ).

fof(f173,plain,
    ~ segmentP(sK1,sK0),
    inference(cnf_transformation,[],[f99]) ).

fof(f1545,plain,
    segmentP(sK3,sK2),
    inference(forward_demodulation,[],[f1544,f167]) ).

fof(f167,plain,
    sK3 = app(sK2,sK4),
    inference(cnf_transformation,[],[f99]) ).

fof(f1544,plain,
    segmentP(app(sK2,sK4),sK2),
    inference(forward_demodulation,[],[f1504,f425]) ).

fof(f425,plain,
    sK2 = app(nil,sK2),
    inference(unit_resulting_resolution,[],[f248,f197]) ).

fof(f197,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.Nx7arNTR5L/Vampire---4.8_21617',ax28) ).

fof(f248,plain,
    ssList(sK2),
    inference(definition_unfolding,[],[f176,f172]) ).

fof(f176,plain,
    ssList(sK0),
    inference(cnf_transformation,[],[f99]) ).

fof(f1504,plain,
    segmentP(app(app(nil,sK2),sK4),sK2),
    inference(unit_resulting_resolution,[],[f166,f199,f248,f248,f433,f203]) ).

fof(f203,plain,
    ! [X2,X3,X0,X1] :
      ( segmentP(app(app(X2,X0),X3),X1)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ segmentP(X0,X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( segmentP(app(app(X2,X0),X3),X1)
                  | ~ segmentP(X0,X1)
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( segmentP(app(app(X2,X0),X3),X1)
                  | ~ segmentP(X0,X1)
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( segmentP(X0,X1)
                   => segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Nx7arNTR5L/Vampire---4.8_21617',ax56) ).

fof(f433,plain,
    segmentP(sK2,sK2),
    inference(unit_resulting_resolution,[],[f248,f204]) ).

fof(f204,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.Nx7arNTR5L/Vampire---4.8_21617',ax55) ).

fof(f199,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.Nx7arNTR5L/Vampire---4.8_21617',ax17) ).

fof(f166,plain,
    ssList(sK4),
    inference(cnf_transformation,[],[f99]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : SWC371+1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.11  % 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
% 0.10/0.31  % Computer : n002.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 18:35:40 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31  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.Nx7arNTR5L/Vampire---4.8_21617
% 0.60/0.79  % (21753)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)
% 0.60/0.79  % (21750)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)
% 0.60/0.79  % (21754)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)
% 0.60/0.79  % (21755)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)
% 0.60/0.79  % (21756)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)
% 0.60/0.79  % (21751)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)
% 0.60/0.79  % (21757)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)
% 0.60/0.79  % (21752)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81  % (21754)Instruction limit reached!
% 0.60/0.81  % (21754)------------------------------
% 0.60/0.81  % (21754)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (21754)Termination reason: Unknown
% 0.60/0.81  % (21754)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (21754)Memory used [KB]: 1880
% 0.60/0.81  % (21754)Time elapsed: 0.018 s
% 0.60/0.81  % (21754)Instructions burned: 34 (million)
% 0.60/0.81  % (21754)------------------------------
% 0.60/0.81  % (21754)------------------------------
% 0.60/0.81  % (21753)Instruction limit reached!
% 0.60/0.81  % (21753)------------------------------
% 0.60/0.81  % (21753)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (21753)Termination reason: Unknown
% 0.60/0.81  % (21753)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (21753)Memory used [KB]: 1728
% 0.60/0.81  % (21753)Time elapsed: 0.019 s
% 0.60/0.81  % (21753)Instructions burned: 34 (million)
% 0.60/0.81  % (21753)------------------------------
% 0.60/0.81  % (21753)------------------------------
% 0.60/0.81  % (21750)Instruction limit reached!
% 0.60/0.81  % (21750)------------------------------
% 0.60/0.81  % (21750)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (21750)Termination reason: Unknown
% 0.60/0.81  % (21750)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (21750)Memory used [KB]: 1461
% 0.60/0.81  % (21750)Time elapsed: 0.020 s
% 0.60/0.81  % (21750)Instructions burned: 34 (million)
% 0.60/0.81  % (21750)------------------------------
% 0.60/0.81  % (21750)------------------------------
% 0.60/0.81  % (21758)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.81  % (21759)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.81  % (21760)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.82  % (21755)Instruction limit reached!
% 0.60/0.82  % (21755)------------------------------
% 0.60/0.82  % (21755)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (21755)Termination reason: Unknown
% 0.60/0.82  % (21755)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (21755)Memory used [KB]: 1521
% 0.60/0.82  % (21755)Time elapsed: 0.026 s
% 0.60/0.82  % (21755)Instructions burned: 45 (million)
% 0.60/0.82  % (21755)------------------------------
% 0.60/0.82  % (21755)------------------------------
% 0.60/0.82  % (21756)First to succeed.
% 0.60/0.82  % (21757)Instruction limit reached!
% 0.60/0.82  % (21757)------------------------------
% 0.60/0.82  % (21757)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (21757)Termination reason: Unknown
% 0.60/0.82  % (21757)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (21757)Memory used [KB]: 1569
% 0.60/0.82  % (21757)Time elapsed: 0.028 s
% 0.60/0.82  % (21757)Instructions burned: 57 (million)
% 0.60/0.82  % (21757)------------------------------
% 0.60/0.82  % (21757)------------------------------
% 0.60/0.82  % (21751)Instruction limit reached!
% 0.60/0.82  % (21751)------------------------------
% 0.60/0.82  % (21751)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (21751)Termination reason: Unknown
% 0.60/0.82  % (21751)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (21751)Memory used [KB]: 2020
% 0.60/0.82  % (21751)Time elapsed: 0.029 s
% 0.60/0.82  % (21751)Instructions burned: 51 (million)
% 0.60/0.82  % (21751)------------------------------
% 0.60/0.82  % (21751)------------------------------
% 0.60/0.82  % (21756)Refutation found. Thanks to Tanya!
% 0.60/0.82  % SZS status Theorem for Vampire---4
% 0.60/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.82  % (21756)------------------------------
% 0.60/0.82  % (21756)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (21756)Termination reason: Refutation
% 0.60/0.82  
% 0.60/0.82  % (21756)Memory used [KB]: 1565
% 0.60/0.82  % (21756)Time elapsed: 0.028 s
% 0.60/0.82  % (21756)Instructions burned: 58 (million)
% 0.60/0.82  % (21756)------------------------------
% 0.60/0.82  % (21756)------------------------------
% 0.60/0.82  % (21744)Success in time 0.502 s
% 0.60/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------