TSTP Solution File: ALG173+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG173+1 : TPTP v8.1.2. Released v2.7.0.
% 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 : n009.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 : Sun May  5 04:12:03 EDT 2024

% Result   : Theorem 0.60s 0.75s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :  227 ( 218 equ)
%            Maximal formula atoms :   50 (  15 avg)
%            Number of connectives :  330 ( 118   ~;  20   |; 192   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (  13 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f425,plain,
    $false,
    inference(subsumption_resolution,[],[f424,f78]) ).

fof(f78,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( e3 != e4
    & e2 != e4
    & e2 != e3
    & e1 != e4
    & e1 != e3
    & e1 != e2
    & e0 != e4
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    file('/export/starexec/sandbox/tmp/tmp.PxVt85C8mU/Vampire---4.8_10866',ax5) ).

fof(f424,plain,
    e3 = e4,
    inference(forward_demodulation,[],[f82,f62]) ).

fof(f62,plain,
    e3 = op(e3,op(e3,e3)),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ( e4 = op(e4,op(e4,e4))
    & e3 = op(e4,op(e4,e3))
    & e2 = op(e4,op(e4,e2))
    & e1 = op(e4,op(e4,e1))
    & e0 = op(e4,op(e4,e0))
    & e4 = op(e3,op(e3,e4))
    & e3 = op(e3,op(e3,e3))
    & e2 = op(e3,op(e3,e2))
    & e1 = op(e3,op(e3,e1))
    & e0 = op(e3,op(e3,e0))
    & e4 = op(e2,op(e2,e4))
    & e3 = op(e2,op(e2,e3))
    & e2 = op(e2,op(e2,e2))
    & e1 = op(e2,op(e2,e1))
    & e0 = op(e2,op(e2,e0))
    & e4 = op(e1,op(e1,e4))
    & e3 = op(e1,op(e1,e3))
    & e2 = op(e1,op(e1,e2))
    & e1 = op(e1,op(e1,e1))
    & e0 = op(e1,op(e1,e0))
    & e4 = op(e0,op(e0,e4))
    & e3 = op(e0,op(e0,e3))
    & e2 = op(e0,op(e0,e2))
    & e1 = op(e0,op(e0,e1))
    & e0 = op(e0,op(e0,e0))
    & ( ( e4 != op(e4,e4)
        & e3 != op(e4,e3)
        & e2 != op(e4,e2)
        & e1 != op(e4,e1)
        & e0 != op(e4,e0) )
      | sP3
      | sP2
      | sP1
      | sP0 ) ),
    inference(definition_folding,[],[f9,f13,f12,f11,f10]) ).

fof(f10,plain,
    ( ( e4 != op(e0,e4)
      & e3 != op(e0,e3)
      & e2 != op(e0,e2)
      & e1 != op(e0,e1)
      & e0 != op(e0,e0) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f11,plain,
    ( ( e4 != op(e1,e4)
      & e3 != op(e1,e3)
      & e2 != op(e1,e2)
      & e1 != op(e1,e1)
      & e0 != op(e1,e0) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f12,plain,
    ( ( e4 != op(e2,e4)
      & e3 != op(e2,e3)
      & e2 != op(e2,e2)
      & e1 != op(e2,e1)
      & e0 != op(e2,e0) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f13,plain,
    ( ( e4 != op(e3,e4)
      & e3 != op(e3,e3)
      & e2 != op(e3,e2)
      & e1 != op(e3,e1)
      & e0 != op(e3,e0) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f9,plain,
    ( e4 = op(e4,op(e4,e4))
    & e3 = op(e4,op(e4,e3))
    & e2 = op(e4,op(e4,e2))
    & e1 = op(e4,op(e4,e1))
    & e0 = op(e4,op(e4,e0))
    & e4 = op(e3,op(e3,e4))
    & e3 = op(e3,op(e3,e3))
    & e2 = op(e3,op(e3,e2))
    & e1 = op(e3,op(e3,e1))
    & e0 = op(e3,op(e3,e0))
    & e4 = op(e2,op(e2,e4))
    & e3 = op(e2,op(e2,e3))
    & e2 = op(e2,op(e2,e2))
    & e1 = op(e2,op(e2,e1))
    & e0 = op(e2,op(e2,e0))
    & e4 = op(e1,op(e1,e4))
    & e3 = op(e1,op(e1,e3))
    & e2 = op(e1,op(e1,e2))
    & e1 = op(e1,op(e1,e1))
    & e0 = op(e1,op(e1,e0))
    & e4 = op(e0,op(e0,e4))
    & e3 = op(e0,op(e0,e3))
    & e2 = op(e0,op(e0,e2))
    & e1 = op(e0,op(e0,e1))
    & e0 = op(e0,op(e0,e0))
    & ( ( e4 != op(e4,e4)
        & e3 != op(e4,e3)
        & e2 != op(e4,e2)
        & e1 != op(e4,e1)
        & e0 != op(e4,e0) )
      | ( e4 != op(e3,e4)
        & e3 != op(e3,e3)
        & e2 != op(e3,e2)
        & e1 != op(e3,e1)
        & e0 != op(e3,e0) )
      | ( e4 != op(e2,e4)
        & e3 != op(e2,e3)
        & e2 != op(e2,e2)
        & e1 != op(e2,e1)
        & e0 != op(e2,e0) )
      | ( e4 != op(e1,e4)
        & e3 != op(e1,e3)
        & e2 != op(e1,e2)
        & e1 != op(e1,e1)
        & e0 != op(e1,e0) )
      | ( e4 != op(e0,e4)
        & e3 != op(e0,e3)
        & e2 != op(e0,e2)
        & e1 != op(e0,e1)
        & e0 != op(e0,e0) ) ) ),
    inference(flattening,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ~ ( e4 = op(e4,op(e4,e4))
        & e3 = op(e4,op(e4,e3))
        & e2 = op(e4,op(e4,e2))
        & e1 = op(e4,op(e4,e1))
        & e0 = op(e4,op(e4,e0))
        & e4 = op(e3,op(e3,e4))
        & e3 = op(e3,op(e3,e3))
        & e2 = op(e3,op(e3,e2))
        & e1 = op(e3,op(e3,e1))
        & e0 = op(e3,op(e3,e0))
        & e4 = op(e2,op(e2,e4))
        & e3 = op(e2,op(e2,e3))
        & e2 = op(e2,op(e2,e2))
        & e1 = op(e2,op(e2,e1))
        & e0 = op(e2,op(e2,e0))
        & e4 = op(e1,op(e1,e4))
        & e3 = op(e1,op(e1,e3))
        & e2 = op(e1,op(e1,e2))
        & e1 = op(e1,op(e1,e1))
        & e0 = op(e1,op(e1,e0))
        & e4 = op(e0,op(e0,e4))
        & e3 = op(e0,op(e0,e3))
        & e2 = op(e0,op(e0,e2))
        & e1 = op(e0,op(e0,e1))
        & e0 = op(e0,op(e0,e0))
        & ( ( e4 != op(e4,e4)
            & e3 != op(e4,e3)
            & e2 != op(e4,e2)
            & e1 != op(e4,e1)
            & e0 != op(e4,e0) )
          | ( e4 != op(e3,e4)
            & e3 != op(e3,e3)
            & e2 != op(e3,e2)
            & e1 != op(e3,e1)
            & e0 != op(e3,e0) )
          | ( e4 != op(e2,e4)
            & e3 != op(e2,e3)
            & e2 != op(e2,e2)
            & e1 != op(e2,e1)
            & e0 != op(e2,e0) )
          | ( e4 != op(e1,e4)
            & e3 != op(e1,e3)
            & e2 != op(e1,e2)
            & e1 != op(e1,e1)
            & e0 != op(e1,e0) )
          | ( e4 != op(e0,e4)
            & e3 != op(e0,e3)
            & e2 != op(e0,e2)
            & e1 != op(e0,e1)
            & e0 != op(e0,e0) ) ) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ~ ( e4 = op(e4,op(e4,e4))
      & e3 = op(e4,op(e4,e3))
      & e2 = op(e4,op(e4,e2))
      & e1 = op(e4,op(e4,e1))
      & e0 = op(e4,op(e4,e0))
      & e4 = op(e3,op(e3,e4))
      & e3 = op(e3,op(e3,e3))
      & e2 = op(e3,op(e3,e2))
      & e1 = op(e3,op(e3,e1))
      & e0 = op(e3,op(e3,e0))
      & e4 = op(e2,op(e2,e4))
      & e3 = op(e2,op(e2,e3))
      & e2 = op(e2,op(e2,e2))
      & e1 = op(e2,op(e2,e1))
      & e0 = op(e2,op(e2,e0))
      & e4 = op(e1,op(e1,e4))
      & e3 = op(e1,op(e1,e3))
      & e2 = op(e1,op(e1,e2))
      & e1 = op(e1,op(e1,e1))
      & e0 = op(e1,op(e1,e0))
      & e4 = op(e0,op(e0,e4))
      & e3 = op(e0,op(e0,e3))
      & e2 = op(e0,op(e0,e2))
      & e1 = op(e0,op(e0,e1))
      & e0 = op(e0,op(e0,e0))
      & ( ( e4 != op(e4,e4)
          & e3 != op(e4,e3)
          & e2 != op(e4,e2)
          & e1 != op(e4,e1)
          & e0 != op(e4,e0) )
        | ( e4 != op(e3,e4)
          & e3 != op(e3,e3)
          & e2 != op(e3,e2)
          & e1 != op(e3,e1)
          & e0 != op(e3,e0) )
        | ( e4 != op(e2,e4)
          & e3 != op(e2,e3)
          & e2 != op(e2,e2)
          & e1 != op(e2,e1)
          & e0 != op(e2,e0) )
        | ( e4 != op(e1,e4)
          & e3 != op(e1,e3)
          & e2 != op(e1,e2)
          & e1 != op(e1,e1)
          & e0 != op(e1,e0) )
        | ( e4 != op(e0,e4)
          & e3 != op(e0,e3)
          & e2 != op(e0,e2)
          & e1 != op(e0,e1)
          & e0 != op(e0,e0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.PxVt85C8mU/Vampire---4.8_10866',co1) ).

fof(f82,plain,
    e4 = op(e3,op(e3,e3)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( e4 = op(e3,op(e3,e3))
    & e2 = op(e3,e3)
    & e1 = op(e3,op(e3,op(e3,e3)))
    & e0 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
    file('/export/starexec/sandbox/tmp/tmp.PxVt85C8mU/Vampire---4.8_10866',ax6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : ALG173+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.15  % 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
% 0.16/0.36  % Computer : n009.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Fri May  3 19:56:53 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_PEQ problem
% 0.16/0.37  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/tmp/tmp.PxVt85C8mU/Vampire---4.8_10866
% 0.55/0.75  % (11126)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 (2996ds/34Mi)
% 0.55/0.75  % (11128)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (11129)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.75  % (11127)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 (2996ds/51Mi)
% 0.55/0.75  % (11131)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.75  % (11130)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 (2996ds/34Mi)
% 0.55/0.75  % (11132)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 (2996ds/83Mi)
% 0.55/0.75  % (11133)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 (2996ds/56Mi)
% 0.55/0.75  % (11129)First to succeed.
% 0.60/0.75  % (11128)Also succeeded, but the first one will report.
% 0.60/0.75  % (11129)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11112"
% 0.60/0.75  % (11129)Refutation found. Thanks to Tanya!
% 0.60/0.75  % SZS status Theorem for Vampire---4
% 0.60/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.75  % (11129)------------------------------
% 0.60/0.75  % (11129)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75  % (11129)Termination reason: Refutation
% 0.60/0.75  
% 0.60/0.75  % (11129)Memory used [KB]: 1148
% 0.60/0.75  % (11129)Time elapsed: 0.007 s
% 0.60/0.75  % (11129)Instructions burned: 11 (million)
% 0.60/0.75  % (11112)Success in time 0.379 s
% 0.60/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------