TSTP Solution File: GEO305+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO305+1 : TPTP v8.1.2. Released v4.1.0.
% 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 : 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 : Wed May  1 02:23:31 EDT 2024

% Result   : Theorem 0.60s 0.76s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   45 (  23 unt;   0 def)
%            Number of atoms       :  194 (  57 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  257 ( 108   ~;  88   |;  56   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   77 (  62   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f628,plain,
    $false,
    inference(subsumption_resolution,[],[f627,f324]) ).

fof(f324,plain,
    ron(sK11,vd1297),
    inference(definition_unfolding,[],[f247,f292]) ).

fof(f292,plain,
    vd1289 = sK11,
    inference(cnf_transformation,[],[f227]) ).

fof(f227,plain,
    ( rpoint(sK9)
    & vd1287 = sK9
    & rpoint(sK10)
    & vd1288 = sK10
    & rpoint(sK11)
    & vd1289 = sK11
    & vd1287 != vd1288
    & vd1289 != vd1287
    & vd1289 != vd1288
    & vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f144,f226,f225,f224]) ).

fof(f224,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1287 = X0 )
   => ( rpoint(sK9)
      & vd1287 = sK9 ) ),
    introduced(choice_axiom,[]) ).

fof(f225,plain,
    ( ? [X1] :
        ( rpoint(X1)
        & vd1288 = X1 )
   => ( rpoint(sK10)
      & vd1288 = sK10 ) ),
    introduced(choice_axiom,[]) ).

fof(f226,plain,
    ( ? [X2] :
        ( rpoint(X2)
        & vd1289 = X2 )
   => ( rpoint(sK11)
      & vd1289 = sK11 ) ),
    introduced(choice_axiom,[]) ).

fof(f144,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1287 = X0 )
    & ? [X1] :
        ( rpoint(X1)
        & vd1288 = X1 )
    & ? [X2] :
        ( rpoint(X2)
        & vd1289 = X2 )
    & vd1287 != vd1288
    & vd1289 != vd1287
    & vd1289 != vd1288
    & vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ( ? [X2] :
        ( rpoint(X2)
        & vd1287 = X2 )
    & ? [X1] :
        ( rpoint(X1)
        & vd1288 = X1 )
    & ? [X0] :
        ( rpoint(X0)
        & vd1289 = X0 )
    & vd1287 != vd1288
    & vd1289 != vd1287
    & vd1289 != vd1288
    & vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
    file('/export/starexec/sandbox2/tmp/tmp.xngVfjHYMn/Vampire---4.8_1422','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).

fof(f247,plain,
    ron(vd1289,vd1297),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ron(vd1289,vd1297),
    file('/export/starexec/sandbox2/tmp/tmp.xngVfjHYMn/Vampire---4.8_1422','pred(s2(plural(347)), 0)') ).

fof(f627,plain,
    ~ ron(sK11,vd1297),
    inference(subsumption_resolution,[],[f626,f323]) ).

fof(f323,plain,
    ron(sK9,vd1297),
    inference(definition_unfolding,[],[f246,f296]) ).

fof(f296,plain,
    vd1287 = sK9,
    inference(cnf_transformation,[],[f227]) ).

fof(f246,plain,
    ron(vd1287,vd1297),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ron(vd1287,vd1297),
    file('/export/starexec/sandbox2/tmp/tmp.xngVfjHYMn/Vampire---4.8_1422','pred(s1(plural(347)), 0)') ).

fof(f626,plain,
    ( ~ ron(sK9,vd1297)
    | ~ ron(sK11,vd1297) ),
    inference(subsumption_resolution,[],[f625,f297]) ).

fof(f297,plain,
    rpoint(sK9),
    inference(cnf_transformation,[],[f227]) ).

fof(f625,plain,
    ( ~ rpoint(sK9)
    | ~ ron(sK9,vd1297)
    | ~ ron(sK11,vd1297) ),
    inference(subsumption_resolution,[],[f622,f293]) ).

fof(f293,plain,
    rpoint(sK11),
    inference(cnf_transformation,[],[f227]) ).

fof(f622,plain,
    ( ~ rpoint(sK11)
    | ~ rpoint(sK9)
    | ~ ron(sK9,vd1297)
    | ~ ron(sK11,vd1297) ),
    inference(resolution,[],[f621,f322]) ).

fof(f322,plain,
    rR(sK11,sK9,vd1303),
    inference(definition_unfolding,[],[f242,f292,f296,f241]) ).

fof(f241,plain,
    vd1302 = vd1303,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( rR(vd1288,vd1287,vd1299)
    & rpoint(vd1303)
    & rR(vd1289,vd1287,vd1302)
    & vd1302 = vd1303 ),
    file('/export/starexec/sandbox2/tmp/tmp.xngVfjHYMn/Vampire---4.8_1422','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).

fof(f242,plain,
    rR(vd1289,vd1287,vd1302),
    inference(cnf_transformation,[],[f5]) ).

fof(f621,plain,
    ! [X0,X1] :
      ( ~ rR(X1,X0,vd1303)
      | ~ rpoint(X1)
      | ~ rpoint(X0)
      | ~ ron(X0,vd1297)
      | ~ ron(X1,vd1297) ),
    inference(subsumption_resolution,[],[f620,f245]) ).

fof(f245,plain,
    rline(vd1297),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    rline(vd1297),
    file('/export/starexec/sandbox2/tmp/tmp.xngVfjHYMn/Vampire---4.8_1422','pred(347, 0)') ).

fof(f620,plain,
    ! [X0,X1] :
      ( ~ rpoint(X0)
      | ~ rpoint(X1)
      | ~ rline(vd1297)
      | ~ rR(X1,X0,vd1303)
      | ~ ron(X0,vd1297)
      | ~ ron(X1,vd1297) ),
    inference(subsumption_resolution,[],[f619,f243]) ).

fof(f243,plain,
    rpoint(vd1303),
    inference(cnf_transformation,[],[f5]) ).

fof(f619,plain,
    ! [X0,X1] :
      ( ~ rpoint(X0)
      | ~ rpoint(X1)
      | ~ rpoint(vd1303)
      | ~ rline(vd1297)
      | ~ rR(X1,X0,vd1303)
      | ~ ron(X0,vd1297)
      | ~ ron(X1,vd1297) ),
    inference(resolution,[],[f425,f320]) ).

fof(f320,plain,
    ~ ron(vd1303,vd1297),
    inference(definition_unfolding,[],[f240,f241]) ).

fof(f240,plain,
    ~ ron(vd1302,vd1297),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ~ ron(vd1302,vd1297),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ron(vd1302,vd1297),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ron(vd1302,vd1297),
    file('/export/starexec/sandbox2/tmp/tmp.xngVfjHYMn/Vampire---4.8_1422','pred(conjunct2(349), 0)') ).

fof(f425,plain,
    ! [X6,X7,X4,X5] :
      ( ron(X7,X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | ~ rR(X6,X5,X7)
      | ~ ron(X5,X4)
      | ~ ron(X6,X4) ),
    inference(equality_resolution,[],[f424]) ).

fof(f424,plain,
    ! [X3,X6,X7,X4,X5] :
      ( ron(X7,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | ~ rR(X6,X5,X7)
      | ~ ron(X5,X3)
      | ~ ron(X6,X3)
      | X3 != X4 ),
    inference(equality_resolution,[],[f423]) ).

fof(f423,plain,
    ! [X2,X3,X6,X7,X4,X5] :
      ( ron(X2,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | ~ rR(X6,X5,X2)
      | ~ ron(X5,X3)
      | ~ ron(X6,X3)
      | X3 != X4 ),
    inference(equality_resolution,[],[f422]) ).

fof(f422,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( ron(X2,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | ~ rR(X1,X5,X2)
      | ~ ron(X5,X3)
      | ~ ron(X1,X3)
      | X3 != X4 ),
    inference(equality_resolution,[],[f271]) ).

fof(f271,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(X2,X3)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | ~ rR(X1,X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X3)
      | X3 != X4 ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ron(X2,X3)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | ~ rR(X1,X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X3)
      | X3 != X4 ),
    inference(flattening,[],[f174]) ).

fof(f174,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ron(X2,X3)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | ~ rR(X1,X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X3)
      | X3 != X4 ),
    inference(ennf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ? [X5] :
            ( rpoint(X5)
            & X0 = X5 )
        & ? [X6] :
            ( rpoint(X6)
            & X1 = X6 )
        & ? [X7] :
            ( rpoint(X7)
            & X2 = X7 )
        & rline(X4)
        & rR(X1,X0,X2)
        & ron(X0,X3)
        & ron(X1,X3)
        & X3 = X4 )
     => ron(X2,X3) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3,X4,X5,X6,X7] :
      ( ( ? [X10] :
            ( rpoint(X10)
            & X3 = X10 )
        & ? [X9] :
            ( rpoint(X9)
            & X4 = X9 )
        & ? [X8] :
            ( rpoint(X8)
            & X5 = X8 )
        & rline(X7)
        & rR(X4,X3,X5)
        & ron(X3,X6)
        & ron(X4,X6)
        & X6 = X7 )
     => ron(X5,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.xngVfjHYMn/Vampire---4.8_1422','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO305+1 : TPTP v8.1.2. Released v4.1.0.
% 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
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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   : Tue Apr 30 18:52:56 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.xngVfjHYMn/Vampire---4.8_1422
% 0.60/0.75  % (1630)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75  % (1635)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)
% 0.60/0.75  % (1628)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)
% 0.60/0.75  % (1629)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)
% 0.60/0.75  % (1632)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)
% 0.60/0.75  % (1631)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)
% 0.60/0.75  % (1633)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)
% 0.60/0.75  % (1635)Refutation not found, incomplete strategy% (1635)------------------------------
% 0.60/0.75  % (1635)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75  % (1635)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75  
% 0.60/0.75  % (1635)Memory used [KB]: 1292
% 0.60/0.75  % (1635)Time elapsed: 0.002 s
% 0.60/0.75  % (1635)Instructions burned: 4 (million)
% 0.60/0.75  % (1635)------------------------------
% 0.60/0.75  % (1635)------------------------------
% 0.60/0.75  % (1634)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)
% 0.60/0.75  % (1631)Refutation not found, incomplete strategy% (1631)------------------------------
% 0.60/0.75  % (1631)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75  % (1631)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75  
% 0.60/0.75  % (1631)Memory used [KB]: 1272
% 0.60/0.75  % (1631)Time elapsed: 0.003 s
% 0.60/0.75  % (1631)Instructions burned: 3 (million)
% 0.60/0.75  % (1631)------------------------------
% 0.60/0.75  % (1631)------------------------------
% 0.60/0.75  % (1633)Refutation not found, incomplete strategy% (1633)------------------------------
% 0.60/0.75  % (1633)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75  % (1633)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75  
% 0.60/0.75  % (1633)Memory used [KB]: 1369
% 0.60/0.75  % (1633)Time elapsed: 0.004 s
% 0.60/0.75  % (1633)Instructions burned: 5 (million)
% 0.60/0.75  % (1633)------------------------------
% 0.60/0.75  % (1633)------------------------------
% 0.60/0.75  % (1639)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 (2996ds/55Mi)
% 0.60/0.76  % (1634)Refutation not found, incomplete strategy% (1634)------------------------------
% 0.60/0.76  % (1634)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (1630)First to succeed.
% 0.60/0.76  % (1634)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (1634)Memory used [KB]: 1357
% 0.60/0.76  % (1634)Time elapsed: 0.006 s
% 0.60/0.76  % (1634)Instructions burned: 8 (million)
% 0.60/0.76  % (1634)------------------------------
% 0.60/0.76  % (1634)------------------------------
% 0.60/0.76  % (1630)Refutation found. Thanks to Tanya!
% 0.60/0.76  % SZS status Theorem for Vampire---4
% 0.60/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76  % (1630)------------------------------
% 0.60/0.76  % (1630)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (1630)Termination reason: Refutation
% 0.60/0.76  
% 0.60/0.76  % (1630)Memory used [KB]: 1569
% 0.60/0.76  % (1630)Time elapsed: 0.008 s
% 0.60/0.76  % (1630)Instructions burned: 21 (million)
% 0.60/0.76  % (1630)------------------------------
% 0.60/0.76  % (1630)------------------------------
% 0.60/0.76  % (1599)Success in time 0.392 s
% 0.63/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------