TSTP Solution File: GEO620+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO620+1 : TPTP v8.1.2. Released v7.5.0.
% 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 : n013.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 05:12:32 EDT 2024

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   55 (  29 unt;   0 def)
%            Number of atoms       :  159 (   0 equ)
%            Maximal formula atoms :   22 (   2 avg)
%            Number of connectives :  131 (  27   ~;  19   |;  78   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   91 (  67   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1921,plain,
    $false,
    inference(resolution,[],[f1914,f483]) ).

fof(f483,plain,
    ~ coll(sK24,sK27,sK26),
    inference(cnf_transformation,[],[f359]) ).

fof(f359,plain,
    ( ~ coll(sK24,sK27,sK26)
    & coll(sK27,sK21,sK23)
    & perp(sK27,sK22,sK21,sK23)
    & coll(sK26,sK20,sK25)
    & perp(sK26,sK22,sK20,sK25)
    & perp(sK20,sK23,sK20,sK25)
    & coll(sK24,sK20,sK23)
    & perp(sK24,sK22,sK20,sK23)
    & eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
    & eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
    & eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27])],[f320,f358]) ).

fof(f358,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( ~ coll(X4,X7,X6)
        & coll(X7,X1,X3)
        & perp(X7,X2,X1,X3)
        & coll(X6,X0,X5)
        & perp(X6,X2,X0,X5)
        & perp(X0,X3,X0,X5)
        & coll(X4,X0,X3)
        & perp(X4,X2,X0,X3)
        & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
        & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
        & eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
   => ( ~ coll(sK24,sK27,sK26)
      & coll(sK27,sK21,sK23)
      & perp(sK27,sK22,sK21,sK23)
      & coll(sK26,sK20,sK25)
      & perp(sK26,sK22,sK20,sK25)
      & perp(sK20,sK23,sK20,sK25)
      & coll(sK24,sK20,sK23)
      & perp(sK24,sK22,sK20,sK23)
      & eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
      & eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
      & eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22) ) ),
    introduced(choice_axiom,[]) ).

fof(f320,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ coll(X4,X7,X6)
      & coll(X7,X1,X3)
      & perp(X7,X2,X1,X3)
      & coll(X6,X0,X5)
      & perp(X6,X2,X0,X5)
      & perp(X0,X3,X0,X5)
      & coll(X4,X0,X3)
      & perp(X4,X2,X0,X3)
      & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
      & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
      & eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
    inference(flattening,[],[f319]) ).

fof(f319,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ coll(X4,X7,X6)
      & coll(X7,X1,X3)
      & perp(X7,X2,X1,X3)
      & coll(X6,X0,X5)
      & perp(X6,X2,X0,X5)
      & perp(X0,X3,X0,X5)
      & coll(X4,X0,X3)
      & perp(X4,X2,X0,X3)
      & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
      & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
      & eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
    inference(ennf_transformation,[],[f167]) ).

fof(f167,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( ( coll(X7,X1,X3)
          & perp(X7,X2,X1,X3)
          & coll(X6,X0,X5)
          & perp(X6,X2,X0,X5)
          & perp(X0,X3,X0,X5)
          & coll(X4,X0,X3)
          & perp(X4,X2,X0,X3)
          & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
          & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
          & eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
       => coll(X4,X7,X6) ),
    inference(rectify,[],[f96]) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X7,X18,X4,X19,X20] :
        ( ( coll(X20,X1,X7)
          & perp(X20,X2,X1,X7)
          & coll(X19,X0,X4)
          & perp(X19,X2,X0,X4)
          & perp(X0,X7,X0,X4)
          & coll(X18,X0,X7)
          & perp(X18,X2,X0,X7)
          & eqangle(X7,X2,X2,X0,X7,X2,X2,X1)
          & eqangle(X7,X1,X1,X2,X7,X1,X1,X0)
          & eqangle(X7,X0,X0,X1,X7,X0,X0,X2) )
       => coll(X18,X20,X19) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X7,X18,X4,X19,X20] :
      ( ( coll(X20,X1,X7)
        & perp(X20,X2,X1,X7)
        & coll(X19,X0,X4)
        & perp(X19,X2,X0,X4)
        & perp(X0,X7,X0,X4)
        & coll(X18,X0,X7)
        & perp(X18,X2,X0,X7)
        & eqangle(X7,X2,X2,X0,X7,X2,X2,X1)
        & eqangle(X7,X1,X1,X2,X7,X1,X1,X0)
        & eqangle(X7,X0,X0,X1,X7,X0,X0,X2) )
     => coll(X18,X20,X19) ),
    file('/export/starexec/sandbox2/tmp/tmp.EurpJywKu3/Vampire---4.8_15457',exemplo6GDDFULL8110982) ).

fof(f1914,plain,
    coll(sK24,sK27,sK26),
    inference(resolution,[],[f1910,f360]) ).

fof(f360,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X0,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.EurpJywKu3/Vampire---4.8_15457',ruleD1) ).

fof(f1910,plain,
    coll(sK24,sK26,sK27),
    inference(resolution,[],[f1882,f361]) ).

fof(f361,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X1,X0,X2) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ! [X0,X1,X2] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X1,X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.EurpJywKu3/Vampire---4.8_15457',ruleD2) ).

fof(f1882,plain,
    coll(sK26,sK24,sK27),
    inference(resolution,[],[f831,f1236]) ).

fof(f1236,plain,
    coll(sK27,sK23,sK26),
    inference(resolution,[],[f1220,f360]) ).

fof(f1220,plain,
    coll(sK27,sK26,sK23),
    inference(resolution,[],[f1199,f361]) ).

fof(f1199,plain,
    coll(sK26,sK27,sK23),
    inference(resolution,[],[f1170,f624]) ).

fof(f624,plain,
    ! [X0] :
      ( ~ coll(sK23,sK23,X0)
      | coll(X0,sK27,sK23) ),
    inference(resolution,[],[f623,f362]) ).

fof(f362,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X0,X1,X3)
      | coll(X2,X3,X0)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f171,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(flattening,[],[f170]) ).

fof(f170,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( coll(X0,X1,X3)
        & coll(X0,X1,X2) )
     => coll(X2,X3,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.EurpJywKu3/Vampire---4.8_15457',ruleD3) ).

fof(f623,plain,
    coll(sK23,sK23,sK27),
    inference(resolution,[],[f584,f482]) ).

fof(f482,plain,
    coll(sK27,sK21,sK23),
    inference(cnf_transformation,[],[f359]) ).

fof(f584,plain,
    ! [X0] :
      ( ~ coll(sK27,sK21,X0)
      | coll(X0,sK23,sK27) ),
    inference(resolution,[],[f362,f482]) ).

fof(f1170,plain,
    coll(sK23,sK23,sK26),
    inference(resolution,[],[f1134,f360]) ).

fof(f1134,plain,
    coll(sK23,sK26,sK23),
    inference(resolution,[],[f1102,f361]) ).

fof(f1102,plain,
    coll(sK26,sK23,sK23),
    inference(resolution,[],[f1080,f607]) ).

fof(f607,plain,
    ! [X0] :
      ( ~ coll(sK23,sK24,X0)
      | coll(X0,sK23,sK23) ),
    inference(resolution,[],[f606,f362]) ).

fof(f606,plain,
    coll(sK23,sK24,sK23),
    inference(resolution,[],[f603,f360]) ).

fof(f603,plain,
    coll(sK23,sK23,sK24),
    inference(resolution,[],[f581,f477]) ).

fof(f477,plain,
    coll(sK24,sK20,sK23),
    inference(cnf_transformation,[],[f359]) ).

fof(f581,plain,
    ! [X0] :
      ( ~ coll(sK24,sK20,X0)
      | coll(X0,sK23,sK24) ),
    inference(resolution,[],[f362,f477]) ).

fof(f1080,plain,
    coll(sK23,sK24,sK26),
    inference(resolution,[],[f1058,f360]) ).

fof(f1058,plain,
    coll(sK23,sK26,sK24),
    inference(resolution,[],[f1039,f361]) ).

fof(f1039,plain,
    coll(sK26,sK23,sK24),
    inference(resolution,[],[f1031,f581]) ).

fof(f1031,plain,
    coll(sK24,sK20,sK26),
    inference(resolution,[],[f1027,f360]) ).

fof(f1027,plain,
    coll(sK24,sK26,sK20),
    inference(resolution,[],[f1025,f361]) ).

fof(f1025,plain,
    coll(sK26,sK24,sK20),
    inference(resolution,[],[f635,f677]) ).

fof(f677,plain,
    coll(sK20,sK20,sK26),
    inference(resolution,[],[f592,f485]) ).

fof(f485,plain,
    coll(sK26,sK25,sK20),
    inference(resolution,[],[f360,f480]) ).

fof(f480,plain,
    coll(sK26,sK20,sK25),
    inference(cnf_transformation,[],[f359]) ).

fof(f592,plain,
    ! [X0] :
      ( ~ coll(sK26,sK25,X0)
      | coll(X0,sK20,sK26) ),
    inference(resolution,[],[f362,f485]) ).

fof(f635,plain,
    ! [X0] :
      ( ~ coll(sK20,sK20,X0)
      | coll(X0,sK24,sK20) ),
    inference(resolution,[],[f633,f362]) ).

fof(f633,plain,
    coll(sK20,sK20,sK24),
    inference(resolution,[],[f588,f484]) ).

fof(f484,plain,
    coll(sK24,sK23,sK20),
    inference(resolution,[],[f360,f477]) ).

fof(f588,plain,
    ! [X0] :
      ( ~ coll(sK24,sK23,X0)
      | coll(X0,sK20,sK24) ),
    inference(resolution,[],[f362,f484]) ).

fof(f831,plain,
    ! [X0] :
      ( ~ coll(sK27,sK23,X0)
      | coll(X0,sK24,sK27) ),
    inference(resolution,[],[f819,f362]) ).

fof(f819,plain,
    coll(sK27,sK23,sK24),
    inference(resolution,[],[f813,f360]) ).

fof(f813,plain,
    coll(sK27,sK24,sK23),
    inference(resolution,[],[f604,f623]) ).

fof(f604,plain,
    ! [X0] :
      ( ~ coll(sK23,sK23,X0)
      | coll(X0,sK24,sK23) ),
    inference(resolution,[],[f603,f362]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GEO620+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.14  % 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
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri May  3 21:52:38 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34  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.EurpJywKu3/Vampire---4.8_15457
% 0.51/0.72  % (15568)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)
% 0.51/0.72  % (15570)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)
% 0.51/0.72  % (15571)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)
% 0.51/0.72  % (15566)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)
% 0.51/0.72  % (15569)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)
% 0.51/0.72  % (15572)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)
% 0.51/0.73  % (15567)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.51/0.73  % (15565)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)
% 0.55/0.74  % (15568)Instruction limit reached!
% 0.55/0.74  % (15568)------------------------------
% 0.55/0.74  % (15568)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (15568)Termination reason: Unknown
% 0.55/0.74  % (15568)Termination phase: Saturation
% 0.55/0.74  
% 0.55/0.74  % (15568)Memory used [KB]: 1478
% 0.55/0.74  % (15568)Time elapsed: 0.017 s
% 0.55/0.74  % (15568)Instructions burned: 36 (million)
% 0.55/0.74  % (15568)------------------------------
% 0.55/0.74  % (15568)------------------------------
% 0.55/0.74  % (15569)Instruction limit reached!
% 0.55/0.74  % (15569)------------------------------
% 0.55/0.74  % (15569)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (15569)Termination reason: Unknown
% 0.55/0.74  % (15569)Termination phase: Saturation
% 0.55/0.74  
% 0.55/0.74  % (15569)Memory used [KB]: 1668
% 0.55/0.74  % (15569)Time elapsed: 0.019 s
% 0.55/0.74  % (15569)Instructions burned: 35 (million)
% 0.55/0.74  % (15569)------------------------------
% 0.55/0.74  % (15569)------------------------------
% 0.55/0.74  % (15570)Instruction limit reached!
% 0.55/0.74  % (15570)------------------------------
% 0.55/0.74  % (15570)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (15570)Termination reason: Unknown
% 0.55/0.74  % (15570)Termination phase: Saturation
% 0.55/0.74  
% 0.55/0.74  % (15570)Memory used [KB]: 1351
% 0.55/0.74  % (15570)Time elapsed: 0.022 s
% 0.55/0.74  % (15570)Instructions burned: 45 (million)
% 0.55/0.74  % (15570)------------------------------
% 0.55/0.74  % (15570)------------------------------
% 0.55/0.74  % (15573)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)
% 0.55/0.75  % (15575)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 (2996ds/208Mi)
% 0.55/0.75  % (15566)First to succeed.
% 0.55/0.75  % (15574)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 (2996ds/50Mi)
% 0.55/0.75  % (15566)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15564"
% 0.55/0.75  % (15566)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Theorem for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (15566)------------------------------
% 0.55/0.75  % (15566)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (15566)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (15566)Memory used [KB]: 1560
% 0.55/0.75  % (15566)Time elapsed: 0.027 s
% 0.55/0.75  % (15566)Instructions burned: 49 (million)
% 0.55/0.75  % (15564)Success in time 0.404 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------