TSTP Solution File: GEO029-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO029-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n032.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 05:08:44 EDT 2024

% Result   : Unsatisfiable 0.46s 0.67s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   25 (  12 unt;   0 def)
%            Number of atoms       :   42 (   6 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   35 (  18   ~;  16   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-4 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1380,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1268,f1379]) ).

fof(f1379,plain,
    ~ spl1_1,
    inference(avatar_contradiction_clause,[],[f1378]) ).

fof(f1378,plain,
    ( $false
    | ~ spl1_1 ),
    inference(subsumption_resolution,[],[f1350,f268]) ).

fof(f268,plain,
    ~ equidistant(v,extension(u,v,u,v),v,extension(u,v,v,u)),
    inference(unit_resulting_resolution,[],[f39,f4,f46,f40,f38]) ).

fof(f38,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X3,X5,X3,X0)
      | X3 = X10
      | X0 = X5
      | ~ between(X10,X3,X0)
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.GCY3qiKxjC/Vampire---4.8_21413',d9) ).

fof(f40,axiom,
    extension(u,v,u,v) != extension(u,v,v,u),
    file('/export/starexec/sandbox/tmp/tmp.GCY3qiKxjC/Vampire---4.8_21413',prove_equal_extensions) ).

fof(f46,plain,
    ! [X3,X10,X0,X5] : between(X10,X3,extension(X10,X3,X5,X0)),
    inference(equality_resolution,[],[f30]) ).

fof(f30,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( between(X10,X3,X1)
      | extension(X10,X3,X5,X0) != X1 ),
    file('/export/starexec/sandbox/tmp/tmp.GCY3qiKxjC/Vampire---4.8_21413',b0) ).

fof(f4,axiom,
    ! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
    file('/export/starexec/sandbox/tmp/tmp.GCY3qiKxjC/Vampire---4.8_21413',segment_construction1) ).

fof(f39,axiom,
    u != v,
    file('/export/starexec/sandbox/tmp/tmp.GCY3qiKxjC/Vampire---4.8_21413',u_not_v) ).

fof(f1350,plain,
    ( equidistant(v,extension(u,v,u,v),v,extension(u,v,v,u))
    | ~ spl1_1 ),
    inference(unit_resulting_resolution,[],[f44,f1279,f28]) ).

fof(f28,axiom,
    ! [X2,X3,X10,X0,X1,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | ~ equidistant(X5,X0,X1,X2)
      | equidistant(X10,X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.GCY3qiKxjC/Vampire---4.8_21413',d5) ).

fof(f1279,plain,
    ( equidistant(u,v,v,extension(u,v,v,u))
    | ~ spl1_1 ),
    inference(unit_resulting_resolution,[],[f1231,f21]) ).

fof(f21,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | equidistant(X5,X0,X10,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.GCY3qiKxjC/Vampire---4.8_21413',d2) ).

fof(f1231,plain,
    ( equidistant(v,extension(u,v,v,u),u,v)
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f1230]) ).

fof(f1230,plain,
    ( spl1_1
  <=> equidistant(v,extension(u,v,v,u),u,v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f44,plain,
    ! [X3,X10] : equidistant(X3,extension(X10,X3,X10,X3),X10,X3),
    inference(definition_unfolding,[],[f32,f19]) ).

fof(f19,axiom,
    ! [X3,X10] : reflection(X10,X3) = extension(X10,X3,X10,X3),
    file('/export/starexec/sandbox/tmp/tmp.GCY3qiKxjC/Vampire---4.8_21413',reflection) ).

fof(f32,axiom,
    ! [X3,X10] : equidistant(X3,reflection(X10,X3),X10,X3),
    file('/export/starexec/sandbox/tmp/tmp.GCY3qiKxjC/Vampire---4.8_21413',r2_2) ).

fof(f1268,plain,
    spl1_1,
    inference(avatar_contradiction_clause,[],[f1267]) ).

fof(f1267,plain,
    ( $false
    | spl1_1 ),
    inference(subsumption_resolution,[],[f1247,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
    file('/export/starexec/sandbox/tmp/tmp.GCY3qiKxjC/Vampire---4.8_21413',segment_construction2) ).

fof(f1247,plain,
    ( ~ equidistant(v,extension(u,v,v,u),v,u)
    | spl1_1 ),
    inference(unit_resulting_resolution,[],[f1232,f23]) ).

fof(f23,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | equidistant(X10,X3,X0,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.GCY3qiKxjC/Vampire---4.8_21413',d4_1) ).

fof(f1232,plain,
    ( ~ equidistant(v,extension(u,v,v,u),u,v)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f1230]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.08  % Problem    : GEO029-3 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.10  % 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
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Fri May  3 22:03:07 EDT 2024
% 0.08/0.29  % CPUTime    : 
% 0.08/0.29  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.08/0.29  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.GCY3qiKxjC/Vampire---4.8_21413
% 0.46/0.64  % (21817)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)
% 0.46/0.64  % (21821)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)
% 0.46/0.64  % (21825)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)
% 0.46/0.64  % (21823)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)
% 0.46/0.64  % (21822)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)
% 0.46/0.64  % (21820)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.46/0.64  % (21818)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)
% 0.46/0.64  % (21824)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)
% 0.46/0.64  % (21823)Refutation not found, incomplete strategy% (21823)------------------------------
% 0.46/0.64  % (21823)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64  % (21823)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.64  
% 0.46/0.64  % (21823)Memory used [KB]: 984
% 0.46/0.64  % (21821)Refutation not found, incomplete strategy% (21821)------------------------------
% 0.46/0.64  % (21821)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64  % (21821)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.64  
% 0.46/0.64  % (21821)Memory used [KB]: 1093
% 0.46/0.64  % (21821)Time elapsed: 0.003 s
% 0.46/0.64  % (21821)Instructions burned: 6 (million)
% 0.46/0.64  % (21823)Time elapsed: 0.003 s
% 0.46/0.64  % (21823)Instructions burned: 3 (million)
% 0.46/0.64  % (21821)------------------------------
% 0.46/0.64  % (21821)------------------------------
% 0.46/0.64  % (21823)------------------------------
% 0.46/0.64  % (21823)------------------------------
% 0.46/0.64  % (21831)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)
% 0.46/0.64  % (21830)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)
% 0.46/0.64  % (21831)Refutation not found, incomplete strategy% (21831)------------------------------
% 0.46/0.64  % (21831)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64  % (21831)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.64  
% 0.46/0.64  % (21831)Memory used [KB]: 988
% 0.46/0.64  % (21831)Time elapsed: 0.002 s
% 0.46/0.64  % (21831)Instructions burned: 4 (million)
% 0.46/0.64  % (21831)------------------------------
% 0.46/0.64  % (21831)------------------------------
% 0.46/0.64  % (21835)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)
% 0.46/0.65  % (21817)Instruction limit reached!
% 0.46/0.65  % (21817)------------------------------
% 0.46/0.65  % (21817)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.65  % (21817)Termination reason: Unknown
% 0.46/0.65  % (21817)Termination phase: Saturation
% 0.46/0.65  
% 0.46/0.65  % (21817)Memory used [KB]: 1239
% 0.46/0.65  % (21817)Time elapsed: 0.012 s
% 0.46/0.65  % (21817)Instructions burned: 36 (million)
% 0.46/0.65  % (21817)------------------------------
% 0.46/0.65  % (21817)------------------------------
% 0.46/0.65  % (21838)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.46/0.65  % (21822)Instruction limit reached!
% 0.46/0.65  % (21822)------------------------------
% 0.46/0.65  % (21822)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.65  % (21822)Termination reason: Unknown
% 0.46/0.65  % (21822)Termination phase: Saturation
% 0.46/0.65  
% 0.46/0.65  % (21822)Memory used [KB]: 1225
% 0.46/0.65  % (21822)Time elapsed: 0.016 s
% 0.46/0.65  % (21822)Instructions burned: 35 (million)
% 0.46/0.65  % (21825)Instruction limit reached!
% 0.46/0.65  % (21825)------------------------------
% 0.46/0.65  % (21825)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.65  % (21822)------------------------------
% 0.46/0.65  % (21822)------------------------------
% 0.46/0.65  % (21825)Termination reason: Unknown
% 0.46/0.65  % (21825)Termination phase: Saturation
% 0.46/0.65  
% 0.46/0.65  % (21825)Memory used [KB]: 1292
% 0.46/0.65  % (21825)Time elapsed: 0.017 s
% 0.46/0.65  % (21825)Instructions burned: 56 (million)
% 0.46/0.65  % (21825)------------------------------
% 0.46/0.65  % (21825)------------------------------
% 0.46/0.65  % (21839)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.46/0.65  % (21840)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.46/0.66  % (21839)Refutation not found, incomplete strategy% (21839)------------------------------
% 0.46/0.66  % (21839)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.66  % (21839)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.66  
% 0.46/0.66  % (21839)Memory used [KB]: 1073
% 0.46/0.66  % (21839)Time elapsed: 0.003 s
% 0.46/0.66  % (21839)Instructions burned: 6 (million)
% 0.46/0.66  % (21840)Refutation not found, incomplete strategy% (21840)------------------------------
% 0.46/0.66  % (21840)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.66  % (21840)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.66  
% 0.46/0.66  % (21840)Memory used [KB]: 987
% 0.46/0.66  % (21840)Time elapsed: 0.003 s
% 0.46/0.66  % (21840)Instructions burned: 3 (million)
% 0.46/0.66  % (21839)------------------------------
% 0.46/0.66  % (21839)------------------------------
% 0.46/0.66  % (21840)------------------------------
% 0.46/0.66  % (21840)------------------------------
% 0.46/0.66  % (21844)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.46/0.66  % (21845)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.46/0.66  % (21818)Instruction limit reached!
% 0.46/0.66  % (21818)------------------------------
% 0.46/0.66  % (21818)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.66  % (21818)Termination reason: Unknown
% 0.46/0.66  % (21818)Termination phase: Saturation
% 0.46/0.66  
% 0.46/0.66  % (21818)Memory used [KB]: 1182
% 0.46/0.66  % (21818)Time elapsed: 0.026 s
% 0.46/0.66  % (21818)Instructions burned: 51 (million)
% 0.46/0.66  % (21818)------------------------------
% 0.46/0.66  % (21818)------------------------------
% 0.46/0.66  % (21830)Instruction limit reached!
% 0.46/0.66  % (21830)------------------------------
% 0.46/0.66  % (21830)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.66  % (21830)Termination reason: Unknown
% 0.46/0.66  % (21830)Termination phase: Saturation
% 0.46/0.66  
% 0.46/0.66  % (21830)Memory used [KB]: 1307
% 0.46/0.66  % (21830)Time elapsed: 0.024 s
% 0.46/0.66  % (21830)Instructions burned: 55 (million)
% 0.46/0.66  % (21830)------------------------------
% 0.46/0.66  % (21830)------------------------------
% 0.46/0.66  % (21849)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.46/0.67  % (21838)Instruction limit reached!
% 0.46/0.67  % (21838)------------------------------
% 0.46/0.67  % (21838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.67  % (21838)Termination reason: Unknown
% 0.46/0.67  % (21838)Termination phase: Saturation
% 0.46/0.67  
% 0.46/0.67  % (21838)Memory used [KB]: 1389
% 0.46/0.67  % (21838)Time elapsed: 0.019 s
% 0.46/0.67  % (21838)Instructions burned: 53 (million)
% 0.46/0.67  % (21838)------------------------------
% 0.46/0.67  % (21838)------------------------------
% 0.46/0.67  % (21850)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.46/0.67  % (21852)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.46/0.67  % (21820)Instruction limit reached!
% 0.46/0.67  % (21820)------------------------------
% 0.46/0.67  % (21820)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.67  % (21820)Termination reason: Unknown
% 0.46/0.67  % (21820)Termination phase: Saturation
% 0.46/0.67  
% 0.46/0.67  % (21820)Memory used [KB]: 1219
% 0.46/0.67  % (21820)Time elapsed: 0.035 s
% 0.46/0.67  % (21820)Instructions burned: 79 (million)
% 0.46/0.67  % (21820)------------------------------
% 0.46/0.67  % (21820)------------------------------
% 0.46/0.67  % (21824)First to succeed.
% 0.46/0.67  % (21853)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.46/0.67  % (21824)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21677"
% 0.46/0.67  % (21824)Refutation found. Thanks to Tanya!
% 0.46/0.67  % SZS status Unsatisfiable for Vampire---4
% 0.46/0.67  % SZS output start Proof for Vampire---4
% See solution above
% 0.46/0.67  % (21824)------------------------------
% 0.46/0.67  % (21824)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.67  % (21824)Termination reason: Refutation
% 0.46/0.67  
% 0.46/0.67  % (21824)Memory used [KB]: 1368
% 0.46/0.67  % (21824)Time elapsed: 0.037 s
% 0.46/0.67  % (21824)Instructions burned: 72 (million)
% 0.46/0.67  % (21677)Success in time 0.377 s
% 0.46/0.67  % Vampire---4.8 exiting
%------------------------------------------------------------------------------