TSTP Solution File: NUM853+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM853+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.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 08:16:00 EDT 2024

% Result   : Theorem 0.60s 0.75s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   44 (  13 unt;   0 def)
%            Number of atoms       :   79 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   66 (  31   ~;  27   |;   0   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   49 (  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f152,plain,
    $false,
    inference(avatar_sat_refutation,[],[f118,f127,f151]) ).

fof(f151,plain,
    ~ spl1_1,
    inference(avatar_contradiction_clause,[],[f150]) ).

fof(f150,plain,
    ( $false
    | ~ spl1_1 ),
    inference(subsumption_resolution,[],[f146,f113]) ).

fof(f113,plain,
    ( greater(vd488,vd486)
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f111,plain,
    ( spl1_1
  <=> greater(vd488,vd486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f146,plain,
    ~ greater(vd488,vd486),
    inference(resolution,[],[f93,f101]) ).

fof(f101,plain,
    ~ greater(vmul(vd488,vd487),vmul(vd486,vd487)),
    inference(resolution,[],[f99,f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ greater(X0,X1) ),
    inference(rectify,[],[f37]) ).

fof(f37,axiom,
    ! [X66,X67] :
      ( ~ less(X66,X67)
      | ~ greater(X66,X67) ),
    file('/export/starexec/sandbox/tmp/tmp.A1Glvc9Haf/Vampire---4.8_13042','ass(cond(goal(130), 0), 2)') ).

fof(f99,plain,
    less(vmul(vd488,vd487),vmul(vd486,vd487)),
    inference(resolution,[],[f81,f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | less(X1,X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
     => less(X1,X0) ),
    inference(rectify,[],[f34]) ).

fof(f34,axiom,
    ! [X64,X65] :
      ( greater(X64,X65)
     => less(X65,X64) ),
    file('/export/starexec/sandbox/tmp/tmp.A1Glvc9Haf/Vampire---4.8_13042','ass(cond(140, 0), 0)') ).

fof(f81,plain,
    greater(vmul(vd486,vd487),vmul(vd488,vd487)),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    greater(vmul(vd486,vd487),vmul(vd488,vd487)),
    file('/export/starexec/sandbox/tmp/tmp.A1Glvc9Haf/Vampire---4.8_13042','holds(antec(307), 489, 0)') ).

fof(f93,plain,
    ! [X2,X0,X1] :
      ( greater(vmul(X1,X0),vmul(X2,X0))
      | ~ greater(X1,X2) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( greater(vmul(X1,X0),vmul(X2,X0))
      | ~ greater(X1,X2) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( greater(X1,X2)
     => greater(vmul(X1,X0),vmul(X2,X0)) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X5,X6] :
      ( greater(X5,X6)
     => greater(vmul(X5,X0),vmul(X6,X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.A1Glvc9Haf/Vampire---4.8_13042','ass(cond(299, 0), 2)') ).

fof(f127,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f126]) ).

fof(f126,plain,
    ( $false
    | ~ spl1_2 ),
    inference(subsumption_resolution,[],[f124,f95]) ).

fof(f95,plain,
    ! [X1] : ~ greater(X1,X1),
    inference(equality_resolution,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | X0 != X1 ),
    inference(rectify,[],[f38]) ).

fof(f38,axiom,
    ! [X66,X67] :
      ( ~ greater(X66,X67)
      | X66 != X67 ),
    file('/export/starexec/sandbox/tmp/tmp.A1Glvc9Haf/Vampire---4.8_13042','ass(cond(goal(130), 0), 3)') ).

fof(f124,plain,
    ( greater(vmul(vd486,vd487),vmul(vd486,vd487))
    | ~ spl1_2 ),
    inference(superposition,[],[f81,f117]) ).

fof(f117,plain,
    ( vd486 = vd488
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl1_2
  <=> vd486 = vd488 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f118,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f104,f115,f111]) ).

fof(f104,plain,
    ( vd486 = vd488
    | greater(vd488,vd486) ),
    inference(resolution,[],[f102,f80]) ).

fof(f80,plain,
    ~ greater(vd486,vd488),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ~ greater(vd486,vd488),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ greater(vd486,vd488),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    greater(vd486,vd488),
    file('/export/starexec/sandbox/tmp/tmp.A1Glvc9Haf/Vampire---4.8_13042','holds(conseq(307), 490, 0)') ).

fof(f102,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | X0 = X1
      | greater(X0,X1) ),
    inference(resolution,[],[f86,f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | greater(X1,X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ less(X0,X1) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( less(X0,X1)
     => greater(X1,X0) ),
    inference(rectify,[],[f33]) ).

fof(f33,axiom,
    ! [X62,X63] :
      ( less(X62,X63)
     => greater(X63,X62) ),
    file('/export/starexec/sandbox/tmp/tmp.A1Glvc9Haf/Vampire---4.8_13042','ass(cond(147, 0), 0)') ).

fof(f86,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X66,X67] :
      ( less(X66,X67)
      | greater(X66,X67)
      | X66 = X67 ),
    file('/export/starexec/sandbox/tmp/tmp.A1Glvc9Haf/Vampire---4.8_13042','ass(cond(goal(130), 0), 0)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM853+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 15:16:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.A1Glvc9Haf/Vampire---4.8_13042
% 0.54/0.74  % (13307)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)
% 0.54/0.74  % (13309)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74  % (13311)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)
% 0.54/0.74  % (13308)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)
% 0.54/0.74  % (13310)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)
% 0.54/0.74  % (13312)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)
% 0.54/0.74  % (13314)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)
% 0.54/0.74  % (13313)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)
% 0.54/0.74  % (13314)Refutation not found, incomplete strategy% (13314)------------------------------
% 0.54/0.74  % (13314)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (13314)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (13314)Memory used [KB]: 1033
% 0.54/0.74  % (13314)Time elapsed: 0.003 s
% 0.54/0.74  % (13314)Instructions burned: 3 (million)
% 0.54/0.74  % (13312)Refutation not found, incomplete strategy% (13312)------------------------------
% 0.54/0.74  % (13312)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (13312)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (13312)Memory used [KB]: 1032
% 0.54/0.74  % (13312)Time elapsed: 0.003 s
% 0.54/0.74  % (13312)Instructions burned: 3 (million)
% 0.59/0.74  % (13312)------------------------------
% 0.59/0.74  % (13312)------------------------------
% 0.59/0.74  % (13314)------------------------------
% 0.59/0.74  % (13314)------------------------------
% 0.59/0.74  % (13311)Refutation not found, incomplete strategy% (13311)------------------------------
% 0.59/0.74  % (13311)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (13307)Refutation not found, incomplete strategy% (13307)------------------------------
% 0.59/0.74  % (13307)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (13307)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (13307)Memory used [KB]: 1077
% 0.59/0.74  % (13307)Time elapsed: 0.004 s
% 0.59/0.74  % (13307)Instructions burned: 7 (million)
% 0.59/0.74  % (13311)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (13311)Memory used [KB]: 1072
% 0.59/0.74  % (13311)Time elapsed: 0.004 s
% 0.59/0.74  % (13311)Instructions burned: 5 (million)
% 0.59/0.74  % (13307)------------------------------
% 0.59/0.74  % (13307)------------------------------
% 0.59/0.74  % (13311)------------------------------
% 0.59/0.74  % (13311)------------------------------
% 0.59/0.74  % (13316)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)
% 0.59/0.75  % (13315)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)
% 0.59/0.75  % (13318)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)
% 0.59/0.75  % (13317)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)
% 0.59/0.75  % (13317)First to succeed.
% 0.60/0.75  % (13317)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13297"
% 0.60/0.75  % (13317)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  % (13317)------------------------------
% 0.60/0.75  % (13317)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75  % (13317)Termination reason: Refutation
% 0.60/0.75  
% 0.60/0.75  % (13317)Memory used [KB]: 1069
% 0.60/0.75  % (13317)Time elapsed: 0.005 s
% 0.60/0.75  % (13317)Instructions burned: 5 (million)
% 0.60/0.75  % (13297)Success in time 0.386 s
% 0.60/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------