TSTP Solution File: NUM853+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM853+2 : 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 : n023.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 03:34:53 EDT 2024

% Result   : Theorem 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   42 (  13 unt;   0 def)
%            Number of atoms       :   75 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   62 (  29   ~;  25   |;   0   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 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(f293,plain,
    $false,
    inference(avatar_sat_refutation,[],[f261,f269,f290]) ).

fof(f290,plain,
    ~ spl4_1,
    inference(avatar_split_clause,[],[f279,f254]) ).

fof(f254,plain,
    ( spl4_1
  <=> greater(vd488,vd486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f279,plain,
    ~ greater(vd488,vd486),
    inference(resolution,[],[f104,f191]) ).

fof(f191,plain,
    ~ greater(vmul(vd488,vd487),vmul(vd486,vd487)),
    inference(resolution,[],[f159,f119]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ greater(X0,X1) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X33,X34] :
      ( ~ less(X33,X34)
      | ~ greater(X33,X34) ),
    file('/export/starexec/sandbox2/tmp/tmp.70Sw0gyHp4/Vampire---4.8_16823','ass(cond(goal(130), 0), 2)') ).

fof(f159,plain,
    less(vmul(vd488,vd487),vmul(vd486,vd487)),
    inference(resolution,[],[f101,f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | less(X1,X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
     => less(X1,X0) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X31,X32] :
      ( greater(X31,X32)
     => less(X32,X31) ),
    file('/export/starexec/sandbox2/tmp/tmp.70Sw0gyHp4/Vampire---4.8_16823','ass(cond(140, 0), 0)') ).

fof(f101,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/sandbox2/tmp/tmp.70Sw0gyHp4/Vampire---4.8_16823','holds(antec(307), 489, 0)') ).

fof(f104,plain,
    ! [X2,X0,X1] :
      ( greater(vmul(X1,X0),vmul(X2,X0))
      | ~ greater(X1,X2) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( greater(vmul(X1,X0),vmul(X2,X0))
      | ~ greater(X1,X2) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,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/sandbox2/tmp/tmp.70Sw0gyHp4/Vampire---4.8_16823','ass(cond(299, 0), 2)') ).

fof(f269,plain,
    ~ spl4_2,
    inference(avatar_contradiction_clause,[],[f266]) ).

fof(f266,plain,
    ( $false
    | ~ spl4_2 ),
    inference(resolution,[],[f263,f149]) ).

fof(f149,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X0 != X1 ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X33,X34] :
      ( ~ less(X33,X34)
      | X33 != X34 ),
    file('/export/starexec/sandbox2/tmp/tmp.70Sw0gyHp4/Vampire---4.8_16823','ass(cond(goal(130), 0), 1)') ).

fof(f263,plain,
    ( less(vmul(vd486,vd487),vmul(vd486,vd487))
    | ~ spl4_2 ),
    inference(superposition,[],[f159,f260]) ).

fof(f260,plain,
    ( vd486 = vd488
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f258,plain,
    ( spl4_2
  <=> vd486 = vd488 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f261,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f247,f258,f254]) ).

fof(f247,plain,
    ( vd486 = vd488
    | greater(vd488,vd486) ),
    inference(resolution,[],[f211,f100]) ).

fof(f100,plain,
    ~ greater(vd486,vd488),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,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/sandbox2/tmp/tmp.70Sw0gyHp4/Vampire---4.8_16823','holds(conseq(307), 490, 0)') ).

fof(f211,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | X0 = X1
      | greater(X0,X1) ),
    inference(resolution,[],[f117,f115]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | greater(X1,X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ less(X0,X1) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( less(X0,X1)
     => greater(X1,X0) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X29,X30] :
      ( less(X29,X30)
     => greater(X30,X29) ),
    file('/export/starexec/sandbox2/tmp/tmp.70Sw0gyHp4/Vampire---4.8_16823','ass(cond(147, 0), 0)') ).

fof(f117,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X33,X34] :
      ( less(X33,X34)
      | greater(X33,X34)
      | X33 = X34 ),
    file('/export/starexec/sandbox2/tmp/tmp.70Sw0gyHp4/Vampire---4.8_16823','ass(cond(goal(130), 0), 0)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : NUM853+2 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.11  % 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
% 0.11/0.31  % Computer : n023.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Apr 30 17:12:55 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.11/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  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.70Sw0gyHp4/Vampire---4.8_16823
% 0.61/0.80  % (16931)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 (2995ds/34Mi)
% 0.61/0.80  % (16934)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.80  % (16933)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80  % (16935)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 (2995ds/34Mi)
% 0.61/0.80  % (16932)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 (2995ds/51Mi)
% 0.61/0.80  % (16936)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.80  % (16937)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 (2995ds/83Mi)
% 0.61/0.80  % (16938)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 (2995ds/56Mi)
% 0.61/0.80  % (16936)Refutation not found, incomplete strategy% (16936)------------------------------
% 0.61/0.80  % (16936)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (16936)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (16936)Memory used [KB]: 1026
% 0.61/0.80  % (16936)Time elapsed: 0.003 s
% 0.61/0.80  % (16936)Instructions burned: 3 (million)
% 0.61/0.80  % (16936)------------------------------
% 0.61/0.80  % (16936)------------------------------
% 0.61/0.80  % (16935)Refutation not found, incomplete strategy% (16935)------------------------------
% 0.61/0.80  % (16935)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (16938)Refutation not found, incomplete strategy% (16938)------------------------------
% 0.61/0.80  % (16938)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (16938)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (16938)Memory used [KB]: 1027
% 0.61/0.80  % (16938)Time elapsed: 0.003 s
% 0.61/0.80  % (16938)Instructions burned: 3 (million)
% 0.61/0.80  % (16938)------------------------------
% 0.61/0.80  % (16938)------------------------------
% 0.61/0.80  % (16935)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  % (16931)Refutation not found, incomplete strategy% (16931)------------------------------
% 0.61/0.80  % (16931)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (16931)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (16931)Memory used [KB]: 1054
% 0.61/0.80  % (16931)Time elapsed: 0.003 s
% 0.61/0.80  % (16931)Instructions burned: 3 (million)
% 0.61/0.80  % (16931)------------------------------
% 0.61/0.80  % (16931)------------------------------
% 0.61/0.80  
% 0.61/0.80  % (16935)Memory used [KB]: 1040
% 0.61/0.80  % (16935)Time elapsed: 0.003 s
% 0.61/0.80  % (16935)Instructions burned: 4 (million)
% 0.61/0.80  % (16935)------------------------------
% 0.61/0.80  % (16935)------------------------------
% 0.61/0.80  % (16932)First to succeed.
% 0.61/0.80  % (16940)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 (2995ds/50Mi)
% 0.61/0.80  % (16939)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 (2995ds/55Mi)
% 0.61/0.80  % (16941)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 (2995ds/208Mi)
% 0.61/0.80  % (16942)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 (2995ds/52Mi)
% 0.61/0.80  % (16932)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Theorem for Vampire---4
% 0.61/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80  % (16932)------------------------------
% 0.61/0.80  % (16932)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (16932)Termination reason: Refutation
% 0.61/0.81  
% 0.61/0.81  % (16932)Memory used [KB]: 1089
% 0.61/0.81  % (16932)Time elapsed: 0.007 s
% 0.61/0.81  % (16932)Instructions burned: 9 (million)
% 0.61/0.81  % (16932)------------------------------
% 0.61/0.81  % (16932)------------------------------
% 0.61/0.81  % (16930)Success in time 0.484 s
% 0.61/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------