TSTP Solution File: NUM857+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM857+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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 08:16:01 EDT 2024

% Result   : Theorem 0.59s 0.78s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (  17 unt;   0 def)
%            Number of atoms       :   46 (   6 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   39 (  19   ~;  14   |;   3   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f323,plain,
    $false,
    inference(subsumption_resolution,[],[f322,f237]) ).

fof(f237,plain,
    ! [X1] : geq(X1,X1),
    inference(equality_resolution,[],[f161]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( X0 != X1
      | geq(X1,X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( geq(X1,X0)
    <=> ( X0 = X1
        | greater(X1,X0) ) ),
    inference(rectify,[],[f38]) ).

fof(f38,axiom,
    ! [X77,X78] :
      ( geq(X78,X77)
    <=> ( X77 = X78
        | greater(X78,X77) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tI0CFqHckH/Vampire---4.8_30647','def(cond(conseq(axiom(3)), 16), 1)') ).

fof(f322,plain,
    ~ geq(vmul(vd526,vd529),vmul(vd526,vd529)),
    inference(forward_demodulation,[],[f316,f280]) ).

fof(f280,plain,
    vd529 = vd530,
    inference(unit_resulting_resolution,[],[f169,f259,f159]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | X0 = X1
      | ~ geq(X1,X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f259,plain,
    ~ greater(vd529,vd530),
    inference(unit_resulting_resolution,[],[f158,f249,f168]) ).

fof(f168,plain,
    ! [X2,X3,X0,X1] :
      ( greater(vmul(X0,X2),vmul(X1,X3))
      | ~ geq(X0,X1)
      | ~ greater(X2,X3) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0,X1,X2,X3] :
      ( greater(vmul(X0,X2),vmul(X1,X3))
      | ( ( ~ greater(X0,X1)
          | ~ geq(X2,X3) )
        & ( ~ geq(X0,X1)
          | ~ greater(X2,X3) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2,X3] :
      ( ( ( greater(X0,X1)
          & geq(X2,X3) )
        | ( geq(X0,X1)
          & greater(X2,X3) ) )
     => greater(vmul(X0,X2),vmul(X1,X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.tI0CFqHckH/Vampire---4.8_30647','ass(cond(318, 0), 0)') ).

fof(f249,plain,
    ~ greater(vmul(vd526,vd529),vmul(vd527,vd530)),
    inference(unit_resulting_resolution,[],[f157,f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | geq(X1,X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f157,plain,
    ~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    geq(vmul(vd526,vd529),vmul(vd527,vd530)),
    file('/export/starexec/sandbox/tmp/tmp.tI0CFqHckH/Vampire---4.8_30647','holds(conseq(323), 532, 0)') ).

fof(f158,plain,
    geq(vd526,vd527),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    geq(vd526,vd527),
    file('/export/starexec/sandbox/tmp/tmp.tI0CFqHckH/Vampire---4.8_30647','holds(conjunct1(antec(323)), 528, 0)') ).

fof(f169,plain,
    geq(vd529,vd530),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    geq(vd529,vd530),
    file('/export/starexec/sandbox/tmp/tmp.tI0CFqHckH/Vampire---4.8_30647','holds(conjunct2(antec(323)), 531, 0)') ).

fof(f316,plain,
    ~ geq(vmul(vd526,vd529),vmul(vd526,vd530)),
    inference(superposition,[],[f157,f272]) ).

fof(f272,plain,
    vd526 = vd527,
    inference(unit_resulting_resolution,[],[f158,f258,f159]) ).

fof(f258,plain,
    ~ greater(vd526,vd527),
    inference(unit_resulting_resolution,[],[f169,f249,f167]) ).

fof(f167,plain,
    ! [X2,X3,X0,X1] :
      ( greater(vmul(X0,X2),vmul(X1,X3))
      | ~ greater(X0,X1)
      | ~ geq(X2,X3) ),
    inference(cnf_transformation,[],[f124]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM857+2 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.15  % 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
% 0.14/0.35  % Computer : n004.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   : Fri May  3 14:47:52 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.tI0CFqHckH/Vampire---4.8_30647
% 0.59/0.77  % (30758)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.77  % (30760)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)
% 0.59/0.77  % (30756)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)
% 0.59/0.77  % (30759)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)
% 0.59/0.77  % (30761)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)
% 0.59/0.77  % (30757)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)
% 0.59/0.77  % (30762)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)
% 0.59/0.77  % (30763)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)
% 0.59/0.77  % (30761)Refutation not found, incomplete strategy% (30761)------------------------------
% 0.59/0.77  % (30761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (30761)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (30761)Memory used [KB]: 1041
% 0.59/0.77  % (30761)Time elapsed: 0.003 s
% 0.59/0.77  % (30761)Instructions burned: 4 (million)
% 0.59/0.77  % (30763)Refutation not found, incomplete strategy% (30763)------------------------------
% 0.59/0.77  % (30763)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (30760)Refutation not found, incomplete strategy% (30760)------------------------------
% 0.59/0.77  % (30760)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (30760)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (30760)Memory used [KB]: 1074
% 0.59/0.77  % (30760)Time elapsed: 0.003 s
% 0.59/0.77  % (30760)Instructions burned: 5 (million)
% 0.59/0.77  % (30763)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (30763)Memory used [KB]: 1061
% 0.59/0.77  % (30763)Time elapsed: 0.003 s
% 0.59/0.77  % (30763)Instructions burned: 4 (million)
% 0.59/0.77  % (30761)------------------------------
% 0.59/0.77  % (30761)------------------------------
% 0.59/0.77  % (30760)------------------------------
% 0.59/0.77  % (30760)------------------------------
% 0.59/0.77  % (30763)------------------------------
% 0.59/0.77  % (30763)------------------------------
% 0.59/0.77  % (30759)Also succeeded, but the first one will report.
% 0.59/0.77  % (30762)First to succeed.
% 0.59/0.78  % (30762)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30755"
% 0.59/0.78  % (30762)Refutation found. Thanks to Tanya!
% 0.59/0.78  % SZS status Theorem for Vampire---4
% 0.59/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.78  % (30762)------------------------------
% 0.59/0.78  % (30762)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (30762)Termination reason: Refutation
% 0.59/0.78  
% 0.59/0.78  % (30762)Memory used [KB]: 1144
% 0.59/0.78  % (30762)Time elapsed: 0.006 s
% 0.59/0.78  % (30762)Instructions burned: 9 (million)
% 0.59/0.78  % (30755)Success in time 0.406 s
% 0.59/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------