TSTP Solution File: NUM299+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM299+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n029.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 03:28:22 EDT 2024

% Result   : Theorem 0.65s 0.85s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   32 (  15 unt;   0 def)
%            Number of atoms       :   76 (   5 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   81 (  37   ~;  30   |;  10   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-1 aty)
%            Number of variables   :   48 (  48   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f726,plain,
    $false,
    inference(subsumption_resolution,[],[f725,f578]) ).

fof(f578,plain,
    ~ less(nn4,nn2),
    inference(resolution,[],[f543,f540]) ).

fof(f540,plain,
    less(nn2,nn4),
    inference(cnf_transformation,[],[f404]) ).

fof(f404,plain,
    less(nn2,nn4),
    inference(flattening,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ ~ less(nn2,nn4),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    ~ less(nn2,nn4),
    file('/export/starexec/sandbox/tmp/tmp.MBtoRD2Yu2/Vampire---4.8_18942',nn2_not_less_nn4) ).

fof(f543,plain,
    ! [X0,X1] :
      ( ~ less(X1,X0)
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f539]) ).

fof(f539,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | X0 = X1
        | less(X1,X0) )
      & ( ( X0 != X1
          & ~ less(X1,X0) )
        | ~ less(X0,X1) ) ),
    inference(flattening,[],[f538]) ).

fof(f538,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | X0 = X1
        | less(X1,X0) )
      & ( ( X0 != X1
          & ~ less(X1,X0) )
        | ~ less(X0,X1) ) ),
    inference(nnf_transformation,[],[f284]) ).

fof(f284,axiom,
    ! [X0,X1] :
      ( less(X0,X1)
    <=> ( X0 != X1
        & ~ less(X1,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.MBtoRD2Yu2/Vampire---4.8_18942',less_property) ).

fof(f725,plain,
    less(nn4,nn2),
    inference(resolution,[],[f712,f550]) ).

fof(f550,plain,
    rdn_translate(nn4,rdn_neg(rdnn(n4))),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,axiom,
    rdn_translate(nn4,rdn_neg(rdnn(n4))),
    file('/export/starexec/sandbox/tmp/tmp.MBtoRD2Yu2/Vampire---4.8_18942',rdnn4) ).

fof(f712,plain,
    ! [X0] :
      ( ~ rdn_translate(X0,rdn_neg(rdnn(n4)))
      | less(X0,nn2) ),
    inference(resolution,[],[f693,f563]) ).

fof(f563,plain,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    inference(cnf_transformation,[],[f269]) ).

fof(f269,axiom,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    file('/export/starexec/sandbox/tmp/tmp.MBtoRD2Yu2/Vampire---4.8_18942',rdn_positive_less34) ).

fof(f693,plain,
    ! [X0,X1] :
      ( ~ rdn_positive_less(rdnn(n3),rdnn(X1))
      | ~ rdn_translate(X0,rdn_neg(rdnn(X1)))
      | less(X0,nn2) ),
    inference(resolution,[],[f641,f564]) ).

fof(f564,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    inference(cnf_transformation,[],[f268]) ).

fof(f268,axiom,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox/tmp/tmp.MBtoRD2Yu2/Vampire---4.8_18942',rdn_positive_less23) ).

fof(f641,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_positive_less(rdnn(n2),rdnn(X2))
      | ~ rdn_translate(X0,rdn_neg(rdnn(X1)))
      | ~ rdn_positive_less(rdnn(X2),rdnn(X1))
      | less(X0,nn2) ),
    inference(resolution,[],[f595,f557]) ).

fof(f557,plain,
    ! [X2,X0,X1] :
      ( rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
    inference(cnf_transformation,[],[f537]) ).

fof(f537,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
    inference(flattening,[],[f536]) ).

fof(f536,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
    inference(ennf_transformation,[],[f275]) ).

fof(f275,axiom,
    ! [X0,X1,X2] :
      ( ( rdn_positive_less(rdnn(X1),rdnn(X2))
        & rdn_positive_less(rdnn(X0),rdnn(X1)) )
     => rdn_positive_less(rdnn(X0),rdnn(X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.MBtoRD2Yu2/Vampire---4.8_18942',rdn_positive_less_transitivity) ).

fof(f595,plain,
    ! [X0,X1] :
      ( ~ rdn_positive_less(rdnn(n2),X0)
      | less(X1,nn2)
      | ~ rdn_translate(X1,rdn_neg(X0)) ),
    inference(resolution,[],[f546,f549]) ).

fof(f549,plain,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,axiom,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    file('/export/starexec/sandbox/tmp/tmp.MBtoRD2Yu2/Vampire---4.8_18942',rdnn2) ).

fof(f546,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_translate(X1,rdn_neg(X3))
      | ~ rdn_positive_less(X3,X2)
      | less(X0,X1)
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(cnf_transformation,[],[f520]) ).

fof(f520,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_positive_less(X3,X2)
      | ~ rdn_translate(X1,rdn_neg(X3))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(flattening,[],[f519]) ).

fof(f519,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_positive_less(X3,X2)
      | ~ rdn_translate(X1,rdn_neg(X3))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(ennf_transformation,[],[f405]) ).

fof(f405,plain,
    ! [X0,X1,X2,X3] :
      ( ( rdn_positive_less(X3,X2)
        & rdn_translate(X1,rdn_neg(X3))
        & rdn_translate(X0,rdn_neg(X2)) )
     => less(X0,X1) ),
    inference(rectify,[],[f283]) ).

fof(f283,axiom,
    ! [X0,X1,X9,X10] :
      ( ( rdn_positive_less(X10,X9)
        & rdn_translate(X1,rdn_neg(X10))
        & rdn_translate(X0,rdn_neg(X9)) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.MBtoRD2Yu2/Vampire---4.8_18942',less_entry_point_neg_neg) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : NUM299+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.13  % 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
% 0.12/0.33  % Computer : n029.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   : Tue Apr 30 17:09:35 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33  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.MBtoRD2Yu2/Vampire---4.8_18942
% 0.65/0.84  % (19054)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)
% 0.65/0.84  % (19056)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.84  % (19057)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)
% 0.65/0.84  % (19055)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)
% 0.65/0.84  % (19058)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)
% 0.65/0.84  % (19059)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)
% 0.65/0.84  % (19060)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)
% 0.65/0.84  % (19061)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)
% 0.65/0.84  % (19057)Refutation not found, incomplete strategy% (19057)------------------------------
% 0.65/0.84  % (19057)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.84  % (19057)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.84  
% 0.65/0.84  % (19057)Memory used [KB]: 1254
% 0.65/0.84  % (19057)Time elapsed: 0.003 s
% 0.65/0.84  % (19057)Instructions burned: 3 (million)
% 0.65/0.84  % (19057)------------------------------
% 0.65/0.84  % (19057)------------------------------
% 0.65/0.84  % (19059)Refutation not found, incomplete strategy% (19059)------------------------------
% 0.65/0.84  % (19059)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.84  % (19059)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.84  
% 0.65/0.84  % (19059)Memory used [KB]: 1269
% 0.65/0.84  % (19059)Time elapsed: 0.003 s
% 0.65/0.84  % (19059)Instructions burned: 4 (million)
% 0.65/0.84  % (19059)------------------------------
% 0.65/0.84  % (19059)------------------------------
% 0.65/0.84  % (19054)Refutation not found, incomplete strategy% (19054)------------------------------
% 0.65/0.84  % (19054)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.84  % (19054)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.84  
% 0.65/0.84  % (19054)Memory used [KB]: 1275
% 0.65/0.84  % (19054)Time elapsed: 0.004 s
% 0.65/0.84  % (19054)Instructions burned: 4 (million)
% 0.65/0.84  % (19054)------------------------------
% 0.65/0.84  % (19054)------------------------------
% 0.65/0.84  % (19061)Refutation not found, incomplete strategy% (19061)------------------------------
% 0.65/0.84  % (19061)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.84  % (19061)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.84  
% 0.65/0.84  % (19061)Memory used [KB]: 1259
% 0.65/0.84  % (19061)Time elapsed: 0.003 s
% 0.65/0.84  % (19061)Instructions burned: 4 (million)
% 0.65/0.84  % (19061)------------------------------
% 0.65/0.84  % (19061)------------------------------
% 0.65/0.84  % (19062)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)
% 0.65/0.84  % (19063)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)
% 0.65/0.84  % (19064)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)
% 0.65/0.84  % (19065)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)
% 0.65/0.84  % (19062)Refutation not found, incomplete strategy% (19062)------------------------------
% 0.65/0.84  % (19062)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.84  % (19062)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.84  
% 0.65/0.84  % (19062)Memory used [KB]: 1251
% 0.65/0.84  % (19062)Time elapsed: 0.003 s
% 0.65/0.84  % (19062)Instructions burned: 3 (million)
% 0.65/0.84  % (19062)------------------------------
% 0.65/0.84  % (19062)------------------------------
% 0.65/0.84  % (19064)Refutation not found, incomplete strategy% (19064)------------------------------
% 0.65/0.84  % (19064)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.84  % (19064)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.84  
% 0.65/0.84  % (19064)Memory used [KB]: 1274
% 0.65/0.84  % (19064)Time elapsed: 0.003 s
% 0.65/0.84  % (19064)Instructions burned: 4 (million)
% 0.65/0.84  % (19064)------------------------------
% 0.65/0.84  % (19064)------------------------------
% 0.65/0.84  % (19056)First to succeed.
% 0.65/0.85  % (19060)Also succeeded, but the first one will report.
% 0.65/0.85  % (19058)Refutation not found, incomplete strategy% (19058)------------------------------
% 0.65/0.85  % (19058)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.85  % (19058)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.85  
% 0.65/0.85  % (19058)Memory used [KB]: 1436
% 0.65/0.85  % (19058)Time elapsed: 0.011 s
% 0.65/0.85  % (19058)Instructions burned: 22 (million)
% 0.65/0.85  % (19058)------------------------------
% 0.65/0.85  % (19058)------------------------------
% 0.65/0.85  % (19056)Refutation found. Thanks to Tanya!
% 0.65/0.85  % SZS status Theorem for Vampire---4
% 0.65/0.85  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.85  % (19056)------------------------------
% 0.65/0.85  % (19056)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.85  % (19056)Termination reason: Refutation
% 0.65/0.85  
% 0.65/0.85  % (19056)Memory used [KB]: 1383
% 0.65/0.85  % (19056)Time elapsed: 0.010 s
% 0.65/0.85  % (19056)Instructions burned: 16 (million)
% 0.65/0.85  % (19056)------------------------------
% 0.65/0.85  % (19056)------------------------------
% 0.65/0.85  % (19050)Success in time 0.504 s
% 0.65/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------