TSTP Solution File: NUM291+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM291+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 : n024.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 08:09:13 EDT 2024

% Result   : Theorem 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   24 (  13 unt;   0 def)
%            Number of atoms       :   55 (   5 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   60 (  29   ~;  19   |;   9   &)
%                                         (   1 <=>;   2  =>;   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    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f586,plain,
    $false,
    inference(subsumption_resolution,[],[f585,f566]) ).

fof(f566,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.pL2wMd9CVR/Vampire---4.8_22311',rdn_positive_less23) ).

fof(f585,plain,
    ~ rdn_positive_less(rdnn(n2),rdnn(n3)),
    inference(resolution,[],[f584,f541]) ).

fof(f541,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    file('/export/starexec/sandbox/tmp/tmp.pL2wMd9CVR/Vampire---4.8_22311',rdn2) ).

fof(f584,plain,
    ! [X0] :
      ( ~ rdn_translate(n2,rdn_pos(X0))
      | ~ rdn_positive_less(X0,rdnn(n3)) ),
    inference(resolution,[],[f583,f550]) ).

fof(f550,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox/tmp/tmp.pL2wMd9CVR/Vampire---4.8_22311',rdn3) ).

fof(f583,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(n3,rdn_pos(X1))
      | ~ rdn_positive_less(X0,X1)
      | ~ rdn_translate(n2,rdn_pos(X0)) ),
    inference(resolution,[],[f549,f576]) ).

fof(f576,plain,
    ~ less(n2,n3),
    inference(resolution,[],[f544,f540]) ).

fof(f540,plain,
    less(n3,n2),
    inference(cnf_transformation,[],[f404]) ).

fof(f404,plain,
    less(n3,n2),
    inference(flattening,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ ~ less(n3,n2),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    ~ less(n3,n2),
    file('/export/starexec/sandbox/tmp/tmp.pL2wMd9CVR/Vampire---4.8_22311',n3_not_less_n2) ).

fof(f544,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.pL2wMd9CVR/Vampire---4.8_22311',less_property) ).

fof(f549,plain,
    ! [X2,X3,X0,X1] :
      ( less(X0,X1)
      | ~ rdn_positive_less(X2,X3)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(cnf_transformation,[],[f524]) ).

fof(f524,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_positive_less(X2,X3)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(flattening,[],[f523]) ).

fof(f523,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_positive_less(X2,X3)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(ennf_transformation,[],[f407]) ).

fof(f407,plain,
    ! [X0,X1,X2,X3] :
      ( ( rdn_positive_less(X2,X3)
        & rdn_translate(X1,rdn_pos(X3))
        & rdn_translate(X0,rdn_pos(X2)) )
     => less(X0,X1) ),
    inference(rectify,[],[f281]) ).

fof(f281,axiom,
    ! [X0,X1,X9,X10] :
      ( ( rdn_positive_less(X9,X10)
        & rdn_translate(X1,rdn_pos(X10))
        & rdn_translate(X0,rdn_pos(X9)) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.pL2wMd9CVR/Vampire---4.8_22311',less_entry_point_pos_pos) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : NUM291+1 : TPTP v8.1.2. Released v3.1.0.
% 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
% 0.15/0.36  % Computer : n024.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 14:12:53 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.pL2wMd9CVR/Vampire---4.8_22311
% 0.60/0.76  % (22427)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)
% 0.60/0.76  % (22420)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)
% 0.60/0.76  % (22422)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76  % (22427)Refutation not found, incomplete strategy% (22427)------------------------------
% 0.60/0.76  % (22427)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (22427)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (22427)Memory used [KB]: 1258
% 0.60/0.76  % (22421)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)
% 0.60/0.76  % (22427)Time elapsed: 0.002 s
% 0.60/0.76  % (22427)Instructions burned: 4 (million)
% 0.60/0.76  % (22423)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)
% 0.60/0.76  % (22424)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)
% 0.60/0.76  % (22425)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)
% 0.60/0.76  % (22426)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)
% 0.60/0.76  % (22427)------------------------------
% 0.60/0.76  % (22427)------------------------------
% 0.60/0.76  % (22423)Refutation not found, incomplete strategy% (22423)------------------------------
% 0.60/0.76  % (22423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (22423)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (22423)Memory used [KB]: 1255
% 0.60/0.76  % (22423)Time elapsed: 0.003 s
% 0.60/0.76  % (22423)Instructions burned: 3 (million)
% 0.60/0.76  % (22423)------------------------------
% 0.60/0.76  % (22423)------------------------------
% 0.60/0.76  % (22425)Refutation not found, incomplete strategy% (22425)------------------------------
% 0.60/0.76  % (22425)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (22425)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (22425)Memory used [KB]: 1269
% 0.60/0.76  % (22425)Time elapsed: 0.004 s
% 0.60/0.76  % (22425)Instructions burned: 4 (million)
% 0.60/0.76  % (22420)Refutation not found, incomplete strategy% (22420)------------------------------
% 0.60/0.76  % (22420)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (22420)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (22420)Memory used [KB]: 1282
% 0.60/0.76  % (22420)Time elapsed: 0.004 s
% 0.60/0.76  % (22420)Instructions burned: 5 (million)
% 0.60/0.76  % (22425)------------------------------
% 0.60/0.76  % (22425)------------------------------
% 0.60/0.76  % (22428)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)
% 0.60/0.76  % (22420)------------------------------
% 0.60/0.76  % (22420)------------------------------
% 0.60/0.76  % (22428)Refutation not found, incomplete strategy% (22428)------------------------------
% 0.60/0.76  % (22428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (22428)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (22428)Memory used [KB]: 1252
% 0.60/0.76  % (22428)Time elapsed: 0.002 s
% 0.60/0.76  % (22428)Instructions burned: 3 (million)
% 0.60/0.76  % (22422)First to succeed.
% 0.60/0.77  % (22428)------------------------------
% 0.60/0.77  % (22428)------------------------------
% 0.60/0.77  % (22422)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22419"
% 0.60/0.77  % (22422)Refutation found. Thanks to Tanya!
% 0.60/0.77  % SZS status Theorem for Vampire---4
% 0.60/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77  % (22422)------------------------------
% 0.60/0.77  % (22422)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (22422)Termination reason: Refutation
% 0.60/0.77  
% 0.60/0.77  % (22422)Memory used [KB]: 1302
% 0.60/0.77  % (22422)Time elapsed: 0.006 s
% 0.60/0.77  % (22422)Instructions burned: 7 (million)
% 0.60/0.77  % (22419)Success in time 0.393 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------