TSTP Solution File: NUM293+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM293+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n013.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 03:28:21 EDT 2024

% Result   : Theorem 0.69s 0.86s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   29 (  14 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   54 (  26   ~;  18   |;   4   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   49 (  47   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f703,plain,
    $false,
    inference(unit_resulting_resolution,[],[f622,f700,f611]) ).

fof(f611,plain,
    ! [X0] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(cnf_transformation,[],[f463]) ).

fof(f463,plain,
    ! [X0] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(ennf_transformation,[],[f279]) ).

fof(f279,axiom,
    ! [X0] :
      ( rdn_non_zero_digit(rdnn(X0))
     => rdn_non_zero(rdnn(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.FpfY0hR53p/Vampire---4.8_29535',rdn_non_zero_by_digit) ).

fof(f700,plain,
    ~ rdn_non_zero(rdnn(n1)),
    inference(unit_resulting_resolution,[],[f689,f612]) ).

fof(f612,plain,
    ! [X2,X0,X1] :
      ( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
      | ~ rdn_non_zero(X2) ),
    inference(cnf_transformation,[],[f464]) ).

fof(f464,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
      | ~ rdn_non_zero(X2) ),
    inference(ennf_transformation,[],[f423]) ).

fof(f423,plain,
    ! [X0,X1,X2] :
      ( rdn_non_zero(X2)
     => rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
    inference(rectify,[],[f278]) ).

fof(f278,axiom,
    ! [X8,X5,X6] :
      ( rdn_non_zero(X6)
     => rdn_positive_less(rdnn(X8),rdn(rdnn(X5),X6)) ),
    file('/export/starexec/sandbox2/tmp/tmp.FpfY0hR53p/Vampire---4.8_29535',rdn_extra_digits_positive_less) ).

fof(f689,plain,
    ~ rdn_positive_less(rdnn(n0),rdn(rdnn(n3),rdnn(n1))),
    inference(unit_resulting_resolution,[],[f490,f666,f630]) ).

fof(f630,plain,
    ! [X2,X3,X0] :
      ( ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_positive_less(X2,X3)
      | sP3(X0,X3) ),
    inference(cnf_transformation,[],[f630_D]) ).

fof(f630_D,plain,
    ! [X3,X0] :
      ( ! [X2] :
          ( ~ rdn_translate(X0,rdn_pos(X2))
          | ~ rdn_positive_less(X2,X3) )
    <=> ~ sP3(X0,X3) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f666,plain,
    ! [X0] : ~ sP3(X0,rdn(rdnn(n3),rdnn(n1))),
    inference(unit_resulting_resolution,[],[f474,f467,f631]) ).

fof(f631,plain,
    ! [X3,X0,X1] :
      ( ~ rdn_translate(X1,rdn_pos(X3))
      | less(X0,X1)
      | ~ sP3(X0,X3) ),
    inference(general_splitting,[],[f473,f630_D]) ).

fof(f473,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_positive_less(X2,X3)
      | less(X0,X1) ),
    inference(cnf_transformation,[],[f431]) ).

fof(f431,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,[],[f430]) ).

fof(f430,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,[],[f406]) ).

fof(f406,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/sandbox2/tmp/tmp.FpfY0hR53p/Vampire---4.8_29535',less_entry_point_pos_pos) ).

fof(f467,plain,
    ! [X0] : ~ less(X0,n13),
    inference(cnf_transformation,[],[f425]) ).

fof(f425,plain,
    ! [X0] : ~ less(X0,n13),
    inference(ennf_transformation,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ ? [X0] : less(X0,n13),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    ? [X0] : less(X0,n13),
    file('/export/starexec/sandbox2/tmp/tmp.FpfY0hR53p/Vampire---4.8_29535',something_less_n13) ).

fof(f474,plain,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    file('/export/starexec/sandbox2/tmp/tmp.FpfY0hR53p/Vampire---4.8_29535',rdn13) ).

fof(f490,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox2/tmp/tmp.FpfY0hR53p/Vampire---4.8_29535',rdn0) ).

fof(f622,plain,
    rdn_non_zero_digit(rdnn(n1)),
    inference(cnf_transformation,[],[f257]) ).

fof(f257,axiom,
    rdn_non_zero_digit(rdnn(n1)),
    file('/export/starexec/sandbox2/tmp/tmp.FpfY0hR53p/Vampire---4.8_29535',rdn_digit1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM293+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n013.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   : Tue Apr 30 16:43:49 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.FpfY0hR53p/Vampire---4.8_29535
% 0.69/0.85  % (29749)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.69/0.85  % (29747)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)
% 0.69/0.85  % (29748)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)
% 0.69/0.85  % (29750)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)
% 0.69/0.85  % (29751)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)
% 0.69/0.85  % (29754)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)
% 0.69/0.85  % (29752)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)
% 0.69/0.85  % (29753)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)
% 0.69/0.85  % (29750)Refutation not found, incomplete strategy% (29750)------------------------------
% 0.69/0.85  % (29750)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.85  % (29750)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.85  
% 0.69/0.85  % (29750)Memory used [KB]: 1260
% 0.69/0.85  % (29750)Time elapsed: 0.004 s
% 0.69/0.85  % (29747)Refutation not found, incomplete strategy% (29747)------------------------------
% 0.69/0.85  % (29747)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.85  % (29747)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.85  
% 0.69/0.85  % (29747)Memory used [KB]: 1275
% 0.69/0.85  % (29747)Time elapsed: 0.004 s
% 0.69/0.85  % (29747)Instructions burned: 4 (million)
% 0.69/0.85  % (29747)------------------------------
% 0.69/0.85  % (29747)------------------------------
% 0.69/0.85  % (29750)Instructions burned: 3 (million)
% 0.69/0.85  % (29750)------------------------------
% 0.69/0.85  % (29750)------------------------------
% 0.69/0.85  % (29752)Refutation not found, incomplete strategy% (29752)------------------------------
% 0.69/0.85  % (29752)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.85  % (29752)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.85  
% 0.69/0.85  % (29752)Memory used [KB]: 1271
% 0.69/0.85  % (29752)Time elapsed: 0.004 s
% 0.69/0.85  % (29752)Instructions burned: 4 (million)
% 0.69/0.85  % (29752)------------------------------
% 0.69/0.85  % (29752)------------------------------
% 0.69/0.86  % (29756)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)
% 0.69/0.86  % (29757)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)
% 0.69/0.86  % (29758)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)
% 0.69/0.86  % (29756)Refutation not found, incomplete strategy% (29756)------------------------------
% 0.69/0.86  % (29756)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.86  % (29756)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.86  
% 0.69/0.86  % (29756)Memory used [KB]: 1258
% 0.69/0.86  % (29756)Time elapsed: 0.003 s
% 0.69/0.86  % (29756)Instructions burned: 3 (million)
% 0.69/0.86  % (29756)------------------------------
% 0.69/0.86  % (29756)------------------------------
% 0.69/0.86  % (29758)Refutation not found, incomplete strategy% (29758)------------------------------
% 0.69/0.86  % (29758)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.86  % (29758)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.86  
% 0.69/0.86  % (29758)Memory used [KB]: 1275
% 0.69/0.86  % (29758)Time elapsed: 0.004 s
% 0.69/0.86  % (29758)Instructions burned: 4 (million)
% 0.69/0.86  % (29758)------------------------------
% 0.69/0.86  % (29758)------------------------------
% 0.69/0.86  % (29753)First to succeed.
% 0.69/0.86  % (29751)Also succeeded, but the first one will report.
% 0.69/0.86  % (29753)Refutation found. Thanks to Tanya!
% 0.69/0.86  % SZS status Theorem for Vampire---4
% 0.69/0.86  % SZS output start Proof for Vampire---4
% See solution above
% 0.69/0.86  % (29753)------------------------------
% 0.69/0.86  % (29753)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.86  % (29753)Termination reason: Refutation
% 0.69/0.86  
% 0.69/0.86  % (29753)Memory used [KB]: 1382
% 0.69/0.86  % (29753)Time elapsed: 0.012 s
% 0.69/0.86  % (29753)Instructions burned: 19 (million)
% 0.69/0.86  % (29753)------------------------------
% 0.69/0.86  % (29753)------------------------------
% 0.69/0.86  % (29674)Success in time 0.487 s
% 0.69/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------