TSTP Solution File: NUM292+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM292+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 : n006.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 0.55s 0.75s
% Output   : Refutation 0.55s
% 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   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f693,plain,
    $false,
    inference(unit_resulting_resolution,[],[f622,f690,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.uCWUCBfRQK/Vampire---4.8_9107',rdn_non_zero_by_digit) ).

fof(f690,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,[],[f424]) ).

fof(f424,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.uCWUCBfRQK/Vampire---4.8_9107',rdn_extra_digits_positive_less) ).

fof(f689,plain,
    ~ rdn_positive_less(rdnn(n2),rdn(rdnn(n3),rdnn(n1))),
    inference(unit_resulting_resolution,[],[f495,f662,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(f662,plain,
    ~ sP3(n2,rdn(rdnn(n3),rdnn(n1))),
    inference(unit_resulting_resolution,[],[f502,f467,f631]) ).

fof(f631,plain,
    ! [X3,X0,X1] :
      ( ~ rdn_translate(X1,rdn_pos(X3))
      | less(X0,X1)
      | ~ sP3(X0,X3) ),
    inference(general_splitting,[],[f501,f630_D]) ).

fof(f501,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,[],[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/sandbox2/tmp/tmp.uCWUCBfRQK/Vampire---4.8_9107',less_entry_point_pos_pos) ).

fof(f467,plain,
    ~ less(n2,n13),
    inference(cnf_transformation,[],[f404]) ).

fof(f404,plain,
    ~ less(n2,n13),
    inference(flattening,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ less(n2,n13),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    less(n2,n13),
    file('/export/starexec/sandbox2/tmp/tmp.uCWUCBfRQK/Vampire---4.8_9107',n2_less_n13) ).

fof(f502,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.uCWUCBfRQK/Vampire---4.8_9107',rdn13) ).

fof(f495,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/sandbox2/tmp/tmp.uCWUCBfRQK/Vampire---4.8_9107',rdn2) ).

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.uCWUCBfRQK/Vampire---4.8_9107',rdn_digit1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM292+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.14  % 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
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 14:51:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35  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.uCWUCBfRQK/Vampire---4.8_9107
% 0.55/0.74  % (9250)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)
% 0.55/0.74  % (9251)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)
% 0.55/0.74  % (9244)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)
% 0.55/0.74  % (9246)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (9245)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)
% 0.55/0.74  % (9247)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)
% 0.55/0.74  % (9248)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)
% 0.55/0.74  % (9249)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)
% 0.55/0.74  % (9251)Refutation not found, incomplete strategy% (9251)------------------------------
% 0.55/0.74  % (9251)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (9251)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (9251)Memory used [KB]: 1275
% 0.55/0.74  % (9251)Time elapsed: 0.002 s
% 0.55/0.74  % (9251)Instructions burned: 4 (million)
% 0.55/0.74  % (9251)------------------------------
% 0.55/0.74  % (9251)------------------------------
% 0.55/0.74  % (9247)Refutation not found, incomplete strategy% (9247)------------------------------
% 0.55/0.74  % (9247)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (9247)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (9247)Memory used [KB]: 1261
% 0.55/0.74  % (9247)Time elapsed: 0.003 s
% 0.55/0.74  % (9247)Instructions burned: 4 (million)
% 0.55/0.74  % (9244)Refutation not found, incomplete strategy% (9244)------------------------------
% 0.55/0.74  % (9244)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (9247)------------------------------
% 0.55/0.74  % (9247)------------------------------
% 0.55/0.74  % (9249)Refutation not found, incomplete strategy% (9249)------------------------------
% 0.55/0.74  % (9249)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (9249)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (9249)Memory used [KB]: 1272
% 0.55/0.74  % (9249)Time elapsed: 0.004 s
% 0.55/0.74  % (9249)Instructions burned: 4 (million)
% 0.55/0.74  % (9244)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (9244)Memory used [KB]: 1279
% 0.55/0.74  % (9244)Time elapsed: 0.004 s
% 0.55/0.74  % (9244)Instructions burned: 5 (million)
% 0.55/0.74  % (9249)------------------------------
% 0.55/0.74  % (9249)------------------------------
% 0.55/0.74  % (9244)------------------------------
% 0.55/0.74  % (9244)------------------------------
% 0.55/0.74  % (9252)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)
% 0.55/0.74  % (9250)First to succeed.
% 0.55/0.74  % (9250)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9214"
% 0.55/0.74  % (9252)Refutation not found, incomplete strategy% (9252)------------------------------
% 0.55/0.74  % (9252)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (9252)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (9252)Memory used [KB]: 1259
% 0.55/0.74  % (9252)Time elapsed: 0.002 s
% 0.55/0.74  % (9252)Instructions burned: 3 (million)
% 0.55/0.74  % (9252)------------------------------
% 0.55/0.74  % (9252)------------------------------
% 0.55/0.75  % (9250)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Theorem for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (9250)------------------------------
% 0.55/0.75  % (9250)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (9250)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (9250)Memory used [KB]: 1374
% 0.55/0.75  % (9250)Time elapsed: 0.006 s
% 0.55/0.75  % (9250)Instructions burned: 18 (million)
% 0.55/0.75  % (9214)Success in time 0.382 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------