TSTP Solution File: NUM294+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM294+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 : n016.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 0.76s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   24 (  12 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   45 (  22   ~;  15   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   48 (  46   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1288,plain,
    $false,
    inference(subsumption_resolution,[],[f1180,f741]) ).

fof(f741,plain,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    inference(cnf_transformation,[],[f267]) ).

fof(f267,axiom,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    file('/export/starexec/sandbox/tmp/tmp.c5Z6Am4BJm/Vampire---4.8_25484',rdn_positive_less12) ).

fof(f1180,plain,
    ~ rdn_positive_less(rdnn(n1),rdnn(n2)),
    inference(resolution,[],[f1159,f495]) ).

fof(f495,plain,
    rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,axiom,
    rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
    file('/export/starexec/sandbox/tmp/tmp.c5Z6Am4BJm/Vampire---4.8_25484',rdn20) ).

fof(f1159,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
      | ~ rdn_positive_less(rdnn(n1),X2) ),
    inference(resolution,[],[f1158,f750]) ).

fof(f750,plain,
    ! [X2,X3,X0,X1] :
      ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
      | ~ rdn_positive_less(X1,X3) ),
    inference(cnf_transformation,[],[f428]) ).

fof(f428,plain,
    ! [X0,X1,X2,X3] :
      ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
      | ~ rdn_positive_less(X1,X3) ),
    inference(ennf_transformation,[],[f404]) ).

fof(f404,plain,
    ! [X0,X1,X2,X3] :
      ( rdn_positive_less(X1,X3)
     => rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ),
    inference(rectify,[],[f276]) ).

fof(f276,axiom,
    ! [X3,X4,X5,X6] :
      ( rdn_positive_less(X4,X6)
     => rdn_positive_less(rdn(rdnn(X3),X4),rdn(rdnn(X5),X6)) ),
    file('/export/starexec/sandbox/tmp/tmp.c5Z6Am4BJm/Vampire---4.8_25484',rdn_positive_less_multi_digit_high) ).

fof(f1158,plain,
    ! [X0,X1] :
      ( ~ rdn_positive_less(rdn(rdnn(n2),rdnn(n1)),X1)
      | ~ rdn_translate(X0,rdn_pos(X1)) ),
    inference(resolution,[],[f894,f487]) ).

fof(f487,plain,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    file('/export/starexec/sandbox/tmp/tmp.c5Z6Am4BJm/Vampire---4.8_25484',rdn12) ).

fof(f894,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_translate(n12,rdn_pos(X1))
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_positive_less(X1,X2) ),
    inference(resolution,[],[f879,f755]) ).

fof(f755,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,[],[f435]) ).

fof(f435,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,[],[f434]) ).

fof(f434,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,[],[f408]) ).

fof(f408,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.c5Z6Am4BJm/Vampire---4.8_25484',less_entry_point_pos_pos) ).

fof(f879,plain,
    ! [X0] : ~ less(n12,X0),
    inference(cnf_transformation,[],[f471]) ).

fof(f471,plain,
    ! [X0] : ~ less(n12,X0),
    inference(ennf_transformation,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ ? [X0] : less(n12,X0),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    ? [X0] : less(n12,X0),
    file('/export/starexec/sandbox/tmp/tmp.c5Z6Am4BJm/Vampire---4.8_25484',n12_less_something) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : NUM294+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.11  % 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
% 0.10/0.31  % Computer : n016.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 15:26:22 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31  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.c5Z6Am4BJm/Vampire---4.8_25484
% 0.57/0.75  % (25592)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)
% 0.57/0.75  % (25594)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.75  % (25593)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)
% 0.57/0.75  % (25595)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)
% 0.57/0.75  % (25597)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)
% 0.57/0.75  % (25596)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)
% 0.57/0.75  % (25598)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)
% 0.57/0.75  % (25599)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)
% 0.57/0.75  % (25595)Refutation not found, incomplete strategy% (25595)------------------------------
% 0.57/0.75  % (25595)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (25595)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (25595)Memory used [KB]: 1261
% 0.57/0.75  % (25595)Time elapsed: 0.003 s
% 0.57/0.75  % (25597)Refutation not found, incomplete strategy% (25597)------------------------------
% 0.57/0.75  % (25597)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (25597)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (25592)Refutation not found, incomplete strategy% (25592)------------------------------
% 0.57/0.75  % (25592)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (25597)Memory used [KB]: 1272
% 0.57/0.75  % (25592)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  % (25597)Time elapsed: 0.003 s
% 0.57/0.75  
% 0.57/0.75  % (25592)Memory used [KB]: 1275
% 0.57/0.75  % (25597)Instructions burned: 4 (million)
% 0.57/0.75  % (25592)Time elapsed: 0.004 s
% 0.57/0.75  % (25592)Instructions burned: 4 (million)
% 0.57/0.75  % (25595)Instructions burned: 3 (million)
% 0.57/0.75  % (25592)------------------------------
% 0.57/0.75  % (25592)------------------------------
% 0.57/0.75  % (25597)------------------------------
% 0.57/0.75  % (25597)------------------------------
% 0.57/0.75  % (25595)------------------------------
% 0.57/0.75  % (25595)------------------------------
% 0.57/0.76  % (25602)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)
% 0.57/0.76  % (25600)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)
% 0.57/0.76  % (25601)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)
% 0.57/0.76  % (25600)Refutation not found, incomplete strategy% (25600)------------------------------
% 0.57/0.76  % (25600)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (25600)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (25600)Memory used [KB]: 1258
% 0.57/0.76  % (25600)Time elapsed: 0.003 s
% 0.57/0.76  % (25600)Instructions burned: 3 (million)
% 0.57/0.76  % (25602)Refutation not found, incomplete strategy% (25602)------------------------------
% 0.57/0.76  % (25602)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (25600)------------------------------
% 0.57/0.76  % (25600)------------------------------
% 0.57/0.76  % (25602)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (25602)Memory used [KB]: 1275
% 0.57/0.76  % (25602)Time elapsed: 0.003 s
% 0.57/0.76  % (25602)Instructions burned: 4 (million)
% 0.57/0.76  % (25602)------------------------------
% 0.57/0.76  % (25602)------------------------------
% 0.60/0.76  % (25596)First to succeed.
% 0.60/0.76  % (25598)Refutation not found, incomplete strategy% (25598)------------------------------
% 0.60/0.76  % (25598)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (25598)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (25598)Memory used [KB]: 1518
% 0.60/0.76  % (25598)Time elapsed: 0.011 s
% 0.60/0.76  % (25598)Instructions burned: 22 (million)
% 0.60/0.76  % (25596)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25591"
% 0.60/0.76  % (25598)------------------------------
% 0.60/0.76  % (25598)------------------------------
% 0.60/0.76  % (25603)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)
% 0.60/0.76  % (25604)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.76  % (25596)Refutation found. Thanks to Tanya!
% 0.60/0.76  % SZS status Theorem for Vampire---4
% 0.60/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76  % (25596)------------------------------
% 0.60/0.76  % (25596)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (25596)Termination reason: Refutation
% 0.60/0.76  
% 0.60/0.76  % (25596)Memory used [KB]: 1485
% 0.60/0.76  % (25596)Time elapsed: 0.012 s
% 0.60/0.76  % (25596)Instructions burned: 25 (million)
% 0.60/0.76  % (25591)Success in time 0.448 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------