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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM291+1 : TPTP v8.2.0. 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 : n032.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 : Tue May 21 01:39:12 EDT 2024

% Result   : Theorem 0.51s 0.69s
% Output   : Refutation 0.51s
% 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(f929,plain,
    $false,
    inference(subsumption_resolution,[],[f928,f477]) ).

fof(f477,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/benchmark/theBenchmark.p',rdn2) ).

fof(f928,plain,
    ~ rdn_translate(n2,rdn_pos(rdnn(n2))),
    inference(resolution,[],[f920,f742]) ).

fof(f742,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/sandbox2/benchmark/theBenchmark.p',rdn_positive_less23) ).

fof(f920,plain,
    ! [X0] :
      ( ~ rdn_positive_less(X0,rdnn(n3))
      | ~ rdn_translate(n2,rdn_pos(X0)) ),
    inference(resolution,[],[f897,f478]) ).

fof(f478,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/sandbox2/benchmark/theBenchmark.p',rdn3) ).

fof(f897,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(n3,rdn_pos(X1))
      | ~ rdn_positive_less(X0,X1)
      | ~ rdn_translate(n2,rdn_pos(X0)) ),
    inference(resolution,[],[f890,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,[],[f436]) ).

fof(f436,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,[],[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(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/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).

fof(f890,plain,
    ~ less(n2,n3),
    inference(resolution,[],[f879,f758]) ).

fof(f758,plain,
    ! [X0,X1] :
      ( ~ less(X1,X0)
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f473]) ).

fof(f473,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | X0 = X1
        | less(X1,X0) )
      & ( ( X0 != X1
          & ~ less(X1,X0) )
        | ~ less(X0,X1) ) ),
    inference(flattening,[],[f472]) ).

fof(f472,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/sandbox2/benchmark/theBenchmark.p',less_property) ).

fof(f879,plain,
    less(n3,n2),
    inference(cnf_transformation,[],[f425]) ).

fof(f425,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/sandbox2/benchmark/theBenchmark.p',n3_not_less_n2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : NUM291+1 : TPTP v8.2.0. Released v3.1.0.
% 0.03/0.13  % 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
% 0.13/0.32  % Computer : n032.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Mon May 20 04:11:07 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.13/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.33  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/benchmark/theBenchmark.p
% 0.51/0.68  % (13598)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 theBenchmark for (2996ds/34Mi)
% 0.51/0.68  % (13594)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 theBenchmark for (2996ds/34Mi)
% 0.51/0.68  % (13601)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.51/0.68  % (13595)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 theBenchmark for (2996ds/51Mi)
% 0.51/0.68  % (13599)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.51/0.68  % (13600)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 theBenchmark for (2996ds/83Mi)
% 0.51/0.68  % (13601)Refutation not found, incomplete strategy% (13601)------------------------------
% 0.51/0.68  % (13601)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.68  % (13601)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.68  
% 0.51/0.68  % (13601)Memory used [KB]: 1282
% 0.51/0.68  % (13601)Time elapsed: 0.003 s
% 0.51/0.68  % (13601)Instructions burned: 4 (million)
% 0.51/0.68  % (13601)------------------------------
% 0.51/0.68  % (13601)------------------------------
% 0.51/0.68  % (13599)Refutation not found, incomplete strategy% (13599)------------------------------
% 0.51/0.68  % (13599)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.68  % (13594)Refutation not found, incomplete strategy% (13594)------------------------------
% 0.51/0.68  % (13594)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.68  % (13594)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.68  
% 0.51/0.68  % (13594)Memory used [KB]: 1306
% 0.51/0.68  % (13594)Time elapsed: 0.004 s
% 0.51/0.68  % (13594)Instructions burned: 5 (million)
% 0.51/0.68  % (13599)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.68  
% 0.51/0.68  % (13599)Memory used [KB]: 1293
% 0.51/0.68  % (13599)Time elapsed: 0.004 s
% 0.51/0.68  % (13599)Instructions burned: 4 (million)
% 0.51/0.68  % (13594)------------------------------
% 0.51/0.68  % (13594)------------------------------
% 0.51/0.68  % (13599)------------------------------
% 0.51/0.68  % (13599)------------------------------
% 0.51/0.68  % (13597)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.51/0.68  % (13597)Refutation not found, incomplete strategy% (13597)------------------------------
% 0.51/0.68  % (13597)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.68  % (13597)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.68  
% 0.51/0.68  % (13597)Memory used [KB]: 1279
% 0.51/0.68  % (13597)Time elapsed: 0.003 s
% 0.51/0.68  % (13597)Instructions burned: 3 (million)
% 0.51/0.68  % (13598)First to succeed.
% 0.51/0.69  % (13597)------------------------------
% 0.51/0.69  % (13597)------------------------------
% 0.51/0.69  % (13602)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 theBenchmark for (2996ds/55Mi)
% 0.51/0.69  % (13598)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13593"
% 0.51/0.69  % (13604)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.51/0.69  % (13603)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 theBenchmark for (2996ds/50Mi)
% 0.51/0.69  % (13596)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.51/0.69  % (13598)Refutation found. Thanks to Tanya!
% 0.51/0.69  % SZS status Theorem for theBenchmark
% 0.51/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 0.51/0.69  % (13598)------------------------------
% 0.51/0.69  % (13598)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.69  % (13598)Termination reason: Refutation
% 0.51/0.69  
% 0.51/0.69  % (13598)Memory used [KB]: 1479
% 0.51/0.69  % (13598)Time elapsed: 0.008 s
% 0.51/0.69  % (13598)Instructions burned: 23 (million)
% 0.51/0.69  % (13593)Success in time 0.352 s
% 0.51/0.69  % Vampire---4.8 exiting
%------------------------------------------------------------------------------