TSTP Solution File: NUM835+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM835+2 : TPTP v8.1.2. Released v4.1.0.
% 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 : n012.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 08:15:54 EDT 2024

% Result   : Theorem 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   5 unt;   0 def)
%            Number of atoms       :   67 (  53 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   74 (  26   ~;  30   |;  14   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   51 (  33   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f132,plain,
    $false,
    inference(unit_resulting_resolution,[],[f127,f78,f76,f77,f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( vplus(X1,sK1(X0,X1)) = X0
      | vplus(X0,sK0(X0,X1)) = X1
      | X0 = X1
      | ~ m(X1) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ( m(X1)
        | ( ! [X2] : vplus(X0,X2) != X1
          & ! [X3] : vplus(X1,X3) != X0
          & X0 != X1 ) )
      & ( vplus(X0,sK0(X0,X1)) = X1
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1
        | ~ m(X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f72,f74,f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ? [X4] : vplus(X0,X4) = X1
     => vplus(X0,sK0(X0,X1)) = X1 ),
    introduced(choice_axiom,[]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ? [X5] : vplus(X1,X5) = X0
     => vplus(X1,sK1(X0,X1)) = X0 ),
    introduced(choice_axiom,[]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ( m(X1)
        | ( ! [X2] : vplus(X0,X2) != X1
          & ! [X3] : vplus(X1,X3) != X0
          & X0 != X1 ) )
      & ( ? [X4] : vplus(X0,X4) = X1
        | ? [X5] : vplus(X1,X5) = X0
        | X0 = X1
        | ~ m(X1) ) ),
    inference(rectify,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ( m(X1)
        | ( ! [X2] : vplus(X0,X2) != X1
          & ! [X3] : vplus(X1,X3) != X0
          & X0 != X1 ) )
      & ( ? [X2] : vplus(X0,X2) = X1
        | ? [X3] : vplus(X1,X3) = X0
        | X0 = X1
        | ~ m(X1) ) ),
    inference(flattening,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ( m(X1)
        | ( ! [X2] : vplus(X0,X2) != X1
          & ! [X3] : vplus(X1,X3) != X0
          & X0 != X1 ) )
      & ( ? [X2] : vplus(X0,X2) = X1
        | ? [X3] : vplus(X1,X3) = X0
        | X0 = X1
        | ~ m(X1) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( m(X1)
    <=> ( ? [X2] : vplus(X0,X2) = X1
        | ? [X3] : vplus(X1,X3) = X0
        | X0 = X1 ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X2,X3] :
      ( m(X3)
    <=> ( ? [X5] : vplus(X2,X5) = X3
        | ? [X4] : vplus(X3,X4) = X2
        | X2 = X3 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Twy37gAleP/Vampire---4.8_10613','def(cond(conseq(105), 0), 1)') ).

fof(f77,plain,
    ! [X0] : vd151 != vplus(vd165,X0),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( vd165 != vd151
    & ! [X0] : vd151 != vplus(vd165,X0)
    & ! [X1] : vd165 != vplus(vd151,X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ~ ( vd165 = vd151
      | ? [X0] : vd151 = vplus(vd165,X0)
      | ? [X1] : vd165 = vplus(vd151,X1) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( vd165 = vd151
      | ? [X1] : vd151 = vplus(vd165,X1)
      | ? [X0] : vd165 = vplus(vd151,X0) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( vd165 = vd151
    | ? [X1] : vd151 = vplus(vd165,X1)
    | ? [X0] : vd165 = vplus(vd151,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.Twy37gAleP/Vampire---4.8_10613','dis(case_distinction(conseq(110)))') ).

fof(f76,plain,
    ! [X1] : vd165 != vplus(vd151,X1),
    inference(cnf_transformation,[],[f44]) ).

fof(f78,plain,
    vd165 != vd151,
    inference(cnf_transformation,[],[f44]) ).

fof(f127,plain,
    ! [X1] : m(X1),
    inference(equality_resolution,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( m(X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f75]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM835+2 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14  % 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 : n012.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 14:37:23 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  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.Twy37gAleP/Vampire---4.8_10613
% 0.57/0.73  % (10769)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)
% 0.57/0.73  % (10763)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)
% 0.57/0.73  % (10765)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73  % (10764)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)
% 0.57/0.73  % (10766)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)
% 0.57/0.73  % (10768)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)
% 0.57/0.73  % (10767)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)
% 0.57/0.73  % (10766)Refutation not found, incomplete strategy% (10766)------------------------------
% 0.57/0.73  % (10766)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (10766)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (10766)Memory used [KB]: 957
% 0.57/0.73  % (10766)Time elapsed: 0.003 s
% 0.57/0.73  % (10766)Instructions burned: 2 (million)
% 0.57/0.73  % (10766)------------------------------
% 0.57/0.73  % (10766)------------------------------
% 0.57/0.73  % (10763)Refutation not found, incomplete strategy% (10763)------------------------------
% 0.57/0.73  % (10763)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (10763)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (10767)Refutation not found, incomplete strategy% (10767)------------------------------
% 0.57/0.73  % (10767)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (10763)Memory used [KB]: 1044
% 0.57/0.73  % (10767)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (10767)Memory used [KB]: 1048
% 0.57/0.73  % (10767)Time elapsed: 0.003 s
% 0.57/0.73  % (10767)Instructions burned: 3 (million)
% 0.57/0.73  % (10763)Time elapsed: 0.003 s
% 0.57/0.73  % (10763)Instructions burned: 3 (million)
% 0.57/0.73  % (10767)------------------------------
% 0.57/0.73  % (10767)------------------------------
% 0.57/0.73  % (10763)------------------------------
% 0.57/0.73  % (10763)------------------------------
% 0.57/0.73  % (10773)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 (2996ds/208Mi)
% 0.57/0.73  % (10770)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)
% 0.57/0.73  % (10771)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)
% 0.57/0.73  % (10770)Refutation not found, incomplete strategy% (10770)------------------------------
% 0.57/0.73  % (10770)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (10770)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (10770)Memory used [KB]: 957
% 0.57/0.73  % (10770)Time elapsed: 0.003 s
% 0.57/0.73  % (10770)Instructions burned: 2 (million)
% 0.57/0.73  % (10770)------------------------------
% 0.57/0.73  % (10770)------------------------------
% 0.57/0.74  % (10772)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 (2996ds/50Mi)
% 0.57/0.74  % (10772)Refutation not found, incomplete strategy% (10772)------------------------------
% 0.57/0.74  % (10772)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (10772)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (10772)Memory used [KB]: 1042
% 0.57/0.74  % (10772)Time elapsed: 0.003 s
% 0.57/0.74  % (10772)Instructions burned: 4 (million)
% 0.57/0.74  % (10772)------------------------------
% 0.57/0.74  % (10772)------------------------------
% 0.57/0.74  % (10774)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 (2996ds/52Mi)
% 0.57/0.75  % (10775)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 (2996ds/518Mi)
% 0.57/0.75  % (10775)First to succeed.
% 0.57/0.75  % (10775)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10762"
% 0.57/0.75  % (10768)Instruction limit reached!
% 0.57/0.75  % (10768)------------------------------
% 0.57/0.75  % (10768)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (10768)Termination reason: Unknown
% 0.57/0.75  % (10768)Termination phase: Saturation
% 0.57/0.75  
% 0.57/0.75  % (10768)Memory used [KB]: 1346
% 0.57/0.75  % (10768)Time elapsed: 0.023 s
% 0.57/0.75  % (10768)Instructions burned: 46 (million)
% 0.57/0.75  % (10768)------------------------------
% 0.57/0.75  % (10768)------------------------------
% 0.57/0.75  % (10775)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Theorem for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (10775)------------------------------
% 0.57/0.75  % (10775)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (10775)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (10775)Memory used [KB]: 1048
% 0.57/0.75  % (10775)Time elapsed: 0.005 s
% 0.57/0.75  % (10775)Instructions burned: 5 (million)
% 0.57/0.75  % (10762)Success in time 0.373 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------