TSTP Solution File: SEU145+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU145+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n002.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 09:20:29 EDT 2024

% Result   : Theorem 0.60s 0.76s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   27 (  11 unt;   0 def)
%            Number of atoms       :   56 (   8 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   50 (  21   ~;  15   |;   5   &)
%                                         (   6 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   47 (  41   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f664,plain,
    $false,
    inference(subsumption_resolution,[],[f647,f16]) ).

fof(f16,plain,
    ~ in(sK2,sK0),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ? [X0,X1,X2] :
      ( ~ subset(X0,set_difference(X1,singleton(X2)))
      & ~ in(X2,X0)
      & subset(X0,X1) ),
    inference(flattening,[],[f11]) ).

fof(f11,plain,
    ? [X0,X1,X2] :
      ( ~ subset(X0,set_difference(X1,singleton(X2)))
      & ~ in(X2,X0)
      & subset(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( subset(X0,X1)
       => ( subset(X0,set_difference(X1,singleton(X2)))
          | in(X2,X0) ) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ! [X0,X1,X2] :
      ( subset(X0,X1)
     => ( subset(X0,set_difference(X1,singleton(X2)))
        | in(X2,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lX7RU17bcS/Vampire---4.8_772',l3_zfmisc_1) ).

fof(f647,plain,
    in(sK2,sK0),
    inference(superposition,[],[f49,f636]) ).

fof(f636,plain,
    sK2 = sK6(sK0,set_difference(sK1,singleton(sK2))),
    inference(unit_resulting_resolution,[],[f303,f34]) ).

fof(f34,plain,
    ! [X2,X0] :
      ( ~ in(X2,singleton(X0))
      | X0 = X2 ),
    inference(equality_resolution,[],[f19]) ).

fof(f19,plain,
    ! [X2,X0,X1] :
      ( X0 = X2
      | ~ in(X2,X1)
      | singleton(X0) != X1 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( singleton(X0) = X1
    <=> ! [X2] :
          ( in(X2,X1)
        <=> X0 = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.lX7RU17bcS/Vampire---4.8_772',d1_tarski) ).

fof(f303,plain,
    in(sK6(sK0,set_difference(sK1,singleton(sK2))),singleton(sK2)),
    inference(unit_resulting_resolution,[],[f111,f124,f23]) ).

fof(f23,plain,
    ! [X3,X0,X1] :
      ( sP5(X3,X1,X0)
      | in(X3,X1)
      | ~ in(X3,X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( set_difference(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( ~ in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lX7RU17bcS/Vampire---4.8_772',d4_xboole_0) ).

fof(f124,plain,
    ~ sP5(sK6(sK0,set_difference(sK1,singleton(sK2))),singleton(sK2),sK1),
    inference(unit_resulting_resolution,[],[f50,f38]) ).

fof(f38,plain,
    ! [X3,X0,X1] :
      ( in(X3,set_difference(X0,X1))
      | ~ sP5(X3,X1,X0) ),
    inference(equality_resolution,[],[f26]) ).

fof(f26,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP5(X3,X1,X0)
      | in(X3,X2)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f50,plain,
    ~ in(sK6(sK0,set_difference(sK1,singleton(sK2))),set_difference(sK1,singleton(sK2))),
    inference(unit_resulting_resolution,[],[f17,f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ in(sK6(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lX7RU17bcS/Vampire---4.8_772',d3_tarski) ).

fof(f17,plain,
    ~ subset(sK0,set_difference(sK1,singleton(sK2))),
    inference(cnf_transformation,[],[f12]) ).

fof(f111,plain,
    in(sK6(sK0,set_difference(sK1,singleton(sK2))),sK1),
    inference(unit_resulting_resolution,[],[f15,f49,f31]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | in(X2,X1)
      | ~ in(X2,X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f15,plain,
    subset(sK0,sK1),
    inference(cnf_transformation,[],[f12]) ).

fof(f49,plain,
    in(sK6(sK0,set_difference(sK1,singleton(sK2))),sK0),
    inference(unit_resulting_resolution,[],[f17,f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( in(sK6(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU145+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15  % 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
% 0.16/0.36  % Computer : n002.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 11:28:27 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  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.lX7RU17bcS/Vampire---4.8_772
% 0.56/0.74  % (1269)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)
% 0.56/0.75  % (1261)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)
% 0.56/0.75  % (1263)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (1262)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)
% 0.56/0.75  % (1265)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)
% 0.56/0.75  % (1264)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)
% 0.56/0.75  % (1267)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)
% 0.56/0.75  % (1268)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)
% 0.56/0.75  % (1267)Refutation not found, incomplete strategy% (1267)------------------------------
% 0.56/0.75  % (1267)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (1267)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (1267)Memory used [KB]: 972
% 0.56/0.75  % (1267)Time elapsed: 0.003 s
% 0.56/0.75  % (1267)Instructions burned: 3 (million)
% 0.56/0.75  % (1265)Refutation not found, incomplete strategy% (1265)------------------------------
% 0.56/0.75  % (1265)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (1267)------------------------------
% 0.56/0.75  % (1267)------------------------------
% 0.56/0.75  % (1265)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (1265)Memory used [KB]: 1052
% 0.56/0.75  % (1265)Time elapsed: 0.004 s
% 0.56/0.75  % (1265)Instructions burned: 4 (million)
% 0.56/0.75  % (1265)------------------------------
% 0.56/0.75  % (1265)------------------------------
% 0.60/0.75  % (1272)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)
% 0.60/0.75  % (1273)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)
% 0.60/0.76  % (1269)Instruction limit reached!
% 0.60/0.76  % (1269)------------------------------
% 0.60/0.76  % (1269)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (1269)Termination reason: Unknown
% 0.60/0.76  % (1269)Termination phase: Saturation
% 0.60/0.76  
% 0.60/0.76  % (1269)Memory used [KB]: 1162
% 0.60/0.76  % (1269)Time elapsed: 0.017 s
% 0.60/0.76  % (1269)Instructions burned: 59 (million)
% 0.60/0.76  % (1269)------------------------------
% 0.60/0.76  % (1269)------------------------------
% 0.60/0.76  % (1268)First to succeed.
% 0.60/0.76  % (1268)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1062"
% 0.60/0.76  % (1268)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  % (1268)------------------------------
% 0.60/0.76  % (1268)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (1268)Termination reason: Refutation
% 0.60/0.76  
% 0.60/0.76  % (1268)Memory used [KB]: 1162
% 0.60/0.76  % (1268)Time elapsed: 0.016 s
% 0.60/0.76  % (1268)Instructions burned: 24 (million)
% 0.60/0.76  % (1062)Success in time 0.388 s
% 0.60/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------