TSTP Solution File: SET009+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET009+3 : TPTP v8.2.0. Released v2.2.0.
% 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 : n014.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 03:07:36 EDT 2024

% Result   : Theorem 0.47s 0.71s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (   9 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (  15   ~;   9   |;   2   &)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   34 (  31   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f71,plain,
    $false,
    inference(subsumption_resolution,[],[f63,f33]) ).

fof(f33,plain,
    ~ member(sK3(difference(sK2,sK1),difference(sK2,sK0)),sK0),
    inference(unit_resulting_resolution,[],[f8,f24,f14]) ).

fof(f14,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | member(X2,X1)
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).

fof(f24,plain,
    ~ member(sK3(difference(sK2,sK1),difference(sK2,sK0)),sK1),
    inference(unit_resulting_resolution,[],[f19,f11]) ).

fof(f11,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1,X2] :
      ( member(X2,difference(X0,X1))
    <=> ( ~ member(X2,X1)
        & member(X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).

fof(f19,plain,
    member(sK3(difference(sK2,sK1),difference(sK2,sK0)),difference(sK2,sK1)),
    inference(unit_resulting_resolution,[],[f9,f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( member(sK3(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f9,plain,
    ~ subset(difference(sK2,sK1),difference(sK2,sK0)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ? [X0,X1,X2] :
      ( ~ subset(difference(X2,X1),difference(X2,X0))
      & subset(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( subset(X0,X1)
       => subset(difference(X2,X1),difference(X2,X0)) ),
    inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
    ! [X0,X1,X2] :
      ( subset(X0,X1)
     => subset(difference(X2,X1),difference(X2,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subset_difference) ).

fof(f8,plain,
    subset(sK0,sK1),
    inference(cnf_transformation,[],[f6]) ).

fof(f63,plain,
    member(sK3(difference(sK2,sK1),difference(sK2,sK0)),sK0),
    inference(unit_resulting_resolution,[],[f23,f20,f12]) ).

fof(f12,plain,
    ! [X2,X0,X1] :
      ( member(X2,difference(X0,X1))
      | member(X2,X1)
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f20,plain,
    ~ member(sK3(difference(sK2,sK1),difference(sK2,sK0)),difference(sK2,sK0)),
    inference(unit_resulting_resolution,[],[f9,f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ member(sK3(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f23,plain,
    member(sK3(difference(sK2,sK1),difference(sK2,sK0)),sK2),
    inference(unit_resulting_resolution,[],[f19,f10]) ).

fof(f10,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET009+3 : TPTP v8.2.0. Released v2.2.0.
% 0.11/0.13  % 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
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 13:33:22 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a FOF_THM_RFO_NEQ problem
% 0.13/0.34  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/benchmark/theBenchmark.p
% 0.47/0.71  % (23819)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)
% 0.47/0.71  % (23820)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)
% 0.47/0.71  % (23813)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)
% 0.47/0.71  % (23814)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)
% 0.47/0.71  % (23819)First to succeed.
% 0.47/0.71  % (23820)Also succeeded, but the first one will report.
% 0.47/0.71  % (23819)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23812"
% 0.47/0.71  % (23819)Refutation found. Thanks to Tanya!
% 0.47/0.71  % SZS status Theorem for theBenchmark
% 0.47/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 0.47/0.71  % (23819)------------------------------
% 0.47/0.71  % (23819)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.71  % (23819)Termination reason: Refutation
% 0.47/0.71  
% 0.47/0.71  % (23819)Memory used [KB]: 978
% 0.47/0.71  % (23819)Time elapsed: 0.002 s
% 0.47/0.71  % (23819)Instructions burned: 4 (million)
% 0.47/0.71  % (23812)Success in time 0.359 s
% 0.47/0.71  % Vampire---4.8 exiting
%------------------------------------------------------------------------------