TSTP Solution File: SEU275+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU275+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 : n010.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 : Wed May  1 03:51:23 EDT 2024

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (  14 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   42 (  15   ~;  11   |;   9   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   20 (  19   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(subsumption_resolution,[],[f33,f32]) ).

fof(f32,plain,
    connected(inclusion_relation(sK0)),
    inference(unit_resulting_resolution,[],[f17,f29]) ).

fof(f29,plain,
    ! [X0] :
      ( connected(inclusion_relation(X0))
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0] :
      ( connected(inclusion_relation(X0))
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ordinal(X0)
     => connected(inclusion_relation(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.y8c5ZV92Hr/Vampire---4.8_14289',t4_wellord2) ).

fof(f17,plain,
    ordinal(sK0),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ? [X0] :
      ( ~ well_ordering(inclusion_relation(X0))
      & ordinal(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,negated_conjecture,
    ~ ! [X0] :
        ( ordinal(X0)
       => well_ordering(inclusion_relation(X0)) ),
    inference(negated_conjecture,[],[f11]) ).

fof(f11,conjecture,
    ! [X0] :
      ( ordinal(X0)
     => well_ordering(inclusion_relation(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.y8c5ZV92Hr/Vampire---4.8_14289',t7_wellord2) ).

fof(f33,plain,
    ~ connected(inclusion_relation(sK0)),
    inference(unit_resulting_resolution,[],[f18,f25,f28,f27,f26,f31,f24]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ well_founded_relation(X0)
      | ~ reflexive(X0)
      | ~ transitive(X0)
      | ~ antisymmetric(X0)
      | ~ connected(X0)
      | ~ relation(X0)
      | well_ordering(X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0] :
      ( ( well_ordering(X0)
      <=> ( well_founded_relation(X0)
          & connected(X0)
          & antisymmetric(X0)
          & transitive(X0)
          & reflexive(X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( relation(X0)
     => ( well_ordering(X0)
      <=> ( well_founded_relation(X0)
          & connected(X0)
          & antisymmetric(X0)
          & transitive(X0)
          & reflexive(X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.y8c5ZV92Hr/Vampire---4.8_14289',d4_wellord1) ).

fof(f31,plain,
    well_founded_relation(inclusion_relation(sK0)),
    inference(unit_resulting_resolution,[],[f17,f30]) ).

fof(f30,plain,
    ! [X0] :
      ( well_founded_relation(inclusion_relation(X0))
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0] :
      ( well_founded_relation(inclusion_relation(X0))
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ordinal(X0)
     => well_founded_relation(inclusion_relation(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.y8c5ZV92Hr/Vampire---4.8_14289',t6_wellord2) ).

fof(f26,plain,
    ! [X0] : reflexive(inclusion_relation(X0)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : reflexive(inclusion_relation(X0)),
    file('/export/starexec/sandbox/tmp/tmp.y8c5ZV92Hr/Vampire---4.8_14289',t2_wellord2) ).

fof(f27,plain,
    ! [X0] : transitive(inclusion_relation(X0)),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] : transitive(inclusion_relation(X0)),
    file('/export/starexec/sandbox/tmp/tmp.y8c5ZV92Hr/Vampire---4.8_14289',t3_wellord2) ).

fof(f28,plain,
    ! [X0] : antisymmetric(inclusion_relation(X0)),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] : antisymmetric(inclusion_relation(X0)),
    file('/export/starexec/sandbox/tmp/tmp.y8c5ZV92Hr/Vampire---4.8_14289',t5_wellord2) ).

fof(f25,plain,
    ! [X0] : relation(inclusion_relation(X0)),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : relation(inclusion_relation(X0)),
    file('/export/starexec/sandbox/tmp/tmp.y8c5ZV92Hr/Vampire---4.8_14289',dt_k1_wellord2) ).

fof(f18,plain,
    ~ well_ordering(inclusion_relation(sK0)),
    inference(cnf_transformation,[],[f13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU275+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
% 0.15/0.36  % Computer : n010.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 15:56:49 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36  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.y8c5ZV92Hr/Vampire---4.8_14289
% 0.55/0.75  % (14551)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)
% 0.55/0.75  % (14551)First to succeed.
% 0.55/0.75  % (14548)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)
% 0.55/0.75  % (14546)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)
% 0.55/0.75  % (14547)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (14549)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)
% 0.55/0.75  % (14550)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)
% 0.55/0.75  % (14548)Refutation not found, incomplete strategy% (14548)------------------------------
% 0.55/0.75  % (14548)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (14548)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (14548)Memory used [KB]: 944
% 0.55/0.75  % (14548)Time elapsed: 0.002 s
% 0.55/0.75  % (14548)Instructions burned: 2 (million)
% 0.55/0.75  % (14548)------------------------------
% 0.55/0.75  % (14548)------------------------------
% 0.55/0.75  % (14551)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Theorem for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (14551)------------------------------
% 0.55/0.75  % (14551)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (14551)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (14551)Memory used [KB]: 962
% 0.55/0.75  % (14551)Time elapsed: 0.002 s
% 0.55/0.75  % (14551)Instructions burned: 3 (million)
% 0.55/0.75  % (14551)------------------------------
% 0.55/0.75  % (14551)------------------------------
% 0.55/0.75  % (14541)Success in time 0.379 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------