TSTP Solution File: SET594+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET594+3 : TPTP v8.1.2. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n022.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 03:48:11 EDT 2024

% Result   : Theorem 0.65s 0.84s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (   9 unt;   0 def)
%            Number of atoms       :   46 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  15   ~;  13   |;   2   &)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   40 (  37   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f818,plain,
    $false,
    inference(subsumption_resolution,[],[f810,f63]) ).

fof(f63,plain,
    ! [X0] : ~ member(sK4(sK0,union(sK1,sK2)),intersection(X0,sK1)),
    inference(unit_resulting_resolution,[],[f50,f32]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,intersection(X0,X1))
      | member(X2,X1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1,X2] :
      ( member(X2,intersection(X0,X1))
    <=> ( member(X2,X1)
        & member(X2,X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DTLlKg9wQV/Vampire---4.8_30075',intersection_defn) ).

fof(f50,plain,
    ~ member(sK4(sK0,union(sK1,sK2)),sK1),
    inference(unit_resulting_resolution,[],[f39,f24]) ).

fof(f24,plain,
    ! [X2,X0,X1] :
      ( member(X2,union(X0,X1))
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( member(X2,union(X0,X1))
    <=> ( member(X2,X1)
        | member(X2,X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DTLlKg9wQV/Vampire---4.8_30075',union_defn) ).

fof(f39,plain,
    ~ member(sK4(sK0,union(sK1,sK2)),union(sK1,sK2)),
    inference(unit_resulting_resolution,[],[f14,f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ member(sK4(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DTLlKg9wQV/Vampire---4.8_30075',subset_defn) ).

fof(f14,plain,
    ~ subset(sK0,union(sK1,sK2)),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ? [X0,X1,X2] :
      ( ~ subset(X0,union(X1,X2))
      & union(intersection(X0,X1),intersection(X0,X2)) = X0 ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( union(intersection(X0,X1),intersection(X0,X2)) = X0
       => subset(X0,union(X1,X2)) ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X0,X1,X2] :
      ( union(intersection(X0,X1),intersection(X0,X2)) = X0
     => subset(X0,union(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.DTLlKg9wQV/Vampire---4.8_30075',prove_th53) ).

fof(f810,plain,
    member(sK4(sK0,union(sK1,sK2)),intersection(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f51,f38,f138]) ).

fof(f138,plain,
    ! [X0] :
      ( member(X0,intersection(sK0,sK1))
      | ~ member(X0,sK0)
      | member(X0,sK2) ),
    inference(resolution,[],[f40,f32]) ).

fof(f40,plain,
    ! [X0] :
      ( member(X0,intersection(sK0,sK2))
      | ~ member(X0,sK0)
      | member(X0,intersection(sK0,sK1)) ),
    inference(superposition,[],[f23,f13]) ).

fof(f13,plain,
    sK0 = union(intersection(sK0,sK1),intersection(sK0,sK2)),
    inference(cnf_transformation,[],[f11]) ).

fof(f23,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,union(X0,X1))
      | member(X2,X1)
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f38,plain,
    member(sK4(sK0,union(sK1,sK2)),sK0),
    inference(unit_resulting_resolution,[],[f14,f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( member(sK4(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f51,plain,
    ~ member(sK4(sK0,union(sK1,sK2)),sK2),
    inference(unit_resulting_resolution,[],[f39,f25]) ).

fof(f25,plain,
    ! [X2,X0,X1] :
      ( member(X2,union(X0,X1))
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SET594+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.13  % 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
% 0.11/0.33  % Computer : n022.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Apr 30 17:08:58 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.33  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/tmp/tmp.DTLlKg9wQV/Vampire---4.8_30075
% 0.65/0.82  % (30193)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.65/0.82  % (30191)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.82  % (30194)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 (2995ds/34Mi)
% 0.65/0.82  % (30190)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 (2995ds/51Mi)
% 0.65/0.82  % (30189)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 (2995ds/34Mi)
% 0.65/0.82  % (30195)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.65/0.82  % (30196)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 (2995ds/83Mi)
% 0.65/0.82  % (30197)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 (2995ds/56Mi)
% 0.65/0.82  % (30194)Refutation not found, incomplete strategy% (30194)------------------------------
% 0.65/0.82  % (30194)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82  % (30194)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (30194)Memory used [KB]: 970
% 0.65/0.82  % (30194)Time elapsed: 0.003 s
% 0.65/0.82  % (30194)Instructions burned: 3 (million)
% 0.65/0.82  % (30194)------------------------------
% 0.65/0.82  % (30194)------------------------------
% 0.65/0.82  % (30197)Refutation not found, incomplete strategy% (30197)------------------------------
% 0.65/0.82  % (30197)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82  % (30197)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (30197)Memory used [KB]: 969
% 0.65/0.82  % (30197)Time elapsed: 0.003 s
% 0.65/0.82  % (30197)Instructions burned: 3 (million)
% 0.65/0.82  % (30197)------------------------------
% 0.65/0.82  % (30197)------------------------------
% 0.65/0.82  % (30195)Refutation not found, incomplete strategy% (30195)------------------------------
% 0.65/0.82  % (30195)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82  % (30195)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (30195)Memory used [KB]: 1039
% 0.65/0.82  % (30195)Time elapsed: 0.004 s
% 0.65/0.82  % (30195)Instructions burned: 4 (million)
% 0.65/0.82  % (30195)------------------------------
% 0.65/0.82  % (30195)------------------------------
% 0.65/0.83  % (30198)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 (2995ds/55Mi)
% 0.65/0.83  % (30199)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 (2995ds/50Mi)
% 0.65/0.83  % (30200)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 (2995ds/208Mi)
% 0.65/0.84  % (30196)First to succeed.
% 0.65/0.84  % (30193)Instruction limit reached!
% 0.65/0.84  % (30193)------------------------------
% 0.65/0.84  % (30193)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.84  % (30193)Termination reason: Unknown
% 0.65/0.84  % (30193)Termination phase: Saturation
% 0.65/0.84  
% 0.65/0.84  % (30193)Memory used [KB]: 1408
% 0.65/0.84  % (30193)Time elapsed: 0.019 s
% 0.65/0.84  % (30193)Instructions burned: 33 (million)
% 0.65/0.84  % (30193)------------------------------
% 0.65/0.84  % (30193)------------------------------
% 0.65/0.84  % (30189)Instruction limit reached!
% 0.65/0.84  % (30189)------------------------------
% 0.65/0.84  % (30189)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.84  % (30189)Termination reason: Unknown
% 0.65/0.84  % (30189)Termination phase: Saturation
% 0.65/0.84  
% 0.65/0.84  % (30189)Memory used [KB]: 1166
% 0.65/0.84  % (30189)Time elapsed: 0.020 s
% 0.65/0.84  % (30189)Instructions burned: 35 (million)
% 0.65/0.84  % (30189)------------------------------
% 0.65/0.84  % (30189)------------------------------
% 0.65/0.84  % (30196)Refutation found. Thanks to Tanya!
% 0.65/0.84  % SZS status Theorem for Vampire---4
% 0.65/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.84  % (30196)------------------------------
% 0.65/0.84  % (30196)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.84  % (30196)Termination reason: Refutation
% 0.65/0.84  
% 0.65/0.84  % (30196)Memory used [KB]: 1207
% 0.65/0.84  % (30196)Time elapsed: 0.019 s
% 0.65/0.84  % (30196)Instructions burned: 33 (million)
% 0.65/0.84  % (30196)------------------------------
% 0.65/0.84  % (30196)------------------------------
% 0.65/0.84  % (30184)Success in time 0.499 s
% 0.65/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------