TSTP Solution File: SWV372+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV372+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 : n032.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 04:03:42 EDT 2024

% Result   : Theorem 0.45s 0.61s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   55 (  12 unt;   0 def)
%            Number of atoms       :  109 (  27 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   94 (  40   ~;  35   |;   5   &)
%                                         (   7 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   12 (  10 usr;   4 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   84 (  80   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f454,plain,
    $false,
    inference(avatar_sat_refutation,[],[f158,f186,f199,f453]) ).

fof(f453,plain,
    ~ spl4_3,
    inference(avatar_contradiction_clause,[],[f452]) ).

fof(f452,plain,
    ( $false
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f442,f146]) ).

fof(f146,plain,
    check_cpq(sK3(findmin_cpq_eff(triple(sK0,sK1,sK2)))),
    inference(unit_resulting_resolution,[],[f101,f113]) ).

fof(f113,plain,
    ! [X0] :
      ( check_cpq(sK3(X0))
      | ~ phi(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    ! [X0] :
      ( phi(X0)
    <=> ? [X1] :
          ( check_cpq(X1)
          & ok(X1)
          & succ_cpq(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.rxYJsFiCjX/Vampire---4.8_8943',ax62) ).

fof(f101,plain,
    phi(findmin_cpq_eff(triple(sK0,sK1,sK2))),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ? [X0,X1,X2] :
      ( ~ contains_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
      & phi(findmin_cpq_eff(triple(X0,X1,X2))) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( phi(findmin_cpq_eff(triple(X0,X1,X2)))
       => contains_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
    inference(negated_conjecture,[],[f66]) ).

fof(f66,conjecture,
    ! [X0,X1,X2] :
      ( phi(findmin_cpq_eff(triple(X0,X1,X2)))
     => contains_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
    file('/export/starexec/sandbox/tmp/tmp.rxYJsFiCjX/Vampire---4.8_8943',l8_co) ).

fof(f442,plain,
    ( ~ check_cpq(sK3(findmin_cpq_eff(triple(sK0,sK1,sK2))))
    | ~ spl4_3 ),
    inference(unit_resulting_resolution,[],[f145,f144,f402,f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ succ_cpq(X0,X1)
      | ~ ok(X1)
      | ~ check_cpq(X1)
      | phi(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f402,plain,
    ( ! [X0] : ~ phi(findmin_cpq_eff(triple(sK0,sK1,X0)))
    | ~ spl4_3 ),
    inference(superposition,[],[f147,f185]) ).

fof(f185,plain,
    ( ! [X0] : findmin_cpq_eff(triple(sK0,sK1,X0)) = triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f184,plain,
    ( spl4_3
  <=> ! [X0] : findmin_cpq_eff(triple(sK0,sK1,X0)) = triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f147,plain,
    ! [X0,X1] : ~ phi(triple(X0,X1,bad)),
    inference(unit_resulting_resolution,[],[f107,f100]) ).

fof(f100,plain,
    ! [X2,X0,X1] :
      ( ~ phi(triple(X0,X1,X2))
      | ok(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( ~ phi(triple(X0,X1,X2))
      | ok(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,axiom,
    ! [X0,X1,X2] :
      ( ~ ok(triple(X0,X1,X2))
     => ~ phi(triple(X0,X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.rxYJsFiCjX/Vampire---4.8_8943',l8_lX) ).

fof(f107,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    ! [X0,X1] :
      ( ok(triple(X0,X1,bad))
    <=> $false ),
    file('/export/starexec/sandbox/tmp/tmp.rxYJsFiCjX/Vampire---4.8_8943',ax40) ).

fof(f144,plain,
    succ_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)),sK3(findmin_cpq_eff(triple(sK0,sK1,sK2)))),
    inference(unit_resulting_resolution,[],[f101,f111]) ).

fof(f111,plain,
    ! [X0] :
      ( succ_cpq(X0,sK3(X0))
      | ~ phi(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f145,plain,
    ok(sK3(findmin_cpq_eff(triple(sK0,sK1,sK2)))),
    inference(unit_resulting_resolution,[],[f101,f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ok(sK3(X0))
      | ~ phi(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f199,plain,
    ~ spl4_1,
    inference(avatar_contradiction_clause,[],[f198]) ).

fof(f198,plain,
    ( $false
    | ~ spl4_1 ),
    inference(subsumption_resolution,[],[f197,f147]) ).

fof(f197,plain,
    ( phi(triple(sK0,create_slb,bad))
    | ~ spl4_1 ),
    inference(forward_demodulation,[],[f187,f108]) ).

fof(f108,plain,
    ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,axiom,
    ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
    file('/export/starexec/sandbox/tmp/tmp.rxYJsFiCjX/Vampire---4.8_8943',ax46) ).

fof(f187,plain,
    ( phi(findmin_cpq_eff(triple(sK0,create_slb,sK2)))
    | ~ spl4_1 ),
    inference(superposition,[],[f101,f153]) ).

fof(f153,plain,
    ( create_slb = sK1
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f151,plain,
    ( spl4_1
  <=> create_slb = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f186,plain,
    ( spl4_3
    | spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f181,f155,f151,f184]) ).

fof(f155,plain,
    ( spl4_2
  <=> contains_pq(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f181,plain,
    ( ! [X0] :
        ( create_slb = sK1
        | findmin_cpq_eff(triple(sK0,sK1,X0)) = triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad) )
    | spl4_2 ),
    inference(resolution,[],[f176,f128]) ).

fof(f128,plain,
    ! [X2,X0,X1] :
      ( contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1 ),
    inference(flattening,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1 ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( ( ~ contains_slb(X1,findmin_pqp_res(X0))
        & create_slb != X1 )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(rectify,[],[f47]) ).

fof(f47,axiom,
    ! [X0,X1,X2,X3] :
      ( ( ~ contains_slb(X1,findmin_pqp_res(X0))
        & create_slb != X1 )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    file('/export/starexec/sandbox/tmp/tmp.rxYJsFiCjX/Vampire---4.8_8943',ax47) ).

fof(f176,plain,
    ( ~ contains_slb(sK1,findmin_pqp_res(sK0))
    | spl4_2 ),
    inference(unit_resulting_resolution,[],[f170,f103]) ).

fof(f103,plain,
    ! [X2,X3,X0,X1] :
      ( contains_cpq(triple(X0,X1,X2),X3)
      | ~ contains_slb(X1,X3) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ! [X0,X1,X2,X3] :
      ( contains_cpq(triple(X0,X1,X2),X3)
    <=> contains_slb(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.rxYJsFiCjX/Vampire---4.8_8943',ax39) ).

fof(f170,plain,
    ( ~ contains_cpq(triple(sK0,sK1,sK2),findmin_pqp_res(sK0))
    | spl4_2 ),
    inference(unit_resulting_resolution,[],[f157,f98]) ).

fof(f98,plain,
    ! [X2,X3,X0,X1] :
      ( contains_pq(i(triple(X0,X1,X2)),X3)
      | ~ contains_cpq(triple(X0,X1,X2),X3) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,axiom,
    ! [X0,X1,X2,X3] :
      ( contains_cpq(triple(X0,X1,X2),X3)
    <=> contains_pq(i(triple(X0,X1,X2)),X3) ),
    file('/export/starexec/sandbox/tmp/tmp.rxYJsFiCjX/Vampire---4.8_8943',l8_li56) ).

fof(f157,plain,
    ( ~ contains_pq(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0))
    | spl4_2 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f158,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f149,f155,f151]) ).

fof(f149,plain,
    ( ~ contains_pq(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0))
    | create_slb = sK1 ),
    inference(superposition,[],[f102,f110]) ).

fof(f110,plain,
    ! [X2,X0,X1] :
      ( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
      | create_slb = X1 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
      | create_slb = X1 ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( create_slb != X1
     => findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
    inference(rectify,[],[f51]) ).

fof(f51,axiom,
    ! [X0,X1,X2,X3] :
      ( create_slb != X1
     => findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.rxYJsFiCjX/Vampire---4.8_8943',ax51) ).

fof(f102,plain,
    ~ contains_pq(i(triple(sK0,sK1,sK2)),findmin_cpq_res(triple(sK0,sK1,sK2))),
    inference(cnf_transformation,[],[f75]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWV372+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.11  % 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
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Apr 30 18:35:51 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.30  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.rxYJsFiCjX/Vampire---4.8_8943
% 0.43/0.60  % (9206)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 (2997ds/83Mi)
% 0.45/0.60  % (9200)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 (2997ds/34Mi)
% 0.45/0.60  % (9202)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.45/0.60  % (9204)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 (2997ds/34Mi)
% 0.45/0.60  % (9203)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.45/0.60  % (9205)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.45/0.61  % (9201)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 (2997ds/51Mi)
% 0.45/0.61  % (9200)Refutation not found, incomplete strategy% (9200)------------------------------
% 0.45/0.61  % (9200)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.45/0.61  % (9200)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.61  
% 0.45/0.61  % (9200)Memory used [KB]: 1114
% 0.45/0.61  % (9200)Time elapsed: 0.004 s
% 0.45/0.61  % (9200)Instructions burned: 4 (million)
% 0.45/0.61  % (9200)------------------------------
% 0.45/0.61  % (9200)------------------------------
% 0.45/0.61  % (9203)Refutation not found, incomplete strategy% (9203)------------------------------
% 0.45/0.61  % (9203)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.45/0.61  % (9203)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.61  
% 0.45/0.61  % (9203)Memory used [KB]: 1097
% 0.45/0.61  % (9203)Time elapsed: 0.004 s
% 0.45/0.61  % (9203)Instructions burned: 4 (million)
% 0.45/0.61  % (9203)------------------------------
% 0.45/0.61  % (9203)------------------------------
% 0.45/0.61  % (9204)Refutation not found, incomplete strategy% (9204)------------------------------
% 0.45/0.61  % (9204)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.45/0.61  % (9204)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.61  
% 0.45/0.61  % (9204)Memory used [KB]: 1124
% 0.45/0.61  % (9204)Time elapsed: 0.005 s
% 0.45/0.61  % (9204)Instructions burned: 6 (million)
% 0.45/0.61  % (9204)------------------------------
% 0.45/0.61  % (9204)------------------------------
% 0.45/0.61  % (9207)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 (2997ds/56Mi)
% 0.45/0.61  % (9206)First to succeed.
% 0.45/0.61  % (9207)Refutation not found, incomplete strategy% (9207)------------------------------
% 0.45/0.61  % (9207)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.45/0.61  % (9207)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.61  
% 0.45/0.61  % (9207)Memory used [KB]: 1083
% 0.45/0.61  % (9207)Time elapsed: 0.004 s
% 0.45/0.61  % (9207)Instructions burned: 3 (million)
% 0.45/0.61  % (9207)------------------------------
% 0.45/0.61  % (9207)------------------------------
% 0.45/0.61  % (9206)Refutation found. Thanks to Tanya!
% 0.45/0.61  % SZS status Theorem for Vampire---4
% 0.45/0.61  % SZS output start Proof for Vampire---4
% See solution above
% 0.45/0.61  % (9206)------------------------------
% 0.45/0.61  % (9206)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.45/0.61  % (9206)Termination reason: Refutation
% 0.45/0.61  
% 0.45/0.61  % (9206)Memory used [KB]: 1244
% 0.45/0.61  % (9206)Time elapsed: 0.008 s
% 0.45/0.61  % (9206)Instructions burned: 21 (million)
% 0.45/0.61  % (9206)------------------------------
% 0.45/0.61  % (9206)------------------------------
% 0.45/0.61  % (9196)Success in time 0.303 s
% 0.45/0.61  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.45/0.61  9196 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.rxYJsFiCjX/Vampire---4.8_8943
% 0.45/0.61  % (9196)------------------------------
% 0.45/0.61  % (9196)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.45/0.61  % (9196)Termination reason: Unknown
% 0.45/0.61  % (9196)Termination phase: Unknown
% 0.45/0.61  
% 0.45/0.61  % (9196)Memory used [KB]: 516
% 0.45/0.61  % (9196)Time elapsed: 0.304 s
% 0.45/0.61  % (9196)Instructions burned: 958 (million)
% 0.45/0.61  % (9196)------------------------------
% 0.45/0.61  % (9196)------------------------------
% 0.45/0.61  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.45/0.61  ???
% 0.45/0.61   ???
% 0.45/0.61    ???
% 0.45/0.61     ???
% 0.45/0.61      ???
% 0.45/0.61       ???
% 0.45/0.61        ???
% 0.45/0.61         ???
% 0.45/0.61          ???
% 0.45/0.61           ???
% 0.45/0.61            ???
% 0.45/0.61             ???
% 0.45/0.61              ???
% 0.45/0.61               ???
% 0.45/0.61                ???
% 0.45/0.61                 ???
% 0.45/0.61                  ???
% 0.45/0.61                   ???
% 0.45/0.61                    ???
% 0.45/0.61                     ???
% 0.45/0.61  % Vampire---4.8 exiting
%------------------------------------------------------------------------------