TSTP Solution File: HWV089+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HWV089+1 : TPTP v8.1.2. Released v6.1.0.
% 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 : n004.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 02:39:09 EDT 2024

% Result   : Theorem 0.79s 1.02s
% Output   : Refutation 0.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   65 (  15 unt;   0 def)
%            Number of atoms       :  142 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  128 (  51   ~;  34   |;  15   &)
%                                         (  18 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   2 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   62 (  60   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6408,plain,
    $false,
    inference(resolution,[],[f6406,f6344]) ).

fof(f6344,plain,
    ~ v4(sK0),
    inference(cnf_transformation,[],[f6323]) ).

fof(f6323,plain,
    ~ v4(sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6314,f6322]) ).

fof(f6322,plain,
    ( ? [X0] : ~ v4(X0)
   => ~ v4(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f6314,plain,
    ? [X0] : ~ v4(X0),
    inference(ennf_transformation,[],[f6311]) ).

fof(f6311,plain,
    ~ ! [X0] : v4(X0),
    inference(pure_predicate_removal,[],[f6281]) ).

fof(f6281,plain,
    ~ ! [X0] :
        ( reachableState(X0)
       => v4(X0) ),
    inference(rectify,[],[f322]) ).

fof(f322,negated_conjecture,
    ~ ! [X1] :
        ( reachableState(X1)
       => v4(X1) ),
    inference(negated_conjecture,[],[f321]) ).

fof(f321,conjecture,
    ! [X1] :
      ( reachableState(X1)
     => v4(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.6OIRqE6cnp/Vampire---4.8_29309',addAssertion) ).

fof(f6406,plain,
    ! [X0] : v4(X0),
    inference(resolution,[],[f6404,f6345]) ).

fof(f6345,plain,
    ! [X0] :
      ( v3674(X0)
      | v4(X0) ),
    inference(cnf_transformation,[],[f6315]) ).

fof(f6315,plain,
    ! [X0] :
      ( v3674(X0)
      | v4(X0) ),
    inference(ennf_transformation,[],[f6305]) ).

fof(f6305,plain,
    ! [X0] :
      ( ~ v4(X0)
     => v3674(X0) ),
    inference(unused_predicate_definition_removal,[],[f6282]) ).

fof(f6282,plain,
    ! [X0] :
      ( ~ v4(X0)
    <=> v3674(X0) ),
    inference(rectify,[],[f323]) ).

fof(f323,axiom,
    ! [X1] :
      ( ~ v4(X1)
    <=> v3674(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.6OIRqE6cnp/Vampire---4.8_29309',writeUnaryOperator_347) ).

fof(f6404,plain,
    ! [X0] : ~ v3674(X0),
    inference(resolution,[],[f6401,f6346]) ).

fof(f6346,plain,
    ! [X0] :
      ( ~ v3675(X0)
      | ~ v3674(X0) ),
    inference(cnf_transformation,[],[f6316]) ).

fof(f6316,plain,
    ! [X0] :
      ( ~ v3674(X0)
      | ~ v3675(X0) ),
    inference(ennf_transformation,[],[f6306]) ).

fof(f6306,plain,
    ! [X0] :
      ( v3675(X0)
     => ~ v3674(X0) ),
    inference(unused_predicate_definition_removal,[],[f6283]) ).

fof(f6283,plain,
    ! [X0] :
      ( ~ v3674(X0)
    <=> v3675(X0) ),
    inference(rectify,[],[f324]) ).

fof(f324,axiom,
    ! [X1] :
      ( ~ v3674(X1)
    <=> v3675(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.6OIRqE6cnp/Vampire---4.8_29309',writeUnaryOperator_346) ).

fof(f6401,plain,
    ! [X0] : v3675(X0),
    inference(subsumption_resolution,[],[f6400,f6396]) ).

fof(f6396,plain,
    ! [X0] : ~ v3679(X0,bitIndex0),
    inference(resolution,[],[f6394,f6354]) ).

fof(f6354,plain,
    ! [X0] :
      ( v3680(X0)
      | ~ v3679(X0,bitIndex0) ),
    inference(cnf_transformation,[],[f6324]) ).

fof(f6324,plain,
    ! [X0] :
      ( ( v3679(X0,bitIndex0)
        | ~ v3680(X0) )
      & ( v3680(X0)
        | ~ v3679(X0,bitIndex0) ) ),
    inference(nnf_transformation,[],[f6290]) ).

fof(f6290,plain,
    ! [X0] :
      ( v3679(X0,bitIndex0)
    <=> v3680(X0) ),
    inference(rectify,[],[f329]) ).

fof(f329,axiom,
    ! [X1] :
      ( v3679(X1,bitIndex0)
    <=> v3680(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.6OIRqE6cnp/Vampire---4.8_29309',addAssignment_2619) ).

fof(f6394,plain,
    ! [X0] : ~ v3680(X0),
    inference(resolution,[],[f6357,f6362]) ).

fof(f6362,plain,
    ! [X0] : ~ v3684(X0,bitIndex5),
    inference(cnf_transformation,[],[f6293]) ).

fof(f6293,plain,
    ! [X0] : ~ v3684(X0,bitIndex5),
    inference(rectify,[],[f344]) ).

fof(f344,axiom,
    ! [X1] : ~ v3684(X1,bitIndex5),
    file('/export/starexec/sandbox2/tmp/tmp.6OIRqE6cnp/Vampire---4.8_29309',addZeroExtensionConstraint_5) ).

fof(f6357,plain,
    ! [X0] :
      ( v3684(X0,bitIndex5)
      | ~ v3680(X0) ),
    inference(cnf_transformation,[],[f6326]) ).

fof(f6326,plain,
    ! [X0] :
      ( ( v3680(X0)
        | ~ v3684(X0,bitIndex5)
        | ~ v3682(X0) )
      & ( ( v3684(X0,bitIndex5)
          & v3682(X0) )
        | ~ v3680(X0) ) ),
    inference(flattening,[],[f6325]) ).

fof(f6325,plain,
    ! [X0] :
      ( ( v3680(X0)
        | ~ v3684(X0,bitIndex5)
        | ~ v3682(X0) )
      & ( ( v3684(X0,bitIndex5)
          & v3682(X0) )
        | ~ v3680(X0) ) ),
    inference(nnf_transformation,[],[f6291]) ).

fof(f6291,plain,
    ! [X0] :
      ( v3680(X0)
    <=> ( v3684(X0,bitIndex5)
        & v3682(X0) ) ),
    inference(rectify,[],[f331]) ).

fof(f331,axiom,
    ! [X1] :
      ( v3680(X1)
    <=> ( v3684(X1,bitIndex5)
        & v3682(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.6OIRqE6cnp/Vampire---4.8_29309',writeBinaryOperatorShiftedRanges_553) ).

fof(f6400,plain,
    ! [X0] :
      ( v3675(X0)
      | v3679(X0,bitIndex0) ),
    inference(resolution,[],[f6399,f6392]) ).

fof(f6392,plain,
    ! [X0] :
      ( v3677(X0)
      | v3679(X0,bitIndex0) ),
    inference(resolution,[],[f6351,f6348]) ).

fof(f6348,plain,
    ! [X0] :
      ( v3678(X0)
      | v3677(X0) ),
    inference(cnf_transformation,[],[f6319]) ).

fof(f6319,plain,
    ! [X0] :
      ( v3678(X0)
      | v3677(X0) ),
    inference(ennf_transformation,[],[f6309]) ).

fof(f6309,plain,
    ! [X0] :
      ( ~ v3677(X0)
     => v3678(X0) ),
    inference(unused_predicate_definition_removal,[],[f6285]) ).

fof(f6285,plain,
    ! [X0] :
      ( ~ v3677(X0)
    <=> v3678(X0) ),
    inference(rectify,[],[f327]) ).

fof(f327,axiom,
    ! [X1] :
      ( ~ v3677(X1)
    <=> v3678(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.6OIRqE6cnp/Vampire---4.8_29309',writeUnaryOperator_345) ).

fof(f6351,plain,
    ! [X0] :
      ( ~ v3678(X0)
      | v3679(X0,bitIndex0) ),
    inference(cnf_transformation,[],[f6321]) ).

fof(f6321,plain,
    ! [X0] :
      ( ( v3679(X0,bitIndex1)
        & v3679(X0,bitIndex0) )
      | ~ v3678(X0) ),
    inference(ennf_transformation,[],[f6310]) ).

fof(f6310,plain,
    ! [X0] :
      ( v3678(X0)
     => ( v3679(X0,bitIndex1)
        & v3679(X0,bitIndex0) ) ),
    inference(unused_predicate_definition_removal,[],[f6287]) ).

fof(f6287,plain,
    ! [X0] :
      ( v3678(X0)
    <=> ( v3679(X0,bitIndex1)
        & v3679(X0,bitIndex0) ) ),
    inference(rectify,[],[f328]) ).

fof(f328,axiom,
    ! [X1] :
      ( v3678(X1)
    <=> ( v3679(X1,bitIndex1)
        & v3679(X1,bitIndex0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.6OIRqE6cnp/Vampire---4.8_29309',writeBinaryOperatorShiftedRanges_554) ).

fof(f6399,plain,
    ! [X0] :
      ( ~ v3677(X0)
      | v3675(X0) ),
    inference(subsumption_resolution,[],[f6398,f6353]) ).

fof(f6353,plain,
    ! [X0] : v3679(X0,bitIndex1),
    inference(cnf_transformation,[],[f6289]) ).

fof(f6289,plain,
    ! [X0] : v3679(X0,bitIndex1),
    inference(true_and_false_elimination,[],[f6288]) ).

fof(f6288,plain,
    ! [X0] :
      ( v3679(X0,bitIndex1)
    <=> $true ),
    inference(rectify,[],[f330]) ).

fof(f330,axiom,
    ! [X1] :
      ( v3679(X1,bitIndex1)
    <=> $true ),
    file('/export/starexec/sandbox2/tmp/tmp.6OIRqE6cnp/Vampire---4.8_29309',addAssignment_2618) ).

fof(f6398,plain,
    ! [X0] :
      ( v3675(X0)
      | ~ v3677(X0)
      | ~ v3679(X0,bitIndex1) ),
    inference(resolution,[],[f6347,f6350]) ).

fof(f6350,plain,
    ! [X0] :
      ( v3693(X0)
      | ~ v3679(X0,bitIndex1) ),
    inference(cnf_transformation,[],[f6320]) ).

fof(f6320,plain,
    ! [X0] :
      ( v3693(X0)
      | ( ~ v3679(X0,bitIndex1)
        & ~ v3679(X0,bitIndex0) ) ),
    inference(ennf_transformation,[],[f6308]) ).

fof(f6308,plain,
    ! [X0] :
      ( ( v3679(X0,bitIndex1)
        | v3679(X0,bitIndex0) )
     => v3693(X0) ),
    inference(unused_predicate_definition_removal,[],[f6286]) ).

fof(f6286,plain,
    ! [X0] :
      ( v3693(X0)
    <=> ( v3679(X0,bitIndex1)
        | v3679(X0,bitIndex0) ) ),
    inference(rectify,[],[f326]) ).

fof(f326,axiom,
    ! [X1] :
      ( v3693(X1)
    <=> ( v3679(X1,bitIndex1)
        | v3679(X1,bitIndex0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.6OIRqE6cnp/Vampire---4.8_29309',writeBinaryOperatorShiftedRanges_555) ).

fof(f6347,plain,
    ! [X0] :
      ( ~ v3693(X0)
      | v3675(X0)
      | ~ v3677(X0) ),
    inference(cnf_transformation,[],[f6318]) ).

fof(f6318,plain,
    ! [X0] :
      ( v3675(X0)
      | ~ v3693(X0)
      | ~ v3677(X0) ),
    inference(flattening,[],[f6317]) ).

fof(f6317,plain,
    ! [X0] :
      ( v3675(X0)
      | ~ v3693(X0)
      | ~ v3677(X0) ),
    inference(ennf_transformation,[],[f6307]) ).

fof(f6307,plain,
    ! [X0] :
      ( ( v3693(X0)
        & v3677(X0) )
     => v3675(X0) ),
    inference(unused_predicate_definition_removal,[],[f6284]) ).

fof(f6284,plain,
    ! [X0] :
      ( v3675(X0)
    <=> ( v3693(X0)
        & v3677(X0) ) ),
    inference(rectify,[],[f325]) ).

fof(f325,axiom,
    ! [X1] :
      ( v3675(X1)
    <=> ( v3693(X1)
        & v3677(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.6OIRqE6cnp/Vampire---4.8_29309',writeBinaryOperatorEqualRangesSingleBits_740) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.17  % Problem    : HWV089+1 : TPTP v8.1.2. Released v6.1.0.
% 0.12/0.18  % 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
% 0.12/0.39  % Computer : n004.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8042.1875MB
% 0.12/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.39  % CPULimit   : 300
% 0.12/0.39  % WCLimit    : 300
% 0.12/0.39  % DateTime   : Tue Apr 30 18:37:19 EDT 2024
% 0.12/0.39  % CPUTime    : 
% 0.12/0.39  This is a FOF_THM_EPR_SEQ problem
% 0.12/0.39  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.6OIRqE6cnp/Vampire---4.8_29309
% 0.70/1.00  % (29422)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 (2993ds/51Mi)
% 0.70/1.00  % (29421)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 (2993ds/34Mi)
% 0.70/1.00  % (29423)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2993ds/78Mi)
% 0.70/1.00  % (29424)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2993ds/33Mi)
% 0.70/1.00  % (29425)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 (2993ds/34Mi)
% 0.70/1.00  % (29426)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2993ds/45Mi)
% 0.70/1.00  % (29427)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 (2993ds/83Mi)
% 0.70/1.01  % (29428)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 (2993ds/56Mi)
% 0.70/1.02  % (29421)Instruction limit reached!
% 0.70/1.02  % (29421)------------------------------
% 0.70/1.02  % (29421)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/1.02  % (29421)Termination reason: Unknown
% 0.70/1.02  % (29421)Termination phase: SInE selection
% 0.70/1.02  
% 0.70/1.02  % (29421)Memory used [KB]: 5783
% 0.70/1.02  % (29421)Time elapsed: 0.016 s
% 0.70/1.02  % (29421)Instructions burned: 36 (million)
% 0.70/1.02  % (29421)------------------------------
% 0.70/1.02  % (29421)------------------------------
% 0.70/1.02  % (29428)Refutation not found, incomplete strategy% (29428)------------------------------
% 0.70/1.02  % (29428)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/1.02  % (29424)Refutation not found, incomplete strategy% (29424)------------------------------
% 0.70/1.02  % (29424)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/1.02  % (29424)Termination reason: Refutation not found, incomplete strategy
% 0.70/1.02  
% 0.70/1.02  % (29424)Memory used [KB]: 5898
% 0.70/1.02  % (29424)Time elapsed: 0.015 s
% 0.70/1.02  % (29424)Instructions burned: 31 (million)
% 0.70/1.02  % (29424)------------------------------
% 0.70/1.02  % (29424)------------------------------
% 0.70/1.02  % (29428)Termination reason: Refutation not found, incomplete strategy
% 0.70/1.02  
% 0.70/1.02  % (29428)Memory used [KB]: 5897
% 0.70/1.02  % (29428)Time elapsed: 0.015 s
% 0.70/1.02  % (29428)Instructions burned: 31 (million)
% 0.70/1.02  % (29428)------------------------------
% 0.70/1.02  % (29428)------------------------------
% 0.70/1.02  % (29425)Instruction limit reached!
% 0.70/1.02  % (29425)------------------------------
% 0.70/1.02  % (29425)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/1.02  % (29425)Termination reason: Unknown
% 0.70/1.02  % (29425)Termination phase: Preprocessing 1
% 0.70/1.02  
% 0.70/1.02  % (29425)Memory used [KB]: 6207
% 0.70/1.02  % (29425)Time elapsed: 0.016 s
% 0.70/1.02  % (29425)Instructions burned: 34 (million)
% 0.70/1.02  % (29425)------------------------------
% 0.70/1.02  % (29425)------------------------------
% 0.70/1.02  % (29423)First to succeed.
% 0.70/1.02  % (29426)Refutation not found, incomplete strategy% (29426)------------------------------
% 0.70/1.02  % (29426)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/1.02  % (29426)Termination reason: Refutation not found, incomplete strategy
% 0.70/1.02  
% 0.70/1.02  % (29426)Memory used [KB]: 5902
% 0.70/1.02  % (29426)Time elapsed: 0.016 s
% 0.70/1.02  % (29426)Instructions burned: 33 (million)
% 0.70/1.02  % (29426)------------------------------
% 0.70/1.02  % (29426)------------------------------
% 0.79/1.02  % (29430)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 (2993ds/50Mi)
% 0.79/1.02  % (29429)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 (2993ds/55Mi)
% 0.79/1.02  % (29423)Refutation found. Thanks to Tanya!
% 0.79/1.02  % SZS status Theorem for Vampire---4
% 0.79/1.02  % SZS output start Proof for Vampire---4
% See solution above
% 0.79/1.02  % (29423)------------------------------
% 0.79/1.02  % (29423)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.79/1.02  % (29423)Termination reason: Refutation
% 0.79/1.02  
% 0.79/1.02  % (29423)Memory used [KB]: 5920
% 0.79/1.02  % (29423)Time elapsed: 0.017 s
% 0.79/1.02  % (29423)Instructions burned: 32 (million)
% 0.79/1.02  % (29423)------------------------------
% 0.79/1.02  % (29423)------------------------------
% 0.79/1.02  % (29417)Success in time 0.613 s
% 0.79/1.03  % Vampire---4.8 exiting
%------------------------------------------------------------------------------