TSTP Solution File: HWV094+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : HWV094+1 : TPTP v8.2.0. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n025.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 14 08:49:54 EDT 2024

% Result   : Theorem 197.53s 31.06s
% Output   : Refutation 197.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   62 (  13 unt;   0 def)
%            Number of atoms       :  139 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  124 (  47   ~;  30   |;  19   &)
%                                         (  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   :   57 (  55   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1406770,plain,
    $false,
    inference(unit_resulting_resolution,[],[f1108963,f970747,f1117512,f678557]) ).

fof(f678557,plain,
    ! [X0] :
      ( ~ v133789(X0)
      | v133775(X0)
      | ~ v133777(X0) ),
    inference(cnf_transformation,[],[f305159]) ).

fof(f305159,plain,
    ! [X0] :
      ( v133775(X0)
      | ~ v133789(X0)
      | ~ v133777(X0) ),
    inference(flattening,[],[f305158]) ).

fof(f305158,plain,
    ! [X0] :
      ( v133775(X0)
      | ~ v133789(X0)
      | ~ v133777(X0) ),
    inference(ennf_transformation,[],[f278762]) ).

fof(f278762,plain,
    ! [X0] :
      ( ( v133789(X0)
        & v133777(X0) )
     => v133775(X0) ),
    inference(unused_predicate_definition_removal,[],[f182909]) ).

fof(f182909,plain,
    ! [X0] :
      ( v133775(X0)
    <=> ( v133789(X0)
        & v133777(X0) ) ),
    inference(rectify,[],[f619]) ).

fof(f619,axiom,
    ! [X1] :
      ( v133775(X1)
    <=> ( v133789(X1)
        & v133777(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorEqualRangesSingleBits_26827) ).

fof(f1117512,plain,
    ! [X0] : v133789(X0),
    inference(unit_resulting_resolution,[],[f836840,f770892]) ).

fof(f770892,plain,
    ! [X0] :
      ( ~ v133779(X0,bitIndex1)
      | v133789(X0) ),
    inference(cnf_transformation,[],[f305161]) ).

fof(f305161,plain,
    ! [X0] :
      ( v133789(X0)
      | ( ~ v133779(X0,bitIndex1)
        & ~ v133779(X0,bitIndex0) ) ),
    inference(ennf_transformation,[],[f278763]) ).

fof(f278763,plain,
    ! [X0] :
      ( ( v133779(X0,bitIndex1)
        | v133779(X0,bitIndex0) )
     => v133789(X0) ),
    inference(unused_predicate_definition_removal,[],[f208520]) ).

fof(f208520,plain,
    ! [X0] :
      ( v133789(X0)
    <=> ( v133779(X0,bitIndex1)
        | v133779(X0,bitIndex0) ) ),
    inference(rectify,[],[f620]) ).

fof(f620,axiom,
    ! [X1] :
      ( v133789(X1)
    <=> ( v133779(X1,bitIndex1)
        | v133779(X1,bitIndex0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_3137) ).

fof(f836840,plain,
    ! [X0] : v133779(X0,bitIndex1),
    inference(cnf_transformation,[],[f252281]) ).

fof(f252281,plain,
    ! [X0] : v133779(X0,bitIndex1),
    inference(true_and_false_elimination,[],[f252280]) ).

fof(f252280,plain,
    ! [X0] :
      ( v133779(X0,bitIndex1)
    <=> $true ),
    inference(rectify,[],[f624]) ).

fof(f624,axiom,
    ! [X1] :
      ( v133779(X1,bitIndex1)
    <=> $true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_43638) ).

fof(f970747,plain,
    ~ v133775(sK35432),
    inference(unit_resulting_resolution,[],[f970746,f645594]) ).

fof(f645594,plain,
    ! [X0] :
      ( ~ v133775(X0)
      | ~ v133774(X0) ),
    inference(cnf_transformation,[],[f305155]) ).

fof(f305155,plain,
    ! [X0] :
      ( ~ v133774(X0)
      | ~ v133775(X0) ),
    inference(ennf_transformation,[],[f278761]) ).

fof(f278761,plain,
    ! [X0] :
      ( v133775(X0)
     => ~ v133774(X0) ),
    inference(unused_predicate_definition_removal,[],[f167099]) ).

fof(f167099,plain,
    ! [X0] :
      ( ~ v133774(X0)
    <=> v133775(X0) ),
    inference(rectify,[],[f618]) ).

fof(f618,axiom,
    ! [X1] :
      ( ~ v133774(X1)
    <=> v133775(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_11137) ).

fof(f970746,plain,
    v133774(sK35432),
    inference(unit_resulting_resolution,[],[f549846,f662234]) ).

fof(f662234,plain,
    ! [X0] :
      ( v133774(X0)
      | v4(X0) ),
    inference(cnf_transformation,[],[f305157]) ).

fof(f305157,plain,
    ! [X0] :
      ( v133774(X0)
      | v4(X0) ),
    inference(ennf_transformation,[],[f278760]) ).

fof(f278760,plain,
    ! [X0] :
      ( ~ v4(X0)
     => v133774(X0) ),
    inference(unused_predicate_definition_removal,[],[f175420]) ).

fof(f175420,plain,
    ! [X0] :
      ( ~ v4(X0)
    <=> v133774(X0) ),
    inference(rectify,[],[f617]) ).

fof(f617,axiom,
    ! [X1] :
      ( ~ v4(X1)
    <=> v133774(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_11138) ).

fof(f549846,plain,
    ~ v4(sK35432),
    inference(cnf_transformation,[],[f367456]) ).

fof(f367456,plain,
    ( ~ v4(sK35432)
    & reachableState(sK35432) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK35432])],[f280094,f367455]) ).

fof(f367455,plain,
    ( ? [X0] :
        ( ~ v4(X0)
        & reachableState(X0) )
   => ( ~ v4(sK35432)
      & reachableState(sK35432) ) ),
    introduced(choice_axiom,[]) ).

fof(f280094,plain,
    ? [X0] :
      ( ~ v4(X0)
      & reachableState(X0) ),
    inference(ennf_transformation,[],[f134643]) ).

fof(f134643,plain,
    ~ ! [X0] :
        ( reachableState(X0)
       => v4(X0) ),
    inference(rectify,[],[f616]) ).

fof(f616,negated_conjecture,
    ~ ! [X1] :
        ( reachableState(X1)
       => v4(X1) ),
    inference(negated_conjecture,[],[f615]) ).

fof(f615,conjecture,
    ! [X1] :
      ( reachableState(X1)
     => v4(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssertion) ).

fof(f1108963,plain,
    ! [X0] : v133777(X0),
    inference(subsumption_resolution,[],[f1108962,f960973]) ).

fof(f960973,plain,
    ! [X0] : ~ v133779(X0,bitIndex0),
    inference(subsumption_resolution,[],[f836841,f960912]) ).

fof(f960912,plain,
    ! [X0] : ~ v133780(X0),
    inference(subsumption_resolution,[],[f688120,f562263]) ).

fof(f562263,plain,
    ! [X0] : ~ v133786(X0,bitIndex5),
    inference(cnf_transformation,[],[f134736]) ).

fof(f134736,plain,
    ! [X0] : ~ v133786(X0,bitIndex5),
    inference(rectify,[],[f633]) ).

fof(f633,axiom,
    ! [X1] : ~ v133786(X1,bitIndex5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addZeroExtensionConstraint_15) ).

fof(f688120,plain,
    ! [X0] :
      ( v133786(X0,bitIndex5)
      | ~ v133780(X0) ),
    inference(cnf_transformation,[],[f420487]) ).

fof(f420487,plain,
    ! [X0] :
      ( ( v133780(X0)
        | ~ v133786(X0,bitIndex5)
        | ~ v133782(X0) )
      & ( ( v133786(X0,bitIndex5)
          & v133782(X0) )
        | ~ v133780(X0) ) ),
    inference(flattening,[],[f420486]) ).

fof(f420486,plain,
    ! [X0] :
      ( ( v133780(X0)
        | ~ v133786(X0,bitIndex5)
        | ~ v133782(X0) )
      & ( ( v133786(X0,bitIndex5)
          & v133782(X0) )
        | ~ v133780(X0) ) ),
    inference(nnf_transformation,[],[f186097]) ).

fof(f186097,plain,
    ! [X0] :
      ( v133780(X0)
    <=> ( v133786(X0,bitIndex5)
        & v133782(X0) ) ),
    inference(rectify,[],[f625]) ).

fof(f625,axiom,
    ! [X1] :
      ( v133780(X1)
    <=> ( v133786(X1,bitIndex5)
        & v133782(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_3135) ).

fof(f836841,plain,
    ! [X0] :
      ( v133780(X0)
      | ~ v133779(X0,bitIndex0) ),
    inference(cnf_transformation,[],[f486693]) ).

fof(f486693,plain,
    ! [X0] :
      ( ( v133779(X0,bitIndex0)
        | ~ v133780(X0) )
      & ( v133780(X0)
        | ~ v133779(X0,bitIndex0) ) ),
    inference(nnf_transformation,[],[f252282]) ).

fof(f252282,plain,
    ! [X0] :
      ( v133779(X0,bitIndex0)
    <=> v133780(X0) ),
    inference(rectify,[],[f623]) ).

fof(f623,axiom,
    ! [X1] :
      ( v133779(X1,bitIndex0)
    <=> v133780(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_43639) ).

fof(f1108962,plain,
    ! [X0] :
      ( v133779(X0,bitIndex0)
      | v133777(X0) ),
    inference(resolution,[],[f700854,f645611]) ).

fof(f645611,plain,
    ! [X0] :
      ( v133778(X0)
      | v133777(X0) ),
    inference(cnf_transformation,[],[f305156]) ).

fof(f305156,plain,
    ! [X0] :
      ( v133778(X0)
      | v133777(X0) ),
    inference(ennf_transformation,[],[f278764]) ).

fof(f278764,plain,
    ! [X0] :
      ( ~ v133777(X0)
     => v133778(X0) ),
    inference(unused_predicate_definition_removal,[],[f167108]) ).

fof(f167108,plain,
    ! [X0] :
      ( ~ v133777(X0)
    <=> v133778(X0) ),
    inference(rectify,[],[f621]) ).

fof(f621,axiom,
    ! [X1] :
      ( ~ v133777(X1)
    <=> v133778(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_11136) ).

fof(f700854,plain,
    ! [X0] :
      ( ~ v133778(X0)
      | v133779(X0,bitIndex0) ),
    inference(cnf_transformation,[],[f305160]) ).

fof(f305160,plain,
    ! [X0] :
      ( ( v133779(X0,bitIndex1)
        & v133779(X0,bitIndex0) )
      | ~ v133778(X0) ),
    inference(ennf_transformation,[],[f278765]) ).

fof(f278765,plain,
    ! [X0] :
      ( v133778(X0)
     => ( v133779(X0,bitIndex1)
        & v133779(X0,bitIndex0) ) ),
    inference(unused_predicate_definition_removal,[],[f190343]) ).

fof(f190343,plain,
    ! [X0] :
      ( v133778(X0)
    <=> ( v133779(X0,bitIndex1)
        & v133779(X0,bitIndex0) ) ),
    inference(rectify,[],[f622]) ).

fof(f622,axiom,
    ! [X1] :
      ( v133778(X1)
    <=> ( v133779(X1,bitIndex1)
        & v133779(X1,bitIndex0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_3136) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : HWV094+1 : TPTP v8.2.0. Released v6.1.0.
% 0.12/0.20  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.21/0.41  % Computer : n025.cluster.edu
% 0.21/0.41  % Model    : x86_64 x86_64
% 0.21/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.41  % Memory   : 8042.1875MB
% 0.21/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.21/0.41  % CPULimit   : 300
% 0.21/0.41  % WCLimit    : 300
% 0.21/0.41  % DateTime   : Mon May 13 12:38:08 EDT 2024
% 0.21/0.41  % CPUTime    : 
% 0.21/0.42  % (12315)Running in auto input_syntax mode. Trying TPTP
% 3.02/3.17  % (12323)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 3.02/3.17  % (12319)WARNING: value z3 for option sas not known
% 3.02/3.18  % (12317)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 3.02/3.18  % (12318)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 3.02/3.18  % (12319)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 3.02/3.18  % (12320)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 3.02/3.18  % (12321)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 3.02/3.18  % (12322)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 99.67/17.05  % (12317)Memory limit exceeded!
% 99.67/17.05  % (12317)------------------------------
% 99.67/17.05  % (12317)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 99.67/17.05  % (12317)Termination reason: Memory limit
% 99.67/17.05  % (12317)Termination phase: Clausification
% 99.67/17.05  
% 99.67/17.05  % (12317)Memory used [KB]: 16515059
% 99.67/17.05  % (12317)Time elapsed: 13.823 s
% 99.67/17.05  % (12317)Instructions burned: 29509 (million)
% 99.67/17.10  % (12317)------------------------------
% 99.67/17.10  % (12317)------------------------------
% 99.67/17.13  % (12318)Memory limit exceeded!
% 99.67/17.13  % (12318)------------------------------
% 99.67/17.13  % (12318)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 99.67/17.13  % (12318)Termination reason: Memory limit
% 99.67/17.13  % (12318)Termination phase: Clausification
% 99.67/17.13  
% 99.67/17.13  % (12318)Memory used [KB]: 16515059
% 99.67/17.13  % (12318)Time elapsed: 13.873 s
% 99.67/17.13  % (12318)Instructions burned: 29509 (million)
% 100.29/17.18  % (12318)------------------------------
% 100.29/17.18  % (12318)------------------------------
% 101.77/17.42  Detected minimum model sizes of [1]
% 101.77/17.42  Detected maximum model sizes of [2318]
% 102.75/17.49  TRYING [1]
% 108.88/18.38  % (12324)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 109.36/18.46  % (12325)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 119.03/19.86  TRYING [2]
% 167.66/26.81  Detected minimum model sizes of [1,1]
% 167.66/26.81  Detected maximum model sizes of [2112,2112]
% 168.25/26.87  TRYING [1,1]
% 182.36/28.93  TRYING [2,2]
% 188.18/29.79  TRYING [3]
% 196.38/30.95  % (12323)First to succeed.
% 196.38/30.96  % (12323)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12315"
% 197.53/31.06  % (12323)Refutation found. Thanks to Tanya!
% 197.53/31.06  % SZS status Theorem for theBenchmark
% 197.53/31.06  % SZS output start Proof for theBenchmark
% See solution above
% 197.53/31.06  % (12323)------------------------------
% 197.53/31.06  % (12323)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 197.53/31.06  % (12323)Termination reason: Refutation
% 197.53/31.06  
% 197.53/31.06  % (12323)Memory used [KB]: 631247
% 197.53/31.06  % (12323)Time elapsed: 27.785 s
% 197.53/31.06  % (12323)Instructions burned: 110181 (million)
% 197.53/31.06  % (12315)Success in time 30.602 s
%------------------------------------------------------------------------------