TSTP Solution File: HWV090+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : HWV090+1 : TPTP v8.1.2. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.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 Apr 30 12:33:28 EDT 2024

% Result   : Theorem 53.79s 9.29s
% Output   : Refutation 53.79s
% 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(f336839,plain,
    $false,
    inference(unit_resulting_resolution,[],[f296967,f279289,f298292,f186455]) ).

fof(f186455,plain,
    ! [X0] :
      ( ~ v30869(X0)
      | v30851(X0)
      | ~ v30853(X0) ),
    inference(cnf_transformation,[],[f83221]) ).

fof(f83221,plain,
    ! [X0] :
      ( v30851(X0)
      | ~ v30869(X0)
      | ~ v30853(X0) ),
    inference(flattening,[],[f83220]) ).

fof(f83220,plain,
    ! [X0] :
      ( v30851(X0)
      | ~ v30869(X0)
      | ~ v30853(X0) ),
    inference(ennf_transformation,[],[f76708]) ).

fof(f76708,plain,
    ! [X0] :
      ( ( v30869(X0)
        & v30853(X0) )
     => v30851(X0) ),
    inference(unused_predicate_definition_removal,[],[f53717]) ).

fof(f53717,plain,
    ! [X0] :
      ( v30851(X0)
    <=> ( v30869(X0)
        & v30853(X0) ) ),
    inference(rectify,[],[f1203]) ).

fof(f1203,axiom,
    ! [X1] :
      ( v30851(X1)
    <=> ( v30869(X1)
        & v30853(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorEqualRangesSingleBits_6728) ).

fof(f298292,plain,
    ! [X0] : v30869(X0),
    inference(unit_resulting_resolution,[],[f239476,f221406]) ).

fof(f221406,plain,
    ! [X0] :
      ( ~ v30855(X0,bitIndex1)
      | v30869(X0) ),
    inference(cnf_transformation,[],[f83223]) ).

fof(f83223,plain,
    ! [X0] :
      ( v30869(X0)
      | ( ~ v30855(X0,bitIndex1)
        & ~ v30855(X0,bitIndex0) ) ),
    inference(ennf_transformation,[],[f76709]) ).

fof(f76709,plain,
    ! [X0] :
      ( ( v30855(X0,bitIndex1)
        | v30855(X0,bitIndex0) )
     => v30869(X0) ),
    inference(unused_predicate_definition_removal,[],[f60659]) ).

fof(f60659,plain,
    ! [X0] :
      ( v30869(X0)
    <=> ( v30855(X0,bitIndex1)
        | v30855(X0,bitIndex0) ) ),
    inference(rectify,[],[f1204]) ).

fof(f1204,axiom,
    ! [X1] :
      ( v30869(X1)
    <=> ( v30855(X1,bitIndex1)
        | v30855(X1,bitIndex0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_1723) ).

fof(f239476,plain,
    ! [X0] : v30855(X0,bitIndex1),
    inference(cnf_transformation,[],[f69604]) ).

fof(f69604,plain,
    ! [X0] : v30855(X0,bitIndex1),
    inference(true_and_false_elimination,[],[f69603]) ).

fof(f69603,plain,
    ! [X0] :
      ( v30855(X0,bitIndex1)
    <=> $true ),
    inference(rectify,[],[f1208]) ).

fof(f1208,axiom,
    ! [X1] :
      ( v30855(X1,bitIndex1)
    <=> $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssignment_9321) ).

fof(f279289,plain,
    ~ v30851(sK9904),
    inference(unit_resulting_resolution,[],[f279288,f178448]) ).

fof(f178448,plain,
    ! [X0] :
      ( ~ v30851(X0)
      | ~ v30850(X0) ),
    inference(cnf_transformation,[],[f83217]) ).

fof(f83217,plain,
    ! [X0] :
      ( ~ v30850(X0)
      | ~ v30851(X0) ),
    inference(ennf_transformation,[],[f76707]) ).

fof(f76707,plain,
    ! [X0] :
      ( v30851(X0)
     => ~ v30850(X0) ),
    inference(unused_predicate_definition_removal,[],[f49660]) ).

fof(f49660,plain,
    ! [X0] :
      ( ~ v30850(X0)
    <=> v30851(X0) ),
    inference(rectify,[],[f1202]) ).

fof(f1202,axiom,
    ! [X1] :
      ( ~ v30850(X1)
    <=> v30851(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_3139) ).

fof(f279288,plain,
    v30850(sK9904),
    inference(unit_resulting_resolution,[],[f149663,f183108]) ).

fof(f183108,plain,
    ! [X0] :
      ( v30850(X0)
      | v4(X0) ),
    inference(cnf_transformation,[],[f83219]) ).

fof(f83219,plain,
    ! [X0] :
      ( v30850(X0)
      | v4(X0) ),
    inference(ennf_transformation,[],[f76706]) ).

fof(f76706,plain,
    ! [X0] :
      ( ~ v4(X0)
     => v30850(X0) ),
    inference(unused_predicate_definition_removal,[],[f51992]) ).

fof(f51992,plain,
    ! [X0] :
      ( ~ v4(X0)
    <=> v30850(X0) ),
    inference(rectify,[],[f1201]) ).

fof(f1201,axiom,
    ! [X1] :
      ( ~ v4(X1)
    <=> v30850(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_3140) ).

fof(f149663,plain,
    ~ v4(sK9904),
    inference(cnf_transformation,[],[f99495]) ).

fof(f99495,plain,
    ( ~ v4(sK9904)
    & reachableState(sK9904) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9904])],[f77693,f99494]) ).

fof(f99494,plain,
    ( ? [X0] :
        ( ~ v4(X0)
        & reachableState(X0) )
   => ( ~ v4(sK9904)
      & reachableState(sK9904) ) ),
    introduced(choice_axiom,[]) ).

fof(f77693,plain,
    ? [X0] :
      ( ~ v4(X0)
      & reachableState(X0) ),
    inference(ennf_transformation,[],[f40492]) ).

fof(f40492,plain,
    ~ ! [X0] :
        ( reachableState(X0)
       => v4(X0) ),
    inference(rectify,[],[f1200]) ).

fof(f1200,negated_conjecture,
    ~ ! [X1] :
        ( reachableState(X1)
       => v4(X1) ),
    inference(negated_conjecture,[],[f1199]) ).

fof(f1199,conjecture,
    ! [X1] :
      ( reachableState(X1)
     => v4(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssertion) ).

fof(f296967,plain,
    ! [X0] : v30853(X0),
    inference(subsumption_resolution,[],[f296966,f277366]) ).

fof(f277366,plain,
    ! [X0] : ~ v30855(X0,bitIndex0),
    inference(subsumption_resolution,[],[f239479,f277337]) ).

fof(f277337,plain,
    ! [X0] : ~ v30856(X0),
    inference(subsumption_resolution,[],[f189370,f160757]) ).

fof(f160757,plain,
    ! [X0] : ~ v30860(X0,bitIndex5),
    inference(cnf_transformation,[],[f40743]) ).

fof(f40743,plain,
    ! [X0] : ~ v30860(X0,bitIndex5),
    inference(rectify,[],[f1222]) ).

fof(f1222,axiom,
    ! [X1] : ~ v30860(X1,bitIndex5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addZeroExtensionConstraint_11) ).

fof(f189370,plain,
    ! [X0] :
      ( v30860(X0,bitIndex5)
      | ~ v30856(X0) ),
    inference(cnf_transformation,[],[f110898]) ).

fof(f110898,plain,
    ! [X0] :
      ( ( v30856(X0)
        | ~ v30860(X0,bitIndex5)
        | ~ v30858(X0) )
      & ( ( v30860(X0,bitIndex5)
          & v30858(X0) )
        | ~ v30856(X0) ) ),
    inference(flattening,[],[f110897]) ).

fof(f110897,plain,
    ! [X0] :
      ( ( v30856(X0)
        | ~ v30860(X0,bitIndex5)
        | ~ v30858(X0) )
      & ( ( v30860(X0,bitIndex5)
          & v30858(X0) )
        | ~ v30856(X0) ) ),
    inference(nnf_transformation,[],[f54689]) ).

fof(f54689,plain,
    ! [X0] :
      ( v30856(X0)
    <=> ( v30860(X0,bitIndex5)
        & v30858(X0) ) ),
    inference(rectify,[],[f1209]) ).

fof(f1209,axiom,
    ! [X1] :
      ( v30856(X1)
    <=> ( v30860(X1,bitIndex5)
        & v30858(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_1721) ).

fof(f239479,plain,
    ! [X0] :
      ( v30856(X0)
      | ~ v30855(X0,bitIndex0) ),
    inference(cnf_transformation,[],[f130270]) ).

fof(f130270,plain,
    ! [X0] :
      ( ( v30855(X0,bitIndex0)
        | ~ v30856(X0) )
      & ( v30856(X0)
        | ~ v30855(X0,bitIndex0) ) ),
    inference(nnf_transformation,[],[f69607]) ).

fof(f69607,plain,
    ! [X0] :
      ( v30855(X0,bitIndex0)
    <=> v30856(X0) ),
    inference(rectify,[],[f1207]) ).

fof(f1207,axiom,
    ! [X1] :
      ( v30855(X1,bitIndex0)
    <=> v30856(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssignment_9322) ).

fof(f296966,plain,
    ! [X0] :
      ( v30855(X0,bitIndex0)
      | v30853(X0) ),
    inference(resolution,[],[f191661,f178459]) ).

fof(f178459,plain,
    ! [X0] :
      ( v30854(X0)
      | v30853(X0) ),
    inference(cnf_transformation,[],[f83218]) ).

fof(f83218,plain,
    ! [X0] :
      ( v30854(X0)
      | v30853(X0) ),
    inference(ennf_transformation,[],[f76710]) ).

fof(f76710,plain,
    ! [X0] :
      ( ~ v30853(X0)
     => v30854(X0) ),
    inference(unused_predicate_definition_removal,[],[f49666]) ).

fof(f49666,plain,
    ! [X0] :
      ( ~ v30853(X0)
    <=> v30854(X0) ),
    inference(rectify,[],[f1205]) ).

fof(f1205,axiom,
    ! [X1] :
      ( ~ v30853(X1)
    <=> v30854(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_3138) ).

fof(f191661,plain,
    ! [X0] :
      ( ~ v30854(X0)
      | v30855(X0,bitIndex0) ),
    inference(cnf_transformation,[],[f83222]) ).

fof(f83222,plain,
    ! [X0] :
      ( ( v30855(X0,bitIndex1)
        & v30855(X0,bitIndex0) )
      | ~ v30854(X0) ),
    inference(ennf_transformation,[],[f76711]) ).

fof(f76711,plain,
    ! [X0] :
      ( v30854(X0)
     => ( v30855(X0,bitIndex1)
        & v30855(X0,bitIndex0) ) ),
    inference(unused_predicate_definition_removal,[],[f55455]) ).

fof(f55455,plain,
    ! [X0] :
      ( v30854(X0)
    <=> ( v30855(X0,bitIndex1)
        & v30855(X0,bitIndex0) ) ),
    inference(rectify,[],[f1206]) ).

fof(f1206,axiom,
    ! [X1] :
      ( v30854(X1)
    <=> ( v30855(X1,bitIndex1)
        & v30855(X1,bitIndex0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_1722) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : HWV090+1 : TPTP v8.1.2. Released v6.1.0.
% 0.07/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Apr 30 05:12:17 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (32651)Running in auto input_syntax mode. Trying TPTP
% 1.63/1.82  % (32677)WARNING: value z3 for option sas not known
% 1.63/1.82  % (32675)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 1.63/1.82  % (32677)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)
% 1.63/1.82  % (32676)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 1.63/1.82  % (32679)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)
% 1.63/1.82  % (32678)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 1.63/1.82  % (32680)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)
% 1.63/1.83  % (32681)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)
% 45.95/8.22  Detected minimum model sizes of [1]
% 45.95/8.22  Detected maximum model sizes of [2455]
% 46.55/8.26  TRYING [1]
% 52.85/9.20  TRYING [2]
% 53.41/9.24  % (32681)First to succeed.
% 53.79/9.29  % (32681)Refutation found. Thanks to Tanya!
% 53.79/9.29  % SZS status Theorem for theBenchmark
% 53.79/9.29  % SZS output start Proof for theBenchmark
% See solution above
% 53.79/9.29  % (32681)------------------------------
% 53.79/9.29  % (32681)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 53.79/9.29  % (32681)Termination reason: Refutation
% 53.79/9.29  
% 53.79/9.29  % (32681)Memory used [KB]: 190106
% 53.79/9.29  % (32681)Time elapsed: 7.446 s
% 53.79/9.29  % (32681)Instructions burned: 16247 (million)
% 53.79/9.29  % (32681)------------------------------
% 53.79/9.29  % (32681)------------------------------
% 53.79/9.29  % (32651)Success in time 8.884 s
%------------------------------------------------------------------------------