TSTP Solution File: HWV092+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : HWV092+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 : n029.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 : Sun May  5 06:43:43 EDT 2024

% Result   : Timeout 298.49s 49.55s
% Output   : None 
% 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(f2612928,plain,
    $false,
    inference(unit_resulting_resolution,[],[f1922491,f1852146,f1924809,f1065134]) ).

fof(f1065134,plain,
    ! [X0] :
      ( ~ v75423(X0)
      | v75397(X0)
      | ~ v75399(X0) ),
    inference(cnf_transformation,[],[f185122]) ).

fof(f185122,plain,
    ! [X0] :
      ( v75397(X0)
      | ~ v75423(X0)
      | ~ v75399(X0) ),
    inference(flattening,[],[f185121]) ).

fof(f185121,plain,
    ! [X0] :
      ( v75397(X0)
      | ~ v75423(X0)
      | ~ v75399(X0) ),
    inference(ennf_transformation,[],[f168981]) ).

fof(f168981,plain,
    ! [X0] :
      ( ( v75423(X0)
        & v75399(X0) )
     => v75397(X0) ),
    inference(unused_predicate_definition_removal,[],[f118170]) ).

fof(f118170,plain,
    ! [X0] :
      ( v75397(X0)
    <=> ( v75423(X0)
        & v75399(X0) ) ),
    inference(rectify,[],[f993]) ).

fof(f993,axiom,
    ! [X1] :
      ( v75397(X1)
    <=> ( v75423(X1)
        & v75399(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorEqualRangesSingleBits_13943) ).

fof(f1924809,plain,
    ! [X0] : v75423(X0),
    inference(unit_resulting_resolution,[],[f1168865,f1128223]) ).

fof(f1128223,plain,
    ! [X0] :
      ( ~ v75401(X0,bitIndex1)
      | v75423(X0) ),
    inference(cnf_transformation,[],[f185124]) ).

fof(f185124,plain,
    ! [X0] :
      ( v75423(X0)
      | ( ~ v75401(X0,bitIndex1)
        & ~ v75401(X0,bitIndex0) ) ),
    inference(ennf_transformation,[],[f168982]) ).

fof(f168982,plain,
    ! [X0] :
      ( ( v75401(X0,bitIndex1)
        | v75401(X0,bitIndex0) )
     => v75423(X0) ),
    inference(unused_predicate_definition_removal,[],[f130936]) ).

fof(f130936,plain,
    ! [X0] :
      ( v75423(X0)
    <=> ( v75401(X0,bitIndex1)
        | v75401(X0,bitIndex0) ) ),
    inference(rectify,[],[f994]) ).

fof(f994,axiom,
    ! [X1] :
      ( v75423(X1)
    <=> ( v75401(X1,bitIndex1)
        | v75401(X1,bitIndex0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_3077) ).

fof(f1168865,plain,
    ! [X0] : v75401(X0,bitIndex1),
    inference(cnf_transformation,[],[f149664]) ).

fof(f149664,plain,
    ! [X0] : v75401(X0,bitIndex1),
    inference(true_and_false_elimination,[],[f149663]) ).

fof(f149663,plain,
    ! [X0] :
      ( v75401(X0,bitIndex1)
    <=> $true ),
    inference(rectify,[],[f998]) ).

fof(f998,axiom,
    ! [X1] :
      ( v75401(X1,bitIndex1)
    <=> $true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_28825) ).

fof(f1852146,plain,
    ~ v75397(sK229232),
    inference(unit_resulting_resolution,[],[f1852145,f1047150]) ).

fof(f1047150,plain,
    ! [X0] :
      ( ~ v75397(X0)
      | ~ v75396(X0) ),
    inference(cnf_transformation,[],[f185119]) ).

fof(f185119,plain,
    ! [X0] :
      ( ~ v75396(X0)
      | ~ v75397(X0) ),
    inference(ennf_transformation,[],[f168980]) ).

fof(f168980,plain,
    ! [X0] :
      ( v75397(X0)
     => ~ v75396(X0) ),
    inference(unused_predicate_definition_removal,[],[f109144]) ).

fof(f109144,plain,
    ! [X0] :
      ( ~ v75396(X0)
    <=> v75397(X0) ),
    inference(rectify,[],[f992]) ).

fof(f992,axiom,
    ! [X1] :
      ( ~ v75396(X1)
    <=> v75397(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_6623) ).

fof(f1852145,plain,
    v75396(sK229232),
    inference(unit_resulting_resolution,[],[f955891,f1056515]) ).

fof(f1056515,plain,
    ! [X0] :
      ( v75396(X0)
      | v4(X0) ),
    inference(cnf_transformation,[],[f185120]) ).

fof(f185120,plain,
    ! [X0] :
      ( v75396(X0)
      | v4(X0) ),
    inference(ennf_transformation,[],[f168979]) ).

fof(f168979,plain,
    ! [X0] :
      ( ~ v4(X0)
     => v75396(X0) ),
    inference(unused_predicate_definition_removal,[],[f113827]) ).

fof(f113827,plain,
    ! [X0] :
      ( ~ v4(X0)
    <=> v75396(X0) ),
    inference(rectify,[],[f991]) ).

fof(f991,axiom,
    ! [X1] :
      ( ~ v4(X1)
    <=> v75396(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_6624) ).

fof(f955891,plain,
    ~ v4(sK229232),
    inference(cnf_transformation,[],[f439380]) ).

fof(f439380,plain,
    ( ~ v4(sK229232)
    & reachableState(sK229232) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK229232])],[f170364,f439379]) ).

fof(f439379,plain,
    ( ? [X0] :
        ( ~ v4(X0)
        & reachableState(X0) )
   => ( ~ v4(sK229232)
      & reachableState(sK229232) ) ),
    introduced(choice_axiom,[]) ).

fof(f170364,plain,
    ? [X0] :
      ( ~ v4(X0)
      & reachableState(X0) ),
    inference(ennf_transformation,[],[f89297]) ).

fof(f89297,plain,
    ~ ! [X0] :
        ( reachableState(X0)
       => v4(X0) ),
    inference(rectify,[],[f990]) ).

fof(f990,negated_conjecture,
    ~ ! [X1] :
        ( reachableState(X1)
       => v4(X1) ),
    inference(negated_conjecture,[],[f989]) ).

fof(f989,conjecture,
    ! [X1] :
      ( reachableState(X1)
     => v4(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssertion) ).

fof(f1922491,plain,
    ! [X0] : v75399(X0),
    inference(subsumption_resolution,[],[f1922490,f1848068]) ).

fof(f1848068,plain,
    ! [X0] : ~ v75401(X0,bitIndex0),
    inference(subsumption_resolution,[],[f1168441,f1848014]) ).

fof(f1848014,plain,
    ! [X0] : ~ v75402(X0),
    inference(subsumption_resolution,[],[f1071250,f967905]) ).

fof(f967905,plain,
    ! [X0] : ~ v75405(X0,bitIndex9),
    inference(cnf_transformation,[],[f89528]) ).

fof(f89528,plain,
    ! [X0] : ~ v75405(X0,bitIndex9),
    inference(rectify,[],[f1023]) ).

fof(f1023,axiom,
    ! [X1] : ~ v75405(X1,bitIndex9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addZeroExtensionConstraint_44) ).

fof(f1071250,plain,
    ! [X0] :
      ( v75405(X0,bitIndex9)
      | ~ v75402(X0) ),
    inference(cnf_transformation,[],[f479713]) ).

fof(f479713,plain,
    ! [X0] :
      ( ( v75402(X0)
        | ~ v75405(X0,bitIndex9)
        | ~ v75404(X0) )
      & ( ( v75405(X0,bitIndex9)
          & v75404(X0) )
        | ~ v75402(X0) ) ),
    inference(flattening,[],[f479712]) ).

fof(f479712,plain,
    ! [X0] :
      ( ( v75402(X0)
        | ~ v75405(X0,bitIndex9)
        | ~ v75404(X0) )
      & ( ( v75405(X0,bitIndex9)
          & v75404(X0) )
        | ~ v75402(X0) ) ),
    inference(nnf_transformation,[],[f120209]) ).

fof(f120209,plain,
    ! [X0] :
      ( v75402(X0)
    <=> ( v75405(X0,bitIndex9)
        & v75404(X0) ) ),
    inference(rectify,[],[f999]) ).

fof(f999,axiom,
    ! [X1] :
      ( v75402(X1)
    <=> ( v75405(X1,bitIndex9)
        & v75404(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_3075) ).

fof(f1168441,plain,
    ! [X0] :
      ( v75402(X0)
      | ~ v75401(X0,bitIndex0) ),
    inference(cnf_transformation,[],[f517664]) ).

fof(f517664,plain,
    ! [X0] :
      ( ( v75401(X0,bitIndex0)
        | ~ v75402(X0) )
      & ( v75402(X0)
        | ~ v75401(X0,bitIndex0) ) ),
    inference(nnf_transformation,[],[f149399]) ).

fof(f149399,plain,
    ! [X0] :
      ( v75401(X0,bitIndex0)
    <=> v75402(X0) ),
    inference(rectify,[],[f997]) ).

fof(f997,axiom,
    ! [X1] :
      ( v75401(X1,bitIndex0)
    <=> v75402(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_28826) ).

fof(f1922490,plain,
    ! [X0] :
      ( v75401(X0,bitIndex0)
      | v75399(X0) ),
    inference(resolution,[],[f1075329,f1047143]) ).

fof(f1047143,plain,
    ! [X0] :
      ( v75400(X0)
      | v75399(X0) ),
    inference(cnf_transformation,[],[f185118]) ).

fof(f185118,plain,
    ! [X0] :
      ( v75400(X0)
      | v75399(X0) ),
    inference(ennf_transformation,[],[f168983]) ).

fof(f168983,plain,
    ! [X0] :
      ( ~ v75399(X0)
     => v75400(X0) ),
    inference(unused_predicate_definition_removal,[],[f109140]) ).

fof(f109140,plain,
    ! [X0] :
      ( ~ v75399(X0)
    <=> v75400(X0) ),
    inference(rectify,[],[f995]) ).

fof(f995,axiom,
    ! [X1] :
      ( ~ v75399(X1)
    <=> v75400(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_6622) ).

fof(f1075329,plain,
    ! [X0] :
      ( ~ v75400(X0)
      | v75401(X0,bitIndex0) ),
    inference(cnf_transformation,[],[f185123]) ).

fof(f185123,plain,
    ! [X0] :
      ( ( v75401(X0,bitIndex1)
        & v75401(X0,bitIndex0) )
      | ~ v75400(X0) ),
    inference(ennf_transformation,[],[f168984]) ).

fof(f168984,plain,
    ! [X0] :
      ( v75400(X0)
     => ( v75401(X0,bitIndex1)
        & v75401(X0,bitIndex0) ) ),
    inference(unused_predicate_definition_removal,[],[f121570]) ).

fof(f121570,plain,
    ! [X0] :
      ( v75400(X0)
    <=> ( v75401(X0,bitIndex1)
        & v75401(X0,bitIndex0) ) ),
    inference(rectify,[],[f996]) ).

fof(f996,axiom,
    ! [X1] :
      ( v75400(X1)
    <=> ( v75401(X1,bitIndex1)
        & v75401(X1,bitIndex0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_3076) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : HWV092+1 : TPTP v8.1.2. Released v6.1.0.
% 0.15/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 21:41:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (4810)Running in auto input_syntax mode. Trying TPTP
% 7.85/8.06  % (4831)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 7.85/8.06  % (4832)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 7.85/8.06  % (4833)WARNING: value z3 for option sas not known
% 7.85/8.06  % (4833)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)
% 7.85/8.07  % (4834)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 7.85/8.07  % (4835)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)
% 7.85/8.07  % (4836)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)
% 7.85/8.07  % (4837)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)
% 139.28/26.89  % (4831)Memory limit exceeded!
% 139.28/26.89  % (4831)------------------------------
% 139.28/26.89  % (4831)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 139.28/26.89  % (4831)Termination reason: Memory limit
% 139.28/26.89  % (4831)Termination phase: Clausification
% 139.28/26.89  
% 139.28/26.89  % (4831)Memory used [KB]: 16515065
% 139.28/26.89  % (4831)Time elapsed: 18.788 s
% 139.28/26.89  % (4831)Instructions burned: 30760 (million)
% 139.28/26.91  % (4832)Memory limit exceeded!
% 139.28/26.91  % (4832)------------------------------
% 139.28/26.91  % (4832)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 139.28/26.91  % (4832)Termination reason: Memory limit
% 139.28/26.91  % (4832)Termination phase: Clausification
% 139.28/26.91  
% 139.28/26.91  % (4832)Memory used [KB]: 16515065
% 139.28/26.91  % (4832)Time elapsed: 18.816 s
% 139.28/26.91  % (4832)Instructions burned: 30760 (million)
% 139.65/26.92  % (4831)------------------------------
% 139.65/26.92  % (4831)------------------------------
% 139.65/26.94  % (4832)------------------------------
% 139.65/26.94  % (4832)------------------------------
% 148.32/28.15  % (5088)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 148.32/28.18  % (5089)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)
% 263.52/44.61  Detected minimum model sizes of [1]
% 263.52/44.61  Detected maximum model sizes of [2392]
% 265.73/44.87  TRYING [1]
% 298.49/49.55  % (4837)First to succeed.
% 298.49/49.57  % (4837)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4810"
% 299.57/49.76  % (4837)Refutation found. Thanks to Tanya!
% 299.57/49.76  % SZS status Theorem for theBenchmark
% 299.57/49.76  % SZS output start Proof for theBenchmark
% See solution above
% 299.57/49.76  % (4837)------------------------------
% 299.57/49.76  % (4837)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 299.57/49.76  % (4837)Termination reason: Refutation
% 299.57/49.76  
% 299.57/49.76  % (4837)Memory used [KB]: 1328433
% 299.57/49.76  % (4837)Time elapsed: 41.531 s
% 299.57/49.76  % (4837)Instructions burned: 147351 (million)
% 299.57/49.76  % (4810)Success in time 49.195 s
% 300.37/49.81  External time out (SIGXCPU) on >—starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------