TSTP Solution File: HWV089+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : HWV089+1 : TPTP v8.1.2. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 : Thu Aug 31 02:23:35 EDT 2023

% Result   : Theorem 18.65s 3.18s
% Output   : CNFRefutation 18.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   74 (  18 unt;   0 def)
%            Number of atoms       :  159 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  143 (  58   ~;  38   |;  19   &)
%                                         (  18 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 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   :   70 (  10 sgn;  50   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f321,conjecture,
    ! [X1] :
      ( reachableState(X1)
     => v4(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssertion) ).

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

fof(f323,axiom,
    ! [X1] :
      ( ~ v4(X1)
    <=> v3674(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_347) ).

fof(f324,axiom,
    ! [X1] :
      ( ~ v3674(X1)
    <=> v3675(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_346) ).

fof(f325,axiom,
    ! [X1] :
      ( v3675(X1)
    <=> ( v3693(X1)
        & v3677(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorEqualRangesSingleBits_740) ).

fof(f326,axiom,
    ! [X1] :
      ( v3693(X1)
    <=> ( v3679(X1,bitIndex1)
        | v3679(X1,bitIndex0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_555) ).

fof(f327,axiom,
    ! [X1] :
      ( ~ v3677(X1)
    <=> v3678(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_345) ).

fof(f328,axiom,
    ! [X1] :
      ( v3678(X1)
    <=> ( v3679(X1,bitIndex1)
        & v3679(X1,bitIndex0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_554) ).

fof(f329,axiom,
    ! [X1] :
      ( v3679(X1,bitIndex0)
    <=> v3680(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_2619) ).

fof(f330,axiom,
    ! [X1] :
      ( v3679(X1,bitIndex1)
    <=> $true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_2618) ).

fof(f331,axiom,
    ! [X1] :
      ( v3680(X1)
    <=> ( v3684(X1,bitIndex5)
        & v3682(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_553) ).

fof(f344,axiom,
    ! [X1] : ~ v3684(X1,bitIndex5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addZeroExtensionConstraint_5) ).

fof(f6384,plain,
    ~ ! [X0] :
        ( reachableState(X0)
       => v4(X0) ),
    inference(rectify,[],[f322]) ).

fof(f6385,plain,
    ! [X0] :
      ( ~ v4(X0)
    <=> v3674(X0) ),
    inference(rectify,[],[f323]) ).

fof(f6386,plain,
    ! [X0] :
      ( ~ v3674(X0)
    <=> v3675(X0) ),
    inference(rectify,[],[f324]) ).

fof(f6387,plain,
    ! [X0] :
      ( v3675(X0)
    <=> ( v3693(X0)
        & v3677(X0) ) ),
    inference(rectify,[],[f325]) ).

fof(f6388,plain,
    ! [X0] :
      ( v3693(X0)
    <=> ( v3679(X0,bitIndex1)
        | v3679(X0,bitIndex0) ) ),
    inference(rectify,[],[f326]) ).

fof(f6389,plain,
    ! [X0] :
      ( ~ v3677(X0)
    <=> v3678(X0) ),
    inference(rectify,[],[f327]) ).

fof(f6390,plain,
    ! [X0] :
      ( v3678(X0)
    <=> ( v3679(X0,bitIndex1)
        & v3679(X0,bitIndex0) ) ),
    inference(rectify,[],[f328]) ).

fof(f6391,plain,
    ! [X0] :
      ( v3679(X0,bitIndex0)
    <=> v3680(X0) ),
    inference(rectify,[],[f329]) ).

fof(f6392,plain,
    ! [X0] :
      ( v3679(X0,bitIndex1)
    <=> $true ),
    inference(rectify,[],[f330]) ).

fof(f6393,plain,
    ! [X0] : v3679(X0,bitIndex1),
    inference(true_and_false_elimination,[],[f6392]) ).

fof(f6394,plain,
    ! [X0] :
      ( v3680(X0)
    <=> ( v3684(X0,bitIndex5)
        & v3682(X0) ) ),
    inference(rectify,[],[f331]) ).

fof(f6407,plain,
    ! [X0] : ~ v3684(X0,bitIndex5),
    inference(rectify,[],[f344]) ).

fof(f12062,plain,
    ! [X0] :
      ( ~ v4(X0)
     => v3674(X0) ),
    inference(unused_predicate_definition_removal,[],[f6385]) ).

fof(f12063,plain,
    ! [X0] :
      ( v3675(X0)
     => ~ v3674(X0) ),
    inference(unused_predicate_definition_removal,[],[f6386]) ).

fof(f12064,plain,
    ! [X0] :
      ( ( v3693(X0)
        & v3677(X0) )
     => v3675(X0) ),
    inference(unused_predicate_definition_removal,[],[f6387]) ).

fof(f12065,plain,
    ! [X0] :
      ( ( v3679(X0,bitIndex1)
        | v3679(X0,bitIndex0) )
     => v3693(X0) ),
    inference(unused_predicate_definition_removal,[],[f6388]) ).

fof(f12066,plain,
    ! [X0] :
      ( ~ v3677(X0)
     => v3678(X0) ),
    inference(unused_predicate_definition_removal,[],[f6389]) ).

fof(f12067,plain,
    ! [X0] :
      ( v3678(X0)
     => ( v3679(X0,bitIndex1)
        & v3679(X0,bitIndex0) ) ),
    inference(unused_predicate_definition_removal,[],[f6390]) ).

fof(f12333,plain,
    ? [X0] :
      ( ~ v4(X0)
      & reachableState(X0) ),
    inference(ennf_transformation,[],[f6384]) ).

fof(f12334,plain,
    ! [X0] :
      ( v3674(X0)
      | v4(X0) ),
    inference(ennf_transformation,[],[f12062]) ).

fof(f12335,plain,
    ! [X0] :
      ( ~ v3674(X0)
      | ~ v3675(X0) ),
    inference(ennf_transformation,[],[f12063]) ).

fof(f12336,plain,
    ! [X0] :
      ( v3675(X0)
      | ~ v3693(X0)
      | ~ v3677(X0) ),
    inference(ennf_transformation,[],[f12064]) ).

fof(f12337,plain,
    ! [X0] :
      ( v3675(X0)
      | ~ v3693(X0)
      | ~ v3677(X0) ),
    inference(flattening,[],[f12336]) ).

fof(f12338,plain,
    ! [X0] :
      ( v3693(X0)
      | ( ~ v3679(X0,bitIndex1)
        & ~ v3679(X0,bitIndex0) ) ),
    inference(ennf_transformation,[],[f12065]) ).

fof(f12339,plain,
    ! [X0] :
      ( v3678(X0)
      | v3677(X0) ),
    inference(ennf_transformation,[],[f12066]) ).

fof(f12340,plain,
    ! [X0] :
      ( ( v3679(X0,bitIndex1)
        & v3679(X0,bitIndex0) )
      | ~ v3678(X0) ),
    inference(ennf_transformation,[],[f12067]) ).

fof(f13647,plain,
    ( ? [X0] :
        ( ~ v4(X0)
        & reachableState(X0) )
   => ( ~ v4(sK165)
      & reachableState(sK165) ) ),
    introduced(choice_axiom,[]) ).

fof(f13648,plain,
    ( ~ v4(sK165)
    & reachableState(sK165) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK165])],[f12333,f13647]) ).

fof(f13649,plain,
    ! [X0] :
      ( ( v3679(X0,bitIndex0)
        | ~ v3680(X0) )
      & ( v3680(X0)
        | ~ v3679(X0,bitIndex0) ) ),
    inference(nnf_transformation,[],[f6391]) ).

fof(f13650,plain,
    ! [X0] :
      ( ( v3680(X0)
        | ~ v3684(X0,bitIndex5)
        | ~ v3682(X0) )
      & ( ( v3684(X0,bitIndex5)
          & v3682(X0) )
        | ~ v3680(X0) ) ),
    inference(nnf_transformation,[],[f6394]) ).

fof(f13651,plain,
    ! [X0] :
      ( ( v3680(X0)
        | ~ v3684(X0,bitIndex5)
        | ~ v3682(X0) )
      & ( ( v3684(X0,bitIndex5)
          & v3682(X0) )
        | ~ v3680(X0) ) ),
    inference(flattening,[],[f13650]) ).

fof(f20678,plain,
    ~ v4(sK165),
    inference(cnf_transformation,[],[f13648]) ).

fof(f20679,plain,
    ! [X0] :
      ( v3674(X0)
      | v4(X0) ),
    inference(cnf_transformation,[],[f12334]) ).

fof(f20680,plain,
    ! [X0] :
      ( ~ v3674(X0)
      | ~ v3675(X0) ),
    inference(cnf_transformation,[],[f12335]) ).

fof(f20681,plain,
    ! [X0] :
      ( v3675(X0)
      | ~ v3693(X0)
      | ~ v3677(X0) ),
    inference(cnf_transformation,[],[f12337]) ).

fof(f20683,plain,
    ! [X0] :
      ( v3693(X0)
      | ~ v3679(X0,bitIndex1) ),
    inference(cnf_transformation,[],[f12338]) ).

fof(f20684,plain,
    ! [X0] :
      ( v3678(X0)
      | v3677(X0) ),
    inference(cnf_transformation,[],[f12339]) ).

fof(f20685,plain,
    ! [X0] :
      ( v3679(X0,bitIndex0)
      | ~ v3678(X0) ),
    inference(cnf_transformation,[],[f12340]) ).

fof(f20687,plain,
    ! [X0] :
      ( v3680(X0)
      | ~ v3679(X0,bitIndex0) ),
    inference(cnf_transformation,[],[f13649]) ).

fof(f20689,plain,
    ! [X0] : v3679(X0,bitIndex1),
    inference(cnf_transformation,[],[f6393]) ).

fof(f20691,plain,
    ! [X0] :
      ( v3684(X0,bitIndex5)
      | ~ v3680(X0) ),
    inference(cnf_transformation,[],[f13651]) ).

fof(f20722,plain,
    ! [X0] : ~ v3684(X0,bitIndex5),
    inference(cnf_transformation,[],[f6407]) ).

cnf(c_470,negated_conjecture,
    ~ v4(sK165),
    inference(cnf_transformation,[],[f20678]) ).

cnf(c_472,plain,
    ( v4(X0)
    | v3674(X0) ),
    inference(cnf_transformation,[],[f20679]) ).

cnf(c_473,plain,
    ( ~ v3674(X0)
    | ~ v3675(X0) ),
    inference(cnf_transformation,[],[f20680]) ).

cnf(c_474,plain,
    ( ~ v3693(X0)
    | ~ v3677(X0)
    | v3675(X0) ),
    inference(cnf_transformation,[],[f20681]) ).

cnf(c_475,plain,
    ( ~ v3679(X0,bitIndex1)
    | v3693(X0) ),
    inference(cnf_transformation,[],[f20683]) ).

cnf(c_477,plain,
    ( v3677(X0)
    | v3678(X0) ),
    inference(cnf_transformation,[],[f20684]) ).

cnf(c_479,plain,
    ( ~ v3678(X0)
    | v3679(X0,bitIndex0) ),
    inference(cnf_transformation,[],[f20685]) ).

cnf(c_481,plain,
    ( ~ v3679(X0,bitIndex0)
    | v3680(X0) ),
    inference(cnf_transformation,[],[f20687]) ).

cnf(c_482,plain,
    v3679(X0,bitIndex1),
    inference(cnf_transformation,[],[f20689]) ).

cnf(c_484,plain,
    ( ~ v3680(X0)
    | v3684(X0,bitIndex5) ),
    inference(cnf_transformation,[],[f20691]) ).

cnf(c_515,plain,
    ~ v3684(X0,bitIndex5),
    inference(cnf_transformation,[],[f20722]) ).

cnf(c_37344,plain,
    v3693(X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_475,c_482]) ).

cnf(c_37357,plain,
    ~ v3680(X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_484,c_515]) ).

cnf(c_37358,plain,
    ~ v3679(X0,bitIndex0),
    inference(backward_subsumption_resolution,[status(thm)],[c_481,c_37357]) ).

cnf(c_37359,plain,
    ~ v3678(X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_479,c_37358]) ).

cnf(c_37360,plain,
    v3677(X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_477,c_37359]) ).

cnf(c_69832,plain,
    v3675(X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_474,c_37360,c_37344]) ).

cnf(c_69833,plain,
    ~ v3674(X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_473,c_69832]) ).

cnf(c_69834,plain,
    v4(X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_472,c_69833]) ).

cnf(c_69835,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_470,c_69834]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : HWV089+1 : TPTP v8.1.2. Released v6.1.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 14:16:26 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 18.65/3.18  % SZS status Started for theBenchmark.p
% 18.65/3.18  % SZS status Theorem for theBenchmark.p
% 18.65/3.18  
% 18.65/3.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 18.65/3.18  
% 18.65/3.18  ------  iProver source info
% 18.65/3.18  
% 18.65/3.18  git: date: 2023-05-31 18:12:56 +0000
% 18.65/3.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 18.65/3.18  git: non_committed_changes: false
% 18.65/3.18  git: last_make_outside_of_git: false
% 18.65/3.18  
% 18.65/3.18  ------ Parsing...
% 18.65/3.18  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_eq
% 18.65/3.18  
% 18.65/3.18  
% 18.65/3.18  ------ Preprocessing...
% 18.65/3.18  
% 18.65/3.18  % SZS status Theorem for theBenchmark.p
% 18.65/3.18  
% 18.65/3.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.65/3.18  
% 18.65/3.18  
%------------------------------------------------------------------------------