TSTP Solution File: HWV089_1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : HWV089_1 : TPTP v8.1.2. Bugfixed v6.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% 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 : Thu Aug 31 02:23:34 EDT 2023

% Result   : Theorem 21.13s 3.72s
% Output   : CNFRefutation 21.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   73 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :  222 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  163 (  62   ~;  46   |;  25   &)
%                                         (  20 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   48 (  48 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   20 (  18 usr;   8 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   69 (   3 sgn;  55   !;   2   ?;  57   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f332,conjecture,
    ! [X1: state_type] :
      ( reachableState(X1)
     => v4(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssertion) ).

tff(f333,negated_conjecture,
    ~ ! [X1: state_type] :
        ( reachableState(X1)
       => v4(X1) ),
    inference(negated_conjecture,[],[f332]) ).

tff(f334,axiom,
    ! [X1: state_type] :
      ( ~ v4(X1)
    <=> v3674(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_347) ).

tff(f335,axiom,
    ! [X1: state_type] :
      ( ~ v3674(X1)
    <=> v3675(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_346) ).

tff(f336,axiom,
    ! [X1: state_type] :
      ( v3675(X1)
    <=> ( v3693(X1)
        & v3677(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorEqualRangesSingleBits_740) ).

tff(f337,axiom,
    ! [X1: state_type] :
      ( v3693(X1)
    <=> ( v3679(X1,bitIndex1)
        | v3679(X1,bitIndex0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_555) ).

tff(f338,axiom,
    ! [X1: state_type] :
      ( ~ v3677(X1)
    <=> v3678(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_345) ).

tff(f339,axiom,
    ! [X1: state_type] :
      ( v3678(X1)
    <=> ( v3679(X1,bitIndex1)
        & v3679(X1,bitIndex0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_554) ).

tff(f340,axiom,
    ! [X1: state_type] :
      ( v3679(X1,bitIndex0)
    <=> v3680(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_2619) ).

tff(f341,axiom,
    ! [X1: state_type] :
      ( v3679(X1,bitIndex1)
    <=> $true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_2618) ).

tff(f342,axiom,
    ! [X1: state_type] :
      ( v3680(X1)
    <=> ( v3684(X1,bitIndex5)
        & v3682(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_553) ).

tff(f343,axiom,
    ! [X1: state_type] :
      ( v3682(X1)
    <=> ( v3684(X1,bitIndex4)
        & v3683(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_552) ).

tff(f354,axiom,
    ! [X1: state_type] : ~ v3684(X1,bitIndex4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addZeroExtensionConstraint_6) ).

tff(f6395,plain,
    ~ ! [X0: state_type] :
        ( reachableState(X0)
       => v4(X0) ),
    inference(rectify,[],[f333]) ).

tff(f6396,plain,
    ! [X0: state_type] :
      ( ~ v4(X0)
    <=> v3674(X0) ),
    inference(rectify,[],[f334]) ).

tff(f6397,plain,
    ! [X0: state_type] :
      ( ~ v3674(X0)
    <=> v3675(X0) ),
    inference(rectify,[],[f335]) ).

tff(f6398,plain,
    ! [X0: state_type] :
      ( v3675(X0)
    <=> ( v3693(X0)
        & v3677(X0) ) ),
    inference(rectify,[],[f336]) ).

tff(f6399,plain,
    ! [X0: state_type] :
      ( v3693(X0)
    <=> ( v3679(X0,bitIndex1)
        | v3679(X0,bitIndex0) ) ),
    inference(rectify,[],[f337]) ).

tff(f6400,plain,
    ! [X0: state_type] :
      ( ~ v3677(X0)
    <=> v3678(X0) ),
    inference(rectify,[],[f338]) ).

tff(f6401,plain,
    ! [X0: state_type] :
      ( v3678(X0)
    <=> ( v3679(X0,bitIndex1)
        & v3679(X0,bitIndex0) ) ),
    inference(rectify,[],[f339]) ).

tff(f6402,plain,
    ! [X0: state_type] :
      ( v3679(X0,bitIndex0)
    <=> v3680(X0) ),
    inference(rectify,[],[f340]) ).

tff(f6403,plain,
    ! [X0: state_type] :
      ( v3679(X0,bitIndex1)
    <=> $true ),
    inference(rectify,[],[f341]) ).

tff(f6404,plain,
    ! [X0: state_type] : v3679(X0,bitIndex1),
    inference(true_and_false_elimination,[],[f6403]) ).

tff(f6405,plain,
    ! [X0: state_type] :
      ( v3680(X0)
    <=> ( v3684(X0,bitIndex5)
        & v3682(X0) ) ),
    inference(rectify,[],[f342]) ).

tff(f6406,plain,
    ! [X0: state_type] :
      ( v3682(X0)
    <=> ( v3684(X0,bitIndex4)
        & v3683(X0) ) ),
    inference(rectify,[],[f343]) ).

tff(f6417,plain,
    ! [X0: state_type] : ~ v3684(X0,bitIndex4),
    inference(rectify,[],[f354]) ).

tff(f12033,plain,
    ! [X0: state_type] :
      ( ~ v4(X0)
     => v3674(X0) ),
    inference(unused_predicate_definition_removal,[],[f6396]) ).

tff(f12034,plain,
    ! [X0: state_type] :
      ( v3675(X0)
     => ~ v3674(X0) ),
    inference(unused_predicate_definition_removal,[],[f6397]) ).

tff(f12035,plain,
    ! [X0: state_type] :
      ( ( v3693(X0)
        & v3677(X0) )
     => v3675(X0) ),
    inference(unused_predicate_definition_removal,[],[f6398]) ).

tff(f12036,plain,
    ! [X0: state_type] :
      ( ( v3679(X0,bitIndex1)
        | v3679(X0,bitIndex0) )
     => v3693(X0) ),
    inference(unused_predicate_definition_removal,[],[f6399]) ).

tff(f12037,plain,
    ! [X0: state_type] :
      ( ~ v3677(X0)
     => v3678(X0) ),
    inference(unused_predicate_definition_removal,[],[f6400]) ).

tff(f12038,plain,
    ! [X0: state_type] :
      ( v3678(X0)
     => ( v3679(X0,bitIndex1)
        & v3679(X0,bitIndex0) ) ),
    inference(unused_predicate_definition_removal,[],[f6401]) ).

tff(f12344,plain,
    ? [X0: state_type] :
      ( ~ v4(X0)
      & reachableState(X0) ),
    inference(ennf_transformation,[],[f6395]) ).

tff(f12345,plain,
    ! [X0: state_type] :
      ( v3674(X0)
      | v4(X0) ),
    inference(ennf_transformation,[],[f12033]) ).

tff(f12346,plain,
    ! [X0: state_type] :
      ( ~ v3674(X0)
      | ~ v3675(X0) ),
    inference(ennf_transformation,[],[f12034]) ).

tff(f12347,plain,
    ! [X0: state_type] :
      ( v3675(X0)
      | ~ v3693(X0)
      | ~ v3677(X0) ),
    inference(ennf_transformation,[],[f12035]) ).

tff(f12348,plain,
    ! [X0: state_type] :
      ( v3675(X0)
      | ~ v3693(X0)
      | ~ v3677(X0) ),
    inference(flattening,[],[f12347]) ).

tff(f12349,plain,
    ! [X0: state_type] :
      ( v3693(X0)
      | ( ~ v3679(X0,bitIndex1)
        & ~ v3679(X0,bitIndex0) ) ),
    inference(ennf_transformation,[],[f12036]) ).

tff(f12350,plain,
    ! [X0: state_type] :
      ( v3678(X0)
      | v3677(X0) ),
    inference(ennf_transformation,[],[f12037]) ).

tff(f12351,plain,
    ! [X0: state_type] :
      ( ( v3679(X0,bitIndex1)
        & v3679(X0,bitIndex0) )
      | ~ v3678(X0) ),
    inference(ennf_transformation,[],[f12038]) ).

tff(f13658,plain,
    ( ? [X0: state_type] :
        ( ~ v4(X0)
        & reachableState(X0) )
   => ( ~ v4(sK165)
      & reachableState(sK165) ) ),
    introduced(choice_axiom,[]) ).

tff(f13659,plain,
    ( ~ v4(sK165)
    & reachableState(sK165) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK165])],[f12344,f13658]) ).

tff(f13660,plain,
    ! [X0: state_type] :
      ( ( v3679(X0,bitIndex0)
        | ~ v3680(X0) )
      & ( v3680(X0)
        | ~ v3679(X0,bitIndex0) ) ),
    inference(nnf_transformation,[],[f6402]) ).

tff(f13661,plain,
    ! [X0: state_type] :
      ( ( v3680(X0)
        | ~ v3684(X0,bitIndex5)
        | ~ v3682(X0) )
      & ( ( v3684(X0,bitIndex5)
          & v3682(X0) )
        | ~ v3680(X0) ) ),
    inference(nnf_transformation,[],[f6405]) ).

tff(f13662,plain,
    ! [X0: state_type] :
      ( ( v3680(X0)
        | ~ v3684(X0,bitIndex5)
        | ~ v3682(X0) )
      & ( ( v3684(X0,bitIndex5)
          & v3682(X0) )
        | ~ v3680(X0) ) ),
    inference(flattening,[],[f13661]) ).

tff(f13663,plain,
    ! [X0: state_type] :
      ( ( v3682(X0)
        | ~ v3684(X0,bitIndex4)
        | ~ v3683(X0) )
      & ( ( v3684(X0,bitIndex4)
          & v3683(X0) )
        | ~ v3682(X0) ) ),
    inference(nnf_transformation,[],[f6406]) ).

tff(f13664,plain,
    ! [X0: state_type] :
      ( ( v3682(X0)
        | ~ v3684(X0,bitIndex4)
        | ~ v3683(X0) )
      & ( ( v3684(X0,bitIndex4)
          & v3683(X0) )
        | ~ v3682(X0) ) ),
    inference(flattening,[],[f13663]) ).

tff(f20700,plain,
    ~ v4(sK165),
    inference(cnf_transformation,[],[f13659]) ).

tff(f20701,plain,
    ! [X0: state_type] :
      ( v3674(X0)
      | v4(X0) ),
    inference(cnf_transformation,[],[f12345]) ).

tff(f20702,plain,
    ! [X0: state_type] :
      ( ~ v3674(X0)
      | ~ v3675(X0) ),
    inference(cnf_transformation,[],[f12346]) ).

tff(f20703,plain,
    ! [X0: state_type] :
      ( v3675(X0)
      | ~ v3693(X0)
      | ~ v3677(X0) ),
    inference(cnf_transformation,[],[f12348]) ).

tff(f20705,plain,
    ! [X0: state_type] :
      ( v3693(X0)
      | ~ v3679(X0,bitIndex1) ),
    inference(cnf_transformation,[],[f12349]) ).

tff(f20706,plain,
    ! [X0: state_type] :
      ( v3678(X0)
      | v3677(X0) ),
    inference(cnf_transformation,[],[f12350]) ).

tff(f20707,plain,
    ! [X0: state_type] :
      ( v3679(X0,bitIndex0)
      | ~ v3678(X0) ),
    inference(cnf_transformation,[],[f12351]) ).

tff(f20709,plain,
    ! [X0: state_type] :
      ( v3680(X0)
      | ~ v3679(X0,bitIndex0) ),
    inference(cnf_transformation,[],[f13660]) ).

tff(f20711,plain,
    ! [X0: state_type] : v3679(X0,bitIndex1),
    inference(cnf_transformation,[],[f6404]) ).

tff(f20712,plain,
    ! [X0: state_type] :
      ( v3682(X0)
      | ~ v3680(X0) ),
    inference(cnf_transformation,[],[f13662]) ).

tff(f20716,plain,
    ! [X0: state_type] :
      ( v3684(X0,bitIndex4)
      | ~ v3682(X0) ),
    inference(cnf_transformation,[],[f13664]) ).

tff(f20743,plain,
    ! [X0: state_type] : ~ v3684(X0,bitIndex4),
    inference(cnf_transformation,[],[f6417]) ).

cnf(c_481,negated_conjecture,
    ~ v4(sK165),
    inference(cnf_transformation,[],[f20700]) ).

cnf(c_483,plain,
    ( v3674(X0_13)
    | v4(X0_13) ),
    inference(cnf_transformation,[],[f20701]) ).

cnf(c_484,plain,
    ( ~ v3675(X0_13)
    | ~ v3674(X0_13) ),
    inference(cnf_transformation,[],[f20702]) ).

cnf(c_485,plain,
    ( ~ v3677(X0_13)
    | ~ v3693(X0_13)
    | v3675(X0_13) ),
    inference(cnf_transformation,[],[f20703]) ).

cnf(c_486,plain,
    ( ~ v3679(X0_13,bitIndex1)
    | v3693(X0_13) ),
    inference(cnf_transformation,[],[f20705]) ).

cnf(c_488,plain,
    ( v3678(X0_13)
    | v3677(X0_13) ),
    inference(cnf_transformation,[],[f20706]) ).

cnf(c_490,plain,
    ( ~ v3678(X0_13)
    | v3679(X0_13,bitIndex0) ),
    inference(cnf_transformation,[],[f20707]) ).

cnf(c_492,plain,
    ( ~ v3679(X0_13,bitIndex0)
    | v3680(X0_13) ),
    inference(cnf_transformation,[],[f20709]) ).

cnf(c_493,plain,
    v3679(X0_13,bitIndex1),
    inference(cnf_transformation,[],[f20711]) ).

cnf(c_496,plain,
    ( ~ v3680(X0_13)
    | v3682(X0_13) ),
    inference(cnf_transformation,[],[f20712]) ).

cnf(c_498,plain,
    ( ~ v3682(X0_13)
    | v3684(X0_13,bitIndex4) ),
    inference(cnf_transformation,[],[f20716]) ).

cnf(c_525,plain,
    ~ v3684(X0_13,bitIndex4),
    inference(cnf_transformation,[],[f20743]) ).

cnf(c_27746,plain,
    v4(X0_13),
    inference(global_subsumption_just,[status(thm)],[c_483,c_493,c_525,c_488,c_483,c_496,c_498,c_492,c_490,c_486,c_484,c_485]) ).

cnf(c_84476,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_481,c_27746]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : HWV089_1 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n029.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 Aug 29 15:10:57 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 21.13/3.72  % SZS status Started for theBenchmark.p
% 21.13/3.72  % SZS status Theorem for theBenchmark.p
% 21.13/3.72  
% 21.13/3.72  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 21.13/3.72  
% 21.13/3.72  ------  iProver source info
% 21.13/3.72  
% 21.13/3.72  git: date: 2023-05-31 18:12:56 +0000
% 21.13/3.72  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 21.13/3.72  git: non_committed_changes: false
% 21.13/3.72  git: last_make_outside_of_git: false
% 21.13/3.72  
% 21.13/3.72  ------ Parsing...
% 21.13/3.72  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 21.13/3.72  
% 21.13/3.72  
% 21.13/3.72  ------ Preprocessing...
% 21.13/3.72  
% 21.13/3.72  % SZS status Theorem for theBenchmark.p
% 21.13/3.72  
% 21.13/3.72  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.13/3.72  
% 21.13/3.72  
%------------------------------------------------------------------------------