TSTP Solution File: HWV093_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : HWV093_1 : TPTP v8.1.2. Bugfixed v6.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 : Fri May  3 02:27:00 EDT 2024

% Result   : Theorem 9.57s 2.12s
% Output   : CNFRefutation 9.57s
% 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(f46,conjecture,
    ! [X1: state_type] :
      ( reachableState(X1)
     => v4(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssertion) ).

tff(f47,negated_conjecture,
    ~ ! [X1: state_type] :
        ( reachableState(X1)
       => v4(X1) ),
    inference(negated_conjecture,[],[f46]) ).

tff(f48,axiom,
    ! [X1: state_type] :
      ( ~ v4(X1)
    <=> v995(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_113) ).

tff(f49,axiom,
    ! [X1: state_type] :
      ( ~ v995(X1)
    <=> v996(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_112) ).

tff(f50,axiom,
    ! [X1: state_type] :
      ( v996(X1)
    <=> ( v1010(X1)
        & v998(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorEqualRangesSingleBits_170) ).

tff(f51,axiom,
    ! [X1: state_type] :
      ( v1010(X1)
    <=> ( v1000(X1,bitIndex1)
        | v1000(X1,bitIndex0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_80) ).

tff(f52,axiom,
    ! [X1: state_type] :
      ( ~ v998(X1)
    <=> v999(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_111) ).

tff(f53,axiom,
    ! [X1: state_type] :
      ( v999(X1)
    <=> ( v1000(X1,bitIndex1)
        & v1000(X1,bitIndex0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_79) ).

tff(f54,axiom,
    ! [X1: state_type] :
      ( v1000(X1,bitIndex0)
    <=> v1001(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_245) ).

tff(f55,axiom,
    ! [X1: state_type] :
      ( v1000(X1,bitIndex1)
    <=> $true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_244) ).

tff(f56,axiom,
    ! [X1: state_type] :
      ( v1001(X1)
    <=> ( v1007(X1,bitIndex5)
        & v1003(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_78) ).

tff(f57,axiom,
    ! [X1: state_type] :
      ( v1003(X1)
    <=> ( v1007(X1,bitIndex4)
        & v1004(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_77) ).

tff(f63,axiom,
    ! [X1: state_type] : ~ v1007(X1,bitIndex4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addZeroExtensionConstraint_4) ).

tff(f1170,plain,
    ~ ! [X0: state_type] :
        ( reachableState(X0)
       => v4(X0) ),
    inference(rectify,[],[f47]) ).

tff(f1171,plain,
    ! [X0: state_type] :
      ( ~ v4(X0)
    <=> v995(X0) ),
    inference(rectify,[],[f48]) ).

tff(f1172,plain,
    ! [X0: state_type] :
      ( ~ v995(X0)
    <=> v996(X0) ),
    inference(rectify,[],[f49]) ).

tff(f1173,plain,
    ! [X0: state_type] :
      ( v996(X0)
    <=> ( v1010(X0)
        & v998(X0) ) ),
    inference(rectify,[],[f50]) ).

tff(f1174,plain,
    ! [X0: state_type] :
      ( v1010(X0)
    <=> ( v1000(X0,bitIndex1)
        | v1000(X0,bitIndex0) ) ),
    inference(rectify,[],[f51]) ).

tff(f1175,plain,
    ! [X0: state_type] :
      ( ~ v998(X0)
    <=> v999(X0) ),
    inference(rectify,[],[f52]) ).

tff(f1176,plain,
    ! [X0: state_type] :
      ( v999(X0)
    <=> ( v1000(X0,bitIndex1)
        & v1000(X0,bitIndex0) ) ),
    inference(rectify,[],[f53]) ).

tff(f1177,plain,
    ! [X0: state_type] :
      ( v1000(X0,bitIndex0)
    <=> v1001(X0) ),
    inference(rectify,[],[f54]) ).

tff(f1178,plain,
    ! [X0: state_type] :
      ( v1000(X0,bitIndex1)
    <=> $true ),
    inference(rectify,[],[f55]) ).

tff(f1179,plain,
    ! [X0: state_type] : v1000(X0,bitIndex1),
    inference(true_and_false_elimination,[],[f1178]) ).

tff(f1180,plain,
    ! [X0: state_type] :
      ( v1001(X0)
    <=> ( v1007(X0,bitIndex5)
        & v1003(X0) ) ),
    inference(rectify,[],[f56]) ).

tff(f1181,plain,
    ! [X0: state_type] :
      ( v1003(X0)
    <=> ( v1007(X0,bitIndex4)
        & v1004(X0) ) ),
    inference(rectify,[],[f57]) ).

tff(f1187,plain,
    ! [X0: state_type] : ~ v1007(X0,bitIndex4),
    inference(rectify,[],[f63]) ).

tff(f2248,plain,
    ! [X0: state_type] :
      ( ~ v4(X0)
     => v995(X0) ),
    inference(unused_predicate_definition_removal,[],[f1171]) ).

tff(f2249,plain,
    ! [X0: state_type] :
      ( v996(X0)
     => ~ v995(X0) ),
    inference(unused_predicate_definition_removal,[],[f1172]) ).

tff(f2250,plain,
    ! [X0: state_type] :
      ( ( v1010(X0)
        & v998(X0) )
     => v996(X0) ),
    inference(unused_predicate_definition_removal,[],[f1173]) ).

tff(f2251,plain,
    ! [X0: state_type] :
      ( ( v1000(X0,bitIndex1)
        | v1000(X0,bitIndex0) )
     => v1010(X0) ),
    inference(unused_predicate_definition_removal,[],[f1174]) ).

tff(f2252,plain,
    ! [X0: state_type] :
      ( ~ v998(X0)
     => v999(X0) ),
    inference(unused_predicate_definition_removal,[],[f1175]) ).

tff(f2253,plain,
    ! [X0: state_type] :
      ( v999(X0)
     => ( v1000(X0,bitIndex1)
        & v1000(X0,bitIndex0) ) ),
    inference(unused_predicate_definition_removal,[],[f1176]) ).

tff(f2440,plain,
    ? [X0: state_type] :
      ( ~ v4(X0)
      & reachableState(X0) ),
    inference(ennf_transformation,[],[f1170]) ).

tff(f2441,plain,
    ! [X0: state_type] :
      ( v995(X0)
      | v4(X0) ),
    inference(ennf_transformation,[],[f2248]) ).

tff(f2442,plain,
    ! [X0: state_type] :
      ( ~ v995(X0)
      | ~ v996(X0) ),
    inference(ennf_transformation,[],[f2249]) ).

tff(f2443,plain,
    ! [X0: state_type] :
      ( v996(X0)
      | ~ v1010(X0)
      | ~ v998(X0) ),
    inference(ennf_transformation,[],[f2250]) ).

tff(f2444,plain,
    ! [X0: state_type] :
      ( v996(X0)
      | ~ v1010(X0)
      | ~ v998(X0) ),
    inference(flattening,[],[f2443]) ).

tff(f2445,plain,
    ! [X0: state_type] :
      ( v1010(X0)
      | ( ~ v1000(X0,bitIndex1)
        & ~ v1000(X0,bitIndex0) ) ),
    inference(ennf_transformation,[],[f2251]) ).

tff(f2446,plain,
    ! [X0: state_type] :
      ( v999(X0)
      | v998(X0) ),
    inference(ennf_transformation,[],[f2252]) ).

tff(f2447,plain,
    ! [X0: state_type] :
      ( ( v1000(X0,bitIndex1)
        & v1000(X0,bitIndex0) )
      | ~ v999(X0) ),
    inference(ennf_transformation,[],[f2253]) ).

tff(f3119,plain,
    ( ? [X0: state_type] :
        ( ~ v4(X0)
        & reachableState(X0) )
   => ( ~ v4(sK391)
      & reachableState(sK391) ) ),
    introduced(choice_axiom,[]) ).

tff(f3120,plain,
    ( ~ v4(sK391)
    & reachableState(sK391) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK391])],[f2440,f3119]) ).

tff(f3121,plain,
    ! [X0: state_type] :
      ( ( v1000(X0,bitIndex0)
        | ~ v1001(X0) )
      & ( v1001(X0)
        | ~ v1000(X0,bitIndex0) ) ),
    inference(nnf_transformation,[],[f1177]) ).

tff(f3122,plain,
    ! [X0: state_type] :
      ( ( v1001(X0)
        | ~ v1007(X0,bitIndex5)
        | ~ v1003(X0) )
      & ( ( v1007(X0,bitIndex5)
          & v1003(X0) )
        | ~ v1001(X0) ) ),
    inference(nnf_transformation,[],[f1180]) ).

tff(f3123,plain,
    ! [X0: state_type] :
      ( ( v1001(X0)
        | ~ v1007(X0,bitIndex5)
        | ~ v1003(X0) )
      & ( ( v1007(X0,bitIndex5)
          & v1003(X0) )
        | ~ v1001(X0) ) ),
    inference(flattening,[],[f3122]) ).

tff(f3124,plain,
    ! [X0: state_type] :
      ( ( v1003(X0)
        | ~ v1007(X0,bitIndex4)
        | ~ v1004(X0) )
      & ( ( v1007(X0,bitIndex4)
          & v1004(X0) )
        | ~ v1003(X0) ) ),
    inference(nnf_transformation,[],[f1181]) ).

tff(f3125,plain,
    ! [X0: state_type] :
      ( ( v1003(X0)
        | ~ v1007(X0,bitIndex4)
        | ~ v1004(X0) )
      & ( ( v1007(X0,bitIndex4)
          & v1004(X0) )
        | ~ v1003(X0) ) ),
    inference(flattening,[],[f3124]) ).

tff(f4910,plain,
    ~ v4(sK391),
    inference(cnf_transformation,[],[f3120]) ).

tff(f4911,plain,
    ! [X0: state_type] :
      ( v995(X0)
      | v4(X0) ),
    inference(cnf_transformation,[],[f2441]) ).

tff(f4912,plain,
    ! [X0: state_type] :
      ( ~ v995(X0)
      | ~ v996(X0) ),
    inference(cnf_transformation,[],[f2442]) ).

tff(f4913,plain,
    ! [X0: state_type] :
      ( v996(X0)
      | ~ v1010(X0)
      | ~ v998(X0) ),
    inference(cnf_transformation,[],[f2444]) ).

tff(f4915,plain,
    ! [X0: state_type] :
      ( v1010(X0)
      | ~ v1000(X0,bitIndex1) ),
    inference(cnf_transformation,[],[f2445]) ).

tff(f4916,plain,
    ! [X0: state_type] :
      ( v999(X0)
      | v998(X0) ),
    inference(cnf_transformation,[],[f2446]) ).

tff(f4917,plain,
    ! [X0: state_type] :
      ( v1000(X0,bitIndex0)
      | ~ v999(X0) ),
    inference(cnf_transformation,[],[f2447]) ).

tff(f4919,plain,
    ! [X0: state_type] :
      ( v1001(X0)
      | ~ v1000(X0,bitIndex0) ),
    inference(cnf_transformation,[],[f3121]) ).

tff(f4921,plain,
    ! [X0: state_type] : v1000(X0,bitIndex1),
    inference(cnf_transformation,[],[f1179]) ).

tff(f4922,plain,
    ! [X0: state_type] :
      ( v1003(X0)
      | ~ v1001(X0) ),
    inference(cnf_transformation,[],[f3123]) ).

tff(f4926,plain,
    ! [X0: state_type] :
      ( v1007(X0,bitIndex4)
      | ~ v1003(X0) ),
    inference(cnf_transformation,[],[f3125]) ).

tff(f4942,plain,
    ! [X0: state_type] : ~ v1007(X0,bitIndex4),
    inference(cnf_transformation,[],[f1187]) ).

cnf(c_96,negated_conjecture,
    ~ v4(sK391),
    inference(cnf_transformation,[],[f4910]) ).

cnf(c_98,plain,
    ( v995(X0_13)
    | v4(X0_13) ),
    inference(cnf_transformation,[],[f4911]) ).

cnf(c_99,plain,
    ( ~ v996(X0_13)
    | ~ v995(X0_13) ),
    inference(cnf_transformation,[],[f4912]) ).

cnf(c_100,plain,
    ( ~ v998(X0_13)
    | ~ v1010(X0_13)
    | v996(X0_13) ),
    inference(cnf_transformation,[],[f4913]) ).

cnf(c_101,plain,
    ( ~ v1000(X0_13,bitIndex1)
    | v1010(X0_13) ),
    inference(cnf_transformation,[],[f4915]) ).

cnf(c_103,plain,
    ( v999(X0_13)
    | v998(X0_13) ),
    inference(cnf_transformation,[],[f4916]) ).

cnf(c_105,plain,
    ( ~ v999(X0_13)
    | v1000(X0_13,bitIndex0) ),
    inference(cnf_transformation,[],[f4917]) ).

cnf(c_107,plain,
    ( ~ v1000(X0_13,bitIndex0)
    | v1001(X0_13) ),
    inference(cnf_transformation,[],[f4919]) ).

cnf(c_108,plain,
    v1000(X0_13,bitIndex1),
    inference(cnf_transformation,[],[f4921]) ).

cnf(c_111,plain,
    ( ~ v1001(X0_13)
    | v1003(X0_13) ),
    inference(cnf_transformation,[],[f4922]) ).

cnf(c_113,plain,
    ( ~ v1003(X0_13)
    | v1007(X0_13,bitIndex4) ),
    inference(cnf_transformation,[],[f4926]) ).

cnf(c_129,plain,
    ~ v1007(X0_13,bitIndex4),
    inference(cnf_transformation,[],[f4942]) ).

cnf(c_6936,plain,
    v4(X0_13),
    inference(global_subsumption_just,[status(thm)],[c_98,c_108,c_129,c_103,c_98,c_111,c_113,c_107,c_105,c_101,c_99,c_100]) ).

cnf(c_19524,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_96,c_6936]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11  % Problem  : HWV093_1 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.01/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n022.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Fri May  3 00:44:12 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.16/0.44  Running first-order theorem proving
% 0.16/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 9.57/2.12  % SZS status Started for theBenchmark.p
% 9.57/2.12  % SZS status Theorem for theBenchmark.p
% 9.57/2.12  
% 9.57/2.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 9.57/2.12  
% 9.57/2.12  ------  iProver source info
% 9.57/2.12  
% 9.57/2.12  git: date: 2024-05-02 19:28:25 +0000
% 9.57/2.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 9.57/2.12  git: non_committed_changes: false
% 9.57/2.12  
% 9.57/2.12  ------ Parsing...
% 9.57/2.12  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 9.57/2.12  
% 9.57/2.12  
% 9.57/2.12  ------ Preprocessing...
% 9.57/2.12  
% 9.57/2.12  % SZS status Theorem for theBenchmark.p
% 9.57/2.12  
% 9.57/2.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.57/2.12  
% 9.57/2.13  
%------------------------------------------------------------------------------