TSTP Solution File: HWV095+1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : HWV095+1 : TPTP v8.1.2. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 02:27:01 EDT 2024

% Result   : Theorem 7.70s 1.50s
% Output   : CNFRefutation 7.70s
% 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(f35,conjecture,
    ! [X1] :
      ( reachableState(X1)
     => v4(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssertion) ).

fof(f36,negated_conjecture,
    ~ ! [X1] :
        ( reachableState(X1)
       => v4(X1) ),
    inference(negated_conjecture,[],[f35]) ).

fof(f37,axiom,
    ! [X1] :
      ( ~ v4(X1)
    <=> v995(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_113) ).

fof(f38,axiom,
    ! [X1] :
      ( ~ v995(X1)
    <=> v996(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_112) ).

fof(f39,axiom,
    ! [X1] :
      ( v996(X1)
    <=> ( v1010(X1)
        & v998(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorEqualRangesSingleBits_170) ).

fof(f40,axiom,
    ! [X1] :
      ( v1010(X1)
    <=> ( v1000(X1,bitIndex1)
        | v1000(X1,bitIndex0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_80) ).

fof(f41,axiom,
    ! [X1] :
      ( ~ v998(X1)
    <=> v999(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_111) ).

fof(f42,axiom,
    ! [X1] :
      ( v999(X1)
    <=> ( v1000(X1,bitIndex1)
        & v1000(X1,bitIndex0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_79) ).

fof(f43,axiom,
    ! [X1] :
      ( v1000(X1,bitIndex0)
    <=> v1001(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_245) ).

fof(f44,axiom,
    ! [X1] :
      ( v1000(X1,bitIndex1)
    <=> $true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_244) ).

fof(f45,axiom,
    ! [X1] :
      ( v1001(X1)
    <=> ( v1007(X1,bitIndex5)
        & v1003(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_78) ).

fof(f53,axiom,
    ! [X1] : ~ v1007(X1,bitIndex5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addZeroExtensionConstraint_3) ).

fof(f1159,plain,
    ~ ! [X0] :
        ( reachableState(X0)
       => v4(X0) ),
    inference(rectify,[],[f36]) ).

fof(f1160,plain,
    ! [X0] :
      ( ~ v4(X0)
    <=> v995(X0) ),
    inference(rectify,[],[f37]) ).

fof(f1161,plain,
    ! [X0] :
      ( ~ v995(X0)
    <=> v996(X0) ),
    inference(rectify,[],[f38]) ).

fof(f1162,plain,
    ! [X0] :
      ( v996(X0)
    <=> ( v1010(X0)
        & v998(X0) ) ),
    inference(rectify,[],[f39]) ).

fof(f1163,plain,
    ! [X0] :
      ( v1010(X0)
    <=> ( v1000(X0,bitIndex1)
        | v1000(X0,bitIndex0) ) ),
    inference(rectify,[],[f40]) ).

fof(f1164,plain,
    ! [X0] :
      ( ~ v998(X0)
    <=> v999(X0) ),
    inference(rectify,[],[f41]) ).

fof(f1165,plain,
    ! [X0] :
      ( v999(X0)
    <=> ( v1000(X0,bitIndex1)
        & v1000(X0,bitIndex0) ) ),
    inference(rectify,[],[f42]) ).

fof(f1166,plain,
    ! [X0] :
      ( v1000(X0,bitIndex0)
    <=> v1001(X0) ),
    inference(rectify,[],[f43]) ).

fof(f1167,plain,
    ! [X0] :
      ( v1000(X0,bitIndex1)
    <=> $true ),
    inference(rectify,[],[f44]) ).

fof(f1168,plain,
    ! [X0] : v1000(X0,bitIndex1),
    inference(true_and_false_elimination,[],[f1167]) ).

fof(f1169,plain,
    ! [X0] :
      ( v1001(X0)
    <=> ( v1007(X0,bitIndex5)
        & v1003(X0) ) ),
    inference(rectify,[],[f45]) ).

fof(f1177,plain,
    ! [X0] : ~ v1007(X0,bitIndex5),
    inference(rectify,[],[f53]) ).

fof(f2248,plain,
    ! [X0] :
      ( ~ v4(X0)
     => v995(X0) ),
    inference(unused_predicate_definition_removal,[],[f1160]) ).

fof(f2249,plain,
    ! [X0] :
      ( v996(X0)
     => ~ v995(X0) ),
    inference(unused_predicate_definition_removal,[],[f1161]) ).

fof(f2250,plain,
    ! [X0] :
      ( ( v1010(X0)
        & v998(X0) )
     => v996(X0) ),
    inference(unused_predicate_definition_removal,[],[f1162]) ).

fof(f2251,plain,
    ! [X0] :
      ( ( v1000(X0,bitIndex1)
        | v1000(X0,bitIndex0) )
     => v1010(X0) ),
    inference(unused_predicate_definition_removal,[],[f1163]) ).

fof(f2252,plain,
    ! [X0] :
      ( ~ v998(X0)
     => v999(X0) ),
    inference(unused_predicate_definition_removal,[],[f1164]) ).

fof(f2253,plain,
    ! [X0] :
      ( v999(X0)
     => ( v1000(X0,bitIndex1)
        & v1000(X0,bitIndex0) ) ),
    inference(unused_predicate_definition_removal,[],[f1165]) ).

fof(f2429,plain,
    ? [X0] :
      ( ~ v4(X0)
      & reachableState(X0) ),
    inference(ennf_transformation,[],[f1159]) ).

fof(f2430,plain,
    ! [X0] :
      ( v995(X0)
      | v4(X0) ),
    inference(ennf_transformation,[],[f2248]) ).

fof(f2431,plain,
    ! [X0] :
      ( ~ v995(X0)
      | ~ v996(X0) ),
    inference(ennf_transformation,[],[f2249]) ).

fof(f2432,plain,
    ! [X0] :
      ( v996(X0)
      | ~ v1010(X0)
      | ~ v998(X0) ),
    inference(ennf_transformation,[],[f2250]) ).

fof(f2433,plain,
    ! [X0] :
      ( v996(X0)
      | ~ v1010(X0)
      | ~ v998(X0) ),
    inference(flattening,[],[f2432]) ).

fof(f2434,plain,
    ! [X0] :
      ( v1010(X0)
      | ( ~ v1000(X0,bitIndex1)
        & ~ v1000(X0,bitIndex0) ) ),
    inference(ennf_transformation,[],[f2251]) ).

fof(f2435,plain,
    ! [X0] :
      ( v999(X0)
      | v998(X0) ),
    inference(ennf_transformation,[],[f2252]) ).

fof(f2436,plain,
    ! [X0] :
      ( ( v1000(X0,bitIndex1)
        & v1000(X0,bitIndex0) )
      | ~ v999(X0) ),
    inference(ennf_transformation,[],[f2253]) ).

fof(f3108,plain,
    ( ? [X0] :
        ( ~ v4(X0)
        & reachableState(X0) )
   => ( ~ v4(sK391)
      & reachableState(sK391) ) ),
    introduced(choice_axiom,[]) ).

fof(f3109,plain,
    ( ~ v4(sK391)
    & reachableState(sK391) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK391])],[f2429,f3108]) ).

fof(f3110,plain,
    ! [X0] :
      ( ( v1000(X0,bitIndex0)
        | ~ v1001(X0) )
      & ( v1001(X0)
        | ~ v1000(X0,bitIndex0) ) ),
    inference(nnf_transformation,[],[f1166]) ).

fof(f3111,plain,
    ! [X0] :
      ( ( v1001(X0)
        | ~ v1007(X0,bitIndex5)
        | ~ v1003(X0) )
      & ( ( v1007(X0,bitIndex5)
          & v1003(X0) )
        | ~ v1001(X0) ) ),
    inference(nnf_transformation,[],[f1169]) ).

fof(f3112,plain,
    ! [X0] :
      ( ( v1001(X0)
        | ~ v1007(X0,bitIndex5)
        | ~ v1003(X0) )
      & ( ( v1007(X0,bitIndex5)
          & v1003(X0) )
        | ~ v1001(X0) ) ),
    inference(flattening,[],[f3111]) ).

fof(f4888,plain,
    ~ v4(sK391),
    inference(cnf_transformation,[],[f3109]) ).

fof(f4889,plain,
    ! [X0] :
      ( v995(X0)
      | v4(X0) ),
    inference(cnf_transformation,[],[f2430]) ).

fof(f4890,plain,
    ! [X0] :
      ( ~ v995(X0)
      | ~ v996(X0) ),
    inference(cnf_transformation,[],[f2431]) ).

fof(f4891,plain,
    ! [X0] :
      ( v996(X0)
      | ~ v1010(X0)
      | ~ v998(X0) ),
    inference(cnf_transformation,[],[f2433]) ).

fof(f4893,plain,
    ! [X0] :
      ( v1010(X0)
      | ~ v1000(X0,bitIndex1) ),
    inference(cnf_transformation,[],[f2434]) ).

fof(f4894,plain,
    ! [X0] :
      ( v999(X0)
      | v998(X0) ),
    inference(cnf_transformation,[],[f2435]) ).

fof(f4895,plain,
    ! [X0] :
      ( v1000(X0,bitIndex0)
      | ~ v999(X0) ),
    inference(cnf_transformation,[],[f2436]) ).

fof(f4897,plain,
    ! [X0] :
      ( v1001(X0)
      | ~ v1000(X0,bitIndex0) ),
    inference(cnf_transformation,[],[f3110]) ).

fof(f4899,plain,
    ! [X0] : v1000(X0,bitIndex1),
    inference(cnf_transformation,[],[f1168]) ).

fof(f4901,plain,
    ! [X0] :
      ( v1007(X0,bitIndex5)
      | ~ v1001(X0) ),
    inference(cnf_transformation,[],[f3112]) ).

fof(f4921,plain,
    ! [X0] : ~ v1007(X0,bitIndex5),
    inference(cnf_transformation,[],[f1177]) ).

cnf(c_85,negated_conjecture,
    ~ v4(sK391),
    inference(cnf_transformation,[],[f4888]) ).

cnf(c_87,plain,
    ( v4(X0)
    | v995(X0) ),
    inference(cnf_transformation,[],[f4889]) ).

cnf(c_88,plain,
    ( ~ v995(X0)
    | ~ v996(X0) ),
    inference(cnf_transformation,[],[f4890]) ).

cnf(c_89,plain,
    ( ~ v1010(X0)
    | ~ v998(X0)
    | v996(X0) ),
    inference(cnf_transformation,[],[f4891]) ).

cnf(c_90,plain,
    ( ~ v1000(X0,bitIndex1)
    | v1010(X0) ),
    inference(cnf_transformation,[],[f4893]) ).

cnf(c_92,plain,
    ( v998(X0)
    | v999(X0) ),
    inference(cnf_transformation,[],[f4894]) ).

cnf(c_94,plain,
    ( ~ v999(X0)
    | v1000(X0,bitIndex0) ),
    inference(cnf_transformation,[],[f4895]) ).

cnf(c_96,plain,
    ( ~ v1000(X0,bitIndex0)
    | v1001(X0) ),
    inference(cnf_transformation,[],[f4897]) ).

cnf(c_97,plain,
    v1000(X0,bitIndex1),
    inference(cnf_transformation,[],[f4899]) ).

cnf(c_99,plain,
    ( ~ v1001(X0)
    | v1007(X0,bitIndex5) ),
    inference(cnf_transformation,[],[f4901]) ).

cnf(c_119,plain,
    ~ v1007(X0,bitIndex5),
    inference(cnf_transformation,[],[f4921]) ).

cnf(c_10008,plain,
    v1010(X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_90,c_97]) ).

cnf(c_10021,plain,
    ~ v1001(X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_99,c_119]) ).

cnf(c_10022,plain,
    ~ v1000(X0,bitIndex0),
    inference(backward_subsumption_resolution,[status(thm)],[c_96,c_10021]) ).

cnf(c_10023,plain,
    ~ v999(X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_94,c_10022]) ).

cnf(c_10024,plain,
    v998(X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_92,c_10023]) ).

cnf(c_14758,plain,
    v996(X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_89,c_10024,c_10008]) ).

cnf(c_14759,plain,
    ~ v995(X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_88,c_14758]) ).

cnf(c_14760,plain,
    v4(X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_87,c_14759]) ).

cnf(c_14761,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_85,c_14760]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08  % Problem  : HWV095+1 : TPTP v8.1.2. Released v6.1.0.
% 0.05/0.09  % Command  : run_iprover %s %d THM
% 0.09/0.27  % Computer : n032.cluster.edu
% 0.09/0.27  % Model    : x86_64 x86_64
% 0.09/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27  % Memory   : 8042.1875MB
% 0.09/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Fri May  3 01:00:39 EDT 2024
% 0.09/0.28  % CPUTime  : 
% 0.13/0.36  Running first-order theorem proving
% 0.13/0.36  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
% 7.70/1.50  % SZS status Started for theBenchmark.p
% 7.70/1.50  % SZS status Theorem for theBenchmark.p
% 7.70/1.50  
% 7.70/1.50  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.70/1.50  
% 7.70/1.50  ------  iProver source info
% 7.70/1.50  
% 7.70/1.50  git: date: 2024-05-02 19:28:25 +0000
% 7.70/1.50  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.70/1.50  git: non_committed_changes: false
% 7.70/1.50  
% 7.70/1.50  ------ Parsing...
% 7.70/1.50  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_eq
% 7.70/1.50  
% 7.70/1.50  
% 7.70/1.50  ------ Preprocessing...
% 7.70/1.50  
% 7.70/1.50  % SZS status Theorem for theBenchmark.p
% 7.70/1.50  
% 7.70/1.50  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.70/1.50  
% 7.70/1.50  
%------------------------------------------------------------------------------