↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : HWV093+1 : TPTP v9.3.1. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:42:57 PM UTC 2026

% Result   : Theorem 2.47s 1.73s
% Output   : CNFRefutation 2.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   62 (  17 unt;   0 def)
%            Number of atoms       :  130 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  119 (  51   ~;  37   |;  14   &)
%                                         (   9 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            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   :   58 (   0 sgn  57   !;   1   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,conjecture,
    ! [X0] :
      ( reachableState(X0)
     => v4(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssertion) ).

fof(f36,negated_conjecture,
    ~ ! [X0] :
        ( reachableState(X0)
       => v4(X0) ),
    inference(negated_conjecture,[status(cth)],[f35]) ).

fof(f37,axiom,
    ! [X0] :
      ( ~ v4(X0)
    <=> v995(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_113) ).

fof(f38,axiom,
    ! [X0] :
      ( ~ v995(X0)
    <=> v996(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_112) ).

fof(f39,axiom,
    ! [X0] :
      ( v996(X0)
    <=> ( v1010(X0)
        & v998(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorEqualRangesSingleBits_170) ).

fof(f40,axiom,
    ! [X0] :
      ( v1010(X0)
    <=> ( v1000(X0,bitIndex1)
        | v1000(X0,bitIndex0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_80) ).

fof(f41,axiom,
    ! [X0] :
      ( ~ v998(X0)
    <=> v999(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_111) ).

fof(f42,axiom,
    ! [X0] :
      ( v999(X0)
    <=> ( v1000(X0,bitIndex1)
        & v1000(X0,bitIndex0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_79) ).

fof(f43,axiom,
    ! [X0] :
      ( v1000(X0,bitIndex0)
    <=> v1001(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssignment_245) ).

fof(f44,axiom,
    ! [X0] :
      ( v1000(X0,bitIndex1)
    <=> $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssignment_244) ).

fof(f45,axiom,
    ! [X0] :
      ( v1001(X0)
    <=> ( v1007(X0,bitIndex5)
        & v1003(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_78) ).

fof(f53,axiom,
    ! [X0] : ~ v1007(X0,bitIndex5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addZeroExtensionConstraint_3) ).

fof(f1158,plain,
    ! [X0] : v1000(X0,bitIndex1),
    inference(true_and_false_elimination,[],[f44]) ).

fof(f1381,plain,
    ! [X0] :
      ( ~ v4(X0)
     => v995(X0) ),
    inference(unused_predicate_definition_removal,[],[f37]) ).

fof(f1382,plain,
    ! [X0] :
      ( v996(X0)
     => ~ v995(X0) ),
    inference(unused_predicate_definition_removal,[],[f38]) ).

fof(f1383,plain,
    ! [X0] :
      ( ( v1010(X0)
        & v998(X0) )
     => v996(X0) ),
    inference(unused_predicate_definition_removal,[],[f39]) ).

fof(f1384,plain,
    ! [X0] :
      ( ~ v998(X0)
     => v999(X0) ),
    inference(unused_predicate_definition_removal,[],[f41]) ).

fof(f1385,plain,
    ! [X0] :
      ( v999(X0)
     => ( v1000(X0,bitIndex1)
        & v1000(X0,bitIndex0) ) ),
    inference(unused_predicate_definition_removal,[],[f42]) ).

fof(f1386,plain,
    ! [X0] :
      ( ( v1000(X0,bitIndex1)
        | v1000(X0,bitIndex0) )
     => v1010(X0) ),
    inference(unused_predicate_definition_removal,[],[f40]) ).

fof(f1562,plain,
    ? [X0] :
      ( reachableState(X0)
      & ~ v4(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f1563,plain,
    ! [X0] :
      ( v4(X0)
      | v995(X0) ),
    inference(ennf_transformation,[],[f1381]) ).

fof(f1564,plain,
    ! [X0] :
      ( ~ v996(X0)
      | ~ v995(X0) ),
    inference(ennf_transformation,[],[f1382]) ).

fof(f1565,plain,
    ! [X0] :
      ( ~ v1010(X0)
      | ~ v998(X0)
      | v996(X0) ),
    inference(ennf_transformation,[],[f1383]) ).

fof(f1566,plain,
    ! [X0] :
      ( ~ v1010(X0)
      | ~ v998(X0)
      | v996(X0) ),
    inference(flattening,[],[f1565]) ).

fof(f1567,plain,
    ! [X0] :
      ( ( ~ v1000(X0,bitIndex1)
        & ~ v1000(X0,bitIndex0) )
      | v1010(X0) ),
    inference(ennf_transformation,[],[f1386]) ).

fof(f1568,plain,
    ! [X0] :
      ( v998(X0)
      | v999(X0) ),
    inference(ennf_transformation,[],[f1384]) ).

fof(f1569,plain,
    ! [X0] :
      ( ~ v999(X0)
      | ( v1000(X0,bitIndex1)
        & v1000(X0,bitIndex0) ) ),
    inference(ennf_transformation,[],[f1385]) ).

fof(f2241,plain,
    ( reachableState(sK391)
    & ~ v4(sK391) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK391]),skolemize(X0,sK391)],[f1562]) ).

fof(f2242,plain,
    ! [X0] :
      ( ( ~ v1000(X0,bitIndex0)
        | v1001(X0) )
      & ( ~ v1001(X0)
        | v1000(X0,bitIndex0) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f2243,plain,
    ! [X0] :
      ( ( ~ v1001(X0)
        | ( v1007(X0,bitIndex5)
          & v1003(X0) ) )
      & ( ~ v1007(X0,bitIndex5)
        | ~ v1003(X0)
        | v1001(X0) ) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f2244,plain,
    ! [X0] :
      ( ( ~ v1001(X0)
        | ( v1007(X0,bitIndex5)
          & v1003(X0) ) )
      & ( ~ v1007(X0,bitIndex5)
        | ~ v1003(X0)
        | v1001(X0) ) ),
    inference(flattening,[],[f2243]) ).

fof(f4020,plain,
    ~ v4(sK391),
    inference(cnf_transformation,[],[f2241]) ).

fof(f4021,plain,
    ! [X0] :
      ( v4(X0)
      | v995(X0) ),
    inference(cnf_transformation,[],[f1563]) ).

fof(f4022,plain,
    ! [X0] :
      ( ~ v996(X0)
      | ~ v995(X0) ),
    inference(cnf_transformation,[],[f1564]) ).

fof(f4023,plain,
    ! [X0] :
      ( ~ v1010(X0)
      | ~ v998(X0)
      | v996(X0) ),
    inference(cnf_transformation,[],[f1566]) ).

fof(f4024,plain,
    ! [X0] :
      ( ~ v1000(X0,bitIndex1)
      | v1010(X0) ),
    inference(cnf_transformation,[],[f1567]) ).

fof(f4026,plain,
    ! [X0] :
      ( v998(X0)
      | v999(X0) ),
    inference(cnf_transformation,[],[f1568]) ).

fof(f4028,plain,
    ! [X0] :
      ( ~ v999(X0)
      | v1000(X0,bitIndex0) ),
    inference(cnf_transformation,[],[f1569]) ).

fof(f4029,plain,
    ! [X0] :
      ( ~ v1000(X0,bitIndex0)
      | v1001(X0) ),
    inference(cnf_transformation,[],[f2242]) ).

fof(f4031,plain,
    ! [X0] : v1000(X0,bitIndex1),
    inference(cnf_transformation,[],[f1158]) ).

fof(f4032,plain,
    ! [X0] :
      ( ~ v1001(X0)
      | v1007(X0,bitIndex5) ),
    inference(cnf_transformation,[],[f2244]) ).

fof(f4053,plain,
    ! [X0] : ~ v1007(X0,bitIndex5),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_85,negated_conjecture,
    ~ v4(sK391),
    inference(cnf_transformation,[],[f4020]) ).

tcf(c_87,plain,
    ! [X0: $i] :
      ( v995(X0)
      | v4(X0) ),
    inference(cnf_transformation,[],[f4021]) ).

tcf(c_88,plain,
    ! [X0: $i] :
      ( ~ v996(X0)
      | ~ v995(X0) ),
    inference(cnf_transformation,[],[f4022]) ).

tcf(c_89,plain,
    ! [X0: $i] :
      ( v996(X0)
      | ~ v1010(X0)
      | ~ v998(X0) ),
    inference(cnf_transformation,[],[f4023]) ).

tcf(c_91,plain,
    ! [X0: $i] :
      ( v1010(X0)
      | ~ v1000(X0,bitIndex1) ),
    inference(cnf_transformation,[],[f4024]) ).

tcf(c_92,plain,
    ! [X0: $i] :
      ( v999(X0)
      | v998(X0) ),
    inference(cnf_transformation,[],[f4026]) ).

tcf(c_93,plain,
    ! [X0: $i] :
      ( v1000(X0,bitIndex0)
      | ~ v999(X0) ),
    inference(cnf_transformation,[],[f4028]) ).

tcf(c_96,plain,
    ! [X0: $i] :
      ( v1001(X0)
      | ~ v1000(X0,bitIndex0) ),
    inference(cnf_transformation,[],[f4029]) ).

tcf(c_97,plain,
    ! [X0: $i] : v1000(X0,bitIndex1),
    inference(cnf_transformation,[],[f4031]) ).

tcf(c_100,plain,
    ! [X0: $i] :
      ( v1007(X0,bitIndex5)
      | ~ v1001(X0) ),
    inference(cnf_transformation,[],[f4032]) ).

tcf(c_119,plain,
    ! [X0: $i] : ~ v1007(X0,bitIndex5),
    inference(cnf_transformation,[],[f4053]) ).

tcf(c_10012,plain,
    ! [X0: $i] : v1010(X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_91,c_97]) ).

tcf(c_10025,plain,
    ! [X0: $i] : ~ v1001(X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_100,c_119]) ).

tcf(c_10026,plain,
    ! [X0: $i] : ~ v1000(X0,bitIndex0),
    inference(backward_subsumption_resolution,[status(thm)],[c_96,c_10025]) ).

tcf(c_10027,plain,
    ! [X0: $i] : ~ v999(X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_93,c_10026]) ).

tcf(c_10028,plain,
    ! [X0: $i] : v998(X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_92,c_10027]) ).

tcf(c_14782,plain,
    ! [X0: $i] : v996(X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_89,c_10012,c_10028]) ).

tcf(c_14783,plain,
    ! [X0: $i] : ~ v995(X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_88,c_14782]) ).

tcf(c_14784,plain,
    ! [X0: $i] : v4(X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_87,c_14783]) ).

tcf(c_14785,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_85,c_14784]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HWV093+1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38  % Computer : n007.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Wed Sep 23 17:02:16 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43  
% 0.10/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43  
% 0.10/0.43  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 2.47/1.73  % SZS status Started for theBenchmark.p
% 2.47/1.73  % SZS status Theorem for theBenchmark.p
% 2.47/1.73  
% 2.47/1.73  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.47/1.73  
% 2.47/1.73  % ------  iProver source info
% 2.47/1.73  
% 2.47/1.73  % git: date: 2026-07-19 20:42:38 +0200
% 2.47/1.73  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.47/1.73  % git: non_committed_changes: false
% 2.47/1.73  
% 2.47/1.73  % ------ Parsing...
% 2.47/1.73  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_eq
% 2.47/1.73  % 
% 2.47/1.73  
% 2.47/1.73  % ------ Preprocessing...% 
% 2.47/1.73  
% 2.47/1.73  % SZS status Theorem for theBenchmark.p
% 2.47/1.73  
% 2.47/1.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.47/1.73  
% 2.47/1.73  
%------------------------------------------------------------------------------