↑ Up

SInE---0.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM614+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n134.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.625MB
% OS       : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan  8 15:22:00 EST 2018

% Result   : Theorem 0.62s
% Output   : CNFRefutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (  12 unt;   0 def)
%            Number of atoms       :  165 (   5 equ)
%            Maximal formula atoms :   39 (   6 avg)
%            Number of connectives :  228 (  90   ~; 100   |;  35   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-3 aty)
%            Number of variables   :   33 (   0 sgn  24   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(11,axiom,
    ( aSet0(xO)
    & equal(xO,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
    file('/export/starexec/sandbox/tmp/tmpshYwMp/sel_theBenchmark.p_1',m__4891) ).

fof(19,conjecture,
    aElementOf0(xP,slbdtsldtrb0(xO,xk)),
    file('/export/starexec/sandbox/tmp/tmpshYwMp/sel_theBenchmark.p_1',m__) ).

fof(20,axiom,
    ( aElementOf0(xk,szNzAzT0)
    & equal(szszuzczcdt0(xk),xK) ),
    file('/export/starexec/sandbox/tmp/tmpshYwMp/sel_theBenchmark.p_1',m__3533) ).

fof(55,axiom,
    ! [X1,X2] :
      ( ( aSet0(X1)
        & aElementOf0(X2,szNzAzT0) )
     => ! [X3] :
          ( equal(X3,slbdtsldtrb0(X1,X2))
        <=> ( aSet0(X3)
            & ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( aSubsetOf0(X4,X1)
                  & equal(sbrdtbr0(X4),X2) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmpshYwMp/sel_theBenchmark.p_1',mDefSel) ).

fof(80,axiom,
    equal(sbrdtbr0(xP),xk),
    file('/export/starexec/sandbox/tmp/tmpshYwMp/sel_theBenchmark.p_1',m__5217) ).

fof(107,axiom,
    aSubsetOf0(xP,xO),
    file('/export/starexec/sandbox/tmp/tmpshYwMp/sel_theBenchmark.p_1',m__5208) ).

fof(111,negated_conjecture,
    ~ aElementOf0(xP,slbdtsldtrb0(xO,xk)),
    inference(assume_negation,[status(cth)],[19]) ).

fof(113,negated_conjecture,
    ~ aElementOf0(xP,slbdtsldtrb0(xO,xk)),
    inference(fof_simplification,[status(thm)],[111,theory(equality)]) ).

cnf(177,plain,
    aSet0(xO),
    inference(split_conjunct,[status(thm)],[11]) ).

cnf(209,negated_conjecture,
    ~ aElementOf0(xP,slbdtsldtrb0(xO,xk)),
    inference(split_conjunct,[status(thm)],[113]) ).

cnf(211,plain,
    aElementOf0(xk,szNzAzT0),
    inference(split_conjunct,[status(thm)],[20]) ).

fof(370,plain,
    ! [X1,X2] :
      ( ~ aSet0(X1)
      | ~ aElementOf0(X2,szNzAzT0)
      | ! [X3] :
          ( ( ~ equal(X3,slbdtsldtrb0(X1,X2))
            | ( aSet0(X3)
              & ! [X4] :
                  ( ( ~ aElementOf0(X4,X3)
                    | ( aSubsetOf0(X4,X1)
                      & equal(sbrdtbr0(X4),X2) ) )
                  & ( ~ aSubsetOf0(X4,X1)
                    | ~ equal(sbrdtbr0(X4),X2)
                    | aElementOf0(X4,X3) ) ) ) )
          & ( ~ aSet0(X3)
            | ? [X4] :
                ( ( ~ aElementOf0(X4,X3)
                  | ~ aSubsetOf0(X4,X1)
                  | ~ equal(sbrdtbr0(X4),X2) )
                & ( aElementOf0(X4,X3)
                  | ( aSubsetOf0(X4,X1)
                    & equal(sbrdtbr0(X4),X2) ) ) )
            | equal(X3,slbdtsldtrb0(X1,X2)) ) ) ),
    inference(fof_nnf,[status(thm)],[55]) ).

fof(371,plain,
    ! [X5,X6] :
      ( ~ aSet0(X5)
      | ~ aElementOf0(X6,szNzAzT0)
      | ! [X7] :
          ( ( ~ equal(X7,slbdtsldtrb0(X5,X6))
            | ( aSet0(X7)
              & ! [X8] :
                  ( ( ~ aElementOf0(X8,X7)
                    | ( aSubsetOf0(X8,X5)
                      & equal(sbrdtbr0(X8),X6) ) )
                  & ( ~ aSubsetOf0(X8,X5)
                    | ~ equal(sbrdtbr0(X8),X6)
                    | aElementOf0(X8,X7) ) ) ) )
          & ( ~ aSet0(X7)
            | ? [X9] :
                ( ( ~ aElementOf0(X9,X7)
                  | ~ aSubsetOf0(X9,X5)
                  | ~ equal(sbrdtbr0(X9),X6) )
                & ( aElementOf0(X9,X7)
                  | ( aSubsetOf0(X9,X5)
                    & equal(sbrdtbr0(X9),X6) ) ) )
            | equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
    inference(variable_rename,[status(thm)],[370]) ).

fof(372,plain,
    ! [X5,X6] :
      ( ~ aSet0(X5)
      | ~ aElementOf0(X6,szNzAzT0)
      | ! [X7] :
          ( ( ~ equal(X7,slbdtsldtrb0(X5,X6))
            | ( aSet0(X7)
              & ! [X8] :
                  ( ( ~ aElementOf0(X8,X7)
                    | ( aSubsetOf0(X8,X5)
                      & equal(sbrdtbr0(X8),X6) ) )
                  & ( ~ aSubsetOf0(X8,X5)
                    | ~ equal(sbrdtbr0(X8),X6)
                    | aElementOf0(X8,X7) ) ) ) )
          & ( ~ aSet0(X7)
            | ( ( ~ aElementOf0(esk17_3(X5,X6,X7),X7)
                | ~ aSubsetOf0(esk17_3(X5,X6,X7),X5)
                | ~ equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) )
              & ( aElementOf0(esk17_3(X5,X6,X7),X7)
                | ( aSubsetOf0(esk17_3(X5,X6,X7),X5)
                  & equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) ) ) )
            | equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
    inference(skolemize,[status(esa)],[371]) ).

fof(373,plain,
    ! [X5,X6,X7,X8] :
      ( ( ( ( ( ~ aElementOf0(X8,X7)
              | ( aSubsetOf0(X8,X5)
                & equal(sbrdtbr0(X8),X6) ) )
            & ( ~ aSubsetOf0(X8,X5)
              | ~ equal(sbrdtbr0(X8),X6)
              | aElementOf0(X8,X7) )
            & aSet0(X7) )
          | ~ equal(X7,slbdtsldtrb0(X5,X6)) )
        & ( ~ aSet0(X7)
          | ( ( ~ aElementOf0(esk17_3(X5,X6,X7),X7)
              | ~ aSubsetOf0(esk17_3(X5,X6,X7),X5)
              | ~ equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) )
            & ( aElementOf0(esk17_3(X5,X6,X7),X7)
              | ( aSubsetOf0(esk17_3(X5,X6,X7),X5)
                & equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) ) ) )
          | equal(X7,slbdtsldtrb0(X5,X6)) ) )
      | ~ aSet0(X5)
      | ~ aElementOf0(X6,szNzAzT0) ),
    inference(shift_quantors,[status(thm)],[372]) ).

fof(374,plain,
    ! [X5,X6,X7,X8] :
      ( ( aSubsetOf0(X8,X5)
        | ~ aElementOf0(X8,X7)
        | ~ equal(X7,slbdtsldtrb0(X5,X6))
        | ~ aSet0(X5)
        | ~ aElementOf0(X6,szNzAzT0) )
      & ( equal(sbrdtbr0(X8),X6)
        | ~ aElementOf0(X8,X7)
        | ~ equal(X7,slbdtsldtrb0(X5,X6))
        | ~ aSet0(X5)
        | ~ aElementOf0(X6,szNzAzT0) )
      & ( ~ aSubsetOf0(X8,X5)
        | ~ equal(sbrdtbr0(X8),X6)
        | aElementOf0(X8,X7)
        | ~ equal(X7,slbdtsldtrb0(X5,X6))
        | ~ aSet0(X5)
        | ~ aElementOf0(X6,szNzAzT0) )
      & ( aSet0(X7)
        | ~ equal(X7,slbdtsldtrb0(X5,X6))
        | ~ aSet0(X5)
        | ~ aElementOf0(X6,szNzAzT0) )
      & ( ~ aElementOf0(esk17_3(X5,X6,X7),X7)
        | ~ aSubsetOf0(esk17_3(X5,X6,X7),X5)
        | ~ equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6)
        | ~ aSet0(X7)
        | equal(X7,slbdtsldtrb0(X5,X6))
        | ~ aSet0(X5)
        | ~ aElementOf0(X6,szNzAzT0) )
      & ( aSubsetOf0(esk17_3(X5,X6,X7),X5)
        | aElementOf0(esk17_3(X5,X6,X7),X7)
        | ~ aSet0(X7)
        | equal(X7,slbdtsldtrb0(X5,X6))
        | ~ aSet0(X5)
        | ~ aElementOf0(X6,szNzAzT0) )
      & ( equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6)
        | aElementOf0(esk17_3(X5,X6,X7),X7)
        | ~ aSet0(X7)
        | equal(X7,slbdtsldtrb0(X5,X6))
        | ~ aSet0(X5)
        | ~ aElementOf0(X6,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[373]) ).

cnf(379,plain,
    ( aElementOf0(X4,X3)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aSet0(X2)
    | X3 != slbdtsldtrb0(X2,X1)
    | sbrdtbr0(X4) != X1
    | ~ aSubsetOf0(X4,X2) ),
    inference(split_conjunct,[status(thm)],[374]) ).

cnf(478,plain,
    sbrdtbr0(xP) = xk,
    inference(split_conjunct,[status(thm)],[80]) ).

cnf(564,plain,
    aSubsetOf0(xP,xO),
    inference(split_conjunct,[status(thm)],[107]) ).

cnf(1268,plain,
    ( aElementOf0(X1,slbdtsldtrb0(X2,X3))
    | sbrdtbr0(X1) != X3
    | ~ aSubsetOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X3,szNzAzT0) ),
    inference(er,[status(thm)],[379,theory(equality)]) ).

cnf(18010,negated_conjecture,
    ( sbrdtbr0(xP) != xk
    | ~ aSubsetOf0(xP,xO)
    | ~ aSet0(xO)
    | ~ aElementOf0(xk,szNzAzT0) ),
    inference(spm,[status(thm)],[209,1268,theory(equality)]) ).

cnf(18042,negated_conjecture,
    ( $false
    | ~ aSubsetOf0(xP,xO)
    | ~ aSet0(xO)
    | ~ aElementOf0(xk,szNzAzT0) ),
    inference(rw,[status(thm)],[18010,478,theory(equality)]) ).

cnf(18043,negated_conjecture,
    ( $false
    | $false
    | ~ aSet0(xO)
    | ~ aElementOf0(xk,szNzAzT0) ),
    inference(rw,[status(thm)],[18042,564,theory(equality)]) ).

cnf(18044,negated_conjecture,
    ( $false
    | $false
    | $false
    | ~ aElementOf0(xk,szNzAzT0) ),
    inference(rw,[status(thm)],[18043,177,theory(equality)]) ).

cnf(18045,negated_conjecture,
    ( $false
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[18044,211,theory(equality)]) ).

cnf(18046,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[18045,theory(equality)]) ).

cnf(18047,negated_conjecture,
    $false,
    18046,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM614+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.23  % Computer : n134.star.cs.uiowa.edu
% 0.03/0.23  % Model    : x86_64 x86_64
% 0.03/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23  % Memory   : 32218.625MB
% 0.03/0.23  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23  % CPULimit : 300
% 0.03/0.23  % DateTime : Fri Jan  5 10:41:29 CST 2018
% 0.03/0.24  % CPUTime  : 
% 0.06/0.28  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.28  --creating new selector for []
% 0.62/0.94  -running prover on /export/starexec/sandbox/tmp/tmpshYwMp/sel_theBenchmark.p_1 with time limit 29
% 0.62/0.94  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpshYwMp/sel_theBenchmark.p_1']
% 0.62/0.94  -prover status Theorem
% 0.62/0.94  Problem theBenchmark.p solved in phase 0.
% 0.62/0.94  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.94  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.94  Solved 1 out of 1.
% 0.62/0.94  # Problem is unsatisfiable (or provable), constructing proof object
% 0.62/0.94  # SZS status Theorem
% 0.62/0.94  # SZS output start CNFRefutation.
% See solution above
% 0.62/0.94  # SZS output end CNFRefutation
%------------------------------------------------------------------------------