TSTP Solution File: CSR017+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR017+1 : TPTP v5.0.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art05.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 05:59:55 EST 2010

% Result   : Theorem 0.35s
% Output   : CNFRefutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   88 (  30 unt;   0 def)
%            Number of atoms       :  540 ( 264 equ)
%            Maximal formula atoms :  120 (   6 avg)
%            Number of connectives :  655 ( 203   ~; 306   |; 134   &)
%                                         (  10 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  123 (   3 sgn  81   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(2,axiom,
    ! [X1,X3,X2] :
      ( initiates(X1,X3,X2)
    <=> ( ( X1 = push
          & X3 = forwards
          & ~ happens(pull,X2) )
        | ( X1 = pull
          & X3 = backwards
          & ~ happens(push,X2) )
        | ( X1 = pull
          & X3 = spinning
          & happens(push,X2) ) ) ),
    file('/tmp/tmpqzp9GK/sel_CSR017+1.p_1',initiates_all_defn) ).

fof(6,axiom,
    push != pull,
    file('/tmp/tmpqzp9GK/sel_CSR017+1.p_1',push_not_pull) ).

fof(10,axiom,
    ! [X1,X2] :
      ( happens(X1,X2)
    <=> ( ( X1 = push
          & X2 = n0 )
        | ( X1 = pull
          & X2 = n1 )
        | ( X1 = pull
          & X2 = n2 )
        | ( X1 = push
          & X2 = n2 ) ) ),
    file('/tmp/tmpqzp9GK/sel_CSR017+1.p_1',happens_all_defn) ).

fof(12,axiom,
    ! [X3,X2] :
      ( ( ~ holdsAt(X3,X2)
        & ~ releasedAt(X3,plus(X2,n1))
        & ~ ? [X1] :
              ( happens(X1,X2)
              & initiates(X1,X3,X2) ) )
     => ~ holdsAt(X3,plus(X2,n1)) ),
    file('/tmp/tmpqzp9GK/sel_CSR017+1.p_1',keep_not_holding) ).

fof(13,axiom,
    forwards != spinning,
    file('/tmp/tmpqzp9GK/sel_CSR017+1.p_1',forwards_not_spinning) ).

fof(21,axiom,
    plus(n0,n1) = n1,
    file('/tmp/tmpqzp9GK/sel_CSR017+1.p_1',plus0_1) ).

fof(22,axiom,
    ~ holdsAt(spinning,n0),
    file('/tmp/tmpqzp9GK/sel_CSR017+1.p_1',not_splinning_0) ).

fof(26,conjecture,
    ~ holdsAt(spinning,n1),
    file('/tmp/tmpqzp9GK/sel_CSR017+1.p_1',not_spinning_1) ).

fof(27,axiom,
    ! [X3,X2] : ~ releasedAt(X3,X2),
    file('/tmp/tmpqzp9GK/sel_CSR017+1.p_1',not_releasedAt) ).

fof(28,axiom,
    ! [X4,X5] :
      ( less(X4,X5)
    <=> ( ~ less(X5,X4)
        & X5 != X4 ) ),
    file('/tmp/tmpqzp9GK/sel_CSR017+1.p_1',less_property) ).

fof(29,axiom,
    ! [X4,X5] : plus(X4,X5) = plus(X5,X4),
    file('/tmp/tmpqzp9GK/sel_CSR017+1.p_1',symmetry_of_plus) ).

fof(30,axiom,
    ! [X4,X5] :
      ( less_or_equal(X4,X5)
    <=> ( less(X4,X5)
        | X4 = X5 ) ),
    file('/tmp/tmpqzp9GK/sel_CSR017+1.p_1',less_or_equal) ).

fof(39,axiom,
    ! [X4] :
      ( less(X4,n1)
    <=> less_or_equal(X4,n0) ),
    file('/tmp/tmpqzp9GK/sel_CSR017+1.p_1',less1) ).

fof(40,axiom,
    ! [X4] :
      ( less(X4,n2)
    <=> less_or_equal(X4,n1) ),
    file('/tmp/tmpqzp9GK/sel_CSR017+1.p_1',less2) ).

fof(42,negated_conjecture,
    ~ ~ holdsAt(spinning,n1),
    inference(assume_negation,[status(cth)],[26]) ).

fof(44,plain,
    ! [X1,X3,X2] :
      ( initiates(X1,X3,X2)
    <=> ( ( X1 = push
          & X3 = forwards
          & ~ happens(pull,X2) )
        | ( X1 = pull
          & X3 = backwards
          & ~ happens(push,X2) )
        | ( X1 = pull
          & X3 = spinning
          & happens(push,X2) ) ) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(48,plain,
    ! [X3,X2] :
      ( ( ~ holdsAt(X3,X2)
        & ~ releasedAt(X3,plus(X2,n1))
        & ~ ? [X1] :
              ( happens(X1,X2)
              & initiates(X1,X3,X2) ) )
     => ~ holdsAt(X3,plus(X2,n1)) ),
    inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).

fof(50,plain,
    ~ holdsAt(spinning,n0),
    inference(fof_simplification,[status(thm)],[22,theory(equality)]) ).

fof(51,negated_conjecture,
    holdsAt(spinning,n1),
    inference(fof_simplification,[status(thm)],[42,theory(equality)]) ).

fof(52,plain,
    ! [X3,X2] : ~ releasedAt(X3,X2),
    inference(fof_simplification,[status(thm)],[27,theory(equality)]) ).

fof(53,plain,
    ! [X4,X5] :
      ( less(X4,X5)
    <=> ( ~ less(X5,X4)
        & X5 != X4 ) ),
    inference(fof_simplification,[status(thm)],[28,theory(equality)]) ).

fof(55,plain,
    ! [X1,X3,X2] :
      ( epred1_3(X2,X3,X1)
    <=> ( ( X1 = push
          & X3 = forwards
          & ~ happens(pull,X2) )
        | ( X1 = pull
          & X3 = backwards
          & ~ happens(push,X2) )
        | ( X1 = pull
          & X3 = spinning
          & happens(push,X2) ) ) ),
    introduced(definition) ).

fof(58,plain,
    ! [X1,X3,X2] :
      ( initiates(X1,X3,X2)
    <=> epred1_3(X2,X3,X1) ),
    inference(apply_def,[status(esa)],[44,55,theory(equality)]) ).

fof(64,plain,
    ! [X1,X3,X2] :
      ( ( ~ initiates(X1,X3,X2)
        | epred1_3(X2,X3,X1) )
      & ( ~ epred1_3(X2,X3,X1)
        | initiates(X1,X3,X2) ) ),
    inference(fof_nnf,[status(thm)],[58]) ).

fof(65,plain,
    ! [X4,X5,X6] :
      ( ( ~ initiates(X4,X5,X6)
        | epred1_3(X6,X5,X4) )
      & ( ~ epred1_3(X6,X5,X4)
        | initiates(X4,X5,X6) ) ),
    inference(variable_rename,[status(thm)],[64]) ).

cnf(67,plain,
    ( epred1_3(X1,X2,X3)
    | ~ initiates(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[65]) ).

cnf(74,plain,
    push != pull,
    inference(split_conjunct,[status(thm)],[6]) ).

fof(92,plain,
    ! [X1,X2] :
      ( ( ~ happens(X1,X2)
        | ( X1 = push
          & X2 = n0 )
        | ( X1 = pull
          & X2 = n1 )
        | ( X1 = pull
          & X2 = n2 )
        | ( X1 = push
          & X2 = n2 ) )
      & ( ( ( X1 != push
            | X2 != n0 )
          & ( X1 != pull
            | X2 != n1 )
          & ( X1 != pull
            | X2 != n2 )
          & ( X1 != push
            | X2 != n2 ) )
        | happens(X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[10]) ).

fof(93,plain,
    ! [X3,X4] :
      ( ( ~ happens(X3,X4)
        | ( X3 = push
          & X4 = n0 )
        | ( X3 = pull
          & X4 = n1 )
        | ( X3 = pull
          & X4 = n2 )
        | ( X3 = push
          & X4 = n2 ) )
      & ( ( ( X3 != push
            | X4 != n0 )
          & ( X3 != pull
            | X4 != n1 )
          & ( X3 != pull
            | X4 != n2 )
          & ( X3 != push
            | X4 != n2 ) )
        | happens(X3,X4) ) ),
    inference(variable_rename,[status(thm)],[92]) ).

fof(94,plain,
    ! [X3,X4] :
      ( ( X3 = push
        | X3 = pull
        | X3 = pull
        | X3 = push
        | ~ happens(X3,X4) )
      & ( X4 = n2
        | X3 = pull
        | X3 = pull
        | X3 = push
        | ~ happens(X3,X4) )
      & ( X3 = push
        | X4 = n2
        | X3 = pull
        | X3 = push
        | ~ happens(X3,X4) )
      & ( X4 = n2
        | X4 = n2
        | X3 = pull
        | X3 = push
        | ~ happens(X3,X4) )
      & ( X3 = push
        | X3 = pull
        | X4 = n1
        | X3 = push
        | ~ happens(X3,X4) )
      & ( X4 = n2
        | X3 = pull
        | X4 = n1
        | X3 = push
        | ~ happens(X3,X4) )
      & ( X3 = push
        | X4 = n2
        | X4 = n1
        | X3 = push
        | ~ happens(X3,X4) )
      & ( X4 = n2
        | X4 = n2
        | X4 = n1
        | X3 = push
        | ~ happens(X3,X4) )
      & ( X3 = push
        | X3 = pull
        | X3 = pull
        | X4 = n0
        | ~ happens(X3,X4) )
      & ( X4 = n2
        | X3 = pull
        | X3 = pull
        | X4 = n0
        | ~ happens(X3,X4) )
      & ( X3 = push
        | X4 = n2
        | X3 = pull
        | X4 = n0
        | ~ happens(X3,X4) )
      & ( X4 = n2
        | X4 = n2
        | X3 = pull
        | X4 = n0
        | ~ happens(X3,X4) )
      & ( X3 = push
        | X3 = pull
        | X4 = n1
        | X4 = n0
        | ~ happens(X3,X4) )
      & ( X4 = n2
        | X3 = pull
        | X4 = n1
        | X4 = n0
        | ~ happens(X3,X4) )
      & ( X3 = push
        | X4 = n2
        | X4 = n1
        | X4 = n0
        | ~ happens(X3,X4) )
      & ( X4 = n2
        | X4 = n2
        | X4 = n1
        | X4 = n0
        | ~ happens(X3,X4) )
      & ( X3 != push
        | X4 != n0
        | happens(X3,X4) )
      & ( X3 != pull
        | X4 != n1
        | happens(X3,X4) )
      & ( X3 != pull
        | X4 != n2
        | happens(X3,X4) )
      & ( X3 != push
        | X4 != n2
        | happens(X3,X4) ) ),
    inference(distribute,[status(thm)],[93]) ).

cnf(107,plain,
    ( X1 = push
    | X2 = n1
    | X2 = n2
    | X2 = n2
    | ~ happens(X1,X2) ),
    inference(split_conjunct,[status(thm)],[94]) ).

fof(118,plain,
    ! [X3,X2] :
      ( holdsAt(X3,X2)
      | releasedAt(X3,plus(X2,n1))
      | ? [X1] :
          ( happens(X1,X2)
          & initiates(X1,X3,X2) )
      | ~ holdsAt(X3,plus(X2,n1)) ),
    inference(fof_nnf,[status(thm)],[48]) ).

fof(119,plain,
    ! [X4,X5] :
      ( holdsAt(X4,X5)
      | releasedAt(X4,plus(X5,n1))
      | ? [X6] :
          ( happens(X6,X5)
          & initiates(X6,X4,X5) )
      | ~ holdsAt(X4,plus(X5,n1)) ),
    inference(variable_rename,[status(thm)],[118]) ).

fof(120,plain,
    ! [X4,X5] :
      ( holdsAt(X4,X5)
      | releasedAt(X4,plus(X5,n1))
      | ( happens(esk3_2(X4,X5),X5)
        & initiates(esk3_2(X4,X5),X4,X5) )
      | ~ holdsAt(X4,plus(X5,n1)) ),
    inference(skolemize,[status(esa)],[119]) ).

fof(121,plain,
    ! [X4,X5] :
      ( ( happens(esk3_2(X4,X5),X5)
        | holdsAt(X4,X5)
        | releasedAt(X4,plus(X5,n1))
        | ~ holdsAt(X4,plus(X5,n1)) )
      & ( initiates(esk3_2(X4,X5),X4,X5)
        | holdsAt(X4,X5)
        | releasedAt(X4,plus(X5,n1))
        | ~ holdsAt(X4,plus(X5,n1)) ) ),
    inference(distribute,[status(thm)],[120]) ).

cnf(122,plain,
    ( releasedAt(X1,plus(X2,n1))
    | holdsAt(X1,X2)
    | initiates(esk3_2(X1,X2),X1,X2)
    | ~ holdsAt(X1,plus(X2,n1)) ),
    inference(split_conjunct,[status(thm)],[121]) ).

cnf(123,plain,
    ( releasedAt(X1,plus(X2,n1))
    | holdsAt(X1,X2)
    | happens(esk3_2(X1,X2),X2)
    | ~ holdsAt(X1,plus(X2,n1)) ),
    inference(split_conjunct,[status(thm)],[121]) ).

cnf(124,plain,
    forwards != spinning,
    inference(split_conjunct,[status(thm)],[13]) ).

cnf(132,plain,
    plus(n0,n1) = n1,
    inference(split_conjunct,[status(thm)],[21]) ).

cnf(133,plain,
    ~ holdsAt(spinning,n0),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(137,negated_conjecture,
    holdsAt(spinning,n1),
    inference(split_conjunct,[status(thm)],[51]) ).

fof(138,plain,
    ! [X4,X5] : ~ releasedAt(X4,X5),
    inference(variable_rename,[status(thm)],[52]) ).

cnf(139,plain,
    ~ releasedAt(X1,X2),
    inference(split_conjunct,[status(thm)],[138]) ).

fof(140,plain,
    ! [X4,X5] :
      ( ( ~ less(X4,X5)
        | ( ~ less(X5,X4)
          & X5 != X4 ) )
      & ( less(X5,X4)
        | X5 = X4
        | less(X4,X5) ) ),
    inference(fof_nnf,[status(thm)],[53]) ).

fof(141,plain,
    ! [X6,X7] :
      ( ( ~ less(X6,X7)
        | ( ~ less(X7,X6)
          & X7 != X6 ) )
      & ( less(X7,X6)
        | X7 = X6
        | less(X6,X7) ) ),
    inference(variable_rename,[status(thm)],[140]) ).

fof(142,plain,
    ! [X6,X7] :
      ( ( ~ less(X7,X6)
        | ~ less(X6,X7) )
      & ( X7 != X6
        | ~ less(X6,X7) )
      & ( less(X7,X6)
        | X7 = X6
        | less(X6,X7) ) ),
    inference(distribute,[status(thm)],[141]) ).

cnf(145,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(split_conjunct,[status(thm)],[142]) ).

fof(146,plain,
    ! [X6,X7] : plus(X6,X7) = plus(X7,X6),
    inference(variable_rename,[status(thm)],[29]) ).

cnf(147,plain,
    plus(X1,X2) = plus(X2,X1),
    inference(split_conjunct,[status(thm)],[146]) ).

fof(148,plain,
    ! [X4,X5] :
      ( ( ~ less_or_equal(X4,X5)
        | less(X4,X5)
        | X4 = X5 )
      & ( ( ~ less(X4,X5)
          & X4 != X5 )
        | less_or_equal(X4,X5) ) ),
    inference(fof_nnf,[status(thm)],[30]) ).

fof(149,plain,
    ! [X6,X7] :
      ( ( ~ less_or_equal(X6,X7)
        | less(X6,X7)
        | X6 = X7 )
      & ( ( ~ less(X6,X7)
          & X6 != X7 )
        | less_or_equal(X6,X7) ) ),
    inference(variable_rename,[status(thm)],[148]) ).

fof(150,plain,
    ! [X6,X7] :
      ( ( ~ less_or_equal(X6,X7)
        | less(X6,X7)
        | X6 = X7 )
      & ( ~ less(X6,X7)
        | less_or_equal(X6,X7) )
      & ( X6 != X7
        | less_or_equal(X6,X7) ) ),
    inference(distribute,[status(thm)],[149]) ).

cnf(151,plain,
    ( less_or_equal(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[150]) ).

fof(182,plain,
    ! [X4] :
      ( ( ~ less(X4,n1)
        | less_or_equal(X4,n0) )
      & ( ~ less_or_equal(X4,n0)
        | less(X4,n1) ) ),
    inference(fof_nnf,[status(thm)],[39]) ).

fof(183,plain,
    ! [X5] :
      ( ( ~ less(X5,n1)
        | less_or_equal(X5,n0) )
      & ( ~ less_or_equal(X5,n0)
        | less(X5,n1) ) ),
    inference(variable_rename,[status(thm)],[182]) ).

cnf(184,plain,
    ( less(X1,n1)
    | ~ less_or_equal(X1,n0) ),
    inference(split_conjunct,[status(thm)],[183]) ).

fof(186,plain,
    ! [X4] :
      ( ( ~ less(X4,n2)
        | less_or_equal(X4,n1) )
      & ( ~ less_or_equal(X4,n1)
        | less(X4,n2) ) ),
    inference(fof_nnf,[status(thm)],[40]) ).

fof(187,plain,
    ! [X5] :
      ( ( ~ less(X5,n2)
        | less_or_equal(X5,n1) )
      & ( ~ less_or_equal(X5,n1)
        | less(X5,n2) ) ),
    inference(variable_rename,[status(thm)],[186]) ).

cnf(188,plain,
    ( less(X1,n2)
    | ~ less_or_equal(X1,n1) ),
    inference(split_conjunct,[status(thm)],[187]) ).

fof(194,plain,
    ! [X1,X3,X2] :
      ( ( ~ epred1_3(X2,X3,X1)
        | ( X1 = push
          & X3 = forwards
          & ~ happens(pull,X2) )
        | ( X1 = pull
          & X3 = backwards
          & ~ happens(push,X2) )
        | ( X1 = pull
          & X3 = spinning
          & happens(push,X2) ) )
      & ( ( ( X1 != push
            | X3 != forwards
            | happens(pull,X2) )
          & ( X1 != pull
            | X3 != backwards
            | happens(push,X2) )
          & ( X1 != pull
            | X3 != spinning
            | ~ happens(push,X2) ) )
        | epred1_3(X2,X3,X1) ) ),
    inference(fof_nnf,[status(thm)],[55]) ).

fof(195,plain,
    ! [X4,X5,X6] :
      ( ( ~ epred1_3(X6,X5,X4)
        | ( X4 = push
          & X5 = forwards
          & ~ happens(pull,X6) )
        | ( X4 = pull
          & X5 = backwards
          & ~ happens(push,X6) )
        | ( X4 = pull
          & X5 = spinning
          & happens(push,X6) ) )
      & ( ( ( X4 != push
            | X5 != forwards
            | happens(pull,X6) )
          & ( X4 != pull
            | X5 != backwards
            | happens(push,X6) )
          & ( X4 != pull
            | X5 != spinning
            | ~ happens(push,X6) ) )
        | epred1_3(X6,X5,X4) ) ),
    inference(variable_rename,[status(thm)],[194]) ).

fof(196,plain,
    ! [X4,X5,X6] :
      ( ( X4 = pull
        | X4 = pull
        | X4 = push
        | ~ epred1_3(X6,X5,X4) )
      & ( X5 = spinning
        | X4 = pull
        | X4 = push
        | ~ epred1_3(X6,X5,X4) )
      & ( happens(push,X6)
        | X4 = pull
        | X4 = push
        | ~ epred1_3(X6,X5,X4) )
      & ( X4 = pull
        | X5 = backwards
        | X4 = push
        | ~ epred1_3(X6,X5,X4) )
      & ( X5 = spinning
        | X5 = backwards
        | X4 = push
        | ~ epred1_3(X6,X5,X4) )
      & ( happens(push,X6)
        | X5 = backwards
        | X4 = push
        | ~ epred1_3(X6,X5,X4) )
      & ( X4 = pull
        | ~ happens(push,X6)
        | X4 = push
        | ~ epred1_3(X6,X5,X4) )
      & ( X5 = spinning
        | ~ happens(push,X6)
        | X4 = push
        | ~ epred1_3(X6,X5,X4) )
      & ( happens(push,X6)
        | ~ happens(push,X6)
        | X4 = push
        | ~ epred1_3(X6,X5,X4) )
      & ( X4 = pull
        | X4 = pull
        | X5 = forwards
        | ~ epred1_3(X6,X5,X4) )
      & ( X5 = spinning
        | X4 = pull
        | X5 = forwards
        | ~ epred1_3(X6,X5,X4) )
      & ( happens(push,X6)
        | X4 = pull
        | X5 = forwards
        | ~ epred1_3(X6,X5,X4) )
      & ( X4 = pull
        | X5 = backwards
        | X5 = forwards
        | ~ epred1_3(X6,X5,X4) )
      & ( X5 = spinning
        | X5 = backwards
        | X5 = forwards
        | ~ epred1_3(X6,X5,X4) )
      & ( happens(push,X6)
        | X5 = backwards
        | X5 = forwards
        | ~ epred1_3(X6,X5,X4) )
      & ( X4 = pull
        | ~ happens(push,X6)
        | X5 = forwards
        | ~ epred1_3(X6,X5,X4) )
      & ( X5 = spinning
        | ~ happens(push,X6)
        | X5 = forwards
        | ~ epred1_3(X6,X5,X4) )
      & ( happens(push,X6)
        | ~ happens(push,X6)
        | X5 = forwards
        | ~ epred1_3(X6,X5,X4) )
      & ( X4 = pull
        | X4 = pull
        | ~ happens(pull,X6)
        | ~ epred1_3(X6,X5,X4) )
      & ( X5 = spinning
        | X4 = pull
        | ~ happens(pull,X6)
        | ~ epred1_3(X6,X5,X4) )
      & ( happens(push,X6)
        | X4 = pull
        | ~ happens(pull,X6)
        | ~ epred1_3(X6,X5,X4) )
      & ( X4 = pull
        | X5 = backwards
        | ~ happens(pull,X6)
        | ~ epred1_3(X6,X5,X4) )
      & ( X5 = spinning
        | X5 = backwards
        | ~ happens(pull,X6)
        | ~ epred1_3(X6,X5,X4) )
      & ( happens(push,X6)
        | X5 = backwards
        | ~ happens(pull,X6)
        | ~ epred1_3(X6,X5,X4) )
      & ( X4 = pull
        | ~ happens(push,X6)
        | ~ happens(pull,X6)
        | ~ epred1_3(X6,X5,X4) )
      & ( X5 = spinning
        | ~ happens(push,X6)
        | ~ happens(pull,X6)
        | ~ epred1_3(X6,X5,X4) )
      & ( happens(push,X6)
        | ~ happens(push,X6)
        | ~ happens(pull,X6)
        | ~ epred1_3(X6,X5,X4) )
      & ( X4 != push
        | X5 != forwards
        | happens(pull,X6)
        | epred1_3(X6,X5,X4) )
      & ( X4 != pull
        | X5 != backwards
        | happens(push,X6)
        | epred1_3(X6,X5,X4) )
      & ( X4 != pull
        | X5 != spinning
        | ~ happens(push,X6)
        | epred1_3(X6,X5,X4) ) ),
    inference(distribute,[status(thm)],[195]) ).

cnf(217,plain,
    ( X2 = forwards
    | X3 = pull
    | X3 = pull
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[196]) ).

cnf(294,plain,
    less_or_equal(X1,X1),
    inference(er,[status(thm)],[151,theory(equality)]) ).

cnf(305,plain,
    plus(n1,n0) = n1,
    inference(rw,[status(thm)],[132,147,theory(equality)]) ).

cnf(517,plain,
    ( holdsAt(X1,X2)
    | happens(esk3_2(X1,X2),X2)
    | ~ holdsAt(X1,plus(X2,n1)) ),
    inference(sr,[status(thm)],[123,139,theory(equality)]) ).

cnf(519,plain,
    ( holdsAt(X1,X2)
    | happens(esk3_2(X1,X2),X2)
    | ~ holdsAt(X1,plus(n1,X2)) ),
    inference(spm,[status(thm)],[517,147,theory(equality)]) ).

cnf(526,plain,
    ( holdsAt(X1,X2)
    | initiates(esk3_2(X1,X2),X1,X2)
    | ~ holdsAt(X1,plus(X2,n1)) ),
    inference(sr,[status(thm)],[122,139,theory(equality)]) ).

cnf(527,plain,
    ( epred1_3(X1,X2,esk3_2(X2,X1))
    | holdsAt(X2,X1)
    | ~ holdsAt(X2,plus(X1,n1)) ),
    inference(spm,[status(thm)],[67,526,theory(equality)]) ).

cnf(545,plain,
    less(n0,n1),
    inference(spm,[status(thm)],[184,294,theory(equality)]) ).

cnf(546,plain,
    less(n1,n2),
    inference(spm,[status(thm)],[188,294,theory(equality)]) ).

cnf(555,plain,
    ~ less(n2,n1),
    inference(spm,[status(thm)],[145,546,theory(equality)]) ).

cnf(988,plain,
    ( holdsAt(X1,n0)
    | happens(esk3_2(X1,n0),n0)
    | ~ holdsAt(X1,n1) ),
    inference(spm,[status(thm)],[519,305,theory(equality)]) ).

cnf(1001,plain,
    ( pull = esk3_2(X1,X2)
    | forwards = X1
    | holdsAt(X1,X2)
    | ~ holdsAt(X1,plus(X2,n1)) ),
    inference(spm,[status(thm)],[217,527,theory(equality)]) ).

cnf(1817,plain,
    ( esk3_2(X1,X2) = pull
    | forwards = X1
    | holdsAt(X1,X2)
    | ~ holdsAt(X1,plus(n1,X2)) ),
    inference(spm,[status(thm)],[1001,147,theory(equality)]) ).

cnf(1884,plain,
    ( esk3_2(X1,n0) = pull
    | forwards = X1
    | holdsAt(X1,n0)
    | ~ holdsAt(X1,n1) ),
    inference(spm,[status(thm)],[1817,305,theory(equality)]) ).

cnf(1910,plain,
    ( holdsAt(X1,n0)
    | happens(pull,n0)
    | forwards = X1
    | ~ holdsAt(X1,n1) ),
    inference(spm,[status(thm)],[988,1884,theory(equality)]) ).

cnf(1933,plain,
    ( forwards = spinning
    | happens(pull,n0)
    | ~ holdsAt(spinning,n1) ),
    inference(spm,[status(thm)],[133,1910,theory(equality)]) ).

cnf(1937,plain,
    ( forwards = spinning
    | happens(pull,n0)
    | $false ),
    inference(rw,[status(thm)],[1933,137,theory(equality)]) ).

cnf(1938,plain,
    ( forwards = spinning
    | happens(pull,n0) ),
    inference(cn,[status(thm)],[1937,theory(equality)]) ).

cnf(1939,plain,
    happens(pull,n0),
    inference(sr,[status(thm)],[1938,124,theory(equality)]) ).

cnf(1942,plain,
    ( n2 = n0
    | push = pull
    | n1 = n0 ),
    inference(spm,[status(thm)],[107,1939,theory(equality)]) ).

cnf(1947,plain,
    ( n0 = n2
    | n0 = n1 ),
    inference(sr,[status(thm)],[1942,74,theory(equality)]) ).

cnf(1956,plain,
    ( less(n2,n1)
    | n0 = n1 ),
    inference(spm,[status(thm)],[545,1947,theory(equality)]) ).

cnf(1976,plain,
    n0 = n1,
    inference(sr,[status(thm)],[1956,555,theory(equality)]) ).

cnf(1992,plain,
    $false,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[133,1976,theory(equality)]),137,theory(equality)]) ).

cnf(1993,plain,
    $false,
    inference(cn,[status(thm)],[1992,theory(equality)]) ).

cnf(1994,plain,
    $false,
    1993,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR017+1.p
% --creating new selector for [CSR001+0.ax, CSR001+2.ax]
% -running prover on /tmp/tmpqzp9GK/sel_CSR017+1.p_1 with time limit 29
% -prover status Theorem
% Problem CSR017+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR017+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR017+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------