TSTP Solution File: CSR018+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CSR018+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 02:11:05 EDT 2024

% Result   : Theorem 4.26s 1.22s
% Output   : CNFRefutation 4.26s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f322)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X3,X4,X1] :
      ( ( initiates(X3,X1,X4)
        & happens(X3,X4) )
     => holdsAt(X1,plus(X4,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_holds) ).

fof(f13,axiom,
    ! [X3,X1,X4] :
      ( initiates(X3,X1,X4)
    <=> ( ( happens(push,X4)
          & spinning = X1
          & pull = X3 )
        | ( ~ happens(push,X4)
          & backwards = X1
          & pull = X3 )
        | ( ~ happens(pull,X4)
          & forwards = X1
          & push = X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initiates_all_defn) ).

fof(f16,axiom,
    ! [X3,X4] :
      ( happens(X3,X4)
    <=> ( ( n2 = X4
          & push = X3 )
        | ( n2 = X4
          & pull = X3 )
        | ( n1 = X4
          & pull = X3 )
        | ( n0 = X4
          & push = X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).

fof(f17,axiom,
    push != pull,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',push_not_pull) ).

fof(f25,axiom,
    n2 = plus(n1,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).

fof(f32,axiom,
    ! [X8,X9] :
      ( less_or_equal(X8,X9)
    <=> ( X8 = X9
        | less(X8,X9) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).

fof(f34,axiom,
    ! [X8] :
      ( less(X8,n1)
    <=> less_or_equal(X8,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).

fof(f35,axiom,
    ! [X8] :
      ( less(X8,n2)
    <=> less_or_equal(X8,n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).

fof(f43,axiom,
    ! [X8,X9] :
      ( less(X8,X9)
    <=> ( X8 != X9
        & ~ less(X9,X8) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).

fof(f48,conjecture,
    holdsAt(backwards,n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',backwards_2) ).

fof(f49,negated_conjecture,
    ~ holdsAt(backwards,n2),
    inference(negated_conjecture,[],[f48]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( ( initiates(X0,X2,X1)
        & happens(X0,X1) )
     => holdsAt(X2,plus(X1,n1)) ),
    inference(rectify,[],[f9]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( initiates(X0,X1,X2)
    <=> ( ( happens(push,X2)
          & spinning = X1
          & pull = X0 )
        | ( ~ happens(push,X2)
          & backwards = X1
          & pull = X0 )
        | ( ~ happens(pull,X2)
          & forwards = X1
          & push = X0 ) ) ),
    inference(rectify,[],[f13]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> ( ( n2 = X1
          & push = X0 )
        | ( n2 = X1
          & pull = X0 )
        | ( n1 = X1
          & pull = X0 )
        | ( n0 = X1
          & push = X0 ) ) ),
    inference(rectify,[],[f16]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( less_or_equal(X0,X1)
    <=> ( X0 = X1
        | less(X0,X1) ) ),
    inference(rectify,[],[f32]) ).

fof(f68,plain,
    ! [X0] :
      ( less(X0,n1)
    <=> less_or_equal(X0,n0) ),
    inference(rectify,[],[f34]) ).

fof(f69,plain,
    ! [X0] :
      ( less(X0,n2)
    <=> less_or_equal(X0,n1) ),
    inference(rectify,[],[f35]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( less(X0,X1)
    <=> ( X0 != X1
        & ~ less(X1,X0) ) ),
    inference(rectify,[],[f43]) ).

fof(f79,plain,
    ~ holdsAt(backwards,n2),
    inference(flattening,[],[f49]) ).

fof(f94,plain,
    ! [X0,X1,X2] :
      ( holdsAt(X2,plus(X1,n1))
      | ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( holdsAt(X2,plus(X1,n1))
      | ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1) ),
    inference(flattening,[],[f94]) ).

fof(f103,plain,
    ! [X2,X1,X0] :
      ( sP0(X2,X1,X0)
    <=> ( ~ happens(pull,X2)
        & forwards = X1
        & push = X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f104,plain,
    ! [X2,X1,X0] :
      ( sP1(X2,X1,X0)
    <=> ( ~ happens(push,X2)
        & backwards = X1
        & pull = X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f105,plain,
    ! [X0,X1,X2] :
      ( initiates(X0,X1,X2)
    <=> ( ( happens(push,X2)
          & spinning = X1
          & pull = X0 )
        | sP1(X2,X1,X0)
        | sP0(X2,X1,X0) ) ),
    inference(definition_folding,[],[f61,f104,f103]) ).

fof(f113,plain,
    ! [X1,X0] :
      ( sP8(X1,X0)
    <=> ( n0 = X1
        & push = X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f114,plain,
    ! [X1,X0] :
      ( sP9(X1,X0)
    <=> ( ( n2 = X1
          & push = X0 )
        | ( n2 = X1
          & pull = X0 )
        | ( n1 = X1
          & pull = X0 )
        | sP8(X1,X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> sP9(X1,X0) ),
    inference(definition_folding,[],[f64,f114,f113]) ).

fof(f124,plain,
    ! [X2,X1,X0] :
      ( ( sP1(X2,X1,X0)
        | happens(push,X2)
        | backwards != X1
        | pull != X0 )
      & ( ( ~ happens(push,X2)
          & backwards = X1
          & pull = X0 )
        | ~ sP1(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f104]) ).

fof(f125,plain,
    ! [X2,X1,X0] :
      ( ( sP1(X2,X1,X0)
        | happens(push,X2)
        | backwards != X1
        | pull != X0 )
      & ( ( ~ happens(push,X2)
          & backwards = X1
          & pull = X0 )
        | ~ sP1(X2,X1,X0) ) ),
    inference(flattening,[],[f124]) ).

fof(f126,plain,
    ! [X0,X1,X2] :
      ( ( sP1(X0,X1,X2)
        | happens(push,X0)
        | backwards != X1
        | pull != X2 )
      & ( ( ~ happens(push,X0)
          & backwards = X1
          & pull = X2 )
        | ~ sP1(X0,X1,X2) ) ),
    inference(rectify,[],[f125]) ).

fof(f130,plain,
    ! [X0,X1,X2] :
      ( ( initiates(X0,X1,X2)
        | ( ( ~ happens(push,X2)
            | spinning != X1
            | pull != X0 )
          & ~ sP1(X2,X1,X0)
          & ~ sP0(X2,X1,X0) ) )
      & ( ( happens(push,X2)
          & spinning = X1
          & pull = X0 )
        | sP1(X2,X1,X0)
        | sP0(X2,X1,X0)
        | ~ initiates(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f105]) ).

fof(f131,plain,
    ! [X0,X1,X2] :
      ( ( initiates(X0,X1,X2)
        | ( ( ~ happens(push,X2)
            | spinning != X1
            | pull != X0 )
          & ~ sP1(X2,X1,X0)
          & ~ sP0(X2,X1,X0) ) )
      & ( ( happens(push,X2)
          & spinning = X1
          & pull = X0 )
        | sP1(X2,X1,X0)
        | sP0(X2,X1,X0)
        | ~ initiates(X0,X1,X2) ) ),
    inference(flattening,[],[f130]) ).

fof(f151,plain,
    ! [X1,X0] :
      ( ( sP9(X1,X0)
        | ( ( n2 != X1
            | push != X0 )
          & ( n2 != X1
            | pull != X0 )
          & ( n1 != X1
            | pull != X0 )
          & ~ sP8(X1,X0) ) )
      & ( ( n2 = X1
          & push = X0 )
        | ( n2 = X1
          & pull = X0 )
        | ( n1 = X1
          & pull = X0 )
        | sP8(X1,X0)
        | ~ sP9(X1,X0) ) ),
    inference(nnf_transformation,[],[f114]) ).

fof(f152,plain,
    ! [X1,X0] :
      ( ( sP9(X1,X0)
        | ( ( n2 != X1
            | push != X0 )
          & ( n2 != X1
            | pull != X0 )
          & ( n1 != X1
            | pull != X0 )
          & ~ sP8(X1,X0) ) )
      & ( ( n2 = X1
          & push = X0 )
        | ( n2 = X1
          & pull = X0 )
        | ( n1 = X1
          & pull = X0 )
        | sP8(X1,X0)
        | ~ sP9(X1,X0) ) ),
    inference(flattening,[],[f151]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ( sP9(X0,X1)
        | ( ( n2 != X0
            | push != X1 )
          & ( n2 != X0
            | pull != X1 )
          & ( n1 != X0
            | pull != X1 )
          & ~ sP8(X0,X1) ) )
      & ( ( n2 = X0
          & push = X1 )
        | ( n2 = X0
          & pull = X1 )
        | ( n1 = X0
          & pull = X1 )
        | sP8(X0,X1)
        | ~ sP9(X0,X1) ) ),
    inference(rectify,[],[f152]) ).

fof(f154,plain,
    ! [X1,X0] :
      ( ( sP8(X1,X0)
        | n0 != X1
        | push != X0 )
      & ( ( n0 = X1
          & push = X0 )
        | ~ sP8(X1,X0) ) ),
    inference(nnf_transformation,[],[f113]) ).

fof(f155,plain,
    ! [X1,X0] :
      ( ( sP8(X1,X0)
        | n0 != X1
        | push != X0 )
      & ( ( n0 = X1
          & push = X0 )
        | ~ sP8(X1,X0) ) ),
    inference(flattening,[],[f154]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ( sP8(X0,X1)
        | n0 != X0
        | push != X1 )
      & ( ( n0 = X0
          & push = X1 )
        | ~ sP8(X0,X1) ) ),
    inference(rectify,[],[f155]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ( happens(X0,X1)
        | ~ sP9(X1,X0) )
      & ( sP9(X1,X0)
        | ~ happens(X0,X1) ) ),
    inference(nnf_transformation,[],[f115]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ( less_or_equal(X0,X1)
        | ( X0 != X1
          & ~ less(X0,X1) ) )
      & ( X0 = X1
        | less(X0,X1)
        | ~ less_or_equal(X0,X1) ) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ( less_or_equal(X0,X1)
        | ( X0 != X1
          & ~ less(X0,X1) ) )
      & ( X0 = X1
        | less(X0,X1)
        | ~ less_or_equal(X0,X1) ) ),
    inference(flattening,[],[f158]) ).

fof(f160,plain,
    ! [X0] :
      ( ( less(X0,n1)
        | ~ less_or_equal(X0,n0) )
      & ( less_or_equal(X0,n0)
        | ~ less(X0,n1) ) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f161,plain,
    ! [X0] :
      ( ( less(X0,n2)
        | ~ less_or_equal(X0,n1) )
      & ( less_or_equal(X0,n1)
        | ~ less(X0,n2) ) ),
    inference(nnf_transformation,[],[f69]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | X0 = X1
        | less(X1,X0) )
      & ( ( X0 != X1
          & ~ less(X1,X0) )
        | ~ less(X0,X1) ) ),
    inference(nnf_transformation,[],[f77]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | X0 = X1
        | less(X1,X0) )
      & ( ( X0 != X1
          & ~ less(X1,X0) )
        | ~ less(X0,X1) ) ),
    inference(flattening,[],[f169]) ).

fof(f179,plain,
    ! [X2,X0,X1] :
      ( holdsAt(X2,plus(X1,n1))
      | ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f187,plain,
    ! [X2,X0,X1] :
      ( sP1(X0,X1,X2)
      | happens(push,X0)
      | backwards != X1
      | pull != X2 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f196,plain,
    ! [X2,X0,X1] :
      ( initiates(X0,X1,X2)
      | ~ sP1(X2,X1,X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f235,plain,
    ! [X0,X1] :
      ( n2 = X0
      | pull = X1
      | n1 = X0
      | sP8(X0,X1)
      | ~ sP9(X0,X1) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( sP9(X0,X1)
      | n1 != X0
      | pull != X1 ),
    inference(cnf_transformation,[],[f153]) ).

fof(f243,plain,
    ! [X0,X1] :
      ( n0 = X0
      | ~ sP8(X0,X1) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( sP9(X1,X0)
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
      | ~ sP9(X1,X0) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f247,plain,
    push != pull,
    inference(cnf_transformation,[],[f17]) ).

fof(f255,plain,
    n2 = plus(n1,n1),
    inference(cnf_transformation,[],[f25]) ).

fof(f264,plain,
    ! [X0,X1] :
      ( less_or_equal(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f159]) ).

fof(f267,plain,
    ! [X0] :
      ( less(X0,n1)
      | ~ less_or_equal(X0,n0) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f268,plain,
    ! [X0] :
      ( less_or_equal(X0,n1)
      | ~ less(X0,n2) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f269,plain,
    ! [X0] :
      ( less(X0,n2)
      | ~ less_or_equal(X0,n1) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f285,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f291,plain,
    ~ holdsAt(backwards,n2),
    inference(cnf_transformation,[],[f79]) ).

fof(f292,plain,
    ! [X2,X0] :
      ( sP1(X0,backwards,X2)
      | happens(push,X0)
      | pull != X2 ),
    inference(equality_resolution,[],[f187]) ).

fof(f293,plain,
    ! [X0] :
      ( sP1(X0,backwards,pull)
      | happens(push,X0) ),
    inference(equality_resolution,[],[f292]) ).

fof(f314,plain,
    ! [X1] :
      ( sP9(n1,X1)
      | pull != X1 ),
    inference(equality_resolution,[],[f239]) ).

fof(f315,plain,
    sP9(n1,pull),
    inference(equality_resolution,[],[f314]) ).

fof(f318,plain,
    ! [X1] : less_or_equal(X1,X1),
    inference(equality_resolution,[],[f264]) ).

fof(f319,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f285]) ).

cnf(c_57,plain,
    ( ~ initiates(X0,X1,X2)
    | ~ happens(X0,X2)
    | holdsAt(X1,plus(X2,n1)) ),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_62,plain,
    ( sP1(X0,backwards,pull)
    | happens(push,X0) ),
    inference(cnf_transformation,[],[f293]) ).

cnf(c_71,plain,
    ( ~ sP1(X0,X1,X2)
    | initiates(X2,X1,X0) ),
    inference(cnf_transformation,[],[f196]) ).

cnf(c_110,plain,
    sP9(n1,pull),
    inference(cnf_transformation,[],[f315]) ).

cnf(c_114,plain,
    ( ~ sP9(X0,X1)
    | X0 = n1
    | X0 = n2
    | X1 = pull
    | sP8(X0,X1) ),
    inference(cnf_transformation,[],[f235]) ).

cnf(c_115,plain,
    ( ~ sP9(X0,X1)
    | X0 = n2
    | X1 = pull
    | sP8(X0,X1) ),
    inference(cnf_transformation,[],[f322]) ).

cnf(c_121,plain,
    ( ~ sP8(X0,X1)
    | X0 = n0 ),
    inference(cnf_transformation,[],[f243]) ).

cnf(c_123,plain,
    ( ~ sP9(X0,X1)
    | happens(X1,X0) ),
    inference(cnf_transformation,[],[f246]) ).

cnf(c_124,plain,
    ( ~ happens(X0,X1)
    | sP9(X1,X0) ),
    inference(cnf_transformation,[],[f245]) ).

cnf(c_125,plain,
    pull != push,
    inference(cnf_transformation,[],[f247]) ).

cnf(c_133,plain,
    plus(n1,n1) = n2,
    inference(cnf_transformation,[],[f255]) ).

cnf(c_140,plain,
    less_or_equal(X0,X0),
    inference(cnf_transformation,[],[f318]) ).

cnf(c_144,plain,
    ( ~ less_or_equal(X0,n0)
    | less(X0,n1) ),
    inference(cnf_transformation,[],[f267]) ).

cnf(c_146,plain,
    ( ~ less_or_equal(X0,n1)
    | less(X0,n2) ),
    inference(cnf_transformation,[],[f269]) ).

cnf(c_147,plain,
    ( ~ less(X0,n2)
    | less_or_equal(X0,n1) ),
    inference(cnf_transformation,[],[f268]) ).

cnf(c_163,plain,
    ~ less(X0,X0),
    inference(cnf_transformation,[],[f319]) ).

cnf(c_169,negated_conjecture,
    ~ holdsAt(backwards,n2),
    inference(cnf_transformation,[],[f291]) ).

cnf(c_170,plain,
    less_or_equal(n1,n1),
    inference(instantiation,[status(thm)],[c_140]) ).

cnf(c_172,plain,
    ~ less(n1,n1),
    inference(instantiation,[status(thm)],[c_163]) ).

cnf(c_189,plain,
    ( ~ less_or_equal(n1,n1)
    | less(n1,n2) ),
    inference(instantiation,[status(thm)],[c_146]) ).

cnf(c_277,plain,
    ( ~ sP9(X0,X1)
    | X0 = n2
    | X1 = pull
    | sP8(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_114,c_115]) ).

cnf(c_290,plain,
    ( less(X0,n1)
    | ~ less_or_equal(X0,n0) ),
    inference(prop_impl_just,[status(thm)],[c_144]) ).

cnf(c_291,plain,
    ( ~ less_or_equal(X0,n0)
    | less(X0,n1) ),
    inference(renaming,[status(thm)],[c_290]) ).

cnf(c_296,plain,
    ( ~ less(X0,n2)
    | less_or_equal(X0,n1) ),
    inference(prop_impl_just,[status(thm)],[c_147]) ).

cnf(c_330,plain,
    ( ~ happens(X0,X1)
    | sP9(X1,X0) ),
    inference(prop_impl_just,[status(thm)],[c_124]) ).

cnf(c_342,plain,
    ( happens(push,X0)
    | sP1(X0,backwards,pull) ),
    inference(prop_impl_just,[status(thm)],[c_62]) ).

cnf(c_343,plain,
    ( sP1(X0,backwards,pull)
    | happens(push,X0) ),
    inference(renaming,[status(thm)],[c_342]) ).

cnf(c_358,plain,
    ( ~ sP1(X0,X1,X2)
    | initiates(X2,X1,X0) ),
    inference(prop_impl_just,[status(thm)],[c_71]) ).

cnf(c_436,plain,
    ( ~ sP9(X0,X1)
    | happens(X1,X0) ),
    inference(prop_impl_just,[status(thm)],[c_123]) ).

cnf(c_442,plain,
    ( ~ sP8(X0,X1)
    | X0 = n0 ),
    inference(prop_impl_just,[status(thm)],[c_121]) ).

cnf(c_1561,plain,
    ( X0 != X1
    | X2 != X3
    | ~ sP9(X0,X2)
    | X0 = n2
    | X1 = n0
    | X2 = pull ),
    inference(resolution_lifted,[status(thm)],[c_277,c_442]) ).

cnf(c_1562,plain,
    ( ~ sP9(X0,X1)
    | X0 = n2
    | X0 = n0
    | X1 = pull ),
    inference(unflattening,[status(thm)],[c_1561]) ).

cnf(c_1726,plain,
    ( X0 != X1
    | X2 != backwards
    | X3 != pull
    | initiates(X3,X2,X1)
    | happens(push,X0) ),
    inference(resolution_lifted,[status(thm)],[c_343,c_358]) ).

cnf(c_1727,plain,
    ( initiates(pull,backwards,X0)
    | happens(push,X0) ),
    inference(unflattening,[status(thm)],[c_1726]) ).

cnf(c_2535,plain,
    ( X0 != n1
    | X1 != pull
    | happens(X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_110,c_436]) ).

cnf(c_2536,plain,
    happens(pull,n1),
    inference(unflattening,[status(thm)],[c_2535]) ).

cnf(c_2570,plain,
    ( X0 != X1
    | X2 != X3
    | ~ happens(X3,X1)
    | X0 = n2
    | X0 = n0
    | X2 = pull ),
    inference(resolution_lifted,[status(thm)],[c_1562,c_330]) ).

cnf(c_2571,plain,
    ( ~ happens(X0,X1)
    | X0 = pull
    | X1 = n2
    | X1 = n0 ),
    inference(unflattening,[status(thm)],[c_2570]) ).

cnf(c_3369,plain,
    ( X0 != X1
    | n1 != n0
    | ~ less(X1,n2)
    | less(X0,n1) ),
    inference(resolution_lifted,[status(thm)],[c_291,c_296]) ).

cnf(c_3370,plain,
    ( n1 != n0
    | ~ less(X0,n2)
    | less(X0,n1) ),
    inference(unflattening,[status(thm)],[c_3369]) ).

cnf(c_3371,plain,
    ( n1 != n0
    | ~ less(n1,n2)
    | less(n1,n1) ),
    inference(instantiation,[status(thm)],[c_3370]) ).

cnf(c_4678,plain,
    ( happens(push,X0)
    | initiates(pull,backwards,X0) ),
    inference(prop_impl_just,[status(thm)],[c_1727]) ).

cnf(c_4679,plain,
    ( initiates(pull,backwards,X0)
    | happens(push,X0) ),
    inference(renaming,[status(thm)],[c_4678]) ).

cnf(c_9307,plain,
    less(n1,n2),
    inference(superposition,[status(thm)],[c_140,c_146]) ).

cnf(c_9415,plain,
    ( ~ happens(pull,X0)
    | holdsAt(backwards,plus(X0,n1))
    | happens(push,X0) ),
    inference(superposition,[status(thm)],[c_4679,c_57]) ).

cnf(c_9647,plain,
    ( ~ happens(pull,n1)
    | holdsAt(backwards,n2)
    | happens(push,n1) ),
    inference(superposition,[status(thm)],[c_133,c_9415]) ).

cnf(c_9744,plain,
    happens(push,n1),
    inference(global_subsumption_just,[status(thm)],[c_9647,c_169,c_2536,c_9647]) ).

cnf(c_9748,plain,
    ( n1 = n2
    | n1 = n0
    | pull = push ),
    inference(superposition,[status(thm)],[c_9744,c_2571]) ).

cnf(c_9956,plain,
    n1 = n2,
    inference(global_subsumption_just,[status(thm)],[c_9748,c_170,c_172,c_125,c_189,c_3371,c_9748]) ).

cnf(c_9967,plain,
    less(n1,n1),
    inference(superposition,[status(thm)],[c_9956,c_9307]) ).

cnf(c_9973,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9967,c_172]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR018+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 23:03:20 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.26/1.22  % SZS status Started for theBenchmark.p
% 4.26/1.22  % SZS status Theorem for theBenchmark.p
% 4.26/1.22  
% 4.26/1.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.26/1.22  
% 4.26/1.22  ------  iProver source info
% 4.26/1.22  
% 4.26/1.22  git: date: 2024-05-02 19:28:25 +0000
% 4.26/1.22  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.26/1.22  git: non_committed_changes: false
% 4.26/1.22  
% 4.26/1.22  ------ Parsing...
% 4.26/1.22  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.26/1.22  
% 4.26/1.22  ------ Preprocessing... sup_sim: 2  sf_s  rm: 3 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 10 0s  sf_e  pe_s  pe_e 
% 4.26/1.22  
% 4.26/1.22  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.26/1.22  
% 4.26/1.22  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.26/1.22  ------ Proving...
% 4.26/1.22  ------ Problem Properties 
% 4.26/1.22  
% 4.26/1.22  
% 4.26/1.22  clauses                                 82
% 4.26/1.22  conjectures                             1
% 4.26/1.22  EPR                                     65
% 4.26/1.22  Horn                                    56
% 4.26/1.22  unary                                   27
% 4.26/1.22  binary                                  31
% 4.26/1.22  lits                                    177
% 4.26/1.22  lits eq                                 54
% 4.26/1.22  fd_pure                                 0
% 4.26/1.22  fd_pseudo                               0
% 4.26/1.22  fd_cond                                 18
% 4.26/1.22  fd_pseudo_cond                          2
% 4.26/1.22  AC symbols                              0
% 4.26/1.22  
% 4.26/1.22  ------ Input Options Time Limit: Unbounded
% 4.26/1.22  
% 4.26/1.22  
% 4.26/1.22  ------ 
% 4.26/1.22  Current options:
% 4.26/1.22  ------ 
% 4.26/1.22  
% 4.26/1.22  
% 4.26/1.22  
% 4.26/1.22  
% 4.26/1.22  ------ Proving...
% 4.26/1.22  
% 4.26/1.22  
% 4.26/1.22  ------ Proving...
% 4.26/1.22  
% 4.26/1.22  
% 4.26/1.22  ------ Proving...
% 4.26/1.22  
% 4.26/1.22  
% 4.26/1.22  % SZS status Theorem for theBenchmark.p
% 4.26/1.22  
% 4.26/1.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.26/1.22  
% 4.26/1.23  
%------------------------------------------------------------------------------