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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : CSR016+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n002.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 01:09:53 PM UTC 2026

% Result   : Theorem 3.80s 1.27s
% Output   : CNFRefutation 3.80s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f76ERROR: Could not build tree for root c_17997ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ( initiates(X0,X2,X1)
        & happens(X0,X1) )
     => holdsAt(X2,plus(X1,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_holds) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> ( ( X1 = n2
          & X0 = push )
        | ( X1 = n2
          & X0 = pull )
        | ( X1 = n1
          & X0 = pull )
        | ( X1 = n0
          & X0 = push ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax',happens_all_defn) ).

fof(f17,axiom,
    push != pull,
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax',push_not_pull) ).

fof(f22,axiom,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).

fof(f31,axiom,
    ! [X0,X1] : plus(X0,X1) = plus(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).

fof(f32,axiom,
    ! [X0,X1] :
      ( less_or_equal(X0,X1)
    <=> ( X0 = X1
        | less(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).

fof(f34,axiom,
    ! [X0] :
      ( less(X0,n1)
    <=> less_or_equal(X0,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).

fof(f35,axiom,
    ! [X0] :
      ( less(X0,n2)
    <=> less_or_equal(X0,n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).

fof(f36,axiom,
    ! [X0] :
      ( less(X0,n3)
    <=> less_or_equal(X0,n2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3) ).

fof(f43,axiom,
    ! [X0,X1] :
      ( less(X0,X1)
    <=> ( X1 != X0
        & ~ less(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).

fof(f48,conjecture,
    holdsAt(forwards,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forwards_1) ).

fof(f49,negated_conjecture,
    ~ holdsAt(forwards,n1),
    inference(negated_conjecture,[status(cth)],[f48]) ).

fof(f50,plain,
    ~ holdsAt(forwards,n1),
    inference(flattening,[],[f49]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X2,plus(X1,n1)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X2,plus(X1,n1)) ),
    inference(flattening,[],[f65]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( ( ~ initiates(X0,X1,X2)
        | sP0(X0,X1,X2)
        | sP1(X0,X1,X2)
        | ( ~ happens(pull,X2)
          & X1 = forwards
          & X0 = push ) )
      & ( ( ~ sP0(X0,X1,X2)
          & ~ sP1(X0,X1,X2)
          & ( happens(pull,X2)
            | forwards != X1
            | push != X0 ) )
        | initiates(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f76]) ).

fof(f96,plain,
    ! [X0,X1,X2] :
      ( ( ~ initiates(X0,X1,X2)
        | sP0(X0,X1,X2)
        | sP1(X0,X1,X2)
        | ( ~ happens(pull,X2)
          & X1 = forwards
          & X0 = push ) )
      & ( ( ~ sP0(X0,X1,X2)
          & ~ sP1(X0,X1,X2)
          & ( happens(pull,X2)
            | forwards != X1
            | push != X0 ) )
        | initiates(X0,X1,X2) ) ),
    inference(flattening,[],[f95]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ( ~ sP9(X0,X1)
        | sP8(X0,X1)
        | ( X1 = n2
          & X0 = pull )
        | ( X1 = n1
          & X0 = pull )
        | ( X1 = n0
          & X0 = push ) )
      & ( ( ~ sP8(X0,X1)
          & ( n2 != X1
            | pull != X0 )
          & ( n1 != X1
            | pull != X0 )
          & ( n0 != X1
            | push != X0 ) )
        | sP9(X0,X1) ) ),
    inference(nnf_transformation,[],[f85]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ( ~ sP9(X0,X1)
        | sP8(X0,X1)
        | ( X1 = n2
          & X0 = pull )
        | ( X1 = n1
          & X0 = pull )
        | ( X1 = n0
          & X0 = push ) )
      & ( ( ~ sP8(X0,X1)
          & ( n2 != X1
            | pull != X0 )
          & ( n1 != X1
            | pull != X0 )
          & ( n0 != X1
            | push != X0 ) )
        | sP9(X0,X1) ) ),
    inference(flattening,[],[f110]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ( ~ happens(X0,X1)
        | sP9(X0,X1) )
      & ( ~ sP9(X0,X1)
        | happens(X0,X1) ) ),
    inference(nnf_transformation,[],[f86]) ).

fof(f115,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,[],[f32]) ).

fof(f116,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,[],[f115]) ).

fof(f117,plain,
    ! [X0] :
      ( ( ~ less(X0,n1)
        | less_or_equal(X0,n0) )
      & ( ~ less_or_equal(X0,n0)
        | less(X0,n1) ) ),
    inference(nnf_transformation,[],[f34]) ).

fof(f118,plain,
    ! [X0] :
      ( ( ~ less(X0,n2)
        | less_or_equal(X0,n1) )
      & ( ~ less_or_equal(X0,n1)
        | less(X0,n2) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f119,plain,
    ! [X0] :
      ( ( ~ less(X0,n3)
        | less_or_equal(X0,n2) )
      & ( ~ less_or_equal(X0,n2)
        | less(X0,n3) ) ),
    inference(nnf_transformation,[],[f36]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ( ~ less(X0,X1)
        | ( X1 != X0
          & ~ less(X1,X0) ) )
      & ( X0 = X1
        | less(X1,X0)
        | less(X0,X1) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ( ~ less(X0,X1)
        | ( X1 != X0
          & ~ less(X1,X0) ) )
      & ( X0 = X1
        | less(X1,X0)
        | less(X0,X1) ) ),
    inference(flattening,[],[f126]) ).

fof(f136,plain,
    ! [X2,X0,X1] :
      ( ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X2,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f154,plain,
    ! [X2,X0,X1] :
      ( happens(pull,X2)
      | forwards != X1
      | push != X0
      | initiates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( ~ sP9(X0,X1)
      | sP8(X0,X1)
      | n2 = X1
      | n1 = X1
      | push = X0 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( n0 != X1
      | push != X0
      | sP9(X0,X1) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f202,plain,
    ! [X0,X1] :
      ( ~ happens(X0,X1)
      | sP9(X0,X1) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( ~ sP9(X0,X1)
      | happens(X0,X1) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f204,plain,
    push != pull,
    inference(cnf_transformation,[],[f17]) ).

fof(f209,plain,
    n1 = plus(n0,n1),
    inference(cnf_transformation,[],[f22]) ).

fof(f218,plain,
    ! [X0,X1] : plus(X0,X1) = plus(X1,X0),
    inference(cnf_transformation,[],[f31]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( X0 != X1
      | less_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f221,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | less_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f224,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n0)
      | less(X0,n1) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f225,plain,
    ! [X0] :
      ( ~ less(X0,n2)
      | less_or_equal(X0,n1) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f226,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n1)
      | less(X0,n2) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f227,plain,
    ! [X0] :
      ( ~ less(X0,n3)
      | less_or_equal(X0,n2) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f228,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n2)
      | less(X0,n3) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f241,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f248,plain,
    ~ holdsAt(forwards,n1),
    inference(cnf_transformation,[],[f50]) ).

fof(f253,plain,
    ! [X2,X1] :
      ( happens(pull,X2)
      | forwards != X1
      | initiates(push,X1,X2) ),
    inference(equality_resolution,[],[f154]) ).

fof(f254,plain,
    ! [X2] :
      ( happens(pull,X2)
      | initiates(push,forwards,X2) ),
    inference(equality_resolution,[],[f253]) ).

fof(f267,plain,
    ! [X1] :
      ( n0 != X1
      | sP9(push,X1) ),
    inference(equality_resolution,[],[f198]) ).

fof(f268,plain,
    sP9(push,n0),
    inference(equality_resolution,[],[f267]) ).

fof(f275,plain,
    ! [X1] : less_or_equal(X1,X1),
    inference(equality_resolution,[],[f220]) ).

fof(f276,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f241]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( holdsAt(X1,plus(X2,n1))
      | ~ happens(X0,X2)
      | ~ initiates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_70,plain,
    ! [X0: $i] :
      ( happens(pull,X0)
      | initiates(push,forwards,X0) ),
    inference(cnf_transformation,[],[f254]) ).

tcf(c_108,plain,
    sP9(push,n0),
    inference(cnf_transformation,[],[f268]) ).

tcf(c_115,plain,
    ! [X0: $i,X1: $i] :
      ( sP8(X0,X1)
      | ( X1 = n2 )
      | ( X1 = n1 )
      | ( X0 = push )
      | ~ sP9(X0,X1) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_123,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ~ sP9(X0,X1) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_124,plain,
    ! [X0: $i,X1: $i] :
      ( sP9(X0,X1)
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_125,plain,
    pull != push,
    inference(cnf_transformation,[],[f204]) ).

tcf(c_130,plain,
    plus(n0,n1) = n1,
    inference(cnf_transformation,[],[f209]) ).

tcf(c_139,plain,
    ! [X0: $i,X1: $i] : plus(X0,X1) = plus(X1,X0),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_140,plain,
    ! [X0: $i,X1: $i] :
      ( less_or_equal(X0,X1)
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_141,plain,
    ! [X0: $i] : less_or_equal(X0,X0),
    inference(cnf_transformation,[],[f275]) ).

tcf(c_144,plain,
    ! [X0: $i] :
      ( less(X0,n1)
      | ~ less_or_equal(X0,n0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_146,plain,
    ! [X0: $i] :
      ( less(X0,n2)
      | ~ less_or_equal(X0,n1) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_147,plain,
    ! [X0: $i] :
      ( less_or_equal(X0,n1)
      | ~ less(X0,n2) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_148,plain,
    ! [X0: $i] :
      ( less(X0,n3)
      | ~ less_or_equal(X0,n2) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_149,plain,
    ! [X0: $i] :
      ( less_or_equal(X0,n2)
      | ~ less(X0,n3) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_164,plain,
    ! [X0: $i] : ~ less(X0,X0),
    inference(cnf_transformation,[],[f276]) ).

tcf(c_169,negated_conjecture,
    ~ holdsAt(forwards,n1),
    inference(cnf_transformation,[],[f248]) ).

tcf(c_170,plain,
    less_or_equal(n1,n1),
    inference(instantiation,[status(thm)],[c_141]) ).

tcf(c_172,plain,
    ~ less(n1,n1),
    inference(instantiation,[status(thm)],[c_164]) ).

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

tcf(c_298,plain,
    ! [X0: $i,X1: $i] :
      ( ~ happens(X0,X1)
      | sP9(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_124]) ).

tcf(c_299,plain,
    ! [X0: $i,X1: $i] :
      ( sP9(X0,X1)
      | ~ happens(X0,X1) ),
    inference(renaming,[status(thm)],[c_298]) ).

tcf(c_300,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ~ sP9(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_123]) ).

tcf(c_306,plain,
    ! [X0: $i] :
      ( ~ less_or_equal(X0,n0)
      | less(X0,n1) ),
    inference(prop_impl_just,[status(thm)],[c_144]) ).

tcf(c_307,plain,
    ! [X0: $i] :
      ( less(X0,n1)
      | ~ less_or_equal(X0,n0) ),
    inference(renaming,[status(thm)],[c_306]) ).

tcf(c_312,plain,
    ! [X0: $i] :
      ( less_or_equal(X0,n1)
      | ~ less(X0,n2) ),
    inference(prop_impl_just,[status(thm)],[c_147]) ).

tcf(c_314,plain,
    ! [X0: $i] :
      ( ~ less_or_equal(X0,n2)
      | less(X0,n3) ),
    inference(prop_impl_just,[status(thm)],[c_148]) ).

tcf(c_315,plain,
    ! [X0: $i] :
      ( less(X0,n3)
      | ~ less_or_equal(X0,n2) ),
    inference(renaming,[status(thm)],[c_314]) ).

tcf(c_316,plain,
    ! [X0: $i] :
      ( less_or_equal(X0,n2)
      | ~ less(X0,n3) ),
    inference(prop_impl_just,[status(thm)],[c_149]) ).

tcf(c_450,plain,
    ! [X0: $i,X1: $i] :
      ( less_or_equal(X0,X1)
      | ~ less(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_140]) ).

tcf(c_1249,plain,
    plus(n1,n0) = n1,
    inference(demodulation,[status(thm)],[c_130,c_139]) ).

tcf(c_2453,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( X0 != push ) ),
    inference(resolution_lifted,[status(thm)],[c_108,c_300]) ).

tcf(c_2454,plain,
    happens(push,n0),
    inference(unflattening,[status(thm)],[c_2453]) ).

tcf(c_3443,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( less(X1,n3)
      | ~ less(X0,X2)
      | ( X2 != n2 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_450,c_315]) ).

tcf(c_3444,plain,
    ! [X0: $i] :
      ( less(X0,n3)
      | ~ less(X0,n2) ),
    inference(unflattening,[status(thm)],[c_3443]) ).

tcf(c_3445,plain,
    ( less(n1,n3)
    | ~ less(n1,n2) ),
    inference(instantiation,[status(thm)],[c_3444]) ).

tcf(c_3637,plain,
    ! [X0: $i,X1: $i] :
      ( less(X0,n1)
      | ~ less(X1,n2)
      | ( n1 != n0 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_307,c_312]) ).

tcf(c_3638,plain,
    ! [X0: $i] :
      ( less(X0,n1)
      | ~ less(X0,n2)
      | ( n1 != n0 ) ),
    inference(unflattening,[status(thm)],[c_3637]) ).

tcf(c_3639,plain,
    ( less(n1,n1)
    | ~ less(n1,n2)
    | ( n1 != n0 ) ),
    inference(instantiation,[status(thm)],[c_3638]) ).

tcf(c_3655,plain,
    ! [X0: $i,X1: $i] :
      ( less(X0,n1)
      | ~ less(X1,n3)
      | ( n0 != n2 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_307,c_316]) ).

tcf(c_3656,plain,
    ! [X0: $i] :
      ( less(X0,n1)
      | ~ less(X0,n3)
      | ( n0 != n2 ) ),
    inference(unflattening,[status(thm)],[c_3655]) ).

tcf(c_3657,plain,
    ( less(n1,n1)
    | ~ less(n1,n3)
    | ( n0 != n2 ) ),
    inference(instantiation,[status(thm)],[c_3656]) ).

tcf(c_7715,negated_conjecture,
    ~ holdsAt(forwards,n1),
    inference(demodulation,[status(thm)],[c_169]) ).

tcf(c_9171,plain,
    ! [X0: $i] :
      ( happens(pull,X0)
      | holdsAt(forwards,plus(X0,n1))
      | ~ happens(push,X0) ),
    inference(superposition,[status(thm)],[c_70,c_57]) ).

tcf(c_17808,plain,
    ! [X0: $i] :
      ( happens(pull,X0)
      | holdsAt(forwards,plus(n1,X0))
      | ~ happens(push,X0) ),
    inference(superposition,[status(thm)],[c_139,c_9171]) ).

tcf(c_17972,plain,
    ( happens(pull,n0)
    | holdsAt(forwards,n1)
    | ~ happens(push,n0) ),
    inference(superposition,[status(thm)],[c_1249,c_17808]) ).

tcf(c_17979,plain,
    happens(pull,n0),
    inference(forward_subsumption_resolution,[status(thm)],[c_17972,c_7715,c_2454]) ).

fof(f84,definition,
    ! [X0,X1] :
      ( sP8(X0,X1)
    <=> ( X1 = n2
        & X0 = push ) ),
    introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).

fof(f85,definition,
    ! [X0,X1] :
      ( sP9(X0,X1)
    <=> ( sP8(X0,X1)
        | ( X1 = n2
          & X0 = pull )
        | ( X1 = n1
          & X0 = pull )
        | ( X1 = n0
          & X0 = push ) ) ),
    introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> sP9(X0,X1) ),
    inference(definition_folding,[],[f16,f85,f84]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ( ~ sP8(X0,X1)
        | ( X1 = n2
          & X0 = push ) )
      & ( n2 != X1
        | push != X0
        | sP8(X0,X1) ) ),
    inference(nnf_transformation,[],[f84]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ( ~ sP8(X0,X1)
        | ( X1 = n2
          & X0 = push ) )
      & ( n2 != X1
        | push != X0
        | sP8(X0,X1) ) ),
    inference(flattening,[],[f112]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( ~ sP8(X0,X1)
      | n2 = X1 ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_122,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = n2 )
      | ~ sP8(X0,X1) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_280,plain,
    ! [X0: $i,X1: $i] :
      ( ~ sP9(X0,X1)
      | ( X0 = push )
      | ( X1 = n1 )
      | ( X1 = n2 ) ),
    inference(global_subsumption_just,[status(thm)],[c_115,c_122,c_115]) ).

tcf(c_281,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = n2 )
      | ( X1 = n1 )
      | ( X0 = push )
      | ~ sP9(X0,X1) ),
    inference(renaming,[status(thm)],[c_280]) ).

tcf(c_2401,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X3 = n2 )
      | ( X3 = n1 )
      | ( X1 = push )
      | ~ happens(X0,X2)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_299,c_281]) ).

tcf(c_2402,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = n2 )
      | ( X1 = n1 )
      | ( X0 = push )
      | ~ happens(X0,X1) ),
    inference(unflattening,[status(thm)],[c_2401]) ).

tcf(c_17993,plain,
    ( ( n0 = n2 )
    | ( pull = push )
    | ( n1 = n0 ) ),
    inference(superposition,[status(thm)],[c_17979,c_2402]) ).

tcf(c_17994,plain,
    ( ( n0 = n2 )
    | ( n1 = n0 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17993,c_125]) ).

tcf(c_17997,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17994,c_3657,c_3639,c_3445,c_189,c_172,c_170]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR016+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n002.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Fri Sep 25 08:10:19 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  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
% 0.09/0.41  
% 0.09/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41  
% 0.09/0.41  % Detected problem language: tptp
% 0.09/0.42  % Proving...
% 3.80/1.27  % SZS status Started for theBenchmark.p
% 3.80/1.27  % SZS status Theorem for theBenchmark.p
% 3.80/1.27  
% 3.80/1.27  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.80/1.27  
% 3.80/1.27  % ------  iProver source info
% 3.80/1.27  
% 3.80/1.27  % git: date: 2026-07-19 20:42:38 +0200
% 3.80/1.27  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.80/1.27  % git: non_committed_changes: false
% 3.80/1.27  
% 3.80/1.27  % ------ Parsing...
% 3.80/1.27  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.80/1.27  
% 3.80/1.27  % ------ 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: 9 0s  sf_e  pe_s  pe_e % 
% 3.80/1.27  
% 3.80/1.27  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.80/1.27  
% 3.80/1.27  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.80/1.27  % ------ Proving...
% 3.80/1.27  % ------ Problem Properties 
% 3.80/1.27  
% 3.80/1.27  % 
% 3.80/1.27  % clauses                               85
% 3.80/1.27  % conjectures                           1
% 3.80/1.27  % EPR                                   68
% 3.80/1.27  % Horn                                  60
% 3.80/1.27  % unary                                 27
% 3.80/1.27  % binary                                35
% 3.80/1.27  % lits                                  182
% 3.80/1.27  % lits eq                               53
% 3.80/1.27  % fd_pure                               0
% 3.80/1.27  % fd_pseudo                             0
% 3.80/1.27  % fd_cond                               18
% 3.80/1.27  % fd_pseudo_cond                        2
% 3.80/1.27  % AC symbols                            0
% 3.80/1.27  
% 3.80/1.27  % ------ Schedule dynamic 5 is on 
% 3.80/1.27  
% 3.80/1.27  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.80/1.27  
% 3.80/1.27  
% 3.80/1.27  % ------ 
% 3.80/1.27  % Current options:
% 3.80/1.27  % ------ 
% 3.80/1.27  
% 3.80/1.27  
% 3.80/1.27  % 
% 3.80/1.27  
% 3.80/1.27  % ------ Proving...
% 3.80/1.27  % 
% 3.80/1.27  
% 3.80/1.27  % SZS status Theorem for theBenchmark.p
% 3.80/1.27  
% 3.80/1.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.80/1.28  
% 3.80/1.28  
%------------------------------------------------------------------------------