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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU221+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n004.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 02:56:10 PM UTC 2026

% Result   : Theorem 4.59s 1.30s
% Output   : CNFRefutation 4.59s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f88ERROR: Could not build tree for root c_7710ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( ( apply(X0,X1) = apply(X0,X2)
              & in(X2,relation_dom(X0))
              & in(X1,relation_dom(X0)) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).

fof(f6,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( function(function_inverse(X0))
        & relation(function_inverse(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1) ).

fof(f36,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ( ( in(X0,relation_rng(X1))
          & one_to_one(X1) )
       => ( X0 = apply(relation_composition(function_inverse(X1),X1),X0)
          & X0 = apply(X1,apply(function_inverse(X1),X0)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_funct_1) ).

fof(f38,conjecture,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( one_to_one(X0)
       => one_to_one(function_inverse(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_funct_1) ).

fof(f39,negated_conjecture,
    ~ ! [X0] :
        ( ( function(X0)
          & relation(X0) )
       => ( one_to_one(X0)
         => one_to_one(function_inverse(X0)) ) ),
    inference(negated_conjecture,[status(cth)],[f38]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( apply(X0,X1) != apply(X0,X2)
            | ~ in(X2,relation_dom(X0))
            | ~ in(X1,relation_dom(X0))
            | X1 = X2 ) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( apply(X0,X1) != apply(X0,X2)
            | ~ in(X2,relation_dom(X0))
            | ~ in(X1,relation_dom(X0))
            | X1 = X2 ) ) ),
    inference(flattening,[],[f52]) ).

fof(f54,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( function(function_inverse(X0))
        & relation(function_inverse(X0)) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( function(function_inverse(X0))
        & relation(function_inverse(X0)) ) ),
    inference(flattening,[],[f54]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ~ in(X0,relation_rng(X1))
      | ~ one_to_one(X1)
      | ( X0 = apply(relation_composition(function_inverse(X1),X1),X0)
        & X0 = apply(X1,apply(function_inverse(X1),X0)) ) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ~ in(X0,relation_rng(X1))
      | ~ one_to_one(X1)
      | ( X0 = apply(relation_composition(function_inverse(X1),X1),X0)
        & X0 = apply(X1,apply(function_inverse(X1),X0)) ) ),
    inference(flattening,[],[f79]) ).

fof(f82,plain,
    ? [X0] :
      ( function(X0)
      & relation(X0)
      & one_to_one(X0)
      & ~ one_to_one(function_inverse(X0)) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f83,plain,
    ? [X0] :
      ( function(X0)
      & relation(X0)
      & one_to_one(X0)
      & ~ one_to_one(function_inverse(X0)) ),
    inference(flattening,[],[f82]) ).

fof(f89,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( ( ~ one_to_one(X0)
          | ! [X1,X2] :
              ( apply(X0,X1) != apply(X0,X2)
              | ~ in(X2,relation_dom(X0))
              | ~ in(X1,relation_dom(X0))
              | X1 = X2 ) )
        & ( ? [X1,X2] :
              ( apply(X0,X1) = apply(X0,X2)
              & in(X2,relation_dom(X0))
              & in(X1,relation_dom(X0))
              & X1 != X2 )
          | one_to_one(X0) ) ) ),
    inference(nnf_transformation,[],[f53]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( ( ~ one_to_one(X0)
          | ! [X3,X4] :
              ( apply(X0,X3) != apply(X0,X4)
              | ~ in(X4,relation_dom(X0))
              | ~ in(X3,relation_dom(X0))
              | X3 = X4 ) )
        & ( ? [X1,X2] :
              ( apply(X0,X1) = apply(X0,X2)
              & in(X2,relation_dom(X0))
              & in(X1,relation_dom(X0))
              & X1 != X2 )
          | one_to_one(X0) ) ) ),
    inference(rectify,[],[f89]) ).

fof(f91,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( ( ~ one_to_one(X0)
          | ! [X3,X4] :
              ( apply(X0,X3) != apply(X0,X4)
              | ~ in(X4,relation_dom(X0))
              | ~ in(X3,relation_dom(X0))
              | X3 = X4 ) )
        & ( ( apply(X0,sK1(X0)) = apply(X0,sK2(X0))
            & in(sK2(X0),relation_dom(X0))
            & in(sK1(X0),relation_dom(X0))
            & sK1(X0) != sK2(X0) )
          | one_to_one(X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0))],[f90]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ~ one_to_one(X0)
      | ! [X1] :
          ( ~ function(X1)
          | ~ relation(X1)
          | ( ( function_inverse(X0) != X1
              | ( ! [X2,X3] :
                    ( sP0(X0,X2,X3,X1)
                    & ( apply(X1,X2) != X3
                      | ~ in(X2,relation_rng(X0))
                      | ( X2 = apply(X0,X3)
                        & in(X3,relation_dom(X0)) ) ) )
                & relation_dom(X1) = relation_rng(X0) ) )
            & ( ? [X2,X3] :
                  ( ~ sP0(X0,X2,X3,X1)
                  | ( apply(X1,X2) = X3
                    & in(X2,relation_rng(X0))
                    & ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) ) ) )
              | relation_rng(X0) != relation_dom(X1)
              | X1 = function_inverse(X0) ) ) ) ),
    inference(nnf_transformation,[],[f88]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ~ one_to_one(X0)
      | ! [X1] :
          ( ~ function(X1)
          | ~ relation(X1)
          | ( ( function_inverse(X0) != X1
              | ( ! [X2,X3] :
                    ( sP0(X0,X2,X3,X1)
                    & ( apply(X1,X2) != X3
                      | ~ in(X2,relation_rng(X0))
                      | ( X2 = apply(X0,X3)
                        & in(X3,relation_dom(X0)) ) ) )
                & relation_dom(X1) = relation_rng(X0) ) )
            & ( ? [X2,X3] :
                  ( ~ sP0(X0,X2,X3,X1)
                  | ( apply(X1,X2) = X3
                    & in(X2,relation_rng(X0))
                    & ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) ) ) )
              | relation_rng(X0) != relation_dom(X1)
              | X1 = function_inverse(X0) ) ) ) ),
    inference(flattening,[],[f106]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ~ one_to_one(X0)
      | ! [X1] :
          ( ~ function(X1)
          | ~ relation(X1)
          | ( ( function_inverse(X0) != X1
              | ( ! [X4,X5] :
                    ( sP0(X0,X4,X5,X1)
                    & ( apply(X1,X4) != X5
                      | ~ in(X4,relation_rng(X0))
                      | ( apply(X0,X5) = X4
                        & in(X5,relation_dom(X0)) ) ) )
                & relation_dom(X1) = relation_rng(X0) ) )
            & ( ? [X2,X3] :
                  ( ~ sP0(X0,X2,X3,X1)
                  | ( apply(X1,X2) = X3
                    & in(X2,relation_rng(X0))
                    & ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) ) ) )
              | relation_rng(X0) != relation_dom(X1)
              | X1 = function_inverse(X0) ) ) ) ),
    inference(rectify,[],[f107]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ~ one_to_one(X0)
      | ! [X1] :
          ( ~ function(X1)
          | ~ relation(X1)
          | ( ( function_inverse(X0) != X1
              | ( ! [X4,X5] :
                    ( sP0(X0,X4,X5,X1)
                    & ( apply(X1,X4) != X5
                      | ~ in(X4,relation_rng(X0))
                      | ( apply(X0,X5) = X4
                        & in(X5,relation_dom(X0)) ) ) )
                & relation_dom(X1) = relation_rng(X0) ) )
            & ( ~ sP0(X0,sK14(X0,X1),sK15(X0,X1),X1)
              | ( sK15(X0,X1) = apply(X1,sK14(X0,X1))
                & in(sK14(X0,X1),relation_rng(X0))
                & ( sK14(X0,X1) != apply(X0,sK15(X0,X1))
                  | ~ in(sK15(X0,X1),relation_dom(X0)) ) )
              | relation_rng(X0) != relation_dom(X1)
              | X1 = function_inverse(X0) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X2,sK14(X0,X1)),skolemize(X3,sK15(X0,X1))],[f108]) ).

fof(f110,plain,
    ( function(sK16)
    & relation(sK16)
    & one_to_one(sK16)
    & ~ one_to_one(function_inverse(sK16)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X0,sK16)],[f83]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | apply(X0,sK1(X0)) = apply(X0,sK2(X0))
      | one_to_one(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f119,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | in(sK2(X0),relation_dom(X0))
      | one_to_one(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f120,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | in(sK1(X0),relation_dom(X0))
      | one_to_one(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f121,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | sK1(X0) != sK2(X0)
      | one_to_one(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f122,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | function(function_inverse(X0)) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f123,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | relation(function_inverse(X0)) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ~ one_to_one(X0)
      | ~ function(X1)
      | ~ relation(X1)
      | function_inverse(X0) != X1
      | relation_rng(X0) = relation_dom(X1) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ~ in(X0,relation_rng(X1))
      | ~ one_to_one(X1)
      | apply(X1,apply(function_inverse(X1),X0)) = X0 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f183,plain,
    function(sK16),
    inference(cnf_transformation,[],[f110]) ).

fof(f184,plain,
    relation(sK16),
    inference(cnf_transformation,[],[f110]) ).

fof(f185,plain,
    one_to_one(sK16),
    inference(cnf_transformation,[],[f110]) ).

fof(f186,plain,
    ~ one_to_one(function_inverse(sK16)),
    inference(cnf_transformation,[],[f110]) ).

fof(f193,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ~ one_to_one(X0)
      | ~ function(function_inverse(X0))
      | ~ relation(function_inverse(X0))
      | relation_rng(X0) = relation_dom(function_inverse(X0)) ),
    inference(equality_resolution,[],[f176]) ).

tcf(c_53,plain,
    ! [X0: $i] :
      ( one_to_one(X0)
      | ~ relation(X0)
      | ~ function(X0)
      | ( sK1(X0) != sK2(X0) ) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_54,plain,
    ! [X0: $i] :
      ( one_to_one(X0)
      | in(sK1(X0),relation_dom(X0))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_55,plain,
    ! [X0: $i] :
      ( one_to_one(X0)
      | in(sK2(X0),relation_dom(X0))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_56,plain,
    ! [X0: $i] :
      ( one_to_one(X0)
      | ( apply(X0,sK1(X0)) = apply(X0,sK2(X0)) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_58,plain,
    ! [X0: $i] :
      ( relation(function_inverse(X0))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_59,plain,
    ! [X0: $i] :
      ( function(function_inverse(X0))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_112,plain,
    ! [X0: $i] :
      ( ( relation_dom(function_inverse(X0)) = relation_rng(X0) )
      | ~ one_to_one(X0)
      | ~ relation(X0)
      | ~ function(X0)
      | ~ relation(function_inverse(X0))
      | ~ function(function_inverse(X0)) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_116,plain,
    ! [X0: $i,X1: $i] :
      ( ( apply(X1,apply(function_inverse(X1),X0)) = X0 )
      | ~ one_to_one(X1)
      | ~ relation(X1)
      | ~ function(X1)
      | ~ in(X0,relation_rng(X1)) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_119,negated_conjecture,
    ~ one_to_one(function_inverse(sK16)),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_120,negated_conjecture,
    one_to_one(sK16),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_121,negated_conjecture,
    relation(sK16),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_122,negated_conjecture,
    function(sK16),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_176,plain,
    ! [X0: $i] :
      ( ( relation_dom(function_inverse(X0)) = relation_rng(X0) )
      | ~ one_to_one(X0)
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_112,c_59,c_58,c_112]) ).

tcf(c_5436,definition,
    iPr_def_10 = function_inverse(sK16),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_5437,negated_conjecture,
    function(sK16),
    inference(demodulation,[status(thm)],[c_122]) ).

tcf(c_5438,negated_conjecture,
    relation(sK16),
    inference(demodulation,[status(thm)],[c_121]) ).

tcf(c_5439,negated_conjecture,
    one_to_one(sK16),
    inference(demodulation,[status(thm)],[c_120]) ).

tcf(c_5440,negated_conjecture,
    ~ one_to_one(iPr_def_10),
    inference(demodulation,[status(thm)],[c_119,c_5436]) ).

tcf(c_6504,plain,
    ( relation(iPr_def_10)
    | ~ relation(sK16)
    | ~ function(sK16) ),
    inference(superposition,[status(thm)],[c_5436,c_58]) ).

tcf(c_6505,plain,
    relation(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_6504,c_5438,c_5437]) ).

tcf(c_6512,plain,
    ( function(iPr_def_10)
    | ~ relation(sK16)
    | ~ function(sK16) ),
    inference(superposition,[status(thm)],[c_5436,c_59]) ).

tcf(c_6513,plain,
    function(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_6512,c_5438,c_5437]) ).

tcf(c_7408,plain,
    ( ( relation_dom(function_inverse(sK16)) = relation_rng(sK16) )
    | ~ relation(sK16)
    | ~ function(sK16) ),
    inference(superposition,[status(thm)],[c_5439,c_176]) ).

tcf(c_7416,plain,
    ( ( relation_dom(iPr_def_10) = relation_rng(sK16) )
    | ~ relation(sK16)
    | ~ function(sK16) ),
    inference(light_normalisation,[status(thm)],[c_7408,c_5436]) ).

tcf(c_7417,plain,
    relation_dom(iPr_def_10) = relation_rng(sK16),
    inference(forward_subsumption_resolution,[status(thm)],[c_7416,c_5438,c_5437]) ).

tcf(c_7491,plain,
    ( one_to_one(iPr_def_10)
    | ( apply(iPr_def_10,sK1(iPr_def_10)) = apply(iPr_def_10,sK2(iPr_def_10)) )
    | ~ relation(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_6513,c_56]) ).

tcf(c_7493,plain,
    apply(iPr_def_10,sK1(iPr_def_10)) = apply(iPr_def_10,sK2(iPr_def_10)),
    inference(forward_subsumption_resolution,[status(thm)],[c_7491,c_5440,c_6505]) ).

tcf(c_7630,plain,
    ! [X0: $i] :
      ( ( apply(sK16,apply(function_inverse(sK16),X0)) = X0 )
      | ~ one_to_one(sK16)
      | ~ relation(sK16)
      | ~ function(sK16)
      | ~ in(X0,relation_dom(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_7417,c_116]) ).

tcf(c_7647,plain,
    ! [X0: $i] :
      ( ( apply(sK16,apply(iPr_def_10,X0)) = X0 )
      | ~ one_to_one(sK16)
      | ~ relation(sK16)
      | ~ function(sK16)
      | ~ in(X0,relation_dom(iPr_def_10)) ),
    inference(light_normalisation,[status(thm)],[c_7630,c_5436]) ).

tcf(c_7648,plain,
    ! [X0: $i] :
      ( ( apply(sK16,apply(iPr_def_10,X0)) = X0 )
      | ~ in(X0,relation_dom(iPr_def_10)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7647,c_5439,c_5438,c_5437]) ).

tcf(c_7698,plain,
    ( one_to_one(iPr_def_10)
    | ( apply(sK16,apply(iPr_def_10,sK1(iPr_def_10))) = sK1(iPr_def_10) )
    | ~ relation(iPr_def_10)
    | ~ function(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_54,c_7648]) ).

tcf(c_7699,plain,
    ( one_to_one(iPr_def_10)
    | ( apply(sK16,apply(iPr_def_10,sK2(iPr_def_10))) = sK2(iPr_def_10) )
    | ~ relation(iPr_def_10)
    | ~ function(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_55,c_7648]) ).

tcf(c_7703,plain,
    ( one_to_one(iPr_def_10)
    | ( apply(sK16,apply(iPr_def_10,sK1(iPr_def_10))) = sK2(iPr_def_10) )
    | ~ relation(iPr_def_10)
    | ~ function(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_7699,c_7493]) ).

tcf(c_7704,plain,
    apply(sK16,apply(iPr_def_10,sK1(iPr_def_10))) = sK2(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_7703,c_5440,c_6505,c_6513]) ).

tcf(c_7705,plain,
    apply(sK16,apply(iPr_def_10,sK1(iPr_def_10))) = sK1(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_7698,c_5440,c_6505,c_6513]) ).

tcf(c_7706,plain,
    sK1(iPr_def_10) = sK2(iPr_def_10),
    inference(demodulation,[status(thm)],[c_7704,c_7705]) ).

tcf(c_7708,plain,
    ( one_to_one(iPr_def_10)
    | ~ relation(iPr_def_10)
    | ~ function(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_7706,c_53]) ).

tcf(c_7710,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_7708,c_5440,c_6505,c_6513]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU221+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n004.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Thu Sep 24 13:15:07 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  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
% 0.10/0.41  
% 0.10/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41  
% 0.10/0.41  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 4.59/1.30  % SZS status Started for theBenchmark.p
% 4.59/1.30  % SZS status Theorem for theBenchmark.p
% 4.59/1.30  
% 4.59/1.30  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.59/1.30  
% 4.59/1.30  % ------  iProver source info
% 4.59/1.30  
% 4.59/1.30  % git: date: 2026-07-19 20:42:38 +0200
% 4.59/1.30  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.59/1.30  % git: non_committed_changes: false
% 4.59/1.30  
% 4.59/1.30  % ------ Parsing...
% 4.59/1.30  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.59/1.30  
% 4.59/1.30  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 4.59/1.30  
% 4.59/1.30  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 4.59/1.30  
% 4.59/1.30  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.59/1.30  % ------ Proving...
% 4.59/1.30  % ------ Problem Properties 
% 4.59/1.30  
% 4.59/1.30  % 
% 4.59/1.30  % clauses                               72
% 4.59/1.30  % conjectures                           4
% 4.59/1.30  % EPR                                   30
% 4.59/1.30  % Horn                                  63
% 4.59/1.30  % unary                                 27
% 4.59/1.30  % binary                                16
% 4.59/1.30  % lits                                  183
% 4.59/1.30  % lits eq                               20
% 4.59/1.30  % fd_pure                               0
% 4.59/1.30  % fd_pseudo                             0
% 4.59/1.30  % fd_cond                               1
% 4.59/1.30  % fd_pseudo_cond                        6
% 4.59/1.30  % AC symbols                            0
% 4.59/1.30  
% 4.59/1.30  % ------ Schedule dynamic 5 is on 
% 4.59/1.30  
% 4.59/1.30  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.59/1.30  
% 4.59/1.30  
% 4.59/1.30  % ------ 
% 4.59/1.30  % Current options:
% 4.59/1.30  % ------ 
% 4.59/1.30  
% 4.59/1.30  
% 4.59/1.30  % 
% 4.59/1.30  
% 4.59/1.30  % ------ Proving...
% 4.59/1.30  % 
% 4.59/1.30  
% 4.59/1.30  % SZS status Theorem for theBenchmark.p
% 4.59/1.30  
% 4.59/1.30  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.59/1.30  
% 4.59/1.30  
%------------------------------------------------------------------------------