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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU045+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n010.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 02:55:07 PM UTC 2026

% Result   : Theorem 2.00s 11.29s
% Output   : CNFRefutation 2.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   63 (  20 unt;   6 def)
%            Number of atoms       :  274 (  44 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  307 ( 114   ~; 111   |;  59   &)
%                                         (  11 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   5 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :  131 (   0 sgn 119   !;  12   ?;  28   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f19,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => relation(relation_rng_restriction(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).

fof(f20,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ( function(relation_rng_restriction(X0,X1))
        & relation(relation_rng_restriction(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_funct_1) ).

fof(f33,conjecture,
    ! [X0,X1,X2] :
      ( ( function(X2)
        & relation(X2) )
     => ( in(X1,relation_dom(relation_rng_restriction(X0,X2)))
       => apply(relation_rng_restriction(X0,X2),X1) = apply(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t87_funct_1) ).

fof(f34,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( function(X2)
          & relation(X2) )
       => ( in(X1,relation_dom(relation_rng_restriction(X0,X2)))
         => apply(relation_rng_restriction(X0,X2),X1) = apply(X2,X1) ) ),
    inference(negated_conjecture,[status(cth)],[f33]) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( X1 = relation_rng_restriction(X0,X2)
          <=> ( ! [X3] :
                  ( in(X3,relation_dom(X1))
                 => apply(X1,X3) = apply(X2,X3) )
              & ! [X3] :
                  ( in(X3,relation_dom(X1))
                <=> ( in(apply(X2,X3),X0)
                    & in(X3,relation_dom(X2)) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_funct_1) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( X1 = relation_rng_restriction(X0,X2)
          <=> ( ! [X4] :
                  ( in(X4,relation_dom(X1))
                 => apply(X2,X4) = apply(X1,X4) )
              & ! [X3] :
                  ( in(X3,relation_dom(X1))
                <=> ( in(apply(X2,X3),X0)
                    & in(X3,relation_dom(X2)) ) ) ) ) ) ),
    inference(rectify,[],[f35]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | relation(relation_rng_restriction(X0,X1)) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ( function(relation_rng_restriction(X0,X1))
        & relation(relation_rng_restriction(X0,X1)) ) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ( function(relation_rng_restriction(X0,X1))
        & relation(relation_rng_restriction(X0,X1)) ) ),
    inference(flattening,[],[f60]) ).

fof(f65,plain,
    ? [X0,X1,X2] :
      ( function(X2)
      & relation(X2)
      & in(X1,relation_dom(relation_rng_restriction(X0,X2)))
      & apply(relation_rng_restriction(X0,X2),X1) != apply(X2,X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f66,plain,
    ? [X0,X1,X2] :
      ( function(X2)
      & relation(X2)
      & in(X1,relation_dom(relation_rng_restriction(X0,X2)))
      & apply(relation_rng_restriction(X0,X2),X1) != apply(X2,X1) ),
    inference(flattening,[],[f65]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ! [X2] :
          ( ~ function(X2)
          | ~ relation(X2)
          | ( X1 = relation_rng_restriction(X0,X2)
          <=> ( ! [X4] :
                  ( ~ in(X4,relation_dom(X1))
                  | apply(X2,X4) = apply(X1,X4) )
              & ! [X3] :
                  ( in(X3,relation_dom(X1))
                <=> ( in(apply(X2,X3),X0)
                    & in(X3,relation_dom(X2)) ) ) ) ) ) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ! [X2] :
          ( ~ function(X2)
          | ~ relation(X2)
          | ( X1 = relation_rng_restriction(X0,X2)
          <=> ( ! [X4] :
                  ( ~ in(X4,relation_dom(X1))
                  | apply(X2,X4) = apply(X1,X4) )
              & ! [X3] :
                  ( in(X3,relation_dom(X1))
                <=> ( in(apply(X2,X3),X0)
                    & in(X3,relation_dom(X2)) ) ) ) ) ) ),
    inference(flattening,[],[f67]) ).

fof(f83,plain,
    ( function(sK15)
    & relation(sK15)
    & in(sK14,relation_dom(relation_rng_restriction(sK13,sK15)))
    & apply(relation_rng_restriction(sK13,sK15),sK14) != apply(sK15,sK14) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15)],[f66]) ).

fof(f84,plain,
    ! [X1,X0,X2] :
      ( ~ sP1(X1,X0,X2)
      | ( ( relation_rng_restriction(X0,X2) != X1
          | sP0(X2,X0,X1) )
        & ( ~ sP0(X2,X0,X1)
          | X1 = relation_rng_restriction(X0,X2) ) ) ),
    inference(nnf_transformation,[],[f70]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( ~ sP1(X0,X1,X2)
      | ( ( relation_rng_restriction(X1,X2) != X0
          | sP0(X2,X1,X0) )
        & ( ~ sP0(X2,X1,X0)
          | relation_rng_restriction(X1,X2) = X0 ) ) ),
    inference(rectify,[],[f84]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | relation(relation_rng_restriction(X0,X1)) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | function(relation_rng_restriction(X0,X1)) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | relation(relation_rng_restriction(X0,X1)) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f135,plain,
    function(sK15),
    inference(cnf_transformation,[],[f83]) ).

fof(f136,plain,
    relation(sK15),
    inference(cnf_transformation,[],[f83]) ).

fof(f137,plain,
    in(sK14,relation_dom(relation_rng_restriction(sK13,sK15))),
    inference(cnf_transformation,[],[f83]) ).

fof(f138,plain,
    apply(relation_rng_restriction(sK13,sK15),sK14) != apply(sK15,sK14),
    inference(cnf_transformation,[],[f83]) ).

fof(f139,plain,
    ! [X2,X0,X1] :
      ( ~ sP1(X0,X1,X2)
      | relation_rng_restriction(X1,X2) != X0
      | sP0(X2,X1,X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f151,plain,
    ! [X2,X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ~ function(X2)
      | ~ relation(X2)
      | sP1(X1,X0,X2) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f152,plain,
    ! [X2,X1] :
      ( ~ sP1(relation_rng_restriction(X1,X2),X1,X2)
      | sP0(X2,X1,relation_rng_restriction(X1,X2)) ),
    inference(equality_resolution,[],[f139]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i] :
      ( relation(relation_rng_restriction(X1,X0))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i] :
      ( relation(relation_rng_restriction(X1,X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i] :
      ( function(relation_rng_restriction(X1,X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_92,negated_conjecture,
    apply(relation_rng_restriction(sK13,sK15),sK14) != apply(sK15,sK14),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_93,negated_conjecture,
    in(sK14,relation_dom(relation_rng_restriction(sK13,sK15))),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_94,negated_conjecture,
    relation(sK15),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_95,negated_conjecture,
    function(sK15),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_97,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(X1,X0,relation_rng_restriction(X0,X1))
      | ~ sP1(relation_rng_restriction(X0,X1),X0,X1) ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_108,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sP1(X0,X2,X1)
      | ~ function(X1)
      | ~ function(X0)
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_135,plain,
    ! [X0: $i,X1: $i] :
      ( relation(relation_rng_restriction(X1,X0))
      | ~ relation(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_70,c_69]) ).

tcf(c_590,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( sP0(X1,X0,relation_rng_restriction(X0,X1))
      | ~ function(X4)
      | ~ function(X2)
      | ~ relation(X4)
      | ~ relation(X2)
      | ( X1 != X4 )
      | ( X0 != X3 )
      | ( relation_rng_restriction(X0,X1) != X2 ) ),
    inference(resolution_lifted,[status(thm)],[c_97,c_108]) ).

tcf(c_591,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(X1,X0,relation_rng_restriction(X0,X1))
      | ~ function(X1)
      | ~ relation(X1)
      | ~ function(relation_rng_restriction(X0,X1))
      | ~ relation(relation_rng_restriction(X0,X1)) ),
    inference(unflattening,[status(thm)],[c_590]) ).

tcf(c_603,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(X0,X1,relation_rng_restriction(X1,X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_591,c_71,c_135]) ).

tcf(c_2799,definition,
    iPr_def_10 = relation_rng_restriction(sK13,sK15),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_2800,definition,
    iPr_def_11 = relation_dom(iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_2801,definition,
    iPr_def_12 = apply(iPr_def_10,sK14),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_2802,definition,
    iPr_def_13 = apply(sK15,sK14),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_2803,negated_conjecture,
    function(sK15),
    inference(demodulation,[status(thm)],[c_95]) ).

tcf(c_2804,negated_conjecture,
    relation(sK15),
    inference(demodulation,[status(thm)],[c_94]) ).

tcf(c_2805,negated_conjecture,
    in(sK14,iPr_def_11),
    inference(demodulation,[status(thm)],[c_93,c_2799,c_2800]) ).

tcf(c_2806,negated_conjecture,
    iPr_def_12 != iPr_def_13,
    inference(demodulation,[status(thm)],[c_92,c_2802,c_2801]) ).

tcf(c_4770,plain,
    ( sP0(sK15,sK13,iPr_def_10)
    | ~ function(sK15)
    | ~ relation(sK15) ),
    inference(superposition,[status(thm)],[c_2799,c_603]) ).

tcf(c_4775,plain,
    sP0(sK15,sK13,iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_4770,c_2803,c_2804]) ).

fof(f69,definition,
    ! [X2,X0,X1] :
      ( sP0(X2,X0,X1)
    <=> ( ! [X4] :
            ( ~ in(X4,relation_dom(X1))
            | apply(X2,X4) = apply(X1,X4) )
        & ! [X3] :
            ( in(X3,relation_dom(X1))
          <=> ( in(apply(X2,X3),X0)
              & in(X3,relation_dom(X2)) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f70,definition,
    ! [X1,X0,X2] :
      ( ~ sP1(X1,X0,X2)
      | ( X1 = relation_rng_restriction(X0,X2)
      <=> sP0(X2,X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ! [X2] :
          ( ~ function(X2)
          | ~ relation(X2)
          | sP1(X1,X0,X2) ) ),
    inference(definition_folding,[],[f68,f70,f69]) ).

fof(f86,plain,
    ! [X2,X0,X1] :
      ( ( ~ sP0(X2,X0,X1)
        | ( ! [X4] :
              ( ~ in(X4,relation_dom(X1))
              | apply(X2,X4) = apply(X1,X4) )
          & ! [X3] :
              ( ( ~ in(X3,relation_dom(X1))
                | ( in(apply(X2,X3),X0)
                  & in(X3,relation_dom(X2)) ) )
              & ( ~ in(apply(X2,X3),X0)
                | ~ in(X3,relation_dom(X2))
                | in(X3,relation_dom(X1)) ) ) ) )
      & ( ? [X4] :
            ( in(X4,relation_dom(X1))
            & apply(X2,X4) != apply(X1,X4) )
        | ? [X3] :
            ( ( in(X3,relation_dom(X1))
              | ( in(apply(X2,X3),X0)
                & in(X3,relation_dom(X2)) ) )
            & ( ~ in(X3,relation_dom(X1))
              | ~ in(apply(X2,X3),X0)
              | ~ in(X3,relation_dom(X2)) ) )
        | sP0(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f69]) ).

fof(f87,plain,
    ! [X2,X0,X1] :
      ( ( ~ sP0(X2,X0,X1)
        | ( ! [X4] :
              ( ~ in(X4,relation_dom(X1))
              | apply(X2,X4) = apply(X1,X4) )
          & ! [X3] :
              ( ( ~ in(X3,relation_dom(X1))
                | ( in(apply(X2,X3),X0)
                  & in(X3,relation_dom(X2)) ) )
              & ( ~ in(apply(X2,X3),X0)
                | ~ in(X3,relation_dom(X2))
                | in(X3,relation_dom(X1)) ) ) ) )
      & ( ? [X4] :
            ( in(X4,relation_dom(X1))
            & apply(X2,X4) != apply(X1,X4) )
        | ? [X3] :
            ( ( in(X3,relation_dom(X1))
              | ( in(apply(X2,X3),X0)
                & in(X3,relation_dom(X2)) ) )
            & ( ~ in(X3,relation_dom(X1))
              | ~ in(apply(X2,X3),X0)
              | ~ in(X3,relation_dom(X2)) ) )
        | sP0(X2,X0,X1) ) ),
    inference(flattening,[],[f86]) ).

fof(f88,plain,
    ! [X0,X1,X2] :
      ( ( ~ sP0(X0,X1,X2)
        | ( ! [X6] :
              ( ~ in(X6,relation_dom(X2))
              | apply(X0,X6) = apply(X2,X6) )
          & ! [X5] :
              ( ( ~ in(X5,relation_dom(X2))
                | ( in(apply(X0,X5),X1)
                  & in(X5,relation_dom(X0)) ) )
              & ( ~ in(apply(X0,X5),X1)
                | ~ in(X5,relation_dom(X0))
                | in(X5,relation_dom(X2)) ) ) ) )
      & ( ? [X4] :
            ( in(X4,relation_dom(X2))
            & apply(X2,X4) != apply(X0,X4) )
        | ? [X3] :
            ( ( in(X3,relation_dom(X2))
              | ( in(apply(X0,X3),X1)
                & in(X3,relation_dom(X0)) ) )
            & ( ~ in(X3,relation_dom(X2))
              | ~ in(apply(X0,X3),X1)
              | ~ in(X3,relation_dom(X0)) ) )
        | sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f87]) ).

fof(f89,plain,
    ! [X0,X1,X2] :
      ( ( ~ sP0(X0,X1,X2)
        | ( ! [X6] :
              ( ~ in(X6,relation_dom(X2))
              | apply(X0,X6) = apply(X2,X6) )
          & ! [X5] :
              ( ( ~ in(X5,relation_dom(X2))
                | ( in(apply(X0,X5),X1)
                  & in(X5,relation_dom(X0)) ) )
              & ( ~ in(apply(X0,X5),X1)
                | ~ in(X5,relation_dom(X0))
                | in(X5,relation_dom(X2)) ) ) ) )
      & ( ( in(sK17(X0,X2),relation_dom(X2))
          & apply(X2,sK17(X0,X2)) != apply(X0,sK17(X0,X2)) )
        | ( ( in(sK16(X0,X1,X2),relation_dom(X2))
            | ( in(apply(X0,sK16(X0,X1,X2)),X1)
              & in(sK16(X0,X1,X2),relation_dom(X0)) ) )
          & ( ~ in(sK16(X0,X1,X2),relation_dom(X2))
            | ~ in(apply(X0,sK16(X0,X1,X2)),X1)
            | ~ in(sK16(X0,X1,X2),relation_dom(X0)) ) )
        | sP0(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X3,sK16(X0,X1,X2)),skolemize(X4,sK17(X0,X2))],[f88]) ).

fof(f141,plain,
    ! [X2,X0,X1,X6] :
      ( ~ sP0(X0,X1,X2)
      | ~ in(X6,relation_dom(X2))
      | apply(X0,X6) = apply(X2,X6) ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_107,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( apply(X0,X3) = apply(X2,X3) )
      | ~ in(X3,relation_dom(X2))
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_4802,plain,
    ! [X0: $i] :
      ( ( apply(sK15,X0) = apply(iPr_def_10,X0) )
      | ~ in(X0,relation_dom(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_4775,c_107]) ).

tcf(c_4811,plain,
    ! [X0: $i] :
      ( ( apply(sK15,X0) = apply(iPr_def_10,X0) )
      | ~ in(X0,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_4802,c_2800]) ).

tcf(c_5365,plain,
    apply(sK15,sK14) = apply(iPr_def_10,sK14),
    inference(superposition,[status(thm)],[c_2805,c_4811]) ).

tcf(c_5371,plain,
    iPr_def_12 = iPr_def_13,
    inference(light_normalisation,[status(thm)],[c_5365,c_2801,c_2802]) ).

tcf(c_5372,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_5371,c_2806]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU045+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/10.37  % Computer : n010.cluster.edu
% 0.10/10.37  % Model    : x86_64 x86_64
% 0.10/10.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.37  % Memory   : 8046.5625MB
% 0.10/10.37  % OS       : Linux 6.8.0-71-generic
% 0.10/10.38  % CPULimit : 300
% 0.10/10.38  % WCLimit  : 300
% 0.10/10.38  % DateTime : Thu Sep 24 12:38:40 UTC 2026
% 0.10/10.38  % CPUTime  : 
% 0.10/10.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/10.41  Running first-order theorem proving
% 0.15/10.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/10.42  
% 0.15/10.42  % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.42  
% 0.15/10.43  % Detected problem language: tptp
% 0.15/10.44  % Proving...
% 2.00/11.29  % SZS status Started for theBenchmark.p
% 2.00/11.29  % SZS status Theorem for theBenchmark.p
% 2.00/11.29  
% 2.00/11.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.00/11.29  
% 2.00/11.29  % ------  iProver source info
% 2.00/11.29  
% 2.00/11.29  % git: date: 2026-07-19 20:42:38 +0200
% 2.00/11.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.00/11.29  % git: non_committed_changes: false
% 2.00/11.29  
% 2.00/11.29  % ------ Parsing...
% 2.00/11.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.00/11.29  
% 2.00/11.29  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 2.00/11.29  
% 2.00/11.29  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.00/11.29  
% 2.00/11.29  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.00/11.29  % ------ Proving...
% 2.00/11.29  % ------ Problem Properties 
% 2.00/11.29  
% 2.00/11.29  % 
% 2.00/11.29  % clauses                               58
% 2.00/11.29  % conjectures                           4
% 2.00/11.29  % EPR                                   28
% 2.00/11.29  % Horn                                  51
% 2.00/11.29  % unary                                 29
% 2.00/11.29  % binary                                11
% 2.00/11.29  % lits                                  117
% 2.00/11.29  % lits eq                               12
% 2.00/11.29  % fd_pure                               0
% 2.00/11.29  % fd_pseudo                             0
% 2.00/11.29  % fd_cond                               1
% 2.00/11.29  % fd_pseudo_cond                        2
% 2.00/11.29  % AC symbols                            0
% 2.00/11.29  
% 2.00/11.29  % ------ Schedule dynamic 5 is on 
% 2.00/11.29  
% 2.00/11.29  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.00/11.29  
% 2.00/11.29  
% 2.00/11.29  % ------ 
% 2.00/11.29  % Current options:
% 2.00/11.29  % ------ 
% 2.00/11.29  
% 2.00/11.29  
% 2.00/11.29  % 
% 2.00/11.29  
% 2.00/11.29  % ------ Proving...
% 2.00/11.29  % 
% 2.00/11.29  
% 2.00/11.29  % SZS status Theorem for theBenchmark.p
% 2.00/11.29  
% 2.00/11.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.00/11.29  
% 2.00/11.29  
%------------------------------------------------------------------------------