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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU221+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n001.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 28.66s 9.85s
% Output   : CNFRefutation 28.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   81 (  25 unt;   1 def)
%            Number of atoms       :  322 (  64 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  313 ( 128   ~; 131   |;  38   &)
%                                         (   3 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   2 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   1 con; 0-2 aty)
%            Number of variables   :   67 (   0 sgn  61   !;   6   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f39,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(f43,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( one_to_one(X0)
       => function_inverse(X0) = relation_inverse(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_funct_1) ).

fof(f51,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(f100,axiom,
    ! [X0] :
      ( relation(X0)
     => relation_inverse(relation_inverse(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).

fof(f175,axiom,
    ! [X0] :
      ( relation(X0)
     => ( relation_dom(X0) = relation_rng(relation_inverse(X0))
        & relation_rng(X0) = relation_dom(relation_inverse(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_relat_1) ).

fof(f205,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(f209,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(f210,negated_conjecture,
    ~ ! [X0] :
        ( ( function(X0)
          & relation(X0) )
       => ( one_to_one(X0)
         => one_to_one(function_inverse(X0)) ) ),
    inference(negated_conjecture,[status(cth)],[f209]) ).

fof(f273,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,[],[f39]) ).

fof(f274,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,[],[f273]) ).

fof(f279,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ~ one_to_one(X0)
      | function_inverse(X0) = relation_inverse(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f280,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ~ one_to_one(X0)
      | function_inverse(X0) = relation_inverse(X0) ),
    inference(flattening,[],[f279]) ).

fof(f281,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( function(function_inverse(X0))
        & relation(function_inverse(X0)) ) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f282,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( function(function_inverse(X0))
        & relation(function_inverse(X0)) ) ),
    inference(flattening,[],[f281]) ).

fof(f318,plain,
    ! [X0] :
      ( ~ relation(X0)
      | relation_inverse(relation_inverse(X0)) = X0 ),
    inference(ennf_transformation,[],[f100]) ).

fof(f386,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ( relation_dom(X0) = relation_rng(relation_inverse(X0))
        & relation_rng(X0) = relation_dom(relation_inverse(X0)) ) ),
    inference(ennf_transformation,[],[f175]) ).

fof(f417,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,[],[f205]) ).

fof(f418,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,[],[f417]) ).

fof(f421,plain,
    ? [X0] :
      ( function(X0)
      & relation(X0)
      & one_to_one(X0)
      & ~ one_to_one(function_inverse(X0)) ),
    inference(ennf_transformation,[],[f210]) ).

fof(f422,plain,
    ? [X0] :
      ( function(X0)
      & relation(X0)
      & one_to_one(X0)
      & ~ one_to_one(function_inverse(X0)) ),
    inference(flattening,[],[f421]) ).

fof(f527,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,[],[f274]) ).

fof(f528,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,[],[f527]) ).

fof(f529,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,sK47(X0)) = apply(X0,sK48(X0))
            & in(sK48(X0),relation_dom(X0))
            & in(sK47(X0),relation_dom(X0))
            & sK47(X0) != sK48(X0) )
          | one_to_one(X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK47,sK48]),skolemize(X1,sK47(X0)),skolemize(X2,sK48(X0))],[f528]) ).

fof(f592,plain,
    ( function(sK77)
    & relation(sK77)
    & one_to_one(sK77)
    & ~ one_to_one(function_inverse(sK77)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK77]),skolemize(X0,sK77)],[f422]) ).

fof(f742,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | apply(X0,sK47(X0)) = apply(X0,sK48(X0))
      | one_to_one(X0) ),
    inference(cnf_transformation,[],[f529]) ).

fof(f743,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | in(sK48(X0),relation_dom(X0))
      | one_to_one(X0) ),
    inference(cnf_transformation,[],[f529]) ).

fof(f744,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | in(sK47(X0),relation_dom(X0))
      | one_to_one(X0) ),
    inference(cnf_transformation,[],[f529]) ).

fof(f745,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | sK47(X0) != sK48(X0)
      | one_to_one(X0) ),
    inference(cnf_transformation,[],[f529]) ).

fof(f758,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ~ one_to_one(X0)
      | relation_inverse(X0) = function_inverse(X0) ),
    inference(cnf_transformation,[],[f280]) ).

fof(f759,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | function(function_inverse(X0)) ),
    inference(cnf_transformation,[],[f282]) ).

fof(f760,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | relation(function_inverse(X0)) ),
    inference(cnf_transformation,[],[f282]) ).

fof(f808,plain,
    ! [X0] :
      ( ~ relation(X0)
      | relation_inverse(relation_inverse(X0)) = X0 ),
    inference(cnf_transformation,[],[f318]) ).

fof(f922,plain,
    ! [X0] :
      ( ~ relation(X0)
      | relation_dom(X0) = relation_rng(relation_inverse(X0)) ),
    inference(cnf_transformation,[],[f386]) ).

fof(f977,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,[],[f418]) ).

fof(f982,plain,
    function(sK77),
    inference(cnf_transformation,[],[f592]) ).

fof(f983,plain,
    relation(sK77),
    inference(cnf_transformation,[],[f592]) ).

fof(f984,plain,
    one_to_one(sK77),
    inference(cnf_transformation,[],[f592]) ).

fof(f985,plain,
    ~ one_to_one(function_inverse(sK77)),
    inference(cnf_transformation,[],[f592]) ).

tcf(c_184,plain,
    ! [X0: $i] :
      ( one_to_one(X0)
      | ~ relation(X0)
      | ~ function(X0)
      | ( sK47(X0) != sK48(X0) ) ),
    inference(cnf_transformation,[],[f745]) ).

tcf(c_185,plain,
    ! [X0: $i] :
      ( one_to_one(X0)
      | in(sK47(X0),relation_dom(X0))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f744]) ).

tcf(c_186,plain,
    ! [X0: $i] :
      ( one_to_one(X0)
      | in(sK48(X0),relation_dom(X0))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f743]) ).

tcf(c_187,plain,
    ! [X0: $i] :
      ( one_to_one(X0)
      | ( apply(X0,sK47(X0)) = apply(X0,sK48(X0)) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f742]) ).

tcf(c_201,plain,
    ! [X0: $i] :
      ( ( relation_inverse(X0) = function_inverse(X0) )
      | ~ one_to_one(X0)
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f758]) ).

tcf(c_202,plain,
    ! [X0: $i] :
      ( relation(function_inverse(X0))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f760]) ).

tcf(c_203,plain,
    ! [X0: $i] :
      ( function(function_inverse(X0))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f759]) ).

tcf(c_251,plain,
    ! [X0: $i] :
      ( ( relation_inverse(relation_inverse(X0)) = X0 )
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f808]) ).

tcf(c_366,plain,
    ! [X0: $i] :
      ( ( relation_rng(relation_inverse(X0)) = relation_dom(X0) )
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f922]) ).

tcf(c_418,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,[],[f977]) ).

tcf(c_424,negated_conjecture,
    ~ one_to_one(function_inverse(sK77)),
    inference(cnf_transformation,[],[f985]) ).

tcf(c_425,negated_conjecture,
    one_to_one(sK77),
    inference(cnf_transformation,[],[f984]) ).

tcf(c_426,negated_conjecture,
    relation(sK77),
    inference(cnf_transformation,[],[f983]) ).

tcf(c_427,negated_conjecture,
    function(sK77),
    inference(cnf_transformation,[],[f982]) ).

tcf(c_15454,definition,
    iPr_def_10 = function_inverse(sK77),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_15455,negated_conjecture,
    function(sK77),
    inference(demodulation,[status(thm)],[c_427]) ).

tcf(c_15456,negated_conjecture,
    relation(sK77),
    inference(demodulation,[status(thm)],[c_426]) ).

tcf(c_15457,negated_conjecture,
    one_to_one(sK77),
    inference(demodulation,[status(thm)],[c_425]) ).

tcf(c_15458,negated_conjecture,
    ~ one_to_one(iPr_def_10),
    inference(demodulation,[status(thm)],[c_424,c_15454]) ).

tcf(c_23092,plain,
    ( relation(iPr_def_10)
    | ~ relation(sK77)
    | ~ function(sK77) ),
    inference(superposition,[status(thm)],[c_15454,c_202]) ).

tcf(c_23093,plain,
    relation(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_23092,c_15456,c_15455]) ).

tcf(c_23100,plain,
    ( function(iPr_def_10)
    | ~ relation(sK77)
    | ~ function(sK77) ),
    inference(superposition,[status(thm)],[c_15454,c_203]) ).

tcf(c_23101,plain,
    function(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_23100,c_15456,c_15455]) ).

tcf(c_23252,plain,
    relation_inverse(relation_inverse(sK77)) = sK77,
    inference(superposition,[status(thm)],[c_15456,c_251]) ).

tcf(c_24659,plain,
    relation_rng(relation_inverse(iPr_def_10)) = relation_dom(iPr_def_10),
    inference(superposition,[status(thm)],[c_23093,c_366]) ).

tcf(c_39130,plain,
    ( ( relation_inverse(sK77) = function_inverse(sK77) )
    | ~ relation(sK77)
    | ~ function(sK77) ),
    inference(superposition,[status(thm)],[c_15457,c_201]) ).

tcf(c_39140,plain,
    ( ( relation_inverse(sK77) = iPr_def_10 )
    | ~ relation(sK77)
    | ~ function(sK77) ),
    inference(light_normalisation,[status(thm)],[c_39130,c_15454]) ).

tcf(c_39141,plain,
    relation_inverse(sK77) = iPr_def_10,
    inference(forward_subsumption_resolution,[status(thm)],[c_39140,c_15456,c_15455]) ).

tcf(c_39221,plain,
    relation_inverse(iPr_def_10) = sK77,
    inference(demodulation,[status(thm)],[c_23252,c_39141]) ).

tcf(c_39227,plain,
    relation_dom(iPr_def_10) = relation_rng(sK77),
    inference(demodulation,[status(thm)],[c_24659,c_39221]) ).

tcf(c_48842,plain,
    ( one_to_one(iPr_def_10)
    | ( apply(iPr_def_10,sK47(iPr_def_10)) = apply(iPr_def_10,sK48(iPr_def_10)) )
    | ~ relation(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_23101,c_187]) ).

tcf(c_48847,plain,
    apply(iPr_def_10,sK47(iPr_def_10)) = apply(iPr_def_10,sK48(iPr_def_10)),
    inference(forward_subsumption_resolution,[status(thm)],[c_48842,c_15458,c_23093]) ).

tcf(c_63385,plain,
    ! [X0: $i] :
      ( ( apply(sK77,apply(function_inverse(sK77),X0)) = X0 )
      | ~ one_to_one(sK77)
      | ~ relation(sK77)
      | ~ function(sK77)
      | ~ in(X0,relation_dom(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_39227,c_418]) ).

tcf(c_63397,plain,
    ! [X0: $i] :
      ( ( apply(sK77,apply(iPr_def_10,X0)) = X0 )
      | ~ one_to_one(sK77)
      | ~ relation(sK77)
      | ~ function(sK77)
      | ~ in(X0,relation_dom(iPr_def_10)) ),
    inference(light_normalisation,[status(thm)],[c_63385,c_15454]) ).

tcf(c_63398,plain,
    ! [X0: $i] :
      ( ( apply(sK77,apply(iPr_def_10,X0)) = X0 )
      | ~ in(X0,relation_dom(iPr_def_10)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_63397,c_15457,c_15456,c_15455]) ).

tcf(c_64422,plain,
    ( one_to_one(iPr_def_10)
    | ( apply(sK77,apply(iPr_def_10,sK47(iPr_def_10))) = sK47(iPr_def_10) )
    | ~ relation(iPr_def_10)
    | ~ function(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_185,c_63398]) ).

tcf(c_64423,plain,
    ( one_to_one(iPr_def_10)
    | ( apply(sK77,apply(iPr_def_10,sK48(iPr_def_10))) = sK48(iPr_def_10) )
    | ~ relation(iPr_def_10)
    | ~ function(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_186,c_63398]) ).

tcf(c_64453,plain,
    ( one_to_one(iPr_def_10)
    | ( apply(sK77,apply(iPr_def_10,sK47(iPr_def_10))) = sK48(iPr_def_10) )
    | ~ relation(iPr_def_10)
    | ~ function(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_64423,c_48847]) ).

tcf(c_64454,plain,
    apply(sK77,apply(iPr_def_10,sK47(iPr_def_10))) = sK48(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_64453,c_15458,c_23093,c_23101]) ).

tcf(c_64455,plain,
    apply(sK77,apply(iPr_def_10,sK47(iPr_def_10))) = sK47(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_64422,c_15458,c_23093,c_23101]) ).

tcf(c_64784,plain,
    sK47(iPr_def_10) = sK48(iPr_def_10),
    inference(demodulation,[status(thm)],[c_64454,c_64455]) ).

tcf(c_64786,plain,
    ( one_to_one(iPr_def_10)
    | ~ relation(iPr_def_10)
    | ~ function(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_64784,c_184]) ).

tcf(c_64788,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_64786,c_15458,c_23093,c_23101]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU221+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.39  % Computer : n001.cluster.edu
% 0.12/5.39  % Model    : x86_64 x86_64
% 0.12/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39  % Memory   : 8046.5625MB
% 0.12/5.39  % OS       : Linux 6.8.0-71-generic
% 0.12/5.39  % CPULimit : 300
% 0.12/5.39  % WCLimit  : 300
% 0.12/5.39  % DateTime : Thu Sep 24 13:21:15 UTC 2026
% 0.12/5.39  % CPUTime  : 
% 0.12/5.39  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.43  Running first-order theorem proving
% 0.16/5.43  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
% 0.16/5.44  
% 0.16/5.44  % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.44  
% 0.16/5.44  % Detected problem language: tptp
% 0.16/5.46  % Proving...
% 28.66/9.85  % SZS status Started for theBenchmark.p
% 28.66/9.85  % SZS status Theorem for theBenchmark.p
% 28.66/9.85  
% 28.66/9.85  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 28.66/9.85  
% 28.66/9.85  % ------  iProver source info
% 28.66/9.85  
% 28.66/9.85  % git: date: 2026-07-19 20:42:38 +0200
% 28.66/9.85  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 28.66/9.85  % git: non_committed_changes: false
% 28.66/9.85  
% 28.66/9.85  % ------ Parsing...
% 28.66/9.85  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 28.66/9.85  
% 28.66/9.85  % ------ Preprocessing... sup_sim: 41  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 28.66/9.85  
% 28.66/9.85  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 28.66/9.85  
% 28.66/9.85  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 28.66/9.85  % ------ Proving...
% 28.66/9.85  % ------ Problem Properties 
% 28.66/9.85  
% 28.66/9.85  % 
% 28.66/9.85  % clauses                               368
% 28.66/9.85  % conjectures                           4
% 28.66/9.85  % EPR                                   48
% 28.66/9.85  % Horn                                  296
% 28.66/9.85  % unary                                 59
% 28.66/9.85  % binary                                114
% 28.66/9.85  % lits                                  1022
% 28.66/9.85  % lits eq                               195
% 28.66/9.85  % fd_pure                               0
% 28.66/9.85  % fd_pseudo                             0
% 28.66/9.85  % fd_cond                               14
% 28.66/9.85  % fd_pseudo_cond                        74
% 28.66/9.85  % AC symbols                            0
% 28.66/9.85  
% 28.66/9.85  % ------ Schedule dynamic 5 is on 
% 28.66/9.85  
% 28.66/9.85  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 28.66/9.85  
% 28.66/9.85  
% 28.66/9.85  % ------ 
% 28.66/9.85  % Current options:
% 28.66/9.85  % ------ 
% 28.66/9.85  
% 28.66/9.85  
% 28.66/9.85  % 
% 28.66/9.85  
% 28.66/9.85  % ------ Proving...
% 28.66/9.85  % 
% 28.66/9.85  
% 28.66/9.85  % SZS status Theorem for theBenchmark.p
% 28.66/9.85  
% 28.66/9.85  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.66/9.85  
% 28.66/9.85  
%------------------------------------------------------------------------------