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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GRA002+3 : TPTP v9.3.1. Bugfixed v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n009.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 01:23:33 PM UTC 2026

% Result   : Theorem 2.01s 1.48s
% Output   : CNFRefutation 2.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   65 (  15 unt;   0 def)
%            Number of atoms       :  236 (  35 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  287 ( 116   ~; 114   |;  43   &)
%                                         (   2 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 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  :   10 (   8 usr;   2 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-3 aty)
%            Number of variables   :  195 (   0 sgn 180   !;  15   ?;  57   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X0,X1,X2] :
      ( path(X1,X2,X0)
     => ! [X3,X4] :
          ( ( ( ? [X5] :
                  ( precedes(X5,X4,X0)
                  & sequential(X3,X5) )
              | sequential(X3,X4) )
            & on_path(X4,X0)
            & on_path(X3,X0) )
         => precedes(X3,X4,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',precedes_defn) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( shortest_path(X0,X1,X2)
    <=> ( ! [X3] :
            ( path(X0,X1,X3)
           => less_or_equal(length_of(X2),length_of(X3)) )
        & X0 != X1
        & path(X0,X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',shortest_path_defn) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( path(X0,X1,X2)
     => number_of_in(sequential_pairs,X2) = minus(length_of(X2),n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',path_length_sequential_pairs) ).

fof(f16,axiom,
    ! [X0,X1,X2] :
      ( ( ! [X3,X4] :
            ( ( sequential(X3,X4)
              & on_path(X4,X0)
              & on_path(X3,X0) )
           => ? [X5] : triangle(X3,X4,X5) )
        & path(X1,X2,X0) )
     => number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sequential_pairs_and_triangles) ).

fof(f17,axiom,
    ! [X0,X1] : less_or_equal(number_of_in(X0,X1),number_of_in(X0,graph)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',graph_has_them_all) ).

fof(f18,axiom,
    ( complete
   => ! [X0,X1,X2,X3,X4] :
        ( ( sequential(X2,X3)
          & precedes(X2,X3,X4)
          & shortest_path(X0,X1,X4) )
       => ? [X5] : triangle(X2,X3,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sequential_is_triangle) ).

fof(f19,conjecture,
    ( complete
   => ! [X0,X1,X2] :
        ( shortest_path(X1,X2,X0)
       => less_or_equal(minus(length_of(X0),n1),number_of_in(triangles,graph)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maximal_path_length) ).

fof(f20,negated_conjecture,
    ~ ( complete
     => ! [X0,X1,X2] :
          ( shortest_path(X1,X2,X0)
         => less_or_equal(minus(length_of(X0),n1),number_of_in(triangles,graph)) ) ),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f21,plain,
    ( ~ complete
    | ! [X0,X1,X2,X3,X4] :
        ( ~ sequential(X2,X3)
        | ~ precedes(X2,X3,X4)
        | ~ shortest_path(X0,X1,X4)
        | ? [X5] : triangle(X2,X3,X5) ) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f22,plain,
    ( ~ complete
    | ! [X0,X1,X2,X3,X4] :
        ( ~ sequential(X2,X3)
        | ~ precedes(X2,X3,X4)
        | ~ shortest_path(X0,X1,X4)
        | ? [X5] : triangle(X2,X3,X5) ) ),
    inference(flattening,[],[f21]) ).

fof(f23,plain,
    ( complete
    & ? [X0,X1,X2] :
        ( shortest_path(X1,X2,X0)
        & ~ less_or_equal(minus(length_of(X0),n1),number_of_in(triangles,graph)) ) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( ~ path(X1,X2,X0)
      | ! [X3,X4] :
          ( ( ! [X5] :
                ( ~ precedes(X5,X4,X0)
                | ~ sequential(X3,X5) )
            & ~ sequential(X3,X4) )
          | ~ on_path(X4,X0)
          | ~ on_path(X3,X0)
          | precedes(X3,X4,X0) ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( ~ path(X1,X2,X0)
      | ! [X3,X4] :
          ( ( ! [X5] :
                ( ~ precedes(X5,X4,X0)
                | ~ sequential(X3,X5) )
            & ~ sequential(X3,X4) )
          | ~ on_path(X4,X0)
          | ~ on_path(X3,X0)
          | precedes(X3,X4,X0) ) ),
    inference(flattening,[],[f27]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( shortest_path(X0,X1,X2)
    <=> ( ! [X3] :
            ( ~ path(X0,X1,X3)
            | less_or_equal(length_of(X2),length_of(X3)) )
        & X0 != X1
        & path(X0,X1,X2) ) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4] :
          ( sequential(X3,X4)
          & on_path(X4,X0)
          & on_path(X3,X0)
          & ! [X5] : ~ triangle(X3,X4,X5) )
      | ~ path(X1,X2,X0)
      | number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4] :
          ( sequential(X3,X4)
          & on_path(X4,X0)
          & on_path(X3,X0)
          & ! [X5] : ~ triangle(X3,X4,X5) )
      | ~ path(X1,X2,X0)
      | number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0) ),
    inference(flattening,[],[f32]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( ~ path(X0,X1,X2)
      | number_of_in(sequential_pairs,X2) = minus(length_of(X2),n1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f37,plain,
    ( ~ complete
    | ! [X0,X1,X2,X3,X4] :
        ( ~ sequential(X2,X3)
        | ~ precedes(X2,X3,X4)
        | ~ shortest_path(X0,X1,X4)
        | triangle(X2,X3,sK0(X2,X3)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X5,sK0(X2,X3))],[f22]) ).

fof(f38,plain,
    ( complete
    & shortest_path(sK2,sK3,sK1)
    & ~ less_or_equal(minus(length_of(sK1),n1),number_of_in(triangles,graph)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f23]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ( ~ shortest_path(X0,X1,X2)
        | ( ! [X3] :
              ( ~ path(X0,X1,X3)
              | less_or_equal(length_of(X2),length_of(X3)) )
          & X0 != X1
          & path(X0,X1,X2) ) )
      & ( ? [X3] :
            ( path(X0,X1,X3)
            & ~ less_or_equal(length_of(X2),length_of(X3)) )
        | X0 = X1
        | ~ path(X0,X1,X2)
        | shortest_path(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( ( ~ shortest_path(X0,X1,X2)
        | ( ! [X3] :
              ( ~ path(X0,X1,X3)
              | less_or_equal(length_of(X2),length_of(X3)) )
          & X0 != X1
          & path(X0,X1,X2) ) )
      & ( ? [X3] :
            ( path(X0,X1,X3)
            & ~ less_or_equal(length_of(X2),length_of(X3)) )
        | X0 = X1
        | ~ path(X0,X1,X2)
        | shortest_path(X0,X1,X2) ) ),
    inference(flattening,[],[f48]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ( ~ shortest_path(X0,X1,X2)
        | ( ! [X4] :
              ( ~ path(X0,X1,X4)
              | less_or_equal(length_of(X2),length_of(X4)) )
          & X0 != X1
          & path(X0,X1,X2) ) )
      & ( ? [X3] :
            ( path(X0,X1,X3)
            & ~ less_or_equal(length_of(X2),length_of(X3)) )
        | X0 = X1
        | ~ path(X0,X1,X2)
        | shortest_path(X0,X1,X2) ) ),
    inference(rectify,[],[f49]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( ( ~ shortest_path(X0,X1,X2)
        | ( ! [X4] :
              ( ~ path(X0,X1,X4)
              | less_or_equal(length_of(X2),length_of(X4)) )
          & X0 != X1
          & path(X0,X1,X2) ) )
      & ( ( path(X0,X1,sK6(X0,X1,X2))
          & ~ less_or_equal(length_of(X2),length_of(sK6(X0,X1,X2))) )
        | X0 = X1
        | ~ path(X0,X1,X2)
        | shortest_path(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X3,sK6(X0,X1,X2))],[f50]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( ( sequential(sK7(X0),sK8(X0))
        & on_path(sK8(X0),X0)
        & on_path(sK7(X0),X0)
        & ! [X5] : ~ triangle(sK7(X0),sK8(X0),X5) )
      | ~ path(X1,X2,X0)
      | number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X3,sK7(X0)),skolemize(X4,sK8(X0))],[f33]) ).

fof(f55,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ complete
      | ~ sequential(X2,X3)
      | ~ precedes(X2,X3,X4)
      | ~ shortest_path(X0,X1,X4)
      | triangle(X2,X3,sK0(X2,X3)) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f56,plain,
    complete,
    inference(cnf_transformation,[],[f38]) ).

fof(f57,plain,
    shortest_path(sK2,sK3,sK1),
    inference(cnf_transformation,[],[f38]) ).

fof(f58,plain,
    ~ less_or_equal(minus(length_of(sK1),n1),number_of_in(triangles,graph)),
    inference(cnf_transformation,[],[f38]) ).

fof(f71,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ path(X1,X2,X0)
      | ~ sequential(X3,X4)
      | ~ on_path(X4,X0)
      | ~ on_path(X3,X0)
      | precedes(X3,X4,X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f81,plain,
    ! [X2,X0,X1] :
      ( ~ shortest_path(X0,X1,X2)
      | path(X0,X1,X2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f84,plain,
    ! [X2,X0,X1] :
      ( sequential(sK7(X0),sK8(X0))
      | ~ path(X1,X2,X0)
      | number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f85,plain,
    ! [X2,X0,X1] :
      ( on_path(sK8(X0),X0)
      | ~ path(X1,X2,X0)
      | number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f86,plain,
    ! [X2,X0,X1] :
      ( on_path(sK7(X0),X0)
      | ~ path(X1,X2,X0)
      | number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f87,plain,
    ! [X2,X0,X1,X5] :
      ( ~ triangle(sK7(X0),sK8(X0),X5)
      | ~ path(X1,X2,X0)
      | number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f95,plain,
    ! [X2,X0,X1] :
      ( ~ path(X0,X1,X2)
      | number_of_in(sequential_pairs,X2) = minus(length_of(X2),n1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f96,plain,
    ! [X0,X1] : less_or_equal(number_of_in(X0,X1),number_of_in(X0,graph)),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( triangle(X3,X4,sK0(X3,X4))
      | ~ complete
      | ~ sequential(X3,X4)
      | ~ precedes(X3,X4,X2)
      | ~ shortest_path(X0,X1,X2) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_50,negated_conjecture,
    ~ less_or_equal(minus(length_of(sK1),n1),number_of_in(triangles,graph)),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_51,negated_conjecture,
    shortest_path(sK2,sK3,sK1),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_52,negated_conjecture,
    complete,
    inference(cnf_transformation,[],[f56]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( precedes(X3,X4,X2)
      | ~ on_path(X4,X2)
      | ~ on_path(X3,X2)
      | ~ sequential(X3,X4)
      | ~ path(X0,X1,X2) ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( path(X0,X1,X2)
      | ~ shortest_path(X0,X1,X2) ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_78,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0) )
      | ~ path(X2,X3,X0)
      | ~ triangle(sK7(X0),sK8(X0),X1) ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_79,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( on_path(sK7(X2),X2)
      | ( number_of_in(triangles,X2) = number_of_in(sequential_pairs,X2) )
      | ~ path(X0,X1,X2) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( on_path(sK8(X2),X2)
      | ( number_of_in(triangles,X2) = number_of_in(sequential_pairs,X2) )
      | ~ path(X0,X1,X2) ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_81,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sequential(sK7(X2),sK8(X2))
      | ( number_of_in(triangles,X2) = number_of_in(sequential_pairs,X2) )
      | ~ path(X0,X1,X2) ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_89,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( minus(length_of(X2),n1) = number_of_in(sequential_pairs,X2) )
      | ~ path(X0,X1,X2) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_90,plain,
    ! [X0: $i,X1: $i] : less_or_equal(number_of_in(X0,X1),number_of_in(X0,graph)),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_119,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( triangle(X3,X4,sK0(X3,X4))
      | ~ shortest_path(X0,X1,X2)
      | ~ precedes(X3,X4,X2)
      | ~ sequential(X3,X4) ),
    inference(global_subsumption_just,[status(thm)],[c_49,c_52,c_49]) ).

tcf(c_120,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( triangle(X3,X4,sK0(X3,X4))
      | ~ sequential(X3,X4)
      | ~ precedes(X3,X4,X2)
      | ~ shortest_path(X0,X1,X2) ),
    inference(renaming,[status(thm)],[c_119]) ).

tcf(c_2976,plain,
    path(sK2,sK3,sK1),
    inference(superposition,[status(thm)],[c_51,c_75]) ).

tcf(c_3001,plain,
    minus(length_of(sK1),n1) = number_of_in(sequential_pairs,sK1),
    inference(superposition,[status(thm)],[c_2976,c_89]) ).

tcf(c_3002,plain,
    ~ less_or_equal(number_of_in(sequential_pairs,sK1),number_of_in(triangles,graph)),
    inference(demodulation,[status(thm)],[c_50,c_3001]) ).

tcf(c_3053,plain,
    ( on_path(sK7(sK1),sK1)
    | ( number_of_in(triangles,sK1) = number_of_in(sequential_pairs,sK1) ) ),
    inference(superposition,[status(thm)],[c_2976,c_79]) ).

tcf(c_3062,plain,
    ( on_path(sK8(sK1),sK1)
    | ( number_of_in(triangles,sK1) = number_of_in(sequential_pairs,sK1) ) ),
    inference(superposition,[status(thm)],[c_2976,c_80]) ).

tcf(c_3381,plain,
    ! [X0: $i,X1: $i] :
      ( precedes(X0,X1,sK1)
      | ~ on_path(X1,sK1)
      | ~ on_path(X0,sK1)
      | ~ sequential(X0,X1) ),
    inference(superposition,[status(thm)],[c_2976,c_64]) ).

tcf(c_3640,plain,
    ! [X0: $i,X1: $i] :
      ( triangle(X0,X1,sK0(X0,X1))
      | ~ sequential(X0,X1)
      | ~ precedes(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_51,c_120]) ).

tcf(c_3651,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0) )
      | ~ path(X1,X2,X0)
      | ~ sequential(sK7(X0),sK8(X0))
      | ~ precedes(sK7(X0),sK8(X0),sK1) ),
    inference(superposition,[status(thm)],[c_3640,c_78]) ).

tcf(c_3790,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0) )
      | ~ path(X1,X2,X0)
      | ~ precedes(sK7(X0),sK8(X0),sK1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3651,c_81]) ).

tcf(c_3800,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0) )
      | ~ on_path(sK8(X0),sK1)
      | ~ on_path(sK7(X0),sK1)
      | ~ path(X1,X2,X0)
      | ~ sequential(sK7(X0),sK8(X0)) ),
    inference(superposition,[status(thm)],[c_3381,c_3790]) ).

tcf(c_4279,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( number_of_in(triangles,X2) = number_of_in(sequential_pairs,X2) )
      | ~ on_path(sK8(X2),sK1)
      | ~ on_path(sK7(X2),sK1)
      | ~ path(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3800,c_81]) ).

tcf(c_4293,plain,
    ( ( number_of_in(triangles,sK1) = number_of_in(sequential_pairs,sK1) )
    | ~ on_path(sK8(sK1),sK1)
    | ~ on_path(sK7(sK1),sK1) ),
    inference(superposition,[status(thm)],[c_2976,c_4279]) ).

tcf(c_4303,plain,
    number_of_in(triangles,sK1) = number_of_in(sequential_pairs,sK1),
    inference(global_subsumption_just,[status(thm)],[c_4293,c_3053,c_3062,c_4293]) ).

tcf(c_4310,plain,
    ~ less_or_equal(number_of_in(triangles,sK1),number_of_in(triangles,graph)),
    inference(demodulation,[status(thm)],[c_3002,c_4303]) ).

tcf(c_4311,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_4310,c_90]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRA002+3 : TPTP v9.3.1. Bugfixed v3.2.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.39  % Computer : n009.cluster.edu
% 0.14/0.39  % Model    : x86_64 x86_64
% 0.14/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39  % Memory   : 8046.5625MB
% 0.14/0.39  % OS       : Linux 6.8.0-71-generic
% 0.14/0.39  % CPULimit : 300
% 0.14/0.39  % WCLimit  : 300
% 0.14/0.39  % DateTime : Wed Sep 23 12:42:13 UTC 2026
% 0.14/0.40  % CPUTime  : 
% 0.14/0.40  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.46  Running first-order theorem proving
% 0.17/0.46  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
% 0.17/0.48  
% 0.17/0.48  % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.48  
% 0.17/0.48  % Detected problem language: tptp
% 0.17/0.50  % Proving...
% 2.01/1.48  % SZS status Started for theBenchmark.p
% 2.01/1.48  % SZS status Theorem for theBenchmark.p
% 2.01/1.48  
% 2.01/1.48  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.01/1.48  
% 2.01/1.48  % ------  iProver source info
% 2.01/1.48  
% 2.01/1.48  % git: date: 2026-07-19 20:42:38 +0200
% 2.01/1.48  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.01/1.48  % git: non_committed_changes: false
% 2.01/1.48  
% 2.01/1.48  % ------ Parsing...
% 2.01/1.48  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.01/1.48  
% 2.01/1.48  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 2.01/1.48  
% 2.01/1.48  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.01/1.48  
% 2.01/1.48  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.01/1.48  % ------ Proving...
% 2.01/1.48  % ------ Problem Properties 
% 2.01/1.48  
% 2.01/1.48  % 
% 2.01/1.48  % clauses                               44
% 2.01/1.48  % conjectures                           2
% 2.01/1.48  % EPR                                   19
% 2.01/1.48  % Horn                                  31
% 2.01/1.48  % unary                                 5
% 2.01/1.48  % binary                                14
% 2.01/1.48  % lits                                  136
% 2.01/1.48  % lits eq                               31
% 2.01/1.48  % fd_pure                               0
% 2.01/1.48  % fd_pseudo                             0
% 2.01/1.48  % fd_cond                               0
% 2.01/1.48  % fd_pseudo_cond                        5
% 2.01/1.48  % AC symbols                            0
% 2.01/1.48  
% 2.01/1.48  % ------ Schedule dynamic 5 is on 
% 2.01/1.48  
% 2.01/1.48  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.01/1.48  
% 2.01/1.48  
% 2.01/1.48  % ------ 
% 2.01/1.48  % Current options:
% 2.01/1.48  % ------ 
% 2.01/1.48  
% 2.01/1.48  
% 2.01/1.48  % 
% 2.01/1.48  
% 2.01/1.48  % ------ Proving...
% 2.01/1.48  % 
% 2.01/1.48  
% 2.01/1.48  % SZS status Theorem for theBenchmark.p
% 2.01/1.48  
% 2.01/1.48  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.01/1.48  
% 2.01/1.48  
%------------------------------------------------------------------------------