TSTP Solution File: NUM404+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM404+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:49:10 EDT 2024

% Result   : Theorem 0.46s 1.13s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   88 (   5 unt;   0 def)
%            Number of atoms       :  315 (  25 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  369 ( 142   ~; 152   |;  54   &)
%                                         (  10 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :  147 (   0 sgn  95   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => ~ in(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

fof(f8,axiom,
    ! [X0] :
      ( epsilon_transitive(X0)
    <=> ! [X1] :
          ( in(X1,X0)
         => subset(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).

fof(f9,axiom,
    ! [X0] :
      ( epsilon_connected(X0)
    <=> ! [X1,X2] :
          ~ ( ~ in(X2,X1)
            & X1 != X2
            & ~ in(X1,X2)
            & in(X2,X0)
            & in(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f11,axiom,
    ! [X0] :
      ( ordinal(X0)
    <=> ( epsilon_connected(X0)
        & epsilon_transitive(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_ordinal1) ).

fof(f32,axiom,
    ! [X0,X1] :
      ( ordinal(X1)
     => ( in(X0,X1)
       => ordinal(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_ordinal1) ).

fof(f33,axiom,
    ! [X0] :
      ( ordinal(X0)
     => ! [X1] :
          ( ordinal(X1)
         => ~ ( ~ in(X1,X0)
              & X0 != X1
              & ~ in(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_ordinal1) ).

fof(f35,conjecture,
    ! [X0] :
      ~ ! [X1] :
          ( in(X1,X0)
        <=> ordinal(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_ordinal1) ).

fof(f36,negated_conjecture,
    ~ ! [X0] :
        ~ ! [X1] :
            ( in(X1,X0)
          <=> ordinal(X1) ),
    inference(negated_conjecture,[],[f35]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f62,plain,
    ! [X0] :
      ( epsilon_transitive(X0)
    <=> ! [X1] :
          ( subset(X1,X0)
          | ~ in(X1,X0) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f63,plain,
    ! [X0] :
      ( epsilon_connected(X0)
    <=> ! [X1,X2] :
          ( in(X2,X1)
          | X1 = X2
          | in(X1,X2)
          | ~ in(X2,X0)
          | ~ in(X1,X0) ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ordinal(X0)
      | ~ in(X0,X1)
      | ~ ordinal(X1) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ordinal(X0)
      | ~ in(X0,X1)
      | ~ ordinal(X1) ),
    inference(flattening,[],[f66]) ).

fof(f68,plain,
    ! [X0] :
      ( ! [X1] :
          ( in(X1,X0)
          | X0 = X1
          | in(X0,X1)
          | ~ ordinal(X1) )
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f69,plain,
    ! [X0] :
      ( ! [X1] :
          ( in(X1,X0)
          | X0 = X1
          | in(X0,X1)
          | ~ ordinal(X1) )
      | ~ ordinal(X0) ),
    inference(flattening,[],[f68]) ).

fof(f72,plain,
    ? [X0] :
    ! [X1] :
      ( in(X1,X0)
    <=> ordinal(X1) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f79,plain,
    ! [X0] :
      ( ( epsilon_transitive(X0)
        | ? [X1] :
            ( ~ subset(X1,X0)
            & in(X1,X0) ) )
      & ( ! [X1] :
            ( subset(X1,X0)
            | ~ in(X1,X0) )
        | ~ epsilon_transitive(X0) ) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f80,plain,
    ! [X0] :
      ( ( epsilon_transitive(X0)
        | ? [X1] :
            ( ~ subset(X1,X0)
            & in(X1,X0) ) )
      & ( ! [X2] :
            ( subset(X2,X0)
            | ~ in(X2,X0) )
        | ~ epsilon_transitive(X0) ) ),
    inference(rectify,[],[f79]) ).

fof(f81,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ subset(X1,X0)
          & in(X1,X0) )
     => ( ~ subset(sK0(X0),X0)
        & in(sK0(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f82,plain,
    ! [X0] :
      ( ( epsilon_transitive(X0)
        | ( ~ subset(sK0(X0),X0)
          & in(sK0(X0),X0) ) )
      & ( ! [X2] :
            ( subset(X2,X0)
            | ~ in(X2,X0) )
        | ~ epsilon_transitive(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f80,f81]) ).

fof(f83,plain,
    ! [X0] :
      ( ( epsilon_connected(X0)
        | ? [X1,X2] :
            ( ~ in(X2,X1)
            & X1 != X2
            & ~ in(X1,X2)
            & in(X2,X0)
            & in(X1,X0) ) )
      & ( ! [X1,X2] :
            ( in(X2,X1)
            | X1 = X2
            | in(X1,X2)
            | ~ in(X2,X0)
            | ~ in(X1,X0) )
        | ~ epsilon_connected(X0) ) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f84,plain,
    ! [X0] :
      ( ( epsilon_connected(X0)
        | ? [X1,X2] :
            ( ~ in(X2,X1)
            & X1 != X2
            & ~ in(X1,X2)
            & in(X2,X0)
            & in(X1,X0) ) )
      & ( ! [X3,X4] :
            ( in(X4,X3)
            | X3 = X4
            | in(X3,X4)
            | ~ in(X4,X0)
            | ~ in(X3,X0) )
        | ~ epsilon_connected(X0) ) ),
    inference(rectify,[],[f83]) ).

fof(f85,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( ~ in(X2,X1)
          & X1 != X2
          & ~ in(X1,X2)
          & in(X2,X0)
          & in(X1,X0) )
     => ( ~ in(sK2(X0),sK1(X0))
        & sK1(X0) != sK2(X0)
        & ~ in(sK1(X0),sK2(X0))
        & in(sK2(X0),X0)
        & in(sK1(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f86,plain,
    ! [X0] :
      ( ( epsilon_connected(X0)
        | ( ~ in(sK2(X0),sK1(X0))
          & sK1(X0) != sK2(X0)
          & ~ in(sK1(X0),sK2(X0))
          & in(sK2(X0),X0)
          & in(sK1(X0),X0) ) )
      & ( ! [X3,X4] :
            ( in(X4,X3)
            | X3 = X4
            | in(X3,X4)
            | ~ in(X4,X0)
            | ~ in(X3,X0) )
        | ~ epsilon_connected(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f84,f85]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f87]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK3(X0,X1),X1)
        & in(sK3(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK3(X0,X1),X1)
          & in(sK3(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f88,f89]) ).

fof(f91,plain,
    ! [X0] :
      ( ( ordinal(X0)
        | ~ epsilon_connected(X0)
        | ~ epsilon_transitive(X0) )
      & ( ( epsilon_connected(X0)
          & epsilon_transitive(X0) )
        | ~ ordinal(X0) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f92,plain,
    ! [X0] :
      ( ( ordinal(X0)
        | ~ epsilon_connected(X0)
        | ~ epsilon_transitive(X0) )
      & ( ( epsilon_connected(X0)
          & epsilon_transitive(X0) )
        | ~ ordinal(X0) ) ),
    inference(flattening,[],[f91]) ).

fof(f121,plain,
    ? [X0] :
    ! [X1] :
      ( ( in(X1,X0)
        | ~ ordinal(X1) )
      & ( ordinal(X1)
        | ~ in(X1,X0) ) ),
    inference(nnf_transformation,[],[f72]) ).

fof(f122,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( in(X1,X0)
          | ~ ordinal(X1) )
        & ( ordinal(X1)
          | ~ in(X1,X0) ) )
   => ! [X1] :
        ( ( in(X1,sK18)
          | ~ ordinal(X1) )
        & ( ordinal(X1)
          | ~ in(X1,sK18) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ! [X1] :
      ( ( in(X1,sK18)
        | ~ ordinal(X1) )
      & ( ordinal(X1)
        | ~ in(X1,sK18) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f121,f122]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f137,plain,
    ! [X0] :
      ( epsilon_transitive(X0)
      | in(sK0(X0),X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f138,plain,
    ! [X0] :
      ( epsilon_transitive(X0)
      | ~ subset(sK0(X0),X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f139,plain,
    ! [X3,X0,X4] :
      ( in(X4,X3)
      | X3 = X4
      | in(X3,X4)
      | ~ in(X4,X0)
      | ~ in(X3,X0)
      | ~ epsilon_connected(X0) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f140,plain,
    ! [X0] :
      ( epsilon_connected(X0)
      | in(sK1(X0),X0) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f141,plain,
    ! [X0] :
      ( epsilon_connected(X0)
      | in(sK2(X0),X0) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f142,plain,
    ! [X0] :
      ( epsilon_connected(X0)
      | ~ in(sK1(X0),sK2(X0)) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f143,plain,
    ! [X0] :
      ( epsilon_connected(X0)
      | sK1(X0) != sK2(X0) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f144,plain,
    ! [X0] :
      ( epsilon_connected(X0)
      | ~ in(sK2(X0),sK1(X0)) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | in(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ in(sK3(X0,X1),X1) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f150,plain,
    ! [X0] :
      ( ordinal(X0)
      | ~ epsilon_connected(X0)
      | ~ epsilon_transitive(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( ordinal(X0)
      | ~ in(X0,X1)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( in(X1,X0)
      | X0 = X1
      | in(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f199,plain,
    ! [X1] :
      ( ordinal(X1)
      | ~ in(X1,sK18) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f200,plain,
    ! [X1] :
      ( in(X1,sK18)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f123]) ).

cnf(c_49,plain,
    ( ~ in(X0,X1)
    | ~ in(X1,X0) ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_58,plain,
    ( ~ subset(sK0(X0),X0)
    | epsilon_transitive(X0) ),
    inference(cnf_transformation,[],[f138]) ).

cnf(c_59,plain,
    ( in(sK0(X0),X0)
    | epsilon_transitive(X0) ),
    inference(cnf_transformation,[],[f137]) ).

cnf(c_61,plain,
    ( ~ in(sK2(X0),sK1(X0))
    | epsilon_connected(X0) ),
    inference(cnf_transformation,[],[f144]) ).

cnf(c_62,plain,
    ( sK2(X0) != sK1(X0)
    | epsilon_connected(X0) ),
    inference(cnf_transformation,[],[f143]) ).

cnf(c_63,plain,
    ( ~ in(sK1(X0),sK2(X0))
    | epsilon_connected(X0) ),
    inference(cnf_transformation,[],[f142]) ).

cnf(c_64,plain,
    ( in(sK2(X0),X0)
    | epsilon_connected(X0) ),
    inference(cnf_transformation,[],[f141]) ).

cnf(c_65,plain,
    ( in(sK1(X0),X0)
    | epsilon_connected(X0) ),
    inference(cnf_transformation,[],[f140]) ).

cnf(c_66,plain,
    ( ~ in(X0,X1)
    | ~ in(X2,X1)
    | ~ epsilon_connected(X1)
    | X0 = X2
    | in(X0,X2)
    | in(X2,X0) ),
    inference(cnf_transformation,[],[f139]) ).

cnf(c_67,plain,
    ( ~ in(sK3(X0,X1),X1)
    | subset(X0,X1) ),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_68,plain,
    ( in(sK3(X0,X1),X0)
    | subset(X0,X1) ),
    inference(cnf_transformation,[],[f146]) ).

cnf(c_70,plain,
    ( ~ epsilon_connected(X0)
    | ~ epsilon_transitive(X0)
    | ordinal(X0) ),
    inference(cnf_transformation,[],[f150]) ).

cnf(c_118,plain,
    ( ~ in(X0,X1)
    | ~ ordinal(X1)
    | ordinal(X0) ),
    inference(cnf_transformation,[],[f196]) ).

cnf(c_119,plain,
    ( ~ ordinal(X0)
    | ~ ordinal(X1)
    | X0 = X1
    | in(X0,X1)
    | in(X1,X0) ),
    inference(cnf_transformation,[],[f197]) ).

cnf(c_121,negated_conjecture,
    ( ~ ordinal(X0)
    | in(X0,sK18) ),
    inference(cnf_transformation,[],[f200]) ).

cnf(c_122,negated_conjecture,
    ( ~ in(X0,sK18)
    | ordinal(X0) ),
    inference(cnf_transformation,[],[f199]) ).

cnf(c_2811,negated_conjecture,
    ( ~ in(X0,sK18)
    | ordinal(X0) ),
    inference(demodulation,[status(thm)],[c_122]) ).

cnf(c_2812,negated_conjecture,
    ( ~ ordinal(X0)
    | in(X0,sK18) ),
    inference(demodulation,[status(thm)],[c_121]) ).

cnf(c_3665,plain,
    ( ~ in(sK18,X0)
    | ~ ordinal(X0) ),
    inference(superposition,[status(thm)],[c_2812,c_49]) ).

cnf(c_3673,plain,
    ~ ordinal(sK18),
    inference(superposition,[status(thm)],[c_2812,c_3665]) ).

cnf(c_3736,plain,
    ( ordinal(sK0(sK18))
    | epsilon_transitive(sK18) ),
    inference(superposition,[status(thm)],[c_59,c_2811]) ).

cnf(c_3756,plain,
    ( ordinal(sK1(sK18))
    | epsilon_connected(sK18) ),
    inference(superposition,[status(thm)],[c_65,c_2811]) ).

cnf(c_3859,plain,
    ( ~ in(X0,sK18)
    | ~ ordinal(X1)
    | ~ epsilon_connected(sK18)
    | X0 = X1
    | in(X0,X1)
    | in(X1,X0) ),
    inference(superposition,[status(thm)],[c_2812,c_66]) ).

cnf(c_3958,plain,
    ( ~ ordinal(X1)
    | ~ in(X0,sK18)
    | X0 = X1
    | in(X0,X1)
    | in(X1,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_3859,c_122,c_119]) ).

cnf(c_3959,plain,
    ( ~ in(X0,sK18)
    | ~ ordinal(X1)
    | X0 = X1
    | in(X0,X1)
    | in(X1,X0) ),
    inference(renaming,[status(thm)],[c_3958]) ).

cnf(c_3971,plain,
    ( ~ ordinal(X0)
    | sK2(sK18) = X0
    | in(sK2(sK18),X0)
    | in(X0,sK2(sK18))
    | epsilon_connected(sK18) ),
    inference(superposition,[status(thm)],[c_64,c_3959]) ).

cnf(c_4087,plain,
    ( ~ ordinal(sK1(sK18))
    | sK2(sK18) = sK1(sK18)
    | in(sK2(sK18),sK1(sK18))
    | epsilon_connected(sK18) ),
    inference(superposition,[status(thm)],[c_3971,c_63]) ).

cnf(c_4228,plain,
    ( ~ ordinal(sK3(X0,sK18))
    | subset(X0,sK18) ),
    inference(superposition,[status(thm)],[c_2812,c_67]) ).

cnf(c_4285,plain,
    ( ~ ordinal(X0)
    | ordinal(sK3(X0,X1))
    | subset(X0,X1) ),
    inference(superposition,[status(thm)],[c_68,c_118]) ).

cnf(c_4497,plain,
    ( sK2(sK18) = sK1(sK18)
    | in(sK2(sK18),sK1(sK18))
    | epsilon_connected(sK18) ),
    inference(global_subsumption_just,[status(thm)],[c_4087,c_3756,c_4087]) ).

cnf(c_4502,plain,
    epsilon_connected(sK18),
    inference(forward_subsumption_resolution,[status(thm)],[c_4497,c_61,c_62]) ).

cnf(c_4503,plain,
    ( ~ epsilon_transitive(sK18)
    | ordinal(sK18) ),
    inference(superposition,[status(thm)],[c_4502,c_70]) ).

cnf(c_4504,plain,
    ~ epsilon_transitive(sK18),
    inference(forward_subsumption_resolution,[status(thm)],[c_4503,c_3673]) ).

cnf(c_4509,plain,
    ordinal(sK0(sK18)),
    inference(backward_subsumption_resolution,[status(thm)],[c_3736,c_4504]) ).

cnf(c_6949,plain,
    ( ~ ordinal(X0)
    | subset(X0,sK18) ),
    inference(superposition,[status(thm)],[c_4285,c_4228]) ).

cnf(c_7288,plain,
    ( ~ ordinal(sK0(sK18))
    | epsilon_transitive(sK18) ),
    inference(superposition,[status(thm)],[c_6949,c_58]) ).

cnf(c_7297,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_7288,c_4504,c_4509]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : NUM404+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n016.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 20:08:45 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.46/1.13  % SZS status Started for theBenchmark.p
% 0.46/1.13  % SZS status Theorem for theBenchmark.p
% 0.46/1.13  
% 0.46/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.13  
% 0.46/1.13  ------  iProver source info
% 0.46/1.13  
% 0.46/1.13  git: date: 2024-05-02 19:28:25 +0000
% 0.46/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.46/1.13  git: non_committed_changes: false
% 0.46/1.13  
% 0.46/1.13  ------ Parsing...
% 0.46/1.13  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.46/1.13  
% 0.46/1.13  ------ Preprocessing... sup_sim: 0  sf_s  rm: 22 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 0.46/1.13  
% 0.46/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.46/1.13  
% 0.46/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.46/1.13  ------ Proving...
% 0.46/1.13  ------ Problem Properties 
% 0.46/1.13  
% 0.46/1.13  
% 0.46/1.13  clauses                                 54
% 0.46/1.13  conjectures                             2
% 0.46/1.13  EPR                                     42
% 0.46/1.13  Horn                                    47
% 0.46/1.13  unary                                   22
% 0.46/1.13  binary                                  22
% 0.46/1.13  lits                                    101
% 0.46/1.13  lits eq                                 5
% 0.46/1.13  fd_pure                                 0
% 0.46/1.13  fd_pseudo                               0
% 0.46/1.13  fd_cond                                 1
% 0.46/1.13  fd_pseudo_cond                          3
% 0.46/1.13  AC symbols                              0
% 0.46/1.13  
% 0.46/1.13  ------ Schedule dynamic 5 is on 
% 0.46/1.13  
% 0.46/1.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.46/1.13  
% 0.46/1.13  
% 0.46/1.13  ------ 
% 0.46/1.13  Current options:
% 0.46/1.13  ------ 
% 0.46/1.13  
% 0.46/1.13  
% 0.46/1.13  
% 0.46/1.13  
% 0.46/1.13  ------ Proving...
% 0.46/1.13  
% 0.46/1.13  
% 0.46/1.13  % SZS status Theorem for theBenchmark.p
% 0.46/1.13  
% 0.46/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.13  
% 0.46/1.13  
%------------------------------------------------------------------------------