TSTP Solution File: SYO079^5 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SYO079^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n011.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  : 600s
% DateTime : Thu Jul 21 17:32:04 EDT 2022

% Result   : Theorem 0.14s 0.40s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    4
% Syntax   : Number of formulae    :  113 (  73 unt;   3 typ;   0 def)
%            Number of atoms       :  748 ( 160 equ;   0 cnn)
%            Maximal formula atoms :    6 (   6 avg)
%            Number of connectives :  619 ( 301   ~; 274   |;  17   &;   0   @)
%                                         (  20 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_cP,type,
    cP: $o ).

thf(tp_cQ,type,
    cQ: $o ).

thf(tp_cR,type,
    cR: $o ).

thf(1,conjecture,
    ( ( ( cP
      <=> cQ )
    <=> cR )
   => ( cP
    <=> ( cQ
      <=> cR ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM50_A) ).

thf(2,negated_conjecture,
    ( ( ( ( cP
        <=> cQ )
      <=> cR )
     => ( cP
      <=> ( cQ
        <=> cR ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ( ( cP
        <=> cQ )
      <=> cR )
     => ( cP
      <=> ( cQ
        <=> cR ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ( cP
      <=> cQ )
    <=> cR )
    = $true ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(5,plain,
    ( ( cP
    <=> ( cQ
      <=> cR ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(6,plain,
    ( ( cP
     => ( cQ
      <=> cR ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[5]) ).

thf(7,plain,
    ( ( ( cQ
      <=> cR )
     => cP )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[5]) ).

thf(8,plain,
    ( ( ~ ( cP
         => ( cQ
          <=> cR ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[6]) ).

thf(9,plain,
    ( ( ~ ( ( cQ
          <=> cR )
         => cP ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[7]) ).

thf(10,plain,
    ( ( cP
      & ( ~ cQ
        | ~ cR )
      & ( cQ
        | cR ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[8]) ).

thf(11,plain,
    ( ( ( ~ cQ
        | cR )
      & ( ~ cR
        | cQ )
      & ~ cP )
    = $true ),
    inference(extcnf_combined,[status(esa)],[9]) ).

thf(12,plain,
    ( ( ( ~ cP
        | ~ cQ
        | cR )
      & ( cP
        | cQ
        | cR )
      & ( ~ cR
        | ~ cP
        | cQ )
      & ( ~ cR
        | ~ cQ
        | cP ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[4]) ).

thf(13,plain,
    ( ( ( ~ cP
        | ~ cQ
        | cR )
      & ( cP
        | cQ
        | cR )
      & ( ~ cR
        | ~ cP
        | cQ )
      & ( ~ cR
        | ~ cQ
        | cP ) )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(14,plain,
    ( ( cP
      & ( ~ cQ
        | ~ cR )
      & ( cQ
        | cR ) )
    = $true ),
    inference(copy,[status(thm)],[10]) ).

thf(15,plain,
    ( ( ~ ( ~ cP
          | ~ ~ ( ~ ( ~ cQ
                    | ~ cR )
                | ~ ( cQ
                    | cR ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(16,plain,
    ( ( ~ ( ~ ~ ( ~ ( ~ cP
                    | ~ cQ
                    | cR )
                | ~ ( cP
                    | cQ
                    | cR ) )
          | ~ ~ ( ~ ( ~ cR
                    | ~ cP
                    | cQ )
                | ~ ( ~ cR
                    | ~ cQ
                    | cP ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(17,plain,
    ( ( ~ cP
      | ~ ~ ( ~ ( ~ cQ
                | ~ cR )
            | ~ ( cQ
                | cR ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[15]) ).

thf(18,plain,
    ( ( ~ ~ ( ~ ( ~ cP
                | ~ cQ
                | cR )
            | ~ ( cP
                | cQ
                | cR ) )
      | ~ ~ ( ~ ( ~ cR
                | ~ cP
                | cQ )
            | ~ ( ~ cR
                | ~ cQ
                | cP ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[16]) ).

thf(19,plain,
    ( ( ~ cP )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[17]) ).

thf(20,plain,
    ( ( ~ ~ ( ~ ( ~ cQ
                | ~ cR )
            | ~ ( cQ
                | cR ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[17]) ).

thf(21,plain,
    ( ( ~ ~ ( ~ ( ~ cP
                | ~ cQ
                | cR )
            | ~ ( cP
                | cQ
                | cR ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[18]) ).

thf(22,plain,
    ( ( ~ ~ ( ~ ( ~ cR
                | ~ cP
                | cQ )
            | ~ ( ~ cR
                | ~ cQ
                | cP ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[18]) ).

thf(23,plain,
    cP = $true,
    inference(extcnf_not_neg,[status(thm)],[19]) ).

thf(24,plain,
    ( ( ~ ( ~ ( ~ cQ
              | ~ cR )
          | ~ ( cQ
              | cR ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[20]) ).

thf(25,plain,
    ( ( ~ ( ~ ( ~ cP
              | ~ cQ
              | cR )
          | ~ ( cP
              | cQ
              | cR ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[21]) ).

thf(26,plain,
    ( ( ~ ( ~ ( ~ cR
              | ~ cP
              | cQ )
          | ~ ( ~ cR
              | ~ cQ
              | cP ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[22]) ).

thf(27,plain,
    ( ( ~ ( ~ cQ
          | ~ cR )
      | ~ ( cQ
          | cR ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[24]) ).

thf(28,plain,
    ( ( ~ ( ~ cP
          | ~ cQ
          | cR )
      | ~ ( cP
          | cQ
          | cR ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[25]) ).

thf(29,plain,
    ( ( ~ ( ~ cR
          | ~ cP
          | cQ )
      | ~ ( ~ cR
          | ~ cQ
          | cP ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[26]) ).

thf(30,plain,
    ( ( ~ ( ~ cQ
          | ~ cR ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[27]) ).

thf(31,plain,
    ( ( ~ ( cQ
          | cR ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[27]) ).

thf(32,plain,
    ( ( ~ ( ~ cP
          | ~ cQ
          | cR ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[28]) ).

thf(33,plain,
    ( ( ~ ( cP
          | cQ
          | cR ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[28]) ).

thf(34,plain,
    ( ( ~ ( ~ cR
          | ~ cP
          | cQ ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[29]) ).

thf(35,plain,
    ( ( ~ ( ~ cR
          | ~ cQ
          | cP ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[29]) ).

thf(36,plain,
    ( ( ~ cQ
      | ~ cR )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[30]) ).

thf(37,plain,
    ( ( cQ
      | cR )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[31]) ).

thf(38,plain,
    ( ( ~ cP
      | ~ cQ
      | cR )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[32]) ).

thf(39,plain,
    ( ( cP
      | cQ
      | cR )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[33]) ).

thf(40,plain,
    ( ( ~ cR
      | ~ cP
      | cQ )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[34]) ).

thf(41,plain,
    ( ( ~ cR
      | ~ cQ
      | cP )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[35]) ).

thf(42,plain,
    ( ( ( ~ cQ )
      = $true )
    | ( ( ~ cR )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[36]) ).

thf(43,plain,
    ( ( cQ = $true )
    | ( cR = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[37]) ).

thf(44,plain,
    ( ( ( ~ cP
        | ~ cQ )
      = $true )
    | ( cR = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[38]) ).

thf(45,plain,
    ( ( ( cP
        | cQ )
      = $true )
    | ( cR = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[39]) ).

thf(46,plain,
    ( ( ( ~ cR )
      = $true )
    | ( ( ~ cP
        | cQ )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[40]) ).

thf(47,plain,
    ( ( ( ~ cR )
      = $true )
    | ( ( ~ cQ
        | cP )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[41]) ).

thf(48,plain,
    ( ( cQ = $false )
    | ( ( ~ cR )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[42]) ).

thf(49,plain,
    ( ( ( ~ cP )
      = $true )
    | ( ( ~ cQ )
      = $true )
    | ( cR = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[44]) ).

thf(50,plain,
    ( ( cP = $true )
    | ( cQ = $true )
    | ( cR = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[45]) ).

thf(51,plain,
    ( ( cR = $false )
    | ( ( ~ cP
        | cQ )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[46]) ).

thf(52,plain,
    ( ( cR = $false )
    | ( ( ~ cQ
        | cP )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[47]) ).

thf(53,plain,
    ( ( cR = $false )
    | ( cQ = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[48]) ).

thf(54,plain,
    ( ( cP = $false )
    | ( ( ~ cQ )
      = $true )
    | ( cR = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[49]) ).

thf(55,plain,
    ( ( ( ~ cP )
      = $true )
    | ( cQ = $true )
    | ( cR = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[51]) ).

thf(56,plain,
    ( ( ( ~ cQ )
      = $true )
    | ( cP = $true )
    | ( cR = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[52]) ).

thf(57,plain,
    ( ( cQ = $false )
    | ( cP = $false )
    | ( cR = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[54]) ).

thf(58,plain,
    ( ( cP = $false )
    | ( cQ = $true )
    | ( cR = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(59,plain,
    ( ( cQ = $false )
    | ( cP = $true )
    | ( cR = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[56]) ).

thf(60,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[23,59,58,57,53,50,43]) ).

thf(61,plain,
    ( ( ( ~ cP
        | ~ cQ
        | cR )
      & ( cP
        | cQ
        | cR )
      & ( ~ cR
        | ~ cP
        | cQ )
      & ( ~ cR
        | ~ cQ
        | cP ) )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(62,plain,
    ( ( ( ~ cQ
        | cR )
      & ( ~ cR
        | cQ )
      & ~ cP )
    = $true ),
    inference(copy,[status(thm)],[11]) ).

thf(63,plain,
    ( ( ~ ( ~ ~ ( ~ ( ~ cP
                    | ~ cQ
                    | cR )
                | ~ ( cP
                    | cQ
                    | cR ) )
          | ~ ~ ( ~ ( ~ cR
                    | ~ cP
                    | cQ )
                | ~ ( ~ cR
                    | ~ cQ
                    | cP ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(64,plain,
    ( ( ~ ( ~ ~ ( ~ ( ~ cQ
                    | cR )
                | ~ ( ~ cR
                    | cQ ) )
          | ~ ~ cP ) )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(65,plain,
    ( ( ~ ~ ( ~ ( ~ cP
                | ~ cQ
                | cR )
            | ~ ( cP
                | cQ
                | cR ) )
      | ~ ~ ( ~ ( ~ cR
                | ~ cP
                | cQ )
            | ~ ( ~ cR
                | ~ cQ
                | cP ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[63]) ).

thf(66,plain,
    ( ( ~ ~ ( ~ ( ~ cQ
                | cR )
            | ~ ( ~ cR
                | cQ ) )
      | ~ ~ cP )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[64]) ).

thf(67,plain,
    ( ( ~ ~ ( ~ ( ~ cP
                | ~ cQ
                | cR )
            | ~ ( cP
                | cQ
                | cR ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[65]) ).

thf(68,plain,
    ( ( ~ ~ ( ~ ( ~ cR
                | ~ cP
                | cQ )
            | ~ ( ~ cR
                | ~ cQ
                | cP ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[65]) ).

thf(69,plain,
    ( ( ~ ~ ( ~ ( ~ cQ
                | cR )
            | ~ ( ~ cR
                | cQ ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[66]) ).

thf(70,plain,
    ( ( ~ ~ cP )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[66]) ).

thf(71,plain,
    ( ( ~ ( ~ ( ~ cP
              | ~ cQ
              | cR )
          | ~ ( cP
              | cQ
              | cR ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[67]) ).

thf(72,plain,
    ( ( ~ ( ~ ( ~ cR
              | ~ cP
              | cQ )
          | ~ ( ~ cR
              | ~ cQ
              | cP ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[68]) ).

thf(73,plain,
    ( ( ~ ( ~ ( ~ cQ
              | cR )
          | ~ ( ~ cR
              | cQ ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[69]) ).

thf(74,plain,
    ( ( ~ cP )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[70]) ).

thf(75,plain,
    ( ( ~ ( ~ cP
          | ~ cQ
          | cR )
      | ~ ( cP
          | cQ
          | cR ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[71]) ).

thf(76,plain,
    ( ( ~ ( ~ cR
          | ~ cP
          | cQ )
      | ~ ( ~ cR
          | ~ cQ
          | cP ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[72]) ).

thf(77,plain,
    ( ( ~ ( ~ cQ
          | cR )
      | ~ ( ~ cR
          | cQ ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[73]) ).

thf(78,plain,
    cP = $false,
    inference(extcnf_not_pos,[status(thm)],[74]) ).

thf(79,plain,
    ( ( ~ ( ~ cP
          | ~ cQ
          | cR ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[75]) ).

thf(80,plain,
    ( ( ~ ( cP
          | cQ
          | cR ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[75]) ).

thf(81,plain,
    ( ( ~ ( ~ cR
          | ~ cP
          | cQ ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[76]) ).

thf(82,plain,
    ( ( ~ ( ~ cR
          | ~ cQ
          | cP ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[76]) ).

thf(83,plain,
    ( ( ~ ( ~ cQ
          | cR ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[77]) ).

thf(84,plain,
    ( ( ~ ( ~ cR
          | cQ ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[77]) ).

thf(85,plain,
    ( ( ~ cP
      | ~ cQ
      | cR )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[79]) ).

thf(86,plain,
    ( ( cP
      | cQ
      | cR )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[80]) ).

thf(87,plain,
    ( ( ~ cR
      | ~ cP
      | cQ )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[81]) ).

thf(88,plain,
    ( ( ~ cR
      | ~ cQ
      | cP )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[82]) ).

thf(89,plain,
    ( ( ~ cQ
      | cR )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[83]) ).

thf(90,plain,
    ( ( ~ cR
      | cQ )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[84]) ).

thf(91,plain,
    ( ( ( ~ cP
        | ~ cQ )
      = $true )
    | ( cR = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[85]) ).

thf(92,plain,
    ( ( ( cP
        | cQ )
      = $true )
    | ( cR = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[86]) ).

thf(93,plain,
    ( ( ( ~ cR )
      = $true )
    | ( ( ~ cP
        | cQ )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[87]) ).

thf(94,plain,
    ( ( ( ~ cR )
      = $true )
    | ( ( ~ cQ
        | cP )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[88]) ).

thf(95,plain,
    ( ( ( ~ cQ )
      = $true )
    | ( cR = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[89]) ).

thf(96,plain,
    ( ( ( ~ cR )
      = $true )
    | ( cQ = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[90]) ).

thf(97,plain,
    ( ( ( ~ cP )
      = $true )
    | ( ( ~ cQ )
      = $true )
    | ( cR = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[91]) ).

thf(98,plain,
    ( ( cP = $true )
    | ( cQ = $true )
    | ( cR = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[92]) ).

thf(99,plain,
    ( ( cR = $false )
    | ( ( ~ cP
        | cQ )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[93]) ).

thf(100,plain,
    ( ( cR = $false )
    | ( ( ~ cQ
        | cP )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[94]) ).

thf(101,plain,
    ( ( cQ = $false )
    | ( cR = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[95]) ).

thf(102,plain,
    ( ( cR = $false )
    | ( cQ = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[96]) ).

thf(103,plain,
    ( ( cP = $false )
    | ( ( ~ cQ )
      = $true )
    | ( cR = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[97]) ).

thf(104,plain,
    ( ( ( ~ cP )
      = $true )
    | ( cQ = $true )
    | ( cR = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[99]) ).

thf(105,plain,
    ( ( ( ~ cQ )
      = $true )
    | ( cP = $true )
    | ( cR = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[100]) ).

thf(106,plain,
    ( ( cQ = $false )
    | ( cP = $false )
    | ( cR = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[103]) ).

thf(107,plain,
    ( ( cP = $false )
    | ( cQ = $true )
    | ( cR = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[104]) ).

thf(108,plain,
    ( ( cQ = $false )
    | ( cP = $true )
    | ( cR = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[105]) ).

thf(109,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[78,108,107,106,102,101,98]) ).

thf(110,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[109,60]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYO079^5 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jul  9 10:47:10 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  
% 0.14/0.35   No.of.Axioms: 0
% 0.14/0.35  
% 0.14/0.35   Length.of.Defs: 0
% 0.14/0.35  
% 0.14/0.35   Contains.Choice.Funs: false
% 0.14/0.35  (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.14/0.40  
% 0.14/0.40  ********************************
% 0.14/0.40  *   All subproblems solved!    *
% 0.14/0.40  ********************************
% 0.14/0.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:109,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.14/0.40  
% 0.14/0.40  %**** Beginning of derivation protocol ****
% 0.14/0.40  % SZS output start CNFRefutation
% See solution above
% 0.14/0.40  
% 0.14/0.40  %**** End of derivation protocol ****
% 0.14/0.40  %**** no. of clauses in derivation: 110 ****
% 0.14/0.40  %**** clause counter: 109 ****
% 0.14/0.40  
% 0.14/0.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:109,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------