TSTP Solution File: GRP028-3 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : GRP028-3 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n027.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 : Sat Jul 16 10:15:30 EDT 2022

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   65 (  42 unt;   5 typ;   0 def)
%            Number of atoms       :  320 (  82 equ;   0 cnn)
%            Maximal formula atoms :    4 (   5 avg)
%            Number of connectives :  658 (  78   ~;  96   |;   0   &; 484   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   5 usr;   2 con; 0-3 aty)
%            Number of variables   :  227 (   0   ^ 227   !;   0   ?; 227   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_left_solution,type,
    left_solution: $i > $i > $i ).

thf(tp_multiply,type,
    multiply: $i > $i > $i ).

thf(tp_not_identity,type,
    not_identity: $i > $i ).

thf(tp_product,type,
    product: $i > $i > $i > $o ).

thf(tp_right_solution,type,
    right_solution: $i > $i > $i ).

thf(1,axiom,
    ! [X: $i,Y: $i,U: $i,Z: $i,V: $i,W: $i] :
      ( ~ ( product @ X @ Y @ U )
      | ~ ( product @ Y @ Z @ V )
      | ~ ( product @ X @ V @ W )
      | ( product @ U @ Z @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).

thf(2,axiom,
    ! [X: $i,Y: $i,U: $i,Z: $i,V: $i,W: $i] :
      ( ~ ( product @ X @ Y @ U )
      | ~ ( product @ Y @ Z @ V )
      | ~ ( product @ U @ Z @ W )
      | ( product @ X @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).

thf(3,axiom,
    ! [X: $i,Y: $i] : ( product @ X @ Y @ ( multiply @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).

thf(4,axiom,
    ! [X: $i,Y: $i] : ( product @ X @ ( right_solution @ X @ Y ) @ Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_soln) ).

thf(5,axiom,
    ! [X: $i,Y: $i] : ( product @ ( left_solution @ X @ Y ) @ X @ Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_soln) ).

thf(6,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(7,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[6]) ).

thf(8,negated_conjecture,
    ! [X: $i] :
      ~ ( product @ ( not_identity @ X ) @ X @ ( not_identity @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).

thf(9,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[7]) ).

thf(10,plain,
    ( ( ! [X: $i,Y: $i,U: $i,Z: $i,V: $i,W: $i] :
          ( ~ ( product @ X @ Y @ U )
          | ~ ( product @ Y @ Z @ V )
          | ~ ( product @ X @ V @ W )
          | ( product @ U @ Z @ W ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(11,plain,
    ( ( ! [X: $i,Y: $i,U: $i,Z: $i,V: $i,W: $i] :
          ( ~ ( product @ X @ Y @ U )
          | ~ ( product @ Y @ Z @ V )
          | ~ ( product @ U @ Z @ W )
          | ( product @ X @ V @ W ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(12,plain,
    ( ( ! [X: $i,Y: $i] : ( product @ X @ Y @ ( multiply @ X @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(13,plain,
    ( ( ! [X: $i,Y: $i] : ( product @ X @ ( right_solution @ X @ Y ) @ Y ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(14,plain,
    ( ( ! [X: $i,Y: $i] : ( product @ ( left_solution @ X @ Y ) @ X @ Y ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(15,plain,
    ( ( ! [X: $i] :
          ~ ( product @ ( not_identity @ X ) @ X @ ( not_identity @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(16,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[9]) ).

thf(17,plain,
    ( ( ! [X: $i,Y: $i,U: $i,Z: $i] :
          ( ~ ( product @ X @ Y @ U )
          | ! [V: $i] :
              ( ~ ( product @ Y @ Z @ V )
              | ! [W: $i] :
                  ( ~ ( product @ X @ V @ W )
                  | ( product @ U @ Z @ W ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[10]) ).

thf(18,plain,
    ( ( ! [X: $i,Y: $i,U: $i,Z: $i] :
          ( ~ ( product @ X @ Y @ U )
          | ! [V: $i] :
              ( ~ ( product @ Y @ Z @ V )
              | ! [W: $i] :
                  ( ~ ( product @ U @ Z @ W )
                  | ( product @ X @ V @ W ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[11]) ).

thf(19,plain,
    ( ( ! [X: $i] :
          ~ ( product @ ( not_identity @ X ) @ X @ ( not_identity @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[15]) ).

thf(20,plain,
    ( ( ! [X: $i,Y: $i] : ( product @ ( left_solution @ X @ Y ) @ X @ Y ) )
    = $true ),
    inference(copy,[status(thm)],[14]) ).

thf(21,plain,
    ( ( ! [X: $i,Y: $i] : ( product @ X @ ( right_solution @ X @ Y ) @ Y ) )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(22,plain,
    ( ( ! [X: $i,Y: $i] : ( product @ X @ Y @ ( multiply @ X @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(23,plain,
    ( ( ! [X: $i,Y: $i,U: $i,Z: $i] :
          ( ~ ( product @ X @ Y @ U )
          | ! [V: $i] :
              ( ~ ( product @ Y @ Z @ V )
              | ! [W: $i] :
                  ( ~ ( product @ U @ Z @ W )
                  | ( product @ X @ V @ W ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[18]) ).

thf(24,plain,
    ( ( ! [X: $i,Y: $i,U: $i,Z: $i] :
          ( ~ ( product @ X @ Y @ U )
          | ! [V: $i] :
              ( ~ ( product @ Y @ Z @ V )
              | ! [W: $i] :
                  ( ~ ( product @ X @ V @ W )
                  | ( product @ U @ Z @ W ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(25,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(26,plain,
    ! [SV1: $i] :
      ( ( ~ ( product @ ( not_identity @ SV1 ) @ SV1 @ ( not_identity @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[19]) ).

thf(27,plain,
    ! [SV2: $i] :
      ( ( ! [SY19: $i] : ( product @ ( left_solution @ SV2 @ SY19 ) @ SV2 @ SY19 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[20]) ).

thf(28,plain,
    ! [SV3: $i] :
      ( ( ! [SY20: $i] : ( product @ SV3 @ ( right_solution @ SV3 @ SY20 ) @ SY20 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[21]) ).

thf(29,plain,
    ! [SV4: $i] :
      ( ( ! [SY21: $i] : ( product @ SV4 @ SY21 @ ( multiply @ SV4 @ SY21 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[22]) ).

thf(30,plain,
    ! [SV5: $i] :
      ( ( ! [SY22: $i,SY23: $i,SY24: $i] :
            ( ~ ( product @ SV5 @ SY22 @ SY23 )
            | ! [SY25: $i] :
                ( ~ ( product @ SY22 @ SY24 @ SY25 )
                | ! [SY26: $i] :
                    ( ~ ( product @ SY23 @ SY24 @ SY26 )
                    | ( product @ SV5 @ SY25 @ SY26 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[23]) ).

thf(31,plain,
    ! [SV6: $i] :
      ( ( ! [SY27: $i,SY28: $i,SY29: $i] :
            ( ~ ( product @ SV6 @ SY27 @ SY28 )
            | ! [SY30: $i] :
                ( ~ ( product @ SY27 @ SY29 @ SY30 )
                | ! [SY31: $i] :
                    ( ~ ( product @ SV6 @ SY30 @ SY31 )
                    | ( product @ SY28 @ SY29 @ SY31 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[24]) ).

thf(32,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[25]) ).

thf(33,plain,
    ! [SV1: $i] :
      ( ( product @ ( not_identity @ SV1 ) @ SV1 @ ( not_identity @ SV1 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[26]) ).

thf(34,plain,
    ! [SV7: $i,SV2: $i] :
      ( ( product @ ( left_solution @ SV2 @ SV7 ) @ SV2 @ SV7 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[27]) ).

thf(35,plain,
    ! [SV8: $i,SV3: $i] :
      ( ( product @ SV3 @ ( right_solution @ SV3 @ SV8 ) @ SV8 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[28]) ).

thf(36,plain,
    ! [SV9: $i,SV4: $i] :
      ( ( product @ SV4 @ SV9 @ ( multiply @ SV4 @ SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[29]) ).

thf(37,plain,
    ! [SV10: $i,SV5: $i] :
      ( ( ! [SY32: $i,SY33: $i] :
            ( ~ ( product @ SV5 @ SV10 @ SY32 )
            | ! [SY34: $i] :
                ( ~ ( product @ SV10 @ SY33 @ SY34 )
                | ! [SY26: $i] :
                    ( ~ ( product @ SY32 @ SY33 @ SY26 )
                    | ( product @ SV5 @ SY34 @ SY26 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[30]) ).

thf(38,plain,
    ! [SV11: $i,SV6: $i] :
      ( ( ! [SY36: $i,SY37: $i] :
            ( ~ ( product @ SV6 @ SV11 @ SY36 )
            | ! [SY38: $i] :
                ( ~ ( product @ SV11 @ SY37 @ SY38 )
                | ! [SY31: $i] :
                    ( ~ ( product @ SV6 @ SY38 @ SY31 )
                    | ( product @ SY36 @ SY37 @ SY31 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[31]) ).

thf(39,plain,
    ! [SV12: $i,SV10: $i,SV5: $i] :
      ( ( ! [SY40: $i] :
            ( ~ ( product @ SV5 @ SV10 @ SV12 )
            | ! [SY41: $i] :
                ( ~ ( product @ SV10 @ SY40 @ SY41 )
                | ! [SY42: $i] :
                    ( ~ ( product @ SV12 @ SY40 @ SY42 )
                    | ( product @ SV5 @ SY41 @ SY42 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[37]) ).

thf(40,plain,
    ! [SV13: $i,SV11: $i,SV6: $i] :
      ( ( ! [SY43: $i] :
            ( ~ ( product @ SV6 @ SV11 @ SV13 )
            | ! [SY44: $i] :
                ( ~ ( product @ SV11 @ SY43 @ SY44 )
                | ! [SY45: $i] :
                    ( ~ ( product @ SV6 @ SY44 @ SY45 )
                    | ( product @ SV13 @ SY43 @ SY45 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[38]) ).

thf(41,plain,
    ! [SV14: $i,SV12: $i,SV10: $i,SV5: $i] :
      ( ( ~ ( product @ SV5 @ SV10 @ SV12 )
        | ! [SY46: $i] :
            ( ~ ( product @ SV10 @ SV14 @ SY46 )
            | ! [SY47: $i] :
                ( ~ ( product @ SV12 @ SV14 @ SY47 )
                | ( product @ SV5 @ SY46 @ SY47 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[39]) ).

thf(42,plain,
    ! [SV15: $i,SV13: $i,SV11: $i,SV6: $i] :
      ( ( ~ ( product @ SV6 @ SV11 @ SV13 )
        | ! [SY48: $i] :
            ( ~ ( product @ SV11 @ SV15 @ SY48 )
            | ! [SY49: $i] :
                ( ~ ( product @ SV6 @ SY48 @ SY49 )
                | ( product @ SV13 @ SV15 @ SY49 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[40]) ).

thf(43,plain,
    ! [SV14: $i,SV12: $i,SV10: $i,SV5: $i] :
      ( ( ( ~ ( product @ SV5 @ SV10 @ SV12 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( product @ SV10 @ SV14 @ SY46 )
              | ! [SY47: $i] :
                  ( ~ ( product @ SV12 @ SV14 @ SY47 )
                  | ( product @ SV5 @ SY46 @ SY47 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[41]) ).

thf(44,plain,
    ! [SV15: $i,SV13: $i,SV11: $i,SV6: $i] :
      ( ( ( ~ ( product @ SV6 @ SV11 @ SV13 ) )
        = $true )
      | ( ( ! [SY48: $i] :
              ( ~ ( product @ SV11 @ SV15 @ SY48 )
              | ! [SY49: $i] :
                  ( ~ ( product @ SV6 @ SY48 @ SY49 )
                  | ( product @ SV13 @ SV15 @ SY49 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[42]) ).

thf(45,plain,
    ! [SV14: $i,SV12: $i,SV10: $i,SV5: $i] :
      ( ( ( product @ SV5 @ SV10 @ SV12 )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( product @ SV10 @ SV14 @ SY46 )
              | ! [SY47: $i] :
                  ( ~ ( product @ SV12 @ SV14 @ SY47 )
                  | ( product @ SV5 @ SY46 @ SY47 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[43]) ).

thf(46,plain,
    ! [SV15: $i,SV13: $i,SV11: $i,SV6: $i] :
      ( ( ( product @ SV6 @ SV11 @ SV13 )
        = $false )
      | ( ( ! [SY48: $i] :
              ( ~ ( product @ SV11 @ SV15 @ SY48 )
              | ! [SY49: $i] :
                  ( ~ ( product @ SV6 @ SY48 @ SY49 )
                  | ( product @ SV13 @ SV15 @ SY49 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[44]) ).

thf(47,plain,
    ! [SV5: $i,SV12: $i,SV16: $i,SV14: $i,SV10: $i] :
      ( ( ( ~ ( product @ SV10 @ SV14 @ SV16 )
          | ! [SY50: $i] :
              ( ~ ( product @ SV12 @ SV14 @ SY50 )
              | ( product @ SV5 @ SV16 @ SY50 ) ) )
        = $true )
      | ( ( product @ SV5 @ SV10 @ SV12 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[45]) ).

thf(48,plain,
    ! [SV13: $i,SV6: $i,SV17: $i,SV15: $i,SV11: $i] :
      ( ( ( ~ ( product @ SV11 @ SV15 @ SV17 )
          | ! [SY51: $i] :
              ( ~ ( product @ SV6 @ SV17 @ SY51 )
              | ( product @ SV13 @ SV15 @ SY51 ) ) )
        = $true )
      | ( ( product @ SV6 @ SV11 @ SV13 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[46]) ).

thf(49,plain,
    ! [SV5: $i,SV12: $i,SV16: $i,SV14: $i,SV10: $i] :
      ( ( ( ~ ( product @ SV10 @ SV14 @ SV16 ) )
        = $true )
      | ( ( ! [SY50: $i] :
              ( ~ ( product @ SV12 @ SV14 @ SY50 )
              | ( product @ SV5 @ SV16 @ SY50 ) ) )
        = $true )
      | ( ( product @ SV5 @ SV10 @ SV12 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[47]) ).

thf(50,plain,
    ! [SV13: $i,SV6: $i,SV17: $i,SV15: $i,SV11: $i] :
      ( ( ( ~ ( product @ SV11 @ SV15 @ SV17 ) )
        = $true )
      | ( ( ! [SY51: $i] :
              ( ~ ( product @ SV6 @ SV17 @ SY51 )
              | ( product @ SV13 @ SV15 @ SY51 ) ) )
        = $true )
      | ( ( product @ SV6 @ SV11 @ SV13 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[48]) ).

thf(51,plain,
    ! [SV5: $i,SV12: $i,SV16: $i,SV14: $i,SV10: $i] :
      ( ( ( product @ SV10 @ SV14 @ SV16 )
        = $false )
      | ( ( ! [SY50: $i] :
              ( ~ ( product @ SV12 @ SV14 @ SY50 )
              | ( product @ SV5 @ SV16 @ SY50 ) ) )
        = $true )
      | ( ( product @ SV5 @ SV10 @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[49]) ).

thf(52,plain,
    ! [SV13: $i,SV6: $i,SV17: $i,SV15: $i,SV11: $i] :
      ( ( ( product @ SV11 @ SV15 @ SV17 )
        = $false )
      | ( ( ! [SY51: $i] :
              ( ~ ( product @ SV6 @ SV17 @ SY51 )
              | ( product @ SV13 @ SV15 @ SY51 ) ) )
        = $true )
      | ( ( product @ SV6 @ SV11 @ SV13 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[50]) ).

thf(53,plain,
    ! [SV10: $i,SV16: $i,SV5: $i,SV18: $i,SV14: $i,SV12: $i] :
      ( ( ( ~ ( product @ SV12 @ SV14 @ SV18 )
          | ( product @ SV5 @ SV16 @ SV18 ) )
        = $true )
      | ( ( product @ SV10 @ SV14 @ SV16 )
        = $false )
      | ( ( product @ SV5 @ SV10 @ SV12 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[51]) ).

thf(54,plain,
    ! [SV11: $i,SV15: $i,SV13: $i,SV19: $i,SV17: $i,SV6: $i] :
      ( ( ( ~ ( product @ SV6 @ SV17 @ SV19 )
          | ( product @ SV13 @ SV15 @ SV19 ) )
        = $true )
      | ( ( product @ SV11 @ SV15 @ SV17 )
        = $false )
      | ( ( product @ SV6 @ SV11 @ SV13 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[52]) ).

thf(55,plain,
    ! [SV10: $i,SV16: $i,SV5: $i,SV18: $i,SV14: $i,SV12: $i] :
      ( ( ( ~ ( product @ SV12 @ SV14 @ SV18 ) )
        = $true )
      | ( ( product @ SV5 @ SV16 @ SV18 )
        = $true )
      | ( ( product @ SV10 @ SV14 @ SV16 )
        = $false )
      | ( ( product @ SV5 @ SV10 @ SV12 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[53]) ).

thf(56,plain,
    ! [SV11: $i,SV15: $i,SV13: $i,SV19: $i,SV17: $i,SV6: $i] :
      ( ( ( ~ ( product @ SV6 @ SV17 @ SV19 ) )
        = $true )
      | ( ( product @ SV13 @ SV15 @ SV19 )
        = $true )
      | ( ( product @ SV11 @ SV15 @ SV17 )
        = $false )
      | ( ( product @ SV6 @ SV11 @ SV13 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[54]) ).

thf(57,plain,
    ! [SV10: $i,SV16: $i,SV5: $i,SV18: $i,SV14: $i,SV12: $i] :
      ( ( ( product @ SV12 @ SV14 @ SV18 )
        = $false )
      | ( ( product @ SV5 @ SV16 @ SV18 )
        = $true )
      | ( ( product @ SV10 @ SV14 @ SV16 )
        = $false )
      | ( ( product @ SV5 @ SV10 @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(58,plain,
    ! [SV11: $i,SV15: $i,SV13: $i,SV19: $i,SV17: $i,SV6: $i] :
      ( ( ( product @ SV6 @ SV17 @ SV19 )
        = $false )
      | ( ( product @ SV13 @ SV15 @ SV19 )
        = $true )
      | ( ( product @ SV11 @ SV15 @ SV17 )
        = $false )
      | ( ( product @ SV6 @ SV11 @ SV13 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[56]) ).

thf(59,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[32,58,57,36,35,34,33]) ).

thf(60,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[59]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GRP028-3 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jun 13 04:59:17 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  
% 0.13/0.34   No.of.Axioms: 6
% 0.13/0.34  
% 0.13/0.34   Length.of.Defs: 0
% 0.13/0.34  
% 0.13/0.34   Contains.Choice.Funs: false
% 0.13/0.34  (rf:0,axioms:6,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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:8,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.13/0.37  
% 0.13/0.37  ********************************
% 0.13/0.37  *   All subproblems solved!    *
% 0.13/0.37  ********************************
% 0.13/0.37  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:6,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:59,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.37  
% 0.13/0.37  %**** Beginning of derivation protocol ****
% 0.13/0.37  % SZS output start CNFRefutation
% See solution above
% 0.13/0.37  
% 0.13/0.37  %**** End of derivation protocol ****
% 0.13/0.37  %**** no. of clauses in derivation: 60 ****
% 0.13/0.37  %**** clause counter: 59 ****
% 0.13/0.37  
% 0.13/0.37  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:6,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:59,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------