TSTP Solution File: LAT281-2 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : LAT281-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n029.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 : Sun Jul 17 05:45:31 EDT 2022

% Result   : Unsatisfiable 0.20s 0.41s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   60 (  34 unt;  14 typ;   0 def)
%            Number of atoms       :  206 (  57 equ;   0 cnn)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :  715 (  44   ~;  52   |;   0   &; 619   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  14 usr;  10 con; 0-4 aty)
%            Number of variables   :   89 (   0   ^  89   !;   0   ?;  89   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_c_Pair,type,
    c_Pair: $i > $i > $i > $i > $i ).

thf(tp_c_Relation_Otrans,type,
    c_Relation_Otrans: $i > $i > $o ).

thf(tp_c_Tarski_OPartialOrder,type,
    c_Tarski_OPartialOrder: $i ).

thf(tp_c_Tarski_Opotype_Oorder,type,
    c_Tarski_Opotype_Oorder: $i > $i > $i > $i ).

thf(tp_c_in,type,
    c_in: $i > $i > $i > $o ).

thf(tp_t_a,type,
    t_a: $i ).

thf(tp_tc_Product__Type_Ounit,type,
    tc_Product__Type_Ounit: $i ).

thf(tp_tc_Tarski_Opotype_Opotype__ext__type,type,
    tc_Tarski_Opotype_Opotype__ext__type: $i > $i > $i ).

thf(tp_tc_prod,type,
    tc_prod: $i > $i > $i ).

thf(tp_v_a,type,
    v_a: $i ).

thf(tp_v_b,type,
    v_b: $i ).

thf(tp_v_c,type,
    v_c: $i ).

thf(tp_v_cl,type,
    v_cl: $i ).

thf(tp_v_r,type,
    v_r: $i ).

thf(1,axiom,
    ( v_r
    = ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).

thf(2,axiom,
    c_in @ v_cl @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).

thf(3,axiom,
    ! [V_P: $i,T_a: $i] :
      ( ~ ( c_in @ V_P @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ T_a @ tc_Product__Type_Ounit ) )
      | ( c_Relation_Otrans @ ( c_Tarski_Opotype_Oorder @ V_P @ T_a @ tc_Product__Type_Ounit ) @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_2) ).

thf(4,axiom,
    ! [V_r: $i,T_a: $i,V_V: $i,V_W: $i,V_U: $i] :
      ( ~ ( c_Relation_Otrans @ V_r @ T_a )
      | ~ ( c_in @ ( c_Pair @ V_V @ V_W @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
      | ~ ( c_in @ ( c_Pair @ V_U @ V_V @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
      | ( c_in @ ( c_Pair @ V_U @ V_W @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Otrans__def_0) ).

thf(5,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(6,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[5]) ).

thf(7,negated_conjecture,
    ~ ( c_in @ ( c_Pair @ v_a @ v_c @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

thf(8,negated_conjecture,
    c_in @ ( c_Pair @ v_b @ v_c @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

thf(9,negated_conjecture,
    c_in @ ( c_Pair @ v_a @ v_b @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(10,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[6]) ).

thf(11,plain,
    ( ( v_r
      = ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(12,plain,
    ( ( c_in @ v_cl @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(13,plain,
    ( ( ! [V_P: $i,T_a: $i] :
          ( ~ ( c_in @ V_P @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ T_a @ tc_Product__Type_Ounit ) )
          | ( c_Relation_Otrans @ ( c_Tarski_Opotype_Oorder @ V_P @ T_a @ tc_Product__Type_Ounit ) @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(14,plain,
    ( ( ! [V_r: $i,T_a: $i,V_V: $i,V_W: $i,V_U: $i] :
          ( ~ ( c_Relation_Otrans @ V_r @ T_a )
          | ~ ( c_in @ ( c_Pair @ V_V @ V_W @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
          | ~ ( c_in @ ( c_Pair @ V_U @ V_V @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
          | ( c_in @ ( c_Pair @ V_U @ V_W @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(15,plain,
    ( ( ~ ( c_in @ ( c_Pair @ v_a @ v_c @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(16,plain,
    ( ( c_in @ ( c_Pair @ v_b @ v_c @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(17,plain,
    ( ( c_in @ ( c_Pair @ v_a @ v_b @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(18,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[10]) ).

thf(19,plain,
    ( ( ! [V_r: $i,T_a: $i,V_V: $i] :
          ( ~ ( c_Relation_Otrans @ V_r @ T_a )
          | ! [V_W: $i] :
              ( ~ ( c_in @ ( c_Pair @ V_V @ V_W @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
              | ! [V_U: $i] :
                  ( ~ ( c_in @ ( c_Pair @ V_U @ V_V @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
                  | ( c_in @ ( c_Pair @ V_U @ V_W @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[14]) ).

thf(20,plain,
    ( ( c_in @ ( c_Pair @ v_a @ v_b @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(21,plain,
    ( ( c_in @ ( c_Pair @ v_b @ v_c @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(22,plain,
    ( ( ~ ( c_in @ ( c_Pair @ v_a @ v_c @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[15]) ).

thf(23,plain,
    ( ( ! [V_r: $i,T_a: $i,V_V: $i] :
          ( ~ ( c_Relation_Otrans @ V_r @ T_a )
          | ! [V_W: $i] :
              ( ~ ( c_in @ ( c_Pair @ V_V @ V_W @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
              | ! [V_U: $i] :
                  ( ~ ( c_in @ ( c_Pair @ V_U @ V_V @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
                  | ( c_in @ ( c_Pair @ V_U @ V_W @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[19]) ).

thf(24,plain,
    ( ( ! [V_P: $i,T_a: $i] :
          ( ~ ( c_in @ V_P @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ T_a @ tc_Product__Type_Ounit ) )
          | ( c_Relation_Otrans @ ( c_Tarski_Opotype_Oorder @ V_P @ T_a @ tc_Product__Type_Ounit ) @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(25,plain,
    ( ( c_in @ v_cl @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ) )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(26,plain,
    ( ( v_r
      = ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) )
    = $true ),
    inference(copy,[status(thm)],[11]) ).

thf(27,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[18]) ).

thf(28,plain,
    ( ( c_in @ ( c_Pair @ v_a @ v_c @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[22]) ).

thf(29,plain,
    ! [SV1: $i] :
      ( ( ! [SY7: $i,SY8: $i] :
            ( ~ ( c_Relation_Otrans @ SV1 @ SY7 )
            | ! [SY9: $i] :
                ( ~ ( c_in @ ( c_Pair @ SY8 @ SY9 @ SY7 @ SY7 ) @ SV1 @ ( tc_prod @ SY7 @ SY7 ) )
                | ! [SY10: $i] :
                    ( ~ ( c_in @ ( c_Pair @ SY10 @ SY8 @ SY7 @ SY7 ) @ SV1 @ ( tc_prod @ SY7 @ SY7 ) )
                    | ( c_in @ ( c_Pair @ SY10 @ SY9 @ SY7 @ SY7 ) @ SV1 @ ( tc_prod @ SY7 @ SY7 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[23]) ).

thf(30,plain,
    ! [SV2: $i] :
      ( ( ! [SY11: $i] :
            ( ~ ( c_in @ SV2 @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ SY11 @ tc_Product__Type_Ounit ) )
            | ( c_Relation_Otrans @ ( c_Tarski_Opotype_Oorder @ SV2 @ SY11 @ tc_Product__Type_Ounit ) @ SY11 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[24]) ).

thf(31,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[27]) ).

thf(32,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ! [SY12: $i] :
            ( ~ ( c_Relation_Otrans @ SV1 @ SV3 )
            | ! [SY13: $i] :
                ( ~ ( c_in @ ( c_Pair @ SY12 @ SY13 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
                | ! [SY14: $i] :
                    ( ~ ( c_in @ ( c_Pair @ SY14 @ SY12 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
                    | ( c_in @ ( c_Pair @ SY14 @ SY13 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[29]) ).

thf(33,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ~ ( c_in @ SV2 @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) )
        | ( c_Relation_Otrans @ ( c_Tarski_Opotype_Oorder @ SV2 @ SV4 @ tc_Product__Type_Ounit ) @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[30]) ).

thf(34,plain,
    ! [SV5: $i,SV3: $i,SV1: $i] :
      ( ( ~ ( c_Relation_Otrans @ SV1 @ SV3 )
        | ! [SY15: $i] :
            ( ~ ( c_in @ ( c_Pair @ SV5 @ SY15 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
            | ! [SY16: $i] :
                ( ~ ( c_in @ ( c_Pair @ SY16 @ SV5 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
                | ( c_in @ ( c_Pair @ SY16 @ SY15 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[32]) ).

thf(35,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( ~ ( c_in @ SV2 @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) ) )
        = $true )
      | ( ( c_Relation_Otrans @ ( c_Tarski_Opotype_Oorder @ SV2 @ SV4 @ tc_Product__Type_Ounit ) @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[33]) ).

thf(36,plain,
    ! [SV5: $i,SV3: $i,SV1: $i] :
      ( ( ( ~ ( c_Relation_Otrans @ SV1 @ SV3 ) )
        = $true )
      | ( ( ! [SY15: $i] :
              ( ~ ( c_in @ ( c_Pair @ SV5 @ SY15 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
              | ! [SY16: $i] :
                  ( ~ ( c_in @ ( c_Pair @ SY16 @ SV5 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
                  | ( c_in @ ( c_Pair @ SY16 @ SY15 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[34]) ).

thf(37,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( c_in @ SV2 @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) )
        = $false )
      | ( ( c_Relation_Otrans @ ( c_Tarski_Opotype_Oorder @ SV2 @ SV4 @ tc_Product__Type_Ounit ) @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[35]) ).

thf(38,plain,
    ! [SV5: $i,SV3: $i,SV1: $i] :
      ( ( ( c_Relation_Otrans @ SV1 @ SV3 )
        = $false )
      | ( ( ! [SY15: $i] :
              ( ~ ( c_in @ ( c_Pair @ SV5 @ SY15 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
              | ! [SY16: $i] :
                  ( ~ ( c_in @ ( c_Pair @ SY16 @ SV5 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
                  | ( c_in @ ( c_Pair @ SY16 @ SY15 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[36]) ).

thf(39,plain,
    ! [SV1: $i,SV3: $i,SV6: $i,SV5: $i] :
      ( ( ( ~ ( c_in @ ( c_Pair @ SV5 @ SV6 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
          | ! [SY17: $i] :
              ( ~ ( c_in @ ( c_Pair @ SY17 @ SV5 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
              | ( c_in @ ( c_Pair @ SY17 @ SV6 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) ) ) )
        = $true )
      | ( ( c_Relation_Otrans @ SV1 @ SV3 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[38]) ).

thf(40,plain,
    ! [SV1: $i,SV3: $i,SV6: $i,SV5: $i] :
      ( ( ( ~ ( c_in @ ( c_Pair @ SV5 @ SV6 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) ) )
        = $true )
      | ( ( ! [SY17: $i] :
              ( ~ ( c_in @ ( c_Pair @ SY17 @ SV5 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
              | ( c_in @ ( c_Pair @ SY17 @ SV6 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) ) ) )
        = $true )
      | ( ( c_Relation_Otrans @ SV1 @ SV3 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[39]) ).

thf(41,plain,
    ! [SV1: $i,SV3: $i,SV6: $i,SV5: $i] :
      ( ( ( c_in @ ( c_Pair @ SV5 @ SV6 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
        = $false )
      | ( ( ! [SY17: $i] :
              ( ~ ( c_in @ ( c_Pair @ SY17 @ SV5 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
              | ( c_in @ ( c_Pair @ SY17 @ SV6 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) ) ) )
        = $true )
      | ( ( c_Relation_Otrans @ SV1 @ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[40]) ).

thf(42,plain,
    ! [SV6: $i,SV1: $i,SV3: $i,SV5: $i,SV7: $i] :
      ( ( ( ~ ( c_in @ ( c_Pair @ SV7 @ SV5 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
          | ( c_in @ ( c_Pair @ SV7 @ SV6 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) ) )
        = $true )
      | ( ( c_in @ ( c_Pair @ SV5 @ SV6 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
        = $false )
      | ( ( c_Relation_Otrans @ SV1 @ SV3 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[41]) ).

thf(43,plain,
    ! [SV6: $i,SV1: $i,SV3: $i,SV5: $i,SV7: $i] :
      ( ( ( ~ ( c_in @ ( c_Pair @ SV7 @ SV5 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) ) )
        = $true )
      | ( ( c_in @ ( c_Pair @ SV7 @ SV6 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
        = $true )
      | ( ( c_in @ ( c_Pair @ SV5 @ SV6 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
        = $false )
      | ( ( c_Relation_Otrans @ SV1 @ SV3 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[42]) ).

thf(44,plain,
    ! [SV6: $i,SV1: $i,SV3: $i,SV5: $i,SV7: $i] :
      ( ( ( c_in @ ( c_Pair @ SV7 @ SV5 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
        = $false )
      | ( ( c_in @ ( c_Pair @ SV7 @ SV6 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
        = $true )
      | ( ( c_in @ ( c_Pair @ SV5 @ SV6 @ SV3 @ SV3 ) @ SV1 @ ( tc_prod @ SV3 @ SV3 ) )
        = $false )
      | ( ( c_Relation_Otrans @ SV1 @ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[43]) ).

thf(45,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[20,44,37,31,28,26,25,21]) ).

thf(46,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LAT281-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34  % Computer : n029.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 : Wed Jun 29 06:49:22 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  
% 0.14/0.35   No.of.Axioms: 7
% 0.14/0.35  
% 0.14/0.35   Length.of.Defs: 0
% 0.14/0.35  
% 0.14/0.35   Contains.Choice.Funs: false
% 0.14/0.36  (rf:0,axioms:7,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:9,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.20/0.41  
% 0.20/0.41  ********************************
% 0.20/0.41  *   All subproblems solved!    *
% 0.20/0.41  ********************************
% 0.20/0.41  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:7,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:45,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.41  
% 0.20/0.41  %**** Beginning of derivation protocol ****
% 0.20/0.41  % SZS output start CNFRefutation
% See solution above
% 0.20/0.41  
% 0.20/0.41  %**** End of derivation protocol ****
% 0.20/0.41  %**** no. of clauses in derivation: 46 ****
% 0.20/0.41  %**** clause counter: 45 ****
% 0.20/0.41  
% 0.20/0.41  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:7,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:45,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------