↑ Up

LEO-II---2.3.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : LCL446-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n004.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 : Wed Oct  7 10:29:08 AM UTC 2026

% Result   : Unsatisfiable 0.08s 0.24s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   38 (  33 unt;   0 typ;   0 def)
%            Number of atoms       :  136 (  38 equ;   0 cnn)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :  588 (  23   ~;  22   |;   0   &; 543   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :  112 (   0   ^; 112   !;   0   ?; 112   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_c_PropLog_Opl_Oop_A_N_62,type,
    c_PropLog_Opl_Oop_A_N_62: $i > $i > $i > $i ).

thf(tp_c_PropLog_Othms,type,
    c_PropLog_Othms: $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_PropLog_Opl,type,
    tc_PropLog_Opl: $i > $i ).

thf(tp_v_H,type,
    v_H: $i ).

thf(tp_v_p,type,
    v_p: $i ).

thf(1,axiom,
    ! [V_p: $i,V_q: $i,V_r: $i,T_a: $i,V_H: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ ( c_PropLog_Opl_Oop_A_N_62 @ V_q @ V_r @ T_a ) @ T_a ) @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_r @ T_a ) @ T_a ) @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OS_0) ).

thf(2,axiom,
    ! [V_p: $i,V_H: $i,T_a: $i,V_q: $i] :
      ( ~ ( c_in @ V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) )
      | ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) )
      | ( c_in @ V_q @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).

thf(3,axiom,
    ! [V_p: $i,V_q: $i,T_a: $i,V_H: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ ( c_PropLog_Opl_Oop_A_N_62 @ V_q @ V_p @ T_a ) @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OK_0) ).

thf(4,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(5,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[4]) ).

thf(6,negated_conjecture,
    ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_p @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(7,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[5]) ).

thf(8,plain,
    ( ( ! [V_p: $i,V_q: $i,V_r: $i,T_a: $i,V_H: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ ( c_PropLog_Opl_Oop_A_N_62 @ V_q @ V_r @ T_a ) @ T_a ) @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_r @ T_a ) @ T_a ) @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(9,plain,
    ( ( ! [V_p: $i,V_H: $i,T_a: $i,V_q: $i] :
          ( ~ ( c_in @ V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) )
          | ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) )
          | ( c_in @ V_q @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(10,plain,
    ( ( ! [V_p: $i,V_q: $i,T_a: $i,V_H: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ ( c_PropLog_Opl_Oop_A_N_62 @ V_q @ V_p @ T_a ) @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(11,plain,
    ( ( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_p @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(12,plain,
    ( ( ~ $false ) = $true ),
    inference(polarity_switch,[status(thm)],[7]) ).

thf(13,plain,
    ( ( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_p @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[11]) ).

thf(14,plain,
    ( ( ! [V_p: $i,V_q: $i,T_a: $i,V_H: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ ( c_PropLog_Opl_Oop_A_N_62 @ V_q @ V_p @ T_a ) @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[10]) ).

thf(15,plain,
    ( ( ! [V_p: $i,V_H: $i,T_a: $i,V_q: $i] :
          ( ~ ( c_in @ V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) )
          | ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) )
          | ( c_in @ V_q @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[9]) ).

thf(16,plain,
    ( ( ! [V_p: $i,V_q: $i,V_r: $i,T_a: $i,V_H: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ ( c_PropLog_Opl_Oop_A_N_62 @ V_q @ V_r @ T_a ) @ T_a ) @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_r @ T_a ) @ T_a ) @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[8]) ).

thf(17,plain,
    ( ( ~ $false ) = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(18,plain,
    ( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_p @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[13]) ).

thf(19,plain,
    ! [SV1: $i] :
      ( ( ! [SY13: $i,SY14: $i,SY15: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV1 @ ( c_PropLog_Opl_Oop_A_N_62 @ SY13 @ SV1 @ SY14 ) @ SY14 ) @ ( c_PropLog_Othms @ SY15 @ SY14 ) @ ( tc_PropLog_Opl @ SY14 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[14]) ).

thf(20,plain,
    ! [SV2: $i] :
      ( ( ! [SY16: $i,SY17: $i,SY18: $i] :
            ( ~ ( c_in @ SV2 @ ( c_PropLog_Othms @ SY16 @ SY17 ) @ ( tc_PropLog_Opl @ SY17 ) )
            | ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SY18 @ SY17 ) @ ( c_PropLog_Othms @ SY16 @ SY17 ) @ ( tc_PropLog_Opl @ SY17 ) )
            | ( c_in @ SY18 @ ( c_PropLog_Othms @ SY16 @ SY17 ) @ ( tc_PropLog_Opl @ SY17 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[15]) ).

thf(21,plain,
    ! [SV3: $i] :
      ( ( ! [SY19: $i,SY20: $i,SY21: $i,SY22: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ ( c_PropLog_Opl_Oop_A_N_62 @ SY19 @ SY20 @ SY21 ) @ SY21 ) @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ SY19 @ SY21 ) @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ SY20 @ SY21 ) @ SY21 ) @ SY21 ) @ ( c_PropLog_Othms @ SY22 @ SY21 ) @ ( tc_PropLog_Opl @ SY21 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[16]) ).

thf(22,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[17]) ).

thf(23,plain,
    ! [SV4: $i,SV1: $i] :
      ( ( ! [SY23: $i,SY24: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV1 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV4 @ SV1 @ SY23 ) @ SY23 ) @ ( c_PropLog_Othms @ SY24 @ SY23 ) @ ( tc_PropLog_Opl @ SY23 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[19]) ).

thf(24,plain,
    ! [SV5: $i,SV2: $i] :
      ( ( ! [SY25: $i,SY26: $i] :
            ( ~ ( c_in @ SV2 @ ( c_PropLog_Othms @ SV5 @ SY25 ) @ ( tc_PropLog_Opl @ SY25 ) )
            | ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SY26 @ SY25 ) @ ( c_PropLog_Othms @ SV5 @ SY25 ) @ ( tc_PropLog_Opl @ SY25 ) )
            | ( c_in @ SY26 @ ( c_PropLog_Othms @ SV5 @ SY25 ) @ ( tc_PropLog_Opl @ SY25 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[20]) ).

thf(25,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ! [SY27: $i,SY28: $i,SY29: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV6 @ SY27 @ SY28 ) @ SY28 ) @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ SV6 @ SY28 ) @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ SY27 @ SY28 ) @ SY28 ) @ SY28 ) @ ( c_PropLog_Othms @ SY29 @ SY28 ) @ ( tc_PropLog_Opl @ SY28 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[21]) ).

thf(26,plain,
    ! [SV7: $i,SV4: $i,SV1: $i] :
      ( ( ! [SY30: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV1 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV4 @ SV1 @ SV7 ) @ SV7 ) @ ( c_PropLog_Othms @ SY30 @ SV7 ) @ ( tc_PropLog_Opl @ SV7 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[23]) ).

thf(27,plain,
    ! [SV8: $i,SV5: $i,SV2: $i] :
      ( ( ! [SY31: $i] :
            ( ~ ( c_in @ SV2 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
            | ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SY31 @ SV8 ) @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
            | ( c_in @ SY31 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[24]) ).

thf(28,plain,
    ! [SV9: $i,SV6: $i,SV3: $i] :
      ( ( ! [SY32: $i,SY33: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV6 @ SV9 @ SY32 ) @ SY32 ) @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ SV6 @ SY32 ) @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ SV9 @ SY32 ) @ SY32 ) @ SY32 ) @ ( c_PropLog_Othms @ SY33 @ SY32 ) @ ( tc_PropLog_Opl @ SY32 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[25]) ).

thf(29,plain,
    ! [SV10: $i,SV7: $i,SV4: $i,SV1: $i] :
      ( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV1 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV4 @ SV1 @ SV7 ) @ SV7 ) @ ( c_PropLog_Othms @ SV10 @ SV7 ) @ ( tc_PropLog_Opl @ SV7 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[26]) ).

thf(30,plain,
    ! [SV11: $i,SV8: $i,SV5: $i,SV2: $i] :
      ( ( ~ ( c_in @ SV2 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
        | ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SV11 @ SV8 ) @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
        | ( c_in @ SV11 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[27]) ).

thf(31,plain,
    ! [SV12: $i,SV9: $i,SV6: $i,SV3: $i] :
      ( ( ! [SY34: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV6 @ SV9 @ SV12 ) @ SV12 ) @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ SV6 @ SV12 ) @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ SV9 @ SV12 ) @ SV12 ) @ SV12 ) @ ( c_PropLog_Othms @ SY34 @ SV12 ) @ ( tc_PropLog_Opl @ SV12 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[28]) ).

thf(32,plain,
    ! [SV11: $i,SV8: $i,SV5: $i,SV2: $i] :
      ( ( ( ~ ( c_in @ SV2 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) ) )
        = $true )
      | ( ( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SV11 @ SV8 ) @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
          | ( c_in @ SV11 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[30]) ).

thf(33,plain,
    ! [SV13: $i,SV12: $i,SV9: $i,SV6: $i,SV3: $i] :
      ( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV6 @ SV9 @ SV12 ) @ SV12 ) @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ SV6 @ SV12 ) @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ SV9 @ SV12 ) @ SV12 ) @ SV12 ) @ ( c_PropLog_Othms @ SV13 @ SV12 ) @ ( tc_PropLog_Opl @ SV12 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[31]) ).

thf(34,plain,
    ! [SV11: $i,SV8: $i,SV5: $i,SV2: $i] :
      ( ( ( c_in @ SV2 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
        = $false )
      | ( ( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SV11 @ SV8 ) @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
          | ( c_in @ SV11 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[32]) ).

thf(35,plain,
    ! [SV5: $i,SV8: $i,SV11: $i,SV2: $i] :
      ( ( ( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SV11 @ SV8 ) @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) ) )
        = $true )
      | ( ( c_in @ SV11 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
        = $true )
      | ( ( c_in @ SV2 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[34]) ).

thf(36,plain,
    ! [SV5: $i,SV8: $i,SV11: $i,SV2: $i] :
      ( ( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SV11 @ SV8 ) @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
        = $false )
      | ( ( c_in @ SV11 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
        = $true )
      | ( ( c_in @ SV2 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[35]) ).

thf(37,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[18,36,33,29,22]) ).

thf(38,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL446-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.19  % Computer : n004.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Tue Oct  6 12:21:30 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.24  
% 0.08/0.24   No.of.Axioms: 4
% 0.08/0.24  
% 0.08/0.24   Length.of.Defs: 0
% 0.08/0.24  
% 0.08/0.24   Contains.Choice.Funs: false
% 0.08/0.24  .
% 0.08/0.24  
% 0.08/0.24  ********************************
% 0.08/0.24  *   All subproblems solved!    *
% 0.08/0.24  ********************************
% 0.08/0.24  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:4,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:37,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.08/0.24  
% 0.08/0.24  %**** Beginning of derivation protocol ****
% 0.08/0.24  % SZS output start CNFRefutation
% See solution above
% 0.08/0.24  
% 0.08/0.24  %**** End of derivation protocol ****
% 0.08/0.24  %**** no. of clauses in derivation: 38 ****
% 0.08/0.24  %**** clause counter: 37 ****
% 0.08/0.24  
% 0.08/0.24  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:4,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:37,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------