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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : CSR141^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n006.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 Sep 30 07:46:58 AM UTC 2026

% Result   : Theorem 5.37s 2.76s
% Output   : Refutation 5.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   51 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :  168 (  24 equ;   0 cnn)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  451 (  77   ~;  46   |;   4   &; 320   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   7 con; 0-3 aty)
%            Number of variables   :   44 (   0   ^;  44   !;   0   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
thf(num_type,type,
    num: $tType ).

thf(agent_THFTYPE_IiioI_decl,type,
    agent_THFTYPE_IiioI: $i > $i > $o ).

thf(connected_THFTYPE_IiioI_decl,type,
    connected_THFTYPE_IiioI: $i > $i > $o ).

thf(holdsDuring_THFTYPE_IiooI_decl,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(instance_THFTYPE_IiioI_decl,type,
    instance_THFTYPE_IiioI: $i > $i > $o ).

thf(lCADE_BM_THFTYPE_i_decl,type,
    lCADE_BM_THFTYPE_i: $i ).

thf(lMariaPaola_THFTYPE_i_decl,type,
    lMariaPaola_THFTYPE_i: $i ).

thf(lMeeting_THFTYPE_i_decl,type,
    lMeeting_THFTYPE_i: $i ).

thf(lReiner_THFTYPE_i_decl,type,
    lReiner_THFTYPE_i: $i ).

thf(lWhenFn_THFTYPE_IiiI_decl,type,
    lWhenFn_THFTYPE_IiiI: $i > $i ).

thf(lNear_THFTYPE_i_decl,type,
    lNear_THFTYPE_i: $i ).

thf(orientation_THFTYPE_IiiioI_decl,type,
    orientation_THFTYPE_IiiioI: $i > $i > $i > $o ).

thf(1,conjecture,
    ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
    @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(2,negated_conjecture,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
      @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(9,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
      @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(6,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).

thf(13,plain,
    holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(18,plain,
    ( ~ $true
    | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
        @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
     != ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ) ) ),
    inference(paramod_ordered,[status(thm)],[13,9]) ).

thf(19,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
      @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
   != ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ) ),
    inference(simp,[status(thm)],[18]) ).

thf(20,plain,
    ( ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
     != ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) )
    | ~ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
    inference(simp,[status(thm)],[19]) ).

thf(21,plain,
    ( ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
     != ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) )
    | ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
    inference(cnf,[status(esa)],[20]) ).

thf(22,plain,
    connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i,
    inference(simp,[status(thm)],[21]) ).

thf(23,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ~ $true ),
    inference(rewrite,[status(thm)],[9,22]) ).

thf(24,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $false ),
    inference(simp,[status(thm)],[23]) ).

thf(7,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( instance_THFTYPE_IiioI @ A @ lMeeting_THFTYPE_i )
        & ( agent_THFTYPE_IiioI @ A @ C )
        & ( agent_THFTYPE_IiioI @ A @ B ) )
     => ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ A ) @ ( orientation_THFTYPE_IiiioI @ C @ B @ lNear_THFTYPE_i ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).

thf(14,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( instance_THFTYPE_IiioI @ A @ lMeeting_THFTYPE_i )
        & ( agent_THFTYPE_IiioI @ A @ C )
        & ( agent_THFTYPE_IiioI @ A @ B ) )
     => ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ A ) @ ( orientation_THFTYPE_IiiioI @ C @ B @ lNear_THFTYPE_i ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(4,axiom,
    agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).

thf(11,plain,
    agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(15,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( instance_THFTYPE_IiioI @ A @ lMeeting_THFTYPE_i )
      | ~ ( agent_THFTYPE_IiioI @ A @ C )
      | ~ ( agent_THFTYPE_IiioI @ A @ B )
      | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ A ) @ ( orientation_THFTYPE_IiiioI @ C @ B @ lNear_THFTYPE_i ) ) ),
    inference(cnf,[status(esa)],[14]) ).

thf(46,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( instance_THFTYPE_IiioI @ A @ lMeeting_THFTYPE_i )
      | ~ ( agent_THFTYPE_IiioI @ A @ C )
      | ~ $true
      | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ A ) @ ( orientation_THFTYPE_IiiioI @ C @ B @ lNear_THFTYPE_i ) )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i )
       != ( agent_THFTYPE_IiioI @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[11,15]) ).

thf(47,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( instance_THFTYPE_IiioI @ A @ lMeeting_THFTYPE_i )
      | ~ ( agent_THFTYPE_IiioI @ A @ C )
      | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ A ) @ ( orientation_THFTYPE_IiiioI @ C @ B @ lNear_THFTYPE_i ) )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i )
       != ( agent_THFTYPE_IiioI @ A @ B ) ) ),
    inference(simp,[status(thm)],[46]) ).

thf(48,plain,
    ! [A: $i] :
      ( ~ ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
      | ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ A )
      | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ A @ lMariaPaola_THFTYPE_i @ lNear_THFTYPE_i ) ) ),
    inference(pattern_uni,[status(thm)],[47:[bind(A,$thf( lCADE_BM_THFTYPE_i )),bind(B,$thf( lMariaPaola_THFTYPE_i ))]]) ).

thf(50,plain,
    ! [A: $i] :
      ( ~ ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
      | ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ A )
      | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ A @ lMariaPaola_THFTYPE_i @ lNear_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[48]) ).

thf(5,axiom,
    instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).

thf(12,plain,
    instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(55,plain,
    ! [A: $i] :
      ( ~ $true
      | ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ A )
      | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ A @ lMariaPaola_THFTYPE_i @ lNear_THFTYPE_i ) ) ),
    inference(rewrite,[status(thm)],[50,12]) ).

thf(56,plain,
    ! [A: $i] :
      ( ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ A )
      | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ A @ lMariaPaola_THFTYPE_i @ lNear_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[55]) ).

thf(59,plain,
    ! [A: $i] :
      ( ~ $true
      | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ A @ lMariaPaola_THFTYPE_i @ lNear_THFTYPE_i ) )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i )
       != ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[11,56]) ).

thf(60,plain,
    ! [A: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ A @ lMariaPaola_THFTYPE_i @ lNear_THFTYPE_i ) )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i )
       != ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ A ) ) ),
    inference(simp,[status(thm)],[59]) ).

thf(61,plain,
    holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lMariaPaola_THFTYPE_i @ lNear_THFTYPE_i ),
    inference(pattern_uni,[status(thm)],[60:[bind(A,$thf( lMariaPaola_THFTYPE_i ))]]) ).

thf(67,plain,
    ( ~ $true
    | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lMariaPaola_THFTYPE_i @ lNear_THFTYPE_i ) )
     != ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $false ) ) ),
    inference(paramod_ordered,[status(thm)],[61,24]) ).

thf(68,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lMariaPaola_THFTYPE_i @ lNear_THFTYPE_i ) )
   != ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $false ) ),
    inference(simp,[status(thm)],[67]) ).

thf(69,plain,
    ( ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
     != ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) )
    | ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lMariaPaola_THFTYPE_i @ lNear_THFTYPE_i ) ),
    inference(simp,[status(thm)],[68]) ).

thf(70,plain,
    orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lMariaPaola_THFTYPE_i @ lNear_THFTYPE_i,
    inference(simp,[status(thm)],[69]) ).

thf(8,axiom,
    ! [A: $i,B: $i] :
      ( ( orientation_THFTYPE_IiiioI @ A @ B @ lNear_THFTYPE_i )
     => ~ ( connected_THFTYPE_IiioI @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).

thf(16,plain,
    ! [A: $i,B: $i] :
      ( ( orientation_THFTYPE_IiiioI @ A @ B @ lNear_THFTYPE_i )
     => ~ ( connected_THFTYPE_IiioI @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(17,plain,
    ! [B: $i,A: $i] :
      ( ~ ( orientation_THFTYPE_IiiioI @ A @ B @ lNear_THFTYPE_i )
      | ~ ( connected_THFTYPE_IiioI @ A @ B ) ),
    inference(cnf,[status(esa)],[16]) ).

thf(72,plain,
    ! [B: $i,A: $i] :
      ( ~ $true
      | ~ ( connected_THFTYPE_IiioI @ A @ B )
      | ( ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lMariaPaola_THFTYPE_i @ lNear_THFTYPE_i )
       != ( orientation_THFTYPE_IiiioI @ A @ B @ lNear_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[70,17]) ).

thf(73,plain,
    ! [B: $i,A: $i] :
      ( ~ ( connected_THFTYPE_IiioI @ A @ B )
      | ( ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lMariaPaola_THFTYPE_i @ lNear_THFTYPE_i )
       != ( orientation_THFTYPE_IiiioI @ A @ B @ lNear_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[72]) ).

thf(74,plain,
    ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lMariaPaola_THFTYPE_i ),
    inference(pattern_uni,[status(thm)],[73:[bind(A,$thf( lMariaPaola_THFTYPE_i )),bind(B,$thf( lMariaPaola_THFTYPE_i ))]]) ).

thf(25,plain,
    ! [B: $i,A: $i] :
      ( ~ ( orientation_THFTYPE_IiiioI @ A @ B @ lNear_THFTYPE_i )
      | ~ $true
      | ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
       != ( connected_THFTYPE_IiioI @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[22,17]) ).

thf(26,plain,
    ! [B: $i,A: $i] :
      ( ~ ( orientation_THFTYPE_IiiioI @ A @ B @ lNear_THFTYPE_i )
      | ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
       != ( connected_THFTYPE_IiioI @ A @ B ) ) ),
    inference(simp,[status(thm)],[25]) ).

thf(27,plain,
    ~ ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ),
    inference(pattern_uni,[status(thm)],[26:[bind(A,$thf( lMariaPaola_THFTYPE_i )),bind(B,$thf( lReiner_THFTYPE_i ))]]) ).

thf(79,plain,
    ( ~ $true
    | ( ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
     != ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lMariaPaola_THFTYPE_i @ lNear_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[70,27]) ).

thf(80,plain,
    ( ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
   != ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lMariaPaola_THFTYPE_i @ lNear_THFTYPE_i ) ),
    inference(simp,[status(thm)],[79]) ).

thf(81,plain,
    ( ( lMariaPaola_THFTYPE_i != lMariaPaola_THFTYPE_i )
    | ( lReiner_THFTYPE_i != lMariaPaola_THFTYPE_i )
    | ( lNear_THFTYPE_i != lNear_THFTYPE_i ) ),
    inference(simp,[status(thm)],[80]) ).

thf(82,plain,
    lReiner_THFTYPE_i != lMariaPaola_THFTYPE_i,
    inference(simp,[status(thm)],[81]) ).

thf(3,axiom,
    agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).

thf(10,plain,
    agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(38,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( instance_THFTYPE_IiioI @ A @ lMeeting_THFTYPE_i )
      | ~ ( agent_THFTYPE_IiioI @ A @ C )
      | ~ ( agent_THFTYPE_IiioI @ A @ B )
      | ~ $true
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ A ) @ ( orientation_THFTYPE_IiiioI @ C @ B @ lNear_THFTYPE_i ) )
       != ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $false ) ) ),
    inference(paramod_ordered,[status(thm)],[15,24]) ).

thf(39,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( instance_THFTYPE_IiioI @ A @ lMeeting_THFTYPE_i )
      | ~ ( agent_THFTYPE_IiioI @ A @ C )
      | ~ ( agent_THFTYPE_IiioI @ A @ B )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ A ) @ ( orientation_THFTYPE_IiiioI @ C @ B @ lNear_THFTYPE_i ) )
       != ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $false ) ) ),
    inference(simp,[status(thm)],[38]) ).

thf(49,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( instance_THFTYPE_IiioI @ A @ lMeeting_THFTYPE_i )
      | ~ ( agent_THFTYPE_IiioI @ A @ C )
      | ~ ( agent_THFTYPE_IiioI @ A @ B )
      | ( ( lWhenFn_THFTYPE_IiiI @ A )
       != ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) )
      | ( orientation_THFTYPE_IiiioI @ C @ B @ lNear_THFTYPE_i ) ),
    inference(simp,[status(thm)],[39]) ).

thf(153,plain,
    $false,
    inference(e,[status(thm)],[24,14,74,70,9,13,17,16,11,82,15,10,56,22,27,12,49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR141^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.12/0.21  % Computer : n006.cluster.edu
% 0.12/0.21  % Model    : x86_64 x86_64
% 0.12/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.21  % Memory   : 8046.5625MB
% 0.12/0.21  % OS       : Linux 6.8.0-71-generic
% 0.12/0.21  % CPULimit : 300
% 0.12/0.21  % WCLimit  : 300
% 0.12/0.21  % DateTime : Tue Sep 29 17:56:09 UTC 2026
% 0.12/0.21  % CPUTime  : 
% 0.12/0.21  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.86/0.78  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.21/0.99  % [INFO] 	 Parsing done (203ms). 
% 1.21/1.01  % [INFO] 	 Running in sequential loop mode. 
% 2.05/1.40  % [INFO] 	 eprover registered as external prover. 
% 2.05/1.41  % [INFO] 	 Scanning for conjecture ... 
% 2.05/1.49  % [INFO] 	 Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ... 
% 2.21/1.52  % [INFO] 	 Axiom selection finished. Selected 6 axioms (removed 0 axioms). 
% 2.21/1.55  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.21/1.55  % [INFO] 	 Type checking passed. 
% 2.21/1.56  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 5.37/2.75  % External prover 'e' found a proof!
% 5.37/2.75  % [INFO] 	 Killing All external provers ... 
% 5.37/2.75  % Time passed: 2402ms (effective reasoning time: 1739ms)
% 5.37/2.75  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 5.37/2.75  % Axioms used in derivation (6): ax_003, ax_001, ax_002, ax_005, ax, ax_004
% 5.37/2.75  % No. of inferences in proof: 51
% 5.37/2.76  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2402 ms resp. 1739 ms w/o parsing
% 5.79/2.81  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.79/2.81  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------