TSTP Solution File: SET787-2 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SET787-2 : TPTP v8.2.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n021.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  : 300s
% DateTime : Tue May 21 03:03:52 EDT 2024

% Result   : Unsatisfiable 5.31s 2.45s
% Output   : Refutation 6.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :  218
% Syntax   : Number of formulae    :  368 (  45 unt;  69 typ;   0 def)
%            Number of atoms       :  617 ( 128 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives : 2694 ( 300   ~; 318   |;   0   &;2076   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  129 ( 129   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   71 (  69 usr;   6 con; 0-8 aty)
%            Number of variables   :  900 (   0   ^ 900   !;   0   ?; 900   :)

% Comments : 
%------------------------------------------------------------------------------
thf(member_type,type,
    member: $i > $i > $o ).

thf(sk2_type,type,
    sk2: $i ).

thf(union_type,type,
    union: $i > $i ).

thf(cons_type,type,
    cons: $i > $i > $i ).

thf(a_type,type,
    a: $i ).

thf(b_type,type,
    b: $i ).

thf(eptset_type,type,
    eptset: $i ).

thf(un_type,type,
    un: $i > $i > $i ).

thf(snd_type,type,
    snd: $i > $i ).

thf(pair_type,type,
    pair: $i > $i > $i ).

thf(inr_type,type,
    inr: $i > $i ).

thf(inl_type,type,
    inl: $i > $i ).

thf(qInl_type,type,
    qInl: $i > $i ).

thf(qPair_type,type,
    qPair: $i > $i > $i ).

thf(le_type,type,
    le: $i > $i > $o ).

thf(ord_type,type,
    ord: $i > $o ).

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(qInr_type,type,
    qInr: $i > $i ).

thf(order_Inter_sk1_type,type,
    order_Inter_sk1: $i > $i ).

thf(inter_type,type,
    inter: $i > $i ).

thf(fst_type,type,
    fst: $i > $i ).

thf(succ_type,type,
    succ: $i > $i ).

thf(rmultE_c2_type,type,
    rmultE_c2: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(lt_type,type,
    lt: $i > $i > $o ).

thf(comp_type,type,
    comp: $i > $i > $i ).

thf(compE_sk2_type,type,
    compE_sk2: $i > $i > $i > $i ).

thf(compE_sk3_type,type,
    compE_sk3: $i > $i > $i > $i ).

thf(subsetD_sk1_type,type,
    subsetD_sk1: $i > $i > $i > $i ).

thf(rmultE_c1_type,type,
    rmultE_c1: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(int_type,type,
    int: $i > $i > $i ).

thf(qsum_type,type,
    qsum: $i > $i > $i ).

thf(qsumE_sk1_type,type,
    qsumE_sk1: $i > $i > $i > $i ).

thf(qsumE_sk2_type,type,
    qsumE_sk2: $i > $i > $i > $i ).

thf(id_type,type,
    id: $i > $i ).

thf(idE_sk1_type,type,
    idE_sk1: $i > $i > $i ).

thf(disjsum_type,type,
    disjsum: $i > $i > $i ).

thf(pow_type,type,
    pow: $i > $i ).

thf(radd_type,type,
    radd: $i > $i > $i > $i > $i ).

thf(sumE_sk1_type,type,
    sumE_sk1: $i > $i > $i > $i ).

thf(sumE_sk2_type,type,
    sumE_sk2: $i > $i > $i > $i ).

thf(qconverse_type,type,
    qconverse: $i > $i ).

thf(subsetI_sk1_type,type,
    subsetI_sk1: $i > $i > $i ).

thf(upair_type,type,
    upair: $i > $i > $i ).

thf(memrel_type,type,
    memrel: $i > $i ).

thf(diff_type,type,
    diff: $i > $i > $i ).

thf(interI_sk1_type,type,
    interI_sk1: $i > $i > $i ).

thf(order_Union_sk1_type,type,
    order_Union_sk1: $i > $i ).

thf(converse_type,type,
    converse: $i > $i ).

thf(converseE_sk2_type,type,
    converseE_sk2: $i > $i ).

thf(converseE_sk1_type,type,
    converseE_sk1: $i > $i ).

thf(rmult_type,type,
    rmult: $i > $i > $i > $i > $i ).

thf(sigma_type,type,
    sigma: $i > $i > $i ).

thf(apply_type,type,
    apply: $i > $i > $i ).

thf(compE_sk1_type,type,
    compE_sk1: $i > $i > $i > $i ).

thf(field_type,type,
    field: $i > $i ).

thf(card_Union_sk1_type,type,
    card_Union_sk1: $i > $i ).

thf(card_type,type,
    card: $i > $o ).

thf(converse_sk1_type,type,
    converse_sk1: $i > $i ).

thf(converse_sk2_type,type,
    converse_sk2: $i > $i ).

thf(vimage_type,type,
    vimage: $i > $i > $i ).

thf(powI_sk1_type,type,
    powI_sk1: $i > $i > $i ).

thf(sigmaE_sk1x_type,type,
    sigmaE_sk1x: $i > $i > $i > $i ).

thf(sigmaE_sk1y_type,type,
    sigmaE_sk1y: $i > $i > $i > $i ).

thf(fin_type,type,
    fin: $i > $i ).

thf(qconverseE_sk1_type,type,
    qconverseE_sk1: $i > $i > $i ).

thf(qconverseE_sk2_type,type,
    qconverseE_sk2: $i > $i > $i ).

thf(nat_type,type,
    nat: $i ).

thf(image_type,type,
    image: $i > $i > $i ).

thf(unionE_sk1_type,type,
    unionE_sk1: $i > $i > $i ).

thf(82,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( inr @ A ) @ ( inr @ B ) ) @ ( radd @ C @ D @ E @ F ) )
      | ( member @ B @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

thf(352,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( inr @ A ) @ ( inr @ B ) ) @ ( radd @ C @ D @ E @ F ) )
      | ( member @ B @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).

thf(108,axiom,
    ! [A: $i] :
      ( ~ ( le @ A @ eptset )
      | ( A = eptset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

thf(408,plain,
    ! [A: $i] :
      ( ~ ( le @ A @ eptset )
      | ( A = eptset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).

thf(62,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( A != B )
      | ( member @ A @ ( cons @ B @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).

thf(308,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A != B )
      | ( member @ A @ ( cons @ B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(95,axiom,
    ! [A: $i] :
      ( ( member @ ( card_Union_sk1 @ A ) @ A )
      | ( card @ ( union @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).

thf(379,plain,
    ! [A: $i] :
      ( ( member @ ( card_Union_sk1 @ A ) @ A )
      | ( card @ ( union @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).

thf(123,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( fin @ B ) )
      | ( member @ ( int @ A @ C ) @ ( fin @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).

thf(440,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( fin @ B ) )
      | ( member @ ( int @ A @ C ) @ ( fin @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).

thf(43,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( disjsum @ B @ C ) )
      | ( member @ ( sumE_sk1 @ A @ B @ C ) @ B )
      | ( member @ ( sumE_sk2 @ A @ B @ C ) @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

thf(269,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( disjsum @ B @ C ) )
      | ( member @ ( sumE_sk1 @ A @ B @ C ) @ B )
      | ( member @ ( sumE_sk2 @ A @ B @ C ) @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(98,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( disjsum @ B @ C ) )
      | ( member @ ( sumE_sk1 @ A @ B @ C ) @ B )
      | ( A
        = ( inr @ ( sumE_sk2 @ A @ B @ C ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

thf(385,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( disjsum @ B @ C ) )
      | ( member @ ( sumE_sk1 @ A @ B @ C ) @ B )
      | ( A
        = ( inr @ ( sumE_sk2 @ A @ B @ C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).

thf(76,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ~ ( member @ C @ A )
      | ( member @ C @ ( union @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

thf(340,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ~ ( member @ C @ A )
      | ( member @ C @ ( union @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(3,axiom,
    ! [B: $i,A: $i] :
      ( ( snd @ ( pair @ A @ B ) )
      = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

thf(153,plain,
    ! [B: $i,A: $i] :
      ( ( snd @ ( pair @ A @ B ) )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(14,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( pair @ A @ B )
       != ( pair @ C @ D ) )
      | ( B = D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

thf(185,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( pair @ A @ B )
       != ( pair @ C @ D ) )
      | ( B = D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(112,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( sigma @ B @ C ) )
      | ( member @ ( sigmaE_sk1y @ B @ C @ A ) @ ( apply @ C @ ( sigmaE_sk1x @ B @ C @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

thf(417,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( sigma @ B @ C ) )
      | ( member @ ( sigmaE_sk1y @ B @ C @ A ) @ ( apply @ C @ ( sigmaE_sk1x @ B @ C @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).

thf(122,axiom,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( member @ A @ ( succ @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).

thf(436,plain,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( member @ A @ ( succ @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).

thf(13,axiom,
    ! [A: $i] : ( subset @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

thf(184,plain,
    ! [A: $i] : ( subset @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(78,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( un @ B @ C ) )
      | ( member @ A @ B )
      | ( member @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

thf(344,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( un @ B @ C ) )
      | ( member @ A @ B )
      | ( member @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(85,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( subset @ A @ B )
      | ~ ( member @ C @ A )
      | ( member @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

thf(357,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( subset @ A @ B )
      | ~ ( member @ C @ A )
      | ( member @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).

thf(17,axiom,
    ! [B: $i,A: $i] :
      ( ( pair @ A @ B )
     != A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

thf(196,plain,
    ! [B: $i,A: $i] :
      ( ( pair @ A @ B )
     != A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(15,axiom,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( subset @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

thf(189,plain,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( subset @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(114,axiom,
    ! [B: $i,A: $i] : ( member @ A @ ( cons @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

thf(421,plain,
    ! [B: $i,A: $i] : ( member @ A @ ( cons @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).

thf(51,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c2 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ D @ G ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

thf(284,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c2 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ D @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(69,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ ( un @ B @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unI1) ).

thf(325,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ ( un @ B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(53,axiom,
    ! [B: $i,A: $i] : ( member @ A @ ( upair @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

thf(289,plain,
    ! [B: $i,A: $i] : ( member @ A @ ( upair @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(127,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( ord @ A )
      | ~ ( ord @ B )
      | ( ord @ ( un @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

thf(448,plain,
    ! [B: $i,A: $i] :
      ( ~ ( ord @ A )
      | ~ ( ord @ B )
      | ( ord @ ( un @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).

thf(65,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ ( un @ C @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).

thf(316,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ ( un @ C @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(39,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ ( inr @ A ) @ ( disjsum @ C @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

thf(261,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ ( inr @ A ) @ ( disjsum @ C @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(24,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( qPair @ A @ B )
       != ( qPair @ C @ D ) )
      | ( B = D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

thf(216,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( qPair @ A @ B )
       != ( qPair @ C @ D ) )
      | ( B = D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(67,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ ( memrel @ C ) )
      | ( member @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

thf(321,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ ( memrel @ C ) )
      | ( member @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(80,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( disjsum @ B @ C ) )
      | ( A
        = ( inl @ ( sumE_sk1 @ A @ B @ C ) ) )
      | ( member @ ( sumE_sk2 @ A @ B @ C ) @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

thf(348,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( disjsum @ B @ C ) )
      | ( A
        = ( inl @ ( sumE_sk1 @ A @ B @ C ) ) )
      | ( member @ ( sumE_sk2 @ A @ B @ C ) @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).

thf(141,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( union @ B ) )
      | ( member @ A @ ( unionE_sk1 @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

thf(480,plain,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( union @ B ) )
      | ( member @ A @ ( unionE_sk1 @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).

thf(55,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( diff @ B @ C ) )
      | ~ ( member @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

thf(293,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( diff @ B @ C ) )
      | ~ ( member @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(103,axiom,
    ! [B: $i,A: $i] :
      ( ( member @ ( subsetI_sk1 @ A @ B ) @ A )
      | ( subset @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

thf(396,plain,
    ! [B: $i,A: $i] :
      ( ( member @ ( subsetI_sk1 @ A @ B ) @ A )
      | ( subset @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).

thf(109,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ ( inl @ A ) @ ( disjsum @ B @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

thf(411,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ ( inl @ A ) @ ( disjsum @ B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).

thf(118,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ C @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

thf(428,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ C @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).

thf(41,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ~ ( member @ ( pair @ ( inr @ A ) @ ( inl @ B ) ) @ ( radd @ C @ D @ E @ F ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

thf(265,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ~ ( member @ ( pair @ ( inr @ A ) @ ( inl @ B ) ) @ ( radd @ C @ D @ E @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(63,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( qsum @ B @ C ) )
      | ( member @ ( qsumE_sk1 @ A @ B @ C ) @ B )
      | ( member @ ( qsumE_sk2 @ A @ B @ C ) @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

thf(312,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( qsum @ B @ C ) )
      | ( member @ ( qsumE_sk1 @ A @ B @ C ) @ B )
      | ( member @ ( qsumE_sk2 @ A @ B @ C ) @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(129,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ C )
      | ( member @ A @ ( diff @ B @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).

thf(452,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ C )
      | ( member @ A @ ( diff @ B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).

thf(33,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( comp @ B @ C ) )
      | ( member @ ( pair @ ( compE_sk2 @ A @ B @ C ) @ ( compE_sk3 @ A @ B @ C ) ) @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

thf(248,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( comp @ B @ C ) )
      | ( member @ ( pair @ ( compE_sk2 @ A @ B @ C ) @ ( compE_sk3 @ A @ B @ C ) ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(19,axiom,
    ! [B: $i,A: $i] :
      ( ( fst @ ( pair @ A @ B ) )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

thf(201,plain,
    ! [B: $i,A: $i] :
      ( ( fst @ ( pair @ A @ B ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(96,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( converse @ B ) )
      | ( member @ ( pair @ ( converse_sk1 @ A ) @ ( converse_sk2 @ A ) ) @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converseE_2) ).

thf(381,plain,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( converse @ B ) )
      | ( member @ ( pair @ ( converse_sk1 @ A ) @ ( converse_sk2 @ A ) ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).

thf(25,axiom,
    ! [B: $i,A: $i] :
      ( ( qInr @ A )
     != ( qInl @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

thf(220,plain,
    ! [B: $i,A: $i] :
      ( ( qInr @ A )
     != ( qInl @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(73,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( pair @ A @ B ) @ ( pair @ C @ D ) ) @ ( rmult @ E @ F @ G @ H ) )
      | ( rmultE_c1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( rmultE_c2 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

thf(334,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( pair @ A @ B ) @ ( pair @ C @ D ) ) @ ( rmult @ E @ F @ G @ H ) )
      | ( rmultE_c1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( rmultE_c2 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(59,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( interI_sk1 @ A @ B ) )
      | ~ ( member @ C @ B )
      | ( member @ A @ ( inter @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).

thf(302,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( interI_sk1 @ A @ B ) )
      | ~ ( member @ C @ B )
      | ( member @ A @ ( inter @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(101,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ ( un @ C @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unI2) ).

thf(392,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ ( un @ C @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).

thf(116,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c2 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ C @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

thf(424,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c2 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ C @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).

thf(135,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ C )
      | ( member @ B @ ( field @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

thf(467,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ C )
      | ( member @ B @ ( field @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).

thf(143,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ ( memrel @ C ) )
      | ( member @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

thf(484,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ ( memrel @ C ) )
      | ( member @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).

thf(35,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ B @ G ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

thf(252,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ B @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(87,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ ( cons @ C @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

thf(361,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ ( cons @ C @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).

thf(131,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( qsum @ B @ C ) )
      | ( A
        = ( qInl @ ( qsumE_sk1 @ A @ B @ C ) ) )
      | ( member @ ( qsumE_sk2 @ A @ B @ C ) @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

thf(456,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( qsum @ B @ C ) )
      | ( A
        = ( qInl @ ( qsumE_sk1 @ A @ B @ C ) ) )
      | ( member @ ( qsumE_sk2 @ A @ B @ C ) @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).

thf(106,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( member @ ( powI_sk1 @ A @ B ) @ B )
      | ( member @ A @ ( pow @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

thf(403,plain,
    ! [B: $i,A: $i] :
      ( ~ ( member @ ( powI_sk1 @ A @ B ) @ B )
      | ( member @ A @ ( pow @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).

thf(99,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ C )
      | ~ ( member @ B @ D )
      | ( member @ A @ ( vimage @ C @ D ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

thf(388,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ C )
      | ~ ( member @ B @ D )
      | ( member @ A @ ( vimage @ C @ D ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).

thf(8,axiom,
    ! [B: $i,A: $i] :
      ( ( ( qInl @ A )
       != ( qInl @ B ) )
      | ( A = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

thf(169,plain,
    ! [B: $i,A: $i] :
      ( ( ( qInl @ A )
       != ( qInl @ B ) )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(145,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( upair @ B @ C ) )
      | ( A = B )
      | ( A = C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

thf(488,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( upair @ B @ C ) )
      | ( A = B )
      | ( A = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).

thf(16,axiom,
    ! [B: $i,A: $i] :
      ( ( qInl @ A )
     != ( qInr @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

thf(193,plain,
    ! [B: $i,A: $i] :
      ( ( qInl @ A )
     != ( qInr @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(139,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( inl @ A ) @ ( inl @ B ) ) @ ( radd @ C @ D @ E @ F ) )
      | ( member @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

thf(476,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( inl @ A ) @ ( inl @ B ) ) @ ( radd @ C @ D @ E @ F ) )
      | ( member @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).

thf(23,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A != B )
      | ( C != D )
      | ( ( pair @ A @ C )
        = ( pair @ B @ D ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

thf(212,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A != B )
      | ( C != D )
      | ( ( pair @ A @ C )
        = ( pair @ B @ D ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(71,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( qsum @ B @ C ) )
      | ( member @ ( qsumE_sk1 @ A @ B @ C ) @ B )
      | ( A
        = ( qInr @ ( qsumE_sk2 @ A @ B @ C ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

thf(328,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( qsum @ B @ C ) )
      | ( member @ ( qsumE_sk1 @ A @ B @ C ) @ B )
      | ( A
        = ( qInr @ ( qsumE_sk2 @ A @ B @ C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(137,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( qconverse @ B ) )
      | ( A
        = ( qPair @ ( qconverseE_sk2 @ A @ B ) @ ( qconverseE_sk1 @ A @ B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

thf(471,plain,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( qconverse @ B ) )
      | ( A
        = ( qPair @ ( qconverseE_sk2 @ A @ B ) @ ( qconverseE_sk1 @ A @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).

thf(37,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( qsum @ B @ C ) )
      | ( A
        = ( qInl @ ( qsumE_sk1 @ A @ B @ C ) ) )
      | ( A
        = ( qInr @ ( qsumE_sk2 @ A @ B @ C ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

thf(256,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( qsum @ B @ C ) )
      | ( A
        = ( qInl @ ( qsumE_sk1 @ A @ B @ C ) ) )
      | ( A
        = ( qInr @ ( qsumE_sk2 @ A @ B @ C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(9,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( qPair @ A @ B )
       != ( qPair @ C @ D ) )
      | ( A = C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

thf(173,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( qPair @ A @ B )
       != ( qPair @ C @ D ) )
      | ( A = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(91,axiom,
    ! [A: $i] :
      ( ~ ( le @ eptset @ ( succ @ A ) )
      | ( ord @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

thf(371,plain,
    ! [A: $i] :
      ( ~ ( le @ eptset @ ( succ @ A ) )
      | ( ord @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).

thf(32,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( pair @ A @ B )
       != ( pair @ C @ D ) )
      | ( A = C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

thf(244,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( pair @ A @ B )
       != ( pair @ C @ D ) )
      | ( A = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(104,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ C )
      | ( member @ ( pair @ B @ A ) @ ( converse @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

thf(398,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ C )
      | ( member @ ( pair @ B @ A ) @ ( converse @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).

thf(119,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( sigma @ B @ C ) )
      | ( member @ ( sigmaE_sk1x @ B @ C @ A ) @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

thf(430,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( sigma @ B @ C ) )
      | ( member @ ( sigmaE_sk1x @ B @ C @ A ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).

thf(7,axiom,
    ! [B: $i,A: $i] :
      ( ( pair @ A @ B )
     != B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

thf(166,plain,
    ! [B: $i,A: $i] :
      ( ( pair @ A @ B )
     != B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(48,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( member @ ( subsetI_sk1 @ A @ B ) @ B )
      | ( subset @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

thf(279,plain,
    ! [B: $i,A: $i] :
      ( ~ ( member @ ( subsetI_sk1 @ A @ B ) @ B )
      | ( subset @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(125,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( qconverse @ B ) )
      | ( member @ ( qPair @ ( qconverseE_sk1 @ A @ B ) @ ( qconverseE_sk2 @ A @ B ) ) @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

thf(444,plain,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( qconverse @ B ) )
      | ( member @ ( qPair @ ( qconverseE_sk1 @ A @ B ) @ ( qconverseE_sk2 @ A @ B ) ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).

thf(93,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ ( succ @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).

thf(375,plain,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ ( succ @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).

thf(11,axiom,
    ! [A: $i] :
      ( ~ ( le @ A @ A )
      | ( ord @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

thf(180,plain,
    ! [A: $i] :
      ( ~ ( le @ A @ A )
      | ( ord @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(57,axiom,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( ( cons @ A @ eptset )
        = ( cons @ B @ eptset ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).

thf(296,plain,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( ( cons @ A @ eptset )
        = ( cons @ B @ eptset ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(52,axiom,
    ! [B: $i,A: $i] :
      ( ( pair @ A @ B )
     != eptset ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

thf(286,plain,
    ! [B: $i,A: $i] :
      ( ( pair @ A @ B )
     != eptset ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(49,axiom,
    ! [B: $i,A: $i] : ( member @ A @ ( upair @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

thf(281,plain,
    ! [B: $i,A: $i] : ( member @ A @ ( upair @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(38,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( id @ B ) )
      | ( member @ ( idE_sk1 @ A @ B ) @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

thf(259,plain,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( id @ B ) )
      | ( member @ ( idE_sk1 @ A @ B ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(110,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ A @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

thf(413,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ A @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).

thf(149,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( int @ B @ C ) )
      | ( member @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

thf(498,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( int @ B @ C ) )
      | ( member @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).

thf(30,axiom,
    ! [B: $i,A: $i] :
      ( ( ( succ @ A )
       != ( succ @ B ) )
      | ( A = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

thf(236,plain,
    ! [B: $i,A: $i] :
      ( ( ( succ @ A )
       != ( succ @ B ) )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(5,axiom,
    ! [B: $i,A: $i] :
      ( ( inl @ A )
     != ( inr @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

thf(159,plain,
    ! [B: $i,A: $i] :
      ( ( inl @ A )
     != ( inr @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(46,axiom,
    ! [B: $i,A: $i] :
      ( ( ( cons @ A @ eptset )
       != ( cons @ B @ eptset ) )
      | ( A = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

thf(274,plain,
    ! [B: $i,A: $i] :
      ( ( ( cons @ A @ eptset )
       != ( cons @ B @ eptset ) )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(113,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ ( interI_sk1 @ C @ B ) @ B )
      | ( member @ C @ ( inter @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).

thf(419,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ ( interI_sk1 @ C @ B ) @ B )
      | ( member @ C @ ( inter @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).

thf(94,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ C )
      | ( member @ A @ ( field @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

thf(377,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ C )
      | ( member @ A @ ( field @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).

thf(28,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( le @ ( succ @ A ) @ B )
      | ( lt @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

thf(230,plain,
    ! [B: $i,A: $i] :
      ( ~ ( le @ ( succ @ A ) @ B )
      | ( lt @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(66,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( converse @ B ) )
      | ( A
        = ( pair @ ( converseE_sk2 @ A ) @ ( converseE_sk1 @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converseE_1) ).

thf(318,plain,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( converse @ B ) )
      | ( A
        = ( pair @ ( converseE_sk2 @ A ) @ ( converseE_sk1 @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(121,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ eptset )
      | ( member @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

thf(434,plain,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ eptset )
      | ( member @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).

thf(44,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( qPair @ A @ B ) @ ( qconverse @ C ) )
      | ( member @ ( qPair @ B @ A ) @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

thf(271,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( qPair @ A @ B ) @ ( qconverse @ C ) )
      | ( member @ ( qPair @ B @ A ) @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(147,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( union @ B ) )
      | ( member @ ( unionE_sk1 @ A @ B ) @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

thf(494,plain,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( union @ B ) )
      | ( member @ ( unionE_sk1 @ A @ B ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).

thf(89,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c2 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ B @ G ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

thf(367,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c2 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ B @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).

thf(68,axiom,
    ! [A: $i] :
      ( ( member @ ( order_Inter_sk1 @ A ) @ A )
      | ( ord @ ( inter @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).

thf(323,plain,
    ! [A: $i] :
      ( ( member @ ( order_Inter_sk1 @ A ) @ A )
      | ( ord @ ( inter @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(31,axiom,
    ! [B: $i,A: $i] :
      ( ( ( inl @ A )
       != ( inl @ B ) )
      | ( A = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

thf(240,plain,
    ! [B: $i,A: $i] :
      ( ( ( inl @ A )
       != ( inl @ B ) )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(4,axiom,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( ( inr @ A )
        = ( inr @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

thf(155,plain,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( ( inr @ A )
        = ( inr @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(133,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( succ @ B ) )
      | ( A = B )
      | ( member @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

thf(462,plain,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( succ @ B ) )
      | ( A = B )
      | ( member @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).

thf(26,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( subset @ A @ B )
      | ~ ( subset @ B @ A )
      | ( A = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

thf(223,plain,
    ! [B: $i,A: $i] :
      ( ~ ( subset @ A @ B )
      | ~ ( subset @ B @ A )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(27,axiom,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( subset @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

thf(226,plain,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( subset @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(42,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( subset @ A @ B )
      | ~ ( member @ C @ A )
      | ( member @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetD) ).

thf(267,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( subset @ A @ B )
      | ~ ( member @ C @ A )
      | ( member @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(102,axiom,
    ! [B: $i,A: $i] :
      ( ( member @ ( powI_sk1 @ A @ B ) @ A )
      | ( member @ A @ ( pow @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).

thf(394,plain,
    ! [B: $i,A: $i] :
      ( ( member @ ( powI_sk1 @ A @ B ) @ A )
      | ( member @ A @ ( pow @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).

thf(61,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ ( subsetD_sk1 @ B @ C @ A ) @ B )
      | ( member @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

thf(306,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ ( subsetD_sk1 @ B @ C @ A ) @ B )
      | ( member @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(117,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( inr @ A ) @ ( inr @ B ) ) @ ( radd @ C @ D @ E @ F ) )
      | ( member @ ( pair @ A @ B ) @ F ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

thf(426,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( inr @ A ) @ ( inr @ B ) ) @ ( radd @ C @ D @ E @ F ) )
      | ( member @ ( pair @ A @ B ) @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).

thf(6,axiom,
    ! [B: $i,A: $i] :
      ( ( ( inr @ A )
       != ( inr @ B ) )
      | ( A = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

thf(162,plain,
    ! [B: $i,A: $i] :
      ( ( ( inr @ A )
       != ( inr @ B ) )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(22,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c2 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( A = C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

thf(209,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c2 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( A = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(77,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( sigma @ B @ C ) )
      | ( member @ ( fst @ A ) @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

thf(342,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( sigma @ B @ C ) )
      | ( member @ ( fst @ A ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(84,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( comp @ B @ C ) )
      | ( member @ ( pair @ ( compE_sk1 @ A @ B @ C ) @ ( compE_sk2 @ A @ B @ C ) ) @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

thf(355,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( comp @ B @ C ) )
      | ( member @ ( pair @ ( compE_sk1 @ A @ B @ C ) @ ( compE_sk2 @ A @ B @ C ) ) @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).

thf(56,axiom,
    ! [A: $i] : ( member @ eptset @ ( pow @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

thf(295,plain,
    ! [A: $i] : ( member @ eptset @ ( pow @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(50,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ ( memrel @ C ) )
      | ( member @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

thf(282,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ ( memrel @ C ) )
      | ( member @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(1,negated_conjecture,
    member @ sk2 @ ( union @ ( cons @ a @ ( cons @ b @ eptset ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',un_eq_Union_2_c1) ).

thf(150,plain,
    member @ sk2 @ ( union @ ( cons @ a @ ( cons @ b @ eptset ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(70,axiom,
    ! [A: $i] : ( member @ A @ ( succ @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

thf(327,plain,
    ! [A: $i] : ( member @ A @ ( succ @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(40,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( pow @ B ) )
      | ~ ( member @ C @ A )
      | ( member @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

thf(263,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( pow @ B ) )
      | ~ ( member @ C @ A )
      | ( member @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(18,axiom,
    ! [A: $i] :
      ( ~ ( ord @ ( order_Inter_sk1 @ A ) )
      | ( ord @ ( inter @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

thf(199,plain,
    ! [A: $i] :
      ( ~ ( ord @ ( order_Inter_sk1 @ A ) )
      | ( ord @ ( inter @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(72,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( disjsum @ B @ C ) )
      | ( A
        = ( inl @ ( sumE_sk1 @ A @ B @ C ) ) )
      | ( A
        = ( inr @ ( sumE_sk2 @ A @ B @ C ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

thf(331,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( disjsum @ B @ C ) )
      | ( A
        = ( inl @ ( sumE_sk1 @ A @ B @ C ) ) )
      | ( A
        = ( inr @ ( sumE_sk2 @ A @ B @ C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(75,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( inl @ A ) @ ( inl @ B ) ) @ ( radd @ C @ D @ E @ F ) )
      | ( member @ ( pair @ A @ B ) @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

thf(338,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( inl @ A ) @ ( inl @ B ) ) @ ( radd @ C @ D @ E @ F ) )
      | ( member @ ( pair @ A @ B ) @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(86,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ C )
      | ~ ( member @ ( pair @ B @ D ) @ E )
      | ( member @ ( pair @ A @ D ) @ ( comp @ E @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

thf(359,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ C )
      | ~ ( member @ ( pair @ B @ D ) @ E )
      | ( member @ ( pair @ A @ D ) @ ( comp @ E @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).

thf(10,axiom,
    ! [B: $i,A: $i] :
      ( ( inr @ A )
     != ( inl @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

thf(177,plain,
    ! [B: $i,A: $i] :
      ( ( inr @ A )
     != ( inl @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(12,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( subset @ A @ B )
      | ~ ( subset @ B @ C )
      | ( subset @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

thf(182,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( subset @ A @ B )
      | ~ ( subset @ B @ C )
      | ( subset @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(74,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( inl @ A ) @ ( inr @ B ) ) @ ( radd @ C @ D @ E @ F ) )
      | ( member @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

thf(336,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( inl @ A ) @ ( inr @ B ) ) @ ( radd @ C @ D @ E @ F ) )
      | ( member @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(64,axiom,
    ! [A: $i] :
      ( ( member @ ( order_Union_sk1 @ A ) @ A )
      | ( ord @ ( union @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

thf(314,plain,
    ! [A: $i] :
      ( ( member @ ( order_Union_sk1 @ A ) @ A )
      | ( ord @ ( union @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(126,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( inter @ B ) )
      | ~ ( member @ C @ B )
      | ( member @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

thf(446,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( inter @ B ) )
      | ~ ( member @ C @ B )
      | ( member @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).

thf(128,axiom,
    ! [A: $i] :
      ( ~ ( member @ A @ nat )
      | ( member @ ( succ @ A ) @ nat ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

thf(450,plain,
    ! [A: $i] :
      ( ~ ( member @ A @ nat )
      | ( member @ ( succ @ A ) @ nat ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).

thf(88,axiom,
    ! [B: $i,A: $i] :
      ( ( A != eptset )
      | ~ ( member @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

thf(363,plain,
    ! [B: $i,A: $i] :
      ( ( A != eptset )
      | ~ ( member @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).

thf(34,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( subsetD_sk1 @ A @ B @ C ) @ B )
      | ~ ( member @ C @ A )
      | ( member @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

thf(250,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( subsetD_sk1 @ A @ B @ C ) @ B )
      | ~ ( member @ C @ A )
      | ( member @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(134,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ ( succ @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

thf(465,plain,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ ( succ @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).

thf(142,axiom,
    ! [A: $i] :
      ( ~ ( member @ ( succ @ A ) @ nat )
      | ( member @ A @ nat ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

thf(482,plain,
    ! [A: $i] :
      ( ~ ( member @ ( succ @ A ) @ nat )
      | ( member @ A @ nat ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).

thf(20,axiom,
    ! [B: $i,A: $i] :
      ( ( ( qInr @ A )
       != ( qInr @ B ) )
      | ( A = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

thf(203,plain,
    ! [B: $i,A: $i] :
      ( ( ( qInr @ A )
       != ( qInr @ B ) )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(60,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( inl @ A ) @ ( inl @ B ) ) @ ( radd @ C @ D @ E @ F ) )
      | ( member @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

thf(304,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( inl @ A ) @ ( inl @ B ) ) @ ( radd @ C @ D @ E @ F ) )
      | ( member @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(81,axiom,
    ! [A: $i] : ( member @ A @ ( pow @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

thf(351,plain,
    ! [A: $i] : ( member @ A @ ( pow @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(100,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( sigma @ B @ C ) )
      | ( member @ ( snd @ A ) @ ( apply @ C @ ( fst @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

thf(390,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( sigma @ B @ C ) )
      | ( member @ ( snd @ A ) @ ( apply @ C @ ( fst @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).

thf(54,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( cons @ B @ C ) )
      | ( A = B )
      | ( member @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

thf(290,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( cons @ B @ C ) )
      | ( A = B )
      | ( member @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(21,axiom,
    ! [A: $i] :
      ( ~ ( ord @ ( succ @ A ) )
      | ( ord @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

thf(207,plain,
    ! [A: $i] :
      ( ~ ( ord @ ( succ @ A ) )
      | ( ord @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(140,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ ( cons @ C @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).

thf(478,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ ( cons @ C @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).

thf(97,axiom,
    ! [A: $i] :
      ( ~ ( card @ ( card_Union_sk1 @ A ) )
      | ( card @ ( union @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).

thf(383,plain,
    ! [A: $i] :
      ( ~ ( card @ ( card_Union_sk1 @ A ) )
      | ( card @ ( union @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).

thf(79,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ~ ( member @ C @ ( apply @ D @ A ) )
      | ( member @ ( pair @ A @ C ) @ ( sigma @ B @ D ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

thf(346,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ~ ( member @ C @ ( apply @ D @ A ) )
      | ( member @ ( pair @ A @ C ) @ ( sigma @ B @ D ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).

thf(2,negated_conjecture,
    ~ ( member @ sk2 @ ( un @ a @ b ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',un_eq_Union_2_c2) ).

thf(151,plain,
    ~ ( member @ sk2 @ ( un @ a @ b ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(58,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ~ ( member @ A @ C )
      | ( member @ A @ ( int @ B @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).

thf(300,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ~ ( member @ A @ C )
      | ( member @ A @ ( int @ B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(120,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ ( un @ B @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

thf(432,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ B )
      | ( member @ A @ ( un @ B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).

thf(107,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( comp @ B @ C ) )
      | ( A
        = ( pair @ ( compE_sk1 @ A @ B @ C ) @ ( compE_sk3 @ A @ B @ C ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

thf(405,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( comp @ B @ C ) )
      | ( A
        = ( pair @ ( compE_sk1 @ A @ B @ C ) @ ( compE_sk3 @ A @ B @ C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).

thf(115,axiom,
    ! [A: $i] :
      ~ ( member @ A @ eptset ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

thf(422,plain,
    ! [A: $i] :
      ~ ( member @ A @ eptset ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).

thf(45,axiom,
    ! [A: $i] : ( member @ A @ ( cons @ A @ eptset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).

thf(273,plain,
    ! [A: $i] : ( member @ A @ ( cons @ A @ eptset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(92,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ ( converse @ C ) )
      | ( member @ ( pair @ B @ A ) @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converseD) ).

thf(373,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ ( converse @ C ) )
      | ( member @ ( pair @ B @ A ) @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).

thf(138,axiom,
    ! [A: $i] :
      ( ~ ( ord @ ( order_Union_sk1 @ A ) )
      | ( ord @ ( union @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

thf(474,plain,
    ! [A: $i] :
      ( ~ ( ord @ ( order_Union_sk1 @ A ) )
      | ( ord @ ( union @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).

thf(105,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( sigma @ B @ C ) )
      | ( A
        = ( pair @ ( sigmaE_sk1x @ B @ C @ A ) @ ( sigmaE_sk1y @ B @ C @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

thf(400,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( sigma @ B @ C ) )
      | ( A
        = ( pair @ ( sigmaE_sk1x @ B @ C @ A ) @ ( sigmaE_sk1y @ B @ C @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).

thf(111,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( diff @ B @ C ) )
      | ( member @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

thf(415,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( diff @ B @ C ) )
      | ( member @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).

thf(132,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( id @ B ) )
      | ( A
        = ( pair @ ( idE_sk1 @ A @ B ) @ ( idE_sk1 @ A @ B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

thf(459,plain,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( id @ B ) )
      | ( A
        = ( pair @ ( idE_sk1 @ A @ B ) @ ( idE_sk1 @ A @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).

thf(47,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ ( pair @ A @ C ) @ F ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

thf(277,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ ( pair @ A @ C ) @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(124,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( fin @ B ) )
      | ( member @ ( int @ C @ A ) @ ( fin @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).

thf(442,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( fin @ B ) )
      | ( member @ ( int @ C @ A ) @ ( fin @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).

thf(90,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( inl @ A ) @ ( inr @ B ) ) @ ( radd @ C @ D @ E @ F ) )
      | ( member @ B @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

thf(369,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( inl @ A ) @ ( inr @ B ) ) @ ( radd @ C @ D @ E @ F ) )
      | ( member @ B @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).

thf(36,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( int @ B @ C ) )
      | ( member @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

thf(254,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( member @ A @ ( int @ B @ C ) )
      | ( member @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(144,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( inr @ A ) @ ( inr @ B ) ) @ ( radd @ C @ D @ E @ F ) )
      | ( member @ A @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

thf(486,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ ( inr @ A ) @ ( inr @ B ) ) @ ( radd @ C @ D @ E @ F ) )
      | ( member @ A @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).

thf(136,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ D @ G ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

thf(469,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ D @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).

thf(83,axiom,
    ! [A: $i] : ( subset @ eptset @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

thf(354,plain,
    ! [A: $i] : ( subset @ eptset @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).

thf(146,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( cons @ B @ eptset ) )
      | ( A = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

thf(491,plain,
    ! [B: $i,A: $i] :
      ( ~ ( member @ A @ ( cons @ B @ eptset ) )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).

thf(29,axiom,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( ( inl @ A )
        = ( inl @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

thf(232,plain,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( ( inl @ A )
        = ( inl @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(148,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c2 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ ( pair @ B @ D ) @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

thf(496,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rmultE_c2 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( member @ ( pair @ B @ D ) @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).

thf(130,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ C )
      | ~ ( member @ A @ D )
      | ( member @ B @ ( image @ C @ D ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

thf(454,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( member @ ( pair @ A @ B ) @ C )
      | ~ ( member @ A @ D )
      | ( member @ B @ ( image @ C @ D ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).

thf(507,plain,
    $false,
    inference(cvc4,[status(thm)],[352,408,308,379,440,269,385,340,153,185,417,436,184,344,357,196,189,421,284,325,289,448,316,261,216,321,348,480,293,396,411,428,265,312,452,248,201,381,220,334,302,392,424,467,484,252,361,456,403,388,169,488,193,476,212,328,471,256,173,371,244,398,430,166,279,444,375,180,296,286,281,259,413,498,236,159,274,419,377,230,318,434,271,494,367,323,240,155,462,223,226,267,394,306,426,162,209,342,355,295,282,150,327,263,199,331,338,359,177,182,336,314,446,450,363,250,465,482,203,304,351,390,290,207,478,383,346,151,300,432,405,422,273,373,474,400,415,459,277,442,369,254,486,469,354,491,232,496,454]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET787-2 : TPTP v8.2.0. Released v2.7.0.
% 0.13/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n021.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Mon May 20 12:39:09 EDT 2024
% 0.16/0.38  % CPUTime  : 
% 1.01/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.36/1.05  % [INFO] 	 Parsing done (158ms). 
% 1.36/1.06  % [INFO] 	 Running in sequential loop mode. 
% 1.81/1.29  % [INFO] 	 eprover registered as external prover. 
% 1.81/1.30  % [INFO] 	 cvc4 registered as external prover. 
% 1.81/1.30  % [INFO] 	 Scanning for conjecture ... 
% 2.07/1.38  % [INFO] 	 Found a conjecture (or negated_conjecture) and 147 axioms. Running axiom selection ... 
% 2.07/1.45  % [INFO] 	 Axiom selection finished. Selected 147 axioms (removed 0 axioms). 
% 2.58/1.52  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.58/1.53  % [INFO] 	 Type checking passed. 
% 2.58/1.53  % [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 ... 
% 5.31/2.45  % External prover 'cvc4' found a proof!
% 5.31/2.45  % [INFO] 	 Killing All external provers ... 
% 5.31/2.45  % Time passed: 1905ms (effective reasoning time: 1386ms)
% 5.31/2.45  % Axioms used in derivation (147): clause147, clause140, clause144, clause57, clause82, clause60, clause65, clause128, clause71, clause113, clause43, clause139, clause3, clause29, clause32, clause18, clause54, clause117, clause88, clause59, clause48, clause37, converseD, clause108, clause77, clause135, clause129, clause81, clause55, clause154, clause66, unI2, clause118, clause17, clause70, clause22, clause124, clause157, clause84, clause7, clause25, clause11, clause14, converseE_1, clause87, clause112, clause76, clause130, clause49, converseE_2, clause13, clause31, clause24, clause132, clause121, clause42, clause109, clause2, clause158, clause141, clause143, clause64, clause38, clause16, clause28, unI1, clause53, clause152, clause155, clause136, clause12, clause111, clause79, clause75, clause23, clause125, clause114, clause86, clause6, clause133, clause122, clause1, clause151, clause34, clause5, clause69, clause68, clause148, clause134, clause27, clause110, clause41, clause39, clause137, clause35, clause30, clause145, clause20, clause52, clause46, clause156, clause90, clause126, clause115, clause63, clause89, clause44, clause50, clause150, clause72, clause33, clause73, clause83, clause107, clause19, clause78, subsetD, clause123, clause116, clause4, clause26, clause149, clause58, clause142, clause131, clause120, clause80, clause56, clause10, clause67, clause138, clause21, clause127, clause119, clause15, clause153, clause45, clause40, clause85, clause91, clause51, clause106, clause61, clause62, clause74, clause47, clause36
% 5.31/2.45  % No. of inferences in proof: 299
% 5.31/2.45  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1905 ms resp. 1386 ms w/o parsing
% 6.01/2.52  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.01/2.52  % [INFO] 	 Killing All external provers ... 
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