%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT146+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EuTwkBpgGW true
% Computer : n028.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 : Thu Oct 2 04:50:52 PM UTC 2025
% Result : Theorem 0.58s 1.03s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 1436 ( 23 ~; 12 |; 0 &;1386 @)
% ( 5 <=>; 0 =>; 10 <=; 0 <~>)
% Maximal formula depth : 23 ( 19 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 11 ( 0 ^; 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_b_____type,type,
v_b____: $i ).
thf(v_a_____type,type,
v_a____: $i ).
thf(c_Arrow__Order__Mirabelle_Obelow_type,type,
c_Arrow__Order__Mirabelle_Obelow: $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(v_P_____type,type,
v_P____: $i ).
thf(sk__99_type,type,
sk__99: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_member_type,type,
c_member: $i > $i ).
thf(tc_Arrow__Order__Mirabelle_Oalt_type,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
thf(tc_prod_type,type,
tc_prod: $i > $i > $i ).
thf(v_c_____type,type,
v_c____: $i ).
thf(c_Product__Type_OPair_type,type,
c_Product__Type_OPair: $i > $i > $i ).
thf(conj_0,conjecture,
! [B_i: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ B_i ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) )
<=> ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ B_i ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B_i: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ B_i ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) )
<=> ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ B_i ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl849,plain,
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ sk__99 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ sk__99 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl849]) ).
thf(fact__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_J_Aa_Ac_092_060_094esub_062_Aa_J_096,axiom,
! [B_i: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_c____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ B_i ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) )
<=> ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ B_i ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ X0 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_c____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ X0 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) ) ),
inference(cnf,[status(esa)],[fact__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_J_Aa_Ac_092_060_094esub_062_Aa_J_096]) ).
thf(zip_derived_cl864,plain,
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) )
<= ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl849]) ).
thf(zip_derived_cl905,plain,
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_c____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) )
<= ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl864]) ).
thf(fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_096,axiom,
! [B_i: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_c____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ B_i ) ) @ v_c____ ) @ v_b____ ) ) )
<=> ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_c____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ B_i ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_c____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ X0 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_c____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ X0 ) ) @ v_c____ ) @ v_b____ ) ) ) ),
inference(cnf,[status(esa)],[fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_096]) ).
thf(zip_derived_cl908,plain,
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_c____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) )
<= ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl905,zip_derived_cl6]) ).
thf(fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_A_061_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_096,axiom,
! [B_i: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ B_i ) ) )
<=> ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_c____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ B_i ) ) @ v_c____ ) @ v_b____ ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_c____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ X0 ) ) @ v_c____ ) @ v_b____ ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ X0 ) ) ) ),
inference(cnf,[status(esa)],[fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_A_061_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_096]) ).
thf(zip_derived_cl910,plain,
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ sk__99 ) ) )
<= ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl908,zip_derived_cl4]) ).
thf(zip_derived_cl848,plain,
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ sk__99 ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl863,plain,
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ sk__99 ) ) )
<= ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ sk__99 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl848]) ).
thf('1',plain,
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ sk__99 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl910,zip_derived_cl863]) ).
thf('2',plain,
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ sk__99 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl848]) ).
thf(zip_derived_cl862,plain,
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) )
<= ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl848]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_c____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ X0 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ X0 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) ) ),
inference(cnf,[status(esa)],[fact__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_J_Aa_Ac_092_060_094esub_062_Aa_J_096]) ).
thf(zip_derived_cl916,plain,
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_c____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) )
<= ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl862,zip_derived_cl9]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_c____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ X0 ) ) @ v_c____ ) @ v_b____ ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_c____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ X0 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) ) ),
inference(cnf,[status(esa)],[fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_096]) ).
thf(zip_derived_cl918,plain,
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_c____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) )
<= ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl916,zip_derived_cl7]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ X0 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_c____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ X0 ) ) @ v_c____ ) @ v_b____ ) ) ) ),
inference(cnf,[status(esa)],[fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_A_061_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_096]) ).
thf(zip_derived_cl921,plain,
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ sk__99 ) ) )
<= ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl918,zip_derived_cl5]) ).
thf(zip_derived_cl865,plain,
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ sk__99 ) ) )
<= ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ sk__99 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl849]) ).
thf('3',plain,
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_a____ ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ ( hAPP @ v_P____ @ sk__99 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ sk__99 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl921,zip_derived_cl865]) ).
thf(zip_derived_cl928,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT146+1 : TPTP v9.2.0. Released v5.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EuTwkBpgGW true
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 15:15:53 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in FO mode
% 0.57/0.65 % Total configuration time : 435
% 0.57/0.65 % Estimated wc time : 1092
% 0.57/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/1.03 % Solved by fo/fo1_av.sh.
% 0.58/1.03 % done 101 iterations in 0.249s
% 0.58/1.03 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/1.03 % SZS output start Refutation
% See solution above
% 0.58/1.03
% 0.58/1.03
% 0.58/1.03 % Terminating...
% 0.58/1.06 % Runner terminated.
% 1.75/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------