%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT147+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.G1B2lCeqft true
% Computer : n026.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 0.57s 0.92s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 66 ( 12 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 963 ( 23 ~; 20 |; 3 &; 905 @)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 15 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 11 con; 0-3 aty)
% Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_b_____type,type,
v_b____: $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(v_a_____type,type,
v_a____: $i ).
thf(v_P_H_____type,type,
v_P_H____: $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(c_Arrow__Order__Mirabelle_Obelow_type,type,
c_Arrow__Order__Mirabelle_Obelow: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(c_member_type,type,
c_member: $i > $i ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(tc_HOL_Obool_type,type,
tc_HOL_Obool: $i ).
thf(v_c_____type,type,
v_c____: $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(c_Arrow__Order__Mirabelle_OLin_type,type,
c_Arrow__Order__Mirabelle_OLin: $i ).
thf(v_P_____type,type,
v_P____: $i ).
thf(c_Product__Type_OPair_type,type,
c_Product__Type_OPair: $i > $i > $i ).
thf(fact__096ALL_Ai_O_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_A_061_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_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_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(zip_derived_cl3,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_a____ ) @ v_b____ ) ) @ ( hAPP @ v_P____ @ X0 ) ) ) ),
inference(cnf,[status(esa)],[fact__096ALL_Ai_O_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_A_061_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_096]) ).
thf(fact_iff,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_b____ ) @ v_a____ ) ) @ ( hAPP @ v_P_H____ @ B_i ) ) ) ) ).
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_b____ ) @ v_a____ ) ) @ ( hAPP @ v_P_H____ @ 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_b____ ) ) @ ( hAPP @ v_P____ @ X0 ) ) ) ),
inference(cnf,[status(esa)],[fact_iff]) ).
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_b____ ) @ v_a____ ) ) @ ( hAPP @ v_P_H____ @ 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_b____ ) @ v_a____ ) ) @ ( hAPP @ v_P_H____ @ B_i ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl62,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 @ v_P_H____ @ sk__4 ) ) )
| ~ ( 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__4 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl188,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__4 ) ) )
| ~ ( 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__4 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl62]) ).
thf(zip_derived_cl2,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_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_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_J_Aa_Ac_092_060_094esub_062_Aa_J_A_061_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_096]) ).
thf(zip_derived_cl237,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__4 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl188,zip_derived_cl2]) ).
thf(zip_derived_cl239,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__4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl237]) ).
thf(fact_in__below,axiom,
! [V_y_2: $i,V_x_2: $i,V_L_2: $i,V_ba_2: $i,V_aa_2: $i] :
( ( V_aa_2 != V_ba_2 )
=> ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ V_L_2 ) @ c_Arrow__Order__Mirabelle_OLin ) )
=> ( ( 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_x_2 ) @ V_y_2 ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ c_Arrow__Order__Mirabelle_Obelow @ V_L_2 ) @ V_aa_2 ) @ V_ba_2 ) ) )
<=> ( ( ( V_y_2 != V_aa_2 )
=> ( ( ( V_x_2 != V_aa_2 )
=> ( 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_x_2 ) @ V_y_2 ) ) @ V_L_2 ) ) )
& ( ( V_x_2 = V_aa_2 )
=> ( ( 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_ba_2 ) @ V_y_2 ) ) @ V_L_2 ) )
| ( V_y_2 = V_ba_2 ) ) ) ) )
& ( ( V_y_2 = V_aa_2 )
=> ( 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_x_2 ) @ V_ba_2 ) ) @ V_L_2 ) ) )
& ( V_x_2 != V_y_2 ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [V_ba_2: $i,V_L_2: $i,V_y_2: $i] :
( ( zip_tseitin_3 @ V_ba_2 @ V_L_2 @ V_y_2 )
<=> ( ( V_y_2 = V_ba_2 )
| ( 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_ba_2 ) @ V_y_2 ) ) @ V_L_2 ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 )
| ~ ( 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 ) @ X0 ) @ X2 ) ) @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl61,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 @ v_P_H____ @ sk__4 ) ) )
| ( 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__4 ) ) @ v_c____ ) @ v_b____ ) ) @ v_b____ ) @ v_a____ ) ) @ v_a____ ) @ v_c____ ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_001,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_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_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_J_Aa_Ac_092_060_094esub_062_Aa_J_A_061_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_096]) ).
thf(zip_derived_cl71,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 @ v_P_H____ @ sk__4 ) ) )
| ( 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__4 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl2]) ).
thf(zip_derived_cl148,plain,
( ( zip_tseitin_3 @ v_b____ @ ( hAPP @ v_P_H____ @ sk__4 ) @ 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_b____ ) ) @ ( hAPP @ v_P____ @ sk__4 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl47,zip_derived_cl71]) ).
thf(zip_derived_cl4_002,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 @ v_P_H____ @ 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_b____ ) ) @ ( hAPP @ v_P____ @ X0 ) ) ) ),
inference(cnf,[status(esa)],[fact_iff]) ).
thf(zip_derived_cl47_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 )
| ~ ( 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 ) @ X0 ) @ X2 ) ) @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl185,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 ) ) )
| ( zip_tseitin_3 @ v_b____ @ ( hAPP @ v_P_H____ @ X0 ) @ v_a____ ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl47]) ).
thf(zip_derived_cl227,plain,
( ( zip_tseitin_3 @ v_b____ @ ( hAPP @ v_P_H____ @ sk__4 ) @ v_a____ )
| ( zip_tseitin_3 @ v_b____ @ ( hAPP @ v_P_H____ @ sk__4 ) @ v_a____ ) ),
inference('sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl185]) ).
thf(zip_derived_cl228,plain,
zip_tseitin_3 @ v_b____ @ ( hAPP @ v_P_H____ @ sk__4 ) @ v_a____,
inference(simplify,[status(thm)],[zip_derived_cl227]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $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 ) @ X0 ) @ X1 ) ) @ X2 ) )
| ( X1 = X0 )
| ~ ( zip_tseitin_3 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl235,plain,
( ( v_a____ = 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 @ v_P_H____ @ sk__4 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl228,zip_derived_cl45]) ).
thf(fact__096a_A_126_061_Ab_096,axiom,
v_a____ != v_b____ ).
thf(zip_derived_cl1,plain,
v_a____ != v_b____,
inference(cnf,[status(esa)],[fact__096a_A_126_061_Ab_096]) ).
thf(zip_derived_cl236,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 @ v_P_H____ @ sk__4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl235,zip_derived_cl1]) ).
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_b____ ) @ v_a____ ) ) @ ( hAPP @ v_P_H____ @ X0 ) ) ) ),
inference(cnf,[status(esa)],[fact_iff]) ).
thf(zip_derived_cl262,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__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl236,zip_derived_cl5]) ).
thf(zip_derived_cl336,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl239,zip_derived_cl262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT147+1 : TPTP v9.2.0. Released v5.2.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.G1B2lCeqft true
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 15:14:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.92 % Solved by fo/fo4.sh.
% 0.57/0.92 % done 114 iterations in 0.133s
% 0.57/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.92 % SZS output start Refutation
% See solution above
% 0.57/0.92
% 0.57/0.92
% 0.57/0.92 % Terminating...
% 0.58/0.96 % Runner terminated.
% 0.58/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------