%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP004_1 : TPTP v9.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gVwOKsxf3r true
% Computer : n009.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 04:38:09 PM UTC 2025
% Result : Theorem 277.07s 40.21s
% Output : Refutation 277.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 51 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 79 ( 27 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 893 ( 16 ~; 21 |; 1 &; 849 @)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 7 con; 0-3 aty)
% Number of variables : 79 ( 0 ^; 78 !; 1 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
thf(mono_2Etyop_2Emin_2Ebool_type,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
thf(du_type,type,
du: $tType ).
thf(d_type,type,
d: $tType ).
thf(u_type,type,
u: $tType ).
thf(c_2Ebool_2E_3F_2E1_type,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(j_mono_2Etyop_2Emin_2Ebool_type,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
thf(c_2Epred__set_2EREST_2E1_type,type,
c_2Epred__set_2EREST_2E1: du > u ).
thf(s_type,type,
s: d > u > du ).
thf(sk__4_type,type,
sk__4: d ).
thf(mono_2Ec_2Ebool_2ET_2E0_type,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
thf(mono_2Ec_2Ebool_2EF_2E0_type,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
thf(sk__2_type,type,
sk__2: u > d > u ).
thf(tyop_2Emin_2Ebool_type,type,
tyop_2Emin_2Ebool: d ).
thf(app_2E2_type,type,
app_2E2: du > du > u ).
thf(sk__3_type,type,
sk__3: u > u > d > u ).
thf(tyop_2Emin_2Efun_type,type,
tyop_2Emin_2Efun: d > d > d ).
thf(c_2Ebool_2EIN_2E2_type,type,
c_2Ebool_2EIN_2E2: du > du > u ).
thf(sk__5_type,type,
sk__5: u ).
thf(p_type,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
thf(c_2Epred__set_2ESUBSET_2E2_type,type,
c_2Epred__set_2ESUBSET_2E2: du > du > u ).
thf(c_2Epred__set_2EDELETE_2E2_type,type,
c_2Epred__set_2EDELETE_2E2: du > du > u ).
thf(c_2Epred__set_2ECHOICE_2E1_type,type,
c_2Epred__set_2ECHOICE_2E1: du > u ).
thf(i_mono_2Etyop_2Emin_2Ebool_type,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
thf(combin_k_2E0_type,type,
combin_k_2E0: u ).
thf(reserved_2Eho_2Ebool__cases__ax,axiom,
! [V0t_2E0: mono_2Etyop_2Emin_2Ebool] :
( ( V0t_2E0 = mono_2Ec_2Ebool_2EF_2E0 )
| ( V0t_2E0 = mono_2Ec_2Ebool_2ET_2E0 ) ) ).
thf(zip_derived_cl5,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( X0 = mono_2Ec_2Ebool_2EF_2E0 )
| ( X0 = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cnf,[status(esa)],[reserved_2Eho_2Ebool__cases__ax]) ).
thf(thm_2Epred__set_2EREST__SUBSET,conjecture,
! [A_27a: d,V0s_2E0: u] : ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A_27a: d,V0s_2E0: u] : ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[thm_2Epred__set_2EREST__SUBSET]) ).
thf(zip_derived_cl61,plain,
~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__4 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ sk__4 @ tyop_2Emin_2Ebool ) @ sk__5 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sk__4 @ tyop_2Emin_2Ebool ) @ sk__5 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl232,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__4 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ sk__4 @ tyop_2Emin_2Ebool ) @ sk__5 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sk__4 @ tyop_2Emin_2Ebool ) @ sk__5 ) ) ) )
= mono_2Ec_2Ebool_2EF_2E0 )
| ~ ( p @ mono_2Ec_2Ebool_2ET_2E0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl61]) ).
thf(reserved_2Eho_2Etruth,axiom,
p @ mono_2Ec_2Ebool_2ET_2E0 ).
thf(zip_derived_cl3,plain,
p @ mono_2Ec_2Ebool_2ET_2E0,
inference(cnf,[status(esa)],[reserved_2Eho_2Etruth]) ).
thf(zip_derived_cl240,plain,
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__4 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ sk__4 @ tyop_2Emin_2Ebool ) @ sk__5 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sk__4 @ tyop_2Emin_2Ebool ) @ sk__5 ) ) ) )
= mono_2Ec_2Ebool_2EF_2E0 ),
inference(demod,[status(thm)],[zip_derived_cl232,zip_derived_cl3]) ).
thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0_2E0: u] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
thf(zip_derived_cl26,plain,
! [X0: u] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ X0 ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ X0 ) ),
inference(cnf,[status(esa)],[ij_2Emono_2Etyop_2Emin_2Ebool]) ).
thf(zip_derived_cl439,plain,
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF_2E0 ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__4 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ sk__4 @ tyop_2Emin_2Ebool ) @ sk__5 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sk__4 @ tyop_2Emin_2Ebool ) @ sk__5 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl240,zip_derived_cl26]) ).
thf(reserved_2Eho_2Eboolext,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Emin_2Ebool] :
( ( ( p @ V0_2E0 )
<=> ( p @ V1_2E0 ) )
=> ( V0_2E0 = V1_2E0 ) ) ).
thf(zip_derived_cl2,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( X1 = X0 )
| ( p @ X0 )
| ( p @ X1 ) ),
inference(cnf,[status(esa)],[reserved_2Eho_2Eboolext]) ).
thf(zip_derived_cl439_001,plain,
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF_2E0 ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__4 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ sk__4 @ tyop_2Emin_2Ebool ) @ sk__5 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sk__4 @ tyop_2Emin_2Ebool ) @ sk__5 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl240,zip_derived_cl26]) ).
thf(reserved_2Eho_2Ek__thm,axiom,
! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) ) @ combin_k_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) ) @ ( s @ A_27b @ V1y_2E0 ) ) )
= ( s @ A_27a @ V0x_2E0 ) ) ).
thf(zip_derived_cl7,plain,
! [X0: d,X1: u,X2: d,X3: u] :
( ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X2 @ X0 ) ) @ combin_k_2E0 ) @ ( s @ X0 @ X1 ) ) ) @ ( s @ X2 @ X3 ) ) )
= ( s @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[reserved_2Eho_2Ek__thm]) ).
thf(reserved_2Equant_2E_3F,axiom,
! [A_27a: d,V0f_2E0: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) ) )
<=> ? [V1x_2E0: u] : ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: d,X1: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ X0 @ ( sk__2 @ X1 @ X0 ) ) ) ) ) )
| ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[reserved_2Equant_2E_3F]) ).
thf(zip_derived_cl877,plain,
! [X0: u,X1: d] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ X0 ) ) )
| ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ combin_k_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0 ) ) ) ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl24]) ).
thf(zip_derived_cl5904,plain,
! [X0: d] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF_2E0 ) ) ) )
| ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ combin_k_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF_2E0 ) ) ) ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl877]) ).
thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Ebool] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0_2E0 ) ) )
= V0_2E0 ) ).
thf(zip_derived_cl29,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) )
= X0 ),
inference(cnf,[status(esa)],[ji_2Emono_2Etyop_2Emin_2Ebool]) ).
thf(reserved_2Eho_2Enotfalse,axiom,
~ ( p @ mono_2Ec_2Ebool_2EF_2E0 ) ).
thf(zip_derived_cl4,plain,
~ ( p @ mono_2Ec_2Ebool_2EF_2E0 ),
inference(cnf,[status(esa)],[reserved_2Eho_2Enotfalse]) ).
thf(zip_derived_cl5932,plain,
! [X0: d] :
~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ combin_k_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF_2E0 ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5904,zip_derived_cl29,zip_derived_cl4]) ).
thf(zip_derived_cl5941,plain,
! [X0: d,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p @ X1 )
| ( X1
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ combin_k_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF_2E0 ) ) ) ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl5932]) ).
thf(thm_2Epred__set_2ESUBSET__DEF,axiom,
! [A_27a: d,V0s_2E0: u,V1t_2E0: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1t_2E0 ) ) ) ) )
<=> ! [V2x_2E0: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) ) ) )
=> ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1t_2E0 ) ) ) ) ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: d,X1: u,X2: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) ) )
| ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X0 @ ( sk__3 @ X2 @ X1 @ X0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[thm_2Epred__set_2ESUBSET__DEF]) ).
thf(zip_derived_cl6031,plain,
! [X0: u,X1: d,X2: u,X3: d] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ ( sk__3 @ X0 @ X2 @ X1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ combin_k_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF_2E0 ) ) ) ) ) ) ) )
| ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5941,zip_derived_cl55]) ).
thf(zip_derived_cl5_002,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( X0 = mono_2Ec_2Ebool_2EF_2E0 )
| ( X0 = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cnf,[status(esa)],[reserved_2Eho_2Ebool__cases__ax]) ).
thf(zip_derived_cl3_003,plain,
p @ mono_2Ec_2Ebool_2ET_2E0,
inference(cnf,[status(esa)],[reserved_2Eho_2Etruth]) ).
thf(zip_derived_cl227,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( X0 = mono_2Ec_2Ebool_2EF_2E0 )
| ( p @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl3]) ).
thf(zip_derived_cl5932_004,plain,
! [X0: d] :
~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ combin_k_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF_2E0 ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5904,zip_derived_cl29,zip_derived_cl4]) ).
thf(zip_derived_cl5942,plain,
! [X0: d] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ combin_k_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF_2E0 ) ) ) ) ) ) )
= mono_2Ec_2Ebool_2EF_2E0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl227,zip_derived_cl5932]) ).
thf(zip_derived_cl10246,plain,
! [X0: u,X1: d,X2: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ ( sk__3 @ X0 @ X2 @ X1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
= mono_2Ec_2Ebool_2EF_2E0 )
| ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6031,zip_derived_cl5942]) ).
thf(zip_derived_cl56,plain,
! [X0: d,X1: u,X2: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) ) )
| ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X0 @ ( sk__3 @ X2 @ X1 @ X0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[thm_2Epred__set_2ESUBSET__DEF]) ).
thf(thm_2Epred__set_2EREST__DEF,axiom,
! [A_27a: d,V0s_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) @ ( s @ A_27a @ ( c_2Epred__set_2ECHOICE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) ) ) ) ) ).
thf(zip_derived_cl60,plain,
! [X0: d,X1: u] :
( ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ X0 @ ( c_2Epred__set_2ECHOICE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[thm_2Epred__set_2EREST__DEF]) ).
thf(thm_2Epred__set_2EIN__DELETE,axiom,
! [A_27a: d,V0s_2E0: u,V1x_2E0: u,V2y_2E0: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) ) ) ) )
<=> ( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) ) ) )
& ( ( s @ A_27a @ V1x_2E0 )
!= ( s @ A_27a @ V2y_2E0 ) ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: d,X1: u,X2: u,X3: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X0 @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) ) )
| ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X0 @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ X0 @ X3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[thm_2Epred__set_2EIN__DELETE]) ).
thf(zip_derived_cl3003,plain,
! [X0: u,X1: d,X2: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) )
| ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl57]) ).
thf(zip_derived_cl30974,plain,
! [X0: u,X1: d,X2: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) ) )
| ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ ( sk__3 @ X2 @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) @ X1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl3003]) ).
thf(zip_derived_cl163870,plain,
! [X0: u,X1: d] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) )
| ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) )
| ( p @ mono_2Ec_2Ebool_2EF_2E0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10246,zip_derived_cl30974]) ).
thf(zip_derived_cl4_005,plain,
~ ( p @ mono_2Ec_2Ebool_2EF_2E0 ),
inference(cnf,[status(esa)],[reserved_2Eho_2Enotfalse]) ).
thf(zip_derived_cl164060,plain,
! [X0: u,X1: d] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) )
| ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl163870,zip_derived_cl4]) ).
thf(zip_derived_cl164061,plain,
! [X0: u,X1: d] : ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl164060]) ).
thf(zip_derived_cl164512,plain,
p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF_2E0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl439,zip_derived_cl164061]) ).
thf(zip_derived_cl29_006,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) )
= X0 ),
inference(cnf,[status(esa)],[ji_2Emono_2Etyop_2Emin_2Ebool]) ).
thf(zip_derived_cl4_007,plain,
~ ( p @ mono_2Ec_2Ebool_2EF_2E0 ),
inference(cnf,[status(esa)],[reserved_2Eho_2Enotfalse]) ).
thf(zip_derived_cl164730,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl164512,zip_derived_cl29,zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ITP004_1 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.11/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gVwOKsxf3r true
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Oct 1 15:29:53 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.56/0.67 % Total configuration time : 435
% 0.56/0.67 % Estimated wc time : 1092
% 0.56/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 277.07/40.21 % Solved by fo/fo6_bce.sh.
% 277.07/40.21 % BCE start: 62
% 277.07/40.21 % BCE eliminated: 0
% 277.07/40.21 % PE start: 62
% 277.07/40.21 logic: eq
% 277.07/40.21 % PE eliminated: 0
% 277.07/40.21 % done 3339 iterations in 39.450s
% 277.07/40.21 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 277.07/40.21 % SZS output start Refutation
% See solution above
% 277.07/40.21
% 277.07/40.21
% 277.07/40.21 % Terminating...
% 277.65/40.29 % Runner terminated.
% 277.65/40.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------