%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP003_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.olpibdy8mr true
% Computer : n007.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 04:38:08 PM UTC 2025
% Result : Theorem 177.99s 25.89s
% Output : Refutation 177.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 22
% Syntax : Number of formulae : 104 ( 69 unt; 0 typ; 0 def)
% Number of atoms : 155 ( 112 equ; 0 cnn)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 714 ( 46 ~; 36 |; 5 &; 617 @)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 29 usr; 10 con; 0-3 aty)
% Number of variables : 124 ( 0 ^; 121 !; 3 ?; 124 :)
% Comments :
%------------------------------------------------------------------------------
thf(mono_2Etyop_2Emin_2Ebool_type,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
thf(mono_2Etyop_2Enum_2Enum_type,type,
mono_2Etyop_2Enum_2Enum: $tType ).
thf(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_type,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: $tType ).
thf(du_type,type,
du: $tType ).
thf(d_type,type,
d: $tType ).
thf(u_type,type,
u: $tType ).
thf(tyop_2Emin_2Ebool_type,type,
tyop_2Emin_2Ebool: d ).
thf(mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum_type,type,
mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Ebool_2ET_2E0_type,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
thf(sk__3_type,type,
sk__3: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(sk__4_type,type,
sk__4: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2EBIT1_2E0_type,type,
mono_2Ec_2Earithmetic_2EBIT1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).
thf(i_mono_2Etyop_2Enum_2Enum_type,type,
i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
thf(s_type,type,
s: d > u > du ).
thf(tyop_2Enum_2Enum_type,type,
tyop_2Enum_2Enum: d ).
thf(p_type,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
thf(mono_2Ec_2Enum_2ESUC_2E1_type,type,
mono_2Ec_2Enum_2ESUC_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2EMOD_2E2_type,type,
mono_2Ec_2Earithmetic_2EMOD_2E2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(i_mono_2Etyop_2Emin_2Ebool_type,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
thf(mono_2Ec_2Eprim__rec_2E_3C_2E2_type,type,
mono_2Ec_2Eprim__rec_2E_3C_2E2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Emin_2Ebool ).
thf(mono_2Ec_2Earithmetic_2EBIT2_2E0_type,type,
mono_2Ec_2Earithmetic_2EBIT2_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Earithmetic_2EZERO_2E0_type,type,
mono_2Ec_2Earithmetic_2EZERO_2E0: mono_2Etyop_2Enum_2Enum ).
thf(sk__26_type,type,
sk__26: mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2EODD_2E1_type,type,
mono_2Ec_2Earithmetic_2EODD_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Emin_2Ebool ).
thf(mono_2Ec_2Ebool_2EF_2E0_type,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
thf(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum_type,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2EEVEN_2E1_type,type,
mono_2Ec_2Earithmetic_2EEVEN_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Emin_2Ebool ).
thf(mono_2Ec_2Earithmetic_2E_2B_2E2_type,type,
mono_2Ec_2Earithmetic_2E_2B_2E2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2EBIT2_2E1_type,type,
mono_2Ec_2Earithmetic_2EBIT2_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(c_2Ebool_2ECOND_2E3_type,type,
c_2Ebool_2ECOND_2E3: du > du > du > u ).
thf(mono_2Ec_2Earithmetic_2E_2A_2E2_type,type,
mono_2Ec_2Earithmetic_2E_2A_2E2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Enum_2E0_2E0_type,type,
mono_2Ec_2Enum_2E0_2E0: mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2ENUMERAL_2E1_type,type,
mono_2Ec_2Earithmetic_2ENUMERAL_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2EBIT1_2E1_type,type,
mono_2Ec_2Earithmetic_2EBIT1_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Enum_2Enum_type,type,
j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
thf(thm_2Earithmetic_2EEVEN__ODD,axiom,
! [V0n_2E0: mono_2Etyop_2Enum_2Enum] :
( ( p @ ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ V0n_2E0 ) )
<=> ~ ( p @ ( mono_2Ec_2Earithmetic_2EODD_2E1 @ V0n_2E0 ) ) ) ).
thf(zip_derived_cl95,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( p @ ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ X0 ) )
| ( p @ ( mono_2Ec_2Earithmetic_2EODD_2E1 @ X0 ) ) ),
inference(cnf,[status(esa)],[thm_2Earithmetic_2EEVEN__ODD]) ).
thf(thm_2Earithmetic_2EMULT__COMM,axiom,
! [V0m_2E0: mono_2Etyop_2Enum_2Enum,V1n_2E0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ V0m_2E0 @ V1n_2E0 )
= ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ V1n_2E0 @ V0m_2E0 ) ) ).
thf(zip_derived_cl93,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ X1 @ X0 )
= ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[thm_2Earithmetic_2EMULT__COMM]) ).
thf(thm_2Earithmetic_2EODD__EXISTS,axiom,
! [V0n_2E0: mono_2Etyop_2Enum_2Enum] :
( ( p @ ( mono_2Ec_2Earithmetic_2EODD_2E1 @ V0n_2E0 ) )
<=> ? [V1m_2E0: mono_2Etyop_2Enum_2Enum] :
( V0n_2E0
= ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT2_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) @ V1m_2E0 ) ) ) ) ).
thf(zip_derived_cl100,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( X0
= ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT2_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) @ ( sk__4 @ X0 ) ) ) )
| ~ ( p @ ( mono_2Ec_2Earithmetic_2EODD_2E1 @ X0 ) ) ),
inference(cnf,[status(esa)],[thm_2Earithmetic_2EODD__EXISTS]) ).
thf(arityeq1_2Ec_2Earithmetic_2EBIT2_2E1,axiom,
! [X0_2E0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EBIT2_2E1 @ X0_2E0 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ X0_2E0 ) ) ).
thf(zip_derived_cl60,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EBIT2_2E1 @ X0 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ X0 ) ),
inference(cnf,[status(esa)],[arityeq1_2Ec_2Earithmetic_2EBIT2_2E1]) ).
thf(zip_derived_cl6354,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( X0
= ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) @ ( sk__4 @ X0 ) ) ) )
| ~ ( p @ ( mono_2Ec_2Earithmetic_2EODD_2E1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl60]) ).
thf(zip_derived_cl6360,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( X0
= ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ ( sk__4 @ X0 ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) ) ) )
| ~ ( p @ ( mono_2Ec_2Earithmetic_2EODD_2E1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl93,zip_derived_cl6354]) ).
thf(thm_2Earithmetic_2ETWO,axiom,
( ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT2_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) )
= ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT1_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) ) ) ).
thf(zip_derived_cl89,plain,
( ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT2_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) )
= ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT1_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) ) ),
inference(cnf,[status(esa)],[thm_2Earithmetic_2ETWO]) ).
thf(thm_2Earithmetic_2EONE,axiom,
( ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT1_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) )
= ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ).
thf(zip_derived_cl88,plain,
( ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT1_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) )
= ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ),
inference(cnf,[status(esa)],[thm_2Earithmetic_2EONE]) ).
thf(zip_derived_cl2966,plain,
( ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT2_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) )
= ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl88]) ).
thf(zip_derived_cl60_001,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EBIT2_2E1 @ X0 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ X0 ) ),
inference(cnf,[status(esa)],[arityeq1_2Ec_2Earithmetic_2EBIT2_2E1]) ).
thf(zip_derived_cl3175,plain,
( ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) )
= ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2966,zip_derived_cl60]) ).
thf(thm_2Eprim__rec_2ELESS__0,axiom,
! [V0n_2E0: mono_2Etyop_2Enum_2Enum] : ( p @ ( mono_2Ec_2Eprim__rec_2E_3C_2E2 @ mono_2Ec_2Enum_2E0_2E0 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ V0n_2E0 ) ) ) ).
thf(zip_derived_cl225,plain,
! [X0: mono_2Etyop_2Enum_2Enum] : ( p @ ( mono_2Ec_2Eprim__rec_2E_3C_2E2 @ mono_2Ec_2Enum_2E0_2E0 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 ) ) ),
inference(cnf,[status(esa)],[thm_2Eprim__rec_2ELESS__0]) ).
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(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_cl1,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_cl2973,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( X0 = mono_2Ec_2Ebool_2ET_2E0 )
| ~ ( p @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl5690,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C_2E2 @ mono_2Ec_2Enum_2E0_2E0 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 ) )
= mono_2Ec_2Ebool_2ET_2E0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl225,zip_derived_cl2973]) ).
thf(thm_2Earithmetic_2ELESS__MONO__EQ,axiom,
! [V0m_2E0: mono_2Etyop_2Enum_2Enum,V1n_2E0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C_2E2 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ V0m_2E0 ) @ ( mono_2Ec_2Enum_2ESUC_2E1 @ V1n_2E0 ) )
= ( mono_2Ec_2Eprim__rec_2E_3C_2E2 @ V0m_2E0 @ V1n_2E0 ) ) ).
thf(zip_derived_cl91,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C_2E2 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 ) @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X1 ) )
= ( mono_2Ec_2Eprim__rec_2E_3C_2E2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[thm_2Earithmetic_2ELESS__MONO__EQ]) ).
thf(thm_2Earithmetic_2EMOD__UNIQUE,axiom,
! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1k_2E0: mono_2Etyop_2Enum_2Enum,V2r_2E0: mono_2Etyop_2Enum_2Enum] :
( ? [V3q_2E0: mono_2Etyop_2Enum_2Enum] :
( ( p @ ( mono_2Ec_2Eprim__rec_2E_3C_2E2 @ V2r_2E0 @ V0n_2E0 ) )
& ( V1k_2E0
= ( mono_2Ec_2Earithmetic_2E_2B_2E2 @ ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ V3q_2E0 @ V0n_2E0 ) @ V2r_2E0 ) ) )
=> ( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ V1k_2E0 @ V0n_2E0 )
= V2r_2E0 ) ) ).
thf(zip_derived_cl102,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum,X3: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ X1 @ X2 )
= X0 )
| ( X1
!= ( mono_2Ec_2Earithmetic_2E_2B_2E2 @ ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ X3 @ X2 ) @ X0 ) )
| ~ ( p @ ( mono_2Ec_2Eprim__rec_2E_3C_2E2 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[thm_2Earithmetic_2EMOD__UNIQUE]) ).
thf(zip_derived_cl6422,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum,X3: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ X2 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 ) )
= ( mono_2Ec_2Enum_2ESUC_2E1 @ X1 ) )
| ( X2
!= ( mono_2Ec_2Earithmetic_2E_2B_2E2 @ ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ X3 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 ) ) @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X1 ) ) )
| ~ ( p @ ( mono_2Ec_2Eprim__rec_2E_3C_2E2 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl102]) ).
thf(zip_derived_cl139745,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ X1 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 ) ) )
= ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) )
| ( X1
!= ( mono_2Ec_2Earithmetic_2E_2B_2E2 @ ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ X2 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 ) ) ) @ ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) )
| ~ ( p @ mono_2Ec_2Ebool_2ET_2E0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5690,zip_derived_cl6422]) ).
thf(thm_2Earithmetic_2EADD1,axiom,
! [V0m_2E0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC_2E1 @ V0m_2E0 )
= ( mono_2Ec_2Earithmetic_2E_2B_2E2 @ V0m_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT1_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) ) ) ).
thf(zip_derived_cl92,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 )
= ( mono_2Ec_2Earithmetic_2E_2B_2E2 @ X0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT1_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) ) ),
inference(cnf,[status(esa)],[thm_2Earithmetic_2EADD1]) ).
thf(arityeq1_2Ec_2Earithmetic_2EBIT1_2E1,axiom,
! [X0_2E0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EBIT1_2E1 @ X0_2E0 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT1_2E0 @ X0_2E0 ) ) ).
thf(zip_derived_cl59,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EBIT1_2E1 @ X0 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT1_2E0 @ X0 ) ),
inference(cnf,[status(esa)],[arityeq1_2Ec_2Earithmetic_2EBIT1_2E1]) ).
thf(zip_derived_cl88_002,plain,
( ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT1_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) )
= ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ),
inference(cnf,[status(esa)],[thm_2Earithmetic_2EONE]) ).
thf(zip_derived_cl59_003,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EBIT1_2E1 @ X0 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT1_2E0 @ X0 ) ),
inference(cnf,[status(esa)],[arityeq1_2Ec_2Earithmetic_2EBIT1_2E1]) ).
thf(zip_derived_cl3139,plain,
( ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT1_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) )
= ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ),
inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl59]) ).
thf(zip_derived_cl3519,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 )
= ( mono_2Ec_2Earithmetic_2E_2B_2E2 @ X0 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl59,zip_derived_cl3139]) ).
thf(zip_derived_cl3_004,plain,
p @ mono_2Ec_2Ebool_2ET_2E0,
inference(cnf,[status(esa)],[reserved_2Eho_2Etruth]) ).
thf(zip_derived_cl139833,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ X1 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 ) ) )
= ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) )
| ( X1
!= ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ X2 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl139745,zip_derived_cl3519,zip_derived_cl3]) ).
thf(zip_derived_cl140689,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ X1 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 ) ) ) ) @ ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 ) ) )
= ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl139833]) ).
thf(zip_derived_cl141267,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ X0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) ) ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) )
= ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3175,zip_derived_cl140689]) ).
thf(zip_derived_cl143868,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ~ ( p @ ( mono_2Ec_2Earithmetic_2EODD_2E1 @ X0 ) )
| ( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ X0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) )
= ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6360,zip_derived_cl141267]) ).
thf(thm_2Earithmetic_2EMOD__2,conjecture,
! [V0n_2E0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ V0n_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT2_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) )
= ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ V0n_2E0 ) @ mono_2Ec_2Enum_2E0_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT1_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [V0n_2E0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ V0n_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT2_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) )
= ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ V0n_2E0 ) @ mono_2Ec_2Enum_2E0_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT1_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) ) ),
inference('cnf.neg',[status(esa)],[thm_2Earithmetic_2EMOD__2]) ).
thf(zip_derived_cl364,plain,
( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ sk__26 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT2_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) )
!= ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ sk__26 ) @ mono_2Ec_2Enum_2E0_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT1_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl88_005,plain,
( ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT1_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) )
= ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ),
inference(cnf,[status(esa)],[thm_2Earithmetic_2EONE]) ).
thf(zip_derived_cl2967,plain,
( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ sk__26 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT2_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) )
!= ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ sk__26 ) @ mono_2Ec_2Enum_2E0_2E0 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl364,zip_derived_cl88]) ).
thf(zip_derived_cl60_006,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EBIT2_2E1 @ X0 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ X0 ) ),
inference(cnf,[status(esa)],[arityeq1_2Ec_2Earithmetic_2EBIT2_2E1]) ).
thf(zip_derived_cl3176,plain,
( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ sk__26 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) )
!= ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ sk__26 ) @ mono_2Ec_2Enum_2E0_2E0 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2967,zip_derived_cl60]) ).
thf(thm_2Earithmetic_2EEVEN__EXISTS,axiom,
! [V0n_2E0: mono_2Etyop_2Enum_2Enum] :
( ( p @ ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ V0n_2E0 ) )
<=> ? [V1m_2E0: mono_2Etyop_2Enum_2Enum] :
( V0n_2E0
= ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT2_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) @ V1m_2E0 ) ) ) ).
thf(zip_derived_cl98,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( X0
= ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Ec_2Earithmetic_2EBIT2_2E1 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) @ ( sk__3 @ X0 ) ) )
| ~ ( p @ ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ X0 ) ) ),
inference(cnf,[status(esa)],[thm_2Earithmetic_2EEVEN__EXISTS]) ).
thf(zip_derived_cl60_007,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EBIT2_2E1 @ X0 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ X0 ) ),
inference(cnf,[status(esa)],[arityeq1_2Ec_2Earithmetic_2EBIT2_2E1]) ).
thf(zip_derived_cl6348,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( X0
= ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) @ ( sk__3 @ X0 ) ) )
| ~ ( p @ ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl60]) ).
thf(zip_derived_cl3175_008,plain,
( ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) )
= ( mono_2Ec_2Enum_2ESUC_2E1 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2966,zip_derived_cl60]) ).
thf(zip_derived_cl93_009,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ X1 @ X0 )
= ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[thm_2Earithmetic_2EMULT__COMM]) ).
thf(zip_derived_cl5690_010,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C_2E2 @ mono_2Ec_2Enum_2E0_2E0 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 ) )
= mono_2Ec_2Ebool_2ET_2E0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl225,zip_derived_cl2973]) ).
thf(zip_derived_cl102_011,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum,X3: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ X1 @ X2 )
= X0 )
| ( X1
!= ( mono_2Ec_2Earithmetic_2E_2B_2E2 @ ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ X3 @ X2 ) @ X0 ) )
| ~ ( p @ ( mono_2Ec_2Eprim__rec_2E_3C_2E2 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[thm_2Earithmetic_2EMOD__UNIQUE]) ).
thf(zip_derived_cl6420,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ X1 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 ) )
= mono_2Ec_2Enum_2E0_2E0 )
| ( X1
!= ( mono_2Ec_2Earithmetic_2E_2B_2E2 @ ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ X2 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 ) ) @ mono_2Ec_2Enum_2E0_2E0 ) )
| ~ ( p @ mono_2Ec_2Ebool_2ET_2E0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5690,zip_derived_cl102]) ).
thf(thm_2Earithmetic_2EADD__0,axiom,
! [V0m_2E0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2B_2E2 @ V0m_2E0 @ mono_2Ec_2Enum_2E0_2E0 )
= V0m_2E0 ) ).
thf(zip_derived_cl90,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2B_2E2 @ X0 @ mono_2Ec_2Enum_2E0_2E0 )
= X0 ),
inference(cnf,[status(esa)],[thm_2Earithmetic_2EADD__0]) ).
thf(zip_derived_cl3_012,plain,
p @ mono_2Ec_2Ebool_2ET_2E0,
inference(cnf,[status(esa)],[reserved_2Eho_2Etruth]) ).
thf(zip_derived_cl6435,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ X1 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 ) )
= mono_2Ec_2Enum_2E0_2E0 )
| ( X1
!= ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ X2 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6420,zip_derived_cl90,zip_derived_cl3]) ).
thf(zip_derived_cl6912,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ X2 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X1 ) )
= mono_2Ec_2Enum_2E0_2E0 )
| ( X2
!= ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ X1 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl6435]) ).
thf(zip_derived_cl6920,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ X1 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) )
= mono_2Ec_2Enum_2E0_2E0 )
| ( X1
!= ( mono_2Ec_2Earithmetic_2E_2A_2E2 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3175,zip_derived_cl6912]) ).
thf(zip_derived_cl11164,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ~ ( p @ ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ X0 ) )
| ( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ X1 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) )
= mono_2Ec_2Enum_2E0_2E0 )
| ( X1 != X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6348,zip_derived_cl6920]) ).
thf(zip_derived_cl11166,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ X0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) )
= mono_2Ec_2Enum_2E0_2E0 )
| ~ ( p @ ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl11164]) ).
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(zip_derived_cl3176_013,plain,
( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ sk__26 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) )
!= ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ sk__26 ) @ mono_2Ec_2Enum_2E0_2E0 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2967,zip_derived_cl60]) ).
thf(zip_derived_cl3179,plain,
( ( ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ sk__26 )
= mono_2Ec_2Ebool_2EF_2E0 )
| ( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ sk__26 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) )
!= ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Ebool_2ET_2E0 @ mono_2Ec_2Enum_2E0_2E0 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl3176]) ).
thf(zip_derived_cl11168,plain,
( ~ ( p @ ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ sk__26 ) )
| ( ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ sk__26 )
= mono_2Ec_2Ebool_2EF_2E0 )
| ( mono_2Ec_2Enum_2E0_2E0
!= ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Ebool_2ET_2E0 @ mono_2Ec_2Enum_2E0_2E0 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11166,zip_derived_cl3179]) ).
thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
! [V0t_2E0: mono_2Etyop_2Emin_2Ebool] :
( ( ( V0t_2E0 = mono_2Ec_2Ebool_2EF_2E0 )
<=> ~ ( p @ V0t_2E0 ) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 = V0t_2E0 )
<=> ~ ( p @ V0t_2E0 ) )
& ( ( V0t_2E0 = mono_2Ec_2Ebool_2ET_2E0 )
<=> ( p @ V0t_2E0 ) )
& ( ( mono_2Ec_2Ebool_2ET_2E0 = V0t_2E0 )
<=> ( p @ V0t_2E0 ) ) ) ).
thf(zip_derived_cl166,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
| ( p @ X0 ) ),
inference(cnf,[status(esa)],[thm_2Ebool_2EEQ__CLAUSES]) ).
thf(zip_derived_cl11176,plain,
( ( mono_2Ec_2Enum_2E0_2E0
!= ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Ebool_2ET_2E0 @ mono_2Ec_2Enum_2E0_2E0 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) )
| ( ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ sk__26 )
= mono_2Ec_2Ebool_2EF_2E0 ) ),
inference(clc,[status(thm)],[zip_derived_cl11168,zip_derived_cl166]) ).
thf(thm_2Ebool_2ECOND__CLAUSES,axiom,
! [A_27a: d,V0t1_2E0: u,V1t2_2E0: u] :
( ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF_2E0 ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
= ( s @ A_27a @ V1t2_2E0 ) )
& ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET_2E0 ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
= ( s @ A_27a @ V0t1_2E0 ) ) ) ).
thf(zip_derived_cl170,plain,
! [X0: d,X1: u,X2: u] :
( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET_2E0 ) ) @ ( s @ X0 @ X1 ) @ ( s @ X0 @ X2 ) ) )
= ( s @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[thm_2Ebool_2ECOND__CLAUSES]) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Enum_2Enum,V2_2E0: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ V0_2E0 @ V1_2E0 @ V2_2E0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0_2E0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1_2E0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V2_2E0 ) ) ) ) ) ).
thf(zip_derived_cl87,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ X0 @ X1 @ X2 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) ),
inference(cnf,[status(esa)],[monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum]) ).
thf(zip_derived_cl6830,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Ebool_2ET_2E0 @ X0 @ X1 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl87]) ).
thf(ji_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0_2E0: mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0_2E0 ) ) )
= V0_2E0 ) ).
thf(zip_derived_cl45,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) )
= X0 ),
inference(cnf,[status(esa)],[ji_2Emono_2Etyop_2Enum_2Enum]) ).
thf(zip_derived_cl49188,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) )
= ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Ebool_2ET_2E0 @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6830,zip_derived_cl45]) ).
thf(zip_derived_cl45_014,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) )
= X0 ),
inference(cnf,[status(esa)],[ji_2Emono_2Etyop_2Enum_2Enum]) ).
thf(zip_derived_cl49231,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( X0
= ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Ebool_2ET_2E0 @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl49188,zip_derived_cl45]) ).
thf(zip_derived_cl49241,plain,
( ( mono_2Ec_2Enum_2E0_2E0 != mono_2Ec_2Enum_2E0_2E0 )
| ( ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ sk__26 )
= mono_2Ec_2Ebool_2EF_2E0 ) ),
inference(demod,[status(thm)],[zip_derived_cl11176,zip_derived_cl49231]) ).
thf(zip_derived_cl49242,plain,
( ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ sk__26 )
= mono_2Ec_2Ebool_2EF_2E0 ),
inference(simplify,[status(thm)],[zip_derived_cl49241]) ).
thf(zip_derived_cl49496,plain,
( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ sk__26 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) )
!= ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Ebool_2EF_2E0 @ mono_2Ec_2Enum_2E0_2E0 @ ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3176,zip_derived_cl49242]) ).
thf(zip_derived_cl171,plain,
! [X0: d,X1: u,X2: u] :
( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF_2E0 ) ) @ ( s @ X0 @ X2 ) @ ( s @ X0 @ X1 ) ) )
= ( s @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[thm_2Ebool_2ECOND__CLAUSES]) ).
thf(zip_derived_cl87_015,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ X0 @ X1 @ X2 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) ),
inference(cnf,[status(esa)],[monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum]) ).
thf(zip_derived_cl6968,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Ebool_2EF_2E0 @ X1 @ X0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl87]) ).
thf(zip_derived_cl45_016,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) )
= X0 ),
inference(cnf,[status(esa)],[ji_2Emono_2Etyop_2Enum_2Enum]) ).
thf(zip_derived_cl51142,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) )
= ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Ebool_2EF_2E0 @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6968,zip_derived_cl45]) ).
thf(zip_derived_cl45_017,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) )
= X0 ),
inference(cnf,[status(esa)],[ji_2Emono_2Etyop_2Enum_2Enum]) ).
thf(zip_derived_cl51181,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( X0
= ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Ebool_2EF_2E0 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl51142,zip_derived_cl45]) ).
thf(zip_derived_cl51196,plain,
( ( mono_2Ec_2Earithmetic_2EMOD_2E2 @ sk__26 @ ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1 @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Earithmetic_2EBIT2_2E0 @ mono_2Ec_2Earithmetic_2EZERO_2E0 ) ) )
!= ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ),
inference(demod,[status(thm)],[zip_derived_cl49496,zip_derived_cl51181]) ).
thf(zip_derived_cl143880,plain,
( ~ ( p @ ( mono_2Ec_2Earithmetic_2EODD_2E1 @ sk__26 ) )
| ( ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 )
!= ( mono_2Ec_2Enum_2ESUC_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl143868,zip_derived_cl51196]) ).
thf(zip_derived_cl143885,plain,
~ ( p @ ( mono_2Ec_2Earithmetic_2EODD_2E1 @ sk__26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl143880]) ).
thf(zip_derived_cl143896,plain,
p @ ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ sk__26 ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl143885]) ).
thf(zip_derived_cl49242_018,plain,
( ( mono_2Ec_2Earithmetic_2EEVEN_2E1 @ sk__26 )
= mono_2Ec_2Ebool_2EF_2E0 ),
inference(simplify,[status(thm)],[zip_derived_cl49241]) ).
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_cl144021,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl143896,zip_derived_cl49242,zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : ITP003_1 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.05/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.olpibdy8mr true
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 15:31:23 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.18/0.47 % Total configuration time : 435
% 0.18/0.47 % Estimated wc time : 1092
% 0.18/0.47 % Estimated cpu time (7 cpus) : 156.0
% 0.79/0.53 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.79/0.53 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.79/0.54 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.79/0.54 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.79/0.54 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.79/0.54 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.85/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 177.99/25.89 % Solved by fo/fo6_bce.sh.
% 177.99/25.89 % BCE start: 365
% 177.99/25.89 % BCE eliminated: 2
% 177.99/25.89 % PE start: 363
% 177.99/25.89 logic: eq
% 177.99/25.89 % PE eliminated: 105
% 177.99/25.89 % done 6257 iterations in 25.332s
% 177.99/25.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 177.99/25.89 % SZS output start Refutation
% See solution above
% 177.99/25.89
% 177.99/25.89
% 177.99/25.89 % Terminating...
% 177.99/25.95 % Runner terminated.
% 177.99/25.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------