%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP015+1 : TPTP v9.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yiZTN8MH7F 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 04:38:22 PM UTC 2025
% Result : Theorem 14.00s 2.66s
% Output : Refutation 14.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 38 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 752 ( 7 ~; 4 |; 4 &; 736 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 9 con; 0-3 aty)
% Number of variables : 36 ( 0 ^; 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(s_type,type,
s: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(c_2Ebool_2ET_2E0_type,type,
c_2Ebool_2ET_2E0: $i ).
thf(tyop_2Efcp_2Ecart_type,type,
tyop_2Efcp_2Ecart: $i > $i > $i ).
thf(c_2Enum_2E0_2E0_type,type,
c_2Enum_2E0_2E0: $i ).
thf(c_2Einteger_2Eint__neg_2E1_type,type,
c_2Einteger_2Eint__neg_2E1: $i > $i ).
thf(c_2Einteger_2Eint__lt_2E2_type,type,
c_2Einteger_2Eint__lt_2E2: $i > $i > $i ).
thf(c_2Ewords_2En2w_2E1_type,type,
c_2Ewords_2En2w_2E1: $i > $i ).
thf(c_2Einteger_2Eint__of__num_2E1_type,type,
c_2Einteger_2Eint__of__num_2E1: $i > $i ).
thf(tyop_2Emin_2Efun_type,type,
tyop_2Emin_2Efun: $i > $i > $i ).
thf(tyop_2Einteger_2Eint_type,type,
tyop_2Einteger_2Eint: $i ).
thf(tyop_2Emin_2Ebool_type,type,
tyop_2Emin_2Ebool: $i ).
thf(p_type,type,
p: $i > $o ).
thf(c_2Eprim__rec_2E_3C_2E2_type,type,
c_2Eprim__rec_2E_3C_2E2: $i > $i > $i ).
thf(c_2Einteger__word_2Ei2w_2E1_type,type,
c_2Einteger__word_2Ei2w_2E1: $i > $i ).
thf(c_2Ebool_2EF_2E0_type,type,
c_2Ebool_2EF_2E0: $i ).
thf(c_2Einteger_2ENum_2E1_type,type,
c_2Einteger_2ENum_2E1: $i > $i ).
thf(c_2Ewords_2Eword__2comp_2E1_type,type,
c_2Ewords_2Eword__2comp_2E1: $i > $i ).
thf(app_2E2_type,type,
app_2E2: $i > $i > $i ).
thf(tyop_2Enum_2Enum_type,type,
tyop_2Enum_2Enum: $i ).
thf(c_2Ebool_2ECOND_2E3_type,type,
c_2Ebool_2ECOND_2E3: $i > $i > $i > $i ).
thf(c_2Einteger_2ENum_2E0_type,type,
c_2Einteger_2ENum_2E0: $i ).
thf(thm_2Einteger__word_2Ei2w__0,conjecture,
! [A_27a: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A_27a: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ),
inference('cnf.neg',[status(esa)],[thm_2Einteger__word_2Ei2w__0]) ).
thf(zip_derived_cl90,plain,
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__3 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(thm_2Einteger_2EINT__NEG__0,axiom,
( ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ).
thf(zip_derived_cl77,plain,
( ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ),
inference(cnf,[status(esa)],[thm_2Einteger_2EINT__NEG__0]) ).
thf(arityeq1_2Ec_2Einteger_2ENum_2E1,axiom,
! [X0_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ c_2Einteger_2ENum_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ X0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ c_2Einteger_2ENum_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X0 ) ) ) ),
inference(cnf,[status(esa)],[arityeq1_2Ec_2Einteger_2ENum_2E1]) ).
thf(zip_derived_cl513,plain,
( ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ c_2Einteger_2ENum_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl77,zip_derived_cl41]) ).
thf(thm_2Einteger_2ENUM__OF__INT,axiom,
! [V0n_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ).
thf(zip_derived_cl84,plain,
! [X0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ X0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ X0 ) ),
inference(cnf,[status(esa)],[thm_2Einteger_2ENUM__OF__INT]) ).
thf(zip_derived_cl514,plain,
( ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ c_2Einteger_2ENum_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl513,zip_derived_cl84]) ).
thf(thm_2Einteger__word_2Ei2w__def,axiom,
! [A_27a: $i,V0i_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ V0i_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0i_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ V0i_2E0 ) ) ) ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ V0i_2E0 ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ X1 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ X1 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ X1 ) ) ) ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ X1 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[thm_2Einteger__word_2Ei2w__def]) ).
thf(zip_derived_cl41_001,plain,
! [X0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ X0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ c_2Einteger_2ENum_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X0 ) ) ) ),
inference(cnf,[status(esa)],[arityeq1_2Ec_2Einteger_2ENum_2E1]) ).
thf(zip_derived_cl41_002,plain,
! [X0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ X0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ c_2Einteger_2ENum_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X0 ) ) ) ),
inference(cnf,[status(esa)],[arityeq1_2Ec_2Einteger_2ENum_2E1]) ).
thf(zip_derived_cl105,plain,
! [X0: $i,X1: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ X1 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ X1 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ c_2Einteger_2ENum_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ X1 ) ) ) ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ c_2Einteger_2ENum_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X1 ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl41,zip_derived_cl41]) ).
thf(zip_derived_cl9238,plain,
! [X0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ c_2Einteger_2ENum_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ) ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl514,zip_derived_cl105]) ).
thf(thm_2Einteger_2EINT__LT__CALCULATE,axiom,
! [V0n_2E0: $i,V1m_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
& ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) ) ) )
<=> ( ( ( s @ tyop_2Enum_2Enum @ V0n_2E0 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ V1m_2E0 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
& ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) )
& ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) ) ) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ X0 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ X1 ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ X0 ) @ ( s @ tyop_2Enum_2Enum @ X1 ) ) ) ),
inference(cnf,[status(esa)],[thm_2Einteger_2EINT__LT__CALCULATE]) ).
thf(reserved_2Eho_2Ebool__cases__ax,axiom,
! [V0t_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ X0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ X0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ),
inference(cnf,[status(esa)],[reserved_2Eho_2Ebool__cases__ax]) ).
thf(reserved_2Eho_2Etruth,axiom,
p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ).
thf(zip_derived_cl3,plain,
p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ),
inference(cnf,[status(esa)],[reserved_2Eho_2Etruth]) ).
thf(zip_derived_cl130,plain,
! [X0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ X0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl3]) ).
thf(thm_2Eprim__rec_2ENOT__LESS__0,axiom,
! [V0n_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ).
thf(zip_derived_cl86,plain,
! [X0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ X0 ) @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ),
inference(cnf,[status(esa)],[thm_2Eprim__rec_2ENOT__LESS__0]) ).
thf(zip_derived_cl907,plain,
! [X0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ X0 ) @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl86]) ).
thf(zip_derived_cl77_003,plain,
( ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ),
inference(cnf,[status(esa)],[thm_2Einteger_2EINT__NEG__0]) ).
thf(zip_derived_cl514_004,plain,
( ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ c_2Einteger_2ENum_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl513,zip_derived_cl84]) ).
thf(thm_2Ewords_2EWORD__NEG__0,axiom,
! [A_27a: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ),
inference(cnf,[status(esa)],[thm_2Ewords_2EWORD__NEG__0]) ).
thf(thm_2Ebool_2Ebool__case__thm,axiom,
! [A_27a: $i] :
( ! [V2t1_2E0: $i,V3t2_2E0: $i] :
( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ A_27a @ V2t1_2E0 ) @ ( s @ A_27a @ V3t2_2E0 ) ) )
= ( s @ A_27a @ V3t2_2E0 ) )
& ! [V0t1_2E0: $i,V1t2_2E0: $i] :
( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
= ( s @ A_27a @ V0t1_2E0 ) ) ) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ X0 @ X2 ) @ ( s @ X0 @ X1 ) ) )
= ( s @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[thm_2Ebool_2Ebool__case__thm]) ).
thf(zip_derived_cl9249,plain,
! [X0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9238,zip_derived_cl78,zip_derived_cl907,zip_derived_cl77,zip_derived_cl514,zip_derived_cl89,zip_derived_cl76]) ).
thf(zip_derived_cl9250,plain,
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl9249]) ).
thf(zip_derived_cl9251,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl9250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ITP015+1 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.08/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yiZTN8MH7F true
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 15:29:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.56/0.63 % Total configuration time : 435
% 0.56/0.63 % Estimated wc time : 1092
% 0.56/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 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
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 14.00/2.66 % Solved by fo/fo13.sh.
% 14.00/2.66 % done 320 iterations in 1.878s
% 14.00/2.66 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.00/2.66 % SZS output start Refutation
% See solution above
% 14.00/2.66
% 14.00/2.66
% 14.00/2.66 % Terminating...
% 14.99/2.75 % Runner terminated.
% 14.99/2.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------