TSTP Solution File: ITP013_1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP013_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3ZxUclRO7J true
% Computer : n010.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 Aug 31 05:21:08 EDT 2023
% Result : Theorem 1.01s 1.37s
% Output : Refutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 31
% Syntax : Number of formulae : 46 ( 14 unt; 25 typ; 0 def)
% Number of atoms : 30 ( 19 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 580 ( 6 ~; 3 |; 2 &; 565 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 8 con; 0-3 aty)
% Number of variables : 39 ( 0 ^; 39 !; 0 ?; 39 :)
% 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(du_type,type,
du: $tType ).
thf(d_type,type,
d: $tType ).
thf(u_type,type,
u: $tType ).
thf(mono_2Ec_2Earithmetic_2E_2D_2E2_type,type,
mono_2Ec_2Earithmetic_2E_2D_2E2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(sk__3_type,type,
sk__3: d ).
thf(c_2Ewords_2Eword__add_2E2_type,type,
c_2Ewords_2Eword__add_2E2: du > du > u ).
thf(tyop_2Efcp_2Ecart_type,type,
tyop_2Efcp_2Ecart: d > d > d ).
thf(mono_2Ec_2Ebool_2ET_2E0_type,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
thf(s_type,type,
s: d > u > du ).
thf(c_2Ewords_2Eword__2comp_2E1_type,type,
c_2Ewords_2Eword__2comp_2E1: du > u ).
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(sk__4_type,type,
sk__4: mono_2Etyop_2Enum_2Enum ).
thf(sk__5_type,type,
sk__5: mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2E_3C_3D_2E2_type,type,
mono_2Ec_2Earithmetic_2E_3C_3D_2E2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Emin_2Ebool ).
thf(c_2Ewords_2Eword__sub_2E2_type,type,
c_2Ewords_2Eword__sub_2E2: du > du > u ).
thf(mono_2Ec_2Ebool_2EF_2E0_type,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
thf(c_2Ebool_2ECOND_2E3_type,type,
c_2Ebool_2ECOND_2E3: du > du > du > u ).
thf(c_2Ewords_2En2w_2E1_type,type,
c_2Ewords_2En2w_2E1: du > u ).
thf(i_mono_2Etyop_2Enum_2Enum_type,type,
i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
thf(i_mono_2Etyop_2Emin_2Ebool_type,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
thf(p_type,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
thf(tyop_2Emin_2Ebool_type,type,
tyop_2Emin_2Ebool: d ).
thf(tyop_2Enum_2Enum_type,type,
tyop_2Enum_2Enum: d ).
thf(thm_2Ewords_2En2w__sub,conjecture,
! [A_27a: d,V0a_2E0: mono_2Etyop_2Enum_2Enum,V1b_2E0: mono_2Etyop_2Enum_2Enum] :
( ( p @ ( mono_2Ec_2Earithmetic_2E_3C_3D_2E2 @ V1b_2E0 @ V0a_2E0 ) )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D_2E2 @ V0a_2E0 @ V1b_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0a_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1b_2E0 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A_27a: d,V0a_2E0: mono_2Etyop_2Enum_2Enum,V1b_2E0: mono_2Etyop_2Enum_2Enum] :
( ( p @ ( mono_2Ec_2Earithmetic_2E_3C_3D_2E2 @ V1b_2E0 @ V0a_2E0 ) )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D_2E2 @ V0a_2E0 @ V1b_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0a_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1b_2E0 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[thm_2Ewords_2En2w__sub]) ).
thf(zip_derived_cl127,plain,
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D_2E2 @ sk__4 @ sk__5 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__3 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sk__4 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sk__5 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126,plain,
p @ ( mono_2Ec_2Earithmetic_2E_3C_3D_2E2 @ sk__5 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_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_cl714,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_cl887,plain,
( ( mono_2Ec_2Earithmetic_2E_3C_3D_2E2 @ sk__5 @ sk__4 )
= mono_2Ec_2Ebool_2ET_2E0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl714]) ).
thf(thm_2Ewords_2EWORD__LITERAL__ADD,axiom,
! [A_27a: d,A_27b: d] :
( ! [V2m_2E0: mono_2Etyop_2Enum_2Enum,V3n_2E0: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V2m_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V3n_2E0 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Earithmetic_2E_3C_3D_2E2 @ V3n_2E0 @ V2m_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D_2E2 @ V2m_2E0 @ V3n_2E0 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D_2E2 @ V3n_2E0 @ V2m_2E0 ) ) ) ) ) ) ) ) ) )
& ! [V0m_2E0: mono_2Etyop_2Enum_2Enum,V1n_2E0: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( 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 @ ( i_mono_2Etyop_2Enum_2Enum @ V0m_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 @ ( i_mono_2Etyop_2Enum_2Enum @ V1n_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 @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B_2E2 @ V0m_2E0 @ V1n_2E0 ) ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl124,plain,
! [X0: d,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) @ ( 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 @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Earithmetic_2E_3C_3D_2E2 @ X1 @ X2 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D_2E2 @ X2 @ X1 ) ) ) ) ) @ ( 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 @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D_2E2 @ X1 @ X2 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[thm_2Ewords_2EWORD__LITERAL__ADD]) ).
thf(thm_2Ewords_2Eword__sub__def,axiom,
! [A_27a: d,V0v_2E0: u,V1w_2E0: u] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0v_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0v_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) ) ) ) ) ) ).
thf(zip_derived_cl123,plain,
! [X0: d,X1: u,X2: u] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ X1 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ X2 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ X1 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ X2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[thm_2Ewords_2Eword__sub__def]) ).
thf(zip_derived_cl2958,plain,
! [X0: d,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Earithmetic_2E_3C_3D_2E2 @ X1 @ X2 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D_2E2 @ X2 @ X1 ) ) ) ) ) @ ( 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 @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D_2E2 @ X1 @ X2 ) ) ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl123]) ).
thf(zip_derived_cl2997,plain,
! [X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sk__4 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sk__5 ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET_2E0 ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D_2E2 @ sk__4 @ sk__5 ) ) ) ) ) @ ( 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 @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D_2E2 @ sk__5 @ sk__4 ) ) ) ) ) ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl887,zip_derived_cl2958]) ).
thf(thm_2Ebool_2Ebool__case__thm,axiom,
! [A_27a: d] :
( ! [V2t1_2E0: u,V3t2_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 @ V2t1_2E0 ) @ ( s @ A_27a @ V3t2_2E0 ) ) )
= ( s @ A_27a @ V3t2_2E0 ) )
& ! [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_2ET_2E0 ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
= ( s @ A_27a @ V0t1_2E0 ) ) ) ).
thf(zip_derived_cl121,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_2Ebool__case__thm]) ).
thf(zip_derived_cl3004,plain,
! [X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sk__4 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sk__5 ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D_2E2 @ sk__4 @ sk__5 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2997,zip_derived_cl121]) ).
thf(zip_derived_cl3005,plain,
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D_2E2 @ sk__4 @ sk__5 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D_2E2 @ sk__4 @ sk__5 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl3004]) ).
thf(zip_derived_cl3006,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl3005]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP013_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3ZxUclRO7J true
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 15:46:19 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.01/1.37 % Solved by fo/fo6_bce.sh.
% 1.01/1.37 % BCE start: 128
% 1.01/1.37 % BCE eliminated: 2
% 1.01/1.37 % PE start: 126
% 1.01/1.37 logic: eq
% 1.01/1.37 % PE eliminated: 3
% 1.01/1.37 % done 270 iterations in 0.640s
% 1.01/1.37 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.01/1.37 % SZS output start Refutation
% See solution above
% 1.01/1.37
% 1.01/1.37
% 1.01/1.37 % Terminating...
% 5.85/1.45 % Runner terminated.
% 5.85/1.46 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------