%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP013+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.ingXPqaciH true
% Computer : n031.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 04:38:20 PM UTC 2025
% Result : Theorem 11.09s 2.23s
% Output : Refutation 11.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 19 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 664 ( 6 ~; 3 |; 2 &; 649 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 8 con; 0-3 aty)
% Number of variables : 39 ( 0 ^; 39 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(s_type,type,
s: $i > $i > $i ).
thf(c_2Ewords_2Eword__sub_2E2_type,type,
c_2Ewords_2Eword__sub_2E2: $i > $i > $i ).
thf(c_2Earithmetic_2E_2B_2E2_type,type,
c_2Earithmetic_2E_2B_2E2: $i > $i > $i ).
thf(tyop_2Efcp_2Ecart_type,type,
tyop_2Efcp_2Ecart: $i > $i > $i ).
thf(c_2Ebool_2ET_2E0_type,type,
c_2Ebool_2ET_2E0: $i ).
thf(c_2Ewords_2Eword__2comp_2E1_type,type,
c_2Ewords_2Eword__2comp_2E1: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(c_2Ewords_2En2w_2E1_type,type,
c_2Ewords_2En2w_2E1: $i > $i ).
thf(c_2Earithmetic_2E_2D_2E2_type,type,
c_2Earithmetic_2E_2D_2E2: $i > $i > $i ).
thf(tyop_2Emin_2Ebool_type,type,
tyop_2Emin_2Ebool: $i ).
thf(p_type,type,
p: $i > $o ).
thf(c_2Ewords_2Eword__add_2E2_type,type,
c_2Ewords_2Eword__add_2E2: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(c_2Earithmetic_2E_3C_3D_2E2_type,type,
c_2Earithmetic_2E_3C_3D_2E2: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(c_2Ebool_2ECOND_2E3_type,type,
c_2Ebool_2ECOND_2E3: $i > $i > $i > $i ).
thf(tyop_2Enum_2Enum_type,type,
tyop_2Enum_2Enum: $i ).
thf(c_2Ebool_2EF_2E0_type,type,
c_2Ebool_2EF_2E0: $i ).
thf(thm_2Ewords_2En2w__sub,conjecture,
! [A_27a: $i,V0a_2E0: $i,V1b_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ V1b_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V0a_2E0 ) ) ) )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ V0a_2E0 ) @ ( s @ tyop_2Enum_2Enum @ 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 @ V0a_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V1b_2E0 ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A_27a: $i,V0a_2E0: $i,V1b_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ V1b_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V0a_2E0 ) ) ) )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ V0a_2E0 ) @ ( s @ tyop_2Enum_2Enum @ 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 @ V0a_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V1b_2E0 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[thm_2Ewords_2En2w__sub]) ).
thf(zip_derived_cl105,plain,
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ sk__4 ) @ ( s @ tyop_2Enum_2Enum @ 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 @ sk__4 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ sk__5 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl104,plain,
p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ sk__5 ) @ ( s @ tyop_2Enum_2Enum @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(reserved_2Eho_2Eboolext,axiom,
! [V0_2E0: $i,V1_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) )
=> ( ( s @ tyop_2Emin_2Ebool @ V0_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ X1 )
= ( s @ tyop_2Emin_2Ebool @ X0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X1 ) ) ),
inference(cnf,[status(esa)],[reserved_2Eho_2Eboolext]) ).
thf(zip_derived_cl692,plain,
! [X0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ X0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl1158,plain,
( ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ sk__5 ) @ ( s @ tyop_2Enum_2Enum @ sk__4 ) ) )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl692]) ).
thf(thm_2Ewords_2EWORD__LITERAL__ADD,axiom,
! [A_27a: $i,A_27b: $i] :
( ! [V2m_2E0: $i,V3n_2E0: $i] :
( ( 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 @ 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 @ V3n_2E0 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) @ ( s @ tyop_2Enum_2Enum @ 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 @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) ) ) ) ) ) ) ) ) )
& ! [V0m_2E0: $i,V1n_2E0: $i] :
( ( 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 @ 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 @ 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 @ ( c_2Earithmetic_2E_2B_2E2 @ ( s @ tyop_2Enum_2Enum @ V0m_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V1n_2E0 ) ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( 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 @ 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 @ X1 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ X1 ) @ ( s @ tyop_2Enum_2Enum @ X2 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ X2 ) @ ( s @ tyop_2Enum_2Enum @ 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 @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ X1 ) @ ( s @ tyop_2Enum_2Enum @ X2 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[thm_2Ewords_2EWORD__LITERAL__ADD]) ).
thf(thm_2Ewords_2Eword__sub__def,axiom,
! [A_27a: $i,V0v_2E0: $i,V1w_2E0: $i] :
( ( 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_cl101,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( 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_cl3688,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( 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 @ X2 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ X1 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ X1 ) @ ( s @ tyop_2Enum_2Enum @ X2 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ X2 ) @ ( s @ tyop_2Enum_2Enum @ 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 @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ X1 ) @ ( s @ tyop_2Enum_2Enum @ X2 ) ) ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl101]) ).
thf(zip_derived_cl3756,plain,
! [X0: $i] :
( ( 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 @ sk__4 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ sk__5 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ sk__4 ) @ ( s @ tyop_2Enum_2Enum @ 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 @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ sk__5 ) @ ( s @ tyop_2Enum_2Enum @ sk__4 ) ) ) ) ) ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1158,zip_derived_cl3688]) ).
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_cl99,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ X0 @ X1 ) @ ( s @ X0 @ X2 ) ) )
= ( s @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[thm_2Ebool_2Ebool__case__thm]) ).
thf(zip_derived_cl3776,plain,
! [X0: $i] :
( ( 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 @ sk__4 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ sk__5 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ sk__4 ) @ ( s @ tyop_2Enum_2Enum @ sk__5 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3756,zip_derived_cl99]) ).
thf(zip_derived_cl3825,plain,
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ sk__4 ) @ ( s @ tyop_2Enum_2Enum @ sk__5 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ sk__4 ) @ ( s @ tyop_2Enum_2Enum @ sk__5 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl3776]) ).
thf(zip_derived_cl3826,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl3825]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : ITP013+1 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ingXPqaciH true
% 0.12/0.38 % Computer : n031.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8042.1875MB
% 0.12/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Wed Oct 1 15:31:08 EDT 2025
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Running portfolio for 300 s
% 0.12/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % Number of cores: 8
% 0.12/0.38 % Python version: Python 3.6.8
% 0.12/0.39 % Running in FO mode
% 0.50/0.64 % Total configuration time : 435
% 0.50/0.64 % Estimated wc time : 1092
% 0.50/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 11.09/2.23 % Solved by fo/fo6_bce.sh.
% 11.09/2.23 % BCE start: 106
% 11.09/2.23 % BCE eliminated: 2
% 11.09/2.23 % PE start: 104
% 11.09/2.23 logic: eq
% 11.09/2.23 % PE eliminated: 3
% 11.09/2.23 % done 243 iterations in 1.490s
% 11.09/2.23 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 11.09/2.23 % SZS output start Refutation
% See solution above
% 11.09/2.23
% 11.09/2.23
% 11.09/2.23 % Terminating...
% 11.63/2.26 % Runner terminated.
% 11.63/2.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------