%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP018_2 : 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.PcsfRtniKe true
% Computer : n028.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 04:38:26 PM UTC 2025
% Result : Theorem 0.43s 1.00s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 64 ( 21 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 673 ( 26 ~; 20 |; 0 &; 623 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 5 con; 0-2 aty)
% Number of variables : 75 ( 0 ^; 75 !; 0 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(del_type,type,
del: $tType ).
thf(tp__ty_2Erealax_2Ereal_type,type,
tp__ty_2Erealax_2Ereal: $tType ).
thf(mem_type,type,
mem: $i > del > $o ).
thf(c_2Erealax_2Ereal__neg_type,type,
c_2Erealax_2Ereal__neg: $i ).
thf(c_2Ebinary__ieee_2Efloat__plus__min_type,type,
c_2Ebinary__ieee_2Efloat__plus__min: del > del > $i ).
thf(c_2Ebool_2Ethe__value_type,type,
c_2Ebool_2Ethe__value: del > $i ).
thf(sk__2_type,type,
sk__2: del ).
thf(c_2Ebinary__ieee_2Efloat__negate_type,type,
c_2Ebinary__ieee_2Efloat__negate: del > del > $i ).
thf(surj__ty_2Erealax_2Ereal_type,type,
surj__ty_2Erealax_2Ereal: $i > tp__ty_2Erealax_2Ereal ).
thf(ap_type,type,
ap: $i > $i > $i ).
thf(arr_type,type,
arr: del > del > del ).
thf(ty_2Ebool_2Eitself_type,type,
ty_2Ebool_2Eitself: del > del ).
thf(c_2Ebinary__ieee_2Eulp_type,type,
c_2Ebinary__ieee_2Eulp: del > del > $i ).
thf(c_2Ebinary__ieee_2Efloat__to__real_type,type,
c_2Ebinary__ieee_2Efloat__to__real: del > del > $i ).
thf(inj__ty_2Erealax_2Ereal_type,type,
inj__ty_2Erealax_2Ereal: tp__ty_2Erealax_2Ereal > $i ).
thf(sk__1_type,type,
sk__1: del ).
thf(ty_2Erealax_2Ereal_type,type,
ty_2Erealax_2Ereal: del ).
thf(ty_2Ebinary__ieee_2Efloat_type,type,
ty_2Ebinary__ieee_2Efloat: del > del > del ).
thf(ty_2Epair_2Eprod_type,type,
ty_2Epair_2Eprod: del > del > del ).
thf(mem_c_2Ebinary__ieee_2Efloat__plus__min,axiom,
! [A_27t: del,A_27w: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__plus__min @ A_27t @ A_27w ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ A_27t @ A_27w ) ) @ ( ty_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: del,X1: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mem_c_2Ebinary__ieee_2Efloat__plus__min]) ).
thf(ap_tp,axiom,
! [A: del,B: del,F: $i] :
( ( mem @ F @ ( arr @ A @ B ) )
=> ! [X: $i] :
( ( mem @ X @ A )
=> ( mem @ ( ap @ F @ X ) @ B ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: del,X2: $i,X3: del] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl42,plain,
! [X0: del,X1: del,X2: $i] :
( ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ X2 ) @ ( ty_2Ebinary__ieee_2Efloat @ X1 @ X0 ) )
| ~ ( mem @ X2 @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(conj_thm_2Ebinary__ieee_2Efloat__to__real__negate,axiom,
! [A_27a: del,A_27b: del,V0x: $i] :
( ( mem @ V0x @ ( ty_2Ebinary__ieee_2Efloat @ A_27a @ A_27b ) )
=> ( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ A_27a @ A_27b ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ A_27a @ A_27b ) @ V0x ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ A_27a @ A_27b ) @ V0x ) ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: del,X1: del,X2: $i] :
( ( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 ) @ X2 ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ X2 ) ) ) )
| ~ ( mem @ X2 @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[conj_thm_2Ebinary__ieee_2Efloat__to__real__negate]) ).
thf(conj_thm_2Ebinary__ieee_2Eneg__ulp,conjecture,
! [A_27t: del,A_27w: del] :
( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ A_27t @ A_27w ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ A_27t @ A_27w ) ) ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ A_27t @ A_27w ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ A_27t @ A_27w ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ A_27t @ A_27w ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ A_27t @ A_27w ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A_27t: del,A_27w: del] :
( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ A_27t @ A_27w ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ A_27t @ A_27w ) ) ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ A_27t @ A_27w ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ A_27t @ A_27w ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ A_27t @ A_27w ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ A_27t @ A_27w ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_thm_2Ebinary__ieee_2Eneg__ulp]) ).
thf(zip_derived_cl15,plain,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) )
!= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ sk__1 @ sk__2 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ sk__1 @ sk__2 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl48,plain,
( ( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) )
!= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ sk__1 @ sk__2 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) ) ) )
| ~ ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) @ ( ty_2Ebinary__ieee_2Efloat @ sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl15]) ).
thf(zip_derived_cl49,plain,
( ~ ( mem @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) )
| ( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) )
!= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ sk__1 @ sk__2 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl48]) ).
thf(mem_c_2Ebool_2Ethe__value,axiom,
! [A_27a: del] : ( mem @ ( c_2Ebool_2Ethe__value @ A_27a ) @ ( ty_2Ebool_2Eitself @ A_27a ) ) ).
thf(zip_derived_cl10,plain,
! [X0: del] : ( mem @ ( c_2Ebool_2Ethe__value @ X0 ) @ ( ty_2Ebool_2Eitself @ X0 ) ),
inference(cnf,[status(esa)],[mem_c_2Ebool_2Ethe__value]) ).
thf(zip_derived_cl50,plain,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) )
!= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ sk__1 @ sk__2 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl10]) ).
thf(mem_c_2Ebinary__ieee_2Eulp,axiom,
! [A_27t: del,A_27w: del] : ( mem @ ( c_2Ebinary__ieee_2Eulp @ A_27t @ A_27w ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ A_27t @ A_27w ) ) @ ty_2Erealax_2Ereal ) ) ).
thf(zip_derived_cl11,plain,
! [X0: del,X1: del] : ( mem @ ( c_2Ebinary__ieee_2Eulp @ X0 @ X1 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) @ ty_2Erealax_2Ereal ) ),
inference(cnf,[status(esa)],[mem_c_2Ebinary__ieee_2Eulp]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: del,X2: $i,X3: del] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl30,plain,
! [X0: del,X1: del,X2: $i] :
( ( mem @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ X2 ) @ ty_2Erealax_2Ereal )
| ~ ( mem @ X2 @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl0]) ).
thf(zip_derived_cl42_002,plain,
! [X0: del,X1: del,X2: $i] :
( ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ X2 ) @ ( ty_2Ebinary__ieee_2Efloat @ X1 @ X0 ) )
| ~ ( mem @ X2 @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(conj_thm_2Ebinary__ieee_2Eulp,axiom,
! [A_27t: del,A_27w: del] :
( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ A_27t @ A_27w ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ A_27t @ A_27w ) ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ A_27t @ A_27w ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ A_27t @ A_27w ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ A_27t @ A_27w ) ) ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: del,X1: del] :
( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X0 @ X1 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[conj_thm_2Ebinary__ieee_2Eulp]) ).
thf(stp_iso_mem_ty_2Erealax_2Ereal,axiom,
! [X: $i] :
( ( mem @ X @ ty_2Erealax_2Ereal )
=> ( X
= ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ X ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( X0
= ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ X0 ) ) )
| ~ ( mem @ X0 @ ty_2Erealax_2Ereal ) ),
inference(cnf,[status(esa)],[stp_iso_mem_ty_2Erealax_2Ereal]) ).
thf(zip_derived_cl45,plain,
! [X0: del,X1: del] :
( ( ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) )
= ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ) ) )
| ~ ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ) @ ty_2Erealax_2Ereal ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).
thf(mem_c_2Ebinary__ieee_2Efloat__to__real,axiom,
! [A_27t: del,A_27w: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__to__real @ A_27t @ A_27w ) @ ( arr @ ( ty_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) @ ty_2Erealax_2Ereal ) ) ).
thf(zip_derived_cl9,plain,
! [X0: del,X1: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( arr @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) @ ty_2Erealax_2Ereal ) ),
inference(cnf,[status(esa)],[mem_c_2Ebinary__ieee_2Efloat__to__real]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: del,X2: $i,X3: del] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl27,plain,
! [X0: del,X1: del,X2: $i] :
( ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ X2 ) @ ty_2Erealax_2Ereal )
| ~ ( mem @ X2 @ ( ty_2Ebinary__ieee_2Efloat @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).
thf(zip_derived_cl83,plain,
! [X0: del,X1: del] :
( ( ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) )
= ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ) ) )
| ~ ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) @ ( ty_2Ebinary__ieee_2Efloat @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl27]) ).
thf(zip_derived_cl361,plain,
! [X0: del,X1: del] :
( ~ ( mem @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) )
| ( ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) )
= ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl83]) ).
thf(zip_derived_cl10_004,plain,
! [X0: del] : ( mem @ ( c_2Ebool_2Ethe__value @ X0 ) @ ( ty_2Ebool_2Eitself @ X0 ) ),
inference(cnf,[status(esa)],[mem_c_2Ebool_2Ethe__value]) ).
thf(zip_derived_cl362,plain,
! [X0: del,X1: del] :
( ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) )
= ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl361,zip_derived_cl10]) ).
thf(zip_derived_cl5_005,plain,
! [X0: $i] :
( ( X0
= ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ X0 ) ) )
| ~ ( mem @ X0 @ ty_2Erealax_2Ereal ) ),
inference(cnf,[status(esa)],[stp_iso_mem_ty_2Erealax_2Ereal]) ).
thf(zip_derived_cl394,plain,
! [X0: del,X1: del] :
( ( ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) )
= ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ) )
| ~ ( mem @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) @ ty_2Erealax_2Ereal ) ),
inference('sup+',[status(thm)],[zip_derived_cl362,zip_derived_cl5]) ).
thf(zip_derived_cl430,plain,
! [X0: del,X1: del] :
( ~ ( mem @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) )
| ( ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) )
= ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl394]) ).
thf(zip_derived_cl10_006,plain,
! [X0: del] : ( mem @ ( c_2Ebool_2Ethe__value @ X0 ) @ ( ty_2Ebool_2Eitself @ X0 ) ),
inference(cnf,[status(esa)],[mem_c_2Ebool_2Ethe__value]) ).
thf(zip_derived_cl431,plain,
! [X0: del,X1: del] :
( ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) )
= ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl430,zip_derived_cl10]) ).
thf(zip_derived_cl433,plain,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) )
!= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl431]) ).
thf(zip_derived_cl434,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl433]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP018_2 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PcsfRtniKe true
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 15:34:38 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.41/0.57 % Total configuration time : 435
% 0.41/0.57 % Estimated wc time : 1092
% 0.41/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.42/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.43/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.43/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.43/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.43/1.00 % Solved by fo/fo4.sh.
% 0.43/1.00 % done 156 iterations in 0.185s
% 0.43/1.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.43/1.00 % SZS output start Refutation
% See solution above
% 0.43/1.00
% 0.43/1.00
% 0.43/1.00 % Terminating...
% 1.46/1.14 % Runner terminated.
% 1.46/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------