%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO854^1 : TPTP v9.2.0. Released 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.uyZ2dkdJ2w true
% Computer : n008.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 05:08:20 PM UTC 2025
% Result : Theorem 150.44s 19.56s
% Output : Refutation 150.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 54 ( 28 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 815 ( 6 ~; 5 |; 0 &; 781 @)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1241 (1241 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 4 con; 0-5 aty)
% ( 0 !!; 1 ??; 0 @@+; 0 @@-)
% Number of variables : 714 ( 597 ^; 116 !; 1 ?; 714 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_lam_type,type,
c_lam: $i > ( $i > $i ) > $i ).
thf('#l_lift16598_type',type,
'#l_lift16598': ( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i > $i > ( $i > $i ) > $i > $i ).
thf(c_Power_type,type,
c_Power: $i > $i ).
thf(c_Subq_type,type,
c_Subq: $i > $i > $o ).
thf('#l_lift16599_type',type,
'#l_lift16599': ( $i > ( $i > $i ) > $i ) > $i > $i > $i > $i ).
thf('#l_lift16585_type',type,
'#l_lift16585': $i > $i > $i ).
thf(c_iff_type,type,
c_iff: $o > $o > $o ).
thf(c_Empty_type,type,
c_Empty: $i ).
thf(c_In_type,type,
c_In: $i > $i > $o ).
thf(c_Inj1_type,type,
c_Inj1: $i > $i ).
thf(c_setsum_type,type,
c_setsum: $i > $i > $i ).
thf(sk__65_type,type,
sk__65: ( ( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i > $i > ( $i > $i ) > $i > $i ) > ( ( $i > ( $i > $i ) > $i ) > $i ) > $i ).
thf(c_Inj0_type,type,
c_Inj0: $i > $i ).
thf(sk__10_type,type,
sk__10: $i > $i > $i ).
thf(c_not_type,type,
c_not: $o > $o ).
thf(c_setprod_type,type,
c_setprod: $i > $i > $i ).
thf(c_False_type,type,
c_False: $o ).
thf('#l_lift16600_type',type,
'#l_lift16600': ( ( $i > $i > $i > $i ) > $i ) > ( $i > ( $i > $i ) > $i ) > $i ).
thf(ax17,axiom,
! [X0: $i,X1: $i] :
( ( c_Subq @ X0 @ X1 )
<=> ! [X2: $i] :
( ( c_In @ X2 @ X0 )
=> ( c_In @ X2 @ X1 ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ( c_Subq @ X0 @ X1 )
| ( c_In @ ( sk__10 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(ax3,axiom,
! [X0: $o,X1: $o] :
( ( c_iff @ X0 @ X1 )
=> ( X0
<=> X1 ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $o,X1: $o] :
( ~ X0
| X1
| ~ ( c_iff @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(ax7,axiom,
! [X0: $i,X1: $i] : ( c_iff @ ( c_In @ X1 @ ( c_Power @ X0 ) ) @ ( c_Subq @ X1 @ X0 ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] : ( c_iff @ ( c_In @ X0 @ ( c_Power @ X1 ) ) @ ( c_Subq @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(conj,conjecture,
! [X0: ( $i > $i ) > ( $i > $i > ( $i > $i ) > $i ) > $i,X1: ( ( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i > $i > ( $i > $i ) > $i > $i ) > ( ( $i > ( $i > $i ) > $i ) > $i ) > $i,X2: ( ( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i ) > $i ) > ( $i > ( ( $i > $i ) > $i ) > ( $i > $i ) > $i ) > $i > $i,X3: ( ( ( ( $i > $i > $i ) > $i > $i ) > $i ) > ( $i > $i > $i ) > $i ) > $i > $i] :
( ! [X4: $i,X5: $i,X6: $i,X7: ( $i > $i ) > $i] :
( ( X3
@ ^ [X8: ( ( $i > $i > $i ) > $i > $i ) > $i,X9: $i > $i > $i] :
( X2
@ ^ [X10: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X10: $i,X11: ( $i > $i ) > $i,X12: $i > $i] : ( c_setsum @ ( c_Inj1 @ ( c_Inj0 @ c_Empty ) ) @ ( X9 @ ( c_Inj1 @ c_Empty ) @ ( c_Inj0 @ c_Empty ) ) )
@ ( X0
@ ^ [X10: $i] : X10
@ ^ [X10: $i,X11: $i,X12: $i > $i] :
( c_setsum
@ ( X1
@ ^ [X13: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X14: $i,X15: $i,X16: $i > $i,X17: $i] : c_Empty
@ ^ [X13: $i > ( $i > $i ) > $i] : c_Empty )
@ ( c_setsum @ c_Empty @ c_Empty ) ) ) )
@ ( X2
@ ^ [X8: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] :
( c_setsum
@ ( X3
@ ^ [X9: ( ( $i > $i > $i ) > $i > $i ) > $i,X10: $i > $i > $i] : c_Empty
@ X5 )
@ ( X2
@ ^ [X9: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] :
( X7
@ ^ [X10: $i] : c_Empty )
@ ^ [X9: $i,X10: ( $i > $i ) > $i,X11: $i > $i] : ( c_setsum @ c_Empty @ c_Empty )
@ ( X0
@ ^ [X9: $i] : c_Empty
@ ^ [X9: $i,X10: $i,X11: $i > $i] : c_Empty ) ) )
@ ^ [X8: $i,X9: ( $i > $i ) > $i,X10: $i > $i] : X8
@ X4 ) )
= ( c_setsum @ X5 @ X4 ) )
=> ( ! [X4: ( $i > ( $i > $i ) > $i ) > $i,X5: $i,X6: $i,X7: $i] :
( ( X3
@ ^ [X8: ( ( $i > $i > $i ) > $i > $i ) > $i,X9: $i > $i > $i] : c_Empty
@ c_Empty )
= ( c_setsum @ c_Empty
@ ( X4
@ ^ [X8: $i,X9: $i > $i] : c_Empty ) ) )
=> ( ! [X4: $i > ( $i > $i ) > ( $i > $i ) > $i > $i,X5: $i > $i > ( $i > $i ) > $i,X6: $i,X7: $i > $i] :
( ( X2
@ ^ [X8: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] :
( X0
@ ^ [X9: $i] : c_Empty
@ ^ [X9: $i,X10: $i,X11: $i > $i] : ( c_Inj0 @ ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) )
@ ^ [X8: $i,X9: ( $i > $i ) > $i,X10: $i > $i] :
( c_setsum
@ ( X0
@ ^ [X11: $i] :
( c_setsum @ X11
@ ( X1
@ ^ [X12: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X13: $i,X14: $i,X15: $i > $i,X16: $i] : c_Empty
@ ^ [X12: $i > ( $i > $i ) > $i] : c_Empty ) )
@ ^ [X11: $i,X12: $i,X13: $i > $i] : ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty ) @ ( c_Inj1 @ c_Empty ) ) )
@ ( c_setsum @ c_Empty
@ ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty )
@ ( X3
@ ^ [X11: ( ( $i > $i > $i ) > $i > $i ) > $i,X12: $i > $i > $i] : c_Empty
@ c_Empty ) ) ) )
@ ( X4
@ ( X3
@ ^ [X8: ( ( $i > $i > $i ) > $i > $i ) > $i,X9: $i > $i > $i] : c_Empty
@ ( c_setsum @ ( c_Inj0 @ c_Empty ) @ c_Empty ) )
@ ^ [X8: $i] : ( c_setsum @ c_Empty @ ( c_Inj0 @ c_Empty ) )
@ ^ [X8: $i] :
( c_setsum @ c_Empty
@ ( c_setsum @ c_Empty
@ ( X5 @ c_Empty @ c_Empty
@ ^ [X9: $i] : c_Empty ) ) )
@ ( X1
@ ^ [X8: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X9: $i,X10: $i,X11: $i > $i,X12: $i] : c_Empty
@ ^ [X8: $i > ( $i > $i ) > $i] : c_Empty ) ) )
= ( X0
@ ^ [X8: $i] :
( X0
@ ^ [X9: $i] : c_Empty
@ ^ [X9: $i,X10: $i,X11: $i > $i] :
( c_setsum
@ ( X1
@ ^ [X12: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X13: $i,X14: $i,X15: $i > $i,X16: $i] : c_Empty
@ ^ [X12: $i > ( $i > $i ) > $i] : c_Empty )
@ ( c_Inj1 @ X10 ) ) )
@ ^ [X8: $i,X9: $i,X10: $i > $i] :
( c_setsum
@ ( X7
@ ( c_setsum @ X9
@ ( X1
@ ^ [X11: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X12: $i,X13: $i,X14: $i > $i,X15: $i] : c_Empty
@ ^ [X11: $i > ( $i > $i ) > $i] : c_Empty ) ) )
@ c_Empty ) ) )
=> ( ! [X4: ( $i > ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i ) > $i,X5: $i,X6: $i,X7: $i] :
( ( X2
@ ^ [X8: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] :
( c_setsum @ c_Empty
@ ( c_setsum
@ ( c_setsum
@ ( X2
@ ^ [X9: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X9: $i,X10: ( $i > $i ) > $i,X11: $i > $i] : c_Empty
@ c_Empty )
@ ( X3
@ ^ [X9: ( ( $i > $i > $i ) > $i > $i ) > $i,X10: $i > $i > $i] : c_Empty
@ c_Empty ) )
@ c_Empty ) )
@ ^ [X8: $i,X9: ( $i > $i ) > $i,X10: $i > $i] :
( c_setsum @ ( c_setsum @ c_Empty @ X7 )
@ ( X1
@ ^ [X11: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X12: $i,X13: $i,X14: $i > $i,X15: $i] :
( X3
@ ^ [X16: ( ( $i > $i > $i ) > $i > $i ) > $i,X17: $i > $i > $i] : ( X14 @ c_Empty )
@ X12 )
@ ^ [X11: $i > ( $i > $i ) > $i] :
( c_Inj1
@ ( X1
@ ^ [X12: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X13: $i,X14: $i,X15: $i > $i,X16: $i] : c_Empty
@ ^ [X12: $i > ( $i > $i ) > $i] : c_Empty ) ) ) )
@ c_Empty )
= ( X4
@ ^ [X8: $i,X9: $i > $i,X10: $i] :
( X3
@ ^ [X11: ( ( $i > $i > $i ) > $i > $i ) > $i,X12: $i > $i > $i] :
( X12
@ ( X1
@ ^ [X13: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X14: $i,X15: $i,X16: $i > $i,X17: $i] :
( X2
@ ^ [X18: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X18: $i,X19: ( $i > $i ) > $i,X20: $i > $i] : c_Empty
@ c_Empty )
@ ^ [X13: $i > ( $i > $i ) > $i] : c_Empty )
@ ( c_Inj0 @ c_Empty ) )
@ ( X9 @ c_Empty ) )
@ ^ [X8: $i > $i] : c_Empty ) )
=> ( ! [X4: ( $i > $i > $i > $i ) > $i,X5: $i,X6: $i,X7: ( $i > $i > $i > $i ) > $i] :
( ( X1
@ ^ [X8: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X9: $i,X10: $i,X11: $i > $i,X12: $i] : X9
@ ^ [X8: $i > ( $i > $i ) > $i] :
( c_setsum @ c_Empty
@ ( c_setsum
@ ( X7
@ ^ [X9: $i,X10: $i,X11: $i] :
( X8 @ c_Empty
@ ^ [X12: $i] : c_Empty ) )
@ ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty )
@ ( X8 @ c_Empty
@ ^ [X9: $i] : c_Empty ) ) ) ) )
= X5 )
=> ( ! [X4: ( ( ( $i > $i ) > $i > $i ) > $i > $i > $i ) > $i > $i > $i,X5: ( ( $i > $i ) > $i ) > $i,X6: $i > $i,X7: $i > ( ( $i > $i ) > $i ) > ( $i > $i ) > $i > $i] :
( ( X1
@ ^ [X8: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X9: $i,X10: $i,X11: $i > $i,X12: $i] :
( c_setsum
@ ( X2
@ ^ [X13: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] :
( c_setsum @ ( c_Inj1 @ c_Empty )
@ ( X2
@ ^ [X14: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X14: $i,X15: ( $i > $i ) > $i,X16: $i > $i] : c_Empty
@ c_Empty ) )
@ ^ [X13: $i,X14: ( $i > $i ) > $i,X15: $i > $i] :
( X2
@ ^ [X16: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] :
( X14
@ ^ [X17: $i] : c_Empty )
@ ^ [X16: $i,X17: ( $i > $i ) > $i,X18: $i > $i] :
( X2
@ ^ [X19: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X19: $i,X20: ( $i > $i ) > $i,X21: $i > $i] : c_Empty
@ c_Empty )
@ ( X14
@ ^ [X16: $i] : c_Empty ) )
@ ( c_Inj0 @ ( X11 @ c_Empty ) ) )
@ X9 )
@ ^ [X8: $i > ( $i > $i ) > $i] :
( X8 @ c_Empty
@ ^ [X9: $i] : c_Empty ) )
= ( X4
@ ^ [X8: ( $i > $i ) > $i > $i,X9: $i,X10: $i] :
( X1
@ ^ [X11: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X12: $i,X13: $i,X14: $i > $i,X15: $i] :
( c_setsum @ ( c_Inj1 @ c_Empty )
@ ( X3
@ ^ [X16: ( ( $i > $i > $i ) > $i > $i ) > $i,X17: $i > $i > $i] :
( X2
@ ^ [X18: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X18: $i,X19: ( $i > $i ) > $i,X20: $i > $i] : c_Empty
@ c_Empty )
@ ( c_Inj1 @ c_Empty ) ) )
@ ^ [X11: $i > ( $i > $i ) > $i] :
( X3
@ ^ [X12: ( ( $i > $i > $i ) > $i > $i ) > $i,X13: $i > $i > $i] :
( c_setsum
@ ( X12
@ ^ [X14: $i > $i > $i,X15: $i] : c_Empty )
@ ( c_setsum @ c_Empty @ c_Empty ) )
@ ( c_setsum @ ( c_Inj1 @ c_Empty ) @ ( c_Inj1 @ c_Empty ) ) ) )
@ ( X3
@ ^ [X8: ( ( $i > $i > $i ) > $i > $i ) > $i,X9: $i > $i > $i] :
( X0
@ ^ [X10: $i] :
( X8
@ ^ [X11: $i > $i > $i,X12: $i] :
( X1
@ ^ [X13: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X14: $i,X15: $i,X16: $i > $i,X17: $i] : c_Empty
@ ^ [X13: $i > ( $i > $i ) > $i] : c_Empty ) )
@ ^ [X10: $i,X11: $i,X12: $i > $i] :
( X0
@ ^ [X13: $i] :
( X0
@ ^ [X14: $i] : c_Empty
@ ^ [X14: $i,X15: $i,X16: $i > $i] : c_Empty )
@ ^ [X13: $i,X14: $i,X15: $i > $i] : ( c_setsum @ c_Empty @ c_Empty ) ) )
@ ( c_setsum @ ( c_Inj1 @ c_Empty )
@ ( X6
@ ( X7 @ c_Empty
@ ^ [X8: $i > $i] : c_Empty
@ ^ [X8: $i] : c_Empty
@ c_Empty ) ) ) )
@ ( X5
@ ^ [X8: $i > $i] : ( c_setsum @ c_Empty @ c_Empty ) ) ) )
=> ( ! [X4: $i,X5: $i > $i,X6: $i > ( ( $i > $i ) > $i ) > $i,X7: ( $i > ( $i > $i ) > $i ) > $i > ( $i > $i ) > $i] :
( ( X0
@ ^ [X8: $i] :
( X3
@ ^ [X9: ( ( $i > $i > $i ) > $i > $i ) > $i,X10: $i > $i > $i] : c_Empty
@ ( c_setsum @ c_Empty
@ ( c_Inj0
@ ( X2
@ ^ [X9: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X9: $i,X10: ( $i > $i ) > $i,X11: $i > $i] : c_Empty
@ c_Empty ) ) ) )
@ ^ [X8: $i,X9: $i,X10: $i > $i] :
( X2
@ ^ [X11: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X11: $i,X12: ( $i > $i ) > $i,X13: $i > $i] :
( c_setsum
@ ( X2
@ ^ [X14: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X14: $i,X15: ( $i > $i ) > $i,X16: $i > $i] : c_Empty
@ ( X12
@ ^ [X14: $i] : c_Empty ) )
@ ( c_Inj1
@ ( X1
@ ^ [X14: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X15: $i,X16: $i,X17: $i > $i,X18: $i] : c_Empty
@ ^ [X14: $i > ( $i > $i ) > $i] : c_Empty ) ) )
@ c_Empty ) )
= ( X2
@ ^ [X8: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] :
( c_setsum
@ ( X8 @ c_Empty
@ ^ [X9: $i > $i,X10: $i] : ( c_Inj1 @ ( c_Inj0 @ c_Empty ) )
@ ( c_setsum @ c_Empty
@ ( X3
@ ^ [X9: ( ( $i > $i > $i ) > $i > $i ) > $i,X10: $i > $i > $i] : c_Empty
@ c_Empty ) )
@ ( c_Inj0 @ ( c_Inj0 @ c_Empty ) ) )
@ ( X1
@ ^ [X9: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X10: $i,X11: $i,X12: $i > $i,X13: $i] : ( c_Inj0 @ c_Empty )
@ ^ [X9: $i > ( $i > $i ) > $i] :
( c_Inj1
@ ( X3
@ ^ [X10: ( ( $i > $i > $i ) > $i > $i ) > $i,X11: $i > $i > $i] : c_Empty
@ c_Empty ) ) ) )
@ ^ [X8: $i,X9: ( $i > $i ) > $i,X10: $i > $i] :
( c_setsum
@ ( X2
@ ^ [X11: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X11: $i,X12: ( $i > $i ) > $i,X13: $i > $i] :
( c_Inj1
@ ( X2
@ ^ [X14: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X14: $i,X15: ( $i > $i ) > $i,X16: $i > $i] : c_Empty
@ c_Empty ) )
@ ( X7
@ ^ [X11: $i,X12: $i > $i] : ( c_setsum @ c_Empty @ c_Empty )
@ ( X2
@ ^ [X11: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X11: $i,X12: ( $i > $i ) > $i,X13: $i > $i] : c_Empty
@ c_Empty )
@ ^ [X11: $i] : X8 ) )
@ ( X9
@ ^ [X11: $i] :
( c_Inj1
@ ( X0
@ ^ [X12: $i] : c_Empty
@ ^ [X12: $i,X13: $i,X14: $i > $i] : c_Empty ) ) ) )
@ ( X2
@ ^ [X8: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : ( X5 @ ( X5 @ ( c_setsum @ c_Empty @ c_Empty ) ) )
@ ^ [X8: $i,X9: ( $i > $i ) > $i,X10: $i > $i] : c_Empty
@ ( c_setsum @ c_Empty @ c_Empty ) ) ) )
=> ( ! [X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X0
@ ^ [X8: $i] : X8
@ ^ [X8: $i,X9: $i,X10: $i > $i] : ( c_setsum @ ( c_Inj0 @ c_Empty ) @ ( c_Inj0 @ c_Empty ) ) )
= ( c_Inj0 @ c_Empty ) )
=> c_False ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: ( $i > $i ) > ( $i > $i > ( $i > $i ) > $i ) > $i,X1: ( ( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i > $i > ( $i > $i ) > $i > $i ) > ( ( $i > ( $i > $i ) > $i ) > $i ) > $i,X2: ( ( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i ) > $i ) > ( $i > ( ( $i > $i ) > $i ) > ( $i > $i ) > $i ) > $i > $i,X3: ( ( ( ( $i > $i > $i ) > $i > $i ) > $i ) > ( $i > $i > $i ) > $i ) > $i > $i] :
( ! [X4: $i,X5: $i,X6: $i,X7: ( $i > $i ) > $i] :
( ( X3
@ ^ [X8: ( ( $i > $i > $i ) > $i > $i ) > $i,X9: $i > $i > $i] :
( X2
@ ^ [X10: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X10: $i,X11: ( $i > $i ) > $i,X12: $i > $i] : ( c_setsum @ ( c_Inj1 @ ( c_Inj0 @ c_Empty ) ) @ ( X9 @ ( c_Inj1 @ c_Empty ) @ ( c_Inj0 @ c_Empty ) ) )
@ ( X0
@ ^ [X10: $i] : X10
@ ^ [X10: $i,X11: $i,X12: $i > $i] :
( c_setsum
@ ( X1
@ ^ [X13: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X14: $i,X15: $i,X16: $i > $i,X17: $i] : c_Empty
@ ^ [X13: $i > ( $i > $i ) > $i] : c_Empty )
@ ( c_setsum @ c_Empty @ c_Empty ) ) ) )
@ ( X2
@ ^ [X8: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] :
( c_setsum
@ ( X3
@ ^ [X9: ( ( $i > $i > $i ) > $i > $i ) > $i,X10: $i > $i > $i] : c_Empty
@ X5 )
@ ( X2
@ ^ [X9: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] :
( X7
@ ^ [X10: $i] : c_Empty )
@ ^ [X9: $i,X10: ( $i > $i ) > $i,X11: $i > $i] : ( c_setsum @ c_Empty @ c_Empty )
@ ( X0
@ ^ [X9: $i] : c_Empty
@ ^ [X9: $i,X10: $i,X11: $i > $i] : c_Empty ) ) )
@ ^ [X8: $i,X9: ( $i > $i ) > $i,X10: $i > $i] : X8
@ X4 ) )
= ( c_setsum @ X5 @ X4 ) )
=> ( ! [X4: ( $i > ( $i > $i ) > $i ) > $i,X5: $i,X6: $i,X7: $i] :
( ( X3
@ ^ [X8: ( ( $i > $i > $i ) > $i > $i ) > $i,X9: $i > $i > $i] : c_Empty
@ c_Empty )
= ( c_setsum @ c_Empty
@ ( X4
@ ^ [X8: $i,X9: $i > $i] : c_Empty ) ) )
=> ( ! [X4: $i > ( $i > $i ) > ( $i > $i ) > $i > $i,X5: $i > $i > ( $i > $i ) > $i,X6: $i,X7: $i > $i] :
( ( X2
@ ^ [X8: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] :
( X0
@ ^ [X9: $i] : c_Empty
@ ^ [X9: $i,X10: $i,X11: $i > $i] : ( c_Inj0 @ ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) )
@ ^ [X8: $i,X9: ( $i > $i ) > $i,X10: $i > $i] :
( c_setsum
@ ( X0
@ ^ [X11: $i] :
( c_setsum @ X11
@ ( X1
@ ^ [X12: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X13: $i,X14: $i,X15: $i > $i,X16: $i] : c_Empty
@ ^ [X12: $i > ( $i > $i ) > $i] : c_Empty ) )
@ ^ [X11: $i,X12: $i,X13: $i > $i] : ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty ) @ ( c_Inj1 @ c_Empty ) ) )
@ ( c_setsum @ c_Empty
@ ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty )
@ ( X3
@ ^ [X11: ( ( $i > $i > $i ) > $i > $i ) > $i,X12: $i > $i > $i] : c_Empty
@ c_Empty ) ) ) )
@ ( X4
@ ( X3
@ ^ [X8: ( ( $i > $i > $i ) > $i > $i ) > $i,X9: $i > $i > $i] : c_Empty
@ ( c_setsum @ ( c_Inj0 @ c_Empty ) @ c_Empty ) )
@ ^ [X8: $i] : ( c_setsum @ c_Empty @ ( c_Inj0 @ c_Empty ) )
@ ^ [X8: $i] :
( c_setsum @ c_Empty
@ ( c_setsum @ c_Empty
@ ( X5 @ c_Empty @ c_Empty
@ ^ [X9: $i] : c_Empty ) ) )
@ ( X1
@ ^ [X8: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X9: $i,X10: $i,X11: $i > $i,X12: $i] : c_Empty
@ ^ [X8: $i > ( $i > $i ) > $i] : c_Empty ) ) )
= ( X0
@ ^ [X8: $i] :
( X0
@ ^ [X9: $i] : c_Empty
@ ^ [X9: $i,X10: $i,X11: $i > $i] :
( c_setsum
@ ( X1
@ ^ [X12: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X13: $i,X14: $i,X15: $i > $i,X16: $i] : c_Empty
@ ^ [X12: $i > ( $i > $i ) > $i] : c_Empty )
@ ( c_Inj1 @ X10 ) ) )
@ ^ [X8: $i,X9: $i,X10: $i > $i] :
( c_setsum
@ ( X7
@ ( c_setsum @ X9
@ ( X1
@ ^ [X11: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X12: $i,X13: $i,X14: $i > $i,X15: $i] : c_Empty
@ ^ [X11: $i > ( $i > $i ) > $i] : c_Empty ) ) )
@ c_Empty ) ) )
=> ( ! [X4: ( $i > ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i ) > $i,X5: $i,X6: $i,X7: $i] :
( ( X2
@ ^ [X8: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] :
( c_setsum @ c_Empty
@ ( c_setsum
@ ( c_setsum
@ ( X2
@ ^ [X9: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X9: $i,X10: ( $i > $i ) > $i,X11: $i > $i] : c_Empty
@ c_Empty )
@ ( X3
@ ^ [X9: ( ( $i > $i > $i ) > $i > $i ) > $i,X10: $i > $i > $i] : c_Empty
@ c_Empty ) )
@ c_Empty ) )
@ ^ [X8: $i,X9: ( $i > $i ) > $i,X10: $i > $i] :
( c_setsum @ ( c_setsum @ c_Empty @ X7 )
@ ( X1
@ ^ [X11: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X12: $i,X13: $i,X14: $i > $i,X15: $i] :
( X3
@ ^ [X16: ( ( $i > $i > $i ) > $i > $i ) > $i,X17: $i > $i > $i] : ( X14 @ c_Empty )
@ X12 )
@ ^ [X11: $i > ( $i > $i ) > $i] :
( c_Inj1
@ ( X1
@ ^ [X12: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X13: $i,X14: $i,X15: $i > $i,X16: $i] : c_Empty
@ ^ [X12: $i > ( $i > $i ) > $i] : c_Empty ) ) ) )
@ c_Empty )
= ( X4
@ ^ [X8: $i,X9: $i > $i,X10: $i] :
( X3
@ ^ [X11: ( ( $i > $i > $i ) > $i > $i ) > $i,X12: $i > $i > $i] :
( X12
@ ( X1
@ ^ [X13: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X14: $i,X15: $i,X16: $i > $i,X17: $i] :
( X2
@ ^ [X18: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X18: $i,X19: ( $i > $i ) > $i,X20: $i > $i] : c_Empty
@ c_Empty )
@ ^ [X13: $i > ( $i > $i ) > $i] : c_Empty )
@ ( c_Inj0 @ c_Empty ) )
@ ( X9 @ c_Empty ) )
@ ^ [X8: $i > $i] : c_Empty ) )
=> ( ! [X4: ( $i > $i > $i > $i ) > $i,X5: $i,X6: $i,X7: ( $i > $i > $i > $i ) > $i] :
( ( X1
@ ^ [X8: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X9: $i,X10: $i,X11: $i > $i,X12: $i] : X9
@ ^ [X8: $i > ( $i > $i ) > $i] :
( c_setsum @ c_Empty
@ ( c_setsum
@ ( X7
@ ^ [X9: $i,X10: $i,X11: $i] :
( X8 @ c_Empty
@ ^ [X12: $i] : c_Empty ) )
@ ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty )
@ ( X8 @ c_Empty
@ ^ [X9: $i] : c_Empty ) ) ) ) )
= X5 )
=> ( ! [X4: ( ( ( $i > $i ) > $i > $i ) > $i > $i > $i ) > $i > $i > $i,X5: ( ( $i > $i ) > $i ) > $i,X6: $i > $i,X7: $i > ( ( $i > $i ) > $i ) > ( $i > $i ) > $i > $i] :
( ( X1
@ ^ [X8: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X9: $i,X10: $i,X11: $i > $i,X12: $i] :
( c_setsum
@ ( X2
@ ^ [X13: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] :
( c_setsum @ ( c_Inj1 @ c_Empty )
@ ( X2
@ ^ [X14: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X14: $i,X15: ( $i > $i ) > $i,X16: $i > $i] : c_Empty
@ c_Empty ) )
@ ^ [X13: $i,X14: ( $i > $i ) > $i,X15: $i > $i] :
( X2
@ ^ [X16: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] :
( X14
@ ^ [X17: $i] : c_Empty )
@ ^ [X16: $i,X17: ( $i > $i ) > $i,X18: $i > $i] :
( X2
@ ^ [X19: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X19: $i,X20: ( $i > $i ) > $i,X21: $i > $i] : c_Empty
@ c_Empty )
@ ( X14
@ ^ [X16: $i] : c_Empty ) )
@ ( c_Inj0 @ ( X11 @ c_Empty ) ) )
@ X9 )
@ ^ [X8: $i > ( $i > $i ) > $i] :
( X8 @ c_Empty
@ ^ [X9: $i] : c_Empty ) )
= ( X4
@ ^ [X8: ( $i > $i ) > $i > $i,X9: $i,X10: $i] :
( X1
@ ^ [X11: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X12: $i,X13: $i,X14: $i > $i,X15: $i] :
( c_setsum @ ( c_Inj1 @ c_Empty )
@ ( X3
@ ^ [X16: ( ( $i > $i > $i ) > $i > $i ) > $i,X17: $i > $i > $i] :
( X2
@ ^ [X18: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X18: $i,X19: ( $i > $i ) > $i,X20: $i > $i] : c_Empty
@ c_Empty )
@ ( c_Inj1 @ c_Empty ) ) )
@ ^ [X11: $i > ( $i > $i ) > $i] :
( X3
@ ^ [X12: ( ( $i > $i > $i ) > $i > $i ) > $i,X13: $i > $i > $i] :
( c_setsum
@ ( X12
@ ^ [X14: $i > $i > $i,X15: $i] : c_Empty )
@ ( c_setsum @ c_Empty @ c_Empty ) )
@ ( c_setsum @ ( c_Inj1 @ c_Empty ) @ ( c_Inj1 @ c_Empty ) ) ) )
@ ( X3
@ ^ [X8: ( ( $i > $i > $i ) > $i > $i ) > $i,X9: $i > $i > $i] :
( X0
@ ^ [X10: $i] :
( X8
@ ^ [X11: $i > $i > $i,X12: $i] :
( X1
@ ^ [X13: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X14: $i,X15: $i,X16: $i > $i,X17: $i] : c_Empty
@ ^ [X13: $i > ( $i > $i ) > $i] : c_Empty ) )
@ ^ [X10: $i,X11: $i,X12: $i > $i] :
( X0
@ ^ [X13: $i] :
( X0
@ ^ [X14: $i] : c_Empty
@ ^ [X14: $i,X15: $i,X16: $i > $i] : c_Empty )
@ ^ [X13: $i,X14: $i,X15: $i > $i] : ( c_setsum @ c_Empty @ c_Empty ) ) )
@ ( c_setsum @ ( c_Inj1 @ c_Empty )
@ ( X6
@ ( X7 @ c_Empty
@ ^ [X8: $i > $i] : c_Empty
@ ^ [X8: $i] : c_Empty
@ c_Empty ) ) ) )
@ ( X5
@ ^ [X8: $i > $i] : ( c_setsum @ c_Empty @ c_Empty ) ) ) )
=> ( ! [X4: $i,X5: $i > $i,X6: $i > ( ( $i > $i ) > $i ) > $i,X7: ( $i > ( $i > $i ) > $i ) > $i > ( $i > $i ) > $i] :
( ( X0
@ ^ [X8: $i] :
( X3
@ ^ [X9: ( ( $i > $i > $i ) > $i > $i ) > $i,X10: $i > $i > $i] : c_Empty
@ ( c_setsum @ c_Empty
@ ( c_Inj0
@ ( X2
@ ^ [X9: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X9: $i,X10: ( $i > $i ) > $i,X11: $i > $i] : c_Empty
@ c_Empty ) ) ) )
@ ^ [X8: $i,X9: $i,X10: $i > $i] :
( X2
@ ^ [X11: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X11: $i,X12: ( $i > $i ) > $i,X13: $i > $i] :
( c_setsum
@ ( X2
@ ^ [X14: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X14: $i,X15: ( $i > $i ) > $i,X16: $i > $i] : c_Empty
@ ( X12
@ ^ [X14: $i] : c_Empty ) )
@ ( c_Inj1
@ ( X1
@ ^ [X14: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X15: $i,X16: $i,X17: $i > $i,X18: $i] : c_Empty
@ ^ [X14: $i > ( $i > $i ) > $i] : c_Empty ) ) )
@ c_Empty ) )
= ( X2
@ ^ [X8: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] :
( c_setsum
@ ( X8 @ c_Empty
@ ^ [X9: $i > $i,X10: $i] : ( c_Inj1 @ ( c_Inj0 @ c_Empty ) )
@ ( c_setsum @ c_Empty
@ ( X3
@ ^ [X9: ( ( $i > $i > $i ) > $i > $i ) > $i,X10: $i > $i > $i] : c_Empty
@ c_Empty ) )
@ ( c_Inj0 @ ( c_Inj0 @ c_Empty ) ) )
@ ( X1
@ ^ [X9: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X10: $i,X11: $i,X12: $i > $i,X13: $i] : ( c_Inj0 @ c_Empty )
@ ^ [X9: $i > ( $i > $i ) > $i] :
( c_Inj1
@ ( X3
@ ^ [X10: ( ( $i > $i > $i ) > $i > $i ) > $i,X11: $i > $i > $i] : c_Empty
@ c_Empty ) ) ) )
@ ^ [X8: $i,X9: ( $i > $i ) > $i,X10: $i > $i] :
( c_setsum
@ ( X2
@ ^ [X11: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X11: $i,X12: ( $i > $i ) > $i,X13: $i > $i] :
( c_Inj1
@ ( X2
@ ^ [X14: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X14: $i,X15: ( $i > $i ) > $i,X16: $i > $i] : c_Empty
@ c_Empty ) )
@ ( X7
@ ^ [X11: $i,X12: $i > $i] : ( c_setsum @ c_Empty @ c_Empty )
@ ( X2
@ ^ [X11: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : c_Empty
@ ^ [X11: $i,X12: ( $i > $i ) > $i,X13: $i > $i] : c_Empty
@ c_Empty )
@ ^ [X11: $i] : X8 ) )
@ ( X9
@ ^ [X11: $i] :
( c_Inj1
@ ( X0
@ ^ [X12: $i] : c_Empty
@ ^ [X12: $i,X13: $i,X14: $i > $i] : c_Empty ) ) ) )
@ ( X2
@ ^ [X8: $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i] : ( X5 @ ( X5 @ ( c_setsum @ c_Empty @ c_Empty ) ) )
@ ^ [X8: $i,X9: ( $i > $i ) > $i,X10: $i > $i] : c_Empty
@ ( c_setsum @ c_Empty @ c_Empty ) ) ) )
=> ( ! [X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X0
@ ^ [X8: $i] : X8
@ ^ [X8: $i,X9: $i,X10: $i > $i] : ( c_setsum @ ( c_Inj0 @ c_Empty ) @ ( c_Inj0 @ c_Empty ) ) )
= ( c_Inj0 @ c_Empty ) )
=> c_False ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj]) ).
thf(zip_derived_cl226,plain,
! [X15: $i,X16: ( $i > $i > $i > $i ) > $i] :
( ( sk__65
@ ^ [Y0: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,Y1: $i,Y2: $i,Y3: $i > $i,Y4: $i] : Y1
@ ^ [Y0: $i > ( $i > $i ) > $i] :
( c_setsum @ c_Empty
@ ( c_setsum
@ ( X16
@ ^ [Y1: $i,Y2: $i,Y3: $i] :
( Y0 @ c_Empty
@ ^ [Y4: $i] : c_Empty ) )
@ ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty )
@ ( Y0 @ c_Empty
@ ^ [Y1: $i] : c_Empty ) ) ) ) )
= X15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax78,axiom,
! [X0: $i,X1: $i] :
( ( c_setprod @ X0 @ X1 )
= ( c_lam @ X0
@ ^ [X2: $i] : X1 ) ) ).
thf(zip_derived_cl149,plain,
! [X0: $i,X1: $i] :
( ( c_setprod @ X0 @ X1 )
= ( c_lam @ X0
@ ^ [Y0: $i] : X1 ) ),
inference(cnf,[status(esa)],[ax78]) ).
thf(zip_derived_cl29745,plain,
! [X1: $i,X2: $i] :
( ( '#l_lift16585' @ X1 @ X2 )
= X1 ),
define([status(thm)]) ).
thf(zip_derived_cl29745_001,plain,
! [X1: $i,X2: $i] :
( ( '#l_lift16585' @ X1 @ X2 )
= X1 ),
define([status(thm)]) ).
thf(zip_derived_cl226_002,plain,
! [X15: $i,X16: ( $i > $i > $i > $i ) > $i] :
( ( sk__65
@ ^ [Y0: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,Y1: $i,Y2: $i,Y3: $i > $i,Y4: $i] : Y1
@ ^ [Y0: $i > ( $i > $i ) > $i] :
( c_setsum @ c_Empty
@ ( c_setsum
@ ( X16
@ ^ [Y1: $i,Y2: $i,Y3: $i] :
( Y0 @ c_Empty
@ ^ [Y4: $i] : c_Empty ) )
@ ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty )
@ ( Y0 @ c_Empty
@ ^ [Y1: $i] : c_Empty ) ) ) ) )
= X15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29781,plain,
! [X17: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X18: $i,X19: $i,X20: $i > $i,X21: $i] :
( ( '#l_lift16598' @ X17 @ X18 @ X19 @ X20 @ X21 )
= X18 ),
define([status(thm)]) ).
thf(zip_derived_cl226_003,plain,
! [X15: $i,X16: ( $i > $i > $i > $i ) > $i] :
( ( sk__65
@ ^ [Y0: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,Y1: $i,Y2: $i,Y3: $i > $i,Y4: $i] : Y1
@ ^ [Y0: $i > ( $i > $i ) > $i] :
( c_setsum @ c_Empty
@ ( c_setsum
@ ( X16
@ ^ [Y1: $i,Y2: $i,Y3: $i] :
( Y0 @ c_Empty
@ ^ [Y4: $i] : c_Empty ) )
@ ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty )
@ ( Y0 @ c_Empty
@ ^ [Y1: $i] : c_Empty ) ) ) ) )
= X15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29783,plain,
! [X16: ( $i > $i > $i > $i ) > $i,X26: $i > ( $i > $i ) > $i] :
( ( '#l_lift16600' @ X16 @ X26 )
= ( c_setsum @ c_Empty @ ( c_setsum @ ( X16 @ ( '#l_lift16599' @ X26 ) ) @ ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty ) @ ( X26 @ c_Empty @ ( '#l_lift16585' @ c_Empty ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl226_004,plain,
! [X15: $i,X16: ( $i > $i > $i > $i ) > $i] :
( ( sk__65
@ ^ [Y0: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,Y1: $i,Y2: $i,Y3: $i > $i,Y4: $i] : Y1
@ ^ [Y0: $i > ( $i > $i ) > $i] :
( c_setsum @ c_Empty
@ ( c_setsum
@ ( X16
@ ^ [Y1: $i,Y2: $i,Y3: $i] :
( Y0 @ c_Empty
@ ^ [Y4: $i] : c_Empty ) )
@ ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty )
@ ( Y0 @ c_Empty
@ ^ [Y1: $i] : c_Empty ) ) ) ) )
= X15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29782,plain,
! [X22: $i > ( $i > $i ) > $i,X23: $i,X24: $i,X25: $i] :
( ( '#l_lift16599' @ X22 @ X23 @ X24 @ X25 )
= ( X22 @ c_Empty @ ( '#l_lift16585' @ c_Empty ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl29784,plain,
! [X15: $i,X16: ( $i > $i > $i > $i ) > $i] :
( ( sk__65 @ '#l_lift16598' @ ( '#l_lift16600' @ X16 ) )
= X15 ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl226,zip_derived_cl29745,zip_derived_cl29745,zip_derived_cl29781,zip_derived_cl29783,zip_derived_cl29782]) ).
thf(zip_derived_cl227,plain,
~ c_False,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax5,axiom,
( c_not
@ ? [X0: $i] : ( c_In @ X0 @ c_Empty ) ) ).
thf(zip_derived_cl5,plain,
( c_not
@ ( ??
@ ^ [Y0: $i] : ( c_In @ Y0 @ c_Empty ) ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(ax13,axiom,
! [X0: $o] :
( ( c_not @ X0 )
<=> ( X0
=> c_False ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $o] :
( ~ X0
| c_False
| ~ ( c_not @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl29846,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl45,zip_derived_cl2,zip_derived_cl7,zip_derived_cl29784,zip_derived_cl227,zip_derived_cl5,zip_derived_cl26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO854^1 : TPTP v9.2.0. Released v7.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uyZ2dkdJ2w true
% 0.14/0.33 % Computer : n008.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Oct 1 17:53:23 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.34 % Running in HO mode
% 0.54/0.65 % Total configuration time : 828
% 0.54/0.65 % Estimated wc time : 1656
% 0.54/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.84 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.56/1.02 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 150.44/19.56 % Solved by lams/40_noforms.sh.
% 150.44/19.56 % done 953 iterations in 18.759s
% 150.44/19.56 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 150.44/19.56 % SZS output start Refutation
% See solution above
% 150.44/19.57
% 150.44/19.57
% 150.44/19.57 % Terminating...
% 150.76/19.68 % Runner terminated.
% 150.76/19.69 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------