%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV529^1 : 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.m7haS39am0 true
% Computer : n029.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 04:57:48 PM UTC 2025
% Result : Theorem 0.58s 0.93s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 59 ( 15 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 754 ( 14 ~; 9 |; 0 &; 697 @)
% ( 1 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 344 ( 344 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 4 con; 0-2 aty)
% ( 0 !!; 2 ??; 0 @@+; 0 @@-)
% Number of variables : 291 ( 174 ^; 116 !; 1 ?; 291 :)
% Comments :
%------------------------------------------------------------------------------
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(c_Inj0_type,type,
c_Inj0: $i > $i ).
thf(c_not_type,type,
c_not: $o > $o ).
thf(sk__3_type,type,
sk__3: ( $i > $i ) > $i > $o ).
thf(c_False_type,type,
c_False: $o ).
thf(c_binunion_type,type,
c_binunion: $i > $i > $i ).
thf(c_Repl_type,type,
c_Repl: $i > ( $i > $i ) > $i ).
thf(ax70,axiom,
! [X0: $i] :
( ( c_Inj0 @ X0 )
= ( c_Repl @ X0
@ ^ [X1: $i] : ( c_Inj1 @ X1 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( c_Inj0 @ X0 )
= ( c_Repl @ X0
@ ^ [Y0: $i] : ( c_Inj1 @ Y0 ) ) ),
inference(cnf,[status(esa)],[ax70]) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
( ( c_Inj0 @ X0 )
= ( c_Repl @ X0 @ c_Inj1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).
thf(conj,conjecture,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i > $i ) > ( ( $i > $i ) > $i ) > $o,X2: ( ( $i > ( ( $i > $i ) > $i ) > $i ) > $i > $i > ( $i > $i ) > $i > $i ) > $i > ( ( $i > $i ) > $i > $i ) > $o,X3: ( ( $i > $i ) > $i ) > ( $i > $i ) > ( $i > $i ) > $i > $o] :
( ! [X4: $i,X5: $i,X6: $i > ( $i > $i ) > $i,X7: $i] :
( X3
@ ^ [X8: $i > $i] : ( c_Inj0 @ ( X8 @ c_Empty ) )
@ ^ [X8: $i] : X5
@ ^ [X8: $i] :
( X6 @ c_Empty
@ ^ [X9: $i] : c_Empty )
@ ( c_Inj1 @ c_Empty ) )
=> ( ! [X4: $i > ( $i > $i ) > $i > $i > $i,X5: $i,X6: ( ( ( $i > $i ) > $i ) > ( $i > $i ) > $i > $i ) > $i,X7: $i] :
( ( X3
@ ^ [X8: $i > $i] :
( c_Inj1
@ ( c_Inj1
@ ( X6
@ ^ [X9: ( $i > $i ) > $i,X10: $i > $i,X11: $i] : ( c_setsum @ c_Empty @ c_Empty ) ) ) )
@ ^ [X8: $i] : ( c_setsum @ c_Empty @ ( c_Inj1 @ X8 ) )
@ ^ [X8: $i] : c_Empty
@ ( c_Inj0 @ ( c_Inj1 @ c_Empty ) ) )
=> ( c_In @ ( c_Inj1 @ c_Empty ) @ ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty ) @ c_Empty ) ) )
=> ( ! [X4: $i > $i > $i,X5: ( ( $i > $i > $i ) > $i ) > $i,X6: $i > ( $i > $i > $i ) > $i,X7: ( $i > $i > $i > $i ) > $i] :
( X2
@ ^ [X8: $i > ( ( $i > $i ) > $i ) > $i,X9: $i,X10: $i,X11: $i > $i,X12: $i] : ( c_setsum @ ( c_Inj0 @ c_Empty ) @ ( c_Inj0 @ X12 ) )
@ ( c_setsum @ ( c_Inj1 @ ( c_Inj1 @ c_Empty ) ) @ c_Empty )
@ ^ [X8: $i > $i,X9: $i] :
( c_setsum @ X9
@ ( X7
@ ^ [X10: $i,X11: $i,X12: $i] : c_Empty ) ) )
=> ( ! [X4: ( $i > ( $i > $i ) > $i > $i ) > $i,X5: $i,X6: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X7: $i] :
( ( c_In @ ( c_Inj0 @ ( c_Inj1 @ X7 ) )
@ ( X4
@ ^ [X8: $i,X9: $i > $i,X10: $i] : c_Empty ) )
=> ( ( X2
@ ^ [X8: $i > ( ( $i > $i ) > $i ) > $i,X9: $i,X10: $i,X11: $i > $i,X12: $i] : ( c_Inj0 @ ( c_Inj0 @ ( c_setsum @ c_Empty @ ( c_Inj0 @ c_Empty ) ) ) )
@ ( c_setsum
@ ( X4
@ ^ [X8: $i,X9: $i > $i,X10: $i] : c_Empty )
@ c_Empty )
@ ^ [X8: $i > $i,X9: $i] : ( c_Inj1 @ c_Empty ) )
=> ( X2
@ ^ [X8: $i > ( ( $i > $i ) > $i ) > $i,X9: $i,X10: $i,X11: $i > $i,X12: $i] : ( c_Inj0 @ ( c_Inj0 @ c_Empty ) )
@ c_Empty
@ ^ [X8: $i > $i,X9: $i] : ( c_Inj0 @ ( c_Inj0 @ ( c_setsum @ ( c_Inj0 @ c_Empty ) @ c_Empty ) ) ) ) ) )
=> ( ! [X4: $i,X5: ( $i > $i > $i ) > $i > $i,X6: ( $i > $i > $i > $i ) > $i,X7: $i > $i] :
( ( c_In
@ ( X6
@ ^ [X8: $i,X9: $i,X10: $i] : ( c_Inj1 @ X9 ) )
@ ( c_setsum @ ( c_Inj0 @ ( c_Inj1 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) @ ( c_setsum @ ( c_Inj1 @ ( c_setsum @ c_Empty @ c_Empty ) ) @ ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) )
=> ( ( X0
@ ^ [X8: $i] : X8
@ ( c_setsum @ ( c_setsum @ ( c_setsum @ c_Empty @ ( c_setsum @ c_Empty @ c_Empty ) ) @ c_Empty ) @ ( c_Inj1 @ ( c_Inj1 @ c_Empty ) ) ) )
=> ( X1
@ ^ [X8: $i,X9: $i] : ( c_setsum @ ( c_setsum @ ( c_Inj1 @ X9 ) @ ( c_Inj1 @ c_Empty ) ) @ ( c_setsum @ c_Empty @ ( X7 @ ( X7 @ c_Empty ) ) ) )
@ ^ [X8: $i > $i] : c_Empty ) ) )
=> ( ! [X4: $i,X5: $i,X6: $i > $i,X7: $i] :
( ( X1
@ ^ [X8: $i,X9: $i] : X8
@ ^ [X8: $i > $i] : ( c_setsum @ ( c_setsum @ ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) @ c_Empty ) @ ( c_Inj0 @ ( c_Inj0 @ ( c_Inj1 @ c_Empty ) ) ) ) )
=> c_False )
=> ( ! [X4: $i,X5: $i,X6: ( $i > ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i ) > $i > $i,X7: $i > $i] :
( X0
@ ^ [X8: $i] : X8
@ ( c_Inj0 @ c_Empty ) )
=> ( ! [X4: ( $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i,X5: $i > $i > $i,X6: $i > $i > $i > $i,X7: $i] :
( ( X0
@ ^ [X8: $i] : X8
@ ( X6 @ ( c_setsum @ ( c_Inj1 @ ( c_Inj0 @ c_Empty ) ) @ ( X5 @ c_Empty @ c_Empty ) ) @ ( c_setsum @ ( c_setsum @ c_Empty @ ( c_setsum @ c_Empty @ c_Empty ) ) @ ( X6 @ ( c_Inj0 @ c_Empty ) @ ( c_Inj1 @ c_Empty ) @ ( c_setsum @ c_Empty @ c_Empty ) ) )
@ ( X4
@ ^ [X8: $i] : c_Empty
@ ^ [X8: $i > $i,X9: $i] : ( c_setsum @ X9 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) )
=> ( c_In @ ( c_Inj0 @ c_Empty )
@ ( X4
@ ^ [X8: $i] : X8
@ ^ [X8: $i > $i,X9: $i] : c_Empty ) ) )
=> c_False ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i > $i ) > ( ( $i > $i ) > $i ) > $o,X2: ( ( $i > ( ( $i > $i ) > $i ) > $i ) > $i > $i > ( $i > $i ) > $i > $i ) > $i > ( ( $i > $i ) > $i > $i ) > $o,X3: ( ( $i > $i ) > $i ) > ( $i > $i ) > ( $i > $i ) > $i > $o] :
( ! [X4: $i,X5: $i,X6: $i > ( $i > $i ) > $i,X7: $i] :
( X3
@ ^ [X8: $i > $i] : ( c_Inj0 @ ( X8 @ c_Empty ) )
@ ^ [X8: $i] : X5
@ ^ [X8: $i] :
( X6 @ c_Empty
@ ^ [X9: $i] : c_Empty )
@ ( c_Inj1 @ c_Empty ) )
=> ( ! [X4: $i > ( $i > $i ) > $i > $i > $i,X5: $i,X6: ( ( ( $i > $i ) > $i ) > ( $i > $i ) > $i > $i ) > $i,X7: $i] :
( ( X3
@ ^ [X8: $i > $i] :
( c_Inj1
@ ( c_Inj1
@ ( X6
@ ^ [X9: ( $i > $i ) > $i,X10: $i > $i,X11: $i] : ( c_setsum @ c_Empty @ c_Empty ) ) ) )
@ ^ [X8: $i] : ( c_setsum @ c_Empty @ ( c_Inj1 @ X8 ) )
@ ^ [X8: $i] : c_Empty
@ ( c_Inj0 @ ( c_Inj1 @ c_Empty ) ) )
=> ( c_In @ ( c_Inj1 @ c_Empty ) @ ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty ) @ c_Empty ) ) )
=> ( ! [X4: $i > $i > $i,X5: ( ( $i > $i > $i ) > $i ) > $i,X6: $i > ( $i > $i > $i ) > $i,X7: ( $i > $i > $i > $i ) > $i] :
( X2
@ ^ [X8: $i > ( ( $i > $i ) > $i ) > $i,X9: $i,X10: $i,X11: $i > $i,X12: $i] : ( c_setsum @ ( c_Inj0 @ c_Empty ) @ ( c_Inj0 @ X12 ) )
@ ( c_setsum @ ( c_Inj1 @ ( c_Inj1 @ c_Empty ) ) @ c_Empty )
@ ^ [X8: $i > $i,X9: $i] :
( c_setsum @ X9
@ ( X7
@ ^ [X10: $i,X11: $i,X12: $i] : c_Empty ) ) )
=> ( ! [X4: ( $i > ( $i > $i ) > $i > $i ) > $i,X5: $i,X6: $i > ( ( $i > $i ) > $i > $i ) > $i > $i,X7: $i] :
( ( c_In @ ( c_Inj0 @ ( c_Inj1 @ X7 ) )
@ ( X4
@ ^ [X8: $i,X9: $i > $i,X10: $i] : c_Empty ) )
=> ( ( X2
@ ^ [X8: $i > ( ( $i > $i ) > $i ) > $i,X9: $i,X10: $i,X11: $i > $i,X12: $i] : ( c_Inj0 @ ( c_Inj0 @ ( c_setsum @ c_Empty @ ( c_Inj0 @ c_Empty ) ) ) )
@ ( c_setsum
@ ( X4
@ ^ [X8: $i,X9: $i > $i,X10: $i] : c_Empty )
@ c_Empty )
@ ^ [X8: $i > $i,X9: $i] : ( c_Inj1 @ c_Empty ) )
=> ( X2
@ ^ [X8: $i > ( ( $i > $i ) > $i ) > $i,X9: $i,X10: $i,X11: $i > $i,X12: $i] : ( c_Inj0 @ ( c_Inj0 @ c_Empty ) )
@ c_Empty
@ ^ [X8: $i > $i,X9: $i] : ( c_Inj0 @ ( c_Inj0 @ ( c_setsum @ ( c_Inj0 @ c_Empty ) @ c_Empty ) ) ) ) ) )
=> ( ! [X4: $i,X5: ( $i > $i > $i ) > $i > $i,X6: ( $i > $i > $i > $i ) > $i,X7: $i > $i] :
( ( c_In
@ ( X6
@ ^ [X8: $i,X9: $i,X10: $i] : ( c_Inj1 @ X9 ) )
@ ( c_setsum @ ( c_Inj0 @ ( c_Inj1 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) @ ( c_setsum @ ( c_Inj1 @ ( c_setsum @ c_Empty @ c_Empty ) ) @ ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) )
=> ( ( X0
@ ^ [X8: $i] : X8
@ ( c_setsum @ ( c_setsum @ ( c_setsum @ c_Empty @ ( c_setsum @ c_Empty @ c_Empty ) ) @ c_Empty ) @ ( c_Inj1 @ ( c_Inj1 @ c_Empty ) ) ) )
=> ( X1
@ ^ [X8: $i,X9: $i] : ( c_setsum @ ( c_setsum @ ( c_Inj1 @ X9 ) @ ( c_Inj1 @ c_Empty ) ) @ ( c_setsum @ c_Empty @ ( X7 @ ( X7 @ c_Empty ) ) ) )
@ ^ [X8: $i > $i] : c_Empty ) ) )
=> ( ! [X4: $i,X5: $i,X6: $i > $i,X7: $i] :
( ( X1
@ ^ [X8: $i,X9: $i] : X8
@ ^ [X8: $i > $i] : ( c_setsum @ ( c_setsum @ ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) @ c_Empty ) @ ( c_Inj0 @ ( c_Inj0 @ ( c_Inj1 @ c_Empty ) ) ) ) )
=> c_False )
=> ( ! [X4: $i,X5: $i,X6: ( $i > ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i ) > $i > $i,X7: $i > $i] :
( X0
@ ^ [X8: $i] : X8
@ ( c_Inj0 @ c_Empty ) )
=> ( ! [X4: ( $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i,X5: $i > $i > $i,X6: $i > $i > $i > $i,X7: $i] :
( ( X0
@ ^ [X8: $i] : X8
@ ( X6 @ ( c_setsum @ ( c_Inj1 @ ( c_Inj0 @ c_Empty ) ) @ ( X5 @ c_Empty @ c_Empty ) ) @ ( c_setsum @ ( c_setsum @ c_Empty @ ( c_setsum @ c_Empty @ c_Empty ) ) @ ( X6 @ ( c_Inj0 @ c_Empty ) @ ( c_Inj1 @ c_Empty ) @ ( c_setsum @ c_Empty @ c_Empty ) ) )
@ ( X4
@ ^ [X8: $i] : c_Empty
@ ^ [X8: $i > $i,X9: $i] : ( c_setsum @ X9 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) )
=> ( c_In @ ( c_Inj0 @ c_Empty )
@ ( X4
@ ^ [X8: $i] : X8
@ ^ [X8: $i > $i,X9: $i] : c_Empty ) ) )
=> c_False ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj]) ).
thf(zip_derived_cl18,plain,
! [X6: ( $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i,X7: $i > $i > $i > $i,X8: $i > $i > $i] :
( ( c_In @ ( c_Inj0 @ c_Empty )
@ ( X6
@ ^ [Y0: $i] : Y0
@ ^ [Y0: $i > $i,Y1: $i] : c_Empty ) )
| ~ ( sk__3
@ ^ [Y0: $i] : Y0
@ ( X7 @ ( c_setsum @ ( c_Inj1 @ ( c_Inj0 @ c_Empty ) ) @ ( X8 @ c_Empty @ c_Empty ) ) @ ( c_setsum @ ( c_setsum @ c_Empty @ ( c_setsum @ c_Empty @ c_Empty ) ) @ ( X7 @ ( c_Inj0 @ c_Empty ) @ ( c_Inj1 @ c_Empty ) @ ( c_setsum @ c_Empty @ c_Empty ) ) )
@ ( X6
@ ^ [Y0: $i] : c_Empty
@ ^ [Y0: $i > $i,Y1: $i] : ( c_setsum @ Y1 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24_001,plain,
! [X0: $i] :
( ( c_Inj0 @ X0 )
= ( c_Repl @ X0 @ c_Inj1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl24_002,plain,
! [X0: $i] :
( ( c_Inj0 @ X0 )
= ( c_Repl @ X0 @ c_Inj1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).
thf(ax73,axiom,
! [X0: $i,X1: $i] :
( ( c_setsum @ X0 @ X1 )
= ( c_binunion
@ ( c_Repl @ X0
@ ^ [X2: $i] : ( c_Inj0 @ X2 ) )
@ ( c_Repl @ X1
@ ^ [X2: $i] : ( c_Inj1 @ X2 ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( c_setsum @ X0 @ X1 )
= ( c_binunion
@ ( c_Repl @ X0
@ ^ [Y0: $i] : ( c_Inj0 @ Y0 ) )
@ ( c_Repl @ X1
@ ^ [Y0: $i] : ( c_Inj1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[ax73]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i] :
( ( c_setsum @ X0 @ X1 )
= ( c_binunion @ ( c_Repl @ X0 @ c_Inj0 ) @ ( c_Repl @ X1 @ c_Inj1 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl33_003,plain,
! [X0: $i,X1: $i] :
( ( c_setsum @ X0 @ X1 )
= ( c_binunion @ ( c_Repl @ X0 @ c_Inj0 ) @ ( c_Repl @ X1 @ c_Inj1 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl33_004,plain,
! [X0: $i,X1: $i] :
( ( c_setsum @ X0 @ X1 )
= ( c_binunion @ ( c_Repl @ X0 @ c_Inj0 ) @ ( c_Repl @ X1 @ c_Inj1 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl24_005,plain,
! [X0: $i] :
( ( c_Inj0 @ X0 )
= ( c_Repl @ X0 @ c_Inj1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl33_006,plain,
! [X0: $i,X1: $i] :
( ( c_setsum @ X0 @ X1 )
= ( c_binunion @ ( c_Repl @ X0 @ c_Inj0 ) @ ( c_Repl @ X1 @ c_Inj1 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl33_007,plain,
! [X0: $i,X1: $i] :
( ( c_setsum @ X0 @ X1 )
= ( c_binunion @ ( c_Repl @ X0 @ c_Inj0 ) @ ( c_Repl @ X1 @ c_Inj1 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl33_008,plain,
! [X0: $i,X1: $i] :
( ( c_setsum @ X0 @ X1 )
= ( c_binunion @ ( c_Repl @ X0 @ c_Inj0 ) @ ( c_Repl @ X1 @ c_Inj1 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl81,plain,
! [X6: ( $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i,X7: $i > $i > $i > $i,X8: $i > $i > $i] :
( ( c_In @ ( c_Repl @ c_Empty @ c_Inj1 )
@ ( X6
@ ^ [Y0: $i] : Y0
@ ^ [Y0: $i > $i,Y1: $i] : c_Empty ) )
| ~ ( sk__3
@ ^ [Y0: $i] : Y0
@ ( X7 @ ( c_binunion @ ( c_Repl @ ( c_Inj1 @ ( c_Repl @ c_Empty @ c_Inj1 ) ) @ c_Inj0 ) @ ( c_Repl @ ( X8 @ c_Empty @ c_Empty ) @ c_Inj1 ) ) @ ( c_binunion @ ( c_Repl @ ( c_binunion @ ( c_Repl @ c_Empty @ c_Inj0 ) @ ( c_Repl @ ( c_binunion @ ( c_Repl @ c_Empty @ c_Inj0 ) @ ( c_Repl @ c_Empty @ c_Inj1 ) ) @ c_Inj1 ) ) @ c_Inj0 ) @ ( c_Repl @ ( X7 @ ( c_Repl @ c_Empty @ c_Inj1 ) @ ( c_Inj1 @ c_Empty ) @ ( c_binunion @ ( c_Repl @ c_Empty @ c_Inj0 ) @ ( c_Repl @ c_Empty @ c_Inj1 ) ) ) @ c_Inj1 ) )
@ ( X6
@ ^ [Y0: $i] : c_Empty
@ ^ [Y0: $i > $i,Y1: $i] : ( c_setsum @ Y1 @ ( c_binunion @ ( c_Repl @ c_Empty @ c_Inj0 ) @ ( c_Repl @ c_Empty @ c_Inj1 ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl24,zip_derived_cl24,zip_derived_cl33,zip_derived_cl33,zip_derived_cl33,zip_derived_cl24,zip_derived_cl33,zip_derived_cl33,zip_derived_cl33]) ).
thf(zip_derived_cl82,plain,
! [X6: ( $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i,X7: $i > $i > $i > $i,X8: $i] :
( ( c_In @ ( c_Repl @ c_Empty @ c_Inj1 )
@ ( X6
@ ^ [Y0: $i] : Y0
@ ^ [Y0: $i > $i,Y1: $i] : c_Empty ) )
| ~ ( sk__3
@ ^ [Y0: $i] : Y0
@ ( X7
@ ( c_binunion @ ( c_Repl @ ( c_Inj1 @ ( c_Repl @ c_Empty @ c_Inj1 ) ) @ c_Inj0 )
@ ( c_Repl
@ ( ^ [Y0: $i,Y1: $i] : X8
@ c_Empty
@ c_Empty )
@ c_Inj1 ) )
@ ( c_binunion @ ( c_Repl @ ( c_binunion @ ( c_Repl @ c_Empty @ c_Inj0 ) @ ( c_Repl @ ( c_binunion @ ( c_Repl @ c_Empty @ c_Inj0 ) @ ( c_Repl @ c_Empty @ c_Inj1 ) ) @ c_Inj1 ) ) @ c_Inj0 ) @ ( c_Repl @ ( X7 @ ( c_Repl @ c_Empty @ c_Inj1 ) @ ( c_Inj1 @ c_Empty ) @ ( c_binunion @ ( c_Repl @ c_Empty @ c_Inj0 ) @ ( c_Repl @ c_Empty @ c_Inj1 ) ) ) @ c_Inj1 ) )
@ ( X6
@ ^ [Y0: $i] : c_Empty
@ ^ [Y0: $i > $i,Y1: $i] : ( c_setsum @ Y1 @ ( c_binunion @ ( c_Repl @ c_Empty @ c_Inj0 ) @ ( c_Repl @ c_Empty @ c_Inj1 ) ) ) ) ) ) ),
inference(prune_arg_fun,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl83,plain,
! [X6: ( $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i,X7: $i > $i > $i > $i,X8: $i] :
( ( c_In @ ( c_Repl @ c_Empty @ c_Inj1 )
@ ( X6
@ ^ [Y0: $i] : Y0
@ ^ [Y0: $i > $i,Y1: $i] : c_Empty ) )
| ~ ( sk__3
@ ^ [Y0: $i] : Y0
@ ( X7 @ ( c_binunion @ ( c_Repl @ ( c_Inj1 @ ( c_Repl @ c_Empty @ c_Inj1 ) ) @ c_Inj0 ) @ ( c_Repl @ X8 @ c_Inj1 ) ) @ ( c_binunion @ ( c_Repl @ ( c_binunion @ ( c_Repl @ c_Empty @ c_Inj0 ) @ ( c_Repl @ ( c_binunion @ ( c_Repl @ c_Empty @ c_Inj0 ) @ ( c_Repl @ c_Empty @ c_Inj1 ) ) @ c_Inj1 ) ) @ c_Inj0 ) @ ( c_Repl @ ( X7 @ ( c_Repl @ c_Empty @ c_Inj1 ) @ ( c_Inj1 @ c_Empty ) @ ( c_binunion @ ( c_Repl @ c_Empty @ c_Inj0 ) @ ( c_Repl @ c_Empty @ c_Inj1 ) ) ) @ c_Inj1 ) )
@ ( X6
@ ^ [Y0: $i] : c_Empty
@ ^ [Y0: $i > $i,Y1: $i] : ( c_setsum @ Y1 @ ( c_binunion @ ( c_Repl @ c_Empty @ c_Inj0 ) @ ( c_Repl @ c_Empty @ c_Inj1 ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl112,plain,
! [X0: ( $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i] :
( ~ ( sk__3
@ ^ [Y0: $i] : Y0
@ ( c_Repl @ c_Empty @ c_Inj1 ) )
| ( c_In @ ( c_Repl @ c_Empty @ c_Inj1 )
@ ( ^ [Y0: $i > $i,Y1: ( $i > $i ) > $i > $i] : ( Y0 @ ( X0 @ Y0 @ Y1 ) )
@ ^ [Y0: $i] : Y0
@ ^ [Y0: $i > $i,Y1: $i] : c_Empty ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl83]) ).
thf(zip_derived_cl122,plain,
! [X0: ( $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i] :
( ~ ( sk__3
@ ^ [Y0: $i] : Y0
@ ( c_Repl @ c_Empty @ c_Inj1 ) )
| ( c_In @ ( c_Repl @ c_Empty @ c_Inj1 )
@ ( X0
@ ^ [Y0: $i] : Y0
@ ^ [Y0: $i > $i,Y1: $i] : c_Empty ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl16,plain,
( sk__3
@ ^ [Y0: $i] : Y0
@ ( c_Inj0 @ c_Empty ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24_009,plain,
! [X0: $i] :
( ( c_Inj0 @ X0 )
= ( c_Repl @ X0 @ c_Inj1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl28,plain,
( sk__3
@ ^ [Y0: $i] : Y0
@ ( c_Repl @ c_Empty @ c_Inj1 ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl24]) ).
thf(zip_derived_cl123,plain,
! [X0: ( $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i] :
( c_In @ ( c_Repl @ c_Empty @ c_Inj1 )
@ ( X0
@ ^ [Y0: $i] : Y0
@ ^ [Y0: $i > $i,Y1: $i] : c_Empty ) ),
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl28]) ).
thf(zip_derived_cl124,plain,
! [X0: $i] :
( c_In @ ( c_Repl @ c_Empty @ c_Inj1 )
@ ( ^ [Y0: $i > $i,Y1: ( $i > $i ) > $i > $i] : X0
@ ^ [Y0: $i] : Y0
@ ^ [Y0: $i > $i,Y1: $i] : c_Empty ) ),
inference(prune_arg_fun,[status(thm)],[zip_derived_cl123]) ).
thf(zip_derived_cl125,plain,
! [X0: $i] : ( c_In @ ( c_Repl @ c_Empty @ c_Inj1 ) @ X0 ),
inference(ho_norm,[status(thm)],[zip_derived_cl124]) ).
thf(ax5,axiom,
( c_not
@ ? [X0: $i] : ( c_In @ X0 @ c_Empty ) ) ).
thf(zip_derived_cl0,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_cl3,plain,
! [X0: $o] :
( ~ X0
| c_False
| ~ ( c_not @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl17,plain,
~ c_False,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25,plain,
! [X0: $o] :
( ~ X0
| ~ ( c_not @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl17]) ).
thf(zip_derived_cl29,plain,
~ ( ??
@ ^ [Y0: $i] : ( c_In @ Y0 @ c_Empty ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl25]) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
~ ( c_In @ X0 @ c_Empty ),
inference(cnf_otf,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl130,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEV529^1 : TPTP v9.2.0. Released v7.5.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.m7haS39am0 true
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 15:39:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.56/0.67 % Total configuration time : 828
% 0.56/0.67 % Estimated wc time : 1656
% 0.56/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.81 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.84 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.93 % Solved by lams/40_c_ic.sh.
% 0.58/0.93 % done 31 iterations in 0.142s
% 0.58/0.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.93 % SZS output start Refutation
% See solution above
% 0.58/0.93
% 0.58/0.93
% 0.58/0.93 % Terminating...
% 1.72/0.99 % Runner terminated.
% 1.72/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------