TSTP Solution File: SEU696^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU696^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hnw9o50eVi true
% Computer : n005.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 19:16:18 EDT 2023
% Result : Theorem 64.71s 8.91s
% Output : Refutation 64.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 39
% Syntax : Number of formulae : 73 ( 28 unt; 17 typ; 0 def)
% Number of atoms : 242 ( 101 equ; 0 cnn)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 944 ( 45 ~; 51 |; 0 &; 789 @)
% ( 0 <=>; 59 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 66 ( 66 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 8 con; 0-4 aty)
% Number of variables : 237 ( 59 ^; 178 !; 0 ?; 237 :)
% Comments :
%------------------------------------------------------------------------------
thf(app_type,type,
app: $o ).
thf(sk__21_type,type,
sk__21: $i ).
thf(sk__18_type,type,
sk__18: ( $i > $i ) > $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(lamp_type,type,
lamp: $o ).
thf(func_type,type,
func: $i > $i > $i > $o ).
thf(lam_type,type,
lam: $i > $i > ( $i > $i ) > $i ).
thf(sk__19_type,type,
sk__19: ( $i > $i ) > $i > $i > $i ).
thf(funcext_type,type,
funcext: $o ).
thf(sk__20_type,type,
sk__20: $i ).
thf('#l_lift8958_type',type,
'#l_lift8958': ( $i > $i ) > $i > $i > $o ).
thf('#l_lift8957_type',type,
'#l_lift8957': $i > $i > $o ).
thf(sk__23_type,type,
sk__23: $i > $i > $i > $i > $i ).
thf(ap_type,type,
ap: $i > $i > $i > $i > $i ).
thf(dpsetconstr_type,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(beta1_type,type,
beta1: $o ).
thf(sk__22_type,type,
sk__22: $i ).
thf(beta1,axiom,
( beta1
= ( ! [A: $i,B: $i,Xf: $i > $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ ( Xf @ Xx ) @ B ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( ap @ A @ B
@ ( lam @ A @ B
@ ^ [Xy: $i] : ( Xf @ Xy ) )
@ Xx )
= ( Xf @ Xx ) ) ) ) ) ) ).
thf('0',plain,
( beta1
= ( ! [X4: $i,X6: $i,X8: $i > $i] :
( ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( in @ ( X8 @ X10 ) @ X6 ) )
=> ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ( ( ap @ X4 @ X6
@ ( lam @ X4 @ X6
@ ^ [V_1: $i] : ( X8 @ V_1 ) )
@ X12 )
= ( X8 @ X12 ) ) ) ) ) ),
define([status(thm)]) ).
thf(funcext,axiom,
( funcext
= ( ! [A: $i,B: $i,Xf: $i] :
( ( func @ A @ B @ Xf )
=> ! [Xg: $i] :
( ( func @ A @ B @ Xg )
=> ( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( ap @ A @ B @ Xf @ Xx )
= ( ap @ A @ B @ Xg @ Xx ) ) )
=> ( Xf = Xg ) ) ) ) ) ) ).
thf('1',plain,
( funcext
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( func @ X4 @ X6 @ X8 )
=> ! [X10: $i] :
( ( func @ X4 @ X6 @ X10 )
=> ( ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ( ( ap @ X4 @ X6 @ X8 @ X12 )
= ( ap @ X4 @ X6 @ X10 @ X12 ) ) )
=> ( X8 = X10 ) ) ) ) ) ),
define([status(thm)]) ).
thf(lamp,axiom,
( lamp
= ( ! [A: $i,B: $i,Xf: $i > $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ ( Xf @ Xx ) @ B ) )
=> ( func @ A @ B
@ ( lam @ A @ B
@ ^ [Xx: $i] : ( Xf @ Xx ) ) ) ) ) ) ).
thf('2',plain,
( lamp
= ( ! [X4: $i,X6: $i,X8: $i > $i] :
( ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( in @ ( X8 @ X10 ) @ X6 ) )
=> ( func @ X4 @ X6
@ ( lam @ X4 @ X6
@ ^ [V_1: $i] : ( X8 @ V_1 ) ) ) ) ) ),
define([status(thm)]) ).
thf(lam,axiom,
( lam
= ( ^ [A: $i,B: $i,Xf: $i > $i] :
( dpsetconstr @ A @ B
@ ^ [Xx: $i,Xy: $i] :
( ( Xf @ Xx )
= Xy ) ) ) ) ).
thf('3',plain,
( lam
= ( ^ [A: $i,B: $i,Xf: $i > $i] :
( dpsetconstr @ A @ B
@ ^ [Xx: $i,Xy: $i] :
( ( Xf @ Xx )
= Xy ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[lam]) ).
thf('4',plain,
( lam
= ( ^ [V_1: $i,V_2: $i,V_3: $i > $i] :
( dpsetconstr @ V_1 @ V_2
@ ^ [V_4: $i,V_5: $i] :
( ( V_3 @ V_4 )
= V_5 ) ) ) ),
define([status(thm)]) ).
thf(app,axiom,
( app
= ( ! [A: $i,B: $i,Xf: $i] :
( ( func @ A @ B @ Xf )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ ( ap @ A @ B @ Xf @ Xx ) @ B ) ) ) ) ) ).
thf('5',plain,
( app
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( func @ X4 @ X6 @ X8 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( in @ ( ap @ X4 @ X6 @ X8 @ X10 ) @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(eta1,conjecture,
( app
=> ( lamp
=> ( funcext
=> ( beta1
=> ! [A: $i,B: $i,Xf: $i] :
( ( func @ A @ B @ Xf )
=> ( ( lam @ A @ B
@ ^ [Xx: $i] : ( ap @ A @ B @ Xf @ Xx ) )
= Xf ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( func @ X4 @ X6 @ X8 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( in @ ( ap @ X4 @ X6 @ X8 @ X10 ) @ X6 ) ) )
=> ( ! [X12: $i,X14: $i,X16: $i > $i] :
( ! [X18: $i] :
( ( in @ X18 @ X12 )
=> ( in @ ( X16 @ X18 ) @ X14 ) )
=> ( func @ X12 @ X14
@ ( dpsetconstr @ X12 @ X14
@ ^ [V_1: $i,V_2: $i] :
( ( X16 @ V_1 )
= V_2 ) ) ) )
=> ( ! [X20: $i,X22: $i,X24: $i] :
( ( func @ X20 @ X22 @ X24 )
=> ! [X26: $i] :
( ( func @ X20 @ X22 @ X26 )
=> ( ! [X28: $i] :
( ( in @ X28 @ X20 )
=> ( ( ap @ X20 @ X22 @ X24 @ X28 )
= ( ap @ X20 @ X22 @ X26 @ X28 ) ) )
=> ( X24 = X26 ) ) ) )
=> ( ! [X30: $i,X32: $i,X34: $i > $i] :
( ! [X36: $i] :
( ( in @ X36 @ X30 )
=> ( in @ ( X34 @ X36 ) @ X32 ) )
=> ! [X38: $i] :
( ( in @ X38 @ X30 )
=> ( ( ap @ X30 @ X32
@ ( dpsetconstr @ X30 @ X32
@ ^ [V_3: $i,V_4: $i] :
( ( X34 @ V_3 )
= V_4 ) )
@ X38 )
= ( X34 @ X38 ) ) ) )
=> ! [X40: $i,X42: $i,X44: $i] :
( ( func @ X40 @ X42 @ X44 )
=> ( ( dpsetconstr @ X40 @ X42
@ ^ [V_5: $i,V_6: $i] :
( ( ap @ X40 @ X42 @ X44 @ V_5 )
= V_6 ) )
= X44 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( func @ X4 @ X6 @ X8 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( in @ ( ap @ X4 @ X6 @ X8 @ X10 ) @ X6 ) ) )
=> ( ! [X12: $i,X14: $i,X16: $i > $i] :
( ! [X18: $i] :
( ( in @ X18 @ X12 )
=> ( in @ ( X16 @ X18 ) @ X14 ) )
=> ( func @ X12 @ X14
@ ( dpsetconstr @ X12 @ X14
@ ^ [V_1: $i,V_2: $i] :
( ( X16 @ V_1 )
= V_2 ) ) ) )
=> ( ! [X20: $i,X22: $i,X24: $i] :
( ( func @ X20 @ X22 @ X24 )
=> ! [X26: $i] :
( ( func @ X20 @ X22 @ X26 )
=> ( ! [X28: $i] :
( ( in @ X28 @ X20 )
=> ( ( ap @ X20 @ X22 @ X24 @ X28 )
= ( ap @ X20 @ X22 @ X26 @ X28 ) ) )
=> ( X24 = X26 ) ) ) )
=> ( ! [X30: $i,X32: $i,X34: $i > $i] :
( ! [X36: $i] :
( ( in @ X36 @ X30 )
=> ( in @ ( X34 @ X36 ) @ X32 ) )
=> ! [X38: $i] :
( ( in @ X38 @ X30 )
=> ( ( ap @ X30 @ X32
@ ( dpsetconstr @ X30 @ X32
@ ^ [V_3: $i,V_4: $i] :
( ( X34 @ V_3 )
= V_4 ) )
@ X38 )
= ( X34 @ X38 ) ) ) )
=> ! [X40: $i,X42: $i,X44: $i] :
( ( func @ X40 @ X42 @ X44 )
=> ( ( dpsetconstr @ X40 @ X42
@ ^ [V_5: $i,V_6: $i] :
( ( ap @ X40 @ X42 @ X44 @ V_5 )
= V_6 ) )
= X44 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
func @ sk__20 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( func @ X4 @ X5 @ X6 )
| ( X7 = X6 )
| ( ( ap @ X4 @ X5 @ X7 @ ( sk__23 @ X6 @ X7 @ X5 @ X4 ) )
!= ( ap @ X4 @ X5 @ X6 @ ( sk__23 @ X6 @ X7 @ X5 @ X4 ) ) )
| ~ ( func @ X4 @ X5 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3732,plain,
! [X8: $i,X9: $i,X10: $i > $i,X11: $i] :
( ~ ( in @ X8 @ X9 )
| ( ( ap @ X9 @ X11
@ ( dpsetconstr @ X9 @ X11
@ ^ [Y0: $i] :
( $i
= ( X10 @ Y0 ) ) )
@ X8 )
= ( X10 @ X8 ) )
| ( in @ ( sk__19 @ X10 @ X11 @ X9 ) @ X9 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3732_001,plain,
! [X8: $i,X9: $i,X10: $i > $i,X11: $i] :
( ~ ( in @ X8 @ X9 )
| ( ( ap @ X9 @ X11
@ ( dpsetconstr @ X9 @ X11
@ ^ [Y0: $i] :
( $i
= ( X10 @ Y0 ) ) )
@ X8 )
= ( X10 @ X8 ) )
| ( in @ ( sk__19 @ X10 @ X11 @ X9 ) @ X9 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3729,plain,
( ( dpsetconstr @ sk__20 @ sk__21
@ ^ [Y0: $i] :
( $i
= ( ap @ sk__20 @ sk__21 @ sk__22 @ Y0 ) ) )
!= sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3730,plain,
! [X1: $i,X2: $i] :
( ( '#l_lift8957' @ X1 @ X2 )
= ( ( ap @ sk__20 @ sk__21 @ sk__22 @ X1 )
= X2 ) ),
define([status(thm)]) ).
thf(zip_derived_cl3734,plain,
( ( '#l_lift8958' @ ( ap @ sk__20 @ sk__21 @ sk__22 ) )
= '#l_lift8957' ),
define([status(thm)]) ).
thf(zip_derived_cl3732_002,plain,
! [X8: $i,X9: $i,X10: $i > $i,X11: $i] :
( ~ ( in @ X8 @ X9 )
| ( ( ap @ X9 @ X11
@ ( dpsetconstr @ X9 @ X11
@ ^ [Y0: $i] :
( $i
= ( X10 @ Y0 ) ) )
@ X8 )
= ( X10 @ X8 ) )
| ( in @ ( sk__19 @ X10 @ X11 @ X9 ) @ X9 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3733,plain,
! [X10: $i > $i,X12: $i,X13: $i] :
( ( '#l_lift8958' @ X10 @ X12 @ X13 )
= ( ( X10 @ X12 )
= X13 ) ),
define([status(thm)]) ).
thf(zip_derived_cl3735,plain,
! [X8: $i,X9: $i,X10: $i > $i,X11: $i] :
( ~ ( in @ X8 @ X9 )
| ( ( ap @ X9 @ X11 @ ( dpsetconstr @ X9 @ X11 @ ( '#l_lift8958' @ X10 ) ) @ X8 )
= ( X10 @ X8 ) )
| ( in @ ( sk__19 @ X10 @ X11 @ X9 ) @ X9 ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl3732,zip_derived_cl3734,zip_derived_cl3733]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( ap @ X1 @ X2 @ X3 @ X0 ) @ X2 )
| ~ ( func @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3734_003,plain,
( ( '#l_lift8958' @ ( ap @ sk__20 @ sk__21 @ sk__22 ) )
= '#l_lift8957' ),
define([status(thm)]) ).
thf(zip_derived_cl3729_004,plain,
( ( dpsetconstr @ sk__20 @ sk__21
@ ^ [Y0: $i] :
( $i
= ( ap @ sk__20 @ sk__21 @ sk__22 @ Y0 ) ) )
!= sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3730_005,plain,
! [X1: $i,X2: $i] :
( ( '#l_lift8957' @ X1 @ X2 )
= ( ( ap @ sk__20 @ sk__21 @ sk__22 @ X1 )
= X2 ) ),
define([status(thm)]) ).
thf(zip_derived_cl3731,plain,
( ( dpsetconstr @ sk__20 @ sk__21 @ '#l_lift8957' )
!= sk__22 ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl3729,zip_derived_cl3730]) ).
thf(zip_derived_cl6,plain,
! [X8: $i,X9: $i,X10: $i > $i,X11: $i] :
( ~ ( in @ X8 @ X9 )
| ( ( ap @ X9 @ X11
@ ( dpsetconstr @ X9 @ X11
@ ^ [Y0: $i,Y1: $i] :
( ( X10 @ Y0 )
= Y1 ) )
@ X8 )
= ( X10 @ X8 ) )
| ~ ( in @ ( X10 @ ( sk__19 @ X10 @ X11 @ X9 ) ) @ X11 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl34,plain,
! [X8: $i,X9: $i,X10: $i > $i,X11: $i] :
( ~ ( in @ X8 @ X9 )
| ( ( ap @ X9 @ X11
@ ( dpsetconstr @ X9 @ X11
@ ^ [Y0: $i] :
( $i
= ( X10 @ Y0 ) ) )
@ X8 )
= ( X10 @ X8 ) )
| ~ ( in @ ( X10 @ ( sk__19 @ X10 @ X11 @ X9 ) ) @ X11 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl4_006,plain,
func @ sk__20 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1_007,plain,
! [X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( func @ X4 @ X5 @ X6 )
| ( X7 = X6 )
| ( ( ap @ X4 @ X5 @ X7 @ ( sk__23 @ X6 @ X7 @ X5 @ X4 ) )
!= ( ap @ X4 @ X5 @ X6 @ ( sk__23 @ X6 @ X7 @ X5 @ X4 ) ) )
| ~ ( func @ X4 @ X5 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ~ ( func @ sk__20 @ sk__21 @ X0 )
| ( ( ap @ sk__20 @ sk__21 @ X0 @ ( sk__23 @ sk__22 @ X0 @ sk__21 @ sk__20 ) )
!= ( ap @ sk__20 @ sk__21 @ sk__22 @ ( sk__23 @ sk__22 @ X0 @ sk__21 @ sk__20 ) ) )
| ( X0 = sk__22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl36,plain,
! [X0: $i > $i] :
( ( ( X0
@ ( sk__23 @ sk__22
@ ( dpsetconstr @ sk__20 @ sk__21
@ ^ [Y0: $i] :
( $i
= ( X0 @ Y0 ) ) )
@ sk__21
@ sk__20 ) )
!= ( ap @ sk__20 @ sk__21 @ sk__22
@ ( sk__23 @ sk__22
@ ( dpsetconstr @ sk__20 @ sk__21
@ ^ [Y0: $i] :
( $i
= ( X0 @ Y0 ) ) )
@ sk__21
@ sk__20 ) ) )
| ~ ( in @ ( X0 @ ( sk__19 @ X0 @ sk__21 @ sk__20 ) ) @ sk__21 )
| ~ ( in
@ ( sk__23 @ sk__22
@ ( dpsetconstr @ sk__20 @ sk__21
@ ^ [Y0: $i] :
( $i
= ( X0 @ Y0 ) ) )
@ sk__21
@ sk__20 )
@ sk__20 )
| ( ( dpsetconstr @ sk__20 @ sk__21
@ ^ [Y0: $i] :
( $i
= ( X0 @ Y0 ) ) )
= sk__22 )
| ~ ( func @ sk__20 @ sk__21
@ ( dpsetconstr @ sk__20 @ sk__21
@ ^ [Y0: $i] :
( $i
= ( X0 @ Y0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl22]) ).
thf(zip_derived_cl4_008,plain,
func @ sk__20 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( func @ X4 @ X5 @ X6 )
| ( X7 = X6 )
| ( in @ ( sk__23 @ X6 @ X7 @ X5 @ X4 ) @ X4 )
| ~ ( func @ X4 @ X5 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ~ ( func @ sk__20 @ sk__21 @ X0 )
| ( in @ ( sk__23 @ sk__22 @ X0 @ sk__21 @ sk__20 ) @ sk__20 )
| ( X0 = sk__22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl906,plain,
! [X0: $i > $i] :
( ~ ( func @ sk__20 @ sk__21
@ ( dpsetconstr @ sk__20 @ sk__21
@ ^ [Y0: $i] :
( $i
= ( X0 @ Y0 ) ) ) )
| ( ( dpsetconstr @ sk__20 @ sk__21
@ ^ [Y0: $i] :
( $i
= ( X0 @ Y0 ) ) )
= sk__22 )
| ~ ( in @ ( X0 @ ( sk__19 @ X0 @ sk__21 @ sk__20 ) ) @ sk__21 )
| ( ( X0
@ ( sk__23 @ sk__22
@ ( dpsetconstr @ sk__20 @ sk__21
@ ^ [Y0: $i] :
( $i
= ( X0 @ Y0 ) ) )
@ sk__21
@ sk__20 ) )
!= ( ap @ sk__20 @ sk__21 @ sk__22
@ ( sk__23 @ sk__22
@ ( dpsetconstr @ sk__20 @ sk__21
@ ^ [Y0: $i] :
( $i
= ( X0 @ Y0 ) ) )
@ sk__21
@ sk__20 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl36,zip_derived_cl15]) ).
thf(zip_derived_cl3733_009,plain,
! [X10: $i > $i,X12: $i,X13: $i] :
( ( '#l_lift8958' @ X10 @ X12 @ X13 )
= ( ( X10 @ X12 )
= X13 ) ),
define([status(thm)]) ).
thf(zip_derived_cl3733_010,plain,
! [X10: $i > $i,X12: $i,X13: $i] :
( ( '#l_lift8958' @ X10 @ X12 @ X13 )
= ( ( X10 @ X12 )
= X13 ) ),
define([status(thm)]) ).
thf(zip_derived_cl3733_011,plain,
! [X10: $i > $i,X12: $i,X13: $i] :
( ( '#l_lift8958' @ X10 @ X12 @ X13 )
= ( ( X10 @ X12 )
= X13 ) ),
define([status(thm)]) ).
thf(zip_derived_cl3733_012,plain,
! [X10: $i > $i,X12: $i,X13: $i] :
( ( '#l_lift8958' @ X10 @ X12 @ X13 )
= ( ( X10 @ X12 )
= X13 ) ),
define([status(thm)]) ).
thf(zip_derived_cl3834,plain,
! [X0: $i > $i] :
( ~ ( func @ sk__20 @ sk__21 @ ( dpsetconstr @ sk__20 @ sk__21 @ ( '#l_lift8958' @ X0 ) ) )
| ( ( dpsetconstr @ sk__20 @ sk__21 @ ( '#l_lift8958' @ X0 ) )
= sk__22 )
| ~ ( in @ ( X0 @ ( sk__19 @ X0 @ sk__21 @ sk__20 ) ) @ sk__21 )
| ( ( X0 @ ( sk__23 @ sk__22 @ ( dpsetconstr @ sk__20 @ sk__21 @ ( '#l_lift8958' @ X0 ) ) @ sk__21 @ sk__20 ) )
!= ( ap @ sk__20 @ sk__21 @ sk__22 @ ( sk__23 @ sk__22 @ ( dpsetconstr @ sk__20 @ sk__21 @ ( '#l_lift8958' @ X0 ) ) @ sk__21 @ sk__20 ) ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl906,zip_derived_cl3733,zip_derived_cl3733,zip_derived_cl3733,zip_derived_cl3733]) ).
thf(zip_derived_cl8,plain,
! [X12: $i,X13: $i,X14: $i > $i] :
( ( func @ X12 @ X13
@ ( dpsetconstr @ X12 @ X13
@ ^ [Y0: $i,Y1: $i] :
( ( X14 @ Y0 )
= Y1 ) ) )
| ( in @ ( sk__18 @ X14 @ X13 @ X12 ) @ X12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X12: $i,X13: $i,X14: $i > $i] :
( ( func @ X12 @ X13
@ ( dpsetconstr @ X12 @ X13
@ ^ [Y0: $i] :
( $i
= ( X14 @ Y0 ) ) ) )
| ( in @ ( sk__18 @ X14 @ X13 @ X12 ) @ X12 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl7,plain,
! [X12: $i,X13: $i,X14: $i > $i] :
( ( func @ X12 @ X13
@ ( dpsetconstr @ X12 @ X13
@ ^ [Y0: $i,Y1: $i] :
( ( X14 @ Y0 )
= Y1 ) ) )
| ~ ( in @ ( X14 @ ( sk__18 @ X14 @ X13 @ X12 ) ) @ X13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl28,plain,
! [X12: $i,X13: $i,X14: $i > $i] :
( ( func @ X12 @ X13
@ ( dpsetconstr @ X12 @ X13
@ ^ [Y0: $i] :
( $i
= ( X14 @ Y0 ) ) ) )
| ~ ( in @ ( X14 @ ( sk__18 @ X14 @ X13 @ X12 ) ) @ X13 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl0_013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( ap @ X1 @ X2 @ X3 @ X0 ) @ X2 )
| ~ ( func @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( func @ X1 @ X0
@ ( dpsetconstr @ X1 @ X0
@ ^ [Y0: $i] :
( $i
= ( ap @ X3 @ X0 @ X2 @ Y0 ) ) ) )
| ~ ( func @ X3 @ X0 @ X2 )
| ~ ( in @ ( sk__18 @ ( ap @ X3 @ X0 @ X2 ) @ X0 @ X1 ) @ X3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl0]) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( func @ X0 @ X1
@ ( dpsetconstr @ X0 @ X1
@ ^ [Y0: $i] :
( $i
= ( ap @ X0 @ X1 @ X2 @ Y0 ) ) ) )
| ~ ( func @ X0 @ X1 @ X2 )
| ( func @ X0 @ X1
@ ( dpsetconstr @ X0 @ X1
@ ^ [Y0: $i] :
( $i
= ( ap @ X0 @ X1 @ X2 @ Y0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl29]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( func @ X0 @ X1 @ X2 )
| ( func @ X0 @ X1
@ ( dpsetconstr @ X0 @ X1
@ ^ [Y0: $i] :
( $i
= ( ap @ X0 @ X1 @ X2 @ Y0 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl3733_014,plain,
! [X10: $i > $i,X12: $i,X13: $i] :
( ( '#l_lift8958' @ X10 @ X12 @ X13 )
= ( ( X10 @ X12 )
= X13 ) ),
define([status(thm)]) ).
thf(zip_derived_cl3824,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( func @ X0 @ X1 @ X2 )
| ( func @ X0 @ X1 @ ( dpsetconstr @ X0 @ X1 @ ( '#l_lift8958' @ ( ap @ X0 @ X1 @ X2 ) ) ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl78,zip_derived_cl3733]) ).
thf(zip_derived_cl15_015,plain,
! [X0: $i] :
( ~ ( func @ sk__20 @ sk__21 @ X0 )
| ( in @ ( sk__23 @ sk__22 @ X0 @ sk__21 @ sk__20 ) @ sk__20 )
| ( X0 = sk__22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl3949,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl4,zip_derived_cl1,zip_derived_cl3735,zip_derived_cl0,zip_derived_cl3734,zip_derived_cl3731,zip_derived_cl3834,zip_derived_cl3824,zip_derived_cl15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU696^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hnw9o50eVi true
% 0.14/0.36 % Computer : n005.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 Aug 23 13:20:24 EDT 2023
% 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
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in HO mode
% 0.22/0.66 % Total configuration time : 828
% 0.22/0.66 % Estimated wc time : 1656
% 0.22/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 64.71/8.91 % Solved by lams/40_c_ic.sh.
% 64.71/8.91 % done 381 iterations in 8.090s
% 64.71/8.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 64.71/8.91 % SZS output start Refutation
% See solution above
% 64.71/8.91
% 64.71/8.91
% 64.71/8.91 % Terminating...
% 65.09/9.05 % Runner terminated.
% 65.09/9.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------