%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU699^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LKr00H3o5T true
% Computer : n022.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 04:55:50 PM UTC 2025
% Result : Theorem 66.97s 9.08s
% Output : Refutation 66.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 144 ( 35 equ; 0 cnn)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 705 ( 30 ~; 35 |; 0 &; 581 @)
% ( 0 <=>; 59 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 8 con; 0-4 aty)
% Number of variables : 156 ( 14 ^; 142 !; 0 ?; 156 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__18_type,type,
sk__18: ( $i > $i ) > $i > $i > $i ).
thf(sk__22_type,type,
sk__22: $i ).
thf(sk__23_type,type,
sk__23: $i > $i > $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(lam_type,type,
lam: $i > $i > ( $i > $i ) > $i ).
thf(funcext2_type,type,
funcext2: $o ).
thf(ap_type,type,
ap: $i > $i > $i > $i > $i ).
thf(sk__19_type,type,
sk__19: ( $i > $i ) > $i > $i > $i ).
thf(lam2p_type,type,
lam2p: $o ).
thf(sk__21_type,type,
sk__21: $i ).
thf(beta2_type,type,
beta2: $o ).
thf(ap2p_type,type,
ap2p: $o ).
thf(funcSet_type,type,
funcSet: $i > $i > $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(beta2,axiom,
( beta2
= ( ! [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,
( beta2
= ( ! [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(funcext2,axiom,
( funcext2
= ( ! [A: $i,B: $i,Xf: $i] :
( ( in @ Xf @ ( funcSet @ A @ B ) )
=> ! [Xg: $i] :
( ( in @ Xg @ ( funcSet @ A @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( ap @ A @ B @ Xf @ Xx )
= ( ap @ A @ B @ Xg @ Xx ) ) )
=> ( Xf = Xg ) ) ) ) ) ) ).
thf('1',plain,
( funcext2
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( funcSet @ X4 @ X6 ) )
=> ! [X10: $i] :
( ( in @ X10 @ ( funcSet @ X4 @ X6 ) )
=> ( ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ( ( ap @ X4 @ X6 @ X8 @ X12 )
= ( ap @ X4 @ X6 @ X10 @ X12 ) ) )
=> ( X8 = X10 ) ) ) ) ) ),
define([status(thm)]) ).
thf(lam2p,axiom,
( lam2p
= ( ! [A: $i,B: $i,Xf: $i > $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ ( Xf @ Xx ) @ B ) )
=> ( in
@ ( lam @ A @ B
@ ^ [Xx: $i] : ( Xf @ Xx ) )
@ ( funcSet @ A @ B ) ) ) ) ) ).
thf('2',plain,
( lam2p
= ( ! [X4: $i,X6: $i,X8: $i > $i] :
( ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( in @ ( X8 @ X10 ) @ X6 ) )
=> ( in
@ ( lam @ X4 @ X6
@ ^ [V_1: $i] : ( X8 @ V_1 ) )
@ ( funcSet @ X4 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(ap2p,axiom,
( ap2p
= ( ! [A: $i,B: $i,Xf: $i] :
( ( in @ Xf @ ( funcSet @ A @ B ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ ( ap @ A @ B @ Xf @ Xx ) @ B ) ) ) ) ) ).
thf('3',plain,
( ap2p
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( funcSet @ X4 @ X6 ) )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( in @ ( ap @ X4 @ X6 @ X8 @ X10 ) @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(eta2,conjecture,
( ap2p
=> ( lam2p
=> ( funcext2
=> ( beta2
=> ! [A: $i,B: $i,Xf: $i] :
( ( in @ Xf @ ( funcSet @ A @ B ) )
=> ( ( lam @ A @ B
@ ^ [Xx: $i] : ( ap @ A @ B @ Xf @ Xx ) )
= Xf ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( funcSet @ X4 @ X6 ) )
=> ! [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 ) )
=> ( in
@ ( lam @ X12 @ X14
@ ^ [V_1: $i] : ( X16 @ V_1 ) )
@ ( funcSet @ X12 @ X14 ) ) )
=> ( ! [X20: $i,X22: $i,X24: $i] :
( ( in @ X24 @ ( funcSet @ X20 @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( funcSet @ X20 @ X22 ) )
=> ( ! [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
@ ( lam @ X30 @ X32
@ ^ [V_2: $i] : ( X34 @ V_2 ) )
@ X38 )
= ( X34 @ X38 ) ) ) )
=> ! [X40: $i,X42: $i,X44: $i] :
( ( in @ X44 @ ( funcSet @ X40 @ X42 ) )
=> ( ( lam @ X40 @ X42
@ ^ [V_3: $i] : ( ap @ X40 @ X42 @ X44 @ V_3 ) )
= X44 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( funcSet @ X4 @ X6 ) )
=> ! [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 ) )
=> ( in
@ ( lam @ X12 @ X14
@ ^ [V_1: $i] : ( X16 @ V_1 ) )
@ ( funcSet @ X12 @ X14 ) ) )
=> ( ! [X20: $i,X22: $i,X24: $i] :
( ( in @ X24 @ ( funcSet @ X20 @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( funcSet @ X20 @ X22 ) )
=> ( ! [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
@ ( lam @ X30 @ X32
@ ^ [V_2: $i] : ( X34 @ V_2 ) )
@ X38 )
= ( X34 @ X38 ) ) ) )
=> ! [X40: $i,X42: $i,X44: $i] :
( ( in @ X44 @ ( funcSet @ X40 @ X42 ) )
=> ( ( lam @ X40 @ X42
@ ^ [V_3: $i] : ( ap @ X40 @ X42 @ X44 @ V_3 ) )
= X44 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( in @ X4 @ ( funcSet @ X5 @ X6 ) )
| ( X7 = X4 )
| ( in @ ( sk__23 @ X4 @ X7 @ X6 @ X5 ) @ X5 )
| ~ ( in @ X7 @ ( funcSet @ X5 @ X6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
in @ sk__22 @ ( funcSet @ sk__20 @ sk__21 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3142,plain,
( ( lam @ sk__20 @ sk__21 @ ( ap @ sk__20 @ sk__21 @ sk__22 ) )
!= sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( ap @ X1 @ X2 @ X3 @ X0 ) @ X2 )
| ~ ( in @ X3 @ ( funcSet @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X8: $i,X9: $i,X10: $i > $i,X11: $i] :
( ~ ( in @ X8 @ X9 )
| ( ( ap @ X9 @ X11
@ ( lam @ X9 @ X11
@ ^ [Y0: $i] : ( X10 @ Y0 ) )
@ X8 )
= ( X10 @ X8 ) )
| ~ ( in @ ( X10 @ ( sk__19 @ X10 @ X11 @ X9 ) ) @ X11 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl112,plain,
! [X8: $i,X9: $i,X10: $i > $i,X11: $i] :
( ~ ( in @ X8 @ X9 )
| ( ( ap @ X9 @ X11 @ ( lam @ X9 @ X11 @ X10 ) @ X8 )
= ( X10 @ X8 ) )
| ~ ( in @ ( X10 @ ( sk__19 @ X10 @ X11 @ X9 ) ) @ X11 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( in @ X1 @ ( funcSet @ X2 @ X0 ) )
| ~ ( in @ ( sk__19 @ ( ap @ X2 @ X0 @ X1 ) @ X0 @ X3 ) @ X2 )
| ( ( ap @ X3 @ X0 @ ( lam @ X3 @ X0 @ ( ap @ X2 @ X0 @ X1 ) ) @ X4 )
= ( ap @ X2 @ X0 @ X1 @ X4 ) )
| ~ ( in @ X4 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl112]) ).
thf(zip_derived_cl8,plain,
! [X12: $i,X13: $i,X14: $i > $i] :
( ( in
@ ( lam @ X12 @ X13
@ ^ [Y0: $i] : ( X14 @ Y0 ) )
@ ( funcSet @ X12 @ X13 ) )
| ( 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] :
( ( in @ ( lam @ X12 @ X13 @ X14 ) @ ( funcSet @ X12 @ X13 ) )
| ( 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] :
( ( in
@ ( lam @ X12 @ X13
@ ^ [Y0: $i] : ( X14 @ Y0 ) )
@ ( funcSet @ X12 @ X13 ) )
| ~ ( in @ ( X14 @ ( sk__18 @ X14 @ X13 @ X12 ) ) @ X13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl40,plain,
! [X12: $i,X13: $i,X14: $i > $i] :
( ( in @ ( lam @ X12 @ X13 @ X14 ) @ ( funcSet @ X12 @ X13 ) )
| ~ ( in @ ( X14 @ ( sk__18 @ X14 @ X13 @ X12 ) ) @ X13 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( ap @ X1 @ X2 @ X3 @ X0 ) @ X2 )
| ~ ( in @ X3 @ ( funcSet @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( lam @ X1 @ X0 @ ( ap @ X3 @ X0 @ X2 ) ) @ ( funcSet @ X1 @ X0 ) )
| ~ ( in @ X2 @ ( funcSet @ X3 @ X0 ) )
| ~ ( in @ ( sk__18 @ ( ap @ X3 @ X0 @ X2 ) @ X0 @ X1 ) @ X3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl0]) ).
thf(zip_derived_cl957,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( lam @ X0 @ X1 @ ( ap @ X0 @ X1 @ X2 ) ) @ ( funcSet @ X0 @ X1 ) )
| ~ ( in @ X2 @ ( funcSet @ X0 @ X1 ) )
| ( in @ ( lam @ X0 @ X1 @ ( ap @ X0 @ X1 @ X2 ) ) @ ( funcSet @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl42]) ).
thf(zip_derived_cl974,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( funcSet @ X0 @ X1 ) )
| ( in @ ( lam @ X0 @ X1 @ ( ap @ X0 @ X1 @ X2 ) ) @ ( funcSet @ X0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl957]) ).
thf(zip_derived_cl4_002,plain,
in @ sk__22 @ ( funcSet @ sk__20 @ sk__21 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2_003,plain,
! [X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( in @ X4 @ ( funcSet @ X5 @ X6 ) )
| ( X7 = X4 )
| ( in @ ( sk__23 @ X4 @ X7 @ X6 @ X5 ) @ X5 )
| ~ ( in @ X7 @ ( funcSet @ X5 @ X6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( funcSet @ sk__20 @ sk__21 ) )
| ( 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_cl3143,plain,
! [X8: $i,X9: $i,X10: $i > $i,X11: $i] :
( ~ ( in @ X8 @ X9 )
| ( ( ap @ X9 @ X11 @ ( lam @ X9 @ X11 @ X10 ) @ X8 )
= ( X10 @ X8 ) )
| ( in @ ( sk__19 @ X10 @ X11 @ X9 ) @ X9 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4_004,plain,
in @ sk__22 @ ( funcSet @ sk__20 @ sk__21 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( in @ X4 @ ( funcSet @ X5 @ X6 ) )
| ( X7 = X4 )
| ( ( ap @ X5 @ X6 @ X7 @ ( sk__23 @ X4 @ X7 @ X6 @ X5 ) )
!= ( ap @ X5 @ X6 @ X4 @ ( sk__23 @ X4 @ X7 @ X6 @ X5 ) ) )
| ~ ( in @ X7 @ ( funcSet @ X5 @ X6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( funcSet @ sk__20 @ sk__21 ) )
| ( ( 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_cl3324,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl2,zip_derived_cl4,zip_derived_cl3142,zip_derived_cl123,zip_derived_cl974,zip_derived_cl24,zip_derived_cl3143,zip_derived_cl55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU699^2 : TPTP v9.2.0. Released v3.7.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LKr00H3o5T true
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:09:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/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 HO mode
% 0.50/0.61 % Total configuration time : 828
% 0.50/0.61 % Estimated wc time : 1656
% 0.50/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 66.97/9.08 % Solved by lams/40_c_ic.sh.
% 66.97/9.08 % done 232 iterations in 8.324s
% 66.97/9.08 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 66.97/9.08 % SZS output start Refutation
% See solution above
% 66.97/9.08
% 66.97/9.08
% 66.97/9.08 % Terminating...
% 67.70/9.16 % Runner terminated.
% 67.70/9.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------