%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU665^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GrYWx3IMCt true
% Computer : n003.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 04:55:38 PM UTC 2025
% Result : Theorem 0.55s 1.00s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 137 ( 27 equ; 0 cnn)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 483 ( 33 ~; 23 |; 24 &; 347 @)
% ( 0 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 9 con; 0-3 aty)
% ( 0 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 115 ( 29 ^; 76 !; 10 ?; 115 :)
% Comments :
%------------------------------------------------------------------------------
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(dpsetconstr_type,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(setext_type,type,
setext: $o ).
thf(sk__15_type,type,
sk__15: $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(cartprodpairin_type,type,
cartprodpairin: $o ).
thf(dpsetconstr,axiom,
( dpsetconstr
= ( ^ [A: $i,B: $i,Xphi: $i > $i > $o] :
( dsetconstr @ ( cartprod @ A @ B )
@ ^ [Xu: $i] :
? [Xx: $i] :
( ? [Xy: $i] :
( ( Xu
= ( kpair @ Xx @ Xy ) )
& ( Xphi @ Xx @ Xy )
& ( in @ Xy @ B ) )
& ( in @ Xx @ A ) ) ) ) ) ).
thf('0',plain,
( dpsetconstr
= ( ^ [A: $i,B: $i,Xphi: $i > $i > $o] :
( dsetconstr @ ( cartprod @ A @ B )
@ ^ [Xu: $i] :
? [Xx: $i] :
( ? [Xy: $i] :
( ( Xu
= ( kpair @ Xx @ Xy ) )
& ( Xphi @ Xx @ Xy )
& ( in @ Xy @ B ) )
& ( in @ Xx @ A ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[dpsetconstr]) ).
thf('1',plain,
( dpsetconstr
= ( ^ [V_1: $i,V_2: $i,V_3: $i > $i > $o] :
( dsetconstr @ ( cartprod @ V_1 @ V_2 )
@ ^ [V_4: $i] :
? [X4: $i] :
( ? [X6: $i] :
( ( V_4
= ( kpair @ X4 @ X6 ) )
& ( V_3 @ X4 @ X6 )
& ( in @ X6 @ V_2 ) )
& ( in @ X4 @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(cartprodpairin,axiom,
( cartprodpairin
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) ) ) ) ) ) ).
thf('2',plain,
( cartprodpairin
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ! [X10: $i] :
( ( in @ X10 @ X6 )
=> ( in @ ( kpair @ X8 @ X10 ) @ ( cartprod @ X4 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(setext,axiom,
( setext
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( A = B ) ) ) ) ) ).
thf('3',plain,
( setext
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( ! [X10: $i] :
( ( in @ X10 @ X6 )
=> ( in @ X10 @ X4 ) )
=> ( X4 = X6 ) ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrI,axiom,
( dsetconstrI
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
thf('4',plain,
( dsetconstrI
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(dpsetconstrI,conjecture,
( dsetconstrI
=> ( setext
=> ( cartprodpairin
=> ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( Xphi @ Xx @ Xy )
=> ( in @ ( kpair @ Xx @ Xy )
@ ( dpsetconstr @ A @ B
@ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
=> ( ! [X10: $i,X12: $i] :
( ! [X14: $i] :
( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) )
=> ( ! [X16: $i] :
( ( in @ X16 @ X12 )
=> ( in @ X16 @ X10 ) )
=> ( X10 = X12 ) ) )
=> ( ! [X18: $i,X20: $i,X22: $i] :
( ( in @ X22 @ X18 )
=> ! [X24: $i] :
( ( in @ X24 @ X20 )
=> ( in @ ( kpair @ X22 @ X24 ) @ ( cartprod @ X18 @ X20 ) ) ) )
=> ! [X26: $i,X28: $i,X30: $i > $i > $o,X32: $i] :
( ( in @ X32 @ X26 )
=> ! [X34: $i] :
( ( in @ X34 @ X28 )
=> ( ( X30 @ X32 @ X34 )
=> ( in @ ( kpair @ X32 @ X34 )
@ ( dsetconstr @ ( cartprod @ X26 @ X28 )
@ ^ [V_2: $i] :
? [X36: $i] :
( ( in @ X36 @ X26 )
& ? [X38: $i] :
( ( in @ X38 @ X28 )
& ( X30 @ X36 @ X38 )
& ( V_2
= ( kpair @ X36 @ X38 ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
=> ( ! [X10: $i,X12: $i] :
( ! [X14: $i] :
( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) )
=> ( ! [X16: $i] :
( ( in @ X16 @ X12 )
=> ( in @ X16 @ X10 ) )
=> ( X10 = X12 ) ) )
=> ( ! [X18: $i,X20: $i,X22: $i] :
( ( in @ X22 @ X18 )
=> ! [X24: $i] :
( ( in @ X24 @ X20 )
=> ( in @ ( kpair @ X22 @ X24 ) @ ( cartprod @ X18 @ X20 ) ) ) )
=> ! [X26: $i,X28: $i,X30: $i > $i > $o,X32: $i] :
( ( in @ X32 @ X26 )
=> ! [X34: $i] :
( ( in @ X34 @ X28 )
=> ( ( X30 @ X32 @ X34 )
=> ( in @ ( kpair @ X32 @ X34 )
@ ( dsetconstr @ ( cartprod @ X26 @ X28 )
@ ^ [V_2: $i] :
? [X36: $i] :
( ( in @ X36 @ X26 )
& ? [X38: $i] :
( ( in @ X38 @ X28 )
& ( X30 @ X36 @ X38 )
& ( V_2
= ( kpair @ X36 @ X38 ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
in @ sk__16 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
in @ sk__17 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( in @ X3 @ X4 )
| ( in @ ( kpair @ X5 @ X3 ) @ ( cartprod @ X6 @ X4 ) )
| ~ ( in @ X5 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X1 )
| ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) )
| ~ ( in @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl22,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X1 )
| ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) )
| ~ ( in @ X1 @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( in @ ( kpair @ sk__16 @ sk__17 )
@ ( dsetconstr @ ( cartprod @ sk__13 @ sk__14 )
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__13 )
& ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ sk__14 )
& ( sk__15 @ Y1 @ Y2 )
& ( Y0
= ( kpair @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl100,plain,
( ~ ( in @ ( kpair @ sk__16 @ sk__17 ) @ ( cartprod @ sk__13 @ sk__14 ) )
| ~ ( ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__13 )
& ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ sk__14 )
& ( sk__15 @ Y1 @ Y2 )
& ( Y0
= ( kpair @ Y1 @ Y2 ) ) ) ) ) )
@ ( kpair @ sk__16 @ sk__17 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl3]) ).
thf(zip_derived_cl101,plain,
( ~ ( in @ ( kpair @ sk__16 @ sk__17 ) @ ( cartprod @ sk__13 @ sk__14 ) )
| ~ ( ??
@ ^ [Y0: $i] :
( ( in @ Y0 @ sk__13 )
& ( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__14 )
& ( sk__15 @ Y0 @ Y1 )
& ( ( kpair @ sk__16 @ sk__17 )
= ( kpair @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl144,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ sk__13 )
| ( ( kpair @ sk__16 @ sk__17 )
!= ( kpair @ X0 @ X1 ) )
| ~ ( sk__15 @ X0 @ X1 )
| ~ ( in @ X1 @ sk__14 )
| ~ ( in @ ( kpair @ sk__16 @ sk__17 ) @ ( cartprod @ sk__13 @ sk__14 ) ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl145,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ sk__16 @ sk__13 )
| ~ ( in @ sk__17 @ sk__14 )
| ~ ( in @ X0 @ sk__14 )
| ~ ( sk__15 @ X1 @ X0 )
| ( ( kpair @ sk__16 @ sk__17 )
!= ( kpair @ X1 @ X0 ) )
| ~ ( in @ X1 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl144]) ).
thf(zip_derived_cl5_001,plain,
in @ sk__16 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2_002,plain,
in @ sk__17 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl147,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ sk__14 )
| ~ ( sk__15 @ X1 @ X0 )
| ( ( kpair @ sk__16 @ sk__17 )
!= ( kpair @ X1 @ X0 ) )
| ~ ( in @ X1 @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl149,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__13 )
| ( ( kpair @ sk__16 @ sk__17 )
!= ( kpair @ X0 @ sk__17 ) )
| ~ ( sk__15 @ X0 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl147]) ).
thf(zip_derived_cl155,plain,
( ~ ( sk__15 @ sk__16 @ sk__17 )
| ( ( kpair @ sk__16 @ sk__17 )
!= ( kpair @ sk__16 @ sk__17 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl149]) ).
thf(zip_derived_cl4,plain,
sk__15 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl161,plain,
( ( kpair @ sk__16 @ sk__17 )
!= ( kpair @ sk__16 @ sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl4]) ).
thf(zip_derived_cl162,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU665^2 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GrYWx3IMCt true
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 16:03:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.34 % Running in HO mode
% 0.53/0.64 % Total configuration time : 828
% 0.53/0.64 % Estimated wc time : 1656
% 0.53/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.55/1.00 % Solved by lams/40_c_ic.sh.
% 0.55/1.00 % done 26 iterations in 0.230s
% 0.55/1.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/1.00 % SZS output start Refutation
% See solution above
% 0.55/1.00
% 0.55/1.00
% 0.55/1.00 % Terminating...
% 1.42/1.15 % Runner terminated.
% 1.84/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------