%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU679^2 : 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.fdhuL5MyBI true
% Computer : n001.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 04:55:43 PM UTC 2025
% Result : Theorem 0.60s 0.83s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of formulae : 23 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 183 ( 57 equ; 0 cnn)
% Maximal formula atoms : 30 ( 7 avg)
% Number of connectives : 540 ( 3 ~; 0 |; 22 &; 453 @)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 14 usr; 5 con; 0-3 aty)
% ( 20 !!; 4 ??; 0 @@+; 0 @@-)
% Number of variables : 177 ( 135 ^; 35 !; 7 ?; 177 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(lam_type,type,
lam: $i > $i > ( $i > $i ) > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(dpsetconstr_type,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(func_type,type,
func: $i > $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $o ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(ex1_type,type,
ex1: $i > ( $i > $o ) > $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(lamProp_type,type,
lamProp: $o ).
thf(breln_type,type,
breln: $i > $i > $i > $o ).
thf(lam,axiom,
( lam
= ( ^ [A: $i,B: $i,Xf: $i > $i] :
( dpsetconstr @ A @ B
@ ^ [Xx: $i,Xy: $i] :
( ( Xf @ Xx )
= Xy ) ) ) ) ).
thf('0',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('1',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(lamProp,axiom,
( lamProp
= ( ! [A: $i,B: $i,Xf: $i > $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ ( Xf @ Xx ) @ B ) )
=> ( func @ A @ B
@ ( dpsetconstr @ A @ B
@ ^ [Xx: $i,Xy: $i] :
( ( Xf @ Xx )
= Xy ) ) ) ) ) ) ).
thf('2',plain,
( lamProp
= ( ! [X4: $i,X6: $i,X8: $i > $i] :
( ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( in @ ( X8 @ X10 ) @ X6 ) )
=> ( func @ X4 @ X6
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_1: $i,V_2: $i] :
( ( X8 @ V_1 )
= V_2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(func,axiom,
( func
= ( ^ [A: $i,B: $i,R: $i] :
( ( breln @ A @ B @ R )
& ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ex1 @ B
@ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) ) ) ) ).
thf(breln,axiom,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).
thf('3',plain,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln]) ).
thf('4',plain,
( breln
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(ex1,axiom,
( ex1
= ( ^ [A: $i,Xphi: $i > $o] :
( singleton
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
thf(singleton,axiom,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ) ).
thf('5',plain,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[singleton]) ).
thf('6',plain,
( singleton
= ( ^ [V_1: $i] :
? [X4: $i] :
( ( V_1
= ( setadjoin @ X4 @ emptyset ) )
& ( in @ X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf('7',plain,
( ex1
= ( ^ [A: $i,Xphi: $i > $o] :
( singleton
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ex1,'6']) ).
thf('8',plain,
( ex1
= ( ^ [V_1: $i,V_2: $i > $o] :
( singleton
@ ( dsetconstr @ V_1
@ ^ [V_3: $i] : ( V_2 @ V_3 ) ) ) ) ),
define([status(thm)]) ).
thf('9',plain,
( func
= ( ^ [A: $i,B: $i,R: $i] :
( ( breln @ A @ B @ R )
& ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ex1 @ B
@ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[func,'4','8','6']) ).
thf('10',plain,
( func
= ( ^ [V_1: $i,V_2: $i,V_3: $i] :
( ( breln @ V_1 @ V_2 @ V_3 )
& ! [X4: $i] :
( ( in @ X4 @ V_1 )
=> ( ex1 @ V_2
@ ^ [V_4: $i] : ( in @ ( kpair @ X4 @ V_4 ) @ V_3 ) ) ) ) ) ),
define([status(thm)]) ).
thf(lamp,conjecture,
( lamProp
=> ! [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(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i > $i] :
( ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( in @ ( X8 @ X10 ) @ X6 ) )
=> ( ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ? [X14: $i] :
( ( in @ X14
@ ( dsetconstr @ X6
@ ^ [V_6: $i] :
( in @ ( kpair @ X12 @ V_6 )
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_7: $i,V_8: $i] :
( ( X8 @ V_7 )
= V_8 ) ) ) ) )
& ( ( dsetconstr @ X6
@ ^ [V_3: $i] :
( in @ ( kpair @ X12 @ V_3 )
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_4: $i,V_5: $i] :
( ( X8 @ V_4 )
= V_5 ) ) ) )
= ( setadjoin @ X14 @ emptyset ) ) ) )
& ( subset
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_1: $i,V_2: $i] :
( ( X8 @ V_1 )
= V_2 ) )
@ ( cartprod @ X4 @ X6 ) ) ) )
=> ! [X16: $i,X18: $i,X20: $i > $i] :
( ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ( in @ ( X20 @ X22 ) @ X18 ) )
=> ( ! [X24: $i] :
( ( in @ X24 @ X16 )
=> ? [X26: $i] :
( ( in @ X26
@ ( dsetconstr @ X18
@ ^ [V_14: $i] :
( in @ ( kpair @ X24 @ V_14 )
@ ( dpsetconstr @ X16 @ X18
@ ^ [V_15: $i,V_16: $i] :
( ( X20 @ V_15 )
= V_16 ) ) ) ) )
& ( ( dsetconstr @ X18
@ ^ [V_11: $i] :
( in @ ( kpair @ X24 @ V_11 )
@ ( dpsetconstr @ X16 @ X18
@ ^ [V_12: $i,V_13: $i] :
( ( X20 @ V_12 )
= V_13 ) ) ) )
= ( setadjoin @ X26 @ emptyset ) ) ) )
& ( subset
@ ( dpsetconstr @ X16 @ X18
@ ^ [V_9: $i,V_10: $i] :
( ( X20 @ V_9 )
= V_10 ) )
@ ( cartprod @ X16 @ X18 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i > $i] :
( ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( in @ ( X8 @ X10 ) @ X6 ) )
=> ( ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ? [X14: $i] :
( ( in @ X14
@ ( dsetconstr @ X6
@ ^ [V_6: $i] :
( in @ ( kpair @ X12 @ V_6 )
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_7: $i,V_8: $i] :
( ( X8 @ V_7 )
= V_8 ) ) ) ) )
& ( ( dsetconstr @ X6
@ ^ [V_3: $i] :
( in @ ( kpair @ X12 @ V_3 )
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_4: $i,V_5: $i] :
( ( X8 @ V_4 )
= V_5 ) ) ) )
= ( setadjoin @ X14 @ emptyset ) ) ) )
& ( subset
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_1: $i,V_2: $i] :
( ( X8 @ V_1 )
= V_2 ) )
@ ( cartprod @ X4 @ X6 ) ) ) )
=> ! [X16: $i,X18: $i,X20: $i > $i] :
( ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ( in @ ( X20 @ X22 ) @ X18 ) )
=> ( ! [X24: $i] :
( ( in @ X24 @ X16 )
=> ? [X26: $i] :
( ( in @ X26
@ ( dsetconstr @ X18
@ ^ [V_14: $i] :
( in @ ( kpair @ X24 @ V_14 )
@ ( dpsetconstr @ X16 @ X18
@ ^ [V_15: $i,V_16: $i] :
( ( X20 @ V_15 )
= V_16 ) ) ) ) )
& ( ( dsetconstr @ X18
@ ^ [V_11: $i] :
( in @ ( kpair @ X24 @ V_11 )
@ ( dpsetconstr @ X16 @ X18
@ ^ [V_12: $i,V_13: $i] :
( ( X20 @ V_12 )
= V_13 ) ) ) )
= ( setadjoin @ X26 @ emptyset ) ) ) )
& ( subset
@ ( dpsetconstr @ X16 @ X18
@ ^ [V_9: $i,V_10: $i] :
( ( X20 @ V_9 )
= V_10 ) )
@ ( cartprod @ X16 @ X18 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i > $i] :
( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( in @ ( Y2 @ Y3 ) @ Y1 ) ) )
=> ( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ??
@ ^ [Y4: $i] :
( ( in @ Y4
@ ( dsetconstr @ Y1
@ ^ [Y5: $i] :
( in @ ( kpair @ Y3 @ Y5 )
@ ( dpsetconstr @ Y0 @ Y1
@ ^ [Y6: $i,Y7: $i] :
( ( Y2 @ Y6 )
= Y7 ) ) ) ) )
& ( ( dsetconstr @ Y1
@ ^ [Y5: $i] :
( in @ ( kpair @ Y3 @ Y5 )
@ ( dpsetconstr @ Y0 @ Y1
@ ^ [Y6: $i,Y7: $i] :
( ( Y2 @ Y6 )
= Y7 ) ) ) )
= ( setadjoin @ Y4 @ emptyset ) ) ) ) ) )
& ( subset
@ ( dpsetconstr @ Y0 @ Y1
@ ^ [Y3: $i,Y4: $i] :
( ( Y2 @ Y3 )
= Y4 ) )
@ ( cartprod @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i > $i] :
( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( in @ ( Y2 @ Y3 ) @ Y1 ) ) )
=> ( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ??
@ ^ [Y4: $i] :
( ( in @ Y4
@ ( dsetconstr @ Y1
@ ^ [Y5: $i] :
( in @ ( kpair @ Y3 @ Y5 )
@ ( dpsetconstr @ Y0 @ Y1
@ ^ [Y6: $i,Y7: $i] :
( ( Y2 @ Y6 )
= Y7 ) ) ) ) )
& ( ( dsetconstr @ Y1
@ ^ [Y5: $i] :
( in @ ( kpair @ Y3 @ Y5 )
@ ( dpsetconstr @ Y0 @ Y1
@ ^ [Y6: $i,Y7: $i] :
( ( Y2 @ Y6 )
= Y7 ) ) ) )
= ( setadjoin @ Y4 @ emptyset ) ) ) ) ) )
& ( subset
@ ( dpsetconstr @ Y0 @ Y1
@ ^ [Y3: $i,Y4: $i] :
( ( Y2 @ Y3 )
= Y4 ) )
@ ( cartprod @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i > $i] :
( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( in @ ( Y2 @ Y3 ) @ Y1 ) ) )
=> ( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ??
@ ^ [Y4: $i] :
( ( in @ Y4
@ ( dsetconstr @ Y1
@ ^ [Y5: $i] :
( in @ ( kpair @ Y3 @ Y5 )
@ ( dpsetconstr @ Y0 @ Y1
@ ^ [Y6: $i] :
( $i
= ( Y2 @ Y6 ) ) ) ) ) )
& ( ( dsetconstr @ Y1
@ ^ [Y5: $i] :
( in @ ( kpair @ Y3 @ Y5 )
@ ( dpsetconstr @ Y0 @ Y1
@ ^ [Y6: $i] :
( $i
= ( Y2 @ Y6 ) ) ) ) )
= ( setadjoin @ Y4 @ emptyset ) ) ) ) ) )
& ( subset
@ ( dpsetconstr @ Y0 @ Y1
@ ^ [Y3: $i] :
( $i
= ( Y2 @ Y3 ) ) )
@ ( cartprod @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i > $i] :
( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( in @ ( Y2 @ Y3 ) @ Y1 ) ) )
=> ( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ??
@ ^ [Y4: $i] :
( ( in @ Y4
@ ( dsetconstr @ Y1
@ ^ [Y5: $i] :
( in @ ( kpair @ Y3 @ Y5 )
@ ( dpsetconstr @ Y0 @ Y1
@ ^ [Y6: $i] :
( $i
= ( Y2 @ Y6 ) ) ) ) ) )
& ( ( dsetconstr @ Y1
@ ^ [Y5: $i] :
( in @ ( kpair @ Y3 @ Y5 )
@ ( dpsetconstr @ Y0 @ Y1
@ ^ [Y6: $i] :
( $i
= ( Y2 @ Y6 ) ) ) ) )
= ( setadjoin @ Y4 @ emptyset ) ) ) ) ) )
& ( subset
@ ( dpsetconstr @ Y0 @ Y1
@ ^ [Y3: $i] :
( $i
= ( Y2 @ Y3 ) ) )
@ ( cartprod @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : SEU679^2 : TPTP v9.2.0. Released v3.7.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fdhuL5MyBI true
% 0.15/0.35 % Computer : n001.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 16:02:23 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.57/0.68 % Total configuration time : 828
% 0.57/0.68 % Estimated wc time : 1656
% 0.57/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.83 % Solved by lams/20_acsne_simpl.sh.
% 0.60/0.83 % done 0 iterations in 0.011s
% 0.60/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.83 % SZS output start Refutation
% See solution above
% 0.60/0.83
% 0.60/0.83
% 0.60/0.83 % Terminating...
% 1.56/0.90 % Runner terminated.
% 1.56/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------