%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU648^2 : 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.Wg8m97KHpR true
% Computer : n016.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 04:55:33 PM UTC 2025
% Result : Theorem 0.43s 0.75s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 90 ( 58 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 413 ( 12 ~; 3 |; 0 &; 346 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 8 con; 0-2 aty)
% ( 28 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 92 ( 34 ^; 58 !; 0 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1_type',type,
'#sk1': $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(setukpairinjL2_type,type,
setukpairinjL2: $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(setukpairinjL2,axiom,
( setukpairinjL2
= ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
( ( ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) )
=> ( Xx = Xz ) ) ) ) ).
thf('0',plain,
( setukpairinjL2
= ( ! [X4: $i,X6: $i,X8: $i,X10: $i] :
( ( ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X8 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) )
=> ( X4 = X8 ) ) ) ),
define([status(thm)]) ).
thf(setukpairinjL,conjecture,
( setukpairinjL2
=> ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
( ( ( kpair @ Xx @ Xy )
= ( kpair @ Xz @ Xu ) )
=> ( Xx = Xz ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i,X10: $i] :
( ( ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X8 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) )
=> ( X4 = X8 ) )
=> ! [X12: $i,X14: $i,X16: $i,X18: $i] :
( ( ( kpair @ X12 @ X14 )
= ( kpair @ X16 @ X18 ) )
=> ( X12 = X16 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i,X10: $i] :
( ( ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X8 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) )
=> ( X4 = X8 ) )
=> ! [X12: $i,X14: $i,X16: $i,X18: $i] :
( ( ( kpair @ X12 @ X14 )
= ( kpair @ X16 @ X18 ) )
=> ( X12 = X16 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Y2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) )
=> ( Y0 = Y2 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( kpair @ Y0 @ Y1 )
= ( kpair @ Y2 @ Y3 ) )
=> ( Y0 = Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl15,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( kpair @ Y0 @ Y1 )
= ( kpair @ Y2 @ Y3 ) )
=> ( Y0 = Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl17,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( kpair @ '#sk1' @ Y0 )
= ( kpair @ Y1 @ Y2 ) )
=> ( '#sk1' = Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl19,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( kpair @ '#sk1' @ '#sk2' )
= ( kpair @ Y0 @ Y1 ) )
=> ( '#sk1' = Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl21,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( ( kpair @ '#sk1' @ '#sk2' )
= ( kpair @ '#sk3' @ Y0 ) )
=> ( '#sk1' = '#sk3' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl23,plain,
~ ( ( ( kpair @ '#sk1' @ '#sk2' )
= ( kpair @ '#sk3' @ '#sk4' ) )
=> ( '#sk1' = '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl26,plain,
( ( kpair @ '#sk1' @ '#sk2' )
= ( kpair @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl29,plain,
( ( kpair @ '#sk1' @ '#sk2' )
= ( kpair @ '#sk3' @ '#sk4' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Y2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) )
=> ( Y0 = Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl16,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) ) )
=> ( X2 = Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl18,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) )
=> ( X2 = Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X6 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) )
=> ( X2 = X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl22,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X6 @ ( setadjoin @ X8 @ emptyset ) ) @ emptyset ) ) )
=> ( X2 = X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(kpair,axiom,
( kpair
= ( ^ [Xx: $i,Xy: $i] : ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ).
thf(zip_derived_cl0,plain,
( kpair
= ( ^ [Y0: $i,Y1: $i] : ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[kpair]) ).
thf(zip_derived_cl3,plain,
! [X1: $i,X2: $i] :
( ( kpair @ X1 @ X2 )
= ( ^ [Y0: $i,Y1: $i] : ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) )
@ X1
@ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
! [X1: $i,X2: $i] :
( ( kpair @ X1 @ X2 )
= ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5_001,plain,
! [X1: $i,X2: $i] :
( ( kpair @ X1 @ X2 )
= ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( kpair @ X2 @ X4 )
= ( kpair @ X6 @ X8 ) )
=> ( X2 = X6 ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl5,zip_derived_cl5]) ).
thf(zip_derived_cl25,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( kpair @ X2 @ X4 )
!= ( kpair @ X6 @ X8 ) )
| ( X2 = X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl28,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( kpair @ X2 @ X4 )
!= ( kpair @ X6 @ X8 ) )
| ( X2 = X6 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i] :
( ( ( kpair @ X1 @ X0 )
!= ( kpair @ '#sk3' @ '#sk4' ) )
| ( X1 = '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl28]) ).
thf(zip_derived_cl56,plain,
'#sk3' = '#sk1',
inference(eq_res,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl27,plain,
'#sk1' != '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl30,plain,
'#sk1' != '#sk3',
inference('simplify nested equalities',[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl61,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl56,zip_derived_cl30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU648^2 : TPTP v9.2.0. Released v3.7.0.
% 0.09/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Wg8m97KHpR true
% 0.09/0.29 % Computer : n016.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Wed Oct 1 16:05:53 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.31 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.09/0.31 % Running in HO mode
% 0.39/0.58 % Total configuration time : 828
% 0.39/0.58 % Estimated wc time : 1656
% 0.39/0.58 % Estimated cpu time (8 cpus) : 207.0
% 0.41/0.66 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.41/0.68 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.41/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.41/0.69 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.43/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.43/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.43/0.74 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.43/0.75 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.43/0.75 % Solved by lams/35_full_unif4.sh.
% 0.43/0.75 % done 10 iterations in 0.030s
% 0.43/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.43/0.75 % SZS output start Refutation
% See solution above
% 0.43/0.75
% 0.43/0.75
% 0.43/0.75 % Terminating...
% 1.71/0.83 % Runner terminated.
% 1.71/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------