%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU940^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iibjG0kqMM true
% Computer : n014.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 04:56:54 PM UTC 2025
% Result : Theorem 0.61s 1.09s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 1
% Syntax : Number of formulae : 43 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 171 ( 65 equ; 55 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 528 ( 49 ~; 30 |; 26 &; 377 @)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 75 ( 75 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 10 usr; 7 con; 0-6 aty)
% ( 22 !!; 3 ??; 0 @@+; 0 @@-)
% Number of variables : 42 ( 17 ^; 23 !; 2 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk4_type',type,
'#sk4': ( ( $i > $i ) > $o ) > $i ).
thf('#sk1_type',type,
'#sk1': $i > $o ).
thf('#sk2_type',type,
'#sk2': ( ( $i > $i ) > $o ) > $i > $i ).
thf('#sk3_type',type,
'#sk3': ( ( $i > $i ) > $o ) > $i > $i ).
thf('#sk5_type',type,
'#sk5': $i ).
thf(s_comb_type,type,
'#S':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).
thf(c_comb_type,type,
'#C':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).
thf(b_comb_type,type,
'#B':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).
thf(k_comb_type,type,
'#K':
!>[A: $tType,B: $tType] : ( B > A > B ) ).
thf(i_comb_type,type,
'#I':
!>[A: $tType] : ( A > A ) ).
thf(cTHM112A_pme,conjecture,
! [P: $i > $o] :
? [M: ( $i > $i ) > $o] :
( ( M
@ ^ [Xx: $i] : Xx )
& ! [G: $i > $i,H: $i > $i] :
( ( ( M @ H )
& ( M @ G ) )
=> ( ! [Y: $i] :
( ( P @ Y )
=> ( P @ ( G @ Y ) ) )
& ( M
@ ^ [Xx: $i] : ( G @ ( H @ Xx ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [P: $i > $o] :
? [M: ( $i > $i ) > $o] :
( ( M
@ ^ [Xx: $i] : Xx )
& ! [G: $i > $i,H: $i > $i] :
( ( ( M @ H )
& ( M @ G ) )
=> ( ! [Y: $i] :
( ( P @ Y )
=> ( P @ ( G @ Y ) ) )
& ( M
@ ^ [Xx: $i] : ( G @ ( H @ Xx ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM112A_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: ( $i > $i ) > $o] :
( ( Y1
@ ^ [Y2: $i] : Y2 )
& ( !!
@ ^ [Y2: $i > $i] :
( !!
@ ^ [Y3: $i > $i] :
( ( ( Y1 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( ( !!
@ ^ [Y4: $i] :
( ( Y0 @ Y4 )
=> ( Y0 @ ( Y2 @ Y4 ) ) ) )
& ( Y1
@ ^ [Y4: $i] : ( Y2 @ ( Y3 @ Y4 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !! @ ( '#B' @ ?? @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ ( '#C' @ '#I' @ '#I' ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#B' @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ '#C' @ ( '#B' @ (&) ) ) ) @ '#I' ) ) ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) ) @ '#B' ) ) ) ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ '#B' ) @ '#B' ) ) ) ) ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ?? @ ( '#S' @ ( '#B' @ (&) @ ( '#C' @ '#I' @ '#I' ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ '#C' @ ( '#B' @ (&) ) ) ) @ '#I' ) ) ) ) @ ( '#B' @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) ) @ ( '#B' @ '#sk1' ) ) ) ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ '#B' ) @ '#B' ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X2: ( $i > $i ) > $o] :
~ ( ( X2 @ '#I' )
& ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ ( '#B' @ (&) @ X2 ) ) @ X2 ) ) ) @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) ) @ ( '#B' @ '#sk1' ) ) ) ) ) @ ( '#B' @ ( '#B' @ X2 ) @ '#B' ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
! [X2: ( $i > $i ) > $o] :
( ~ ( X2 @ '#I' )
| ~ ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ ( '#B' @ (&) @ X2 ) ) @ X2 ) ) ) @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) ) @ ( '#B' @ '#sk1' ) ) ) ) ) @ ( '#B' @ ( '#B' @ X2 ) @ '#B' ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
! [X2: ( $i > $i ) > $o] :
( ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ ( '#B' @ (&) @ X2 ) @ ( X2 @ ( '#sk2' @ X2 ) ) ) ) @ ( '#B' @ ( (&) @ ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ( '#B' @ '#sk1' @ ( '#sk2' @ X2 ) ) ) ) ) @ ( '#B' @ X2 @ ( '#B' @ ( '#sk2' @ X2 ) ) ) ) ) )
| ~ ( X2 @ '#I' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
! [X2: ( $i > $i ) > $o] :
( ~ ( ( ( X2 @ ( '#sk3' @ X2 ) )
& ( X2 @ ( '#sk2' @ X2 ) ) )
=> ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ( '#B' @ '#sk1' @ ( '#sk2' @ X2 ) ) ) )
& ( X2 @ ( '#B' @ ( '#sk2' @ X2 ) @ ( '#sk3' @ X2 ) ) ) ) )
| ~ ( X2 @ '#I' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
! [X2: ( $i > $i ) > $o] :
( ( ( X2 @ ( '#sk3' @ X2 ) )
& ( X2 @ ( '#sk2' @ X2 ) ) )
| ~ ( X2 @ '#I' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl9,plain,
! [X2: ( $i > $i ) > $o] :
( ( X2 @ ( '#sk3' @ X2 ) )
| ~ ( X2 @ '#I' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl17,plain,
( ( ^ [Y0: $i > $i] : ( '#I' = Y0 )
@ ( '#sk3'
@ ^ [Y0: $i > $i] : ( '#I' = Y0 ) ) )
| ~ ( ^ [Y0: $i > $i] : ( '#I' = Y0 )
@ '#I' ) ),
inference('elim_leibniz_eq_-',[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl34,plain,
( ( '#I'
= ( '#sk3' @ ( (>) = '#I' ) ) )
| ( '#I' != '#I' ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl35,plain,
( '#I'
= ( '#sk3' @ ( (>) = '#I' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl36,plain,
( '#I'
= ( '#sk3' @ ( (>) = '#I' ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl8,plain,
! [X2: ( $i > $i ) > $o] :
( ~ ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ( '#B' @ '#sk1' @ ( '#sk2' @ X2 ) ) ) )
& ( X2 @ ( '#B' @ ( '#sk2' @ X2 ) @ ( '#sk3' @ X2 ) ) ) )
| ~ ( X2 @ '#I' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
! [X2: ( $i > $i ) > $o] :
( ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ( '#B' @ '#sk1' @ ( '#sk2' @ X2 ) ) ) )
| ~ ( X2 @ ( '#B' @ ( '#sk2' @ X2 ) @ ( '#sk3' @ X2 ) ) )
| ~ ( X2 @ '#I' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
! [X2: ( $i > $i ) > $o] :
( ~ ( ( '#sk1' @ ( '#sk4' @ X2 ) )
=> ( '#sk1' @ ( '#sk2' @ X2 @ ( '#sk4' @ X2 ) ) ) )
| ~ ( X2 @ '#I' )
| ~ ( X2 @ ( '#B' @ ( '#sk2' @ X2 ) @ ( '#sk3' @ X2 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl14,plain,
! [X2: ( $i > $i ) > $o] :
( ~ ( '#sk1' @ ( '#sk2' @ X2 @ ( '#sk4' @ X2 ) ) )
| ~ ( X2 @ ( '#B' @ ( '#sk2' @ X2 ) @ ( '#sk3' @ X2 ) ) )
| ~ ( X2 @ '#I' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl277,plain,
( ( '#I'
!= ( '#B' @ ( '#sk2' @ ( (>) = '#I' ) ) @ '#I' ) )
| ( '#I' != '#I' )
| ~ ( '#sk1' @ ( '#sk2' @ ( (>) = '#I' ) @ ( '#sk4' @ ( (>) = '#I' ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl14]) ).
thf(zip_derived_cl308,plain,
( ( '#I'
!= ( '#sk2' @ ( (>) = '#I' ) ) )
| ( '#I' != '#I' )
| ~ ( '#sk1' @ ( '#sk2' @ ( (>) = '#I' ) @ ( '#sk4' @ ( (>) = '#I' ) ) ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl277]) ).
thf(zip_derived_cl10,plain,
! [X2: ( $i > $i ) > $o] :
( ( X2 @ ( '#sk2' @ X2 ) )
| ~ ( X2 @ '#I' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl40,plain,
( ( ^ [Y0: $i > $i] : ( '#I' = Y0 )
@ ( '#sk2'
@ ^ [Y0: $i > $i] : ( '#I' = Y0 ) ) )
| ~ ( ^ [Y0: $i > $i] : ( '#I' = Y0 )
@ '#I' ) ),
inference('elim_leibniz_eq_-',[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl57,plain,
( ( '#I'
= ( '#sk2' @ ( (>) = '#I' ) ) )
| ( '#I' != '#I' ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl58,plain,
( '#I'
= ( '#sk2' @ ( (>) = '#I' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl59,plain,
( '#I'
= ( '#sk2' @ ( (>) = '#I' ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl217,plain,
! [X1: $i] :
( ( '#I' @ X1 )
= ( '#sk2' @ ( (>) = '#I' ) @ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl218,plain,
! [X1: $i] :
( X1
= ( '#sk2' @ ( (>) = '#I' ) @ X1 ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl36_001,plain,
( '#I'
= ( '#sk3' @ ( (>) = '#I' ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl13,plain,
! [X2: ( $i > $i ) > $o] :
( ( '#sk1' @ ( '#sk4' @ X2 ) )
| ~ ( X2 @ ( '#B' @ ( '#sk2' @ X2 ) @ ( '#sk3' @ X2 ) ) )
| ~ ( X2 @ '#I' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl223,plain,
( ( '#I'
!= ( '#B' @ ( '#sk2' @ ( (>) = '#I' ) ) @ '#I' ) )
| ( '#I' != '#I' )
| ( '#sk1' @ ( '#sk4' @ ( (>) = '#I' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl13]) ).
thf(zip_derived_cl250,plain,
( ( '#I'
!= ( '#sk2' @ ( (>) = '#I' ) ) )
| ( '#I' != '#I' )
| ( '#sk1' @ ( '#sk4' @ ( (>) = '#I' ) ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl223]) ).
thf(zip_derived_cl251,plain,
( ( '#I'
!= ( '#sk2' @ ( (>) = '#I' ) ) )
| ( '#sk1' @ ( '#sk4' @ ( (>) = '#I' ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl250]) ).
thf(zip_derived_cl252,plain,
( ( '#I'
!= ( '#sk2' @ ( (>) = '#I' ) ) )
| ( '#sk1' @ ( '#sk4' @ ( (>) = '#I' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl251]) ).
thf(zip_derived_cl59_002,plain,
( '#I'
= ( '#sk2' @ ( (>) = '#I' ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl256,plain,
'#sk1' @ ( '#sk4' @ ( (>) = '#I' ) ),
inference(clc,[status(thm)],[zip_derived_cl252,zip_derived_cl59]) ).
thf(zip_derived_cl309,plain,
( ( '#I'
!= ( '#sk2' @ ( (>) = '#I' ) ) )
| ( '#I' != '#I' ) ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl218,zip_derived_cl256]) ).
thf(zip_derived_cl310,plain,
( '#I'
!= ( '#sk2' @ ( (>) = '#I' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl309]) ).
thf(zip_derived_cl311,plain,
( '#I'
!= ( '#sk2' @ ( (>) = '#I' ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl310]) ).
thf(zip_derived_cl317,plain,
( '#sk5'
!= ( '#sk2' @ ( (>) = '#I' ) @ '#sk5' ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl311]) ).
thf(zip_derived_cl218_003,plain,
! [X1: $i] :
( X1
= ( '#sk2' @ ( (>) = '#I' ) @ X1 ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl318,plain,
'#sk5' != '#sk5',
inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl218]) ).
thf(zip_derived_cl319,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl318]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU940^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iibjG0kqMM true
% 0.14/0.35 % Computer : n014.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 16:06:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.57/0.65 % Total configuration time : 828
% 0.57/0.65 % Estimated wc time : 1656
% 0.57/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.61/0.92 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.61/1.09 % Solved by lams/40_b.comb.sh.
% 0.61/1.09 % done 20 iterations in 0.279s
% 0.61/1.09 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/1.09 % SZS output start Refutation
% See solution above
% 0.61/1.09
% 0.61/1.09
% 0.61/1.09 % Terminating...
% 4.27/1.19 % Runner terminated.
% 4.27/1.21 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------