TSTP Solution File: SEV267^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV267^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.shDsXi7hrY true
% Computer : n023.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 Aug 31 20:00:15 EDT 2023
% Result : Theorem 50.93s 7.08s
% Output : Refutation 50.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 4 unt; 4 typ; 0 def)
% Number of atoms : 139 ( 15 equ; 0 cnn)
% Maximal formula atoms : 12 ( 7 avg)
% Number of connectives : 432 ( 11 ~; 4 |; 58 &; 221 @)
% ( 7 <=>; 59 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 10 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 66 ( 66 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 3 usr; 4 con; 0-2 aty)
% ( 48 !!; 24 ??; 0 @@+; 0 @@-)
% Number of variables : 113 ( 85 ^; 22 !; 6 ?; 113 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk1_type',type,
'#sk1': ( a > $o ) > $o ).
thf('#_fresh_sk55_type',type,
'#_fresh_sk55': a ).
thf('#sk2_type',type,
'#sk2': a > $o ).
thf(cNBHD_THM1_pme,conjecture,
! [T: ( a > $o ) > $o] :
( ! [S: a > $o,R: a > $o] :
( ( ( R
= ( ^ [Xx: a] :
? [S_19: a > $o] :
( ( T @ S_19 )
& ! [Xx0: a] :
( ( S_19 @ Xx0 )
=> ( S @ Xx0 ) )
& ( S_19 @ Xx ) ) ) )
& ! [Xx: a > $o] :
( ( ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( S @ Xx0 ) )
& ( T @ Xx ) )
=> ( T @ Xx ) ) )
=> ( T @ R ) )
=> ! [S: a > $o] :
( ( T @ S )
<=> ! [Xx: a] :
( ( S @ Xx )
=> ? [R: a > $o] :
( ? [N: a > $o] :
( ( T @ N )
& ! [Xx0: a] :
( ( N @ Xx0 )
=> ( R @ Xx0 ) )
& ( N @ Xx ) )
& ! [Xx0: a] :
( ( R @ Xx0 )
=> ( S @ Xx0 ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [T: ( a > $o ) > $o] :
( ! [S: a > $o,R: a > $o] :
( ( ( R
= ( ^ [Xx: a] :
? [S_19: a > $o] :
( ( T @ S_19 )
& ! [Xx0: a] :
( ( S_19 @ Xx0 )
=> ( S @ Xx0 ) )
& ( S_19 @ Xx ) ) ) )
& ! [Xx: a > $o] :
( ( ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( S @ Xx0 ) )
& ( T @ Xx ) )
=> ( T @ Xx ) ) )
=> ( T @ R ) )
=> ! [S: a > $o] :
( ( T @ S )
<=> ! [Xx: a] :
( ( S @ Xx )
=> ? [R: a > $o] :
( ? [N: a > $o] :
( ( T @ N )
& ! [Xx0: a] :
( ( N @ Xx0 )
=> ( R @ Xx0 ) )
& ( N @ Xx ) )
& ! [Xx0: a] :
( ( R @ Xx0 )
=> ( S @ Xx0 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cNBHD_THM1_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a > $o] :
( ( ( Y2
= ( ^ [Y3: a] :
( ??
@ ^ [Y4: a > $o] :
( ( Y0 @ Y4 )
& ( !!
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y1 @ Y5 ) ) )
& ( Y4 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) )
& ( Y0 @ Y3 ) )
=> ( Y0 @ Y3 ) ) ) )
=> ( Y0 @ Y2 ) ) ) )
=> ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
<=> ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( ??
@ ^ [Y3: a > $o] :
( ( ??
@ ^ [Y4: a > $o] :
( ( Y0 @ Y4 )
& ( !!
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
& ( Y4 @ Y2 ) ) )
& ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a > $o] :
( ( Y2
= ( ^ [Y3: a] :
( ??
@ ^ [Y4: a > $o] :
( ( Y0 @ Y4 )
& ( !!
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y1 @ Y5 ) ) )
& ( Y4 @ Y3 ) ) ) ) )
=> ( Y0 @ Y2 ) ) ) )
=> ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
<=> ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( ??
@ ^ [Y3: a > $o] :
( ( ??
@ ^ [Y4: a > $o] :
( ( Y0 @ Y4 )
& ( !!
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
& ( Y4 @ Y2 ) ) )
& ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y4 ) ) )
& ( Y3 @ Y2 ) ) ) ) )
=> ( '#sk1' @ Y1 ) ) ) )
=> ( !!
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
<=> ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: a > $o] :
( ( ??
@ ^ [Y3: a > $o] :
( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
& ( Y3 @ Y1 ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y4 ) ) )
& ( Y3 @ Y2 ) ) ) ) )
=> ( '#sk1' @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
! [X2: a > $o] :
( !!
@ ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( X2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) )
=> ( '#sk1' @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( '#sk2' @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) )
=> ( '#sk1' @ Y0 ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl21,plain,
! [X2: a > $o] :
( ( X2
= ( ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( '#sk2' @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
=> ( '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl23,plain,
( ( '#sk2'
= ( ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( '#sk2' @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
=> ( '#sk1' @ '#sk2' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl28,plain,
( ( '#sk2'
!= ( ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( '#sk2' @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
| ( '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl29,plain,
( ( '#sk2'
!= ( ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( '#sk2' @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
| ( '#sk1' @ '#sk2' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl30,plain,
( ( ( '#sk2' @ '#_fresh_sk55' )
!= ( ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( '#sk2' @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#_fresh_sk55' ) )
| ( '#sk1' @ '#sk2' ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl31,plain,
( ( ( '#sk2' @ '#_fresh_sk55' )
!= ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) )
& ( Y0 @ '#_fresh_sk55' ) ) ) )
| ( '#sk1' @ '#sk2' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
<=> ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: a > $o] :
( ( ??
@ ^ [Y3: a > $o] :
( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
& ( Y3 @ Y1 ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
~ ( ( '#sk1' @ '#sk2' )
<=> ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 )
=> ( ??
@ ^ [Y1: a > $o] :
( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( Y2 @ Y0 ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( '#sk2' @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
( ( '#sk1' @ '#sk2' )
!= ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 )
=> ( ??
@ ^ [Y1: a > $o] :
( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( Y2 @ Y0 ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( '#sk2' @ Y2 ) ) ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9791,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl31,zip_derived_cl10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEV267^5 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.shDsXi7hrY true
% 0.15/0.35 % Computer : n023.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
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 03:44:57 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.55/0.68 % Total configuration time : 828
% 0.55/0.68 % Estimated wc time : 1656
% 0.55/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 50.93/7.08 % Solved by lams/20_acsne_simpl.sh.
% 50.93/7.08 % done 705 iterations in 6.233s
% 50.93/7.08 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 50.93/7.08 % SZS output start Refutation
% See solution above
% 50.93/7.08
% 50.93/7.08
% 50.93/7.08 % Terminating...
% 50.93/7.13 % Runner terminated.
% 50.93/7.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------