TSTP Solution File: SEV273^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV273^5 : 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.v3NIhIasRP true
% Computer : n019.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 20:00:17 EDT 2023
% Result : Theorem 1.38s 0.91s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 8 unt; 9 typ; 0 def)
% Number of atoms : 124 ( 22 equ; 38 cnn)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 458 ( 19 ~; 13 |; 22 &; 326 @)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 10 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 8 usr; 7 con; 0-6 aty)
% ( 28 !!; 11 ??; 0 @@+; 0 @@-)
% Number of variables : 62 ( 10 ^; 36 !; 4 ?; 62 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk2_type',type,
'#sk2': ( a > $o ) > a ).
thf('#sk1_type',type,
'#sk1': a ).
thf(cR_type,type,
cR: a > a > $o ).
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(cTHM542_pme,conjecture,
( ! [X: a > $o] :
( ? [Xz: a] : ( X @ Xz )
=> ? [Xz: a] :
( ( X @ Xz )
& ! [Xx: a] :
( ( X @ Xx )
=> ( cR @ Xz @ Xx ) )
& ! [Xy: a] :
( ( ! [Xx: a] :
( ( X @ Xx )
=> ( cR @ Xy @ Xx ) )
& ( X @ Xy ) )
=> ( Xy = Xz ) ) ) )
=> ! [Xx: a] : ( cR @ Xx @ Xx ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [X: a > $o] :
( ? [Xz: a] : ( X @ Xz )
=> ? [Xz: a] :
( ( X @ Xz )
& ! [Xx: a] :
( ( X @ Xx )
=> ( cR @ Xz @ Xx ) )
& ! [Xy: a] :
( ( ! [Xx: a] :
( ( X @ Xx )
=> ( cR @ Xy @ Xx ) )
& ( X @ Xy ) )
=> ( Xy = Xz ) ) ) )
=> ! [Xx: a] : ( cR @ Xx @ Xx ) ),
inference('cnf.neg',[status(esa)],[cTHM542_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: a > $o] :
( ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) )
=> ( ??
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( cR @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: a] :
( ( ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( cR @ Y2 @ Y3 ) ) )
& ( Y0 @ Y2 ) )
=> ( Y2 = Y1 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: a] : ( cR @ Y0 @ Y0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ?? ) @ ( '#B' @ ?? @ ( '#S' @ ( '#B' @ '#S' @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) ) @ cR ) ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) ) @ cR ) ) ) ) @ '#I' ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ) ) )
=> ( !! @ ( '#S' @ cR @ '#I' ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( !! @ ( '#S' @ cR @ '#I' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
~ ( cR @ '#sk1' @ '#sk1' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl2,plain,
!! @ ( '#S' @ ( '#B' @ (=>) @ ?? ) @ ( '#B' @ ?? @ ( '#S' @ ( '#B' @ '#S' @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) ) @ cR ) ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) ) @ cR ) ) ) ) @ '#I' ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X2: a > $o] :
( ( ?? @ X2 )
=> ( ?? @ ( '#S' @ ( '#S' @ ( '#B' @ (&) @ X2 ) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ X2 ) ) @ cR ) ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ X2 ) ) @ cR ) ) ) @ X2 ) ) ) @ ( '#C' @ (=) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
! [X2: a > $o] :
( ~ ( ?? @ X2 )
| ( ?? @ ( '#S' @ ( '#S' @ ( '#B' @ (&) @ X2 ) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ X2 ) ) @ cR ) ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ X2 ) ) @ cR ) ) ) @ X2 ) ) ) @ ( '#C' @ (=) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
! [X2: a > $o,X4: a] :
( ~ ( X2 @ X4 )
| ( ?? @ ( '#S' @ ( '#S' @ ( '#B' @ (&) @ X2 ) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ X2 ) ) @ cR ) ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ X2 ) ) @ cR ) ) ) @ X2 ) ) ) @ ( '#C' @ (=) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
! [X2: a > $o,X4: a] :
( ( ( X2 @ ( '#sk2' @ X2 ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ X2 ) @ ( cR @ ( '#sk2' @ X2 ) ) ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ X2 ) ) @ cR ) ) ) @ X2 ) ) @ ( '#C' @ (=) @ ( '#sk2' @ X2 ) ) ) ) )
| ~ ( X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
! [X2: a > $o,X4: a] :
( ( X2 @ ( '#sk2' @ X2 ) )
| ~ ( X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl29,plain,
! [X0: a] :
( ( ^ [Y0: a] : ( X0 = Y0 )
@ ( '#sk2'
@ ^ [Y0: a] : ( X0 = Y0 ) ) )
| ~ ( ^ [Y0: a] : ( X0 = Y0 )
@ X0 ) ),
inference('elim_leibniz_eq_-',[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl48,plain,
! [X0: a] :
( ( X0
= ( '#sk2' @ ( a = X0 ) ) )
| ( X0 != X0 ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl49,plain,
! [X0: a] :
( X0
= ( '#sk2' @ ( a = X0 ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl50,plain,
! [X0: a] :
( X0
= ( '#sk2' @ ( a = X0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl10,plain,
! [X2: a > $o,X4: a] :
( ( !! @ ( '#S' @ ( '#B' @ (=>) @ X2 ) @ ( cR @ ( '#sk2' @ X2 ) ) ) )
| ~ ( X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
! [X2: a > $o,X4: a,X6: a] :
( ( ( X2 @ X6 )
=> ( cR @ ( '#sk2' @ X2 ) @ X6 ) )
| ~ ( X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl14,plain,
! [X2: a > $o,X4: a,X6: a] :
( ~ ( X2 @ X6 )
| ( cR @ ( '#sk2' @ X2 ) @ X6 )
| ~ ( X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl16,plain,
! [X0: a > $o,X1: a] :
( ~ ( X0 @ X1 )
| ( cR @ ( '#sk2' @ X0 ) @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl58,plain,
! [X0: a,X1: a] :
( ( cR @ X0 @ X1 )
| ( X0 != X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl16]) ).
thf(zip_derived_cl67,plain,
! [X0: a,X1: a] :
( ( cR @ X0 @ X1 )
| ( X0 != X1 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl71,plain,
'#sk1' != '#sk1',
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl67]) ).
thf(zip_derived_cl72,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV273^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.v3NIhIasRP true
% 0.12/0.33 % Computer : n019.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 : Thu Aug 24 04:08:29 EDT 2023
% 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
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in HO mode
% 0.18/0.62 % Total configuration time : 828
% 0.18/0.62 % Estimated wc time : 1656
% 0.18/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.18/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.18/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.18/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.18/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.18/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.18/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.18/0.73 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.18/0.75 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.38/0.91 % Solved by lams/40_b.comb.sh.
% 1.38/0.91 % done 7 iterations in 0.099s
% 1.38/0.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.38/0.91 % SZS output start Refutation
% See solution above
% 1.38/0.91
% 1.38/0.91
% 1.38/0.91 % Terminating...
% 1.68/1.04 % Runner terminated.
% 1.68/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------