TSTP Solution File: SYO536^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO536^1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6Rz1qAJK0Y true
% Computer : n018.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 : Fri Sep 1 05:51:58 EDT 2023
% Result : Theorem 1.27s 0.82s
% Output : Refutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 42 ( 10 unt; 8 typ; 0 def)
% Number of atoms : 103 ( 6 equ; 1 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 333 ( 12 ~; 4 |; 0 &; 251 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 104 ( 104 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 8 usr; 6 con; 0-2 aty)
% ( 4 !!; 47 ??; 0 @@+; 0 @@-)
% Number of variables : 119 ( 91 ^; 13 !; 15 ?; 119 :)
% Comments :
%------------------------------------------------------------------------------
thf(eps_type,type,
eps: ( $i > $o ) > $i ).
thf('#sk17_type',type,
'#sk17': $i ).
thf(epsa_type,type,
epsa: ( ( $i > $i ) > $i > $o ) > $i > $i ).
thf(epsii_type,type,
epsii: ( ( $i > $i ) > $o ) > $i > $i ).
thf('#sk13_type',type,
'#sk13': $i > $i ).
thf(epsb_type,type,
epsb: ( ( $i > $i ) > $i > $o ) > $i ).
thf('#sk14_type',type,
'#sk14': $i ).
thf('#sk12_type',type,
'#sk12': ( $i > $i ) > $i > $o ).
thf(epsbd,axiom,
( epsb
= ( ^ [R: ( $i > $i ) > $i > $o] :
( eps
@ ^ [Y: $i] : ( R @ ( epsa @ R ) @ Y ) ) ) ) ).
thf(epsad,axiom,
( epsa
= ( ^ [R: ( $i > $i ) > $i > $o] :
( epsii
@ ^ [X: $i > $i] :
? [Y: $i] : ( R @ X @ Y ) ) ) ) ).
thf('0',plain,
( epsa
= ( ^ [R: ( $i > $i ) > $i > $o] :
( epsii
@ ^ [X: $i > $i] :
? [Y: $i] : ( R @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[epsad]) ).
thf('1',plain,
( epsa
= ( ^ [V_1: ( $i > $i ) > $i > $o] :
( epsii
@ ^ [V_2: $i > $i] :
? [X4: $i] : ( V_1 @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf('2',plain,
( epsb
= ( ^ [R: ( $i > $i ) > $i > $o] :
( eps
@ ^ [Y: $i] : ( R @ ( epsa @ R ) @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[epsbd,'1']) ).
thf('3',plain,
( epsb
= ( ^ [V_1: ( $i > $i ) > $i > $o] :
( eps
@ ^ [V_2: $i] : ( V_1 @ ( epsa @ V_1 ) @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
! [R: ( $i > $i ) > $i > $o] :
( ? [X: $i > $i,Y: $i] : ( R @ X @ Y )
=> ( R @ ( epsa @ R ) @ ( epsb @ R ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: ( $i > $i ) > $i > $o] :
( ? [X6: $i > $i,X8: $i] : ( X4 @ X6 @ X8 )
=> ( X4
@ ( epsii
@ ^ [V_1: $i > $i] :
? [X10: $i] : ( X4 @ V_1 @ X10 ) )
@ ( eps
@ ^ [V_2: $i] :
( X4
@ ( epsii
@ ^ [V_3: $i > $i] :
? [X12: $i] : ( X4 @ V_3 @ X12 ) )
@ V_2 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: ( $i > $i ) > $i > $o] :
( ? [X6: $i > $i,X8: $i] : ( X4 @ X6 @ X8 )
=> ( X4
@ ( epsii
@ ^ [V_1: $i > $i] :
? [X10: $i] : ( X4 @ V_1 @ X10 ) )
@ ( eps
@ ^ [V_2: $i] :
( X4
@ ( epsii
@ ^ [V_3: $i > $i] :
? [X12: $i] : ( X4 @ V_3 @ X12 ) )
@ V_2 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: ( $i > $i ) > $i > $o] :
( ( ??
@ ^ [Y1: $i > $i] :
( ??
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
=> ( Y0
@ ( epsii
@ ^ [Y1: $i > $i] :
( ??
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
@ ( eps
@ ^ [Y1: $i] :
( Y0
@ ( epsii
@ ^ [Y2: $i > $i] :
( ??
@ ^ [Y3: $i] : ( Y0 @ Y2 @ Y3 ) ) )
@ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
~ ( !!
@ ^ [Y0: ( $i > $i ) > $i > $o] :
( ( ??
@ ^ [Y1: $i > $i] :
( ??
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
=> ( Y0
@ ( epsii
@ ^ [Y1: $i > $i] :
( ??
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
@ ( eps
@ ( Y0
@ ( epsii
@ ^ [Y1: $i > $i] :
( ??
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl10,plain,
~ ( ( ??
@ ^ [Y0: $i > $i] :
( ??
@ ^ [Y1: $i] : ( '#sk12' @ Y0 @ Y1 ) ) )
=> ( '#sk12'
@ ( epsii
@ ^ [Y0: $i > $i] :
( ??
@ ^ [Y1: $i] : ( '#sk12' @ Y0 @ Y1 ) ) )
@ ( eps
@ ( '#sk12'
@ ( epsii
@ ^ [Y0: $i > $i] :
( ??
@ ^ [Y1: $i] : ( '#sk12' @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
( ??
@ ^ [Y0: $i > $i] :
( ??
@ ^ [Y1: $i] : ( '#sk12' @ Y0 @ Y1 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl13,plain,
( ??
@ ^ [Y0: $i] : ( '#sk12' @ '#sk13' @ Y0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl14,plain,
'#sk12' @ '#sk13' @ '#sk14',
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(choiceaxii,axiom,
! [P: ( $i > $i ) > $o] :
( ? [X: $i > $i] : ( P @ X )
=> ( P @ ( epsii @ P ) ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: ( $i > $i ) > $o] :
( ( ??
@ ^ [Y1: $i > $i] : ( Y0 @ Y1 ) )
=> ( Y0 @ ( epsii @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[choiceaxii]) ).
thf(zip_derived_cl6,plain,
! [X2: ( $i > $i ) > $o] :
( ( ??
@ ^ [Y0: $i > $i] : ( X2 @ Y0 ) )
=> ( X2 @ ( epsii @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl15,plain,
( ( ??
@ ^ [Y0: $i > $i] :
( ??
@ ^ [Y1: $i] : ( '#sk12' @ Y0 @ Y1 ) ) )
=> ( ??
@ ^ [Y0: $i] :
( '#sk12'
@ ( epsii
@ ^ [Y1: $i > $i] :
( ??
@ ^ [Y2: $i] : ( '#sk12' @ Y1 @ Y2 ) ) )
@ Y0 ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl17,plain,
( ~ ( ??
@ ^ [Y0: $i > $i] :
( ??
@ ^ [Y1: $i] : ( '#sk12' @ Y0 @ Y1 ) ) )
| ( ??
@ ^ [Y0: $i] :
( '#sk12'
@ ( epsii
@ ^ [Y1: $i > $i] :
( ??
@ ^ [Y2: $i] : ( '#sk12' @ Y1 @ Y2 ) ) )
@ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl18,plain,
! [X2: $i > $i] :
( ~ ( ??
@ ^ [Y0: $i] : ( '#sk12' @ X2 @ Y0 ) )
| ( ??
@ ^ [Y0: $i] :
( '#sk12'
@ ( epsii
@ ^ [Y1: $i > $i] :
( ??
@ ^ [Y2: $i] : ( '#sk12' @ Y1 @ Y2 ) ) )
@ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
! [X2: $i > $i,X4: $i] :
( ~ ( '#sk12' @ X2 @ X4 )
| ( ??
@ ^ [Y0: $i] :
( '#sk12'
@ ( epsii
@ ^ [Y1: $i > $i] :
( ??
@ ^ [Y2: $i] : ( '#sk12' @ Y1 @ Y2 ) ) )
@ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
! [X2: $i > $i,X4: $i] :
( ( '#sk12'
@ ( epsii
@ ^ [Y0: $i > $i] :
( ??
@ ^ [Y1: $i] : ( '#sk12' @ Y0 @ Y1 ) ) )
@ '#sk17' )
| ~ ( '#sk12' @ X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl42,plain,
( '#sk12'
@ ( epsii
@ ^ [Y0: $i > $i] :
( ??
@ ^ [Y1: $i] : ( '#sk12' @ Y0 @ Y1 ) ) )
@ '#sk17' ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl20]) ).
thf(choiceax,axiom,
! [P: $i > $o] :
( ? [X: $i] : ( P @ X )
=> ( P @ ( eps @ P ) ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( Y0 @ ( eps @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[choiceax]) ).
thf(zip_derived_cl3,plain,
! [X2: $i > $o] :
( ( ??
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
=> ( X2 @ ( eps @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl16,plain,
( ( ??
@ ^ [Y0: $i] :
( '#sk12'
@ ( epsii
@ ^ [Y1: $i > $i] :
( ??
@ ^ [Y2: $i] : ( '#sk12' @ Y1 @ Y2 ) ) )
@ Y0 ) )
=> ( '#sk12'
@ ( epsii
@ ^ [Y0: $i > $i] :
( ??
@ ^ [Y1: $i] : ( '#sk12' @ Y0 @ Y1 ) ) )
@ ( eps
@ ( '#sk12'
@ ( epsii
@ ^ [Y0: $i > $i] :
( ??
@ ^ [Y1: $i] : ( '#sk12' @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl12,plain,
~ ( '#sk12'
@ ( epsii
@ ^ [Y0: $i > $i] :
( ??
@ ^ [Y1: $i] : ( '#sk12' @ Y0 @ Y1 ) ) )
@ ( eps
@ ( '#sk12'
@ ( epsii
@ ^ [Y0: $i > $i] :
( ??
@ ^ [Y1: $i] : ( '#sk12' @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl21,plain,
( ( ??
@ ^ [Y0: $i] :
( '#sk12'
@ ( epsii
@ ^ [Y1: $i > $i] :
( ??
@ ^ [Y2: $i] : ( '#sk12' @ Y1 @ Y2 ) ) )
@ Y0 ) )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl12]) ).
thf(zip_derived_cl22,plain,
( (~)
@ ( ??
@ ^ [Y0: $i] :
( '#sk12'
@ ( epsii
@ ^ [Y1: $i > $i] :
( ??
@ ^ [Y2: $i] : ( '#sk12' @ Y1 @ Y2 ) ) )
@ Y0 ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl23,plain,
~ ( ??
@ ^ [Y0: $i] :
( '#sk12'
@ ( epsii
@ ^ [Y1: $i > $i] :
( ??
@ ^ [Y2: $i] : ( '#sk12' @ Y1 @ Y2 ) ) )
@ Y0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl24,plain,
! [X2: $i] :
~ ( '#sk12'
@ ( epsii
@ ^ [Y0: $i > $i] :
( ??
@ ^ [Y1: $i] : ( '#sk12' @ Y0 @ Y1 ) ) )
@ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl44,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO536^1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6Rz1qAJK0Y true
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 02:11:14 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.21/0.68 % Total configuration time : 828
% 0.21/0.68 % Estimated wc time : 1656
% 0.21/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.66/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.66/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.66/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.66/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.66/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.66/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.66/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.66/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.27/0.82 % Solved by lams/20_acsne_simpl.sh.
% 1.27/0.82 % done 5 iterations in 0.030s
% 1.27/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.27/0.82 % SZS output start Refutation
% See solution above
% 1.27/0.83
% 1.27/0.83
% 1.27/0.83 % Terminating...
% 1.27/0.90 % Runner terminated.
% 1.27/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------