TSTP Solution File: SEV169^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV169^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zIy5NG9guO true
% Computer : n027.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 19:59:52 EDT 2023
% Result : Theorem 1.80s 1.21s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 27 unt; 8 typ; 0 def)
% Number of atoms : 71 ( 60 equ; 11 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 364 ( 7 ~; 0 |; 17 &; 329 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 3 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 78 ( 78 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 7 usr; 6 con; 0-6 aty)
% ( 5 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 83 ( 56 ^; 15 !; 0 ?; 83 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk2_type',type,
'#sk2': ( a > a > a ) > a ).
thf('#sk1_type',type,
'#sk1': ( a > a > a ) > a ).
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(cTHM188_pme,conjecture,
! [Xp: ( a > a > a ) > a,Xq: ( a > a > a ) > a] :
( ( ( ( Xp
@ ^ [Xx: a,Xy: a] : Xy )
= ( Xq
@ ^ [Xx: a,Xy: a] : Xy ) )
& ( ( Xp
@ ^ [Xx: a,Xy: a] : Xx )
= ( Xq
@ ^ [Xx: a,Xy: a] : Xx ) )
& ( Xq
= ( ^ [Xg: a > a > a] :
( Xg
@ ( Xq
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xq
@ ^ [Xx: a,Xy: a] : Xy ) ) ) )
& ( Xp
= ( ^ [Xg: a > a > a] :
( Xg
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xy ) ) ) ) )
=> ( Xp = Xq ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xp: ( a > a > a ) > a,Xq: ( a > a > a ) > a] :
( ( ( ( Xp
@ ^ [Xx: a,Xy: a] : Xy )
= ( Xq
@ ^ [Xx: a,Xy: a] : Xy ) )
& ( ( Xp
@ ^ [Xx: a,Xy: a] : Xx )
= ( Xq
@ ^ [Xx: a,Xy: a] : Xx ) )
& ( Xq
= ( ^ [Xg: a > a > a] :
( Xg
@ ( Xq
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xq
@ ^ [Xx: a,Xy: a] : Xy ) ) ) )
& ( Xp
= ( ^ [Xg: a > a > a] :
( Xg
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xy ) ) ) ) )
=> ( Xp = Xq ) ),
inference('cnf.neg',[status(esa)],[cTHM188_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: ( a > a > a ) > a] :
( !!
@ ^ [Y1: ( a > a > a ) > a] :
( ( ( ( Y0
@ ^ [Y2: a,Y3: a] : Y3 )
= ( Y1
@ ^ [Y2: a,Y3: a] : Y3 ) )
& ( ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
= ( Y1
@ ^ [Y2: a,Y3: a] : Y2 ) )
& ( Y1
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) )
& ( Y0
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) ) )
=> ( Y0 = Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#C' @ ( '#B' @ '#S' @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ ( '#C' @ '#I' @ ( '#K' @ '#I' ) ) ) ) @ ( '#C' @ '#I' @ ( '#K' @ '#I' ) ) ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ ( '#C' @ '#I' @ '#K' ) ) ) @ ( '#C' @ '#I' @ '#K' ) ) ) ) @ ( '#S' @ (=) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#C' @ '#I' ) @ ( '#C' @ '#I' @ '#K' ) ) ) @ ( '#C' @ '#I' @ ( '#K' @ '#I' ) ) ) ) ) ) @ ( '#S' @ (=) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#C' @ '#I' ) @ ( '#C' @ '#I' @ '#K' ) ) ) @ ( '#C' @ '#I' @ ( '#K' @ '#I' ) ) ) ) ) ) ) @ (=) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ( '#S'
@ ( '#B' @ (=>)
@ ( '#C'
@ ( '#S'
@ ( '#S'
@ ( '#B' @ (&)
@ ( '#B'
@ ( a
= ( '#sk1' @ ( '#K' @ '#I' ) ) )
@ ( '#C' @ '#I' @ ( '#K' @ '#I' ) ) ) )
@ ( '#B'
@ ( a
= ( '#sk1' @ '#K' ) )
@ ( '#C' @ '#I' @ '#K' ) ) )
@ ( '#S' @ (=) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#C' @ '#I' ) @ ( '#C' @ '#I' @ '#K' ) ) ) @ ( '#C' @ '#I' @ ( '#K' @ '#I' ) ) ) ) )
@ ( '#sk1'
= ( '#C' @ ( '#C' @ '#I' @ ( '#sk1' @ '#K' ) ) @ ( '#sk1' @ ( '#K' @ '#I' ) ) ) ) ) )
@ ( (>) = '#sk1' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( ( ( '#sk1' @ ( '#K' @ '#I' ) )
= ( '#sk2' @ ( '#K' @ '#I' ) ) )
& ( ( '#sk1' @ '#K' )
= ( '#sk2' @ '#K' ) )
& ( '#sk2'
= ( '#C' @ ( '#C' @ '#I' @ ( '#sk2' @ '#K' ) ) @ ( '#sk2' @ ( '#K' @ '#I' ) ) ) )
& ( '#sk1'
= ( '#C' @ ( '#C' @ '#I' @ ( '#sk1' @ '#K' ) ) @ ( '#sk1' @ ( '#K' @ '#I' ) ) ) ) )
=> ( '#sk1' = '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ( ( '#sk1' @ ( '#K' @ '#I' ) )
= ( '#sk2' @ ( '#K' @ '#I' ) ) )
& ( ( '#sk1' @ '#K' )
= ( '#sk2' @ '#K' ) )
& ( '#sk2'
= ( '#C' @ ( '#C' @ '#I' @ ( '#sk2' @ '#K' ) ) @ ( '#sk2' @ ( '#K' @ '#I' ) ) ) )
& ( '#sk1'
= ( '#C' @ ( '#C' @ '#I' @ ( '#sk1' @ '#K' ) ) @ ( '#sk1' @ ( '#K' @ '#I' ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
( '#sk1'
= ( '#C' @ ( '#C' @ '#I' @ ( '#sk1' @ '#K' ) ) @ ( '#sk1' @ ( '#K' @ '#I' ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl14,plain,
( '#sk1'
= ( '#C' @ ( '#C' @ '#I' @ ( '#sk1' @ '#K' ) ) @ ( '#sk1' @ ( '#K' @ '#I' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl36,plain,
! [X1: a > a > a] :
( ( '#sk1' @ X1 )
= ( '#C' @ ( '#C' @ '#I' @ ( '#sk1' @ '#K' ) ) @ ( '#sk1' @ ( '#K' @ '#I' ) ) @ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl37,plain,
! [X1: a > a > a] :
( ( '#sk1' @ X1 )
= ( X1 @ ( '#sk1' @ '#K' ) @ ( '#sk1' @ ( '#K' @ '#I' ) ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl6,plain,
( ( '#sk1' @ ( '#K' @ '#I' ) )
= ( '#sk2' @ ( '#K' @ '#I' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
( ( '#sk1' @ ( '#K' @ '#I' ) )
= ( '#sk2' @ ( '#K' @ '#I' ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
( '#sk2'
= ( '#C' @ ( '#C' @ '#I' @ ( '#sk2' @ '#K' ) ) @ ( '#sk2' @ ( '#K' @ '#I' ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl13,plain,
( '#sk2'
= ( '#C' @ ( '#C' @ '#I' @ ( '#sk2' @ '#K' ) ) @ ( '#sk2' @ ( '#K' @ '#I' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl18,plain,
! [X1: a > a > a] :
( ( '#sk2' @ X1 )
= ( '#C' @ ( '#C' @ '#I' @ ( '#sk2' @ '#K' ) ) @ ( '#sk2' @ ( '#K' @ '#I' ) ) @ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
! [X1: a > a > a] :
( ( '#sk2' @ X1 )
= ( X1 @ ( '#sk2' @ '#K' ) @ ( '#sk2' @ ( '#K' @ '#I' ) ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl24,plain,
! [X0: a > a > a] :
( ( '#sk2' @ ( '#C' @ X0 ) )
= ( '#C' @ X0 @ ( '#sk2' @ '#K' ) @ ( '#sk2' @ ( '#K' @ '#I' ) ) ) ),
inference(narrow_applied_variable,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl31,plain,
! [X0: a > a > a] :
( ( '#sk2' @ ( '#C' @ X0 ) )
= ( X0 @ ( '#sk2' @ ( '#K' @ '#I' ) ) @ ( '#sk2' @ '#K' ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl256,plain,
( ( '#sk2' @ ( '#C' @ '#K' ) )
= ( '#K' @ ( '#sk2' @ ( '#K' @ '#I' ) ) @ ( '#sk2' @ '#K' ) ) ),
inference(narrow_applied_variable,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl259,plain,
( ( '#sk2' @ ( '#C' @ '#K' ) )
= ( '#sk2' @ ( '#K' @ '#I' ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl256]) ).
thf(zip_derived_cl267,plain,
( ( '#sk1' @ ( '#K' @ '#I' ) )
= ( '#sk2' @ ( '#C' @ '#K' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl259]) ).
thf(zip_derived_cl347,plain,
! [X1: a > a > a] :
( ( '#sk1' @ X1 )
= ( X1 @ ( '#sk1' @ '#K' ) @ ( '#sk2' @ ( '#C' @ '#K' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl267]) ).
thf(zip_derived_cl7,plain,
( ( '#sk1' @ '#K' )
= ( '#sk2' @ '#K' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl12,plain,
( ( '#sk1' @ '#K' )
= ( '#sk2' @ '#K' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl19_001,plain,
! [X1: a > a > a] :
( ( '#sk2' @ X1 )
= ( X1 @ ( '#sk2' @ '#K' ) @ ( '#sk2' @ ( '#K' @ '#I' ) ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl21,plain,
! [X0: a > a > a] :
( ( '#sk2' @ X0 )
= ( X0 @ ( '#sk1' @ '#K' ) @ ( '#sk2' @ ( '#K' @ '#I' ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl19]) ).
thf(zip_derived_cl259_002,plain,
( ( '#sk2' @ ( '#C' @ '#K' ) )
= ( '#sk2' @ ( '#K' @ '#I' ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl256]) ).
thf(zip_derived_cl271,plain,
! [X0: a > a > a] :
( ( '#sk2' @ X0 )
= ( X0 @ ( '#sk1' @ '#K' ) @ ( '#sk2' @ ( '#C' @ '#K' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl259]) ).
thf(zip_derived_cl348,plain,
! [X0: a > a > a] :
( ( '#sk2' @ X0 )
= ( '#sk1' @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl347,zip_derived_cl271]) ).
thf(zip_derived_cl385,plain,
'#sk2' = '#sk1',
inference(ho_ext_pos_general,[status(thm)],[zip_derived_cl348]) ).
thf(zip_derived_cl5,plain,
'#sk1' != '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
'#sk1' != '#sk2',
inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl386,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl385,zip_derived_cl10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV169^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zIy5NG9guO true
% 0.14/0.35 % Computer : n027.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 : Thu Aug 24 02:29:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.85 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.25/0.85 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 1.25/0.86 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.25/0.89 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 1.68/1.03 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 1.80/1.21 % Solved by lams/40_b.comb.sh.
% 1.80/1.21 % done 53 iterations in 0.391s
% 1.80/1.21 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.80/1.21 % SZS output start Refutation
% See solution above
% 1.80/1.21
% 1.80/1.21
% 1.80/1.21 % Terminating...
% 2.21/1.30 % Runner terminated.
% 2.37/1.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------