TSTP Solution File: SEV385^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV385^5 : 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.ooRwIkOkSi true
% Computer : n011.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 20:00:36 EDT 2023
% Result : Theorem 0.56s 0.84s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 8 unt; 12 typ; 0 def)
% Number of atoms : 175 ( 121 equ; 48 cnn)
% Maximal formula atoms : 15 ( 6 avg)
% Number of connectives : 408 ( 34 ~; 14 |; 25 &; 296 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 10 usr; 10 con; 0-6 aty)
% ( 11 !!; 11 ??; 0 @@+; 0 @@-)
% Number of variables : 56 ( 13 ^; 27 !; 4 ?; 56 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(a_type,type,
a: $tType ).
thf('#sk2_type',type,
'#sk2': ( b > a ) > a ).
thf('#sk4_type',type,
'#sk4': b > b ).
thf(x_type,type,
x: b ).
thf(y_type,type,
y: a ).
thf('#sk1_type',type,
'#sk1': ( b > a ) > b ).
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(cX6004_pme,conjecture,
? [Xs: b > a] :
( ! [Xx_6: b] :
( ( x = Xx_6 )
=> ( y
= ( Xs @ Xx_6 ) ) )
& ! [Xy_56: a] :
( ( y = Xy_56 )
=> ? [Xy0: b] :
( ( ^ [Xx_7: b] :
( ( Xy_56
= ( Xs @ Xx_7 ) )
& ( x = Xx_7 ) ) )
= ( ^ [Xx: b,Xy: b] : ( Xx = Xy )
@ Xy0 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [Xs: b > a] :
( ! [Xx_6: b] :
( ( x = Xx_6 )
=> ( y
= ( Xs @ Xx_6 ) ) )
& ! [Xy_56: a] :
( ( y = Xy_56 )
=> ? [Xy0: b] :
( ( ^ [Xx_7: b] :
( ( Xy_56
= ( Xs @ Xx_7 ) )
& ( x = Xx_7 ) ) )
= ( ^ [Xx: b,Xy: b] : ( Xx = Xy )
@ Xy0 ) ) ) ),
inference('cnf.neg',[status(esa)],[cX6004_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ??
@ ^ [Y0: b > a] :
( ( !!
@ ^ [Y1: b] :
( ( x = Y1 )
=> ( y
= ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( y = Y1 )
=> ( ??
@ ^ [Y2: b] :
( ( ^ [Y3: b] :
( ( Y1
= ( Y0 @ Y3 ) )
& ( x = Y3 ) ) )
= ( ^ [Y3: b,Y4: b] : ( Y3 = Y4 )
@ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ?? @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ ( b = x ) ) ) @ ( '#B' @ ( a = y ) ) ) ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ ( a = y ) ) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ (=) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) @ ( b = x ) ) ) ) ) @ (=) ) ) ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X2: b > a] :
~ ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( b = x ) ) @ ( '#B' @ ( a = y ) @ X2 ) ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( a = y ) ) @ ( '#B' @ ?? @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ ( b = x ) ) ) ) @ (=) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X2: b > a] :
( ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( b = x ) ) @ ( '#B' @ ( a = y ) @ X2 ) ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( a = y ) ) @ ( '#B' @ ?? @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ ( b = x ) ) ) ) @ (=) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
! [X2: b > a] :
( ~ ( ( x
= ( '#sk1' @ X2 ) )
=> ( y
= ( X2 @ ( '#sk1' @ X2 ) ) ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( a = y ) ) @ ( '#B' @ ?? @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ ( b = x ) ) ) ) @ (=) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
! [X2: b > a] :
( ( y
!= ( X2 @ ( '#sk1' @ X2 ) ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( a = y ) ) @ ( '#B' @ ?? @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ ( b = x ) ) ) ) @ (=) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: b > a] :
( ( y
!= ( X2 @ ( '#sk1' @ X2 ) ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( a = y ) ) @ ( '#B' @ ?? @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ ( b = x ) ) ) ) @ (=) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
! [X2: b > a] :
( ~ ( ( y
= ( '#sk2' @ X2 ) )
=> ( ??
@ ( '#B'
@ ( (>)
= ( '#S'
@ ( '#B' @ (&)
@ ( '#B'
@ ( a
= ( '#sk2' @ X2 ) )
@ X2 ) )
@ ( b = x ) ) )
@ (=) ) ) )
| ( y
!= ( X2 @ ( '#sk1' @ X2 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13,plain,
! [X2: b > a] :
( ( y
= ( '#sk2' @ X2 ) )
| ( y
!= ( X2 @ ( '#sk1' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl17,plain,
! [X2: b > a] :
( ( y
= ( '#sk2' @ X2 ) )
| ( y
!= ( X2 @ ( '#sk1' @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl24,plain,
! [X0: a] :
( ( y
= ( '#sk2' @ ( '#K' @ X0 ) ) )
| ( y
!= ( '#K' @ X0 @ ( '#sk1' @ ( '#K' @ X0 ) ) ) ) ),
inference(narrow_applied_variable,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl25,plain,
! [X0: a] :
( ( y
= ( '#sk2' @ ( '#K' @ X0 ) ) )
| ( y != X0 ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl39,plain,
( y
= ( '#sk2' @ ( '#K' @ y ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl14,plain,
! [X2: b > a] :
( ~ ( ??
@ ( '#B'
@ ( (>)
= ( '#S'
@ ( '#B' @ (&)
@ ( '#B'
@ ( a
= ( '#sk2' @ X2 ) )
@ X2 ) )
@ ( b = x ) ) )
@ (=) ) )
| ( y
!= ( X2 @ ( '#sk1' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl18,plain,
! [X2: b > a,X4: b] :
( ( ( '#S'
@ ( '#B' @ (&)
@ ( '#B'
@ ( a
= ( '#sk2' @ X2 ) )
@ X2 ) )
@ ( b = x ) )
!= ( b = X4 ) )
| ( y
!= ( X2 @ ( '#sk1' @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl20,plain,
! [X2: b > a,X4: b] :
( ( ( '#S'
@ ( '#B' @ (&)
@ ( '#B'
@ ( a
= ( '#sk2' @ X2 ) )
@ X2 ) )
@ ( b = x ) )
!= ( b = X4 ) )
| ( y
!= ( X2 @ ( '#sk1' @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl59,plain,
! [X0: b] :
( ( ( '#S' @ ( '#B' @ (&) @ ( '#B' @ ( a = y ) @ ( '#K' @ y ) ) ) @ ( b = x ) )
!= ( b = X0 ) )
| ( y
!= ( '#K' @ y @ ( '#sk1' @ ( '#K' @ y ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl20]) ).
thf(zip_derived_cl78,plain,
! [X0: b] :
( ( ( '#S' @ ( '#B' @ (&) @ ( '#K' @ ( y = y ) ) ) @ ( b = x ) )
!= ( b = X0 ) )
| ( y != y ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl79,plain,
! [X0: b] :
( ( '#S' @ ( '#B' @ (&) @ ( '#K' @ ( y = y ) ) ) @ ( b = x ) )
!= ( b = X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl80,plain,
! [X0: b] :
( ( '#S' @ ( '#K' @ ( (&) @ ( y = y ) ) ) @ ( b = x ) )
!= ( b = X0 ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl81,plain,
! [X0: b] :
( ( '#S' @ ( '#K' @ ( (&) @ $true ) ) @ ( b = x ) )
!= ( b = X0 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl82,plain,
! [X0: b] :
( ( '#B' @ ( (&) @ $true ) @ ( b = x ) )
!= ( b = X0 ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl83,plain,
! [X0: b] :
( ( $true
& ( x
= ( '#sk4' @ X0 ) ) )
!= ( X0
= ( '#sk4' @ X0 ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl84,plain,
! [X0: b] :
( ( x
= ( '#sk4' @ X0 ) )
!= ( X0
= ( '#sk4' @ X0 ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl87,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV385^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ooRwIkOkSi true
% 0.14/0.35 % Computer : n011.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 02:06:52 EDT 2023
% 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
% 0.21/0.62 % Total configuration time : 828
% 0.21/0.62 % Estimated wc time : 1656
% 0.21/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.84 % Solved by lams/40_b.comb.sh.
% 0.56/0.84 % done 9 iterations in 0.054s
% 0.56/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.84 % SZS output start Refutation
% See solution above
% 0.56/0.84
% 0.56/0.84
% 0.56/0.84 % Terminating...
% 0.58/0.94 % Runner terminated.
% 2.02/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------