TSTP Solution File: SEV400^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV400^5 : 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.BYcHRMTEn9 true
% Computer : n009.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 20:00:40 EDT 2023
% Result : Theorem 164.09s 21.81s
% Output : Refutation 164.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 90 ( 10 unt; 11 typ; 0 def)
% Number of atoms : 427 ( 0 equ; 102 cnn)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 1615 ( 114 ~; 166 |; 32 &;1080 @)
% ( 0 <=>; 126 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 110 ( 110 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 11 usr; 5 con; 0-6 aty)
% ( 95 !!; 2 ??; 0 @@+; 0 @@-)
% Number of variables : 123 ( 7 ^; 102 !; 2 ?; 123 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf('#sk4_type',type,
'#sk4': ( $i > $o ) > $i ).
thf('#sk2_type',type,
'#sk2': ( $i > $o ) > $i ).
thf(cQ_type,type,
cQ: $i > $o ).
thf('#sk1_type',type,
'#sk1': ( $i > $o ) > $i ).
thf(cP_type,type,
cP: $i > $o ).
thf('#sk3_type',type,
'#sk3': ( $i > $o ) > $i > $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(cTHM590_pme,conjecture,
? [S: $i > $o] :
( ! [Xx: $i] :
( ( S @ Xx )
=> ( cP @ Xx ) )
& ! [Xx: $i] :
( ( S @ Xx )
=> ( cQ @ Xx ) )
& ! [R: $i > $o] :
( ( ! [Xx: $i] :
( ( R @ Xx )
=> ( cQ @ Xx ) )
& ! [Xx: $i] :
( ( R @ Xx )
=> ( cP @ Xx ) ) )
=> ! [Xx: $i] :
( ( R @ Xx )
=> ( S @ Xx ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [S: $i > $o] :
( ! [Xx: $i] :
( ( S @ Xx )
=> ( cP @ Xx ) )
& ! [Xx: $i] :
( ( S @ Xx )
=> ( cQ @ Xx ) )
& ! [R: $i > $o] :
( ( ! [Xx: $i] :
( ( R @ Xx )
=> ( cQ @ Xx ) )
& ! [Xx: $i] :
( ( R @ Xx )
=> ( cP @ Xx ) ) )
=> ! [Xx: $i] :
( ( R @ Xx )
=> ( S @ Xx ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM590_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( cP @ Y1 ) ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( cQ @ Y1 ) ) )
& ( !!
@ ^ [Y1: $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( cQ @ Y2 ) ) )
& ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( cP @ Y2 ) ) ) )
=> ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ?? @ ( '#S' @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cP ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cQ ) ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cQ ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cP ) ) ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) ) ) ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X2: $i > $o] :
~ ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ X2 ) @ cP ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ X2 ) @ cQ ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cQ ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cP ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X2: $i > $o] :
( ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ X2 ) @ cP ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ X2 ) @ cQ ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cQ ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cP ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ X2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
! [X2: $i > $o] :
( ~ ( ( X2 @ ( '#sk1' @ X2 ) )
=> ( cP @ ( '#sk1' @ X2 ) ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cQ ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cP ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ X2 ) ) ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ X2 ) @ cQ ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
! [X2: $i > $o] :
( ~ ( cP @ ( '#sk1' @ X2 ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ X2 ) @ cQ ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cQ ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cP ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
! [X2: $i > $o] :
( ~ ( ( X2 @ ( '#sk2' @ X2 ) )
=> ( cQ @ ( '#sk2' @ X2 ) ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cQ ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cP ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ X2 ) ) ) )
| ~ ( cP @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
! [X2: $i > $o] :
( ~ ( cQ @ ( '#sk2' @ X2 ) )
| ~ ( cP @ ( '#sk1' @ X2 ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cQ ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cP ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
! [X2: $i > $o] :
( ~ ( ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cQ ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cP ) ) )
=> ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ X2 ) ) )
| ~ ( cP @ ( '#sk1' @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl23,plain,
! [X2: $i > $o] :
( ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cQ ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cP ) ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) )
| ~ ( cP @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl35,plain,
! [X2: $i > $o] :
( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cP ) )
| ~ ( cP @ ( '#sk1' @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl50,plain,
! [X2: $i > $o,X4: $i] :
( ( ( '#sk3' @ X2 @ X4 )
=> ( cP @ X4 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) )
| ~ ( cP @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl60,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( '#sk3' @ X2 @ X4 )
| ( cP @ X4 )
| ~ ( cP @ ( '#sk1' @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl34,plain,
! [X2: $i > $o] :
( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cQ ) )
| ~ ( cP @ ( '#sk1' @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl49,plain,
! [X2: $i > $o,X4: $i] :
( ( ( '#sk3' @ X2 @ X4 )
=> ( cQ @ X4 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) )
| ~ ( cP @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl59,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( '#sk3' @ X2 @ X4 )
| ( cQ @ X4 )
| ~ ( cP @ ( '#sk1' @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl24,plain,
! [X2: $i > $o] :
( ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) )
| ~ ( cP @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl36,plain,
! [X2: $i > $o] :
( ~ ( ( '#sk3' @ X2 @ ( '#sk4' @ X2 ) )
=> ( X2 @ ( '#sk4' @ X2 ) ) )
| ~ ( cP @ ( '#sk1' @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl51,plain,
! [X2: $i > $o] :
( ( '#sk3' @ X2 @ ( '#sk4' @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) )
| ~ ( cP @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl52,plain,
! [X2: $i > $o] :
( ~ ( X2 @ ( '#sk4' @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) )
| ~ ( cP @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl5,plain,
! [X2: $i > $o] :
( ( X2 @ ( '#sk1' @ X2 ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ X2 ) @ cQ ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cQ ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cP ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
! [X2: $i > $o] :
( ~ ( ( X2 @ ( '#sk2' @ X2 ) )
=> ( cQ @ ( '#sk2' @ X2 ) ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cQ ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cP ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ X2 ) ) ) )
| ( X2 @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X2: $i > $o] :
( ~ ( cQ @ ( '#sk2' @ X2 ) )
| ( X2 @ ( '#sk1' @ X2 ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cQ ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cP ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl14,plain,
! [X2: $i > $o] :
( ~ ( ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cQ ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cP ) ) )
=> ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ X2 ) ) )
| ( X2 @ ( '#sk1' @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl20,plain,
! [X2: $i > $o] :
( ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) )
| ( X2 @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl30,plain,
! [X2: $i > $o] :
( ~ ( ( '#sk3' @ X2 @ ( '#sk4' @ X2 ) )
=> ( X2 @ ( '#sk4' @ X2 ) ) )
| ( X2 @ ( '#sk1' @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl43,plain,
! [X2: $i > $o] :
( ( '#sk3' @ X2 @ ( '#sk4' @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) )
| ( X2 @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl19,plain,
! [X2: $i > $o] :
( ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cQ ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cP ) ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) )
| ( X2 @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl28,plain,
! [X2: $i > $o] :
( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cQ ) )
| ( X2 @ ( '#sk1' @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl41,plain,
! [X2: $i > $o,X4: $i] :
( ( ( '#sk3' @ X2 @ X4 )
=> ( cQ @ X4 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) )
| ( X2 @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl55,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( '#sk3' @ X2 @ X4 )
| ( cQ @ X4 )
| ( X2 @ ( '#sk1' @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl1085,plain,
! [X0: $i > $o] :
( ( X0 @ ( '#sk1' @ X0 ) )
| ~ ( cQ @ ( '#sk2' @ X0 ) )
| ~ ( cQ @ ( '#sk2' @ X0 ) )
| ( X0 @ ( '#sk1' @ X0 ) )
| ( cQ @ ( '#sk4' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl55]) ).
thf(zip_derived_cl1140,plain,
! [X0: $i > $o] :
( ( cQ @ ( '#sk4' @ X0 ) )
| ~ ( cQ @ ( '#sk2' @ X0 ) )
| ( X0 @ ( '#sk1' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1085]) ).
thf(zip_derived_cl43_001,plain,
! [X2: $i > $o] :
( ( '#sk3' @ X2 @ ( '#sk4' @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) )
| ( X2 @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl29,plain,
! [X2: $i > $o] :
( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cP ) )
| ( X2 @ ( '#sk1' @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl42,plain,
! [X2: $i > $o,X4: $i] :
( ( ( '#sk3' @ X2 @ X4 )
=> ( cP @ X4 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) )
| ( X2 @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl56,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( '#sk3' @ X2 @ X4 )
| ( cP @ X4 )
| ( X2 @ ( '#sk1' @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl1328,plain,
! [X0: $i > $o] :
( ( X0 @ ( '#sk1' @ X0 ) )
| ~ ( cQ @ ( '#sk2' @ X0 ) )
| ~ ( cQ @ ( '#sk2' @ X0 ) )
| ( X0 @ ( '#sk1' @ X0 ) )
| ( cP @ ( '#sk4' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl56]) ).
thf(zip_derived_cl1394,plain,
! [X0: $i > $o] :
( ( cP @ ( '#sk4' @ X0 ) )
| ~ ( cQ @ ( '#sk2' @ X0 ) )
| ( X0 @ ( '#sk1' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1328]) ).
thf(zip_derived_cl44,plain,
! [X2: $i > $o] :
( ~ ( X2 @ ( '#sk4' @ X2 ) )
| ~ ( cQ @ ( '#sk2' @ X2 ) )
| ( X2 @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl11,plain,
! [X2: $i > $o] :
( ( X2 @ ( '#sk2' @ X2 ) )
| ~ ( cP @ ( '#sk1' @ X2 ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cQ ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cP ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
! [X2: $i > $o] :
( ~ ( ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cQ ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cP ) ) )
=> ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ X2 ) ) )
| ~ ( cP @ ( '#sk1' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl22,plain,
! [X2: $i > $o] :
( ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) )
| ~ ( cP @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl33,plain,
! [X2: $i > $o] :
( ~ ( ( '#sk3' @ X2 @ ( '#sk4' @ X2 ) )
=> ( X2 @ ( '#sk4' @ X2 ) ) )
| ~ ( cP @ ( '#sk1' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl48,plain,
! [X2: $i > $o] :
( ~ ( X2 @ ( '#sk4' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) )
| ~ ( cP @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl47,plain,
! [X2: $i > $o] :
( ( '#sk3' @ X2 @ ( '#sk4' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) )
| ~ ( cP @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl21,plain,
! [X2: $i > $o] :
( ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cQ ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cP ) ) )
| ( X2 @ ( '#sk2' @ X2 ) )
| ~ ( cP @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl32,plain,
! [X2: $i > $o] :
( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cP ) )
| ~ ( cP @ ( '#sk1' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl46,plain,
! [X2: $i > $o,X4: $i] :
( ( ( '#sk3' @ X2 @ X4 )
=> ( cP @ X4 ) )
| ( X2 @ ( '#sk2' @ X2 ) )
| ~ ( cP @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl58,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( '#sk3' @ X2 @ X4 )
| ( cP @ X4 )
| ~ ( cP @ ( '#sk1' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl1983,plain,
! [X0: $i > $o] :
( ~ ( cP @ ( '#sk1' @ X0 ) )
| ( X0 @ ( '#sk2' @ X0 ) )
| ( X0 @ ( '#sk2' @ X0 ) )
| ~ ( cP @ ( '#sk1' @ X0 ) )
| ( cP @ ( '#sk4' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl58]) ).
thf(zip_derived_cl2051,plain,
! [X0: $i > $o] :
( ( cP @ ( '#sk4' @ X0 ) )
| ( X0 @ ( '#sk2' @ X0 ) )
| ~ ( cP @ ( '#sk1' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1983]) ).
thf(zip_derived_cl9,plain,
! [X2: $i > $o] :
( ( X2 @ ( '#sk2' @ X2 ) )
| ( X2 @ ( '#sk1' @ X2 ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cQ ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ cP ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
! [X2: $i > $o] :
( ~ ( ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cQ ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cP ) ) )
=> ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ X2 ) ) )
| ( X2 @ ( '#sk1' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
! [X2: $i > $o] :
( ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) )
| ( X2 @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl27,plain,
! [X2: $i > $o] :
( ~ ( ( '#sk3' @ X2 @ ( '#sk4' @ X2 ) )
=> ( X2 @ ( '#sk4' @ X2 ) ) )
| ( X2 @ ( '#sk1' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl39,plain,
! [X2: $i > $o] :
( ( '#sk3' @ X2 @ ( '#sk4' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) )
| ( X2 @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl17,plain,
! [X2: $i > $o] :
( ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cQ ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cP ) ) )
| ( X2 @ ( '#sk2' @ X2 ) )
| ( X2 @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl25,plain,
! [X2: $i > $o] :
( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cQ ) )
| ( X2 @ ( '#sk1' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl37,plain,
! [X2: $i > $o,X4: $i] :
( ( ( '#sk3' @ X2 @ X4 )
=> ( cQ @ X4 ) )
| ( X2 @ ( '#sk2' @ X2 ) )
| ( X2 @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl53,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( '#sk3' @ X2 @ X4 )
| ( cQ @ X4 )
| ( X2 @ ( '#sk1' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl573,plain,
! [X0: $i > $o] :
( ( X0 @ ( '#sk1' @ X0 ) )
| ( X0 @ ( '#sk2' @ X0 ) )
| ( X0 @ ( '#sk2' @ X0 ) )
| ( X0 @ ( '#sk1' @ X0 ) )
| ( cQ @ ( '#sk4' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl53]) ).
thf(zip_derived_cl633,plain,
! [X0: $i > $o] :
( ( cQ @ ( '#sk4' @ X0 ) )
| ( X0 @ ( '#sk2' @ X0 ) )
| ( X0 @ ( '#sk1' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl573]) ).
thf(zip_derived_cl39_002,plain,
! [X2: $i > $o] :
( ( '#sk3' @ X2 @ ( '#sk4' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) )
| ( X2 @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl26,plain,
! [X2: $i > $o] :
( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cP ) )
| ( X2 @ ( '#sk1' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl38,plain,
! [X2: $i > $o,X4: $i] :
( ( ( '#sk3' @ X2 @ X4 )
=> ( cP @ X4 ) )
| ( X2 @ ( '#sk2' @ X2 ) )
| ( X2 @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl54,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( '#sk3' @ X2 @ X4 )
| ( cP @ X4 )
| ( X2 @ ( '#sk1' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl770,plain,
! [X0: $i > $o] :
( ( X0 @ ( '#sk1' @ X0 ) )
| ( X0 @ ( '#sk2' @ X0 ) )
| ( X0 @ ( '#sk2' @ X0 ) )
| ( X0 @ ( '#sk1' @ X0 ) )
| ( cP @ ( '#sk4' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl54]) ).
thf(zip_derived_cl845,plain,
! [X0: $i > $o] :
( ( cP @ ( '#sk4' @ X0 ) )
| ( X0 @ ( '#sk2' @ X0 ) )
| ( X0 @ ( '#sk1' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl770]) ).
thf(zip_derived_cl47_003,plain,
! [X2: $i > $o] :
( ( '#sk3' @ X2 @ ( '#sk4' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) )
| ~ ( cP @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl31,plain,
! [X2: $i > $o] :
( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#sk3' @ X2 ) ) @ cQ ) )
| ~ ( cP @ ( '#sk1' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl45,plain,
! [X2: $i > $o,X4: $i] :
( ( ( '#sk3' @ X2 @ X4 )
=> ( cQ @ X4 ) )
| ( X2 @ ( '#sk2' @ X2 ) )
| ~ ( cP @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl57,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( '#sk3' @ X2 @ X4 )
| ( cQ @ X4 )
| ~ ( cP @ ( '#sk1' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl1551,plain,
! [X0: $i > $o] :
( ~ ( cP @ ( '#sk1' @ X0 ) )
| ( X0 @ ( '#sk2' @ X0 ) )
| ( X0 @ ( '#sk2' @ X0 ) )
| ~ ( cP @ ( '#sk1' @ X0 ) )
| ( cQ @ ( '#sk4' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl57]) ).
thf(zip_derived_cl1607,plain,
! [X0: $i > $o] :
( ( cQ @ ( '#sk4' @ X0 ) )
| ( X0 @ ( '#sk2' @ X0 ) )
| ~ ( cP @ ( '#sk1' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1551]) ).
thf(zip_derived_cl40,plain,
! [X2: $i > $o] :
( ~ ( X2 @ ( '#sk4' @ X2 ) )
| ( X2 @ ( '#sk2' @ X2 ) )
| ( X2 @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl18308,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl60,zip_derived_cl59,zip_derived_cl51,zip_derived_cl52,zip_derived_cl1140,zip_derived_cl1394,zip_derived_cl44,zip_derived_cl48,zip_derived_cl2051,zip_derived_cl633,zip_derived_cl845,zip_derived_cl1607,zip_derived_cl40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV400^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BYcHRMTEn9 true
% 0.14/0.35 % Computer : n009.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 02:20:21 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
% 0.52/0.67 % Total configuration time : 828
% 0.52/0.67 % Estimated wc time : 1656
% 0.52/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 164.09/21.81 % Solved by lams/40_b.comb.sh.
% 164.09/21.81 % done 528 iterations in 20.973s
% 164.09/21.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 164.09/21.81 % SZS output start Refutation
% See solution above
% 164.09/21.82
% 164.09/21.82
% 164.09/21.82 % Terminating...
% 164.90/21.94 % Runner terminated.
% 164.90/21.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------