TSTP Solution File: SEU897^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU897^5 : 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.OzocHD8RvU true
% Computer : n004.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 19:18:46 EDT 2023
% Result : Theorem 1.62s 0.95s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 14
% Syntax : Number of formulae : 85 ( 12 unt; 13 typ; 0 def)
% Number of atoms : 399 ( 88 equ; 79 cnn)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 1081 ( 104 ~; 117 |; 51 &; 711 @)
% ( 2 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 12 usr; 9 con; 0-6 aty)
% ( 28 !!; 41 ??; 0 @@+; 0 @@-)
% Number of variables : 100 ( 5 ^; 79 !; 4 ?; 100 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk5_type',type,
'#sk5': ( a > a ) > a > a ).
thf('#sk3_type',type,
'#sk3': a ).
thf(cR_type,type,
cR: a > $o ).
thf('#sk1_type',type,
'#sk1': a ).
thf('#sk2_type',type,
'#sk2': a > a ).
thf(cS_type,type,
cS: a > $o ).
thf('#sk4_type',type,
'#sk4': 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(cTHM30_pme,conjecture,
( ! [Xx: a] :
( ( cR @ Xx )
=> ( cS @ Xx ) )
<=> ! [F: a > a,Xx: a] :
( ? [Xt: a] :
( ( cR @ Xt )
& ( Xx
= ( F @ Xt ) ) )
=> ? [Xt: a] :
( ( cS @ Xt )
& ( Xx
= ( F @ Xt ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [Xx: a] :
( ( cR @ Xx )
=> ( cS @ Xx ) )
<=> ! [F: a > a,Xx: a] :
( ? [Xt: a] :
( ( cR @ Xt )
& ( Xx
= ( F @ Xt ) ) )
=> ? [Xt: a] :
( ( cS @ Xt )
& ( Xx
= ( F @ Xt ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM30_pme]) ).
thf(zip_derived_cl0,plain,
( ( !!
@ ^ [Y0: a] :
( ( cR @ Y0 )
=> ( cS @ Y0 ) ) )
!= ( !!
@ ^ [Y0: a > a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a] :
( ( cR @ Y2 )
& ( Y1
= ( Y0 @ Y2 ) ) ) )
=> ( ??
@ ^ [Y2: a] :
( ( cS @ Y2 )
& ( Y1
= ( Y0 @ Y2 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
( ( !! @ ( '#S' @ ( '#B' @ (=>) @ cR ) @ cS ) )
!= ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cR ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cS ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( ( !! @ ( '#S' @ ( '#B' @ (=>) @ cR ) @ cS ) )
| ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cR ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cS ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl31,plain,
! [X2: a] :
( ( ( cR @ X2 )
=> ( cS @ X2 ) )
| ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cR ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cS ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl32,plain,
! [X2: a] :
( ~ ( cR @ X2 )
| ( cS @ X2 )
| ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cR ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cS ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl33,plain,
! [X2: a,X4: a > a] :
( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#B' @ ?? @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cR ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X4 ) ) ) ) @ ( '#B' @ ?? @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cS ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X4 ) ) ) ) )
| ( cS @ X2 )
| ~ ( cR @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl34,plain,
! [X2: a,X4: a > a,X6: a] :
( ( ( ?? @ ( '#S' @ ( '#B' @ (&) @ cR ) @ ( '#B' @ ( a = X6 ) @ X4 ) ) )
=> ( ?? @ ( '#S' @ ( '#B' @ (&) @ cS ) @ ( '#B' @ ( a = X6 ) @ X4 ) ) ) )
| ~ ( cR @ X2 )
| ( cS @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl35,plain,
! [X2: a,X4: a > a,X6: a] :
( ~ ( ?? @ ( '#S' @ ( '#B' @ (&) @ cR ) @ ( '#B' @ ( a = X6 ) @ X4 ) ) )
| ( ?? @ ( '#S' @ ( '#B' @ (&) @ cS ) @ ( '#B' @ ( a = X6 ) @ X4 ) ) )
| ( cS @ X2 )
| ~ ( cR @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl36,plain,
! [X2: a,X4: a > a,X6: a,X8: a] :
( ~ ( ( cR @ X8 )
& ( X6
= ( X4 @ X8 ) ) )
| ~ ( cR @ X2 )
| ( cS @ X2 )
| ( ?? @ ( '#S' @ ( '#B' @ (&) @ cS ) @ ( '#B' @ ( a = X6 ) @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl37,plain,
! [X2: a,X4: a > a,X6: a,X8: a] :
( ~ ( cR @ X8 )
| ( X6
!= ( X4 @ X8 ) )
| ( ?? @ ( '#S' @ ( '#B' @ (&) @ cS ) @ ( '#B' @ ( a = X6 ) @ X4 ) ) )
| ( cS @ X2 )
| ~ ( cR @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl38,plain,
! [X2: a,X4: a > a,X6: a,X8: a] :
( ~ ( cR @ X8 )
| ( X6
!= ( X4 @ X8 ) )
| ( ?? @ ( '#S' @ ( '#B' @ (&) @ cS ) @ ( '#B' @ ( a = X6 ) @ X4 ) ) )
| ( cS @ X2 )
| ~ ( cR @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl39,plain,
! [X2: a,X4: a > a,X6: a,X8: a] :
( ( ( cS @ ( '#sk5' @ X4 @ X6 ) )
& ( X6
= ( X4 @ ( '#sk5' @ X4 @ X6 ) ) ) )
| ~ ( cR @ X2 )
| ( cS @ X2 )
| ( X6
!= ( X4 @ X8 ) )
| ~ ( cR @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl41,plain,
! [X2: a,X4: a > a,X6: a,X8: a] :
( ( X6
= ( X4 @ ( '#sk5' @ X4 @ X6 ) ) )
| ~ ( cR @ X8 )
| ( X6
!= ( X4 @ X8 ) )
| ( cS @ X2 )
| ~ ( cR @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl42,plain,
! [X2: a,X4: a > a,X6: a,X8: a] :
( ( X6
= ( X4 @ ( '#sk5' @ X4 @ X6 ) ) )
| ~ ( cR @ X8 )
| ( X6
!= ( X4 @ X8 ) )
| ( cS @ X2 )
| ~ ( cR @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl114,plain,
! [X0: a,X1: a,X2: a] :
( ( X1
= ( '#I' @ ( '#sk5' @ '#I' @ X1 ) ) )
| ~ ( cR @ X0 )
| ( X1
!= ( '#I' @ X0 ) )
| ( cS @ X2 )
| ~ ( cR @ X2 ) ),
inference(narrow_applied_variable,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl115,plain,
! [X0: a,X1: a,X2: a] :
( ( X1
= ( '#sk5' @ '#I' @ X1 ) )
| ~ ( cR @ X0 )
| ( X1 != X0 )
| ( cS @ X2 )
| ~ ( cR @ X2 ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl131,plain,
! [X0: a,X1: a] :
( ~ ( cR @ X0 )
| ( cS @ X0 )
| ( X1 != X0 )
| ( X1
= ( '#sk5' @ '#I' @ X1 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl115]) ).
thf(zip_derived_cl140,plain,
! [X0: a] :
( ( X0
= ( '#sk5' @ '#I' @ X0 ) )
| ( cS @ X0 )
| ~ ( cR @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl131]) ).
thf(zip_derived_cl40,plain,
! [X2: a,X4: a > a,X6: a,X8: a] :
( ( cS @ ( '#sk5' @ X4 @ X6 ) )
| ~ ( cR @ X8 )
| ( X6
!= ( X4 @ X8 ) )
| ( cS @ X2 )
| ~ ( cR @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl146,plain,
! [X0: a,X1: a,X2: a] :
( ( cS @ X0 )
| ~ ( cR @ X0 )
| ( cS @ X0 )
| ~ ( cR @ X1 )
| ( cS @ X1 )
| ( X0
!= ( '#I' @ X2 ) )
| ~ ( cR @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl140,zip_derived_cl40]) ).
thf(zip_derived_cl150,plain,
! [X0: a,X1: a,X2: a] :
( ( cS @ X0 )
| ~ ( cR @ X0 )
| ( cS @ X0 )
| ~ ( cR @ X1 )
| ( cS @ X1 )
| ( X0 != X2 )
| ~ ( cR @ X2 ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl146]) ).
thf(zip_derived_cl151,plain,
! [X0: a,X1: a,X2: a] :
( ~ ( cR @ X2 )
| ( X0 != X2 )
| ( cS @ X1 )
| ~ ( cR @ X1 )
| ~ ( cR @ X0 )
| ( cS @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl150]) ).
thf(zip_derived_cl185,plain,
! [X0: a,X1: a] :
( ( cS @ X0 )
| ~ ( cR @ X0 )
| ~ ( cR @ X1 )
| ( cS @ X1 )
| ( X0 != X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl151]) ).
thf(zip_derived_cl190,plain,
! [X0: a,X1: a] :
( ( cS @ X1 )
| ~ ( cR @ X1 )
| ~ ( cR @ X0 )
| ( cS @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl185]) ).
thf(zip_derived_cl215,plain,
! [X0: a] :
( ( cS @ X0 )
| ~ ( cR @ X0 )
| ( cS @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl217,plain,
! [X0: a] :
( ~ ( cR @ X0 )
| ( cS @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl215]) ).
thf(zip_derived_cl1_001,plain,
( ( !! @ ( '#S' @ ( '#B' @ (=>) @ cR ) @ cS ) )
!= ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cR ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cS ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
( ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ cR ) @ cS ) )
| ~ ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cR ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cS ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
( ~ ( ( cR @ '#sk1' )
=> ( cS @ '#sk1' ) )
| ~ ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cR ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cS ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( ( cR @ '#sk1' )
| ~ ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cR ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cS ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
( ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#B' @ ?? @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cR ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ '#sk2' ) ) ) ) @ ( '#B' @ ?? @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cS ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ '#sk2' ) ) ) ) )
| ( cR @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
( ~ ( ( ?? @ ( '#S' @ ( '#B' @ (&) @ cR ) @ ( '#B' @ ( a = '#sk3' ) @ '#sk2' ) ) )
=> ( ?? @ ( '#S' @ ( '#B' @ (&) @ cS ) @ ( '#B' @ ( a = '#sk3' ) @ '#sk2' ) ) ) )
| ( cR @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
( ( ?? @ ( '#S' @ ( '#B' @ (&) @ cR ) @ ( '#B' @ ( a = '#sk3' ) @ '#sk2' ) ) )
| ( cR @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
( ( ( cR @ '#sk4' )
& ( '#sk3'
= ( '#sk2' @ '#sk4' ) ) )
| ( cR @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl19,plain,
( ( cR @ '#sk4' )
| ( cR @ '#sk1' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl219,plain,
( ( cS @ '#sk1' )
| ( cR @ '#sk4' ) ),
inference('sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl19]) ).
thf(zip_derived_cl6,plain,
( ~ ( cS @ '#sk1' )
| ~ ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cR ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cS ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
( ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#B' @ ?? @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cR ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ '#sk2' ) ) ) ) @ ( '#B' @ ?? @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ cS ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ '#sk2' ) ) ) ) )
| ~ ( cS @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
( ~ ( ( ?? @ ( '#S' @ ( '#B' @ (&) @ cR ) @ ( '#B' @ ( a = '#sk3' ) @ '#sk2' ) ) )
=> ( ?? @ ( '#S' @ ( '#B' @ (&) @ cS ) @ ( '#B' @ ( a = '#sk3' ) @ '#sk2' ) ) ) )
| ~ ( cS @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl13,plain,
( ( ?? @ ( '#S' @ ( '#B' @ (&) @ cR ) @ ( '#B' @ ( a = '#sk3' ) @ '#sk2' ) ) )
| ~ ( cS @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl17,plain,
( ( ( cR @ '#sk4' )
& ( '#sk3'
= ( '#sk2' @ '#sk4' ) ) )
| ~ ( cS @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl22,plain,
( ( cR @ '#sk4' )
| ~ ( cS @ '#sk1' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl229,plain,
cR @ '#sk4',
inference(clc,[status(thm)],[zip_derived_cl219,zip_derived_cl22]) ).
thf(zip_derived_cl217_002,plain,
! [X0: a] :
( ~ ( cR @ X0 )
| ( cS @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl215]) ).
thf(zip_derived_cl230,plain,
cS @ '#sk4',
inference('sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl217]) ).
thf(zip_derived_cl217_003,plain,
! [X0: a] :
( ~ ( cR @ X0 )
| ( cS @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl215]) ).
thf(zip_derived_cl12,plain,
( ~ ( ?? @ ( '#S' @ ( '#B' @ (&) @ cS ) @ ( '#B' @ ( a = '#sk3' ) @ '#sk2' ) ) )
| ( cR @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl16,plain,
! [X2: a] :
( ~ ( ( cS @ X2 )
& ( '#sk3'
= ( '#sk2' @ X2 ) ) )
| ( cR @ '#sk1' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl21,plain,
! [X2: a] :
( ~ ( cS @ X2 )
| ( '#sk3'
!= ( '#sk2' @ X2 ) )
| ( cR @ '#sk1' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl26,plain,
! [X2: a] :
( ~ ( cS @ X2 )
| ( '#sk3'
!= ( '#sk2' @ X2 ) )
| ( cR @ '#sk1' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl221,plain,
! [X0: a] :
( ( cS @ '#sk1' )
| ( '#sk3'
!= ( '#sk2' @ X0 ) )
| ~ ( cS @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl26]) ).
thf(zip_derived_cl230_004,plain,
cS @ '#sk4',
inference('sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl217]) ).
thf(zip_derived_cl14,plain,
( ~ ( ?? @ ( '#S' @ ( '#B' @ (&) @ cS ) @ ( '#B' @ ( a = '#sk3' ) @ '#sk2' ) ) )
| ~ ( cS @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl18,plain,
! [X2: a] :
( ~ ( ( cS @ X2 )
& ( '#sk3'
= ( '#sk2' @ X2 ) ) )
| ~ ( cS @ '#sk1' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl24,plain,
! [X2: a] :
( ~ ( cS @ X2 )
| ( '#sk3'
!= ( '#sk2' @ X2 ) )
| ~ ( cS @ '#sk1' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl28,plain,
! [X2: a] :
( ~ ( cS @ X2 )
| ( '#sk3'
!= ( '#sk2' @ X2 ) )
| ~ ( cS @ '#sk1' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl232,plain,
( ~ ( cS @ '#sk1' )
| ( '#sk3'
!= ( '#sk2' @ '#sk4' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl28]) ).
thf(zip_derived_cl23,plain,
( ( '#sk3'
= ( '#sk2' @ '#sk4' ) )
| ~ ( cS @ '#sk1' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl27,plain,
( ( '#sk3'
= ( '#sk2' @ '#sk4' ) )
| ~ ( cS @ '#sk1' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl236,plain,
~ ( cS @ '#sk1' ),
inference(clc,[status(thm)],[zip_derived_cl232,zip_derived_cl27]) ).
thf(zip_derived_cl238,plain,
! [X0: a] :
( ~ ( cS @ X0 )
| ( '#sk3'
!= ( '#sk2' @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl221,zip_derived_cl236]) ).
thf(zip_derived_cl240,plain,
( '#sk3'
!= ( '#sk2' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl238]) ).
thf(zip_derived_cl217_005,plain,
! [X0: a] :
( ~ ( cR @ X0 )
| ( cS @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl215]) ).
thf(zip_derived_cl20,plain,
( ( '#sk3'
= ( '#sk2' @ '#sk4' ) )
| ( cR @ '#sk1' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl25,plain,
( ( '#sk3'
= ( '#sk2' @ '#sk4' ) )
| ( cR @ '#sk1' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl220,plain,
( ( cS @ '#sk1' )
| ( '#sk3'
= ( '#sk2' @ '#sk4' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl25]) ).
thf(zip_derived_cl236_006,plain,
~ ( cS @ '#sk1' ),
inference(clc,[status(thm)],[zip_derived_cl232,zip_derived_cl27]) ).
thf(zip_derived_cl237,plain,
( '#sk3'
= ( '#sk2' @ '#sk4' ) ),
inference(clc,[status(thm)],[zip_derived_cl220,zip_derived_cl236]) ).
thf(zip_derived_cl241,plain,
'#sk3' != '#sk3',
inference(demod,[status(thm)],[zip_derived_cl240,zip_derived_cl237]) ).
thf(zip_derived_cl242,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl241]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU897^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OzocHD8RvU true
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 13:51:38 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in HO mode
% 0.21/0.67 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.27/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.27/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.27/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.27/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.27/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.27/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.62/0.95 % Solved by lams/40_b.comb.sh.
% 1.62/0.95 % done 25 iterations in 0.135s
% 1.62/0.95 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.62/0.95 % SZS output start Refutation
% See solution above
% 1.62/0.95
% 1.62/0.95
% 1.62/0.95 % Terminating...
% 2.56/1.06 % Runner terminated.
% 2.56/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------