TSTP Solution File: NUM586+3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM586+3 : 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.O6OMcXQTeF 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 12:42:33 EDT 2023
% Result : Theorem 8.30s 1.78s
% Output : Refutation 8.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 70
% Syntax : Number of formulae : 87 ( 10 unt; 50 typ; 0 def)
% Number of atoms : 197 ( 37 equ; 0 cnn)
% Maximal formula atoms : 47 ( 5 avg)
% Number of connectives : 1052 ( 23 ~; 26 |; 75 &; 869 @)
% ( 13 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 80 ( 80 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 36 usr; 9 con; 0-3 aty)
% Number of variables : 71 ( 0 ^; 67 !; 4 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_40_type,type,
zip_tseitin_40: $i > $o ).
thf(zip_tseitin_37_type,type,
zip_tseitin_37: $i > $o ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
thf(zip_tseitin_44_type,type,
zip_tseitin_44: $i > $i > $o ).
thf(aFunction0_type,type,
aFunction0: $i > $o ).
thf(zip_tseitin_41_type,type,
zip_tseitin_41: $i > $i > $i > $o ).
thf(zip_tseitin_47_type,type,
zip_tseitin_47: $i > $i > $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(zip_tseitin_39_type,type,
zip_tseitin_39: $i > $i > $o ).
thf(zip_tseitin_42_type,type,
zip_tseitin_42: $i > $i > $o ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(xc_type,type,
xc: $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(zip_tseitin_48_type,type,
zip_tseitin_48: $i > $i > $i > $o ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(zip_tseitin_49_type,type,
zip_tseitin_49: $i > $i > $o ).
thf(sk__30_type,type,
sk__30: $i ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(zip_tseitin_50_type,type,
zip_tseitin_50: $i > $o ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(xC_type,type,
xC: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(zip_tseitin_45_type,type,
zip_tseitin_45: $i > $i > $o ).
thf(xk_type,type,
xk: $i ).
thf(zip_tseitin_43_type,type,
zip_tseitin_43: $i > $i > $o ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(xi_type,type,
xi: $i ).
thf(xN_type,type,
xN: $i ).
thf(xx_type,type,
xx: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(zip_tseitin_38_type,type,
zip_tseitin_38: $i > $i > $o ).
thf(zip_tseitin_46_type,type,
zip_tseitin_46: $i > $i > $i > $o ).
thf(sdtlcdtrc0_type,type,
sdtlcdtrc0: $i > $i > $i ).
thf(m__4200_02,axiom,
( ( aElementOf0 @ xx @ ( sdtlcdtrc0 @ ( sdtlpdtrp0 @ xC @ xi ) @ ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ xi ) ) ) )
& ? [W0: $i] :
( ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ W0 )
= xx )
& ( aElementOf0 @ W0 @ ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ xi ) ) ) ) ) ).
thf(zip_derived_cl310,plain,
( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ sk__30 )
= xx ),
inference(cnf,[status(esa)],[m__4200_02]) ).
thf(m__,conjecture,
? [W0: $i] :
( ( ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W1 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) ) )
=> ( ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
<=> ( ( W1
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) )
& ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ xi ) )
& ( aElement0 @ W1 ) ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
=> ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xk ) )
| ( ( ( sbrdtbr0 @ W0 )
= xk )
& ( ( aSubsetOf0 @ W0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
| ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
& ( aSet0 @ W0 ) ) ) ) ) ) )
& ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ W0 )
= xx ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_50: $i > $o ).
thf(zf_stmt_1,axiom,
! [W1: $i] :
( ( zip_tseitin_50 @ W1 )
<=> ( ( aElement0 @ W1 )
& ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ xi ) )
& ( W1
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ).
thf(zf_stmt_2,conjecture,
? [W0: $i] :
( ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ W0 )
= xx )
& ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W1 ) ) )
=> ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
<=> ( zip_tseitin_50 @ W1 ) ) )
=> ( ( ( ( ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) )
| ( aSubsetOf0 @ W0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
& ( ( sbrdtbr0 @ W0 )
= xk ) )
| ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xk ) ) ) ) ) ) ).
thf(zf_stmt_3,negated_conjecture,
~ ? [W0: $i] :
( ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ W0 )
= xx )
& ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W1 ) ) )
=> ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
<=> ( zip_tseitin_50 @ W1 ) ) )
=> ( ( ( ( ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) )
| ( aSubsetOf0 @ W0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
& ( ( sbrdtbr0 @ W0 )
= xk ) )
| ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xk ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl320,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ X0 )
!= xx )
| ~ ( aSubsetOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
| ( ( sbrdtbr0 @ X0 )
!= xk ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl3295,plain,
( ( xx != xx )
| ( ( sbrdtbr0 @ sk__30 )
!= xk )
| ~ ( aSubsetOf0 @ sk__30 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl320]) ).
thf(zip_derived_cl311,plain,
aElementOf0 @ sk__30 @ ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ xi ) ),
inference(cnf,[status(esa)],[m__4200_02]) ).
thf(m__4151,axiom,
( ( aFunction0 @ xC )
& ( ( szDzozmdt0 @ xC )
= szNzAzT0 )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ! [W1: $i] :
( ( ( ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
=> ( ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( ( W2
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
& ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( aElement0 @ W2 ) ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
=> ( ( aElementOf0 @ W1 @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ xk ) )
| ( ( ( sbrdtbr0 @ W1 )
= xk )
& ( ( aSubsetOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
| ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) ) ) ) )
& ( aSet0 @ W1 ) )
=> ( ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ W0 ) @ W1 )
= ( sdtlpdtrp0 @ xc @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( ( ( W2
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
| ( aElementOf0 @ W2 @ W1 ) )
& ( aElement0 @ W2 ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ( ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ W0 ) )
= ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ xk ) )
& ! [W1: $i] :
( ( ( aElementOf0 @ W1 @ ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ W0 ) ) )
=> ( ( ( sbrdtbr0 @ W1 )
= xk )
& ( aSubsetOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( aSet0 @ W1 ) ) )
& ( ( ( ( sbrdtbr0 @ W1 )
= xk )
& ( ( aSubsetOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
| ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( aSet0 @ W1 ) ) ) )
=> ( aElementOf0 @ W1 @ ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ W0 ) ) ) ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( ( W1
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
& ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( aElement0 @ W1 ) ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( aFunction0 @ ( sdtlpdtrp0 @ xC @ W0 ) ) ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_49: $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [W1: $i,W0: $i] :
( ( zip_tseitin_49 @ W1 @ W0 )
=> ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) )
& ! [W2: $i] : ( zip_tseitin_48 @ W2 @ W1 @ W0 )
& ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ W0 ) @ W1 )
= ( sdtlpdtrp0 @ xc @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_48: $i > $i > $i > $o ).
thf(zf_stmt_7,axiom,
! [W2: $i,W1: $i,W0: $i] :
( ( zip_tseitin_48 @ W2 @ W1 @ W0 )
=> ( ( aElementOf0 @ W2 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( zip_tseitin_47 @ W2 @ W1 @ W0 ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_47: $i > $i > $i > $o ).
thf(zf_stmt_9,axiom,
! [W2: $i,W1: $i,W0: $i] :
( ( zip_tseitin_47 @ W2 @ W1 @ W0 )
<=> ( ( aElement0 @ W2 )
& ( zip_tseitin_46 @ W2 @ W1 @ W0 ) ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_46: $i > $i > $i > $o ).
thf(zf_stmt_11,axiom,
! [W2: $i,W1: $i,W0: $i] :
( ( zip_tseitin_46 @ W2 @ W1 @ W0 )
<=> ( ( aElementOf0 @ W2 @ W1 )
| ( W2
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_45: $i > $i > $o ).
thf(zf_stmt_13,axiom,
! [W1: $i,W0: $i] :
( ( ( zip_tseitin_37 @ W0 )
=> ( zip_tseitin_44 @ W1 @ W0 ) )
=> ( zip_tseitin_45 @ W1 @ W0 ) ) ).
thf(zf_stmt_14,type,
zip_tseitin_44: $i > $i > $o ).
thf(zf_stmt_15,axiom,
! [W1: $i,W0: $i] :
( ( ( zip_tseitin_40 @ W0 )
=> ( zip_tseitin_43 @ W1 @ W0 ) )
=> ( zip_tseitin_44 @ W1 @ W0 ) ) ).
thf(zf_stmt_16,type,
zip_tseitin_43: $i > $i > $o ).
thf(zf_stmt_17,axiom,
! [W1: $i,W0: $i] :
( ( ( ( zip_tseitin_42 @ W1 @ W0 )
& ( ( sbrdtbr0 @ W1 )
= xk ) )
| ( aElementOf0 @ W1 @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ xk ) ) )
=> ( zip_tseitin_43 @ W1 @ W0 ) ) ).
thf(zf_stmt_18,type,
zip_tseitin_42: $i > $i > $o ).
thf(zf_stmt_19,axiom,
! [W1: $i,W0: $i] :
( ( ! [W2: $i] : ( zip_tseitin_41 @ W2 @ W1 @ W0 )
| ( aSubsetOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
=> ( zip_tseitin_42 @ W1 @ W0 ) ) ).
thf(zf_stmt_20,type,
zip_tseitin_41: $i > $i > $i > $o ).
thf(zf_stmt_21,axiom,
! [W2: $i,W1: $i,W0: $i] :
( ( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
=> ( zip_tseitin_41 @ W2 @ W1 @ W0 ) ) ).
thf(zf_stmt_22,type,
zip_tseitin_40: $i > $o ).
thf(zf_stmt_23,axiom,
! [W0: $i] :
( ( zip_tseitin_40 @ W0 )
=> ( ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W2: $i] : ( zip_tseitin_39 @ W2 @ W0 ) ) ) ).
thf(zf_stmt_24,type,
zip_tseitin_39: $i > $i > $o ).
thf(zf_stmt_25,axiom,
! [W2: $i,W0: $i] :
( ( zip_tseitin_39 @ W2 @ W0 )
=> ( ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( zip_tseitin_38 @ W2 @ W0 ) ) ) ).
thf(zf_stmt_26,type,
zip_tseitin_38: $i > $i > $o ).
thf(zf_stmt_27,axiom,
! [W2: $i,W0: $i] :
( ( zip_tseitin_38 @ W2 @ W0 )
<=> ( ( aElement0 @ W2 )
& ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( W2
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ).
thf(zf_stmt_28,type,
zip_tseitin_37: $i > $o ).
thf(zf_stmt_29,axiom,
! [W0: $i] :
( ( zip_tseitin_37 @ W0 )
=> ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) ) ).
thf(zf_stmt_30,axiom,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aFunction0 @ ( sdtlpdtrp0 @ xC @ W0 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( ( aElement0 @ W1 )
& ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( W1
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ! [W1: $i] :
( ( ( ( ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) )
| ( aSubsetOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( ( sbrdtbr0 @ W1 )
= xk ) )
=> ( aElementOf0 @ W1 @ ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ W0 ) ) ) )
& ( ( aElementOf0 @ W1 @ ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ W0 ) ) )
=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( aSubsetOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ( ( sbrdtbr0 @ W1 )
= xk ) ) ) )
& ( ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ W0 ) )
= ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ xk ) )
& ! [W1: $i] :
( ( ( aSet0 @ W1 )
& ( zip_tseitin_45 @ W1 @ W0 ) )
=> ( zip_tseitin_49 @ W1 @ W0 ) ) ) )
& ( ( szDzozmdt0 @ xC )
= szNzAzT0 )
& ( aFunction0 @ xC ) ) ).
thf(zip_derived_cl300,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ X1 ) ) )
| ( ( sbrdtbr0 @ X0 )
= xk )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf(zip_derived_cl2860,plain,
( ~ ( aElementOf0 @ xi @ szNzAzT0 )
| ( ( sbrdtbr0 @ sk__30 )
= xk ) ),
inference('sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl300]) ).
thf(m__4200,axiom,
aElementOf0 @ xi @ szNzAzT0 ).
thf(zip_derived_cl309,plain,
aElementOf0 @ xi @ szNzAzT0,
inference(cnf,[status(esa)],[m__4200]) ).
thf(zip_derived_cl2861,plain,
( ( sbrdtbr0 @ sk__30 )
= xk ),
inference(demod,[status(thm)],[zip_derived_cl2860,zip_derived_cl309]) ).
thf(zip_derived_cl3296,plain,
( ( xx != xx )
| ( xk != xk )
| ~ ( aSubsetOf0 @ sk__30 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3295,zip_derived_cl2861]) ).
thf(zip_derived_cl3297,plain,
~ ( aSubsetOf0 @ sk__30 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3296]) ).
thf(zip_derived_cl311_001,plain,
aElementOf0 @ sk__30 @ ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ xi ) ),
inference(cnf,[status(esa)],[m__4200_02]) ).
thf(zip_derived_cl301,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ X1 ) ) )
| ( aSubsetOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) ) ) )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf(zip_derived_cl5706,plain,
( ~ ( aElementOf0 @ xi @ szNzAzT0 )
| ( aSubsetOf0 @ sk__30 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl301]) ).
thf(zip_derived_cl309_002,plain,
aElementOf0 @ xi @ szNzAzT0,
inference(cnf,[status(esa)],[m__4200]) ).
thf(zip_derived_cl5708,plain,
aSubsetOf0 @ sk__30 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5706,zip_derived_cl309]) ).
thf(zip_derived_cl5713,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3297,zip_derived_cl5708]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM586+3 : 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.O6OMcXQTeF 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 : Fri Aug 25 15:48:19 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
% 0.14/0.35 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.30/1.78 % Solved by fo/fo3_bce.sh.
% 8.30/1.78 % BCE start: 326
% 8.30/1.78 % BCE eliminated: 39
% 8.30/1.78 % PE start: 287
% 8.30/1.78 logic: eq
% 8.30/1.78 % PE eliminated: 20
% 8.30/1.78 % done 760 iterations in 1.020s
% 8.30/1.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.30/1.78 % SZS output start Refutation
% See solution above
% 8.30/1.78
% 8.30/1.78
% 8.30/1.78 % Terminating...
% 8.30/1.88 % Runner terminated.
% 8.30/1.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------