TSTP Solution File: NUM577+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM577+3 : 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.qpM9Hv39xn true
% Computer : n026.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 12:42:29 EDT 2023
% Result : Theorem 10.36s 2.06s
% Output : Refutation 10.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 45
% Syntax : Number of formulae : 103 ( 13 unt; 31 typ; 0 def)
% Number of atoms : 253 ( 22 equ; 0 cnn)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 1322 ( 82 ~; 73 |; 60 &;1059 @)
% ( 7 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 8 con; 0-2 aty)
% Number of variables : 79 ( 0 ^; 79 !; 0 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
thf(aFunction0_type,type,
aFunction0: $i > $o ).
thf(sz00_type,type,
sz00: $i ).
thf(zip_tseitin_22_type,type,
zip_tseitin_22: $i > $i > $o ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(xn_type,type,
xn: $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(zip_tseitin_20_type,type,
zip_tseitin_20: $i > $o ).
thf(xS_type,type,
xS: $i ).
thf(zip_tseitin_21_type,type,
zip_tseitin_21: $i > $i > $o ).
thf(sk__29_type,type,
sk__29: $i ).
thf(zip_tseitin_23_type,type,
zip_tseitin_23: $i > $o ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $i > $i > $o ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(zip_tseitin_24_type,type,
zip_tseitin_24: $i > $o ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(xN_type,type,
xN: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(mSuccNum,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aElementOf0 @ ( szszuzczcdt0 @ W0 ) @ szNzAzT0 )
& ( ( szszuzczcdt0 @ W0 )
!= sz00 ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(m__,conjecture,
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm )
=> ( ~ ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ W0 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ ( sdtlpdtrp0 @ xN @ xn ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ W0 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ ( sdtlpdtrp0 @ xN @ xm ) ) )
& ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ W0 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ ( sdtlpdtrp0 @ xN @ xn ) ) )
=> ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
<=> ( ( W0
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) )
& ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
& ( aElement0 @ W0 ) ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) )
=> ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) )
=> ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_24: $i > $o ).
thf(zf_stmt_1,axiom,
! [W0: $i] :
( ( zip_tseitin_24 @ W0 )
<=> ( ( aElement0 @ W0 )
& ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
& ( W0
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ) ).
thf(zf_stmt_2,conjecture,
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm )
=> ( ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ ( sdtlpdtrp0 @ xN @ xn ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ W0 ) ) )
=> ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
<=> ( zip_tseitin_24 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) )
=> ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ) ) )
& ~ ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ ( sdtlpdtrp0 @ xN @ xm ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ W0 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ ( sdtlpdtrp0 @ xN @ xn ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ W0 ) )
& ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ) ) ).
thf(zf_stmt_3,negated_conjecture,
~ ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm )
=> ( ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ ( sdtlpdtrp0 @ xN @ xn ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ W0 ) ) )
=> ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
<=> ( zip_tseitin_24 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) )
=> ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ) ) )
& ~ ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ ( sdtlpdtrp0 @ xN @ xm ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ W0 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ ( sdtlpdtrp0 @ xN @ xn ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ W0 ) )
& ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl248,plain,
sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm,
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(m__3904,axiom,
( ( aElementOf0 @ xm @ szNzAzT0 )
& ( aElementOf0 @ xn @ szNzAzT0 ) ) ).
thf(zip_derived_cl242,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__3904]) ).
thf(m__3754,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W1 @ W0 )
=> ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ) ).
thf(zip_derived_cl237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aElementOf0 @ X2 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ( aElementOf0 @ X2 @ ( sdtlpdtrp0 @ xN @ X1 ) )
| ~ ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[m__3754]) ).
thf(zip_derived_cl4143,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( sdtlseqdt0 @ X0 @ xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl237]) ).
thf(zip_derived_cl4300,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl4143]) ).
thf(zip_derived_cl5933,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl4300]) ).
thf(zip_derived_cl243,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__3904]) ).
thf(zip_derived_cl5934,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5933,zip_derived_cl243]) ).
thf(m__3623,axiom,
( ( aFunction0 @ xN )
& ( ( szDzozmdt0 @ xN )
= szNzAzT0 )
& ( ( sdtlpdtrp0 @ xN @ sz00 )
= xS )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
| ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( aElementOf0 @ W1 @ szNzAzT0 ) )
& ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
=> ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
=> ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ 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 ) ) ) ) ) ) ).
thf(zf_stmt_4,axiom,
! [W0: $i] :
( ( ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W1: $i] : ( zip_tseitin_19 @ W1 @ W0 ) )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) )
=> ( zip_tseitin_20 @ W0 ) ) ).
thf(zip_derived_cl214,plain,
! [X0: $i] :
( ( zip_tseitin_20 @ X0 )
| ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zf_stmt_5,type,
zip_tseitin_23: $i > $o ).
thf(zf_stmt_6,axiom,
! [W0: $i] :
( ( zip_tseitin_23 @ 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] : ( zip_tseitin_22 @ W1 @ W0 )
& ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
=> ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_22: $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [W1: $i,W0: $i] :
( ( zip_tseitin_22 @ W1 @ W0 )
=> ( ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( zip_tseitin_21 @ W1 @ W0 ) ) ) ).
thf(zf_stmt_9,type,
zip_tseitin_21: $i > $i > $o ).
thf(zf_stmt_10,axiom,
! [W1: $i,W0: $i] :
( ( zip_tseitin_21 @ W1 @ W0 )
<=> ( ( aElement0 @ W1 )
& ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( W1
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ).
thf(zf_stmt_11,type,
zip_tseitin_20: $i > $o ).
thf(zf_stmt_12,type,
zip_tseitin_19: $i > $i > $o ).
thf(zf_stmt_13,axiom,
! [W1: $i,W0: $i] :
( ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( zip_tseitin_19 @ W1 @ W0 ) ) ).
thf(zf_stmt_14,axiom,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( ( zip_tseitin_20 @ W0 )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
=> ( zip_tseitin_23 @ W0 ) ) )
& ( ( sdtlpdtrp0 @ xN @ sz00 )
= xS )
& ( ( szDzozmdt0 @ xN )
= szNzAzT0 )
& ( aFunction0 @ xN ) ) ).
thf(zip_derived_cl232,plain,
! [X0: $i] :
( ~ ( zip_tseitin_20 @ X0 )
| ~ ( isCountable0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ( zip_tseitin_23 @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl1873,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( zip_tseitin_23 @ X0 )
| ~ ( isCountable0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl214,zip_derived_cl232]) ).
thf(m__3671,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( aElementOf0 @ W1 @ szNzAzT0 ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ).
thf(zip_derived_cl235,plain,
! [X0: $i] :
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(zip_derived_cl5068,plain,
! [X0: $i] :
( ~ ( isCountable0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ( zip_tseitin_23 @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1873,zip_derived_cl235]) ).
thf(zip_derived_cl236,plain,
! [X0: $i] :
( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(zip_derived_cl5069,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( zip_tseitin_23 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl5068,zip_derived_cl236]) ).
thf(zip_derived_cl226,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X1 ) ) )
| ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) ) ) )
| ~ ( zip_tseitin_23 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl269,plain,
( ~ ( aElementOf0 @ sk__29 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
| ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl4100,plain,
( ~ ( zip_tseitin_23 @ xn )
| ~ ( aElementOf0 @ sk__29 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
| ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl226,zip_derived_cl269]) ).
thf(zip_derived_cl5083,plain,
( ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ~ ( aElementOf0 @ sk__29 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
| ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5069,zip_derived_cl4100]) ).
thf(zip_derived_cl243_001,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__3904]) ).
thf(zip_derived_cl5104,plain,
( ~ ( aElementOf0 @ sk__29 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
| ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5083,zip_derived_cl243]) ).
thf(zip_derived_cl5934_002,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5933,zip_derived_cl243]) ).
thf(zip_derived_cl5069_003,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( zip_tseitin_23 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl5068,zip_derived_cl236]) ).
thf(zip_derived_cl226_004,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X1 ) ) )
| ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) ) ) )
| ~ ( zip_tseitin_23 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl273,plain,
( ~ ( aElementOf0 @ sk__29 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl4102,plain,
( ~ ( zip_tseitin_23 @ xn )
| ~ ( aElementOf0 @ sk__29 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl226,zip_derived_cl273]) ).
thf(zip_derived_cl5085,plain,
( ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ~ ( aElementOf0 @ sk__29 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5069,zip_derived_cl4102]) ).
thf(zip_derived_cl243_005,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__3904]) ).
thf(zip_derived_cl5106,plain,
( ~ ( aElementOf0 @ sk__29 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5085,zip_derived_cl243]) ).
thf(zip_derived_cl5947,plain,
( ~ ( aElementOf0 @ sk__29 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5934,zip_derived_cl5106]) ).
thf(zip_derived_cl268,plain,
( ( aElementOf0 @ sk__29 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl5956,plain,
( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(clc,[status(thm)],[zip_derived_cl5947,zip_derived_cl268]) ).
thf(zip_derived_cl5069_006,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( zip_tseitin_23 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl5068,zip_derived_cl236]) ).
thf(zip_derived_cl5934_007,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5933,zip_derived_cl243]) ).
thf(zip_derived_cl226_008,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X1 ) ) )
| ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) ) ) )
| ~ ( zip_tseitin_23 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl224,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_22 @ X0 @ X1 )
| ~ ( zip_tseitin_23 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl220,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) ) ) )
| ( zip_tseitin_21 @ X0 @ X1 )
| ~ ( zip_tseitin_22 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl1862,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_23 @ X0 )
| ( zip_tseitin_21 @ X1 @ X0 )
| ~ ( aElementOf0 @ X1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl224,zip_derived_cl220]) ).
thf(zip_derived_cl217,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
| ~ ( zip_tseitin_21 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl1887,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) ) )
| ~ ( zip_tseitin_23 @ X0 )
| ( X1
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1862,zip_derived_cl217]) ).
thf(zip_derived_cl3682,plain,
! [X0: $i] :
( ~ ( zip_tseitin_23 @ X0 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1887]) ).
thf(zip_derived_cl4095,plain,
! [X0: $i] :
( ~ ( zip_tseitin_23 @ X0 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X0 ) ) )
| ~ ( zip_tseitin_23 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl226,zip_derived_cl3682]) ).
thf(zip_derived_cl4110,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X0 ) ) )
| ~ ( zip_tseitin_23 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4095]) ).
thf(zip_derived_cl5939,plain,
( ~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ ( sdtlpdtrp0 @ xN @ xm ) )
| ~ ( zip_tseitin_23 @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5934,zip_derived_cl4110]) ).
thf(zip_derived_cl5951,plain,
( ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5069,zip_derived_cl5939]) ).
thf(zip_derived_cl243_009,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__3904]) ).
thf(zip_derived_cl5952,plain,
~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ ( sdtlpdtrp0 @ xN @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl5951,zip_derived_cl243]) ).
thf(zip_derived_cl6010,plain,
~ ( aElementOf0 @ sk__29 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5104,zip_derived_cl5956,zip_derived_cl5952]) ).
thf(zip_derived_cl6138,plain,
~ ( aElementOf0 @ sk__29 @ ( sdtlpdtrp0 @ xN @ xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5934,zip_derived_cl6010]) ).
thf(zip_derived_cl268_010,plain,
( ( aElementOf0 @ sk__29 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl264,plain,
( ( aElementOf0 @ sk__29 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl2406,plain,
( ( aElementOf0 @ sk__29 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( aElementOf0 @ sk__29 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl268,zip_derived_cl264]) ).
thf(zip_derived_cl2407,plain,
( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( aElementOf0 @ sk__29 @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2406]) ).
thf(zip_derived_cl5952_011,plain,
~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ ( sdtlpdtrp0 @ xN @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl5951,zip_derived_cl243]) ).
thf(zip_derived_cl5955,plain,
aElementOf0 @ sk__29 @ ( sdtlpdtrp0 @ xN @ xm ),
inference('s_sup-',[status(thm)],[zip_derived_cl2407,zip_derived_cl5952]) ).
thf(zip_derived_cl6139,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6138,zip_derived_cl5955]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM577+3 : 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.qpM9Hv39xn true
% 0.14/0.35 % Computer : n026.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 17:03:48 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
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 10.36/2.06 % Solved by fo/fo6_bce.sh.
% 10.36/2.06 % BCE start: 289
% 10.36/2.06 % BCE eliminated: 0
% 10.36/2.06 % PE start: 289
% 10.36/2.06 logic: eq
% 10.36/2.06 % PE eliminated: 19
% 10.36/2.06 % done 968 iterations in 1.328s
% 10.36/2.06 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.36/2.06 % SZS output start Refutation
% See solution above
% 10.36/2.06
% 10.36/2.06
% 10.36/2.06 % Terminating...
% 10.36/2.16 % Runner terminated.
% 10.36/2.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------