TSTP Solution File: NUM575+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM575+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.Bu6y7om7lA true
% Computer : n012.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 12:42:28 EDT 2023
% Result : Theorem 130.88s 19.65s
% Output : Refutation 130.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 41
% Syntax : Number of formulae : 101 ( 17 unt; 28 typ; 0 def)
% Number of atoms : 251 ( 19 equ; 0 cnn)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 1094 ( 106 ~; 97 |; 49 &; 810 @)
% ( 3 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 7 con; 0-2 aty)
% Number of variables : 93 ( 0 ^; 93 !; 0 ?; 93 :)
% 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(sk__29_type,type,
sk__29: $i ).
thf(sk__30_type,type,
sk__30: $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $i > $i > $o ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(zip_tseitin_23_type,type,
zip_tseitin_23: $i > $o ).
thf(xS_type,type,
xS: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $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(zip_tseitin_20_type,type,
zip_tseitin_20: $i > $o ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(xN_type,type,
xN: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(zip_tseitin_21_type,type,
zip_tseitin_21: $i > $i > $o ).
thf(m__,conjecture,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 )
& ( W0 != W1 ) )
=> ~ ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W1 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) )
& ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 )
& ( W0 != W1 ) )
=> ~ ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W1 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) )
& ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl244,plain,
aElementOf0 @ sk__29 @ szNzAzT0,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mLessTotal,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ W1 ) @ W0 ) ) ) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[mLessTotal]) ).
thf(zip_derived_cl243,plain,
aElementOf0 @ sk__30 @ szNzAzT0,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl4421,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ sk__30 ) )
| ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( sdtlseqdt0 @ X0 @ sk__30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl237]) ).
thf(zip_derived_cl4609,plain,
! [X0: $i,X1: $i] :
( ( sdtlseqdt0 @ sk__30 @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ sk__30 @ szNzAzT0 )
| ~ ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ sk__30 ) )
| ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl4421]) ).
thf(zip_derived_cl243_001,plain,
aElementOf0 @ sk__30 @ szNzAzT0,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4617,plain,
! [X0: $i,X1: $i] :
( ( sdtlseqdt0 @ sk__30 @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ sk__30 ) )
| ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4609,zip_derived_cl243]) ).
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(zip_derived_cl23068,plain,
! [X0: $i,X1: $i] :
( ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X0 ) ) )
| ~ ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ sk__30 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( sdtlseqdt0 @ sk__30 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl4617,zip_derived_cl46]) ).
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_1,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(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_1]) ).
thf(zip_derived_cl224,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_22 @ X0 @ X1 )
| ~ ( zip_tseitin_23 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,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(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_2]) ).
thf(zip_derived_cl1595,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(zf_stmt_3,axiom,
! [W1: $i,W0: $i] :
( ( zip_tseitin_21 @ W1 @ W0 )
<=> ( ( aElement0 @ W1 )
& ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( W1
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ).
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_3]) ).
thf(zip_derived_cl1620,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_cl1595,zip_derived_cl217]) ).
thf(zip_derived_cl5651,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_cl1620]) ).
thf(zip_derived_cl41810,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_cl5651]) ).
thf(zip_derived_cl41823,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X0 ) ) )
| ~ ( zip_tseitin_23 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41810]) ).
thf(zip_derived_cl41956,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sk__30 @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) @ ( sdtlpdtrp0 @ xN @ sk__30 ) )
| ~ ( zip_tseitin_23 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23068,zip_derived_cl41823]) ).
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,type,
zip_tseitin_22: $i > $i > $o ).
thf(zf_stmt_7,type,
zip_tseitin_21: $i > $i > $o ).
thf(zf_stmt_8,type,
zip_tseitin_20: $i > $o ).
thf(zf_stmt_9,type,
zip_tseitin_19: $i > $i > $o ).
thf(zf_stmt_10,axiom,
! [W1: $i,W0: $i] :
( ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( zip_tseitin_19 @ W1 @ W0 ) ) ).
thf(zf_stmt_11,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_11]) ).
thf(zip_derived_cl1606,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_cl5151,plain,
! [X0: $i] :
( ~ ( isCountable0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ( zip_tseitin_23 @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1606,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_cl5152,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( zip_tseitin_23 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl5151,zip_derived_cl236]) ).
thf(zip_derived_cl43205,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) @ ( sdtlpdtrp0 @ xN @ sk__30 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( sdtlseqdt0 @ sk__30 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl41956,zip_derived_cl5152]) ).
thf(zip_derived_cl43289,plain,
( ~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__29 ) ) @ ( sdtlpdtrp0 @ xN @ sk__30 ) )
| ( sdtlseqdt0 @ sk__30 @ sk__29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl43205]) ).
thf(zip_derived_cl241,plain,
aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__29 ) ) @ ( sdtlpdtrp0 @ xN @ sk__30 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl243_002,plain,
aElementOf0 @ sk__30 @ szNzAzT0,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl244_003,plain,
aElementOf0 @ sk__29 @ szNzAzT0,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mLessASymm,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLessASymm]) ).
thf(zip_derived_cl2394,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( sk__29 = X0 )
| ~ ( sdtlseqdt0 @ X0 @ sk__29 )
| ~ ( sdtlseqdt0 @ sk__29 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl59]) ).
thf(zip_derived_cl6402,plain,
( ( sk__29 = sk__30 )
| ~ ( sdtlseqdt0 @ sk__30 @ sk__29 )
| ~ ( sdtlseqdt0 @ sk__29 @ sk__30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl2394]) ).
thf(zip_derived_cl242,plain,
sk__29 != sk__30,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6412,plain,
( ~ ( sdtlseqdt0 @ sk__30 @ sk__29 )
| ~ ( sdtlseqdt0 @ sk__29 @ sk__30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6402,zip_derived_cl242]) ).
thf(zip_derived_cl61_004,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[mLessTotal]) ).
thf(zip_derived_cl244_005,plain,
aElementOf0 @ sk__29 @ szNzAzT0,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl237_006,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_cl4420,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ sk__29 ) )
| ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( sdtlseqdt0 @ X0 @ sk__29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl237]) ).
thf(zip_derived_cl4431,plain,
! [X0: $i,X1: $i] :
( ( sdtlseqdt0 @ sk__29 @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ sk__29 @ szNzAzT0 )
| ~ ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ sk__29 ) )
| ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl4420]) ).
thf(zip_derived_cl244_007,plain,
aElementOf0 @ sk__29 @ szNzAzT0,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4439,plain,
! [X0: $i,X1: $i] :
( ( sdtlseqdt0 @ sk__29 @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ sk__29 ) )
| ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4431,zip_derived_cl244]) ).
thf(zip_derived_cl46_008,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(zip_derived_cl21891,plain,
! [X0: $i,X1: $i] :
( ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X0 ) ) )
| ~ ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ sk__29 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( sdtlseqdt0 @ sk__29 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl4439,zip_derived_cl46]) ).
thf(zip_derived_cl5152_009,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( zip_tseitin_23 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl5151,zip_derived_cl236]) ).
thf(zip_derived_cl239,plain,
( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__29 ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41823_010,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X0 ) ) )
| ~ ( zip_tseitin_23 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41810]) ).
thf(zip_derived_cl41961,plain,
( ~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__29 ) ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ sk__30 ) ) )
| ~ ( zip_tseitin_23 @ sk__30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl41823]) ).
thf(zip_derived_cl41994,plain,
( ~ ( aElementOf0 @ sk__30 @ szNzAzT0 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__29 ) ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ sk__30 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5152,zip_derived_cl41961]) ).
thf(zip_derived_cl243_011,plain,
aElementOf0 @ sk__30 @ szNzAzT0,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41995,plain,
~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__29 ) ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ sk__30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41994,zip_derived_cl243]) ).
thf(zip_derived_cl41996,plain,
( ( sdtlseqdt0 @ sk__29 @ sk__30 )
| ~ ( aElementOf0 @ sk__30 @ szNzAzT0 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__29 ) ) @ ( sdtlpdtrp0 @ xN @ sk__29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21891,zip_derived_cl41995]) ).
thf(zip_derived_cl243_012,plain,
aElementOf0 @ sk__30 @ szNzAzT0,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl245,plain,
aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__29 ) ) @ ( sdtlpdtrp0 @ xN @ sk__29 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41998,plain,
sdtlseqdt0 @ sk__29 @ sk__30,
inference(demod,[status(thm)],[zip_derived_cl41996,zip_derived_cl243,zip_derived_cl245]) ).
thf(zip_derived_cl42000,plain,
~ ( sdtlseqdt0 @ sk__30 @ sk__29 ),
inference(demod,[status(thm)],[zip_derived_cl6412,zip_derived_cl41998]) ).
thf(zip_derived_cl43308,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl43289,zip_derived_cl241,zip_derived_cl42000]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : NUM575+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Bu6y7om7lA true
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Fri Aug 25 12:40:11 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.18/0.35 % Running portfolio for 300 s
% 0.18/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35 % Number of cores: 8
% 0.18/0.35 % Python version: Python 3.6.8
% 0.18/0.35 % Running in FO mode
% 0.19/0.60 % Total configuration time : 435
% 0.19/0.60 % Estimated wc time : 1092
% 0.19/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 130.88/19.65 % Solved by fo/fo6_bce.sh.
% 130.88/19.65 % BCE start: 247
% 130.88/19.65 % BCE eliminated: 0
% 130.88/19.65 % PE start: 247
% 130.88/19.65 logic: eq
% 130.88/19.65 % PE eliminated: 19
% 130.88/19.65 % done 3447 iterations in 18.908s
% 130.88/19.65 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 130.88/19.65 % SZS output start Refutation
% See solution above
% 130.88/19.65
% 130.88/19.65
% 130.88/19.65 % Terminating...
% 131.68/19.76 % Runner terminated.
% 131.68/19.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------