TSTP Solution File: NUM630+3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM630+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.DPib9CIR9u true
% Computer : n020.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 12:42:53 EDT 2023
% Result : Theorem 15.64s 2.91s
% Output : Refutation 15.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 84
% Syntax : Number of formulae : 131 ( 32 unt; 57 typ; 0 def)
% Number of atoms : 257 ( 60 equ; 0 cnn)
% Maximal formula atoms : 47 ( 3 avg)
% Number of connectives : 1151 ( 31 ~; 31 |; 85 &; 937 @)
% ( 15 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 81 ( 81 >; 0 *; 0 +; 0 <<)
% Number of symbols : 45 ( 43 usr; 15 con; 0-3 aty)
% Number of variables : 90 ( 0 ^; 90 !; 0 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_48_type,type,
zip_tseitin_48: $i > $i > $i > $o ).
thf(szDzizrdt0_type,type,
szDzizrdt0: $i > $i ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
thf(aFunction0_type,type,
aFunction0: $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(xe_type,type,
xe: $i ).
thf(xO_type,type,
xO: $i ).
thf(zip_tseitin_45_type,type,
zip_tseitin_45: $i > $i > $o ).
thf(zip_tseitin_41_type,type,
zip_tseitin_41: $i > $i > $i > $o ).
thf(zip_tseitin_46_type,type,
zip_tseitin_46: $i > $i > $i > $o ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(zip_tseitin_42_type,type,
zip_tseitin_42: $i > $i > $o ).
thf(xc_type,type,
xc: $i ).
thf(sdtlbdtrb0_type,type,
sdtlbdtrb0: $i > $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(zip_tseitin_66_type,type,
zip_tseitin_66: $i > $o ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(zip_tseitin_39_type,type,
zip_tseitin_39: $i > $i > $o ).
thf(zip_tseitin_43_type,type,
zip_tseitin_43: $i > $i > $o ).
thf(zip_tseitin_47_type,type,
zip_tseitin_47: $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(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(xC_type,type,
xC: $i ).
thf(xQ_type,type,
xQ: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xp_type,type,
xp: $i ).
thf(xP_type,type,
xP: $i ).
thf(xd_type,type,
xd: $i ).
thf(zip_tseitin_38_type,type,
zip_tseitin_38: $i > $i > $o ).
thf(zip_tseitin_40_type,type,
zip_tseitin_40: $i > $o ).
thf(xk_type,type,
xk: $i ).
thf(xK_type,type,
xK: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(xN_type,type,
xN: $i ).
thf(zip_tseitin_44_type,type,
zip_tseitin_44: $i > $i > $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(zip_tseitin_37_type,type,
zip_tseitin_37: $i > $o ).
thf(xD_type,type,
xD: $i ).
thf(xn_type,type,
xn: $i ).
thf(m__5599,axiom,
( ( aElementOf0 @ xP @ ( slbdtsldtrb0 @ xD @ xk ) )
& ( aSubsetOf0 @ xP @ xD )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xP )
=> ( aElementOf0 @ W0 @ xD ) ) ) ).
thf(zip_derived_cl488,plain,
aSubsetOf0 @ xP @ xD,
inference(cnf,[status(esa)],[m__5599]) ).
thf(m__5309,axiom,
( ( ( sdtlpdtrp0 @ xe @ xn )
= xp )
& ( aElementOf0 @ xn @ szNzAzT0 )
& ( aElementOf0 @ xn @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
& ( ( sdtlpdtrp0 @ xd @ xn )
= ( szDzizrdt0 @ xd ) )
& ( aElementOf0 @ xn @ ( szDzozmdt0 @ xd ) ) ) ).
thf(zip_derived_cl473,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(m__4660,axiom,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aElementOf0 @ ( sdtlpdtrp0 @ xe @ W0 ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xe @ W0 ) @ W1 ) )
& ( ( sdtlpdtrp0 @ xe @ W0 )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( ( szDzozmdt0 @ xe )
= szNzAzT0 )
& ( aFunction0 @ xe ) ) ).
thf(zip_derived_cl401,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xe @ X0 )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__4660]) ).
thf(zip_derived_cl1716,plain,
( ( sdtlpdtrp0 @ xe @ xn )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl401]) ).
thf(zip_derived_cl472,plain,
( ( sdtlpdtrp0 @ xe @ xn )
= xp ),
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl1723,plain,
( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1716,zip_derived_cl472]) ).
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_0,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(zip_derived_cl294,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_42 @ X0 @ X1 )
| ~ ( aSubsetOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12954,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ xp ) )
| ( zip_tseitin_42 @ X0 @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl1723,zip_derived_cl294]) ).
thf(m__5585,axiom,
( ( xD
= ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xD )
<=> ( ( aElement0 @ W0 )
& ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
& ( W0
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) )
& ( aSet0 @ xD )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ W0 ) ) ) ).
thf(zip_derived_cl486,plain,
( xD
= ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ),
inference(cnf,[status(esa)],[m__5585]) ).
thf(zip_derived_cl1723_001,plain,
( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1716,zip_derived_cl472]) ).
thf(zip_derived_cl4773,plain,
( xD
= ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl486,zip_derived_cl1723]) ).
thf(zip_derived_cl12960,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ X0 @ xD )
| ( zip_tseitin_42 @ X0 @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl12954,zip_derived_cl4773]) ).
thf(zip_derived_cl12969,plain,
zip_tseitin_42 @ xP @ xn,
inference('sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl12960]) ).
thf(m__5217,axiom,
( ( sbrdtbr0 @ xP )
= xk ) ).
thf(zip_derived_cl470,plain,
( ( sbrdtbr0 @ xP )
= xk ),
inference(cnf,[status(esa)],[m__5217]) ).
thf(zf_stmt_1,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(zip_derived_cl295,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_43 @ X0 @ X1 )
| ~ ( zip_tseitin_42 @ X0 @ X1 )
| ( ( sbrdtbr0 @ X0 )
!= xk ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4886,plain,
! [X0: $i] :
( ( xk != xk )
| ~ ( zip_tseitin_42 @ xP @ X0 )
| ( zip_tseitin_43 @ xP @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl295]) ).
thf(zip_derived_cl4888,plain,
! [X0: $i] :
( ( zip_tseitin_43 @ xP @ X0 )
| ~ ( zip_tseitin_42 @ xP @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4886]) ).
thf(zip_derived_cl12972,plain,
zip_tseitin_43 @ xP @ xn,
inference('sup-',[status(thm)],[zip_derived_cl12969,zip_derived_cl4888]) ).
thf(zf_stmt_2,axiom,
! [W1: $i,W0: $i] :
( ( ( zip_tseitin_40 @ W0 )
=> ( zip_tseitin_43 @ W1 @ W0 ) )
=> ( zip_tseitin_44 @ W1 @ W0 ) ) ).
thf(zip_derived_cl297,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_44 @ X0 @ X1 )
| ~ ( zip_tseitin_43 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl12973,plain,
zip_tseitin_44 @ xP @ xn,
inference('sup-',[status(thm)],[zip_derived_cl12972,zip_derived_cl297]) ).
thf(zf_stmt_3,axiom,
! [W1: $i,W0: $i] :
( ( ( zip_tseitin_37 @ W0 )
=> ( zip_tseitin_44 @ W1 @ W0 ) )
=> ( zip_tseitin_45 @ W1 @ W0 ) ) ).
thf(zip_derived_cl299,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_45 @ X0 @ X1 )
| ~ ( zip_tseitin_44 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl12974,plain,
zip_tseitin_45 @ xP @ xn,
inference('sup-',[status(thm)],[zip_derived_cl12973,zip_derived_cl299]) ).
thf(zip_derived_cl473_002,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
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,type,
zip_tseitin_44: $i > $i > $o ).
thf(zf_stmt_14,type,
zip_tseitin_43: $i > $i > $o ).
thf(zf_stmt_15,type,
zip_tseitin_42: $i > $i > $o ).
thf(zf_stmt_16,type,
zip_tseitin_41: $i > $i > $i > $o ).
thf(zf_stmt_17,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_18,type,
zip_tseitin_40: $i > $o ).
thf(zf_stmt_19,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_20,type,
zip_tseitin_39: $i > $i > $o ).
thf(zf_stmt_21,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_22,type,
zip_tseitin_38: $i > $i > $o ).
thf(zf_stmt_23,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_24,type,
zip_tseitin_37: $i > $o ).
thf(zf_stmt_25,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_26,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_cl331,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( zip_tseitin_45 @ X0 @ X1 )
| ( zip_tseitin_49 @ X0 @ X1 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[zf_stmt_26]) ).
thf(zip_derived_cl6034,plain,
! [X0: $i] :
( ( zip_tseitin_49 @ X0 @ xn )
| ~ ( zip_tseitin_45 @ X0 @ xn )
| ~ ( aSet0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl331]) ).
thf(zip_derived_cl12976,plain,
( ~ ( aSet0 @ xP )
| ( zip_tseitin_49 @ xP @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl12974,zip_derived_cl6034]) ).
thf(m__5164,axiom,
( ( xP
= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xP )
<=> ( ( aElement0 @ W0 )
& ( aElementOf0 @ W0 @ xQ )
& ( W0
!= ( szmzizndt0 @ xQ ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xQ )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ xQ ) @ W0 ) )
& ( aSet0 @ xP ) ) ).
thf(zip_derived_cl456,plain,
aSet0 @ xP,
inference(cnf,[status(esa)],[m__5164]) ).
thf(zip_derived_cl12978,plain,
zip_tseitin_49 @ xP @ xn,
inference(demod,[status(thm)],[zip_derived_cl12976,zip_derived_cl456]) ).
thf(zip_derived_cl312,plain,
! [X0: $i,X1: $i] :
( ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ X1 ) @ X0 )
= ( sdtlpdtrp0 @ xc @ ( sdtpldt0 @ X0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) ) ) ) )
| ~ ( zip_tseitin_49 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl13307,plain,
( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xn ) @ xP )
= ( sdtlpdtrp0 @ xc @ ( sdtpldt0 @ xP @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12978,zip_derived_cl312]) ).
thf(zip_derived_cl1723_003,plain,
( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1716,zip_derived_cl472]) ).
thf(m__5147,axiom,
( ( xp
= ( szmzizndt0 @ xQ ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xQ )
=> ( sdtlseqdt0 @ xp @ W0 ) )
& ( aElementOf0 @ xp @ xQ ) ) ).
thf(zip_derived_cl453,plain,
aElementOf0 @ xp @ xQ,
inference(cnf,[status(esa)],[m__5147]) ).
thf(mConsDiff,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( ( sdtpldt0 @ ( sdtmndt0 @ W0 @ W1 ) @ W1 )
= W0 ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( ( sdtpldt0 @ ( sdtmndt0 @ X1 @ X0 ) @ X0 )
= X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mConsDiff]) ).
thf(zip_derived_cl1828,plain,
( ~ ( aSet0 @ xQ )
| ( ( sdtpldt0 @ ( sdtmndt0 @ xQ @ xp ) @ xp )
= xQ ) ),
inference('sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl37]) ).
thf(m__5078,axiom,
( ( aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xO @ xK ) )
& ( ( sbrdtbr0 @ xQ )
= xK )
& ( aSubsetOf0 @ xQ @ xO )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xQ )
=> ( aElementOf0 @ W0 @ xO ) )
& ( aSet0 @ xQ ) ) ).
thf(zip_derived_cl439,plain,
aSet0 @ xQ,
inference(cnf,[status(esa)],[m__5078]) ).
thf(zip_derived_cl462,plain,
( xP
= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ),
inference(cnf,[status(esa)],[m__5164]) ).
thf(zip_derived_cl455,plain,
( xp
= ( szmzizndt0 @ xQ ) ),
inference(cnf,[status(esa)],[m__5147]) ).
thf(zip_derived_cl958,plain,
( xP
= ( sdtmndt0 @ xQ @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl462,zip_derived_cl455]) ).
thf(zip_derived_cl1852,plain,
( ( sdtpldt0 @ xP @ xp )
= xQ ),
inference(demod,[status(thm)],[zip_derived_cl1828,zip_derived_cl439,zip_derived_cl958]) ).
thf(zip_derived_cl13310,plain,
( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xn ) @ xP )
= ( sdtlpdtrp0 @ xc @ xQ ) ),
inference(demod,[status(thm)],[zip_derived_cl13307,zip_derived_cl1723,zip_derived_cl1852]) ).
thf(m__,conjecture,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ W0 ) )
=> ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xP @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
<=> ( ( ( W0
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) )
| ( aElementOf0 @ W0 @ xP ) )
& ( aElement0 @ W0 ) ) )
& ( aSet0 @ ( sdtpldt0 @ xP @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) )
=> ( ( sdtlpdtrp0 @ xc @ ( sdtpldt0 @ xP @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
= ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xn ) @ xP ) ) ) ) ).
thf(zf_stmt_27,type,
zip_tseitin_66: $i > $o ).
thf(zf_stmt_28,axiom,
! [W0: $i] :
( ( zip_tseitin_66 @ W0 )
<=> ( ( aElement0 @ W0 )
& ( ( aElementOf0 @ W0 @ xP )
| ( W0
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ) ) ).
thf(zf_stmt_29,conjecture,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ W0 ) )
=> ( ( ( aSet0 @ ( sdtpldt0 @ xP @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xP @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
<=> ( zip_tseitin_66 @ W0 ) ) )
=> ( ( sdtlpdtrp0 @ xc @ ( sdtpldt0 @ xP @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
= ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xn ) @ xP ) ) ) ) ).
thf(zf_stmt_30,negated_conjecture,
~ ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ W0 ) )
=> ( ( ( aSet0 @ ( sdtpldt0 @ xP @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xP @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
<=> ( zip_tseitin_66 @ W0 ) ) )
=> ( ( sdtlpdtrp0 @ xc @ ( sdtpldt0 @ xP @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
= ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xn ) @ xP ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_29]) ).
thf(zip_derived_cl495,plain,
( ( sdtlpdtrp0 @ xc @ ( sdtpldt0 @ xP @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
!= ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xn ) @ xP ) ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf(zip_derived_cl1723_004,plain,
( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1716,zip_derived_cl472]) ).
thf(zip_derived_cl1789,plain,
( ( sdtlpdtrp0 @ xc @ ( sdtpldt0 @ xP @ xp ) )
!= ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xn ) @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl495,zip_derived_cl1723]) ).
thf(zip_derived_cl1852_005,plain,
( ( sdtpldt0 @ xP @ xp )
= xQ ),
inference(demod,[status(thm)],[zip_derived_cl1828,zip_derived_cl439,zip_derived_cl958]) ).
thf(zip_derived_cl1970,plain,
( ( sdtlpdtrp0 @ xc @ xQ )
!= ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xn ) @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl1789,zip_derived_cl1852]) ).
thf(zip_derived_cl13311,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13310,zip_derived_cl1970]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM630+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.DPib9CIR9u true
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 11:26:00 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % 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
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.98/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.98/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.98/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.98/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 15.64/2.91 % Solved by fo/fo5.sh.
% 15.64/2.91 % done 3214 iterations in 2.123s
% 15.64/2.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 15.64/2.91 % SZS output start Refutation
% See solution above
% 15.64/2.91
% 15.64/2.91
% 15.64/2.91 % Terminating...
% 15.64/2.98 % Runner terminated.
% 15.64/2.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------