TSTP Solution File: NUM527+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM527+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.J3g18ngmGI true
% Computer : n024.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 12:42:08 EDT 2023
% Result : Theorem 131.83s 19.48s
% Output : Refutation 131.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 28
% Syntax : Number of formulae : 161 ( 49 unt; 12 typ; 0 def)
% Number of atoms : 435 ( 106 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1413 ( 258 ~; 235 |; 34 &; 869 @)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 156 ( 0 ^; 151 !; 5 ?; 156 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sdtsldt0_type,type,
sdtsldt0: $i > $i > $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(xn_type,type,
xn: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xq_type,type,
xq: $i ).
thf(xm_type,type,
xm: $i ).
thf(xp_type,type,
xp: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(m__,conjecture,
( ( ? [W0: $i] :
( ( ( sdtpldt0 @ xn @ W0 )
= xm )
& ( aNaturalNumber0 @ W0 ) )
& ( sdtlseqdt0 @ xn @ xm ) )
=> ( ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xn ) @ W0 )
= ( sdtasdt0 @ xm @ xm ) )
& ( aNaturalNumber0 @ W0 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xn ) @ ( sdtasdt0 @ xm @ xm ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ? [W0: $i] :
( ( ( sdtpldt0 @ xn @ W0 )
= xm )
& ( aNaturalNumber0 @ W0 ) )
& ( sdtlseqdt0 @ xn @ xm ) )
=> ( ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xn ) @ W0 )
= ( sdtasdt0 @ xm @ xm ) )
& ( aNaturalNumber0 @ W0 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xn ) @ ( sdtasdt0 @ xm @ xm ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl99,plain,
( ( sdtpldt0 @ xn @ sk__8 )
= xm ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mSortsB_02,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(mAMDistr,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
= ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ X0 @ X2 ) @ X1 )
= ( sdtpldt0 @ ( sdtasdt0 @ X0 @ X1 ) @ ( sdtasdt0 @ X2 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[mAMDistr]) ).
thf(zip_derived_cl5_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(mDefLE,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( ( sdtpldt0 @ W0 @ W2 )
= W1 )
& ( aNaturalNumber0 @ W2 ) ) ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sk_ @ X1 @ X0 ) )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefLE]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ ( sk_ @ X1 @ X0 ) )
= X1 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefLE]) ).
thf(mAddComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl99_002,plain,
( ( sdtpldt0 @ xn @ sk__8 )
= xm ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mAddCanc,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W0 @ W2 ) )
| ( ( sdtpldt0 @ W1 @ W0 )
= ( sdtpldt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X0 = X2 )
| ( ( sdtpldt0 @ X0 @ X1 )
!= ( sdtpldt0 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[mAddCanc]) ).
thf(zip_derived_cl1175,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ sk__8 )
| ~ ( aNaturalNumber0 @ X0 )
| ( xn = X0 )
| ( xm
!= ( sdtpldt0 @ X0 @ sk__8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl18]) ).
thf(m__2987,axiom,
( ( xp != sz00 )
& ( xm != sz00 )
& ( xn != sz00 )
& ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl76,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl100,plain,
aNaturalNumber0 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1193,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( xn = X0 )
| ( xm
!= ( sdtpldt0 @ X0 @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1175,zip_derived_cl76,zip_derived_cl100]) ).
thf(zip_derived_cl1905,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ sk__8 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( xn = X0 )
| ( xm
!= ( sdtpldt0 @ sk__8 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1193]) ).
thf(zip_derived_cl100_003,plain,
aNaturalNumber0 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1910,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( xn = X0 )
| ( xm
!= ( sdtpldt0 @ sk__8 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1905,zip_derived_cl100]) ).
thf(zip_derived_cl1911,plain,
! [X0: $i] :
( ( xm
!= ( sdtpldt0 @ sk__8 @ X0 ) )
| ( xn = X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1910]) ).
thf(zip_derived_cl2026,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ sk__8 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sk__8 )
| ( xm != X0 )
| ( xn
= ( sk_ @ X0 @ sk__8 ) )
| ~ ( aNaturalNumber0 @ ( sk_ @ X0 @ sk__8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl1911]) ).
thf(zip_derived_cl100_004,plain,
aNaturalNumber0 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2033,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ sk__8 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( xm != X0 )
| ( xn
= ( sk_ @ X0 @ sk__8 ) )
| ~ ( aNaturalNumber0 @ ( sk_ @ X0 @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2026,zip_derived_cl100]) ).
thf(zip_derived_cl99_005,plain,
( ( sdtpldt0 @ xn @ sk__8 )
= xm ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_006,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ X0 @ X2 )
!= X1 ) ),
inference(cnf,[status(esa)],[mDefLE]) ).
thf(zip_derived_cl1489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( sdtlseqdt0 @ X0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X1 @ X0 )
!= X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl27]) ).
thf(zip_derived_cl1499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtpldt0 @ X1 @ X0 )
!= X2 )
| ( sdtlseqdt0 @ X0 @ X2 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1489]) ).
thf(zip_derived_cl1577,plain,
! [X0: $i] :
( ( xm != X0 )
| ( sdtlseqdt0 @ sk__8 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sk__8 )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl1499]) ).
thf(zip_derived_cl100_007,plain,
aNaturalNumber0 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76_008,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1587,plain,
! [X0: $i] :
( ( xm != X0 )
| ( sdtlseqdt0 @ sk__8 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1577,zip_derived_cl100,zip_derived_cl76]) ).
thf(zip_derived_cl3563,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( sk_ @ X0 @ sk__8 ) )
| ( xn
= ( sk_ @ X0 @ sk__8 ) )
| ( xm != X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2033,zip_derived_cl1587]) ).
thf(zip_derived_cl3564,plain,
( ~ ( aNaturalNumber0 @ xm )
| ( xn
= ( sk_ @ xm @ sk__8 ) )
| ~ ( aNaturalNumber0 @ ( sk_ @ xm @ sk__8 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3563]) ).
thf(zip_derived_cl75,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl3565,plain,
( ( xn
= ( sk_ @ xm @ sk__8 ) )
| ~ ( aNaturalNumber0 @ ( sk_ @ xm @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3564,zip_derived_cl75]) ).
thf(zip_derived_cl4955,plain,
( ~ ( sdtlseqdt0 @ sk__8 @ xm )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ sk__8 )
| ( xn
= ( sk_ @ xm @ sk__8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl3565]) ).
thf(m_AddZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( X0
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
thf(zip_derived_cl27_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ X0 @ X2 )
!= X1 ) ),
inference(cnf,[status(esa)],[mDefLE]) ).
thf(zip_derived_cl1493,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ sz00 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 != X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl27]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1504,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ sz00 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 != X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1493,zip_derived_cl1]) ).
thf(zip_derived_cl1505,plain,
! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ( sdtlseqdt0 @ sz00 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1504]) ).
thf(zip_derived_cl2406,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ sz00 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1505]) ).
thf(zip_derived_cl2407,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz00 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2406]) ).
thf(zip_derived_cl9_010,plain,
! [X0: $i] :
( ( X0
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
thf(zip_derived_cl99_011,plain,
( ( sdtpldt0 @ xn @ sk__8 )
= xm ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mMonAdd,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != W1 )
& ( sdtlseqdt0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( aNaturalNumber0 @ W2 )
=> ( ( ( sdtpldt0 @ W2 @ W0 )
!= ( sdtpldt0 @ W2 @ W1 ) )
& ( sdtlseqdt0 @ ( sdtpldt0 @ W2 @ W0 ) @ ( sdtpldt0 @ W2 @ W1 ) )
& ( ( sdtpldt0 @ W0 @ W2 )
!= ( sdtpldt0 @ W1 @ W2 ) )
& ( sdtlseqdt0 @ ( sdtpldt0 @ W0 @ W2 ) @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ X0 @ X2 ) @ ( sdtpldt0 @ X1 @ X2 ) )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( sdtlseqdt0 @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[mMonAdd]) ).
thf(zip_derived_cl1707,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xn )
| ( sdtlseqdt0 @ ( sdtpldt0 @ X0 @ sk__8 ) @ xm )
| ~ ( aNaturalNumber0 @ sk__8 )
| ~ ( sdtlseqdt0 @ X0 @ xn )
| ( X0 = xn ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl99,zip_derived_cl39]) ).
thf(zip_derived_cl76_012,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl100_013,plain,
aNaturalNumber0 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1725,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ X0 @ sk__8 ) @ xm )
| ~ ( sdtlseqdt0 @ X0 @ xn )
| ( X0 = xn ) ),
inference(demod,[status(thm)],[zip_derived_cl1707,zip_derived_cl76,zip_derived_cl100]) ).
thf(zip_derived_cl3229,plain,
( ~ ( aNaturalNumber0 @ sk__8 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( sdtlseqdt0 @ sk__8 @ xm )
| ~ ( sdtlseqdt0 @ sz00 @ xn )
| ( sz00 = xn ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl1725]) ).
thf(zip_derived_cl100_014,plain,
aNaturalNumber0 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_015,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl3236,plain,
( ( sdtlseqdt0 @ sk__8 @ xm )
| ~ ( sdtlseqdt0 @ sz00 @ xn )
| ( sz00 = xn ) ),
inference(demod,[status(thm)],[zip_derived_cl3229,zip_derived_cl100,zip_derived_cl1]) ).
thf(zip_derived_cl73,plain,
xn != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl3237,plain,
( ( sdtlseqdt0 @ sk__8 @ xm )
| ~ ( sdtlseqdt0 @ sz00 @ xn ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3236,zip_derived_cl73]) ).
thf(zip_derived_cl3243,plain,
( ~ ( aNaturalNumber0 @ xn )
| ( sdtlseqdt0 @ sk__8 @ xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2407,zip_derived_cl3237]) ).
thf(zip_derived_cl76_016,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl3244,plain,
sdtlseqdt0 @ sk__8 @ xm,
inference(demod,[status(thm)],[zip_derived_cl3243,zip_derived_cl76]) ).
thf(zip_derived_cl75_017,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl100_018,plain,
aNaturalNumber0 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4956,plain,
( xn
= ( sk_ @ xm @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl4955,zip_derived_cl3244,zip_derived_cl75,zip_derived_cl100]) ).
thf(zip_derived_cl25_019,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ ( sk_ @ X1 @ X0 ) )
= X1 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefLE]) ).
thf(zip_derived_cl4999,plain,
( ~ ( aNaturalNumber0 @ sk__8 )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtpldt0 @ sk__8 @ xn )
= xm )
| ~ ( sdtlseqdt0 @ sk__8 @ xm ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4956,zip_derived_cl25]) ).
thf(zip_derived_cl100_020,plain,
aNaturalNumber0 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75_021,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl3244_022,plain,
sdtlseqdt0 @ sk__8 @ xm,
inference(demod,[status(thm)],[zip_derived_cl3243,zip_derived_cl76]) ).
thf(zip_derived_cl5002,plain,
( ( sdtpldt0 @ sk__8 @ xn )
= xm ),
inference(demod,[status(thm)],[zip_derived_cl4999,zip_derived_cl100,zip_derived_cl75,zip_derived_cl3244]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mAMDistr]) ).
thf(zip_derived_cl6_023,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(mAddAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl6_024,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl102,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xn ) @ X0 )
!= ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl879,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) )
| ( ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xn @ xn ) )
!= ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl102]) ).
thf(zip_derived_cl5_025,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(m__3014,axiom,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ) ).
thf(zip_derived_cl84,plain,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(cnf,[status(esa)],[m__3014]) ).
thf(zip_derived_cl5_026,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl839,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl84,zip_derived_cl5]) ).
thf(zip_derived_cl74,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl840,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl839,zip_derived_cl74]) ).
thf(zip_derived_cl841,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xm )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl840]) ).
thf(zip_derived_cl75_027,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl75_028,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl842,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ),
inference(demod,[status(thm)],[zip_derived_cl841,zip_derived_cl75,zip_derived_cl75]) ).
thf(zip_derived_cl882,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xn @ xn ) )
!= ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl879,zip_derived_cl842]) ).
thf(zip_derived_cl883,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xn @ xn ) )
!= ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl882]) ).
thf(zip_derived_cl889,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xn @ xn ) ) )
!= ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl883]) ).
thf(zip_derived_cl842_029,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ),
inference(demod,[status(thm)],[zip_derived_cl841,zip_derived_cl75,zip_derived_cl75]) ).
thf(zip_derived_cl894,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xn @ xn ) ) )
!= ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl889,zip_derived_cl842]) ).
thf(mSortsB,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl2801,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xn @ xn ) ) )
!= ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl894,zip_derived_cl4]) ).
thf(zip_derived_cl2802,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X1 @ ( sdtasdt0 @ xn @ xn ) ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ ( sdtasdt0 @ xn @ xn ) ) @ X0 )
!= ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl2801]) ).
thf(zip_derived_cl2815,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ ( sdtasdt0 @ xn @ xn ) ) @ X0 )
!= ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X1 @ ( sdtasdt0 @ xn @ xn ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2802]) ).
thf(zip_derived_cl4736,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ X0 ) )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ ( sdtpldt0 @ X0 @ xn ) ) @ X1 )
!= ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ ( sdtpldt0 @ X0 @ xn ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl2815]) ).
thf(zip_derived_cl76_030,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl76_031,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl4748,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ X0 ) )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ ( sdtpldt0 @ X0 @ xn ) ) @ X1 )
!= ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ ( sdtpldt0 @ X0 @ xn ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4736,zip_derived_cl76,zip_derived_cl76]) ).
thf(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(m__3059,axiom,
( ( xq
= ( sdtsldt0 @ xn @ xp ) )
& ( xn
= ( sdtasdt0 @ xp @ xq ) )
& ( aNaturalNumber0 @ xq ) ) ).
thf(zip_derived_cl96,plain,
( xn
= ( sdtasdt0 @ xp @ xq ) ),
inference(cnf,[status(esa)],[m__3059]) ).
thf(mMulAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mMulAsso]) ).
thf(zip_derived_cl5_032,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl943,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X2 @ X1 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl5]) ).
thf(zip_derived_cl957,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( aNaturalNumber0 @ ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X2 @ X1 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl943]) ).
thf(zip_derived_cl5_033,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl11726,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl957,zip_derived_cl5]) ).
thf(zip_derived_cl11755,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xq )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xp )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ xn ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl96,zip_derived_cl11726]) ).
thf(zip_derived_cl97,plain,
aNaturalNumber0 @ xq,
inference(cnf,[status(esa)],[m__3059]) ).
thf(zip_derived_cl74_034,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl11780,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11755,zip_derived_cl97,zip_derived_cl74]) ).
thf(zip_derived_cl11928,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl11780]) ).
thf(zip_derived_cl76_035,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl11934,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11928,zip_derived_cl76]) ).
thf(zip_derived_cl11935,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11934]) ).
thf(zip_derived_cl29482,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ ( sdtpldt0 @ X0 @ xn ) ) )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ ( sdtpldt0 @ X0 @ xn ) ) @ X1 )
!= ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl4748,zip_derived_cl11935]) ).
thf(zip_derived_cl29502,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ X0 )
!= ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5002,zip_derived_cl29482]) ).
thf(zip_derived_cl100_036,plain,
aNaturalNumber0 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29524,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ X0 )
!= ( sdtasdt0 @ xm @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29502,zip_derived_cl100]) ).
thf(zip_derived_cl45360,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ X0 )
!= ( sdtasdt0 @ xm @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl29524]) ).
thf(zip_derived_cl75_037,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl76_038,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl45362,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ X0 )
!= ( sdtasdt0 @ xm @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45360,zip_derived_cl75,zip_derived_cl76]) ).
thf(zip_derived_cl45376,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ xm ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xn @ X0 ) @ xm )
!= ( sdtasdt0 @ xm @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl45362]) ).
thf(zip_derived_cl75_039,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl76_040,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl45383,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ xm ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xn @ X0 ) @ xm )
!= ( sdtasdt0 @ xm @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45376,zip_derived_cl75,zip_derived_cl76]) ).
thf(zip_derived_cl107336,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xn @ X0 ) @ xm )
!= ( sdtasdt0 @ xm @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl45383]) ).
thf(zip_derived_cl75_041,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl107348,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xn @ X0 ) @ xm )
!= ( sdtasdt0 @ xm @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl107336,zip_derived_cl75]) ).
thf(zip_derived_cl107349,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ ( sdtpldt0 @ xn @ X0 ) @ xm )
!= ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl107348]) ).
thf(zip_derived_cl107769,plain,
( ( ( sdtasdt0 @ xm @ xm )
!= ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl107349]) ).
thf(zip_derived_cl100_042,plain,
aNaturalNumber0 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl107791,plain,
( ( sdtasdt0 @ xm @ xm )
!= ( sdtasdt0 @ xm @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl107769,zip_derived_cl100]) ).
thf(zip_derived_cl107792,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl107791]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : NUM527+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.J3g18ngmGI true
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Aug 25 08:59:09 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.19/0.62 % Total configuration time : 435
% 0.19/0.62 % Estimated wc time : 1092
% 0.19/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.96/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.96/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.96/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.96/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.96/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.96/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.96/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 131.83/19.48 % Solved by fo/fo6_bce.sh.
% 131.83/19.48 % BCE start: 104
% 131.83/19.48 % BCE eliminated: 1
% 131.83/19.48 % PE start: 103
% 131.83/19.48 logic: eq
% 131.83/19.48 % PE eliminated: 1
% 131.83/19.48 % done 6894 iterations in 18.749s
% 131.83/19.48 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 131.83/19.48 % SZS output start Refutation
% See solution above
% 131.83/19.48
% 131.83/19.48
% 131.83/19.48 % Terminating...
% 131.83/19.57 % Runner terminated.
% 131.83/19.58 % Zipperpin 1.5 exiting
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