TSTP Solution File: NUM503+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM503+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.e9u3ll1165 true
% Computer : n013.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 12:41:56 EDT 2023
% Result : Theorem 14.75s 2.71s
% Output : Refutation 14.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 35
% Syntax : Number of formulae : 199 ( 65 unt; 16 typ; 0 def)
% Number of atoms : 534 ( 188 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1776 ( 271 ~; 272 |; 58 &;1154 @)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 147 ( 0 ^; 136 !; 11 ?; 147 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(xp_type,type,
xp: $i ).
thf(sdtsldt0_type,type,
sdtsldt0: $i > $i > $i ).
thf(sz10_type,type,
sz10: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(isPrime0_type,type,
isPrime0: $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xn_type,type,
xn: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(xk_type,type,
xk: $i ).
thf(mMonMul,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( W0 != sz00 )
& ( W1 != W2 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) )
& ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X2 @ X0 ) )
| ~ ( sdtlseqdt0 @ X1 @ X2 )
| ( X1 = X2 ) ),
inference(cnf,[status(esa)],[mMonMul]) ).
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__2306,axiom,
( ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( aNaturalNumber0 @ xk ) ) ).
thf(zip_derived_cl115,plain,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(mDefQuot,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != sz00 )
& ( doDivides0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtsldt0 @ W1 @ W0 ) )
<=> ( ( aNaturalNumber0 @ W2 )
& ( W1
= ( sdtasdt0 @ W0 @ W2 ) ) ) ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( X1
= ( sdtasdt0 @ X0 @ X2 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl2322,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl53]) ).
thf(m__1837,axiom,
( ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl70,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl116,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
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(zip_derived_cl929,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xk )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl5]) ).
thf(zip_derived_cl70_001,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl930,plain,
( ~ ( aNaturalNumber0 @ xk )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl929,zip_derived_cl70]) ).
thf(zip_derived_cl117,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl935,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ),
inference(demod,[status(thm)],[zip_derived_cl930,zip_derived_cl117]) ).
thf(m__1860,axiom,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
& ? [W0: $i] :
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( isPrime0 @ xp )
& ! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( ? [W1: $i] :
( ( xp
= ( sdtasdt0 @ W0 @ W1 ) )
& ( aNaturalNumber0 @ W1 ) )
| ( doDivides0 @ W0 @ xp ) ) )
=> ( ( W0 = sz10 )
| ( W0 = xp ) ) )
& ( xp != sz10 )
& ( xp != sz00 ) ) ).
thf(zip_derived_cl102,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl2324,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2322,zip_derived_cl70,zip_derived_cl935,zip_derived_cl102]) ).
thf(zip_derived_cl95,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl2325,plain,
! [X0: $i] :
( ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2324,zip_derived_cl95]) ).
thf(zip_derived_cl10_002,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl2327,plain,
! [X0: $i] :
( ( X0 != xk )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ X0 @ xp ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2325,zip_derived_cl10]) ).
thf(zip_derived_cl70_003,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2355,plain,
! [X0: $i] :
( ( X0 != xk )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ X0 @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2327,zip_derived_cl70]) ).
thf(zip_derived_cl115_004,plain,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( aNaturalNumber0 @ X2 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl2283,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl52]) ).
thf(zip_derived_cl70_005,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl935_006,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ),
inference(demod,[status(thm)],[zip_derived_cl930,zip_derived_cl117]) ).
thf(zip_derived_cl102_007,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl2285,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2283,zip_derived_cl70,zip_derived_cl935,zip_derived_cl102]) ).
thf(zip_derived_cl95_008,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl2286,plain,
! [X0: $i] :
( ( X0 != xk )
| ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2285,zip_derived_cl95]) ).
thf(zip_derived_cl2463,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ X0 @ xp ) )
| ( X0 != xk ) ),
inference(clc,[status(thm)],[zip_derived_cl2355,zip_derived_cl2286]) ).
thf(zip_derived_cl5_009,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(m__2287,axiom,
( ( sdtlseqdt0 @ xm @ xp )
& ? [W0: $i] :
( ( ( sdtpldt0 @ xm @ W0 )
= xp )
& ( aNaturalNumber0 @ W0 ) )
& ( xm != xp )
& ( sdtlseqdt0 @ xn @ xp )
& ? [W0: $i] :
( ( ( sdtpldt0 @ xn @ W0 )
= xp )
& ( aNaturalNumber0 @ W0 ) )
& ( xn != xp ) ) ).
thf(zip_derived_cl108,plain,
( ( sdtpldt0 @ xn @ sk__10 )
= xp ),
inference(cnf,[status(esa)],[m__2287]) ).
thf(zip_derived_cl5_010,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_011,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(mLETotal,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( ( W1 != W0 )
& ( sdtlseqdt0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(m__,conjecture,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xm ) )
& ( ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ W0 )
= ( sdtasdt0 @ xp @ xm ) )
& ( aNaturalNumber0 @ W0 ) ) )
& ( ( sdtasdt0 @ xp @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
& ( ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ W0 )
= ( sdtasdt0 @ xp @ xk ) )
& ( aNaturalNumber0 @ W0 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xm ) )
& ( ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ W0 )
= ( sdtasdt0 @ xp @ xm ) )
& ( aNaturalNumber0 @ W0 ) ) )
& ( ( sdtasdt0 @ xp @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
& ( ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ W0 )
= ( sdtasdt0 @ xp @ xk ) )
& ( aNaturalNumber0 @ W0 ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl139,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ X0 )
!= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116_012,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl116_013,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl2796,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ X0 )
!= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xn @ xm ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl139,zip_derived_cl116,zip_derived_cl116]) ).
thf(zip_derived_cl2797,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ X0 )
!= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2796]) ).
thf(zip_derived_cl2798,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ X0 )
!= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl2797]) ).
thf(zip_derived_cl935_014,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ),
inference(demod,[status(thm)],[zip_derived_cl930,zip_derived_cl117]) ).
thf(zip_derived_cl2805,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ X0 )
!= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2798,zip_derived_cl935]) ).
thf(zip_derived_cl3197,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ X0 )
!= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2805]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_015,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3201,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ X0 )
!= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3197,zip_derived_cl71,zip_derived_cl70]) ).
thf(zip_derived_cl3213,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xn @ X0 ) @ xm )
!= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl3201]) ).
thf(zip_derived_cl71_016,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3222,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xn @ X0 ) @ xm )
!= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3213,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl3685,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xn @ X0 ) @ xm )
!= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl3222]) ).
thf(zip_derived_cl71_017,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3694,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xn @ X0 ) @ xm )
!= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3685,zip_derived_cl71]) ).
thf(zip_derived_cl3695,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xn @ X0 ) @ xm )
!= ( sdtasdt0 @ xp @ xm ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3694]) ).
thf(zip_derived_cl5112,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
!= ( sdtasdt0 @ xp @ xm ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl3695]) ).
thf(zip_derived_cl109,plain,
aNaturalNumber0 @ sk__10,
inference(cnf,[status(esa)],[m__2287]) ).
thf(zip_derived_cl5121,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
!= ( sdtasdt0 @ xp @ xm ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5112,zip_derived_cl109]) ).
thf(zip_derived_cl5122,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5121]) ).
thf(mLEAsym,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLEAsym]) ).
thf(zip_derived_cl5124,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xn @ xm ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5122,zip_derived_cl32]) ).
thf(zip_derived_cl935_018,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ),
inference(demod,[status(thm)],[zip_derived_cl930,zip_derived_cl117]) ).
thf(zip_derived_cl5133,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xn @ xm ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5124,zip_derived_cl935]) ).
thf(zip_derived_cl5134,plain,
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5133]) ).
thf(zip_derived_cl5142,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl5134]) ).
thf(zip_derived_cl71_019,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_020,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl5146,plain,
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5142,zip_derived_cl71,zip_derived_cl70]) ).
thf(zip_derived_cl5185,plain,
! [X0: $i] :
( ( X0 != xk )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ X0 @ xp ) )
| ( ( sdtasdt0 @ X0 @ xp )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2463,zip_derived_cl5146]) ).
thf(zip_derived_cl5288,plain,
( ( ( sdtasdt0 @ xk @ xp )
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xk @ xp ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5185]) ).
thf(zip_derived_cl5292,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp )
| ( ( sdtasdt0 @ xk @ xp )
= ( sdtasdt0 @ xm @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xm @ xp ) @ ( sdtasdt0 @ xk @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl5288]) ).
thf(zip_derived_cl71_021,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_022,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl5298,plain,
( ( ( sdtasdt0 @ xk @ xp )
= ( sdtasdt0 @ xm @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xm @ xp ) @ ( sdtasdt0 @ xk @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5292,zip_derived_cl71,zip_derived_cl70]) ).
thf(zip_derived_cl5312,plain,
( ( xm = xk )
| ~ ( sdtlseqdt0 @ xm @ xk )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ( xp = sz00 )
| ( ( sdtasdt0 @ xk @ xp )
= ( sdtasdt0 @ xm @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl5298]) ).
thf(zip_derived_cl117_023,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl70_024,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_025,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl5317,plain,
( ( xm = xk )
| ~ ( sdtlseqdt0 @ xm @ xk )
| ( xp = sz00 )
| ( ( sdtasdt0 @ xk @ xp )
= ( sdtasdt0 @ xm @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5312,zip_derived_cl117,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl95_026,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__1860]) ).
thf(m__2389,axiom,
( ( sdtlseqdt0 @ xp @ xk )
& ? [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
= xk )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zip_derived_cl136,plain,
( ( sdtpldt0 @ xp @ sk__14 )
= xk ),
inference(cnf,[status(esa)],[m__2389]) ).
thf(m__2075,axiom,
~ ( ? [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
= xm )
& ( aNaturalNumber0 @ W0 ) )
| ( sdtlseqdt0 @ xp @ xm ) ) ).
thf(zip_derived_cl106,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xp @ X0 )
!= xm )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m__2075]) ).
thf(zip_derived_cl1074,plain,
( ( xk != xm )
| ~ ( aNaturalNumber0 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl106]) ).
thf(zip_derived_cl137,plain,
aNaturalNumber0 @ sk__14,
inference(cnf,[status(esa)],[m__2389]) ).
thf(zip_derived_cl1201,plain,
xk != xm,
inference(demod,[status(thm)],[zip_derived_cl1074,zip_derived_cl137]) ).
thf(zip_derived_cl5318,plain,
( ~ ( sdtlseqdt0 @ xm @ xk )
| ( ( sdtasdt0 @ xk @ xp )
= ( sdtasdt0 @ xm @ xp ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5317,zip_derived_cl95,zip_derived_cl1201]) ).
thf(zip_derived_cl35_027,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
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_cl35_028,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
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_cl136_029,plain,
( ( sdtpldt0 @ xp @ sk__14 )
= xk ),
inference(cnf,[status(esa)],[m__2389]) ).
thf(zip_derived_cl6_030,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_031,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl106_032,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xp @ X0 )
!= xm )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m__2075]) ).
thf(zip_derived_cl1071,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xp )
| ( ( sdtpldt0 @ X0 @ xp )
!= xm )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl106]) ).
thf(zip_derived_cl70_033,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1075,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ xp )
!= xm )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1071,zip_derived_cl70]) ).
thf(zip_derived_cl1076,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ xp )
!= xm )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1075]) ).
thf(zip_derived_cl1143,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ xp ) )
!= xm )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl1076]) ).
thf(zip_derived_cl70_034,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1149,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ xp ) )
!= xm )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1143,zip_derived_cl70]) ).
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_cl5656,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ xp ) )
!= xm )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1149,zip_derived_cl4]) ).
thf(zip_derived_cl5663,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ xp @ X0 ) )
!= xm )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl5656]) ).
thf(zip_derived_cl70_035,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl5673,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ xp @ X0 ) )
!= xm )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl5663,zip_derived_cl70]) ).
thf(zip_derived_cl5674,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ xp @ X0 ) )
!= xm )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5673]) ).
thf(zip_derived_cl5695,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ xk )
!= xm )
| ~ ( aNaturalNumber0 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl5674]) ).
thf(zip_derived_cl137_036,plain,
aNaturalNumber0 @ sk__14,
inference(cnf,[status(esa)],[m__2389]) ).
thf(zip_derived_cl5706,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ xk )
!= xm ) ),
inference(demod,[status(thm)],[zip_derived_cl5695,zip_derived_cl137]) ).
thf(zip_derived_cl5919,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ xk @ X0 )
!= xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl5706]) ).
thf(zip_derived_cl117_037,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl5924,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ xk @ X0 )
!= xm ) ),
inference(demod,[status(thm)],[zip_derived_cl5919,zip_derived_cl117]) ).
thf(zip_derived_cl5925,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xk @ X0 )
!= xm )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5924]) ).
thf(zip_derived_cl5934,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xk @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xk )
| ( X0 != xm )
| ~ ( aNaturalNumber0 @ ( sk_ @ X0 @ xk ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl5925]) ).
thf(zip_derived_cl117_038,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl5941,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xk @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 != xm )
| ~ ( aNaturalNumber0 @ ( sk_ @ X0 @ xk ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5934,zip_derived_cl117]) ).
thf(zip_derived_cl6823,plain,
( ~ ( aNaturalNumber0 @ ( sk_ @ xm @ xk ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( sdtlseqdt0 @ xk @ xm ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5941]) ).
thf(zip_derived_cl71_039,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl6824,plain,
( ~ ( aNaturalNumber0 @ ( sk_ @ xm @ xk ) )
| ~ ( sdtlseqdt0 @ xk @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl6823,zip_derived_cl71]) ).
thf(zip_derived_cl6825,plain,
( ( sdtlseqdt0 @ xm @ xk )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ ( sk_ @ xm @ xk ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl6824]) ).
thf(zip_derived_cl71_040,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl117_041,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl6827,plain,
( ( sdtlseqdt0 @ xm @ xk )
| ~ ( aNaturalNumber0 @ ( sk_ @ xm @ xk ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6825,zip_derived_cl71,zip_derived_cl117]) ).
thf(zip_derived_cl6833,plain,
( ~ ( sdtlseqdt0 @ xk @ xm )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xk )
| ( sdtlseqdt0 @ xm @ xk ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl6827]) ).
thf(zip_derived_cl71_042,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl117_043,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl6834,plain,
( ~ ( sdtlseqdt0 @ xk @ xm )
| ( sdtlseqdt0 @ xm @ xk ) ),
inference(demod,[status(thm)],[zip_derived_cl6833,zip_derived_cl71,zip_derived_cl117]) ).
thf(zip_derived_cl6835,plain,
( ( sdtlseqdt0 @ xm @ xk )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xk )
| ( sdtlseqdt0 @ xm @ xk ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl6834]) ).
thf(zip_derived_cl71_044,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl117_045,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl6837,plain,
( ( sdtlseqdt0 @ xm @ xk )
| ( sdtlseqdt0 @ xm @ xk ) ),
inference(demod,[status(thm)],[zip_derived_cl6835,zip_derived_cl71,zip_derived_cl117]) ).
thf(zip_derived_cl6838,plain,
sdtlseqdt0 @ xm @ xk,
inference(simplify,[status(thm)],[zip_derived_cl6837]) ).
thf(zip_derived_cl6841,plain,
( ( sdtasdt0 @ xk @ xp )
= ( sdtasdt0 @ xm @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl5318,zip_derived_cl6838]) ).
thf(zip_derived_cl10_046,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl6877,plain,
( ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ xp )
| ( ( sdtasdt0 @ xm @ xp )
= ( sdtasdt0 @ xp @ xk ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6841,zip_derived_cl10]) ).
thf(zip_derived_cl117_047,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl70_048,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl116_049,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl6906,plain,
( ( sdtasdt0 @ xm @ xp )
= ( sdtasdt0 @ xn @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl6877,zip_derived_cl117,zip_derived_cl70,zip_derived_cl116]) ).
thf(zip_derived_cl10_050,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl116_051,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(mMulCanc,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( W0 != sz00 )
=> ! [W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W0 @ W2 ) )
| ( ( sdtasdt0 @ W1 @ W0 )
= ( sdtasdt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( ( sdtasdt0 @ X0 @ X2 )
!= ( sdtasdt0 @ X0 @ X1 ) )
| ( X2 = X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulCanc]) ).
thf(zip_derived_cl1384,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ X0 ) )
| ( xk = X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl21]) ).
thf(zip_derived_cl117_052,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl70_053,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1411,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ X0 ) )
| ( xk = X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1384,zip_derived_cl117,zip_derived_cl70]) ).
thf(zip_derived_cl95_054,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl1412,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ X0 ) )
| ( xk = X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1411,zip_derived_cl95]) ).
thf(zip_derived_cl1565,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xp )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ X0 @ xp ) )
| ( xk = X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1412]) ).
thf(zip_derived_cl70_055,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1571,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ X0 @ xp ) )
| ( xk = X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl70]) ).
thf(zip_derived_cl1572,plain,
! [X0: $i] :
( ( xk = X0 )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ X0 @ xp ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1571]) ).
thf(zip_derived_cl6999,plain,
( ( xk = xm )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6906,zip_derived_cl1572]) ).
thf(zip_derived_cl71_056,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl7031,plain,
( ( xk = xm )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6999,zip_derived_cl71]) ).
thf(zip_derived_cl7032,plain,
xk = xm,
inference(simplify,[status(thm)],[zip_derived_cl7031]) ).
thf(zip_derived_cl1201_057,plain,
xk != xm,
inference(demod,[status(thm)],[zip_derived_cl1074,zip_derived_cl137]) ).
thf(zip_derived_cl7033,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7032,zip_derived_cl1201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM503+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.e9u3ll1165 true
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Aug 25 10:19:17 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.17/0.34 % Running in FO mode
% 0.17/0.55 % Total configuration time : 435
% 0.17/0.55 % Estimated wc time : 1092
% 0.17/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.68 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.69 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 14.75/2.71 % Solved by fo/fo6_bce.sh.
% 14.75/2.71 % BCE start: 143
% 14.75/2.71 % BCE eliminated: 1
% 14.75/2.71 % PE start: 142
% 14.75/2.71 logic: eq
% 14.75/2.71 % PE eliminated: 8
% 14.75/2.71 % done 1301 iterations in 1.997s
% 14.75/2.71 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.75/2.71 % SZS output start Refutation
% See solution above
% 14.75/2.71
% 14.75/2.71
% 14.75/2.71 % Terminating...
% 15.03/2.80 % Runner terminated.
% 15.03/2.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------