TSTP Solution File: NUM516+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM516+1 : 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.VT7MVxoPFQ true
% Computer : n027.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 12:42:02 EDT 2023
% Result : Theorem 32.94s 5.42s
% Output : Refutation 32.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 33
% Syntax : Number of formulae : 167 ( 54 unt; 15 typ; 0 def)
% Number of atoms : 451 ( 161 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1537 ( 225 ~; 249 |; 31 &;1013 @)
% ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 137 ( 0 ^; 136 !; 1 ?; 137 :)
% 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(sz00_type,type,
sz00: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xk_type,type,
xk: $i ).
thf(xn_type,type,
xn: $i ).
thf(xr_type,type,
xr: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(m__2342,axiom,
( ( isPrime0 @ xr )
& ( doDivides0 @ xr @ xk )
& ( aNaturalNumber0 @ xr ) ) ).
thf(zip_derived_cl87,plain,
isPrime0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
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(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_cl170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ X2 @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl6]) ).
thf(zip_derived_cl191,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ X2 @ X1 ) ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl170]) ).
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_cl2173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ X2 @ X1 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl191,zip_derived_cl4]) ).
thf(zip_derived_cl7_001,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_cl4_002,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(m__2487,axiom,
doDivides0 @ xr @ xn ).
thf(zip_derived_cl95,plain,
doDivides0 @ xr @ xn,
inference(cnf,[status(esa)],[m__2487]) ).
thf(mDefDiv,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( doDivides0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( W1
= ( sdtasdt0 @ W0 @ W2 ) )
& ( aNaturalNumber0 @ W2 ) ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1
= ( sdtasdt0 @ X0 @ ( sk__1 @ X1 @ X0 ) ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl805,plain,
( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xn )
| ( xn
= ( sdtasdt0 @ xr @ ( sk__1 @ xn @ xr ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl49]) ).
thf(zip_derived_cl89,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(m__1837,axiom,
( ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl811,plain,
( xn
= ( sdtasdt0 @ xr @ ( sk__1 @ xn @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl805,zip_derived_cl89,zip_derived_cl72]) ).
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_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X1
!= ( sdtasdt0 @ X0 @ X2 ) )
| ( X2
= ( sdtsldt0 @ X1 @ X0 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X1
!= ( sdtasdt0 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( sdtsldt0 @ X1 @ X0 ) )
| ( X1
!= ( sdtasdt0 @ X0 @ X2 ) )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl51]) ).
thf(zip_derived_cl981,plain,
! [X0: $i] :
( ( ( sk__1 @ xn @ xr )
= ( sdtsldt0 @ X0 @ xr ) )
| ( X0 != xn )
| ~ ( aNaturalNumber0 @ ( sk__1 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xr )
| ( xr = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl811,zip_derived_cl106]) ).
thf(zip_derived_cl95_003,plain,
doDivides0 @ xr @ xn,
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sk__1 @ X1 @ X0 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl302,plain,
( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xn )
| ( aNaturalNumber0 @ ( sk__1 @ xn @ xr ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl50]) ).
thf(zip_derived_cl89_004,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl72_005,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl307,plain,
aNaturalNumber0 @ ( sk__1 @ xn @ xr ),
inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl89,zip_derived_cl72]) ).
thf(zip_derived_cl89_006,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl995,plain,
! [X0: $i] :
( ( ( sk__1 @ xn @ xr )
= ( sdtsldt0 @ X0 @ xr ) )
| ( X0 != xn )
| ~ ( aNaturalNumber0 @ X0 )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl981,zip_derived_cl307,zip_derived_cl89]) ).
thf(zip_derived_cl811_007,plain,
( xn
= ( sdtasdt0 @ xr @ ( sk__1 @ xn @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl805,zip_derived_cl89,zip_derived_cl72]) ).
thf(m_MulUnit,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( X0
= ( sdtasdt0 @ sz10 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulUnit]) ).
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_cl354,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sz10 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ sz10 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl11]) ).
thf(mSortsC_01,axiom,
( ( sz10 != sz00 )
& ( aNaturalNumber0 @ sz10 ) ) ).
thf(zip_derived_cl3,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl366,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ sz10 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl354,zip_derived_cl3]) ).
thf(zip_derived_cl367,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ sz10 @ ( sdtasdt0 @ X0 @ X1 ) ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl366]) ).
thf(zip_derived_cl4965,plain,
( ( xn
= ( sdtasdt0 @ sz10 @ xn ) )
| ~ ( aNaturalNumber0 @ ( sk__1 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ xr ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl811,zip_derived_cl367]) ).
thf(zip_derived_cl307_008,plain,
aNaturalNumber0 @ ( sk__1 @ xn @ xr ),
inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl89,zip_derived_cl72]) ).
thf(zip_derived_cl89_009,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl4984,plain,
( xn
= ( sdtasdt0 @ sz10 @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl4965,zip_derived_cl307,zip_derived_cl89]) ).
thf(zip_derived_cl106_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( sdtsldt0 @ X1 @ X0 ) )
| ( X1
!= ( sdtasdt0 @ X0 @ X2 ) )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl51]) ).
thf(zip_derived_cl5038,plain,
! [X0: $i] :
( ( xn
= ( sdtsldt0 @ X0 @ sz10 ) )
| ( X0 != xn )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sz10 )
| ( sz10 = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4984,zip_derived_cl106]) ).
thf(zip_derived_cl72_011,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3_012,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl5070,plain,
! [X0: $i] :
( ( xn
= ( sdtsldt0 @ X0 @ sz10 ) )
| ( X0 != xn )
| ~ ( aNaturalNumber0 @ X0 )
| ( sz10 = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl5038,zip_derived_cl72,zip_derived_cl3]) ).
thf(zip_derived_cl2,plain,
sz10 != sz00,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl5071,plain,
! [X0: $i] :
( ( xn
= ( sdtsldt0 @ X0 @ sz10 ) )
| ( X0 != xn )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5070,zip_derived_cl2]) ).
thf(zip_derived_cl5392,plain,
( ~ ( aNaturalNumber0 @ xn )
| ( xn
= ( sdtsldt0 @ xn @ sz10 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5071]) ).
thf(zip_derived_cl72_013,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl5393,plain,
( xn
= ( sdtsldt0 @ xn @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl5392,zip_derived_cl72]) ).
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_cl5394,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ~ ( aNaturalNumber0 @ sz10 )
| ~ ( aNaturalNumber0 @ xn )
| ( X0 != xn )
| ( aNaturalNumber0 @ X0 )
| ~ ( doDivides0 @ sz10 @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5393,zip_derived_cl52]) ).
thf(zip_derived_cl3_014,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl72_015,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl4984_016,plain,
( xn
= ( sdtasdt0 @ sz10 @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl4965,zip_derived_cl307,zip_derived_cl89]) ).
thf(zip_derived_cl51_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X1
!= ( sdtasdt0 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl331,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl51]) ).
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_cl3959,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl331,zip_derived_cl5]) ).
thf(zip_derived_cl5033,plain,
( ~ ( aNaturalNumber0 @ sz10 )
| ( doDivides0 @ sz10 @ xn )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4984,zip_derived_cl3959]) ).
thf(zip_derived_cl3_018,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl72_019,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl5062,plain,
doDivides0 @ sz10 @ xn,
inference(demod,[status(thm)],[zip_derived_cl5033,zip_derived_cl3,zip_derived_cl72]) ).
thf(zip_derived_cl5397,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( X0 != xn )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5394,zip_derived_cl3,zip_derived_cl72,zip_derived_cl5062]) ).
thf(zip_derived_cl2_020,plain,
sz10 != sz00,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl5398,plain,
! [X0: $i] :
( ( X0 != xn )
| ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5397,zip_derived_cl2]) ).
thf(zip_derived_cl6963,plain,
! [X0: $i] :
( ( xr = sz00 )
| ( X0 != xn )
| ( ( sk__1 @ xn @ xr )
= ( sdtsldt0 @ X0 @ xr ) ) ),
inference(clc,[status(thm)],[zip_derived_cl995,zip_derived_cl5398]) ).
thf(zip_derived_cl6964,plain,
( ( ( sk__1 @ xn @ xr )
= ( sdtsldt0 @ xn @ xr ) )
| ( xr = sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6963]) ).
thf(zip_derived_cl307_021,plain,
aNaturalNumber0 @ ( sk__1 @ xn @ xr ),
inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl89,zip_derived_cl72]) ).
thf(zip_derived_cl6967,plain,
( ( xr = sz00 )
| ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6964,zip_derived_cl307]) ).
thf(zip_derived_cl7_022,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_cl7_023,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(m__,conjecture,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp )
!= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
& ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp )
!= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
& ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl99,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl174,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl99]) ).
thf(zip_derived_cl70,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_024,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl195,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl70,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl244,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) ) @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl195]) ).
thf(zip_derived_cl70_025,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_026,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl249,plain,
( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) ) @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl7050,plain,
( ( xr = sz00 )
| ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) ) @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6967,zip_derived_cl249]) ).
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_cl7904,plain,
( ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ( xr = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtsldt0 @ xn @ xr ) @ xn )
| ( ( sdtsldt0 @ xn @ xr )
= xn ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7050,zip_derived_cl39]) ).
thf(zip_derived_cl72_027,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(m__2504,axiom,
( ( sdtlseqdt0 @ ( sdtsldt0 @ xn @ xr ) @ xn )
& ( ( sdtsldt0 @ xn @ xr )
!= xn ) ) ).
thf(zip_derived_cl96,plain,
sdtlseqdt0 @ ( sdtsldt0 @ xn @ xr ) @ xn,
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl7913,plain,
( ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ( xr = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xp ) )
| ( ( sdtsldt0 @ xn @ xr )
= xn ) ),
inference(demod,[status(thm)],[zip_derived_cl7904,zip_derived_cl72,zip_derived_cl96]) ).
thf(zip_derived_cl97,plain,
( ( sdtsldt0 @ xn @ xr )
!= xn ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl7914,plain,
( ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ( xr = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xp ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7913,zip_derived_cl97]) ).
thf(zip_derived_cl6967_028,plain,
( ( xr = sz00 )
| ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6964,zip_derived_cl307]) ).
thf(zip_derived_cl16263,plain,
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xp ) )
| ( xr = sz00 )
| ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl7914,zip_derived_cl6967]) ).
thf(zip_derived_cl16264,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ( xr = sz00 )
| ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl16263]) ).
thf(zip_derived_cl70_029,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_030,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl16266,plain,
( ( xr = sz00 )
| ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16264,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl2173_031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ X2 @ X1 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl191,zip_derived_cl4]) ).
thf(zip_derived_cl16326,plain,
( ( xr = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp )
| ( ( sdtpldt0 @ xm @ ( sdtpldt0 @ xp @ ( sdtsldt0 @ xn @ xr ) ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16266,zip_derived_cl2173]) ).
thf(zip_derived_cl71_032,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_033,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl16356,plain,
( ( xr = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ( ( sdtpldt0 @ xm @ ( sdtpldt0 @ xp @ ( sdtsldt0 @ xn @ xr ) ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16326,zip_derived_cl71,zip_derived_cl70]) ).
thf(zip_derived_cl6967_034,plain,
( ( xr = sz00 )
| ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6964,zip_derived_cl307]) ).
thf(zip_derived_cl17354,plain,
( ( ( sdtpldt0 @ xm @ ( sdtpldt0 @ xp @ ( sdtsldt0 @ xn @ xr ) ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ( xr = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl16356,zip_derived_cl6967]) ).
thf(zip_derived_cl7_035,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(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_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X0 = X2 )
| ( ( sdtpldt0 @ X1 @ X0 )
!= ( sdtpldt0 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[mAddCanc]) ).
thf(zip_derived_cl404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aNaturalNumber0 @ X3 )
| ( X0 = X3 )
| ( ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
!= ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl19]) ).
thf(zip_derived_cl418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
!= ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X3 ) )
| ( X0 = X3 )
| ~ ( aNaturalNumber0 @ X3 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl404]) ).
thf(zip_derived_cl4_036,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl6843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X3 )
| ( X0 = X3 )
| ( ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
!= ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X3 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl418,zip_derived_cl4]) ).
thf(zip_derived_cl17408,plain,
! [X0: $i] :
( ( xr = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ ( sdtpldt0 @ xm @ xp ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17354,zip_derived_cl6843]) ).
thf(zip_derived_cl71_037,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_038,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl17503,plain,
! [X0: $i] :
( ( xr = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ ( sdtpldt0 @ xm @ xp ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17408,zip_derived_cl71,zip_derived_cl70]) ).
thf(zip_derived_cl6967_039,plain,
( ( xr = sz00 )
| ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6964,zip_derived_cl307]) ).
thf(zip_derived_cl28254,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ ( sdtpldt0 @ xm @ xp ) @ X0 ) )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( xr = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl17503,zip_derived_cl6967]) ).
thf(zip_derived_cl28262,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ xm @ ( sdtpldt0 @ xp @ X0 ) ) )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( xr = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl28254]) ).
thf(zip_derived_cl71_040,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_041,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl28267,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ xm @ ( sdtpldt0 @ xp @ X0 ) ) )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl28262,zip_derived_cl71,zip_derived_cl70]) ).
thf(zip_derived_cl28268,plain,
! [X0: $i] :
( ( xr = sz00 )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ xm @ ( sdtpldt0 @ xp @ X0 ) ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28267]) ).
thf(zip_derived_cl28324,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 )
| ( xr = sz00 )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2173,zip_derived_cl28268]) ).
thf(zip_derived_cl70_042,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_043,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl28333,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( xr = sz00 )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28324,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl28334,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ xm @ xp ) ) )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ( xr = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28333]) ).
thf(zip_derived_cl28609,plain,
( ~ ( aNaturalNumber0 @ xn )
| ( xr = sz00 )
| ( ( sdtsldt0 @ xn @ xr )
= xn ) ),
inference(eq_res,[status(thm)],[zip_derived_cl28334]) ).
thf(zip_derived_cl72_044,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl28610,plain,
( ( xr = sz00 )
| ( ( sdtsldt0 @ xn @ xr )
= xn ) ),
inference(demod,[status(thm)],[zip_derived_cl28609,zip_derived_cl72]) ).
thf(zip_derived_cl97_045,plain,
( ( sdtsldt0 @ xn @ xr )
!= xn ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl28611,plain,
xr = sz00,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28610,zip_derived_cl97]) ).
thf(mDefPrime,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( isPrime0 @ W0 )
<=> ( ( W0 != sz00 )
& ( W0 != sz10 )
& ! [W1: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( doDivides0 @ W1 @ W0 ) )
=> ( ( W1 = sz10 )
| ( W1 = W0 ) ) ) ) ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ~ ( isPrime0 @ X0 )
| ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(zip_derived_cl109,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ~ ( isPrime0 @ sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl66]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl110,plain,
~ ( isPrime0 @ sz00 ),
inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl1]) ).
thf(zip_derived_cl28619,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl28611,zip_derived_cl110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM516+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VT7MVxoPFQ true
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 16:34:49 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.96/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 32.94/5.42 % Solved by fo/fo13.sh.
% 32.94/5.42 % done 2365 iterations in 4.628s
% 32.94/5.42 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 32.94/5.42 % SZS output start Refutation
% See solution above
% 32.94/5.42
% 32.94/5.42
% 32.94/5.43 % Terminating...
% 33.76/5.53 % Runner terminated.
% 33.76/5.54 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------