TSTP Solution File: NUM528+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM528+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.UFlfrZUK74 true
% Computer : n006.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 34.49s 5.82s
% Output : Refutation 34.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 47
% Syntax : Number of formulae : 184 ( 65 unt; 21 typ; 0 def)
% Number of atoms : 396 ( 155 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1077 ( 147 ~; 165 |; 43 &; 697 @)
% ( 1 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 11 con; 0-2 aty)
% Number of variables : 91 ( 0 ^; 81 !; 10 ?; 91 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sdtsldt0_type,type,
sdtsldt0: $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sz10_type,type,
sz10: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(isPrime0_type,type,
isPrime0: $i > $o ).
thf(xn_type,type,
xn: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $o ).
thf(sz00_type,type,
sz00: $i ).
thf(xq_type,type,
xq: $i ).
thf(xm_type,type,
xm: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xp_type,type,
xp: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $o ).
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_cl1125,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ X0 )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ X0 ) ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xq ) ),
inference('sup+',[status(thm)],[zip_derived_cl96,zip_derived_cl11]) ).
thf(m__2987,axiom,
( ( xp != sz00 )
& ( xm != sz00 )
& ( xn != sz00 )
& ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl74,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl97,plain,
aNaturalNumber0 @ xq,
inference(cnf,[status(esa)],[m__3059]) ).
thf(zip_derived_cl1143,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ X0 )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ X0 ) ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1125,zip_derived_cl74,zip_derived_cl97]) ).
thf(m__3082,axiom,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ) ).
thf(zip_derived_cl98,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ),
inference(cnf,[status(esa)],[m__3082]) ).
thf(zip_derived_cl11216,plain,
( ( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xq ) )
| ~ ( aNaturalNumber0 @ xq ) ),
inference('sup+',[status(thm)],[zip_derived_cl1143,zip_derived_cl98]) ).
thf(zip_derived_cl97_001,plain,
aNaturalNumber0 @ xq,
inference(cnf,[status(esa)],[m__3059]) ).
thf(zip_derived_cl11294,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xq ) ),
inference(demod,[status(thm)],[zip_derived_cl11216,zip_derived_cl97]) ).
thf(m__3046,axiom,
( ( doDivides0 @ xp @ xn )
& ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ) )
& ? [W0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zip_derived_cl89,plain,
( ( sdtasdt0 @ xn @ xn )
= ( sdtasdt0 @ xp @ sk__7 ) ),
inference(cnf,[status(esa)],[m__3046]) ).
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(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_cl1577,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xm @ xm )
= X0 )
| ( xp = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl21]) ).
thf(zip_derived_cl74_002,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1612,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xm @ xm )
= X0 )
| ( xp = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1577,zip_derived_cl74]) ).
thf(zip_derived_cl71,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1613,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xm @ xm )
= X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1612,zip_derived_cl71]) ).
thf(zip_derived_cl11294_003,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xq ) ),
inference(demod,[status(thm)],[zip_derived_cl11216,zip_derived_cl97]) ).
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_cl98_004,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ),
inference(cnf,[status(esa)],[m__3082]) ).
thf(zip_derived_cl5_005,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl1104,plain,
( ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xq @ xq ) )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl98,zip_derived_cl5]) ).
thf(zip_derived_cl74_006,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1109,plain,
( ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xq @ xq ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1104,zip_derived_cl74]) ).
thf(zip_derived_cl9462,plain,
( ~ ( aNaturalNumber0 @ xq )
| ~ ( aNaturalNumber0 @ xq )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1109]) ).
thf(zip_derived_cl97_007,plain,
aNaturalNumber0 @ xq,
inference(cnf,[status(esa)],[m__3059]) ).
thf(zip_derived_cl97_008,plain,
aNaturalNumber0 @ xq,
inference(cnf,[status(esa)],[m__3059]) ).
thf(zip_derived_cl9465,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ),
inference(demod,[status(thm)],[zip_derived_cl9462,zip_derived_cl97,zip_derived_cl97]) ).
thf(zip_derived_cl11294_009,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xq ) ),
inference(demod,[status(thm)],[zip_derived_cl11216,zip_derived_cl97]) ).
thf(zip_derived_cl11665,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xq ),
inference(demod,[status(thm)],[zip_derived_cl9465,zip_derived_cl11294]) ).
thf(zip_derived_cl11294_010,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xq ) ),
inference(demod,[status(thm)],[zip_derived_cl11216,zip_derived_cl97]) ).
thf(zip_derived_cl33444,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ xq )
= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1613,zip_derived_cl11294,zip_derived_cl11665,zip_derived_cl11294]) ).
thf(zip_derived_cl33465,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xn @ xn ) )
| ( ( sdtasdt0 @ xn @ xq )
= sk__7 )
| ~ ( aNaturalNumber0 @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl33444]) ).
thf(zip_derived_cl90,plain,
aNaturalNumber0 @ sk__7,
inference(cnf,[status(esa)],[m__3046]) ).
thf(zip_derived_cl33487,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xn @ xn ) )
| ( ( sdtasdt0 @ xn @ xq )
= sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl33465,zip_derived_cl90]) ).
thf(zip_derived_cl33488,plain,
( ( sdtasdt0 @ xn @ xq )
= sk__7 ),
inference(simplify,[status(thm)],[zip_derived_cl33487]) ).
thf(zip_derived_cl33489,plain,
( ( sdtasdt0 @ xm @ xm )
= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl11294,zip_derived_cl33488]) ).
thf(zip_derived_cl11294_011,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xq ) ),
inference(demod,[status(thm)],[zip_derived_cl11216,zip_derived_cl97]) ).
thf(zip_derived_cl75,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl76,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
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(zip_derived_cl1096,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ xn )
| ( sdtlseqdt0 @ xn @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl35]) ).
thf(zip_derived_cl2216,plain,
( ( sdtlseqdt0 @ xn @ xm )
| ( sdtlseqdt0 @ xm @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl1096]) ).
thf(m__,conjecture,
( ( xm != xn )
& ( ( sdtlseqdt0 @ xm @ xn )
| ? [W0: $i] :
( ( ( sdtpldt0 @ xm @ W0 )
= xn )
& ( aNaturalNumber0 @ W0 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( xm != xn )
& ( ( sdtlseqdt0 @ xm @ xn )
| ? [W0: $i] :
( ( ( sdtpldt0 @ xm @ W0 )
= xn )
& ( aNaturalNumber0 @ W0 ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl106,plain,
( ( xm = xn )
| ~ ( sdtlseqdt0 @ xm @ xn ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2234,plain,
( ( sdtlseqdt0 @ xn @ xm )
| ( xm = xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl2216,zip_derived_cl106]) ).
thf(m__3152,axiom,
( ( ( sdtlseqdt0 @ xn @ xm )
| ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xn @ W0 )
= xm ) ) )
=> ( ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xn ) @ ( sdtasdt0 @ xm @ xm ) )
& ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xn ) @ W0 )
= ( sdtasdt0 @ xm @ xm ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
( ( ? [W0: $i] :
( ( ( sdtpldt0 @ xn @ W0 )
= xm )
& ( aNaturalNumber0 @ W0 ) )
| ( sdtlseqdt0 @ xn @ xm ) )
=> zip_tseitin_0 ) ).
thf(zip_derived_cl100,plain,
( zip_tseitin_0
| ~ ( sdtlseqdt0 @ xn @ xm ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,type,
zip_tseitin_2: $o ).
thf(zf_stmt_3,axiom,
( zip_tseitin_2
=> ( ? [W0: $i] : ( zip_tseitin_1 @ W0 )
& ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xn ) @ ( sdtasdt0 @ xm @ xm ) ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_1: $i > $o ).
thf(zf_stmt_5,axiom,
! [W0: $i] :
( ( zip_tseitin_1 @ W0 )
=> ( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xn ) @ W0 )
= ( sdtasdt0 @ xm @ xm ) )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_0: $o ).
thf(zf_stmt_7,axiom,
( zip_tseitin_0
=> zip_tseitin_2 ) ).
thf(zip_derived_cl105,plain,
( zip_tseitin_2
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl103,plain,
( ( zip_tseitin_1 @ sk__8 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl826,plain,
( ~ zip_tseitin_0
| ( zip_tseitin_1 @ sk__8 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl105,zip_derived_cl103]) ).
thf(zip_derived_cl101,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xn ) @ X0 )
= ( sdtasdt0 @ xm @ xm ) )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl828,plain,
( ~ zip_tseitin_0
| ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xn ) @ sk__8 )
= ( sdtasdt0 @ xm @ xm ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl826,zip_derived_cl101]) ).
thf(zip_derived_cl834,plain,
( ~ ( sdtlseqdt0 @ xn @ xm )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xn ) @ sk__8 )
= ( sdtasdt0 @ xm @ xm ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl100,zip_derived_cl828]) ).
thf(zip_derived_cl2314,plain,
( ( xm = xn )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xn ) @ sk__8 )
= ( sdtasdt0 @ xm @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2234,zip_derived_cl834]) ).
thf(zip_derived_cl11719,plain,
( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xn ) @ sk__8 )
= ( sdtasdt0 @ xn @ xq ) )
| ( xm = xn ) ),
inference('sup+',[status(thm)],[zip_derived_cl11294,zip_derived_cl2314]) ).
thf(zip_derived_cl33488_012,plain,
( ( sdtasdt0 @ xn @ xq )
= sk__7 ),
inference(simplify,[status(thm)],[zip_derived_cl33487]) ).
thf(zip_derived_cl33493,plain,
( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xn ) @ sk__8 )
= sk__7 )
| ( xm = xn ) ),
inference(demod,[status(thm)],[zip_derived_cl11719,zip_derived_cl33488]) ).
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_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_cl1156,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ X1 @ ( sdtpldt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl27]) ).
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_cl12951,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X1 @ ( sdtpldt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1156,zip_derived_cl4]) ).
thf(zip_derived_cl34800,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xn ) @ sk__7 )
| ( xm = xn )
| ~ ( aNaturalNumber0 @ sk__8 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl33493,zip_derived_cl12951]) ).
thf(zip_derived_cl2234_013,plain,
( ( sdtlseqdt0 @ xn @ xm )
| ( xm = xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl2216,zip_derived_cl106]) ).
thf(zip_derived_cl100_014,plain,
( zip_tseitin_0
| ~ ( sdtlseqdt0 @ xn @ xm ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl826_015,plain,
( ~ zip_tseitin_0
| ( zip_tseitin_1 @ sk__8 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl105,zip_derived_cl103]) ).
thf(zip_derived_cl102,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ X0 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl829,plain,
( ~ zip_tseitin_0
| ( aNaturalNumber0 @ sk__8 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl826,zip_derived_cl102]) ).
thf(zip_derived_cl835,plain,
( ~ ( sdtlseqdt0 @ xn @ xm )
| ( aNaturalNumber0 @ sk__8 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl100,zip_derived_cl829]) ).
thf(zip_derived_cl2315,plain,
( ( xm = xn )
| ( aNaturalNumber0 @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2234,zip_derived_cl835]) ).
thf(m_AddZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
thf(zip_derived_cl99,plain,
! [X0: $i] :
( zip_tseitin_0
| ( ( sdtpldt0 @ xn @ X0 )
!= xm )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl829_016,plain,
( ~ zip_tseitin_0
| ( aNaturalNumber0 @ sk__8 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl826,zip_derived_cl102]) ).
thf(zip_derived_cl832,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ xn @ X0 )
!= xm )
| ( aNaturalNumber0 @ sk__8 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl99,zip_derived_cl829]) ).
thf(zip_derived_cl882,plain,
( ( xn != xm )
| ~ ( aNaturalNumber0 @ xn )
| ( aNaturalNumber0 @ sk__8 )
| ~ ( aNaturalNumber0 @ sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl832]) ).
thf(zip_derived_cl76_017,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl886,plain,
( ( xn != xm )
| ( aNaturalNumber0 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl882,zip_derived_cl76,zip_derived_cl1]) ).
thf(zip_derived_cl2321,plain,
aNaturalNumber0 @ sk__8,
inference(clc,[status(thm)],[zip_derived_cl2315,zip_derived_cl886]) ).
thf(zip_derived_cl89_018,plain,
( ( sdtasdt0 @ xn @ xn )
= ( sdtasdt0 @ xp @ sk__7 ) ),
inference(cnf,[status(esa)],[m__3046]) ).
thf(zip_derived_cl5_019,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl898,plain,
( ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ sk__7 )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl5]) ).
thf(zip_derived_cl90_020,plain,
aNaturalNumber0 @ sk__7,
inference(cnf,[status(esa)],[m__3046]) ).
thf(zip_derived_cl74_021,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl899,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ),
inference(demod,[status(thm)],[zip_derived_cl898,zip_derived_cl90,zip_derived_cl74]) ).
thf(zip_derived_cl34875,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xn ) @ sk__7 )
| ( xm = xn ) ),
inference(demod,[status(thm)],[zip_derived_cl34800,zip_derived_cl2321,zip_derived_cl899]) ).
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_cl45232,plain,
( ( xm = xn )
| ~ ( sdtlseqdt0 @ sk__7 @ ( sdtasdt0 @ xn @ xn ) )
| ( sk__7
= ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34875,zip_derived_cl32]) ).
thf(zip_derived_cl899_022,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ),
inference(demod,[status(thm)],[zip_derived_cl898,zip_derived_cl90,zip_derived_cl74]) ).
thf(zip_derived_cl90_023,plain,
aNaturalNumber0 @ sk__7,
inference(cnf,[status(esa)],[m__3046]) ).
thf(zip_derived_cl45249,plain,
( ( xm = xn )
| ~ ( sdtlseqdt0 @ sk__7 @ ( sdtasdt0 @ xn @ xn ) )
| ( sk__7
= ( sdtasdt0 @ xn @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45232,zip_derived_cl899,zip_derived_cl90]) ).
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(zip_derived_cl84_024,plain,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(cnf,[status(esa)],[m__3014]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( ( sdtasdt0 @ X2 @ X0 )
!= ( sdtasdt0 @ X1 @ X0 ) )
| ( X2 = X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulCanc]) ).
thf(zip_derived_cl1482,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xm @ xm ) ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ( xp = X0 )
| ( ( sdtasdt0 @ xm @ xm )
= sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl20]) ).
thf(zip_derived_cl74_025,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1517,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xm @ xm ) ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xp = X0 )
| ( ( sdtasdt0 @ xm @ xm )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1482,zip_derived_cl74]) ).
thf(zip_derived_cl11294_026,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xq ) ),
inference(demod,[status(thm)],[zip_derived_cl11216,zip_derived_cl97]) ).
thf(zip_derived_cl11294_027,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xq ) ),
inference(demod,[status(thm)],[zip_derived_cl11216,zip_derived_cl97]) ).
thf(zip_derived_cl11665_028,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xq ),
inference(demod,[status(thm)],[zip_derived_cl9465,zip_derived_cl11294]) ).
thf(zip_derived_cl11294_029,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xq ) ),
inference(demod,[status(thm)],[zip_derived_cl11216,zip_derived_cl97]) ).
thf(zip_derived_cl30415,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xn @ xq ) ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xp = X0 )
| ( ( sdtasdt0 @ xn @ xq )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1517,zip_derived_cl11294,zip_derived_cl11294,zip_derived_cl11665,zip_derived_cl11294]) ).
thf(zip_derived_cl11294_030,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xq ) ),
inference(demod,[status(thm)],[zip_derived_cl11216,zip_derived_cl97]) ).
thf(mZeroMul,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
= sz00 )
=> ( ( W0 = sz00 )
| ( W1 = sz00 ) ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 )
| ( ( sdtasdt0 @ X0 @ X1 )
!= sz00 ) ),
inference(cnf,[status(esa)],[mZeroMul]) ).
thf(zip_derived_cl11670,plain,
( ( ( sdtasdt0 @ xn @ xq )
!= sz00 )
| ( xm = sz00 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xm )
| ( xm = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11294,zip_derived_cl24]) ).
thf(zip_derived_cl75_031,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl75_032,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl11724,plain,
( ( ( sdtasdt0 @ xn @ xq )
!= sz00 )
| ( xm = sz00 )
| ( xm = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl11670,zip_derived_cl75,zip_derived_cl75]) ).
thf(zip_derived_cl11725,plain,
( ( xm = sz00 )
| ( ( sdtasdt0 @ xn @ xq )
!= sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11724]) ).
thf(zip_derived_cl72,plain,
xm != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl11726,plain,
( ( sdtasdt0 @ xn @ xq )
!= sz00 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11725,zip_derived_cl72]) ).
thf(zip_derived_cl30416,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xn @ xq ) ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xp = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl30415,zip_derived_cl11726]) ).
thf(zip_derived_cl30423,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xn @ xq ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xq ) )
| ( xp = sz10 )
| ~ ( aNaturalNumber0 @ sz10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl30416]) ).
thf(zip_derived_cl11665_033,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xq ),
inference(demod,[status(thm)],[zip_derived_cl9465,zip_derived_cl11294]) ).
thf(mSortsC_01,axiom,
( ( sz10 != sz00 )
& ( aNaturalNumber0 @ sz10 ) ) ).
thf(zip_derived_cl3,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl30449,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xn @ xq ) )
| ( xp = sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl30423,zip_derived_cl11665,zip_derived_cl3]) ).
thf(m__3025,axiom,
( ( isPrime0 @ xp )
& ! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( ? [W1: $i] :
( ( xp
= ( sdtasdt0 @ W0 @ W1 ) )
& ( aNaturalNumber0 @ W1 ) )
| ( doDivides0 @ W0 @ xp ) ) )
=> ( ( W0 = sz10 )
| ( W0 = xp ) ) )
& ( xp != sz10 ) ) ).
thf(zip_derived_cl85,plain,
xp != sz10,
inference(cnf,[status(esa)],[m__3025]) ).
thf(zip_derived_cl30450,plain,
( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xn @ xq ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl30449,zip_derived_cl85]) ).
thf(zip_derived_cl33488_034,plain,
( ( sdtasdt0 @ xn @ xq )
= sk__7 ),
inference(simplify,[status(thm)],[zip_derived_cl33487]) ).
thf(zip_derived_cl33509,plain,
( ( sdtasdt0 @ xn @ xn )
!= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl30450,zip_derived_cl33488]) ).
thf(zip_derived_cl45250,plain,
( ( xm = xn )
| ~ ( sdtlseqdt0 @ sk__7 @ ( sdtasdt0 @ xn @ xn ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl45249,zip_derived_cl33509]) ).
thf(zip_derived_cl89_035,plain,
( ( sdtasdt0 @ xn @ xn )
= ( sdtasdt0 @ xp @ sk__7 ) ),
inference(cnf,[status(esa)],[m__3046]) ).
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(mMonMul2,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( W0 != sz00 )
=> ( sdtlseqdt0 @ W1 @ ( sdtasdt0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMonMul2]) ).
thf(zip_derived_cl1840,plain,
! [X0: $i,X1: $i] :
( ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl46]) ).
thf(zip_derived_cl1856,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1840]) ).
thf(zip_derived_cl40051,plain,
( ( sdtlseqdt0 @ sk__7 @ ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ sk__7 )
| ( xp = sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl1856]) ).
thf(zip_derived_cl74_036,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl90_037,plain,
aNaturalNumber0 @ sk__7,
inference(cnf,[status(esa)],[m__3046]) ).
thf(zip_derived_cl40125,plain,
( ( sdtlseqdt0 @ sk__7 @ ( sdtasdt0 @ xn @ xn ) )
| ( xp = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl40051,zip_derived_cl74,zip_derived_cl90]) ).
thf(zip_derived_cl71_038,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl40126,plain,
sdtlseqdt0 @ sk__7 @ ( sdtasdt0 @ xn @ xn ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl40125,zip_derived_cl71]) ).
thf(zip_derived_cl50225,plain,
xm = xn,
inference(demod,[status(thm)],[zip_derived_cl45250,zip_derived_cl40126]) ).
thf(zip_derived_cl50225_039,plain,
xm = xn,
inference(demod,[status(thm)],[zip_derived_cl45250,zip_derived_cl40126]) ).
thf(zip_derived_cl50355,plain,
( ( sdtasdt0 @ xn @ xn )
= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl33489,zip_derived_cl50225,zip_derived_cl50225]) ).
thf(zip_derived_cl33509_040,plain,
( ( sdtasdt0 @ xn @ xn )
!= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl30450,zip_derived_cl33488]) ).
thf(zip_derived_cl50356,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl50355,zip_derived_cl33509]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM528+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UFlfrZUK74 true
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 15:56:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.20/0.68 % Total configuration time : 435
% 0.20/0.68 % Estimated wc time : 1092
% 0.20/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 34.49/5.82 % Solved by fo/fo3_bce.sh.
% 34.49/5.82 % BCE start: 108
% 34.49/5.82 % BCE eliminated: 1
% 34.49/5.82 % PE start: 107
% 34.49/5.82 logic: eq
% 34.49/5.82 % PE eliminated: -9
% 34.49/5.82 % done 4099 iterations in 5.056s
% 34.49/5.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 34.49/5.82 % SZS output start Refutation
% See solution above
% 34.49/5.82
% 34.49/5.82
% 34.49/5.82 % Terminating...
% 34.49/5.82 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 35.45/5.90 % Runner terminated.
% 35.45/5.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------