TSTP Solution File: NUM421+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM421+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.nQ0YxD9mB7 true
% Computer : n005.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 12:41:20 EDT 2023
% Result : Theorem 26.50s 4.43s
% Output : Refutation 26.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 22
% Syntax : Number of formulae : 253 ( 93 unt; 7 typ; 0 def)
% Number of atoms : 547 ( 160 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1771 ( 279 ~; 274 |; 16 &;1191 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 198 ( 0 ^; 198 !; 0 ?; 198 :)
% Comments :
%------------------------------------------------------------------------------
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aInteger0_type,type,
aInteger0: $i > $o ).
thf(sz10_type,type,
sz10: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xa_type,type,
xa: $i ).
thf(mAddComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(m__419,axiom,
aInteger0 @ xa ).
thf(zip_derived_cl18,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl79,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xa @ X0 )
= ( sdtpldt0 @ X0 @ xa ) )
| ~ ( aInteger0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl18]) ).
thf(mAddZero,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl423,plain,
( ( ( sdtpldt0 @ sz00 @ xa )
= xa )
| ~ ( aInteger0 @ sz00 )
| ~ ( aInteger0 @ xa ) ),
inference('sup+',[status(thm)],[zip_derived_cl79,zip_derived_cl8]) ).
thf(mIntZero,axiom,
aInteger0 @ sz00 ).
thf(zip_derived_cl1,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl18_001,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl436,plain,
( ( sdtpldt0 @ sz00 @ xa )
= xa ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl1,zip_derived_cl18]) ).
thf(mMulOne,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( X0
= ( sdtasdt0 @ sz10 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulOne]) ).
thf(mDistrib,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mDistrib]) ).
thf(zip_derived_cl182,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ sz10 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ sz10 @ X1 ) @ X0 ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl16]) ).
thf(mIntOne,axiom,
aInteger0 @ sz10 ).
thf(zip_derived_cl2,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl193,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ sz10 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ sz10 @ X1 ) @ X0 ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl182,zip_derived_cl2]) ).
thf(zip_derived_cl194,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ sz10 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ sz10 @ X1 ) @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl6065,plain,
( ( ( sdtasdt0 @ sz10 @ xa )
= ( sdtpldt0 @ ( sdtasdt0 @ sz10 @ sz00 ) @ xa ) )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl436,zip_derived_cl194]) ).
thf(zip_derived_cl18_002,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl1_003,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl6134,plain,
( ( sdtasdt0 @ sz10 @ xa )
= ( sdtpldt0 @ ( sdtasdt0 @ sz10 @ sz00 ) @ xa ) ),
inference(demod,[status(thm)],[zip_derived_cl6065,zip_derived_cl18,zip_derived_cl1]) ).
thf(mIntNeg,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( aInteger0 @ ( smndt0 @ W0 ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl3_004,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl7_005,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl2_006,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl75,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz10 @ X0 )
= ( sdtpldt0 @ X0 @ sz10 ) )
| ~ ( aInteger0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).
thf(mAddNeg,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
= sz00 )
& ( sz00
= ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( sz00
= ( sdtpldt0 @ ( smndt0 @ X0 ) @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddNeg]) ).
thf(zip_derived_cl285,plain,
( ( sz00
= ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ sz10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl75,zip_derived_cl11]) ).
thf(zip_derived_cl2_007,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl294,plain,
( ( sz00
= ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl2]) ).
thf(zip_derived_cl409,plain,
( ~ ( aInteger0 @ sz10 )
| ( sz00
= ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl294]) ).
thf(zip_derived_cl2_008,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl410,plain,
( sz00
= ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl409,zip_derived_cl2]) ).
thf(zip_derived_cl194_009,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ sz10 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ sz10 @ X1 ) @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl6068,plain,
( ( ( sdtasdt0 @ sz10 @ sz00 )
= ( sdtpldt0 @ ( sdtasdt0 @ sz10 @ sz10 ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ sz10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl410,zip_derived_cl194]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz10 )
= X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulOne]) ).
thf(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(mMulAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 ) )
=> ( ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[mMulAsso]) ).
thf(zip_derived_cl126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) )
= ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) ) )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl12]) ).
thf(zip_derived_cl134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aInteger0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) )
= ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl126]) ).
thf(mIntMult,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( aInteger0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntMult]) ).
thf(zip_derived_cl1378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) )
= ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) ) )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl134,zip_derived_cl5]) ).
thf(zip_derived_cl15_010,plain,
! [X0: $i] :
( ( X0
= ( sdtasdt0 @ sz10 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulOne]) ).
thf(zip_derived_cl1411,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ sz10 @ X0 ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1378,zip_derived_cl15]) ).
thf(zip_derived_cl2_011,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl1480,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ sz10 @ X0 ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1411,zip_derived_cl2]) ).
thf(zip_derived_cl5_012,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntMult]) ).
thf(zip_derived_cl1483,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ sz10 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1480,zip_derived_cl5]) ).
thf(zip_derived_cl1505,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ sz10 @ X0 )
= ( sdtasdt0 @ X0 @ sz10 ) )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl1483]) ).
thf(zip_derived_cl2_013,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl2_014,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl1514,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ sz10 @ X0 )
= ( sdtasdt0 @ X0 @ sz10 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1505,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl15_015,plain,
! [X0: $i] :
( ( X0
= ( sdtasdt0 @ sz10 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulOne]) ).
thf(zip_derived_cl1552,plain,
( ( sz10
= ( sdtasdt0 @ sz10 @ sz10 ) )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ sz10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1514,zip_derived_cl15]) ).
thf(zip_derived_cl2_016,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl2_017,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl1592,plain,
( sz10
= ( sdtasdt0 @ sz10 @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1552,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl410_018,plain,
( sz00
= ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl409,zip_derived_cl2]) ).
thf(zip_derived_cl2_019,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl6138,plain,
( ( ( sdtasdt0 @ sz10 @ sz00 )
= sz00 )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6068,zip_derived_cl1592,zip_derived_cl410,zip_derived_cl2]) ).
thf(zip_derived_cl6194,plain,
( ~ ( aInteger0 @ sz10 )
| ( ( sdtasdt0 @ sz10 @ sz00 )
= sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl6138]) ).
thf(zip_derived_cl2_020,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl6195,plain,
( ( sdtasdt0 @ sz10 @ sz00 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl6194,zip_derived_cl2]) ).
thf(zip_derived_cl436_021,plain,
( ( sdtpldt0 @ sz00 @ xa )
= xa ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl1,zip_derived_cl18]) ).
thf(zip_derived_cl6948,plain,
( ( sdtasdt0 @ sz10 @ xa )
= xa ),
inference(demod,[status(thm)],[zip_derived_cl6134,zip_derived_cl6195,zip_derived_cl436]) ).
thf(zip_derived_cl1483_022,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ sz10 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1480,zip_derived_cl5]) ).
thf(zip_derived_cl6978,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xa @ X0 )
= ( sdtasdt0 @ X0 @ xa ) )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6948,zip_derived_cl1483]) ).
thf(zip_derived_cl18_023,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl7009,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xa @ X0 )
= ( sdtasdt0 @ X0 @ xa ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6978,zip_derived_cl18]) ).
thf(zip_derived_cl6195_024,plain,
( ( sdtasdt0 @ sz10 @ sz00 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl6194,zip_derived_cl2]) ).
thf(zip_derived_cl1378_025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) )
= ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) ) )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl134,zip_derived_cl5]) ).
thf(zip_derived_cl6213,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz00 )
= ( sdtasdt0 @ sz00 @ ( sdtasdt0 @ X0 @ sz10 ) ) )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6195,zip_derived_cl1378]) ).
thf(zip_derived_cl2_026,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl1_027,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl6245,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz00 )
= ( sdtasdt0 @ sz00 @ ( sdtasdt0 @ X0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6213,zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl35497,plain,
( ( ( sdtasdt0 @ xa @ sz00 )
= ( sdtasdt0 @ sz00 @ ( sdtasdt0 @ sz10 @ xa ) ) )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ xa ) ),
inference('sup+',[status(thm)],[zip_derived_cl7009,zip_derived_cl6245]) ).
thf(zip_derived_cl6948_028,plain,
( ( sdtasdt0 @ sz10 @ xa )
= xa ),
inference(demod,[status(thm)],[zip_derived_cl6134,zip_derived_cl6195,zip_derived_cl436]) ).
thf(zip_derived_cl2_029,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl18_030,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl35523,plain,
( ( sdtasdt0 @ xa @ sz00 )
= ( sdtasdt0 @ sz00 @ xa ) ),
inference(demod,[status(thm)],[zip_derived_cl35497,zip_derived_cl6948,zip_derived_cl2,zip_derived_cl18]) ).
thf(zip_derived_cl14_031,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz10 )
= X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulOne]) ).
thf(zip_derived_cl16_032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mDistrib]) ).
thf(zip_derived_cl186,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X0 @ ( sdtpldt0 @ sz10 @ X1 ) )
= ( sdtpldt0 @ X0 @ ( sdtasdt0 @ X0 @ X1 ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ sz10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl16]) ).
thf(zip_derived_cl2_033,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl198,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X0 @ ( sdtpldt0 @ sz10 @ X1 ) )
= ( sdtpldt0 @ X0 @ ( sdtasdt0 @ X0 @ X1 ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl2]) ).
thf(zip_derived_cl199,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ X0 @ ( sdtpldt0 @ sz10 @ X1 ) )
= ( sdtpldt0 @ X0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl198]) ).
thf(zip_derived_cl35611,plain,
( ( ( sdtasdt0 @ xa @ ( sdtpldt0 @ sz10 @ sz00 ) )
= ( sdtpldt0 @ xa @ ( sdtasdt0 @ sz00 @ xa ) ) )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl35523,zip_derived_cl199]) ).
thf(zip_derived_cl8_034,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl75_035,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz10 @ X0 )
= ( sdtpldt0 @ X0 @ sz10 ) )
| ~ ( aInteger0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).
thf(zip_derived_cl8_036,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl289,plain,
( ( ( sdtpldt0 @ sz00 @ sz10 )
= sz10 )
| ~ ( aInteger0 @ sz00 )
| ~ ( aInteger0 @ sz10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl75,zip_derived_cl8]) ).
thf(zip_derived_cl1_037,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl2_038,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl300,plain,
( ( sdtpldt0 @ sz00 @ sz10 )
= sz10 ),
inference(demod,[status(thm)],[zip_derived_cl289,zip_derived_cl1,zip_derived_cl2]) ).
thf(mAddAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 ) )
=> ( ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl302,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz00 @ ( sdtpldt0 @ sz10 @ X0 ) )
= ( sdtpldt0 @ sz10 @ X0 ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ sz00 )
| ~ ( aInteger0 @ sz10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl300,zip_derived_cl6]) ).
thf(zip_derived_cl1_039,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl2_040,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl305,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz00 @ ( sdtpldt0 @ sz10 @ X0 ) )
= ( sdtpldt0 @ sz10 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl765,plain,
( ( ( sdtpldt0 @ sz00 @ sz10 )
= ( sdtpldt0 @ sz10 @ sz00 ) )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl305]) ).
thf(zip_derived_cl300_041,plain,
( ( sdtpldt0 @ sz00 @ sz10 )
= sz10 ),
inference(demod,[status(thm)],[zip_derived_cl289,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl2_042,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl1_043,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl776,plain,
( sz10
= ( sdtpldt0 @ sz10 @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl765,zip_derived_cl300,zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl6948_044,plain,
( ( sdtasdt0 @ sz10 @ xa )
= xa ),
inference(demod,[status(thm)],[zip_derived_cl6134,zip_derived_cl6195,zip_derived_cl436]) ).
thf(zip_derived_cl1592_045,plain,
( sz10
= ( sdtasdt0 @ sz10 @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1552,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl1378_046,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) )
= ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) ) )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl134,zip_derived_cl5]) ).
thf(zip_derived_cl1628,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ sz10 @ ( sdtasdt0 @ sz10 @ X0 ) )
= ( sdtasdt0 @ X0 @ sz10 ) )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1592,zip_derived_cl1378]) ).
thf(zip_derived_cl2_047,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl2_048,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl1644,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ sz10 @ ( sdtasdt0 @ sz10 @ X0 ) )
= ( sdtasdt0 @ X0 @ sz10 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1628,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl6981,plain,
( ( ( sdtasdt0 @ sz10 @ xa )
= ( sdtasdt0 @ xa @ sz10 ) )
| ~ ( aInteger0 @ xa ) ),
inference('sup+',[status(thm)],[zip_derived_cl6948,zip_derived_cl1644]) ).
thf(zip_derived_cl6948_049,plain,
( ( sdtasdt0 @ sz10 @ xa )
= xa ),
inference(demod,[status(thm)],[zip_derived_cl6134,zip_derived_cl6195,zip_derived_cl436]) ).
thf(zip_derived_cl18_050,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl7012,plain,
( xa
= ( sdtasdt0 @ xa @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl6981,zip_derived_cl6948,zip_derived_cl18]) ).
thf(zip_derived_cl18_051,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl1_052,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl35674,plain,
( xa
= ( sdtpldt0 @ xa @ ( sdtasdt0 @ sz00 @ xa ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35611,zip_derived_cl776,zip_derived_cl7012,zip_derived_cl18,zip_derived_cl1]) ).
thf(zip_derived_cl11_053,plain,
! [X0: $i] :
( ( sz00
= ( sdtpldt0 @ ( smndt0 @ X0 ) @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddNeg]) ).
thf(zip_derived_cl6_054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl158,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( smndt0 @ X1 ) )
| ~ ( aInteger0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl6]) ).
thf(zip_derived_cl171,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ ( smndt0 @ X1 ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ sz00 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl158]) ).
thf(zip_derived_cl3_055,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl3991,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl3]) ).
thf(zip_derived_cl35835,plain,
( ( ( sdtpldt0 @ ( smndt0 @ xa ) @ xa )
= ( sdtpldt0 @ sz00 @ ( sdtasdt0 @ sz00 @ xa ) ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ sz00 @ xa ) )
| ~ ( aInteger0 @ xa ) ),
inference('sup+',[status(thm)],[zip_derived_cl35674,zip_derived_cl3991]) ).
thf(zip_derived_cl7_056,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl3_057,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ ( smndt0 @ X0 ) @ X1 )
= ( sdtpldt0 @ X1 @ ( smndt0 @ X0 ) ) )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl3]) ).
thf(mIntPlus,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( aInteger0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntPlus]) ).
thf(zip_derived_cl387,plain,
! [X0: $i,X1: $i] :
( ( aInteger0 @ ( sdtpldt0 @ ( smndt0 @ X1 ) @ X0 ) )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( smndt0 @ X1 ) )
| ~ ( aInteger0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl76,zip_derived_cl4]) ).
thf(zip_derived_cl401,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ ( smndt0 @ X1 ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtpldt0 @ ( smndt0 @ X1 ) @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl387]) ).
thf(zip_derived_cl3_058,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl729,plain,
! [X0: $i,X1: $i] :
( ( aInteger0 @ ( sdtpldt0 @ ( smndt0 @ X1 ) @ X0 ) )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl401,zip_derived_cl3]) ).
thf(zip_derived_cl3_059,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl7_060,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl6_061,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ ( sdtpldt0 @ X1 @ X0 ) )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl6]) ).
thf(zip_derived_cl160,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ ( sdtpldt0 @ X1 @ X0 ) )
| ~ ( aInteger0 @ X2 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl4_062,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntPlus]) ).
thf(zip_derived_cl2619,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl160,zip_derived_cl4]) ).
thf(zip_derived_cl3_063,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl7_064,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl1_065,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl74,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz00 @ X0 )
= ( sdtpldt0 @ X0 @ sz00 ) )
| ~ ( aInteger0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl1]) ).
thf(zip_derived_cl3_066,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl3_067,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl79_068,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xa @ X0 )
= ( sdtpldt0 @ X0 @ xa ) )
| ~ ( aInteger0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl18]) ).
thf(zip_derived_cl11_069,plain,
! [X0: $i] :
( ( sz00
= ( sdtpldt0 @ ( smndt0 @ X0 ) @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddNeg]) ).
thf(zip_derived_cl419,plain,
( ( sz00
= ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ ( smndt0 @ xa ) )
| ~ ( aInteger0 @ xa ) ),
inference('sup+',[status(thm)],[zip_derived_cl79,zip_derived_cl11]) ).
thf(zip_derived_cl18_070,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl430,plain,
( ( sz00
= ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ ( smndt0 @ xa ) ) ),
inference(demod,[status(thm)],[zip_derived_cl419,zip_derived_cl18]) ).
thf(zip_derived_cl620,plain,
( ~ ( aInteger0 @ xa )
| ( sz00
= ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl430]) ).
thf(zip_derived_cl18_071,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl621,plain,
( sz00
= ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) ),
inference(demod,[status(thm)],[zip_derived_cl620,zip_derived_cl18]) ).
thf(zip_derived_cl6_072,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl623,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xa @ ( sdtpldt0 @ ( smndt0 @ xa ) @ X0 ) )
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ ( smndt0 @ xa ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl621,zip_derived_cl6]) ).
thf(zip_derived_cl18_073,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl628,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xa @ ( sdtpldt0 @ ( smndt0 @ xa ) @ X0 ) )
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( smndt0 @ xa ) ) ),
inference(demod,[status(thm)],[zip_derived_cl623,zip_derived_cl18]) ).
thf(zip_derived_cl1185,plain,
! [X0: $i] :
( ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ xa @ ( sdtpldt0 @ ( smndt0 @ xa ) @ X0 ) )
= ( sdtpldt0 @ sz00 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl628]) ).
thf(zip_derived_cl18_074,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl1186,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ xa @ ( sdtpldt0 @ ( smndt0 @ xa ) @ X0 ) )
= ( sdtpldt0 @ sz00 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1185,zip_derived_cl18]) ).
thf(zip_derived_cl2385,plain,
( ( ( sdtpldt0 @ xa @ ( sdtpldt0 @ sz00 @ ( smndt0 @ xa ) ) )
= ( sdtpldt0 @ sz00 @ sz00 ) )
| ~ ( aInteger0 @ ( smndt0 @ xa ) )
| ~ ( aInteger0 @ sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl74,zip_derived_cl1186]) ).
thf(zip_derived_cl3_075,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz00 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddNeg]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( X0
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl33,plain,
( ( ( smndt0 @ sz00 )
= sz00 )
| ~ ( aInteger0 @ sz00 )
| ~ ( aInteger0 @ ( smndt0 @ sz00 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl9]) ).
thf(zip_derived_cl1_076,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl36,plain,
( ( ( smndt0 @ sz00 )
= sz00 )
| ~ ( aInteger0 @ ( smndt0 @ sz00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl1]) ).
thf(zip_derived_cl37,plain,
( ~ ( aInteger0 @ sz00 )
| ( ( smndt0 @ sz00 )
= sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl36]) ).
thf(zip_derived_cl1_077,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl38,plain,
( ( smndt0 @ sz00 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl1]) ).
thf(zip_derived_cl10_078,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz00 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddNeg]) ).
thf(zip_derived_cl40,plain,
( ( ( sdtpldt0 @ sz00 @ sz00 )
= sz00 )
| ~ ( aInteger0 @ sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl10]) ).
thf(zip_derived_cl1_079,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl42,plain,
( ( sdtpldt0 @ sz00 @ sz00 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl1]) ).
thf(zip_derived_cl1_080,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl2397,plain,
( ( ( sdtpldt0 @ xa @ ( sdtpldt0 @ sz00 @ ( smndt0 @ xa ) ) )
= sz00 )
| ~ ( aInteger0 @ ( smndt0 @ xa ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2385,zip_derived_cl42,zip_derived_cl1]) ).
thf(zip_derived_cl2409,plain,
( ~ ( aInteger0 @ xa )
| ( ( sdtpldt0 @ xa @ ( sdtpldt0 @ sz00 @ ( smndt0 @ xa ) ) )
= sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl2397]) ).
thf(zip_derived_cl18_081,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl2410,plain,
( ( sdtpldt0 @ xa @ ( sdtpldt0 @ sz00 @ ( smndt0 @ xa ) ) )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl2409,zip_derived_cl18]) ).
thf(zip_derived_cl2658,plain,
( ( ( sdtpldt0 @ sz00 @ ( sdtpldt0 @ ( smndt0 @ xa ) @ xa ) )
= sz00 )
| ~ ( aInteger0 @ ( smndt0 @ xa ) )
| ~ ( aInteger0 @ sz00 )
| ~ ( aInteger0 @ xa ) ),
inference('sup+',[status(thm)],[zip_derived_cl2619,zip_derived_cl2410]) ).
thf(zip_derived_cl1_082,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl18_083,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl2946,plain,
( ( ( sdtpldt0 @ sz00 @ ( sdtpldt0 @ ( smndt0 @ xa ) @ xa ) )
= sz00 )
| ~ ( aInteger0 @ ( smndt0 @ xa ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2658,zip_derived_cl1,zip_derived_cl18]) ).
thf(zip_derived_cl2995,plain,
( ~ ( aInteger0 @ xa )
| ( ( sdtpldt0 @ sz00 @ ( sdtpldt0 @ ( smndt0 @ xa ) @ xa ) )
= sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl2946]) ).
thf(zip_derived_cl18_084,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl2996,plain,
( ( sdtpldt0 @ sz00 @ ( sdtpldt0 @ ( smndt0 @ xa ) @ xa ) )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl2995,zip_derived_cl18]) ).
thf(zip_derived_cl9_085,plain,
! [X0: $i] :
( ( X0
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl3004,plain,
( ( ( sdtpldt0 @ ( smndt0 @ xa ) @ xa )
= sz00 )
| ~ ( aInteger0 @ ( sdtpldt0 @ ( smndt0 @ xa ) @ xa ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2996,zip_derived_cl9]) ).
thf(zip_derived_cl3028,plain,
( ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ xa )
| ( ( sdtpldt0 @ ( smndt0 @ xa ) @ xa )
= sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl3004]) ).
thf(zip_derived_cl18_086,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl18_087,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl3036,plain,
( ( sdtpldt0 @ ( smndt0 @ xa ) @ xa )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl3028,zip_derived_cl18,zip_derived_cl18]) ).
thf(zip_derived_cl6195_088,plain,
( ( sdtasdt0 @ sz10 @ sz00 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl6194,zip_derived_cl2]) ).
thf(zip_derived_cl1483_089,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ sz10 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1480,zip_derived_cl5]) ).
thf(zip_derived_cl6223,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ sz00 @ X0 )
= ( sdtasdt0 @ X0 @ sz00 ) )
| ~ ( aInteger0 @ sz00 )
| ~ ( aInteger0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6195,zip_derived_cl1483]) ).
thf(zip_derived_cl1_090,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl6255,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ sz00 @ X0 )
= ( sdtasdt0 @ X0 @ sz00 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6223,zip_derived_cl1]) ).
thf(zip_derived_cl13_091,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl436_092,plain,
( ( sdtpldt0 @ sz00 @ xa )
= xa ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl1,zip_derived_cl18]) ).
thf(zip_derived_cl16_093,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mDistrib]) ).
thf(zip_derived_cl4_094,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntPlus]) ).
thf(zip_derived_cl175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( aInteger0 @ ( sdtasdt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ ( sdtasdt0 @ X2 @ X0 ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ X2 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl4]) ).
thf(zip_derived_cl5_095,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntMult]) ).
thf(zip_derived_cl4872,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ ( sdtasdt0 @ X2 @ X1 ) )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X0 )
| ( aInteger0 @ ( sdtasdt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl175,zip_derived_cl5]) ).
thf(zip_derived_cl5_096,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntMult]) ).
thf(zip_derived_cl4873,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( aInteger0 @ ( sdtasdt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl4872,zip_derived_cl5]) ).
thf(zip_derived_cl4912,plain,
! [X0: $i] :
( ( aInteger0 @ ( sdtasdt0 @ X0 @ xa ) )
| ~ ( aInteger0 @ sz00 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ xa ) ),
inference('sup+',[status(thm)],[zip_derived_cl436,zip_derived_cl4873]) ).
thf(zip_derived_cl1_097,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl18_098,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl4981,plain,
! [X0: $i] :
( ( aInteger0 @ ( sdtasdt0 @ X0 @ xa ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4912,zip_derived_cl1,zip_derived_cl18]) ).
thf(zip_derived_cl5043,plain,
! [X0: $i] :
( ( aInteger0 @ ( sdtasdt0 @ xa @ X0 ) )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl4981]) ).
thf(zip_derived_cl18_099,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl5049,plain,
! [X0: $i] :
( ( aInteger0 @ ( sdtasdt0 @ xa @ X0 ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5043,zip_derived_cl18]) ).
thf(zip_derived_cl5050,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( aInteger0 @ ( sdtasdt0 @ xa @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5049]) ).
thf(zip_derived_cl6528,plain,
( ( aInteger0 @ ( sdtasdt0 @ sz00 @ xa ) )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6255,zip_derived_cl5050]) ).
thf(zip_derived_cl18_100,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl1_101,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl6620,plain,
aInteger0 @ ( sdtasdt0 @ sz00 @ xa ),
inference(demod,[status(thm)],[zip_derived_cl6528,zip_derived_cl18,zip_derived_cl1]) ).
thf(zip_derived_cl18_102,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl35873,plain,
( sz00
= ( sdtpldt0 @ sz00 @ ( sdtasdt0 @ sz00 @ xa ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35835,zip_derived_cl3036,zip_derived_cl6620,zip_derived_cl18]) ).
thf(zip_derived_cl9_103,plain,
! [X0: $i] :
( ( X0
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl36302,plain,
( ( ( sdtasdt0 @ sz00 @ xa )
= sz00 )
| ~ ( aInteger0 @ ( sdtasdt0 @ sz00 @ xa ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl35873,zip_derived_cl9]) ).
thf(zip_derived_cl6620_104,plain,
aInteger0 @ ( sdtasdt0 @ sz00 @ xa ),
inference(demod,[status(thm)],[zip_derived_cl6528,zip_derived_cl18,zip_derived_cl1]) ).
thf(zip_derived_cl36344,plain,
( ( sdtasdt0 @ sz00 @ xa )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl36302,zip_derived_cl6620]) ).
thf(zip_derived_cl13_105,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(m__,conjecture,
( ( ( sdtasdt0 @ xa @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ xa ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( sdtasdt0 @ xa @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ xa ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl19,plain,
( ( ( sdtasdt0 @ xa @ sz00 )
!= sz00 )
| ( sz00
!= ( sdtasdt0 @ sz00 @ xa ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53,plain,
( ( ( sdtasdt0 @ sz00 @ xa )
!= sz00 )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ sz00 )
| ( sz00
!= ( sdtasdt0 @ sz00 @ xa ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl19]) ).
thf(zip_derived_cl18_106,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__419]) ).
thf(zip_derived_cl1_107,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl69,plain,
( ( ( sdtasdt0 @ sz00 @ xa )
!= sz00 )
| ( sz00
!= ( sdtasdt0 @ sz00 @ xa ) ) ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl18,zip_derived_cl1]) ).
thf(zip_derived_cl70,plain,
( ( sdtasdt0 @ sz00 @ xa )
!= sz00 ),
inference(simplify,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl36345,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl36344,zip_derived_cl70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM421+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nQ0YxD9mB7 true
% 0.13/0.35 % Computer : n005.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 17:28:53 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
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.31/0.80 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.31/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.31/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.31/0.80 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.60/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.60/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 26.50/4.43 % Solved by fo/fo5.sh.
% 26.50/4.43 % done 2495 iterations in 3.570s
% 26.50/4.43 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 26.50/4.43 % SZS output start Refutation
% See solution above
% 26.50/4.43
% 26.50/4.43
% 26.50/4.43 % Terminating...
% 26.50/4.47 % Runner terminated.
% 26.50/4.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------