TSTP Solution File: RNG109+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG109+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.pcYRDZwmgd true
% Computer : n017.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 14:06:58 EDT 2023
% Result : Theorem 136.92s 20.17s
% Output : Refutation 136.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 38
% Syntax : Number of formulae : 200 ( 73 unt; 18 typ; 0 def)
% Number of atoms : 409 ( 119 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1228 ( 186 ~; 179 |; 28 &; 815 @)
% ( 8 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 6 con; 0-5 aty)
% Number of variables : 161 ( 0 ^; 153 !; 8 ?; 161 :)
% Comments :
%------------------------------------------------------------------------------
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sdtpldt1_type,type,
sdtpldt1: $i > $i > $i ).
thf(sz10_type,type,
sz10: $i ).
thf(xa_type,type,
xa: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(slsdtgt0_type,type,
slsdtgt0: $i > $i ).
thf(aIdeal0_type,type,
aIdeal0: $i > $o ).
thf(sk__15_type,type,
sk__15: $i > $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $i > $i > $o ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(xb_type,type,
xb: $i ).
thf(xI_type,type,
xI: $i ).
thf(mDefPrIdeal,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ! [W1: $i] :
( ( W1
= ( slsdtgt0 @ W0 ) )
<=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
<=> ? [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W3 )
= W2 )
& ( aElement0 @ W3 ) ) ) ) ) ) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( slsdtgt0 @ X0 ) )
| ( aSet0 @ X1 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrIdeal]) ).
thf(zip_derived_cl120,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( aSet0 @ ( slsdtgt0 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl120_001,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( aSet0 @ ( slsdtgt0 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl92]) ).
thf(m__2203,axiom,
( ( aElementOf0 @ xb @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ xa @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xa ) ) ) ).
thf(zip_derived_cl102,plain,
aElementOf0 @ xa @ ( slsdtgt0 @ xa ),
inference(cnf,[status(esa)],[m__2203]) ).
thf(mMulZero,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ( sz00
= ( sdtasdt0 @ sz00 @ X0 ) )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulZero]) ).
thf(mDefDiv,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( doDivides0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( ( sdtasdt0 @ W0 @ W2 )
= W1 )
& ( aElement0 @ W2 ) ) ) ) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aElement0 @ X2 )
| ( ( sdtasdt0 @ X0 @ X2 )
!= X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl1223,plain,
! [X0: $i,X1: $i] :
( ( sz00 != X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X1 )
| ( doDivides0 @ sz00 @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl74]) ).
thf(mSortsC,axiom,
aElement0 @ sz00 ).
thf(zip_derived_cl1,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1235,plain,
! [X0: $i,X1: $i] :
( ( sz00 != X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X1 )
| ( doDivides0 @ sz00 @ X0 )
| ~ ( aElement0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1223,zip_derived_cl1]) ).
thf(zip_derived_cl1236,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ( doDivides0 @ sz00 @ X0 )
| ~ ( aElement0 @ X1 )
| ( sz00 != X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1235]) ).
thf(zip_derived_cl1348,plain,
! [X0: $i] :
( ( sz00 != X0 )
| ( doDivides0 @ sz00 @ X0 )
| ~ ( aElement0 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl1236]) ).
thf(zip_derived_cl1351,plain,
( ~ ( aElement0 @ sz00 )
| ( doDivides0 @ sz00 @ sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1348]) ).
thf(zip_derived_cl1_002,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1352,plain,
doDivides0 @ sz00 @ sz00,
inference(demod,[status(thm)],[zip_derived_cl1351,zip_derived_cl1]) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( ( sdtasdt0 @ X0 @ ( sk__15 @ X1 @ X0 ) )
= X1 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl2510,plain,
( ( ( sdtasdt0 @ sz00 @ ( sk__15 @ sz00 @ sz00 ) )
= sz00 )
| ~ ( aElement0 @ sz00 )
| ~ ( aElement0 @ sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1352,zip_derived_cl72]) ).
thf(zip_derived_cl1_003,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1_004,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl2523,plain,
( ( sdtasdt0 @ sz00 @ ( sk__15 @ sz00 @ sz00 ) )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl2510,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( slsdtgt0 @ X0 ) )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aElement0 @ X3 )
| ( ( sdtasdt0 @ X0 @ X3 )
!= X2 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrIdeal]) ).
thf(zip_derived_cl1217,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ( ( sdtasdt0 @ X0 @ X1 )
!= X2 )
| ~ ( aElement0 @ X1 )
| ( aElementOf0 @ X2 @ ( slsdtgt0 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl9201,plain,
! [X0: $i] :
( ( sz00 != X0 )
| ( aElementOf0 @ X0 @ ( slsdtgt0 @ sz00 ) )
| ~ ( aElement0 @ ( sk__15 @ sz00 @ sz00 ) )
| ~ ( aElement0 @ sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2523,zip_derived_cl1217]) ).
thf(zip_derived_cl1352_005,plain,
doDivides0 @ sz00 @ sz00,
inference(demod,[status(thm)],[zip_derived_cl1351,zip_derived_cl1]) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( aElement0 @ ( sk__15 @ X1 @ X0 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl1353,plain,
( ( aElement0 @ ( sk__15 @ sz00 @ sz00 ) )
| ~ ( aElement0 @ sz00 )
| ~ ( aElement0 @ sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1352,zip_derived_cl73]) ).
thf(zip_derived_cl1_006,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1_007,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1359,plain,
aElement0 @ ( sk__15 @ sz00 @ sz00 ),
inference(demod,[status(thm)],[zip_derived_cl1353,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl1_008,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl9223,plain,
! [X0: $i] :
( ( sz00 != X0 )
| ( aElementOf0 @ X0 @ ( slsdtgt0 @ sz00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9201,zip_derived_cl1359,zip_derived_cl1]) ).
thf(zip_derived_cl9237,plain,
aElementOf0 @ sz00 @ ( slsdtgt0 @ sz00 ),
inference(eq_res,[status(thm)],[zip_derived_cl9223]) ).
thf(mAddComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl6_009,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(m__2091,axiom,
( ( aElement0 @ xb )
& ( aElement0 @ xa ) ) ).
thf(zip_derived_cl95,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl205,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xa @ X0 )
= ( sdtpldt0 @ X0 @ xa ) )
| ~ ( aElement0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl95]) ).
thf(mAddZero,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl10058,plain,
( ( ( sdtpldt0 @ sz00 @ xa )
= xa )
| ~ ( aElement0 @ sz00 )
| ~ ( aElement0 @ xa ) ),
inference('sup+',[status(thm)],[zip_derived_cl205,zip_derived_cl8]) ).
thf(zip_derived_cl1_010,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl95_011,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl10126,plain,
( ( sdtpldt0 @ sz00 @ xa )
= xa ),
inference(demod,[status(thm)],[zip_derived_cl10058,zip_derived_cl1,zip_derived_cl95]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz00 )
= sz00 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulZero]) ).
thf(mAMDistr,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 )
& ( aElement0 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
= ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ X0 @ X2 ) @ X1 )
= ( sdtpldt0 @ ( sdtasdt0 @ X0 @ X1 ) @ ( sdtasdt0 @ X2 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[mAMDistr]) ).
thf(zip_derived_cl787,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ ( sdtpldt0 @ X1 @ X0 ) @ sz00 )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ sz00 ) @ sz00 ) )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ sz00 )
| ~ ( aElement0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl17]) ).
thf(zip_derived_cl1_012,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl805,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ ( sdtpldt0 @ X1 @ X0 ) @ sz00 )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ sz00 ) @ sz00 ) )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl787,zip_derived_cl1]) ).
thf(zip_derived_cl806,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X0 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ X1 @ X0 ) @ sz00 )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ sz00 ) @ sz00 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl805]) ).
thf(zip_derived_cl91783,plain,
( ( ( sdtasdt0 @ xa @ sz00 )
= ( sdtpldt0 @ ( sdtasdt0 @ sz00 @ sz00 ) @ sz00 ) )
| ~ ( aElement0 @ xa )
| ~ ( aElement0 @ sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl10126,zip_derived_cl806]) ).
thf(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl1_013,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl365,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ sz00 @ X0 )
= ( sdtasdt0 @ X0 @ sz00 ) )
| ~ ( aElement0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl1]) ).
thf(zip_derived_cl21_014,plain,
! [X0: $i] :
( ( sz00
= ( sdtasdt0 @ sz00 @ X0 ) )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulZero]) ).
thf(zip_derived_cl20651,plain,
( ( sz00
= ( sdtasdt0 @ sz00 @ sz00 ) )
| ~ ( aElement0 @ sz00 )
| ~ ( aElement0 @ sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl365,zip_derived_cl21]) ).
thf(zip_derived_cl1_015,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1_016,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl20727,plain,
( sz00
= ( sdtasdt0 @ sz00 @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl20651,zip_derived_cl1,zip_derived_cl1]) ).
thf(mSortsU,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ( aElement0 @ ( smndt0 @ W0 ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( aElement0 @ ( smndt0 @ X0 ) )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mSortsU]) ).
thf(mAddInvr,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
= sz00 )
& ( sz00
= ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz00 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddInvr]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( X0
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl132,plain,
( ( ( smndt0 @ sz00 )
= sz00 )
| ~ ( aElement0 @ sz00 )
| ~ ( aElement0 @ ( smndt0 @ sz00 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl9]) ).
thf(zip_derived_cl1_017,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl135,plain,
( ( ( smndt0 @ sz00 )
= sz00 )
| ~ ( aElement0 @ ( smndt0 @ sz00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl1]) ).
thf(zip_derived_cl149,plain,
( ~ ( aElement0 @ sz00 )
| ( ( smndt0 @ sz00 )
= sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl135]) ).
thf(zip_derived_cl1_018,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl150,plain,
( ( smndt0 @ sz00 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl1]) ).
thf(zip_derived_cl10_019,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz00 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddInvr]) ).
thf(zip_derived_cl152,plain,
( ( ( sdtpldt0 @ sz00 @ sz00 )
= sz00 )
| ~ ( aElement0 @ sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl150,zip_derived_cl10]) ).
thf(zip_derived_cl1_020,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl154,plain,
( ( sdtpldt0 @ sz00 @ sz00 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl1]) ).
thf(zip_derived_cl95_021,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl1_022,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl91996,plain,
( ( sdtasdt0 @ xa @ sz00 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl91783,zip_derived_cl20727,zip_derived_cl154,zip_derived_cl95,zip_derived_cl1]) ).
thf(mMulUnit,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz10 )
= X0 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulUnit]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mAMDistr]) ).
thf(zip_derived_cl659,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X0 @ ( sdtpldt0 @ sz10 @ X1 ) )
= ( sdtpldt0 @ X0 @ ( sdtasdt0 @ X0 @ X1 ) ) )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ sz10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl16]) ).
thf(mSortsC_01,axiom,
aElement0 @ sz10 ).
thf(zip_derived_cl2,plain,
aElement0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl680,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X0 @ ( sdtpldt0 @ sz10 @ X1 ) )
= ( sdtpldt0 @ X0 @ ( sdtasdt0 @ X0 @ X1 ) ) )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl659,zip_derived_cl2]) ).
thf(zip_derived_cl681,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X0 )
| ( ( sdtasdt0 @ X0 @ ( sdtpldt0 @ sz10 @ X1 ) )
= ( sdtpldt0 @ X0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl680]) ).
thf(zip_derived_cl92221,plain,
( ( ( sdtasdt0 @ xa @ ( sdtpldt0 @ sz10 @ sz00 ) )
= ( sdtpldt0 @ xa @ sz00 ) )
| ~ ( aElement0 @ xa )
| ~ ( aElement0 @ sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl91996,zip_derived_cl681]) ).
thf(zip_derived_cl95_023,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl1_024,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl92307,plain,
( ( sdtasdt0 @ xa @ ( sdtpldt0 @ sz10 @ sz00 ) )
= ( sdtpldt0 @ xa @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl92221,zip_derived_cl95,zip_derived_cl1]) ).
thf(zip_derived_cl107016,plain,
( ( ( sdtasdt0 @ xa @ ( sdtpldt0 @ sz00 @ sz10 ) )
= ( sdtpldt0 @ xa @ sz00 ) )
| ~ ( aElement0 @ sz00 )
| ~ ( aElement0 @ sz10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl92307]) ).
thf(zip_derived_cl6_025,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl2_026,plain,
aElement0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl201,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz10 @ X0 )
= ( sdtpldt0 @ X0 @ sz10 ) )
| ~ ( aElement0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl8_027,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl9134,plain,
( ( ( sdtpldt0 @ sz00 @ sz10 )
= sz10 )
| ~ ( aElement0 @ sz00 )
| ~ ( aElement0 @ sz10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl201,zip_derived_cl8]) ).
thf(zip_derived_cl1_028,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl2_029,plain,
aElement0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl9161,plain,
( ( sdtpldt0 @ sz00 @ sz10 )
= sz10 ),
inference(demod,[status(thm)],[zip_derived_cl9134,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl91996_030,plain,
( ( sdtasdt0 @ xa @ sz00 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl91783,zip_derived_cl20727,zip_derived_cl154,zip_derived_cl95,zip_derived_cl1]) ).
thf(zip_derived_cl14_031,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz10 )
= X0 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulUnit]) ).
thf(zip_derived_cl16_032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mAMDistr]) ).
thf(zip_derived_cl651,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X0 @ ( sdtpldt0 @ X1 @ sz10 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X0 @ X1 ) @ X0 ) )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ sz10 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl16]) ).
thf(zip_derived_cl2_033,plain,
aElement0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl668,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X0 @ ( sdtpldt0 @ X1 @ sz10 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X0 @ X1 ) @ X0 ) )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl651,zip_derived_cl2]) ).
thf(zip_derived_cl669,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X0 )
| ( ( sdtasdt0 @ X0 @ ( sdtpldt0 @ X1 @ sz10 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X0 @ X1 ) @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl668]) ).
thf(zip_derived_cl92220,plain,
( ( ( sdtasdt0 @ xa @ ( sdtpldt0 @ sz00 @ sz10 ) )
= ( sdtpldt0 @ sz00 @ xa ) )
| ~ ( aElement0 @ xa )
| ~ ( aElement0 @ sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl91996,zip_derived_cl669]) ).
thf(zip_derived_cl9161_034,plain,
( ( sdtpldt0 @ sz00 @ sz10 )
= sz10 ),
inference(demod,[status(thm)],[zip_derived_cl9134,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl10126_035,plain,
( ( sdtpldt0 @ sz00 @ xa )
= xa ),
inference(demod,[status(thm)],[zip_derived_cl10058,zip_derived_cl1,zip_derived_cl95]) ).
thf(zip_derived_cl95_036,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl1_037,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl92306,plain,
( ( sdtasdt0 @ xa @ sz10 )
= xa ),
inference(demod,[status(thm)],[zip_derived_cl92220,zip_derived_cl9161,zip_derived_cl10126,zip_derived_cl95,zip_derived_cl1]) ).
thf(zip_derived_cl1_038,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl2_039,plain,
aElement0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl107063,plain,
( xa
= ( sdtpldt0 @ xa @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl107016,zip_derived_cl9161,zip_derived_cl92306,zip_derived_cl1,zip_derived_cl2]) ).
thf(mDefSSum,axiom,
! [W0: $i,W1: $i] :
( ( ( aSet0 @ W1 )
& ( aSet0 @ W0 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtpldt1 @ W0 @ W1 ) )
<=> ( ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ? [W4: $i,W5: $i] :
( ( aElementOf0 @ W4 @ W0 )
& ( aElementOf0 @ W5 @ W1 )
& ( ( sdtpldt0 @ W4 @ W5 )
= W3 ) ) )
& ( aSet0 @ W2 ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [W5: $i,W4: $i,W3: $i,W1: $i,W0: $i] :
( ( zip_tseitin_2 @ W5 @ W4 @ W3 @ W1 @ W0 )
<=> ( ( ( sdtpldt0 @ W4 @ W5 )
= W3 )
& ( aElementOf0 @ W5 @ W1 )
& ( aElementOf0 @ W4 @ W0 ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ~ ( aElementOf0 @ X1 @ X4 )
| ~ ( aElementOf0 @ X0 @ X3 )
| ( ( sdtpldt0 @ X1 @ X0 )
!= X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl107178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xa != X0 )
| ~ ( aElementOf0 @ sz00 @ X1 )
| ~ ( aElementOf0 @ xa @ X2 )
| ( zip_tseitin_2 @ sz00 @ xa @ X0 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl107063,zip_derived_cl34]) ).
thf(zip_derived_cl191913,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ sz00 @ xa @ X1 @ ( slsdtgt0 @ sz00 ) @ X0 )
| ~ ( aElementOf0 @ xa @ X0 )
| ( xa != X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9237,zip_derived_cl107178]) ).
thf(zip_derived_cl192484,plain,
! [X0: $i] :
( ( xa != X0 )
| ( zip_tseitin_2 @ sz00 @ xa @ X0 @ ( slsdtgt0 @ sz00 ) @ ( slsdtgt0 @ xa ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl191913]) ).
thf(zip_derived_cl192505,plain,
zip_tseitin_2 @ sz00 @ xa @ xa @ ( slsdtgt0 @ sz00 ) @ ( slsdtgt0 @ xa ),
inference(eq_res,[status(thm)],[zip_derived_cl192484]) ).
thf(zf_stmt_1,type,
zip_tseitin_2: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [W0: $i,W1: $i] :
( ( ( aSet0 @ W0 )
& ( aSet0 @ W1 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtpldt1 @ W0 @ W1 ) )
<=> ( ( aSet0 @ W2 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ? [W4: $i,W5: $i] : ( zip_tseitin_2 @ W5 @ W4 @ W3 @ W1 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 )
| ~ ( zip_tseitin_2 @ X2 @ X3 @ X4 @ X1 @ X0 )
| ( aElementOf0 @ X4 @ X5 )
| ( X5
!= ( sdtpldt1 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( aElementOf0 @ X2 @ ( sdtpldt1 @ X1 @ X0 ) )
| ~ ( zip_tseitin_2 @ X4 @ X3 @ X2 @ X0 @ X1 )
| ~ ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl192790,plain,
( ~ ( aSet0 @ ( slsdtgt0 @ xa ) )
| ~ ( aSet0 @ ( slsdtgt0 @ sz00 ) )
| ( aElementOf0 @ xa @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ sz00 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl192505,zip_derived_cl1184]) ).
thf(m__2174,axiom,
( ( xI
= ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) )
& ( aIdeal0 @ xI ) ) ).
thf(zip_derived_cl98,plain,
( xI
= ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ),
inference(cnf,[status(esa)],[m__2174]) ).
thf(zip_derived_cl120_040,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( aSet0 @ ( slsdtgt0 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl120_041,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( aSet0 @ ( slsdtgt0 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl103,plain,
aElementOf0 @ sz00 @ ( slsdtgt0 @ xa ),
inference(cnf,[status(esa)],[m__2203]) ).
thf(zip_derived_cl100,plain,
aElementOf0 @ xb @ ( slsdtgt0 @ xb ),
inference(cnf,[status(esa)],[m__2203]) ).
thf(zip_derived_cl6_042,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl94,plain,
aElement0 @ xb,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl206,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xb @ X0 )
= ( sdtpldt0 @ X0 @ xb ) )
| ~ ( aElement0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl94]) ).
thf(zip_derived_cl8_043,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl10222,plain,
( ( ( sdtpldt0 @ sz00 @ xb )
= xb )
| ~ ( aElement0 @ sz00 )
| ~ ( aElement0 @ xb ) ),
inference('sup+',[status(thm)],[zip_derived_cl206,zip_derived_cl8]) ).
thf(zip_derived_cl1_044,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl94_045,plain,
aElement0 @ xb,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl10292,plain,
( ( sdtpldt0 @ sz00 @ xb )
= xb ),
inference(demod,[status(thm)],[zip_derived_cl10222,zip_derived_cl1,zip_derived_cl94]) ).
thf(zip_derived_cl34_046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ~ ( aElementOf0 @ X1 @ X4 )
| ~ ( aElementOf0 @ X0 @ X3 )
| ( ( sdtpldt0 @ X1 @ X0 )
!= X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10330,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xb != X0 )
| ~ ( aElementOf0 @ xb @ X1 )
| ~ ( aElementOf0 @ sz00 @ X2 )
| ( zip_tseitin_2 @ xb @ sz00 @ X0 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10292,zip_derived_cl34]) ).
thf(zip_derived_cl17437,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ xb @ sz00 @ X1 @ ( slsdtgt0 @ xb ) @ X0 )
| ~ ( aElementOf0 @ sz00 @ X0 )
| ( xb != X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl10330]) ).
thf(zip_derived_cl17455,plain,
! [X0: $i] :
( ( xb != X0 )
| ( zip_tseitin_2 @ xb @ sz00 @ X0 @ ( slsdtgt0 @ xb ) @ ( slsdtgt0 @ xa ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl17437]) ).
thf(zip_derived_cl17473,plain,
zip_tseitin_2 @ xb @ sz00 @ xb @ ( slsdtgt0 @ xb ) @ ( slsdtgt0 @ xa ),
inference(eq_res,[status(thm)],[zip_derived_cl17455]) ).
thf(zip_derived_cl1184_047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( aElementOf0 @ X2 @ ( sdtpldt1 @ X1 @ X0 ) )
| ~ ( zip_tseitin_2 @ X4 @ X3 @ X2 @ X0 @ X1 )
| ~ ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl124144,plain,
( ~ ( aSet0 @ ( slsdtgt0 @ xa ) )
| ~ ( aSet0 @ ( slsdtgt0 @ xb ) )
| ( aElementOf0 @ xb @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl17473,zip_derived_cl1184]) ).
thf(zip_derived_cl98_048,plain,
( xI
= ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ),
inference(cnf,[status(esa)],[m__2174]) ).
thf(zip_derived_cl124161,plain,
( ~ ( aSet0 @ ( slsdtgt0 @ xa ) )
| ~ ( aSet0 @ ( slsdtgt0 @ xb ) )
| ( aElementOf0 @ xb @ xI ) ),
inference(demod,[status(thm)],[zip_derived_cl124144,zip_derived_cl98]) ).
thf(zip_derived_cl126450,plain,
( ~ ( aElement0 @ xa )
| ( aElementOf0 @ xb @ xI )
| ~ ( aSet0 @ ( slsdtgt0 @ xb ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl124161]) ).
thf(zip_derived_cl95_049,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl126463,plain,
( ( aElementOf0 @ xb @ xI )
| ~ ( aSet0 @ ( slsdtgt0 @ xb ) ) ),
inference(demod,[status(thm)],[zip_derived_cl126450,zip_derived_cl95]) ).
thf(zip_derived_cl126465,plain,
( ~ ( aElement0 @ xb )
| ( aElementOf0 @ xb @ xI ) ),
inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl126463]) ).
thf(zip_derived_cl94_050,plain,
aElement0 @ xb,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl126478,plain,
aElementOf0 @ xb @ xI,
inference(demod,[status(thm)],[zip_derived_cl126465,zip_derived_cl94]) ).
thf(m__,conjecture,
? [W0: $i] :
( ( W0 != sz00 )
& ( aElementOf0 @ W0 @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ) ) ).
thf(zf_stmt_3,negated_conjecture,
~ ? [W0: $i] :
( ( W0 != sz00 )
& ( aElementOf0 @ W0 @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl104,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ ( aElementOf0 @ X0 @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl98_051,plain,
( xI
= ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ),
inference(cnf,[status(esa)],[m__2174]) ).
thf(zip_derived_cl105,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ ( aElementOf0 @ X0 @ xI ) ),
inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl98]) ).
thf(zip_derived_cl126487,plain,
xb = sz00,
inference('sup-',[status(thm)],[zip_derived_cl126478,zip_derived_cl105]) ).
thf(zip_derived_cl126505,plain,
( xI
= ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ sz00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl126487]) ).
thf(zip_derived_cl192837,plain,
( ~ ( aSet0 @ ( slsdtgt0 @ xa ) )
| ~ ( aSet0 @ ( slsdtgt0 @ sz00 ) )
| ( aElementOf0 @ xa @ xI ) ),
inference(demod,[status(thm)],[zip_derived_cl192790,zip_derived_cl126505]) ).
thf(zip_derived_cl192853,plain,
( ~ ( aElement0 @ xa )
| ( aElementOf0 @ xa @ xI )
| ~ ( aSet0 @ ( slsdtgt0 @ sz00 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl192837]) ).
thf(zip_derived_cl95_052,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl192866,plain,
( ( aElementOf0 @ xa @ xI )
| ~ ( aSet0 @ ( slsdtgt0 @ sz00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl192853,zip_derived_cl95]) ).
thf(zip_derived_cl192868,plain,
( ~ ( aElement0 @ sz00 )
| ( aElementOf0 @ xa @ xI ) ),
inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl192866]) ).
thf(zip_derived_cl1_053,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl192883,plain,
aElementOf0 @ xa @ xI,
inference(demod,[status(thm)],[zip_derived_cl192868,zip_derived_cl1]) ).
thf(zip_derived_cl105_054,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ ( aElementOf0 @ X0 @ xI ) ),
inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl98]) ).
thf(zip_derived_cl192897,plain,
xa = sz00,
inference('sup-',[status(thm)],[zip_derived_cl192883,zip_derived_cl105]) ).
thf(m__2110,axiom,
( ( xa != sz00 )
| ( xb != sz00 ) ) ).
thf(zip_derived_cl96,plain,
( ( xa != sz00 )
| ( xb != sz00 ) ),
inference(cnf,[status(esa)],[m__2110]) ).
thf(zip_derived_cl126487_055,plain,
xb = sz00,
inference('sup-',[status(thm)],[zip_derived_cl126478,zip_derived_cl105]) ).
thf(zip_derived_cl126502,plain,
( ( xa != sz00 )
| ( sz00 != sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl126487]) ).
thf(zip_derived_cl126503,plain,
xa != sz00,
inference(simplify,[status(thm)],[zip_derived_cl126502]) ).
thf(zip_derived_cl192921,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl192897,zip_derived_cl126503]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG109+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pcYRDZwmgd true
% 0.14/0.35 % Computer : n017.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 : Sun Aug 27 01:25:26 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
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % 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
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.96/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.96/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.37/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.37/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.37/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.37/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 136.92/20.17 % Solved by fo/fo5.sh.
% 136.92/20.17 % done 11108 iterations in 19.387s
% 136.92/20.17 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 136.92/20.17 % SZS output start Refutation
% See solution above
% 136.92/20.17
% 136.92/20.17
% 136.92/20.17 % Terminating...
% 137.49/20.30 % Runner terminated.
% 137.49/20.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------