TSTP Solution File: NUM454+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM454+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.inRxM4P3by true
% Computer : n026.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 12:41:33 EDT 2023
% Result : Theorem 9.32s 2.01s
% Output : Refutation 9.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 25
% Syntax : Number of formulae : 276 ( 124 unt; 12 typ; 0 def)
% Number of atoms : 502 ( 192 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 1939 ( 216 ~; 215 |; 13 &;1485 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 132 ( 0 ^; 132 !; 0 ?; 132 :)
% Comments :
%------------------------------------------------------------------------------
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(xp_type,type,
xp: $i ).
thf(aInteger0_type,type,
aInteger0: $i > $o ).
thf(sz10_type,type,
sz10: $i ).
thf(xS_type,type,
xS: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sbsmnsldt0_type,type,
sbsmnsldt0: $i > $i ).
thf(szAzrzSzezqlpdtcmdtrp0_type,type,
szAzrzSzezqlpdtcmdtrp0: $i > $i > $i ).
thf(stldt0_type,type,
stldt0: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(mMulOne,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz10 )
= X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulOne]) ).
thf(zip_derived_cl14_001,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ 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_cl480,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ sz10 )
| ( ( sdtasdt0 @ X0 @ ( sdtpldt0 @ X1 @ sz10 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X0 @ X1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl16]) ).
thf(mIntOne,axiom,
aInteger0 @ sz10 ).
thf(zip_derived_cl2,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl497,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ X0 @ ( sdtpldt0 @ X1 @ sz10 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X0 @ X1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl2]) ).
thf(zip_derived_cl498,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X0 @ ( sdtpldt0 @ X1 @ sz10 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X0 @ X1 ) @ X0 ) )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl497]) ).
thf(zip_derived_cl11878,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ X0 @ ( sdtpldt0 @ sz10 @ sz10 ) )
= ( sdtpldt0 @ X0 @ X0 ) )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl498]) ).
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_002,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl3_003,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(mAddNeg,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
= sz00 )
& ( sz00
= ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz00 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddNeg]) ).
thf(m__,conjecture,
( ( ( sdtpldt0 @ sz10 @ xp )
!= ( smndt0 @ sz10 ) )
| ( ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) )
!= ( smndt0 @ sz10 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( sdtpldt0 @ sz10 @ xp )
!= ( smndt0 @ sz10 ) )
| ( ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) )
!= ( smndt0 @ sz10 ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl123,plain,
( ( sdtpldt0 @ sz10 @ xp )
= ( smndt0 @ sz10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl185,plain,
! [X0: $i] :
( ~ ( aInteger0 @ xp )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl123,zip_derived_cl6]) ).
thf(m__2171,axiom,
( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ( xp != sz00 )
& ( aInteger0 @ xp ) ) ).
thf(zip_derived_cl117,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl2_004,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl196,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl117,zip_derived_cl2]) ).
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(zip_derived_cl247,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ sz10 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl196,zip_derived_cl7]) ).
thf(zip_derived_cl123_005,plain,
( ( sdtpldt0 @ sz10 @ xp )
= ( smndt0 @ sz10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl136,plain,
( ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ xp )
| ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl123,zip_derived_cl4]) ).
thf(zip_derived_cl2_006,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl117_007,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl142,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl259,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ sz10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl142]) ).
thf(zip_derived_cl260,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl259]) ).
thf(zip_derived_cl7_008,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl196_009,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl117,zip_derived_cl2]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( sz00
= ( sdtpldt0 @ ( smndt0 @ X0 ) @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddNeg]) ).
thf(zip_derived_cl215,plain,
( ~ ( aInteger0 @ sz10 )
| ( sz00
= ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ sz10 ) ) )
| ~ ( aInteger0 @ sz10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl196,zip_derived_cl11]) ).
thf(zip_derived_cl2_010,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl2_011,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl222,plain,
( sz00
= ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl237,plain,
( ~ ( aInteger0 @ xp )
| ~ ( aInteger0 @ sz10 )
| ( sz00
= ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ xp ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl222]) ).
thf(zip_derived_cl117_012,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl2_013,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl123_014,plain,
( ( sdtpldt0 @ sz10 @ xp )
= ( smndt0 @ sz10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl273,plain,
( sz00
= ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl117,zip_derived_cl2,zip_derived_cl123]) ).
thf(zip_derived_cl6_015,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_cl280,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) )
= ( sdtpldt0 @ sz00 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl273,zip_derived_cl6]) ).
thf(zip_derived_cl142_016,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl2_017,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl282,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) )
= ( sdtpldt0 @ sz00 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl280,zip_derived_cl142,zip_derived_cl2]) ).
thf(zip_derived_cl1027,plain,
( ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ ( smndt0 @ sz10 ) ) ) )
= ( sdtpldt0 @ sz00 @ ( smndt0 @ sz10 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl260,zip_derived_cl282]) ).
thf(zip_derived_cl142_018,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl142_019,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl196_020,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl117,zip_derived_cl2]) ).
thf(zip_derived_cl7_021,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl260_022,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl259]) ).
thf(zip_derived_cl336,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ xp )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ X0 @ xp ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl260]) ).
thf(zip_derived_cl117_023,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl339,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ X0 @ xp ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl336,zip_derived_cl117]) ).
thf(zip_derived_cl340,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ X0 @ xp ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl339]) ).
thf(zip_derived_cl196_024,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl117,zip_derived_cl2]) ).
thf(zip_derived_cl414,plain,
( ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ ( smndt0 @ sz10 ) ) )
= ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ sz10 ) @ xp ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl340,zip_derived_cl196]) ).
thf(zip_derived_cl142_025,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl142_026,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl439,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ ( smndt0 @ sz10 ) ) )
= ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ sz10 ) @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl414,zip_derived_cl142,zip_derived_cl142]) ).
thf(zip_derived_cl448,plain,
( ~ ( aInteger0 @ xp )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ ( smndt0 @ sz10 ) ) )
= ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl196,zip_derived_cl439]) ).
thf(zip_derived_cl117_027,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl451,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ ( smndt0 @ sz10 ) ) )
= ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl117]) ).
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_cl260_028,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl259]) ).
thf(zip_derived_cl338,plain,
( ~ ( aInteger0 @ xp )
| ( ( sdtpldt0 @ sz10 @ xp )
= ( sdtpldt0 @ sz00 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl260]) ).
thf(zip_derived_cl117_029,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl123_030,plain,
( ( sdtpldt0 @ sz10 @ xp )
= ( smndt0 @ sz10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mIntZero,axiom,
aInteger0 @ sz00 ).
thf(zip_derived_cl1,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl343,plain,
( ( smndt0 @ sz10 )
= ( sdtpldt0 @ sz00 @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl338,zip_derived_cl117,zip_derived_cl123,zip_derived_cl1]) ).
thf(zip_derived_cl1040,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) ) )
= ( smndt0 @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1027,zip_derived_cl142,zip_derived_cl142,zip_derived_cl451,zip_derived_cl343]) ).
thf(zip_derived_cl6_031,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_cl1084,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) ) )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) ) @ X0 ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1040,zip_derived_cl6]) ).
thf(zip_derived_cl451_032,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ ( smndt0 @ sz10 ) ) )
= ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl117]) ).
thf(zip_derived_cl196_033,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl117,zip_derived_cl2]) ).
thf(zip_derived_cl4_034,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntPlus]) ).
thf(zip_derived_cl211,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ X0 )
| ( aInteger0 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl196,zip_derived_cl4]) ).
thf(zip_derived_cl142_035,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl216,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 )
| ( aInteger0 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl211,zip_derived_cl142]) ).
thf(zip_derived_cl217,plain,
! [X0: $i] :
( ( aInteger0 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl216]) ).
thf(zip_derived_cl786,plain,
( ( aInteger0 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl451,zip_derived_cl217]) ).
thf(zip_derived_cl142_036,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl800,plain,
aInteger0 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl786,zip_derived_cl142]) ).
thf(zip_derived_cl2_037,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl1094,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) ) @ X0 ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1084,zip_derived_cl800,zip_derived_cl2]) ).
thf(zip_derived_cl439_038,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ ( smndt0 @ sz10 ) ) )
= ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ sz10 ) @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl414,zip_derived_cl142,zip_derived_cl142]) ).
thf(zip_derived_cl451_039,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ ( smndt0 @ sz10 ) ) )
= ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl117]) ).
thf(zip_derived_cl454,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) )
= ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ sz10 ) @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl439,zip_derived_cl451]) ).
thf(zip_derived_cl282_040,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) )
= ( sdtpldt0 @ sz00 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl280,zip_derived_cl142,zip_derived_cl2]) ).
thf(zip_derived_cl1022,plain,
( ~ ( aInteger0 @ xp )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) )
= ( sdtpldt0 @ sz00 @ xp ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl454,zip_derived_cl282]) ).
thf(zip_derived_cl117_041,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl1033,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) )
= ( sdtpldt0 @ sz00 @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1022,zip_derived_cl117]) ).
thf(zip_derived_cl1262,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( sdtpldt0 @ sz00 @ xp ) @ X0 ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1094,zip_derived_cl1033]) ).
thf(zip_derived_cl1270,plain,
( ~ ( aInteger0 @ ( sdtpldt0 @ sz00 @ xp ) )
| ~ ( aInteger0 @ ( smndt0 @ ( sdtpldt0 @ sz00 @ xp ) ) )
| ( ( sdtpldt0 @ sz10 @ sz00 )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ ( smndt0 @ ( sdtpldt0 @ sz00 @ xp ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl1262]) ).
thf(zip_derived_cl282_042,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) )
= ( sdtpldt0 @ sz00 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl280,zip_derived_cl142,zip_derived_cl2]) ).
thf(zip_derived_cl340_043,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ X0 @ xp ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl339]) ).
thf(zip_derived_cl4_044,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntPlus]) ).
thf(zip_derived_cl408,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ( aInteger0 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ X0 @ xp ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl340,zip_derived_cl4]) ).
thf(zip_derived_cl142_045,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl429,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 )
| ( aInteger0 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ X0 @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl408,zip_derived_cl142]) ).
thf(zip_derived_cl430,plain,
! [X0: $i] :
( ( aInteger0 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ X0 @ xp ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl429]) ).
thf(zip_derived_cl1020,plain,
( ~ ( aInteger0 @ xp )
| ( aInteger0 @ ( sdtpldt0 @ sz00 @ xp ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl282,zip_derived_cl430]) ).
thf(zip_derived_cl117_046,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl142_047,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl1047,plain,
aInteger0 @ ( sdtpldt0 @ sz00 @ xp ),
inference(demod,[status(thm)],[zip_derived_cl1020,zip_derived_cl117,zip_derived_cl142]) ).
thf(zip_derived_cl11_048,plain,
! [X0: $i] :
( ( sz00
= ( sdtpldt0 @ ( smndt0 @ X0 ) @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddNeg]) ).
thf(zip_derived_cl282_049,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) )
= ( sdtpldt0 @ sz00 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl280,zip_derived_cl142,zip_derived_cl2]) ).
thf(zip_derived_cl1029,plain,
( ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ sz10 )
| ( ( sdtpldt0 @ sz10 @ sz00 )
= ( sdtpldt0 @ sz00 @ sz10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl282]) ).
thf(zip_derived_cl2_050,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl2_051,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl1042,plain,
( ( sdtpldt0 @ sz10 @ sz00 )
= ( sdtpldt0 @ sz00 @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1029,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl1042_052,plain,
( ( sdtpldt0 @ sz10 @ sz00 )
= ( sdtpldt0 @ sz00 @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1029,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl8_053,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl1065,plain,
( ( ( sdtpldt0 @ sz00 @ sz10 )
= sz10 )
| ~ ( aInteger0 @ sz10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1042,zip_derived_cl8]) ).
thf(zip_derived_cl2_054,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl1068,plain,
( ( sdtpldt0 @ sz00 @ sz10 )
= sz10 ),
inference(demod,[status(thm)],[zip_derived_cl1065,zip_derived_cl2]) ).
thf(zip_derived_cl1070,plain,
( ( sdtpldt0 @ sz10 @ sz00 )
= sz10 ),
inference(demod,[status(thm)],[zip_derived_cl1042,zip_derived_cl1068]) ).
thf(zip_derived_cl1280,plain,
( ~ ( aInteger0 @ ( smndt0 @ ( sdtpldt0 @ sz00 @ xp ) ) )
| ( sz10
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ ( smndt0 @ ( sdtpldt0 @ sz00 @ xp ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1270,zip_derived_cl1047,zip_derived_cl1070]) ).
thf(zip_derived_cl1033_055,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) )
= ( sdtpldt0 @ sz00 @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1022,zip_derived_cl117]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( X0
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl340_056,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ X0 @ xp ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl339]) ).
thf(zip_derived_cl1262_057,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( sdtpldt0 @ sz00 @ xp ) @ X0 ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1094,zip_derived_cl1033]) ).
thf(zip_derived_cl1272,plain,
( ~ ( aInteger0 @ ( sdtpldt0 @ sz00 @ xp ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( sdtpldt0 @ sz00 @ xp ) @ xp ) ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ ( smndt0 @ sz10 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl340,zip_derived_cl1262]) ).
thf(zip_derived_cl1047_058,plain,
aInteger0 @ ( sdtpldt0 @ sz00 @ xp ),
inference(demod,[status(thm)],[zip_derived_cl1020,zip_derived_cl117,zip_derived_cl142]) ).
thf(zip_derived_cl142_059,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl1282,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( sdtpldt0 @ sz00 @ xp ) @ xp ) ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1272,zip_derived_cl1047,zip_derived_cl142]) ).
thf(zip_derived_cl260_060,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl259]) ).
thf(zip_derived_cl1262_061,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( sdtpldt0 @ sz00 @ xp ) @ X0 ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1094,zip_derived_cl1033]) ).
thf(zip_derived_cl1271,plain,
( ~ ( aInteger0 @ ( sdtpldt0 @ sz00 @ xp ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ ( sdtpldt0 @ sz00 @ xp ) ) ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ ( smndt0 @ sz10 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl260,zip_derived_cl1262]) ).
thf(zip_derived_cl1047_062,plain,
aInteger0 @ ( sdtpldt0 @ sz00 @ xp ),
inference(demod,[status(thm)],[zip_derived_cl1020,zip_derived_cl117,zip_derived_cl142]) ).
thf(zip_derived_cl142_063,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl1281,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ ( sdtpldt0 @ sz00 @ xp ) ) ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1271,zip_derived_cl1047,zip_derived_cl142]) ).
thf(zip_derived_cl1262_064,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( sdtpldt0 @ sz00 @ xp ) @ X0 ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1094,zip_derived_cl1033]) ).
thf(zip_derived_cl340_065,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ X0 @ xp ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl339]) ).
thf(zip_derived_cl260_066,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl259]) ).
thf(zip_derived_cl412,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
= ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ X0 @ xp ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl340,zip_derived_cl260]) ).
thf(zip_derived_cl437,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
= ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ X0 @ xp ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl412]) ).
thf(zip_derived_cl1266,plain,
( ~ ( aInteger0 @ xp )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ ( sdtpldt0 @ sz00 @ xp ) ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ xp ) )
| ~ ( aInteger0 @ ( sdtpldt0 @ sz00 @ xp ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1262,zip_derived_cl437]) ).
thf(zip_derived_cl117_067,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl1047_068,plain,
aInteger0 @ ( sdtpldt0 @ sz00 @ xp ),
inference(demod,[status(thm)],[zip_derived_cl1020,zip_derived_cl117,zip_derived_cl142]) ).
thf(zip_derived_cl1289,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ ( sdtpldt0 @ sz00 @ xp ) ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1266,zip_derived_cl117,zip_derived_cl1047]) ).
thf(zip_derived_cl9_069,plain,
! [X0: $i] :
( ( X0
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl1289_070,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ ( sdtpldt0 @ sz00 @ xp ) ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1266,zip_derived_cl117,zip_derived_cl1047]) ).
thf(zip_derived_cl1323,plain,
( ~ ( aInteger0 @ xp )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ xp ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl1289]) ).
thf(zip_derived_cl117_071,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl1324,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1323,zip_derived_cl117]) ).
thf(zip_derived_cl1330,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ ( sdtpldt0 @ sz00 @ xp ) ) )
= ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1289,zip_derived_cl1324]) ).
thf(zip_derived_cl1033_072,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) )
= ( sdtpldt0 @ sz00 @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1022,zip_derived_cl117]) ).
thf(zip_derived_cl1370,plain,
( ( sdtpldt0 @ sz00 @ xp )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1281,zip_derived_cl1330,zip_derived_cl1033]) ).
thf(zip_derived_cl1397,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( sdtpldt0 @ sz00 @ xp ) @ xp ) ) )
= ( sdtpldt0 @ sz00 @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1282,zip_derived_cl1370]) ).
thf(zip_derived_cl1405,plain,
( ~ ( aInteger0 @ xp )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) )
= xp ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl1397]) ).
thf(zip_derived_cl117_073,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl1411,plain,
( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ xp ) ) )
= xp ),
inference(demod,[status(thm)],[zip_derived_cl1405,zip_derived_cl117]) ).
thf(zip_derived_cl1414,plain,
( xp
= ( sdtpldt0 @ sz00 @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl1411]) ).
thf(zip_derived_cl1414_074,plain,
( xp
= ( sdtpldt0 @ sz00 @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl1411]) ).
thf(zip_derived_cl1525,plain,
( ~ ( aInteger0 @ ( smndt0 @ xp ) )
| ( sz10
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ ( smndt0 @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1280,zip_derived_cl1414,zip_derived_cl1414]) ).
thf(zip_derived_cl1526,plain,
( ~ ( aInteger0 @ xp )
| ( sz10
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ ( smndt0 @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1525]) ).
thf(zip_derived_cl117_075,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl1527,plain,
( sz10
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ ( smndt0 @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1526,zip_derived_cl117]) ).
thf(zip_derived_cl282_076,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) )
= ( sdtpldt0 @ sz00 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl280,zip_derived_cl142,zip_derived_cl2]) ).
thf(zip_derived_cl1533,plain,
( ~ ( aInteger0 @ ( smndt0 @ xp ) )
| ( ( sdtpldt0 @ sz10 @ sz10 )
= ( sdtpldt0 @ sz00 @ ( smndt0 @ xp ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl282]) ).
thf(zip_derived_cl1683,plain,
( ~ ( aInteger0 @ xp )
| ( ( sdtpldt0 @ sz10 @ sz10 )
= ( sdtpldt0 @ sz00 @ ( smndt0 @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1533]) ).
thf(zip_derived_cl117_077,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl1684,plain,
( ( sdtpldt0 @ sz10 @ sz10 )
= ( sdtpldt0 @ sz00 @ ( smndt0 @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1683,zip_derived_cl117]) ).
thf(zip_derived_cl9_078,plain,
! [X0: $i] :
( ( X0
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl1689,plain,
( ( ( smndt0 @ xp )
= ( sdtpldt0 @ sz10 @ sz10 ) )
| ~ ( aInteger0 @ ( smndt0 @ xp ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1684,zip_derived_cl9]) ).
thf(zip_derived_cl1695,plain,
( ~ ( aInteger0 @ xp )
| ( ( smndt0 @ xp )
= ( sdtpldt0 @ sz10 @ sz10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1689]) ).
thf(zip_derived_cl117_079,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl1696,plain,
( ( smndt0 @ xp )
= ( sdtpldt0 @ sz10 @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1695,zip_derived_cl117]) ).
thf(zip_derived_cl260_080,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl259]) ).
thf(zip_derived_cl122,plain,
( ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) )
= ( smndt0 @ sz10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_081,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_cl184,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( smndt0 @ xp ) )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ xp ) @ X0 ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl122,zip_derived_cl6]) ).
thf(zip_derived_cl2_082,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl195,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( smndt0 @ xp ) )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ xp ) @ X0 ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl2]) ).
thf(zip_derived_cl1696_083,plain,
( ( smndt0 @ xp )
= ( sdtpldt0 @ sz10 @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1695,zip_derived_cl117]) ).
thf(zip_derived_cl4_084,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntPlus]) ).
thf(zip_derived_cl1698,plain,
( ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ sz10 )
| ( aInteger0 @ ( smndt0 @ xp ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1696,zip_derived_cl4]) ).
thf(zip_derived_cl2_085,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl2_086,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl1704,plain,
aInteger0 @ ( smndt0 @ xp ),
inference(demod,[status(thm)],[zip_derived_cl1698,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl3070,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ xp ) @ X0 ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl1704]) ).
thf(zip_derived_cl3089,plain,
( ~ ( aInteger0 @ ( smndt0 @ xp ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ ( smndt0 @ xp ) ) ) )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ ( smndt0 @ sz10 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl260,zip_derived_cl3070]) ).
thf(zip_derived_cl1704_087,plain,
aInteger0 @ ( smndt0 @ xp ),
inference(demod,[status(thm)],[zip_derived_cl1698,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl142_088,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl1696_089,plain,
( ( smndt0 @ xp )
= ( sdtpldt0 @ sz10 @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1695,zip_derived_cl117]) ).
thf(zip_derived_cl6_090,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_cl1700,plain,
! [X0: $i] :
( ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ X0 ) )
= ( sdtpldt0 @ ( smndt0 @ xp ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1696,zip_derived_cl6]) ).
thf(zip_derived_cl2_091,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl2_092,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl1706,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ X0 ) )
= ( sdtpldt0 @ ( smndt0 @ xp ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1700,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl7_093,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl1722,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( smndt0 @ xp ) )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ X0 ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ xp ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1706,zip_derived_cl7]) ).
thf(zip_derived_cl1704_094,plain,
aInteger0 @ ( smndt0 @ xp ),
inference(demod,[status(thm)],[zip_derived_cl1698,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl1741,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ X0 ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1722,zip_derived_cl1704]) ).
thf(zip_derived_cl1742,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ X0 ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ xp ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1741]) ).
thf(zip_derived_cl1370_095,plain,
( ( sdtpldt0 @ sz00 @ xp )
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1281,zip_derived_cl1330,zip_derived_cl1033]) ).
thf(zip_derived_cl1414_096,plain,
( xp
= ( sdtpldt0 @ sz00 @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl1411]) ).
thf(zip_derived_cl1430,plain,
( xp
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1370,zip_derived_cl1414]) ).
thf(zip_derived_cl6_097,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_cl1445,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ ( smndt0 @ sz10 ) @ ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) )
= ( sdtpldt0 @ xp @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1430,zip_derived_cl6]) ).
thf(zip_derived_cl142_098,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl142_099,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl1458,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ ( smndt0 @ sz10 ) @ ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) )
= ( sdtpldt0 @ xp @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1445,zip_derived_cl142,zip_derived_cl142]) ).
thf(zip_derived_cl2207,plain,
( ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ ( smndt0 @ xp ) )
| ( ( sdtpldt0 @ ( smndt0 @ sz10 ) @ ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ) )
= ( sdtpldt0 @ xp @ ( smndt0 @ xp ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1742,zip_derived_cl1458]) ).
thf(zip_derived_cl142_100,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl1704_101,plain,
aInteger0 @ ( smndt0 @ xp ),
inference(demod,[status(thm)],[zip_derived_cl1698,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl273_102,plain,
( sz00
= ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl117,zip_derived_cl2,zip_derived_cl123]) ).
thf(zip_derived_cl1070_103,plain,
( ( sdtpldt0 @ sz10 @ sz00 )
= sz10 ),
inference(demod,[status(thm)],[zip_derived_cl1042,zip_derived_cl1068]) ).
thf(zip_derived_cl3_104,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl10_105,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz00 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddNeg]) ).
thf(zip_derived_cl282_106,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) )
= ( sdtpldt0 @ sz00 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl280,zip_derived_cl142,zip_derived_cl2]) ).
thf(zip_derived_cl1026,plain,
( ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ ( smndt0 @ ( smndt0 @ sz10 ) ) )
| ( ( sdtpldt0 @ sz10 @ sz00 )
= ( sdtpldt0 @ sz00 @ ( smndt0 @ ( smndt0 @ sz10 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl282]) ).
thf(zip_derived_cl142_107,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl1039,plain,
( ~ ( aInteger0 @ ( smndt0 @ ( smndt0 @ sz10 ) ) )
| ( ( sdtpldt0 @ sz10 @ sz00 )
= ( sdtpldt0 @ sz00 @ ( smndt0 @ ( smndt0 @ sz10 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1026,zip_derived_cl142]) ).
thf(zip_derived_cl1070_108,plain,
( ( sdtpldt0 @ sz10 @ sz00 )
= sz10 ),
inference(demod,[status(thm)],[zip_derived_cl1042,zip_derived_cl1068]) ).
thf(zip_derived_cl1208,plain,
( ~ ( aInteger0 @ ( smndt0 @ ( smndt0 @ sz10 ) ) )
| ( sz10
= ( sdtpldt0 @ sz00 @ ( smndt0 @ ( smndt0 @ sz10 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1039,zip_derived_cl1070]) ).
thf(zip_derived_cl9_109,plain,
! [X0: $i] :
( ( X0
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl1213,plain,
( ~ ( aInteger0 @ ( smndt0 @ ( smndt0 @ sz10 ) ) )
| ( ( smndt0 @ ( smndt0 @ sz10 ) )
= sz10 )
| ~ ( aInteger0 @ ( smndt0 @ ( smndt0 @ sz10 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1208,zip_derived_cl9]) ).
thf(zip_derived_cl1221,plain,
( ( ( smndt0 @ ( smndt0 @ sz10 ) )
= sz10 )
| ~ ( aInteger0 @ ( smndt0 @ ( smndt0 @ sz10 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1213]) ).
thf(zip_derived_cl1230,plain,
( ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ( ( smndt0 @ ( smndt0 @ sz10 ) )
= sz10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1221]) ).
thf(zip_derived_cl142_110,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl1231,plain,
( ( smndt0 @ ( smndt0 @ sz10 ) )
= sz10 ),
inference(demod,[status(thm)],[zip_derived_cl1230,zip_derived_cl142]) ).
thf(zip_derived_cl10_111,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz00 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddNeg]) ).
thf(zip_derived_cl1237,plain,
( ( ( sdtpldt0 @ ( smndt0 @ sz10 ) @ sz10 )
= sz00 )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1231,zip_derived_cl10]) ).
thf(zip_derived_cl142_112,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl2,zip_derived_cl117]) ).
thf(zip_derived_cl1242,plain,
( ( sdtpldt0 @ ( smndt0 @ sz10 ) @ sz10 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl1237,zip_derived_cl142]) ).
thf(zip_derived_cl2226,plain,
( sz00
= ( sdtpldt0 @ xp @ ( smndt0 @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2207,zip_derived_cl142,zip_derived_cl1704,zip_derived_cl273,zip_derived_cl1070,zip_derived_cl1242]) ).
thf(zip_derived_cl1070_113,plain,
( ( sdtpldt0 @ sz10 @ sz00 )
= sz10 ),
inference(demod,[status(thm)],[zip_derived_cl1042,zip_derived_cl1068]) ).
thf(zip_derived_cl1696_114,plain,
( ( smndt0 @ xp )
= ( sdtpldt0 @ sz10 @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1695,zip_derived_cl117]) ).
thf(zip_derived_cl1430_115,plain,
( xp
= ( sdtpldt0 @ ( smndt0 @ sz10 ) @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1370,zip_derived_cl1414]) ).
thf(zip_derived_cl3103,plain,
( ( smndt0 @ xp )
= xp ),
inference(demod,[status(thm)],[zip_derived_cl3089,zip_derived_cl1704,zip_derived_cl142,zip_derived_cl2226,zip_derived_cl1070,zip_derived_cl1696,zip_derived_cl1430]) ).
thf(zip_derived_cl3126,plain,
( xp
= ( sdtpldt0 @ sz10 @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1696,zip_derived_cl3103]) ).
thf(zip_derived_cl2_116,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl11932,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ X0 @ xp )
= ( sdtpldt0 @ X0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl11878,zip_derived_cl3126,zip_derived_cl2]) ).
thf(zip_derived_cl11933,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ xp )
= ( sdtpldt0 @ X0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11932]) ).
thf(zip_derived_cl2226_117,plain,
( sz00
= ( sdtpldt0 @ xp @ ( smndt0 @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2207,zip_derived_cl142,zip_derived_cl1704,zip_derived_cl273,zip_derived_cl1070,zip_derived_cl1242]) ).
thf(zip_derived_cl3103_118,plain,
( ( smndt0 @ xp )
= xp ),
inference(demod,[status(thm)],[zip_derived_cl3089,zip_derived_cl1704,zip_derived_cl142,zip_derived_cl2226,zip_derived_cl1070,zip_derived_cl1696,zip_derived_cl1430]) ).
thf(zip_derived_cl3138,plain,
( sz00
= ( sdtpldt0 @ xp @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl2226,zip_derived_cl3103]) ).
thf(zip_derived_cl12121,plain,
( ~ ( aInteger0 @ xp )
| ( sz00
= ( sdtasdt0 @ xp @ xp ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11933,zip_derived_cl3138]) ).
thf(zip_derived_cl117_119,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl12226,plain,
( sz00
= ( sdtasdt0 @ xp @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl12121,zip_derived_cl117]) ).
thf(mZeroDiv,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
= sz00 )
=> ( ( W0 = sz00 )
| ( W1 = sz00 ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( X1 = sz00 )
| ( ( sdtasdt0 @ X0 @ X1 )
!= sz00 ) ),
inference(cnf,[status(esa)],[mZeroDiv]) ).
thf(zip_derived_cl12518,plain,
( ( xp = sz00 )
| ~ ( aInteger0 @ xp )
| ~ ( aInteger0 @ xp )
| ( xp = sz00 )
| ( sz00 != sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12226,zip_derived_cl22]) ).
thf(zip_derived_cl117_120,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl117_121,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl12546,plain,
( ( xp = sz00 )
| ( xp = sz00 )
| ( sz00 != sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl12518,zip_derived_cl117,zip_derived_cl117]) ).
thf(zip_derived_cl12547,plain,
xp = sz00,
inference(simplify,[status(thm)],[zip_derived_cl12546]) ).
thf(zip_derived_cl116,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl12548,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12547,zip_derived_cl116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM454+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.inRxM4P3by true
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 12:54:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.21/0.37 % Python version: Python 3.6.8
% 0.21/0.37 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.32/2.01 % Solved by fo/fo13.sh.
% 9.32/2.01 % done 1222 iterations in 1.198s
% 9.32/2.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.32/2.01 % SZS output start Refutation
% See solution above
% 9.32/2.02
% 9.32/2.02
% 9.32/2.02 % Terminating...
% 9.87/2.10 % Runner terminated.
% 9.87/2.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------