TSTP Solution File: NUM527+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM527+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dID7ldJqm9 true
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 12:42:07 EDT 2023
% Result : Theorem 236.35s 34.26s
% Output : Refutation 236.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 23
% Syntax : Number of formulae : 205 ( 81 unt; 9 typ; 0 def)
% Number of atoms : 525 ( 173 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1759 ( 266 ~; 274 |; 32 &;1164 @)
% ( 1 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 136 ( 0 ^; 135 !; 1 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(xn_type,type,
xn: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xm_type,type,
xm: $i ).
thf(xp_type,type,
xp: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(m__3014,axiom,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ) ).
thf(zip_derived_cl34,plain,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(cnf,[status(esa)],[m__3014]) ).
thf(mSortsB_02,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(mLEAsym,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLEAsym]) ).
thf(m__2987,axiom,
( ( xp != sz00 )
& ( xm != sz00 )
& ( xn != sz00 )
& ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl32,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(m__,conjecture,
( ( sdtlseqdt0 @ xn @ xm )
=> ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xn ) @ ( sdtasdt0 @ xm @ xm ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( sdtlseqdt0 @ xn @ xm )
=> ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xn ) @ ( sdtasdt0 @ xm @ xm ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl38,plain,
sdtlseqdt0 @ xn @ xm,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mLETran,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( sdtlseqdt0 @ W0 @ W2 ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( sdtlseqdt0 @ X0 @ X2 )
| ~ ( sdtlseqdt0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[mLETran]) ).
thf(zip_derived_cl94,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xm @ X0 )
| ( sdtlseqdt0 @ xn @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl15]) ).
thf(zip_derived_cl33,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl32_001,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl101,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xm @ X0 )
| ( sdtlseqdt0 @ xn @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl33,zip_derived_cl32]) ).
thf(zip_derived_cl31,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(mMonMul2,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( W0 != sz00 )
=> ( sdtlseqdt0 @ W1 @ ( sdtasdt0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMonMul2]) ).
thf(zip_derived_cl1784,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ X0 @ xp ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xp = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl26]) ).
thf(zip_derived_cl28,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1789,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ X0 @ xp ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1784,zip_derived_cl28]) ).
thf(zip_derived_cl3704,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ( sdtlseqdt0 @ xn @ ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup+',[status(thm)],[zip_derived_cl101,zip_derived_cl1789]) ).
thf(zip_derived_cl32_002,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl3713,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ( sdtlseqdt0 @ xn @ ( sdtasdt0 @ xm @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3704,zip_derived_cl32]) ).
thf(mMonMul,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( W0 != sz00 )
& ( W1 != W2 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) )
& ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X0 @ X1 ) @ ( sdtasdt0 @ X0 @ X2 ) )
| ~ ( sdtlseqdt0 @ X1 @ X2 )
| ( X1 = X2 ) ),
inference(cnf,[status(esa)],[mMonMul]) ).
thf(zip_derived_cl3895,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ( xn
= ( sdtasdt0 @ xm @ xp ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X0 @ xn ) @ ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xm @ xp ) ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xn )
| ( X0 = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3713,zip_derived_cl23]) ).
thf(zip_derived_cl33_003,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl3916,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ( xn
= ( sdtasdt0 @ xm @ xp ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X0 @ xn ) @ ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xm @ xp ) ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl3895,zip_derived_cl33]) ).
thf(zip_derived_cl3917,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X0 @ xn ) @ ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xm @ xp ) ) )
| ( xn
= ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3916]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(mMulAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mMulAsso]) ).
thf(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl289,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) )
= ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X2 @ X1 ) ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X2 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl308,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X2 @ X1 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) )
= ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X2 @ X1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl289]) ).
thf(zip_derived_cl0_005,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl7319,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) )
= ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X2 @ X1 ) ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl308,zip_derived_cl0]) ).
thf(zip_derived_cl34_006,plain,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(cnf,[status(esa)],[m__3014]) ).
thf(zip_derived_cl7380,plain,
( ( ( sdtasdt0 @ xm @ ( sdtasdt0 @ xm @ xp ) )
= ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl7319,zip_derived_cl34]) ).
thf(zip_derived_cl32_007,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl32_008,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl31_009,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl7586,plain,
( ( sdtasdt0 @ xm @ ( sdtasdt0 @ xm @ xp ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl7380,zip_derived_cl32,zip_derived_cl32,zip_derived_cl31]) ).
thf(zip_derived_cl7319_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) )
= ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X2 @ X1 ) ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl308,zip_derived_cl0]) ).
thf(zip_derived_cl34_011,plain,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(cnf,[status(esa)],[m__3014]) ).
thf(zip_derived_cl7448,plain,
( ( ( sdtasdt0 @ xm @ ( sdtasdt0 @ xp @ xm ) )
= ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup+',[status(thm)],[zip_derived_cl7319,zip_derived_cl34]) ).
thf(zip_derived_cl32_012,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl31_013,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl32_014,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl7657,plain,
( ( sdtasdt0 @ xm @ ( sdtasdt0 @ xp @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl7448,zip_derived_cl32,zip_derived_cl31,zip_derived_cl32]) ).
thf(zip_derived_cl0_015,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(mMulCanc,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( W0 != sz00 )
=> ! [W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W0 @ W2 ) )
| ( ( sdtasdt0 @ W1 @ W0 )
= ( sdtasdt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( ( sdtasdt0 @ X0 @ X2 )
!= ( sdtasdt0 @ X0 @ X1 ) )
| ( X2 = X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulCanc]) ).
thf(zip_derived_cl690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X3 )
| ( X3
= ( sdtasdt0 @ X1 @ X0 ) )
| ( ( sdtasdt0 @ X2 @ X3 )
!= ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) ) )
| ( X2 = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl8]) ).
thf(zip_derived_cl22556,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xm @ X0 )
!= ( sdtasdt0 @ xn @ xn ) )
| ( xm = sz00 )
| ( X0
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl7657,zip_derived_cl690]) ).
thf(zip_derived_cl32_016,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl31_017,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl32_018,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl22637,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xm @ X0 )
!= ( sdtasdt0 @ xn @ xn ) )
| ( xm = sz00 )
| ( X0
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl22556,zip_derived_cl32,zip_derived_cl31,zip_derived_cl32]) ).
thf(zip_derived_cl29,plain,
xm != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl22638,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xm @ X0 )
!= ( sdtasdt0 @ xn @ xn ) )
| ( X0
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22637,zip_derived_cl29]) ).
thf(zip_derived_cl42885,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ( ( sdtasdt0 @ xm @ xp )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7586,zip_derived_cl22638]) ).
thf(zip_derived_cl42901,plain,
( ( ( sdtasdt0 @ xm @ xp )
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl42885]) ).
thf(zip_derived_cl43393,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtasdt0 @ xm @ xp )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl42901]) ).
thf(zip_derived_cl31_019,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl32_020,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl43394,plain,
( ( sdtasdt0 @ xm @ xp )
= ( sdtasdt0 @ xp @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl43393,zip_derived_cl31,zip_derived_cl32]) ).
thf(zip_derived_cl0_021,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl43526,plain,
( ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl43394,zip_derived_cl0]) ).
thf(zip_derived_cl32_022,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl31_023,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl43577,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ),
inference(demod,[status(thm)],[zip_derived_cl43526,zip_derived_cl32,zip_derived_cl31]) ).
thf(zip_derived_cl240692,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X0 @ xn ) @ ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xm @ xp ) ) )
| ( xn
= ( sdtasdt0 @ xm @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3917,zip_derived_cl43577]) ).
thf(zip_derived_cl240705,plain,
( ( xn
= ( sdtasdt0 @ xm @ xp ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xm @ xn ) @ ( sdtasdt0 @ xm @ ( sdtasdt0 @ xm @ xp ) ) )
| ( xm = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl240692]) ).
thf(zip_derived_cl7586_024,plain,
( ( sdtasdt0 @ xm @ ( sdtasdt0 @ xm @ xp ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl7380,zip_derived_cl32,zip_derived_cl32,zip_derived_cl31]) ).
thf(zip_derived_cl240711,plain,
( ( xn
= ( sdtasdt0 @ xm @ xp ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xm @ xn ) @ ( sdtasdt0 @ xn @ xn ) )
| ( xm = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl240705,zip_derived_cl7586]) ).
thf(zip_derived_cl29_025,plain,
xm != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl240712,plain,
( ( xn
= ( sdtasdt0 @ xm @ xp ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xm @ xn ) @ ( sdtasdt0 @ xn @ xn ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl240711,zip_derived_cl29]) ).
thf(zip_derived_cl240839,plain,
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xn ) @ ( sdtasdt0 @ xm @ xn ) )
| ( ( sdtasdt0 @ xm @ xn )
= ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xn ) )
| ( xn
= ( sdtasdt0 @ xm @ xp ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl240712]) ).
thf(zip_derived_cl0_026,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl34_027,plain,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(cnf,[status(esa)],[m__3014]) ).
thf(zip_derived_cl0_028,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl40,plain,
( ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl0]) ).
thf(zip_derived_cl31_029,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl41,plain,
( ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl31]) ).
thf(zip_derived_cl43,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xm )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl41]) ).
thf(zip_derived_cl32_030,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl32_031,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl44,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl32,zip_derived_cl32]) ).
thf(zip_derived_cl240851,plain,
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xn ) @ ( sdtasdt0 @ xm @ xn ) )
| ( ( sdtasdt0 @ xm @ xn )
= ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xn ) )
| ( xn
= ( sdtasdt0 @ xm @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl240839,zip_derived_cl44]) ).
thf(zip_derived_cl0_032,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl7657_033,plain,
( ( sdtasdt0 @ xm @ ( sdtasdt0 @ xp @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl7448,zip_derived_cl32,zip_derived_cl31,zip_derived_cl32]) ).
thf(zip_derived_cl32_034,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl33_035,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl8_036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( ( sdtasdt0 @ X0 @ X2 )
!= ( sdtasdt0 @ X0 @ X1 ) )
| ( X2 = X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulCanc]) ).
thf(zip_derived_cl693,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = xn )
| ( ( sdtasdt0 @ X0 @ X1 )
!= ( sdtasdt0 @ X0 @ xn ) )
| ( X0 = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl8]) ).
thf(zip_derived_cl23025,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( ( sdtasdt0 @ xm @ X0 )
!= ( sdtasdt0 @ xm @ xn ) )
| ( X0 = xn )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl693]) ).
thf(zip_derived_cl29_037,plain,
xm != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl23030,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xm @ X0 )
!= ( sdtasdt0 @ xm @ xn ) )
| ( X0 = xn )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23025,zip_derived_cl29]) ).
thf(zip_derived_cl23047,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xm @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl7657,zip_derived_cl23030]) ).
thf(zip_derived_cl23182,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp )
| ( ( sdtasdt0 @ xp @ xm )
= xn )
| ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xm @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl23047]) ).
thf(zip_derived_cl32_038,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl31_039,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl23186,plain,
( ( ( sdtasdt0 @ xp @ xm )
= xn )
| ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xm @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23182,zip_derived_cl32,zip_derived_cl31]) ).
thf(zip_derived_cl1_040,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl1789_041,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ X0 @ xp ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1784,zip_derived_cl28]) ).
thf(zip_derived_cl3706,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl1789]) ).
thf(zip_derived_cl31_042,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl3715,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3706,zip_derived_cl31]) ).
thf(zip_derived_cl3716,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ xp @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3715]) ).
thf(zip_derived_cl23235,plain,
( ( sdtlseqdt0 @ xm @ xn )
| ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xm @ xn ) )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup+',[status(thm)],[zip_derived_cl23186,zip_derived_cl3716]) ).
thf(zip_derived_cl32_043,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl23329,plain,
( ( sdtlseqdt0 @ xm @ xn )
| ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xm @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23235,zip_derived_cl32]) ).
thf(mDefLE,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( ( sdtpldt0 @ W0 @ W2 )
= W1 )
& ( aNaturalNumber0 @ W2 ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sk_ @ X1 @ X0 ) )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefLE]) ).
thf(zip_derived_cl0_044,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl34_045,plain,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(cnf,[status(esa)],[m__3014]) ).
thf(zip_derived_cl3716_046,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ xp @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3715]) ).
thf(zip_derived_cl5826,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xm @ xm ) @ ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl3716]) ).
thf(mMonAdd,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != W1 )
& ( sdtlseqdt0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( aNaturalNumber0 @ W2 )
=> ( ( ( sdtpldt0 @ W2 @ W0 )
!= ( sdtpldt0 @ W2 @ W1 ) )
& ( sdtlseqdt0 @ ( sdtpldt0 @ W2 @ W0 ) @ ( sdtpldt0 @ W2 @ W1 ) )
& ( ( sdtpldt0 @ W0 @ W2 )
!= ( sdtpldt0 @ W1 @ W2 ) )
& ( sdtlseqdt0 @ ( sdtpldt0 @ W0 @ W2 ) @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X2 @ X0 )
!= ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( sdtlseqdt0 @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[mMonAdd]) ).
thf(zip_derived_cl5876,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xm @ xm ) )
!= ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xn @ xn ) ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5826,zip_derived_cl18]) ).
thf(zip_derived_cl44_047,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl32,zip_derived_cl32]) ).
thf(zip_derived_cl5911,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xm @ xm ) )
!= ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xn @ xn ) ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5876,zip_derived_cl44]) ).
thf(zip_derived_cl5912,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xm @ xm ) )
!= ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xn @ xn ) ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5911]) ).
thf(zip_derived_cl0_048,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(mLETotal,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( ( W1 != W0 )
& ( sdtlseqdt0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(zip_derived_cl39,plain,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xn ) @ ( sdtasdt0 @ xm @ xm ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50,plain,
( ( ( sdtasdt0 @ xm @ xm )
!= ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl39]) ).
thf(zip_derived_cl44_049,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl32,zip_derived_cl32]) ).
thf(zip_derived_cl51,plain,
( ( ( sdtasdt0 @ xm @ xm )
!= ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl44]) ).
thf(zip_derived_cl52,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtasdt0 @ xm @ xm )
!= ( sdtasdt0 @ xn @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl51]) ).
thf(zip_derived_cl32_050,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl32_051,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl54,plain,
( ( sdtasdt0 @ xm @ xm )
!= ( sdtasdt0 @ xn @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl32,zip_derived_cl32]) ).
thf(zip_derived_cl5913,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xm @ xm ) )
!= ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xn @ xn ) ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5912,zip_derived_cl54]) ).
thf(zip_derived_cl5944,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xm @ xm ) )
!= ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xn @ xn ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl5913]) ).
thf(zip_derived_cl32_052,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl32_053,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl5948,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xm @ xm ) )
!= ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xn @ xn ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5944,zip_derived_cl32,zip_derived_cl32]) ).
thf(zip_derived_cl5957,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sk_ @ X1 @ X0 ) @ ( sdtasdt0 @ xm @ xm ) )
!= ( sdtpldt0 @ ( sk_ @ X1 @ X0 ) @ ( sdtasdt0 @ xn @ xn ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl5948]) ).
thf(zip_derived_cl23353,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xm @ xn ) )
| ( ( sdtpldt0 @ ( sk_ @ xn @ xm ) @ ( sdtasdt0 @ xm @ xm ) )
!= ( sdtpldt0 @ ( sk_ @ xn @ xm ) @ ( sdtasdt0 @ xn @ xn ) ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl23329,zip_derived_cl5957]) ).
thf(zip_derived_cl32_054,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl33_055,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl23388,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xm @ xn ) )
| ( ( sdtpldt0 @ ( sk_ @ xn @ xm ) @ ( sdtasdt0 @ xm @ xm ) )
!= ( sdtpldt0 @ ( sk_ @ xn @ xm ) @ ( sdtasdt0 @ xn @ xn ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23353,zip_derived_cl32,zip_derived_cl33]) ).
thf(zip_derived_cl14_056,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLEAsym]) ).
thf(zip_derived_cl23329_057,plain,
( ( sdtlseqdt0 @ xm @ xn )
| ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xm @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23235,zip_derived_cl32]) ).
thf(zip_derived_cl23364,plain,
( ~ ( sdtlseqdt0 @ xn @ xm )
| ( xm = xn )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xm @ xn ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl23329]) ).
thf(zip_derived_cl38_058,plain,
sdtlseqdt0 @ xn @ xm,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33_059,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl32_060,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl23369,plain,
( ( xm = xn )
| ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xm @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23364,zip_derived_cl38,zip_derived_cl33,zip_derived_cl32]) ).
thf(zip_derived_cl23933,plain,
( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xm @ xn ) ),
inference(clc,[status(thm)],[zip_derived_cl23388,zip_derived_cl23369]) ).
thf(zip_derived_cl240852,plain,
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xn ) @ ( sdtasdt0 @ xm @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xn ) )
| ( xn
= ( sdtasdt0 @ xm @ xp ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl240851,zip_derived_cl23933]) ).
thf(zip_derived_cl33_061,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl38_062,plain,
sdtlseqdt0 @ xn @ xm,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X2 @ X0 ) )
| ~ ( sdtlseqdt0 @ X1 @ X2 )
| ( X1 = X2 ) ),
inference(cnf,[status(esa)],[mMonMul]) ).
thf(zip_derived_cl1651,plain,
! [X0: $i] :
( ( xn = xm )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ X0 ) @ ( sdtasdt0 @ xm @ X0 ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xn )
| ( X0 = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl25]) ).
thf(zip_derived_cl32_063,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl33_064,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1671,plain,
! [X0: $i] :
( ( xn = xm )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ X0 ) @ ( sdtasdt0 @ xm @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1651,zip_derived_cl32,zip_derived_cl33]) ).
thf(zip_derived_cl83012,plain,
( ( xn = sz00 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xn ) @ ( sdtasdt0 @ xm @ xn ) )
| ( xn = xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl1671]) ).
thf(zip_derived_cl30,plain,
xn != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl83019,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xn ) @ ( sdtasdt0 @ xm @ xn ) )
| ( xn = xm ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl83012,zip_derived_cl30]) ).
thf(zip_derived_cl241147,plain,
( ( xn
= ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xn ) )
| ( xn = xm ) ),
inference('sup+',[status(thm)],[zip_derived_cl240852,zip_derived_cl83019]) ).
thf(zip_derived_cl241169,plain,
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ( xn = xm )
| ( xn
= ( sdtasdt0 @ xm @ xp ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl241147]) ).
thf(zip_derived_cl33_065,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl32_066,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl241174,plain,
( ( xn = xm )
| ( xn
= ( sdtasdt0 @ xm @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl241169,zip_derived_cl33,zip_derived_cl32]) ).
thf(zip_derived_cl7586_067,plain,
( ( sdtasdt0 @ xm @ ( sdtasdt0 @ xm @ xp ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl7380,zip_derived_cl32,zip_derived_cl32,zip_derived_cl31]) ).
thf(zip_derived_cl241355,plain,
( ( ( sdtasdt0 @ xm @ xn )
= ( sdtasdt0 @ xn @ xn ) )
| ( xn = xm ) ),
inference('sup+',[status(thm)],[zip_derived_cl241174,zip_derived_cl7586]) ).
thf(zip_derived_cl23933_068,plain,
( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xm @ xn ) ),
inference(clc,[status(thm)],[zip_derived_cl23388,zip_derived_cl23369]) ).
thf(zip_derived_cl241928,plain,
xn = xm,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl241355,zip_derived_cl23933]) ).
thf(zip_derived_cl241928_069,plain,
xn = xm,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl241355,zip_derived_cl23933]) ).
thf(zip_derived_cl242013,plain,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xn @ xn ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl241928,zip_derived_cl241928]) ).
thf(zip_derived_cl0_070,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl34_071,plain,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(cnf,[status(esa)],[m__3014]) ).
thf(zip_derived_cl44_072,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl32,zip_derived_cl32]) ).
thf(zip_derived_cl8_073,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( ( sdtasdt0 @ X0 @ X2 )
!= ( sdtasdt0 @ X0 @ X1 ) )
| ( X2 = X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulCanc]) ).
thf(zip_derived_cl691,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1
= ( sdtasdt0 @ xn @ xn ) )
| ( ( sdtasdt0 @ X0 @ X1 )
!= ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xn @ xn ) ) )
| ( X0 = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl8]) ).
thf(zip_derived_cl22767,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xn @ xn ) ) )
| ( xp = sz00 )
| ( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl691]) ).
thf(zip_derived_cl31_074,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl22812,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xn @ xn ) ) )
| ( xp = sz00 )
| ( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22767,zip_derived_cl31]) ).
thf(zip_derived_cl54_075,plain,
( ( sdtasdt0 @ xm @ xm )
!= ( sdtasdt0 @ xn @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl32,zip_derived_cl32]) ).
thf(zip_derived_cl28_076,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl22813,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xn @ xn ) ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22812,zip_derived_cl54,zip_derived_cl28]) ).
thf(zip_derived_cl22837,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xn @ xn ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl22813]) ).
thf(zip_derived_cl32_077,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl32_078,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl22842,plain,
( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xn @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22837,zip_derived_cl32,zip_derived_cl32]) ).
thf(zip_derived_cl242014,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl242013,zip_derived_cl22842]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM527+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dID7ldJqm9 true
% 0.11/0.28 % Computer : n032.cluster.edu
% 0.11/0.28 % Model : x86_64 x86_64
% 0.11/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.28 % Memory : 8042.1875MB
% 0.11/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.28 % CPULimit : 300
% 0.11/0.28 % WCLimit : 300
% 0.11/0.28 % DateTime : Fri Aug 25 08:38:43 EDT 2023
% 0.11/0.29 % CPUTime :
% 0.11/0.29 % Running portfolio for 300 s
% 0.11/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.29 % Number of cores: 8
% 0.11/0.29 % Python version: Python 3.6.8
% 0.11/0.29 % Running in FO mode
% 0.13/0.51 % Total configuration time : 435
% 0.13/0.51 % Estimated wc time : 1092
% 0.13/0.51 % Estimated cpu time (7 cpus) : 156.0
% 0.13/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.13/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.13/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.13/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.13/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.13/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.13/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 236.35/34.26 % Solved by fo/fo4.sh.
% 236.35/34.26 % done 24630 iterations in 33.643s
% 236.35/34.26 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 236.35/34.26 % SZS output start Refutation
% See solution above
% 236.35/34.26
% 236.35/34.26
% 236.35/34.26 % Terminating...
% 236.79/34.32 % Runner terminated.
% 236.79/34.33 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------