TSTP Solution File: NUM503+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM503+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.SfE14ezKWV true
% Computer : n020.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 12:41:56 EDT 2023
% Result : Theorem 9.22s 1.95s
% Output : Refutation 9.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 30
% Syntax : Number of formulae : 173 ( 57 unt; 12 typ; 0 def)
% Number of atoms : 495 ( 222 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1574 ( 256 ~; 283 |; 35 &; 984 @)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 93 ( 0 ^; 92 !; 1 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(xp_type,type,
xp: $i ).
thf(sdtsldt0_type,type,
sdtsldt0: $i > $i > $i ).
thf(sz10_type,type,
sz10: $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(isPrime0_type,type,
isPrime0: $i > $o ).
thf(sz00_type,type,
sz00: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xk_type,type,
xk: $i ).
thf(xn_type,type,
xn: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(m_MulZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( sz00
= ( sdtasdt0 @ sz00 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz00 )
= sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(m__2306,axiom,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ).
thf(zip_derived_cl82,plain,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(mDefQuot,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != sz00 )
& ( doDivides0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtsldt0 @ W1 @ W0 ) )
<=> ( ( aNaturalNumber0 @ W2 )
& ( W1
= ( sdtasdt0 @ W0 @ W2 ) ) ) ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( X1
= ( sdtasdt0 @ X0 @ X2 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl1397,plain,
! [X0: $i] :
( ( X0 != xk )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xp )
| ( xp = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl53]) ).
thf(m__1860,axiom,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
& ( isPrime0 @ xp ) ) ).
thf(zip_derived_cl74,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
thf(m__1837,axiom,
( ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl70,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1399,plain,
! [X0: $i] :
( ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( xp = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1397,zip_derived_cl74,zip_derived_cl70]) ).
thf(zip_derived_cl75,plain,
isPrime0 @ xp,
inference(cnf,[status(esa)],[m__1860]) ).
thf(mDefPrime,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( isPrime0 @ W0 )
<=> ( ( W0 != sz00 )
& ( W0 != sz10 )
& ! [W1: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( doDivides0 @ W1 @ W0 ) )
=> ( ( W1 = sz10 )
| ( W1 = W0 ) ) ) ) ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ~ ( isPrime0 @ X0 )
| ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(zip_derived_cl687,plain,
( ~ ( aNaturalNumber0 @ xp )
| ( xp != sz00 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl66]) ).
thf(zip_derived_cl695,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ( xp != sz00 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl687]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl696,plain,
xp != sz00,
inference(demod,[status(thm)],[zip_derived_cl695,zip_derived_cl1]) ).
thf(zip_derived_cl1400,plain,
! [X0: $i] :
( ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1399,zip_derived_cl696]) ).
thf(mLETotal,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( ( W1 != W0 )
& ( sdtlseqdt0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl34_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(zip_derived_cl10_002,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(m__,conjecture,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xm ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
& ( ( sdtasdt0 @ xp @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xm ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
& ( ( sdtasdt0 @ xp @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl93,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl763,plain,
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xm @ xp ) @ ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl93]) ).
thf(zip_derived_cl70_003,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl791,plain,
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xm @ xp ) @ ( sdtasdt0 @ xp @ xk ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl763,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl865,plain,
( ( ( sdtasdt0 @ xp @ xk )
!= ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl791]) ).
thf(zip_derived_cl866,plain,
( ( ( sdtasdt0 @ xp @ xk )
!= ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xm @ xp ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl865]) ).
thf(zip_derived_cl930,plain,
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xm @ xp ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ( ( sdtasdt0 @ xp @ xk )
!= ( sdtasdt0 @ xm @ xp ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl866]) ).
thf(zip_derived_cl71_004,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_005,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl933,plain,
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xm @ xp ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xm @ xp ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ( ( sdtasdt0 @ xp @ xk )
!= ( sdtasdt0 @ xm @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl930,zip_derived_cl71,zip_derived_cl70]) ).
thf(zip_derived_cl937,plain,
( ( ( sdtasdt0 @ xm @ xp )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xp @ xk )
!= ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xm @ xp ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl933]) ).
thf(zip_derived_cl938,plain,
( ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xm @ xp ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xk )
!= ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ( ( sdtasdt0 @ xm @ xp )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl937]) ).
thf(zip_derived_cl939,plain,
( ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xk )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xm @ xp )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl938]) ).
thf(zip_derived_cl940,plain,
( ( ( sdtasdt0 @ xm @ xp )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xp @ xk )
!= ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl939]) ).
thf(zip_derived_cl1420,plain,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( xk != xk )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xm @ xp )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1400,zip_derived_cl940]) ).
thf(zip_derived_cl1445,plain,
( ( ( sdtasdt0 @ xm @ xp )
!= ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1420]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X1
!= ( sdtasdt0 @ X0 @ X2 ) )
| ( X2
= ( sdtsldt0 @ X1 @ X0 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(mDefDiv,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( doDivides0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( W1
= ( sdtasdt0 @ W0 @ W2 ) )
& ( aNaturalNumber0 @ W2 ) ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X1
!= ( sdtasdt0 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl1733,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( sdtsldt0 @ X1 @ X0 ) )
| ( X1
!= ( sdtasdt0 @ X0 @ X2 ) )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl51]) ).
thf(zip_derived_cl1745,plain,
! [X0: $i] :
( ( X0
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xm @ xp )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ( xm
= ( sdtsldt0 @ X0 @ xp ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1445,zip_derived_cl1733]) ).
thf(zip_derived_cl70_006,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_007,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1764,plain,
! [X0: $i] :
( ( X0
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xm @ xp )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xp = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( xm
= ( sdtsldt0 @ X0 @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1745,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl696_008,plain,
xp != sz00,
inference(demod,[status(thm)],[zip_derived_cl695,zip_derived_cl1]) ).
thf(zip_derived_cl1765,plain,
! [X0: $i] :
( ( X0
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xm @ xp )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xm
= ( sdtsldt0 @ X0 @ xp ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1764,zip_derived_cl696]) ).
thf(zip_derived_cl82_009,plain,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl1768,plain,
( ( xk = xm )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xm @ xp )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1765,zip_derived_cl82]) ).
thf(zip_derived_cl1775,plain,
( ( ( sdtasdt0 @ xm @ xp )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( xk = xm ) ),
inference(simplify,[status(thm)],[zip_derived_cl1768]) ).
thf(mSortsB_02,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl1400_010,plain,
! [X0: $i] :
( ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1399,zip_derived_cl696]) ).
thf(zip_derived_cl10_011,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl1402,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ X0 @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl1400,zip_derived_cl10]) ).
thf(zip_derived_cl70_012,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1422,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ X0 @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1402,zip_derived_cl70]) ).
thf(zip_derived_cl5_013,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl82_014,plain,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( aNaturalNumber0 @ X2 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl1190,plain,
! [X0: $i] :
( ( X0 != xk )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xp )
| ( xp = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl52]) ).
thf(zip_derived_cl74_015,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl70_016,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1192,plain,
! [X0: $i] :
( ( X0 != xk )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( xp = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1190,zip_derived_cl74,zip_derived_cl70]) ).
thf(zip_derived_cl696_017,plain,
xp != sz00,
inference(demod,[status(thm)],[zip_derived_cl695,zip_derived_cl1]) ).
thf(zip_derived_cl1193,plain,
! [X0: $i] :
( ( X0 != xk )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1192,zip_derived_cl696]) ).
thf(zip_derived_cl1221,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( aNaturalNumber0 @ X0 )
| ( X0 != xk ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1193]) ).
thf(zip_derived_cl71_018,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1224,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ X0 )
| ( X0 != xk ) ),
inference(demod,[status(thm)],[zip_derived_cl1221,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl2689,plain,
! [X0: $i] :
( ( X0 != xk )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ X0 @ xp ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1422,zip_derived_cl1224]) ).
thf(zip_derived_cl2691,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ X0 @ xp ) )
| ( X0 != xk ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2689]) ).
thf(zip_derived_cl71_019,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_020,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2693,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ X0 @ xp ) )
| ( X0 != xk ) ),
inference(demod,[status(thm)],[zip_derived_cl2691,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl2693_021,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ X0 @ xp ) )
| ( X0 != xk ) ),
inference(demod,[status(thm)],[zip_derived_cl2691,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl5_022,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl2793,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ xp ) )
| ( X0 != xk )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('sup+',[status(thm)],[zip_derived_cl2693,zip_derived_cl5]) ).
thf(zip_derived_cl71_023,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_024,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2884,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ xp ) )
| ( X0 != xk ) ),
inference(demod,[status(thm)],[zip_derived_cl2793,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl3033,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( X0 != xk ) ),
inference('sup+',[status(thm)],[zip_derived_cl2693,zip_derived_cl2884]) ).
thf(zip_derived_cl3041,plain,
! [X0: $i] :
( ( X0 != xk )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3033]) ).
thf(zip_derived_cl3151,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ),
inference(eq_res,[status(thm)],[zip_derived_cl3041]) ).
thf(zip_derived_cl3244,plain,
( ( ( sdtasdt0 @ xm @ xp )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xk = xm ) ),
inference(demod,[status(thm)],[zip_derived_cl1775,zip_derived_cl3151]) ).
thf(zip_derived_cl1224_025,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ X0 )
| ( X0 != xk ) ),
inference(demod,[status(thm)],[zip_derived_cl1221,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl93_026,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl41,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_cl1666,plain,
( ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( xm = xk )
| ~ ( sdtlseqdt0 @ xm @ xk )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ( xp = sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl93,zip_derived_cl41]) ).
thf(zip_derived_cl70_027,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_028,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1691,plain,
( ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( xm = xk )
| ~ ( sdtlseqdt0 @ xm @ xk )
| ~ ( aNaturalNumber0 @ xk )
| ( xp = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1666,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl696_029,plain,
xp != sz00,
inference(demod,[status(thm)],[zip_derived_cl695,zip_derived_cl1]) ).
thf(zip_derived_cl1692,plain,
( ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( xm = xk )
| ~ ( sdtlseqdt0 @ xm @ xk )
| ~ ( aNaturalNumber0 @ xk ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1691,zip_derived_cl696]) ).
thf(zip_derived_cl1778,plain,
( ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( sdtlseqdt0 @ xm @ xk ) ),
inference(condensation,[status(thm)],[zip_derived_cl1692]) ).
thf(zip_derived_cl43,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_cl1800,plain,
( ~ ( sdtlseqdt0 @ xm @ xk )
| ~ ( aNaturalNumber0 @ xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ( xn = xp )
| ~ ( sdtlseqdt0 @ xn @ xp )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( xm = sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1778,zip_derived_cl43]) ).
thf(m__2287,axiom,
( ( sdtlseqdt0 @ xm @ xp )
& ( xm != xp )
& ( sdtlseqdt0 @ xn @ xp )
& ( xn != xp ) ) ).
thf(zip_derived_cl80,plain,
sdtlseqdt0 @ xn @ xp,
inference(cnf,[status(esa)],[m__2287]) ).
thf(zip_derived_cl70_030,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_031,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_032,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1828,plain,
( ~ ( sdtlseqdt0 @ xm @ xk )
| ~ ( aNaturalNumber0 @ xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ( xn = xp )
| ( xm = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1800,zip_derived_cl80,zip_derived_cl70,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl81,plain,
xn != xp,
inference(cnf,[status(esa)],[m__2287]) ).
thf(zip_derived_cl1829,plain,
( ~ ( sdtlseqdt0 @ xm @ xk )
| ~ ( aNaturalNumber0 @ xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ( xm = sz00 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1828,zip_derived_cl81]) ).
thf(zip_derived_cl78,plain,
sdtlseqdt0 @ xm @ xp,
inference(cnf,[status(esa)],[m__2287]) ).
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_cl33,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_cl901,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xp @ X0 )
| ( sdtlseqdt0 @ xm @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl33]) ).
thf(zip_derived_cl71_033,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_034,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl913,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xp @ X0 )
| ( sdtlseqdt0 @ xm @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl901,zip_derived_cl71,zip_derived_cl70]) ).
thf(m__2389,axiom,
sdtlseqdt0 @ xp @ xk ).
thf(zip_derived_cl92,plain,
sdtlseqdt0 @ xp @ xk,
inference(cnf,[status(esa)],[m__2389]) ).
thf(zip_derived_cl7035,plain,
( ~ ( aNaturalNumber0 @ xk )
| ( sdtlseqdt0 @ xm @ xk ) ),
inference('sup+',[status(thm)],[zip_derived_cl913,zip_derived_cl92]) ).
thf(zip_derived_cl7190,plain,
( ( xm = sz00 )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ xk ) ),
inference('sup+',[status(thm)],[zip_derived_cl1829,zip_derived_cl7035]) ).
thf(zip_derived_cl7191,plain,
( ~ ( aNaturalNumber0 @ xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ( xm = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7190]) ).
thf(zip_derived_cl1400_035,plain,
! [X0: $i] :
( ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1399,zip_derived_cl696]) ).
thf(zip_derived_cl3151_036,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ),
inference(eq_res,[status(thm)],[zip_derived_cl3041]) ).
thf(zip_derived_cl3232,plain,
! [X0: $i] :
( ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1400,zip_derived_cl3151]) ).
thf(zip_derived_cl8061,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( xm = sz00 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ xk )
| ( xk != xk ) ),
inference('sup+',[status(thm)],[zip_derived_cl7191,zip_derived_cl3232]) ).
thf(zip_derived_cl8145,plain,
( ~ ( aNaturalNumber0 @ xk )
| ( xm = sz00 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8061]) ).
thf(zip_derived_cl10_037,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl8175,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xm @ xp ) )
| ( xm = sz00 )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl8145,zip_derived_cl10]) ).
thf(zip_derived_cl71_038,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_039,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl8221,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xm @ xp ) )
| ( xm = sz00 )
| ~ ( aNaturalNumber0 @ xk ) ),
inference(demod,[status(thm)],[zip_derived_cl8175,zip_derived_cl71,zip_derived_cl70]) ).
thf(zip_derived_cl3244_040,plain,
( ( ( sdtasdt0 @ xm @ xp )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xk = xm ) ),
inference(demod,[status(thm)],[zip_derived_cl1775,zip_derived_cl3151]) ).
thf(zip_derived_cl8360,plain,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xk )
| ( xm = sz00 )
| ( xk = xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl8221,zip_derived_cl3244]) ).
thf(zip_derived_cl8456,plain,
( ( xk = xm )
| ( xm = sz00 )
| ~ ( aNaturalNumber0 @ xk ) ),
inference(simplify,[status(thm)],[zip_derived_cl8360]) ).
thf(zip_derived_cl8468,plain,
( ( xk != xk )
| ( xm = sz00 )
| ( xk = xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl1224,zip_derived_cl8456]) ).
thf(zip_derived_cl8470,plain,
( ( xk = xm )
| ( xm = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8468]) ).
thf(zip_derived_cl92_041,plain,
sdtlseqdt0 @ xp @ xk,
inference(cnf,[status(esa)],[m__2389]) ).
thf(zip_derived_cl8481,plain,
( ( sdtlseqdt0 @ xp @ xm )
| ( xm = sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl8470,zip_derived_cl92]) ).
thf(m__2075,axiom,
~ ( sdtlseqdt0 @ xp @ xm ) ).
thf(zip_derived_cl77,plain,
~ ( sdtlseqdt0 @ xp @ xm ),
inference(cnf,[status(esa)],[m__2075]) ).
thf(zip_derived_cl8515,plain,
xm = sz00,
inference(clc,[status(thm)],[zip_derived_cl8481,zip_derived_cl77]) ).
thf(zip_derived_cl8515_042,plain,
xm = sz00,
inference(clc,[status(thm)],[zip_derived_cl8481,zip_derived_cl77]) ).
thf(zip_derived_cl8515_043,plain,
xm = sz00,
inference(clc,[status(thm)],[zip_derived_cl8481,zip_derived_cl77]) ).
thf(zip_derived_cl8593,plain,
( ( ( sdtasdt0 @ sz00 @ xp )
!= ( sdtasdt0 @ xn @ sz00 ) )
| ( xk = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl3244,zip_derived_cl8515,zip_derived_cl8515,zip_derived_cl8515]) ).
thf(m__2315,axiom,
~ ( ( xk = sz00 )
| ( xk = sz10 ) ) ).
thf(zip_derived_cl84,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__2315]) ).
thf(zip_derived_cl8594,plain,
( ( sdtasdt0 @ sz00 @ xp )
!= ( sdtasdt0 @ xn @ sz00 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8593,zip_derived_cl84]) ).
thf(zip_derived_cl8876,plain,
( ( ( sdtasdt0 @ sz00 @ xp )
!= sz00 )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl8594]) ).
thf(zip_derived_cl72_044,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl8880,plain,
( ( sdtasdt0 @ sz00 @ xp )
!= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl8876,zip_derived_cl72]) ).
thf(zip_derived_cl8881,plain,
( ( sz00 != sz00 )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl8880]) ).
thf(zip_derived_cl70_045,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl8882,plain,
sz00 != sz00,
inference(demod,[status(thm)],[zip_derived_cl8881,zip_derived_cl70]) ).
thf(zip_derived_cl8883,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl8882]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM503+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SfE14ezKWV true
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 09:52:00 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.69 % Total configuration time : 435
% 0.22/0.69 % Estimated wc time : 1092
% 0.22/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.29/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.29/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.22/1.95 % Solved by fo/fo3_bce.sh.
% 9.22/1.95 % BCE start: 94
% 9.22/1.95 % BCE eliminated: 1
% 9.22/1.95 % PE start: 93
% 9.22/1.95 logic: eq
% 9.22/1.95 % PE eliminated: -8
% 9.22/1.95 % done 959 iterations in 1.138s
% 9.22/1.95 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.22/1.95 % SZS output start Refutation
% See solution above
% 9.22/1.95
% 9.22/1.95
% 9.22/1.95 % Terminating...
% 9.22/1.99 % Runner terminated.
% 9.22/2.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------