TSTP Solution File: NUM528+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM528+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.ee22gTuO0z true
% Computer : n006.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 12:42:08 EDT 2023
% Result : Theorem 17.69s 3.16s
% Output : Refutation 17.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 26
% Syntax : Number of formulae : 123 ( 43 unt; 10 typ; 0 def)
% Number of atoms : 305 ( 110 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 900 ( 146 ~; 150 |; 23 &; 562 @)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 79 ( 0 ^; 79 !; 0 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sz10_type,type,
sz10: $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(isPrime0_type,type,
isPrime0: $i > $o ).
thf(xn_type,type,
xn: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xm_type,type,
xm: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xp_type,type,
xp: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(m_MulUnit,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( X0
= ( sdtasdt0 @ sz10 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulUnit]) ).
thf(m__3014,axiom,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ) ).
thf(zip_derived_cl78,plain,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(cnf,[status(esa)],[m__3014]) ).
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_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( ( sdtasdt0 @ X2 @ X0 )
!= ( sdtasdt0 @ X1 @ X0 ) )
| ( X2 = X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulCanc]) ).
thf(zip_derived_cl1327,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xm @ xm ) ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ( xp = X0 )
| ( ( sdtasdt0 @ xm @ xm )
= sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl20]) ).
thf(m__2987,axiom,
( ( xp != sz00 )
& ( xm != sz00 )
& ( xn != sz00 )
& ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl74,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1356,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xm @ xm ) ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xp = X0 )
| ( ( sdtasdt0 @ xm @ xm )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1327,zip_derived_cl74]) ).
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(m__3152,axiom,
( ( sdtlseqdt0 @ xn @ xm )
=> ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xn ) @ ( sdtasdt0 @ xm @ xm ) ) ) ).
thf(zip_derived_cl84,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xn ) @ ( sdtasdt0 @ xm @ xm ) )
| ~ ( sdtlseqdt0 @ xn @ xm ) ),
inference(cnf,[status(esa)],[m__3152]) ).
thf(mLEAsym,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl32,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_cl727,plain,
( ~ ( sdtlseqdt0 @ xn @ xm )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xm @ xm ) @ ( sdtasdt0 @ xn @ xn ) )
| ( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl32]) ).
thf(zip_derived_cl5_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl78_002,plain,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(cnf,[status(esa)],[m__3014]) ).
thf(zip_derived_cl5_003,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl696,plain,
( ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl78,zip_derived_cl5]) ).
thf(zip_derived_cl74_004,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl703,plain,
( ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl696,zip_derived_cl74]) ).
thf(zip_derived_cl735,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xm )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl703]) ).
thf(zip_derived_cl75,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl75_005,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl736,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ),
inference(demod,[status(thm)],[zip_derived_cl735,zip_derived_cl75,zip_derived_cl75]) ).
thf(zip_derived_cl3859,plain,
( ~ ( sdtlseqdt0 @ xn @ xm )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xm @ xm ) @ ( sdtasdt0 @ xn @ xn ) )
| ( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl727,zip_derived_cl736]) ).
thf(zip_derived_cl75_006,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl76,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(mLETotal,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( ( W1 != W0 )
& ( sdtlseqdt0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(zip_derived_cl772,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ xn )
| ( sdtlseqdt0 @ xn @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl35]) ).
thf(zip_derived_cl814,plain,
( ( sdtlseqdt0 @ xn @ xm )
| ( sdtlseqdt0 @ xm @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl772]) ).
thf(m__,conjecture,
( ( xm != xn )
& ( sdtlseqdt0 @ xm @ xn ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( xm != xn )
& ( sdtlseqdt0 @ xm @ xn ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl85,plain,
( ( xm = xn )
| ~ ( sdtlseqdt0 @ xm @ xn ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl820,plain,
( ( sdtlseqdt0 @ xn @ xm )
| ( xm = xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl814,zip_derived_cl85]) ).
thf(zip_derived_cl3860,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xn ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xm @ xm ) @ ( sdtasdt0 @ xn @ xn ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3859,zip_derived_cl820]) ).
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_cl11,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_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl1027,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_cl11,zip_derived_cl10]) ).
thf(zip_derived_cl1058,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_cl1027]) ).
thf(zip_derived_cl5_007,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl11596,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_cl1058,zip_derived_cl5]) ).
thf(zip_derived_cl78_008,plain,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(cnf,[status(esa)],[m__3014]) ).
thf(zip_derived_cl11667,plain,
( ( ( sdtasdt0 @ xm @ ( sdtasdt0 @ xm @ xp ) )
= ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl11596,zip_derived_cl78]) ).
thf(zip_derived_cl75_009,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl75_010,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl74_011,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl11931,plain,
( ( sdtasdt0 @ xm @ ( sdtasdt0 @ xm @ xp ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl11667,zip_derived_cl75,zip_derived_cl75,zip_derived_cl74]) ).
thf(zip_derived_cl11_012,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(mMonMul2,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( W0 != sz00 )
=> ( sdtlseqdt0 @ W1 @ ( sdtasdt0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMonMul2]) ).
thf(zip_derived_cl1295,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtlseqdt0 @ ( sdtasdt0 @ X2 @ X1 ) @ ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X2 @ X1 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl46]) ).
thf(zip_derived_cl1312,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X2 @ X1 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X2 @ X1 ) @ ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1295]) ).
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_cl24391,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtlseqdt0 @ ( sdtasdt0 @ X2 @ X1 ) @ ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl1312,zip_derived_cl5]) ).
thf(zip_derived_cl24429,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xm @ xm ) @ ( sdtasdt0 @ xn @ xn ) )
| ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl11931,zip_derived_cl24391]) ).
thf(zip_derived_cl75_014,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl75_015,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl74_016,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl24530,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xm @ xm ) @ ( sdtasdt0 @ xn @ xn ) )
| ( xp = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl24429,zip_derived_cl75,zip_derived_cl75,zip_derived_cl74]) ).
thf(zip_derived_cl71,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl24531,plain,
sdtlseqdt0 @ ( sdtasdt0 @ xm @ xm ) @ ( sdtasdt0 @ xn @ xn ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24530,zip_derived_cl71]) ).
thf(zip_derived_cl24636,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3860,zip_derived_cl24531]) ).
thf(zip_derived_cl24709,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl24636]) ).
thf(zip_derived_cl75_017,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl75_018,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl24714,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl24709,zip_derived_cl75,zip_derived_cl75]) ).
thf(zip_derived_cl24714_019,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl24709,zip_derived_cl75,zip_derived_cl75]) ).
thf(zip_derived_cl736_020,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ),
inference(demod,[status(thm)],[zip_derived_cl735,zip_derived_cl75,zip_derived_cl75]) ).
thf(zip_derived_cl24714_021,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl24709,zip_derived_cl75,zip_derived_cl75]) ).
thf(zip_derived_cl26986,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xn @ xn ) ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xp = X0 )
| ( ( sdtasdt0 @ xn @ xn )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1356,zip_derived_cl24714,zip_derived_cl24714,zip_derived_cl736,zip_derived_cl24714]) ).
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_cl78_023,plain,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(cnf,[status(esa)],[m__3014]) ).
thf(mZeroMul,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
= sz00 )
=> ( ( W0 = sz00 )
| ( W1 = sz00 ) ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 )
| ( ( sdtasdt0 @ X0 @ X1 )
!= sz00 ) ),
inference(cnf,[status(esa)],[mZeroMul]) ).
thf(zip_derived_cl1258,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= sz00 )
| ( ( sdtasdt0 @ xm @ xm )
= sz00 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ xp )
| ( xp = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl24]) ).
thf(zip_derived_cl74_024,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1275,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= sz00 )
| ( ( sdtasdt0 @ xm @ xm )
= sz00 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ( xp = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1258,zip_derived_cl74]) ).
thf(zip_derived_cl71_025,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1276,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= sz00 )
| ( ( sdtasdt0 @ xm @ xm )
= sz00 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1275,zip_derived_cl71]) ).
thf(zip_derived_cl1863,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtasdt0 @ xm @ xm )
= sz00 )
| ( ( sdtasdt0 @ xn @ xn )
!= sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1276]) ).
thf(zip_derived_cl75_026,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl75_027,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1868,plain,
( ( ( sdtasdt0 @ xm @ xm )
= sz00 )
| ( ( sdtasdt0 @ xn @ xn )
!= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1863,zip_derived_cl75,zip_derived_cl75]) ).
thf(zip_derived_cl24_028,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 )
| ( ( sdtasdt0 @ X0 @ X1 )
!= sz00 ) ),
inference(cnf,[status(esa)],[mZeroMul]) ).
thf(zip_derived_cl1876,plain,
( ( sz00 != sz00 )
| ( ( sdtasdt0 @ xn @ xn )
!= sz00 )
| ( xm = sz00 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xm )
| ( xm = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1868,zip_derived_cl24]) ).
thf(zip_derived_cl75_029,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl75_030,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1897,plain,
( ( sz00 != sz00 )
| ( ( sdtasdt0 @ xn @ xn )
!= sz00 )
| ( xm = sz00 )
| ( xm = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1876,zip_derived_cl75,zip_derived_cl75]) ).
thf(zip_derived_cl1898,plain,
( ( xm = sz00 )
| ( ( sdtasdt0 @ xn @ xn )
!= sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1897]) ).
thf(zip_derived_cl72,plain,
xm != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1899,plain,
( ( sdtasdt0 @ xn @ xn )
!= sz00 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1898,zip_derived_cl72]) ).
thf(zip_derived_cl26987,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xn @ xn ) ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xp = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26986,zip_derived_cl1899]) ).
thf(zip_derived_cl26994,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) )
| ( xp = sz10 )
| ~ ( aNaturalNumber0 @ sz10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl26987]) ).
thf(zip_derived_cl736_031,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ),
inference(demod,[status(thm)],[zip_derived_cl735,zip_derived_cl75,zip_derived_cl75]) ).
thf(mSortsC_01,axiom,
( ( sz10 != sz00 )
& ( aNaturalNumber0 @ sz10 ) ) ).
thf(zip_derived_cl3,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl27020,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xn @ xn ) )
| ( xp = sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl26994,zip_derived_cl736,zip_derived_cl3]) ).
thf(zip_derived_cl27021,plain,
xp = sz10,
inference(simplify,[status(thm)],[zip_derived_cl27020]) ).
thf(m__3025,axiom,
isPrime0 @ xp ).
thf(zip_derived_cl79,plain,
isPrime0 @ xp,
inference(cnf,[status(esa)],[m__3025]) ).
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_cl65,plain,
! [X0: $i] :
( ~ ( isPrime0 @ X0 )
| ( X0 != sz10 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(zip_derived_cl679,plain,
( ~ ( aNaturalNumber0 @ xp )
| ( xp != sz10 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl79,zip_derived_cl65]) ).
thf(zip_derived_cl683,plain,
( ~ ( aNaturalNumber0 @ sz10 )
| ( xp != sz10 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl679]) ).
thf(zip_derived_cl3_032,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl686,plain,
xp != sz10,
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl3]) ).
thf(zip_derived_cl27022,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27021,zip_derived_cl686]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM528+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ee22gTuO0z true
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 11:43:52 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 17.69/3.16 % Solved by fo/fo3_bce.sh.
% 17.69/3.16 % BCE start: 86
% 17.69/3.16 % BCE eliminated: 1
% 17.69/3.16 % PE start: 85
% 17.69/3.16 logic: eq
% 17.69/3.16 % PE eliminated: -10
% 17.69/3.16 % done 2128 iterations in 2.395s
% 17.69/3.16 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 17.69/3.16 % SZS output start Refutation
% See solution above
% 17.69/3.16
% 17.69/3.16
% 17.69/3.16 % Terminating...
% 18.09/3.29 % Runner terminated.
% 18.09/3.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------