%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM529+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mrkdkYtKer true
% Computer : n025.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 Oct 2 04:47:20 PM UTC 2025
% Result : Theorem 52.02s 8.09s
% Output : Refutation 52.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 107 ( 50 unt; 0 typ; 0 def)
% Number of atoms : 302 ( 131 equ; 0 cnn)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 804 ( 135 ~; 134 |; 41 &; 474 @)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 81 ( 0 ^; 76 !; 5 ?; 81 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sdtsldt0_type,type,
sdtsldt0: $i > $i > $i ).
thf(sz10_type,type,
sz10: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $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(xq_type,type,
xq: $i ).
thf(xm_type,type,
xm: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(xp_type,type,
xp: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(m__3059,axiom,
( ( xq
= ( sdtsldt0 @ xn @ xp ) )
& ( xn
= ( sdtasdt0 @ xp @ xq ) )
& ( aNaturalNumber0 @ xq ) ) ).
thf(zip_derived_cl96,plain,
( xn
= ( sdtasdt0 @ xp @ xq ) ),
inference(cnf,[status(esa)],[m__3059]) ).
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(zip_derived_cl362,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xq )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ X0 )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl96,zip_derived_cl11]) ).
thf(zip_derived_cl97,plain,
aNaturalNumber0 @ xq,
inference(cnf,[status(esa)],[m__3059]) ).
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_cl380,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ X0 )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl97,zip_derived_cl74]) ).
thf(m__3124,axiom,
( ( sdtlseqdt0 @ xm @ xn )
& ? [W0: $i] :
( ( ( sdtpldt0 @ xm @ W0 )
= xn )
& ( aNaturalNumber0 @ W0 ) )
& ( xm != xn ) ) ).
thf(zip_derived_cl102,plain,
sdtlseqdt0 @ xm @ xn,
inference(cnf,[status(esa)],[m__3124]) ).
thf(mIH_03,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != W1 )
& ( sdtlseqdt0 @ W0 @ W1 ) )
=> ( iLess0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( iLess0 @ X0 @ X1 )
| ~ ( sdtlseqdt0 @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[mIH_03]) ).
thf(zip_derived_cl522,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( iLess0 @ xm @ xn )
| ( xm = xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl48]) ).
thf(zip_derived_cl75,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl76,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl528,plain,
( ( iLess0 @ xm @ xn )
| ( xm = xn ) ),
inference(demod,[status(thm)],[zip_derived_cl522,zip_derived_cl75,zip_derived_cl76]) ).
thf(zip_derived_cl99,plain,
xm != xn,
inference(cnf,[status(esa)],[m__3124]) ).
thf(zip_derived_cl529,plain,
iLess0 @ xm @ xn,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl528,zip_derived_cl99]) ).
thf(m__2963,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 )
& ( W0 != sz00 )
& ( W1 != sz00 )
& ( W2 != sz00 ) )
=> ( ( ( sdtasdt0 @ W2 @ ( sdtasdt0 @ W1 @ W1 ) )
= ( sdtasdt0 @ W0 @ W0 ) )
=> ( ( iLess0 @ W0 @ xn )
=> ~ ( ( ( W2 != sz10 )
& ! [W3: $i] :
( ( ( aNaturalNumber0 @ W3 )
& ? [W4: $i] :
( ( W2
= ( sdtasdt0 @ W3 @ W4 ) )
& ( aNaturalNumber0 @ W4 ) )
& ( doDivides0 @ W3 @ W2 ) )
=> ( ( W3 = sz10 )
| ( W3 = W2 ) ) ) )
| ( isPrime0 @ W2 ) ) ) ) ) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( iLess0 @ X0 @ xn )
| ( X1 = sz00 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X2 = sz00 )
| ~ ( isPrime0 @ X2 )
| ( ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X1 ) )
!= ( sdtasdt0 @ X0 @ X0 ) ) ),
inference(cnf,[status(esa)],[m__2963]) ).
thf(zip_derived_cl1295,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( xm = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 )
| ~ ( isPrime0 @ X1 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X0 ) )
!= ( sdtasdt0 @ xm @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl77]) ).
thf(zip_derived_cl75_001,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1297,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( xm = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 )
| ~ ( isPrime0 @ X1 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X0 ) )
!= ( sdtasdt0 @ xm @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1295,zip_derived_cl75]) ).
thf(zip_derived_cl72,plain,
xm != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1298,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 )
| ~ ( isPrime0 @ X1 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X0 ) )
!= ( sdtasdt0 @ xm @ xm ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1297,zip_derived_cl72]) ).
thf(zip_derived_cl380_002,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ X0 )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl97,zip_derived_cl74]) ).
thf(m__3082,axiom,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ) ).
thf(zip_derived_cl98,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ),
inference(cnf,[status(esa)],[m__3082]) ).
thf(zip_derived_cl6204,plain,
( ~ ( aNaturalNumber0 @ xq )
| ( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xq ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl380,zip_derived_cl98]) ).
thf(zip_derived_cl97_003,plain,
aNaturalNumber0 @ xq,
inference(cnf,[status(esa)],[m__3059]) ).
thf(zip_derived_cl6259,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xq ) ),
inference(demod,[status(thm)],[zip_derived_cl6204,zip_derived_cl97]) ).
thf(m__3046,axiom,
( ( doDivides0 @ xp @ xn )
& ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ) )
& ? [W0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zip_derived_cl89,plain,
( ( sdtasdt0 @ xn @ xn )
= ( sdtasdt0 @ xp @ sk__7 ) ),
inference(cnf,[status(esa)],[m__3046]) ).
thf(m__3014,axiom,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ) ).
thf(zip_derived_cl84,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_cl21,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_cl859,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xp @ X0 ) )
| ( ( sdtasdt0 @ xm @ xm )
= X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl21]) ).
thf(zip_derived_cl74_004,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl890,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xp @ X0 ) )
| ( ( sdtasdt0 @ xm @ xm )
= X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl859,zip_derived_cl74]) ).
thf(zip_derived_cl71,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl891,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xp @ X0 ) )
| ( ( sdtasdt0 @ xm @ xm )
= X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl890,zip_derived_cl71]) ).
thf(zip_derived_cl6259_005,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xq ) ),
inference(demod,[status(thm)],[zip_derived_cl6204,zip_derived_cl97]) ).
thf(zip_derived_cl6259_006,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xq ) ),
inference(demod,[status(thm)],[zip_derived_cl6204,zip_derived_cl97]) ).
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_cl98_007,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ),
inference(cnf,[status(esa)],[m__3082]) ).
thf(zip_derived_cl5_008,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl338,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xq @ xq ) )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl98,zip_derived_cl5]) ).
thf(zip_derived_cl74_009,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl344,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xq @ xq ) )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl338,zip_derived_cl74]) ).
thf(zip_derived_cl4652,plain,
( ~ ( aNaturalNumber0 @ xq )
| ~ ( aNaturalNumber0 @ xq )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl344]) ).
thf(zip_derived_cl97_010,plain,
aNaturalNumber0 @ xq,
inference(cnf,[status(esa)],[m__3059]) ).
thf(zip_derived_cl97_011,plain,
aNaturalNumber0 @ xq,
inference(cnf,[status(esa)],[m__3059]) ).
thf(zip_derived_cl4657,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ),
inference(demod,[status(thm)],[zip_derived_cl4652,zip_derived_cl97,zip_derived_cl97]) ).
thf(zip_derived_cl6259_012,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xn @ xq ) ),
inference(demod,[status(thm)],[zip_derived_cl6204,zip_derived_cl97]) ).
thf(zip_derived_cl7661,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xq ),
inference(demod,[status(thm)],[zip_derived_cl4657,zip_derived_cl6259]) ).
thf(zip_derived_cl37448,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xp @ X0 ) )
| ( ( sdtasdt0 @ xn @ xq )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl891,zip_derived_cl6259,zip_derived_cl6259,zip_derived_cl7661]) ).
thf(zip_derived_cl37472,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xn @ xn ) )
| ( ( sdtasdt0 @ xn @ xq )
= sk__7 )
| ~ ( aNaturalNumber0 @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl37448]) ).
thf(zip_derived_cl90,plain,
aNaturalNumber0 @ sk__7,
inference(cnf,[status(esa)],[m__3046]) ).
thf(zip_derived_cl37494,plain,
( ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xn @ xn ) )
| ( ( sdtasdt0 @ xn @ xq )
= sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl37472,zip_derived_cl90]) ).
thf(zip_derived_cl37495,plain,
( ( sdtasdt0 @ xn @ xq )
= sk__7 ),
inference(simplify,[status(thm)],[zip_derived_cl37494]) ).
thf(zip_derived_cl37496,plain,
( ( sdtasdt0 @ xm @ xm )
= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl6259,zip_derived_cl37495]) ).
thf(zip_derived_cl70078,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 )
| ~ ( isPrime0 @ X1 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X0 ) )
!= sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl1298,zip_derived_cl37496]) ).
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_cl70079,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X0 ) )
!= sk__7 )
| ~ ( isPrime0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl70078,zip_derived_cl66]) ).
thf(zip_derived_cl70098,plain,
( ~ ( aNaturalNumber0 @ xq )
| ( ( sdtasdt0 @ xn @ xq )
!= sk__7 )
| ~ ( isPrime0 @ xp )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xq )
| ( xq = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl70079]) ).
thf(zip_derived_cl97_013,plain,
aNaturalNumber0 @ xq,
inference(cnf,[status(esa)],[m__3059]) ).
thf(zip_derived_cl37495_014,plain,
( ( sdtasdt0 @ xn @ xq )
= sk__7 ),
inference(simplify,[status(thm)],[zip_derived_cl37494]) ).
thf(m__3025,axiom,
( ( isPrime0 @ xp )
& ! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( ? [W1: $i] :
( ( xp
= ( sdtasdt0 @ W0 @ W1 ) )
& ( aNaturalNumber0 @ W1 ) )
| ( doDivides0 @ W0 @ xp ) ) )
=> ( ( W0 = sz10 )
| ( W0 = xp ) ) )
& ( xp != sz10 ) ) ).
thf(zip_derived_cl88,plain,
isPrime0 @ xp,
inference(cnf,[status(esa)],[m__3025]) ).
thf(zip_derived_cl74_015,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl97_016,plain,
aNaturalNumber0 @ xq,
inference(cnf,[status(esa)],[m__3059]) ).
thf(zip_derived_cl70140,plain,
( ( sk__7 != sk__7 )
| ( xq = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl70098,zip_derived_cl97,zip_derived_cl37495,zip_derived_cl88,zip_derived_cl74,zip_derived_cl97]) ).
thf(zip_derived_cl70141,plain,
xq = sz00,
inference(simplify,[status(thm)],[zip_derived_cl70140]) ).
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(zip_derived_cl11_017,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(zip_derived_cl351,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( sz00
= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ sz00 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl11]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl365,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sz00
= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ sz00 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl1]) ).
thf(zip_derived_cl5_018,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl4736,plain,
! [X0: $i,X1: $i] :
( ( sz00
= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ sz00 ) ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl365,zip_derived_cl5]) ).
thf(zip_derived_cl95,plain,
( xq
= ( sdtsldt0 @ xn @ xp ) ),
inference(cnf,[status(esa)],[m__3059]) ).
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_cl1058,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xn )
| ( X0 != xq )
| ( xn
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( doDivides0 @ xp @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl53]) ).
thf(zip_derived_cl74_019,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl76_020,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl94,plain,
doDivides0 @ xp @ xn,
inference(cnf,[status(esa)],[m__3046]) ).
thf(zip_derived_cl1065,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 != xq )
| ( xn
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1058,zip_derived_cl74,zip_derived_cl76,zip_derived_cl94]) ).
thf(zip_derived_cl71_021,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1066,plain,
! [X0: $i] :
( ( X0 != xq )
| ( xn
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1065,zip_derived_cl71]) ).
thf(zip_derived_cl4767,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xp )
| ( ( sdtasdt0 @ X0 @ sz00 )
!= xq )
| ( xn = sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4736,zip_derived_cl1066]) ).
thf(zip_derived_cl74_022,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl4812,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ X0 @ sz00 )
!= xq )
| ( xn = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl4767,zip_derived_cl74]) ).
thf(zip_derived_cl73,plain,
xn != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl4813,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ X0 @ sz00 )
!= xq ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4812,zip_derived_cl73]) ).
thf(zip_derived_cl4817,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( sz00 != xq ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl4813]) ).
thf(zip_derived_cl1_023,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1_024,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl4825,plain,
sz00 != xq,
inference(demod,[status(thm)],[zip_derived_cl4817,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl70142,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70141,zip_derived_cl4825]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM529+3 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mrkdkYtKer true
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 16:36:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.84 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 52.02/8.09 % Solved by fo/fo13.sh.
% 52.02/8.09 % done 4279 iterations in 7.303s
% 52.02/8.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 52.02/8.09 % SZS output start Refutation
% See solution above
% 52.02/8.09
% 52.02/8.09
% 52.02/8.09 % Terminating...
% 52.69/8.16 % Runner terminated.
% 52.69/8.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------