TSTP Solution File: NUM508+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM508+3 : 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.qpi9a5yHM4 true
% Computer : n027.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 12:41:58 EDT 2023
% Result : Theorem 115.30s 17.28s
% Output : Refutation 115.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 55
% Syntax : Number of formulae : 99 ( 19 unt; 36 typ; 0 def)
% Number of atoms : 249 ( 52 equ; 0 cnn)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 918 ( 103 ~; 113 |; 51 &; 629 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 58 ( 58 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 26 usr; 10 con; 0-3 aty)
% Number of variables : 93 ( 0 ^; 76 !; 17 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $i > $o ).
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $i > $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(xp_type,type,
xp: $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $o ).
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(sz00_type,type,
sz00: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $o ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(xn_type,type,
xn: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(xk_type,type,
xk: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(xr_type,type,
xr: $i ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $i > $i > $o ).
thf(mSortsB,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl4_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(m__2362,axiom,
( ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) )
& ? [W0: $i] :
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ? [W0: $i] :
( ( ( sdtpldt0 @ xr @ W0 )
= xk )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zip_derived_cl133,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ sk__12 ) ),
inference(cnf,[status(esa)],[m__2362]) ).
thf(m__2478,axiom,
( ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
& ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
& ( aNaturalNumber0 @ W0 ) )
& ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
!= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ) ).
thf(zip_derived_cl143,plain,
sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ),
inference(cnf,[status(esa)],[m__2478]) ).
thf(m__1799,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W2 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W0 ) )
=> ( ( ( ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ? [W3: $i] :
( ( aNaturalNumber0 @ W3 )
& ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W2 @ W3 ) ) ) )
& ( ( isPrime0 @ W2 )
| ( ! [W3: $i] :
( ( ( doDivides0 @ W3 @ W2 )
& ? [W4: $i] :
( ( aNaturalNumber0 @ W4 )
& ( W2
= ( sdtasdt0 @ W3 @ W4 ) ) )
& ( aNaturalNumber0 @ W3 ) )
=> ( ( W3 = W2 )
| ( W3 = sz10 ) ) )
& ( W2 != sz10 )
& ( W2 != sz00 ) ) ) )
=> ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
=> ( ( ( doDivides0 @ W2 @ W1 )
& ? [W3: $i] :
( ( aNaturalNumber0 @ W3 )
& ( W1
= ( sdtasdt0 @ W2 @ W3 ) ) ) )
| ( ( doDivides0 @ W2 @ W0 )
& ? [W3: $i] :
( ( aNaturalNumber0 @ W3 )
& ( W0
= ( sdtasdt0 @ W2 @ W3 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [W2: $i,W1: $i,W0: $i] :
( ( ? [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W2 @ W3 ) )
& ( aNaturalNumber0 @ W3 ) )
| ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) ) )
=> ( zip_tseitin_0 @ W2 @ W1 @ W0 ) ) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ( ( sdtasdt0 @ X2 @ X1 )
!= ( sdtasdt0 @ X0 @ X3 ) )
| ~ ( aNaturalNumber0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(zf_stmt_1,type,
zip_tseitin_9: $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [W2: $i,W0: $i] :
( ( zip_tseitin_9 @ W2 @ W0 )
=> ( ? [W3: $i] : ( zip_tseitin_8 @ W3 @ W2 @ W0 )
& ( doDivides0 @ W2 @ W0 ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_8: $i > $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [W3: $i,W2: $i,W0: $i] :
( ( zip_tseitin_8 @ W3 @ W2 @ W0 )
=> ( ( W0
= ( sdtasdt0 @ W2 @ W3 ) )
& ( aNaturalNumber0 @ W3 ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_7: $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [W2: $i,W1: $i] :
( ( zip_tseitin_7 @ W2 @ W1 )
=> ( ? [W3: $i] : ( zip_tseitin_6 @ W3 @ W2 @ W1 )
& ( doDivides0 @ W2 @ W1 ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_6: $i > $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [W3: $i,W2: $i,W1: $i] :
( ( zip_tseitin_6 @ W3 @ W2 @ W1 )
=> ( ( W1
= ( sdtasdt0 @ W2 @ W3 ) )
& ( aNaturalNumber0 @ W3 ) ) ) ).
thf(zf_stmt_9,type,
zip_tseitin_5: $i > $o ).
thf(zf_stmt_10,axiom,
! [W2: $i] :
( ( ( ( W2 != sz00 )
& ( W2 != sz10 )
& ! [W3: $i] : ( zip_tseitin_4 @ W3 @ W2 ) )
| ( isPrime0 @ W2 ) )
=> ( zip_tseitin_5 @ W2 ) ) ).
thf(zf_stmt_11,type,
zip_tseitin_4: $i > $i > $o ).
thf(zf_stmt_12,axiom,
! [W3: $i,W2: $i] :
( ( ( zip_tseitin_2 @ W3 @ W2 )
=> ( zip_tseitin_3 @ W3 @ W2 ) )
=> ( zip_tseitin_4 @ W3 @ W2 ) ) ).
thf(zf_stmt_13,type,
zip_tseitin_3: $i > $i > $o ).
thf(zf_stmt_14,axiom,
! [W3: $i,W2: $i] :
( ( ( W3 = sz10 )
| ( W3 = W2 ) )
=> ( zip_tseitin_3 @ W3 @ W2 ) ) ).
thf(zf_stmt_15,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_16,axiom,
! [W3: $i,W2: $i] :
( ( zip_tseitin_2 @ W3 @ W2 )
=> ( ( aNaturalNumber0 @ W3 )
& ? [W4: $i] : ( zip_tseitin_1 @ W4 @ W3 @ W2 )
& ( doDivides0 @ W3 @ W2 ) ) ) ).
thf(zf_stmt_17,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zf_stmt_18,axiom,
! [W4: $i,W3: $i,W2: $i] :
( ( zip_tseitin_1 @ W4 @ W3 @ W2 )
=> ( ( W2
= ( sdtasdt0 @ W3 @ W4 ) )
& ( aNaturalNumber0 @ W4 ) ) ) ).
thf(zf_stmt_19,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zf_stmt_20,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( zip_tseitin_5 @ W2 )
& ( zip_tseitin_0 @ W2 @ W1 @ W0 ) )
=> ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
=> ( ( zip_tseitin_9 @ W2 @ W0 )
| ( zip_tseitin_7 @ W2 @ W1 ) ) ) ) ) ).
thf(zip_derived_cl94,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( zip_tseitin_9 @ X2 @ X1 )
| ( zip_tseitin_7 @ X2 @ X0 )
| ~ ( zip_tseitin_0 @ X2 @ X0 @ X1 )
| ~ ( zip_tseitin_5 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf(zip_derived_cl860,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X0 )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X0 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X0 ) )
| ~ ( zip_tseitin_5 @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ( zip_tseitin_7 @ X0 @ X1 )
| ( zip_tseitin_9 @ X0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl48,zip_derived_cl94]) ).
thf(zip_derived_cl869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aNaturalNumber0 @ X3 )
| ( ( sdtasdt0 @ X0 @ X1 )
!= ( sdtasdt0 @ X2 @ X3 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( zip_tseitin_9 @ X2 @ X0 )
| ( zip_tseitin_7 @ X2 @ X1 )
| ~ ( zip_tseitin_5 @ X2 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ X0 @ X1 ) @ X2 ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ X0 @ X1 ) @ X2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X0 @ X1 ) @ X2 )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl73,zip_derived_cl860]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i] :
( ( doDivides0 @ X0 @ X1 )
| ~ ( zip_tseitin_7 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X3 )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X3 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X3 ) )
| ~ ( zip_tseitin_5 @ X3 )
| ( zip_tseitin_9 @ X3 @ X2 )
| ~ ( aNaturalNumber0 @ X3 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X2 @ X1 )
!= ( sdtasdt0 @ X3 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ X3 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl869,zip_derived_cl89]) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i] :
( ( doDivides0 @ X0 @ X1 )
| ~ ( zip_tseitin_9 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X3 )
| ( ( sdtasdt0 @ X2 @ X1 )
!= ( sdtasdt0 @ X0 @ X3 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( zip_tseitin_5 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X0 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X0 )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ X0 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl878,zip_derived_cl93]) ).
thf(zip_derived_cl4325,plain,
! [X0: $i] :
( ( doDivides0 @ xr @ xn )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) )
| ~ ( zip_tseitin_5 @ xr )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ xr @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl884]) ).
thf(m__,conjecture,
( ( doDivides0 @ xr @ xm )
| ? [W0: $i] :
( ( xm
= ( sdtasdt0 @ xr @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
| ( doDivides0 @ xr @ xn )
| ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xr @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zf_stmt_21,negated_conjecture,
~ ( ( doDivides0 @ xr @ xm )
| ? [W0: $i] :
( ( xm
= ( sdtasdt0 @ xr @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
| ( doDivides0 @ xr @ xn )
| ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xr @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl145,plain,
~ ( doDivides0 @ xr @ xn ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(m__2342,axiom,
( ( isPrime0 @ xr )
& ! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( ? [W1: $i] :
( ( xr
= ( sdtasdt0 @ W0 @ W1 ) )
& ( aNaturalNumber0 @ W1 ) )
| ( doDivides0 @ W0 @ xr ) ) )
=> ( ( W0 = sz10 )
| ( W0 = xr ) ) )
& ( xr != sz10 )
& ( xr != sz00 )
& ( doDivides0 @ xr @ xk )
& ? [W0: $i] :
( ( xk
= ( sdtasdt0 @ xr @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( aNaturalNumber0 @ xr ) ) ).
thf(zip_derived_cl130,plain,
isPrime0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl85,plain,
! [X0: $i] :
( ( zip_tseitin_5 @ X0 )
| ~ ( isPrime0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl929,plain,
zip_tseitin_5 @ xr,
inference('dp-resolution',[status(thm)],[zip_derived_cl130,zip_derived_cl85]) ).
thf(zip_derived_cl122,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(m__1837,axiom,
( ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl4352,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ xr @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl4325,zip_derived_cl145,zip_derived_cl929,zip_derived_cl122,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl140,plain,
( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
!= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2478]) ).
thf(zip_derived_cl4353,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ xr @ xm ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4352,zip_derived_cl140]) ).
thf(zip_derived_cl141,plain,
( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ sk__15 )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2478]) ).
thf(zip_derived_cl4_002,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl3894,plain,
( ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ sk__15 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl141,zip_derived_cl4]) ).
thf(zip_derived_cl142,plain,
aNaturalNumber0 @ sk__15,
inference(cnf,[status(esa)],[m__2478]) ).
thf(zip_derived_cl3921,plain,
( ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3894,zip_derived_cl142]) ).
thf(zip_derived_cl141627,plain,
! [X0: $i] :
( ( doDivides0 @ xr @ xm )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4353,zip_derived_cl3921]) ).
thf(zip_derived_cl147,plain,
~ ( doDivides0 @ xr @ xm ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(zip_derived_cl141628,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl141627,zip_derived_cl147]) ).
thf(zip_derived_cl141660,plain,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ sk__12 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl141628]) ).
thf(zip_derived_cl134,plain,
aNaturalNumber0 @ sk__12,
inference(cnf,[status(esa)],[m__2362]) ).
thf(zip_derived_cl141694,plain,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl141660,zip_derived_cl134]) ).
thf(zip_derived_cl141695,plain,
~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) ),
inference(simplify,[status(thm)],[zip_derived_cl141694]) ).
thf(zip_derived_cl144484,plain,
( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl141695]) ).
thf(zip_derived_cl122_003,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl144491,plain,
~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl144484,zip_derived_cl122]) ).
thf(zip_derived_cl144522,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl144491]) ).
thf(zip_derived_cl71_004,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_005,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl144525,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl144522,zip_derived_cl71,zip_derived_cl72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM508+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qpi9a5yHM4 true
% 0.13/0.34 % Computer : n027.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 : Fri Aug 25 11:55:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % 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
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 115.30/17.28 % Solved by fo/fo3_bce.sh.
% 115.30/17.28 % BCE start: 148
% 115.30/17.28 % BCE eliminated: 1
% 115.30/17.28 % PE start: 147
% 115.30/17.28 logic: eq
% 115.30/17.28 % PE eliminated: -11
% 115.30/17.28 % done 9152 iterations in 16.529s
% 115.30/17.28 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 115.30/17.28 % SZS output start Refutation
% See solution above
% 115.30/17.28
% 115.30/17.28
% 115.30/17.28 % Terminating...
% 116.24/17.39 % Runner terminated.
% 116.24/17.40 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------