TSTP Solution File: NUM471+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM471+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.K5i3PJdiMj 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 12:41:41 EDT 2023
% Result : Theorem 144.96s 21.52s
% Output : Refutation 144.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 25
% Syntax : Number of formulae : 140 ( 64 unt; 12 typ; 0 def)
% Number of atoms : 322 ( 102 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 843 ( 139 ~; 161 |; 21 &; 510 @)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 90 ( 0 ^; 89 !; 1 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sdtsldt0_type,type,
sdtsldt0: $i > $i > $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xq_type,type,
xq: $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(xp_type,type,
xp: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xn_type,type,
xn: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xl_type,type,
xl: $i ).
thf(m__,conjecture,
sdtlseqdt0 @ xp @ xq ).
thf(zf_stmt_0,negated_conjecture,
~ ( sdtlseqdt0 @ xp @ xq ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl65,plain,
~ ( sdtlseqdt0 @ xp @ xq ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mAddComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(m__1379,axiom,
( xq
= ( sdtsldt0 @ ( sdtpldt0 @ xm @ xn ) @ xl ) ) ).
thf(zip_derived_cl64,plain,
( xq
= ( sdtsldt0 @ ( sdtpldt0 @ xm @ xn ) @ xl ) ),
inference(cnf,[status(esa)],[m__1379]) ).
thf(zip_derived_cl109,plain,
( ( xq
= ( sdtsldt0 @ ( sdtpldt0 @ xn @ xm ) @ xl ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl64]) ).
thf(m__1324,axiom,
( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xl ) ) ).
thf(zip_derived_cl58,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl57,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl143,plain,
( xq
= ( sdtsldt0 @ ( sdtpldt0 @ xn @ xm ) @ xl ) ),
inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl58,zip_derived_cl57]) ).
thf(zip_derived_cl6_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(m__1324_04,axiom,
( ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) )
& ( doDivides0 @ xl @ xm ) ) ).
thf(zip_derived_cl60,plain,
doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ),
inference(cnf,[status(esa)],[m__1324_04]) ).
thf(zip_derived_cl108,plain,
( ( doDivides0 @ xl @ ( sdtpldt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl60]) ).
thf(zip_derived_cl58_002,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl57_003,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl142,plain,
doDivides0 @ xl @ ( sdtpldt0 @ xn @ xm ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl58,zip_derived_cl57]) ).
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_cl939,plain,
! [X0: $i,X1: $i] :
( ~ ( doDivides0 @ X1 @ X0 )
| ( X0
= ( sdtasdt0 @ X1 @ ( sdtsldt0 @ X0 @ X1 ) ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl48073,plain,
( ( xl = sz00 )
| ~ ( aNaturalNumber0 @ xl )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
| ( ( sdtpldt0 @ xn @ xm )
= ( sdtasdt0 @ xl @ ( sdtsldt0 @ ( sdtpldt0 @ xn @ xm ) @ xl ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl939]) ).
thf(zip_derived_cl59,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl6_004,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl57_005,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl99,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xn @ X0 )
= ( sdtpldt0 @ X0 @ xn ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl57]) ).
thf(zip_derived_cl6_006,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl58_007,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl98,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xm @ X0 )
= ( sdtpldt0 @ X0 @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl58]) ).
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_cl2086,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl98,zip_derived_cl4]) ).
thf(zip_derived_cl58_008,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl2117,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2086,zip_derived_cl58]) ).
thf(zip_derived_cl2118,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2117]) ).
thf(zip_derived_cl3939,plain,
( ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('sup+',[status(thm)],[zip_derived_cl99,zip_derived_cl2118]) ).
thf(zip_derived_cl58_009,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl57_010,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl3952,plain,
aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ),
inference(demod,[status(thm)],[zip_derived_cl3939,zip_derived_cl58,zip_derived_cl57]) ).
thf(zip_derived_cl143_011,plain,
( xq
= ( sdtsldt0 @ ( sdtpldt0 @ xn @ xm ) @ xl ) ),
inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl58,zip_derived_cl57]) ).
thf(zip_derived_cl48133,plain,
( ( xl = sz00 )
| ( ( sdtpldt0 @ xn @ xm )
= ( sdtasdt0 @ xl @ xq ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48073,zip_derived_cl59,zip_derived_cl3952,zip_derived_cl143]) ).
thf(m__1347,axiom,
xl != sz00 ).
thf(zip_derived_cl62,plain,
xl != sz00,
inference(cnf,[status(esa)],[m__1347]) ).
thf(zip_derived_cl48134,plain,
( ( sdtpldt0 @ xn @ xm )
= ( sdtasdt0 @ xl @ xq ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl48133,zip_derived_cl62]) ).
thf(zip_derived_cl48348,plain,
( xq
= ( sdtsldt0 @ ( sdtasdt0 @ xl @ xq ) @ xl ) ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl48134]) ).
thf(m__1360,axiom,
( xp
= ( sdtsldt0 @ xm @ xl ) ) ).
thf(zip_derived_cl63,plain,
( xp
= ( sdtsldt0 @ xm @ xl ) ),
inference(cnf,[status(esa)],[m__1360]) ).
thf(zip_derived_cl53_012,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_cl938,plain,
! [X0: $i] :
( ( X0 != xp )
| ~ ( doDivides0 @ xl @ xm )
| ( xm
= ( sdtasdt0 @ xl @ X0 ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xl )
| ( xl = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl53]) ).
thf(zip_derived_cl61,plain,
doDivides0 @ xl @ xm,
inference(cnf,[status(esa)],[m__1324_04]) ).
thf(zip_derived_cl58_013,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl59_014,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl944,plain,
! [X0: $i] :
( ( X0 != xp )
| ( xm
= ( sdtasdt0 @ xl @ X0 ) )
| ( xl = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl938,zip_derived_cl61,zip_derived_cl58,zip_derived_cl59]) ).
thf(zip_derived_cl62_015,plain,
xl != sz00,
inference(cnf,[status(esa)],[m__1347]) ).
thf(zip_derived_cl945,plain,
! [X0: $i] :
( ( X0 != xp )
| ( xm
= ( sdtasdt0 @ xl @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl944,zip_derived_cl62]) ).
thf(zip_derived_cl1084,plain,
( xm
= ( sdtasdt0 @ xl @ xp ) ),
inference(eq_res,[status(thm)],[zip_derived_cl945]) ).
thf(zip_derived_cl4_016,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl64_017,plain,
( xq
= ( sdtsldt0 @ ( sdtpldt0 @ xm @ xn ) @ xl ) ),
inference(cnf,[status(esa)],[m__1379]) ).
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_cl646,plain,
! [X0: $i] :
( ( X0 != xq )
| ~ ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
| ~ ( aNaturalNumber0 @ xl )
| ( xl = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl52]) ).
thf(zip_derived_cl60_018,plain,
doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ),
inference(cnf,[status(esa)],[m__1324_04]) ).
thf(zip_derived_cl59_019,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl650,plain,
! [X0: $i] :
( ( X0 != xq )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
| ( xl = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl646,zip_derived_cl60,zip_derived_cl59]) ).
thf(zip_derived_cl62_020,plain,
xl != sz00,
inference(cnf,[status(esa)],[m__1347]) ).
thf(zip_derived_cl651,plain,
! [X0: $i] :
( ( X0 != xq )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl650,zip_derived_cl62]) ).
thf(zip_derived_cl2369,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ( aNaturalNumber0 @ X0 )
| ( X0 != xq ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl651]) ).
thf(zip_derived_cl57_021,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl58_022,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl2375,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ X0 )
| ( X0 != xq ) ),
inference(demod,[status(thm)],[zip_derived_cl2369,zip_derived_cl57,zip_derived_cl58]) ).
thf(zip_derived_cl2380,plain,
aNaturalNumber0 @ xq,
inference(eq_res,[status(thm)],[zip_derived_cl2375]) ).
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_cl2382,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ xq )
| ( sdtlseqdt0 @ xq @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2380,zip_derived_cl35]) ).
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_cl2467,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ X0 @ xq )
| ( xq = X0 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X1 @ xq ) @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ xq )
| ( X1 = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2382,zip_derived_cl41]) ).
thf(zip_derived_cl2380_023,plain,
aNaturalNumber0 @ xq,
inference(eq_res,[status(thm)],[zip_derived_cl2375]) ).
thf(zip_derived_cl2510,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ X0 @ xq )
| ( xq = X0 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X1 @ xq ) @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl2467,zip_derived_cl2380]) ).
thf(zip_derived_cl2511,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X1 @ xq ) @ ( sdtasdt0 @ X1 @ X0 ) )
| ( xq = X0 )
| ( sdtlseqdt0 @ X0 @ xq )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2510]) ).
thf(zip_derived_cl206903,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xl @ xq ) @ xm )
| ~ ( aNaturalNumber0 @ xp )
| ( sdtlseqdt0 @ xp @ xq )
| ( xq = xp )
| ~ ( aNaturalNumber0 @ xl )
| ( xl = sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1084,zip_derived_cl2511]) ).
thf(zip_derived_cl63_024,plain,
( xp
= ( sdtsldt0 @ xm @ xl ) ),
inference(cnf,[status(esa)],[m__1360]) ).
thf(zip_derived_cl52_025,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_cl648,plain,
! [X0: $i] :
( ( X0 != xp )
| ~ ( doDivides0 @ xl @ xm )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xl )
| ( xl = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl52]) ).
thf(zip_derived_cl61_026,plain,
doDivides0 @ xl @ xm,
inference(cnf,[status(esa)],[m__1324_04]) ).
thf(zip_derived_cl58_027,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl59_028,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl654,plain,
! [X0: $i] :
( ( X0 != xp )
| ( aNaturalNumber0 @ X0 )
| ( xl = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl648,zip_derived_cl61,zip_derived_cl58,zip_derived_cl59]) ).
thf(zip_derived_cl62_029,plain,
xl != sz00,
inference(cnf,[status(esa)],[m__1347]) ).
thf(zip_derived_cl655,plain,
! [X0: $i] :
( ( X0 != xp )
| ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl654,zip_derived_cl62]) ).
thf(zip_derived_cl851,plain,
aNaturalNumber0 @ xp,
inference(eq_res,[status(thm)],[zip_derived_cl655]) ).
thf(zip_derived_cl65_030,plain,
~ ( sdtlseqdt0 @ xp @ xq ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59_031,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl207070,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xl @ xq ) @ xm )
| ( xq = xp )
| ( xl = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl206903,zip_derived_cl851,zip_derived_cl65,zip_derived_cl59]) ).
thf(zip_derived_cl62_032,plain,
xl != sz00,
inference(cnf,[status(esa)],[m__1347]) ).
thf(zip_derived_cl207071,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xl @ xq ) @ xm )
| ( xq = xp ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl207070,zip_derived_cl62]) ).
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_cl207141,plain,
( ( xq = xp )
| ~ ( sdtlseqdt0 @ xm @ ( sdtasdt0 @ xl @ xq ) )
| ( xm
= ( sdtasdt0 @ xl @ xq ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xl @ xq ) )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl207071,zip_derived_cl32]) ).
thf(zip_derived_cl48134_033,plain,
( ( sdtpldt0 @ xn @ xm )
= ( sdtasdt0 @ xl @ xq ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl48133,zip_derived_cl62]) ).
thf(zip_derived_cl6_034,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(mDefLE,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( ( sdtpldt0 @ W0 @ W2 )
= W1 )
& ( aNaturalNumber0 @ W2 ) ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ X0 @ X2 )
!= X1 ) ),
inference(cnf,[status(esa)],[mDefLE]) ).
thf(zip_derived_cl247,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtpldt0 @ X1 @ X0 )
!= X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X2 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl27]) ).
thf(zip_derived_cl253,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X2 )
| ( sdtlseqdt0 @ X0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X1 @ X0 )
!= X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl247]) ).
thf(zip_derived_cl48384,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xl @ xq )
!= X0 )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ( sdtlseqdt0 @ xm @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl48134,zip_derived_cl253]) ).
thf(zip_derived_cl57_035,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl58_036,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl48445,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xl @ xq )
!= X0 )
| ( sdtlseqdt0 @ xm @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl48384,zip_derived_cl57,zip_derived_cl58]) ).
thf(zip_derived_cl79976,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xl @ xq ) )
| ( sdtlseqdt0 @ xm @ ( sdtasdt0 @ xl @ xq ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl48445]) ).
thf(zip_derived_cl3952_037,plain,
aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ),
inference(demod,[status(thm)],[zip_derived_cl3939,zip_derived_cl58,zip_derived_cl57]) ).
thf(zip_derived_cl48134_038,plain,
( ( sdtpldt0 @ xn @ xm )
= ( sdtasdt0 @ xl @ xq ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl48133,zip_derived_cl62]) ).
thf(zip_derived_cl48349,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xl @ xq ),
inference(demod,[status(thm)],[zip_derived_cl3952,zip_derived_cl48134]) ).
thf(zip_derived_cl79977,plain,
sdtlseqdt0 @ xm @ ( sdtasdt0 @ xl @ xq ),
inference(demod,[status(thm)],[zip_derived_cl79976,zip_derived_cl48349]) ).
thf(zip_derived_cl48349_039,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xl @ xq ),
inference(demod,[status(thm)],[zip_derived_cl3952,zip_derived_cl48134]) ).
thf(zip_derived_cl58_040,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl207164,plain,
( ( xq = xp )
| ( xm
= ( sdtasdt0 @ xl @ xq ) ) ),
inference(demod,[status(thm)],[zip_derived_cl207141,zip_derived_cl79977,zip_derived_cl48349,zip_derived_cl58]) ).
thf(zip_derived_cl945_041,plain,
! [X0: $i] :
( ( X0 != xp )
| ( xm
= ( sdtasdt0 @ xl @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl944,zip_derived_cl62]) ).
thf(zip_derived_cl207177,plain,
( xm
= ( sdtasdt0 @ xl @ xq ) ),
inference(clc,[status(thm)],[zip_derived_cl207164,zip_derived_cl945]) ).
thf(zip_derived_cl63_042,plain,
( xp
= ( sdtsldt0 @ xm @ xl ) ),
inference(cnf,[status(esa)],[m__1360]) ).
thf(zip_derived_cl207180,plain,
xq = xp,
inference(demod,[status(thm)],[zip_derived_cl48348,zip_derived_cl207177,zip_derived_cl63]) ).
thf(zip_derived_cl851_043,plain,
aNaturalNumber0 @ xp,
inference(eq_res,[status(thm)],[zip_derived_cl655]) ).
thf(zip_derived_cl35_044,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(zip_derived_cl853,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ xp )
| ( sdtlseqdt0 @ xp @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl851,zip_derived_cl35]) ).
thf(zip_derived_cl873,plain,
( ~ ( aNaturalNumber0 @ xp )
| ( sdtlseqdt0 @ xp @ xp ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl853]) ).
thf(zip_derived_cl851_045,plain,
aNaturalNumber0 @ xp,
inference(eq_res,[status(thm)],[zip_derived_cl655]) ).
thf(zip_derived_cl874,plain,
sdtlseqdt0 @ xp @ xp,
inference(demod,[status(thm)],[zip_derived_cl873,zip_derived_cl851]) ).
thf(zip_derived_cl208227,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl207180,zip_derived_cl874]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM471+1 : 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.K5i3PJdiMj true
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 10:19:00 EDT 2023
% 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
% 0.13/0.36 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /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
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 144.96/21.52 % Solved by fo/fo5.sh.
% 144.96/21.52 % done 12061 iterations in 20.684s
% 144.96/21.52 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 144.96/21.52 % SZS output start Refutation
% See solution above
% 144.96/21.52
% 144.96/21.52
% 144.96/21.52 % Terminating...
% 145.06/21.60 % Runner terminated.
% 145.06/21.61 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------