TSTP Solution File: NUM452+6 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM452+6 : 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.PkkzNN9ghe true
% Computer : n002.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 12:41:32 EDT 2023
% Result : Theorem 5.68s 1.40s
% Output : Refutation 5.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 31
% Syntax : Number of formulae : 114 ( 39 unt; 18 typ; 0 def)
% Number of atoms : 263 ( 91 equ; 0 cnn)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 933 ( 109 ~; 107 |; 42 &; 657 @)
% ( 5 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 77 ( 0 ^; 69 !; 8 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aInteger0_type,type,
aInteger0: $i > $o ).
thf(sz10_type,type,
sz10: $i ).
thf(xS_type,type,
xS: $i ).
thf(xp_type,type,
xp: $i ).
thf(cS2076_type,type,
cS2076: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sbsmnsldt0_type,type,
sbsmnsldt0: $i > $i ).
thf(szAzrzSzezqlpdtcmdtrp0_type,type,
szAzrzSzezqlpdtcmdtrp0: $i > $i > $i ).
thf(stldt0_type,type,
stldt0: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(aDivisorOf0_type,type,
aDivisorOf0: $i > $i > $o ).
thf(sdteqdtlpzmzozddtrp0_type,type,
sdteqdtlpzmzozddtrp0: $i > $i > $i > $o ).
thf(sk__25_type,type,
sk__25: $i > $i ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(mIntNeg,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( aInteger0 @ ( smndt0 @ W0 ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(mAddZero,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(mMulMinOne,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ W0 )
= ( smndt0 @ W0 ) )
& ( ( smndt0 @ W0 )
= ( sdtasdt0 @ W0 @ ( smndt0 @ sz10 ) ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ( ( smndt0 @ X0 )
= ( sdtasdt0 @ X0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulMinOne]) ).
thf(zip_derived_cl3_001,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(mAddComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(mAddAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 ) )
=> ( ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl311,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtpldt0 @ X0 @ ( sdtpldt0 @ X1 @ X2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl6]) ).
thf(zip_derived_cl321,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtpldt0 @ X0 @ ( sdtpldt0 @ X1 @ X2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl311]) ).
thf(zip_derived_cl8_002,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(mMulOne,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz10 )
= X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulOne]) ).
thf(zip_derived_cl321_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtpldt0 @ X0 @ ( sdtpldt0 @ X1 @ X2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl311]) ).
thf(m__,conjecture,
( ( ( aElementOf0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ? [W0: $i] :
( ( ( sdtasdt0 @ xp @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
& ( aInteger0 @ W0 ) ) )
& ( ( aElementOf0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ? [W0: $i] :
( ( ( sdtasdt0 @ xp @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
& ( aInteger0 @ W0 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( aElementOf0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ? [W0: $i] :
( ( ( sdtasdt0 @ xp @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
& ( aInteger0 @ W0 ) ) )
& ( ( aElementOf0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ? [W0: $i] :
( ( ( sdtasdt0 @ xp @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
& ( aInteger0 @ W0 ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl228,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X1 )
| ( ( sdtasdt0 @ xp @ X1 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ( ( sdtasdt0 @ xp @ X0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3191,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ xp )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ xp @ X0 )
!= ( sdtpldt0 @ xp @ ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ) )
| ( ( sdtasdt0 @ xp @ X1 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl228]) ).
thf(m__2171,axiom,
( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
=> ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( aElementOf0 @ W0 @ W1 )
& ( aElementOf0 @ W1 @ xS ) ) ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W0: $i] :
( ( ( ( aInteger0 @ W0 )
& ( ? [W1: $i] :
( ( ( sdtasdt0 @ xp @ W1 )
= ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
& ( aInteger0 @ W1 ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp ) ) )
=> ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
& ( ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( ( sdtasdt0 @ xp @ W1 )
= ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
& ( aInteger0 @ W1 ) )
& ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp ) ) ) )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
& ( xp != sz00 )
& ( aInteger0 @ xp ) ) ).
thf(zip_derived_cl192,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(mIntOne,axiom,
aInteger0 @ sz10 ).
thf(zip_derived_cl2,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(m__2079,axiom,
( ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
= cS2076 )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( W0 = sz10 )
| ( W0
= ( smndt0 @ sz10 ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( aElementOf0 @ W0 @ W1 )
& ( aElementOf0 @ W1 @ xS ) ) ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ).
thf(zip_derived_cl145,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( X0
!= ( smndt0 @ sz10 ) ) ),
inference(cnf,[status(esa)],[m__2079]) ).
thf(zip_derived_cl147,plain,
( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
= cS2076 ),
inference(cnf,[status(esa)],[m__2079]) ).
thf(zip_derived_cl244,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ cS2076 )
| ( X0
!= ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl147]) ).
thf(zip_derived_cl305,plain,
aElementOf0 @ ( smndt0 @ sz10 ) @ cS2076,
inference(eq_res,[status(thm)],[zip_derived_cl244]) ).
thf(zip_derived_cl142,plain,
! [X0: $i] :
( ( aInteger0 @ X0 )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ),
inference(cnf,[status(esa)],[m__2079]) ).
thf(zip_derived_cl147_004,plain,
( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
= cS2076 ),
inference(cnf,[status(esa)],[m__2079]) ).
thf(zip_derived_cl235,plain,
! [X0: $i] :
( ( aInteger0 @ X0 )
| ~ ( aElementOf0 @ X0 @ cS2076 ) ),
inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl147]) ).
thf(zip_derived_cl343,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference('s_sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl235]) ).
thf(mEquModRef,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( W1 != sz00 ) )
=> ( sdteqdtlpzmzozddtrp0 @ W0 @ W0 @ W1 ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( X1 = sz00 )
| ( sdteqdtlpzmzozddtrp0 @ X0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mEquModRef]) ).
thf(zip_derived_cl195,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( sdteqdtlpzmzozddtrp0 @ X0 @ sz10 @ xp )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl921,plain,
( ( xp = sz00 )
| ~ ( aInteger0 @ xp )
| ~ ( aInteger0 @ sz10 )
| ( aElementOf0 @ sz10 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( aInteger0 @ sz10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl195]) ).
thf(zip_derived_cl192_005,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl2_006,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl2_007,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl922,plain,
( ( xp = sz00 )
| ( aElementOf0 @ sz10 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl921,zip_derived_cl192,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl193,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl923,plain,
aElementOf0 @ sz10 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl922,zip_derived_cl193]) ).
thf(zip_derived_cl200,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xp @ ( sk__25 @ X0 ) )
= ( sdtpldt0 @ X0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aElementOf0 @ X0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ),
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl1033,plain,
( ( sdtasdt0 @ xp @ ( sk__25 @ sz10 ) )
= ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl923,zip_derived_cl200]) ).
thf(mAddNeg,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
= sz00 )
& ( sz00
= ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz00 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddNeg]) ).
thf(zip_derived_cl1033_008,plain,
( ( sdtasdt0 @ xp @ ( sk__25 @ sz10 ) )
= ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl923,zip_derived_cl200]) ).
thf(mZeroDiv,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
= sz00 )
=> ( ( W0 = sz00 )
| ( W1 = sz00 ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( X1 = sz00 )
| ( ( sdtasdt0 @ X0 @ X1 )
!= sz00 ) ),
inference(cnf,[status(esa)],[mZeroDiv]) ).
thf(zip_derived_cl1090,plain,
( ( xp = sz00 )
| ~ ( aInteger0 @ xp )
| ~ ( aInteger0 @ ( sk__25 @ sz10 ) )
| ( ( sk__25 @ sz10 )
= sz00 )
| ( ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) )
!= sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1033,zip_derived_cl22]) ).
thf(zip_derived_cl192_009,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl923_010,plain,
aElementOf0 @ sz10 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl922,zip_derived_cl193]) ).
thf(zip_derived_cl199,plain,
! [X0: $i] :
( ( aInteger0 @ ( sk__25 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ),
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl930,plain,
aInteger0 @ ( sk__25 @ sz10 ),
inference('s_sup-',[status(thm)],[zip_derived_cl923,zip_derived_cl199]) ).
thf(zip_derived_cl1101,plain,
( ( xp = sz00 )
| ( ( sk__25 @ sz10 )
= sz00 )
| ( ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) )
!= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1090,zip_derived_cl192,zip_derived_cl930]) ).
thf(zip_derived_cl193_011,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl1102,plain,
( ( ( sk__25 @ sz10 )
= sz00 )
| ( ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) )
!= sz00 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1101,zip_derived_cl193]) ).
thf(zip_derived_cl1240,plain,
( ~ ( aInteger0 @ sz10 )
| ( ( sk__25 @ sz10 )
= sz00 )
| ( sz00 != sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1102]) ).
thf(zip_derived_cl2_012,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl1241,plain,
( ( ( sk__25 @ sz10 )
= sz00 )
| ( sz00 != sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1240,zip_derived_cl2]) ).
thf(zip_derived_cl1242,plain,
( ( sk__25 @ sz10 )
= sz00 ),
inference(simplify,[status(thm)],[zip_derived_cl1241]) ).
thf(zip_derived_cl1244,plain,
( ( sdtasdt0 @ xp @ sz00 )
= ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl1242]) ).
thf(zip_derived_cl1244_013,plain,
( ( sdtasdt0 @ xp @ sz00 )
= ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1033,zip_derived_cl1242]) ).
thf(zip_derived_cl10_014,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz00 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddNeg]) ).
thf(zip_derived_cl1255,plain,
( ( ( sdtasdt0 @ xp @ sz00 )
= sz00 )
| ~ ( aInteger0 @ sz10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1244,zip_derived_cl10]) ).
thf(zip_derived_cl2_015,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl1261,plain,
( ( sdtasdt0 @ xp @ sz00 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl1255,zip_derived_cl2]) ).
thf(zip_derived_cl1265,plain,
( sz00
= ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1244,zip_derived_cl1261]) ).
thf(zip_derived_cl3252,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ xp @ X0 )
!= ( sdtpldt0 @ xp @ sz00 ) )
| ( ( sdtasdt0 @ xp @ X1 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3191,zip_derived_cl192,zip_derived_cl2,zip_derived_cl343,zip_derived_cl1265]) ).
thf(zip_derived_cl3528,plain,
! [X0: $i] :
( ~ ( aInteger0 @ xp )
| ~ ( aInteger0 @ sz10 )
| ( xp
!= ( sdtpldt0 @ xp @ sz00 ) )
| ( ( sdtasdt0 @ xp @ X0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl3252]) ).
thf(zip_derived_cl192_016,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl2_017,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl3540,plain,
! [X0: $i] :
( ( xp
!= ( sdtpldt0 @ xp @ sz00 ) )
| ( ( sdtasdt0 @ xp @ X0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3528,zip_derived_cl192,zip_derived_cl2]) ).
thf(zip_derived_cl3545,plain,
! [X0: $i] :
( ~ ( aInteger0 @ xp )
| ( xp != xp )
| ( ( sdtasdt0 @ xp @ X0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl3540]) ).
thf(zip_derived_cl192_018,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl3548,plain,
! [X0: $i] :
( ( xp != xp )
| ( ( sdtasdt0 @ xp @ X0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3545,zip_derived_cl192]) ).
thf(zip_derived_cl3549,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ xp @ X0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3548]) ).
thf(zip_derived_cl3559,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( smndt0 @ xp ) )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ xp @ X0 )
!= ( sdtpldt0 @ ( smndt0 @ xp ) @ ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl3549]) ).
thf(zip_derived_cl2_019,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl343_020,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference('s_sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl235]) ).
thf(zip_derived_cl1265_021,plain,
( sz00
= ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1244,zip_derived_cl1261]) ).
thf(zip_derived_cl3567,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( smndt0 @ xp ) )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ xp @ X0 )
!= ( sdtpldt0 @ ( smndt0 @ xp ) @ sz00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3559,zip_derived_cl2,zip_derived_cl343,zip_derived_cl1265]) ).
thf(zip_derived_cl3585,plain,
! [X0: $i] :
( ~ ( aInteger0 @ xp )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ xp @ X0 )
!= ( sdtpldt0 @ ( smndt0 @ xp ) @ sz00 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl3567]) ).
thf(zip_derived_cl192_022,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl3586,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ xp @ X0 )
!= ( sdtpldt0 @ ( smndt0 @ xp ) @ sz00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3585,zip_derived_cl192]) ).
thf(zip_derived_cl3589,plain,
( ~ ( aInteger0 @ xp )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ( ( smndt0 @ xp )
!= ( sdtpldt0 @ ( smndt0 @ xp ) @ sz00 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl3586]) ).
thf(zip_derived_cl192_023,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl343_024,plain,
aInteger0 @ ( smndt0 @ sz10 ),
inference('s_sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl235]) ).
thf(zip_derived_cl3601,plain,
( ( smndt0 @ xp )
!= ( sdtpldt0 @ ( smndt0 @ xp ) @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl3589,zip_derived_cl192,zip_derived_cl343]) ).
thf(zip_derived_cl3606,plain,
( ~ ( aInteger0 @ ( smndt0 @ xp ) )
| ( ( smndt0 @ xp )
!= ( smndt0 @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl3601]) ).
thf(zip_derived_cl3609,plain,
~ ( aInteger0 @ ( smndt0 @ xp ) ),
inference(simplify,[status(thm)],[zip_derived_cl3606]) ).
thf(zip_derived_cl3610,plain,
~ ( aInteger0 @ xp ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl3609]) ).
thf(zip_derived_cl192_025,plain,
aInteger0 @ xp,
inference(cnf,[status(esa)],[m__2171]) ).
thf(zip_derived_cl3611,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3610,zip_derived_cl192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM452+6 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PkkzNN9ghe true
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 11:32:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.68/1.40 % Solved by fo/fo13.sh.
% 5.68/1.40 % done 670 iterations in 0.615s
% 5.68/1.40 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.68/1.40 % SZS output start Refutation
% See solution above
% 5.68/1.41
% 5.68/1.41
% 5.68/1.41 % Terminating...
% 6.00/1.46 % Runner terminated.
% 6.00/1.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------