TSTP Solution File: NUM462+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM462+2 : 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.tzrWyzvXxL true
% Computer : n023.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 12:41:37 EDT 2023
% Result : Theorem 0.56s 0.94s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 18
% Syntax : Number of formulae : 106 ( 30 unt; 9 typ; 0 def)
% Number of atoms : 277 ( 136 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1086 ( 156 ~; 110 |; 24 &; 750 @)
% ( 0 <=>; 8 =>; 38 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 70 ( 0 ^; 65 !; 5 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(xn_type,type,
xn: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(xm_type,type,
xm: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xl_type,type,
xl: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(mSortsB_02,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(m__897_03,axiom,
( ( sdtlseqdt0 @ xl @ xn )
& ? [W0: $i] :
( ( ( sdtpldt0 @ xl @ W0 )
= xn )
& ( aNaturalNumber0 @ W0 ) )
& ( xl != xn )
& ( xm != sz00 ) ) ).
thf(zip_derived_cl45,plain,
( ( sdtpldt0 @ xl @ sk__1 )
= xn ),
inference(cnf,[status(esa)],[m__897_03]) ).
thf(mAMDistr,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
= ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ X0 @ X2 ) @ X1 )
= ( sdtpldt0 @ ( sdtasdt0 @ X0 @ X1 ) @ ( sdtasdt0 @ X2 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[mAMDistr]) ).
thf(m__,conjecture,
( ( ( sdtasdt0 @ xm @ xl )
!= ( sdtasdt0 @ xm @ xn ) )
& ( ( sdtlseqdt0 @ ( sdtasdt0 @ xm @ xl ) @ ( sdtasdt0 @ xm @ xn ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xm @ xl ) @ W0 )
= ( sdtasdt0 @ xm @ xn ) )
& ( aNaturalNumber0 @ W0 ) ) )
& ( ( sdtasdt0 @ xl @ xm )
!= ( sdtasdt0 @ xn @ xm ) )
& ( ( sdtlseqdt0 @ ( sdtasdt0 @ xl @ xm ) @ ( sdtasdt0 @ xn @ xm ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xm ) @ W0 )
= ( sdtasdt0 @ xn @ xm ) )
& ( aNaturalNumber0 @ W0 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( sdtasdt0 @ xm @ xl )
!= ( sdtasdt0 @ xm @ xn ) )
& ( ( sdtlseqdt0 @ ( sdtasdt0 @ xm @ xl ) @ ( sdtasdt0 @ xm @ xn ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xm @ xl ) @ W0 )
= ( sdtasdt0 @ xm @ xn ) )
& ( aNaturalNumber0 @ W0 ) ) )
& ( ( sdtasdt0 @ xl @ xm )
!= ( sdtasdt0 @ xn @ xm ) )
& ( ( sdtlseqdt0 @ ( sdtasdt0 @ xl @ xm ) @ ( sdtasdt0 @ xn @ xm ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xm ) @ W0 )
= ( sdtasdt0 @ xn @ xm ) )
& ( aNaturalNumber0 @ W0 ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ xm @ xl )
= ( sdtasdt0 @ xm @ xn ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xm @ xl ) @ X0 )
!= ( sdtasdt0 @ xm @ xn ) )
| ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xm ) @ X1 )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl56,plain,
( ! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xm ) @ X1 )
!= ( sdtasdt0 @ xn @ xm ) ) )
<= ! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xm ) @ X1 )
!= ( sdtasdt0 @ xn @ xm ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl469,plain,
( ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xl )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ xm ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xl @ X0 ) @ xm )
!= ( sdtasdt0 @ xn @ xm ) ) )
<= ! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xm ) @ X1 )
!= ( sdtasdt0 @ xn @ xm ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl56]) ).
thf(m__897,axiom,
( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xl )
& ( aNaturalNumber0 @ xm ) ) ).
thf(zip_derived_cl42,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__897]) ).
thf(zip_derived_cl41,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__897]) ).
thf(zip_derived_cl517,plain,
( ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ xm ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xl @ X0 ) @ xm )
!= ( sdtasdt0 @ xn @ xm ) ) )
<= ! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xm ) @ X1 )
!= ( sdtasdt0 @ xn @ xm ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl469,zip_derived_cl42,zip_derived_cl41]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xm @ xl )
= ( sdtasdt0 @ xm @ xn ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xm @ xl ) @ X0 )
!= ( sdtasdt0 @ xm @ xn ) )
| ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xl @ xm ) @ ( sdtasdt0 @ xn @ xm ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55,plain,
( ( ( sdtasdt0 @ xm @ xl )
= ( sdtasdt0 @ xm @ xn ) )
<= ( ( sdtasdt0 @ xm @ xl )
= ( sdtasdt0 @ xm @ xn ) ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl10_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(m_AddZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
thf(zip_derived_cl56_002,plain,
( ! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xm ) @ X1 )
!= ( sdtasdt0 @ xn @ xm ) ) )
<= ! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xm ) @ X1 )
!= ( sdtasdt0 @ xn @ xm ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl75,plain,
( ( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xl @ xm ) )
| ~ ( aNaturalNumber0 @ sz00 )
| ( ( sdtasdt0 @ xl @ xm )
!= ( sdtasdt0 @ xn @ xm ) ) )
<= ! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xm ) @ X1 )
!= ( sdtasdt0 @ xn @ xm ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl56]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl77,plain,
( ( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xl @ xm ) )
| ( ( sdtasdt0 @ xl @ xm )
!= ( sdtasdt0 @ xn @ xm ) ) )
<= ! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xm ) @ X1 )
!= ( sdtasdt0 @ xn @ xm ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl1]) ).
thf(zip_derived_cl88,plain,
( ( ( sdtasdt0 @ xl @ xm )
!= ( sdtasdt0 @ xn @ xm ) )
<= ( ( sdtasdt0 @ xl @ xm )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl251,plain,
( ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtasdt0 @ xl @ xm )
!= ( sdtasdt0 @ xm @ xn ) ) )
<= ( ( sdtasdt0 @ xl @ xm )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl88]) ).
thf(zip_derived_cl40,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__897]) ).
thf(zip_derived_cl42_003,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__897]) ).
thf(zip_derived_cl295,plain,
( ( ( sdtasdt0 @ xl @ xm )
!= ( sdtasdt0 @ xm @ xn ) )
<= ( ( sdtasdt0 @ xl @ xm )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl251,zip_derived_cl40,zip_derived_cl42]) ).
thf(zip_derived_cl306,plain,
( ( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xl )
| ( ( sdtasdt0 @ xm @ xl )
!= ( sdtasdt0 @ xm @ xn ) ) )
<= ( ( sdtasdt0 @ xl @ xm )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl295]) ).
thf(zip_derived_cl42_004,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__897]) ).
thf(zip_derived_cl41_005,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__897]) ).
thf(zip_derived_cl309,plain,
( ( ( sdtasdt0 @ xm @ xl )
!= ( sdtasdt0 @ xm @ xn ) )
<= ( ( sdtasdt0 @ xl @ xm )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl306,zip_derived_cl42,zip_derived_cl41]) ).
thf(zip_derived_cl311,plain,
( ( ( sdtasdt0 @ xm @ xl )
!= ( sdtasdt0 @ xm @ xl ) )
<= ( ( ( sdtasdt0 @ xl @ xm )
!= ( sdtasdt0 @ xn @ xm ) )
& ( ( sdtasdt0 @ xm @ xl )
= ( sdtasdt0 @ xm @ xn ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl309]) ).
thf('0',plain,
( ( ( sdtasdt0 @ xm @ xl )
!= ( sdtasdt0 @ xm @ xn ) )
| ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl311]) ).
thf(zip_derived_cl54,plain,
( ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl54_006,plain,
( ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl10_007,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl266,plain,
( ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xm @ xn ) ) )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl54,zip_derived_cl10]) ).
thf(zip_derived_cl40_008,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__897]) ).
thf(zip_derived_cl42_009,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__897]) ).
thf(zip_derived_cl280,plain,
( ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xm @ xn ) )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl40,zip_derived_cl42]) ).
thf(zip_derived_cl367,plain,
( ( ( sdtasdt0 @ xm @ xn )
= ( sdtasdt0 @ xn @ xm ) )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl280]) ).
thf(zip_derived_cl280_010,plain,
( ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xm @ xn ) )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl40,zip_derived_cl42]) ).
thf(zip_derived_cl10_011,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl369,plain,
( ( ~ ( aNaturalNumber0 @ xl )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtasdt0 @ xm @ xn )
= ( sdtasdt0 @ xm @ xl ) ) )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl280,zip_derived_cl10]) ).
thf(zip_derived_cl41_012,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__897]) ).
thf(zip_derived_cl42_013,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__897]) ).
thf(zip_derived_cl378,plain,
( ( ( sdtasdt0 @ xm @ xn )
= ( sdtasdt0 @ xm @ xl ) )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl369,zip_derived_cl41,zip_derived_cl42]) ).
thf(zip_derived_cl739,plain,
( ( ( sdtasdt0 @ xm @ xl )
= ( sdtasdt0 @ xn @ xm ) )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl378]) ).
thf(zip_derived_cl280_014,plain,
( ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xm @ xn ) )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl40,zip_derived_cl42]) ).
thf(mMulCanc,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( W0 != sz00 )
=> ! [W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W0 @ W2 ) )
| ( ( sdtasdt0 @ W1 @ W0 )
= ( sdtasdt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( ( sdtasdt0 @ X2 @ X0 )
!= ( sdtasdt0 @ X1 @ X0 ) )
| ( X2 = X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulCanc]) ).
thf(zip_derived_cl678,plain,
( ! [X0: $i] :
( ( xm = sz00 )
| ( ( sdtasdt0 @ xm @ xn )
!= ( sdtasdt0 @ X0 @ xm ) )
| ( xl = X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xl )
| ~ ( aNaturalNumber0 @ xm ) )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl20]) ).
thf(zip_derived_cl41_015,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__897]) ).
thf(zip_derived_cl42_016,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__897]) ).
thf(zip_derived_cl705,plain,
( ! [X0: $i] :
( ( xm = sz00 )
| ( ( sdtasdt0 @ xm @ xn )
!= ( sdtasdt0 @ X0 @ xm ) )
| ( xl = X0 )
| ~ ( aNaturalNumber0 @ X0 ) )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl678,zip_derived_cl41,zip_derived_cl42]) ).
thf(zip_derived_cl43,plain,
xm != sz00,
inference(cnf,[status(esa)],[m__897_03]) ).
thf(zip_derived_cl706,plain,
( ! [X0: $i] :
( ( ( sdtasdt0 @ xm @ xn )
!= ( sdtasdt0 @ X0 @ xm ) )
| ( xl = X0 )
| ~ ( aNaturalNumber0 @ X0 ) )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl705,zip_derived_cl43]) ).
thf(zip_derived_cl378_017,plain,
( ( ( sdtasdt0 @ xm @ xn )
= ( sdtasdt0 @ xm @ xl ) )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl369,zip_derived_cl41,zip_derived_cl42]) ).
thf(zip_derived_cl1085,plain,
( ! [X0: $i] :
( ( ( sdtasdt0 @ xm @ xl )
!= ( sdtasdt0 @ X0 @ xm ) )
| ( xl = X0 )
| ~ ( aNaturalNumber0 @ X0 ) )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl378]) ).
thf(zip_derived_cl1091,plain,
( ( ( ( sdtasdt0 @ xm @ xl )
!= ( sdtasdt0 @ xm @ xl ) )
| ( xl = xn )
| ~ ( aNaturalNumber0 @ xn ) )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl739,zip_derived_cl1085]) ).
thf(zip_derived_cl40_018,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__897]) ).
thf(zip_derived_cl1099,plain,
( ( ( ( sdtasdt0 @ xm @ xl )
!= ( sdtasdt0 @ xm @ xl ) )
| ( xl = xn ) )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1091,zip_derived_cl40]) ).
thf(zip_derived_cl1100,plain,
( ( xl = xn )
<= ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1099]) ).
thf(zip_derived_cl44,plain,
xl != xn,
inference(cnf,[status(esa)],[m__897_03]) ).
thf('1',plain,
( ( sdtasdt0 @ xl @ xm )
!= ( sdtasdt0 @ xn @ xm ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1100,zip_derived_cl44]) ).
thf(zip_derived_cl5_019,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl45_020,plain,
( ( sdtpldt0 @ xl @ sk__1 )
= xn ),
inference(cnf,[status(esa)],[m__897_03]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mAMDistr]) ).
thf(zip_derived_cl52,plain,
( ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xm @ xl ) @ X0 )
!= ( sdtasdt0 @ xm @ xn ) ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xm @ xl ) @ X0 )
!= ( sdtasdt0 @ xm @ xn ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl397,plain,
( ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xl )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ X0 ) )
| ( ( sdtasdt0 @ xm @ ( sdtpldt0 @ xl @ X0 ) )
!= ( sdtasdt0 @ xm @ xn ) ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xm @ xl ) @ X0 )
!= ( sdtasdt0 @ xm @ xn ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl52]) ).
thf(zip_derived_cl42_021,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__897]) ).
thf(zip_derived_cl41_022,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__897]) ).
thf(zip_derived_cl443,plain,
( ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ X0 ) )
| ( ( sdtasdt0 @ xm @ ( sdtpldt0 @ xl @ X0 ) )
!= ( sdtasdt0 @ xm @ xn ) ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xm @ xl ) @ X0 )
!= ( sdtasdt0 @ xm @ xn ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl397,zip_derived_cl42,zip_derived_cl41]) ).
thf(zip_derived_cl1590,plain,
( ( ~ ( aNaturalNumber0 @ sk__1 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ sk__1 ) )
| ( ( sdtasdt0 @ xm @ xn )
!= ( sdtasdt0 @ xm @ xn ) ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xm @ xl ) @ X0 )
!= ( sdtasdt0 @ xm @ xn ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl443]) ).
thf(zip_derived_cl46,plain,
aNaturalNumber0 @ sk__1,
inference(cnf,[status(esa)],[m__897_03]) ).
thf(zip_derived_cl1597,plain,
( ( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ sk__1 ) )
| ( ( sdtasdt0 @ xm @ xn )
!= ( sdtasdt0 @ xm @ xn ) ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xm @ xl ) @ X0 )
!= ( sdtasdt0 @ xm @ xn ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1590,zip_derived_cl46]) ).
thf(zip_derived_cl1598,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ sk__1 ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xm @ xl ) @ X0 )
!= ( sdtasdt0 @ xm @ xn ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1597]) ).
thf(zip_derived_cl1600,plain,
( ( ~ ( aNaturalNumber0 @ sk__1 )
| ~ ( aNaturalNumber0 @ xm ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xm @ xl ) @ X0 )
!= ( sdtasdt0 @ xm @ xn ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1598]) ).
thf(zip_derived_cl46_023,plain,
aNaturalNumber0 @ sk__1,
inference(cnf,[status(esa)],[m__897_03]) ).
thf(zip_derived_cl42_024,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__897]) ).
thf('2',plain,
~ ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xm @ xl ) @ X0 )
!= ( sdtasdt0 @ xm @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1600,zip_derived_cl46,zip_derived_cl42]) ).
thf('3',plain,
( ! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xm ) @ X1 )
!= ( sdtasdt0 @ xn @ xm ) ) )
| ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xm @ xl ) @ X0 )
!= ( sdtasdt0 @ xm @ xn ) ) )
| ( ( sdtasdt0 @ xl @ xm )
= ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xm @ xl )
= ( sdtasdt0 @ xm @ xn ) ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf('4',plain,
! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xm ) @ X1 )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).
thf(zip_derived_cl1658,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ xm ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xl @ X0 ) @ xm )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl517,'4']) ).
thf(zip_derived_cl1665,plain,
( ~ ( aNaturalNumber0 @ sk__1 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ sk__1 @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl1658]) ).
thf(zip_derived_cl46_025,plain,
aNaturalNumber0 @ sk__1,
inference(cnf,[status(esa)],[m__897_03]) ).
thf(zip_derived_cl1674,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ sk__1 @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1665,zip_derived_cl46]) ).
thf(zip_derived_cl1675,plain,
~ ( aNaturalNumber0 @ ( sdtasdt0 @ sk__1 @ xm ) ),
inference(simplify,[status(thm)],[zip_derived_cl1674]) ).
thf(zip_derived_cl1677,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1675]) ).
thf(zip_derived_cl42_026,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__897]) ).
thf(zip_derived_cl46_027,plain,
aNaturalNumber0 @ sk__1,
inference(cnf,[status(esa)],[m__897_03]) ).
thf(zip_derived_cl1680,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1677,zip_derived_cl42,zip_derived_cl46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM462+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tzrWyzvXxL true
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 17:06:11 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.47/0.63 % Total configuration time : 435
% 0.47/0.63 % Estimated wc time : 1092
% 0.47/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75 % /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
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.94 % Solved by fo/fo1_av.sh.
% 0.56/0.94 % done 413 iterations in 0.173s
% 0.56/0.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.94 % SZS output start Refutation
% See solution above
% 0.56/0.94
% 0.56/0.94
% 0.56/0.94 % Terminating...
% 1.94/1.04 % Runner terminated.
% 1.94/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------