TSTP Solution File: NUM541+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM541+2 : 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.h1yakJExnD true
% Computer : n010.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 12:42:14 EDT 2023
% Result : Theorem 7.61s 1.63s
% Output : Refutation 7.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of formulae : 114 ( 32 unt; 9 typ; 0 def)
% Number of atoms : 269 ( 24 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 908 ( 120 ~; 130 |; 17 &; 624 @)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 62 ( 0 ^; 62 !; 0 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(sz00_type,type,
sz00: $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(slbdtrb0_type,type,
slbdtrb0: $i > $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xn_type,type,
xn: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(m__,conjecture,
( ( ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ xn ) )
& ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) ) )
=> ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xn )
| ( aElementOf0 @ xm @ ( slbdtrb0 @ xn ) )
| ( xm = xn ) ) )
& ( ( ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xn )
& ( aElementOf0 @ xm @ ( slbdtrb0 @ xn ) ) )
| ( xm = xn ) )
=> ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ xn ) )
| ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ xn ) )
& ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) ) )
=> ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xn )
| ( aElementOf0 @ xm @ ( slbdtrb0 @ xn ) )
| ( xm = xn ) ) )
& ( ( ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xn )
& ( aElementOf0 @ xm @ ( slbdtrb0 @ xn ) ) )
| ( xm = xn ) )
=> ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ xn ) )
| ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl113,plain,
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ xn ) )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xn )
| ( xm = xn ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__1936,axiom,
( ( aElementOf0 @ xn @ szNzAzT0 )
& ( aElementOf0 @ xm @ szNzAzT0 ) ) ).
thf(zip_derived_cl92,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl93,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(mSuccLess,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
<=> ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ ( szszuzczcdt0 @ W1 ) ) ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ ( szszuzczcdt0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSuccLess]) ).
thf(zip_derived_cl1349,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( sdtlseqdt0 @ xm @ X0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl56]) ).
thf(zip_derived_cl1513,plain,
( ( sdtlseqdt0 @ xm @ xn )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ xn ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl1349]) ).
thf(zip_derived_cl1540,plain,
( ( xm = xn )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xn )
| ( sdtlseqdt0 @ xm @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl1513]) ).
thf(zip_derived_cl93_001,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(mSuccNum,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aElementOf0 @ ( szszuzczcdt0 @ W0 ) @ szNzAzT0 )
& ( ( szszuzczcdt0 @ W0 )
!= sz00 ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(zip_derived_cl92_002,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(mLessTrans,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 )
& ( aElementOf0 @ W2 @ szNzAzT0 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( sdtlseqdt0 @ W0 @ W2 ) ) ) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X2 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ X2 )
| ~ ( sdtlseqdt0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[mLessTrans]) ).
thf(zip_derived_cl1374,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ X0 @ xn )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( sdtlseqdt0 @ xn @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl60]) ).
thf(zip_derived_cl3929,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ xn )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ X1 )
| ~ ( sdtlseqdt0 @ xn @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl1374]) ).
thf(zip_derived_cl3966,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xn )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ X0 )
| ~ ( sdtlseqdt0 @ xn @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl3929]) ).
thf(zip_derived_cl3989,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ xm @ xn )
| ( xm = xn )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ X0 )
| ~ ( sdtlseqdt0 @ xn @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl3966]) ).
thf(zip_derived_cl93_003,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl92_004,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(mLessASymm,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLessASymm]) ).
thf(zip_derived_cl1361,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( xn = X0 )
| ~ ( sdtlseqdt0 @ X0 @ xn )
| ~ ( sdtlseqdt0 @ xn @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl59]) ).
thf(zip_derived_cl3676,plain,
( ( xn = xm )
| ~ ( sdtlseqdt0 @ xm @ xn )
| ~ ( sdtlseqdt0 @ xn @ xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1361]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ ( szszuzczcdt0 @ X1 ) )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mSuccLess]) ).
thf(mLessTotal,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ W1 ) @ W0 ) ) ) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[mLessTotal]) ).
thf(zip_derived_cl103,plain,
( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xn )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ xn ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1427,plain,
( ( sdtlseqdt0 @ xn @ xm )
| ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ xn ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl103]) ).
thf(zip_derived_cl93_005,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl92_006,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl1470,plain,
( ( sdtlseqdt0 @ xn @ xm )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1427,zip_derived_cl93,zip_derived_cl92]) ).
thf(zip_derived_cl1482,plain,
( ~ ( sdtlseqdt0 @ xm @ xn )
| ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ( sdtlseqdt0 @ xn @ xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl1470]) ).
thf(zip_derived_cl92_007,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl93_008,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl1486,plain,
( ~ ( sdtlseqdt0 @ xm @ xn )
| ( sdtlseqdt0 @ xn @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl1482,zip_derived_cl92,zip_derived_cl93]) ).
thf(zip_derived_cl3733,plain,
( ~ ( sdtlseqdt0 @ xm @ xn )
| ( xn = xm ) ),
inference(clc,[status(thm)],[zip_derived_cl3676,zip_derived_cl1486]) ).
thf(zip_derived_cl5220,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xn @ X0 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( xm = xn ) ),
inference(clc,[status(thm)],[zip_derived_cl3989,zip_derived_cl3733]) ).
thf(zip_derived_cl102,plain,
( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xn )
| ~ ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5237,plain,
( ( xm = xn )
| ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ xn @ xn )
| ~ ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5220,zip_derived_cl102]) ).
thf(zip_derived_cl92_009,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl46_010,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(mLessRefl,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( sdtlseqdt0 @ W0 @ W0 ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mLessRefl]) ).
thf(zip_derived_cl92_011,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl92_012,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl56_013,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ ( szszuzczcdt0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSuccLess]) ).
thf(zip_derived_cl1350,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( sdtlseqdt0 @ xn @ X0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ ( szszuzczcdt0 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl56]) ).
thf(zip_derived_cl1686,plain,
( ( sdtlseqdt0 @ xn @ xn )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ ( szszuzczcdt0 @ xn ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl1350]) ).
thf(zip_derived_cl1696,plain,
( ~ ( aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0 )
| ( sdtlseqdt0 @ xn @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl1686]) ).
thf(zip_derived_cl1782,plain,
( ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ( sdtlseqdt0 @ xn @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl1696]) ).
thf(zip_derived_cl92_014,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl1783,plain,
sdtlseqdt0 @ xn @ xn,
inference(demod,[status(thm)],[zip_derived_cl1782,zip_derived_cl92]) ).
thf(zip_derived_cl5252,plain,
( ( xm = xn )
| ~ ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5237,zip_derived_cl92,zip_derived_cl1783]) ).
thf(zip_derived_cl94,plain,
( ( xm != xn )
| ~ ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5257,plain,
~ ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) ),
inference(clc,[status(thm)],[zip_derived_cl5252,zip_derived_cl94]) ).
thf(zip_derived_cl46_015,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(zip_derived_cl5220_016,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xn @ X0 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( xm = xn ) ),
inference(clc,[status(thm)],[zip_derived_cl3989,zip_derived_cl3733]) ).
thf(zip_derived_cl107,plain,
( ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ xn ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5257_017,plain,
~ ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) ),
inference(clc,[status(thm)],[zip_derived_cl5252,zip_derived_cl94]) ).
thf(zip_derived_cl5258,plain,
~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl5257]) ).
thf(zip_derived_cl5269,plain,
( ( xm = xn )
| ~ ( aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ xn @ ( szszuzczcdt0 @ xn ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5220,zip_derived_cl5258]) ).
thf(zip_derived_cl46_018,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(mLessSucc,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( sdtlseqdt0 @ W0 @ ( szszuzczcdt0 @ W0 ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ ( szszuzczcdt0 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mLessSucc]) ).
thf(zip_derived_cl92_019,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl46_020,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(zip_derived_cl1350_021,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( sdtlseqdt0 @ xn @ X0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ ( szszuzczcdt0 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl56]) ).
thf(zip_derived_cl1683,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( sdtlseqdt0 @ xn @ ( szszuzczcdt0 @ X0 ) )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ ( szszuzczcdt0 @ ( szszuzczcdt0 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl1350]) ).
thf(zip_derived_cl2286,plain,
( ( sdtlseqdt0 @ xn @ ( szszuzczcdt0 @ xn ) )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ ( szszuzczcdt0 @ ( szszuzczcdt0 @ xn ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl1683]) ).
thf(zip_derived_cl2301,plain,
( ~ ( aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0 )
| ( sdtlseqdt0 @ xn @ ( szszuzczcdt0 @ xn ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl2286]) ).
thf(zip_derived_cl2316,plain,
( ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ( sdtlseqdt0 @ xn @ ( szszuzczcdt0 @ xn ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl2301]) ).
thf(zip_derived_cl92_022,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl2317,plain,
sdtlseqdt0 @ xn @ ( szszuzczcdt0 @ xn ),
inference(demod,[status(thm)],[zip_derived_cl2316,zip_derived_cl92]) ).
thf(zip_derived_cl5274,plain,
( ( xm = xn )
| ~ ( aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5269,zip_derived_cl2317]) ).
thf(zip_derived_cl5429,plain,
( ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ( xm = xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl5274]) ).
thf(zip_derived_cl92_023,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl5430,plain,
xm = xn,
inference(demod,[status(thm)],[zip_derived_cl5429,zip_derived_cl92]) ).
thf(zip_derived_cl55_024,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ ( szszuzczcdt0 @ X1 ) )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mSuccLess]) ).
thf(zip_derived_cl93_025,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl93_026,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl46_027,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(mDefSeg,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ! [W1: $i] :
( ( W1
= ( slbdtrb0 @ W0 ) )
<=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
<=> ( ( aElementOf0 @ W2 @ szNzAzT0 )
& ( sdtlseqdt0 @ ( szszuzczcdt0 @ W2 ) @ W0 ) ) ) ) ) ) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( slbdtrb0 @ X0 ) )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X2 ) @ X0 )
| ~ ( aElementOf0 @ X2 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefSeg]) ).
thf(zip_derived_cl1262,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ X0 )
| ( aElementOf0 @ X1 @ ( slbdtrb0 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl1829,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ ( szszuzczcdt0 @ X0 ) )
| ( aElementOf0 @ X1 @ ( slbdtrb0 @ ( szszuzczcdt0 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl1262]) ).
thf(zip_derived_cl1939,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ ( szszuzczcdt0 @ xm ) )
| ( aElementOf0 @ X0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ xm ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1829]) ).
thf(zip_derived_cl2047,plain,
( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ xm ) )
| ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xm ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1939]) ).
thf(zip_derived_cl2062,plain,
( ~ ( sdtlseqdt0 @ xm @ xm )
| ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xm ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl2047]) ).
thf(zip_derived_cl46_028,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(zip_derived_cl58_029,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mLessRefl]) ).
thf(zip_derived_cl93_030,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl1349_031,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( sdtlseqdt0 @ xm @ X0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl56]) ).
thf(zip_derived_cl1512,plain,
( ( sdtlseqdt0 @ xm @ xm )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1349]) ).
thf(zip_derived_cl1530,plain,
( ~ ( aElementOf0 @ ( szszuzczcdt0 @ xm ) @ szNzAzT0 )
| ( sdtlseqdt0 @ xm @ xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl1512]) ).
thf(zip_derived_cl1722,plain,
( ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ( sdtlseqdt0 @ xm @ xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl1530]) ).
thf(zip_derived_cl93_032,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl1723,plain,
sdtlseqdt0 @ xm @ xm,
inference(demod,[status(thm)],[zip_derived_cl1722,zip_derived_cl93]) ).
thf(zip_derived_cl93_033,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl93_034,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl2064,plain,
aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl2062,zip_derived_cl1723,zip_derived_cl93,zip_derived_cl93]) ).
thf(zip_derived_cl5586,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5257,zip_derived_cl5430,zip_derived_cl2064]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : NUM541+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.h1yakJExnD true
% 0.14/0.38 % Computer : n010.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8042.1875MB
% 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Fri Aug 25 17:41:20 EDT 2023
% 0.14/0.38 % CPUTime :
% 0.14/0.38 % Running portfolio for 300 s
% 0.14/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38 % Number of cores: 8
% 0.14/0.38 % Python version: Python 3.6.8
% 0.14/0.38 % Running in FO mode
% 0.22/0.58 % Total configuration time : 435
% 0.22/0.58 % Estimated wc time : 1092
% 0.22/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.61/1.63 % Solved by fo/fo6_bce.sh.
% 7.61/1.63 % BCE start: 114
% 7.61/1.63 % BCE eliminated: 3
% 7.61/1.63 % PE start: 111
% 7.61/1.63 logic: eq
% 7.61/1.63 % PE eliminated: 0
% 7.61/1.63 % done 880 iterations in 0.958s
% 7.61/1.63 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.61/1.63 % SZS output start Refutation
% See solution above
% 7.61/1.63
% 7.61/1.63
% 7.72/1.63 % Terminating...
% 7.72/1.71 % Runner terminated.
% 7.72/1.72 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------