%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM541+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.COGYfXJJca true
% Computer : n015.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 Oct 2 04:47:22 PM UTC 2025
% Result : Theorem 33.53s 5.37s
% Output : Refutation 33.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 135 ( 49 unt; 0 typ; 0 def)
% Number of atoms : 324 ( 62 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1037 ( 130 ~; 159 |; 12 &; 718 @)
% ( 5 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 82 ( 0 ^; 82 !; 0 ?; 82 :)
% 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,
( ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) )
<=> ( ( aElementOf0 @ xm @ ( slbdtrb0 @ xn ) )
| ( xm = xn ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) )
<=> ( ( aElementOf0 @ xm @ ( slbdtrb0 @ xn ) )
| ( xm = xn ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl96,plain,
( ( xm != xn )
| ~ ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ 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(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_cl137,plain,
aElementOf0 @ ( szszuzczcdt0 @ xm ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl46]) ).
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_cl574,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ ( szszuzczcdt0 @ xm ) )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl61]) ).
thf(zip_derived_cl6997,plain,
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xn )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ ( szszuzczcdt0 @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl574]) ).
thf(zip_derived_cl94,plain,
( ( xm = xn )
| ( aElementOf0 @ xm @ ( slbdtrb0 @ xn ) )
| ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl92_001,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl46_002,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(zip_derived_cl138,plain,
aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl46]) ).
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_cl88,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( slbdtrb0 @ X0 ) )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X2 ) @ X0 )
| ~ ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefSeg]) ).
thf(zip_derived_cl372,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X1 @ X0 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ ( szszuzczcdt0 @ xn ) )
| ( X0
!= ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl88]) ).
thf(zip_derived_cl2828,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ ( szszuzczcdt0 @ xn ) )
| ~ ( aElementOf0 @ X0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl372]) ).
thf(zip_derived_cl2829,plain,
( ( aElementOf0 @ xm @ ( slbdtrb0 @ xn ) )
| ( xm = xn )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl2828]) ).
thf(zip_derived_cl137_003,plain,
aElementOf0 @ ( szszuzczcdt0 @ xm ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl46]) ).
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_cl465,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ ( szszuzczcdt0 @ xm ) )
| ( ( szszuzczcdt0 @ xm )
= X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl59]) ).
thf(zip_derived_cl3613,plain,
( ( xm = xn )
| ( aElementOf0 @ xm @ ( slbdtrb0 @ xn ) )
| ~ ( aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0 )
| ( ( szszuzczcdt0 @ xm )
= ( szszuzczcdt0 @ xn ) )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ ( szszuzczcdt0 @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2829,zip_derived_cl465]) ).
thf(zip_derived_cl138_004,plain,
aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl46]) ).
thf(zip_derived_cl3618,plain,
( ( xm = xn )
| ( aElementOf0 @ xm @ ( slbdtrb0 @ xn ) )
| ( ( szszuzczcdt0 @ xm )
= ( szszuzczcdt0 @ xn ) )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ ( szszuzczcdt0 @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3613,zip_derived_cl138]) ).
thf(zip_derived_cl3626,plain,
( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ ( szszuzczcdt0 @ xm ) )
| ( aElementOf0 @ xm @ ( slbdtrb0 @ xn ) )
| ( ( szszuzczcdt0 @ xm )
= ( szszuzczcdt0 @ xn ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl3618]) ).
thf(zip_derived_cl7155,plain,
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xn )
| ( ( szszuzczcdt0 @ xm )
= ( szszuzczcdt0 @ xn ) )
| ( aElementOf0 @ xm @ ( slbdtrb0 @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6997,zip_derived_cl3626]) ).
thf(zip_derived_cl92_005,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl88_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( slbdtrb0 @ X0 ) )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X2 ) @ X0 )
| ~ ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefSeg]) ).
thf(zip_derived_cl375,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X1 @ X0 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ xn )
| ( X0
!= ( slbdtrb0 @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl88]) ).
thf(zip_derived_cl1970,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ xn )
| ~ ( aElementOf0 @ X0 @ ( slbdtrb0 @ xn ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl375]) ).
thf(zip_derived_cl7169,plain,
( ( ( szszuzczcdt0 @ xm )
= ( szszuzczcdt0 @ xn ) )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xn ) ),
inference(clc,[status(thm)],[zip_derived_cl7155,zip_derived_cl1970]) ).
thf(zip_derived_cl465_007,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ ( szszuzczcdt0 @ xm ) )
| ( ( szszuzczcdt0 @ xm )
= X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl59]) ).
thf(zip_derived_cl7172,plain,
( ( ( szszuzczcdt0 @ xm )
= ( szszuzczcdt0 @ xn ) )
| ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ( ( szszuzczcdt0 @ xm )
= xn )
| ~ ( sdtlseqdt0 @ xn @ ( szszuzczcdt0 @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7169,zip_derived_cl465]) ).
thf(zip_derived_cl92_008,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl7176,plain,
( ( ( szszuzczcdt0 @ xm )
= ( szszuzczcdt0 @ xn ) )
| ( ( szszuzczcdt0 @ xm )
= xn )
| ~ ( sdtlseqdt0 @ xn @ ( szszuzczcdt0 @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7172,zip_derived_cl92]) ).
thf(zip_derived_cl92_009,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl137_010,plain,
aElementOf0 @ ( szszuzczcdt0 @ xm ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl46]) ).
thf(zip_derived_cl93_011,plain,
aElementOf0 @ xm @ 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_cl940,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ xm @ X0 )
| ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ X1 @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl60]) ).
thf(zip_derived_cl20684,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ X0 @ xm )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ ( szszuzczcdt0 @ xm ) )
| ~ ( sdtlseqdt0 @ xm @ ( szszuzczcdt0 @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl940]) ).
thf(zip_derived_cl93_012,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
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_cl161,plain,
sdtlseqdt0 @ xm @ ( szszuzczcdt0 @ xm ),
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl57]) ).
thf(zip_derived_cl20747,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ X0 @ xm )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ ( szszuzczcdt0 @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20684,zip_derived_cl161]) ).
thf(zip_derived_cl20847,plain,
( ( sdtlseqdt0 @ xn @ ( szszuzczcdt0 @ xm ) )
| ~ ( sdtlseqdt0 @ xn @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl20747]) ).
thf(zip_derived_cl6997_013,plain,
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xn )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ ( szszuzczcdt0 @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl574]) ).
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_cl7154,plain,
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xn )
| ( sdtlseqdt0 @ xn @ xm )
| ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ~ ( aElementOf0 @ xn @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6997,zip_derived_cl56]) ).
thf(zip_derived_cl93_014,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl92_015,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl7159,plain,
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xn )
| ( sdtlseqdt0 @ xn @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl7154,zip_derived_cl93,zip_derived_cl92]) ).
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_cl7160,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ xn @ xm )
| ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ( aElementOf0 @ xm @ X0 )
| ( X0
!= ( slbdtrb0 @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7159,zip_derived_cl86]) ).
thf(zip_derived_cl92_016,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl93_017,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl7164,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ xn @ xm )
| ( aElementOf0 @ xm @ X0 )
| ( X0
!= ( slbdtrb0 @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7160,zip_derived_cl92,zip_derived_cl93]) ).
thf(zip_derived_cl7168,plain,
( ( aElementOf0 @ xm @ ( slbdtrb0 @ xn ) )
| ( sdtlseqdt0 @ xn @ xm ) ),
inference(eq_res,[status(thm)],[zip_derived_cl7164]) ).
thf(zip_derived_cl93_018,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl138_019,plain,
aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl46]) ).
thf(zip_derived_cl61_020,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_cl575,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ ( szszuzczcdt0 @ xn ) )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl61]) ).
thf(zip_derived_cl7107,plain,
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl575]) ).
thf(zip_derived_cl86_021,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_cl7288,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm )
| ~ ( aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0 )
| ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ( aElementOf0 @ xm @ X0 )
| ( X0
!= ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7107,zip_derived_cl86]) ).
thf(zip_derived_cl138_022,plain,
aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl46]) ).
thf(zip_derived_cl93_023,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl7292,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm )
| ( aElementOf0 @ xm @ X0 )
| ( X0
!= ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7288,zip_derived_cl138,zip_derived_cl93]) ).
thf(zip_derived_cl7415,plain,
( ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm ) ),
inference(eq_res,[status(thm)],[zip_derived_cl7292]) ).
thf(zip_derived_cl95,plain,
( ~ ( aElementOf0 @ xm @ ( slbdtrb0 @ xn ) )
| ~ ( aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xn ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7513,plain,
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm )
| ~ ( aElementOf0 @ xm @ ( slbdtrb0 @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7415,zip_derived_cl95]) ).
thf(zip_derived_cl7533,plain,
( ( sdtlseqdt0 @ xn @ xm )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl7168,zip_derived_cl7513]) ).
thf(zip_derived_cl138_024,plain,
aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl46]) ).
thf(zip_derived_cl20747_025,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ X0 @ xm )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ ( szszuzczcdt0 @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20684,zip_derived_cl161]) ).
thf(zip_derived_cl20822,plain,
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ ( szszuzczcdt0 @ xm ) )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl20747]) ).
thf(zip_derived_cl20896,plain,
( ( sdtlseqdt0 @ xn @ xm )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ ( szszuzczcdt0 @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7533,zip_derived_cl20822]) ).
thf(zip_derived_cl93_026,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl92_027,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
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(zip_derived_cl457,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xn @ X0 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ ( szszuzczcdt0 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl55]) ).
thf(zip_derived_cl3450,plain,
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ ( szszuzczcdt0 @ xm ) )
| ~ ( sdtlseqdt0 @ xn @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl457]) ).
thf(zip_derived_cl20900,plain,
sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ ( szszuzczcdt0 @ xm ),
inference(clc,[status(thm)],[zip_derived_cl20896,zip_derived_cl3450]) ).
thf(zip_derived_cl56_028,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_cl20905,plain,
( ( sdtlseqdt0 @ xn @ xm )
| ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ~ ( aElementOf0 @ xn @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20900,zip_derived_cl56]) ).
thf(zip_derived_cl93_029,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl92_030,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl20910,plain,
sdtlseqdt0 @ xn @ xm,
inference(demod,[status(thm)],[zip_derived_cl20905,zip_derived_cl93,zip_derived_cl92]) ).
thf(zip_derived_cl20911,plain,
sdtlseqdt0 @ xn @ ( szszuzczcdt0 @ xm ),
inference(demod,[status(thm)],[zip_derived_cl20847,zip_derived_cl20910]) ).
thf(zip_derived_cl20918,plain,
( ( ( szszuzczcdt0 @ xm )
= ( szszuzczcdt0 @ xn ) )
| ( ( szszuzczcdt0 @ xm )
= xn ) ),
inference(demod,[status(thm)],[zip_derived_cl7176,zip_derived_cl20911]) ).
thf(zip_derived_cl93_031,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(mSuccEquSucc,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( ( szszuzczcdt0 @ W0 )
= ( szszuzczcdt0 @ W1 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( X0 = X1 )
| ( ( szszuzczcdt0 @ X0 )
!= ( szszuzczcdt0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSuccEquSucc]) ).
thf(zip_derived_cl325,plain,
! [X0: $i] :
( ( ( szszuzczcdt0 @ xm )
!= ( szszuzczcdt0 @ X0 ) )
| ( xm = X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl48]) ).
thf(zip_derived_cl20932,plain,
( ( ( szszuzczcdt0 @ xm )
!= ( szszuzczcdt0 @ xm ) )
| ( ( szszuzczcdt0 @ xm )
= xn )
| ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ( xm = xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl20918,zip_derived_cl325]) ).
thf(zip_derived_cl92_032,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl21499,plain,
( ( ( szszuzczcdt0 @ xm )
!= ( szszuzczcdt0 @ xm ) )
| ( ( szszuzczcdt0 @ xm )
= xn )
| ( xm = xn ) ),
inference(demod,[status(thm)],[zip_derived_cl20932,zip_derived_cl92]) ).
thf(zip_derived_cl21500,plain,
( ( xm = xn )
| ( ( szszuzczcdt0 @ xm )
= xn ) ),
inference(simplify,[status(thm)],[zip_derived_cl21499]) ).
thf(zip_derived_cl92_033,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl57_034,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ ( szszuzczcdt0 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mLessSucc]) ).
thf(zip_derived_cl162,plain,
sdtlseqdt0 @ xn @ ( szszuzczcdt0 @ xn ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl57]) ).
thf(zip_derived_cl92_035,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl59_036,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_cl469,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xn @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ xn )
| ( xn = X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl59]) ).
thf(zip_derived_cl2089,plain,
( ~ ( aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0 )
| ( xn
= ( szszuzczcdt0 @ xn ) )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl469]) ).
thf(zip_derived_cl138_037,plain,
aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl46]) ).
thf(zip_derived_cl2091,plain,
( ( xn
= ( szszuzczcdt0 @ xn ) )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl2089,zip_derived_cl138]) ).
thf(zip_derived_cl92_038,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(mNatNSucc,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( W0
!= ( szszuzczcdt0 @ W0 ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( ( X0
!= ( szszuzczcdt0 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mNatNSucc]) ).
thf(zip_derived_cl100,plain,
( xn
!= ( szszuzczcdt0 @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl51]) ).
thf(zip_derived_cl2092,plain,
~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xn ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2091,zip_derived_cl100]) ).
thf(zip_derived_cl21770,plain,
( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ ( szszuzczcdt0 @ xm ) )
| ( xm = xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl21500,zip_derived_cl2092]) ).
thf(zip_derived_cl20900_039,plain,
sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ ( szszuzczcdt0 @ xm ),
inference(clc,[status(thm)],[zip_derived_cl20896,zip_derived_cl3450]) ).
thf(zip_derived_cl22761,plain,
xm = xn,
inference(demod,[status(thm)],[zip_derived_cl21770,zip_derived_cl20900]) ).
thf(zip_derived_cl22761_040,plain,
xm = xn,
inference(demod,[status(thm)],[zip_derived_cl21770,zip_derived_cl20900]) ).
thf(zip_derived_cl137_041,plain,
aElementOf0 @ ( szszuzczcdt0 @ xm ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl46]) ).
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_cl156,plain,
sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ ( szszuzczcdt0 @ xm ),
inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl58]) ).
thf(zip_derived_cl86_042,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_cl675,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ ( szszuzczcdt0 @ xm ) @ szNzAzT0 )
| ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ( aElementOf0 @ xm @ X0 )
| ( X0
!= ( slbdtrb0 @ ( szszuzczcdt0 @ xm ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl86]) ).
thf(zip_derived_cl137_043,plain,
aElementOf0 @ ( szszuzczcdt0 @ xm ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl46]) ).
thf(zip_derived_cl93_044,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1936]) ).
thf(zip_derived_cl679,plain,
! [X0: $i] :
( ( aElementOf0 @ xm @ X0 )
| ( X0
!= ( slbdtrb0 @ ( szszuzczcdt0 @ xm ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl137,zip_derived_cl93]) ).
thf(zip_derived_cl746,plain,
aElementOf0 @ xm @ ( slbdtrb0 @ ( szszuzczcdt0 @ xm ) ),
inference(eq_res,[status(thm)],[zip_derived_cl679]) ).
thf(zip_derived_cl23103,plain,
xm != xm,
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl22761,zip_derived_cl22761,zip_derived_cl746]) ).
thf(zip_derived_cl23104,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl23103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM541+1 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.COGYfXJJca true
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 16:21:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.53/0.64 % Total configuration time : 435
% 0.53/0.64 % Estimated wc time : 1092
% 0.53/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 33.53/5.37 % Solved by fo/fo5.sh.
% 33.53/5.37 % done 4346 iterations in 4.601s
% 33.53/5.37 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 33.53/5.37 % SZS output start Refutation
% See solution above
% 33.53/5.37
% 33.53/5.37
% 33.53/5.37 % Terminating...
% 33.85/5.46 % Runner terminated.
% 33.85/5.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------