%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC394+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xmu6den6OB true
% Computer : n031.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 04:59:38 PM UTC 2025
% Result : Theorem 35.14s 9.79s
% Output : Refutation 35.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 14
% Syntax : Number of formulae : 140 ( 63 unt; 0 typ; 0 def)
% Number of atoms : 366 ( 62 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 1039 ( 165 ~; 176 |; 9 &; 648 @)
% ( 4 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 7 con; 0-2 aty)
% Number of variables : 109 ( 0 ^; 104 !; 5 ?; 109 :)
% Comments :
%------------------------------------------------------------------------------
thf(frontsegP_type,type,
frontsegP: $i > $i > $o ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i > $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(sk__51_type,type,
sk__51: $i ).
thf(sk__50_type,type,
sk__50: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(sk__48_type,type,
sk__48: $i ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ! [Y: $i] :
( ( ssItem @ Y )
=> ( ~ ( memberP @ U @ Y )
| ( memberP @ V @ Y ) ) )
| ( ( ( nil != X )
| ( nil != W ) )
& ( ~ ( neq @ W @ nil )
| ~ ( segmentP @ X @ W ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ! [Y: $i] :
( ( ssItem @ Y )
=> ( ~ ( memberP @ U @ Y )
| ( memberP @ V @ Y ) ) )
| ( ( ( nil != X )
| ( nil != W ) )
& ( ~ ( neq @ W @ nil )
| ~ ( segmentP @ X @ W ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl193,plain,
memberP @ sk__47 @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199,plain,
( ( nil = sk__49 )
| ( segmentP @ sk__50 @ sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl195,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl195_001,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl208,plain,
( ( nil = sk__47 )
| ( segmentP @ sk__48 @ sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl195,zip_derived_cl200,zip_derived_cl195]) ).
thf(ax54,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( ( segmentP @ U @ V )
& ( segmentP @ V @ U ) )
=> ( U = V ) ) ) ) ).
thf(zip_derived_cl133,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ~ ( segmentP @ X0 @ X1 )
| ~ ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax54]) ).
thf(zip_derived_cl578,plain,
( ( nil = sk__47 )
| ~ ( ssList @ sk__48 )
| ( sk__47 = sk__48 )
| ~ ( segmentP @ sk__47 @ sk__48 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl133]) ).
thf(zip_derived_cl201,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_002,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl584,plain,
( ( nil = sk__47 )
| ( sk__47 = sk__48 )
| ~ ( segmentP @ sk__47 @ sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl204,zip_derived_cl190]) ).
thf(zip_derived_cl197,plain,
( ( nil = sk__50 )
| ( segmentP @ sk__50 @ sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_003,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_004,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl195_005,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl207,plain,
( ( nil = sk__48 )
| ( segmentP @ sk__48 @ sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl200,zip_derived_cl200,zip_derived_cl195]) ).
thf(ax7,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( segmentP @ U @ V )
<=> ? [W: $i] :
( ? [X: $i] :
( ( ( app @ ( app @ W @ V ) @ X )
= U )
& ( ssList @ X ) )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( segmentP @ X1 @ X0 )
| ( ( app @ ( app @ ( sk__7 @ X0 @ X1 ) @ X0 ) @ ( sk__8 @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl429,plain,
( ( nil = sk__48 )
| ~ ( ssList @ sk__47 )
| ( ( app @ ( app @ ( sk__7 @ sk__47 @ sk__48 ) @ sk__47 ) @ ( sk__8 @ sk__47 @ sk__48 ) )
= sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl19]) ).
thf(zip_derived_cl190_006,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204_007,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).
thf(zip_derived_cl436,plain,
( ( nil = sk__48 )
| ( ( app @ ( app @ ( sk__7 @ sk__47 @ sk__48 ) @ sk__47 ) @ ( sk__8 @ sk__47 @ sk__48 ) )
= sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl190,zip_derived_cl204]) ).
thf(ax26,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ssList @ ( app @ U @ V ) ) ) ) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
thf(zip_derived_cl193_008,plain,
memberP @ sk__47 @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax36,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( memberP @ ( app @ V @ W ) @ U )
<=> ( ( memberP @ V @ U )
| ( memberP @ W @ U ) ) ) ) ) ) ).
thf(zip_derived_cl109,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X1 @ X2 )
| ( memberP @ ( app @ X0 @ X1 ) @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl1237,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( memberP @ ( app @ X0 @ sk__47 ) @ sk__51 )
| ~ ( ssList @ sk__47 )
| ~ ( ssItem @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl109]) ).
thf(zip_derived_cl190_009,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1253,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( memberP @ ( app @ X0 @ sk__47 ) @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl1237,zip_derived_cl190,zip_derived_cl194]) ).
thf(zip_derived_cl108,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X0 @ X1 )
| ( memberP @ ( app @ X0 @ X2 ) @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl1267,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ ( app @ X0 @ sk__47 ) )
| ( memberP @ ( app @ ( app @ X0 @ sk__47 ) @ X1 ) @ sk__51 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1253,zip_derived_cl108]) ).
thf(zip_derived_cl194_010,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1276,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ ( app @ X0 @ sk__47 ) )
| ( memberP @ ( app @ ( app @ X0 @ sk__47 ) @ X1 ) @ sk__51 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1267,zip_derived_cl194]) ).
thf(zip_derived_cl20958,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ sk__47 )
| ~ ( ssList @ X0 )
| ( memberP @ ( app @ ( app @ X0 @ sk__47 ) @ X1 ) @ sk__51 )
| ~ ( ssList @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl1276]) ).
thf(zip_derived_cl190_011,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20980,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( memberP @ ( app @ ( app @ X0 @ sk__47 ) @ X1 ) @ sk__51 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl20958,zip_derived_cl190]) ).
thf(zip_derived_cl20981,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( memberP @ ( app @ ( app @ X0 @ sk__47 ) @ X1 ) @ sk__51 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20980]) ).
thf(zip_derived_cl27789,plain,
( ( nil = sk__48 )
| ~ ( ssList @ ( sk__8 @ sk__47 @ sk__48 ) )
| ( memberP @ sk__48 @ sk__51 )
| ~ ( ssList @ ( sk__7 @ sk__47 @ sk__48 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl436,zip_derived_cl20981]) ).
thf(zip_derived_cl192,plain,
~ ( memberP @ sk__48 @ sk__51 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27803,plain,
( ( nil = sk__48 )
| ~ ( ssList @ ( sk__8 @ sk__47 @ sk__48 ) )
| ~ ( ssList @ ( sk__7 @ sk__47 @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27789,zip_derived_cl192]) ).
thf(zip_derived_cl207_012,plain,
( ( nil = sk__48 )
| ( segmentP @ sk__48 @ sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl200,zip_derived_cl200,zip_derived_cl195]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( segmentP @ X1 @ X0 )
| ( ssList @ ( sk__8 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl418,plain,
( ( nil = sk__48 )
| ~ ( ssList @ sk__47 )
| ( ssList @ ( sk__8 @ sk__47 @ sk__48 ) )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl18]) ).
thf(zip_derived_cl190_013,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204_014,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).
thf(zip_derived_cl424,plain,
( ( nil = sk__48 )
| ( ssList @ ( sk__8 @ sk__47 @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl418,zip_derived_cl190,zip_derived_cl204]) ).
thf(zip_derived_cl27820,plain,
( ~ ( ssList @ ( sk__7 @ sk__47 @ sk__48 ) )
| ( nil = sk__48 ) ),
inference(clc,[status(thm)],[zip_derived_cl27803,zip_derived_cl424]) ).
thf(zip_derived_cl207_015,plain,
( ( nil = sk__48 )
| ( segmentP @ sk__48 @ sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl200,zip_derived_cl200,zip_derived_cl195]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( segmentP @ X1 @ X0 )
| ( ssList @ ( sk__7 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl459,plain,
( ( nil = sk__48 )
| ~ ( ssList @ sk__47 )
| ( ssList @ ( sk__7 @ sk__47 @ sk__48 ) )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl20]) ).
thf(zip_derived_cl190_016,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204_017,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).
thf(zip_derived_cl465,plain,
( ( nil = sk__48 )
| ( ssList @ ( sk__7 @ sk__47 @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl459,zip_derived_cl190,zip_derived_cl204]) ).
thf(zip_derived_cl27821,plain,
nil = sk__48,
inference(clc,[status(thm)],[zip_derived_cl27820,zip_derived_cl465]) ).
thf(zip_derived_cl27821_018,plain,
nil = sk__48,
inference(clc,[status(thm)],[zip_derived_cl27820,zip_derived_cl465]) ).
thf(ax57,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ nil ) ) ).
thf(zip_derived_cl136,plain,
! [X0: $i] :
( ( segmentP @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax57]) ).
thf(ax42,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( frontsegP @ U @ U ) ) ).
thf(zip_derived_cl117,plain,
! [X0: $i] :
( ( frontsegP @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax42]) ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl193_019,plain,
memberP @ sk__47 @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax3,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( memberP @ U @ V )
<=> ? [W: $i] :
( ? [X: $i] :
( ( ( app @ W @ ( cons @ V @ X ) )
= U )
& ( ssList @ X ) )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ X1 @ X0 )
| ( ( app @ ( sk__2 @ X0 @ X1 ) @ ( cons @ X0 @ ( sk__3 @ X0 @ X1 ) ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl223,plain,
( ~ ( ssItem @ sk__51 )
| ( ( app @ ( sk__2 @ sk__51 @ sk__47 ) @ ( cons @ sk__51 @ ( sk__3 @ sk__51 @ sk__47 ) ) )
= sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl6]) ).
thf(zip_derived_cl194_020,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl190_021,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl224,plain,
( ( app @ ( sk__2 @ sk__51 @ sk__47 ) @ ( cons @ sk__51 @ ( sk__3 @ sk__51 @ sk__47 ) ) )
= sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl194,zip_derived_cl190]) ).
thf(ax43,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( frontsegP @ U @ V )
=> ( frontsegP @ ( app @ U @ W ) @ V ) ) ) ) ) ).
thf(zip_derived_cl118,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X1 @ X0 )
| ( frontsegP @ ( app @ X1 @ X2 ) @ X0 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax43]) ).
thf(zip_derived_cl1468,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ ( sk__2 @ sk__51 @ sk__47 ) @ X0 )
| ( frontsegP @ sk__47 @ X0 )
| ~ ( ssList @ ( cons @ sk__51 @ ( sk__3 @ sk__51 @ sk__47 ) ) )
| ~ ( ssList @ ( sk__2 @ sk__51 @ sk__47 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl224,zip_derived_cl118]) ).
thf(zip_derived_cl193_022,plain,
memberP @ sk__47 @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ X1 @ X0 )
| ( ssList @ ( sk__2 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl233,plain,
( ~ ( ssItem @ sk__51 )
| ( ssList @ ( sk__2 @ sk__51 @ sk__47 ) )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl7]) ).
thf(zip_derived_cl194_023,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl190_024,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl234,plain,
ssList @ ( sk__2 @ sk__51 @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl233,zip_derived_cl194,zip_derived_cl190]) ).
thf(zip_derived_cl1492,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ ( sk__2 @ sk__51 @ sk__47 ) @ X0 )
| ( frontsegP @ sk__47 @ X0 )
| ~ ( ssList @ ( cons @ sk__51 @ ( sk__3 @ sk__51 @ sk__47 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1468,zip_derived_cl234]) ).
thf(zip_derived_cl1725,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__3 @ sk__51 @ sk__47 ) )
| ~ ( ssItem @ sk__51 )
| ~ ( ssList @ X0 )
| ~ ( frontsegP @ ( sk__2 @ sk__51 @ sk__47 ) @ X0 )
| ( frontsegP @ sk__47 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl1492]) ).
thf(zip_derived_cl193_025,plain,
memberP @ sk__47 @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ X1 @ X0 )
| ( ssList @ ( sk__3 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl213,plain,
( ~ ( ssItem @ sk__51 )
| ( ssList @ ( sk__3 @ sk__51 @ sk__47 ) )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl5]) ).
thf(zip_derived_cl194_026,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl190_027,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl214,plain,
ssList @ ( sk__3 @ sk__51 @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl194,zip_derived_cl190]) ).
thf(zip_derived_cl194_028,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1726,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ ( sk__2 @ sk__51 @ sk__47 ) @ X0 )
| ( frontsegP @ sk__47 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1725,zip_derived_cl214,zip_derived_cl194]) ).
thf(zip_derived_cl1727,plain,
( ~ ( ssList @ ( sk__2 @ sk__51 @ sk__47 ) )
| ~ ( ssList @ ( sk__2 @ sk__51 @ sk__47 ) )
| ( frontsegP @ sk__47 @ ( sk__2 @ sk__51 @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl1726]) ).
thf(zip_derived_cl234_029,plain,
ssList @ ( sk__2 @ sk__51 @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl233,zip_derived_cl194,zip_derived_cl190]) ).
thf(zip_derived_cl234_030,plain,
ssList @ ( sk__2 @ sk__51 @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl233,zip_derived_cl194,zip_derived_cl190]) ).
thf(zip_derived_cl1729,plain,
frontsegP @ sk__47 @ ( sk__2 @ sk__51 @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl1727,zip_derived_cl234,zip_derived_cl234]) ).
thf(ax5,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( frontsegP @ U @ V )
<=> ? [W: $i] :
( ( ( app @ V @ W )
= U )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X1 @ X0 )
| ( ( app @ X0 @ ( sk__5 @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2061,plain,
( ~ ( ssList @ ( sk__2 @ sk__51 @ sk__47 ) )
| ( ( app @ ( sk__2 @ sk__51 @ sk__47 ) @ ( sk__5 @ ( sk__2 @ sk__51 @ sk__47 ) @ sk__47 ) )
= sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1729,zip_derived_cl12]) ).
thf(zip_derived_cl234_031,plain,
ssList @ ( sk__2 @ sk__51 @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl233,zip_derived_cl194,zip_derived_cl190]) ).
thf(zip_derived_cl190_032,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2066,plain,
( ( app @ ( sk__2 @ sk__51 @ sk__47 ) @ ( sk__5 @ ( sk__2 @ sk__51 @ sk__47 ) @ sk__47 ) )
= sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl2061,zip_derived_cl234,zip_derived_cl190]) ).
thf(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl97,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X3 @ X0 ) @ X1 )
!= X2 )
| ~ ( ssList @ X3 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl510,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X2 )
| ( ( app @ X0 @ X2 )
!= X1 )
| ~ ( ssList @ nil )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl21]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X2 )
| ( ( app @ X0 @ X2 )
!= X1 )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl510,zip_derived_cl83]) ).
thf(zip_derived_cl519,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X0 )
| ( ( app @ X0 @ X2 )
!= X1 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl518]) ).
thf(zip_derived_cl4557,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( segmentP @ X0 @ ( sk__2 @ sk__51 @ sk__47 ) )
| ( sk__47 != X0 )
| ~ ( ssList @ ( sk__5 @ ( sk__2 @ sk__51 @ sk__47 ) @ sk__47 ) )
| ~ ( ssList @ ( sk__2 @ sk__51 @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2066,zip_derived_cl519]) ).
thf(zip_derived_cl1729_033,plain,
frontsegP @ sk__47 @ ( sk__2 @ sk__51 @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl1727,zip_derived_cl234,zip_derived_cl234]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X1 @ X0 )
| ( ssList @ ( sk__5 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2062,plain,
( ~ ( ssList @ ( sk__2 @ sk__51 @ sk__47 ) )
| ( ssList @ ( sk__5 @ ( sk__2 @ sk__51 @ sk__47 ) @ sk__47 ) )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1729,zip_derived_cl13]) ).
thf(zip_derived_cl234_034,plain,
ssList @ ( sk__2 @ sk__51 @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl233,zip_derived_cl194,zip_derived_cl190]) ).
thf(zip_derived_cl190_035,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2067,plain,
ssList @ ( sk__5 @ ( sk__2 @ sk__51 @ sk__47 ) @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl2062,zip_derived_cl234,zip_derived_cl190]) ).
thf(zip_derived_cl234_036,plain,
ssList @ ( sk__2 @ sk__51 @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl233,zip_derived_cl194,zip_derived_cl190]) ).
thf(zip_derived_cl4581,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( segmentP @ X0 @ ( sk__2 @ sk__51 @ sk__47 ) )
| ( sk__47 != X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4557,zip_derived_cl2067,zip_derived_cl234]) ).
thf(zip_derived_cl4656,plain,
( ( segmentP @ sk__47 @ ( sk__2 @ sk__51 @ sk__47 ) )
| ~ ( ssList @ sk__47 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4581]) ).
thf(zip_derived_cl190_037,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4657,plain,
segmentP @ sk__47 @ ( sk__2 @ sk__51 @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl4656,zip_derived_cl190]) ).
thf(ax53,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( segmentP @ U @ V )
& ( segmentP @ V @ W ) )
=> ( segmentP @ U @ W ) ) ) ) ) ).
thf(zip_derived_cl132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( segmentP @ X1 @ X0 )
| ~ ( segmentP @ X0 @ X2 )
| ( segmentP @ X1 @ X2 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax53]) ).
thf(zip_derived_cl4662,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__2 @ sk__51 @ sk__47 ) )
| ~ ( segmentP @ ( sk__2 @ sk__51 @ sk__47 ) @ X0 )
| ( segmentP @ sk__47 @ X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4657,zip_derived_cl132]) ).
thf(zip_derived_cl234_038,plain,
ssList @ ( sk__2 @ sk__51 @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl233,zip_derived_cl194,zip_derived_cl190]) ).
thf(zip_derived_cl190_039,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4671,plain,
! [X0: $i] :
( ~ ( segmentP @ ( sk__2 @ sk__51 @ sk__47 ) @ X0 )
| ( segmentP @ sk__47 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4662,zip_derived_cl234,zip_derived_cl190]) ).
thf(zip_derived_cl4694,plain,
( ~ ( ssList @ ( sk__2 @ sk__51 @ sk__47 ) )
| ( segmentP @ sk__47 @ nil )
| ~ ( ssList @ nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl4671]) ).
thf(zip_derived_cl234_040,plain,
ssList @ ( sk__2 @ sk__51 @ sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl233,zip_derived_cl194,zip_derived_cl190]) ).
thf(zip_derived_cl83_041,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl4697,plain,
segmentP @ sk__47 @ nil,
inference(demod,[status(thm)],[zip_derived_cl4694,zip_derived_cl234,zip_derived_cl83]) ).
thf(zip_derived_cl27829,plain,
( ( nil = sk__47 )
| ( sk__47 = nil ) ),
inference(demod,[status(thm)],[zip_derived_cl584,zip_derived_cl27821,zip_derived_cl27821,zip_derived_cl4697]) ).
thf(zip_derived_cl27830,plain,
nil = sk__47,
inference(simplify,[status(thm)],[zip_derived_cl27829]) ).
thf(zip_derived_cl192_042,plain,
~ ( memberP @ sk__48 @ sk__51 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27821_043,plain,
nil = sk__48,
inference(clc,[status(thm)],[zip_derived_cl27820,zip_derived_cl465]) ).
thf(zip_derived_cl27822,plain,
~ ( memberP @ nil @ sk__51 ),
inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl27821]) ).
thf(zip_derived_cl28002,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl27830,zip_derived_cl27822]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.23 % Problem : SWC394+1 : TPTP v9.2.0. Released v2.4.0.
% 0.09/0.26 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xmu6den6OB true
% 0.09/0.46 % Computer : n031.cluster.edu
% 0.09/0.46 % Model : x86_64 x86_64
% 0.09/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.46 % Memory : 8042.1875MB
% 0.09/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.46 % CPULimit : 300
% 0.09/0.46 % WCLimit : 300
% 0.09/0.46 % DateTime : Wed Oct 1 17:06:08 EDT 2025
% 0.09/0.47 % CPUTime :
% 0.09/0.47 % Running portfolio for 300 s
% 0.09/0.47 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.47 % Number of cores: 8
% 0.13/0.48 % Python version: Python 3.6.8
% 0.13/0.49 % Running in FO mode
% 0.21/0.79 % Total configuration time : 435
% 0.21/0.79 % Estimated wc time : 1092
% 0.21/0.79 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.90 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.94 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.95 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.99 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/1.05 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/1.06 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.99/1.11 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 35.14/9.79 % Solved by fo/fo13.sh.
% 35.14/9.79 % done 5151 iterations in 8.654s
% 35.14/9.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 35.14/9.79 % SZS output start Refutation
% See solution above
% 35.14/9.79
% 35.14/9.79
% 35.14/9.79 % Terminating...
% 35.65/10.00 % Runner terminated.
% 35.65/10.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------