TSTP Solution File: SWC061+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC061+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7lS5zdvcn5 true
% Computer : n020.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 21:28:52 EDT 2023
% Result : Theorem 0.53s 0.96s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 25
% Syntax : Number of formulae : 202 ( 64 unt; 13 typ; 0 def)
% Number of atoms : 524 ( 240 equ; 0 cnn)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 1256 ( 286 ~; 292 |; 15 &; 635 @)
% ( 3 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 105 ( 0 ^; 101 !; 4 ?; 105 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ( ? [X1: $i] :
( ( segmentP @ U @ X1 )
& ( segmentP @ V @ X1 )
& ( neq @ X1 @ nil )
& ( ssList @ X1 ) )
| ~ ( neq @ V @ nil ) )
& ( ( nil = U )
| ( nil != V ) ) )
| ( ( neq @ X @ nil )
& ! [Y: $i] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ( app @ Z @ ( cons @ Y @ nil ) )
!= W )
| ( ( app @ ( cons @ Y @ nil ) @ Z )
!= X )
| ~ ( ssList @ Z ) ) ) )
| ( ( nil = X )
& ( nil != W ) )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ( ? [X1: $i] :
( ( segmentP @ U @ X1 )
& ( segmentP @ V @ X1 )
& ( neq @ X1 @ nil )
& ( ssList @ X1 ) )
| ~ ( neq @ V @ nil ) )
& ( ( nil = U )
| ( nil != V ) ) )
| ( ( neq @ X @ nil )
& ! [Y: $i] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ( app @ Z @ ( cons @ Y @ nil ) )
!= W )
| ( ( app @ ( cons @ Y @ nil ) @ Z )
!= X )
| ~ ( ssList @ Z ) ) ) )
| ( ( nil = X )
& ( nil != W ) )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl43,plain,
( ( neq @ sk__7 @ nil )
| ( nil = sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47,plain,
( ~ ( neq @ sk__9 @ nil )
| ( ( app @ sk__11 @ ( cons @ sk__10 @ nil ) )
= sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl365,plain,
( ( sk__7 != sk__9 )
| ( nil != nil )
| ( nil = sk__7 )
| ( ( app @ sk__11 @ ( cons @ sk__10 @ nil ) )
= sk__8 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl47]) ).
thf(zip_derived_cl873,plain,
( ( ( app @ sk__11 @ ( cons @ sk__10 @ nil ) )
= sk__8 )
| ( nil = sk__7 )
| ( sk__7 != sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl365]) ).
thf(zip_derived_cl44,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl874,plain,
( ( ( app @ sk__11 @ ( cons @ sk__10 @ nil ) )
= sk__6 )
| ( nil = sk__7 )
| ( sk__7 != sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl873,zip_derived_cl44,zip_derived_cl50]) ).
thf(zip_derived_cl875,plain,
( ( nil = sk__7 )
| ( ( app @ sk__11 @ ( cons @ sk__10 @ nil ) )
= sk__6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl874]) ).
thf(zip_derived_cl42,plain,
( ( neq @ sk__7 @ nil )
| ( nil != sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl330,plain,
( ( nil != sk__6 )
| ~ ( ssList @ sk__7 )
| ( sk__7 != nil )
| ~ ( ssList @ nil ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl9]) ).
thf(zip_derived_cl375,plain,
( ( nil != sk__6 )
| ( sk__7 != nil )
| ~ ( ssList @ nil ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl330]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl12,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl376,plain,
( ( nil != sk__6 )
| ( sk__7 != nil ) ),
inference(demod,[status(thm)],[zip_derived_cl375,zip_derived_cl12]) ).
thf(zip_derived_cl49,plain,
( ( nil != sk__9 )
| ( nil = sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44_001,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl369,plain,
( ( nil != sk__9 )
| ( nil = sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl44]) ).
thf(zip_derived_cl50_002,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl370,plain,
( ( nil != sk__7 )
| ( nil = sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl369,zip_derived_cl50]) ).
thf(zip_derived_cl377,plain,
sk__7 != nil,
inference(clc,[status(thm)],[zip_derived_cl376,zip_derived_cl370]) ).
thf(zip_derived_cl876,plain,
( ( app @ sk__11 @ ( cons @ sk__10 @ nil ) )
= sk__6 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl875,zip_derived_cl377]) ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(ax84,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ U @ nil )
= U ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(zip_derived_cl43_003,plain,
( ( neq @ sk__7 @ nil )
| ( nil = sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46,plain,
( ~ ( neq @ sk__9 @ nil )
| ( ( app @ ( cons @ sk__10 @ nil ) @ sk__11 )
= sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl362,plain,
( ( sk__7 != sk__9 )
| ( nil != nil )
| ( nil = sk__7 )
| ( ( app @ ( cons @ sk__10 @ nil ) @ sk__11 )
= sk__9 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl46]) ).
thf(zip_derived_cl772,plain,
( ( ( app @ ( cons @ sk__10 @ nil ) @ sk__11 )
= sk__9 )
| ( nil = sk__7 )
| ( sk__7 != sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl362]) ).
thf(zip_derived_cl773,plain,
( ( ( app @ ( cons @ sk__10 @ nil ) @ sk__11 )
= sk__7 )
| ( nil = sk__7 )
| ( sk__7 != sk__9 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl772]) ).
thf(zip_derived_cl50_004,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl774,plain,
( ( ( app @ ( cons @ sk__10 @ nil ) @ sk__11 )
= sk__7 )
| ( nil = sk__7 )
| ( sk__7 != sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl773,zip_derived_cl50]) ).
thf(zip_derived_cl775,plain,
( ( nil = sk__7 )
| ( ( app @ ( cons @ sk__10 @ nil ) @ sk__11 )
= sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl774]) ).
thf(zip_derived_cl377_005,plain,
sk__7 != nil,
inference(clc,[status(thm)],[zip_derived_cl376,zip_derived_cl370]) ).
thf(zip_derived_cl776,plain,
( ( app @ ( cons @ sk__10 @ nil ) @ sk__11 )
= sk__7 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl775,zip_derived_cl377]) ).
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_cl8,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_cl777,plain,
! [X0: $i,X1: $i] :
( ( ( app @ sk__7 @ X1 )
!= X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__11 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ~ ( ssList @ X1 )
| ~ ( ssList @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl776,zip_derived_cl8]) ).
thf(zip_derived_cl43_006,plain,
( ( neq @ sk__7 @ nil )
| ( nil = sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45,plain,
( ~ ( neq @ sk__9 @ nil )
| ( ssList @ sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl359,plain,
( ( sk__7 != sk__9 )
| ( nil != nil )
| ( nil = sk__7 )
| ( ssList @ sk__11 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl45]) ).
thf(zip_derived_cl396,plain,
( ( ssList @ sk__11 )
| ( nil = sk__7 )
| ( sk__7 != sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl359]) ).
thf(zip_derived_cl50_007,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl397,plain,
( ( ssList @ sk__11 )
| ( nil = sk__7 )
| ( sk__7 != sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl396,zip_derived_cl50]) ).
thf(zip_derived_cl398,plain,
( ( nil = sk__7 )
| ( ssList @ sk__11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl397]) ).
thf(zip_derived_cl377_008,plain,
sk__7 != nil,
inference(clc,[status(thm)],[zip_derived_cl376,zip_derived_cl370]) ).
thf(zip_derived_cl399,plain,
ssList @ sk__11,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl398,zip_derived_cl377]) ).
thf(zip_derived_cl789,plain,
! [X0: $i,X1: $i] :
( ( ( app @ sk__7 @ X1 )
!= X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__11 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl777,zip_derived_cl399]) ).
thf(zip_derived_cl1218,plain,
! [X0: $i] :
( ( sk__7 != X0 )
| ~ ( ssList @ sk__7 )
| ~ ( ssList @ nil )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( segmentP @ X0 @ sk__11 )
| ~ ( ssList @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl789]) ).
thf(zip_derived_cl51,plain,
ssList @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50_009,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl372,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl50]) ).
thf(zip_derived_cl12_010,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1222,plain,
! [X0: $i] :
( ( sk__7 != X0 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( segmentP @ X0 @ sk__11 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1218,zip_derived_cl372,zip_derived_cl12]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X0 @ nil )
| ~ ( segmentP @ sk__7 @ X0 )
| ~ ( segmentP @ sk__6 @ X0 )
| ( nil = sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl324,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( X0 = nil )
| ~ ( ssList @ nil )
| ( nil = sk__7 )
| ~ ( segmentP @ sk__6 @ X0 )
| ~ ( segmentP @ sk__7 @ X0 )
| ~ ( ssList @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl41]) ).
thf(zip_derived_cl1253,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__7 @ X0 )
| ~ ( segmentP @ sk__6 @ X0 )
| ( nil = sk__7 )
| ~ ( ssList @ nil )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl324]) ).
thf(zip_derived_cl12_011,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1254,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__7 @ X0 )
| ~ ( segmentP @ sk__6 @ X0 )
| ( nil = sk__7 )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl12]) ).
thf(zip_derived_cl377_012,plain,
sk__7 != nil,
inference(clc,[status(thm)],[zip_derived_cl376,zip_derived_cl370]) ).
thf(zip_derived_cl1255,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__7 @ X0 )
| ~ ( segmentP @ sk__6 @ X0 )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1254,zip_derived_cl377]) ).
thf(zip_derived_cl1261,plain,
( ~ ( ssList @ sk__7 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( sk__7 != sk__7 )
| ~ ( ssList @ sk__11 )
| ( sk__11 = nil )
| ~ ( segmentP @ sk__6 @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1222,zip_derived_cl1255]) ).
thf(zip_derived_cl372_013,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl50]) ).
thf(zip_derived_cl399_014,plain,
ssList @ sk__11,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl398,zip_derived_cl377]) ).
thf(zip_derived_cl1265,plain,
( ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( sk__7 != sk__7 )
| ( sk__11 = nil )
| ~ ( segmentP @ sk__6 @ sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1261,zip_derived_cl372,zip_derived_cl399]) ).
thf(zip_derived_cl1266,plain,
( ~ ( segmentP @ sk__6 @ sk__11 )
| ( sk__11 = nil )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1265]) ).
thf(zip_derived_cl876_015,plain,
( ( app @ sk__11 @ ( cons @ sk__10 @ nil ) )
= sk__6 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl875,zip_derived_cl377]) ).
thf(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(zip_derived_cl8_016,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_cl475,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( app @ X0 @ X2 )
!= X1 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ nil )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl8]) ).
thf(zip_derived_cl12_017,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl481,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( app @ X0 @ X2 )
!= X1 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl475,zip_derived_cl12]) ).
thf(zip_derived_cl482,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X2 )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 )
| ( ( app @ X0 @ X2 )
!= X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl481]) ).
thf(zip_derived_cl2022,plain,
! [X0: $i] :
( ( sk__6 != X0 )
| ~ ( ssList @ sk__11 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__11 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl876,zip_derived_cl482]) ).
thf(zip_derived_cl399_018,plain,
ssList @ sk__11,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl398,zip_derived_cl377]) ).
thf(zip_derived_cl2039,plain,
! [X0: $i] :
( ( sk__6 != X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__11 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2022,zip_derived_cl399]) ).
thf(zip_derived_cl2645,plain,
( ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( sk__11 = nil )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ~ ( ssList @ sk__6 )
| ( sk__6 != sk__6 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1266,zip_derived_cl2039]) ).
thf(zip_derived_cl38,plain,
ssList @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2650,plain,
( ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( sk__11 = nil )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( sk__6 != sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl2645,zip_derived_cl38]) ).
thf(zip_derived_cl2651,plain,
( ( sk__11 = nil )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2650]) ).
thf(zip_derived_cl2665,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__10 )
| ( sk__11 = nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl2651]) ).
thf(zip_derived_cl12_019,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl43_020,plain,
( ( neq @ sk__7 @ nil )
| ( nil = sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl48,plain,
( ~ ( neq @ sk__9 @ nil )
| ( ssItem @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl368,plain,
( ( sk__7 != sk__9 )
| ( nil != nil )
| ( nil = sk__7 )
| ( ssItem @ sk__10 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl48]) ).
thf(zip_derived_cl402,plain,
( ( ssItem @ sk__10 )
| ( nil = sk__7 )
| ( sk__7 != sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl368]) ).
thf(zip_derived_cl50_021,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl403,plain,
( ( ssItem @ sk__10 )
| ( nil = sk__7 )
| ( sk__7 != sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl402,zip_derived_cl50]) ).
thf(zip_derived_cl404,plain,
( ( nil = sk__7 )
| ( ssItem @ sk__10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl403]) ).
thf(zip_derived_cl377_022,plain,
sk__7 != nil,
inference(clc,[status(thm)],[zip_derived_cl376,zip_derived_cl370]) ).
thf(zip_derived_cl405,plain,
ssItem @ sk__10,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl404,zip_derived_cl377]) ).
thf(zip_derived_cl2666,plain,
sk__11 = nil,
inference(demod,[status(thm)],[zip_derived_cl2665,zip_derived_cl12,zip_derived_cl405]) ).
thf(zip_derived_cl2674,plain,
( ( app @ nil @ ( cons @ sk__10 @ nil ) )
= sk__6 ),
inference(demod,[status(thm)],[zip_derived_cl876,zip_derived_cl2666]) ).
thf(zip_derived_cl776_023,plain,
( ( app @ ( cons @ sk__10 @ nil ) @ sk__11 )
= sk__7 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl775,zip_derived_cl377]) ).
thf(zip_derived_cl2666_024,plain,
sk__11 = nil,
inference(demod,[status(thm)],[zip_derived_cl2665,zip_derived_cl12,zip_derived_cl405]) ).
thf(zip_derived_cl2669,plain,
( ( app @ ( cons @ sk__10 @ nil ) @ nil )
= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl776,zip_derived_cl2666]) ).
thf(ax81,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
= ( app @ ( cons @ X0 @ nil ) @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax81]) ).
thf(zip_derived_cl2730,plain,
( ( ( cons @ sk__10 @ nil )
= sk__7 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2669,zip_derived_cl32]) ).
thf(zip_derived_cl12_025,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl405_026,plain,
ssItem @ sk__10,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl404,zip_derived_cl377]) ).
thf(zip_derived_cl2770,plain,
( ( cons @ sk__10 @ nil )
= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl2730,zip_derived_cl12,zip_derived_cl405]) ).
thf(zip_derived_cl2966,plain,
( ( app @ nil @ sk__7 )
= sk__6 ),
inference(demod,[status(thm)],[zip_derived_cl2674,zip_derived_cl2770]) ).
thf(zip_derived_cl22_027,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(zip_derived_cl2990,plain,
( ( sk__6 = sk__7 )
| ~ ( ssList @ sk__7 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2966,zip_derived_cl22]) ).
thf(zip_derived_cl372_028,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl50]) ).
thf(zip_derived_cl3024,plain,
sk__6 = sk__7,
inference(demod,[status(thm)],[zip_derived_cl2990,zip_derived_cl372]) ).
thf(ax55,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ U ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i] :
( ( segmentP @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax55]) ).
thf(zip_derived_cl1255_029,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__7 @ X0 )
| ~ ( segmentP @ sk__6 @ X0 )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1254,zip_derived_cl377]) ).
thf(zip_derived_cl11_030,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl1222_031,plain,
! [X0: $i] :
( ( sk__7 != X0 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( segmentP @ X0 @ sk__11 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1218,zip_derived_cl372,zip_derived_cl12]) ).
thf(zip_derived_cl1266_032,plain,
( ~ ( segmentP @ sk__6 @ sk__11 )
| ( sk__11 = nil )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1265]) ).
thf(zip_derived_cl1274,plain,
( ~ ( ssList @ sk__6 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( sk__7 != sk__6 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( sk__11 = nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl1222,zip_derived_cl1266]) ).
thf(zip_derived_cl38_033,plain,
ssList @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1275,plain,
( ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( sk__7 != sk__6 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( sk__11 = nil ) ),
inference(demod,[status(thm)],[zip_derived_cl1274,zip_derived_cl38]) ).
thf(zip_derived_cl1276,plain,
( ( sk__11 = nil )
| ( sk__7 != sk__6 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1275]) ).
thf(zip_derived_cl1280,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__10 )
| ( sk__7 != sk__6 )
| ( sk__11 = nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl1276]) ).
thf(zip_derived_cl12_034,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl405_035,plain,
ssItem @ sk__10,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl404,zip_derived_cl377]) ).
thf(zip_derived_cl1281,plain,
( ( sk__7 != sk__6 )
| ( sk__11 = nil ) ),
inference(demod,[status(thm)],[zip_derived_cl1280,zip_derived_cl12,zip_derived_cl405]) ).
thf(zip_derived_cl776_036,plain,
( ( app @ ( cons @ sk__10 @ nil ) @ sk__11 )
= sk__7 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl775,zip_derived_cl377]) ).
thf(zip_derived_cl1284,plain,
( ( ( app @ ( cons @ sk__10 @ nil ) @ nil )
= sk__7 )
| ( sk__7 != sk__6 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1281,zip_derived_cl776]) ).
thf(zip_derived_cl1292,plain,
( ( ( app @ ( cons @ sk__10 @ nil ) @ nil )
= sk__6 )
| ( sk__7 != sk__6 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1284]) ).
thf(zip_derived_cl32_037,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
= ( app @ ( cons @ X0 @ nil ) @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax81]) ).
thf(zip_derived_cl1360,plain,
( ( ( cons @ sk__10 @ nil )
= sk__6 )
| ( sk__7 != sk__6 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1292,zip_derived_cl32]) ).
thf(zip_derived_cl12_038,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl405_039,plain,
ssItem @ sk__10,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl404,zip_derived_cl377]) ).
thf(zip_derived_cl1385,plain,
( ( ( cons @ sk__10 @ nil )
= sk__6 )
| ( sk__7 != sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl1360,zip_derived_cl12,zip_derived_cl405]) ).
thf(zip_derived_cl1281_040,plain,
( ( sk__7 != sk__6 )
| ( sk__11 = nil ) ),
inference(demod,[status(thm)],[zip_derived_cl1280,zip_derived_cl12,zip_derived_cl405]) ).
thf(zip_derived_cl876_041,plain,
( ( app @ sk__11 @ ( cons @ sk__10 @ nil ) )
= sk__6 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl875,zip_derived_cl377]) ).
thf(zip_derived_cl1286,plain,
( ( ( app @ nil @ ( cons @ sk__10 @ nil ) )
= sk__6 )
| ( sk__7 != sk__6 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1281,zip_derived_cl876]) ).
thf(zip_derived_cl1416,plain,
( ( ( app @ nil @ sk__6 )
= sk__6 )
| ( sk__7 != sk__6 )
| ( sk__7 != sk__6 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1385,zip_derived_cl1286]) ).
thf(zip_derived_cl1440,plain,
( ( sk__7 != sk__6 )
| ( ( app @ nil @ sk__6 )
= sk__6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1416]) ).
thf(zip_derived_cl37_042,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(zip_derived_cl8_043,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_cl471,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( app @ X1 @ X0 )
!= X2 )
| ~ ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X2 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ nil )
| ~ ( ssList @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl8]) ).
thf(zip_derived_cl12_044,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl477,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( app @ X1 @ X0 )
!= X2 )
| ~ ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X2 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl471,zip_derived_cl12]) ).
thf(ax26,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ssList @ ( app @ U @ V ) ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
thf(zip_derived_cl1906,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 )
| ( ( app @ X1 @ X0 )
!= X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl477,zip_derived_cl20]) ).
thf(zip_derived_cl1916,plain,
! [X0: $i] :
( ( sk__6 != X0 )
| ( sk__7 != sk__6 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__6 )
| ~ ( ssList @ nil )
| ~ ( ssList @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1440,zip_derived_cl1906]) ).
thf(zip_derived_cl12_045,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl38_046,plain,
ssList @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1933,plain,
! [X0: $i] :
( ( sk__6 != X0 )
| ( sk__7 != sk__6 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl1916,zip_derived_cl12,zip_derived_cl38]) ).
thf(zip_derived_cl2116,plain,
( ~ ( ssList @ sk__6 )
| ( sk__6 = nil )
| ~ ( segmentP @ sk__6 @ sk__6 )
| ~ ( ssList @ sk__7 )
| ( sk__7 != sk__6 )
| ( sk__6 != sk__7 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1255,zip_derived_cl1933]) ).
thf(zip_derived_cl38_047,plain,
ssList @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl372_048,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl50]) ).
thf(zip_derived_cl2121,plain,
( ( sk__6 = nil )
| ~ ( segmentP @ sk__6 @ sk__6 )
| ( sk__7 != sk__6 )
| ( sk__6 != sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl2116,zip_derived_cl38,zip_derived_cl372]) ).
thf(zip_derived_cl2122,plain,
( ( sk__7 != sk__6 )
| ~ ( segmentP @ sk__6 @ sk__6 )
| ( sk__6 = nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl2121]) ).
thf(zip_derived_cl11_049,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl42_050,plain,
( ( neq @ sk__7 @ nil )
| ( nil != sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47_051,plain,
( ~ ( neq @ sk__9 @ nil )
| ( ( app @ sk__11 @ ( cons @ sk__10 @ nil ) )
= sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl345,plain,
( ( sk__7 != sk__9 )
| ( nil != nil )
| ( nil != sk__6 )
| ( ( app @ sk__11 @ ( cons @ sk__10 @ nil ) )
= sk__8 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl47]) ).
thf(zip_derived_cl614,plain,
( ( ( app @ sk__11 @ ( cons @ sk__10 @ nil ) )
= sk__8 )
| ( nil != sk__6 )
| ( sk__7 != sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl345]) ).
thf(zip_derived_cl44_052,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50_053,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl615,plain,
( ( ( app @ sk__11 @ ( cons @ sk__10 @ nil ) )
= sk__6 )
| ( nil != sk__6 )
| ( sk__7 != sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl614,zip_derived_cl44,zip_derived_cl50]) ).
thf(zip_derived_cl616,plain,
( ( nil != sk__6 )
| ( ( app @ sk__11 @ ( cons @ sk__10 @ nil ) )
= sk__6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl615]) ).
thf(zip_derived_cl617,plain,
( ( nil != sk__6 )
| ( ( app @ sk__11 @ ( cons @ sk__10 @ nil ) )
= nil ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl616]) ).
thf(ax83,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( nil
= ( app @ U @ V ) )
<=> ( ( nil = V )
& ( nil = U ) ) ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil
!= ( app @ X1 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax83]) ).
thf(zip_derived_cl621,plain,
( ( nil != nil )
| ( nil != sk__6 )
| ~ ( ssList @ sk__11 )
| ( nil
= ( cons @ sk__10 @ nil ) )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl617,zip_derived_cl34]) ).
thf(zip_derived_cl399_054,plain,
ssList @ sk__11,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl398,zip_derived_cl377]) ).
thf(zip_derived_cl629,plain,
( ( nil != nil )
| ( nil != sk__6 )
| ( nil
= ( cons @ sk__10 @ nil ) )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl621,zip_derived_cl399]) ).
thf(zip_derived_cl630,plain,
( ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( nil
= ( cons @ sk__10 @ nil ) )
| ( nil != sk__6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl629]) ).
thf(zip_derived_cl669,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__10 )
| ( nil != sk__6 )
| ( nil
= ( cons @ sk__10 @ nil ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl630]) ).
thf(zip_derived_cl12_055,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl405_056,plain,
ssItem @ sk__10,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl404,zip_derived_cl377]) ).
thf(zip_derived_cl670,plain,
( ( nil != sk__6 )
| ( nil
= ( cons @ sk__10 @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl669,zip_derived_cl12,zip_derived_cl405]) ).
thf(ax18,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
!= U ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl673,plain,
( ( nil != nil )
| ( nil != sk__6 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl670,zip_derived_cl13]) ).
thf(zip_derived_cl12_057,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl405_058,plain,
ssItem @ sk__10,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl404,zip_derived_cl377]) ).
thf(zip_derived_cl684,plain,
( ( nil != nil )
| ( nil != sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl673,zip_derived_cl12,zip_derived_cl405]) ).
thf(zip_derived_cl685,plain,
nil != sk__6,
inference(simplify,[status(thm)],[zip_derived_cl684]) ).
thf(zip_derived_cl2123,plain,
( ( sk__7 != sk__6 )
| ~ ( segmentP @ sk__6 @ sk__6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2122,zip_derived_cl685]) ).
thf(zip_derived_cl2144,plain,
( ~ ( ssList @ sk__6 )
| ( sk__7 != sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl2123]) ).
thf(zip_derived_cl38_059,plain,
ssList @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2146,plain,
sk__7 != sk__6,
inference(demod,[status(thm)],[zip_derived_cl2144,zip_derived_cl38]) ).
thf(zip_derived_cl3025,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3024,zip_derived_cl2146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWC061+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7lS5zdvcn5 true
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 18:06:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.49/0.62 % Total configuration time : 435
% 0.49/0.62 % Estimated wc time : 1092
% 0.49/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.68 % /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
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.96 % Solved by fo/fo3_bce.sh.
% 0.53/0.96 % BCE start: 53
% 0.53/0.96 % BCE eliminated: 0
% 0.53/0.96 % PE start: 53
% 0.53/0.96 logic: eq
% 0.53/0.96 % PE eliminated: -14
% 0.53/0.96 % done 512 iterations in 0.240s
% 0.53/0.96 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.96 % SZS output start Refutation
% See solution above
% 0.53/0.96
% 0.53/0.96
% 0.53/0.96 % Terminating...
% 0.53/1.04 % Runner terminated.
% 1.62/1.05 % Zipperpin 1.5 exiting
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