TSTP Solution File: SWC354+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC354+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.6L9g7DEEtq true
% Computer : n007.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 21:30:58 EDT 2023
% Result : Theorem 0.55s 1.01s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 28
% Syntax : Number of formulae : 148 ( 50 unt; 13 typ; 0 def)
% Number of atoms : 392 ( 138 equ; 0 cnn)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 968 ( 207 ~; 206 |; 15 &; 504 @)
% ( 3 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 111 ( 0 ^; 105 !; 6 ?; 111 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__18_type,type,
sk__18: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__19_type,type,
sk__19: $i ).
thf(hd_type,type,
hd: $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(tl_type,type,
tl: $i > $i ).
thf(sk__21_type,type,
sk__21: $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(ax24,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssList @ ( tl @ U ) ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ? [Z: $i] :
( ( neq @ nil @ X )
& ( ( hd @ X )
= Z )
& ( ( cons @ Z @ nil )
= Y )
& ( ssItem @ Z ) )
& ( W != Y )
& ( ssList @ Y ) )
| ( segmentP @ V @ U ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ) ).
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 )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ? [Z: $i] :
( ( neq @ nil @ X )
& ( ( hd @ X )
= Z )
& ( ( cons @ Z @ nil )
= Y )
& ( ssItem @ Z ) )
& ( W != Y )
& ( ssList @ Y ) )
| ( segmentP @ V @ U ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl100,plain,
( ~ ( segmentP @ sk__19 @ sk__18 )
| ( neq @ sk__19 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101,plain,
( ~ ( segmentP @ sk__19 @ sk__18 )
| ~ ( neq @ sk__21 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl102,plain,
sk__19 = sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl745,plain,
( ~ ( segmentP @ sk__19 @ sk__18 )
| ~ ( neq @ sk__19 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl102]) ).
thf(zip_derived_cl752,plain,
~ ( segmentP @ sk__19 @ sk__18 ),
inference(clc,[status(thm)],[zip_derived_cl100,zip_derived_cl745]) ).
thf(ax22,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssItem @ ( hd @ U ) ) ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__20 = X0 )
| ~ ( neq @ nil @ sk__21 )
| ( ( hd @ sk__21 )
!= X1 )
| ( ( cons @ X1 @ nil )
!= X0 )
| ~ ( ssItem @ X1 )
| ~ ( neq @ sk__21 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl95,plain,
sk__18 = sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl102_001,plain,
sk__19 = sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl102_002,plain,
sk__19 = sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl102_003,plain,
sk__19 = sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl96,plain,
( ( neq @ sk__19 @ nil )
| ( neq @ sk__19 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl759,plain,
neq @ sk__19 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl96]) ).
thf(zip_derived_cl1442,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__18 = X0 )
| ~ ( neq @ nil @ sk__19 )
| ( ( hd @ sk__19 )
!= X1 )
| ( ( cons @ X1 @ nil )
!= X0 )
| ~ ( ssItem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl95,zip_derived_cl102,zip_derived_cl102,zip_derived_cl102,zip_derived_cl759]) ).
thf(zip_derived_cl1443,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( ( hd @ sk__19 )
!= X0 )
| ~ ( neq @ nil @ sk__19 )
| ( sk__18
= ( cons @ X0 @ nil ) )
| ~ ( ssList @ ( cons @ X0 @ nil ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1442]) ).
thf(zip_derived_cl1445,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ( sk__18
= ( cons @ X0 @ nil ) )
| ~ ( neq @ nil @ sk__19 )
| ( ( hd @ sk__19 )
!= X0 )
| ~ ( ssItem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl1443]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl28,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1446,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( sk__18
= ( cons @ X0 @ nil ) )
| ~ ( neq @ nil @ sk__19 )
| ( ( hd @ sk__19 )
!= X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1445,zip_derived_cl28]) ).
thf(zip_derived_cl1447,plain,
! [X0: $i] :
( ( ( hd @ sk__19 )
!= X0 )
| ~ ( neq @ nil @ sk__19 )
| ( sk__18
= ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1446]) ).
thf(ax23,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( hd @ ( cons @ V @ U ) )
= V ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( hd @ ( cons @ X0 @ X1 ) )
= X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl1458,plain,
! [X0: $i] :
( ( ( hd @ sk__18 )
= X0 )
| ~ ( ssItem @ X0 )
| ~ ( neq @ nil @ sk__19 )
| ( ( hd @ sk__19 )
!= X0 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1447,zip_derived_cl37]) ).
thf(zip_derived_cl28_004,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1492,plain,
! [X0: $i] :
( ( ( hd @ sk__18 )
= X0 )
| ~ ( ssItem @ X0 )
| ~ ( neq @ nil @ sk__19 )
| ( ( hd @ sk__19 )
!= X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1458,zip_derived_cl28]) ).
thf(zip_derived_cl1493,plain,
! [X0: $i] :
( ( ( hd @ sk__19 )
!= X0 )
| ~ ( neq @ nil @ sk__19 )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__18 )
= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1492]) ).
thf(zip_derived_cl1527,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ( nil = sk__19 )
| ~ ( ssList @ sk__19 )
| ( ( hd @ sk__18 )
= X0 )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__19 )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl1493]) ).
thf(zip_derived_cl28_005,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl103,plain,
ssList @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl102_006,plain,
sk__19 = sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl735,plain,
ssList @ sk__19,
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).
thf(zip_derived_cl1529,plain,
! [X0: $i] :
( ( nil = sk__19 )
| ( ( hd @ sk__18 )
= X0 )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__19 )
!= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1527,zip_derived_cl28,zip_derived_cl735]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl759_007,plain,
neq @ sk__19 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl96]) ).
thf(zip_derived_cl763,plain,
( ~ ( ssList @ sk__19 )
| ( sk__19 != nil )
| ~ ( ssList @ nil ) ),
inference('sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl759]) ).
thf(zip_derived_cl735_008,plain,
ssList @ sk__19,
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).
thf(zip_derived_cl28_009,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl765,plain,
sk__19 != nil,
inference(demod,[status(thm)],[zip_derived_cl763,zip_derived_cl735,zip_derived_cl28]) ).
thf(zip_derived_cl1530,plain,
! [X0: $i] :
( ( ( hd @ sk__18 )
= X0 )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__19 )
!= X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1529,zip_derived_cl765]) ).
thf(zip_derived_cl1531,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( ( hd @ sk__19 )
!= ( hd @ X0 ) )
| ( ( hd @ sk__18 )
= ( hd @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl1530]) ).
thf(zip_derived_cl1628,plain,
( ( ( hd @ sk__18 )
= ( hd @ sk__19 ) )
| ( nil = sk__19 )
| ~ ( ssList @ sk__19 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1531]) ).
thf(zip_derived_cl735_010,plain,
ssList @ sk__19,
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).
thf(zip_derived_cl1629,plain,
( ( ( hd @ sk__18 )
= ( hd @ sk__19 ) )
| ( nil = sk__19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1628,zip_derived_cl735]) ).
thf(zip_derived_cl765_011,plain,
sk__19 != nil,
inference(demod,[status(thm)],[zip_derived_cl763,zip_derived_cl735,zip_derived_cl28]) ).
thf(zip_derived_cl1630,plain,
( ( hd @ sk__18 )
= ( hd @ sk__19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1629,zip_derived_cl765]) ).
thf(zip_derived_cl36_012,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl1642,plain,
( ( ssItem @ ( hd @ sk__18 ) )
| ~ ( ssList @ sk__19 )
| ( nil = sk__19 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1630,zip_derived_cl36]) ).
thf(zip_derived_cl735_013,plain,
ssList @ sk__19,
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).
thf(zip_derived_cl1648,plain,
( ( ssItem @ ( hd @ sk__18 ) )
| ( nil = sk__19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1642,zip_derived_cl735]) ).
thf(zip_derived_cl765_014,plain,
sk__19 != nil,
inference(demod,[status(thm)],[zip_derived_cl763,zip_derived_cl735,zip_derived_cl28]) ).
thf(zip_derived_cl1649,plain,
ssItem @ ( hd @ sk__18 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1648,zip_derived_cl765]) ).
thf(zip_derived_cl26_015,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1447_016,plain,
! [X0: $i] :
( ( ( hd @ sk__19 )
!= X0 )
| ~ ( neq @ nil @ sk__19 )
| ( sk__18
= ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1446]) ).
thf(ax25,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( tl @ ( cons @ V @ U ) )
= U ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( tl @ ( cons @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl1459,plain,
! [X0: $i] :
( ( ( tl @ sk__18 )
= nil )
| ~ ( ssItem @ X0 )
| ~ ( neq @ nil @ sk__19 )
| ( ( hd @ sk__19 )
!= X0 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1447,zip_derived_cl39]) ).
thf(zip_derived_cl28_017,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1494,plain,
! [X0: $i] :
( ( ( tl @ sk__18 )
= nil )
| ~ ( ssItem @ X0 )
| ~ ( neq @ nil @ sk__19 )
| ( ( hd @ sk__19 )
!= X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1459,zip_derived_cl28]) ).
thf(zip_derived_cl1495,plain,
! [X0: $i] :
( ( ( hd @ sk__19 )
!= X0 )
| ~ ( neq @ nil @ sk__19 )
| ~ ( ssItem @ X0 )
| ( ( tl @ sk__18 )
= nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl1494]) ).
thf(zip_derived_cl1630_018,plain,
( ( hd @ sk__18 )
= ( hd @ sk__19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1629,zip_derived_cl765]) ).
thf(zip_derived_cl1769,plain,
! [X0: $i] :
( ( ( hd @ sk__18 )
!= X0 )
| ~ ( neq @ nil @ sk__19 )
| ~ ( ssItem @ X0 )
| ( ( tl @ sk__18 )
= nil ) ),
inference(demod,[status(thm)],[zip_derived_cl1495,zip_derived_cl1630]) ).
thf(zip_derived_cl1771,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ( nil = sk__19 )
| ~ ( ssList @ sk__19 )
| ( ( tl @ sk__18 )
= nil )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__18 )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl1769]) ).
thf(zip_derived_cl28_019,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl735_020,plain,
ssList @ sk__19,
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).
thf(zip_derived_cl1773,plain,
! [X0: $i] :
( ( nil = sk__19 )
| ( ( tl @ sk__18 )
= nil )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__18 )
!= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1771,zip_derived_cl28,zip_derived_cl735]) ).
thf(zip_derived_cl765_021,plain,
sk__19 != nil,
inference(demod,[status(thm)],[zip_derived_cl763,zip_derived_cl735,zip_derived_cl28]) ).
thf(zip_derived_cl1774,plain,
! [X0: $i] :
( ( ( tl @ sk__18 )
= nil )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__18 )
!= X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1773,zip_derived_cl765]) ).
thf(zip_derived_cl1776,plain,
( ( ( hd @ sk__18 )
!= ( hd @ sk__18 ) )
| ( ( tl @ sk__18 )
= nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl1649,zip_derived_cl1774]) ).
thf(zip_derived_cl1785,plain,
( ( tl @ sk__18 )
= nil ),
inference(simplify,[status(thm)],[zip_derived_cl1776]) ).
thf(ax78,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ( cons @ ( hd @ U ) @ ( tl @ U ) )
= U ) ) ) ).
thf(zip_derived_cl76,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax78]) ).
thf(zip_derived_cl1788,plain,
( ( ( cons @ ( hd @ sk__18 ) @ nil )
= sk__18 )
| ~ ( ssList @ sk__18 )
| ( nil = sk__18 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1785,zip_derived_cl76]) ).
thf(zip_derived_cl93,plain,
ssList @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1796,plain,
( ( ( cons @ ( hd @ sk__18 ) @ nil )
= sk__18 )
| ( nil = sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1788,zip_derived_cl93]) ).
thf(zip_derived_cl752_022,plain,
~ ( segmentP @ sk__19 @ sk__18 ),
inference(clc,[status(thm)],[zip_derived_cl100,zip_derived_cl745]) ).
thf(ax58,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( segmentP @ nil @ U )
<=> ( nil = U ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ( nil != X0 )
| ( segmentP @ nil @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax58]) ).
thf(ax57,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ nil ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i] :
( ( segmentP @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax57]) ).
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_cl50,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_cl988,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ X0 @ X1 )
| ~ ( segmentP @ nil @ X1 )
| ~ ( ssList @ nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl50]) ).
thf(zip_derived_cl28_023,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl995,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ X0 @ X1 )
| ~ ( segmentP @ nil @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl988,zip_derived_cl28]) ).
thf(zip_derived_cl996,plain,
! [X0: $i,X1: $i] :
( ~ ( segmentP @ nil @ X1 )
| ( segmentP @ X0 @ X1 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl995]) ).
thf(zip_derived_cl1024,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil != X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 )
| ( segmentP @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl996]) ).
thf(zip_derived_cl1028,plain,
! [X0: $i,X1: $i] :
( ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 )
| ( nil != X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1024]) ).
thf(zip_derived_cl1172,plain,
( ~ ( ssList @ sk__18 )
| ( nil != sk__18 )
| ~ ( ssList @ sk__19 ) ),
inference('sup+',[status(thm)],[zip_derived_cl752,zip_derived_cl1028]) ).
thf(zip_derived_cl93_024,plain,
ssList @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl735_025,plain,
ssList @ sk__19,
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).
thf(zip_derived_cl1175,plain,
nil != sk__18,
inference(demod,[status(thm)],[zip_derived_cl1172,zip_derived_cl93,zip_derived_cl735]) ).
thf(zip_derived_cl1797,plain,
( ( cons @ ( hd @ sk__18 ) @ nil )
= sk__18 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1796,zip_derived_cl1175]) ).
thf(ax81,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).
thf(zip_derived_cl79,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_cl1824,plain,
! [X0: $i] :
( ( ( cons @ ( hd @ sk__18 ) @ X0 )
= ( app @ sk__18 @ X0 ) )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ ( hd @ sk__18 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1797,zip_derived_cl79]) ).
thf(zip_derived_cl1649_026,plain,
ssItem @ ( hd @ sk__18 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1648,zip_derived_cl765]) ).
thf(zip_derived_cl1852,plain,
! [X0: $i] :
( ( ( cons @ ( hd @ sk__18 ) @ X0 )
= ( app @ sk__18 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl1649]) ).
thf(zip_derived_cl1630_027,plain,
( ( hd @ sk__18 )
= ( hd @ sk__19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1629,zip_derived_cl765]) ).
thf(zip_derived_cl76_028,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax78]) ).
thf(zip_derived_cl1645,plain,
( ( ( cons @ ( hd @ sk__18 ) @ ( tl @ sk__19 ) )
= sk__19 )
| ~ ( ssList @ sk__19 )
| ( nil = sk__19 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1630,zip_derived_cl76]) ).
thf(zip_derived_cl735_029,plain,
ssList @ sk__19,
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).
thf(zip_derived_cl1654,plain,
( ( ( cons @ ( hd @ sk__18 ) @ ( tl @ sk__19 ) )
= sk__19 )
| ( nil = sk__19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1645,zip_derived_cl735]) ).
thf(zip_derived_cl765_030,plain,
sk__19 != nil,
inference(demod,[status(thm)],[zip_derived_cl763,zip_derived_cl735,zip_derived_cl28]) ).
thf(zip_derived_cl1655,plain,
( ( cons @ ( hd @ sk__18 ) @ ( tl @ sk__19 ) )
= sk__19 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1654,zip_derived_cl765]) ).
thf(zip_derived_cl1956,plain,
( ( ( app @ sk__18 @ ( tl @ sk__19 ) )
= sk__19 )
| ~ ( ssList @ ( tl @ sk__19 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1852,zip_derived_cl1655]) ).
thf(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
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_cl812,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_cl42,zip_derived_cl8]) ).
thf(zip_derived_cl28_031,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl819,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_cl812,zip_derived_cl28]) ).
thf(zip_derived_cl820,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_cl819]) ).
thf(zip_derived_cl2621,plain,
! [X0: $i] :
( ( sk__19 != X0 )
| ~ ( ssList @ ( tl @ sk__19 ) )
| ~ ( ssList @ sk__18 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__18 )
| ~ ( ssList @ ( tl @ sk__19 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1956,zip_derived_cl820]) ).
thf(zip_derived_cl93_032,plain,
ssList @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2671,plain,
! [X0: $i] :
( ( sk__19 != X0 )
| ~ ( ssList @ ( tl @ sk__19 ) )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__18 )
| ~ ( ssList @ ( tl @ sk__19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2621,zip_derived_cl93]) ).
thf(zip_derived_cl2672,plain,
! [X0: $i] :
( ( segmentP @ X0 @ sk__18 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ ( tl @ sk__19 ) )
| ( sk__19 != X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2671]) ).
thf(zip_derived_cl2784,plain,
( ( sk__19 != sk__19 )
| ~ ( ssList @ ( tl @ sk__19 ) )
| ~ ( ssList @ sk__19 ) ),
inference('sup+',[status(thm)],[zip_derived_cl752,zip_derived_cl2672]) ).
thf(zip_derived_cl735_033,plain,
ssList @ sk__19,
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).
thf(zip_derived_cl2790,plain,
( ( sk__19 != sk__19 )
| ~ ( ssList @ ( tl @ sk__19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2784,zip_derived_cl735]) ).
thf(zip_derived_cl2791,plain,
~ ( ssList @ ( tl @ sk__19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2790]) ).
thf(zip_derived_cl2806,plain,
( ~ ( ssList @ sk__19 )
| ( nil = sk__19 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl2791]) ).
thf(zip_derived_cl735_034,plain,
ssList @ sk__19,
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).
thf(zip_derived_cl2807,plain,
nil = sk__19,
inference(demod,[status(thm)],[zip_derived_cl2806,zip_derived_cl735]) ).
thf(zip_derived_cl765_035,plain,
sk__19 != nil,
inference(demod,[status(thm)],[zip_derived_cl763,zip_derived_cl735,zip_derived_cl28]) ).
thf(zip_derived_cl2808,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2807,zip_derived_cl765]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC354+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6L9g7DEEtq true
% 0.13/0.34 % Computer : n007.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 : Mon Aug 28 18:51:28 EDT 2023
% 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
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.45/0.61 % Total configuration time : 435
% 0.45/0.61 % Estimated wc time : 1092
% 0.45/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /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
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/1.01 % Solved by fo/fo3_bce.sh.
% 0.55/1.01 % BCE start: 105
% 0.55/1.01 % BCE eliminated: 2
% 0.55/1.01 % PE start: 103
% 0.55/1.01 logic: eq
% 0.55/1.01 % PE eliminated: 2
% 0.55/1.01 % done 330 iterations in 0.275s
% 0.55/1.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/1.01 % SZS output start Refutation
% See solution above
% 0.55/1.01
% 0.55/1.01
% 0.55/1.01 % Terminating...
% 0.55/1.05 % Runner terminated.
% 1.73/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------