TSTP Solution File: SWC120+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC120+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.aWwqlMjCcv true
% Computer : n028.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 21:29:17 EDT 2023
% Result : Theorem 1.37s 1.34s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 26
% Syntax : Number of formulae : 134 ( 36 unt; 13 typ; 0 def)
% Number of atoms : 378 ( 145 equ; 0 cnn)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 855 ( 179 ~; 208 |; 17 &; 419 @)
% ( 3 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 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 : 100 ( 0 ^; 94 !; 6 ?; 100 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(hd_type,type,
hd: $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(tl_type,type,
tl: $i > $i ).
thf(sk__50_type,type,
sk__50: $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(sk__48_type,type,
sk__48: $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(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 )
& ( ( app @ W @ Z )
= Y )
& ( ( tl @ X )
= Z )
& ( ssList @ Z ) )
& ( X != Y )
& ( ssList @ Y ) )
| ( ( neq @ U @ nil )
& ( 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 )
& ( ( app @ W @ Z )
= Y )
& ( ( tl @ X )
= Z )
& ( ssList @ Z ) )
& ( X != Y )
& ( ssList @ Y ) )
| ( ( neq @ U @ nil )
& ( segmentP @ V @ U ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl193,plain,
( ( neq @ sk__48 @ nil )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1567,plain,
neq @ sk__48 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(ax24,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssList @ ( tl @ U ) ) ) ) ).
thf(zip_derived_cl93,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl93_001,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
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_cl93_002,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl196,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__50 = X0 )
| ~ ( neq @ nil @ sk__50 )
| ( ( app @ sk__49 @ X1 )
!= X0 )
| ( ( tl @ sk__50 )
!= X1 )
| ~ ( ssList @ X1 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_003,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_004,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_005,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1567_006,plain,
neq @ sk__48 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl2389,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__48 = X0 )
| ~ ( neq @ nil @ sk__48 )
| ( ( app @ sk__47 @ X1 )
!= X0 )
| ( ( tl @ sk__48 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl199,zip_derived_cl199,zip_derived_cl192,zip_derived_cl199,zip_derived_cl199,zip_derived_cl1567]) ).
thf(zip_derived_cl2391,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ nil )
| ( nil = sk__48 )
| ~ ( ssList @ sk__48 )
| ~ ( ssList @ X0 )
| ( sk__48 = X0 )
| ( ( app @ sk__47 @ X1 )
!= X0 )
| ( ( tl @ sk__48 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl2389]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl200,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_007,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1563,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl2392,plain,
! [X0: $i,X1: $i] :
( ( nil = sk__48 )
| ~ ( ssList @ X0 )
| ( sk__48 = X0 )
| ( ( app @ sk__47 @ X1 )
!= X0 )
| ( ( tl @ sk__48 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2391,zip_derived_cl83,zip_derived_cl1563]) ).
thf(zip_derived_cl2398,plain,
! [X0: $i] :
( ~ ( ssList @ ( tl @ sk__48 ) )
| ( ( app @ sk__47 @ ( tl @ sk__48 ) )
!= X0 )
| ( sk__48 = X0 )
| ~ ( ssList @ X0 )
| ( nil = sk__48 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2392]) ).
thf(zip_derived_cl2399,plain,
! [X0: $i] :
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( ( app @ sk__47 @ ( tl @ sk__48 ) )
!= X0 )
| ( sk__48 = X0 )
| ~ ( ssList @ X0 )
| ( nil = sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl2398]) ).
thf(zip_derived_cl1563_008,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl2400,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ( ( app @ sk__47 @ ( tl @ sk__48 ) )
!= X0 )
| ( sk__48 = X0 )
| ~ ( ssList @ X0 )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl2399,zip_derived_cl1563]) ).
thf(zip_derived_cl2401,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( sk__48 = X0 )
| ( ( app @ sk__47 @ ( tl @ sk__48 ) )
!= X0 )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2400]) ).
thf(zip_derived_cl2403,plain,
( ( nil = sk__48 )
| ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) )
| ~ ( ssList @ ( app @ sk__47 @ ( tl @ sk__48 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2401]) ).
thf(zip_derived_cl2405,plain,
( ~ ( ssList @ sk__47 )
| ~ ( ssList @ ( tl @ sk__48 ) )
| ( nil = sk__48 )
| ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl2403]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2407,plain,
( ~ ( ssList @ ( tl @ sk__48 ) )
| ( nil = sk__48 )
| ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2405,zip_derived_cl190]) ).
thf(zip_derived_cl2463,plain,
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( nil = sk__48 )
| ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl2407]) ).
thf(zip_derived_cl1563_009,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl2464,plain,
( ( nil = sk__48 )
| ( nil = sk__48 )
| ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2463,zip_derived_cl1563]) ).
thf(zip_derived_cl2465,plain,
( ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2464]) ).
thf(zip_derived_cl81_010,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl93_011,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl2465_012,plain,
( ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2464]) ).
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(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_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_cl1693,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(zip_derived_cl83_013,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1703,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_cl1693,zip_derived_cl83]) ).
thf(zip_derived_cl1704,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_cl1703]) ).
thf(zip_derived_cl2470,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__47 )
| ( sk__48 != X0 )
| ~ ( ssList @ ( tl @ sk__48 ) )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2465,zip_derived_cl1704]) ).
thf(zip_derived_cl190_014,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__47 )
| ( sk__48 != X0 )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2470,zip_derived_cl190]) ).
thf(zip_derived_cl3828,plain,
! [X0: $i] :
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( nil = sk__48 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__47 )
| ( sk__48 != X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl2491]) ).
thf(zip_derived_cl1563_015,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl3829,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ( nil = sk__48 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__47 )
| ( sk__48 != X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3828,zip_derived_cl1563]) ).
thf(zip_derived_cl3830,plain,
! [X0: $i] :
( ( sk__48 != X0 )
| ( segmentP @ X0 @ sk__47 )
| ~ ( ssList @ X0 )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3829]) ).
thf(zip_derived_cl198,plain,
( ~ ( segmentP @ sk__48 @ sk__47 )
| ~ ( neq @ sk__47 @ nil )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_016,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1567_017,plain,
neq @ sk__48 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl1645,plain,
( ~ ( segmentP @ sk__48 @ sk__47 )
| ~ ( neq @ sk__47 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl199,zip_derived_cl1567]) ).
thf(zip_derived_cl3835,plain,
( ( nil = sk__48 )
| ~ ( ssList @ sk__48 )
| ( sk__48 != sk__48 )
| ~ ( neq @ sk__47 @ nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3830,zip_derived_cl1645]) ).
thf(zip_derived_cl1563_018,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl3842,plain,
( ( nil = sk__48 )
| ( sk__48 != sk__48 )
| ~ ( neq @ sk__47 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl3835,zip_derived_cl1563]) ).
thf(zip_derived_cl3843,plain,
( ~ ( neq @ sk__47 @ nil )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3842]) ).
thf(zip_derived_cl3845,plain,
( ~ ( ssList @ sk__47 )
| ( sk__47 = nil )
| ~ ( ssList @ nil )
| ( nil = sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl3843]) ).
thf(zip_derived_cl190_019,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_020,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3846,plain,
( ( sk__47 = nil )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl3845,zip_derived_cl190,zip_derived_cl83]) ).
thf(zip_derived_cl1567_021,plain,
neq @ sk__48 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl3848,plain,
( ( sk__47 = nil )
| ( neq @ nil @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3846,zip_derived_cl1567]) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1666,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl1667,plain,
! [X0: $i] :
( ~ ( neq @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1666]) ).
thf(zip_derived_cl3869,plain,
( ( sk__47 = nil )
| ~ ( ssList @ nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3848,zip_derived_cl1667]) ).
thf(zip_derived_cl83_022,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3870,plain,
sk__47 = nil,
inference(demod,[status(thm)],[zip_derived_cl3869,zip_derived_cl83]) ).
thf(zip_derived_cl3879,plain,
( ( sk__48
= ( app @ nil @ ( tl @ sk__48 ) ) )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl2465,zip_derived_cl3870]) ).
thf(zip_derived_cl97_023,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(zip_derived_cl4010,plain,
( ( nil = sk__48 )
| ( sk__48
= ( tl @ sk__48 ) )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3879,zip_derived_cl97]) ).
thf(zip_derived_cl4070,plain,
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( nil = sk__48 )
| ( sk__48
= ( tl @ sk__48 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl4010]) ).
thf(zip_derived_cl1563_024,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl4071,plain,
( ( nil = sk__48 )
| ( nil = sk__48 )
| ( sk__48
= ( tl @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4070,zip_derived_cl1563]) ).
thf(zip_derived_cl4072,plain,
( ( sk__48
= ( tl @ sk__48 ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4071]) ).
thf(ax78,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ( cons @ ( hd @ U ) @ ( tl @ U ) )
= U ) ) ) ).
thf(zip_derived_cl168,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax78]) ).
thf(ax18,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
!= U ) ) ) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl2876,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ~ ( ssItem @ ( hd @ X0 ) )
| ( X0
!= ( tl @ X0 ) )
| ~ ( ssList @ ( tl @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl84]) ).
thf(ax22,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssItem @ ( hd @ U ) ) ) ) ).
thf(zip_derived_cl91,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl3304,plain,
! [X0: $i] :
( ~ ( ssList @ ( tl @ X0 ) )
| ( X0
!= ( tl @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2876,zip_derived_cl91]) ).
thf(zip_derived_cl93_025,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3305,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( X0
!= ( tl @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3304,zip_derived_cl93]) ).
thf(zip_derived_cl4077,plain,
( ( nil = sk__48 )
| ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( sk__48 != sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4072,zip_derived_cl3305]) ).
thf(zip_derived_cl1563_026,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl4090,plain,
( ( nil = sk__48 )
| ( nil = sk__48 )
| ( sk__48 != sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl4077,zip_derived_cl1563]) ).
thf(zip_derived_cl4091,plain,
nil = sk__48,
inference(simplify,[status(thm)],[zip_derived_cl4090]) ).
thf(ax58,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( segmentP @ nil @ U )
<=> ( nil = U ) ) ) ).
thf(zip_derived_cl137,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_cl136,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_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_cl2710,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ nil )
| ~ ( segmentP @ nil @ X1 )
| ( segmentP @ X0 @ X1 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl132]) ).
thf(zip_derived_cl83_027,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2717,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( segmentP @ nil @ X1 )
| ( segmentP @ X0 @ X1 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2710,zip_derived_cl83]) ).
thf(zip_derived_cl2718,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( segmentP @ X0 @ X1 )
| ~ ( segmentP @ nil @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2717]) ).
thf(zip_derived_cl2769,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil != X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl2718]) ).
thf(zip_derived_cl2773,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X0 )
| ( nil != X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2769]) ).
thf(zip_derived_cl1645_028,plain,
( ~ ( segmentP @ sk__48 @ sk__47 )
| ~ ( neq @ sk__47 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl199,zip_derived_cl1567]) ).
thf(zip_derived_cl2778,plain,
( ~ ( ssList @ sk__47 )
| ( nil != sk__47 )
| ~ ( ssList @ sk__48 )
| ~ ( neq @ sk__47 @ nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2773,zip_derived_cl1645]) ).
thf(zip_derived_cl190_029,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1563_030,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl2785,plain,
( ( nil != sk__47 )
| ~ ( neq @ sk__47 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl2778,zip_derived_cl190,zip_derived_cl1563]) ).
thf(zip_derived_cl3870_031,plain,
sk__47 = nil,
inference(demod,[status(thm)],[zip_derived_cl3869,zip_derived_cl83]) ).
thf(zip_derived_cl3870_032,plain,
sk__47 = nil,
inference(demod,[status(thm)],[zip_derived_cl3869,zip_derived_cl83]) ).
thf(zip_derived_cl3880,plain,
( ( nil != nil )
| ~ ( neq @ nil @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl2785,zip_derived_cl3870,zip_derived_cl3870]) ).
thf(zip_derived_cl3881,plain,
~ ( neq @ nil @ nil ),
inference(simplify,[status(thm)],[zip_derived_cl3880]) ).
thf(zip_derived_cl4127,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1567,zip_derived_cl4091,zip_derived_cl3881]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC120+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aWwqlMjCcv true
% 0.14/0.34 % Computer : n028.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 18:57:25 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.37/1.34 % Solved by fo/fo6_bce.sh.
% 1.37/1.34 % BCE start: 202
% 1.37/1.34 % BCE eliminated: 2
% 1.37/1.34 % PE start: 200
% 1.37/1.34 logic: eq
% 1.37/1.34 % PE eliminated: 6
% 1.37/1.34 % done 414 iterations in 0.599s
% 1.37/1.34 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.37/1.34 % SZS output start Refutation
% See solution above
% 1.37/1.34
% 1.37/1.34
% 1.37/1.35 % Terminating...
% 5.81/1.47 % Runner terminated.
% 5.81/1.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------