TSTP Solution File: SWC218+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC218+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.z3N3ZiBryC 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 21:29:57 EDT 2023
% Result : Theorem 0.55s 0.84s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 23
% Syntax : Number of formulae : 126 ( 48 unt; 13 typ; 0 def)
% Number of atoms : 275 ( 124 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 703 ( 136 ~; 127 |; 1 &; 405 @)
% ( 2 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 64 ( 0 ^; 64 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl7,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_cl26,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
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] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( app @ Y @ Z )
!= X )
| ! [X1: $i] :
( ( ssItem @ X1 )
=> ( ( app @ ( app @ Y @ ( cons @ X1 @ nil ) ) @ Z )
!= W ) ) ) ) )
| ( neq @ U @ 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 )
| ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( app @ Y @ Z )
!= X )
| ! [X1: $i] :
( ( ssItem @ X1 )
=> ( ( app @ ( app @ Y @ ( cons @ X1 @ nil ) ) @ Z )
!= W ) ) ) ) )
| ( neq @ U @ nil ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl33,plain,
( ( app @ ( app @ sk__8 @ ( cons @ sk__10 @ nil ) ) @ sk__9 )
= sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30,plain,
sk__4 = 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_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl29,plain,
~ ( neq @ sk__4 @ nil ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl172,plain,
( ~ ( ssList @ sk__4 )
| ( sk__4 = nil )
| ~ ( ssList @ nil ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl29]) ).
thf(zip_derived_cl27,plain,
ssList @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl8,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl175,plain,
sk__4 = nil,
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl27,zip_derived_cl8]) ).
thf(zip_derived_cl177,plain,
nil = sk__6,
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl175]) ).
thf(zip_derived_cl711,plain,
( ( app @ ( app @ sk__8 @ ( cons @ sk__10 @ nil ) ) @ sk__9 )
= nil ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl177]) ).
thf(zip_derived_cl7_001,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(ax26,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ssList @ ( app @ U @ V ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
thf(zip_derived_cl711_002,plain,
( ( app @ ( app @ sk__8 @ ( cons @ sk__10 @ nil ) ) @ sk__9 )
= nil ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl177]) ).
thf(ax83,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( nil
= ( app @ U @ V ) )
<=> ( ( nil = V )
& ( nil = U ) ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil
!= ( app @ X1 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax83]) ).
thf(zip_derived_cl715,plain,
( ( nil != nil )
| ~ ( ssList @ ( app @ sk__8 @ ( cons @ sk__10 @ nil ) ) )
| ( nil = sk__9 )
| ~ ( ssList @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl23]) ).
thf(zip_derived_cl35,plain,
ssList @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl734,plain,
( ( nil != nil )
| ~ ( ssList @ ( app @ sk__8 @ ( cons @ sk__10 @ nil ) ) )
| ( nil = sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl715,zip_derived_cl35]) ).
thf(zip_derived_cl735,plain,
( ( nil = sk__9 )
| ~ ( ssList @ ( app @ sk__8 @ ( cons @ sk__10 @ nil ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl734]) ).
thf(zip_derived_cl746,plain,
( ~ ( ssList @ sk__8 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( nil = sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl735]) ).
thf(zip_derived_cl31,plain,
ssList @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl749,plain,
( ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( nil = sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl746,zip_derived_cl31]) ).
thf(zip_derived_cl754,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__10 )
| ( nil = sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl749]) ).
thf(zip_derived_cl8_003,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl32,plain,
ssItem @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl755,plain,
nil = sk__9,
inference(demod,[status(thm)],[zip_derived_cl754,zip_derived_cl8,zip_derived_cl32]) ).
thf(zip_derived_cl768,plain,
( ( app @ ( app @ sk__8 @ ( cons @ sk__10 @ nil ) ) @ nil )
= nil ),
inference(demod,[status(thm)],[zip_derived_cl711,zip_derived_cl755]) ).
thf(zip_derived_cl34,plain,
( ( app @ sk__8 @ sk__9 )
= sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl178,plain,
( ( app @ sk__8 @ sk__9 )
= sk__5 ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl36]) ).
thf(zip_derived_cl755_004,plain,
nil = sk__9,
inference(demod,[status(thm)],[zip_derived_cl754,zip_derived_cl8,zip_derived_cl32]) ).
thf(zip_derived_cl758,plain,
( ( app @ sk__8 @ nil )
= sk__5 ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl755]) ).
thf(zip_derived_cl26_005,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(zip_derived_cl805,plain,
( ( sk__5 = sk__8 )
| ~ ( ssList @ sk__8 ) ),
inference('sup+',[status(thm)],[zip_derived_cl758,zip_derived_cl26]) ).
thf(zip_derived_cl31_006,plain,
ssList @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl825,plain,
sk__5 = sk__8,
inference(demod,[status(thm)],[zip_derived_cl805,zip_derived_cl31]) ).
thf(zip_derived_cl919,plain,
( ( app @ ( app @ sk__5 @ ( cons @ sk__10 @ nil ) ) @ nil )
= nil ),
inference(demod,[status(thm)],[zip_derived_cl768,zip_derived_cl825]) ).
thf(ax82,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( app @ ( app @ U @ V ) @ W )
= ( app @ U @ ( app @ V @ W ) ) ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ ( app @ X1 @ X0 ) @ X2 )
= ( app @ X1 @ ( app @ X0 @ X2 ) ) )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax82]) ).
thf(zip_derived_cl934,plain,
( ( nil
= ( app @ sk__5 @ ( app @ ( cons @ sk__10 @ nil ) @ nil ) ) )
| ~ ( ssList @ sk__5 )
| ~ ( ssList @ nil )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl919,zip_derived_cl22]) ).
thf(zip_derived_cl37,plain,
ssList @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36_007,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl174,plain,
ssList @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl36]) ).
thf(zip_derived_cl8_008,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl954,plain,
( ( nil
= ( app @ sk__5 @ ( app @ ( cons @ sk__10 @ nil ) @ nil ) ) )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl934,zip_derived_cl174,zip_derived_cl8]) ).
thf(zip_derived_cl1172,plain,
( ( nil
= ( app @ sk__5 @ ( cons @ sk__10 @ nil ) ) )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl954]) ).
thf(zip_derived_cl1178,plain,
( ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( nil
= ( app @ sk__5 @ ( cons @ sk__10 @ nil ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1172]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil
!= ( app @ X1 @ X0 ) )
| ( nil = X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax83]) ).
thf(zip_derived_cl1204,plain,
( ( nil != nil )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ~ ( ssList @ sk__5 )
| ( nil = sk__5 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1178,zip_derived_cl24]) ).
thf(zip_derived_cl174_009,plain,
ssList @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl36]) ).
thf(zip_derived_cl1220,plain,
( ( nil != nil )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( nil = sk__5 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1204,zip_derived_cl174]) ).
thf(zip_derived_cl1221,plain,
( ( nil = sk__5 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1220]) ).
thf(zip_derived_cl7_010,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl16_011,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
thf(zip_derived_cl919_012,plain,
( ( app @ ( app @ sk__5 @ ( cons @ sk__10 @ nil ) ) @ nil )
= nil ),
inference(demod,[status(thm)],[zip_derived_cl768,zip_derived_cl825]) ).
thf(zip_derived_cl178_013,plain,
( ( app @ sk__8 @ sk__9 )
= sk__5 ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl36]) ).
thf(zip_derived_cl23_014,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil
!= ( app @ X1 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax83]) ).
thf(zip_derived_cl181,plain,
( ( nil != sk__5 )
| ~ ( ssList @ sk__8 )
| ( nil = sk__9 )
| ~ ( ssList @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl23]) ).
thf(zip_derived_cl31_015,plain,
ssList @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl35_016,plain,
ssList @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl186,plain,
( ( nil != sk__5 )
| ( nil = sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl31,zip_derived_cl35]) ).
thf(zip_derived_cl178_017,plain,
( ( app @ sk__8 @ sk__9 )
= sk__5 ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl36]) ).
thf(zip_derived_cl188,plain,
( ( ( app @ sk__8 @ nil )
= sk__5 )
| ( nil != sk__5 ) ),
inference('sup+',[status(thm)],[zip_derived_cl186,zip_derived_cl178]) ).
thf(zip_derived_cl189,plain,
( ( ( app @ sk__8 @ nil )
= nil )
| ( nil != sk__5 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl26_018,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(zip_derived_cl192,plain,
( ( nil = sk__8 )
| ( nil != sk__5 )
| ~ ( ssList @ sk__8 ) ),
inference('sup+',[status(thm)],[zip_derived_cl189,zip_derived_cl26]) ).
thf(zip_derived_cl31_019,plain,
ssList @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl195,plain,
( ( nil = sk__8 )
| ( nil != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl31]) ).
thf(zip_derived_cl189_020,plain,
( ( ( app @ sk__8 @ nil )
= nil )
| ( nil != sk__5 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl200,plain,
( ( ( app @ nil @ nil )
= nil )
| ( nil != sk__5 )
| ( nil != sk__5 ) ),
inference('sup+',[status(thm)],[zip_derived_cl195,zip_derived_cl189]) ).
thf(zip_derived_cl202,plain,
( ( nil != sk__5 )
| ( ( app @ nil @ nil )
= nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl200]) ).
thf(ax79,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( app @ W @ V )
= ( app @ U @ V ) )
=> ( W = U ) ) ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X2 @ X0 )
!= ( app @ X1 @ X0 ) )
| ( X2 = X1 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax79]) ).
thf(zip_derived_cl249,plain,
! [X0: $i] :
( ( nil
!= ( app @ X0 @ nil ) )
| ( nil != sk__5 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ nil )
| ( nil = X0 )
| ~ ( ssList @ nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl19]) ).
thf(zip_derived_cl8_021,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl8_022,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl265,plain,
! [X0: $i] :
( ( nil
!= ( app @ X0 @ nil ) )
| ( nil != sk__5 )
| ~ ( ssList @ X0 )
| ( nil = X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl249,zip_derived_cl8,zip_derived_cl8]) ).
thf(zip_derived_cl931,plain,
( ( nil != nil )
| ( nil
= ( app @ sk__5 @ ( cons @ sk__10 @ nil ) ) )
| ~ ( ssList @ ( app @ sk__5 @ ( cons @ sk__10 @ nil ) ) )
| ( nil != sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl919,zip_derived_cl265]) ).
thf(zip_derived_cl951,plain,
( ( nil != sk__5 )
| ~ ( ssList @ ( app @ sk__5 @ ( cons @ sk__10 @ nil ) ) )
| ( nil
= ( app @ sk__5 @ ( cons @ sk__10 @ nil ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl931]) ).
thf(zip_derived_cl952,plain,
( ( nil != sk__5 )
| ~ ( ssList @ ( app @ nil @ ( cons @ sk__10 @ nil ) ) )
| ( nil
= ( app @ nil @ ( cons @ sk__10 @ nil ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl951]) ).
thf(zip_derived_cl971,plain,
( ~ ( ssList @ nil )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( nil
= ( app @ nil @ ( cons @ sk__10 @ nil ) ) )
| ( nil != sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl952]) ).
thf(zip_derived_cl8_023,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl974,plain,
( ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( nil
= ( app @ nil @ ( cons @ sk__10 @ nil ) ) )
| ( nil != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl971,zip_derived_cl8]) ).
thf(zip_derived_cl23_024,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil
!= ( app @ X1 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax83]) ).
thf(zip_derived_cl1001,plain,
( ( nil != nil )
| ( nil != sk__5 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ~ ( ssList @ nil )
| ( nil
= ( cons @ sk__10 @ nil ) )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl974,zip_derived_cl23]) ).
thf(zip_derived_cl8_025,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1017,plain,
( ( nil != nil )
| ( nil != sk__5 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( nil
= ( cons @ sk__10 @ nil ) )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1001,zip_derived_cl8]) ).
thf(zip_derived_cl1018,plain,
( ( nil
= ( cons @ sk__10 @ nil ) )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( nil != sk__5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1017]) ).
thf(zip_derived_cl1036,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__10 )
| ( nil != sk__5 )
| ( nil
= ( cons @ sk__10 @ nil ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl1018]) ).
thf(zip_derived_cl8_026,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl32_027,plain,
ssItem @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1037,plain,
( ( nil != sk__5 )
| ( nil
= ( cons @ sk__10 @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1036,zip_derived_cl8,zip_derived_cl32]) ).
thf(ax18,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
!= U ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl1040,plain,
( ( nil != nil )
| ( nil != sk__5 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1037,zip_derived_cl9]) ).
thf(zip_derived_cl8_028,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl32_029,plain,
ssItem @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1055,plain,
( ( nil != nil )
| ( nil != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl1040,zip_derived_cl8,zip_derived_cl32]) ).
thf(zip_derived_cl1056,plain,
nil != sk__5,
inference(simplify,[status(thm)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1222,plain,
~ ( ssList @ ( cons @ sk__10 @ nil ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1221,zip_derived_cl1056]) ).
thf(zip_derived_cl1237,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl1222]) ).
thf(zip_derived_cl8_030,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl32_031,plain,
ssItem @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1238,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1237,zip_derived_cl8,zip_derived_cl32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC218+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.z3N3ZiBryC 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 18:23:58 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
% 0.53/0.64 % Total configuration time : 435
% 0.53/0.64 % Estimated wc time : 1092
% 0.53/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.84 % Solved by fo/fo3_bce.sh.
% 0.55/0.84 % BCE start: 39
% 0.55/0.84 % BCE eliminated: 2
% 0.55/0.84 % PE start: 37
% 0.55/0.84 logic: eq
% 0.55/0.84 % PE eliminated: 1
% 0.55/0.84 % done 205 iterations in 0.092s
% 0.55/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.84 % SZS output start Refutation
% See solution above
% 0.55/0.84
% 0.55/0.84
% 0.55/0.84 % Terminating...
% 0.58/0.94 % Runner terminated.
% 1.69/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------