TSTP Solution File: SWC284+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC284+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.sWEQfRYVU2 true
% Computer : n009.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 21:30:27 EDT 2023
% Result : Theorem 11.12s 2.16s
% Output : Refutation 11.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 32
% Syntax : Number of formulae : 157 ( 50 unt; 19 typ; 0 def)
% Number of atoms : 412 ( 102 equ; 0 cnn)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 1050 ( 204 ~; 225 |; 9 &; 572 @)
% ( 5 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 11 con; 0-2 aty)
% Number of variables : 119 ( 0 ^; 116 !; 3 ?; 119 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__55_type,type,
sk__55: $i ).
thf(sk__50_type,type,
sk__50: $i ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(rearsegP_type,type,
rearsegP: $i > $i > $o ).
thf(sk__51_type,type,
sk__51: $i ).
thf(sk__53_type,type,
sk__53: $i ).
thf(sk__52_type,type,
sk__52: $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
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(sk__54_type,type,
sk__54: $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ( neq @ X @ nil )
& ! [X3: $i] :
( ~ ( memberP @ X @ X3 )
| ( ( cons @ X3 @ nil )
!= W )
| ~ ( ssItem @ X3 ) ) )
| ( ( nil = X )
& ( nil != W ) )
| ! [Y: $i] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ! [X1: $i] :
( ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ( ~ ( memberP @ Z @ X2 )
| ( leq @ X2 @ Y ) )
& ( ~ ( memberP @ X1 @ X2 )
| ( leq @ Y @ X2 ) ) ) )
| ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
!= U )
| ~ ( ssList @ X1 ) ) ) )
| ( 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] :
( ( ( neq @ X @ nil )
& ! [X3: $i] :
( ~ ( memberP @ X @ X3 )
| ( ( cons @ X3 @ nil )
!= W )
| ~ ( ssItem @ X3 ) ) )
| ( ( nil = X )
& ( nil != W ) )
| ! [Y: $i] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ! [X1: $i] :
( ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ( ~ ( memberP @ Z @ X2 )
| ( leq @ X2 @ Y ) )
& ( ~ ( memberP @ X1 @ X2 )
| ( leq @ Y @ X2 ) ) ) )
| ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
!= U )
| ~ ( ssList @ X1 ) ) ) )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl205,plain,
( ( nil != sk__50 )
| ( nil = sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1549,plain,
( ( nil != sk__50 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl201]) ).
thf(zip_derived_cl206,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1550,plain,
( ( nil != sk__48 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl1549,zip_derived_cl206]) ).
thf(ax31,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ( leq @ U @ U ) ) ).
thf(zip_derived_cl100,plain,
! [X0: $i] :
( ( leq @ X0 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax31]) ).
thf(zip_derived_cl194,plain,
( ( memberP @ sk__53 @ sk__55 )
| ( memberP @ sk__54 @ sk__55 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(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_cl198,plain,
( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax6,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( rearsegP @ U @ V )
<=> ? [W: $i] :
( ( ( app @ W @ V )
= U )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X2 @ X0 )
!= X1 )
| ~ ( ssList @ X2 )
| ( rearsegP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1685,plain,
! [X0: $i] :
( ~ ( ssList @ sk__54 )
| ( sk__47 != X0 )
| ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) )
| ( rearsegP @ X0 @ sk__54 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl17]) ).
thf(zip_derived_cl199,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1691,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) )
| ( rearsegP @ X0 @ sk__54 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1685,zip_derived_cl199]) ).
thf(zip_derived_cl1769,plain,
! [X0: $i] :
( ~ ( ssList @ sk__53 )
| ~ ( ssList @ ( cons @ sk__52 @ nil ) )
| ( sk__47 != X0 )
| ( rearsegP @ X0 @ sk__54 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl1691]) ).
thf(zip_derived_cl192,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1787,plain,
! [X0: $i] :
( ~ ( ssList @ ( cons @ sk__52 @ nil ) )
| ( sk__47 != X0 )
| ( rearsegP @ X0 @ sk__54 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1769,zip_derived_cl192]) ).
thf(zip_derived_cl1840,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__52 )
| ( sk__47 != X0 )
| ( rearsegP @ X0 @ sk__54 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl1787]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl200,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1841,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ( rearsegP @ X0 @ sk__54 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1840,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( rearsegP @ X1 @ X0 )
| ( ( app @ ( sk__6 @ X0 @ X1 ) @ X0 )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(ax36,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( memberP @ ( app @ V @ W ) @ U )
<=> ( ( memberP @ V @ U )
| ( memberP @ W @ U ) ) ) ) ) ) ).
thf(zip_derived_cl109,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X1 @ X2 )
| ( memberP @ ( app @ X0 @ X1 ) @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl2254,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( rearsegP @ X0 @ X2 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ ( sk__6 @ X2 @ X0 ) )
| ~ ( memberP @ X2 @ X1 )
| ( memberP @ X0 @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl109]) ).
thf(zip_derived_cl2262,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X1 )
| ( memberP @ X0 @ X1 )
| ~ ( memberP @ X2 @ X1 )
| ~ ( ssList @ ( sk__6 @ X2 @ X0 ) )
| ~ ( ssList @ X2 )
| ~ ( rearsegP @ X0 @ X2 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2254]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( rearsegP @ X1 @ X0 )
| ( ssList @ ( sk__6 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl3748,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( rearsegP @ X0 @ X2 )
| ~ ( ssList @ X2 )
| ~ ( memberP @ X2 @ X1 )
| ( memberP @ X0 @ X1 )
| ~ ( ssItem @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl2262,zip_derived_cl16]) ).
thf(zip_derived_cl3751,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__47 != X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ sk__54 )
| ~ ( memberP @ sk__54 @ X1 )
| ( memberP @ X0 @ X1 )
| ~ ( ssItem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1841,zip_derived_cl3748]) ).
thf(zip_derived_cl199_001,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3757,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__47 != X0 )
| ~ ( ssList @ X0 )
| ~ ( memberP @ sk__54 @ X1 )
| ( memberP @ X0 @ X1 )
| ~ ( ssItem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3751,zip_derived_cl199]) ).
thf(zip_derived_cl3758,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ( memberP @ X0 @ X1 )
| ~ ( memberP @ sk__54 @ X1 )
| ( sk__47 != X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3757]) ).
thf(zip_derived_cl3939,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ~ ( memberP @ sk__54 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3758]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3940,plain,
! [X0: $i] :
( ~ ( memberP @ sk__54 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3939,zip_derived_cl190]) ).
thf(zip_derived_cl4126,plain,
( ( memberP @ sk__53 @ sk__55 )
| ( memberP @ sk__47 @ sk__55 )
| ~ ( ssItem @ sk__55 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl3940]) ).
thf(zip_derived_cl193,plain,
ssItem @ sk__55,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4128,plain,
( ( memberP @ sk__53 @ sk__55 )
| ( memberP @ sk__47 @ sk__55 ) ),
inference(demod,[status(thm)],[zip_derived_cl4126,zip_derived_cl193]) ).
thf(zip_derived_cl82_002,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(ax81,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).
thf(zip_derived_cl171,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_cl82_003,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl198_004,plain,
( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl172,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_cl3068,plain,
( ~ ( ssList @ ( cons @ sk__52 @ nil ) )
| ( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) )
| ~ ( ssList @ sk__54 )
| ~ ( ssList @ sk__53 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl172]) ).
thf(zip_derived_cl199_005,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_006,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3086,plain,
( ~ ( ssList @ ( cons @ sk__52 @ nil ) )
| ( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3068,zip_derived_cl199,zip_derived_cl192]) ).
thf(zip_derived_cl5210,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__52 )
| ( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl3086]) ).
thf(zip_derived_cl83_007,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl200_008,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5211,plain,
( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5210,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl5293,plain,
( ~ ( ssList @ sk__54 )
| ~ ( ssItem @ sk__52 )
| ( sk__47
= ( app @ sk__53 @ ( cons @ sk__52 @ sk__54 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl5211]) ).
thf(zip_derived_cl199_009,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_010,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5295,plain,
( sk__47
= ( app @ sk__53 @ ( cons @ sk__52 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5293,zip_derived_cl199,zip_derived_cl200]) ).
thf(zip_derived_cl108,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X0 @ X1 )
| ( memberP @ ( app @ X0 @ X2 ) @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl5401,plain,
! [X0: $i] :
( ~ ( ssList @ sk__53 )
| ~ ( memberP @ sk__53 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssList @ ( cons @ sk__52 @ sk__54 ) )
| ~ ( ssItem @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5295,zip_derived_cl108]) ).
thf(zip_derived_cl192_011,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5455,plain,
! [X0: $i] :
( ~ ( memberP @ sk__53 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssList @ ( cons @ sk__52 @ sk__54 ) )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5401,zip_derived_cl192]) ).
thf(zip_derived_cl5644,plain,
! [X0: $i] :
( ~ ( ssList @ sk__54 )
| ~ ( ssItem @ sk__52 )
| ~ ( memberP @ sk__53 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl5455]) ).
thf(zip_derived_cl199_012,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_013,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5645,plain,
! [X0: $i] :
( ~ ( memberP @ sk__53 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5644,zip_derived_cl199,zip_derived_cl200]) ).
thf(zip_derived_cl5666,plain,
( ( memberP @ sk__47 @ sk__55 )
| ( memberP @ sk__47 @ sk__55 )
| ~ ( ssItem @ sk__55 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4128,zip_derived_cl5645]) ).
thf(zip_derived_cl193_014,plain,
ssItem @ sk__55,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5668,plain,
( ( memberP @ sk__47 @ sk__55 )
| ( memberP @ sk__47 @ sk__55 ) ),
inference(demod,[status(thm)],[zip_derived_cl5666,zip_derived_cl193]) ).
thf(zip_derived_cl5669,plain,
memberP @ sk__47 @ sk__55,
inference(simplify,[status(thm)],[zip_derived_cl5668]) ).
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_cl203,plain,
( ~ ( neq @ sk__50 @ nil )
| ( ( cons @ sk__51 @ nil )
= sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1500,plain,
( ~ ( ssList @ sk__50 )
| ( sk__50 = nil )
| ~ ( ssList @ nil )
| ( ( cons @ sk__51 @ nil )
= sk__49 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl203]) ).
thf(zip_derived_cl206_015,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl207,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl206_016,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1552,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl206]) ).
thf(zip_derived_cl206_017,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_018,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl201_019,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1606,plain,
( ( sk__48 = nil )
| ( ( cons @ sk__51 @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl1500,zip_derived_cl206,zip_derived_cl1552,zip_derived_cl206,zip_derived_cl83,zip_derived_cl201]) ).
thf(ax37,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( memberP @ ( cons @ V @ W ) @ U )
<=> ( ( U = V )
| ( memberP @ W @ U ) ) ) ) ) ) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ ( cons @ X0 @ X1 ) @ X2 )
| ( X2 = X0 )
| ( memberP @ X1 @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl2279,plain,
! [X0: $i] :
( ( sk__48 = nil )
| ~ ( ssItem @ sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ( X0 = sk__51 )
| ( memberP @ nil @ X0 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1606,zip_derived_cl110]) ).
thf(zip_derived_cl83_020,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2282,plain,
! [X0: $i] :
( ( sk__48 = nil )
| ~ ( ssItem @ sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ( X0 = sk__51 )
| ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2279,zip_derived_cl83]) ).
thf(zip_derived_cl81_021,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl204,plain,
( ~ ( neq @ sk__50 @ nil )
| ( ssItem @ sk__51 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1501,plain,
( ~ ( ssList @ sk__50 )
| ( sk__50 = nil )
| ~ ( ssList @ nil )
| ( ssItem @ sk__51 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl204]) ).
thf(zip_derived_cl206_022,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1552_023,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl206]) ).
thf(zip_derived_cl206_024,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_025,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1574,plain,
( ( sk__48 = nil )
| ( ssItem @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl1501,zip_derived_cl206,zip_derived_cl1552,zip_derived_cl206,zip_derived_cl83]) ).
thf(zip_derived_cl6028,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( memberP @ nil @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ( sk__48 = nil ) ),
inference(clc,[status(thm)],[zip_derived_cl2282,zip_derived_cl1574]) ).
thf(ax38,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ~ ( memberP @ nil @ U ) ) ).
thf(zip_derived_cl113,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl6029,plain,
! [X0: $i] :
( ( sk__48 = nil )
| ~ ( memberP @ sk__47 @ X0 )
| ( X0 = sk__51 )
| ~ ( ssItem @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl6028,zip_derived_cl113]) ).
thf(zip_derived_cl6035,plain,
( ( sk__48 = nil )
| ( sk__55 = sk__51 )
| ~ ( ssItem @ sk__55 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5669,zip_derived_cl6029]) ).
thf(zip_derived_cl193_026,plain,
ssItem @ sk__55,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6043,plain,
( ( sk__48 = nil )
| ( sk__55 = sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl6035,zip_derived_cl193]) ).
thf(zip_derived_cl5295_027,plain,
( sk__47
= ( app @ sk__53 @ ( cons @ sk__52 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5293,zip_derived_cl199,zip_derived_cl200]) ).
thf(ax3,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( memberP @ U @ V )
<=> ? [W: $i] :
( ? [X: $i] :
( ( ( app @ W @ ( cons @ V @ X ) )
= U )
& ( ssList @ X ) )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ X3 @ ( cons @ X0 @ X1 ) )
!= X2 )
| ~ ( ssList @ X3 )
| ( memberP @ X2 @ X0 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl5424,plain,
! [X0: $i] :
( ~ ( ssItem @ sk__52 )
| ~ ( ssList @ sk__54 )
| ( sk__47 != X0 )
| ~ ( ssList @ sk__53 )
| ( memberP @ X0 @ sk__52 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5295,zip_derived_cl8]) ).
thf(zip_derived_cl200_028,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_029,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_030,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5478,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ( memberP @ X0 @ sk__52 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5424,zip_derived_cl200,zip_derived_cl199,zip_derived_cl192]) ).
thf(zip_derived_cl6029_031,plain,
! [X0: $i] :
( ( sk__48 = nil )
| ~ ( memberP @ sk__47 @ X0 )
| ( X0 = sk__51 )
| ~ ( ssItem @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl6028,zip_derived_cl113]) ).
thf(zip_derived_cl6031,plain,
( ~ ( ssList @ sk__47 )
| ( sk__47 != sk__47 )
| ( sk__48 = nil )
| ( sk__52 = sk__51 )
| ~ ( ssItem @ sk__52 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5478,zip_derived_cl6029]) ).
thf(zip_derived_cl190_032,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_033,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6038,plain,
( ( sk__47 != sk__47 )
| ( sk__48 = nil )
| ( sk__52 = sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl6031,zip_derived_cl190,zip_derived_cl200]) ).
thf(zip_derived_cl6039,plain,
( ( sk__52 = sk__51 )
| ( sk__48 = nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl6038]) ).
thf(zip_derived_cl197,plain,
( ~ ( leq @ sk__55 @ sk__52 )
| ~ ( leq @ sk__52 @ sk__55 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6094,plain,
( ( sk__48 = nil )
| ~ ( leq @ sk__55 @ sk__51 )
| ~ ( leq @ sk__51 @ sk__55 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6039,zip_derived_cl197]) ).
thf(zip_derived_cl7695,plain,
( ( sk__48 = nil )
| ( sk__48 = nil )
| ~ ( leq @ sk__51 @ sk__51 )
| ~ ( leq @ sk__51 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6043,zip_derived_cl6094]) ).
thf(zip_derived_cl7696,plain,
( ~ ( leq @ sk__51 @ sk__51 )
| ( sk__48 = nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl7695]) ).
thf(zip_derived_cl7704,plain,
( ~ ( ssItem @ sk__51 )
| ( sk__48 = nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl7696]) ).
thf(zip_derived_cl1574_034,plain,
( ( sk__48 = nil )
| ( ssItem @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl1501,zip_derived_cl206,zip_derived_cl1552,zip_derived_cl206,zip_derived_cl83]) ).
thf(zip_derived_cl7705,plain,
sk__48 = nil,
inference(clc,[status(thm)],[zip_derived_cl7704,zip_derived_cl1574]) ).
thf(zip_derived_cl7707,plain,
( ( nil != nil )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl1550,zip_derived_cl7705]) ).
thf(zip_derived_cl7708,plain,
nil = sk__47,
inference(simplify,[status(thm)],[zip_derived_cl7707]) ).
thf(zip_derived_cl5478_035,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ( memberP @ X0 @ sk__52 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5424,zip_derived_cl200,zip_derived_cl199,zip_derived_cl192]) ).
thf(zip_derived_cl113_036,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl6011,plain,
( ~ ( ssList @ nil )
| ( sk__47 != nil )
| ~ ( ssItem @ sk__52 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5478,zip_derived_cl113]) ).
thf(zip_derived_cl83_037,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl200_038,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6016,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl6011,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl7709,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7708,zip_derived_cl6016]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC284+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sWEQfRYVU2 true
% 0.14/0.34 % Computer : n009.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 16:14:35 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
% 0.50/0.63 % Total configuration time : 435
% 0.50/0.63 % Estimated wc time : 1092
% 0.50/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 11.12/2.16 % Solved by fo/fo6_bce.sh.
% 11.12/2.16 % BCE start: 209
% 11.12/2.16 % BCE eliminated: 4
% 11.12/2.16 % PE start: 205
% 11.12/2.16 logic: eq
% 11.12/2.16 % PE eliminated: 5
% 11.12/2.16 % done 862 iterations in 1.456s
% 11.12/2.16 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.12/2.16 % SZS output start Refutation
% See solution above
% 11.12/2.16
% 11.12/2.16
% 11.12/2.16 % Terminating...
% 11.62/2.24 % Runner terminated.
% 11.62/2.25 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------