TSTP Solution File: SWC228+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC228+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5ryxFfEsao true
% Computer : n004.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 21:30:02 EDT 2023
% Result : Theorem 20.19s 3.54s
% Output : Refutation 20.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 22
% Syntax : Number of formulae : 59 ( 9 unt; 13 typ; 0 def)
% Number of atoms : 192 ( 58 equ; 0 cnn)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 581 ( 110 ~; 99 |; 22 &; 325 @)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 84 ( 0 ^; 70 !; 14 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__47_type,type,
sk__47: $i ).
thf(nil_type,type,
nil: $i ).
thf(lt_type,type,
lt: $i > $i > $o ).
thf(app_type,type,
app: $i > $i > $i ).
thf(hd_type,type,
hd: $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(tl_type,type,
tl: $i > $i ).
thf(sk__52_type,type,
sk__52: $i > $i > $i > $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(strictorderedP_type,type,
strictorderedP: $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
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(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(ax27,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ( ( cons @ W @ ( app @ V @ U ) )
= ( app @ ( cons @ W @ V ) @ U ) ) ) ) ) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( cons @ X1 @ ( app @ X0 @ X2 ) )
= ( app @ ( cons @ X1 @ X0 ) @ X2 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax27]) ).
thf(zip_derived_cl1917,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ nil )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl97,zip_derived_cl96]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1925,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1917,zip_derived_cl83]) ).
thf(zip_derived_cl1926,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1925]) ).
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(zip_derived_cl97_001,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ( nil = U )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ~ ( memberP @ Z @ X2 )
| ~ ( memberP @ X1 @ X2 )
| ~ ( leq @ Y @ X2 )
| ( leq @ X2 @ Y ) ) )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= U )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ! [X3: $i] :
( ( ssList @ X3 )
=> ( ( ( app @ W @ X3 )
!= X )
| ~ ( strictorderedP @ W )
| ? [X4: $i] :
( ? [X5: $i] :
( ? [X6: $i] :
( ? [X7: $i] :
( ( lt @ X6 @ X4 )
& ( ( app @ X7 @ ( cons @ X6 @ nil ) )
= W )
& ( ssList @ X7 ) )
& ( ssItem @ X6 ) )
& ( ( app @ ( cons @ X4 @ nil ) @ X5 )
= X3 )
& ( ssList @ X5 ) )
& ( ssItem @ X4 ) ) ) )
| ( ( nil != X )
& ( nil = W ) ) ) ) ) ) ) ).
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 )
| ( nil = U )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ~ ( memberP @ Z @ X2 )
| ~ ( memberP @ X1 @ X2 )
| ~ ( leq @ Y @ X2 )
| ( leq @ X2 @ Y ) ) )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= U )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ! [X3: $i] :
( ( ssList @ X3 )
=> ( ( ( app @ W @ X3 )
!= X )
| ~ ( strictorderedP @ W )
| ? [X4: $i] :
( ? [X5: $i] :
( ? [X6: $i] :
( ? [X7: $i] :
( ( lt @ X6 @ X4 )
& ( ( app @ X7 @ ( cons @ X6 @ nil ) )
= W )
& ( ssList @ X7 ) )
& ( ssItem @ X6 ) )
& ( ( app @ ( cons @ X4 @ nil ) @ X5 )
= X3 )
& ( ssList @ X5 ) )
& ( ssItem @ X4 ) ) ) )
| ( ( nil != X )
& ( nil = W ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ssItem @ ( sk__52 @ X1 @ X0 @ X2 ) )
| ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( memberP @ X0 @ ( sk__52 @ X1 @ X0 @ X2 ) )
| ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl3133,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ ( sk__52 @ X1 @ nil @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl113]) ).
thf(zip_derived_cl83_002,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3135,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssItem @ ( sk__52 @ X1 @ nil @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3133,zip_derived_cl83]) ).
thf(zip_derived_cl3137,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl192,zip_derived_cl3135]) ).
thf(zip_derived_cl83_003,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3138,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl3137,zip_derived_cl83]) ).
thf(zip_derived_cl3139,plain,
! [X0: $i,X1: $i] :
( ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3138]) ).
thf(zip_derived_cl3152,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ ( cons @ X0 @ nil ) )
| ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl3139]) ).
thf(zip_derived_cl3175,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl3152]) ).
thf(zip_derived_cl83_004,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3176,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3175,zip_derived_cl83]) ).
thf(zip_derived_cl3177,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__47 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3176]) ).
thf(zip_derived_cl3184,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
!= sk__47 )
| ~ ( ssItem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1926,zip_derived_cl3177]) ).
thf(zip_derived_cl3187,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
!= sk__47 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3184]) ).
thf(zip_derived_cl3189,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( X0 != sk__47 )
| ~ ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ ( tl @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl3187]) ).
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_cl6992,plain,
! [X0: $i] :
( ~ ( ssList @ ( tl @ X0 ) )
| ( X0 != sk__47 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3189,zip_derived_cl91]) ).
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_cl6993,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( X0 != sk__47 ) ),
inference(clc,[status(thm)],[zip_derived_cl6992,zip_derived_cl93]) ).
thf(zip_derived_cl6994,plain,
( ( nil = sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6993]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6995,plain,
nil = sk__47,
inference(demod,[status(thm)],[zip_derived_cl6994,zip_derived_cl190]) ).
thf(zip_derived_cl197,plain,
nil != sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6996,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6995,zip_derived_cl197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC228+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5ryxFfEsao true
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 14:45:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.70 % Total configuration time : 435
% 0.54/0.70 % Estimated wc time : 1092
% 0.54/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 20.19/3.54 % Solved by fo/fo6_bce.sh.
% 20.19/3.54 % BCE start: 207
% 20.19/3.54 % BCE eliminated: 6
% 20.19/3.54 % PE start: 201
% 20.19/3.54 logic: eq
% 20.19/3.54 % PE eliminated: 6
% 20.19/3.54 % done 881 iterations in 2.693s
% 20.19/3.54 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 20.19/3.54 % SZS output start Refutation
% See solution above
% 20.19/3.54
% 20.19/3.54
% 20.19/3.54 % Terminating...
% 20.69/3.63 % Runner terminated.
% 20.69/3.65 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------