%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC233+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6fW3eY7THh true
% Computer : n031.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 Oct 2 04:59:03 PM UTC 2025
% Result : Theorem 3.49s 1.16s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 203 ( 51 equ; 0 cnn)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 627 ( 113 ~; 106 |; 24 &; 363 @)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 92 ( 0 ^; 76 !; 16 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__21_type,type,
sk__21: $i > $i > $i > $i ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(nil_type,type,
nil: $i ).
thf(lt_type,type,
lt: $i > $i > $o ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $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] :
( ( 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 )
| ( lt @ Y @ X2 ) ) )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= U )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ? [X3: $i] :
( ? [X4: $i] :
( ? [X5: $i] :
( ? [X6: $i] :
( ( ( ( memberP @ X4 @ X6 )
& ~ ( lt @ X6 @ X3 ) )
| ( ( memberP @ X5 @ X6 )
& ~ ( lt @ X3 @ X6 ) ) )
& ( ssItem @ X6 ) )
& ( ( app @ ( app @ X4 @ ( cons @ X3 @ nil ) ) @ X5 )
= W )
& ( ssList @ X5 ) )
& ( ssList @ X4 ) )
& ( ssItem @ X3 ) ) ) ) ) ) ) ).
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 )
| ( lt @ Y @ X2 ) ) )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= U )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ? [X3: $i] :
( ? [X4: $i] :
( ? [X5: $i] :
( ? [X6: $i] :
( ( ( ( memberP @ X4 @ X6 )
& ~ ( lt @ X6 @ X3 ) )
| ( ( memberP @ X5 @ X6 )
& ~ ( lt @ X3 @ X6 ) ) )
& ( ssItem @ X6 ) )
& ( ( app @ ( app @ X4 @ ( cons @ X3 @ nil ) ) @ X5 )
= W )
& ( ssList @ X5 ) )
& ( ssList @ X4 ) )
& ( ssItem @ X3 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl87,plain,
ssList @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax20,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil = U )
| ? [V: $i] :
( ? [W: $i] :
( ( ( cons @ W @ V )
= U )
& ( ssItem @ W ) )
& ( ssList @ V ) ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ( ( cons @ ( sk__15 @ X0 ) @ ( sk__14 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(ax81,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
= ( app @ ( cons @ X0 @ nil ) @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax81]) ).
thf(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(zip_derived_cl91,plain,
! [X4: $i,X5: $i,X6: $i] :
( ~ ( ssList @ X4 )
| ( ssItem @ ( sk__21 @ X5 @ X4 @ X6 ) )
| ( ( app @ ( app @ X4 @ ( cons @ X6 @ nil ) ) @ X5 )
!= sk__17 )
| ~ ( ssList @ X5 )
| ~ ( ssItem @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax38,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ~ ( memberP @ nil @ U ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl92,plain,
! [X4: $i,X5: $i,X6: $i] :
( ~ ( ssList @ X4 )
| ( memberP @ X4 @ ( sk__21 @ X5 @ X4 @ X6 ) )
| ( ( app @ ( app @ X4 @ ( cons @ X6 @ nil ) ) @ X5 )
!= sk__17 )
| ~ ( ssList @ X5 )
| ~ ( ssItem @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1747,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ ( sk__21 @ X1 @ nil @ X0 ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__17 )
| ~ ( ssList @ nil ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl92]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl24,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1748,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ ( sk__21 @ X1 @ nil @ X0 ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1747,zip_derived_cl24]) ).
thf(zip_derived_cl1755,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__17 )
| ~ ( ssList @ nil )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__17 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl1748]) ).
thf(zip_derived_cl24_001,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1756,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__17 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__17 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1755,zip_derived_cl24]) ).
thf(zip_derived_cl1757,plain,
! [X0: $i,X1: $i] :
( ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__17 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1756]) ).
thf(zip_derived_cl1764,plain,
! [X0: $i,X1: $i] :
( ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__17 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl1757]) ).
thf(ax84,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ U @ nil )
= U ) ) ).
thf(zip_derived_cl76,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
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_cl35,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_cl1244,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ X0 ) @ nil ) )
| ~ ( ssList @ X0 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl76,zip_derived_cl35]) ).
thf(zip_derived_cl24_002,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1252,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ X0 ) @ nil ) )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1244,zip_derived_cl24]) ).
thf(zip_derived_cl1253,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ X0 ) @ nil ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1252]) ).
thf(zip_derived_cl71_003,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
= ( app @ ( cons @ X0 @ nil ) @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax81]) ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl819,plain,
! [X0: $i,X1: $i] :
( ( ssList @ ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl23]) ).
thf(zip_derived_cl830,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ( ssList @ ( app @ ( cons @ X1 @ nil ) @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl819]) ).
thf(zip_derived_cl1488,plain,
! [X0: $i] :
( ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1253,zip_derived_cl830]) ).
thf(zip_derived_cl24_004,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl24_005,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1520,plain,
! [X0: $i] :
( ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1488,zip_derived_cl24,zip_derived_cl24]) ).
thf(zip_derived_cl1521,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ nil ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1520]) ).
thf(zip_derived_cl1837,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 )
| ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__17 ) ),
inference(clc,[status(thm)],[zip_derived_cl1764,zip_derived_cl1521]) ).
thf(zip_derived_cl1840,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
!= sk__17 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl1837]) ).
thf(zip_derived_cl1847,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
!= sk__17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1840]) ).
thf(zip_derived_cl1883,plain,
! [X0: $i] :
( ( X0 != sk__17 )
| ~ ( ssList @ X0 )
| ( nil = X0 )
| ~ ( ssList @ ( sk__14 @ X0 ) )
| ~ ( ssItem @ ( sk__15 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl1847]) ).
thf(zip_derived_cl30,plain,
! [X0: $i] :
( ( ssList @ ( sk__14 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl2065,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__15 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 )
| ( X0 != sk__17 ) ),
inference(clc,[status(thm)],[zip_derived_cl1883,zip_derived_cl30]) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
( ( ssItem @ ( sk__15 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl2066,plain,
! [X0: $i] :
( ( X0 != sk__17 )
| ~ ( ssList @ X0 )
| ( nil = X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2065,zip_derived_cl28]) ).
thf(zip_derived_cl2097,plain,
( ( nil = sk__17 )
| ( sk__17 != sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl2066]) ).
thf(zip_derived_cl2112,plain,
nil = sk__17,
inference(simplify,[status(thm)],[zip_derived_cl2097]) ).
thf(zip_derived_cl96,plain,
nil != sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2113,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2112,zip_derived_cl96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC233+1 : TPTP v9.2.0. Released v2.4.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6fW3eY7THh true
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 17:10:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.49/0.61 % Total configuration time : 435
% 0.49/0.61 % Estimated wc time : 1092
% 0.49/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.49/1.16 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 3.49/1.16 % Solved by fo/fo3_bce.sh.
% 3.49/1.16 % BCE start: 101
% 3.49/1.16 % BCE eliminated: 2
% 3.49/1.16 % PE start: 99
% 3.49/1.16 logic: eq
% 3.49/1.16 % PE eliminated: 0
% 3.49/1.16 % done 216 iterations in 0.382s
% 3.49/1.16 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.49/1.16 % SZS output start Refutation
% See solution above
% 3.49/1.16
% 3.49/1.16
% 3.49/1.16 % Terminating...
% 4.30/1.30 % Runner terminated.
% 4.30/1.32 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------