%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC313+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5puEzfGCko true
% Computer : n019.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 04:59:20 PM UTC 2025
% Result : Theorem 0.58s 0.81s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 41 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 138 ( 71 equ; 0 cnn)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 336 ( 73 ~; 65 |; 18 &; 166 @)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 47 ( 0 ^; 37 !; 10 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__5_type,type,
sk__5: $i ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
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] :
( ? [Z: $i] :
( ( ( app @ ( cons @ Y @ nil ) @ Z )
= X )
& ( ( app @ Z @ ( cons @ Y @ nil ) )
!= W )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ( ( nil != W )
& ( nil = X ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ~ ( neq @ V @ nil )
| ? [X1: $i] :
( ? [X2: $i] :
( ( ( app @ X2 @ ( cons @ X1 @ nil ) )
= U )
& ( ( app @ ( cons @ X1 @ nil ) @ X2 )
= V )
& ( ssList @ X2 ) )
& ( ssItem @ X1 ) ) ) ) ) ) ) ) ) ).
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] :
( ? [Z: $i] :
( ( ( app @ ( cons @ Y @ nil ) @ Z )
= X )
& ( ( app @ Z @ ( cons @ Y @ nil ) )
!= W )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ( ( nil != W )
& ( nil = X ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ~ ( neq @ V @ nil )
| ? [X1: $i] :
( ? [X2: $i] :
( ( ( app @ X2 @ ( cons @ X1 @ nil ) )
= U )
& ( ( app @ ( cons @ X1 @ nil ) @ X2 )
= V )
& ( ssList @ X2 ) )
& ( ssItem @ X1 ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl37,plain,
ssList @ 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_cl186,plain,
ssList @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl36]) ).
thf(ax20,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil = U )
| ? [V: $i] :
( ? [W: $i] :
( ( ( cons @ W @ V )
= U )
& ( ssItem @ W ) )
& ( ssList @ V ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( ( cons @ ( sk__3 @ X0 ) @ ( sk__2 @ 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_cl21,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_cl35,plain,
! [X2: $i,X3: $i] :
( ~ ( ssList @ X2 )
| ( ( app @ X2 @ ( cons @ X3 @ nil ) )
= sk__6 )
| ( ( app @ ( cons @ X3 @ nil ) @ X2 )
!= sk__7 )
| ~ ( ssItem @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33,plain,
sk__4 = sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36_001,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl438,plain,
! [X2: $i,X3: $i] :
( ~ ( ssList @ X2 )
| ( ( app @ X2 @ ( cons @ X3 @ nil ) )
= sk__4 )
| ( ( app @ ( cons @ X3 @ nil ) @ X2 )
!= sk__5 )
| ~ ( ssItem @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl33,zip_derived_cl36]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ( nil = sk__5 )
| ~ ( ssList @ X0 )
| ( ( app @ ( cons @ X1 @ nil ) @ X0 )
!= sk__5 )
| ( ( app @ X0 @ ( cons @ X1 @ nil ) )
!= sk__4 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31,plain,
( ( nil != sk__4 )
| ( neq @ sk__5 @ nil ) ),
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_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl182,plain,
( ( nil != sk__4 )
| ~ ( ssList @ sk__5 )
| ( sk__5 != nil )
| ~ ( ssList @ nil ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl31,zip_derived_cl5]) ).
thf(zip_derived_cl189,plain,
( ( nil != sk__4 )
| ( sk__5 != nil )
| ~ ( ssList @ nil ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl182]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl8,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl190,plain,
( ( nil != sk__4 )
| ( sk__5 != nil ) ),
inference(demod,[status(thm)],[zip_derived_cl189,zip_derived_cl8]) ).
thf(zip_derived_cl34,plain,
( ( nil = sk__6 )
| ( nil != sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33_002,plain,
sk__4 = sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl183,plain,
( ( nil = sk__4 )
| ( nil != sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl33]) ).
thf(zip_derived_cl36_003,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl184,plain,
( ( nil = sk__4 )
| ( nil != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl36]) ).
thf(zip_derived_cl191,plain,
sk__5 != nil,
inference(clc,[status(thm)],[zip_derived_cl190,zip_derived_cl184]) ).
thf(zip_derived_cl370,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ ( cons @ X1 @ nil ) @ X0 )
!= sk__5 )
| ( ( app @ X0 @ ( cons @ X1 @ nil ) )
!= sk__4 )
| ~ ( ssItem @ X1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl30,zip_derived_cl191]) ).
thf(zip_derived_cl439,plain,
! [X2: $i,X3: $i] :
( ~ ( ssItem @ X3 )
| ( ( app @ ( cons @ X3 @ nil ) @ X2 )
!= sk__5 )
| ~ ( ssList @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl438,zip_derived_cl370]) ).
thf(zip_derived_cl442,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
!= sk__5 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl439]) ).
thf(zip_derived_cl447,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
!= sk__5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl442]) ).
thf(zip_derived_cl451,plain,
! [X0: $i] :
( ( X0 != sk__5 )
| ~ ( ssList @ X0 )
| ( nil = X0 )
| ~ ( ssList @ ( sk__2 @ X0 ) )
| ~ ( ssItem @ ( sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl447]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ssList @ ( sk__2 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl476,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__3 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 )
| ( X0 != sk__5 ) ),
inference(clc,[status(thm)],[zip_derived_cl451,zip_derived_cl14]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( ssItem @ ( sk__3 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl477,plain,
! [X0: $i] :
( ( X0 != sk__5 )
| ~ ( ssList @ X0 )
| ( nil = X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl476,zip_derived_cl12]) ).
thf(zip_derived_cl489,plain,
( ( nil = sk__5 )
| ( sk__5 != sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl477]) ).
thf(zip_derived_cl493,plain,
nil = sk__5,
inference(simplify,[status(thm)],[zip_derived_cl489]) ).
thf(zip_derived_cl191_004,plain,
sk__5 != nil,
inference(clc,[status(thm)],[zip_derived_cl190,zip_derived_cl184]) ).
thf(zip_derived_cl494,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl493,zip_derived_cl191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWC313+1 : TPTP v9.2.0. Released v2.4.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5puEzfGCko true
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 17:13:53 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.56/0.66 % Total configuration time : 435
% 0.56/0.66 % Estimated wc time : 1092
% 0.56/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.81 % Solved by fo/fo3_bce.sh.
% 0.58/0.81 % BCE start: 39
% 0.58/0.81 % BCE eliminated: 3
% 0.58/0.81 % PE start: 36
% 0.58/0.81 logic: eq
% 0.58/0.81 % PE eliminated: 1
% 0.58/0.81 % done 63 iterations in 0.048s
% 0.58/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.81 % SZS output start Refutation
% See solution above
% 0.58/0.81
% 0.58/0.81
% 0.58/0.82 % Terminating...
% 0.62/0.88 % Runner terminated.
% 1.58/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------