%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC076+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.31zUeAiZWC true
% Computer : n016.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 04:58:31 PM UTC 2025
% Result : Theorem 0.53s 0.77s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 41 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 146 ( 52 equ; 0 cnn)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 339 ( 58 ~; 58 |; 28 &; 176 @)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 30 !; 16 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(equalelemsP_type,type,
equalelemsP: $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(ax55,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ U ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ( segmentP @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax55]) ).
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] :
( ( segmentP @ U @ Y )
& ( segmentP @ V @ Y )
& ( neq @ Y @ nil )
& ( ssList @ Y ) )
| ! [Z: $i] :
( ( ssList @ Z )
=> ! [X1: $i] :
( ( ssList @ X1 )
=> ( ( ( app @ ( app @ Z @ W ) @ X1 )
!= X )
| ~ ( equalelemsP @ W )
| ? [X2: $i] :
( ? [X3: $i] :
( ? [X4: $i] :
( ( ( app @ ( cons @ X2 @ nil ) @ X4 )
= W )
& ( ssList @ X4 ) )
& ( ( app @ X3 @ ( cons @ X2 @ nil ) )
= Z )
& ( ssList @ X3 ) )
& ( ssItem @ X2 ) )
| ? [X5: $i] :
( ? [X6: $i] :
( ? [X7: $i] :
( ( ( app @ X7 @ ( cons @ X5 @ nil ) )
= W )
& ( ssList @ X7 ) )
& ( ( app @ ( cons @ X5 @ nil ) @ X6 )
= X1 )
& ( ssList @ X6 ) )
& ( ssItem @ X5 ) ) ) ) )
| ( ( nil != X )
& ( nil = W ) )
| ( ( nil = V )
& ( nil = U ) ) ) ) ) ) ) ).
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] :
( ( segmentP @ U @ Y )
& ( segmentP @ V @ Y )
& ( neq @ Y @ nil )
& ( ssList @ Y ) )
| ! [Z: $i] :
( ( ssList @ Z )
=> ! [X1: $i] :
( ( ssList @ X1 )
=> ( ( ( app @ ( app @ Z @ W ) @ X1 )
!= X )
| ~ ( equalelemsP @ W )
| ? [X2: $i] :
( ? [X3: $i] :
( ? [X4: $i] :
( ( ( app @ ( cons @ X2 @ nil ) @ X4 )
= W )
& ( ssList @ X4 ) )
& ( ( app @ X3 @ ( cons @ X2 @ nil ) )
= Z )
& ( ssList @ X3 ) )
& ( ssItem @ X2 ) )
| ? [X5: $i] :
( ? [X6: $i] :
( ? [X7: $i] :
( ( ( app @ X7 @ ( cons @ X5 @ nil ) )
= W )
& ( ssList @ X7 ) )
& ( ( app @ ( cons @ X5 @ nil ) @ X6 )
= X1 )
& ( ssList @ X6 ) )
& ( ssItem @ X5 ) ) ) ) )
| ( ( nil != X )
& ( nil = W ) )
| ( ( nil = V )
& ( nil = U ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl57,plain,
( ( app @ ( app @ sk__14 @ sk__12 ) @ sk__15 )
= sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51,plain,
sk__10 = sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59,plain,
sk__11 = sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl386,plain,
( ( app @ ( app @ sk__14 @ sk__10 ) @ sk__15 )
= sk__11 ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl51,zip_derived_cl59]) ).
thf(ax7,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( segmentP @ U @ V )
<=> ? [W: $i] :
( ? [X: $i] :
( ( ( app @ ( app @ W @ V ) @ X )
= U )
& ( ssList @ X ) )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X3 @ X0 ) @ X1 )
!= X2 )
| ~ ( ssList @ X3 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl452,plain,
! [X0: $i] :
( ( sk__11 != X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__10 )
| ~ ( ssList @ sk__14 )
| ~ ( ssList @ sk__15 )
| ~ ( ssList @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl8]) ).
thf(zip_derived_cl53,plain,
ssList @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58,plain,
ssList @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47,plain,
ssList @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl460,plain,
! [X0: $i] :
( ( sk__11 != X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl452,zip_derived_cl53,zip_derived_cl58,zip_derived_cl47]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__10 @ X0 )
| ~ ( segmentP @ sk__11 @ X0 )
| ~ ( neq @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl343,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( X0 = nil )
| ~ ( ssList @ nil )
| ~ ( ssList @ X0 )
| ~ ( segmentP @ sk__11 @ X0 )
| ~ ( segmentP @ sk__10 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl50]) ).
thf(zip_derived_cl782,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__10 @ X0 )
| ~ ( segmentP @ sk__11 @ X0 )
| ~ ( ssList @ nil )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl343]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl19,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl783,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__10 @ X0 )
| ~ ( segmentP @ sk__11 @ X0 )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl782,zip_derived_cl19]) ).
thf(zip_derived_cl790,plain,
( ~ ( ssList @ sk__11 )
| ( sk__11 != sk__11 )
| ~ ( ssList @ sk__10 )
| ( sk__10 = nil )
| ~ ( segmentP @ sk__10 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl783]) ).
thf(zip_derived_cl60,plain,
ssList @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59_001,plain,
sk__11 = sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl357,plain,
ssList @ sk__11,
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl59]) ).
thf(zip_derived_cl47_002,plain,
ssList @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl795,plain,
( ( sk__11 != sk__11 )
| ( sk__10 = nil )
| ~ ( segmentP @ sk__10 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl790,zip_derived_cl357,zip_derived_cl47]) ).
thf(zip_derived_cl796,plain,
( ~ ( segmentP @ sk__10 @ sk__10 )
| ( sk__10 = nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl795]) ).
thf(zip_derived_cl52,plain,
( ( nil = sk__13 )
| ( nil != sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51_003,plain,
sk__10 = sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl353,plain,
( ( nil = sk__13 )
| ( nil != sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl51]) ).
thf(zip_derived_cl59_004,plain,
sk__11 = sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl355,plain,
( ( sk__11 = nil )
| ( nil != sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl353,zip_derived_cl59]) ).
thf(zip_derived_cl49,plain,
( ( nil != sk__11 )
| ( nil != sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl356,plain,
nil != sk__10,
inference(clc,[status(thm)],[zip_derived_cl355,zip_derived_cl49]) ).
thf(zip_derived_cl797,plain,
~ ( segmentP @ sk__10 @ sk__10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl796,zip_derived_cl356]) ).
thf(zip_derived_cl813,plain,
~ ( ssList @ sk__10 ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl797]) ).
thf(zip_derived_cl47_005,plain,
ssList @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl816,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl813,zip_derived_cl47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWC076+1 : TPTP v9.2.0. Released v2.4.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.31zUeAiZWC true
% 0.12/0.32 % Computer : n016.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Oct 1 17:14:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/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
% 0.53/0.62 % Total configuration time : 435
% 0.53/0.62 % Estimated wc time : 1092
% 0.53/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.77 % Solved by fo/fo3_bce.sh.
% 0.53/0.77 % BCE start: 62
% 0.53/0.77 % BCE eliminated: 2
% 0.53/0.77 % PE start: 60
% 0.53/0.77 logic: eq
% 0.53/0.77 % PE eliminated: 2
% 0.53/0.77 % done 98 iterations in 0.062s
% 0.53/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.77 % SZS output start Refutation
% See solution above
% 0.53/0.77
% 0.53/0.77
% 0.53/0.77 % Terminating...
% 0.55/0.82 % Runner terminated.
% 0.55/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------