%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV399+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pcwUN1cHsY 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 05:01:00 PM UTC 2025
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 78 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 276 ( 27 ~; 28 |; 8 &; 207 @)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 66 ( 0 ^; 58 !; 8 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(strictly_less_than_type,type,
strictly_less_than: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(less_than_type,type,
less_than: $i > $i > $o ).
thf(update_slb_type,type,
update_slb: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(pair_in_list_type,type,
pair_in_list: $i > $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(l35_co,conjecture,
! [U: $i] :
( ? [V: $i,W: $i] :
( ( strictly_less_than @ V @ W )
& ( pair_in_list @ U @ V @ W ) )
=> ! [X: $i] :
? [Y: $i,Z: $i] :
( ( strictly_less_than @ Y @ Z )
& ( pair_in_list @ ( update_slb @ U @ X ) @ Y @ Z ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ? [V: $i,W: $i] :
( ( strictly_less_than @ V @ W )
& ( pair_in_list @ U @ V @ W ) )
=> ! [X: $i] :
? [Y: $i,Z: $i] :
( ( strictly_less_than @ Y @ Z )
& ( pair_in_list @ ( update_slb @ U @ X ) @ Y @ Z ) ) ),
inference('cnf.neg',[status(esa)],[l35_co]) ).
thf(zip_derived_cl27,plain,
strictly_less_than @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ~ ( strictly_less_than @ X0 @ X1 )
| ~ ( pair_in_list @ ( update_slb @ sk_ @ sk__1 ) @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130,plain,
~ ( pair_in_list @ ( update_slb @ sk_ @ sk__1 ) @ sk__2 @ sk__3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl29]) ).
thf(l35_li3637,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( pair_in_list @ U @ V @ W )
& ( less_than @ X @ W ) )
=> ( pair_in_list @ ( update_slb @ U @ X ) @ V @ W ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( pair_in_list @ X0 @ X1 @ X2 )
| ~ ( less_than @ X3 @ X2 )
| ( pair_in_list @ ( update_slb @ X0 @ X3 ) @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[l35_li3637]) ).
thf(zip_derived_cl193,plain,
( ~ ( less_than @ sk__1 @ sk__3 )
| ~ ( pair_in_list @ sk_ @ sk__2 @ sk__3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl130,zip_derived_cl25]) ).
thf(zip_derived_cl28,plain,
pair_in_list @ sk_ @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl195,plain,
~ ( less_than @ sk__1 @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl28]) ).
thf(zip_derived_cl28_001,plain,
pair_in_list @ sk_ @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(stricly_smaller_definition,axiom,
! [U: $i,V: $i] :
( ( strictly_less_than @ U @ V )
<=> ( ( less_than @ U @ V )
& ~ ( less_than @ V @ U ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( strictly_less_than @ X0 @ X1 )
| ( less_than @ X1 @ X0 )
| ~ ( less_than @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[stricly_smaller_definition]) ).
thf(l35_li3839,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( pair_in_list @ U @ V @ W )
& ( strictly_less_than @ W @ X ) )
=> ( pair_in_list @ ( update_slb @ U @ X ) @ V @ X ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( pair_in_list @ X0 @ X1 @ X2 )
| ~ ( strictly_less_than @ X2 @ X3 )
| ( pair_in_list @ ( update_slb @ X0 @ X3 ) @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[l35_li3839]) ).
thf(zip_derived_cl124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( less_than @ X1 @ X0 )
| ( less_than @ X0 @ X1 )
| ( pair_in_list @ ( update_slb @ X3 @ X0 ) @ X2 @ X0 )
| ~ ( pair_in_list @ X3 @ X2 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl26]) ).
thf(totality,axiom,
! [U: $i,V: $i] :
( ( less_than @ V @ U )
| ( less_than @ U @ V ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( less_than @ X0 @ X1 )
| ( less_than @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[totality]) ).
thf(zip_derived_cl205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( pair_in_list @ X3 @ X2 @ X1 )
| ( pair_in_list @ ( update_slb @ X3 @ X0 ) @ X2 @ X0 )
| ( less_than @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl124,zip_derived_cl1]) ).
thf(zip_derived_cl209,plain,
! [X0: $i] :
( ( less_than @ X0 @ sk__3 )
| ( pair_in_list @ ( update_slb @ sk_ @ X0 ) @ sk__2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl205]) ).
thf(zip_derived_cl5_002,plain,
! [X0: $i,X1: $i] :
( ( strictly_less_than @ X0 @ X1 )
| ( less_than @ X1 @ X0 )
| ~ ( less_than @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[stricly_smaller_definition]) ).
thf(zip_derived_cl29_003,plain,
! [X0: $i,X1: $i] :
( ~ ( strictly_less_than @ X0 @ X1 )
| ~ ( pair_in_list @ ( update_slb @ sk_ @ sk__1 ) @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl125,plain,
! [X0: $i,X1: $i] :
( ~ ( less_than @ X1 @ X0 )
| ( less_than @ X0 @ X1 )
| ~ ( pair_in_list @ ( update_slb @ sk_ @ sk__1 ) @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl29]) ).
thf(zip_derived_cl1_004,plain,
! [X0: $i,X1: $i] :
( ( less_than @ X0 @ X1 )
| ( less_than @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[totality]) ).
thf(zip_derived_cl153,plain,
! [X0: $i,X1: $i] :
( ~ ( pair_in_list @ ( update_slb @ sk_ @ sk__1 ) @ X1 @ X0 )
| ( less_than @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl125,zip_derived_cl1]) ).
thf(zip_derived_cl211,plain,
( ( less_than @ sk__1 @ sk__3 )
| ( less_than @ sk__1 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl153]) ).
thf(zip_derived_cl195_005,plain,
~ ( less_than @ sk__1 @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl28]) ).
thf(zip_derived_cl213,plain,
less_than @ sk__1 @ sk__2,
inference(clc,[status(thm)],[zip_derived_cl211,zip_derived_cl195]) ).
thf(transitivity,axiom,
! [U: $i,V: $i,W: $i] :
( ( ( less_than @ U @ V )
& ( less_than @ V @ W ) )
=> ( less_than @ U @ W ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( less_than @ X0 @ X1 )
| ~ ( less_than @ X1 @ X2 )
| ( less_than @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity]) ).
thf(zip_derived_cl214,plain,
! [X0: $i] :
( ( less_than @ sk__1 @ X0 )
| ~ ( less_than @ sk__2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl0]) ).
thf(zip_derived_cl27_006,plain,
strictly_less_than @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( less_than @ X0 @ X1 )
| ~ ( strictly_less_than @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[stricly_smaller_definition]) ).
thf(zip_derived_cl126,plain,
less_than @ sk__2 @ sk__3,
inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl3]) ).
thf(zip_derived_cl223,plain,
less_than @ sk__1 @ sk__3,
inference('sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl126]) ).
thf(zip_derived_cl232,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV399+1 : TPTP v9.2.0. Released v3.3.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pcwUN1cHsY true
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 12:35:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % Solved by fo/fo3_bce.sh.
% 0.55/0.75 % BCE start: 30
% 0.55/0.75 % BCE eliminated: 0
% 0.55/0.75 % PE start: 30
% 0.55/0.75 logic: eq
% 0.55/0.75 % PE eliminated: 0
% 0.55/0.75 % done 59 iterations in 0.024s
% 0.55/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.75 % SZS output start Refutation
% See solution above
% 0.55/0.76
% 0.55/0.76
% 0.55/0.76 % Terminating...
% 0.58/0.84 % Runner terminated.
% 0.58/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------