%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWX200+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.R6dhu1g9QJ true
% Computer : n001.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 : Tue May 5 07:08:48 PM UTC 2026
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 74 ( 10 ~; 6 |; 1 &; 52 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 17 !; 4 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(nil_type,type,
nil: $i ).
thf(leqNat_type,type,
leqNat: $i > $i > $o ).
thf(merge_type,type,
merge: $i > $i > $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(ord_type,type,
ord: $i > $o ).
thf(z_type,type,
z: $i ).
thf(s_type,type,
s: $i > $i ).
thf(axiom_007,axiom,
! [Z: $i] :
~ ( leqNat @ ( s @ Z ) @ z ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
~ ( leqNat @ ( s @ X0 ) @ z ),
inference(cnf,[status(esa)],[axiom_007]) ).
thf(axiom_015,axiom,
! [Y: $i,Y2: $i,Xs: $i] :
( ( ord @ ( cons @ Y @ ( cons @ Y2 @ Xs ) ) )
<=> ( ( leqNat @ Y @ Y2 )
& ( ord @ ( cons @ Y2 @ Xs ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leqNat @ X0 @ X1 )
| ~ ( ord @ ( cons @ X0 @ ( cons @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[axiom_015]) ).
thf(axiom_009,axiom,
! [Y: $i] :
( ( merge @ nil @ Y )
= Y ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( merge @ nil @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_009]) ).
thf(goal_016,conjecture,
? [Xs: $i,Ys: $i] :
~ ( ( ord @ Xs )
=> ( ~ ( ord @ Ys )
=> ( ord @ ( merge @ Xs @ Ys ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [Xs: $i,Ys: $i] :
~ ( ( ord @ Xs )
=> ( ~ ( ord @ Ys )
=> ( ord @ ( merge @ Xs @ Ys ) ) ) ),
inference('cnf.neg',[status(esa)],[goal_016]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ~ ( ord @ X0 )
| ( ord @ ( merge @ X0 @ X1 ) )
| ( ord @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] :
( ~ ( ord @ nil )
| ( ord @ X0 )
| ( ord @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl18]) ).
thf(axiom_013,axiom,
ord @ nil ).
thf(zip_derived_cl13,plain,
ord @ nil,
inference(cnf,[status(esa)],[axiom_013]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ( ord @ X0 )
| ( ord @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl13]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] : ( ord @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i] : ( leqNat @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl64]) ).
thf(zip_derived_cl66,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWX200+1 : TPTP v9.3.0. Released v9.3.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.R6dhu1g9QJ true
% 0.18/0.35 % Computer : n001.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Tue May 5 11:16:03 EDT 2026
% 0.18/0.35 % CPUTime :
% 0.18/0.35 % Running portfolio for 300 s
% 0.18/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.36 % Number of cores: 8
% 0.22/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % Solved by fo/fo6_bce.sh.
% 0.57/0.75 % BCE start: 19
% 0.57/0.75 % BCE eliminated: 0
% 0.57/0.75 % PE start: 19
% 0.57/0.75 logic: eq
% 0.57/0.75 % PE eliminated: 0
% 0.57/0.75 % done 15 iterations in 0.016s
% 0.57/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.75 % SZS output start Refutation
% See solution above
% 0.57/0.75
% 0.57/0.75
% 0.57/0.75 % Terminating...
% 0.62/0.86 % Runner terminated.
% 0.62/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------