%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWX186+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9wvKrXfje0 true
% Computer : n003.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 07:08:46 PM UTC 2026
% Result : Theorem 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 19 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 63 ( 10 ~; 3 |; 0 &; 48 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 0 ^; 23 !; 6 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(nil_type,type,
nil: $i ).
thf(drop_type,type,
drop: $i > $i > $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(s_type,type,
s: $i > $i ).
thf(axiom_006,axiom,
! [Z: $i] :
( ( drop @ ( s @ Z ) @ nil )
= nil ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( drop @ ( s @ X0 ) @ nil )
= nil ),
inference(cnf,[status(esa)],[axiom_006]) ).
thf(axiom_007,axiom,
! [Z: $i,X2: $i,X3: $i] :
( ( drop @ ( s @ Z ) @ ( cons @ X2 @ X3 ) )
= ( drop @ Z @ X3 ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( drop @ ( s @ X0 ) @ ( cons @ X2 @ X1 ) )
= ( drop @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_007]) ).
thf(zip_derived_cl5_001,plain,
! [X0: $i] :
( ( drop @ ( s @ X0 ) @ nil )
= nil ),
inference(cnf,[status(esa)],[axiom_006]) ).
thf(goal_009,conjecture,
? [N: $i,Xs: $i,Ys: $i] :
~ ( ( ( drop @ N @ Xs )
= ( drop @ N @ Ys ) )
=> ( Xs = Ys ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [N: $i,Xs: $i,Ys: $i] :
~ ( ( ( drop @ N @ Xs )
= ( drop @ N @ Ys ) )
=> ( Xs = Ys ) ),
inference('cnf.neg',[status(esa)],[goal_009]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( ( drop @ X2 @ X1 )
!= ( drop @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( nil = X0 )
| ( nil
!= ( drop @ ( s @ X1 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl8]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil
= ( cons @ X2 @ X0 ) )
| ( nil
!= ( drop @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl9]) ).
thf(axiom_003,axiom,
! [X: $i,X2: $i] :
( nil
!= ( cons @ X @ X2 ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( nil
!= ( cons @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_003]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( nil
!= ( drop @ X1 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20,zip_derived_cl2]) ).
thf(zip_derived_cl23,plain,
nil != nil,
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl21]) ).
thf(zip_derived_cl25,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWX186+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9wvKrXfje0 true
% 0.16/0.35 % Computer : n003.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Tue May 5 09:38:11 EDT 2026
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.36 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75 % Solved by fo/fo6_bce.sh.
% 0.58/0.75 % BCE start: 9
% 0.58/0.75 % BCE eliminated: 0
% 0.58/0.75 % PE start: 9
% 0.58/0.75 logic: eq
% 0.58/0.75 % PE eliminated: 0
% 0.58/0.75 % done 11 iterations in 0.008s
% 0.58/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.75 % SZS output start Refutation
% See solution above
% 0.58/0.75
% 0.58/0.75
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.75 % Terminating...
% 0.63/0.86 % Runner terminated.
% 0.63/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------