%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN025^2 : TPTP v9.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vlDS0qlOOp true
% Computer : n028.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 04:48:51 PM UTC 2025
% Result : Theorem 0.59s 0.79s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 22 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 52 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 167 ( 22 ~; 17 |; 10 &; 112 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 34 ( 0 ^; 32 !; 2 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(zero_type,type,
zero: $i ).
thf(ite_type,type,
ite: $o > $i > $i > $i ).
thf(h_type,type,
h: $i > $i ).
thf(s_type,type,
s: $i > $i ).
thf(n10,conjecture,
( ( ! [X100: $o,U: $i,V: $i] :
( X100
=> ( ( ite @ X100 @ U @ V )
= U ) )
& ! [X100: $o,U: $i,V: $i] :
( ~ X100
=> ( ( ite @ X100 @ U @ V )
= V ) )
& ! [X: $i] :
( ( s @ X )
!= X )
& ! [X: $i] :
( ( h @ X )
= ( ite
@ ( X
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) )
=> ? [H: $i > $i] :
( ( ( H @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) )
& ( ( H @ ( s @ zero ) )
= zero )
& ( ( H @ zero )
= ( s @ zero ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [X100: $o,U: $i,V: $i] :
( X100
=> ( ( ite @ X100 @ U @ V )
= U ) )
& ! [X100: $o,U: $i,V: $i] :
( ~ X100
=> ( ( ite @ X100 @ U @ V )
= V ) )
& ! [X: $i] :
( ( s @ X )
!= X )
& ! [X: $i] :
( ( h @ X )
= ( ite
@ ( X
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) )
=> ? [H: $i > $i] :
( ( ( H @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) )
& ( ( H @ ( s @ zero ) )
= zero )
& ( ( H @ zero )
= ( s @ zero ) ) ) ),
inference('cnf.neg',[status(esa)],[n10]) ).
thf(zip_derived_cl3,plain,
! [X7: $i] :
( ( h @ X7 )
= ( ite
@ ( X7
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X3: $o,X4: $i,X5: $i] :
( X3
| ( ( ite @ X3 @ X5 @ X4 )
= X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( ( h @ X0 )
= ( s @ zero ) )
| ( X0
= ( s @ zero ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( ( h @ X0 )
= ( s @ zero ) )
| ( X0
= ( s @ zero ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11_001,plain,
! [X0: $i] :
( ( ( h @ X0 )
= ( s @ zero ) )
| ( X0
= ( s @ zero ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl4,plain,
! [X8: $i > $i] :
( ( ( X8 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) )
| ( ( X8 @ ( s @ zero ) )
!= zero )
| ( ( X8 @ zero )
!= ( s @ zero ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21,plain,
( ( ( s @ zero )
!= ( s @ zero ) )
| ( ( s @ ( s @ zero ) )
= ( s @ zero ) )
| ( ( h @ zero )
!= ( s @ zero ) )
| ( ( h @ ( s @ zero ) )
!= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl4]) ).
thf(zip_derived_cl3_002,plain,
! [X7: $i] :
( ( h @ X7 )
= ( ite
@ ( X7
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $o,X1: $i,X2: $i] :
( ~ X0
| ( ( ite @ X0 @ X1 @ X2 )
= X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( ( h @ X0 )
= zero )
| ( X0
!= ( s @ zero ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( ( h @ X0 )
= zero )
| ( X0
!= ( s @ zero ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl13,plain,
( ( h @ ( s @ zero ) )
= zero ),
inference(simplify,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl30,plain,
( ( ( s @ zero )
!= ( s @ zero ) )
| ( ( s @ ( s @ zero ) )
= ( s @ zero ) )
| ( ( h @ zero )
!= ( s @ zero ) )
| ( zero != zero ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl13]) ).
thf(zip_derived_cl31,plain,
( ( ( h @ zero )
!= ( s @ zero ) )
| ( ( s @ ( s @ zero ) )
= ( s @ zero ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl2,plain,
! [X6: $i] :
( ( s @ X6 )
!= X6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32,plain,
( ( h @ zero )
!= ( s @ zero ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31,zip_derived_cl2]) ).
thf(zip_derived_cl40,plain,
( ( ( s @ zero )
!= ( s @ zero ) )
| ( zero
= ( s @ zero ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl32]) ).
thf(zip_derived_cl42,plain,
( zero
= ( s @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl2_003,plain,
! [X6: $i] :
( ( s @ X6 )
!= X6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl42,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUN025^2 : TPTP v9.2.0. Released v6.4.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vlDS0qlOOp true
% 0.13/0.34 % Computer : n028.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 12:09:53 EDT 2025
% 0.20/0.35 % CPUTime :
% 0.20/0.35 % Running portfolio for 300 s
% 0.20/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in HO mode
% 0.58/0.68 % Total configuration time : 828
% 0.58/0.68 % Estimated wc time : 1656
% 0.58/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.79 % Solved by lams/40_c_ic.sh.
% 0.59/0.79 % done 10 iterations in 0.013s
% 0.59/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.79 % SZS output start Refutation
% See solution above
% 0.59/0.79
% 0.59/0.79
% 0.59/0.79 % Terminating...
% 0.70/0.90 % Runner terminated.
% 0.70/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------