%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN025^1 : TPTP v9.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MSf3ChvfCI 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 04:48:51 PM UTC 2025
% Result : Theorem 0.57s 0.86s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 1
% Syntax : Number of formulae : 43 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 120 ( 77 equ; 6 cnn)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 520 ( 66 ~; 41 |; 18 &; 347 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 3 usr; 6 con; 0-3 aty)
% ( 27 !!; 2 ??; 0 @@+; 0 @@-)
% Number of variables : 115 ( 33 ^; 80 !; 2 ?; 115 :)
% Comments :
%------------------------------------------------------------------------------
thf(zero_type,type,
zero: $i ).
thf(ite_type,type,
ite: $o > $i > $i > $i ).
thf(s_type,type,
s: $i > $i ).
thf(n9,conjecture,
( ( ! [X: $i] :
( ( s @ X )
!= X )
& ! [X100: $o,U: $i,V: $i] :
( ~ X100
=> ( ( ite @ X100 @ U @ V )
= V ) )
& ! [X100: $o,U: $i,V: $i] :
( X100
=> ( ( ite @ X100 @ U @ V )
= U ) ) )
=> ? [H: $i > $i] :
( ( ( H @ zero )
= ( s @ zero ) )
& ( ( H @ ( s @ zero ) )
= zero )
& ( ( H @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [X: $i] :
( ( s @ X )
!= X )
& ! [X100: $o,U: $i,V: $i] :
( ~ X100
=> ( ( ite @ X100 @ U @ V )
= V ) )
& ! [X100: $o,U: $i,V: $i] :
( X100
=> ( ( ite @ X100 @ U @ V )
= U ) ) )
=> ? [H: $i > $i] :
( ( ( H @ zero )
= ( s @ zero ) )
& ( ( H @ ( s @ zero ) )
= zero )
& ( ( H @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) ),
inference('cnf.neg',[status(esa)],[n9]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( ( s @ Y0 )
!= Y0 ) )
& ( !!
@ ^ [Y0: $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ Y0 )
=> ( ( ite @ Y0 @ Y1 @ Y2 )
= Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( Y0
=> ( ( ite @ Y0 @ Y1 @ Y2 )
= Y1 ) ) ) ) ) )
=> ( ??
@ ^ [Y0: $i > $i] :
( ( ( Y0 @ zero )
= ( s @ zero ) )
& ( ( Y0 @ ( s @ zero ) )
= zero )
& ( ( Y0 @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
( ( !!
@ ^ [Y0: $i] :
( ( s @ Y0 )
!= Y0 ) )
& ( !!
@ ^ [Y0: $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ Y0 )
=> ( ( ite @ Y0 @ Y1 @ Y2 )
= Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( Y0
=> ( ( ite @ Y0 @ Y1 @ Y2 )
= Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ Y0 )
=> ( ( ite @ Y0 @ Y1 @ Y2 )
= Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl8,plain,
! [X2: $o] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ X2 )
=> ( ( ite @ X2 @ Y0 @ Y1 )
= Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl12,plain,
! [X2: $o,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ X2 )
=> ( ( ite @ X2 @ X4 @ Y0 )
= Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
! [X2: $o,X4: $i,X6: $i] :
( ( (~) @ X2 )
=> ( ( ite @ X2 @ X4 @ X6 )
= X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl17,plain,
! [X2: $o,X4: $i,X6: $i] :
( X2
| ( ( ite @ X2 @ X4 @ X6 )
= X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl19,plain,
! [X2: $o,X4: $i,X6: $i] :
( X2
| ( ( ite @ X2 @ X4 @ X6 )
= X6 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( Y0
=> ( ( ite @ Y0 @ Y1 @ Y2 )
= Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl9,plain,
! [X2: $o] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( X2
=> ( ( ite @ X2 @ Y0 @ Y1 )
= Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
! [X2: $o,X4: $i] :
( !!
@ ^ [Y0: $i] :
( X2
=> ( ( ite @ X2 @ X4 @ Y0 )
= X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl16,plain,
! [X2: $o,X4: $i,X6: $i] :
( X2
=> ( ( ite @ X2 @ X4 @ X6 )
= X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl18,plain,
! [X2: $o,X4: $i,X6: $i] :
( ~ X2
| ( ( ite @ X2 @ X4 @ X6 )
= X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl20,plain,
! [X2: $o,X4: $i,X6: $i] :
( ~ X2
| ( ( ite @ X2 @ X4 @ X6 )
= X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20_001,plain,
! [X2: $o,X4: $i,X6: $i] :
( ~ X2
| ( ( ite @ X2 @ X4 @ X6 )
= X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( ite @ $true @ X1 @ X0 )
= X1 ),
inference('ho.refine',[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl20_002,plain,
! [X2: $o,X4: $i,X6: $i] :
( ~ X2
| ( ( ite @ X2 @ X4 @ X6 )
= X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl2,plain,
~ ( ??
@ ^ [Y0: $i > $i] :
( ( ( Y0 @ zero )
= ( s @ zero ) )
& ( ( Y0 @ ( s @ zero ) )
= zero )
& ( ( Y0 @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
! [X2: $i > $i] :
~ ( ( ( X2 @ zero )
= ( s @ zero ) )
& ( ( X2 @ ( s @ zero ) )
= zero )
& ( ( X2 @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl10,plain,
! [X2: $i > $i] :
( ( ( X2 @ zero )
!= ( s @ zero ) )
| ( ( X2 @ ( s @ zero ) )
!= zero )
| ( ( X2 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl14,plain,
! [X2: $i > $i] :
( ( ( X2 @ zero )
!= ( s @ zero ) )
| ( ( X2 @ ( s @ zero ) )
!= zero )
| ( ( X2 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl99,plain,
! [X0: $i > $i,X1: $i > $i,X2: $i > $o] :
( ( ( X0 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) )
| ~ ( X2 @ ( s @ ( s @ zero ) ) )
| ( ( ^ [Y0: $i] : ( ite @ ( X2 @ Y0 ) @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) )
@ ( s @ zero ) )
!= zero )
| ( ( ^ [Y0: $i] : ( ite @ ( X2 @ Y0 ) @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) )
@ zero )
!= ( s @ zero ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl14]) ).
thf(zip_derived_cl112,plain,
! [X0: $i > $i,X1: $i > $i,X2: $i > $o] :
( ( ( X0 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) )
| ~ ( X2 @ ( s @ ( s @ zero ) ) )
| ( ( ite @ ( X2 @ ( s @ zero ) ) @ ( X0 @ ( s @ zero ) ) @ ( X1 @ ( s @ zero ) ) )
!= zero )
| ( ( ite @ ( X2 @ zero ) @ ( X0 @ zero ) @ ( X1 @ zero ) )
!= ( s @ zero ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl128,plain,
! [X0: $i,X1: $i > $i,X2: $i > $o] :
( ( ( ite @ ( X2 @ ( s @ zero ) ) @ X0 @ ( X1 @ ( s @ zero ) ) )
!= zero )
| ( ( ite @ ( X2 @ zero ) @ ( ite @ $true @ X0 @ zero ) @ ( X1 @ zero ) )
!= ( s @ zero ) )
| ~ ( X2 @ ( s @ ( s @ zero ) ) )
| ( ( ite @ $true @ X0 @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl112]) ).
thf(zip_derived_cl23_003,plain,
! [X0: $i,X1: $i] :
( ( ite @ $true @ X1 @ X0 )
= X1 ),
inference('ho.refine',[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl23_004,plain,
! [X0: $i,X1: $i] :
( ( ite @ $true @ X1 @ X0 )
= X1 ),
inference('ho.refine',[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl179,plain,
! [X0: $i,X1: $i > $i,X2: $i > $o] :
( ( ( ite @ ( X2 @ ( s @ zero ) ) @ X0 @ ( X1 @ ( s @ zero ) ) )
!= zero )
| ( ( ite @ ( X2 @ zero ) @ X0 @ ( X1 @ zero ) )
!= ( s @ zero ) )
| ~ ( X2 @ ( s @ ( s @ zero ) ) )
| ( X0
!= ( s @ zero ) ) ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl23,zip_derived_cl23]) ).
thf(zip_derived_cl180,plain,
! [X1: $i > $i,X2: $i > $o] :
( ~ ( X2 @ ( s @ ( s @ zero ) ) )
| ( ( ite @ ( X2 @ zero ) @ ( s @ zero ) @ ( X1 @ zero ) )
!= ( s @ zero ) )
| ( ( ite @ ( X2 @ ( s @ zero ) ) @ ( s @ zero ) @ ( X1 @ ( s @ zero ) ) )
!= zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl179]) ).
thf(zip_derived_cl215,plain,
! [X0: $i > $i,X1: $i > $o] :
( ( ( s @ zero )
!= ( s @ zero ) )
| ~ ( X1 @ zero )
| ( ( ite @ ( X1 @ ( s @ zero ) ) @ ( s @ zero ) @ ( X0 @ ( s @ zero ) ) )
!= zero )
| ~ ( X1 @ ( s @ ( s @ zero ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl180]) ).
thf(zip_derived_cl244,plain,
! [X0: $i > $i,X1: $i > $o] :
( ~ ( X1 @ ( s @ ( s @ zero ) ) )
| ( ( ite @ ( X1 @ ( s @ zero ) ) @ ( s @ zero ) @ ( X0 @ ( s @ zero ) ) )
!= zero )
| ~ ( X1 @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl215]) ).
thf(zip_derived_cl245,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( X1 @ ( s @ ( s @ zero ) ) )
| ( ( ite @ ( X1 @ ( s @ zero ) ) @ ( s @ zero )
@ ( ^ [Y0: $i] : X0
@ ( s @ zero ) ) )
!= zero )
| ~ ( X1 @ zero ) ),
inference(prune_arg_fun,[status(thm)],[zip_derived_cl244]) ).
thf(zip_derived_cl246,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( X1 @ ( s @ ( s @ zero ) ) )
| ( ( ite @ ( X1 @ ( s @ zero ) ) @ ( s @ zero ) @ X0 )
!= zero )
| ~ ( X1 @ zero ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl245]) ).
thf(zip_derived_cl404,plain,
! [X0: $i,X1: $i > $o] :
( ( X0 != zero )
| ( X1 @ ( s @ zero ) )
| ~ ( X1 @ zero )
| ~ ( X1 @ ( s @ ( s @ zero ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl246]) ).
thf(zip_derived_cl412,plain,
! [X1: $i > $o] :
( ~ ( X1 @ ( s @ ( s @ zero ) ) )
| ~ ( X1 @ zero )
| ( X1 @ ( s @ zero ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl404]) ).
thf(zip_derived_cl437,plain,
( ^ [Y0: $i] :
( ( Y0 = zero )
| ( Y0
= ( s @ ( s @ zero ) ) ) )
@ ( s @ zero ) ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl412]) ).
thf(zip_derived_cl476,plain,
( ( ( s @ zero )
= zero )
| ( ( s @ zero )
= ( s @ ( s @ zero ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl437]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] :
( ( s @ Y0 )
!= Y0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( ( s @ X2 )
!= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( ( s @ X2 )
!= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl479,plain,
( $false
| $false ),
inference(inner_simplify_reflect,[status(thm)],[zip_derived_cl476,zip_derived_cl11]) ).
thf(zip_derived_cl480,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl479]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN025^1 : TPTP v9.2.0. Released v6.4.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MSf3ChvfCI true
% 0.13/0.34 % Computer : n016.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 12:12:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.55/0.65 % Total configuration time : 828
% 0.55/0.65 % Estimated wc time : 1656
% 0.55/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.55/0.79 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 0.57/0.86 % Solved by lams/35_full_unif4.sh.
% 0.57/0.86 % done 47 iterations in 0.143s
% 0.57/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.86 % SZS output start Refutation
% See solution above
% 0.57/0.86
% 0.57/0.86
% 0.57/0.86 % Terminating...
% 0.66/0.96 % Runner terminated.
% 0.66/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------