%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM645^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PCNExDWorO true
% Computer : n008.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 04:47:47 PM UTC 2025
% Result : Theorem 26.01s 3.94s
% Output : Refutation 26.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 13 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 109 ( 7 ~; 0 |; 0 &; 77 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 5 con; 0-2 aty)
% ( 13 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 26 ( 13 ^; 13 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(set_type,type,
set: $tType ).
thf(y_type,type,
y: nat ).
thf(setof_type,type,
setof: ( nat > $o ) > set ).
thf(n_1_type,type,
n_1: nat ).
thf(esti_type,type,
esti: nat > set > $o ).
thf(pl_type,type,
pl: nat > nat > nat ).
thf(suc_type,type,
suc: nat > nat ).
thf(x_type,type,
x: nat ).
thf(estie,axiom,
! [Xp: nat > $o,Xs: nat] :
( ( esti @ Xs @ ( setof @ Xp ) )
=> ( Xp @ Xs ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: nat > $o] :
( !!
@ ^ [Y1: nat] :
( ( esti @ Y1 @ ( setof @ Y0 ) )
=> ( Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[estie]) ).
thf(satz1,axiom,
! [Xx: nat,Xy: nat] :
( ( Xx != Xy )
=> ( ( suc @ Xx )
!= ( suc @ Xy ) ) ) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( Y0 != Y1 )
=> ( ( suc @ Y0 )
!= ( suc @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[satz1]) ).
thf(satz4b,axiom,
! [Xx: nat,Xy: nat] :
( ( pl @ Xx @ ( suc @ Xy ) )
= ( suc @ ( pl @ Xx @ Xy ) ) ) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( pl @ Y0 @ ( suc @ Y1 ) )
= ( suc @ ( pl @ Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[satz4b]) ).
thf(satz7,conjecture,
( y
!= ( pl @ x @ y ) ) ).
thf(zf_stmt_0,negated_conjecture,
( y
= ( pl @ x @ y ) ),
inference('cnf.neg',[status(esa)],[satz7]) ).
thf(zip_derived_cl7,plain,
( y
= ( pl @ x @ y ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax3,axiom,
! [Xx: nat] :
( ( suc @ Xx )
!= n_1 ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: nat] :
( ( suc @ Y0 )
!= n_1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(estii,axiom,
! [Xp: nat > $o,Xs: nat] :
( ( Xp @ Xs )
=> ( esti @ Xs @ ( setof @ Xp ) ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: nat > $o] :
( !!
@ ^ [Y1: nat] :
( ( Y0 @ Y1 )
=> ( esti @ Y1 @ ( setof @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[estii]) ).
thf(satz4a,axiom,
! [Xx: nat] :
( ( pl @ Xx @ n_1 )
= ( suc @ Xx ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: nat] :
( ( pl @ Y0 @ n_1 )
= ( suc @ Y0 ) ) ),
inference(cnf,[status(esa)],[satz4a]) ).
thf(ax5,axiom,
! [Xs: set] :
( ( esti @ n_1 @ Xs )
=> ( ! [Xx: nat] :
( ( esti @ Xx @ Xs )
=> ( esti @ ( suc @ Xx ) @ Xs ) )
=> ! [Xx: nat] : ( esti @ Xx @ Xs ) ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: set] :
( ( esti @ n_1 @ Y0 )
=> ( ( !!
@ ^ [Y1: nat] :
( ( esti @ Y1 @ Y0 )
=> ( esti @ ( suc @ Y1 ) @ Y0 ) ) )
=> ( !!
@ ^ [Y1: nat] : ( esti @ Y1 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl3984,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl0,zip_derived_cl5,zip_derived_cl6,zip_derived_cl7,zip_derived_cl3,zip_derived_cl2,zip_derived_cl4,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM645^1 : TPTP v9.2.0. Released v3.7.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PCNExDWorO true
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:28:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.57/0.70 % Total configuration time : 828
% 0.57/0.70 % Estimated wc time : 1656
% 0.57/0.70 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 26.01/3.94 % Solved by lams/15_e_short1.sh.
% 26.01/3.94 % done 149 iterations in 3.141s
% 26.01/3.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 26.01/3.94 % SZS output start Refutation
% See solution above
% 26.01/3.94
% 26.01/3.94
% 26.01/3.94 % Terminating...
% 26.73/3.98 % Runner terminated.
% 26.73/4.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------