%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP145^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DVaY9M1vxI 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 : Thu Oct 2 04:38:58 PM UTC 2025
% Result : Theorem 122.64s 16.05s
% Output : Refutation 122.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 7 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 322 ( 7 ~; 4 |; 0 &; 279 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 8 con; 0-2 aty)
% ( 15 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 49 ( 15 ^; 34 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(produc410756839_state_type,type,
produc410756839_state: $tType ).
thf(produc2041926651_state_type,type,
produc2041926651_state: $tType ).
thf(list_com_type,type,
list_com: $tType ).
thf(com_type,type,
com: $tType ).
thf(state_type,type,
state: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(set_Pr1165141447_state_type,type,
set_Pr1165141447_state: $tType ).
thf(zero_zero_nat_type,type,
zero_zero_nat: nat ).
thf(c_type,type,
c: com ).
thf(produc1909270103_state_type,type,
produc1909270103_state: produc2041926651_state > produc2041926651_state > produc410756839_state ).
thf(nil_com_type,type,
nil_com: list_com ).
thf(member1069318160_state_type,type,
member1069318160_state: produc410756839_state > set_Pr1165141447_state > $o ).
thf(n_type,type,
n: nat ).
thf(pHoare259243666_exec1_type,type,
pHoare259243666_exec1: set_Pr1165141447_state ).
thf(f_type,type,
f: nat > produc2041926651_state ).
thf(produc1204172211_state_type,type,
produc1204172211_state: list_com > state > produc2041926651_state ).
thf(suc_type,type,
suc: nat > nat ).
thf(s_type,type,
s: state ).
thf(transi1302705790_state_type,type,
transi1302705790_state: set_Pr1165141447_state > set_Pr1165141447_state ).
thf(transi1726587420_state_type,type,
transi1726587420_state: set_Pr1165141447_state > set_Pr1165141447_state ).
thf(cons_com_type,type,
cons_com: com > list_com > list_com ).
thf(conj_4,conjecture,
member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( f @ ( suc @ n ) ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( f @ ( suc @ n ) ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ),
inference('cnf.neg',[status(esa)],[conj_4]) ).
thf(zip_derived_cl257,plain,
~ ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( f @ ( suc @ n ) ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(conj_1,axiom,
( ( f @ zero_zero_nat )
= ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) ) ).
thf(zip_derived_cl254,plain,
( ( f @ zero_zero_nat )
= ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(zip_derived_cl262,plain,
~ ( member1069318160_state @ ( produc1909270103_state @ ( f @ zero_zero_nat ) @ ( f @ ( suc @ n ) ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl254]) ).
thf(conj_3,axiom,
member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( f @ n ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ).
thf(zip_derived_cl256,plain,
member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( f @ n ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ),
inference(cnf,[status(esa)],[conj_3]) ).
thf(zip_derived_cl254_001,plain,
( ( f @ zero_zero_nat )
= ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(zip_derived_cl263,plain,
member1069318160_state @ ( produc1909270103_state @ ( f @ zero_zero_nat ) @ ( f @ n ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl254]) ).
thf(conj_2,axiom,
! [I2: nat] : ( member1069318160_state @ ( produc1909270103_state @ ( f @ I2 ) @ ( f @ ( suc @ I2 ) ) ) @ ( transi1726587420_state @ pHoare259243666_exec1 ) ) ).
thf(zip_derived_cl255,plain,
( !!
@ ^ [Y0: nat] : ( member1069318160_state @ ( produc1909270103_state @ ( f @ Y0 ) @ ( f @ ( suc @ Y0 ) ) ) @ ( transi1726587420_state @ pHoare259243666_exec1 ) ) ),
inference(cnf,[status(esa)],[conj_2]) ).
thf(zip_derived_cl291,plain,
! [X2: nat] : ( member1069318160_state @ ( produc1909270103_state @ ( f @ X2 ) @ ( f @ ( suc @ X2 ) ) ) @ ( transi1726587420_state @ pHoare259243666_exec1 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl255]) ).
thf(fact_9_trancl__rtrancl__absorb,axiom,
! [R2: set_Pr1165141447_state] :
( ( transi1302705790_state @ ( transi1726587420_state @ R2 ) )
= ( transi1302705790_state @ R2 ) ) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: set_Pr1165141447_state] :
( ( transi1302705790_state @ ( transi1726587420_state @ Y0 ) )
= ( transi1302705790_state @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_9_trancl__rtrancl__absorb]) ).
thf(zip_derived_cl289,plain,
! [X2: set_Pr1165141447_state] :
( ( transi1302705790_state @ ( transi1726587420_state @ X2 ) )
= ( transi1302705790_state @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl290,plain,
! [X2: set_Pr1165141447_state] :
( ( transi1302705790_state @ ( transi1726587420_state @ X2 ) )
= ( transi1302705790_state @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl289]) ).
thf(fact_53_rtrancl__trans,axiom,
! [X: produc2041926651_state,Y: produc2041926651_state,R: set_Pr1165141447_state,Z2: produc2041926651_state] :
( ( member1069318160_state @ ( produc1909270103_state @ X @ Y ) @ ( transi1302705790_state @ R ) )
=> ( ( member1069318160_state @ ( produc1909270103_state @ Y @ Z2 ) @ ( transi1302705790_state @ R ) )
=> ( member1069318160_state @ ( produc1909270103_state @ X @ Z2 ) @ ( transi1302705790_state @ R ) ) ) ) ).
thf(zip_derived_cl48,plain,
( !!
@ ^ [Y0: produc2041926651_state] :
( !!
@ ^ [Y1: produc2041926651_state] :
( !!
@ ^ [Y2: set_Pr1165141447_state] :
( !!
@ ^ [Y3: produc2041926651_state] :
( ( member1069318160_state @ ( produc1909270103_state @ Y0 @ Y1 ) @ ( transi1302705790_state @ Y2 ) )
=> ( ( member1069318160_state @ ( produc1909270103_state @ Y1 @ Y3 ) @ ( transi1302705790_state @ Y2 ) )
=> ( member1069318160_state @ ( produc1909270103_state @ Y0 @ Y3 ) @ ( transi1302705790_state @ Y2 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_53_rtrancl__trans]) ).
thf(zip_derived_cl906,plain,
! [X2: produc2041926651_state] :
( !!
@ ^ [Y0: produc2041926651_state] :
( !!
@ ^ [Y1: set_Pr1165141447_state] :
( !!
@ ^ [Y2: produc2041926651_state] :
( ( member1069318160_state @ ( produc1909270103_state @ X2 @ Y0 ) @ ( transi1302705790_state @ Y1 ) )
=> ( ( member1069318160_state @ ( produc1909270103_state @ Y0 @ Y2 ) @ ( transi1302705790_state @ Y1 ) )
=> ( member1069318160_state @ ( produc1909270103_state @ X2 @ Y2 ) @ ( transi1302705790_state @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl907,plain,
! [X2: produc2041926651_state,X4: produc2041926651_state] :
( !!
@ ^ [Y0: set_Pr1165141447_state] :
( !!
@ ^ [Y1: produc2041926651_state] :
( ( member1069318160_state @ ( produc1909270103_state @ X2 @ X4 ) @ ( transi1302705790_state @ Y0 ) )
=> ( ( member1069318160_state @ ( produc1909270103_state @ X4 @ Y1 ) @ ( transi1302705790_state @ Y0 ) )
=> ( member1069318160_state @ ( produc1909270103_state @ X2 @ Y1 ) @ ( transi1302705790_state @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl906]) ).
thf(zip_derived_cl908,plain,
! [X2: produc2041926651_state,X4: produc2041926651_state,X6: set_Pr1165141447_state] :
( !!
@ ^ [Y0: produc2041926651_state] :
( ( member1069318160_state @ ( produc1909270103_state @ X2 @ X4 ) @ ( transi1302705790_state @ X6 ) )
=> ( ( member1069318160_state @ ( produc1909270103_state @ X4 @ Y0 ) @ ( transi1302705790_state @ X6 ) )
=> ( member1069318160_state @ ( produc1909270103_state @ X2 @ Y0 ) @ ( transi1302705790_state @ X6 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl907]) ).
thf(zip_derived_cl909,plain,
! [X2: produc2041926651_state,X4: produc2041926651_state,X6: set_Pr1165141447_state,X8: produc2041926651_state] :
( ( member1069318160_state @ ( produc1909270103_state @ X2 @ X4 ) @ ( transi1302705790_state @ X6 ) )
=> ( ( member1069318160_state @ ( produc1909270103_state @ X4 @ X8 ) @ ( transi1302705790_state @ X6 ) )
=> ( member1069318160_state @ ( produc1909270103_state @ X2 @ X8 ) @ ( transi1302705790_state @ X6 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl908]) ).
thf(zip_derived_cl910,plain,
! [X2: produc2041926651_state,X4: produc2041926651_state,X6: set_Pr1165141447_state,X8: produc2041926651_state] :
( ~ ( member1069318160_state @ ( produc1909270103_state @ X2 @ X4 ) @ ( transi1302705790_state @ X6 ) )
| ( ( member1069318160_state @ ( produc1909270103_state @ X4 @ X8 ) @ ( transi1302705790_state @ X6 ) )
=> ( member1069318160_state @ ( produc1909270103_state @ X2 @ X8 ) @ ( transi1302705790_state @ X6 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl909]) ).
thf(zip_derived_cl911,plain,
! [X2: produc2041926651_state,X4: produc2041926651_state,X6: set_Pr1165141447_state,X8: produc2041926651_state] :
( ~ ( member1069318160_state @ ( produc1909270103_state @ X4 @ X8 ) @ ( transi1302705790_state @ X6 ) )
| ( member1069318160_state @ ( produc1909270103_state @ X2 @ X8 ) @ ( transi1302705790_state @ X6 ) )
| ~ ( member1069318160_state @ ( produc1909270103_state @ X2 @ X4 ) @ ( transi1302705790_state @ X6 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl910]) ).
thf(fact_33_r__into__rtrancl,axiom,
! [P2: produc410756839_state,R: set_Pr1165141447_state] :
( ( member1069318160_state @ P2 @ R )
=> ( member1069318160_state @ P2 @ ( transi1302705790_state @ R ) ) ) ).
thf(zip_derived_cl28,plain,
( !!
@ ^ [Y0: produc410756839_state] :
( !!
@ ^ [Y1: set_Pr1165141447_state] :
( ( member1069318160_state @ Y0 @ Y1 )
=> ( member1069318160_state @ Y0 @ ( transi1302705790_state @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_33_r__into__rtrancl]) ).
thf(zip_derived_cl320,plain,
! [X2: produc410756839_state] :
( !!
@ ^ [Y0: set_Pr1165141447_state] :
( ( member1069318160_state @ X2 @ Y0 )
=> ( member1069318160_state @ X2 @ ( transi1302705790_state @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl321,plain,
! [X2: produc410756839_state,X4: set_Pr1165141447_state] :
( ( member1069318160_state @ X2 @ X4 )
=> ( member1069318160_state @ X2 @ ( transi1302705790_state @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl320]) ).
thf(zip_derived_cl322,plain,
! [X2: produc410756839_state,X4: set_Pr1165141447_state] :
( ~ ( member1069318160_state @ X2 @ X4 )
| ( member1069318160_state @ X2 @ ( transi1302705790_state @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl321]) ).
thf(zip_derived_cl9827,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl262,zip_derived_cl263,zip_derived_cl291,zip_derived_cl290,zip_derived_cl911,zip_derived_cl322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP145^1 : TPTP v9.2.0. Released v7.5.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DVaY9M1vxI true
% 0.13/0.34 % Computer : n001.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 15:32:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % 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
% 0.55/0.67 % Total configuration time : 828
% 0.55/0.67 % Estimated wc time : 1656
% 0.55/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.72 % /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
% 0.55/0.75 % /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
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.81 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 122.64/16.05 % Solved by lams/30_b.l.sh.
% 122.64/16.05 % done 231 iterations in 15.183s
% 122.64/16.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 122.64/16.05 % SZS output start Refutation
% See solution above
% 122.64/16.05
% 122.64/16.05
% 122.64/16.05 % Terminating...
% 123.23/16.10 % Runner terminated.
% 123.23/16.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------