%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO010^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Kk4dw9EWkm true
% Computer : n018.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 05:06:12 PM UTC 2025
% Result : Theorem 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 10 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 109 ( 9 ~; 1 |; 6 &; 68 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% ( 9 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 46 ( 30 ^; 16 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_type,type,
p: ( $i > $i ) > $o ).
thf(leibeq_type,type,
leibeq: $i > $i > $o ).
thf(f_type,type,
f: $i > $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(leibeq,axiom,
( leibeq
= ( ^ [U: $i,V: $i] :
! [Q: $i > $o] :
( ( Q @ U )
=> ( Q @ V ) ) ) ) ).
thf('0',plain,
( leibeq
= ( ^ [U: $i,V: $i] :
! [Q: $i > $o] :
( ( Q @ U )
=> ( Q @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[leibeq]) ).
thf('1',plain,
( leibeq
= ( ^ [V_1: $i,V_2: $i] :
! [X4: $i > $o] :
( ( X4 @ V_1 )
=> ( X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
( ( ! [X: $i] : ( leibeq @ ( f @ X ) @ X )
& ( p
@ ^ [X: $i] : X ) )
=> ( p
@ ^ [X: $i] : ( f @ X ) ) ) ).
thf(zf_stmt_0,conjecture,
( ( ( p
@ ^ [V_1: $i] : V_1 )
& ! [X4: $i,X6: $i > $o] :
( ( X6 @ ( f @ X4 ) )
=> ( X6 @ X4 ) ) )
=> ( p
@ ^ [V_2: $i] : ( f @ V_2 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ( ( p
@ ^ [V_1: $i] : V_1 )
& ! [X4: $i,X6: $i > $o] :
( ( X6 @ ( f @ X4 ) )
=> ( X6 @ X4 ) ) )
=> ( p
@ ^ [V_2: $i] : ( f @ V_2 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( p
@ ^ [Y0: $i] : Y0 )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( f @ Y0 ) )
=> ( Y1 @ Y0 ) ) ) ) )
=> ( p
@ ^ [Y0: $i] : ( f @ Y0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ( ( p
@ ^ [Y0: $i] : Y0 )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( f @ Y0 ) )
=> ( Y1 @ Y0 ) ) ) ) )
=> ( p @ f ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( ( p
@ ^ [Y0: $i] : Y0 )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( f @ Y0 ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
( p
@ ^ [Y0: $i] : Y0 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl3,plain,
~ ( p @ f ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl9,plain,
( ( ^ [Y0: $i] : Y0 )
!= ( ^ [Y0: $i] : ( f @ Y0 ) ) ),
inference(ext_sup,[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
( ( ^ [Y0: $i] : Y0 )
!= f ),
inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
( '#sk1'
!= ( f @ '#sk1' ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( f @ Y0 ) )
=> ( Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( f @ X2 ) )
=> ( Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
! [X2: $i,X4: $i > $o] :
( ( X4 @ ( f @ X2 ) )
=> ( X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
! [X2: $i,X4: $i > $o] :
( ~ ( X4 @ ( f @ X2 ) )
| ( X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl23,plain,
! [X0: $i] :
( ^ [Y0: $i] :
( Y0
= ( f @ X0 ) )
@ X0 ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( X0
= ( f @ X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl34,plain,
! [X0: $i] :
( X0
= ( f @ X0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl56,plain,
'#sk1' != '#sk1',
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl34]) ).
thf(zip_derived_cl57,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYO010^1 : TPTP v9.2.0. Released v3.7.0.
% 0.08/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Kk4dw9EWkm true
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 18:07:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % 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
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.77 % Solved by lams/35_full_unif4.sh.
% 0.59/0.77 % done 5 iterations in 0.018s
% 0.59/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.77 % SZS output start Refutation
% See solution above
% 0.59/0.77
% 0.59/0.77
% 0.59/0.77 % Terminating...
% 0.67/0.86 % Runner terminated.
% 0.67/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------