%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET557^1 : TPTP v9.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CAvMWR3979 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 04:52:14 PM UTC 2025
% Result : Theorem 0.37s 0.82s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 11 equ; 5 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 52 ( 7 ~; 0 |; 0 &; 38 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 2 usr; 4 con; 0-2 aty)
% ( 2 !!; 5 ??; 0 @@+; 0 @@-)
% Number of variables : 27 ( 11 ^; 12 !; 4 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1_type',type,
'#sk1': $i > $i > $o ).
thf('#sk11_type',type,
'#sk11': ( $i > $o ) > $i ).
thf(surjectiveCantorThm,conjecture,
~ ? [G: $i > $i > $o] :
! [F: $i > $o] :
? [X: $i] :
( ( G @ X )
= F ) ).
thf(zf_stmt_0,negated_conjecture,
? [G: $i > $i > $o] :
! [F: $i > $o] :
? [X: $i] :
( ( G @ X )
= F ),
inference('cnf.neg',[status(esa)],[surjectiveCantorThm]) ).
thf(zip_derived_cl0,plain,
( ??
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
= Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X2: $i > $o] :
( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
= X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i > $o] :
( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
= ( ^ [Y1: $i] : ( (~) @ ( X0 @ Y1 ) ) ) ) ),
inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl12,plain,
! [X0: $i > $o] :
( ( '#sk1' @ ( '#sk11' @ X0 ) )
= ( ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl13,plain,
! [X0: $i > $o] :
( ( '#sk1' @ ( '#sk11' @ X0 ) )
= ( ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl25,plain,
! [X0: $i > $o,X1: $i] :
( ( '#sk1' @ ( '#sk11' @ X0 ) @ X1 )
= ( ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) )
@ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl26,plain,
! [X0: $i > $o,X1: $i] :
( ( '#sk1' @ ( '#sk11' @ X0 ) @ X1 )
= ( (~) @ ( X0 @ X1 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl27,plain,
! [X0: $i > $o,X1: $i] :
( ( '#sk1' @ ( '#sk11' @ X0 ) @ X1 )
!= ( X0 @ X1 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl52,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET557^1 : TPTP v9.2.0. Released v3.6.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CAvMWR3979 true
% 0.14/0.35 % Computer : n001.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 13:22:23 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
% 0.35/0.67 % Total configuration time : 828
% 0.35/0.67 % Estimated wc time : 1656
% 0.35/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.37/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.37/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.37/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.37/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.37/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.37/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.37/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.37/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.37/0.82 % Solved by lams/30_sp5.sh.
% 0.37/0.82 % done 8 iterations in 0.030s
% 0.37/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.37/0.82 % SZS output start Refutation
% See solution above
% 0.37/0.82
% 0.37/0.82
% 0.37/0.82 % Terminating...
% 0.37/0.91 % Runner terminated.
% 0.37/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------