%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU368+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gSGecye0SC true
% Computer : n012.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 04:54:23 PM UTC 2025
% Result : Theorem 17.40s 3.05s
% Output : Refutation 17.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 74 ( 48 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 250 ( 23 ~; 17 |; 8 &; 197 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 2 con; 0-3 aty)
% Number of variables : 61 ( 0 ^; 61 !; 0 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(rel_str_type,type,
rel_str: $i > $o ).
thf(rel_str_of_type,type,
rel_str_of: $i > $i > $i ).
thf(strict_rel_str_type,type,
strict_rel_str: $i > $o ).
thf(v1_partfun1_type,type,
v1_partfun1: $i > $i > $i > $o ).
thf(relation_of2_type,type,
relation_of2: $i > $i > $i > $o ).
thf(inclusion_order_type,type,
inclusion_order: $i > $i ).
thf(sk__186_type,type,
sk__186: $i ).
thf(reflexive_type,type,
reflexive: $i > $o ).
thf(antisymmetric_type,type,
antisymmetric: $i > $o ).
thf(relation_of2_as_subset_type,type,
relation_of2_as_subset: $i > $i > $i > $o ).
thf(transitive_type,type,
transitive: $i > $o ).
thf(inclusion_relation_type,type,
inclusion_relation: $i > $i ).
thf(the_InternalRel_type,type,
the_InternalRel: $i > $i ).
thf(incl_POSet_type,type,
incl_POSet: $i > $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(t1_yellow_1,conjecture,
! [A: $i] :
( ( ( the_InternalRel @ ( incl_POSet @ A ) )
= ( inclusion_order @ A ) )
& ( ( the_carrier @ ( incl_POSet @ A ) )
= A ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( the_InternalRel @ ( incl_POSet @ A ) )
= ( inclusion_order @ A ) )
& ( ( the_carrier @ ( incl_POSet @ A ) )
= A ) ),
inference('cnf.neg',[status(esa)],[t1_yellow_1]) ).
thf(zip_derived_cl639,plain,
( ( ( the_InternalRel @ ( incl_POSet @ sk__186 ) )
!= ( inclusion_order @ sk__186 ) )
| ( ( the_carrier @ ( incl_POSet @ sk__186 ) )
!= sk__186 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(redefinition_k1_yellow_1,axiom,
! [A: $i] :
( ( inclusion_order @ A )
= ( inclusion_relation @ A ) ) ).
thf(zip_derived_cl239,plain,
! [X0: $i] :
( ( inclusion_order @ X0 )
= ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[redefinition_k1_yellow_1]) ).
thf(zip_derived_cl5114,plain,
( ( ( the_InternalRel @ ( incl_POSet @ sk__186 ) )
!= ( inclusion_relation @ sk__186 ) )
| ( ( the_carrier @ ( incl_POSet @ sk__186 ) )
!= sk__186 ) ),
inference(demod,[status(thm)],[zip_derived_cl639,zip_derived_cl239]) ).
thf(dt_k2_yellow_1,axiom,
! [A: $i] :
( ( rel_str @ ( incl_POSet @ A ) )
& ( strict_rel_str @ ( incl_POSet @ A ) ) ) ).
thf(zip_derived_cl129,plain,
! [X0: $i] : ( strict_rel_str @ ( incl_POSet @ X0 ) ),
inference(cnf,[status(esa)],[dt_k2_yellow_1]) ).
thf(abstractness_v1_orders_2,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ( ( strict_rel_str @ A )
=> ( A
= ( rel_str_of @ ( the_carrier @ A ) @ ( the_InternalRel @ A ) ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ~ ( strict_rel_str @ X0 )
| ( X0
= ( rel_str_of @ ( the_carrier @ X0 ) @ ( the_InternalRel @ X0 ) ) )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[abstractness_v1_orders_2]) ).
thf(zip_derived_cl4324,plain,
! [X0: $i] :
( ~ ( rel_str @ ( incl_POSet @ X0 ) )
| ( ( incl_POSet @ X0 )
= ( rel_str_of @ ( the_carrier @ ( incl_POSet @ X0 ) ) @ ( the_InternalRel @ ( incl_POSet @ X0 ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl129,zip_derived_cl0]) ).
thf(zip_derived_cl130,plain,
! [X0: $i] : ( rel_str @ ( incl_POSet @ X0 ) ),
inference(cnf,[status(esa)],[dt_k2_yellow_1]) ).
thf(zip_derived_cl5999,plain,
! [X0: $i] :
( ( incl_POSet @ X0 )
= ( rel_str_of @ ( the_carrier @ ( incl_POSet @ X0 ) ) @ ( the_InternalRel @ ( incl_POSet @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4324,zip_derived_cl130]) ).
thf(redefinition_m2_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation_of2_as_subset @ C @ A @ B )
<=> ( relation_of2 @ C @ A @ B ) ) ).
thf(zip_derived_cl240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation_of2 @ X0 @ X1 @ X2 )
| ~ ( relation_of2_as_subset @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(dt_k1_yellow_1,axiom,
! [A: $i] :
( ( relation_of2_as_subset @ ( inclusion_order @ A ) @ A @ A )
& ( v1_partfun1 @ ( inclusion_order @ A ) @ A @ A )
& ( transitive @ ( inclusion_order @ A ) )
& ( antisymmetric @ ( inclusion_order @ A ) )
& ( reflexive @ ( inclusion_order @ A ) ) ) ).
thf(zip_derived_cl128,plain,
! [X0: $i] : ( relation_of2_as_subset @ ( inclusion_order @ X0 ) @ X0 @ X0 ),
inference(cnf,[status(esa)],[dt_k1_yellow_1]) ).
thf(zip_derived_cl239_001,plain,
! [X0: $i] :
( ( inclusion_order @ X0 )
= ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[redefinition_k1_yellow_1]) ).
thf(zip_derived_cl5173,plain,
! [X0: $i] : ( relation_of2_as_subset @ ( inclusion_relation @ X0 ) @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl239]) ).
thf(zip_derived_cl5251,plain,
! [X0: $i] : ( relation_of2 @ ( inclusion_relation @ X0 ) @ X0 @ X0 ),
inference('sup+',[status(thm)],[zip_derived_cl240,zip_derived_cl5173]) ).
thf(free_g1_orders_2,axiom,
! [A: $i,B: $i] :
( ( relation_of2 @ B @ A @ A )
=> ! [C: $i,D: $i] :
( ( ( rel_str_of @ A @ B )
= ( rel_str_of @ C @ D ) )
=> ( ( A = C )
& ( B = D ) ) ) ) ).
thf(zip_derived_cl186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( rel_str_of @ X2 @ X3 )
!= ( rel_str_of @ X0 @ X1 ) )
| ( X2 = X0 )
| ~ ( relation_of2 @ X3 @ X2 @ X2 ) ),
inference(cnf,[status(esa)],[free_g1_orders_2]) ).
thf(zip_derived_cl8939,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ( rel_str_of @ X0 @ ( inclusion_relation @ X0 ) )
!= ( rel_str_of @ X1 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5251,zip_derived_cl186]) ).
thf(d1_yellow_1,axiom,
! [A: $i] :
( ( incl_POSet @ A )
= ( rel_str_of @ A @ ( inclusion_order @ A ) ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ( incl_POSet @ X0 )
= ( rel_str_of @ X0 @ ( inclusion_order @ X0 ) ) ),
inference(cnf,[status(esa)],[d1_yellow_1]) ).
thf(zip_derived_cl239_002,plain,
! [X0: $i] :
( ( inclusion_order @ X0 )
= ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[redefinition_k1_yellow_1]) ).
thf(zip_derived_cl5153,plain,
! [X0: $i] :
( ( incl_POSet @ X0 )
= ( rel_str_of @ X0 @ ( inclusion_relation @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl239]) ).
thf(zip_derived_cl8947,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ( incl_POSet @ X0 )
!= ( rel_str_of @ X1 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8939,zip_derived_cl5153]) ).
thf(zip_derived_cl8990,plain,
! [X0: $i,X1: $i] :
( ( ( incl_POSet @ X1 )
!= ( incl_POSet @ X0 ) )
| ( X1
= ( the_carrier @ ( incl_POSet @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5999,zip_derived_cl8947]) ).
thf(zip_derived_cl8994,plain,
! [X0: $i] :
( X0
= ( the_carrier @ ( incl_POSet @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl8990]) ).
thf(zip_derived_cl8995,plain,
( ( ( the_InternalRel @ ( incl_POSet @ sk__186 ) )
!= ( inclusion_relation @ sk__186 ) )
| ( sk__186 != sk__186 ) ),
inference(demod,[status(thm)],[zip_derived_cl5114,zip_derived_cl8994]) ).
thf(zip_derived_cl8996,plain,
( ( the_InternalRel @ ( incl_POSet @ sk__186 ) )
!= ( inclusion_relation @ sk__186 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8995]) ).
thf(zip_derived_cl5999_003,plain,
! [X0: $i] :
( ( incl_POSet @ X0 )
= ( rel_str_of @ ( the_carrier @ ( incl_POSet @ X0 ) ) @ ( the_InternalRel @ ( incl_POSet @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4324,zip_derived_cl130]) ).
thf(zip_derived_cl8994_004,plain,
! [X0: $i] :
( X0
= ( the_carrier @ ( incl_POSet @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl8990]) ).
thf(zip_derived_cl8997,plain,
! [X0: $i] :
( ( incl_POSet @ X0 )
= ( rel_str_of @ X0 @ ( the_InternalRel @ ( incl_POSet @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5999,zip_derived_cl8994]) ).
thf(zip_derived_cl5251_005,plain,
! [X0: $i] : ( relation_of2 @ ( inclusion_relation @ X0 ) @ X0 @ X0 ),
inference('sup+',[status(thm)],[zip_derived_cl240,zip_derived_cl5173]) ).
thf(zip_derived_cl185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( rel_str_of @ X2 @ X3 )
!= ( rel_str_of @ X0 @ X1 ) )
| ( X3 = X1 )
| ~ ( relation_of2 @ X3 @ X2 @ X2 ) ),
inference(cnf,[status(esa)],[free_g1_orders_2]) ).
thf(zip_derived_cl8938,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( inclusion_relation @ X0 )
= X1 )
| ( ( rel_str_of @ X0 @ ( inclusion_relation @ X0 ) )
!= ( rel_str_of @ X2 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5251,zip_derived_cl185]) ).
thf(zip_derived_cl5153_006,plain,
! [X0: $i] :
( ( incl_POSet @ X0 )
= ( rel_str_of @ X0 @ ( inclusion_relation @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl239]) ).
thf(zip_derived_cl8946,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( inclusion_relation @ X0 )
= X1 )
| ( ( incl_POSet @ X0 )
!= ( rel_str_of @ X2 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8938,zip_derived_cl5153]) ).
thf(zip_derived_cl9230,plain,
! [X0: $i,X1: $i] :
( ( ( incl_POSet @ X1 )
!= ( incl_POSet @ X0 ) )
| ( ( inclusion_relation @ X1 )
= ( the_InternalRel @ ( incl_POSet @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8997,zip_derived_cl8946]) ).
thf(zip_derived_cl9362,plain,
! [X0: $i] :
( ( inclusion_relation @ X0 )
= ( the_InternalRel @ ( incl_POSet @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl9230]) ).
thf(zip_derived_cl9451,plain,
( ( inclusion_relation @ sk__186 )
!= ( inclusion_relation @ sk__186 ) ),
inference(demod,[status(thm)],[zip_derived_cl8996,zip_derived_cl9362]) ).
thf(zip_derived_cl9452,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl9451]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU368+2 : TPTP v9.2.0. Released v3.3.0.
% 0.00/0.09 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gSGecye0SC true
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 16:12:08 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.30 % Python version: Python 3.6.8
% 0.10/0.30 % Running in FO mode
% 0.15/0.55 % Total configuration time : 435
% 0.15/0.55 % Estimated wc time : 1092
% 0.15/0.55 % Estimated cpu time (7 cpus) : 156.0
% 1.01/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.01/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.01/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.01/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.01/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.01/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.01/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.25/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 17.40/3.05 % Solved by fo/fo3_bce.sh.
% 17.40/3.05 % BCE start: 640
% 17.40/3.05 % BCE eliminated: 17
% 17.40/3.05 % PE start: 623
% 17.40/3.05 logic: eq
% 17.40/3.05 % PE eliminated: -87
% 17.40/3.05 % done 730 iterations in 2.362s
% 17.40/3.05 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 17.40/3.05 % SZS output start Refutation
% See solution above
% 17.40/3.05
% 17.40/3.05
% 17.40/3.05 % Terminating...
% 17.40/3.09 % Runner terminated.
% 17.40/3.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------