TSTP Solution File: SEU368+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU368+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Me9nPIPpng true
% Computer : n004.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 Aug 31 19:12:27 EDT 2023
% Result : Theorem 1.31s 0.78s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 21
% Syntax : Number of formulae : 58 ( 19 unt; 14 typ; 0 def)
% Number of atoms : 83 ( 49 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 271 ( 35 ~; 23 |; 8 &; 197 @)
% ( 1 <=>; 4 =>; 3 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 57 ( 0 ^; 57 !; 0 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(the_InternalRel_type,type,
the_InternalRel: $i > $i ).
thf(v1_partfun1_type,type,
v1_partfun1: $i > $i > $i > $o ).
thf(inclusion_order_type,type,
inclusion_order: $i > $i ).
thf(reflexive_type,type,
reflexive: $i > $o ).
thf(antisymmetric_type,type,
antisymmetric: $i > $o ).
thf(relation_of2_type,type,
relation_of2: $i > $i > $i > $o ).
thf(transitive_type,type,
transitive: $i > $o ).
thf(rel_str_of_type,type,
rel_str_of: $i > $i > $i ).
thf(incl_POSet_type,type,
incl_POSet: $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(strict_rel_str_type,type,
strict_rel_str: $i > $o ).
thf(relation_of2_as_subset_type,type,
relation_of2_as_subset: $i > $i > $i > $o ).
thf(rel_str_type,type,
rel_str: $i > $o ).
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_cl86,plain,
( ( ( the_InternalRel @ ( incl_POSet @ sk__13 ) )
!= ( inclusion_order @ sk__13 ) )
| ( ( the_carrier @ ( incl_POSet @ sk__13 ) )
!= sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl88,plain,
( ( ( the_InternalRel @ ( incl_POSet @ sk__13 ) )
!= ( inclusion_order @ sk__13 ) )
<= ( ( the_InternalRel @ ( incl_POSet @ sk__13 ) )
!= ( inclusion_order @ sk__13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
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_cl52,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(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_cl76,plain,
! [X0: $i] : ( relation_of2_as_subset @ ( inclusion_order @ X0 ) @ X0 @ X0 ),
inference(cnf,[status(esa)],[dt_k1_yellow_1]) ).
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_cl56,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(zip_derived_cl124,plain,
! [X0: $i] : ( relation_of2 @ ( inclusion_order @ X0 ) @ X0 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl56]) ).
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_cl51,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_cl156,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( rel_str_of @ X0 @ ( inclusion_order @ X0 ) )
!= ( rel_str_of @ X2 @ X1 ) )
| ( X0 = X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl51]) ).
thf(d1_yellow_1,axiom,
! [A: $i] :
( ( incl_POSet @ A )
= ( rel_str_of @ A @ ( inclusion_order @ A ) ) ) ).
thf(zip_derived_cl85,plain,
! [X0: $i] :
( ( incl_POSet @ X0 )
= ( rel_str_of @ X0 @ ( inclusion_order @ X0 ) ) ),
inference(cnf,[status(esa)],[d1_yellow_1]) ).
thf(zip_derived_cl158,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( incl_POSet @ X0 )
!= ( rel_str_of @ X2 @ X1 ) )
| ( X0 = X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl85]) ).
thf(zip_derived_cl206,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_str @ X0 )
| ~ ( strict_rel_str @ X0 )
| ( ( incl_POSet @ X1 )
!= X0 )
| ( X1
= ( the_carrier @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl158]) ).
thf(zip_derived_cl207,plain,
! [X0: $i] :
( ( X0
= ( the_carrier @ ( incl_POSet @ X0 ) ) )
| ~ ( strict_rel_str @ ( incl_POSet @ X0 ) )
| ~ ( rel_str @ ( incl_POSet @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl206]) ).
thf(dt_k2_yellow_1,axiom,
! [A: $i] :
( ( rel_str @ ( incl_POSet @ A ) )
& ( strict_rel_str @ ( incl_POSet @ A ) ) ) ).
thf(zip_derived_cl77,plain,
! [X0: $i] : ( strict_rel_str @ ( incl_POSet @ X0 ) ),
inference(cnf,[status(esa)],[dt_k2_yellow_1]) ).
thf(zip_derived_cl78,plain,
! [X0: $i] : ( rel_str @ ( incl_POSet @ X0 ) ),
inference(cnf,[status(esa)],[dt_k2_yellow_1]) ).
thf(zip_derived_cl208,plain,
! [X0: $i] :
( X0
= ( the_carrier @ ( incl_POSet @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl77,zip_derived_cl78]) ).
thf(zip_derived_cl87,plain,
( ( ( the_carrier @ ( incl_POSet @ sk__13 ) )
!= sk__13 )
<= ( ( the_carrier @ ( incl_POSet @ sk__13 ) )
!= sk__13 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl214,plain,
( ( sk__13 != sk__13 )
<= ( ( the_carrier @ ( incl_POSet @ sk__13 ) )
!= sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl87]) ).
thf('0',plain,
( ( the_carrier @ ( incl_POSet @ sk__13 ) )
= sk__13 ),
inference(simplify,[status(thm)],[zip_derived_cl214]) ).
thf('1',plain,
( ( ( the_InternalRel @ ( incl_POSet @ sk__13 ) )
!= ( inclusion_order @ sk__13 ) )
| ( ( the_carrier @ ( incl_POSet @ sk__13 ) )
!= sk__13 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf('2',plain,
( ( the_InternalRel @ ( incl_POSet @ sk__13 ) )
!= ( inclusion_order @ sk__13 ) ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl220,plain,
( ( the_InternalRel @ ( incl_POSet @ sk__13 ) )
!= ( inclusion_order @ sk__13 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl88,'2']) ).
thf(zip_derived_cl208_001,plain,
! [X0: $i] :
( X0
= ( the_carrier @ ( incl_POSet @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl77,zip_derived_cl78]) ).
thf(zip_derived_cl52_002,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_cl210,plain,
! [X0: $i] :
( ~ ( strict_rel_str @ ( incl_POSet @ X0 ) )
| ( ( incl_POSet @ X0 )
= ( rel_str_of @ X0 @ ( the_InternalRel @ ( incl_POSet @ X0 ) ) ) )
| ~ ( rel_str @ ( incl_POSet @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl208,zip_derived_cl52]) ).
thf(zip_derived_cl77_003,plain,
! [X0: $i] : ( strict_rel_str @ ( incl_POSet @ X0 ) ),
inference(cnf,[status(esa)],[dt_k2_yellow_1]) ).
thf(zip_derived_cl78_004,plain,
! [X0: $i] : ( rel_str @ ( incl_POSet @ X0 ) ),
inference(cnf,[status(esa)],[dt_k2_yellow_1]) ).
thf(zip_derived_cl215,plain,
! [X0: $i] :
( ( incl_POSet @ X0 )
= ( rel_str_of @ X0 @ ( the_InternalRel @ ( incl_POSet @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl77,zip_derived_cl78]) ).
thf(zip_derived_cl124_005,plain,
! [X0: $i] : ( relation_of2 @ ( inclusion_order @ X0 ) @ X0 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl56]) ).
thf(zip_derived_cl50,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_cl139,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( rel_str_of @ X0 @ ( inclusion_order @ X0 ) )
!= ( rel_str_of @ X2 @ X1 ) )
| ( ( inclusion_order @ X0 )
= X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl50]) ).
thf(zip_derived_cl85_006,plain,
! [X0: $i] :
( ( incl_POSet @ X0 )
= ( rel_str_of @ X0 @ ( inclusion_order @ X0 ) ) ),
inference(cnf,[status(esa)],[d1_yellow_1]) ).
thf(zip_derived_cl141,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( incl_POSet @ X0 )
!= ( rel_str_of @ X2 @ X1 ) )
| ( ( inclusion_order @ X0 )
= X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl139,zip_derived_cl85]) ).
thf(zip_derived_cl222,plain,
! [X0: $i,X1: $i] :
( ( ( incl_POSet @ X1 )
!= ( incl_POSet @ X0 ) )
| ( ( inclusion_order @ X1 )
= ( the_InternalRel @ ( incl_POSet @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl141]) ).
thf(zip_derived_cl241,plain,
! [X0: $i] :
( ( inclusion_order @ X0 )
= ( the_InternalRel @ ( incl_POSet @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl243,plain,
( ( inclusion_order @ sk__13 )
!= ( inclusion_order @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl241]) ).
thf(zip_derived_cl244,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl243]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU368+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Me9nPIPpng true
% 0.13/0.34 % Computer : n004.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 Aug 23 18:13:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.19/0.63 % Total configuration time : 435
% 0.19/0.64 % Estimated wc time : 1092
% 0.19/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.15/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.15/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.15/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.31/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.31/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.78 % Solved by fo/fo1_av.sh.
% 1.31/0.78 % done 134 iterations in 0.043s
% 1.31/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/0.78 % SZS output start Refutation
% See solution above
% 1.31/0.78
% 1.31/0.78
% 1.31/0.78 % Terminating...
% 1.56/0.84 % Runner terminated.
% 1.56/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------