TSTP Solution File: SEU353+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU353+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EoLuHdxc45 true
% Computer : n028.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 19:12:20 EDT 2023
% Result : Theorem 0.21s 0.86s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 35
% Syntax : Number of formulae : 83 ( 32 unt; 23 typ; 0 def)
% Number of atoms : 121 ( 25 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 425 ( 44 ~; 31 |; 17 &; 320 @)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 3 con; 0-4 aty)
% Number of variables : 55 ( 0 ^; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(element_type,type,
element: $i > $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(relation_of2_type,type,
relation_of2: $i > $i > $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(one_sorted_str_type,type,
one_sorted_str: $i > $o ).
thf(function_type,type,
function: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(identity_relation_type,type,
identity_relation: $i > $i ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(reflexive_type,type,
reflexive: $i > $o ).
thf(identity_as_relation_of_type,type,
identity_as_relation_of: $i > $i ).
thf(antisymmetric_type,type,
antisymmetric: $i > $o ).
thf(identity_on_carrier_type,type,
identity_on_carrier: $i > $i ).
thf(v1_partfun1_type,type,
v1_partfun1: $i > $i > $i > $o ).
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(transitive_type,type,
transitive: $i > $o ).
thf(apply_as_element_type,type,
apply_as_element: $i > $i > $i > $i > $i ).
thf(symmetric_type,type,
symmetric: $i > $o ).
thf(relation_of2_as_subset_type,type,
relation_of2_as_subset: $i > $i > $i > $o ).
thf(quasi_total_type,type,
quasi_total: $i > $i > $i > $o ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) ).
thf(zip_derived_cl97,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(t91_tmap_1,conjecture,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ( ( apply_as_element @ ( the_carrier @ A ) @ ( the_carrier @ A ) @ ( identity_on_carrier @ A ) @ B )
= B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ( ( apply_as_element @ ( the_carrier @ A ) @ ( the_carrier @ A ) @ ( identity_on_carrier @ A ) @ B )
= B ) ) ),
inference('cnf.neg',[status(esa)],[t91_tmap_1]) ).
thf(zip_derived_cl107,plain,
one_sorted_str @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d11_grcat_1,axiom,
! [A: $i] :
( ( one_sorted_str @ A )
=> ( ( identity_on_carrier @ A )
= ( identity_as_relation_of @ ( the_carrier @ A ) ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i] :
( ( ( identity_on_carrier @ X0 )
= ( identity_as_relation_of @ ( the_carrier @ X0 ) ) )
| ~ ( one_sorted_str @ X0 ) ),
inference(cnf,[status(esa)],[d11_grcat_1]) ).
thf(zip_derived_cl708,plain,
( ( identity_on_carrier @ sk__15 )
= ( identity_as_relation_of @ ( the_carrier @ sk__15 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl107,zip_derived_cl25]) ).
thf(redefinition_k6_partfun1,axiom,
! [A: $i] :
( ( identity_as_relation_of @ A )
= ( identity_relation @ A ) ) ).
thf(zip_derived_cl91,plain,
! [X0: $i] :
( ( identity_as_relation_of @ X0 )
= ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[redefinition_k6_partfun1]) ).
thf(zip_derived_cl901,plain,
( ( identity_on_carrier @ sk__15 )
= ( identity_relation @ ( the_carrier @ sk__15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl708,zip_derived_cl91]) ).
thf(t35_funct_1,axiom,
! [A: $i,B: $i] :
( ( in @ B @ A )
=> ( ( apply @ ( identity_relation @ A ) @ B )
= B ) ) ).
thf(zip_derived_cl98,plain,
! [X0: $i,X1: $i] :
( ( ( apply @ ( identity_relation @ X1 ) @ X0 )
= X0 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t35_funct_1]) ).
thf(zip_derived_cl1099,plain,
! [X0: $i] :
( ( ( apply @ ( identity_on_carrier @ sk__15 ) @ X0 )
= X0 )
| ~ ( in @ X0 @ ( the_carrier @ sk__15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl901,zip_derived_cl98]) ).
thf(redefinition_k8_funct_2,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( empty @ A )
& ( function @ C )
& ( quasi_total @ C @ A @ B )
& ( relation_of2 @ C @ A @ B )
& ( element @ D @ A ) )
=> ( ( apply_as_element @ A @ B @ C @ D )
= ( apply @ C @ D ) ) ) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation_of2 @ X0 @ X1 @ X2 )
| ~ ( quasi_total @ X0 @ X1 @ X2 )
| ~ ( function @ X0 )
| ( empty @ X1 )
| ~ ( element @ X3 @ X1 )
| ( ( apply_as_element @ X1 @ X2 @ X0 @ X3 )
= ( apply @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[redefinition_k8_funct_2]) ).
thf(zip_derived_cl108,plain,
( ( apply_as_element @ ( the_carrier @ sk__15 ) @ ( the_carrier @ sk__15 ) @ ( identity_on_carrier @ sk__15 ) @ sk__16 )
!= sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1071,plain,
( ~ ( element @ sk__16 @ ( the_carrier @ sk__15 ) )
| ( empty @ ( the_carrier @ sk__15 ) )
| ~ ( function @ ( identity_on_carrier @ sk__15 ) )
| ~ ( quasi_total @ ( identity_on_carrier @ sk__15 ) @ ( the_carrier @ sk__15 ) @ ( the_carrier @ sk__15 ) )
| ~ ( relation_of2 @ ( identity_on_carrier @ sk__15 ) @ ( the_carrier @ sk__15 ) @ ( the_carrier @ sk__15 ) )
| ( ( apply @ ( identity_on_carrier @ sk__15 ) @ sk__16 )
!= sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl108]) ).
thf(zip_derived_cl109,plain,
element @ sk__16 @ ( the_carrier @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl107_001,plain,
one_sorted_str @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fc1_struct_0,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ~ ( empty @ ( the_carrier @ A ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ~ ( empty @ ( the_carrier @ X0 ) )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 ) ),
inference(cnf,[status(esa)],[fc1_struct_0]) ).
thf(zip_derived_cl106,plain,
~ ( empty_carrier @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl606,plain,
( ~ ( one_sorted_str @ sk__15 )
| ~ ( empty @ ( the_carrier @ sk__15 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl46,zip_derived_cl106]) ).
thf(zip_derived_cl716,plain,
( ( sk__15 != sk__15 )
| ~ ( empty @ ( the_carrier @ sk__15 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl107,zip_derived_cl606]) ).
thf(zip_derived_cl872,plain,
~ ( empty @ ( the_carrier @ sk__15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl716]) ).
thf(zip_derived_cl107_002,plain,
one_sorted_str @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k7_grcat_1,axiom,
! [A: $i] :
( ( one_sorted_str @ A )
=> ( ( function @ ( identity_on_carrier @ A ) )
& ( quasi_total @ ( identity_on_carrier @ A ) @ ( the_carrier @ A ) @ ( the_carrier @ A ) )
& ( relation_of2_as_subset @ ( identity_on_carrier @ A ) @ ( the_carrier @ A ) @ ( the_carrier @ A ) ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( function @ ( identity_on_carrier @ X0 ) )
| ~ ( one_sorted_str @ X0 ) ),
inference(cnf,[status(esa)],[dt_k7_grcat_1]) ).
thf(zip_derived_cl709,plain,
function @ ( identity_on_carrier @ sk__15 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl107,zip_derived_cl33]) ).
thf(zip_derived_cl1075,plain,
( ~ ( quasi_total @ ( identity_on_carrier @ sk__15 ) @ ( the_carrier @ sk__15 ) @ ( the_carrier @ sk__15 ) )
| ~ ( relation_of2 @ ( identity_on_carrier @ sk__15 ) @ ( the_carrier @ sk__15 ) @ ( the_carrier @ sk__15 ) )
| ( ( apply @ ( identity_on_carrier @ sk__15 ) @ sk__16 )
!= sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1071,zip_derived_cl109,zip_derived_cl872,zip_derived_cl709]) ).
thf(zip_derived_cl901_003,plain,
( ( identity_on_carrier @ sk__15 )
= ( identity_relation @ ( the_carrier @ sk__15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl708,zip_derived_cl91]) ).
thf(dt_k6_partfun1,axiom,
! [A: $i] :
( ( relation_of2_as_subset @ ( identity_as_relation_of @ A ) @ A @ A )
& ( v1_partfun1 @ ( identity_as_relation_of @ A ) @ A @ A ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i] : ( v1_partfun1 @ ( identity_as_relation_of @ X0 ) @ X0 @ X0 ),
inference(cnf,[status(esa)],[dt_k6_partfun1]) ).
thf(cc1_funct_2,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation_of2 @ C @ A @ B )
=> ( ( ( function @ C )
& ( v1_partfun1 @ C @ A @ B ) )
=> ( ( function @ C )
& ( quasi_total @ C @ A @ B ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( function @ X0 )
| ~ ( v1_partfun1 @ X0 @ X1 @ X2 )
| ( quasi_total @ X0 @ X1 @ X2 )
| ~ ( relation_of2 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[cc1_funct_2]) ).
thf(zip_derived_cl661,plain,
! [X0: $i] :
( ~ ( relation_of2 @ ( identity_as_relation_of @ X0 ) @ X0 @ X0 )
| ( quasi_total @ ( identity_as_relation_of @ X0 ) @ X0 @ X0 )
| ~ ( function @ ( identity_as_relation_of @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl2]) ).
thf(zip_derived_cl91_004,plain,
! [X0: $i] :
( ( identity_as_relation_of @ X0 )
= ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[redefinition_k6_partfun1]) ).
thf(zip_derived_cl31,plain,
! [X0: $i] : ( relation_of2_as_subset @ ( identity_as_relation_of @ X0 ) @ X0 @ X0 ),
inference(cnf,[status(esa)],[dt_k6_partfun1]) ).
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_cl93,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_cl611,plain,
! [X0: $i] : ( relation_of2 @ ( identity_as_relation_of @ X0 ) @ X0 @ X0 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl31,zip_derived_cl93]) ).
thf(zip_derived_cl91_005,plain,
! [X0: $i] :
( ( identity_as_relation_of @ X0 )
= ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[redefinition_k6_partfun1]) ).
thf(zip_derived_cl1120,plain,
! [X0: $i] : ( relation_of2 @ ( identity_relation @ X0 ) @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl91]) ).
thf(zip_derived_cl91_006,plain,
! [X0: $i] :
( ( identity_as_relation_of @ X0 )
= ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[redefinition_k6_partfun1]) ).
thf(zip_derived_cl91_007,plain,
! [X0: $i] :
( ( identity_as_relation_of @ X0 )
= ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[redefinition_k6_partfun1]) ).
thf(fc2_partfun1,axiom,
! [A: $i] :
( ( transitive @ ( identity_relation @ A ) )
& ( antisymmetric @ ( identity_relation @ A ) )
& ( symmetric @ ( identity_relation @ A ) )
& ( reflexive @ ( identity_relation @ A ) )
& ( function @ ( identity_relation @ A ) )
& ( relation @ ( identity_relation @ A ) ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i] : ( function @ ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[fc2_partfun1]) ).
thf(zip_derived_cl1179,plain,
! [X0: $i] : ( quasi_total @ ( identity_relation @ X0 ) @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl661,zip_derived_cl91,zip_derived_cl1120,zip_derived_cl91,zip_derived_cl91,zip_derived_cl50]) ).
thf(zip_derived_cl1185,plain,
quasi_total @ ( identity_on_carrier @ sk__15 ) @ ( the_carrier @ sk__15 ) @ ( the_carrier @ sk__15 ),
inference('s_sup+',[status(thm)],[zip_derived_cl901,zip_derived_cl1179]) ).
thf(zip_derived_cl901_008,plain,
( ( identity_on_carrier @ sk__15 )
= ( identity_relation @ ( the_carrier @ sk__15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl708,zip_derived_cl91]) ).
thf(zip_derived_cl1120_009,plain,
! [X0: $i] : ( relation_of2 @ ( identity_relation @ X0 ) @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl91]) ).
thf(zip_derived_cl1125,plain,
relation_of2 @ ( identity_on_carrier @ sk__15 ) @ ( the_carrier @ sk__15 ) @ ( the_carrier @ sk__15 ),
inference('s_sup+',[status(thm)],[zip_derived_cl901,zip_derived_cl1120]) ).
thf(zip_derived_cl1285,plain,
( ( apply @ ( identity_on_carrier @ sk__15 ) @ sk__16 )
!= sk__16 ),
inference(demod,[status(thm)],[zip_derived_cl1075,zip_derived_cl1185,zip_derived_cl1125]) ).
thf(zip_derived_cl1318,plain,
( ~ ( in @ sk__16 @ ( the_carrier @ sk__15 ) )
| ( sk__16 != sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1099,zip_derived_cl1285]) ).
thf(zip_derived_cl1323,plain,
~ ( in @ sk__16 @ ( the_carrier @ sk__15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1318]) ).
thf(zip_derived_cl1324,plain,
( ~ ( element @ sk__16 @ ( the_carrier @ sk__15 ) )
| ( empty @ ( the_carrier @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl1323]) ).
thf(zip_derived_cl109_010,plain,
element @ sk__16 @ ( the_carrier @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl872_011,plain,
~ ( empty @ ( the_carrier @ sk__15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl716]) ).
thf(zip_derived_cl1327,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1324,zip_derived_cl109,zip_derived_cl872]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU353+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EoLuHdxc45 true
% 0.14/0.35 % Computer : n028.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 : Thu Aug 24 01:17:19 EDT 2023
% 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
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.86 % Solved by fo/fo6_bce.sh.
% 0.21/0.86 % BCE start: 110
% 0.21/0.86 % BCE eliminated: 2
% 0.21/0.86 % PE start: 108
% 0.21/0.86 logic: eq
% 0.21/0.86 % PE eliminated: 22
% 0.21/0.86 % done 166 iterations in 0.100s
% 0.21/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.86 % SZS output start Refutation
% See solution above
% 0.21/0.86
% 0.21/0.86
% 0.21/0.86 % Terminating...
% 1.82/0.96 % Runner terminated.
% 1.82/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------