TSTP Solution File: SEU020+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU020+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xDZp6wfKv9 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 Aug 31 19:10:14 EDT 2023
% Result : Theorem 0.70s 0.83s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 38 ( 19 unt; 10 typ; 0 def)
% Number of atoms : 70 ( 12 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 190 ( 25 ~; 20 |; 12 &; 123 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 ^; 14 !; 2 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__9_type,type,
sk__9: $i ).
thf(function_type,type,
function: $i > $o ).
thf(identity_relation_type,type,
identity_relation: $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(relation_composition_type,type,
relation_composition: $i > $i > $i ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(one_to_one_type,type,
one_to_one: $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(t27_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( ( relation_dom @ ( relation_composition @ B @ A ) )
= ( relation_dom @ B ) )
=> ( subset @ ( relation_rng @ B ) @ ( relation_dom @ A ) ) ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( subset @ ( relation_rng @ X0 ) @ ( relation_dom @ X1 ) )
| ( ( relation_dom @ ( relation_composition @ X0 @ X1 ) )
!= ( relation_dom @ X0 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t27_funct_1]) ).
thf(t53_funct_1,conjecture,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ? [B: $i] :
( ( ( relation_composition @ A @ B )
= ( identity_relation @ ( relation_dom @ A ) ) )
& ( function @ B )
& ( relation @ B ) )
=> ( one_to_one @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ? [B: $i] :
( ( ( relation_composition @ A @ B )
= ( identity_relation @ ( relation_dom @ A ) ) )
& ( function @ B )
& ( relation @ B ) )
=> ( one_to_one @ A ) ) ),
inference('cnf.neg',[status(esa)],[t53_funct_1]) ).
thf(zip_derived_cl53,plain,
( ( relation_composition @ sk__9 @ sk__10 )
= ( identity_relation @ ( relation_dom @ sk__9 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t52_funct_1,axiom,
! [A: $i] : ( one_to_one @ ( identity_relation @ A ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i] : ( one_to_one @ ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[t52_funct_1]) ).
thf(zip_derived_cl296,plain,
one_to_one @ ( relation_composition @ sk__9 @ sk__10 ),
inference('s_sup+',[status(thm)],[zip_derived_cl53,zip_derived_cl49]) ).
thf(t47_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( ( one_to_one @ ( relation_composition @ B @ A ) )
& ( subset @ ( relation_rng @ B ) @ ( relation_dom @ A ) ) )
=> ( one_to_one @ B ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( one_to_one @ X0 )
| ~ ( subset @ ( relation_rng @ X0 ) @ ( relation_dom @ X1 ) )
| ~ ( one_to_one @ ( relation_composition @ X0 @ X1 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t47_funct_1]) ).
thf(zip_derived_cl444,plain,
( ~ ( relation @ sk__9 )
| ~ ( function @ sk__9 )
| ( one_to_one @ sk__9 )
| ~ ( subset @ ( relation_rng @ sk__9 ) @ ( relation_dom @ sk__10 ) )
| ~ ( function @ sk__10 )
| ~ ( relation @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl47]) ).
thf(zip_derived_cl50,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51,plain,
function @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52,plain,
~ ( one_to_one @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54,plain,
function @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55,plain,
relation @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl447,plain,
~ ( subset @ ( relation_rng @ sk__9 ) @ ( relation_dom @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl444,zip_derived_cl50,zip_derived_cl51,zip_derived_cl52,zip_derived_cl54,zip_derived_cl55]) ).
thf(zip_derived_cl450,plain,
( ~ ( relation @ sk__10 )
| ~ ( function @ sk__10 )
| ( ( relation_dom @ ( relation_composition @ sk__9 @ sk__10 ) )
!= ( relation_dom @ sk__9 ) )
| ~ ( function @ sk__9 )
| ~ ( relation @ sk__9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl447]) ).
thf(zip_derived_cl55_001,plain,
relation @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54_002,plain,
function @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53_003,plain,
( ( relation_composition @ sk__9 @ sk__10 )
= ( identity_relation @ ( relation_dom @ sk__9 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t71_relat_1,axiom,
! [A: $i] :
( ( ( relation_rng @ ( identity_relation @ A ) )
= A )
& ( ( relation_dom @ ( identity_relation @ A ) )
= A ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i] :
( ( relation_dom @ ( identity_relation @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[t71_relat_1]) ).
thf(zip_derived_cl297,plain,
( ( relation_dom @ ( relation_composition @ sk__9 @ sk__10 ) )
= ( relation_dom @ sk__9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl53,zip_derived_cl58]) ).
thf(zip_derived_cl51_004,plain,
function @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50_005,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl452,plain,
( ( relation_dom @ sk__9 )
!= ( relation_dom @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl55,zip_derived_cl54,zip_derived_cl297,zip_derived_cl51,zip_derived_cl50]) ).
thf(zip_derived_cl453,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl452]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU020+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xDZp6wfKv9 true
% 0.15/0.37 % Computer : n001.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 24 01:02:25 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.38 % Python version: Python 3.6.8
% 0.15/0.38 % Running in FO mode
% 0.23/0.69 % Total configuration time : 435
% 0.23/0.69 % Estimated wc time : 1092
% 0.23/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.70/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.70/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.70/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.70/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.70/0.83 % Solved by fo/fo6_bce.sh.
% 0.70/0.83 % BCE start: 62
% 0.70/0.83 % BCE eliminated: 2
% 0.70/0.83 % PE start: 60
% 0.70/0.83 logic: eq
% 0.70/0.83 % PE eliminated: 0
% 0.70/0.83 % done 106 iterations in 0.042s
% 0.70/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.70/0.83 % SZS output start Refutation
% See solution above
% 0.70/0.83
% 0.70/0.83
% 0.70/0.84 % Terminating...
% 1.46/0.89 % Runner terminated.
% 1.46/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------