TSTP Solution File: SEU025+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU025+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.YVZHNMwu3o true
% Computer : n009.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 1.51s 0.88s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 56 ( 22 unt; 9 typ; 0 def)
% Number of atoms : 113 ( 33 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 378 ( 49 ~; 45 |; 8 &; 263 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 27 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(function_type,type,
function: $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(function_inverse_type,type,
function_inverse: $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(relation_composition_type,type,
relation_composition: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(one_to_one_type,type,
one_to_one: $i > $o ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl49,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(dt_k2_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( relation @ ( function_inverse @ A ) )
& ( function @ ( function_inverse @ A ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( relation @ ( function_inverse @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k2_funct_1]) ).
thf(t58_funct_1,conjecture,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( one_to_one @ A )
=> ( ( ( relation_dom @ ( relation_composition @ A @ ( function_inverse @ A ) ) )
= ( relation_dom @ A ) )
& ( ( relation_rng @ ( relation_composition @ A @ ( function_inverse @ A ) ) )
= ( relation_dom @ A ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( one_to_one @ A )
=> ( ( ( relation_dom @ ( relation_composition @ A @ ( function_inverse @ A ) ) )
= ( relation_dom @ A ) )
& ( ( relation_rng @ ( relation_composition @ A @ ( function_inverse @ A ) ) )
= ( relation_dom @ A ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t58_funct_1]) ).
thf(zip_derived_cl62,plain,
one_to_one @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t55_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( one_to_one @ A )
=> ( ( ( relation_rng @ A )
= ( relation_dom @ ( function_inverse @ A ) ) )
& ( ( relation_dom @ A )
= ( relation_rng @ ( function_inverse @ A ) ) ) ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i] :
( ~ ( one_to_one @ X0 )
| ( ( relation_rng @ X0 )
= ( relation_dom @ ( function_inverse @ X0 ) ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t55_funct_1]) ).
thf(zip_derived_cl339,plain,
( ~ ( relation @ sk__11 )
| ~ ( function @ sk__11 )
| ( ( relation_rng @ sk__11 )
= ( relation_dom @ ( function_inverse @ sk__11 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl62,zip_derived_cl58]) ).
thf(zip_derived_cl59,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl415,plain,
( ( relation_rng @ sk__11 )
= ( relation_dom @ ( function_inverse @ sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl339,zip_derived_cl59,zip_derived_cl60]) ).
thf(t46_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( relation @ B )
=> ( ( subset @ ( relation_rng @ A ) @ ( relation_dom @ B ) )
=> ( ( relation_dom @ ( relation_composition @ A @ B ) )
= ( relation_dom @ A ) ) ) ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( ( relation_dom @ ( relation_composition @ X1 @ X0 ) )
= ( relation_dom @ X1 ) )
| ~ ( subset @ ( relation_rng @ X1 ) @ ( relation_dom @ X0 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t46_relat_1]) ).
thf(zip_derived_cl441,plain,
! [X0: $i] :
( ~ ( relation @ ( function_inverse @ sk__11 ) )
| ( ( relation_dom @ ( relation_composition @ X0 @ ( function_inverse @ sk__11 ) ) )
= ( relation_dom @ X0 ) )
| ~ ( subset @ ( relation_rng @ X0 ) @ ( relation_rng @ sk__11 ) )
| ~ ( relation @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl54]) ).
thf(zip_derived_cl949,plain,
! [X0: $i] :
( ~ ( relation @ sk__11 )
| ~ ( function @ sk__11 )
| ( ( relation_dom @ ( relation_composition @ X0 @ ( function_inverse @ sk__11 ) ) )
= ( relation_dom @ X0 ) )
| ~ ( subset @ ( relation_rng @ X0 ) @ ( relation_rng @ sk__11 ) )
| ~ ( relation @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl441]) ).
thf(zip_derived_cl59_001,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60_002,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl954,plain,
! [X0: $i] :
( ( ( relation_dom @ ( relation_composition @ X0 @ ( function_inverse @ sk__11 ) ) )
= ( relation_dom @ X0 ) )
| ~ ( subset @ ( relation_rng @ X0 ) @ ( relation_rng @ sk__11 ) )
| ~ ( relation @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl949,zip_derived_cl59,zip_derived_cl60]) ).
thf(zip_derived_cl1153,plain,
( ( ( relation_dom @ ( relation_composition @ sk__11 @ ( function_inverse @ sk__11 ) ) )
= ( relation_dom @ sk__11 ) )
| ~ ( relation @ sk__11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl954]) ).
thf(zip_derived_cl59_003,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1172,plain,
( ( relation_dom @ ( relation_composition @ sk__11 @ ( function_inverse @ sk__11 ) ) )
= ( relation_dom @ sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1153,zip_derived_cl59]) ).
thf(zip_derived_cl61,plain,
( ( ( relation_dom @ ( relation_composition @ sk__11 @ ( function_inverse @ sk__11 ) ) )
!= ( relation_dom @ sk__11 ) )
| ( ( relation_rng @ ( relation_composition @ sk__11 @ ( function_inverse @ sk__11 ) ) )
!= ( relation_dom @ sk__11 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49_004,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(zip_derived_cl6_005,plain,
! [X0: $i] :
( ( relation @ ( function_inverse @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k2_funct_1]) ).
thf(zip_derived_cl415_006,plain,
( ( relation_rng @ sk__11 )
= ( relation_dom @ ( function_inverse @ sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl339,zip_derived_cl59,zip_derived_cl60]) ).
thf(t47_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( relation @ B )
=> ( ( subset @ ( relation_dom @ A ) @ ( relation_rng @ B ) )
=> ( ( relation_rng @ ( relation_composition @ B @ A ) )
= ( relation_rng @ A ) ) ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( ( relation_rng @ ( relation_composition @ X0 @ X1 ) )
= ( relation_rng @ X1 ) )
| ~ ( subset @ ( relation_dom @ X1 ) @ ( relation_rng @ X0 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t47_relat_1]) ).
thf(zip_derived_cl455,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ( ( relation_rng @ ( relation_composition @ X0 @ ( function_inverse @ sk__11 ) ) )
= ( relation_rng @ ( function_inverse @ sk__11 ) ) )
| ~ ( subset @ ( relation_rng @ sk__11 ) @ ( relation_rng @ X0 ) )
| ~ ( relation @ ( function_inverse @ sk__11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl55]) ).
thf(zip_derived_cl62_007,plain,
one_to_one @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ~ ( one_to_one @ X0 )
| ( ( relation_dom @ X0 )
= ( relation_rng @ ( function_inverse @ X0 ) ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t55_funct_1]) ).
thf(zip_derived_cl338,plain,
( ~ ( relation @ sk__11 )
| ~ ( function @ sk__11 )
| ( ( relation_dom @ sk__11 )
= ( relation_rng @ ( function_inverse @ sk__11 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl62,zip_derived_cl57]) ).
thf(zip_derived_cl59_008,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60_009,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl406,plain,
( ( relation_dom @ sk__11 )
= ( relation_rng @ ( function_inverse @ sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl338,zip_derived_cl59,zip_derived_cl60]) ).
thf(zip_derived_cl458,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ( ( relation_rng @ ( relation_composition @ X0 @ ( function_inverse @ sk__11 ) ) )
= ( relation_dom @ sk__11 ) )
| ~ ( subset @ ( relation_rng @ sk__11 ) @ ( relation_rng @ X0 ) )
| ~ ( relation @ ( function_inverse @ sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl455,zip_derived_cl406]) ).
thf(zip_derived_cl981,plain,
! [X0: $i] :
( ~ ( relation @ sk__11 )
| ~ ( function @ sk__11 )
| ~ ( relation @ X0 )
| ( ( relation_rng @ ( relation_composition @ X0 @ ( function_inverse @ sk__11 ) ) )
= ( relation_dom @ sk__11 ) )
| ~ ( subset @ ( relation_rng @ sk__11 ) @ ( relation_rng @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl458]) ).
thf(zip_derived_cl59_010,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60_011,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl986,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ( ( relation_rng @ ( relation_composition @ X0 @ ( function_inverse @ sk__11 ) ) )
= ( relation_dom @ sk__11 ) )
| ~ ( subset @ ( relation_rng @ sk__11 ) @ ( relation_rng @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl981,zip_derived_cl59,zip_derived_cl60]) ).
thf(zip_derived_cl987,plain,
( ~ ( relation @ sk__11 )
| ( ( relation_rng @ ( relation_composition @ sk__11 @ ( function_inverse @ sk__11 ) ) )
= ( relation_dom @ sk__11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl986]) ).
thf(zip_derived_cl59_012,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1005,plain,
( ( relation_rng @ ( relation_composition @ sk__11 @ ( function_inverse @ sk__11 ) ) )
= ( relation_dom @ sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl987,zip_derived_cl59]) ).
thf(zip_derived_cl1013,plain,
( ( ( relation_dom @ ( relation_composition @ sk__11 @ ( function_inverse @ sk__11 ) ) )
!= ( relation_dom @ sk__11 ) )
| ( ( relation_dom @ sk__11 )
!= ( relation_dom @ sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl1005]) ).
thf(zip_derived_cl1014,plain,
( ( relation_dom @ ( relation_composition @ sk__11 @ ( function_inverse @ sk__11 ) ) )
!= ( relation_dom @ sk__11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1013]) ).
thf(zip_derived_cl1173,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1172,zip_derived_cl1014]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU025+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YVZHNMwu3o true
% 0.13/0.34 % Computer : n009.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 17:19:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/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
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.32/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.51/0.88 % Solved by fo/fo6_bce.sh.
% 1.51/0.88 % BCE start: 67
% 1.51/0.88 % BCE eliminated: 2
% 1.51/0.88 % PE start: 65
% 1.51/0.88 logic: eq
% 1.51/0.88 % PE eliminated: -1
% 1.51/0.88 % done 198 iterations in 0.136s
% 1.51/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.51/0.88 % SZS output start Refutation
% See solution above
% 1.51/0.88
% 1.51/0.88
% 1.51/0.88 % Terminating...
% 1.65/0.96 % Runner terminated.
% 1.65/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------