TSTP Solution File: SEU032+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU032+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.e0KKBjmQvX 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 19:10:16 EDT 2023
% Result : Theorem 1.14s 0.82s
% Output : Refutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 38 ( 6 unt; 9 typ; 0 def)
% Number of atoms : 136 ( 33 equ; 0 cnn)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 406 ( 84 ~; 80 |; 13 &; 215 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(function_type,type,
function: $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(function_inverse_type,type,
function_inverse: $i > $i ).
thf(identity_relation_type,type,
identity_relation: $i > $i ).
thf(relation_composition_type,type,
relation_composition: $i > $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(one_to_one_type,type,
one_to_one: $i > $o ).
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_cl20,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(t61_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( one_to_one @ A )
=> ( ( ( relation_composition @ A @ ( function_inverse @ A ) )
= ( identity_relation @ ( relation_dom @ A ) ) )
& ( ( relation_composition @ ( function_inverse @ A ) @ A )
= ( identity_relation @ ( relation_rng @ A ) ) ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ~ ( one_to_one @ X0 )
| ( ( relation_composition @ ( function_inverse @ X0 ) @ X0 )
= ( identity_relation @ ( relation_rng @ X0 ) ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t61_funct_1]) ).
thf(t63_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( ( one_to_one @ A )
& ( ( relation_rng @ A )
= ( relation_dom @ B ) )
& ( ( relation_composition @ A @ B )
= ( identity_relation @ ( relation_dom @ A ) ) ) )
=> ( B
= ( function_inverse @ A ) ) ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( X0
= ( function_inverse @ X1 ) )
| ( ( relation_composition @ X1 @ X0 )
!= ( identity_relation @ ( relation_dom @ X1 ) ) )
| ( ( relation_rng @ X1 )
!= ( relation_dom @ X0 ) )
| ~ ( one_to_one @ X1 )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t63_funct_1]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ( ( identity_relation @ ( relation_rng @ X0 ) )
!= ( identity_relation @ ( relation_dom @ ( function_inverse @ X0 ) ) ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( one_to_one @ X0 )
| ~ ( relation @ ( function_inverse @ X0 ) )
| ~ ( function @ ( function_inverse @ X0 ) )
| ~ ( one_to_one @ ( function_inverse @ X0 ) )
| ( ( relation_rng @ ( function_inverse @ X0 ) )
!= ( relation_dom @ X0 ) )
| ( X0
= ( function_inverse @ ( function_inverse @ X0 ) ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl24]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ( X0
= ( function_inverse @ ( function_inverse @ X0 ) ) )
| ( ( relation_rng @ ( function_inverse @ X0 ) )
!= ( relation_dom @ X0 ) )
| ~ ( one_to_one @ ( function_inverse @ X0 ) )
| ~ ( function @ ( function_inverse @ X0 ) )
| ~ ( relation @ ( function_inverse @ X0 ) )
| ~ ( one_to_one @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ( ( identity_relation @ ( relation_rng @ X0 ) )
!= ( identity_relation @ ( relation_dom @ ( function_inverse @ X0 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl59,plain,
! [X0: $i] :
( ( ( identity_relation @ ( relation_rng @ X0 ) )
!= ( identity_relation @ ( relation_rng @ X0 ) ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( one_to_one @ X0 )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( one_to_one @ X0 )
| ~ ( relation @ ( function_inverse @ X0 ) )
| ~ ( function @ ( function_inverse @ X0 ) )
| ~ ( one_to_one @ ( function_inverse @ X0 ) )
| ( ( relation_rng @ ( function_inverse @ X0 ) )
!= ( relation_dom @ X0 ) )
| ( X0
= ( function_inverse @ ( function_inverse @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl52]) ).
thf(zip_derived_cl60,plain,
! [X0: $i] :
( ( X0
= ( function_inverse @ ( function_inverse @ X0 ) ) )
| ( ( relation_rng @ ( function_inverse @ X0 ) )
!= ( relation_dom @ X0 ) )
| ~ ( one_to_one @ ( function_inverse @ X0 ) )
| ~ ( function @ ( function_inverse @ X0 ) )
| ~ ( relation @ ( function_inverse @ X0 ) )
| ~ ( one_to_one @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl19,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_cl61,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( one_to_one @ X0 )
| ~ ( relation @ ( function_inverse @ X0 ) )
| ~ ( function @ ( function_inverse @ X0 ) )
| ~ ( one_to_one @ ( function_inverse @ X0 ) )
| ( X0
= ( function_inverse @ ( function_inverse @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl60,zip_derived_cl19]) ).
thf(dt_k2_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( relation @ ( function_inverse @ A ) )
& ( function @ ( function_inverse @ A ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( relation @ ( function_inverse @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k2_funct_1]) ).
thf(zip_derived_cl62,plain,
! [X0: $i] :
( ( X0
= ( function_inverse @ ( function_inverse @ X0 ) ) )
| ~ ( one_to_one @ ( function_inverse @ X0 ) )
| ~ ( function @ ( function_inverse @ X0 ) )
| ~ ( one_to_one @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl61,zip_derived_cl5]) ).
thf(t62_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( one_to_one @ A )
=> ( one_to_one @ ( function_inverse @ A ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i] :
( ~ ( one_to_one @ X0 )
| ( one_to_one @ ( function_inverse @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t62_funct_1]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( one_to_one @ X0 )
| ~ ( function @ ( function_inverse @ X0 ) )
| ( X0
= ( function_inverse @ ( function_inverse @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl62,zip_derived_cl23]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( function @ ( function_inverse @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k2_funct_1]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
( ( X0
= ( function_inverse @ ( function_inverse @ X0 ) ) )
| ~ ( one_to_one @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl63,zip_derived_cl6]) ).
thf(t65_funct_1,conjecture,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( one_to_one @ A )
=> ( ( function_inverse @ ( function_inverse @ A ) )
= A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( one_to_one @ A )
=> ( ( function_inverse @ ( function_inverse @ A ) )
= A ) ) ),
inference('cnf.neg',[status(esa)],[t65_funct_1]) ).
thf(zip_derived_cl27,plain,
( ( function_inverse @ ( function_inverse @ sk__5 ) )
!= sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74,plain,
( ( sk__5 != sk__5 )
| ~ ( relation @ sk__5 )
| ~ ( function @ sk__5 )
| ~ ( one_to_one @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl27]) ).
thf(zip_derived_cl25,plain,
relation @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26,plain,
function @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28,plain,
one_to_one @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76,plain,
sk__5 != sk__5,
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl25,zip_derived_cl26,zip_derived_cl28]) ).
thf(zip_derived_cl77,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU032+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.e0KKBjmQvX 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 : Wed Aug 23 12:30:03 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.14/0.82 % Solved by fo/fo4.sh.
% 1.14/0.82 % done 44 iterations in 0.018s
% 1.14/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.14/0.82 % SZS output start Refutation
% See solution above
% 1.14/0.82
% 1.14/0.82
% 1.14/0.82 % Terminating...
% 1.45/0.85 % Runner terminated.
% 1.45/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------