TSTP Solution File: SET676+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET676+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.E3tM9ExRBE true
% Computer : n005.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 16:15:32 EDT 2023
% Result : Theorem 0.18s 0.67s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 9 unt; 6 typ; 0 def)
% Number of atoms : 29 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 110 ( 8 ~; 6 |; 0 &; 89 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(identity_relation_of_type_type,type,
identity_relation_of_type: $i > $i ).
thf(set_type_type,type,
set_type: $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(prove_relset_1_41,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ilf_type @ ( cross_product @ B @ B ) @ ( identity_relation_of_type @ B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ilf_type @ ( cross_product @ B @ B ) @ ( identity_relation_of_type @ B ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_41]) ).
thf(zip_derived_cl40,plain,
~ ( ilf_type @ ( cross_product @ sk__11 @ sk__11 ) @ ( identity_relation_of_type @ sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ilf_type @ ( cross_product @ B @ C ) @ ( relation_type @ B @ C ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ilf_type @ ( cross_product @ X1 @ X0 ) @ ( relation_type @ X1 @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(p19,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl38,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl38_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl374,plain,
! [X0: $i,X1: $i] : ( ilf_type @ ( cross_product @ X1 @ X0 ) @ ( relation_type @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl38,zip_derived_cl38]) ).
thf(p4,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( ilf_type @ C @ ( identity_relation_of_type @ B ) )
<=> ( ilf_type @ C @ ( relation_type @ B @ B ) ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X0 @ ( relation_type @ X1 @ X1 ) )
| ( ilf_type @ X0 @ ( identity_relation_of_type @ X1 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p4]) ).
thf(zip_derived_cl38_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl38_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl431,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ ( relation_type @ X1 @ X1 ) )
| ( ilf_type @ X0 @ ( identity_relation_of_type @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl38,zip_derived_cl38]) ).
thf(zip_derived_cl432,plain,
! [X0: $i] : ( ilf_type @ ( cross_product @ X0 @ X0 ) @ ( identity_relation_of_type @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl431]) ).
thf(zip_derived_cl433,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl432]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SET676+3 : TPTP v8.1.2. Released v2.2.0.
% 0.09/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.E3tM9ExRBE true
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 12:11:38 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.18/0.53 % Total configuration time : 435
% 0.18/0.53 % Estimated wc time : 1092
% 0.18/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.62 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.65 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.66 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.66 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.66 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.66 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.18/0.66 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.67 % Solved by fo/fo6_bce.sh.
% 0.18/0.67 % BCE start: 41
% 0.18/0.67 % BCE eliminated: 0
% 0.18/0.67 % PE start: 41
% 0.18/0.67 logic: eq
% 0.18/0.67 % PE eliminated: 0
% 0.18/0.67 % done 37 iterations in 0.037s
% 0.18/0.67 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.18/0.67 % SZS output start Refutation
% See solution above
% 0.18/0.67
% 0.18/0.67
% 0.18/0.67 % Terminating...
% 1.53/0.77 % Runner terminated.
% 1.73/0.78 % Zipperpin 1.5 exiting
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