TSTP Solution File: SEU458^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU458^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nJcKJYKOR6 true
% Computer : n010.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 19:13:10 EDT 2023
% Result : Theorem 0.23s 0.78s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 10 unt; 5 typ; 0 def)
% Number of atoms : 31 ( 9 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 86 ( 7 ~; 13 |; 0 &; 64 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 44 ( 44 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 21 ( 12 ^; 9 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(sc_type,type,
sc: ( $i > $i > $o ) > $i > $i > $o ).
thf(idem_type,type,
idem: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf(sk__10_type,type,
sk__10: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(symmetric_closure,axiom,
( sc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
( ( R @ Y @ X )
| ( R @ X @ Y ) ) ) ) ).
thf('0',plain,
( sc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
( ( R @ Y @ X )
| ( R @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[symmetric_closure]) ).
thf('1',plain,
( sc
= ( ^ [V_1: $i > $i > $o,V_2: $i,V_3: $i] :
( ( V_1 @ V_3 @ V_2 )
| ( V_1 @ V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(idempotent,axiom,
( idem
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o] :
( ( F @ ( F @ R ) )
= ( F @ R ) ) ) ) ).
thf('2',plain,
( idem
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o] :
( ( F @ ( F @ R ) )
= ( F @ R ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[idempotent]) ).
thf('3',plain,
( idem
= ( ^ [V_1: ( $i > $i > $o ) > $i > $i > $o] :
! [X4: $i > $i > $o] :
( ( V_1 @ ( V_1 @ X4 ) )
= ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(symmetric_closure_op_is_idempotent,conjecture,
idem @ sc ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,V_3: $i,V_4: $i] :
( ( ( X4 @ V_3 @ V_4 )
| ( X4 @ V_4 @ V_3 ) )
<=> ( ( X4 @ V_4 @ V_3 )
| ( X4 @ V_3 @ V_4 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,V_3: $i,V_4: $i] :
( ( ( X4 @ V_3 @ V_4 )
| ( X4 @ V_4 @ V_3 ) )
<=> ( ( X4 @ V_4 @ V_3 )
| ( X4 @ V_3 @ V_4 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
( ~ ( sk__10 @ sk__11 @ sk__12 )
| ~ ( sk__10 @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
~ ( sk__10 @ sk__11 @ sk__12 ),
inference(simplify,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl0,plain,
( ( sk__10 @ sk__11 @ sk__12 )
| ( sk__10 @ sk__12 @ sk__11 )
| ( sk__10 @ sk__12 @ sk__11 )
| ( sk__10 @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
( ( sk__10 @ sk__12 @ sk__11 )
| ( sk__10 @ sk__11 @ sk__12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( ~ ( sk__10 @ sk__12 @ sk__11 )
| ~ ( sk__10 @ sk__12 @ sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
~ ( sk__10 @ sk__12 @ sk__11 ),
inference(simplify,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
sk__10 @ sk__11 @ sk__12,
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU458^1 : TPTP v8.1.2. Released v3.6.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nJcKJYKOR6 true
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 23 18:08:51 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.36 % Number of cores: 8
% 0.22/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % Running in HO mode
% 0.23/0.67 % Total configuration time : 828
% 0.23/0.67 % Estimated wc time : 1656
% 0.23/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.78 % Solved by lams/40_c.s.sh.
% 0.23/0.78 % done 4 iterations in 0.015s
% 0.23/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.23/0.78 % SZS output start Refutation
% See solution above
% 0.23/0.78
% 0.23/0.78
% 0.23/0.78 % Terminating...
% 1.61/0.87 % Runner terminated.
% 1.61/0.89 % Zipperpin 1.5 exiting
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