TSTP Solution File: SEU460^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU460^1 : 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.AWOneVhDbI 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 19:13:11 EDT 2023
% Result : Theorem 0.20s 0.75s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of formulae : 28 ( 15 unt; 7 typ; 0 def)
% Number of atoms : 38 ( 9 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 118 ( 7 ~; 10 |; 0 &; 89 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 74 ( 74 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 46 ( 18 ^; 28 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(subrel_type,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(sc_type,type,
sc: ( $i > $i > $o ) > $i > $i > $o ).
thf(mono_type,type,
mono: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__12_type,type,
sk__12: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i > $i > $o ).
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(monotonic,axiom,
( mono
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o,S: $i > $i > $o] :
( ( subrel @ R @ S )
=> ( subrel @ ( F @ R ) @ ( F @ S ) ) ) ) ) ).
thf(subrel,axiom,
( subrel
= ( ^ [R: $i > $i > $o,S: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( S @ X @ Y ) ) ) ) ).
thf('2',plain,
( subrel
= ( ^ [R: $i > $i > $o,S: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( S @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[subrel]) ).
thf('3',plain,
( subrel
= ( ^ [V_1: $i > $i > $o,V_2: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_2 @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf('4',plain,
( mono
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o,S: $i > $i > $o] :
( ( subrel @ R @ S )
=> ( subrel @ ( F @ R ) @ ( F @ S ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[monotonic,'3']) ).
thf('5',plain,
( mono
= ( ^ [V_1: ( $i > $i > $o ) > $i > $i > $o] :
! [X4: $i > $i > $o,X6: $i > $i > $o] :
( ( subrel @ X4 @ X6 )
=> ( subrel @ ( V_1 @ X4 ) @ ( V_1 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(symmetric_closure_op_is_monotonic,conjecture,
mono @ sc ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,X6: $i > $i > $o] :
( ! [X8: $i,X10: $i] :
( ( X4 @ X8 @ X10 )
=> ( X6 @ X8 @ X10 ) )
=> ! [X12: $i,X14: $i] :
( ( ( X4 @ X14 @ X12 )
| ( X4 @ X12 @ X14 ) )
=> ( ( X6 @ X14 @ X12 )
| ( X6 @ X12 @ X14 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,X6: $i > $i > $o] :
( ! [X8: $i,X10: $i] :
( ( X4 @ X8 @ X10 )
=> ( X6 @ X8 @ X10 ) )
=> ! [X12: $i,X14: $i] :
( ( ( X4 @ X14 @ X12 )
| ( X4 @ X12 @ X14 ) )
=> ( ( X6 @ X14 @ X12 )
| ( X6 @ X12 @ X14 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( sk__12 @ X0 @ X1 )
| ~ ( sk__11 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( sk__12 @ sk__13 @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
~ ( sk__11 @ sk__13 @ sk__14 ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ( sk__11 @ sk__14 @ sk__13 )
| ( sk__11 @ sk__13 @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i] :
( ( sk__12 @ X0 @ X1 )
| ~ ( sk__11 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( sk__12 @ sk__14 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
~ ( sk__11 @ sk__14 @ sk__13 ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
sk__11 @ sk__13 @ sk__14,
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU460^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AWOneVhDbI true
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Aug 23 13:15:06 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox2/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 HO mode
% 0.20/0.63 % Total configuration time : 828
% 0.20/0.63 % Estimated wc time : 1656
% 0.20/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.75 % Solved by lams/40_c.s.sh.
% 0.20/0.75 % done 6 iterations in 0.016s
% 0.20/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.75 % SZS output start Refutation
% See solution above
% 0.20/0.75
% 0.20/0.75
% 0.20/0.75 % Terminating...
% 1.58/0.84 % Runner terminated.
% 1.58/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------