TSTP Solution File: SEU472^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU472^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sN4MPkK6c5 true
% Computer : n011.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 19:13:14 EDT 2023
% Result : Theorem 0.21s 0.80s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 27
% Syntax : Number of formulae : 40 ( 25 unt; 11 typ; 0 def)
% Number of atoms : 75 ( 28 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 197 ( 3 ~; 13 |; 14 &; 144 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 120 ( 120 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 95 ( 42 ^; 53 !; 0 ?; 95 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__12_type,type,
sk__12: $i ).
thf(subrel_type,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(sc_type,type,
sc: ( $i > $i > $o ) > $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__10_type,type,
sk__10: $i > $i > $o ).
thf(trsc_type,type,
trsc: ( $i > $i > $o ) > $i > $i > $o ).
thf(tc_type,type,
tc: ( $i > $i > $o ) > $i > $i > $o ).
thf(trans_type,type,
trans: ( $i > $i > $o ) > $o ).
thf(sk__13_type,type,
sk__13: $i > $i > $o ).
thf(rc_type,type,
rc: ( $i > $i > $o ) > $i > $i > $o ).
thf(infl_type,type,
infl: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf(transitive_reflexive_symmetric_closure,axiom,
( trsc
= ( ^ [R: $i > $i > $o] : ( sc @ ( rc @ ( tc @ R ) ) ) ) ) ).
thf(transitive_closure,axiom,
( tc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
! [S: $i > $i > $o] :
( ( ( trans @ S )
& ( subrel @ R @ S ) )
=> ( S @ X @ Y ) ) ) ) ).
thf(transitive,axiom,
( trans
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ) ).
thf('0',plain,
( trans
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitive]) ).
thf('1',plain,
( trans
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X6 @ X8 ) )
=> ( V_1 @ X4 @ X8 ) ) ) ),
define([status(thm)]) ).
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,
( tc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
! [S: $i > $i > $o] :
( ( ( trans @ S )
& ( subrel @ R @ S ) )
=> ( S @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitive_closure,'1','3']) ).
thf('5',plain,
( tc
= ( ^ [V_1: $i > $i > $o,V_2: $i,V_3: $i] :
! [X4: $i > $i > $o] :
( ( ( trans @ X4 )
& ( subrel @ V_1 @ X4 ) )
=> ( X4 @ V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(symmetric_closure,axiom,
( sc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
( ( R @ Y @ X )
| ( R @ X @ Y ) ) ) ) ).
thf('6',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('7',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(reflexive_closure,axiom,
( rc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
( ( X = Y )
| ( R @ X @ Y ) ) ) ) ).
thf('8',plain,
( rc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
( ( X = Y )
| ( R @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[reflexive_closure]) ).
thf('9',plain,
( rc
= ( ^ [V_1: $i > $i > $o,V_2: $i,V_3: $i] :
( ( V_2 = V_3 )
| ( V_1 @ V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf('10',plain,
( trsc
= ( ^ [R: $i > $i > $o] : ( sc @ ( rc @ ( tc @ R ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitive_reflexive_symmetric_closure,'5','1','7','9','3']) ).
thf('11',plain,
( trsc
= ( ^ [V_1: $i > $i > $o] : ( sc @ ( rc @ ( tc @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(inflationary,axiom,
( infl
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o] : ( subrel @ R @ ( F @ R ) ) ) ) ).
thf('12',plain,
( infl
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o] : ( subrel @ R @ ( F @ R ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[inflationary,'3']) ).
thf('13',plain,
( infl
= ( ^ [V_1: ( $i > $i > $o ) > $i > $i > $o] :
! [X4: $i > $i > $o] : ( subrel @ X4 @ ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(transitive_reflexive_symmetric_closure_op_is_inflationary,conjecture,
infl @ trsc ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,X6: $i,X8: $i] :
( ( X4 @ X6 @ X8 )
=> ( ( X8 = X6 )
| ! [X10: $i > $i > $o] :
( ( ! [X12: $i,X14: $i,X16: $i] :
( ( ( X10 @ X12 @ X14 )
& ( X10 @ X14 @ X16 ) )
=> ( X10 @ X12 @ X16 ) )
& ! [X18: $i,X20: $i] :
( ( X4 @ X18 @ X20 )
=> ( X10 @ X18 @ X20 ) ) )
=> ( X10 @ X8 @ X6 ) )
| ( X6 = X8 )
| ! [X22: $i > $i > $o] :
( ( ! [X24: $i,X26: $i,X28: $i] :
( ( ( X22 @ X24 @ X26 )
& ( X22 @ X26 @ X28 ) )
=> ( X22 @ X24 @ X28 ) )
& ! [X30: $i,X32: $i] :
( ( X4 @ X30 @ X32 )
=> ( X22 @ X30 @ X32 ) ) )
=> ( X22 @ X6 @ X8 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,X6: $i,X8: $i] :
( ( X4 @ X6 @ X8 )
=> ( ( X8 = X6 )
| ! [X10: $i > $i > $o] :
( ( ! [X12: $i,X14: $i,X16: $i] :
( ( ( X10 @ X12 @ X14 )
& ( X10 @ X14 @ X16 ) )
=> ( X10 @ X12 @ X16 ) )
& ! [X18: $i,X20: $i] :
( ( X4 @ X18 @ X20 )
=> ( X10 @ X18 @ X20 ) ) )
=> ( X10 @ X8 @ X6 ) )
| ( X6 = X8 )
| ! [X22: $i > $i > $o] :
( ( ! [X24: $i,X26: $i,X28: $i] :
( ( ( X22 @ X24 @ X26 )
& ( X22 @ X26 @ X28 ) )
=> ( X22 @ X24 @ X28 ) )
& ! [X30: $i,X32: $i] :
( ( X4 @ X30 @ X32 )
=> ( X22 @ X30 @ X32 ) ) )
=> ( X22 @ X6 @ X8 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
~ ( sk__13 @ sk__11 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X5: $i,X6: $i] :
( ( sk__13 @ X5 @ X6 )
| ~ ( sk__10 @ X5 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
sk__10 @ sk__11 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
sk__13 @ sk__11 @ sk__12,
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).
thf(zip_derived_cl17,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU472^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sN4MPkK6c5 true
% 0.15/0.35 % Computer : n011.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 : Thu Aug 24 00:52:22 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in HO mode
% 0.21/0.67 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.80 % Solved by lams/40_c.s.sh.
% 0.21/0.80 % done 11 iterations in 0.019s
% 0.21/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.80 % SZS output start Refutation
% See solution above
% 0.21/0.80
% 0.21/0.80
% 0.21/0.81 % Terminating...
% 0.57/0.87 % Runner terminated.
% 1.90/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------