TSTP Solution File: SEU805^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU805^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZQigE8K5K6 true
% Computer : n017.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 19:18:02 EDT 2023
% Result : Theorem 0.22s 0.79s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of formulae : 39 ( 14 unt; 11 typ; 0 def)
% Number of atoms : 97 ( 35 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 221 ( 29 ~; 12 |; 15 &; 141 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 63 ( 3 ^; 37 !; 23 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
thf(disjointsetsI1_type,type,
disjointsetsI1: $o ).
thf(sk__11_type,type,
sk__11: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(foundationAx_type,type,
foundationAx: $o ).
thf(nonemptyE1_type,type,
nonemptyE1: $o ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(nonempty_type,type,
nonempty: $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf(disjointsetsI1,axiom,
( disjointsetsI1
= ( ! [A: $i,B: $i] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ B )
& ( in @ Xx @ A ) )
=> ( ( binintersect @ A @ B )
= emptyset ) ) ) ) ).
thf('0',plain,
( disjointsetsI1
= ( ! [X4: $i,X6: $i] :
( ~ ? [X8: $i] :
( ( in @ X8 @ X6 )
& ( in @ X8 @ X4 ) )
=> ( ( binintersect @ X4 @ X6 )
= emptyset ) ) ) ),
define([status(thm)]) ).
thf(nonemptyE1,axiom,
( nonemptyE1
= ( ! [A: $i] :
( ( nonempty @ A )
=> ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
thf('1',plain,
( nonemptyE1
= ( ! [X4: $i] :
( ( nonempty @ X4 )
=> ? [X6: $i] : ( in @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(nonempty,axiom,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
thf('2',plain,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ),
inference(simplify_rw_rule,[status(thm)],[nonempty]) ).
thf('3',plain,
( nonempty
= ( ^ [V_1: $i] : ( V_1 != emptyset ) ) ),
define([status(thm)]) ).
thf(foundationAx,axiom,
( foundationAx
= ( ! [A: $i] :
( ? [Xx: $i] : ( in @ Xx @ A )
=> ? [B: $i] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( in @ Xx @ B ) )
& ( in @ B @ A ) ) ) ) ) ).
thf('4',plain,
( foundationAx
= ( ! [X4: $i] :
( ? [X6: $i] : ( in @ X6 @ X4 )
=> ? [X8: $i] :
( ~ ? [X10: $i] :
( ( in @ X10 @ X4 )
& ( in @ X10 @ X8 ) )
& ( in @ X8 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(foundation2,conjecture,
( foundationAx
=> ( nonemptyE1
=> ( disjointsetsI1
=> ! [A: $i] :
( ( nonempty @ A )
=> ? [X: $i] :
( ( ( binintersect @ X @ A )
= emptyset )
& ( in @ X @ A ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i] :
( ? [X6: $i] : ( in @ X6 @ X4 )
=> ? [X8: $i] :
( ~ ? [X10: $i] :
( ( in @ X10 @ X4 )
& ( in @ X10 @ X8 ) )
& ( in @ X8 @ X4 ) ) )
=> ( ! [X12: $i] :
( ( X12 != emptyset )
=> ? [X14: $i] : ( in @ X14 @ X12 ) )
=> ( ! [X16: $i,X18: $i] :
( ~ ? [X20: $i] :
( ( in @ X20 @ X18 )
& ( in @ X20 @ X16 ) )
=> ( ( binintersect @ X16 @ X18 )
= emptyset ) )
=> ! [X22: $i] :
( ( X22 != emptyset )
=> ? [X24: $i] :
( ( ( binintersect @ X24 @ X22 )
= emptyset )
& ( in @ X24 @ X22 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i] :
( ? [X6: $i] : ( in @ X6 @ X4 )
=> ? [X8: $i] :
( ~ ? [X10: $i] :
( ( in @ X10 @ X4 )
& ( in @ X10 @ X8 ) )
& ( in @ X8 @ X4 ) ) )
=> ( ! [X12: $i] :
( ( X12 != emptyset )
=> ? [X14: $i] : ( in @ X14 @ X12 ) )
=> ( ! [X16: $i,X18: $i] :
( ~ ? [X20: $i] :
( ( in @ X20 @ X18 )
& ( in @ X20 @ X16 ) )
=> ( ( binintersect @ X16 @ X18 )
= emptyset ) )
=> ! [X22: $i] :
( ( X22 != emptyset )
=> ? [X24: $i] :
( ( ( binintersect @ X24 @ X22 )
= emptyset )
& ( in @ X24 @ X22 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
! [X6: $i] :
( ( in @ ( sk__9 @ X6 ) @ X6 )
| ( X6 = emptyset ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X1: $i,X2: $i] :
( ( in @ ( sk__12 @ X1 ) @ X1 )
| ~ ( in @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( X0 = emptyset )
| ( in @ ( sk__12 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).
thf(zip_derived_cl2,plain,
! [X3: $i,X4: $i] :
( ( ( binintersect @ X3 @ X4 )
= emptyset )
| ( in @ ( sk__11 @ X4 @ X3 ) @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X3: $i,X4: $i] :
( ( ( binintersect @ X3 @ X4 )
= emptyset )
| ( in @ ( sk__11 @ X4 @ X3 ) @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( sk__12 @ X1 ) )
| ~ ( in @ X0 @ X1 )
| ~ ( in @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__12 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( ( binintersect @ ( sk__12 @ X0 ) @ X1 )
= emptyset )
| ~ ( in @ ( sk__11 @ X1 @ ( sk__12 @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl17]) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ( ( binintersect @ ( sk__12 @ X0 ) @ X0 )
= emptyset )
| ( ( binintersect @ ( sk__12 @ X0 ) @ X0 )
= emptyset ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl19]) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ( binintersect @ ( sk__12 @ X0 ) @ X0 )
= emptyset ),
inference(simplify,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl4,plain,
! [X5: $i] :
( ( ( binintersect @ X5 @ sk__10 )
!= emptyset )
| ~ ( in @ X5 @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl54,plain,
( ( emptyset != emptyset )
| ~ ( in @ ( sk__12 @ sk__10 ) @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl4]) ).
thf(zip_derived_cl56,plain,
~ ( in @ ( sk__12 @ sk__10 ) @ sk__10 ),
inference(simplify,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl59,plain,
sk__10 = emptyset,
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl56]) ).
thf(zip_derived_cl5,plain,
sk__10 != emptyset,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl66,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl59,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU805^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZQigE8K5K6 true
% 0.14/0.35 % Computer : n017.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 : Thu Aug 24 00:59:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.62 % Total configuration time : 828
% 0.22/0.62 % Estimated wc time : 1656
% 0.22/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.79 % Solved by lams/40_c.s.sh.
% 0.22/0.79 % done 32 iterations in 0.022s
% 0.22/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.79 % SZS output start Refutation
% See solution above
% 0.22/0.79
% 0.22/0.79
% 0.22/0.79 % Terminating...
% 0.22/0.84 % Runner terminated.
% 0.22/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------