TSTP Solution File: SEU743^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU743^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Y9fYNkRTln 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 19:16:57 EDT 2023
% Result : Theorem 30.71s 4.68s
% Output : Refutation 30.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 18
% Syntax : Number of formulae : 21 ( 9 unt; 8 typ; 0 def)
% Number of atoms : 146 ( 8 equ; 0 cnn)
% Maximal formula atoms : 41 ( 11 avg)
% Number of connectives : 518 ( 2 ~; 0 |; 0 &; 399 @)
% ( 0 <=>; 98 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 6 con; 0-2 aty)
% ( 19 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 91 ( 19 ^; 72 !; 0 ?; 91 :)
% Comments :
%------------------------------------------------------------------------------
thf(binintersectT_lem_type,type,
binintersectT_lem: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(binunionT_lem_type,type,
binunionT_lem: $o ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(inIntersectImpInIntersectUnions_type,type,
inIntersectImpInIntersectUnions: $o ).
thf(powersetTI1_type,type,
powersetTI1: $o ).
thf(inIntersectImpInIntersectUnions,axiom,
( inIntersectImpInIntersectUnions
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Z: $i] :
( ( in @ Z @ ( powerset @ A ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ ( binintersect @ X @ Y ) )
=> ( in @ Xx @ ( binintersect @ ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ) ).
thf('0',plain,
( inIntersectImpInIntersectUnions
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ! [X10: $i] :
( ( in @ X10 @ ( powerset @ X4 ) )
=> ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) )
=> ( in @ X12 @ ( binintersect @ ( binunion @ X6 @ X10 ) @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(powersetTI1,axiom,
( powersetTI1
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ X )
=> ( in @ Xx @ Y ) ) )
=> ( in @ X @ ( powerset @ Y ) ) ) ) ) ) ) ).
thf('1',plain,
( powersetTI1
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ( in @ X10 @ X6 )
=> ( in @ X10 @ X8 ) ) )
=> ( in @ X6 @ ( powerset @ X8 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(binunionT_lem,axiom,
( binunionT_lem
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( in @ ( binunion @ X @ Y ) @ ( powerset @ A ) ) ) ) ) ) ).
thf('2',plain,
( binunionT_lem
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( in @ ( binunion @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) ),
define([status(thm)]) ).
thf(binintersectT_lem,axiom,
( binintersectT_lem
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( in @ ( binintersect @ X @ Y ) @ ( powerset @ A ) ) ) ) ) ) ).
thf('3',plain,
( binintersectT_lem
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( in @ ( binintersect @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) ),
define([status(thm)]) ).
thf(intersectInPowersetIntersectUnions,conjecture,
( binintersectT_lem
=> ( binunionT_lem
=> ( powersetTI1
=> ( inIntersectImpInIntersectUnions
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Z: $i] :
( ( in @ Z @ ( powerset @ A ) )
=> ( in @ ( binintersect @ X @ Y ) @ ( powerset @ ( binintersect @ ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( in @ ( binintersect @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) )
=> ( ! [X10: $i,X12: $i] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ! [X14: $i] :
( ( in @ X14 @ ( powerset @ X10 ) )
=> ( in @ ( binunion @ X12 @ X14 ) @ ( powerset @ X10 ) ) ) )
=> ( ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ! [X20: $i] :
( ( in @ X20 @ ( powerset @ X16 ) )
=> ( ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ( ( in @ X22 @ X18 )
=> ( in @ X22 @ X20 ) ) )
=> ( in @ X18 @ ( powerset @ X20 ) ) ) ) )
=> ( ! [X24: $i,X26: $i] :
( ( in @ X26 @ ( powerset @ X24 ) )
=> ! [X28: $i] :
( ( in @ X28 @ ( powerset @ X24 ) )
=> ! [X30: $i] :
( ( in @ X30 @ ( powerset @ X24 ) )
=> ! [X32: $i] :
( ( in @ X32 @ X24 )
=> ( ( in @ X32 @ ( binintersect @ X26 @ X28 ) )
=> ( in @ X32 @ ( binintersect @ ( binunion @ X26 @ X30 ) @ ( binunion @ X28 @ X30 ) ) ) ) ) ) ) )
=> ! [X34: $i,X36: $i] :
( ( in @ X36 @ ( powerset @ X34 ) )
=> ! [X38: $i] :
( ( in @ X38 @ ( powerset @ X34 ) )
=> ! [X40: $i] :
( ( in @ X40 @ ( powerset @ X34 ) )
=> ( in @ ( binintersect @ X36 @ X38 ) @ ( powerset @ ( binintersect @ ( binunion @ X36 @ X40 ) @ ( binunion @ X38 @ X40 ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( in @ ( binintersect @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) )
=> ( ! [X10: $i,X12: $i] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ! [X14: $i] :
( ( in @ X14 @ ( powerset @ X10 ) )
=> ( in @ ( binunion @ X12 @ X14 ) @ ( powerset @ X10 ) ) ) )
=> ( ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ! [X20: $i] :
( ( in @ X20 @ ( powerset @ X16 ) )
=> ( ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ( ( in @ X22 @ X18 )
=> ( in @ X22 @ X20 ) ) )
=> ( in @ X18 @ ( powerset @ X20 ) ) ) ) )
=> ( ! [X24: $i,X26: $i] :
( ( in @ X26 @ ( powerset @ X24 ) )
=> ! [X28: $i] :
( ( in @ X28 @ ( powerset @ X24 ) )
=> ! [X30: $i] :
( ( in @ X30 @ ( powerset @ X24 ) )
=> ! [X32: $i] :
( ( in @ X32 @ X24 )
=> ( ( in @ X32 @ ( binintersect @ X26 @ X28 ) )
=> ( in @ X32 @ ( binintersect @ ( binunion @ X26 @ X30 ) @ ( binunion @ X28 @ X30 ) ) ) ) ) ) ) )
=> ! [X34: $i,X36: $i] :
( ( in @ X36 @ ( powerset @ X34 ) )
=> ! [X38: $i] :
( ( in @ X38 @ ( powerset @ X34 ) )
=> ! [X40: $i] :
( ( in @ X40 @ ( powerset @ X34 ) )
=> ( in @ ( binintersect @ X36 @ X38 ) @ ( powerset @ ( binintersect @ ( binunion @ X36 @ X40 ) @ ( binunion @ X38 @ X40 ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( in @ ( binintersect @ Y1 @ Y2 ) @ ( powerset @ Y0 ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( in @ ( binunion @ Y1 @ Y2 ) @ ( powerset @ Y0 ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( in @ Y3 @ Y1 )
=> ( in @ Y3 @ Y2 ) ) ) )
=> ( in @ Y1 @ ( powerset @ Y2 ) ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
=> ( ( in @ Y4 @ ( binintersect @ Y1 @ Y2 ) )
=> ( in @ Y4 @ ( binintersect @ ( binunion @ Y1 @ Y3 ) @ ( binunion @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( in @ ( binintersect @ Y1 @ Y2 ) @ ( powerset @ ( binintersect @ ( binunion @ Y1 @ Y3 ) @ ( binunion @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl25506,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU743^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Y9fYNkRTln true
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 16:42:54 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in HO mode
% 0.23/0.65 % Total configuration time : 828
% 0.23/0.65 % Estimated wc time : 1656
% 0.23/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 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/15_e_short1.sh running for 30s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.12/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.12/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.43/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 30.71/4.68 % Solved by lams/15_e_short1.sh.
% 30.71/4.68 % done 528 iterations in 3.834s
% 30.71/4.68 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 30.71/4.68 % SZS output start Refutation
% See solution above
% 30.71/4.68
% 30.71/4.68
% 30.71/4.68 % Terminating...
% 31.17/4.82 % Runner terminated.
% 31.17/4.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------