TSTP Solution File: SEU742^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU742^2 : 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.KQwt1XrXzW true
% Computer : n014.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 19:16:56 EDT 2023
% Result : Theorem 1.32s 0.79s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 46 ( 20 unt; 12 typ; 0 def)
% Number of atoms : 148 ( 6 equ; 0 cnn)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 565 ( 36 ~; 30 |; 0 &; 427 @)
% ( 0 <=>; 72 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 88 ( 0 ^; 88 !; 0 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
thf(binintersectI_type,type,
binintersectI: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(inIntersectImpInUnion_type,type,
inIntersectImpInUnion: $o ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(inIntersectImpInUnion2_type,type,
inIntersectImpInUnion2: $o ).
thf(inIntersectImpInUnion2,axiom,
( inIntersectImpInUnion2
= ( ! [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 @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ).
thf('0',plain,
( inIntersectImpInUnion2
= ( ! [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 @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(inIntersectImpInUnion,axiom,
( inIntersectImpInUnion
= ( ! [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 @ ( binunion @ X @ Z ) ) ) ) ) ) ) ) ) ).
thf('1',plain,
( inIntersectImpInUnion
= ( ! [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 @ ( binunion @ X6 @ X10 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(binintersectI,axiom,
( binintersectI
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) ) ) ).
thf('2',plain,
( binintersectI
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(inIntersectImpInIntersectUnions,conjecture,
( binintersectI
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ! [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(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) )
=> ( ! [X10: $i,X12: $i] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ! [X14: $i] :
( ( in @ X14 @ ( powerset @ X10 ) )
=> ! [X16: $i] :
( ( in @ X16 @ ( powerset @ X10 ) )
=> ! [X18: $i] :
( ( in @ X18 @ X10 )
=> ( ( in @ X18 @ ( binintersect @ X12 @ X14 ) )
=> ( in @ X18 @ ( binunion @ X12 @ X16 ) ) ) ) ) ) )
=> ( ! [X20: $i,X22: $i] :
( ( in @ X22 @ ( powerset @ X20 ) )
=> ! [X24: $i] :
( ( in @ X24 @ ( powerset @ X20 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X20 ) )
=> ! [X28: $i] :
( ( in @ X28 @ X20 )
=> ( ( in @ X28 @ ( binintersect @ X22 @ X24 ) )
=> ( in @ X28 @ ( binunion @ X24 @ X26 ) ) ) ) ) ) )
=> ! [X30: $i,X32: $i] :
( ( in @ X32 @ ( powerset @ X30 ) )
=> ! [X34: $i] :
( ( in @ X34 @ ( powerset @ X30 ) )
=> ! [X36: $i] :
( ( in @ X36 @ ( powerset @ X30 ) )
=> ! [X38: $i] :
( ( in @ X38 @ X30 )
=> ( ( in @ X38 @ ( binintersect @ X32 @ X34 ) )
=> ( in @ X38 @ ( binintersect @ ( binunion @ X32 @ X36 ) @ ( binunion @ X34 @ X36 ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) )
=> ( ! [X10: $i,X12: $i] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ! [X14: $i] :
( ( in @ X14 @ ( powerset @ X10 ) )
=> ! [X16: $i] :
( ( in @ X16 @ ( powerset @ X10 ) )
=> ! [X18: $i] :
( ( in @ X18 @ X10 )
=> ( ( in @ X18 @ ( binintersect @ X12 @ X14 ) )
=> ( in @ X18 @ ( binunion @ X12 @ X16 ) ) ) ) ) ) )
=> ( ! [X20: $i,X22: $i] :
( ( in @ X22 @ ( powerset @ X20 ) )
=> ! [X24: $i] :
( ( in @ X24 @ ( powerset @ X20 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X20 ) )
=> ! [X28: $i] :
( ( in @ X28 @ X20 )
=> ( ( in @ X28 @ ( binintersect @ X22 @ X24 ) )
=> ( in @ X28 @ ( binunion @ X24 @ X26 ) ) ) ) ) ) )
=> ! [X30: $i,X32: $i] :
( ( in @ X32 @ ( powerset @ X30 ) )
=> ! [X34: $i] :
( ( in @ X34 @ ( powerset @ X30 ) )
=> ! [X36: $i] :
( ( in @ X36 @ ( powerset @ X30 ) )
=> ! [X38: $i] :
( ( in @ X38 @ X30 )
=> ( ( in @ X38 @ ( binintersect @ X32 @ X34 ) )
=> ( in @ X38 @ ( binintersect @ ( binunion @ X32 @ X36 ) @ ( binunion @ X34 @ X36 ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
in @ sk__14 @ ( powerset @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
in @ sk__17 @ ( binintersect @ sk__14 @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( in @ X3 @ ( powerset @ X4 ) )
| ~ ( in @ X5 @ X4 )
| ( in @ X5 @ ( binunion @ X3 @ X6 ) )
| ~ ( in @ X5 @ ( binintersect @ X7 @ X3 ) )
| ~ ( in @ X6 @ ( powerset @ X4 ) )
| ~ ( in @ X7 @ ( powerset @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ sk__14 @ ( powerset @ X0 ) )
| ~ ( in @ X1 @ ( powerset @ X0 ) )
| ( in @ sk__17 @ ( binunion @ sk__15 @ X1 ) )
| ~ ( in @ sk__17 @ X0 )
| ~ ( in @ sk__15 @ ( powerset @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ~ ( in @ sk__15 @ ( powerset @ sk__13 ) )
| ~ ( in @ sk__17 @ sk__13 )
| ( in @ sk__17 @ ( binunion @ sk__15 @ X0 ) )
| ~ ( in @ X0 @ ( powerset @ sk__13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl11]) ).
thf(zip_derived_cl2,plain,
in @ sk__15 @ ( powerset @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
in @ sk__17 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ( in @ sk__17 @ ( binunion @ sk__15 @ X0 ) )
| ~ ( in @ X0 @ ( powerset @ sk__13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl7_001,plain,
in @ sk__14 @ ( powerset @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_002,plain,
in @ sk__17 @ ( binintersect @ sk__14 @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( ~ ( in @ X8 @ ( powerset @ X9 ) )
| ~ ( in @ X10 @ X9 )
| ( in @ X10 @ ( binunion @ X11 @ X12 ) )
| ~ ( in @ X10 @ ( binintersect @ X11 @ X8 ) )
| ~ ( in @ X12 @ ( powerset @ X9 ) )
| ~ ( in @ X11 @ ( powerset @ X9 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ sk__14 @ ( powerset @ X0 ) )
| ~ ( in @ X1 @ ( powerset @ X0 ) )
| ( in @ sk__17 @ ( binunion @ sk__14 @ X1 ) )
| ~ ( in @ sk__17 @ X0 )
| ~ ( in @ sk__15 @ ( powerset @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl8]) ).
thf(zip_derived_cl27,plain,
! [X0: $i] :
( ~ ( in @ sk__15 @ ( powerset @ sk__13 ) )
| ~ ( in @ sk__17 @ sk__13 )
| ( in @ sk__17 @ ( binunion @ sk__14 @ X0 ) )
| ~ ( in @ X0 @ ( powerset @ sk__13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl21]) ).
thf(zip_derived_cl2_003,plain,
in @ sk__15 @ ( powerset @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3_004,plain,
in @ sk__17 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ( in @ sk__17 @ ( binunion @ sk__14 @ X0 ) )
| ~ ( in @ X0 @ ( powerset @ sk__13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ ( binintersect @ X2 @ X1 ) )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
~ ( in @ sk__17 @ ( binintersect @ ( binunion @ sk__14 @ sk__16 ) @ ( binunion @ sk__15 @ sk__16 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
( ~ ( in @ sk__17 @ ( binunion @ sk__14 @ sk__16 ) )
| ~ ( in @ sk__17 @ ( binunion @ sk__15 @ sk__16 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
thf(zip_derived_cl31,plain,
( ~ ( in @ sk__16 @ ( powerset @ sk__13 ) )
| ~ ( in @ sk__17 @ ( binunion @ sk__15 @ sk__16 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl9]) ).
thf(zip_derived_cl6,plain,
in @ sk__16 @ ( powerset @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl33,plain,
~ ( in @ sk__17 @ ( binunion @ sk__15 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl6]) ).
thf(zip_derived_cl35,plain,
~ ( in @ sk__16 @ ( powerset @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl33]) ).
thf(zip_derived_cl6_005,plain,
in @ sk__16 @ ( powerset @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl37,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU742^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KQwt1XrXzW true
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 23:42:04 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
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.65 % Total configuration time : 828
% 0.21/0.65 % Estimated wc time : 1656
% 0.21/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.32/0.79 % Solved by lams/40_c.s.sh.
% 1.32/0.79 % done 17 iterations in 0.025s
% 1.32/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.32/0.79 % SZS output start Refutation
% See solution above
% 1.32/0.79
% 1.32/0.79
% 1.32/0.79 % Terminating...
% 1.32/0.85 % Runner terminated.
% 1.71/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------