TSTP Solution File: SEU630^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU630^2 : 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.JefSlKhtA3 true
% Computer : n016.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 19:15:00 EDT 2023
% Result : Theorem 1.47s 0.87s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 24
% Syntax : Number of formulae : 43 ( 16 unt; 14 typ; 0 def)
% Number of atoms : 105 ( 23 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 635 ( 27 ~; 18 |; 16 &; 540 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 9 con; 0-2 aty)
% ( 0 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 97 ( 30 ^; 57 !; 10 ?; 97 :)
% Comments :
%------------------------------------------------------------------------------
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(ubforcartprodlem3_type,type,
ubforcartprodlem3: $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(ubforcartprodlem3,axiom,
( ubforcartprodlem3
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( in @ ( kpair @ Xx @ Xy ) @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ) ).
thf('0',plain,
( ubforcartprodlem3
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ! [X10: $i] :
( ( in @ X10 @ X6 )
=> ( in @ ( kpair @ X8 @ X10 ) @ ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(cartprod,axiom,
( cartprod
= ( ^ [A: $i,B: $i] :
( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) )
@ ^ [Xx: $i] :
? [Xy: $i] :
( ? [Xz: $i] :
( ( Xx
= ( kpair @ Xy @ Xz ) )
& ( in @ Xz @ B ) )
& ( in @ Xy @ A ) ) ) ) ) ).
thf(kpair,axiom,
( kpair
= ( ^ [Xx: $i,Xy: $i] : ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ).
thf('1',plain,
( kpair
= ( ^ [Xx: $i,Xy: $i] : ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[kpair]) ).
thf('2',plain,
( kpair
= ( ^ [V_1: $i,V_2: $i] : ( setadjoin @ ( setadjoin @ V_1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ V_1 @ ( setadjoin @ V_2 @ emptyset ) ) @ emptyset ) ) ) ),
define([status(thm)]) ).
thf('3',plain,
( cartprod
= ( ^ [A: $i,B: $i] :
( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) )
@ ^ [Xx: $i] :
? [Xy: $i] :
( ? [Xz: $i] :
( ( Xx
= ( kpair @ Xy @ Xz ) )
& ( in @ Xz @ B ) )
& ( in @ Xy @ A ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cartprod,'2']) ).
thf('4',plain,
( cartprod
= ( ^ [V_1: $i,V_2: $i] :
( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ V_1 @ V_2 ) ) )
@ ^ [V_3: $i] :
? [X4: $i] :
( ? [X6: $i] :
( ( V_3
= ( kpair @ X4 @ X6 ) )
& ( in @ X6 @ V_2 ) )
& ( in @ X4 @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrI,axiom,
( dsetconstrI
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
thf('5',plain,
( dsetconstrI
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(cartprodpairin,conjecture,
( dsetconstrI
=> ( ubforcartprodlem3
=> ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ X10 )
=> ! [X16: $i] :
( ( in @ X16 @ X12 )
=> ( in @ ( setadjoin @ ( setadjoin @ X14 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X14 @ ( setadjoin @ X16 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X10 @ X12 ) ) ) ) ) )
=> ! [X18: $i,X20: $i,X22: $i] :
( ( in @ X22 @ X18 )
=> ! [X24: $i] :
( ( in @ X24 @ X20 )
=> ( in @ ( setadjoin @ ( setadjoin @ X22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X22 @ ( setadjoin @ X24 @ emptyset ) ) @ emptyset ) )
@ ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ X18 @ X20 ) ) )
@ ^ [V_2: $i] :
? [X26: $i] :
( ( in @ X26 @ X18 )
& ? [X28: $i] :
( ( in @ X28 @ X20 )
& ( V_2
= ( setadjoin @ ( setadjoin @ X26 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X26 @ ( setadjoin @ X28 @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ X10 )
=> ! [X16: $i] :
( ( in @ X16 @ X12 )
=> ( in @ ( setadjoin @ ( setadjoin @ X14 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X14 @ ( setadjoin @ X16 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X10 @ X12 ) ) ) ) ) )
=> ! [X18: $i,X20: $i,X22: $i] :
( ( in @ X22 @ X18 )
=> ! [X24: $i] :
( ( in @ X24 @ X20 )
=> ( in @ ( setadjoin @ ( setadjoin @ X22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X22 @ ( setadjoin @ X24 @ emptyset ) ) @ emptyset ) )
@ ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ X18 @ X20 ) ) )
@ ^ [V_2: $i] :
? [X26: $i] :
( ( in @ X26 @ X18 )
& ? [X28: $i] :
( ( in @ X28 @ X20 )
& ( V_2
= ( setadjoin @ ( setadjoin @ X26 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X26 @ ( setadjoin @ X28 @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
in @ sk__9 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
in @ sk__10 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( in @ X3 @ X4 )
| ( in @ ( setadjoin @ ( setadjoin @ X5 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X5 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X6 @ X4 ) ) ) )
| ~ ( in @ X5 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X1 )
| ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) )
| ~ ( in @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X1 )
| ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) )
| ~ ( in @ X1 @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( in @ ( setadjoin @ ( setadjoin @ sk__9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__9 @ ( setadjoin @ sk__10 @ emptyset ) ) @ emptyset ) )
@ ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ sk__7 @ sk__8 ) ) )
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__7 )
& ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ sk__8 )
& ( Y0
= ( setadjoin @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl57,plain,
( ~ ( in @ ( setadjoin @ ( setadjoin @ sk__9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__9 @ ( setadjoin @ sk__10 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sk__7 @ sk__8 ) ) ) )
| ~ ( ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__7 )
& ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ sk__8 )
& ( Y0
= ( setadjoin @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) ) ) ) ) ) )
@ ( setadjoin @ ( setadjoin @ sk__9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__9 @ ( setadjoin @ sk__10 @ emptyset ) ) @ emptyset ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl58,plain,
( ~ ( in @ ( setadjoin @ ( setadjoin @ sk__9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__9 @ ( setadjoin @ sk__10 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sk__7 @ sk__8 ) ) ) )
| ~ ( ??
@ ^ [Y0: $i] :
( ( in @ Y0 @ sk__7 )
& ( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__8 )
& ( ( setadjoin @ ( setadjoin @ sk__9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__9 @ ( setadjoin @ sk__10 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ sk__7 )
| ( ( setadjoin @ ( setadjoin @ sk__9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__9 @ ( setadjoin @ sk__10 @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) ) )
| ~ ( in @ X1 @ sk__8 )
| ~ ( in @ ( setadjoin @ ( setadjoin @ sk__9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__9 @ ( setadjoin @ sk__10 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sk__7 @ sk__8 ) ) ) ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ sk__9 @ sk__7 )
| ~ ( in @ sk__10 @ sk__8 )
| ~ ( in @ X0 @ sk__8 )
| ( ( setadjoin @ ( setadjoin @ sk__9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__9 @ ( setadjoin @ sk__10 @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
| ~ ( in @ X1 @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl85]) ).
thf(zip_derived_cl3_001,plain,
in @ sk__9 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1_002,plain,
in @ sk__10 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ sk__8 )
| ( ( setadjoin @ ( setadjoin @ sk__9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__9 @ ( setadjoin @ sk__10 @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
| ~ ( in @ X1 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl90,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__7 )
| ( ( setadjoin @ ( setadjoin @ sk__9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__9 @ ( setadjoin @ sk__10 @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ sk__10 @ emptyset ) ) @ emptyset ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl88]) ).
thf(zip_derived_cl92,plain,
( ( setadjoin @ ( setadjoin @ sk__9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__9 @ ( setadjoin @ sk__10 @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ sk__9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__9 @ ( setadjoin @ sk__10 @ emptyset ) ) @ emptyset ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl90]) ).
thf(zip_derived_cl94,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU630^2 : 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.JefSlKhtA3 true
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 15:19:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.20/0.67 % Total configuration time : 828
% 0.20/0.67 % Estimated wc time : 1656
% 0.20/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.47/0.87 % Solved by lams/40_c_ic.sh.
% 1.47/0.87 % done 19 iterations in 0.074s
% 1.47/0.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.47/0.87 % SZS output start Refutation
% See solution above
% 1.47/0.87
% 1.47/0.87
% 1.47/0.87 % Terminating...
% 1.82/0.97 % Runner terminated.
% 1.82/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------