TSTP Solution File: SEU107+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU107+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.q2Z8bD1awq true
% Computer : n003.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 19:10:29 EDT 2023
% Result : Theorem 0.91s 0.82s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 43 ( 14 unt; 10 typ; 0 def)
% Number of atoms : 79 ( 7 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 243 ( 34 ~; 32 |; 8 &; 163 @)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 43 ( 0 ^; 42 !; 1 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(prebool_difference_type,type,
prebool_difference: $i > $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(preboolean_type,type,
preboolean: $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(t18_finsub_1,conjecture,
! [A: $i] :
( ( ~ ( empty @ A )
& ( preboolean @ A ) )
=> ( in @ empty_set @ A ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( empty @ A )
& ( preboolean @ A ) )
=> ( in @ empty_set @ A ) ),
inference('cnf.neg',[status(esa)],[t18_finsub_1]) ).
thf(zip_derived_cl44,plain,
~ ( in @ empty_set @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(existence_m1_subset_1,axiom,
! [A: $i] :
? [B: $i] : ( element @ B @ A ) ).
thf(zip_derived_cl7,plain,
! [X0: $i] : ( element @ ( sk_ @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl41,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(t37_xboole_1,axiom,
! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
= empty_set )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ( ( set_difference @ X0 @ X1 )
= empty_set )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t37_xboole_1]) ).
thf(zip_derived_cl233,plain,
! [X0: $i] :
( ( set_difference @ X0 @ X0 )
= empty_set ),
inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl48]) ).
thf(zip_derived_cl43,plain,
preboolean @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(redefinition_k2_finsub_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( empty @ A )
& ( preboolean @ A )
& ( element @ B @ A )
& ( element @ C @ A ) )
=> ( ( prebool_difference @ A @ B @ C )
= ( set_difference @ B @ C ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ X1 )
| ~ ( preboolean @ X1 )
| ( empty @ X1 )
| ~ ( element @ X2 @ X1 )
| ( ( prebool_difference @ X1 @ X0 @ X2 )
= ( set_difference @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[redefinition_k2_finsub_1]) ).
thf(zip_derived_cl242,plain,
! [X0: $i,X1: $i] :
( ( ( prebool_difference @ sk__10 @ X0 @ X1 )
= ( set_difference @ X0 @ X1 ) )
| ~ ( element @ X1 @ sk__10 )
| ( empty @ sk__10 )
| ~ ( element @ X0 @ sk__10 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl40]) ).
thf(zip_derived_cl42,plain,
~ ( empty @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl340,plain,
! [X0: $i,X1: $i] :
( ( ( prebool_difference @ sk__10 @ X0 @ X1 )
= ( set_difference @ X0 @ X1 ) )
| ~ ( element @ X1 @ sk__10 )
| ~ ( element @ X0 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl242,zip_derived_cl42]) ).
thf(zip_derived_cl43_001,plain,
preboolean @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k2_finsub_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( empty @ A )
& ( preboolean @ A )
& ( element @ B @ A )
& ( element @ C @ A ) )
=> ( element @ ( prebool_difference @ A @ B @ C ) @ A ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ X1 )
| ~ ( preboolean @ X1 )
| ( empty @ X1 )
| ~ ( element @ X2 @ X1 )
| ( element @ ( prebool_difference @ X1 @ X0 @ X2 ) @ X1 ) ),
inference(cnf,[status(esa)],[dt_k2_finsub_1]) ).
thf(zip_derived_cl241,plain,
! [X0: $i,X1: $i] :
( ( element @ ( prebool_difference @ sk__10 @ X0 @ X1 ) @ sk__10 )
| ~ ( element @ X1 @ sk__10 )
| ( empty @ sk__10 )
| ~ ( element @ X0 @ sk__10 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl6]) ).
thf(zip_derived_cl42_002,plain,
~ ( empty @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl348,plain,
! [X0: $i,X1: $i] :
( ( element @ ( prebool_difference @ sk__10 @ X0 @ X1 ) @ sk__10 )
| ~ ( element @ X1 @ sk__10 )
| ~ ( element @ X0 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl241,zip_derived_cl42]) ).
thf(zip_derived_cl351,plain,
! [X0: $i,X1: $i] :
( ( element @ ( set_difference @ X1 @ X0 ) @ sk__10 )
| ~ ( element @ X1 @ sk__10 )
| ~ ( element @ X0 @ sk__10 )
| ~ ( element @ X1 @ sk__10 )
| ~ ( element @ X0 @ sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl340,zip_derived_cl348]) ).
thf(zip_derived_cl353,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ sk__10 )
| ~ ( element @ X1 @ sk__10 )
| ( element @ ( set_difference @ X1 @ X0 ) @ sk__10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl351]) ).
thf(zip_derived_cl357,plain,
! [X0: $i] :
( ( element @ empty_set @ sk__10 )
| ~ ( element @ X0 @ sk__10 )
| ~ ( element @ X0 @ sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl233,zip_derived_cl353]) ).
thf(zip_derived_cl362,plain,
! [X0: $i] :
( ~ ( element @ X0 @ sk__10 )
| ( element @ empty_set @ sk__10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl357]) ).
thf(zip_derived_cl392,plain,
element @ empty_set @ sk__10,
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl362]) ).
thf(zip_derived_cl395,plain,
( ( empty @ sk__10 )
| ( in @ empty_set @ sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl46,zip_derived_cl392]) ).
thf(zip_derived_cl42_003,plain,
~ ( empty @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl396,plain,
in @ empty_set @ sk__10,
inference(demod,[status(thm)],[zip_derived_cl395,zip_derived_cl42]) ).
thf(zip_derived_cl398,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU107+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.q2Z8bD1awq true
% 0.14/0.35 % Computer : n003.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 : Wed Aug 23 18:17:37 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
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.65/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.91/0.82 % Solved by fo/fo3_bce.sh.
% 0.91/0.82 % BCE start: 58
% 0.91/0.82 % BCE eliminated: 8
% 0.91/0.82 % PE start: 50
% 0.91/0.82 logic: eq
% 0.91/0.82 % PE eliminated: 4
% 0.91/0.82 % done 75 iterations in 0.033s
% 0.91/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.91/0.82 % SZS output start Refutation
% See solution above
% 0.91/0.82
% 0.91/0.82
% 0.91/0.82 % Terminating...
% 0.91/0.88 % Runner terminated.
% 1.65/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------