TSTP Solution File: SEU321+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU321+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vj87R1dQKB true
% Computer : n010.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 19:12:07 EDT 2023
% Result : Theorem 0.21s 0.77s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 22
% Syntax : Number of formulae : 46 ( 12 unt; 17 typ; 0 def)
% Number of atoms : 71 ( 6 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 233 ( 35 ~; 19 |; 9 &; 156 @)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(v2_membered_type,type,
v2_membered: $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(one_sorted_str_type,type,
one_sorted_str: $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(v1_membered_type,type,
v1_membered: $i > $o ).
thf(subset_complement_type,type,
subset_complement: $i > $i > $i ).
thf(v3_membered_type,type,
v3_membered: $i > $o ).
thf(v4_membered_type,type,
v4_membered: $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(v5_membered_type,type,
v5_membered: $i > $o ).
thf(l40_tops_1,conjecture,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( in @ C @ ( subset_complement @ ( the_carrier @ A ) @ B ) )
<=> ~ ( in @ C @ B ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( in @ C @ ( subset_complement @ ( the_carrier @ A ) @ B ) )
<=> ~ ( in @ C @ B ) ) ) ) ),
inference('cnf.neg',[status(esa)],[l40_tops_1]) ).
thf(zip_derived_cl77,plain,
one_sorted_str @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fc1_struct_0,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ~ ( empty @ ( the_carrier @ A ) ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ~ ( empty @ ( the_carrier @ X0 ) )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 ) ),
inference(cnf,[status(esa)],[fc1_struct_0]) ).
thf(zip_derived_cl76,plain,
~ ( empty_carrier @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl264,plain,
( ~ ( one_sorted_str @ sk__5 )
| ~ ( empty @ ( the_carrier @ sk__5 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl76]) ).
thf(zip_derived_cl318,plain,
( ( sk__5 != sk__5 )
| ~ ( empty @ ( the_carrier @ sk__5 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl77,zip_derived_cl264]) ).
thf(zip_derived_cl324,plain,
~ ( empty @ ( the_carrier @ sk__5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl318]) ).
thf(zip_derived_cl79,plain,
( ( in @ sk__7 @ sk__6 )
| ~ ( in @ sk__7 @ ( subset_complement @ ( the_carrier @ sk__5 ) @ sk__6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t54_subset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( element @ C @ ( powerset @ A ) )
=> ~ ( ( in @ B @ ( subset_complement @ A @ C ) )
& ( in @ B @ C ) ) ) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X0 @ ( subset_complement @ X2 @ X1 ) )
| ~ ( element @ X1 @ ( powerset @ X2 ) ) ),
inference(cnf,[status(esa)],[t54_subset_1]) ).
thf(zip_derived_cl80,plain,
( ~ ( in @ sk__7 @ sk__6 )
| ( in @ sk__7 @ ( subset_complement @ ( the_carrier @ sk__5 ) @ sk__6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl403,plain,
( ~ ( element @ sk__6 @ ( powerset @ ( the_carrier @ sk__5 ) ) )
| ~ ( in @ sk__7 @ sk__6 )
| ~ ( in @ sk__7 @ sk__6 ) ),
inference('sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl80]) ).
thf(zip_derived_cl81,plain,
element @ sk__6 @ ( powerset @ ( the_carrier @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl405,plain,
( ~ ( in @ sk__7 @ sk__6 )
| ~ ( in @ sk__7 @ sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl403,zip_derived_cl81]) ).
thf(zip_derived_cl406,plain,
~ ( in @ sk__7 @ sk__6 ),
inference(simplify,[status(thm)],[zip_derived_cl405]) ).
thf(zip_derived_cl409,plain,
~ ( in @ sk__7 @ ( subset_complement @ ( the_carrier @ sk__5 ) @ sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl406]) ).
thf(t50_subset_1,axiom,
! [A: $i] :
( ( A != empty_set )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( element @ C @ A )
=> ( ~ ( in @ C @ B )
=> ( in @ C @ ( subset_complement @ A @ B ) ) ) ) ) ) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( powerset @ X1 ) )
| ( in @ X2 @ X0 )
| ( in @ X2 @ ( subset_complement @ X1 @ X0 ) )
| ~ ( element @ X2 @ X1 )
| ( X1 = empty_set ) ),
inference(cnf,[status(esa)],[t50_subset_1]) ).
thf(zip_derived_cl431,plain,
( ( ( the_carrier @ sk__5 )
= empty_set )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__5 ) )
| ( in @ sk__7 @ sk__6 )
| ~ ( element @ sk__6 @ ( powerset @ ( the_carrier @ sk__5 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl409,zip_derived_cl82]) ).
thf(zip_derived_cl78,plain,
element @ sk__7 @ ( the_carrier @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81_001,plain,
element @ sk__6 @ ( powerset @ ( the_carrier @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl434,plain,
( ( ( the_carrier @ sk__5 )
= empty_set )
| ( in @ sk__7 @ sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl431,zip_derived_cl78,zip_derived_cl81]) ).
thf(zip_derived_cl406_002,plain,
~ ( in @ sk__7 @ sk__6 ),
inference(simplify,[status(thm)],[zip_derived_cl405]) ).
thf(zip_derived_cl437,plain,
( ( the_carrier @ sk__5 )
= empty_set ),
inference(clc,[status(thm)],[zip_derived_cl434,zip_derived_cl406]) ).
thf(fc6_membered,axiom,
( ( v5_membered @ empty_set )
& ( v4_membered @ empty_set )
& ( v3_membered @ empty_set )
& ( v2_membered @ empty_set )
& ( v1_membered @ empty_set )
& ( empty @ empty_set ) ) ).
thf(zip_derived_cl69,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc6_membered]) ).
thf(zip_derived_cl440,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl324,zip_derived_cl437,zip_derived_cl69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU321+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vj87R1dQKB true
% 0.18/0.35 % Computer : n010.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Wed Aug 23 21:21:21 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.18/0.35 % Running portfolio for 300 s
% 0.18/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36 % Number of cores: 8
% 0.18/0.36 % Python version: Python 3.6.8
% 0.18/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % Solved by fo/fo3_bce.sh.
% 0.21/0.77 % BCE start: 84
% 0.21/0.77 % BCE eliminated: 49
% 0.21/0.77 % PE start: 35
% 0.21/0.77 logic: eq
% 0.21/0.77 % PE eliminated: -8
% 0.21/0.77 % done 72 iterations in 0.033s
% 0.21/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.77 % SZS output start Refutation
% See solution above
% 0.21/0.77
% 0.21/0.77
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77 % Terminating...
% 1.52/0.85 % Runner terminated.
% 1.52/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------