TSTP Solution File: NUM390+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM390+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.UCdeECt6S8 true
% Computer : n017.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 12:41:14 EDT 2023
% Result : Theorem 1.36s 0.78s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 62 ( 17 unt; 9 typ; 0 def)
% Number of atoms : 124 ( 27 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 269 ( 37 ~; 49 |; 5 &; 161 @)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 0 ^; 45 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(proper_subset_type,type,
proper_subset: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(epsilon_connected_type,type,
epsilon_connected: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(epsilon_transitive_type,type,
epsilon_transitive: $i > $o ).
thf(t22_ordinal1,conjecture,
! [A: $i] :
( ( epsilon_transitive @ A )
=> ! [B: $i] :
( ( ordinal @ B )
=> ! [C: $i] :
( ( ordinal @ C )
=> ( ( ( subset @ A @ B )
& ( in @ B @ C ) )
=> ( in @ A @ C ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( epsilon_transitive @ A )
=> ! [B: $i] :
( ( ordinal @ B )
=> ! [C: $i] :
( ( ordinal @ C )
=> ( ( ( subset @ A @ B )
& ( in @ B @ C ) )
=> ( in @ A @ C ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t22_ordinal1]) ).
thf(zip_derived_cl23,plain,
in @ sk__3 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t21_ordinal1,axiom,
! [A: $i] :
( ( epsilon_transitive @ A )
=> ! [B: $i] :
( ( ordinal @ B )
=> ( ( proper_subset @ A @ B )
=> ( in @ A @ B ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( in @ X1 @ X0 )
| ~ ( proper_subset @ X1 @ X0 )
| ~ ( epsilon_transitive @ X1 ) ),
inference(cnf,[status(esa)],[t21_ordinal1]) ).
thf(zip_derived_cl23_001,plain,
in @ sk__3 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d2_ordinal1,axiom,
! [A: $i] :
( ( epsilon_transitive @ A )
<=> ! [B: $i] :
( ( in @ B @ A )
=> ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( subset @ X0 @ X1 )
| ~ ( epsilon_transitive @ X1 ) ),
inference(cnf,[status(esa)],[d2_ordinal1]) ).
thf(d8_xboole_0,axiom,
! [A: $i,B: $i] :
( ( proper_subset @ A @ B )
<=> ( ( subset @ A @ B )
& ( A != B ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( proper_subset @ X0 @ X1 )
| ( X0 = X1 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[d8_xboole_0]) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ~ ( epsilon_transitive @ X0 )
| ~ ( in @ X1 @ X0 )
| ( X1 = X0 )
| ( proper_subset @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl9]) ).
thf(zip_derived_cl72,plain,
( ( proper_subset @ sk__3 @ sk__4 )
| ( sk__3 = sk__4 )
| ~ ( epsilon_transitive @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl48]) ).
thf(zip_derived_cl21,plain,
ordinal @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(cc1_ordinal1,axiom,
! [A: $i] :
( ( ordinal @ A )
=> ( ( epsilon_transitive @ A )
& ( epsilon_connected @ A ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( epsilon_transitive @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[cc1_ordinal1]) ).
thf(zip_derived_cl36,plain,
epsilon_transitive @ sk__4,
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl1]) ).
thf(zip_derived_cl75,plain,
( ( proper_subset @ sk__3 @ sk__4 )
| ( sk__3 = sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl36]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( proper_subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[d8_xboole_0]) ).
thf(zip_derived_cl95,plain,
( ( sk__3 = sk__4 )
| ( subset @ sk__3 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl7]) ).
thf(zip_derived_cl24,plain,
subset @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t1_xboole_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ B @ C ) )
=> ( subset @ A @ C ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X2 )
| ( subset @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t1_xboole_1]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ( subset @ sk__2 @ X0 )
| ~ ( subset @ sk__3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl15]) ).
thf(zip_derived_cl9_002,plain,
! [X0: $i,X1: $i] :
( ( proper_subset @ X0 @ X1 )
| ( X0 = X1 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[d8_xboole_0]) ).
thf(zip_derived_cl80,plain,
! [X0: $i] :
( ~ ( subset @ sk__3 @ X0 )
| ( sk__2 = X0 )
| ( proper_subset @ sk__2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl9]) ).
thf(zip_derived_cl140,plain,
( ( sk__3 = sk__4 )
| ( proper_subset @ sk__2 @ sk__4 )
| ( sk__2 = sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl80]) ).
thf(zip_derived_cl146,plain,
( ~ ( epsilon_transitive @ sk__2 )
| ( in @ sk__2 @ sk__4 )
| ~ ( ordinal @ sk__4 )
| ( sk__2 = sk__4 )
| ( sk__3 = sk__4 ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl140]) ).
thf(zip_derived_cl20,plain,
epsilon_transitive @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21_003,plain,
ordinal @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl147,plain,
( ( in @ sk__2 @ sk__4 )
| ( sk__2 = sk__4 )
| ( sk__3 = sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl20,zip_derived_cl21]) ).
thf(zip_derived_cl22,plain,
~ ( in @ sk__2 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl152,plain,
( ( sk__3 = sk__4 )
| ( sk__2 = sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl147,zip_derived_cl22]) ).
thf(zip_derived_cl16_004,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( in @ X1 @ X0 )
| ~ ( proper_subset @ X1 @ X0 )
| ~ ( epsilon_transitive @ X1 ) ),
inference(cnf,[status(esa)],[t21_ordinal1]) ).
thf(zip_derived_cl24_005,plain,
subset @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_006,plain,
! [X0: $i,X1: $i] :
( ( proper_subset @ X0 @ X1 )
| ( X0 = X1 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[d8_xboole_0]) ).
thf(zip_derived_cl54,plain,
( ( sk__2 = sk__3 )
| ( proper_subset @ sk__2 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl9]) ).
thf(zip_derived_cl59,plain,
( ~ ( epsilon_transitive @ sk__2 )
| ( in @ sk__2 @ sk__3 )
| ~ ( ordinal @ sk__3 )
| ( sk__2 = sk__3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl54]) ).
thf(zip_derived_cl20_007,plain,
epsilon_transitive @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25,plain,
ordinal @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60,plain,
( ( in @ sk__2 @ sk__3 )
| ( sk__2 = sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl20,zip_derived_cl25]) ).
thf(antisymmetry_r2_hidden,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[antisymmetry_r2_hidden]) ).
thf(zip_derived_cl64,plain,
( ( sk__2 = sk__3 )
| ~ ( in @ sk__3 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl0]) ).
thf(zip_derived_cl159,plain,
( ~ ( in @ sk__3 @ sk__4 )
| ( sk__3 = sk__4 )
| ( sk__2 = sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl64]) ).
thf(zip_derived_cl23_008,plain,
in @ sk__3 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl164,plain,
( ( sk__3 = sk__4 )
| ( sk__2 = sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl23]) ).
thf(zip_derived_cl22_009,plain,
~ ( in @ sk__2 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl169,plain,
( ~ ( in @ sk__3 @ sk__4 )
| ( sk__3 = sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl164,zip_derived_cl22]) ).
thf(zip_derived_cl23_010,plain,
in @ sk__3 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl180,plain,
sk__3 = sk__4,
inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl23]) ).
thf(zip_derived_cl0_011,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[antisymmetry_r2_hidden]) ).
thf(zip_derived_cl27,plain,
! [X0: $i] :
~ ( in @ X0 @ X0 ),
inference(eq_fact,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl183,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl180,zip_derived_cl27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM390+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UCdeECt6S8 true
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Aug 25 11:17:40 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.18/0.61 % Total configuration time : 435
% 0.18/0.61 % Estimated wc time : 1092
% 0.18/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.76/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.76/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.76/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.76/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.76/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.76/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.76/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.78 % Solved by fo/fo4.sh.
% 1.36/0.78 % done 95 iterations in 0.047s
% 1.36/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/0.78 % SZS output start Refutation
% See solution above
% 1.36/0.78
% 1.36/0.78
% 1.36/0.79 % Terminating...
% 1.70/0.83 % Runner terminated.
% 1.73/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------