TSTP Solution File: NUM404+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM404+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.qR4VGaKmxw true
% Computer : n024.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 12:41:16 EDT 2023
% Result : Theorem 1.38s 1.12s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 59 ( 9 unt; 10 typ; 0 def)
% Number of atoms : 113 ( 6 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 299 ( 49 ~; 44 |; 7 &; 186 @)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 51 ( 0 ^; 51 !; 0 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(epsilon_transitive_type,type,
epsilon_transitive: $i > $o ).
thf(sk__type,type,
sk_: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(epsilon_connected_type,type,
epsilon_connected: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(d3_ordinal1,axiom,
! [A: $i] :
( ( epsilon_connected @ A )
<=> ! [B: $i,C: $i] :
~ ( ( in @ B @ A )
& ( in @ C @ A )
& ~ ( in @ B @ C )
& ( B != C )
& ~ ( in @ C @ B ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ( epsilon_connected @ X0 )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_ordinal1]) ).
thf(t37_ordinal1,conjecture,
! [A: $i] :
~ ! [B: $i] :
( ( in @ B @ A )
<=> ( ordinal @ B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
~ ! [B: $i] :
( ( in @ B @ A )
<=> ( ordinal @ B ) ),
inference('cnf.neg',[status(esa)],[t37_ordinal1]) ).
thf(zip_derived_cl83,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( in @ X0 @ sk__18 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl269,plain,
( ( epsilon_connected @ sk__18 )
| ( ordinal @ ( sk__2 @ sk__18 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl83]) ).
thf(cc2_ordinal1,axiom,
! [A: $i] :
( ( ( epsilon_transitive @ A )
& ( epsilon_connected @ A ) )
=> ( ordinal @ A ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( epsilon_connected @ X0 )
| ~ ( epsilon_transitive @ X0 ) ),
inference(cnf,[status(esa)],[cc2_ordinal1]) ).
thf(zip_derived_cl84,plain,
! [X1: $i] :
( ( in @ X1 @ sk__18 )
| ~ ( ordinal @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl92,plain,
! [X0: $i] :
~ ( in @ X0 @ X0 ),
inference(eq_fact,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl191,plain,
~ ( ordinal @ sk__18 ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl92]) ).
thf(zip_derived_cl210,plain,
( ~ ( epsilon_transitive @ sk__18 )
| ~ ( epsilon_connected @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl191]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__3 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(t23_ordinal1,axiom,
! [A: $i,B: $i] :
( ( ordinal @ B )
=> ( ( in @ A @ B )
=> ( ordinal @ A ) ) ) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i] :
( ( ordinal @ X0 )
| ~ ( ordinal @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t23_ordinal1]) ).
thf(zip_derived_cl450,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( ordinal @ X0 )
| ( ordinal @ ( sk__3 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl80]) ).
thf(zip_derived_cl84_001,plain,
! [X1: $i] :
( ( in @ X1 @ sk__18 )
| ~ ( ordinal @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__3 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl468,plain,
! [X0: $i] :
( ~ ( ordinal @ ( sk__3 @ sk__18 @ X0 ) )
| ( subset @ X0 @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl22]) ).
thf(zip_derived_cl1331,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( subset @ X0 @ sk__18 )
| ( subset @ X0 @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl468]) ).
thf(zip_derived_cl1336,plain,
! [X0: $i] :
( ( subset @ X0 @ sk__18 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1331]) ).
thf(d2_ordinal1,axiom,
! [A: $i] :
( ( epsilon_transitive @ A )
<=> ! [B: $i] :
( ( in @ B @ A )
=> ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( epsilon_transitive @ X0 )
| ~ ( subset @ ( sk_ @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d2_ordinal1]) ).
thf(zip_derived_cl1339,plain,
( ~ ( ordinal @ ( sk_ @ sk__18 ) )
| ( epsilon_transitive @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1336,zip_derived_cl13]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( epsilon_transitive @ X0 )
| ( in @ ( sk_ @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d2_ordinal1]) ).
thf(zip_derived_cl83_002,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( in @ X0 @ sk__18 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl234,plain,
( ( epsilon_transitive @ sk__18 )
| ( ordinal @ ( sk_ @ sk__18 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl83]) ).
thf(zip_derived_cl1387,plain,
epsilon_transitive @ sk__18,
inference(clc,[status(thm)],[zip_derived_cl1339,zip_derived_cl234]) ).
thf(zip_derived_cl1388,plain,
~ ( epsilon_connected @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl1387]) ).
thf(zip_derived_cl1394,plain,
ordinal @ ( sk__2 @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl1388]) ).
thf(t24_ordinal1,axiom,
! [A: $i] :
( ( ordinal @ A )
=> ! [B: $i] :
( ( ordinal @ B )
=> ~ ( ~ ( in @ A @ B )
& ( A != B )
& ~ ( in @ B @ A ) ) ) ) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( in @ X1 @ X0 )
| ( X1 = X0 )
| ( in @ X0 @ X1 )
| ~ ( ordinal @ X1 ) ),
inference(cnf,[status(esa)],[t24_ordinal1]) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ( epsilon_connected @ X0 )
| ~ ( in @ ( sk__2 @ X0 ) @ ( sk__1 @ X0 ) ) ),
inference(cnf,[status(esa)],[d3_ordinal1]) ).
thf(zip_derived_cl541,plain,
! [X0: $i] :
( ~ ( ordinal @ ( sk__2 @ X0 ) )
| ( in @ ( sk__1 @ X0 ) @ ( sk__2 @ X0 ) )
| ( ( sk__2 @ X0 )
= ( sk__1 @ X0 ) )
| ~ ( ordinal @ ( sk__1 @ X0 ) )
| ( epsilon_connected @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ( epsilon_connected @ X0 )
| ~ ( in @ ( sk__1 @ X0 ) @ ( sk__2 @ X0 ) ) ),
inference(cnf,[status(esa)],[d3_ordinal1]) ).
thf(zip_derived_cl2855,plain,
! [X0: $i] :
( ( epsilon_connected @ X0 )
| ~ ( ordinal @ ( sk__1 @ X0 ) )
| ( ( sk__2 @ X0 )
= ( sk__1 @ X0 ) )
| ~ ( ordinal @ ( sk__2 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl541,zip_derived_cl19]) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( epsilon_connected @ X0 )
| ( ( sk__1 @ X0 )
!= ( sk__2 @ X0 ) ) ),
inference(cnf,[status(esa)],[d3_ordinal1]) ).
thf(zip_derived_cl2856,plain,
! [X0: $i] :
( ~ ( ordinal @ ( sk__2 @ X0 ) )
| ~ ( ordinal @ ( sk__1 @ X0 ) )
| ( epsilon_connected @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2855,zip_derived_cl18]) ).
thf(zip_derived_cl2859,plain,
( ( epsilon_connected @ sk__18 )
| ~ ( ordinal @ ( sk__1 @ sk__18 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl2856]) ).
thf(zip_derived_cl1388_003,plain,
~ ( epsilon_connected @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl1387]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( epsilon_connected @ X0 )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_ordinal1]) ).
thf(zip_derived_cl83_004,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( in @ X0 @ sk__18 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl245,plain,
( ( epsilon_connected @ sk__18 )
| ( ordinal @ ( sk__1 @ sk__18 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl83]) ).
thf(zip_derived_cl1388_005,plain,
~ ( epsilon_connected @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl1387]) ).
thf(zip_derived_cl1391,plain,
ordinal @ ( sk__1 @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl245,zip_derived_cl1388]) ).
thf(zip_derived_cl2864,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2859,zip_derived_cl1388,zip_derived_cl1391]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM404+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qR4VGaKmxw true
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 11:58:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.33/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.38/1.12 % Solved by fo/fo5.sh.
% 1.38/1.12 % done 586 iterations in 0.333s
% 1.38/1.12 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.38/1.12 % SZS output start Refutation
% See solution above
% 1.38/1.12
% 1.38/1.12
% 1.38/1.12 % Terminating...
% 1.86/1.15 % Runner terminated.
% 1.86/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------