TSTP Solution File: SEU236+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU236+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jS0LqcBZ2s true
% Computer : n014.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 19:11:30 EDT 2023
% Result : Theorem 1.34s 1.06s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 70 ( 21 unt; 13 typ; 0 def)
% Number of atoms : 122 ( 8 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 345 ( 38 ~; 42 |; 6 &; 242 @)
% ( 7 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 55 ( 0 ^; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(epsilon_transitive_type,type,
epsilon_transitive: $i > $o ).
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(succ_type,type,
succ: $i > $i ).
thf(ordinal_subset_type,type,
ordinal_subset: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(epsilon_connected_type,type,
epsilon_connected: $i > $o ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(fc3_ordinal1,axiom,
! [A: $i] :
( ( ordinal @ A )
=> ( ~ ( empty @ ( succ @ A ) )
& ( epsilon_transitive @ ( succ @ A ) )
& ( epsilon_connected @ ( succ @ A ) )
& ( ordinal @ ( succ @ A ) ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ( ordinal @ ( succ @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[fc3_ordinal1]) ).
thf(t10_ordinal1,axiom,
! [A: $i] : ( in @ A @ ( succ @ A ) ) ).
thf(zip_derived_cl89,plain,
! [X0: $i] : ( in @ X0 @ ( succ @ X0 ) ),
inference(cnf,[status(esa)],[t10_ordinal1]) ).
thf(zip_derived_cl44_001,plain,
! [X0: $i] :
( ( ordinal @ ( succ @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[fc3_ordinal1]) ).
thf(t33_ordinal1,conjecture,
! [A: $i] :
( ( ordinal @ A )
=> ! [B: $i] :
( ( ordinal @ B )
=> ( ( in @ A @ B )
<=> ( ordinal_subset @ ( succ @ A ) @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ordinal @ A )
=> ! [B: $i] :
( ( ordinal @ B )
=> ( ( in @ A @ B )
<=> ( ordinal_subset @ ( succ @ A ) @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[t33_ordinal1]) ).
thf(zip_derived_cl94,plain,
( ( ordinal_subset @ ( succ @ sk__17 ) @ sk__18 )
| ( in @ sk__17 @ sk__18 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(redefinition_r1_ordinal1,axiom,
! [A: $i,B: $i] :
( ( ( ordinal @ A )
& ( ordinal @ B ) )
=> ( ( ordinal_subset @ A @ B )
<=> ( subset @ A @ B ) ) ) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( ordinal @ X1 )
| ( subset @ X0 @ X1 )
| ~ ( ordinal_subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_r1_ordinal1]) ).
thf(zip_derived_cl480,plain,
( ( in @ sk__17 @ sk__18 )
| ( subset @ ( succ @ sk__17 ) @ sk__18 )
| ~ ( ordinal @ sk__18 )
| ~ ( ordinal @ ( succ @ sk__17 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl85]) ).
thf(zip_derived_cl96,plain,
ordinal @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl484,plain,
( ( in @ sk__17 @ sk__18 )
| ( subset @ ( succ @ sk__17 ) @ sk__18 )
| ~ ( ordinal @ ( succ @ sk__17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl96]) ).
thf(zip_derived_cl489,plain,
( ~ ( ordinal @ sk__17 )
| ( subset @ ( succ @ sk__17 ) @ sk__18 )
| ( in @ sk__17 @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl484]) ).
thf(zip_derived_cl93,plain,
ordinal @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl494,plain,
( ( subset @ ( succ @ sk__17 ) @ sk__18 )
| ( in @ sk__17 @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl489,zip_derived_cl93]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl534,plain,
! [X0: $i] :
( ( in @ sk__17 @ sk__18 )
| ( in @ X0 @ sk__18 )
| ~ ( in @ X0 @ ( succ @ sk__17 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl22]) ).
thf(zip_derived_cl545,plain,
( ( in @ sk__17 @ sk__18 )
| ( in @ sk__17 @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl534]) ).
thf(zip_derived_cl552,plain,
in @ sk__17 @ sk__18,
inference(simplify,[status(thm)],[zip_derived_cl545]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__2 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(d1_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( singleton @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( C = A ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X1
!= ( singleton @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl309,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl604,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( singleton @ X0 ) @ X1 )
| ( ( sk__2 @ X1 @ ( singleton @ X0 ) )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl309]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__2 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl2589,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( subset @ ( singleton @ X0 ) @ X1 )
| ( subset @ ( singleton @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl604,zip_derived_cl23]) ).
thf(zip_derived_cl2595,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( singleton @ X0 ) @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2589]) ).
thf(zip_derived_cl2678,plain,
subset @ ( singleton @ sk__17 ) @ sk__18,
inference('sup-',[status(thm)],[zip_derived_cl552,zip_derived_cl2595]) ).
thf(zip_derived_cl552_002,plain,
in @ sk__17 @ sk__18,
inference(simplify,[status(thm)],[zip_derived_cl545]) ).
thf(d2_ordinal1,axiom,
! [A: $i] :
( ( epsilon_transitive @ A )
<=> ! [B: $i] :
( ( in @ B @ A )
=> ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( subset @ X0 @ X1 )
| ~ ( epsilon_transitive @ X1 ) ),
inference(cnf,[status(esa)],[d2_ordinal1]) ).
thf(zip_derived_cl558,plain,
( ~ ( epsilon_transitive @ sk__18 )
| ( subset @ sk__17 @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl552,zip_derived_cl19]) ).
thf(cc1_ordinal1,axiom,
! [A: $i] :
( ( ordinal @ A )
=> ( ( epsilon_transitive @ A )
& ( epsilon_connected @ A ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( epsilon_transitive @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[cc1_ordinal1]) ).
thf(zip_derived_cl96_003,plain,
ordinal @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116,plain,
epsilon_transitive @ sk__18,
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl96]) ).
thf(zip_derived_cl565,plain,
subset @ sk__17 @ sk__18,
inference(demod,[status(thm)],[zip_derived_cl558,zip_derived_cl116]) ).
thf(t8_xboole_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ C @ B ) )
=> ( subset @ ( set_union2 @ A @ C ) @ B ) ) ).
thf(zip_derived_cl104,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X2 @ X1 )
| ( subset @ ( set_union2 @ X0 @ X2 ) @ X1 ) ),
inference(cnf,[status(esa)],[t8_xboole_1]) ).
thf(zip_derived_cl781,plain,
! [X0: $i] :
( ( subset @ ( set_union2 @ sk__17 @ X0 ) @ sk__18 )
| ~ ( subset @ X0 @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl565,zip_derived_cl104]) ).
thf(zip_derived_cl2695,plain,
subset @ ( set_union2 @ sk__17 @ ( singleton @ sk__17 ) ) @ sk__18,
inference('sup-',[status(thm)],[zip_derived_cl2678,zip_derived_cl781]) ).
thf(d1_ordinal1,axiom,
! [A: $i] :
( ( succ @ A )
= ( set_union2 @ A @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( succ @ X0 )
= ( set_union2 @ X0 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d1_ordinal1]) ).
thf(zip_derived_cl2705,plain,
subset @ ( succ @ sk__17 ) @ sk__18,
inference(demod,[status(thm)],[zip_derived_cl2695,zip_derived_cl14]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( ordinal @ X1 )
| ( ordinal_subset @ X0 @ X1 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_r1_ordinal1]) ).
thf(zip_derived_cl2706,plain,
( ( ordinal_subset @ ( succ @ sk__17 ) @ sk__18 )
| ~ ( ordinal @ sk__18 )
| ~ ( ordinal @ ( succ @ sk__17 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2705,zip_derived_cl86]) ).
thf(zip_derived_cl96_004,plain,
ordinal @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2719,plain,
( ( ordinal_subset @ ( succ @ sk__17 ) @ sk__18 )
| ~ ( ordinal @ ( succ @ sk__17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2706,zip_derived_cl96]) ).
thf(zip_derived_cl95,plain,
( ~ ( ordinal_subset @ ( succ @ sk__17 ) @ sk__18 )
| ~ ( in @ sk__17 @ sk__18 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl552_005,plain,
in @ sk__17 @ sk__18,
inference(simplify,[status(thm)],[zip_derived_cl545]) ).
thf(zip_derived_cl555,plain,
~ ( ordinal_subset @ ( succ @ sk__17 ) @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl552]) ).
thf(zip_derived_cl2720,plain,
~ ( ordinal @ ( succ @ sk__17 ) ),
inference(clc,[status(thm)],[zip_derived_cl2719,zip_derived_cl555]) ).
thf(zip_derived_cl2722,plain,
~ ( ordinal @ sk__17 ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl2720]) ).
thf(zip_derived_cl93_006,plain,
ordinal @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2727,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2722,zip_derived_cl93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU236+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jS0LqcBZ2s true
% 0.14/0.35 % Computer : n014.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 15:59:49 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.20/0.67 % Total configuration time : 435
% 0.20/0.67 % Estimated wc time : 1092
% 0.20/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.77/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.77/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.77/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.77/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.77/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.77/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.34/1.06 % Solved by fo/fo5.sh.
% 1.34/1.06 % done 596 iterations in 0.287s
% 1.34/1.06 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.34/1.06 % SZS output start Refutation
% See solution above
% 1.34/1.06
% 1.34/1.06
% 1.34/1.06 % Terminating...
% 1.64/1.17 % Runner terminated.
% 1.64/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------