TSTP Solution File: SEU157+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU157+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.h9iaLV7IdC true
% Computer : n026.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 19:10:50 EDT 2023
% Result : Theorem 1.20s 0.90s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 63 ( 10 unt; 13 typ; 0 def)
% Number of atoms : 115 ( 32 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 552 ( 35 ~; 50 |; 7 &; 452 @)
% ( 7 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 5 con; 0-5 aty)
% Number of variables : 103 ( 0 ^; 99 !; 4 ?; 103 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $i > $o ).
thf('#_fresh_sk2_type',type,
'#_fresh_sk2': $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf('#_fresh_sk1_type',type,
'#_fresh_sk1': $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i > $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(d2_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( cartesian_product2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i,F: $i] :
( ( in @ E @ A )
& ( in @ F @ B )
& ( D
= ( ordered_pair @ E @ F ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [F: $i,E: $i,D: $i,B: $i,A: $i] :
( ( zip_tseitin_0 @ F @ E @ D @ B @ A )
<=> ( ( D
= ( ordered_pair @ E @ F ) )
& ( in @ F @ B )
& ( in @ E @ A ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ~ ( in @ X1 @ X4 )
| ~ ( in @ X0 @ X3 )
| ( X2
!= ( ordered_pair @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_1,type,
zip_tseitin_0: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( cartesian_product2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i,F: $i] : ( zip_tseitin_0 @ F @ E @ D @ B @ A ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ( in @ X2 @ X5 )
| ( X5
!= ( cartesian_product2 @ X4 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2
!= ( ordered_pair @ X3 @ X4 ) )
| ~ ( in @ X4 @ X1 )
| ~ ( in @ X3 @ X0 )
| ( X5
!= ( cartesian_product2 @ X0 @ X1 ) )
| ( in @ X2 @ X5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl6]) ).
thf(zip_derived_cl124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( in @ ( ordered_pair @ X2 @ X1 ) @ X0 )
| ( X0
!= ( cartesian_product2 @ X4 @ X3 ) )
| ~ ( in @ X2 @ X4 )
| ~ ( in @ X1 @ X3 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X1 @ X0 )
| ~ ( in @ X3 @ X2 )
| ( in @ ( ordered_pair @ X3 @ X1 ) @ ( cartesian_product2 @ X2 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl124]) ).
thf(l55_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
<=> ( ( in @ A @ C )
& ( in @ B @ D ) ) ) ).
thf(zf_stmt_3,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
<=> ( ( in @ A @ C )
& ( in @ B @ D ) ) ),
inference('cnf.neg',[status(esa)],[l55_zfmisc_1]) ).
thf(zip_derived_cl18,plain,
( ~ ( in @ sk__6 @ sk__8 )
| ~ ( in @ sk__5 @ sk__7 )
| ~ ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ ( cartesian_product2 @ sk__7 @ sk__8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl16,plain,
( ( in @ sk__5 @ sk__7 )
| ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ ( cartesian_product2 @ sk__7 @ sk__8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_0 @ ( sk__4 @ X0 @ X2 @ X3 ) @ ( sk__3 @ X0 @ X2 @ X3 ) @ X0 @ X2 @ X3 )
| ( X1
!= ( cartesian_product2 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ( in @ sk__5 @ sk__7 )
| ( ( cartesian_product2 @ sk__7 @ sk__8 )
!= ( cartesian_product2 @ X1 @ X0 ) )
| ( zip_tseitin_0 @ ( sk__4 @ ( ordered_pair @ sk__5 @ sk__6 ) @ X0 @ X1 ) @ ( sk__3 @ ( ordered_pair @ sk__5 @ sk__6 ) @ X0 @ X1 ) @ ( ordered_pair @ sk__5 @ sk__6 ) @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl7]) ).
thf(zip_derived_cl49,plain,
( ( zip_tseitin_0 @ ( sk__4 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) @ ( sk__3 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 )
| ( in @ sk__5 @ sk__7 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2
= ( ordered_pair @ X0 @ X1 ) )
| ~ ( zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57,plain,
( ( in @ sk__5 @ sk__7 )
| ( ( ordered_pair @ sk__5 @ sk__6 )
= ( ordered_pair @ ( sk__3 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) @ ( sk__4 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl2]) ).
thf(t33_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( ordered_pair @ A @ B )
= ( ordered_pair @ C @ D ) )
=> ( ( A = C )
& ( B = D ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ( ( ordered_pair @ X1 @ X3 )
!= ( ordered_pair @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[t33_zfmisc_1]) ).
thf(zip_derived_cl25,plain,
! [X1: $i,X3: $i] :
( ( '#_fresh_sk1' @ ( ordered_pair @ X1 @ X3 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl107,plain,
( ( ( '#_fresh_sk1' @ ( ordered_pair @ sk__5 @ sk__6 ) )
= ( sk__3 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) )
| ( in @ sk__5 @ sk__7 ) ),
inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl25]) ).
thf(zip_derived_cl25_001,plain,
! [X1: $i,X3: $i] :
( ( '#_fresh_sk1' @ ( ordered_pair @ X1 @ X3 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl112,plain,
( ( sk__5
= ( sk__3 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) )
| ( in @ sk__5 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl25]) ).
thf(zip_derived_cl49_002,plain,
( ( zip_tseitin_0 @ ( sk__4 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) @ ( sk__3 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 )
| ( in @ sk__5 @ sk__7 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X2 @ X0 @ X3 @ X4 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59,plain,
( ( in @ sk__5 @ sk__7 )
| ( in @ ( sk__3 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl4]) ).
thf(zip_derived_cl117,plain,
( ( in @ sk__5 @ sk__7 )
| ( in @ sk__5 @ sk__7 )
| ( in @ sk__5 @ sk__7 ) ),
inference('sup+',[status(thm)],[zip_derived_cl112,zip_derived_cl59]) ).
thf(zip_derived_cl121,plain,
in @ sk__5 @ sk__7,
inference(simplify,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl130,plain,
( ~ ( in @ sk__6 @ sk__8 )
| ~ ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ ( cartesian_product2 @ sk__7 @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl121]) ).
thf(zip_derived_cl17,plain,
( ( in @ sk__6 @ sk__8 )
| ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ ( cartesian_product2 @ sk__7 @ sk__8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl7_003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_0 @ ( sk__4 @ X0 @ X2 @ X3 ) @ ( sk__3 @ X0 @ X2 @ X3 ) @ X0 @ X2 @ X3 )
| ( X1
!= ( cartesian_product2 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ( in @ sk__6 @ sk__8 )
| ( ( cartesian_product2 @ sk__7 @ sk__8 )
!= ( cartesian_product2 @ X1 @ X0 ) )
| ( zip_tseitin_0 @ ( sk__4 @ ( ordered_pair @ sk__5 @ sk__6 ) @ X0 @ X1 ) @ ( sk__3 @ ( ordered_pair @ sk__5 @ sk__6 ) @ X0 @ X1 ) @ ( ordered_pair @ sk__5 @ sk__6 ) @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl7]) ).
thf(zip_derived_cl50,plain,
( ( zip_tseitin_0 @ ( sk__4 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) @ ( sk__3 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 )
| ( in @ sk__6 @ sk__8 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl2_004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2
= ( ordered_pair @ X0 @ X1 ) )
| ~ ( zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl142,plain,
( ( in @ sk__6 @ sk__8 )
| ( ( ordered_pair @ sk__5 @ sk__6 )
= ( ordered_pair @ ( sk__3 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) @ ( sk__4 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl2]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ( ( ordered_pair @ X3 @ X1 )
!= ( ordered_pair @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[t33_zfmisc_1]) ).
thf(zip_derived_cl27,plain,
! [X1: $i,X3: $i] :
( ( '#_fresh_sk2' @ ( ordered_pair @ X3 @ X1 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl212,plain,
( ( ( '#_fresh_sk2' @ ( ordered_pair @ sk__5 @ sk__6 ) )
= ( sk__4 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) )
| ( in @ sk__6 @ sk__8 ) ),
inference('sup+',[status(thm)],[zip_derived_cl142,zip_derived_cl27]) ).
thf(zip_derived_cl27_005,plain,
! [X1: $i,X3: $i] :
( ( '#_fresh_sk2' @ ( ordered_pair @ X3 @ X1 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl220,plain,
( ( sk__6
= ( sk__4 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) )
| ( in @ sk__6 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl27]) ).
thf(zip_derived_cl50_006,plain,
( ( zip_tseitin_0 @ ( sk__4 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) @ ( sk__3 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 )
| ( in @ sk__6 @ sk__8 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X0 @ X2 @ X3 @ X1 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl143,plain,
( ( in @ sk__6 @ sk__8 )
| ( in @ ( sk__4 @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__8 @ sk__7 ) @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl3]) ).
thf(zip_derived_cl234,plain,
( ( in @ sk__6 @ sk__8 )
| ( in @ sk__6 @ sk__8 )
| ( in @ sk__6 @ sk__8 ) ),
inference('sup+',[status(thm)],[zip_derived_cl220,zip_derived_cl143]) ).
thf(zip_derived_cl238,plain,
in @ sk__6 @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl234]) ).
thf(zip_derived_cl251,plain,
~ ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ ( cartesian_product2 @ sk__7 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl238]) ).
thf(zip_derived_cl254,plain,
( ~ ( in @ sk__5 @ sk__7 )
| ~ ( in @ sk__6 @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl251]) ).
thf(zip_derived_cl121_007,plain,
in @ sk__5 @ sk__7,
inference(simplify,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl238_008,plain,
in @ sk__6 @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl234]) ).
thf(zip_derived_cl255,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl121,zip_derived_cl238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU157+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.h9iaLV7IdC true
% 0.14/0.35 % Computer : n026.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 16:32:46 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.20/0.90 % Solved by fo/fo4.sh.
% 1.20/0.90 % done 104 iterations in 0.082s
% 1.20/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.20/0.90 % SZS output start Refutation
% See solution above
% 1.20/0.90
% 1.20/0.90
% 1.20/0.90 % Terminating...
% 1.38/1.00 % Runner terminated.
% 1.51/1.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------