TSTP Solution File: SEU211+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU211+2 : 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.yfkW4CRRSB 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 19:11:15 EDT 2023
% Result : Theorem 88.62s 13.32s
% Output : Refutation 88.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 37 ( 5 unt; 11 typ; 0 def)
% Number of atoms : 80 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 359 ( 41 ~; 44 |; 2 &; 264 @)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 64 ( 0 ^; 63 !; 1 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_type,type,
relation: $i > $o ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(relation_inverse_image_type,type,
relation_inverse_image: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(t178_relat_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( subset @ A @ B )
=> ( subset @ ( relation_inverse_image @ C @ A ) @ ( relation_inverse_image @ C @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( subset @ A @ B )
=> ( subset @ ( relation_inverse_image @ C @ A ) @ ( relation_inverse_image @ C @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[t178_relat_1]) ).
thf(zip_derived_cl20,plain,
~ ( subset @ ( relation_inverse_image @ sk__7 @ sk__5 ) @ ( relation_inverse_image @ sk__7 @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__3 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl21,plain,
relation @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22,plain,
subset @ sk__5 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__3 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(t166_relat_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ A @ ( relation_inverse_image @ C @ B ) )
<=> ? [D: $i] :
( ( in @ D @ B )
& ( in @ ( ordered_pair @ A @ D ) @ C )
& ( in @ D @ ( relation_rng @ C ) ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_inverse_image @ X1 @ X2 ) )
| ( in @ ( sk__4 @ X1 @ X2 @ X0 ) @ X2 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t166_relat_1]) ).
thf(zip_derived_cl9,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_cl996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X2 )
| ~ ( in @ X1 @ ( relation_inverse_image @ X2 @ X0 ) )
| ~ ( subset @ X0 @ X3 )
| ( in @ ( sk__4 @ X2 @ X0 @ X1 ) @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_inverse_image @ X1 @ X2 ) )
| ( in @ ( ordered_pair @ X0 @ ( sk__4 @ X1 @ X2 @ X0 ) ) @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t166_relat_1]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ ( ordered_pair @ X2 @ X0 ) @ X3 )
| ~ ( in @ X0 @ ( relation_rng @ X3 ) )
| ( in @ X2 @ ( relation_inverse_image @ X3 @ X1 ) )
| ~ ( relation @ X3 ) ),
inference(cnf,[status(esa)],[t166_relat_1]) ).
thf(zip_derived_cl609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ~ ( in @ X1 @ ( relation_inverse_image @ X0 @ X2 ) )
| ~ ( relation @ X0 )
| ( in @ X1 @ ( relation_inverse_image @ X0 @ X3 ) )
| ~ ( in @ ( sk__4 @ X0 @ X2 @ X1 ) @ ( relation_rng @ X0 ) )
| ~ ( in @ ( sk__4 @ X0 @ X2 @ X1 ) @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl13]) ).
thf(zip_derived_cl618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ ( sk__4 @ X0 @ X2 @ X1 ) @ X3 )
| ~ ( in @ ( sk__4 @ X0 @ X2 @ X1 ) @ ( relation_rng @ X0 ) )
| ( in @ X1 @ ( relation_inverse_image @ X0 @ X3 ) )
| ~ ( in @ X1 @ ( relation_inverse_image @ X0 @ X2 ) )
| ~ ( relation @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl609]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_inverse_image @ X1 @ X2 ) )
| ( in @ ( sk__4 @ X1 @ X2 @ X0 ) @ ( relation_rng @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t166_relat_1]) ).
thf(zip_derived_cl24269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ~ ( in @ X1 @ ( relation_inverse_image @ X0 @ X2 ) )
| ( in @ X1 @ ( relation_inverse_image @ X0 @ X3 ) )
| ~ ( in @ ( sk__4 @ X0 @ X2 @ X1 ) @ X3 ) ),
inference(clc,[status(thm)],[zip_derived_cl618,zip_derived_cl14]) ).
thf(zip_derived_cl24272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( subset @ X2 @ X0 )
| ~ ( in @ X1 @ ( relation_inverse_image @ X3 @ X2 ) )
| ~ ( relation @ X3 )
| ( in @ X1 @ ( relation_inverse_image @ X3 @ X0 ) )
| ~ ( in @ X1 @ ( relation_inverse_image @ X3 @ X2 ) )
| ~ ( relation @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl996,zip_derived_cl24269]) ).
thf(zip_derived_cl24277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X1 @ ( relation_inverse_image @ X3 @ X0 ) )
| ~ ( relation @ X3 )
| ~ ( in @ X1 @ ( relation_inverse_image @ X3 @ X2 ) )
| ~ ( subset @ X2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24272]) ).
thf(zip_derived_cl24291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ ( relation_inverse_image @ X1 @ X0 ) @ X2 )
| ~ ( subset @ X0 @ X3 )
| ~ ( relation @ X1 )
| ( in @ ( sk__3 @ X2 @ ( relation_inverse_image @ X1 @ X0 ) ) @ ( relation_inverse_image @ X1 @ X3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl24277]) ).
thf(zip_derived_cl24735,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__3 @ X1 @ ( relation_inverse_image @ X0 @ sk__5 ) ) @ ( relation_inverse_image @ X0 @ sk__6 ) )
| ~ ( relation @ X0 )
| ( subset @ ( relation_inverse_image @ X0 @ sk__5 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl24291]) ).
thf(zip_derived_cl24932,plain,
! [X0: $i] :
( ( subset @ ( relation_inverse_image @ sk__7 @ sk__5 ) @ X0 )
| ( in @ ( sk__3 @ X0 @ ( relation_inverse_image @ sk__7 @ sk__5 ) ) @ ( relation_inverse_image @ sk__7 @ sk__6 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl24735]) ).
thf(zip_derived_cl86354,plain,
( ( subset @ ( relation_inverse_image @ sk__7 @ sk__5 ) @ ( relation_inverse_image @ sk__7 @ sk__6 ) )
| ( subset @ ( relation_inverse_image @ sk__7 @ sk__5 ) @ ( relation_inverse_image @ sk__7 @ sk__6 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl24932]) ).
thf(zip_derived_cl86413,plain,
subset @ ( relation_inverse_image @ sk__7 @ sk__5 ) @ ( relation_inverse_image @ sk__7 @ sk__6 ),
inference(simplify,[status(thm)],[zip_derived_cl86354]) ).
thf(zip_derived_cl86522,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl86413]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU211+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yfkW4CRRSB true
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 13:36:01 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
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % 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
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 88.62/13.32 % Solved by fo/fo4.sh.
% 88.62/13.32 % done 3841 iterations in 12.510s
% 88.62/13.32 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 88.62/13.32 % SZS output start Refutation
% See solution above
% 88.62/13.32
% 88.62/13.32
% 88.62/13.32 % Terminating...
% 88.62/13.44 % Runner terminated.
% 88.62/13.45 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------