TSTP Solution File: SEU206+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU206+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.geFFgG7Cow 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 19:11:12 EDT 2023
% Result : Theorem 10.36s 2.03s
% Output : Refutation 10.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 45 ( 9 unt; 10 typ; 0 def)
% Number of atoms : 108 ( 35 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 429 ( 39 ~; 61 |; 1 &; 317 @)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 62 ( 0 ^; 59 !; 3 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__11_type,type,
sk__11: $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(relation_image_type,type,
relation_image: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i > $i ).
thf(d13_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i,C: $i] :
( ( C
= ( relation_image @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i] :
( ( in @ E @ B )
& ( in @ ( ordered_pair @ E @ D ) @ A ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2
!= ( relation_image @ X0 @ X1 ) )
| ( in @ ( ordered_pair @ ( sk__2 @ X3 @ X1 @ X0 ) @ X3 ) @ X0 )
| ~ ( in @ X3 @ X2 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d13_relat_1]) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( in @ X2 @ ( relation_image @ X0 @ X1 ) )
| ( in @ ( ordered_pair @ ( sk__2 @ X2 @ X1 @ X0 ) @ X2 ) @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(d5_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( B
= ( relation_rng @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] : ( in @ ( ordered_pair @ D @ C ) @ A ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( sk__6 @ X0 @ X1 ) @ X0 )
| ~ ( in @ ( ordered_pair @ X2 @ ( sk__6 @ X0 @ X1 ) ) @ X1 )
| ( X0
= ( relation_rng @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d5_relat_1]) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( sk__6 @ X1 @ X0 ) @ ( relation_image @ X0 @ X2 ) )
| ~ ( relation @ X0 )
| ~ ( relation @ X0 )
| ( X1
= ( relation_rng @ X0 ) )
| ~ ( in @ ( sk__6 @ X1 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl12]) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( sk__6 @ X1 @ X0 ) @ X1 )
| ( X1
= ( relation_rng @ X0 ) )
| ~ ( relation @ X0 )
| ~ ( in @ ( sk__6 @ X1 @ X0 ) @ ( relation_image @ X0 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl77]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X1 )
| ( ( relation_image @ X1 @ X0 )
= ( relation_rng @ X1 ) )
| ~ ( in @ ( sk__6 @ ( relation_image @ X1 @ X0 ) @ X1 ) @ ( relation_image @ X1 @ X0 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl82]) ).
thf(t146_relat_1,conjecture,
! [A: $i] :
( ( relation @ A )
=> ( ( relation_image @ A @ ( relation_dom @ A ) )
= ( relation_rng @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( relation @ A )
=> ( ( relation_image @ A @ ( relation_dom @ A ) )
= ( relation_rng @ A ) ) ),
inference('cnf.neg',[status(esa)],[t146_relat_1]) ).
thf(zip_derived_cl26,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__6 @ X0 @ X1 ) @ X0 )
| ( in @ ( ordered_pair @ ( sk__7 @ X0 @ X1 ) @ ( sk__6 @ X0 @ X1 ) ) @ X1 )
| ( X0
= ( relation_rng @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d5_relat_1]) ).
thf(zip_derived_cl160,plain,
! [X0: $i] :
( ( X0
= ( relation_rng @ sk__11 ) )
| ( in @ ( ordered_pair @ ( sk__7 @ X0 @ sk__11 ) @ ( sk__6 @ X0 @ sk__11 ) ) @ sk__11 )
| ( in @ ( sk__6 @ X0 @ sk__11 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl11]) ).
thf(d4_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( B
= ( relation_dom @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] : ( in @ ( ordered_pair @ C @ D ) @ A ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_dom @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_relat_1]) ).
thf(zip_derived_cl2968,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__6 @ X0 @ sk__11 ) @ X0 )
| ( X0
= ( relation_rng @ sk__11 ) )
| ~ ( relation @ sk__11 )
| ( in @ ( sk__7 @ X0 @ sk__11 ) @ X1 )
| ( X1
!= ( relation_dom @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl10]) ).
thf(zip_derived_cl26_001,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2972,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__6 @ X0 @ sk__11 ) @ X0 )
| ( X0
= ( relation_rng @ sk__11 ) )
| ( in @ ( sk__7 @ X0 @ sk__11 ) @ X1 )
| ( X1
!= ( relation_dom @ sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2968,zip_derived_cl26]) ).
thf(zip_derived_cl2976,plain,
! [X0: $i] :
( ( in @ ( sk__7 @ X0 @ sk__11 ) @ ( relation_dom @ sk__11 ) )
| ( X0
= ( relation_rng @ sk__11 ) )
| ( in @ ( sk__6 @ X0 @ sk__11 ) @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2972]) ).
thf(zip_derived_cl160_002,plain,
! [X0: $i] :
( ( X0
= ( relation_rng @ sk__11 ) )
| ( in @ ( ordered_pair @ ( sk__7 @ X0 @ sk__11 ) @ ( sk__6 @ X0 @ sk__11 ) ) @ sk__11 )
| ( in @ ( sk__6 @ X0 @ sk__11 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl11]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2
!= ( relation_image @ X0 @ X1 ) )
| ( in @ X3 @ X2 )
| ~ ( in @ ( ordered_pair @ X4 @ X3 ) @ X0 )
| ~ ( in @ X4 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d13_relat_1]) ).
thf(zip_derived_cl2967,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__6 @ X0 @ sk__11 ) @ X0 )
| ( X0
= ( relation_rng @ sk__11 ) )
| ~ ( relation @ sk__11 )
| ~ ( in @ ( sk__7 @ X0 @ sk__11 ) @ X1 )
| ( in @ ( sk__6 @ X0 @ sk__11 ) @ X2 )
| ( X2
!= ( relation_image @ sk__11 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl6]) ).
thf(zip_derived_cl26_003,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2971,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__6 @ X0 @ sk__11 ) @ X0 )
| ( X0
= ( relation_rng @ sk__11 ) )
| ~ ( in @ ( sk__7 @ X0 @ sk__11 ) @ X1 )
| ( in @ ( sk__6 @ X0 @ sk__11 ) @ X2 )
| ( X2
!= ( relation_image @ sk__11 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2967,zip_derived_cl26]) ).
thf(zip_derived_cl3212,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__6 @ X0 @ sk__11 ) @ X0 )
| ( X0
= ( relation_rng @ sk__11 ) )
| ( X1
!= ( relation_image @ sk__11 @ ( relation_dom @ sk__11 ) ) )
| ( in @ ( sk__6 @ X0 @ sk__11 ) @ X1 )
| ( X0
= ( relation_rng @ sk__11 ) )
| ( in @ ( sk__6 @ X0 @ sk__11 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2976,zip_derived_cl2971]) ).
thf(zip_derived_cl3214,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__6 @ X0 @ sk__11 ) @ X1 )
| ( X1
!= ( relation_image @ sk__11 @ ( relation_dom @ sk__11 ) ) )
| ( X0
= ( relation_rng @ sk__11 ) )
| ( in @ ( sk__6 @ X0 @ sk__11 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3212]) ).
thf(zip_derived_cl3216,plain,
! [X0: $i] :
( ( in @ ( sk__6 @ X0 @ sk__11 ) @ X0 )
| ( X0
= ( relation_rng @ sk__11 ) )
| ( in @ ( sk__6 @ X0 @ sk__11 ) @ ( relation_image @ sk__11 @ ( relation_dom @ sk__11 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3214]) ).
thf(zip_derived_cl3438,plain,
( ( ( relation_image @ sk__11 @ ( relation_dom @ sk__11 ) )
= ( relation_rng @ sk__11 ) )
| ( in @ ( sk__6 @ ( relation_image @ sk__11 @ ( relation_dom @ sk__11 ) ) @ sk__11 ) @ ( relation_image @ sk__11 @ ( relation_dom @ sk__11 ) ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl3216]) ).
thf(zip_derived_cl27,plain,
( ( relation_image @ sk__11 @ ( relation_dom @ sk__11 ) )
!= ( relation_rng @ sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3439,plain,
in @ ( sk__6 @ ( relation_image @ sk__11 @ ( relation_dom @ sk__11 ) ) @ sk__11 ) @ ( relation_image @ sk__11 @ ( relation_dom @ sk__11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3438,zip_derived_cl27]) ).
thf(zip_derived_cl3487,plain,
( ( ( relation_image @ sk__11 @ ( relation_dom @ sk__11 ) )
= ( relation_rng @ sk__11 ) )
| ~ ( relation @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl86,zip_derived_cl3439]) ).
thf(zip_derived_cl26_004,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3489,plain,
( ( relation_image @ sk__11 @ ( relation_dom @ sk__11 ) )
= ( relation_rng @ sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3487,zip_derived_cl26]) ).
thf(zip_derived_cl27_005,plain,
( ( relation_image @ sk__11 @ ( relation_dom @ sk__11 ) )
!= ( relation_rng @ sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3490,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3489,zip_derived_cl27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SEU206+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.geFFgG7Cow true
% 0.09/0.30 % Computer : n024.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Aug 23 14:55:55 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.30 % Python version: Python 3.6.8
% 0.09/0.31 % Running in FO mode
% 0.15/0.59 % Total configuration time : 435
% 0.15/0.59 % Estimated wc time : 1092
% 0.15/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.09/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 10.36/2.03 % Solved by fo/fo4.sh.
% 10.36/2.03 % done 533 iterations in 1.290s
% 10.36/2.03 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.36/2.03 % SZS output start Refutation
% See solution above
% 10.36/2.03
% 10.36/2.03
% 10.36/2.03 % Terminating...
% 10.36/2.21 % Runner terminated.
% 10.36/2.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------