TSTP Solution File: GRA010+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRA010+1 : TPTP v8.1.2. Bugfixed 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.iMH0fpReKs true
% Computer : n027.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 00:10:11 EDT 2023
% Result : Theorem 1.44s 0.89s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of formulae : 58 ( 21 unt; 17 typ; 0 def)
% Number of atoms : 82 ( 27 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 352 ( 21 ~; 23 |; 9 &; 290 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 8 con; 0-3 aty)
% Number of variables : 46 ( 0 ^; 43 !; 3 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(sequential_type,type,
sequential: $i > $i > $o ).
thf(length_of_type,type,
length_of: $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(sk__10_type,type,
sk__10: $i > $i > $i ).
thf(minus_type,type,
minus: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(number_of_in_type,type,
number_of_in: $i > $i > $i ).
thf(sequential_pairs_type,type,
sequential_pairs: $i ).
thf(on_path_type,type,
on_path: $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(triangle_type,type,
triangle: $i > $i > $i > $o ).
thf(n1_type,type,
n1: $i ).
thf(path_type,type,
path: $i > $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(complete_type,type,
complete: $o ).
thf(triangles_type,type,
triangles: $i ).
thf(complete_means_sequential_pairs_and_triangles,conjecture,
( complete
=> ! [P: $i,V1: $i,V2: $i] :
( ( ( path @ V1 @ V2 @ P )
& ! [E1: $i,E2: $i] :
( ( ( on_path @ E1 @ P )
& ( on_path @ E2 @ P )
& ( sequential @ E1 @ E2 ) )
=> ? [E3: $i] : ( triangle @ E1 @ E2 @ E3 ) ) )
=> ( ( number_of_in @ sequential_pairs @ P )
= ( number_of_in @ triangles @ P ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( complete
=> ! [P: $i,V1: $i,V2: $i] :
( ( ( path @ V1 @ V2 @ P )
& ! [E1: $i,E2: $i] :
( ( ( on_path @ E1 @ P )
& ( on_path @ E2 @ P )
& ( sequential @ E1 @ E2 ) )
=> ? [E3: $i] : ( triangle @ E1 @ E2 @ E3 ) ) )
=> ( ( number_of_in @ sequential_pairs @ P )
= ( number_of_in @ triangles @ P ) ) ) ),
inference('cnf.neg',[status(esa)],[complete_means_sequential_pairs_and_triangles]) ).
thf(zip_derived_cl62,plain,
path @ sk__9 @ sk__11 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62_001,plain,
path @ sk__9 @ sk__11 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(sequential_pairs_and_triangles,axiom,
! [P: $i,V1: $i,V2: $i] :
( ( ( path @ V1 @ V2 @ P )
& ! [E1: $i,E2: $i] :
( ( ( on_path @ E1 @ P )
& ( on_path @ E2 @ P )
& ( sequential @ E1 @ E2 ) )
=> ? [E3: $i] : ( triangle @ E1 @ E2 @ E3 ) ) )
=> ( ( number_of_in @ sequential_pairs @ P )
= ( number_of_in @ triangles @ P ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( number_of_in @ sequential_pairs @ X0 )
= ( number_of_in @ triangles @ X0 ) )
| ( sequential @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) )
| ~ ( path @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[sequential_pairs_and_triangles]) ).
thf(zip_derived_cl278,plain,
( ( sequential @ ( sk__6 @ sk__8 ) @ ( sk__7 @ sk__8 ) )
| ( ( number_of_in @ sequential_pairs @ sk__8 )
= ( number_of_in @ triangles @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl55]) ).
thf(zip_derived_cl62_002,plain,
path @ sk__9 @ sk__11 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(path_length_sequential_pairs,axiom,
! [V1: $i,V2: $i,P: $i] :
( ( path @ V1 @ V2 @ P )
=> ( ( number_of_in @ sequential_pairs @ P )
= ( minus @ ( length_of @ P ) @ n1 ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( number_of_in @ sequential_pairs @ X0 )
= ( minus @ ( length_of @ X0 ) @ n1 ) )
| ~ ( path @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[path_length_sequential_pairs]) ).
thf(zip_derived_cl114,plain,
( ( number_of_in @ sequential_pairs @ sk__8 )
= ( minus @ ( length_of @ sk__8 ) @ n1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl53]) ).
thf(zip_derived_cl279,plain,
( ( sequential @ ( sk__6 @ sk__8 ) @ ( sk__7 @ sk__8 ) )
| ( ( minus @ ( length_of @ sk__8 ) @ n1 )
= ( number_of_in @ triangles @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl278,zip_derived_cl114]) ).
thf(zip_derived_cl60,plain,
( ( number_of_in @ sequential_pairs @ sk__8 )
!= ( number_of_in @ triangles @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114_003,plain,
( ( number_of_in @ sequential_pairs @ sk__8 )
= ( minus @ ( length_of @ sk__8 ) @ n1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl53]) ).
thf(zip_derived_cl116,plain,
( ( minus @ ( length_of @ sk__8 ) @ n1 )
!= ( number_of_in @ triangles @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl114]) ).
thf(zip_derived_cl280,plain,
sequential @ ( sk__6 @ sk__8 ) @ ( sk__7 @ sk__8 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl279,zip_derived_cl116]) ).
thf(zip_derived_cl62_004,plain,
path @ sk__9 @ sk__11 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( number_of_in @ sequential_pairs @ X0 )
= ( number_of_in @ triangles @ X0 ) )
| ( on_path @ ( sk__6 @ X0 ) @ X0 )
| ~ ( path @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[sequential_pairs_and_triangles]) ).
thf(zip_derived_cl148,plain,
( ( on_path @ ( sk__6 @ sk__8 ) @ sk__8 )
| ( ( number_of_in @ sequential_pairs @ sk__8 )
= ( number_of_in @ triangles @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl57]) ).
thf(zip_derived_cl114_005,plain,
( ( number_of_in @ sequential_pairs @ sk__8 )
= ( minus @ ( length_of @ sk__8 ) @ n1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl53]) ).
thf(zip_derived_cl149,plain,
( ( on_path @ ( sk__6 @ sk__8 ) @ sk__8 )
| ( ( minus @ ( length_of @ sk__8 ) @ n1 )
= ( number_of_in @ triangles @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl114]) ).
thf(zip_derived_cl116_006,plain,
( ( minus @ ( length_of @ sk__8 ) @ n1 )
!= ( number_of_in @ triangles @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl114]) ).
thf(zip_derived_cl150,plain,
on_path @ ( sk__6 @ sk__8 ) @ sk__8,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl149,zip_derived_cl116]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i] :
( ~ ( on_path @ X0 @ sk__8 )
| ~ ( on_path @ X1 @ sk__8 )
| ~ ( sequential @ X0 @ X1 )
| ( triangle @ X0 @ X1 @ ( sk__10 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl210,plain,
! [X0: $i] :
( ( triangle @ ( sk__6 @ sk__8 ) @ X0 @ ( sk__10 @ X0 @ ( sk__6 @ sk__8 ) ) )
| ~ ( sequential @ ( sk__6 @ sk__8 ) @ X0 )
| ~ ( on_path @ X0 @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl61]) ).
thf(zip_derived_cl327,plain,
( ~ ( on_path @ ( sk__7 @ sk__8 ) @ sk__8 )
| ( triangle @ ( sk__6 @ sk__8 ) @ ( sk__7 @ sk__8 ) @ ( sk__10 @ ( sk__7 @ sk__8 ) @ ( sk__6 @ sk__8 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl210]) ).
thf(zip_derived_cl62_007,plain,
path @ sk__9 @ sk__11 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( number_of_in @ sequential_pairs @ X0 )
= ( number_of_in @ triangles @ X0 ) )
| ( on_path @ ( sk__7 @ X0 ) @ X0 )
| ~ ( path @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[sequential_pairs_and_triangles]) ).
thf(zip_derived_cl132,plain,
( ( on_path @ ( sk__7 @ sk__8 ) @ sk__8 )
| ( ( number_of_in @ sequential_pairs @ sk__8 )
= ( number_of_in @ triangles @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl56]) ).
thf(zip_derived_cl114_008,plain,
( ( number_of_in @ sequential_pairs @ sk__8 )
= ( minus @ ( length_of @ sk__8 ) @ n1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl53]) ).
thf(zip_derived_cl133,plain,
( ( on_path @ ( sk__7 @ sk__8 ) @ sk__8 )
| ( ( minus @ ( length_of @ sk__8 ) @ n1 )
= ( number_of_in @ triangles @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl114]) ).
thf(zip_derived_cl116_009,plain,
( ( minus @ ( length_of @ sk__8 ) @ n1 )
!= ( number_of_in @ triangles @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl114]) ).
thf(zip_derived_cl134,plain,
on_path @ ( sk__7 @ sk__8 ) @ sk__8,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl133,zip_derived_cl116]) ).
thf(zip_derived_cl328,plain,
triangle @ ( sk__6 @ sk__8 ) @ ( sk__7 @ sk__8 ) @ ( sk__10 @ ( sk__7 @ sk__8 ) @ ( sk__6 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl327,zip_derived_cl134]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( number_of_in @ sequential_pairs @ X0 )
= ( number_of_in @ triangles @ X0 ) )
| ~ ( triangle @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) @ X1 )
| ~ ( path @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[sequential_pairs_and_triangles]) ).
thf(zip_derived_cl474,plain,
! [X0: $i,X1: $i] :
( ~ ( path @ X1 @ X0 @ sk__8 )
| ( ( number_of_in @ sequential_pairs @ sk__8 )
= ( number_of_in @ triangles @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl328,zip_derived_cl54]) ).
thf(zip_derived_cl114_010,plain,
( ( number_of_in @ sequential_pairs @ sk__8 )
= ( minus @ ( length_of @ sk__8 ) @ n1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl53]) ).
thf(zip_derived_cl475,plain,
! [X0: $i,X1: $i] :
( ~ ( path @ X1 @ X0 @ sk__8 )
| ( ( minus @ ( length_of @ sk__8 ) @ n1 )
= ( number_of_in @ triangles @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl474,zip_derived_cl114]) ).
thf(zip_derived_cl116_011,plain,
( ( minus @ ( length_of @ sk__8 ) @ n1 )
!= ( number_of_in @ triangles @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl114]) ).
thf(zip_derived_cl476,plain,
! [X0: $i,X1: $i] :
~ ( path @ X1 @ X0 @ sk__8 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl475,zip_derived_cl116]) ).
thf(zip_derived_cl479,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl476]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRA010+1 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iMH0fpReKs true
% 0.14/0.35 % Computer : n027.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 03:40:05 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % 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
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.44/0.89 % Solved by fo/fo5.sh.
% 1.44/0.89 % done 191 iterations in 0.098s
% 1.44/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.44/0.89 % SZS output start Refutation
% See solution above
% 1.44/0.89
% 1.44/0.89
% 1.44/0.89 % Terminating...
% 2.14/0.97 % Runner terminated.
% 2.14/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------