TSTP Solution File: NUN076+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN076+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xzpljGgnrp true
% Computer : n020.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 12:54:23 EDT 2023
% Result : Theorem 1.15s 0.82s
% Output : Refutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of formulae : 79 ( 21 unt; 16 typ; 0 def)
% Number of atoms : 151 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 470 ( 75 ~; 61 |; 25 &; 307 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 133 ( 0 ^; 106 !; 27 ?; 133 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(sk__7_type,type,
sk__7: $i > $i > $i ).
thf(r4_type,type,
r4: $i > $i > $i > $o ).
thf(r3_type,type,
r3: $i > $i > $i > $o ).
thf(id_type,type,
id: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(r1_type,type,
r1: $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(r2_type,type,
r2: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(axiom_1a,axiom,
! [X1: $i,X8: $i] :
? [Y4: $i] :
( ? [Y7: $i] :
( ( r3 @ X1 @ X8 @ Y7 )
& ( r2 @ Y7 @ Y4 ) )
& ? [Y5: $i] :
( ? [Y15: $i] :
( ( r3 @ X1 @ Y15 @ Y5 )
& ( r2 @ X8 @ Y15 ) )
& ( id @ Y5 @ Y4 ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__7 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(zip_derived_cl43_001,plain,
! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__7 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(axiom_1,axiom,
? [Y24: $i] :
! [X19: $i] :
( ( ( id @ X19 @ Y24 )
& ( r1 @ X19 ) )
| ( ~ ( r1 @ X19 )
& ~ ( id @ X19 @ Y24 ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [X19: $i,Y24: $i] :
( ( zip_tseitin_1 @ X19 @ Y24 )
=> ( ~ ( id @ X19 @ Y24 )
& ~ ( r1 @ X19 ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [X19: $i,Y24: $i] :
( ( zip_tseitin_0 @ X19 @ Y24 )
=> ( ( r1 @ X19 )
& ( id @ X19 @ Y24 ) ) ) ).
thf(zf_stmt_4,axiom,
? [Y24: $i] :
! [X19: $i] :
( ( zip_tseitin_1 @ X19 @ Y24 )
| ( zip_tseitin_0 @ X19 @ Y24 ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( zip_tseitin_0 @ X0 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ X0 @ sk_ )
| ~ ( r1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( id @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl80,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( id @ X0 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl1]) ).
thf(axiom_6,axiom,
! [X21: $i,X22: $i] :
( ( id @ X22 @ X21 )
| ~ ( id @ X21 @ X22 ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( id @ X0 @ X1 )
| ~ ( id @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_6]) ).
thf(zip_derived_cl85,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( id @ sk_ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl21]) ).
thf(zip_derived_cl80_002,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( id @ X0 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl1]) ).
thf(axiom_7,axiom,
! [X23: $i,X24: $i,X25: $i] :
( ~ ( id @ X24 @ X25 )
| ( id @ X23 @ X25 )
| ~ ( id @ X23 @ X24 ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( id @ X0 @ X1 )
| ( id @ X0 @ X2 )
| ~ ( id @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_7]) ).
thf(zip_derived_cl105,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( id @ sk_ @ X1 )
| ( id @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl22]) ).
thf(zip_derived_cl118,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ( id @ X1 @ X0 )
| ~ ( r1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl105]) ).
thf(axiom_4a,axiom,
! [X4: $i] :
? [Y9: $i] :
( ? [Y16: $i] :
( ( r3 @ X4 @ Y16 @ Y9 )
& ( r1 @ Y16 ) )
& ( id @ Y9 @ X4 ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i] : ( id @ ( sk__12 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] : ( r3 @ X0 @ ( sk__13 @ X0 ) @ ( sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(axiom_5a,axiom,
! [X5: $i] :
? [Y8: $i] :
( ? [Y18: $i] :
( ( r1 @ Y18 )
& ( id @ Y8 @ Y18 ) )
& ? [Y17: $i] :
( ( r4 @ X5 @ Y17 @ Y8 )
& ( r1 @ Y17 ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i] : ( r4 @ X0 @ ( sk__16 @ X0 ) @ ( sk__14 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(thereexistsanevennumberid,conjecture,
? [Y1: $i,Y2: $i,Y3: $i] :
( ? [Y5: $i] :
( ( r3 @ Y2 @ Y3 @ Y5 )
& ( id @ Y5 @ Y1 ) )
& ? [Y4: $i] :
( ? [Y6: $i] :
( ? [Y7: $i] :
( ? [Y8: $i] :
( ( r2 @ Y8 @ Y7 )
& ( r1 @ Y8 ) )
& ( r2 @ Y7 @ Y6 ) )
& ( r4 @ Y6 @ Y2 @ Y4 ) )
& ( id @ Y4 @ Y1 ) ) ) ).
thf(zf_stmt_5,negated_conjecture,
~ ? [Y1: $i,Y2: $i,Y3: $i] :
( ? [Y5: $i] :
( ( r3 @ Y2 @ Y3 @ Y5 )
& ( id @ Y5 @ Y1 ) )
& ? [Y4: $i] :
( ? [Y6: $i] :
( ? [Y7: $i] :
( ? [Y8: $i] :
( ( r2 @ Y8 @ Y7 )
& ( r1 @ Y8 ) )
& ( r2 @ Y7 @ Y6 ) )
& ( r4 @ Y6 @ Y2 @ Y4 ) )
& ( id @ Y4 @ Y1 ) ) ),
inference('cnf.neg',[status(esa)],[thereexistsanevennumberid]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( id @ X0 @ X1 )
| ~ ( r2 @ X2 @ X3 )
| ~ ( r2 @ X4 @ X2 )
| ~ ( r1 @ X4 )
| ~ ( r4 @ X3 @ X5 @ X0 )
| ~ ( id @ X6 @ X1 )
| ~ ( r3 @ X5 @ X7 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r3 @ ( sk__16 @ X0 ) @ X2 @ X1 )
| ~ ( id @ X1 @ X3 )
| ~ ( r1 @ X4 )
| ~ ( r2 @ X4 @ X5 )
| ~ ( r2 @ X5 @ X0 )
| ~ ( id @ ( sk__14 @ X0 ) @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl67]) ).
thf(zip_derived_cl264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( id @ ( sk__14 @ X0 ) @ X1 )
| ~ ( r2 @ X2 @ X0 )
| ~ ( r2 @ X3 @ X2 )
| ~ ( r1 @ X3 )
| ~ ( id @ ( sk__12 @ ( sk__16 @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl228]) ).
thf(zip_derived_cl270,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 )
| ~ ( r2 @ X1 @ X2 )
| ~ ( r2 @ X2 @ X0 )
| ~ ( id @ ( sk__14 @ X0 ) @ ( sk__16 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl264]) ).
thf(zip_derived_cl272,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__14 @ X0 ) )
| ~ ( r1 @ ( sk__16 @ X0 ) )
| ~ ( r2 @ X1 @ X0 )
| ~ ( r2 @ X2 @ X1 )
| ~ ( r1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl270]) ).
thf(zip_derived_cl58,plain,
! [X0: $i] : ( r1 @ ( sk__16 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__14 @ X0 ) )
| ~ ( r2 @ X1 @ X0 )
| ~ ( r2 @ X2 @ X1 )
| ~ ( r1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl58]) ).
thf(zip_derived_cl4_003,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( zip_tseitin_0 @ X0 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl60,plain,
! [X0: $i] : ( id @ ( sk__14 @ X0 ) @ ( sk__15 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl21_004,plain,
! [X0: $i,X1: $i] :
( ( id @ X0 @ X1 )
| ~ ( id @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_6]) ).
thf(zip_derived_cl91,plain,
! [X0: $i] : ( id @ ( sk__15 @ X0 ) @ ( sk__14 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl21]) ).
thf(zip_derived_cl85_005,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( id @ sk_ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl21]) ).
thf(zip_derived_cl22_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( id @ X0 @ X1 )
| ( id @ X0 @ X2 )
| ~ ( id @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_7]) ).
thf(zip_derived_cl107,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( id @ X0 @ X1 )
| ( id @ sk_ @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl22]) ).
thf(zip_derived_cl217,plain,
! [X0: $i] :
( ( id @ sk_ @ ( sk__14 @ X0 ) )
| ~ ( r1 @ ( sk__15 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl107]) ).
thf(zip_derived_cl59,plain,
! [X0: $i] : ( r1 @ ( sk__15 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl223,plain,
! [X0: $i] : ( id @ sk_ @ ( sk__14 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl217,zip_derived_cl59]) ).
thf(zip_derived_cl21_007,plain,
! [X0: $i,X1: $i] :
( ( id @ X0 @ X1 )
| ~ ( id @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_6]) ).
thf(zip_derived_cl233,plain,
! [X0: $i] : ( id @ ( sk__14 @ X0 ) @ sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl21]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl237,plain,
! [X0: $i] :
~ ( zip_tseitin_1 @ ( sk__14 @ X0 ) @ sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl233,zip_derived_cl2]) ).
thf(zip_derived_cl259,plain,
! [X0: $i] : ( zip_tseitin_0 @ ( sk__14 @ X0 ) @ sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl237]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( r1 @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl275,plain,
! [X0: $i] : ( r1 @ ( sk__14 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl0]) ).
thf(zip_derived_cl277,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2 @ X1 @ X0 )
| ~ ( r2 @ X2 @ X1 )
| ~ ( r1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl275]) ).
thf(zip_derived_cl335,plain,
! [X1: $i,X2: $i] :
( ~ ( r1 @ X2 )
| ~ ( r2 @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl277]) ).
thf(zip_derived_cl339,plain,
! [X1: $i] :
~ ( r1 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl335]) ).
thf(zip_derived_cl4_008,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( zip_tseitin_0 @ X0 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(axiom_5,axiom,
! [X20: $i] : ( id @ X20 @ X20 ) ).
thf(zip_derived_cl20,plain,
! [X0: $i] : ( id @ X0 @ X0 ),
inference(cnf,[status(esa)],[axiom_5]) ).
thf(zip_derived_cl2_009,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl70,plain,
! [X0: $i] :
~ ( zip_tseitin_1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl2]) ).
thf(zip_derived_cl72,plain,
zip_tseitin_0 @ sk_ @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl70]) ).
thf(zip_derived_cl0_010,plain,
! [X0: $i,X1: $i] :
( ( r1 @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl74,plain,
r1 @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl0]) ).
thf(zip_derived_cl343,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl339,zip_derived_cl74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN076+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xzpljGgnrp true
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 09:43:14 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.15/0.82 % Solved by fo/fo5.sh.
% 1.15/0.82 % done 165 iterations in 0.063s
% 1.15/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.15/0.82 % SZS output start Refutation
% See solution above
% 1.15/0.82
% 1.15/0.82
% 1.15/0.82 % Terminating...
% 1.97/0.93 % Runner terminated.
% 1.97/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------