TSTP Solution File: NUN059+2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN059+2 : TPTP v8.1.2. Bugfixed v7.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZSxhYwF7ip true
% Computer : n019.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 12:54:16 EDT 2023
% Result : Theorem 0.22s 0.77s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 29
% Syntax : Number of formulae : 62 ( 16 unt; 18 typ; 0 def)
% Number of atoms : 95 ( 25 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 288 ( 36 ~; 26 |; 21 &; 201 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 2 con; 0-4 aty)
% Number of variables : 107 ( 0 ^; 84 !; 23 ?; 107 :)
% Comments :
%------------------------------------------------------------------------------
thf(r3_type,type,
r3: $i > $i > $i > $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(r1_type,type,
r1: $i > $o ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(r4_type,type,
r4: $i > $i > $i > $o ).
thf(axiom_4,axiom,
! [X16: $i,X17: $i] :
? [Y23: $i] :
! [X18: $i] :
( ( ~ ( r4 @ X16 @ X17 @ X18 )
& ( X18 != Y23 ) )
| ( ( r4 @ X16 @ X17 @ X18 )
& ( X18 = Y23 ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_7: $i > $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [X18: $i,Y23: $i,X17: $i,X16: $i] :
( ( zip_tseitin_7 @ X18 @ Y23 @ X17 @ X16 )
=> ( ( X18 = Y23 )
& ( r4 @ X16 @ X17 @ X18 ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [X18: $i,Y23: $i,X17: $i,X16: $i] :
( ( zip_tseitin_6 @ X18 @ Y23 @ X17 @ X16 )
=> ( ( X18 != Y23 )
& ~ ( r4 @ X16 @ X17 @ X18 ) ) ) ).
thf(zf_stmt_4,axiom,
! [X16: $i,X17: $i] :
? [Y23: $i] :
! [X18: $i] :
( ( zip_tseitin_7 @ X18 @ Y23 @ X17 @ X16 )
| ( zip_tseitin_6 @ X18 @ Y23 @ X17 @ X16 ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_7 @ X0 @ ( sk__3 @ X1 @ X2 ) @ X1 @ X2 )
| ( zip_tseitin_6 @ X0 @ ( sk__3 @ X1 @ X2 ) @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ~ ( zip_tseitin_6 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_7 @ X2 @ ( sk__3 @ X1 @ X0 ) @ X1 @ X0 )
| ( X2
!= ( sk__3 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl15]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r4 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_7 @ X2 @ X3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( sk__3 @ X1 @ X0 ) )
| ( r4 @ X0 @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl175,zip_derived_cl18]) ).
thf(zip_derived_cl271,plain,
! [X0: $i,X1: $i] : ( r4 @ X0 @ X1 @ ( sk__3 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl194]) ).
thf(axiom_5a,axiom,
! [X5: $i] :
? [Y8: $i] :
( ? [Y18: $i] :
( ( Y8 = Y18 )
& ( r1 @ Y18 ) )
& ? [Y17: $i] :
( ( r4 @ X5 @ Y17 @ Y8 )
& ( r1 @ Y17 ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i] : ( r4 @ X0 @ ( sk__16 @ X0 ) @ ( sk__14 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] : ( r1 @ ( sk__16 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(axiom_1,axiom,
? [Y24: $i] :
! [X19: $i] :
( ( ~ ( r1 @ X19 )
& ( X19 != Y24 ) )
| ( ( r1 @ X19 )
& ( X19 = Y24 ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [X19: $i,Y24: $i] :
( ( zip_tseitin_1 @ X19 @ Y24 )
=> ( ( X19 = Y24 )
& ( r1 @ X19 ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [X19: $i,Y24: $i] :
( ( zip_tseitin_0 @ X19 @ Y24 )
=> ( ( X19 != Y24 )
& ~ ( r1 @ X19 ) ) ) ).
thf(zf_stmt_9,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_9]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl168,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ~ ( r1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl179,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl168,zip_derived_cl2]) ).
thf(zip_derived_cl226,plain,
! [X0: $i] :
( ( sk__16 @ X0 )
= sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl179]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] : ( r1 @ ( sk__15 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( sk__14 @ X0 )
= ( sk__15 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl232,plain,
! [X0: $i] : ( r1 @ ( sk__14 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl36]) ).
thf(zip_derived_cl179_001,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl168,zip_derived_cl2]) ).
thf(zip_derived_cl233,plain,
! [X0: $i] :
( ( sk__14 @ X0 )
= sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl179]) ).
thf(zip_derived_cl265,plain,
! [X0: $i] : ( r4 @ X0 @ sk_ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl226,zip_derived_cl233]) ).
thf(fermattothepoweroftwo,conjecture,
? [Y1: $i,Y3: $i,Y2: $i,Y4: $i] :
( ? [Y6: $i] :
( ? [Y7: $i] :
( ( r3 @ Y7 @ Y6 @ Y4 )
& ( r4 @ Y1 @ Y1 @ Y7 ) )
& ( r4 @ Y3 @ Y3 @ Y6 ) )
& ? [Y5: $i] :
( ( Y4 = Y5 )
& ( r4 @ Y2 @ Y2 @ Y5 ) ) ) ).
thf(zf_stmt_10,negated_conjecture,
~ ? [Y1: $i,Y3: $i,Y2: $i,Y4: $i] :
( ? [Y6: $i] :
( ? [Y7: $i] :
( ( r3 @ Y7 @ Y6 @ Y4 )
& ( r4 @ Y1 @ Y1 @ Y7 ) )
& ( r4 @ Y3 @ Y3 @ Y6 ) )
& ? [Y5: $i] :
( ( Y4 = Y5 )
& ( r4 @ Y2 @ Y2 @ Y5 ) ) ),
inference('cnf.neg',[status(esa)],[fermattothepoweroftwo]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( r4 @ X0 @ X0 @ X1 )
| ~ ( r3 @ X2 @ X1 @ X3 )
| ~ ( r4 @ X4 @ X4 @ X2 )
| ~ ( r4 @ X5 @ X5 @ X6 )
| ( X3 != X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r4 @ X1 @ X1 @ X0 )
| ~ ( r4 @ X3 @ X3 @ X2 )
| ~ ( r3 @ X2 @ X4 @ X0 )
| ~ ( r4 @ X5 @ X5 @ X4 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r4 @ X3 @ X3 @ X2 )
| ~ ( r3 @ X0 @ X2 @ X0 )
| ~ ( r4 @ X1 @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl269]) ).
thf(zip_derived_cl302,plain,
! [X0: $i,X1: $i] :
( ~ ( r3 @ X0 @ sk_ @ X0 )
| ~ ( r4 @ X1 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl278]) ).
thf(axiom_4a,axiom,
! [X4: $i] :
? [Y9: $i] :
( ( Y9 = X4 )
& ? [Y16: $i] :
( ( r3 @ X4 @ Y16 @ Y9 )
& ( r1 @ Y16 ) ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i] : ( r3 @ X0 @ ( sk__13 @ X0 ) @ ( sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl179_002,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl168,zip_derived_cl2]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl220,plain,
! [X0: $i] :
( ( sk__13 @ X0 )
= sk_ ),
inference('s_sup+',[status(thm)],[zip_derived_cl179,zip_derived_cl32]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( sk__12 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl263,plain,
! [X0: $i] : ( r3 @ X0 @ sk_ @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl220,zip_derived_cl33]) ).
thf(zip_derived_cl304,plain,
! [X0: $i,X1: $i] :
~ ( r4 @ X1 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl263]) ).
thf(zip_derived_cl313,plain,
$false,
inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUN059+2 : TPTP v8.1.2. Bugfixed v7.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZSxhYwF7ip true
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 09:38:28 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % Solved by fo/fo6_bce.sh.
% 0.22/0.77 % BCE start: 45
% 0.22/0.77 % BCE eliminated: 0
% 0.22/0.77 % PE start: 45
% 0.22/0.77 logic: eq
% 0.22/0.77 % PE eliminated: 13
% 0.22/0.77 % done 67 iterations in 0.031s
% 0.22/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.77 % SZS output start Refutation
% See solution above
% 0.22/0.77
% 0.22/0.77
% 0.22/0.77 % Terminating...
% 0.22/0.88 % Runner terminated.
% 0.22/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------