TSTP Solution File: NUN060+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN060+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VznSX9hKZr true
% Computer : n022.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 12:54:17 EDT 2023
% Result : Theorem 0.21s 0.75s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 26
% Syntax : Number of formulae : 54 ( 11 unt; 15 typ; 0 def)
% Number of atoms : 104 ( 19 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 292 ( 47 ~; 35 |; 26 &; 180 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 2 con; 0-3 aty)
% Number of variables : 103 ( 0 ^; 77 !; 26 ?; 103 :)
% Comments :
%------------------------------------------------------------------------------
thf(r3_type,type,
r3: $i > $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(r2_type,type,
r2: $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(r1_type,type,
r1: $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(axiom_2,axiom,
! [X11: $i] :
? [Y21: $i] :
! [X12: $i] :
( ( ~ ( r2 @ X11 @ X12 )
& ( X12 != Y21 ) )
| ( ( r2 @ X11 @ X12 )
& ( X12 = Y21 ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [X12: $i,Y21: $i,X11: $i] :
( ( zip_tseitin_3 @ X12 @ Y21 @ X11 )
=> ( ( X12 = Y21 )
& ( r2 @ X11 @ X12 ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [X12: $i,Y21: $i,X11: $i] :
( ( zip_tseitin_2 @ X12 @ Y21 @ X11 )
=> ( ( X12 != Y21 )
& ~ ( r2 @ X11 @ X12 ) ) ) ).
thf(zf_stmt_4,axiom,
! [X11: $i] :
? [Y21: $i] :
! [X12: $i] :
( ( zip_tseitin_3 @ X12 @ Y21 @ X11 )
| ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 @ ( sk__1 @ X1 ) @ X1 )
| ( zip_tseitin_2 @ X0 @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl175,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X1 @ ( sk__1 @ X0 ) @ X0 )
| ( X1
!= ( sk__1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r2 @ X0 @ X1 )
| ~ ( zip_tseitin_3 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl190,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( sk__1 @ X0 ) )
| ( r2 @ X0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl175,zip_derived_cl8]) ).
thf(zip_derived_cl262,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl262_001,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl262_002,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl262_003,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl190]) ).
thf(axiom_1a,axiom,
! [X1: $i,X8: $i] :
? [Y4: $i] :
( ? [Y7: $i] :
( ( r3 @ X1 @ X8 @ Y7 )
& ( r2 @ Y7 @ Y4 ) )
& ? [Y5: $i] :
( ( Y5 = Y4 )
& ? [Y15: $i] :
( ( r3 @ X1 @ Y15 @ Y5 )
& ( r2 @ X8 @ Y15 ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] : ( r3 @ X0 @ X1 @ ( sk__5 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(greq4,conjecture,
? [Y1: $i,Y2: $i,Y3: $i] :
( ? [Y4: $i] :
( ? [Y5: $i] :
( ? [Y6: $i] :
( ? [Y7: $i] :
( ? [Y8: $i] :
( ( r2 @ Y8 @ Y7 )
& ( r1 @ Y8 ) )
& ( r2 @ Y7 @ Y6 ) )
& ( r2 @ Y6 @ Y5 ) )
& ( r2 @ Y5 @ Y4 ) )
& ( r3 @ Y2 @ Y4 @ Y3 ) )
& ( Y3 = Y1 ) ) ).
thf(zf_stmt_5,negated_conjecture,
~ ? [Y1: $i,Y2: $i,Y3: $i] :
( ? [Y4: $i] :
( ? [Y5: $i] :
( ? [Y6: $i] :
( ? [Y7: $i] :
( ? [Y8: $i] :
( ( r2 @ Y8 @ Y7 )
& ( r1 @ Y8 ) )
& ( r2 @ Y7 @ Y6 ) )
& ( r2 @ Y6 @ Y5 ) )
& ( r2 @ Y5 @ Y4 ) )
& ( r3 @ Y2 @ Y4 @ Y3 ) )
& ( Y3 = Y1 ) ),
inference('cnf.neg',[status(esa)],[greq4]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r3 @ X0 @ X1 @ X2 )
| ~ ( r2 @ X3 @ X4 )
| ~ ( r1 @ X5 )
| ~ ( r2 @ X5 @ X6 )
| ~ ( r2 @ X6 @ X3 )
| ~ ( r2 @ X4 @ X1 )
| ( X2 != X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( r2 @ X1 @ X0 )
| ~ ( r2 @ X3 @ X2 )
| ~ ( r2 @ X4 @ X3 )
| ~ ( r1 @ X4 )
| ~ ( r2 @ X2 @ X1 )
| ~ ( r3 @ X6 @ X0 @ X5 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl277,plain,
! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r2 @ X2 @ X1 )
| ~ ( r2 @ X4 @ X3 )
| ~ ( r2 @ X5 @ X4 )
| ~ ( r1 @ X5 )
| ~ ( r2 @ X3 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl271]) ).
thf(zip_derived_cl302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r2 @ X2 @ X1 )
| ~ ( r2 @ X3 @ X2 )
| ~ ( r1 @ X3 )
| ~ ( r2 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl277]) ).
thf(zip_derived_cl331,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2 @ X1 @ X0 )
| ~ ( r1 @ X1 )
| ~ ( r2 @ ( sk__1 @ X0 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl302]) ).
thf(zip_derived_cl353,plain,
! [X0: $i,X1: $i] :
( ~ ( r2 @ X1 @ X0 )
| ~ ( r1 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl331]) ).
thf(zip_derived_cl375,plain,
! [X0: $i] :
~ ( r1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl353]) ).
thf(axiom_4a,axiom,
! [X4: $i] :
? [Y9: $i] :
( ( Y9 = X4 )
& ? [Y16: $i] :
( ( r3 @ X4 @ Y16 @ Y9 )
& ( r1 @ Y16 ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(axiom_1,axiom,
? [Y24: $i] :
! [X19: $i] :
( ( ~ ( r1 @ X19 )
& ( X19 != Y24 ) )
| ( ( r1 @ X19 )
& ( X19 = Y24 ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_7,axiom,
! [X19: $i,Y24: $i] :
( ( zip_tseitin_1 @ X19 @ Y24 )
=> ( ( X19 = Y24 )
& ( r1 @ X19 ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_9,axiom,
! [X19: $i,Y24: $i] :
( ( zip_tseitin_0 @ X19 @ Y24 )
=> ( ( X19 != Y24 )
& ~ ( r1 @ X19 ) ) ) ).
thf(zf_stmt_10,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_10]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl172,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_7]) ).
thf(zip_derived_cl183,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl172,zip_derived_cl2]) ).
thf(zip_derived_cl32_004,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl234,plain,
! [X0: $i] :
( ( sk__13 @ X0 )
= sk_ ),
inference('s_sup+',[status(thm)],[zip_derived_cl183,zip_derived_cl32]) ).
thf(zip_derived_cl238,plain,
r1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl234]) ).
thf(zip_derived_cl385,plain,
$false,
inference('s_sup+',[status(thm)],[zip_derived_cl375,zip_derived_cl238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN060+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VznSX9hKZr true
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 09:52:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75 % Solved by fo/fo6_bce.sh.
% 0.21/0.75 % BCE start: 45
% 0.21/0.75 % BCE eliminated: 0
% 0.21/0.75 % PE start: 45
% 0.21/0.75 logic: eq
% 0.21/0.75 % PE eliminated: 15
% 0.21/0.75 % done 77 iterations in 0.042s
% 0.21/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.75 % SZS output start Refutation
% See solution above
% 0.21/0.75
% 0.21/0.75
% 0.21/0.75 % Terminating...
% 1.09/0.84 % Runner terminated.
% 1.09/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------