TSTP Solution File: NUN081+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN081+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.1BRqq7qP6R 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 12:54:26 EDT 2023
% Result : Theorem 0.20s 0.77s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 25
% Syntax : Number of formulae : 54 ( 13 unt; 15 typ; 0 def)
% Number of atoms : 92 ( 20 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 248 ( 40 ~; 29 |; 20 &; 155 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 2 con; 0-3 aty)
% Number of variables : 89 ( 0 ^; 69 !; 20 ?; 89 :)
% Comments :
%------------------------------------------------------------------------------
thf(r3_type,type,
r3: $i > $i > $i > $o ).
thf(r2_type,type,
r2: $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(r1_type,type,
r1: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $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_cl173,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_cl188,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( sk__1 @ X0 ) )
| ( r2 @ X0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl173,zip_derived_cl8]) ).
thf(zip_derived_cl260,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl260_001,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl260_002,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl188]) ).
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(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_cl170,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_cl181,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl170,zip_derived_cl2]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl232,plain,
! [X0: $i] :
( ( sk__13 @ X0 )
= sk_ ),
inference('s_sup+',[status(thm)],[zip_derived_cl181,zip_derived_cl32]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( sk__12 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl269,plain,
! [X0: $i] : ( r3 @ X0 @ sk_ @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl232,zip_derived_cl33]) ).
thf(xplusyeqthree,conjecture,
? [Y1: $i,Y2: $i,Y3: $i] :
( ? [Y4: $i] :
( ? [Y5: $i] :
( ? [Y6: $i] :
( ? [Y7: $i] :
( ( r2 @ Y7 @ Y6 )
& ( r1 @ Y7 ) )
& ( r2 @ Y6 @ Y5 ) )
& ( r2 @ Y5 @ Y4 ) )
& ( Y3 = Y4 ) )
& ( r3 @ Y1 @ Y2 @ Y3 ) ) ).
thf(zf_stmt_10,negated_conjecture,
~ ? [Y1: $i,Y2: $i,Y3: $i] :
( ? [Y4: $i] :
( ? [Y5: $i] :
( ? [Y6: $i] :
( ? [Y7: $i] :
( ( r2 @ Y7 @ Y6 )
& ( r1 @ Y7 ) )
& ( r2 @ Y6 @ Y5 ) )
& ( r2 @ Y5 @ Y4 ) )
& ( Y3 = Y4 ) )
& ( r3 @ Y1 @ Y2 @ Y3 ) ),
inference('cnf.neg',[status(esa)],[xplusyeqthree]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X1 != X0 )
| ~ ( r2 @ X2 @ X3 )
| ~ ( r2 @ X4 @ X2 )
| ~ ( r1 @ X4 )
| ~ ( r2 @ X3 @ X0 )
| ~ ( r3 @ X5 @ X6 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r3 @ X2 @ X1 @ X0 )
| ~ ( r2 @ X3 @ X0 )
| ~ ( r1 @ X4 )
| ~ ( r2 @ X4 @ X5 )
| ~ ( r2 @ X5 @ X3 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r2 @ X1 @ X0 )
| ~ ( r1 @ X2 )
| ~ ( r2 @ X2 @ X3 )
| ~ ( r2 @ X3 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl264]) ).
thf(zip_derived_cl300,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 )
| ~ ( r2 @ X1 @ X2 )
| ~ ( r2 @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl276]) ).
thf(zip_derived_cl328,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( r2 @ ( sk__1 @ X0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl300]) ).
thf(zip_derived_cl346,plain,
! [X0: $i] :
~ ( r1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl328]) ).
thf(zip_derived_cl32_003,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl232_004,plain,
! [X0: $i] :
( ( sk__13 @ X0 )
= sk_ ),
inference('s_sup+',[status(thm)],[zip_derived_cl181,zip_derived_cl32]) ).
thf(zip_derived_cl236,plain,
r1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl232]) ).
thf(zip_derived_cl354,plain,
$false,
inference('s_sup+',[status(thm)],[zip_derived_cl346,zip_derived_cl236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN081+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.1BRqq7qP6R true
% 0.16/0.34 % Computer : n022.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sun Aug 27 09:51:40 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.16/0.34 % Running portfolio for 300 s
% 0.16/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.34 % Number of cores: 8
% 0.16/0.34 % Python version: Python 3.6.8
% 0.16/0.34 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % Solved by fo/fo6_bce.sh.
% 0.20/0.77 % BCE start: 45
% 0.20/0.77 % BCE eliminated: 0
% 0.20/0.77 % PE start: 45
% 0.20/0.77 logic: eq
% 0.20/0.77 % PE eliminated: 15
% 0.20/0.77 % done 70 iterations in 0.037s
% 0.20/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.77 % SZS output start Refutation
% See solution above
% 0.20/0.77
% 0.20/0.77
% 0.20/0.77 % Terminating...
% 1.57/0.83 % Runner terminated.
% 1.57/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------