TSTP Solution File: NUN062+2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN062+2 : 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.rgDs4aK5ha true
% Computer : n008.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 12:54:18 EDT 2023
% Result : Theorem 1.35s 0.77s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 29
% Syntax : Number of formulae : 60 ( 13 unt; 17 typ; 0 def)
% Number of atoms : 93 ( 30 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 255 ( 39 ~; 28 |; 18 &; 166 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-4 aty)
% Number of variables : 101 ( 0 ^; 85 !; 16 ?; 101 :)
% Comments :
%------------------------------------------------------------------------------
thf(r3_type,type,
r3: $i > $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i > $i ).
thf(sk__21_type,type,
sk__21: $i > $i ).
thf(r2_type,type,
r2: $i > $i > $o ).
thf(r1_type,type,
r1: $i > $o ).
thf(sk__20_type,type,
sk__20: $i ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
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_cl21,plain,
! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__7 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(axiom_7a,axiom,
! [X7: $i,Y10: $i] :
( ~ ( r2 @ X7 @ Y10 )
| ! [Y20: $i] :
( ( Y20 != Y10 )
| ~ ( r1 @ Y20 ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2 @ X0 @ X1 )
| ~ ( r1 @ X2 )
| ( X2 != X1 ) ),
inference(cnf,[status(esa)],[axiom_7a]) ).
thf(zip_derived_cl245,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( r2 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl254,plain,
! [X0: $i,X1: $i] :
~ ( r1 @ ( sk__7 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl245]) ).
thf(axiom_3,axiom,
! [X13: $i,X14: $i] :
? [Y22: $i] :
! [X15: $i] :
( ( ~ ( r3 @ X13 @ X14 @ X15 )
& ( X15 != Y22 ) )
| ( ( r3 @ X13 @ X14 @ X15 )
& ( X15 = Y22 ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_5: $i > $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [X15: $i,Y22: $i,X14: $i,X13: $i] :
( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 )
=> ( ( X15 = Y22 )
& ( r3 @ X13 @ X14 @ X15 ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [X15: $i,Y22: $i,X14: $i,X13: $i] :
( ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 )
=> ( ( X15 != Y22 )
& ~ ( r3 @ X13 @ X14 @ X15 ) ) ) ).
thf(zf_stmt_4,axiom,
! [X13: $i,X14: $i] :
? [Y22: $i] :
! [X15: $i] :
( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 )
| ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X0 @ ( sk__2 @ X1 @ X2 ) @ X1 @ X2 )
| ( zip_tseitin_4 @ X0 @ ( sk__2 @ X1 @ X2 ) @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ~ ( zip_tseitin_4 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl172,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X2 @ ( sk__2 @ X1 @ X0 ) @ X1 @ X0 )
| ( X2
!= ( sk__2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl10]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r3 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_5 @ X2 @ X3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl189,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( sk__2 @ X1 @ X0 ) )
| ( r3 @ X0 @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl172,zip_derived_cl13]) ).
thf(zip_derived_cl273,plain,
! [X0: $i,X1: $i] : ( r3 @ X0 @ X1 @ ( sk__2 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl189]) ).
thf(infiniteNumbers,conjecture,
! [X1: $i] :
? [Y2: $i,Y1: $i] :
( ? [Y3: $i] :
( ( Y3 = Y2 )
& ( r3 @ X1 @ Y1 @ Y3 ) )
& ! [Y4: $i] :
( ( Y1 != Y4 )
| ~ ( r1 @ Y4 ) ) ) ).
thf(zf_stmt_5,negated_conjecture,
~ ! [X1: $i] :
? [Y2: $i,Y1: $i] :
( ? [Y3: $i] :
( ( Y3 = Y2 )
& ( r3 @ X1 @ Y1 @ Y3 ) )
& ! [Y4: $i] :
( ( Y1 != Y4 )
| ~ ( r1 @ Y4 ) ) ),
inference('cnf.neg',[status(esa)],[infiniteNumbers]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r3 @ sk__20 @ X0 @ X1 )
| ( X1 != X2 )
| ( X0
= ( sk__21 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl275,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( sk__21 @ X0 ) )
| ~ ( r3 @ sk__20 @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl300,plain,
! [X0: $i] :
( X0
= ( sk__21 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl275]) ).
thf(zip_derived_cl273_001,plain,
! [X0: $i,X1: $i] : ( r3 @ X0 @ X1 @ ( sk__2 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl189]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r3 @ sk__20 @ X0 @ X1 )
| ( X1 != X2 )
| ( r1 @ ( sk__21 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl277,plain,
! [X0: $i,X1: $i] :
( ( r1 @ ( sk__21 @ X0 ) )
| ~ ( r3 @ sk__20 @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl288,plain,
! [X0: $i] : ( r1 @ ( sk__21 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl277]) ).
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_cl167,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_cl178,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl167,zip_derived_cl2]) ).
thf(zip_derived_cl296,plain,
! [X0: $i] :
( ( sk__21 @ X0 )
= sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl178]) ).
thf(zip_derived_cl307,plain,
! [X0: $i] : ( X0 = sk_ ),
inference('s_sup+',[status(thm)],[zip_derived_cl300,zip_derived_cl296]) ).
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(zip_derived_cl178_002,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl167,zip_derived_cl2]) ).
thf(zip_derived_cl32_003,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl246,plain,
! [X0: $i] :
( ( sk__13 @ X0 )
= sk_ ),
inference('s_sup+',[status(thm)],[zip_derived_cl178,zip_derived_cl32]) ).
thf(zip_derived_cl250,plain,
r1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl246]) ).
thf(zip_derived_cl323,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl307,zip_derived_cl250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN062+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rgDs4aK5ha true
% 0.16/0.35 % Computer : n008.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Sun Aug 27 09:05:02 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.16/0.35 % Running portfolio for 300 s
% 0.16/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.35 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.16/0.36 % 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
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.35/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.35/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.35/0.77 % Solved by fo/fo6_bce.sh.
% 1.35/0.77 % BCE start: 46
% 1.35/0.77 % BCE eliminated: 0
% 1.35/0.77 % PE start: 46
% 1.35/0.77 logic: eq
% 1.35/0.77 % PE eliminated: 15
% 1.35/0.77 % done 61 iterations in 0.031s
% 1.35/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.35/0.77 % SZS output start Refutation
% See solution above
% 1.35/0.77
% 1.35/0.77
% 1.35/0.77 % Terminating...
% 1.50/0.87 % Runner terminated.
% 1.50/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------