TSTP Solution File: NUN073+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN073+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.7si6a3OwIe true
% Computer : n002.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 12:54:22 EDT 2023
% Result : Theorem 1.24s 0.76s
% Output : Refutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 50 ( 14 unt; 12 typ; 0 def)
% Number of atoms : 81 ( 25 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 180 ( 47 ~; 37 |; 4 &; 90 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 53 ( 0 ^; 51 !; 2 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__21_type,type,
sk__21: $i ).
thf(sk__24_type,type,
sk__24: $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__22_type,type,
sk__22: $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(sk__23_type,type,
sk__23: $i ).
thf(sk__type,type,
sk_: $i ).
thf(oneuneqtwo,conjecture,
! [Y1: $i] :
( ! [Y3: $i] :
( ~ ( r2 @ Y3 @ Y1 )
| ! [Y5: $i] :
( ~ ( r2 @ Y5 @ Y3 )
| ~ ( r1 @ Y5 ) ) )
| ! [Y2: $i] :
( ( Y2 != Y1 )
| ! [Y4: $i] :
( ~ ( r2 @ Y4 @ Y2 )
| ~ ( r1 @ Y4 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Y1: $i] :
( ! [Y3: $i] :
( ~ ( r2 @ Y3 @ Y1 )
| ! [Y5: $i] :
( ~ ( r2 @ Y5 @ Y3 )
| ~ ( r1 @ Y5 ) ) )
| ! [Y2: $i] :
( ( Y2 != Y1 )
| ! [Y4: $i] :
( ~ ( r2 @ Y4 @ Y2 )
| ~ ( r1 @ Y4 ) ) ) ),
inference('cnf.neg',[status(esa)],[oneuneqtwo]) ).
thf(zip_derived_cl47,plain,
r2 @ sk__21 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46,plain,
r2 @ sk__24 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(axiom_1,axiom,
? [Y24: $i] :
! [X19: $i] :
( ( ~ ( r1 @ X19 )
& ( X19 != Y24 ) )
| ( ( r1 @ X19 )
& ( X19 = Y24 ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [X19: $i,Y24: $i] :
( ( zip_tseitin_1 @ X19 @ Y24 )
=> ( ( X19 = Y24 )
& ( r1 @ X19 ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [X19: $i,Y24: $i] :
( ( zip_tseitin_0 @ X19 @ Y24 )
=> ( ( X19 != Y24 )
& ~ ( r1 @ X19 ) ) ) ).
thf(zf_stmt_5,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_5]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl175,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_2]) ).
thf(zip_derived_cl186,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl175,zip_derived_cl2]) ).
thf(zip_derived_cl45,plain,
r1 @ sk__24,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl230,plain,
sk__24 = sk_,
inference('s_sup+',[status(thm)],[zip_derived_cl186,zip_derived_cl45]) ).
thf(zip_derived_cl44,plain,
sk__23 = sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl247,plain,
r2 @ sk_ @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl230,zip_derived_cl44]) ).
thf(axiom_3a,axiom,
! [X3: $i,X10: $i] :
( ( X3 = X10 )
| ! [Y12: $i] :
( ~ ( r2 @ X10 @ Y12 )
| ! [Y13: $i] :
( ( Y13 != Y12 )
| ~ ( r2 @ X3 @ Y13 ) ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ( X3 != X2 )
| ~ ( r2 @ X1 @ X3 )
| ~ ( r2 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_3a]) ).
thf(zip_derived_cl248,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2 @ X1 @ X0 )
| ~ ( r2 @ X2 @ X0 )
| ( X2 = X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl267,plain,
! [X0: $i] :
( ~ ( r2 @ X0 @ sk__20 )
| ( X0 = sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl248]) ).
thf(zip_derived_cl282,plain,
sk__21 = sk_,
inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl267]) ).
thf(zip_derived_cl4_001,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( zip_tseitin_0 @ X0 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 != X0 )
| ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl174,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( X0 != sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( r1 @ X0 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl185,plain,
! [X0: $i] :
( ( X0 != sk_ )
| ( r1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl174,zip_derived_cl3]) ).
thf(zip_derived_cl49,plain,
r2 @ sk__22 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl186_002,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl175,zip_derived_cl2]) ).
thf(zip_derived_cl48,plain,
r1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl229,plain,
sk__22 = sk_,
inference('s_sup+',[status(thm)],[zip_derived_cl186,zip_derived_cl48]) ).
thf(zip_derived_cl258,plain,
r2 @ sk_ @ sk__21,
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl229]) ).
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_cl249,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( r2 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl259,plain,
~ ( r1 @ sk__21 ),
inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl249]) ).
thf(zip_derived_cl260,plain,
sk__21 != sk_,
inference('s_sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl259]) ).
thf(zip_derived_cl283,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl282,zip_derived_cl260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUN073+2 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7si6a3OwIe true
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 09:43:33 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.35 % Running portfolio for 300 s
% 0.20/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.76/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.76/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.24/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.24/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.24/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.24/0.76 % Solved by fo/fo6_bce.sh.
% 1.24/0.76 % BCE start: 50
% 1.24/0.76 % BCE eliminated: 0
% 1.24/0.76 % PE start: 50
% 1.24/0.76 logic: eq
% 1.24/0.76 % PE eliminated: 17
% 1.24/0.76 % done 51 iterations in 0.021s
% 1.24/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.24/0.76 % SZS output start Refutation
% See solution above
% 1.24/0.76
% 1.24/0.76
% 1.24/0.76 % Terminating...
% 1.46/0.84 % Runner terminated.
% 1.71/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------