TSTP Solution File: KRS101+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KRS101+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xLWPU1xSHE true
% Computer : n032.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 05:56:27 EDT 2023
% Result : Unsatisfiable 0.15s 0.60s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of formulae : 57 ( 4 unt; 17 typ; 0 def)
% Number of atoms : 125 ( 14 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 369 ( 65 ~; 61 |; 12 &; 219 @)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 85 ( 0 ^; 79 !; 6 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
thf(cc_type,type,
cc: $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(cUnsatisfiable_type,type,
cUnsatisfiable: $i > $o ).
thf(rs_type,type,
rs: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(rr_type,type,
rr: $i > $i > $o ).
thf(cd_type,type,
cd: $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(i2003_11_14_17_20_36582_type,type,
i2003_11_14_17_20_36582: $i ).
thf(axiom_2,axiom,
! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rr @ X @ Y )
& ~ ! [Z0: $i,Z1: $i] :
( ( ( rs @ Y @ Z1 )
& ( rs @ Y @ Z0 ) )
=> ( Z0 = Z1 ) ) )
& ! [Y: $i] :
( ( rr @ X @ Y )
=> ( ( cc @ Y )
| ~ ? [Z0: $i,Z1: $i] :
( ( rs @ Y @ Z0 )
& ( rs @ Y @ Z1 )
& ( Z0 != Z1 ) ) ) )
& ! [Y: $i] :
( ( rr @ X @ Y )
=> ( cd @ Y ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_2 @ Y @ X )
<=> ( ( rr @ X @ Y )
=> ( cd @ Y ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_1 @ Y @ X )
<=> ( ( rr @ X @ Y )
=> ( ~ ? [Z0: $i,Z1: $i] : ( zip_tseitin_0 @ Z1 @ Z0 @ Y )
| ( cc @ Y ) ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [Z1: $i,Z0: $i,Y: $i] :
( ( zip_tseitin_0 @ Z1 @ Z0 @ Y )
<=> ( ( Z0 != Z1 )
& ( rs @ Y @ Z1 )
& ( rs @ Y @ Z0 ) ) ) ).
thf(zf_stmt_6,axiom,
! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ! [Y: $i] : ( zip_tseitin_2 @ Y @ X )
& ! [Y: $i] : ( zip_tseitin_1 @ Y @ X )
& ? [Y: $i] :
( ~ ! [Z0: $i,Z1: $i] :
( ( ( rs @ Y @ Z0 )
& ( rs @ Y @ Z1 ) )
=> ( Z0 = Z1 ) )
& ( rr @ X @ Y ) ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i] :
( ( rs @ ( sk__4 @ X0 ) @ ( sk__6 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
( ( rr @ X0 @ ( sk__4 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ( rs @ ( sk__4 @ X0 ) @ ( sk__5 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ~ ( rs @ X2 @ X1 )
| ~ ( rs @ X2 @ X0 )
| ( X1 = X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( rr @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X2 @ X3 @ X1 )
| ( cc @ X1 )
| ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ ( rs @ X0 @ X2 )
| ~ ( rs @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X0 @ X3 )
| ( cc @ X0 )
| ~ ( rr @ X3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl19]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cUnsatisfiable @ X0 )
| ~ ( rr @ X1 @ ( sk__4 @ X0 ) )
| ( cc @ ( sk__4 @ X0 ) )
| ~ ( zip_tseitin_1 @ ( sk__4 @ X0 ) @ X1 )
| ~ ( rs @ ( sk__4 @ X0 ) @ X2 )
| ( X2
= ( sk__5 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl52]) ).
thf(zip_derived_cl28_001,plain,
! [X0: $i] :
( ( rr @ X0 @ ( sk__4 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ~ ( rr @ X0 @ X1 )
| ( cd @ X1 )
| ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ~ ( cUnsatisfiable @ X0 )
| ~ ( zip_tseitin_2 @ ( sk__4 @ X0 ) @ X0 )
| ( cd @ ( sk__4 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl23]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ~ ( cUnsatisfiable @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( cd @ ( sk__4 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl40,zip_derived_cl26]) ).
thf(axiom_3,axiom,
! [X: $i] :
( ( cc @ X )
=> ~ ( cd @ X ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ~ ( cd @ X0 )
| ~ ( cc @ X0 ) ),
inference(cnf,[status(esa)],[axiom_3]) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ~ ( cUnsatisfiable @ X0 )
| ~ ( cc @ ( sk__4 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl33]) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( sk__5 @ X0 ) )
| ~ ( rs @ ( sk__4 @ X0 ) @ X2 )
| ~ ( zip_tseitin_1 @ ( sk__4 @ X0 ) @ X1 )
| ~ ( rr @ X1 @ ( sk__4 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl55,zip_derived_cl44]) ).
thf(zip_derived_cl28_002,plain,
! [X0: $i] :
( ( rr @ X0 @ ( sk__4 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ( zip_tseitin_0 @ ( sk__1 @ X0 ) @ ( sk_ @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl19_003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( rr @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X2 @ X3 @ X1 )
| ( cc @ X1 )
| ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X2 )
| ~ ( zip_tseitin_1 @ X0 @ X1 )
| ( cc @ X0 )
| ~ ( rr @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl19]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ~ ( cc @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rr @ X1 @ X0 )
| ~ ( zip_tseitin_1 @ X0 @ X1 )
| ( zip_tseitin_1 @ X0 @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ~ ( cUnsatisfiable @ X0 )
| ( zip_tseitin_1 @ ( sk__4 @ X0 ) @ X1 )
| ~ ( zip_tseitin_1 @ ( sk__4 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl47]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ~ ( cUnsatisfiable @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ ( sk__4 @ X0 ) @ X1 )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl48,zip_derived_cl27]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cUnsatisfiable @ X0 )
| ~ ( rr @ X1 @ ( sk__4 @ X0 ) )
| ~ ( rs @ ( sk__4 @ X0 ) @ X2 )
| ( X2
= ( sk__5 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl60,zip_derived_cl49]) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i] :
( ~ ( cUnsatisfiable @ X0 )
| ( X1
= ( sk__5 @ X0 ) )
| ~ ( rs @ ( sk__4 @ X0 ) @ X1 )
| ~ ( cUnsatisfiable @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl61]) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i] :
( ~ ( rs @ ( sk__4 @ X0 ) @ X1 )
| ( X1
= ( sk__5 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ~ ( cUnsatisfiable @ X0 )
| ~ ( cUnsatisfiable @ X0 )
| ( ( sk__6 @ X0 )
= ( sk__5 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl63]) ).
thf(zip_derived_cl69,plain,
! [X0: $i] :
( ( ( sk__6 @ X0 )
= ( sk__5 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ( ( sk__5 @ X0 )
!= ( sk__6 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl70,plain,
! [X0: $i] :
~ ( cUnsatisfiable @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl69,zip_derived_cl31]) ).
thf(axiom_4,axiom,
cUnsatisfiable @ i2003_11_14_17_20_36582 ).
thf(zip_derived_cl34,plain,
cUnsatisfiable @ i2003_11_14_17_20_36582,
inference(cnf,[status(esa)],[axiom_4]) ).
thf(zip_derived_cl71,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl70,zip_derived_cl34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KRS101+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xLWPU1xSHE true
% 0.12/0.29 % Computer : n032.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8042.1875MB
% 0.12/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Mon Aug 28 02:32:45 EDT 2023
% 0.12/0.30 % CPUTime :
% 0.12/0.30 % Running portfolio for 300 s
% 0.12/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.30 % Number of cores: 8
% 0.12/0.30 % Python version: Python 3.6.8
% 0.12/0.30 % Running in FO mode
% 0.15/0.49 % Total configuration time : 435
% 0.15/0.49 % Estimated wc time : 1092
% 0.15/0.49 % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.15/0.60 % Solved by fo/fo7.sh.
% 0.15/0.60 % done 45 iterations in 0.017s
% 0.15/0.60 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.15/0.60 % SZS output start Refutation
% See solution above
% 0.15/0.60
% 0.15/0.60
% 0.15/0.61 % Terminating...
% 0.15/0.70 % Runner terminated.
% 0.15/0.71 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------