TSTP Solution File: KRS098+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KRS098+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.DAYChjLVSY true
% Computer : n025.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 05:56:26 EDT 2023
% Result : Unsatisfiable 1.22s 0.81s
% Output : Refutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 34
% Syntax : Number of formulae : 73 ( 4 unt; 23 typ; 0 def)
% Number of atoms : 155 ( 21 equ; 0 cnn)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 438 ( 67 ~; 59 |; 33 &; 266 @)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 2 con; 0-3 aty)
% Number of variables : 112 ( 0 ^; 96 !; 16 ?; 112 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(rr_type,type,
rr: $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(rtt_type,type,
rtt: $i > $i > $o ).
thf(rr3_type,type,
rr3: $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i > $i ).
thf(cUnsatisfiable_type,type,
cUnsatisfiable: $i > $o ).
thf(rt1_type,type,
rt1: $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(rt2_type,type,
rt2: $i > $i > $o ).
thf(rr2_type,type,
rr2: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(i2003_11_14_17_20_25524_type,type,
i2003_11_14_17_20_25524: $i ).
thf(ce_type,type,
ce: $i > $o ).
thf(cc_type,type,
cc: $i > $o ).
thf(cd_type,type,
cd: $i > $o ).
thf(rt3_type,type,
rt3: $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(rr1_type,type,
rr1: $i > $i > $o ).
thf(axiom_2,axiom,
! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rr1 @ X @ Y )
& ! [Z0: $i,Z1: $i] :
( ( ( rtt @ Y @ Z1 )
& ( rtt @ Y @ Z0 ) )
=> ( Z0 = Z1 ) )
& ? [Z: $i] :
( ( rt1 @ Y @ Z )
& ( cc @ Z ) ) )
& ~ ? [Y0: $i,Y1: $i] :
( ( rr @ X @ Y0 )
& ( rr @ X @ Y1 )
& ( Y0 != Y1 ) )
& ? [Y: $i] :
( ( rr2 @ X @ Y )
& ! [Z0: $i,Z1: $i] :
( ( ( rtt @ Y @ Z1 )
& ( rtt @ Y @ Z0 ) )
=> ( Z0 = Z1 ) )
& ? [Z: $i] :
( ( rt2 @ Y @ Z )
& ( cd @ Z ) ) )
& ? [Y: $i] :
( ( rr3 @ X @ Y )
& ? [Z: $i] :
( ( rt3 @ Y @ Z )
& ( ce @ Z ) )
& ! [Z0: $i,Z1: $i] :
( ( ( rtt @ Y @ Z1 )
& ( rtt @ Y @ Z0 ) )
=> ( Z0 = Z1 ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [Y1: $i,Y0: $i,X: $i] :
( ( zip_tseitin_2 @ Y1 @ Y0 @ X )
<=> ( ( Y0 != Y1 )
& ( rr @ X @ Y1 )
& ( rr @ X @ Y0 ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [Z1: $i,Z0: $i,Y: $i] :
( ( zip_tseitin_1 @ Z1 @ Z0 @ Y )
<=> ( ( zip_tseitin_0 @ Z1 @ Z0 @ Y )
=> ( Z0 = Z1 ) ) ) ).
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 )
<=> ( ( rtt @ Y @ Z0 )
& ( rtt @ Y @ Z1 ) ) ) ).
thf(zf_stmt_6,axiom,
! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ! [Z0: $i,Z1: $i] : ( zip_tseitin_1 @ Z1 @ Z0 @ Y )
& ? [Z: $i] :
( ( ce @ Z )
& ( rt3 @ Y @ Z ) )
& ( rr3 @ X @ Y ) )
& ? [Y: $i] :
( ? [Z: $i] :
( ( cd @ Z )
& ( rt2 @ Y @ Z ) )
& ! [Z0: $i,Z1: $i] : ( zip_tseitin_1 @ Z1 @ Z0 @ Y )
& ( rr2 @ X @ Y ) )
& ~ ? [Y0: $i,Y1: $i] : ( zip_tseitin_2 @ Y1 @ Y0 @ X )
& ? [Y: $i] :
( ? [Z: $i] :
( ( cc @ Z )
& ( rt1 @ Y @ Z ) )
& ! [Z0: $i,Z1: $i] : ( zip_tseitin_1 @ Z1 @ Z0 @ Y )
& ( rr1 @ X @ Y ) ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( rr2 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(axiom_9,axiom,
! [X: $i,Y: $i] :
( ( rr2 @ X @ Y )
=> ( rr @ X @ Y ) ) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i] :
( ( rr @ X0 @ X1 )
| ~ ( rr2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_9]) ).
thf(zip_derived_cl83,plain,
! [X0: $i] :
( ~ ( cUnsatisfiable @ X0 )
| ( rr @ X0 @ ( sk__10 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl61]) ).
thf(zip_derived_cl39,plain,
! [X0: $i] :
( ( rr3 @ X0 @ ( sk__8 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(axiom_12,axiom,
! [X: $i,Y: $i] :
( ( rr3 @ X @ Y )
=> ( rr @ X @ Y ) ) ).
thf(zip_derived_cl64,plain,
! [X0: $i,X1: $i] :
( ( rr @ X0 @ X1 )
| ~ ( rr3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_12]) ).
thf(zip_derived_cl82,plain,
! [X0: $i] :
( ~ ( cUnsatisfiable @ X0 )
| ( rr @ X0 @ ( sk__8 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl64]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 )
| ~ ( rr @ X2 @ X1 )
| ~ ( rr @ X2 @ X0 )
| ( X1 = X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_2 @ X0 @ X1 @ X2 )
| ~ ( cUnsatisfiable @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ( rr @ X0 @ X2 )
| ~ ( rr @ X0 @ X1 )
| ~ ( cUnsatisfiable @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl47]) ).
thf(zip_derived_cl132,plain,
! [X0: $i,X1: $i] :
( ~ ( cUnsatisfiable @ X0 )
| ~ ( cUnsatisfiable @ X0 )
| ~ ( rr @ X0 @ X1 )
| ( X1
= ( sk__8 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl126]) ).
thf(zip_derived_cl136,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( sk__8 @ X0 ) )
| ~ ( rr @ X0 @ X1 )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl132]) ).
thf(zip_derived_cl140,plain,
! [X0: $i] :
( ~ ( cUnsatisfiable @ X0 )
| ~ ( cUnsatisfiable @ X0 )
| ( ( sk__10 @ X0 )
= ( sk__8 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl136]) ).
thf(zip_derived_cl143,plain,
! [X0: $i] :
( ( ( sk__10 @ X0 )
= ( sk__8 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl140]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ( rt2 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl165,plain,
! [X0: $i] :
( ( rt2 @ ( sk__8 @ X0 ) @ ( sk__11 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 )
| ~ ( cUnsatisfiable @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl143,zip_derived_cl46]) ).
thf(zip_derived_cl177,plain,
! [X0: $i] :
( ~ ( cUnsatisfiable @ X0 )
| ( rt2 @ ( sk__8 @ X0 ) @ ( sk__11 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl165]) ).
thf(axiom_11,axiom,
! [X: $i,Y: $i] :
( ( rt2 @ X @ Y )
=> ( rtt @ X @ Y ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i] :
( ( rtt @ X0 @ X1 )
| ~ ( rt2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_11]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( rt3 @ ( sk__8 @ X0 ) @ ( sk__9 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(axiom_13,axiom,
! [X: $i,Y: $i] :
( ( rt3 @ X @ Y )
=> ( rtt @ X @ Y ) ) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i] :
( ( rtt @ X0 @ X1 )
| ~ ( rt3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_13]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ ( sk__8 @ X2 ) )
| ~ ( cUnsatisfiable @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ~ ( rtt @ X2 @ X0 )
| ~ ( rtt @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ( X1 = X0 )
| ~ ( zip_tseitin_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rtt @ X0 @ X1 )
| ~ ( rtt @ X0 @ X2 )
| ~ ( zip_tseitin_1 @ X2 @ X1 @ X0 )
| ( X1 = X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl32]) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cUnsatisfiable @ X0 )
| ( X1 = X2 )
| ~ ( rtt @ ( sk__8 @ X0 ) @ X2 )
| ~ ( rtt @ ( sk__8 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl93]) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rt3 @ ( sk__8 @ X1 ) @ X0 )
| ~ ( rtt @ ( sk__8 @ X1 ) @ X2 )
| ( X2 = X0 )
| ~ ( cUnsatisfiable @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl96]) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: $i] :
( ~ ( cUnsatisfiable @ X0 )
| ~ ( cUnsatisfiable @ X0 )
| ( X1
= ( sk__9 @ X0 ) )
| ~ ( rtt @ ( sk__8 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl102]) ).
thf(zip_derived_cl113,plain,
! [X0: $i,X1: $i] :
( ~ ( rtt @ ( sk__8 @ X0 ) @ X1 )
| ( X1
= ( sk__9 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl115,plain,
! [X0: $i,X1: $i] :
( ~ ( rt2 @ ( sk__8 @ X1 ) @ X0 )
| ~ ( cUnsatisfiable @ X1 )
| ( X0
= ( sk__9 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl113]) ).
thf(zip_derived_cl240,plain,
! [X0: $i] :
( ~ ( cUnsatisfiable @ X0 )
| ( ( sk__11 @ X0 )
= ( sk__9 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl177,zip_derived_cl115]) ).
thf(zip_derived_cl242,plain,
! [X0: $i] :
( ( ( sk__11 @ X0 )
= ( sk__9 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl240]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ( cd @ ( sk__11 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl243,plain,
! [X0: $i] :
( ( cd @ ( sk__9 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 )
| ~ ( cUnsatisfiable @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl242,zip_derived_cl45]) ).
thf(zip_derived_cl248,plain,
! [X0: $i] :
( ~ ( cUnsatisfiable @ X0 )
| ( cd @ ( sk__9 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl243]) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ( ce @ ( sk__9 @ X0 ) )
| ~ ( cUnsatisfiable @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(axiom_7,axiom,
! [X: $i] :
~ ( ( ce @ X )
& ( cd @ X ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i] :
( ~ ( ce @ X0 )
| ~ ( cd @ X0 ) ),
inference(cnf,[status(esa)],[axiom_7]) ).
thf(zip_derived_cl72,plain,
! [X0: $i] :
( ~ ( cUnsatisfiable @ X0 )
| ~ ( cd @ ( sk__9 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl59]) ).
thf(zip_derived_cl253,plain,
! [X0: $i] :
~ ( cUnsatisfiable @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl248,zip_derived_cl72]) ).
thf(axiom_4,axiom,
cUnsatisfiable @ i2003_11_14_17_20_25524 ).
thf(zip_derived_cl56,plain,
cUnsatisfiable @ i2003_11_14_17_20_25524,
inference(cnf,[status(esa)],[axiom_4]) ).
thf(zip_derived_cl254,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl253,zip_derived_cl56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DAYChjLVSY true
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 02:39:24 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.22/0.81 % Solved by fo/fo7.sh.
% 1.22/0.81 % done 122 iterations in 0.040s
% 1.22/0.81 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.22/0.81 % SZS output start Refutation
% See solution above
% 1.22/0.81
% 1.22/0.81
% 1.22/0.82 % Terminating...
% 1.81/0.85 % Runner terminated.
% 1.81/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------