TSTP Solution File: HWV003-3 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : HWV003-3 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 : 600s
% DateTime : Sat Jul 16 19:03:21 EDT 2022
% Result : Unsatisfiable 2.04s 2.30s
% Output : Refutation 2.04s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_4A,negated_conjecture,
( a14
| a12 ),
input ).
cnf(clause_13A,negated_conjecture,
( a24
| cI ),
input ).
cnf(clause_5C,negated_conjecture,
( ~ a15
| ~ a14
| ~ cI ),
input ).
cnf(c23,plain,
( ~ a15
| ~ a14
| a24 ),
inference(resolution,status(thm),[clause_5C,clause_13A]) ).
cnf(c105,plain,
( ~ a15
| a24
| a12 ),
inference(resolution,status(thm),[c23,clause_4A]) ).
cnf(clause_6B,negated_conjecture,
( a16
| a15 ),
input ).
cnf(clause_7A,negated_conjecture,
( a17
| a15 ),
input ).
cnf(clause_8C,negated_conjecture,
( ~ s1
| ~ a16
| ~ a17 ),
input ).
cnf(c38,plain,
( ~ s1
| ~ a16
| a15 ),
inference(resolution,status(thm),[clause_8C,clause_7A]) ).
cnf(c143,plain,
( ~ s1
| a15 ),
inference(resolution,status(thm),[c38,clause_6B]) ).
cnf(clause_20,negated_conjecture,
( conjline18
| conjline19 ),
input ).
cnf(clause_18C,negated_conjecture,
( ~ conjline18
| s1
| s2 ),
input ).
cnf(c66,plain,
( s1
| s2
| conjline19 ),
inference(resolution,status(thm),[clause_18C,clause_20]) ).
cnf(c284,plain,
( s2
| conjline19
| a15 ),
inference(resolution,status(thm),[c66,c143]) ).
cnf(clause_9A,negated_conjecture,
( c1
| a15 ),
input ).
cnf(clause_19D,negated_conjecture,
( ~ conjline19
| ~ c1
| ~ c2 ),
input ).
cnf(clause_17A,negated_conjecture,
( c2
| ~ a22 ),
input ).
cnf(clause_5B,negated_conjecture,
( a15
| cI ),
input ).
cnf(clause_11C,negated_conjecture,
( a22
| ~ cI
| ~ a23 ),
input ).
cnf(clause_5A,negated_conjecture,
( a15
| a14 ),
input ).
cnf(clause_2A,negated_conjecture,
( a12
| a ),
input ).
cnf(clause_12A,negated_conjecture,
( a23
| ~ a ),
input ).
cnf(c15,plain,
( a23
| a12 ),
inference(resolution,status(thm),[clause_12A,clause_2A]) ).
cnf(clause_4C,negated_conjecture,
( ~ a14
| ~ a12
| ~ a13 ),
input ).
cnf(clause_3A,negated_conjecture,
( a13
| b ),
input ).
cnf(clause_12B,negated_conjecture,
( a23
| ~ b ),
input ).
cnf(c17,plain,
( a23
| a13 ),
inference(resolution,status(thm),[clause_12B,clause_3A]) ).
cnf(c32,plain,
( a23
| ~ a14
| ~ a12 ),
inference(resolution,status(thm),[c17,clause_4C]) ).
cnf(c124,plain,
( a23
| ~ a14 ),
inference(resolution,status(thm),[c32,c15]) ).
cnf(c128,plain,
( a23
| a15 ),
inference(resolution,status(thm),[c124,clause_5A]) ).
cnf(c132,plain,
( a15
| a22
| ~ cI ),
inference(resolution,status(thm),[c128,clause_11C]) ).
cnf(c466,plain,
( a15
| a22 ),
inference(resolution,status(thm),[c132,clause_5B]) ).
cnf(c478,plain,
( a15
| c2 ),
inference(resolution,status(thm),[c466,clause_17A]) ).
cnf(c488,plain,
( a15
| ~ conjline19
| ~ c1 ),
inference(resolution,status(thm),[c478,clause_19D]) ).
cnf(c1263,plain,
( a15
| ~ conjline19 ),
inference(resolution,status(thm),[c488,clause_9A]) ).
cnf(c1266,plain,
( a15
| s2 ),
inference(resolution,status(thm),[c1263,c284]) ).
cnf(clause_16D,negated_conjecture,
( ~ s2
| ~ cI
| ~ a21 ),
input ).
cnf(clause_3B,negated_conjecture,
( a13
| a11 ),
input ).
cnf(clause_1C,negated_conjecture,
( ~ a11
| ~ a
| ~ b ),
input ).
cnf(c0,plain,
( ~ a11
| ~ a
| a13 ),
inference(resolution,status(thm),[clause_1C,clause_3A]) ).
cnf(c70,plain,
( ~ a11
| a13
| a12 ),
inference(resolution,status(thm),[c0,clause_2A]) ).
cnf(c318,plain,
( a13
| a12 ),
inference(resolution,status(thm),[c70,clause_3B]) ).
cnf(clause_2B,negated_conjecture,
( a12
| a11 ),
input ).
cnf(clause_3C,negated_conjecture,
( ~ a13
| ~ b
| ~ a11 ),
input ).
cnf(c8,plain,
( ~ a13
| ~ b
| a12 ),
inference(resolution,status(thm),[clause_3C,clause_2B]) ).
cnf(clause_10B,negated_conjecture,
( a21
| ~ a
| b ),
input ).
cnf(c49,plain,
( a21
| b
| a12 ),
inference(resolution,status(thm),[clause_10B,clause_2A]) ).
cnf(c210,plain,
( a21
| a12
| ~ a13 ),
inference(resolution,status(thm),[c49,c8]) ).
cnf(c630,plain,
( a21
| a12 ),
inference(resolution,status(thm),[c210,c318]) ).
cnf(clause_10A,negated_conjecture,
( a21
| a
| ~ b ),
input ).
cnf(c47,plain,
( a21
| a
| a13 ),
inference(resolution,status(thm),[clause_10A,clause_3A]) ).
cnf(c197,plain,
( a21
| a13
| ~ a11 ),
inference(resolution,status(thm),[c47,c0]) ).
cnf(c590,plain,
( a21
| a13 ),
inference(resolution,status(thm),[c197,clause_3B]) ).
cnf(c598,plain,
( a21
| ~ a14
| ~ a12 ),
inference(resolution,status(thm),[c590,clause_4C]) ).
cnf(c1557,plain,
( a21
| ~ a14 ),
inference(resolution,status(thm),[c598,c630]) ).
cnf(c1562,plain,
( a21
| a15 ),
inference(resolution,status(thm),[c1557,clause_5A]) ).
cnf(c1576,plain,
( a15
| ~ s2
| ~ cI ),
inference(resolution,status(thm),[c1562,clause_16D]) ).
cnf(c2582,plain,
( a15
| ~ s2 ),
inference(resolution,status(thm),[c1576,clause_5B]) ).
cnf(c2603,plain,
a15,
inference(resolution,status(thm),[c2582,c1266]) ).
cnf(c2605,plain,
( a24
| a12 ),
inference(resolution,status(thm),[c2603,c105]) ).
cnf(clause_13B,negated_conjecture,
( ~ a24
| ~ cI ),
input ).
cnf(clause_11A,negated_conjecture,
( ~ a22
| cI ),
input ).
cnf(clause_7C,negated_conjecture,
( ~ a17
| ~ a15
| ~ cI ),
input ).
cnf(c34,plain,
( ~ a17
| ~ a15
| a24 ),
inference(resolution,status(thm),[clause_7C,clause_13A]) ).
cnf(c2607,plain,
( ~ a17
| a24 ),
inference(resolution,status(thm),[c2603,c34]) ).
cnf(clause_9B,negated_conjecture,
( c1
| a11 ),
input ).
cnf(clause_17B,negated_conjecture,
( c2
| ~ a26 ),
input ).
cnf(clause_15C,negated_conjecture,
( a26
| ~ a24
| ~ a25 ),
input ).
cnf(clause_1A,negated_conjecture,
( a11
| a ),
input ).
cnf(clause_1B,negated_conjecture,
( a11
| b ),
input ).
cnf(clause_14C,negated_conjecture,
( a25
| ~ a
| ~ b ),
input ).
cnf(c60,plain,
( a25
| ~ a
| a11 ),
inference(resolution,status(thm),[clause_14C,clause_1B]) ).
cnf(c235,plain,
( a25
| a11 ),
inference(resolution,status(thm),[c60,clause_1A]) ).
cnf(c239,plain,
( a11
| a26
| ~ a24 ),
inference(resolution,status(thm),[c235,clause_15C]) ).
cnf(c16,plain,
( a23
| a11 ),
inference(resolution,status(thm),[clause_12A,clause_1A]) ).
cnf(c53,plain,
( a22
| ~ cI
| a11 ),
inference(resolution,status(thm),[clause_11C,c16]) ).
cnf(c223,plain,
( a22
| a11
| a24 ),
inference(resolution,status(thm),[c53,clause_13A]) ).
cnf(c643,plain,
( a11
| a24
| c2 ),
inference(resolution,status(thm),[c223,clause_17A]) ).
cnf(c1652,plain,
( a11
| c2
| a26 ),
inference(resolution,status(thm),[c643,c239]) ).
cnf(c2821,plain,
( a11
| c2 ),
inference(resolution,status(thm),[c1652,clause_17B]) ).
cnf(c2827,plain,
( a11
| ~ conjline19
| ~ c1 ),
inference(resolution,status(thm),[c2821,clause_19D]) ).
cnf(c3128,plain,
( a11
| ~ conjline19 ),
inference(resolution,status(thm),[c2827,clause_9B]) ).
cnf(clause_10D,negated_conjecture,
( ~ a21
| ~ a
| ~ b ),
input ).
cnf(c52,plain,
( ~ a21
| ~ a
| a11 ),
inference(resolution,status(thm),[clause_10D,clause_1B]) ).
cnf(c218,plain,
( ~ a21
| a11 ),
inference(resolution,status(thm),[c52,clause_1A]) ).
cnf(clause_8B,negated_conjecture,
( s1
| a17 ),
input ).
cnf(clause_18D,negated_conjecture,
( ~ conjline18
| ~ s1
| ~ s2 ),
input ).
cnf(clause_7B,negated_conjecture,
( a17
| cI ),
input ).
cnf(clause_16B,negated_conjecture,
( s2
| ~ cI
| a21 ),
input ).
cnf(c63,plain,
( s2
| a21
| a17 ),
inference(resolution,status(thm),[clause_16B,clause_7B]) ).
cnf(c265,plain,
( a21
| a17
| ~ conjline18
| ~ s1 ),
inference(resolution,status(thm),[c63,clause_18D]) ).
cnf(c951,plain,
( a21
| a17
| ~ conjline18 ),
inference(resolution,status(thm),[c265,clause_8B]) ).
cnf(c1819,plain,
( a21
| a17
| conjline19 ),
inference(resolution,status(thm),[c951,clause_20]) ).
cnf(c2840,plain,
( a17
| conjline19
| a11 ),
inference(resolution,status(thm),[c1819,c218]) ).
cnf(c3151,plain,
( a17
| a11 ),
inference(resolution,status(thm),[c2840,c3128]) ).
cnf(c3157,plain,
( a11
| a24 ),
inference(resolution,status(thm),[c3151,c2607]) ).
cnf(clause_16C,negated_conjecture,
( ~ s2
| cI
| a21 ),
input ).
cnf(c287,plain,
( s1
| conjline19
| cI
| a21 ),
inference(resolution,status(thm),[c66,clause_16C]) ).
cnf(c40,plain,
( ~ s1
| ~ a16
| cI ),
inference(resolution,status(thm),[clause_8C,clause_7B]) ).
cnf(clause_6A,negated_conjecture,
( a16
| a14 ),
input ).
cnf(c1560,plain,
( a21
| a16 ),
inference(resolution,status(thm),[c1557,clause_6A]) ).
cnf(c1573,plain,
( a21
| ~ s1
| cI ),
inference(resolution,status(thm),[c1560,c40]) ).
cnf(c2568,plain,
( a21
| cI
| conjline19 ),
inference(resolution,status(thm),[c1573,c287]) ).
cnf(c3064,plain,
( cI
| conjline19
| a11 ),
inference(resolution,status(thm),[c2568,c218]) ).
cnf(c3328,plain,
( cI
| a11 ),
inference(resolution,status(thm),[c3064,c3128]) ).
cnf(c3335,plain,
( a11
| ~ a24 ),
inference(resolution,status(thm),[c3328,clause_13B]) ).
cnf(c3349,plain,
a11,
inference(resolution,status(thm),[c3335,c3157]) ).
cnf(clause_14A,negated_conjecture,
( ~ a25
| a ),
input ).
cnf(clause_15B,negated_conjecture,
( ~ a26
| a25 ),
input ).
cnf(clause_4B,negated_conjecture,
( a14
| a13 ),
input ).
cnf(c103,plain,
( ~ a15
| a24
| a13 ),
inference(resolution,status(thm),[c23,clause_4B]) ).
cnf(c1271,plain,
( s2
| a24
| a13 ),
inference(resolution,status(thm),[c1266,c103]) ).
cnf(clause_16A,negated_conjecture,
( s2
| cI
| ~ a21 ),
input ).
cnf(c594,plain,
( a13
| s2
| cI ),
inference(resolution,status(thm),[c590,clause_16A]) ).
cnf(c1518,plain,
( a13
| s2
| ~ a24 ),
inference(resolution,status(thm),[c594,clause_13B]) ).
cnf(c2363,plain,
( a13
| s2 ),
inference(resolution,status(thm),[c1518,c1271]) ).
cnf(c595,plain,
( a13
| ~ s2
| ~ cI ),
inference(resolution,status(thm),[c590,clause_16D]) ).
cnf(clause_17C,negated_conjecture,
( ~ c2
| a22
| a26 ),
input ).
cnf(clause_19C,negated_conjecture,
( ~ conjline19
| c1
| c2 ),
input ).
cnf(c69,plain,
( c1
| c2
| conjline18 ),
inference(resolution,status(thm),[clause_19C,clause_20]) ).
cnf(clause_9C,negated_conjecture,
( ~ c1
| ~ a15
| ~ a11 ),
input ).
cnf(c43,plain,
( ~ c1
| ~ a15
| a13 ),
inference(resolution,status(thm),[clause_9C,clause_3B]) ).
cnf(c482,plain,
( c2
| ~ c1
| a13 ),
inference(resolution,status(thm),[c478,c43]) ).
cnf(c1191,plain,
( c2
| a13
| conjline18 ),
inference(resolution,status(thm),[c482,c69]) ).
cnf(clause_8A,negated_conjecture,
( s1
| a16 ),
input ).
cnf(clause_6C,negated_conjecture,
( ~ a16
| ~ a14
| ~ a15 ),
input ).
cnf(c27,plain,
( ~ a16
| ~ a14
| cI ),
inference(resolution,status(thm),[clause_6C,clause_5B]) ).
cnf(c115,plain,
( ~ a16
| cI
| a13 ),
inference(resolution,status(thm),[c27,clause_4B]) ).
cnf(c408,plain,
( cI
| a13
| s1 ),
inference(resolution,status(thm),[c115,clause_8A]) ).
cnf(c902,plain,
( a13
| s1
| ~ a24 ),
inference(resolution,status(thm),[c408,clause_13B]) ).
cnf(c1529,plain,
( a13
| ~ s2
| a15 ),
inference(resolution,status(thm),[c595,clause_5B]) ).
cnf(c2394,plain,
( a13
| a15 ),
inference(resolution,status(thm),[c1529,c2363]) ).
cnf(c2407,plain,
( a13
| a24 ),
inference(resolution,status(thm),[c2394,c103]) ).
cnf(c2443,plain,
( a13
| s1 ),
inference(resolution,status(thm),[c2407,c902]) ).
cnf(c2384,plain,
( a13
| ~ conjline18
| ~ s1 ),
inference(resolution,status(thm),[c2363,clause_18D]) ).
cnf(c2972,plain,
( a13
| ~ conjline18 ),
inference(resolution,status(thm),[c2384,c2443]) ).
cnf(c2983,plain,
( a13
| c2 ),
inference(resolution,status(thm),[c2972,c1191]) ).
cnf(c2993,plain,
( a13
| a22
| a26 ),
inference(resolution,status(thm),[c2983,clause_17C]) ).
cnf(c3275,plain,
( a13
| a26
| cI ),
inference(resolution,status(thm),[c2993,clause_11A]) ).
cnf(c3467,plain,
( a13
| a26
| ~ s2 ),
inference(resolution,status(thm),[c3275,c595]) ).
cnf(c3653,plain,
( a13
| a26 ),
inference(resolution,status(thm),[c3467,c2363]) ).
cnf(c3664,plain,
( a13
| a25 ),
inference(resolution,status(thm),[c3653,clause_15B]) ).
cnf(c3669,plain,
( a13
| a ),
inference(resolution,status(thm),[c3664,clause_14A]) ).
cnf(c3674,plain,
( a13
| ~ a11 ),
inference(resolution,status(thm),[c3669,c0]) ).
cnf(c3686,plain,
a13,
inference(resolution,status(thm),[c3674,c3349]) ).
cnf(c3359,plain,
( ~ a13
| ~ b ),
inference(resolution,status(thm),[c3349,clause_3C]) ).
cnf(clause_14B,negated_conjecture,
( ~ a25
| b ),
input ).
cnf(c3357,plain,
( ~ c1
| ~ a15 ),
inference(resolution,status(thm),[c3349,clause_9C]) ).
cnf(c3360,plain,
~ c1,
inference(resolution,status(thm),[c3357,c2603]) ).
cnf(c28,plain,
( ~ a16
| ~ a14
| c1 ),
inference(resolution,status(thm),[clause_6C,clause_9A]) ).
cnf(c121,plain,
( ~ a16
| c1
| a12 ),
inference(resolution,status(thm),[c28,clause_4A]) ).
cnf(c432,plain,
( c1
| a12
| s1 ),
inference(resolution,status(thm),[c121,clause_8A]) ).
cnf(c44,plain,
( ~ c1
| ~ a15
| a12 ),
inference(resolution,status(thm),[clause_9C,clause_2B]) ).
cnf(c2604,plain,
( ~ c1
| a12 ),
inference(resolution,status(thm),[c2603,c44]) ).
cnf(c2615,plain,
( a12
| s1 ),
inference(resolution,status(thm),[c2604,c432]) ).
cnf(c633,plain,
( a12
| s2
| cI ),
inference(resolution,status(thm),[c630,clause_16A]) ).
cnf(c1602,plain,
( a12
| s2
| ~ a24 ),
inference(resolution,status(thm),[c633,clause_13B]) ).
cnf(c2803,plain,
( a12
| s2 ),
inference(resolution,status(thm),[c1602,c2605]) ).
cnf(c2812,plain,
( a12
| ~ conjline18
| ~ s1 ),
inference(resolution,status(thm),[c2803,clause_18D]) ).
cnf(c3084,plain,
( a12
| ~ conjline18 ),
inference(resolution,status(thm),[c2812,c2615]) ).
cnf(c3089,plain,
( a12
| conjline19 ),
inference(resolution,status(thm),[c3084,clause_20]) ).
cnf(clause_2C,negated_conjecture,
( ~ a12
| ~ a
| ~ a11 ),
input ).
cnf(c3358,plain,
( ~ a12
| ~ a ),
inference(resolution,status(thm),[c3349,clause_2C]) ).
cnf(clause_10C,negated_conjecture,
( ~ a21
| a
| b ),
input ).
cnf(c2843,plain,
( a21
| conjline19
| a24 ),
inference(resolution,status(thm),[c1819,c2607]) ).
cnf(c3068,plain,
( a21
| conjline19
| ~ a24 ),
inference(resolution,status(thm),[c2568,clause_13B]) ).
cnf(c3372,plain,
( a21
| conjline19 ),
inference(resolution,status(thm),[c3068,c2843]) ).
cnf(c3382,plain,
( conjline19
| a
| b ),
inference(resolution,status(thm),[c3372,clause_10C]) ).
cnf(c3491,plain,
( conjline19
| b
| ~ a12 ),
inference(resolution,status(thm),[c3382,c3358]) ).
cnf(c3756,plain,
( conjline19
| b ),
inference(resolution,status(thm),[c3491,c3089]) ).
cnf(c3767,plain,
( conjline19
| ~ a13 ),
inference(resolution,status(thm),[c3756,c3359]) ).
cnf(c3772,plain,
conjline19,
inference(resolution,status(thm),[c3767,c3686]) ).
cnf(c3773,plain,
( c1
| c2 ),
inference(resolution,status(thm),[c3772,clause_19C]) ).
cnf(c3774,plain,
c2,
inference(resolution,status(thm),[c3773,c3360]) ).
cnf(c3776,plain,
( a22
| a26 ),
inference(resolution,status(thm),[c3774,clause_17C]) ).
cnf(c3779,plain,
( a22
| a25 ),
inference(resolution,status(thm),[c3776,clause_15B]) ).
cnf(c3797,plain,
( a22
| b ),
inference(resolution,status(thm),[c3779,clause_14B]) ).
cnf(c3833,plain,
( a22
| ~ a13 ),
inference(resolution,status(thm),[c3797,c3359]) ).
cnf(c3907,plain,
a22,
inference(resolution,status(thm),[c3833,c3686]) ).
cnf(c3908,plain,
cI,
inference(resolution,status(thm),[c3907,clause_11A]) ).
cnf(c3909,plain,
~ a24,
inference(resolution,status(thm),[c3908,clause_13B]) ).
cnf(c3918,plain,
a12,
inference(resolution,status(thm),[c3909,c2605]) ).
cnf(clause_12C,negated_conjecture,
( ~ a23
| a
| b ),
input ).
cnf(clause_11B,negated_conjecture,
( ~ a22
| a23 ),
input ).
cnf(c3778,plain,
( a26
| a23 ),
inference(resolution,status(thm),[c3776,clause_11B]) ).
cnf(c3791,plain,
( a23
| a25 ),
inference(resolution,status(thm),[c3778,clause_15B]) ).
cnf(c3824,plain,
( a23
| b ),
inference(resolution,status(thm),[c3791,clause_14B]) ).
cnf(c3897,plain,
( b
| a ),
inference(resolution,status(thm),[c3824,clause_12C]) ).
cnf(c3925,plain,
( a
| ~ a13 ),
inference(resolution,status(thm),[c3897,c3359]) ).
cnf(c3940,plain,
a,
inference(resolution,status(thm),[c3925,c3686]) ).
cnf(c3941,plain,
~ a12,
inference(resolution,status(thm),[c3940,c3358]) ).
cnf(c3943,plain,
$false,
inference(resolution,status(thm),[c3941,c3918]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HWV003-3 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 21:03:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.04/2.30 # Version: 1.3
% 2.04/2.30 # SZS status Unsatisfiable
% 2.04/2.30 # SZS output start CNFRefutation
% See solution above
% 2.04/2.30
% 2.04/2.30 # Initial clauses : 61
% 2.04/2.30 # Processed clauses : 504
% 2.04/2.30 # Factors computed : 0
% 2.04/2.30 # Resolvents computed: 3944
% 2.04/2.30 # Tautologies deleted: 95
% 2.04/2.30 # Forward subsumed : 1537
% 2.04/2.30 # Backward subsumed : 473
% 2.04/2.30 # -------- CPU Time ---------
% 2.04/2.30 # User time : 1.930 s
% 2.04/2.30 # System time : 0.020 s
% 2.04/2.30 # Total time : 1.950 s
%------------------------------------------------------------------------------