TSTP Solution File: SWC013-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC013-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 : Tue May 21 04:39:57 EDT 2024
% Result : Unsatisfiable 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 223
% Syntax : Number of formulae : 845 ( 446 unt; 0 def)
% Number of atoms : 1861 ( 656 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1932 ( 916 ~; 990 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 47 ( 45 usr; 27 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 7 con; 0-2 aty)
% Number of variables : 1110 (1110 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4147,plain,
$false,
inference(avatar_sat_refutation,[],[f254,f1101,f1125,f1127,f1147,f1523,f1554,f1558,f1593,f1611,f1615,f1687,f1741,f1762,f3779,f3812,f3954,f4116,f4146]) ).
fof(f4146,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f4145]) ).
fof(f4145,plain,
( $false
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f4144,f1099]) ).
fof(f1099,plain,
( ssItem(hd(sk2))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1098,plain,
( spl0_5
<=> ssItem(hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f4144,plain,
( ~ ssItem(hd(sk2))
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f4143,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f4143,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk2))
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f4142,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f4142,plain,
( ~ ssList(cons(hd(sk2),nil))
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f4141,f1092]) ).
fof(f1092,plain,
( sk1 != cons(hd(sk2),nil)
| spl0_3 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f1090,plain,
( spl0_3
<=> sk1 = cons(hd(sk2),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f4141,plain,
( sk1 = cons(hd(sk2),nil)
| ~ ssList(cons(hd(sk2),nil))
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4140,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f4140,plain,
( sk3 = cons(hd(sk2),nil)
| ~ ssList(cons(hd(sk2),nil))
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4139,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f4139,plain,
( ~ ssList(cons(hd(sk2),nil))
| sk3 = cons(hd(sk4),nil)
| ~ spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f4138,f1095]) ).
fof(f1095,plain,
( neq(nil,sk2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1094,plain,
( spl0_4
<=> neq(nil,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f4138,plain,
( ~ neq(nil,sk2)
| ~ ssList(cons(hd(sk2),nil))
| sk3 = cons(hd(sk4),nil)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4137,f190]) ).
fof(f4137,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ neq(nil,sk4)
| sk3 = cons(hd(sk4),nil)
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f4136,f236]) ).
fof(f236,plain,
neq(sk2,nil),
inference(duplicate_literal_removal,[],[f192]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f4136,plain,
( ~ neq(sk2,nil)
| ~ ssList(cons(hd(sk2),nil))
| ~ neq(nil,sk4)
| sk3 = cons(hd(sk4),nil)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4135,f190]) ).
fof(f4135,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = cons(hd(sk4),nil)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4134,f190]) ).
fof(f4134,plain,
( ~ ssList(cons(hd(sk4),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = cons(hd(sk4),nil)
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f4133,f1099]) ).
fof(f4133,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(cons(hd(sk4),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = cons(hd(sk4),nil) ),
inference(forward_demodulation,[],[f203,f190]) ).
fof(f203,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = cons(hd(sk4),nil) ),
inference(equality_resolution,[],[f202]) ).
fof(f202,plain,
! [X6] :
( ~ ssItem(hd(sk4))
| ~ ssList(X6)
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = X6
| cons(hd(sk4),nil) != X6 ),
inference(equality_resolution,[],[f196]) ).
fof(f196,axiom,
! [X6,X7] :
( ~ ssItem(X7)
| ~ ssList(X6)
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = X6
| hd(sk4) != X7
| cons(X7,nil) != X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f4116,plain,
( spl0_25
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f4083,f4113,f4109]) ).
fof(f4109,plain,
( spl0_25
<=> sk2 = skaf45(sk2,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f4113,plain,
( spl0_26
<=> rearsegP(skaf45(sk2,sk2),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f4083,plain,
( ~ rearsegP(skaf45(sk2,sk2),sk2)
| sk2 = skaf45(sk2,sk2) ),
inference(subsumption_resolution,[],[f4082,f187]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f4082,plain,
( ~ ssList(sk2)
| ~ rearsegP(skaf45(sk2,sk2),sk2)
| sk2 = skaf45(sk2,sk2) ),
inference(subsumption_resolution,[],[f4077,f51]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f4077,plain,
( ~ ssList(skaf45(sk2,sk2))
| ~ ssList(sk2)
| ~ rearsegP(skaf45(sk2,sk2),sk2)
| sk2 = skaf45(sk2,sk2) ),
inference(resolution,[],[f4074,f128]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f4074,plain,
rearsegP(sk2,skaf45(sk2,sk2)),
inference(subsumption_resolution,[],[f4073,f187]) ).
fof(f4073,plain,
( rearsegP(sk2,skaf45(sk2,sk2))
| ~ ssList(sk2) ),
inference(subsumption_resolution,[],[f4067,f51]) ).
fof(f4067,plain,
( rearsegP(sk2,skaf45(sk2,sk2))
| ~ ssList(skaf45(sk2,sk2))
| ~ ssList(sk2) ),
inference(superposition,[],[f2105,f4038]) ).
fof(f4038,plain,
sk2 = app(sk2,skaf45(sk2,sk2)),
inference(resolution,[],[f2492,f187]) ).
fof(f2492,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,skaf45(X0,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f2489]) ).
fof(f2489,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| app(X0,skaf45(X0,X0)) = X0
| ~ ssList(X0) ),
inference(resolution,[],[f132,f61]) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f132,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f2105,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f216,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f216,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f3954,plain,
( spl0_23
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f3919,f3951,f3947]) ).
fof(f3947,plain,
( spl0_23
<=> sk2 = skaf46(sk2,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f3951,plain,
( spl0_24
<=> frontsegP(skaf46(sk2,sk2),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f3919,plain,
( ~ frontsegP(skaf46(sk2,sk2),sk2)
| sk2 = skaf46(sk2,sk2) ),
inference(subsumption_resolution,[],[f3918,f187]) ).
fof(f3918,plain,
( ~ ssList(sk2)
| ~ frontsegP(skaf46(sk2,sk2),sk2)
| sk2 = skaf46(sk2,sk2) ),
inference(subsumption_resolution,[],[f3913,f50]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f3913,plain,
( ~ ssList(skaf46(sk2,sk2))
| ~ ssList(sk2)
| ~ frontsegP(skaf46(sk2,sk2),sk2)
| sk2 = skaf46(sk2,sk2) ),
inference(resolution,[],[f3910,f129]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f3910,plain,
frontsegP(sk2,skaf46(sk2,sk2)),
inference(subsumption_resolution,[],[f3909,f187]) ).
fof(f3909,plain,
( frontsegP(sk2,skaf46(sk2,sk2))
| ~ ssList(sk2) ),
inference(subsumption_resolution,[],[f3904,f50]) ).
fof(f3904,plain,
( frontsegP(sk2,skaf46(sk2,sk2))
| ~ ssList(skaf46(sk2,sk2))
| ~ ssList(sk2) ),
inference(superposition,[],[f2219,f3888]) ).
fof(f3888,plain,
sk2 = app(skaf46(sk2,sk2),sk2),
inference(resolution,[],[f2469,f187]) ).
fof(f2469,plain,
! [X0] :
( ~ ssList(X0)
| app(skaf46(X0,X0),X0) = X0 ),
inference(duplicate_literal_removal,[],[f2466]) ).
fof(f2466,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| app(skaf46(X0,X0),X0) = X0
| ~ ssList(X0) ),
inference(resolution,[],[f131,f59]) ).
fof(f59,axiom,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f131,axiom,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f2219,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f217,f85]) ).
fof(f217,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f3812,plain,
( spl0_21
| spl0_22
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f3761,f1604,f3809,f3805]) ).
fof(f3805,plain,
( spl0_21
<=> skaf50(tl(sk2)) = skaf49(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f3809,plain,
( spl0_22
<=> cyclefreeP(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1604,plain,
( spl0_12
<=> ssList(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f3761,plain,
( cyclefreeP(tl(sk2))
| skaf50(tl(sk2)) = skaf49(tl(sk2))
| ~ spl0_12 ),
inference(resolution,[],[f2011,f1605]) ).
fof(f1605,plain,
( ssList(tl(sk2))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f2011,plain,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| skaf50(X0) = skaf49(X0) ),
inference(subsumption_resolution,[],[f2010,f88]) ).
fof(f88,axiom,
! [X0] :
( leq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f2010,plain,
! [X0] :
( ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2009,f45]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f2009,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2005,f46]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f2005,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f130,f87]) ).
fof(f87,axiom,
! [X0] :
( leq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f130,axiom,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f3779,plain,
( spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f3763,f3776,f3772]) ).
fof(f3772,plain,
( spl0_19
<=> skaf50(sk2) = skaf49(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f3776,plain,
( spl0_20
<=> cyclefreeP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f3763,plain,
( cyclefreeP(sk2)
| skaf50(sk2) = skaf49(sk2) ),
inference(resolution,[],[f2011,f187]) ).
fof(f1762,plain,
( spl0_17
| ~ spl0_18
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f1753,f1730,f1604,f1586,f1098,f1759,f1755]) ).
fof(f1755,plain,
( spl0_17
<=> totalorderedP(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1759,plain,
( spl0_18
<=> totalorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1586,plain,
( spl0_10
<=> sk2 = cons(hd(sk2),tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1730,plain,
( spl0_14
<=> nil = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1753,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| spl0_14 ),
inference(subsumption_resolution,[],[f1752,f1099]) ).
fof(f1752,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| ~ ssItem(hd(sk2))
| ~ spl0_10
| ~ spl0_12
| spl0_14 ),
inference(subsumption_resolution,[],[f1751,f1731]) ).
fof(f1731,plain,
( nil != tl(sk2)
| spl0_14 ),
inference(avatar_component_clause,[],[f1730]) ).
fof(f1751,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f1749,f1605]) ).
fof(f1749,plain,
( ~ totalorderedP(sk2)
| ~ ssList(tl(sk2))
| totalorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_10 ),
inference(superposition,[],[f125,f1588]) ).
fof(f1588,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f1586]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f1741,plain,
( spl0_14
| spl0_15
| ~ spl0_16
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1718,f1604,f1586,f1098,f1738,f1734,f1730]) ).
fof(f1734,plain,
( spl0_15
<=> strictorderedP(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1738,plain,
( spl0_16
<=> strictorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1718,plain,
( ~ strictorderedP(sk2)
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f1717,f1099]) ).
fof(f1717,plain,
( ~ strictorderedP(sk2)
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f1715,f1605]) ).
fof(f1715,plain,
( ~ strictorderedP(sk2)
| ~ ssList(tl(sk2))
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_10 ),
inference(superposition,[],[f124,f1588]) ).
fof(f124,axiom,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f1687,plain,
( ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1686]) ).
fof(f1686,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1633,f1576]) ).
fof(f1576,plain,
( ~ ssItem(hd(nil))
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f1549,f1522]) ).
fof(f1522,plain,
( nil = sk1
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1520,plain,
( spl0_7
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1549,plain,
( ~ ssItem(hd(sk1))
| spl0_8 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f1547,plain,
( spl0_8
<=> ssItem(hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1633,plain,
( ssItem(hd(nil))
| ~ spl0_5
| ~ spl0_11 ),
inference(superposition,[],[f1099,f1592]) ).
fof(f1592,plain,
( nil = sk2
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f1590,plain,
( spl0_11
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1615,plain,
( spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1614]) ).
fof(f1614,plain,
( $false
| spl0_11
| spl0_12 ),
inference(subsumption_resolution,[],[f1613,f187]) ).
fof(f1613,plain,
( ~ ssList(sk2)
| spl0_11
| spl0_12 ),
inference(subsumption_resolution,[],[f1612,f1591]) ).
fof(f1591,plain,
( nil != sk2
| spl0_11 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f1612,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_12 ),
inference(resolution,[],[f1606,f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f1606,plain,
( ~ ssList(tl(sk2))
| spl0_12 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f1611,plain,
( ~ spl0_12
| spl0_13
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1599,f1586,f1098,f1608,f1604]) ).
fof(f1608,plain,
( spl0_13
<=> memberP(sk2,hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1599,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1594,f1099]) ).
fof(f1594,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| ~ spl0_10 ),
inference(superposition,[],[f232,f1588]) ).
fof(f232,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f215,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f1593,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f1221,f1590,f1586]) ).
fof(f1221,plain,
( nil = sk2
| sk2 = cons(hd(sk2),tl(sk2)) ),
inference(resolution,[],[f104,f187]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f1558,plain,
( spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1557]) ).
fof(f1557,plain,
( $false
| spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f1556,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f1556,plain,
( ~ ssList(sk1)
| spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f1555,f1521]) ).
fof(f1521,plain,
( nil != sk1
| spl0_7 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1555,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_8 ),
inference(resolution,[],[f1549,f76]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f1554,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1545,f1516,f1551,f1547]) ).
fof(f1551,plain,
( spl0_9
<=> sk1 = tl(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1516,plain,
( spl0_6
<=> sk1 = cons(hd(sk1),tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1545,plain,
( sk1 != tl(sk1)
| ~ ssItem(hd(sk1))
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1544,f186]) ).
fof(f1544,plain,
( sk1 != tl(sk1)
| ~ ssList(sk1)
| ~ ssItem(hd(sk1))
| ~ spl0_6 ),
inference(inner_rewriting,[],[f1540]) ).
fof(f1540,plain,
( sk1 != tl(sk1)
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| ~ spl0_6 ),
inference(superposition,[],[f99,f1518]) ).
fof(f1518,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f1523,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f1220,f1520,f1516]) ).
fof(f1220,plain,
( nil = sk1
| sk1 = cons(hd(sk1),tl(sk1)) ),
inference(resolution,[],[f104,f186]) ).
fof(f1147,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f1146]) ).
fof(f1146,plain,
( $false
| spl0_5 ),
inference(subsumption_resolution,[],[f1145,f8]) ).
fof(f1145,plain,
( ~ ssList(nil)
| spl0_5 ),
inference(resolution,[],[f1129,f233]) ).
fof(f233,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f214,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f1129,plain,
( neq(nil,nil)
| spl0_5 ),
inference(superposition,[],[f236,f1107]) ).
fof(f1107,plain,
( nil = sk2
| spl0_5 ),
inference(subsumption_resolution,[],[f1106,f187]) ).
fof(f1106,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_5 ),
inference(resolution,[],[f1100,f76]) ).
fof(f1100,plain,
( ~ ssItem(hd(sk2))
| spl0_5 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1127,plain,
( spl0_4
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f1126]) ).
fof(f1126,plain,
( $false
| spl0_4
| spl0_5 ),
inference(global_subsumption,[],[f1123,f193,f199,f237,f201,f238,f203,f205,f239,f120,f142,f162,f165,f166,f167,f164,f163,f206,f207,f208,f78,f77,f109,f104,f234,f157,f212,f243,f213,f244,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f216,f217,f231,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f220,f158,f172,f221,f152,f153,f154,f222,f230,f177,f224,f225,f226,f227,f228,f229,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f240,f241,f242,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f233,f235,f245,f64,f65,f66,f67,f68,f69,f70,f72,f73,f321,f322,f317,f318,f74,f355,f356,f351,f352,f75,f357,f358,f290,f291,f292,f293,f294,f295,f296,f297,f298,f299,f300,f76,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f80,f82,f84,f85,f375,f376,f86,f426,f427,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f232,f311,f312,f313,f314,f315,f316,f96,f496,f497,f498,f499,f500,f501,f502,f503,f504,f505,f506,f489,f529,f530,f531,f532,f533,f534,f535,f536,f537,f542,f543,f538,f539,f507,f490,f572,f573,f574,f575,f576,f577,f578,f579,f580,f585,f586,f581,f582,f97,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f550,f591,f639,f640,f641,f646,f647,f642,f643,f611,f612,f613,f614,f615,f100,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f101,f627,f628,f629,f630,f631,f632,f592,f704,f705,f706,f711,f712,f707,f708,f102,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f103,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f105,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f106,f519,f520,f521,f522,f523,f524,f525,f526,f527,f528,f551,f107,f791,f793,f795,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f562,f108,f825,f827,f563,f564,f565,f566,f567,f568,f569,f570,f571,f633,f634,f110,f849,f635,f636,f637,f638,f698,f699,f700,f701,f702,f703,f345,f114,f346,f347,f348,f349,f350,f491,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f901,f902,f907,f908,f903,f904,f872,f211,f916,f492,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f952,f953,f948,f949,f917,f493,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f995,f996,f991,f992,f960,f494,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1040,f1041,f1036,f1037,f1005,f495,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1083,f1084,f1079,f1080,f1002,f1096,f1102,f1105,f1109,f1121,f1122]) ).
fof(f1122,plain,
( ~ neq(nil,nil)
| spl0_4 ),
inference(superposition,[],[f1096,f1105]) ).
fof(f1121,plain,
( ! [X0] : nil = tl(cons(skaf70(X0),nil))
| spl0_4 ),
inference(superposition,[],[f1080,f1105]) ).
fof(f1109,plain,
( neq(nil,nil)
| spl0_4 ),
inference(superposition,[],[f236,f1105]) ).
fof(f1105,plain,
( nil = sk2
| spl0_4 ),
inference(subsumption_resolution,[],[f1104,f8]) ).
fof(f1104,plain,
( nil = sk2
| ~ ssList(nil)
| spl0_4 ),
inference(subsumption_resolution,[],[f1103,f187]) ).
fof(f1103,plain,
( ~ ssList(sk2)
| nil = sk2
| ~ ssList(nil)
| spl0_4 ),
inference(resolution,[],[f1096,f100]) ).
fof(f1102,plain,
( ~ ssItem(sk2)
| nil = sk2
| ~ ssItem(nil)
| spl0_4 ),
inference(resolution,[],[f1096,f102]) ).
fof(f1096,plain,
( ~ neq(nil,sk2)
| spl0_4 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1002,plain,
( ~ ssItem(hd(sk2))
| ~ neq(nil,sk2)
| sk1 != cons(hd(sk2),nil) ),
inference(subsumption_resolution,[],[f1001,f236]) ).
fof(f1001,plain,
( ~ neq(sk2,nil)
| ~ ssItem(hd(sk2))
| ~ neq(nil,sk2)
| sk1 != cons(hd(sk2),nil) ),
inference(forward_demodulation,[],[f237,f190]) ).
fof(f1080,plain,
! [X0] : sk2 = tl(cons(skaf70(X0),sk2)),
inference(resolution,[],[f495,f187]) ).
fof(f1079,plain,
! [X0] : sk1 = tl(cons(skaf70(X0),sk1)),
inference(resolution,[],[f495,f186]) ).
fof(f1084,plain,
! [X0] : sk2 = tl(cons(skaf70(X0),sk2)),
inference(forward_demodulation,[],[f1082,f190]) ).
fof(f1082,plain,
! [X0] : sk4 = tl(cons(skaf70(X0),sk4)),
inference(resolution,[],[f495,f189]) ).
fof(f1083,plain,
! [X0] : sk1 = tl(cons(skaf70(X0),sk1)),
inference(forward_demodulation,[],[f1081,f191]) ).
fof(f1081,plain,
! [X0] : sk3 = tl(cons(skaf70(X0),sk3)),
inference(resolution,[],[f495,f188]) ).
fof(f1078,plain,
! [X0,X1] :
( tl(X1) = tl(cons(skaf70(X0),tl(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f495,f75]) ).
fof(f1077,plain,
! [X2,X0,X1] :
( app(X1,X2) = tl(cons(skaf70(X0),app(X1,X2)))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f495,f85]) ).
fof(f1076,plain,
! [X2,X0,X1] :
( cons(X1,X2) = tl(cons(skaf70(X0),cons(X1,X2)))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(resolution,[],[f495,f86]) ).
fof(f1075,plain,
! [X2,X0,X1] : skaf42(X1,X2) = tl(cons(skaf70(X0),skaf42(X1,X2))),
inference(resolution,[],[f495,f53]) ).
fof(f1074,plain,
! [X2,X0,X1] : skaf43(X1,X2) = tl(cons(skaf70(X0),skaf43(X1,X2))),
inference(resolution,[],[f495,f52]) ).
fof(f1073,plain,
! [X2,X0,X1] : skaf45(X1,X2) = tl(cons(skaf70(X0),skaf45(X1,X2))),
inference(resolution,[],[f495,f51]) ).
fof(f1072,plain,
! [X2,X0,X1] : skaf46(X1,X2) = tl(cons(skaf70(X0),skaf46(X1,X2))),
inference(resolution,[],[f495,f50]) ).
fof(f1071,plain,
! [X2,X0,X1] : skaf47(X1,X2) = tl(cons(skaf70(X0),skaf47(X1,X2))),
inference(resolution,[],[f495,f49]) ).
fof(f1070,plain,
! [X2,X0,X1] : skaf48(X1,X2) = tl(cons(skaf70(X0),skaf48(X1,X2))),
inference(resolution,[],[f495,f48]) ).
fof(f1069,plain,
! [X0,X1] : skaf51(X1) = tl(cons(skaf70(X0),skaf51(X1))),
inference(resolution,[],[f495,f44]) ).
fof(f1068,plain,
! [X0,X1] : skaf52(X1) = tl(cons(skaf70(X0),skaf52(X1))),
inference(resolution,[],[f495,f43]) ).
fof(f1067,plain,
! [X0,X1] : skaf53(X1) = tl(cons(skaf70(X0),skaf53(X1))),
inference(resolution,[],[f495,f42]) ).
fof(f1066,plain,
! [X0,X1] : skaf56(X1) = tl(cons(skaf70(X0),skaf56(X1))),
inference(resolution,[],[f495,f39]) ).
fof(f1065,plain,
! [X0,X1] : skaf57(X1) = tl(cons(skaf70(X0),skaf57(X1))),
inference(resolution,[],[f495,f38]) ).
fof(f1064,plain,
! [X0,X1] : skaf58(X1) = tl(cons(skaf70(X0),skaf58(X1))),
inference(resolution,[],[f495,f37]) ).
fof(f1063,plain,
! [X0,X1] : skaf61(X1) = tl(cons(skaf70(X0),skaf61(X1))),
inference(resolution,[],[f495,f34]) ).
fof(f1062,plain,
! [X0,X1] : skaf62(X1) = tl(cons(skaf70(X0),skaf62(X1))),
inference(resolution,[],[f495,f33]) ).
fof(f1061,plain,
! [X0,X1] : skaf63(X1) = tl(cons(skaf70(X0),skaf63(X1))),
inference(resolution,[],[f495,f32]) ).
fof(f1060,plain,
! [X0,X1] : skaf66(X1) = tl(cons(skaf70(X0),skaf66(X1))),
inference(resolution,[],[f495,f29]) ).
fof(f1059,plain,
! [X0,X1] : skaf67(X1) = tl(cons(skaf70(X0),skaf67(X1))),
inference(resolution,[],[f495,f28]) ).
fof(f1058,plain,
! [X0,X1] : skaf68(X1) = tl(cons(skaf70(X0),skaf68(X1))),
inference(resolution,[],[f495,f27]) ).
fof(f1057,plain,
! [X0,X1] : skaf71(X1) = tl(cons(skaf70(X0),skaf71(X1))),
inference(resolution,[],[f495,f24]) ).
fof(f1056,plain,
! [X0,X1] : skaf72(X1) = tl(cons(skaf70(X0),skaf72(X1))),
inference(resolution,[],[f495,f23]) ).
fof(f1055,plain,
! [X0,X1] : skaf73(X1) = tl(cons(skaf70(X0),skaf73(X1))),
inference(resolution,[],[f495,f22]) ).
fof(f1054,plain,
! [X0,X1] : skaf75(X1) = tl(cons(skaf70(X0),skaf75(X1))),
inference(resolution,[],[f495,f20]) ).
fof(f1053,plain,
! [X0,X1] : skaf76(X1) = tl(cons(skaf70(X0),skaf76(X1))),
inference(resolution,[],[f495,f19]) ).
fof(f1052,plain,
! [X0,X1] : skaf77(X1) = tl(cons(skaf70(X0),skaf77(X1))),
inference(resolution,[],[f495,f18]) ).
fof(f1051,plain,
! [X0,X1] : skaf80(X1) = tl(cons(skaf70(X0),skaf80(X1))),
inference(resolution,[],[f495,f15]) ).
fof(f1050,plain,
! [X0,X1] : skaf81(X1) = tl(cons(skaf70(X0),skaf81(X1))),
inference(resolution,[],[f495,f14]) ).
fof(f1049,plain,
! [X0,X1] : skaf82(X1) = tl(cons(skaf70(X0),skaf82(X1))),
inference(resolution,[],[f495,f13]) ).
fof(f1048,plain,
! [X0] : nil = tl(cons(skaf70(X0),nil)),
inference(resolution,[],[f495,f8]) ).
fof(f495,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf70(X1),X0)) = X0 ),
inference(resolution,[],[f96,f25]) ).
fof(f1005,plain,
! [X0] : nil = tl(cons(skaf74(X0),nil)),
inference(resolution,[],[f494,f8]) ).
fof(f1037,plain,
! [X0] : sk2 = tl(cons(skaf74(X0),sk2)),
inference(resolution,[],[f494,f187]) ).
fof(f1036,plain,
! [X0] : sk1 = tl(cons(skaf74(X0),sk1)),
inference(resolution,[],[f494,f186]) ).
fof(f1041,plain,
! [X0] : sk2 = tl(cons(skaf74(X0),sk2)),
inference(forward_demodulation,[],[f1039,f190]) ).
fof(f1039,plain,
! [X0] : sk4 = tl(cons(skaf74(X0),sk4)),
inference(resolution,[],[f494,f189]) ).
fof(f1040,plain,
! [X0] : sk1 = tl(cons(skaf74(X0),sk1)),
inference(forward_demodulation,[],[f1038,f191]) ).
fof(f1038,plain,
! [X0] : sk3 = tl(cons(skaf74(X0),sk3)),
inference(resolution,[],[f494,f188]) ).
fof(f1035,plain,
! [X0,X1] :
( tl(X1) = tl(cons(skaf74(X0),tl(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f494,f75]) ).
fof(f1034,plain,
! [X2,X0,X1] :
( app(X1,X2) = tl(cons(skaf74(X0),app(X1,X2)))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f494,f85]) ).
fof(f1033,plain,
! [X2,X0,X1] :
( cons(X1,X2) = tl(cons(skaf74(X0),cons(X1,X2)))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(resolution,[],[f494,f86]) ).
fof(f1032,plain,
! [X2,X0,X1] : skaf42(X1,X2) = tl(cons(skaf74(X0),skaf42(X1,X2))),
inference(resolution,[],[f494,f53]) ).
fof(f1031,plain,
! [X2,X0,X1] : skaf43(X1,X2) = tl(cons(skaf74(X0),skaf43(X1,X2))),
inference(resolution,[],[f494,f52]) ).
fof(f1030,plain,
! [X2,X0,X1] : skaf45(X1,X2) = tl(cons(skaf74(X0),skaf45(X1,X2))),
inference(resolution,[],[f494,f51]) ).
fof(f1029,plain,
! [X2,X0,X1] : skaf46(X1,X2) = tl(cons(skaf74(X0),skaf46(X1,X2))),
inference(resolution,[],[f494,f50]) ).
fof(f1028,plain,
! [X2,X0,X1] : skaf47(X1,X2) = tl(cons(skaf74(X0),skaf47(X1,X2))),
inference(resolution,[],[f494,f49]) ).
fof(f1027,plain,
! [X2,X0,X1] : skaf48(X1,X2) = tl(cons(skaf74(X0),skaf48(X1,X2))),
inference(resolution,[],[f494,f48]) ).
fof(f1026,plain,
! [X0,X1] : skaf51(X1) = tl(cons(skaf74(X0),skaf51(X1))),
inference(resolution,[],[f494,f44]) ).
fof(f1025,plain,
! [X0,X1] : skaf52(X1) = tl(cons(skaf74(X0),skaf52(X1))),
inference(resolution,[],[f494,f43]) ).
fof(f1024,plain,
! [X0,X1] : skaf53(X1) = tl(cons(skaf74(X0),skaf53(X1))),
inference(resolution,[],[f494,f42]) ).
fof(f1023,plain,
! [X0,X1] : skaf56(X1) = tl(cons(skaf74(X0),skaf56(X1))),
inference(resolution,[],[f494,f39]) ).
fof(f1022,plain,
! [X0,X1] : skaf57(X1) = tl(cons(skaf74(X0),skaf57(X1))),
inference(resolution,[],[f494,f38]) ).
fof(f1021,plain,
! [X0,X1] : skaf58(X1) = tl(cons(skaf74(X0),skaf58(X1))),
inference(resolution,[],[f494,f37]) ).
fof(f1020,plain,
! [X0,X1] : skaf61(X1) = tl(cons(skaf74(X0),skaf61(X1))),
inference(resolution,[],[f494,f34]) ).
fof(f1019,plain,
! [X0,X1] : skaf62(X1) = tl(cons(skaf74(X0),skaf62(X1))),
inference(resolution,[],[f494,f33]) ).
fof(f1018,plain,
! [X0,X1] : skaf63(X1) = tl(cons(skaf74(X0),skaf63(X1))),
inference(resolution,[],[f494,f32]) ).
fof(f1017,plain,
! [X0,X1] : skaf66(X1) = tl(cons(skaf74(X0),skaf66(X1))),
inference(resolution,[],[f494,f29]) ).
fof(f1016,plain,
! [X0,X1] : skaf67(X1) = tl(cons(skaf74(X0),skaf67(X1))),
inference(resolution,[],[f494,f28]) ).
fof(f1015,plain,
! [X0,X1] : skaf68(X1) = tl(cons(skaf74(X0),skaf68(X1))),
inference(resolution,[],[f494,f27]) ).
fof(f1014,plain,
! [X0,X1] : skaf71(X1) = tl(cons(skaf74(X0),skaf71(X1))),
inference(resolution,[],[f494,f24]) ).
fof(f1013,plain,
! [X0,X1] : skaf72(X1) = tl(cons(skaf74(X0),skaf72(X1))),
inference(resolution,[],[f494,f23]) ).
fof(f1012,plain,
! [X0,X1] : skaf73(X1) = tl(cons(skaf74(X0),skaf73(X1))),
inference(resolution,[],[f494,f22]) ).
fof(f1011,plain,
! [X0,X1] : skaf75(X1) = tl(cons(skaf74(X0),skaf75(X1))),
inference(resolution,[],[f494,f20]) ).
fof(f1010,plain,
! [X0,X1] : skaf76(X1) = tl(cons(skaf74(X0),skaf76(X1))),
inference(resolution,[],[f494,f19]) ).
fof(f1009,plain,
! [X0,X1] : skaf77(X1) = tl(cons(skaf74(X0),skaf77(X1))),
inference(resolution,[],[f494,f18]) ).
fof(f1008,plain,
! [X0,X1] : skaf80(X1) = tl(cons(skaf74(X0),skaf80(X1))),
inference(resolution,[],[f494,f15]) ).
fof(f1007,plain,
! [X0,X1] : skaf81(X1) = tl(cons(skaf74(X0),skaf81(X1))),
inference(resolution,[],[f494,f14]) ).
fof(f1006,plain,
! [X0,X1] : skaf82(X1) = tl(cons(skaf74(X0),skaf82(X1))),
inference(resolution,[],[f494,f13]) ).
fof(f494,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf74(X1),X0)) = X0 ),
inference(resolution,[],[f96,f21]) ).
fof(f960,plain,
! [X0] : nil = tl(cons(skaf78(X0),nil)),
inference(resolution,[],[f493,f8]) ).
fof(f992,plain,
! [X0] : sk2 = tl(cons(skaf78(X0),sk2)),
inference(resolution,[],[f493,f187]) ).
fof(f991,plain,
! [X0] : sk1 = tl(cons(skaf78(X0),sk1)),
inference(resolution,[],[f493,f186]) ).
fof(f996,plain,
! [X0] : sk2 = tl(cons(skaf78(X0),sk2)),
inference(forward_demodulation,[],[f994,f190]) ).
fof(f994,plain,
! [X0] : sk4 = tl(cons(skaf78(X0),sk4)),
inference(resolution,[],[f493,f189]) ).
fof(f995,plain,
! [X0] : sk1 = tl(cons(skaf78(X0),sk1)),
inference(forward_demodulation,[],[f993,f191]) ).
fof(f993,plain,
! [X0] : sk3 = tl(cons(skaf78(X0),sk3)),
inference(resolution,[],[f493,f188]) ).
fof(f990,plain,
! [X0,X1] :
( tl(X1) = tl(cons(skaf78(X0),tl(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f493,f75]) ).
fof(f989,plain,
! [X2,X0,X1] :
( app(X1,X2) = tl(cons(skaf78(X0),app(X1,X2)))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f493,f85]) ).
fof(f988,plain,
! [X2,X0,X1] :
( cons(X1,X2) = tl(cons(skaf78(X0),cons(X1,X2)))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(resolution,[],[f493,f86]) ).
fof(f987,plain,
! [X2,X0,X1] : skaf42(X1,X2) = tl(cons(skaf78(X0),skaf42(X1,X2))),
inference(resolution,[],[f493,f53]) ).
fof(f986,plain,
! [X2,X0,X1] : skaf43(X1,X2) = tl(cons(skaf78(X0),skaf43(X1,X2))),
inference(resolution,[],[f493,f52]) ).
fof(f985,plain,
! [X2,X0,X1] : skaf45(X1,X2) = tl(cons(skaf78(X0),skaf45(X1,X2))),
inference(resolution,[],[f493,f51]) ).
fof(f984,plain,
! [X2,X0,X1] : skaf46(X1,X2) = tl(cons(skaf78(X0),skaf46(X1,X2))),
inference(resolution,[],[f493,f50]) ).
fof(f983,plain,
! [X2,X0,X1] : skaf47(X1,X2) = tl(cons(skaf78(X0),skaf47(X1,X2))),
inference(resolution,[],[f493,f49]) ).
fof(f982,plain,
! [X2,X0,X1] : skaf48(X1,X2) = tl(cons(skaf78(X0),skaf48(X1,X2))),
inference(resolution,[],[f493,f48]) ).
fof(f981,plain,
! [X0,X1] : skaf51(X1) = tl(cons(skaf78(X0),skaf51(X1))),
inference(resolution,[],[f493,f44]) ).
fof(f980,plain,
! [X0,X1] : skaf52(X1) = tl(cons(skaf78(X0),skaf52(X1))),
inference(resolution,[],[f493,f43]) ).
fof(f979,plain,
! [X0,X1] : skaf53(X1) = tl(cons(skaf78(X0),skaf53(X1))),
inference(resolution,[],[f493,f42]) ).
fof(f978,plain,
! [X0,X1] : skaf56(X1) = tl(cons(skaf78(X0),skaf56(X1))),
inference(resolution,[],[f493,f39]) ).
fof(f977,plain,
! [X0,X1] : skaf57(X1) = tl(cons(skaf78(X0),skaf57(X1))),
inference(resolution,[],[f493,f38]) ).
fof(f976,plain,
! [X0,X1] : skaf58(X1) = tl(cons(skaf78(X0),skaf58(X1))),
inference(resolution,[],[f493,f37]) ).
fof(f975,plain,
! [X0,X1] : skaf61(X1) = tl(cons(skaf78(X0),skaf61(X1))),
inference(resolution,[],[f493,f34]) ).
fof(f974,plain,
! [X0,X1] : skaf62(X1) = tl(cons(skaf78(X0),skaf62(X1))),
inference(resolution,[],[f493,f33]) ).
fof(f973,plain,
! [X0,X1] : skaf63(X1) = tl(cons(skaf78(X0),skaf63(X1))),
inference(resolution,[],[f493,f32]) ).
fof(f972,plain,
! [X0,X1] : skaf66(X1) = tl(cons(skaf78(X0),skaf66(X1))),
inference(resolution,[],[f493,f29]) ).
fof(f971,plain,
! [X0,X1] : skaf67(X1) = tl(cons(skaf78(X0),skaf67(X1))),
inference(resolution,[],[f493,f28]) ).
fof(f970,plain,
! [X0,X1] : skaf68(X1) = tl(cons(skaf78(X0),skaf68(X1))),
inference(resolution,[],[f493,f27]) ).
fof(f969,plain,
! [X0,X1] : skaf71(X1) = tl(cons(skaf78(X0),skaf71(X1))),
inference(resolution,[],[f493,f24]) ).
fof(f968,plain,
! [X0,X1] : skaf72(X1) = tl(cons(skaf78(X0),skaf72(X1))),
inference(resolution,[],[f493,f23]) ).
fof(f967,plain,
! [X0,X1] : skaf73(X1) = tl(cons(skaf78(X0),skaf73(X1))),
inference(resolution,[],[f493,f22]) ).
fof(f966,plain,
! [X0,X1] : skaf75(X1) = tl(cons(skaf78(X0),skaf75(X1))),
inference(resolution,[],[f493,f20]) ).
fof(f965,plain,
! [X0,X1] : skaf76(X1) = tl(cons(skaf78(X0),skaf76(X1))),
inference(resolution,[],[f493,f19]) ).
fof(f964,plain,
! [X0,X1] : skaf77(X1) = tl(cons(skaf78(X0),skaf77(X1))),
inference(resolution,[],[f493,f18]) ).
fof(f963,plain,
! [X0,X1] : skaf80(X1) = tl(cons(skaf78(X0),skaf80(X1))),
inference(resolution,[],[f493,f15]) ).
fof(f962,plain,
! [X0,X1] : skaf81(X1) = tl(cons(skaf78(X0),skaf81(X1))),
inference(resolution,[],[f493,f14]) ).
fof(f961,plain,
! [X0,X1] : skaf82(X1) = tl(cons(skaf78(X0),skaf82(X1))),
inference(resolution,[],[f493,f13]) ).
fof(f493,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf78(X1),X0)) = X0 ),
inference(resolution,[],[f96,f17]) ).
fof(f917,plain,
! [X0] : nil = tl(cons(skaf79(X0),nil)),
inference(resolution,[],[f492,f8]) ).
fof(f949,plain,
! [X0] : sk2 = tl(cons(skaf79(X0),sk2)),
inference(resolution,[],[f492,f187]) ).
fof(f948,plain,
! [X0] : sk1 = tl(cons(skaf79(X0),sk1)),
inference(resolution,[],[f492,f186]) ).
fof(f953,plain,
! [X0] : sk2 = tl(cons(skaf79(X0),sk2)),
inference(forward_demodulation,[],[f951,f190]) ).
fof(f951,plain,
! [X0] : sk4 = tl(cons(skaf79(X0),sk4)),
inference(resolution,[],[f492,f189]) ).
fof(f952,plain,
! [X0] : sk1 = tl(cons(skaf79(X0),sk1)),
inference(forward_demodulation,[],[f950,f191]) ).
fof(f950,plain,
! [X0] : sk3 = tl(cons(skaf79(X0),sk3)),
inference(resolution,[],[f492,f188]) ).
fof(f947,plain,
! [X0,X1] :
( tl(X1) = tl(cons(skaf79(X0),tl(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f492,f75]) ).
fof(f946,plain,
! [X2,X0,X1] :
( app(X1,X2) = tl(cons(skaf79(X0),app(X1,X2)))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f492,f85]) ).
fof(f945,plain,
! [X2,X0,X1] :
( cons(X1,X2) = tl(cons(skaf79(X0),cons(X1,X2)))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(resolution,[],[f492,f86]) ).
fof(f944,plain,
! [X2,X0,X1] : skaf42(X1,X2) = tl(cons(skaf79(X0),skaf42(X1,X2))),
inference(resolution,[],[f492,f53]) ).
fof(f943,plain,
! [X2,X0,X1] : skaf43(X1,X2) = tl(cons(skaf79(X0),skaf43(X1,X2))),
inference(resolution,[],[f492,f52]) ).
fof(f942,plain,
! [X2,X0,X1] : skaf45(X1,X2) = tl(cons(skaf79(X0),skaf45(X1,X2))),
inference(resolution,[],[f492,f51]) ).
fof(f941,plain,
! [X2,X0,X1] : skaf46(X1,X2) = tl(cons(skaf79(X0),skaf46(X1,X2))),
inference(resolution,[],[f492,f50]) ).
fof(f940,plain,
! [X2,X0,X1] : skaf47(X1,X2) = tl(cons(skaf79(X0),skaf47(X1,X2))),
inference(resolution,[],[f492,f49]) ).
fof(f939,plain,
! [X2,X0,X1] : skaf48(X1,X2) = tl(cons(skaf79(X0),skaf48(X1,X2))),
inference(resolution,[],[f492,f48]) ).
fof(f938,plain,
! [X0,X1] : skaf51(X1) = tl(cons(skaf79(X0),skaf51(X1))),
inference(resolution,[],[f492,f44]) ).
fof(f937,plain,
! [X0,X1] : skaf52(X1) = tl(cons(skaf79(X0),skaf52(X1))),
inference(resolution,[],[f492,f43]) ).
fof(f936,plain,
! [X0,X1] : skaf53(X1) = tl(cons(skaf79(X0),skaf53(X1))),
inference(resolution,[],[f492,f42]) ).
fof(f935,plain,
! [X0,X1] : skaf56(X1) = tl(cons(skaf79(X0),skaf56(X1))),
inference(resolution,[],[f492,f39]) ).
fof(f934,plain,
! [X0,X1] : skaf57(X1) = tl(cons(skaf79(X0),skaf57(X1))),
inference(resolution,[],[f492,f38]) ).
fof(f933,plain,
! [X0,X1] : skaf58(X1) = tl(cons(skaf79(X0),skaf58(X1))),
inference(resolution,[],[f492,f37]) ).
fof(f932,plain,
! [X0,X1] : skaf61(X1) = tl(cons(skaf79(X0),skaf61(X1))),
inference(resolution,[],[f492,f34]) ).
fof(f931,plain,
! [X0,X1] : skaf62(X1) = tl(cons(skaf79(X0),skaf62(X1))),
inference(resolution,[],[f492,f33]) ).
fof(f930,plain,
! [X0,X1] : skaf63(X1) = tl(cons(skaf79(X0),skaf63(X1))),
inference(resolution,[],[f492,f32]) ).
fof(f929,plain,
! [X0,X1] : skaf66(X1) = tl(cons(skaf79(X0),skaf66(X1))),
inference(resolution,[],[f492,f29]) ).
fof(f928,plain,
! [X0,X1] : skaf67(X1) = tl(cons(skaf79(X0),skaf67(X1))),
inference(resolution,[],[f492,f28]) ).
fof(f927,plain,
! [X0,X1] : skaf68(X1) = tl(cons(skaf79(X0),skaf68(X1))),
inference(resolution,[],[f492,f27]) ).
fof(f926,plain,
! [X0,X1] : skaf71(X1) = tl(cons(skaf79(X0),skaf71(X1))),
inference(resolution,[],[f492,f24]) ).
fof(f925,plain,
! [X0,X1] : skaf72(X1) = tl(cons(skaf79(X0),skaf72(X1))),
inference(resolution,[],[f492,f23]) ).
fof(f924,plain,
! [X0,X1] : skaf73(X1) = tl(cons(skaf79(X0),skaf73(X1))),
inference(resolution,[],[f492,f22]) ).
fof(f923,plain,
! [X0,X1] : skaf75(X1) = tl(cons(skaf79(X0),skaf75(X1))),
inference(resolution,[],[f492,f20]) ).
fof(f922,plain,
! [X0,X1] : skaf76(X1) = tl(cons(skaf79(X0),skaf76(X1))),
inference(resolution,[],[f492,f19]) ).
fof(f921,plain,
! [X0,X1] : skaf77(X1) = tl(cons(skaf79(X0),skaf77(X1))),
inference(resolution,[],[f492,f18]) ).
fof(f920,plain,
! [X0,X1] : skaf80(X1) = tl(cons(skaf79(X0),skaf80(X1))),
inference(resolution,[],[f492,f15]) ).
fof(f919,plain,
! [X0,X1] : skaf81(X1) = tl(cons(skaf79(X0),skaf81(X1))),
inference(resolution,[],[f492,f14]) ).
fof(f918,plain,
! [X0,X1] : skaf82(X1) = tl(cons(skaf79(X0),skaf82(X1))),
inference(resolution,[],[f492,f13]) ).
fof(f492,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf79(X1),X0)) = X0 ),
inference(resolution,[],[f96,f16]) ).
fof(f916,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
inference(duplicate_literal_removal,[],[f915]) ).
fof(f915,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
inference(resolution,[],[f211,f101]) ).
fof(f211,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f872,plain,
! [X0] : nil = tl(cons(skaf83(X0),nil)),
inference(resolution,[],[f491,f8]) ).
fof(f904,plain,
! [X0] : sk2 = tl(cons(skaf83(X0),sk2)),
inference(resolution,[],[f491,f187]) ).
fof(f903,plain,
! [X0] : sk1 = tl(cons(skaf83(X0),sk1)),
inference(resolution,[],[f491,f186]) ).
fof(f908,plain,
! [X0] : sk2 = tl(cons(skaf83(X0),sk2)),
inference(forward_demodulation,[],[f906,f190]) ).
fof(f906,plain,
! [X0] : sk4 = tl(cons(skaf83(X0),sk4)),
inference(resolution,[],[f491,f189]) ).
fof(f907,plain,
! [X0] : sk1 = tl(cons(skaf83(X0),sk1)),
inference(forward_demodulation,[],[f905,f191]) ).
fof(f905,plain,
! [X0] : sk3 = tl(cons(skaf83(X0),sk3)),
inference(resolution,[],[f491,f188]) ).
fof(f902,plain,
! [X0,X1] :
( tl(X1) = tl(cons(skaf83(X0),tl(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f491,f75]) ).
fof(f901,plain,
! [X2,X0,X1] :
( app(X1,X2) = tl(cons(skaf83(X0),app(X1,X2)))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f491,f85]) ).
fof(f900,plain,
! [X2,X0,X1] :
( cons(X1,X2) = tl(cons(skaf83(X0),cons(X1,X2)))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(resolution,[],[f491,f86]) ).
fof(f899,plain,
! [X2,X0,X1] : skaf42(X1,X2) = tl(cons(skaf83(X0),skaf42(X1,X2))),
inference(resolution,[],[f491,f53]) ).
fof(f898,plain,
! [X2,X0,X1] : skaf43(X1,X2) = tl(cons(skaf83(X0),skaf43(X1,X2))),
inference(resolution,[],[f491,f52]) ).
fof(f897,plain,
! [X2,X0,X1] : skaf45(X1,X2) = tl(cons(skaf83(X0),skaf45(X1,X2))),
inference(resolution,[],[f491,f51]) ).
fof(f896,plain,
! [X2,X0,X1] : skaf46(X1,X2) = tl(cons(skaf83(X0),skaf46(X1,X2))),
inference(resolution,[],[f491,f50]) ).
fof(f895,plain,
! [X2,X0,X1] : skaf47(X1,X2) = tl(cons(skaf83(X0),skaf47(X1,X2))),
inference(resolution,[],[f491,f49]) ).
fof(f894,plain,
! [X2,X0,X1] : skaf48(X1,X2) = tl(cons(skaf83(X0),skaf48(X1,X2))),
inference(resolution,[],[f491,f48]) ).
fof(f893,plain,
! [X0,X1] : skaf51(X1) = tl(cons(skaf83(X0),skaf51(X1))),
inference(resolution,[],[f491,f44]) ).
fof(f892,plain,
! [X0,X1] : skaf52(X1) = tl(cons(skaf83(X0),skaf52(X1))),
inference(resolution,[],[f491,f43]) ).
fof(f891,plain,
! [X0,X1] : skaf53(X1) = tl(cons(skaf83(X0),skaf53(X1))),
inference(resolution,[],[f491,f42]) ).
fof(f890,plain,
! [X0,X1] : skaf56(X1) = tl(cons(skaf83(X0),skaf56(X1))),
inference(resolution,[],[f491,f39]) ).
fof(f889,plain,
! [X0,X1] : skaf57(X1) = tl(cons(skaf83(X0),skaf57(X1))),
inference(resolution,[],[f491,f38]) ).
fof(f888,plain,
! [X0,X1] : skaf58(X1) = tl(cons(skaf83(X0),skaf58(X1))),
inference(resolution,[],[f491,f37]) ).
fof(f887,plain,
! [X0,X1] : skaf61(X1) = tl(cons(skaf83(X0),skaf61(X1))),
inference(resolution,[],[f491,f34]) ).
fof(f886,plain,
! [X0,X1] : skaf62(X1) = tl(cons(skaf83(X0),skaf62(X1))),
inference(resolution,[],[f491,f33]) ).
fof(f885,plain,
! [X0,X1] : skaf63(X1) = tl(cons(skaf83(X0),skaf63(X1))),
inference(resolution,[],[f491,f32]) ).
fof(f884,plain,
! [X0,X1] : skaf66(X1) = tl(cons(skaf83(X0),skaf66(X1))),
inference(resolution,[],[f491,f29]) ).
fof(f883,plain,
! [X0,X1] : skaf67(X1) = tl(cons(skaf83(X0),skaf67(X1))),
inference(resolution,[],[f491,f28]) ).
fof(f882,plain,
! [X0,X1] : skaf68(X1) = tl(cons(skaf83(X0),skaf68(X1))),
inference(resolution,[],[f491,f27]) ).
fof(f881,plain,
! [X0,X1] : skaf71(X1) = tl(cons(skaf83(X0),skaf71(X1))),
inference(resolution,[],[f491,f24]) ).
fof(f880,plain,
! [X0,X1] : skaf72(X1) = tl(cons(skaf83(X0),skaf72(X1))),
inference(resolution,[],[f491,f23]) ).
fof(f879,plain,
! [X0,X1] : skaf73(X1) = tl(cons(skaf83(X0),skaf73(X1))),
inference(resolution,[],[f491,f22]) ).
fof(f878,plain,
! [X0,X1] : skaf75(X1) = tl(cons(skaf83(X0),skaf75(X1))),
inference(resolution,[],[f491,f20]) ).
fof(f877,plain,
! [X0,X1] : skaf76(X1) = tl(cons(skaf83(X0),skaf76(X1))),
inference(resolution,[],[f491,f19]) ).
fof(f876,plain,
! [X0,X1] : skaf77(X1) = tl(cons(skaf83(X0),skaf77(X1))),
inference(resolution,[],[f491,f18]) ).
fof(f875,plain,
! [X0,X1] : skaf80(X1) = tl(cons(skaf83(X0),skaf80(X1))),
inference(resolution,[],[f491,f15]) ).
fof(f874,plain,
! [X0,X1] : skaf81(X1) = tl(cons(skaf83(X0),skaf81(X1))),
inference(resolution,[],[f491,f14]) ).
fof(f873,plain,
! [X0,X1] : skaf82(X1) = tl(cons(skaf83(X0),skaf82(X1))),
inference(resolution,[],[f491,f13]) ).
fof(f491,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf83(X1),X0)) = X0 ),
inference(resolution,[],[f96,f12]) ).
fof(f350,plain,
! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
inference(resolution,[],[f74,f53]) ).
fof(f349,plain,
! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
inference(resolution,[],[f74,f52]) ).
fof(f348,plain,
! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
inference(resolution,[],[f74,f51]) ).
fof(f347,plain,
! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
inference(resolution,[],[f74,f50]) ).
fof(f346,plain,
! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
inference(resolution,[],[f74,f49]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f345,plain,
! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)),
inference(resolution,[],[f74,f48]) ).
fof(f703,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf42(X0,X1))),
inference(resolution,[],[f592,f53]) ).
fof(f702,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf43(X0,X1))),
inference(resolution,[],[f592,f52]) ).
fof(f701,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf45(X0,X1))),
inference(resolution,[],[f592,f51]) ).
fof(f700,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf46(X0,X1))),
inference(resolution,[],[f592,f50]) ).
fof(f699,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf47(X0,X1))),
inference(resolution,[],[f592,f49]) ).
fof(f698,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf48(X0,X1))),
inference(resolution,[],[f592,f48]) ).
fof(f638,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf42(X0,X1))),
inference(resolution,[],[f591,f53]) ).
fof(f637,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf43(X0,X1))),
inference(resolution,[],[f591,f52]) ).
fof(f636,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf45(X0,X1))),
inference(resolution,[],[f591,f51]) ).
fof(f635,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf46(X0,X1))),
inference(resolution,[],[f591,f50]) ).
fof(f849,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ lt(X0,X1) ),
inference(duplicate_literal_removal,[],[f848]) ).
fof(f848,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f110,f106]) ).
fof(f110,axiom,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f634,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf47(X0,X1))),
inference(resolution,[],[f591,f49]) ).
fof(f633,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf48(X0,X1))),
inference(resolution,[],[f591,f48]) ).
fof(f571,plain,
! [X0] : skaf51(X0) = tl(cons(skac2,skaf51(X0))),
inference(resolution,[],[f490,f44]) ).
fof(f570,plain,
! [X0] : skaf52(X0) = tl(cons(skac2,skaf52(X0))),
inference(resolution,[],[f490,f43]) ).
fof(f569,plain,
! [X0] : skaf53(X0) = tl(cons(skac2,skaf53(X0))),
inference(resolution,[],[f490,f42]) ).
fof(f568,plain,
! [X0] : skaf56(X0) = tl(cons(skac2,skaf56(X0))),
inference(resolution,[],[f490,f39]) ).
fof(f567,plain,
! [X0] : skaf57(X0) = tl(cons(skac2,skaf57(X0))),
inference(resolution,[],[f490,f38]) ).
fof(f566,plain,
! [X0] : skaf58(X0) = tl(cons(skac2,skaf58(X0))),
inference(resolution,[],[f490,f37]) ).
fof(f565,plain,
! [X0] : skaf61(X0) = tl(cons(skac2,skaf61(X0))),
inference(resolution,[],[f490,f34]) ).
fof(f564,plain,
! [X0] : skaf62(X0) = tl(cons(skac2,skaf62(X0))),
inference(resolution,[],[f490,f33]) ).
fof(f563,plain,
! [X0] : skaf63(X0) = tl(cons(skac2,skaf63(X0))),
inference(resolution,[],[f490,f32]) ).
fof(f827,plain,
! [X0] :
( geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f826,f46]) ).
fof(f826,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f821,f45]) ).
fof(f821,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ ssItem(skaf49(X0))
| geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f108,f88]) ).
fof(f825,plain,
! [X0] :
( geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f824,f45]) ).
fof(f824,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f820,f46]) ).
fof(f820,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f108,f87]) ).
fof(f108,axiom,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| geq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f562,plain,
! [X0] : skaf66(X0) = tl(cons(skac2,skaf66(X0))),
inference(resolution,[],[f490,f29]) ).
fof(f561,plain,
! [X0] : skaf67(X0) = tl(cons(skac2,skaf67(X0))),
inference(resolution,[],[f490,f28]) ).
fof(f560,plain,
! [X0] : skaf68(X0) = tl(cons(skac2,skaf68(X0))),
inference(resolution,[],[f490,f27]) ).
fof(f559,plain,
! [X0] : skaf71(X0) = tl(cons(skac2,skaf71(X0))),
inference(resolution,[],[f490,f24]) ).
fof(f558,plain,
! [X0] : skaf72(X0) = tl(cons(skac2,skaf72(X0))),
inference(resolution,[],[f490,f23]) ).
fof(f557,plain,
! [X0] : skaf73(X0) = tl(cons(skac2,skaf73(X0))),
inference(resolution,[],[f490,f22]) ).
fof(f556,plain,
! [X0] : skaf75(X0) = tl(cons(skac2,skaf75(X0))),
inference(resolution,[],[f490,f20]) ).
fof(f555,plain,
! [X0] : skaf76(X0) = tl(cons(skac2,skaf76(X0))),
inference(resolution,[],[f490,f19]) ).
fof(f554,plain,
! [X0] : skaf77(X0) = tl(cons(skac2,skaf77(X0))),
inference(resolution,[],[f490,f18]) ).
fof(f553,plain,
! [X0] : skaf80(X0) = tl(cons(skac2,skaf80(X0))),
inference(resolution,[],[f490,f15]) ).
fof(f552,plain,
! [X0] : skaf81(X0) = tl(cons(skac2,skaf81(X0))),
inference(resolution,[],[f490,f14]) ).
fof(f795,plain,
! [X0] :
( ~ geq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f794,f41]) ).
fof(f794,plain,
! [X0] :
( ~ geq(skaf55(X0),skaf54(X0))
| ~ ssItem(skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f789,f40]) ).
fof(f789,plain,
! [X0] :
( ~ ssItem(skaf55(X0))
| ~ geq(skaf55(X0),skaf54(X0))
| ~ ssItem(skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f95]) ).
fof(f793,plain,
! [X0] :
( ~ geq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f792,f40]) ).
fof(f792,plain,
! [X0] :
( ~ geq(skaf54(X0),skaf55(X0))
| ~ ssItem(skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f788,f41]) ).
fof(f788,plain,
! [X0] :
( ~ ssItem(skaf54(X0))
| ~ geq(skaf54(X0),skaf55(X0))
| ~ ssItem(skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f94]) ).
fof(f791,plain,
! [X0] :
( ~ geq(skaf65(X0),skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f790,f31]) ).
fof(f790,plain,
! [X0] :
( ~ geq(skaf65(X0),skaf64(X0))
| ~ ssItem(skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f787,f30]) ).
fof(f787,plain,
! [X0] :
( ~ ssItem(skaf65(X0))
| ~ geq(skaf65(X0),skaf64(X0))
| ~ ssItem(skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f91]) ).
fof(f107,axiom,
! [X0,X1] :
( leq(X1,X0)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f551,plain,
! [X0] : skaf82(X0) = tl(cons(skac2,skaf82(X0))),
inference(resolution,[],[f490,f13]) ).
fof(f528,plain,
! [X0] : skaf51(X0) = tl(cons(skac3,skaf51(X0))),
inference(resolution,[],[f489,f44]) ).
fof(f527,plain,
! [X0] : skaf52(X0) = tl(cons(skac3,skaf52(X0))),
inference(resolution,[],[f489,f43]) ).
fof(f526,plain,
! [X0] : skaf53(X0) = tl(cons(skac3,skaf53(X0))),
inference(resolution,[],[f489,f42]) ).
fof(f525,plain,
! [X0] : skaf56(X0) = tl(cons(skac3,skaf56(X0))),
inference(resolution,[],[f489,f39]) ).
fof(f524,plain,
! [X0] : skaf57(X0) = tl(cons(skac3,skaf57(X0))),
inference(resolution,[],[f489,f38]) ).
fof(f523,plain,
! [X0] : skaf58(X0) = tl(cons(skac3,skaf58(X0))),
inference(resolution,[],[f489,f37]) ).
fof(f522,plain,
! [X0] : skaf61(X0) = tl(cons(skac3,skaf61(X0))),
inference(resolution,[],[f489,f34]) ).
fof(f521,plain,
! [X0] : skaf62(X0) = tl(cons(skac3,skaf62(X0))),
inference(resolution,[],[f489,f33]) ).
fof(f520,plain,
! [X0] : skaf63(X0) = tl(cons(skac3,skaf63(X0))),
inference(resolution,[],[f489,f32]) ).
fof(f519,plain,
! [X0] : skaf66(X0) = tl(cons(skac3,skaf66(X0))),
inference(resolution,[],[f489,f29]) ).
fof(f106,axiom,
! [X0,X1] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f518,plain,
! [X0] : skaf67(X0) = tl(cons(skac3,skaf67(X0))),
inference(resolution,[],[f489,f28]) ).
fof(f517,plain,
! [X0] : skaf68(X0) = tl(cons(skac3,skaf68(X0))),
inference(resolution,[],[f489,f27]) ).
fof(f516,plain,
! [X0] : skaf71(X0) = tl(cons(skac3,skaf71(X0))),
inference(resolution,[],[f489,f24]) ).
fof(f515,plain,
! [X0] : skaf72(X0) = tl(cons(skac3,skaf72(X0))),
inference(resolution,[],[f489,f23]) ).
fof(f514,plain,
! [X0] : skaf73(X0) = tl(cons(skac3,skaf73(X0))),
inference(resolution,[],[f489,f22]) ).
fof(f513,plain,
! [X0] : skaf75(X0) = tl(cons(skac3,skaf75(X0))),
inference(resolution,[],[f489,f20]) ).
fof(f512,plain,
! [X0] : skaf76(X0) = tl(cons(skac3,skaf76(X0))),
inference(resolution,[],[f489,f19]) ).
fof(f511,plain,
! [X0] : skaf77(X0) = tl(cons(skac3,skaf77(X0))),
inference(resolution,[],[f489,f18]) ).
fof(f510,plain,
! [X0] : skaf80(X0) = tl(cons(skac3,skaf80(X0))),
inference(resolution,[],[f489,f15]) ).
fof(f509,plain,
! [X0] : skaf81(X0) = tl(cons(skac3,skaf81(X0))),
inference(resolution,[],[f489,f14]) ).
fof(f508,plain,
! [X0] : skaf82(X0) = tl(cons(skac3,skaf82(X0))),
inference(resolution,[],[f489,f13]) ).
fof(f105,axiom,
! [X0,X1] :
( ~ gt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f697,plain,
! [X0] : skac2 = hd(cons(skac2,skaf51(X0))),
inference(resolution,[],[f592,f44]) ).
fof(f696,plain,
! [X0] : skac2 = hd(cons(skac2,skaf52(X0))),
inference(resolution,[],[f592,f43]) ).
fof(f695,plain,
! [X0] : skac2 = hd(cons(skac2,skaf53(X0))),
inference(resolution,[],[f592,f42]) ).
fof(f694,plain,
! [X0] : skac2 = hd(cons(skac2,skaf56(X0))),
inference(resolution,[],[f592,f39]) ).
fof(f693,plain,
! [X0] : skac2 = hd(cons(skac2,skaf57(X0))),
inference(resolution,[],[f592,f38]) ).
fof(f692,plain,
! [X0] : skac2 = hd(cons(skac2,skaf58(X0))),
inference(resolution,[],[f592,f37]) ).
fof(f691,plain,
! [X0] : skac2 = hd(cons(skac2,skaf61(X0))),
inference(resolution,[],[f592,f34]) ).
fof(f690,plain,
! [X0] : skac2 = hd(cons(skac2,skaf62(X0))),
inference(resolution,[],[f592,f33]) ).
fof(f689,plain,
! [X0] : skac2 = hd(cons(skac2,skaf63(X0))),
inference(resolution,[],[f592,f32]) ).
fof(f688,plain,
! [X0] : skac2 = hd(cons(skac2,skaf66(X0))),
inference(resolution,[],[f592,f29]) ).
fof(f687,plain,
! [X0] : skac2 = hd(cons(skac2,skaf67(X0))),
inference(resolution,[],[f592,f28]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f686,plain,
! [X0] : skac2 = hd(cons(skac2,skaf68(X0))),
inference(resolution,[],[f592,f27]) ).
fof(f685,plain,
! [X0] : skac2 = hd(cons(skac2,skaf71(X0))),
inference(resolution,[],[f592,f24]) ).
fof(f684,plain,
! [X0] : skac2 = hd(cons(skac2,skaf72(X0))),
inference(resolution,[],[f592,f23]) ).
fof(f683,plain,
! [X0] : skac2 = hd(cons(skac2,skaf73(X0))),
inference(resolution,[],[f592,f22]) ).
fof(f682,plain,
! [X0] : skac2 = hd(cons(skac2,skaf75(X0))),
inference(resolution,[],[f592,f20]) ).
fof(f681,plain,
! [X0] : skac2 = hd(cons(skac2,skaf76(X0))),
inference(resolution,[],[f592,f19]) ).
fof(f680,plain,
! [X0] : skac2 = hd(cons(skac2,skaf77(X0))),
inference(resolution,[],[f592,f18]) ).
fof(f679,plain,
! [X0] : skac2 = hd(cons(skac2,skaf80(X0))),
inference(resolution,[],[f592,f15]) ).
fof(f678,plain,
! [X0] : skac2 = hd(cons(skac2,skaf81(X0))),
inference(resolution,[],[f592,f14]) ).
fof(f677,plain,
! [X0] : skac2 = hd(cons(skac2,skaf82(X0))),
inference(resolution,[],[f592,f13]) ).
fof(f676,plain,
skac2 = hd(cons(skac2,nil)),
inference(resolution,[],[f592,f8]) ).
fof(f102,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X0)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f708,plain,
skac2 = hd(cons(skac2,sk2)),
inference(resolution,[],[f592,f187]) ).
fof(f707,plain,
skac2 = hd(cons(skac2,sk1)),
inference(resolution,[],[f592,f186]) ).
fof(f712,plain,
skac2 = hd(cons(skac2,sk2)),
inference(forward_demodulation,[],[f710,f190]) ).
fof(f710,plain,
skac2 = hd(cons(skac2,sk4)),
inference(resolution,[],[f592,f189]) ).
fof(f711,plain,
skac2 = hd(cons(skac2,sk1)),
inference(forward_demodulation,[],[f709,f191]) ).
fof(f709,plain,
skac2 = hd(cons(skac2,sk3)),
inference(resolution,[],[f592,f188]) ).
fof(f706,plain,
! [X0] :
( skac2 = hd(cons(skac2,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f592,f75]) ).
fof(f705,plain,
! [X0,X1] :
( skac2 = hd(cons(skac2,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f592,f85]) ).
fof(f704,plain,
! [X0,X1] :
( skac2 = hd(cons(skac2,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f592,f86]) ).
fof(f592,plain,
! [X0] :
( ~ ssList(X0)
| skac2 = hd(cons(skac2,X0)) ),
inference(resolution,[],[f97,f10]) ).
fof(f632,plain,
! [X0] : skac3 = hd(cons(skac3,skaf51(X0))),
inference(resolution,[],[f591,f44]) ).
fof(f631,plain,
! [X0] : skac3 = hd(cons(skac3,skaf52(X0))),
inference(resolution,[],[f591,f43]) ).
fof(f630,plain,
! [X0] : skac3 = hd(cons(skac3,skaf53(X0))),
inference(resolution,[],[f591,f42]) ).
fof(f629,plain,
! [X0] : skac3 = hd(cons(skac3,skaf56(X0))),
inference(resolution,[],[f591,f39]) ).
fof(f628,plain,
! [X0] : skac3 = hd(cons(skac3,skaf57(X0))),
inference(resolution,[],[f591,f38]) ).
fof(f627,plain,
! [X0] : skac3 = hd(cons(skac3,skaf58(X0))),
inference(resolution,[],[f591,f37]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f626,plain,
! [X0] : skac3 = hd(cons(skac3,skaf61(X0))),
inference(resolution,[],[f591,f34]) ).
fof(f625,plain,
! [X0] : skac3 = hd(cons(skac3,skaf62(X0))),
inference(resolution,[],[f591,f33]) ).
fof(f624,plain,
! [X0] : skac3 = hd(cons(skac3,skaf63(X0))),
inference(resolution,[],[f591,f32]) ).
fof(f623,plain,
! [X0] : skac3 = hd(cons(skac3,skaf66(X0))),
inference(resolution,[],[f591,f29]) ).
fof(f622,plain,
! [X0] : skac3 = hd(cons(skac3,skaf67(X0))),
inference(resolution,[],[f591,f28]) ).
fof(f621,plain,
! [X0] : skac3 = hd(cons(skac3,skaf68(X0))),
inference(resolution,[],[f591,f27]) ).
fof(f620,plain,
! [X0] : skac3 = hd(cons(skac3,skaf71(X0))),
inference(resolution,[],[f591,f24]) ).
fof(f619,plain,
! [X0] : skac3 = hd(cons(skac3,skaf72(X0))),
inference(resolution,[],[f591,f23]) ).
fof(f618,plain,
! [X0] : skac3 = hd(cons(skac3,skaf73(X0))),
inference(resolution,[],[f591,f22]) ).
fof(f617,plain,
! [X0] : skac3 = hd(cons(skac3,skaf75(X0))),
inference(resolution,[],[f591,f20]) ).
fof(f616,plain,
! [X0] : skac3 = hd(cons(skac3,skaf76(X0))),
inference(resolution,[],[f591,f19]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f615,plain,
! [X0] : skac3 = hd(cons(skac3,skaf77(X0))),
inference(resolution,[],[f591,f18]) ).
fof(f614,plain,
! [X0] : skac3 = hd(cons(skac3,skaf80(X0))),
inference(resolution,[],[f591,f15]) ).
fof(f613,plain,
! [X0] : skac3 = hd(cons(skac3,skaf81(X0))),
inference(resolution,[],[f591,f14]) ).
fof(f612,plain,
! [X0] : skac3 = hd(cons(skac3,skaf82(X0))),
inference(resolution,[],[f591,f13]) ).
fof(f611,plain,
skac3 = hd(cons(skac3,nil)),
inference(resolution,[],[f591,f8]) ).
fof(f643,plain,
skac3 = hd(cons(skac3,sk2)),
inference(resolution,[],[f591,f187]) ).
fof(f642,plain,
skac3 = hd(cons(skac3,sk1)),
inference(resolution,[],[f591,f186]) ).
fof(f647,plain,
skac3 = hd(cons(skac3,sk2)),
inference(forward_demodulation,[],[f645,f190]) ).
fof(f645,plain,
skac3 = hd(cons(skac3,sk4)),
inference(resolution,[],[f591,f189]) ).
fof(f646,plain,
skac3 = hd(cons(skac3,sk1)),
inference(forward_demodulation,[],[f644,f191]) ).
fof(f644,plain,
skac3 = hd(cons(skac3,sk3)),
inference(resolution,[],[f591,f188]) ).
fof(f641,plain,
! [X0] :
( skac3 = hd(cons(skac3,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f591,f75]) ).
fof(f640,plain,
! [X0,X1] :
( skac3 = hd(cons(skac3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f591,f85]) ).
fof(f639,plain,
! [X0,X1] :
( skac3 = hd(cons(skac3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f591,f86]) ).
fof(f591,plain,
! [X0] :
( ~ ssList(X0)
| skac3 = hd(cons(skac3,X0)) ),
inference(resolution,[],[f97,f9]) ).
fof(f550,plain,
nil = tl(cons(skac2,nil)),
inference(resolution,[],[f490,f8]) ).
fof(f608,plain,
! [X0,X1] :
( ~ ssList(X0)
| hd(X1) = hd(cons(hd(X1),X0))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f97,f76]) ).
fof(f607,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf44(X1) = hd(cons(skaf44(X1),X0)) ),
inference(resolution,[],[f97,f47]) ).
fof(f606,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf49(X1) = hd(cons(skaf49(X1),X0)) ),
inference(resolution,[],[f97,f46]) ).
fof(f605,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf50(X1) = hd(cons(skaf50(X1),X0)) ),
inference(resolution,[],[f97,f45]) ).
fof(f604,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf54(X1) = hd(cons(skaf54(X1),X0)) ),
inference(resolution,[],[f97,f41]) ).
fof(f603,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf55(X1) = hd(cons(skaf55(X1),X0)) ),
inference(resolution,[],[f97,f40]) ).
fof(f602,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf59(X1) = hd(cons(skaf59(X1),X0)) ),
inference(resolution,[],[f97,f36]) ).
fof(f601,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf60(X1) = hd(cons(skaf60(X1),X0)) ),
inference(resolution,[],[f97,f35]) ).
fof(f600,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf64(X1) = hd(cons(skaf64(X1),X0)) ),
inference(resolution,[],[f97,f31]) ).
fof(f599,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf65(X1) = hd(cons(skaf65(X1),X0)) ),
inference(resolution,[],[f97,f30]) ).
fof(f598,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf69(X1) = hd(cons(skaf69(X1),X0)) ),
inference(resolution,[],[f97,f26]) ).
fof(f597,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf70(X1) = hd(cons(skaf70(X1),X0)) ),
inference(resolution,[],[f97,f25]) ).
fof(f596,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf74(X1) = hd(cons(skaf74(X1),X0)) ),
inference(resolution,[],[f97,f21]) ).
fof(f595,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf78(X1) = hd(cons(skaf78(X1),X0)) ),
inference(resolution,[],[f97,f17]) ).
fof(f594,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf79(X1) = hd(cons(skaf79(X1),X0)) ),
inference(resolution,[],[f97,f16]) ).
fof(f593,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf83(X1) = hd(cons(skaf83(X1),X0)) ),
inference(resolution,[],[f97,f12]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f582,plain,
sk2 = tl(cons(skac2,sk2)),
inference(resolution,[],[f490,f187]) ).
fof(f581,plain,
sk1 = tl(cons(skac2,sk1)),
inference(resolution,[],[f490,f186]) ).
fof(f586,plain,
sk2 = tl(cons(skac2,sk2)),
inference(forward_demodulation,[],[f584,f190]) ).
fof(f584,plain,
sk4 = tl(cons(skac2,sk4)),
inference(resolution,[],[f490,f189]) ).
fof(f585,plain,
sk1 = tl(cons(skac2,sk1)),
inference(forward_demodulation,[],[f583,f191]) ).
fof(f583,plain,
sk3 = tl(cons(skac2,sk3)),
inference(resolution,[],[f490,f188]) ).
fof(f580,plain,
! [X0] :
( tl(X0) = tl(cons(skac2,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f490,f75]) ).
fof(f579,plain,
! [X0,X1] :
( app(X0,X1) = tl(cons(skac2,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f490,f85]) ).
fof(f578,plain,
! [X0,X1] :
( cons(X0,X1) = tl(cons(skac2,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f490,f86]) ).
fof(f577,plain,
! [X0,X1] : skaf42(X0,X1) = tl(cons(skac2,skaf42(X0,X1))),
inference(resolution,[],[f490,f53]) ).
fof(f576,plain,
! [X0,X1] : skaf43(X0,X1) = tl(cons(skac2,skaf43(X0,X1))),
inference(resolution,[],[f490,f52]) ).
fof(f575,plain,
! [X0,X1] : skaf45(X0,X1) = tl(cons(skac2,skaf45(X0,X1))),
inference(resolution,[],[f490,f51]) ).
fof(f574,plain,
! [X0,X1] : skaf46(X0,X1) = tl(cons(skac2,skaf46(X0,X1))),
inference(resolution,[],[f490,f50]) ).
fof(f573,plain,
! [X0,X1] : skaf47(X0,X1) = tl(cons(skac2,skaf47(X0,X1))),
inference(resolution,[],[f490,f49]) ).
fof(f572,plain,
! [X0,X1] : skaf48(X0,X1) = tl(cons(skac2,skaf48(X0,X1))),
inference(resolution,[],[f490,f48]) ).
fof(f490,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac2,X0)) = X0 ),
inference(resolution,[],[f96,f10]) ).
fof(f507,plain,
nil = tl(cons(skac3,nil)),
inference(resolution,[],[f489,f8]) ).
fof(f539,plain,
sk2 = tl(cons(skac3,sk2)),
inference(resolution,[],[f489,f187]) ).
fof(f538,plain,
sk1 = tl(cons(skac3,sk1)),
inference(resolution,[],[f489,f186]) ).
fof(f543,plain,
sk2 = tl(cons(skac3,sk2)),
inference(forward_demodulation,[],[f541,f190]) ).
fof(f541,plain,
sk4 = tl(cons(skac3,sk4)),
inference(resolution,[],[f489,f189]) ).
fof(f542,plain,
sk1 = tl(cons(skac3,sk1)),
inference(forward_demodulation,[],[f540,f191]) ).
fof(f540,plain,
sk3 = tl(cons(skac3,sk3)),
inference(resolution,[],[f489,f188]) ).
fof(f537,plain,
! [X0] :
( tl(X0) = tl(cons(skac3,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f489,f75]) ).
fof(f536,plain,
! [X0,X1] :
( app(X0,X1) = tl(cons(skac3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f489,f85]) ).
fof(f535,plain,
! [X0,X1] :
( cons(X0,X1) = tl(cons(skac3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f489,f86]) ).
fof(f534,plain,
! [X0,X1] : skaf42(X0,X1) = tl(cons(skac3,skaf42(X0,X1))),
inference(resolution,[],[f489,f53]) ).
fof(f533,plain,
! [X0,X1] : skaf43(X0,X1) = tl(cons(skac3,skaf43(X0,X1))),
inference(resolution,[],[f489,f52]) ).
fof(f532,plain,
! [X0,X1] : skaf45(X0,X1) = tl(cons(skac3,skaf45(X0,X1))),
inference(resolution,[],[f489,f51]) ).
fof(f531,plain,
! [X0,X1] : skaf46(X0,X1) = tl(cons(skac3,skaf46(X0,X1))),
inference(resolution,[],[f489,f50]) ).
fof(f530,plain,
! [X0,X1] : skaf47(X0,X1) = tl(cons(skac3,skaf47(X0,X1))),
inference(resolution,[],[f489,f49]) ).
fof(f529,plain,
! [X0,X1] : skaf48(X0,X1) = tl(cons(skac3,skaf48(X0,X1))),
inference(resolution,[],[f489,f48]) ).
fof(f489,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac3,X0)) = X0 ),
inference(resolution,[],[f96,f9]) ).
fof(f506,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(hd(X1),X0)) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f96,f76]) ).
fof(f505,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf44(X1),X0)) = X0 ),
inference(resolution,[],[f96,f47]) ).
fof(f504,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf49(X1),X0)) = X0 ),
inference(resolution,[],[f96,f46]) ).
fof(f503,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf50(X1),X0)) = X0 ),
inference(resolution,[],[f96,f45]) ).
fof(f502,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf54(X1),X0)) = X0 ),
inference(resolution,[],[f96,f41]) ).
fof(f501,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf55(X1),X0)) = X0 ),
inference(resolution,[],[f96,f40]) ).
fof(f500,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf59(X1),X0)) = X0 ),
inference(resolution,[],[f96,f36]) ).
fof(f499,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf60(X1),X0)) = X0 ),
inference(resolution,[],[f96,f35]) ).
fof(f498,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf64(X1),X0)) = X0 ),
inference(resolution,[],[f96,f31]) ).
fof(f497,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf65(X1),X0)) = X0 ),
inference(resolution,[],[f96,f30]) ).
fof(f496,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf69(X1),X0)) = X0 ),
inference(resolution,[],[f96,f26]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f316,plain,
! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil),
inference(resolution,[],[f73,f53]) ).
fof(f315,plain,
! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil),
inference(resolution,[],[f73,f52]) ).
fof(f314,plain,
! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil),
inference(resolution,[],[f73,f51]) ).
fof(f313,plain,
! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
inference(resolution,[],[f73,f50]) ).
fof(f312,plain,
! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil),
inference(resolution,[],[f73,f49]) ).
fof(f311,plain,
! [X0,X1] : skaf48(X0,X1) = app(skaf48(X0,X1),nil),
inference(resolution,[],[f73,f48]) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f95,axiom,
! [X0] :
( ~ leq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f94,axiom,
! [X0] :
( ~ leq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f93,axiom,
! [X0] :
( ~ lt(skaf59(X0),skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f92,axiom,
! [X0] :
( ~ lt(skaf60(X0),skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f91,axiom,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f90,axiom,
! [X0] :
( ~ lt(skaf69(X0),skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f89,axiom,
! [X0] :
( skaf79(X0) != skaf78(X0)
| equalelemsP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f427,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,X0),nil) ),
inference(resolution,[],[f86,f73]) ).
fof(f426,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(nil,cons(X1,X0)) ),
inference(resolution,[],[f86,f74]) ).
fof(f376,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(app(X0,X1),nil) ),
inference(resolution,[],[f85,f73]) ).
fof(f375,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(resolution,[],[f85,f74]) ).
fof(f84,axiom,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f344,plain,
! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
inference(resolution,[],[f74,f44]) ).
fof(f343,plain,
! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
inference(resolution,[],[f74,f43]) ).
fof(f342,plain,
! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
inference(resolution,[],[f74,f42]) ).
fof(f341,plain,
! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
inference(resolution,[],[f74,f39]) ).
fof(f340,plain,
! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
inference(resolution,[],[f74,f38]) ).
fof(f339,plain,
! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
inference(resolution,[],[f74,f37]) ).
fof(f338,plain,
! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
inference(resolution,[],[f74,f34]) ).
fof(f337,plain,
! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
inference(resolution,[],[f74,f33]) ).
fof(f336,plain,
! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
inference(resolution,[],[f74,f32]) ).
fof(f335,plain,
! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
inference(resolution,[],[f74,f29]) ).
fof(f334,plain,
! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
inference(resolution,[],[f74,f28]) ).
fof(f333,plain,
! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
inference(resolution,[],[f74,f27]) ).
fof(f332,plain,
! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
inference(resolution,[],[f74,f24]) ).
fof(f331,plain,
! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
inference(resolution,[],[f74,f23]) ).
fof(f330,plain,
! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
inference(resolution,[],[f74,f22]) ).
fof(f329,plain,
! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
inference(resolution,[],[f74,f20]) ).
fof(f328,plain,
! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
inference(resolution,[],[f74,f19]) ).
fof(f327,plain,
! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
inference(resolution,[],[f74,f18]) ).
fof(f326,plain,
! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
inference(resolution,[],[f74,f15]) ).
fof(f325,plain,
! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
inference(resolution,[],[f74,f14]) ).
fof(f324,plain,
! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
inference(resolution,[],[f74,f13]) ).
fof(f310,plain,
! [X0] : skaf51(X0) = app(skaf51(X0),nil),
inference(resolution,[],[f73,f44]) ).
fof(f309,plain,
! [X0] : skaf52(X0) = app(skaf52(X0),nil),
inference(resolution,[],[f73,f43]) ).
fof(f308,plain,
! [X0] : skaf53(X0) = app(skaf53(X0),nil),
inference(resolution,[],[f73,f42]) ).
fof(f307,plain,
! [X0] : skaf56(X0) = app(skaf56(X0),nil),
inference(resolution,[],[f73,f39]) ).
fof(f306,plain,
! [X0] : skaf57(X0) = app(skaf57(X0),nil),
inference(resolution,[],[f73,f38]) ).
fof(f305,plain,
! [X0] : skaf58(X0) = app(skaf58(X0),nil),
inference(resolution,[],[f73,f37]) ).
fof(f304,plain,
! [X0] : skaf61(X0) = app(skaf61(X0),nil),
inference(resolution,[],[f73,f34]) ).
fof(f303,plain,
! [X0] : skaf62(X0) = app(skaf62(X0),nil),
inference(resolution,[],[f73,f33]) ).
fof(f302,plain,
! [X0] : skaf63(X0) = app(skaf63(X0),nil),
inference(resolution,[],[f73,f32]) ).
fof(f301,plain,
! [X0] : skaf66(X0) = app(skaf66(X0),nil),
inference(resolution,[],[f73,f29]) ).
fof(f300,plain,
! [X0] : skaf67(X0) = app(skaf67(X0),nil),
inference(resolution,[],[f73,f28]) ).
fof(f299,plain,
! [X0] : skaf68(X0) = app(skaf68(X0),nil),
inference(resolution,[],[f73,f27]) ).
fof(f298,plain,
! [X0] : skaf71(X0) = app(skaf71(X0),nil),
inference(resolution,[],[f73,f24]) ).
fof(f297,plain,
! [X0] : skaf72(X0) = app(skaf72(X0),nil),
inference(resolution,[],[f73,f23]) ).
fof(f296,plain,
! [X0] : skaf73(X0) = app(skaf73(X0),nil),
inference(resolution,[],[f73,f22]) ).
fof(f295,plain,
! [X0] : skaf75(X0) = app(skaf75(X0),nil),
inference(resolution,[],[f73,f20]) ).
fof(f294,plain,
! [X0] : skaf76(X0) = app(skaf76(X0),nil),
inference(resolution,[],[f73,f19]) ).
fof(f293,plain,
! [X0] : skaf77(X0) = app(skaf77(X0),nil),
inference(resolution,[],[f73,f18]) ).
fof(f292,plain,
! [X0] : skaf80(X0) = app(skaf80(X0),nil),
inference(resolution,[],[f73,f15]) ).
fof(f291,plain,
! [X0] : skaf81(X0) = app(skaf81(X0),nil),
inference(resolution,[],[f73,f14]) ).
fof(f290,plain,
! [X0] : skaf82(X0) = app(skaf82(X0),nil),
inference(resolution,[],[f73,f13]) ).
fof(f358,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f75,f73]) ).
fof(f357,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ),
inference(resolution,[],[f75,f74]) ).
fof(f352,plain,
sk2 = app(nil,sk2),
inference(resolution,[],[f74,f187]) ).
fof(f351,plain,
sk1 = app(nil,sk1),
inference(resolution,[],[f74,f186]) ).
fof(f356,plain,
sk2 = app(nil,sk2),
inference(forward_demodulation,[],[f354,f190]) ).
fof(f354,plain,
sk4 = app(nil,sk4),
inference(resolution,[],[f74,f189]) ).
fof(f355,plain,
sk1 = app(nil,sk1),
inference(forward_demodulation,[],[f353,f191]) ).
fof(f353,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f188]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f318,plain,
sk2 = app(sk2,nil),
inference(resolution,[],[f73,f187]) ).
fof(f317,plain,
sk1 = app(sk1,nil),
inference(resolution,[],[f73,f186]) ).
fof(f322,plain,
sk2 = app(sk2,nil),
inference(forward_demodulation,[],[f320,f190]) ).
fof(f320,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f189]) ).
fof(f321,plain,
sk1 = app(sk1,nil),
inference(forward_demodulation,[],[f319,f191]) ).
fof(f319,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f188]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f70,axiom,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f69,axiom,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f68,axiom,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f65,axiom,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f64,axiom,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f245,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f236,f199,f237,f201,f238,f203,f205,f239,f11,f1,f2,f5,f6,f7,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f206,f240,f207,f241,f208,f242,f82,f80,f84,f76,f78,f77,f75,f109,f104,f235,f234,f110,f105,f107,f114,f106,f103,f108,f102,f157,f211,f212,f243,f213,f244,f169,f149,f233,f131,f168,f132,f100,f118,f119,f123,f133,f232,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f216,f217,f231]) ).
fof(f235,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f209]) ).
fof(f209,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f117]) ).
fof(f117,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f63,axiom,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f62,axiom,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f58,axiom,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f55,axiom,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f242,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f236,f199,f237,f201,f238,f203,f205,f239,f11,f1,f2,f5,f6,f7,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f206,f240,f207,f241,f208]) ).
fof(f241,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f236,f199,f237,f201,f238,f203,f205,f239,f11,f1,f2,f5,f6,f7,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f206,f240,f207]) ).
fof(f240,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f236,f199,f237,f201,f238,f203,f205,f239,f11,f1,f2,f5,f6,f7,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f206]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f229,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f228,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f227,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f226,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f225,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2 ),
inference(equality_resolution,[],[f180]) ).
fof(f180,axiom,
! [X2,X3,X0,X1,X4] :
( ~ equalelemsP(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2
| app(X0,cons(X1,cons(X2,X3))) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f177,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f230,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(duplicate_literal_removal,[],[f223]) ).
fof(f223,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X2 != X3
| ~ frontsegP(X0,X1)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,axiom,
! [X2,X3,X0,X1,X4] :
( ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f154,axiom,
! [X2,X0,X1] :
( ~ frontsegP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ rearsegP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ segmentP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f155,axiom,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ geq(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ gt(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f159,axiom,
! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f160,axiom,
! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f127,axiom,
! [X0,X1] :
( ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f231,plain,
( ~ ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f219,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil != X0
| nil = app(X0,nil) ),
inference(equality_resolution,[],[f145]) ).
fof(f145,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != X1
| nil != X0
| nil = app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f150,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f137,axiom,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f136,axiom,
! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f135,axiom,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0)
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f134,axiom,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0)
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f141,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f140,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f121,axiom,
! [X0,X1] :
( lt(X0,X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f126,axiom,
! [X0,X1] :
( ~ geq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f139,axiom,
! [X2,X0,X1] :
( memberP(cons(X2,X0),X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f168,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f169,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f244,plain,
! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f236,f199,f237,f201,f238,f203,f205,f239,f11,f1,f2,f5,f6,f7,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f206,f240,f207,f241,f208,f242,f82,f80,f84,f76,f78,f77,f75,f109,f104,f235,f234,f110,f105,f107,f114,f106,f103,f108,f102,f157,f211,f212,f243,f213]) ).
fof(f213,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssList(nil)
| totalorderedP(cons(X1,nil)) ),
inference(equality_resolution,[],[f113]) ).
fof(f113,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| totalorderedP(cons(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f243,plain,
! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f236,f199,f237,f201,f238,f203,f205,f239,f11,f1,f2,f5,f6,f7,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f206,f240,f207,f241,f208,f242,f82,f80,f84,f76,f78,f77,f75,f109,f104,f235,f234,f110,f105,f107,f114,f106,f103,f108,f102,f157,f211,f212]) ).
fof(f212,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssList(nil)
| strictorderedP(cons(X1,nil)) ),
inference(equality_resolution,[],[f112]) ).
fof(f112,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| strictorderedP(cons(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f157,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f234,plain,
! [X1] :
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f210,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(equality_resolution,[],[f111]) ).
fof(f111,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f77,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f208,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_resolution,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| frontsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f207,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f206,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_resolution,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| rearsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f163,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f164,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f167,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f166,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f165,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
fof(f162,axiom,
! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f142,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f239,plain,
neq(sk2,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f236,f199,f237,f201,f238,f203,f205]) ).
fof(f205,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ neq(nil,sk4)
| sk3 = cons(hd(sk4),nil)
| neq(sk2,nil) ),
inference(equality_resolution,[],[f204]) ).
fof(f204,plain,
! [X6] :
( ~ ssItem(hd(sk4))
| ~ ssList(X6)
| ~ neq(nil,sk4)
| sk3 = X6
| neq(sk2,nil)
| cons(hd(sk4),nil) != X6 ),
inference(equality_resolution,[],[f194]) ).
fof(f194,axiom,
! [X6,X7] :
( ~ ssItem(X7)
| ~ ssList(X6)
| ~ neq(nil,sk4)
| sk3 = X6
| neq(sk2,nil)
| hd(sk4) != X7
| cons(X7,nil) != X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f238,plain,
neq(sk2,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f236,f199,f237,f201]) ).
fof(f201,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(sk1)
| ~ neq(nil,sk2)
| neq(sk2,nil)
| sk1 != cons(hd(sk2),nil) ),
inference(equality_resolution,[],[f200]) ).
fof(f200,plain,
! [X7] :
( ~ ssItem(X7)
| ~ ssList(sk1)
| ~ neq(nil,sk2)
| neq(sk2,nil)
| hd(sk2) != X7
| sk1 != cons(X7,nil) ),
inference(equality_resolution,[],[f195]) ).
fof(f195,axiom,
! [X6,X7] :
( ~ ssItem(X7)
| ~ ssList(X6)
| sk1 != X6
| ~ neq(nil,sk2)
| neq(sk2,nil)
| hd(sk2) != X7
| cons(X7,nil) != X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f237,plain,
( ~ ssItem(hd(sk2))
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk1 != cons(hd(sk2),nil) ),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f236,f199]) ).
fof(f199,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(sk1)
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk1 != cons(hd(sk2),nil) ),
inference(equality_resolution,[],[f198]) ).
fof(f198,plain,
! [X7] :
( ~ ssItem(X7)
| ~ ssList(sk1)
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| hd(sk2) != X7
| sk1 != cons(X7,nil) ),
inference(equality_resolution,[],[f197]) ).
fof(f197,axiom,
! [X6,X7] :
( ~ ssItem(X7)
| ~ ssList(X6)
| sk1 != X6
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| hd(sk2) != X7
| cons(X7,nil) != X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f193,axiom,
( ~ neq(sk4,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f1123,plain,
( ~ ssItem(hd(nil))
| spl0_4
| spl0_5 ),
inference(superposition,[],[f1100,f1105]) ).
fof(f1125,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f1124]) ).
fof(f1124,plain,
( $false
| spl0_4 ),
inference(global_subsumption,[],[f193,f199,f237,f201,f238,f203,f205,f239,f120,f142,f162,f165,f166,f167,f164,f163,f206,f207,f208,f78,f77,f109,f104,f234,f157,f212,f243,f213,f244,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f216,f217,f231,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f220,f158,f172,f221,f152,f153,f154,f222,f230,f177,f224,f225,f226,f227,f228,f229,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f240,f241,f242,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f233,f235,f245,f64,f65,f66,f67,f68,f69,f70,f72,f73,f321,f322,f317,f318,f74,f355,f356,f351,f352,f75,f357,f358,f290,f291,f292,f293,f294,f295,f296,f297,f298,f299,f300,f76,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f80,f82,f84,f85,f375,f376,f86,f426,f427,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f232,f311,f312,f313,f314,f315,f316,f96,f496,f497,f498,f499,f500,f501,f502,f503,f504,f505,f506,f489,f529,f530,f531,f532,f533,f534,f535,f536,f537,f542,f543,f538,f539,f507,f490,f572,f573,f574,f575,f576,f577,f578,f579,f580,f585,f586,f581,f582,f97,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f550,f591,f639,f640,f641,f646,f647,f642,f643,f611,f612,f613,f614,f615,f100,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f101,f627,f628,f629,f630,f631,f632,f592,f704,f705,f706,f711,f712,f707,f708,f102,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f103,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f105,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f106,f519,f520,f521,f522,f523,f524,f525,f526,f527,f528,f551,f107,f791,f793,f795,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f562,f108,f825,f827,f563,f564,f565,f566,f567,f568,f569,f570,f571,f633,f634,f110,f849,f635,f636,f637,f638,f698,f699,f700,f701,f702,f703,f345,f114,f346,f347,f348,f349,f350,f491,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f901,f902,f907,f908,f903,f904,f872,f211,f916,f492,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f952,f953,f948,f949,f917,f493,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f995,f996,f991,f992,f960,f494,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1040,f1041,f1036,f1037,f1005,f495,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1083,f1084,f1079,f1080,f1002,f1096,f1102,f1105,f1109,f1121,f1122]) ).
fof(f1101,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1002,f1098,f1094,f1090]) ).
fof(f254,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f72,f252,f249]) ).
fof(f249,plain,
( spl0_1
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f252,plain,
( spl0_2
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC013-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 03:02:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (25285)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (25287)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (25291)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.37 % (25288)WARNING: value z3 for option sas not known
% 0.21/0.37 % (25286)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (25289)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (25288)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37 % (25290)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.37 % (25292)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.40 TRYING [3]
% 0.21/0.43 TRYING [1]
% 0.21/0.43 TRYING [2]
% 0.21/0.45 TRYING [4]
% 0.21/0.49 % (25288)First to succeed.
% 0.21/0.50 % (25290)Also succeeded, but the first one will report.
% 0.21/0.50 % (25288)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25285"
% 0.21/0.50 % (25288)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (25288)------------------------------
% 0.21/0.51 % (25288)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.51 % (25288)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (25288)Memory used [KB]: 2813
% 0.21/0.51 % (25288)Time elapsed: 0.132 s
% 0.21/0.51 % (25288)Instructions burned: 271 (million)
% 0.21/0.51 % (25285)Success in time 0.155 s
%------------------------------------------------------------------------------