TSTP Solution File: SWC382-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC382-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 : Sun May 5 10:25:46 EDT 2024
% Result : Unsatisfiable 2.59s 0.75s
% Output : Refutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 228
% Syntax : Number of formulae : 918 ( 373 unt; 0 def)
% Number of atoms : 2229 ( 728 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2401 (1090 ~;1280 |; 0 &)
% ( 31 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 52 ( 50 usr; 32 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 7 con; 0-2 aty)
% Number of variables : 1041 (1041 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8510,plain,
$false,
inference(avatar_sat_refutation,[],[f249,f294,f1057,f1073,f1077,f1135,f1381,f1397,f1401,f1422,f1532,f1565,f1596,f1608,f1618,f1622,f1674,f1676,f1727,f1761,f1765,f3830,f3837,f3841,f3893,f3896,f3903,f3932,f3933,f3956,f3958,f8504,f8509]) ).
fof(f8509,plain,
( spl0_3
| spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_29
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f8508]) ).
fof(f8508,plain,
( $false
| spl0_3
| spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_29
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f8507,f187]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f8507,plain,
( ~ ssList(sk2)
| spl0_3
| spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_demodulation,[],[f8506,f5715]) ).
fof(f5715,plain,
( sk2 = app(sk1,tl(sk2))
| spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_29
| ~ spl0_31 ),
inference(superposition,[],[f5217,f5706]) ).
fof(f5706,plain,
( tl(sk2) = skaf45(sk2,sk1)
| spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_29
| ~ spl0_31 ),
inference(superposition,[],[f4680,f5217]) ).
fof(f4680,plain,
( ! [X0,X1] : skaf45(X0,X1) = tl(app(sk1,skaf45(X0,X1)))
| spl0_6
| ~ spl0_11
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_demodulation,[],[f4640,f354]) ).
fof(f354,plain,
! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
inference(resolution,[],[f74,f51]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f4640,plain,
( ! [X0,X1] : app(nil,skaf45(X0,X1)) = tl(app(sk1,skaf45(X0,X1)))
| spl0_6
| ~ spl0_11
| ~ spl0_29
| ~ spl0_31 ),
inference(resolution,[],[f4100,f51]) ).
fof(f4100,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = tl(app(sk1,X0)) )
| spl0_6
| ~ spl0_11
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_demodulation,[],[f4099,f3829]) ).
fof(f3829,plain,
( sk1 = cons(hd(sk2),nil)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f3827]) ).
fof(f3827,plain,
( spl0_31
<=> sk1 = cons(hd(sk2),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f4099,plain,
( ! [X0] :
( app(nil,X0) = tl(app(cons(hd(sk2),nil),X0))
| ~ ssList(X0) )
| spl0_6
| ~ spl0_11
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_demodulation,[],[f4098,f1442]) ).
fof(f1442,plain,
( nil = tl(cons(hd(sk2),nil))
| ~ spl0_11 ),
inference(resolution,[],[f1441,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f1441,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(hd(sk2),X0)) = X0 )
| ~ spl0_11 ),
inference(resolution,[],[f1391,f96]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f1391,plain,
( ssItem(hd(sk2))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f1390]) ).
fof(f1390,plain,
( spl0_11
<=> ssItem(hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f4098,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(cons(hd(sk2),nil),X0)) = app(tl(cons(hd(sk2),nil)),X0) )
| spl0_6
| ~ spl0_29
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f4097,f1055]) ).
fof(f1055,plain,
( nil != sk1
| spl0_6 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1054,plain,
( spl0_6
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f4097,plain,
( ! [X0] :
( nil = sk1
| ~ ssList(X0)
| tl(app(cons(hd(sk2),nil),X0)) = app(tl(cons(hd(sk2),nil)),X0) )
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_demodulation,[],[f4087,f3829]) ).
fof(f4087,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = cons(hd(sk2),nil)
| tl(app(cons(hd(sk2),nil),X0)) = app(tl(cons(hd(sk2),nil)),X0) )
| ~ spl0_29 ),
inference(resolution,[],[f133,f3820]) ).
fof(f3820,plain,
( ssList(cons(hd(sk2),nil))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f3819]) ).
fof(f3819,plain,
( spl0_29
<=> ssList(cons(hd(sk2),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f5217,plain,
( sk2 = app(sk1,skaf45(sk2,sk1))
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f5216,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f5216,plain,
( ~ ssList(sk1)
| sk2 = app(sk1,skaf45(sk2,sk1))
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f5212,f187]) ).
fof(f5212,plain,
( ~ ssList(sk2)
| ~ ssList(sk1)
| sk2 = app(sk1,skaf45(sk2,sk1))
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_31 ),
inference(resolution,[],[f5202,f132]) ).
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(f5202,plain,
( frontsegP(sk2,sk1)
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f5196,f1755]) ).
fof(f1755,plain,
( ssList(tl(sk2))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f1754]) ).
fof(f1754,plain,
( spl0_27
<=> ssList(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f5196,plain,
( frontsegP(sk2,sk1)
| ~ ssList(tl(sk2))
| ~ spl0_9
| ~ spl0_11
| ~ spl0_31 ),
inference(superposition,[],[f5176,f3988]) ).
fof(f3988,plain,
( sk2 = cons(hd(sk1),tl(sk2))
| ~ spl0_9
| ~ spl0_11
| ~ spl0_31 ),
inference(superposition,[],[f1376,f3870]) ).
fof(f3870,plain,
( hd(sk2) = hd(sk1)
| ~ spl0_11
| ~ spl0_31 ),
inference(superposition,[],[f1952,f3829]) ).
fof(f1952,plain,
( hd(sk2) = hd(cons(hd(sk2),nil))
| ~ spl0_11 ),
inference(resolution,[],[f1440,f8]) ).
fof(f1440,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(sk2) = hd(cons(hd(sk2),X0)) )
| ~ spl0_11 ),
inference(resolution,[],[f1391,f97]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f1376,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f1374,plain,
( spl0_9
<=> sk2 = cons(hd(sk2),tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f5176,plain,
( ! [X0] :
( frontsegP(cons(hd(sk1),X0),sk1)
| ~ ssList(X0) )
| ~ spl0_11
| ~ spl0_31 ),
inference(forward_demodulation,[],[f5175,f3870]) ).
fof(f5175,plain,
( ! [X0] :
( frontsegP(cons(hd(sk2),X0),sk1)
| ~ ssList(X0) )
| ~ spl0_11
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f5174,f60]) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f5174,plain,
( ! [X0] :
( frontsegP(cons(hd(sk2),X0),sk1)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) )
| ~ spl0_11
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f5173,f1391]) ).
fof(f5173,plain,
( ! [X0] :
( frontsegP(cons(hd(sk2),X0),sk1)
| ~ ssList(X0)
| ~ frontsegP(X0,nil)
| ~ ssItem(hd(sk2)) )
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f5130,f8]) ).
fof(f5130,plain,
( ! [X0] :
( frontsegP(cons(hd(sk2),X0),sk1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(X0,nil)
| ~ ssItem(hd(sk2)) )
| ~ spl0_31 ),
inference(superposition,[],[f226,f3829]) ).
fof(f226,plain,
! [X3,X0,X1] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ ssItem(X3) ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f219,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(f8506,plain,
( ~ ssList(app(sk1,tl(sk2)))
| spl0_3
| spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_29
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f8505,f1755]) ).
fof(f8505,plain,
( ~ ssList(app(sk1,tl(sk2)))
| ~ ssList(tl(sk2))
| spl0_3
| spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_29
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f8489,f289]) ).
fof(f289,plain,
( ~ segmentP(sk2,sk1)
| spl0_3 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl0_3
<=> segmentP(sk2,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f8489,plain,
( segmentP(sk2,sk1)
| ~ ssList(app(sk1,tl(sk2)))
| ~ ssList(tl(sk2))
| spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_29
| ~ spl0_31 ),
inference(superposition,[],[f8097,f5715]) ).
fof(f8097,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(sk1,X0))
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f8096,f357]) ).
fof(f357,plain,
sk1 = app(nil,sk1),
inference(resolution,[],[f74,f186]) ).
fof(f8096,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f8095,f8]) ).
fof(f8095,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f7880,f186]) ).
fof(f7880,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(sk1)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f217,f357]) ).
fof(f217,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
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(f8504,plain,
( spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f8503]) ).
fof(f8503,plain,
( $false
| spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f8502,f187]) ).
fof(f8502,plain,
( ~ ssList(sk2)
| spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_31 ),
inference(forward_demodulation,[],[f8501,f5217]) ).
fof(f8501,plain,
( ~ ssList(app(sk1,skaf45(sk2,sk1)))
| spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f8500,f51]) ).
fof(f8500,plain,
( ~ ssList(app(sk1,skaf45(sk2,sk1)))
| ~ ssList(skaf45(sk2,sk1))
| spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f8488,f289]) ).
fof(f8488,plain,
( segmentP(sk2,sk1)
| ~ ssList(app(sk1,skaf45(sk2,sk1)))
| ~ ssList(skaf45(sk2,sk1))
| ~ spl0_9
| ~ spl0_11
| ~ spl0_27
| ~ spl0_31 ),
inference(superposition,[],[f8097,f5217]) ).
fof(f3958,plain,
( ~ spl0_13
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f3957]) ).
fof(f3957,plain,
( $false
| ~ spl0_13
| spl0_14 ),
inference(subsumption_resolution,[],[f3938,f3]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f3938,plain,
( ~ strictorderedP(nil)
| ~ spl0_13
| spl0_14 ),
inference(superposition,[],[f1526,f1523]) ).
fof(f1523,plain,
( nil = skaf82(sk1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f1521]) ).
fof(f1521,plain,
( spl0_13
<=> nil = skaf82(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1526,plain,
( ~ strictorderedP(skaf82(sk1))
| spl0_14 ),
inference(avatar_component_clause,[],[f1525]) ).
fof(f1525,plain,
( spl0_14
<=> strictorderedP(skaf82(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f3956,plain,
( ~ spl0_13
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f3955]) ).
fof(f3955,plain,
( $false
| ~ spl0_13
| spl0_16 ),
inference(subsumption_resolution,[],[f3937,f4]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f3937,plain,
( ~ totalorderedP(nil)
| ~ spl0_13
| spl0_16 ),
inference(superposition,[],[f1559,f1523]) ).
fof(f1559,plain,
( ~ totalorderedP(skaf82(sk1))
| spl0_16 ),
inference(avatar_component_clause,[],[f1558]) ).
fof(f1558,plain,
( spl0_16
<=> totalorderedP(skaf82(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f3933,plain,
( spl0_17
| ~ spl0_11
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f3919,f3827,f1390,f1562]) ).
fof(f1562,plain,
( spl0_17
<=> totalorderedP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f3919,plain,
( totalorderedP(sk1)
| ~ spl0_11
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f3875,f1391]) ).
fof(f3875,plain,
( totalorderedP(sk1)
| ~ ssItem(hd(sk2))
| ~ spl0_31 ),
inference(superposition,[],[f67,f3829]) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f3932,plain,
( spl0_15
| ~ spl0_11
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f3908,f3827,f1390,f1529]) ).
fof(f1529,plain,
( spl0_15
<=> strictorderedP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f3908,plain,
( strictorderedP(sk1)
| ~ spl0_11
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f3874,f1391]) ).
fof(f3874,plain,
( strictorderedP(sk1)
| ~ ssItem(hd(sk2))
| ~ spl0_31 ),
inference(superposition,[],[f66,f3829]) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f3903,plain,
( spl0_4
| ~ spl0_11
| ~ spl0_29
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f3902]) ).
fof(f3902,plain,
( $false
| spl0_4
| ~ spl0_11
| ~ spl0_29
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f3901,f1391]) ).
fof(f3901,plain,
( ~ ssItem(hd(sk2))
| spl0_4
| ~ spl0_29
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f3900,f3820]) ).
fof(f3900,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| spl0_4
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f3879,f293]) ).
fof(f293,plain,
( ~ singletonP(sk1)
| spl0_4 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl0_4
<=> singletonP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f3879,plain,
( singletonP(sk1)
| ~ ssList(cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| ~ spl0_31 ),
inference(superposition,[],[f207,f3829]) ).
fof(f207,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(f3896,plain,
( ~ spl0_11
| spl0_17
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f3895]) ).
fof(f3895,plain,
( $false
| ~ spl0_11
| spl0_17
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f3894,f1391]) ).
fof(f3894,plain,
( ~ ssItem(hd(sk2))
| spl0_17
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f3875,f1564]) ).
fof(f1564,plain,
( ~ totalorderedP(sk1)
| spl0_17 ),
inference(avatar_component_clause,[],[f1562]) ).
fof(f3893,plain,
( ~ spl0_11
| spl0_15
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f3892]) ).
fof(f3892,plain,
( $false
| ~ spl0_11
| spl0_15
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f3891,f1391]) ).
fof(f3891,plain,
( ~ ssItem(hd(sk2))
| spl0_15
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f3874,f1531]) ).
fof(f1531,plain,
( ~ strictorderedP(sk1)
| spl0_15 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f3841,plain,
( ~ spl0_11
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f3840]) ).
fof(f3840,plain,
( $false
| ~ spl0_11
| spl0_29 ),
inference(subsumption_resolution,[],[f3839,f1391]) ).
fof(f3839,plain,
( ~ ssItem(hd(sk2))
| spl0_29 ),
inference(subsumption_resolution,[],[f3838,f8]) ).
fof(f3838,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk2))
| spl0_29 ),
inference(resolution,[],[f3821,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f3821,plain,
( ~ ssList(cons(hd(sk2),nil))
| spl0_29 ),
inference(avatar_component_clause,[],[f3819]) ).
fof(f3837,plain,
( spl0_10
| spl0_30 ),
inference(avatar_contradiction_clause,[],[f3836]) ).
fof(f3836,plain,
( $false
| spl0_10
| spl0_30 ),
inference(subsumption_resolution,[],[f3835,f8]) ).
fof(f3835,plain,
( ~ ssList(nil)
| spl0_10
| spl0_30 ),
inference(subsumption_resolution,[],[f3834,f1379]) ).
fof(f1379,plain,
( nil != sk2
| spl0_10 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f1378,plain,
( spl0_10
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f3834,plain,
( nil = sk2
| ~ ssList(nil)
| spl0_30 ),
inference(subsumption_resolution,[],[f3832,f187]) ).
fof(f3832,plain,
( ~ ssList(sk2)
| nil = sk2
| ~ ssList(nil)
| spl0_30 ),
inference(resolution,[],[f3825,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f3825,plain,
( ~ neq(nil,sk2)
| spl0_30 ),
inference(avatar_component_clause,[],[f3823]) ).
fof(f3823,plain,
( spl0_30
<=> neq(nil,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f3830,plain,
( ~ spl0_29
| ~ spl0_30
| spl0_31
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f3766,f1390,f3827,f3823,f3819]) ).
fof(f3766,plain,
( sk1 = cons(hd(sk2),nil)
| ~ neq(nil,sk2)
| ~ ssList(cons(hd(sk2),nil))
| ~ spl0_11 ),
inference(forward_demodulation,[],[f3765,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f3765,plain,
( sk3 = cons(hd(sk2),nil)
| ~ neq(nil,sk2)
| ~ ssList(cons(hd(sk2),nil))
| ~ spl0_11 ),
inference(forward_demodulation,[],[f3764,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f3764,plain,
( ~ neq(nil,sk2)
| ~ ssList(cons(hd(sk2),nil))
| sk3 = cons(hd(sk4),nil)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f3763,f190]) ).
fof(f3763,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ neq(nil,sk4)
| sk3 = cons(hd(sk4),nil)
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f3762,f232]) ).
fof(f232,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(f3762,plain,
( ~ neq(sk2,nil)
| ~ ssList(cons(hd(sk2),nil))
| ~ neq(nil,sk4)
| sk3 = cons(hd(sk4),nil)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f3761,f190]) ).
fof(f3761,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = cons(hd(sk4),nil)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f3760,f190]) ).
fof(f3760,plain,
( ~ ssList(cons(hd(sk4),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = cons(hd(sk4),nil)
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f3759,f1391]) ).
fof(f3759,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(cons(hd(sk4),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = cons(hd(sk4),nil) ),
inference(forward_demodulation,[],[f199,f190]) ).
fof(f199,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = cons(hd(sk4),nil) ),
inference(equality_resolution,[],[f198]) ).
fof(f198,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(f1765,plain,
( spl0_10
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f1764]) ).
fof(f1764,plain,
( $false
| spl0_10
| spl0_27 ),
inference(subsumption_resolution,[],[f1763,f187]) ).
fof(f1763,plain,
( ~ ssList(sk2)
| spl0_10
| spl0_27 ),
inference(subsumption_resolution,[],[f1762,f1379]) ).
fof(f1762,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_27 ),
inference(resolution,[],[f1756,f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f1756,plain,
( ~ ssList(tl(sk2))
| spl0_27 ),
inference(avatar_component_clause,[],[f1754]) ).
fof(f1761,plain,
( ~ spl0_27
| spl0_28
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1752,f1390,f1374,f1758,f1754]) ).
fof(f1758,plain,
( spl0_28
<=> memberP(sk2,hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1752,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1382,f1391]) ).
fof(f1382,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| ~ spl0_9 ),
inference(superposition,[],[f228,f1376]) ).
fof(f228,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f211]) ).
fof(f211,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(f1727,plain,
( spl0_25
| ~ spl0_26
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1718,f287,f1724,f1720]) ).
fof(f1720,plain,
( spl0_25
<=> sk1 = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1724,plain,
( spl0_26
<=> segmentP(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1718,plain,
( ~ segmentP(sk1,sk2)
| sk1 = sk2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f1717,f187]) ).
fof(f1717,plain,
( ~ ssList(sk2)
| ~ segmentP(sk1,sk2)
| sk1 = sk2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f1713,f186]) ).
fof(f1713,plain,
( ~ ssList(sk1)
| ~ ssList(sk2)
| ~ segmentP(sk1,sk2)
| sk1 = sk2
| ~ spl0_3 ),
inference(resolution,[],[f127,f288]) ).
fof(f288,plain,
( segmentP(sk2,sk1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f287]) ).
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(f1676,plain,
( ~ spl0_6
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1675]) ).
fof(f1675,plain,
( $false
| ~ spl0_6
| spl0_17 ),
inference(subsumption_resolution,[],[f1671,f4]) ).
fof(f1671,plain,
( ~ totalorderedP(nil)
| ~ spl0_6
| spl0_17 ),
inference(superposition,[],[f1564,f1056]) ).
fof(f1056,plain,
( nil = sk1
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1674,plain,
( ~ spl0_6
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f1673]) ).
fof(f1673,plain,
( $false
| ~ spl0_6
| spl0_15 ),
inference(subsumption_resolution,[],[f1669,f3]) ).
fof(f1669,plain,
( ~ strictorderedP(nil)
| ~ spl0_6
| spl0_15 ),
inference(superposition,[],[f1531,f1056]) ).
fof(f1622,plain,
( spl0_6
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f1621]) ).
fof(f1621,plain,
( $false
| spl0_6
| spl0_23 ),
inference(subsumption_resolution,[],[f1620,f186]) ).
fof(f1620,plain,
( ~ ssList(sk1)
| spl0_6
| spl0_23 ),
inference(subsumption_resolution,[],[f1619,f1055]) ).
fof(f1619,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_23 ),
inference(resolution,[],[f1613,f75]) ).
fof(f1613,plain,
( ~ ssList(tl(sk1))
| spl0_23 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f1611,plain,
( spl0_23
<=> ssList(tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1618,plain,
( ~ spl0_23
| spl0_24
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1609,f1066,f1050,f1615,f1611]) ).
fof(f1615,plain,
( spl0_24
<=> memberP(sk1,hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1050,plain,
( spl0_5
<=> sk1 = cons(hd(sk1),tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1066,plain,
( spl0_7
<=> ssItem(hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1609,plain,
( memberP(sk1,hd(sk1))
| ~ ssList(tl(sk1))
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1058,f1067]) ).
fof(f1067,plain,
( ssItem(hd(sk1))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1058,plain,
( memberP(sk1,hd(sk1))
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| ~ spl0_5 ),
inference(superposition,[],[f228,f1052]) ).
fof(f1052,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1608,plain,
( spl0_21
| ~ spl0_22
| spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f1599,f1585,f1378,f1605,f1601]) ).
fof(f1601,plain,
( spl0_21
<=> totalorderedP(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1605,plain,
( spl0_22
<=> totalorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1585,plain,
( spl0_18
<=> nil = skaf82(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1599,plain,
( ~ totalorderedP(sk2)
| totalorderedP(skaf82(sk2))
| spl0_10
| spl0_18 ),
inference(subsumption_resolution,[],[f1581,f1586]) ).
fof(f1586,plain,
( nil != skaf82(sk2)
| spl0_18 ),
inference(avatar_component_clause,[],[f1585]) ).
fof(f1581,plain,
( ~ totalorderedP(sk2)
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| spl0_10 ),
inference(subsumption_resolution,[],[f1580,f12]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f1580,plain,
( ~ totalorderedP(sk2)
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_10 ),
inference(subsumption_resolution,[],[f1573,f13]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f1573,plain,
( ~ totalorderedP(sk2)
| ~ ssList(skaf82(sk2))
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_10 ),
inference(superposition,[],[f125,f1568]) ).
fof(f1568,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| spl0_10 ),
inference(subsumption_resolution,[],[f1126,f1379]) ).
fof(f1126,plain,
( nil = sk2
| sk2 = cons(skaf83(sk2),skaf82(sk2)) ),
inference(resolution,[],[f109,f187]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
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(f1596,plain,
( spl0_18
| spl0_19
| ~ spl0_20
| spl0_10 ),
inference(avatar_split_clause,[],[f1579,f1378,f1593,f1589,f1585]) ).
fof(f1589,plain,
( spl0_19
<=> strictorderedP(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1593,plain,
( spl0_20
<=> strictorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1579,plain,
( ~ strictorderedP(sk2)
| strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| spl0_10 ),
inference(subsumption_resolution,[],[f1578,f12]) ).
fof(f1578,plain,
( ~ strictorderedP(sk2)
| strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_10 ),
inference(subsumption_resolution,[],[f1572,f13]) ).
fof(f1572,plain,
( ~ strictorderedP(sk2)
| ~ ssList(skaf82(sk2))
| strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_10 ),
inference(superposition,[],[f124,f1568]) ).
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(f1565,plain,
( spl0_16
| ~ spl0_17
| spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f1556,f1521,f1054,f1562,f1558]) ).
fof(f1556,plain,
( ~ totalorderedP(sk1)
| totalorderedP(skaf82(sk1))
| spl0_6
| spl0_13 ),
inference(subsumption_resolution,[],[f1555,f12]) ).
fof(f1555,plain,
( ~ totalorderedP(sk1)
| totalorderedP(skaf82(sk1))
| ~ ssItem(skaf83(sk1))
| spl0_6
| spl0_13 ),
inference(subsumption_resolution,[],[f1554,f1522]) ).
fof(f1522,plain,
( nil != skaf82(sk1)
| spl0_13 ),
inference(avatar_component_clause,[],[f1521]) ).
fof(f1554,plain,
( ~ totalorderedP(sk1)
| totalorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_6 ),
inference(subsumption_resolution,[],[f1550,f13]) ).
fof(f1550,plain,
( ~ totalorderedP(sk1)
| ~ ssList(skaf82(sk1))
| totalorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_6 ),
inference(superposition,[],[f125,f1137]) ).
fof(f1137,plain,
( sk1 = cons(skaf83(sk1),skaf82(sk1))
| spl0_6 ),
inference(global_subsumption,[],[f193,f197,f195,f233,f199,f201,f234,f120,f142,f162,f165,f166,f167,f164,f163,f202,f203,f204,f78,f77,f230,f157,f208,f238,f209,f239,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f212,f213,f227,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f216,f158,f172,f217,f153,f152,f154,f218,f226,f177,f220,f221,f222,f223,f224,f225,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f232,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,f235,f236,f237,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f229,f231,f240,f64,f65,f66,f67,f68,f69,f70,f72,f285,f73,f327,f328,f323,f324,f74,f361,f362,f75,f363,f364,f357,f358,f296,f297,f298,f299,f300,f301,f302,f76,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f330,f331,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f347,f348,f80,f349,f350,f82,f84,f85,f381,f382,f86,f432,f433,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f228,f317,f318,f96,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f503,f504,f487,f527,f528,f529,f530,f531,f532,f533,f534,f535,f540,f541,f536,f537,f505,f488,f570,f571,f572,f573,f574,f575,f576,f577,f578,f583,f584,f579,f580,f97,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f548,f589,f637,f638,f639,f644,f645,f640,f641,f609,f610,f611,f612,f613,f100,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f101,f625,f626,f627,f628,f629,f630,f590,f702,f703,f704,f709,f710,f705,f706,f102,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f103,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f105,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f106,f517,f518,f519,f520,f521,f522,f523,f524,f525,f526,f549,f107,f789,f791,f793,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f108,f823,f825,f561,f562,f563,f564,f565,f566,f567,f568,f569,f631,f632,f110,f847,f633,f634,f635,f636,f696,f697,f698,f699,f700,f701,f319,f114,f320,f321,f322,f351,f352,f353,f354,f355,f356,f489,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f913,f914,f909,f207,f918,f910,f878,f490,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f958,f959,f954,f955,f923,f491,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f1001,f1002,f104,f1004,f1005,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,f1038,f1032,f1033,f1035,f1040,f1042,f997,f998,f966,f1034,f1055,f109,f1095,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1110,f1111,f1112,f1113,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1129,f1123,f1124,f1126,f1132,f1136]) ).
fof(f1136,plain,
( sk1 = cons(skaf83(sk1),skaf82(sk1))
| nil = sk1 ),
inference(forward_demodulation,[],[f1130,f191]) ).
fof(f1130,plain,
( nil = sk1
| sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
inference(forward_demodulation,[],[f1127,f191]) ).
fof(f1127,plain,
( nil = sk3
| sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
inference(resolution,[],[f109,f188]) ).
fof(f1132,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| nil = sk2 ),
inference(forward_demodulation,[],[f1131,f190]) ).
fof(f1131,plain,
( nil = sk2
| sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
inference(forward_demodulation,[],[f1128,f190]) ).
fof(f1128,plain,
( nil = sk4
| sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
inference(resolution,[],[f109,f189]) ).
fof(f1124,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(skaf83(tl(X0)),skaf82(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f109,f75]) ).
fof(f1123,plain,
! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(skaf83(app(X0,X1)),skaf82(app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f109,f85]) ).
fof(f1129,plain,
! [X0,X1] :
( cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f1122,f98]) ).
fof(f1122,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f109,f86]) ).
fof(f1121,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(skaf83(skaf42(X0,X1)),skaf82(skaf42(X0,X1))) ),
inference(resolution,[],[f109,f53]) ).
fof(f1120,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(skaf83(skaf43(X0,X1)),skaf82(skaf43(X0,X1))) ),
inference(resolution,[],[f109,f52]) ).
fof(f1119,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(skaf83(skaf45(X0,X1)),skaf82(skaf45(X0,X1))) ),
inference(resolution,[],[f109,f51]) ).
fof(f1118,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(skaf83(skaf46(X0,X1)),skaf82(skaf46(X0,X1))) ),
inference(resolution,[],[f109,f50]) ).
fof(f1117,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(skaf83(skaf47(X0,X1)),skaf82(skaf47(X0,X1))) ),
inference(resolution,[],[f109,f49]) ).
fof(f1116,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(skaf83(skaf48(X0,X1)),skaf82(skaf48(X0,X1))) ),
inference(resolution,[],[f109,f48]) ).
fof(f1115,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(skaf83(skaf51(X0)),skaf82(skaf51(X0))) ),
inference(resolution,[],[f109,f44]) ).
fof(f1114,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(skaf83(skaf52(X0)),skaf82(skaf52(X0))) ),
inference(resolution,[],[f109,f43]) ).
fof(f1113,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(skaf83(skaf53(X0)),skaf82(skaf53(X0))) ),
inference(resolution,[],[f109,f42]) ).
fof(f1112,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(skaf83(skaf56(X0)),skaf82(skaf56(X0))) ),
inference(resolution,[],[f109,f39]) ).
fof(f1111,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(skaf83(skaf57(X0)),skaf82(skaf57(X0))) ),
inference(resolution,[],[f109,f38]) ).
fof(f1110,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(skaf83(skaf58(X0)),skaf82(skaf58(X0))) ),
inference(resolution,[],[f109,f37]) ).
fof(f1109,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(skaf83(skaf61(X0)),skaf82(skaf61(X0))) ),
inference(resolution,[],[f109,f34]) ).
fof(f1108,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(skaf83(skaf62(X0)),skaf82(skaf62(X0))) ),
inference(resolution,[],[f109,f33]) ).
fof(f1107,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(skaf83(skaf63(X0)),skaf82(skaf63(X0))) ),
inference(resolution,[],[f109,f32]) ).
fof(f1106,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(skaf83(skaf66(X0)),skaf82(skaf66(X0))) ),
inference(resolution,[],[f109,f29]) ).
fof(f1105,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(skaf83(skaf67(X0)),skaf82(skaf67(X0))) ),
inference(resolution,[],[f109,f28]) ).
fof(f1104,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(skaf83(skaf68(X0)),skaf82(skaf68(X0))) ),
inference(resolution,[],[f109,f27]) ).
fof(f1103,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(skaf83(skaf71(X0)),skaf82(skaf71(X0))) ),
inference(resolution,[],[f109,f24]) ).
fof(f1102,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(skaf83(skaf72(X0)),skaf82(skaf72(X0))) ),
inference(resolution,[],[f109,f23]) ).
fof(f1101,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(skaf83(skaf73(X0)),skaf82(skaf73(X0))) ),
inference(resolution,[],[f109,f22]) ).
fof(f1100,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(skaf83(skaf75(X0)),skaf82(skaf75(X0))) ),
inference(resolution,[],[f109,f20]) ).
fof(f1099,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(skaf83(skaf76(X0)),skaf82(skaf76(X0))) ),
inference(resolution,[],[f109,f19]) ).
fof(f1098,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(skaf83(skaf77(X0)),skaf82(skaf77(X0))) ),
inference(resolution,[],[f109,f18]) ).
fof(f1097,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(skaf83(skaf80(X0)),skaf82(skaf80(X0))) ),
inference(resolution,[],[f109,f15]) ).
fof(f1096,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(skaf83(skaf81(X0)),skaf82(skaf81(X0))) ),
inference(resolution,[],[f109,f14]) ).
fof(f1095,plain,
! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(skaf83(skaf82(X0)),skaf82(skaf82(X0))) ),
inference(resolution,[],[f109,f13]) ).
fof(f1034,plain,
( nil = sk1
| sk1 = cons(hd(sk1),tl(sk1)) ),
inference(resolution,[],[f104,f186]) ).
fof(f966,plain,
! [X0] : nil = tl(cons(skaf78(X0),nil)),
inference(resolution,[],[f491,f8]) ).
fof(f998,plain,
! [X0] : sk2 = tl(cons(skaf78(X0),sk2)),
inference(resolution,[],[f491,f187]) ).
fof(f997,plain,
! [X0] : sk1 = tl(cons(skaf78(X0),sk1)),
inference(resolution,[],[f491,f186]) ).
fof(f1042,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| nil = sk2 ),
inference(forward_demodulation,[],[f1041,f190]) ).
fof(f1041,plain,
( nil = sk2
| sk4 = cons(hd(sk4),tl(sk4)) ),
inference(forward_demodulation,[],[f1037,f190]) ).
fof(f1037,plain,
( nil = sk4
| sk4 = cons(hd(sk4),tl(sk4)) ),
inference(resolution,[],[f104,f189]) ).
fof(f1040,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| nil = sk1 ),
inference(forward_demodulation,[],[f1039,f191]) ).
fof(f1039,plain,
( nil = sk1
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(forward_demodulation,[],[f1036,f191]) ).
fof(f1036,plain,
( nil = sk3
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(resolution,[],[f104,f188]) ).
fof(f1035,plain,
( nil = sk2
| sk2 = cons(hd(sk2),tl(sk2)) ),
inference(resolution,[],[f104,f187]) ).
fof(f1033,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f104,f75]) ).
fof(f1032,plain,
! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(hd(app(X0,X1)),tl(app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f104,f85]) ).
fof(f1038,plain,
! [X0,X1] :
( cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f1031,f98]) ).
fof(f1031,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f104,f86]) ).
fof(f1030,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(hd(skaf42(X0,X1)),tl(skaf42(X0,X1))) ),
inference(resolution,[],[f104,f53]) ).
fof(f1029,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(hd(skaf43(X0,X1)),tl(skaf43(X0,X1))) ),
inference(resolution,[],[f104,f52]) ).
fof(f1028,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(hd(skaf45(X0,X1)),tl(skaf45(X0,X1))) ),
inference(resolution,[],[f104,f51]) ).
fof(f1027,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(hd(skaf46(X0,X1)),tl(skaf46(X0,X1))) ),
inference(resolution,[],[f104,f50]) ).
fof(f1026,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(hd(skaf47(X0,X1)),tl(skaf47(X0,X1))) ),
inference(resolution,[],[f104,f49]) ).
fof(f1025,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(hd(skaf48(X0,X1)),tl(skaf48(X0,X1))) ),
inference(resolution,[],[f104,f48]) ).
fof(f1024,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(hd(skaf51(X0)),tl(skaf51(X0))) ),
inference(resolution,[],[f104,f44]) ).
fof(f1023,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(hd(skaf52(X0)),tl(skaf52(X0))) ),
inference(resolution,[],[f104,f43]) ).
fof(f1022,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(hd(skaf53(X0)),tl(skaf53(X0))) ),
inference(resolution,[],[f104,f42]) ).
fof(f1021,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(hd(skaf56(X0)),tl(skaf56(X0))) ),
inference(resolution,[],[f104,f39]) ).
fof(f1020,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(hd(skaf57(X0)),tl(skaf57(X0))) ),
inference(resolution,[],[f104,f38]) ).
fof(f1019,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(hd(skaf58(X0)),tl(skaf58(X0))) ),
inference(resolution,[],[f104,f37]) ).
fof(f1018,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(hd(skaf61(X0)),tl(skaf61(X0))) ),
inference(resolution,[],[f104,f34]) ).
fof(f1017,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(hd(skaf62(X0)),tl(skaf62(X0))) ),
inference(resolution,[],[f104,f33]) ).
fof(f1016,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(hd(skaf63(X0)),tl(skaf63(X0))) ),
inference(resolution,[],[f104,f32]) ).
fof(f1015,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(hd(skaf66(X0)),tl(skaf66(X0))) ),
inference(resolution,[],[f104,f29]) ).
fof(f1014,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(hd(skaf67(X0)),tl(skaf67(X0))) ),
inference(resolution,[],[f104,f28]) ).
fof(f1013,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(hd(skaf68(X0)),tl(skaf68(X0))) ),
inference(resolution,[],[f104,f27]) ).
fof(f1012,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(hd(skaf71(X0)),tl(skaf71(X0))) ),
inference(resolution,[],[f104,f24]) ).
fof(f1011,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(hd(skaf72(X0)),tl(skaf72(X0))) ),
inference(resolution,[],[f104,f23]) ).
fof(f1010,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(hd(skaf73(X0)),tl(skaf73(X0))) ),
inference(resolution,[],[f104,f22]) ).
fof(f1009,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(hd(skaf75(X0)),tl(skaf75(X0))) ),
inference(resolution,[],[f104,f20]) ).
fof(f1008,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(hd(skaf76(X0)),tl(skaf76(X0))) ),
inference(resolution,[],[f104,f19]) ).
fof(f1007,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(hd(skaf77(X0)),tl(skaf77(X0))) ),
inference(resolution,[],[f104,f18]) ).
fof(f1006,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(hd(skaf80(X0)),tl(skaf80(X0))) ),
inference(resolution,[],[f104,f15]) ).
fof(f1005,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(hd(skaf81(X0)),tl(skaf81(X0))) ),
inference(resolution,[],[f104,f14]) ).
fof(f1004,plain,
! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(hd(skaf82(X0)),tl(skaf82(X0))) ),
inference(resolution,[],[f104,f13]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f1002,plain,
! [X0] : sk2 = tl(cons(skaf78(X0),sk2)),
inference(forward_demodulation,[],[f1000,f190]) ).
fof(f1000,plain,
! [X0] : sk4 = tl(cons(skaf78(X0),sk4)),
inference(resolution,[],[f491,f189]) ).
fof(f1001,plain,
! [X0] : sk1 = tl(cons(skaf78(X0),sk1)),
inference(forward_demodulation,[],[f999,f191]) ).
fof(f999,plain,
! [X0] : sk3 = tl(cons(skaf78(X0),sk3)),
inference(resolution,[],[f491,f188]) ).
fof(f996,plain,
! [X0,X1] :
( tl(X1) = tl(cons(skaf78(X0),tl(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f491,f75]) ).
fof(f995,plain,
! [X2,X0,X1] :
( app(X1,X2) = tl(cons(skaf78(X0),app(X1,X2)))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f491,f85]) ).
fof(f994,plain,
! [X2,X0,X1] :
( cons(X1,X2) = tl(cons(skaf78(X0),cons(X1,X2)))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(resolution,[],[f491,f86]) ).
fof(f993,plain,
! [X2,X0,X1] : skaf42(X1,X2) = tl(cons(skaf78(X0),skaf42(X1,X2))),
inference(resolution,[],[f491,f53]) ).
fof(f992,plain,
! [X2,X0,X1] : skaf43(X1,X2) = tl(cons(skaf78(X0),skaf43(X1,X2))),
inference(resolution,[],[f491,f52]) ).
fof(f991,plain,
! [X2,X0,X1] : skaf45(X1,X2) = tl(cons(skaf78(X0),skaf45(X1,X2))),
inference(resolution,[],[f491,f51]) ).
fof(f990,plain,
! [X2,X0,X1] : skaf46(X1,X2) = tl(cons(skaf78(X0),skaf46(X1,X2))),
inference(resolution,[],[f491,f50]) ).
fof(f989,plain,
! [X2,X0,X1] : skaf47(X1,X2) = tl(cons(skaf78(X0),skaf47(X1,X2))),
inference(resolution,[],[f491,f49]) ).
fof(f988,plain,
! [X2,X0,X1] : skaf48(X1,X2) = tl(cons(skaf78(X0),skaf48(X1,X2))),
inference(resolution,[],[f491,f48]) ).
fof(f987,plain,
! [X0,X1] : skaf51(X1) = tl(cons(skaf78(X0),skaf51(X1))),
inference(resolution,[],[f491,f44]) ).
fof(f986,plain,
! [X0,X1] : skaf52(X1) = tl(cons(skaf78(X0),skaf52(X1))),
inference(resolution,[],[f491,f43]) ).
fof(f985,plain,
! [X0,X1] : skaf53(X1) = tl(cons(skaf78(X0),skaf53(X1))),
inference(resolution,[],[f491,f42]) ).
fof(f984,plain,
! [X0,X1] : skaf56(X1) = tl(cons(skaf78(X0),skaf56(X1))),
inference(resolution,[],[f491,f39]) ).
fof(f983,plain,
! [X0,X1] : skaf57(X1) = tl(cons(skaf78(X0),skaf57(X1))),
inference(resolution,[],[f491,f38]) ).
fof(f982,plain,
! [X0,X1] : skaf58(X1) = tl(cons(skaf78(X0),skaf58(X1))),
inference(resolution,[],[f491,f37]) ).
fof(f981,plain,
! [X0,X1] : skaf61(X1) = tl(cons(skaf78(X0),skaf61(X1))),
inference(resolution,[],[f491,f34]) ).
fof(f980,plain,
! [X0,X1] : skaf62(X1) = tl(cons(skaf78(X0),skaf62(X1))),
inference(resolution,[],[f491,f33]) ).
fof(f979,plain,
! [X0,X1] : skaf63(X1) = tl(cons(skaf78(X0),skaf63(X1))),
inference(resolution,[],[f491,f32]) ).
fof(f978,plain,
! [X0,X1] : skaf66(X1) = tl(cons(skaf78(X0),skaf66(X1))),
inference(resolution,[],[f491,f29]) ).
fof(f977,plain,
! [X0,X1] : skaf67(X1) = tl(cons(skaf78(X0),skaf67(X1))),
inference(resolution,[],[f491,f28]) ).
fof(f976,plain,
! [X0,X1] : skaf68(X1) = tl(cons(skaf78(X0),skaf68(X1))),
inference(resolution,[],[f491,f27]) ).
fof(f975,plain,
! [X0,X1] : skaf71(X1) = tl(cons(skaf78(X0),skaf71(X1))),
inference(resolution,[],[f491,f24]) ).
fof(f974,plain,
! [X0,X1] : skaf72(X1) = tl(cons(skaf78(X0),skaf72(X1))),
inference(resolution,[],[f491,f23]) ).
fof(f973,plain,
! [X0,X1] : skaf73(X1) = tl(cons(skaf78(X0),skaf73(X1))),
inference(resolution,[],[f491,f22]) ).
fof(f972,plain,
! [X0,X1] : skaf75(X1) = tl(cons(skaf78(X0),skaf75(X1))),
inference(resolution,[],[f491,f20]) ).
fof(f971,plain,
! [X0,X1] : skaf76(X1) = tl(cons(skaf78(X0),skaf76(X1))),
inference(resolution,[],[f491,f19]) ).
fof(f970,plain,
! [X0,X1] : skaf77(X1) = tl(cons(skaf78(X0),skaf77(X1))),
inference(resolution,[],[f491,f18]) ).
fof(f969,plain,
! [X0,X1] : skaf80(X1) = tl(cons(skaf78(X0),skaf80(X1))),
inference(resolution,[],[f491,f15]) ).
fof(f968,plain,
! [X0,X1] : skaf81(X1) = tl(cons(skaf78(X0),skaf81(X1))),
inference(resolution,[],[f491,f14]) ).
fof(f967,plain,
! [X0,X1] : skaf82(X1) = tl(cons(skaf78(X0),skaf82(X1))),
inference(resolution,[],[f491,f13]) ).
fof(f491,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf78(X1),X0)) = X0 ),
inference(resolution,[],[f96,f17]) ).
fof(f923,plain,
! [X0] : nil = tl(cons(skaf79(X0),nil)),
inference(resolution,[],[f490,f8]) ).
fof(f955,plain,
! [X0] : sk2 = tl(cons(skaf79(X0),sk2)),
inference(resolution,[],[f490,f187]) ).
fof(f954,plain,
! [X0] : sk1 = tl(cons(skaf79(X0),sk1)),
inference(resolution,[],[f490,f186]) ).
fof(f959,plain,
! [X0] : sk2 = tl(cons(skaf79(X0),sk2)),
inference(forward_demodulation,[],[f957,f190]) ).
fof(f957,plain,
! [X0] : sk4 = tl(cons(skaf79(X0),sk4)),
inference(resolution,[],[f490,f189]) ).
fof(f958,plain,
! [X0] : sk1 = tl(cons(skaf79(X0),sk1)),
inference(forward_demodulation,[],[f956,f191]) ).
fof(f956,plain,
! [X0] : sk3 = tl(cons(skaf79(X0),sk3)),
inference(resolution,[],[f490,f188]) ).
fof(f953,plain,
! [X0,X1] :
( tl(X1) = tl(cons(skaf79(X0),tl(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f490,f75]) ).
fof(f952,plain,
! [X2,X0,X1] :
( app(X1,X2) = tl(cons(skaf79(X0),app(X1,X2)))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f490,f85]) ).
fof(f951,plain,
! [X2,X0,X1] :
( cons(X1,X2) = tl(cons(skaf79(X0),cons(X1,X2)))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(resolution,[],[f490,f86]) ).
fof(f950,plain,
! [X2,X0,X1] : skaf42(X1,X2) = tl(cons(skaf79(X0),skaf42(X1,X2))),
inference(resolution,[],[f490,f53]) ).
fof(f949,plain,
! [X2,X0,X1] : skaf43(X1,X2) = tl(cons(skaf79(X0),skaf43(X1,X2))),
inference(resolution,[],[f490,f52]) ).
fof(f948,plain,
! [X2,X0,X1] : skaf45(X1,X2) = tl(cons(skaf79(X0),skaf45(X1,X2))),
inference(resolution,[],[f490,f51]) ).
fof(f947,plain,
! [X2,X0,X1] : skaf46(X1,X2) = tl(cons(skaf79(X0),skaf46(X1,X2))),
inference(resolution,[],[f490,f50]) ).
fof(f946,plain,
! [X2,X0,X1] : skaf47(X1,X2) = tl(cons(skaf79(X0),skaf47(X1,X2))),
inference(resolution,[],[f490,f49]) ).
fof(f945,plain,
! [X2,X0,X1] : skaf48(X1,X2) = tl(cons(skaf79(X0),skaf48(X1,X2))),
inference(resolution,[],[f490,f48]) ).
fof(f944,plain,
! [X0,X1] : skaf51(X1) = tl(cons(skaf79(X0),skaf51(X1))),
inference(resolution,[],[f490,f44]) ).
fof(f943,plain,
! [X0,X1] : skaf52(X1) = tl(cons(skaf79(X0),skaf52(X1))),
inference(resolution,[],[f490,f43]) ).
fof(f942,plain,
! [X0,X1] : skaf53(X1) = tl(cons(skaf79(X0),skaf53(X1))),
inference(resolution,[],[f490,f42]) ).
fof(f941,plain,
! [X0,X1] : skaf56(X1) = tl(cons(skaf79(X0),skaf56(X1))),
inference(resolution,[],[f490,f39]) ).
fof(f940,plain,
! [X0,X1] : skaf57(X1) = tl(cons(skaf79(X0),skaf57(X1))),
inference(resolution,[],[f490,f38]) ).
fof(f939,plain,
! [X0,X1] : skaf58(X1) = tl(cons(skaf79(X0),skaf58(X1))),
inference(resolution,[],[f490,f37]) ).
fof(f938,plain,
! [X0,X1] : skaf61(X1) = tl(cons(skaf79(X0),skaf61(X1))),
inference(resolution,[],[f490,f34]) ).
fof(f937,plain,
! [X0,X1] : skaf62(X1) = tl(cons(skaf79(X0),skaf62(X1))),
inference(resolution,[],[f490,f33]) ).
fof(f936,plain,
! [X0,X1] : skaf63(X1) = tl(cons(skaf79(X0),skaf63(X1))),
inference(resolution,[],[f490,f32]) ).
fof(f935,plain,
! [X0,X1] : skaf66(X1) = tl(cons(skaf79(X0),skaf66(X1))),
inference(resolution,[],[f490,f29]) ).
fof(f934,plain,
! [X0,X1] : skaf67(X1) = tl(cons(skaf79(X0),skaf67(X1))),
inference(resolution,[],[f490,f28]) ).
fof(f933,plain,
! [X0,X1] : skaf68(X1) = tl(cons(skaf79(X0),skaf68(X1))),
inference(resolution,[],[f490,f27]) ).
fof(f932,plain,
! [X0,X1] : skaf71(X1) = tl(cons(skaf79(X0),skaf71(X1))),
inference(resolution,[],[f490,f24]) ).
fof(f931,plain,
! [X0,X1] : skaf72(X1) = tl(cons(skaf79(X0),skaf72(X1))),
inference(resolution,[],[f490,f23]) ).
fof(f930,plain,
! [X0,X1] : skaf73(X1) = tl(cons(skaf79(X0),skaf73(X1))),
inference(resolution,[],[f490,f22]) ).
fof(f929,plain,
! [X0,X1] : skaf75(X1) = tl(cons(skaf79(X0),skaf75(X1))),
inference(resolution,[],[f490,f20]) ).
fof(f928,plain,
! [X0,X1] : skaf76(X1) = tl(cons(skaf79(X0),skaf76(X1))),
inference(resolution,[],[f490,f19]) ).
fof(f927,plain,
! [X0,X1] : skaf77(X1) = tl(cons(skaf79(X0),skaf77(X1))),
inference(resolution,[],[f490,f18]) ).
fof(f926,plain,
! [X0,X1] : skaf80(X1) = tl(cons(skaf79(X0),skaf80(X1))),
inference(resolution,[],[f490,f15]) ).
fof(f925,plain,
! [X0,X1] : skaf81(X1) = tl(cons(skaf79(X0),skaf81(X1))),
inference(resolution,[],[f490,f14]) ).
fof(f924,plain,
! [X0,X1] : skaf82(X1) = tl(cons(skaf79(X0),skaf82(X1))),
inference(resolution,[],[f490,f13]) ).
fof(f490,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf79(X1),X0)) = X0 ),
inference(resolution,[],[f96,f16]) ).
fof(f878,plain,
! [X0] : nil = tl(cons(skaf83(X0),nil)),
inference(resolution,[],[f489,f8]) ).
fof(f910,plain,
! [X0] : sk2 = tl(cons(skaf83(X0),sk2)),
inference(resolution,[],[f489,f187]) ).
fof(f918,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
inference(duplicate_literal_removal,[],[f917]) ).
fof(f917,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
inference(resolution,[],[f207,f101]) ).
fof(f909,plain,
! [X0] : sk1 = tl(cons(skaf83(X0),sk1)),
inference(resolution,[],[f489,f186]) ).
fof(f914,plain,
! [X0] : sk2 = tl(cons(skaf83(X0),sk2)),
inference(forward_demodulation,[],[f912,f190]) ).
fof(f912,plain,
! [X0] : sk4 = tl(cons(skaf83(X0),sk4)),
inference(resolution,[],[f489,f189]) ).
fof(f913,plain,
! [X0] : sk1 = tl(cons(skaf83(X0),sk1)),
inference(forward_demodulation,[],[f911,f191]) ).
fof(f911,plain,
! [X0] : sk3 = tl(cons(skaf83(X0),sk3)),
inference(resolution,[],[f489,f188]) ).
fof(f908,plain,
! [X0,X1] :
( tl(X1) = tl(cons(skaf83(X0),tl(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f489,f75]) ).
fof(f907,plain,
! [X2,X0,X1] :
( app(X1,X2) = tl(cons(skaf83(X0),app(X1,X2)))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f489,f85]) ).
fof(f906,plain,
! [X2,X0,X1] :
( cons(X1,X2) = tl(cons(skaf83(X0),cons(X1,X2)))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(resolution,[],[f489,f86]) ).
fof(f905,plain,
! [X2,X0,X1] : skaf42(X1,X2) = tl(cons(skaf83(X0),skaf42(X1,X2))),
inference(resolution,[],[f489,f53]) ).
fof(f904,plain,
! [X2,X0,X1] : skaf43(X1,X2) = tl(cons(skaf83(X0),skaf43(X1,X2))),
inference(resolution,[],[f489,f52]) ).
fof(f903,plain,
! [X2,X0,X1] : skaf45(X1,X2) = tl(cons(skaf83(X0),skaf45(X1,X2))),
inference(resolution,[],[f489,f51]) ).
fof(f902,plain,
! [X2,X0,X1] : skaf46(X1,X2) = tl(cons(skaf83(X0),skaf46(X1,X2))),
inference(resolution,[],[f489,f50]) ).
fof(f901,plain,
! [X2,X0,X1] : skaf47(X1,X2) = tl(cons(skaf83(X0),skaf47(X1,X2))),
inference(resolution,[],[f489,f49]) ).
fof(f900,plain,
! [X2,X0,X1] : skaf48(X1,X2) = tl(cons(skaf83(X0),skaf48(X1,X2))),
inference(resolution,[],[f489,f48]) ).
fof(f899,plain,
! [X0,X1] : skaf51(X1) = tl(cons(skaf83(X0),skaf51(X1))),
inference(resolution,[],[f489,f44]) ).
fof(f898,plain,
! [X0,X1] : skaf52(X1) = tl(cons(skaf83(X0),skaf52(X1))),
inference(resolution,[],[f489,f43]) ).
fof(f897,plain,
! [X0,X1] : skaf53(X1) = tl(cons(skaf83(X0),skaf53(X1))),
inference(resolution,[],[f489,f42]) ).
fof(f896,plain,
! [X0,X1] : skaf56(X1) = tl(cons(skaf83(X0),skaf56(X1))),
inference(resolution,[],[f489,f39]) ).
fof(f895,plain,
! [X0,X1] : skaf57(X1) = tl(cons(skaf83(X0),skaf57(X1))),
inference(resolution,[],[f489,f38]) ).
fof(f894,plain,
! [X0,X1] : skaf58(X1) = tl(cons(skaf83(X0),skaf58(X1))),
inference(resolution,[],[f489,f37]) ).
fof(f893,plain,
! [X0,X1] : skaf61(X1) = tl(cons(skaf83(X0),skaf61(X1))),
inference(resolution,[],[f489,f34]) ).
fof(f892,plain,
! [X0,X1] : skaf62(X1) = tl(cons(skaf83(X0),skaf62(X1))),
inference(resolution,[],[f489,f33]) ).
fof(f891,plain,
! [X0,X1] : skaf63(X1) = tl(cons(skaf83(X0),skaf63(X1))),
inference(resolution,[],[f489,f32]) ).
fof(f890,plain,
! [X0,X1] : skaf66(X1) = tl(cons(skaf83(X0),skaf66(X1))),
inference(resolution,[],[f489,f29]) ).
fof(f889,plain,
! [X0,X1] : skaf67(X1) = tl(cons(skaf83(X0),skaf67(X1))),
inference(resolution,[],[f489,f28]) ).
fof(f888,plain,
! [X0,X1] : skaf68(X1) = tl(cons(skaf83(X0),skaf68(X1))),
inference(resolution,[],[f489,f27]) ).
fof(f887,plain,
! [X0,X1] : skaf71(X1) = tl(cons(skaf83(X0),skaf71(X1))),
inference(resolution,[],[f489,f24]) ).
fof(f886,plain,
! [X0,X1] : skaf72(X1) = tl(cons(skaf83(X0),skaf72(X1))),
inference(resolution,[],[f489,f23]) ).
fof(f885,plain,
! [X0,X1] : skaf73(X1) = tl(cons(skaf83(X0),skaf73(X1))),
inference(resolution,[],[f489,f22]) ).
fof(f884,plain,
! [X0,X1] : skaf75(X1) = tl(cons(skaf83(X0),skaf75(X1))),
inference(resolution,[],[f489,f20]) ).
fof(f883,plain,
! [X0,X1] : skaf76(X1) = tl(cons(skaf83(X0),skaf76(X1))),
inference(resolution,[],[f489,f19]) ).
fof(f882,plain,
! [X0,X1] : skaf77(X1) = tl(cons(skaf83(X0),skaf77(X1))),
inference(resolution,[],[f489,f18]) ).
fof(f881,plain,
! [X0,X1] : skaf80(X1) = tl(cons(skaf83(X0),skaf80(X1))),
inference(resolution,[],[f489,f15]) ).
fof(f880,plain,
! [X0,X1] : skaf81(X1) = tl(cons(skaf83(X0),skaf81(X1))),
inference(resolution,[],[f489,f14]) ).
fof(f879,plain,
! [X0,X1] : skaf82(X1) = tl(cons(skaf83(X0),skaf82(X1))),
inference(resolution,[],[f489,f13]) ).
fof(f489,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf83(X1),X0)) = X0 ),
inference(resolution,[],[f96,f12]) ).
fof(f356,plain,
! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
inference(resolution,[],[f74,f53]) ).
fof(f355,plain,
! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
inference(resolution,[],[f74,f52]) ).
fof(f353,plain,
! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
inference(resolution,[],[f74,f50]) ).
fof(f352,plain,
! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
inference(resolution,[],[f74,f49]) ).
fof(f351,plain,
! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)),
inference(resolution,[],[f74,f48]) ).
fof(f322,plain,
! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil),
inference(resolution,[],[f73,f53]) ).
fof(f321,plain,
! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil),
inference(resolution,[],[f73,f52]) ).
fof(f320,plain,
! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil),
inference(resolution,[],[f73,f51]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f319,plain,
! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
inference(resolution,[],[f73,f50]) ).
fof(f701,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf42(X0,X1))),
inference(resolution,[],[f590,f53]) ).
fof(f700,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf43(X0,X1))),
inference(resolution,[],[f590,f52]) ).
fof(f699,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf45(X0,X1))),
inference(resolution,[],[f590,f51]) ).
fof(f698,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf46(X0,X1))),
inference(resolution,[],[f590,f50]) ).
fof(f697,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf47(X0,X1))),
inference(resolution,[],[f590,f49]) ).
fof(f696,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf48(X0,X1))),
inference(resolution,[],[f590,f48]) ).
fof(f636,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf42(X0,X1))),
inference(resolution,[],[f589,f53]) ).
fof(f635,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf43(X0,X1))),
inference(resolution,[],[f589,f52]) ).
fof(f634,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf45(X0,X1))),
inference(resolution,[],[f589,f51]) ).
fof(f633,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf46(X0,X1))),
inference(resolution,[],[f589,f50]) ).
fof(f847,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ lt(X0,X1) ),
inference(duplicate_literal_removal,[],[f846]) ).
fof(f846,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(f632,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf47(X0,X1))),
inference(resolution,[],[f589,f49]) ).
fof(f631,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf48(X0,X1))),
inference(resolution,[],[f589,f48]) ).
fof(f569,plain,
! [X0] : skaf51(X0) = tl(cons(skac2,skaf51(X0))),
inference(resolution,[],[f488,f44]) ).
fof(f568,plain,
! [X0] : skaf52(X0) = tl(cons(skac2,skaf52(X0))),
inference(resolution,[],[f488,f43]) ).
fof(f567,plain,
! [X0] : skaf53(X0) = tl(cons(skac2,skaf53(X0))),
inference(resolution,[],[f488,f42]) ).
fof(f566,plain,
! [X0] : skaf56(X0) = tl(cons(skac2,skaf56(X0))),
inference(resolution,[],[f488,f39]) ).
fof(f565,plain,
! [X0] : skaf57(X0) = tl(cons(skac2,skaf57(X0))),
inference(resolution,[],[f488,f38]) ).
fof(f564,plain,
! [X0] : skaf58(X0) = tl(cons(skac2,skaf58(X0))),
inference(resolution,[],[f488,f37]) ).
fof(f563,plain,
! [X0] : skaf61(X0) = tl(cons(skac2,skaf61(X0))),
inference(resolution,[],[f488,f34]) ).
fof(f562,plain,
! [X0] : skaf62(X0) = tl(cons(skac2,skaf62(X0))),
inference(resolution,[],[f488,f33]) ).
fof(f561,plain,
! [X0] : skaf63(X0) = tl(cons(skac2,skaf63(X0))),
inference(resolution,[],[f488,f32]) ).
fof(f825,plain,
! [X0] :
( geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f824,f46]) ).
fof(f824,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f819,f45]) ).
fof(f819,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ ssItem(skaf49(X0))
| geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f108,f88]) ).
fof(f823,plain,
! [X0] :
( geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f822,f45]) ).
fof(f822,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f818,f46]) ).
fof(f818,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(f560,plain,
! [X0] : skaf66(X0) = tl(cons(skac2,skaf66(X0))),
inference(resolution,[],[f488,f29]) ).
fof(f559,plain,
! [X0] : skaf67(X0) = tl(cons(skac2,skaf67(X0))),
inference(resolution,[],[f488,f28]) ).
fof(f558,plain,
! [X0] : skaf68(X0) = tl(cons(skac2,skaf68(X0))),
inference(resolution,[],[f488,f27]) ).
fof(f557,plain,
! [X0] : skaf71(X0) = tl(cons(skac2,skaf71(X0))),
inference(resolution,[],[f488,f24]) ).
fof(f556,plain,
! [X0] : skaf72(X0) = tl(cons(skac2,skaf72(X0))),
inference(resolution,[],[f488,f23]) ).
fof(f555,plain,
! [X0] : skaf73(X0) = tl(cons(skac2,skaf73(X0))),
inference(resolution,[],[f488,f22]) ).
fof(f554,plain,
! [X0] : skaf75(X0) = tl(cons(skac2,skaf75(X0))),
inference(resolution,[],[f488,f20]) ).
fof(f553,plain,
! [X0] : skaf76(X0) = tl(cons(skac2,skaf76(X0))),
inference(resolution,[],[f488,f19]) ).
fof(f552,plain,
! [X0] : skaf77(X0) = tl(cons(skac2,skaf77(X0))),
inference(resolution,[],[f488,f18]) ).
fof(f551,plain,
! [X0] : skaf80(X0) = tl(cons(skac2,skaf80(X0))),
inference(resolution,[],[f488,f15]) ).
fof(f550,plain,
! [X0] : skaf81(X0) = tl(cons(skac2,skaf81(X0))),
inference(resolution,[],[f488,f14]) ).
fof(f793,plain,
! [X0] :
( ~ geq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f792,f41]) ).
fof(f792,plain,
! [X0] :
( ~ geq(skaf55(X0),skaf54(X0))
| ~ ssItem(skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f787,f40]) ).
fof(f787,plain,
! [X0] :
( ~ ssItem(skaf55(X0))
| ~ geq(skaf55(X0),skaf54(X0))
| ~ ssItem(skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f95]) ).
fof(f791,plain,
! [X0] :
( ~ geq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f790,f40]) ).
fof(f790,plain,
! [X0] :
( ~ geq(skaf54(X0),skaf55(X0))
| ~ ssItem(skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f786,f41]) ).
fof(f786,plain,
! [X0] :
( ~ ssItem(skaf54(X0))
| ~ geq(skaf54(X0),skaf55(X0))
| ~ ssItem(skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f94]) ).
fof(f789,plain,
! [X0] :
( ~ geq(skaf65(X0),skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f788,f31]) ).
fof(f788,plain,
! [X0] :
( ~ geq(skaf65(X0),skaf64(X0))
| ~ ssItem(skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f785,f30]) ).
fof(f785,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(f549,plain,
! [X0] : skaf82(X0) = tl(cons(skac2,skaf82(X0))),
inference(resolution,[],[f488,f13]) ).
fof(f526,plain,
! [X0] : skaf51(X0) = tl(cons(skac3,skaf51(X0))),
inference(resolution,[],[f487,f44]) ).
fof(f525,plain,
! [X0] : skaf52(X0) = tl(cons(skac3,skaf52(X0))),
inference(resolution,[],[f487,f43]) ).
fof(f524,plain,
! [X0] : skaf53(X0) = tl(cons(skac3,skaf53(X0))),
inference(resolution,[],[f487,f42]) ).
fof(f523,plain,
! [X0] : skaf56(X0) = tl(cons(skac3,skaf56(X0))),
inference(resolution,[],[f487,f39]) ).
fof(f522,plain,
! [X0] : skaf57(X0) = tl(cons(skac3,skaf57(X0))),
inference(resolution,[],[f487,f38]) ).
fof(f521,plain,
! [X0] : skaf58(X0) = tl(cons(skac3,skaf58(X0))),
inference(resolution,[],[f487,f37]) ).
fof(f520,plain,
! [X0] : skaf61(X0) = tl(cons(skac3,skaf61(X0))),
inference(resolution,[],[f487,f34]) ).
fof(f519,plain,
! [X0] : skaf62(X0) = tl(cons(skac3,skaf62(X0))),
inference(resolution,[],[f487,f33]) ).
fof(f518,plain,
! [X0] : skaf63(X0) = tl(cons(skac3,skaf63(X0))),
inference(resolution,[],[f487,f32]) ).
fof(f517,plain,
! [X0] : skaf66(X0) = tl(cons(skac3,skaf66(X0))),
inference(resolution,[],[f487,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(f516,plain,
! [X0] : skaf67(X0) = tl(cons(skac3,skaf67(X0))),
inference(resolution,[],[f487,f28]) ).
fof(f515,plain,
! [X0] : skaf68(X0) = tl(cons(skac3,skaf68(X0))),
inference(resolution,[],[f487,f27]) ).
fof(f514,plain,
! [X0] : skaf71(X0) = tl(cons(skac3,skaf71(X0))),
inference(resolution,[],[f487,f24]) ).
fof(f513,plain,
! [X0] : skaf72(X0) = tl(cons(skac3,skaf72(X0))),
inference(resolution,[],[f487,f23]) ).
fof(f512,plain,
! [X0] : skaf73(X0) = tl(cons(skac3,skaf73(X0))),
inference(resolution,[],[f487,f22]) ).
fof(f511,plain,
! [X0] : skaf75(X0) = tl(cons(skac3,skaf75(X0))),
inference(resolution,[],[f487,f20]) ).
fof(f510,plain,
! [X0] : skaf76(X0) = tl(cons(skac3,skaf76(X0))),
inference(resolution,[],[f487,f19]) ).
fof(f509,plain,
! [X0] : skaf77(X0) = tl(cons(skac3,skaf77(X0))),
inference(resolution,[],[f487,f18]) ).
fof(f508,plain,
! [X0] : skaf80(X0) = tl(cons(skac3,skaf80(X0))),
inference(resolution,[],[f487,f15]) ).
fof(f507,plain,
! [X0] : skaf81(X0) = tl(cons(skac3,skaf81(X0))),
inference(resolution,[],[f487,f14]) ).
fof(f506,plain,
! [X0] : skaf82(X0) = tl(cons(skac3,skaf82(X0))),
inference(resolution,[],[f487,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(f695,plain,
! [X0] : skac2 = hd(cons(skac2,skaf51(X0))),
inference(resolution,[],[f590,f44]) ).
fof(f694,plain,
! [X0] : skac2 = hd(cons(skac2,skaf52(X0))),
inference(resolution,[],[f590,f43]) ).
fof(f693,plain,
! [X0] : skac2 = hd(cons(skac2,skaf53(X0))),
inference(resolution,[],[f590,f42]) ).
fof(f692,plain,
! [X0] : skac2 = hd(cons(skac2,skaf56(X0))),
inference(resolution,[],[f590,f39]) ).
fof(f691,plain,
! [X0] : skac2 = hd(cons(skac2,skaf57(X0))),
inference(resolution,[],[f590,f38]) ).
fof(f690,plain,
! [X0] : skac2 = hd(cons(skac2,skaf58(X0))),
inference(resolution,[],[f590,f37]) ).
fof(f689,plain,
! [X0] : skac2 = hd(cons(skac2,skaf61(X0))),
inference(resolution,[],[f590,f34]) ).
fof(f688,plain,
! [X0] : skac2 = hd(cons(skac2,skaf62(X0))),
inference(resolution,[],[f590,f33]) ).
fof(f687,plain,
! [X0] : skac2 = hd(cons(skac2,skaf63(X0))),
inference(resolution,[],[f590,f32]) ).
fof(f686,plain,
! [X0] : skac2 = hd(cons(skac2,skaf66(X0))),
inference(resolution,[],[f590,f29]) ).
fof(f685,plain,
! [X0] : skac2 = hd(cons(skac2,skaf67(X0))),
inference(resolution,[],[f590,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(f684,plain,
! [X0] : skac2 = hd(cons(skac2,skaf68(X0))),
inference(resolution,[],[f590,f27]) ).
fof(f683,plain,
! [X0] : skac2 = hd(cons(skac2,skaf71(X0))),
inference(resolution,[],[f590,f24]) ).
fof(f682,plain,
! [X0] : skac2 = hd(cons(skac2,skaf72(X0))),
inference(resolution,[],[f590,f23]) ).
fof(f681,plain,
! [X0] : skac2 = hd(cons(skac2,skaf73(X0))),
inference(resolution,[],[f590,f22]) ).
fof(f680,plain,
! [X0] : skac2 = hd(cons(skac2,skaf75(X0))),
inference(resolution,[],[f590,f20]) ).
fof(f679,plain,
! [X0] : skac2 = hd(cons(skac2,skaf76(X0))),
inference(resolution,[],[f590,f19]) ).
fof(f678,plain,
! [X0] : skac2 = hd(cons(skac2,skaf77(X0))),
inference(resolution,[],[f590,f18]) ).
fof(f677,plain,
! [X0] : skac2 = hd(cons(skac2,skaf80(X0))),
inference(resolution,[],[f590,f15]) ).
fof(f676,plain,
! [X0] : skac2 = hd(cons(skac2,skaf81(X0))),
inference(resolution,[],[f590,f14]) ).
fof(f675,plain,
! [X0] : skac2 = hd(cons(skac2,skaf82(X0))),
inference(resolution,[],[f590,f13]) ).
fof(f674,plain,
skac2 = hd(cons(skac2,nil)),
inference(resolution,[],[f590,f8]) ).
fof(f102,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X0)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f706,plain,
skac2 = hd(cons(skac2,sk2)),
inference(resolution,[],[f590,f187]) ).
fof(f705,plain,
skac2 = hd(cons(skac2,sk1)),
inference(resolution,[],[f590,f186]) ).
fof(f710,plain,
skac2 = hd(cons(skac2,sk2)),
inference(forward_demodulation,[],[f708,f190]) ).
fof(f708,plain,
skac2 = hd(cons(skac2,sk4)),
inference(resolution,[],[f590,f189]) ).
fof(f709,plain,
skac2 = hd(cons(skac2,sk1)),
inference(forward_demodulation,[],[f707,f191]) ).
fof(f707,plain,
skac2 = hd(cons(skac2,sk3)),
inference(resolution,[],[f590,f188]) ).
fof(f704,plain,
! [X0] :
( skac2 = hd(cons(skac2,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f590,f75]) ).
fof(f703,plain,
! [X0,X1] :
( skac2 = hd(cons(skac2,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f590,f85]) ).
fof(f702,plain,
! [X0,X1] :
( skac2 = hd(cons(skac2,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f590,f86]) ).
fof(f590,plain,
! [X0] :
( ~ ssList(X0)
| skac2 = hd(cons(skac2,X0)) ),
inference(resolution,[],[f97,f10]) ).
fof(f630,plain,
! [X0] : skac3 = hd(cons(skac3,skaf51(X0))),
inference(resolution,[],[f589,f44]) ).
fof(f629,plain,
! [X0] : skac3 = hd(cons(skac3,skaf52(X0))),
inference(resolution,[],[f589,f43]) ).
fof(f628,plain,
! [X0] : skac3 = hd(cons(skac3,skaf53(X0))),
inference(resolution,[],[f589,f42]) ).
fof(f627,plain,
! [X0] : skac3 = hd(cons(skac3,skaf56(X0))),
inference(resolution,[],[f589,f39]) ).
fof(f626,plain,
! [X0] : skac3 = hd(cons(skac3,skaf57(X0))),
inference(resolution,[],[f589,f38]) ).
fof(f625,plain,
! [X0] : skac3 = hd(cons(skac3,skaf58(X0))),
inference(resolution,[],[f589,f37]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f624,plain,
! [X0] : skac3 = hd(cons(skac3,skaf61(X0))),
inference(resolution,[],[f589,f34]) ).
fof(f623,plain,
! [X0] : skac3 = hd(cons(skac3,skaf62(X0))),
inference(resolution,[],[f589,f33]) ).
fof(f622,plain,
! [X0] : skac3 = hd(cons(skac3,skaf63(X0))),
inference(resolution,[],[f589,f32]) ).
fof(f621,plain,
! [X0] : skac3 = hd(cons(skac3,skaf66(X0))),
inference(resolution,[],[f589,f29]) ).
fof(f620,plain,
! [X0] : skac3 = hd(cons(skac3,skaf67(X0))),
inference(resolution,[],[f589,f28]) ).
fof(f619,plain,
! [X0] : skac3 = hd(cons(skac3,skaf68(X0))),
inference(resolution,[],[f589,f27]) ).
fof(f618,plain,
! [X0] : skac3 = hd(cons(skac3,skaf71(X0))),
inference(resolution,[],[f589,f24]) ).
fof(f617,plain,
! [X0] : skac3 = hd(cons(skac3,skaf72(X0))),
inference(resolution,[],[f589,f23]) ).
fof(f616,plain,
! [X0] : skac3 = hd(cons(skac3,skaf73(X0))),
inference(resolution,[],[f589,f22]) ).
fof(f615,plain,
! [X0] : skac3 = hd(cons(skac3,skaf75(X0))),
inference(resolution,[],[f589,f20]) ).
fof(f614,plain,
! [X0] : skac3 = hd(cons(skac3,skaf76(X0))),
inference(resolution,[],[f589,f19]) ).
fof(f613,plain,
! [X0] : skac3 = hd(cons(skac3,skaf77(X0))),
inference(resolution,[],[f589,f18]) ).
fof(f612,plain,
! [X0] : skac3 = hd(cons(skac3,skaf80(X0))),
inference(resolution,[],[f589,f15]) ).
fof(f611,plain,
! [X0] : skac3 = hd(cons(skac3,skaf81(X0))),
inference(resolution,[],[f589,f14]) ).
fof(f610,plain,
! [X0] : skac3 = hd(cons(skac3,skaf82(X0))),
inference(resolution,[],[f589,f13]) ).
fof(f609,plain,
skac3 = hd(cons(skac3,nil)),
inference(resolution,[],[f589,f8]) ).
fof(f641,plain,
skac3 = hd(cons(skac3,sk2)),
inference(resolution,[],[f589,f187]) ).
fof(f640,plain,
skac3 = hd(cons(skac3,sk1)),
inference(resolution,[],[f589,f186]) ).
fof(f645,plain,
skac3 = hd(cons(skac3,sk2)),
inference(forward_demodulation,[],[f643,f190]) ).
fof(f643,plain,
skac3 = hd(cons(skac3,sk4)),
inference(resolution,[],[f589,f189]) ).
fof(f644,plain,
skac3 = hd(cons(skac3,sk1)),
inference(forward_demodulation,[],[f642,f191]) ).
fof(f642,plain,
skac3 = hd(cons(skac3,sk3)),
inference(resolution,[],[f589,f188]) ).
fof(f639,plain,
! [X0] :
( skac3 = hd(cons(skac3,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f589,f75]) ).
fof(f638,plain,
! [X0,X1] :
( skac3 = hd(cons(skac3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f589,f85]) ).
fof(f637,plain,
! [X0,X1] :
( skac3 = hd(cons(skac3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f589,f86]) ).
fof(f589,plain,
! [X0] :
( ~ ssList(X0)
| skac3 = hd(cons(skac3,X0)) ),
inference(resolution,[],[f97,f9]) ).
fof(f548,plain,
nil = tl(cons(skac2,nil)),
inference(resolution,[],[f488,f8]) ).
fof(f606,plain,
! [X0,X1] :
( ~ ssList(X0)
| hd(X1) = hd(cons(hd(X1),X0))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f97,f76]) ).
fof(f605,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf44(X1) = hd(cons(skaf44(X1),X0)) ),
inference(resolution,[],[f97,f47]) ).
fof(f604,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf49(X1) = hd(cons(skaf49(X1),X0)) ),
inference(resolution,[],[f97,f46]) ).
fof(f603,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf50(X1) = hd(cons(skaf50(X1),X0)) ),
inference(resolution,[],[f97,f45]) ).
fof(f602,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf54(X1) = hd(cons(skaf54(X1),X0)) ),
inference(resolution,[],[f97,f41]) ).
fof(f601,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf55(X1) = hd(cons(skaf55(X1),X0)) ),
inference(resolution,[],[f97,f40]) ).
fof(f600,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf59(X1) = hd(cons(skaf59(X1),X0)) ),
inference(resolution,[],[f97,f36]) ).
fof(f599,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf60(X1) = hd(cons(skaf60(X1),X0)) ),
inference(resolution,[],[f97,f35]) ).
fof(f598,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf64(X1) = hd(cons(skaf64(X1),X0)) ),
inference(resolution,[],[f97,f31]) ).
fof(f597,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf65(X1) = hd(cons(skaf65(X1),X0)) ),
inference(resolution,[],[f97,f30]) ).
fof(f596,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf69(X1) = hd(cons(skaf69(X1),X0)) ),
inference(resolution,[],[f97,f26]) ).
fof(f595,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf70(X1) = hd(cons(skaf70(X1),X0)) ),
inference(resolution,[],[f97,f25]) ).
fof(f594,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf74(X1) = hd(cons(skaf74(X1),X0)) ),
inference(resolution,[],[f97,f21]) ).
fof(f593,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf78(X1) = hd(cons(skaf78(X1),X0)) ),
inference(resolution,[],[f97,f17]) ).
fof(f592,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf79(X1) = hd(cons(skaf79(X1),X0)) ),
inference(resolution,[],[f97,f16]) ).
fof(f591,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf83(X1) = hd(cons(skaf83(X1),X0)) ),
inference(resolution,[],[f97,f12]) ).
fof(f580,plain,
sk2 = tl(cons(skac2,sk2)),
inference(resolution,[],[f488,f187]) ).
fof(f579,plain,
sk1 = tl(cons(skac2,sk1)),
inference(resolution,[],[f488,f186]) ).
fof(f584,plain,
sk2 = tl(cons(skac2,sk2)),
inference(forward_demodulation,[],[f582,f190]) ).
fof(f582,plain,
sk4 = tl(cons(skac2,sk4)),
inference(resolution,[],[f488,f189]) ).
fof(f583,plain,
sk1 = tl(cons(skac2,sk1)),
inference(forward_demodulation,[],[f581,f191]) ).
fof(f581,plain,
sk3 = tl(cons(skac2,sk3)),
inference(resolution,[],[f488,f188]) ).
fof(f578,plain,
! [X0] :
( tl(X0) = tl(cons(skac2,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f488,f75]) ).
fof(f577,plain,
! [X0,X1] :
( app(X0,X1) = tl(cons(skac2,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f488,f85]) ).
fof(f576,plain,
! [X0,X1] :
( cons(X0,X1) = tl(cons(skac2,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f488,f86]) ).
fof(f575,plain,
! [X0,X1] : skaf42(X0,X1) = tl(cons(skac2,skaf42(X0,X1))),
inference(resolution,[],[f488,f53]) ).
fof(f574,plain,
! [X0,X1] : skaf43(X0,X1) = tl(cons(skac2,skaf43(X0,X1))),
inference(resolution,[],[f488,f52]) ).
fof(f573,plain,
! [X0,X1] : skaf45(X0,X1) = tl(cons(skac2,skaf45(X0,X1))),
inference(resolution,[],[f488,f51]) ).
fof(f572,plain,
! [X0,X1] : skaf46(X0,X1) = tl(cons(skac2,skaf46(X0,X1))),
inference(resolution,[],[f488,f50]) ).
fof(f571,plain,
! [X0,X1] : skaf47(X0,X1) = tl(cons(skac2,skaf47(X0,X1))),
inference(resolution,[],[f488,f49]) ).
fof(f570,plain,
! [X0,X1] : skaf48(X0,X1) = tl(cons(skac2,skaf48(X0,X1))),
inference(resolution,[],[f488,f48]) ).
fof(f488,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac2,X0)) = X0 ),
inference(resolution,[],[f96,f10]) ).
fof(f505,plain,
nil = tl(cons(skac3,nil)),
inference(resolution,[],[f487,f8]) ).
fof(f537,plain,
sk2 = tl(cons(skac3,sk2)),
inference(resolution,[],[f487,f187]) ).
fof(f536,plain,
sk1 = tl(cons(skac3,sk1)),
inference(resolution,[],[f487,f186]) ).
fof(f541,plain,
sk2 = tl(cons(skac3,sk2)),
inference(forward_demodulation,[],[f539,f190]) ).
fof(f539,plain,
sk4 = tl(cons(skac3,sk4)),
inference(resolution,[],[f487,f189]) ).
fof(f540,plain,
sk1 = tl(cons(skac3,sk1)),
inference(forward_demodulation,[],[f538,f191]) ).
fof(f538,plain,
sk3 = tl(cons(skac3,sk3)),
inference(resolution,[],[f487,f188]) ).
fof(f535,plain,
! [X0] :
( tl(X0) = tl(cons(skac3,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f487,f75]) ).
fof(f534,plain,
! [X0,X1] :
( app(X0,X1) = tl(cons(skac3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f487,f85]) ).
fof(f533,plain,
! [X0,X1] :
( cons(X0,X1) = tl(cons(skac3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f487,f86]) ).
fof(f532,plain,
! [X0,X1] : skaf42(X0,X1) = tl(cons(skac3,skaf42(X0,X1))),
inference(resolution,[],[f487,f53]) ).
fof(f531,plain,
! [X0,X1] : skaf43(X0,X1) = tl(cons(skac3,skaf43(X0,X1))),
inference(resolution,[],[f487,f52]) ).
fof(f530,plain,
! [X0,X1] : skaf45(X0,X1) = tl(cons(skac3,skaf45(X0,X1))),
inference(resolution,[],[f487,f51]) ).
fof(f529,plain,
! [X0,X1] : skaf46(X0,X1) = tl(cons(skac3,skaf46(X0,X1))),
inference(resolution,[],[f487,f50]) ).
fof(f528,plain,
! [X0,X1] : skaf47(X0,X1) = tl(cons(skac3,skaf47(X0,X1))),
inference(resolution,[],[f487,f49]) ).
fof(f527,plain,
! [X0,X1] : skaf48(X0,X1) = tl(cons(skac3,skaf48(X0,X1))),
inference(resolution,[],[f487,f48]) ).
fof(f487,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac3,X0)) = X0 ),
inference(resolution,[],[f96,f9]) ).
fof(f504,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(hd(X1),X0)) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f96,f76]) ).
fof(f503,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf44(X1),X0)) = X0 ),
inference(resolution,[],[f96,f47]) ).
fof(f502,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf49(X1),X0)) = X0 ),
inference(resolution,[],[f96,f46]) ).
fof(f501,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf50(X1),X0)) = X0 ),
inference(resolution,[],[f96,f45]) ).
fof(f500,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf54(X1),X0)) = X0 ),
inference(resolution,[],[f96,f41]) ).
fof(f499,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf55(X1),X0)) = X0 ),
inference(resolution,[],[f96,f40]) ).
fof(f498,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf59(X1),X0)) = X0 ),
inference(resolution,[],[f96,f36]) ).
fof(f497,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf60(X1),X0)) = X0 ),
inference(resolution,[],[f96,f35]) ).
fof(f496,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf64(X1),X0)) = X0 ),
inference(resolution,[],[f96,f31]) ).
fof(f495,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf65(X1),X0)) = X0 ),
inference(resolution,[],[f96,f30]) ).
fof(f494,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf69(X1),X0)) = X0 ),
inference(resolution,[],[f96,f26]) ).
fof(f493,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf70(X1),X0)) = X0 ),
inference(resolution,[],[f96,f25]) ).
fof(f492,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf74(X1),X0)) = X0 ),
inference(resolution,[],[f96,f21]) ).
fof(f318,plain,
! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil),
inference(resolution,[],[f73,f49]) ).
fof(f317,plain,
! [X0,X1] : skaf48(X0,X1) = app(skaf48(X0,X1),nil),
inference(resolution,[],[f73,f48]) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
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(f88,axiom,
! [X0] :
( leq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f87,axiom,
! [X0] :
( leq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f433,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,X0),nil) ),
inference(resolution,[],[f86,f73]) ).
fof(f432,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(nil,cons(X1,X0)) ),
inference(resolution,[],[f86,f74]) ).
fof(f382,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(app(X0,X1),nil) ),
inference(resolution,[],[f85,f73]) ).
fof(f381,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(resolution,[],[f85,f74]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
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(f350,plain,
! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
inference(resolution,[],[f74,f44]) ).
fof(f349,plain,
! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
inference(resolution,[],[f74,f43]) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f348,plain,
! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
inference(resolution,[],[f74,f42]) ).
fof(f347,plain,
! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
inference(resolution,[],[f74,f39]) ).
fof(f346,plain,
! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
inference(resolution,[],[f74,f38]) ).
fof(f345,plain,
! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
inference(resolution,[],[f74,f37]) ).
fof(f344,plain,
! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
inference(resolution,[],[f74,f34]) ).
fof(f343,plain,
! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
inference(resolution,[],[f74,f33]) ).
fof(f342,plain,
! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
inference(resolution,[],[f74,f32]) ).
fof(f341,plain,
! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
inference(resolution,[],[f74,f29]) ).
fof(f340,plain,
! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
inference(resolution,[],[f74,f28]) ).
fof(f339,plain,
! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
inference(resolution,[],[f74,f27]) ).
fof(f338,plain,
! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
inference(resolution,[],[f74,f24]) ).
fof(f337,plain,
! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
inference(resolution,[],[f74,f23]) ).
fof(f336,plain,
! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
inference(resolution,[],[f74,f22]) ).
fof(f335,plain,
! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
inference(resolution,[],[f74,f20]) ).
fof(f334,plain,
! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
inference(resolution,[],[f74,f19]) ).
fof(f333,plain,
! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
inference(resolution,[],[f74,f18]) ).
fof(f332,plain,
! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
inference(resolution,[],[f74,f15]) ).
fof(f331,plain,
! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
inference(resolution,[],[f74,f14]) ).
fof(f330,plain,
! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
inference(resolution,[],[f74,f13]) ).
fof(f316,plain,
! [X0] : skaf51(X0) = app(skaf51(X0),nil),
inference(resolution,[],[f73,f44]) ).
fof(f315,plain,
! [X0] : skaf52(X0) = app(skaf52(X0),nil),
inference(resolution,[],[f73,f43]) ).
fof(f314,plain,
! [X0] : skaf53(X0) = app(skaf53(X0),nil),
inference(resolution,[],[f73,f42]) ).
fof(f313,plain,
! [X0] : skaf56(X0) = app(skaf56(X0),nil),
inference(resolution,[],[f73,f39]) ).
fof(f312,plain,
! [X0] : skaf57(X0) = app(skaf57(X0),nil),
inference(resolution,[],[f73,f38]) ).
fof(f311,plain,
! [X0] : skaf58(X0) = app(skaf58(X0),nil),
inference(resolution,[],[f73,f37]) ).
fof(f310,plain,
! [X0] : skaf61(X0) = app(skaf61(X0),nil),
inference(resolution,[],[f73,f34]) ).
fof(f309,plain,
! [X0] : skaf62(X0) = app(skaf62(X0),nil),
inference(resolution,[],[f73,f33]) ).
fof(f308,plain,
! [X0] : skaf63(X0) = app(skaf63(X0),nil),
inference(resolution,[],[f73,f32]) ).
fof(f307,plain,
! [X0] : skaf66(X0) = app(skaf66(X0),nil),
inference(resolution,[],[f73,f29]) ).
fof(f306,plain,
! [X0] : skaf67(X0) = app(skaf67(X0),nil),
inference(resolution,[],[f73,f28]) ).
fof(f305,plain,
! [X0] : skaf68(X0) = app(skaf68(X0),nil),
inference(resolution,[],[f73,f27]) ).
fof(f304,plain,
! [X0] : skaf71(X0) = app(skaf71(X0),nil),
inference(resolution,[],[f73,f24]) ).
fof(f303,plain,
! [X0] : skaf72(X0) = app(skaf72(X0),nil),
inference(resolution,[],[f73,f23]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f302,plain,
! [X0] : skaf73(X0) = app(skaf73(X0),nil),
inference(resolution,[],[f73,f22]) ).
fof(f301,plain,
! [X0] : skaf75(X0) = app(skaf75(X0),nil),
inference(resolution,[],[f73,f20]) ).
fof(f300,plain,
! [X0] : skaf76(X0) = app(skaf76(X0),nil),
inference(resolution,[],[f73,f19]) ).
fof(f299,plain,
! [X0] : skaf77(X0) = app(skaf77(X0),nil),
inference(resolution,[],[f73,f18]) ).
fof(f298,plain,
! [X0] : skaf80(X0) = app(skaf80(X0),nil),
inference(resolution,[],[f73,f15]) ).
fof(f297,plain,
! [X0] : skaf81(X0) = app(skaf81(X0),nil),
inference(resolution,[],[f73,f14]) ).
fof(f296,plain,
! [X0] : skaf82(X0) = app(skaf82(X0),nil),
inference(resolution,[],[f73,f13]) ).
fof(f358,plain,
sk2 = app(nil,sk2),
inference(resolution,[],[f74,f187]) ).
fof(f364,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f75,f73]) ).
fof(f363,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ),
inference(resolution,[],[f75,f74]) ).
fof(f362,plain,
sk2 = app(nil,sk2),
inference(forward_demodulation,[],[f360,f190]) ).
fof(f360,plain,
sk4 = app(nil,sk4),
inference(resolution,[],[f74,f189]) ).
fof(f361,plain,
sk1 = app(nil,sk1),
inference(forward_demodulation,[],[f359,f191]) ).
fof(f359,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f188]) ).
fof(f324,plain,
sk2 = app(sk2,nil),
inference(resolution,[],[f73,f187]) ).
fof(f323,plain,
sk1 = app(sk1,nil),
inference(resolution,[],[f73,f186]) ).
fof(f328,plain,
sk2 = app(sk2,nil),
inference(forward_demodulation,[],[f326,f190]) ).
fof(f326,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f189]) ).
fof(f327,plain,
sk1 = app(sk1,nil),
inference(forward_demodulation,[],[f325,f191]) ).
fof(f325,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(f285,plain,
( ~ singletonP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(subsumption_resolution,[],[f284,f232]) ).
fof(f284,plain,
( ~ neq(sk2,nil)
| ~ singletonP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(forward_demodulation,[],[f197,f190]) ).
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(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(f240,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f188,f186,f187,f189,f191,f190,f193,f232,f197,f195,f233,f199,f201,f234,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,f58,f56,f61,f60,f59,f57,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,f202,f235,f203,f236,f204,f237,f82,f80,f84,f76,f78,f77,f75,f109,f104,f231,f230,f110,f105,f107,f114,f106,f103,f108,f102,f157,f207,f208,f238,f209,f239,f169,f149,f229,f131,f168,f132,f100,f118,f119,f123,f133,f228,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f212,f213,f227]) ).
fof(f231,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f205]) ).
fof(f205,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(f229,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f210,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(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(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f59,axiom,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
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(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
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(f237,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f188,f186,f187,f189,f191,f190,f193,f232,f197,f195,f233,f199,f201,f234,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,f58,f56,f61,f60,f59,f57,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,f202,f235,f203,f236,f204]) ).
fof(f236,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f188,f186,f187,f189,f191,f190,f193,f232,f197,f195,f233,f199,f201,f234,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,f58,f56,f61,f60,f59,f57,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,f202,f235,f203]) ).
fof(f235,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f188,f186,f187,f189,f191,f190,f193,f232,f197,f195,f233,f199,f201,f234,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,f58,f56,f61,f60,f59,f57,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,f202]) ).
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(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
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(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(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(f225,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(f224,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(f223,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(f222,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(f221,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(f220,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(f218,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(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(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(f172,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ memberP(app(X0,X1),X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f216,plain,
! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(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] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
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] :
( ~ leq(X0,hd(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(X1)
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f160,axiom,
! [X0,X1] :
( ~ lt(X0,hd(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(X1)
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
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(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(f227,plain,
( ~ ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f215,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f214]) ).
fof(f214,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(f213,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(f212,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(f151,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X2,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f150,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X0,X2)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| ~ ssList(X1) ),
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(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(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(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] :
( ~ segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
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(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ 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] :
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f239,plain,
! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f188,f186,f187,f189,f191,f190,f193,f232,f197,f195,f233,f199,f201,f234,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,f58,f56,f61,f60,f59,f57,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,f202,f235,f203,f236,f204,f237,f82,f80,f84,f76,f78,f77,f75,f109,f104,f231,f230,f110,f105,f107,f114,f106,f103,f108,f102,f157,f207,f208,f238,f209]) ).
fof(f209,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(f238,plain,
! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f188,f186,f187,f189,f191,f190,f193,f232,f197,f195,f233,f199,f201,f234,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,f58,f56,f61,f60,f59,f57,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,f202,f235,f203,f236,f204,f237,f82,f80,f84,f76,f78,f77,f75,f109,f104,f231,f230,f110,f105,f107,f114,f106,f103,f108,f102,f157,f207,f208]) ).
fof(f208,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(f230,plain,
! [X1] :
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f206,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(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(f204,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(f203,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(f202,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(f234,plain,
neq(sk2,nil),
inference(global_subsumption,[],[f188,f186,f187,f189,f191,f190,f193,f232,f197,f195,f233,f199,f201]) ).
fof(f201,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ neq(nil,sk4)
| sk3 = cons(hd(sk4),nil)
| neq(sk2,nil) ),
inference(equality_resolution,[],[f200]) ).
fof(f200,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(f233,plain,
neq(sk2,nil),
inference(global_subsumption,[],[f188,f186,f187,f189,f191,f190,f193,f232,f197,f195]) ).
fof(f195,axiom,
( ~ singletonP(sk1)
| ~ segmentP(sk2,sk1)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f197,axiom,
( ~ singletonP(sk1)
| ~ segmentP(sk2,sk1)
| ~ neq(sk4,nil) ),
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(f1532,plain,
( spl0_13
| spl0_14
| ~ spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f1519,f1054,f1529,f1525,f1521]) ).
fof(f1519,plain,
( ~ strictorderedP(sk1)
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| spl0_6 ),
inference(subsumption_resolution,[],[f1518,f12]) ).
fof(f1518,plain,
( ~ strictorderedP(sk1)
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_6 ),
inference(subsumption_resolution,[],[f1514,f13]) ).
fof(f1514,plain,
( ~ strictorderedP(sk1)
| ~ ssList(skaf82(sk1))
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_6 ),
inference(superposition,[],[f124,f1137]) ).
fof(f1422,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f1421]) ).
fof(f1421,plain,
( $false
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1420,f8]) ).
fof(f1420,plain,
( ~ ssList(nil)
| ~ spl0_10 ),
inference(resolution,[],[f1404,f229]) ).
fof(f1404,plain,
( neq(nil,nil)
| ~ spl0_10 ),
inference(superposition,[],[f232,f1380]) ).
fof(f1380,plain,
( nil = sk2
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f1401,plain,
( spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1400]) ).
fof(f1400,plain,
( $false
| spl0_10
| spl0_11 ),
inference(subsumption_resolution,[],[f1399,f187]) ).
fof(f1399,plain,
( ~ ssList(sk2)
| spl0_10
| spl0_11 ),
inference(subsumption_resolution,[],[f1398,f1379]) ).
fof(f1398,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_11 ),
inference(resolution,[],[f1392,f76]) ).
fof(f1392,plain,
( ~ ssItem(hd(sk2))
| spl0_11 ),
inference(avatar_component_clause,[],[f1390]) ).
fof(f1397,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1388,f1374,f1394,f1390]) ).
fof(f1394,plain,
( spl0_12
<=> sk2 = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1388,plain,
( sk2 != tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1387,f187]) ).
fof(f1387,plain,
( sk2 != tl(sk2)
| ~ ssList(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_9 ),
inference(inner_rewriting,[],[f1383]) ).
fof(f1383,plain,
( sk2 != tl(sk2)
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| ~ spl0_9 ),
inference(superposition,[],[f99,f1376]) ).
fof(f1381,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f1035,f1378,f1374]) ).
fof(f1135,plain,
( spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1134]) ).
fof(f1134,plain,
( $false
| spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1133,f187]) ).
fof(f1133,plain,
( ~ ssList(sk2)
| spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f1081,f56]) ).
fof(f1081,plain,
( ~ segmentP(sk2,nil)
| spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f289,f1056]) ).
fof(f1077,plain,
( spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1076]) ).
fof(f1076,plain,
( $false
| spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f1075,f186]) ).
fof(f1075,plain,
( ~ ssList(sk1)
| spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f1074,f1055]) ).
fof(f1074,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_7 ),
inference(resolution,[],[f1068,f76]) ).
fof(f1068,plain,
( ~ ssItem(hd(sk1))
| spl0_7 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1073,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1064,f1050,f1070,f1066]) ).
fof(f1070,plain,
( spl0_8
<=> sk1 = tl(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1064,plain,
( sk1 != tl(sk1)
| ~ ssItem(hd(sk1))
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f1063,f186]) ).
fof(f1063,plain,
( sk1 != tl(sk1)
| ~ ssList(sk1)
| ~ ssItem(hd(sk1))
| ~ spl0_5 ),
inference(inner_rewriting,[],[f1059]) ).
fof(f1059,plain,
( sk1 != tl(sk1)
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| ~ spl0_5 ),
inference(superposition,[],[f99,f1052]) ).
fof(f1057,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f1034,f1054,f1050]) ).
fof(f294,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f285,f291,f287]) ).
fof(f249,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f72,f247,f244]) ).
fof(f244,plain,
( spl0_1
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f247,plain,
( spl0_2
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC382-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n024.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:31:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (8181)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (8184)WARNING: value z3 for option sas not known
% 0.16/0.39 % (8182)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.39 % (8185)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.39 % (8184)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)
% 0.16/0.39 % (8183)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39 % (8186)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)
% 0.16/0.39 % (8187)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)
% 0.16/0.39 % (8188)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)
% 0.16/0.40 TRYING [1]
% 0.16/0.40 TRYING [2]
% 0.16/0.41 TRYING [3]
% 0.22/0.44 TRYING [1]
% 0.22/0.45 TRYING [2]
% 0.22/0.47 TRYING [4]
% 0.22/0.53 TRYING [3]
% 2.01/0.64 TRYING [5]
% 2.59/0.74 % (8184)First to succeed.
% 2.59/0.75 % (8184)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8181"
% 2.59/0.75 % (8184)Refutation found. Thanks to Tanya!
% 2.59/0.75 % SZS status Unsatisfiable for theBenchmark
% 2.59/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 2.59/0.76 % (8184)------------------------------
% 2.59/0.76 % (8184)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.59/0.76 % (8184)Termination reason: Refutation
% 2.59/0.76
% 2.59/0.76 % (8184)Memory used [KB]: 5073
% 2.59/0.76 % (8184)Time elapsed: 0.364 s
% 2.59/0.76 % (8184)Instructions burned: 700 (million)
% 2.59/0.76 % (8181)Success in time 0.369 s
%------------------------------------------------------------------------------