TSTP Solution File: SWC070-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC070-1 : 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 : n013.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 09:54:36 EDT 2024
% Result : Unsatisfiable 1.41s 0.62s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 235
% Syntax : Number of formulae : 590 ( 133 unt; 0 def)
% Number of atoms : 1679 ( 397 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1916 ( 827 ~;1051 |; 0 &)
% ( 38 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 59 ( 57 usr; 39 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 7 con; 0-2 aty)
% Number of variables : 562 ( 562 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7576,plain,
$false,
inference(avatar_sat_refutation,[],[f244,f265,f414,f417,f684,f688,f703,f752,f779,f931,f935,f949,f959,f963,f1746,f1759,f1784,f1793,f1878,f3837,f3860,f6480,f6486,f6547,f6594,f7056,f7575]) ).
fof(f7575,plain,
( spl0_1
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f7574]) ).
fof(f7574,plain,
( $false
| spl0_1
| spl0_5 ),
inference(subsumption_resolution,[],[f7573,f187]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f7573,plain,
( ~ ssList(sk2)
| spl0_1
| spl0_5 ),
inference(forward_demodulation,[],[f7572,f2249]) ).
fof(f2249,plain,
( sk2 = app(sk1,skaf45(sk2,sk1))
| spl0_1 ),
inference(subsumption_resolution,[],[f2248,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f2248,plain,
( ~ ssList(sk1)
| sk2 = app(sk1,skaf45(sk2,sk1))
| spl0_1 ),
inference(subsumption_resolution,[],[f2239,f187]) ).
fof(f2239,plain,
( ~ ssList(sk2)
| ~ ssList(sk1)
| sk2 = app(sk1,skaf45(sk2,sk1))
| spl0_1 ),
inference(resolution,[],[f132,f251]) ).
fof(f251,plain,
( frontsegP(sk2,sk1)
| spl0_1 ),
inference(forward_demodulation,[],[f250,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f250,plain,
( frontsegP(sk4,sk1)
| spl0_1 ),
inference(forward_demodulation,[],[f249,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f249,plain,
( frontsegP(sk4,sk3)
| spl0_1 ),
inference(subsumption_resolution,[],[f248,f239]) ).
fof(f239,plain,
( nil != sk2
| spl0_1 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl0_1
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f248,plain,
( nil = sk2
| frontsegP(sk4,sk3) ),
inference(forward_demodulation,[],[f195,f190]) ).
fof(f195,axiom,
( nil = sk4
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
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(f7572,plain,
( ~ ssList(app(sk1,skaf45(sk2,sk1)))
| spl0_1
| spl0_5 ),
inference(subsumption_resolution,[],[f7571,f51]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f7571,plain,
( ~ ssList(app(sk1,skaf45(sk2,sk1)))
| ~ ssList(skaf45(sk2,sk1))
| spl0_1
| spl0_5 ),
inference(subsumption_resolution,[],[f7564,f409]) ).
fof(f409,plain,
( ~ segmentP(sk2,sk1)
| spl0_5 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f407,plain,
( spl0_5
<=> segmentP(sk2,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f7564,plain,
( segmentP(sk2,sk1)
| ~ ssList(app(sk1,skaf45(sk2,sk1)))
| ~ ssList(skaf45(sk2,sk1))
| spl0_1 ),
inference(superposition,[],[f7552,f2249]) ).
fof(f7552,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(sk1,X0))
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f7551,f328]) ).
fof(f328,plain,
sk1 = app(nil,sk1),
inference(resolution,[],[f74,f186]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f7551,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f7550,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f7550,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f7345,f186]) ).
fof(f7345,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(sk1)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f213,f328]) ).
fof(f213,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(f7056,plain,
( ~ spl0_37
| spl0_38
| spl0_1
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f7041,f6477,f237,f7053,f7049]) ).
fof(f7049,plain,
( spl0_37
<=> rearsegP(skaf48(sk1,sk1),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f7053,plain,
( spl0_38
<=> rearsegP(sk1,skaf45(sk2,sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f6477,plain,
( spl0_32
<=> rearsegP(sk1,skaf48(sk1,sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f7041,plain,
( rearsegP(sk1,skaf45(sk2,sk1))
| ~ rearsegP(skaf48(sk1,sk1),sk2)
| spl0_1
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f7040,f48]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f7040,plain,
( rearsegP(sk1,skaf45(sk2,sk1))
| ~ rearsegP(skaf48(sk1,sk1),sk2)
| ~ ssList(skaf48(sk1,sk1))
| spl0_1
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f7035,f51]) ).
fof(f7035,plain,
( ~ ssList(skaf45(sk2,sk1))
| rearsegP(sk1,skaf45(sk2,sk1))
| ~ rearsegP(skaf48(sk1,sk1),sk2)
| ~ ssList(skaf48(sk1,sk1))
| spl0_1
| ~ spl0_32 ),
inference(resolution,[],[f6966,f3431]) ).
fof(f3431,plain,
( ! [X0] :
( rearsegP(X0,skaf45(sk2,sk1))
| ~ rearsegP(X0,sk2)
| ~ ssList(X0) )
| spl0_1 ),
inference(subsumption_resolution,[],[f3430,f51]) ).
fof(f3430,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(skaf45(sk2,sk1))
| ~ rearsegP(X0,sk2)
| rearsegP(X0,skaf45(sk2,sk1)) )
| spl0_1 ),
inference(subsumption_resolution,[],[f3414,f187]) ).
fof(f3414,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(skaf45(sk2,sk1))
| ~ rearsegP(X0,sk2)
| rearsegP(X0,skaf45(sk2,sk1)) )
| spl0_1 ),
inference(resolution,[],[f153,f2257]) ).
fof(f2257,plain,
( rearsegP(sk2,skaf45(sk2,sk1))
| spl0_1 ),
inference(subsumption_resolution,[],[f2256,f186]) ).
fof(f2256,plain,
( rearsegP(sk2,skaf45(sk2,sk1))
| ~ ssList(sk1)
| spl0_1 ),
inference(subsumption_resolution,[],[f2251,f51]) ).
fof(f2251,plain,
( rearsegP(sk2,skaf45(sk2,sk1))
| ~ ssList(skaf45(sk2,sk1))
| ~ ssList(sk1)
| spl0_1 ),
inference(superposition,[],[f1929,f2249]) ).
fof(f1929,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f208,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f208,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(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(f6966,plain,
( ! [X0] :
( ~ rearsegP(skaf48(sk1,sk1),X0)
| ~ ssList(X0)
| rearsegP(sk1,X0) )
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f6965,f50]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f6965,plain,
( ! [X0] :
( rearsegP(sk1,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf48(sk1,sk1),X0)
| ~ ssList(skaf46(sk1,skaf48(sk1,sk1))) )
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f6952,f48]) ).
fof(f6952,plain,
( ! [X0] :
( rearsegP(sk1,X0)
| ~ ssList(skaf48(sk1,sk1))
| ~ ssList(X0)
| ~ rearsegP(skaf48(sk1,sk1),X0)
| ~ ssList(skaf46(sk1,skaf48(sk1,sk1))) )
| ~ spl0_32 ),
inference(superposition,[],[f136,f6493]) ).
fof(f6493,plain,
( sk1 = app(skaf46(sk1,skaf48(sk1,sk1)),skaf48(sk1,sk1))
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f6492,f48]) ).
fof(f6492,plain,
( ~ ssList(skaf48(sk1,sk1))
| sk1 = app(skaf46(sk1,skaf48(sk1,sk1)),skaf48(sk1,sk1))
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f6488,f186]) ).
fof(f6488,plain,
( ~ ssList(sk1)
| ~ ssList(skaf48(sk1,sk1))
| sk1 = app(skaf46(sk1,skaf48(sk1,sk1)),skaf48(sk1,sk1))
| ~ spl0_32 ),
inference(resolution,[],[f6479,f131]) ).
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(f6479,plain,
( rearsegP(sk1,skaf48(sk1,sk1))
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f6477]) ).
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(f6594,plain,
( spl0_35
| ~ spl0_36
| spl0_1
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f6538,f6477,f237,f6591,f6587]) ).
fof(f6587,plain,
( spl0_35
<=> rearsegP(sk2,skaf48(sk1,sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f6591,plain,
( spl0_36
<=> rearsegP(skaf45(sk2,sk1),sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f6538,plain,
( ~ rearsegP(skaf45(sk2,sk1),sk1)
| rearsegP(sk2,skaf48(sk1,sk1))
| spl0_1
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f6537,f48]) ).
fof(f6537,plain,
( ~ rearsegP(skaf45(sk2,sk1),sk1)
| ~ ssList(skaf48(sk1,sk1))
| rearsegP(sk2,skaf48(sk1,sk1))
| spl0_1
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f6530,f51]) ).
fof(f6530,plain,
( ~ rearsegP(skaf45(sk2,sk1),sk1)
| ~ ssList(skaf45(sk2,sk1))
| ~ ssList(skaf48(sk1,sk1))
| rearsegP(sk2,skaf48(sk1,sk1))
| spl0_1
| ~ spl0_32 ),
inference(resolution,[],[f6491,f2445]) ).
fof(f2445,plain,
( ! [X0] :
( ~ rearsegP(skaf45(sk2,sk1),X0)
| ~ ssList(X0)
| rearsegP(sk2,X0) )
| spl0_1 ),
inference(subsumption_resolution,[],[f2444,f186]) ).
fof(f2444,plain,
( ! [X0] :
( rearsegP(sk2,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(sk2,sk1),X0)
| ~ ssList(sk1) )
| spl0_1 ),
inference(subsumption_resolution,[],[f2370,f51]) ).
fof(f2370,plain,
( ! [X0] :
( rearsegP(sk2,X0)
| ~ ssList(skaf45(sk2,sk1))
| ~ ssList(X0)
| ~ rearsegP(skaf45(sk2,sk1),X0)
| ~ ssList(sk1) )
| spl0_1 ),
inference(superposition,[],[f136,f2249]) ).
fof(f6491,plain,
( ! [X0] :
( rearsegP(X0,skaf48(sk1,sk1))
| ~ rearsegP(X0,sk1)
| ~ ssList(X0) )
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f6490,f48]) ).
fof(f6490,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(skaf48(sk1,sk1))
| ~ rearsegP(X0,sk1)
| rearsegP(X0,skaf48(sk1,sk1)) )
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f6487,f186]) ).
fof(f6487,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(skaf48(sk1,sk1))
| ~ rearsegP(X0,sk1)
| rearsegP(X0,skaf48(sk1,sk1)) )
| ~ spl0_32 ),
inference(resolution,[],[f6479,f153]) ).
fof(f6547,plain,
( spl0_33
| ~ spl0_34
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f6495,f6477,f6544,f6540]) ).
fof(f6540,plain,
( spl0_33
<=> sk1 = skaf48(sk1,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f6544,plain,
( spl0_34
<=> rearsegP(skaf48(sk1,sk1),sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f6495,plain,
( ~ rearsegP(skaf48(sk1,sk1),sk1)
| sk1 = skaf48(sk1,sk1)
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f6494,f186]) ).
fof(f6494,plain,
( ~ ssList(sk1)
| ~ rearsegP(skaf48(sk1,sk1),sk1)
| sk1 = skaf48(sk1,sk1)
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f6489,f48]) ).
fof(f6489,plain,
( ~ ssList(skaf48(sk1,sk1))
| ~ ssList(sk1)
| ~ rearsegP(skaf48(sk1,sk1),sk1)
| sk1 = skaf48(sk1,sk1)
| ~ spl0_32 ),
inference(resolution,[],[f6479,f128]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f6486,plain,
spl0_31,
inference(avatar_contradiction_clause,[],[f6485]) ).
fof(f6485,plain,
( $false
| spl0_31 ),
inference(subsumption_resolution,[],[f6484,f186]) ).
fof(f6484,plain,
( ~ ssList(sk1)
| spl0_31 ),
inference(subsumption_resolution,[],[f6483,f49]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f6483,plain,
( ~ ssList(skaf47(sk1,sk1))
| ~ ssList(sk1)
| spl0_31 ),
inference(resolution,[],[f6475,f85]) ).
fof(f6475,plain,
( ~ ssList(app(skaf47(sk1,sk1),sk1))
| spl0_31 ),
inference(avatar_component_clause,[],[f6473]) ).
fof(f6473,plain,
( spl0_31
<=> ssList(app(skaf47(sk1,sk1),sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f6480,plain,
( ~ spl0_31
| spl0_32
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f6318,f411,f6477,f6473]) ).
fof(f411,plain,
( spl0_6
<=> segmentP(sk1,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f6318,plain,
( rearsegP(sk1,skaf48(sk1,sk1))
| ~ ssList(app(skaf47(sk1,sk1),sk1))
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f6307,f48]) ).
fof(f6307,plain,
( rearsegP(sk1,skaf48(sk1,sk1))
| ~ ssList(skaf48(sk1,sk1))
| ~ ssList(app(skaf47(sk1,sk1),sk1))
| ~ spl0_6 ),
inference(superposition,[],[f1929,f6278]) ).
fof(f6278,plain,
( sk1 = app(app(skaf47(sk1,sk1),sk1),skaf48(sk1,sk1))
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f6270,f186]) ).
fof(f6270,plain,
( ~ ssList(sk1)
| sk1 = app(app(skaf47(sk1,sk1),sk1),skaf48(sk1,sk1))
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f6269]) ).
fof(f6269,plain,
( ~ ssList(sk1)
| ~ ssList(sk1)
| sk1 = app(app(skaf47(sk1,sk1),sk1),skaf48(sk1,sk1))
| ~ spl0_6 ),
inference(resolution,[],[f168,f412]) ).
fof(f412,plain,
( segmentP(sk1,sk1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f411]) ).
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(f3860,plain,
( spl0_29
| ~ spl0_30
| spl0_1 ),
inference(avatar_split_clause,[],[f3848,f237,f3857,f3853]) ).
fof(f3853,plain,
( spl0_29
<=> nil = skaf45(sk2,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f3857,plain,
( spl0_30
<=> rearsegP(nil,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f3848,plain,
( ~ rearsegP(nil,sk2)
| nil = skaf45(sk2,sk1)
| spl0_1 ),
inference(subsumption_resolution,[],[f3847,f51]) ).
fof(f3847,plain,
( ~ rearsegP(nil,sk2)
| ~ ssList(skaf45(sk2,sk1))
| nil = skaf45(sk2,sk1)
| spl0_1 ),
inference(subsumption_resolution,[],[f3838,f8]) ).
fof(f3838,plain,
( ~ rearsegP(nil,sk2)
| ~ ssList(nil)
| ~ ssList(skaf45(sk2,sk1))
| nil = skaf45(sk2,sk1)
| spl0_1 ),
inference(resolution,[],[f3431,f82]) ).
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f3837,plain,
( spl0_27
| ~ spl0_28
| spl0_1 ),
inference(avatar_split_clause,[],[f2263,f237,f3834,f3830]) ).
fof(f3830,plain,
( spl0_27
<=> sk2 = skaf45(sk2,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f3834,plain,
( spl0_28
<=> rearsegP(skaf45(sk2,sk1),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f2263,plain,
( ~ rearsegP(skaf45(sk2,sk1),sk2)
| sk2 = skaf45(sk2,sk1)
| spl0_1 ),
inference(subsumption_resolution,[],[f2262,f187]) ).
fof(f2262,plain,
( ~ ssList(sk2)
| ~ rearsegP(skaf45(sk2,sk1),sk2)
| sk2 = skaf45(sk2,sk1)
| spl0_1 ),
inference(subsumption_resolution,[],[f2259,f51]) ).
fof(f2259,plain,
( ~ ssList(skaf45(sk2,sk1))
| ~ ssList(sk2)
| ~ rearsegP(skaf45(sk2,sk1),sk2)
| sk2 = skaf45(sk2,sk1)
| spl0_1 ),
inference(resolution,[],[f2257,f128]) ).
fof(f1878,plain,
( spl0_25
| ~ spl0_26
| spl0_1 ),
inference(avatar_split_clause,[],[f1869,f237,f1875,f1871]) ).
fof(f1871,plain,
( spl0_25
<=> sk1 = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1875,plain,
( spl0_26
<=> frontsegP(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1869,plain,
( ~ frontsegP(sk1,sk2)
| sk1 = sk2
| spl0_1 ),
inference(subsumption_resolution,[],[f1868,f187]) ).
fof(f1868,plain,
( ~ ssList(sk2)
| ~ frontsegP(sk1,sk2)
| sk1 = sk2
| spl0_1 ),
inference(subsumption_resolution,[],[f1864,f186]) ).
fof(f1864,plain,
( ~ ssList(sk1)
| ~ ssList(sk2)
| ~ frontsegP(sk1,sk2)
| sk1 = sk2
| spl0_1 ),
inference(resolution,[],[f129,f251]) ).
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(f1793,plain,
( spl0_23
| ~ spl0_24
| spl0_1
| ~ spl0_9
| ~ spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f1771,f1748,f952,f696,f237,f1790,f1786]) ).
fof(f1786,plain,
( spl0_23
<=> totalorderedP(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1790,plain,
( spl0_24
<=> totalorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f696,plain,
( spl0_9
<=> ssList(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f952,plain,
( spl0_13
<=> ssItem(hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1748,plain,
( spl0_18
<=> nil = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1771,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| spl0_1
| ~ spl0_9
| ~ spl0_13
| spl0_18 ),
inference(subsumption_resolution,[],[f1770,f953]) ).
fof(f953,plain,
( ssItem(hd(sk2))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f1770,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| ~ ssItem(hd(sk2))
| spl0_1
| ~ spl0_9
| spl0_18 ),
inference(subsumption_resolution,[],[f1769,f1749]) ).
fof(f1749,plain,
( nil != tl(sk2)
| spl0_18 ),
inference(avatar_component_clause,[],[f1748]) ).
fof(f1769,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_1
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1762,f697]) ).
fof(f697,plain,
( ssList(tl(sk2))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f1762,plain,
( ~ totalorderedP(sk2)
| ~ ssList(tl(sk2))
| totalorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_1 ),
inference(superposition,[],[f125,f782]) ).
fof(f782,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| spl0_1 ),
inference(global_subsumption,[],[f194,f195,f196,f197,f120,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f77,f226,f157,f204,f231,f205,f232,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f208,f209,f223,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f212,f158,f172,f213,f153,f152,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f228,f229,f230,f48,f49,f50,f51,f52,f53,f193,f239,f247,f251,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f225,f227,f233,f64,f65,f66,f67,f68,f69,f70,f72,f73,f298,f299,f294,f295,f74,f332,f333,f328,f329,f267,f268,f75,f334,f335,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f287,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f80,f82,f84,f85,f351,f352,f192,f405,f87,f88,f89,f90,f91,f92,f93,f94,f95,f288,f289,f100,f101,f513,f541,f290,f291,f292,f293,f322,f323,f324,f325,f326,f327,f104,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f649,f650,f663,f657,f109,f705,f706,f707,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f733,f734,f742,f748,f754,f737,f757,f764,f203,f114,f110,f108,f107,f106,f105,f103,f102,f97,f96,f224,f99,f98,f86,f78,f76,f762,f540,f781,f652]) ).
fof(f652,plain,
( nil = sk2
| sk2 = cons(hd(sk2),tl(sk2)) ),
inference(resolution,[],[f104,f187]) ).
fof(f781,plain,
( ~ segmentP(sk1,sk2)
| spl0_1 ),
inference(global_subsumption,[],[f194,f195,f196,f197,f120,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f77,f226,f157,f204,f231,f205,f232,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f208,f209,f223,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f212,f158,f172,f213,f153,f152,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f228,f229,f230,f48,f49,f50,f51,f52,f53,f193,f239,f247,f251,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f225,f227,f233,f64,f65,f66,f67,f68,f69,f70,f72,f73,f298,f299,f294,f295,f74,f332,f333,f328,f329,f267,f268,f75,f334,f335,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f287,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f80,f82,f84,f85,f351,f352,f192,f405,f87,f88,f89,f90,f91,f92,f93,f94,f95,f288,f289,f100,f101,f513,f541,f290,f291,f292,f293,f322,f323,f324,f325,f326,f327,f104,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f649,f650,f663,f657,f109,f705,f706,f707,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f733,f734,f742,f748,f754,f737,f757,f652,f764,f203,f114,f110,f108,f107,f106,f105,f103,f102,f97,f96,f224,f99,f98,f86,f78,f76,f762,f540]) ).
fof(f540,plain,
( ~ segmentP(sk1,sk2)
| nil = sk2 ),
inference(subsumption_resolution,[],[f539,f187]) ).
fof(f539,plain,
( ~ ssList(sk2)
| ~ segmentP(sk1,sk2)
| nil = sk2 ),
inference(duplicate_literal_removal,[],[f538]) ).
fof(f538,plain,
( ~ ssList(sk2)
| ~ segmentP(sk1,sk2)
| nil = sk2
| ~ ssList(sk2) ),
inference(resolution,[],[f513,f57]) ).
fof(f762,plain,
( frontsegP(sk2,sk1)
| nil = sk2 ),
inference(forward_demodulation,[],[f761,f190]) ).
fof(f761,plain,
( frontsegP(sk4,sk1)
| nil = sk2 ),
inference(forward_demodulation,[],[f248,f191]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f78,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f224,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,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(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f102,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X0)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f103,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f105,axiom,
! [X0,X1] :
( ~ gt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f106,axiom,
! [X0,X1] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,axiom,
! [X0,X1] :
( leq(X1,X0)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,axiom,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| geq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f110,axiom,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f114,axiom,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f203,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(f764,plain,
( neq(sk1,nil)
| nil = sk2 ),
inference(forward_demodulation,[],[f245,f191]) ).
fof(f245,plain,
( nil = sk2
| neq(sk3,nil) ),
inference(forward_demodulation,[],[f194,f190]) ).
fof(f757,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| nil = sk2 ),
inference(forward_demodulation,[],[f661,f190]) ).
fof(f661,plain,
( nil = sk2
| sk4 = cons(hd(sk4),tl(sk4)) ),
inference(forward_demodulation,[],[f654,f190]) ).
fof(f654,plain,
( nil = sk4
| sk4 = cons(hd(sk4),tl(sk4)) ),
inference(resolution,[],[f104,f189]) ).
fof(f737,plain,
( nil = sk2
| sk2 = cons(skaf83(sk2),skaf82(sk2)) ),
inference(resolution,[],[f109,f187]) ).
fof(f754,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| nil = sk2 ),
inference(forward_demodulation,[],[f746,f190]) ).
fof(f746,plain,
( nil = sk2
| sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
inference(forward_demodulation,[],[f739,f190]) ).
fof(f739,plain,
( nil = sk4
| sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
inference(resolution,[],[f109,f189]) ).
fof(f748,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| spl0_1 ),
inference(forward_demodulation,[],[f747,f190]) ).
fof(f747,plain,
( sk4 = cons(skaf83(sk4),skaf82(sk4))
| spl0_1 ),
inference(subsumption_resolution,[],[f746,f239]) ).
fof(f742,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| spl0_1 ),
inference(subsumption_resolution,[],[f737,f239]) ).
fof(f734,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(skaf83(tl(X0)),skaf82(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f109,f75]) ).
fof(f733,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(f731,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(skaf83(skaf42(X0,X1)),skaf82(skaf42(X0,X1))) ),
inference(resolution,[],[f109,f53]) ).
fof(f730,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(skaf83(skaf43(X0,X1)),skaf82(skaf43(X0,X1))) ),
inference(resolution,[],[f109,f52]) ).
fof(f729,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(skaf83(skaf45(X0,X1)),skaf82(skaf45(X0,X1))) ),
inference(resolution,[],[f109,f51]) ).
fof(f728,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(skaf83(skaf46(X0,X1)),skaf82(skaf46(X0,X1))) ),
inference(resolution,[],[f109,f50]) ).
fof(f727,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(skaf83(skaf47(X0,X1)),skaf82(skaf47(X0,X1))) ),
inference(resolution,[],[f109,f49]) ).
fof(f726,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(skaf83(skaf48(X0,X1)),skaf82(skaf48(X0,X1))) ),
inference(resolution,[],[f109,f48]) ).
fof(f725,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(skaf83(skaf51(X0)),skaf82(skaf51(X0))) ),
inference(resolution,[],[f109,f44]) ).
fof(f724,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(skaf83(skaf52(X0)),skaf82(skaf52(X0))) ),
inference(resolution,[],[f109,f43]) ).
fof(f723,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(skaf83(skaf53(X0)),skaf82(skaf53(X0))) ),
inference(resolution,[],[f109,f42]) ).
fof(f722,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(skaf83(skaf56(X0)),skaf82(skaf56(X0))) ),
inference(resolution,[],[f109,f39]) ).
fof(f721,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(skaf83(skaf57(X0)),skaf82(skaf57(X0))) ),
inference(resolution,[],[f109,f38]) ).
fof(f720,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(skaf83(skaf58(X0)),skaf82(skaf58(X0))) ),
inference(resolution,[],[f109,f37]) ).
fof(f719,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(skaf83(skaf61(X0)),skaf82(skaf61(X0))) ),
inference(resolution,[],[f109,f34]) ).
fof(f718,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(skaf83(skaf62(X0)),skaf82(skaf62(X0))) ),
inference(resolution,[],[f109,f33]) ).
fof(f717,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(skaf83(skaf63(X0)),skaf82(skaf63(X0))) ),
inference(resolution,[],[f109,f32]) ).
fof(f716,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(skaf83(skaf66(X0)),skaf82(skaf66(X0))) ),
inference(resolution,[],[f109,f29]) ).
fof(f715,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(skaf83(skaf67(X0)),skaf82(skaf67(X0))) ),
inference(resolution,[],[f109,f28]) ).
fof(f714,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(skaf83(skaf68(X0)),skaf82(skaf68(X0))) ),
inference(resolution,[],[f109,f27]) ).
fof(f713,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(skaf83(skaf71(X0)),skaf82(skaf71(X0))) ),
inference(resolution,[],[f109,f24]) ).
fof(f712,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(skaf83(skaf72(X0)),skaf82(skaf72(X0))) ),
inference(resolution,[],[f109,f23]) ).
fof(f711,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(skaf83(skaf73(X0)),skaf82(skaf73(X0))) ),
inference(resolution,[],[f109,f22]) ).
fof(f710,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(skaf83(skaf75(X0)),skaf82(skaf75(X0))) ),
inference(resolution,[],[f109,f20]) ).
fof(f709,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(skaf83(skaf76(X0)),skaf82(skaf76(X0))) ),
inference(resolution,[],[f109,f19]) ).
fof(f708,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(skaf83(skaf77(X0)),skaf82(skaf77(X0))) ),
inference(resolution,[],[f109,f18]) ).
fof(f707,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(skaf83(skaf80(X0)),skaf82(skaf80(X0))) ),
inference(resolution,[],[f109,f15]) ).
fof(f706,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(skaf83(skaf81(X0)),skaf82(skaf81(X0))) ),
inference(resolution,[],[f109,f14]) ).
fof(f705,plain,
! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(skaf83(skaf82(X0)),skaf82(skaf82(X0))) ),
inference(resolution,[],[f109,f13]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f657,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| spl0_1 ),
inference(subsumption_resolution,[],[f652,f239]) ).
fof(f663,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| spl0_1 ),
inference(forward_demodulation,[],[f662,f190]) ).
fof(f662,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| spl0_1 ),
inference(subsumption_resolution,[],[f661,f239]) ).
fof(f650,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f104,f75]) ).
fof(f649,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(f647,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(hd(skaf42(X0,X1)),tl(skaf42(X0,X1))) ),
inference(resolution,[],[f104,f53]) ).
fof(f646,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(hd(skaf43(X0,X1)),tl(skaf43(X0,X1))) ),
inference(resolution,[],[f104,f52]) ).
fof(f645,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(hd(skaf45(X0,X1)),tl(skaf45(X0,X1))) ),
inference(resolution,[],[f104,f51]) ).
fof(f644,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(hd(skaf46(X0,X1)),tl(skaf46(X0,X1))) ),
inference(resolution,[],[f104,f50]) ).
fof(f643,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(hd(skaf47(X0,X1)),tl(skaf47(X0,X1))) ),
inference(resolution,[],[f104,f49]) ).
fof(f642,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(hd(skaf48(X0,X1)),tl(skaf48(X0,X1))) ),
inference(resolution,[],[f104,f48]) ).
fof(f641,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(hd(skaf51(X0)),tl(skaf51(X0))) ),
inference(resolution,[],[f104,f44]) ).
fof(f640,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(hd(skaf52(X0)),tl(skaf52(X0))) ),
inference(resolution,[],[f104,f43]) ).
fof(f639,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(hd(skaf53(X0)),tl(skaf53(X0))) ),
inference(resolution,[],[f104,f42]) ).
fof(f638,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(hd(skaf56(X0)),tl(skaf56(X0))) ),
inference(resolution,[],[f104,f39]) ).
fof(f637,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(hd(skaf57(X0)),tl(skaf57(X0))) ),
inference(resolution,[],[f104,f38]) ).
fof(f636,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(hd(skaf58(X0)),tl(skaf58(X0))) ),
inference(resolution,[],[f104,f37]) ).
fof(f635,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(hd(skaf61(X0)),tl(skaf61(X0))) ),
inference(resolution,[],[f104,f34]) ).
fof(f634,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(hd(skaf62(X0)),tl(skaf62(X0))) ),
inference(resolution,[],[f104,f33]) ).
fof(f633,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(hd(skaf63(X0)),tl(skaf63(X0))) ),
inference(resolution,[],[f104,f32]) ).
fof(f632,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(hd(skaf66(X0)),tl(skaf66(X0))) ),
inference(resolution,[],[f104,f29]) ).
fof(f631,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(hd(skaf67(X0)),tl(skaf67(X0))) ),
inference(resolution,[],[f104,f28]) ).
fof(f630,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(hd(skaf68(X0)),tl(skaf68(X0))) ),
inference(resolution,[],[f104,f27]) ).
fof(f629,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(hd(skaf71(X0)),tl(skaf71(X0))) ),
inference(resolution,[],[f104,f24]) ).
fof(f628,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(hd(skaf72(X0)),tl(skaf72(X0))) ),
inference(resolution,[],[f104,f23]) ).
fof(f627,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(hd(skaf73(X0)),tl(skaf73(X0))) ),
inference(resolution,[],[f104,f22]) ).
fof(f626,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(hd(skaf75(X0)),tl(skaf75(X0))) ),
inference(resolution,[],[f104,f20]) ).
fof(f625,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(hd(skaf76(X0)),tl(skaf76(X0))) ),
inference(resolution,[],[f104,f19]) ).
fof(f624,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(hd(skaf77(X0)),tl(skaf77(X0))) ),
inference(resolution,[],[f104,f18]) ).
fof(f623,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(hd(skaf80(X0)),tl(skaf80(X0))) ),
inference(resolution,[],[f104,f15]) ).
fof(f622,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(hd(skaf81(X0)),tl(skaf81(X0))) ),
inference(resolution,[],[f104,f14]) ).
fof(f621,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(f327,plain,
! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
inference(resolution,[],[f74,f53]) ).
fof(f326,plain,
! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
inference(resolution,[],[f74,f52]) ).
fof(f325,plain,
! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
inference(resolution,[],[f74,f51]) ).
fof(f324,plain,
! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
inference(resolution,[],[f74,f50]) ).
fof(f323,plain,
! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
inference(resolution,[],[f74,f49]) ).
fof(f322,plain,
! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)),
inference(resolution,[],[f74,f48]) ).
fof(f293,plain,
! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil),
inference(resolution,[],[f73,f53]) ).
fof(f292,plain,
! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil),
inference(resolution,[],[f73,f52]) ).
fof(f291,plain,
! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil),
inference(resolution,[],[f73,f51]) ).
fof(f290,plain,
! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
inference(resolution,[],[f73,f50]) ).
fof(f541,plain,
( ~ segmentP(sk1,sk2)
| spl0_1 ),
inference(subsumption_resolution,[],[f540,f239]) ).
fof(f513,plain,
! [X0] :
( ~ segmentP(sk2,X0)
| ~ ssList(X0)
| ~ segmentP(sk1,X0)
| nil = X0 ),
inference(subsumption_resolution,[],[f510,f8]) ).
fof(f510,plain,
! [X0] :
( ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0) ),
inference(duplicate_literal_removal,[],[f509]) ).
fof(f509,plain,
! [X0] :
( ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| ~ ssList(X0)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0) ),
inference(resolution,[],[f100,f192]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f289,plain,
! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil),
inference(resolution,[],[f73,f49]) ).
fof(f288,plain,
! [X0,X1] : skaf48(X0,X1) = app(skaf48(X0,X1),nil),
inference(resolution,[],[f73,f48]) ).
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(f405,plain,
( ~ segmentP(sk1,sk1)
| ~ segmentP(sk2,sk1)
| spl0_1 ),
inference(subsumption_resolution,[],[f404,f186]) ).
fof(f404,plain,
( ~ ssList(sk1)
| ~ segmentP(sk1,sk1)
| ~ segmentP(sk2,sk1)
| spl0_1 ),
inference(resolution,[],[f192,f247]) ).
fof(f192,axiom,
! [X6] :
( ~ neq(X6,nil)
| ~ ssList(X6)
| ~ segmentP(sk1,X6)
| ~ segmentP(sk2,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f352,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(app(X0,X1),nil) ),
inference(resolution,[],[f85,f73]) ).
fof(f351,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(resolution,[],[f85,f74]) ).
fof(f84,axiom,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f321,plain,
! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
inference(resolution,[],[f74,f44]) ).
fof(f320,plain,
! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
inference(resolution,[],[f74,f43]) ).
fof(f319,plain,
! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
inference(resolution,[],[f74,f42]) ).
fof(f318,plain,
! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
inference(resolution,[],[f74,f39]) ).
fof(f317,plain,
! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
inference(resolution,[],[f74,f38]) ).
fof(f316,plain,
! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
inference(resolution,[],[f74,f37]) ).
fof(f315,plain,
! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
inference(resolution,[],[f74,f34]) ).
fof(f314,plain,
! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
inference(resolution,[],[f74,f33]) ).
fof(f313,plain,
! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
inference(resolution,[],[f74,f32]) ).
fof(f312,plain,
! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
inference(resolution,[],[f74,f29]) ).
fof(f311,plain,
! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
inference(resolution,[],[f74,f28]) ).
fof(f310,plain,
! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
inference(resolution,[],[f74,f27]) ).
fof(f309,plain,
! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
inference(resolution,[],[f74,f24]) ).
fof(f308,plain,
! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
inference(resolution,[],[f74,f23]) ).
fof(f307,plain,
! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
inference(resolution,[],[f74,f22]) ).
fof(f306,plain,
! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
inference(resolution,[],[f74,f20]) ).
fof(f305,plain,
! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
inference(resolution,[],[f74,f19]) ).
fof(f304,plain,
! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
inference(resolution,[],[f74,f18]) ).
fof(f303,plain,
! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
inference(resolution,[],[f74,f15]) ).
fof(f302,plain,
! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
inference(resolution,[],[f74,f14]) ).
fof(f301,plain,
! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
inference(resolution,[],[f74,f13]) ).
fof(f287,plain,
! [X0] : skaf51(X0) = app(skaf51(X0),nil),
inference(resolution,[],[f73,f44]) ).
fof(f286,plain,
! [X0] : skaf52(X0) = app(skaf52(X0),nil),
inference(resolution,[],[f73,f43]) ).
fof(f285,plain,
! [X0] : skaf53(X0) = app(skaf53(X0),nil),
inference(resolution,[],[f73,f42]) ).
fof(f284,plain,
! [X0] : skaf56(X0) = app(skaf56(X0),nil),
inference(resolution,[],[f73,f39]) ).
fof(f283,plain,
! [X0] : skaf57(X0) = app(skaf57(X0),nil),
inference(resolution,[],[f73,f38]) ).
fof(f282,plain,
! [X0] : skaf58(X0) = app(skaf58(X0),nil),
inference(resolution,[],[f73,f37]) ).
fof(f281,plain,
! [X0] : skaf61(X0) = app(skaf61(X0),nil),
inference(resolution,[],[f73,f34]) ).
fof(f280,plain,
! [X0] : skaf62(X0) = app(skaf62(X0),nil),
inference(resolution,[],[f73,f33]) ).
fof(f279,plain,
! [X0] : skaf63(X0) = app(skaf63(X0),nil),
inference(resolution,[],[f73,f32]) ).
fof(f278,plain,
! [X0] : skaf66(X0) = app(skaf66(X0),nil),
inference(resolution,[],[f73,f29]) ).
fof(f277,plain,
! [X0] : skaf67(X0) = app(skaf67(X0),nil),
inference(resolution,[],[f73,f28]) ).
fof(f276,plain,
! [X0] : skaf68(X0) = app(skaf68(X0),nil),
inference(resolution,[],[f73,f27]) ).
fof(f275,plain,
! [X0] : skaf71(X0) = app(skaf71(X0),nil),
inference(resolution,[],[f73,f24]) ).
fof(f274,plain,
! [X0] : skaf72(X0) = app(skaf72(X0),nil),
inference(resolution,[],[f73,f23]) ).
fof(f273,plain,
! [X0] : skaf73(X0) = app(skaf73(X0),nil),
inference(resolution,[],[f73,f22]) ).
fof(f272,plain,
! [X0] : skaf75(X0) = app(skaf75(X0),nil),
inference(resolution,[],[f73,f20]) ).
fof(f271,plain,
! [X0] : skaf76(X0) = app(skaf76(X0),nil),
inference(resolution,[],[f73,f19]) ).
fof(f270,plain,
! [X0] : skaf77(X0) = app(skaf77(X0),nil),
inference(resolution,[],[f73,f18]) ).
fof(f269,plain,
! [X0] : skaf80(X0) = app(skaf80(X0),nil),
inference(resolution,[],[f73,f15]) ).
fof(f335,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f75,f73]) ).
fof(f334,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ),
inference(resolution,[],[f75,f74]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f268,plain,
! [X0] : skaf81(X0) = app(skaf81(X0),nil),
inference(resolution,[],[f73,f14]) ).
fof(f267,plain,
! [X0] : skaf82(X0) = app(skaf82(X0),nil),
inference(resolution,[],[f73,f13]) ).
fof(f329,plain,
sk2 = app(nil,sk2),
inference(resolution,[],[f74,f187]) ).
fof(f333,plain,
sk2 = app(nil,sk2),
inference(forward_demodulation,[],[f331,f190]) ).
fof(f331,plain,
sk4 = app(nil,sk4),
inference(resolution,[],[f74,f189]) ).
fof(f332,plain,
sk1 = app(nil,sk1),
inference(forward_demodulation,[],[f330,f191]) ).
fof(f330,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f188]) ).
fof(f295,plain,
sk2 = app(sk2,nil),
inference(resolution,[],[f73,f187]) ).
fof(f294,plain,
sk1 = app(sk1,nil),
inference(resolution,[],[f73,f186]) ).
fof(f299,plain,
sk2 = app(sk2,nil),
inference(forward_demodulation,[],[f297,f190]) ).
fof(f297,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f189]) ).
fof(f298,plain,
sk1 = app(sk1,nil),
inference(forward_demodulation,[],[f296,f191]) ).
fof(f296,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f188]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f70,axiom,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f69,axiom,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f68,axiom,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f65,axiom,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f64,axiom,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f233,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f186,f187,f189,f188,f190,f191,f193,f194,f195,f196,f197,f192,f11,f1,f2,f6,f7,f5,f4,f3,f9,f10,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,f198,f228,f199,f229,f200,f230,f82,f80,f84,f76,f78,f77,f75,f109,f104,f227,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f203,f204,f231,f205,f232,f169,f149,f225,f131,f168,f132,f100,f118,f119,f123,f133,f224,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f208,f209,f223]) ).
fof(f227,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f201]) ).
fof(f201,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(f225,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f206,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(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
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(f247,plain,
( neq(sk1,nil)
| spl0_1 ),
inference(forward_demodulation,[],[f246,f191]) ).
fof(f246,plain,
( neq(sk3,nil)
| spl0_1 ),
inference(subsumption_resolution,[],[f245,f239]) ).
fof(f193,axiom,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
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(f230,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f186,f187,f189,f188,f190,f191,f193,f194,f195,f196,f197,f192,f11,f1,f2,f6,f7,f5,f4,f3,f9,f10,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,f198,f228,f199,f229,f200]) ).
fof(f229,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f186,f187,f189,f188,f190,f191,f193,f194,f195,f196,f197,f192,f11,f1,f2,f6,f7,f5,f4,f3,f9,f10,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,f198,f228,f199]) ).
fof(f228,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f186,f187,f189,f188,f190,f191,f193,f194,f195,f196,f197,f192,f11,f1,f2,f6,f7,f5,f4,f3,f9,f10,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,f198]) ).
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(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f221,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(f220,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(f219,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(f218,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(f217,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(f216,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(f222,plain,
! [X3,X0,X1] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ ssItem(X3) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f215,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(f214,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(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(f212,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(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(f223,plain,
( ~ ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f211]) ).
fof(f211,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f210]) ).
fof(f210,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(f209,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(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(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(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(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(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(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(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(f232,plain,
! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f186,f187,f189,f188,f190,f191,f193,f194,f195,f196,f197,f192,f11,f1,f2,f6,f7,f5,f4,f3,f9,f10,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,f198,f228,f199,f229,f200,f230,f82,f80,f84,f76,f78,f77,f75,f109,f104,f227,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f203,f204,f231,f205]) ).
fof(f205,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(f231,plain,
! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f186,f187,f189,f188,f190,f191,f193,f194,f195,f196,f197,f192,f11,f1,f2,f6,f7,f5,f4,f3,f9,f10,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,f198,f228,f199,f229,f200,f230,f82,f80,f84,f76,f78,f77,f75,f109,f104,f227,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f203,f204]) ).
fof(f204,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(f226,plain,
! [X1] :
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(duplicate_literal_removal,[],[f202]) ).
fof(f202,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(f200,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(f199,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(f198,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(f197,axiom,
( nil = sk3
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f196,axiom,
( nil = sk3
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f194,axiom,
( nil = sk4
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
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(f1784,plain,
( spl0_21
| ~ spl0_22
| spl0_2
| ~ spl0_7
| ~ spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f1768,f1735,f924,f677,f241,f1781,f1777]) ).
fof(f1777,plain,
( spl0_21
<=> totalorderedP(tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1781,plain,
( spl0_22
<=> totalorderedP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f241,plain,
( spl0_2
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f677,plain,
( spl0_7
<=> ssList(tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f924,plain,
( spl0_11
<=> ssItem(hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1735,plain,
( spl0_15
<=> nil = tl(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1768,plain,
( ~ totalorderedP(sk1)
| totalorderedP(tl(sk1))
| spl0_2
| ~ spl0_7
| ~ spl0_11
| spl0_15 ),
inference(subsumption_resolution,[],[f1767,f925]) ).
fof(f925,plain,
( ssItem(hd(sk1))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f1767,plain,
( ~ totalorderedP(sk1)
| totalorderedP(tl(sk1))
| ~ ssItem(hd(sk1))
| spl0_2
| ~ spl0_7
| spl0_15 ),
inference(subsumption_resolution,[],[f1766,f1736]) ).
fof(f1736,plain,
( nil != tl(sk1)
| spl0_15 ),
inference(avatar_component_clause,[],[f1735]) ).
fof(f1766,plain,
( ~ totalorderedP(sk1)
| totalorderedP(tl(sk1))
| nil = tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1761,f678]) ).
fof(f678,plain,
( ssList(tl(sk1))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f1761,plain,
( ~ totalorderedP(sk1)
| ~ ssList(tl(sk1))
| totalorderedP(tl(sk1))
| nil = tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_2 ),
inference(superposition,[],[f125,f656]) ).
fof(f656,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| spl0_2 ),
inference(subsumption_resolution,[],[f651,f243]) ).
fof(f243,plain,
( nil != sk1
| spl0_2 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f651,plain,
( nil = sk1
| sk1 = cons(hd(sk1),tl(sk1)) ),
inference(resolution,[],[f104,f186]) ).
fof(f1759,plain,
( spl0_18
| spl0_19
| ~ spl0_20
| spl0_1
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1728,f952,f696,f237,f1756,f1752,f1748]) ).
fof(f1752,plain,
( spl0_19
<=> strictorderedP(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1756,plain,
( spl0_20
<=> strictorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1728,plain,
( ~ strictorderedP(sk2)
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| spl0_1
| ~ spl0_9
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1727,f953]) ).
fof(f1727,plain,
( ~ strictorderedP(sk2)
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_1
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1721,f697]) ).
fof(f1721,plain,
( ~ strictorderedP(sk2)
| ~ ssList(tl(sk2))
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_1 ),
inference(superposition,[],[f124,f782]) ).
fof(f1746,plain,
( spl0_15
| spl0_16
| ~ spl0_17
| spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1726,f924,f677,f241,f1743,f1739,f1735]) ).
fof(f1739,plain,
( spl0_16
<=> strictorderedP(tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1743,plain,
( spl0_17
<=> strictorderedP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1726,plain,
( ~ strictorderedP(sk1)
| strictorderedP(tl(sk1))
| nil = tl(sk1)
| spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1725,f925]) ).
fof(f1725,plain,
( ~ strictorderedP(sk1)
| strictorderedP(tl(sk1))
| nil = tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1720,f678]) ).
fof(f1720,plain,
( ~ strictorderedP(sk1)
| ~ ssList(tl(sk1))
| strictorderedP(tl(sk1))
| nil = tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_2 ),
inference(superposition,[],[f124,f656]) ).
fof(f963,plain,
( spl0_1
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f962]) ).
fof(f962,plain,
( $false
| spl0_1
| spl0_13 ),
inference(subsumption_resolution,[],[f961,f187]) ).
fof(f961,plain,
( ~ ssList(sk2)
| spl0_1
| spl0_13 ),
inference(subsumption_resolution,[],[f960,f239]) ).
fof(f960,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_13 ),
inference(resolution,[],[f954,f76]) ).
fof(f954,plain,
( ~ ssItem(hd(sk2))
| spl0_13 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f959,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f918,f696,f237,f956,f952]) ).
fof(f956,plain,
( spl0_14
<=> sk2 = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f918,plain,
( sk2 != tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_1
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f914,f697]) ).
fof(f914,plain,
( sk2 != tl(sk2)
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| spl0_1 ),
inference(superposition,[],[f99,f782]) ).
fof(f949,plain,
( spl0_1
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f948]) ).
fof(f948,plain,
( $false
| spl0_1
| ~ spl0_9
| spl0_10 ),
inference(subsumption_resolution,[],[f947,f187]) ).
fof(f947,plain,
( ~ ssList(sk2)
| spl0_1
| ~ spl0_9
| spl0_10 ),
inference(subsumption_resolution,[],[f946,f239]) ).
fof(f946,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_1
| ~ spl0_9
| spl0_10 ),
inference(resolution,[],[f941,f76]) ).
fof(f941,plain,
( ~ ssItem(hd(sk2))
| spl0_1
| ~ spl0_9
| spl0_10 ),
inference(subsumption_resolution,[],[f940,f697]) ).
fof(f940,plain,
( ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| spl0_1
| spl0_10 ),
inference(subsumption_resolution,[],[f937,f701]) ).
fof(f701,plain,
( ~ memberP(sk2,hd(sk2))
| spl0_10 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f700,plain,
( spl0_10
<=> memberP(sk2,hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f937,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| spl0_1 ),
inference(superposition,[],[f224,f782]) ).
fof(f935,plain,
( spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f934]) ).
fof(f934,plain,
( $false
| spl0_2
| spl0_11 ),
inference(subsumption_resolution,[],[f933,f186]) ).
fof(f933,plain,
( ~ ssList(sk1)
| spl0_2
| spl0_11 ),
inference(subsumption_resolution,[],[f932,f243]) ).
fof(f932,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_11 ),
inference(resolution,[],[f926,f76]) ).
fof(f926,plain,
( ~ ssItem(hd(sk1))
| spl0_11 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f931,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f917,f677,f241,f928,f924]) ).
fof(f928,plain,
( spl0_12
<=> sk1 = tl(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f917,plain,
( sk1 != tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f913,f678]) ).
fof(f913,plain,
( sk1 != tl(sk1)
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| spl0_2 ),
inference(superposition,[],[f99,f656]) ).
fof(f779,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f778,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f777,f243]) ).
fof(f777,plain,
( nil = sk1
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f776,f186]) ).
fof(f776,plain,
( ~ ssList(sk1)
| nil = sk1
| ~ spl0_1
| spl0_2 ),
inference(resolution,[],[f775,f84]) ).
fof(f775,plain,
( frontsegP(nil,sk1)
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f258,f238]) ).
fof(f238,plain,
( nil = sk2
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f258,plain,
( frontsegP(sk2,sk1)
| spl0_2 ),
inference(forward_demodulation,[],[f257,f190]) ).
fof(f257,plain,
( frontsegP(sk4,sk1)
| spl0_2 ),
inference(forward_demodulation,[],[f256,f191]) ).
fof(f256,plain,
( frontsegP(sk4,sk3)
| spl0_2 ),
inference(subsumption_resolution,[],[f255,f243]) ).
fof(f255,plain,
( nil = sk1
| frontsegP(sk4,sk3) ),
inference(forward_demodulation,[],[f197,f191]) ).
fof(f752,plain,
( spl0_1
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f751]) ).
fof(f751,plain,
( $false
| spl0_1
| spl0_9 ),
inference(subsumption_resolution,[],[f750,f187]) ).
fof(f750,plain,
( ~ ssList(sk2)
| spl0_1
| spl0_9 ),
inference(subsumption_resolution,[],[f749,f239]) ).
fof(f749,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_9 ),
inference(resolution,[],[f698,f75]) ).
fof(f698,plain,
( ~ ssList(tl(sk2))
| spl0_9 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f703,plain,
( ~ spl0_9
| spl0_10
| spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f670,f260,f237,f700,f696]) ).
fof(f260,plain,
( spl0_3
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f670,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f420,f657]) ).
fof(f420,plain,
( ! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f224,f261]) ).
fof(f261,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f688,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f687,plain,
( $false
| spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f686,f186]) ).
fof(f686,plain,
( ~ ssList(sk1)
| spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f685,f243]) ).
fof(f685,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_7 ),
inference(resolution,[],[f679,f75]) ).
fof(f679,plain,
( ~ ssList(tl(sk1))
| spl0_7 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f684,plain,
( ~ spl0_7
| spl0_8
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f664,f260,f241,f681,f677]) ).
fof(f681,plain,
( spl0_8
<=> memberP(sk1,hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f664,plain,
( memberP(sk1,hd(sk1))
| ~ ssList(tl(sk1))
| spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f420,f656]) ).
fof(f417,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f416,plain,
( $false
| spl0_6 ),
inference(subsumption_resolution,[],[f415,f186]) ).
fof(f415,plain,
( ~ ssList(sk1)
| spl0_6 ),
inference(resolution,[],[f413,f57]) ).
fof(f413,plain,
( ~ segmentP(sk1,sk1)
| spl0_6 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f414,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f405,f237,f411,f407]) ).
fof(f265,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f72,f263,f260]) ).
fof(f263,plain,
( spl0_4
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f244,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f193,f241,f237]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC070-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:24:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (27361)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (27368)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)
% 0.22/0.38 % (27364)WARNING: value z3 for option sas not known
% 0.22/0.38 % (27362)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (27365)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (27363)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (27366)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)
% 0.22/0.38 % (27364)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)
% 0.22/0.38 % (27367)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)
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.41 TRYING [3]
% 0.22/0.44 TRYING [1]
% 0.22/0.45 TRYING [2]
% 0.22/0.46 TRYING [4]
% 0.22/0.51 TRYING [3]
% 1.41/0.55 TRYING [5]
% 1.41/0.62 % (27364)First to succeed.
% 1.41/0.62 % (27364)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27361"
% 1.41/0.62 % (27364)Refutation found. Thanks to Tanya!
% 1.41/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.41/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.63 % (27364)------------------------------
% 1.41/0.63 % (27364)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.41/0.63 % (27364)Termination reason: Refutation
% 1.41/0.63
% 1.41/0.63 % (27364)Memory used [KB]: 4439
% 1.41/0.63 % (27364)Time elapsed: 0.240 s
% 1.41/0.63 % (27364)Instructions burned: 701 (million)
% 1.41/0.63 % (27361)Success in time 0.248 s
%------------------------------------------------------------------------------