TSTP Solution File: SWC003-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC003-1 : 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 : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 15:46:13 EDT 2024
% Result : Unsatisfiable 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 251
% Syntax : Number of formulae : 1069 ( 378 unt; 0 def)
% Number of atoms : 2578 ( 822 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2796 (1287 ~;1465 |; 0 &)
% ( 44 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 65 ( 63 usr; 45 prp; 0-2 aty)
% Number of functors : 56 ( 56 usr; 10 con; 0-2 aty)
% Number of variables : 968 ( 968 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7645,plain,
$false,
inference(avatar_sat_refutation,[],[f263,f1096,f1112,f1116,f1187,f1203,f1207,f1226,f1548,f1558,f1562,f1612,f1635,f1645,f1898,f1901,f1908,f1940,f1944,f1984,f2070,f2157,f2179,f2208,f3174,f3184,f5328,f5351,f5355,f5525,f5527,f5580,f6338,f6342,f7606,f7608,f7612,f7616,f7619,f7621,f7625,f7628,f7631]) ).
fof(f7631,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f7630]) ).
fof(f7630,plain,
( $false
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f7629,f252]) ).
fof(f252,plain,
ssItem(sk5),
inference(subsumption_resolution,[],[f251,f238]) ).
fof(f238,plain,
neq(sk2,nil),
inference(duplicate_literal_removal,[],[f192]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f251,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(forward_demodulation,[],[f202,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f202,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f7629,plain,
( ~ ssItem(sk5)
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f7599,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f7599,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f7580]) ).
fof(f7580,plain,
( nil != nil
| ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_24 ),
inference(superposition,[],[f99,f7543]) ).
fof(f7543,plain,
( nil = cons(sk5,nil)
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f7542,f1934]) ).
fof(f1934,plain,
( ssList(cons(sk5,nil))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f1933]) ).
fof(f1933,plain,
( spl0_24
<=> ssList(cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f7542,plain,
( nil = cons(sk5,nil)
| ~ ssList(cons(sk5,nil))
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f7541,f8]) ).
fof(f7541,plain,
( ~ ssList(nil)
| nil = cons(sk5,nil)
| ~ ssList(cons(sk5,nil))
| ~ spl0_24 ),
inference(resolution,[],[f7539,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f7539,plain,
( ~ neq(cons(sk5,nil),nil)
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f7538,f256]) ).
fof(f256,plain,
ssList(sk7),
inference(subsumption_resolution,[],[f255,f238]) ).
fof(f255,plain,
( ~ neq(sk2,nil)
| ssList(sk7) ),
inference(forward_demodulation,[],[f204,f190]) ).
fof(f204,axiom,
( ssList(sk7)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
fof(f7538,plain,
( ~ neq(cons(sk5,nil),nil)
| ~ ssList(sk7)
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f7537,f302]) ).
fof(f302,plain,
sk1 = app(sk6,sk7),
inference(forward_demodulation,[],[f301,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f301,plain,
sk3 = app(sk6,sk7),
inference(subsumption_resolution,[],[f300,f238]) ).
fof(f300,plain,
( ~ neq(sk2,nil)
| sk3 = app(sk6,sk7) ),
inference(forward_demodulation,[],[f206,f190]) ).
fof(f206,axiom,
( ~ neq(sk4,nil)
| sk3 = app(sk6,sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_21) ).
fof(f7537,plain,
( ~ neq(cons(sk5,nil),nil)
| sk1 != app(sk6,sk7)
| ~ ssList(sk7)
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f7536,f1934]) ).
fof(f7536,plain,
( ~ ssList(cons(sk5,nil))
| ~ neq(cons(sk5,nil),nil)
| sk1 != app(sk6,sk7)
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f7410,f254]) ).
fof(f254,plain,
ssList(sk6),
inference(subsumption_resolution,[],[f253,f238]) ).
fof(f253,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(forward_demodulation,[],[f203,f190]) ).
fof(f203,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f7410,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ neq(cons(sk5,nil),nil)
| sk1 != app(sk6,sk7)
| ~ ssList(sk7) ),
inference(trivial_inequality_removal,[],[f7409]) ).
fof(f7409,plain,
( sk2 != sk2
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ neq(cons(sk5,nil),nil)
| sk1 != app(sk6,sk7)
| ~ ssList(sk7) ),
inference(superposition,[],[f7225,f529]) ).
fof(f529,plain,
sk2 = app(app(sk6,cons(sk5,nil)),sk7),
inference(forward_demodulation,[],[f528,f190]) ).
fof(f528,plain,
sk4 = app(app(sk6,cons(sk5,nil)),sk7),
inference(subsumption_resolution,[],[f527,f238]) ).
fof(f527,plain,
( ~ neq(sk2,nil)
| sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
inference(forward_demodulation,[],[f205,f190]) ).
fof(f205,axiom,
( ~ neq(sk4,nil)
| sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).
fof(f7225,plain,
! [X8,X6,X7] :
( sk2 != app(app(X6,X7),X8)
| ~ ssList(X6)
| ~ ssList(X7)
| ~ neq(X7,nil)
| sk1 != app(X6,X8)
| ~ ssList(X8) ),
inference(subsumption_resolution,[],[f7224,f238]) ).
fof(f7224,plain,
! [X8,X6,X7] :
( ~ neq(sk2,nil)
| ~ ssList(X8)
| ~ ssList(X6)
| ~ ssList(X7)
| ~ neq(X7,nil)
| sk1 != app(X6,X8)
| sk2 != app(app(X6,X7),X8) ),
inference(forward_demodulation,[],[f201,f190]) ).
fof(f201,axiom,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssList(X6)
| ~ ssList(X7)
| ~ neq(X7,nil)
| ~ neq(sk4,nil)
| sk1 != app(X6,X8)
| sk2 != app(app(X6,X7),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f7628,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f7627]) ).
fof(f7627,plain,
( $false
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f7626,f252]) ).
fof(f7626,plain,
( ~ ssItem(sk5)
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f7600,f8]) ).
fof(f7600,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f7579]) ).
fof(f7579,plain,
( nil != nil
| ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_24 ),
inference(superposition,[],[f98,f7543]) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f7625,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f7624]) ).
fof(f7624,plain,
( $false
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f7623,f252]) ).
fof(f7623,plain,
( ~ ssItem(sk5)
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f7622,f1934]) ).
fof(f7622,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssItem(sk5)
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f7577,f11]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f7577,plain,
( singletonP(nil)
| ~ ssList(cons(sk5,nil))
| ~ ssItem(sk5)
| ~ spl0_24 ),
inference(superposition,[],[f213,f7543]) ).
fof(f213,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/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f7621,plain,
( ~ spl0_24
| spl0_25
| ~ spl0_26
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f7620]) ).
fof(f7620,plain,
( $false
| ~ spl0_24
| spl0_25
| ~ spl0_26
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f7566,f2516]) ).
fof(f2516,plain,
rearsegP(sk1,nil),
inference(subsumption_resolution,[],[f2515,f256]) ).
fof(f2515,plain,
( rearsegP(sk1,nil)
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f2513,f8]) ).
fof(f2513,plain,
( ~ ssList(nil)
| rearsegP(sk1,nil)
| ~ ssList(sk7) ),
inference(resolution,[],[f2498,f58]) ).
fof(f58,axiom,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f2498,plain,
! [X0] :
( ~ rearsegP(sk7,X0)
| ~ ssList(X0)
| rearsegP(sk1,X0) ),
inference(subsumption_resolution,[],[f2497,f254]) ).
fof(f2497,plain,
! [X0] :
( rearsegP(sk1,X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(sk6) ),
inference(subsumption_resolution,[],[f2418,f256]) ).
fof(f2418,plain,
! [X0] :
( rearsegP(sk1,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(sk6) ),
inference(superposition,[],[f136,f302]) ).
fof(f136,axiom,
! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f7566,plain,
( ~ rearsegP(sk1,nil)
| ~ spl0_24
| spl0_25
| ~ spl0_26
| ~ spl0_30 ),
inference(superposition,[],[f5964,f7543]) ).
fof(f5964,plain,
( ~ rearsegP(sk1,cons(sk5,nil))
| ~ spl0_24
| spl0_25
| ~ spl0_26
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f5957,f1934]) ).
fof(f5957,plain,
( ~ ssList(cons(sk5,nil))
| ~ rearsegP(sk1,cons(sk5,nil))
| spl0_25
| ~ spl0_26
| ~ spl0_30 ),
inference(resolution,[],[f5563,f1938]) ).
fof(f1938,plain,
( ~ rearsegP(sk2,cons(sk5,nil))
| spl0_25 ),
inference(avatar_component_clause,[],[f1937]) ).
fof(f1937,plain,
( spl0_25
<=> rearsegP(sk2,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f5563,plain,
( ! [X0] :
( rearsegP(sk2,X0)
| ~ ssList(X0)
| ~ rearsegP(sk1,X0) )
| ~ spl0_26
| ~ spl0_30 ),
inference(superposition,[],[f2488,f1979]) ).
fof(f1979,plain,
( sk1 = sk7
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f1977]) ).
fof(f1977,plain,
( spl0_26
<=> sk1 = sk7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f2488,plain,
( ! [X0] :
( ~ rearsegP(sk7,X0)
| ~ ssList(X0)
| rearsegP(sk2,X0) )
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f2487,f2151]) ).
fof(f2151,plain,
( ssList(app(sk6,cons(sk5,nil)))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f2150]) ).
fof(f2150,plain,
( spl0_30
<=> ssList(app(sk6,cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f2487,plain,
! [X0] :
( rearsegP(sk2,X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(subsumption_resolution,[],[f2413,f256]) ).
fof(f2413,plain,
! [X0] :
( rearsegP(sk2,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(superposition,[],[f136,f529]) ).
fof(f7619,plain,
( ~ spl0_24
| ~ spl0_26
| spl0_32
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f7618]) ).
fof(f7618,plain,
( $false
| ~ spl0_24
| ~ spl0_26
| spl0_32
| ~ spl0_40 ),
inference(subsumption_resolution,[],[f7617,f5558]) ).
fof(f5558,plain,
( sk1 != sk2
| ~ spl0_26
| spl0_32 ),
inference(superposition,[],[f2202,f1979]) ).
fof(f2202,plain,
( sk2 != sk7
| spl0_32 ),
inference(avatar_component_clause,[],[f2201]) ).
fof(f2201,plain,
( spl0_32
<=> sk2 = sk7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f7617,plain,
( sk1 = sk2
| ~ spl0_24
| ~ spl0_26
| ~ spl0_40 ),
inference(forward_demodulation,[],[f7564,f367]) ).
fof(f367,plain,
sk1 = app(nil,sk1),
inference(resolution,[],[f74,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f7564,plain,
( sk2 = app(nil,sk1)
| ~ spl0_24
| ~ spl0_26
| ~ spl0_40 ),
inference(superposition,[],[f5877,f7543]) ).
fof(f5877,plain,
( sk2 = app(cons(sk5,nil),sk1)
| ~ spl0_24
| ~ spl0_26
| ~ spl0_40 ),
inference(forward_demodulation,[],[f5390,f1979]) ).
fof(f5390,plain,
( sk2 = app(cons(sk5,nil),sk7)
| ~ spl0_24
| ~ spl0_40 ),
inference(forward_demodulation,[],[f5362,f1963]) ).
fof(f1963,plain,
( cons(sk5,nil) = app(nil,cons(sk5,nil))
| ~ spl0_24 ),
inference(resolution,[],[f1934,f74]) ).
fof(f5362,plain,
( sk2 = app(app(nil,cons(sk5,nil)),sk7)
| ~ spl0_40 ),
inference(superposition,[],[f529,f5327]) ).
fof(f5327,plain,
( nil = sk6
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f5325]) ).
fof(f5325,plain,
( spl0_40
<=> nil = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f7616,plain,
( ~ spl0_24
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f7615]) ).
fof(f7615,plain,
( $false
| ~ spl0_24
| spl0_25 ),
inference(subsumption_resolution,[],[f7560,f243]) ).
fof(f243,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f202,f195,f204,f203,f197,f196,f193,f206,f205,f238,f199,f239,f198,f240,f207,f200,f241,f201,f194,f242,f11,f1,f2,f5,f6,f7,f4,f3,f9,f10,f8,f54,f12,f47,f16,f17,f21,f30,f26,f25,f31,f41,f45,f46,f40,f36,f35,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f32,f33,f34,f42,f39,f38,f37,f43,f44,f53,f48,f49,f50,f51,f52,f71,f63,f55,f62,f64,f65,f68,f69,f70,f66,f67,f56,f59,f58,f60,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f94,f95,f87,f88,f167,f165,f166,f90,f91,f163,f164,f208]) ).
fof(f208,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_resolution,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| rearsegP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
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/sandbox2/benchmark/theBenchmark.p',clause164) ).
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/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f91,axiom,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f90,axiom,
! [X0] :
( ~ lt(skaf69(X0),skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause165) ).
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/sandbox2/benchmark/theBenchmark.p',clause167) ).
fof(f88,axiom,
! [X0] :
( leq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f87,axiom,
! [X0] :
( leq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f95,axiom,
! [X0] :
( ~ leq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f94,axiom,
! [X0] :
( ~ leq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f93,axiom,
! [X0] :
( ~ lt(skaf59(X0),skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f92,axiom,
! [X0] :
( ~ lt(skaf60(X0),skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause142) ).
fof(f89,axiom,
! [X0] :
( skaf79(X0) != skaf78(X0)
| equalelemsP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f59,axiom,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f70,axiom,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f69,axiom,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f68,axiom,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f65,axiom,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f64,axiom,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f62,axiom,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f55,axiom,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f63,axiom,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f242,plain,
neq(sk2,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f202,f195,f204,f203,f197,f196,f193,f206,f205,f238,f199,f239,f198,f240,f207,f200,f241,f201,f194]) ).
fof(f194,axiom,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssList(X6)
| ~ ssList(X7)
| ~ neq(X7,nil)
| neq(sk2,nil)
| sk1 != app(X6,X8)
| sk2 != app(app(X6,X7),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f241,plain,
neq(sk2,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f202,f195,f204,f203,f197,f196,f193,f206,f205,f238,f199,f239,f198,f240,f207,f200]) ).
fof(f200,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ geq(X6,sk5)
| ~ memberP(sk4,X6)
| sk5 = X6
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f207,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ neq(sk4,nil)
| ~ geq(X6,sk5)
| ~ memberP(sk4,X6)
| sk5 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_22) ).
fof(f240,plain,
neq(sk2,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f202,f195,f204,f203,f197,f196,f193,f206,f205,f238,f199,f239,f198]) ).
fof(f198,axiom,
( neq(sk2,nil)
| sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f239,plain,
neq(sk2,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f202,f195,f204,f203,f197,f196,f193,f206,f205,f238,f199]) ).
fof(f199,axiom,
( neq(sk2,nil)
| sk3 = app(sk6,sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f193,axiom,
( ~ neq(sk4,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f196,axiom,
( ssList(sk6)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f197,axiom,
( ssList(sk7)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f195,axiom,
( ssItem(sk5)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f7560,plain,
( ~ rearsegP(nil,nil)
| ~ spl0_24
| spl0_25 ),
inference(superposition,[],[f3017,f7543]) ).
fof(f3017,plain,
( ~ rearsegP(nil,cons(sk5,nil))
| ~ spl0_24
| spl0_25 ),
inference(subsumption_resolution,[],[f3012,f1934]) ).
fof(f3012,plain,
( ~ ssList(cons(sk5,nil))
| ~ rearsegP(nil,cons(sk5,nil))
| spl0_25 ),
inference(resolution,[],[f2494,f1938]) ).
fof(f2494,plain,
! [X0] :
( rearsegP(sk2,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(subsumption_resolution,[],[f2493,f187]) ).
fof(f2493,plain,
! [X0] :
( rearsegP(sk2,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk2) ),
inference(subsumption_resolution,[],[f2416,f8]) ).
fof(f2416,plain,
! [X0] :
( rearsegP(sk2,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk2) ),
inference(superposition,[],[f136,f332]) ).
fof(f332,plain,
sk2 = app(sk2,nil),
inference(resolution,[],[f73,f187]) ).
fof(f7612,plain,
( ~ spl0_22
| ~ spl0_24
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f7611]) ).
fof(f7611,plain,
( $false
| ~ spl0_22
| ~ spl0_24
| spl0_25 ),
inference(subsumption_resolution,[],[f7550,f1893]) ).
fof(f1893,plain,
( rearsegP(sk2,nil)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f1891]) ).
fof(f1891,plain,
( spl0_22
<=> rearsegP(sk2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f7550,plain,
( ~ rearsegP(sk2,nil)
| ~ spl0_24
| spl0_25 ),
inference(superposition,[],[f1938,f7543]) ).
fof(f7608,plain,
( ~ spl0_24
| ~ spl0_40
| spl0_42 ),
inference(avatar_contradiction_clause,[],[f7607]) ).
fof(f7607,plain,
( $false
| ~ spl0_24
| ~ spl0_40
| spl0_42 ),
inference(subsumption_resolution,[],[f7545,f5393]) ).
fof(f5393,plain,
( nil != tl(nil)
| ~ spl0_40
| spl0_42 ),
inference(forward_demodulation,[],[f5350,f5327]) ).
fof(f5350,plain,
( sk6 != tl(sk6)
| spl0_42 ),
inference(avatar_component_clause,[],[f5348]) ).
fof(f5348,plain,
( spl0_42
<=> sk6 = tl(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f7545,plain,
( nil = tl(nil)
| ~ spl0_24 ),
inference(superposition,[],[f553,f7543]) ).
fof(f553,plain,
nil = tl(cons(sk5,nil)),
inference(resolution,[],[f552,f8]) ).
fof(f552,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(sk5,X0)) = X0 ),
inference(resolution,[],[f96,f252]) ).
fof(f7606,plain,
( ~ spl0_24
| ~ spl0_26
| spl0_32
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f7605]) ).
fof(f7605,plain,
( $false
| ~ spl0_24
| ~ spl0_26
| spl0_32
| ~ spl0_40 ),
inference(subsumption_resolution,[],[f7604,f5558]) ).
fof(f7604,plain,
( sk1 = sk2
| ~ spl0_24
| ~ spl0_26
| ~ spl0_40 ),
inference(forward_demodulation,[],[f7603,f367]) ).
fof(f7603,plain,
( sk2 = app(nil,sk1)
| ~ spl0_24
| ~ spl0_26
| ~ spl0_40 ),
inference(forward_demodulation,[],[f7602,f5327]) ).
fof(f7602,plain,
( sk2 = app(sk6,sk1)
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f7601,f335]) ).
fof(f335,plain,
sk6 = app(sk6,nil),
inference(resolution,[],[f73,f254]) ).
fof(f7601,plain,
( sk2 = app(app(sk6,nil),sk1)
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f7544,f1979]) ).
fof(f7544,plain,
( sk2 = app(app(sk6,nil),sk7)
| ~ spl0_24 ),
inference(superposition,[],[f529,f7543]) ).
fof(f6342,plain,
( spl0_4
| spl0_43 ),
inference(avatar_contradiction_clause,[],[f6341]) ).
fof(f6341,plain,
( $false
| spl0_4
| spl0_43 ),
inference(subsumption_resolution,[],[f6340,f186]) ).
fof(f6340,plain,
( ~ ssList(sk1)
| spl0_4
| spl0_43 ),
inference(subsumption_resolution,[],[f6339,f1094]) ).
fof(f1094,plain,
( nil != sk1
| spl0_4 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f1093,plain,
( spl0_4
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f6339,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_43 ),
inference(resolution,[],[f6333,f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f6333,plain,
( ~ ssList(tl(sk1))
| spl0_43 ),
inference(avatar_component_clause,[],[f6331]) ).
fof(f6331,plain,
( spl0_43
<=> ssList(tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f6338,plain,
( ~ spl0_43
| spl0_44
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f6329,f1105,f1089,f6335,f6331]) ).
fof(f6335,plain,
( spl0_44
<=> memberP(sk1,hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1089,plain,
( spl0_3
<=> sk1 = cons(hd(sk1),tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1105,plain,
( spl0_5
<=> ssItem(hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f6329,plain,
( memberP(sk1,hd(sk1))
| ~ ssList(tl(sk1))
| ~ spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f1097,f1106]) ).
fof(f1106,plain,
( ssItem(hd(sk1))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f1097,plain,
( memberP(sk1,hd(sk1))
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| ~ spl0_3 ),
inference(superposition,[],[f234,f1091]) ).
fof(f1091,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f234,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f217]) ).
fof(f217,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/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f5580,plain,
( ~ spl0_26
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f5579]) ).
fof(f5579,plain,
( $false
| ~ spl0_26
| spl0_27 ),
inference(subsumption_resolution,[],[f5554,f2761]) ).
fof(f2761,plain,
rearsegP(sk1,sk1),
inference(forward_demodulation,[],[f2751,f2736]) ).
fof(f2736,plain,
sk1 = skaf45(sk1,nil),
inference(superposition,[],[f2735,f364]) ).
fof(f364,plain,
! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
inference(resolution,[],[f74,f51]) ).
fof(f2735,plain,
sk1 = app(nil,skaf45(sk1,nil)),
inference(subsumption_resolution,[],[f2734,f8]) ).
fof(f2734,plain,
( ~ ssList(nil)
| sk1 = app(nil,skaf45(sk1,nil)) ),
inference(subsumption_resolution,[],[f2732,f186]) ).
fof(f2732,plain,
( ~ ssList(sk1)
| ~ ssList(nil)
| sk1 = app(nil,skaf45(sk1,nil)) ),
inference(resolution,[],[f2731,f132]) ).
fof(f132,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f2731,plain,
frontsegP(sk1,nil),
inference(subsumption_resolution,[],[f2730,f254]) ).
fof(f2730,plain,
( frontsegP(sk1,nil)
| ~ ssList(sk6) ),
inference(subsumption_resolution,[],[f2728,f8]) ).
fof(f2728,plain,
( ~ ssList(nil)
| frontsegP(sk1,nil)
| ~ ssList(sk6) ),
inference(resolution,[],[f2700,f60]) ).
fof(f2700,plain,
! [X0] :
( ~ frontsegP(sk6,X0)
| ~ ssList(X0)
| frontsegP(sk1,X0) ),
inference(subsumption_resolution,[],[f2699,f256]) ).
fof(f2699,plain,
! [X0] :
( frontsegP(sk1,X0)
| ~ ssList(X0)
| ~ frontsegP(sk6,X0)
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f2614,f254]) ).
fof(f2614,plain,
! [X0] :
( frontsegP(sk1,X0)
| ~ ssList(sk6)
| ~ ssList(X0)
| ~ frontsegP(sk6,X0)
| ~ ssList(sk7) ),
inference(superposition,[],[f137,f302]) ).
fof(f137,axiom,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f2751,plain,
rearsegP(sk1,skaf45(sk1,nil)),
inference(subsumption_resolution,[],[f2750,f8]) ).
fof(f2750,plain,
( rearsegP(sk1,skaf45(sk1,nil))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f2744,f51]) ).
fof(f2744,plain,
( rearsegP(sk1,skaf45(sk1,nil))
| ~ ssList(skaf45(sk1,nil))
| ~ ssList(nil) ),
inference(superposition,[],[f1789,f2735]) ).
fof(f1789,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f218,f85]) ).
fof(f218,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/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f5554,plain,
( ~ rearsegP(sk1,sk1)
| ~ spl0_26
| spl0_27 ),
inference(superposition,[],[f1983,f1979]) ).
fof(f1983,plain,
( ~ rearsegP(sk7,sk1)
| spl0_27 ),
inference(avatar_component_clause,[],[f1981]) ).
fof(f1981,plain,
( spl0_27
<=> rearsegP(sk7,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f5527,plain,
( spl0_26
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f5526]) ).
fof(f5526,plain,
( $false
| spl0_26
| ~ spl0_40 ),
inference(subsumption_resolution,[],[f5508,f1978]) ).
fof(f1978,plain,
( sk1 != sk7
| spl0_26 ),
inference(avatar_component_clause,[],[f1977]) ).
fof(f5508,plain,
( sk1 = sk7
| ~ spl0_40 ),
inference(superposition,[],[f372,f5359]) ).
fof(f5359,plain,
( sk1 = app(nil,sk7)
| ~ spl0_40 ),
inference(superposition,[],[f302,f5327]) ).
fof(f372,plain,
sk7 = app(nil,sk7),
inference(resolution,[],[f74,f256]) ).
fof(f5525,plain,
( spl0_26
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f5524]) ).
fof(f5524,plain,
( $false
| spl0_26
| ~ spl0_40 ),
inference(subsumption_resolution,[],[f5507,f1978]) ).
fof(f5507,plain,
( sk1 = sk7
| ~ spl0_40 ),
inference(superposition,[],[f5359,f372]) ).
fof(f5355,plain,
( spl0_40
| spl0_41 ),
inference(avatar_contradiction_clause,[],[f5354]) ).
fof(f5354,plain,
( $false
| spl0_40
| spl0_41 ),
inference(subsumption_resolution,[],[f5353,f254]) ).
fof(f5353,plain,
( ~ ssList(sk6)
| spl0_40
| spl0_41 ),
inference(subsumption_resolution,[],[f5352,f5326]) ).
fof(f5326,plain,
( nil != sk6
| spl0_40 ),
inference(avatar_component_clause,[],[f5325]) ).
fof(f5352,plain,
( nil = sk6
| ~ ssList(sk6)
| spl0_41 ),
inference(resolution,[],[f5346,f76]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f5346,plain,
( ~ ssItem(hd(sk6))
| spl0_41 ),
inference(avatar_component_clause,[],[f5344]) ).
fof(f5344,plain,
( spl0_41
<=> ssItem(hd(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f5351,plain,
( ~ spl0_41
| ~ spl0_42
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f5342,f5321,f5348,f5344]) ).
fof(f5321,plain,
( spl0_39
<=> sk6 = cons(hd(sk6),tl(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f5342,plain,
( sk6 != tl(sk6)
| ~ ssItem(hd(sk6))
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f5341,f254]) ).
fof(f5341,plain,
( sk6 != tl(sk6)
| ~ ssList(sk6)
| ~ ssItem(hd(sk6))
| ~ spl0_39 ),
inference(inner_rewriting,[],[f5331]) ).
fof(f5331,plain,
( sk6 != tl(sk6)
| ~ ssList(tl(sk6))
| ~ ssItem(hd(sk6))
| ~ spl0_39 ),
inference(superposition,[],[f99,f5323]) ).
fof(f5323,plain,
( sk6 = cons(hd(sk6),tl(sk6))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f5321]) ).
fof(f5328,plain,
( spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f1081,f5325,f5321]) ).
fof(f1081,plain,
( nil = sk6
| sk6 = cons(hd(sk6),tl(sk6)) ),
inference(resolution,[],[f104,f254]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f3184,plain,
( spl0_37
| ~ spl0_38
| spl0_4
| spl0_34 ),
inference(avatar_split_clause,[],[f3175,f3163,f1093,f3181,f3177]) ).
fof(f3177,plain,
( spl0_37
<=> totalorderedP(skaf82(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f3181,plain,
( spl0_38
<=> totalorderedP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f3163,plain,
( spl0_34
<=> nil = skaf82(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f3175,plain,
( ~ totalorderedP(sk1)
| totalorderedP(skaf82(sk1))
| spl0_4
| spl0_34 ),
inference(subsumption_resolution,[],[f2083,f3164]) ).
fof(f3164,plain,
( nil != skaf82(sk1)
| spl0_34 ),
inference(avatar_component_clause,[],[f3163]) ).
fof(f2083,plain,
( ~ totalorderedP(sk1)
| totalorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| spl0_4 ),
inference(subsumption_resolution,[],[f2082,f12]) ).
fof(f2082,plain,
( ~ totalorderedP(sk1)
| totalorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_4 ),
inference(subsumption_resolution,[],[f2075,f13]) ).
fof(f2075,plain,
( ~ totalorderedP(sk1)
| ~ ssList(skaf82(sk1))
| totalorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_4 ),
inference(superposition,[],[f125,f1952]) ).
fof(f1952,plain,
( sk1 = cons(skaf83(sk1),skaf82(sk1))
| spl0_4 ),
inference(global_subsumption,[],[f202,f195,f204,f203,f197,f196,f193,f206,f205,f199,f239,f198,f240,f207,f200,f241,f201,f194,f242,f142,f162,f167,f165,f166,f163,f164,f208,f209,f210,f78,f77,f237,f157,f214,f246,f215,f247,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f151,f150,f218,f219,f233,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f222,f158,f172,f223,f153,f152,f154,f224,f232,f177,f226,f227,f228,f229,f230,f231,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f238,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,f243,f244,f245,f252,f254,f256,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f235,f236,f248,f64,f65,f66,f67,f68,f69,f70,f72,f302,f73,f337,f338,f331,f332,f335,f336,f74,f373,f374,f367,f368,f371,f372,f304,f305,f306,f307,f308,f75,f375,f376,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f76,f320,f321,f322,f323,f324,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f80,f82,f84,f85,f393,f394,f86,f449,f450,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f234,f325,f326,f327,f328,f329,f330,f361,f362,f363,f364,f365,f529,f366,f96,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f552,f581,f582,f583,f590,f591,f553,f584,f585,f588,f589,f97,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f649,f650,f651,f658,f659,f621,f652,f653,f656,f657,f622,f623,f624,f100,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f101,f636,f637,f638,f639,f640,f641,f642,f554,f555,f556,f557,f102,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f103,f569,f570,f571,f572,f573,f574,f643,f644,f645,f646,f647,f105,f648,f575,f576,f577,f578,f579,f580,f534,f776,f777,f778,f779,f780,f781,f782,f783,f784,f791,f792,f785,f786,f789,f106,f790,f754,f535,f827,f828,f829,f830,f831,f832,f833,f834,f835,f842,f843,f836,f837,f840,f841,f107,f856,f858,f860,f805,f602,f891,f892,f893,f900,f901,f894,f895,f898,f899,f863,f864,f865,f108,f916,f918,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f110,f931,f877,f878,f879,f880,f881,f882,f883,f884,f603,f962,f963,f964,f965,f966,f967,f968,f969,f970,f977,f978,f971,f972,f114,f975,f976,f940,f941,f942,f943,f944,f945,f946,f213,f991,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f960,f961,f755,f756,f757,f758,f759,f760,f761,f1005,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f104,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f1072,f1073,f1083,f1075,f1076,f1085,f1087,f1077,f1094,f109,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1165,f1175,f1167,f1168,f1170,f1178,f1078,f118,f119,f120,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1484,f121,f1514,f1517,f1519,f1521,f124,f125,f126,f127,f128,f129,f773,f774,f775,f806,f807,f808,f809,f810,f130,f1759,f1763,f1766,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f885,f886,f887,f888,f889,f890,f1789,f1878,f1887,f1882,f1174,f1173,f1082,f1081,f1946,f1947,f1949,f1950,f1951]) ).
fof(f1951,plain,
( sk1 = cons(skaf83(sk1),skaf82(sk1))
| nil = sk1 ),
inference(forward_demodulation,[],[f1176,f191]) ).
fof(f1176,plain,
( nil = sk1
| sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
inference(forward_demodulation,[],[f1171,f191]) ).
fof(f1171,plain,
( nil = sk3
| sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
inference(resolution,[],[f109,f188]) ).
fof(f1950,plain,
( nil != sk1
| spl0_4 ),
inference(global_subsumption,[],[f202,f195,f204,f203,f197,f196,f193,f206,f205,f199,f239,f198,f240,f207,f200,f241,f201,f194,f242,f142,f162,f167,f165,f166,f163,f164,f208,f209,f210,f78,f77,f237,f157,f214,f246,f215,f247,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f151,f150,f218,f219,f233,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f222,f158,f172,f223,f153,f152,f154,f224,f232,f177,f226,f227,f228,f229,f230,f231,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f238,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,f243,f244,f245,f252,f254,f256,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f235,f236,f248,f64,f65,f66,f67,f68,f69,f70,f72,f302,f73,f337,f338,f331,f332,f335,f336,f74,f373,f374,f367,f368,f371,f372,f304,f305,f306,f307,f308,f75,f375,f376,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f76,f320,f321,f322,f323,f324,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f80,f82,f84,f85,f393,f394,f86,f449,f450,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f234,f325,f326,f327,f328,f329,f330,f361,f362,f363,f364,f365,f529,f366,f96,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f552,f581,f582,f583,f590,f591,f553,f584,f585,f588,f589,f97,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f649,f650,f651,f658,f659,f621,f652,f653,f656,f657,f622,f623,f624,f100,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f101,f636,f637,f638,f639,f640,f641,f642,f554,f555,f556,f557,f102,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f103,f569,f570,f571,f572,f573,f574,f643,f644,f645,f646,f647,f105,f648,f575,f576,f577,f578,f579,f580,f534,f776,f777,f778,f779,f780,f781,f782,f783,f784,f791,f792,f785,f786,f789,f106,f790,f754,f535,f827,f828,f829,f830,f831,f832,f833,f834,f835,f842,f843,f836,f837,f840,f841,f107,f856,f858,f860,f805,f602,f891,f892,f893,f900,f901,f894,f895,f898,f899,f863,f864,f865,f108,f916,f918,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f110,f931,f877,f878,f879,f880,f881,f882,f883,f884,f603,f962,f963,f964,f965,f966,f967,f968,f969,f970,f977,f978,f971,f972,f114,f975,f976,f940,f941,f942,f943,f944,f945,f946,f213,f991,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f960,f961,f755,f756,f757,f758,f759,f760,f761,f1005,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f104,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f1072,f1073,f1083,f1075,f1076,f1085,f1087,f1077,f1094,f109,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1165,f1175,f1167,f1168,f1170,f1178,f1078,f118,f119,f120,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1484,f121,f1514,f1517,f1519,f1521,f124,f125,f126,f127,f128,f129,f773,f774,f775,f806,f807,f808,f809,f810,f130,f1759,f1763,f1766,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f885,f886,f887,f888,f889,f890,f1789,f1878,f1887,f1882,f1174,f1173,f1082,f1081,f1946,f1947,f1949]) ).
fof(f1949,plain,
( nil != sk1
| nil = sk6 ),
inference(subsumption_resolution,[],[f1948,f256]) ).
fof(f1948,plain,
( nil != sk1
| nil = sk6
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f1292,f254]) ).
fof(f1292,plain,
( nil != sk1
| ~ ssList(sk6)
| nil = sk6
| ~ ssList(sk7) ),
inference(superposition,[],[f118,f302]) ).
fof(f1947,plain,
( nil != sk1
| spl0_4 ),
inference(global_subsumption,[],[f202,f195,f204,f203,f197,f196,f193,f206,f205,f199,f239,f198,f240,f207,f200,f241,f201,f194,f242,f142,f162,f167,f165,f166,f163,f164,f208,f209,f210,f78,f77,f237,f157,f214,f246,f215,f247,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f151,f150,f218,f219,f233,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f222,f158,f172,f223,f153,f152,f154,f224,f232,f177,f226,f227,f228,f229,f230,f231,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f238,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,f243,f244,f245,f252,f254,f256,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f235,f236,f248,f64,f65,f66,f67,f68,f69,f70,f72,f302,f73,f337,f338,f331,f332,f335,f336,f74,f373,f374,f367,f368,f371,f372,f304,f305,f306,f307,f308,f75,f375,f376,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f76,f320,f321,f322,f323,f324,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f80,f82,f84,f85,f393,f394,f86,f449,f450,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f234,f325,f326,f327,f328,f329,f330,f361,f362,f363,f364,f365,f529,f366,f96,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f552,f581,f582,f583,f590,f591,f553,f584,f585,f588,f589,f97,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f649,f650,f651,f658,f659,f621,f652,f653,f656,f657,f622,f623,f624,f100,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f101,f636,f637,f638,f639,f640,f641,f642,f554,f555,f556,f557,f102,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f103,f569,f570,f571,f572,f573,f574,f643,f644,f645,f646,f647,f105,f648,f575,f576,f577,f578,f579,f580,f534,f776,f777,f778,f779,f780,f781,f782,f783,f784,f791,f792,f785,f786,f789,f106,f790,f754,f535,f827,f828,f829,f830,f831,f832,f833,f834,f835,f842,f843,f836,f837,f840,f841,f107,f856,f858,f860,f805,f602,f891,f892,f893,f900,f901,f894,f895,f898,f899,f863,f864,f865,f108,f916,f918,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f110,f931,f877,f878,f879,f880,f881,f882,f883,f884,f603,f962,f963,f964,f965,f966,f967,f968,f969,f970,f977,f978,f971,f972,f114,f975,f976,f940,f941,f942,f943,f944,f945,f946,f213,f991,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f960,f961,f755,f756,f757,f758,f759,f760,f761,f1005,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f104,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f1072,f1073,f1083,f1075,f1076,f1085,f1087,f1077,f1094,f109,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1165,f1175,f1167,f1168,f1170,f1178,f1078,f118,f119,f120,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1484,f121,f1514,f1517,f1519,f1521,f124,f125,f126,f127,f128,f129,f773,f774,f775,f806,f807,f808,f809,f810,f130,f1759,f1763,f1766,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f885,f886,f887,f888,f889,f890,f1789,f1878,f1887,f1882,f1174,f1173,f1082,f1081,f1946]) ).
fof(f1946,plain,
( nil != sk1
| nil = sk7 ),
inference(subsumption_resolution,[],[f1945,f256]) ).
fof(f1945,plain,
( nil != sk1
| nil = sk7
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f1447,f254]) ).
fof(f1447,plain,
( nil != sk1
| ~ ssList(sk6)
| nil = sk7
| ~ ssList(sk7) ),
inference(superposition,[],[f119,f302]) ).
fof(f1082,plain,
( nil = sk7
| sk7 = cons(hd(sk7),tl(sk7)) ),
inference(resolution,[],[f104,f256]) ).
fof(f1173,plain,
( nil = sk6
| sk6 = cons(skaf83(sk6),skaf82(sk6)) ),
inference(resolution,[],[f109,f254]) ).
fof(f1174,plain,
( nil = sk7
| sk7 = cons(skaf83(sk7),skaf82(sk7)) ),
inference(resolution,[],[f109,f256]) ).
fof(f1882,plain,
( rearsegP(sk2,sk7)
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(subsumption_resolution,[],[f1868,f256]) ).
fof(f1868,plain,
( rearsegP(sk2,sk7)
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(superposition,[],[f1789,f529]) ).
fof(f1887,plain,
rearsegP(sk1,sk7),
inference(subsumption_resolution,[],[f1886,f254]) ).
fof(f1886,plain,
( rearsegP(sk1,sk7)
| ~ ssList(sk6) ),
inference(subsumption_resolution,[],[f1873,f256]) ).
fof(f1873,plain,
( rearsegP(sk1,sk7)
| ~ ssList(sk7)
| ~ ssList(sk6) ),
inference(superposition,[],[f1789,f302]) ).
fof(f1878,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,app(X1,X0))
| app(X1,X0) = X0 ),
inference(subsumption_resolution,[],[f1877,f85]) ).
fof(f1877,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,app(X1,X0))
| app(X1,X0) = X0 ),
inference(duplicate_literal_removal,[],[f1806]) ).
fof(f1806,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,app(X1,X0))
| app(X1,X0) = X0 ),
inference(resolution,[],[f1789,f128]) ).
fof(f890,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf42(X0,X1))),
inference(resolution,[],[f602,f53]) ).
fof(f889,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf43(X0,X1))),
inference(resolution,[],[f602,f52]) ).
fof(f888,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf45(X0,X1))),
inference(resolution,[],[f602,f51]) ).
fof(f887,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf46(X0,X1))),
inference(resolution,[],[f602,f50]) ).
fof(f886,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf47(X0,X1))),
inference(resolution,[],[f602,f49]) ).
fof(f885,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf48(X0,X1))),
inference(resolution,[],[f602,f48]) ).
fof(f826,plain,
! [X0] : skaf51(X0) = tl(cons(skac2,skaf51(X0))),
inference(resolution,[],[f535,f44]) ).
fof(f825,plain,
! [X0] : skaf52(X0) = tl(cons(skac2,skaf52(X0))),
inference(resolution,[],[f535,f43]) ).
fof(f824,plain,
! [X0] : skaf53(X0) = tl(cons(skac2,skaf53(X0))),
inference(resolution,[],[f535,f42]) ).
fof(f823,plain,
! [X0] : skaf56(X0) = tl(cons(skac2,skaf56(X0))),
inference(resolution,[],[f535,f39]) ).
fof(f822,plain,
! [X0] : skaf57(X0) = tl(cons(skac2,skaf57(X0))),
inference(resolution,[],[f535,f38]) ).
fof(f821,plain,
! [X0] : skaf58(X0) = tl(cons(skac2,skaf58(X0))),
inference(resolution,[],[f535,f37]) ).
fof(f820,plain,
! [X0] : skaf61(X0) = tl(cons(skac2,skaf61(X0))),
inference(resolution,[],[f535,f34]) ).
fof(f819,plain,
! [X0] : skaf62(X0) = tl(cons(skac2,skaf62(X0))),
inference(resolution,[],[f535,f33]) ).
fof(f818,plain,
! [X0] : skaf63(X0) = tl(cons(skac2,skaf63(X0))),
inference(resolution,[],[f535,f32]) ).
fof(f817,plain,
! [X0] : skaf66(X0) = tl(cons(skac2,skaf66(X0))),
inference(resolution,[],[f535,f29]) ).
fof(f816,plain,
! [X0] : skaf67(X0) = tl(cons(skac2,skaf67(X0))),
inference(resolution,[],[f535,f28]) ).
fof(f815,plain,
! [X0] : skaf68(X0) = tl(cons(skac2,skaf68(X0))),
inference(resolution,[],[f535,f27]) ).
fof(f814,plain,
! [X0] : skaf71(X0) = tl(cons(skac2,skaf71(X0))),
inference(resolution,[],[f535,f24]) ).
fof(f813,plain,
! [X0] : skaf72(X0) = tl(cons(skac2,skaf72(X0))),
inference(resolution,[],[f535,f23]) ).
fof(f812,plain,
! [X0] : skaf73(X0) = tl(cons(skac2,skaf73(X0))),
inference(resolution,[],[f535,f22]) ).
fof(f811,plain,
! [X0] : skaf75(X0) = tl(cons(skac2,skaf75(X0))),
inference(resolution,[],[f535,f20]) ).
fof(f1766,plain,
! [X0] :
( skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1765,f87]) ).
fof(f1765,plain,
! [X0] :
( ~ leq(skaf50(X0),skaf49(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1764,f46]) ).
fof(f1764,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| ~ leq(skaf50(X0),skaf49(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1758,f45]) ).
fof(f1758,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ ssItem(skaf49(X0))
| ~ leq(skaf50(X0),skaf49(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f130,f88]) ).
fof(f1763,plain,
! [X0] :
( skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1762,f88]) ).
fof(f1762,plain,
! [X0] :
( ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1761,f45]) ).
fof(f1761,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1757,f46]) ).
fof(f1757,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f130,f87]) ).
fof(f1759,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1
| ~ geq(X0,X1) ),
inference(duplicate_literal_removal,[],[f1756]) ).
fof(f1756,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) ),
inference(resolution,[],[f130,f107]) ).
fof(f130,axiom,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f810,plain,
! [X0] : skaf76(X0) = tl(cons(skac2,skaf76(X0))),
inference(resolution,[],[f535,f19]) ).
fof(f809,plain,
! [X0] : skaf77(X0) = tl(cons(skac2,skaf77(X0))),
inference(resolution,[],[f535,f18]) ).
fof(f808,plain,
! [X0] : skaf80(X0) = tl(cons(skac2,skaf80(X0))),
inference(resolution,[],[f535,f15]) ).
fof(f807,plain,
! [X0] : skaf81(X0) = tl(cons(skac2,skaf81(X0))),
inference(resolution,[],[f535,f14]) ).
fof(f806,plain,
! [X0] : skaf82(X0) = tl(cons(skac2,skaf82(X0))),
inference(resolution,[],[f535,f13]) ).
fof(f775,plain,
! [X0] : skaf51(X0) = tl(cons(skac3,skaf51(X0))),
inference(resolution,[],[f534,f44]) ).
fof(f774,plain,
! [X0] : skaf52(X0) = tl(cons(skac3,skaf52(X0))),
inference(resolution,[],[f534,f43]) ).
fof(f773,plain,
! [X0] : skaf53(X0) = tl(cons(skac3,skaf53(X0))),
inference(resolution,[],[f534,f42]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f128,axiom,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f127,axiom,
! [X0,X1] :
( ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f126,axiom,
! [X0,X1] :
( ~ geq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f124,axiom,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f1521,plain,
! [X0] :
( ~ leq(skaf59(X0),skaf60(X0))
| skaf60(X0) = skaf59(X0)
| strictorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1520,f35]) ).
fof(f1520,plain,
! [X0] :
( ~ leq(skaf59(X0),skaf60(X0))
| skaf60(X0) = skaf59(X0)
| ~ ssItem(skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1512,f36]) ).
fof(f1512,plain,
! [X0] :
( ~ ssItem(skaf59(X0))
| ~ leq(skaf59(X0),skaf60(X0))
| skaf60(X0) = skaf59(X0)
| ~ ssItem(skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f121,f93]) ).
fof(f1519,plain,
! [X0] :
( ~ leq(skaf60(X0),skaf59(X0))
| skaf60(X0) = skaf59(X0)
| strictorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1518,f36]) ).
fof(f1518,plain,
! [X0] :
( ~ leq(skaf60(X0),skaf59(X0))
| skaf60(X0) = skaf59(X0)
| ~ ssItem(skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1511,f35]) ).
fof(f1511,plain,
! [X0] :
( ~ ssItem(skaf60(X0))
| ~ leq(skaf60(X0),skaf59(X0))
| skaf60(X0) = skaf59(X0)
| ~ ssItem(skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f121,f92]) ).
fof(f1517,plain,
! [X0] :
( ~ leq(skaf69(X0),skaf70(X0))
| skaf70(X0) = skaf69(X0)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1516,f25]) ).
fof(f1516,plain,
! [X0] :
( ~ leq(skaf69(X0),skaf70(X0))
| skaf70(X0) = skaf69(X0)
| ~ ssItem(skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1510,f26]) ).
fof(f1510,plain,
! [X0] :
( ~ ssItem(skaf69(X0))
| ~ leq(skaf69(X0),skaf70(X0))
| skaf70(X0) = skaf69(X0)
| ~ ssItem(skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f121,f90]) ).
fof(f1514,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ lt(X1,X0) ),
inference(duplicate_literal_removal,[],[f1508]) ).
fof(f1508,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0) ),
inference(resolution,[],[f121,f114]) ).
fof(f121,axiom,
! [X0,X1] :
( lt(X0,X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f1484,plain,
! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) ),
inference(resolution,[],[f120,f252]) ).
fof(f1482,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(hd(X1),X0) = app(cons(hd(X1),nil),X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f120,f76]) ).
fof(f1481,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf44(X1),X0) = app(cons(skaf44(X1),nil),X0) ),
inference(resolution,[],[f120,f47]) ).
fof(f1480,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf49(X1),X0) = app(cons(skaf49(X1),nil),X0) ),
inference(resolution,[],[f120,f46]) ).
fof(f1479,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf50(X1),X0) = app(cons(skaf50(X1),nil),X0) ),
inference(resolution,[],[f120,f45]) ).
fof(f1478,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf54(X1),X0) = app(cons(skaf54(X1),nil),X0) ),
inference(resolution,[],[f120,f41]) ).
fof(f1477,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf55(X1),X0) = app(cons(skaf55(X1),nil),X0) ),
inference(resolution,[],[f120,f40]) ).
fof(f1476,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf59(X1),X0) = app(cons(skaf59(X1),nil),X0) ),
inference(resolution,[],[f120,f36]) ).
fof(f1475,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf60(X1),X0) = app(cons(skaf60(X1),nil),X0) ),
inference(resolution,[],[f120,f35]) ).
fof(f1474,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf64(X1),X0) = app(cons(skaf64(X1),nil),X0) ),
inference(resolution,[],[f120,f31]) ).
fof(f1473,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf65(X1),X0) = app(cons(skaf65(X1),nil),X0) ),
inference(resolution,[],[f120,f30]) ).
fof(f1472,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf69(X1),X0) = app(cons(skaf69(X1),nil),X0) ),
inference(resolution,[],[f120,f26]) ).
fof(f1471,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf70(X1),X0) = app(cons(skaf70(X1),nil),X0) ),
inference(resolution,[],[f120,f25]) ).
fof(f1470,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf74(X1),X0) = app(cons(skaf74(X1),nil),X0) ),
inference(resolution,[],[f120,f21]) ).
fof(f1469,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf78(X1),X0) = app(cons(skaf78(X1),nil),X0) ),
inference(resolution,[],[f120,f17]) ).
fof(f1468,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf79(X1),X0) = app(cons(skaf79(X1),nil),X0) ),
inference(resolution,[],[f120,f16]) ).
fof(f1467,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf83(X1),X0) = app(cons(skaf83(X1),nil),X0) ),
inference(resolution,[],[f120,f12]) ).
fof(f1466,plain,
! [X0] :
( ~ ssList(X0)
| cons(skac2,X0) = app(cons(skac2,nil),X0) ),
inference(resolution,[],[f120,f10]) ).
fof(f1465,plain,
! [X0] :
( ~ ssList(X0)
| cons(skac3,X0) = app(cons(skac3,nil),X0) ),
inference(resolution,[],[f120,f9]) ).
fof(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f1078,plain,
( nil = sk2
| sk2 = cons(hd(sk2),tl(sk2)) ),
inference(resolution,[],[f104,f187]) ).
fof(f1178,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| nil = sk2 ),
inference(forward_demodulation,[],[f1177,f190]) ).
fof(f1177,plain,
( nil = sk2
| sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
inference(forward_demodulation,[],[f1172,f190]) ).
fof(f1172,plain,
( nil = sk4
| sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
inference(resolution,[],[f109,f189]) ).
fof(f1170,plain,
( nil = sk2
| sk2 = cons(skaf83(sk2),skaf82(sk2)) ),
inference(resolution,[],[f109,f187]) ).
fof(f1168,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(skaf83(tl(X0)),skaf82(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f109,f75]) ).
fof(f1167,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(f1175,plain,
! [X0,X1] :
( cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f1166,f98]) ).
fof(f1166,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(f1165,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(skaf83(skaf42(X0,X1)),skaf82(skaf42(X0,X1))) ),
inference(resolution,[],[f109,f53]) ).
fof(f1164,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(skaf83(skaf43(X0,X1)),skaf82(skaf43(X0,X1))) ),
inference(resolution,[],[f109,f52]) ).
fof(f1163,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(skaf83(skaf45(X0,X1)),skaf82(skaf45(X0,X1))) ),
inference(resolution,[],[f109,f51]) ).
fof(f1162,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(skaf83(skaf46(X0,X1)),skaf82(skaf46(X0,X1))) ),
inference(resolution,[],[f109,f50]) ).
fof(f1161,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(skaf83(skaf47(X0,X1)),skaf82(skaf47(X0,X1))) ),
inference(resolution,[],[f109,f49]) ).
fof(f1160,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(skaf83(skaf48(X0,X1)),skaf82(skaf48(X0,X1))) ),
inference(resolution,[],[f109,f48]) ).
fof(f1159,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(skaf83(skaf51(X0)),skaf82(skaf51(X0))) ),
inference(resolution,[],[f109,f44]) ).
fof(f1158,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(skaf83(skaf52(X0)),skaf82(skaf52(X0))) ),
inference(resolution,[],[f109,f43]) ).
fof(f1157,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(skaf83(skaf53(X0)),skaf82(skaf53(X0))) ),
inference(resolution,[],[f109,f42]) ).
fof(f1156,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(skaf83(skaf56(X0)),skaf82(skaf56(X0))) ),
inference(resolution,[],[f109,f39]) ).
fof(f1155,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(skaf83(skaf57(X0)),skaf82(skaf57(X0))) ),
inference(resolution,[],[f109,f38]) ).
fof(f1154,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(skaf83(skaf58(X0)),skaf82(skaf58(X0))) ),
inference(resolution,[],[f109,f37]) ).
fof(f1153,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(skaf83(skaf61(X0)),skaf82(skaf61(X0))) ),
inference(resolution,[],[f109,f34]) ).
fof(f1152,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(skaf83(skaf62(X0)),skaf82(skaf62(X0))) ),
inference(resolution,[],[f109,f33]) ).
fof(f1151,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(skaf83(skaf63(X0)),skaf82(skaf63(X0))) ),
inference(resolution,[],[f109,f32]) ).
fof(f1150,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(skaf83(skaf66(X0)),skaf82(skaf66(X0))) ),
inference(resolution,[],[f109,f29]) ).
fof(f1149,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(skaf83(skaf67(X0)),skaf82(skaf67(X0))) ),
inference(resolution,[],[f109,f28]) ).
fof(f1148,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(skaf83(skaf68(X0)),skaf82(skaf68(X0))) ),
inference(resolution,[],[f109,f27]) ).
fof(f1147,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(skaf83(skaf71(X0)),skaf82(skaf71(X0))) ),
inference(resolution,[],[f109,f24]) ).
fof(f1146,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(skaf83(skaf72(X0)),skaf82(skaf72(X0))) ),
inference(resolution,[],[f109,f23]) ).
fof(f1145,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(skaf83(skaf73(X0)),skaf82(skaf73(X0))) ),
inference(resolution,[],[f109,f22]) ).
fof(f1144,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(skaf83(skaf75(X0)),skaf82(skaf75(X0))) ),
inference(resolution,[],[f109,f20]) ).
fof(f1143,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(skaf83(skaf76(X0)),skaf82(skaf76(X0))) ),
inference(resolution,[],[f109,f19]) ).
fof(f1142,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(skaf83(skaf77(X0)),skaf82(skaf77(X0))) ),
inference(resolution,[],[f109,f18]) ).
fof(f1141,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(skaf83(skaf80(X0)),skaf82(skaf80(X0))) ),
inference(resolution,[],[f109,f15]) ).
fof(f1140,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(skaf83(skaf81(X0)),skaf82(skaf81(X0))) ),
inference(resolution,[],[f109,f14]) ).
fof(f1139,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/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f1077,plain,
( nil = sk1
| sk1 = cons(hd(sk1),tl(sk1)) ),
inference(resolution,[],[f104,f186]) ).
fof(f1087,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| nil = sk2 ),
inference(forward_demodulation,[],[f1086,f190]) ).
fof(f1086,plain,
( nil = sk2
| sk4 = cons(hd(sk4),tl(sk4)) ),
inference(forward_demodulation,[],[f1080,f190]) ).
fof(f1080,plain,
( nil = sk4
| sk4 = cons(hd(sk4),tl(sk4)) ),
inference(resolution,[],[f104,f189]) ).
fof(f1085,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| nil = sk1 ),
inference(forward_demodulation,[],[f1084,f191]) ).
fof(f1084,plain,
( nil = sk1
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(forward_demodulation,[],[f1079,f191]) ).
fof(f1079,plain,
( nil = sk3
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(resolution,[],[f104,f188]) ).
fof(f1076,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f104,f75]) ).
fof(f1075,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(f1083,plain,
! [X0,X1] :
( cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f1074,f98]) ).
fof(f1074,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(f1073,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(hd(skaf42(X0,X1)),tl(skaf42(X0,X1))) ),
inference(resolution,[],[f104,f53]) ).
fof(f1072,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(hd(skaf43(X0,X1)),tl(skaf43(X0,X1))) ),
inference(resolution,[],[f104,f52]) ).
fof(f1071,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(hd(skaf45(X0,X1)),tl(skaf45(X0,X1))) ),
inference(resolution,[],[f104,f51]) ).
fof(f1070,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(hd(skaf46(X0,X1)),tl(skaf46(X0,X1))) ),
inference(resolution,[],[f104,f50]) ).
fof(f1069,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(hd(skaf47(X0,X1)),tl(skaf47(X0,X1))) ),
inference(resolution,[],[f104,f49]) ).
fof(f1068,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(hd(skaf48(X0,X1)),tl(skaf48(X0,X1))) ),
inference(resolution,[],[f104,f48]) ).
fof(f1067,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(hd(skaf51(X0)),tl(skaf51(X0))) ),
inference(resolution,[],[f104,f44]) ).
fof(f1066,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(hd(skaf52(X0)),tl(skaf52(X0))) ),
inference(resolution,[],[f104,f43]) ).
fof(f1065,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(hd(skaf53(X0)),tl(skaf53(X0))) ),
inference(resolution,[],[f104,f42]) ).
fof(f1064,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(hd(skaf56(X0)),tl(skaf56(X0))) ),
inference(resolution,[],[f104,f39]) ).
fof(f1063,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(hd(skaf57(X0)),tl(skaf57(X0))) ),
inference(resolution,[],[f104,f38]) ).
fof(f1062,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(hd(skaf58(X0)),tl(skaf58(X0))) ),
inference(resolution,[],[f104,f37]) ).
fof(f1061,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(hd(skaf61(X0)),tl(skaf61(X0))) ),
inference(resolution,[],[f104,f34]) ).
fof(f1060,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(hd(skaf62(X0)),tl(skaf62(X0))) ),
inference(resolution,[],[f104,f33]) ).
fof(f1059,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(hd(skaf63(X0)),tl(skaf63(X0))) ),
inference(resolution,[],[f104,f32]) ).
fof(f1058,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(hd(skaf66(X0)),tl(skaf66(X0))) ),
inference(resolution,[],[f104,f29]) ).
fof(f1057,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(hd(skaf67(X0)),tl(skaf67(X0))) ),
inference(resolution,[],[f104,f28]) ).
fof(f1056,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(hd(skaf68(X0)),tl(skaf68(X0))) ),
inference(resolution,[],[f104,f27]) ).
fof(f1055,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(hd(skaf71(X0)),tl(skaf71(X0))) ),
inference(resolution,[],[f104,f24]) ).
fof(f1054,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(hd(skaf72(X0)),tl(skaf72(X0))) ),
inference(resolution,[],[f104,f23]) ).
fof(f1053,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(hd(skaf73(X0)),tl(skaf73(X0))) ),
inference(resolution,[],[f104,f22]) ).
fof(f1052,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(hd(skaf75(X0)),tl(skaf75(X0))) ),
inference(resolution,[],[f104,f20]) ).
fof(f1051,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(hd(skaf76(X0)),tl(skaf76(X0))) ),
inference(resolution,[],[f104,f19]) ).
fof(f1050,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(hd(skaf77(X0)),tl(skaf77(X0))) ),
inference(resolution,[],[f104,f18]) ).
fof(f1049,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(hd(skaf80(X0)),tl(skaf80(X0))) ),
inference(resolution,[],[f104,f15]) ).
fof(f1048,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(hd(skaf81(X0)),tl(skaf81(X0))) ),
inference(resolution,[],[f104,f14]) ).
fof(f1047,plain,
! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(hd(skaf82(X0)),tl(skaf82(X0))) ),
inference(resolution,[],[f104,f13]) ).
fof(f772,plain,
! [X0] : skaf56(X0) = tl(cons(skac3,skaf56(X0))),
inference(resolution,[],[f534,f39]) ).
fof(f771,plain,
! [X0] : skaf57(X0) = tl(cons(skac3,skaf57(X0))),
inference(resolution,[],[f534,f38]) ).
fof(f770,plain,
! [X0] : skaf58(X0) = tl(cons(skac3,skaf58(X0))),
inference(resolution,[],[f534,f37]) ).
fof(f769,plain,
! [X0] : skaf61(X0) = tl(cons(skac3,skaf61(X0))),
inference(resolution,[],[f534,f34]) ).
fof(f768,plain,
! [X0] : skaf62(X0) = tl(cons(skac3,skaf62(X0))),
inference(resolution,[],[f534,f33]) ).
fof(f767,plain,
! [X0] : skaf63(X0) = tl(cons(skac3,skaf63(X0))),
inference(resolution,[],[f534,f32]) ).
fof(f766,plain,
! [X0] : skaf66(X0) = tl(cons(skac3,skaf66(X0))),
inference(resolution,[],[f534,f29]) ).
fof(f765,plain,
! [X0] : skaf67(X0) = tl(cons(skac3,skaf67(X0))),
inference(resolution,[],[f534,f28]) ).
fof(f764,plain,
! [X0] : skaf68(X0) = tl(cons(skac3,skaf68(X0))),
inference(resolution,[],[f534,f27]) ).
fof(f763,plain,
! [X0] : skaf71(X0) = tl(cons(skac3,skaf71(X0))),
inference(resolution,[],[f534,f24]) ).
fof(f762,plain,
! [X0] : skaf72(X0) = tl(cons(skac3,skaf72(X0))),
inference(resolution,[],[f534,f23]) ).
fof(f1005,plain,
! [X6] :
( ~ memberP(sk2,X6)
| ~ ssItem(X6)
| ~ geq(X6,sk5)
| sk5 = X6 ),
inference(forward_demodulation,[],[f1004,f190]) ).
fof(f1004,plain,
! [X6] :
( ~ ssItem(X6)
| ~ geq(X6,sk5)
| ~ memberP(sk4,X6)
| sk5 = X6 ),
inference(subsumption_resolution,[],[f1003,f238]) ).
fof(f1003,plain,
! [X6] :
( ~ neq(sk2,nil)
| ~ ssItem(X6)
| ~ geq(X6,sk5)
| ~ memberP(sk4,X6)
| sk5 = X6 ),
inference(forward_demodulation,[],[f207,f190]) ).
fof(f761,plain,
! [X0] : skaf73(X0) = tl(cons(skac3,skaf73(X0))),
inference(resolution,[],[f534,f22]) ).
fof(f760,plain,
! [X0] : skaf75(X0) = tl(cons(skac3,skaf75(X0))),
inference(resolution,[],[f534,f20]) ).
fof(f759,plain,
! [X0] : skaf76(X0) = tl(cons(skac3,skaf76(X0))),
inference(resolution,[],[f534,f19]) ).
fof(f758,plain,
! [X0] : skaf77(X0) = tl(cons(skac3,skaf77(X0))),
inference(resolution,[],[f534,f18]) ).
fof(f757,plain,
! [X0] : skaf80(X0) = tl(cons(skac3,skaf80(X0))),
inference(resolution,[],[f534,f15]) ).
fof(f756,plain,
! [X0] : skaf81(X0) = tl(cons(skac3,skaf81(X0))),
inference(resolution,[],[f534,f14]) ).
fof(f755,plain,
! [X0] : skaf82(X0) = tl(cons(skac3,skaf82(X0))),
inference(resolution,[],[f534,f13]) ).
fof(f961,plain,
! [X0] : skac2 = hd(cons(skac2,skaf51(X0))),
inference(resolution,[],[f603,f44]) ).
fof(f960,plain,
! [X0] : skac2 = hd(cons(skac2,skaf52(X0))),
inference(resolution,[],[f603,f43]) ).
fof(f959,plain,
! [X0] : skac2 = hd(cons(skac2,skaf53(X0))),
inference(resolution,[],[f603,f42]) ).
fof(f958,plain,
! [X0] : skac2 = hd(cons(skac2,skaf56(X0))),
inference(resolution,[],[f603,f39]) ).
fof(f957,plain,
! [X0] : skac2 = hd(cons(skac2,skaf57(X0))),
inference(resolution,[],[f603,f38]) ).
fof(f956,plain,
! [X0] : skac2 = hd(cons(skac2,skaf58(X0))),
inference(resolution,[],[f603,f37]) ).
fof(f955,plain,
! [X0] : skac2 = hd(cons(skac2,skaf61(X0))),
inference(resolution,[],[f603,f34]) ).
fof(f954,plain,
! [X0] : skac2 = hd(cons(skac2,skaf62(X0))),
inference(resolution,[],[f603,f33]) ).
fof(f953,plain,
! [X0] : skac2 = hd(cons(skac2,skaf63(X0))),
inference(resolution,[],[f603,f32]) ).
fof(f952,plain,
! [X0] : skac2 = hd(cons(skac2,skaf66(X0))),
inference(resolution,[],[f603,f29]) ).
fof(f951,plain,
! [X0] : skac2 = hd(cons(skac2,skaf67(X0))),
inference(resolution,[],[f603,f28]) ).
fof(f950,plain,
! [X0] : skac2 = hd(cons(skac2,skaf68(X0))),
inference(resolution,[],[f603,f27]) ).
fof(f949,plain,
! [X0] : skac2 = hd(cons(skac2,skaf71(X0))),
inference(resolution,[],[f603,f24]) ).
fof(f948,plain,
! [X0] : skac2 = hd(cons(skac2,skaf72(X0))),
inference(resolution,[],[f603,f23]) ).
fof(f947,plain,
! [X0] : skac2 = hd(cons(skac2,skaf73(X0))),
inference(resolution,[],[f603,f22]) ).
fof(f991,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
inference(duplicate_literal_removal,[],[f990]) ).
fof(f990,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
inference(resolution,[],[f213,f101]) ).
fof(f946,plain,
! [X0] : skac2 = hd(cons(skac2,skaf75(X0))),
inference(resolution,[],[f603,f20]) ).
fof(f945,plain,
! [X0] : skac2 = hd(cons(skac2,skaf76(X0))),
inference(resolution,[],[f603,f19]) ).
fof(f944,plain,
! [X0] : skac2 = hd(cons(skac2,skaf77(X0))),
inference(resolution,[],[f603,f18]) ).
fof(f943,plain,
! [X0] : skac2 = hd(cons(skac2,skaf80(X0))),
inference(resolution,[],[f603,f15]) ).
fof(f942,plain,
! [X0] : skac2 = hd(cons(skac2,skaf81(X0))),
inference(resolution,[],[f603,f14]) ).
fof(f941,plain,
! [X0] : skac2 = hd(cons(skac2,skaf82(X0))),
inference(resolution,[],[f603,f13]) ).
fof(f940,plain,
skac2 = hd(cons(skac2,nil)),
inference(resolution,[],[f603,f8]) ).
fof(f976,plain,
skac2 = hd(cons(skac2,sk7)),
inference(resolution,[],[f603,f256]) ).
fof(f975,plain,
skac2 = hd(cons(skac2,sk6)),
inference(resolution,[],[f603,f254]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f972,plain,
skac2 = hd(cons(skac2,sk2)),
inference(resolution,[],[f603,f187]) ).
fof(f971,plain,
skac2 = hd(cons(skac2,sk1)),
inference(resolution,[],[f603,f186]) ).
fof(f978,plain,
skac2 = hd(cons(skac2,sk2)),
inference(forward_demodulation,[],[f974,f190]) ).
fof(f974,plain,
skac2 = hd(cons(skac2,sk4)),
inference(resolution,[],[f603,f189]) ).
fof(f977,plain,
skac2 = hd(cons(skac2,sk1)),
inference(forward_demodulation,[],[f973,f191]) ).
fof(f973,plain,
skac2 = hd(cons(skac2,sk3)),
inference(resolution,[],[f603,f188]) ).
fof(f970,plain,
! [X0] :
( skac2 = hd(cons(skac2,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f603,f75]) ).
fof(f969,plain,
! [X0,X1] :
( skac2 = hd(cons(skac2,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f603,f85]) ).
fof(f968,plain,
! [X0,X1] :
( skac2 = hd(cons(skac2,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f603,f86]) ).
fof(f967,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf42(X0,X1))),
inference(resolution,[],[f603,f53]) ).
fof(f966,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf43(X0,X1))),
inference(resolution,[],[f603,f52]) ).
fof(f965,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf45(X0,X1))),
inference(resolution,[],[f603,f51]) ).
fof(f964,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf46(X0,X1))),
inference(resolution,[],[f603,f50]) ).
fof(f963,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf47(X0,X1))),
inference(resolution,[],[f603,f49]) ).
fof(f962,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf48(X0,X1))),
inference(resolution,[],[f603,f48]) ).
fof(f603,plain,
! [X0] :
( ~ ssList(X0)
| skac2 = hd(cons(skac2,X0)) ),
inference(resolution,[],[f97,f10]) ).
fof(f884,plain,
! [X0] : skac3 = hd(cons(skac3,skaf51(X0))),
inference(resolution,[],[f602,f44]) ).
fof(f883,plain,
! [X0] : skac3 = hd(cons(skac3,skaf52(X0))),
inference(resolution,[],[f602,f43]) ).
fof(f882,plain,
! [X0] : skac3 = hd(cons(skac3,skaf53(X0))),
inference(resolution,[],[f602,f42]) ).
fof(f881,plain,
! [X0] : skac3 = hd(cons(skac3,skaf56(X0))),
inference(resolution,[],[f602,f39]) ).
fof(f880,plain,
! [X0] : skac3 = hd(cons(skac3,skaf57(X0))),
inference(resolution,[],[f602,f38]) ).
fof(f879,plain,
! [X0] : skac3 = hd(cons(skac3,skaf58(X0))),
inference(resolution,[],[f602,f37]) ).
fof(f878,plain,
! [X0] : skac3 = hd(cons(skac3,skaf61(X0))),
inference(resolution,[],[f602,f34]) ).
fof(f877,plain,
! [X0] : skac3 = hd(cons(skac3,skaf62(X0))),
inference(resolution,[],[f602,f33]) ).
fof(f931,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ lt(X0,X1) ),
inference(duplicate_literal_removal,[],[f930]) ).
fof(f930,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/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f876,plain,
! [X0] : skac3 = hd(cons(skac3,skaf63(X0))),
inference(resolution,[],[f602,f32]) ).
fof(f875,plain,
! [X0] : skac3 = hd(cons(skac3,skaf66(X0))),
inference(resolution,[],[f602,f29]) ).
fof(f874,plain,
! [X0] : skac3 = hd(cons(skac3,skaf67(X0))),
inference(resolution,[],[f602,f28]) ).
fof(f873,plain,
! [X0] : skac3 = hd(cons(skac3,skaf68(X0))),
inference(resolution,[],[f602,f27]) ).
fof(f872,plain,
! [X0] : skac3 = hd(cons(skac3,skaf71(X0))),
inference(resolution,[],[f602,f24]) ).
fof(f871,plain,
! [X0] : skac3 = hd(cons(skac3,skaf72(X0))),
inference(resolution,[],[f602,f23]) ).
fof(f870,plain,
! [X0] : skac3 = hd(cons(skac3,skaf73(X0))),
inference(resolution,[],[f602,f22]) ).
fof(f869,plain,
! [X0] : skac3 = hd(cons(skac3,skaf75(X0))),
inference(resolution,[],[f602,f20]) ).
fof(f868,plain,
! [X0] : skac3 = hd(cons(skac3,skaf76(X0))),
inference(resolution,[],[f602,f19]) ).
fof(f867,plain,
! [X0] : skac3 = hd(cons(skac3,skaf77(X0))),
inference(resolution,[],[f602,f18]) ).
fof(f866,plain,
! [X0] : skac3 = hd(cons(skac3,skaf80(X0))),
inference(resolution,[],[f602,f15]) ).
fof(f918,plain,
! [X0] :
( geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f917,f46]) ).
fof(f917,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f912,f45]) ).
fof(f912,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ ssItem(skaf49(X0))
| geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f108,f88]) ).
fof(f916,plain,
! [X0] :
( geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f915,f45]) ).
fof(f915,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f911,f46]) ).
fof(f911,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/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f865,plain,
! [X0] : skac3 = hd(cons(skac3,skaf81(X0))),
inference(resolution,[],[f602,f14]) ).
fof(f864,plain,
! [X0] : skac3 = hd(cons(skac3,skaf82(X0))),
inference(resolution,[],[f602,f13]) ).
fof(f863,plain,
skac3 = hd(cons(skac3,nil)),
inference(resolution,[],[f602,f8]) ).
fof(f899,plain,
skac3 = hd(cons(skac3,sk7)),
inference(resolution,[],[f602,f256]) ).
fof(f898,plain,
skac3 = hd(cons(skac3,sk6)),
inference(resolution,[],[f602,f254]) ).
fof(f895,plain,
skac3 = hd(cons(skac3,sk2)),
inference(resolution,[],[f602,f187]) ).
fof(f894,plain,
skac3 = hd(cons(skac3,sk1)),
inference(resolution,[],[f602,f186]) ).
fof(f901,plain,
skac3 = hd(cons(skac3,sk2)),
inference(forward_demodulation,[],[f897,f190]) ).
fof(f897,plain,
skac3 = hd(cons(skac3,sk4)),
inference(resolution,[],[f602,f189]) ).
fof(f900,plain,
skac3 = hd(cons(skac3,sk1)),
inference(forward_demodulation,[],[f896,f191]) ).
fof(f896,plain,
skac3 = hd(cons(skac3,sk3)),
inference(resolution,[],[f602,f188]) ).
fof(f893,plain,
! [X0] :
( skac3 = hd(cons(skac3,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f602,f75]) ).
fof(f892,plain,
! [X0,X1] :
( skac3 = hd(cons(skac3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f602,f85]) ).
fof(f891,plain,
! [X0,X1] :
( skac3 = hd(cons(skac3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f602,f86]) ).
fof(f602,plain,
! [X0] :
( ~ ssList(X0)
| skac3 = hd(cons(skac3,X0)) ),
inference(resolution,[],[f97,f9]) ).
fof(f805,plain,
nil = tl(cons(skac2,nil)),
inference(resolution,[],[f535,f8]) ).
fof(f860,plain,
! [X0] :
( ~ geq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f859,f41]) ).
fof(f859,plain,
! [X0] :
( ~ geq(skaf55(X0),skaf54(X0))
| ~ ssItem(skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f854,f40]) ).
fof(f854,plain,
! [X0] :
( ~ ssItem(skaf55(X0))
| ~ geq(skaf55(X0),skaf54(X0))
| ~ ssItem(skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f95]) ).
fof(f858,plain,
! [X0] :
( ~ geq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f857,f40]) ).
fof(f857,plain,
! [X0] :
( ~ geq(skaf54(X0),skaf55(X0))
| ~ ssItem(skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f853,f41]) ).
fof(f853,plain,
! [X0] :
( ~ ssItem(skaf54(X0))
| ~ geq(skaf54(X0),skaf55(X0))
| ~ ssItem(skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f94]) ).
fof(f856,plain,
! [X0] :
( ~ geq(skaf65(X0),skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f855,f31]) ).
fof(f855,plain,
! [X0] :
( ~ geq(skaf65(X0),skaf64(X0))
| ~ ssItem(skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f852,f30]) ).
fof(f852,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/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f841,plain,
sk7 = tl(cons(skac2,sk7)),
inference(resolution,[],[f535,f256]) ).
fof(f840,plain,
sk6 = tl(cons(skac2,sk6)),
inference(resolution,[],[f535,f254]) ).
fof(f837,plain,
sk2 = tl(cons(skac2,sk2)),
inference(resolution,[],[f535,f187]) ).
fof(f836,plain,
sk1 = tl(cons(skac2,sk1)),
inference(resolution,[],[f535,f186]) ).
fof(f843,plain,
sk2 = tl(cons(skac2,sk2)),
inference(forward_demodulation,[],[f839,f190]) ).
fof(f839,plain,
sk4 = tl(cons(skac2,sk4)),
inference(resolution,[],[f535,f189]) ).
fof(f842,plain,
sk1 = tl(cons(skac2,sk1)),
inference(forward_demodulation,[],[f838,f191]) ).
fof(f838,plain,
sk3 = tl(cons(skac2,sk3)),
inference(resolution,[],[f535,f188]) ).
fof(f835,plain,
! [X0] :
( tl(X0) = tl(cons(skac2,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f535,f75]) ).
fof(f834,plain,
! [X0,X1] :
( app(X0,X1) = tl(cons(skac2,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f535,f85]) ).
fof(f833,plain,
! [X0,X1] :
( cons(X0,X1) = tl(cons(skac2,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f535,f86]) ).
fof(f832,plain,
! [X0,X1] : skaf42(X0,X1) = tl(cons(skac2,skaf42(X0,X1))),
inference(resolution,[],[f535,f53]) ).
fof(f831,plain,
! [X0,X1] : skaf43(X0,X1) = tl(cons(skac2,skaf43(X0,X1))),
inference(resolution,[],[f535,f52]) ).
fof(f830,plain,
! [X0,X1] : skaf45(X0,X1) = tl(cons(skac2,skaf45(X0,X1))),
inference(resolution,[],[f535,f51]) ).
fof(f829,plain,
! [X0,X1] : skaf46(X0,X1) = tl(cons(skac2,skaf46(X0,X1))),
inference(resolution,[],[f535,f50]) ).
fof(f828,plain,
! [X0,X1] : skaf47(X0,X1) = tl(cons(skac2,skaf47(X0,X1))),
inference(resolution,[],[f535,f49]) ).
fof(f827,plain,
! [X0,X1] : skaf48(X0,X1) = tl(cons(skac2,skaf48(X0,X1))),
inference(resolution,[],[f535,f48]) ).
fof(f535,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac2,X0)) = X0 ),
inference(resolution,[],[f96,f10]) ).
fof(f754,plain,
nil = tl(cons(skac3,nil)),
inference(resolution,[],[f534,f8]) ).
fof(f790,plain,
sk7 = tl(cons(skac3,sk7)),
inference(resolution,[],[f534,f256]) ).
fof(f106,axiom,
! [X0,X1] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f789,plain,
sk6 = tl(cons(skac3,sk6)),
inference(resolution,[],[f534,f254]) ).
fof(f786,plain,
sk2 = tl(cons(skac3,sk2)),
inference(resolution,[],[f534,f187]) ).
fof(f785,plain,
sk1 = tl(cons(skac3,sk1)),
inference(resolution,[],[f534,f186]) ).
fof(f792,plain,
sk2 = tl(cons(skac3,sk2)),
inference(forward_demodulation,[],[f788,f190]) ).
fof(f788,plain,
sk4 = tl(cons(skac3,sk4)),
inference(resolution,[],[f534,f189]) ).
fof(f791,plain,
sk1 = tl(cons(skac3,sk1)),
inference(forward_demodulation,[],[f787,f191]) ).
fof(f787,plain,
sk3 = tl(cons(skac3,sk3)),
inference(resolution,[],[f534,f188]) ).
fof(f784,plain,
! [X0] :
( tl(X0) = tl(cons(skac3,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f534,f75]) ).
fof(f783,plain,
! [X0,X1] :
( app(X0,X1) = tl(cons(skac3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f534,f85]) ).
fof(f782,plain,
! [X0,X1] :
( cons(X0,X1) = tl(cons(skac3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f534,f86]) ).
fof(f781,plain,
! [X0,X1] : skaf42(X0,X1) = tl(cons(skac3,skaf42(X0,X1))),
inference(resolution,[],[f534,f53]) ).
fof(f780,plain,
! [X0,X1] : skaf43(X0,X1) = tl(cons(skac3,skaf43(X0,X1))),
inference(resolution,[],[f534,f52]) ).
fof(f779,plain,
! [X0,X1] : skaf45(X0,X1) = tl(cons(skac3,skaf45(X0,X1))),
inference(resolution,[],[f534,f51]) ).
fof(f778,plain,
! [X0,X1] : skaf46(X0,X1) = tl(cons(skac3,skaf46(X0,X1))),
inference(resolution,[],[f534,f50]) ).
fof(f777,plain,
! [X0,X1] : skaf47(X0,X1) = tl(cons(skac3,skaf47(X0,X1))),
inference(resolution,[],[f534,f49]) ).
fof(f776,plain,
! [X0,X1] : skaf48(X0,X1) = tl(cons(skac3,skaf48(X0,X1))),
inference(resolution,[],[f534,f48]) ).
fof(f534,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac3,X0)) = X0 ),
inference(resolution,[],[f96,f9]) ).
fof(f580,plain,
! [X0,X1] : skaf42(X0,X1) = tl(cons(sk5,skaf42(X0,X1))),
inference(resolution,[],[f552,f53]) ).
fof(f579,plain,
! [X0,X1] : skaf43(X0,X1) = tl(cons(sk5,skaf43(X0,X1))),
inference(resolution,[],[f552,f52]) ).
fof(f578,plain,
! [X0,X1] : skaf45(X0,X1) = tl(cons(sk5,skaf45(X0,X1))),
inference(resolution,[],[f552,f51]) ).
fof(f577,plain,
! [X0,X1] : skaf46(X0,X1) = tl(cons(sk5,skaf46(X0,X1))),
inference(resolution,[],[f552,f50]) ).
fof(f576,plain,
! [X0,X1] : skaf47(X0,X1) = tl(cons(sk5,skaf47(X0,X1))),
inference(resolution,[],[f552,f49]) ).
fof(f575,plain,
! [X0,X1] : skaf48(X0,X1) = tl(cons(sk5,skaf48(X0,X1))),
inference(resolution,[],[f552,f48]) ).
fof(f648,plain,
! [X0,X1] : sk5 = hd(cons(sk5,skaf42(X0,X1))),
inference(resolution,[],[f620,f53]) ).
fof(f105,axiom,
! [X0,X1] :
( ~ gt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f647,plain,
! [X0,X1] : sk5 = hd(cons(sk5,skaf43(X0,X1))),
inference(resolution,[],[f620,f52]) ).
fof(f646,plain,
! [X0,X1] : sk5 = hd(cons(sk5,skaf45(X0,X1))),
inference(resolution,[],[f620,f51]) ).
fof(f645,plain,
! [X0,X1] : sk5 = hd(cons(sk5,skaf46(X0,X1))),
inference(resolution,[],[f620,f50]) ).
fof(f644,plain,
! [X0,X1] : sk5 = hd(cons(sk5,skaf47(X0,X1))),
inference(resolution,[],[f620,f49]) ).
fof(f643,plain,
! [X0,X1] : sk5 = hd(cons(sk5,skaf48(X0,X1))),
inference(resolution,[],[f620,f48]) ).
fof(f574,plain,
! [X0] : skaf51(X0) = tl(cons(sk5,skaf51(X0))),
inference(resolution,[],[f552,f44]) ).
fof(f573,plain,
! [X0] : skaf52(X0) = tl(cons(sk5,skaf52(X0))),
inference(resolution,[],[f552,f43]) ).
fof(f572,plain,
! [X0] : skaf53(X0) = tl(cons(sk5,skaf53(X0))),
inference(resolution,[],[f552,f42]) ).
fof(f571,plain,
! [X0] : skaf56(X0) = tl(cons(sk5,skaf56(X0))),
inference(resolution,[],[f552,f39]) ).
fof(f570,plain,
! [X0] : skaf57(X0) = tl(cons(sk5,skaf57(X0))),
inference(resolution,[],[f552,f38]) ).
fof(f569,plain,
! [X0] : skaf58(X0) = tl(cons(sk5,skaf58(X0))),
inference(resolution,[],[f552,f37]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f568,plain,
! [X0] : skaf61(X0) = tl(cons(sk5,skaf61(X0))),
inference(resolution,[],[f552,f34]) ).
fof(f567,plain,
! [X0] : skaf62(X0) = tl(cons(sk5,skaf62(X0))),
inference(resolution,[],[f552,f33]) ).
fof(f566,plain,
! [X0] : skaf63(X0) = tl(cons(sk5,skaf63(X0))),
inference(resolution,[],[f552,f32]) ).
fof(f565,plain,
! [X0] : skaf66(X0) = tl(cons(sk5,skaf66(X0))),
inference(resolution,[],[f552,f29]) ).
fof(f564,plain,
! [X0] : skaf67(X0) = tl(cons(sk5,skaf67(X0))),
inference(resolution,[],[f552,f28]) ).
fof(f563,plain,
! [X0] : skaf68(X0) = tl(cons(sk5,skaf68(X0))),
inference(resolution,[],[f552,f27]) ).
fof(f562,plain,
! [X0] : skaf71(X0) = tl(cons(sk5,skaf71(X0))),
inference(resolution,[],[f552,f24]) ).
fof(f561,plain,
! [X0] : skaf72(X0) = tl(cons(sk5,skaf72(X0))),
inference(resolution,[],[f552,f23]) ).
fof(f560,plain,
! [X0] : skaf73(X0) = tl(cons(sk5,skaf73(X0))),
inference(resolution,[],[f552,f22]) ).
fof(f559,plain,
! [X0] : skaf75(X0) = tl(cons(sk5,skaf75(X0))),
inference(resolution,[],[f552,f20]) ).
fof(f558,plain,
! [X0] : skaf76(X0) = tl(cons(sk5,skaf76(X0))),
inference(resolution,[],[f552,f19]) ).
fof(f102,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X0)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f557,plain,
! [X0] : skaf77(X0) = tl(cons(sk5,skaf77(X0))),
inference(resolution,[],[f552,f18]) ).
fof(f556,plain,
! [X0] : skaf80(X0) = tl(cons(sk5,skaf80(X0))),
inference(resolution,[],[f552,f15]) ).
fof(f555,plain,
! [X0] : skaf81(X0) = tl(cons(sk5,skaf81(X0))),
inference(resolution,[],[f552,f14]) ).
fof(f554,plain,
! [X0] : skaf82(X0) = tl(cons(sk5,skaf82(X0))),
inference(resolution,[],[f552,f13]) ).
fof(f642,plain,
! [X0] : sk5 = hd(cons(sk5,skaf51(X0))),
inference(resolution,[],[f620,f44]) ).
fof(f641,plain,
! [X0] : sk5 = hd(cons(sk5,skaf52(X0))),
inference(resolution,[],[f620,f43]) ).
fof(f640,plain,
! [X0] : sk5 = hd(cons(sk5,skaf53(X0))),
inference(resolution,[],[f620,f42]) ).
fof(f639,plain,
! [X0] : sk5 = hd(cons(sk5,skaf56(X0))),
inference(resolution,[],[f620,f39]) ).
fof(f638,plain,
! [X0] : sk5 = hd(cons(sk5,skaf57(X0))),
inference(resolution,[],[f620,f38]) ).
fof(f637,plain,
! [X0] : sk5 = hd(cons(sk5,skaf58(X0))),
inference(resolution,[],[f620,f37]) ).
fof(f636,plain,
! [X0] : sk5 = hd(cons(sk5,skaf61(X0))),
inference(resolution,[],[f620,f34]) ).
fof(f635,plain,
! [X0] : sk5 = hd(cons(sk5,skaf62(X0))),
inference(resolution,[],[f620,f33]) ).
fof(f634,plain,
! [X0] : sk5 = hd(cons(sk5,skaf63(X0))),
inference(resolution,[],[f620,f32]) ).
fof(f633,plain,
! [X0] : sk5 = hd(cons(sk5,skaf66(X0))),
inference(resolution,[],[f620,f29]) ).
fof(f632,plain,
! [X0] : sk5 = hd(cons(sk5,skaf67(X0))),
inference(resolution,[],[f620,f28]) ).
fof(f631,plain,
! [X0] : sk5 = hd(cons(sk5,skaf68(X0))),
inference(resolution,[],[f620,f27]) ).
fof(f630,plain,
! [X0] : sk5 = hd(cons(sk5,skaf71(X0))),
inference(resolution,[],[f620,f24]) ).
fof(f629,plain,
! [X0] : sk5 = hd(cons(sk5,skaf72(X0))),
inference(resolution,[],[f620,f23]) ).
fof(f628,plain,
! [X0] : sk5 = hd(cons(sk5,skaf73(X0))),
inference(resolution,[],[f620,f22]) ).
fof(f627,plain,
! [X0] : sk5 = hd(cons(sk5,skaf75(X0))),
inference(resolution,[],[f620,f20]) ).
fof(f626,plain,
! [X0] : sk5 = hd(cons(sk5,skaf76(X0))),
inference(resolution,[],[f620,f19]) ).
fof(f625,plain,
! [X0] : sk5 = hd(cons(sk5,skaf77(X0))),
inference(resolution,[],[f620,f18]) ).
fof(f624,plain,
! [X0] : sk5 = hd(cons(sk5,skaf80(X0))),
inference(resolution,[],[f620,f15]) ).
fof(f623,plain,
! [X0] : sk5 = hd(cons(sk5,skaf81(X0))),
inference(resolution,[],[f620,f14]) ).
fof(f622,plain,
! [X0] : sk5 = hd(cons(sk5,skaf82(X0))),
inference(resolution,[],[f620,f13]) ).
fof(f657,plain,
sk5 = hd(cons(sk5,sk7)),
inference(resolution,[],[f620,f256]) ).
fof(f656,plain,
sk5 = hd(cons(sk5,sk6)),
inference(resolution,[],[f620,f254]) ).
fof(f653,plain,
sk5 = hd(cons(sk5,sk2)),
inference(resolution,[],[f620,f187]) ).
fof(f652,plain,
sk5 = hd(cons(sk5,sk1)),
inference(resolution,[],[f620,f186]) ).
fof(f621,plain,
sk5 = hd(cons(sk5,nil)),
inference(resolution,[],[f620,f8]) ).
fof(f659,plain,
sk5 = hd(cons(sk5,sk2)),
inference(forward_demodulation,[],[f655,f190]) ).
fof(f655,plain,
sk5 = hd(cons(sk5,sk4)),
inference(resolution,[],[f620,f189]) ).
fof(f658,plain,
sk5 = hd(cons(sk5,sk1)),
inference(forward_demodulation,[],[f654,f191]) ).
fof(f654,plain,
sk5 = hd(cons(sk5,sk3)),
inference(resolution,[],[f620,f188]) ).
fof(f651,plain,
! [X0] :
( sk5 = hd(cons(sk5,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f620,f75]) ).
fof(f650,plain,
! [X0,X1] :
( sk5 = hd(cons(sk5,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f620,f85]) ).
fof(f649,plain,
! [X0,X1] :
( sk5 = hd(cons(sk5,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f620,f86]) ).
fof(f620,plain,
! [X0] :
( ~ ssList(X0)
| sk5 = hd(cons(sk5,X0)) ),
inference(resolution,[],[f97,f252]) ).
fof(f619,plain,
! [X0,X1] :
( ~ ssList(X0)
| hd(X1) = hd(cons(hd(X1),X0))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f97,f76]) ).
fof(f618,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf44(X1) = hd(cons(skaf44(X1),X0)) ),
inference(resolution,[],[f97,f47]) ).
fof(f617,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf49(X1) = hd(cons(skaf49(X1),X0)) ),
inference(resolution,[],[f97,f46]) ).
fof(f616,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf50(X1) = hd(cons(skaf50(X1),X0)) ),
inference(resolution,[],[f97,f45]) ).
fof(f615,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf54(X1) = hd(cons(skaf54(X1),X0)) ),
inference(resolution,[],[f97,f41]) ).
fof(f614,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf55(X1) = hd(cons(skaf55(X1),X0)) ),
inference(resolution,[],[f97,f40]) ).
fof(f613,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf59(X1) = hd(cons(skaf59(X1),X0)) ),
inference(resolution,[],[f97,f36]) ).
fof(f612,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf60(X1) = hd(cons(skaf60(X1),X0)) ),
inference(resolution,[],[f97,f35]) ).
fof(f611,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf64(X1) = hd(cons(skaf64(X1),X0)) ),
inference(resolution,[],[f97,f31]) ).
fof(f610,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf65(X1) = hd(cons(skaf65(X1),X0)) ),
inference(resolution,[],[f97,f30]) ).
fof(f609,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf69(X1) = hd(cons(skaf69(X1),X0)) ),
inference(resolution,[],[f97,f26]) ).
fof(f608,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf70(X1) = hd(cons(skaf70(X1),X0)) ),
inference(resolution,[],[f97,f25]) ).
fof(f607,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf74(X1) = hd(cons(skaf74(X1),X0)) ),
inference(resolution,[],[f97,f21]) ).
fof(f606,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf78(X1) = hd(cons(skaf78(X1),X0)) ),
inference(resolution,[],[f97,f17]) ).
fof(f605,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf79(X1) = hd(cons(skaf79(X1),X0)) ),
inference(resolution,[],[f97,f16]) ).
fof(f604,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf83(X1) = hd(cons(skaf83(X1),X0)) ),
inference(resolution,[],[f97,f12]) ).
fof(f589,plain,
sk7 = tl(cons(sk5,sk7)),
inference(resolution,[],[f552,f256]) ).
fof(f588,plain,
sk6 = tl(cons(sk5,sk6)),
inference(resolution,[],[f552,f254]) ).
fof(f585,plain,
sk2 = tl(cons(sk5,sk2)),
inference(resolution,[],[f552,f187]) ).
fof(f584,plain,
sk1 = tl(cons(sk5,sk1)),
inference(resolution,[],[f552,f186]) ).
fof(f591,plain,
sk2 = tl(cons(sk5,sk2)),
inference(forward_demodulation,[],[f587,f190]) ).
fof(f587,plain,
sk4 = tl(cons(sk5,sk4)),
inference(resolution,[],[f552,f189]) ).
fof(f590,plain,
sk1 = tl(cons(sk5,sk1)),
inference(forward_demodulation,[],[f586,f191]) ).
fof(f586,plain,
sk3 = tl(cons(sk5,sk3)),
inference(resolution,[],[f552,f188]) ).
fof(f583,plain,
! [X0] :
( tl(X0) = tl(cons(sk5,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f552,f75]) ).
fof(f582,plain,
! [X0,X1] :
( app(X0,X1) = tl(cons(sk5,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f552,f85]) ).
fof(f581,plain,
! [X0,X1] :
( cons(X0,X1) = tl(cons(sk5,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f552,f86]) ).
fof(f551,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(hd(X1),X0)) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f96,f76]) ).
fof(f550,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf44(X1),X0)) = X0 ),
inference(resolution,[],[f96,f47]) ).
fof(f549,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf49(X1),X0)) = X0 ),
inference(resolution,[],[f96,f46]) ).
fof(f548,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf50(X1),X0)) = X0 ),
inference(resolution,[],[f96,f45]) ).
fof(f547,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf54(X1),X0)) = X0 ),
inference(resolution,[],[f96,f41]) ).
fof(f546,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf55(X1),X0)) = X0 ),
inference(resolution,[],[f96,f40]) ).
fof(f545,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf59(X1),X0)) = X0 ),
inference(resolution,[],[f96,f36]) ).
fof(f544,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf60(X1),X0)) = X0 ),
inference(resolution,[],[f96,f35]) ).
fof(f543,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf64(X1),X0)) = X0 ),
inference(resolution,[],[f96,f31]) ).
fof(f542,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf65(X1),X0)) = X0 ),
inference(resolution,[],[f96,f30]) ).
fof(f541,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf69(X1),X0)) = X0 ),
inference(resolution,[],[f96,f26]) ).
fof(f540,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf70(X1),X0)) = X0 ),
inference(resolution,[],[f96,f25]) ).
fof(f539,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf74(X1),X0)) = X0 ),
inference(resolution,[],[f96,f21]) ).
fof(f538,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf78(X1),X0)) = X0 ),
inference(resolution,[],[f96,f17]) ).
fof(f537,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf79(X1),X0)) = X0 ),
inference(resolution,[],[f96,f16]) ).
fof(f536,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf83(X1),X0)) = X0 ),
inference(resolution,[],[f96,f12]) ).
fof(f366,plain,
! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
inference(resolution,[],[f74,f53]) ).
fof(f365,plain,
! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
inference(resolution,[],[f74,f52]) ).
fof(f363,plain,
! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
inference(resolution,[],[f74,f50]) ).
fof(f362,plain,
! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
inference(resolution,[],[f74,f49]) ).
fof(f361,plain,
! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)),
inference(resolution,[],[f74,f48]) ).
fof(f330,plain,
! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil),
inference(resolution,[],[f73,f53]) ).
fof(f329,plain,
! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil),
inference(resolution,[],[f73,f52]) ).
fof(f328,plain,
! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil),
inference(resolution,[],[f73,f51]) ).
fof(f327,plain,
! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
inference(resolution,[],[f73,f50]) ).
fof(f326,plain,
! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil),
inference(resolution,[],[f73,f49]) ).
fof(f325,plain,
! [X0,X1] : skaf48(X0,X1) = app(skaf48(X0,X1),nil),
inference(resolution,[],[f73,f48]) ).
fof(f450,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,X0),nil) ),
inference(resolution,[],[f86,f73]) ).
fof(f449,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(nil,cons(X1,X0)) ),
inference(resolution,[],[f86,f74]) ).
fof(f394,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(app(X0,X1),nil) ),
inference(resolution,[],[f85,f73]) ).
fof(f393,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/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f360,plain,
! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
inference(resolution,[],[f74,f44]) ).
fof(f359,plain,
! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
inference(resolution,[],[f74,f43]) ).
fof(f358,plain,
! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
inference(resolution,[],[f74,f42]) ).
fof(f357,plain,
! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
inference(resolution,[],[f74,f39]) ).
fof(f356,plain,
! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
inference(resolution,[],[f74,f38]) ).
fof(f355,plain,
! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
inference(resolution,[],[f74,f37]) ).
fof(f354,plain,
! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
inference(resolution,[],[f74,f34]) ).
fof(f353,plain,
! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
inference(resolution,[],[f74,f33]) ).
fof(f352,plain,
! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
inference(resolution,[],[f74,f32]) ).
fof(f351,plain,
! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
inference(resolution,[],[f74,f29]) ).
fof(f350,plain,
! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
inference(resolution,[],[f74,f28]) ).
fof(f349,plain,
! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
inference(resolution,[],[f74,f27]) ).
fof(f348,plain,
! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
inference(resolution,[],[f74,f24]) ).
fof(f347,plain,
! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
inference(resolution,[],[f74,f23]) ).
fof(f346,plain,
! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
inference(resolution,[],[f74,f22]) ).
fof(f345,plain,
! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
inference(resolution,[],[f74,f20]) ).
fof(f344,plain,
! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
inference(resolution,[],[f74,f19]) ).
fof(f343,plain,
! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
inference(resolution,[],[f74,f18]) ).
fof(f342,plain,
! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
inference(resolution,[],[f74,f15]) ).
fof(f341,plain,
! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
inference(resolution,[],[f74,f14]) ).
fof(f340,plain,
! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
inference(resolution,[],[f74,f13]) ).
fof(f324,plain,
! [X0] : skaf51(X0) = app(skaf51(X0),nil),
inference(resolution,[],[f73,f44]) ).
fof(f323,plain,
! [X0] : skaf52(X0) = app(skaf52(X0),nil),
inference(resolution,[],[f73,f43]) ).
fof(f322,plain,
! [X0] : skaf53(X0) = app(skaf53(X0),nil),
inference(resolution,[],[f73,f42]) ).
fof(f321,plain,
! [X0] : skaf56(X0) = app(skaf56(X0),nil),
inference(resolution,[],[f73,f39]) ).
fof(f320,plain,
! [X0] : skaf57(X0) = app(skaf57(X0),nil),
inference(resolution,[],[f73,f38]) ).
fof(f319,plain,
! [X0] : skaf58(X0) = app(skaf58(X0),nil),
inference(resolution,[],[f73,f37]) ).
fof(f318,plain,
! [X0] : skaf61(X0) = app(skaf61(X0),nil),
inference(resolution,[],[f73,f34]) ).
fof(f317,plain,
! [X0] : skaf62(X0) = app(skaf62(X0),nil),
inference(resolution,[],[f73,f33]) ).
fof(f316,plain,
! [X0] : skaf63(X0) = app(skaf63(X0),nil),
inference(resolution,[],[f73,f32]) ).
fof(f315,plain,
! [X0] : skaf66(X0) = app(skaf66(X0),nil),
inference(resolution,[],[f73,f29]) ).
fof(f314,plain,
! [X0] : skaf67(X0) = app(skaf67(X0),nil),
inference(resolution,[],[f73,f28]) ).
fof(f313,plain,
! [X0] : skaf68(X0) = app(skaf68(X0),nil),
inference(resolution,[],[f73,f27]) ).
fof(f312,plain,
! [X0] : skaf71(X0) = app(skaf71(X0),nil),
inference(resolution,[],[f73,f24]) ).
fof(f311,plain,
! [X0] : skaf72(X0) = app(skaf72(X0),nil),
inference(resolution,[],[f73,f23]) ).
fof(f310,plain,
! [X0] : skaf73(X0) = app(skaf73(X0),nil),
inference(resolution,[],[f73,f22]) ).
fof(f309,plain,
! [X0] : skaf75(X0) = app(skaf75(X0),nil),
inference(resolution,[],[f73,f20]) ).
fof(f376,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f75,f73]) ).
fof(f375,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ),
inference(resolution,[],[f75,f74]) ).
fof(f308,plain,
! [X0] : skaf76(X0) = app(skaf76(X0),nil),
inference(resolution,[],[f73,f19]) ).
fof(f307,plain,
! [X0] : skaf77(X0) = app(skaf77(X0),nil),
inference(resolution,[],[f73,f18]) ).
fof(f306,plain,
! [X0] : skaf80(X0) = app(skaf80(X0),nil),
inference(resolution,[],[f73,f15]) ).
fof(f305,plain,
! [X0] : skaf81(X0) = app(skaf81(X0),nil),
inference(resolution,[],[f73,f14]) ).
fof(f304,plain,
! [X0] : skaf82(X0) = app(skaf82(X0),nil),
inference(resolution,[],[f73,f13]) ).
fof(f371,plain,
sk6 = app(nil,sk6),
inference(resolution,[],[f74,f254]) ).
fof(f368,plain,
sk2 = app(nil,sk2),
inference(resolution,[],[f74,f187]) ).
fof(f374,plain,
sk2 = app(nil,sk2),
inference(forward_demodulation,[],[f370,f190]) ).
fof(f370,plain,
sk4 = app(nil,sk4),
inference(resolution,[],[f74,f189]) ).
fof(f373,plain,
sk1 = app(nil,sk1),
inference(forward_demodulation,[],[f369,f191]) ).
fof(f369,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f188]) ).
fof(f336,plain,
sk7 = app(sk7,nil),
inference(resolution,[],[f73,f256]) ).
fof(f331,plain,
sk1 = app(sk1,nil),
inference(resolution,[],[f73,f186]) ).
fof(f338,plain,
sk2 = app(sk2,nil),
inference(forward_demodulation,[],[f334,f190]) ).
fof(f334,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f189]) ).
fof(f337,plain,
sk1 = app(sk1,nil),
inference(forward_demodulation,[],[f333,f191]) ).
fof(f333,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f188]) ).
fof(f248,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f202,f195,f204,f203,f197,f196,f193,f206,f205,f238,f199,f239,f198,f240,f207,f200,f241,f201,f194,f242,f11,f1,f2,f5,f6,f7,f4,f3,f9,f10,f8,f54,f12,f47,f16,f17,f21,f30,f26,f25,f31,f41,f45,f46,f40,f36,f35,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f32,f33,f34,f42,f39,f38,f37,f43,f44,f53,f48,f49,f50,f51,f52,f71,f63,f55,f62,f64,f65,f68,f69,f70,f66,f67,f56,f59,f58,f60,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f94,f95,f87,f88,f167,f165,f166,f90,f91,f163,f164,f208,f243,f209,f244,f210,f245,f80,f82,f84,f76,f78,f77,f75,f109,f104,f237,f236,f110,f105,f107,f114,f106,f103,f108,f102,f157,f213,f214,f246,f215,f247,f169,f149,f235,f131,f168,f132,f100,f118,f119,f123,f133,f234,f139,f126,f130,f122,f121,f140,f141,f124,f125,f134,f135,f136,f137,f151,f150,f218,f219,f233]) ).
fof(f236,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f212]) ).
fof(f212,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/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f235,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f216,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/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f245,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f202,f195,f204,f203,f197,f196,f193,f206,f205,f238,f199,f239,f198,f240,f207,f200,f241,f201,f194,f242,f11,f1,f2,f5,f6,f7,f4,f3,f9,f10,f8,f54,f12,f47,f16,f17,f21,f30,f26,f25,f31,f41,f45,f46,f40,f36,f35,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f32,f33,f34,f42,f39,f38,f37,f43,f44,f53,f48,f49,f50,f51,f52,f71,f63,f55,f62,f64,f65,f68,f69,f70,f66,f67,f56,f59,f58,f60,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f94,f95,f87,f88,f167,f165,f166,f90,f91,f163,f164,f208,f243,f209,f244,f210]) ).
fof(f244,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f202,f195,f204,f203,f197,f196,f193,f206,f205,f238,f199,f239,f198,f240,f207,f200,f241,f201,f194,f242,f11,f1,f2,f5,f6,f7,f4,f3,f9,f10,f8,f54,f12,f47,f16,f17,f21,f30,f26,f25,f31,f41,f45,f46,f40,f36,f35,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f32,f33,f34,f42,f39,f38,f37,f43,f44,f53,f48,f49,f50,f51,f52,f71,f63,f55,f62,f64,f65,f68,f69,f70,f66,f67,f56,f59,f58,f60,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f94,f95,f87,f88,f167,f165,f166,f90,f91,f163,f164,f208,f243,f209]) ).
fof(f231,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/sandbox2/benchmark/theBenchmark.p',clause184) ).
fof(f230,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/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f229,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/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f228,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/sandbox2/benchmark/theBenchmark.p',clause182) ).
fof(f227,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/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f226,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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f232,plain,
! [X3,X0,X1] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ ssItem(X3) ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f225,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/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f224,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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause153) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f233,plain,
( ~ ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f221]) ).
fof(f221,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f220]) ).
fof(f220,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/sandbox2/benchmark/theBenchmark.p',clause145) ).
fof(f219,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/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f150,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X0,X2)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
fof(f151,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X2,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f135,axiom,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0)
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f122,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f139,axiom,
! [X2,X0,X1] :
( memberP(cons(X2,X0),X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f247,plain,
! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f202,f195,f204,f203,f197,f196,f193,f206,f205,f238,f199,f239,f198,f240,f207,f200,f241,f201,f194,f242,f11,f1,f2,f5,f6,f7,f4,f3,f9,f10,f8,f54,f12,f47,f16,f17,f21,f30,f26,f25,f31,f41,f45,f46,f40,f36,f35,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f32,f33,f34,f42,f39,f38,f37,f43,f44,f53,f48,f49,f50,f51,f52,f71,f63,f55,f62,f64,f65,f68,f69,f70,f66,f67,f56,f59,f58,f60,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f94,f95,f87,f88,f167,f165,f166,f90,f91,f163,f164,f208,f243,f209,f244,f210,f245,f80,f82,f84,f76,f78,f77,f75,f109,f104,f237,f236,f110,f105,f107,f114,f106,f103,f108,f102,f157,f213,f214,f246,f215]) ).
fof(f215,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/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f246,plain,
! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f202,f195,f204,f203,f197,f196,f193,f206,f205,f238,f199,f239,f198,f240,f207,f200,f241,f201,f194,f242,f11,f1,f2,f5,f6,f7,f4,f3,f9,f10,f8,f54,f12,f47,f16,f17,f21,f30,f26,f25,f31,f41,f45,f46,f40,f36,f35,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f32,f33,f34,f42,f39,f38,f37,f43,f44,f53,f48,f49,f50,f51,f52,f71,f63,f55,f62,f64,f65,f68,f69,f70,f66,f67,f56,f59,f58,f60,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f94,f95,f87,f88,f167,f165,f166,f90,f91,f163,f164,f208,f243,f209,f244,f210,f245,f80,f82,f84,f76,f78,f77,f75,f109,f104,f237,f236,f110,f105,f107,f114,f106,f103,f108,f102,f157,f213,f214]) ).
fof(f214,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/sandbox2/benchmark/theBenchmark.p',clause113) ).
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/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f237,plain,
! [X1] :
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(duplicate_literal_removal,[],[f211]) ).
fof(f211,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/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f77,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f210,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_resolution,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| frontsegP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
fof(f209,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f125,axiom,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f3174,plain,
( spl0_34
| spl0_35
| ~ spl0_36
| spl0_4 ),
inference(avatar_split_clause,[],[f2081,f1093,f3171,f3167,f3163]) ).
fof(f3167,plain,
( spl0_35
<=> strictorderedP(skaf82(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f3171,plain,
( spl0_36
<=> strictorderedP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f2081,plain,
( ~ strictorderedP(sk1)
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| spl0_4 ),
inference(subsumption_resolution,[],[f2080,f12]) ).
fof(f2080,plain,
( ~ strictorderedP(sk1)
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_4 ),
inference(subsumption_resolution,[],[f2074,f13]) ).
fof(f2074,plain,
( ~ strictorderedP(sk1)
| ~ ssList(skaf82(sk1))
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_4 ),
inference(superposition,[],[f124,f1952]) ).
fof(f2208,plain,
( spl0_32
| ~ spl0_33
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f2185,f2154,f2205,f2201]) ).
fof(f2205,plain,
( spl0_33
<=> rearsegP(sk7,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f2154,plain,
( spl0_31
<=> rearsegP(sk2,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f2185,plain,
( ~ rearsegP(sk7,sk2)
| sk2 = sk7
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f2184,f187]) ).
fof(f2184,plain,
( ~ ssList(sk2)
| ~ rearsegP(sk7,sk2)
| sk2 = sk7
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f2181,f256]) ).
fof(f2181,plain,
( ~ ssList(sk7)
| ~ ssList(sk2)
| ~ rearsegP(sk7,sk2)
| sk2 = sk7
| ~ spl0_31 ),
inference(resolution,[],[f2156,f128]) ).
fof(f2156,plain,
( rearsegP(sk2,sk7)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f2154]) ).
fof(f2179,plain,
( ~ spl0_24
| spl0_30 ),
inference(avatar_contradiction_clause,[],[f2178]) ).
fof(f2178,plain,
( $false
| ~ spl0_24
| spl0_30 ),
inference(subsumption_resolution,[],[f2177,f1934]) ).
fof(f2177,plain,
( ~ ssList(cons(sk5,nil))
| spl0_30 ),
inference(subsumption_resolution,[],[f2176,f254]) ).
fof(f2176,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| spl0_30 ),
inference(resolution,[],[f2152,f85]) ).
fof(f2152,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| spl0_30 ),
inference(avatar_component_clause,[],[f2150]) ).
fof(f2157,plain,
( ~ spl0_30
| spl0_31 ),
inference(avatar_split_clause,[],[f1882,f2154,f2150]) ).
fof(f2070,plain,
( spl0_28
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f2061,f2067,f2063]) ).
fof(f2063,plain,
( spl0_28
<=> sk1 = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f2067,plain,
( spl0_29
<=> frontsegP(sk6,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f2061,plain,
( ~ frontsegP(sk6,sk1)
| sk1 = sk6 ),
inference(subsumption_resolution,[],[f2060,f186]) ).
fof(f2060,plain,
( ~ ssList(sk1)
| ~ frontsegP(sk6,sk1)
| sk1 = sk6 ),
inference(subsumption_resolution,[],[f2059,f254]) ).
fof(f2059,plain,
( ~ ssList(sk6)
| ~ ssList(sk1)
| ~ frontsegP(sk6,sk1)
| sk1 = sk6 ),
inference(resolution,[],[f2058,f129]) ).
fof(f2058,plain,
frontsegP(sk1,sk6),
inference(subsumption_resolution,[],[f2057,f256]) ).
fof(f2057,plain,
( frontsegP(sk1,sk6)
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f2050,f254]) ).
fof(f2050,plain,
( frontsegP(sk1,sk6)
| ~ ssList(sk6)
| ~ ssList(sk7) ),
inference(superposition,[],[f1955,f302]) ).
fof(f1955,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f219,f85]) ).
fof(f1984,plain,
( spl0_26
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1958,f1981,f1977]) ).
fof(f1958,plain,
( ~ rearsegP(sk7,sk1)
| sk1 = sk7 ),
inference(subsumption_resolution,[],[f1957,f186]) ).
fof(f1957,plain,
( ~ ssList(sk1)
| ~ rearsegP(sk7,sk1)
| sk1 = sk7 ),
inference(subsumption_resolution,[],[f1956,f256]) ).
fof(f1956,plain,
( ~ ssList(sk7)
| ~ ssList(sk1)
| ~ rearsegP(sk7,sk1)
| sk1 = sk7 ),
inference(resolution,[],[f1887,f128]) ).
fof(f1944,plain,
spl0_24,
inference(avatar_contradiction_clause,[],[f1943]) ).
fof(f1943,plain,
( $false
| spl0_24 ),
inference(subsumption_resolution,[],[f1942,f252]) ).
fof(f1942,plain,
( ~ ssItem(sk5)
| spl0_24 ),
inference(subsumption_resolution,[],[f1941,f8]) ).
fof(f1941,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_24 ),
inference(resolution,[],[f1935,f86]) ).
fof(f1935,plain,
( ~ ssList(cons(sk5,nil))
| spl0_24 ),
inference(avatar_component_clause,[],[f1933]) ).
fof(f1940,plain,
( ~ spl0_24
| spl0_25
| ~ spl0_4
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1931,f1895,f1093,f1937,f1933]) ).
fof(f1895,plain,
( spl0_23
<=> ssList(app(nil,cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1931,plain,
( rearsegP(sk2,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ spl0_4
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f1926,f8]) ).
fof(f1926,plain,
( rearsegP(sk2,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ ssList(nil)
| ~ spl0_4
| ~ spl0_23 ),
inference(superposition,[],[f1789,f1922]) ).
fof(f1922,plain,
( sk2 = app(nil,cons(sk5,nil))
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1909,f1332]) ).
fof(f1332,plain,
( sk2 = app(app(nil,cons(sk5,nil)),nil)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1303,f1311]) ).
fof(f1311,plain,
( nil = sk7
| ~ spl0_4 ),
inference(superposition,[],[f1310,f372]) ).
fof(f1310,plain,
( nil = app(nil,sk7)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1300,f1095]) ).
fof(f1095,plain,
( nil = sk1
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f1300,plain,
( sk1 = app(nil,sk7)
| ~ spl0_4 ),
inference(superposition,[],[f302,f1297]) ).
fof(f1297,plain,
( nil = sk6
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1296,f256]) ).
fof(f1296,plain,
( nil = sk6
| ~ ssList(sk7)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1295,f254]) ).
fof(f1295,plain,
( ~ ssList(sk6)
| nil = sk6
| ~ ssList(sk7)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1292,f1095]) ).
fof(f1303,plain,
( sk2 = app(app(nil,cons(sk5,nil)),sk7)
| ~ spl0_4 ),
inference(superposition,[],[f529,f1297]) ).
fof(f1909,plain,
( app(nil,cons(sk5,nil)) = app(app(nil,cons(sk5,nil)),nil)
| ~ spl0_23 ),
inference(resolution,[],[f1896,f73]) ).
fof(f1896,plain,
( ssList(app(nil,cons(sk5,nil)))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f1895]) ).
fof(f1908,plain,
spl0_23,
inference(avatar_contradiction_clause,[],[f1907]) ).
fof(f1907,plain,
( $false
| spl0_23 ),
inference(subsumption_resolution,[],[f1906,f252]) ).
fof(f1906,plain,
( ~ ssItem(sk5)
| spl0_23 ),
inference(subsumption_resolution,[],[f1905,f8]) ).
fof(f1905,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_23 ),
inference(resolution,[],[f1904,f86]) ).
fof(f1904,plain,
( ~ ssList(cons(sk5,nil))
| spl0_23 ),
inference(subsumption_resolution,[],[f1903,f8]) ).
fof(f1903,plain,
( ~ ssList(nil)
| ~ ssList(cons(sk5,nil))
| spl0_23 ),
inference(resolution,[],[f1897,f85]) ).
fof(f1897,plain,
( ~ ssList(app(nil,cons(sk5,nil)))
| spl0_23 ),
inference(avatar_component_clause,[],[f1895]) ).
fof(f1901,plain,
spl0_22,
inference(avatar_contradiction_clause,[],[f1900]) ).
fof(f1900,plain,
( $false
| spl0_22 ),
inference(subsumption_resolution,[],[f1899,f187]) ).
fof(f1899,plain,
( ~ ssList(sk2)
| spl0_22 ),
inference(resolution,[],[f1892,f58]) ).
fof(f1892,plain,
( ~ rearsegP(sk2,nil)
| spl0_22 ),
inference(avatar_component_clause,[],[f1891]) ).
fof(f1898,plain,
( spl0_22
| ~ spl0_23
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1884,f1093,f1895,f1891]) ).
fof(f1884,plain,
( ~ ssList(app(nil,cons(sk5,nil)))
| rearsegP(sk2,nil)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1883,f1297]) ).
fof(f1883,plain,
( rearsegP(sk2,nil)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1882,f1311]) ).
fof(f1645,plain,
( spl0_20
| ~ spl0_21
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f1636,f1624,f1551,f1196,f1180,f1642,f1638]) ).
fof(f1638,plain,
( spl0_20
<=> totalorderedP(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1642,plain,
( spl0_21
<=> totalorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1180,plain,
( spl0_7
<=> sk2 = cons(hd(sk2),tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1196,plain,
( spl0_9
<=> ssItem(hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1551,plain,
( spl0_13
<=> ssList(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1624,plain,
( spl0_17
<=> nil = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1636,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| spl0_17 ),
inference(subsumption_resolution,[],[f1620,f1625]) ).
fof(f1625,plain,
( nil != tl(sk2)
| spl0_17 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f1620,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| nil = tl(sk2)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1619,f1197]) ).
fof(f1197,plain,
( ssItem(hd(sk2))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1619,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_7
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1616,f1552]) ).
fof(f1552,plain,
( ssList(tl(sk2))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f1551]) ).
fof(f1616,plain,
( ~ totalorderedP(sk2)
| ~ ssList(tl(sk2))
| totalorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_7 ),
inference(superposition,[],[f125,f1182]) ).
fof(f1182,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f1635,plain,
( spl0_17
| spl0_18
| ~ spl0_19
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1582,f1551,f1196,f1180,f1632,f1628,f1624]) ).
fof(f1628,plain,
( spl0_18
<=> strictorderedP(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1632,plain,
( spl0_19
<=> strictorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1582,plain,
( ~ strictorderedP(sk2)
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1581,f1197]) ).
fof(f1581,plain,
( ~ strictorderedP(sk2)
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_7
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1578,f1552]) ).
fof(f1578,plain,
( ~ strictorderedP(sk2)
| ~ ssList(tl(sk2))
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_7 ),
inference(superposition,[],[f124,f1182]) ).
fof(f1612,plain,
( spl0_15
| ~ spl0_16
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1586,f1555,f1196,f1609,f1605]) ).
fof(f1605,plain,
( spl0_15
<=> sk5 = hd(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1609,plain,
( spl0_16
<=> geq(hd(sk2),sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1555,plain,
( spl0_14
<=> memberP(sk2,hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1586,plain,
( ~ geq(hd(sk2),sk5)
| sk5 = hd(sk2)
| ~ spl0_9
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f1585,f1197]) ).
fof(f1585,plain,
( ~ ssItem(hd(sk2))
| ~ geq(hd(sk2),sk5)
| sk5 = hd(sk2)
| ~ spl0_14 ),
inference(resolution,[],[f1557,f1005]) ).
fof(f1557,plain,
( memberP(sk2,hd(sk2))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f1562,plain,
( spl0_8
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1561]) ).
fof(f1561,plain,
( $false
| spl0_8
| spl0_13 ),
inference(subsumption_resolution,[],[f1560,f187]) ).
fof(f1560,plain,
( ~ ssList(sk2)
| spl0_8
| spl0_13 ),
inference(subsumption_resolution,[],[f1559,f1185]) ).
fof(f1185,plain,
( nil != sk2
| spl0_8 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f1184,plain,
( spl0_8
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1559,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_13 ),
inference(resolution,[],[f1553,f75]) ).
fof(f1553,plain,
( ~ ssList(tl(sk2))
| spl0_13 ),
inference(avatar_component_clause,[],[f1551]) ).
fof(f1558,plain,
( ~ spl0_13
| spl0_14
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1549,f1196,f1180,f1555,f1551]) ).
fof(f1549,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| ~ spl0_7
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1188,f1197]) ).
fof(f1188,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| ~ spl0_7 ),
inference(superposition,[],[f234,f1182]) ).
fof(f1548,plain,
( spl0_11
| ~ spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f1539,f1184,f1545,f1541]) ).
fof(f1541,plain,
( spl0_11
<=> sk5 = skaf83(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1545,plain,
( spl0_12
<=> geq(skaf83(sk2),sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1539,plain,
( ~ geq(skaf83(sk2),sk5)
| sk5 = skaf83(sk2)
| spl0_8 ),
inference(subsumption_resolution,[],[f1538,f12]) ).
fof(f1538,plain,
( ~ ssItem(skaf83(sk2))
| ~ geq(skaf83(sk2),sk5)
| sk5 = skaf83(sk2)
| spl0_8 ),
inference(resolution,[],[f1535,f1005]) ).
fof(f1535,plain,
( memberP(sk2,skaf83(sk2))
| spl0_8 ),
inference(subsumption_resolution,[],[f1534,f12]) ).
fof(f1534,plain,
( memberP(sk2,skaf83(sk2))
| ~ ssItem(skaf83(sk2))
| spl0_8 ),
inference(subsumption_resolution,[],[f1529,f13]) ).
fof(f1529,plain,
( memberP(sk2,skaf83(sk2))
| ~ ssList(skaf82(sk2))
| ~ ssItem(skaf83(sk2))
| spl0_8 ),
inference(superposition,[],[f234,f1528]) ).
fof(f1528,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| spl0_8 ),
inference(subsumption_resolution,[],[f1170,f1185]) ).
fof(f1226,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f1225]) ).
fof(f1225,plain,
( $false
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1224,f8]) ).
fof(f1224,plain,
( ~ ssList(nil)
| ~ spl0_8 ),
inference(resolution,[],[f1210,f235]) ).
fof(f1210,plain,
( neq(nil,nil)
| ~ spl0_8 ),
inference(superposition,[],[f238,f1186]) ).
fof(f1186,plain,
( nil = sk2
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f1207,plain,
( spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1206]) ).
fof(f1206,plain,
( $false
| spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f1205,f187]) ).
fof(f1205,plain,
( ~ ssList(sk2)
| spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f1204,f1185]) ).
fof(f1204,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_9 ),
inference(resolution,[],[f1198,f76]) ).
fof(f1198,plain,
( ~ ssItem(hd(sk2))
| spl0_9 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1203,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1194,f1180,f1200,f1196]) ).
fof(f1200,plain,
( spl0_10
<=> sk2 = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1194,plain,
( sk2 != tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1193,f187]) ).
fof(f1193,plain,
( sk2 != tl(sk2)
| ~ ssList(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_7 ),
inference(inner_rewriting,[],[f1189]) ).
fof(f1189,plain,
( sk2 != tl(sk2)
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| ~ spl0_7 ),
inference(superposition,[],[f99,f1182]) ).
fof(f1187,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f1078,f1184,f1180]) ).
fof(f1116,plain,
( spl0_4
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f1115]) ).
fof(f1115,plain,
( $false
| spl0_4
| spl0_5 ),
inference(subsumption_resolution,[],[f1114,f186]) ).
fof(f1114,plain,
( ~ ssList(sk1)
| spl0_4
| spl0_5 ),
inference(subsumption_resolution,[],[f1113,f1094]) ).
fof(f1113,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_5 ),
inference(resolution,[],[f1107,f76]) ).
fof(f1107,plain,
( ~ ssItem(hd(sk1))
| spl0_5 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f1112,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1103,f1089,f1109,f1105]) ).
fof(f1109,plain,
( spl0_6
<=> sk1 = tl(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1103,plain,
( sk1 != tl(sk1)
| ~ ssItem(hd(sk1))
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f1102,f186]) ).
fof(f1102,plain,
( sk1 != tl(sk1)
| ~ ssList(sk1)
| ~ ssItem(hd(sk1))
| ~ spl0_3 ),
inference(inner_rewriting,[],[f1098]) ).
fof(f1098,plain,
( sk1 != tl(sk1)
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| ~ spl0_3 ),
inference(superposition,[],[f99,f1091]) ).
fof(f1096,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f1077,f1093,f1089]) ).
fof(f263,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f72,f261,f258]) ).
fof(f258,plain,
( spl0_1
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f261,plain,
( spl0_2
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC003-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 04:39:13 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (8722)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (8725)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (8726)WARNING: value z3 for option sas not known
% 0.14/0.37 % (8724)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (8728)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)
% 0.14/0.37 % (8726)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)
% 0.14/0.37 % (8729)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)
% 0.14/0.37 % (8727)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (8730)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.40 TRYING [3]
% 0.21/0.43 TRYING [1]
% 0.21/0.44 TRYING [2]
% 0.21/0.45 TRYING [4]
% 0.21/0.50 TRYING [3]
% 0.21/0.56 % (8726)First to succeed.
% 0.21/0.56 TRYING [5]
% 0.21/0.57 % (8726)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (8726)------------------------------
% 0.21/0.57 % (8726)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.57 % (8726)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (8726)Memory used [KB]: 4330
% 0.21/0.57 % (8726)Time elapsed: 0.197 s
% 0.21/0.57 % (8726)Instructions burned: 579 (million)
% 0.21/0.57 % (8726)------------------------------
% 0.21/0.57 % (8726)------------------------------
% 0.21/0.57 % (8722)Success in time 0.211 s
%------------------------------------------------------------------------------