TSTP Solution File: SWC355-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC355-1 : 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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 10:25:12 EDT 2024
% Result : Unsatisfiable 5.08s 1.13s
% Output : Refutation 5.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 102
% Syntax : Number of formulae : 397 ( 29 unt; 0 def)
% Number of atoms : 1291 ( 154 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 1625 ( 731 ~; 842 |; 0 &)
% ( 52 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 66 ( 64 usr; 53 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-2 aty)
% Number of variables : 177 ( 177 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15161,plain,
$false,
inference(avatar_sat_refutation,[],[f250,f1014,f1030,f1034,f1052,f1221,f1225,f1385,f1404,f1499,f1532,f1563,f1575,f1585,f1589,f1649,f1653,f1852,f1988,f3498,f3660,f7060,f7467,f7714,f7808,f7819,f7875,f9583,f9585,f9587,f9589,f9591,f9593,f13775,f13807,f14930,f14939,f15153,f15160]) ).
fof(f15160,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f15159]) ).
fof(f15159,plain,
( $false
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f15158,f187]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f15158,plain,
( ~ ssList(sk2)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f15157,f356]) ).
fof(f356,plain,
sk2 = app(sk1,cons(sk5,nil)),
inference(forward_demodulation,[],[f355,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f355,plain,
sk4 = app(sk1,cons(sk5,nil)),
inference(forward_demodulation,[],[f354,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f354,plain,
sk4 = app(sk3,cons(sk5,nil)),
inference(subsumption_resolution,[],[f353,f230]) ).
fof(f230,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(f353,plain,
( ~ neq(sk2,nil)
| sk4 = app(sk3,cons(sk5,nil)) ),
inference(forward_demodulation,[],[f198,f190]) ).
fof(f198,axiom,
( ~ neq(sk4,nil)
| sk4 = app(sk3,cons(sk5,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f15157,plain,
( ~ ssList(app(sk1,cons(sk5,nil)))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f15156,f1215]) ).
fof(f1215,plain,
( ssList(cons(sk5,nil))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f1214,plain,
( spl0_7
<=> ssList(cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f15156,plain,
( ~ ssList(app(sk1,cons(sk5,nil)))
| ~ ssList(cons(sk5,nil)) ),
inference(subsumption_resolution,[],[f15140,f243]) ).
fof(f243,plain,
~ segmentP(sk2,sk1),
inference(subsumption_resolution,[],[f242,f230]) ).
fof(f242,plain,
( ~ neq(sk2,nil)
| ~ segmentP(sk2,sk1) ),
inference(forward_demodulation,[],[f199,f190]) ).
fof(f199,axiom,
( ~ segmentP(sk2,sk1)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f15140,plain,
( segmentP(sk2,sk1)
| ~ ssList(app(sk1,cons(sk5,nil)))
| ~ ssList(cons(sk5,nil)) ),
inference(superposition,[],[f7357,f356]) ).
fof(f7357,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(sk1,X0))
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f7356,f347]) ).
fof(f347,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(f7356,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f7355,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f7355,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f7135,f186]) ).
fof(f7135,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(sk1)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f215,f347]) ).
fof(f215,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f15153,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f15152]) ).
fof(f15152,plain,
( $false
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f15151,f187]) ).
fof(f15151,plain,
( ~ ssList(sk2)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f15150,f2186]) ).
fof(f2186,plain,
( sk2 = app(sk1,skaf45(sk2,sk1))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f2185,f186]) ).
fof(f2185,plain,
( ~ ssList(sk1)
| sk2 = app(sk1,skaf45(sk2,sk1))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f2176,f187]) ).
fof(f2176,plain,
( ~ ssList(sk2)
| ~ ssList(sk1)
| sk2 = app(sk1,skaf45(sk2,sk1))
| ~ spl0_7 ),
inference(resolution,[],[f132,f1976]) ).
fof(f1976,plain,
( frontsegP(sk2,sk1)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1975,f1215]) ).
fof(f1975,plain,
( frontsegP(sk2,sk1)
| ~ ssList(cons(sk5,nil)) ),
inference(subsumption_resolution,[],[f1966,f186]) ).
fof(f1966,plain,
( frontsegP(sk2,sk1)
| ~ ssList(sk1)
| ~ ssList(cons(sk5,nil)) ),
inference(superposition,[],[f1896,f356]) ).
fof(f1896,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f211,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f211,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(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(f15150,plain,
( ~ ssList(app(sk1,skaf45(sk2,sk1)))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f15149,f51]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f15149,plain,
( ~ ssList(app(sk1,skaf45(sk2,sk1)))
| ~ ssList(skaf45(sk2,sk1))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f15138,f243]) ).
fof(f15138,plain,
( segmentP(sk2,sk1)
| ~ ssList(app(sk1,skaf45(sk2,sk1)))
| ~ ssList(skaf45(sk2,sk1))
| ~ spl0_7 ),
inference(superposition,[],[f7357,f2186]) ).
fof(f14939,plain,
( spl0_51
| spl0_52
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f13762,f1642,f1218,f1214,f1023,f1011,f245,f14936,f14932]) ).
fof(f14932,plain,
( spl0_51
<=> cyclefreeP(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f14936,plain,
( spl0_52
<=> skaf49(skaf82(sk2)) = skaf50(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f245,plain,
( spl0_1
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1011,plain,
( spl0_4
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1023,plain,
( spl0_5
<=> ssItem(hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1218,plain,
( spl0_8
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1642,plain,
( spl0_23
<=> ssList(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f13762,plain,
( skaf49(skaf82(sk2)) = skaf50(skaf82(sk2))
| cyclefreeP(skaf82(sk2))
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_23 ),
inference(forward_demodulation,[],[f13761,f10272]) ).
fof(f10272,plain,
( tl(sk2) = skaf82(sk2)
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f9792,f9927]) ).
fof(f9927,plain,
( sk2 = cons(skaf83(sk1),skaf82(sk2))
| ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f1535,f9919]) ).
fof(f9919,plain,
( skaf83(sk1) = skaf83(sk2)
| ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f9865,f9780]) ).
fof(f9780,plain,
( hd(sk1) = skaf83(sk1)
| ~ spl0_1
| spl0_4 ),
inference(superposition,[],[f9607,f1092]) ).
fof(f1092,plain,
( sk1 = cons(skaf83(sk1),skaf82(sk1))
| spl0_4 ),
inference(subsumption_resolution,[],[f1087,f1012]) ).
fof(f1012,plain,
( nil != sk1
| spl0_4 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f1087,plain,
( nil = sk1
| sk1 = cons(skaf83(sk1),skaf82(sk1)) ),
inference(resolution,[],[f109,f186]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f9607,plain,
( ! [X0,X1] : hd(cons(X0,skaf82(X1))) = X0
| ~ spl0_1 ),
inference(resolution,[],[f9597,f13]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f9597,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| hd(cons(X1,X0)) = X1 )
| ~ spl0_1 ),
inference(resolution,[],[f246,f97]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f246,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f9865,plain,
( hd(sk1) = skaf83(sk2)
| ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f9781,f2082]) ).
fof(f2082,plain,
( hd(sk1) = hd(sk2)
| spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2073,f356]) ).
fof(f2073,plain,
( hd(sk1) = hd(app(sk1,cons(sk5,nil)))
| spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f2036,f1215]) ).
fof(f2036,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(sk1) = hd(app(sk1,X0)) )
| spl0_4 ),
inference(subsumption_resolution,[],[f2030,f1012]) ).
fof(f2030,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk1
| hd(sk1) = hd(app(sk1,X0)) ),
inference(resolution,[],[f123,f186]) ).
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(f9781,plain,
( hd(sk2) = skaf83(sk2)
| ~ spl0_1
| spl0_8 ),
inference(superposition,[],[f9607,f1535]) ).
fof(f1535,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| spl0_8 ),
inference(subsumption_resolution,[],[f1088,f1220]) ).
fof(f1220,plain,
( nil != sk2
| spl0_8 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f1088,plain,
( nil = sk2
| sk2 = cons(skaf83(sk2),skaf82(sk2)) ),
inference(resolution,[],[f109,f187]) ).
fof(f9792,plain,
( ! [X0] : skaf82(X0) = tl(cons(skaf83(sk1),skaf82(X0)))
| ~ spl0_1
| spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f1108,f9780]) ).
fof(f1108,plain,
( ! [X0] : skaf82(X0) = tl(cons(hd(sk1),skaf82(X0)))
| ~ spl0_5 ),
inference(resolution,[],[f1055,f13]) ).
fof(f1055,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(hd(sk1),X0)) = X0 )
| ~ spl0_5 ),
inference(resolution,[],[f1024,f96]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f1024,plain,
( ssItem(hd(sk1))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f13761,plain,
( cyclefreeP(skaf82(sk2))
| skaf49(tl(sk2)) = skaf50(tl(sk2))
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_23 ),
inference(forward_demodulation,[],[f13753,f10272]) ).
fof(f13753,plain,
( cyclefreeP(tl(sk2))
| skaf49(tl(sk2)) = skaf50(tl(sk2))
| ~ spl0_23 ),
inference(resolution,[],[f1742,f1643]) ).
fof(f1643,plain,
( ssList(tl(sk2))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f1742,plain,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| skaf50(X0) = skaf49(X0) ),
inference(subsumption_resolution,[],[f1741,f88]) ).
fof(f88,axiom,
! [X0] :
( leq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f1741,plain,
! [X0] :
( ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1740,f45]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f1740,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1736,f46]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f1736,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f130,f87]) ).
fof(f87,axiom,
! [X0] :
( leq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
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(f14930,plain,
( spl0_49
| spl0_50
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f13760,f1578,f1023,f1011,f245,f14927,f14923]) ).
fof(f14923,plain,
( spl0_49
<=> cyclefreeP(skaf82(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f14927,plain,
( spl0_50
<=> skaf49(skaf82(sk1)) = skaf50(skaf82(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f1578,plain,
( spl0_21
<=> ssList(tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f13760,plain,
( skaf49(skaf82(sk1)) = skaf50(skaf82(sk1))
| cyclefreeP(skaf82(sk1))
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f13759,f10271]) ).
fof(f10271,plain,
( tl(sk1) = skaf82(sk1)
| ~ spl0_1
| spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f9792,f1092]) ).
fof(f13759,plain,
( cyclefreeP(skaf82(sk1))
| skaf49(tl(sk1)) = skaf50(tl(sk1))
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f13752,f10271]) ).
fof(f13752,plain,
( cyclefreeP(tl(sk1))
| skaf49(tl(sk1)) = skaf50(tl(sk1))
| ~ spl0_21 ),
inference(resolution,[],[f1742,f1579]) ).
fof(f1579,plain,
( ssList(tl(sk1))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f13807,plain,
( spl0_47
| spl0_48 ),
inference(avatar_split_clause,[],[f13755,f13804,f13800]) ).
fof(f13800,plain,
( spl0_47
<=> skaf49(sk2) = skaf50(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f13804,plain,
( spl0_48
<=> cyclefreeP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f13755,plain,
( cyclefreeP(sk2)
| skaf49(sk2) = skaf50(sk2) ),
inference(resolution,[],[f1742,f187]) ).
fof(f13775,plain,
( spl0_45
| spl0_46 ),
inference(avatar_split_clause,[],[f13754,f13772,f13768]) ).
fof(f13768,plain,
( spl0_45
<=> skaf49(sk1) = skaf50(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f13772,plain,
( spl0_46
<=> cyclefreeP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f13754,plain,
( cyclefreeP(sk1)
| skaf49(sk1) = skaf50(sk1) ),
inference(resolution,[],[f1742,f186]) ).
fof(f9593,plain,
( ~ spl0_2
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f9592]) ).
fof(f9592,plain,
( $false
| ~ spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f9579,f187]) ).
fof(f9579,plain,
( ~ ssList(sk2)
| ~ spl0_2
| ~ spl0_7 ),
inference(resolution,[],[f9573,f5195]) ).
fof(f5195,plain,
( ssList(cons(sk5,sk2))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f5194,f187]) ).
fof(f5194,plain,
( ssList(cons(sk5,sk2))
| ~ ssList(sk2)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f5177,f1215]) ).
fof(f5177,plain,
( ssList(cons(sk5,sk2))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk2) ),
inference(superposition,[],[f85,f4988]) ).
fof(f4988,plain,
cons(sk5,sk2) = app(cons(sk5,nil),sk2),
inference(resolution,[],[f1352,f187]) ).
fof(f1352,plain,
! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) ),
inference(resolution,[],[f120,f241]) ).
fof(f241,plain,
ssItem(sk5),
inference(subsumption_resolution,[],[f240,f230]) ).
fof(f240,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(forward_demodulation,[],[f197,f190]) ).
fof(f197,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
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(f9573,plain,
( ! [X0] :
( ~ ssList(cons(sk5,X0))
| ~ ssList(X0) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f9572,f187]) ).
fof(f9572,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(cons(sk5,X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f9554,f85]) ).
fof(f9554,plain,
( ! [X0] :
( ~ ssList(app(sk2,cons(sk5,X0)))
| ~ ssList(X0) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f9553,f8]) ).
fof(f9553,plain,
( ! [X0] :
( ~ ssList(app(sk2,cons(sk5,X0)))
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f9552,f186]) ).
fof(f9552,plain,
( ! [X0] :
( ~ ssList(app(sk2,cons(sk5,X0)))
| ~ ssList(sk1)
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f9523,f241]) ).
fof(f9523,plain,
( ! [X0] :
( ~ ssList(app(sk2,cons(sk5,X0)))
| ~ ssItem(sk5)
| ~ ssList(sk1)
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl0_2 ),
inference(superposition,[],[f9432,f356]) ).
fof(f9432,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f216,f249]) ).
fof(f249,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl0_2
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f216,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(f9591,plain,
( ~ spl0_2
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f9590]) ).
fof(f9590,plain,
( $false
| ~ spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f9578,f186]) ).
fof(f9578,plain,
( ~ ssList(sk1)
| ~ spl0_2
| ~ spl0_7 ),
inference(resolution,[],[f9573,f5011]) ).
fof(f5011,plain,
( ssList(cons(sk5,sk1))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f5010,f186]) ).
fof(f5010,plain,
( ssList(cons(sk5,sk1))
| ~ ssList(sk1)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f4994,f1215]) ).
fof(f4994,plain,
( ssList(cons(sk5,sk1))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk1) ),
inference(superposition,[],[f85,f4987]) ).
fof(f4987,plain,
cons(sk5,sk1) = app(cons(sk5,nil),sk1),
inference(resolution,[],[f1352,f186]) ).
fof(f9589,plain,
( ~ spl0_2
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f9588]) ).
fof(f9588,plain,
( $false
| ~ spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f9577,f15]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f9577,plain,
( ! [X0] : ~ ssList(skaf80(X0))
| ~ spl0_2
| ~ spl0_7 ),
inference(resolution,[],[f9573,f9396]) ).
fof(f9396,plain,
( ! [X0] : ssList(cons(sk5,skaf80(X0)))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f9395,f15]) ).
fof(f9395,plain,
( ! [X0] :
( ssList(cons(sk5,skaf80(X0)))
| ~ ssList(skaf80(X0)) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f9378,f1215]) ).
fof(f9378,plain,
! [X0] :
( ssList(cons(sk5,skaf80(X0)))
| ~ ssList(cons(sk5,nil))
| ~ ssList(skaf80(X0)) ),
inference(superposition,[],[f85,f4956]) ).
fof(f4956,plain,
! [X0] : cons(sk5,skaf80(X0)) = app(cons(sk5,nil),skaf80(X0)),
inference(resolution,[],[f1352,f15]) ).
fof(f9587,plain,
( ~ spl0_2
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f9586]) ).
fof(f9586,plain,
( $false
| ~ spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f9576,f14]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f9576,plain,
( ! [X0] : ~ ssList(skaf81(X0))
| ~ spl0_2
| ~ spl0_7 ),
inference(resolution,[],[f9573,f9233]) ).
fof(f9233,plain,
( ! [X0] : ssList(cons(sk5,skaf81(X0)))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f9232,f14]) ).
fof(f9232,plain,
( ! [X0] :
( ssList(cons(sk5,skaf81(X0)))
| ~ ssList(skaf81(X0)) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f9215,f1215]) ).
fof(f9215,plain,
! [X0] :
( ssList(cons(sk5,skaf81(X0)))
| ~ ssList(cons(sk5,nil))
| ~ ssList(skaf81(X0)) ),
inference(superposition,[],[f85,f4955]) ).
fof(f4955,plain,
! [X0] : cons(sk5,skaf81(X0)) = app(cons(sk5,nil),skaf81(X0)),
inference(resolution,[],[f1352,f14]) ).
fof(f9585,plain,
( ~ spl0_2
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f9584]) ).
fof(f9584,plain,
( $false
| ~ spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f9575,f13]) ).
fof(f9575,plain,
( ! [X0] : ~ ssList(skaf82(X0))
| ~ spl0_2
| ~ spl0_7 ),
inference(resolution,[],[f9573,f8039]) ).
fof(f8039,plain,
( ! [X0] : ssList(cons(sk5,skaf82(X0)))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f8038,f13]) ).
fof(f8038,plain,
( ! [X0] :
( ssList(cons(sk5,skaf82(X0)))
| ~ ssList(skaf82(X0)) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f8021,f1215]) ).
fof(f8021,plain,
! [X0] :
( ssList(cons(sk5,skaf82(X0)))
| ~ ssList(cons(sk5,nil))
| ~ ssList(skaf82(X0)) ),
inference(superposition,[],[f85,f4954]) ).
fof(f4954,plain,
! [X0] : cons(sk5,skaf82(X0)) = app(cons(sk5,nil),skaf82(X0)),
inference(resolution,[],[f1352,f13]) ).
fof(f9583,plain,
( ~ spl0_2
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f9582]) ).
fof(f9582,plain,
( $false
| ~ spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f9574,f8]) ).
fof(f9574,plain,
( ~ ssList(nil)
| ~ spl0_2
| ~ spl0_7 ),
inference(resolution,[],[f9573,f1215]) ).
fof(f7875,plain,
( spl0_43
| ~ spl0_44
| spl0_4
| ~ spl0_7
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f7684,f1642,f1578,f1214,f1011,f7872,f7868]) ).
fof(f7868,plain,
( spl0_43
<=> tl(sk1) = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f7872,plain,
( spl0_44
<=> frontsegP(tl(sk1),tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f7684,plain,
( ~ frontsegP(tl(sk1),tl(sk2))
| tl(sk1) = tl(sk2)
| spl0_4
| ~ spl0_7
| ~ spl0_21
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f7683,f1643]) ).
fof(f7683,plain,
( ~ ssList(tl(sk2))
| ~ frontsegP(tl(sk1),tl(sk2))
| tl(sk1) = tl(sk2)
| spl0_4
| ~ spl0_7
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f7678,f1579]) ).
fof(f7678,plain,
( ~ ssList(tl(sk1))
| ~ ssList(tl(sk2))
| ~ frontsegP(tl(sk1),tl(sk2))
| tl(sk1) = tl(sk2)
| spl0_4
| ~ spl0_7
| ~ spl0_21 ),
inference(resolution,[],[f7623,f129]) ).
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(f7623,plain,
( frontsegP(tl(sk2),tl(sk1))
| spl0_4
| ~ spl0_7
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f7622,f1215]) ).
fof(f7622,plain,
( frontsegP(tl(sk2),tl(sk1))
| ~ ssList(cons(sk5,nil))
| spl0_4
| ~ spl0_7
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f7586,f1579]) ).
fof(f7586,plain,
( frontsegP(tl(sk2),tl(sk1))
| ~ ssList(tl(sk1))
| ~ ssList(cons(sk5,nil))
| spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f1896,f7562]) ).
fof(f7562,plain,
( tl(sk2) = app(tl(sk1),cons(sk5,nil))
| spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f7550,f356]) ).
fof(f7550,plain,
( app(tl(sk1),cons(sk5,nil)) = tl(app(sk1,cons(sk5,nil)))
| spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f3643,f1215]) ).
fof(f3643,plain,
( ! [X0] :
( ~ ssList(X0)
| app(tl(sk1),X0) = tl(app(sk1,X0)) )
| spl0_4 ),
inference(subsumption_resolution,[],[f3636,f1012]) ).
fof(f3636,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk1
| app(tl(sk1),X0) = tl(app(sk1,X0)) ),
inference(resolution,[],[f133,f186]) ).
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(f7819,plain,
( ~ spl0_41
| spl0_42
| spl0_4
| ~ spl0_7
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f7797,f1642,f1578,f1214,f1011,f7816,f7812]) ).
fof(f7812,plain,
( spl0_41
<=> frontsegP(sk1,tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f7816,plain,
( spl0_42
<=> frontsegP(sk2,tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f7797,plain,
( frontsegP(sk2,tl(sk1))
| ~ frontsegP(sk1,tl(sk2))
| spl0_4
| ~ spl0_7
| ~ spl0_21
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f7796,f1643]) ).
fof(f7796,plain,
( frontsegP(sk2,tl(sk1))
| ~ ssList(tl(sk2))
| ~ frontsegP(sk1,tl(sk2))
| spl0_4
| ~ spl0_7
| ~ spl0_21
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f7780,f187]) ).
fof(f7780,plain,
( ~ ssList(sk2)
| frontsegP(sk2,tl(sk1))
| ~ ssList(tl(sk2))
| ~ frontsegP(sk1,tl(sk2))
| spl0_4
| ~ spl0_7
| ~ spl0_21
| ~ spl0_23 ),
inference(resolution,[],[f7680,f2537]) ).
fof(f2537,plain,
( ! [X0] :
( frontsegP(sk2,X0)
| ~ ssList(X0)
| ~ frontsegP(sk1,X0) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f2536,f1215]) ).
fof(f2536,plain,
! [X0] :
( frontsegP(sk2,X0)
| ~ ssList(X0)
| ~ frontsegP(sk1,X0)
| ~ ssList(cons(sk5,nil)) ),
inference(subsumption_resolution,[],[f2471,f186]) ).
fof(f2471,plain,
! [X0] :
( frontsegP(sk2,X0)
| ~ ssList(sk1)
| ~ ssList(X0)
| ~ frontsegP(sk1,X0)
| ~ ssList(cons(sk5,nil)) ),
inference(superposition,[],[f137,f356]) ).
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(f7680,plain,
( ! [X0] :
( ~ frontsegP(X0,tl(sk2))
| ~ ssList(X0)
| frontsegP(X0,tl(sk1)) )
| spl0_4
| ~ spl0_7
| ~ spl0_21
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f7679,f1579]) ).
fof(f7679,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(tl(sk1))
| ~ frontsegP(X0,tl(sk2))
| frontsegP(X0,tl(sk1)) )
| spl0_4
| ~ spl0_7
| ~ spl0_21
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f7676,f1643]) ).
fof(f7676,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(tl(sk2))
| ~ ssList(tl(sk1))
| ~ frontsegP(X0,tl(sk2))
| frontsegP(X0,tl(sk1)) )
| spl0_4
| ~ spl0_7
| ~ spl0_21 ),
inference(resolution,[],[f7623,f154]) ).
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(f7808,plain,
( ~ spl0_39
| spl0_40
| spl0_4
| ~ spl0_7
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f7793,f1642,f1578,f1214,f1011,f7805,f7801]) ).
fof(f7801,plain,
( spl0_39
<=> frontsegP(nil,tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f7805,plain,
( spl0_40
<=> frontsegP(sk1,tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f7793,plain,
( frontsegP(sk1,tl(sk1))
| ~ frontsegP(nil,tl(sk2))
| spl0_4
| ~ spl0_7
| ~ spl0_21
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f7792,f1643]) ).
fof(f7792,plain,
( frontsegP(sk1,tl(sk1))
| ~ ssList(tl(sk2))
| ~ frontsegP(nil,tl(sk2))
| spl0_4
| ~ spl0_7
| ~ spl0_21
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f7778,f186]) ).
fof(f7778,plain,
( ~ ssList(sk1)
| frontsegP(sk1,tl(sk1))
| ~ ssList(tl(sk2))
| ~ frontsegP(nil,tl(sk2))
| spl0_4
| ~ spl0_7
| ~ spl0_21
| ~ spl0_23 ),
inference(resolution,[],[f7680,f2545]) ).
fof(f2545,plain,
! [X0] :
( frontsegP(sk1,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(subsumption_resolution,[],[f2544,f186]) ).
fof(f2544,plain,
! [X0] :
( frontsegP(sk1,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk1) ),
inference(subsumption_resolution,[],[f2475,f8]) ).
fof(f2475,plain,
! [X0] :
( frontsegP(sk1,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk1) ),
inference(superposition,[],[f137,f347]) ).
fof(f7714,plain,
( spl0_37
| ~ spl0_38
| spl0_4
| ~ spl0_7
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f7705,f1642,f1578,f1214,f1011,f7711,f7707]) ).
fof(f7707,plain,
( spl0_37
<=> frontsegP(tl(sk2),sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f7711,plain,
( spl0_38
<=> frontsegP(tl(sk1),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f7705,plain,
( ~ frontsegP(tl(sk1),sk2)
| frontsegP(tl(sk2),sk1)
| spl0_4
| ~ spl0_7
| ~ spl0_21
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f7704,f1643]) ).
fof(f7704,plain,
( ~ frontsegP(tl(sk1),sk2)
| ~ ssList(tl(sk2))
| frontsegP(tl(sk2),sk1)
| spl0_4
| ~ spl0_7
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f7697,f187]) ).
fof(f7697,plain,
( ~ ssList(sk2)
| ~ frontsegP(tl(sk1),sk2)
| ~ ssList(tl(sk2))
| frontsegP(tl(sk2),sk1)
| spl0_4
| ~ spl0_7
| ~ spl0_21 ),
inference(resolution,[],[f7600,f3386]) ).
fof(f3386,plain,
( ! [X0] :
( ~ frontsegP(X0,sk2)
| ~ ssList(X0)
| frontsegP(X0,sk1) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f3385,f186]) ).
fof(f3385,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk1)
| ~ frontsegP(X0,sk2)
| frontsegP(X0,sk1) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f3367,f187]) ).
fof(f3367,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(sk1)
| ~ frontsegP(X0,sk2)
| frontsegP(X0,sk1) )
| ~ spl0_7 ),
inference(resolution,[],[f154,f1976]) ).
fof(f7600,plain,
( ! [X0] :
( frontsegP(tl(sk2),X0)
| ~ ssList(X0)
| ~ frontsegP(tl(sk1),X0) )
| spl0_4
| ~ spl0_7
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f7599,f1215]) ).
fof(f7599,plain,
( ! [X0] :
( frontsegP(tl(sk2),X0)
| ~ ssList(X0)
| ~ frontsegP(tl(sk1),X0)
| ~ ssList(cons(sk5,nil)) )
| spl0_4
| ~ spl0_7
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f7574,f1579]) ).
fof(f7574,plain,
( ! [X0] :
( frontsegP(tl(sk2),X0)
| ~ ssList(tl(sk1))
| ~ ssList(X0)
| ~ frontsegP(tl(sk1),X0)
| ~ ssList(cons(sk5,nil)) )
| spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f137,f7562]) ).
fof(f7467,plain,
( ~ spl0_35
| spl0_36
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f6827,f1214,f7464,f7460]) ).
fof(f7460,plain,
( spl0_35
<=> rearsegP(sk1,cons(sk5,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f7464,plain,
( spl0_36
<=> rearsegP(cons(sk5,sk1),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f6827,plain,
( rearsegP(cons(sk5,sk1),sk2)
| ~ rearsegP(sk1,cons(sk5,sk2))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f6826,f5195]) ).
fof(f6826,plain,
( rearsegP(cons(sk5,sk1),sk2)
| ~ ssList(cons(sk5,sk2))
| ~ rearsegP(sk1,cons(sk5,sk2))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f6816,f5011]) ).
fof(f6816,plain,
( ~ ssList(cons(sk5,sk1))
| rearsegP(cons(sk5,sk1),sk2)
| ~ ssList(cons(sk5,sk2))
| ~ rearsegP(sk1,cons(sk5,sk2))
| ~ spl0_7 ),
inference(resolution,[],[f5592,f5019]) ).
fof(f5019,plain,
( ! [X0] :
( rearsegP(cons(sk5,sk1),X0)
| ~ ssList(X0)
| ~ rearsegP(sk1,X0) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f5018,f1215]) ).
fof(f5018,plain,
! [X0] :
( rearsegP(cons(sk5,sk1),X0)
| ~ ssList(X0)
| ~ rearsegP(sk1,X0)
| ~ ssList(cons(sk5,nil)) ),
inference(subsumption_resolution,[],[f4997,f186]) ).
fof(f4997,plain,
! [X0] :
( rearsegP(cons(sk5,sk1),X0)
| ~ ssList(sk1)
| ~ ssList(X0)
| ~ rearsegP(sk1,X0)
| ~ ssList(cons(sk5,nil)) ),
inference(superposition,[],[f136,f4987]) ).
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(f5592,plain,
( ! [X0] :
( ~ rearsegP(X0,cons(sk5,sk2))
| ~ ssList(X0)
| rearsegP(X0,sk2) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f5591,f187]) ).
fof(f5591,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk2)
| ~ rearsegP(X0,cons(sk5,sk2))
| rearsegP(X0,sk2) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f5588,f5195]) ).
fof(f5588,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(cons(sk5,sk2))
| ~ ssList(sk2)
| ~ rearsegP(X0,cons(sk5,sk2))
| rearsegP(X0,sk2) )
| ~ spl0_7 ),
inference(resolution,[],[f5224,f153]) ).
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(f5224,plain,
( rearsegP(cons(sk5,sk2),sk2)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f5223,f1215]) ).
fof(f5223,plain,
( rearsegP(cons(sk5,sk2),sk2)
| ~ ssList(cons(sk5,nil)) ),
inference(subsumption_resolution,[],[f5190,f187]) ).
fof(f5190,plain,
( rearsegP(cons(sk5,sk2),sk2)
| ~ ssList(sk2)
| ~ ssList(cons(sk5,nil)) ),
inference(superposition,[],[f1755,f4988]) ).
fof(f1755,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f210,f85]) ).
fof(f210,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(f7060,plain,
( ~ spl0_33
| spl0_34
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f6380,f1214,f7057,f7053]) ).
fof(f7053,plain,
( spl0_33
<=> rearsegP(sk2,cons(sk5,sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f7057,plain,
( spl0_34
<=> rearsegP(cons(sk5,sk2),sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f6380,plain,
( rearsegP(cons(sk5,sk2),sk1)
| ~ rearsegP(sk2,cons(sk5,sk1))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f6379,f5011]) ).
fof(f6379,plain,
( rearsegP(cons(sk5,sk2),sk1)
| ~ ssList(cons(sk5,sk1))
| ~ rearsegP(sk2,cons(sk5,sk1))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f6370,f5195]) ).
fof(f6370,plain,
( ~ ssList(cons(sk5,sk2))
| rearsegP(cons(sk5,sk2),sk1)
| ~ ssList(cons(sk5,sk1))
| ~ rearsegP(sk2,cons(sk5,sk1))
| ~ spl0_7 ),
inference(resolution,[],[f5076,f5203]) ).
fof(f5203,plain,
( ! [X0] :
( rearsegP(cons(sk5,sk2),X0)
| ~ ssList(X0)
| ~ rearsegP(sk2,X0) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f5202,f1215]) ).
fof(f5202,plain,
! [X0] :
( rearsegP(cons(sk5,sk2),X0)
| ~ ssList(X0)
| ~ rearsegP(sk2,X0)
| ~ ssList(cons(sk5,nil)) ),
inference(subsumption_resolution,[],[f5180,f187]) ).
fof(f5180,plain,
! [X0] :
( rearsegP(cons(sk5,sk2),X0)
| ~ ssList(sk2)
| ~ ssList(X0)
| ~ rearsegP(sk2,X0)
| ~ ssList(cons(sk5,nil)) ),
inference(superposition,[],[f136,f4988]) ).
fof(f5076,plain,
( ! [X0] :
( ~ rearsegP(X0,cons(sk5,sk1))
| ~ ssList(X0)
| rearsegP(X0,sk1) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f5075,f186]) ).
fof(f5075,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk1)
| ~ rearsegP(X0,cons(sk5,sk1))
| rearsegP(X0,sk1) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f5072,f5011]) ).
fof(f5072,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(cons(sk5,sk1))
| ~ ssList(sk1)
| ~ rearsegP(X0,cons(sk5,sk1))
| rearsegP(X0,sk1) )
| ~ spl0_7 ),
inference(resolution,[],[f5037,f153]) ).
fof(f5037,plain,
( rearsegP(cons(sk5,sk1),sk1)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f5036,f1215]) ).
fof(f5036,plain,
( rearsegP(cons(sk5,sk1),sk1)
| ~ ssList(cons(sk5,nil)) ),
inference(subsumption_resolution,[],[f5006,f186]) ).
fof(f5006,plain,
( rearsegP(cons(sk5,sk1),sk1)
| ~ ssList(sk1)
| ~ ssList(cons(sk5,nil)) ),
inference(superposition,[],[f1755,f4987]) ).
fof(f3660,plain,
( spl0_31
| ~ spl0_32
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f2200,f1214,f3657,f3653]) ).
fof(f3653,plain,
( spl0_31
<=> sk2 = skaf45(sk2,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f3657,plain,
( spl0_32
<=> rearsegP(skaf45(sk2,sk1),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f2200,plain,
( ~ rearsegP(skaf45(sk2,sk1),sk2)
| sk2 = skaf45(sk2,sk1)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f2199,f187]) ).
fof(f2199,plain,
( ~ ssList(sk2)
| ~ rearsegP(skaf45(sk2,sk1),sk2)
| sk2 = skaf45(sk2,sk1)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f2196,f51]) ).
fof(f2196,plain,
( ~ ssList(skaf45(sk2,sk1))
| ~ ssList(sk2)
| ~ rearsegP(skaf45(sk2,sk1),sk2)
| sk2 = skaf45(sk2,sk1)
| ~ spl0_7 ),
inference(resolution,[],[f2194,f128]) ).
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(f2194,plain,
( rearsegP(sk2,skaf45(sk2,sk1))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f2193,f186]) ).
fof(f2193,plain,
( rearsegP(sk2,skaf45(sk2,sk1))
| ~ ssList(sk1)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f2188,f51]) ).
fof(f2188,plain,
( rearsegP(sk2,skaf45(sk2,sk1))
| ~ ssList(skaf45(sk2,sk1))
| ~ ssList(sk1)
| ~ spl0_7 ),
inference(superposition,[],[f1755,f2186]) ).
fof(f3498,plain,
( spl0_29
| ~ spl0_30
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f3486,f1214,f3495,f3491]) ).
fof(f3491,plain,
( spl0_29
<=> nil = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f3495,plain,
( spl0_30
<=> rearsegP(nil,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f3486,plain,
( ~ rearsegP(nil,sk2)
| nil = cons(sk5,nil)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f3485,f1215]) ).
fof(f3485,plain,
( ~ rearsegP(nil,sk2)
| ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f3476,f8]) ).
fof(f3476,plain,
( ~ rearsegP(nil,sk2)
| ~ ssList(nil)
| ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_7 ),
inference(resolution,[],[f3268,f82]) ).
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f3268,plain,
( ! [X0] :
( rearsegP(X0,cons(sk5,nil))
| ~ rearsegP(X0,sk2)
| ~ ssList(X0) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f3267,f1215]) ).
fof(f3267,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(cons(sk5,nil))
| ~ rearsegP(X0,sk2)
| rearsegP(X0,cons(sk5,nil)) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f3249,f187]) ).
fof(f3249,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(cons(sk5,nil))
| ~ rearsegP(X0,sk2)
| rearsegP(X0,cons(sk5,nil)) )
| ~ spl0_7 ),
inference(resolution,[],[f153,f1837]) ).
fof(f1837,plain,
( rearsegP(sk2,cons(sk5,nil))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1836,f186]) ).
fof(f1836,plain,
( rearsegP(sk2,cons(sk5,nil))
| ~ ssList(sk1)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1827,f1215]) ).
fof(f1827,plain,
( rearsegP(sk2,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk1) ),
inference(superposition,[],[f1755,f356]) ).
fof(f1988,plain,
( spl0_27
| ~ spl0_28
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1979,f1214,f1985,f1981]) ).
fof(f1981,plain,
( spl0_27
<=> sk1 = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1985,plain,
( spl0_28
<=> frontsegP(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1979,plain,
( ~ frontsegP(sk1,sk2)
| sk1 = sk2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1978,f187]) ).
fof(f1978,plain,
( ~ ssList(sk2)
| ~ frontsegP(sk1,sk2)
| sk1 = sk2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1977,f186]) ).
fof(f1977,plain,
( ~ ssList(sk1)
| ~ ssList(sk2)
| ~ frontsegP(sk1,sk2)
| sk1 = sk2
| ~ spl0_7 ),
inference(resolution,[],[f1976,f129]) ).
fof(f1852,plain,
( spl0_25
| ~ spl0_26
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1840,f1214,f1849,f1845]) ).
fof(f1845,plain,
( spl0_25
<=> sk2 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1849,plain,
( spl0_26
<=> rearsegP(cons(sk5,nil),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1840,plain,
( ~ rearsegP(cons(sk5,nil),sk2)
| sk2 = cons(sk5,nil)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1839,f187]) ).
fof(f1839,plain,
( ~ ssList(sk2)
| ~ rearsegP(cons(sk5,nil),sk2)
| sk2 = cons(sk5,nil)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1838,f1215]) ).
fof(f1838,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk2)
| ~ rearsegP(cons(sk5,nil),sk2)
| sk2 = cons(sk5,nil)
| ~ spl0_7 ),
inference(resolution,[],[f1837,f128]) ).
fof(f1653,plain,
( spl0_8
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f1652]) ).
fof(f1652,plain,
( $false
| spl0_8
| spl0_23 ),
inference(subsumption_resolution,[],[f1651,f187]) ).
fof(f1651,plain,
( ~ ssList(sk2)
| spl0_8
| spl0_23 ),
inference(subsumption_resolution,[],[f1650,f1220]) ).
fof(f1650,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_23 ),
inference(resolution,[],[f1644,f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f1644,plain,
( ~ ssList(tl(sk2))
| spl0_23 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f1649,plain,
( ~ spl0_23
| spl0_24
| spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1640,f1378,f1218,f1646,f1642]) ).
fof(f1646,plain,
( spl0_24
<=> memberP(sk2,hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1378,plain,
( spl0_9
<=> ssItem(hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1640,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1370,f1379]) ).
fof(f1379,plain,
( ssItem(hd(sk2))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f1370,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| spl0_8 ),
inference(superposition,[],[f226,f1369]) ).
fof(f1369,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| spl0_8 ),
inference(subsumption_resolution,[],[f998,f1220]) ).
fof(f998,plain,
( nil = sk2
| sk2 = cons(hd(sk2),tl(sk2)) ),
inference(resolution,[],[f104,f187]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f226,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f209]) ).
fof(f209,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(f1589,plain,
( spl0_4
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f1588]) ).
fof(f1588,plain,
( $false
| spl0_4
| spl0_21 ),
inference(subsumption_resolution,[],[f1587,f186]) ).
fof(f1587,plain,
( ~ ssList(sk1)
| spl0_4
| spl0_21 ),
inference(subsumption_resolution,[],[f1586,f1012]) ).
fof(f1586,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_21 ),
inference(resolution,[],[f1580,f75]) ).
fof(f1580,plain,
( ~ ssList(tl(sk1))
| spl0_21 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f1585,plain,
( ~ spl0_21
| spl0_22
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1576,f1023,f1007,f1582,f1578]) ).
fof(f1582,plain,
( spl0_22
<=> memberP(sk1,hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1007,plain,
( spl0_3
<=> sk1 = cons(hd(sk1),tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1576,plain,
( memberP(sk1,hd(sk1))
| ~ ssList(tl(sk1))
| ~ spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f1015,f1024]) ).
fof(f1015,plain,
( memberP(sk1,hd(sk1))
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| ~ spl0_3 ),
inference(superposition,[],[f226,f1009]) ).
fof(f1009,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f1575,plain,
( spl0_19
| ~ spl0_20
| spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f1566,f1552,f1218,f1572,f1568]) ).
fof(f1568,plain,
( spl0_19
<=> totalorderedP(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1572,plain,
( spl0_20
<=> totalorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1552,plain,
( spl0_16
<=> nil = skaf82(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1566,plain,
( ~ totalorderedP(sk2)
| totalorderedP(skaf82(sk2))
| spl0_8
| spl0_16 ),
inference(subsumption_resolution,[],[f1548,f1553]) ).
fof(f1553,plain,
( nil != skaf82(sk2)
| spl0_16 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f1548,plain,
( ~ totalorderedP(sk2)
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| spl0_8 ),
inference(subsumption_resolution,[],[f1547,f12]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f1547,plain,
( ~ totalorderedP(sk2)
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_8 ),
inference(subsumption_resolution,[],[f1540,f13]) ).
fof(f1540,plain,
( ~ totalorderedP(sk2)
| ~ ssList(skaf82(sk2))
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_8 ),
inference(superposition,[],[f125,f1535]) ).
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(f1563,plain,
( spl0_16
| spl0_17
| ~ spl0_18
| spl0_8 ),
inference(avatar_split_clause,[],[f1546,f1218,f1560,f1556,f1552]) ).
fof(f1556,plain,
( spl0_17
<=> strictorderedP(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1560,plain,
( spl0_18
<=> strictorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1546,plain,
( ~ strictorderedP(sk2)
| strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| spl0_8 ),
inference(subsumption_resolution,[],[f1545,f12]) ).
fof(f1545,plain,
( ~ strictorderedP(sk2)
| strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_8 ),
inference(subsumption_resolution,[],[f1539,f13]) ).
fof(f1539,plain,
( ~ strictorderedP(sk2)
| ~ ssList(skaf82(sk2))
| strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_8 ),
inference(superposition,[],[f124,f1535]) ).
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(f1532,plain,
( spl0_14
| ~ spl0_15
| spl0_4
| spl0_11 ),
inference(avatar_split_clause,[],[f1523,f1488,f1011,f1529,f1525]) ).
fof(f1525,plain,
( spl0_14
<=> totalorderedP(skaf82(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1529,plain,
( spl0_15
<=> totalorderedP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1488,plain,
( spl0_11
<=> nil = skaf82(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1523,plain,
( ~ totalorderedP(sk1)
| totalorderedP(skaf82(sk1))
| spl0_4
| spl0_11 ),
inference(subsumption_resolution,[],[f1522,f12]) ).
fof(f1522,plain,
( ~ totalorderedP(sk1)
| totalorderedP(skaf82(sk1))
| ~ ssItem(skaf83(sk1))
| spl0_4
| spl0_11 ),
inference(subsumption_resolution,[],[f1521,f1489]) ).
fof(f1489,plain,
( nil != skaf82(sk1)
| spl0_11 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f1521,plain,
( ~ totalorderedP(sk1)
| totalorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_4 ),
inference(subsumption_resolution,[],[f1517,f13]) ).
fof(f1517,plain,
( ~ totalorderedP(sk1)
| ~ ssList(skaf82(sk1))
| totalorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_4 ),
inference(superposition,[],[f125,f1092]) ).
fof(f1499,plain,
( spl0_11
| spl0_12
| ~ spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f1486,f1011,f1496,f1492,f1488]) ).
fof(f1492,plain,
( spl0_12
<=> strictorderedP(skaf82(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1496,plain,
( spl0_13
<=> strictorderedP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1486,plain,
( ~ strictorderedP(sk1)
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| spl0_4 ),
inference(subsumption_resolution,[],[f1485,f12]) ).
fof(f1485,plain,
( ~ strictorderedP(sk1)
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_4 ),
inference(subsumption_resolution,[],[f1481,f13]) ).
fof(f1481,plain,
( ~ strictorderedP(sk1)
| ~ ssList(skaf82(sk1))
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_4 ),
inference(superposition,[],[f124,f1092]) ).
fof(f1404,plain,
( spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1403]) ).
fof(f1403,plain,
( $false
| spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f1402,f187]) ).
fof(f1402,plain,
( ~ ssList(sk2)
| spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f1401,f1220]) ).
fof(f1401,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_9 ),
inference(resolution,[],[f1380,f76]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f1380,plain,
( ~ ssItem(hd(sk2))
| spl0_9 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f1385,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f1376,f1218,f1382,f1378]) ).
fof(f1382,plain,
( spl0_10
<=> sk2 = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1376,plain,
( sk2 != tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_8 ),
inference(subsumption_resolution,[],[f1375,f187]) ).
fof(f1375,plain,
( sk2 != tl(sk2)
| ~ ssList(sk2)
| ~ ssItem(hd(sk2))
| spl0_8 ),
inference(inner_rewriting,[],[f1371]) ).
fof(f1371,plain,
( sk2 != tl(sk2)
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| spl0_8 ),
inference(superposition,[],[f99,f1369]) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f1225,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f1224]) ).
fof(f1224,plain,
( $false
| spl0_7 ),
inference(subsumption_resolution,[],[f1223,f241]) ).
fof(f1223,plain,
( ~ ssItem(sk5)
| spl0_7 ),
inference(subsumption_resolution,[],[f1222,f8]) ).
fof(f1222,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_7 ),
inference(resolution,[],[f1216,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f1216,plain,
( ~ ssList(cons(sk5,nil))
| spl0_7 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f1221,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f1212,f1011,f1218,f1214]) ).
fof(f1212,plain,
( nil != sk2
| ~ ssList(cons(sk5,nil))
| spl0_4 ),
inference(subsumption_resolution,[],[f1211,f1012]) ).
fof(f1211,plain,
( nil != sk2
| nil = sk1
| ~ ssList(cons(sk5,nil)) ),
inference(subsumption_resolution,[],[f1208,f186]) ).
fof(f1208,plain,
( nil != sk2
| ~ ssList(sk1)
| nil = sk1
| ~ ssList(cons(sk5,nil)) ),
inference(superposition,[],[f118,f356]) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f1052,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1051,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1050,f187]) ).
fof(f1050,plain,
( ~ ssList(sk2)
| ~ spl0_4 ),
inference(resolution,[],[f1037,f56]) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f1037,plain,
( ~ segmentP(sk2,nil)
| ~ spl0_4 ),
inference(superposition,[],[f243,f1013]) ).
fof(f1013,plain,
( nil = sk1
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f1034,plain,
( spl0_4
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f1033]) ).
fof(f1033,plain,
( $false
| spl0_4
| spl0_5 ),
inference(subsumption_resolution,[],[f1032,f186]) ).
fof(f1032,plain,
( ~ ssList(sk1)
| spl0_4
| spl0_5 ),
inference(subsumption_resolution,[],[f1031,f1012]) ).
fof(f1031,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_5 ),
inference(resolution,[],[f1025,f76]) ).
fof(f1025,plain,
( ~ ssItem(hd(sk1))
| spl0_5 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f1030,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1021,f1007,f1027,f1023]) ).
fof(f1027,plain,
( spl0_6
<=> sk1 = tl(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1021,plain,
( sk1 != tl(sk1)
| ~ ssItem(hd(sk1))
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f1020,f186]) ).
fof(f1020,plain,
( sk1 != tl(sk1)
| ~ ssList(sk1)
| ~ ssItem(hd(sk1))
| ~ spl0_3 ),
inference(inner_rewriting,[],[f1016]) ).
fof(f1016,plain,
( sk1 != tl(sk1)
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| ~ spl0_3 ),
inference(superposition,[],[f99,f1009]) ).
fof(f1014,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f997,f1011,f1007]) ).
fof(f997,plain,
( nil = sk1
| sk1 = cons(hd(sk1),tl(sk1)) ),
inference(resolution,[],[f104,f186]) ).
fof(f250,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f72,f248,f245]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC355-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:25:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (25509)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (25512)WARNING: value z3 for option sas not known
% 0.21/0.38 % (25513)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (25514)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.38 % (25515)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.38 % (25512)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (25516)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.38 % (25511)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39 % (25510)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.40 TRYING [3]
% 0.21/0.44 TRYING [4]
% 0.21/0.46 TRYING [1]
% 0.21/0.47 TRYING [2]
% 1.34/0.55 TRYING [3]
% 1.49/0.57 TRYING [5]
% 2.69/0.74 TRYING [4]
% 3.61/0.88 TRYING [6]
% 5.08/1.11 TRYING [5]
% 5.08/1.13 % (25512)First to succeed.
% 5.08/1.13 % (25512)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25509"
% 5.08/1.13 % (25512)Refutation found. Thanks to Tanya!
% 5.08/1.13 % SZS status Unsatisfiable for theBenchmark
% 5.08/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 5.08/1.14 % (25512)------------------------------
% 5.08/1.14 % (25512)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 5.08/1.14 % (25512)Termination reason: Refutation
% 5.08/1.14
% 5.08/1.14 % (25512)Memory used [KB]: 9860
% 5.08/1.14 % (25512)Time elapsed: 0.749 s
% 5.08/1.14 % (25512)Instructions burned: 1970 (million)
% 5.08/1.14 % (25509)Success in time 0.765 s
%------------------------------------------------------------------------------