TSTP Solution File: SWC177+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC177+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.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 : Wed May 1 04:00:20 EDT 2024
% Result : Theorem 2.04s 1.07s
% Output : Refutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 72
% Syntax : Number of formulae : 367 ( 33 unt; 0 def)
% Number of atoms : 1690 ( 333 equ)
% Maximal formula atoms : 34 ( 4 avg)
% Number of connectives : 2173 ( 850 ~; 882 |; 324 &)
% ( 38 <=>; 79 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 25 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 16 con; 0-2 aty)
% Number of variables : 459 ( 302 !; 157 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4851,plain,
$false,
inference(avatar_sat_refutation,[],[f641,f646,f702,f713,f791,f920,f943,f986,f989,f991,f1002,f1312,f1338,f1350,f1367,f1391,f1477,f1510,f1572,f2930,f3341,f4117,f4278,f4561,f4597,f4850]) ).
fof(f4850,plain,
( ~ spl81_11
| spl81_69
| spl81_247 ),
inference(avatar_contradiction_clause,[],[f4849]) ).
fof(f4849,plain,
( $false
| ~ spl81_11
| spl81_69
| spl81_247 ),
inference(subsumption_resolution,[],[f4848,f4699]) ).
fof(f4699,plain,
( ssList(sF79)
| ~ spl81_11 ),
inference(backward_demodulation,[],[f762,f1088]) ).
fof(f1088,plain,
sF79 = app(sF77,sF76),
inference(backward_demodulation,[],[f619,f1087]) ).
fof(f1087,plain,
sF76 = sF78,
inference(forward_demodulation,[],[f1071,f616]) ).
fof(f616,plain,
cons(sK58,nil) = sF76,
introduced(function_definition,[new_symbols(definition,[sF76])]) ).
fof(f1071,plain,
cons(sK58,nil) = sF78,
inference(backward_demodulation,[],[f618,f1068]) ).
fof(f1068,plain,
sK58 = sK59,
inference(subsumption_resolution,[],[f1067,f558]) ).
fof(f558,plain,
ssItem(sK58),
inference(cnf_transformation,[],[f352]) ).
fof(f352,plain,
( ( ( nil = sK55
& nil = sK56 )
| ( memberP(sK56,sK57)
& sK55 = cons(sK57,nil)
& ssItem(sK57) ) )
& ~ neq(sK58,sK59)
& sK53 = app(app(app(sK60,cons(sK58,nil)),cons(sK59,nil)),sK61)
& ssList(sK61)
& ssList(sK60)
& ssItem(sK59)
& ssItem(sK58)
& sK53 = sK55
& sK54 = sK56
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61])],[f222,f351,f350,f349,f348,f347,f346,f345,f344,f343]) ).
fof(f343,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X5] :
( ? [X6] :
( ~ neq(X5,X6)
& ? [X7] :
( ? [X8] :
( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = X0
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& ssItem(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X5] :
( ? [X6] :
( ~ neq(X5,X6)
& ? [X7] :
( ? [X8] :
( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& ssItem(X5) )
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X5] :
( ? [X6] :
( ~ neq(X5,X6)
& ? [X7] :
( ? [X8] :
( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& ssItem(X5) )
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X5] :
( ? [X6] :
( ~ neq(X5,X6)
& ? [X7] :
( ? [X8] :
( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& ssItem(X5) )
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X5] :
( ? [X6] :
( ~ neq(X5,X6)
& ? [X7] :
( ? [X8] :
( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& ssItem(X5) )
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil = sK55
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = sK55
& ssItem(X4) ) )
& ? [X5] :
( ? [X6] :
( ~ neq(X5,X6)
& ? [X7] :
( ? [X8] :
( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& ssItem(X5) )
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
& ssList(sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
( ? [X3] :
( ( ( nil = sK55
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = sK55
& ssItem(X4) ) )
& ? [X5] :
( ? [X6] :
( ~ neq(X5,X6)
& ? [X7] :
( ? [X8] :
( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& ssItem(X5) )
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
=> ( ( ( nil = sK55
& nil = sK56 )
| ? [X4] :
( memberP(sK56,X4)
& cons(X4,nil) = sK55
& ssItem(X4) ) )
& ? [X5] :
( ? [X6] :
( ~ neq(X5,X6)
& ? [X7] :
( ? [X8] :
( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& ssItem(X5) )
& sK53 = sK55
& sK54 = sK56
& ssList(sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
( ? [X4] :
( memberP(sK56,X4)
& cons(X4,nil) = sK55
& ssItem(X4) )
=> ( memberP(sK56,sK57)
& sK55 = cons(sK57,nil)
& ssItem(sK57) ) ),
introduced(choice_axiom,[]) ).
fof(f348,plain,
( ? [X5] :
( ? [X6] :
( ~ neq(X5,X6)
& ? [X7] :
( ? [X8] :
( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& ssItem(X5) )
=> ( ? [X6] :
( ~ neq(sK58,X6)
& ? [X7] :
( ? [X8] :
( sK53 = app(app(app(X7,cons(sK58,nil)),cons(X6,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& ssItem(sK58) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
( ? [X6] :
( ~ neq(sK58,X6)
& ? [X7] :
( ? [X8] :
( sK53 = app(app(app(X7,cons(sK58,nil)),cons(X6,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
=> ( ~ neq(sK58,sK59)
& ? [X7] :
( ? [X8] :
( sK53 = app(app(app(X7,cons(sK58,nil)),cons(sK59,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssItem(sK59) ) ),
introduced(choice_axiom,[]) ).
fof(f350,plain,
( ? [X7] :
( ? [X8] :
( sK53 = app(app(app(X7,cons(sK58,nil)),cons(sK59,nil)),X8)
& ssList(X8) )
& ssList(X7) )
=> ( ? [X8] :
( sK53 = app(app(app(sK60,cons(sK58,nil)),cons(sK59,nil)),X8)
& ssList(X8) )
& ssList(sK60) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
( ? [X8] :
( sK53 = app(app(app(sK60,cons(sK58,nil)),cons(sK59,nil)),X8)
& ssList(X8) )
=> ( sK53 = app(app(app(sK60,cons(sK58,nil)),cons(sK59,nil)),sK61)
& ssList(sK61) ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X5] :
( ? [X6] :
( ~ neq(X5,X6)
& ? [X7] :
( ? [X8] :
( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = X0
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& ssItem(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ~ memberP(X3,X4)
| cons(X4,nil) != X2
| ~ ssItem(X4) ) )
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( neq(X5,X6)
| ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) != X0 ) )
| ~ ssItem(X6) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( nil != X2
| nil != X3 )
& ! [X8] :
( ~ memberP(X3,X8)
| cons(X8,nil) != X2
| ~ ssItem(X8) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( neq(X4,X5)
| ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0 ) )
| ~ ssItem(X5) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( nil != X2
| nil != X3 )
& ! [X8] :
( ~ memberP(X3,X8)
| cons(X8,nil) != X2
| ~ ssItem(X8) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( neq(X4,X5)
| ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0 ) )
| ~ ssItem(X5) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',co1) ).
fof(f1067,plain,
( sK58 = sK59
| ~ ssItem(sK58) ),
inference(subsumption_resolution,[],[f1062,f559]) ).
fof(f559,plain,
ssItem(sK59),
inference(cnf_transformation,[],[f352]) ).
fof(f1062,plain,
( sK58 = sK59
| ~ ssItem(sK59)
| ~ ssItem(sK58) ),
inference(resolution,[],[f354,f563]) ).
fof(f563,plain,
~ neq(sK58,sK59),
inference(cnf_transformation,[],[f352]) ).
fof(f354,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax1) ).
fof(f618,plain,
cons(sK59,nil) = sF78,
introduced(function_definition,[new_symbols(definition,[sF78])]) ).
fof(f619,plain,
app(sF77,sF78) = sF79,
introduced(function_definition,[new_symbols(definition,[sF79])]) ).
fof(f762,plain,
( ssList(app(sF77,sF76))
| ~ spl81_11 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f761,plain,
( spl81_11
<=> ssList(app(sF77,sF76)) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_11])]) ).
fof(f4848,plain,
( ~ ssList(sF79)
| spl81_69
| spl81_247 ),
inference(subsumption_resolution,[],[f4847,f1553]) ).
fof(f1553,plain,
( nil != sF79
| spl81_69 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f1552,plain,
( spl81_69
<=> nil = sF79 ),
introduced(avatar_definition,[new_symbols(naming,[spl81_69])]) ).
fof(f4847,plain,
( nil = sF79
| ~ ssList(sF79)
| spl81_247 ),
inference(resolution,[],[f4028,f455]) ).
fof(f455,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax24) ).
fof(f4028,plain,
( ~ ssList(tl(sF79))
| spl81_247 ),
inference(avatar_component_clause,[],[f4026]) ).
fof(f4026,plain,
( spl81_247
<=> ssList(tl(sF79)) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_247])]) ).
fof(f4597,plain,
( ~ spl81_3
| ~ spl81_9
| ~ spl81_48
| ~ spl81_167 ),
inference(avatar_contradiction_clause,[],[f4596]) ).
fof(f4596,plain,
( $false
| ~ spl81_3
| ~ spl81_9
| ~ spl81_48
| ~ spl81_167 ),
inference(subsumption_resolution,[],[f4567,f1506]) ).
fof(f1506,plain,
( sP0(sK55)
| ~ spl81_3
| ~ spl81_48 ),
inference(forward_demodulation,[],[f1349,f640]) ).
fof(f640,plain,
( sK55 = sF75
| ~ spl81_3 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f638,plain,
( spl81_3
<=> sK55 = sF75 ),
introduced(avatar_definition,[new_symbols(naming,[spl81_3])]) ).
fof(f1349,plain,
( sP0(sF75)
| ~ spl81_48 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f1347,plain,
( spl81_48
<=> sP0(sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_48])]) ).
fof(f4567,plain,
( ~ sP0(sK55)
| ~ spl81_9
| ~ spl81_167 ),
inference(backward_demodulation,[],[f1109,f2929]) ).
fof(f2929,plain,
( sK55 = sF79
| ~ spl81_167 ),
inference(avatar_component_clause,[],[f2927]) ).
fof(f2927,plain,
( spl81_167
<=> sK55 = sF79 ),
introduced(avatar_definition,[new_symbols(naming,[spl81_167])]) ).
fof(f1109,plain,
( ~ sP0(sF79)
| ~ spl81_9 ),
inference(backward_demodulation,[],[f739,f1088]) ).
fof(f739,plain,
( ~ sP0(app(sF77,sF76))
| ~ spl81_9 ),
inference(subsumption_resolution,[],[f738,f560]) ).
fof(f560,plain,
ssList(sK60),
inference(cnf_transformation,[],[f352]) ).
fof(f738,plain,
( ~ sP0(app(sF77,sF76))
| ~ ssList(sK60)
| ~ spl81_9 ),
inference(superposition,[],[f716,f617]) ).
fof(f617,plain,
app(sK60,sF76) = sF77,
introduced(function_definition,[new_symbols(definition,[sF77])]) ).
fof(f716,plain,
( ! [X0] :
( ~ sP0(app(app(X0,sF76),sF76))
| ~ ssList(X0) )
| ~ spl81_9 ),
inference(subsumption_resolution,[],[f715,f445]) ).
fof(f445,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax17) ).
fof(f715,plain,
( ! [X0] :
( ~ sP0(app(app(X0,sF76),sF76))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl81_9 ),
inference(superposition,[],[f697,f616]) ).
fof(f697,plain,
( ! [X0,X1] :
( ~ sP0(app(app(X1,cons(sK58,X0)),sF76))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl81_9 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f696,plain,
( spl81_9
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ sP0(app(app(X1,cons(sK58,X0)),sF76)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_9])]) ).
fof(f4561,plain,
( spl81_166
| ~ spl81_3
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22
| spl81_45
| ~ spl81_51
| spl81_69
| ~ spl81_169
| ~ spl81_182 ),
inference(avatar_split_clause,[],[f4434,f3286,f2990,f1552,f1364,f1316,f858,f849,f784,f638,f2923]) ).
fof(f2923,plain,
( spl81_166
<=> frontsegP(sF79,sK55) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_166])]) ).
fof(f784,plain,
( spl81_14
<=> ssList(sF77) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_14])]) ).
fof(f849,plain,
( spl81_20
<=> ssList(sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_20])]) ).
fof(f858,plain,
( spl81_22
<=> ssList(sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_22])]) ).
fof(f1316,plain,
( spl81_45
<=> nil = sF77 ),
introduced(avatar_definition,[new_symbols(naming,[spl81_45])]) ).
fof(f1364,plain,
( spl81_51
<=> sK57 = hd(sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_51])]) ).
fof(f2990,plain,
( spl81_169
<=> sF76 = sF77 ),
introduced(avatar_definition,[new_symbols(naming,[spl81_169])]) ).
fof(f3286,plain,
( spl81_182
<=> ssList(sK11(sK55,sF79)) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_182])]) ).
fof(f4434,plain,
( frontsegP(sF79,sK55)
| ~ spl81_3
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22
| spl81_45
| ~ spl81_51
| spl81_69
| ~ spl81_169
| ~ spl81_182 ),
inference(backward_demodulation,[],[f4290,f4397]) ).
fof(f4397,plain,
( sK55 = sF76
| ~ spl81_3
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22
| spl81_45
| ~ spl81_51
| spl81_69
| ~ spl81_169
| ~ spl81_182 ),
inference(forward_demodulation,[],[f4321,f1481]) ).
fof(f1481,plain,
( sK55 = cons(sK57,nil)
| ~ spl81_3 ),
inference(backward_demodulation,[],[f613,f640]) ).
fof(f613,plain,
cons(sK57,nil) = sF75,
introduced(function_definition,[new_symbols(definition,[sF75])]) ).
fof(f4321,plain,
( cons(sK57,nil) = sF76
| ~ spl81_3
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22
| spl81_45
| ~ spl81_51
| spl81_69
| ~ spl81_169
| ~ spl81_182 ),
inference(backward_demodulation,[],[f616,f4319]) ).
fof(f4319,plain,
( sK57 = sK58
| ~ spl81_3
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22
| spl81_45
| ~ spl81_51
| spl81_69
| ~ spl81_169
| ~ spl81_182 ),
inference(forward_demodulation,[],[f4303,f1162]) ).
fof(f1162,plain,
sK58 = hd(sF76),
inference(subsumption_resolution,[],[f1161,f445]) ).
fof(f1161,plain,
( sK58 = hd(sF76)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1159,f558]) ).
fof(f1159,plain,
( sK58 = hd(sF76)
| ~ ssItem(sK58)
| ~ ssList(nil) ),
inference(superposition,[],[f454,f616]) ).
fof(f454,plain,
! [X0,X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax23) ).
fof(f4303,plain,
( sK57 = hd(sF76)
| ~ spl81_3
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22
| spl81_45
| ~ spl81_51
| spl81_69
| ~ spl81_169
| ~ spl81_182 ),
inference(backward_demodulation,[],[f4232,f2992]) ).
fof(f2992,plain,
( sF76 = sF77
| ~ spl81_169 ),
inference(avatar_component_clause,[],[f2990]) ).
fof(f4232,plain,
( sK57 = hd(sF77)
| ~ spl81_3
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22
| spl81_45
| ~ spl81_51
| spl81_69
| ~ spl81_182 ),
inference(forward_demodulation,[],[f3393,f4230]) ).
fof(f4230,plain,
( sK57 = hd(sF79)
| ~ spl81_3
| ~ spl81_14
| ~ spl81_22
| ~ spl81_51
| spl81_69
| ~ spl81_182 ),
inference(forward_demodulation,[],[f3404,f1503]) ).
fof(f1503,plain,
( sK57 = hd(sK55)
| ~ spl81_3
| ~ spl81_51 ),
inference(forward_demodulation,[],[f1366,f640]) ).
fof(f1366,plain,
( sK57 = hd(sF75)
| ~ spl81_51 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f3404,plain,
( hd(sK55) = hd(sF79)
| ~ spl81_14
| ~ spl81_22
| spl81_69
| ~ spl81_182 ),
inference(subsumption_resolution,[],[f3403,f1004]) ).
fof(f1004,plain,
( ssList(sF79)
| ~ spl81_14
| ~ spl81_22 ),
inference(subsumption_resolution,[],[f1003,f785]) ).
fof(f785,plain,
( ssList(sF77)
| ~ spl81_14 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f1003,plain,
( ssList(sF79)
| ~ ssList(sF77)
| ~ spl81_22 ),
inference(subsumption_resolution,[],[f975,f859]) ).
fof(f859,plain,
( ssList(sF78)
| ~ spl81_22 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f975,plain,
( ssList(sF79)
| ~ ssList(sF78)
| ~ ssList(sF77) ),
inference(superposition,[],[f457,f619]) ).
fof(f457,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax26) ).
fof(f3403,plain,
( hd(sK55) = hd(sF79)
| ~ ssList(sF79)
| ~ spl81_14
| ~ spl81_22
| spl81_69
| ~ spl81_182 ),
inference(subsumption_resolution,[],[f3402,f3287]) ).
fof(f3287,plain,
( ssList(sK11(sK55,sF79))
| ~ spl81_182 ),
inference(avatar_component_clause,[],[f3286]) ).
fof(f3402,plain,
( hd(sK55) = hd(sF79)
| ~ ssList(sK11(sK55,sF79))
| ~ ssList(sF79)
| ~ spl81_14
| ~ spl81_22
| spl81_69 ),
inference(subsumption_resolution,[],[f3373,f1553]) ).
fof(f3373,plain,
( hd(sK55) = hd(sF79)
| nil = sF79
| ~ ssList(sK11(sK55,sF79))
| ~ ssList(sF79)
| ~ spl81_14
| ~ spl81_22 ),
inference(superposition,[],[f539,f3019]) ).
fof(f3019,plain,
( sK55 = app(sF79,sK11(sK55,sF79))
| ~ spl81_14
| ~ spl81_22 ),
inference(subsumption_resolution,[],[f3018,f554]) ).
fof(f554,plain,
ssList(sK55),
inference(cnf_transformation,[],[f352]) ).
fof(f3018,plain,
( sK55 = app(sF79,sK11(sK55,sF79))
| ~ ssList(sK55)
| ~ spl81_14
| ~ spl81_22 ),
inference(subsumption_resolution,[],[f3000,f1004]) ).
fof(f3000,plain,
( sK55 = app(sF79,sK11(sK55,sF79))
| ~ ssList(sF79)
| ~ ssList(sK55)
| ~ spl81_14
| ~ spl81_22 ),
inference(resolution,[],[f366,f2894]) ).
fof(f2894,plain,
( frontsegP(sK55,sF79)
| ~ spl81_14
| ~ spl81_22 ),
inference(subsumption_resolution,[],[f2893,f554]) ).
fof(f2893,plain,
( frontsegP(sK55,sF79)
| ~ ssList(sK55)
| ~ spl81_14
| ~ spl81_22 ),
inference(subsumption_resolution,[],[f2892,f1004]) ).
fof(f2892,plain,
( frontsegP(sK55,sF79)
| ~ ssList(sF79)
| ~ ssList(sK55) ),
inference(subsumption_resolution,[],[f2873,f561]) ).
fof(f561,plain,
ssList(sK61),
inference(cnf_transformation,[],[f352]) ).
fof(f2873,plain,
( frontsegP(sK55,sF79)
| ~ ssList(sK61)
| ~ ssList(sF79)
| ~ ssList(sK55) ),
inference(superposition,[],[f598,f655]) ).
fof(f655,plain,
sK55 = app(sF79,sK61),
inference(backward_demodulation,[],[f620,f654]) ).
fof(f654,plain,
sK55 = sF80,
inference(forward_demodulation,[],[f621,f557]) ).
fof(f557,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f352]) ).
fof(f621,plain,
sK53 = sF80,
inference(definition_folding,[],[f562,f620,f619,f618,f617,f616]) ).
fof(f562,plain,
sK53 = app(app(app(sK60,cons(sK58,nil)),cons(sK59,nil)),sK61),
inference(cnf_transformation,[],[f352]) ).
fof(f620,plain,
app(sF79,sK61) = sF80,
introduced(function_definition,[new_symbols(definition,[sF80])]) ).
fof(f598,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ),
inference(equality_resolution,[],[f367]) ).
fof(f367,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ( app(X1,sK11(X0,X1)) = X0
& ssList(sK11(X0,X1)) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f246,f247]) ).
fof(f247,plain,
! [X0,X1] :
( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
=> ( app(X1,sK11(X0,X1)) = X0
& ssList(sK11(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f245]) ).
fof(f245,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X1,X2) = X0
& ssList(X2) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax5) ).
fof(f366,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| app(X1,sK11(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f539,plain,
! [X0,X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(X0) = hd(app(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax85) ).
fof(f3393,plain,
( hd(sF77) = hd(sF79)
| ~ spl81_14
| ~ spl81_20
| spl81_45 ),
inference(subsumption_resolution,[],[f3392,f785]) ).
fof(f3392,plain,
( hd(sF77) = hd(sF79)
| ~ ssList(sF77)
| ~ spl81_20
| spl81_45 ),
inference(subsumption_resolution,[],[f3391,f850]) ).
fof(f850,plain,
( ssList(sF76)
| ~ spl81_20 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f3391,plain,
( hd(sF77) = hd(sF79)
| ~ ssList(sF76)
| ~ ssList(sF77)
| spl81_45 ),
inference(subsumption_resolution,[],[f3371,f1317]) ).
fof(f1317,plain,
( nil != sF77
| spl81_45 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f3371,plain,
( hd(sF77) = hd(sF79)
| nil = sF77
| ~ ssList(sF76)
| ~ ssList(sF77) ),
inference(superposition,[],[f539,f1088]) ).
fof(f4290,plain,
( frontsegP(sF79,sF76)
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22
| ~ spl81_169 ),
inference(backward_demodulation,[],[f2891,f2992]) ).
fof(f2891,plain,
( frontsegP(sF79,sF77)
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22 ),
inference(subsumption_resolution,[],[f2890,f1004]) ).
fof(f2890,plain,
( frontsegP(sF79,sF77)
| ~ ssList(sF79)
| ~ spl81_14
| ~ spl81_20 ),
inference(subsumption_resolution,[],[f2889,f785]) ).
fof(f2889,plain,
( frontsegP(sF79,sF77)
| ~ ssList(sF77)
| ~ ssList(sF79)
| ~ spl81_20 ),
inference(subsumption_resolution,[],[f2872,f850]) ).
fof(f2872,plain,
( frontsegP(sF79,sF77)
| ~ ssList(sF76)
| ~ ssList(sF77)
| ~ ssList(sF79) ),
inference(superposition,[],[f598,f1088]) ).
fof(f4278,plain,
( spl81_169
| ~ spl81_20
| ~ spl81_43 ),
inference(avatar_split_clause,[],[f4277,f1305,f849,f2990]) ).
fof(f1305,plain,
( spl81_43
<=> nil = sK60 ),
introduced(avatar_definition,[new_symbols(naming,[spl81_43])]) ).
fof(f4277,plain,
( sF76 = sF77
| ~ spl81_20
| ~ spl81_43 ),
inference(subsumption_resolution,[],[f4262,f850]) ).
fof(f4262,plain,
( sF76 = sF77
| ~ ssList(sF76)
| ~ spl81_43 ),
inference(superposition,[],[f459,f4246]) ).
fof(f4246,plain,
( sF77 = app(nil,sF76)
| ~ spl81_43 ),
inference(backward_demodulation,[],[f617,f1307]) ).
fof(f1307,plain,
( nil = sK60
| ~ spl81_43 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f459,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax28) ).
fof(f4117,plain,
( ~ spl81_247
| spl81_167
| ~ spl81_3
| ~ spl81_4
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22
| spl81_43
| spl81_45
| ~ spl81_51
| spl81_69 ),
inference(avatar_split_clause,[],[f4116,f1552,f1364,f1316,f1305,f858,f849,f784,f643,f638,f2927,f4026]) ).
fof(f643,plain,
( spl81_4
<=> ssItem(sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_4])]) ).
fof(f4116,plain,
( sK55 = sF79
| ~ ssList(tl(sF79))
| ~ spl81_3
| ~ spl81_4
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22
| spl81_43
| spl81_45
| ~ spl81_51
| spl81_69 ),
inference(subsumption_resolution,[],[f4003,f2894]) ).
fof(f4003,plain,
( ~ frontsegP(sK55,sF79)
| sK55 = sF79
| ~ ssList(tl(sF79))
| ~ spl81_3
| ~ spl81_4
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22
| spl81_43
| spl81_45
| ~ spl81_51
| spl81_69 ),
inference(superposition,[],[f2934,f3497]) ).
fof(f3497,plain,
( sF79 = cons(sK57,tl(sF79))
| ~ spl81_3
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22
| spl81_43
| spl81_45
| ~ spl81_51
| spl81_69 ),
inference(subsumption_resolution,[],[f3496,f1004]) ).
fof(f3496,plain,
( sF79 = cons(sK57,tl(sF79))
| ~ ssList(sF79)
| ~ spl81_3
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22
| spl81_43
| spl81_45
| ~ spl81_51
| spl81_69 ),
inference(subsumption_resolution,[],[f3490,f1553]) ).
fof(f3490,plain,
( sF79 = cons(sK57,tl(sF79))
| nil = sF79
| ~ ssList(sF79)
| ~ spl81_3
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22
| spl81_43
| spl81_45
| ~ spl81_51
| spl81_69 ),
inference(superposition,[],[f530,f3400]) ).
fof(f3400,plain,
( sK57 = hd(sF79)
| ~ spl81_3
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22
| spl81_43
| spl81_45
| ~ spl81_51
| spl81_69 ),
inference(backward_demodulation,[],[f3394,f3399]) ).
fof(f3399,plain,
( sK57 = hd(sK60)
| ~ spl81_3
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22
| spl81_43
| spl81_45
| ~ spl81_51
| spl81_69 ),
inference(forward_demodulation,[],[f3398,f1503]) ).
fof(f3398,plain,
( hd(sK55) = hd(sK60)
| ~ spl81_14
| ~ spl81_20
| ~ spl81_22
| spl81_43
| spl81_45
| spl81_69 ),
inference(forward_demodulation,[],[f3397,f3394]) ).
fof(f3397,plain,
( hd(sK55) = hd(sF79)
| ~ spl81_14
| ~ spl81_22
| spl81_69 ),
inference(subsumption_resolution,[],[f3396,f1004]) ).
fof(f3396,plain,
( hd(sK55) = hd(sF79)
| ~ ssList(sF79)
| spl81_69 ),
inference(subsumption_resolution,[],[f3395,f561]) ).
fof(f3395,plain,
( hd(sK55) = hd(sF79)
| ~ ssList(sK61)
| ~ ssList(sF79)
| spl81_69 ),
inference(subsumption_resolution,[],[f3372,f1553]) ).
fof(f3372,plain,
( hd(sK55) = hd(sF79)
| nil = sF79
| ~ ssList(sK61)
| ~ ssList(sF79) ),
inference(superposition,[],[f539,f655]) ).
fof(f3394,plain,
( hd(sK60) = hd(sF79)
| ~ spl81_14
| ~ spl81_20
| spl81_43
| spl81_45 ),
inference(forward_demodulation,[],[f3393,f3387]) ).
fof(f3387,plain,
( hd(sK60) = hd(sF77)
| ~ spl81_20
| spl81_43 ),
inference(subsumption_resolution,[],[f3386,f560]) ).
fof(f3386,plain,
( hd(sK60) = hd(sF77)
| ~ ssList(sK60)
| ~ spl81_20
| spl81_43 ),
inference(subsumption_resolution,[],[f3385,f850]) ).
fof(f3385,plain,
( hd(sK60) = hd(sF77)
| ~ ssList(sF76)
| ~ ssList(sK60)
| spl81_43 ),
inference(subsumption_resolution,[],[f3368,f1306]) ).
fof(f1306,plain,
( nil != sK60
| spl81_43 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f3368,plain,
( hd(sK60) = hd(sF77)
| nil = sK60
| ~ ssList(sF76)
| ~ ssList(sK60) ),
inference(superposition,[],[f539,f617]) ).
fof(f530,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax78) ).
fof(f2934,plain,
( ! [X0] :
( ~ frontsegP(sK55,cons(sK57,X0))
| sK55 = cons(sK57,X0)
| ~ ssList(X0) )
| ~ spl81_3
| ~ spl81_4 ),
inference(subsumption_resolution,[],[f2933,f2429]) ).
fof(f2429,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0) )
| ~ spl81_3
| ~ spl81_4 ),
inference(subsumption_resolution,[],[f2420,f554]) ).
fof(f2420,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK55) )
| ~ spl81_3
| ~ spl81_4 ),
inference(duplicate_literal_removal,[],[f2400]) ).
fof(f2400,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(X0) )
| ~ spl81_3
| ~ spl81_4 ),
inference(superposition,[],[f457,f2390]) ).
fof(f2390,plain,
( ! [X0] :
( cons(sK57,X0) = app(sK55,X0)
| ~ ssList(X0) )
| ~ spl81_3
| ~ spl81_4 ),
inference(forward_demodulation,[],[f2388,f1481]) ).
fof(f2388,plain,
( ! [X0] :
( cons(sK57,X0) = app(cons(sK57,nil),X0)
| ~ ssList(X0) )
| ~ spl81_4 ),
inference(resolution,[],[f533,f645]) ).
fof(f645,plain,
( ssItem(sK57)
| ~ spl81_4 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f533,plain,
! [X0,X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax81) ).
fof(f2933,plain,
( ! [X0] :
( ~ ssList(X0)
| sK55 = cons(sK57,X0)
| ~ frontsegP(sK55,cons(sK57,X0))
| ~ ssList(cons(sK57,X0)) )
| ~ spl81_3
| ~ spl81_4 ),
inference(subsumption_resolution,[],[f2931,f554]) ).
fof(f2931,plain,
( ! [X0] :
( ~ ssList(X0)
| sK55 = cons(sK57,X0)
| ~ frontsegP(sK55,cons(sK57,X0))
| ~ ssList(cons(sK57,X0))
| ~ ssList(sK55) )
| ~ spl81_3
| ~ spl81_4 ),
inference(resolution,[],[f2883,f478]) ).
fof(f478,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| X0 = X1
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X1,X0)
& frontsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax41) ).
fof(f2883,plain,
( ! [X0] :
( frontsegP(cons(sK57,X0),sK55)
| ~ ssList(X0) )
| ~ spl81_3
| ~ spl81_4 ),
inference(subsumption_resolution,[],[f2882,f2429]) ).
fof(f2882,plain,
( ! [X0] :
( frontsegP(cons(sK57,X0),sK55)
| ~ ssList(X0)
| ~ ssList(cons(sK57,X0)) )
| ~ spl81_3
| ~ spl81_4 ),
inference(subsumption_resolution,[],[f2875,f554]) ).
fof(f2875,plain,
( ! [X0] :
( frontsegP(cons(sK57,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(cons(sK57,X0)) )
| ~ spl81_3
| ~ spl81_4 ),
inference(duplicate_literal_removal,[],[f2869]) ).
fof(f2869,plain,
( ! [X0] :
( frontsegP(cons(sK57,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(cons(sK57,X0))
| ~ ssList(X0) )
| ~ spl81_3
| ~ spl81_4 ),
inference(superposition,[],[f598,f2390]) ).
fof(f3341,plain,
( ~ spl81_14
| ~ spl81_22
| spl81_182 ),
inference(avatar_contradiction_clause,[],[f3340]) ).
fof(f3340,plain,
( $false
| ~ spl81_14
| ~ spl81_22
| spl81_182 ),
inference(subsumption_resolution,[],[f3339,f554]) ).
fof(f3339,plain,
( ~ ssList(sK55)
| ~ spl81_14
| ~ spl81_22
| spl81_182 ),
inference(subsumption_resolution,[],[f3338,f1004]) ).
fof(f3338,plain,
( ~ ssList(sF79)
| ~ ssList(sK55)
| ~ spl81_14
| ~ spl81_22
| spl81_182 ),
inference(subsumption_resolution,[],[f3337,f2894]) ).
fof(f3337,plain,
( ~ frontsegP(sK55,sF79)
| ~ ssList(sF79)
| ~ ssList(sK55)
| spl81_182 ),
inference(resolution,[],[f3288,f365]) ).
fof(f365,plain,
! [X0,X1] :
( ssList(sK11(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f3288,plain,
( ~ ssList(sK11(sK55,sF79))
| spl81_182 ),
inference(avatar_component_clause,[],[f3286]) ).
fof(f2930,plain,
( ~ spl81_166
| spl81_167
| ~ spl81_14
| ~ spl81_22 ),
inference(avatar_split_clause,[],[f2921,f858,f784,f2927,f2923]) ).
fof(f2921,plain,
( sK55 = sF79
| ~ frontsegP(sF79,sK55)
| ~ spl81_14
| ~ spl81_22 ),
inference(subsumption_resolution,[],[f2920,f1004]) ).
fof(f2920,plain,
( sK55 = sF79
| ~ frontsegP(sF79,sK55)
| ~ ssList(sF79)
| ~ spl81_14
| ~ spl81_22 ),
inference(subsumption_resolution,[],[f2919,f554]) ).
fof(f2919,plain,
( sK55 = sF79
| ~ frontsegP(sF79,sK55)
| ~ ssList(sK55)
| ~ ssList(sF79)
| ~ spl81_14
| ~ spl81_22 ),
inference(resolution,[],[f2894,f478]) ).
fof(f1572,plain,
( spl81_12
| ~ spl81_69 ),
inference(avatar_contradiction_clause,[],[f1571]) ).
fof(f1571,plain,
( $false
| spl81_12
| ~ spl81_69 ),
inference(subsumption_resolution,[],[f1567,f522]) ).
fof(f522,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax72) ).
fof(f1567,plain,
( ~ duplicatefreeP(nil)
| spl81_12
| ~ spl81_69 ),
inference(backward_demodulation,[],[f1108,f1554]) ).
fof(f1554,plain,
( nil = sF79
| ~ spl81_69 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f1108,plain,
( ~ duplicatefreeP(sF79)
| spl81_12 ),
inference(backward_demodulation,[],[f767,f1088]) ).
fof(f767,plain,
( ~ duplicatefreeP(app(sF77,sF76))
| spl81_12 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f765,plain,
( spl81_12
<=> duplicatefreeP(app(sF77,sF76)) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_12])]) ).
fof(f1510,plain,
( ~ spl81_44
| ~ spl81_45 ),
inference(avatar_contradiction_clause,[],[f1509]) ).
fof(f1509,plain,
( $false
| ~ spl81_44
| ~ spl81_45 ),
inference(subsumption_resolution,[],[f1508,f591]) ).
fof(f591,plain,
~ sP73(nil),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP73])]) ).
fof(f1508,plain,
( sP73(nil)
| ~ spl81_44
| ~ spl81_45 ),
inference(forward_demodulation,[],[f1311,f1318]) ).
fof(f1318,plain,
( nil = sF77
| ~ spl81_45 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f1311,plain,
( sP73(sF77)
| ~ spl81_44 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f1309,plain,
( spl81_44
<=> sP73(sF77) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_44])]) ).
fof(f1477,plain,
( spl81_15
| ~ spl81_43
| ~ spl81_45 ),
inference(avatar_contradiction_clause,[],[f1476]) ).
fof(f1476,plain,
( $false
| spl81_15
| ~ spl81_43
| ~ spl81_45 ),
inference(subsumption_resolution,[],[f1472,f522]) ).
fof(f1472,plain,
( ~ duplicatefreeP(nil)
| spl81_15
| ~ spl81_43
| ~ spl81_45 ),
inference(backward_demodulation,[],[f1460,f1465]) ).
fof(f1465,plain,
( nil = app(nil,sF76)
| ~ spl81_43
| ~ spl81_45 ),
inference(backward_demodulation,[],[f1451,f1455]) ).
fof(f1455,plain,
( nil = sF79
| ~ spl81_43
| ~ spl81_45 ),
inference(forward_demodulation,[],[f1453,f1451]) ).
fof(f1453,plain,
( nil = app(nil,sF76)
| ~ spl81_43
| ~ spl81_45 ),
inference(backward_demodulation,[],[f1447,f1307]) ).
fof(f1447,plain,
( nil = app(sK60,sF76)
| ~ spl81_45 ),
inference(backward_demodulation,[],[f617,f1318]) ).
fof(f1451,plain,
( sF79 = app(nil,sF76)
| ~ spl81_45 ),
inference(backward_demodulation,[],[f1088,f1318]) ).
fof(f1460,plain,
( ~ duplicatefreeP(app(nil,sF76))
| spl81_15
| ~ spl81_43
| ~ spl81_45 ),
inference(backward_demodulation,[],[f1095,f1455]) ).
fof(f1095,plain,
( ~ duplicatefreeP(app(sF79,sF76))
| spl81_15 ),
inference(backward_demodulation,[],[f790,f1087]) ).
fof(f790,plain,
( ~ duplicatefreeP(app(sF79,sF78))
| spl81_15 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f788,plain,
( spl81_15
<=> duplicatefreeP(app(sF79,sF78)) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_15])]) ).
fof(f1391,plain,
( ~ spl81_4
| spl81_47 ),
inference(avatar_split_clause,[],[f1390,f1343,f643]) ).
fof(f1343,plain,
( spl81_47
<=> ssList(sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_47])]) ).
fof(f1390,plain,
( ssList(sF75)
| ~ ssItem(sK57) ),
inference(subsumption_resolution,[],[f907,f445]) ).
fof(f907,plain,
( ssList(sF75)
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f444,f613]) ).
fof(f444,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax16) ).
fof(f1367,plain,
( ~ spl81_4
| spl81_51 ),
inference(avatar_split_clause,[],[f1362,f1364,f643]) ).
fof(f1362,plain,
( sK57 = hd(sF75)
| ~ ssItem(sK57) ),
inference(subsumption_resolution,[],[f1158,f445]) ).
fof(f1158,plain,
( sK57 = hd(sF75)
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f454,f613]) ).
fof(f1350,plain,
( ~ spl81_4
| ~ spl81_47
| spl81_48 ),
inference(avatar_split_clause,[],[f1270,f1347,f1343,f643]) ).
fof(f1270,plain,
( sP0(sF75)
| ~ ssList(sF75)
| ~ ssItem(sK57) ),
inference(superposition,[],[f843,f613]) ).
fof(f843,plain,
! [X0] :
( sP0(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(resolution,[],[f732,f501]) ).
fof(f501,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ssItem(X0)
=> cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax59) ).
fof(f732,plain,
! [X0] :
( ~ cyclefreeP(X0)
| sP0(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f375,f386]) ).
fof(f386,plain,
! [X0] :
( sP1(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0] :
( sP1(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f106,f224,f223]) ).
fof(f223,plain,
! [X0] :
( sP0(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f224,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f106,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ssList(X0)
=> ( cyclefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ~ ( leq(X2,X1)
& leq(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax8) ).
fof(f375,plain,
! [X0] :
( ~ sP1(X0)
| ~ cyclefreeP(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0] :
( ( ( cyclefreeP(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ cyclefreeP(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f224]) ).
fof(f1338,plain,
( ~ spl81_2
| spl81_12
| ~ spl81_14
| ~ spl81_22 ),
inference(avatar_contradiction_clause,[],[f1337]) ).
fof(f1337,plain,
( $false
| ~ spl81_2
| spl81_12
| ~ spl81_14
| ~ spl81_22 ),
inference(subsumption_resolution,[],[f1334,f522]) ).
fof(f1334,plain,
( ~ duplicatefreeP(nil)
| ~ spl81_2
| spl81_12
| ~ spl81_14
| ~ spl81_22 ),
inference(backward_demodulation,[],[f1108,f1326]) ).
fof(f1326,plain,
( nil = sF79
| ~ spl81_2
| ~ spl81_14
| ~ spl81_22 ),
inference(subsumption_resolution,[],[f1325,f1004]) ).
fof(f1325,plain,
( nil = sF79
| ~ ssList(sF79)
| ~ spl81_2 ),
inference(subsumption_resolution,[],[f1324,f561]) ).
fof(f1324,plain,
( nil = sF79
| ~ ssList(sK61)
| ~ ssList(sF79)
| ~ spl81_2 ),
inference(subsumption_resolution,[],[f1299,f591]) ).
fof(f1299,plain,
( sP73(nil)
| nil = sF79
| ~ ssList(sK61)
| ~ ssList(sF79)
| ~ spl81_2 ),
inference(superposition,[],[f592,f661]) ).
fof(f661,plain,
( nil = app(sF79,sK61)
| ~ spl81_2 ),
inference(backward_demodulation,[],[f655,f635]) ).
fof(f635,plain,
( nil = sK55
| ~ spl81_2 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f633,plain,
( spl81_2
<=> nil = sK55 ),
introduced(avatar_definition,[new_symbols(naming,[spl81_2])]) ).
fof(f592,plain,
! [X0,X1] :
( sP73(app(X0,X1))
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(inequality_splitting,[],[f536,f591]) ).
fof(f536,plain,
! [X0,X1] :
( nil = X0
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f340,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f339]) ).
fof(f339,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax83) ).
fof(f1312,plain,
( spl81_43
| spl81_44
| ~ spl81_20 ),
inference(avatar_split_clause,[],[f1303,f849,f1309,f1305]) ).
fof(f1303,plain,
( sP73(sF77)
| nil = sK60
| ~ spl81_20 ),
inference(subsumption_resolution,[],[f1302,f560]) ).
fof(f1302,plain,
( sP73(sF77)
| nil = sK60
| ~ ssList(sK60)
| ~ spl81_20 ),
inference(subsumption_resolution,[],[f1297,f850]) ).
fof(f1297,plain,
( sP73(sF77)
| nil = sK60
| ~ ssList(sF76)
| ~ ssList(sK60) ),
inference(superposition,[],[f592,f617]) ).
fof(f1002,plain,
( ~ spl81_11
| ~ spl81_12 ),
inference(avatar_split_clause,[],[f1001,f765,f761]) ).
fof(f1001,plain,
( ~ duplicatefreeP(app(sF77,sF76))
| ~ ssList(app(sF77,sF76)) ),
inference(subsumption_resolution,[],[f770,f560]) ).
fof(f770,plain,
( ~ duplicatefreeP(app(sF77,sF76))
| ~ ssList(sK60)
| ~ ssList(app(sF77,sF76)) ),
inference(superposition,[],[f752,f617]) ).
fof(f752,plain,
! [X0] :
( ~ duplicatefreeP(app(app(X0,sF76),sF76))
| ~ ssList(X0)
| ~ ssList(app(app(X0,sF76),sF76)) ),
inference(subsumption_resolution,[],[f750,f445]) ).
fof(f750,plain,
! [X0] :
( ~ duplicatefreeP(app(app(X0,sF76),sF76))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(app(app(X0,sF76),sF76)) ),
inference(superposition,[],[f708,f616]) ).
fof(f708,plain,
! [X0,X1] :
( ~ duplicatefreeP(app(app(X0,sF76),cons(sK58,X1)))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,sF76),cons(sK58,X1))) ),
inference(subsumption_resolution,[],[f707,f558]) ).
fof(f707,plain,
! [X0,X1] :
( ~ duplicatefreeP(app(app(X0,sF76),cons(sK58,X1)))
| ~ ssList(X0)
| ~ ssItem(sK58)
| ~ ssList(X1)
| ~ ssList(app(app(X0,sF76),cons(sK58,X1))) ),
inference(subsumption_resolution,[],[f704,f445]) ).
fof(f704,plain,
! [X0,X1] :
( ~ duplicatefreeP(app(app(X0,sF76),cons(sK58,X1)))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK58)
| ~ ssList(X1)
| ~ ssList(app(app(X0,sF76),cons(sK58,X1))) ),
inference(superposition,[],[f626,f616]) ).
fof(f626,plain,
! [X10,X8,X9,X7] :
( ~ duplicatefreeP(app(app(X8,cons(X7,X9)),cons(X7,X10)))
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssList(X10)
| ~ ssList(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
inference(duplicate_literal_removal,[],[f607]) ).
fof(f607,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ duplicatefreeP(app(app(X8,cons(X7,X9)),cons(X7,X10)))
| ~ ssList(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f606]) ).
fof(f606,plain,
! [X10,X0,X8,X9,X7] :
( app(app(X8,cons(X7,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(equality_resolution,[],[f427]) ).
fof(f427,plain,
! [X10,X0,X8,X6,X9,X7] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ( sK40(X0) = sK41(X0)
& app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
& ssList(sK44(X0))
& ssList(sK43(X0))
& ssList(sK42(X0))
& ssItem(sK41(X0))
& ssItem(sK40(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ duplicatefreeP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41,sK42,sK43,sK44])],[f302,f307,f306,f305,f304,f303]) ).
fof(f303,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK40(X0) = X2
& app(app(X3,cons(sK40(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK40(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f304,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK40(X0) = X2
& app(app(X3,cons(sK40(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK40(X0) = sK41(X0)
& app(app(X3,cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f305,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK40(X0) = sK41(X0)
& app(app(X3,cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( sK40(X0) = sK41(X0)
& app(app(sK42(X0),cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f306,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( sK40(X0) = sK41(X0)
& app(app(sK42(X0),cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( sK40(X0) = sK41(X0)
& app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),X5)) = X0
& ssList(X5) )
& ssList(sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f307,plain,
! [X0] :
( ? [X5] :
( sK40(X0) = sK41(X0)
& app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),X5)) = X0
& ssList(X5) )
=> ( sK40(X0) = sK41(X0)
& app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
& ssList(sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f302,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ duplicatefreeP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f301]) ).
fof(f301,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ duplicatefreeP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ssList(X0)
=> ( duplicatefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> X1 != X2 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax13) ).
fof(f991,plain,
( ~ spl81_14
| spl81_11
| ~ spl81_20 ),
inference(avatar_split_clause,[],[f990,f849,f761,f784]) ).
fof(f990,plain,
( ~ ssList(sF77)
| spl81_11
| ~ spl81_20 ),
inference(subsumption_resolution,[],[f970,f850]) ).
fof(f970,plain,
( ~ ssList(sF76)
| ~ ssList(sF77)
| spl81_11 ),
inference(resolution,[],[f457,f763]) ).
fof(f763,plain,
( ~ ssList(app(sF77,sF76))
| spl81_11 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f989,plain,
( spl81_14
| ~ spl81_20 ),
inference(avatar_split_clause,[],[f988,f849,f784]) ).
fof(f988,plain,
( ssList(sF77)
| ~ spl81_20 ),
inference(subsumption_resolution,[],[f987,f560]) ).
fof(f987,plain,
( ssList(sF77)
| ~ ssList(sK60)
| ~ spl81_20 ),
inference(subsumption_resolution,[],[f974,f850]) ).
fof(f974,plain,
( ssList(sF77)
| ~ ssList(sF76)
| ~ ssList(sK60) ),
inference(superposition,[],[f457,f617]) ).
fof(f986,plain,
( ~ spl81_14
| spl81_13
| ~ spl81_22 ),
inference(avatar_split_clause,[],[f985,f858,f780,f784]) ).
fof(f780,plain,
( spl81_13
<=> ssList(app(sF79,sF78)) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_13])]) ).
fof(f985,plain,
( ~ ssList(sF77)
| spl81_13
| ~ spl81_22 ),
inference(subsumption_resolution,[],[f984,f859]) ).
fof(f984,plain,
( ~ ssList(sF78)
| ~ ssList(sF77)
| spl81_13
| ~ spl81_22 ),
inference(subsumption_resolution,[],[f975,f979]) ).
fof(f979,plain,
( ~ ssList(sF79)
| spl81_13
| ~ spl81_22 ),
inference(subsumption_resolution,[],[f971,f859]) ).
fof(f971,plain,
( ~ ssList(sF78)
| ~ ssList(sF79)
| spl81_13 ),
inference(resolution,[],[f457,f782]) ).
fof(f782,plain,
( ~ ssList(app(sF79,sF78))
| spl81_13 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f943,plain,
spl81_22,
inference(avatar_split_clause,[],[f942,f858]) ).
fof(f942,plain,
ssList(sF78),
inference(subsumption_resolution,[],[f941,f445]) ).
fof(f941,plain,
( ssList(sF78)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f909,f559]) ).
fof(f909,plain,
( ssList(sF78)
| ~ ssItem(sK59)
| ~ ssList(nil) ),
inference(superposition,[],[f444,f618]) ).
fof(f920,plain,
spl81_20,
inference(avatar_split_clause,[],[f919,f849]) ).
fof(f919,plain,
ssList(sF76),
inference(subsumption_resolution,[],[f918,f445]) ).
fof(f918,plain,
( ssList(sF76)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f908,f558]) ).
fof(f908,plain,
( ssList(sF76)
| ~ ssItem(sK58)
| ~ ssList(nil) ),
inference(superposition,[],[f444,f616]) ).
fof(f791,plain,
( ~ spl81_13
| ~ spl81_14
| ~ spl81_15 ),
inference(avatar_split_clause,[],[f778,f788,f784,f780]) ).
fof(f778,plain,
( ~ duplicatefreeP(app(sF79,sF78))
| ~ ssList(sF77)
| ~ ssList(app(sF79,sF78)) ),
inference(superposition,[],[f772,f619]) ).
fof(f772,plain,
! [X0] :
( ~ duplicatefreeP(app(app(X0,sF78),sF78))
| ~ ssList(X0)
| ~ ssList(app(app(X0,sF78),sF78)) ),
inference(subsumption_resolution,[],[f771,f445]) ).
fof(f771,plain,
! [X0] :
( ~ duplicatefreeP(app(app(X0,sF78),sF78))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(X0,sF78),sF78)) ),
inference(superposition,[],[f723,f618]) ).
fof(f723,plain,
! [X0,X1] :
( ~ duplicatefreeP(app(app(X0,cons(sK59,X1)),sF78))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(sK59,X1)),sF78)) ),
inference(subsumption_resolution,[],[f722,f445]) ).
fof(f722,plain,
! [X0,X1] :
( ~ duplicatefreeP(app(app(X0,cons(sK59,X1)),sF78))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(app(app(X0,cons(sK59,X1)),sF78)) ),
inference(subsumption_resolution,[],[f717,f559]) ).
fof(f717,plain,
! [X0,X1] :
( ~ duplicatefreeP(app(app(X0,cons(sK59,X1)),sF78))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK59)
| ~ ssList(nil)
| ~ ssList(app(app(X0,cons(sK59,X1)),sF78)) ),
inference(superposition,[],[f626,f618]) ).
fof(f713,plain,
spl81_10,
inference(avatar_contradiction_clause,[],[f712]) ).
fof(f712,plain,
( $false
| spl81_10 ),
inference(subsumption_resolution,[],[f711,f558]) ).
fof(f711,plain,
( ~ ssItem(sK58)
| spl81_10 ),
inference(resolution,[],[f701,f462]) ).
fof(f462,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705',ax31) ).
fof(f701,plain,
( ~ leq(sK58,sK58)
| spl81_10 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f699,plain,
( spl81_10
<=> leq(sK58,sK58) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_10])]) ).
fof(f702,plain,
( spl81_9
| ~ spl81_10 ),
inference(avatar_split_clause,[],[f694,f699,f696]) ).
fof(f694,plain,
! [X0,X1] :
( ~ leq(sK58,sK58)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ sP0(app(app(X1,cons(sK58,X0)),sF76)) ),
inference(subsumption_resolution,[],[f693,f558]) ).
fof(f693,plain,
! [X0,X1] :
( ~ leq(sK58,sK58)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(sK58)
| ~ sP0(app(app(X1,cons(sK58,X0)),sF76)) ),
inference(duplicate_literal_removal,[],[f692]) ).
fof(f692,plain,
! [X0,X1] :
( ~ leq(sK58,sK58)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(sK58)
| ~ sP0(app(app(X1,cons(sK58,X0)),sF76))
| ~ ssItem(sK58) ),
inference(resolution,[],[f687,f462]) ).
fof(f687,plain,
! [X2,X0,X1] :
( ~ leq(sK58,X1)
| ~ leq(X1,sK58)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP0(app(app(X0,cons(X1,X2)),sF76)) ),
inference(subsumption_resolution,[],[f686,f558]) ).
fof(f686,plain,
! [X2,X0,X1] :
( ~ sP0(app(app(X0,cons(X1,X2)),sF76))
| ~ leq(X1,sK58)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(sK58)
| ~ ssItem(X1)
| ~ leq(sK58,X1) ),
inference(subsumption_resolution,[],[f683,f445]) ).
fof(f683,plain,
! [X2,X0,X1] :
( ~ sP0(app(app(X0,cons(X1,X2)),sF76))
| ~ leq(X1,sK58)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(sK58)
| ~ ssItem(X1)
| ~ leq(sK58,X1) ),
inference(superposition,[],[f601,f616]) ).
fof(f601,plain,
! [X10,X8,X6,X9,X7] :
( ~ sP0(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ leq(X7,X6) ),
inference(equality_resolution,[],[f377]) ).
fof(f377,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0] :
( ( sP0(X0)
| ( leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0))
& app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0
& ssList(sK19(X0))
& ssList(sK18(X0))
& ssList(sK17(X0))
& ssItem(sK16(X0))
& ssItem(sK15(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18,sK19])],[f260,f265,f264,f263,f262,f261]) ).
fof(f261,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK15(X0))
& leq(sK15(X0),X2)
& app(app(X3,cons(sK15(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f262,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK15(X0))
& leq(sK15(X0),X2)
& app(app(X3,cons(sK15(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0))
& app(app(X3,cons(sK15(X0),X4)),cons(sK16(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f263,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0))
& app(app(X3,cons(sK15(X0),X4)),cons(sK16(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0))
& app(app(sK17(X0),cons(sK15(X0),X4)),cons(sK16(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK17(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f264,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0))
& app(app(sK17(X0),cons(sK15(X0),X4)),cons(sK16(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0))
& app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),X5)) = X0
& ssList(X5) )
& ssList(sK18(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f265,plain,
! [X0] :
( ? [X5] :
( leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0))
& app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),X5)) = X0
& ssList(X5) )
=> ( leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0))
& app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0
& ssList(sK19(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f260,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f646,plain,
( spl81_4
| spl81_2 ),
inference(avatar_split_clause,[],[f567,f633,f643]) ).
fof(f567,plain,
( nil = sK55
| ssItem(sK57) ),
inference(cnf_transformation,[],[f352]) ).
fof(f641,plain,
( spl81_3
| spl81_2 ),
inference(avatar_split_clause,[],[f614,f633,f638]) ).
fof(f614,plain,
( nil = sK55
| sK55 = sF75 ),
inference(definition_folding,[],[f568,f613]) ).
fof(f568,plain,
( nil = sK55
| sK55 = cons(sK57,nil) ),
inference(cnf_transformation,[],[f352]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC177+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n021.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 : Tue Apr 30 18:20:41 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.Yc5feJ4uQ7/Vampire---4.8_26705
% 0.60/0.79 % (26906)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.79 % (26908)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79 % (26907)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.79 % (26909)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.79 % (26912)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.79 % (26910)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.79 % (26911)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80 % (26913)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.80 % (26913)Refutation not found, incomplete strategy% (26913)------------------------------
% 0.60/0.80 % (26913)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (26913)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (26913)Memory used [KB]: 1138
% 0.60/0.80 % (26913)Time elapsed: 0.005 s
% 0.60/0.80 % (26913)Instructions burned: 5 (million)
% 0.60/0.80 % (26913)------------------------------
% 0.60/0.80 % (26913)------------------------------
% 0.60/0.80 % (26914)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.63/0.81 % (26910)Instruction limit reached!
% 0.63/0.81 % (26910)------------------------------
% 0.63/0.81 % (26910)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81 % (26910)Termination reason: Unknown
% 0.63/0.81 % (26910)Termination phase: Saturation
% 0.63/0.81
% 0.63/0.81 % (26910)Memory used [KB]: 2050
% 0.63/0.81 % (26910)Time elapsed: 0.020 s
% 0.63/0.81 % (26910)Instructions burned: 34 (million)
% 0.63/0.81 % (26910)------------------------------
% 0.63/0.81 % (26910)------------------------------
% 0.63/0.81 % (26909)Instruction limit reached!
% 0.63/0.81 % (26909)------------------------------
% 0.63/0.81 % (26909)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81 % (26909)Termination reason: Unknown
% 0.63/0.81 % (26909)Termination phase: Saturation
% 0.63/0.81
% 0.63/0.81 % (26909)Memory used [KB]: 1674
% 0.63/0.81 % (26909)Time elapsed: 0.021 s
% 0.63/0.81 % (26909)Instructions burned: 34 (million)
% 0.63/0.81 % (26909)------------------------------
% 0.63/0.81 % (26909)------------------------------
% 0.63/0.81 % (26906)Instruction limit reached!
% 0.63/0.81 % (26906)------------------------------
% 0.63/0.81 % (26906)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81 % (26906)Termination reason: Unknown
% 0.63/0.81 % (26906)Termination phase: Saturation
% 0.63/0.81
% 0.63/0.81 % (26906)Memory used [KB]: 1480
% 0.63/0.81 % (26906)Time elapsed: 0.022 s
% 0.63/0.81 % (26906)Instructions burned: 35 (million)
% 0.63/0.81 % (26906)------------------------------
% 0.63/0.81 % (26906)------------------------------
% 0.63/0.82 % (26916)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.63/0.82 % (26917)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.63/0.82 % (26919)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.63/0.82 % (26911)Instruction limit reached!
% 0.63/0.82 % (26911)------------------------------
% 0.63/0.82 % (26911)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (26911)Termination reason: Unknown
% 0.63/0.82 % (26911)Termination phase: Saturation
% 0.63/0.82
% 0.63/0.82 % (26911)Memory used [KB]: 1651
% 0.63/0.82 % (26911)Time elapsed: 0.028 s
% 0.63/0.82 % (26911)Instructions burned: 45 (million)
% 0.63/0.82 % (26911)------------------------------
% 0.63/0.82 % (26911)------------------------------
% 0.63/0.82 % (26921)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.63/0.83 % (26907)Instruction limit reached!
% 0.63/0.83 % (26907)------------------------------
% 0.63/0.83 % (26907)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83 % (26907)Termination reason: Unknown
% 0.63/0.83 % (26907)Termination phase: Saturation
% 0.63/0.83
% 0.63/0.83 % (26907)Memory used [KB]: 2005
% 0.63/0.83 % (26907)Time elapsed: 0.034 s
% 0.63/0.83 % (26907)Instructions burned: 52 (million)
% 0.63/0.83 % (26907)------------------------------
% 0.63/0.83 % (26907)------------------------------
% 0.63/0.83 % (26923)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.63/0.83 % (26912)Instruction limit reached!
% 0.63/0.83 % (26912)------------------------------
% 0.63/0.83 % (26912)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83 % (26912)Termination reason: Unknown
% 0.63/0.83 % (26912)Termination phase: Saturation
% 0.63/0.83
% 0.63/0.83 % (26912)Memory used [KB]: 2061
% 0.63/0.83 % (26912)Time elapsed: 0.039 s
% 0.63/0.83 % (26912)Instructions burned: 83 (million)
% 0.63/0.83 % (26912)------------------------------
% 0.63/0.83 % (26912)------------------------------
% 0.63/0.83 % (26914)Instruction limit reached!
% 0.63/0.83 % (26914)------------------------------
% 0.63/0.83 % (26914)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83 % (26914)Termination reason: Unknown
% 0.63/0.83 % (26914)Termination phase: Saturation
% 0.63/0.83
% 0.63/0.83 % (26914)Memory used [KB]: 2168
% 0.63/0.83 % (26914)Time elapsed: 0.033 s
% 0.63/0.83 % (26914)Instructions burned: 56 (million)
% 0.63/0.83 % (26914)------------------------------
% 0.63/0.83 % (26914)------------------------------
% 0.63/0.84 % (26925)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.63/0.84 % (26926)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.63/0.84 % (26916)Instruction limit reached!
% 0.63/0.84 % (26916)------------------------------
% 0.63/0.84 % (26916)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.84 % (26908)Instruction limit reached!
% 0.63/0.84 % (26908)------------------------------
% 0.63/0.84 % (26908)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.84 % (26908)Termination reason: Unknown
% 0.63/0.84 % (26908)Termination phase: Saturation
% 0.63/0.84
% 0.63/0.84 % (26908)Memory used [KB]: 1922
% 0.63/0.84 % (26908)Time elapsed: 0.049 s
% 0.63/0.84 % (26908)Instructions burned: 78 (million)
% 0.63/0.84 % (26908)------------------------------
% 0.63/0.84 % (26908)------------------------------
% 0.63/0.84 % (26916)Termination reason: Unknown
% 0.63/0.84 % (26916)Termination phase: Saturation
% 0.63/0.84
% 0.63/0.84 % (26916)Memory used [KB]: 1912
% 0.63/0.84 % (26916)Time elapsed: 0.027 s
% 0.63/0.84 % (26916)Instructions burned: 50 (million)
% 0.63/0.84 % (26916)------------------------------
% 0.63/0.84 % (26916)------------------------------
% 0.92/0.85 % (26929)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.92/0.85 % (26928)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.92/0.85 % (26919)Instruction limit reached!
% 0.92/0.85 % (26919)------------------------------
% 0.92/0.85 % (26919)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.85 % (26919)Termination reason: Unknown
% 0.92/0.85 % (26919)Termination phase: Saturation
% 0.92/0.85
% 0.92/0.85 % (26919)Memory used [KB]: 1900
% 0.92/0.85 % (26919)Time elapsed: 0.035 s
% 0.92/0.85 % (26919)Instructions burned: 53 (million)
% 0.92/0.85 % (26919)------------------------------
% 0.92/0.85 % (26919)------------------------------
% 0.92/0.85 % (26923)Instruction limit reached!
% 0.92/0.85 % (26923)------------------------------
% 0.92/0.85 % (26923)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.85 % (26923)Termination reason: Unknown
% 0.92/0.85 % (26923)Termination phase: Saturation
% 0.92/0.85
% 0.92/0.85 % (26923)Memory used [KB]: 2111
% 0.92/0.85 % (26923)Time elapsed: 0.026 s
% 0.92/0.85 % (26923)Instructions burned: 42 (million)
% 0.92/0.85 % (26923)------------------------------
% 0.92/0.85 % (26923)------------------------------
% 0.92/0.86 % (26931)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.92/0.86 % (26933)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.92/0.88 % (26933)Instruction limit reached!
% 0.92/0.88 % (26933)------------------------------
% 0.92/0.88 % (26933)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.88 % (26933)Termination reason: Unknown
% 0.92/0.88 % (26933)Termination phase: Saturation
% 0.92/0.88
% 0.92/0.88 % (26933)Memory used [KB]: 1490
% 0.92/0.88 % (26933)Time elapsed: 0.021 s
% 0.92/0.88 % (26933)Instructions burned: 33 (million)
% 0.92/0.88 % (26933)------------------------------
% 0.92/0.88 % (26933)------------------------------
% 0.92/0.88 % (26937)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 0.92/0.89 % (26931)Instruction limit reached!
% 0.92/0.89 % (26931)------------------------------
% 0.92/0.89 % (26931)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.89 % (26931)Termination reason: Unknown
% 0.92/0.89 % (26931)Termination phase: Saturation
% 0.92/0.89
% 0.92/0.89 % (26931)Memory used [KB]: 2241
% 0.92/0.89 % (26931)Time elapsed: 0.035 s
% 0.92/0.89 % (26931)Instructions burned: 62 (million)
% 0.92/0.89 % (26931)------------------------------
% 0.92/0.89 % (26931)------------------------------
% 0.92/0.89 % (26939)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 0.92/0.90 % (26929)Instruction limit reached!
% 0.92/0.90 % (26929)------------------------------
% 0.92/0.90 % (26929)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.90 % (26929)Termination reason: Unknown
% 0.92/0.90 % (26929)Termination phase: Saturation
% 0.92/0.90
% 0.92/0.90 % (26929)Memory used [KB]: 2275
% 0.92/0.90 % (26929)Time elapsed: 0.058 s
% 0.92/0.90 % (26929)Instructions burned: 93 (million)
% 0.92/0.90 % (26929)------------------------------
% 0.92/0.90 % (26929)------------------------------
% 0.92/0.90 % (26926)Instruction limit reached!
% 0.92/0.90 % (26926)------------------------------
% 0.92/0.90 % (26926)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.90 % (26926)Termination reason: Unknown
% 0.92/0.90 % (26926)Termination phase: Saturation
% 0.92/0.90
% 0.92/0.90 % (26926)Memory used [KB]: 2903
% 0.92/0.90 % (26926)Time elapsed: 0.067 s
% 0.92/0.90 % (26926)Instructions burned: 117 (million)
% 0.92/0.90 % (26926)------------------------------
% 0.92/0.90 % (26926)------------------------------
% 0.92/0.91 % (26941)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 0.92/0.91 % (26942)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 0.92/0.92 % (26939)Instruction limit reached!
% 0.92/0.92 % (26939)------------------------------
% 0.92/0.92 % (26939)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.92 % (26939)Termination reason: Unknown
% 0.92/0.92 % (26939)Termination phase: Saturation
% 0.92/0.92
% 0.92/0.92 % (26939)Memory used [KB]: 2105
% 0.92/0.92 % (26939)Time elapsed: 0.032 s
% 0.92/0.92 % (26939)Instructions burned: 56 (million)
% 0.92/0.92 % (26939)------------------------------
% 0.92/0.92 % (26939)------------------------------
% 0.92/0.93 % (26945)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 0.92/0.93 % (26928)Instruction limit reached!
% 0.92/0.93 % (26928)------------------------------
% 0.92/0.93 % (26928)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.93 % (26928)Termination reason: Unknown
% 0.92/0.93 % (26928)Termination phase: Saturation
% 0.92/0.93
% 0.92/0.93 % (26928)Memory used [KB]: 3130
% 0.92/0.93 % (26928)Time elapsed: 0.085 s
% 0.92/0.93 % (26928)Instructions burned: 143 (million)
% 0.92/0.93 % (26928)------------------------------
% 0.92/0.93 % (26928)------------------------------
% 0.92/0.93 % (26917)Instruction limit reached!
% 0.92/0.93 % (26917)------------------------------
% 0.92/0.93 % (26917)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.93 % (26917)Termination reason: Unknown
% 0.92/0.93 % (26917)Termination phase: Saturation
% 0.92/0.93
% 0.92/0.93 % (26917)Memory used [KB]: 2838
% 0.92/0.93 % (26917)Time elapsed: 0.116 s
% 0.92/0.93 % (26917)Instructions burned: 209 (million)
% 0.92/0.93 % (26917)------------------------------
% 0.92/0.93 % (26917)------------------------------
% 0.92/0.93 % (26941)Instruction limit reached!
% 0.92/0.93 % (26941)------------------------------
% 0.92/0.93 % (26941)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.93 % (26941)Termination reason: Unknown
% 0.92/0.93 % (26941)Termination phase: Saturation
% 0.92/0.93
% 0.92/0.93 % (26941)Memory used [KB]: 1760
% 0.92/0.93 % (26941)Time elapsed: 0.029 s
% 0.92/0.93 % (26941)Instructions burned: 54 (million)
% 0.92/0.93 % (26941)------------------------------
% 0.92/0.93 % (26941)------------------------------
% 0.92/0.93 % (26942)Instruction limit reached!
% 0.92/0.93 % (26942)------------------------------
% 0.92/0.93 % (26942)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.93 % (26942)Termination reason: Unknown
% 0.92/0.93 % (26942)Termination phase: Saturation
% 0.92/0.93
% 0.92/0.93 % (26942)Memory used [KB]: 2233
% 0.92/0.93 % (26942)Time elapsed: 0.049 s
% 0.92/0.93 % (26942)Instructions burned: 47 (million)
% 0.92/0.93 % (26942)------------------------------
% 0.92/0.93 % (26942)------------------------------
% 0.92/0.93 % (26946)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 1.46/0.94 % (26947)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 1.46/0.94 % (26950)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 1.46/0.94 % (26949)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 1.46/0.94 % (26950)Refutation not found, incomplete strategy% (26950)------------------------------
% 1.46/0.94 % (26950)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.46/0.94 % (26950)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.94
% 1.46/0.94 % (26950)Memory used [KB]: 1136
% 1.46/0.94 % (26950)Time elapsed: 0.026 s
% 1.46/0.94 % (26950)Instructions burned: 5 (million)
% 1.46/0.94 % (26950)------------------------------
% 1.46/0.94 % (26950)------------------------------
% 1.46/0.94 % (26952)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2994ds/69Mi)
% 1.46/0.95 % (26946)Instruction limit reached!
% 1.46/0.95 % (26946)------------------------------
% 1.46/0.95 % (26946)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.46/0.95 % (26946)Termination reason: Unknown
% 1.46/0.95 % (26946)Termination phase: Saturation
% 1.46/0.95
% 1.46/0.95 % (26946)Memory used [KB]: 1524
% 1.46/0.95 % (26946)Time elapsed: 0.042 s
% 1.46/0.95 % (26946)Instructions burned: 35 (million)
% 1.46/0.95 % (26946)------------------------------
% 1.46/0.95 % (26946)------------------------------
% 1.46/0.96 % (26955)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2994ds/40Mi)
% 1.46/0.96 % (26925)Instruction limit reached!
% 1.46/0.96 % (26925)------------------------------
% 1.46/0.96 % (26925)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.46/0.96 % (26925)Termination reason: Unknown
% 1.46/0.96 % (26925)Termination phase: Saturation
% 1.46/0.96
% 1.46/0.96 % (26925)Memory used [KB]: 2539
% 1.46/0.96 % (26925)Time elapsed: 0.125 s
% 1.46/0.96 % (26925)Instructions burned: 244 (million)
% 1.46/0.96 % (26925)------------------------------
% 1.46/0.96 % (26925)------------------------------
% 1.46/0.96 % (26956)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2994ds/360Mi)
% 1.46/0.98 % (26952)Instruction limit reached!
% 1.46/0.98 % (26952)------------------------------
% 1.46/0.98 % (26952)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.46/0.98 % (26952)Termination reason: Unknown
% 1.46/0.98 % (26952)Termination phase: Saturation
% 1.46/0.98
% 1.46/0.98 % (26952)Memory used [KB]: 2260
% 1.46/0.98 % (26952)Time elapsed: 0.039 s
% 1.46/0.98 % (26952)Instructions burned: 69 (million)
% 1.46/0.98 % (26952)------------------------------
% 1.46/0.98 % (26952)------------------------------
% 1.46/0.98 % (26955)Instruction limit reached!
% 1.46/0.98 % (26955)------------------------------
% 1.46/0.98 % (26955)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.46/0.98 % (26955)Termination reason: Unknown
% 1.46/0.98 % (26955)Termination phase: Saturation
% 1.46/0.98
% 1.46/0.98 % (26955)Memory used [KB]: 1523
% 1.46/0.98 % (26955)Time elapsed: 0.027 s
% 1.46/0.98 % (26955)Instructions burned: 41 (million)
% 1.46/0.98 % (26955)------------------------------
% 1.46/0.98 % (26955)------------------------------
% 1.46/0.98 % (26947)Instruction limit reached!
% 1.46/0.98 % (26947)------------------------------
% 1.46/0.98 % (26947)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.46/0.98 % (26947)Termination reason: Unknown
% 1.46/0.98 % (26947)Termination phase: Saturation
% 1.46/0.98
% 1.46/0.98 % (26947)Memory used [KB]: 2650
% 1.46/0.98 % (26947)Time elapsed: 0.069 s
% 1.46/0.98 % (26947)Instructions burned: 87 (million)
% 1.46/0.98 % (26947)------------------------------
% 1.46/0.98 % (26947)------------------------------
% 1.46/0.98 % (26959)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2993ds/161Mi)
% 1.46/0.98 % (26960)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2993ds/80Mi)
% 1.46/0.98 % (26961)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2993ds/37Mi)
% 1.73/0.99 % (26945)Instruction limit reached!
% 1.73/0.99 % (26945)------------------------------
% 1.73/0.99 % (26945)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.73/0.99 % (26945)Termination reason: Unknown
% 1.73/0.99 % (26945)Termination phase: Saturation
% 1.73/0.99
% 1.73/0.99 % (26945)Memory used [KB]: 2863
% 1.73/0.99 % (26945)Time elapsed: 0.085 s
% 1.73/0.99 % (26945)Instructions burned: 102 (million)
% 1.73/0.99 % (26945)------------------------------
% 1.73/0.99 % (26945)------------------------------
% 1.73/0.99 % (26964)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2993ds/55Mi)
% 1.73/1.00 % (26949)Instruction limit reached!
% 1.73/1.00 % (26949)------------------------------
% 1.73/1.00 % (26949)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.73/1.00 % (26949)Termination reason: Unknown
% 1.73/1.00 % (26949)Termination phase: Saturation
% 1.73/1.00
% 1.73/1.00 % (26949)Memory used [KB]: 2663
% 1.73/1.00 % (26949)Time elapsed: 0.088 s
% 1.73/1.00 % (26949)Instructions burned: 109 (million)
% 1.73/1.00 % (26949)------------------------------
% 1.73/1.00 % (26949)------------------------------
% 1.73/1.00 % (26965)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2993ds/47Mi)
% 1.73/1.01 % (26961)Instruction limit reached!
% 1.73/1.01 % (26961)------------------------------
% 1.73/1.01 % (26961)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.73/1.01 % (26961)Termination reason: Unknown
% 1.73/1.01 % (26961)Termination phase: Saturation
% 1.73/1.01
% 1.73/1.01 % (26961)Memory used [KB]: 1942
% 1.73/1.01 % (26961)Time elapsed: 0.025 s
% 1.73/1.01 % (26961)Instructions burned: 37 (million)
% 1.73/1.01 % (26961)------------------------------
% 1.73/1.01 % (26961)------------------------------
% 1.73/1.01 % (26966)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2993ds/32Mi)
% 1.73/1.02 % (26964)Instruction limit reached!
% 1.73/1.02 % (26964)------------------------------
% 1.73/1.02 % (26964)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.73/1.02 % (26964)Termination reason: Unknown
% 1.73/1.02 % (26964)Termination phase: Saturation
% 1.73/1.02
% 1.73/1.02 % (26964)Memory used [KB]: 1695
% 1.73/1.02 % (26964)Time elapsed: 0.034 s
% 1.73/1.02 % (26964)Instructions burned: 56 (million)
% 1.73/1.02 % (26964)------------------------------
% 1.73/1.02 % (26964)------------------------------
% 1.73/1.03 % (26970)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2993ds/132Mi)
% 1.73/1.03 % (26966)Instruction limit reached!
% 1.73/1.03 % (26966)------------------------------
% 1.73/1.03 % (26966)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.73/1.03 % (26966)Termination reason: Unknown
% 1.73/1.03 % (26966)Termination phase: Saturation
% 1.73/1.03
% 1.73/1.03 % (26966)Memory used [KB]: 1500
% 1.73/1.03 % (26966)Time elapsed: 0.019 s
% 1.73/1.03 % (26966)Instructions burned: 32 (million)
% 1.73/1.03 % (26966)------------------------------
% 1.73/1.03 % (26966)------------------------------
% 1.73/1.03 % (26960)Instruction limit reached!
% 1.73/1.03 % (26960)------------------------------
% 1.73/1.03 % (26960)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.73/1.03 % (26960)Termination reason: Unknown
% 1.73/1.03 % (26960)Termination phase: Saturation
% 1.73/1.03
% 1.73/1.03 % (26960)Memory used [KB]: 1683
% 1.73/1.03 % (26960)Time elapsed: 0.048 s
% 1.73/1.03 % (26960)Instructions burned: 80 (million)
% 1.73/1.03 % (26960)------------------------------
% 1.73/1.03 % (26960)------------------------------
% 1.73/1.03 % (26971)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2993ds/54Mi)
% 1.73/1.03 % (26965)Instruction limit reached!
% 1.73/1.03 % (26965)------------------------------
% 1.73/1.03 % (26965)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.73/1.03 % (26965)Termination reason: Unknown
% 1.73/1.03 % (26965)Termination phase: Saturation
% 1.73/1.03
% 1.73/1.03 % (26965)Memory used [KB]: 2012
% 1.73/1.03 % (26965)Time elapsed: 0.032 s
% 1.73/1.03 % (26965)Instructions burned: 48 (million)
% 1.73/1.03 % (26965)------------------------------
% 1.73/1.03 % (26965)------------------------------
% 1.73/1.03 % (26973)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2993ds/82Mi)
% 1.73/1.04 % (26974)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2993ds/119Mi)
% 2.04/1.06 % (26956)First to succeed.
% 2.04/1.06 % (26959)Instruction limit reached!
% 2.04/1.06 % (26959)------------------------------
% 2.04/1.06 % (26959)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.04/1.06 % (26959)Termination reason: Unknown
% 2.04/1.06 % (26959)Termination phase: Saturation
% 2.04/1.06
% 2.04/1.06 % (26959)Memory used [KB]: 2336
% 2.04/1.06 % (26959)Time elapsed: 0.081 s
% 2.04/1.06 % (26959)Instructions burned: 162 (million)
% 2.04/1.06 % (26959)------------------------------
% 2.04/1.06 % (26959)------------------------------
% 2.04/1.06 % (26971)Instruction limit reached!
% 2.04/1.06 % (26971)------------------------------
% 2.04/1.06 % (26971)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.04/1.06 % (26971)Termination reason: Unknown
% 2.04/1.06 % (26971)Termination phase: Saturation
% 2.04/1.06
% 2.04/1.06 % (26971)Memory used [KB]: 2131
% 2.04/1.06 % (26971)Time elapsed: 0.033 s
% 2.04/1.06 % (26971)Instructions burned: 54 (million)
% 2.04/1.06 % (26971)------------------------------
% 2.04/1.06 % (26971)------------------------------
% 2.04/1.07 % (26977)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2993ds/177Mi)
% 2.04/1.07 % (26978)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2993ds/117Mi)
% 2.04/1.07 % (26956)Refutation found. Thanks to Tanya!
% 2.04/1.07 % SZS status Theorem for Vampire---4
% 2.04/1.07 % SZS output start Proof for Vampire---4
% See solution above
% 2.04/1.07 % (26956)------------------------------
% 2.04/1.07 % (26956)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.04/1.07 % (26956)Termination reason: Refutation
% 2.04/1.07
% 2.04/1.07 % (26956)Memory used [KB]: 2959
% 2.04/1.07 % (26956)Time elapsed: 0.107 s
% 2.04/1.07 % (26956)Instructions burned: 193 (million)
% 2.04/1.07 % (26956)------------------------------
% 2.04/1.07 % (26956)------------------------------
% 2.04/1.07 % (26874)Success in time 0.702 s
% 2.04/1.07 % Vampire---4.8 exiting
%------------------------------------------------------------------------------