TSTP Solution File: SWC177+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC177+1 : TPTP v8.2.0. 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:36:50 EDT 2024
% Result : Theorem 1.38s 0.80s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 65
% Syntax : Number of formulae : 308 ( 34 unt; 0 def)
% Number of atoms : 1267 ( 321 equ)
% Maximal formula atoms : 34 ( 4 avg)
% Number of connectives : 1541 ( 582 ~; 610 |; 248 &)
% ( 33 <=>; 68 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 25 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 16 con; 0-2 aty)
% Number of variables : 330 ( 208 !; 122 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4706,plain,
$false,
inference(avatar_sat_refutation,[],[f641,f646,f951,f954,f991,f994,f1000,f1035,f1421,f1454,f1488,f1532,f1610,f1657,f2841,f2890,f2931,f3961,f3962,f3965,f4076,f4140,f4141,f4216,f4334,f4554]) ).
fof(f4554,plain,
( ~ spl81_3
| ~ spl81_9
| ~ spl81_13
| ~ spl81_27
| spl81_113
| ~ spl81_116
| ~ spl81_263 ),
inference(avatar_contradiction_clause,[],[f4553]) ).
fof(f4553,plain,
( $false
| ~ spl81_3
| ~ spl81_9
| ~ spl81_13
| ~ spl81_27
| spl81_113
| ~ spl81_116
| ~ spl81_263 ),
inference(subsumption_resolution,[],[f4533,f2541]) ).
fof(f2541,plain,
( ~ frontsegP(sF79,sK55)
| spl81_113 ),
inference(avatar_component_clause,[],[f2539]) ).
fof(f2539,plain,
( spl81_113
<=> frontsegP(sF79,sK55) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_113])]) ).
fof(f4533,plain,
( frontsegP(sF79,sK55)
| ~ spl81_3
| ~ spl81_9
| ~ spl81_13
| ~ spl81_27
| ~ spl81_116
| ~ spl81_263 ),
inference(backward_demodulation,[],[f4360,f4492]) ).
fof(f4492,plain,
( sK55 = sF76
| ~ spl81_3
| ~ spl81_116
| ~ spl81_263 ),
inference(forward_demodulation,[],[f4397,f1623]) ).
fof(f1623,plain,
( sK55 = cons(sK57,nil)
| ~ spl81_3 ),
inference(backward_demodulation,[],[f613,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(f613,plain,
cons(sK57,nil) = sF75,
introduced(function_definition,[new_symbols(definition,[sF75])]) ).
fof(f4397,plain,
( cons(sK57,nil) = sF76
| ~ spl81_116
| ~ spl81_263 ),
inference(backward_demodulation,[],[f616,f4395]) ).
fof(f4395,plain,
( sK57 = sK58
| ~ spl81_116
| ~ spl81_263 ),
inference(forward_demodulation,[],[f4372,f1207]) ).
fof(f1207,plain,
sK58 = hd(sF76),
inference(subsumption_resolution,[],[f1206,f445]) ).
fof(f445,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f1206,plain,
( sK58 = hd(sF76)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1204,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/benchmark/theBenchmark.p',co1) ).
fof(f1204,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/benchmark/theBenchmark.p',ax23) ).
fof(f4372,plain,
( sK57 = hd(sF76)
| ~ spl81_116
| ~ spl81_263 ),
inference(backward_demodulation,[],[f4111,f2571]) ).
fof(f2571,plain,
( sF76 = sF77
| ~ spl81_116 ),
inference(avatar_component_clause,[],[f2569]) ).
fof(f2569,plain,
( spl81_116
<=> sF76 = sF77 ),
introduced(avatar_definition,[new_symbols(naming,[spl81_116])]) ).
fof(f4111,plain,
( sK57 = hd(sF77)
| ~ spl81_263 ),
inference(avatar_component_clause,[],[f4109]) ).
fof(f4109,plain,
( spl81_263
<=> sK57 = hd(sF77) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_263])]) ).
fof(f616,plain,
cons(sK58,nil) = sF76,
introduced(function_definition,[new_symbols(definition,[sF76])]) ).
fof(f4360,plain,
( frontsegP(sF79,sF76)
| ~ spl81_9
| ~ spl81_13
| ~ spl81_27
| ~ spl81_116 ),
inference(backward_demodulation,[],[f2460,f2571]) ).
fof(f2460,plain,
( frontsegP(sF79,sF77)
| ~ spl81_9
| ~ spl81_13
| ~ spl81_27 ),
inference(subsumption_resolution,[],[f2459,f990]) ).
fof(f990,plain,
( ssList(sF79)
| ~ spl81_27 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f988,plain,
( spl81_27
<=> ssList(sF79) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_27])]) ).
fof(f2459,plain,
( frontsegP(sF79,sF77)
| ~ ssList(sF79)
| ~ spl81_9
| ~ spl81_13 ),
inference(subsumption_resolution,[],[f2458,f734]) ).
fof(f734,plain,
( ssList(sF77)
| ~ spl81_9 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f733,plain,
( spl81_9
<=> ssList(sF77) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_9])]) ).
fof(f2458,plain,
( frontsegP(sF79,sF77)
| ~ ssList(sF77)
| ~ ssList(sF79)
| ~ spl81_13 ),
inference(subsumption_resolution,[],[f2443,f862]) ).
fof(f862,plain,
( ssList(sF76)
| ~ spl81_13 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f861,plain,
( spl81_13
<=> ssList(sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_13])]) ).
fof(f2443,plain,
( frontsegP(sF79,sF77)
| ~ ssList(sF76)
| ~ ssList(sF77)
| ~ ssList(sF79) ),
inference(superposition,[],[f598,f1122]) ).
fof(f1122,plain,
sF79 = app(sF77,sF76),
inference(backward_demodulation,[],[f619,f1121]) ).
fof(f1121,plain,
sF76 = sF78,
inference(forward_demodulation,[],[f1105,f616]) ).
fof(f1105,plain,
cons(sK58,nil) = sF78,
inference(backward_demodulation,[],[f618,f1102]) ).
fof(f1102,plain,
sK58 = sK59,
inference(subsumption_resolution,[],[f1101,f558]) ).
fof(f1101,plain,
( sK58 = sK59
| ~ ssItem(sK58) ),
inference(subsumption_resolution,[],[f1096,f559]) ).
fof(f559,plain,
ssItem(sK59),
inference(cnf_transformation,[],[f352]) ).
fof(f1096,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/benchmark/theBenchmark.p',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(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/benchmark/theBenchmark.p',ax5) ).
fof(f4334,plain,
( spl81_116
| ~ spl81_13
| ~ spl81_48 ),
inference(avatar_split_clause,[],[f4333,f1414,f861,f2569]) ).
fof(f1414,plain,
( spl81_48
<=> nil = sK60 ),
introduced(avatar_definition,[new_symbols(naming,[spl81_48])]) ).
fof(f4333,plain,
( sF76 = sF77
| ~ spl81_13
| ~ spl81_48 ),
inference(subsumption_resolution,[],[f4314,f862]) ).
fof(f4314,plain,
( sF76 = sF77
| ~ ssList(sF76)
| ~ spl81_48 ),
inference(superposition,[],[f459,f4147]) ).
fof(f4147,plain,
( sF77 = app(nil,sF76)
| ~ spl81_48 ),
inference(backward_demodulation,[],[f617,f1416]) ).
fof(f1416,plain,
( nil = sK60
| ~ spl81_48 ),
inference(avatar_component_clause,[],[f1414]) ).
fof(f617,plain,
app(sK60,sF76) = sF77,
introduced(function_definition,[new_symbols(definition,[sF77])]) ).
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/benchmark/theBenchmark.p',ax28) ).
fof(f4216,plain,
( spl81_263
| ~ spl81_264
| ~ spl81_265 ),
inference(avatar_split_clause,[],[f4215,f4120,f4115,f4109]) ).
fof(f4115,plain,
( spl81_264
<=> sK57 = hd(sF79) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_264])]) ).
fof(f4120,plain,
( spl81_265
<=> hd(sF77) = hd(sF79) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_265])]) ).
fof(f4215,plain,
( sK57 = hd(sF77)
| ~ spl81_264
| ~ spl81_265 ),
inference(forward_demodulation,[],[f4117,f4122]) ).
fof(f4122,plain,
( hd(sF77) = hd(sF79)
| ~ spl81_265 ),
inference(avatar_component_clause,[],[f4120]) ).
fof(f4117,plain,
( sK57 = hd(sF79)
| ~ spl81_264 ),
inference(avatar_component_clause,[],[f4115]) ).
fof(f4141,plain,
( spl81_265
| ~ spl81_9
| ~ spl81_13
| spl81_50 ),
inference(avatar_split_clause,[],[f2831,f1425,f861,f733,f4120]) ).
fof(f1425,plain,
( spl81_50
<=> nil = sF77 ),
introduced(avatar_definition,[new_symbols(naming,[spl81_50])]) ).
fof(f2831,plain,
( hd(sF77) = hd(sF79)
| ~ spl81_9
| ~ spl81_13
| spl81_50 ),
inference(subsumption_resolution,[],[f2830,f734]) ).
fof(f2830,plain,
( hd(sF77) = hd(sF79)
| ~ ssList(sF77)
| ~ spl81_13
| spl81_50 ),
inference(subsumption_resolution,[],[f2829,f862]) ).
fof(f2829,plain,
( hd(sF77) = hd(sF79)
| ~ ssList(sF76)
| ~ ssList(sF77)
| spl81_50 ),
inference(subsumption_resolution,[],[f2813,f1426]) ).
fof(f1426,plain,
( nil != sF77
| spl81_50 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f2813,plain,
( hd(sF77) = hd(sF79)
| nil = sF77
| ~ ssList(sF76)
| ~ ssList(sF77) ),
inference(superposition,[],[f539,f1122]) ).
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/benchmark/theBenchmark.p',ax85) ).
fof(f4140,plain,
( spl81_75
| spl81_264
| ~ spl81_3
| ~ spl81_27
| ~ spl81_57 ),
inference(avatar_split_clause,[],[f4139,f1485,f988,f638,f4115,f1677]) ).
fof(f1677,plain,
( spl81_75
<=> nil = sF79 ),
introduced(avatar_definition,[new_symbols(naming,[spl81_75])]) ).
fof(f1485,plain,
( spl81_57
<=> sK57 = hd(sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_57])]) ).
fof(f4139,plain,
( sK57 = hd(sF79)
| nil = sF79
| ~ spl81_3
| ~ spl81_27
| ~ spl81_57 ),
inference(forward_demodulation,[],[f2834,f1649]) ).
fof(f1649,plain,
( sK57 = hd(sK55)
| ~ spl81_3
| ~ spl81_57 ),
inference(forward_demodulation,[],[f1487,f640]) ).
fof(f1487,plain,
( sK57 = hd(sF75)
| ~ spl81_57 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f2834,plain,
( hd(sK55) = hd(sF79)
| nil = sF79
| ~ spl81_27 ),
inference(subsumption_resolution,[],[f2833,f990]) ).
fof(f2833,plain,
( hd(sK55) = hd(sF79)
| nil = sF79
| ~ ssList(sF79) ),
inference(subsumption_resolution,[],[f2814,f561]) ).
fof(f561,plain,
ssList(sK61),
inference(cnf_transformation,[],[f352]) ).
fof(f2814,plain,
( hd(sK55) = hd(sF79)
| nil = sF79
| ~ ssList(sK61)
| ~ ssList(sF79) ),
inference(superposition,[],[f539,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(f4076,plain,
( ~ spl81_3
| spl81_8
| ~ spl81_65
| ~ spl81_114 ),
inference(avatar_contradiction_clause,[],[f4075]) ).
fof(f4075,plain,
( $false
| ~ spl81_3
| spl81_8
| ~ spl81_65
| ~ spl81_114 ),
inference(subsumption_resolution,[],[f4015,f1637]) ).
fof(f1637,plain,
( duplicatefreeP(sK55)
| ~ spl81_3
| ~ spl81_65 ),
inference(forward_demodulation,[],[f1531,f640]) ).
fof(f1531,plain,
( duplicatefreeP(sF75)
| ~ spl81_65 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f1529,plain,
( spl81_65
<=> duplicatefreeP(sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_65])]) ).
fof(f4015,plain,
( ~ duplicatefreeP(sK55)
| spl81_8
| ~ spl81_114 ),
inference(backward_demodulation,[],[f1148,f2545]) ).
fof(f2545,plain,
( sK55 = sF79
| ~ spl81_114 ),
inference(avatar_component_clause,[],[f2543]) ).
fof(f2543,plain,
( spl81_114
<=> sK55 = sF79 ),
introduced(avatar_definition,[new_symbols(naming,[spl81_114])]) ).
fof(f1148,plain,
( ~ duplicatefreeP(sF79)
| spl81_8 ),
inference(backward_demodulation,[],[f722,f1122]) ).
fof(f722,plain,
( ~ duplicatefreeP(app(sF77,sF76))
| spl81_8 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f720,plain,
( spl81_8
<=> duplicatefreeP(app(sF77,sF76)) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_8])]) ).
fof(f3965,plain,
( ~ spl81_113
| spl81_114
| ~ spl81_27 ),
inference(avatar_split_clause,[],[f3964,f988,f2543,f2539]) ).
fof(f3964,plain,
( sK55 = sF79
| ~ frontsegP(sF79,sK55)
| ~ spl81_27 ),
inference(subsumption_resolution,[],[f3963,f990]) ).
fof(f3963,plain,
( sK55 = sF79
| ~ frontsegP(sF79,sK55)
| ~ ssList(sF79)
| ~ spl81_27 ),
inference(subsumption_resolution,[],[f2946,f554]) ).
fof(f554,plain,
ssList(sK55),
inference(cnf_transformation,[],[f352]) ).
fof(f2946,plain,
( sK55 = sF79
| ~ frontsegP(sF79,sK55)
| ~ ssList(sK55)
| ~ ssList(sF79)
| ~ spl81_27 ),
inference(resolution,[],[f2463,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/benchmark/theBenchmark.p',ax41) ).
fof(f2463,plain,
( frontsegP(sK55,sF79)
| ~ spl81_27 ),
inference(subsumption_resolution,[],[f2462,f554]) ).
fof(f2462,plain,
( frontsegP(sK55,sF79)
| ~ ssList(sK55)
| ~ spl81_27 ),
inference(subsumption_resolution,[],[f2461,f990]) ).
fof(f2461,plain,
( frontsegP(sK55,sF79)
| ~ ssList(sF79)
| ~ ssList(sK55) ),
inference(subsumption_resolution,[],[f2444,f561]) ).
fof(f2444,plain,
( frontsegP(sK55,sF79)
| ~ ssList(sK61)
| ~ ssList(sF79)
| ~ ssList(sK55) ),
inference(superposition,[],[f598,f655]) ).
fof(f3962,plain,
( ~ spl81_171
| spl81_113
| ~ spl81_3
| ~ spl81_4
| ~ spl81_131 ),
inference(avatar_split_clause,[],[f3246,f2887,f643,f638,f2539,f3268]) ).
fof(f3268,plain,
( spl81_171
<=> ssList(tl(sF79)) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_171])]) ).
fof(f643,plain,
( spl81_4
<=> ssItem(sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_4])]) ).
fof(f2887,plain,
( spl81_131
<=> sF79 = cons(sK57,tl(sF79)) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_131])]) ).
fof(f3246,plain,
( frontsegP(sF79,sK55)
| ~ ssList(tl(sF79))
| ~ spl81_3
| ~ spl81_4
| ~ spl81_131 ),
inference(superposition,[],[f2452,f2889]) ).
fof(f2889,plain,
( sF79 = cons(sK57,tl(sF79))
| ~ spl81_131 ),
inference(avatar_component_clause,[],[f2887]) ).
fof(f2452,plain,
( ! [X0] :
( frontsegP(cons(sK57,X0),sK55)
| ~ ssList(X0) )
| ~ spl81_3
| ~ spl81_4 ),
inference(subsumption_resolution,[],[f2451,f2167]) ).
fof(f2167,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0) )
| ~ spl81_3
| ~ spl81_4 ),
inference(subsumption_resolution,[],[f2156,f554]) ).
fof(f2156,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK55) )
| ~ spl81_3
| ~ spl81_4 ),
inference(duplicate_literal_removal,[],[f2131]) ).
fof(f2131,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(X0) )
| ~ spl81_3
| ~ spl81_4 ),
inference(superposition,[],[f457,f2119]) ).
fof(f2119,plain,
( ! [X0] :
( cons(sK57,X0) = app(sK55,X0)
| ~ ssList(X0) )
| ~ spl81_3
| ~ spl81_4 ),
inference(forward_demodulation,[],[f2117,f1623]) ).
fof(f2117,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/benchmark/theBenchmark.p',ax81) ).
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/benchmark/theBenchmark.p',ax26) ).
fof(f2451,plain,
( ! [X0] :
( frontsegP(cons(sK57,X0),sK55)
| ~ ssList(X0)
| ~ ssList(cons(sK57,X0)) )
| ~ spl81_3
| ~ spl81_4 ),
inference(subsumption_resolution,[],[f2446,f554]) ).
fof(f2446,plain,
( ! [X0] :
( frontsegP(cons(sK57,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(cons(sK57,X0)) )
| ~ spl81_3
| ~ spl81_4 ),
inference(duplicate_literal_removal,[],[f2440]) ).
fof(f2440,plain,
( ! [X0] :
( frontsegP(cons(sK57,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(cons(sK57,X0))
| ~ ssList(X0) )
| ~ spl81_3
| ~ spl81_4 ),
inference(superposition,[],[f598,f2119]) ).
fof(f3961,plain,
( ~ spl81_27
| spl81_75
| spl81_171 ),
inference(avatar_contradiction_clause,[],[f3960]) ).
fof(f3960,plain,
( $false
| ~ spl81_27
| spl81_75
| spl81_171 ),
inference(subsumption_resolution,[],[f3959,f990]) ).
fof(f3959,plain,
( ~ ssList(sF79)
| spl81_75
| spl81_171 ),
inference(subsumption_resolution,[],[f3958,f1678]) ).
fof(f1678,plain,
( nil != sF79
| spl81_75 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f3958,plain,
( nil = sF79
| ~ ssList(sF79)
| spl81_171 ),
inference(resolution,[],[f3270,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/benchmark/theBenchmark.p',ax24) ).
fof(f3270,plain,
( ~ ssList(tl(sF79))
| spl81_171 ),
inference(avatar_component_clause,[],[f3268]) ).
fof(f2931,plain,
( ~ spl81_9
| ~ spl81_13
| ~ spl81_75 ),
inference(avatar_contradiction_clause,[],[f2930]) ).
fof(f2930,plain,
( $false
| ~ spl81_9
| ~ spl81_13
| ~ spl81_75 ),
inference(subsumption_resolution,[],[f2907,f593]) ).
fof(f593,plain,
~ sP74(nil),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP74])]) ).
fof(f2907,plain,
( sP74(nil)
| ~ spl81_9
| ~ spl81_13
| ~ spl81_75 ),
inference(backward_demodulation,[],[f1875,f1679]) ).
fof(f1679,plain,
( nil = sF79
| ~ spl81_75 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f1875,plain,
( sP74(sF79)
| ~ spl81_9
| ~ spl81_13 ),
inference(subsumption_resolution,[],[f1874,f734]) ).
fof(f1874,plain,
( sP74(sF79)
| ~ ssList(sF77)
| ~ spl81_13 ),
inference(subsumption_resolution,[],[f1873,f862]) ).
fof(f1873,plain,
( sP74(sF79)
| ~ ssList(sF76)
| ~ ssList(sF77) ),
inference(subsumption_resolution,[],[f1866,f673]) ).
fof(f673,plain,
nil != sF76,
inference(subsumption_resolution,[],[f672,f445]) ).
fof(f672,plain,
( nil != sF76
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f671,f558]) ).
fof(f671,plain,
( nil != sF76
| ~ ssItem(sK58)
| ~ ssList(nil) ),
inference(superposition,[],[f446,f616]) ).
fof(f446,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f1866,plain,
( sP74(sF79)
| nil = sF76
| ~ ssList(sF76)
| ~ ssList(sF77) ),
inference(superposition,[],[f594,f1122]) ).
fof(f594,plain,
! [X0,X1] :
( sP74(app(X0,X1))
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(inequality_splitting,[],[f535,f593]) ).
fof(f535,plain,
! [X0,X1] :
( nil = X1
| 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/benchmark/theBenchmark.p',ax83) ).
fof(f2890,plain,
( spl81_75
| spl81_131
| ~ spl81_9
| ~ spl81_13
| ~ spl81_27
| spl81_48
| spl81_50
| ~ spl81_129 ),
inference(avatar_split_clause,[],[f2885,f2838,f1425,f1414,f988,f861,f733,f2887,f1677]) ).
fof(f2838,plain,
( spl81_129
<=> sK57 = hd(sK60) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_129])]) ).
fof(f2885,plain,
( sF79 = cons(sK57,tl(sF79))
| nil = sF79
| ~ spl81_9
| ~ spl81_13
| ~ spl81_27
| spl81_48
| spl81_50
| ~ spl81_129 ),
inference(subsumption_resolution,[],[f2877,f990]) ).
fof(f2877,plain,
( sF79 = cons(sK57,tl(sF79))
| nil = sF79
| ~ ssList(sF79)
| ~ spl81_9
| ~ spl81_13
| spl81_48
| spl81_50
| ~ spl81_129 ),
inference(superposition,[],[f530,f2843]) ).
fof(f2843,plain,
( sK57 = hd(sF79)
| ~ spl81_9
| ~ spl81_13
| spl81_48
| spl81_50
| ~ spl81_129 ),
inference(backward_demodulation,[],[f2832,f2840]) ).
fof(f2840,plain,
( sK57 = hd(sK60)
| ~ spl81_129 ),
inference(avatar_component_clause,[],[f2838]) ).
fof(f2832,plain,
( hd(sK60) = hd(sF79)
| ~ spl81_9
| ~ spl81_13
| spl81_48
| spl81_50 ),
inference(forward_demodulation,[],[f2831,f2825]) ).
fof(f2825,plain,
( hd(sK60) = hd(sF77)
| ~ spl81_13
| spl81_48 ),
inference(subsumption_resolution,[],[f2824,f560]) ).
fof(f560,plain,
ssList(sK60),
inference(cnf_transformation,[],[f352]) ).
fof(f2824,plain,
( hd(sK60) = hd(sF77)
| ~ ssList(sK60)
| ~ spl81_13
| spl81_48 ),
inference(subsumption_resolution,[],[f2823,f862]) ).
fof(f2823,plain,
( hd(sK60) = hd(sF77)
| ~ ssList(sF76)
| ~ ssList(sK60)
| spl81_48 ),
inference(subsumption_resolution,[],[f2811,f1415]) ).
fof(f1415,plain,
( nil != sK60
| spl81_48 ),
inference(avatar_component_clause,[],[f1414]) ).
fof(f2811,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/benchmark/theBenchmark.p',ax78) ).
fof(f2841,plain,
( spl81_75
| spl81_129
| ~ spl81_3
| ~ spl81_9
| ~ spl81_13
| ~ spl81_27
| spl81_48
| spl81_50
| ~ spl81_57 ),
inference(avatar_split_clause,[],[f2836,f1485,f1425,f1414,f988,f861,f733,f638,f2838,f1677]) ).
fof(f2836,plain,
( sK57 = hd(sK60)
| nil = sF79
| ~ spl81_3
| ~ spl81_9
| ~ spl81_13
| ~ spl81_27
| spl81_48
| spl81_50
| ~ spl81_57 ),
inference(forward_demodulation,[],[f2835,f1649]) ).
fof(f2835,plain,
( hd(sK55) = hd(sK60)
| nil = sF79
| ~ spl81_9
| ~ spl81_13
| ~ spl81_27
| spl81_48
| spl81_50 ),
inference(forward_demodulation,[],[f2834,f2832]) ).
fof(f1657,plain,
( ~ spl81_49
| ~ spl81_50 ),
inference(avatar_contradiction_clause,[],[f1656]) ).
fof(f1656,plain,
( $false
| ~ spl81_49
| ~ spl81_50 ),
inference(subsumption_resolution,[],[f1655,f591]) ).
fof(f591,plain,
~ sP73(nil),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP73])]) ).
fof(f1655,plain,
( sP73(nil)
| ~ spl81_49
| ~ spl81_50 ),
inference(forward_demodulation,[],[f1420,f1427]) ).
fof(f1427,plain,
( nil = sF77
| ~ spl81_50 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f1420,plain,
( sP73(sF77)
| ~ spl81_49 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f1418,plain,
( spl81_49
<=> sP73(sF77) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_49])]) ).
fof(f1610,plain,
( spl81_8
| ~ spl81_48
| ~ spl81_50 ),
inference(avatar_contradiction_clause,[],[f1609]) ).
fof(f1609,plain,
( $false
| spl81_8
| ~ spl81_48
| ~ spl81_50 ),
inference(subsumption_resolution,[],[f1601,f522]) ).
fof(f522,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).
fof(f1601,plain,
( ~ duplicatefreeP(nil)
| spl81_8
| ~ spl81_48
| ~ spl81_50 ),
inference(backward_demodulation,[],[f1148,f1591]) ).
fof(f1591,plain,
( nil = sF79
| ~ spl81_48
| ~ spl81_50 ),
inference(forward_demodulation,[],[f1589,f1585]) ).
fof(f1585,plain,
( sF79 = app(nil,sF76)
| ~ spl81_50 ),
inference(backward_demodulation,[],[f1122,f1427]) ).
fof(f1589,plain,
( nil = app(nil,sF76)
| ~ spl81_48
| ~ spl81_50 ),
inference(backward_demodulation,[],[f1578,f1416]) ).
fof(f1578,plain,
( nil = app(sK60,sF76)
| ~ spl81_50 ),
inference(backward_demodulation,[],[f617,f1427]) ).
fof(f1532,plain,
( ~ spl81_4
| spl81_65 ),
inference(avatar_split_clause,[],[f764,f1529,f643]) ).
fof(f764,plain,
( duplicatefreeP(sF75)
| ~ ssItem(sK57) ),
inference(superposition,[],[f521,f613]) ).
fof(f521,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( ssItem(X0)
=> duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).
fof(f1488,plain,
( ~ spl81_4
| spl81_57 ),
inference(avatar_split_clause,[],[f1483,f1485,f643]) ).
fof(f1483,plain,
( sK57 = hd(sF75)
| ~ ssItem(sK57) ),
inference(subsumption_resolution,[],[f1203,f445]) ).
fof(f1203,plain,
( sK57 = hd(sF75)
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f454,f613]) ).
fof(f1454,plain,
( ~ spl81_2
| spl81_8
| ~ spl81_27 ),
inference(avatar_contradiction_clause,[],[f1453]) ).
fof(f1453,plain,
( $false
| ~ spl81_2
| spl81_8
| ~ spl81_27 ),
inference(subsumption_resolution,[],[f1446,f522]) ).
fof(f1446,plain,
( ~ duplicatefreeP(nil)
| ~ spl81_2
| spl81_8
| ~ spl81_27 ),
inference(backward_demodulation,[],[f1148,f1435]) ).
fof(f1435,plain,
( nil = sF79
| ~ spl81_2
| ~ spl81_27 ),
inference(subsumption_resolution,[],[f1434,f990]) ).
fof(f1434,plain,
( nil = sF79
| ~ ssList(sF79)
| ~ spl81_2 ),
inference(subsumption_resolution,[],[f1433,f561]) ).
fof(f1433,plain,
( nil = sF79
| ~ ssList(sK61)
| ~ ssList(sF79)
| ~ spl81_2 ),
inference(subsumption_resolution,[],[f1408,f591]) ).
fof(f1408,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(f1421,plain,
( spl81_48
| spl81_49
| ~ spl81_13 ),
inference(avatar_split_clause,[],[f1412,f861,f1418,f1414]) ).
fof(f1412,plain,
( sP73(sF77)
| nil = sK60
| ~ spl81_13 ),
inference(subsumption_resolution,[],[f1411,f560]) ).
fof(f1411,plain,
( sP73(sF77)
| nil = sK60
| ~ ssList(sK60)
| ~ spl81_13 ),
inference(subsumption_resolution,[],[f1406,f862]) ).
fof(f1406,plain,
( sP73(sF77)
| nil = sK60
| ~ ssList(sF76)
| ~ ssList(sK60) ),
inference(superposition,[],[f592,f617]) ).
fof(f1035,plain,
( ~ spl81_7
| ~ spl81_8 ),
inference(avatar_split_clause,[],[f1034,f720,f716]) ).
fof(f716,plain,
( spl81_7
<=> ssList(app(sF77,sF76)) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_7])]) ).
fof(f1034,plain,
( ~ duplicatefreeP(app(sF77,sF76))
| ~ ssList(app(sF77,sF76)) ),
inference(subsumption_resolution,[],[f729,f560]) ).
fof(f729,plain,
( ~ duplicatefreeP(app(sF77,sF76))
| ~ ssList(sK60)
| ~ ssList(app(sF77,sF76)) ),
inference(superposition,[],[f712,f617]) ).
fof(f712,plain,
! [X0] :
( ~ duplicatefreeP(app(app(X0,sF76),sF76))
| ~ ssList(X0)
| ~ ssList(app(app(X0,sF76),sF76)) ),
inference(subsumption_resolution,[],[f710,f445]) ).
fof(f710,plain,
! [X0] :
( ~ duplicatefreeP(app(app(X0,sF76),sF76))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(app(app(X0,sF76),sF76)) ),
inference(superposition,[],[f697,f616]) ).
fof(f697,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,[],[f696,f558]) ).
fof(f696,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,[],[f691,f445]) ).
fof(f691,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/benchmark/theBenchmark.p',ax13) ).
fof(f1000,plain,
( ~ spl81_9
| spl81_7
| ~ spl81_13 ),
inference(avatar_split_clause,[],[f999,f861,f716,f733]) ).
fof(f999,plain,
( ~ ssList(sF77)
| spl81_7
| ~ spl81_13 ),
inference(subsumption_resolution,[],[f969,f862]) ).
fof(f969,plain,
( ~ ssList(sF76)
| ~ ssList(sF77)
| spl81_7 ),
inference(resolution,[],[f457,f718]) ).
fof(f718,plain,
( ~ ssList(app(sF77,sF76))
| spl81_7 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f994,plain,
( spl81_9
| ~ spl81_13 ),
inference(avatar_split_clause,[],[f993,f861,f733]) ).
fof(f993,plain,
( ssList(sF77)
| ~ spl81_13 ),
inference(subsumption_resolution,[],[f992,f560]) ).
fof(f992,plain,
( ssList(sF77)
| ~ ssList(sK60)
| ~ spl81_13 ),
inference(subsumption_resolution,[],[f975,f862]) ).
fof(f975,plain,
( ssList(sF77)
| ~ ssList(sF76)
| ~ ssList(sK60) ),
inference(superposition,[],[f457,f617]) ).
fof(f991,plain,
( ~ spl81_9
| spl81_27
| ~ spl81_20 ),
inference(avatar_split_clause,[],[f986,f901,f988,f733]) ).
fof(f901,plain,
( spl81_20
<=> ssList(sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl81_20])]) ).
fof(f986,plain,
( ssList(sF79)
| ~ ssList(sF77)
| ~ spl81_20 ),
inference(subsumption_resolution,[],[f976,f902]) ).
fof(f902,plain,
( ssList(sF78)
| ~ spl81_20 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f976,plain,
( ssList(sF79)
| ~ ssList(sF78)
| ~ ssList(sF77) ),
inference(superposition,[],[f457,f619]) ).
fof(f954,plain,
spl81_20,
inference(avatar_split_clause,[],[f953,f901]) ).
fof(f953,plain,
ssList(sF78),
inference(subsumption_resolution,[],[f952,f445]) ).
fof(f952,plain,
( ssList(sF78)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f940,f559]) ).
fof(f940,plain,
( ssList(sF78)
| ~ ssItem(sK59)
| ~ ssList(nil) ),
inference(superposition,[],[f444,f618]) ).
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/benchmark/theBenchmark.p',ax16) ).
fof(f951,plain,
spl81_13,
inference(avatar_split_clause,[],[f950,f861]) ).
fof(f950,plain,
ssList(sF76),
inference(subsumption_resolution,[],[f949,f445]) ).
fof(f949,plain,
( ssList(sF76)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f939,f558]) ).
fof(f939,plain,
( ssList(sF76)
| ~ ssItem(sK58)
| ~ ssList(nil) ),
inference(superposition,[],[f444,f616]) ).
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
% 0.02/0.10 % Problem : SWC177+1 : TPTP v8.2.0. Released v2.4.0.
% 0.02/0.11 % 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
% 0.10/0.31 % Computer : n009.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sun May 19 02:35:37 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.32 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/benchmark/theBenchmark.p
% 0.40/0.61 % (4822)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2997ds/33Mi)
% 0.40/0.61 % (4825)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 theBenchmark for (2997ds/83Mi)
% 0.40/0.61 % (4826)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2997ds/56Mi)
% 0.40/0.61 % (4824)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2997ds/45Mi)
% 0.40/0.61 % (4819)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 theBenchmark for (2997ds/34Mi)
% 0.40/0.61 % (4821)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2997ds/78Mi)
% 0.40/0.61 % (4820)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 theBenchmark for (2997ds/51Mi)
% 0.40/0.61 % (4826)Refutation not found, incomplete strategy% (4826)------------------------------
% 0.40/0.61 % (4826)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.61 % (4826)Termination reason: Refutation not found, incomplete strategy
% 0.40/0.61
% 0.40/0.61 % (4826)Memory used [KB]: 1146
% 0.40/0.61 % (4826)Time elapsed: 0.002 s
% 0.40/0.61 % (4826)Instructions burned: 5 (million)
% 0.40/0.61 % (4826)------------------------------
% 0.40/0.61 % (4826)------------------------------
% 0.40/0.61 % (4823)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 theBenchmark for (2997ds/34Mi)
% 0.40/0.62 % (4827)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 theBenchmark for (2997ds/55Mi)
% 0.44/0.62 % (4822)Instruction limit reached!
% 0.44/0.62 % (4822)------------------------------
% 0.44/0.62 % (4822)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.62 % (4822)Termination reason: Unknown
% 0.44/0.62 % (4822)Termination phase: Saturation
% 0.44/0.62
% 0.44/0.62 % (4822)Memory used [KB]: 1685
% 0.44/0.62 % (4822)Time elapsed: 0.012 s
% 0.44/0.62 % (4822)Instructions burned: 35 (million)
% 0.44/0.62 % (4822)------------------------------
% 0.44/0.62 % (4822)------------------------------
% 0.44/0.62 % (4828)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 theBenchmark for (2997ds/50Mi)
% 0.44/0.63 % (4823)Instruction limit reached!
% 0.44/0.63 % (4823)------------------------------
% 0.44/0.63 % (4823)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.63 % (4823)Termination reason: Unknown
% 0.44/0.63 % (4823)Termination phase: Saturation
% 0.44/0.63
% 0.44/0.63 % (4823)Memory used [KB]: 2121
% 0.44/0.63 % (4823)Time elapsed: 0.012 s
% 0.44/0.63 % (4823)Instructions burned: 36 (million)
% 0.44/0.63 % (4823)------------------------------
% 0.44/0.63 % (4823)------------------------------
% 0.44/0.63 % (4829)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2997ds/208Mi)
% 0.44/0.63 % (4825)Instruction limit reached!
% 0.44/0.63 % (4825)------------------------------
% 0.44/0.63 % (4825)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.63 % (4825)Termination reason: Unknown
% 0.44/0.63 % (4825)Termination phase: Saturation
% 0.44/0.63
% 0.44/0.63 % (4825)Memory used [KB]: 2068
% 0.44/0.63 % (4825)Time elapsed: 0.021 s
% 0.44/0.63 % (4825)Instructions burned: 83 (million)
% 0.44/0.63 % (4825)------------------------------
% 0.44/0.63 % (4825)------------------------------
% 0.44/0.63 % (4819)Instruction limit reached!
% 0.44/0.63 % (4819)------------------------------
% 0.44/0.63 % (4819)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.63 % (4819)Termination reason: Unknown
% 0.44/0.63 % (4819)Termination phase: Saturation
% 0.44/0.63
% 0.44/0.63 % (4819)Memory used [KB]: 1485
% 0.44/0.63 % (4819)Time elapsed: 0.021 s
% 0.44/0.63 % (4819)Instructions burned: 35 (million)
% 0.44/0.63 % (4819)------------------------------
% 0.44/0.63 % (4819)------------------------------
% 0.44/0.63 % (4830)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 theBenchmark for (2997ds/52Mi)
% 0.44/0.64 % (4831)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 theBenchmark for (2997ds/518Mi)
% 0.44/0.64 % (4824)Instruction limit reached!
% 0.44/0.64 % (4824)------------------------------
% 0.44/0.64 % (4824)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.64 % (4824)Termination reason: Unknown
% 0.44/0.64 % (4824)Termination phase: Saturation
% 0.44/0.64
% 0.44/0.64 % (4824)Memory used [KB]: 1661
% 0.44/0.64 % (4824)Time elapsed: 0.028 s
% 0.44/0.64 % (4824)Instructions burned: 46 (million)
% 0.44/0.64 % (4824)------------------------------
% 0.44/0.64 % (4824)------------------------------
% 0.44/0.64 % (4828)Instruction limit reached!
% 0.44/0.64 % (4828)------------------------------
% 0.44/0.64 % (4828)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.64 % (4828)Termination reason: Unknown
% 0.44/0.64 % (4828)Termination phase: Saturation
% 0.44/0.64
% 0.44/0.64 % (4828)Memory used [KB]: 1926
% 0.44/0.64 % (4828)Time elapsed: 0.017 s
% 0.44/0.64 % (4828)Instructions burned: 51 (million)
% 0.44/0.64 % (4828)------------------------------
% 0.44/0.64 % (4828)------------------------------
% 0.44/0.64 % (4832)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 theBenchmark for (2996ds/42Mi)
% 0.44/0.64 % (4820)Instruction limit reached!
% 0.44/0.64 % (4820)------------------------------
% 0.44/0.64 % (4820)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.64 % (4820)Termination reason: Unknown
% 0.44/0.64 % (4820)Termination phase: Saturation
% 0.44/0.64
% 0.44/0.64 % (4820)Memory used [KB]: 2004
% 0.44/0.64 % (4820)Time elapsed: 0.033 s
% 0.44/0.64 % (4820)Instructions burned: 51 (million)
% 0.44/0.64 % (4820)------------------------------
% 0.44/0.64 % (4820)------------------------------
% 0.44/0.64 % (4833)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 theBenchmark for (2996ds/243Mi)
% 0.44/0.64 % (4827)Instruction limit reached!
% 0.44/0.64 % (4827)------------------------------
% 0.44/0.64 % (4827)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.64 % (4827)Termination reason: Unknown
% 0.44/0.64 % (4827)Termination phase: Saturation
% 0.44/0.64
% 0.44/0.64 % (4827)Memory used [KB]: 2107
% 0.44/0.64 % (4827)Time elapsed: 0.028 s
% 0.44/0.64 % (4827)Instructions burned: 56 (million)
% 0.44/0.64 % (4827)------------------------------
% 0.44/0.64 % (4827)------------------------------
% 0.44/0.65 % (4834)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.44/0.65 % (4835)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 theBenchmark for (2996ds/143Mi)
% 0.62/0.65 % (4830)Instruction limit reached!
% 0.62/0.65 % (4830)------------------------------
% 0.62/0.65 % (4830)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.65 % (4830)Termination reason: Unknown
% 0.62/0.65 % (4830)Termination phase: Saturation
% 0.62/0.65
% 0.62/0.65 % (4830)Memory used [KB]: 1922
% 0.62/0.65 % (4830)Time elapsed: 0.019 s
% 0.62/0.65 % (4830)Instructions burned: 53 (million)
% 0.62/0.65 % (4830)------------------------------
% 0.62/0.65 % (4830)------------------------------
% 0.62/0.65 % (4836)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 theBenchmark for (2996ds/93Mi)
% 0.62/0.66 % (4821)Instruction limit reached!
% 0.62/0.66 % (4821)------------------------------
% 0.62/0.66 % (4821)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.66 % (4821)Termination reason: Unknown
% 0.62/0.66 % (4821)Termination phase: Saturation
% 0.62/0.66
% 0.62/0.66 % (4821)Memory used [KB]: 1927
% 0.62/0.66 % (4821)Time elapsed: 0.048 s
% 0.62/0.66 % (4821)Instructions burned: 78 (million)
% 0.62/0.66 % (4821)------------------------------
% 0.62/0.66 % (4821)------------------------------
% 0.62/0.66 % (4837)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 theBenchmark for (2996ds/62Mi)
% 0.62/0.66 % (4832)Instruction limit reached!
% 0.62/0.66 % (4832)------------------------------
% 0.62/0.66 % (4832)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.66 % (4832)Termination reason: Unknown
% 0.62/0.66 % (4832)Termination phase: Saturation
% 0.62/0.66
% 0.62/0.66 % (4832)Memory used [KB]: 2097
% 0.62/0.67 % (4832)Time elapsed: 0.025 s
% 0.62/0.67 % (4832)Instructions burned: 42 (million)
% 0.62/0.67 % (4832)------------------------------
% 0.62/0.67 % (4832)------------------------------
% 0.62/0.67 % (4838)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 theBenchmark for (2996ds/32Mi)
% 0.62/0.68 % (4838)Instruction limit reached!
% 0.62/0.68 % (4838)------------------------------
% 0.62/0.68 % (4838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.68 % (4838)Termination reason: Unknown
% 0.62/0.68 % (4838)Termination phase: Saturation
% 0.62/0.68
% 0.62/0.68 % (4838)Memory used [KB]: 1516
% 0.62/0.68 % (4838)Time elapsed: 0.017 s
% 0.62/0.68 % (4838)Instructions burned: 34 (million)
% 0.62/0.68 % (4838)------------------------------
% 0.62/0.68 % (4838)------------------------------
% 0.62/0.68 % (4836)Instruction limit reached!
% 0.62/0.68 % (4836)------------------------------
% 0.62/0.68 % (4836)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.68 % (4836)Termination reason: Unknown
% 0.62/0.68 % (4836)Termination phase: Saturation
% 0.62/0.68
% 0.62/0.68 % (4836)Memory used [KB]: 2174
% 0.62/0.68 % (4836)Time elapsed: 0.032 s
% 0.62/0.68 % (4836)Instructions burned: 94 (million)
% 0.62/0.68 % (4836)------------------------------
% 0.62/0.68 % (4836)------------------------------
% 0.62/0.69 % (4839)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 theBenchmark for (2996ds/1919Mi)
% 0.62/0.69 % (4840)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 theBenchmark for (2996ds/55Mi)
% 0.62/0.70 % (4835)Instruction limit reached!
% 0.62/0.70 % (4835)------------------------------
% 0.62/0.70 % (4835)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.70 % (4835)Termination reason: Unknown
% 0.62/0.70 % (4835)Termination phase: Saturation
% 0.62/0.70
% 0.62/0.70 % (4835)Memory used [KB]: 3184
% 0.62/0.70 % (4835)Time elapsed: 0.053 s
% 0.62/0.70 % (4835)Instructions burned: 143 (million)
% 0.62/0.70 % (4835)------------------------------
% 0.62/0.70 % (4835)------------------------------
% 0.62/0.70 % (4837)Instruction limit reached!
% 0.62/0.70 % (4837)------------------------------
% 0.62/0.70 % (4837)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.70 % (4837)Termination reason: Unknown
% 0.62/0.70 % (4837)Termination phase: Saturation
% 0.62/0.70
% 0.62/0.70 % (4837)Memory used [KB]: 2273
% 0.62/0.70 % (4837)Time elapsed: 0.040 s
% 0.62/0.70 % (4837)Instructions burned: 63 (million)
% 0.62/0.70 % (4837)------------------------------
% 0.62/0.70 % (4837)------------------------------
% 0.62/0.70 % (4834)Instruction limit reached!
% 0.62/0.70 % (4834)------------------------------
% 0.62/0.70 % (4834)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.70 % (4834)Termination reason: Unknown
% 0.62/0.70 % (4834)Termination phase: Saturation
% 0.62/0.70
% 0.62/0.70 % (4834)Memory used [KB]: 2925
% 0.62/0.70 % (4834)Time elapsed: 0.056 s
% 0.62/0.70 % (4834)Instructions burned: 119 (million)
% 0.62/0.70 % (4834)------------------------------
% 0.62/0.70 % (4834)------------------------------
% 0.62/0.70 % (4841)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 theBenchmark for (2996ds/53Mi)
% 0.62/0.70 % (4840)Instruction limit reached!
% 0.62/0.70 % (4840)------------------------------
% 0.62/0.70 % (4840)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.70 % (4840)Termination reason: Unknown
% 0.62/0.70 % (4840)Termination phase: Saturation
% 0.62/0.70
% 0.62/0.70 % (4840)Memory used [KB]: 2226
% 0.62/0.70 % (4840)Time elapsed: 0.017 s
% 0.62/0.70 % (4840)Instructions burned: 57 (million)
% 0.62/0.70 % (4840)------------------------------
% 0.62/0.70 % (4840)------------------------------
% 0.62/0.70 % (4843)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 theBenchmark for (2996ds/102Mi)
% 0.62/0.71 % (4844)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 theBenchmark for (2996ds/35Mi)
% 0.62/0.71 % (4842)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 theBenchmark for (2996ds/46Mi)
% 0.62/0.72 % (4844)Instruction limit reached!
% 0.62/0.72 % (4844)------------------------------
% 0.62/0.72 % (4844)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.72 % (4844)Termination reason: Unknown
% 0.62/0.72 % (4844)Termination phase: Saturation
% 0.62/0.72
% 0.62/0.72 % (4844)Memory used [KB]: 1543
% 0.62/0.72 % (4844)Time elapsed: 0.011 s
% 0.62/0.72 % (4844)Instructions burned: 36 (million)
% 0.62/0.72 % (4844)------------------------------
% 0.62/0.72 % (4844)------------------------------
% 0.62/0.72 % (4841)Instruction limit reached!
% 0.62/0.72 % (4841)------------------------------
% 0.62/0.72 % (4841)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.72 % (4841)Termination reason: Unknown
% 0.62/0.72 % (4841)Termination phase: Saturation
% 0.62/0.72
% 0.62/0.72 % (4841)Memory used [KB]: 1768
% 0.62/0.72 % (4841)Time elapsed: 0.036 s
% 0.62/0.72 % (4841)Instructions burned: 53 (million)
% 0.62/0.72 % (4841)------------------------------
% 0.62/0.72 % (4841)------------------------------
% 0.62/0.72 % (4846)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 theBenchmark for (2996ds/109Mi)
% 0.62/0.72 % (4845)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2996ds/87Mi)
% 0.62/0.72 % (4842)Instruction limit reached!
% 0.62/0.72 % (4842)------------------------------
% 0.62/0.72 % (4842)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.72 % (4842)Termination reason: Unknown
% 0.62/0.72 % (4842)Termination phase: Saturation
% 0.62/0.72
% 0.62/0.72 % (4842)Memory used [KB]: 2234
% 0.62/0.72 % (4842)Time elapsed: 0.043 s
% 0.62/0.72 % (4842)Instructions burned: 46 (million)
% 0.62/0.72 % (4842)------------------------------
% 0.62/0.72 % (4842)------------------------------
% 1.00/0.73 % (4829)Instruction limit reached!
% 1.00/0.73 % (4829)------------------------------
% 1.00/0.73 % (4829)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.73 % (4829)Termination reason: Unknown
% 1.00/0.73 % (4829)Termination phase: Saturation
% 1.00/0.73
% 1.00/0.73 % (4829)Memory used [KB]: 2844
% 1.00/0.73 % (4829)Time elapsed: 0.099 s
% 1.00/0.73 % (4829)Instructions burned: 209 (million)
% 1.00/0.73 % (4829)------------------------------
% 1.00/0.73 % (4829)------------------------------
% 1.00/0.73 % (4847)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 theBenchmark for (2996ds/161Mi)
% 1.00/0.73 % (4847)Refutation not found, incomplete strategy% (4847)------------------------------
% 1.00/0.73 % (4847)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.73 % (4847)Termination reason: Refutation not found, incomplete strategy
% 1.00/0.73
% 1.00/0.73 % (4847)Memory used [KB]: 1144
% 1.00/0.73 % (4847)Time elapsed: 0.026 s
% 1.00/0.73 % (4847)Instructions burned: 5 (million)
% 1.00/0.73 % (4847)------------------------------
% 1.00/0.73 % (4847)------------------------------
% 1.00/0.73 % (4848)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 theBenchmark for (2996ds/69Mi)
% 1.00/0.73 % (4849)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 theBenchmark for (2995ds/40Mi)
% 1.00/0.74 % (4843)Instruction limit reached!
% 1.00/0.74 % (4843)------------------------------
% 1.00/0.74 % (4843)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.74 % (4843)Termination reason: Unknown
% 1.00/0.74 % (4843)Termination phase: Saturation
% 1.00/0.74
% 1.00/0.74 % (4843)Memory used [KB]: 2948
% 1.00/0.74 % (4843)Time elapsed: 0.057 s
% 1.00/0.74 % (4843)Instructions burned: 102 (million)
% 1.00/0.74 % (4843)------------------------------
% 1.00/0.74 % (4843)------------------------------
% 1.00/0.74 % (4850)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 theBenchmark for (2995ds/360Mi)
% 1.00/0.74 % (4845)Instruction limit reached!
% 1.00/0.74 % (4845)------------------------------
% 1.00/0.74 % (4845)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.74 % (4845)Termination reason: Unknown
% 1.00/0.74 % (4845)Termination phase: Saturation
% 1.00/0.74
% 1.00/0.74 % (4845)Memory used [KB]: 2658
% 1.00/0.74 % (4845)Time elapsed: 0.048 s
% 1.00/0.74 % (4845)Instructions burned: 87 (million)
% 1.00/0.74 % (4845)------------------------------
% 1.00/0.74 % (4845)------------------------------
% 1.00/0.74 % (4851)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 theBenchmark for (2995ds/161Mi)
% 1.00/0.75 % (4848)Instruction limit reached!
% 1.00/0.75 % (4848)------------------------------
% 1.00/0.75 % (4848)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.75 % (4848)Termination reason: Unknown
% 1.00/0.75 % (4848)Termination phase: Saturation
% 1.00/0.75
% 1.00/0.75 % (4848)Memory used [KB]: 1937
% 1.00/0.75 % (4848)Time elapsed: 0.047 s
% 1.00/0.75 % (4848)Instructions burned: 71 (million)
% 1.00/0.75 % (4848)------------------------------
% 1.00/0.75 % (4848)------------------------------
% 1.00/0.75 % (4849)Instruction limit reached!
% 1.00/0.75 % (4849)------------------------------
% 1.00/0.75 % (4849)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.75 % (4849)Termination reason: Unknown
% 1.00/0.75 % (4849)Termination phase: Saturation
% 1.00/0.75
% 1.00/0.75 % (4849)Memory used [KB]: 1537
% 1.00/0.75 % (4849)Time elapsed: 0.021 s
% 1.00/0.75 % (4849)Instructions burned: 43 (million)
% 1.00/0.75 % (4849)------------------------------
% 1.00/0.75 % (4849)------------------------------
% 1.00/0.75 % (4852)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2995ds/80Mi)
% 1.00/0.75 % (4846)Instruction limit reached!
% 1.00/0.75 % (4846)------------------------------
% 1.00/0.75 % (4846)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.75 % (4846)Termination reason: Unknown
% 1.00/0.75 % (4846)Termination phase: Saturation
% 1.00/0.75
% 1.00/0.75 % (4846)Memory used [KB]: 2664
% 1.00/0.75 % (4846)Time elapsed: 0.059 s
% 1.00/0.75 % (4846)Instructions burned: 110 (million)
% 1.00/0.75 % (4846)------------------------------
% 1.00/0.75 % (4846)------------------------------
% 1.00/0.75 % (4853)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 theBenchmark for (2995ds/37Mi)
% 1.00/0.75 % (4854)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 theBenchmark for (2995ds/55Mi)
% 1.00/0.76 % (4833)Instruction limit reached!
% 1.00/0.76 % (4833)------------------------------
% 1.00/0.76 % (4833)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.76 % (4833)Termination reason: Unknown
% 1.00/0.76 % (4833)Termination phase: Saturation
% 1.00/0.76
% 1.00/0.76 % (4833)Memory used [KB]: 2732
% 1.00/0.76 % (4833)Time elapsed: 0.119 s
% 1.00/0.76 % (4833)Instructions burned: 245 (million)
% 1.00/0.76 % (4833)------------------------------
% 1.00/0.76 % (4833)------------------------------
% 1.00/0.76 % (4855)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 theBenchmark for (2995ds/47Mi)
% 1.00/0.77 % (4853)Instruction limit reached!
% 1.00/0.77 % (4853)------------------------------
% 1.00/0.77 % (4853)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.77 % (4853)Termination reason: Unknown
% 1.00/0.77 % (4853)Termination phase: Saturation
% 1.00/0.77
% 1.00/0.77 % (4853)Memory used [KB]: 2052
% 1.00/0.77 % (4853)Time elapsed: 0.014 s
% 1.00/0.77 % (4853)Instructions burned: 39 (million)
% 1.00/0.77 % (4853)------------------------------
% 1.00/0.77 % (4853)------------------------------
% 1.00/0.77 % (4856)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2995ds/32Mi)
% 1.38/0.77 % (4854)Instruction limit reached!
% 1.38/0.77 % (4854)------------------------------
% 1.38/0.77 % (4854)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.38/0.77 % (4854)Termination reason: Unknown
% 1.38/0.77 % (4854)Termination phase: Saturation
% 1.38/0.77
% 1.38/0.77 % (4854)Memory used [KB]: 1705
% 1.38/0.77 % (4854)Time elapsed: 0.018 s
% 1.38/0.77 % (4854)Instructions burned: 57 (million)
% 1.38/0.77 % (4854)------------------------------
% 1.38/0.77 % (4854)------------------------------
% 1.38/0.77 % (4857)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 theBenchmark for (2995ds/132Mi)
% 1.38/0.78 % (4856)Instruction limit reached!
% 1.38/0.78 % (4856)------------------------------
% 1.38/0.78 % (4856)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.38/0.78 % (4856)Termination reason: Unknown
% 1.38/0.78 % (4856)Termination phase: Saturation
% 1.38/0.78
% 1.38/0.78 % (4856)Memory used [KB]: 1533
% 1.38/0.78 % (4856)Time elapsed: 0.011 s
% 1.38/0.78 % (4856)Instructions burned: 34 (million)
% 1.38/0.78 % (4856)------------------------------
% 1.38/0.78 % (4856)------------------------------
% 1.38/0.78 % (4855)Instruction limit reached!
% 1.38/0.78 % (4855)------------------------------
% 1.38/0.78 % (4855)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.38/0.78 % (4855)Termination reason: Unknown
% 1.38/0.78 % (4855)Termination phase: Saturation
% 1.38/0.78
% 1.38/0.78 % (4855)Memory used [KB]: 2083
% 1.38/0.78 % (4855)Time elapsed: 0.017 s
% 1.38/0.78 % (4855)Instructions burned: 47 (million)
% 1.38/0.78 % (4855)------------------------------
% 1.38/0.78 % (4855)------------------------------
% 1.38/0.78 % (4858)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 theBenchmark for (2995ds/54Mi)
% 1.38/0.78 % (4859)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 theBenchmark for (2995ds/82Mi)
% 1.38/0.78 % (4852)Instruction limit reached!
% 1.38/0.78 % (4852)------------------------------
% 1.38/0.78 % (4852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.38/0.78 % (4852)Termination reason: Unknown
% 1.38/0.78 % (4852)Termination phase: Saturation
% 1.38/0.78
% 1.38/0.78 % (4852)Memory used [KB]: 1693
% 1.38/0.78 % (4852)Time elapsed: 0.034 s
% 1.38/0.78 % (4852)Instructions burned: 81 (million)
% 1.38/0.78 % (4852)------------------------------
% 1.38/0.78 % (4852)------------------------------
% 1.38/0.79 % (4851)Instruction limit reached!
% 1.38/0.79 % (4851)------------------------------
% 1.38/0.79 % (4851)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.38/0.79 % (4851)Termination reason: Unknown
% 1.38/0.79 % (4851)Termination phase: Saturation
% 1.38/0.79
% 1.38/0.79 % (4851)Memory used [KB]: 2051
% 1.38/0.79 % (4851)Time elapsed: 0.044 s
% 1.38/0.79 % (4851)Instructions burned: 161 (million)
% 1.38/0.79 % (4851)------------------------------
% 1.38/0.79 % (4851)------------------------------
% 1.38/0.79 % (4860)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 theBenchmark for (2995ds/119Mi)
% 1.38/0.79 % (4861)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 theBenchmark for (2995ds/177Mi)
% 1.38/0.80 % (4858)Instruction limit reached!
% 1.38/0.80 % (4858)------------------------------
% 1.38/0.80 % (4858)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.38/0.80 % (4858)Termination reason: Unknown
% 1.38/0.80 % (4858)Termination phase: Saturation
% 1.38/0.80
% 1.38/0.80 % (4858)Memory used [KB]: 2161
% 1.38/0.80 % (4858)Time elapsed: 0.017 s
% 1.38/0.80 % (4858)Instructions burned: 56 (million)
% 1.38/0.80 % (4858)------------------------------
% 1.38/0.80 % (4858)------------------------------
% 1.38/0.80 % (4850)First to succeed.
% 1.38/0.80 % (4862)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 theBenchmark for (2995ds/117Mi)
% 1.38/0.80 % (4850)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4818"
% 1.38/0.80 % (4850)Refutation found. Thanks to Tanya!
% 1.38/0.80 % SZS status Theorem for theBenchmark
% 1.38/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.80 % (4850)------------------------------
% 1.38/0.80 % (4850)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.38/0.80 % (4850)Termination reason: Refutation
% 1.38/0.80
% 1.38/0.80 % (4850)Memory used [KB]: 2793
% 1.38/0.80 % (4850)Time elapsed: 0.062 s
% 1.38/0.80 % (4850)Instructions burned: 179 (million)
% 1.38/0.80 % (4818)Success in time 0.476 s
% 1.38/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------