TSTP Solution File: SWC183+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC183+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 : n027.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 04:36:53 EDT 2024
% Result : Theorem 2.58s 1.13s
% Output : Refutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 63
% Syntax : Number of formulae : 321 ( 25 unt; 0 def)
% Number of atoms : 1467 ( 333 equ)
% Maximal formula atoms : 42 ( 4 avg)
% Number of connectives : 1872 ( 726 ~; 795 |; 255 &)
% ( 31 <=>; 65 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 25 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-2 aty)
% Number of variables : 327 ( 218 !; 109 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5451,plain,
$false,
inference(avatar_sat_refutation,[],[f643,f648,f665,f846,f876,f880,f1096,f1118,f1121,f1141,f1147,f1211,f3490,f3518,f3804,f4189,f4296,f4297,f4300,f4467,f4512,f4525,f4760,f5385,f5446,f5450]) ).
fof(f5450,plain,
( ~ spl78_4
| ~ spl78_7
| spl78_8
| ~ spl78_18
| ~ spl78_35
| ~ spl78_41
| spl78_61
| ~ spl78_63
| ~ spl78_176 ),
inference(avatar_contradiction_clause,[],[f5449]) ).
fof(f5449,plain,
( $false
| ~ spl78_4
| ~ spl78_7
| spl78_8
| ~ spl78_18
| ~ spl78_35
| ~ spl78_41
| spl78_61
| ~ spl78_63
| ~ spl78_176 ),
inference(subsumption_resolution,[],[f5448,f5440]) ).
fof(f5440,plain,
( memberP(nil,sK57)
| ~ spl78_4
| ~ spl78_7
| ~ spl78_18
| ~ spl78_35
| ~ spl78_41
| spl78_61
| ~ spl78_176 ),
inference(forward_demodulation,[],[f5439,f1091]) ).
fof(f1091,plain,
( nil = sK59
| ~ spl78_35 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1089,plain,
( spl78_35
<=> nil = sK59 ),
introduced(avatar_definition,[new_symbols(naming,[spl78_35])]) ).
fof(f5439,plain,
( memberP(sK59,sK57)
| ~ spl78_4
| ~ spl78_7
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_176 ),
inference(forward_demodulation,[],[f660,f4848]) ).
fof(f4848,plain,
( sK57 = sK58
| ~ spl78_4
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_176 ),
inference(forward_demodulation,[],[f4816,f946]) ).
fof(f946,plain,
sK58 = hd(sF75),
inference(subsumption_resolution,[],[f945,f444]) ).
fof(f444,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f945,plain,
( sK58 = hd(sF75)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f943,f557]) ).
fof(f557,plain,
ssItem(sK58),
inference(cnf_transformation,[],[f351]) ).
fof(f351,plain,
( ( ( nil = sK55
& nil = sK56 )
| ( ! [X5] :
( ~ leq(sK57,X5)
| ~ memberP(sK56,X5)
| sK57 = X5
| ~ ssItem(X5) )
& memberP(sK56,sK57)
& sK55 = cons(sK57,nil)
& ssItem(sK57) ) )
& ( memberP(sK60,sK58)
| memberP(sK59,sK58) )
& sK53 = app(app(sK59,cons(sK58,nil)),sK60)
& ssList(sK60)
& ssList(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])],[f222,f350,f349,f348,f347,f346,f345,f344,f343]) ).
fof(f343,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ( memberP(X8,X6)
| memberP(X7,X6) )
& app(app(X7,cons(X6,nil)),X8) = X0
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ( memberP(X8,X6)
| memberP(X7,X6) )
& app(app(X7,cons(X6,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& 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] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ( memberP(X8,X6)
| memberP(X7,X6) )
& app(app(X7,cons(X6,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ( memberP(X8,X6)
| memberP(X7,X6) )
& app(app(X7,cons(X6,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ( memberP(X8,X6)
| memberP(X7,X6) )
& app(app(X7,cons(X6,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil = sK55
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = sK55
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ( memberP(X8,X6)
| memberP(X7,X6) )
& app(app(X7,cons(X6,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
& ssList(sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
( ? [X3] :
( ( ( nil = sK55
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = sK55
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ( memberP(X8,X6)
| memberP(X7,X6) )
& app(app(X7,cons(X6,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
=> ( ( ( nil = sK55
& nil = sK56 )
| ? [X4] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(sK56,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(sK56,X4)
& cons(X4,nil) = sK55
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ( memberP(X8,X6)
| memberP(X7,X6) )
& app(app(X7,cons(X6,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& sK53 = sK55
& sK54 = sK56
& ssList(sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
( ? [X4] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(sK56,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(sK56,X4)
& cons(X4,nil) = sK55
& ssItem(X4) )
=> ( ! [X5] :
( ~ leq(sK57,X5)
| ~ memberP(sK56,X5)
| sK57 = X5
| ~ ssItem(X5) )
& memberP(sK56,sK57)
& sK55 = cons(sK57,nil)
& ssItem(sK57) ) ),
introduced(choice_axiom,[]) ).
fof(f348,plain,
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( memberP(X8,X6)
| memberP(X7,X6) )
& app(app(X7,cons(X6,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
=> ( ? [X7] :
( ? [X8] :
( ( memberP(X8,sK58)
| memberP(X7,sK58) )
& sK53 = app(app(X7,cons(sK58,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssItem(sK58) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
( ? [X7] :
( ? [X8] :
( ( memberP(X8,sK58)
| memberP(X7,sK58) )
& sK53 = app(app(X7,cons(sK58,nil)),X8)
& ssList(X8) )
& ssList(X7) )
=> ( ? [X8] :
( ( memberP(X8,sK58)
| memberP(sK59,sK58) )
& sK53 = app(app(sK59,cons(sK58,nil)),X8)
& ssList(X8) )
& ssList(sK59) ) ),
introduced(choice_axiom,[]) ).
fof(f350,plain,
( ? [X8] :
( ( memberP(X8,sK58)
| memberP(sK59,sK58) )
& sK53 = app(app(sK59,cons(sK58,nil)),X8)
& ssList(X8) )
=> ( ( memberP(sK60,sK58)
| memberP(sK59,sK58) )
& sK53 = app(app(sK59,cons(sK58,nil)),sK60)
& ssList(sK60) ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ( memberP(X8,X6)
| memberP(X7,X6) )
& app(app(X7,cons(X6,nil)),X8) = X0
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& 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] :
( ? [X5] :
( leq(X4,X5)
& memberP(X3,X5)
& X4 != X5
& ssItem(X5) )
| ~ memberP(X3,X4)
| cons(X4,nil) != X2
| ~ ssItem(X4) ) )
| ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ( ~ memberP(X8,X6)
& ~ memberP(X7,X6) )
| app(app(X7,cons(X6,nil)),X8) != X0
| ~ ssList(X8) ) ) )
| 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 )
& ! [X7] :
( ? [X8] :
( leq(X7,X8)
& memberP(X3,X8)
& X7 != X8
& ssItem(X8) )
| ~ memberP(X3,X7)
| cons(X7,nil) != X2
| ~ ssItem(X7) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ( ~ memberP(X6,X4)
& ~ memberP(X5,X4) )
| app(app(X5,cons(X4,nil)),X6) != X0
| ~ ssList(X6) ) ) )
| 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 )
& ! [X7] :
( ? [X8] :
( leq(X7,X8)
& memberP(X3,X8)
& X7 != X8
& ssItem(X8) )
| ~ memberP(X3,X7)
| cons(X7,nil) != X2
| ~ ssItem(X7) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ( ~ memberP(X6,X4)
& ~ memberP(X5,X4) )
| app(app(X5,cons(X4,nil)),X6) != X0
| ~ ssList(X6) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f943,plain,
( sK58 = hd(sF75)
| ~ ssItem(sK58)
| ~ ssList(nil) ),
inference(superposition,[],[f453,f616]) ).
fof(f616,plain,
cons(sK58,nil) = sF75,
introduced(function_definition,[new_symbols(definition,[sF75])]) ).
fof(f453,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(f4816,plain,
( sK57 = hd(sF75)
| ~ spl78_4
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_176 ),
inference(backward_demodulation,[],[f4493,f2796]) ).
fof(f2796,plain,
( sF75 = sF76
| ~ spl78_176 ),
inference(avatar_component_clause,[],[f2794]) ).
fof(f2794,plain,
( spl78_176
<=> sF75 = sF76 ),
introduced(avatar_definition,[new_symbols(naming,[spl78_176])]) ).
fof(f4493,plain,
( sK57 = hd(sF76)
| ~ spl78_4
| ~ spl78_18
| ~ spl78_41
| spl78_61 ),
inference(forward_demodulation,[],[f3527,f1263]) ).
fof(f1263,plain,
( sK57 = hd(sK55)
| ~ spl78_4
| ~ spl78_41 ),
inference(forward_demodulation,[],[f1146,f642]) ).
fof(f642,plain,
( sK55 = sF74
| ~ spl78_4 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f640,plain,
( spl78_4
<=> sK55 = sF74 ),
introduced(avatar_definition,[new_symbols(naming,[spl78_4])]) ).
fof(f1146,plain,
( sK57 = hd(sF74)
| ~ spl78_41 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f1144,plain,
( spl78_41
<=> sK57 = hd(sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_41])]) ).
fof(f3527,plain,
( hd(sK55) = hd(sF76)
| ~ spl78_18
| spl78_61 ),
inference(subsumption_resolution,[],[f3526,f878]) ).
fof(f878,plain,
( ssList(sF76)
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f877,f558]) ).
fof(f558,plain,
ssList(sK59),
inference(cnf_transformation,[],[f351]) ).
fof(f877,plain,
( ssList(sF76)
| ~ ssList(sK59)
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f865,f795]) ).
fof(f795,plain,
( ssList(sF75)
| ~ spl78_18 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f794,plain,
( spl78_18
<=> ssList(sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_18])]) ).
fof(f865,plain,
( ssList(sF76)
| ~ ssList(sF75)
| ~ ssList(sK59) ),
inference(superposition,[],[f456,f617]) ).
fof(f617,plain,
app(sK59,sF75) = sF76,
introduced(function_definition,[new_symbols(definition,[sF76])]) ).
fof(f456,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(f3526,plain,
( hd(sK55) = hd(sF76)
| ~ ssList(sF76)
| spl78_61 ),
inference(subsumption_resolution,[],[f3525,f559]) ).
fof(f559,plain,
ssList(sK60),
inference(cnf_transformation,[],[f351]) ).
fof(f3525,plain,
( hd(sK55) = hd(sF76)
| ~ ssList(sK60)
| ~ ssList(sF76)
| spl78_61 ),
inference(subsumption_resolution,[],[f3519,f1307]) ).
fof(f1307,plain,
( nil != sF76
| spl78_61 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f1306,plain,
( spl78_61
<=> nil = sF76 ),
introduced(avatar_definition,[new_symbols(naming,[spl78_61])]) ).
fof(f3519,plain,
( hd(sK55) = hd(sF76)
| nil = sF76
| ~ ssList(sK60)
| ~ ssList(sF76) ),
inference(superposition,[],[f538,f667]) ).
fof(f667,plain,
sK55 = app(sF76,sK60),
inference(backward_demodulation,[],[f618,f666]) ).
fof(f666,plain,
sK55 = sF77,
inference(forward_demodulation,[],[f619,f556]) ).
fof(f556,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f351]) ).
fof(f619,plain,
sK53 = sF77,
inference(definition_folding,[],[f560,f618,f617,f616]) ).
fof(f560,plain,
sK53 = app(app(sK59,cons(sK58,nil)),sK60),
inference(cnf_transformation,[],[f351]) ).
fof(f618,plain,
app(sF76,sK60) = sF77,
introduced(function_definition,[new_symbols(definition,[sF77])]) ).
fof(f538,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(f660,plain,
( memberP(sK59,sK58)
| ~ spl78_7 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f658,plain,
( spl78_7
<=> memberP(sK59,sK58) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_7])]) ).
fof(f5448,plain,
( ~ memberP(nil,sK57)
| ~ spl78_4
| spl78_8
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_63
| ~ spl78_176 ),
inference(forward_demodulation,[],[f5447,f1375]) ).
fof(f1375,plain,
( nil = sK60
| ~ spl78_63 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f1373,plain,
( spl78_63
<=> nil = sK60 ),
introduced(avatar_definition,[new_symbols(naming,[spl78_63])]) ).
fof(f5447,plain,
( ~ memberP(sK60,sK57)
| ~ spl78_4
| spl78_8
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_176 ),
inference(forward_demodulation,[],[f663,f4848]) ).
fof(f663,plain,
( ~ memberP(sK60,sK58)
| spl78_8 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f662,plain,
( spl78_8
<=> memberP(sK60,sK58) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_8])]) ).
fof(f5446,plain,
( ~ spl78_4
| ~ spl78_5
| ~ spl78_8
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_63
| ~ spl78_176 ),
inference(avatar_contradiction_clause,[],[f5445]) ).
fof(f5445,plain,
( $false
| ~ spl78_4
| ~ spl78_5
| ~ spl78_8
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_63
| ~ spl78_176 ),
inference(subsumption_resolution,[],[f5441,f647]) ).
fof(f647,plain,
( ssItem(sK57)
| ~ spl78_5 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f645,plain,
( spl78_5
<=> ssItem(sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_5])]) ).
fof(f5441,plain,
( ~ ssItem(sK57)
| ~ spl78_4
| ~ spl78_8
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_63
| ~ spl78_176 ),
inference(resolution,[],[f5400,f474]) ).
fof(f474,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
fof(f5400,plain,
( memberP(nil,sK57)
| ~ spl78_4
| ~ spl78_8
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_63
| ~ spl78_176 ),
inference(backward_demodulation,[],[f4851,f1375]) ).
fof(f4851,plain,
( memberP(sK60,sK57)
| ~ spl78_4
| ~ spl78_8
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_176 ),
inference(backward_demodulation,[],[f664,f4848]) ).
fof(f664,plain,
( memberP(sK60,sK58)
| ~ spl78_8 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f5385,plain,
( spl78_63
| ~ spl78_4
| ~ spl78_5
| ~ spl78_18
| ~ spl78_40
| ~ spl78_41
| spl78_61
| ~ spl78_176 ),
inference(avatar_split_clause,[],[f5384,f2794,f1306,f1144,f1138,f794,f645,f640,f1373]) ).
fof(f1138,plain,
( spl78_40
<=> nil = tl(sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_40])]) ).
fof(f5384,plain,
( nil = sK60
| ~ spl78_4
| ~ spl78_5
| ~ spl78_18
| ~ spl78_40
| ~ spl78_41
| spl78_61
| ~ spl78_176 ),
inference(forward_demodulation,[],[f5383,f1264]) ).
fof(f1264,plain,
( nil = tl(sK55)
| ~ spl78_4
| ~ spl78_40 ),
inference(forward_demodulation,[],[f1140,f642]) ).
fof(f1140,plain,
( nil = tl(sF74)
| ~ spl78_40 ),
inference(avatar_component_clause,[],[f1138]) ).
fof(f5383,plain,
( sK60 = tl(sK55)
| ~ spl78_4
| ~ spl78_5
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_176 ),
inference(subsumption_resolution,[],[f5382,f559]) ).
fof(f5382,plain,
( sK60 = tl(sK55)
| ~ ssList(sK60)
| ~ spl78_4
| ~ spl78_5
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_176 ),
inference(subsumption_resolution,[],[f5365,f647]) ).
fof(f5365,plain,
( sK60 = tl(sK55)
| ~ ssItem(sK57)
| ~ ssList(sK60)
| ~ spl78_4
| ~ spl78_5
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_176 ),
inference(superposition,[],[f455,f5224]) ).
fof(f5224,plain,
( sK55 = cons(sK57,sK60)
| ~ spl78_4
| ~ spl78_5
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_176 ),
inference(subsumption_resolution,[],[f5215,f559]) ).
fof(f5215,plain,
( sK55 = cons(sK57,sK60)
| ~ ssList(sK60)
| ~ spl78_4
| ~ spl78_5
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_176 ),
inference(superposition,[],[f5062,f1742]) ).
fof(f1742,plain,
( ! [X0] :
( cons(sK57,X0) = app(sK55,X0)
| ~ ssList(X0) )
| ~ spl78_4
| ~ spl78_5 ),
inference(forward_demodulation,[],[f1740,f1237]) ).
fof(f1237,plain,
( sK55 = cons(sK57,nil)
| ~ spl78_4 ),
inference(backward_demodulation,[],[f613,f642]) ).
fof(f613,plain,
cons(sK57,nil) = sF74,
introduced(function_definition,[new_symbols(definition,[sF74])]) ).
fof(f1740,plain,
( ! [X0] :
( cons(sK57,X0) = app(cons(sK57,nil),X0)
| ~ ssList(X0) )
| ~ spl78_5 ),
inference(resolution,[],[f532,f647]) ).
fof(f532,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(f5062,plain,
( sK55 = app(sK55,sK60)
| ~ spl78_4
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_176 ),
inference(backward_demodulation,[],[f4761,f4944]) ).
fof(f4944,plain,
( sK55 = sF75
| ~ spl78_4
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_176 ),
inference(forward_demodulation,[],[f4850,f1237]) ).
fof(f4850,plain,
( cons(sK57,nil) = sF75
| ~ spl78_4
| ~ spl78_18
| ~ spl78_41
| spl78_61
| ~ spl78_176 ),
inference(backward_demodulation,[],[f616,f4848]) ).
fof(f4761,plain,
( sK55 = app(sF75,sK60)
| ~ spl78_176 ),
inference(backward_demodulation,[],[f667,f2796]) ).
fof(f455,plain,
! [X0,X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f4760,plain,
( spl78_176
| ~ spl78_18
| ~ spl78_35 ),
inference(avatar_split_clause,[],[f4759,f1089,f794,f2794]) ).
fof(f4759,plain,
( sF75 = sF76
| ~ spl78_18
| ~ spl78_35 ),
inference(subsumption_resolution,[],[f4745,f795]) ).
fof(f4745,plain,
( sF75 = sF76
| ~ ssList(sF75)
| ~ spl78_35 ),
inference(superposition,[],[f458,f4697]) ).
fof(f4697,plain,
( sF76 = app(nil,sF75)
| ~ spl78_35 ),
inference(forward_demodulation,[],[f617,f1091]) ).
fof(f458,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(f4525,plain,
spl78_312,
inference(avatar_split_clause,[],[f558,f4481]) ).
fof(f4481,plain,
( spl78_312
<=> ssList(sK59) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_312])]) ).
fof(f4512,plain,
( ~ spl78_312
| spl78_35
| spl78_214
| ~ spl78_4
| ~ spl78_18
| ~ spl78_41
| spl78_61 ),
inference(avatar_split_clause,[],[f4511,f1306,f1144,f794,f640,f3395,f1089,f4481]) ).
fof(f3395,plain,
( spl78_214
<=> sK57 = hd(sK59) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_214])]) ).
fof(f4511,plain,
( sK57 = hd(sK59)
| nil = sK59
| ~ ssList(sK59)
| ~ spl78_4
| ~ spl78_18
| ~ spl78_41
| spl78_61 ),
inference(forward_demodulation,[],[f4510,f4493]) ).
fof(f4510,plain,
( hd(sK59) = hd(sF76)
| nil = sK59
| ~ ssList(sK59)
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f3371,f795]) ).
fof(f3371,plain,
( hd(sK59) = hd(sF76)
| nil = sK59
| ~ ssList(sF75)
| ~ ssList(sK59) ),
inference(superposition,[],[f538,f617]) ).
fof(f4467,plain,
( ~ spl78_4
| spl78_15
| ~ spl78_18
| ~ spl78_53
| ~ spl78_160
| ~ spl78_258 ),
inference(avatar_contradiction_clause,[],[f4466]) ).
fof(f4466,plain,
( $false
| ~ spl78_4
| spl78_15
| ~ spl78_18
| ~ spl78_53
| ~ spl78_160
| ~ spl78_258 ),
inference(subsumption_resolution,[],[f4464,f1253]) ).
fof(f1253,plain,
( duplicatefreeP(sK55)
| ~ spl78_4
| ~ spl78_53 ),
inference(forward_demodulation,[],[f1210,f642]) ).
fof(f1210,plain,
( duplicatefreeP(sF74)
| ~ spl78_53 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f1208,plain,
( spl78_53
<=> duplicatefreeP(sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_53])]) ).
fof(f4464,plain,
( ~ duplicatefreeP(sK55)
| spl78_15
| ~ spl78_18
| ~ spl78_160
| ~ spl78_258 ),
inference(backward_demodulation,[],[f4304,f4435]) ).
fof(f4435,plain,
( sK55 = app(sK55,sF75)
| ~ spl78_18
| ~ spl78_160
| ~ spl78_258 ),
inference(backward_demodulation,[],[f4301,f4387]) ).
fof(f4387,plain,
( sK55 = sK59
| ~ spl78_18
| ~ spl78_160
| ~ spl78_258 ),
inference(subsumption_resolution,[],[f4386,f553]) ).
fof(f553,plain,
ssList(sK55),
inference(cnf_transformation,[],[f351]) ).
fof(f4386,plain,
( ~ ssList(sK55)
| sK55 = sK59
| ~ spl78_18
| ~ spl78_160
| ~ spl78_258 ),
inference(forward_demodulation,[],[f4385,f2451]) ).
fof(f2451,plain,
( sK55 = sF76
| ~ spl78_160 ),
inference(avatar_component_clause,[],[f2449]) ).
fof(f2449,plain,
( spl78_160
<=> sK55 = sF76 ),
introduced(avatar_definition,[new_symbols(naming,[spl78_160])]) ).
fof(f4385,plain,
( sK55 = sK59
| ~ ssList(sF76)
| ~ spl78_18
| ~ spl78_160
| ~ spl78_258 ),
inference(subsumption_resolution,[],[f4384,f3803]) ).
fof(f3803,plain,
( frontsegP(sK59,sK55)
| ~ spl78_258 ),
inference(avatar_component_clause,[],[f3801]) ).
fof(f3801,plain,
( spl78_258
<=> frontsegP(sK59,sK55) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_258])]) ).
fof(f4384,plain,
( ~ frontsegP(sK59,sK55)
| sK55 = sK59
| ~ ssList(sF76)
| ~ spl78_18
| ~ spl78_160 ),
inference(forward_demodulation,[],[f4383,f2451]) ).
fof(f4383,plain,
( sK55 = sK59
| ~ frontsegP(sK59,sF76)
| ~ ssList(sF76)
| ~ spl78_18
| ~ spl78_160 ),
inference(forward_demodulation,[],[f4382,f2451]) ).
fof(f4382,plain,
( sK59 = sF76
| ~ frontsegP(sK59,sF76)
| ~ ssList(sF76)
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f4288,f558]) ).
fof(f4288,plain,
( sK59 = sF76
| ~ frontsegP(sK59,sF76)
| ~ ssList(sF76)
| ~ ssList(sK59)
| ~ spl78_18 ),
inference(resolution,[],[f2421,f477]) ).
fof(f477,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(f2421,plain,
( frontsegP(sF76,sK59)
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f2420,f878]) ).
fof(f2420,plain,
( frontsegP(sF76,sK59)
| ~ ssList(sF76)
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f2419,f558]) ).
fof(f2419,plain,
( frontsegP(sF76,sK59)
| ~ ssList(sK59)
| ~ ssList(sF76)
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f2406,f795]) ).
fof(f2406,plain,
( frontsegP(sF76,sK59)
| ~ ssList(sF75)
| ~ ssList(sK59)
| ~ ssList(sF76) ),
inference(superposition,[],[f598,f617]) ).
fof(f598,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ),
inference(equality_resolution,[],[f366]) ).
fof(f366,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(f4301,plain,
( sK55 = app(sK59,sF75)
| ~ spl78_160 ),
inference(backward_demodulation,[],[f617,f2451]) ).
fof(f4304,plain,
( ~ duplicatefreeP(app(sK55,sF75))
| spl78_15
| ~ spl78_160 ),
inference(backward_demodulation,[],[f734,f2451]) ).
fof(f734,plain,
( ~ duplicatefreeP(app(sF76,sF75))
| spl78_15 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f732,plain,
( spl78_15
<=> duplicatefreeP(app(sF76,sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_15])]) ).
fof(f4300,plain,
( ~ spl78_159
| spl78_160
| ~ spl78_18 ),
inference(avatar_split_clause,[],[f4299,f794,f2449,f2445]) ).
fof(f2445,plain,
( spl78_159
<=> frontsegP(sF76,sK55) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_159])]) ).
fof(f4299,plain,
( sK55 = sF76
| ~ frontsegP(sF76,sK55)
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f4298,f878]) ).
fof(f4298,plain,
( sK55 = sF76
| ~ frontsegP(sF76,sK55)
| ~ ssList(sF76)
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f3552,f553]) ).
fof(f3552,plain,
( sK55 = sF76
| ~ frontsegP(sF76,sK55)
| ~ ssList(sK55)
| ~ ssList(sF76)
| ~ spl78_18 ),
inference(resolution,[],[f2426,f477]) ).
fof(f2426,plain,
( frontsegP(sK55,sF76)
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f2425,f553]) ).
fof(f2425,plain,
( frontsegP(sK55,sF76)
| ~ ssList(sK55)
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f2424,f878]) ).
fof(f2424,plain,
( frontsegP(sK55,sF76)
| ~ ssList(sF76)
| ~ ssList(sK55) ),
inference(subsumption_resolution,[],[f2408,f559]) ).
fof(f2408,plain,
( frontsegP(sK55,sF76)
| ~ ssList(sK60)
| ~ ssList(sF76)
| ~ ssList(sK55) ),
inference(superposition,[],[f598,f667]) ).
fof(f4297,plain,
( ~ spl78_273
| spl78_159
| ~ spl78_4
| ~ spl78_5
| ~ spl78_221 ),
inference(avatar_split_clause,[],[f3894,f3487,f645,f640,f2445,f3915]) ).
fof(f3915,plain,
( spl78_273
<=> ssList(tl(sF76)) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_273])]) ).
fof(f3487,plain,
( spl78_221
<=> sF76 = cons(sK57,tl(sF76)) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_221])]) ).
fof(f3894,plain,
( frontsegP(sF76,sK55)
| ~ ssList(tl(sF76))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_221 ),
inference(superposition,[],[f2418,f3489]) ).
fof(f3489,plain,
( sF76 = cons(sK57,tl(sF76))
| ~ spl78_221 ),
inference(avatar_component_clause,[],[f3487]) ).
fof(f2418,plain,
( ! [X0] :
( frontsegP(cons(sK57,X0),sK55)
| ~ ssList(X0) )
| ~ spl78_4
| ~ spl78_5 ),
inference(subsumption_resolution,[],[f2417,f1782]) ).
fof(f1782,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0) )
| ~ spl78_4
| ~ spl78_5 ),
inference(subsumption_resolution,[],[f1773,f553]) ).
fof(f1773,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK55) )
| ~ spl78_4
| ~ spl78_5 ),
inference(duplicate_literal_removal,[],[f1752]) ).
fof(f1752,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(X0) )
| ~ spl78_4
| ~ spl78_5 ),
inference(superposition,[],[f456,f1742]) ).
fof(f2417,plain,
( ! [X0] :
( frontsegP(cons(sK57,X0),sK55)
| ~ ssList(X0)
| ~ ssList(cons(sK57,X0)) )
| ~ spl78_4
| ~ spl78_5 ),
inference(subsumption_resolution,[],[f2410,f553]) ).
fof(f2410,plain,
( ! [X0] :
( frontsegP(cons(sK57,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(cons(sK57,X0)) )
| ~ spl78_4
| ~ spl78_5 ),
inference(duplicate_literal_removal,[],[f2405]) ).
fof(f2405,plain,
( ! [X0] :
( frontsegP(cons(sK57,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(cons(sK57,X0))
| ~ ssList(X0) )
| ~ spl78_4
| ~ spl78_5 ),
inference(superposition,[],[f598,f1742]) ).
fof(f4296,plain,
( ~ spl78_18
| spl78_61
| spl78_273 ),
inference(avatar_contradiction_clause,[],[f4295]) ).
fof(f4295,plain,
( $false
| ~ spl78_18
| spl78_61
| spl78_273 ),
inference(subsumption_resolution,[],[f4294,f878]) ).
fof(f4294,plain,
( ~ ssList(sF76)
| spl78_61
| spl78_273 ),
inference(subsumption_resolution,[],[f4293,f1307]) ).
fof(f4293,plain,
( nil = sF76
| ~ ssList(sF76)
| spl78_273 ),
inference(resolution,[],[f3917,f454]) ).
fof(f454,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(f3917,plain,
( ~ ssList(tl(sF76))
| spl78_273 ),
inference(avatar_component_clause,[],[f3915]) ).
fof(f4189,plain,
( spl78_35
| spl78_234 ),
inference(avatar_contradiction_clause,[],[f4188]) ).
fof(f4188,plain,
( $false
| spl78_35
| spl78_234 ),
inference(subsumption_resolution,[],[f4187,f558]) ).
fof(f4187,plain,
( ~ ssList(sK59)
| spl78_35
| spl78_234 ),
inference(subsumption_resolution,[],[f4186,f1090]) ).
fof(f1090,plain,
( nil != sK59
| spl78_35 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f4186,plain,
( nil = sK59
| ~ ssList(sK59)
| spl78_234 ),
inference(resolution,[],[f3694,f454]) ).
fof(f3694,plain,
( ~ ssList(tl(sK59))
| spl78_234 ),
inference(avatar_component_clause,[],[f3692]) ).
fof(f3692,plain,
( spl78_234
<=> ssList(tl(sK59)) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_234])]) ).
fof(f3804,plain,
( ~ spl78_234
| spl78_258
| ~ spl78_4
| ~ spl78_5
| spl78_35
| ~ spl78_214 ),
inference(avatar_split_clause,[],[f3671,f3395,f1089,f645,f640,f3801,f3692]) ).
fof(f3671,plain,
( frontsegP(sK59,sK55)
| ~ ssList(tl(sK59))
| ~ spl78_4
| ~ spl78_5
| spl78_35
| ~ spl78_214 ),
inference(superposition,[],[f2418,f3439]) ).
fof(f3439,plain,
( sK59 = cons(sK57,tl(sK59))
| spl78_35
| ~ spl78_214 ),
inference(subsumption_resolution,[],[f3438,f558]) ).
fof(f3438,plain,
( sK59 = cons(sK57,tl(sK59))
| ~ ssList(sK59)
| spl78_35
| ~ spl78_214 ),
inference(subsumption_resolution,[],[f3432,f1090]) ).
fof(f3432,plain,
( sK59 = cons(sK57,tl(sK59))
| nil = sK59
| ~ ssList(sK59)
| ~ spl78_214 ),
inference(superposition,[],[f529,f3397]) ).
fof(f3397,plain,
( sK57 = hd(sK59)
| ~ spl78_214 ),
inference(avatar_component_clause,[],[f3395]) ).
fof(f529,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(f3518,plain,
( ~ spl78_18
| ~ spl78_61 ),
inference(avatar_contradiction_clause,[],[f3517]) ).
fof(f3517,plain,
( $false
| ~ spl78_18
| ~ spl78_61 ),
inference(subsumption_resolution,[],[f3500,f593]) ).
fof(f593,plain,
~ sP73(nil),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP73])]) ).
fof(f3500,plain,
( sP73(nil)
| ~ spl78_18
| ~ spl78_61 ),
inference(backward_demodulation,[],[f1369,f1308]) ).
fof(f1308,plain,
( nil = sF76
| ~ spl78_61 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f1369,plain,
( sP73(sF76)
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f1368,f558]) ).
fof(f1368,plain,
( sP73(sF76)
| ~ ssList(sK59)
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f1367,f795]) ).
fof(f1367,plain,
( sP73(sF76)
| ~ ssList(sF75)
| ~ ssList(sK59) ),
inference(subsumption_resolution,[],[f1363,f721]) ).
fof(f721,plain,
nil != sF75,
inference(subsumption_resolution,[],[f720,f444]) ).
fof(f720,plain,
( nil != sF75
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f711,f557]) ).
fof(f711,plain,
( nil != sF75
| ~ ssItem(sK58)
| ~ ssList(nil) ),
inference(superposition,[],[f445,f616]) ).
fof(f445,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(f1363,plain,
( sP73(sF76)
| nil = sF75
| ~ ssList(sF75)
| ~ ssList(sK59) ),
inference(superposition,[],[f594,f617]) ).
fof(f594,plain,
! [X0,X1] :
( sP73(app(X0,X1))
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(inequality_splitting,[],[f534,f593]) ).
fof(f534,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(f3490,plain,
( spl78_61
| spl78_221
| ~ spl78_18
| spl78_35
| ~ spl78_214 ),
inference(avatar_split_clause,[],[f3485,f3395,f1089,f794,f3487,f1306]) ).
fof(f3485,plain,
( sF76 = cons(sK57,tl(sF76))
| nil = sF76
| ~ spl78_18
| spl78_35
| ~ spl78_214 ),
inference(subsumption_resolution,[],[f3471,f878]) ).
fof(f3471,plain,
( sF76 = cons(sK57,tl(sF76))
| nil = sF76
| ~ ssList(sF76)
| ~ spl78_18
| spl78_35
| ~ spl78_214 ),
inference(superposition,[],[f529,f3401]) ).
fof(f3401,plain,
( sK57 = hd(sF76)
| ~ spl78_18
| spl78_35
| ~ spl78_214 ),
inference(backward_demodulation,[],[f3386,f3397]) ).
fof(f3386,plain,
( hd(sK59) = hd(sF76)
| ~ spl78_18
| spl78_35 ),
inference(subsumption_resolution,[],[f3385,f558]) ).
fof(f3385,plain,
( hd(sK59) = hd(sF76)
| ~ ssList(sK59)
| ~ spl78_18
| spl78_35 ),
inference(subsumption_resolution,[],[f3384,f795]) ).
fof(f3384,plain,
( hd(sK59) = hd(sF76)
| ~ ssList(sF75)
| ~ ssList(sK59)
| spl78_35 ),
inference(subsumption_resolution,[],[f3371,f1090]) ).
fof(f1211,plain,
( ~ spl78_5
| spl78_53 ),
inference(avatar_split_clause,[],[f783,f1208,f645]) ).
fof(f783,plain,
( duplicatefreeP(sF74)
| ~ ssItem(sK57) ),
inference(superposition,[],[f520,f613]) ).
fof(f520,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(f1147,plain,
( ~ spl78_5
| spl78_41 ),
inference(avatar_split_clause,[],[f1142,f1144,f645]) ).
fof(f1142,plain,
( sK57 = hd(sF74)
| ~ ssItem(sK57) ),
inference(subsumption_resolution,[],[f942,f444]) ).
fof(f942,plain,
( sK57 = hd(sF74)
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f453,f613]) ).
fof(f1141,plain,
( ~ spl78_5
| spl78_40 ),
inference(avatar_split_clause,[],[f1136,f1138,f645]) ).
fof(f1136,plain,
( nil = tl(sF74)
| ~ ssItem(sK57) ),
inference(subsumption_resolution,[],[f948,f444]) ).
fof(f948,plain,
( nil = tl(sF74)
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f455,f613]) ).
fof(f1121,plain,
( ~ spl78_2
| ~ spl78_18
| ~ spl78_36 ),
inference(avatar_contradiction_clause,[],[f1120]) ).
fof(f1120,plain,
( $false
| ~ spl78_2
| ~ spl78_18
| ~ spl78_36 ),
inference(subsumption_resolution,[],[f1119,f591]) ).
fof(f591,plain,
~ sP72(nil),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP72])]) ).
fof(f1119,plain,
( sP72(nil)
| ~ spl78_2
| ~ spl78_18
| ~ spl78_36 ),
inference(forward_demodulation,[],[f1095,f1099]) ).
fof(f1099,plain,
( nil = sF76
| ~ spl78_2
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f1098,f878]) ).
fof(f1098,plain,
( nil = sF76
| ~ ssList(sF76)
| ~ spl78_2 ),
inference(subsumption_resolution,[],[f1097,f559]) ).
fof(f1097,plain,
( nil = sF76
| ~ ssList(sK60)
| ~ ssList(sF76)
| ~ spl78_2 ),
inference(subsumption_resolution,[],[f1083,f591]) ).
fof(f1083,plain,
( sP72(nil)
| nil = sF76
| ~ ssList(sK60)
| ~ ssList(sF76)
| ~ spl78_2 ),
inference(superposition,[],[f592,f673]) ).
fof(f673,plain,
( nil = app(sF76,sK60)
| ~ spl78_2 ),
inference(backward_demodulation,[],[f667,f632]) ).
fof(f632,plain,
( nil = sK55
| ~ spl78_2 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f630,plain,
( spl78_2
<=> nil = sK55 ),
introduced(avatar_definition,[new_symbols(naming,[spl78_2])]) ).
fof(f592,plain,
! [X0,X1] :
( sP72(app(X0,X1))
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(inequality_splitting,[],[f535,f591]) ).
fof(f535,plain,
! [X0,X1] :
( nil = X0
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f1095,plain,
( sP72(sF76)
| ~ spl78_36 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f1093,plain,
( spl78_36
<=> sP72(sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_36])]) ).
fof(f1118,plain,
( ~ spl78_2
| spl78_15
| ~ spl78_18
| ~ spl78_35 ),
inference(avatar_contradiction_clause,[],[f1117]) ).
fof(f1117,plain,
( $false
| ~ spl78_2
| spl78_15
| ~ spl78_18
| ~ spl78_35 ),
inference(subsumption_resolution,[],[f1113,f521]) ).
fof(f521,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).
fof(f1113,plain,
( ~ duplicatefreeP(nil)
| ~ spl78_2
| spl78_15
| ~ spl78_18
| ~ spl78_35 ),
inference(backward_demodulation,[],[f1103,f1109]) ).
fof(f1109,plain,
( nil = app(nil,sF75)
| ~ spl78_2
| ~ spl78_18
| ~ spl78_35 ),
inference(backward_demodulation,[],[f1100,f1091]) ).
fof(f1100,plain,
( nil = app(sK59,sF75)
| ~ spl78_2
| ~ spl78_18 ),
inference(backward_demodulation,[],[f617,f1099]) ).
fof(f1103,plain,
( ~ duplicatefreeP(app(nil,sF75))
| ~ spl78_2
| spl78_15
| ~ spl78_18 ),
inference(backward_demodulation,[],[f734,f1099]) ).
fof(f1096,plain,
( spl78_35
| spl78_36
| ~ spl78_18 ),
inference(avatar_split_clause,[],[f1087,f794,f1093,f1089]) ).
fof(f1087,plain,
( sP72(sF76)
| nil = sK59
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f1086,f558]) ).
fof(f1086,plain,
( sP72(sF76)
| nil = sK59
| ~ ssList(sK59)
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f1082,f795]) ).
fof(f1082,plain,
( sP72(sF76)
| nil = sK59
| ~ ssList(sF75)
| ~ ssList(sK59) ),
inference(superposition,[],[f592,f617]) ).
fof(f880,plain,
( ~ spl78_14
| ~ spl78_15 ),
inference(avatar_split_clause,[],[f879,f732,f728]) ).
fof(f728,plain,
( spl78_14
<=> ssList(app(sF76,sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_14])]) ).
fof(f879,plain,
( ~ duplicatefreeP(app(sF76,sF75))
| ~ ssList(app(sF76,sF75)) ),
inference(subsumption_resolution,[],[f739,f444]) ).
fof(f739,plain,
( ~ duplicatefreeP(app(sF76,sF75))
| ~ ssList(nil)
| ~ ssList(app(sF76,sF75)) ),
inference(superposition,[],[f738,f616]) ).
fof(f738,plain,
! [X0] :
( ~ duplicatefreeP(app(sF76,cons(sK58,X0)))
| ~ ssList(X0)
| ~ ssList(app(sF76,cons(sK58,X0))) ),
inference(subsumption_resolution,[],[f736,f558]) ).
fof(f736,plain,
! [X0] :
( ~ duplicatefreeP(app(sF76,cons(sK58,X0)))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sF76,cons(sK58,X0))) ),
inference(superposition,[],[f715,f617]) ).
fof(f715,plain,
! [X0,X1] :
( ~ duplicatefreeP(app(app(X0,sF75),cons(sK58,X1)))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,sF75),cons(sK58,X1))) ),
inference(subsumption_resolution,[],[f714,f557]) ).
fof(f714,plain,
! [X0,X1] :
( ~ duplicatefreeP(app(app(X0,sF75),cons(sK58,X1)))
| ~ ssList(X0)
| ~ ssItem(sK58)
| ~ ssList(X1)
| ~ ssList(app(app(X0,sF75),cons(sK58,X1))) ),
inference(subsumption_resolution,[],[f708,f444]) ).
fof(f708,plain,
! [X0,X1] :
( ~ duplicatefreeP(app(app(X0,sF75),cons(sK58,X1)))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK58)
| ~ ssList(X1)
| ~ ssList(app(app(X0,sF75),cons(sK58,X1))) ),
inference(superposition,[],[f624,f616]) ).
fof(f624,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,[],[f426]) ).
fof(f426,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(f876,plain,
( spl78_14
| ~ spl78_18 ),
inference(avatar_contradiction_clause,[],[f875]) ).
fof(f875,plain,
( $false
| spl78_14
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f874,f558]) ).
fof(f874,plain,
( ~ ssList(sK59)
| spl78_14
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f873,f795]) ).
fof(f873,plain,
( ~ ssList(sF75)
| ~ ssList(sK59)
| spl78_14
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f865,f870]) ).
fof(f870,plain,
( ~ ssList(sF76)
| spl78_14
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f861,f795]) ).
fof(f861,plain,
( ~ ssList(sF75)
| ~ ssList(sF76)
| spl78_14 ),
inference(resolution,[],[f456,f730]) ).
fof(f730,plain,
( ~ ssList(app(sF76,sF75))
| spl78_14 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f846,plain,
spl78_18,
inference(avatar_split_clause,[],[f845,f794]) ).
fof(f845,plain,
ssList(sF75),
inference(subsumption_resolution,[],[f844,f444]) ).
fof(f844,plain,
( ssList(sF75)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f839,f557]) ).
fof(f839,plain,
( ssList(sF75)
| ~ ssItem(sK58)
| ~ ssList(nil) ),
inference(superposition,[],[f443,f616]) ).
fof(f443,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(f665,plain,
( spl78_7
| spl78_8 ),
inference(avatar_split_clause,[],[f561,f662,f658]) ).
fof(f561,plain,
( memberP(sK60,sK58)
| memberP(sK59,sK58) ),
inference(cnf_transformation,[],[f351]) ).
fof(f648,plain,
( spl78_5
| spl78_2 ),
inference(avatar_split_clause,[],[f566,f630,f645]) ).
fof(f566,plain,
( nil = sK55
| ssItem(sK57) ),
inference(cnf_transformation,[],[f351]) ).
fof(f643,plain,
( spl78_4
| spl78_2 ),
inference(avatar_split_clause,[],[f614,f630,f640]) ).
fof(f614,plain,
( nil = sK55
| sK55 = sF74 ),
inference(definition_folding,[],[f567,f613]) ).
fof(f567,plain,
( nil = sK55
| sK55 = cons(sK57,nil) ),
inference(cnf_transformation,[],[f351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC183+1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.13 % 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
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 03:35:22 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34 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
% 0.65/0.83 % (29439)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.65/0.83 % (29440)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.65/0.83 % (29441)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 (2995ds/34Mi)
% 0.65/0.83 % (29437)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 (2995ds/34Mi)
% 0.65/0.83 % (29438)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 (2995ds/51Mi)
% 0.65/0.83 % (29442)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.65/0.83 % (29443)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 (2995ds/83Mi)
% 0.65/0.83 % (29444)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 (2995ds/56Mi)
% 0.65/0.83 % (29444)Refutation not found, incomplete strategy% (29444)------------------------------
% 0.65/0.83 % (29444)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83 % (29444)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.83
% 0.65/0.83 % (29444)Memory used [KB]: 1168
% 0.65/0.83 % (29444)Time elapsed: 0.004 s
% 0.65/0.83 % (29444)Instructions burned: 5 (million)
% 0.65/0.83 % (29444)------------------------------
% 0.65/0.83 % (29444)------------------------------
% 0.65/0.84 % (29445)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 (2995ds/55Mi)
% 0.65/0.84 % (29441)Refutation not found, incomplete strategy% (29441)------------------------------
% 0.65/0.84 % (29441)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84 % (29441)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.84
% 0.65/0.84 % (29441)Memory used [KB]: 1538
% 0.65/0.84 % (29441)Time elapsed: 0.014 s
% 0.65/0.84 % (29441)Instructions burned: 21 (million)
% 0.65/0.84 % (29441)------------------------------
% 0.65/0.84 % (29441)------------------------------
% 0.65/0.85 % (29446)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 (2995ds/50Mi)
% 0.65/0.85 % (29440)Instruction limit reached!
% 0.65/0.85 % (29440)------------------------------
% 0.65/0.85 % (29440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.85 % (29440)Termination reason: Unknown
% 0.65/0.85 % (29440)Termination phase: Saturation
% 0.65/0.85
% 0.65/0.85 % (29440)Memory used [KB]: 1697
% 0.65/0.85 % (29440)Time elapsed: 0.023 s
% 0.65/0.85 % (29440)Instructions burned: 34 (million)
% 0.65/0.85 % (29440)------------------------------
% 0.65/0.85 % (29440)------------------------------
% 0.65/0.85 % (29437)Instruction limit reached!
% 0.65/0.85 % (29437)------------------------------
% 0.65/0.85 % (29437)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.85 % (29437)Termination reason: Unknown
% 0.65/0.85 % (29437)Termination phase: Saturation
% 0.65/0.85
% 0.65/0.85 % (29437)Memory used [KB]: 1528
% 0.65/0.85 % (29437)Time elapsed: 0.024 s
% 0.65/0.85 % (29437)Instructions burned: 34 (million)
% 0.65/0.85 % (29437)------------------------------
% 0.65/0.85 % (29437)------------------------------
% 0.65/0.86 % (29447)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 (2994ds/208Mi)
% 0.65/0.86 % (29448)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 (2994ds/52Mi)
% 0.65/0.86 % (29442)Instruction limit reached!
% 0.65/0.86 % (29442)------------------------------
% 0.65/0.86 % (29442)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.86 % (29442)Termination reason: Unknown
% 0.65/0.86 % (29442)Termination phase: Saturation
% 0.65/0.86
% 0.65/0.86 % (29442)Memory used [KB]: 1644
% 0.65/0.86 % (29442)Time elapsed: 0.031 s
% 0.65/0.86 % (29442)Instructions burned: 45 (million)
% 0.65/0.86 % (29442)------------------------------
% 0.65/0.86 % (29442)------------------------------
% 0.76/0.86 % (29449)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 (2994ds/518Mi)
% 0.76/0.86 % (29438)Instruction limit reached!
% 0.76/0.86 % (29438)------------------------------
% 0.76/0.86 % (29438)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.86 % (29438)Termination reason: Unknown
% 0.76/0.86 % (29438)Termination phase: Saturation
% 0.76/0.86
% 0.76/0.86 % (29438)Memory used [KB]: 1999
% 0.76/0.86 % (29438)Time elapsed: 0.036 s
% 0.76/0.86 % (29438)Instructions burned: 51 (million)
% 0.76/0.86 % (29438)------------------------------
% 0.76/0.86 % (29438)------------------------------
% 0.76/0.87 % (29445)Instruction limit reached!
% 0.76/0.87 % (29445)------------------------------
% 0.76/0.87 % (29445)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.87 % (29445)Termination reason: Unknown
% 0.76/0.87 % (29445)Termination phase: Saturation
% 0.76/0.87
% 0.76/0.87 % (29445)Memory used [KB]: 2130
% 0.76/0.87 % (29445)Time elapsed: 0.030 s
% 0.76/0.87 % (29445)Instructions burned: 55 (million)
% 0.76/0.87 % (29445)------------------------------
% 0.76/0.87 % (29445)------------------------------
% 0.76/0.87 % (29450)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 (2994ds/42Mi)
% 0.76/0.87 % (29452)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 (2994ds/243Mi)
% 0.76/0.88 % (29439)Instruction limit reached!
% 0.76/0.88 % (29439)------------------------------
% 0.76/0.88 % (29439)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.88 % (29439)Termination reason: Unknown
% 0.76/0.88 % (29439)Termination phase: Saturation
% 0.76/0.88
% 0.76/0.88 % (29439)Memory used [KB]: 2085
% 0.76/0.88 % (29439)Time elapsed: 0.049 s
% 0.76/0.88 % (29439)Instructions burned: 79 (million)
% 0.76/0.88 % (29439)------------------------------
% 0.76/0.88 % (29439)------------------------------
% 0.76/0.88 % (29446)Instruction limit reached!
% 0.76/0.88 % (29446)------------------------------
% 0.76/0.88 % (29446)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.88 % (29446)Termination reason: Unknown
% 0.76/0.88 % (29446)Termination phase: Saturation
% 0.76/0.88
% 0.76/0.88 % (29446)Memory used [KB]: 1921
% 0.76/0.88 % (29446)Time elapsed: 0.032 s
% 0.76/0.88 % (29446)Instructions burned: 51 (million)
% 0.76/0.88 % (29446)------------------------------
% 0.76/0.88 % (29446)------------------------------
% 0.76/0.88 % (29443)Instruction limit reached!
% 0.76/0.88 % (29443)------------------------------
% 0.76/0.88 % (29443)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.88 % (29443)Termination reason: Unknown
% 0.76/0.88 % (29443)Termination phase: Saturation
% 0.76/0.88
% 0.76/0.88 % (29443)Memory used [KB]: 2072
% 0.76/0.88 % (29443)Time elapsed: 0.052 s
% 0.76/0.88 % (29443)Instructions burned: 83 (million)
% 0.76/0.88 % (29443)------------------------------
% 0.76/0.88 % (29443)------------------------------
% 0.76/0.88 % (29453)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 (2994ds/117Mi)
% 0.76/0.88 % (29454)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 (2994ds/143Mi)
% 0.76/0.88 % (29455)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 (2994ds/93Mi)
% 0.76/0.89 % (29448)Instruction limit reached!
% 0.76/0.89 % (29448)------------------------------
% 0.76/0.89 % (29448)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.89 % (29448)Termination reason: Unknown
% 0.76/0.89 % (29448)Termination phase: Saturation
% 0.76/0.89
% 0.76/0.89 % (29448)Memory used [KB]: 1923
% 0.76/0.89 % (29448)Time elapsed: 0.038 s
% 0.76/0.89 % (29448)Instructions burned: 53 (million)
% 0.76/0.89 % (29448)------------------------------
% 0.76/0.89 % (29448)------------------------------
% 0.76/0.89 % (29450)Instruction limit reached!
% 0.76/0.89 % (29450)------------------------------
% 0.76/0.89 % (29450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.89 % (29450)Termination reason: Unknown
% 0.76/0.89 % (29450)Termination phase: Saturation
% 0.76/0.89
% 0.76/0.89 % (29450)Memory used [KB]: 2065
% 0.76/0.89 % (29450)Time elapsed: 0.029 s
% 0.76/0.89 % (29450)Instructions burned: 42 (million)
% 0.76/0.89 % (29450)------------------------------
% 0.76/0.89 % (29450)------------------------------
% 0.76/0.90 % (29456)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 (2994ds/62Mi)
% 0.76/0.90 % (29457)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 (2994ds/32Mi)
% 0.76/0.92 % (29457)Instruction limit reached!
% 0.76/0.92 % (29457)------------------------------
% 0.76/0.92 % (29457)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.92 % (29457)Termination reason: Unknown
% 0.76/0.92 % (29457)Termination phase: Saturation
% 0.76/0.92
% 0.76/0.92 % (29457)Memory used [KB]: 1511
% 0.76/0.92 % (29457)Time elapsed: 0.023 s
% 0.76/0.92 % (29457)Instructions burned: 33 (million)
% 0.76/0.92 % (29457)------------------------------
% 0.76/0.92 % (29457)------------------------------
% 0.76/0.93 % (29458)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 (2994ds/1919Mi)
% 0.76/0.93 % (29453)Instruction limit reached!
% 0.76/0.93 % (29453)------------------------------
% 0.76/0.93 % (29453)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.93 % (29453)Termination reason: Unknown
% 0.76/0.93 % (29453)Termination phase: Saturation
% 0.76/0.93
% 0.76/0.93 % (29453)Memory used [KB]: 1430
% 0.76/0.93 % (29453)Time elapsed: 0.054 s
% 0.76/0.93 % (29453)Instructions burned: 118 (million)
% 0.76/0.93 % (29453)------------------------------
% 0.76/0.93 % (29453)------------------------------
% 1.12/0.93 % (29456)Instruction limit reached!
% 1.12/0.93 % (29456)------------------------------
% 1.12/0.93 % (29456)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.12/0.93 % (29456)Termination reason: Unknown
% 1.12/0.93 % (29456)Termination phase: Saturation
% 1.12/0.93
% 1.12/0.93 % (29456)Memory used [KB]: 2286
% 1.12/0.93 % (29456)Time elapsed: 0.040 s
% 1.12/0.93 % (29456)Instructions burned: 62 (million)
% 1.12/0.93 % (29456)------------------------------
% 1.12/0.93 % (29456)------------------------------
% 1.12/0.94 % (29459)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 (2994ds/55Mi)
% 1.12/0.94 % (29460)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 (2994ds/53Mi)
% 1.12/0.95 % (29455)Instruction limit reached!
% 1.12/0.95 % (29455)------------------------------
% 1.12/0.95 % (29455)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.12/0.95 % (29455)Termination reason: Unknown
% 1.12/0.95 % (29455)Termination phase: Saturation
% 1.12/0.95
% 1.12/0.95 % (29455)Memory used [KB]: 2146
% 1.12/0.95 % (29455)Time elapsed: 0.066 s
% 1.12/0.95 % (29455)Instructions burned: 93 (million)
% 1.12/0.95 % (29455)------------------------------
% 1.12/0.95 % (29455)------------------------------
% 1.12/0.95 % (29461)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 (2994ds/46Mi)
% 1.12/0.97 % (29459)Instruction limit reached!
% 1.12/0.97 % (29459)------------------------------
% 1.12/0.97 % (29459)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.12/0.97 % (29459)Termination reason: Unknown
% 1.12/0.97 % (29459)Termination phase: Saturation
% 1.12/0.97
% 1.12/0.97 % (29459)Memory used [KB]: 2369
% 1.12/0.97 % (29459)Time elapsed: 0.030 s
% 1.12/0.97 % (29459)Instructions burned: 55 (million)
% 1.12/0.97 % (29459)------------------------------
% 1.12/0.97 % (29459)------------------------------
% 1.26/0.97 % (29462)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 (2993ds/102Mi)
% 1.26/0.97 % (29460)Instruction limit reached!
% 1.26/0.97 % (29460)------------------------------
% 1.26/0.97 % (29460)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.26/0.97 % (29460)Termination reason: Unknown
% 1.26/0.97 % (29460)Termination phase: Saturation
% 1.26/0.97
% 1.26/0.97 % (29460)Memory used [KB]: 2016
% 1.26/0.97 % (29460)Time elapsed: 0.035 s
% 1.26/0.97 % (29460)Instructions burned: 54 (million)
% 1.26/0.97 % (29460)------------------------------
% 1.26/0.97 % (29460)------------------------------
% 1.26/0.97 % (29454)Instruction limit reached!
% 1.26/0.97 % (29454)------------------------------
% 1.26/0.97 % (29454)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.26/0.97 % (29454)Termination reason: Unknown
% 1.26/0.97 % (29454)Termination phase: Saturation
% 1.26/0.97
% 1.26/0.97 % (29454)Memory used [KB]: 3457
% 1.26/0.97 % (29454)Time elapsed: 0.095 s
% 1.26/0.97 % (29454)Instructions burned: 143 (million)
% 1.26/0.97 % (29454)------------------------------
% 1.26/0.97 % (29454)------------------------------
% 1.26/0.98 % (29463)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 (2993ds/35Mi)
% 1.26/0.98 % (29464)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2993ds/87Mi)
% 1.26/0.98 % (29461)Instruction limit reached!
% 1.26/0.98 % (29461)------------------------------
% 1.26/0.98 % (29461)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.26/0.98 % (29461)Termination reason: Unknown
% 1.26/0.98 % (29461)Termination phase: Saturation
% 1.26/0.98
% 1.26/0.98 % (29461)Memory used [KB]: 2271
% 1.26/0.98 % (29461)Time elapsed: 0.033 s
% 1.26/0.98 % (29461)Instructions burned: 47 (million)
% 1.26/0.98 % (29461)------------------------------
% 1.26/0.98 % (29461)------------------------------
% 1.26/0.99 % (29447)Instruction limit reached!
% 1.26/0.99 % (29447)------------------------------
% 1.26/0.99 % (29447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.26/0.99 % (29465)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 (2993ds/109Mi)
% 1.26/0.99 % (29447)Termination reason: Unknown
% 1.26/0.99 % (29447)Termination phase: Saturation
% 1.26/0.99
% 1.26/0.99 % (29447)Memory used [KB]: 2783
% 1.26/0.99 % (29447)Time elapsed: 0.135 s
% 1.26/0.99 % (29447)Instructions burned: 208 (million)
% 1.26/0.99 % (29447)------------------------------
% 1.26/0.99 % (29447)------------------------------
% 1.26/0.99 % (29466)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 (2993ds/161Mi)
% 1.26/1.00 % (29463)Instruction limit reached!
% 1.26/1.00 % (29463)------------------------------
% 1.26/1.00 % (29463)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.26/1.00 % (29463)Termination reason: Unknown
% 1.26/1.00 % (29463)Termination phase: Saturation
% 1.26/1.00
% 1.26/1.00 % (29463)Memory used [KB]: 1544
% 1.26/1.00 % (29463)Time elapsed: 0.024 s
% 1.26/1.00 % (29463)Instructions burned: 36 (million)
% 1.26/1.00 % (29463)------------------------------
% 1.26/1.00 % (29463)------------------------------
% 1.26/1.00 % (29466)Refutation not found, incomplete strategy% (29466)------------------------------
% 1.26/1.00 % (29466)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.26/1.00 % (29466)Termination reason: Refutation not found, incomplete strategy
% 1.26/1.00
% 1.26/1.00 % (29466)Memory used [KB]: 1259
% 1.26/1.00 % (29466)Time elapsed: 0.007 s
% 1.26/1.00 % (29466)Instructions burned: 8 (million)
% 1.26/1.00 % (29466)------------------------------
% 1.26/1.00 % (29466)------------------------------
% 1.26/1.00 % (29467)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 (2993ds/69Mi)
% 1.26/1.00 % (29468)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 (2993ds/40Mi)
% 1.26/1.00 % (29452)Instruction limit reached!
% 1.26/1.00 % (29452)------------------------------
% 1.26/1.00 % (29452)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.26/1.00 % (29452)Termination reason: Unknown
% 1.26/1.00 % (29452)Termination phase: Saturation
% 1.26/1.00
% 1.26/1.00 % (29452)Memory used [KB]: 2921
% 1.26/1.00 % (29452)Time elapsed: 0.135 s
% 1.26/1.00 % (29452)Instructions burned: 243 (million)
% 1.26/1.00 % (29452)------------------------------
% 1.26/1.00 % (29452)------------------------------
% 1.26/1.01 % (29469)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 (2993ds/360Mi)
% 1.73/1.03 % (29468)Instruction limit reached!
% 1.73/1.03 % (29468)------------------------------
% 1.73/1.03 % (29468)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.73/1.03 % (29468)Termination reason: Unknown
% 1.73/1.03 % (29468)Termination phase: Saturation
% 1.73/1.03
% 1.73/1.03 % (29468)Memory used [KB]: 1516
% 1.73/1.03 % (29468)Time elapsed: 0.030 s
% 1.73/1.03 % (29468)Instructions burned: 41 (million)
% 1.73/1.03 % (29468)------------------------------
% 1.73/1.03 % (29468)------------------------------
% 1.73/1.03 % (29464)Instruction limit reached!
% 1.73/1.03 % (29464)------------------------------
% 1.73/1.03 % (29464)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.73/1.03 % (29464)Termination reason: Unknown
% 1.73/1.03 % (29464)Termination phase: Saturation
% 1.73/1.03
% 1.73/1.03 % (29464)Memory used [KB]: 2835
% 1.73/1.03 % (29464)Time elapsed: 0.056 s
% 1.73/1.03 % (29464)Instructions burned: 88 (million)
% 1.73/1.03 % (29464)------------------------------
% 1.73/1.03 % (29464)------------------------------
% 1.73/1.04 % (29470)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 (2993ds/161Mi)
% 1.73/1.04 % (29462)Instruction limit reached!
% 1.73/1.04 % (29462)------------------------------
% 1.73/1.04 % (29462)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.73/1.04 % (29462)Termination reason: Unknown
% 1.73/1.04 % (29462)Termination phase: Saturation
% 1.73/1.04
% 1.73/1.04 % (29462)Memory used [KB]: 3003
% 1.73/1.04 % (29462)Time elapsed: 0.068 s
% 1.73/1.04 % (29462)Instructions burned: 103 (million)
% 1.73/1.04 % (29462)------------------------------
% 1.73/1.04 % (29462)------------------------------
% 1.73/1.04 % (29471)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 (2993ds/80Mi)
% 1.73/1.04 % (29472)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 (2993ds/37Mi)
% 1.73/1.04 % (29467)Instruction limit reached!
% 1.73/1.04 % (29467)------------------------------
% 1.73/1.04 % (29467)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.73/1.04 % (29467)Termination reason: Unknown
% 1.73/1.04 % (29467)Termination phase: Saturation
% 1.73/1.04
% 1.73/1.04 % (29467)Memory used [KB]: 2142
% 1.73/1.04 % (29467)Time elapsed: 0.043 s
% 1.73/1.04 % (29467)Instructions burned: 69 (million)
% 1.73/1.04 % (29467)------------------------------
% 1.73/1.04 % (29467)------------------------------
% 1.73/1.05 % (29473)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 (2992ds/55Mi)
% 1.73/1.06 % (29465)Instruction limit reached!
% 1.73/1.06 % (29465)------------------------------
% 1.73/1.06 % (29465)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.73/1.06 % (29465)Termination reason: Unknown
% 1.73/1.06 % (29465)Termination phase: Saturation
% 1.73/1.06
% 1.73/1.06 % (29465)Memory used [KB]: 2551
% 1.73/1.06 % (29465)Time elapsed: 0.072 s
% 1.73/1.06 % (29465)Instructions burned: 109 (million)
% 1.73/1.06 % (29465)------------------------------
% 1.73/1.06 % (29465)------------------------------
% 1.73/1.06 % (29472)Instruction limit reached!
% 1.73/1.06 % (29472)------------------------------
% 1.73/1.06 % (29472)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.73/1.06 % (29472)Termination reason: Unknown
% 1.73/1.06 % (29472)Termination phase: Saturation
% 1.73/1.06
% 1.73/1.06 % (29472)Memory used [KB]: 1860
% 1.73/1.06 % (29472)Time elapsed: 0.024 s
% 1.73/1.06 % (29472)Instructions burned: 37 (million)
% 1.73/1.06 % (29472)------------------------------
% 1.73/1.06 % (29472)------------------------------
% 1.73/1.06 % (29474)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 (2992ds/47Mi)
% 1.73/1.07 % (29475)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2992ds/32Mi)
% 1.73/1.08 % (29475)Instruction limit reached!
% 1.73/1.08 % (29475)------------------------------
% 1.73/1.08 % (29475)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.73/1.08 % (29475)Termination reason: Unknown
% 1.73/1.08 % (29475)Termination phase: Saturation
% 1.73/1.08
% 1.73/1.08 % (29475)Memory used [KB]: 1491
% 1.73/1.08 % (29475)Time elapsed: 0.019 s
% 1.73/1.08 % (29475)Instructions burned: 32 (million)
% 1.73/1.08 % (29475)------------------------------
% 1.73/1.08 % (29475)------------------------------
% 2.58/1.09 % (29476)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 (2992ds/132Mi)
% 2.58/1.09 % (29471)Instruction limit reached!
% 2.58/1.09 % (29471)------------------------------
% 2.58/1.09 % (29471)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.58/1.09 % (29471)Termination reason: Unknown
% 2.58/1.09 % (29471)Termination phase: Saturation
% 2.58/1.09
% 2.58/1.09 % (29471)Memory used [KB]: 1669
% 2.58/1.09 % (29471)Time elapsed: 0.074 s
% 2.58/1.09 % (29471)Instructions burned: 81 (million)
% 2.58/1.09 % (29471)------------------------------
% 2.58/1.09 % (29471)------------------------------
% 2.58/1.09 % (29477)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 (2992ds/54Mi)
% 2.58/1.10 % (29474)Instruction limit reached!
% 2.58/1.10 % (29474)------------------------------
% 2.58/1.10 % (29474)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.58/1.10 % (29474)Termination reason: Unknown
% 2.58/1.10 % (29474)Termination phase: Saturation
% 2.58/1.10
% 2.58/1.10 % (29474)Memory used [KB]: 2170
% 2.58/1.10 % (29474)Time elapsed: 0.035 s
% 2.58/1.10 % (29474)Instructions burned: 47 (million)
% 2.58/1.10 % (29474)------------------------------
% 2.58/1.10 % (29474)------------------------------
% 2.58/1.10 % (29478)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 (2992ds/82Mi)
% 2.58/1.11 % (29473)Instruction limit reached!
% 2.58/1.11 % (29473)------------------------------
% 2.58/1.11 % (29473)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.58/1.11 % (29473)Termination reason: Unknown
% 2.58/1.11 % (29473)Termination phase: Saturation
% 2.58/1.11
% 2.58/1.11 % (29473)Memory used [KB]: 1704
% 2.58/1.11 % (29473)Time elapsed: 0.043 s
% 2.58/1.11 % (29473)Instructions burned: 55 (million)
% 2.58/1.11 % (29473)------------------------------
% 2.58/1.11 % (29473)------------------------------
% 2.58/1.11 % (29479)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 (2992ds/119Mi)
% 2.58/1.13 % (29469)First to succeed.
% 2.58/1.13 % (29477)Instruction limit reached!
% 2.58/1.13 % (29477)------------------------------
% 2.58/1.13 % (29477)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.58/1.13 % (29477)Termination reason: Unknown
% 2.58/1.13 % (29477)Termination phase: Saturation
% 2.58/1.13
% 2.58/1.13 % (29477)Memory used [KB]: 2103
% 2.58/1.13 % (29477)Time elapsed: 0.037 s
% 2.58/1.13 % (29477)Instructions burned: 55 (million)
% 2.58/1.13 % (29477)------------------------------
% 2.58/1.13 % (29477)------------------------------
% 2.58/1.13 % (29480)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 (2992ds/177Mi)
% 2.58/1.13 % (29469)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29436"
% 2.58/1.13 % (29469)Refutation found. Thanks to Tanya!
% 2.58/1.13 % SZS status Theorem for theBenchmark
% 2.58/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 2.58/1.14 % (29469)------------------------------
% 2.58/1.14 % (29469)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.58/1.14 % (29469)Termination reason: Refutation
% 2.58/1.14
% 2.58/1.14 % (29469)Memory used [KB]: 3205
% 2.58/1.14 % (29469)Time elapsed: 0.148 s
% 2.58/1.14 % (29469)Instructions burned: 214 (million)
% 2.58/1.14 % (29436)Success in time 0.792 s
% 2.58/1.14 % Vampire---4.8 exiting
%------------------------------------------------------------------------------