TSTP Solution File: PRO018+1 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : PRO018+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n017.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 : Mon Jun 24 13:41:56 EDT 2024
% Result : Theorem 6.14s 1.23s
% Output : Refutation 6.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 41
% Syntax : Number of formulae : 181 ( 17 unt; 0 def)
% Number of atoms : 759 ( 44 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 888 ( 310 ~; 323 |; 197 &)
% ( 31 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 21 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 267 ( 195 !; 72 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27121,plain,
$false,
inference(avatar_sat_refutation,[],[f356,f374,f380,f382,f405,f408,f417,f427,f432,f482,f487,f520,f1977,f1988,f2993,f3012,f4722,f4828,f25344,f26176,f27120]) ).
fof(f27120,plain,
( ~ spl22_12
| ~ spl22_19
| ~ spl22_523 ),
inference(avatar_contradiction_clause,[],[f27119]) ).
fof(f27119,plain,
( $false
| ~ spl22_12
| ~ spl22_19
| ~ spl22_523 ),
inference(trivial_inequality_removal,[],[f27118]) ).
fof(f27118,plain,
( tptp3 != tptp3
| ~ spl22_12
| ~ spl22_19
| ~ spl22_523 ),
inference(superposition,[],[f207,f27038]) ).
fof(f27038,plain,
( tptp3 = tptp1
| ~ spl22_12
| ~ spl22_19
| ~ spl22_523 ),
inference(resolution,[],[f26973,f26379]) ).
fof(f26379,plain,
( occurrence_of(sK10(sK2),tptp3)
| ~ spl22_19
| ~ spl22_523 ),
inference(backward_demodulation,[],[f478,f4717]) ).
fof(f4717,plain,
( sK10(sK2) = sK8(sK8(sK2))
| ~ spl22_523 ),
inference(avatar_component_clause,[],[f4715]) ).
fof(f4715,plain,
( spl22_523
<=> sK10(sK2) = sK8(sK8(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_523])]) ).
fof(f478,plain,
( occurrence_of(sK8(sK8(sK2)),tptp3)
| ~ spl22_19 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f476,plain,
( spl22_19
<=> occurrence_of(sK8(sK8(sK2)),tptp3) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_19])]) ).
fof(f26973,plain,
( ! [X0] :
( ~ occurrence_of(sK10(sK2),X0)
| tptp1 = X0 )
| ~ spl22_12 ),
inference(resolution,[],[f416,f267]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& occurrence_of(X0,X1) )
=> X1 = X2 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X4,X5,X6] :
( ( occurrence_of(X4,X6)
& occurrence_of(X4,X5) )
=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f416,plain,
( occurrence_of(sK10(sK2),tptp1)
| ~ spl22_12 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f414,plain,
( spl22_12
<=> occurrence_of(sK10(sK2),tptp1) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_12])]) ).
fof(f207,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f26176,plain,
( ~ spl22_8
| ~ spl22_19
| ~ spl22_524 ),
inference(avatar_contradiction_clause,[],[f26175]) ).
fof(f26175,plain,
( $false
| ~ spl22_8
| ~ spl22_19
| ~ spl22_524 ),
inference(trivial_inequality_removal,[],[f26174]) ).
fof(f26174,plain,
( tptp3 != tptp3
| ~ spl22_8
| ~ spl22_19
| ~ spl22_524 ),
inference(superposition,[],[f206,f26031]) ).
fof(f26031,plain,
( tptp3 = tptp4
| ~ spl22_8
| ~ spl22_19
| ~ spl22_524 ),
inference(resolution,[],[f25575,f593]) ).
fof(f593,plain,
( ! [X0] :
( ~ occurrence_of(sK9(sK2),X0)
| tptp4 = X0 )
| ~ spl22_8 ),
inference(resolution,[],[f379,f267]) ).
fof(f379,plain,
( occurrence_of(sK9(sK2),tptp4)
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f377,plain,
( spl22_8
<=> occurrence_of(sK9(sK2),tptp4) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).
fof(f25575,plain,
( occurrence_of(sK9(sK2),tptp3)
| ~ spl22_19
| ~ spl22_524 ),
inference(forward_demodulation,[],[f478,f4721]) ).
fof(f4721,plain,
( sK9(sK2) = sK8(sK8(sK2))
| ~ spl22_524 ),
inference(avatar_component_clause,[],[f4719]) ).
fof(f4719,plain,
( spl22_524
<=> sK9(sK2) = sK8(sK8(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_524])]) ).
fof(f206,plain,
tptp3 != tptp4,
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
tptp3 != tptp4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f25344,plain,
( ~ spl22_324
| spl22_67
| ~ spl22_15
| ~ spl22_324 ),
inference(avatar_split_clause,[],[f25343,f2986,f429,f817,f2986]) ).
fof(f817,plain,
( spl22_67
<=> leaf(sK8(sK2),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_67])]) ).
fof(f429,plain,
( spl22_15
<=> next_subocc(sK2,sK8(sK2),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_15])]) ).
fof(f2986,plain,
( spl22_324
<=> leaf_occ(sK8(sK2),sK17(tptp0,sK2,sK8(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_324])]) ).
fof(f25343,plain,
( leaf(sK8(sK2),tptp0)
| ~ leaf_occ(sK8(sK2),sK17(tptp0,sK2,sK8(sK2)))
| ~ spl22_15
| ~ spl22_324 ),
inference(superposition,[],[f246,f24525]) ).
fof(f24525,plain,
( tptp0 = sK14(sK8(sK2),sK17(tptp0,sK2,sK8(sK2)))
| ~ spl22_15
| ~ spl22_324 ),
inference(resolution,[],[f3585,f1413]) ).
fof(f1413,plain,
( ! [X0] :
( ~ occurrence_of(sK17(tptp0,sK2,sK8(sK2)),X0)
| tptp0 = X0 )
| ~ spl22_15 ),
inference(resolution,[],[f808,f267]) ).
fof(f808,plain,
( occurrence_of(sK17(tptp0,sK2,sK8(sK2)),tptp0)
| ~ spl22_15 ),
inference(resolution,[],[f617,f257]) ).
fof(f257,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK17(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ( subactivity_occurrence(X2,sK17(X0,X1,X2))
& subactivity_occurrence(X1,sK17(X0,X1,X2))
& occurrence_of(sK17(X0,X1,X2),X0) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f113,f174]) ).
fof(f174,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
=> ( subactivity_occurrence(X2,sK17(X0,X1,X2))
& subactivity_occurrence(X1,sK17(X0,X1,X2))
& occurrence_of(sK17(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ min_precedes(X1,X2,X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X69,X70,X71] :
( min_precedes(X70,X71,X69)
=> ? [X72] :
( subactivity_occurrence(X71,X72)
& subactivity_occurrence(X70,X72)
& occurrence_of(X72,X69) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f617,plain,
( min_precedes(sK2,sK8(sK2),tptp0)
| ~ spl22_15 ),
inference(resolution,[],[f431,f268]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ( min_precedes(sK20(X0,X1,X2),X1,X2)
& min_precedes(X0,sK20(X0,X1,X2),X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) )
& min_precedes(X0,X1,X2) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f180,f181]) ).
fof(f181,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
=> ( min_precedes(sK20(X0,X1,X2),X1,X2)
& min_precedes(X0,sK20(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) )
& min_precedes(X0,X1,X2) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(rectify,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ~ ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X60,X61,X62] :
( next_subocc(X60,X61,X62)
<=> ( ~ ? [X63] :
( min_precedes(X63,X61,X62)
& min_precedes(X60,X63,X62) )
& min_precedes(X60,X61,X62) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f431,plain,
( next_subocc(sK2,sK8(sK2),tptp0)
| ~ spl22_15 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f3585,plain,
( occurrence_of(sK17(tptp0,sK2,sK8(sK2)),sK14(sK8(sK2),sK17(tptp0,sK2,sK8(sK2))))
| ~ spl22_324 ),
inference(resolution,[],[f2988,f244]) ).
fof(f244,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| occurrence_of(X1,sK14(X0,X1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ( leaf(X0,sK14(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK14(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f165,f166]) ).
fof(f166,plain,
! [X0,X1] :
( ? [X3] :
( leaf(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( leaf(X0,sK14(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ? [X3] :
( leaf(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
| ~ leaf_occ(X0,X1) ) ),
inference(rectify,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) )
| ~ leaf_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X102,X103] :
( leaf_occ(X102,X103)
<=> ? [X104] :
( leaf(X102,X104)
& subactivity_occurrence(X102,X103)
& occurrence_of(X103,X104) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2988,plain,
( leaf_occ(sK8(sK2),sK17(tptp0,sK2,sK8(sK2)))
| ~ spl22_324 ),
inference(avatar_component_clause,[],[f2986]) ).
fof(f246,plain,
! [X0,X1] :
( leaf(X0,sK14(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f4828,plain,
( ~ spl22_11
| ~ spl22_19
| ~ spl22_523 ),
inference(avatar_contradiction_clause,[],[f4827]) ).
fof(f4827,plain,
( $false
| ~ spl22_11
| ~ spl22_19
| ~ spl22_523 ),
inference(trivial_inequality_removal,[],[f4826]) ).
fof(f4826,plain,
( tptp3 != tptp3
| ~ spl22_11
| ~ spl22_19
| ~ spl22_523 ),
inference(superposition,[],[f208,f4774]) ).
fof(f4774,plain,
( tptp3 = tptp2
| ~ spl22_11
| ~ spl22_19
| ~ spl22_523 ),
inference(resolution,[],[f4732,f765]) ).
fof(f765,plain,
( ! [X0] :
( ~ occurrence_of(sK10(sK2),X0)
| tptp2 = X0 )
| ~ spl22_11 ),
inference(resolution,[],[f412,f267]) ).
fof(f412,plain,
( occurrence_of(sK10(sK2),tptp2)
| ~ spl22_11 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f410,plain,
( spl22_11
<=> occurrence_of(sK10(sK2),tptp2) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_11])]) ).
fof(f4732,plain,
( occurrence_of(sK10(sK2),tptp3)
| ~ spl22_19
| ~ spl22_523 ),
inference(backward_demodulation,[],[f478,f4717]) ).
fof(f208,plain,
tptp3 != tptp2,
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
tptp3 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4722,plain,
( ~ spl22_190
| spl22_4
| spl22_523
| spl22_524
| ~ spl22_21 ),
inference(avatar_split_clause,[],[f4699,f484,f4719,f4715,f354,f1938]) ).
fof(f1938,plain,
( spl22_190
<=> arboreal(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_190])]) ).
fof(f354,plain,
( spl22_4
<=> ! [X0] :
( leaf_occ(sK2,X0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).
fof(f484,plain,
( spl22_21
<=> next_subocc(sK8(sK2),sK8(sK8(sK2)),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_21])]) ).
fof(f4699,plain,
( ! [X0] :
( sK9(sK2) = sK8(sK8(sK2))
| sK10(sK2) = sK8(sK8(sK2))
| leaf_occ(sK2,X0)
| ~ arboreal(sK2)
| ~ subactivity_occurrence(sK2,X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl22_21 ),
inference(resolution,[],[f4563,f233]) ).
fof(f233,plain,
! [X0,X1,X5] :
( ~ min_precedes(sK8(X0),X5,tptp0)
| sK9(X0) = X5
| sK10(X0) = X5
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( ( ! [X5] :
( sK10(X0) = X5
| sK9(X0) = X5
| ~ min_precedes(sK8(X0),X5,tptp0) )
& min_precedes(sK9(X0),sK10(X0),tptp0)
& ( occurrence_of(sK10(X0),tptp2)
| occurrence_of(sK10(X0),tptp1) )
& min_precedes(sK8(X0),sK9(X0),tptp0)
& occurrence_of(sK9(X0),tptp4)
& next_subocc(X0,sK8(X0),tptp0)
& occurrence_of(sK8(X0),tptp3) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f103,f152]) ).
fof(f152,plain,
! [X0] :
( ? [X2,X3,X4] :
( ! [X5] :
( X4 = X5
| X3 = X5
| ~ min_precedes(X2,X5,tptp0) )
& min_precedes(X3,X4,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& min_precedes(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) )
=> ( ! [X5] :
( sK10(X0) = X5
| sK9(X0) = X5
| ~ min_precedes(sK8(X0),X5,tptp0) )
& min_precedes(sK9(X0),sK10(X0),tptp0)
& ( occurrence_of(sK10(X0),tptp2)
| occurrence_of(sK10(X0),tptp1) )
& min_precedes(sK8(X0),sK9(X0),tptp0)
& occurrence_of(sK9(X0),tptp4)
& next_subocc(X0,sK8(X0),tptp0)
& occurrence_of(sK8(X0),tptp3) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( ! [X5] :
( X4 = X5
| X3 = X5
| ~ min_precedes(X2,X5,tptp0) )
& min_precedes(X3,X4,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& min_precedes(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( ! [X5] :
( X4 = X5
| X3 = X5
| ~ min_precedes(X2,X5,tptp0) )
& min_precedes(X3,X4,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& min_precedes(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2,X3,X4] :
( ! [X5] :
( min_precedes(X2,X5,tptp0)
=> ( X4 = X5
| X3 = X5 ) )
& min_precedes(X3,X4,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& min_precedes(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X105,X106] :
( ( ~ leaf_occ(X105,X106)
& arboreal(X105)
& subactivity_occurrence(X105,X106)
& occurrence_of(X106,tptp0) )
=> ? [X107,X108,X109] :
( ! [X110] :
( min_precedes(X107,X110,tptp0)
=> ( X109 = X110
| X108 = X110 ) )
& min_precedes(X108,X109,tptp0)
& ( occurrence_of(X109,tptp2)
| occurrence_of(X109,tptp1) )
& min_precedes(X107,X108,tptp0)
& occurrence_of(X108,tptp4)
& next_subocc(X105,X107,tptp0)
& occurrence_of(X107,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4563,plain,
( min_precedes(sK8(sK2),sK8(sK8(sK2)),tptp0)
| ~ spl22_21 ),
inference(resolution,[],[f486,f268]) ).
fof(f486,plain,
( next_subocc(sK8(sK2),sK8(sK8(sK2)),tptp0)
| ~ spl22_21 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f3012,plain,
( ~ spl22_15
| spl22_325 ),
inference(avatar_contradiction_clause,[],[f3011]) ).
fof(f3011,plain,
( $false
| ~ spl22_15
| spl22_325 ),
inference(resolution,[],[f2992,f808]) ).
fof(f2992,plain,
( ~ occurrence_of(sK17(tptp0,sK2,sK8(sK2)),tptp0)
| spl22_325 ),
inference(avatar_component_clause,[],[f2990]) ).
fof(f2990,plain,
( spl22_325
<=> occurrence_of(sK17(tptp0,sK2,sK8(sK2)),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_325])]) ).
fof(f2993,plain,
( spl22_324
| ~ spl22_325
| ~ spl22_15
| ~ spl22_20 ),
inference(avatar_split_clause,[],[f2983,f480,f429,f2990,f2986]) ).
fof(f480,plain,
( spl22_20
<=> ! [X0] :
( leaf_occ(sK8(sK2),X0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK8(sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_20])]) ).
fof(f2983,plain,
( ~ occurrence_of(sK17(tptp0,sK2,sK8(sK2)),tptp0)
| leaf_occ(sK8(sK2),sK17(tptp0,sK2,sK8(sK2)))
| ~ spl22_15
| ~ spl22_20 ),
inference(resolution,[],[f481,f810]) ).
fof(f810,plain,
( subactivity_occurrence(sK8(sK2),sK17(tptp0,sK2,sK8(sK2)))
| ~ spl22_15 ),
inference(resolution,[],[f617,f259]) ).
fof(f259,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X2,sK17(X0,X1,X2)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f481,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK8(sK2),X0)
| ~ occurrence_of(X0,tptp0)
| leaf_occ(sK8(sK2),X0) )
| ~ spl22_20 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f1988,plain,
spl22_190,
inference(avatar_contradiction_clause,[],[f1987]) ).
fof(f1987,plain,
( $false
| spl22_190 ),
inference(resolution,[],[f1940,f190]) ).
fof(f190,plain,
arboreal(sK2),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ! [X2,X3] :
( ( min_precedes(X2,sK4(X2),tptp0)
& occurrence_of(sK4(X2),tptp1)
& occurrence_of(X3,tptp2) )
| sP0(X2,X3)
| ~ leaf_occ(X3,sK3)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ next_subocc(sK2,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(sK2,sK3)
& arboreal(sK2)
& subactivity_occurrence(sK2,sK3)
& occurrence_of(sK3,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f137,f143,f142]) ).
fof(f142,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) )
& occurrence_of(X3,tptp2) )
| sP0(X2,X3)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ next_subocc(X0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ( ! [X3,X2] :
( ( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) )
& occurrence_of(X3,tptp2) )
| sP0(X2,X3)
| ~ leaf_occ(X3,sK3)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ next_subocc(sK2,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(sK2,sK3)
& arboreal(sK2)
& subactivity_occurrence(sK2,sK3)
& occurrence_of(sK3,tptp0) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
! [X2] :
( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) )
=> ( min_precedes(X2,sK4(X2),tptp0)
& occurrence_of(sK4(X2),tptp1) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
? [X0,X1] :
( ! [X2,X3] :
( ( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) )
& occurrence_of(X3,tptp2) )
| sP0(X2,X3)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ next_subocc(X0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) ),
inference(definition_folding,[],[f88,f136]) ).
fof(f136,plain,
! [X2,X3] :
( ( ? [X5] :
( min_precedes(X2,X5,tptp0)
& occurrence_of(X5,tptp2) )
& occurrence_of(X3,tptp1) )
| ~ sP0(X2,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f88,plain,
? [X0,X1] :
( ! [X2,X3] :
( ( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) )
& occurrence_of(X3,tptp2) )
| ( ? [X5] :
( min_precedes(X2,X5,tptp0)
& occurrence_of(X5,tptp2) )
& occurrence_of(X3,tptp1) )
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ next_subocc(X0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
? [X0,X1] :
( ! [X2,X3] :
( ( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) )
& occurrence_of(X3,tptp2) )
| ( ? [X5] :
( min_precedes(X2,X5,tptp0)
& occurrence_of(X5,tptp2) )
& occurrence_of(X3,tptp1) )
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ next_subocc(X0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
~ ! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2,X3] :
( ( occurrence_of(X3,tptp2)
=> ~ ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) ) )
& ( occurrence_of(X3,tptp1)
=> ~ ? [X5] :
( min_precedes(X2,X5,tptp0)
& occurrence_of(X5,tptp2) ) )
& leaf_occ(X3,X1)
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp2)
| occurrence_of(X3,tptp1) )
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
inference(rectify,[],[f50]) ).
fof(f50,negated_conjecture,
~ ! [X111,X112] :
( ( ~ leaf_occ(X111,X112)
& arboreal(X111)
& subactivity_occurrence(X111,X112)
& occurrence_of(X112,tptp0) )
=> ? [X113,X114] :
( ( occurrence_of(X114,tptp2)
=> ~ ? [X116] :
( min_precedes(X113,X116,tptp0)
& occurrence_of(X116,tptp1) ) )
& ( occurrence_of(X114,tptp1)
=> ~ ? [X115] :
( min_precedes(X113,X115,tptp0)
& occurrence_of(X115,tptp2) ) )
& leaf_occ(X114,X112)
& min_precedes(X113,X114,tptp0)
& ( occurrence_of(X114,tptp2)
| occurrence_of(X114,tptp1) )
& next_subocc(X111,X113,tptp0)
& occurrence_of(X113,tptp3) ) ),
inference(negated_conjecture,[],[f49]) ).
fof(f49,conjecture,
! [X111,X112] :
( ( ~ leaf_occ(X111,X112)
& arboreal(X111)
& subactivity_occurrence(X111,X112)
& occurrence_of(X112,tptp0) )
=> ? [X113,X114] :
( ( occurrence_of(X114,tptp2)
=> ~ ? [X116] :
( min_precedes(X113,X116,tptp0)
& occurrence_of(X116,tptp1) ) )
& ( occurrence_of(X114,tptp1)
=> ~ ? [X115] :
( min_precedes(X113,X115,tptp0)
& occurrence_of(X115,tptp2) ) )
& leaf_occ(X114,X112)
& min_precedes(X113,X114,tptp0)
& ( occurrence_of(X114,tptp2)
| occurrence_of(X114,tptp1) )
& next_subocc(X111,X113,tptp0)
& occurrence_of(X113,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1940,plain,
( ~ arboreal(sK2)
| spl22_190 ),
inference(avatar_component_clause,[],[f1938]) ).
fof(f1977,plain,
( ~ spl22_14
| ~ spl22_67 ),
inference(avatar_contradiction_clause,[],[f1974]) ).
fof(f1974,plain,
( $false
| ~ spl22_14
| ~ spl22_67 ),
inference(resolution,[],[f819,f646]) ).
fof(f646,plain,
( ~ leaf(sK8(sK2),tptp0)
| ~ spl22_14 ),
inference(resolution,[],[f426,f238]) ).
fof(f238,plain,
! [X0,X1,X4] :
( ~ min_precedes(X0,X4,X1)
| ~ leaf(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| min_precedes(X0,sK12(X0,X1),X1)
| ( ! [X3] : ~ min_precedes(X3,X0,X1)
& ~ root(X0,X1) ) )
& ( ( ! [X4] : ~ min_precedes(X0,X4,X1)
& ( min_precedes(sK13(X0,X1),X0,X1)
| root(X0,X1) ) )
| ~ leaf(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f158,f160,f159]) ).
fof(f159,plain,
! [X0,X1] :
( ? [X2] : min_precedes(X0,X2,X1)
=> min_precedes(X0,sK12(X0,X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X0,X1] :
( ? [X5] : min_precedes(X5,X0,X1)
=> min_precedes(sK13(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ? [X2] : min_precedes(X0,X2,X1)
| ( ! [X3] : ~ min_precedes(X3,X0,X1)
& ~ root(X0,X1) ) )
& ( ( ! [X4] : ~ min_precedes(X0,X4,X1)
& ( ? [X5] : min_precedes(X5,X0,X1)
| root(X0,X1) ) )
| ~ leaf(X0,X1) ) ),
inference(rectify,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ? [X2] : min_precedes(X0,X2,X1)
| ( ! [X3] : ~ min_precedes(X3,X0,X1)
& ~ root(X0,X1) ) )
& ( ( ! [X2] : ~ min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) )
| ~ leaf(X0,X1) ) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ? [X2] : min_precedes(X0,X2,X1)
| ( ! [X3] : ~ min_precedes(X3,X0,X1)
& ~ root(X0,X1) ) )
& ( ( ! [X2] : ~ min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) )
| ~ leaf(X0,X1) ) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ! [X2] : ~ min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) ) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ~ ? [X2] : min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X56,X57] :
( leaf(X56,X57)
<=> ( ~ ? [X59] : min_precedes(X56,X59,X57)
& ( ? [X58] : min_precedes(X58,X56,X57)
| root(X56,X57) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f426,plain,
( min_precedes(sK8(sK2),sK9(sK2),tptp0)
| ~ spl22_14 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f424,plain,
( spl22_14
<=> min_precedes(sK8(sK2),sK9(sK2),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_14])]) ).
fof(f819,plain,
( leaf(sK8(sK2),tptp0)
| ~ spl22_67 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f520,plain,
~ spl22_9,
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f512,plain,
( $false
| ~ spl22_9 ),
inference(resolution,[],[f400,f191]) ).
fof(f191,plain,
~ leaf_occ(sK2,sK3),
inference(cnf_transformation,[],[f144]) ).
fof(f400,plain,
( leaf_occ(sK2,sK3)
| ~ spl22_9 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f398,plain,
( spl22_9
<=> leaf_occ(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_9])]) ).
fof(f487,plain,
( spl22_21
| spl22_20
| ~ spl22_7 ),
inference(avatar_split_clause,[],[f469,f371,f480,f484]) ).
fof(f371,plain,
( spl22_7
<=> arboreal(sK8(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).
fof(f469,plain,
( ! [X0] :
( leaf_occ(sK8(sK2),X0)
| next_subocc(sK8(sK2),sK8(sK8(sK2)),tptp0)
| ~ subactivity_occurrence(sK8(sK2),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl22_7 ),
inference(resolution,[],[f373,f228]) ).
fof(f228,plain,
! [X0,X1] :
( ~ arboreal(X0)
| leaf_occ(X0,X1)
| next_subocc(X0,sK8(X0),tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f373,plain,
( arboreal(sK8(sK2))
| ~ spl22_7 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f482,plain,
( spl22_19
| spl22_20
| ~ spl22_7 ),
inference(avatar_split_clause,[],[f468,f371,f480,f476]) ).
fof(f468,plain,
( ! [X0] :
( leaf_occ(sK8(sK2),X0)
| occurrence_of(sK8(sK8(sK2)),tptp3)
| ~ subactivity_occurrence(sK8(sK2),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl22_7 ),
inference(resolution,[],[f373,f227]) ).
fof(f227,plain,
! [X0,X1] :
( ~ arboreal(X0)
| leaf_occ(X0,X1)
| occurrence_of(sK8(X0),tptp3)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f432,plain,
( spl22_15
| spl22_4 ),
inference(avatar_split_clause,[],[f383,f354,f429]) ).
fof(f383,plain,
! [X0] :
( leaf_occ(sK2,X0)
| next_subocc(sK2,sK8(sK2),tptp0)
| ~ subactivity_occurrence(sK2,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f228,f190]) ).
fof(f427,plain,
( spl22_14
| spl22_4 ),
inference(avatar_split_clause,[],[f388,f354,f424]) ).
fof(f388,plain,
! [X0] :
( leaf_occ(sK2,X0)
| min_precedes(sK8(sK2),sK9(sK2),tptp0)
| ~ subactivity_occurrence(sK2,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f230,f190]) ).
fof(f230,plain,
! [X0,X1] :
( ~ arboreal(X0)
| leaf_occ(X0,X1)
| min_precedes(sK8(X0),sK9(X0),tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f417,plain,
( spl22_11
| spl22_4
| spl22_12 ),
inference(avatar_split_clause,[],[f394,f414,f354,f410]) ).
fof(f394,plain,
! [X0] :
( occurrence_of(sK10(sK2),tptp1)
| leaf_occ(sK2,X0)
| occurrence_of(sK10(sK2),tptp2)
| ~ subactivity_occurrence(sK2,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f231,f190]) ).
fof(f231,plain,
! [X0,X1] :
( ~ arboreal(X0)
| occurrence_of(sK10(X0),tptp1)
| leaf_occ(X0,X1)
| occurrence_of(sK10(X0),tptp2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f408,plain,
spl22_10,
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f407,plain,
( $false
| spl22_10 ),
inference(resolution,[],[f404,f188]) ).
fof(f188,plain,
occurrence_of(sK3,tptp0),
inference(cnf_transformation,[],[f144]) ).
fof(f404,plain,
( ~ occurrence_of(sK3,tptp0)
| spl22_10 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f402,plain,
( spl22_10
<=> occurrence_of(sK3,tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_10])]) ).
fof(f405,plain,
( spl22_9
| ~ spl22_10
| ~ spl22_4 ),
inference(avatar_split_clause,[],[f396,f354,f402,f398]) ).
fof(f396,plain,
( ~ occurrence_of(sK3,tptp0)
| leaf_occ(sK2,sK3)
| ~ spl22_4 ),
inference(resolution,[],[f355,f189]) ).
fof(f189,plain,
subactivity_occurrence(sK2,sK3),
inference(cnf_transformation,[],[f144]) ).
fof(f355,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK2,X0)
| ~ occurrence_of(X0,tptp0)
| leaf_occ(sK2,X0) )
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f382,plain,
spl22_5,
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f381,plain,
( $false
| spl22_5 ),
inference(resolution,[],[f365,f201]) ).
fof(f201,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f365,plain,
( ~ atomic(tptp3)
| spl22_5 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f363,plain,
( spl22_5
<=> atomic(tptp3) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).
fof(f380,plain,
( spl22_8
| spl22_4 ),
inference(avatar_split_clause,[],[f375,f354,f377]) ).
fof(f375,plain,
! [X0] :
( leaf_occ(sK2,X0)
| occurrence_of(sK9(sK2),tptp4)
| ~ subactivity_occurrence(sK2,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f229,f190]) ).
fof(f229,plain,
! [X0,X1] :
( ~ arboreal(X0)
| leaf_occ(X0,X1)
| occurrence_of(sK9(X0),tptp4)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f374,plain,
( spl22_7
| ~ spl22_5
| ~ spl22_3 ),
inference(avatar_split_clause,[],[f360,f350,f363,f371]) ).
fof(f350,plain,
( spl22_3
<=> occurrence_of(sK8(sK2),tptp3) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
fof(f360,plain,
( ~ atomic(tptp3)
| arboreal(sK8(sK2))
| ~ spl22_3 ),
inference(resolution,[],[f352,f223]) ).
fof(f223,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X16,X17] :
( occurrence_of(X16,X17)
=> ( arboreal(X16)
<=> atomic(X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f352,plain,
( occurrence_of(sK8(sK2),tptp3)
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f356,plain,
( spl22_3
| spl22_4 ),
inference(avatar_split_clause,[],[f348,f354,f350]) ).
fof(f348,plain,
! [X0] :
( leaf_occ(sK2,X0)
| occurrence_of(sK8(sK2),tptp3)
| ~ subactivity_occurrence(sK2,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f227,f190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO018+1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.33 % Computer : n017.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 : Thu Jun 20 06:25:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36 Running first-order model finding
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.42 % (28082)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (28085)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.21/0.42 % (28082)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (28087)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.21/0.42 % (28082)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (28086)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.21/0.42 % (28082)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (28088)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.21/0.42 % (28082)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (28084)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.21/0.42 % (28082)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (28083)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.21/0.42 % (28082)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (28089)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.21/0.43 Detected minimum model sizes of [4]
% 0.21/0.43 Detected maximum model sizes of [max]
% 0.21/0.43 Detected minimum model sizes of [4]
% 0.21/0.43 Detected maximum model sizes of [max]
% 0.21/0.43 Detected minimum model sizes of [4]
% 0.21/0.43 Detected maximum model sizes of [max]
% 0.21/0.43 TRYING [4]
% 0.21/0.44 TRYING [5]
% 0.21/0.45 TRYING [10]
% 0.21/0.48 % (28087)Instruction limit reached!
% 0.21/0.48 % (28087)------------------------------
% 0.21/0.48 % (28087)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (28087)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (28087)Termination reason: Time limit
% 0.21/0.48 % (28087)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (28087)Memory used [KB]: 1692
% 0.21/0.48 % (28087)Time elapsed: 0.059 s
% 0.21/0.48 % (28087)Instructions burned: 104 (million)
% 0.21/0.48 % (28089)Instruction limit reached!
% 0.21/0.48 % (28089)------------------------------
% 0.21/0.48 % (28089)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (28089)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (28089)Termination reason: Time limit
% 0.21/0.48 % (28089)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (28089)Memory used [KB]: 2875
% 0.21/0.48 % (28089)Time elapsed: 0.060 s
% 0.21/0.48 % (28089)Instructions burned: 115 (million)
% 0.21/0.48 TRYING [6]
% 0.21/0.50 % (28088)Instruction limit reached!
% 0.21/0.50 % (28088)------------------------------
% 0.21/0.50 % (28088)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (28088)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (28088)Termination reason: Time limit
% 0.21/0.50 % (28088)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (28088)Memory used [KB]: 2113
% 0.21/0.50 % (28088)Time elapsed: 0.079 s
% 0.21/0.50 % (28088)Instructions burned: 146 (million)
% 0.21/0.51 % (28082)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (28090)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.21/0.52 % (28082)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52 % (28091)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.21/0.54 % (28082)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.54 % (28092)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.21/0.54 TRYING [7]
% 1.53/0.58 % (28091)Instruction limit reached!
% 1.53/0.58 % (28091)------------------------------
% 1.53/0.58 % (28091)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.53/0.58 % (28091)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.53/0.58 % (28091)Termination reason: Time limit
% 1.53/0.58 % (28091)Termination phase: Saturation
% 1.53/0.58
% 1.53/0.58 % (28091)Memory used [KB]: 3038
% 1.53/0.58 % (28091)Time elapsed: 0.083 s
% 1.53/0.58 % (28091)Instructions burned: 177 (million)
% 1.53/0.62 % (28082)Running in auto input_syntax mode. Trying TPTP
% 1.53/0.62 % (28093)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 1.93/0.64 % (28092)Instruction limit reached!
% 1.93/0.64 % (28092)------------------------------
% 1.93/0.64 % (28092)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.93/0.64 % (28092)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.93/0.64 % (28092)Termination reason: Time limit
% 1.93/0.64 % (28092)Termination phase: Saturation
% 1.93/0.64
% 1.93/0.64 % (28092)Memory used [KB]: 4012
% 1.93/0.64 % (28092)Time elapsed: 0.107 s
% 1.93/0.64 % (28092)Instructions burned: 270 (million)
% 2.11/0.66 % (28090)Instruction limit reached!
% 2.11/0.66 % (28090)------------------------------
% 2.11/0.66 % (28090)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.11/0.66 % (28090)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.11/0.66 % (28090)Termination reason: Time limit
% 2.11/0.66 % (28090)Termination phase: Saturation
% 2.11/0.66
% 2.11/0.66 % (28090)Memory used [KB]: 4083
% 2.11/0.66 % (28090)Time elapsed: 0.147 s
% 2.11/0.66 % (28090)Instructions burned: 406 (million)
% 2.11/0.67 TRYING [8]
% 2.11/0.68 % (28082)Running in auto input_syntax mode. Trying TPTP
% 2.11/0.68 % (28094)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 2.11/0.68 Detected minimum model sizes of [4]
% 2.11/0.68 Detected maximum model sizes of [max]
% 2.11/0.68 TRYING [4]
% 2.11/0.69 TRYING [5]
% 2.11/0.70 % (28082)Running in auto input_syntax mode. Trying TPTP
% 2.11/0.70 % (28095)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2997ds/2145Mi)
% 2.11/0.71 TRYING [6]
% 2.11/0.72 TRYING [23]
% 2.57/0.77 TRYING [7]
% 2.94/0.89 TRYING [8]
% 3.19/0.94 % (28093)Instruction limit reached!
% 3.19/0.94 % (28093)------------------------------
% 3.19/0.94 % (28093)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.19/0.94 % (28093)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.19/0.94 % (28093)Termination reason: Time limit
% 3.19/0.94 % (28093)Termination phase: Saturation
% 3.19/0.94
% 3.19/0.94 % (28093)Memory used [KB]: 7843
% 3.19/0.94 % (28093)Time elapsed: 0.317 s
% 3.19/0.94 % (28093)Instructions burned: 902 (million)
% 3.69/0.97 TRYING [9]
% 3.69/0.97 % (28082)Running in auto input_syntax mode. Trying TPTP
% 3.69/0.97 % (28111)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2994ds/1187Mi)
% 5.14/1.13 TRYING [9]
% 5.78/1.22 % (28095)First to succeed.
% 5.78/1.22 % (28095)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28082"
% 6.14/1.23 % (28082)Running in auto input_syntax mode. Trying TPTP
% 6.14/1.23 % (28095)Refutation found. Thanks to Tanya!
% 6.14/1.23 % SZS status Theorem for theBenchmark
% 6.14/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 6.14/1.23 % (28095)------------------------------
% 6.14/1.23 % (28095)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.14/1.23 % (28095)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.14/1.23 % (28095)Termination reason: Refutation
% 6.14/1.23
% 6.14/1.23 % (28095)Memory used [KB]: 11937
% 6.14/1.23 % (28095)Time elapsed: 0.527 s
% 6.14/1.23 % (28095)Instructions burned: 1481 (million)
% 6.14/1.23 % (28095)------------------------------
% 6.14/1.23 % (28095)------------------------------
% 6.14/1.23 % (28082)Success in time 0.85 s
%------------------------------------------------------------------------------