TSTP Solution File: COM137+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : COM137+1 : TPTP v8.1.2. Released v6.4.0.
% 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 : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 02:13:57 EDT 2024
% Result : Theorem 0.93s 0.83s
% Output : Refutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 31
% Syntax : Number of formulae : 142 ( 14 unt; 0 def)
% Number of atoms : 427 ( 114 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 436 ( 151 ~; 158 |; 86 &)
% ( 16 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 17 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-3 aty)
% Number of variables : 318 ( 243 !; 75 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f681,plain,
$false,
inference(avatar_sat_refutation,[],[f226,f231,f236,f248,f254,f338,f348,f353,f358,f396,f435,f459,f469,f564,f575,f654,f675]) ).
fof(f675,plain,
~ spl15_10,
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f674,plain,
( $false
| ~ spl15_10 ),
inference(subsumption_resolution,[],[f667,f154]) ).
fof(f154,plain,
! [X2,X3,X0,X1,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2,X3,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X3,X5,X6] : vabs(X0,X2,X3) != vapp(X5,X6),
file('/export/starexec/sandbox2/tmp/tmp.rzJr7qv7fJ/Vampire---4.8_22230','DIFF-abs-app') ).
fof(f667,plain,
( vapp(ve1app,ve2app) = vabs(sK9(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK11(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK10(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)))
| ~ spl15_10 ),
inference(resolution,[],[f337,f163]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| vabs(sK9(X0,X1,X2),sK11(X0,X1,X2),sK10(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ( vtcheck(vbind(sK9(X0,X1,X2),sK11(X0,X1,X2),X0),sK10(X0,X1,X2),sK12(X0,X1,X2))
& varrow(sK11(X0,X1,X2),sK12(X0,X1,X2)) = X1
& vabs(sK9(X0,X1,X2),sK11(X0,X1,X2),sK10(X0,X1,X2)) = X2 )
| ~ sP0(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f135,f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5,X6] :
( vtcheck(vbind(X3,X5,X0),X4,X6)
& varrow(X5,X6) = X1
& vabs(X3,X5,X4) = X2 )
=> ( vtcheck(vbind(sK9(X0,X1,X2),sK11(X0,X1,X2),X0),sK10(X0,X1,X2),sK12(X0,X1,X2))
& varrow(sK11(X0,X1,X2),sK12(X0,X1,X2)) = X1
& vabs(sK9(X0,X1,X2),sK11(X0,X1,X2),sK10(X0,X1,X2)) = X2 ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5,X6] :
( vtcheck(vbind(X3,X5,X0),X4,X6)
& varrow(X5,X6) = X1
& vabs(X3,X5,X4) = X2 )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f134]) ).
fof(f134,plain,
! [X2,X1,X0] :
( ? [X6,X7,X8,X9] :
( vtcheck(vbind(X6,X8,X2),X7,X9)
& varrow(X8,X9) = X1
& vabs(X6,X8,X7) = X0 )
| ~ sP0(X2,X1,X0) ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X2,X1,X0] :
( ? [X6,X7,X8,X9] :
( vtcheck(vbind(X6,X8,X2),X7,X9)
& varrow(X8,X9) = X1
& vabs(X6,X8,X7) = X0 )
| ~ sP0(X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f337,plain,
( sP0(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app))
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f335,plain,
( spl15_10
<=> sP0(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f654,plain,
( spl15_1
| ~ spl15_18
| ~ spl15_34 ),
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f653,plain,
( $false
| spl15_1
| ~ spl15_18
| ~ spl15_34 ),
inference(subsumption_resolution,[],[f652,f225]) ).
fof(f225,plain,
( ~ vtcheck(sK4,vapp(ve1app,ve2app),sK5)
| spl15_1 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl15_1
<=> vtcheck(sK4,vapp(ve1app,ve2app),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f652,plain,
( vtcheck(sK4,vapp(ve1app,ve2app),sK5)
| ~ spl15_18
| ~ spl15_34 ),
inference(resolution,[],[f594,f468]) ).
fof(f468,plain,
( vtcheck(sK4,ve2app,sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)))
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f466,plain,
( spl15_18
<=> vtcheck(sK4,ve2app,sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f594,plain,
( ! [X0] :
( ~ vtcheck(sK4,X0,sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)))
| vtcheck(sK4,vapp(ve1app,X0),sK5) )
| ~ spl15_34 ),
inference(resolution,[],[f574,f168]) ).
fof(f168,plain,
! [X2,X3,X0,X1,X4] :
( ~ vtcheck(X1,X2,varrow(X0,X4))
| ~ vtcheck(X1,X3,X0)
| vtcheck(X1,vapp(X2,X3),X4) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X3,X0)
| ~ vtcheck(X1,X2,varrow(X0,X4)) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X3,X0)
| ~ vtcheck(X1,X2,varrow(X0,X4)) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2,X3,X4] :
( ( vtcheck(X1,X3,X0)
& vtcheck(X1,X2,varrow(X0,X4)) )
=> vtcheck(X1,vapp(X2,X3),X4) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X9,X19,X11,X12,X14] :
( ( vtcheck(X19,X12,X9)
& vtcheck(X19,X11,varrow(X9,X14)) )
=> vtcheck(X19,vapp(X11,X12),X14) ),
file('/export/starexec/sandbox2/tmp/tmp.rzJr7qv7fJ/Vampire---4.8_22230','T-app') ).
fof(f574,plain,
( vtcheck(sK4,ve1app,varrow(sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK5))
| ~ spl15_34 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f572,plain,
( spl15_34
<=> vtcheck(sK4,ve1app,varrow(sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).
fof(f575,plain,
( spl15_34
| spl15_6
| ~ spl15_33 ),
inference(avatar_split_clause,[],[f570,f561,f251,f572]) ).
fof(f251,plain,
( spl15_6
<=> visFreeVar(sK2,ve1app) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f561,plain,
( spl15_33
<=> vtcheck(vbind(sK2,sK3,sK4),ve1app,varrow(sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).
fof(f570,plain,
( vtcheck(sK4,ve1app,varrow(sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK5))
| spl15_6
| ~ spl15_33 ),
inference(subsumption_resolution,[],[f565,f253]) ).
fof(f253,plain,
( ~ visFreeVar(sK2,ve1app)
| spl15_6 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f565,plain,
( vtcheck(sK4,ve1app,varrow(sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK5))
| visFreeVar(sK2,ve1app)
| ~ spl15_33 ),
inference(resolution,[],[f563,f179]) ).
fof(f179,plain,
! [X2,X3,X0,X1] :
( ~ vtcheck(vbind(X0,X1,X2),ve1app,X3)
| vtcheck(X2,ve1app,X3)
| visFreeVar(X0,ve1app) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( vtcheck(X2,ve1app,X3)
| ~ vtcheck(vbind(X0,X1,X2),ve1app,X3)
| visFreeVar(X0,ve1app) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( vtcheck(X2,ve1app,X3)
| ~ vtcheck(vbind(X0,X1,X2),ve1app,X3)
| visFreeVar(X0,ve1app) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( ( vtcheck(vbind(X0,X1,X2),ve1app,X3)
& ~ visFreeVar(X0,ve1app) )
=> vtcheck(X2,ve1app,X3) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X8,X9,X19,X14] :
( ( vtcheck(vbind(X8,X9,X19),ve1app,X14)
& ~ visFreeVar(X8,ve1app) )
=> vtcheck(X19,ve1app,X14) ),
file('/export/starexec/sandbox2/tmp/tmp.rzJr7qv7fJ/Vampire---4.8_22230','T-Strong-app-IH1') ).
fof(f563,plain,
( vtcheck(vbind(sK2,sK3,sK4),ve1app,varrow(sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK5))
| ~ spl15_33 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f564,plain,
( spl15_33
| ~ spl15_11
| ~ spl15_14 ),
inference(avatar_split_clause,[],[f559,f393,f345,f561]) ).
fof(f345,plain,
( spl15_11
<=> vtcheck(vbind(sK2,sK3,sK4),sK6(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),varrow(sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f393,plain,
( spl15_14
<=> ve1app = sK6(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f559,plain,
( vtcheck(vbind(sK2,sK3,sK4),ve1app,varrow(sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK5))
| ~ spl15_11
| ~ spl15_14 ),
inference(forward_demodulation,[],[f347,f395]) ).
fof(f395,plain,
( ve1app = sK6(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app))
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f347,plain,
( vtcheck(vbind(sK2,sK3,sK4),sK6(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),varrow(sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK5))
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f469,plain,
( spl15_18
| spl15_5
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f464,f456,f245,f466]) ).
fof(f245,plain,
( spl15_5
<=> visFreeVar(sK2,ve2app) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f456,plain,
( spl15_17
<=> vtcheck(vbind(sK2,sK3,sK4),ve2app,sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f464,plain,
( vtcheck(sK4,ve2app,sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)))
| spl15_5
| ~ spl15_17 ),
inference(subsumption_resolution,[],[f460,f247]) ).
fof(f247,plain,
( ~ visFreeVar(sK2,ve2app)
| spl15_5 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f460,plain,
( vtcheck(sK4,ve2app,sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)))
| visFreeVar(sK2,ve2app)
| ~ spl15_17 ),
inference(resolution,[],[f458,f180]) ).
fof(f180,plain,
! [X2,X3,X0,X1] :
( ~ vtcheck(vbind(X0,X1,X2),ve2app,X3)
| vtcheck(X2,ve2app,X3)
| visFreeVar(X0,ve2app) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( vtcheck(X2,ve2app,X3)
| ~ vtcheck(vbind(X0,X1,X2),ve2app,X3)
| visFreeVar(X0,ve2app) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( vtcheck(X2,ve2app,X3)
| ~ vtcheck(vbind(X0,X1,X2),ve2app,X3)
| visFreeVar(X0,ve2app) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( ( vtcheck(vbind(X0,X1,X2),ve2app,X3)
& ~ visFreeVar(X0,ve2app) )
=> vtcheck(X2,ve2app,X3) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X8,X9,X19,X14] :
( ( vtcheck(vbind(X8,X9,X19),ve2app,X14)
& ~ visFreeVar(X8,ve2app) )
=> vtcheck(X19,ve2app,X14) ),
file('/export/starexec/sandbox2/tmp/tmp.rzJr7qv7fJ/Vampire---4.8_22230','T-Strong-app-IH2') ).
fof(f458,plain,
( vtcheck(vbind(sK2,sK3,sK4),ve2app,sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)))
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f459,plain,
( spl15_17
| ~ spl15_13
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f454,f432,f355,f456]) ).
fof(f355,plain,
( spl15_13
<=> vtcheck(vbind(sK2,sK3,sK4),sK7(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f432,plain,
( spl15_16
<=> ve2app = sK7(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f454,plain,
( vtcheck(vbind(sK2,sK3,sK4),ve2app,sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)))
| ~ spl15_13
| ~ spl15_16 ),
inference(forward_demodulation,[],[f357,f434]) ).
fof(f434,plain,
( ve2app = sK7(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app))
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f357,plain,
( vtcheck(vbind(sK2,sK3,sK4),sK7(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)))
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f435,plain,
( spl15_16
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f430,f350,f432]) ).
fof(f350,plain,
( spl15_12
<=> vapp(ve1app,ve2app) = vapp(sK6(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK7(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f430,plain,
( ve2app = sK7(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app))
| ~ spl15_12 ),
inference(equality_resolution,[],[f371]) ).
fof(f371,plain,
( ! [X0,X1] :
( vapp(ve1app,ve2app) != vapp(X0,X1)
| sK7(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)) = X1 )
| ~ spl15_12 ),
inference(superposition,[],[f157,f352]) ).
fof(f352,plain,
( vapp(ve1app,ve2app) = vapp(sK6(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK7(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)))
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f157,plain,
! [X2,X3,X0,X1] :
( vapp(X0,X1) != vapp(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ( vapp(X0,X1) = vapp(X2,X3)
| X1 != X3
| X0 != X2 )
& ( ( X1 = X3
& X0 = X2 )
| vapp(X0,X1) != vapp(X2,X3) ) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ( vapp(X0,X1) = vapp(X2,X3)
| X1 != X3
| X0 != X2 )
& ( ( X1 = X3
& X0 = X2 )
| vapp(X0,X1) != vapp(X2,X3) ) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ( ( X1 = X3
& X0 = X2 )
=> vapp(X0,X1) = vapp(X2,X3) )
& ( vapp(X0,X1) = vapp(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3,X5,X6,X7] :
( ( ( X5 = X7
& X3 = X6 )
=> vapp(X3,X5) = vapp(X6,X7) )
& ( vapp(X3,X5) = vapp(X6,X7)
=> ( X5 = X7
& X3 = X6 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rzJr7qv7fJ/Vampire---4.8_22230','EQ-app') ).
fof(f396,plain,
( spl15_14
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f391,f350,f393]) ).
fof(f391,plain,
( ve1app = sK6(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app))
| ~ spl15_12 ),
inference(equality_resolution,[],[f369]) ).
fof(f369,plain,
( ! [X0,X1] :
( vapp(ve1app,ve2app) != vapp(X0,X1)
| sK6(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)) = X0 )
| ~ spl15_12 ),
inference(superposition,[],[f156,f352]) ).
fof(f156,plain,
! [X2,X3,X0,X1] :
( vapp(X0,X1) != vapp(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f102]) ).
fof(f358,plain,
( spl15_13
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f343,f331,f355]) ).
fof(f331,plain,
( spl15_9
<=> sP1(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f343,plain,
( vtcheck(vbind(sK2,sK3,sK4),sK7(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)))
| ~ spl15_9 ),
inference(resolution,[],[f333,f162]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| vtcheck(X0,sK7(X0,X1,X2),sK8(X0,X1,X2)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2] :
( ( vtcheck(X0,sK7(X0,X1,X2),sK8(X0,X1,X2))
& vtcheck(X0,sK6(X0,X1,X2),varrow(sK8(X0,X1,X2),X1))
& vapp(sK6(X0,X1,X2),sK7(X0,X1,X2)) = X2 )
| ~ sP1(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f131,f132]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vtcheck(X0,X4,X5)
& vtcheck(X0,X3,varrow(X5,X1))
& vapp(X3,X4) = X2 )
=> ( vtcheck(X0,sK7(X0,X1,X2),sK8(X0,X1,X2))
& vtcheck(X0,sK6(X0,X1,X2),varrow(sK8(X0,X1,X2),X1))
& vapp(sK6(X0,X1,X2),sK7(X0,X1,X2)) = X2 ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vtcheck(X0,X4,X5)
& vtcheck(X0,X3,varrow(X5,X1))
& vapp(X3,X4) = X2 )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
! [X2,X1,X0] :
( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
| ~ sP1(X2,X1,X0) ),
inference(nnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X2,X1,X0] :
( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
| ~ sP1(X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f333,plain,
( sP1(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app))
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f353,plain,
( spl15_12
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f342,f331,f350]) ).
fof(f342,plain,
( vapp(ve1app,ve2app) = vapp(sK6(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK7(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)))
| ~ spl15_9 ),
inference(resolution,[],[f333,f160]) ).
fof(f160,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| vapp(sK6(X0,X1,X2),sK7(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f133]) ).
fof(f348,plain,
( spl15_11
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f341,f331,f345]) ).
fof(f341,plain,
( vtcheck(vbind(sK2,sK3,sK4),sK6(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),varrow(sK8(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app)),sK5))
| ~ spl15_9 ),
inference(resolution,[],[f333,f161]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| vtcheck(X0,sK6(X0,X1,X2),varrow(sK8(X0,X1,X2),X1)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f338,plain,
( spl15_9
| spl15_10
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f329,f228,f335,f331]) ).
fof(f228,plain,
( spl15_2
<=> vtcheck(vbind(sK2,sK3,sK4),vapp(ve1app,ve2app),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f329,plain,
( sP0(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app))
| sP1(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app))
| ~ spl15_2 ),
inference(subsumption_resolution,[],[f324,f155]) ).
fof(f155,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X3,X5] : vvar(X0) != vapp(X3,X5),
file('/export/starexec/sandbox2/tmp/tmp.rzJr7qv7fJ/Vampire---4.8_22230','DIFF-var-app') ).
fof(f324,plain,
( sP0(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app))
| vapp(ve1app,ve2app) = vvar(sK13(vapp(ve1app,ve2app),sK5,vbind(sK2,sK3,sK4)))
| sP1(vbind(sK2,sK3,sK4),sK5,vapp(ve1app,ve2app))
| ~ spl15_2 ),
inference(resolution,[],[f166,f230]) ).
fof(f230,plain,
( vtcheck(vbind(sK2,sK3,sK4),vapp(ve1app,ve2app),sK5)
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| sP0(X2,X1,X0)
| vvar(sK13(X0,X1,X2)) = X0
| sP1(X2,X1,X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( sP1(X2,X1,X0)
| sP0(X2,X1,X0)
| ( vsomeType(X1) = vlookup(sK13(X0,X1,X2),X2)
& vvar(sK13(X0,X1,X2)) = X0 )
| ~ vtcheck(X2,X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f138,f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ? [X3] :
( vsomeType(X1) = vlookup(X3,X2)
& vvar(X3) = X0 )
=> ( vsomeType(X1) = vlookup(sK13(X0,X1,X2),X2)
& vvar(sK13(X0,X1,X2)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0,X1,X2] :
( sP1(X2,X1,X0)
| sP0(X2,X1,X0)
| ? [X3] :
( vsomeType(X1) = vlookup(X3,X2)
& vvar(X3) = X0 )
| ~ vtcheck(X2,X0,X1) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2] :
( sP1(X2,X1,X0)
| sP0(X2,X1,X0)
| ? [X10] :
( vlookup(X10,X2) = vsomeType(X1)
& vvar(X10) = X0 )
| ~ vtcheck(X2,X0,X1) ),
inference(definition_folding,[],[f106,f126,f125]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
| ? [X6,X7,X8,X9] :
( vtcheck(vbind(X6,X8,X2),X7,X9)
& varrow(X8,X9) = X1
& vabs(X6,X8,X7) = X0 )
| ? [X10] :
( vlookup(X10,X2) = vsomeType(X1)
& vvar(X10) = X0 )
| ~ vtcheck(X2,X0,X1) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
| ? [X6,X7,X8,X9] :
( vtcheck(vbind(X6,X8,X2),X7,X9)
& varrow(X8,X9) = X1
& vabs(X6,X8,X7) = X0 )
| ? [X10] :
( vlookup(X10,X2) = vsomeType(X1)
& vvar(X10) = X0 )
| ~ vtcheck(X2,X0,X1) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( vtcheck(X2,X0,X1)
=> ( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
| ? [X6,X7,X8,X9] :
( vtcheck(vbind(X6,X8,X2),X7,X9)
& varrow(X8,X9) = X1
& vabs(X6,X8,X7) = X0 )
| ? [X10] :
( vlookup(X10,X2) = vsomeType(X1)
& vvar(X10) = X0 ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X10,X14,X19] :
( vtcheck(X19,X10,X14)
=> ( ? [X11,X12,X9] :
( vtcheck(X19,X12,X9)
& vtcheck(X19,X11,varrow(X9,X14))
& vapp(X11,X12) = X10 )
| ? [X8,X12,X32,X33] :
( vtcheck(vbind(X8,X32,X19),X12,X33)
& varrow(X32,X33) = X14
& vabs(X8,X32,X12) = X10 )
| ? [X8] :
( vlookup(X8,X19) = vsomeType(X14)
& vvar(X8) = X10 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rzJr7qv7fJ/Vampire---4.8_22230','T-inv') ).
fof(f254,plain,
( ~ spl15_6
| spl15_3 ),
inference(avatar_split_clause,[],[f249,f233,f251]) ).
fof(f233,plain,
( spl15_3
<=> visFreeVar(sK2,vapp(ve1app,ve2app)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f249,plain,
( ~ visFreeVar(sK2,ve1app)
| spl15_3 ),
inference(resolution,[],[f192,f235]) ).
fof(f235,plain,
( ~ visFreeVar(sK2,vapp(ve1app,ve2app))
| spl15_3 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f192,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X2) ),
inference(equality_resolution,[],[f191]) ).
fof(f191,plain,
! [X2,X3,X0,X4] :
( visFreeVar(X0,vapp(X2,X4))
| ~ visFreeVar(X3,X2)
| X0 != X3 ),
inference(equality_resolution,[],[f145]) ).
fof(f145,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X2)
| vapp(X2,X4) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2,X3,X4] :
( ( ( visFreeVar(X3,X4)
| visFreeVar(X3,X2)
| ~ visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
| ( ~ visFreeVar(X3,X4)
& ~ visFreeVar(X3,X2) ) ) )
| vapp(X2,X4) != X1
| X0 != X3 ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2,X3,X4] :
( ( ( visFreeVar(X3,X4)
| visFreeVar(X3,X2)
| ~ visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
| ( ~ visFreeVar(X3,X4)
& ~ visFreeVar(X3,X2) ) ) )
| vapp(X2,X4) != X1
| X0 != X3 ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2,X3,X4] :
( ( vapp(X2,X4) = X1
& X0 = X3 )
=> ( ( visFreeVar(X0,X1)
=> ( visFreeVar(X3,X4)
| visFreeVar(X3,X2) ) )
& ( ( visFreeVar(X3,X4)
| visFreeVar(X3,X2) )
=> visFreeVar(X0,X1) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X3,X11,X13,X12] :
( ( vapp(X11,X12) = X3
& X0 = X13 )
=> ( ( visFreeVar(X0,X3)
=> ( visFreeVar(X13,X12)
| visFreeVar(X13,X11) ) )
& ( ( visFreeVar(X13,X12)
| visFreeVar(X13,X11) )
=> visFreeVar(X0,X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rzJr7qv7fJ/Vampire---4.8_22230',isFreeVar2) ).
fof(f248,plain,
( ~ spl15_5
| spl15_3 ),
inference(avatar_split_clause,[],[f243,f233,f245]) ).
fof(f243,plain,
( ~ visFreeVar(sK2,ve2app)
| spl15_3 ),
inference(resolution,[],[f190,f235]) ).
fof(f190,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X4) ),
inference(equality_resolution,[],[f189]) ).
fof(f189,plain,
! [X2,X3,X0,X4] :
( visFreeVar(X0,vapp(X2,X4))
| ~ visFreeVar(X3,X4)
| X0 != X3 ),
inference(equality_resolution,[],[f146]) ).
fof(f146,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X4)
| vapp(X2,X4) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f94]) ).
fof(f236,plain,
~ spl15_3,
inference(avatar_split_clause,[],[f141,f233]) ).
fof(f141,plain,
~ visFreeVar(sK2,vapp(ve1app,ve2app)),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ~ vtcheck(sK4,vapp(ve1app,ve2app),sK5)
& vtcheck(vbind(sK2,sK3,sK4),vapp(ve1app,ve2app),sK5)
& ~ visFreeVar(sK2,vapp(ve1app,ve2app)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f90,f128]) ).
fof(f128,plain,
( ? [X0,X1,X2,X3] :
( ~ vtcheck(X2,vapp(ve1app,ve2app),X3)
& vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)
& ~ visFreeVar(X0,vapp(ve1app,ve2app)) )
=> ( ~ vtcheck(sK4,vapp(ve1app,ve2app),sK5)
& vtcheck(vbind(sK2,sK3,sK4),vapp(ve1app,ve2app),sK5)
& ~ visFreeVar(sK2,vapp(ve1app,ve2app)) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
? [X0,X1,X2,X3] :
( ~ vtcheck(X2,vapp(ve1app,ve2app),X3)
& vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)
& ~ visFreeVar(X0,vapp(ve1app,ve2app)) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
? [X0,X1,X2,X3] :
( ~ vtcheck(X2,vapp(ve1app,ve2app),X3)
& vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)
& ~ visFreeVar(X0,vapp(ve1app,ve2app)) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
~ ! [X0,X1,X2,X3] :
( ( vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)
& ~ visFreeVar(X0,vapp(ve1app,ve2app)) )
=> vtcheck(X2,vapp(ve1app,ve2app),X3) ),
inference(rectify,[],[f59]) ).
fof(f59,negated_conjecture,
~ ! [X8,X9,X19,X14] :
( ( vtcheck(vbind(X8,X9,X19),vapp(ve1app,ve2app),X14)
& ~ visFreeVar(X8,vapp(ve1app,ve2app)) )
=> vtcheck(X19,vapp(ve1app,ve2app),X14) ),
inference(negated_conjecture,[],[f58]) ).
fof(f58,conjecture,
! [X8,X9,X19,X14] :
( ( vtcheck(vbind(X8,X9,X19),vapp(ve1app,ve2app),X14)
& ~ visFreeVar(X8,vapp(ve1app,ve2app)) )
=> vtcheck(X19,vapp(ve1app,ve2app),X14) ),
file('/export/starexec/sandbox2/tmp/tmp.rzJr7qv7fJ/Vampire---4.8_22230','T-Strong-app') ).
fof(f231,plain,
spl15_2,
inference(avatar_split_clause,[],[f142,f228]) ).
fof(f142,plain,
vtcheck(vbind(sK2,sK3,sK4),vapp(ve1app,ve2app),sK5),
inference(cnf_transformation,[],[f129]) ).
fof(f226,plain,
~ spl15_1,
inference(avatar_split_clause,[],[f143,f223]) ).
fof(f143,plain,
~ vtcheck(sK4,vapp(ve1app,ve2app),sK5),
inference(cnf_transformation,[],[f129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM137+1 : TPTP v8.1.2. Released v6.4.0.
% 0.07/0.13 % 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
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 18:56:25 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.rzJr7qv7fJ/Vampire---4.8_22230
% 0.53/0.73 % (22571)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.53/0.73 % (22564)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.53/0.73 % (22566)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.73 % (22567)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.53/0.73 % (22568)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.53/0.73 % (22565)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.53/0.73 % (22571)Refutation not found, incomplete strategy% (22571)------------------------------
% 0.53/0.73 % (22571)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.73 % (22571)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73
% 0.53/0.73 % (22571)Memory used [KB]: 1085
% 0.53/0.73 % (22571)Time elapsed: 0.002 s
% 0.53/0.73 % (22571)Instructions burned: 4 (million)
% 0.53/0.73 % (22571)------------------------------
% 0.53/0.73 % (22571)------------------------------
% 0.53/0.73 % (22569)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.53/0.73 % (22570)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.53/0.74 % (22569)Refutation not found, incomplete strategy% (22569)------------------------------
% 0.53/0.74 % (22569)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74 % (22569)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (22569)Memory used [KB]: 1083
% 0.53/0.74 % (22569)Time elapsed: 0.003 s
% 0.53/0.74 % (22569)Instructions burned: 4 (million)
% 0.53/0.74 % (22569)------------------------------
% 0.53/0.74 % (22569)------------------------------
% 0.53/0.74 % (22566)Refutation not found, incomplete strategy% (22566)------------------------------
% 0.53/0.74 % (22566)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74 % (22566)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74 % (22574)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.53/0.74
% 0.53/0.74 % (22566)Memory used [KB]: 1135
% 0.53/0.74 % (22566)Time elapsed: 0.004 s
% 0.53/0.74 % (22566)Instructions burned: 5 (million)
% 0.53/0.74 % (22566)------------------------------
% 0.53/0.74 % (22566)------------------------------
% 0.53/0.74 % (22575)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.53/0.74 % (22568)Refutation not found, incomplete strategy% (22568)------------------------------
% 0.53/0.74 % (22568)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74 % (22568)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (22568)Memory used [KB]: 1393
% 0.53/0.74 % (22568)Time elapsed: 0.009 s
% 0.53/0.74 % (22568)Instructions burned: 14 (million)
% 0.53/0.74 % (22568)------------------------------
% 0.53/0.74 % (22568)------------------------------
% 0.53/0.74 % (22576)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.53/0.75 % (22577)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.60/0.75 % (22564)Instruction limit reached!
% 0.60/0.75 % (22564)------------------------------
% 0.60/0.75 % (22564)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (22564)Termination reason: Unknown
% 0.60/0.75 % (22564)Termination phase: Saturation
% 0.60/0.75
% 0.60/0.75 % (22564)Memory used [KB]: 1316
% 0.60/0.75 % (22564)Time elapsed: 0.019 s
% 0.60/0.75 % (22564)Instructions burned: 34 (million)
% 0.60/0.75 % (22564)------------------------------
% 0.60/0.75 % (22564)------------------------------
% 0.60/0.75 % (22567)Instruction limit reached!
% 0.60/0.75 % (22567)------------------------------
% 0.60/0.75 % (22567)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (22567)Termination reason: Unknown
% 0.60/0.75 % (22567)Termination phase: Saturation
% 0.60/0.75
% 0.60/0.75 % (22567)Memory used [KB]: 1626
% 0.60/0.75 % (22567)Time elapsed: 0.020 s
% 0.60/0.75 % (22567)Instructions burned: 34 (million)
% 0.60/0.75 % (22567)------------------------------
% 0.60/0.75 % (22567)------------------------------
% 0.60/0.75 % (22574)Instruction limit reached!
% 0.60/0.75 % (22574)------------------------------
% 0.60/0.75 % (22574)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (22574)Termination reason: Unknown
% 0.60/0.75 % (22574)Termination phase: Saturation
% 0.60/0.75
% 0.60/0.75 % (22574)Memory used [KB]: 1836
% 0.60/0.75 % (22574)Time elapsed: 0.018 s
% 0.60/0.75 % (22574)Instructions burned: 56 (million)
% 0.60/0.75 % (22574)------------------------------
% 0.60/0.75 % (22574)------------------------------
% 0.60/0.76 % (22583)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.60/0.76 % (22587)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.60/0.76 % (22585)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.60/0.76 % (22565)Instruction limit reached!
% 0.60/0.76 % (22565)------------------------------
% 0.60/0.76 % (22565)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (22565)Termination reason: Unknown
% 0.60/0.76 % (22565)Termination phase: Saturation
% 0.60/0.76
% 0.60/0.76 % (22565)Memory used [KB]: 1733
% 0.60/0.76 % (22565)Time elapsed: 0.029 s
% 0.60/0.76 % (22565)Instructions burned: 52 (million)
% 0.60/0.76 % (22565)------------------------------
% 0.60/0.76 % (22565)------------------------------
% 0.60/0.76 % (22583)Refutation not found, incomplete strategy% (22583)------------------------------
% 0.60/0.76 % (22583)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (22583)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (22583)Memory used [KB]: 1356
% 0.60/0.76 % (22583)Time elapsed: 0.009 s
% 0.60/0.76 % (22583)Instructions burned: 14 (million)
% 0.60/0.76 % (22583)------------------------------
% 0.60/0.76 % (22583)------------------------------
% 0.69/0.77 % (22575)Instruction limit reached!
% 0.69/0.77 % (22575)------------------------------
% 0.69/0.77 % (22575)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.77 % (22575)Termination reason: Unknown
% 0.69/0.77 % (22575)Termination phase: Saturation
% 0.69/0.77
% 0.69/0.77 % (22575)Memory used [KB]: 1756
% 0.69/0.77 % (22575)Time elapsed: 0.026 s
% 0.69/0.77 % (22575)Instructions burned: 50 (million)
% 0.69/0.77 % (22575)------------------------------
% 0.69/0.77 % (22575)------------------------------
% 0.69/0.77 % (22589)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.69/0.77 % (22590)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.69/0.77 % (22589)Refutation not found, incomplete strategy% (22589)------------------------------
% 0.69/0.77 % (22589)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.77 % (22589)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.77
% 0.69/0.77 % (22589)Memory used [KB]: 1141
% 0.69/0.77 % (22589)Time elapsed: 0.004 s
% 0.69/0.77 % (22589)Instructions burned: 5 (million)
% 0.69/0.77 % (22589)------------------------------
% 0.69/0.77 % (22589)------------------------------
% 0.69/0.77 % (22593)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.69/0.77 % (22596)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.69/0.77 % (22577)Instruction limit reached!
% 0.69/0.77 % (22577)------------------------------
% 0.69/0.77 % (22577)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.77 % (22577)Termination reason: Unknown
% 0.69/0.77 % (22577)Termination phase: Saturation
% 0.69/0.77
% 0.69/0.77 % (22570)Instruction limit reached!
% 0.69/0.77 % (22570)------------------------------
% 0.69/0.77 % (22570)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.77 % (22570)Termination reason: Unknown
% 0.69/0.77 % (22570)Termination phase: Saturation
% 0.69/0.77
% 0.69/0.77 % (22570)Memory used [KB]: 2206
% 0.69/0.77 % (22570)Time elapsed: 0.042 s
% 0.69/0.77 % (22570)Instructions burned: 83 (million)
% 0.69/0.78 % (22570)------------------------------
% 0.69/0.78 % (22570)------------------------------
% 0.69/0.78 % (22577)Memory used [KB]: 2010
% 0.69/0.78 % (22577)Time elapsed: 0.030 s
% 0.69/0.78 % (22577)Instructions burned: 52 (million)
% 0.69/0.78 % (22577)------------------------------
% 0.69/0.78 % (22577)------------------------------
% 0.69/0.78 % (22585)Instruction limit reached!
% 0.69/0.78 % (22585)------------------------------
% 0.69/0.78 % (22585)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.78 % (22585)Termination reason: Unknown
% 0.69/0.78 % (22585)Termination phase: Property scanning
% 0.69/0.78
% 0.69/0.78 % (22585)Memory used [KB]: 6987
% 0.69/0.78 % (22585)Time elapsed: 0.020 s
% 0.69/0.78 % (22585)Instructions burned: 44 (million)
% 0.69/0.78 % (22585)------------------------------
% 0.69/0.78 % (22585)------------------------------
% 0.69/0.78 % (22599)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.69/0.78 % (22600)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.69/0.78 % (22601)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.69/0.78 % (22600)Refutation not found, incomplete strategy% (22600)------------------------------
% 0.69/0.78 % (22600)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.78 % (22600)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.78
% 0.69/0.78 % (22600)Memory used [KB]: 1134
% 0.69/0.78 % (22600)Time elapsed: 0.004 s
% 0.69/0.78 % (22600)Instructions burned: 5 (million)
% 0.69/0.78 % (22600)------------------------------
% 0.69/0.78 % (22600)------------------------------
% 0.69/0.79 % (22604)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.69/0.79 % (22599)Instruction limit reached!
% 0.69/0.79 % (22599)------------------------------
% 0.69/0.79 % (22599)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.79 % (22599)Termination reason: Unknown
% 0.69/0.79 % (22599)Termination phase: Saturation
% 0.69/0.79
% 0.69/0.79 % (22599)Memory used [KB]: 1371
% 0.69/0.79 % (22599)Time elapsed: 0.015 s
% 0.69/0.79 % (22599)Instructions burned: 32 (million)
% 0.69/0.79 % (22599)------------------------------
% 0.69/0.79 % (22599)------------------------------
% 0.69/0.80 % (22606)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.69/0.81 % (22601)Instruction limit reached!
% 0.69/0.81 % (22601)------------------------------
% 0.69/0.81 % (22601)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.81 % (22601)Termination reason: Unknown
% 0.69/0.81 % (22601)Termination phase: Saturation
% 0.69/0.81
% 0.69/0.81 % (22601)Memory used [KB]: 1992
% 0.69/0.81 % (22601)Time elapsed: 0.027 s
% 0.69/0.81 % (22601)Instructions burned: 56 (million)
% 0.69/0.81 % (22601)------------------------------
% 0.69/0.81 % (22601)------------------------------
% 0.69/0.81 % (22596)Instruction limit reached!
% 0.69/0.81 % (22596)------------------------------
% 0.69/0.81 % (22596)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.81 % (22596)Termination reason: Unknown
% 0.69/0.81 % (22596)Termination phase: NewCNF
% 0.69/0.81
% 0.69/0.81 % (22596)Memory used [KB]: 7314
% 0.69/0.81 % (22596)Time elapsed: 0.034 s
% 0.69/0.81 % (22596)Instructions burned: 62 (million)
% 0.69/0.81 % (22596)------------------------------
% 0.69/0.81 % (22596)------------------------------
% 0.93/0.81 % (22615)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 0.93/0.81 % (22617)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.93/0.81 % (22604)Instruction limit reached!
% 0.93/0.81 % (22604)------------------------------
% 0.93/0.81 % (22604)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.93/0.81 % (22604)Termination reason: Unknown
% 0.93/0.81 % (22604)Termination phase: Saturation
% 0.93/0.81
% 0.93/0.81 % (22604)Memory used [KB]: 1926
% 0.93/0.81 % (22604)Time elapsed: 0.029 s
% 0.93/0.81 % (22604)Instructions burned: 54 (million)
% 0.93/0.81 % (22604)------------------------------
% 0.93/0.81 % (22604)------------------------------
% 0.93/0.82 % (22593)Instruction limit reached!
% 0.93/0.82 % (22593)------------------------------
% 0.93/0.82 % (22593)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.93/0.82 % (22593)Termination reason: Unknown
% 0.93/0.82 % (22593)Termination phase: Saturation
% 0.93/0.82
% 0.93/0.82 % (22593)Memory used [KB]: 1903
% 0.93/0.82 % (22593)Time elapsed: 0.050 s
% 0.93/0.82 % (22593)Instructions burned: 94 (million)
% 0.93/0.82 % (22593)------------------------------
% 0.93/0.82 % (22593)------------------------------
% 0.93/0.82 % (22623)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.93/0.82 % (22606)Instruction limit reached!
% 0.93/0.82 % (22606)------------------------------
% 0.93/0.82 % (22606)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.93/0.82 % (22606)Termination reason: Unknown
% 0.93/0.82 % (22606)Termination phase: Saturation
% 0.93/0.82
% 0.93/0.82 % (22606)Memory used [KB]: 1622
% 0.93/0.82 % (22606)Time elapsed: 0.047 s
% 0.93/0.82 % (22606)Instructions burned: 47 (million)
% 0.93/0.82 % (22606)------------------------------
% 0.93/0.82 % (22606)------------------------------
% 0.93/0.82 % (22626)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.93/0.83 % (22629)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.93/0.83 % (22615)First to succeed.
% 0.93/0.83 % (22587)Instruction limit reached!
% 0.93/0.83 % (22587)------------------------------
% 0.93/0.83 % (22587)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.93/0.83 % (22587)Termination reason: Unknown
% 0.93/0.83 % (22587)Termination phase: Saturation
% 0.93/0.83
% 0.93/0.83 % (22587)Memory used [KB]: 2257
% 0.93/0.83 % (22587)Time elapsed: 0.073 s
% 0.93/0.83 % (22587)Instructions burned: 243 (million)
% 0.93/0.83 % (22587)------------------------------
% 0.93/0.83 % (22587)------------------------------
% 0.93/0.83 % (22617)Instruction limit reached!
% 0.93/0.83 % (22617)------------------------------
% 0.93/0.83 % (22617)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.93/0.83 % (22617)Termination reason: Unknown
% 0.93/0.83 % (22617)Termination phase: Saturation
% 0.93/0.83
% 0.93/0.83 % (22617)Memory used [KB]: 1483
% 0.93/0.83 % (22617)Time elapsed: 0.019 s
% 0.93/0.83 % (22617)Instructions burned: 35 (million)
% 0.93/0.83 % (22617)------------------------------
% 0.93/0.83 % (22617)------------------------------
% 0.93/0.83 % (22629)Refutation not found, incomplete strategy% (22629)------------------------------
% 0.93/0.83 % (22629)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.93/0.83 % (22629)Termination reason: Refutation not found, incomplete strategy
% 0.93/0.83
% 0.93/0.83 % (22629)Memory used [KB]: 1269
% 0.93/0.83 % (22629)Time elapsed: 0.007 s
% 0.93/0.83 % (22629)Instructions burned: 9 (million)
% 0.93/0.83 % (22629)------------------------------
% 0.93/0.83 % (22629)------------------------------
% 0.93/0.83 % (22635)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.93/0.83 % (22615)Refutation found. Thanks to Tanya!
% 0.93/0.83 % SZS status Theorem for Vampire---4
% 0.93/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.93/0.83 % (22615)------------------------------
% 0.93/0.83 % (22615)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.93/0.83 % (22615)Termination reason: Refutation
% 0.93/0.83
% 0.93/0.83 % (22615)Memory used [KB]: 1349
% 0.93/0.83 % (22615)Time elapsed: 0.045 s
% 0.93/0.83 % (22615)Instructions burned: 35 (million)
% 0.93/0.83 % (22615)------------------------------
% 0.93/0.83 % (22615)------------------------------
% 0.93/0.83 % (22403)Success in time 0.488 s
% 0.93/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------