TSTP Solution File: LCL536+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL536+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 : Sun May 5 07:36:20 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of formulae : 52 ( 15 unt; 0 def)
% Number of atoms : 104 ( 5 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 91 ( 39 ~; 34 |; 0 &)
% ( 11 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 13 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 29 ( 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f467,plain,
$false,
inference(avatar_sat_refutation,[],[f382,f406,f415,f431,f441,f444,f447,f450,f466]) ).
fof(f466,plain,
( ~ spl1_38
| ~ spl1_44
| spl1_45
| ~ spl1_50 ),
inference(avatar_contradiction_clause,[],[f465]) ).
fof(f465,plain,
( $false
| ~ spl1_38
| ~ spl1_44
| spl1_45
| ~ spl1_50 ),
inference(resolution,[],[f463,f410]) ).
fof(f410,plain,
( ~ is_a_theorem(strict_implies(possibly(sK0),necessarily(possibly(sK0))))
| spl1_45 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f408,plain,
( spl1_45
<=> is_a_theorem(strict_implies(possibly(sK0),necessarily(possibly(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_45])]) ).
fof(f463,plain,
( ! [X0] : is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))
| ~ spl1_38
| ~ spl1_44
| ~ spl1_50 ),
inference(resolution,[],[f454,f405]) ).
fof(f405,plain,
( ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
| ~ spl1_44 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f404,plain,
( spl1_44
<=> ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_44])]) ).
fof(f454,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(strict_implies(X0,X1)) )
| ~ spl1_38
| ~ spl1_50 ),
inference(superposition,[],[f381,f430]) ).
fof(f430,plain,
( ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ spl1_50 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f429,plain,
( spl1_50
<=> ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_50])]) ).
fof(f381,plain,
( ! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) )
| ~ spl1_38 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f380,plain,
( spl1_38
<=> ! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_38])]) ).
fof(f450,plain,
~ spl1_46,
inference(avatar_split_clause,[],[f212,f412]) ).
fof(f412,plain,
( spl1_46
<=> axiom_m10 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_46])]) ).
fof(f212,plain,
~ axiom_m10,
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
~ axiom_m10,
inference(flattening,[],[f89]) ).
fof(f89,negated_conjecture,
~ axiom_m10,
inference(negated_conjecture,[],[f88]) ).
fof(f88,conjecture,
axiom_m10,
file('/export/starexec/sandbox/tmp/tmp.k9NZ5wQteX/Vampire---4.8_28969',s1_0_m10_axiom_m10) ).
fof(f447,plain,
spl1_49,
inference(avatar_split_clause,[],[f209,f425]) ).
fof(f425,plain,
( spl1_49
<=> op_strict_implies ),
introduced(avatar_definition,[new_symbols(naming,[spl1_49])]) ).
fof(f209,plain,
op_strict_implies,
inference(cnf_transformation,[],[f85]) ).
fof(f85,axiom,
op_strict_implies,
file('/export/starexec/sandbox/tmp/tmp.k9NZ5wQteX/Vampire---4.8_28969',s1_0_op_strict_implies) ).
fof(f444,plain,
spl1_43,
inference(avatar_split_clause,[],[f206,f400]) ).
fof(f400,plain,
( spl1_43
<=> axiom_5 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_43])]) ).
fof(f206,plain,
axiom_5,
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
axiom_5,
file('/export/starexec/sandbox/tmp/tmp.k9NZ5wQteX/Vampire---4.8_28969',km5_axiom_5) ).
fof(f441,plain,
spl1_37,
inference(avatar_split_clause,[],[f203,f376]) ).
fof(f376,plain,
( spl1_37
<=> necessitation ),
introduced(avatar_definition,[new_symbols(naming,[spl1_37])]) ).
fof(f203,plain,
necessitation,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
necessitation,
file('/export/starexec/sandbox/tmp/tmp.k9NZ5wQteX/Vampire---4.8_28969',km5_necessitation) ).
fof(f431,plain,
( ~ spl1_49
| spl1_50 ),
inference(avatar_split_clause,[],[f200,f429,f425]) ).
fof(f200,plain,
! [X0,X1] :
( strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
( op_strict_implies
=> ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.k9NZ5wQteX/Vampire---4.8_28969',op_strict_implies) ).
fof(f415,plain,
( ~ spl1_45
| spl1_46 ),
inference(avatar_split_clause,[],[f198,f412,f408]) ).
fof(f198,plain,
( axiom_m10
| ~ is_a_theorem(strict_implies(possibly(sK0),necessarily(possibly(sK0)))) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( axiom_m10
| ~ is_a_theorem(strict_implies(possibly(sK0),necessarily(possibly(sK0)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f152,f156]) ).
fof(f156,plain,
( ? [X0] : ~ is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))
=> ~ is_a_theorem(strict_implies(possibly(sK0),necessarily(possibly(sK0)))) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( axiom_m10
| ? [X0] : ~ is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0)))) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
( ! [X0] : is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))
=> axiom_m10 ),
inference(unused_predicate_definition_removal,[],[f72]) ).
fof(f72,axiom,
( axiom_m10
<=> ! [X0] : is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0)))) ),
file('/export/starexec/sandbox/tmp/tmp.k9NZ5wQteX/Vampire---4.8_28969',axiom_m10) ).
fof(f406,plain,
( ~ spl1_43
| spl1_44 ),
inference(avatar_split_clause,[],[f197,f404,f400]) ).
fof(f197,plain,
! [X0] :
( is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
| ~ axiom_5 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
| ~ axiom_5 ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
( axiom_5
=> ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
inference(unused_predicate_definition_removal,[],[f58]) ).
fof(f58,axiom,
( axiom_5
<=> ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
file('/export/starexec/sandbox/tmp/tmp.k9NZ5wQteX/Vampire---4.8_28969',axiom_5) ).
fof(f382,plain,
( ~ spl1_37
| spl1_38 ),
inference(avatar_split_clause,[],[f194,f380,f376]) ).
fof(f194,plain,
! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0)
| ~ necessitation ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) )
| ~ necessitation ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
( necessitation
=> ! [X0] :
( is_a_theorem(X0)
=> is_a_theorem(necessarily(X0)) ) ),
inference(unused_predicate_definition_removal,[],[f50]) ).
fof(f50,axiom,
( necessitation
<=> ! [X0] :
( is_a_theorem(X0)
=> is_a_theorem(necessarily(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.k9NZ5wQteX/Vampire---4.8_28969',necessitation) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LCL536+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n024.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 13:52:05 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.k9NZ5wQteX/Vampire---4.8_28969
% 0.56/0.74 % (29471)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)
% 0.56/0.74 % (29471)Refutation not found, incomplete strategy% (29471)------------------------------
% 0.56/0.74 % (29471)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (29471)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (29471)Memory used [KB]: 1089
% 0.56/0.74 % (29471)Time elapsed: 0.001 s
% 0.56/0.74 % (29471)Instructions burned: 2 (million)
% 0.56/0.74 % (29471)------------------------------
% 0.56/0.74 % (29471)------------------------------
% 0.56/0.74 % (29464)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)
% 0.56/0.74 % (29466)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (29465)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)
% 0.56/0.74 % (29468)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)
% 0.56/0.74 % (29469)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)
% 0.56/0.74 % (29467)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)
% 0.56/0.74 % (29470)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)
% 0.56/0.74 % (29464)Refutation not found, incomplete strategy% (29464)------------------------------
% 0.56/0.74 % (29464)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (29466)Refutation not found, incomplete strategy% (29466)------------------------------
% 0.56/0.74 % (29466)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (29464)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (29464)Memory used [KB]: 1089
% 0.56/0.74 % (29464)Time elapsed: 0.002 s
% 0.56/0.74 % (29464)Instructions burned: 2 (million)
% 0.56/0.74 % (29466)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (29466)Memory used [KB]: 1089
% 0.56/0.74 % (29466)Time elapsed: 0.002 s
% 0.56/0.74 % (29469)Refutation not found, incomplete strategy% (29469)------------------------------
% 0.56/0.74 % (29469)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (29469)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (29469)Memory used [KB]: 1089
% 0.56/0.74 % (29469)Time elapsed: 0.002 s
% 0.56/0.74 % (29469)Instructions burned: 2 (million)
% 0.56/0.74 % (29466)Instructions burned: 2 (million)
% 0.56/0.74 % (29467)Refutation not found, incomplete strategy% (29467)------------------------------
% 0.56/0.74 % (29467)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (29467)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (29467)Memory used [KB]: 1089
% 0.56/0.74 % (29467)Time elapsed: 0.002 s
% 0.56/0.74 % (29467)Instructions burned: 2 (million)
% 0.56/0.74 % (29464)------------------------------
% 0.56/0.74 % (29464)------------------------------
% 0.56/0.74 % (29469)------------------------------
% 0.56/0.74 % (29469)------------------------------
% 0.56/0.74 % (29470)Refutation not found, incomplete strategy% (29470)------------------------------
% 0.56/0.74 % (29470)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (29470)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (29470)Memory used [KB]: 1089
% 0.56/0.74 % (29470)Time elapsed: 0.002 s
% 0.56/0.74 % (29470)Instructions burned: 2 (million)
% 0.56/0.74 % (29467)------------------------------
% 0.56/0.74 % (29467)------------------------------
% 0.56/0.74 % (29466)------------------------------
% 0.56/0.74 % (29466)------------------------------
% 0.56/0.74 % (29470)------------------------------
% 0.56/0.74 % (29470)------------------------------
% 0.56/0.74 % (29468)Refutation not found, incomplete strategy% (29468)------------------------------
% 0.56/0.74 % (29468)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (29468)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (29468)Memory used [KB]: 1113
% 0.56/0.74 % (29468)Time elapsed: 0.003 s
% 0.56/0.74 % (29468)Instructions burned: 4 (million)
% 0.56/0.74 % (29474)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)
% 0.56/0.74 % (29468)------------------------------
% 0.56/0.74 % (29468)------------------------------
% 0.56/0.75 % (29465)First to succeed.
% 0.56/0.75 % (29465)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29241"
% 0.56/0.75 % (29476)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)
% 0.56/0.75 % (29477)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)
% 0.56/0.75 % (29479)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)
% 0.56/0.75 % (29480)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)
% 0.56/0.75 % (29465)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (29465)------------------------------
% 0.56/0.75 % (29465)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (29465)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (29465)Memory used [KB]: 1208
% 0.56/0.75 % (29465)Time elapsed: 0.006 s
% 0.56/0.75 % (29465)Instructions burned: 7 (million)
% 0.56/0.75 % (29241)Success in time 0.379 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------