TSTP Solution File: LCL542+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL542+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 03:13:52 EDT 2024
% Result : Theorem 0.58s 0.76s
% Output : Refutation 0.58s
% 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 : 3 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 13 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 36 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f485,plain,
$false,
inference(avatar_sat_refutation,[],[f273,f370,f387,f428,f444,f454,f461,f464,f484]) ).
fof(f484,plain,
( ~ spl2_14
| ~ spl2_38
| spl2_47
| ~ spl2_52 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f483,plain,
( $false
| ~ spl2_14
| ~ spl2_38
| spl2_47
| ~ spl2_52 ),
inference(resolution,[],[f471,f423]) ).
fof(f423,plain,
( ~ is_a_theorem(strict_implies(and(sK0,sK1),sK0))
| spl2_47 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f421,plain,
( spl2_47
<=> is_a_theorem(strict_implies(and(sK0,sK1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_47])]) ).
fof(f471,plain,
( ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0))
| ~ spl2_14
| ~ spl2_38
| ~ spl2_52 ),
inference(resolution,[],[f469,f272]) ).
fof(f272,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl2_14
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f469,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(strict_implies(X0,X1)) )
| ~ spl2_38
| ~ spl2_52 ),
inference(superposition,[],[f386,f443]) ).
fof(f443,plain,
( ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ spl2_52 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl2_52
<=> ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_52])]) ).
fof(f386,plain,
( ! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) )
| ~ spl2_38 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f385,plain,
( spl2_38
<=> ! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).
fof(f464,plain,
~ spl2_48,
inference(avatar_split_clause,[],[f217,f425]) ).
fof(f425,plain,
( spl2_48
<=> axiom_m2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_48])]) ).
fof(f217,plain,
~ axiom_m2,
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
~ axiom_m2,
inference(flattening,[],[f90]) ).
fof(f90,negated_conjecture,
~ axiom_m2,
inference(negated_conjecture,[],[f89]) ).
fof(f89,conjecture,
axiom_m2,
file('/export/starexec/sandbox2/tmp/tmp.cJ6KPW4aL1/Vampire---4.8_19314',s1_0_axiom_m2) ).
fof(f461,plain,
spl2_51,
inference(avatar_split_clause,[],[f214,f438]) ).
fof(f438,plain,
( spl2_51
<=> op_strict_implies ),
introduced(avatar_definition,[new_symbols(naming,[spl2_51])]) ).
fof(f214,plain,
op_strict_implies,
inference(cnf_transformation,[],[f86]) ).
fof(f86,axiom,
op_strict_implies,
file('/export/starexec/sandbox2/tmp/tmp.cJ6KPW4aL1/Vampire---4.8_19314',s1_0_op_strict_implies) ).
fof(f454,plain,
spl2_37,
inference(avatar_split_clause,[],[f207,f381]) ).
fof(f381,plain,
( spl2_37
<=> necessitation ),
introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).
fof(f207,plain,
necessitation,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
necessitation,
file('/export/starexec/sandbox2/tmp/tmp.cJ6KPW4aL1/Vampire---4.8_19314',km4b_necessitation) ).
fof(f444,plain,
( ~ spl2_51
| spl2_52 ),
inference(avatar_split_clause,[],[f204,f442,f438]) ).
fof(f204,plain,
! [X0,X1] :
( strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,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/sandbox2/tmp/tmp.cJ6KPW4aL1/Vampire---4.8_19314',op_strict_implies) ).
fof(f428,plain,
( ~ spl2_47
| spl2_48 ),
inference(avatar_split_clause,[],[f202,f425,f421]) ).
fof(f202,plain,
( axiom_m2
| ~ is_a_theorem(strict_implies(and(sK0,sK1),sK0)) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( axiom_m2
| ~ is_a_theorem(strict_implies(and(sK0,sK1),sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f155,f159]) ).
fof(f159,plain,
( ? [X0,X1] : ~ is_a_theorem(strict_implies(and(X0,X1),X0))
=> ~ is_a_theorem(strict_implies(and(sK0,sK1),sK0)) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
( axiom_m2
| ? [X0,X1] : ~ is_a_theorem(strict_implies(and(X0,X1),X0)) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
( ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0))
=> axiom_m2 ),
inference(unused_predicate_definition_removal,[],[f64]) ).
fof(f64,axiom,
( axiom_m2
<=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.cJ6KPW4aL1/Vampire---4.8_19314',axiom_m2) ).
fof(f387,plain,
( ~ spl2_37
| spl2_38 ),
inference(avatar_split_clause,[],[f197,f385,f381]) ).
fof(f197,plain,
! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0)
| ~ necessitation ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) )
| ~ necessitation ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,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/sandbox2/tmp/tmp.cJ6KPW4aL1/Vampire---4.8_19314',necessitation) ).
fof(f370,plain,
spl2_13,
inference(avatar_split_clause,[],[f187,f267]) ).
fof(f267,plain,
( spl2_13
<=> and_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f187,plain,
and_1,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
and_1,
file('/export/starexec/sandbox2/tmp/tmp.cJ6KPW4aL1/Vampire---4.8_19314',hilbert_and_1) ).
fof(f273,plain,
( ~ spl2_13
| spl2_14 ),
inference(avatar_split_clause,[],[f167,f271,f267]) ).
fof(f167,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
( and_1
=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f7,axiom,
( and_1
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.cJ6KPW4aL1/Vampire---4.8_19314',and_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL542+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.14 % 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
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 17:13:41 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 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.cJ6KPW4aL1/Vampire---4.8_19314
% 0.58/0.76 % (19527)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)
% 0.58/0.76 % (19526)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)
% 0.58/0.76 % (19527)Refutation not found, incomplete strategy% (19527)------------------------------
% 0.58/0.76 % (19527)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (19527)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (19526)Refutation not found, incomplete strategy% (19526)------------------------------
% 0.58/0.76 % (19526)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (19527)Memory used [KB]: 1094
% 0.58/0.76 % (19527)Time elapsed: 0.001 s
% 0.58/0.76 % (19527)Instructions burned: 2 (million)
% 0.58/0.76 % (19527)------------------------------
% 0.58/0.76 % (19527)------------------------------
% 0.58/0.76 % (19526)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (19526)Memory used [KB]: 1094
% 0.58/0.76 % (19526)Time elapsed: 0.002 s
% 0.58/0.76 % (19526)Instructions burned: 2 (million)
% 0.58/0.76 % (19526)------------------------------
% 0.58/0.76 % (19526)------------------------------
% 0.58/0.76 % (19522)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76 % (19520)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)
% 0.58/0.76 % (19523)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)
% 0.58/0.76 % (19521)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)
% 0.58/0.76 % (19524)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)
% 0.58/0.76 % (19525)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)
% 0.58/0.76 % (19522)Refutation not found, incomplete strategy% (19522)------------------------------
% 0.58/0.76 % (19522)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (19522)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (19522)Memory used [KB]: 1093
% 0.58/0.76 % (19522)Time elapsed: 0.002 s
% 0.58/0.76 % (19522)Instructions burned: 2 (million)
% 0.58/0.76 % (19522)------------------------------
% 0.58/0.76 % (19522)------------------------------
% 0.58/0.76 % (19520)Refutation not found, incomplete strategy% (19520)------------------------------
% 0.58/0.76 % (19520)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (19520)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (19520)Memory used [KB]: 1094
% 0.58/0.76 % (19520)Time elapsed: 0.002 s
% 0.58/0.76 % (19520)Instructions burned: 2 (million)
% 0.58/0.76 % (19520)------------------------------
% 0.58/0.76 % (19520)------------------------------
% 0.58/0.76 % (19523)Refutation not found, incomplete strategy% (19523)------------------------------
% 0.58/0.76 % (19523)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (19523)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (19523)Memory used [KB]: 1094
% 0.58/0.76 % (19523)Time elapsed: 0.002 s
% 0.58/0.76 % (19525)Refutation not found, incomplete strategy% (19525)------------------------------
% 0.58/0.76 % (19525)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (19523)Instructions burned: 2 (million)
% 0.58/0.76 % (19525)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (19523)------------------------------
% 0.58/0.76 % (19523)------------------------------
% 0.58/0.76 % (19525)Memory used [KB]: 1094
% 0.58/0.76 % (19525)Time elapsed: 0.002 s
% 0.58/0.76 % (19525)Instructions burned: 2 (million)
% 0.58/0.76 % (19525)------------------------------
% 0.58/0.76 % (19525)------------------------------
% 0.58/0.76 % (19524)Refutation not found, incomplete strategy% (19524)------------------------------
% 0.58/0.76 % (19524)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (19524)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (19524)Memory used [KB]: 1118
% 0.58/0.76 % (19524)Time elapsed: 0.003 s
% 0.58/0.76 % (19524)Instructions burned: 4 (million)
% 0.58/0.76 % (19524)------------------------------
% 0.58/0.76 % (19524)------------------------------
% 0.58/0.76 % (19521)First to succeed.
% 0.58/0.76 % (19521)Refutation found. Thanks to Tanya!
% 0.58/0.76 % SZS status Theorem for Vampire---4
% 0.58/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76 % (19521)------------------------------
% 0.58/0.76 % (19521)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (19521)Termination reason: Refutation
% 0.58/0.76
% 0.58/0.76 % (19521)Memory used [KB]: 1263
% 0.58/0.76 % (19521)Time elapsed: 0.006 s
% 0.58/0.76 % (19521)Instructions burned: 8 (million)
% 0.58/0.76 % (19521)------------------------------
% 0.58/0.76 % (19521)------------------------------
% 0.58/0.76 % (19437)Success in time 0.393 s
% 0.58/0.76 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.58/0.76 19437 Aborted by signal SIGABRT on /export/starexec/sandbox2/tmp/tmp.cJ6KPW4aL1/Vampire---4.8_19314
% 0.58/0.76 % (19437)------------------------------
% 0.58/0.76 % (19437)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (19437)Termination reason: Unknown
% 0.58/0.76 % (19437)Termination phase: Unknown
% 0.58/0.76
% 0.58/0.76 % (19437)Memory used [KB]: 538
% 0.58/0.76 % (19437)Time elapsed: 0.393 s
% 0.58/0.76 % (19437)Instructions burned: 958 (million)
% 0.58/0.76 % (19437)------------------------------
% 0.58/0.76 % (19437)------------------------------
% 0.58/0.76 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.76 ???
% 0.58/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------