TSTP Solution File: LCL469+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL469+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 : n005.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 03:13:29 EDT 2024
% Result : Theorem 0.54s 0.75s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of formulae : 52 ( 15 unt; 0 def)
% Number of atoms : 97 ( 11 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 79 ( 34 ~; 29 |; 0 &)
% ( 11 <=>; 5 =>; 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 : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 46 ( 42 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f230,plain,
$false,
inference(avatar_sat_refutation,[],[f122,f138,f154,f162,f175,f178,f179,f181,f229]) ).
fof(f229,plain,
( spl2_5
| ~ spl2_10
| ~ spl2_14
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f226]) ).
fof(f226,plain,
( $false
| spl2_5
| ~ spl2_10
| ~ spl2_14
| ~ spl2_16 ),
inference(resolution,[],[f220,f117]) ).
fof(f117,plain,
( ~ is_a_theorem(implies(sK0,or(sK0,sK1)))
| spl2_5 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl2_5
<=> is_a_theorem(implies(sK0,or(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f220,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1)))
| ~ spl2_10
| ~ spl2_14
| ~ spl2_16 ),
inference(superposition,[],[f137,f204]) ).
fof(f204,plain,
( ! [X0,X1] : or(X0,X1) = implies(not(X0),X1)
| ~ spl2_14
| ~ spl2_16 ),
inference(superposition,[],[f153,f161]) ).
fof(f161,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl2_16
<=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
fof(f153,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl2_14
<=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f137,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl2_10
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f181,plain,
~ spl2_6,
inference(avatar_split_clause,[],[f97,f119]) ).
fof(f119,plain,
( spl2_6
<=> or_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f97,plain,
~ or_1,
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
~ or_1,
inference(flattening,[],[f44]) ).
fof(f44,negated_conjecture,
~ or_1,
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
or_1,
file('/export/starexec/sandbox/tmp/tmp.ztvAkJV5fN/Vampire---4.8_30086',hilbert_or_1) ).
fof(f179,plain,
spl2_15,
inference(avatar_split_clause,[],[f95,f156]) ).
fof(f156,plain,
( spl2_15
<=> op_implies_and ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f95,plain,
op_implies_and,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
op_implies_and,
file('/export/starexec/sandbox/tmp/tmp.ztvAkJV5fN/Vampire---4.8_30086',hilbert_op_implies_and) ).
fof(f178,plain,
spl2_13,
inference(avatar_split_clause,[],[f94,f148]) ).
fof(f148,plain,
( spl2_13
<=> op_or ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f94,plain,
op_or,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
op_or,
file('/export/starexec/sandbox/tmp/tmp.ztvAkJV5fN/Vampire---4.8_30086',hilbert_op_or) ).
fof(f175,plain,
spl2_9,
inference(avatar_split_clause,[],[f91,f132]) ).
fof(f132,plain,
( spl2_9
<=> cn2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f91,plain,
cn2,
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
cn2,
file('/export/starexec/sandbox/tmp/tmp.ztvAkJV5fN/Vampire---4.8_30086',luka_cn2) ).
fof(f162,plain,
( ~ spl2_15
| spl2_16 ),
inference(avatar_split_clause,[],[f85,f160,f156]) ).
fof(f85,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox/tmp/tmp.ztvAkJV5fN/Vampire---4.8_30086',op_implies_and) ).
fof(f154,plain,
( ~ spl2_13
| spl2_14 ),
inference(avatar_split_clause,[],[f84,f152,f148]) ).
fof(f84,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox/tmp/tmp.ztvAkJV5fN/Vampire---4.8_30086',op_or) ).
fof(f138,plain,
( ~ spl2_9
| spl2_10 ),
inference(avatar_split_clause,[],[f82,f136,f132]) ).
fof(f82,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
( cn2
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(unused_predicate_definition_removal,[],[f49]) ).
fof(f49,plain,
( cn2
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
( cn2
<=> ! [X3,X4] : is_a_theorem(implies(X3,implies(not(X3),X4))) ),
file('/export/starexec/sandbox/tmp/tmp.ztvAkJV5fN/Vampire---4.8_30086',cn2) ).
fof(f122,plain,
( ~ spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f80,f119,f115]) ).
fof(f80,plain,
( or_1
| ~ is_a_theorem(implies(sK0,or(sK0,sK1))) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( or_1
| ~ is_a_theorem(implies(sK0,or(sK0,sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f69,f76]) ).
fof(f76,plain,
( ? [X0,X1] : ~ is_a_theorem(implies(X0,or(X0,X1)))
=> ~ is_a_theorem(implies(sK0,or(sK0,sK1))) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
( or_1
| ? [X0,X1] : ~ is_a_theorem(implies(X0,or(X0,X1))) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1)))
=> or_1 ),
inference(unused_predicate_definition_removal,[],[f10]) ).
fof(f10,axiom,
( or_1
<=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
file('/export/starexec/sandbox/tmp/tmp.ztvAkJV5fN/Vampire---4.8_30086',or_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL469+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.15 % 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
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 16:39:56 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.ztvAkJV5fN/Vampire---4.8_30086
% 0.54/0.74 % (30201)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)
% 0.54/0.74 % (30201)Refutation not found, incomplete strategy% (30201)------------------------------
% 0.54/0.74 % (30201)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.74 % (30201)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (30201)Memory used [KB]: 985
% 0.54/0.74 % (30201)Time elapsed: 0.001 s
% 0.54/0.74 % (30201)Instructions burned: 2 (million)
% 0.54/0.74 % (30201)------------------------------
% 0.54/0.74 % (30201)------------------------------
% 0.54/0.74 % (30194)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)
% 0.54/0.74 % (30196)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74 % (30195)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)
% 0.54/0.74 % (30198)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)
% 0.54/0.74 % (30199)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)
% 0.54/0.74 % (30200)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)
% 0.54/0.74 % (30197)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)
% 0.54/0.74 % (30196)Refutation not found, incomplete strategy% (30196)------------------------------
% 0.54/0.74 % (30196)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.74 % (30196)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74 % (30194)Refutation not found, incomplete strategy% (30194)------------------------------
% 0.54/0.74 % (30194)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.74 % (30194)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (30194)Memory used [KB]: 985
% 0.54/0.74 % (30194)Time elapsed: 0.002 s
% 0.54/0.74 % (30194)Instructions burned: 2 (million)
% 0.54/0.74 % (30194)------------------------------
% 0.54/0.74 % (30194)------------------------------
% 0.54/0.74
% 0.54/0.74 % (30196)Memory used [KB]: 984
% 0.54/0.74 % (30196)Time elapsed: 0.002 s
% 0.54/0.74 % (30196)Instructions burned: 2 (million)
% 0.54/0.74 % (30196)------------------------------
% 0.54/0.74 % (30196)------------------------------
% 0.54/0.74 % (30199)Refutation not found, incomplete strategy% (30199)------------------------------
% 0.54/0.74 % (30199)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.74 % (30199)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (30199)Memory used [KB]: 985
% 0.54/0.74 % (30197)Refutation not found, incomplete strategy% (30197)------------------------------
% 0.54/0.74 % (30197)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.74 % (30197)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (30197)Memory used [KB]: 985
% 0.54/0.74 % (30197)Time elapsed: 0.002 s
% 0.54/0.74 % (30197)Instructions burned: 2 (million)
% 0.54/0.74 % (30197)------------------------------
% 0.54/0.74 % (30197)------------------------------
% 0.54/0.74 % (30199)Time elapsed: 0.002 s
% 0.54/0.74 % (30199)Instructions burned: 2 (million)
% 0.54/0.74 % (30199)------------------------------
% 0.54/0.74 % (30199)------------------------------
% 0.54/0.74 % (30200)Refutation not found, incomplete strategy% (30200)------------------------------
% 0.54/0.74 % (30200)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.74 % (30200)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (30200)Memory used [KB]: 985
% 0.54/0.74 % (30200)Time elapsed: 0.002 s
% 0.54/0.74 % (30200)Instructions burned: 2 (million)
% 0.54/0.74 % (30200)------------------------------
% 0.54/0.74 % (30200)------------------------------
% 0.54/0.74 % (30198)Refutation not found, incomplete strategy% (30198)------------------------------
% 0.54/0.74 % (30198)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.74 % (30198)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (30198)Memory used [KB]: 1063
% 0.54/0.74 % (30198)Time elapsed: 0.003 s
% 0.54/0.74 % (30198)Instructions burned: 3 (million)
% 0.54/0.74 % (30198)------------------------------
% 0.54/0.74 % (30198)------------------------------
% 0.54/0.74 % (30202)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)
% 0.54/0.74 % (30195)First to succeed.
% 0.54/0.75 % (30203)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)
% 0.54/0.75 % (30204)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)
% 0.54/0.75 % (30205)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)
% 0.54/0.75 % (30206)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)
% 0.54/0.75 % (30195)Refutation found. Thanks to Tanya!
% 0.54/0.75 % SZS status Theorem for Vampire---4
% 0.54/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75 % (30195)------------------------------
% 0.54/0.75 % (30195)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75 % (30195)Termination reason: Refutation
% 0.54/0.75
% 0.54/0.75 % (30195)Memory used [KB]: 1124
% 0.54/0.75 % (30195)Time elapsed: 0.006 s
% 0.54/0.75 % (30195)Instructions burned: 6 (million)
% 0.54/0.75 % (30195)------------------------------
% 0.54/0.75 % (30195)------------------------------
% 0.54/0.75 % (30193)Success in time 0.378 s
% 0.54/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------