TSTP Solution File: LCL512+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL512+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 : Sun May 5 07:36:12 EDT 2024
% Result : Theorem 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 12 unt; 0 def)
% Number of atoms : 74 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 25 ~; 20 |; 0 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 10 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 30 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f222,plain,
$false,
inference(avatar_sat_refutation,[],[f122,f138,f170,f176,f181,f182,f221]) ).
fof(f221,plain,
( spl2_5
| ~ spl2_10
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f218]) ).
fof(f218,plain,
( $false
| spl2_5
| ~ spl2_10
| ~ spl2_18 ),
inference(resolution,[],[f215,f117]) ).
fof(f117,plain,
( ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK0,sK1)))
| spl2_5 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl2_5
<=> is_a_theorem(implies(equiv(sK0,sK1),implies(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f215,plain,
( ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
| ~ spl2_10
| ~ spl2_18 ),
inference(superposition,[],[f137,f169]) ).
fof(f169,plain,
( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl2_18
<=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).
fof(f137,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl2_10
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f182,plain,
~ spl2_6,
inference(avatar_split_clause,[],[f97,f119]) ).
fof(f119,plain,
( spl2_6
<=> equivalence_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f97,plain,
~ equivalence_1,
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
~ equivalence_1,
inference(flattening,[],[f44]) ).
fof(f44,negated_conjecture,
~ equivalence_1,
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
equivalence_1,
file('/export/starexec/sandbox2/tmp/tmp.8orqAk7Ikg/Vampire---4.8_3743',hilbert_equivalence_1) ).
fof(f181,plain,
spl2_17,
inference(avatar_split_clause,[],[f96,f164]) ).
fof(f164,plain,
( spl2_17
<=> op_equiv ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
fof(f96,plain,
op_equiv,
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
op_equiv,
file('/export/starexec/sandbox2/tmp/tmp.8orqAk7Ikg/Vampire---4.8_3743',hilbert_op_equiv) ).
fof(f176,plain,
spl2_9,
inference(avatar_split_clause,[],[f91,f132]) ).
fof(f132,plain,
( spl2_9
<=> kn2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f91,plain,
kn2,
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
kn2,
file('/export/starexec/sandbox2/tmp/tmp.8orqAk7Ikg/Vampire---4.8_3743',rosser_kn2) ).
fof(f170,plain,
( ~ spl2_17
| spl2_18 ),
inference(avatar_split_clause,[],[f85,f168,f164]) ).
fof(f85,plain,
! [X0,X1] :
( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
( op_equiv
=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.8orqAk7Ikg/Vampire---4.8_3743',op_equiv) ).
fof(f138,plain,
( ~ spl2_9
| spl2_10 ),
inference(avatar_split_clause,[],[f81,f136,f132]) ).
fof(f81,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ kn2 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
| ~ kn2 ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
( kn2
=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
inference(unused_predicate_definition_removal,[],[f46]) ).
fof(f46,plain,
( kn2
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
( kn2
<=> ! [X3,X4] : is_a_theorem(implies(and(X3,X4),X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.8orqAk7Ikg/Vampire---4.8_3743',kn2) ).
fof(f122,plain,
( ~ spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f79,f119,f115]) ).
fof(f79,plain,
( equivalence_1
| ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK0,sK1))) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( equivalence_1
| ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK0,sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f68,f75]) ).
fof(f75,plain,
( ? [X0,X1] : ~ is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
=> ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK0,sK1))) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
( equivalence_1
| ? [X0,X1] : ~ is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
( ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
=> equivalence_1 ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f13,axiom,
( equivalence_1
<=> ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.8orqAk7Ikg/Vampire---4.8_3743',equivalence_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL512+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % 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
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 14:24:01 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 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.8orqAk7Ikg/Vampire---4.8_3743
% 0.56/0.74 % (3919)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 % (3919)Refutation not found, incomplete strategy% (3919)------------------------------
% 0.56/0.74 % (3919)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (3919)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (3919)Memory used [KB]: 985
% 0.56/0.74 % (3919)Time elapsed: 0.002 s
% 0.56/0.74 % (3919)Instructions burned: 2 (million)
% 0.56/0.74 % (3915)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 % (3914)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 % (3916)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 % (3919)------------------------------
% 0.56/0.74 % (3919)------------------------------
% 0.56/0.74 % (3913)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 % (3918)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 % (3917)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 % (3916)Refutation not found, incomplete strategy% (3916)------------------------------
% 0.56/0.74 % (3916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (3916)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (3916)Memory used [KB]: 985
% 0.56/0.74 % (3916)Time elapsed: 0.002 s
% 0.56/0.74 % (3916)Instructions burned: 2 (million)
% 0.56/0.74 % (3913)Refutation not found, incomplete strategy% (3913)------------------------------
% 0.56/0.74 % (3913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (3913)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (3913)Memory used [KB]: 985
% 0.56/0.74 % (3913)Time elapsed: 0.002 s
% 0.56/0.74 % (3913)Instructions burned: 2 (million)
% 0.56/0.74 % (3918)Refutation not found, incomplete strategy% (3918)------------------------------
% 0.56/0.74 % (3918)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (3918)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (3918)Memory used [KB]: 985
% 0.56/0.74 % (3918)Time elapsed: 0.002 s
% 0.56/0.74 % (3918)Instructions burned: 2 (million)
% 0.56/0.74 % (3916)------------------------------
% 0.56/0.74 % (3916)------------------------------
% 0.56/0.74 % (3918)------------------------------
% 0.56/0.74 % (3918)------------------------------
% 0.56/0.74 % (3913)------------------------------
% 0.56/0.74 % (3913)------------------------------
% 0.56/0.74 % (3917)Refutation not found, incomplete strategy% (3917)------------------------------
% 0.56/0.74 % (3917)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (3917)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (3917)Memory used [KB]: 1063
% 0.56/0.74 % (3917)Time elapsed: 0.003 s
% 0.56/0.74 % (3917)Instructions burned: 3 (million)
% 0.56/0.74 % (3920)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 % (3917)------------------------------
% 0.56/0.74 % (3917)------------------------------
% 0.56/0.74 % (3920)Refutation not found, incomplete strategy% (3920)------------------------------
% 0.56/0.74 % (3920)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (3920)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (3920)Memory used [KB]: 985
% 0.56/0.74 % (3920)Time elapsed: 0.002 s
% 0.56/0.74 % (3920)Instructions burned: 2 (million)
% 0.56/0.74 % (3920)------------------------------
% 0.56/0.74 % (3920)------------------------------
% 0.56/0.74 % (3929)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)
% 0.56/0.74 % (3914)First to succeed.
% 0.56/0.74 % (3914)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3850"
% 0.56/0.74 % (3926)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 % (3930)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)
% 0.56/0.74 % (3914)Refutation found. Thanks to Tanya!
% 0.56/0.74 % SZS status Theorem for Vampire---4
% 0.56/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74 % (3914)------------------------------
% 0.56/0.74 % (3914)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (3914)Termination reason: Refutation
% 0.56/0.74
% 0.56/0.74 % (3914)Memory used [KB]: 1126
% 0.56/0.74 % (3914)Time elapsed: 0.006 s
% 0.56/0.74 % (3914)Instructions burned: 6 (million)
% 0.56/0.74 % (3850)Success in time 0.381 s
% 0.56/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------