TSTP Solution File: SEU010+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU010+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n025.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 09:19:56 EDT 2024
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 9 unt; 0 def)
% Number of atoms : 61 ( 23 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 56 ( 22 ~; 18 |; 8 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 24 ( 22 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f175,plain,
$false,
inference(avatar_sat_refutation,[],[f135,f172,f174]) ).
fof(f174,plain,
spl10_1,
inference(avatar_contradiction_clause,[],[f173]) ).
fof(f173,plain,
( $false
| spl10_1 ),
inference(subsumption_resolution,[],[f136,f130]) ).
fof(f130,plain,
( sK0 != relation_composition(sK0,identity_relation(relation_rng(sK0)))
| spl10_1 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl10_1
<=> sK0 = relation_composition(sK0,identity_relation(relation_rng(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f136,plain,
sK0 = relation_composition(sK0,identity_relation(relation_rng(sK0))),
inference(unit_resulting_resolution,[],[f107,f75,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ subset(relation_rng(X1),X0)
| ~ relation(X1)
| relation_composition(X1,identity_relation(X0)) = X1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( relation_composition(X1,identity_relation(X0)) = X1
| ~ subset(relation_rng(X1),X0)
| ~ relation(X1) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( relation_composition(X1,identity_relation(X0)) = X1
| ~ subset(relation_rng(X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( relation(X1)
=> ( subset(relation_rng(X1),X0)
=> relation_composition(X1,identity_relation(X0)) = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.uRTovn0Ipc/Vampire---4.8_31725',t79_relat_1) ).
fof(f75,plain,
relation(sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
? [X0] :
( ( relation_composition(X0,identity_relation(relation_rng(X0))) != X0
| relation_composition(identity_relation(relation_dom(X0)),X0) != X0 )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
? [X0] :
( ( relation_composition(X0,identity_relation(relation_rng(X0))) != X0
| relation_composition(identity_relation(relation_dom(X0)),X0) != X0 )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( relation_composition(X0,identity_relation(relation_rng(X0))) = X0
& relation_composition(identity_relation(relation_dom(X0)),X0) = X0 ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( relation_composition(X0,identity_relation(relation_rng(X0))) = X0
& relation_composition(identity_relation(relation_dom(X0)),X0) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.uRTovn0Ipc/Vampire---4.8_31725',t42_funct_1) ).
fof(f107,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.uRTovn0Ipc/Vampire---4.8_31725',reflexivity_r1_tarski) ).
fof(f172,plain,
spl10_2,
inference(avatar_split_clause,[],[f137,f132]) ).
fof(f132,plain,
( spl10_2
<=> sK0 = relation_composition(identity_relation(relation_dom(sK0)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f137,plain,
sK0 = relation_composition(identity_relation(relation_dom(sK0)),sK0),
inference(unit_resulting_resolution,[],[f107,f75,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ subset(relation_dom(X1),X0)
| ~ relation(X1)
| relation_composition(identity_relation(X0),X1) = X1 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( relation_composition(identity_relation(X0),X1) = X1
| ~ subset(relation_dom(X1),X0)
| ~ relation(X1) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( relation_composition(identity_relation(X0),X1) = X1
| ~ subset(relation_dom(X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
( relation(X1)
=> ( subset(relation_dom(X1),X0)
=> relation_composition(identity_relation(X0),X1) = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.uRTovn0Ipc/Vampire---4.8_31725',t77_relat_1) ).
fof(f135,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f74,f132,f128]) ).
fof(f74,plain,
( sK0 != relation_composition(identity_relation(relation_dom(sK0)),sK0)
| sK0 != relation_composition(sK0,identity_relation(relation_rng(sK0))) ),
inference(cnf_transformation,[],[f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU010+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15 % 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 : n025.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 11:47:28 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.uRTovn0Ipc/Vampire---4.8_31725
% 0.57/0.75 % (31925)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)
% 0.57/0.75 % (31924)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)
% 0.57/0.75 % (31918)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)
% 0.57/0.75 % (31925)Refutation not found, incomplete strategy% (31925)------------------------------
% 0.57/0.75 % (31925)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (31925)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (31925)Memory used [KB]: 969
% 0.57/0.75 % (31925)Time elapsed: 0.002 s
% 0.57/0.75 % (31925)Instructions burned: 3 (million)
% 0.57/0.75 % (31920)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (31922)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)
% 0.57/0.75 % (31921)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)
% 0.57/0.75 % (31919)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)
% 0.57/0.75 % (31923)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)
% 0.57/0.75 % (31925)------------------------------
% 0.57/0.75 % (31925)------------------------------
% 0.57/0.75 % (31924)First to succeed.
% 0.57/0.75 % (31924)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31877"
% 0.57/0.75 % (31924)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Theorem for Vampire---4
% 0.57/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75 % (31924)------------------------------
% 0.57/0.75 % (31924)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (31924)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (31924)Memory used [KB]: 1061
% 0.57/0.75 % (31924)Time elapsed: 0.003 s
% 0.57/0.75 % (31924)Instructions burned: 5 (million)
% 0.57/0.75 % (31877)Success in time 0.388 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------