TSTP Solution File: SEU219+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU219+3 : 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 : n004.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 03:50:49 EDT 2024
% Result : Theorem 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 6 unt; 0 def)
% Number of atoms : 121 ( 40 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 136 ( 55 ~; 49 |; 22 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 10 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f205,plain,
$false,
inference(avatar_sat_refutation,[],[f130,f138,f195]) ).
fof(f195,plain,
spl8_2,
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f194,plain,
( $false
| spl8_2 ),
inference(subsumption_resolution,[],[f193,f81]) ).
fof(f81,plain,
relation(sK0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( relation_dom(sK0) != relation_rng(function_inverse(sK0))
| relation_rng(sK0) != relation_dom(function_inverse(sK0)) )
& one_to_one(sK0)
& function(sK0)
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f43,f65]) ).
fof(f65,plain,
( ? [X0] :
( ( relation_dom(X0) != relation_rng(function_inverse(X0))
| relation_rng(X0) != relation_dom(function_inverse(X0)) )
& one_to_one(X0)
& function(X0)
& relation(X0) )
=> ( ( relation_dom(sK0) != relation_rng(function_inverse(sK0))
| relation_rng(sK0) != relation_dom(function_inverse(sK0)) )
& one_to_one(sK0)
& function(sK0)
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0] :
( ( relation_dom(X0) != relation_rng(function_inverse(X0))
| relation_rng(X0) != relation_dom(function_inverse(X0)) )
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
? [X0] :
( ( relation_dom(X0) != relation_rng(function_inverse(X0))
| relation_rng(X0) != relation_dom(function_inverse(X0)) )
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_dom(X0) = relation_rng(function_inverse(X0))
& relation_rng(X0) = relation_dom(function_inverse(X0)) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_dom(X0) = relation_rng(function_inverse(X0))
& relation_rng(X0) = relation_dom(function_inverse(X0)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tp7vROMG5Q/Vampire---4.8_31496',t55_funct_1) ).
fof(f193,plain,
( ~ relation(sK0)
| spl8_2 ),
inference(trivial_inequality_removal,[],[f191]) ).
fof(f191,plain,
( relation_dom(sK0) != relation_dom(sK0)
| ~ relation(sK0)
| spl8_2 ),
inference(superposition,[],[f175,f102]) ).
fof(f102,plain,
! [X0] :
( relation_dom(X0) = relation_rng(relation_inverse(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( relation_dom(X0) = relation_rng(relation_inverse(X0))
& relation_rng(X0) = relation_dom(relation_inverse(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( relation(X0)
=> ( relation_dom(X0) = relation_rng(relation_inverse(X0))
& relation_rng(X0) = relation_dom(relation_inverse(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tp7vROMG5Q/Vampire---4.8_31496',t37_relat_1) ).
fof(f175,plain,
( relation_dom(sK0) != relation_rng(relation_inverse(sK0))
| spl8_2 ),
inference(subsumption_resolution,[],[f174,f81]) ).
fof(f174,plain,
( relation_dom(sK0) != relation_rng(relation_inverse(sK0))
| ~ relation(sK0)
| spl8_2 ),
inference(subsumption_resolution,[],[f173,f82]) ).
fof(f82,plain,
function(sK0),
inference(cnf_transformation,[],[f66]) ).
fof(f173,plain,
( relation_dom(sK0) != relation_rng(relation_inverse(sK0))
| ~ function(sK0)
| ~ relation(sK0)
| spl8_2 ),
inference(subsumption_resolution,[],[f171,f83]) ).
fof(f83,plain,
one_to_one(sK0),
inference(cnf_transformation,[],[f66]) ).
fof(f171,plain,
( relation_dom(sK0) != relation_rng(relation_inverse(sK0))
| ~ one_to_one(sK0)
| ~ function(sK0)
| ~ relation(sK0)
| spl8_2 ),
inference(superposition,[],[f129,f89]) ).
fof(f89,plain,
! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> function_inverse(X0) = relation_inverse(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tp7vROMG5Q/Vampire---4.8_31496',d9_funct_1) ).
fof(f129,plain,
( relation_dom(sK0) != relation_rng(function_inverse(sK0))
| spl8_2 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl8_2
<=> relation_dom(sK0) = relation_rng(function_inverse(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f138,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f137]) ).
fof(f137,plain,
( $false
| spl8_1 ),
inference(subsumption_resolution,[],[f136,f81]) ).
fof(f136,plain,
( ~ relation(sK0)
| spl8_1 ),
inference(trivial_inequality_removal,[],[f135]) ).
fof(f135,plain,
( relation_dom(relation_inverse(sK0)) != relation_dom(relation_inverse(sK0))
| ~ relation(sK0)
| spl8_1 ),
inference(superposition,[],[f134,f101]) ).
fof(f101,plain,
! [X0] :
( relation_rng(X0) = relation_dom(relation_inverse(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f134,plain,
( relation_rng(sK0) != relation_dom(relation_inverse(sK0))
| spl8_1 ),
inference(subsumption_resolution,[],[f133,f81]) ).
fof(f133,plain,
( relation_rng(sK0) != relation_dom(relation_inverse(sK0))
| ~ relation(sK0)
| spl8_1 ),
inference(subsumption_resolution,[],[f132,f82]) ).
fof(f132,plain,
( relation_rng(sK0) != relation_dom(relation_inverse(sK0))
| ~ function(sK0)
| ~ relation(sK0)
| spl8_1 ),
inference(subsumption_resolution,[],[f131,f83]) ).
fof(f131,plain,
( relation_rng(sK0) != relation_dom(relation_inverse(sK0))
| ~ one_to_one(sK0)
| ~ function(sK0)
| ~ relation(sK0)
| spl8_1 ),
inference(superposition,[],[f125,f89]) ).
fof(f125,plain,
( relation_rng(sK0) != relation_dom(function_inverse(sK0))
| spl8_1 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl8_1
<=> relation_rng(sK0) = relation_dom(function_inverse(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f130,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f84,f127,f123]) ).
fof(f84,plain,
( relation_dom(sK0) != relation_rng(function_inverse(sK0))
| relation_rng(sK0) != relation_dom(function_inverse(sK0)) ),
inference(cnf_transformation,[],[f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU219+3 : 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
% 0.16/0.36 % Computer : n004.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 : Tue Apr 30 16:07:18 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.tp7vROMG5Q/Vampire---4.8_31496
% 0.56/0.75 % (31842)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)
% 0.56/0.75 % (31835)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)
% 0.56/0.75 % (31837)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (31836)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)
% 0.56/0.75 % (31839)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)
% 0.56/0.75 % (31838)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)
% 0.56/0.75 % (31842)Refutation not found, incomplete strategy% (31842)------------------------------
% 0.56/0.75 % (31842)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (31842)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (31842)Memory used [KB]: 992
% 0.56/0.75 % (31842)Time elapsed: 0.002 s
% 0.56/0.75 % (31842)Instructions burned: 3 (million)
% 0.56/0.75 % (31842)------------------------------
% 0.56/0.75 % (31842)------------------------------
% 0.56/0.75 % (31840)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)
% 0.56/0.75 % (31841)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)
% 0.56/0.76 % (31835)Refutation not found, incomplete strategy% (31835)------------------------------
% 0.56/0.76 % (31835)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (31835)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (31835)Memory used [KB]: 982
% 0.56/0.76 % (31835)Time elapsed: 0.004 s
% 0.56/0.76 % (31835)Instructions burned: 4 (million)
% 0.56/0.76 % (31835)------------------------------
% 0.56/0.76 % (31835)------------------------------
% 0.56/0.76 % (31839)Refutation not found, incomplete strategy% (31839)------------------------------
% 0.56/0.76 % (31839)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (31839)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (31839)Memory used [KB]: 1055
% 0.56/0.76 % (31839)Time elapsed: 0.004 s
% 0.56/0.76 % (31839)Instructions burned: 4 (million)
% 0.56/0.76 % (31839)------------------------------
% 0.56/0.76 % (31839)------------------------------
% 0.56/0.76 % (31840)First to succeed.
% 0.56/0.76 % (31840)Refutation found. Thanks to Tanya!
% 0.56/0.76 % SZS status Theorem for Vampire---4
% 0.56/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76 % (31840)------------------------------
% 0.56/0.76 % (31840)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (31840)Termination reason: Refutation
% 0.56/0.76
% 0.56/0.76 % (31840)Memory used [KB]: 1075
% 0.56/0.76 % (31840)Time elapsed: 0.005 s
% 0.56/0.76 % (31840)Instructions burned: 5 (million)
% 0.56/0.76 % (31840)------------------------------
% 0.56/0.76 % (31840)------------------------------
% 0.56/0.76 % (31682)Success in time 0.386 s
% 0.56/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------