TSTP Solution File: SEU189+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU189+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 : n020.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 03:50:34 EDT 2024
% Result : Theorem 0.60s 0.82s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 4 unt; 0 def)
% Number of atoms : 112 ( 63 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 122 ( 49 ~; 49 |; 14 &)
% ( 4 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 11 ( 7 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f114,plain,
$false,
inference(avatar_sat_refutation,[],[f84,f85,f99,f113]) ).
fof(f113,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_contradiction_clause,[],[f112]) ).
fof(f112,plain,
( $false
| ~ spl5_1
| spl5_2 ),
inference(subsumption_resolution,[],[f111,f57]) ).
fof(f57,plain,
empty_set = relation_rng(empty_set),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
( empty_set = relation_rng(empty_set)
& empty_set = relation_dom(empty_set) ),
file('/export/starexec/sandbox/tmp/tmp.jUq11nJ0iy/Vampire---4.8_31577',t60_relat_1) ).
fof(f111,plain,
( empty_set != relation_rng(empty_set)
| ~ spl5_1
| spl5_2 ),
inference(superposition,[],[f83,f107]) ).
fof(f107,plain,
( empty_set = sK0
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f104,f51]) ).
fof(f51,plain,
relation(sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( empty_set != relation_rng(sK0)
| empty_set != relation_dom(sK0) )
& ( empty_set = relation_rng(sK0)
| empty_set = relation_dom(sK0) )
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f40,f41]) ).
fof(f41,plain,
( ? [X0] :
( ( relation_rng(X0) != empty_set
| relation_dom(X0) != empty_set )
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) )
=> ( ( empty_set != relation_rng(sK0)
| empty_set != relation_dom(sK0) )
& ( empty_set = relation_rng(sK0)
| empty_set = relation_dom(sK0) )
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
? [X0] :
( ( relation_rng(X0) != empty_set
| relation_dom(X0) != empty_set )
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
? [X0] :
( ( relation_rng(X0) != empty_set
| relation_dom(X0) != empty_set )
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
? [X0] :
( ( relation_dom(X0) = empty_set
<~> relation_rng(X0) = empty_set )
& relation(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( relation_dom(X0) = empty_set
<=> relation_rng(X0) = empty_set ) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X0] :
( relation(X0)
=> ( relation_dom(X0) = empty_set
<=> relation_rng(X0) = empty_set ) ),
file('/export/starexec/sandbox/tmp/tmp.jUq11nJ0iy/Vampire---4.8_31577',t65_relat_1) ).
fof(f104,plain,
( empty_set = sK0
| ~ relation(sK0)
| ~ spl5_1 ),
inference(trivial_inequality_removal,[],[f103]) ).
fof(f103,plain,
( empty_set != empty_set
| empty_set = sK0
| ~ relation(sK0)
| ~ spl5_1 ),
inference(superposition,[],[f54,f78]) ).
fof(f78,plain,
( empty_set = relation_dom(sK0)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl5_1
<=> empty_set = relation_dom(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f54,plain,
! [X0] :
( relation_dom(X0) != empty_set
| empty_set = X0
| ~ relation(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( empty_set = X0
| ( relation_rng(X0) != empty_set
& relation_dom(X0) != empty_set )
| ~ relation(X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0] :
( empty_set = X0
| ( relation_rng(X0) != empty_set
& relation_dom(X0) != empty_set )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( relation(X0)
=> ( ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
=> empty_set = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.jUq11nJ0iy/Vampire---4.8_31577',t64_relat_1) ).
fof(f83,plain,
( empty_set != relation_rng(sK0)
| spl5_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl5_2
<=> empty_set = relation_rng(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f99,plain,
( spl5_1
| ~ spl5_2 ),
inference(avatar_contradiction_clause,[],[f98]) ).
fof(f98,plain,
( $false
| spl5_1
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f96,f56]) ).
fof(f56,plain,
empty_set = relation_dom(empty_set),
inference(cnf_transformation,[],[f25]) ).
fof(f96,plain,
( empty_set != relation_dom(empty_set)
| spl5_1
| ~ spl5_2 ),
inference(superposition,[],[f79,f93]) ).
fof(f93,plain,
( empty_set = sK0
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f90,f51]) ).
fof(f90,plain,
( empty_set = sK0
| ~ relation(sK0)
| ~ spl5_2 ),
inference(trivial_inequality_removal,[],[f89]) ).
fof(f89,plain,
( empty_set != empty_set
| empty_set = sK0
| ~ relation(sK0)
| ~ spl5_2 ),
inference(superposition,[],[f55,f82]) ).
fof(f82,plain,
( empty_set = relation_rng(sK0)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f55,plain,
! [X0] :
( relation_rng(X0) != empty_set
| empty_set = X0
| ~ relation(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f79,plain,
( empty_set != relation_dom(sK0)
| spl5_1 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f85,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f52,f81,f77]) ).
fof(f52,plain,
( empty_set = relation_rng(sK0)
| empty_set = relation_dom(sK0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f84,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f53,f81,f77]) ).
fof(f53,plain,
( empty_set != relation_rng(sK0)
| empty_set != relation_dom(sK0) ),
inference(cnf_transformation,[],[f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU189+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % 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
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 16:14:46 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.34 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.jUq11nJ0iy/Vampire---4.8_31577
% 0.60/0.82 % (31687)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 (2995ds/34Mi)
% 0.60/0.82 % (31690)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.82 % (31689)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.82 % (31688)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 (2995ds/51Mi)
% 0.60/0.82 % (31694)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 (2995ds/56Mi)
% 0.60/0.82 % (31692)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.82 % (31691)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 (2995ds/34Mi)
% 0.60/0.82 % (31693)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 (2995ds/83Mi)
% 0.60/0.82 % (31694)Refutation not found, incomplete strategy% (31694)------------------------------
% 0.60/0.82 % (31694)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (31694)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (31694)Memory used [KB]: 978
% 0.60/0.82 % (31694)Time elapsed: 0.003 s
% 0.60/0.82 % (31694)Instructions burned: 3 (million)
% 0.60/0.82 % (31694)------------------------------
% 0.60/0.82 % (31694)------------------------------
% 0.60/0.82 % (31691)Refutation not found, incomplete strategy% (31691)------------------------------
% 0.60/0.82 % (31691)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (31691)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (31691)Memory used [KB]: 981
% 0.60/0.82 % (31691)Time elapsed: 0.003 s
% 0.60/0.82 % (31691)Instructions burned: 3 (million)
% 0.60/0.82 % (31691)------------------------------
% 0.60/0.82 % (31691)------------------------------
% 0.60/0.82 % (31692)First to succeed.
% 0.60/0.82 % (31693)Also succeeded, but the first one will report.
% 0.60/0.82 % (31689)Also succeeded, but the first one will report.
% 0.60/0.82 % (31692)Refutation found. Thanks to Tanya!
% 0.60/0.82 % SZS status Theorem for Vampire---4
% 0.60/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.82 % (31692)------------------------------
% 0.60/0.82 % (31692)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (31692)Termination reason: Refutation
% 0.60/0.82
% 0.60/0.82 % (31692)Memory used [KB]: 983
% 0.60/0.82 % (31692)Time elapsed: 0.004 s
% 0.60/0.82 % (31692)Instructions burned: 4 (million)
% 0.60/0.82 % (31692)------------------------------
% 0.60/0.82 % (31692)------------------------------
% 0.60/0.82 % (31685)Success in time 0.471 s
% 0.60/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------