TSTP Solution File: CAT009-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : CAT009-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : n013.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 04:43:06 EDT 2024
% Result : Unsatisfiable 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 48 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 23 ~; 18 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f110,plain,
$false,
inference(avatar_sat_refutation,[],[f66,f68,f106,f109]) ).
fof(f109,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f107]) ).
fof(f107,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f105,f27]) ).
fof(f27,plain,
there_exists(domain(a)),
inference(resolution,[],[f6,f18]) ).
fof(f18,axiom,
there_exists(compose(a,b)),
file('/export/starexec/sandbox/tmp/tmp.MGIQ5eNlWa/Vampire---4.8_1965',ab_exists) ).
fof(f6,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.MGIQ5eNlWa/Vampire---4.8_1965',composition_implies_domain) ).
fof(f105,plain,
( ~ there_exists(domain(a))
| spl0_7 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl0_7
<=> there_exists(domain(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f106,plain,
( ~ spl0_7
| spl0_1 ),
inference(avatar_split_clause,[],[f99,f59,f103]) ).
fof(f59,plain,
( spl0_1
<=> there_exists(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f99,plain,
( there_exists(b)
| ~ there_exists(domain(a)) ),
inference(resolution,[],[f50,f18]) ).
fof(f50,plain,
! [X0,X1] :
( ~ there_exists(compose(X1,X0))
| there_exists(X0)
| ~ there_exists(domain(X1)) ),
inference(superposition,[],[f5,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( domain(X0) = codomain(X1)
| ~ there_exists(compose(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.MGIQ5eNlWa/Vampire---4.8_1965',domain_codomain_composition1) ).
fof(f5,axiom,
! [X0] :
( ~ there_exists(codomain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox/tmp/tmp.MGIQ5eNlWa/Vampire---4.8_1965',codomain_has_elements) ).
fof(f68,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f67]) ).
fof(f67,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f65,f18]) ).
fof(f65,plain,
( ~ there_exists(compose(a,b))
| spl0_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_2
<=> there_exists(compose(a,b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f66,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f57,f63,f59]) ).
fof(f57,plain,
( ~ there_exists(compose(a,b))
| ~ there_exists(b) ),
inference(superposition,[],[f56,f10]) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox/tmp/tmp.MGIQ5eNlWa/Vampire---4.8_1965',compose_domain) ).
fof(f56,plain,
! [X0] :
( ~ there_exists(compose(a,compose(b,X0)))
| ~ there_exists(compose(b,X0)) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( domain(b) != domain(X1)
| ~ there_exists(compose(a,compose(b,X0)))
| ~ there_exists(compose(X1,X0)) ),
inference(superposition,[],[f53,f7]) ).
fof(f53,plain,
! [X0] :
( codomain(X0) != domain(b)
| ~ there_exists(compose(a,compose(b,X0))) ),
inference(forward_demodulation,[],[f45,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.MGIQ5eNlWa/Vampire---4.8_1965',associativity_of_compose) ).
fof(f45,plain,
! [X0] :
( codomain(X0) != domain(b)
| ~ there_exists(compose(compose(a,b),X0)) ),
inference(superposition,[],[f19,f7]) ).
fof(f19,axiom,
domain(compose(a,b)) != domain(b),
file('/export/starexec/sandbox/tmp/tmp.MGIQ5eNlWa/Vampire---4.8_1965',prove_domain_of_ab_equals_domain_of_b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : CAT009-3 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.14 % 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
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 18:11:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_SEQ_NHN 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.MGIQ5eNlWa/Vampire---4.8_1965
% 0.55/0.74 % (2394)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)
% 0.55/0.74 % (2394)Refutation not found, incomplete strategy% (2394)------------------------------
% 0.55/0.74 % (2394)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (2394)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (2394)Memory used [KB]: 960
% 0.55/0.74 % (2394)Time elapsed: 0.002 s
% 0.55/0.74 % (2394)Instructions burned: 2 (million)
% 0.55/0.74 % (2394)------------------------------
% 0.55/0.74 % (2394)------------------------------
% 0.55/0.74 % (2387)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)
% 0.55/0.74 % (2389)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74 % (2388)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)
% 0.55/0.74 % (2390)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)
% 0.55/0.74 % (2392)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)
% 0.55/0.74 % (2391)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)
% 0.55/0.74 % (2393)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)
% 0.55/0.74 % (2392)Refutation not found, incomplete strategy% (2392)------------------------------
% 0.55/0.74 % (2392)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (2392)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (2392)Memory used [KB]: 973
% 0.55/0.74 % (2392)Time elapsed: 0.002 s
% 0.55/0.74 % (2390)Refutation not found, incomplete strategy% (2390)------------------------------
% 0.55/0.74 % (2390)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (2390)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (2390)Memory used [KB]: 975
% 0.55/0.74 % (2390)Time elapsed: 0.002 s
% 0.55/0.74 % (2390)Instructions burned: 2 (million)
% 0.55/0.74 % (2392)Instructions burned: 2 (million)
% 0.55/0.74 % (2391)Refutation not found, incomplete strategy% (2391)------------------------------
% 0.55/0.74 % (2391)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (2391)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (2391)Memory used [KB]: 977
% 0.55/0.74 % (2391)Time elapsed: 0.003 s
% 0.55/0.74 % (2391)Instructions burned: 2 (million)
% 0.55/0.74 % (2390)------------------------------
% 0.55/0.74 % (2390)------------------------------
% 0.55/0.74 % (2392)------------------------------
% 0.55/0.74 % (2392)------------------------------
% 0.55/0.74 % (2387)Refutation not found, incomplete strategy% (2387)------------------------------
% 0.55/0.74 % (2387)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (2387)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (2387)Memory used [KB]: 978
% 0.55/0.74 % (2387)Time elapsed: 0.003 s
% 0.55/0.74 % (2387)Instructions burned: 3 (million)
% 0.55/0.74 % (2391)------------------------------
% 0.55/0.74 % (2391)------------------------------
% 0.55/0.74 % (2387)------------------------------
% 0.55/0.74 % (2387)------------------------------
% 0.55/0.74 % (2397)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)
% 0.55/0.74 % (2388)First to succeed.
% 0.55/0.74 % (2388)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2244"
% 0.55/0.75 % (2388)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (2388)------------------------------
% 0.55/0.75 % (2388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (2388)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (2388)Memory used [KB]: 1017
% 0.55/0.75 % (2388)Time elapsed: 0.006 s
% 0.55/0.75 % (2388)Instructions burned: 6 (million)
% 0.55/0.75 % (2244)Success in time 0.384 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------