TSTP Solution File: TOP005-2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : TOP005-2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 04:51:59 EDT 2024
% Result : Unsatisfiable 0.62s 0.80s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 36 ( 4 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 118 ( 62 ~; 54 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f57,f82]) ).
fof(f82,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f81]) ).
fof(f81,plain,
( $false
| ~ spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f80,f44]) ).
fof(f44,plain,
( element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl0_3
<=> element_of_set(f11(f,union_of_members(g)),union_of_members(g)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f80,plain,
( ~ element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| spl0_4 ),
inference(resolution,[],[f71,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( element_of_collection(f1(X1,X0),X1)
| ~ element_of_set(X0,union_of_members(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.zWv8wvhzjp/Vampire---4.8_29360',union_of_members_2) ).
fof(f71,plain,
( ~ element_of_collection(f1(g,f11(f,union_of_members(g))),g)
| spl0_4 ),
inference(resolution,[],[f49,f13]) ).
fof(f13,plain,
! [X0] :
( element_of_collection(X0,top_of_basis(f))
| ~ element_of_collection(X0,g) ),
inference(resolution,[],[f10,f11]) ).
fof(f11,axiom,
subset_collections(g,top_of_basis(f)),
file('/export/starexec/sandbox2/tmp/tmp.zWv8wvhzjp/Vampire---4.8_29360',lemma_1e_2) ).
fof(f10,axiom,
! [X2,X0,X4] :
( ~ subset_collections(X2,X4)
| ~ element_of_collection(X0,X2)
| element_of_collection(X0,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.zWv8wvhzjp/Vampire---4.8_29360',set_theory_21) ).
fof(f49,plain,
( ~ element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f))
| spl0_4 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl0_4
<=> element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f57,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f56]) ).
fof(f56,plain,
( $false
| spl0_3 ),
inference(subsumption_resolution,[],[f54,f12]) ).
fof(f12,axiom,
~ element_of_collection(union_of_members(g),top_of_basis(f)),
file('/export/starexec/sandbox2/tmp/tmp.zWv8wvhzjp/Vampire---4.8_29360',lemma_1e_3) ).
fof(f54,plain,
( element_of_collection(union_of_members(g),top_of_basis(f))
| spl0_3 ),
inference(resolution,[],[f45,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( element_of_set(f11(X1,X0),X0)
| element_of_collection(X0,top_of_basis(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.zWv8wvhzjp/Vampire---4.8_29360',topology_generated_40) ).
fof(f45,plain,
( ~ element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| spl0_3 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f50,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f41,f47,f43]) ).
fof(f41,plain,
( ~ element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f))
| ~ element_of_set(f11(f,union_of_members(g)),union_of_members(g)) ),
inference(duplicate_literal_removal,[],[f40]) ).
fof(f40,plain,
( ~ element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f))
| ~ element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| ~ element_of_set(f11(f,union_of_members(g)),union_of_members(g)) ),
inference(resolution,[],[f39,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( element_of_set(X0,f1(X1,X0))
| ~ element_of_set(X0,union_of_members(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.zWv8wvhzjp/Vampire---4.8_29360',union_of_members_1) ).
fof(f39,plain,
! [X0] :
( ~ element_of_set(f11(f,union_of_members(g)),f1(g,X0))
| ~ element_of_collection(f1(g,X0),top_of_basis(f))
| ~ element_of_set(X0,union_of_members(g)) ),
inference(duplicate_literal_removal,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ~ element_of_set(f11(f,union_of_members(g)),f1(g,X0))
| ~ element_of_collection(f1(g,X0),top_of_basis(f))
| ~ element_of_set(X0,union_of_members(g))
| ~ element_of_set(f11(f,union_of_members(g)),f1(g,X0))
| ~ element_of_collection(f1(g,X0),top_of_basis(f)) ),
inference(resolution,[],[f35,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( subset_sets(f10(X1,X0,X2),X0)
| ~ element_of_set(X2,X0)
| ~ element_of_collection(X0,top_of_basis(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.zWv8wvhzjp/Vampire---4.8_29360',topology_generated_39) ).
fof(f35,plain,
! [X0,X1] :
( ~ subset_sets(f10(f,X0,f11(f,union_of_members(g))),f1(g,X1))
| ~ element_of_set(f11(f,union_of_members(g)),X0)
| ~ element_of_collection(X0,top_of_basis(f))
| ~ element_of_set(X1,union_of_members(g)) ),
inference(resolution,[],[f32,f2]) ).
fof(f32,plain,
! [X0,X1] :
( ~ element_of_collection(X1,g)
| ~ element_of_collection(X0,top_of_basis(f))
| ~ element_of_set(f11(f,union_of_members(g)),X0)
| ~ subset_sets(f10(f,X0,f11(f,union_of_members(g))),X1) ),
inference(resolution,[],[f30,f9]) ).
fof(f9,axiom,
! [X2,X4,X5] :
( subset_sets(X2,union_of_members(X5))
| ~ element_of_collection(X4,X5)
| ~ subset_sets(X2,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.zWv8wvhzjp/Vampire---4.8_29360',set_theory_20) ).
fof(f30,plain,
! [X0] :
( ~ subset_sets(f10(f,X0,f11(f,union_of_members(g))),union_of_members(g))
| ~ element_of_set(f11(f,union_of_members(g)),X0)
| ~ element_of_collection(X0,top_of_basis(f)) ),
inference(duplicate_literal_removal,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ~ subset_sets(f10(f,X0,f11(f,union_of_members(g))),union_of_members(g))
| ~ element_of_set(f11(f,union_of_members(g)),X0)
| ~ element_of_collection(X0,top_of_basis(f))
| ~ element_of_set(f11(f,union_of_members(g)),X0)
| ~ element_of_collection(X0,top_of_basis(f)) ),
inference(resolution,[],[f17,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( element_of_set(X2,f10(X1,X0,X2))
| ~ element_of_set(X2,X0)
| ~ element_of_collection(X0,top_of_basis(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.zWv8wvhzjp/Vampire---4.8_29360',topology_generated_37) ).
fof(f17,plain,
! [X0,X1] :
( ~ element_of_set(f11(f,union_of_members(g)),f10(f,X0,X1))
| ~ subset_sets(f10(f,X0,X1),union_of_members(g))
| ~ element_of_set(X1,X0)
| ~ element_of_collection(X0,top_of_basis(f)) ),
inference(resolution,[],[f15,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( element_of_collection(f10(X1,X0,X2),X1)
| ~ element_of_set(X2,X0)
| ~ element_of_collection(X0,top_of_basis(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.zWv8wvhzjp/Vampire---4.8_29360',topology_generated_38) ).
fof(f15,plain,
! [X0] :
( ~ element_of_collection(X0,f)
| ~ element_of_set(f11(f,union_of_members(g)),X0)
| ~ subset_sets(X0,union_of_members(g)) ),
inference(resolution,[],[f7,f12]) ).
fof(f7,axiom,
! [X3,X0,X1] :
( element_of_collection(X0,top_of_basis(X1))
| ~ element_of_collection(X3,X1)
| ~ element_of_set(f11(X1,X0),X3)
| ~ subset_sets(X3,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.zWv8wvhzjp/Vampire---4.8_29360',topology_generated_41) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : TOP005-2 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.11 % 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
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Tue Apr 30 17:28:06 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.31 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.16/0.31 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.zWv8wvhzjp/Vampire---4.8_29360
% 0.62/0.80 % (29475)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80 % (29477)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)
% 0.62/0.80 % (29473)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)
% 0.62/0.80 % (29476)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)
% 0.62/0.80 % (29478)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)
% 0.62/0.80 % (29479)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)
% 0.62/0.80 % (29474)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)
% 0.62/0.80 % (29480)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)
% 0.62/0.80 % (29478)Refutation not found, incomplete strategy% (29478)------------------------------
% 0.62/0.80 % (29478)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (29478)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80 % (29476)Refutation not found, incomplete strategy% (29476)------------------------------
% 0.62/0.80 % (29476)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (29476)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (29476)Memory used [KB]: 950
% 0.62/0.80 % (29476)Time elapsed: 0.003 s
% 0.62/0.80 % (29476)Instructions burned: 2 (million)
% 0.62/0.80 % (29476)------------------------------
% 0.62/0.80 % (29476)------------------------------
% 0.62/0.80
% 0.62/0.80 % (29478)Memory used [KB]: 950
% 0.62/0.80 % (29480)Refutation not found, incomplete strategy% (29480)------------------------------
% 0.62/0.80 % (29480)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (29480)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (29480)Memory used [KB]: 950
% 0.62/0.80 % (29480)Time elapsed: 0.002 s
% 0.62/0.80 % (29480)Instructions burned: 2 (million)
% 0.62/0.80 % (29480)------------------------------
% 0.62/0.80 % (29480)------------------------------
% 0.62/0.80 % (29478)Time elapsed: 0.003 s
% 0.62/0.80 % (29478)Instructions burned: 2 (million)
% 0.62/0.80 % (29478)------------------------------
% 0.62/0.80 % (29478)------------------------------
% 0.62/0.80 % (29479)Refutation not found, incomplete strategy% (29479)------------------------------
% 0.62/0.80 % (29479)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (29479)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (29479)Memory used [KB]: 952
% 0.62/0.80 % (29479)Time elapsed: 0.003 s
% 0.62/0.80 % (29479)Instructions burned: 2 (million)
% 0.62/0.80 % (29479)------------------------------
% 0.62/0.80 % (29479)------------------------------
% 0.62/0.80 % (29475)First to succeed.
% 0.62/0.80 % (29481)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 (2995ds/55Mi)
% 0.62/0.80 % (29482)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 (2995ds/50Mi)
% 0.62/0.80 % (29483)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 (2995ds/208Mi)
% 0.62/0.80 % (29484)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.62/0.80 % (29475)Refutation found. Thanks to Tanya!
% 0.62/0.80 % SZS status Unsatisfiable for Vampire---4
% 0.62/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.80 % (29475)------------------------------
% 0.62/0.80 % (29475)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (29475)Termination reason: Refutation
% 0.62/0.80
% 0.62/0.80 % (29475)Memory used [KB]: 1005
% 0.62/0.80 % (29475)Time elapsed: 0.005 s
% 0.62/0.80 % (29475)Instructions burned: 5 (million)
% 0.62/0.80 % (29475)------------------------------
% 0.62/0.80 % (29475)------------------------------
% 0.62/0.80 % (29471)Success in time 0.484 s
% 0.62/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------