TSTP Solution File: SET606+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET606+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n026.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 09:07:31 EDT 2024
% Result : Theorem 0.53s 0.73s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 7 unt; 0 def)
% Number of atoms : 168 ( 14 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 185 ( 79 ~; 80 |; 14 &)
% ( 8 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 65 ( 58 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f133,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f63,f83,f90,f96,f101,f126,f132]) ).
fof(f132,plain,
( spl5_5
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f97,f55,f76]) ).
fof(f76,plain,
( spl5_5
<=> member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f55,plain,
( spl5_1
<=> member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),difference(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f97,plain,
( member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),sK0)
| ~ spl5_1 ),
inference(resolution,[],[f57,f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( ~ member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.npzT8cBTbm/Vampire---4.8_23835',difference_defn) ).
fof(f57,plain,
( member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),difference(sK0,sK1))
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f126,plain,
( spl5_2
| ~ spl5_5
| spl5_6 ),
inference(avatar_contradiction_clause,[],[f125]) ).
fof(f125,plain,
( $false
| spl5_2
| ~ spl5_5
| spl5_6 ),
inference(subsumption_resolution,[],[f124,f81]) ).
fof(f81,plain,
( ~ member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),sK1)
| spl5_6 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl5_6
<=> member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f124,plain,
( member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),sK1)
| spl5_2
| ~ spl5_5 ),
inference(resolution,[],[f103,f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.npzT8cBTbm/Vampire---4.8_23835',intersection_defn) ).
fof(f103,plain,
( member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),intersection(sK0,sK1))
| spl5_2
| ~ spl5_5 ),
inference(subsumption_resolution,[],[f102,f77]) ).
fof(f77,plain,
( member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),sK0)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f102,plain,
( member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),intersection(sK0,sK1))
| ~ member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),sK0)
| spl5_2 ),
inference(resolution,[],[f60,f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f60,plain,
( ~ member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),difference(sK0,intersection(sK0,sK1)))
| spl5_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl5_2
<=> member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),difference(sK0,intersection(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f101,plain,
( ~ spl5_6
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f98,f55,f80]) ).
fof(f98,plain,
( ~ member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),sK1)
| ~ spl5_1 ),
inference(resolution,[],[f57,f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f96,plain,
( ~ spl5_2
| ~ spl5_5
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f95]) ).
fof(f95,plain,
( $false
| ~ spl5_2
| ~ spl5_5
| ~ spl5_6 ),
inference(subsumption_resolution,[],[f94,f77]) ).
fof(f94,plain,
( ~ member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),sK0)
| ~ spl5_2
| ~ spl5_6 ),
inference(subsumption_resolution,[],[f93,f82]) ).
fof(f82,plain,
( member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),sK1)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f93,plain,
( ~ member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),sK1)
| ~ member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),sK0)
| ~ spl5_2 ),
inference(resolution,[],[f87,f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f87,plain,
( ~ member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),intersection(sK0,sK1))
| ~ spl5_2 ),
inference(resolution,[],[f61,f38]) ).
fof(f61,plain,
( member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),difference(sK0,intersection(sK0,sK1)))
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f90,plain,
( spl5_5
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f86,f59,f76]) ).
fof(f86,plain,
( member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),sK0)
| ~ spl5_2 ),
inference(resolution,[],[f61,f37]) ).
fof(f83,plain,
( ~ spl5_5
| spl5_6
| spl5_1 ),
inference(avatar_split_clause,[],[f74,f55,f80,f76]) ).
fof(f74,plain,
( member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),sK1)
| ~ member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),sK0)
| spl5_1 ),
inference(resolution,[],[f56,f39]) ).
fof(f56,plain,
( ~ member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),difference(sK0,sK1))
| spl5_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f63,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f51,f59,f55]) ).
fof(f51,plain,
( ~ member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),difference(sK0,intersection(sK0,sK1)))
| ~ member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),difference(sK0,sK1)) ),
inference(resolution,[],[f43,f46]) ).
fof(f46,plain,
! [X0,X1] :
( sQ4_eqProxy(X0,X1)
| ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f32,f42]) ).
fof(f42,plain,
! [X0,X1] :
( sQ4_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ4_eqProxy])]) ).
fof(f32,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) )
& ( member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f19,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) )
=> ( ( ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) )
& ( member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( member(X2,X0)
<~> member(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
<=> member(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.npzT8cBTbm/Vampire---4.8_23835',member_equal) ).
fof(f43,plain,
~ sQ4_eqProxy(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),
inference(equality_proxy_replacement,[],[f26,f42]) ).
fof(f26,plain,
difference(sK0,sK1) != difference(sK0,intersection(sK0,sK1)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
difference(sK0,sK1) != difference(sK0,intersection(sK0,sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f13]) ).
fof(f13,plain,
( ? [X0,X1] : difference(X0,X1) != difference(X0,intersection(X0,X1))
=> difference(sK0,sK1) != difference(sK0,intersection(sK0,sK1)) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0,X1] : difference(X0,X1) != difference(X0,intersection(X0,X1)),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0,X1] : difference(X0,X1) = difference(X0,intersection(X0,X1)),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0,X1] : difference(X0,X1) = difference(X0,intersection(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.npzT8cBTbm/Vampire---4.8_23835',prove_difference_into_intersection) ).
fof(f62,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f50,f59,f55]) ).
fof(f50,plain,
( member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),difference(sK0,intersection(sK0,sK1)))
| member(sK3(difference(sK0,sK1),difference(sK0,intersection(sK0,sK1))),difference(sK0,sK1)) ),
inference(resolution,[],[f43,f47]) ).
fof(f47,plain,
! [X0,X1] :
( sQ4_eqProxy(X0,X1)
| member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f31,f42]) ).
fof(f31,plain,
! [X0,X1] :
( X0 = X1
| member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SET606+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.14 % 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
% 0.14/0.35 % Computer : n026.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 16:52:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 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.npzT8cBTbm/Vampire---4.8_23835
% 0.53/0.72 % (23948)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)
% 0.53/0.72 % (23946)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)
% 0.53/0.72 % (23949)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)
% 0.53/0.72 % (23947)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)
% 0.53/0.72 % (23944)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)
% 0.53/0.72 % (23950)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)
% 0.53/0.72 % (23943)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)
% 0.53/0.73 % (23948)Refutation not found, incomplete strategy% (23948)------------------------------
% 0.53/0.73 % (23948)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73 % (23948)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73
% 0.53/0.73 % (23948)Memory used [KB]: 955
% 0.53/0.73 % (23948)Time elapsed: 0.003 s
% 0.53/0.73 % (23948)Instructions burned: 2 (million)
% 0.53/0.73 % (23949)Refutation not found, incomplete strategy% (23949)------------------------------
% 0.53/0.73 % (23949)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73 % (23949)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73
% 0.53/0.73 % (23949)Memory used [KB]: 954
% 0.53/0.73 % (23949)Time elapsed: 0.003 s
% 0.53/0.73 % (23949)Instructions burned: 2 (million)
% 0.53/0.73 % (23948)------------------------------
% 0.53/0.73 % (23948)------------------------------
% 0.53/0.73 % (23945)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.73 % (23949)------------------------------
% 0.53/0.73 % (23949)------------------------------
% 0.53/0.73 % (23950)First to succeed.
% 0.53/0.73 % (23947)Also succeeded, but the first one will report.
% 0.53/0.73 % (23943)Also succeeded, but the first one will report.
% 0.53/0.73 % (23946)Refutation not found, incomplete strategy% (23946)------------------------------
% 0.53/0.73 % (23946)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73 % (23950)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23942"
% 0.53/0.73 % (23946)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73
% 0.53/0.73 % (23946)Memory used [KB]: 969
% 0.53/0.73 % (23946)Time elapsed: 0.004 s
% 0.53/0.73 % (23946)Instructions burned: 3 (million)
% 0.53/0.73 % (23946)------------------------------
% 0.53/0.73 % (23946)------------------------------
% 0.53/0.73 % (23950)Refutation found. Thanks to Tanya!
% 0.53/0.73 % SZS status Theorem for Vampire---4
% 0.53/0.73 % SZS output start Proof for Vampire---4
% See solution above
% 0.53/0.73 % (23950)------------------------------
% 0.53/0.73 % (23950)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73 % (23950)Termination reason: Refutation
% 0.53/0.73
% 0.53/0.73 % (23950)Memory used [KB]: 1064
% 0.53/0.73 % (23950)Time elapsed: 0.005 s
% 0.53/0.73 % (23950)Instructions burned: 5 (million)
% 0.53/0.73 % (23942)Success in time 0.361 s
% 0.53/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------