TSTP Solution File: SET701+4 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET701+4 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.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 09:08:04 EDT 2024
% Result : Theorem 0.60s 0.78s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 65 ( 2 unt; 0 def)
% Number of atoms : 212 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 235 ( 88 ~; 86 |; 42 &)
% ( 11 <=>; 6 =>; 0 <=; 2 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 108 ( 85 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f87,plain,
$false,
inference(avatar_sat_refutation,[],[f53,f54,f73,f86]) ).
fof(f86,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_contradiction_clause,[],[f85]) ).
fof(f85,plain,
( $false
| ~ spl5_1
| spl5_2 ),
inference(subsumption_resolution,[],[f84,f78]) ).
fof(f78,plain,
( member(sK4(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2))),sK0)
| spl5_2 ),
inference(resolution,[],[f75,f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
<=> ( member(X0,X2)
& member(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.C5gce873HX/Vampire---4.8_25840',intersection) ).
fof(f75,plain,
( member(sK4(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2))),intersection(sK0,difference(sK3,sK1)))
| spl5_2 ),
inference(resolution,[],[f52,f37]) ).
fof(f37,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f25,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.C5gce873HX/Vampire---4.8_25840',subset) ).
fof(f52,plain,
( ~ subset(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2)))
| spl5_2 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl5_2
<=> subset(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f84,plain,
( ~ member(sK4(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2))),sK0)
| ~ spl5_1
| spl5_2 ),
inference(resolution,[],[f83,f74]) ).
fof(f74,plain,
( ! [X0] :
( member(X0,sK1)
| ~ member(X0,sK0) )
| ~ spl5_1 ),
inference(resolution,[],[f47,f36]) ).
fof(f36,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
( subset(sK0,sK1)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl5_1
<=> subset(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f83,plain,
( ~ member(sK4(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2))),sK1)
| spl5_2 ),
inference(resolution,[],[f79,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) )
& ( ( ~ member(X0,X1)
& member(X0,X2) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) )
& ( ( ~ member(X0,X1)
& member(X0,X2) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( member(X0,difference(X2,X1))
<=> ( ~ member(X0,X1)
& member(X0,X2) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0,X3] :
( member(X1,difference(X3,X0))
<=> ( ~ member(X1,X0)
& member(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.C5gce873HX/Vampire---4.8_25840',difference) ).
fof(f79,plain,
( member(sK4(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2))),difference(sK3,sK1))
| spl5_2 ),
inference(resolution,[],[f75,f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f73,plain,
( spl5_1
| ~ spl5_2 ),
inference(avatar_contradiction_clause,[],[f72]) ).
fof(f72,plain,
( $false
| spl5_1
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f71,f57]) ).
fof(f57,plain,
( member(sK4(sK0,sK1),sK0)
| spl5_1 ),
inference(resolution,[],[f48,f37]) ).
fof(f48,plain,
( ~ subset(sK0,sK1)
| spl5_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f71,plain,
( ~ member(sK4(sK0,sK1),sK0)
| spl5_1
| ~ spl5_2 ),
inference(resolution,[],[f69,f58]) ).
fof(f58,plain,
( ~ member(sK4(sK0,sK1),sK1)
| spl5_1 ),
inference(resolution,[],[f48,f38]) ).
fof(f38,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f69,plain,
( ! [X0] :
( member(X0,sK1)
| ~ member(X0,sK0) )
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f68,f55]) ).
fof(f55,plain,
! [X0] :
( ~ member(X0,sK0)
| member(X0,sK3) ),
inference(resolution,[],[f32,f36]) ).
fof(f32,plain,
subset(sK0,sK3),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( ~ subset(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2)))
| ~ subset(sK0,sK1) )
& ( subset(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2)))
| subset(sK0,sK1) )
& subset(sK1,sK3)
& subset(sK0,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f21,f22]) ).
fof(f22,plain,
( ? [X0,X1,X2,X3] :
( ( ~ subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2)))
| ~ subset(X0,X1) )
& ( subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2)))
| subset(X0,X1) )
& subset(X1,X3)
& subset(X0,X3) )
=> ( ( ~ subset(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2)))
| ~ subset(sK0,sK1) )
& ( subset(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2)))
| subset(sK0,sK1) )
& subset(sK1,sK3)
& subset(sK0,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0,X1,X2,X3] :
( ( ~ subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2)))
| ~ subset(X0,X1) )
& ( subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2)))
| subset(X0,X1) )
& subset(X1,X3)
& subset(X0,X3) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
? [X0,X1,X2,X3] :
( ( ~ subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2)))
| ~ subset(X0,X1) )
& ( subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2)))
| subset(X0,X1) )
& subset(X1,X3)
& subset(X0,X3) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
? [X0,X1,X2,X3] :
( ( subset(X0,X1)
<~> subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2))) )
& subset(X1,X3)
& subset(X0,X3) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
? [X0,X1,X2,X3] :
( ( subset(X0,X1)
<~> subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2))) )
& subset(X1,X3)
& subset(X0,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X1,X2,X3] :
( ( subset(X1,X3)
& subset(X0,X3) )
=> ( subset(X0,X1)
<=> subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2))) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X5,X3] :
( ( subset(X1,X3)
& subset(X0,X3) )
=> ( subset(X0,X1)
<=> subset(intersection(X0,difference(X3,X1)),intersection(X5,difference(X3,X5))) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X1,X5,X3] :
( ( subset(X1,X3)
& subset(X0,X3) )
=> ( subset(X0,X1)
<=> subset(intersection(X0,difference(X3,X1)),intersection(X5,difference(X3,X5))) ) ),
file('/export/starexec/sandbox/tmp/tmp.C5gce873HX/Vampire---4.8_25840',thI35) ).
fof(f68,plain,
( ! [X0] :
( ~ member(X0,sK0)
| member(X0,sK1)
| ~ member(X0,sK3) )
| ~ spl5_2 ),
inference(resolution,[],[f66,f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f66,plain,
( ! [X0] :
( ~ member(X0,difference(sK3,sK1))
| ~ member(X0,sK0) )
| ~ spl5_2 ),
inference(resolution,[],[f65,f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f65,plain,
( ! [X0] : ~ member(X0,intersection(sK0,difference(sK3,sK1)))
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f64,f61]) ).
fof(f61,plain,
( ! [X0] :
( member(X0,sK2)
| ~ member(X0,intersection(sK0,difference(sK3,sK1))) )
| ~ spl5_2 ),
inference(resolution,[],[f59,f39]) ).
fof(f59,plain,
( ! [X0] :
( member(X0,intersection(sK2,difference(sK3,sK2)))
| ~ member(X0,intersection(sK0,difference(sK3,sK1))) )
| ~ spl5_2 ),
inference(resolution,[],[f51,f36]) ).
fof(f51,plain,
( subset(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2)))
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f64,plain,
( ! [X0] :
( ~ member(X0,intersection(sK0,difference(sK3,sK1)))
| ~ member(X0,sK2) )
| ~ spl5_2 ),
inference(resolution,[],[f62,f43]) ).
fof(f62,plain,
( ! [X0] :
( member(X0,difference(sK3,sK2))
| ~ member(X0,intersection(sK0,difference(sK3,sK1))) )
| ~ spl5_2 ),
inference(resolution,[],[f59,f40]) ).
fof(f54,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f34,f50,f46]) ).
fof(f34,plain,
( subset(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2)))
| subset(sK0,sK1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f53,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f35,f50,f46]) ).
fof(f35,plain,
( ~ subset(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2)))
| ~ subset(sK0,sK1) ),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SET701+4 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.11 % 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
% 0.10/0.30 % Computer : n006.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 16:23:07 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31 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.C5gce873HX/Vampire---4.8_25840
% 0.60/0.78 % (25953)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)
% 0.60/0.78 % (25950)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78 % (25952)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)
% 0.60/0.78 % (25948)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)
% 0.60/0.78 % (25949)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)
% 0.60/0.78 % (25954)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)
% 0.60/0.78 % (25955)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)
% 0.60/0.78 % (25953)Refutation not found, incomplete strategy% (25953)------------------------------
% 0.60/0.78 % (25953)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (25953)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (25953)Memory used [KB]: 963
% 0.60/0.78 % (25953)Time elapsed: 0.003 s
% 0.60/0.78 % (25953)Instructions burned: 2 (million)
% 0.60/0.78 % (25952)Refutation not found, incomplete strategy% (25952)------------------------------
% 0.60/0.78 % (25952)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (25952)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (25952)Memory used [KB]: 1037
% 0.60/0.78 % (25952)Time elapsed: 0.003 s
% 0.60/0.78 % (25952)Instructions burned: 3 (million)
% 0.60/0.78 % (25953)------------------------------
% 0.60/0.78 % (25953)------------------------------
% 0.60/0.78 % (25951)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)
% 0.60/0.78 % (25952)------------------------------
% 0.60/0.78 % (25952)------------------------------
% 0.60/0.78 % (25955)First to succeed.
% 0.60/0.78 % (25955)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25947"
% 0.60/0.78 % (25955)Refutation found. Thanks to Tanya!
% 0.60/0.78 % SZS status Theorem for Vampire---4
% 0.60/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.78 % (25955)------------------------------
% 0.60/0.78 % (25955)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (25955)Termination reason: Refutation
% 0.60/0.78
% 0.60/0.78 % (25955)Memory used [KB]: 1065
% 0.60/0.78 % (25955)Time elapsed: 0.004 s
% 0.60/0.78 % (25955)Instructions burned: 5 (million)
% 0.60/0.78 % (25947)Success in time 0.469 s
% 0.60/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------