TSTP Solution File: SET699+4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET699+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 : n016.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 09:08:03 EDT 2024
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 65 ( 2 unt; 0 def)
% Number of atoms : 213 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 233 ( 85 ~; 86 |; 42 &)
% ( 12 <=>; 6 =>; 0 <=; 2 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 97 ( 79 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f93,plain,
$false,
inference(avatar_sat_refutation,[],[f53,f54,f67,f84,f92]) ).
fof(f92,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f91]) ).
fof(f91,plain,
( $false
| ~ spl4_1
| spl4_2
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f90,f80]) ).
fof(f80,plain,
( member(sK3(intersection(sK0,difference(sK2,sK1)),difference(sK2,sK0)),sK0)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl4_4
<=> member(sK3(intersection(sK0,difference(sK2,sK1)),difference(sK2,sK0)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f90,plain,
( ~ member(sK3(intersection(sK0,difference(sK2,sK1)),difference(sK2,sK0)),sK0)
| ~ spl4_1
| spl4_2 ),
inference(resolution,[],[f89,f68]) ).
fof(f68,plain,
( ! [X0] :
( member(X0,sK1)
| ~ member(X0,sK0) )
| ~ spl4_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(f27,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f25,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK3(X0,X1),X1)
& member(sK3(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.wsnohzs7Ck/Vampire---4.8_30384',subset) ).
fof(f47,plain,
( subset(sK0,sK1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl4_1
<=> subset(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f89,plain,
( ~ member(sK3(intersection(sK0,difference(sK2,sK1)),difference(sK2,sK0)),sK1)
| spl4_2 ),
inference(resolution,[],[f83,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.wsnohzs7Ck/Vampire---4.8_30384',difference) ).
fof(f83,plain,
( member(sK3(intersection(sK0,difference(sK2,sK1)),difference(sK2,sK0)),difference(sK2,sK1))
| spl4_2 ),
inference(resolution,[],[f70,f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
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.wsnohzs7Ck/Vampire---4.8_30384',intersection) ).
fof(f70,plain,
( member(sK3(intersection(sK0,difference(sK2,sK1)),difference(sK2,sK0)),intersection(sK0,difference(sK2,sK1)))
| spl4_2 ),
inference(resolution,[],[f52,f37]) ).
fof(f37,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f52,plain,
( ~ subset(intersection(sK0,difference(sK2,sK1)),difference(sK2,sK0))
| spl4_2 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl4_2
<=> subset(intersection(sK0,difference(sK2,sK1)),difference(sK2,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f84,plain,
( spl4_4
| spl4_2 ),
inference(avatar_split_clause,[],[f82,f50,f78]) ).
fof(f82,plain,
( member(sK3(intersection(sK0,difference(sK2,sK1)),difference(sK2,sK0)),sK0)
| spl4_2 ),
inference(resolution,[],[f70,f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f67,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_contradiction_clause,[],[f66]) ).
fof(f66,plain,
( $false
| spl4_1
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f65,f57]) ).
fof(f57,plain,
( member(sK3(sK0,sK1),sK0)
| spl4_1 ),
inference(resolution,[],[f48,f37]) ).
fof(f48,plain,
( ~ subset(sK0,sK1)
| spl4_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f65,plain,
( ~ member(sK3(sK0,sK1),sK0)
| spl4_1
| ~ spl4_2 ),
inference(resolution,[],[f63,f58]) ).
fof(f58,plain,
( ~ member(sK3(sK0,sK1),sK1)
| spl4_1 ),
inference(resolution,[],[f48,f38]) ).
fof(f38,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f63,plain,
( ! [X0] :
( member(X0,sK1)
| ~ member(X0,sK0) )
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f62,f55]) ).
fof(f55,plain,
! [X0] :
( member(X0,sK2)
| ~ member(X0,sK0) ),
inference(resolution,[],[f32,f36]) ).
fof(f32,plain,
subset(sK0,sK2),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( ~ subset(intersection(sK0,difference(sK2,sK1)),difference(sK2,sK0))
| ~ subset(sK0,sK1) )
& ( subset(intersection(sK0,difference(sK2,sK1)),difference(sK2,sK0))
| subset(sK0,sK1) )
& subset(sK1,sK2)
& subset(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f21,f22]) ).
fof(f22,plain,
( ? [X0,X1,X2] :
( ( ~ subset(intersection(X0,difference(X2,X1)),difference(X2,X0))
| ~ subset(X0,X1) )
& ( subset(intersection(X0,difference(X2,X1)),difference(X2,X0))
| subset(X0,X1) )
& subset(X1,X2)
& subset(X0,X2) )
=> ( ( ~ subset(intersection(sK0,difference(sK2,sK1)),difference(sK2,sK0))
| ~ subset(sK0,sK1) )
& ( subset(intersection(sK0,difference(sK2,sK1)),difference(sK2,sK0))
| subset(sK0,sK1) )
& subset(sK1,sK2)
& subset(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0,X1,X2] :
( ( ~ subset(intersection(X0,difference(X2,X1)),difference(X2,X0))
| ~ subset(X0,X1) )
& ( subset(intersection(X0,difference(X2,X1)),difference(X2,X0))
| subset(X0,X1) )
& subset(X1,X2)
& subset(X0,X2) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
? [X0,X1,X2] :
( ( ~ subset(intersection(X0,difference(X2,X1)),difference(X2,X0))
| ~ subset(X0,X1) )
& ( subset(intersection(X0,difference(X2,X1)),difference(X2,X0))
| subset(X0,X1) )
& subset(X1,X2)
& subset(X0,X2) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
? [X0,X1,X2] :
( ( subset(X0,X1)
<~> subset(intersection(X0,difference(X2,X1)),difference(X2,X0)) )
& subset(X1,X2)
& subset(X0,X2) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
? [X0,X1,X2] :
( ( subset(X0,X1)
<~> subset(intersection(X0,difference(X2,X1)),difference(X2,X0)) )
& subset(X1,X2)
& subset(X0,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X2) )
=> ( subset(X0,X1)
<=> subset(intersection(X0,difference(X2,X1)),difference(X2,X0)) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X3] :
( ( subset(X1,X3)
& subset(X0,X3) )
=> ( subset(X0,X1)
<=> subset(intersection(X0,difference(X3,X1)),difference(X3,X0)) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X1,X3] :
( ( subset(X1,X3)
& subset(X0,X3) )
=> ( subset(X0,X1)
<=> subset(intersection(X0,difference(X3,X1)),difference(X3,X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.wsnohzs7Ck/Vampire---4.8_30384',thI33) ).
fof(f62,plain,
( ! [X0] :
( ~ member(X0,sK0)
| member(X0,sK1)
| ~ member(X0,sK2) )
| ~ spl4_2 ),
inference(resolution,[],[f61,f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f61,plain,
( ! [X0] :
( ~ member(X0,difference(sK2,sK1))
| ~ member(X0,sK0) )
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f60,f43]) ).
fof(f60,plain,
( ! [X0] :
( member(X0,difference(sK2,sK0))
| ~ member(X0,difference(sK2,sK1))
| ~ member(X0,sK0) )
| ~ spl4_2 ),
inference(resolution,[],[f59,f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f59,plain,
( ! [X0] :
( ~ member(X0,intersection(sK0,difference(sK2,sK1)))
| member(X0,difference(sK2,sK0)) )
| ~ spl4_2 ),
inference(resolution,[],[f51,f36]) ).
fof(f51,plain,
( subset(intersection(sK0,difference(sK2,sK1)),difference(sK2,sK0))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f54,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f34,f50,f46]) ).
fof(f34,plain,
( subset(intersection(sK0,difference(sK2,sK1)),difference(sK2,sK0))
| subset(sK0,sK1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f53,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f35,f50,f46]) ).
fof(f35,plain,
( ~ subset(intersection(sK0,difference(sK2,sK1)),difference(sK2,sK0))
| ~ subset(sK0,sK1) ),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SET699+4 : TPTP v8.1.2. Released v2.2.0.
% 0.04/0.10 % 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 : n016.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 16:31:07 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.wsnohzs7Ck/Vampire---4.8_30384
% 0.57/0.75 % (30495)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.75 % (30497)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)
% 0.57/0.75 % (30494)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)
% 0.57/0.75 % (30493)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)
% 0.57/0.75 % (30496)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)
% 0.57/0.75 % (30498)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)
% 0.57/0.75 % (30499)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)
% 0.57/0.75 % (30500)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)
% 0.57/0.75 % (30498)Refutation not found, incomplete strategy% (30498)------------------------------
% 0.57/0.75 % (30498)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (30498)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (30498)Memory used [KB]: 963
% 0.57/0.75 % (30498)Time elapsed: 0.002 s
% 0.57/0.75 % (30498)Instructions burned: 2 (million)
% 0.57/0.75 % (30497)Refutation not found, incomplete strategy% (30497)------------------------------
% 0.57/0.75 % (30497)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (30497)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (30497)Memory used [KB]: 1037
% 0.57/0.75 % (30497)Time elapsed: 0.003 s
% 0.57/0.75 % (30497)Instructions burned: 3 (million)
% 0.57/0.75 % (30498)------------------------------
% 0.57/0.75 % (30498)------------------------------
% 0.57/0.75 % (30497)------------------------------
% 0.57/0.75 % (30497)------------------------------
% 0.57/0.75 % (30500)First to succeed.
% 0.57/0.75 % (30500)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30491"
% 0.57/0.75 % (30500)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Theorem for Vampire---4
% 0.57/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75 % (30500)------------------------------
% 0.57/0.75 % (30500)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (30500)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (30500)Memory used [KB]: 1066
% 0.57/0.75 % (30500)Time elapsed: 0.004 s
% 0.57/0.75 % (30500)Instructions burned: 5 (million)
% 0.57/0.75 % (30491)Success in time 0.441 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------