TSTP Solution File: SET902+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET902+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n023.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 09:08:59 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 14 unt; 0 def)
% Number of atoms : 127 ( 85 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 146 ( 67 ~; 45 |; 28 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 30 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f105,plain,
$false,
inference(avatar_sat_refutation,[],[f54,f63,f64,f90,f98,f104]) ).
fof(f104,plain,
( ~ spl5_2
| ~ spl5_3 ),
inference(avatar_contradiction_clause,[],[f103]) ).
fof(f103,plain,
( $false
| ~ spl5_2
| ~ spl5_3 ),
inference(subsumption_resolution,[],[f102,f34]) ).
fof(f34,plain,
! [X0] : empty_set != singleton(X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : empty_set != singleton(X0),
file('/export/starexec/sandbox/tmp/tmp.AMUNWV5hDX/Vampire---4.8_17532',l1_zfmisc_1) ).
fof(f102,plain,
( empty_set = singleton(sK0)
| ~ spl5_2
| ~ spl5_3 ),
inference(forward_demodulation,[],[f99,f35]) ).
fof(f35,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : set_union2(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.AMUNWV5hDX/Vampire---4.8_17532',idempotence_k2_xboole_0) ).
fof(f99,plain,
( singleton(sK0) = set_union2(empty_set,empty_set)
| ~ spl5_2
| ~ spl5_3 ),
inference(backward_demodulation,[],[f93,f52]) ).
fof(f52,plain,
( empty_set = sK2
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl5_2
<=> empty_set = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f93,plain,
( singleton(sK0) = set_union2(empty_set,sK2)
| ~ spl5_3 ),
inference(backward_demodulation,[],[f27,f57]) ).
fof(f57,plain,
( empty_set = sK1
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl5_3
<=> empty_set = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f27,plain,
singleton(sK0) = set_union2(sK1,sK2),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( empty_set != sK2
| sK1 != singleton(sK0) )
& ( sK2 != singleton(sK0)
| empty_set != sK1 )
& ( sK2 != singleton(sK0)
| sK1 != singleton(sK0) )
& singleton(sK0) = set_union2(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f19]) ).
fof(f19,plain,
( ? [X0,X1,X2] :
( ( empty_set != X2
| singleton(X0) != X1 )
& ( singleton(X0) != X2
| empty_set != X1 )
& ( singleton(X0) != X2
| singleton(X0) != X1 )
& singleton(X0) = set_union2(X1,X2) )
=> ( ( empty_set != sK2
| sK1 != singleton(sK0) )
& ( sK2 != singleton(sK0)
| empty_set != sK1 )
& ( sK2 != singleton(sK0)
| sK1 != singleton(sK0) )
& singleton(sK0) = set_union2(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ( empty_set != X2
| singleton(X0) != X1 )
& ( singleton(X0) != X2
| empty_set != X1 )
& ( singleton(X0) != X2
| singleton(X0) != X1 )
& singleton(X0) = set_union2(X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X0,X1,X2] :
~ ( ~ ( empty_set = X2
& singleton(X0) = X1 )
& ~ ( singleton(X0) = X2
& empty_set = X1 )
& ~ ( singleton(X0) = X2
& singleton(X0) = X1 )
& singleton(X0) = set_union2(X1,X2) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X0,X1,X2] :
~ ( ~ ( empty_set = X2
& singleton(X0) = X1 )
& ~ ( singleton(X0) = X2
& empty_set = X1 )
& ~ ( singleton(X0) = X2
& singleton(X0) = X1 )
& singleton(X0) = set_union2(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.AMUNWV5hDX/Vampire---4.8_17532',t43_zfmisc_1) ).
fof(f98,plain,
( spl5_2
| spl5_4 ),
inference(avatar_split_clause,[],[f97,f60,f51]) ).
fof(f60,plain,
( spl5_4
<=> sK2 = singleton(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f97,plain,
( empty_set = sK2
| spl5_4 ),
inference(subsumption_resolution,[],[f96,f62]) ).
fof(f62,plain,
( sK2 != singleton(sK0)
| spl5_4 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f96,plain,
( empty_set = sK2
| sK2 = singleton(sK0) ),
inference(resolution,[],[f81,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ subset(X0,singleton(X1))
| empty_set = X0
| singleton(X1) = X0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( subset(X0,singleton(X1))
| ( singleton(X1) != X0
& empty_set != X0 ) )
& ( singleton(X1) = X0
| empty_set = X0
| ~ subset(X0,singleton(X1)) ) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( subset(X0,singleton(X1))
| ( singleton(X1) != X0
& empty_set != X0 ) )
& ( singleton(X1) = X0
| empty_set = X0
| ~ subset(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( singleton(X1) = X0
| empty_set = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.AMUNWV5hDX/Vampire---4.8_17532',l4_zfmisc_1) ).
fof(f81,plain,
subset(sK2,singleton(sK0)),
inference(superposition,[],[f75,f27]) ).
fof(f75,plain,
! [X0,X1] : subset(X0,set_union2(X1,X0)),
inference(superposition,[],[f37,f36]) ).
fof(f36,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.AMUNWV5hDX/Vampire---4.8_17532',commutativity_k2_xboole_0) ).
fof(f37,plain,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.AMUNWV5hDX/Vampire---4.8_17532',t7_xboole_1) ).
fof(f90,plain,
( spl5_3
| spl5_1 ),
inference(avatar_split_clause,[],[f89,f47,f56]) ).
fof(f47,plain,
( spl5_1
<=> sK1 = singleton(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f89,plain,
( empty_set = sK1
| spl5_1 ),
inference(subsumption_resolution,[],[f88,f49]) ).
fof(f49,plain,
( sK1 != singleton(sK0)
| spl5_1 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f88,plain,
( empty_set = sK1
| sK1 = singleton(sK0) ),
inference(resolution,[],[f31,f65]) ).
fof(f65,plain,
subset(sK1,singleton(sK0)),
inference(superposition,[],[f37,f27]) ).
fof(f64,plain,
( ~ spl5_1
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f28,f60,f47]) ).
fof(f28,plain,
( sK2 != singleton(sK0)
| sK1 != singleton(sK0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f63,plain,
( ~ spl5_3
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f29,f60,f56]) ).
fof(f29,plain,
( sK2 != singleton(sK0)
| empty_set != sK1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f54,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f30,f51,f47]) ).
fof(f30,plain,
( empty_set != sK2
| sK1 != singleton(sK0) ),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET902+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.15 % 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
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 16:28:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 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.AMUNWV5hDX/Vampire---4.8_17532
% 0.56/0.75 % (17910)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)
% 0.56/0.75 % (17910)Refutation not found, incomplete strategy% (17910)------------------------------
% 0.56/0.75 % (17910)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (17903)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)
% 0.56/0.75 % (17910)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (17910)Memory used [KB]: 959
% 0.56/0.75 % (17910)Time elapsed: 0.002 s
% 0.56/0.75 % (17910)Instructions burned: 2 (million)
% 0.56/0.75 % (17905)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (17904)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)
% 0.56/0.75 % (17906)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)
% 0.56/0.75 % (17907)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)
% 0.56/0.75 % (17908)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)
% 0.56/0.75 % (17910)------------------------------
% 0.56/0.75 % (17910)------------------------------
% 0.56/0.75 % (17909)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)
% 0.56/0.75 % (17903)Refutation not found, incomplete strategy% (17903)------------------------------
% 0.56/0.75 % (17903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (17903)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (17903)Memory used [KB]: 973
% 0.56/0.75 % (17903)Time elapsed: 0.003 s
% 0.56/0.75 % (17903)Instructions burned: 3 (million)
% 0.56/0.75 % (17907)Refutation not found, incomplete strategy% (17907)------------------------------
% 0.56/0.75 % (17907)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (17907)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (17907)Memory used [KB]: 973
% 0.56/0.75 % (17907)Time elapsed: 0.003 s
% 0.56/0.75 % (17906)Refutation not found, incomplete strategy% (17906)------------------------------
% 0.56/0.75 % (17906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (17906)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (17906)Memory used [KB]: 960
% 0.56/0.75 % (17906)Time elapsed: 0.003 s
% 0.56/0.75 % (17906)Instructions burned: 3 (million)
% 0.56/0.75 % (17907)Instructions burned: 2 (million)
% 0.56/0.75 % (17903)------------------------------
% 0.56/0.75 % (17903)------------------------------
% 0.56/0.75 % (17906)------------------------------
% 0.56/0.75 % (17906)------------------------------
% 0.56/0.75 % (17907)------------------------------
% 0.56/0.75 % (17907)------------------------------
% 0.56/0.75 % (17908)Refutation not found, incomplete strategy% (17908)------------------------------
% 0.56/0.75 % (17908)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (17908)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (17908)Memory used [KB]: 963
% 0.56/0.75 % (17908)Time elapsed: 0.003 s
% 0.56/0.75 % (17908)Instructions burned: 3 (million)
% 0.56/0.75 % (17908)------------------------------
% 0.56/0.75 % (17908)------------------------------
% 0.56/0.75 % (17905)First to succeed.
% 0.56/0.75 % (17904)Also succeeded, but the first one will report.
% 0.56/0.75 % (17913)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)
% 0.56/0.75 % (17905)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17786"
% 0.56/0.75 % (17905)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (17905)------------------------------
% 0.56/0.75 % (17905)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (17905)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (17905)Memory used [KB]: 998
% 0.56/0.75 % (17905)Time elapsed: 0.005 s
% 0.56/0.75 % (17905)Instructions burned: 5 (million)
% 0.56/0.75 % (17786)Success in time 0.379 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------