TSTP Solution File: SEU097+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU097+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n011.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 09:20:14 EDT 2024
% Result : Theorem 0.61s 0.76s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 9 unt; 0 def)
% Number of atoms : 68 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 60 ( 24 ~; 16 |; 13 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 22 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f165,plain,
$false,
inference(avatar_sat_refutation,[],[f152,f158,f164]) ).
fof(f164,plain,
spl6_2,
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f163,plain,
( $false
| spl6_2 ),
inference(subsumption_resolution,[],[f160,f99]) ).
fof(f99,plain,
finite(sK1),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ~ finite(symmetric_difference(sK0,sK1))
& finite(sK1)
& finite(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f74,f90]) ).
fof(f90,plain,
( ? [X0,X1] :
( ~ finite(symmetric_difference(X0,X1))
& finite(X1)
& finite(X0) )
=> ( ~ finite(symmetric_difference(sK0,sK1))
& finite(sK1)
& finite(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
? [X0,X1] :
( ~ finite(symmetric_difference(X0,X1))
& finite(X1)
& finite(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
? [X0,X1] :
( ~ finite(symmetric_difference(X0,X1))
& finite(X1)
& finite(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,negated_conjecture,
~ ! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(symmetric_difference(X0,X1)) ),
inference(negated_conjecture,[],[f60]) ).
fof(f60,conjecture,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(symmetric_difference(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.VM42CYnNy7/Vampire---4.8_10616',t28_finset_1) ).
fof(f160,plain,
( ~ finite(sK1)
| spl6_2 ),
inference(resolution,[],[f150,f122]) ).
fof(f122,plain,
! [X0,X1] :
( finite(set_difference(X0,X1))
| ~ finite(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( finite(set_difference(X0,X1))
| ~ finite(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( finite(X0)
=> finite(set_difference(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.VM42CYnNy7/Vampire---4.8_10616',t16_finset_1) ).
fof(f150,plain,
( ~ finite(set_difference(sK1,sK0))
| spl6_2 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl6_2
<=> finite(set_difference(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f158,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f157]) ).
fof(f157,plain,
( $false
| spl6_1 ),
inference(subsumption_resolution,[],[f154,f98]) ).
fof(f98,plain,
finite(sK0),
inference(cnf_transformation,[],[f91]) ).
fof(f154,plain,
( ~ finite(sK0)
| spl6_1 ),
inference(resolution,[],[f146,f122]) ).
fof(f146,plain,
( ~ finite(set_difference(sK0,sK1))
| spl6_1 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl6_1
<=> finite(set_difference(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f152,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f142,f148,f144]) ).
fof(f142,plain,
( ~ finite(set_difference(sK1,sK0))
| ~ finite(set_difference(sK0,sK1)) ),
inference(resolution,[],[f127,f113]) ).
fof(f113,plain,
! [X0,X1] :
( finite(set_union2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( finite(set_union2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( finite(set_union2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(set_union2(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.VM42CYnNy7/Vampire---4.8_10616',l3_finset_1) ).
fof(f127,plain,
~ finite(set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0))),
inference(definition_unfolding,[],[f100,f102]) ).
fof(f102,plain,
! [X0,X1] : symmetric_difference(X0,X1) = set_union2(set_difference(X0,X1),set_difference(X1,X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] : symmetric_difference(X0,X1) = set_union2(set_difference(X0,X1),set_difference(X1,X0)),
file('/export/starexec/sandbox2/tmp/tmp.VM42CYnNy7/Vampire---4.8_10616',d6_xboole_0) ).
fof(f100,plain,
~ finite(symmetric_difference(sK0,sK1)),
inference(cnf_transformation,[],[f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU097+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % 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
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 11:02:04 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.VM42CYnNy7/Vampire---4.8_10616
% 0.61/0.76 % (10967)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)
% 0.61/0.76 % (10960)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)
% 0.61/0.76 % (10962)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76 % (10963)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)
% 0.61/0.76 % (10961)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)
% 0.61/0.76 % (10964)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)
% 0.61/0.76 % (10965)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)
% 0.61/0.76 % (10967)First to succeed.
% 0.61/0.76 % (10966)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)
% 0.61/0.76 % (10967)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10800"
% 0.61/0.76 % (10967)Refutation found. Thanks to Tanya!
% 0.61/0.76 % SZS status Theorem for Vampire---4
% 0.61/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.76 % (10967)------------------------------
% 0.61/0.76 % (10967)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (10967)Termination reason: Refutation
% 0.61/0.76
% 0.61/0.76 % (10967)Memory used [KB]: 1071
% 0.61/0.76 % (10967)Time elapsed: 0.003 s
% 0.61/0.76 % (10967)Instructions burned: 4 (million)
% 0.61/0.76 % (10800)Success in time 0.393 s
% 0.61/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------