TSTP Solution File: SEU305+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU305+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n005.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 09:22:07 EDT 2024
% Result : Theorem 0.58s 0.79s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 42 ( 18 unt; 0 def)
% Number of atoms : 150 ( 34 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 166 ( 58 ~; 63 |; 29 &)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 48 ( 42 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f169,plain,
$false,
inference(subsumption_resolution,[],[f165,f60]) ).
fof(f60,plain,
sK1 != sK2,
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& below(X0,X2,X1)
& below(X0,X1,X2)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& join_semilatt_str(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& below(X0,X2,X1)
& below(X0,X1,X2)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& join_semilatt_str(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ( join_semilatt_str(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( below(X0,X2,X1)
& below(X0,X1,X2) )
=> X1 = X2 ) ) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0] :
( ( join_semilatt_str(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( below(X0,X2,X1)
& below(X0,X1,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qmdUoWUcSi/Vampire---4.8_23233',t26_lattices) ).
fof(f165,plain,
sK1 = sK2,
inference(superposition,[],[f149,f108]) ).
fof(f108,plain,
sK2 = join(sK0,sK1,sK2),
inference(subsumption_resolution,[],[f107,f62]) ).
fof(f62,plain,
~ empty_carrier(sK0),
inference(cnf_transformation,[],[f46]) ).
fof(f107,plain,
( sK2 = join(sK0,sK1,sK2)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f106,f57]) ).
fof(f57,plain,
element(sK2,the_carrier(sK0)),
inference(cnf_transformation,[],[f46]) ).
fof(f106,plain,
( ~ element(sK2,the_carrier(sK0))
| sK2 = join(sK0,sK1,sK2)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f105,f61]) ).
fof(f61,plain,
element(sK1,the_carrier(sK0)),
inference(cnf_transformation,[],[f46]) ).
fof(f105,plain,
( ~ element(sK1,the_carrier(sK0))
| ~ element(sK2,the_carrier(sK0))
| sK2 = join(sK0,sK1,sK2)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f104,f64]) ).
fof(f64,plain,
join_semilatt_str(sK0),
inference(cnf_transformation,[],[f46]) ).
fof(f104,plain,
( ~ join_semilatt_str(sK0)
| ~ element(sK1,the_carrier(sK0))
| ~ element(sK2,the_carrier(sK0))
| sK2 = join(sK0,sK1,sK2)
| empty_carrier(sK0) ),
inference(resolution,[],[f58,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ below(X0,X1,X2)
| ~ join_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| join(X0,X1,X2) = X2
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( join_semilatt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qmdUoWUcSi/Vampire---4.8_23233',d3_lattices) ).
fof(f58,plain,
below(sK0,sK1,sK2),
inference(cnf_transformation,[],[f46]) ).
fof(f149,plain,
sK1 = join(sK0,sK1,sK2),
inference(forward_demodulation,[],[f115,f147]) ).
fof(f147,plain,
sK1 = join_commut(sK0,sK1,sK2),
inference(forward_demodulation,[],[f146,f113]) ).
fof(f113,plain,
sK1 = join(sK0,sK2,sK1),
inference(subsumption_resolution,[],[f112,f62]) ).
fof(f112,plain,
( sK1 = join(sK0,sK2,sK1)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f111,f61]) ).
fof(f111,plain,
( ~ element(sK1,the_carrier(sK0))
| sK1 = join(sK0,sK2,sK1)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f110,f57]) ).
fof(f110,plain,
( ~ element(sK2,the_carrier(sK0))
| ~ element(sK1,the_carrier(sK0))
| sK1 = join(sK0,sK2,sK1)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f109,f64]) ).
fof(f109,plain,
( ~ join_semilatt_str(sK0)
| ~ element(sK2,the_carrier(sK0))
| ~ element(sK1,the_carrier(sK0))
| sK1 = join(sK0,sK2,sK1)
| empty_carrier(sK0) ),
inference(resolution,[],[f59,f71]) ).
fof(f59,plain,
below(sK0,sK2,sK1),
inference(cnf_transformation,[],[f46]) ).
fof(f146,plain,
join(sK0,sK2,sK1) = join_commut(sK0,sK1,sK2),
inference(forward_demodulation,[],[f118,f130]) ).
fof(f130,plain,
join_commut(sK0,sK1,sK2) = join_commut(sK0,sK2,sK1),
inference(unit_resulting_resolution,[],[f63,f62,f64,f57,f61,f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| ~ join_commutative(X0)
| ~ join_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| join_commut(X0,X1,X2) = join_commut(X0,X2,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( join_commut(X0,X1,X2) = join_commut(X0,X2,X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ join_commutative(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( join_commut(X0,X1,X2) = join_commut(X0,X2,X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ join_commutative(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& join_semilatt_str(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) )
=> join_commut(X0,X1,X2) = join_commut(X0,X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.qmdUoWUcSi/Vampire---4.8_23233',commutativity_k3_lattices) ).
fof(f63,plain,
join_commutative(sK0),
inference(cnf_transformation,[],[f46]) ).
fof(f118,plain,
join(sK0,sK2,sK1) = join_commut(sK0,sK2,sK1),
inference(unit_resulting_resolution,[],[f63,f62,f64,f57,f61,f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| ~ join_commutative(X0)
| ~ join_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| join_commut(X0,X1,X2) = join(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( join_commut(X0,X1,X2) = join(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ join_commutative(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( join_commut(X0,X1,X2) = join(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ join_commutative(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& join_semilatt_str(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) )
=> join_commut(X0,X1,X2) = join(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.qmdUoWUcSi/Vampire---4.8_23233',redefinition_k3_lattices) ).
fof(f115,plain,
join(sK0,sK1,sK2) = join_commut(sK0,sK1,sK2),
inference(unit_resulting_resolution,[],[f63,f62,f64,f57,f61,f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : SEU305+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.16 % 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
% 0.13/0.38 % Computer : n005.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8042.1875MB
% 0.13/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Fri May 3 10:53:40 EDT 2024
% 0.13/0.38 % CPUTime :
% 0.13/0.38 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.38 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.qmdUoWUcSi/Vampire---4.8_23233
% 0.58/0.78 % (23347)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)
% 0.58/0.78 % (23349)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.78 % (23351)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)
% 0.58/0.78 % (23350)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)
% 0.58/0.78 % (23348)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)
% 0.58/0.78 % (23353)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)
% 0.58/0.78 % (23354)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)
% 0.58/0.78 % (23352)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)
% 0.58/0.78 % (23354)Refutation not found, incomplete strategy% (23354)------------------------------
% 0.58/0.78 % (23354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (23354)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78 % (23352)Refutation not found, incomplete strategy% (23352)------------------------------
% 0.58/0.78 % (23352)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78
% 0.58/0.78 % (23354)Memory used [KB]: 1028
% 0.58/0.78 % (23354)Time elapsed: 0.003 s
% 0.58/0.78 % (23354)Instructions burned: 2 (million)
% 0.58/0.78 % (23352)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78
% 0.58/0.78 % (23352)Memory used [KB]: 1026
% 0.58/0.78 % (23352)Time elapsed: 0.003 s
% 0.58/0.78 % (23352)Instructions burned: 2 (million)
% 0.58/0.78 % (23350)Refutation not found, incomplete strategy% (23350)------------------------------
% 0.58/0.78 % (23350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (23350)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78
% 0.58/0.78 % (23350)Memory used [KB]: 1033
% 0.58/0.78 % (23350)Time elapsed: 0.003 s
% 0.58/0.78 % (23350)Instructions burned: 3 (million)
% 0.58/0.78 % (23354)------------------------------
% 0.58/0.78 % (23354)------------------------------
% 0.58/0.78 % (23352)------------------------------
% 0.58/0.78 % (23352)------------------------------
% 0.58/0.78 % (23350)------------------------------
% 0.58/0.78 % (23350)------------------------------
% 0.58/0.78 % (23347)Refutation not found, incomplete strategy% (23347)------------------------------
% 0.58/0.78 % (23347)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (23347)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78
% 0.58/0.78 % (23347)Memory used [KB]: 1053
% 0.58/0.78 % (23347)Time elapsed: 0.003 s
% 0.58/0.78 % (23347)Instructions burned: 5 (million)
% 0.58/0.78 % (23351)Refutation not found, incomplete strategy% (23351)------------------------------
% 0.58/0.78 % (23351)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (23347)------------------------------
% 0.58/0.78 % (23347)------------------------------
% 0.58/0.78 % (23351)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78
% 0.58/0.78 % (23351)Memory used [KB]: 1072
% 0.58/0.78 % (23351)Time elapsed: 0.004 s
% 0.58/0.78 % (23351)Instructions burned: 5 (million)
% 0.58/0.78 % (23351)------------------------------
% 0.58/0.78 % (23351)------------------------------
% 0.58/0.78 % (23353)First to succeed.
% 0.58/0.79 % (23349)Also succeeded, but the first one will report.
% 0.58/0.79 % (23353)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23346"
% 0.58/0.79 % (23357)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.58/0.79 % (23353)Refutation found. Thanks to Tanya!
% 0.58/0.79 % SZS status Theorem for Vampire---4
% 0.58/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.79 % (23353)------------------------------
% 0.58/0.79 % (23353)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79 % (23353)Termination reason: Refutation
% 0.58/0.79
% 0.58/0.79 % (23353)Memory used [KB]: 1070
% 0.58/0.79 % (23353)Time elapsed: 0.006 s
% 0.58/0.79 % (23353)Instructions burned: 8 (million)
% 0.58/0.79 % (23346)Success in time 0.398 s
% 0.58/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------