TSTP Solution File: NUM412+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM412+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 : n026.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 : Wed May 1 03:30:46 EDT 2024
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 87 ( 34 ~; 30 |; 11 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 41 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f228,plain,
$false,
inference(subsumption_resolution,[],[f224,f200]) ).
fof(f200,plain,
transfinite_sequence_of(tseq_dom_restriction(sK1,sK2),relation_rng(sK1)),
inference(unit_resulting_resolution,[],[f90,f184,f185,f186,f94]) ).
fof(f94,plain,
! [X0,X1] :
( transfinite_sequence_of(tseq_dom_restriction(X0,X1),relation_rng(X0))
| ~ function(X0)
| ~ transfinite_sequence(X0)
| ~ ordinal(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( transfinite_sequence_of(tseq_dom_restriction(X0,X1),relation_rng(X0))
| ~ ordinal(X1)
| ~ transfinite_sequence(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( transfinite_sequence_of(tseq_dom_restriction(X0,X1),relation_rng(X0))
| ~ ordinal(X1)
| ~ transfinite_sequence(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( ordinal(X1)
& transfinite_sequence(X0)
& function(X0)
& relation(X0) )
=> transfinite_sequence_of(tseq_dom_restriction(X0,X1),relation_rng(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.KJAqa0B1kv/Vampire---4.8_6196',dt_k2_ordinal1) ).
fof(f186,plain,
transfinite_sequence(sK1),
inference(unit_resulting_resolution,[],[f92,f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ transfinite_sequence_of(X1,X0)
| transfinite_sequence(X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ( transfinite_sequence(X1)
& function(X1)
& relation(X1) )
| ~ transfinite_sequence_of(X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( transfinite_sequence_of(X1,X0)
=> ( transfinite_sequence(X1)
& function(X1)
& relation(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.KJAqa0B1kv/Vampire---4.8_6196',dt_m1_ordinal1) ).
fof(f92,plain,
transfinite_sequence_of(sK1,sK0),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
? [X0,X1] :
( ? [X2] :
( ~ transfinite_sequence_of(tseq_dom_restriction(X1,X2),X0)
& ordinal(X2) )
& transfinite_sequence_of(X1,X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,negated_conjecture,
~ ! [X0,X1] :
( transfinite_sequence_of(X1,X0)
=> ! [X2] :
( ordinal(X2)
=> transfinite_sequence_of(tseq_dom_restriction(X1,X2),X0) ) ),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
! [X0,X1] :
( transfinite_sequence_of(X1,X0)
=> ! [X2] :
( ordinal(X2)
=> transfinite_sequence_of(tseq_dom_restriction(X1,X2),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.KJAqa0B1kv/Vampire---4.8_6196',t48_ordinal1) ).
fof(f185,plain,
function(sK1),
inference(unit_resulting_resolution,[],[f92,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ transfinite_sequence_of(X1,X0)
| function(X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f184,plain,
relation(sK1),
inference(unit_resulting_resolution,[],[f92,f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ transfinite_sequence_of(X1,X0)
| relation(X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f90,plain,
ordinal(sK2),
inference(cnf_transformation,[],[f55]) ).
fof(f224,plain,
~ transfinite_sequence_of(tseq_dom_restriction(sK1,sK2),relation_rng(sK1)),
inference(unit_resulting_resolution,[],[f91,f198,f108]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ transfinite_sequence_of(X2,X0)
| ~ subset(X0,X1)
| transfinite_sequence_of(X2,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ! [X2] :
( transfinite_sequence_of(X2,X1)
| ~ transfinite_sequence_of(X2,X0) )
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1] :
( subset(X0,X1)
=> ! [X2] :
( transfinite_sequence_of(X2,X0)
=> transfinite_sequence_of(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.KJAqa0B1kv/Vampire---4.8_6196',t47_ordinal1) ).
fof(f198,plain,
subset(relation_rng(sK1),sK0),
inference(unit_resulting_resolution,[],[f92,f184,f185,f186,f114]) ).
fof(f114,plain,
! [X0,X1] :
( subset(relation_rng(X1),X0)
| ~ function(X1)
| ~ transfinite_sequence(X1)
| ~ relation(X1)
| ~ transfinite_sequence_of(X1,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( transfinite_sequence_of(X1,X0)
<=> subset(relation_rng(X1),X0) )
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( transfinite_sequence_of(X1,X0)
<=> subset(relation_rng(X1),X0) )
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( transfinite_sequence(X1)
& function(X1)
& relation(X1) )
=> ( transfinite_sequence_of(X1,X0)
<=> subset(relation_rng(X1),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.KJAqa0B1kv/Vampire---4.8_6196',d8_ordinal1) ).
fof(f91,plain,
~ transfinite_sequence_of(tseq_dom_restriction(sK1,sK2),sK0),
inference(cnf_transformation,[],[f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM412+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n026.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 : Tue Apr 30 17:13:49 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.KJAqa0B1kv/Vampire---4.8_6196
% 0.55/0.75 % (6467)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)
% 0.55/0.75 % (6461)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)
% 0.55/0.75 % (6463)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (6464)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)
% 0.55/0.75 % (6462)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)
% 0.55/0.75 % (6465)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)
% 0.55/0.75 % (6466)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)
% 0.55/0.75 % (6464)Refutation not found, incomplete strategy% (6464)------------------------------
% 0.55/0.75 % (6464)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (6464)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (6464)Memory used [KB]: 958
% 0.55/0.75 % (6464)Time elapsed: 0.002 s
% 0.55/0.75 % (6464)Instructions burned: 2 (million)
% 0.55/0.75 % (6467)First to succeed.
% 0.55/0.75 % (6464)------------------------------
% 0.55/0.75 % (6464)------------------------------
% 0.55/0.75 % (6466)Refutation not found, incomplete strategy% (6466)------------------------------
% 0.55/0.75 % (6466)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (6461)Also succeeded, but the first one will report.
% 0.55/0.75 % (6466)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (6466)Memory used [KB]: 1038
% 0.55/0.75 % (6466)Time elapsed: 0.003 s
% 0.55/0.75 % (6466)Instructions burned: 3 (million)
% 0.55/0.75 % (6466)------------------------------
% 0.55/0.75 % (6466)------------------------------
% 0.55/0.75 % (6467)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Theorem for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (6467)------------------------------
% 0.55/0.75 % (6467)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (6467)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (6467)Memory used [KB]: 1140
% 0.55/0.75 % (6467)Time elapsed: 0.004 s
% 0.55/0.75 % (6467)Instructions burned: 7 (million)
% 0.55/0.75 % (6467)------------------------------
% 0.55/0.75 % (6467)------------------------------
% 0.55/0.75 % (6457)Success in time 0.382 s
% 0.55/0.75 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.55/0.75 6457 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.KJAqa0B1kv/Vampire---4.8_6196
% 0.55/0.75 % (6457)------------------------------
% 0.55/0.75 % (6457)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (6457)Termination reason: Unknown
% 0.55/0.75 % (6457)Termination phase: Unknown
% 0.55/0.75
% 0.55/0.75 % (6457)Memory used [KB]: 465
% 0.55/0.75 % (6457)Time elapsed: 0.382 s
% 0.55/0.75 % (6457)Instructions burned: 955 (million)
% 0.55/0.75 % (6457)------------------------------
% 0.55/0.75 % (6457)------------------------------
% 0.55/0.75 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
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% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------