TSTP Solution File: CAT033+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : CAT033+1 : TPTP v8.1.2. Released v3.4.0.
% 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 : n025.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 04:43:32 EDT 2024
% Result : Theorem 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 76 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 82 ( 34 ~; 27 |; 11 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 28 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f237,plain,
$false,
inference(subsumption_resolution,[],[f236,f102]) ).
fof(f102,plain,
~ m2_cat_1(k20_ens_1(sK0,sK1),sK0,k1_yoneda_1(sK0)),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
? [X0] :
( ? [X1] :
( ~ m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0))
& m1_subset_1(X1,u1_cat_1(X0)) )
& l1_cat_1(X0)
& v2_cat_1(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
? [X0] :
( ? [X1] :
( ~ m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0))
& m1_subset_1(X1,u1_cat_1(X0)) )
& l1_cat_1(X0)
& v2_cat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_cat_1(X0))
=> m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0)) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_cat_1(X0))
=> m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.kPJTv6la9Q/Vampire---4.8_26363',t2_yoneda_1) ).
fof(f236,plain,
m2_cat_1(k20_ens_1(sK0,sK1),sK0,k1_yoneda_1(sK0)),
inference(forward_demodulation,[],[f234,f172]) ).
fof(f172,plain,
k1_yoneda_1(sK0) = k12_ens_1(k17_ens_1(sK0)),
inference(unit_resulting_resolution,[],[f103,f104,f111]) ).
fof(f111,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0] :
( k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.kPJTv6la9Q/Vampire---4.8_26363',d1_yoneda_1) ).
fof(f104,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f60]) ).
fof(f103,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f60]) ).
fof(f234,plain,
m2_cat_1(k20_ens_1(sK0,sK1),sK0,k12_ens_1(k17_ens_1(sK0))),
inference(unit_resulting_resolution,[],[f103,f104,f177,f126,f101,f106]) ).
fof(f106,plain,
! [X2,X0,X1] :
( m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u1_cat_1(X1))
| ~ r1_tarski(k17_ens_1(X1),X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0))
| ~ r1_tarski(k17_ens_1(X1),X0)
| ~ m1_subset_1(X2,u1_cat_1(X1)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0))
| ~ r1_tarski(k17_ens_1(X1),X0)
| ~ m1_subset_1(X2,u1_cat_1(X1)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_cat_1(X1))
=> ( r1_tarski(k17_ens_1(X1),X0)
=> m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.kPJTv6la9Q/Vampire---4.8_26363',t49_ens_1) ).
fof(f101,plain,
m1_subset_1(sK1,u1_cat_1(sK0)),
inference(cnf_transformation,[],[f60]) ).
fof(f126,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.kPJTv6la9Q/Vampire---4.8_26363',reflexivity_r1_tarski) ).
fof(f177,plain,
~ v1_xboole_0(k17_ens_1(sK0)),
inference(unit_resulting_resolution,[],[f103,f104,f127]) ).
fof(f127,plain,
! [X0] :
( ~ v1_xboole_0(k17_ens_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ~ v1_xboole_0(k17_ens_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ~ v1_xboole_0(k17_ens_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ~ v1_xboole_0(k17_ens_1(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.kPJTv6la9Q/Vampire---4.8_26363',fc5_ens_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CAT033+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15 % 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
% 0.16/0.36 % Computer : n025.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 18:12:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 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.kPJTv6la9Q/Vampire---4.8_26363
% 0.53/0.75 % (26754)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)
% 0.53/0.75 % (26747)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)
% 0.53/0.75 % (26754)Refutation not found, incomplete strategy% (26754)------------------------------
% 0.53/0.75 % (26754)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75 % (26754)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75
% 0.53/0.75 % (26754)Memory used [KB]: 1037
% 0.53/0.75 % (26754)Time elapsed: 0.002 s
% 0.53/0.75 % (26754)Instructions burned: 3 (million)
% 0.53/0.75 % (26748)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)
% 0.53/0.75 % (26749)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.75 % (26750)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)
% 0.53/0.75 % (26751)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)
% 0.53/0.75 % (26752)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)
% 0.53/0.75 % (26754)------------------------------
% 0.53/0.75 % (26754)------------------------------
% 0.53/0.75 % (26753)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)
% 0.53/0.75 % (26752)Refutation not found, incomplete strategy% (26752)------------------------------
% 0.53/0.75 % (26752)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75 % (26752)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75
% 0.53/0.75 % (26752)Memory used [KB]: 1039
% 0.53/0.75 % (26752)Time elapsed: 0.003 s
% 0.53/0.75 % (26752)Instructions burned: 3 (million)
% 0.53/0.75 % (26752)------------------------------
% 0.53/0.75 % (26752)------------------------------
% 0.53/0.75 % (26755)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)
% 0.59/0.76 % (26756)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.76 % (26753)First to succeed.
% 0.59/0.76 % (26753)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26657"
% 0.59/0.76 % (26753)Refutation found. Thanks to Tanya!
% 0.59/0.76 % SZS status Theorem for Vampire---4
% 0.59/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76 % (26753)------------------------------
% 0.59/0.76 % (26753)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (26753)Termination reason: Refutation
% 0.59/0.76
% 0.59/0.76 % (26753)Memory used [KB]: 1166
% 0.59/0.76 % (26753)Time elapsed: 0.009 s
% 0.59/0.76 % (26753)Instructions burned: 12 (million)
% 0.59/0.76 % (26657)Success in time 0.389 s
% 0.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------