TSTP Solution File: LAT300+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT300+1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.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 : Mon May 20 23:34:34 EDT 2024
% Result : Theorem 0.55s 0.74s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 62 ( 10 unt; 0 def)
% Number of atoms : 201 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 231 ( 92 ~; 87 |; 36 &)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 74 ( 62 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f222,plain,
$false,
inference(avatar_sat_refutation,[],[f181,f194,f216,f221]) ).
fof(f221,plain,
~ spl15_2,
inference(avatar_contradiction_clause,[],[f220]) ).
fof(f220,plain,
( $false
| ~ spl15_2 ),
inference(subsumption_resolution,[],[f219,f114]) ).
fof(f114,plain,
m2_filter_2(sK1,sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ! [X2] :
( ~ r2_hidden(X2,sK1)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) )
& m2_filter_2(sK1,sK0)
& l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f47,f82,f81]) ).
fof(f81,plain,
( ? [X0] :
( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) )
& m2_filter_2(X1,sK0) )
& l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) )
& m2_filter_2(X1,sK0) )
=> ( ! [X2] :
( ~ r2_hidden(X2,sK1)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) )
& m2_filter_2(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_filter_2) ).
fof(f219,plain,
( ~ m2_filter_2(sK1,sK0)
| ~ spl15_2 ),
inference(resolution,[],[f180,f197]) ).
fof(f197,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| ~ m2_filter_2(X0,sK0) ),
inference(subsumption_resolution,[],[f196,f111]) ).
fof(f111,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f196,plain,
! [X0] :
( ~ m2_filter_2(X0,sK0)
| ~ v1_xboole_0(X0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f195,f113]) ).
fof(f113,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f195,plain,
! [X0] :
( ~ m2_filter_2(X0,sK0)
| ~ l3_lattices(sK0)
| ~ v1_xboole_0(X0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f128,f112]) ).
fof(f112,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f128,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v1_xboole_0(X1)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f180,plain,
( v1_xboole_0(sK1)
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl15_2
<=> v1_xboole_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f216,plain,
spl15_3,
inference(avatar_contradiction_clause,[],[f215]) ).
fof(f215,plain,
( $false
| spl15_3 ),
inference(subsumption_resolution,[],[f214,f111]) ).
fof(f214,plain,
( v3_struct_0(sK0)
| spl15_3 ),
inference(subsumption_resolution,[],[f213,f112]) ).
fof(f213,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| spl15_3 ),
inference(subsumption_resolution,[],[f212,f113]) ).
fof(f212,plain,
( ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| spl15_3 ),
inference(subsumption_resolution,[],[f211,f114]) ).
fof(f211,plain,
( ~ m2_filter_2(sK1,sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| spl15_3 ),
inference(resolution,[],[f207,f129]) ).
fof(f129,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f207,plain,
( ~ m2_lattice4(sK1,sK0)
| spl15_3 ),
inference(resolution,[],[f202,f193]) ).
fof(f193,plain,
( ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| spl15_3 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl15_3
<=> m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f202,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_lattice4(X0,sK0) ),
inference(subsumption_resolution,[],[f201,f111]) ).
fof(f201,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f200,f113]) ).
fof(f200,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0) ),
inference(resolution,[],[f122,f112]) ).
fof(f122,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f194,plain,
( spl15_2
| ~ spl15_3
| spl15_1 ),
inference(avatar_split_clause,[],[f189,f174,f191,f178]) ).
fof(f174,plain,
( spl15_1
<=> m1_subset_1(sK8(sK1),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f189,plain,
( ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(sK1)
| spl15_1 ),
inference(resolution,[],[f187,f157]) ).
fof(f157,plain,
! [X0] :
( r2_hidden(sK8(X0),X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f144,f140]) ).
fof(f140,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f23,f97]) ).
fof(f97,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK8(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f23,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f144,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f187,plain,
( ! [X0] :
( ~ r2_hidden(sK8(sK1),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) )
| spl15_1 ),
inference(resolution,[],[f143,f176]) ).
fof(f176,plain,
( ~ m1_subset_1(sK8(sK1),u1_struct_0(sK0))
| spl15_1 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f143,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f181,plain,
( ~ spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f168,f178,f174]) ).
fof(f168,plain,
( v1_xboole_0(sK1)
| ~ m1_subset_1(sK8(sK1),u1_struct_0(sK0)) ),
inference(resolution,[],[f157,f115]) ).
fof(f115,plain,
! [X2] :
( ~ r2_hidden(X2,sK1)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : LAT300+1 : TPTP v8.2.0. Released v3.4.0.
% 0.09/0.11 % 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
% 0.10/0.31 % Computer : n006.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Sun May 19 20:13:23 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.32 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/benchmark/theBenchmark.p
% 0.55/0.74 % (15618)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 theBenchmark for (2995ds/51Mi)
% 0.55/0.74 % (15617)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 theBenchmark for (2995ds/34Mi)
% 0.55/0.74 % (15619)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.55/0.74 % (15621)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 theBenchmark for (2995ds/34Mi)
% 0.55/0.74 % (15620)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.55/0.74 % (15624)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.55/0.74 % (15624)Refutation not found, incomplete strategy% (15624)------------------------------
% 0.55/0.74 % (15624)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (15624)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (15624)Memory used [KB]: 1049
% 0.55/0.74 % (15624)Time elapsed: 0.002 s
% 0.55/0.74 % (15624)Instructions burned: 3 (million)
% 0.55/0.74 % (15624)------------------------------
% 0.55/0.74 % (15624)------------------------------
% 0.55/0.74 % (15620)Refutation not found, incomplete strategy% (15620)------------------------------
% 0.55/0.74 % (15620)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (15620)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (15620)Memory used [KB]: 1051
% 0.55/0.74 % (15620)Time elapsed: 0.004 s
% 0.55/0.74 % (15620)Instructions burned: 5 (million)
% 0.55/0.74 % (15619)First to succeed.
% 0.55/0.74 % (15620)------------------------------
% 0.55/0.74 % (15620)------------------------------
% 0.55/0.74 % (15621)Also succeeded, but the first one will report.
% 0.55/0.74 % (15622)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.55/0.74 % (15617)Also succeeded, but the first one will report.
% 0.55/0.74 % (15623)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 theBenchmark for (2995ds/83Mi)
% 0.55/0.74 % (15619)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15600"
% 0.55/0.74 % (15622)Refutation not found, incomplete strategy% (15622)------------------------------
% 0.55/0.74 % (15622)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (15622)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (15622)Memory used [KB]: 1048
% 0.55/0.74 % (15622)Time elapsed: 0.002 s
% 0.55/0.74 % (15622)Instructions burned: 3 (million)
% 0.55/0.74 % (15622)------------------------------
% 0.55/0.74 % (15622)------------------------------
% 0.55/0.74 % (15619)Refutation found. Thanks to Tanya!
% 0.55/0.74 % SZS status Theorem for theBenchmark
% 0.55/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.74 % (15619)------------------------------
% 0.55/0.74 % (15619)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (15619)Termination reason: Refutation
% 0.55/0.74
% 0.55/0.74 % (15619)Memory used [KB]: 1084
% 0.55/0.74 % (15619)Time elapsed: 0.006 s
% 0.55/0.74 % (15619)Instructions burned: 7 (million)
% 0.55/0.74 % (15600)Success in time 0.421 s
% 0.55/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------