TSTP Solution File: LAT288+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT288+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 : 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 : Sun May 5 07:23:00 EDT 2024
% Result : Theorem 0.59s 0.80s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 17 unt; 0 def)
% Number of atoms : 213 ( 14 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 259 ( 92 ~; 103 |; 48 &)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 63 ( 53 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f861,plain,
$false,
inference(subsumption_resolution,[],[f857,f695]) ).
fof(f695,plain,
~ v1_filter_0(sK6(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)),sK0),
inference(unit_resulting_resolution,[],[f471,f215,f213]) ).
fof(f213,plain,
! [X0] :
( r2_hidden(X0,k7_lopclset(sK0))
| ~ m1_filter_0(X0,sK0)
| ~ v1_filter_0(X0,sK0) ),
inference(subsumption_resolution,[],[f212,f115]) ).
fof(f115,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
? [X0] :
( ? [X1] :
( ~ r1_tarski(a_2_0_lopclset(X0,X1),k7_lopclset(X0))
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
? [X0] :
( ? [X1] :
( ~ r1_tarski(a_2_0_lopclset(X0,X1),k7_lopclset(X0))
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_tarski(a_2_0_lopclset(X0,X1),k7_lopclset(X0)) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_tarski(a_2_0_lopclset(X0,X1),k7_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.l9IHXX6i8V/Vampire---4.8_979',t19_lopclset) ).
fof(f212,plain,
! [X0] :
( r2_hidden(X0,k7_lopclset(sK0))
| ~ m1_filter_0(X0,sK0)
| ~ v1_filter_0(X0,sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f211,f119]) ).
fof(f119,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f73]) ).
fof(f211,plain,
! [X0] :
( r2_hidden(X0,k7_lopclset(sK0))
| ~ l3_lattices(sK0)
| ~ m1_filter_0(X0,sK0)
| ~ v1_filter_0(X0,sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f210,f118]) ).
fof(f118,plain,
~ v3_realset2(sK0),
inference(cnf_transformation,[],[f73]) ).
fof(f210,plain,
! [X0] :
( r2_hidden(X0,k7_lopclset(sK0))
| v3_realset2(sK0)
| ~ l3_lattices(sK0)
| ~ m1_filter_0(X0,sK0)
| ~ v1_filter_0(X0,sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f209,f117]) ).
fof(f117,plain,
v17_lattices(sK0),
inference(cnf_transformation,[],[f73]) ).
fof(f209,plain,
! [X0] :
( r2_hidden(X0,k7_lopclset(sK0))
| ~ v17_lattices(sK0)
| v3_realset2(sK0)
| ~ l3_lattices(sK0)
| ~ m1_filter_0(X0,sK0)
| ~ v1_filter_0(X0,sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f203,f116]) ).
fof(f116,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f73]) ).
fof(f203,plain,
! [X0] :
( r2_hidden(X0,k7_lopclset(sK0))
| ~ v10_lattices(sK0)
| ~ v17_lattices(sK0)
| v3_realset2(sK0)
| ~ l3_lattices(sK0)
| ~ m1_filter_0(X0,sK0)
| ~ v1_filter_0(X0,sK0)
| v3_struct_0(sK0) ),
inference(superposition,[],[f189,f195]) ).
fof(f195,plain,
k7_lopclset(sK0) = a_1_1_lopclset(sK0),
inference(unit_resulting_resolution,[],[f116,f115,f118,f117,f119,f169]) ).
fof(f169,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| v3_struct_0(X0)
| k7_lopclset(X0) = a_1_1_lopclset(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( k7_lopclset(X0) = a_1_1_lopclset(X0)
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0] :
( k7_lopclset(X0) = a_1_1_lopclset(X0)
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k7_lopclset(X0) = a_1_1_lopclset(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.l9IHXX6i8V/Vampire---4.8_979',d5_lopclset) ).
fof(f189,plain,
! [X2,X1] :
( r2_hidden(X2,a_1_1_lopclset(X1))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v1_filter_0(X2,X1)
| v3_struct_0(X1) ),
inference(equality_resolution,[],[f159]) ).
fof(f159,plain,
! [X2,X0,X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1)
| X0 != X2
| ~ v1_filter_0(X2,X1)
| r2_hidden(X0,a_1_1_lopclset(X1)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ( r2_hidden(X0,a_1_1_lopclset(X1))
<=> ? [X2] :
( v1_filter_0(X2,X1)
& X0 = X2
& m1_filter_0(X2,X1) ) )
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ( r2_hidden(X0,a_1_1_lopclset(X1))
<=> ? [X2] :
( v1_filter_0(X2,X1)
& X0 = X2
& m1_filter_0(X2,X1) ) )
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( r2_hidden(X0,a_1_1_lopclset(X1))
<=> ? [X2] :
( v1_filter_0(X2,X1)
& X0 = X2
& m1_filter_0(X2,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.l9IHXX6i8V/Vampire---4.8_979',fraenkel_a_1_1_lopclset) ).
fof(f215,plain,
~ r2_hidden(sK6(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)),k7_lopclset(sK0)),
inference(unit_resulting_resolution,[],[f114,f139]) ).
fof(f139,plain,
! [X0,X1] :
( ~ r2_hidden(sK6(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.l9IHXX6i8V/Vampire---4.8_979',d3_tarski) ).
fof(f114,plain,
~ r1_tarski(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)),
inference(cnf_transformation,[],[f73]) ).
fof(f471,plain,
m1_filter_0(sK6(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)),sK0),
inference(forward_demodulation,[],[f455,f456]) ).
fof(f456,plain,
sK6(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)) = sK3(sK6(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)),sK0,sK1),
inference(unit_resulting_resolution,[],[f115,f116,f117,f119,f118,f113,f214,f127]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_lopclset(X1,X2))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| sK3(X0,X1,X2) = X0
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
<=> ? [X3] :
( r2_hidden(X2,X3)
& v1_filter_0(X3,X1)
& X0 = X3
& m1_filter_0(X3,X1) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
<=> ? [X3] :
( r2_hidden(X2,X3)
& v1_filter_0(X3,X1)
& X0 = X3
& m1_filter_0(X3,X1) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
<=> ? [X3] :
( r2_hidden(X2,X3)
& v1_filter_0(X3,X1)
& X0 = X3
& m1_filter_0(X3,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.l9IHXX6i8V/Vampire---4.8_979',fraenkel_a_2_0_lopclset) ).
fof(f214,plain,
r2_hidden(sK6(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)),a_2_0_lopclset(sK0,sK1)),
inference(unit_resulting_resolution,[],[f114,f138]) ).
fof(f138,plain,
! [X0,X1] :
( r2_hidden(sK6(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f113,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f73]) ).
fof(f455,plain,
m1_filter_0(sK3(sK6(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)),sK0,sK1),sK0),
inference(unit_resulting_resolution,[],[f116,f115,f117,f119,f118,f113,f214,f126]) ).
fof(f126,plain,
! [X2,X0,X1] :
( m1_filter_0(sK3(X0,X1,X2),X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f857,plain,
v1_filter_0(sK6(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)),sK0),
inference(superposition,[],[f457,f456]) ).
fof(f457,plain,
v1_filter_0(sK3(sK6(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)),sK0,sK1),sK0),
inference(unit_resulting_resolution,[],[f116,f115,f117,f119,f118,f113,f214,f128]) ).
fof(f128,plain,
! [X2,X0,X1] :
( v1_filter_0(sK3(X0,X1,X2),X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ),
inference(cnf_transformation,[],[f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LAT288+1 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.11 % 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
% 0.10/0.31 % Computer : n026.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
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 12:27:21 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.31 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.l9IHXX6i8V/Vampire---4.8_979
% 0.59/0.79 % (1175)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.59/0.79 % (1174)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.79 % (1172)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 (2995ds/34Mi)
% 0.59/0.79 % (1173)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 (2995ds/51Mi)
% 0.59/0.79 % (1178)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 (2995ds/83Mi)
% 0.59/0.79 % (1180)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 (2995ds/56Mi)
% 0.59/0.79 % (1177)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.59/0.79 % (1176)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 (2995ds/34Mi)
% 0.59/0.79 % (1177)Refutation not found, incomplete strategy% (1177)------------------------------
% 0.59/0.79 % (1177)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (1177)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79
% 0.59/0.79 % (1177)Memory used [KB]: 1115
% 0.59/0.79 % (1177)Time elapsed: 0.004 s
% 0.59/0.79 % (1177)Instructions burned: 4 (million)
% 0.59/0.79 % (1177)------------------------------
% 0.59/0.79 % (1177)------------------------------
% 0.59/0.79 % (1181)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 (2995ds/55Mi)
% 0.59/0.80 % (1178)First to succeed.
% 0.59/0.80 % (1178)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1113"
% 0.59/0.80 % (1178)Refutation found. Thanks to Tanya!
% 0.59/0.80 % SZS status Theorem for Vampire---4
% 0.59/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.80 % (1178)------------------------------
% 0.59/0.80 % (1178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (1178)Termination reason: Refutation
% 0.59/0.80
% 0.59/0.80 % (1178)Memory used [KB]: 1291
% 0.59/0.80 % (1178)Time elapsed: 0.015 s
% 0.59/0.80 % (1178)Instructions burned: 25 (million)
% 0.59/0.80 % (1113)Success in time 0.481 s
% 0.59/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------