TSTP Solution File: SEU424+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU424+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n022.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 : Thu Aug 31 17:59:02 EDT 2023
% Result : Theorem 13.54s 5.38s
% Output : Refutation 13.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 69 ( 27 ~; 12 |; 20 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 40 (; 24 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f136391,plain,
$false,
inference(subsumption_resolution,[],[f136390,f69844]) ).
fof(f69844,plain,
~ v1_xboole_0(sK1326),
inference(cnf_transformation,[],[f49970]) ).
fof(f49970,plain,
( ~ m1_subset_1(a_4_0_relset_2(sK1326,sK1327,sK1328,sK1329),k1_zfmisc_1(k1_zfmisc_1(sK1327)))
& m2_relset_1(sK1329,sK1326,sK1327)
& m1_subset_1(sK1328,k1_zfmisc_1(sK1326))
& ~ v1_xboole_0(sK1326) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1326,sK1327,sK1328,sK1329])],[f19622,f49969,f49968,f49967]) ).
fof(f49967,plain,
( ? [X0] :
( ? [X1,X2] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) )
=> ( ? [X2,X1] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(sK1326,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X3,sK1326,X1) )
& m1_subset_1(X2,k1_zfmisc_1(sK1326)) )
& ~ v1_xboole_0(sK1326) ) ),
introduced(choice_axiom,[]) ).
fof(f49968,plain,
( ? [X2,X1] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(sK1326,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X3,sK1326,X1) )
& m1_subset_1(X2,k1_zfmisc_1(sK1326)) )
=> ( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(sK1326,sK1327,sK1328,X3),k1_zfmisc_1(k1_zfmisc_1(sK1327)))
& m2_relset_1(X3,sK1326,sK1327) )
& m1_subset_1(sK1328,k1_zfmisc_1(sK1326)) ) ),
introduced(choice_axiom,[]) ).
fof(f49969,plain,
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(sK1326,sK1327,sK1328,X3),k1_zfmisc_1(k1_zfmisc_1(sK1327)))
& m2_relset_1(X3,sK1326,sK1327) )
=> ( ~ m1_subset_1(a_4_0_relset_2(sK1326,sK1327,sK1328,sK1329),k1_zfmisc_1(k1_zfmisc_1(sK1327)))
& m2_relset_1(sK1329,sK1326,sK1327) ) ),
introduced(choice_axiom,[]) ).
fof(f19622,plain,
? [X0] :
( ? [X1,X2] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f19090]) ).
fof(f19090,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
inference(negated_conjecture,[],[f19089]) ).
fof(f19089,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Zdv0lcUUzr/Vampire---4.8_15922',t18_relset_2) ).
fof(f136390,plain,
v1_xboole_0(sK1326),
inference(subsumption_resolution,[],[f136389,f69845]) ).
fof(f69845,plain,
m1_subset_1(sK1328,k1_zfmisc_1(sK1326)),
inference(cnf_transformation,[],[f49970]) ).
fof(f136389,plain,
( ~ m1_subset_1(sK1328,k1_zfmisc_1(sK1326))
| v1_xboole_0(sK1326) ),
inference(subsumption_resolution,[],[f136378,f69846]) ).
fof(f69846,plain,
m2_relset_1(sK1329,sK1326,sK1327),
inference(cnf_transformation,[],[f49970]) ).
fof(f136378,plain,
( ~ m2_relset_1(sK1329,sK1326,sK1327)
| ~ m1_subset_1(sK1328,k1_zfmisc_1(sK1326))
| v1_xboole_0(sK1326) ),
inference(resolution,[],[f69847,f113628]) ).
fof(f113628,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f46537]) ).
fof(f46537,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(flattening,[],[f46536]) ).
fof(f46536,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f19053]) ).
fof(f19053,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& m1_subset_1(X2,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X0) )
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.Zdv0lcUUzr/Vampire---4.8_15922',s8_domain_1__e1_22__relset_2) ).
fof(f69847,plain,
~ m1_subset_1(a_4_0_relset_2(sK1326,sK1327,sK1328,sK1329),k1_zfmisc_1(k1_zfmisc_1(sK1327))),
inference(cnf_transformation,[],[f49970]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 2.24/2.33 % Problem : SEU424+3 : TPTP v8.1.2. Released v3.4.0.
% 2.32/2.35 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 2.34/2.56 % Computer : n022.cluster.edu
% 2.34/2.56 % Model : x86_64 x86_64
% 2.34/2.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 2.34/2.56 % Memory : 8042.1875MB
% 2.34/2.56 % OS : Linux 3.10.0-693.el7.x86_64
% 2.34/2.56 % CPULimit : 300
% 2.34/2.56 % WCLimit : 300
% 2.34/2.56 % DateTime : Wed Aug 23 22:08:01 EDT 2023
% 2.41/2.56 % CPUTime :
% 2.41/2.56 This is a FOF_THM_RFO_SEQ problem
% 2.41/2.57 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.Zdv0lcUUzr/Vampire---4.8_15922
% 2.41/2.57 % (16035)Running in auto input_syntax mode. Trying TPTP
% 3.60/3.88 % (16038)dis-1010_1_fsd=off:fsr=off:fde=none:nm=4:sos=all:urr=ec_only_615 on Vampire---4 for (615ds/0Mi)
% 3.60/3.88 % (16037)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_619 on Vampire---4 for (619ds/0Mi)
% 3.60/3.88 % (16036)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_802 on Vampire---4 for (802ds/0Mi)
% 3.66/3.88 % (16041)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_428 on Vampire---4 for (428ds/0Mi)
% 3.66/3.88 % (16042)lrs+1002_3:4_add=off:ep=RST:fsd=off:fde=none:gs=on:sos=on:sp=scramble:stl=62_388 on Vampire---4 for (388ds/0Mi)
% 3.66/3.88 % (16039)lrs+10_7_av=off:bd=preordered:bs=on:ep=RS:fsd=off:irw=on:nm=4:nwc=1.2:sos=all:tgt=full:urr=ec_only:stl=62_571 on Vampire---4 for (571ds/0Mi)
% 3.66/3.88 % (16040)ott+1011_2_afr=on:amm=sco:anc=all:bs=unit_only:bsr=on:cond=on:er=known:fde=unused:gs=on:gsem=on:lcm=reverse:lma=on:msp=off:nm=2:nwc=1.1:nicw=on:sas=z3:sos=all:sac=on:sp=reverse_arity_550 on Vampire---4 for (550ds/0Mi)
% 13.54/5.36 % (16042)First to succeed.
% 13.54/5.38 % (16042)Refutation found. Thanks to Tanya!
% 13.54/5.38 % SZS status Theorem for Vampire---4
% 13.54/5.38 % SZS output start Proof for Vampire---4
% See solution above
% 13.54/5.38 % (16042)------------------------------
% 13.54/5.38 % (16042)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 13.54/5.38 % (16042)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 13.54/5.38 % (16042)Termination reason: Refutation
% 13.54/5.38
% 13.54/5.38 % (16042)Memory used [KB]: 125754
% 13.54/5.38 % (16042)Time elapsed: 1.485 s
% 13.54/5.38 % (16042)------------------------------
% 13.54/5.38 % (16042)------------------------------
% 13.54/5.38 % (16035)Success in time 2.8 s
% 13.54/5.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------