TSTP Solution File: SEU435+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU435+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 : n016.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 17:59:09 EDT 2023
% Result : Theorem 7.71s 3.19s
% Output : Refutation 7.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 42 ( 17 ~; 7 |; 11 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-6 aty)
% Number of variables : 54 (; 36 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f136883,plain,
$false,
inference(subsumption_resolution,[],[f136882,f69904]) ).
fof(f69904,plain,
m1_subset_1(sK1328,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1326,sK1327)))),
inference(cnf_transformation,[],[f50016]) ).
fof(f50016,plain,
( ~ m1_subset_1(a_6_0_relset_2(sK1326,sK1327,sK1328,sK1329,sK1330,sK1331),k1_zfmisc_1(k1_zfmisc_1(sK1330)))
& m1_subset_1(sK1331,k1_zfmisc_1(sK1329))
& m1_subset_1(sK1328,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1326,sK1327)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1326,sK1327,sK1328,sK1329,sK1330,sK1331])],[f19642,f50015,f50014]) ).
fof(f50014,plain,
( ? [X0,X1,X2] :
( ? [X3,X4,X5] :
( ~ m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
& m1_subset_1(X5,k1_zfmisc_1(X3)) )
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) )
=> ( ? [X5,X4,X3] :
( ~ m1_subset_1(a_6_0_relset_2(sK1326,sK1327,sK1328,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
& m1_subset_1(X5,k1_zfmisc_1(X3)) )
& m1_subset_1(sK1328,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1326,sK1327)))) ) ),
introduced(choice_axiom,[]) ).
fof(f50015,plain,
( ? [X5,X4,X3] :
( ~ m1_subset_1(a_6_0_relset_2(sK1326,sK1327,sK1328,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
& m1_subset_1(X5,k1_zfmisc_1(X3)) )
=> ( ~ m1_subset_1(a_6_0_relset_2(sK1326,sK1327,sK1328,sK1329,sK1330,sK1331),k1_zfmisc_1(k1_zfmisc_1(sK1330)))
& m1_subset_1(sK1331,k1_zfmisc_1(sK1329)) ) ),
introduced(choice_axiom,[]) ).
fof(f19642,plain,
? [X0,X1,X2] :
( ? [X3,X4,X5] :
( ~ m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
& m1_subset_1(X5,k1_zfmisc_1(X3)) )
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(ennf_transformation,[],[f19110]) ).
fof(f19110,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
=> ! [X3,X4,X5] :
( m1_subset_1(X5,k1_zfmisc_1(X3))
=> m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ) ),
inference(negated_conjecture,[],[f19109]) ).
fof(f19109,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
=> ! [X3,X4,X5] :
( m1_subset_1(X5,k1_zfmisc_1(X3))
=> m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TBgGx7BMiR/Vampire---4.8_23428',t36_relset_2) ).
fof(f136882,plain,
~ m1_subset_1(sK1328,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1326,sK1327)))),
inference(subsumption_resolution,[],[f136871,f69905]) ).
fof(f69905,plain,
m1_subset_1(sK1331,k1_zfmisc_1(sK1329)),
inference(cnf_transformation,[],[f50016]) ).
fof(f136871,plain,
( ~ m1_subset_1(sK1331,k1_zfmisc_1(sK1329))
| ~ m1_subset_1(sK1328,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1326,sK1327)))) ),
inference(resolution,[],[f69906,f115306]) ).
fof(f115306,plain,
! [X2,X3,X0,X1,X4,X5] :
( m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
| ~ m1_subset_1(X5,k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(cnf_transformation,[],[f47787]) ).
fof(f47787,plain,
! [X0,X1,X2,X3,X4,X5] :
( m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
| ~ m1_subset_1(X5,k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(flattening,[],[f47786]) ).
fof(f47786,plain,
! [X0,X1,X2,X3,X4,X5] :
( m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
| ~ m1_subset_1(X5,k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(ennf_transformation,[],[f19053]) ).
fof(f19053,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_subset_1(X5,k1_zfmisc_1(X3))
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) )
=> m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ),
file('/export/starexec/sandbox2/tmp/tmp.TBgGx7BMiR/Vampire---4.8_23428',s8_domain_1__e1_46__relset_2) ).
fof(f69906,plain,
~ m1_subset_1(a_6_0_relset_2(sK1326,sK1327,sK1328,sK1329,sK1330,sK1331),k1_zfmisc_1(k1_zfmisc_1(sK1330))),
inference(cnf_transformation,[],[f50016]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 1.23/1.29 % Problem : SEU435+3 : TPTP v8.1.2. Released v3.4.0.
% 1.23/1.32 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 1.31/1.53 % Computer : n016.cluster.edu
% 1.31/1.53 % Model : x86_64 x86_64
% 1.31/1.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.31/1.53 % Memory : 8042.1875MB
% 1.31/1.53 % OS : Linux 3.10.0-693.el7.x86_64
% 1.31/1.53 % CPULimit : 300
% 1.31/1.53 % WCLimit : 300
% 1.31/1.53 % DateTime : Wed Aug 23 17:50:41 EDT 2023
% 1.31/1.53 % CPUTime :
% 1.31/1.53 This is a FOF_THM_RFO_SEQ problem
% 1.31/1.54 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.TBgGx7BMiR/Vampire---4.8_23428
% 1.31/1.54 % (23536)Running in auto input_syntax mode. Trying TPTP
% 1.88/2.17 % (23543)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)
% 1.88/2.20 % (23539)dis-1010_1_fsd=off:fsr=off:fde=none:nm=4:sos=all:urr=ec_only_615 on Vampire---4 for (615ds/0Mi)
% 1.88/2.20 % (23537)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)
% 1.88/2.20 % (23541)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)
% 1.88/2.20 % (23542)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)
% 1.88/2.20 % (23544)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)
% 1.88/2.21 % (23538)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)
% 7.71/3.18 % (23544)First to succeed.
% 7.71/3.19 % (23544)Refutation found. Thanks to Tanya!
% 7.71/3.19 % SZS status Theorem for Vampire---4
% 7.71/3.19 % SZS output start Proof for Vampire---4
% See solution above
% 7.71/3.20 % (23544)------------------------------
% 7.71/3.20 % (23544)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 7.71/3.20 % (23544)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 7.71/3.20 % (23544)Termination reason: Refutation
% 7.71/3.20
% 7.71/3.20 % (23544)Memory used [KB]: 126778
% 7.71/3.20 % (23544)Time elapsed: 0.978 s
% 7.71/3.20 % (23544)------------------------------
% 7.71/3.20 % (23544)------------------------------
% 7.71/3.20 % (23536)Success in time 1.645 s
% 7.71/3.20 % Vampire---4.8 exiting
%------------------------------------------------------------------------------