TSTP Solution File: SEU128+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU128+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : n013.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 17:55:52 EDT 2023
% Result : Theorem 0.24s 0.64s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 10 unt; 0 def)
% Number of atoms : 172 ( 11 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 201 ( 75 ~; 69 |; 45 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 79 (; 63 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6706,plain,
$false,
inference(avatar_sat_refutation,[],[f6651,f6685,f6705]) ).
fof(f6705,plain,
spl12_26,
inference(avatar_contradiction_clause,[],[f6704]) ).
fof(f6704,plain,
( $false
| spl12_26 ),
inference(global_subsumption,[],[f168,f6692]) ).
fof(f6692,plain,
( ~ in(sK6(sK0,sF11),sK0)
| spl12_26 ),
inference(resolution,[],[f6646,f162]) ).
fof(f162,plain,
! [X0] :
( in(X0,sK1)
| ~ in(X0,sK0) ),
inference(resolution,[],[f92,f127]) ).
fof(f127,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK6(X0,X1),X1)
& in(sK6(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f75,f76]) ).
fof(f76,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK6(X0,X1),X1)
& in(sK6(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.4ousdGsVUS/Vampire---4.8_20211',d3_tarski) ).
fof(f92,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ~ subset(sK0,set_intersection2(sK1,sK2))
& subset(sK0,sK2)
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f44,f61]) ).
fof(f61,plain,
( ? [X0,X1,X2] :
( ~ subset(X0,set_intersection2(X1,X2))
& subset(X0,X2)
& subset(X0,X1) )
=> ( ~ subset(sK0,set_intersection2(sK1,sK2))
& subset(sK0,sK2)
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
? [X0,X1,X2] :
( ~ subset(X0,set_intersection2(X1,X2))
& subset(X0,X2)
& subset(X0,X1) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
? [X0,X1,X2] :
( ~ subset(X0,set_intersection2(X1,X2))
& subset(X0,X2)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X0,X1) )
=> subset(X0,set_intersection2(X1,X2)) ),
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X0,X1) )
=> subset(X0,set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.4ousdGsVUS/Vampire---4.8_20211',t19_xboole_1) ).
fof(f6646,plain,
( ~ in(sK6(sK0,sF11),sK1)
| spl12_26 ),
inference(avatar_component_clause,[],[f6644]) ).
fof(f6644,plain,
( spl12_26
<=> in(sK6(sK0,sF11),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_26])]) ).
fof(f168,plain,
in(sK6(sK0,sF11),sK0),
inference(resolution,[],[f156,f128]) ).
fof(f128,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f156,plain,
~ subset(sK0,sF11),
inference(definition_folding,[],[f94,f155]) ).
fof(f155,plain,
set_intersection2(sK1,sK2) = sF11,
introduced(function_definition,[]) ).
fof(f94,plain,
~ subset(sK0,set_intersection2(sK1,sK2)),
inference(cnf_transformation,[],[f62]) ).
fof(f6685,plain,
spl12_27,
inference(avatar_contradiction_clause,[],[f6684]) ).
fof(f6684,plain,
( $false
| spl12_27 ),
inference(global_subsumption,[],[f168,f6672]) ).
fof(f6672,plain,
( ~ in(sK6(sK0,sF11),sK0)
| spl12_27 ),
inference(resolution,[],[f6650,f165]) ).
fof(f165,plain,
! [X0] :
( in(X0,sK2)
| ~ in(X0,sK0) ),
inference(resolution,[],[f93,f127]) ).
fof(f93,plain,
subset(sK0,sK2),
inference(cnf_transformation,[],[f62]) ).
fof(f6650,plain,
( ~ in(sK6(sK0,sF11),sK2)
| spl12_27 ),
inference(avatar_component_clause,[],[f6648]) ).
fof(f6648,plain,
( spl12_27
<=> in(sK6(sK0,sF11),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_27])]) ).
fof(f6651,plain,
( ~ spl12_26
| ~ spl12_27 ),
inference(avatar_split_clause,[],[f6613,f6648,f6644]) ).
fof(f6613,plain,
( ~ in(sK6(sK0,sF11),sK2)
| ~ in(sK6(sK0,sF11),sK1) ),
inference(resolution,[],[f6157,f169]) ).
fof(f169,plain,
~ in(sK6(sK0,sF11),sF11),
inference(resolution,[],[f156,f129]) ).
fof(f129,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f6157,plain,
! [X3] :
( in(X3,sF11)
| ~ in(X3,sK2)
| ~ in(X3,sK1) ),
inference(superposition,[],[f149,f155]) ).
fof(f149,plain,
! [X0,X1,X4] :
( in(X4,set_intersection2(X0,X1))
| ~ in(X4,X1)
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f134]) ).
fof(f134,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ( ( ~ in(sK7(X0,X1,X2),X1)
| ~ in(sK7(X0,X1,X2),X0)
| ~ in(sK7(X0,X1,X2),X2) )
& ( ( in(sK7(X0,X1,X2),X1)
& in(sK7(X0,X1,X2),X0) )
| in(sK7(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0) )
& ( ( in(X4,X1)
& in(X4,X0) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f80,f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) )
=> ( ( ~ in(sK7(X0,X1,X2),X1)
| ~ in(sK7(X0,X1,X2),X0)
| ~ in(sK7(X0,X1,X2),X2) )
& ( ( in(sK7(X0,X1,X2),X1)
& in(sK7(X0,X1,X2),X0) )
| in(sK7(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0) )
& ( ( in(X4,X1)
& in(X4,X0) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.4ousdGsVUS/Vampire---4.8_20211',d3_xboole_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SEU128+2 : TPTP v8.1.2. Released v3.3.0.
% 0.16/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.17/0.37 % Computer : n013.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Wed Aug 23 19:00:02 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.17/0.38 This is a FOF_THM_RFO_SEQ problem
% 0.17/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.4ousdGsVUS/Vampire---4.8_20211
% 0.17/0.38 % (20403)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (20405)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.24/0.44 % (20404)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.24/0.44 % (20409)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.24/0.44 % (20407)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.24/0.44 % (20406)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.24/0.44 % (20408)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.24/0.44 % (20410)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.24/0.63 % (20407)First to succeed.
% 0.24/0.64 % (20407)Refutation found. Thanks to Tanya!
% 0.24/0.64 % SZS status Theorem for Vampire---4
% 0.24/0.64 % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.64 % (20407)------------------------------
% 0.24/0.64 % (20407)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.64 % (20407)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.64 % (20407)Termination reason: Refutation
% 0.24/0.64
% 0.24/0.64 % (20407)Memory used [KB]: 14839
% 0.24/0.64 % (20407)Time elapsed: 0.193 s
% 0.24/0.64 % (20407)------------------------------
% 0.24/0.64 % (20407)------------------------------
% 0.24/0.64 % (20403)Success in time 0.252 s
% 0.24/0.64 % Vampire---4.8 exiting
%------------------------------------------------------------------------------