TSTP Solution File: SET012-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET012-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n011.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 : Fri Sep 1 22:07:40 EDT 2023
% Result : Unsatisfiable 0.18s 0.61s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 11
% Syntax : Number of formulae : 49 ( 18 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 61 ( 23 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 36 (; 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8470,plain,
$false,
inference(subsumption_resolution,[],[f8469,f24]) ).
fof(f24,axiom,
~ equal_sets(a,c),
file('/export/starexec/sandbox2/tmp/tmp.03nJyPiGWl/Vampire---4.8_25798',prove_a_equals_c) ).
fof(f8469,plain,
equal_sets(a,c),
inference(subsumption_resolution,[],[f8467,f8090]) ).
fof(f8090,plain,
subset(a,c),
inference(resolution,[],[f8076,f4]) ).
fof(f4,axiom,
! [X2,X3] :
( ~ member(member_of_1_not_of_2(X2,X3),X3)
| subset(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.03nJyPiGWl/Vampire---4.8_25798',subsets_axiom2) ).
fof(f8076,plain,
member(member_of_1_not_of_2(a,c),c),
inference(resolution,[],[f8073,f48]) ).
fof(f48,plain,
! [X6] :
( ~ member(X6,complement(b))
| member(X6,c) ),
inference(resolution,[],[f2,f27]) ).
fof(f27,plain,
subset(complement(b),c),
inference(resolution,[],[f13,f23]) ).
fof(f23,axiom,
equal_sets(complement(b),c),
file('/export/starexec/sandbox2/tmp/tmp.03nJyPiGWl/Vampire---4.8_25798',complement_of_b_is_c) ).
fof(f13,axiom,
! [X2,X3] :
( ~ equal_sets(X2,X3)
| subset(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.03nJyPiGWl/Vampire---4.8_25798',set_equal_sets_are_subsets1) ).
fof(f2,axiom,
! [X2,X3,X1] :
( ~ subset(X2,X3)
| ~ member(X1,X2)
| member(X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.03nJyPiGWl/Vampire---4.8_25798',membership_in_subsets) ).
fof(f8073,plain,
member(member_of_1_not_of_2(a,c),complement(b)),
inference(subsumption_resolution,[],[f8062,f1252]) ).
fof(f1252,plain,
! [X3] :
( member(member_of_1_not_of_2(a,c),X3)
| member(member_of_1_not_of_2(a,X3),a) ),
inference(resolution,[],[f1248,f46]) ).
fof(f46,plain,
! [X2,X3,X4] :
( ~ member(X2,X3)
| member(X2,X4)
| member(member_of_1_not_of_2(X3,X4),X3) ),
inference(resolution,[],[f2,f3]) ).
fof(f3,axiom,
! [X2,X3] :
( subset(X2,X3)
| member(member_of_1_not_of_2(X2,X3),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.03nJyPiGWl/Vampire---4.8_25798',subsets_axiom1) ).
fof(f1248,plain,
member(member_of_1_not_of_2(a,c),a),
inference(subsumption_resolution,[],[f1247,f3]) ).
fof(f1247,plain,
( member(member_of_1_not_of_2(a,c),a)
| ~ subset(a,c) ),
inference(subsumption_resolution,[],[f1244,f24]) ).
fof(f1244,plain,
( member(member_of_1_not_of_2(a,c),a)
| ~ subset(a,c)
| equal_sets(a,c) ),
inference(resolution,[],[f1233,f15]) ).
fof(f15,axiom,
! [X6,X7] :
( ~ subset(X6,X7)
| ~ subset(X7,X6)
| equal_sets(X7,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.03nJyPiGWl/Vampire---4.8_25798',subsets_are_set_equal_sets) ).
fof(f1233,plain,
( subset(c,a)
| member(member_of_1_not_of_2(a,c),a) ),
inference(resolution,[],[f1226,f4]) ).
fof(f1226,plain,
( member(member_of_1_not_of_2(c,a),a)
| member(member_of_1_not_of_2(a,c),a) ),
inference(resolution,[],[f1214,f51]) ).
fof(f51,plain,
! [X0] :
( member(X0,b)
| member(X0,a) ),
inference(resolution,[],[f47,f5]) ).
fof(f5,axiom,
! [X0,X4] :
( member(X0,complement(X4))
| member(X0,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.03nJyPiGWl/Vampire---4.8_25798',member_of_set_or_complement) ).
fof(f47,plain,
! [X5] :
( ~ member(X5,complement(a))
| member(X5,b) ),
inference(resolution,[],[f2,f26]) ).
fof(f26,plain,
subset(complement(a),b),
inference(resolution,[],[f13,f22]) ).
fof(f22,axiom,
equal_sets(complement(a),b),
file('/export/starexec/sandbox2/tmp/tmp.03nJyPiGWl/Vampire---4.8_25798',complement_of_a_is_b) ).
fof(f1214,plain,
( ~ member(member_of_1_not_of_2(c,a),b)
| member(member_of_1_not_of_2(a,c),a) ),
inference(resolution,[],[f1204,f6]) ).
fof(f6,axiom,
! [X0,X4] :
( ~ member(X0,complement(X4))
| ~ member(X0,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.03nJyPiGWl/Vampire---4.8_25798',not_member_of_set_and_complement) ).
fof(f1204,plain,
( member(member_of_1_not_of_2(c,a),complement(b))
| member(member_of_1_not_of_2(a,c),a) ),
inference(resolution,[],[f1201,f50]) ).
fof(f50,plain,
! [X8] :
( ~ member(X8,c)
| member(X8,complement(b)) ),
inference(resolution,[],[f2,f30]) ).
fof(f30,plain,
subset(c,complement(b)),
inference(resolution,[],[f14,f23]) ).
fof(f14,axiom,
! [X2,X3] :
( ~ equal_sets(X3,X2)
| subset(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.03nJyPiGWl/Vampire---4.8_25798',set_equal_sets_are_subsets2) ).
fof(f1201,plain,
( member(member_of_1_not_of_2(c,a),c)
| member(member_of_1_not_of_2(a,c),a) ),
inference(resolution,[],[f178,f24]) ).
fof(f178,plain,
! [X2,X1] :
( equal_sets(X1,X2)
| member(member_of_1_not_of_2(X2,X1),X2)
| member(member_of_1_not_of_2(X1,X2),X1) ),
inference(resolution,[],[f76,f3]) ).
fof(f76,plain,
! [X2,X1] :
( ~ subset(X1,X2)
| equal_sets(X1,X2)
| member(member_of_1_not_of_2(X2,X1),X2) ),
inference(resolution,[],[f15,f3]) ).
fof(f8062,plain,
( member(member_of_1_not_of_2(a,c),complement(b))
| ~ member(member_of_1_not_of_2(a,complement(b)),a) ),
inference(resolution,[],[f3090,f6]) ).
fof(f3090,plain,
( member(member_of_1_not_of_2(a,complement(b)),complement(a))
| member(member_of_1_not_of_2(a,c),complement(b)) ),
inference(resolution,[],[f1253,f49]) ).
fof(f49,plain,
! [X7] :
( ~ member(X7,b)
| member(X7,complement(a)) ),
inference(resolution,[],[f2,f29]) ).
fof(f29,plain,
subset(b,complement(a)),
inference(resolution,[],[f14,f22]) ).
fof(f1253,plain,
! [X4] :
( member(member_of_1_not_of_2(a,complement(X4)),X4)
| member(member_of_1_not_of_2(a,c),complement(X4)) ),
inference(resolution,[],[f1248,f104]) ).
fof(f104,plain,
! [X2,X3,X4] :
( ~ member(X4,X2)
| member(member_of_1_not_of_2(X2,complement(X3)),X3)
| member(X4,complement(X3)) ),
inference(resolution,[],[f42,f2]) ).
fof(f42,plain,
! [X0,X1] :
( subset(X0,complement(X1))
| member(member_of_1_not_of_2(X0,complement(X1)),X1) ),
inference(resolution,[],[f4,f5]) ).
fof(f8467,plain,
( ~ subset(a,c)
| equal_sets(a,c) ),
inference(resolution,[],[f8452,f15]) ).
fof(f8452,plain,
subset(c,a),
inference(resolution,[],[f8433,f4]) ).
fof(f8433,plain,
member(member_of_1_not_of_2(c,a),a),
inference(resolution,[],[f8417,f51]) ).
fof(f8417,plain,
~ member(member_of_1_not_of_2(c,a),b),
inference(resolution,[],[f8130,f6]) ).
fof(f8130,plain,
member(member_of_1_not_of_2(c,a),complement(b)),
inference(resolution,[],[f8105,f50]) ).
fof(f8105,plain,
member(member_of_1_not_of_2(c,a),c),
inference(subsumption_resolution,[],[f8102,f24]) ).
fof(f8102,plain,
( equal_sets(a,c)
| member(member_of_1_not_of_2(c,a),c) ),
inference(resolution,[],[f8090,f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET012-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 30 15:52:12 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.40 % (25906)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40 % (25911)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.18/0.40 % (25909)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.18/0.40 % (25914)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.18/0.40 % (25908)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.18/0.40 % (25910)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.18/0.40 % (25915)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.18/0.41 % (25907)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [1,1,1]
% 0.18/0.41 TRYING [1,1,1]
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [2]
% 0.18/0.41 TRYING [2,1,1]
% 0.18/0.41 TRYING [2,1,1]
% 0.18/0.41 TRYING [2]
% 0.18/0.41 TRYING [3,1,1]
% 0.18/0.41 TRYING [3,1,1]
% 0.18/0.41 TRYING [3]
% 0.18/0.41 TRYING [3]
% 0.18/0.41 TRYING [4,1,1]
% 0.18/0.41 TRYING [4,1,1]
% 0.18/0.41 TRYING [4]
% 0.18/0.41 TRYING [4]
% 0.18/0.41 TRYING [3,2,1]
% 0.18/0.41 TRYING [3,2,1]
% 0.18/0.41 TRYING [5]
% 0.18/0.41 TRYING [4,2,1]
% 0.18/0.41 TRYING [4,2,1]
% 0.18/0.41 TRYING [5]
% 0.18/0.41 TRYING [3,3,1]
% 0.18/0.41 TRYING [3,3,1]
% 0.18/0.42 TRYING [4,3,1]
% 0.18/0.42 TRYING [4,3,1]
% 0.18/0.42 TRYING [6]
% 0.18/0.42 TRYING [5,1,1]
% 0.18/0.42 TRYING [5,1,1]
% 0.18/0.42 TRYING [5,2,1]
% 0.18/0.42 TRYING [5,2,1]
% 0.18/0.42 TRYING [6]
% 0.18/0.43 TRYING [5,3,1]
% 0.18/0.43 TRYING [5,3,1]
% 0.18/0.43 TRYING [7]
% 0.18/0.43 TRYING [4,4,1]
% 0.18/0.43 TRYING [4,4,1]
% 0.18/0.44 TRYING [5,4,1]
% 0.18/0.44 TRYING [5,4,1]
% 0.18/0.44 TRYING [7]
% 0.18/0.44 TRYING [6,1,1]
% 0.18/0.44 TRYING [6,1,1]
% 0.18/0.45 TRYING [8]
% 0.18/0.45 TRYING [6,2,1]
% 0.18/0.45 TRYING [6,2,1]
% 0.18/0.46 TRYING [6,3,1]
% 0.18/0.46 TRYING [6,3,1]
% 0.18/0.47 TRYING [6,4,1]
% 0.18/0.47 TRYING [6,4,1]
% 0.18/0.47 TRYING [8]
% 0.18/0.47 TRYING [9]
% 0.18/0.48 TRYING [5,5,1]
% 0.18/0.48 TRYING [5,5,1]
% 0.18/0.49 TRYING [7,1,1]
% 0.18/0.49 TRYING [7,1,1]
% 0.18/0.50 TRYING [6,5,1]
% 0.18/0.50 TRYING [6,5,1]
% 0.18/0.51 TRYING [7,2,1]
% 0.18/0.51 TRYING [7,2,1]
% 0.18/0.52 TRYING [7,3,1]
% 0.18/0.52 TRYING [10]
% 0.18/0.52 TRYING [9]
% 0.18/0.53 TRYING [7,4,1]
% 0.18/0.53 TRYING [7,3,1]
% 0.18/0.54 TRYING [8,1,1]
% 0.18/0.54 TRYING [7,4,1]
% 0.18/0.54 TRYING [7,5,1]
% 0.18/0.56 TRYING [6,6,1]
% 0.18/0.56 TRYING [8,1,1]
% 0.18/0.58 TRYING [7,5,1]
% 0.18/0.58 TRYING [8,2,1]
% 0.18/0.59 TRYING [10]
% 0.18/0.60 TRYING [7,6,1]
% 0.18/0.60 TRYING [6,6,1]
% 0.18/0.61 % (25911)First to succeed.
% 0.18/0.61 TRYING [11]
% 0.18/0.61 % (25911)Refutation found. Thanks to Tanya!
% 0.18/0.61 % SZS status Unsatisfiable for Vampire---4
% 0.18/0.61 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.62 % (25911)------------------------------
% 0.18/0.62 % (25911)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.62 % (25911)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.62 % (25911)Termination reason: Refutation
% 0.18/0.62
% 0.18/0.62 % (25911)Memory used [KB]: 4093
% 0.18/0.62 % (25911)Time elapsed: 0.209 s
% 0.18/0.62 % (25911)------------------------------
% 0.18/0.62 % (25911)------------------------------
% 0.18/0.62 % (25906)Success in time 0.274 s
% 0.18/0.62 % Vampire---4.8 exiting
%------------------------------------------------------------------------------