TSTP Solution File: SET012-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---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 : n023.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 15:34:03 EDT 2023
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 26 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 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 : 29 (; 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f879,plain,
$false,
inference(resolution,[],[f875,f855]) ).
fof(f855,plain,
subset(a,c),
inference(duplicate_literal_removal,[],[f848]) ).
fof(f848,plain,
( subset(a,c)
| subset(a,c) ),
inference(resolution,[],[f431,f3]) ).
fof(f3,axiom,
! [X2,X3] :
( subset(X2,X3)
| member(member_of_1_not_of_2(X2,X3),X2) ),
file('/export/starexec/sandbox/tmp/tmp.HKMjcBLC2l/Vampire---4.8_28278',subsets_axiom1) ).
fof(f431,plain,
! [X13] :
( ~ member(member_of_1_not_of_2(X13,c),a)
| subset(X13,c) ),
inference(resolution,[],[f414,f4]) ).
fof(f4,axiom,
! [X2,X3] :
( subset(X2,X3)
| ~ member(member_of_1_not_of_2(X2,X3),X3) ),
file('/export/starexec/sandbox/tmp/tmp.HKMjcBLC2l/Vampire---4.8_28278',subsets_axiom2) ).
fof(f414,plain,
! [X1] :
( member(X1,c)
| ~ member(X1,a) ),
inference(resolution,[],[f159,f57]) ).
fof(f57,plain,
! [X0] :
( ~ member(X0,complement(b))
| member(X0,c) ),
inference(resolution,[],[f39,f2]) ).
fof(f2,axiom,
! [X2,X3,X1] :
( ~ subset(X2,X3)
| ~ member(X1,X2)
| member(X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.HKMjcBLC2l/Vampire---4.8_28278',membership_in_subsets) ).
fof(f39,plain,
subset(complement(b),c),
inference(resolution,[],[f23,f13]) ).
fof(f13,axiom,
! [X2,X3] :
( ~ equal_sets(X2,X3)
| subset(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.HKMjcBLC2l/Vampire---4.8_28278',set_equal_sets_are_subsets1) ).
fof(f23,axiom,
equal_sets(complement(b),c),
file('/export/starexec/sandbox/tmp/tmp.HKMjcBLC2l/Vampire---4.8_28278',complement_of_b_is_c) ).
fof(f159,plain,
! [X11] :
( member(X11,complement(b))
| ~ member(X11,a) ),
inference(resolution,[],[f145,f5]) ).
fof(f5,axiom,
! [X0,X4] :
( member(X0,X4)
| member(X0,complement(X4)) ),
file('/export/starexec/sandbox/tmp/tmp.HKMjcBLC2l/Vampire---4.8_28278',member_of_set_or_complement) ).
fof(f145,plain,
! [X1] :
( ~ member(X1,b)
| ~ member(X1,a) ),
inference(resolution,[],[f49,f6]) ).
fof(f6,axiom,
! [X0,X4] :
( ~ member(X0,X4)
| ~ member(X0,complement(X4)) ),
file('/export/starexec/sandbox/tmp/tmp.HKMjcBLC2l/Vampire---4.8_28278',not_member_of_set_and_complement) ).
fof(f49,plain,
! [X0] :
( member(X0,complement(a))
| ~ member(X0,b) ),
inference(resolution,[],[f32,f2]) ).
fof(f32,plain,
subset(b,complement(a)),
inference(resolution,[],[f22,f14]) ).
fof(f14,axiom,
! [X2,X3] :
( ~ equal_sets(X3,X2)
| subset(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.HKMjcBLC2l/Vampire---4.8_28278',set_equal_sets_are_subsets2) ).
fof(f22,axiom,
equal_sets(complement(a),b),
file('/export/starexec/sandbox/tmp/tmp.HKMjcBLC2l/Vampire---4.8_28278',complement_of_a_is_b) ).
fof(f875,plain,
~ subset(a,c),
inference(resolution,[],[f862,f26]) ).
fof(f26,plain,
( ~ subset(c,a)
| ~ subset(a,c) ),
inference(resolution,[],[f24,f15]) ).
fof(f15,axiom,
! [X6,X7] :
( ~ subset(X6,X7)
| ~ subset(X7,X6)
| equal_sets(X7,X6) ),
file('/export/starexec/sandbox/tmp/tmp.HKMjcBLC2l/Vampire---4.8_28278',subsets_are_set_equal_sets) ).
fof(f24,axiom,
~ equal_sets(a,c),
file('/export/starexec/sandbox/tmp/tmp.HKMjcBLC2l/Vampire---4.8_28278',prove_a_equals_c) ).
fof(f862,plain,
subset(c,a),
inference(resolution,[],[f856,f4]) ).
fof(f856,plain,
member(member_of_1_not_of_2(c,a),a),
inference(resolution,[],[f855,f819]) ).
fof(f819,plain,
( ~ subset(a,c)
| member(member_of_1_not_of_2(c,a),a) ),
inference(resolution,[],[f720,f26]) ).
fof(f720,plain,
! [X0] :
( subset(c,X0)
| member(member_of_1_not_of_2(c,X0),a) ),
inference(resolution,[],[f210,f129]) ).
fof(f129,plain,
! [X0] :
( member(X0,b)
| member(X0,a) ),
inference(resolution,[],[f46,f5]) ).
fof(f46,plain,
! [X0] :
( ~ member(X0,complement(a))
| member(X0,b) ),
inference(resolution,[],[f31,f2]) ).
fof(f31,plain,
subset(complement(a),b),
inference(resolution,[],[f22,f13]) ).
fof(f210,plain,
! [X12] :
( ~ member(member_of_1_not_of_2(c,X12),b)
| subset(c,X12) ),
inference(resolution,[],[f195,f3]) ).
fof(f195,plain,
! [X1] :
( ~ member(X1,c)
| ~ member(X1,b) ),
inference(resolution,[],[f60,f6]) ).
fof(f60,plain,
! [X0] :
( member(X0,complement(b))
| ~ member(X0,c) ),
inference(resolution,[],[f40,f2]) ).
fof(f40,plain,
subset(c,complement(b)),
inference(resolution,[],[f23,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET012-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 15:59:26 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.HKMjcBLC2l/Vampire---4.8_28278
% 0.15/0.37 % (28528)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (28535)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.22/0.43 % (28534)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.22/0.43 % (28532)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.22/0.43 % (28531)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_1106 on Vampire---4 for (1106ds/0Mi)
% 0.22/0.43 % (28529)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.22/0.43 % (28530)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.22/0.43 % (28533)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.44 % (28535)First to succeed.
% 0.22/0.44 % (28535)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44 % (28535)------------------------------
% 0.22/0.44 % (28535)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (28535)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (28535)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (28535)Memory used [KB]: 1151
% 0.22/0.44 % (28535)Time elapsed: 0.014 s
% 0.22/0.44 % (28535)------------------------------
% 0.22/0.44 % (28535)------------------------------
% 0.22/0.44 % (28528)Success in time 0.073 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------