TSTP Solution File: SET010-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET010-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Tue Apr 30 15:03:56 EDT 2024
% Result : Unsatisfiable 2.08s 0.66s
% Output : Refutation 2.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 49 ( 12 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 101 ( 43 ~; 58 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-3 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5513,plain,
$false,
inference(subsumption_resolution,[],[f5498,f2177]) ).
fof(f2177,plain,
member(g(cDa,cDb,cD_aIb),a),
inference(subsumption_resolution,[],[f2174,f32]) ).
fof(f32,plain,
! [X0] :
( ~ member(X0,aIb)
| member(X0,a) ),
inference(resolution,[],[f13,f25]) ).
fof(f25,axiom,
intersection(a,b,aIb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_b) ).
fof(f13,axiom,
! [X3,X0,X6,X4] :
( ~ intersection(X3,X4,X6)
| member(X0,X3)
| ~ member(X0,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set1) ).
fof(f2174,plain,
( member(g(cDa,cDb,cD_aIb),aIb)
| member(g(cDa,cDb,cD_aIb),a) ),
inference(resolution,[],[f158,f71]) ).
fof(f71,plain,
( member(g(cDa,cDb,cD_aIb),cDa)
| member(g(cDa,cDb,cD_aIb),a) ),
inference(resolution,[],[f68,f42]) ).
fof(f42,plain,
! [X0] :
( ~ member(X0,c)
| member(X0,cDa)
| member(X0,a) ),
inference(resolution,[],[f21,f26]) ).
fof(f26,axiom,
difference(c,a,cDa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_minus_a) ).
fof(f21,axiom,
! [X3,X0,X7,X4] :
( ~ difference(X3,X4,X7)
| member(X0,X4)
| member(X0,X7)
| ~ member(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_difference_or_set2) ).
fof(f68,plain,
member(g(cDa,cDb,cD_aIb),c),
inference(subsumption_resolution,[],[f67,f34]) ).
fof(f34,plain,
! [X0] :
( ~ member(X0,cDa)
| member(X0,c) ),
inference(resolution,[],[f19,f26]) ).
fof(f19,axiom,
! [X3,X0,X7,X4] :
( ~ difference(X3,X4,X7)
| member(X0,X3)
| ~ member(X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_difference) ).
fof(f67,plain,
( member(g(cDa,cDb,cD_aIb),cDa)
| member(g(cDa,cDb,cD_aIb),c) ),
inference(subsumption_resolution,[],[f63,f35]) ).
fof(f35,plain,
! [X0] :
( ~ member(X0,cDb)
| member(X0,c) ),
inference(resolution,[],[f19,f27]) ).
fof(f27,axiom,
difference(c,b,cDb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_minus_b) ).
fof(f63,plain,
( member(g(cDa,cDb,cD_aIb),cDb)
| member(g(cDa,cDb,cD_aIb),cDa)
| member(g(cDa,cDb,cD_aIb),c) ),
inference(resolution,[],[f56,f36]) ).
fof(f36,plain,
! [X0] :
( ~ member(X0,cD_aIb)
| member(X0,c) ),
inference(resolution,[],[f19,f28]) ).
fof(f28,axiom,
difference(c,aIb,cD_aIb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_minus_aIb) ).
fof(f56,plain,
( member(g(cDa,cDb,cD_aIb),cD_aIb)
| member(g(cDa,cDb,cD_aIb),cDb)
| member(g(cDa,cDb,cD_aIb),cDa) ),
inference(resolution,[],[f10,f29]) ).
fof(f29,axiom,
~ union(cDa,cDb,cD_aIb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cDa_union_cDb_is_cD_aIb) ).
fof(f10,axiom,
! [X3,X4,X5] :
( union(X3,X4,X5)
| member(g(X3,X4,X5),X5)
| member(g(X3,X4,X5),X4)
| member(g(X3,X4,X5),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_axiom1) ).
fof(f158,plain,
( ~ member(g(cDa,cDb,cD_aIb),cDa)
| member(g(cDa,cDb,cD_aIb),aIb) ),
inference(subsumption_resolution,[],[f151,f29]) ).
fof(f151,plain,
( member(g(cDa,cDb,cD_aIb),aIb)
| union(cDa,cDb,cD_aIb)
| ~ member(g(cDa,cDb,cD_aIb),cDa) ),
inference(resolution,[],[f69,f11]) ).
fof(f11,axiom,
! [X3,X4,X5] :
( ~ member(g(X3,X4,X5),X5)
| union(X3,X4,X5)
| ~ member(g(X3,X4,X5),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_axiom2) ).
fof(f69,plain,
( member(g(cDa,cDb,cD_aIb),cD_aIb)
| member(g(cDa,cDb,cD_aIb),aIb) ),
inference(resolution,[],[f68,f44]) ).
fof(f44,plain,
! [X0] :
( ~ member(X0,c)
| member(X0,cD_aIb)
| member(X0,aIb) ),
inference(resolution,[],[f21,f28]) ).
fof(f5498,plain,
~ member(g(cDa,cDb,cD_aIb),a),
inference(resolution,[],[f5494,f37]) ).
fof(f37,plain,
! [X0] :
( ~ member(X0,cDa)
| ~ member(X0,a) ),
inference(resolution,[],[f20,f26]) ).
fof(f20,axiom,
! [X3,X0,X8,X4] :
( ~ difference(X8,X3,X4)
| ~ member(X0,X4)
| ~ member(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_member_of_difference) ).
fof(f5494,plain,
member(g(cDa,cDb,cD_aIb),cDa),
inference(subsumption_resolution,[],[f5479,f2118]) ).
fof(f2118,plain,
member(g(cDa,cDb,cD_aIb),b),
inference(subsumption_resolution,[],[f2116,f33]) ).
fof(f33,plain,
! [X0] :
( ~ member(X0,aIb)
| member(X0,b) ),
inference(resolution,[],[f14,f25]) ).
fof(f14,axiom,
! [X3,X0,X6,X4] :
( ~ intersection(X3,X4,X6)
| member(X0,X4)
| ~ member(X0,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set2) ).
fof(f2116,plain,
( member(g(cDa,cDb,cD_aIb),aIb)
| member(g(cDa,cDb,cD_aIb),b) ),
inference(resolution,[],[f157,f70]) ).
fof(f70,plain,
( member(g(cDa,cDb,cD_aIb),cDb)
| member(g(cDa,cDb,cD_aIb),b) ),
inference(resolution,[],[f68,f43]) ).
fof(f43,plain,
! [X0] :
( ~ member(X0,c)
| member(X0,cDb)
| member(X0,b) ),
inference(resolution,[],[f21,f27]) ).
fof(f157,plain,
( ~ member(g(cDa,cDb,cD_aIb),cDb)
| member(g(cDa,cDb,cD_aIb),aIb) ),
inference(subsumption_resolution,[],[f150,f29]) ).
fof(f150,plain,
( member(g(cDa,cDb,cD_aIb),aIb)
| union(cDa,cDb,cD_aIb)
| ~ member(g(cDa,cDb,cD_aIb),cDb) ),
inference(resolution,[],[f69,f12]) ).
fof(f12,axiom,
! [X3,X4,X5] :
( ~ member(g(X3,X4,X5),X5)
| union(X3,X4,X5)
| ~ member(g(X3,X4,X5),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_axiom3) ).
fof(f5479,plain,
( member(g(cDa,cDb,cD_aIb),cDa)
| ~ member(g(cDa,cDb,cD_aIb),b) ),
inference(resolution,[],[f5475,f38]) ).
fof(f38,plain,
! [X0] :
( ~ member(X0,cDb)
| ~ member(X0,b) ),
inference(resolution,[],[f20,f27]) ).
fof(f5475,plain,
( member(g(cDa,cDb,cD_aIb),cDb)
| member(g(cDa,cDb,cD_aIb),cDa) ),
inference(subsumption_resolution,[],[f62,f2393]) ).
fof(f2393,plain,
member(g(cDa,cDb,cD_aIb),aIb),
inference(subsumption_resolution,[],[f2120,f2177]) ).
fof(f2120,plain,
( member(g(cDa,cDb,cD_aIb),aIb)
| ~ member(g(cDa,cDb,cD_aIb),a) ),
inference(resolution,[],[f2118,f41]) ).
fof(f41,plain,
! [X0] :
( ~ member(X0,b)
| member(X0,aIb)
| ~ member(X0,a) ),
inference(resolution,[],[f15,f25]) ).
fof(f15,axiom,
! [X3,X0,X6,X4] :
( ~ intersection(X3,X4,X6)
| ~ member(X0,X3)
| member(X0,X6)
| ~ member(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_both_is_member_of_intersection) ).
fof(f62,plain,
( member(g(cDa,cDb,cD_aIb),cDb)
| member(g(cDa,cDb,cD_aIb),cDa)
| ~ member(g(cDa,cDb,cD_aIb),aIb) ),
inference(resolution,[],[f56,f39]) ).
fof(f39,plain,
! [X0] :
( ~ member(X0,cD_aIb)
| ~ member(X0,aIb) ),
inference(resolution,[],[f20,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET010-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 01:52:17 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (27434)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (27438)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (27440)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (27437)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 theBenchmark for (476ds/0Mi)
% 0.13/0.37 % (27436)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (27435)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (27439)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (27441)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.13/0.37 Detected maximum model sizes of [max,7,max,max]
% 0.13/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.13/0.37 Detected maximum model sizes of [max,7,max,max]
% 0.13/0.37 TRYING [1,1,1,1]
% 0.13/0.37 TRYING [1,1,1,1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [2,1,1,1]
% 0.13/0.37 TRYING [2,1,1,1]
% 0.13/0.37 TRYING [3,1,1,1]
% 0.13/0.37 TRYING [3,1,1,1]
% 0.13/0.37 TRYING [2,2,1,1]
% 0.13/0.37 TRYING [2,2,1,1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [4,1,1,1]
% 0.13/0.37 TRYING [4,1,1,1]
% 0.13/0.37 TRYING [3,2,1,1]
% 0.13/0.37 TRYING [3,2,1,1]
% 0.13/0.38 TRYING [5,1,1,1]
% 0.13/0.38 TRYING [5,1,1,1]
% 0.13/0.38 TRYING [4,2,1,1]
% 0.13/0.38 TRYING [4,2,1,1]
% 0.13/0.38 TRYING [6,1,1,1]
% 0.13/0.38 TRYING [6,1,1,1]
% 0.13/0.38 TRYING [5,2,1,1]
% 0.13/0.38 TRYING [5,2,1,1]
% 0.13/0.39 TRYING [7,1,1,1]
% 0.13/0.39 TRYING [7,1,1,1]
% 0.13/0.39 TRYING [6,2,1,1]
% 0.13/0.39 TRYING [6,2,1,1]
% 0.13/0.39 TRYING [4]
% 0.13/0.39 TRYING [4]
% 0.13/0.40 TRYING [8,1,1,1]
% 0.13/0.40 TRYING [8,1,1,1]
% 0.13/0.40 TRYING [7,2,1,1]
% 0.13/0.40 TRYING [7,2,1,1]
% 0.20/0.41 TRYING [9,1,1,1]
% 0.20/0.41 TRYING [9,1,1,1]
% 0.20/0.41 TRYING [8,2,1,1]
% 0.20/0.41 TRYING [8,2,1,1]
% 0.20/0.42 TRYING [10,1,1,1]
% 0.20/0.42 TRYING [10,1,1,1]
% 0.20/0.42 TRYING [9,2,1,1]
% 0.20/0.42 TRYING [9,2,1,1]
% 0.20/0.44 TRYING [11,1,1,1]
% 0.20/0.44 TRYING [11,1,1,1]
% 0.20/0.44 TRYING [10,2,1,1]
% 0.20/0.44 TRYING [10,2,1,1]
% 0.20/0.46 TRYING [12,1,1,1]
% 0.20/0.46 TRYING [12,1,1,1]
% 0.20/0.46 TRYING [11,2,1,1]
% 0.20/0.47 TRYING [11,2,1,1]
% 0.20/0.48 TRYING [13,1,1,1]
% 0.20/0.48 TRYING [12,2,1,1]
% 0.20/0.48 TRYING [13,1,1,1]
% 0.20/0.49 TRYING [12,2,1,1]
% 0.20/0.50 TRYING [14,1,1,1]
% 0.20/0.50 TRYING [13,2,1,1]
% 0.20/0.50 TRYING [14,1,1,1]
% 0.20/0.50 TRYING [13,2,1,1]
% 0.20/0.51 TRYING [3,3,1,1]
% 0.20/0.52 TRYING [3,3,1,1]
% 0.20/0.53 TRYING [15,1,1,1]
% 0.20/0.53 TRYING [14,2,1,1]
% 0.20/0.54 TRYING [15,1,1,1]
% 0.20/0.54 TRYING [14,2,1,1]
% 0.20/0.55 TRYING [16,1,1,1]
% 0.20/0.55 TRYING [15,2,1,1]
% 0.20/0.56 TRYING [16,1,1,1]
% 0.20/0.56 TRYING [15,2,1,1]
% 0.20/0.57 TRYING [17,1,1,1]
% 0.20/0.57 TRYING [16,2,1,1]
% 0.20/0.58 TRYING [17,1,1,1]
% 0.20/0.58 TRYING [16,2,1,1]
% 0.20/0.59 TRYING [4,3,1,1]
% 1.80/0.60 TRYING [5]
% 1.80/0.60 TRYING [4,3,1,1]
% 1.94/0.62 TRYING [18,1,1,1]
% 1.94/0.63 TRYING [17,2,1,1]
% 1.94/0.63 TRYING [18,1,1,1]
% 2.08/0.64 TRYING [17,2,1,1]
% 2.08/0.64 TRYING [5]
% 2.08/0.64 TRYING [19,1,1,1]
% 2.08/0.65 TRYING [18,2,1,1]
% 2.08/0.65 TRYING [19,1,1,1]
% 2.08/0.66 TRYING [18,2,1,1]
% 2.08/0.66 % (27439)First to succeed.
% 2.08/0.66 % (27439)Refutation found. Thanks to Tanya!
% 2.08/0.66 % SZS status Unsatisfiable for theBenchmark
% 2.08/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.08/0.66 % (27439)------------------------------
% 2.08/0.66 % (27439)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.08/0.66 % (27439)Termination reason: Refutation
% 2.08/0.66
% 2.08/0.66 % (27439)Memory used [KB]: 2289
% 2.08/0.66 % (27439)Time elapsed: 0.289 s
% 2.08/0.66 % (27439)Instructions burned: 596 (million)
% 2.08/0.66 % (27439)------------------------------
% 2.08/0.66 % (27439)------------------------------
% 2.08/0.66 % (27434)Success in time 0.302 s
%------------------------------------------------------------------------------