TSTP Solution File: SET014-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET014-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 15:03:59 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 7 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f170,plain,
$false,
inference(subsumption_resolution,[],[f167,f24]) ).
fof(f24,axiom,
~ subset(union(as,bs),cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_union_b_subset_of_c) ).
fof(f167,plain,
subset(union(as,bs),cs),
inference(resolution,[],[f166,f4]) ).
fof(f4,axiom,
! [X2,X3] :
( ~ member(member_of_1_not_of_2(X2,X3),X3)
| subset(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom2) ).
fof(f166,plain,
member(member_of_1_not_of_2(union(as,bs),cs),cs),
inference(subsumption_resolution,[],[f163,f82]) ).
fof(f82,plain,
! [X0] :
( ~ member(X0,as)
| member(X0,cs) ),
inference(resolution,[],[f2,f22]) ).
fof(f22,axiom,
subset(as,cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_subset_of_c) ).
fof(f2,axiom,
! [X2,X3,X1] :
( ~ subset(X2,X3)
| ~ member(X1,X2)
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',membership_in_subsets) ).
fof(f163,plain,
( member(member_of_1_not_of_2(union(as,bs),cs),as)
| member(member_of_1_not_of_2(union(as,bs),cs),cs) ),
inference(resolution,[],[f132,f83]) ).
fof(f83,plain,
! [X0] :
( ~ member(X0,bs)
| member(X0,cs) ),
inference(resolution,[],[f2,f23]) ).
fof(f23,axiom,
subset(bs,cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_subset_of_c) ).
fof(f132,plain,
( member(member_of_1_not_of_2(union(as,bs),cs),bs)
| member(member_of_1_not_of_2(union(as,bs),cs),as) ),
inference(resolution,[],[f9,f30]) ).
fof(f30,plain,
member(member_of_1_not_of_2(union(as,bs),cs),union(as,bs)),
inference(resolution,[],[f3,f24]) ).
fof(f3,axiom,
! [X2,X3] :
( subset(X2,X3)
| member(member_of_1_not_of_2(X2,X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom1) ).
fof(f9,axiom,
! [X0,X4,X5] :
( ~ member(X0,union(X4,X5))
| member(X0,X4)
| member(X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_union_is_member_of_one_set) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET014-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 02:11:32 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (18602)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (18603)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [4]
% 0.15/0.37 TRYING [5]
% 0.15/0.38 TRYING [6]
% 0.15/0.38 % (18604)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (18607)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (18605)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)
% 0.15/0.38 % (18606)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (18608)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39 % (18609)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1,1,1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1,1,1]
% 0.15/0.39 TRYING [2,1,1]
% 0.15/0.39 TRYING [2,1,1]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3,1,1]
% 0.15/0.39 TRYING [3,1,1]
% 0.15/0.39 % (18607)First to succeed.
% 0.15/0.39 TRYING [4,1,1]
% 0.15/0.39 TRYING [4,1,1]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 % (18607)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (18607)------------------------------
% 0.15/0.39 % (18607)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (18607)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (18607)Memory used [KB]: 851
% 0.15/0.39 % (18607)Time elapsed: 0.008 s
% 0.15/0.39 % (18607)Instructions burned: 7 (million)
% 0.15/0.39 % (18607)------------------------------
% 0.15/0.39 % (18607)------------------------------
% 0.15/0.39 % (18602)Success in time 0.034 s
%------------------------------------------------------------------------------