TSTP Solution File: SET012-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET012-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 May 21 03:14:19 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 10 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f544,plain,
$false,
inference(resolution,[],[f366,f22]) ).
fof(f22,axiom,
~ equal_sets(complement(complement(a)),a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_involution) ).
fof(f366,plain,
! [X0] : equal_sets(complement(complement(X0)),X0),
inference(resolution,[],[f228,f17]) ).
fof(f17,axiom,
! [X4,X5] :
( ~ equal_sets(X4,X5)
| equal_sets(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_for_set_equal) ).
fof(f228,plain,
! [X0] : equal_sets(X0,complement(complement(X0))),
inference(subsumption_resolution,[],[f226,f202]) ).
fof(f202,plain,
! [X0] : subset(complement(complement(X0)),X0),
inference(duplicate_literal_removal,[],[f189]) ).
fof(f189,plain,
! [X0] :
( subset(complement(complement(X0)),X0)
| subset(complement(complement(X0)),X0) ),
inference(resolution,[],[f45,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(f45,plain,
! [X0,X1] :
( member(member_of_1_not_of_2(complement(complement(X0)),X1),X0)
| subset(complement(complement(X0)),X1) ),
inference(resolution,[],[f29,f5]) ).
fof(f5,axiom,
! [X0,X4] :
( member(X0,complement(X4))
| member(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_set_or_complement) ).
fof(f29,plain,
! [X0,X1] :
( ~ member(member_of_1_not_of_2(complement(X0),X1),X0)
| subset(complement(X0),X1) ),
inference(resolution,[],[f3,f6]) ).
fof(f6,axiom,
! [X0,X4] :
( ~ member(X0,complement(X4))
| ~ member(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_member_of_set_and_complement) ).
fof(f3,axiom,
! [X2,X3] :
( member(member_of_1_not_of_2(X2,X3),X2)
| subset(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom1) ).
fof(f226,plain,
! [X0] :
( ~ subset(complement(complement(X0)),X0)
| equal_sets(X0,complement(complement(X0))) ),
inference(resolution,[],[f225,f15]) ).
fof(f15,axiom,
! [X6,X7] :
( ~ subset(X7,X6)
| ~ subset(X6,X7)
| equal_sets(X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_are_set_equal_sets) ).
fof(f225,plain,
! [X0] : subset(X0,complement(complement(X0))),
inference(duplicate_literal_removal,[],[f209]) ).
fof(f209,plain,
! [X0] :
( subset(X0,complement(complement(X0)))
| subset(X0,complement(complement(X0))) ),
inference(resolution,[],[f53,f3]) ).
fof(f53,plain,
! [X0,X1] :
( ~ member(member_of_1_not_of_2(X0,complement(complement(X1))),X1)
| subset(X0,complement(complement(X1))) ),
inference(resolution,[],[f31,f6]) ).
fof(f31,plain,
! [X0,X1] :
( member(member_of_1_not_of_2(X0,complement(X1)),X1)
| subset(X0,complement(X1)) ),
inference(resolution,[],[f4,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET012-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 12:46:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (31416)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (31420)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 TRYING [1,1,1]
% 0.14/0.37 TRYING [2,1,1]
% 0.14/0.37 % (31417)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (31419)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)
% 0.14/0.37 % (31421)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (31418)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (31422)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (31423)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)
% 0.14/0.37 TRYING [3,1,1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [4,1,1]
% 0.14/0.37 TRYING [1,1,1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [2,1,1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3,1,1]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 TRYING [3,2,1]
% 0.14/0.37 TRYING [4,1,1]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 TRYING [4,2,1]
% 0.14/0.37 TRYING [3,2,1]
% 0.14/0.37 TRYING [5]
% 0.14/0.37 TRYING [3,3,1]
% 0.14/0.37 TRYING [4,2,1]
% 0.14/0.37 % (31422)First to succeed.
% 0.14/0.37 TRYING [5]
% 0.14/0.37 % (31422)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31416"
% 0.14/0.37 TRYING [4,3,1]
% 0.14/0.38 % (31422)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (31422)------------------------------
% 0.14/0.38 % (31422)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (31422)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (31422)Memory used [KB]: 906
% 0.14/0.38 % (31422)Time elapsed: 0.010 s
% 0.14/0.38 % (31422)Instructions burned: 15 (million)
% 0.14/0.38 % (31416)Success in time 0.016 s
%------------------------------------------------------------------------------