TSTP Solution File: SET013-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET013-1 : 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 : n026.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 03:14:20 EDT 2024
% Result : Unsatisfiable 0.19s 0.40s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 30 ( 13 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2309,plain,
$false,
inference(resolution,[],[f2157,f22]) ).
fof(f22,axiom,
~ equal_sets(intersection(as,bs),intersection(bs,as)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).
fof(f2157,plain,
! [X0,X1] : equal_sets(intersection(X1,X0),intersection(X0,X1)),
inference(subsumption_resolution,[],[f2155,f824]) ).
fof(f824,plain,
! [X0,X1] : subset(intersection(X0,X1),intersection(X1,X0)),
inference(duplicate_literal_removal,[],[f809]) ).
fof(f809,plain,
! [X0,X1] :
( subset(intersection(X0,X1),intersection(X1,X0))
| subset(intersection(X0,X1),intersection(X1,X0)) ),
inference(resolution,[],[f149,f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( member(member_of_1_not_of_2(intersection(X0,X1),X2),X1)
| subset(intersection(X0,X1),X2) ),
inference(resolution,[],[f12,f3]) ).
fof(f3,axiom,
! [X2,X3] :
( member(member_of_1_not_of_2(X2,X3),X2)
| subset(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_axiom1) ).
fof(f12,axiom,
! [X0,X4,X5] :
( ~ member(X0,intersection(X4,X5))
| member(X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set2) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ member(member_of_1_not_of_2(intersection(X0,X1),intersection(X2,X0)),X2)
| subset(intersection(X0,X1),intersection(X2,X0)) ),
inference(duplicate_literal_removal,[],[f138]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ member(member_of_1_not_of_2(intersection(X0,X1),intersection(X2,X0)),X2)
| subset(intersection(X0,X1),intersection(X2,X0))
| subset(intersection(X0,X1),intersection(X2,X0)) ),
inference(resolution,[],[f53,f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( member(member_of_1_not_of_2(intersection(X0,X1),X2),X0)
| subset(intersection(X0,X1),X2) ),
inference(resolution,[],[f11,f3]) ).
fof(f11,axiom,
! [X0,X4,X5] :
( ~ member(X0,intersection(X4,X5))
| member(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set1) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ member(member_of_1_not_of_2(X0,intersection(X1,X2)),X2)
| ~ member(member_of_1_not_of_2(X0,intersection(X1,X2)),X1)
| subset(X0,intersection(X1,X2)) ),
inference(resolution,[],[f10,f4]) ).
fof(f4,axiom,
! [X2,X3] :
( ~ member(member_of_1_not_of_2(X2,X3),X3)
| subset(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_axiom2) ).
fof(f10,axiom,
! [X0,X4,X5] :
( member(X0,intersection(X4,X5))
| ~ member(X0,X5)
| ~ member(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_both_is_member_of_intersection) ).
fof(f2155,plain,
! [X0,X1] :
( ~ subset(intersection(X0,X1),intersection(X1,X0))
| equal_sets(intersection(X1,X0),intersection(X0,X1)) ),
inference(resolution,[],[f824,f15]) ).
fof(f15,axiom,
! [X6,X7] :
( ~ subset(X7,X6)
| ~ subset(X6,X7)
| equal_sets(X7,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_are_set_equal_sets) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET013-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n026.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 : Mon May 20 12:08:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (21906)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (21914)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)
% 0.13/0.36 % (21907)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36 % (21908)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (21911)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 % (21913)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 % (21912)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 % (21909)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)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1,1,1]
% 0.13/0.37 TRYING [1,1,1]
% 0.13/0.37 TRYING [2,1,1]
% 0.13/0.37 TRYING [2,1,1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3,1,1]
% 0.13/0.37 TRYING [3,1,1]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [4,1,1]
% 0.13/0.37 TRYING [4,1,1]
% 0.13/0.37 TRYING [3,2,1]
% 0.13/0.37 TRYING [3,2,1]
% 0.13/0.37 TRYING [5]
% 0.13/0.37 TRYING [5]
% 0.13/0.37 TRYING [4,2,1]
% 0.13/0.37 TRYING [4,2,1]
% 0.13/0.38 TRYING [3,3,1]
% 0.13/0.38 TRYING [3,3,1]
% 0.13/0.38 TRYING [4,3,1]
% 0.13/0.38 TRYING [4,3,1]
% 0.13/0.38 TRYING [5,1,1]
% 0.13/0.38 TRYING [5,1,1]
% 0.13/0.39 TRYING [6]
% 0.13/0.39 TRYING [5,2,1]
% 0.13/0.39 TRYING [5,2,1]
% 0.13/0.39 TRYING [6]
% 0.19/0.40 TRYING [5,3,1]
% 0.19/0.40 TRYING [5,3,1]
% 0.19/0.40 % (21913)First to succeed.
% 0.19/0.40 % (21913)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21906"
% 0.19/0.40 % (21913)Refutation found. Thanks to Tanya!
% 0.19/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.40 % (21913)------------------------------
% 0.19/0.40 % (21913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.40 % (21913)Termination reason: Refutation
% 0.19/0.40
% 0.19/0.40 % (21913)Memory used [KB]: 1485
% 0.19/0.40 % (21913)Time elapsed: 0.039 s
% 0.19/0.40 % (21913)Instructions burned: 73 (million)
% 0.19/0.40 % (21906)Success in time 0.056 s
%------------------------------------------------------------------------------