TSTP Solution File: SET003-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET003-1 : 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 : n002.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 : Sun May 5 09:09:21 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,plain,
$false,
inference(subsumption_resolution,[],[f20,f14]) ).
fof(f14,axiom,
~ subset(a,aUa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_is_a_subset_of_aUa) ).
fof(f20,plain,
subset(a,aUa),
inference(resolution,[],[f19,f3]) ).
fof(f3,axiom,
! [X2,X1] :
( ~ member(member_of_1_not_of_2(X1,X2),X2)
| subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom2) ).
fof(f19,plain,
member(member_of_1_not_of_2(a,aUa),aUa),
inference(resolution,[],[f18,f15]) ).
fof(f15,plain,
member(member_of_1_not_of_2(a,aUa),a),
inference(resolution,[],[f2,f14]) ).
fof(f2,axiom,
! [X2,X1] :
( subset(X1,X2)
| member(member_of_1_not_of_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom1) ).
fof(f18,plain,
! [X0] :
( ~ member(X0,a)
| member(X0,aUa) ),
inference(resolution,[],[f8,f13]) ).
fof(f13,axiom,
union(a,a,aUa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_union_a_is_aUa) ).
fof(f8,axiom,
! [X3,X0,X4,X5] :
( ~ union(X3,X4,X5)
| member(X0,X5)
| ~ member(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_set1_is_member_of_union) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 16:34:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (10538)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (10545)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 % (10540)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (10543)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 % (10544)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (10541)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 Detected minimum model sizes of [1,1,1,1]
% 0.13/0.37 Detected maximum model sizes of [max,2,max,max]
% 0.13/0.37 TRYING [1,1,1,1]
% 0.13/0.37 % (10543)First to succeed.
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [2,1,1,1]
% 0.13/0.37 % (10543)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10538"
% 0.13/0.37 TRYING [2,2,1,1]
% 0.13/0.37 % (10542)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 % (10544)Also succeeded, but the first one will report.
% 0.13/0.37 TRYING [3,2,1,1]
% 0.13/0.37 % (10541)Also succeeded, but the first one will report.
% 0.13/0.37 TRYING [4]
% 0.13/0.37 % (10543)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (10543)------------------------------
% 0.13/0.37 % (10543)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (10543)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (10543)Memory used [KB]: 778
% 0.13/0.37 % (10543)Time elapsed: 0.002 s
% 0.13/0.37 % (10543)Instructions burned: 2 (million)
% 0.13/0.37 % (10538)Success in time 0.016 s
%------------------------------------------------------------------------------