TSTP Solution File: SET903+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET903+1 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 03:13:51 EDT 2024
% Result : Theorem 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 70 ( 69 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 81 ( 35 ~; 18 |; 27 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 28 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f81,plain,
$false,
inference(subsumption_resolution,[],[f80,f24]) ).
fof(f24,plain,
empty_set != sK1,
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( empty_set != sK2
& empty_set != sK1
& sK1 != sK2
& singleton(sK0) = set_union2(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f12,f16]) ).
fof(f16,plain,
( ? [X0,X1,X2] :
( empty_set != X2
& empty_set != X1
& X1 != X2
& singleton(X0) = set_union2(X1,X2) )
=> ( empty_set != sK2
& empty_set != sK1
& sK1 != sK2
& singleton(sK0) = set_union2(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0,X1,X2] :
( empty_set != X2
& empty_set != X1
& X1 != X2
& singleton(X0) = set_union2(X1,X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0,X1,X2] :
~ ( empty_set != X2
& empty_set != X1
& X1 != X2
& singleton(X0) = set_union2(X1,X2) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0,X1,X2] :
~ ( empty_set != X2
& empty_set != X1
& X1 != X2
& singleton(X0) = set_union2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_zfmisc_1) ).
fof(f80,plain,
empty_set = sK1,
inference(subsumption_resolution,[],[f79,f23]) ).
fof(f23,plain,
sK1 != sK2,
inference(cnf_transformation,[],[f17]) ).
fof(f79,plain,
( sK1 = sK2
| empty_set = sK1 ),
inference(trivial_inequality_removal,[],[f78]) ).
fof(f78,plain,
( sK2 != sK2
| sK1 = sK2
| empty_set = sK1 ),
inference(superposition,[],[f72,f57]) ).
fof(f57,plain,
sK2 = set_union2(sK1,sK2),
inference(subsumption_resolution,[],[f56,f25]) ).
fof(f25,plain,
empty_set != sK2,
inference(cnf_transformation,[],[f17]) ).
fof(f56,plain,
( sK2 = set_union2(sK1,sK2)
| empty_set = sK2 ),
inference(equality_resolution,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( set_union2(X0,X1) != set_union2(sK1,sK2)
| set_union2(sK1,sK2) = X1
| empty_set = X1 ),
inference(superposition,[],[f41,f22]) ).
fof(f22,plain,
singleton(sK0) = set_union2(sK1,sK2),
inference(cnf_transformation,[],[f17]) ).
fof(f41,plain,
! [X2,X0,X1] :
( singleton(X0) != set_union2(X1,X2)
| singleton(X0) = X2
| empty_set = X2 ),
inference(duplicate_literal_removal,[],[f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( empty_set = X2
| singleton(X0) = X2
| singleton(X0) = X2
| singleton(X0) != set_union2(X1,X2) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( empty_set = X2
& singleton(X0) = X1 )
| ( singleton(X0) = X2
& empty_set = X1 )
| ( singleton(X0) = X2
& singleton(X0) = X1 )
| singleton(X0) != set_union2(X1,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
~ ( ~ ( empty_set = X2
& singleton(X0) = X1 )
& ~ ( singleton(X0) = X2
& empty_set = X1 )
& ~ ( singleton(X0) = X2
& singleton(X0) = X1 )
& singleton(X0) = set_union2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_zfmisc_1) ).
fof(f72,plain,
! [X0,X1] :
( set_union2(X1,X0) != sK2
| sK2 = X1
| empty_set = X1 ),
inference(superposition,[],[f58,f27]) ).
fof(f27,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f58,plain,
! [X0,X1] :
( set_union2(X0,X1) != sK2
| sK2 = X1
| empty_set = X1 ),
inference(superposition,[],[f49,f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET903+1 : TPTP v8.2.0. Released v3.2.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n022.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 : Mon May 20 11:10:52 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.80 % (7829)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.60/0.81 % (7830)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.81 % (7831)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.60/0.81 % (7832)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.60/0.81 % (7825)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.60/0.81 % (7828)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.81 % (7827)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.81 % (7829)Refutation not found, incomplete strategy% (7829)------------------------------
% 0.60/0.81 % (7829)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (7826)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.60/0.81 % (7829)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (7829)Memory used [KB]: 976
% 0.60/0.81 % (7829)Time elapsed: 0.002 s
% 0.60/0.81 % (7829)Instructions burned: 3 (million)
% 0.60/0.81 % (7829)------------------------------
% 0.60/0.81 % (7829)------------------------------
% 0.60/0.81 % (7832)Refutation not found, incomplete strategy% (7832)------------------------------
% 0.60/0.81 % (7832)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (7832)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (7832)Memory used [KB]: 971
% 0.60/0.81 % (7832)Time elapsed: 0.003 s
% 0.60/0.81 % (7832)Instructions burned: 2 (million)
% 0.60/0.81 % (7832)------------------------------
% 0.60/0.81 % (7832)------------------------------
% 0.60/0.81 % (7831)Also succeeded, but the first one will report.
% 0.60/0.81 % (7830)First to succeed.
% 0.60/0.81 % (7828)Refutation not found, incomplete strategy% (7828)------------------------------
% 0.60/0.81 % (7828)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (7828)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (7828)Memory used [KB]: 979
% 0.60/0.81 % (7828)Time elapsed: 0.003 s
% 0.60/0.81 % (7828)Instructions burned: 3 (million)
% 0.60/0.81 % (7830)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7824"
% 0.60/0.81 % (7825)Refutation not found, incomplete strategy% (7825)------------------------------
% 0.60/0.81 % (7825)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (7825)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (7825)Memory used [KB]: 972
% 0.60/0.81 % (7825)Time elapsed: 0.003 s
% 0.60/0.81 % (7825)Instructions burned: 4 (million)
% 0.60/0.81 % (7828)------------------------------
% 0.60/0.81 % (7828)------------------------------
% 0.60/0.81 % (7825)------------------------------
% 0.60/0.81 % (7825)------------------------------
% 0.60/0.81 % (7830)Refutation found. Thanks to Tanya!
% 0.60/0.81 % SZS status Theorem for theBenchmark
% 0.60/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.81 % (7830)------------------------------
% 0.60/0.81 % (7830)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (7830)Termination reason: Refutation
% 0.60/0.81
% 0.60/0.81 % (7830)Memory used [KB]: 983
% 0.60/0.81 % (7830)Time elapsed: 0.004 s
% 0.60/0.81 % (7830)Instructions burned: 5 (million)
% 0.60/0.81 % (7824)Success in time 0.441 s
% 0.60/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------