TSTP Solution File: SET617+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET617+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n004.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 09:07:37 EDT 2024
% Result : Theorem 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 14 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 22 ~; 9 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33,plain,
$false,
inference(subsumption_resolution,[],[f32,f24]) ).
fof(f24,plain,
! [X0] : union(X0,empty_set) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : union(X0,empty_set) = X0,
file('/export/starexec/sandbox2/tmp/tmp.vmCUGADKEG/Vampire---4.8_31811',union_empty_set) ).
fof(f32,plain,
sK0 != union(sK0,empty_set),
inference(forward_demodulation,[],[f31,f22]) ).
fof(f22,plain,
! [X0] : difference(X0,empty_set) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : difference(X0,empty_set) = X0,
file('/export/starexec/sandbox2/tmp/tmp.vmCUGADKEG/Vampire---4.8_31811',no_difference_with_empty_set1) ).
fof(f31,plain,
sK0 != union(difference(sK0,empty_set),empty_set),
inference(forward_demodulation,[],[f30,f21]) ).
fof(f21,plain,
! [X0] : empty_set = difference(empty_set,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : empty_set = difference(empty_set,X0),
file('/export/starexec/sandbox2/tmp/tmp.vmCUGADKEG/Vampire---4.8_31811',no_difference_with_empty_set2) ).
fof(f30,plain,
sK0 != union(difference(sK0,empty_set),difference(empty_set,sK0)),
inference(subsumption_resolution,[],[f29,f24]) ).
fof(f29,plain,
( sK0 != union(sK0,empty_set)
| sK0 != union(difference(sK0,empty_set),difference(empty_set,sK0)) ),
inference(forward_demodulation,[],[f28,f21]) ).
fof(f28,plain,
( sK0 != union(sK0,difference(empty_set,sK0))
| sK0 != union(difference(sK0,empty_set),difference(empty_set,sK0)) ),
inference(forward_demodulation,[],[f27,f23]) ).
fof(f23,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.vmCUGADKEG/Vampire---4.8_31811',commutativity_of_union) ).
fof(f27,plain,
( sK0 != union(difference(empty_set,sK0),sK0)
| sK0 != union(difference(sK0,empty_set),difference(empty_set,sK0)) ),
inference(forward_demodulation,[],[f25,f22]) ).
fof(f25,plain,
( sK0 != union(difference(empty_set,sK0),difference(sK0,empty_set))
| sK0 != union(difference(sK0,empty_set),difference(empty_set,sK0)) ),
inference(definition_unfolding,[],[f18,f20,f20]) ).
fof(f20,plain,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
file('/export/starexec/sandbox2/tmp/tmp.vmCUGADKEG/Vampire---4.8_31811',symmetric_difference_defn) ).
fof(f18,plain,
( sK0 != symmetric_difference(empty_set,sK0)
| sK0 != symmetric_difference(sK0,empty_set) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( sK0 != symmetric_difference(empty_set,sK0)
| sK0 != symmetric_difference(sK0,empty_set) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
fof(f16,plain,
( ? [X0] :
( symmetric_difference(empty_set,X0) != X0
| symmetric_difference(X0,empty_set) != X0 )
=> ( sK0 != symmetric_difference(empty_set,sK0)
| sK0 != symmetric_difference(sK0,empty_set) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0] :
( symmetric_difference(empty_set,X0) != X0
| symmetric_difference(X0,empty_set) != X0 ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0] :
( symmetric_difference(empty_set,X0) = X0
& symmetric_difference(X0,empty_set) = X0 ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0] :
( symmetric_difference(empty_set,X0) = X0
& symmetric_difference(X0,empty_set) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.vmCUGADKEG/Vampire---4.8_31811',prove_th92) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET617+3 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.15 % 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
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 16:36:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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/tmp/tmp.vmCUGADKEG/Vampire---4.8_31811
% 0.60/0.80 % (32223)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.81 % (32223)Refutation not found, incomplete strategy% (32223)------------------------------
% 0.60/0.81 % (32223)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (32223)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (32223)Memory used [KB]: 955
% 0.60/0.81 % (32223)Time elapsed: 0.002 s
% 0.60/0.81 % (32223)Instructions burned: 2 (million)
% 0.60/0.81 % (32223)------------------------------
% 0.60/0.81 % (32223)------------------------------
% 0.60/0.81 % (32218)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81 % (32217)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 Vampire---4 for (2995ds/51Mi)
% 0.60/0.81 % (32219)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.81 % (32220)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 Vampire---4 for (2995ds/34Mi)
% 0.60/0.81 % (32216)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 Vampire---4 for (2995ds/34Mi)
% 0.60/0.81 % (32221)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.81 % (32222)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 Vampire---4 for (2995ds/83Mi)
% 0.60/0.81 % (32219)Refutation not found, incomplete strategy% (32219)------------------------------
% 0.60/0.81 % (32219)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (32219)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (32219)Memory used [KB]: 956
% 0.60/0.81 % (32219)Time elapsed: 0.003 s
% 0.60/0.81 % (32219)Instructions burned: 2 (million)
% 0.60/0.81 % (32221)First to succeed.
% 0.60/0.81 % (32219)------------------------------
% 0.60/0.81 % (32219)------------------------------
% 0.60/0.81 % (32216)Refutation not found, incomplete strategy% (32216)------------------------------
% 0.60/0.81 % (32216)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (32216)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81 % (32221)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32081"
% 0.60/0.81
% 0.60/0.81 % (32216)Memory used [KB]: 975
% 0.60/0.81 % (32216)Time elapsed: 0.003 s
% 0.60/0.81 % (32216)Instructions burned: 3 (million)
% 0.60/0.81 % (32222)Refutation not found, incomplete strategy% (32222)------------------------------
% 0.60/0.81 % (32222)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (32222)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81 % (32220)Refutation not found, incomplete strategy% (32220)------------------------------
% 0.60/0.81 % (32220)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81
% 0.60/0.81 % (32222)Memory used [KB]: 959
% 0.60/0.81 % (32220)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81 % (32222)Time elapsed: 0.003 s
% 0.60/0.81
% 0.60/0.81 % (32220)Memory used [KB]: 1052
% 0.60/0.81 % (32222)Instructions burned: 3 (million)
% 0.60/0.81 % (32220)Time elapsed: 0.003 s
% 0.60/0.81 % (32220)Instructions burned: 3 (million)
% 0.60/0.81 % (32217)Also succeeded, but the first one will report.
% 0.60/0.81 % (32216)------------------------------
% 0.60/0.81 % (32216)------------------------------
% 0.60/0.81 % (32218)Also succeeded, but the first one will report.
% 0.60/0.81 % (32222)------------------------------
% 0.60/0.81 % (32222)------------------------------
% 0.60/0.81 % (32220)------------------------------
% 0.60/0.81 % (32220)------------------------------
% 0.60/0.81 % (32224)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.81 % (32221)Refutation found. Thanks to Tanya!
% 0.60/0.81 % SZS status Theorem for Vampire---4
% 0.60/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81 % (32221)------------------------------
% 0.60/0.81 % (32221)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (32221)Termination reason: Refutation
% 0.60/0.81
% 0.60/0.81 % (32221)Memory used [KB]: 960
% 0.60/0.81 % (32221)Time elapsed: 0.003 s
% 0.60/0.81 % (32221)Instructions burned: 3 (million)
% 0.60/0.81 % (32081)Success in time 0.434 s
% 0.60/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------