TSTP Solution File: SET633+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET633+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n015.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 : Wed May 1 03:48:25 EDT 2024
% Result : Theorem 0.63s 0.82s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 43 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 41 ( 17 ~; 7 |; 13 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 22 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,plain,
$false,
inference(subsumption_resolution,[],[f61,f28]) ).
fof(f28,plain,
subset(difference(sK0,sK1),sK2),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ~ subset(symmetric_difference(sK0,sK1),sK2)
& subset(difference(sK1,sK0),sK2)
& subset(difference(sK0,sK1),sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f12,f16]) ).
fof(f16,plain,
( ? [X0,X1,X2] :
( ~ subset(symmetric_difference(X0,X1),X2)
& subset(difference(X1,X0),X2)
& subset(difference(X0,X1),X2) )
=> ( ~ subset(symmetric_difference(sK0,sK1),sK2)
& subset(difference(sK1,sK0),sK2)
& subset(difference(sK0,sK1),sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0,X1,X2] :
( ~ subset(symmetric_difference(X0,X1),X2)
& subset(difference(X1,X0),X2)
& subset(difference(X0,X1),X2) ),
inference(flattening,[],[f11]) ).
fof(f11,plain,
? [X0,X1,X2] :
( ~ subset(symmetric_difference(X0,X1),X2)
& subset(difference(X1,X0),X2)
& subset(difference(X0,X1),X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(difference(X1,X0),X2)
& subset(difference(X0,X1),X2) )
=> subset(symmetric_difference(X0,X1),X2) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0,X1,X2] :
( ( subset(difference(X1,X0),X2)
& subset(difference(X0,X1),X2) )
=> subset(symmetric_difference(X0,X1),X2) ),
file('/export/starexec/sandbox/tmp/tmp.DLaRJixiYc/Vampire---4.8_8228',prove_th115) ).
fof(f61,plain,
~ subset(difference(sK0,sK1),sK2),
inference(subsumption_resolution,[],[f58,f29]) ).
fof(f29,plain,
subset(difference(sK1,sK0),sK2),
inference(cnf_transformation,[],[f17]) ).
fof(f58,plain,
( ~ subset(difference(sK1,sK0),sK2)
| ~ subset(difference(sK0,sK1),sK2) ),
inference(resolution,[],[f46,f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( subset(union(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2] :
( subset(union(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2] :
( subset(union(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( subset(X2,X1)
& subset(X0,X1) )
=> subset(union(X0,X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.DLaRJixiYc/Vampire---4.8_8228',union_subset) ).
fof(f46,plain,
~ subset(union(difference(sK0,sK1),difference(sK1,sK0)),sK2),
inference(definition_unfolding,[],[f30,f32]) ).
fof(f32,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/sandbox/tmp/tmp.DLaRJixiYc/Vampire---4.8_8228',symmetric_difference_defn) ).
fof(f30,plain,
~ subset(symmetric_difference(sK0,sK1),sK2),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET633+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.33 % Computer : n015.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 17:34:03 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.DLaRJixiYc/Vampire---4.8_8228
% 0.63/0.81 % (8343)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)
% 0.63/0.81 % (8340)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)
% 0.63/0.81 % (8342)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.81 % (8341)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)
% 0.63/0.81 % (8344)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)
% 0.63/0.81 % (8345)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)
% 0.63/0.81 % (8346)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)
% 0.63/0.81 % (8347)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)
% 0.63/0.82 % (8344)Refutation not found, incomplete strategy% (8344)------------------------------
% 0.63/0.82 % (8344)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (8344)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82
% 0.63/0.82 % (8344)Memory used [KB]: 957
% 0.63/0.82 % (8344)Time elapsed: 0.003 s
% 0.63/0.82 % (8343)Refutation not found, incomplete strategy% (8343)------------------------------
% 0.63/0.82 % (8343)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (8343)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82
% 0.63/0.82 % (8343)Memory used [KB]: 967
% 0.63/0.82 % (8343)Time elapsed: 0.003 s
% 0.63/0.82 % (8343)Instructions burned: 2 (million)
% 0.63/0.82 % (8343)------------------------------
% 0.63/0.82 % (8343)------------------------------
% 0.63/0.82 % (8347)First to succeed.
% 0.63/0.82 % (8344)Instructions burned: 2 (million)
% 0.63/0.82 % (8344)------------------------------
% 0.63/0.82 % (8344)------------------------------
% 0.63/0.82 % (8340)Also succeeded, but the first one will report.
% 0.63/0.82 % (8347)Refutation found. Thanks to Tanya!
% 0.63/0.82 % SZS status Theorem for Vampire---4
% 0.63/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.82 % (8347)------------------------------
% 0.63/0.82 % (8347)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (8347)Termination reason: Refutation
% 0.63/0.82
% 0.63/0.82 % (8347)Memory used [KB]: 978
% 0.63/0.82 % (8347)Time elapsed: 0.003 s
% 0.63/0.82 % (8347)Instructions burned: 3 (million)
% 0.63/0.82 % (8347)------------------------------
% 0.63/0.82 % (8347)------------------------------
% 0.63/0.82 % (8337)Success in time 0.483 s
% 0.63/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------