TSTP Solution File: SET096-7 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET096-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : 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 : Wed May 1 03:45:00 EDT 2024
% Result : Unsatisfiable 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 17 unt; 0 def)
% Number of atoms : 35 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 15 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1151,plain,
$false,
inference(subsumption_resolution,[],[f1137,f179]) ).
fof(f179,plain,
sP0(x),
inference(inequality_splitting,[],[f174,f178]) ).
fof(f178,plain,
~ sP0(unordered_pair(y,y)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f174,plain,
x != unordered_pair(y,y),
inference(definition_unfolding,[],[f142,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/tmp/tmp.ykcN6bIIdF/Vampire---4.8_7773',singleton_set) ).
fof(f142,axiom,
x != singleton(y),
file('/export/starexec/sandbox/tmp/tmp.ykcN6bIIdF/Vampire---4.8_7773',prove_two_subsets_of_singleton_3) ).
fof(f1137,plain,
~ sP0(x),
inference(backward_demodulation,[],[f178,f1135]) ).
fof(f1135,plain,
x = unordered_pair(y,y),
inference(unit_resulting_resolution,[],[f173,f1069,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.ykcN6bIIdF/Vampire---4.8_7773',subclass_implies_equal) ).
fof(f1069,plain,
subclass(unordered_pair(y,y),x),
inference(backward_demodulation,[],[f390,f1055]) ).
fof(f1055,plain,
y = not_subclass_element(x,null_class),
inference(unit_resulting_resolution,[],[f572,f160]) ).
fof(f160,plain,
! [X0,X1] :
( ~ member(X1,unordered_pair(X0,X0))
| X0 = X1 ),
inference(definition_unfolding,[],[f125,f12]) ).
fof(f125,axiom,
! [X0,X1] :
( X0 = X1
| ~ member(X1,singleton(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.ykcN6bIIdF/Vampire---4.8_7773',only_member_in_singleton) ).
fof(f572,plain,
member(not_subclass_element(x,null_class),unordered_pair(y,y)),
inference(unit_resulting_resolution,[],[f197,f173,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.ykcN6bIIdF/Vampire---4.8_7773',subclass_members) ).
fof(f197,plain,
member(not_subclass_element(x,null_class),x),
inference(unit_resulting_resolution,[],[f182,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.ykcN6bIIdF/Vampire---4.8_7773',not_subclass_members1) ).
fof(f182,plain,
~ subclass(x,null_class),
inference(unit_resulting_resolution,[],[f141,f105]) ).
fof(f105,axiom,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
file('/export/starexec/sandbox/tmp/tmp.ykcN6bIIdF/Vampire---4.8_7773',corollary_of_null_class_is_subclass) ).
fof(f141,axiom,
null_class != x,
file('/export/starexec/sandbox/tmp/tmp.ykcN6bIIdF/Vampire---4.8_7773',prove_two_subsets_of_singleton_2) ).
fof(f390,plain,
subclass(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class)),x),
inference(unit_resulting_resolution,[],[f197,f172]) ).
fof(f172,plain,
! [X0,X1] :
( subclass(unordered_pair(X0,X0),X1)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f139,f12]) ).
fof(f139,axiom,
! [X0,X1] :
( subclass(singleton(X0),X1)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.ykcN6bIIdF/Vampire---4.8_7773',property_of_singletons2) ).
fof(f173,plain,
subclass(x,unordered_pair(y,y)),
inference(definition_unfolding,[],[f140,f12]) ).
fof(f140,axiom,
subclass(x,singleton(y)),
file('/export/starexec/sandbox/tmp/tmp.ykcN6bIIdF/Vampire---4.8_7773',prove_two_subsets_of_singleton_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET096-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.15/0.15 % 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
% 0.16/0.37 % Computer : n022.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Apr 30 17:11:28 EDT 2024
% 0.22/0.37 % CPUTime :
% 0.22/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.22/0.37 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.ykcN6bIIdF/Vampire---4.8_7773
% 0.60/0.76 % (8038)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 (2996ds/83Mi)
% 0.60/0.76 % (8039)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 (2996ds/56Mi)
% 0.60/0.76 % (8032)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 (2996ds/34Mi)
% 0.60/0.76 % (8033)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 (2996ds/51Mi)
% 0.60/0.76 % (8034)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (8035)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.76 % (8036)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 (2996ds/34Mi)
% 0.60/0.76 % (8037)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.60/0.78 % (8035)Instruction limit reached!
% 0.60/0.78 % (8035)------------------------------
% 0.60/0.78 % (8035)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (8035)Termination reason: Unknown
% 0.60/0.78 % (8035)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (8035)Memory used [KB]: 1399
% 0.60/0.78 % (8035)Time elapsed: 0.021 s
% 0.60/0.78 % (8035)Instructions burned: 34 (million)
% 0.60/0.78 % (8035)------------------------------
% 0.60/0.78 % (8035)------------------------------
% 0.60/0.78 % (8032)Instruction limit reached!
% 0.60/0.78 % (8032)------------------------------
% 0.60/0.78 % (8032)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (8032)Termination reason: Unknown
% 0.60/0.78 % (8032)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (8032)Memory used [KB]: 1357
% 0.60/0.78 % (8032)Time elapsed: 0.022 s
% 0.60/0.78 % (8032)Instructions burned: 34 (million)
% 0.60/0.78 % (8032)------------------------------
% 0.60/0.78 % (8032)------------------------------
% 0.60/0.78 % (8036)Instruction limit reached!
% 0.60/0.78 % (8036)------------------------------
% 0.60/0.78 % (8036)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (8036)Termination reason: Unknown
% 0.60/0.78 % (8036)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (8036)Memory used [KB]: 1472
% 0.60/0.78 % (8036)Time elapsed: 0.022 s
% 0.60/0.78 % (8036)Instructions burned: 34 (million)
% 0.60/0.78 % (8036)------------------------------
% 0.60/0.78 % (8036)------------------------------
% 0.60/0.78 % (8040)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)
% 0.60/0.78 % (8041)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.78 % (8042)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.78 % (8037)Instruction limit reached!
% 0.60/0.78 % (8037)------------------------------
% 0.60/0.78 % (8037)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (8037)Termination reason: Unknown
% 0.60/0.78 % (8037)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (8038)Instruction limit reached!
% 0.60/0.78 % (8038)------------------------------
% 0.60/0.78 % (8038)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (8038)Termination reason: Unknown
% 0.60/0.78 % (8038)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (8038)Memory used [KB]: 1721
% 0.60/0.78 % (8038)Time elapsed: 0.028 s
% 0.60/0.78 % (8038)Instructions burned: 83 (million)
% 0.60/0.78 % (8038)------------------------------
% 0.60/0.78 % (8038)------------------------------
% 0.60/0.78 % (8037)Memory used [KB]: 1477
% 0.60/0.78 % (8037)Time elapsed: 0.027 s
% 0.60/0.78 % (8037)Instructions burned: 46 (million)
% 0.60/0.78 % (8037)------------------------------
% 0.60/0.78 % (8037)------------------------------
% 0.60/0.79 % (8043)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.79 % (8044)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.79 % (8039)Instruction limit reached!
% 0.60/0.79 % (8039)------------------------------
% 0.60/0.79 % (8039)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (8039)Termination reason: Unknown
% 0.60/0.79 % (8039)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (8039)Memory used [KB]: 1259
% 0.60/0.79 % (8039)Time elapsed: 0.033 s
% 0.60/0.79 % (8039)Instructions burned: 57 (million)
% 0.60/0.79 % (8039)------------------------------
% 0.60/0.79 % (8039)------------------------------
% 0.60/0.79 % (8033)Instruction limit reached!
% 0.60/0.79 % (8033)------------------------------
% 0.60/0.79 % (8033)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (8033)Termination reason: Unknown
% 0.60/0.79 % (8033)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (8033)Memory used [KB]: 1622
% 0.60/0.79 % (8033)Time elapsed: 0.034 s
% 0.60/0.79 % (8033)Instructions burned: 51 (million)
% 0.60/0.79 % (8033)------------------------------
% 0.60/0.79 % (8033)------------------------------
% 0.60/0.79 % (8045)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.60/0.80 % (8045)Refutation not found, incomplete strategy% (8045)------------------------------
% 0.60/0.80 % (8045)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (8045)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (8045)Memory used [KB]: 1142
% 0.60/0.80 % (8045)Time elapsed: 0.005 s
% 0.60/0.80 % (8045)Instructions burned: 6 (million)
% 0.60/0.80 % (8045)------------------------------
% 0.60/0.80 % (8045)------------------------------
% 0.60/0.80 % (8046)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.60/0.80 % (8047)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.60/0.80 % (8040)First to succeed.
% 0.60/0.80 % (8043)Instruction limit reached!
% 0.60/0.80 % (8043)------------------------------
% 0.60/0.80 % (8043)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (8043)Termination reason: Unknown
% 0.60/0.80 % (8043)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (8043)Memory used [KB]: 1369
% 0.60/0.80 % (8043)Time elapsed: 0.019 s
% 0.60/0.80 % (8043)Instructions burned: 55 (million)
% 0.60/0.80 % (8043)------------------------------
% 0.60/0.80 % (8043)------------------------------
% 0.60/0.81 % (8034)Instruction limit reached!
% 0.60/0.81 % (8034)------------------------------
% 0.60/0.81 % (8034)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (8034)Termination reason: Unknown
% 0.60/0.81 % (8034)Termination phase: Saturation
% 0.60/0.81
% 0.60/0.81 % (8034)Memory used [KB]: 1491
% 0.60/0.81 % (8034)Time elapsed: 0.048 s
% 0.60/0.81 % (8034)Instructions burned: 79 (million)
% 0.60/0.81 % (8034)------------------------------
% 0.60/0.81 % (8034)------------------------------
% 0.60/0.81 % (8040)Refutation found. Thanks to Tanya!
% 0.60/0.81 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81 % (8040)------------------------------
% 0.60/0.81 % (8040)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (8040)Termination reason: Refutation
% 0.60/0.81
% 0.60/0.81 % (8040)Memory used [KB]: 1362
% 0.60/0.81 % (8040)Time elapsed: 0.025 s
% 0.60/0.81 % (8040)Instructions burned: 38 (million)
% 0.60/0.81 % (8040)------------------------------
% 0.60/0.81 % (8040)------------------------------
% 0.60/0.81 % (8028)Success in time 0.427 s
% 0.60/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------