TSTP Solution File: SET119-7 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET119-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 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 : n025.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 09:04:10 EDT 2024
% Result : Unsatisfiable 0.63s 0.78s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 32 ( 19 unt; 0 def)
% Number of atoms : 45 ( 21 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 12 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f623,plain,
$false,
inference(avatar_sat_refutation,[],[f466,f622]) ).
fof(f622,plain,
~ spl5_6,
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f621,plain,
( $false
| ~ spl5_6 ),
inference(subsumption_resolution,[],[f620,f267]) ).
fof(f267,plain,
! [X0,X1] : ~ member(sF3,cross_product(X0,X1)),
inference(forward_demodulation,[],[f266,f202]) ).
fof(f202,plain,
unordered_pair(sF0,sF2) = sF3,
introduced(function_definition,[new_symbols(definition,[sF3])]) ).
fof(f266,plain,
! [X0,X1] : ~ member(unordered_pair(sF0,sF2),cross_product(X0,X1)),
inference(forward_demodulation,[],[f265,f201]) ).
fof(f201,plain,
unordered_pair(x,sF1) = sF2,
introduced(function_definition,[new_symbols(definition,[sF2])]) ).
fof(f265,plain,
! [X0,X1] : ~ member(unordered_pair(sF0,unordered_pair(x,sF1)),cross_product(X0,X1)),
inference(superposition,[],[f262,f200]) ).
fof(f200,plain,
singleton(y) = sF1,
introduced(function_definition,[new_symbols(definition,[sF1])]) ).
fof(f262,plain,
! [X2,X0,X1] : ~ member(unordered_pair(sF0,unordered_pair(x,singleton(X0))),cross_product(X1,X2)),
inference(subsumption_resolution,[],[f258,f166]) ).
fof(f166,axiom,
~ member(x,universal_class),
file('/export/starexec/sandbox/tmp/tmp.jXwO0HPkTY/Vampire---4.8_27009',prove_corollary_1_to_OP_determines_components1_1) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(sF0,unordered_pair(x,singleton(X0))),cross_product(X1,X2))
| member(x,universal_class) ),
inference(superposition,[],[f173,f199]) ).
fof(f199,plain,
singleton(x) = sF0,
introduced(function_definition,[new_symbols(definition,[sF0])]) ).
fof(f173,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(singleton(X2),unordered_pair(X2,singleton(X3))),cross_product(X0,X1))
| member(X2,universal_class) ),
inference(definition_unfolding,[],[f94,f13]) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/tmp/tmp.jXwO0HPkTY/Vampire---4.8_27009',ordered_pair) ).
fof(f94,axiom,
! [X2,X3,X0,X1] :
( member(X2,universal_class)
| ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.jXwO0HPkTY/Vampire---4.8_27009',corollary_1_to_cartesian_product) ).
fof(f620,plain,
( member(sF3,cross_product(universal_class,universal_class))
| ~ spl5_6 ),
inference(forward_demodulation,[],[f619,f335]) ).
fof(f335,plain,
( sF3 = unordered_pair(singleton(sF4),unordered_pair(sF4,singleton(second(sF3))))
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f333,plain,
( spl5_6
<=> sF3 = unordered_pair(singleton(sF4),unordered_pair(sF4,singleton(second(sF3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f619,plain,
member(unordered_pair(singleton(sF4),unordered_pair(sF4,singleton(second(sF3)))),cross_product(universal_class,universal_class)),
inference(subsumption_resolution,[],[f611,f204]) ).
fof(f204,plain,
sF3 != sF4,
inference(definition_folding,[],[f168,f203,f202,f201,f200,f199,f202,f201,f200,f199]) ).
fof(f203,plain,
first(sF3) = sF4,
introduced(function_definition,[new_symbols(definition,[sF4])]) ).
fof(f168,plain,
unordered_pair(singleton(x),unordered_pair(x,singleton(y))) != first(unordered_pair(singleton(x),unordered_pair(x,singleton(y)))),
inference(definition_unfolding,[],[f167,f13,f13]) ).
fof(f167,axiom,
ordered_pair(x,y) != first(ordered_pair(x,y)),
file('/export/starexec/sandbox/tmp/tmp.jXwO0HPkTY/Vampire---4.8_27009',prove_corollary_1_to_OP_determines_components1_2) ).
fof(f611,plain,
( member(unordered_pair(singleton(sF4),unordered_pair(sF4,singleton(second(sF3)))),cross_product(universal_class,universal_class))
| sF3 = sF4 ),
inference(superposition,[],[f191,f203]) ).
fof(f191,plain,
! [X0] :
( member(unordered_pair(singleton(first(X0)),unordered_pair(first(X0),singleton(second(X0)))),cross_product(universal_class,universal_class))
| first(X0) = X0 ),
inference(definition_unfolding,[],[f160,f13]) ).
fof(f160,axiom,
! [X0] :
( first(X0) = X0
| member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class)) ),
file('/export/starexec/sandbox/tmp/tmp.jXwO0HPkTY/Vampire---4.8_27009',unique_1st_and_2nd_in_pair_of_non_sets1) ).
fof(f466,plain,
spl5_6,
inference(avatar_split_clause,[],[f357,f333]) ).
fof(f357,plain,
sF3 = unordered_pair(singleton(sF4),unordered_pair(sF4,singleton(second(sF3)))),
inference(subsumption_resolution,[],[f342,f204]) ).
fof(f342,plain,
( sF3 = unordered_pair(singleton(sF4),unordered_pair(sF4,singleton(second(sF3))))
| sF3 = sF4 ),
inference(superposition,[],[f189,f203]) ).
fof(f189,plain,
! [X0] :
( unordered_pair(singleton(first(X0)),unordered_pair(first(X0),singleton(second(X0)))) = X0
| first(X0) = X0 ),
inference(definition_unfolding,[],[f162,f13]) ).
fof(f162,axiom,
! [X0] :
( first(X0) = X0
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.jXwO0HPkTY/Vampire---4.8_27009',unique_1st_and_2nd_in_pair_of_non_sets3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET119-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 16:27:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36 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.jXwO0HPkTY/Vampire---4.8_27009
% 0.53/0.74 % (27420)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)
% 0.53/0.74 % (27413)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)
% 0.53/0.74 % (27414)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)
% 0.53/0.74 % (27415)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.74 % (27416)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)
% 0.53/0.74 % (27417)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)
% 0.53/0.74 % (27418)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)
% 0.53/0.74 % (27419)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)
% 0.53/0.74 % (27418)Refutation not found, incomplete strategy% (27418)------------------------------
% 0.53/0.74 % (27418)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (27418)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (27418)Memory used [KB]: 1115
% 0.53/0.74 % (27418)Time elapsed: 0.003 s
% 0.53/0.74 % (27418)Instructions burned: 2 (million)
% 0.53/0.74 % (27418)------------------------------
% 0.53/0.74 % (27418)------------------------------
% 0.59/0.75 % (27423)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 (2996ds/55Mi)
% 0.59/0.75 % (27420)Instruction limit reached!
% 0.59/0.75 % (27420)------------------------------
% 0.59/0.75 % (27420)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (27420)Termination reason: Unknown
% 0.59/0.75 % (27420)Termination phase: Saturation
% 0.59/0.75
% 0.59/0.75 % (27420)Memory used [KB]: 2211
% 0.59/0.75 % (27420)Time elapsed: 0.016 s
% 0.59/0.75 % (27420)Instructions burned: 58 (million)
% 0.59/0.75 % (27420)------------------------------
% 0.59/0.75 % (27420)------------------------------
% 0.59/0.76 % (27429)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 (2996ds/50Mi)
% 0.59/0.76 % (27416)Instruction limit reached!
% 0.59/0.76 % (27416)------------------------------
% 0.59/0.76 % (27416)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (27416)Termination reason: Unknown
% 0.59/0.76 % (27416)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (27416)Memory used [KB]: 1664
% 0.59/0.76 % (27416)Time elapsed: 0.019 s
% 0.59/0.76 % (27416)Instructions burned: 34 (million)
% 0.59/0.76 % (27416)------------------------------
% 0.59/0.76 % (27416)------------------------------
% 0.63/0.76 % (27413)Instruction limit reached!
% 0.63/0.76 % (27413)------------------------------
% 0.63/0.76 % (27413)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76 % (27413)Termination reason: Unknown
% 0.63/0.76 % (27413)Termination phase: Saturation
% 0.63/0.76
% 0.63/0.76 % (27413)Memory used [KB]: 1349
% 0.63/0.76 % (27413)Time elapsed: 0.022 s
% 0.63/0.76 % (27413)Instructions burned: 34 (million)
% 0.63/0.76 % (27413)------------------------------
% 0.63/0.76 % (27413)------------------------------
% 0.63/0.76 % (27417)Instruction limit reached!
% 0.63/0.76 % (27417)------------------------------
% 0.63/0.76 % (27417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76 % (27417)Termination reason: Unknown
% 0.63/0.76 % (27417)Termination phase: Saturation
% 0.63/0.76
% 0.63/0.76 % (27417)Memory used [KB]: 1527
% 0.63/0.76 % (27417)Time elapsed: 0.022 s
% 0.63/0.76 % (27417)Instructions burned: 34 (million)
% 0.63/0.76 % (27417)------------------------------
% 0.63/0.76 % (27417)------------------------------
% 0.63/0.76 % (27432)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 (2996ds/208Mi)
% 0.63/0.76 % (27414)Instruction limit reached!
% 0.63/0.76 % (27414)------------------------------
% 0.63/0.76 % (27414)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76 % (27414)Termination reason: Unknown
% 0.63/0.76 % (27414)Termination phase: Saturation
% 0.63/0.76
% 0.63/0.76 % (27414)Memory used [KB]: 1392
% 0.63/0.76 % (27414)Time elapsed: 0.026 s
% 0.63/0.76 % (27414)Instructions burned: 52 (million)
% 0.63/0.76 % (27414)------------------------------
% 0.63/0.76 % (27414)------------------------------
% 0.63/0.77 % (27436)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 (2996ds/52Mi)
% 0.63/0.77 % (27438)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 (2996ds/518Mi)
% 0.63/0.77 % (27438)Refutation not found, incomplete strategy% (27438)------------------------------
% 0.63/0.77 % (27438)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.77 % (27438)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77
% 0.63/0.77 % (27438)Memory used [KB]: 1140
% 0.63/0.77 % (27438)Time elapsed: 0.004 s
% 0.63/0.77 % (27438)Instructions burned: 5 (million)
% 0.63/0.77 % (27438)------------------------------
% 0.63/0.77 % (27438)------------------------------
% 0.63/0.77 % (27443)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 (2996ds/42Mi)
% 0.63/0.77 % (27429)Instruction limit reached!
% 0.63/0.77 % (27429)------------------------------
% 0.63/0.77 % (27429)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.77 % (27429)Termination reason: Unknown
% 0.63/0.77 % (27429)Termination phase: Saturation
% 0.63/0.77
% 0.63/0.77 % (27429)Memory used [KB]: 1567
% 0.63/0.77 % (27429)Time elapsed: 0.016 s
% 0.63/0.77 % (27429)Instructions burned: 50 (million)
% 0.63/0.77 % (27429)------------------------------
% 0.63/0.77 % (27429)------------------------------
% 0.63/0.77 % (27445)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 (2996ds/243Mi)
% 0.63/0.77 % (27432)First to succeed.
% 0.63/0.77 % (27447)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 (2996ds/117Mi)
% 0.63/0.77 % (27432)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27257"
% 0.63/0.78 % (27432)Refutation found. Thanks to Tanya!
% 0.63/0.78 % SZS status Unsatisfiable for Vampire---4
% 0.63/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.78 % (27432)------------------------------
% 0.63/0.78 % (27432)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78 % (27432)Termination reason: Refutation
% 0.63/0.78
% 0.63/0.78 % (27432)Memory used [KB]: 1238
% 0.63/0.78 % (27432)Time elapsed: 0.014 s
% 0.63/0.78 % (27432)Instructions burned: 20 (million)
% 0.63/0.78 % (27257)Success in time 0.399 s
% 0.63/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------