TSTP Solution File: SET020-7 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET020-7 : TPTP v8.2.0. 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 : n029.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 03:07:51 EDT 2024
% Result : Unsatisfiable 0.71s 0.78s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 16 unt; 0 def)
% Number of atoms : 43 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 19 ~; 14 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f400,plain,
$false,
inference(avatar_sat_refutation,[],[f297,f399]) ).
fof(f399,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f398,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f392,f169]) ).
fof(f169,plain,
~ sP0(first(sF1)),
inference(backward_demodulation,[],[f168,f167]) ).
fof(f167,plain,
first(sF1) = sF3,
introduced(function_definition,[new_symbols(definition,[sF3])]) ).
fof(f168,plain,
~ sP0(sF3),
inference(definition_folding,[],[f160,f167,f164]) ).
fof(f164,plain,
ordered_pair(u,v) = sF1,
introduced(function_definition,[new_symbols(definition,[sF1])]) ).
fof(f160,plain,
~ sP0(first(ordered_pair(u,v))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f392,plain,
( sP0(first(sF1))
| ~ spl4_1 ),
inference(backward_demodulation,[],[f161,f343]) ).
fof(f343,plain,
( u = first(sF1)
| ~ spl4_1 ),
inference(trivial_inequality_removal,[],[f342]) ).
fof(f342,plain,
( sF1 != sF1
| u = first(sF1)
| ~ spl4_1 ),
inference(superposition,[],[f327,f285]) ).
fof(f285,plain,
( sF1 = ordered_pair(first(sF1),second(sF1))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl4_1
<=> sF1 = ordered_pair(first(sF1),second(sF1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f327,plain,
! [X0,X1] :
( ordered_pair(X0,X1) != sF1
| u = X0 ),
inference(subsumption_resolution,[],[f324,f234]) ).
fof(f234,plain,
member(u,universal_class),
inference(resolution,[],[f231,f171]) ).
fof(f171,plain,
member(sF1,cross_product(universal_class,universal_class)),
inference(backward_demodulation,[],[f166,f165]) ).
fof(f165,plain,
cross_product(universal_class,universal_class) = sF2,
introduced(function_definition,[new_symbols(definition,[sF2])]) ).
fof(f166,plain,
member(sF1,sF2),
inference(definition_folding,[],[f158,f165,f164]) ).
fof(f158,axiom,
member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_sets1_1) ).
fof(f231,plain,
! [X0,X1] :
( ~ member(sF1,cross_product(X0,X1))
| member(u,X0) ),
inference(superposition,[],[f14,f164]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f324,plain,
! [X0,X1] :
( ordered_pair(X0,X1) != sF1
| ~ member(u,universal_class)
| u = X0 ),
inference(superposition,[],[f151,f164]) ).
fof(f151,axiom,
! [X0,X1,X6,X4] :
( ordered_pair(X1,X4) != ordered_pair(X6,X0)
| ~ member(X6,universal_class)
| X1 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_determines_components1) ).
fof(f161,plain,
sP0(u),
inference(inequality_splitting,[],[f159,f160]) ).
fof(f159,axiom,
u != first(ordered_pair(u,v)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_sets1_2) ).
fof(f297,plain,
spl4_1,
inference(avatar_split_clause,[],[f292,f283]) ).
fof(f292,plain,
sF1 = ordered_pair(first(sF1),second(sF1)),
inference(resolution,[],[f17,f171]) ).
fof(f17,axiom,
! [X0,X1,X4] :
( ~ member(X4,cross_product(X0,X1))
| ordered_pair(first(X4),second(X4)) = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET020-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.14/0.13 % 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
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 11:38:52 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.35 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/benchmark/theBenchmark.p
% 0.57/0.72 % (22299)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 (2996ds/56Mi)
% 0.57/0.73 % (22292)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 (2996ds/34Mi)
% 0.57/0.73 % (22294)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.73 % (22293)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 (2996ds/51Mi)
% 0.57/0.73 % (22297)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.57/0.73 % (22298)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 (2996ds/83Mi)
% 0.57/0.73 % (22297)Refutation not found, incomplete strategy% (22297)------------------------------
% 0.57/0.73 % (22297)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (22297)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73
% 0.57/0.73 % (22297)Memory used [KB]: 1089
% 0.57/0.73 % (22297)Time elapsed: 0.003 s
% 0.57/0.73 % (22297)Instructions burned: 3 (million)
% 0.57/0.73 % (22296)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 (2996ds/34Mi)
% 0.57/0.73 % (22297)------------------------------
% 0.57/0.73 % (22297)------------------------------
% 0.57/0.74 % (22300)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 theBenchmark for (2996ds/55Mi)
% 0.57/0.74 % (22295)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.74 % (22299)Instruction limit reached!
% 0.57/0.74 % (22299)------------------------------
% 0.57/0.74 % (22299)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (22299)Termination reason: Unknown
% 0.57/0.74 % (22299)Termination phase: Saturation
% 0.57/0.74
% 0.57/0.74 % (22299)Memory used [KB]: 2252
% 0.57/0.74 % (22299)Time elapsed: 0.020 s
% 0.57/0.74 % (22299)Instructions burned: 59 (million)
% 0.57/0.74 % (22299)------------------------------
% 0.57/0.74 % (22299)------------------------------
% 0.57/0.75 % (22301)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 theBenchmark for (2996ds/50Mi)
% 0.57/0.75 % (22292)Instruction limit reached!
% 0.57/0.75 % (22292)------------------------------
% 0.57/0.75 % (22292)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (22292)Termination reason: Unknown
% 0.57/0.75 % (22292)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (22292)Memory used [KB]: 1416
% 0.57/0.75 % (22292)Time elapsed: 0.022 s
% 0.57/0.75 % (22292)Instructions burned: 34 (million)
% 0.57/0.75 % (22292)------------------------------
% 0.57/0.75 % (22292)------------------------------
% 0.57/0.75 % (22296)Instruction limit reached!
% 0.57/0.75 % (22296)------------------------------
% 0.57/0.75 % (22296)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (22296)Termination reason: Unknown
% 0.57/0.75 % (22296)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (22296)Memory used [KB]: 1519
% 0.57/0.75 % (22296)Time elapsed: 0.020 s
% 0.57/0.75 % (22296)Instructions burned: 34 (million)
% 0.57/0.75 % (22296)------------------------------
% 0.57/0.75 % (22296)------------------------------
% 0.57/0.75 % (22302)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.57/0.76 % (22295)Instruction limit reached!
% 0.57/0.76 % (22295)------------------------------
% 0.57/0.76 % (22295)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (22295)Termination reason: Unknown
% 0.57/0.76 % (22295)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.76 % (22295)Memory used [KB]: 1686
% 0.57/0.76 % (22295)Time elapsed: 0.020 s
% 0.57/0.76 % (22295)Instructions burned: 33 (million)
% 0.57/0.76 % (22295)------------------------------
% 0.57/0.76 % (22295)------------------------------
% 0.57/0.76 % (22304)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 theBenchmark for (2995ds/518Mi)
% 0.57/0.76 % (22301)Instruction limit reached!
% 0.57/0.76 % (22301)------------------------------
% 0.57/0.76 % (22301)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (22301)Termination reason: Unknown
% 0.57/0.76 % (22301)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.76 % (22301)Memory used [KB]: 1655
% 0.57/0.76 % (22301)Time elapsed: 0.017 s
% 0.57/0.76 % (22301)Instructions burned: 50 (million)
% 0.57/0.76 % (22301)------------------------------
% 0.57/0.76 % (22301)------------------------------
% 0.57/0.76 % (22293)Instruction limit reached!
% 0.57/0.76 % (22293)------------------------------
% 0.57/0.76 % (22293)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (22293)Termination reason: Unknown
% 0.57/0.76 % (22293)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.76 % (22293)Memory used [KB]: 1644
% 0.57/0.76 % (22293)Time elapsed: 0.035 s
% 0.57/0.76 % (22293)Instructions burned: 52 (million)
% 0.57/0.76 % (22293)------------------------------
% 0.57/0.76 % (22293)------------------------------
% 0.57/0.76 % (22300)Instruction limit reached!
% 0.57/0.76 % (22300)------------------------------
% 0.57/0.76 % (22300)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (22304)Refutation not found, incomplete strategy% (22304)------------------------------
% 0.57/0.76 % (22304)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (22304)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (22304)Memory used [KB]: 1161
% 0.57/0.76 % (22304)Time elapsed: 0.004 s
% 0.57/0.76 % (22304)Instructions burned: 5 (million)
% 0.57/0.76 % (22300)Termination reason: Unknown
% 0.57/0.76 % (22300)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.76 % (22300)Memory used [KB]: 1712
% 0.57/0.76 % (22300)Time elapsed: 0.030 s
% 0.57/0.76 % (22300)Instructions burned: 55 (million)
% 0.57/0.76 % (22300)------------------------------
% 0.57/0.76 % (22300)------------------------------
% 0.71/0.76 % (22304)------------------------------
% 0.71/0.76 % (22304)------------------------------
% 0.71/0.76 % (22305)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 theBenchmark for (2995ds/42Mi)
% 0.71/0.77 % (22305)Refutation not found, incomplete strategy% (22305)------------------------------
% 0.71/0.77 % (22305)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.77 % (22305)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.77
% 0.71/0.77 % (22305)Memory used [KB]: 1154
% 0.71/0.77 % (22305)Time elapsed: 0.003 s
% 0.71/0.77 % (22305)Instructions burned: 7 (million)
% 0.71/0.77 % (22306)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 theBenchmark for (2995ds/243Mi)
% 0.71/0.77 % (22305)------------------------------
% 0.71/0.77 % (22305)------------------------------
% 0.71/0.77 % (22308)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.71/0.77 % (22298)Instruction limit reached!
% 0.71/0.77 % (22298)------------------------------
% 0.71/0.77 % (22298)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.77 % (22298)Termination reason: Unknown
% 0.71/0.77 % (22298)Termination phase: Saturation
% 0.71/0.77
% 0.71/0.77 % (22298)Memory used [KB]: 1742
% 0.71/0.77 % (22298)Time elapsed: 0.039 s
% 0.71/0.77 % (22298)Instructions burned: 83 (million)
% 0.71/0.77 % (22298)------------------------------
% 0.71/0.77 % (22298)------------------------------
% 0.71/0.77 % (22307)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.71/0.77 % (22303)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 theBenchmark for (2995ds/52Mi)
% 0.71/0.77 % (22309)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.71/0.78 % (22306)First to succeed.
% 0.71/0.78 % (22306)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22291"
% 0.71/0.78 % (22306)Refutation found. Thanks to Tanya!
% 0.71/0.78 % SZS status Unsatisfiable for theBenchmark
% 0.71/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 0.71/0.78 % (22306)------------------------------
% 0.71/0.78 % (22306)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.78 % (22306)Termination reason: Refutation
% 0.71/0.78
% 0.71/0.78 % (22306)Memory used [KB]: 1228
% 0.71/0.78 % (22306)Time elapsed: 0.013 s
% 0.71/0.78 % (22306)Instructions burned: 20 (million)
% 0.71/0.78 % (22291)Success in time 0.425 s
% 0.71/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------