TSTP Solution File: CAT019-3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : CAT019-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : Sun May 5 04:43:12 EDT 2024
% Result : Unsatisfiable 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 37 ( 5 unt; 0 def)
% Number of atoms : 78 ( 19 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 29 ~; 36 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f127,plain,
$false,
inference(avatar_sat_refutation,[],[f32,f36,f98,f117,f119,f126]) ).
fof(f126,plain,
( spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f125]) ).
fof(f125,plain,
( $false
| spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f122,f35]) ).
fof(f35,plain,
( ~ there_exists(b)
| spl0_3 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_3
<=> there_exists(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f122,plain,
( there_exists(b)
| ~ spl0_5 ),
inference(resolution,[],[f97,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ equivalent(X0,X1)
| there_exists(X0) ),
file('/export/starexec/sandbox/tmp/tmp.iLZtajCRiU/Vampire---4.8_19531',equivalence_implies_existence1) ).
fof(f97,plain,
( equivalent(b,b)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl0_5
<=> equivalent(b,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f119,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f118]) ).
fof(f118,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f31,f20]) ).
fof(f20,axiom,
a != b,
file('/export/starexec/sandbox/tmp/tmp.iLZtajCRiU/Vampire---4.8_19531',prove_a_equals_b) ).
fof(f31,plain,
( a = b
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl0_2
<=> a = b ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f117,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f116]) ).
fof(f116,plain,
( $false
| spl0_1
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f115,f28]) ).
fof(f28,plain,
( ~ there_exists(a)
| spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f27,plain,
( spl0_1
<=> there_exists(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f115,plain,
( there_exists(a)
| ~ spl0_4 ),
inference(backward_demodulation,[],[f43,f94]) ).
fof(f94,plain,
( a = f1(a,b)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl0_4
<=> a = f1(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f43,plain,
there_exists(f1(a,b)),
inference(extensionality_resolution,[],[f15,f20]) ).
fof(f15,axiom,
! [X0,X1] :
( there_exists(f1(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.iLZtajCRiU/Vampire---4.8_19531',indiscernibles1) ).
fof(f98,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f91,f96,f93]) ).
fof(f91,plain,
( equivalent(b,b)
| a = f1(a,b) ),
inference(subsumption_resolution,[],[f85,f20]) ).
fof(f85,plain,
( equivalent(b,b)
| a = b
| a = f1(a,b) ),
inference(superposition,[],[f46,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( f1(X0,X1) = X1
| X0 = X1
| f1(X0,X1) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.iLZtajCRiU/Vampire---4.8_19531',indiscernibles2) ).
fof(f46,plain,
equivalent(f1(a,b),f1(a,b)),
inference(resolution,[],[f43,f25]) ).
fof(f25,plain,
! [X1] :
( ~ there_exists(X1)
| equivalent(X1,X1) ),
inference(duplicate_literal_removal,[],[f23]) ).
fof(f23,plain,
! [X1] :
( equivalent(X1,X1)
| ~ there_exists(X1)
| ~ there_exists(X1) ),
inference(equality_resolution,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( equivalent(X0,X1)
| X0 != X1
| ~ there_exists(X1)
| ~ there_exists(X0) ),
file('/export/starexec/sandbox/tmp/tmp.iLZtajCRiU/Vampire---4.8_19531',existence_and_equality_implies_equivalence2) ).
fof(f36,plain,
( ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f22,f30,f34]) ).
fof(f22,plain,
( a = b
| ~ there_exists(b) ),
inference(equality_resolution,[],[f19]) ).
fof(f19,axiom,
! [X2] :
( b != X2
| a = X2
| ~ there_exists(X2) ),
file('/export/starexec/sandbox/tmp/tmp.iLZtajCRiU/Vampire---4.8_19531',equality_of_a_and_b2) ).
fof(f32,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f21,f30,f27]) ).
fof(f21,plain,
( a = b
| ~ there_exists(a) ),
inference(equality_resolution,[],[f18]) ).
fof(f18,axiom,
! [X2] :
( b = X2
| a != X2
| ~ there_exists(X2) ),
file('/export/starexec/sandbox/tmp/tmp.iLZtajCRiU/Vampire---4.8_19531',equality_of_a_and_b1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : CAT019-3 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15 % 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 : n022.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 18:11:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37 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.iLZtajCRiU/Vampire---4.8_19531
% 0.56/0.76 % (19918)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)
% 0.56/0.76 % (19918)Refutation not found, incomplete strategy% (19918)------------------------------
% 0.56/0.76 % (19918)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (19918)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (19918)Memory used [KB]: 960
% 0.56/0.76 % (19918)Time elapsed: 0.001 s
% 0.56/0.76 % (19918)Instructions burned: 2 (million)
% 0.56/0.76 % (19918)------------------------------
% 0.56/0.76 % (19918)------------------------------
% 0.56/0.76 % (19911)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)
% 0.56/0.76 % (19913)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76 % (19914)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)
% 0.56/0.76 % (19915)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)
% 0.56/0.76 % (19916)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)
% 0.56/0.76 % (19912)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)
% 0.56/0.76 % (19917)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)
% 0.56/0.76 % (19914)Refutation not found, incomplete strategy% (19914)------------------------------
% 0.56/0.76 % (19914)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (19913)Refutation not found, incomplete strategy% (19913)------------------------------
% 0.56/0.76 % (19913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (19913)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (19913)Memory used [KB]: 958
% 0.56/0.76 % (19913)Time elapsed: 0.002 s
% 0.56/0.76 % (19913)Instructions burned: 2 (million)
% 0.56/0.76 % (19914)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (19914)Memory used [KB]: 959
% 0.56/0.76 % (19914)Time elapsed: 0.002 s
% 0.56/0.76 % (19916)Refutation not found, incomplete strategy% (19916)------------------------------
% 0.56/0.76 % (19916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (19916)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (19916)Memory used [KB]: 959
% 0.56/0.76 % (19916)Time elapsed: 0.002 s
% 0.56/0.76 % (19916)Instructions burned: 2 (million)
% 0.56/0.76 % (19914)Instructions burned: 2 (million)
% 0.60/0.76 % (19913)------------------------------
% 0.60/0.76 % (19913)------------------------------
% 0.60/0.76 % (19917)Refutation not found, incomplete strategy% (19917)------------------------------
% 0.60/0.76 % (19917)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (19916)------------------------------
% 0.60/0.76 % (19916)------------------------------
% 0.60/0.76 % (19917)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (19917)Memory used [KB]: 959
% 0.60/0.76 % (19917)Time elapsed: 0.002 s
% 0.60/0.76 % (19917)Instructions burned: 2 (million)
% 0.60/0.76 % (19915)Refutation not found, incomplete strategy% (19915)------------------------------
% 0.60/0.76 % (19915)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (19914)------------------------------
% 0.60/0.76 % (19914)------------------------------
% 0.60/0.76 % (19915)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (19915)Memory used [KB]: 980
% 0.60/0.76 % (19915)Time elapsed: 0.003 s
% 0.60/0.76 % (19915)Instructions burned: 2 (million)
% 0.60/0.76 % (19911)Refutation not found, incomplete strategy% (19911)------------------------------
% 0.60/0.76 % (19911)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (19917)------------------------------
% 0.60/0.76 % (19917)------------------------------
% 0.60/0.76 % (19911)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (19911)Memory used [KB]: 981
% 0.60/0.76 % (19911)Time elapsed: 0.003 s
% 0.60/0.76 % (19911)Instructions burned: 3 (million)
% 0.60/0.76 % (19915)------------------------------
% 0.60/0.76 % (19915)------------------------------
% 0.60/0.76 % (19911)------------------------------
% 0.60/0.76 % (19911)------------------------------
% 0.60/0.76 % (19921)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)
% 0.60/0.76 % (19921)Refutation not found, incomplete strategy% (19921)------------------------------
% 0.60/0.76 % (19921)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (19921)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (19921)Memory used [KB]: 959
% 0.60/0.76 % (19921)Time elapsed: 0.001 s
% 0.60/0.76 % (19921)Instructions burned: 2 (million)
% 0.60/0.76 % (19921)------------------------------
% 0.60/0.76 % (19921)------------------------------
% 0.60/0.76 % (19924)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)
% 0.60/0.76 % (19925)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)
% 0.60/0.76 % (19931)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)
% 0.60/0.76 % (19926)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)
% 0.60/0.76 % (19927)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)
% 0.60/0.76 % (19931)Refutation not found, incomplete strategy% (19931)------------------------------
% 0.60/0.76 % (19931)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (19931)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76 % (19928)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)
% 0.60/0.76
% 0.60/0.76 % (19931)Memory used [KB]: 960
% 0.60/0.76 % (19931)Time elapsed: 0.001 s
% 0.60/0.76 % (19931)Instructions burned: 2 (million)
% 0.60/0.76 % (19931)------------------------------
% 0.60/0.76 % (19931)------------------------------
% 0.60/0.76 % (19925)Refutation not found, incomplete strategy% (19925)------------------------------
% 0.60/0.76 % (19925)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (19929)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)
% 0.60/0.76 % (19925)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (19925)Memory used [KB]: 964
% 0.60/0.76 % (19925)Time elapsed: 0.003 s
% 0.60/0.76 % (19925)Instructions burned: 2 (million)
% 0.60/0.76 % (19925)------------------------------
% 0.60/0.76 % (19925)------------------------------
% 0.60/0.76 % (19928)Refutation not found, incomplete strategy% (19928)------------------------------
% 0.60/0.76 % (19928)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (19928)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (19928)Memory used [KB]: 977
% 0.60/0.76 % (19928)Time elapsed: 0.002 s
% 0.60/0.76 % (19928)Instructions burned: 2 (million)
% 0.60/0.76 % (19927)Refutation not found, incomplete strategy% (19927)------------------------------
% 0.60/0.76 % (19927)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (19927)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (19927)Memory used [KB]: 966
% 0.60/0.76 % (19927)Time elapsed: 0.004 s
% 0.60/0.76 % (19927)Instructions burned: 2 (million)
% 0.60/0.76 % (19927)------------------------------
% 0.60/0.76 % (19927)------------------------------
% 0.60/0.76 % (19928)------------------------------
% 0.60/0.76 % (19928)------------------------------
% 0.60/0.77 % (19934)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 Vampire---4 for (2996ds/143Mi)
% 0.60/0.77 % (19926)First to succeed.
% 0.60/0.77 % (19935)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 Vampire---4 for (2996ds/93Mi)
% 0.60/0.77 % (19934)Refutation not found, incomplete strategy% (19934)------------------------------
% 0.60/0.77 % (19934)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (19934)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (19934)Memory used [KB]: 987
% 0.60/0.77 % (19934)Time elapsed: 0.003 s
% 0.60/0.77 % (19934)Instructions burned: 7 (million)
% 0.60/0.77 % (19926)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19779"
% 0.60/0.77 % (19934)------------------------------
% 0.60/0.77 % (19934)------------------------------
% 0.60/0.77 % (19937)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.60/0.77 % (19926)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (19926)------------------------------
% 0.60/0.77 % (19926)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (19926)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (19926)Memory used [KB]: 1080
% 0.60/0.77 % (19926)Time elapsed: 0.008 s
% 0.60/0.77 % (19926)Instructions burned: 7 (million)
% 0.60/0.77 % (19779)Success in time 0.389 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------