TSTP Solution File: SET962+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET962+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 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 09:09:10 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 3 unt; 0 def)
% Number of atoms : 108 ( 16 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 121 ( 56 ~; 53 |; 2 &)
% ( 6 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 51 ( 48 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f198,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f75,f159,f173,f195,f197]) ).
fof(f197,plain,
( spl5_4
| ~ spl5_1
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f196,f69,f30,f72]) ).
fof(f72,plain,
( spl5_4
<=> ! [X0] : ~ in(X0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f30,plain,
( spl5_1
<=> ! [X1] : ~ in(X1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f69,plain,
( spl5_3
<=> ! [X1] :
( ~ in(X1,sK1)
| in(X1,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f196,plain,
( ! [X1] : ~ in(X1,sK1)
| ~ spl5_1
| ~ spl5_3 ),
inference(subsumption_resolution,[],[f70,f31]) ).
fof(f31,plain,
( ! [X1] : ~ in(X1,sK0)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f70,plain,
( ! [X1] :
( ~ in(X1,sK1)
| in(X1,sK0) )
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f195,plain,
( ~ spl5_1
| ~ spl5_4 ),
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f194,plain,
( $false
| ~ spl5_1
| ~ spl5_4 ),
inference(subsumption_resolution,[],[f174,f73]) ).
fof(f73,plain,
( ! [X0] : ~ in(X0,sK1)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f174,plain,
( in(sK2(sK1,sK0),sK1)
| ~ spl5_1 ),
inference(unit_resulting_resolution,[],[f15,f31,f16]) ).
fof(f16,plain,
! [X0,X1] :
( in(sK2(X0,X1),X1)
| in(sK2(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.gqh94a7sAV/Vampire---4.8_17214',t2_tarski) ).
fof(f15,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
? [X0,X1] :
( X0 != X1
& cartesian_product2(X0,X0) = cartesian_product2(X1,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X1] :
( cartesian_product2(X0,X0) = cartesian_product2(X1,X1)
=> X0 = X1 ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X1] :
( cartesian_product2(X0,X0) = cartesian_product2(X1,X1)
=> X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.gqh94a7sAV/Vampire---4.8_17214',t115_zfmisc_1) ).
fof(f173,plain,
( spl5_1
| ~ spl5_2
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f171,f72,f33,f30]) ).
fof(f33,plain,
( spl5_2
<=> ! [X0] :
( in(X0,sK1)
| ~ in(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f171,plain,
( ! [X0] : ~ in(X0,sK0)
| ~ spl5_2
| ~ spl5_4 ),
inference(resolution,[],[f73,f34]) ).
fof(f34,plain,
( ! [X0] :
( in(X0,sK1)
| ~ in(X0,sK0) )
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f159,plain,
( ~ spl5_2
| ~ spl5_3 ),
inference(avatar_contradiction_clause,[],[f158]) ).
fof(f158,plain,
( $false
| ~ spl5_2
| ~ spl5_3 ),
inference(subsumption_resolution,[],[f157,f15]) ).
fof(f157,plain,
( sK0 = sK1
| ~ spl5_2
| ~ spl5_3 ),
inference(subsumption_resolution,[],[f153,f136]) ).
fof(f136,plain,
( in(sK2(sK0,sK1),sK1)
| ~ spl5_2
| ~ spl5_3 ),
inference(unit_resulting_resolution,[],[f133,f34]) ).
fof(f133,plain,
( in(sK2(sK0,sK1),sK0)
| ~ spl5_3 ),
inference(subsumption_resolution,[],[f128,f15]) ).
fof(f128,plain,
( in(sK2(sK0,sK1),sK0)
| sK0 = sK1
| ~ spl5_3 ),
inference(factoring,[],[f89]) ).
fof(f89,plain,
( ! [X0] :
( in(sK2(X0,sK1),sK0)
| in(sK2(X0,sK1),X0)
| sK1 = X0 )
| ~ spl5_3 ),
inference(resolution,[],[f70,f16]) ).
fof(f153,plain,
( ~ in(sK2(sK0,sK1),sK1)
| sK0 = sK1
| ~ spl5_3 ),
inference(resolution,[],[f133,f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ in(sK2(X0,X1),X0)
| ~ in(sK2(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f75,plain,
( spl5_4
| spl5_3 ),
inference(avatar_split_clause,[],[f64,f69,f72]) ).
fof(f64,plain,
! [X0,X1] :
( ~ in(X0,sK1)
| ~ in(X1,sK1)
| in(X0,sK0) ),
inference(resolution,[],[f27,f19]) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X1,X3)
& in(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.gqh94a7sAV/Vampire---4.8_17214',l55_zfmisc_1) ).
fof(f27,plain,
! [X0,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(sK0,sK0))
| ~ in(X1,sK1)
| ~ in(X0,sK1) ),
inference(superposition,[],[f20,f14]) ).
fof(f14,plain,
cartesian_product2(sK0,sK0) = cartesian_product2(sK1,sK1),
inference(cnf_transformation,[],[f11]) ).
fof(f20,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f35,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f28,f33,f30]) ).
fof(f28,plain,
! [X0,X1] :
( in(X0,sK1)
| ~ in(X1,sK0)
| ~ in(X0,sK0) ),
inference(resolution,[],[f25,f20]) ).
fof(f25,plain,
! [X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(sK0,sK0))
| in(X0,sK1) ),
inference(superposition,[],[f18,f14]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(cnf_transformation,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET962+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.12/0.15 % 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
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 16:20:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ 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.gqh94a7sAV/Vampire---4.8_17214
% 0.56/0.74 % (17329)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)
% 0.56/0.74 % (17329)Refutation not found, incomplete strategy% (17329)------------------------------
% 0.56/0.74 % (17329)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (17329)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (17329)Memory used [KB]: 968
% 0.56/0.74 % (17329)Time elapsed: 0.002 s
% 0.56/0.74 % (17329)Instructions burned: 2 (million)
% 0.56/0.74 % (17322)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)
% 0.56/0.74 % (17324)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (17326)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)
% 0.56/0.74 % (17329)------------------------------
% 0.56/0.74 % (17329)------------------------------
% 0.56/0.74 % (17325)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)
% 0.56/0.74 % (17327)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)
% 0.56/0.74 % (17323)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)
% 0.56/0.74 % (17328)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)
% 0.56/0.74 % (17325)Refutation not found, incomplete strategy% (17325)------------------------------
% 0.56/0.74 % (17325)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (17325)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74 % (17322)Refutation not found, incomplete strategy% (17322)------------------------------
% 0.56/0.74 % (17322)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (17322)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (17322)Memory used [KB]: 967
% 0.56/0.74 % (17322)Time elapsed: 0.003 s
% 0.56/0.74 % (17322)Instructions burned: 2 (million)
% 0.56/0.74
% 0.56/0.74 % (17325)Memory used [KB]: 964
% 0.56/0.74 % (17325)Time elapsed: 0.003 s
% 0.56/0.74 % (17325)Instructions burned: 2 (million)
% 0.56/0.74 % (17326)Refutation not found, incomplete strategy% (17326)------------------------------
% 0.56/0.74 % (17326)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (17326)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (17322)------------------------------
% 0.56/0.74 % (17322)------------------------------
% 0.56/0.74 % (17326)Memory used [KB]: 972
% 0.56/0.74 % (17326)Time elapsed: 0.003 s
% 0.56/0.74 % (17326)Instructions burned: 2 (million)
% 0.56/0.74 % (17325)------------------------------
% 0.56/0.74 % (17325)------------------------------
% 0.56/0.74 % (17326)------------------------------
% 0.56/0.74 % (17326)------------------------------
% 0.56/0.74 % (17327)Refutation not found, incomplete strategy% (17327)------------------------------
% 0.56/0.74 % (17327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (17327)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (17327)Memory used [KB]: 982
% 0.56/0.74 % (17327)Time elapsed: 0.004 s
% 0.56/0.74 % (17327)Instructions burned: 3 (million)
% 0.56/0.74 % (17330)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)
% 0.56/0.74 % (17327)------------------------------
% 0.56/0.74 % (17327)------------------------------
% 0.56/0.74 % (17330)Refutation not found, incomplete strategy% (17330)------------------------------
% 0.56/0.74 % (17330)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (17330)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (17330)Memory used [KB]: 1039
% 0.56/0.74 % (17330)Time elapsed: 0.003 s
% 0.56/0.74 % (17330)Instructions burned: 5 (million)
% 0.56/0.74 % (17330)------------------------------
% 0.56/0.74 % (17330)------------------------------
% 0.56/0.74 % (17331)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)
% 0.56/0.74 % (17332)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)
% 0.56/0.75 % (17333)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)
% 0.56/0.75 % (17328)First to succeed.
% 0.56/0.75 % (17328)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17321"
% 0.56/0.75 % (17334)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)
% 0.56/0.75 % (17331)Refutation not found, incomplete strategy% (17331)------------------------------
% 0.56/0.75 % (17331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (17331)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (17331)Memory used [KB]: 956
% 0.56/0.75 % (17331)Time elapsed: 0.002 s
% 0.56/0.75 % (17331)Instructions burned: 2 (million)
% 0.56/0.75 % (17335)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)
% 0.56/0.75 % (17331)------------------------------
% 0.56/0.75 % (17331)------------------------------
% 0.56/0.75 % (17328)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (17328)------------------------------
% 0.56/0.75 % (17328)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (17328)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (17328)Memory used [KB]: 1085
% 0.56/0.75 % (17328)Time elapsed: 0.008 s
% 0.56/0.75 % (17328)Instructions burned: 9 (million)
% 0.56/0.75 % (17321)Success in time 0.38 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------