TSTP Solution File: SET018-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET018-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n011.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 09:02:53 EDT 2024
% Result : Unsatisfiable 0.67s 0.85s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 69 ( 11 unt; 0 def)
% Number of atoms : 158 ( 50 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 171 ( 82 ~; 83 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f261,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f110,f120,f134,f174,f195,f257]) ).
fof(f257,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f256,plain,
( $false
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f254]) ).
fof(f254,plain,
( m1 != m1
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f198,f250]) ).
fof(f250,plain,
( m1 = r1
| ~ spl0_4
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f249]) ).
fof(f249,plain,
( m1 = r1
| m1 = r1
| ~ spl0_4
| ~ spl0_6 ),
inference(resolution,[],[f244,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.obEkgutPJQ/Vampire---4.8_31472',unordered_pair_3) ).
fof(f244,plain,
( member(r1,unordered_pair(m1,m1))
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f4,f213]) ).
fof(f213,plain,
( unordered_pair(m1,r1) = unordered_pair(m1,m1)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f47,f133]) ).
fof(f133,plain,
( m1 = r2
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl0_6
<=> m1 = r2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f47,plain,
( unordered_pair(m1,r1) = unordered_pair(m1,r2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_4
<=> unordered_pair(m1,r1) = unordered_pair(m1,r2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f4,axiom,
! [X0,X1] : member(X1,unordered_pair(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.obEkgutPJQ/Vampire---4.8_31472',unordered_pair_2) ).
fof(f198,plain,
( m1 != r1
| ~ spl0_6 ),
inference(superposition,[],[f8,f133]) ).
fof(f8,axiom,
r1 != r2,
file('/export/starexec/sandbox2/tmp/tmp.obEkgutPJQ/Vampire---4.8_31472',prove_second_components_equal) ).
fof(f195,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f194,plain,
( $false
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f191]) ).
fof(f191,plain,
( r1 != r1
| ~ spl0_5 ),
inference(superposition,[],[f8,f129]) ).
fof(f129,plain,
( r1 = r2
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl0_5
<=> r1 = r2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f174,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f173]) ).
fof(f173,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(trivial_inequality_removal,[],[f169]) ).
fof(f169,plain,
( singleton_set(m1) != singleton_set(m1)
| ~ spl0_1
| spl0_2 ),
inference(superposition,[],[f23,f163]) ).
fof(f163,plain,
( m1 = m2
| ~ spl0_1 ),
inference(resolution,[],[f149,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ member(X0,singleton_set(X1))
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.obEkgutPJQ/Vampire---4.8_31472',singleton_2) ).
fof(f149,plain,
( member(m1,singleton_set(m2))
| ~ spl0_1 ),
inference(superposition,[],[f3,f20]) ).
fof(f20,plain,
( unordered_pair(m1,r1) = singleton_set(m2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f18,plain,
( spl0_1
<=> unordered_pair(m1,r1) = singleton_set(m2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f3,axiom,
! [X0,X1] : member(X0,unordered_pair(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.obEkgutPJQ/Vampire---4.8_31472',unordered_pair_1) ).
fof(f23,plain,
( singleton_set(m1) != singleton_set(m2)
| spl0_2 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f22,plain,
( spl0_2
<=> singleton_set(m1) = singleton_set(m2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f134,plain,
( spl0_5
| spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f125,f45,f131,f127]) ).
fof(f125,plain,
( m1 = r2
| r1 = r2
| ~ spl0_4 ),
inference(resolution,[],[f123,f5]) ).
fof(f123,plain,
( member(r2,unordered_pair(m1,r1))
| ~ spl0_4 ),
inference(superposition,[],[f4,f47]) ).
fof(f120,plain,
( spl0_4
| spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f68,f22,f41,f45]) ).
fof(f41,plain,
( spl0_3
<=> singleton_set(m1) = unordered_pair(m1,r2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f68,plain,
( singleton_set(m1) = unordered_pair(m1,r2)
| unordered_pair(m1,r1) = unordered_pair(m1,r2)
| ~ spl0_2 ),
inference(resolution,[],[f37,f5]) ).
fof(f37,plain,
( member(unordered_pair(m1,r2),unordered_pair(singleton_set(m1),unordered_pair(m1,r1)))
| ~ spl0_2 ),
inference(superposition,[],[f14,f30]) ).
fof(f30,plain,
( m1 = m2
| ~ spl0_2 ),
inference(resolution,[],[f29,f2]) ).
fof(f29,plain,
( member(m2,singleton_set(m1))
| ~ spl0_2 ),
inference(superposition,[],[f1,f24]) ).
fof(f24,plain,
( singleton_set(m1) = singleton_set(m2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f1,axiom,
! [X0] : member(X0,singleton_set(X0)),
file('/export/starexec/sandbox2/tmp/tmp.obEkgutPJQ/Vampire---4.8_31472',singleton_1) ).
fof(f14,plain,
member(unordered_pair(m2,r2),unordered_pair(singleton_set(m1),unordered_pair(m1,r1))),
inference(superposition,[],[f4,f9]) ).
fof(f9,plain,
unordered_pair(singleton_set(m1),unordered_pair(m1,r1)) = unordered_pair(singleton_set(m2),unordered_pair(m2,r2)),
inference(definition_unfolding,[],[f7,f6,f6]) ).
fof(f6,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton_set(X0),unordered_pair(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.obEkgutPJQ/Vampire---4.8_31472',ordered_pair) ).
fof(f7,axiom,
ordered_pair(m1,r1) = ordered_pair(m2,r2),
file('/export/starexec/sandbox2/tmp/tmp.obEkgutPJQ/Vampire---4.8_31472',equal_ordered_pairs) ).
fof(f110,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f109]) ).
fof(f109,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f104]) ).
fof(f104,plain,
( m1 != m1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f59,f100]) ).
fof(f100,plain,
( m1 = r1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f98,f30]) ).
fof(f98,plain,
( r1 = m2
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f91,f28]) ).
fof(f28,plain,
( ! [X0] :
( ~ member(X0,singleton_set(m1))
| m2 = X0 )
| ~ spl0_2 ),
inference(superposition,[],[f2,f24]) ).
fof(f91,plain,
( member(r1,singleton_set(m1))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f4,f85]) ).
fof(f85,plain,
( singleton_set(m1) = unordered_pair(m1,r1)
| ~ spl0_2
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f84]) ).
fof(f84,plain,
( singleton_set(m1) = unordered_pair(m1,r1)
| singleton_set(m1) = unordered_pair(m1,r1)
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f77,f5]) ).
fof(f77,plain,
( member(unordered_pair(m1,r1),unordered_pair(singleton_set(m1),singleton_set(m1)))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f4,f63]) ).
fof(f63,plain,
( unordered_pair(singleton_set(m1),unordered_pair(m1,r1)) = unordered_pair(singleton_set(m1),singleton_set(m1))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f62,f56]) ).
fof(f56,plain,
( singleton_set(m1) = unordered_pair(m1,m1)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f43,f54]) ).
fof(f54,plain,
( m1 = r2
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f52,f30]) ).
fof(f52,plain,
( m2 = r2
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f50,f28]) ).
fof(f50,plain,
( member(r2,singleton_set(m1))
| ~ spl0_3 ),
inference(superposition,[],[f4,f43]) ).
fof(f43,plain,
( singleton_set(m1) = unordered_pair(m1,r2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f62,plain,
( unordered_pair(singleton_set(m1),unordered_pair(m1,r1)) = unordered_pair(singleton_set(m1),unordered_pair(m1,m1))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f58,f30]) ).
fof(f58,plain,
( unordered_pair(singleton_set(m1),unordered_pair(m1,r1)) = unordered_pair(singleton_set(m2),unordered_pair(m2,m1))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f9,f54]) ).
fof(f59,plain,
( m1 != r1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f8,f54]) ).
fof(f25,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f22,f18]) ).
fof(f16,plain,
( singleton_set(m1) = singleton_set(m2)
| unordered_pair(m1,r1) = singleton_set(m2) ),
inference(resolution,[],[f15,f5]) ).
fof(f15,plain,
member(singleton_set(m2),unordered_pair(singleton_set(m1),unordered_pair(m1,r1))),
inference(superposition,[],[f3,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET018-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 17:04:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.obEkgutPJQ/Vampire---4.8_31472
% 0.67/0.84 % (31651)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 (2995ds/34Mi)
% 0.67/0.84 % (31654)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.67/0.84 % (31653)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.67/0.84 % (31652)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 (2995ds/51Mi)
% 0.67/0.84 % (31655)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 (2995ds/34Mi)
% 0.67/0.84 % (31657)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 (2995ds/83Mi)
% 0.67/0.84 % (31656)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.67/0.84 % (31651)Refutation not found, incomplete strategy% (31651)------------------------------
% 0.67/0.84 % (31651)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84 % (31651)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.84
% 0.67/0.84 % (31651)Memory used [KB]: 963
% 0.67/0.84 % (31651)Time elapsed: 0.002 s
% 0.67/0.84 % (31651)Instructions burned: 2 (million)
% 0.67/0.84 % (31654)Refutation not found, incomplete strategy% (31654)------------------------------
% 0.67/0.84 % (31654)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84 % (31654)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.84 % (31651)------------------------------
% 0.67/0.84 % (31651)------------------------------
% 0.67/0.84
% 0.67/0.84 % (31658)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 (2995ds/56Mi)
% 0.67/0.84 % (31654)Memory used [KB]: 950
% 0.67/0.84 % (31654)Time elapsed: 0.002 s
% 0.67/0.84 % (31654)Instructions burned: 2 (million)
% 0.67/0.84 % (31655)Refutation not found, incomplete strategy% (31655)------------------------------
% 0.67/0.84 % (31655)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84 % (31655)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.84
% 0.67/0.84 % (31655)Memory used [KB]: 966
% 0.67/0.84 % (31655)Time elapsed: 0.002 s
% 0.67/0.84 % (31655)Instructions burned: 2 (million)
% 0.67/0.84 % (31654)------------------------------
% 0.67/0.84 % (31654)------------------------------
% 0.67/0.84 % (31655)------------------------------
% 0.67/0.84 % (31655)------------------------------
% 0.67/0.84 % (31658)Refutation not found, incomplete strategy% (31658)------------------------------
% 0.67/0.84 % (31658)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84 % (31658)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.84
% 0.67/0.84 % (31658)Memory used [KB]: 963
% 0.67/0.84 % (31658)Time elapsed: 0.003 s
% 0.67/0.84 % (31658)Instructions burned: 2 (million)
% 0.67/0.84 % (31658)------------------------------
% 0.67/0.84 % (31658)------------------------------
% 0.67/0.84 % (31659)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)
% 0.67/0.84 % (31659)Refutation not found, incomplete strategy% (31659)------------------------------
% 0.67/0.84 % (31659)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84 % (31659)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.84
% 0.67/0.84 % (31659)Memory used [KB]: 968
% 0.67/0.84 % (31659)Time elapsed: 0.002 s
% 0.67/0.84 % (31659)Instructions burned: 3 (million)
% 0.67/0.84 % (31659)------------------------------
% 0.67/0.84 % (31659)------------------------------
% 0.67/0.85 % (31661)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)
% 0.67/0.85 % (31652)First to succeed.
% 0.67/0.85 % (31657)Also succeeded, but the first one will report.
% 0.67/0.85 % (31661)Refutation not found, incomplete strategy% (31661)------------------------------
% 0.67/0.85 % (31661)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.85 % (31661)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.85 % (31653)Also succeeded, but the first one will report.
% 0.67/0.85
% 0.67/0.85 % (31661)Memory used [KB]: 950
% 0.67/0.85 % (31661)Time elapsed: 0.002 s
% 0.67/0.85 % (31661)Instructions burned: 2 (million)
% 0.67/0.85 % (31652)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31650"
% 0.67/0.85 % (31661)------------------------------
% 0.67/0.85 % (31661)------------------------------
% 0.67/0.85 % (31660)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)
% 0.67/0.85 % (31652)Refutation found. Thanks to Tanya!
% 0.67/0.85 % SZS status Unsatisfiable for Vampire---4
% 0.67/0.85 % SZS output start Proof for Vampire---4
% See solution above
% 0.67/0.85 % (31652)------------------------------
% 0.67/0.85 % (31652)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.85 % (31652)Termination reason: Refutation
% 0.67/0.85
% 0.67/0.85 % (31652)Memory used [KB]: 1086
% 0.67/0.85 % (31652)Time elapsed: 0.007 s
% 0.67/0.85 % (31652)Instructions burned: 9 (million)
% 0.67/0.85 % (31650)Success in time 0.476 s
% 0.67/0.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------