TSTP Solution File: NUN066+2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUN066+2 : TPTP v8.1.2. Released 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n028.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 08:44:25 EDT 2024
% Result : Theorem 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 69 ( 4 unt; 0 def)
% Number of atoms : 185 ( 51 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 200 ( 84 ~; 98 |; 13 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 75 ( 65 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f268,plain,
$false,
inference(avatar_sat_refutation,[],[f186,f191,f208,f228,f235,f241,f267]) ).
fof(f267,plain,
( spl24_2
| ~ spl24_8 ),
inference(avatar_contradiction_clause,[],[f266]) ).
fof(f266,plain,
( $false
| spl24_2
| ~ spl24_8 ),
inference(subsumption_resolution,[],[f263,f69]) ).
fof(f69,plain,
r1(sK9),
inference(equality_resolution,[],[f42]) ).
fof(f42,plain,
! [X1] :
( sK9 != X1
| r1(X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8VAqmjvoPL/Vampire---4.8_26382',axiom_1) ).
fof(f263,plain,
( ~ r1(sK9)
| spl24_2
| ~ spl24_8 ),
inference(superposition,[],[f160,f250]) ).
fof(f250,plain,
( sK9 = sK10(sK9)
| ~ spl24_8 ),
inference(unit_resulting_resolution,[],[f71,f207,f70]) ).
fof(f70,plain,
! [X3,X0,X1] :
( ~ r2(X1,X3)
| ~ r2(X0,X3)
| X0 = X1 ),
inference(equality_resolution,[],[f44]) ).
fof(f44,plain,
! [X2,X3,X0,X1] :
( ~ r2(X0,X3)
| X2 != X3
| ~ r2(X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( X0 = X1
| ! [X2] :
( ~ r2(X1,X2)
| ! [X3] :
( X2 != X3
| ~ r2(X0,X3) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X25,X26] :
( X25 = X26
| ! [X27] :
( ~ r2(X26,X27)
| ! [X28] :
( X27 != X28
| ~ r2(X25,X28) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8VAqmjvoPL/Vampire---4.8_26382',axiom_3a) ).
fof(f207,plain,
( r2(sK10(sK9),sK10(sK9))
| ~ spl24_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl24_8
<=> r2(sK10(sK9),sK10(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_8])]) ).
fof(f71,plain,
! [X0] : r2(X0,sK10(X0)),
inference(equality_resolution,[],[f45]) ).
fof(f45,plain,
! [X2,X0] :
( sK10(X0) != X2
| r2(X0,X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( X3 = X4
& r2(X2,X4) )
| ( X3 != X4
& ~ r2(X2,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8VAqmjvoPL/Vampire---4.8_26382',axiom_2) ).
fof(f160,plain,
( ~ r1(sK10(sK9))
| spl24_2 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl24_2
<=> r1(sK10(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).
fof(f241,plain,
~ spl24_2,
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f238,plain,
( $false
| ~ spl24_2 ),
inference(unit_resulting_resolution,[],[f71,f159,f68]) ).
fof(f68,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ r1(X2)
| X1 != X2
| ~ r2(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( X1 != X2
| ~ r1(X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X40,X41] :
( ~ r2(X40,X41)
| ! [X42] :
( X41 != X42
| ~ r1(X42) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8VAqmjvoPL/Vampire---4.8_26382',axiom_7a) ).
fof(f159,plain,
( r1(sK10(sK9))
| ~ spl24_2 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f235,plain,
( spl24_2
| ~ spl24_5
| ~ spl24_7 ),
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f234,plain,
( $false
| spl24_2
| ~ spl24_5
| ~ spl24_7 ),
inference(subsumption_resolution,[],[f233,f160]) ).
fof(f233,plain,
( r1(sK10(sK9))
| ~ spl24_5
| ~ spl24_7 ),
inference(forward_demodulation,[],[f190,f181]) ).
fof(f181,plain,
( sK10(sK9) = sK1(sK10(sK9))
| ~ spl24_5 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl24_5
<=> sK10(sK9) = sK1(sK10(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_5])]) ).
fof(f190,plain,
( r1(sK1(sK10(sK9)))
| ~ spl24_7 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl24_7
<=> r1(sK1(sK10(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_7])]) ).
fof(f228,plain,
( spl24_2
| ~ spl24_5
| ~ spl24_6 ),
inference(avatar_contradiction_clause,[],[f227]) ).
fof(f227,plain,
( $false
| spl24_2
| ~ spl24_5
| ~ spl24_6 ),
inference(subsumption_resolution,[],[f226,f160]) ).
fof(f226,plain,
( r1(sK10(sK9))
| ~ spl24_5
| ~ spl24_6 ),
inference(forward_demodulation,[],[f225,f181]) ).
fof(f225,plain,
( r1(sK1(sK10(sK9)))
| ~ spl24_6 ),
inference(subsumption_resolution,[],[f216,f69]) ).
fof(f216,plain,
( ~ r1(sK9)
| r1(sK1(sK10(sK9)))
| ~ spl24_6 ),
inference(superposition,[],[f80,f195]) ).
fof(f195,plain,
( sK9 = sK2(sK10(sK9))
| ~ spl24_6 ),
inference(unit_resulting_resolution,[],[f71,f185,f70]) ).
fof(f185,plain,
( r2(sK2(sK10(sK9)),sK10(sK9))
| ~ spl24_6 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl24_6
<=> r2(sK2(sK10(sK9)),sK10(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_6])]) ).
fof(f80,plain,
! [X0] :
( ~ r1(sK2(X0))
| r1(sK1(X0)) ),
inference(resolution,[],[f27,f68]) ).
fof(f27,plain,
! [X0] :
( r2(sK3(X0),sK2(X0))
| r1(sK1(X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& r1(X1) )
| ? [X2] :
( X0 = X2
& ? [X3] :
( r2(X3,X2)
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0] :
( ! [X1] :
( X0 != X1
| ~ r1(X1) )
& ! [X2] :
( X0 != X2
| ! [X3] :
( ~ r2(X3,X2)
| ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) ) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ! [X16] :
( X16 != X38
| ~ r1(X16) )
& ! [X21] :
( X21 != X38
| ! [X22] :
( ~ r2(X22,X21)
| ! [X15] :
( ~ r2(X15,X22)
| ~ r1(X15) ) ) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ! [X16] :
( X16 != X38
| ~ r1(X16) )
& ! [X21] :
( X21 != X38
| ! [X22] :
( ~ r2(X22,X21)
| ! [X15] :
( ~ r2(X15,X22)
| ~ r1(X15) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8VAqmjvoPL/Vampire---4.8_26382',nonzerononetwoexist) ).
fof(f208,plain,
( spl24_5
| spl24_8
| ~ spl24_6 ),
inference(avatar_split_clause,[],[f201,f183,f205,f179]) ).
fof(f201,plain,
( r2(sK10(sK9),sK10(sK9))
| sK10(sK9) = sK1(sK10(sK9))
| ~ spl24_6 ),
inference(superposition,[],[f185,f123]) ).
fof(f123,plain,
! [X0] :
( sK2(X0) = sK10(sK9)
| sK1(X0) = X0 ),
inference(resolution,[],[f103,f46]) ).
fof(f46,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| sK10(X0) = X2 ),
inference(cnf_transformation,[],[f19]) ).
fof(f103,plain,
! [X0] :
( r2(sK9,sK2(X0))
| sK1(X0) = X0 ),
inference(duplicate_literal_removal,[],[f98]) ).
fof(f98,plain,
! [X0] :
( r2(sK9,sK2(X0))
| sK1(X0) = X0
| sK1(X0) = X0 ),
inference(superposition,[],[f29,f75]) ).
fof(f75,plain,
! [X0] :
( sK3(X0) = sK9
| sK1(X0) = X0 ),
inference(resolution,[],[f28,f43]) ).
fof(f43,plain,
! [X1] :
( ~ r1(X1)
| sK9 = X1 ),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0] :
( r1(sK3(X0))
| sK1(X0) = X0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f29,plain,
! [X0] :
( r2(sK3(X0),sK2(X0))
| sK1(X0) = X0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f191,plain,
( spl24_7
| spl24_6
| spl24_2 ),
inference(avatar_split_clause,[],[f177,f158,f183,f188]) ).
fof(f177,plain,
( r2(sK2(sK10(sK9)),sK10(sK9))
| r1(sK1(sK10(sK9)))
| spl24_2 ),
inference(superposition,[],[f31,f170]) ).
fof(f170,plain,
( sK10(sK9) = sK0(sK10(sK9))
| spl24_2 ),
inference(unit_resulting_resolution,[],[f160,f86]) ).
fof(f86,plain,
! [X0] :
( r1(X0)
| sK0(X0) = X0 ),
inference(duplicate_literal_removal,[],[f85]) ).
fof(f85,plain,
! [X0] :
( r1(X0)
| sK0(X0) = X0
| sK0(X0) = X0 ),
inference(superposition,[],[f32,f33]) ).
fof(f33,plain,
! [X0] :
( sK1(X0) = X0
| sK0(X0) = X0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f32,plain,
! [X0] :
( r1(sK1(X0))
| sK0(X0) = X0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f31,plain,
! [X0] :
( r2(sK2(X0),sK0(X0))
| r1(sK1(X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f186,plain,
( spl24_5
| spl24_6
| spl24_2 ),
inference(avatar_split_clause,[],[f175,f158,f183,f179]) ).
fof(f175,plain,
( r2(sK2(sK10(sK9)),sK10(sK9))
| sK10(sK9) = sK1(sK10(sK9))
| spl24_2 ),
inference(superposition,[],[f30,f170]) ).
fof(f30,plain,
! [X0] :
( r2(sK2(X0),sK0(X0))
| sK1(X0) = X0 ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUN066+2 : TPTP v8.1.2. Released 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n028.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 18:55:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ 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.8VAqmjvoPL/Vampire---4.8_26382
% 0.55/0.74 % (26574)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)
% 0.55/0.74 % (26571)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)
% 0.55/0.74 % (26574)Refutation not found, incomplete strategy% (26574)------------------------------
% 0.55/0.74 % (26574)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (26574)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (26574)Memory used [KB]: 1047
% 0.55/0.74 % (26574)Time elapsed: 0.002 s
% 0.55/0.74 % (26574)Instructions burned: 3 (million)
% 0.55/0.74 % (26574)------------------------------
% 0.55/0.74 % (26574)------------------------------
% 0.55/0.75 % (26569)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (26570)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)
% 0.55/0.75 % (26571)Refutation not found, incomplete strategy% (26571)------------------------------
% 0.55/0.75 % (26571)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (26572)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)
% 0.55/0.75 % (26573)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)
% 0.55/0.75 % (26571)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (26571)Memory used [KB]: 1060
% 0.55/0.75 % (26571)Time elapsed: 0.004 s
% 0.55/0.75 % (26571)Instructions burned: 4 (million)
% 0.55/0.75 % (26568)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)
% 0.55/0.75 % (26571)------------------------------
% 0.55/0.75 % (26571)------------------------------
% 0.55/0.75 % (26567)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)
% 0.55/0.75 % (26567)Refutation not found, incomplete strategy% (26567)------------------------------
% 0.55/0.75 % (26567)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (26567)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (26567)Memory used [KB]: 1057
% 0.55/0.75 % (26567)Time elapsed: 0.002 s
% 0.55/0.75 % (26567)Instructions burned: 4 (million)
% 0.55/0.75 % (26567)------------------------------
% 0.55/0.75 % (26567)------------------------------
% 0.55/0.75 % (26570)Refutation not found, incomplete strategy% (26570)------------------------------
% 0.55/0.75 % (26570)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (26570)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (26570)Memory used [KB]: 1047
% 0.55/0.75 % (26570)Time elapsed: 0.006 s
% 0.55/0.75 % (26570)Instructions burned: 3 (million)
% 0.55/0.75 % (26570)------------------------------
% 0.55/0.75 % (26570)------------------------------
% 0.55/0.75 % (26575)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)
% 0.55/0.75 % (26576)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)
% 0.55/0.75 % (26575)Refutation not found, incomplete strategy% (26575)------------------------------
% 0.55/0.75 % (26575)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (26575)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (26575)Memory used [KB]: 1050
% 0.55/0.75 % (26575)Time elapsed: 0.004 s
% 0.55/0.75 % (26575)Instructions burned: 4 (million)
% 0.55/0.75 % (26575)------------------------------
% 0.55/0.75 % (26575)------------------------------
% 0.55/0.76 % (26578)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)
% 0.55/0.76 % (26573)First to succeed.
% 0.55/0.76 % (26579)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)
% 0.55/0.76 % (26572)Also succeeded, but the first one will report.
% 0.55/0.76 % (26573)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26553"
% 0.55/0.76 % (26573)Refutation found. Thanks to Tanya!
% 0.55/0.76 % SZS status Theorem for Vampire---4
% 0.55/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.76 % (26573)------------------------------
% 0.55/0.76 % (26573)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (26573)Termination reason: Refutation
% 0.55/0.76
% 0.55/0.76 % (26573)Memory used [KB]: 1095
% 0.55/0.76 % (26573)Time elapsed: 0.016 s
% 0.55/0.76 % (26573)Instructions burned: 11 (million)
% 0.55/0.76 % (26553)Success in time 0.395 s
% 0.55/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------