TSTP Solution File: NUN066+2 by Vampire---4.8
View Problem
- 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 : n017.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 : Wed May 1 03:36:20 EDT 2024
% Result : Theorem 0.73s 0.91s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 4 unt; 0 def)
% Number of atoms : 184 ( 58 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 217 ( 87 ~; 81 |; 43 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 116 ( 94 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f344,plain,
$false,
inference(resolution,[],[f318,f56]) ).
fof(f56,plain,
r1(sK7),
inference(equality_resolution,[],[f46]) ).
fof(f46,plain,
! [X1] :
( r1(X1)
| sK7 != X1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1] :
( ( sK7 = X1
& r1(X1) )
| ( sK7 != X1
& ~ r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f1,f28]) ).
fof(f28,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) )
=> ! [X1] :
( ( sK7 = X1
& r1(X1) )
| ( sK7 != X1
& ~ r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uRYYw6QoYX/Vampire---4.8_8483',axiom_1) ).
fof(f318,plain,
! [X0] : ~ r1(X0),
inference(duplicate_literal_removal,[],[f313]) ).
fof(f313,plain,
! [X0] :
( ~ r1(X0)
| ~ r1(X0) ),
inference(resolution,[],[f312,f59]) ).
fof(f59,plain,
! [X0] : r2(X0,sK8(X0)),
inference(equality_resolution,[],[f51]) ).
fof(f51,plain,
! [X2,X0] :
( r2(X0,X2)
| sK8(X0) != X2 ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X2] :
( ( sK8(X0) = X2
& r2(X0,X2) )
| ( sK8(X0) != X2
& ~ r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f18,f30]) ).
fof(f30,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) )
=> ! [X2] :
( ( sK8(X0) = X2
& r2(X0,X2) )
| ( sK8(X0) != X2
& ~ r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,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.uRYYw6QoYX/Vampire---4.8_8483',axiom_2) ).
fof(f312,plain,
! [X0,X1] :
( ~ r2(X1,sK8(X0))
| ~ r1(X1)
| ~ r1(X0) ),
inference(subsumption_resolution,[],[f305,f54]) ).
fof(f54,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| X1 != X2
| ~ r1(X2) ),
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.uRYYw6QoYX/Vampire---4.8_8483',axiom_7a) ).
fof(f305,plain,
! [X0,X1] :
( r1(sK8(X0))
| ~ r1(X0)
| ~ r1(X1)
| ~ r2(X1,sK8(X0)) ),
inference(superposition,[],[f109,f295]) ).
fof(f295,plain,
! [X0,X1] :
( sK0(X0) = X0
| ~ r1(X1)
| ~ r2(X1,X0) ),
inference(subsumption_resolution,[],[f283,f54]) ).
fof(f283,plain,
! [X0,X1] :
( ~ r1(X1)
| r1(X0)
| sK0(X0) = X0
| ~ r2(X1,X0) ),
inference(superposition,[],[f77,f87]) ).
fof(f87,plain,
! [X0,X1] :
( sK2(X0) = X1
| sK0(X0) = X0
| ~ r2(X1,X0) ),
inference(resolution,[],[f82,f57]) ).
fof(f57,plain,
! [X3,X0,X1] :
( ~ r2(X1,X3)
| X0 = X1
| ~ r2(X0,X3) ),
inference(equality_resolution,[],[f49]) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ r2(X1,X2)
| X2 != X3
| ~ r2(X0,X3) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,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.uRYYw6QoYX/Vampire---4.8_8483',axiom_3a) ).
fof(f82,plain,
! [X0] :
( r2(sK2(X0),X0)
| sK0(X0) = X0 ),
inference(duplicate_literal_removal,[],[f80]) ).
fof(f80,plain,
! [X0] :
( r2(sK2(X0),X0)
| sK0(X0) = X0
| sK0(X0) = X0 ),
inference(superposition,[],[f38,f39]) ).
fof(f39,plain,
! [X0] :
( sK1(X0) = X0
| sK0(X0) = X0 ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ( sK0(X0) = X0
& r1(sK0(X0)) )
| ( sK1(X0) = X0
& r2(sK2(X0),sK1(X0))
& r2(sK3(X0),sK2(X0))
& r1(sK3(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f19,f23,f22,f21,f20]) ).
fof(f20,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& r1(X1) )
=> ( sK0(X0) = X0
& r1(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
( ? [X2] :
( X0 = X2
& ? [X3] :
( r2(X3,X2)
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) )
=> ( sK1(X0) = X0
& ? [X3] :
( r2(X3,sK1(X0))
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
( ? [X3] :
( r2(X3,sK1(X0))
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) )
=> ( r2(sK2(X0),sK1(X0))
& ? [X4] :
( r2(X4,sK2(X0))
& r1(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
( ? [X4] :
( r2(X4,sK2(X0))
& r1(X4) )
=> ( r2(sK3(X0),sK2(X0))
& r1(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,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.uRYYw6QoYX/Vampire---4.8_8483',nonzerononetwoexist) ).
fof(f38,plain,
! [X0] :
( r2(sK2(X0),sK1(X0))
| sK0(X0) = X0 ),
inference(cnf_transformation,[],[f24]) ).
fof(f77,plain,
! [X0] :
( ~ r1(sK2(X0))
| r1(X0) ),
inference(duplicate_literal_removal,[],[f76]) ).
fof(f76,plain,
! [X0] :
( r1(X0)
| ~ r1(sK2(X0))
| ~ r1(sK2(X0)) ),
inference(superposition,[],[f61,f73]) ).
fof(f73,plain,
! [X0] :
( sK0(X0) = X0
| ~ r1(sK2(X0)) ),
inference(resolution,[],[f37,f54]) ).
fof(f37,plain,
! [X0] :
( r2(sK3(X0),sK2(X0))
| sK0(X0) = X0 ),
inference(cnf_transformation,[],[f24]) ).
fof(f61,plain,
! [X0] :
( r1(sK0(X0))
| ~ r1(sK2(X0)) ),
inference(resolution,[],[f33,f54]) ).
fof(f33,plain,
! [X0] :
( r2(sK3(X0),sK2(X0))
| r1(sK0(X0)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f109,plain,
! [X0] :
( r1(sK0(sK8(X0)))
| ~ r1(X0) ),
inference(resolution,[],[f108,f59]) ).
fof(f108,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| r1(sK0(X0))
| ~ r1(X1) ),
inference(subsumption_resolution,[],[f102,f54]) ).
fof(f102,plain,
! [X0,X1] :
( ~ r1(X1)
| r1(X0)
| r1(sK0(X0))
| ~ r2(X1,X0) ),
inference(superposition,[],[f77,f68]) ).
fof(f68,plain,
! [X0,X1] :
( sK2(X0) = X1
| r1(sK0(X0))
| ~ r2(X1,X0) ),
inference(resolution,[],[f66,f57]) ).
fof(f66,plain,
! [X0] :
( r2(sK2(X0),X0)
| r1(sK0(X0)) ),
inference(duplicate_literal_removal,[],[f65]) ).
fof(f65,plain,
! [X0] :
( r2(sK2(X0),X0)
| r1(sK0(X0))
| r1(sK0(X0)) ),
inference(superposition,[],[f34,f35]) ).
fof(f35,plain,
! [X0] :
( sK1(X0) = X0
| r1(sK0(X0)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f34,plain,
! [X0] :
( r2(sK2(X0),sK1(X0))
| r1(sK0(X0)) ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----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
% 0.15/0.36 % Computer : n017.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 : Tue Apr 30 17:12:49 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.uRYYw6QoYX/Vampire---4.8_8483
% 0.73/0.90 % (8734)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 (2994ds/34Mi)
% 0.73/0.90 % (8736)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.73/0.90 % (8735)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 (2994ds/51Mi)
% 0.73/0.90 % (8737)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.73/0.90 % (8738)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 (2994ds/34Mi)
% 0.73/0.90 % (8739)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.73/0.90 % (8740)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 (2994ds/83Mi)
% 0.73/0.90 % (8741)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 (2994ds/56Mi)
% 0.73/0.90 % (8737)Refutation not found, incomplete strategy% (8737)------------------------------
% 0.73/0.90 % (8737)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.90 % (8737)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.90
% 0.73/0.90 % (8737)Memory used [KB]: 1046
% 0.73/0.90 % (8737)Time elapsed: 0.003 s
% 0.73/0.90 % (8737)Instructions burned: 3 (million)
% 0.73/0.90 % (8737)------------------------------
% 0.73/0.90 % (8737)------------------------------
% 0.73/0.90 % (8738)Refutation not found, incomplete strategy% (8738)------------------------------
% 0.73/0.90 % (8738)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.90 % (8734)Refutation not found, incomplete strategy% (8734)------------------------------
% 0.73/0.90 % (8734)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.90 % (8734)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.90
% 0.73/0.90 % (8734)Memory used [KB]: 1057
% 0.73/0.90 % (8734)Time elapsed: 0.004 s
% 0.73/0.90 % (8734)Instructions burned: 4 (million)
% 0.73/0.90 % (8734)------------------------------
% 0.73/0.90 % (8734)------------------------------
% 0.73/0.90 % (8738)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.90
% 0.73/0.90 % (8738)Memory used [KB]: 1060
% 0.73/0.90 % (8738)Time elapsed: 0.003 s
% 0.73/0.90 % (8738)Instructions burned: 4 (million)
% 0.73/0.90 % (8738)------------------------------
% 0.73/0.90 % (8738)------------------------------
% 0.73/0.90 % (8741)Refutation not found, incomplete strategy% (8741)------------------------------
% 0.73/0.90 % (8741)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.90 % (8741)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.90
% 0.73/0.90 % (8741)Memory used [KB]: 1047
% 0.73/0.90 % (8741)Time elapsed: 0.003 s
% 0.73/0.90 % (8741)Instructions burned: 3 (million)
% 0.73/0.90 % (8741)------------------------------
% 0.73/0.90 % (8741)------------------------------
% 0.73/0.90 % (8742)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 (2994ds/55Mi)
% 0.73/0.90 % (8744)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 (2994ds/208Mi)
% 0.73/0.90 % (8743)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 (2994ds/50Mi)
% 0.73/0.90 % (8745)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 (2994ds/52Mi)
% 0.73/0.90 % (8739)First to succeed.
% 0.73/0.91 % (8742)Refutation not found, incomplete strategy% (8742)------------------------------
% 0.73/0.91 % (8742)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.91 % (8742)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.91
% 0.73/0.91 % (8742)Memory used [KB]: 1049
% 0.73/0.91 % (8742)Time elapsed: 0.003 s
% 0.73/0.91 % (8742)Instructions burned: 4 (million)
% 0.73/0.91 % (8742)------------------------------
% 0.73/0.91 % (8742)------------------------------
% 0.73/0.91 % (8739)Refutation found. Thanks to Tanya!
% 0.73/0.91 % SZS status Theorem for Vampire---4
% 0.73/0.91 % SZS output start Proof for Vampire---4
% See solution above
% 0.73/0.91 % (8739)------------------------------
% 0.73/0.91 % (8739)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.91 % (8739)Termination reason: Refutation
% 0.73/0.91
% 0.73/0.91 % (8739)Memory used [KB]: 1078
% 0.73/0.91 % (8739)Time elapsed: 0.008 s
% 0.73/0.91 % (8739)Instructions burned: 14 (million)
% 0.73/0.91 % (8739)------------------------------
% 0.73/0.91 % (8739)------------------------------
% 0.73/0.91 % (8662)Success in time 0.535 s
% 0.73/0.91 % Vampire---4.8 exiting
%------------------------------------------------------------------------------