TSTP Solution File: SWV411+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV411+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n027.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 10:29:31 EDT 2024
% Result : Theorem 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 8 unt; 0 def)
% Number of atoms : 103 ( 22 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 111 ( 42 ~; 33 |; 23 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 102 ( 75 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f66,plain,
$false,
inference(avatar_sat_refutation,[],[f55,f60,f65]) ).
fof(f65,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f63]) ).
fof(f63,plain,
( $false
| ~ spl5_1 ),
inference(resolution,[],[f61,f45]) ).
fof(f45,plain,
! [X2,X0,X4] : pair_in_list(insert_slb(X0,pair(X2,X4)),X2,X4),
inference(equality_resolution,[],[f44]) ).
fof(f44,plain,
! [X2,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X4)),X2,X4)
| X1 != X2 ),
inference(equality_resolution,[],[f40]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| X3 != X4
| X1 != X2 ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2,X3,X4] :
( ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ( ( X3 != X4
| X1 != X2 )
& ~ pair_in_list(X0,X2,X4) ) )
& ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2,X3,X4] :
( ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ( ( X3 != X4
| X1 != X2 )
& ~ pair_in_list(X0,X2,X4) ) )
& ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2,X3,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
<=> ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.e5lqnSEu6s/Vampire---4.8_24831',ax23) ).
fof(f61,plain,
( ! [X0] : ~ pair_in_list(insert_slb(sK0,pair(sK1,sK3)),sK1,X0)
| ~ spl5_1 ),
inference(superposition,[],[f33,f50]) ).
fof(f50,plain,
( sK1 = sK2
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl5_1
<=> sK1 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f33,plain,
! [X4] : ~ pair_in_list(insert_slb(sK0,pair(sK2,sK3)),sK1,X4),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
( ! [X4] : ~ pair_in_list(insert_slb(sK0,pair(sK2,sK3)),sK1,X4)
& contains_slb(insert_slb(sK0,pair(sK2,sK3)),sK1)
& ! [X5] :
( pair_in_list(sK0,X5,sK4(X5))
| ~ contains_slb(sK0,X5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f22,f25,f24,f23]) ).
fof(f23,plain,
( ? [X0] :
( ? [X1,X2,X3] :
( ! [X4] : ~ pair_in_list(insert_slb(X0,pair(X2,X3)),X1,X4)
& contains_slb(insert_slb(X0,pair(X2,X3)),X1) )
& ! [X5] :
( ? [X6] : pair_in_list(X0,X5,X6)
| ~ contains_slb(X0,X5) ) )
=> ( ? [X3,X2,X1] :
( ! [X4] : ~ pair_in_list(insert_slb(sK0,pair(X2,X3)),X1,X4)
& contains_slb(insert_slb(sK0,pair(X2,X3)),X1) )
& ! [X5] :
( ? [X6] : pair_in_list(sK0,X5,X6)
| ~ contains_slb(sK0,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
( ? [X3,X2,X1] :
( ! [X4] : ~ pair_in_list(insert_slb(sK0,pair(X2,X3)),X1,X4)
& contains_slb(insert_slb(sK0,pair(X2,X3)),X1) )
=> ( ! [X4] : ~ pair_in_list(insert_slb(sK0,pair(sK2,sK3)),sK1,X4)
& contains_slb(insert_slb(sK0,pair(sK2,sK3)),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X5] :
( ? [X6] : pair_in_list(sK0,X5,X6)
=> pair_in_list(sK0,X5,sK4(X5)) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
? [X0] :
( ? [X1,X2,X3] :
( ! [X4] : ~ pair_in_list(insert_slb(X0,pair(X2,X3)),X1,X4)
& contains_slb(insert_slb(X0,pair(X2,X3)),X1) )
& ! [X5] :
( ? [X6] : pair_in_list(X0,X5,X6)
| ~ contains_slb(X0,X5) ) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
? [X0] :
( ? [X3,X4,X5] :
( ! [X6] : ~ pair_in_list(insert_slb(X0,pair(X4,X5)),X3,X6)
& contains_slb(insert_slb(X0,pair(X4,X5)),X3) )
& ! [X1] :
( ? [X2] : pair_in_list(X0,X1,X2)
| ~ contains_slb(X0,X1) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( contains_slb(X0,X1)
=> ? [X2] : pair_in_list(X0,X1,X2) )
=> ! [X3,X4,X5] :
( contains_slb(insert_slb(X0,pair(X4,X5)),X3)
=> ? [X6] : pair_in_list(insert_slb(X0,pair(X4,X5)),X3,X6) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X0] :
( ! [X1] :
( contains_slb(X0,X1)
=> ? [X2] : pair_in_list(X0,X1,X2) )
=> ! [X3,X4,X5] :
( contains_slb(insert_slb(X0,pair(X4,X5)),X3)
=> ? [X6] : pair_in_list(insert_slb(X0,pair(X4,X5)),X3,X6) ) ),
file('/export/starexec/sandbox2/tmp/tmp.e5lqnSEu6s/Vampire---4.8_24831',l47_co) ).
fof(f60,plain,
~ spl5_2,
inference(avatar_split_clause,[],[f57,f52]) ).
fof(f52,plain,
( spl5_2
<=> contains_slb(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f57,plain,
~ contains_slb(sK0,sK1),
inference(resolution,[],[f56,f31]) ).
fof(f31,plain,
! [X5] :
( pair_in_list(sK0,X5,sK4(X5))
| ~ contains_slb(sK0,X5) ),
inference(cnf_transformation,[],[f26]) ).
fof(f56,plain,
! [X0] : ~ pair_in_list(sK0,sK1,X0),
inference(resolution,[],[f33,f39]) ).
fof(f39,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ~ pair_in_list(X0,X2,X4) ),
inference(cnf_transformation,[],[f30]) ).
fof(f55,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f46,f52,f48]) ).
fof(f46,plain,
( contains_slb(sK0,sK1)
| sK1 = sK2 ),
inference(resolution,[],[f32,f34]) ).
fof(f34,plain,
! [X2,X3,X0,X1] :
( ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| contains_slb(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( X1 != X2
& ~ contains_slb(X0,X2) ) )
& ( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( X1 != X2
& ~ contains_slb(X0,X2) ) )
& ( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
<=> ( X1 = X2
| contains_slb(X0,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.e5lqnSEu6s/Vampire---4.8_24831',ax21) ).
fof(f32,plain,
contains_slb(insert_slb(sK0,pair(sK2,sK3)),sK1),
inference(cnf_transformation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV411+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n027.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 21:13:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37 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.e5lqnSEu6s/Vampire---4.8_24831
% 0.60/0.77 % (24981)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)
% 0.60/0.77 % (24984)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)
% 0.60/0.77 % (24983)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.77 % (24985)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)
% 0.60/0.77 % (24982)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)
% 0.60/0.77 % (24986)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)
% 0.60/0.77 % (24987)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)
% 0.60/0.77 % (24988)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)
% 0.60/0.77 % (24981)Refutation not found, incomplete strategy% (24981)------------------------------
% 0.60/0.77 % (24981)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (24981)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (24981)Memory used [KB]: 1057
% 0.60/0.77 % (24981)Time elapsed: 0.003 s
% 0.60/0.77 % (24981)Instructions burned: 3 (million)
% 0.60/0.77 % (24985)Refutation not found, incomplete strategy% (24985)------------------------------
% 0.60/0.77 % (24985)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (24985)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (24981)------------------------------
% 0.60/0.77 % (24981)------------------------------
% 0.60/0.77 % (24985)Memory used [KB]: 1062
% 0.60/0.77 % (24985)Time elapsed: 0.003 s
% 0.60/0.77 % (24985)Instructions burned: 3 (million)
% 0.60/0.77 % (24988)Refutation not found, incomplete strategy% (24988)------------------------------
% 0.60/0.77 % (24988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (24988)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (24988)Memory used [KB]: 989
% 0.60/0.77 % (24988)Time elapsed: 0.003 s
% 0.60/0.77 % (24988)Instructions burned: 2 (million)
% 0.60/0.77 % (24984)Also succeeded, but the first one will report.
% 0.60/0.77 % (24986)First to succeed.
% 0.60/0.77 % (24988)------------------------------
% 0.60/0.77 % (24988)------------------------------
% 0.60/0.77 % (24985)------------------------------
% 0.60/0.77 % (24985)------------------------------
% 0.60/0.77 % (24983)Also succeeded, but the first one will report.
% 0.60/0.77 % (24986)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24980"
% 0.60/0.77 % (24987)Also succeeded, but the first one will report.
% 0.60/0.77 % (24982)Also succeeded, but the first one will report.
% 0.60/0.77 % (24986)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Theorem for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (24986)------------------------------
% 0.60/0.77 % (24986)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (24986)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (24986)Memory used [KB]: 1073
% 0.60/0.77 % (24986)Time elapsed: 0.004 s
% 0.60/0.77 % (24986)Instructions burned: 4 (million)
% 0.60/0.77 % (24980)Success in time 0.399 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------