TSTP Solution File: SWV370+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV370+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 04:03:42 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 63 ( 5 unt; 0 def)
% Number of atoms : 142 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 130 ( 51 ~; 62 |; 1 &)
% ( 13 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 91 ( 85 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f189,plain,
$false,
inference(avatar_sat_refutation,[],[f92,f94,f105,f129,f131,f145,f151,f172,f188]) ).
fof(f188,plain,
( spl6_1
| ~ spl6_4 ),
inference(avatar_contradiction_clause,[],[f187]) ).
fof(f187,plain,
( $false
| spl6_1
| ~ spl6_4 ),
inference(subsumption_resolution,[],[f183,f81]) ).
fof(f81,plain,
! [X2,X3,X0] : contains_slb(insert_slb(X0,pair(X2,X3)),X2),
inference(equality_resolution,[],[f72]) ).
fof(f72,plain,
! [X2,X3,X0,X1] :
( X1 != X2
| contains_slb(insert_slb(X0,pair(X1,X3)),X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2,X3] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
<=> ( X1 = X2
| contains_slb(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.wOYcSOUcOc/Vampire---4.8_18279',ax21) ).
fof(f183,plain,
( ~ contains_slb(insert_slb(sK0,pair(sK3,sK4)),sK3)
| spl6_1
| ~ spl6_4 ),
inference(resolution,[],[f174,f73]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2,X3] :
( contains_cpq(triple(X0,X1,X2),X3)
<=> contains_slb(X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.wOYcSOUcOc/Vampire---4.8_18279',ax39) ).
fof(f174,plain,
( ~ contains_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2),sK3)
| spl6_1
| ~ spl6_4 ),
inference(forward_demodulation,[],[f87,f104]) ).
fof(f104,plain,
( sK3 = sK5
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl6_4
<=> sK3 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f87,plain,
( ~ contains_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2),sK5)
| spl6_1 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl6_1
<=> contains_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f172,plain,
( ~ spl6_5
| spl6_3 ),
inference(avatar_split_clause,[],[f162,f98,f142]) ).
fof(f142,plain,
( spl6_5
<=> contains_slb(sK0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f98,plain,
( spl6_3
<=> contains_pq(i(triple(sK1,sK0,sK2)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f162,plain,
( ~ contains_slb(sK0,sK5)
| spl6_3 ),
inference(unit_resulting_resolution,[],[f157,f73]) ).
fof(f157,plain,
( ~ contains_cpq(triple(sK1,sK0,sK2),sK5)
| spl6_3 ),
inference(unit_resulting_resolution,[],[f99,f69]) ).
fof(f69,plain,
! [X2,X3,X1] :
( contains_pq(i(triple(X1,sK0,X2)),X3)
| ~ contains_cpq(triple(X1,sK0,X2),X3) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
? [X0] :
( ? [X4,X5,X6,X7,X8] :
( contains_cpq(triple(X4,insert_slb(X0,pair(X6,X7)),X5),X8)
<~> contains_pq(i(triple(X4,insert_slb(X0,pair(X6,X7)),X5)),X8) )
& ! [X1,X2,X3] :
( contains_cpq(triple(X1,X0,X2),X3)
<=> contains_pq(i(triple(X1,X0,X2)),X3) ) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,negated_conjecture,
~ ! [X0] :
( ! [X1,X2,X3] :
( contains_cpq(triple(X1,X0,X2),X3)
<=> contains_pq(i(triple(X1,X0,X2)),X3) )
=> ! [X4,X5,X6,X7,X8] :
( contains_cpq(triple(X4,insert_slb(X0,pair(X6,X7)),X5),X8)
<=> contains_pq(i(triple(X4,insert_slb(X0,pair(X6,X7)),X5)),X8) ) ),
inference(negated_conjecture,[],[f63]) ).
fof(f63,conjecture,
! [X0] :
( ! [X1,X2,X3] :
( contains_cpq(triple(X1,X0,X2),X3)
<=> contains_pq(i(triple(X1,X0,X2)),X3) )
=> ! [X4,X5,X6,X7,X8] :
( contains_cpq(triple(X4,insert_slb(X0,pair(X6,X7)),X5),X8)
<=> contains_pq(i(triple(X4,insert_slb(X0,pair(X6,X7)),X5)),X8) ) ),
file('/export/starexec/sandbox/tmp/tmp.wOYcSOUcOc/Vampire---4.8_18279',l6_co) ).
fof(f99,plain,
( ~ contains_pq(i(triple(sK1,sK0,sK2)),sK5)
| spl6_3 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f151,plain,
( spl6_2
| ~ spl6_4 ),
inference(avatar_contradiction_clause,[],[f150]) ).
fof(f150,plain,
( $false
| spl6_2
| ~ spl6_4 ),
inference(subsumption_resolution,[],[f148,f82]) ).
fof(f82,plain,
! [X2,X0] : contains_pq(insert_pq(X0,X2),X2),
inference(equality_resolution,[],[f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( X1 != X2
| contains_pq(insert_pq(X0,X1),X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( contains_pq(insert_pq(X0,X1),X2)
<=> ( X1 = X2
| contains_pq(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.wOYcSOUcOc/Vampire---4.8_18279',ax9) ).
fof(f148,plain,
( ~ contains_pq(insert_pq(i(triple(sK1,sK0,sK2)),sK3),sK3)
| spl6_2
| ~ spl6_4 ),
inference(superposition,[],[f91,f104]) ).
fof(f91,plain,
( ~ contains_pq(insert_pq(i(triple(sK1,sK0,sK2)),sK3),sK5)
| spl6_2 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl6_2
<=> contains_pq(insert_pq(i(triple(sK1,sK0,sK2)),sK3),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f145,plain,
( spl6_5
| spl6_4
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f140,f85,f102,f142]) ).
fof(f140,plain,
( sK3 = sK5
| contains_slb(sK0,sK5)
| ~ spl6_1 ),
inference(resolution,[],[f136,f70]) ).
fof(f70,plain,
! [X2,X3,X0,X1] :
( ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| X1 = X2
| contains_slb(X0,X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f136,plain,
( contains_slb(insert_slb(sK0,pair(sK3,sK4)),sK5)
| ~ spl6_1 ),
inference(unit_resulting_resolution,[],[f86,f74]) ).
fof(f74,plain,
! [X2,X3,X0,X1] :
( ~ contains_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f39]) ).
fof(f86,plain,
( contains_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2),sK5)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f131,plain,
( spl6_2
| ~ spl6_3 ),
inference(avatar_contradiction_clause,[],[f130]) ).
fof(f130,plain,
( $false
| spl6_2
| ~ spl6_3 ),
inference(subsumption_resolution,[],[f91,f106]) ).
fof(f106,plain,
( ! [X0] : contains_pq(insert_pq(i(triple(sK1,sK0,sK2)),X0),sK5)
| ~ spl6_3 ),
inference(unit_resulting_resolution,[],[f100,f79]) ).
fof(f79,plain,
! [X2,X0,X1] :
( contains_pq(insert_pq(X0,X1),X2)
| ~ contains_pq(X0,X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f100,plain,
( contains_pq(i(triple(sK1,sK0,sK2)),sK5)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f129,plain,
( spl6_1
| ~ spl6_3 ),
inference(avatar_contradiction_clause,[],[f128]) ).
fof(f128,plain,
( $false
| spl6_1
| ~ spl6_3 ),
inference(subsumption_resolution,[],[f124,f115]) ).
fof(f115,plain,
( ! [X0,X1] : ~ contains_cpq(triple(X0,sK0,X1),sK5)
| spl6_1 ),
inference(unit_resulting_resolution,[],[f111,f74]) ).
fof(f111,plain,
( ~ contains_slb(sK0,sK5)
| spl6_1 ),
inference(unit_resulting_resolution,[],[f109,f71]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ~ contains_slb(X0,X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f109,plain,
( ~ contains_slb(insert_slb(sK0,pair(sK3,sK4)),sK5)
| spl6_1 ),
inference(unit_resulting_resolution,[],[f87,f73]) ).
fof(f124,plain,
( contains_cpq(triple(sK1,sK0,sK2),sK5)
| ~ spl6_3 ),
inference(resolution,[],[f68,f100]) ).
fof(f68,plain,
! [X2,X3,X1] :
( ~ contains_pq(i(triple(X1,sK0,X2)),X3)
| contains_cpq(triple(X1,sK0,X2),X3) ),
inference(cnf_transformation,[],[f65]) ).
fof(f105,plain,
( spl6_3
| spl6_4
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f96,f89,f102,f98]) ).
fof(f96,plain,
( sK3 = sK5
| contains_pq(i(triple(sK1,sK0,sK2)),sK5)
| ~ spl6_2 ),
inference(resolution,[],[f90,f78]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ contains_pq(insert_pq(X0,X1),X2)
| X1 = X2
| contains_pq(X0,X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f90,plain,
( contains_pq(insert_pq(i(triple(sK1,sK0,sK2)),sK3),sK5)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f94,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f93,f89,f85]) ).
fof(f93,plain,
( contains_pq(insert_pq(i(triple(sK1,sK0,sK2)),sK3),sK5)
| contains_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2),sK5) ),
inference(forward_demodulation,[],[f66,f75]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0,X1,X2,X3,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
file('/export/starexec/sandbox/tmp/tmp.wOYcSOUcOc/Vampire---4.8_18279',ax55) ).
fof(f66,plain,
( contains_pq(i(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2)),sK5)
| contains_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2),sK5) ),
inference(cnf_transformation,[],[f65]) ).
fof(f92,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f83,f89,f85]) ).
fof(f83,plain,
( ~ contains_pq(insert_pq(i(triple(sK1,sK0,sK2)),sK3),sK5)
| ~ contains_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2),sK5) ),
inference(forward_demodulation,[],[f67,f75]) ).
fof(f67,plain,
( ~ contains_pq(i(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2)),sK5)
| ~ contains_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2),sK5) ),
inference(cnf_transformation,[],[f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV370+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n024.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 : Tue Apr 30 18:29:21 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.wOYcSOUcOc/Vampire---4.8_18279
% 0.56/0.74 % (18512)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 % (18513)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 % (18506)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 % (18509)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 % (18508)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 % (18507)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 % (18510)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 % (18511)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 % (18513)Refutation not found, incomplete strategy% (18513)------------------------------
% 0.56/0.74 % (18513)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (18513)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (18513)Memory used [KB]: 1099
% 0.56/0.74 % (18513)Time elapsed: 0.004 s
% 0.56/0.74 % (18513)Instructions burned: 3 (million)
% 0.56/0.74 % (18513)------------------------------
% 0.56/0.74 % (18513)------------------------------
% 0.56/0.74 % (18509)Refutation not found, incomplete strategy% (18509)------------------------------
% 0.56/0.74 % (18509)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (18509)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (18509)Memory used [KB]: 1086
% 0.56/0.74 % (18509)Time elapsed: 0.003 s
% 0.56/0.74 % (18509)Instructions burned: 3 (million)
% 0.56/0.74 % (18509)------------------------------
% 0.56/0.74 % (18509)------------------------------
% 0.56/0.74 % (18506)Refutation not found, incomplete strategy% (18506)------------------------------
% 0.56/0.74 % (18506)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (18506)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (18512)First to succeed.
% 0.56/0.74 % (18506)Memory used [KB]: 1115
% 0.56/0.74 % (18506)Time elapsed: 0.004 s
% 0.56/0.74 % (18506)Instructions burned: 4 (million)
% 0.56/0.74 % (18506)------------------------------
% 0.56/0.74 % (18506)------------------------------
% 0.56/0.74 % (18511)Also succeeded, but the first one will report.
% 0.56/0.74 % (18510)Refutation not found, incomplete strategy% (18510)------------------------------
% 0.56/0.74 % (18510)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (18510)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (18510)Memory used [KB]: 1137
% 0.56/0.75 % (18510)Time elapsed: 0.005 s
% 0.56/0.75 % (18510)Instructions burned: 6 (million)
% 0.56/0.75 % (18512)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 % (18512)------------------------------
% 0.56/0.75 % (18512)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (18512)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (18512)Memory used [KB]: 1129
% 0.56/0.75 % (18512)Time elapsed: 0.004 s
% 0.56/0.75 % (18512)Instructions burned: 8 (million)
% 0.56/0.75 % (18512)------------------------------
% 0.56/0.75 % (18512)------------------------------
% 0.56/0.75 % (18502)Success in time 0.378 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------