TSTP Solution File: SET959+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET959+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.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 09:09:10 EDT 2024
% Result : Theorem 0.47s 0.64s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 2 unt; 0 def)
% Number of atoms : 122 ( 36 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 130 ( 50 ~; 47 |; 18 &)
% ( 10 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 67 ( 54 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f134,plain,
$false,
inference(avatar_sat_refutation,[],[f48,f68,f93,f113,f116,f132,f133]) ).
fof(f133,plain,
( ~ spl9_4
| spl9_5
| ~ spl9_1 ),
inference(avatar_split_clause,[],[f121,f41,f64,f59]) ).
fof(f59,plain,
( spl9_4
<=> in(sK6(sK0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f64,plain,
( spl9_5
<=> in(sK6(sK0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f41,plain,
( spl9_1
<=> sK6(sK0,sK1) = ordered_pair(sK2(sK6(sK0,sK1)),sK3(sK6(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f121,plain,
( in(sK6(sK0,sK1),sK1)
| ~ in(sK6(sK0,sK1),sK0)
| ~ spl9_1 ),
inference(superposition,[],[f16,f43]) ).
fof(f43,plain,
( sK6(sK0,sK1) = ordered_pair(sK2(sK6(sK0,sK1)),sK3(sK6(sK0,sK1)))
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f16,plain,
! [X2,X3] :
( in(ordered_pair(X2,X3),sK1)
| ~ in(ordered_pair(X2,X3),sK0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
? [X0,X1] :
( X0 != X1
& ! [X2,X3] :
( in(ordered_pair(X2,X3),X0)
<=> in(ordered_pair(X2,X3),X1) )
& ! [X4] :
( ? [X5,X6] : ordered_pair(X5,X6) = X4
| ~ in(X4,X1) )
& ! [X7] :
( ? [X8,X9] : ordered_pair(X8,X9) = X7
| ~ in(X7,X0) ) ),
inference(flattening,[],[f11]) ).
fof(f11,plain,
? [X0,X1] :
( X0 != X1
& ! [X2,X3] :
( in(ordered_pair(X2,X3),X0)
<=> in(ordered_pair(X2,X3),X1) )
& ! [X4] :
( ? [X5,X6] : ordered_pair(X5,X6) = X4
| ~ in(X4,X1) )
& ! [X7] :
( ? [X8,X9] : ordered_pair(X8,X9) = X7
| ~ in(X7,X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ! [X0,X1] :
( ( ! [X2,X3] :
( in(ordered_pair(X2,X3),X0)
<=> in(ordered_pair(X2,X3),X1) )
& ! [X4] :
~ ( ! [X5,X6] : ordered_pair(X5,X6) != X4
& in(X4,X1) )
& ! [X7] :
~ ( ! [X8,X9] : ordered_pair(X8,X9) != X7
& in(X7,X0) ) )
=> X0 = X1 ),
inference(rectify,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1] :
( ( ! [X2,X3] :
( in(ordered_pair(X2,X3),X0)
<=> in(ordered_pair(X2,X3),X1) )
& ! [X2] :
~ ( ! [X3,X4] : ordered_pair(X3,X4) != X2
& in(X2,X1) )
& ! [X2] :
~ ( ! [X3,X4] : ordered_pair(X3,X4) != X2
& in(X2,X0) ) )
=> X0 = X1 ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1] :
( ( ! [X2,X3] :
( in(ordered_pair(X2,X3),X0)
<=> in(ordered_pair(X2,X3),X1) )
& ! [X2] :
~ ( ! [X3,X4] : ordered_pair(X3,X4) != X2
& in(X2,X1) )
& ! [X2] :
~ ( ! [X3,X4] : ordered_pair(X3,X4) != X2
& in(X2,X0) ) )
=> X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.gbT68jelcG/Vampire---4.8_25717',t112_zfmisc_1) ).
fof(f132,plain,
( spl9_4
| ~ spl9_5
| ~ spl9_1 ),
inference(avatar_split_clause,[],[f122,f41,f64,f59]) ).
fof(f122,plain,
( ~ in(sK6(sK0,sK1),sK1)
| in(sK6(sK0,sK1),sK0)
| ~ spl9_1 ),
inference(superposition,[],[f15,f43]) ).
fof(f15,plain,
! [X2,X3] :
( ~ in(ordered_pair(X2,X3),sK1)
| in(ordered_pair(X2,X3),sK0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f116,plain,
( ~ spl9_5
| ~ spl9_4 ),
inference(avatar_split_clause,[],[f100,f59,f64]) ).
fof(f100,plain,
( ~ in(sK6(sK0,sK1),sK1)
| ~ spl9_4 ),
inference(unit_resulting_resolution,[],[f19,f60,f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ in(sK6(X0,X1),X0)
| ~ in(sK6(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.gbT68jelcG/Vampire---4.8_25717',t2_tarski) ).
fof(f60,plain,
( in(sK6(sK0,sK1),sK0)
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f19,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f12]) ).
fof(f113,plain,
( spl9_1
| ~ spl9_4 ),
inference(avatar_split_clause,[],[f105,f59,f41]) ).
fof(f105,plain,
( sK6(sK0,sK1) = ordered_pair(sK2(sK6(sK0,sK1)),sK3(sK6(sK0,sK1)))
| ~ spl9_4 ),
inference(resolution,[],[f60,f18]) ).
fof(f18,plain,
! [X7] :
( ~ in(X7,sK0)
| ordered_pair(sK2(X7),sK3(X7)) = X7 ),
inference(cnf_transformation,[],[f12]) ).
fof(f93,plain,
( spl9_4
| spl9_5 ),
inference(avatar_contradiction_clause,[],[f92]) ).
fof(f92,plain,
( $false
| spl9_4
| spl9_5 ),
inference(subsumption_resolution,[],[f91,f19]) ).
fof(f91,plain,
( sK0 = sK1
| spl9_4
| spl9_5 ),
inference(subsumption_resolution,[],[f88,f65]) ).
fof(f65,plain,
( ~ in(sK6(sK0,sK1),sK1)
| spl9_5 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f88,plain,
( in(sK6(sK0,sK1),sK1)
| sK0 = sK1
| spl9_4 ),
inference(resolution,[],[f61,f20]) ).
fof(f20,plain,
! [X0,X1] :
( in(sK6(X0,X1),X1)
| in(sK6(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f13]) ).
fof(f61,plain,
( ~ in(sK6(sK0,sK1),sK0)
| spl9_4 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f68,plain,
( spl9_4
| ~ spl9_5
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f52,f45,f64,f59]) ).
fof(f45,plain,
( spl9_2
<=> sK6(sK0,sK1) = ordered_pair(sK4(sK6(sK0,sK1)),sK5(sK6(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f52,plain,
( ~ in(sK6(sK0,sK1),sK1)
| in(sK6(sK0,sK1),sK0)
| ~ spl9_2 ),
inference(superposition,[],[f15,f47]) ).
fof(f47,plain,
( sK6(sK0,sK1) = ordered_pair(sK4(sK6(sK0,sK1)),sK5(sK6(sK0,sK1)))
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f39,f45,f41]) ).
fof(f39,plain,
( sK6(sK0,sK1) = ordered_pair(sK4(sK6(sK0,sK1)),sK5(sK6(sK0,sK1)))
| sK6(sK0,sK1) = ordered_pair(sK2(sK6(sK0,sK1)),sK3(sK6(sK0,sK1))) ),
inference(subsumption_resolution,[],[f36,f19]) ).
fof(f36,plain,
( sK6(sK0,sK1) = ordered_pair(sK4(sK6(sK0,sK1)),sK5(sK6(sK0,sK1)))
| sK0 = sK1
| sK6(sK0,sK1) = ordered_pair(sK2(sK6(sK0,sK1)),sK3(sK6(sK0,sK1))) ),
inference(resolution,[],[f28,f18]) ).
fof(f28,plain,
! [X0] :
( in(sK6(X0,sK1),X0)
| sK6(X0,sK1) = ordered_pair(sK4(sK6(X0,sK1)),sK5(sK6(X0,sK1)))
| sK1 = X0 ),
inference(resolution,[],[f17,f20]) ).
fof(f17,plain,
! [X4] :
( ~ in(X4,sK1)
| ordered_pair(sK4(X4),sK5(X4)) = X4 ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SET959+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.05/0.10 % 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
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Fri May 3 16:46:22 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.10/0.29 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.29 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.gbT68jelcG/Vampire---4.8_25717
% 0.47/0.64 % (26126)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)
% 0.47/0.64 % (26122)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.47/0.64 % (26121)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)
% 0.47/0.64 % (26120)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)
% 0.47/0.64 % (26125)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)
% 0.47/0.64 % (26123)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)
% 0.47/0.64 % (26124)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)
% 0.47/0.64 % (26127)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)
% 0.47/0.64 % (26123)Refutation not found, incomplete strategy% (26123)------------------------------
% 0.47/0.64 % (26123)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.64 % (26126)First to succeed.
% 0.47/0.64 % (26123)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64
% 0.47/0.64 % (26123)Memory used [KB]: 956
% 0.47/0.64 % (26123)Time elapsed: 0.003 s
% 0.47/0.64 % (26123)Instructions burned: 2 (million)
% 0.47/0.64 % (26120)Refutation not found, incomplete strategy% (26120)------------------------------
% 0.47/0.64 % (26120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.64 % (26120)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64
% 0.47/0.64 % (26123)------------------------------
% 0.47/0.64 % (26123)------------------------------
% 0.47/0.64 % (26120)Memory used [KB]: 987
% 0.47/0.64 % (26120)Time elapsed: 0.003 s
% 0.47/0.64 % (26120)Instructions burned: 3 (million)
% 0.47/0.64 % (26126)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25968"
% 0.47/0.64 % (26124)Refutation not found, incomplete strategy% (26124)------------------------------
% 0.47/0.64 % (26124)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.64 % (26124)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64
% 0.47/0.64 % (26127)Refutation not found, incomplete strategy% (26127)------------------------------
% 0.47/0.64 % (26127)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.64 % (26127)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64
% 0.47/0.64 % (26127)Memory used [KB]: 973
% 0.47/0.64 % (26127)Time elapsed: 0.003 s
% 0.47/0.64 % (26127)Instructions burned: 2 (million)
% 0.47/0.64 % (26124)Memory used [KB]: 975
% 0.47/0.64 % (26124)Time elapsed: 0.003 s
% 0.47/0.64 % (26124)Instructions burned: 3 (million)
% 0.47/0.64 % (26120)------------------------------
% 0.47/0.64 % (26120)------------------------------
% 0.47/0.64 % (26127)------------------------------
% 0.47/0.64 % (26127)------------------------------
% 0.47/0.64 % (26124)------------------------------
% 0.47/0.64 % (26124)------------------------------
% 0.47/0.64 % (26126)Refutation found. Thanks to Tanya!
% 0.47/0.64 % SZS status Theorem for Vampire---4
% 0.47/0.64 % SZS output start Proof for Vampire---4
% See solution above
% 0.47/0.64 % (26126)------------------------------
% 0.47/0.64 % (26126)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.64 % (26126)Termination reason: Refutation
% 0.47/0.64
% 0.47/0.64 % (26126)Memory used [KB]: 1070
% 0.47/0.64 % (26126)Time elapsed: 0.004 s
% 0.47/0.64 % (26126)Instructions burned: 7 (million)
% 0.47/0.64 % (25968)Success in time 0.342 s
% 0.47/0.64 % Vampire---4.8 exiting
%------------------------------------------------------------------------------