TSTP Solution File: SET957+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET957+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n023.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 09:09:09 EDT 2024
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 49 ( 4 unt; 0 def)
% Number of atoms : 131 ( 28 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 126 ( 44 ~; 53 |; 16 &)
% ( 9 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 65 ( 50 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f165,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f85,f86,f93,f111,f112,f164]) ).
fof(f164,plain,
( ~ spl11_1
| spl11_3
| ~ spl11_5 ),
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f163,plain,
( $false
| ~ spl11_1
| spl11_3
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f162,f74]) ).
fof(f74,plain,
( ~ in(sK6(sK3,sK0),sK0)
| spl11_3 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl11_3
<=> in(sK6(sK3,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f162,plain,
( in(sK6(sK3,sK0),sK0)
| ~ spl11_1
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f160,f84]) ).
fof(f84,plain,
( in(sK6(sK3,sK0),sK3)
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl11_5
<=> in(sK6(sK3,sK0),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f160,plain,
( ~ in(sK6(sK3,sK0),sK3)
| in(sK6(sK3,sK0),sK0)
| ~ spl11_1 ),
inference(superposition,[],[f18,f60]) ).
fof(f60,plain,
( sK6(sK3,sK0) = ordered_pair(sK7(sK4,sK5,sK6(sK3,sK0)),sK8(sK4,sK5,sK6(sK3,sK0)))
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl11_1
<=> sK6(sK3,sK0) = ordered_pair(sK7(sK4,sK5,sK6(sK3,sK0)),sK8(sK4,sK5,sK6(sK3,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f18,plain,
! [X6,X7] :
( ~ in(ordered_pair(X6,X7),sK3)
| in(ordered_pair(X6,X7),sK0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
? [X0,X1,X2,X3,X4,X5] :
( X0 != X3
& ! [X6,X7] :
( in(ordered_pair(X6,X7),X0)
<=> in(ordered_pair(X6,X7),X3) )
& subset(X3,cartesian_product2(X4,X5))
& subset(X0,cartesian_product2(X1,X2)) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
? [X0,X1,X2,X3,X4,X5] :
( X0 != X3
& ! [X6,X7] :
( in(ordered_pair(X6,X7),X0)
<=> in(ordered_pair(X6,X7),X3) )
& subset(X3,cartesian_product2(X4,X5))
& subset(X0,cartesian_product2(X1,X2)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ! [X6,X7] :
( in(ordered_pair(X6,X7),X0)
<=> in(ordered_pair(X6,X7),X3) )
& subset(X3,cartesian_product2(X4,X5))
& subset(X0,cartesian_product2(X1,X2)) )
=> X0 = X3 ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( ! [X6,X7] :
( in(ordered_pair(X6,X7),X0)
<=> in(ordered_pair(X6,X7),X3) )
& subset(X3,cartesian_product2(X4,X5))
& subset(X0,cartesian_product2(X1,X2)) )
=> X0 = X3 ),
file('/export/starexec/sandbox2/tmp/tmp.Vr1cbUDrJK/Vampire---4.8_6816',t110_zfmisc_1) ).
fof(f112,plain,
( ~ spl11_5
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f94,f72,f82]) ).
fof(f94,plain,
( ~ in(sK6(sK3,sK0),sK3)
| ~ spl11_3 ),
inference(unit_resulting_resolution,[],[f22,f73,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ~ in(sK6(X0,X1),X0)
| ~ in(sK6(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.Vr1cbUDrJK/Vampire---4.8_6816',t2_tarski) ).
fof(f73,plain,
( in(sK6(sK3,sK0),sK0)
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f22,plain,
sK0 != sK3,
inference(cnf_transformation,[],[f14]) ).
fof(f111,plain,
( spl11_2
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f102,f72,f62]) ).
fof(f62,plain,
( spl11_2
<=> sK6(sK3,sK0) = ordered_pair(sK7(sK1,sK2,sK6(sK3,sK0)),sK8(sK1,sK2,sK6(sK3,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f102,plain,
( sK6(sK3,sK0) = ordered_pair(sK7(sK1,sK2,sK6(sK3,sK0)),sK8(sK1,sK2,sK6(sK3,sK0)))
| ~ spl11_3 ),
inference(unit_resulting_resolution,[],[f20,f73,f29]) ).
fof(f29,plain,
! [X2,X3,X0,X1] :
( ~ subset(X0,cartesian_product2(X1,X2))
| ~ in(X3,X0)
| ordered_pair(sK7(X1,X2,X3),sK8(X1,X2,X3)) = X3 ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( ordered_pair(X4,X5) = X3
& in(X5,X2)
& in(X4,X1) )
| ~ in(X3,X0)
| ~ subset(X0,cartesian_product2(X1,X2)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
~ ( ! [X4,X5] :
~ ( ordered_pair(X4,X5) = X3
& in(X5,X2)
& in(X4,X1) )
& in(X3,X0)
& subset(X0,cartesian_product2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.Vr1cbUDrJK/Vampire---4.8_6816',t103_zfmisc_1) ).
fof(f20,plain,
subset(sK0,cartesian_product2(sK1,sK2)),
inference(cnf_transformation,[],[f14]) ).
fof(f93,plain,
( spl11_3
| spl11_5 ),
inference(avatar_contradiction_clause,[],[f92]) ).
fof(f92,plain,
( $false
| spl11_3
| spl11_5 ),
inference(subsumption_resolution,[],[f91,f22]) ).
fof(f91,plain,
( sK0 = sK3
| spl11_3
| spl11_5 ),
inference(subsumption_resolution,[],[f88,f83]) ).
fof(f83,plain,
( ~ in(sK6(sK3,sK0),sK3)
| spl11_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f88,plain,
( in(sK6(sK3,sK0),sK3)
| sK0 = sK3
| spl11_3 ),
inference(resolution,[],[f74,f23]) ).
fof(f23,plain,
! [X0,X1] :
( in(sK6(X0,X1),X1)
| in(sK6(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f86,plain,
( spl11_3
| ~ spl11_5
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f69,f62,f82,f72]) ).
fof(f69,plain,
( ~ in(sK6(sK3,sK0),sK3)
| in(sK6(sK3,sK0),sK0)
| ~ spl11_2 ),
inference(superposition,[],[f18,f64]) ).
fof(f64,plain,
( sK6(sK3,sK0) = ordered_pair(sK7(sK1,sK2,sK6(sK3,sK0)),sK8(sK1,sK2,sK6(sK3,sK0)))
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f85,plain,
( ~ spl11_3
| spl11_5
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f68,f62,f82,f72]) ).
fof(f68,plain,
( in(sK6(sK3,sK0),sK3)
| ~ in(sK6(sK3,sK0),sK0)
| ~ spl11_2 ),
inference(superposition,[],[f19,f64]) ).
fof(f19,plain,
! [X6,X7] :
( in(ordered_pair(X6,X7),sK3)
| ~ in(ordered_pair(X6,X7),sK0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f65,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f56,f62,f58]) ).
fof(f56,plain,
( sK6(sK3,sK0) = ordered_pair(sK7(sK1,sK2,sK6(sK3,sK0)),sK8(sK1,sK2,sK6(sK3,sK0)))
| sK6(sK3,sK0) = ordered_pair(sK7(sK4,sK5,sK6(sK3,sK0)),sK8(sK4,sK5,sK6(sK3,sK0))) ),
inference(subsumption_resolution,[],[f53,f22]) ).
fof(f53,plain,
( sK6(sK3,sK0) = ordered_pair(sK7(sK1,sK2,sK6(sK3,sK0)),sK8(sK1,sK2,sK6(sK3,sK0)))
| sK0 = sK3
| sK6(sK3,sK0) = ordered_pair(sK7(sK4,sK5,sK6(sK3,sK0)),sK8(sK4,sK5,sK6(sK3,sK0))) ),
inference(resolution,[],[f45,f38]) ).
fof(f38,plain,
! [X0] :
( ~ in(X0,sK3)
| ordered_pair(sK7(sK4,sK5,X0),sK8(sK4,sK5,X0)) = X0 ),
inference(resolution,[],[f21,f29]) ).
fof(f21,plain,
subset(sK3,cartesian_product2(sK4,sK5)),
inference(cnf_transformation,[],[f14]) ).
fof(f45,plain,
! [X0] :
( in(sK6(X0,sK0),X0)
| sK6(X0,sK0) = ordered_pair(sK7(sK1,sK2,sK6(X0,sK0)),sK8(sK1,sK2,sK6(X0,sK0)))
| sK0 = X0 ),
inference(resolution,[],[f35,f23]) ).
fof(f35,plain,
! [X0] :
( ~ in(X0,sK0)
| ordered_pair(sK7(sK1,sK2,X0),sK8(sK1,sK2,X0)) = X0 ),
inference(resolution,[],[f20,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET957+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.13/0.15 % 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 : n023.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 16:35:23 EDT 2024
% 0.20/0.36 % CPUTime :
% 0.20/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.20/0.36 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.Vr1cbUDrJK/Vampire---4.8_6816
% 0.57/0.76 % (7025)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)
% 0.57/0.76 % (7026)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)
% 0.57/0.76 % (7019)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)
% 0.57/0.76 % (7020)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)
% 0.57/0.76 % (7021)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76 % (7022)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)
% 0.57/0.76 % (7023)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)
% 0.57/0.76 % (7024)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)
% 0.57/0.76 % (7026)Refutation not found, incomplete strategy% (7026)------------------------------
% 0.57/0.76 % (7026)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (7026)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (7026)Memory used [KB]: 1039
% 0.57/0.76 % (7026)Time elapsed: 0.002 s
% 0.57/0.76 % (7026)Instructions burned: 3 (million)
% 0.57/0.76 % (7026)------------------------------
% 0.57/0.76 % (7026)------------------------------
% 0.57/0.76 % (7022)Refutation not found, incomplete strategy% (7022)------------------------------
% 0.57/0.76 % (7022)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (7022)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (7022)Memory used [KB]: 971
% 0.57/0.76 % (7022)Time elapsed: 0.003 s
% 0.57/0.76 % (7022)Instructions burned: 3 (million)
% 0.57/0.76 % (7023)Refutation not found, incomplete strategy% (7023)------------------------------
% 0.57/0.76 % (7023)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (7025)First to succeed.
% 0.57/0.76 % (7023)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (7023)Memory used [KB]: 1040
% 0.57/0.76 % (7023)Time elapsed: 0.003 s
% 0.57/0.76 % (7023)Instructions burned: 3 (million)
% 0.57/0.76 % (7019)Refutation not found, incomplete strategy% (7019)------------------------------
% 0.57/0.76 % (7019)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (7022)------------------------------
% 0.57/0.76 % (7022)------------------------------
% 0.57/0.76 % (7019)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (7019)Memory used [KB]: 988
% 0.57/0.76 % (7019)Time elapsed: 0.004 s
% 0.57/0.76 % (7019)Instructions burned: 3 (million)
% 0.57/0.76 % (7023)------------------------------
% 0.57/0.76 % (7023)------------------------------
% 0.57/0.76 % (7019)------------------------------
% 0.57/0.76 % (7019)------------------------------
% 0.57/0.76 % (7024)Refutation not found, incomplete strategy% (7024)------------------------------
% 0.57/0.76 % (7024)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (7024)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (7024)Memory used [KB]: 1042
% 0.57/0.76 % (7024)Time elapsed: 0.004 s
% 0.57/0.76 % (7024)Instructions burned: 4 (million)
% 0.57/0.76 % (7025)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6999"
% 0.57/0.76 % (7024)------------------------------
% 0.57/0.76 % (7024)------------------------------
% 0.57/0.76 % (7029)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)
% 0.57/0.76 % (7025)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Theorem for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.77 % (7025)------------------------------
% 0.57/0.77 % (7025)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (7025)Termination reason: Refutation
% 0.57/0.77
% 0.57/0.77 % (7025)Memory used [KB]: 1076
% 0.57/0.77 % (7025)Time elapsed: 0.005 s
% 0.57/0.77 % (7025)Instructions burned: 8 (million)
% 0.57/0.77 % (6999)Success in time 0.383 s
% 0.57/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------