TSTP Solution File: SET580+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET580+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : 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 03:48:07 EDT 2024
% Result : Theorem 0.59s 0.80s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 62 ( 3 unt; 0 def)
% Number of atoms : 196 ( 2 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 223 ( 89 ~; 99 |; 21 &)
% ( 11 <=>; 1 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 55 ( 46 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98,plain,
$false,
inference(avatar_sat_refutation,[],[f57,f58,f59,f60,f78,f81,f82,f87,f90,f91,f95,f96,f97]) ).
fof(f97,plain,
( ~ spl4_2
| spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f92,f71,f54,f50]) ).
fof(f50,plain,
( spl4_2
<=> member(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f54,plain,
( spl4_3
<=> member(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f71,plain,
( spl4_4
<=> member(sK1,difference(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f92,plain,
( member(sK1,sK2)
| ~ member(sK1,sK3)
| spl4_4 ),
inference(resolution,[],[f72,f26]) ).
fof(f26,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( ~ member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wDOMcjEgh6/Vampire---4.8_27888',difference_defn) ).
fof(f72,plain,
( ~ member(sK1,difference(sK3,sK2))
| spl4_4 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f96,plain,
( spl4_3
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f94,f75,f54]) ).
fof(f75,plain,
( spl4_5
<=> member(sK1,difference(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f94,plain,
( member(sK1,sK2)
| ~ spl4_5 ),
inference(resolution,[],[f77,f24]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f77,plain,
( member(sK1,difference(sK2,sK3))
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f95,plain,
( ~ spl4_2
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f93,f75,f50]) ).
fof(f93,plain,
( ~ member(sK1,sK3)
| ~ spl4_5 ),
inference(resolution,[],[f77,f25]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f91,plain,
( spl4_2
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f89,f71,f50]) ).
fof(f89,plain,
( member(sK1,sK3)
| ~ spl4_4 ),
inference(resolution,[],[f73,f24]) ).
fof(f73,plain,
( member(sK1,difference(sK3,sK2))
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f90,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f88,f71,f54]) ).
fof(f88,plain,
( ~ member(sK1,sK2)
| ~ spl4_4 ),
inference(resolution,[],[f73,f25]) ).
fof(f87,plain,
( ~ spl4_3
| spl4_2
| spl4_5 ),
inference(avatar_split_clause,[],[f84,f75,f50,f54]) ).
fof(f84,plain,
( member(sK1,sK3)
| ~ member(sK1,sK2)
| spl4_5 ),
inference(resolution,[],[f26,f76]) ).
fof(f76,plain,
( ~ member(sK1,difference(sK2,sK3))
| spl4_5 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f82,plain,
( ~ spl4_5
| spl4_1 ),
inference(avatar_split_clause,[],[f80,f46,f75]) ).
fof(f46,plain,
( spl4_1
<=> member(sK1,union(difference(sK2,sK3),difference(sK3,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f80,plain,
( ~ member(sK1,difference(sK2,sK3))
| spl4_1 ),
inference(resolution,[],[f48,f22]) ).
fof(f22,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wDOMcjEgh6/Vampire---4.8_27888',union_defn) ).
fof(f48,plain,
( ~ member(sK1,union(difference(sK2,sK3),difference(sK3,sK2)))
| spl4_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f81,plain,
( ~ spl4_4
| spl4_1 ),
inference(avatar_split_clause,[],[f79,f46,f71]) ).
fof(f79,plain,
( ~ member(sK1,difference(sK3,sK2))
| spl4_1 ),
inference(resolution,[],[f48,f23]) ).
fof(f23,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f78,plain,
( spl4_4
| spl4_5
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f65,f46,f75,f71]) ).
fof(f65,plain,
( member(sK1,difference(sK2,sK3))
| member(sK1,difference(sK3,sK2))
| ~ spl4_1 ),
inference(resolution,[],[f21,f47]) ).
fof(f47,plain,
( member(sK1,union(difference(sK2,sK3),difference(sK3,sK2)))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f60,plain,
( spl4_1
| spl4_3
| spl4_2 ),
inference(avatar_split_clause,[],[f42,f50,f54,f46]) ).
fof(f42,plain,
( member(sK1,sK3)
| member(sK1,sK2)
| member(sK1,union(difference(sK2,sK3),difference(sK3,sK2))) ),
inference(definition_unfolding,[],[f34,f27]) ).
fof(f27,plain,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
file('/export/starexec/sandbox2/tmp/tmp.wDOMcjEgh6/Vampire---4.8_27888',symmetric_difference_defn) ).
fof(f34,plain,
( member(sK1,sK3)
| member(sK1,sK2)
| member(sK1,symmetric_difference(sK2,sK3)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( ( ( member(sK1,sK2)
| ~ member(sK1,sK3) )
& ( member(sK1,sK3)
| ~ member(sK1,sK2) ) )
| ~ member(sK1,symmetric_difference(sK2,sK3)) )
& ( ( ( ~ member(sK1,sK3)
| ~ member(sK1,sK2) )
& ( member(sK1,sK3)
| member(sK1,sK2) ) )
| member(sK1,symmetric_difference(sK2,sK3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f18,f19]) ).
fof(f19,plain,
( ? [X0,X1,X2] :
( ( ( ( member(X0,X1)
| ~ member(X0,X2) )
& ( member(X0,X2)
| ~ member(X0,X1) ) )
| ~ member(X0,symmetric_difference(X1,X2)) )
& ( ( ( ~ member(X0,X2)
| ~ member(X0,X1) )
& ( member(X0,X2)
| member(X0,X1) ) )
| member(X0,symmetric_difference(X1,X2)) ) )
=> ( ( ( ( member(sK1,sK2)
| ~ member(sK1,sK3) )
& ( member(sK1,sK3)
| ~ member(sK1,sK2) ) )
| ~ member(sK1,symmetric_difference(sK2,sK3)) )
& ( ( ( ~ member(sK1,sK3)
| ~ member(sK1,sK2) )
& ( member(sK1,sK3)
| member(sK1,sK2) ) )
| member(sK1,symmetric_difference(sK2,sK3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1,X2] :
( ( ( ( member(X0,X1)
| ~ member(X0,X2) )
& ( member(X0,X2)
| ~ member(X0,X1) ) )
| ~ member(X0,symmetric_difference(X1,X2)) )
& ( ( ( ~ member(X0,X2)
| ~ member(X0,X1) )
& ( member(X0,X2)
| member(X0,X1) ) )
| member(X0,symmetric_difference(X1,X2)) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
? [X0,X1,X2] :
( member(X0,symmetric_difference(X1,X2))
<~> ( member(X0,X1)
<~> member(X0,X2) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1,X2] :
( member(X0,symmetric_difference(X1,X2))
<=> ~ ( member(X0,X1)
<=> member(X0,X2) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1,X2] :
( member(X0,symmetric_difference(X1,X2))
<=> ~ ( member(X0,X1)
<=> member(X0,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wDOMcjEgh6/Vampire---4.8_27888',prove_th23) ).
fof(f59,plain,
( spl4_1
| ~ spl4_3
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f41,f50,f54,f46]) ).
fof(f41,plain,
( ~ member(sK1,sK3)
| ~ member(sK1,sK2)
| member(sK1,union(difference(sK2,sK3),difference(sK3,sK2))) ),
inference(definition_unfolding,[],[f35,f27]) ).
fof(f35,plain,
( ~ member(sK1,sK3)
| ~ member(sK1,sK2)
| member(sK1,symmetric_difference(sK2,sK3)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f58,plain,
( ~ spl4_1
| ~ spl4_3
| spl4_2 ),
inference(avatar_split_clause,[],[f40,f50,f54,f46]) ).
fof(f40,plain,
( member(sK1,sK3)
| ~ member(sK1,sK2)
| ~ member(sK1,union(difference(sK2,sK3),difference(sK3,sK2))) ),
inference(definition_unfolding,[],[f36,f27]) ).
fof(f36,plain,
( member(sK1,sK3)
| ~ member(sK1,sK2)
| ~ member(sK1,symmetric_difference(sK2,sK3)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f57,plain,
( ~ spl4_1
| ~ spl4_2
| spl4_3 ),
inference(avatar_split_clause,[],[f39,f54,f50,f46]) ).
fof(f39,plain,
( member(sK1,sK2)
| ~ member(sK1,sK3)
| ~ member(sK1,union(difference(sK2,sK3),difference(sK3,sK2))) ),
inference(definition_unfolding,[],[f37,f27]) ).
fof(f37,plain,
( member(sK1,sK2)
| ~ member(sK1,sK3)
| ~ member(sK1,symmetric_difference(sK2,sK3)) ),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET580+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.14 % 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
% 0.15/0.35 % 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 17:11:51 EDT 2024
% 0.15/0.35 % 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.wDOMcjEgh6/Vampire---4.8_27888
% 0.59/0.79 % (28104)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.59/0.79 % (28107)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 (2995ds/83Mi)
% 0.59/0.79 % (28104)Refutation not found, incomplete strategy% (28104)------------------------------
% 0.59/0.79 % (28104)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79 % (28104)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79
% 0.59/0.79 % (28104)Memory used [KB]: 958
% 0.59/0.79 % (28104)Time elapsed: 0.004 s
% 0.59/0.80 % (28104)Instructions burned: 2 (million)
% 0.59/0.80 % (28104)------------------------------
% 0.59/0.80 % (28104)------------------------------
% 0.59/0.80 % (28103)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.80 % (28101)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 (2995ds/34Mi)
% 0.59/0.80 % (28102)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 (2995ds/51Mi)
% 0.59/0.80 % (28106)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.59/0.80 % (28105)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 (2995ds/34Mi)
% 0.59/0.80 % (28108)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 (2995ds/56Mi)
% 0.59/0.80 % (28106)Refutation not found, incomplete strategy% (28106)------------------------------
% 0.59/0.80 % (28106)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80 % (28108)Refutation not found, incomplete strategy% (28108)------------------------------
% 0.59/0.80 % (28108)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80 % (28108)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (28108)Memory used [KB]: 955
% 0.59/0.80 % (28108)Time elapsed: 0.005 s
% 0.59/0.80 % (28108)Instructions burned: 2 (million)
% 0.59/0.80 % (28108)------------------------------
% 0.59/0.80 % (28108)------------------------------
% 0.59/0.80 % (28106)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (28106)Memory used [KB]: 956
% 0.59/0.80 % (28106)Time elapsed: 0.005 s
% 0.59/0.80 % (28105)Refutation not found, incomplete strategy% (28105)------------------------------
% 0.59/0.80 % (28105)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80 % (28105)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (28105)Memory used [KB]: 959
% 0.59/0.80 % (28105)Time elapsed: 0.005 s
% 0.59/0.80 % (28105)Instructions burned: 3 (million)
% 0.59/0.80 % (28105)------------------------------
% 0.59/0.80 % (28105)------------------------------
% 0.59/0.80 % (28106)Instructions burned: 2 (million)
% 0.59/0.80 % (28106)------------------------------
% 0.59/0.80 % (28106)------------------------------
% 0.59/0.80 % (28109)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 (2995ds/55Mi)
% 0.59/0.80 % (28102)First to succeed.
% 0.59/0.80 % (28101)Also succeeded, but the first one will report.
% 0.59/0.80 % (28102)Refutation found. Thanks to Tanya!
% 0.59/0.80 % SZS status Theorem for Vampire---4
% 0.59/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.80 % (28102)------------------------------
% 0.59/0.80 % (28102)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80 % (28102)Termination reason: Refutation
% 0.59/0.80
% 0.59/0.80 % (28102)Memory used [KB]: 1003
% 0.59/0.80 % (28102)Time elapsed: 0.008 s
% 0.59/0.80 % (28102)Instructions burned: 6 (million)
% 0.59/0.80 % (28102)------------------------------
% 0.59/0.80 % (28102)------------------------------
% 0.59/0.80 % (28076)Success in time 0.425 s
% 0.59/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------