TSTP Solution File: SET976+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET976+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n019.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 09:09:14 EDT 2024
% Result : Theorem 0.76s 0.93s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 3 unt; 0 def)
% Number of atoms : 164 ( 50 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 193 ( 75 ~; 79 |; 29 &)
% ( 7 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 76 ( 57 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,plain,
$false,
inference(avatar_sat_refutation,[],[f46,f47,f54,f61]) ).
fof(f61,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f60,plain,
( $false
| ~ spl5_1
| spl5_2 ),
inference(subsumption_resolution,[],[f58,f45]) ).
fof(f45,plain,
( sK1 != sK3
| spl5_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl5_2
<=> sK1 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f58,plain,
( sK1 = sK3
| ~ spl5_1 ),
inference(resolution,[],[f56,f36]) ).
fof(f36,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f27]) ).
fof(f27,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ( ( sK4(X0,X1) != X0
| ~ in(sK4(X0,X1),X1) )
& ( sK4(X0,X1) = X0
| in(sK4(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f18,f19]) ).
fof(f19,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) )
=> ( ( sK4(X0,X1) != X0
| ~ in(sK4(X0,X1),X1) )
& ( sK4(X0,X1) = X0
| in(sK4(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.cgwLzTNa3y/Vampire---4.8_5098',d1_tarski) ).
fof(f56,plain,
( in(sK1,singleton(sK3))
| ~ spl5_1 ),
inference(resolution,[],[f40,f32]) ).
fof(f32,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) )
& ( ( in(X1,X3)
& in(X0,X2) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) )
& ( ( in(X1,X3)
& in(X0,X2) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X1,X3)
& in(X0,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.cgwLzTNa3y/Vampire---4.8_5098',l55_zfmisc_1) ).
fof(f40,plain,
( in(ordered_pair(sK0,sK1),cartesian_product2(sK2,singleton(sK3)))
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl5_1
<=> in(ordered_pair(sK0,sK1),cartesian_product2(sK2,singleton(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f54,plain,
( spl5_1
| ~ spl5_2 ),
inference(avatar_contradiction_clause,[],[f53]) ).
fof(f53,plain,
( $false
| spl5_1
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f52,f48]) ).
fof(f48,plain,
in(sK0,sK2),
inference(subsumption_resolution,[],[f23,f31]) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(cnf_transformation,[],[f22]) ).
fof(f23,plain,
( in(sK0,sK2)
| in(ordered_pair(sK0,sK1),cartesian_product2(sK2,singleton(sK3))) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( sK1 != sK3
| ~ in(sK0,sK2)
| ~ in(ordered_pair(sK0,sK1),cartesian_product2(sK2,singleton(sK3))) )
& ( ( sK1 = sK3
& in(sK0,sK2) )
| in(ordered_pair(sK0,sK1),cartesian_product2(sK2,singleton(sK3))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f14,f15]) ).
fof(f15,plain,
( ? [X0,X1,X2,X3] :
( ( X1 != X3
| ~ in(X0,X2)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,singleton(X3))) )
& ( ( X1 = X3
& in(X0,X2) )
| in(ordered_pair(X0,X1),cartesian_product2(X2,singleton(X3))) ) )
=> ( ( sK1 != sK3
| ~ in(sK0,sK2)
| ~ in(ordered_pair(sK0,sK1),cartesian_product2(sK2,singleton(sK3))) )
& ( ( sK1 = sK3
& in(sK0,sK2) )
| in(ordered_pair(sK0,sK1),cartesian_product2(sK2,singleton(sK3))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0,X1,X2,X3] :
( ( X1 != X3
| ~ in(X0,X2)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,singleton(X3))) )
& ( ( X1 = X3
& in(X0,X2) )
| in(ordered_pair(X0,X1),cartesian_product2(X2,singleton(X3))) ) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
? [X0,X1,X2,X3] :
( ( X1 != X3
| ~ in(X0,X2)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,singleton(X3))) )
& ( ( X1 = X3
& in(X0,X2) )
| in(ordered_pair(X0,X1),cartesian_product2(X2,singleton(X3))) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
? [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,singleton(X3)))
<~> ( X1 = X3
& in(X0,X2) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,singleton(X3)))
<=> ( X1 = X3
& in(X0,X2) ) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,singleton(X3)))
<=> ( X1 = X3
& in(X0,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.cgwLzTNa3y/Vampire---4.8_5098',t129_zfmisc_1) ).
fof(f52,plain,
( ~ in(sK0,sK2)
| spl5_1
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f51,f35]) ).
fof(f35,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f34]) ).
fof(f34,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f28]) ).
fof(f28,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f51,plain,
( ~ in(sK1,singleton(sK1))
| ~ in(sK0,sK2)
| spl5_1
| ~ spl5_2 ),
inference(resolution,[],[f49,f33]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) ),
inference(cnf_transformation,[],[f22]) ).
fof(f49,plain,
( ~ in(ordered_pair(sK0,sK1),cartesian_product2(sK2,singleton(sK1)))
| spl5_1
| ~ spl5_2 ),
inference(forward_demodulation,[],[f41,f44]) ).
fof(f44,plain,
( sK1 = sK3
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f41,plain,
( ~ in(ordered_pair(sK0,sK1),cartesian_product2(sK2,singleton(sK3)))
| spl5_1 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f47,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f24,f43,f39]) ).
fof(f24,plain,
( sK1 = sK3
| in(ordered_pair(sK0,sK1),cartesian_product2(sK2,singleton(sK3))) ),
inference(cnf_transformation,[],[f16]) ).
fof(f46,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f37,f43,f39]) ).
fof(f37,plain,
( sK1 != sK3
| ~ in(ordered_pair(sK0,sK1),cartesian_product2(sK2,singleton(sK3))) ),
inference(subsumption_resolution,[],[f25,f31]) ).
fof(f25,plain,
( sK1 != sK3
| ~ in(sK0,sK2)
| ~ in(ordered_pair(sK0,sK1),cartesian_product2(sK2,singleton(sK3))) ),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET976+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 17:05:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.cgwLzTNa3y/Vampire---4.8_5098
% 0.76/0.93 % (5340)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 (2994ds/34Mi)
% 0.76/0.93 % (5338)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.76/0.93 % (5336)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 (2994ds/34Mi)
% 0.76/0.93 % (5337)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 (2994ds/51Mi)
% 0.76/0.93 % (5341)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.76/0.93 % (5339)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.76/0.93 % (5342)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 (2994ds/83Mi)
% 0.76/0.93 % (5343)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 (2994ds/56Mi)
% 0.76/0.93 % (5340)Refutation not found, incomplete strategy% (5340)------------------------------
% 0.76/0.93 % (5340)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.93 % (5340)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.93
% 0.76/0.93 % (5340)Memory used [KB]: 974
% 0.76/0.93 % (5340)Time elapsed: 0.003 s
% 0.76/0.93 % (5340)Instructions burned: 3 (million)
% 0.76/0.93 % (5340)------------------------------
% 0.76/0.93 % (5340)------------------------------
% 0.76/0.93 % (5343)Refutation not found, incomplete strategy% (5343)------------------------------
% 0.76/0.93 % (5343)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.93 % (5343)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.93
% 0.76/0.93 % (5343)Memory used [KB]: 971
% 0.76/0.93 % (5343)Time elapsed: 0.003 s
% 0.76/0.93 % (5343)Instructions burned: 3 (million)
% 0.76/0.93 % (5341)First to succeed.
% 0.76/0.93 % (5336)Refutation not found, incomplete strategy% (5336)------------------------------
% 0.76/0.93 % (5336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.93 % (5336)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.93
% 0.76/0.93 % (5336)Memory used [KB]: 976
% 0.76/0.93 % (5336)Time elapsed: 0.004 s
% 0.76/0.93 % (5336)Instructions burned: 4 (million)
% 0.76/0.93 % (5343)------------------------------
% 0.76/0.93 % (5343)------------------------------
% 0.76/0.93 % (5336)------------------------------
% 0.76/0.93 % (5336)------------------------------
% 0.76/0.93 % (5341)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5313"
% 0.76/0.93 % (5339)Also succeeded, but the first one will report.
% 0.76/0.93 % (5341)Refutation found. Thanks to Tanya!
% 0.76/0.93 % SZS status Theorem for Vampire---4
% 0.76/0.93 % SZS output start Proof for Vampire---4
% See solution above
% 0.76/0.93 % (5341)------------------------------
% 0.76/0.93 % (5341)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.93 % (5341)Termination reason: Refutation
% 0.76/0.93
% 0.76/0.93 % (5341)Memory used [KB]: 990
% 0.76/0.93 % (5341)Time elapsed: 0.004 s
% 0.76/0.93 % (5341)Instructions burned: 4 (million)
% 0.76/0.93 % (5313)Success in time 0.563 s
% 0.76/0.93 % Vampire---4.8 exiting
%------------------------------------------------------------------------------