TSTP Solution File: SEU186+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU186+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/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 09:20:51 EDT 2024
% Result : Theorem 0.61s 0.77s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 49 ( 14 unt; 0 def)
% Number of atoms : 105 ( 29 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 102 ( 46 ~; 31 |; 12 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 75 ( 66 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,plain,
$false,
inference(avatar_sat_refutation,[],[f118,f137,f141]) ).
fof(f141,plain,
~ spl8_1,
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f140,plain,
( $false
| ~ spl8_1 ),
inference(subsumption_resolution,[],[f139,f56]) ).
fof(f56,plain,
empty_set != sK0,
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( empty_set != sK0
& ! [X1,X2] : ~ in(ordered_pair(X1,X2),sK0)
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f30,f40]) ).
fof(f40,plain,
( ? [X0] :
( empty_set != X0
& ! [X1,X2] : ~ in(ordered_pair(X1,X2),X0)
& relation(X0) )
=> ( empty_set != sK0
& ! [X2,X1] : ~ in(ordered_pair(X1,X2),sK0)
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0] :
( empty_set != X0
& ! [X1,X2] : ~ in(ordered_pair(X1,X2),X0)
& relation(X0) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
? [X0] :
( empty_set != X0
& ! [X1,X2] : ~ in(ordered_pair(X1,X2),X0)
& relation(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( ! [X1,X2] : ~ in(ordered_pair(X1,X2),X0)
=> empty_set = X0 ) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X0] :
( relation(X0)
=> ( ! [X1,X2] : ~ in(ordered_pair(X1,X2),X0)
=> empty_set = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.JfMp47WS2t/Vampire---4.8_12222',t56_relat_1) ).
fof(f139,plain,
( empty_set = sK0
| ~ spl8_1 ),
inference(resolution,[],[f113,f58]) ).
fof(f58,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.JfMp47WS2t/Vampire---4.8_12222',t6_boole) ).
fof(f113,plain,
( empty(sK0)
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl8_1
<=> empty(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f137,plain,
( spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f136,f115,f111]) ).
fof(f115,plain,
( spl8_2
<=> sK7(sK0) = unordered_pair(singleton(sK1(sK7(sK0))),unordered_pair(sK1(sK7(sK0)),sK2(sK7(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f136,plain,
( empty(sK0)
| ~ spl8_2 ),
inference(resolution,[],[f121,f101]) ).
fof(f101,plain,
! [X0] :
( in(sK7(X0),X0)
| empty(X0) ),
inference(resolution,[],[f63,f79]) ).
fof(f79,plain,
! [X0] : element(sK7(X0),X0),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] : element(sK7(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f11,f52]) ).
fof(f52,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK7(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f11,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.JfMp47WS2t/Vampire---4.8_12222',existence_m1_subset_1) ).
fof(f63,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JfMp47WS2t/Vampire---4.8_12222',t2_subset) ).
fof(f121,plain,
( ~ in(sK7(sK0),sK0)
| ~ spl8_2 ),
inference(superposition,[],[f83,f117]) ).
fof(f117,plain,
( sK7(sK0) = unordered_pair(singleton(sK1(sK7(sK0))),unordered_pair(sK1(sK7(sK0)),sK2(sK7(sK0))))
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f83,plain,
! [X2,X1] : ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),sK0),
inference(backward_demodulation,[],[f80,f61]) ).
fof(f61,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.JfMp47WS2t/Vampire---4.8_12222',commutativity_k2_tarski) ).
fof(f80,plain,
! [X2,X1] : ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),sK0),
inference(definition_unfolding,[],[f55,f59]) ).
fof(f59,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/tmp/tmp.JfMp47WS2t/Vampire---4.8_12222',d5_tarski) ).
fof(f55,plain,
! [X2,X1] : ~ in(ordered_pair(X1,X2),sK0),
inference(cnf_transformation,[],[f41]) ).
fof(f118,plain,
( spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f108,f115,f111]) ).
fof(f108,plain,
( sK7(sK0) = unordered_pair(singleton(sK1(sK7(sK0))),unordered_pair(sK1(sK7(sK0)),sK2(sK7(sK0))))
| empty(sK0) ),
inference(resolution,[],[f105,f54]) ).
fof(f54,plain,
relation(sK0),
inference(cnf_transformation,[],[f41]) ).
fof(f105,plain,
! [X0] :
( ~ relation(X0)
| sK7(X0) = unordered_pair(singleton(sK1(sK7(X0))),unordered_pair(sK1(sK7(X0)),sK2(sK7(X0))))
| empty(X0) ),
inference(resolution,[],[f84,f101]) ).
fof(f84,plain,
! [X0,X1] :
( ~ in(X1,X0)
| unordered_pair(singleton(sK1(X1)),unordered_pair(sK1(X1),sK2(X1))) = X1
| ~ relation(X0) ),
inference(backward_demodulation,[],[f81,f61]) ).
fof(f81,plain,
! [X0,X1] :
( unordered_pair(unordered_pair(sK1(X1),sK2(X1)),singleton(sK1(X1))) = X1
| ~ in(X1,X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f60,f59]) ).
fof(f60,plain,
! [X0,X1] :
( ordered_pair(sK1(X1),sK2(X1)) = X1
| ~ in(X1,X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ordered_pair(sK1(X1),sK2(X1)) = X1
| ~ in(X1,X0) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f33,f42]) ).
fof(f42,plain,
! [X1] :
( ? [X2,X3] : ordered_pair(X2,X3) = X1
=> ordered_pair(sK1(X1),sK2(X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( ? [X2,X3] : ordered_pair(X2,X3) = X1
| ~ in(X1,X0) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( relation(X0)
=> ! [X1] :
~ ( ! [X2,X3] : ordered_pair(X2,X3) != X1
& in(X1,X0) ) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
<=> ! [X1] :
~ ( ! [X2,X3] : ordered_pair(X2,X3) != X1
& in(X1,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JfMp47WS2t/Vampire---4.8_12222',d1_relat_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SEU186+1 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.11 % 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
% 0.11/0.31 % Computer : n019.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 11:21:14 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.17/0.31 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.JfMp47WS2t/Vampire---4.8_12222
% 0.55/0.76 % (12333)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)
% 0.55/0.76 % (12337)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)
% 0.55/0.76 % (12332)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.55/0.76 % (12330)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)
% 0.55/0.76 % (12336)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)
% 0.55/0.76 % (12334)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)
% 0.55/0.76 % (12335)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)
% 0.61/0.76 % (12337)Refutation not found, incomplete strategy% (12337)------------------------------
% 0.61/0.76 % (12337)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (12335)Refutation not found, incomplete strategy% (12335)------------------------------
% 0.61/0.76 % (12335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (12335)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (12335)Memory used [KB]: 958
% 0.61/0.76 % (12335)Time elapsed: 0.003 s
% 0.61/0.76 % (12335)Instructions burned: 2 (million)
% 0.61/0.76 % (12337)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (12337)Memory used [KB]: 959
% 0.61/0.76 % (12337)Time elapsed: 0.002 s
% 0.61/0.76 % (12337)Instructions burned: 2 (million)
% 0.61/0.76 % (12334)Refutation not found, incomplete strategy% (12334)------------------------------
% 0.61/0.76 % (12334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (12334)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (12334)Memory used [KB]: 977
% 0.61/0.76 % (12334)Time elapsed: 0.003 s
% 0.61/0.76 % (12334)Instructions burned: 3 (million)
% 0.61/0.76 % (12331)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)
% 0.61/0.76 % (12335)------------------------------
% 0.61/0.76 % (12335)------------------------------
% 0.61/0.76 % (12333)Refutation not found, incomplete strategy% (12333)------------------------------
% 0.61/0.76 % (12333)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (12333)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (12337)------------------------------
% 0.61/0.76 % (12337)------------------------------
% 0.61/0.76 % (12333)Memory used [KB]: 979
% 0.61/0.76 % (12333)Time elapsed: 0.003 s
% 0.61/0.76 % (12333)Instructions burned: 2 (million)
% 0.61/0.76 % (12334)------------------------------
% 0.61/0.76 % (12334)------------------------------
% 0.61/0.76 % (12330)Refutation not found, incomplete strategy% (12330)------------------------------
% 0.61/0.76 % (12330)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (12330)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (12330)Memory used [KB]: 977
% 0.61/0.76 % (12330)Time elapsed: 0.004 s
% 0.61/0.76 % (12330)Instructions burned: 3 (million)
% 0.61/0.76 % (12330)------------------------------
% 0.61/0.76 % (12330)------------------------------
% 0.61/0.76 % (12333)------------------------------
% 0.61/0.76 % (12333)------------------------------
% 0.61/0.76 % (12336)Refutation not found, incomplete strategy% (12336)------------------------------
% 0.61/0.76 % (12336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (12336)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (12336)Memory used [KB]: 957
% 0.61/0.76 % (12336)Time elapsed: 0.003 s
% 0.61/0.76 % (12336)Instructions burned: 2 (million)
% 0.61/0.76 % (12336)------------------------------
% 0.61/0.76 % (12336)------------------------------
% 0.61/0.76 % (12332)First to succeed.
% 0.61/0.76 % (12332)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12329"
% 0.61/0.76 % (12331)Refutation not found, incomplete strategy% (12331)------------------------------
% 0.61/0.76 % (12331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (12331)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (12331)Memory used [KB]: 1056
% 0.61/0.77 % (12331)Time elapsed: 0.004 s
% 0.61/0.77 % (12331)Instructions burned: 6 (million)
% 0.61/0.77 % (12332)Refutation found. Thanks to Tanya!
% 0.61/0.77 % SZS status Theorem for Vampire---4
% 0.61/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77 % (12332)------------------------------
% 0.61/0.77 % (12332)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (12332)Termination reason: Refutation
% 0.61/0.77
% 0.61/0.77 % (12332)Memory used [KB]: 1073
% 0.61/0.77 % (12332)Time elapsed: 0.006 s
% 0.61/0.77 % (12332)Instructions burned: 7 (million)
% 0.61/0.77 % (12329)Success in time 0.446 s
% 0.61/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------