TSTP Solution File: SET020+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET020+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : n027.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 03:44:11 EDT 2024
% Result : Theorem 0.55s 0.74s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 65 ( 33 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 58 ( 19 ~; 14 |; 19 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 19 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f117,plain,
$false,
inference(avatar_sat_refutation,[],[f82,f114,f116]) ).
fof(f116,plain,
spl4_2,
inference(avatar_split_clause,[],[f115,f79]) ).
fof(f79,plain,
( spl4_2
<=> sK0 = first(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f115,plain,
sK0 = first(sK2),
inference(forward_demodulation,[],[f96,f58]) ).
fof(f58,plain,
sK2 = ordered_pair(sK0,sK1),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
? [X0,X1,X2] :
( ( second(X2) != X1
| first(X2) != X0 )
& ordered_pair(X0,X1) = X2
& member(X1,universal_class)
& member(X0,universal_class) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
? [X0,X1,X2] :
( ( second(X2) != X1
| first(X2) != X0 )
& ordered_pair(X0,X1) = X2
& member(X1,universal_class)
& member(X0,universal_class) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0,X1,X2] :
( ( ordered_pair(X0,X1) = X2
& member(X1,universal_class)
& member(X0,universal_class) )
=> ( second(X2) = X1
& first(X2) = X0 ) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X2,X3,X0] :
( ( ordered_pair(X2,X3) = X0
& member(X3,universal_class)
& member(X2,universal_class) )
=> ( second(X0) = X3
& first(X0) = X2 ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X2,X3,X0] :
( ( ordered_pair(X2,X3) = X0
& member(X3,universal_class)
& member(X2,universal_class) )
=> ( second(X0) = X3
& first(X0) = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.nLjunLYdub/Vampire---4.8_15796',unique_1st_and_2nd_in_pair_of_sets1) ).
fof(f96,plain,
sK0 = first(ordered_pair(sK0,sK1)),
inference(unit_resulting_resolution,[],[f56,f57,f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| first(ordered_pair(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( second(ordered_pair(X0,X1)) = X1
& first(ordered_pair(X0,X1)) = X0 )
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( second(ordered_pair(X0,X1)) = X1
& first(ordered_pair(X0,X1)) = X0 )
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( member(X1,universal_class)
& member(X0,universal_class) )
=> ( second(ordered_pair(X0,X1)) = X1
& first(ordered_pair(X0,X1)) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.nLjunLYdub/Vampire---4.8_15796',first_second) ).
fof(f57,plain,
member(sK1,universal_class),
inference(cnf_transformation,[],[f50]) ).
fof(f56,plain,
member(sK0,universal_class),
inference(cnf_transformation,[],[f50]) ).
fof(f114,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f113,plain,
( $false
| spl4_1 ),
inference(subsumption_resolution,[],[f112,f77]) ).
fof(f77,plain,
( sK1 != second(sK2)
| spl4_1 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl4_1
<=> sK1 = second(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f112,plain,
sK1 = second(sK2),
inference(forward_demodulation,[],[f100,f58]) ).
fof(f100,plain,
sK1 = second(ordered_pair(sK0,sK1)),
inference(unit_resulting_resolution,[],[f56,f57,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| second(ordered_pair(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f82,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f55,f79,f75]) ).
fof(f55,plain,
( sK0 != first(sK2)
| sK1 != second(sK2) ),
inference(cnf_transformation,[],[f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET020+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.12/0.14 % 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
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 17:46:33 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35 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.nLjunLYdub/Vampire---4.8_15796
% 0.55/0.73 % (16005)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)
% 0.55/0.73 % (16004)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)
% 0.55/0.74 % (16005)Refutation not found, incomplete strategy% (16005)------------------------------
% 0.55/0.74 % (16005)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (16005)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (16005)Memory used [KB]: 1042
% 0.55/0.74 % (16005)Time elapsed: 0.002 s
% 0.55/0.74 % (16005)Instructions burned: 2 (million)
% 0.55/0.74 % (16005)------------------------------
% 0.55/0.74 % (16005)------------------------------
% 0.55/0.74 % (15997)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)
% 0.55/0.74 % (15998)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)
% 0.55/0.74 % (16001)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)
% 0.55/0.74 % (16002)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)
% 0.55/0.74 % (15999)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74 % (16003)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)
% 0.55/0.74 % (16004)First to succeed.
% 0.55/0.74 % (16004)Refutation found. Thanks to Tanya!
% 0.55/0.74 % SZS status Theorem for Vampire---4
% 0.55/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.74 % (16004)------------------------------
% 0.55/0.74 % (16004)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (16004)Termination reason: Refutation
% 0.55/0.74
% 0.55/0.74 % (16004)Memory used [KB]: 1070
% 0.55/0.74 % (16004)Time elapsed: 0.003 s
% 0.55/0.74 % (16004)Instructions burned: 4 (million)
% 0.55/0.74 % (16004)------------------------------
% 0.55/0.74 % (16004)------------------------------
% 0.55/0.74 % (15947)Success in time 0.381 s
% 0.55/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------